{"data":[{"name":"Protein-protein interaction","means":[[33.19767172106835,30.013353815943063,25.94709095186424,22.97008258531996,18.77527566453875,23.401071583654456,21.073123337631014,23.994365134647918,25.039471129161253,22.508359751506628,25.656740535816624,28.120276855137686,23.025547610528783,23.10666970680016,26.343614287359333,25.409322540426952,21.055588901614865,23.13427028047684,22.122204033494764,22.40309324147036,24.236408599399393,25.33698226593685,26.081268790878138,23.818090645987926,21.083863477708206,19.39891667915975,17.28456795143079,17.035274949487658,20.73654333645701,23.04382499225293,28.60539289329233,28.343276483294204,32.85105955968415,34.02340960581116,29.972187756930854,26.422860272075514,25.470714056095982,21.577514947868607,18.70459718815787,22.118626716758648,17.519574866810586,20.851928700454874,23.987738726619906,21.477478806332172,21.376671807401024,18.72262685623642,22.691230467443653,23.45986792468433,18.77847763864733,21.443837854897605,25.60602482164607,26.34278362990001,28.937805643876438,23.69927606837174,28.009056893350735,31.236957124904993,27.985718511054575,27.292510395235276,32.105122991684965,32.32071951281455,29.843756001716546,33.47413851993723,33.88384844683751,34.70271311806235,30.807354397807465,28.628214969407686,28.21830791587896,27.473508603741813,26.382688871360006,27.515410726105955,26.96999715068572,30.56067387407994,31.36600926558487,31.57606809886513,31.18418203416997,36.23874193668291,32.527501854464106,36.285409921255635,33.32051144828697,31.924701647426282,30.510797981678042,27.716238775037805,27.651803584792994,25.477639215185828,21.41512077715859,23.069439467960738,24.810552207232057,28.4291434414999,28.22848047525354,33.91352147944247,32.776284861767074,36.92244533291184,35.40120444091502,34.95540166738822,31.404227150754213,34.16642816661943,31.02599275244935,31.717301361584447,30.48435793522637,33.868004305232105,30.390113557337372,29.87956002084194,27.307896968472697,25.895150540550866,24.1808539619978,21.754274379326908,24.539084888586476,22.183098042913333,21.343382820289627,22.798289587564213,20.771008704895245,17.707049928286786,18.62903629548128,14.563048803679523,16.60487879497125,13.477391871566228,15.130959958430637,12.809074964572524,18.166411160497713,19.792521930566178,19.05187516368754,18.764598103624866,15.14843515574882,15.172342502367421,16.863222153709422,12.937984304534307,17.727313870416882,14.800766688780396,16.31074872407735,17.30386545339135,16.004830231443833,19.404481247063348,16.326830695384032,18.667464940699084,12.986106543171434,11.172950384822215,10.362509758340511,7.014238406644638,6.172431357809386,6.877528074581484,6.693112787674006,9.415982917739717,11.92973368142491,10.729007861320264,12.822027202235232,15.799142081051642,14.024378356678247,17.31603795005396,18.388433470702815,20.900127828731527,23.68851459548183,27.243995951105,31.025299866446332,35.12857296100711,34.058089675002556,31.138047645794142,27.374739155914366,25.993136064367928,23.92532526425315,21.132084827877897,15.910016892295678,17.353267633793752,11.44314548476805,14.788095647134037,11.37510835349781,6.23537341753565,9.373767150322951,9.49978746959897,8.886879112842582,5.099852416676947,7.596584705769152,7.119548847624807,11.845999019632822,15.375919877818188,18.526498371927545,22.20003136534271,22.924544819568833,26.837517639549848,22.95527404134814,23.703489890712763,18.59929794866356,19.0732476739736,19.550572048352414,19.752046636985362,16.421258753418496,18.529593698575187,18.21982623554262,20.436570657540802,15.965612619299682,17.838706959568285,17.400411577192692,15.753774638357747,15.272248181512596,14.787965645021895,16.977472838470472,19.138167127357832,16.860494348010658,20.706259173670247,21.70869430719155,22.1610981268821,26.767886872898888,27.378934760267075,23.919004332777924,25.656777774874275,29.803322293148284,28.264900314834748,25.545003676177984,29.97059411235309,33.36622867587943,30.184223213600234,31.427317242116764,35.140895836332916,34.405522208952455,32.59821553193182,35.858304526500675,33.40191163573813,38.459535176135574,34.81233873091896,34.10026803034966,37.9097667213483,39.699428545807834,44.34459641595182,43.291024830117756,43.286755283527874,40.30228722333894,40.64848428609971,37.01485678135827,38.97263970596394,39.069172813174106,33.124908606121096,33.630724491666236,36.10789745654684,32.946146278356856,29.49649023376929,29.730311826783176,30.908551259704964,28.498785569517707,23.61198419008838,25.275699277343755,25.677300432622314,29.466220403840484,31.95079807063649,33.604986048671606,38.050253419344635,34.71108318893397,31.310748598021636,36.21845254649438,37.00928581926293,32.29514587011733,33.08212582574701,37.160299848791446,36.54185224488317,34.240919111523056,38.45957739579927,40.54634286338265,38.12224212828425,38.68532832720189,41.770245203007825,39.34122474794127,39.884056172036,36.75352315194322,39.04613809494779,39.9901851128898,34.53249295253965,34.65418370799021,37.043019555851195,35.33952049907531,30.980062177455366,35.21398540469536,36.2715902465253,31.27153416150689,29.78912563044706,34.719538307503115,34.73197217563416,31.197298274554964,28.681767656697733,31.805085425696934,30.044316439976242,33.41305952662853,29.435398942009407,28.500332754848205,27.249757090529975,26.284428633061726,24.28464105837421,24.680567831570443,22.21154735762743,23.95397925526972,20.06626614086854,19.732403088233546,17.471421546301727,22.647357703955727,24.86809028235929,28.607193873460197,28.326373865752494,24.966384981336564,28.581271840180534,31.17197207092923,26.759216389968397,28.144503751127417,32.61187967817585,34.636059014087934,34.32159066745729,34.78169682653029,36.89301545220051],[29.923422190207845,26.701907051994304,22.70155793740798,19.636840601992294,15.677919443159299,20.642600308946736,18.741164643020127,22.08393980450066,23.19496524230933,21.151458030715297,24.558013855516055,27.088488488066368,22.43610756819533,22.354621056682927,26.11747314373697,25.44968401428884,21.310548526701705,24.005100815822708,23.545860821213974,24.19328435039539,26.37932115614943,27.895138329743972,28.691019769245376,26.57382657898704,23.794546420953772,21.621257371893908,19.344057680222072,18.34821466302309,21.755700447256523,23.629416605941753,29.23087370595058,28.73643914369735,33.28827347309521,34.9340969774709,30.988843225854225,27.65193491835731,26.480356342074533,23.277971219098294,20.695906958505876,24.563676289689365,20.22109884771267,23.352285356139568,26.7423231922859,24.529691835317504,24.635858532996664,22.14011231800016,26.167723007114855,26.784596894744237,22.0556680843565,24.86773017739226,28.931385317771802,29.549308515928313,32.08709436222487,26.63423704423756,30.763332739426637,34.20342225855834,31.02866691827616,29.9955294246128,34.80721941653134,35.327980692809064,32.62027773373562,35.986267168325384,36.08243356745545,37.1296903515837,33.35353945020333,30.87772708014429,30.145364775792135,28.970455446789273,27.626131934467022,28.23403697564282,27.65038765134797,31.217135648763005,32.19847072666143,32.91994161915773,32.40187508920732,37.771378788988066,34.30654821616762,37.94441597768544,35.14079281550113,34.05763272098541,32.378989406287054,29.848408723368166,29.23332943606498,27.303911048438376,23.42312927717392,24.742228666106435,26.758862735743715,29.927026697755547,29.90695289161311,35.30238487820921,34.033119346324334,38.13669107757479,36.26664929834886,35.51239655218623,31.64909866014681,34.174453179178215,30.72933914025686,31.59074666379001,30.021936673969908,33.15271217718065,30.28995315353045,29.410899136953784,27.49066088457109,25.59554749197447,24.368521879616456,21.276677127643737,23.954916771695007,21.450283299867387,19.91548681926614,21.55596378879198,18.962508232878868,16.48440382340017,17.06287147455154,13.36066834738897,15.869493705215483,12.968278159475936,15.50433590959111,13.576107433578091,19.41279245951385,20.503730426062685,19.268052425027967,18.393363454116585,14.363709563630495,13.816997874667907,14.948710399682023,10.908846732200253,15.242777185547666,12.96195202736903,14.642716367181256,16.633191536724816,14.831303607367317,18.789397684472917,16.40536438358991,18.906084306969987,13.052937726808498,10.65117277494455,8.470305949233305,5.473817742988726,4.6770633667685875,7.448598228018589,8.384080419144118,12.196342114291678,14.034018486851018,12.224701062318598,14.786317343095309,16.955114451811234,14.610779750464232,17.291280414224026,17.93480840324471,19.802857030860785,22.389561793627568,25.777269382062517,29.66425080251781,33.47644628246991,32.82657688874844,30.195828413330673,26.593145158917103,25.22465844246824,23.68222898990544,20.756255452942806,16.101632574730285,18.33277989154235,12.787503038609204,16.71130884107794,13.755414129742912,9.154316218322467,11.473160239049264,11.804753273930254,9.899380382768511,6.101101104828563,8.22706817531456,8.018565160363577,13.226519589753261,16.55164847039392,19.64402842449254,22.944966022735397,23.592704952546857,27.755810703255975,24.34018933760173,24.901704329797745,20.156104492313876,19.589926276003,20.645877415076253,21.256132147266033,18.121431174981936,20.94865237797968,20.829684653217793,23.40417821897173,19.225312519404575,20.821915221942774,20.162448270852142,18.194697186954905,17.079225033449873,15.87663616592924,17.511521809237344,19.06009270565572,15.995858039494243,19.59521199245514,19.899824722536646,20.381821623712643,24.797370551264454,25.37440254157879,21.695107726271395,23.13008809091288,27.3552071282745,25.6328664694091,22.517791908334218,27.07420269390389,30.612803215092836,27.114333445386315,28.23047963521023,32.018311430314064,31.288555200718346,29.272862290823284,32.507425612305624,30.06352478603453,35.2517049579638,31.639199614712506,31.075963977975352,34.94752022617463,36.97620264514259,41.58191657761514,40.80059114292566,40.97506754676092,38.18155151857949,38.806295672519845,35.31105164093224,37.520125199121814,37.311086120230726,31.26039656414493,32.19769046455824,34.7370323518259,31.28637252719117,27.968220823655912,28.678750912651193,29.528584650898942,26.720918402300075,22.369645922882583,23.422032594930506,24.429252737675114,28.220826707793012,30.317389670258443,32.24596855416956,36.557848536877515,33.37083454861629,29.700695305394028,34.30950585012802,35.24231245330845,30.43313521272192,30.847551223658776,34.890156882917644,34.201023053153584,31.64982329138848,35.90476504040158,37.95272438268376,35.33896720339257,35.810743491963855,38.98806738092895,36.568849588230734,37.364353151688235,34.44122798549623,36.84200102605489,37.44937711679105,31.88578232585626,32.37584965700712,34.604410127457186,32.67356659131351,28.512710329249504,33.008105017952204,33.73333360108516,28.574090647700313,27.498639495528987,32.50293998880591,32.203271553275954,28.53114635519957,25.713916353470196,28.95802607740638,26.92337883907968,30.21352684212332,26.069457083360568,25.23638933843322,23.873130482643266,22.79215188257342,20.908787301066777,21.47733899927386,19.180610992847598,21.116566379679817,17.17354627472381,17.414998848416985,14.92975827022196,19.909274622254845,22.683285694067354,26.343378361235835,26.33113866352276,22.56070922719097,25.879084741462535,28.65986246775948,24.29920257762132,25.212711497429588,29.73318483954423,31.96889610903811,31.767937013964698,32.40729782707502,34.58616298246407],[25.772807629585294,22.591398178332984,18.98860338406502,15.422630525405566,12.515015107359082,17.679654361591297,16.583923450403802,20.604860459701303,21.461245175699222,20.106914712659698,23.708221023911637,26.45602787406194,22.58160040611585,21.964383173256923,26.39776743708484,26.262990731662686,22.455932447492124,25.750646845239867,25.791406561371264,27.067516646384874,29.50156967090821,31.593364895912032,32.28434232205611,30.2768023859332,27.61620092460532,24.862839373461657,22.66302267335633,20.884248908180943,23.93946880099934,25.38415654309296,30.664980534183677,30.148877373436427,34.62701621054572,36.810271463225206,33.137802823790445,30.03166881780286,28.84396633434183,26.418403606929957,24.27408766140601,28.73125578837661,24.524306314913133,27.193305163213143,30.89277822243525,29.014025919062597,29.19469564239859,26.916325550274486,31.007249676325625,31.56308175867378,26.94054689394121,29.92984952814329,33.914088093930665,34.491384631067916,36.92748358699937,31.27990121979049,35.294014981085766,38.81497088703839,35.58993940339343,34.24760971346007,39.04448216375559,39.78409522443231,36.70365172390032,39.71640995718664,39.42695637528341,40.589064697367455,36.997411489184515,34.27114357596793,32.93782367722582,31.32657311187485,29.490167488663975,29.461350000822268,28.697166037487026,32.06778092774863,33.42749855212648,34.808260092135214,34.328892294255866,40.07785945227111,37.07942793933975,40.62131785131178,38.14608036788596,37.532619854095955,35.716417266349566,33.61309317710369,32.518715486877774,31.019702978533942,27.327701323341504,28.105329568105308,30.190472890878144,32.85765243800935,32.80245270335374,37.79437451681952,36.21656300253761,40.1168866570776,37.82401821892601,36.76052111430774,32.53498331014806,34.613692004760885,30.793635635799497,32.132032108066845,30.231776405516385,33.11024225693832,31.211423670361086,30.090168673182905,29.08400184424516,26.815158946118594,26.461479845007457,22.645951978905973,25.214448744421734,22.711526063150835,20.19270736910201,21.89287432940978,18.403460323137846,16.871238953495027,16.534252118447874,13.62228200985743,16.154543597230095,13.64719999656016,16.976794545955837,15.410215714845181,21.4096253170559,21.981402287137115,20.031434629297266,18.52970732446901,14.087330692101771,13.007096231012211,13.398832939783667,10.09670494060281,13.464710246754317,12.820651117076606,14.837382324068246,18.17790971070308,15.980959087271245,20.45752820146909,19.08030637309944,21.542274555770117,15.89648276684199,12.92556445274357,9.451146073126585,7.656502110733961,6.575136421641945,10.559665053296674,11.677119165521226,16.250229499217834,17.44635845329841,15.337768841498368,18.402332831982356,19.669871866302678,16.837320455456446,18.726542044385184,18.995544906112908,19.720615815372707,22.11116147987931,24.914857013750115,29.004800449770364,32.146827560182686,32.06893500800204,30.01781868614912,26.677242733892687,25.585083866767942,24.681025402007645,21.991209784663265,18.33055468583383,21.09840124412393,16.224799206685987,20.600200117383885,18.327594932430404,14.173911545128124,16.149043399702137,16.51746754691072,13.867339717678993,10.588795984094508,12.177275411815936,11.989011097622802,17.096535278706497,19.992679548231802,22.782276018132325,25.576597466183213,25.88474821924879,30.39548103445067,27.614660777783282,28.100829174840754,23.907774396365504,22.30473329723889,24.104605960573878,25.149488570548538,22.234896990104115,25.507285268858865,25.366933125376704,28.295561089919,24.294312167016013,25.829099549656522,25.06422163580139,22.916206144240714,21.378378889761926,19.616736156715,20.635430769461728,21.401289075824998,17.522963275397938,20.540793966926067,19.706610370795442,20.183883544382198,24.09254493059856,24.52635971151459,20.560760528112468,21.408709448238515,25.6449521172457,23.51442907775477,19.650811486403814,24.422496567553498,28.14141654453666,23.927008073164753,24.770802033594013,28.68713938607451,27.863701661407895,25.339113154656452,28.565104494646675,26.216581910642937,31.711283839371742,28.21191877311136,28.060038208343304,32.027799049496736,34.552417646373776,39.02269901441117,38.795873273772855,39.3173147491612,36.917766576629994,38.02331218938709,34.81406283244718,37.404565844999254,36.69211415525469,30.57575743617708,32.20892903195208,34.78039055745094,30.915549847345478,27.915563144670003,29.34509000927254,29.598609678767033,26.219446943194235,22.937995717439904,22.975802264454572,24.94747510620984,28.62544899646632,30.030878782372564,32.32667640628562,36.31812015255514,33.38372709381759,29.401922068852173,33.39642428583916,34.48135830737252,29.57816755810862,29.374788815103884,33.22172602423446,32.33713135662188,29.394335766236555,33.72008471388741,35.59557835068759,32.563842508037666,32.955937245005536,36.3291695112692,34.000076294563634,35.31330292139472,32.83200894246258,35.42997475660888,35.390059999821055,29.690379408087498,30.911883777655607,32.794946069119646,30.437418489229202,26.764725713652314,31.649920184143458,31.68854172449858,26.30094049420269,26.0684924365715,31.0586797410688,30.111807813305177,26.22083660569907,22.811894360989115,26.11532111945785,23.443119169956603,26.63534048268618,22.113213278954127,21.683096183943547,19.9693656707983,18.47487046088903,17.06030181587007,18.017497825474617,16.34273386349059,18.778944517800355,14.895277431417732,16.399740017009695,13.479353565837833,17.652697950710817,21.39766551998743,24.800223319548866,25.114576279285284,20.65813382263643,23.369926612901725,26.33660107128463,21.9876864999217,21.99407273948462,26.633364564155883,29.14344608800994,29.08629606683503,29.97144680088767,32.25668441374742],[22.780597797858082,19.620252484470992,15.656073403514561,12.676482118431053,8.411133730566217,13.281034391423264,11.831686483876549,15.564425338575791,17.047640448585494,16.157601151577687,19.904760619897278,22.108571652915668,18.54717444823759,18.730444670575324,23.065682796125802,22.676979547818423,19.45252871577933,23.302051117612837,24.429689208128057,25.320988259470536,28.406563681816532,30.578378793524806,31.820683971045984,30.404148795421502,27.25358547635077,24.271453506192092,21.395029897044484,18.965289093455155,21.212002776954034,21.826102390885303,27.47033206893915,26.188540085522554,30.677202947633088,33.270720135719415,29.620230230896368,26.995408031505306,25.22429785978793,23.796885246134945,22.011894067779657,26.645452190730094,23.242291163406943,25.87360525424546,29.646092203423613,28.34897323306771,29.31498883985134,27.479841822885792,31.687530467496863,31.431201154898154,26.661080515831923,30.206968296822453,33.62277055443012,33.920665031012604,36.027322608105735,30.00675315094718,33.52835363548867,37.41308984710424,34.54877208531175,32.53978825834975,37.19780205669938,38.65166384321557,35.433886088615715,38.04464033838277,37.37549796637496,39.19192194592134,35.79343561746991,32.54939683711532,31.548104930731107,29.341503602180087,28.031675931255307,27.430665573986953,27.205362219656017,30.798739823895094,31.59904342704409,33.29519290873747,32.0785602084727,37.83897846430625,34.79575421207256,37.91434406632356,35.437690299419884,35.04757415274972,32.71690437927788,30.90349001922141,29.065708367205097,27.909831208393125,24.61508837298343,24.99168263365251,27.56126752074334,29.525070193840378,30.09223412934788,34.61618613497385,33.311558250604776,37.35018500946672,34.81440972201033,33.33153050230934,29.027422012175066,31.147023675581593,27.31879753032971,28.045238250271805,25.804880600767493,28.2436948489494,26.567358067682388,25.002338112240995,24.419250369908013,21.808756567848533,21.937152802841847,17.81262248303078,20.534812024898866,18.45044242155112,15.63660909887495,16.861004086165977,13.142985018086252,11.675598618248628,11.36087435628233,8.992559471803226,12.48759797633516,11.063245686603969,14.972282881548729,14.878016997577262,20.8386235179484,20.246638047677738,18.596999753510815,16.40416032810339,12.73125003488922,10.423702562480626,9.576857845350876,5.373259775785527,8.229820407789543,7.623341843752776,10.122119896898225,13.897055071838567,12.65028047474936,17.27188055748175,16.59459262235414,18.13258027403487,13.109460699334463,9.368047832423894,6.854753131139043,5.327692124819906,5.904558558321521,9.27216488720371,12.829980142311502,17.053811832669663,17.147149327660358,14.167439762387112,16.83526313323845,17.00742632060703,13.909096019702309,14.758470111260262,14.335189299104849,14.781070195577117,16.809767982335735,19.788879320793896,23.71865346263965,27.06470309222029,27.064220758934706,24.92537839781825,21.759168270285226,20.44246151154207,19.994993495635423,17.093192964238874,14.190167373087853,17.652607864046114,13.798488969830789,18.25865472092359,16.967448004102586,14.261359197555795,15.710366791851875,17.43014137964598,14.568141250239972,11.230751663405663,11.281753054907535,10.304648892504893,14.668040558571024,16.835851308166824,19.24064692399528,21.469445097239667,21.75323994984574,26.264702065995344,24.09485435773041,24.412221707751446,20.961501552265645,18.38056716381943,21.11401592420132,22.846769504934382,20.127178157594884,23.783901266543033,23.70036781735681,27.34113666639646,24.25400391352464,25.51927742576289,25.054137068054935,22.169157136654444,20.764669383909258,18.587643642656236,19.242826782940924,20.02711859661209,15.736046822240548,18.19434447247967,17.204952968151108,16.560295761857855,20.766713210712766,20.418932188581085,16.385493150284287,18.187147026101837,22.079164147783796,19.490087037126997,16.61996507471782,21.430376484679936,24.386111050807063,20.419400712635202,21.910514819075978,25.610973795742737,24.36336789973554,22.516198129226105,26.19142212775382,24.166447725326904,29.265303531402097,26.8462694416202,25.955449582509818,29.63567627466671,32.37354467786668,36.6566547476616,36.54001182364772,36.530425545281986,34.06568141224115,34.964056504315664,31.44963345071098,34.468032651129434,34.17037689269363,27.915711645884596,29.41346066918025,32.67097272792725,29.082354456725483,25.80088158044084,27.514367334242916,28.556035239958383,25.06155220630445,21.4994534535464,20.76678560643989,21.836972110818383,25.493004011129123,26.482816007179895,28.338422587978652,32.12980007305525,28.87714009920999,25.154712192488706,29.13985001187838,29.805276526993506,24.815910718090464,25.017327271043655,28.684667585427054,27.65058075120141,25.050600342445378,29.59064687037186,31.29347646833828,28.356031078860653,29.19611832610125,32.59334895365264,30.505950138160348,31.667571760248066,29.03042202500877,31.985361952047242,32.2434557994703,26.517168315642238,27.82950918300256,30.23854837916014,28.01387196803178,24.367339089796033,29.62126757078581,30.17609638521355,24.83746867857129,24.657842292308978,30.012892613599305,29.48753773389438,25.708131088999693,22.222655610991723,26.378499794114315,23.87918265357091,26.19214784058283,21.522827646108116,20.046951447778643,17.775997461749494,17.635061332606757,16.25158360578739,17.991628643976227,15.84185187265985,17.006772182806785,12.006755581852577,12.958490049782629,9.003041363763584,13.239178143223812,16.479740107492713,19.996624241949476,19.91363141838263,15.61951699465797,18.811417845375072,21.503809820373,17.072304646575954,17.8017004576495,22.38936860823624,24.611675021022343,24.47342641619035,25.2950146724283,27.561061462537037],[19.041790814694014,16.107291120182154,13.280399807302901,8.742696339309358,7.789395054091142,11.805477207520783,11.7470397308903,16.301001718955593,16.757878808259008,16.591105470448557,20.24099839398484,22.93773225790867,20.433247238039097,19.463905754435764,24.440954865411133,24.889526057400353,21.968308588105973,26.034126814973042,27.204025043042364,28.964304623620784,31.945948370773603,34.71606231742243,35.57431372758342,34.0834119029223,31.315443211524737,27.85404731570511,25.468356582732163,22.609636315113185,24.725724515611788,25.263091915545115,30.0207985753501,29.229713392187787,33.446589896405754,36.396347912431935,33.19652197557082,30.661562458794513,29.31972838634653,28.294693613115477,26.913836020777673,32.07843885863285,28.415703561923078,30.430794491388827,34.469899246740376,33.335999901967845,34.03283734928505,32.3187430043613,36.563045433739404,36.540187409616,32.03930273435234,35.643188347979596,39.16288877830133,39.59967887201051,41.65319914134756,35.5861842952832,39.2117747731244,42.91157662477278,39.786223212613066,37.73982760654822,42.389515856829185,43.73477598723587,40.10478848391877,42.41544008158772,41.4534387560725,43.06855719732084,39.85995502111321,36.609811801454526,34.74816095772649,32.34724691469107,30.263812297250578,29.166035709299173,28.514785580172575,31.67036485775454,33.11124290422537,35.42182250689144,34.60522396245008,40.68939290385082,38.31685140802178,41.47456323852322,39.474473540112825,39.58369261124756,37.45434643686714,36.09535812075048,34.2176809328388,33.50289926921083,30.23693068479904,30.094127362213595,32.30895194552061,34.02016722495889,34.11946593201567,38.283410237821606,36.45688695023075,40.06980196268419,37.189759766867,35.585101688113916,31.002817695971387,32.46670454493301,28.299575319138395,29.964305534682342,27.615970740939066,29.983716103084234,29.461865104742216,28.106596760791707,28.39664841061157,25.887807935727025,26.991126824604088,22.542627153062902,25.15518950360375,23.253051300942822,19.709486144654882,20.77588793320893,16.28921658902561,15.851994423199436,14.048003033048058,12.76946895417457,15.010436363058297,13.800121217652217,17.80057634941035,17.524740256442694,23.202237009968663,22.514498198671873,20.03608400034152,17.54548432104723,13.584245402705838,11.39885787231332,10.132081043847306,8.869733956850844,10.167396567151934,12.150015470810139,14.711846275841003,19.199244573733452,17.717293155567727,22.393540290756565,22.300697272972876,23.883986233855484,19.10232049928874,15.3977111667932,12.396844698081145,11.35129385345763,10.510561037536343,14.170269638561566,16.373371214286323,21.14361234684332,21.08271757759672,18.416627789416307,21.624463788065828,21.398783031818667,18.18500379903548,18.64101159977333,18.333594794384293,17.38409098740965,19.386302929704662,21.110732058171198,25.337012575710624,27.48053985111125,28.06010574802178,26.843318062700682,24.00933734086422,23.415296453570267,23.396033544445473,21.36755580214443,19.429195291335297,22.60500397288717,19.168727169683038,23.819743456478506,22.886972430254147,19.808816909836356,21.617521988461313,22.823441112977548,19.845535101209173,16.6260070439237,17.20557783195197,16.33571471900692,20.740478570926843,22.712326449040685,24.763801754788673,26.666892653091264,26.357859024128324,31.203407600877572,29.518437977923483,29.989239342792562,26.916334763457986,24.03622908798803,27.133330528226207,28.9661792163263,26.29103421150374,29.85814187977764,29.50780646710632,33.23804575330733,29.882313749510594,31.409379481937876,30.898354443805566,28.20272793490225,26.669376935256206,24.414548381095457,24.85476178891158,25.119634485900725,20.539189268597283,22.513748785355702,20.511527986984657,20.047394443254657,23.367029619932637,22.877463001658057,18.73864101498308,19.601747406305595,23.284426492884876,20.15484161218861,16.27345807680515,21.205473357580768,24.280231118150304,19.145699191332152,20.167267945718706,23.997873616460048,22.46010863474542,19.67151669276018,23.40579608276857,21.665416544566405,27.248762497929974,25.08256533480617,24.95559375349134,28.706565930104816,32.14046347179642,36.1377653107726,36.825912150389634,37.347126958200555,35.45514394243411,36.954555960053995,33.89346684819382,37.2365127868968,36.309721000728324,30.164269507318686,32.43198645108273,35.52558434387928,31.52112930300218,28.750426206921897,31.08406013752766,31.311110841640975,27.35760526156577,25.10483315152672,23.528081984772403,25.70108513023237,29.097924051613244,29.337327820547358,31.563467793930744,34.87813138331944,31.986621346157666,28.05273253064167,31.138169975503196,31.920255597771252,26.961306251221167,26.374962476189932,29.586031994801534,28.218160159668905,25.160377920669834,29.745338565131807,31.071332847476224,27.453790562315973,28.279091464983523,31.963887603771553,30.10169775427109,32.040976780289505,30.111695642686044,33.263193403932206,32.600978542556206,26.82703758923624,29.139993629311608,30.968042587074624,28.188945177828355,25.364270519029482,30.902113865623527,30.45701025688457,24.972099408590577,25.92482586591219,31.00368763359515,29.57034954476283,25.60484396522962,21.417759553201634,25.338779566353782,21.91195086357955,24.086715036319323,18.898794565300467,18.291138059111272,15.293906310206207,14.351762107453006,14.130841808863615,16.46162358044568,15.57585980207634,17.525439668411064,13.17101991271499,15.815402138048817,11.82807696437208,14.044004756826165,18.440708636504947,21.358824422063503,21.538338377063972,16.464054254008207,18.58019077407975,21.271319951577997,16.789019137475567,16.016945551404365,20.809624170190855,23.276351545331316,23.282568574908026,24.37685693884194,26.79475194851345],[22.54967770955771,20.067837037775824,17.44998409600203,12.929142272583515,11.048088684279564,12.78900870958291,10.593522409136183,14.498041311905007,13.975126100860859,12.143182905439653,15.606863334762808,18.78960497877517,15.36189884810652,13.972465610047793,18.808687364398274,19.288756179297707,15.956081892856846,19.81944049027931,20.89078715712144,22.874598353684238,25.845260086243794,28.89345856811549,29.695663624022682,28.43662694849999,25.705117652537087,21.952414345664824,19.703406864787688,16.607960921432813,18.77939395748386,19.73429970514815,24.125176445816216,23.97761509989727,28.165717887027423,30.778173769672122,27.660431584338284,24.86485871746956,24.085773704847153,22.79133929459506,21.704088745586283,27.38877975727005,23.553814675198847,24.896189556144627,29.11754170910246,28.357491248710307,29.182680546469992,28.002575242341138,32.31263916161164,31.94893833183872,27.865809546587315,32.01732814974623,35.15167778603413,35.7192238993651,37.41236808885335,31.210461660162238,34.88234583658667,38.240039928857165,34.88584357135398,32.71221899760738,37.273235784497494,38.56276037509279,34.54995985380423,36.599124868075684,35.50365887684817,37.005904671066226,33.9189299284566,30.64959907044507,28.48999437504403,26.072378550690864,23.884522207653486,22.868206036529582,22.213581425368766,25.47838052298321,26.82616211321835,29.047493283749983,28.32670961886015,34.43287564907009,32.19618082499891,35.48244926007746,33.66076934797496,33.98239138224917,32.21799445692388,31.191246747489803,29.75795730329596,29.48826559620159,26.038882456305064,25.327301862924088,26.959426911688496,28.80883450822187,28.32153574339138,32.54861366003844,30.459737996499527,33.9729777952318,31.206735970237176,29.87304517835689,25.381245220551236,26.989181085834645,22.949825802790418,24.929738449779926,23.090004003090215,26.33308782537335,25.142846679814202,24.91501820596171,24.497080385535952,23.16565710895884,24.65522831783841,20.89037075441226,24.431377693131836,23.282359099495526,20.44484696323337,20.492481792144662,16.29544639822055,14.015161430174953,11.442329123857608,8.926634810066416,9.525045145005672,7.764812471787702,11.593471852361631,11.556373046868837,17.003511054112447,16.149409107851657,13.674091249408791,11.284369086245848,7.259755683398205,5.251284930056595,5.716912766572949,5.839908346212424,10.621403487713092,11.51632450468332,15.01599926898546,18.509577129582247,18.650000199637773,23.11208030174751,22.31466137987437,22.980340398081875,18.34042624146929,13.973777270335379,13.215519673324083,9.851463271632731,7.526376836289384,10.02869582782918,12.137116159771692,16.682134511152736,15.72617783668886,13.097520127971855,16.510749366539574,15.95566046065772,12.837861548873047,13.709387075202477,14.445411823927026,13.855003492020046,17.16435188072951,18.692623337199006,23.38324850180893,25.77889968118968,25.28940061388854,23.778726780771205,20.365197156839592,20.401131719260235,19.261182492622027,18.33409572622682,15.983466424670336,17.97464832402501,14.820205623477998,19.547538278318793,19.66764465318714,17.176358865162246,19.985078322758447,21.8148594511528,19.82561429168248,15.890354403115671,16.321234277582604,14.045379683259238,17.951560834758585,19.540408302204142,21.04597042426882,23.15886408283113,22.043036188349102,27.3187776493044,25.564650775938635,26.680238835224497,23.822018210628,21.681656843642877,25.29606730989505,27.268298338607437,24.189684761316638,26.77612782759314,25.582812989189453,29.779408678735827,26.577023847657724,28.76917354064237,28.98513095179278,26.21643825244736,25.746431919851858,24.08414934438917,25.157241834398302,26.364647648781396,22.231724100350387,24.625450910286318,23.539678348322155,22.32347894458213,26.439480534407657,25.346140214200823,21.282039650359078,23.441953000651427,26.901863666899445,23.48862182631308,20.867083454550013,25.771267715175348,28.046147033888083,23.289204653451062,25.006512922856395,28.588652113720705,26.44666955737279,24.316769443442634,28.53506905462255,27.13060219407047,32.39233048758608,30.88565148797787,30.267180647375245,33.814924385357905,37.20252091020172,41.14020571784288,41.66062321950198,41.64760799839954,39.459541221781045,40.483165397868206,36.92982759258826,40.32550418461291,40.074534701012496,33.81340999482702,35.44326075921711,38.96720101320101,35.37966970441406,32.14204335276393,34.016564064432636,35.10169589283136,31.47655967361352,28.111719889854484,27.055950400908998,27.872164881780726,31.446410380519964,31.9874337652324,33.472192132088686,36.86418800346317,33.28640350167068,29.964309598558103,33.54662770785509,33.59644897404664,28.53931498815612,28.976135945788787,31.976883304783343,30.35355091691492,28.025884587718505,32.92662298751332,33.961458056222426,30.429082103870883,32.031403273583585,35.73710990119254,34.16744734969141,35.784503305590164,33.479504031650634,36.87941184965071,36.82196588565028,31.07066974912764,33.05614196425876,35.47506207668548,32.992236613562724,29.856359191540022,35.40871960225928,35.626820787571795,30.21408129064107,30.6422490834738,35.96414698215394,35.04342079059569,31.158520442696663,27.20293227762143,31.305110336258302,28.121166873805286,30.227333517328262,25.07051450387108,23.99023003212457,20.7167855651021,20.481845879424437,20.175385020950944,22.498403230833002,21.107792010719365,22.48650346748066,17.372022977872646,18.775616725316144,14.032954681633184,16.87538129166437,19.94675488319154,23.21125929037026,22.1049296334139,17.653630459468367,20.977130487575582,22.72655861277315,17.35180936524428,18.397823518145284,23.263253639708783,24.760432382765547,24.208012569874583,24.698356624158535,27.0977990968663],[19.93886596367586,17.975109246952336,16.25349385949847,11.497974434742204,11.096775646188137,10.44698680344043,8.393802251914988,12.24913018719447,10.720928841146643,9.476617284534854,12.792435236646575,16.113816781598793,13.832332398591307,11.902672463854692,17.069853520323015,18.11117412358903,15.620906448023891,19.82951398135932,21.66609400967639,23.972517501014103,27.176647148810687,30.62841086143967,31.485011177520065,30.61229721843255,27.93063559054539,23.842594105504396,21.644835407646394,17.992910390854696,19.337227702360813,19.64757724736177,23.305757415962297,23.150765170366927,27.007106841548538,30.066874558930817,27.41049757901059,25.058444830073448,24.349875653345663,24.03266824996636,23.55432736223734,29.544525195706964,26.125470650209436,26.906066138485215,31.2275073860155,30.9813754045402,32.07757793667253,31.298205857765357,35.60329029500062,34.90482326901737,31.042082161934093,35.486529825644695,38.288423151656225,38.78822984985198,40.19787124114785,33.85469915531624,37.244370540951046,40.584875766599005,37.29992260393024,34.738827758575944,39.10619472198695,40.72162246727338,36.37678126627483,37.89029380858022,36.34641658006401,38.08125750849397,35.33496459952474,31.80796858850555,29.263059716713816,26.36304301643143,24.016397412310965,22.216283753341894,21.654738159818418,24.65045737938863,26.030390625444216,28.894978027353872,27.988280434713726,34.22015294907797,32.52439843254364,35.51006669493709,34.107795466394116,34.96255772963982,33.11766250472161,32.67018542679212,30.8653706081616,31.187662035469607,28.065823405184656,26.699293737342312,28.233319824426044,29.413408944426934,28.898292381788792,32.44434777041058,30.138821975285293,33.33125771781457,30.194594617827832,28.540307025214997,23.866483364038324,24.9498312193881,20.70173833588603,23.08134472809443,21.064312045241905,24.11388698115694,23.897683298520892,23.837791379154755,24.234599928915273,23.086705040105443,25.60571246273415,21.73540844807103,25.342989944684838,24.730641092488995,21.555302973364697,20.998775079606432,16.47333044010354,14.68563743628638,10.961301397029233,9.918108700951308,9.49762684695426,9.20317978683965,12.782204769931637,13.735265048493108,18.30677866257018,16.537126930608466,13.805937626258196,10.77026979870316,8.00595396648719,5.46997476993407,4.315360749459716,7.703464381728804,10.749840990938878,13.01643586572897,16.616566362901256,20.33415276804677,21.041863576740553,25.407352257901444,25.172134471429185,25.28263583076952,21.26137767223642,16.76272776667488,16.383728202356803,13.53207922202615,11.628502722724782,13.578230021577161,15.868166770304226,20.147025579418788,18.504170088009644,15.832920072633765,19.04628381966303,17.536905008047153,14.497711116548432,14.282573458038135,14.782615028049442,12.892278238193157,16.10697246151151,16.497976784773517,21.35548625426741,22.911559039893465,22.618298928829155,21.775318755661242,18.695564172200026,19.384540769332503,18.67647002744088,18.63786496604291,17.551880476341204,19.426644176183295,17.455876006360814,22.01804417843573,22.948566615936393,21.066454965914527,23.762793913648093,25.903091767156308,23.8319609070206,19.969792118961166,20.056638415709838,17.595270910110244,20.91416204734354,21.888788893182724,22.797877729783508,24.291027715625276,22.625177819793524,28.034805190972147,27.036049152715574,28.22674406148858,26.1547310005037,23.48635730443705,27.76547803641158,30.111656703439383,27.18573513176479,29.7402007973607,28.360238835788806,32.93365071758008,30.12520086754833,32.347865470598265,32.74397214773936,29.760090516367377,29.38206767170006,27.57234435577789,28.423633296218277,29.466723119721273,25.136508375093367,27.053011552206808,25.555319419020243,23.807348726529373,27.59456952204867,25.90312800065456,21.92857847146207,24.25298580491892,27.219509735991654,23.267673343020203,21.07679611851659,25.8257862940985,27.4284776345244,22.355822004538823,24.29646226270107,27.616142536201874,24.8917220851629,22.856091197794125,27.385024220668114,26.514476024294655,31.582740897167096,31.062576092341693,30.385532801365535,33.669184119864354,37.5106149646878,41.092870473237035,42.10761092896521,41.995706936713376,40.08346053209645,41.23221982774254,37.730147988769836,41.510241892235754,41.256186320685245,35.0586789028894,36.89957443880123,40.71924771837446,37.1656109424355,34.028887508342386,36.268706096213364,37.43088439590497,33.61256696432299,30.655908377887982,28.919463598922015,29.63054365970806,33.00561469438932,32.94348836921419,34.220505674483945,37.157280210797786,33.533404362165605,30.445040061666386,33.48670809231813,33.177864143001536,28.185292659527796,28.604448448476834,31.052391415611083,29.067561316105945,26.92468484120007,31.95001768752424,32.51059514875662,28.66713542607054,30.747846998263245,34.5838013107252,33.42599251189641,35.334092214688354,33.34147862285021,37.05990311571292,36.75084910850998,31.09154218306667,33.604677050687776,36.05009664219289,33.43461830974855,30.791378500820347,36.5809658932935,36.63956206251516,31.299162407214506,32.24576048789172,37.55549499887197,36.469638202904555,32.628248026468135,28.41570628583603,32.73919138073272,29.287834157932274,30.802347850354153,25.470969637264407,24.2586549869809,20.353166503174094,20.624913816003176,20.967241570030996,23.83192256266467,22.79957523871954,23.816614814528585,18.632684283159,20.307622748448136,15.248030962827501,16.780159509636036,19.701725256026524,22.55879702649695,21.031965154130607,16.55298912050397,19.616665247699128,20.748967027250107,15.158400873239849,16.21027705260289,20.993621478331455,22.051916202203117,21.34784510928174,21.77527329030975,24.235941397073212],[22.736022268734214,21.24575111324015,20.252202096995305,15.171269421711559,15.644854007670965,14.343474962480164,12.274529814815352,15.45826219642401,12.64235377855417,10.444450693297409,12.757117178026895,16.79678682737795,14.596492258517571,11.184369975344657,16.247737048670068,17.994062252270783,15.380467598955281,18.98505771959883,20.27246687721193,23.363254385148778,26.1362625356051,30.025753294926464,30.40758089320194,29.51387771826636,27.332552155949305,22.98385775840832,21.524152515229435,17.91964646649983,19.38332773969539,20.24849607092051,22.679334921516524,23.666432154711632,27.15476290706361,29.904216397300303,27.662253534227347,25.086408237918377,25.27115572475266,24.637738449902827,24.458561468800053,30.7582161918245,26.969430490738503,26.97380463520762,31.395545824602042,31.318379274620828,32.10269749890367,31.640672370984134,35.86706240210947,35.30587540267175,31.974012864729012,36.53239107832444,39.25399596611842,39.98207069144287,41.21501406956752,34.98214267716625,38.54017605047811,41.40881684576929,37.78740068007618,35.38211362403427,39.647999486072145,40.91510719473645,36.2061250065683,37.46174592184455,35.80734558774401,37.080091336913156,34.53558728498479,31.250016536907424,27.89226265449652,25.151961272270995,22.05338440155723,20.20941112819777,19.09881296346257,21.62750009243944,23.632769957352945,26.704895482537367,26.471807294278584,32.7773740965444,31.685719398170335,34.873763977329105,33.923527893752855,35.115327952634004,33.852314390986706,33.762271831409656,32.519980613277276,33.174695144273485,29.89342969293013,28.137559849685516,28.906951301447812,30.259066124637666,28.86954762902634,32.31313278722537,29.44954139683914,32.14514327513484,29.041039709428514,27.744262154934308,23.16672722382006,23.83304998272338,19.6383592721166,23.121314785721257,21.714560198021054,25.4083028674848,25.25264366242137,26.225605269108975,26.375286526704773,26.12289903922825,28.906070395575433,25.453010001211588,29.338044523202587,28.943229353377273,25.98455895694534,25.19168559135507,20.813647481852104,18.573487333345916,14.621906726829602,13.21191302492627,11.082867325653265,10.297914872419199,12.702017616041779,13.161010687357184,16.695512691152267,15.219386332146792,11.925260489846215,9.41213380971761,7.045918666395656,6.627911025865892,7.682550838737163,11.607867259755881,15.32500752202058,17.29166296249623,20.98225754816839,24.3621388091248,25.287550086580268,29.61789131587715,29.025273629887014,29.051441218604488,24.925990932894138,20.390159583849705,20.293661238140896,16.772399668704814,14.020732822995846,15.506250827669458,16.41061773204311,20.477073376137795,18.5614823605114,16.58449160237022,20.001354297573858,18.556083578307494,15.920359270572721,16.179835493655617,17.527124859101015,15.68218310665617,19.417921984642046,19.09752766475414,24.081382522734035,25.052089194378922,24.287770101871537,23.808454591538453,20.634972969536456,22.09032374100796,20.737031194454406,21.724825853538924,20.4746617762085,21.31266594623368,19.428105921196035,23.848976013849157,25.13589088353218,23.110870116108728,26.441061518402606,28.370660486716478,26.779334791320817,22.71382136957111,23.17936720762303,20.42277817914471,23.6899020676321,24.638669533224746,25.271007222281288,26.915745728240008,24.641274353067953,30.25473535968561,29.218896970985142,30.854879035733052,28.818187653020104,26.77625433226545,31.056579023263723,33.28153983805627,30.134296096955882,32.02467339295388,30.0888466201887,34.67078714370517,31.633835591302876,34.36843229100257,35.052759683061275,32.32200203841812,32.38770659790327,30.93240851677122,32.09831375600647,33.409275944392995,29.246224303197724,31.401785393272284,30.054471087956962,28.389049170745043,32.233001901368965,30.51973649052625,26.564805991685105,28.861346123957645,31.812934034170524,27.78561564978219,25.507708393977765,30.243031989704686,31.780636578171414,26.51841373882871,28.355307107453847,31.622244405115815,28.705624154354393,26.464049221691738,30.987201737713626,30.294985112827867,35.44480398003659,34.992713387273135,34.58429630168951,37.87270352878173,41.851388854021415,45.355675773524254,46.53834923289758,46.52004728907239,44.67900894665563,45.86514610215892,42.36517097160415,46.14635248987847,45.88310429941612,39.68407142349373,41.51492832469045,45.29335466932697,41.70111314342005,38.56810741037163,40.71415491183487,41.800763955428145,38.00008762319845,34.98075688625012,33.446526232117826,34.15672567793663,37.574105222041105,37.57007211104068,38.76495404816214,41.65711074161423,37.93302047244336,34.984069012672265,37.98453562216003,37.50594209954504,32.554373712164995,33.06455104411371,35.305358676341086,33.164200095413975,31.142315822191982,36.18541632217499,36.51351307459657,32.496680337953414,34.775421115518796,38.6693397268989,37.67185243427091,39.72906648955588,37.851981142508556,41.62306263745631,41.201562083187426,35.56439836336164,38.20182306125767,40.570816078235836,37.87249800965744,35.32545041268647,41.113096279446275,40.999340265455274,35.62095940006597,36.66091225683805,41.90982097885746,40.637004694675475,36.735476039954186,32.4264977917649,36.50115466627265,32.80605061809737,34.48866890193779,29.082956694851337,28.279712415878297,24.28153230909882,24.153420960645995,24.79504499528367,27.58365794760954,26.82635832905952,28.184811816528008,23.14409745664105,24.893849129953256,19.85949804679585,21.364099962678193,24.17667423341365,26.937827160165742,25.112313851573887,20.82220487045265,23.79403822834887,24.537518320623246,18.88477005179929,19.940030632469014,24.557243486892165,25.231771011259365,24.34157600777128,24.50183927061139,26.903204451795364],[23.578691474286632,22.258905883868394,21.0624851241475,16.774269768054552,16.302231727981212,13.793979993563603,10.69262209957405,12.59402063447795,9.299153166737355,5.9853782869572525,8.03425010114733,12.15646411821093,9.860256020755054,6.378712446824422,11.548080765027507,13.280697333475484,11.25037129577462,15.210950898784228,17.5427510055303,20.306866089578246,23.528707281320738,27.47069418812399,28.26776456181933,27.954135397984654,25.476941966985258,21.050453500228226,19.22290084964928,15.166489324516393,15.689714575957307,15.951313497791702,18.199017800686303,18.954146557872285,22.349380805380296,25.282769234954195,23.180862450832134,20.952869460208404,21.04909854328357,21.201086996058212,21.550110192887683,27.939526505389416,24.807249093620726,24.44136366826784,28.821194223618022,29.311331457297765,30.65291226315248,30.666692844827256,34.8485747527099,33.65834982832639,30.49164107981468,35.40920970580759,37.577650586324005,38.14107859486107,39.01033977878065,32.66161343172402,35.81205414066398,38.71536927790163,35.332309141859426,32.475738928888546,36.51011035769961,38.23553140082337,33.38992335817743,34.214712063025765,32.23321616619696,33.9687184600031,31.66851446741232,28.030398945936764,24.89889727115591,21.660043618010103,19.09386774680272,16.687836875403942,16.220397773708036,19.045787674029356,20.31688636187593,23.607710939776542,22.688004536686904,28.968839973533186,27.90096227245872,30.756750929435203,29.911288183339302,31.37897000102878,29.93408724273562,30.26094978312168,28.748468202338408,29.89277483463462,26.948262792630686,24.63667038279349,25.37749753256701,26.17111134754079,24.961874196745427,27.95406243951314,25.190847693115558,27.942037574271055,24.67181429056973,23.120282117190662,18.469680469908088,19.235999923991418,15.006954283725959,18.2431560660069,16.871202671644443,20.785711839468394,20.531668796271106,21.950839033608162,22.11336509972586,22.43378356444647,25.767765464788223,22.7457340690012,26.904213632840115,27.16924981253171,24.570054889787617,23.036135173562233,19.059487638100336,16.31504212494005,12.030956407800213,11.096234179770795,7.738529848777464,8.424065907015924,10.301401260813737,12.344298023160029,15.091204021974978,12.321195928539112,9.582363836883118,6.2757288609719675,6.464323242377779,5.391567483180561,6.158310915441779,11.022155536151358,14.619791133661698,16.241690332170414,19.97246760693174,22.72192585249807,24.70622074302704,28.65374703509229,28.167455721090462,27.36381267441894,23.991250727201376,19.418979694090886,20.580614399611896,16.960206642471263,14.707923689163342,15.088810960007706,16.954950952503772,20.28913124717881,17.503046452186137,15.248261247406658,18.06746385356275,15.64718309737665,13.278252286602402,12.676610140850867,14.156294814303997,12.02767094379135,16.085684227972163,15.374922208478038,20.359265837909074,21.493205614600512,20.111652068495403,19.487050054063015,16.205932801074372,18.107391724254946,16.472427953852296,18.34302704832135,17.80487596223377,18.146163791814356,17.531977843907203,21.541135283053187,23.817968826994537,22.879888722348213,26.058291056096973,28.647626687364944,27.31311338019409,23.270408592888806,23.127234676674583,19.870884814384464,22.155934952682372,22.377414474070903,22.33925741877283,23.53057055180435,20.762202022251596,26.388494734972948,25.867861866316566,27.669698190430978,26.378924956342615,24.260728716778576,29.044128191771524,31.570885832296135,28.543555271712922,30.119092985136703,27.947296782672588,32.93694664379157,30.605533354233494,33.30187758928302,34.35871652719569,31.341430736124494,31.83425823383132,30.46686057553682,31.633697131347045,33.21197790388841,29.244563743217224,31.193272367672424,30.168105903963905,27.853181503700362,31.89093100016459,29.653994476409267,25.952297543842622,29.01645682298567,31.59073984114704,27.430296207589308,26.207156350173,30.742373903422322,31.56248100446485,26.837951651290815,29.191395620157717,32.16273889139205,28.940714671829852,27.457225098657613,32.22192132959649,31.745305451644736,36.44103643632935,36.65304910973716,35.67331041882734,38.69275614858557,42.60877298130952,45.984236512254974,47.05315528806075,46.538411023707305,44.55177735745765,45.39894219927907,41.625628021278665,45.53199609608624,45.75367731377717,39.58991687767846,41.04614349695488,45.2182121216622,41.99744935437844,38.636955689378475,40.66791863893424,42.4032382650868,38.77031747747618,35.30412175024682,33.701098936814944,33.489949855851016,36.81749088868384,36.73437483954672,37.361973199391656,40.08493840186348,36.01949990543006,33.59584816036708,36.68098485226591,35.670329719487825,30.827975954267455,31.979618221431522,33.949628351442904,31.691684035370102,30.269778832723496,35.38321105810508,35.50998233088268,31.744668130606943,34.5093436579147,38.30136833961572,37.54190107406953,39.291006473353065,37.2018000982858,41.13626487258958,41.15841303457198,35.66101654400325,38.09134276928981,40.896502276330914,38.46491185826835,35.83013555011034,41.62743167092776,42.05509157063373,36.82883975750243,37.611104886280046,43.02309554225627,42.20573343199605,38.44194538623148,34.30927686582409,38.77589658004402,35.39056222611817,36.70432717136205,31.38392718379643,29.909393734005086,25.80111241111491,26.52021376431294,26.948095332532848,29.900418710687273,28.710435002129273,29.35301665718058,23.90896154137118,24.93714411007768,19.734863867145837,21.101601448341327,22.86331534055198,25.589632631537146,23.012748451102624,19.455476910224352,22.97669421131486,23.038326875670656,17.265731077518595,19.586535494416527,23.910786569154588,23.898192739376817,22.707121425522622,22.4499275341496,24.744834901561145],[20.880696603459537,20.1545951105704,19.729470095859924,16.04842306883676,16.42984059600849,12.006728062619217,9.499493010929678,10.424749186173909,6.010524440646268,4.878374319334606,6.098753429180087,9.63928861415032,9.88379533494346,7.145673229091956,11.763740169788898,13.784009372603222,13.416841853482389,17.591897832215903,20.875083427771443,23.358621155563913,26.866526445842265,30.81541346555796,31.883144232022325,31.945073987081525,29.346880403701572,24.947526260970236,22.889912058354742,18.626865116689082,18.173555584563385,17.299177580116208,19.0347412504583,19.06061627761369,21.97684202254313,25.5830740558298,23.964853981981506,22.5653247049584,22.23445348478231,23.674146280422093,24.44486493263881,30.69040194717466,28.240515730859535,27.810365459956685,32.075549919789644,32.931762018834654,34.63550156254645,34.80352457453014,38.96082960045428,37.44007940308214,34.231598537943825,39.24966764315005,41.15475682674694,41.534090247253715,42.22328419849354,35.79412200388271,38.52130217729705,41.613994142031125,38.54360891861093,35.28415822632317,39.08635881179811,41.298293909225684,36.41822275427557,36.795883560580386,34.42965045747387,36.62877993511172,34.65470695397368,30.73299644437286,27.74954705715402,24.044642847170625,21.87365921392464,18.696374094276603,18.70101163444645,21.1678548673082,22.05431551886078,25.871138691431028,24.393522179819048,30.5088081894887,29.81253398971602,32.08246544268614,31.52407244337298,33.37678279028391,31.56144531164171,32.31812923747107,30.139594627216592,31.69500531547328,29.26346942319412,26.598698385872886,27.631460824256774,27.536489783974847,26.843730191120375,28.927804638454084,26.319539677226075,28.8162268835593,25.153291515819884,23.00162948050451,18.276794760108924,18.40156102665526,14.050730967034205,17.095392537440215,15.182092093087793,18.27066348355462,19.471535221824404,20.558032103077803,21.908083558368602,22.00784509120558,26.219316574833865,23.037845708618576,26.942668497881897,27.644677324585718,24.747571961995654,22.772000144438888,18.727835581146813,16.879851467042208,12.165845035028083,12.979589686185118,10.263918296778952,12.270289702790137,14.219814274035784,16.886517047156254,19.24305524798288,15.785038900296808,13.522893776271466,10.156508687336979,11.192058554008254,9.379795227293718,8.074687865527915,13.24189132862825,14.837446219865539,17.40383259967077,20.880256808019595,23.820224510110837,26.09672992651901,29.866598471516685,30.054234484317345,28.848104839272192,26.13332978008667,21.641496021910694,22.8130738569434,19.963070797173064,18.374993158565612,18.88910429378066,21.441681172068748,24.727646491611168,21.79124516994291,19.283815136606187,21.70257400201938,18.641062766981815,16.359261781758107,14.538092258974919,15.117193877368623,11.72627469258433,14.886566721206359,12.827716245363264,17.63507008182658,17.723050743165746,16.783092182887373,17.057039670580565,14.55193773620114,16.933551707624193,16.31796830851192,18.641642356993717,19.54117718672261,20.318448503813553,20.70089685728861,24.466402210758506,27.08508412054942,26.613925529406316,29.326123913033662,32.18709260853917,30.517338027602676,26.660390303680742,26.133188499473658,23.020840690321393,24.900848866084218,24.640432342186173,24.21607671647735,24.632590277228346,21.73945629922592,27.114664210904905,27.465089847581403,29.03147251032232,28.53184749374952,25.652630640801654,30.894833156053686,33.76678884046516,31.052308037301955,32.947166378829905,30.97715999840706,36.17829450018541,34.320264216412255,36.72473178367023,37.744684806857954,34.45657487275239,34.75374234942308,33.083967495727826,33.885326153636555,35.156515837585836,30.99733827470243,32.39266315024743,30.96874101412589,28.202970017915206,31.791496294645558,29.035460356322723,25.589966384972513,28.741103030357177,30.729101144556342,26.232685894940428,25.636043595354103,29.797828765053666,29.85970257440171,25.183117256273473,27.748193128330218,30.300061672891715,26.630488169935873,25.530491401408216,30.42183455668209,30.463533984145514,34.70777692904812,35.93078816446924,34.76347247401604,37.41225380826843,41.628130347675345,44.60571074575256,46.07551398451152,45.396010856609045,43.68142212385942,44.60573403970869,40.93317689646751,45.16780967482226,45.40782275065654,39.41027484267058,41.034257794206404,45.462743218604764,42.34710905067368,39.125616509917705,41.50692990851083,43.33502302321611,39.56930748787721,36.54294053603847,34.274467564670395,33.94941157629081,36.995255798841306,36.29681768914835,36.709679603044535,38.910845156103306,34.911652374499056,32.76855014902386,35.22988198881483,33.886971092771354,29.258665282939738,30.376867444960336,31.737518061038745,29.19630151526823,28.069856731327583,33.142548215351006,32.806132006038894,28.9130982164013,32.11171999199244,35.898983409170526,35.565271545061016,37.48335997788537,35.70581773051332,39.86851372898486,39.71510142440993,34.45343159704538,37.275662122093784,40.10762716741707,37.65460882323175,35.50997637527198,41.4104908531191,41.78203956653949,36.75674739640402,37.943025799104554,43.2850996878554,42.42754878736167,38.80250792871503,34.58341143032904,39.27187127873412,35.84101437419783,36.49678266282505,31.21991699311536,29.465569797494126,25.015368588236097,26.385516780062343,27.20763815874342,30.535129670516817,29.54177494265402,29.68744147630638,24.333796229553155,25.465023308744385,20.286011748078376,20.42720179686623,21.810482872811118,23.974900715599073,21.099133507205195,17.850700317530404,20.92591779202231,20.261773470675035,14.727712250134937,17.15811012928928,20.986892940445966,20.387925122735084,19.0520290733201,18.676714141213257,20.948064025724456],[23.951874843671185,23.534292172022823,23.323317683355263,19.800336175561654,20.09711390972419,15.464677353614748,12.791212133953428,12.718347833950112,8.022264885579652,6.076208096284496,4.72568171448744,8.469053179291956,9.42211433409063,5.940737427778069,9.442833824220033,12.114078425399944,12.547619983457553,16.14224572117669,19.66567088080543,22.339052034426217,25.719039762700184,29.88060399856707,30.87194100806245,31.282777120169552,28.89865447752665,24.445328589569872,22.718638359168782,18.461882518236607,17.433737277279644,16.465668469936844,16.83786910813815,17.549717311876794,19.882115757550363,23.383510422730453,22.323357186972252,21.158051891472713,21.402525988702244,23.18369794247401,24.454072403870413,30.741455703745522,28.51813849277426,27.4161386762242,31.597453295970407,32.87661096004819,34.670707163279744,35.276222764275026,39.294858880491304,37.5376709571567,34.78579339633498,39.97463063818275,41.51433326423112,41.93520944887743,42.30532942276269,35.97245599922956,38.518716491294896,41.297788830793564,38.20767980961017,34.8235869839641,38.3495111755683,40.59736625956312,35.472126876680996,35.36961831359304,32.721778014139424,34.89141920675746,33.278742437416334,29.365897346652,26.035964839213438,22.173964039361078,19.93574049214005,16.29745147068715,16.432263959974474,18.52200620501945,19.2728365146169,23.41909617305947,21.942163311982668,27.940158842991632,27.80023147642653,29.881314667237813,29.783722146515967,32.06333778392167,30.550434947987334,31.82228340358106,29.864995638672077,31.90420610635377,29.64037118086323,26.475769047812918,26.972044126043123,26.572610877970355,25.432566558086442,26.96772085139492,24.061242691857263,26.098423589262374,22.330040436146795,20.22069974678604,15.619675942315457,15.23394200492192,10.948471854001102,14.83280986225343,13.5314151520066,17.123021258951464,18.46668466064352,20.596864311611654,21.81431371457178,22.853439036593958,27.41020221138844,24.790228134257955,28.874950379503296,29.98643333376659,27.430825040782018,25.06655245748696,21.422740790043836,19.18615205712142,14.5865776979807,15.279890306621569,11.634097265165856,13.796183598720509,14.693271368460183,17.63717465355023,18.78193951421224,14.932687799359122,12.992323186635804,10.11799801183924,12.537897024602096,11.557078761231342,11.100310407283507,16.17946060695999,18.13645767170557,20.290839109433186,23.745841435278454,26.19015657298489,28.9571427523566,32.51187647315045,32.541195939359305,30.952490362816985,28.540529494122126,24.098856760481777,25.830863808513605,22.655442066995683,20.888553867096515,20.830785339817158,23.04148088376631,25.815907359190074,22.448117211305398,20.29325618237135,22.40495862972948,19.021716651743294,17.27391776729025,15.376418649196456,16.421384177436188,13.210015313629833,16.507058174870444,13.854196908376617,18.344908611457967,17.99102313031964,16.28951832815186,16.864548838559628,14.478509599118631,17.614025468837937,16.485733025397924,19.879169569919586,21.018278255195682,20.932737195855957,21.99493689195162,25.339676115524398,28.54907174038452,28.48256815298817,31.406341290030305,34.40508204352593,33.09334422439194,29.17507150519886,28.606266029522494,25.21144276450157,26.62516535720366,26.026626617532585,25.122022407546993,25.348829670912963,21.893765355104723,27.200610889144308,27.85702179418156,29.73824177468181,29.67824179074447,27.18013804628499,32.55064826196712,35.45484804458958,32.71701408842056,34.06463499588297,31.70085262696339,37.0244677258172,35.423924666213146,38.05399605090638,39.39632048693745,36.148317722376085,36.87050543932416,35.44148098996351,36.4046493497373,37.92681809742754,33.965218674221916,35.40716917603685,34.21977473487372,31.272839429044584,34.956572401422164,32.013685066667605,28.729169797670494,32.140645950490644,33.969146421113706,29.456935298382277,29.2216640774387,33.275116422046814,33.022404130403714,28.562419582705505,31.24157537506213,33.622748403971954,29.79473748126333,28.926191688908276,33.83765269858699,34.03742201124028,38.10357946224108,39.60340582088385,38.34103606076862,40.86987191751609,45.094014212701374,47.96578888377179,49.455015759994886,48.59944790085979,46.858464608525956,47.63410475225397,43.8554058985508,48.115767642358385,48.57969968473074,42.62505216418598,44.05677081675063,48.6170032535734,45.660551647551856,42.3474372734295,44.606095365061755,46.67691360456385,43.00792468987895,39.74878228499773,37.59134606498284,36.87223416201924,39.88319609306361,39.20238531949158,39.30117781658597,41.376372320797024,37.197039838994804,35.417248132797205,37.8749422589624,36.191103094986175,31.72255802430821,33.182299324892305,34.281321180077796,31.64399707662942,30.90245070589919,35.928382767852135,35.368633052419,31.578939381936674,35.06019729946048,38.775987735310785,38.643353690079955,40.471474742770695,38.66900962878337,42.89258621921929,42.89359416457226,37.748030532088904,40.50337079587665,43.47430062640011,41.11407387035093,38.97268507739905,44.84341245230053,45.36748580956288,40.39746808447848,41.497424705780844,46.86895372994784,46.11828393210098,42.52196427072865,38.34002550525628,43.05351941583444,39.63555639598775,40.2563248629049,34.99064173951082,33.187878488280646,28.710953335651144,30.158891216555887,30.99840970009463,34.32124293339278,33.27267047314133,33.33470977058612,27.910766743027235,28.788785280198116,23.620440201649334,23.801717251869654,24.691057259423133,26.751124929592088,23.457758659254715,20.779038288629614,23.949158235930284,22.800885739359238,17.48922277693127,20.333659369939852,23.786351769435555,22.65043724436672,21.12061778200967,20.332704191340003,22.364905667486447],[26.481642502843606,26.09927969256977,26.09317681414611,21.93536151152149,22.65445116738605,18.647089674429726,16.128680330187972,16.756172410582543,12.144438800419723,9.622424868870219,8.444952828067448,12.371720484442669,12.420965986044207,7.834158973434917,10.913366966439844,14.038974373954607,13.727082014696453,16.482549339153994,19.02223699677471,22.43901139574768,25.2467950148376,29.707342978393037,30.160692617648873,30.375867136861142,28.500245120328618,23.92665629809564,22.917985906857744,18.937835377307906,18.463449754804888,18.420629505030547,17.88809128631642,19.880896721672446,21.976201437027253,24.8711705251097,24.036119451521518,22.400170687886266,23.4872712876019,24.444288356890148,25.668267007196683,32.11294060358907,29.33209531879158,27.790269551078197,32.03208906546692,33.215482047688695,34.569980775585165,35.26362960189136,39.207692351610675,37.76944464928732,35.37846923028039,40.5051088579966,42.1708121051526,42.82845755944621,43.20364826799751,37.02837453563068,39.878892106286784,42.2536452834213,38.80604403632633,35.75988461338224,39.295865478392805,41.04594013766791,35.71327027965696,35.596734362688345,33.035948673373824,34.586916696028474,33.04465258398253,29.50977896305124,25.425421892379855,21.95544779631898,18.837763554132216,15.411029417461696,14.738104168877628,16.229005280573986,17.89612613986003,22.139013097191928,21.61335665499196,27.659909916988926,28.010849859056695,30.46000424292523,30.669283907797762,33.04363484931892,32.14400450810873,33.44930573822202,32.15738346055475,34.1549321903486,31.572206861150903,28.427602018813708,28.3052795306498,28.418044308544424,26.421184433781445,28.180167295229804,24.750626720969578,26.320055102293654,22.764960343862768,21.274551058483688,16.960888543509895,16.25646393851382,12.301986976588891,17.286539883600476,16.767575160201396,20.847675106694123,21.77411055313161,24.48268344779111,25.153130830085228,26.576568509305318,30.80624769768342,28.298381491521027,32.51582209144636,33.389124751671076,30.865195624167182,28.763872442464734,24.99935940744479,22.468136522967043,17.95420257014107,17.80359299333847,13.700802416821345,14.848660850990306,15.148926133801952,17.283249761939427,17.71910821449747,14.536669724127055,12.085493074954162,10.052520139426047,12.331048517131617,12.531781827789503,13.22634483513858,18.267611893633056,21.12473521639238,23.110113957201502,26.74062883957962,29.24882473620314,31.710563897095717,35.465973365765805,35.10856508444193,33.83681308150645,30.93700056207227,26.41683004498574,27.88803487140657,24.230449976475942,21.820529950435272,21.8177971513536,22.9561099248346,25.697699160452856,22.415420046316306,20.843719064497773,23.264261380769934,20.375135075464208,18.80263783488898,17.794264803290506,19.485339117793625,16.82487719234213,20.50791013423238,18.157652640496988,22.66782973949858,22.20789565771713,20.395251805285294,20.971837074716294,18.41405504659358,21.56567471054525,19.87629641923961,23.31293962308626,23.685452644767228,23.077690529310093,23.543860088641246,26.966328825649825,30.01213676613127,29.472292837398008,32.8799768181196,35.53287084419195,34.47674654222348,30.390354568668926,30.259673057759418,26.812022320204104,28.5954964687573,28.33012943574763,27.587401150694117,28.264401997360345,24.67196992471173,30.112203751304623,30.337719296452143,32.496665978679005,32.0151103450132,30.09493349923794,35.193265333979916,37.85448166534933,34.87145807466716,35.84317910719258,33.15790538928658,38.30884315963454,36.28073504879992,39.29837957632179,40.72467458919054,37.76649779021376,38.66796062864753,37.47272145872816,38.69685019406451,40.3652934977142,36.43735484107533,38.21727827942451,37.08485454296939,34.47279128945435,38.27978198886356,35.61099960260334,32.13355349910027,35.2883221797267,37.412283233796785,32.943936764741196,32.12964768467275,36.394731707619535,36.54625725276631,31.742588978173764,34.169211603304205,36.74729620468852,33.00568041326991,31.66925773423698,36.50377443913696,36.60874529696019,40.999121984892156,42.10306776160216,41.19638418357237,43.92130021291743,48.19863981944497,51.174706617095495,52.712711573624254,52.103685956030674,50.37516576010863,51.26753263944265,47.533382914810765,51.69668071694718,51.997525112817094,45.94995707942894,47.46793639616935,51.84768939306979,48.70763904455241,45.40838559235528,47.5844039914713,49.4078525973667,45.701174050348726,42.4124211098686,40.520413644631745,40.1246550760611,43.28493906364619,42.812316264915495,43.11505137012393,45.366741604865496,41.21700318143179,39.24543037231487,41.828409987290435,40.318369431415924,35.7581237015035,37.048795663655866,38.29950357374462,35.68469490895313,34.70509418899479,39.75224257769135,39.24875038135524,35.29404245717766,38.614963800524656,42.41538455116062,42.18672146437961,44.171415188530254,42.417406478482896,46.58363216593574,46.416546939103135,41.14241922499698,43.95860530657228,46.76086127185967,44.25643340604568,42.057033243535805,47.948827673787044,48.22609173753854,43.101220797716216,44.24492996712232,49.59355948462553,48.60764157933384,44.878838978742245,40.57716024396434,45.03257153640694,41.384755734273384,42.347892143774786,36.969315787600316,35.61958900735061,31.15902396218218,32.02453083378404,32.988433755410085,36.180558605225414,35.33448919664658,35.89697068345731,30.555902886271177,31.70444731575249,26.48544675217962,27.042902746332878,28.41285635874004,30.623533154639375,27.540969740976735,24.52870221329623,27.607148981775346,26.73752482074279,21.33724373124778,23.66099673950477,27.313450385578193,26.405255759718486,24.95334591609784,24.24843252417377,26.266657929018702],[21.343997747724046,21.43888346000011,22.235460866554682,18.458336207331932,20.285694552773776,15.241117605453171,13.862269282934337,14.571857107984979,9.87873800367427,9.868191768447542,9.424842353441539,12.434759441807344,14.204895023212138,10.843013985756944,14.449375110121615,17.18888491948074,17.435953582511114,20.999796388138652,24.075184775967294,27.066625205079585,30.254451846995362,34.513958073109244,35.26181341849825,35.40150799733401,33.19828306521186,28.66848331912648,27.118431060075892,22.92425336504547,22.319457497407463,21.480439596489585,21.82035814584291,22.506180494777123,24.655431256739448,28.27337149486073,27.36947454422373,26.233406388622072,26.412521477120155,28.079648530546702,29.133060017834833,35.46402626456535,32.95297749657497,32.04545336877098,36.31006741114243,37.34733725853451,38.883277343254036,39.231992903346175,43.32996067988694,41.89036307507231,38.979954437530836,44.030550248774134,45.89093023965152,46.369153010469944,46.93044403483018,40.56880928559357,43.27825273945609,46.12603523208763,42.936692992020525,39.680591220041855,43.31267989277025,45.43010925330575,40.29839171451862,40.285498271470495,37.67091148993771,39.64542103043332,38.0178477579678,34.233326564445896,30.62774878641398,26.92849169250767,24.25577015162202,20.698775806967934,20.36086719664662,21.93724257925844,23.317964634135084,27.626257753254848,26.5885570579143,32.556947508328534,32.69881597781055,34.799377128528135,34.82625431105021,37.1248350180288,35.61596550559542,36.78927394176963,34.730130483712195,36.60237440697348,34.259298853463534,31.31593213911055,31.950350207135617,31.619192413050634,30.490771897211186,31.9744154158577,28.98085114604294,30.744112010320986,26.934350113224685,24.821534324932518,20.356154335497127,19.45911891145081,15.364503095406684,19.37741105422916,17.845159064495206,20.605153383708792,22.888468472052192,24.392996145463716,26.235358843095028,26.630216225241202,31.2242579790707,28.085115567878866,31.84954863636337,32.655773335818196,29.56365974572554,27.55153984656437,23.43252808510238,22.053349771598526,17.313720627518027,18.33054523192082,15.459034209929973,17.150650455959706,18.655346585014808,20.947536833013128,22.549326465303576,19.250095481366756,16.763262102997178,13.951769129062974,15.158438615722185,14.076363321950117,13.131107123529414,18.296148025794963,19.455808655463258,22.48854778628559,25.886672491444592,29.02913905703469,31.14097941386664,34.970536601662104,35.30506798291848,34.148382840082995,31.42316837442703,26.92040194582536,27.740020990852273,24.947377376514158,23.085631548425237,23.821433461038,25.751555289801335,29.09669629018629,26.14329910430757,23.989353757878572,26.518093154587653,23.482015436727412,21.402759148930564,19.678303466939166,20.335890757247345,16.740876566099324,19.42930638558678,16.449662741668643,20.752990802063156,19.354679312490177,18.75232511080027,20.1254936390325,18.338509502831847,21.23304884391423,20.858753020243046,23.669564360365204,24.867582451881855,25.39758802172603,25.87433814735524,29.58965462099509,32.284967270937784,31.60931040587086,34.502122902792344,37.18786096903124,35.48547976231085,31.573817323726406,31.25392370425,28.2042026931886,30.228562803181084,29.968612083451788,29.415044722924186,29.674047882954373,26.51958836926961,31.792422501870398,32.443382943451255,34.10791239301456,33.815071546919526,30.94193056933948,36.244540824001255,39.134642270102965,36.41029389879128,38.189325385103494,36.04670768005943,41.25556768955618,39.28999554405618,41.87468277660539,42.93216191666213,39.72550442323174,40.02435047194033,38.34170007577015,39.11540105754503,40.25724179720035,35.968050807007295,37.25431997920567,35.51566428343053,32.80017861855267,36.03288666775341,33.170889322132105,29.80840053126502,32.613881396447795,34.35249842549611,29.67360673231277,28.938737109394598,32.893859690932466,32.69594517866596,27.712238489381317,30.06847713469917,32.36580407282745,28.40353472929273,27.09051818050055,31.8891781623757,32.38415245272898,36.49944406903563,38.27414176998657,37.421219831529655,39.892715653478014,44.4586857329298,47.10661145416632,49.07314800473108,48.56651000973371,47.19165591987732,48.35643253887399,44.90255783761963,49.31306562888465,49.33844930155727,43.45642002031427,45.36544936603686,49.77443820750094,46.54242372483685,43.52224898249405,46.14256559189571,47.7096306696797,43.77908080158013,41.2037979978659,38.632024383125,38.64377842203524,41.56425067163927,40.509702027112546,40.97457151205048,42.823885559199354,39.00025873998773,36.92798895194713,38.842120489074475,37.400616755421034,32.97989421217912,33.79929414102542,34.65908601979107,31.886462811326332,30.792524326703628,35.72255080942035,34.936539789454656,30.743458864715077,34.14343020348926,37.971534954616516,37.99530523606577,40.295497276619635,38.96802850082265,43.23544369055858,42.64907148694807,37.55429362352895,40.84498795917349,43.4267309125662,40.78161252944933,39.12085214154775,45.084108121489955,45.044582035049764,40.082582400971596,41.74842869960627,46.92734455543564,45.70823365600576,42.08704877259869,37.66039159773049,42.178155880812646,38.418733066229045,38.826367725105776,33.517244831780616,32.13240700780251,27.444269366890374,28.64835316428599,30.044846473105718,33.52630967176472,33.02996455486606,33.355853620077525,28.320308632283858,29.902697376989007,24.809255711299752,24.279303530726157,25.882854002309553,27.58088069184308,24.780037100355347,21.58396426473104,23.878850678890075,22.805065798089682,17.808023545920538,19.407032768188692,22.706828726909926,21.734165408401374,20.406360959494858,19.992590953072558,22.08428360153805],[21.40045636245517,21.39050558231757,21.66923858812661,18.808812523806864,19.575403207307957,13.930313924441073,11.975049609911242,11.206911590005362,6.4258736360395865,7.139939113925971,5.918882696102339,7.829798691372844,10.839285554576913,8.914895275086256,11.805455720889912,14.081970378349453,15.318028571402342,19.163815430299117,23.142874490473062,25.426185965180924,29.03934968835884,33.03109189465573,34.277746311253104,34.8053170964354,32.21982491078815,27.863303393377077,25.808697236606527,21.480629060438147,20.09771683051855,18.386737744592832,19.009257331611835,18.728264120219816,20.81401615576983,24.83500299425592,23.93728625898694,23.36598843228998,22.98870717329827,25.546247385153197,26.866825249530233,32.935819929447206,31.149477069882952,30.33380005956482,34.42107865195759,35.76996201931933,37.797187689086556,38.31801196565239,42.366866842338396,40.45852618757627,37.47989990076561,42.650716308141234,44.13398773220572,44.39061965415571,44.754560510470945,38.35446050317217,40.629468108578386,43.68128999358121,40.87322273343287,37.254998939159016,40.69395426361957,43.301796940747266,38.31380865189154,38.09589683105988,35.312819771796384,37.86054621088035,36.33766910664602,32.237335886444825,29.284909251873902,25.221729048093245,23.4260092789434,19.60168236172682,20.061010556827487,22.059225286969266,22.478263159670515,26.710666629641818,24.78248859485702,30.551704923280578,30.403143830368762,32.055157457772935,31.9533501420263,34.29396858745989,32.357109991991734,33.712791343459315,31.163018363537386,33.285744944600175,31.376499853870293,28.213291558199153,29.1700549602174,28.222769382815933,27.73973227523485,28.77546527735452,26.23241652786145,28.26092891825185,24.3177853877857,21.72319841685742,17.21143325629064,16.53780585891948,12.441934371796169,15.384966462558532,13.377845059426118,15.74728838216359,18.363539882647075,19.724012724067265,21.956893612744494,22.44465485236611,27.451531599658665,24.593621413399855,28.326132686046634,29.6315402176206,26.82083309175096,24.285053493816605,20.629380656337688,19.238245942098903,14.606961992481715,16.396669769693116,13.664640122285231,16.34108897111366,17.762650636143107,20.92107273740869,22.45856849495518,18.440803956961876,16.705029009602526,13.606979449386694,15.640548056787916,13.93799869545451,12.34576118290368,17.27352884774184,17.79606011297094,20.55933656989461,23.72552702248223,26.37099781610772,29.160766272251475,32.58167690922038,33.15289863605515,31.40598717322855,29.416179620840047,25.093118252473243,26.65209822338452,24.134080178378955,22.87963370649745,23.092947447294872,25.9012834720227,28.845787656125236,25.574938942345906,23.096420178852277,25.055316142597412,21.447517324891106,19.56339657230095,16.997890014806398,17.20365573839401,13.283077673236017,15.556261755470405,12.042946131250305,16.15105846191796,14.889345130372702,13.892373930790209,15.267906616998175,13.737743988105692,16.8668975165958,16.823087710723847,20.025693711737635,22.08246448185033,22.640180276889197,24.080611786246678,27.378593782660463,30.556423184733923,30.674505940811255,33.16783817323976,36.30812956674669,34.64592976347077,30.90725641735654,30.077242990283853,26.90748521076985,28.184971371424698,27.378533597175505,26.395843399805745,26.111609720557897,22.87925344911368,27.873597324637995,29.07123138652395,30.61301890146212,30.98231888390733,27.823773786958473,33.40343007223325,36.522325703920366,34.05421725095668,35.833389352425286,33.80313300191424,39.1952616197971,37.86316172068012,40.16460020325815,41.3517707582861,37.89974006176522,38.32354180461817,36.60236992638254,37.236464953323,38.4462393413502,34.33459327559036,35.33666784460384,33.822387659419235,30.623743105175453,33.89108432975563,30.641746548203837,27.593672482536196,30.963848520141255,32.34126649424438,27.674034860586634,27.892629385998195,31.590772850460603,30.800898680828006,26.480106597864996,29.26713266692967,31.29884285064148,27.231518465697313,26.70553672828164,31.613471463675342,32.165320329938986,35.82512537683761,38.02924637923259,36.617175250221464,38.8447502111749,43.228467618761535,45.797566097765994,47.552719617940056,46.59402251627066,45.07162555309178,45.920507637653635,42.272590851395925,46.74003633294658,47.17378515521732,41.392370217813394,42.97142697011928,47.66242101639581,44.78378105973142,41.6217286717459,44.149469245853936,46.23084503617827,42.47946186658267,39.62010724055266,36.967711444855205,36.24734918670894,39.014979422789914,37.86932414787732,37.87060600933263,39.544941301610045,35.51138276041999,33.89153291320497,35.833155353158006,33.98335267223351,29.7219412471459,31.06761463968921,31.721979044187183,28.923589634249883,28.37581753727626,33.29323288527917,32.42329841362646,28.593175000652064,32.32133569925313,35.98581910381978,36.14633678793351,38.07746759703344,36.530041900538436,40.86715885630783,40.72299425421513,35.803876319936045,38.81639352866611,41.761919216417446,39.41026804431267,37.65090540425703,43.534582802028254,44.010524323181656,39.24200518725664,40.62442335577045,45.89224490138693,45.12700190826798,41.67238830478959,37.48839603516788,42.33187038984408,38.95408023526179,39.076356604573995,33.93071264550054,31.90616682715539,27.29621113302994,29.22946629299198,30.28547194502361,33.81743827821659,32.895494793275184,32.57522722591738,27.324213288511828,28.278202337197758,23.264008738716658,22.557739318432187,23.192399729776522,24.77349846846253,21.419889129102494,19.010544817002156,21.703196967751136,20.06633264182002,15.190074434004496,17.981237074355157,20.91553259010094,19.37370241425323,17.79936730393296,16.977405736858195,18.974825012878068],[24.717351679142013,25.24629119544922,26.189092462811885,23.173767063302826,24.54923376598198,18.823383367507237,17.170727659716587,16.317548293016372,11.62729173434023,11.73986196739943,9.394575029195268,10.946656714736847,14.408802273457319,11.743216061442078,13.290597076963047,16.211575611792732,17.956423065085666,20.932664303050714,24.682611716763446,27.39880852894852,30.62699096536716,34.9019372992534,35.841057959246776,36.583711088555,34.42633225171649,29.997691149831883,28.51170285469425,24.31602527349011,22.702078989210158,21.183234980177502,20.09066214894548,20.81432418542131,21.95239828844223,25.70829063926012,25.655184624236618,25.315412640570926,25.69862117253105,28.362777133265748,30.068370806928908,36.191777875939756,34.40321320784539,32.90849469210762,36.92469848013792,38.584633902520245,40.494045634489304,41.36625440604681,45.284743303803246,43.34065535143616,40.842142507337314,46.106716158301886,47.37651784817246,47.74965941799924,47.858277076024876,41.59952285105603,43.80238917840119,46.45636983129921,43.529658048141066,39.91394821207772,43.073746282795234,45.5599125767153,40.28796662279692,39.555289563951,36.49440365124231,38.783422423651494,37.71293919208687,33.79628010509869,30.228850331263974,26.205930669488108,24.03213057708489,19.861888795325605,20.111795207794472,21.181842438983793,21.862817957459384,26.504718468778492,24.98610310511935,30.452822055561857,31.24187689757364,32.683538830190486,33.27207643308924,36.119311826429154,34.658113883188506,36.538782062312116,34.32895787220952,36.86707112031477,35.04225784214526,31.492848302308634,31.815791993171132,30.667565633610394,29.54505480209252,29.90013935859138,26.918862963651218,28.075810097930322,24.079032108255802,21.675624075494706,17.657622303345992,15.886230206160667,12.383659999647103,16.46150896274857,15.365747160193328,17.799542306957445,20.939281676220943,23.236035238632915,25.45004087145423,26.690499083102413,31.922274470972763,29.426796565923997,33.20973777412557,34.71358299301976,32.006129769063264,29.3380565907085,25.821086335086928,24.32350450545001,19.732218829213434,21.239150651594965,17.898293308601865,20.267118893024453,20.9738323001944,23.92125465064284,24.40434243428818,20.45886940559355,18.74256495736193,16.296927572260298,18.857289505821065,17.938163096656435,17.0453158463197,22.12978523358644,22.998728567988046,25.72148487508826,28.93534503739362,31.454767819683255,34.34718699412927,37.74978044548443,38.20782928073717,36.35796812789118,34.38618931846119,30.03057903507028,31.655480176171316,28.845610862526286,27.217058337352157,27.284199574048277,29.459961936262026,32.18375260334087,28.711186441611797,26.673870577359533,28.602887826476522,24.97279040136384,23.46230223688134,21.14560140324006,21.78564454906693,18.08951950101207,20.37607448881569,16.46325128956589,19.95868891247968,17.666579058984652,16.38197930113016,18.484841606739995,17.41886930490991,21.065341892510006,20.696244495783525,24.60073307591676,26.664055396505642,26.56397256541741,28.222532454883563,31.315892584014804,34.79392616816133,34.91852970282412,37.72008948486908,40.79179631197949,39.34822032876793,35.488820379741895,34.82508613870294,31.505728535470585,32.71984860942511,31.825320028061324,30.58139590054009,30.235442921518242,26.582458846566126,31.45464664392466,32.86716900664328,34.68172332544824,35.29082781693749,32.47864479971726,38.08393059918134,41.174202694635184,38.630881589900675,39.980223359233854,37.58909603067805,43.00775925746154,41.68703409095414,44.274268595560514,45.67672674167784,42.33839087834878,43.03204976098498,41.47958569113865,42.24968442715389,43.574085062239284,39.50001496477333,40.566624818423946,39.04754877120423,35.854650624783716,39.05266727430945,35.72886205760005,32.75328907557818,36.04317963649853,37.29903243282651,32.5698872922906,32.76209681427304,36.36364952146947,35.384044712783194,30.987030869807324,33.66354700727116,35.51746316373683,31.278739932269044,30.67888647749517,35.49917995740614,36.32777786173503,39.87802551904396,42.410997186326384,41.17308342549285,43.28532876789297,47.842715807928926,50.2023022267108,52.220939731326254,51.29417342819086,49.92883205381362,50.82954954458515,47.24250321839602,51.781929807314484,52.20820935937038,46.49004694862033,48.11331675461412,52.83118222429532,49.94681771621897,46.827089592262276,49.38112812337649,51.4267106256843,47.63848111876027,44.8407922377803,42.16923836068824,41.46406956689134,44.191234640261044,42.93941258083601,42.83244527184521,44.29540614071246,40.26814993075314,38.85449601867407,40.55428391060016,38.50634266526674,34.451762761861076,35.80098032025247,36.09442972278692,33.162716490674164,32.8060021257322,37.58503402413304,36.377419102948764,32.4731768640342,36.39221388360095,40.020018719114084,40.457406133668115,42.54390878798491,41.21899673005632,45.61194999557028,45.31278288965514,40.53038969086032,43.73039503206788,46.59427356601094,44.17726927583872,42.632846674063366,48.53216687051986,48.84821504370004,44.10531624629256,45.6710334699842,50.88155038386559,49.955801143844894,46.485352066080615,42.193315697314226,46.92246335320939,43.345834923571935,43.41033942443769,38.23108778989249,36.45180979978117,31.733099837943254,33.487932031895355,34.82832401845109,38.40267828014449,37.71064276844202,37.548613280549674,32.394570924343654,33.48620017598818,28.46473658574138,27.638175480488133,28.26335778338971,29.62602734715563,26.187085534440236,24.013371324010066,26.379424318023776,24.418870332912725,19.969592322654115,22.40287312793509,24.909707550811948,22.985750441273485,21.391796806916137,20.383223082380695,22.026199200057214],[23.812220519277645,24.579384611260988,26.039723686859656,22.73018877206351,24.903799966692986,19.26649620318402,18.183484589944538,18.02245377515823,13.326803577169487,13.7341600355121,12.055638701655603,14.042344836812317,17.132573834217347,14.00469220701877,16.19132860060367,19.213736482983084,20.43479768849537,23.447394105610282,26.755264430962256,29.797236425438317,32.8526800294857,37.23904162826277,37.94123357997588,38.431788332381274,36.433932330651295,31.914660105784016,30.6070419757526,26.44422919967925,25.266932708576437,24.08430473680848,23.139543602835452,24.086319715855993,25.34603893767321,29.0044309143605,28.88065229551492,28.29341734141006,28.767102654572955,31.053763038033697,32.55362561203904,38.80699044718726,36.65409410154794,35.25335123185256,39.38105200530053,40.82028234083347,42.479827625856345,43.17559627558876,47.15577402017679,45.48813283171261,42.91252652991015,48.09112364213795,49.625625774309675,50.08809809426384,50.35628501818348,44.07603799476425,46.50495184648798,49.15056234450615,46.055791214617784,42.60986118209853,45.91087862290988,48.18481448392468,42.87656713181792,42.30097843792051,39.34200170292474,41.3714656505302,40.21187136962853,36.43534934626251,32.58868232677027,28.75347064200474,26.143328702924336,22.152455496757806,21.961383216426366,22.789326178176633,24.03387201639206,28.695086915710416,27.634402032002573,33.19214077232694,34.08494820962275,35.731319891790925,36.3327738028532,39.1155452872145,37.76204136343346,39.485713398653736,37.37909095618037,39.72997529540793,37.70426468306186,34.337079049647535,34.66137222510422,33.790819860175304,32.50152150991035,33.10030840021958,29.97062665272546,31.033025986622846,27.103189677243016,24.88838224957427,20.88682620526387,19.06748608267871,15.585826972860461,19.887635791686893,18.749609148632988,21.0460101466558,24.26234153453608,26.26580564213049,28.545261842104114,29.443128937561877,34.53395805752813,31.715783285139942,35.40878320519245,36.622953664240534,33.62207173264208,31.255223980638288,27.405660215559287,26.192980272076756,21.49298102629244,22.879597264958957,19.74336754171384,21.710302839479837,22.694419078695905,25.186954955736727,25.926504515106917,22.38766044587459,20.233479788280924,17.81943085387484,19.74245996342651,18.930333895909367,18.048457445225758,23.21034159105576,24.000174298548927,27.088878766785538,30.35899524967825,33.29003108847188,35.734224531282344,39.37166662633101,39.86690991957014,38.36836996204615,36.03654982551246,31.59302068878479,32.67566203270455,29.924759627588355,28.100263422598935,28.59417116034782,30.4418101345161,33.50182592817021,30.28001796791887,28.308107645327855,30.57623306924289,27.237297646811186,25.502918182804788,23.483186139719574,24.12256801397273,20.36252324739126,22.63543355572922,18.849176574630246,22.450187449876793,19.88727597448649,19.21167878771874,21.453294327617176,20.39476065142841,23.812810489137064,23.59738089593837,27.10778159868206,28.89754458748517,29.05507413414923,30.17625455515442,33.57019496647658,36.69698591849672,36.3515617025375,39.25780863547223,42.080165253590664,40.47283389952907,36.56610540341154,36.14064137090366,32.98030201327513,34.653729066679944,34.06344456277215,33.10728357423585,32.973465237361886,29.47879163679485,34.483101217791024,35.67258564390821,37.43693193396527,37.7078570496993,34.823907458228305,40.32811912680054,43.3465150170064,40.71866441074924,42.25739726034506,39.927654138565714,45.25630473429279,43.58355490053522,46.23665793394226,47.48090620413051,44.225238982120466,44.71021482428546,43.067226177619695,43.80847027282474,44.968774647396785,40.715326859167696,41.814550586955896,40.025647566108326,37.07165972669962,40.09685568965786,36.934620699418645,33.82909608182505,36.71921949000156,38.05739189759204,33.27749746632502,32.99382581140342,36.62292796508032,35.8575929263455,31.079760732397876,33.48971941571599,35.38323006675225,31.150652371623064,30.148922403615188,34.85655454609781,35.77983733418936,39.4675328935136,41.9644339564511,41.0587833639022,43.218434208795614,47.949773897976826,50.24704509419809,52.50906997516313,51.86556723039955,50.68671329745438,51.83828195107926,48.439180687284136,53.011317039238584,53.13590142191879,47.41442477641827,49.321963021502185,53.88716444049803,50.7856333599498,47.8222953430975,50.539781503292936,52.230219884578645,48.2910990690784,45.83859139598588,43.04304246698058,42.841248660725235,45.58875890360602,44.23428456026475,44.42455180426398,45.87482513185668,42.05242889828261,40.363392234934594,41.864171451203276,40.059762429757264,35.95863562510658,36.89260402284967,37.18207246414361,34.221134952842306,33.542579793389756,38.28090643330434,37.029525428805535,32.865500422691206,36.62584635234937,40.33912939013967,40.78439961488177,43.16402536733092,42.08762926479072,46.46507328190344,45.8012534462821,40.98876407439693,44.46869710333354,47.064584928634076,44.452124335676764,43.11936479746645,49.0676713813783,49.00747777369217,44.21916173625715,46.07921286631806,51.17963723049179,49.93726449825808,46.415823587795366,41.97392079828836,46.512846705643895,42.70672267876466,42.77231339563065,37.55753172092024,36.13534240917749,31.347365152894344,32.78865343103664,34.426490016987756,38.02286260074643,37.66361019270998,37.78986630468533,32.85975366610822,34.38514986748077,29.37542829883215,28.364684933793697,29.54159247480704,30.825324963424464,27.754264581957177,25.132079637959468,27.07163448796995,25.34111152657314,20.96577231158707,22.597049557331275,25.140318893189306,23.48293005952675,22.05695954512589,21.345794665162874,23.05529718432076],[19.42319457273593,20.457737308538324,22.274060833891426,19.639915921062563,22.170262196016342,15.977308477782556,15.719434918551698,15.409898692493563,11.288147856376224,13.378632199851959,12.487230363842869,13.678236753599181,17.397165140857155,15.268779108443647,17.974492791430247,20.473007474169457,21.79746545290045,25.46232448327054,29.173295494019104,31.773585251341228,35.207799470167544,39.34990960005384,40.38656117753863,40.80420097689393,38.421105837318386,33.97235581320477,32.132248870994836,27.831819827632156,26.619796625600483,24.932510280666634,25.068521253277964,24.885611168371014,26.460277470749897,30.588207460114944,30.119823790419286,29.774935966000125,29.441654071981944,32.12239475220558,33.408531120813926,39.49187368549705,37.591542369530714,36.78894521732536,40.91723198297089,42.19694558811574,44.05785847935275,44.46011161020286,48.5561130986915,46.83884570547963,43.80367828674941,48.89999783260659,50.56147904133015,50.848429230519066,51.28684121665514,44.87241189016097,47.17712856408399,50.25197812594192,47.40841468955585,43.81281832882172,47.231502412324495,49.81486999078581,44.75792200818782,44.41412963993984,41.520522404672704,43.95018541896413,42.57804649688178,38.564203457435916,35.284612484313605,31.281720749927562,29.117673162720063,25.17510274113746,25.28810768341019,26.637862387284027,27.53502063579773,32.05298713793998,30.474365952831786,36.08551140346151,36.45132141058909,37.936210200163195,38.150787461566594,40.68688428315839,38.77892221541724,40.244482716718935,37.54470541213268,39.68283717193613,37.84426143738721,34.738942174570624,35.73219905038601,34.63207212281044,34.12884542651319,34.782637532795576,32.1310096146643,33.66727136656935,29.639937509216,26.998441107092667,22.803940172990682,21.369654565126062,17.71053482963398,20.85321887763429,18.863770614671196,20.098977203760704,23.95273727740274,24.814769930627435,27.819979987689955,27.828471207281655,33.00107388504697,29.78484221958356,33.06455941071569,34.22389198726099,30.928055818820635,28.643672284747904,24.719222281362246,24.349169299548667,19.760178421175237,21.923242067129337,19.761958627260142,22.085450895227744,23.820469363694865,26.51810308388276,28.166424752565653,24.475173990977375,22.35294701799881,19.38962050406345,20.749629909237125,19.099731815237373,17.209932496356664,22.06393939171137,21.57815986305095,25.180334191138183,28.140127785694812,31.357929821577237,33.59413097795263,37.14868014341023,38.14534900240259,36.68847290105574,34.60866794459388,30.308125897188415,31.061826835420902,29.01365412344634,27.734382039392294,28.587846053469416,31.140999029698698,34.50998650043652,31.501413391613482,29.068401260029876,31.31145731962936,27.893476432214946,25.835748168593724,23.355845781404106,23.233505947941538,19.04167385275636,20.457507145191762,16.49196208546921,19.77921270090461,16.79122564444737,17.204070335168165,19.75345473732351,19.21874069987656,22.1645030578351,22.913338316131902,25.743840967639663,28.065719944124304,29.061655525912023,30.201013053169046,33.71691619225346,36.56932934911912,36.25784709228772,38.67975269333623,41.58072647378038,39.548199449521036,35.86033023065474,35.20300677459491,32.35582347903648,34.057192866702984,33.43887490416061,32.64078145187196,32.21976297277242,29.187550572370935,33.989866072167786,35.40489236999457,36.74411647890652,37.129356739144974,33.58300543000019,39.14281983134185,42.3001169875602,39.921031192270085,42.05704829464451,40.196165892498264,45.5314913923144,43.98793372133042,46.237488411761476,47.204259274457925,43.756719608087224,43.80971391333508,41.831376429107,42.22260708122401,43.01308117385404,38.6082810371459,39.30423435674285,37.18192249662442,34.12747617031794,36.724102689367086,33.4313836792722,30.512692077022326,33.216209519385295,34.21391853703452,29.384437202667872,29.364852859367986,32.66677041594592,31.573308397704864,26.897445721557986,29.332323396971262,30.964089701590737,26.62646053448904,25.867128878026918,30.53144206754569,31.686318781249966,35.04873073366221,38.0310829933283,37.002988231052896,38.93159600142582,43.74640944254172,45.83222079255496,48.268463074933564,47.603249562163434,46.61238989205417,47.872774989004036,44.65047023080926,49.34162001570388,49.3500216380141,43.80052038226791,45.88678664450483,50.47197887458597,47.403057678833086,44.622991934466725,47.58516689127591,49.19125151108138,45.18828582312462,43.17072809401287,39.94844915754865,39.89283578550874,42.42392597435659,40.69679165141172,40.94856545517864,42.12524087860477,38.54784034847379,36.83188860650854,37.89570685527813,36.14804119256471,32.190500834354495,32.84813653354814,32.8885351495961,29.874360068490883,29.176300088010112,33.79246598797862,32.40246593600084,28.18243294343538,31.991635471703507,35.66998901983798,36.260928638897646,38.740077846136934,37.88926680095246,42.29401095369527,41.45920018620699,36.826749483892335,40.50617937181821,43.01109145340973,40.40087311243711,39.39112817828575,45.30418906246992,45.171639666551044,40.57957548601388,42.6733072657299,47.6388358626974,46.38684097238087,43.01370903057145,38.6186856494197,43.2522135184001,39.55335423566521,39.17914461642655,34.12505508155279,32.48780840460919,27.66461998558198,29.540960751054037,31.304653348357377,35.039486827380145,34.773357616164525,34.55959195671016,29.876971010723945,31.513626272033097,26.74410202885788,24.99202420836798,26.13057369036885,27.01901034087541,24.18222011391603,21.602708439609472,22.987576011567125,21.087633546109874,17.196502035869347,18.437720914690075,20.578373760108818,18.841515311086642,17.542095292620374,17.098383732368838,18.86848081668074],[21.52674420479677,23.1918468375076,25.5903831545193,23.515528462898345,26.312581653323086,19.845386335924587,19.911639864965988,19.025697308028896,15.237622167381167,17.54294675243827,16.07761283036888,16.455505561754027,20.96604978158139,19.108527347656512,20.97817941211848,23.515121149996517,25.469506179372473,28.831007917020326,32.73453151782902,35.28757244380686,38.67859125137389,42.85516349542009,43.916847872787145,44.57484530217977,42.27632421899486,37.850697524528385,36.096922452660806,31.80638580753446,30.21375291484058,28.224252821558522,27.63136515962889,27.412447472492396,28.314639980600482,32.509755955412594,32.594196043004985,32.7267972056907,32.456233278394045,35.6477660836578,37.21140622139066,43.18137978825631,41.59827007455971,40.54840341395117,44.56521448472647,46.109985918223245,48.096666674161845,48.69729076391206,52.728295179200835,50.83436834895203,47.96213977321687,53.134917504530534,54.57533334442847,54.813190540789854,55.06020751217397,48.69353437615516,50.74843557830218,53.749685581174525,51.041507964005774,47.27752141664206,50.44907971245752,53.21693345292484,48.08977266478363,47.356946386678075,44.22086979970496,46.76971489250407,45.722417274376966,41.684271675637156,38.354108599562736,34.24865453859511,32.22619254045323,28.036696703151,28.295467886662756,29.202665853467916,29.9257705375053,34.61565942497518,32.93462193980482,38.17028930681952,39.00655369407176,40.07665151261222,40.66218803455439,43.50935027205119,41.612785489744475,43.448006102064504,40.59719037514343,43.0514223455807,41.50815957608015,38.15328179299483,39.03955579002867,37.48235789785787,37.02893856549863,36.98913327628648,34.37535273161764,35.43901790340567,31.357104854574818,28.581945987820692,24.824261138400484,22.80503613521767,19.742275604497753,22.69634625217601,20.90268703706233,21.39493689393726,26.083382031224527,27.05562027986585,30.52355027565339,30.7363595525049,36.2441306110121,33.238098268967576,36.322193900515956,37.77852561784988,34.53023477180257,32.025380409140254,28.37131744226921,28.285456600939398,23.830902407668027,26.291293668780067,24.085471836202295,26.589969586808483,28.0923202217156,30.931692380276743,32.156365756869,28.30363237583457,26.38275837461483,23.5928104743145,25.298464948824304,23.74031257698664,21.837006010113363,26.629171934306576,25.747789124570012,29.411200488451076,32.18822501235308,35.27015620955578,37.68637697657762,41.05004074741477,42.26960054807403,40.57392666283626,38.85081547769323,34.643890490643386,35.512171683286596,33.61346834079233,32.42889843278378,33.18164617250964,35.77000247047793,39.008353522490125,35.85144135746415,33.473792528496936,35.54359306131239,31.92000254308737,30.052144182374096,27.33673479746806,27.093884278476317,22.814013956767468,23.748472744237368,19.303059253526907,21.742194216382988,17.67945413064412,18.355438921603255,21.648488777149495,21.86838936234548,25.020098831143216,26.06373064538364,29.23060444349683,32.046036833105845,32.91156723010141,34.493343937847236,37.794992863818386,40.89745332718331,40.819270580104465,43.16622949631638,46.17207775631969,44.12869602945517,40.4881703436626,39.72293960126665,36.86081191184488,38.32014443275899,37.46268365532268,36.40382583406652,35.6322767767377,32.4694289493784,36.960483593138775,38.83551073012362,40.1502885373786,40.99126722101766,37.32809395826375,43.01280257565795,46.281872278111386,44.037833593534515,46.10708194843592,44.204379665226845,49.61906355624119,48.31830827082506,50.5388218264774,51.58694600850949,48.07020481695618,48.17292760933099,46.16077276077069,46.45272468635507,47.17075997089238,42.7819357576708,43.24165388597391,41.016388358883454,37.7902770746585,40.0793805904568,36.556150469471234,33.94104030747884,36.6125203279231,37.17647556775773,32.34085842032072,32.74234963433641,35.62934499299539,33.982569471608684,29.61671459759807,32.02798074907761,33.19145924699274,28.693778962565315,28.286363653361715,32.72252620673402,34.30425515866601,37.13135435809934,40.843378335704664,39.769404465004165,41.33088399618691,46.262763030875405,47.94283048182843,50.68467364817109,49.907505198751,49.16500236587776,50.441143192308076,47.35547803785209,52.1793763254498,52.2329749841683,46.92117763347129,49.04171173497919,53.7247761026958,50.792107572615166,48.13454666455784,51.22213549744191,52.88774356428703,48.882173094209335,47.096120259332345,43.61470947449175,43.43417546660858,45.743668541560346,43.68109315522756,43.71501349653766,44.446185664706285,40.99123503704659,39.62360439352278,40.179422031375296,38.151197020170294,34.596225170096886,35.25671377640199,34.70139895521767,31.562059374714792,31.25508328710569,35.548017032805134,33.6955666407802,29.583416639219205,33.65036353913528,37.13597152046317,38.16084828436923,40.7142014978814,40.182100568369606,44.63180873778877,43.67424091074525,39.41391949820384,43.27333546842258,45.724851728973384,43.167713695436326,42.54929726220812,48.37772837106419,48.192161017382226,43.847502156481426,46.15504517364987,50.97287790330786,49.693048936438515,46.46948617932119,42.110358668564494,46.72777385021971,43.03855443329224,42.272588055910354,37.40544142808815,35.732747221261754,30.912686381135817,33.019913296916705,34.990590570433504,38.79746460604691,38.6796984210285,38.24928482199457,33.776971316320946,35.38341450773345,30.795256795024216,28.569280710910405,29.342805008753203,29.76413331619986,26.845700076160195,24.835426727396595,25.73462072299496,23.295691096368387,20.26851853454461,21.354196335070085,22.604951983099973,20.292373765726474,19.026773568889553,18.412476747986002,19.684638262875307],[20.660263062738032,22.886814471360832,25.744455773335957,24.815244140917457,27.719305927993172,20.983874241026896,21.761897205214936,20.31456326143062,17.543089752729767,20.809783625893047,19.564040002275263,18.925758322389697,24.01704593807075,23.067588009335132,24.710406511443676,26.809513911406157,29.168643306875534,32.7320360710279,37.02371082777096,39.160117735292815,42.79494670371369,46.75648143682396,48.117112049259916,48.89914586318684,46.348563918924576,42.03698992421714,39.93645055404308,35.606697460124565,33.7411741221775,31.222568375669457,31.002819708886378,29.910614095516618,30.615806517707853,35.107938070882426,35.25311309858912,35.87633649595245,35.025891485497276,38.808785332410665,40.38486499538755,46.051085965842304,44.93776298016719,44.18572910118809,48.07881294825783,49.685763382991745,51.93491430815857,52.46192619842508,56.50554730217485,54.42214338590545,51.33036329636532,56.46528212743517,57.80435191555281,57.85622271570473,58.08408763955092,51.69921151104647,53.4398154921127,56.712283537519234,54.338955659029615,50.35878845083325,53.41653619049566,56.55702728491256,51.629288770113455,50.826631747132886,47.61216903813251,50.56251508778629,49.56012368820533,45.33836202960342,42.4804934483242,38.211277704717176,36.66521065734375,32.407342661015626,32.99442926658217,34.06818258011466,34.38753212324829,39.0136521888226,36.857688620307705,41.85130966028788,42.5187064884527,43.18281914045015,43.66933699289597,46.479503102579514,44.159114203036786,46.01592488986476,42.62477773236678,45.09981519883179,43.951747181057605,40.6707995799579,41.99455526330662,39.967033660671774,40.18442279283032,39.74908772606247,37.59567453140276,38.756157960376285,34.63780705885276,31.512740028226244,27.96612857633089,26.007460089183432,23.256480750123938,25.11425936471008,22.89935273907347,22.031914323921566,27.52062842730238,27.61424222544101,31.84899966419869,31.515042565717014,37.182469390336074,34.13522241837655,36.671061219918236,38.317823540847705,35.00457632787698,32.420728272542355,29.09978099808023,29.827780243618545,25.7620983551698,28.88981851058145,27.375780178814825,30.209249693015988,32.00540683391159,35.09127893211503,36.64246740690891,32.58343824506928,30.874840137365663,27.87056591463855,29.471255863906308,27.453065232756284,24.962677402932776,29.306623539333387,27.285690087299034,31.160383386804007,33.471676744691315,36.517059016329696,38.930297394976904,41.97285674078563,43.721926945301306,41.8533056339761,40.679655530510004,36.75129403869294,37.54042299452459,36.29444542845141,35.62759978132323,36.475248468353904,39.61150774994861,42.89210434623433,39.78809955059921,37.13519225801165,38.99585949757875,35.207889067031225,33.2967436358092,30.142672971599204,29.278282427644854,24.828609917924215,24.72922237282218,20.09214625979588,21.418736481774094,16.468754223992992,18.252405041822502,22.067481756658754,23.22439643847593,25.981507846869636,27.91196933759902,30.700610380370406,34.2076955206182,35.55949223299191,37.48341737942281,40.632939905172705,43.70089847614138,43.88905183573119,45.7689089579967,48.92004617424507,46.602995281599576,43.22005383138585,42.1692265843113,39.54940459024519,40.75928621845817,39.685908020582815,38.55281419269968,37.3092568805502,34.48287350059486,38.4797780591725,40.83108997467479,41.772916478622065,43.04832905790077,38.86676110791631,44.59056687143644,48.01135476754461,46.10448751671437,48.537010224466314,46.98642561533025,52.413398136428256,51.45198981921852,53.30386738602956,54.20976348232459,50.51456126881505,50.351313835284934,48.09546995703911,48.043511362890875,48.44107938963651,44.050399660958476,44.00071704297494,41.534282471333135,38.109889033372184,39.80357461275255,36.03373734801699,33.90937812616277,36.431598546325525,36.33560770787662,31.59577149750482,32.670012078224445,34.87028499416282,32.473050081169525,28.69914300655915,31.11832679398546,31.624281027901066,27.03551769720274,27.294179606936794,31.399974443241582,33.449674422057626,35.44681991745615,40.096118100323636,38.79362501669595,39.820269247895595,44.78518843920847,45.95944775232916,48.98332162734034,48.02555635564235,47.59765933044224,48.89699905520934,46.06351525294347,51.021600029409264,51.08781735641116,46.17465476281914,48.37034516095989,53.12437544543443,50.41366313306077,47.99677186356987,51.30038380594835,53.00993869127532,49.03938917470757,47.71754583825253,43.78104942095398,43.50924387824185,45.42861932561443,42.85289679737718,42.70226932333048,42.83940444330572,39.710050780957665,38.67798259144688,38.48698427380166,36.266822949044005,33.25788555635373,33.75802515562398,32.50293286990398,29.297485559293044,29.399145327488313,33.21061320675634,30.889675828986697,27.000938486326287,31.280116236331324,34.471056903066106,35.968587521836795,38.539528129759944,38.40709831685715,42.846717225501514,41.75830478115908,38.03642042271426,42.062015159833884,44.42980585012053,42.01402909337624,41.92427056774587,47.55311421170717,47.3778078165727,43.46737926332606,46.00978817001774,50.56829334383538,49.37000316775136,46.442609257230416,42.266586152303425,46.9341173737542,43.47151918293713,42.06523755559979,37.58176012682166,35.62807844639756,30.943324644140738,33.61563369161207,35.690480473089366,39.56607265131251,39.533724001072585,38.59595149949794,34.52835290713027,36.04916976568389,31.91407978596701,28.87125728257409,29.170660328248015,28.88801219814838,26.150125658954657,24.821307097452582,24.915155474956215,21.93902788232594,20.247858419328626,21.00084678390415,21.0385475131134,18.186827543802618,17.142993708811254,16.63748924688751,17.391746396174675],[20.98247051518384,23.499359216563015,26.94732694701366,25.564119988223247,29.283242641673915,22.876252764836032,24.00557683722887,23.346145088093852,20.273229438592633,23.261944705716648,22.230362350911047,22.348531314287037,26.989468090714208,25.33009076336807,27.40922949088295,29.830615285400665,31.74064591233943,35.253053344205206,39.12251945790337,41.67839257340279,45.1034859094154,49.2602835593491,50.32350109081783,50.87637471864966,48.54930391373775,44.108753579027145,42.275757823382726,37.964550658834526,36.4862447048494,34.38825195295411,34.03245250661623,33.489388668561304,34.314577595827295,38.64191159610568,38.76839505367878,39.047484288743725,38.51065920866589,41.833142001896434,43.27367673530229,49.176496995389535,47.609391724373964,46.8046365314964,50.84460295702791,52.27238713638826,54.23158810445524,54.64353709943125,58.74060461443642,56.94877757496144,53.86653997364559,58.950096508718325,60.55034027318299,60.738079080752016,61.10335734948519,54.68790979962046,56.718431195106625,59.898203774899294,57.264528500241376,53.473357397071574,56.68408796871109,59.54188923143903,54.48238507642188,53.791023349687585,50.64474928650046,53.25624719317837,52.19710121549735,48.13353103012099,44.84565298192634,40.74306813177104,38.68377399369382,34.519539305894625,34.69015607428064,35.48045062204152,36.342343885510324,41.0591830920133,39.41142140738554,44.566654189811814,45.44895320464581,46.39433159244434,46.979649266598265,49.805171536331706,47.72429585349983,49.48821940828959,46.356027164240196,48.69934476298372,47.25771110014288,44.06874440362223,45.223777204287934,43.54870651589061,43.36909719616351,43.20790759555481,40.73171935993014,41.72964704892504,37.63759489610112,34.76417125611154,31.133839348644106,29.031213428997244,26.136599944497085,28.730266892188,26.710937638318196,26.36829911162863,31.58035947169,31.83534967556134,35.83281248656419,35.44208048562145,40.93072120136688,37.62750252244202,40.223488097773924,41.53437123820113,37.97215553264629,35.72707784452938,32.03685205073514,32.78306302375564,28.536395014158998,31.32541332797905,29.718916371971194,32.141692158186444,34.02402314867683,36.68753279842779,38.29151630129068,34.578596551676576,32.49288545226175,29.601046846425728,30.806582713322285,29.037895753741715,26.76967842926335,31.25214985262409,29.483814599519548,33.5973105429131,36.06266184051882,39.48693767952483,41.4535430334138,44.78949058627768,46.43886938692893,44.95699425520144,43.30210725920765,39.2320354709594,39.52406679005195,38.180582278681435,37.2031735448689,38.390829423360486,41.06886448866258,44.614280934739185,41.69684630562169,39.19223415514832,41.39310339470119,37.86823523595684,35.805452090332544,33.02208758813487,32.39263432833707,27.96878736636161,28.237592362421573,23.838832783449217,25.618540075326433,20.90302509881937,22.687807327754363,26.33718316201588,27.11445787461477,29.861675774408873,31.55230533640839,34.199923864271405,37.2513832884309,38.63103752387655,40.02556931630712,43.47296873220879,46.26806310063619,45.961065122350554,48.065031071537966,50.93433912181737,48.53285438227933,45.053994055646854,44.30799154269042,41.77757271871834,43.46423950739132,42.716068575472036,41.83863178681182,40.919488094839295,38.079520194070135,42.363740346743214,44.39193686884623,45.4225046457329,46.28497533323538,42.20212925423773,47.82223840752766,51.13330269139211,49.054800029633064,51.547096721854444,49.93061415577761,55.29059865905825,53.91716278423905,55.94046537275417,56.742427835308035,53.17435035151282,52.887336176262224,50.610061199445035,50.61382543600521,50.91662655550394,46.36160428959419,46.455291812913345,43.760953356239426,40.66798284377968,42.26764926545423,38.769216852851834,36.43181480200912,38.49010255203698,38.59838322536164,33.85678474273513,34.23149198613737,36.519449853643266,34.53178273501032,30.262220136849315,32.27003660057833,32.87424811680628,28.397071088182482,28.021380548199122,31.893149485479054,34.02980393819777,36.24200658725764,40.726828295343005,39.91687882244156,41.04120605054654,46.188497994542324,47.30651801342677,50.613477046588606,50.0580734111734,49.83729473137635,51.43446615070645,48.815327083277325,53.753112400509565,53.45355834256186,48.5164004422831,51.0189833610263,55.55117205543319,52.56514601389104,50.310468964330894,53.74169944044112,55.02407483866045,50.89649576700053,49.90130452045546,45.935082522368106,46.24625857841459,48.249658682344574,45.672466948670824,45.89184548024439,46.11859062907335,43.19120572181806,41.8024223244946,41.51708149756887,39.643125439555504,36.528039386411066,36.56668580394645,35.43777744475014,32.27407589479139,31.906500756993488,35.64748496643401,33.36589405434696,29.188150743418937,33.124475146793486,36.40120750465733,37.845239251206756,40.771527574970584,40.91223831117565,45.27965451427966,43.74767314299301,39.972359354318314,44.283373032464844,46.297807206902206,43.63689840834342,43.75397192845426,49.417181105891935,48.760922822379726,44.77902552729266,47.638429472646806,52.05734082716189,50.45233026033735,47.450548681443564,43.100812630018396,47.4676235640298,43.71213333035571,42.369644917838556,37.86353920612085,36.44241773427072,31.730770162756926,33.8930691124293,36.31642161484332,40.16098230424687,40.53437172230946,40.02736312912549,36.21284046572774,38.213902244325354,34.04884214578277,31.021570015860924,32.016130523514306,31.799203833892108,29.482725420847338,27.55380257135222,27.31965717638762,24.812621841399682,22.992373688120487,22.850691813330805,23.090955985154434,20.803356699531186,19.97549340834407,19.796438998485897,20.683121888780807],[22.919270480197575,25.76022181719236,29.422604259607077,28.706959796002693,32.37693472480458,25.871036054685646,27.216943796634915,26.13602896945094,23.499737809116574,26.780667251555187,25.61950570443698,25.16738906311336,30.195001899637205,28.9575051877328,30.668145500990985,32.91990630996674,35.20006699023152,38.675964496299834,42.785588389027325,45.1363329673492,48.64990110761912,52.72192011264759,53.93153337066025,54.6453065258903,52.235644082165834,47.85624932730415,45.90637537917734,41.58180074251064,39.839322384706975,37.42899387989636,36.959311861284704,36.06943799862538,36.56785278779071,40.99075659111063,41.34507737598749,41.996857349293734,41.26024200544398,45.00177534106518,46.560663757755826,52.281941336675075,51.04904421077803,50.25919234303065,54.195231006177494,55.76618091203574,57.89820584438635,58.37519674617242,62.44702808673473,60.48506927934798,57.38870990781271,62.49324647099928,63.939306890893874,64.0270589356492,64.29286790792749,57.89821953901261,59.683408851885396,62.93820467380559,60.509974599370615,56.55863872348495,59.61034884760576,62.70262299538672,57.70681928482341,56.82732167036332,53.5573507179742,56.389215674086635,55.48071609168086,51.331919066661015,48.240956907492006,44.03416545197475,42.247495319175414,37.972331508402974,38.350056524459596,39.0796158179692,39.677223302711575,44.40635475878828,42.50784794647055,47.39834802380119,48.37528726509488,48.9843068853266,49.66622635301906,52.58789078906609,50.344426965656496,52.26240828832395,48.8676757146017,51.34469964140753,50.190542697330756,46.93251225161681,48.21099215341104,46.17060559598329,46.282602241278056,45.694254374415394,43.44015198590303,44.303089057654326,40.20686404678902,37.16856729783411,33.812412386198595,31.574709866101806,29.02772846015262,31.10745624671652,29.04191996566892,27.975696897210934,33.65330382344565,33.6371152134753,38.02664138945966,37.537706719594276,43.16859893967941,39.98660234060561,42.28262386363839,43.79797415500925,40.29092561886472,37.926579010188746,34.53678143793013,35.632521965021006,31.606955030693225,34.71303270416159,33.30167612859096,35.935798857416636,37.817193755114886,40.66769312093585,42.2243995059932,38.3400769690941,36.43302087108812,33.510033730232266,34.860305680547114,32.94996979324168,30.487424060170834,34.79753592376712,32.54086427986516,36.67183056659182,38.88435683266,42.17677134321305,44.24634981495505,47.341812088267304,49.269037975377884,47.599590965517585,46.332521056035866,42.42294064235691,42.7910860741656,41.72930910347877,40.99069468263176,42.12471127743024,45.0520198156956,48.534135362354554,45.55077484599502,42.95613717437209,44.98650588379129,41.30492955022757,39.31472657394193,36.27685789526309,35.395135747425975,30.923871972964534,30.685265874587895,26.14148840654392,27.18700972390573,21.98379865622638,24.134433080299704,28.094761926823313,29.439133126214642,32.085632281101205,34.15685641640506,36.792564592221865,40.272103261952886,41.751906660130096,43.47507285407249,46.75536084219083,49.6603286546445,49.58995241877288,51.47822549085287,54.46722340169433,51.97949017200478,48.62432919123399,47.705843500805514,45.24396603164014,46.69837589278166,45.753625402327636,44.72898355219696,43.48979565870695,40.7330923082756,44.674062868308766,47.06417124550626,47.942000271986984,49.17055885661617,44.87236979994132,50.537946184397335,53.94638994067196,52.06454626464947,54.6471862212197,53.14684993481199,58.54402919933231,57.43002583019155,59.29308564487262,60.08664321817906,56.417421916003676,56.06945718718556,53.6990902964371,53.533874537871014,53.698819029060836,49.18896557970209,48.98751598761309,46.205138021997755,42.96665799344866,44.20930065914452,40.54288228390952,38.56402558725338,40.56813489844932,40.221729004877744,35.5995483456564,36.454641699156724,38.25889680739068,35.73879157171417,31.97952590808276,33.96230257340109,34.06697748802219,29.602850312332624,29.711655052804904,33.24700202324063,35.713269905680534,37.26749270881828,42.41582142377202,41.46608689407658,42.173502989323154,47.30297276887036,47.99976582476929,51.51791497649303,50.81452384964532,50.83392002174378,52.41240381646292,49.97431538443314,54.98042477737805,54.73476235058346,50.115140701078715,52.6167639156087,57.20135085288348,54.40953965531747,52.30804544239202,55.8414835392741,57.1953202147816,53.123289450358804,52.38095086932279,48.166447618294804,48.33541886296516,50.07057353367523,47.17272641558543,47.19364182522639,46.97225542387152,44.25823747761235,43.198453175410805,42.39919610285382,40.3317610001736,37.680672657830016,37.686290276474935,36.01872894407699,32.8494213013952,32.8623989786051,36.16121540970943,33.50866975793237,29.620847929228084,33.667742400071035,36.6354747184207,38.46935919510311,41.36500876066946,41.80597079556186,46.12848253691881,44.531450713205,41.21671472485277,45.59357025683361,47.54835404939453,45.02184001049349,45.51011450420821,50.99024592564569,50.3577587210974,46.71120388947703,49.70062037537881,53.92205448172208,52.385818732305886,49.603970982245215,45.4030217081766,49.764401222177604,46.16835905944451,44.40971607206474,40.203699567215466,38.631023893942086,34.06290119521463,36.5412542296356,39.01211168437954,42.86659130391116,43.28594496437745,42.46364018543264,38.89844081799005,40.78396471720428,36.88969927261792,33.452932841292125,34.0570185215668,33.39824346643304,31.137823063732803,29.765116536236714,29.101691481355726,26.235540494983894,25.27589538492618,25.068682340116585,24.495382150625773,21.84528520319856,21.132256690480535,20.910794919398604,21.336409515382893],[24.153825943907368,27.295451441709258,31.461248748518802,30.777443699559264,35.026264951568564,28.840159983530253,30.597256274203147,29.957371719297175,27.386121251208145,30.677734175714118,29.742837013420772,29.591032954766014,34.41002319908543,32.90455889588732,34.9029590807681,37.26438643988634,39.29211474024475,42.80389618888287,46.69281808863369,49.24125933644671,52.667445581801815,56.8220064636626,57.8870909673925,58.44039285785642,56.126024216509876,51.684169770247244,49.83273766330041,45.51650420869464,44.01118807714933,41.781327054630935,41.36674094853157,40.63592054650696,41.21818668731479,45.60214062773077,45.919106552383475,46.421662393388964,45.74558372357591,49.2791698790967,50.71743108022644,56.533516475707785,55.06981913222011,54.35047103600842,58.369583844176056,59.79776965759805,61.770973703436866,62.114682458450574,66.23510668186219,64.4635879875939,61.2919847972724,66.33080150099211,67.97441342661837,68.11264763576713,68.49933255187184,62.07288961962876,64.00522176738451,67.27939793919136,64.7425810073188,60.88458766365709,64.03945388321003,67.01344948122443,61.98168609388625,61.19551454353954,57.97169889056413,60.65279049729688,59.69057167171482,55.61076014164328,52.33261383959987,48.213271025750636,46.16772009440343,41.96431147616135,42.11483443849991,42.70609146785827,43.60593706735776,48.36918867122997,46.72668944954498,51.69498019718665,52.75512097383152,53.488428087064605,54.19054974144931,57.091822770788205,54.901032948453704,56.72678464817158,53.374396181589944,55.729122213077005,54.450106581377085,51.30731802832509,52.598771084194475,50.7181644936663,50.72548475702493,50.27822047681542,47.91115452910038,48.71346844952765,44.62976427975264,41.68840730787813,38.29337396625241,36.01153349683639,33.395625282424845,35.72405307457032,33.6675059338493,32.67458134772056,38.30242417386264,38.14654473971121,42.54218032179431,41.83190055516985,47.332959980304274,43.93563029616107,46.10144297853403,47.38060233639513,43.67301644953715,41.585742444091196,38.030158041708965,39.36564748140287,35.34337553214176,38.35369470571819,37.08366278914243,39.486827437382516,41.52203430123642,44.10622748424879,45.821355787074054,42.15768585040547,40.02620122036445,37.12942503354231,38.134323383084826,36.28702374125347,33.84551091652708,38.084109947886176,35.71669396958467,40.04693631074641,42.22064161641889,45.78575856543439,47.46888080120572,50.68462587903839,52.69027971596237,51.30129201036655,49.813548471565575,45.89885001016484,45.83332326100886,44.9105522421215,44.09463462640495,45.52403006553511,48.24854794767609,51.94749813220269,49.14848586763943,46.58824060677439,48.82226706059594,45.31317844580258,43.1884411182734,40.32099766115153,39.443557303106765,34.96787130043445,34.736256552925596,30.3685586629534,31.48538965129421,26.34424894718302,28.733039942248887,32.641581973477386,33.90988898737389,36.42111019335514,38.54273261670392,40.936060815540614,44.2351455333583,45.8903366164331,47.2793318643811,50.75011221141185,53.40395960311573,53.0091414693141,54.91876948086905,57.70660738423527,55.06436129435462,51.73479076768071,50.97935419399619,48.684384636207945,50.44574962695184,49.70670150885804,48.87857399166653,47.76936853400486,45.11906356884834,49.14731537022352,51.40018241790731,52.228025869016435,53.23631317850794,48.86587774747687,54.435588660536844,57.78914736556307,55.878665475256774,58.63175142809994,57.20175252502384,62.53593386696682,61.18603094171466,63.06098081835141,63.71142309639894,60.09884639677487,59.55216090071362,57.08858151309584,56.85493154027856,56.827894860513496,52.20474630672717,51.95542248321479,48.920465206468904,45.93013295402873,46.88102039847727,43.40966810668846,41.43612972380187,42.97073040470745,42.579969509308484,38.06805985997085,38.54176792284094,40.14595542637316,37.76871445186895,33.88029715936628,35.4557612583465,35.397228702743696,31.1343056222213,30.93141334753687,34.006320337028875,36.67106743844747,38.05199127793762,43.31666724406262,42.74414650110973,43.32105879932373,48.55101130031,48.98637819307456,52.83448635724066,52.445698359215804,52.77295099632167,54.61658866091199,52.487686549932114,57.477454869915334,56.906880325871555,52.453294158545766,55.231925654865336,59.60616969059292,56.66970261332433,54.81652594948917,58.51315430404342,59.49132706942181,55.3258027117769,55.04197470479261,50.67935668488276,51.32096555342618,52.98291066152826,49.93506563837942,50.220479992241756,49.88111085684322,47.48262401155449,46.23051771099354,45.1096624891631,43.31349756769956,40.78124540577026,40.336725040422564,38.57616066439475,35.48735394023972,35.228579066860014,38.22360731192423,35.500113207554165,31.54442138685529,35.24119161229052,38.10260434058212,40.028146363777516,43.202363749155865,44.02810331537843,48.22087615548311,46.19270423128101,43.08114602187947,47.709452543980895,49.28936635354316,46.62760227023191,47.488890895507375,52.86212754984526,51.80347221174469,48.30210824836217,51.62486895450852,55.58099018968305,53.7210860238039,51.01806882296383,46.78718398757378,50.83677371492519,47.11430643051202,45.19106839824959,41.192306558180775,40.01773963290383,35.581243329820225,37.76491411426338,40.52286254798312,44.30694699815613,45.102930788545585,44.483367072780204,41.323963091926814,43.55485182096361,39.82996046672569,36.20785201857626,37.21675842410207,36.40994602879604,34.583532368315744,32.95584744672967,31.812744300130234,29.238720608578422,28.575495696258784,27.609350058291856,26.846255645847215,24.584840665524712,24.105954626847453,24.152736298013032,24.527903470650372],[25.033595721362545,28.250041595529282,32.32515571534077,32.23418146338022,36.170385754345695,29.842913323262803,31.649384692351795,30.550921074050557,28.382781224332295,31.949397968084988,30.935112612907417,30.250561802557478,35.37184556980509,34.35518096458614,36.06157247284246,38.193264669007775,40.547314075777024,44.091339741161455,48.273471202528945,50.53453182660847,54.107567268745335,58.12427275410479,59.40264150530492,60.11973559494385,57.648275852463684,53.291700579059054,51.24492518370642,46.91123102226424,45.1383805481112,42.582240268306506,42.23401646686881,41.06786404989176,41.45858475322179,45.9515443031826,46.36485473282294,47.19562670512538,46.24960687346469,50.1758268471296,51.70178963308741,57.302584877658354,56.20742357734854,55.564519762972125,59.46834023946971,61.0234520212869,63.21265976584926,63.610045344412335,67.70354684418156,65.72613607983105,62.5076992595342,67.56343654297463,69.03143840884202,69.04911277752834,69.34519527963819,62.94353256069352,64.61979762018699,67.99864439012048,65.69875474754313,61.68174153834729,64.69528483529713,67.92122839858172,63.00330830483092,62.09764535162383,58.79535707740859,61.74818245424649,60.868835359375,56.671981013994866,53.70119630367545,49.45974396047031,47.76740334320848,43.47779050349778,43.89640222040198,44.601378667883694,45.155049295083344,49.88358286071411,47.893763951809,52.66592621584552,53.65048338377668,54.09122063127418,54.773271447854775,57.68937229510897,55.285721658052665,57.19727974660362,53.57328846336492,56.01652099015973,55.02232639683712,51.84726316497859,53.31388506614083,51.10431968642179,51.46971540143837,50.707395913373155,48.61973751009593,49.44556061246349,45.35844900641254,42.2295297305912,39.00842009696076,36.74965370589701,34.352404783698276,36.10139394555952,33.929087732442994,32.325566973051224,38.24872802888161,37.791600996436436,42.489744297355216,41.66930025204797,47.258505784294236,44.01118580703649,45.91950441516166,47.4158812136915,43.828609047578595,41.58873718636426,38.36128783758784,39.94723096637085,36.154275794447706,39.47170027688988,38.40287669411123,41.06448009635197,43.112685938417215,45.952863260161045,47.68574549379062,43.80017816849662,41.88826885472647,38.90279271180537,40.08652422298922,38.03583066226215,35.37293858600488,39.43716960313709,36.648579875955974,40.91200133584124,42.84922848363276,46.20790125660961,48.074008280484186,51.01959623718569,53.25599102382977,51.63507659755329,50.567734228750794,46.82453962031592,46.95008227606481,46.27405290415041,45.73872182426543,47.03894898342148,50.10697350556435,53.695858482879885,50.81017116901139,48.11939108074361,50.13817946201726,46.458689917423754,44.40876790927672,41.26736419619572,40.13190027692669,35.6387933582574,34.95397789030543,30.506306368668483,31.015533803151346,25.628928121328872,28.26942870176892,32.3294704055199,34.04407987296085,36.42036920889447,38.87547402644038,41.22358405923784,44.922262990466564,46.677760233105566,48.41916396354831,51.69237707246004,54.47193095136332,54.38883709792913,56.05513516769646,59.01308439163888,56.325351785628136,53.12548427112441,52.14721122499551,49.890235960427326,51.35085046393448,50.39118519193541,49.4119776312902,47.9978310410829,45.45913601789962,49.14984152552841,51.719980244620146,52.38833588688428,53.74970861784296,49.19214711123026,54.79376582558987,58.23761220106724,56.53125491219404,59.355400290133794,58.05847154706342,63.421851891209464,62.381506751267864,64.06625834992954,64.72562943897917,61.001663650094386,60.429453378481924,57.89924257564857,57.51815744125038,57.41274359037894,52.88225961082182,52.37290536839635,49.353709004598635,46.16991999959941,46.88815800817913,43.235131784733966,41.59048946095766,43.22137616639436,42.44638733692029,38.04763547761418,39.079624659638085,40.31138683586103,37.43866563169527,34.097485164487715,35.79137926500655,35.3539541900143,31.092131322791392,31.4507338393158,34.373670506398625,37.214679582212945,38.05001239931218,43.81866708075142,42.957903201993794,43.20398290065941,48.33199085269043,48.491317870197,52.36712211979207,51.727790243963824,52.152975469126865,53.87615803889954,51.818532654304434,56.843265239849394,56.43235969558334,52.229859984230025,54.899038985741456,59.36798667791238,56.67139804468295,54.879895420179835,58.59804997177116,59.768899127201024,55.70746446657744,55.49669041772958,50.9771442320074,51.33378095173832,52.768718413554986,49.50312638198786,49.53847865091252,48.852529702514424,46.57220561456012,45.65825604404479,44.20036345983999,42.186704119923085,40.03708702406725,39.695907370653885,37.53016903053052,34.457733823196506,34.60417765458048,37.27822004393604,34.30045272214766,30.684628328897933,34.53376166008823,37.12222721521104,39.33160688002126,42.34409803359637,43.290515039258516,47.45081789436819,45.53577886861818,42.78505763686042,47.33996353375469,48.99233142582054,46.52439002084502,47.57030794598979,52.78238285636469,51.9207963657208,48.69261648523846,51.980615074174004,55.837425191898674,54.18620613441819,51.671456081903706,47.62079675023526,51.779815735334616,48.29504832438226,46.06225405791142,42.28663780782409,40.799196917636436,36.48484276345608,39.073785330756536,41.71986073372155,45.51758409758529,46.18715204066725,45.192908516445186,42.129448573031276,44.11739565061359,40.60817118296599,36.71189681800965,37.246007421417964,36.116760846091765,34.250925697520174,33.172942818110734,31.83137266149103,28.921669275204348,28.888267458634783,28.123473012312644,26.77083826469267,24.15706585641981,23.724539711857943,23.70660583851752,23.751104446515065],[22.920454224653128,26.235472400238663,30.360767391588002,30.885158428380304,34.755585001131685,28.581714443695905,30.742507657950046,29.60118718764834,28.009850881891616,31.957851109154316,31.279120608723964,30.369771363431045,35.44203383674371,34.82553421276214,36.73125607166278,38.60666899334543,40.89945756083906,44.68796439494676,48.999719792905616,51.02937877795297,54.77029243282264,58.62802529589671,60.07995795001571,60.7396922104809,58.06671622425051,53.78131153117754,51.48072791938399,47.14181228232838,45.40215121821254,42.68988501964992,42.91419328236448,41.26161835330907,41.880874692389895,46.523473670001906,46.67378832543094,47.54912271634928,46.216722530543954,50.22417519863319,51.59878983474595,57.03171831652499,56.07177094248296,55.7657830985898,59.64029603053259,61.07657040463371,63.35776036116973,63.584490607122454,67.7105421221843,65.7212645693162,62.26751786597488,67.22526106259164,68.75689498313882,68.67382295808389,69.079503667524,62.661966863892886,64.26849397744655,67.86532747645879,65.71825097728767,61.67051328314356,64.74604685217794,68.10215164580958,63.367236531394084,62.64628396641743,59.434102161993216,62.57607852023748,61.536497322811975,57.23712952775102,54.58592975246107,50.294250003024636,48.80821929513956,44.58405773601242,45.12260935621898,46.14397590698561,46.556507159374036,51.19189469737732,48.96510670991545,53.82204419374613,54.44156337566357,54.868703610360534,55.27610717196476,57.987640608271704,55.307026041455735,57.01111923172619,53.12825356216532,55.38275990894411,54.49064839790668,51.53047961822956,53.33685369797384,51.0885249577028,51.84841807740906,51.226893159811596,49.39387630975719,50.54274545218676,46.4382469173951,43.159638799690185,39.811581296502844,37.84692973077833,35.30428405225292,36.581364499834585,34.08684203722743,32.0800944981244,38.01930570891173,36.938468733787715,41.84747624992015,40.53744681232769,45.97022517256319,42.59620272748869,44.16661772664143,45.586472281447,41.94769271702415,39.844681739804216,36.75854037644172,38.78453504539004,35.27381079243443,38.82181872598341,38.24124181022449,40.977433955494234,43.29468636627523,46.18833172778996,48.319862335006036,44.40179428888671,42.52779318754333,39.36477874603898,40.32107711613446,37.98269829867634,35.01300334813216,38.719438652929526,35.37282689938258,39.69071178280254,41.3437281991593,44.72683800779435,46.421317222676954,49.20797086220919,51.69941084141815,50.13354891295789,49.26077903066824,45.717437585837324,45.682271112280105,45.41845272339938,45.19583220011145,46.6123837423708,49.984746616780996,53.64798362792904,50.90305061172703,48.02939844437404,49.991588500963644,46.34723287064198,44.19179589398755,40.929379271992076,39.46687786502939,34.984647585377516,33.85591747991981,29.627293149421668,29.807176008432958,24.52271556553189,27.694843547044997,31.642700465750863,33.544193128442906,35.52197897132216,38.37508916314928,40.255635915257784,44.105452253105014,46.24506780439193,47.94992792776895,51.211455128293956,53.79289351674067,53.74759076469387,55.10959401067852,58.07157559036264,55.20384843071506,52.20016744809804,51.09847380555846,49.06190607775787,50.48359408584185,49.52805769662217,48.6627882060317,47.138076250915375,44.92877624391187,48.43023783668479,51.040184404249885,51.45439574701859,52.83492199521135,48.01456050294095,53.505899628335385,56.959769935986806,55.43287771189794,58.544836770886235,57.53218252543169,62.82150062500717,61.87180100923265,63.30206104551016,63.79711846803151,60.01631707267032,59.21019909688301,56.53429646006054,55.95129169903058,55.627830194240545,51.119864431411095,50.35523201996113,47.21069340135988,44.04377806361209,44.4182072119684,40.77874225376481,39.3750453989069,40.810039894590695,39.753794695341675,35.51666084998036,36.78007012149425,37.63732206227027,34.52151361985402,31.52328029333632,33.14375150533295,32.397798627092506,28.24063715338281,28.91308412653764,31.578293282931014,34.56726335714416,34.97445766119339,41.08028273039433,40.10574697138637,40.10263638242893,45.172281574146474,45.126613536782834,49.07731941440875,48.39987562577699,48.96959566178353,50.73232675164323,48.85339132515288,53.87074356584793,53.39752499279538,49.42196711713841,52.14989101824629,56.55798668884917,53.9542934790253,52.32635924737023,56.13015795064373,57.24937850921375,53.23653310458616,53.31075770788162,48.6105855745724,49.02780016987292,50.26285171760554,46.79908141238658,46.861740283179586,45.96205605502801,43.94226290570389,43.05965703379498,41.26564897226411,39.34137311182289,37.43430619126626,36.87774252774489,34.501025324177704,31.504107086900376,31.69458592381919,34.06513707092125,30.984545230487416,27.51383774002202,31.276086700873613,33.694479978191886,36.04391561375194,39.055789742398545,40.19883421180533,44.27240136708373,42.267289602029095,39.78880188422432,44.373303425405986,45.92330212275555,43.538267697475064,44.82801431311947,49.873184748240455,49.00550553721225,46.02683217414818,49.39110863861617,53.067536154477715,51.47676741797666,49.13912959483983,45.248176811872575,49.39296049916444,46.105221955688265,43.57864467508863,40.06746035862309,38.42936346357728,34.30176832814917,37.149133328912505,39.75856771058226,43.515340028459605,44.199999352781994,42.960402298276534,40.194840797020035,42.14705787390505,38.96848647112975,34.74765852818916,35.16309046582273,33.7339137960212,32.17798167026507,31.298800605489916,29.52394410286709,26.614257577512436,27.239409427564205,26.16965017614184,24.29597009702754,21.73636151156109,21.542810234375864,21.774849490370425,21.690338078128516],[19.959785638086167,23.238779106759974,27.480404059290922,27.497559919958725,31.679363031366737,25.60843930554937,27.825813111381095,27.167140453028082,25.297543092680435,29.127705047453034,28.671382028378538,28.26037823876317,33.00181781691183,32.016300277074286,34.339287017401126,36.3656319152978,38.280106826450435,42.15222877059574,46.21870162426547,48.46145846046385,52.12329310978523,56.070434509292774,57.369520485753654,57.832983135338246,55.23738378016281,50.882235749380634,48.68076779121271,44.34502559121589,42.90290964963463,40.48257135063257,40.8800996923931,39.5124627480928,40.46229583072729,45.056538704386575,44.976777746218595,45.491904424509414,44.30901195938724,47.911091062643024,49.13462505101406,54.761688926975424,53.44019444668893,53.175530307960386,57.17284119053445,58.42881069143281,60.51789667428426,60.6287753933219,64.80097087990443,63.02080647244791,59.52953356471826,64.44701150177256,66.19017662675468,66.20563527438804,66.7487522088975,60.28549880928021,62.160090875711155,65.72257327288496,63.36149746756022,59.47419025726274,62.7405560096335,65.86654230938407,61.06901469966685,60.55980392226849,57.47230951349385,60.39614960340712,59.190064812571144,54.96909233496479,52.11561152525612,47.9255288106751,46.150675783347594,42.04018829040622,42.35569191895358,43.422324104577,44.12722136898183,48.76049370889073,46.79439717286912,51.92355910592698,52.4563515538777,53.216887031208536,53.52447368558738,56.13721903664796,53.58674657223221,55.113881286876065,51.44535389977864,53.53717847910979,52.34754054662281,49.49068784493755,51.22770289681683,49.34043448151403,49.847946982588674,49.654175037001515,47.60481053335459,48.88493121004221,44.76575885156769,41.62299148071782,37.998737512225915,36.14475748379343,33.268387261708384,35.001649748886194,32.490096640562484,31.060161899247415,36.66889720776129,35.73142506006747,40.35972917293338,39.02105697781493,44.32558907027805,40.72691423646819,42.532046857154356,43.69008970834459,39.88976311577183,37.97412458840877,34.52080628622604,36.377990717972494,32.665903760064275,35.97380260011598,35.338176139991134,37.84655326360451,40.26002489193713,42.92563092905308,45.202772808995235,41.48829132327624,39.40077954327308,36.23919083420511,36.93196968931597,34.676554969064924,31.805706963756066,35.60808196243222,32.53682039727347,36.96721832135486,38.82501203112977,42.45597726528328,43.92834052885564,46.99309129574154,49.28494401391537,47.97859727240314,46.683983340664774,42.98827717205933,42.724213827674575,42.29850471043356,41.87888756756618,43.46082843973139,46.60155509810719,50.40756075884983,47.789005055137224,44.97459607543519,47.147632704426336,43.68603163652173,41.40342237246789,38.381684549711366,37.089028741817636,32.60264567205087,31.854001119020474,27.75522873836865,28.59049685397201,23.616426829664775,26.665714247833044,30.407479148246974,31.837414998906837,33.85525694450258,36.45875997286985,38.24874587577796,41.70592492034909,43.8649551980241,45.17869422305823,48.66217730746821,51.05514830684937,50.69794878525274,52.235350159447364,55.03637059655129,52.16832576749446,49.06669889576711,48.155268383704026,46.123279049647465,47.85613337446804,47.13943924453893,46.47533429125438,45.263273776310086,43.02344703203436,46.874903946095216,49.12901643904859,49.65112505485496,50.633966975285595,45.93778680867944,51.3835069379968,54.74843784389081,53.03561277879273,56.15608646800919,55.07983454936428,60.325049101094606,59.070327769273284,60.63197894662019,61.07692638102679,57.38951551622447,56.55410966740211,53.91094661984767,53.444837519290914,53.17166627742088,48.55668415115864,48.03308211956602,44.85367756337351,41.8753520562858,42.488911752232006,39.031199782809765,37.26942801155447,38.610960133286696,37.964726360183185,33.57427195845551,34.27369200805872,35.53980956751739,32.9472820577223,29.31921506201529,30.86711669096984,30.55625162042522,26.3288550705093,26.42732599634094,29.362920460832555,32.15921305444599,33.20187052502277,38.7760287108441,38.043833012322104,38.429855732583626,43.625845037414855,43.94994234529186,47.820799768373334,47.39054939308134,47.80755468550446,49.69212539600693,47.70401750023725,52.692786015520284,52.05730660893249,47.77491007270909,50.619406337360125,54.94233600656074,52.0798404059223,50.36920916011788,54.15965812098492,55.092885309370665,50.964588304334846,50.95435205522027,46.39598112805561,47.112739352787415,48.59290483707956,45.36131459427978,45.71211881457802,45.224832836794704,43.0637021644408,41.77211670308459,40.37411493239133,38.712581613773544,36.33263449661195,35.64811600604189,33.7630661570092,30.73011106884235,30.428816645885362,33.232281435113116,30.4718541808968,26.54789325625011,30.186454469159827,32.979475175076146,34.970866404815546,38.15940140216062,39.12145701845478,43.259134723130884,41.16003982120079,38.22175185542059,42.887734929372336,44.39899607461188,41.8007633829089,42.853831431563194,48.10582291810897,47.06984322616967,43.76831504243567,47.15123462888592,50.97313634980596,49.19796509815409,46.6485940463362,42.56324091321458,46.66585982768775,43.15454854699299,40.934224007233986,37.14935531114829,35.749905555878634,31.455540154707677,33.981642832878336,36.68300376058974,40.45905783075183,41.2324953364396,40.326557763161944,37.44335547114612,39.643566993721436,36.25792563056751,32.258107036637185,33.183548191036486,32.08791871224571,30.605640590831122,29.10369457873886,27.492594405948257,24.94537819560504,24.926635693189674,23.578332928547585,22.311207028177986,20.143088502414066,19.930340941209284,20.30895646077827,20.649869123406734],[18.16201734860462,21.08502763575093,24.826563623029077,24.66415298545353,28.360838502097764,21.97469803519445,23.843131191751628,22.903999022964378,20.946395559003847,24.799989748776202,24.26904610872375,23.721449278627905,28.525944526993204,27.71977217173082,29.95121038661281,31.887372725127047,33.88996555194336,37.78058142313644,41.97061503369241,44.079723287591904,47.80475693545773,51.689304455573044,53.08057536246543,53.622828257839956,50.95366024980146,46.641621159119765,44.36332471641468,40.02236961924576,38.46577972951683,35.96342312363079,36.440928342324334,34.96909033865637,35.987436141568395,40.60400907846839,40.449160388016644,40.98057273080059,39.75269044009055,43.41569983213844,44.687433941898234,50.27960667044068,49.06252826241567,48.77060831229941,52.72838498941497,54.0488141619214,56.2272366240704,56.414844639366805,60.5587610606672,58.66937879771239,55.22234485396764,60.1854048552791,61.8162803092559,61.81204382414533,62.29137796560843,55.84093202727745,57.661664441078294,61.2094897798582,58.88797008840405,54.96434449552551,58.20279782341027,61.36982677025202,56.59932860874625,56.08778875204203,53.01054259033267,56.00784954205294,54.78620762491165,50.52658244626737,47.80640320806501,43.576092613864894,41.96183220569632,37.84646176527256,38.301673271862136,39.53438854234722,40.05166906171153,44.626957153144446,42.5025219138414,47.646041404950374,48.04010352403872,48.797498180296685,49.028162541101636,51.60543527681943,49.02863154854209,50.563634526924744,46.90723503950079,49.04423287410785,47.87930737991664,44.96511902071097,46.69609908789718,44.78063236134589,45.336109778334865,45.1729953960658,43.18300561688282,44.59162396698906,40.4714768474368,37.285353577249694,33.598975260214765,31.87762908953441,28.940057759834406,30.527685504982223,27.955984580412633,26.60552710165014,32.13644211980872,31.296413404304722,35.85277561040585,34.657913068651986,40.0436898569107,36.555483547056646,38.54798218215547,39.84829470718816,36.176741288100345,34.051283604370035,30.631510915920316,32.23870779224175,28.46557920551092,31.81981289419537,31.079700892971392,33.74015872201776,36.06772316098077,38.91000390444938,41.120337398144194,37.27392178809642,35.32823682213767,32.128821340108324,33.031031137214576,30.715529787435106,27.821615988755074,31.70242796938185,28.778533909108873,33.0701535607936,35.02262801166919,38.48148973602189,40.25422516646133,43.29185220098521,45.459563928955184,43.966182532531796,42.754516382580924,39.01665377438749,39.09051121194481,38.497970354059085,38.106579491306206,39.4693061706764,42.74882343955083,46.40337962899535,43.662439964526875,40.82111005614197,42.869405922595,39.308886734981044,37.098457814119044,33.98158271112524,32.70571587614508,28.20871684211027,27.529908593171864,23.313621861503965,24.278877033924626,19.35623820110807,22.23888801271504,25.93925256762088,27.298471220248317,29.409437648898432,31.934181187392813,33.87441043067631,37.39344852767771,39.430956921645894,40.92778042066186,44.308308465912404,46.86551488006955,46.71653221422791,48.27633917736174,51.22075231078683,48.49041769718715,45.336258120405404,44.32266573688767,42.140715615413086,43.682462880170625,42.847958929721706,42.07230647548804,40.83137980112286,38.50848791539156,42.38373552853528,44.65251888712293,45.23832539072555,46.30037791070286,41.68641340330403,47.21286965851699,50.60727000155706,48.868558097126645,51.85089974671178,50.70443320898452,55.99495846974554,54.865901078947175,56.44704428787311,57.00348039599964,53.28578578425252,52.618965720498,50.065809999779724,49.69441955654795,49.61461075819787,45.068699982505066,44.65966541901833,41.708594299831766,38.537537646102066,39.51033025649541,35.90709079349749,34.026413905774,35.811375251486396,35.334787358355086,30.775375220980123,31.693490436824664,33.2930822155223,30.713887545665543,27.020891246588626,28.975696529965024,28.975409990668403,24.51939341452486,24.771809304263233,28.273959807060624,30.785863544349255,32.20788625356195,37.473760115987055,36.432706178267466,37.07398974271175,42.19675555903642,42.89854902404216,46.40662237621074,45.73793986628471,45.80067264522416,47.45928055915001,45.12922061768186,50.13103261047767,49.76465737898077,45.22078560860872,47.83175496501155,52.339589103635575,49.53714607734999,47.55553095369915,51.1865320908282,52.43071862077661,48.3568004340715,47.87207336598035,43.49474259562485,43.84187370134236,45.46926048598002,42.449047682329855,42.63165412860689,42.386778014009515,39.87046072162058,38.6345993391649,37.673984876827646,35.82328898994519,33.17031313341442,32.89154622239402,31.251298706839282,28.117484470565024,27.938810765126295,31.197668860500308,28.61131167562837,24.615121788108844,28.584890123149204,31.600524554168842,33.38264636963656,36.33708824307138,36.85198829825051,41.14344173040492,39.45114369826938,36.164059982407046,40.60238213499116,42.47953492592812,39.95304463692967,40.55522882324787,45.98006651351271,45.31928104910328,41.77290010207291,44.8269007743837,48.9576617195564,47.448432235244034,44.75590860163971,40.64300335143109,45.03968264752468,41.589042147711005,39.63920701733244,35.56523519363149,33.836697045524595,29.35755527560452,32.08392082354389,34.51751793785733,38.36759358518895,38.790306155197705,37.782568786781646,34.453252601870396,36.38928550456206,32.77015493418171,28.999176841852304,29.679223939356003,28.826087468051636,26.935393725411288,25.483672191010584,24.394063019548042,21.64556528865368,21.137866618636316,20.464878069003476,19.580217813257235,17.104647837727626,16.661183456933387,16.85528084698511,17.424397815959203],[15.949666416779491,18.72605695378307,22.575108097515475,21.710592837916217,25.844574375528634,19.70786088326395,21.663703156348173,21.463480225078413,19.16152641595228,22.786345521070405,22.601879288030695,22.77663517646678,27.026994076553247,25.71449372753186,28.50785639478736,30.620857100917803,32.09079950267112,36.06611355537673,39.906836398896296,42.28445598892975,45.89191790986713,49.874518571384115,51.06651815741453,51.35516199890913,48.79180999738783,44.40257709144674,42.258607701359296,37.94089006250563,36.79103450276706,34.69057146772832,35.39056456170783,34.295376620734146,35.70694287090176,40.207416040905805,39.77705618106473,39.85716300623753,38.82177092426274,41.94551085305996,43.010563078921095,48.81403089106496,47.14755579000084,46.92134449561903,51.01916681007956,52.103376012646,54.03306693234475,54.064586004558585,58.26124388120603,56.642389271196514,53.146130042300626,58.04111783509279,59.93804436931338,60.0512313318885,60.705766431560924,54.21937296863198,56.36009648883042,59.8597655794223,57.290714616764724,53.57853897143206,57.03621775500213,59.91465249852327,55.0879432816923,54.83746479239819,51.92473974845165,54.6425350278262,53.2237365517533,49.07971656933656,46.116732344969165,42.039547166059066,40.05893091958842,36.11709400238217,36.26982430989182,37.54769236880791,38.44791676287432,42.99511320812892,41.218959098841154,46.65992595606807,46.953051314166096,48.10624021131925,48.21861435774216,50.660611287548655,48.25255384887374,49.559216043560944,46.1777662688436,48.09183770274216,46.57235701046651,43.81632217408905,45.46107665474541,44.002870390789084,44.24978280189491,44.606768016588575,42.371171976459756,43.91821884951027,39.81980002905609,36.8384594899218,32.863498511758,31.300169234679238,27.987949128480803,30.137901734757335,27.59621136974062,26.989643775698987,31.993599479083706,31.317046174440392,35.465620044223186,34.22097930473129,39.36483208140292,35.62189117884789,37.84818793458479,38.79298791745628,34.94433171662553,33.10962858242358,29.267247110949658,30.6700464280411,26.683541201239006,29.678130984820065,28.891138395316702,31.213095022995844,33.67688698965017,36.19045119784255,38.606074048764384,35.05267110804304,32.81751346788269,29.633015738320346,30.143021281566636,27.945176535033124,25.197139770828684,29.175844380511517,26.62960902808185,31.04617824608982,33.233736865634974,36.99778586280376,38.43835913667434,41.79830684847698,43.727170335432646,42.5874237983916,40.85424701731319,36.95333219945215,36.69184276818049,35.91782425600141,35.27317361619916,36.87361167624112,39.837517402029604,43.686789459104794,41.13261081455425,38.37384325448002,40.69920461074607,37.40243430368936,35.028376508206726,32.25788687701019,31.20860372267409,26.764243278618846,26.590149123903366,22.668544771093607,24.44508305046523,20.12409301502349,22.745849384534093,26.063357785306902,26.7932882855087,28.88941669966058,31.069786468686807,32.83580081077851,35.81039507856234,37.88209518167887,38.84697022366149,42.504131283396475,44.79027355756928,44.225630152828174,45.99121051102699,48.710191082183044,45.96697082169949,42.7085491572326,41.94729851182108,39.80167749093348,41.75268935448581,41.23693846717604,40.734651574994984,39.89270699354981,37.57424393636244,41.831197306611394,43.647810940125744,44.34563626188201,44.90484554538743,40.45943399757604,45.8775881636096,49.141123574454156,47.19252812441999,50.19619681172371,48.993505591770884,54.20344141938401,52.69160766995148,54.42110360428858,54.89701534528608,51.3074251613468,50.58023259954989,48.06186649904476,47.81898924521057,47.77255463017227,43.11112251560537,42.98183360572671,39.97992374625805,37.09245497775262,38.29752042740785,34.97815842607918,32.69959568493332,34.29191329882189,34.29886679119558,29.648345234469634,29.819823388598916,31.868569925683136,29.968259450678396,25.58904717319797,27.370874824601927,27.873955043089726,23.478050875628632,22.98141076511701,26.689036075815903,28.935718718552195,31.05107971605913,35.63960825576175,34.93313476063192,35.990905485008305,41.198499684953184,42.25787822761506,45.68822260469122,45.33424146158941,45.275925571066125,47.08734586820834,44.70846430538111,49.62919116938358,49.042252925401606,44.22394269849814,46.980273053006606,51.329949512443676,48.239491852416485,46.213118688339335,49.82378227415583,50.80432652033127,46.61381885067441,46.09318148316405,41.89215483825615,42.64419417434536,44.525283112259004,41.775779438194235,42.315851297163334,42.50695366085432,39.91960625311834,38.217893124269864,37.66368106277296,36.17356016923248,33.06436394721379,32.58066816366413,31.51101816729983,28.431266680349808,27.661881271484763,31.280176908647885,29.095047499634532,24.723349508903635,28.38099479566853,31.71100231719714,33.08208744796242,36.21327777515067,36.57771460919368,40.85722890471166,39.024403805030566,35.30514317275003,39.80615927259116,41.567202468205885,38.81576660971607,39.189853652813774,44.77968220853247,43.88355571295366,40.023064681776695,43.111472868292346,47.340469076801774,45.59753998669323,42.691741648936095,38.38082286159186,42.660272172859514,38.960422364706844,37.3717526852971,33.03616555945266,31.65307659601256,27.038284894530598,29.30114407801747,31.850904718810774,35.687185853857926,36.251227271950256,35.67714977276568,32.27808231244853,34.5391900440814,30.716501772022784,27.255346742576467,28.6098438957501,28.164927082103585,26.46645305108972,24.234440185084836,23.335061232423367,21.177255900575393,19.862397241257483,18.756921600303045,18.729507742899667,16.94374544956669,16.5188434193044,16.949959229061573,18.029823448178924],[15.466924702630026,17.562966197121906,20.71247418608378,19.186049969631252,22.882132422439874,16.570444797345004,17.985648339514146,17.856376518124467,15.090930221032288,18.489485322299043,18.321534332974185,18.802515871663115,22.812584150868265,21.346640549940734,24.282701382093027,26.434826183390438,27.75431363991087,31.73833096190975,35.53001726895826,37.93328842406459,41.52377934254495,45.51664728632441,46.68715058699956,46.964778381685974,44.40712556448158,40.01162480418507,37.89593245168622,33.580091397591076,32.4823741862924,30.515062660067862,31.28265555569209,30.357452277121773,31.96788666725446,36.385480551761134,35.809075814224386,35.69600687046395,34.78319673528663,37.71116203455752,38.76787132630504,44.655545276096554,42.88379416559415,42.58560449207754,46.706924199063835,47.78518509365066,49.68737600397884,49.76978210778325,53.95362377726318,52.33303802088186,48.90994136466561,53.842653114079205,55.716664761023246,55.87789232004373,56.51526715048048,50.033461604548144,52.260748252191746,55.68083341327929,53.024634718654916,49.369626077931024,52.871941257004764,55.64915703195962,50.79297342499094,50.60995859413037,47.75892849977303,50.39868690679883,48.91545789846616,44.79985486675076,41.80969598155755,37.7669819846607,35.754544594824026,31.87277632015806,32.01498302840507,33.43390153410681,34.33045412799962,38.816983231730646,37.07339970005225,42.63126872059145,42.808702943622954,44.12528122333346,44.16253062178122,46.54863016918059,44.243235278337814,45.502741735259995,42.30759853574582,44.20929070345888,42.550724222250054,39.762318649921355,41.2909937016137,40.00889356493206,40.09174000932948,40.67460423532682,38.35185621229058,40.02484696436593,35.95237480078526,33.061392496705736,28.93268668538063,27.543219040360526,24.02594689159175,26.379207600479575,23.881627039650503,23.834303618504492,28.424335433278202,28.071308799714135,31.869418853060406,30.873109634115668,35.988021039603986,32.31014905689595,34.88106765922612,35.835468497663854,32.097801049912334,30.156607845983835,26.18532766428568,27.09465190469788,22.89493304525214,25.691938453735585,24.636294729394987,26.953906862797464,29.323326690513294,31.876812185202706,34.22718736934422,30.661200289445297,28.43566104079666,25.247447970574434,25.869028229469674,23.724711002619607,21.10304311699245,25.312072866690393,23.284293068330076,27.543487967765603,29.989160506939324,33.662882002723634,35.30796954831681,38.779488290796564,40.42051526854436,39.225264140966104,37.331626691826806,33.289021105694,33.28764550952867,32.16054502662321,31.362798177950072,32.79712055971281,35.706020143655024,39.461793817167354,36.820944542869576,34.106607808025664,36.43309948131428,33.13696327362981,30.791886909836677,28.10799224816374,27.267947820236326,22.859103567447377,23.135005891582196,19.23827843018274,21.618022812647087,17.790999328532795,19.865473737896263,22.881358773195807,23.16146780759864,25.421731094678595,27.235002973413884,29.18132573183424,31.925936138175903,33.78749685042291,34.72148476339599,38.38747772137728,40.77284727995197,40.24763276124085,42.18505721101455,44.95606155641551,42.39462147120834,39.004735939549235,38.26921838049382,35.93469343856042,37.86013474845689,37.355526199430585,36.82859612967192,36.154475169411704,33.68859384021803,38.15522645564521,39.7814547355948,40.64269724916616,41.07017311231523,36.854380834872806,42.31067006972973,45.53869148502597,43.448191445478535,46.25168236310572,44.89674991348559,50.12980978416938,48.577020454707224,50.43609389327012,51.027747988248464,47.47425534619827,46.94487843507197,44.56916424541129,44.51546549044386,44.72172217255771,40.1063344945497,40.256068449785964,37.51736527235341,34.572836955134,36.283204366913395,32.9736388687582,30.405656105576956,32.38819316235763,32.79980651526703,28.014921482118734,28.064563982177198,30.64744861042508,29.097765769517615,24.469503306533117,26.545827586915294,27.56415500974224,23.121205973622228,22.464246816099696,26.682510782776728,28.473299044295555,31.183559100619878,35.106674611962724,34.260461670797184,35.713174442506485,40.80290391507428,42.32618958224864,45.354448444953505,44.89871701688682,44.45948998301523,46.087219606784195,43.37453609577913,48.228312583326385,47.832664535473015,42.6877725305732,45.234432184499035,49.674900718483805,46.55188342382592,44.23958281779681,47.64306903382349,48.83015272551873,44.67633869845295,43.62830517846809,39.745433936143456,40.263589872041955,42.40369488735378,40.02368070161907,40.51870904070012,41.12712971452233,38.168571709912904,36.36979681799113,36.447915165273216,34.91704833951475,31.397795255714392,31.283231292890886,30.709721415631233,27.628652695673726,26.780907035606788,30.893761957641836,29.072885319067854,24.650362591665548,28.382701562129867,31.937226255575474,32.940589412285675,35.851138808622274,35.718666555582786,40.078405428670074,38.61228515078688,34.45195530404775,38.67835434140924,40.731839823751486,37.99867012567624,37.819848625527165,43.586685929704366,42.971498740630885,38.78079891822888,41.51347640779806,46.0561788152542,44.48939299786705,41.377162322045606,36.99771456046417,41.462850195742064,37.74623422665661,36.62132061574142,31.94727319782341,30.425500798511493,25.650116787413594,27.824824774849212,30.09830519923763,33.94819810659646,34.200197811562894,33.748057801536035,29.849181446669686,31.94198691372628,27.757848360334155,24.81807736948294,26.196413918781264,26.251444323883756,24.1822322257187,21.671307172197004,21.560453935601128,19.5324983033103,17.170647324233475,16.78400057475535,17.706081571716705,15.99863116802694,15.262053310971462,15.508166557684143,17.01620836983708],[19.150322363913197,20.911585223962398,23.71588174870672,21.32130995413809,24.847490353622142,18.71981432240984,19.3460251332646,19.339939678318583,15.65262516530001,18.0676141510887,17.330487203196796,18.384481008667972,22.234527781242473,19.995416362908273,22.693122597560492,25.276428809121793,26.56864432827645,30.1590692018937,33.686160036733725,36.46505108856556,39.78811392930245,44.01008996985485,44.90930274658578,45.23311133654637,42.97649965569431,38.481183036301815,36.766295682488796,32.491850057053256,31.412932841282846,29.77963368940676,29.73315353640042,29.621381432889557,30.98524515550396,35.129982395087424,34.84856773661677,34.57230750330691,34.26820052871463,36.95194938654396,38.1916169389242,44.297058005112504,42.29028585310293,41.51400152386597,45.67658834399202,46.886471012349645,48.62607999680489,48.93581850192393,53.059832881719196,51.48703292950814,48.40851865367414,53.44615523309607,55.24319239601677,55.555748988855974,56.061247737825525,49.63825623498244,51.99075403496102,55.07972972395608,52.195866428553785,48.636967900033085,52.06583892205084,54.60720269980098,49.51269754447545,49.13089306701302,46.19986596543933,48.53235623438052,47.2227665535666,43.2735265591479,39.80583898934064,35.865356295764144,33.48655698722687,29.54022978550867,29.446104321432177,30.452968973995393,31.632458476161272,36.25320375832216,34.90613129497694,40.43197241709621,41.05811459483605,42.48621400795582,42.85488939452184,45.4744406941027,43.592714273307465,45.08806854377222,42.328085417324615,44.440824735614996,42.6089775427831,39.563043478916626,40.57724712880115,39.44438495847837,38.911998304673915,39.41916483182748,36.70377839053597,37.98837582816993,33.950987390829034,31.330592872588223,27.308630329310986,25.564707744893262,22.140657494293222,25.35378134505929,23.397710741891977,24.142970487660588,28.465499721237713,29.06003133756759,32.39140314416759,32.13007165775235,37.318497027897884,33.90266010595553,36.90797421640521,37.9334058280415,34.378335456169836,32.307313605194224,28.2719566859353,28.434409513013065,23.930600940652212,26.194106180170856,24.31614449064672,26.426741171593495,28.317929993294864,30.735026791612675,32.46442689369223,28.991371986701843,26.67185252579936,23.797272025958765,24.780970627227454,23.192895556860424,21.22942538572296,25.93310088939167,24.97486672392355,28.9471618418008,31.76215156603407,35.28840755372358,37.144127296764864,40.76836756668259,41.9912944184776,40.751555344662506,38.58675203270839,34.324020239259134,34.580207819040105,32.81180106168546,31.515178321481883,32.72846517966865,35.09744669088902,38.70106162973292,35.87531560103598,33.480833005588885,35.89264015202849,32.60819913240559,30.449396241506992,28.053729773789364,27.796986317287327,23.53381996871768,24.582961827073067,20.571740965831182,23.411354009068837,19.727076888001672,20.852539163545327,23.826608600796714,23.700458498925215,26.49618838672919,27.582820352839647,30.17905799667072,32.56224505880741,33.7916821295828,34.71439839295643,38.36579887486675,40.998680168005464,40.40392598848593,42.786113165703284,45.50871125967982,43.26179087885498,39.625753573864124,39.095951470771745,36.46053416161318,38.42783790847954,37.948228418671825,37.284242038341475,36.830705958218076,33.924361768659594,38.644074583694284,40.12732354484667,41.355060829747565,41.69612851790018,37.958621205048836,43.46662651612178,46.621001449023424,44.28583037458588,46.63265617353903,44.8749616490548,50.159271182330805,48.45980009369685,50.68000389764015,51.49956671193629,48.07534440499314,47.89530307297948,45.772532105941266,46.02292258895893,46.550024695163955,41.991808895144025,42.514555901430576,40.02961603369323,37.138033796480656,39.285817793849134,36.0500255418432,33.2390551931113,35.43882170574281,36.205386300527465,31.38189719169873,31.139505836486734,34.11931258551874,32.90221736364737,28.074093604627944,30.155967539536014,31.484748988300733,27.10749750176225,26.143521573685753,30.465016363169017,32.01930918675629,35.12150804540024,38.56144254452106,37.86090871377552,39.56722113146144,44.61881805439438,46.350907493481735,49.244314661070845,48.82514276077021,48.213544722505695,49.76001788191148,46.86534614122442,51.64986910370105,51.34721383356744,45.99751038772727,48.41246564415999,52.86620179366475,49.67427804981989,47.17729374454589,50.39763031713042,51.64887154982584,47.50497542984389,46.06411155144873,42.52372394080384,42.93484770251529,45.30628636952962,43.24370381172974,43.689583154902245,44.558817319858754,41.330018897721494,39.53407244082794,40.033683330653226,38.420399251485065,34.703774061271496,34.872515144111816,34.543302197869394,31.468828397048693,30.637244136396426,34.938216276104825,33.2418140970832,28.839776642305825,32.55810908105334,36.1760642452034,37.03711812793812,39.875982716486725,39.5211666641212,43.89550477609273,42.57322149450388,38.194609859705096,42.2758858878772,44.42421394660249,41.65482526835427,41.16531358500277,47.0251161078873,46.446900269132605,42.02319968747552,44.57916999404978,49.28166760705988,47.68295453408706,44.39607642725454,39.909064510408314,44.30791919182073,40.41989390265738,39.723690890224404,34.824537425940555,33.53543140471665,28.70165953947756,30.432081449549752,32.64791232663966,36.42980971895195,36.62668468055451,36.52589823291403,32.31247445609929,34.36781924084505,29.833372931334015,27.539223409692692,29.00668894864184,29.47928427877119,27.07481853130666,24.42175748596826,24.956721768262415,23.040416972661333,19.925620259559164,20.08050299803917,21.602644551914413,19.91444049230304,18.90918585837507,18.767612584857368,20.290150282065404],[21.46099231927761,22.72053909397445,25.079339648048062,21.763129339803317,25.13945402832527,19.592057868334315,19.601040426796594,20.1521276569316,15.879381513055314,17.1504449409295,16.332119607886753,18.328278417645247,21.349094540696345,18.238739661833307,21.109848284593163,24.026625006118476,24.823390463764405,28.10028715144304,31.105022555095406,34.295976108989514,37.305274536386776,41.70158484852536,42.272917351884345,42.45150746044108,40.49026123409317,35.923255938122836,34.60614884907785,30.45241757250171,29.70890135158536,28.65435272399977,28.238590647387863,28.960549466100847,30.428627978046062,34.19524843643263,33.89318554855067,33.174147553205394,33.423906539627076,35.49487951770555,36.692917419706006,42.999725368958764,40.558461772096436,39.5047719823595,43.741822028545975,44.87027460628305,46.321353956436866,46.68979292409791,50.774256482097336,49.41335940328423,46.56987206543324,51.59551845854211,53.48762514187218,53.97809526347189,54.49847766957553,48.14963345510647,50.77331559270621,53.5818715380683,50.40634564784198,47.08856578947449,50.585258500768944,52.752269029864344,47.50905198941563,47.18833333939645,44.357760885613516,46.26857245203708,44.93884623084834,41.224289722376724,37.31054125578615,33.611786726032776,30.744778897948713,26.970699693362377,26.47092969362455,27.230491594880995,28.890138284229057,33.49578949696017,32.69900462252892,38.35026246907643,39.16411351175075,40.94261572070609,41.42174055076962,44.052858417161545,42.59059742973066,44.05606686363979,41.81524811634414,43.88487481306187,41.72716743656299,38.66337926172052,39.254450768853054,38.56705990869201,37.418369790955786,38.26045796012403,35.16372443422924,36.295675338884486,32.38349666498358,30.168544238491368,26.109906941064086,24.352618714825486,20.82332619856308,24.907597834567547,23.41995497010146,25.16876709462779,28.74175082553556,30.02155368617059,32.66572666075291,32.85963220126854,37.8141568920026,34.49860969223953,37.88064316043577,38.731116427693195,35.28643107898679,33.335020898584965,29.130305437578954,28.618260836349247,23.93374294198765,25.471876500407305,23.00352335899157,24.645563393567627,26.211477223339426,28.249068398975982,29.629444160715693,26.502796914164545,23.9454552755463,21.40063876583642,22.35997549105713,21.353580816130954,20.10943278962817,25.076477105690334,25.218123812254962,28.89507165473637,32.04599697816173,35.54811642554507,37.34194357681666,41.191821203868656,41.94825447686205,40.894245806660734,38.26688280505144,33.82730000933934,34.09841212818223,31.76018478145428,29.955912769227094,31.105822203464477,32.83172226365101,36.38683388112225,33.57655327621338,31.511620389904966,34.12549273441592,31.09255331827493,29.008397474596723,27.133710640934282,27.462284755145483,23.517984627864863,25.392929398342094,21.724553669523093,25.211207267315267,22.207421364392285,22.560527776403866,25.063371762258793,24.248934400326885,27.24865875463689,27.570443096104956,30.399927965489965,32.10567511403945,32.875640596645525,33.41789990144219,37.170086649947336,39.76986124788784,38.88764477712043,41.69067281322743,44.22136861114873,42.23929124502203,38.40461926961668,38.17708985391178,35.37398273995548,37.579949266113346,37.324480200459675,36.75143041162477,36.72199653666173,33.58723991488637,38.62948238268751,39.68417827583525,41.214470272623345,41.167025576040686,37.94019951411259,43.32482815669767,46.30513218918739,43.69870735148714,45.70040198214333,43.6433965752537,48.85394139761936,46.83503055228247,49.38230364768988,50.31509570591697,47.092210346690756,47.1393675722453,45.25120045131618,45.79928207249877,46.58556139660488,42.07528325286051,43.025435588980535,40.75963657417086,38.09607848158338,40.67101018860189,37.688202721012175,34.54947685052474,36.795915008879795,38.06137630354897,33.26394184154634,32.47281817500556,35.922389031084805,35.2955198425494,30.135679950889845,32.13122436693504,33.912919814510694,29.713100407403815,28.26797807414906,32.69222409918274,33.865906144436714,37.53490773551909,40.20204874112835,39.72582597816763,41.80904981856807,46.782170363165406,48.85908109800707,51.535731357716266,51.27001014348292,50.44621363397508,51.972155929409524,48.927746142922814,53.5686524367779,53.24582320185087,47.648208371574526,49.99318691568282,54.341014480889946,50.99285501099669,48.34289876979351,51.365839069940456,52.54385960028728,48.40351235553844,46.62429084262243,43.49638196422356,44.005531197269214,46.654776957914166,45.00604285255384,45.58967023563599,46.87483697596579,43.45079967754247,41.43743270330906,42.460737896458596,40.99520569461249,36.961875597740246,37.23888121533531,37.38523282427919,34.401348607102754,33.32233962614818,37.86468632873203,36.48928646749724,32.02363170735021,35.534025166495724,39.2890642294035,39.82515019591459,42.62465227650575,42.00619941097648,46.33380085323701,45.10391712708162,40.397715893303626,44.31322061941415,46.48102725960891,43.628179077117586,42.75755884318699,48.69935830041926,48.089439579754796,43.37832480189998,45.73804177678157,50.58239664300472,48.9049283552053,45.413125796016246,40.824403479030124,45.09145689395499,41.03759274730967,40.888754043635494,35.75987585649178,34.77890792484913,29.95467831582724,31.113082249044556,33.2240082152499,36.86683240543132,37.02984853999513,37.39504832280006,32.956052981375066,35.074840753671836,30.269988509431837,28.715623223520588,30.540720901329163,31.519304128041195,29.05449820455294,25.98345561721456,27.079051128711768,25.602697296214,21.700404308476173,22.053962508091395,24.351529994121577,23.057449738006916,21.95986189210398,21.728864633486925,23.447493763550092],[27.02783091572896,28.40958983710344,30.505602814714035,27.595749096637174,30.171279729608642,24.18003058403365,23.461477030245625,22.819301735413223,18.343059178933352,19.103287590079173,16.913759506736884,18.04466260890743,21.908520608644036,19.068313661644467,20.243211804912224,23.310769697704462,25.178890522948112,27.70830991378715,31.078708657170722,34.13372265526322,37.014113582007475,41.460668508727096,42.08915775546653,42.84382752066182,41.05677405796494,36.5858288081396,35.49863601184723,31.414197802137988,29.863774894228456,28.447802837920385,26.509680750152906,27.619370940225963,28.040779466762274,31.63220098680188,32.228321088162566,32.134414192242446,32.824038039723625,35.57606648894771,37.392690971598704,43.53185760762979,41.66269203701088,39.896599812946334,43.88016356744604,45.62096483838059,47.34583770269208,48.29738582098713,52.171718581143686,50.35423380330665,48.05132612876268,53.30235484455452,54.59114389633431,55.042264000303284,55.07721507382141,48.89248458158996,51.080457431679136,53.54676196408907,50.546304909596394,46.969561479374335,49.96520436607336,52.35302948374741,46.93190572348488,45.86828543889595,42.63565673393776,44.66981897746798,43.94693253643898,40.23867607583092,36.21723944867981,32.36270979240444,29.829719905046396,25.629678920297383,25.52184802343004,25.61968791133739,26.754701071366195,31.579702192598184,30.581097323462554,35.60130527606343,37.20272256043814,38.39435560400989,39.52922188350316,42.709121309599055,41.50428566887867,43.67857316812653,41.52988869855504,44.248334430548056,42.501842410456796,38.840581719684806,38.926519450584486,37.608026526212704,36.21500994411384,36.002263161964535,32.82118698007419,33.16716914739568,29.24620470076231,27.018408798831356,23.657095955605037,21.06122179825352,18.45367236461625,22.661949955155023,21.894845678246217,23.530390466199346,27.53592704716919,29.80583437950317,32.47952807898016,33.68682499935519,39.122547006772116,36.5300333474475,40.082593472634926,41.58312844969318,38.6090953891129,36.02634816798455,32.37942450165359,31.411930362956692,26.785871725801876,28.445531459870594,25.246183813189464,27.336450121215922,28.030982251627176,30.578069910631203,30.73672397026727,27.141852533797486,25.22193190183395,23.115672759464964,25.343763893734735,24.68146471766533,23.788577001528473,28.924546153976262,29.358265598117814,32.56158049949515,35.703741155798156,38.53788899147198,41.15024128030028,44.64945529225848,45.320835475998244,43.602698444846894,41.56299211710189,37.17533080166746,38.34384650549002,35.6842480573864,33.887182065009696,34.29703455738298,36.05769813775613,38.95830845995282,35.595286379275606,33.76601836236198,35.868436323851945,32.363481179257676,30.85917936413577,28.661425261948143,29.23104810232204,25.379802799806207,27.23125005341158,22.94894277428684,25.797747672994447,22.22245286144284,21.6929736666888,24.653128141387068,24.309353579424076,27.980518039558557,27.98824741424098,31.894142872304183,34.128567848670755,34.07881762601747,35.62045097810295,38.78939791692402,42.18126049779552,42.02750422979296,44.92901542891826,47.821619368757126,46.237368827535754,42.34246600419848,41.86126116580159,38.66641333160386,40.1335023985854,39.323577761458026,38.09539577930253,37.643883160645004,33.95905615266943,38.661375323232285,40.29631940273582,42.095500617563715,42.808130942137105,39.878568609338515,45.51024915814498,48.624423993804996,46.091419302586885,47.487833412089934,45.04539617953038,50.44097078854228,48.97330571187253,51.66796815788017,53.027104076278036,49.738641285299444,50.317674811913655,48.67246172460197,49.35592472982668,50.47379128769245,46.21512092034679,47.13002520051574,45.22980469938602,42.124614802791235,44.88852615853646,41.507782341426946,38.640249775555496,41.488961959901616,42.45726014875862,37.62660162507755,37.6564587219442,40.94990404871658,39.70576394769543,35.11330178554966,37.47962833366276,38.9710571105782,34.562662373214636,33.79291839937014,38.304308557577876,39.639583742676194,42.893764347952946,46.058794476495514,45.17568639740563,47.02046997356323,51.91044129399559,53.826115239405155,56.422278842234306,55.709327478696025,54.77827680878233,55.97006890173309,52.69456443418143,57.40898077386497,57.55540894633733,52.026306529783554,53.99241887595188,58.65465070900189,55.6444992818066,52.78885441345259,55.63480603028242,57.355459293501575,53.38446422022835,51.14790003501431,48.11094829655459,47.82924343268671,50.39663921948821,48.730512771741445,48.72849954991252,49.770614951188406,46.04171526527631,44.66741725203377,45.70072922213849,43.62680713352838,39.8782540864826,40.805207351892115,40.54179116037362,37.44400952194672,37.098834789983464,41.56437924648073,39.86754771209563,35.756325789588466,39.75692762511434,43.317876501282335,44.17391990524376,46.66900266495935,45.90831412332964,50.34815718829528,49.52886874093136,45.03216643118412,48.72792388657302,51.257150451512295,48.6530782977576,47.69591809824988,53.604015743406165,53.44085007050958,48.842672799150286,50.94577025076997,55.9212708876085,54.5948640612698,51.17987927386372,46.718770110923835,51.21889477305902,47.34932277285601,47.0759086591746,41.990512548958534,40.60924075837842,35.76963656387874,37.35746592044868,39.25620327087665,42.94106981798055,42.77590346815749,42.76714673268458,38.014880212522066,39.57554438013915,34.6807607672343,33.215589516382515,34.128207277997554,34.99833668389056,31.834421784665903,29.664924017790653,31.156472470290186,28.940889142324522,25.26238521629112,26.695922969315024,28.50338889639491,26.34982270932056,24.94503433853083,24.08669802560655,25.36270239449198],[26.806383822450627,27.846863825632166,29.857904904211974,26.07310494189195,29.0252885712308,23.86836816865447,23.154226995906765,23.642704368141814,18.959629664146377,18.978401362337888,17.49091405636412,19.89697111019819,22.434828677619933,18.63104589325611,20.776998256229593,24.06527472748689,24.81398632852428,27.29939235333119,29.799541803560174,33.39870509524195,35.93331202228235,40.536299429708414,40.72785470062431,41.00466366418619,39.509623479439284,34.937619625403244,34.22514284125692,30.297215752756856,29.563775686837452,28.983135403644884,27.42370088446107,29.220592393097945,30.258910782643134,33.49245126247405,33.62348096714405,32.74337097089406,33.79194909709196,35.515431156457716,36.946396698332826,43.33747941675476,40.706893953372536,39.015574774569856,43.185510111867515,44.50211449918534,45.73457021855633,46.43513686668586,50.35409698485471,49.039564790044615,46.72555955259489,51.8077233480862,53.52570852335929,54.19330578211956,54.50552567693159,48.34554663466868,51.04405230281711,53.37718420730027,49.978041994106505,46.82363166114196,50.134335102025965,51.981122747559056,46.50552609664431,45.88634584809002,42.98453204985984,44.44478729433532,43.40953289326503,40.00184665386066,35.515367296731284,32.07051558519365,28.775378261186834,25.049746597706545,24.203163717272222,24.2143771456832,26.272786457830772,30.94281851638148,30.767748324017575,36.185022309552735,37.641164192244815,39.5072467398835,40.44678524657016,43.34803013254885,42.47515906338433,44.23998139524296,42.58713398349819,44.89866329094473,42.61767698523989,39.286745005640576,39.18999262354132,38.676222455084016,36.756118650389,37.42803044290517,33.89153826879388,34.4148026259699,30.68970381285432,28.966457362216893,25.299112940827513,23.13121262304471,20.0523827995944,25.018906388350004,24.355880875017828,26.8822019406786,29.963128962238116,32.2659804103975,34.30720401915852,35.34467491800042,40.2665961351312,37.370419304040276,41.10956445739517,42.07277438948999,38.925706114026895,36.83751936228,32.75671459077459,31.51763152363773,26.77928148731413,27.684903900178007,24.378070502078625,25.680671862247777,26.45126904661255,28.231052704594212,28.574891196435757,25.710709496156024,23.210293746850812,21.359668095827406,22.85099244770712,22.69555687047432,22.380230650884233,27.528456385247704,28.74797600547587,31.934740102357956,35.32969084603266,38.514056855945206,40.55673849785279,44.43838384970233,44.743881303738796,43.60024423377314,40.80931658303117,36.27257638567641,36.900461249938054,33.92699777247014,31.636379670536407,32.39884106131818,33.39260685848068,36.564831442613986,33.56377317766168,32.01410776774493,34.59032311895015,31.65846179365789,29.94867796666717,28.497232212216254,29.486881960012116,25.939409370604803,28.45636651159618,24.844392868373482,28.485800156960632,25.703682215555432,25.16975938305487,27.49673632633544,26.3508604973006,29.770304885416962,29.29129804171789,32.76324418251957,34.059469363163416,34.01207519037656,34.600089038687855,38.15758012710562,41.04225624480039,40.17176490305003,43.42506830148955,45.880834219855515,44.33907760046042,40.31923525595612,40.29951298376753,37.20507722952152,39.31915568317774,39.050205853134095,38.28568929157262,38.47208323560404,34.90713411549618,40.050851273060736,40.95278976567952,42.87960223266981,42.79634315424828,40.203735184401424,45.5380140124661,48.39131804649973,45.57319131439743,46.960032894461854,44.44057223977068,49.620114286919815,47.5129410868391,50.454701992700095,51.67763641550271,48.65499316940703,49.14584612692242,47.595491923932606,48.47366896640786,49.61801964658191,45.27414264215691,46.57580705955618,44.63593309907124,42.018266370533965,44.975056856744885,42.05470027880854,38.7878293004974,41.25712885856742,42.77522947390189,38.00520005547159,37.094526471670704,40.798805387279714,40.36823905779577,35.188161062769275,37.212755221933264,39.17570958880587,35.03094477189597,33.483178929017825,37.9442197665165,38.93838379499758,42.8302722757724,45.13367814867334,44.72819029573429,46.980857805655866,51.877981449405844,54.11341449257257,56.64293818367268,56.35619558322882,55.36429948318062,56.767819344843026,53.54662704376222,58.099890689466804,57.91919436893337,52.17700725285864,54.33569602542877,58.697409875393205,55.34844373343298,52.52149299592719,55.31361333814053,56.607269319428795,52.5405525212465,50.34267056436013,47.60064205124244,47.9104742657049,50.738567729252544,49.402617078714194,49.873093848311,51.362681842114085,47.6913311072833,45.7678891544816,47.15522444526683,45.56601286590139,41.43596912464614,42.01797027840878,42.31598043740287,39.345359022475535,38.37311725879807,43.024047110745116,41.71449206521509,37.32169886171656,40.87063998007671,44.64040055516924,45.097825692048836,47.78741005514139,46.965598745463836,51.29389039333164,50.24625734671064,45.40618624916286,49.137579605168575,51.41968535655083,48.58677690649934,47.434713551748025,53.40429451244092,52.8924603270826,48.02492129895589,50.159669364453045,55.12718919967463,53.48193716242923,49.87073217809562,45.26007340890218,49.441997166183725,45.31407706160164,45.54785388731498,40.302805713790434,39.479626220976776,34.69908221048377,35.52265763800279,37.49525323626717,41.00069398152806,41.05968240929863,41.690648480017096,37.02082694583235,38.98564794685345,33.98030028315564,33.043045157751905,34.78720219638065,36.0706324088002,33.31761818794132,30.31813374370948,31.911091996412306,30.448789137239654,26.173338700222686,27.012331149357124,29.56563268587339,28.185948195851402,26.927073143515386,26.40331226598346,28.044185085614046],[31.328333470345573,32.426601156532044,34.37547548819637,30.588121336981363,33.287249319069126,28.11841491826424,27.080065193290228,27.225831266050733,22.4435106172533,21.98583122262397,19.92600568098199,22.122836668560797,24.683810524260533,20.808351312994297,22.016690019954304,25.425738922501413,26.478338316649843,28.27693266163668,30.568191240337793,34.28655071682995,36.480982925276955,41.16101042341377,41.15188019350471,41.659824973313825,40.49878896481509,36.01097273650333,35.69715665935013,31.964392152020164,30.999834486046684,30.5340083666904,27.937873237489974,30.355203692785636,30.800852767535368,33.6501599561066,34.32223698730459,33.592816708265744,35.15502522639759,36.91637572277909,38.6358268697472,44.951693665907044,42.429157407650166,40.218727454311534,44.23254718615093,45.82384521915904,47.01139351428399,48.04894219364009,51.79144530295665,50.378812239479224,48.51078937825463,53.651912405493924,55.096336746929545,55.837198220883295,55.89531585555628,49.91732905155692,52.497246369422236,54.47258928761467,51.03660118265007,47.904821573196116,50.93355469999984,52.67303518183945,47.05476185162135,46.027847418462756,42.972310564363816,44.20307248089739,43.554736212003625,40.35702294998205,35.56000140776567,32.2629714896562,28.887318274380796,25.13322291655671,24.22620015220498,23.500363700585158,25.598436106342216,30.298841902871132,30.44696162440895,35.4084774996147,37.5163185002754,39.1977085760498,40.618099518919635,43.82604158992868,43.346970358797186,45.47979896536551,44.141045304432225,46.753356773433914,44.56735454929782,40.95677064932242,40.37489604975649,39.737715960002994,37.375734718572566,37.57712811250343,33.82045200210044,33.690997113709024,30.132087928257658,28.717609795449512,25.608075492836175,22.968412671249904,20.58497506394947,25.860467233292965,25.817470301496478,28.529895429329585,31.533396953006847,34.51078240092668,36.32931249294657,37.988667621854255,43.020515352695284,40.50496471529986,44.39076187287128,45.580886890936235,42.66499973026432,40.36180559118786,36.4902637220727,34.92110179367435,30.22049798838625,30.949178074276073,27.19060422392554,28.45908497185547,28.629587165258325,30.392957888915994,29.851794783300367,27.05593284867434,24.844367805969263,23.515244344339873,25.542053219393466,25.82139024170015,25.92047282904736,31.102954927100146,32.70844851635469,35.61758496409212,39.06858215842361,41.955099001282385,44.29418563575857,48.08032943371561,48.2068605310641,46.84991042055759,44.176982325317184,39.64466285449919,40.624116734358466,37.360164094367576,34.90390792118968,35.314398428235236,35.97787156987425,38.75917024350223,35.55467493885897,34.33768047378937,36.71787606991383,33.73336567682772,32.381286689044785,31.02908130022118,32.32208015870233,28.977217482979896,31.648992382538832,27.89674032216957,31.33067288230596,28.41661810552997,27.389270479348188,29.7929421620385,28.720496012777225,32.4459011747968,31.60274789816128,35.598775220082096,36.89660930727963,36.28215757563206,37.17663279168444,40.44608998309771,43.656855441092056,42.995080197501736,46.44448639451378,48.946101281341846,47.69666656509373,43.60907560137825,43.61126824702014,40.321583097096465,42.18253919449509,41.75117728960392,40.71988720213938,40.858348360318196,36.98162534034591,42.00568508613404,43.02716984847215,45.18670981746725,45.32539804372478,43.08460232895742,48.444196294068405,51.27340992307185,48.40575763210569,49.349566168595054,46.525890686847696,51.710903149029946,49.73299220705007,52.88296063698388,54.349279093623835,51.412388229501374,52.23250469648572,50.88969846557301,51.92746763906557,53.286084806040726,49.07688981438705,50.48253755404276,48.73721577065301,46.023135105219225,49.125786085234374,46.11336892895672,42.892774933876474,45.564800277185626,47.059003772216876,42.281379435502515,41.54485434272663,45.2592056313351,44.699287234434834,39.64747660713985,41.75328230785895,43.66132416928233,39.45759647530816,38.042252287482896,42.50979733193247,43.54270585102162,47.366166859385494,49.74852821961453,49.29097399216387,51.51041997497393,56.393141366248194,58.59493799667591,61.109667772944306,60.71158317572046,59.670829107243236,60.96357054095997,57.64183354699406,62.19816971941927,62.17643736782057,56.42084983072215,58.43410725236446,62.88162110925968,59.61918302322831,56.695444208525295,59.37323224616171,60.834025164204924,56.83027856852872,54.4015808058828,51.79839986105353,51.84820603230506,54.700457923801615,53.43876441683327,53.71031195659835,55.16712540006133,51.349682409802334,49.64634835251993,51.106331650021204,49.30177438862369,45.249812900482155,46.08012336821025,46.26712253425997,43.25677604433814,42.52132177962687,47.15828438212671,45.73746014195942,41.44443224299244,45.147322872007635,48.86422287232481,49.423132339330195,52.03141280149151,51.15258952961409,55.51626689234026,54.59765457850488,49.79529754187038,53.44830425917741,55.83975625442985,53.06459991337008,51.84653055425468,57.81546210870178,57.416789091652845,52.5407349686429,54.574432845758935,59.5982875672688,58.023503536339234,54.39868075134108,49.80272779687485,53.99230802405021,49.864459769951665,50.16148735129302,44.90395296808863,44.062978810862404,39.2834159754714,40.10312189443048,42.02295478819679,45.49798576006975,45.48034736657349,46.110764502243754,41.32055061326934,43.111805847940175,38.04027993707729,37.27605712962976,38.76027362676223,40.07013361587145,37.05685476329359,34.33893441188681,36.117360046575115,34.43877432355305,30.183712988481485,31.366847690261064,33.80225750468778,32.15431501501621,30.781612981373424,30.02056103873763,31.478932439057942],[32.50866963416709,34.09412353856673,36.589702821669256,33.23869105048977,36.35372390329384,30.770621640548878,30.181373616426512,30.031695771536288,25.42261685495705,25.648979643658823,23.4912379944297,25.090646067829155,28.385535618934068,24.905535804126046,25.891390895942042,29.20619557995471,30.707157400948827,32.58804216761659,35.16649073136945,38.72865938006495,41.01642495788294,45.66001337414671,45.75353219680154,46.397883386978634,45.18834216859814,40.71972397381773,40.29108386491002,36.479436369989564,35.254651729161786,34.41779678820412,31.672189895620768,33.72886150702187,33.81074731058703,36.845227026443055,37.82512377965623,37.494601237935086,38.862466748438116,41.09868696892152,42.94183559376244,49.184532478043955,46.917767278786506,44.71924494890371,48.67930742473527,50.40291942422908,51.725069024317484,52.80109920687162,56.55124032357902,55.019270145843706,53.11403233191122,58.2996117926813,59.65488118155964,60.322164240786954,60.303581271194524,54.29698721184768,56.68992717610104,58.73733515153984,55.44763563104854,52.15214033563714,55.04921657560726,56.998024577703546,51.38467330135612,50.13398097748894,46.91417629731372,48.32596465425449,47.868344069828346,44.59177428526488,39.91057389129278,36.49247936349171,33.35795490757677,29.445731442123005,28.757587490421873,27.8956075508923,29.7234286920069,34.47263632817257,34.3973268443611,39.05927413573747,41.39811012001715,42.718054948259095,44.32639006885285,47.705966033665625,47.085799990533104,49.41425964663328,47.79513657830123,50.57396920261541,48.616200165402134,44.89576924483045,44.440552923990516,43.42072234103878,41.30654299577356,41.01768777828054,37.41325307150977,37.03573622507459,33.42375250872254,31.79550926697979,28.94319305661305,25.992451961917112,23.943957252711325,28.784946609901926,28.612515868893066,30.60575718050246,34.334457195470996,37.08383732229498,39.42359940841768,40.95439554207165,46.26868025113211,43.71433177307566,47.389597843775725,48.73385296460259,45.69755678509793,43.28951348838684,39.4730924387814,38.331024543836655,33.63404437060221,34.81044963613559,31.29190690158092,32.826322890111236,33.1661912792945,35.11003696794803,34.65224819331608,31.673577058115644,29.56266245489852,28.067579827904364,30.101315377911316,30.094861745009194,29.790997403762972,34.978651147346085,35.95087333398805,39.15155617741489,42.45420883285662,45.42753823616832,47.794171394650384,51.499588682214956,51.92984849728968,50.45555950499098,48.02471294180744,43.53093607311981,44.43004100803478,41.45791698673651,39.19708432093816,39.71723748332997,40.640500490042534,43.501955596919736,40.266003316508005,38.90843329979188,41.218683592043675,38.048626020415256,36.667532864092884,34.99119166849558,35.978165315729655,32.35549844697075,34.548793696619775,30.414759722577283,33.35370495074037,29.713288582343043,29.104826527242132,32.0387139880107,31.534697412838103,35.29445139669702,34.912890499702186,38.9478009482379,40.723152667628,40.31032939392872,41.47404396690642,44.706835510788444,47.99950139549483,47.45062713121353,50.736053086514346,53.32412302847466,51.89964866138605,47.87066006517287,47.754119904671605,44.536331437089366,46.315813429590946,45.740257236782284,44.598230548784876,44.4347834368633,40.57829121486156,45.39457355822911,46.78902849123363,48.82130671650826,49.27536447302346,46.72443133755198,52.228548867350455,55.19178059397951,52.457825497803114,53.565989725105,50.84241667850896,56.11225300527112,54.295509058083,57.328413165083695,58.756697332796975,55.7028881128001,56.406163308860904,54.91459198433435,55.78309656147105,56.9696332739118,52.6649456236912,53.810253805075945,51.84353118795399,49.00182658852697,51.780381867315455,48.58811481110748,45.56796953309263,48.12487634345185,49.268585759527426,44.440668135180005,43.95372395332873,47.33819192492098,46.37610026123877,41.46064811150943,43.508846362758575,45.058223163273,40.73347451239449,39.50971280120144,43.78562123909598,45.1812224327469,48.595434755471196,51.589549391260455,51.1460709213435,53.0691474872983,58.09744312633819,59.945488728528815,62.77879104829386,62.36067112548097,61.580653926960906,62.96543961201692,59.81224008438757,64.5115218711277,64.43392449434033,58.86855026948148,61.01318031152695,65.52394471889376,62.3111587969237,59.537356707385314,62.41251215956032,63.8334895009343,59.762468358024734,57.66376639453427,54.72585810703873,54.81510466856249,57.47931084726355,55.86678784876933,56.05697056485174,57.14195184254631,53.49074915561885,51.963456294475634,52.94596047597659,51.00472490177688,47.23376352466669,47.93288661084987,47.67063480317743,44.56397456923285,44.01476612518072,48.40272501422303,46.63868679868249,42.368802230451365,46.200383568302016,49.78677335040376,50.67465157030448,53.41851493653181,52.8606445748202,57.26499502391945,56.14228680464138,51.62619799752687,55.516872487253366,57.799701157376354,55.01391624726982,54.186476827711196,60.119013185123194,59.58315370670338,54.90562638859086,57.21798256664846,62.09724867650077,60.4266207007663,56.92410313842196,52.31617630221297,56.49101898104856,52.33394939665475,52.24128088768702,47.134572454581075,46.28750549433426,41.46533256981334,42.494665666932924,44.65774929134559,48.244177814180496,48.41905676951628,48.865421015157196,44.281850101354365,46.1706945524995,41.22515664423758,39.9193160118509,41.264203014239776,42.1852140251396,39.21000755347752,36.752022910844325,38.060617574357224,36.05634091525866,32.37614703937112,33.278367666294265,35.129822919712986,33.1897458386374,31.883438479507213,31.12513114401454,32.32182387351126],[28.4706373469345,30.125352006672426,32.86159328211745,29.52034489567577,33.064098805990376,27.572432959158117,27.43454119489923,27.689792414039502,23.227690698177785,23.925651654736903,22.32570048912558,24.135107750236457,27.37098978263797,23.896485835351,25.721835125792254,28.96667377041139,30.119547564191812,32.56064605810066,35.19671315407721,38.746105427257355,41.26672560598027,45.879036936491595,46.06966686198718,46.445684183844804,45.00955273246777,40.453531438851925,39.749317429468135,35.79781005472495,34.86603384669709,34.01103101789349,32.1549061616792,33.75523864904222,34.382528027443875,37.73376204493041,38.22446431793194,37.69598664338182,38.65988956799427,40.76920661083757,42.31957477171848,48.656192964600834,46.19968031001868,44.45919111739151,48.579606044083135,50.00814581696815,51.290999789898635,52.033079824202304,55.94042449362666,54.577637593972156,52.281229439238615,57.38176216026231,59.04636830116256,59.67830448657375,59.924357571754975,53.75884868811012,56.32026720681085,58.66966237456808,55.35739020362038,52.09372658174179,55.277688242236145,57.25258099031553,51.745622115929436,50.89199654266538,47.83233544363716,49.361659005325144,48.54255526641143,45.126697287137794,40.61877540041302,37.124969219767266,33.93246617466802,30.08559752945697,29.331524884734755,28.998797328220125,30.959367209495493,35.70266618919958,35.48765061420994,40.59149550504653,42.40007681912006,43.95420395982891,45.14954486153529,48.25078271275245,47.32542185722328,49.29690836371519,47.44101082995505,49.91320700213075,47.82000502188537,44.383729399393715,44.335176859804484,43.49705396410871,41.704865537606764,41.89645445656896,38.4221778318162,38.5916423370343,34.83920967293013,32.99355754111668,29.636173049507416,27.071460981628658,24.405507741385087,29.0769318637138,28.366646094352237,30.19421449833719,34.01151053476932,36.124686944464855,38.67456375218877,39.59411314541227,44.778768589846585,41.82289223697375,45.335609374413224,46.40844786930094,43.10473854071688,40.9659864957363,36.91096653939313,36.1409042003501,31.42288141122715,32.7259028702163,29.65589107422388,31.12235250104456,31.99798075318837,33.82961924987931,34.1362091949473,31.21834582412528,28.795114772949447,26.921853675197617,28.376045956180477,28.052035400116036,27.41292984703983,32.51031042938299,33.09967046481259,36.60541146699233,39.84328258735357,43.16076802128795,45.14399248827569,48.97572103142811,49.572956860608336,48.38045789013959,45.7663325730085,41.27181495778651,41.721800234795474,39.04030585705988,36.888874033732286,37.805227688903145,38.899097247540766,42.15013745188946,39.1655799101032,37.5650531195477,40.10849373256583,37.06408605887411,35.345140982574044,33.65748689025191,34.384581128646424,30.589477421090223,32.6218956124039,28.63183520300105,31.74774637197796,28.145717587278,28.105227470775002,31.01064292699678,30.449990586625336,33.90607867495752,33.871000740258175,37.37600725528959,39.08957909407558,39.212043212857,39.990308593302316,43.52612691159256,46.444262187511704,45.59568254918372,48.72982521764588,51.194826392555136,49.48341625045784,45.52268154702353,45.45566867290605,42.465512387882875,44.567258188589314,44.20725946704534,43.36369547132264,43.292585312838376,39.73821959575808,44.69366142615829,45.92741621024237,47.748650682606005,47.92542637572335,45.061651291314405,50.5061421541504,53.463525276000446,50.75528556568292,52.2875127860185,49.84052296434383,55.07090334175673,53.04701630383972,55.91706403128413,57.091038303782796,53.998336482910645,54.359851072868445,52.67102452218518,53.39074646400728,54.33870958491308,49.88489176359212,50.93886944159776,48.72905000589708,46.051700259609305,48.626849142525224,45.570628093607,42.49902462492342,44.74131265536907,45.90661093167097,41.0971211223046,40.333811081133156,43.67076279968076,42.8720560713439,37.76951090886739,39.637611803564766,41.20993780299308,36.96224919361158,35.51475745171554,39.68844955061837,41.101228906512254,44.57209196406982,47.50316762185567,47.226004245854895,49.16746352108652,54.25189300281445,56.08306412408583,59.01920357026051,58.796999756040975,58.13399170042423,59.69691076422292,56.705472547061476,61.403300031070884,61.0867524772693,55.557746674850314,57.91540212979519,62.28965376731255,58.94395678727779,56.31991329888021,59.33889466345856,60.494822514297645,56.33631463778611,54.5659142904482,51.47450323410634,51.941588264056634,54.575745545383235,52.863018093426355,53.31317182538145,54.41124667356111,50.96126583356607,49.170865755240165,50.01158131567529,48.33338597842816,44.50186314013813,44.85487554954793,44.670254573865066,41.5967811411338,40.755252668975736,45.108806386329576,43.41914486485037,38.99710249928875,42.63023875589432,46.26862151364145,47.082405625650225,49.98997865361971,49.577979048296164,53.93188731519267,52.572046180927366,48.046076219238515,52.088251464732096,54.17366655270884,51.28417439905275,50.60624755356435,56.525771894688525,55.76044900535814,51.10828001967229,53.60583945900303,58.37093277268807,56.53302991020204,53.04890771451584,48.40534441553102,52.47670588689769,48.26285721045676,48.09461300707147,43.036496334990815,42.33917057640194,37.537716628116,38.46444556915272,40.770219743498075,44.361465189990774,44.7242856852698,45.2532731483926,40.89258523889601,43.04619417262111,38.20832864053329,36.68634629093357,38.38492645398092,39.23465273112051,36.601162329641205,33.81997223476312,34.80962688220493,33.0466464642926,29.447481078075715,29.809546572003796,31.694193637897587,30.055431454986337,28.90617041974174,28.427002103913694,29.767462103711186],[24.9357047571497,26.841402696610874,29.81656689278834,27.019799804551468,30.687945925454923,24.818889770768436,25.10069265864565,25.1126301067477,20.985895868574193,22.513507538831472,21.12630454137002,22.44136292101777,26.214120313334725,23.30854999491364,25.363717313634442,28.364801283761995,29.767145232655004,32.69565256304032,35.82902324001273,39.03750374624702,41.9385884680466,46.408216742775366,46.93517926987628,47.35315393153547,45.551721586731716,40.99919727495092,39.842731661938515,35.707659773162,34.59726062560514,33.2907244364487,32.05010615904162,32.86588964822975,33.64348455936713,37.40519822910847,37.707941272646266,37.42960211438266,37.83340496156478,40.36714302697828,41.859875616968495,48.09851933602581,45.92053034433124,44.55052023901272,48.684186877046905,50.09018235698405,51.62209978884409,52.21707633614655,56.22628201835339,54.71708001657522,52.08995525540579,57.20108028626559,58.87857176059424,59.35117316812873,59.66675186113796,53.37017470105436,55.77624548511994,58.457944814119784,55.368568777783985,51.90578257767234,55.1475289300977,57.44591631120502,52.08704243933123,51.33433272919946,48.24759630906326,50.19191595106459,49.237590876593494,45.550074990590254,41.48279155893589,37.725531435815256,34.92727366263245,30.92388051730494,30.515851787893254,30.689199251337985,32.24654575534274,37.02236928688109,36.24364555660098,41.465244173515075,42.87843919218214,44.25658076903555,45.188822442848796,48.17684181209448,46.807070423351995,48.67569539011296,46.34831088115861,48.75644643912774,46.85593954659678,43.51166718251863,43.924596746274595,42.813911538093386,41.60732515867914,41.74019012914585,38.60610077259122,39.14978669196048,35.221784576700074,32.96021418914216,29.390502614546044,27.004563160162206,24.117493955831097,28.13224448561783,26.90272729081313,28.062216839672654,32.36998016251903,33.84481507424343,36.89440370046802,37.33746419671863,42.64230302765404,39.51343947721625,42.7520834727578,43.880625206090755,40.452520892034414,38.28727049599521,34.285524857851904,34.01319084990862,29.380553312615618,31.20690040986972,28.632631380523613,30.46063072245571,31.764350620264114,33.92248200479981,34.79373458291096,31.542101226664727,29.18578415080281,26.854104439842086,28.193091126548648,27.298225824585614,26.036222373399546,31.007946584071487,30.798912234042223,34.56764456468292,37.58625636294787,40.99316903660251,42.958166389201104,46.66499238372087,47.61870753336618,46.346631479742776,44.01451884438913,39.624413534563104,39.996499881078705,37.763315428327566,36.009132897280885,37.05862918755835,38.75521127599972,42.1711027148346,39.205788655912166,37.236615559604026,39.70049173074719,36.46638374794825,34.57400886353832,32.48194259127642,32.735795870964765,28.662436401988156,30.15527260119825,25.99885351364316,28.79910686682968,24.85995731108402,25.393087949658238,28.548247903102823,28.37434340496407,31.621092144188715,32.169897043627394,35.38040009549448,37.54133574832893,38.1423649256451,39.10479447560828,42.66819774604326,45.532223281789975,44.844982223549685,47.62871036165956,50.242576527354956,48.262123736694484,44.4453587984122,44.14442609996141,41.304073135004025,43.30521075315352,42.82988466047408,41.99743184649088,41.65566751897026,38.339858578393326,43.13222778350186,44.61653083942915,46.165941887677945,46.54184630214534,43.22560234411718,48.757234077906425,51.84721191151377,49.336547329946995,51.24129768646734,49.09241394964201,54.39235961281169,52.56840303250221,55.141991935709136,56.172228380329564,52.89614793854723,53.011623350624156,51.10014479056085,51.57402224844129,52.29868931917909,47.77806170365712,48.52252876185409,46.133376735701916,43.31824424673414,45.59982882682601,42.40265067538822,39.52612933556709,41.71396106987328,42.57504834328292,37.756559727228094,37.31265823629054,40.36415836993356,39.22936217727937,34.32025316183297,36.24362881381524,37.55980099944067,33.223608822720244,32.057463663059735,36.1912257085507,37.81282488984121,40.95227682193885,44.341511270506615,43.897417170170385,45.614984815423284,50.73407991953312,52.37360893035108,55.417339225169215,55.099624581891796,54.56243999395782,56.14587695712583,53.26124860319127,58.04258267406608,57.719460577003886,52.350112829953275,54.76952433545775,59.199392318045994,55.94774840652271,53.43303430983688,56.599116540504,57.788498413374654,53.62046972354855,52.09936427019622,48.709458943410674,49.150039486879585,51.600823390372405,49.616306431669955,50.01842440865763,50.87075838300855,47.575374000047965,45.871492059817555,46.385985184039775,44.6690809069862,41.01375442277531,41.25563192802916,40.82173009381004,37.71551700046664,36.97481418287652,41.185517104366646,39.345840740275534,34.96218508670411,38.68023650951192,42.2408499142902,43.21673345428622,46.140981023827244,45.88261590204567,50.25195595123966,48.83434143196221,44.50022303262216,48.63881091105266,50.707436215062536,47.872661167799905,47.42639352956722,53.29391983952766,52.55869057043623,48.08804707353446,50.70883029834002,55.38683309208099,53.61682909803602,50.26661844005226,45.69068054510063,49.88527568139327,45.79837940488954,45.26107654869609,40.33538528561983,39.399625114525726,34.581969879360045,35.90642787541238,38.26650401591479,41.97132259594563,42.33668038527683,42.53902346052479,38.31922714324428,40.45349467444053,35.788944245679815,33.774939443971746,35.302847269927796,35.84842461054049,33.31065457900668,30.718886497770626,31.352835525003233,29.389586791341088,26.234449106080415,26.43015550081595,27.90591306468251,26.110857277846417,25.044200456009765,24.6656276013307,25.9329597052136],[24.005306588795676,25.602201583104705,28.513134812541082,25.059376318102522,29.0782131154926,23.905768538729117,24.276448808881437,25.164766487608755,20.97566070781267,22.08569431896404,21.28522455947962,23.421126578372387,26.29050587604396,22.84412721702066,25.634235250760494,28.717688563433306,29.328315309725134,32.32088830697572,34.885552354075756,38.39810171681785,41.106586316506174,45.63347717296067,45.89603482008336,45.934412471576515,44.28213980292298,39.68536737817544,38.714561852294786,34.692149761060975,34.18553884703253,33.423513797040904,32.619884375023254,33.780467716544834,35.06407078404141,38.64163114817123,38.538341404660734,37.70722624900538,38.260602557893115,40.073510908896324,41.23637088519462,47.625605703770745,44.90852087871756,43.704296845384704,47.97072232847251,49.018255459994016,50.20359649951642,50.54564801412053,54.599163613123274,53.47642525649391,50.76486259191601,55.71550076997963,57.74801669065373,58.357248183241516,58.921235796413406,52.632066904156815,55.41214640495096,58.05873560668978,54.70722827937886,51.549943490478555,55.05410362379839,56.985626011302905,51.63858424062488,51.27521492880598,48.45625956214897,50.04348663911308,48.804748856924164,45.3018564058055,41.0063288384255,37.52336493355292,34.2691973908633,30.626619785687826,29.76737482580149,30.01603698883956,32.13095633395846,36.75380782101041,36.46044922790243,41.999334489972846,43.19011325842758,45.05351682556518,45.76323147499445,48.494133540052665,47.287917335209016,48.79818155799801,46.77083098350322,48.8289189252717,46.5422928819902,43.49755136407589,43.87149000497747,43.34178831563475,41.858742130063646,42.67491683455822,39.348530456079885,40.12478491096209,36.30653211318548,34.3284612036293,30.476681659899057,28.44474538948467,25.165075974382308,29.60639431206737,28.364149392009267,30.130764066063,33.786307559508856,35.19542562867677,37.81333750726275,38.04208656810659,42.936724599478595,39.53881107210421,42.876446269745244,43.564348178410455,39.98344114002902,38.23338034372168,33.90044769793624,33.4970773005359,28.823651066341878,30.140326225677626,27.638720006355133,28.90804691000251,30.384648768914577,31.984248605913116,33.17005589851095,30.44589262539289,27.69379233149662,25.466960516917787,26.1371409758738,25.49065103857411,24.534123441869614,29.415843434799154,29.670847697526888,33.45903197721026,36.62448402184817,40.32680690464174,41.80077486383834,45.791559094550266,46.50704359870562,45.70462569395318,42.81376823308077,38.34578042685682,38.23586753649155,35.868030720518185,33.82027961914528,35.20354053835668,36.413381889939735,40.07931062215392,37.450430241960035,35.62430920614035,38.43241299600396,35.63656127522997,33.54991815055167,31.969142898957216,32.447878661293586,28.58700004509879,30.507586156864594,26.883787267090753,30.279428390200433,26.99866576667232,27.520334800387882,30.186114973777578,29.428553321046945,32.441420357473724,32.6993401518793,35.50026169446256,36.98560847655563,37.69492601023496,37.92447564720347,41.790236926122006,44.20741441137619,42.96536627736348,45.9378480440808,48.20564605545763,46.19929698097703,42.33354030204201,42.36758962420556,39.66883757333564,42.17416027110261,42.11974545697874,41.671345821143774,41.789895515724666,38.628236632002356,43.730633000204215,44.67118328825514,46.26359242954163,46.029798634560976,42.90502195770246,48.19107066184104,51.08345590176769,48.38791211990994,50.36502329587738,48.23311070007617,53.35098743051308,51.053102909940336,53.74689139173165,54.62248277149413,51.53712331928393,51.51775099935792,49.64023013822156,50.22097529975672,50.917180009677644,46.323118036311925,47.33183203712135,44.88205963977112,42.46805903857485,44.86094924054474,42.04633276177482,38.86852821762046,40.71689181946937,42.00798156783636,37.25956170958015,36.049724297882285,39.409305378842575,38.95072402538487,33.57525589859317,35.201741814058096,36.90856742886087,32.81953145308669,30.99955757794167,35.07690009523682,36.40314993835867,40.06999042453207,42.73052255131752,42.679557295865486,44.729529749070544,49.840274852367635,51.747565596965885,54.723200894969196,54.7580975065995,54.172708765034095,55.93165882820695,53.10559469992852,57.748264678908235,57.14861740440401,51.62586905488142,54.209906864102194,58.383393356074194,54.86237608002426,52.39270070553052,55.52899147308474,56.35719540927347,52.114073129723195,50.674237027705495,47.49211411322563,48.430983538158586,51.06901520006224,49.33536034738105,50.131129457733586,51.34018550481885,48.11240917030002,45.95753364871232,46.7474198087126,45.444045335028825,41.48566840198433,41.4314608713265,41.47163571023767,38.4888579237115,37.22122134208967,41.57434779029056,40.085588439396915,35.488463031133634,38.79915512537794,42.526422880047704,43.1485112106627,46.22075826354998,45.908824499451,50.17150540229861,48.56796385459431,43.960983731671064,48.12127687507727,49.97619940176965,46.95938400442268,46.36763997206527,52.26862610033643,51.243371533286734,46.57146248017738,49.22973033750914,53.88005415411162,51.85055051568368,48.3559046287333,43.66952327068693,47.60051526867621,43.31403969461154,43.16423547609498,38.125272278913506,37.64640272076621,32.894071849760046,33.600760128282815,36.03502441640908,39.593513277145924,40.160429201960476,40.86016747565588,36.755745674557744,39.22704867989904,34.524978229763526,32.882105042077185,35.081439697754696,35.941678430446316,33.766160636082084,30.516636210457854,31.201010229886347,29.878472915116298,26.27320951194045,25.95288944960118,28.04130421916313,26.929015336516382,25.997939890632768,25.899854431330194,27.47467259955485],[20.283917372517482,22.596279047961733,26.26260124026716,23.896510895877626,28.377653564609236,22.751520034711575,24.059064990614164,24.607875421902182,21.184256398511558,23.588902721608648,23.102564194151437,24.382887001310955,28.013500670590624,25.458058124165053,28.356739348641874,31.06980629437812,32.07808918603161,35.59030878851228,38.744026276877705,41.80765584349544,44.93774834981092,49.267031872754494,49.924265077650745,50.03653915010229,47.979518278393755,43.42800457252562,41.92457679195368,37.720890905748,36.957053783245456,35.576439516112025,35.44276900770175,35.58209702364721,36.906636259498825,40.96842656522302,40.75166497593354,40.34025017940462,40.16692156612804,42.59388312351962,43.69654066139221,49.88923243569283,47.58288577757506,46.84822449096648,51.087605012197315,52.121873252020244,53.613285610103155,53.766220648712604,57.92239630376937,56.626252641296745,53.5078463591672,58.43558416561844,60.48004631249393,60.877662107873114,61.52180841638866,55.09766387490269,57.6332726879723,60.695905611564996,57.66444260309693,54.251297590818275,57.77323105036752,60.1292247017908,54.98277694730196,54.673623792352174,51.78798301738502,53.87988430331543,52.55571067228908,48.74806209579766,44.99060801007104,41.21331087004371,38.469824283572926,34.6447450003125,34.21064831980622,34.88786039813509,36.50997177666699,41.16458531100634,40.22545581822294,45.75414528856702,46.59921575098585,48.14040940969653,48.61509340575052,51.25120246972729,49.48738786316779,50.91124819334933,48.23388664530514,50.22309651112095,48.25236211516776,45.3410795344313,46.31700922073492,45.35991865349433,44.65307514845868,45.24092168985509,42.36799992928107,43.45234327957944,39.456582726105246,36.98444555274844,33.04597344598571,31.126815703660906,27.80107871710149,31.281523744498806,29.40949407849739,30.0457474388186,34.482410721976976,34.91531595347468,38.327614705976615,37.82029851375319,42.87014226574998,39.208932568246254,42.015247988987646,42.75484310972075,38.93593598442253,37.222071701074036,32.99875819221309,33.52889407710151,29.09160835567507,31.210374622411337,29.539791236076407,31.26722552363431,33.30493846160137,35.27385928140691,37.1238292110998,34.03414978619832,31.426721218966836,28.70023061144836,29.17540872667894,27.769905759799162,25.910678613866985,30.43741431141477,29.311713189505646,33.55251598330856,36.28914475872853,40.17261244340354,41.49583938126521,45.278897985584955,46.60146366847974,45.739049065640465,43.284448414864535,39.03406777235032,38.66853880575159,37.08840697734296,35.65330947721074,37.28680771629559,39.271365937749394,43.149905366845,40.60527050346037,38.32447693085764,41.003799993448695,37.989921784820666,35.69558549424642,33.56739175782092,33.32010284703399,29.09433203399997,30.052715842324986,26.22214184486693,28.920608278892477,25.00030215873561,26.5726885364893,29.669500061217924,29.6299423565551,32.258604289212755,33.45855817225451,35.76544205122359,37.93569563214454,39.35642719043561,39.835914335698625,43.706621428815026,45.99618617585563,44.939221247302164,47.371981349008955,49.78618211369857,47.34992350460768,43.74968898398789,43.47738381281037,41.08340994624989,43.46935982685816,43.266626578832266,42.84686931381702,42.54029282194486,39.762483246561494,44.535293101490716,45.88168827873557,47.051426248319075,47.13385794285372,43.32882208239327,48.69495904081592,51.765955506700664,49.393739693811085,51.92946009887335,50.24423306928268,55.41821154236459,53.39476646415326,55.65316158211712,56.290847647339994,52.970269317858474,52.54077552540324,50.31151314609562,50.48138068564984,50.754997632422075,46.04470735879317,46.511649556029205,43.67542187389521,41.124542018955275,42.871353552173275,39.87769427613554,37.079777723070066,38.63094969217972,39.334278378021715,34.62200495455927,33.84445968504008,36.57153267205156,35.53014322872617,30.461920365426998,31.990960370294502,33.12431257321289,28.93471413201521,27.494263463183803,31.26616807596316,33.107308388849724,36.075268344444076,39.65990465541929,39.50361552181122,41.077661450901125,46.320258059232,47.74356485129531,51.091963854745075,51.09102124143636,50.87429659733647,52.77853825956416,50.26947156895062,55.059801804043744,54.32666526427641,49.163692693957685,51.960460176364414,56.149500982675015,52.742992273273295,50.569114431269256,54.01367669800255,54.752997601545914,50.46326794130771,49.640605602840985,45.89889162697854,46.96046988798204,49.23776257794751,46.961134169912654,47.74531809169206,48.44027978064956,45.60276778225462,43.57732087482607,43.62689908743714,42.320486546631585,38.76967052458315,38.35113382622183,37.84315542593206,34.81555211771843,33.66188128745154,37.60457139092603,35.75721304718212,31.190224939166146,34.545380942378614,38.085234908633865,39.08397526199913,42.325033650374095,42.476542894009945,46.72347391630161,44.822031995021355,40.66488365984467,45.122475908515774,46.783924319183704,43.80154103872519,43.80757233635566,49.56535524107798,48.39535840289181,44.116099153289326,47.14772822590269,51.519446908357295,49.45152057962255,46.22938838166423,41.64840924202774,45.62471544005297,41.4885928552829,40.61059493335766,35.9167004761189,35.23063039060583,30.520018315845668,31.783139165460433,34.4665099941231,38.171591517214914,38.93491845562291,39.162860074170766,35.51692490916278,38.08210376334384,33.795673517022294,31.203288755158713,33.215269683212625,33.42904054334827,31.591037491922688,28.6681666659657,28.453512879218884,26.83625975709107,24.30272525087198,23.31046050852446,24.438269638096298,23.147342667358917,22.492090923705426,22.675879896760524,24.003396972956818],[17.461015269086346,20.023082955443805,24.079620025925696,22.10519134066043,26.97470061382484,21.58989351344784,23.501170630712533,24.317242912758832,21.438581459307798,24.29757712891465,24.307751904958835,25.497452385148307,28.997701884569377,26.736773634999345,30.007559773909136,32.50573504793161,33.31845917734124,37.123047733554614,40.30640544766961,43.22477458138612,46.48826770064501,50.696073066570925,51.45732019023289,51.42089801322705,49.20085895644806,44.689557395796164,42.967958166458864,38.75557996050945,38.15820505523923,36.71546150588314,37.209451332716945,36.93743977824052,38.55087361482041,42.757343423600666,42.249104171727375,41.78872257672356,41.26714850856044,43.6485907954774,44.5314134025477,50.63691516223318,48.31238188181091,47.95567032003477,52.219309421921515,53.05120414453835,54.544595794336374,54.4514160590171,58.671182517976966,57.47162402967372,54.077600744504,58.88179302970054,61.10672364630088,61.44243136818608,62.264027218575194,55.79461584675538,58.36655257725606,61.6496001578506,58.68858838285103,55.29967505252827,58.95631797965129,61.3651710508018,56.373267032029126,56.30951015804379,53.54374574216465,55.74297917452814,54.21953778226161,50.342741597864105,46.82024134331021,43.03440934866248,40.388609714735665,36.67514199152202,36.27379577551977,37.24507917028784,38.836037276383806,43.39476822931747,42.3224830945115,47.98545302653254,48.48746283573512,50.09231593713223,50.29626735327935,52.71695340863903,50.71625797679499,51.8824496582099,48.998635683264546,50.740572820031296,48.76366368654216,46.115899902855475,47.42445973553855,46.53567801897378,46.14806731258724,46.971727471258895,44.28407853924473,45.678525507393225,41.66306693372459,39.07439103321637,34.96952234581993,33.32907994497563,29.81454575292344,32.927982462376505,30.722529356574828,31.051371000582467,35.49063836399589,35.31470325130948,38.90015828311652,37.84420088455918,42.69823056283554,38.76900025664739,41.28317528550941,41.79832249830052,37.79002667590836,36.35233483276063,32.066450851862236,33.08338223868578,28.849193338246163,31.13888557446843,30.038959829489542,31.723211687285907,34.15027419673985,36.0381923196061,38.42189834893079,35.41088912873822,32.73354035004966,29.810176858030655,29.833683955736113,28.12315638525459,25.918488988791456,30.07668560187064,28.367457377026785,32.82236745892438,35.33662387864158,39.44436252234922,40.397880744117266,44.17381229483346,45.72383290241429,45.08427762539972,42.61619410001322,38.50179162960723,37.73271316607258,36.586692471139976,35.39979970547939,37.32995744265859,39.52504500547686,43.61471217120429,41.31233551503124,38.852141453056745,41.59691049782756,38.710899539169766,36.22131706328695,34.06425730339317,33.50875955263928,29.259744934686267,29.861537908560244,26.299754452720045,28.87181435422247,25.07616613725577,27.198164729043732,30.186607975186053,30.229851885427944,32.453049463990006,34.024397975433054,35.777577946010254,37.95937234789698,39.848093887803174,40.088121108032325,44.07881588505316,46.0388736483737,44.8207369483191,46.99925319854667,49.31017103844416,46.616910798589316,43.18445845895628,42.89652694269012,40.78527057983723,43.33556711906555,43.26739231040846,43.07548031766184,42.76966907204687,40.334473635761896,45.03674604653887,46.31143091859967,47.242579553683555,47.18098761379681,43.10497540363268,48.34002713217242,51.389989058611675,49.13118647878726,52.025142407332844,50.631517850696234,55.71176559710375,53.62125550744048,55.66372457132797,56.072720225371675,52.72868362905244,51.982059714466395,49.57210240667578,49.54842261606368,49.55140237810767,44.76710471443847,45.04340414409395,41.963865982753084,39.56793019690547,40.97342583577471,38.10999950288547,35.399431446083234,36.56729401668538,37.150058393565175,32.54190455187429,31.608641233130427,34.09605724205434,33.095760406573255,27.99347585658487,29.280602387885924,30.280720340967537,26.208491036137872,24.636504715320918,28.166917938035912,30.142791241326123,32.96979062828106,36.68860646688615,36.66984361952038,38.13973272232575,43.43193945274861,44.729164047218404,48.22999916798985,48.397966591272855,48.36149884736905,50.436778358743844,48.15284192822774,52.92985889245074,51.97360796119068,46.956858042280174,49.95287138161673,53.99536966994792,50.526715554079395,48.55914740787472,52.15323785368306,52.64900607890237,48.312856570421026,47.901364932979305,43.95838981749618,45.35356361612179,47.50468898182782,45.0612304762782,46.05572296053524,46.652458567141714,44.099813933340414,41.904962734159305,41.67876756310223,40.624511557240396,37.164982629950416,36.35951179741098,35.815735675401996,32.86659712367626,31.47229828491425,35.22376196482026,33.39773259542464,28.75945964117214,31.862933439450916,35.37214421562743,36.371846513402154,39.7760384764016,40.161873320628786,44.3155840025174,42.15032070202454,38.1199974521746,42.737977421472934,44.16410202851618,41.117382563967894,41.39253729470735,47.057798918694715,45.66152380770954,41.52303552423711,44.77590910804324,48.95360705117644,46.744597733698235,43.62193365530551,39.07227469124385,42.93151174871848,38.81380488305348,37.69946174758804,33.17767976424767,32.59577230472632,27.988465162726513,29.26865048504106,32.1110003445835,35.80241612295658,36.774272400988295,36.9663685746182,33.69519717584315,36.470878222547356,32.471176721147124,29.531518471767637,31.7833214876136,31.783661628389687,30.394691378293928,27.33309031898772,26.591819400159128,25.213401932351225,23.135886422489115,21.422950384257184,22.28880264656774,21.354315805868893,20.98139150252321,21.52082263431912,22.8662325541223],[21.466669597235786,24.252539280418713,28.743998964139774,26.80968263524913,32.1960488813503,27.3998910152283,29.584978520233435,30.727156355744384,27.90299731933869,30.57345195528632,30.611844024692108,31.99341858373999,35.35665195287599,32.79172466326347,36.10647716578041,38.7550705726871,39.38657959832476,43.04798267541731,45.899271958694825,49.07914080202574,52.136447486497275,56.45045887589209,56.96946738604823,56.76689885195714,54.76898089414343,50.222238232705294,48.74052545445304,44.61303500843833,44.24727819861681,43.03399787971557,43.316431900993415,43.34778751043483,44.874319840705304,48.98083768076331,48.58110031635182,48.008747287754616,47.67999887721235,49.840356379432144,50.648124488961564,56.836676376377035,54.247230484476376,53.851044464381964,58.16886065286491,58.87595863709839,60.131451428467216,59.937301704879026,64.1581980532642,63.209202914501994,59.84351384626844,64.54960447406177,66.97166111127267,67.39754941961213,68.31707446937112,61.868884174082005,64.6001949928641,67.80907143859193,64.69832476390485,61.44704306873974,65.16048062436073,67.38251148454316,62.31982076744482,62.27922628871567,59.53980194173344,61.49252559477577,59.99301105252759,56.264498940530856,52.4470912400227,48.81599692368506,45.848074564513816,42.233452500884226,41.549282327469975,42.189135535555764,44.143852510968514,48.726383622523514,48.03219602285243,53.66759194066797,54.42038677575032,56.11955916420759,56.46515727716267,58.93857621510453,57.09607093545605,58.24995584383644,55.492482027049334,57.170981013614416,55.06845397063018,52.489020522284676,53.68750421541383,52.94647410378505,52.333846072589225,53.1900562710177,50.3255382514194,51.49361725632607,47.52062210652403,45.082241275099975,41.07105102596533,39.24044026313267,35.83336351521103,39.24849537562893,37.18955560105767,37.54510940779606,42.04635409581188,41.906009429222486,45.48902599956535,44.37140895799068,49.12166141879385,45.06916380367873,47.46366498442745,47.76022381346076,43.60996913728546,42.45005288396978,38.07828199836977,39.253154396726416,35.07570025912557,37.16177923201785,36.090700003764326,37.45725804335282,39.8823016418235,41.392868590466406,43.74152347260218,41.05886348391524,38.18750814879147,35.46014293488899,35.18735475043156,33.73011221664665,31.746221341725658,35.76904709000547,34.11951960381411,38.64810582785178,41.109130263784984,45.42412812067394,45.964386987901136,49.845754532401735,51.412821722891564,51.08383171806889,48.36793213874525,44.279065914661516,43.051277900479676,41.99178447200316,40.642468056981485,42.847836542315115,44.62440380550761,48.869157342508444,46.79000015630599,44.49134848157008,47.43308181055374,44.77074391066728,42.22870674624278,40.317792314850415,39.85858052403251,35.68282682529661,36.32154175485858,32.86684481181167,35.365399591952375,31.42937684418748,33.682326220337075,36.76221518100466,36.82685114155685,39.02326372109696,40.56642784230513,42.21900130689373,44.19006735516945,46.115938328053396,46.0240163132242,50.15610099693295,51.86671546073165,50.268500812541504,52.530036364265555,54.54778777249934,51.757113253365205,48.36486203642173,48.326435212859394,46.397430917376134,49.26610124138536,49.41846592449507,49.39345389121905,49.225696424833885,46.824741882272,51.58853079088003,52.74551496754866,53.68040591365875,53.4102341440501,49.36499647474697,54.466454735207606,57.42224414800242,55.113993904368456,58.08749420183145,56.70299096267664,61.68178107430955,59.305316054853726,61.41955559329424,61.698748414353986,58.47996120669324,57.569696366878546,55.11919736805154,55.0646920141402,54.8847124875401,50.02702654767647,50.29553756722522,46.98112198543696,44.925854179758325,46.00675469824323,43.4106618749651,40.74042141052935,41.34807886801315,41.89566582442703,37.49990997932589,36.09837484728063,38.31417533181176,37.53564239583777,32.38997558872798,33.10954035408611,33.9049991034825,30.21002279526191,28.24903358502451,31.03185325917587,33.18631266315472,35.79004415746526,39.483976516488845,40.03698987934337,41.35311134495669,46.70231026801055,47.67297429054854,51.557814781612215,52.14770916652436,52.48249303656669,54.86308403901814,52.95497435448474,57.669904342097816,56.327446738458185,51.5418032765054,54.83571914927137,58.58231466184503,54.948295434943454,53.292678956018335,57.03130405759732,57.044053857356595,52.62892107822562,52.759695262838115,48.72870971089475,50.671529836165156,52.73728019516002,50.166566685195704,51.43848748538183,51.89558068547296,49.6871118075558,47.33161136948142,46.75535373585187,45.97055250409837,42.69473954983213,41.44203097020072,40.76952439704966,37.93182044363566,36.3142928594749,39.64927018296116,37.7427424327403,33.1270817565525,35.77613601358176,39.094350001425916,40.189279747263114,43.88360385950828,44.71608902082291,48.671139110000205,46.006885007250624,42.26670943961179,47.12313451047381,48.06405141452728,44.871054251071875,45.58845658813211,51.055774105991944,49.101631564959106,45.172562504164134,48.804110659463866,52.59826510109668,49.952013562957056,46.94247688332911,42.39830880149812,45.71898174102629,41.43316229380627,40.205515647415695,36.03151854323152,36.104416583223355,31.80567643816088,32.52369098402871,35.698516793319584,39.178925132025114,40.66694475084361,41.20274495617893,38.49584681667597,41.6390952648739,37.88931951285986,34.86422565128523,37.49187327743984,37.328522763380384,36.353109095473194,33.164742425509345,31.952547735245815,30.839281152666544,29.17143079048032,26.804017478867028,27.363142122455006,26.737443968484378,26.551453953053755,27.190005912329717,28.328434899161056],[16.64713455496643,19.79163904134314,24.464172109533273,23.482397496522026,28.68264124190455,23.597702599244375,26.219418211519077,27.00332858275351,24.87878848955596,28.275097568808384,28.5680601457322,29.361415020717754,33.01080450634597,31.202190358617123,34.54656536001125,36.81329387712128,37.6829153419041,41.69967133377577,45.026357581492306,47.74175739688215,51.15344715938308,55.230523072115595,56.138471180989676,56.04841090284043,53.66352295965197,49.21398898880728,47.26315899871961,43.04051785056789,42.44535775686218,40.783644235271275,41.700796434470156,40.92629834778546,42.59374508578239,46.98479788772231,46.37100885189533,46.06978226725187,45.15636133248452,47.72728238551037,48.48065772216037,54.414782512207914,52.23990145446538,52.221036943242524,56.45728940416732,57.17942364351831,58.746761687852796,58.457059896525735,62.719151316116665,61.53929682428978,57.88805936331257,62.57312694685166,64.90217995636924,65.12857073443244,66.07123402596477,59.57235187652892,62.05318177435454,65.57785158710593,62.779646244083324,59.331547118299696,63.03010831423632,65.60463830314046,60.769968233045674,60.81441136462082,58.07829910525729,60.471112263848866,58.86195646891972,54.886413869995486,51.627646520081214,47.77663011129667,45.319481069293836,41.61671890611011,41.32976709275638,42.456717361138416,43.92179897586424,48.447145384241175,47.16257198197809,52.8091489290216,53.117963957458684,54.60344539625931,54.650371692797926,56.95298113309069,54.66457232016784,55.69146138985308,52.47633451328525,54.059867656264345,52.23411989132101,49.79217262490591,51.45794502426257,50.43153981819589,50.460938546369036,51.24770566461363,48.80704435054168,50.358176944827704,46.30367272686878,43.52961186151071,39.42441722620586,37.88512126338111,34.396657846580545,37.001140200633024,34.50007165211098,34.175486103484,38.904826792687906,38.03610613816243,42.01279391890009,40.38327757193735,45.12004892302914,40.995365117744,43.012359986753,43.397435032649085,39.22269696929923,38.031218463841675,33.882720481685936,35.613742254031045,31.73217865903892,34.35350028127091,33.87512642461673,35.62688386381459,38.371542568299716,40.26803083504672,43.05642952317579,40.033514602493476,37.38723426011857,34.30642940954773,34.04285330286406,32.023083552574505,29.434541156386278,33.11140566558498,30.54190196693527,35.19236290802231,37.30059187363628,41.55432206478108,42.14680765050285,45.75991868432422,47.71775191673607,47.225506660277105,44.96496192839006,41.104073993623004,39.939631035881945,39.4171484649534,38.60705506604171,40.79443654436096,43.27876790080566,47.51980999577154,45.42115585869311,42.77099454188784,45.486283118389984,42.641485545901375,40.02327266046988,37.708430707232665,36.734785283366264,32.444553458688304,32.41101032786196,29.01038893335133,31.02208132069835,27.041936034580168,29.886366386423376,32.97476705713883,33.42112250559314,35.229456638299936,37.35850400646207,38.59821850708599,41.03047074345701,43.40725761122105,43.59809130114494,47.60728793216325,49.29752202126554,48.03296758517588,49.83669573311428,52.07738751992354,49.073896217466974,45.90639801315718,45.52488235823002,43.75895482401952,46.34804074646234,46.31099844889875,46.261095210699644,45.77888945427191,43.708790601079016,48.15886675308413,49.56734349825241,50.1840362425617,50.18156519013164,45.721993365177994,50.833210517150526,53.90618210828474,51.87652747770909,55.17607619396647,54.12833915533456,59.126137361262415,57.09967612017559,58.840516958929,59.008271450778444,55.60042112232409,54.48655915539666,51.839468773653245,51.50966063270721,51.12211404448034,46.29236397754903,46.17401041616404,42.7551248944993,40.48633373454329,41.2300721680852,38.447465238544424,36.088758096383124,36.7120886777779,36.83860507593626,32.48003366565366,31.64734525246005,33.45490637520443,32.16528686070611,27.399055015316854,28.281061795400337,28.705601253405366,24.85742772341707,23.440288989991377,26.257574267507998,28.688671314973345,30.798746768022692,35.17523208217469,35.31849444260561,36.33336929914677,41.68521555544446,42.475904844285616,46.38646541427486,46.72942375929301,47.13096088177525,49.44408633728023,47.595958256513576,52.38844972012102,51.14736653800981,46.554113606381705,49.816472435124666,53.67537046310267,50.24431545314494,48.66275129437865,52.501293707387866,52.69906345369549,48.34894450738742,48.64063496150323,44.31349386857564,46.05432987295451,47.875857372613794,45.025017848655544,46.16673876427507,46.34698589698067,44.304236969099705,42.10919448079612,41.18958283330865,40.34453438728626,37.31538371704704,35.9851462792781,35.02895657757601,32.190192599000994,30.72875776637216,33.882133354000835,31.821767886997232,27.28812113633775,30.074248017148577,33.30496747052618,34.59230882671697,38.22922122792548,39.170225183296424,43.14925908373556,40.54000867069536,37.028164192692486,41.91200082544893,42.94070070595731,39.88782728593626,40.807432917070976,46.19664993877651,44.46055133224725,40.76447620342499,44.41282465577695,48.16243557124663,45.76881336225211,42.9415601778171,38.55452104972457,42.16831204633705,38.181727985239,36.46633898083159,32.457542964754246,31.992102203431095,27.697967898686997,29.14531536893485,32.22702903858405,35.84573714322569,37.154613181768234,37.13098943066779,34.5517912800772,37.50276952626644,34.047495197597065,30.474904943518496,32.74533031224119,32.19760511953229,31.383385423248537,28.552170429948948,26.89303623615242,25.567995013774816,24.6254932461542,22.062734049259888,21.969996229490718,21.22824666559491,21.23447620187504,22.11551358066115,23.149230082613766],[19.79376081696538,22.866742124208304,27.163020338656352,26.174274904595478,30.789869731247236,24.951759517930103,26.993360317233748,26.998647884173625,24.470062387258523,27.78986144155756,27.39091710686549,27.758784399024925,32.04407804296098,30.32041137391404,32.99201510757623,35.35752491394156,36.82949377952799,40.59095757605405,44.22192169406883,46.882879204082364,50.30548414936528,54.45283524199567,55.434228587623764,55.6900163430674,53.346926556768686,48.87632255407408,46.99169967180609,42.69641476831577,41.61489679832969,39.674737975925,39.86933290956124,39.17779202729822,40.31830205853167,44.71091141150058,44.563023205823704,44.639770335339826,43.89627261948957,46.948492690083185,48.08156701342503,54.005233782570315,52.174421261749984,51.74231988478959,55.885258825077905,56.994634140509895,58.77640673155261,58.84999858671325,63.04236751360204,61.53895641820313,58.16498589099699,63.07132714157203,65.02587279682376,65.22279240081713,65.85934294517916,59.38414341000556,61.60303489723599,64.97020867617377,62.27640908059223,58.61574304570048,62.04030747896211,64.80190261097725,59.83181281122529,59.441197364046396,56.44711819457352,58.97330509176891,57.69392021606808,53.65902534962837,50.351135354750475,46.34810500694883,44.075033682994714,40.08827373577177,40.020959377046104,40.88239129921576,42.06903421371922,46.742665845270714,45.283631322534,50.62904004300842,51.32661323874485,52.463712632790774,52.85164222134395,55.47752616311972,53.27026070006608,54.72591431147559,51.48013803076087,53.49137691648229,51.914314078936066,49.06479754690885,50.493166824051784,49.04943525211254,49.00800333049708,49.192449242883406,46.74260207931411,47.923078264763575,43.83428579250698,40.981741757799156,37.184944428602876,35.26124927905493,32.1537907073824,34.717366597297335,32.44996230680323,31.90792508253347,37.076972545022606,36.680965264007256,40.83008802820675,39.76154716659023,44.947988998684494,41.21400459342367,43.421939585165966,44.30891885668575,40.39285650980182,38.66121844526649,34.771539657003956,36.169653176130744,32.11471394742332,34.92274124988696,33.914768464844954,36.03489897986381,38.37022857243917,40.662346407953194,42.839461935064975,39.44792321141188,37.06018030096447,34.06552750090777,34.540457981828574,32.6317234077329,30.14863980907038,34.245267657219095,31.908330692595474,36.380832210666625,38.61232002495364,42.48830900446333,43.74816967261108,47.19239990467482,49.106067069247736,48.09957725847831,46.20895515366847,42.25601454345711,41.76860150837823,40.91629034362917,40.046536497677266,41.77832206377956,44.377700011733886,48.31058492324106,45.791510207259236,43.19833327522476,45.6677004677949,42.44305872977605,40.09137683045462,37.48404095019428,36.61881508589062,32.19407045781531,32.1653197461602,28.17929900303417,29.871087887007608,25.278469652826065,27.806184293146686,31.325974346938338,32.11809023479174,34.3821740041747,36.4299687391977,38.37069157499961,41.23765524202271,43.167153259680234,44.00915842507559,47.7451487415299,50.00370150497335,49.22021725127126,51.146048054712054,53.70982711614188,50.95007700689097,47.63933567595837,47.05982009025574,44.93642200747209,47.07560887547106,46.655219392991164,46.16860476910084,45.386670155851405,42.94075764412257,47.247388392135164,49.071534849453464,49.85587525144092,50.37034756277795,46.00385958640438,51.4051788793757,54.635025533303775,52.6203952151382,55.57172721557475,54.26204361189006,59.46852372636951,57.78917110760826,59.65376060178223,60.121966760098886,56.603634113270715,55.85690547384118,53.3436630181022,53.12149125093354,53.004999623252125,48.28129177164839,48.16780926242414,45.01657915483206,42.31159844751674,43.31521658183271,40.12283872303647,37.881787076909994,39.13259501042049,39.07552203888699,34.542411593236366,34.41919391107357,36.274618662857044,34.43688015714299,30.037656493318817,31.420900868729777,31.71198189210614,27.528728941430565,26.763628304376187,29.93613246621442,32.41322730805595,34.295492041695084,39.04578006803087,38.73622782052026,39.62385069426793,44.92186668111378,45.655986541126005,49.439199154315304,49.34287239407103,49.593537124650936,51.60656038389824,49.49437431851678,54.40773375482506,53.589507330429385,48.951436495499955,51.90336415958866,56.09598474847082,52.91359849952166,51.08991344202383,54.81082563630684,55.50318093809051,51.2445521373408,51.06692168649715,46.78527245323103,47.856685992629835,49.67318251083348,46.79621499385923,47.45632894144268,47.46590280782979,45.104943205664796,43.389190708128865,42.52229063445109,41.12506367405065,38.22651576199422,37.47793814475254,36.1896381937755,33.161833800353016,32.33906837436628,35.591965364762075,33.22186791119688,28.908149190241843,32.3043172691255,35.4448938235258,37.009339174923745,40.36489455024975,41.10912152300599,45.270850457962716,43.071702702774054,39.62419404168758,44.332348052466386,45.764547735262255,42.91390484753132,43.650929636794444,49.11992982789223,47.83627349377819,44.13062216797452,47.517925277354706,51.495552510111786,49.440679565282046,46.607395336712734,42.260012972949795,46.1982700740558,42.33172032351451,40.620700319234814,36.485815055148,35.566154356367335,31.093903281374356,32.96472979178841,35.81289923754864,39.55978133347708,40.49835483374834,40.17079476420772,37.103298406743185,39.62623155256877,35.89248742328671,32.38790538106253,33.97190057756395,33.397809087924,31.90515442479641,29.642703806091223,28.444020342590303,26.400950564117093,25.353862398439478,23.826159420207752,23.55717088184545,21.914051104471156,21.57541788470084,21.968082702738876,22.763847084727903],[22.875233264100512,26.10831450933706,30.682705975071016,29.748674849089568,34.66371730698033,29.082171347685325,31.279808702932076,31.43412838192172,28.908767397624132,32.13805737737132,31.712412408648362,32.16408646250499,36.43136240140912,34.53621216617623,37.18937609192214,39.65373674035262,41.0875788927643,44.76126159985457,48.254279336316614,51.05906771525633,54.38127313186627,58.60233346638461,59.46472023570078,59.6694201561254,57.44284345087738,52.93770964496221,51.179531495124195,46.90780809318852,45.90246959968347,44.04969579718113,44.0560678458564,43.530169315957984,44.55611125485366,48.8974153845629,48.87169656638809,48.940166596036086,48.30720483381879,51.30559194319305,52.436109594995806,58.40861537542698,56.47473546591207,55.98857982067866,60.15872801800504,61.242335306482794,62.923755867776,62.97390084287927,67.17137900988388,65.76606074992876,62.41962883449587,67.29824479418824,69.32890738243154,69.56237373522357,70.22495619312627,63.749591923511524,66.01953402163197,69.34939195363559,66.59238631142485,62.96785283240839,66.39773006755537,69.09692077157194,64.07139799608805,63.63851929323187,60.61850244227653,63.03675048366917,61.813679768073186,57.84288869450396,54.36465938162033,50.418821395687665,47.98484871032545,44.006970422352985,43.805544652753866,44.44651627744722,45.80953298026614,50.528098034994684,49.25380183660215,54.545114616511526,55.438373534521915,56.57225173496918,57.085149752934576,59.78334850331234,57.65613200335691,59.154305774588444,55.95071160939922,57.97100642215498,56.362775097058694,53.51181519997076,54.87265792577733,53.44897797889205,53.29374163845321,53.410784361787066,50.86812368984409,51.86855407769004,47.797330297285065,45.01399755038863,41.314194651225925,39.23160321769147,36.233546559906785,38.95870108671337,36.79695761945524,36.2243776770874,41.478466750587714,41.117095759983606,45.304607149013144,44.22547256158763,49.395504436672056,45.61337087036778,47.73533520961091,48.54119799697219,44.551317903289146,42.94233521638411,39.02883830774795,40.5333796280465,36.495712193987835,39.22916054807916,38.21048815954236,40.19709787763654,42.521447234504706,44.652298699687634,46.77424532526793,43.512858996661414,41.0284614165566,38.12857482590078,38.49538571771397,36.711722217860185,34.32767498470428,38.39699372644302,36.05971364495752,40.59422219315179,42.792001439202785,46.771718610579356,47.839443066508885,51.31950900658932,53.27895159244358,52.40220335657097,50.4231712197876,46.47917784086608,45.77024258025427,44.97155242657573,44.02141481012826,45.887239955076005,48.29371750737064,52.31078050473302,49.869747048987065,47.35187216055016,49.91594325556525,46.76795142894118,44.39695589596077,41.88478578280937,41.06334127940328,36.653141145400475,36.6232432322217,32.66225491749496,34.26098633464785,29.554548123930918,32.141325038980646,35.74301510664883,36.59372956850399,38.86415650621801,40.91577096052604,42.842025796913106,45.65142188955532,47.58976569154775,48.310773960274695,52.112131299942014,54.282030446202334,53.33149184568727,55.2961769167393,57.734308460279024,54.91232402309801,51.61591182863815,51.14692587963766,49.10452765496259,51.38751148839949,51.051842359287846,50.620723768475834,49.87131112059001,47.42347980529532,51.73430281665248,53.55318290377586,54.33721875460899,54.79893836703199,50.42378397741355,55.78154953528187,58.98409747733711,56.958832859663254,59.95309447160187,58.63972348078522,63.81898585793675,62.02198226392391,63.92411462351165,64.3359479113575,60.86233451276261,60.0319478650323,57.483886203655075,57.22772623312798,57.00100433367794,52.23350282992532,52.07755866241667,48.782687508944726,46.23151188634143,47.012829391093184,43.93538272459042,41.76105209146346,42.70590364730388,42.560965721697286,38.15710427530058,37.843272542199664,39.48359937016712,37.682803220917215,33.33381136955368,34.400750584974524,34.4936906839231,30.529816004854936,29.61799646688991,32.31728727750192,34.956388752542935,36.58578596525392,41.458798359025316,41.441196676837336,42.159791042675295,47.48656196378492,47.9382550215349,51.991857869182894,52.10444761577541,52.61752603752021,54.799027117645664,52.933413284779924,57.826574632313914,56.80279852949643,52.35132397054007,55.469966556188886,59.513445339618784,56.27347932256742,54.64494057114267,58.465450767930214,58.909815865640574,54.612681982083835,54.76593869266739,50.39187091782872,51.73717098471543,53.46700419385632,50.464527491341066,51.24168458046499,51.092963910460966,48.96055129574595,47.21398053572726,46.066045992977735,44.78631553454523,42.07006210749746,41.06933622274525,39.619950876870384,36.66228207313474,35.77438431543458,38.707497909295036,36.228297238545075,31.99532056062264,35.134335095760264,38.095231907960724,39.791060188593995,43.304698835133514,44.36152838724821,48.39976608819763,45.90326638260116,42.71091092583412,47.56614004755642,48.714583655250735,45.80669191357392,46.85965543293088,52.18990810221811,50.598402915221676,47.06944149103006,50.69284677201219,54.4271475142676,52.14152843296629,49.40902877832826,45.08390727999511,48.73282503081071,44.797967496478634,42.944750128294096,39.04887721393103,38.456420025750724,34.15876410379708,35.77964495702391,38.82202051793483,42.47123372634738,43.694048270794184,43.504550813218586,40.759191943572134,43.47268651567385,39.88204465149755,36.27747588159714,38.02824511534407,37.31211919514849,36.049435265420705,33.77290228241117,32.274568012933,30.342729867169012,29.581007136939924,27.691835752151945,27.190534028002247,25.698145763113033,25.469566283703898,25.899969322008374,26.51551418344807],[20.40993846041655,23.8379464944728,28.629604864124023,28.30842461576135,33.338095539278996,28.03397555374323,30.701078072402556,30.962034469683044,29.015099829709897,32.62953783083896,32.601144152478355,32.89839978627446,37.06486417851011,35.52244527539433,38.44668404076411,40.67554727653424,41.986311924404056,45.928766549813005,49.51363837111474,52.11702633845052,55.599135027055134,59.6715654557567,60.68582360296897,60.788841267206465,58.36621444198259,53.92285095089683,51.91579075319853,47.64004667985748,46.73029585972281,44.76477041558162,45.377202540658246,44.39874417368299,45.68826228832437,50.17742048629636,49.86711513684103,49.93388473062321,48.924674945945924,51.94006960391747,52.879371410176105,58.709123571215656,56.84340015346338,56.73166834194169,60.89510101950034,61.813003726494316,63.54838710707346,63.38023785430764,67.62535311957421,66.26019776058365,62.643986457524896,67.40166152930297,69.5581202753037,69.70214501673954,70.51498216592867,64.01368006957593,66.26014072791017,69.81974817381497,67.18641494746954,63.55834513598464,67.08836391544199,69.88766827987621,65.04158093612014,64.8322897282049,61.92197232715749,64.50027835254943,63.089254187384576,59.02547241574175,55.84049452712828,51.85720127419345,49.58657121118742,45.69036639918252,45.57722756930877,46.539555593937,47.8014497661677,52.43159741419329,50.95405077308873,56.36375194728187,56.88814913750729,58.04710485118654,58.27556622994773,60.7550520266612,58.36041142422881,59.615223087199155,56.172046543822454,57.959174220101886,56.405541129220346,53.80867825953627,55.517018497400606,54.10909337668499,54.323892089554576,54.634777993491824,52.31837625517132,53.648239375401545,49.55179971854249,46.628448536800185,42.77500664452665,40.979717694483185,37.808923759981774,40.12171759989963,37.639343285664374,36.73221182557271,41.969599163812866,40.9918365980364,45.35233544477293,43.743113967094494,48.70355479505988,44.72803692521844,46.50423045442831,47.137867240272996,43.03475583506679,41.66503931101861,37.817057400236905,39.80213655690518,36.042580585874546,38.96904480620511,38.49307378760895,40.49770805142307,43.14610339034416,45.27153333923583,47.86458762103741,44.61586430185044,42.127577042705795,39.03934692968667,39.0819797219576,37.000075798186614,34.295891127408375,37.966158985382414,35.04083387312332,39.68291448639608,41.59329760531723,45.68624418477579,46.452429828701206,49.826775245376545,52.04188581740791,51.321150563883414,49.446925168327745,45.70129547448962,44.6942207549485,44.357211705447156,43.71446918440773,45.783028630568445,48.463101857726926,52.616313141224275,50.37036431739929,47.66573119025032,50.222151431954224,47.16029105304067,44.64292160024215,42.05682043498589,40.91379188548549,36.51919483279264,36.08543620422201,32.402861834116486,33.77320385627736,29.234648493227088,32.32565697076727,35.78871915876719,36.75887472837437,38.61494252436477,41.042576760215034,42.439397389965904,45.32000353021545,47.693156844393144,48.27470049682343,52.11985478979383,54.0088946777943,53.002465264039856,54.65983520035812,57.040422236043305,53.98930705129853,50.904119685797916,50.35775336826107,48.591638068109106,50.928475528906255,50.66543202088505,50.41467696339519,49.61133552284115,47.51769431041618,51.68783986343623,53.48171089494217,54.005865797457744,54.39889073709986,49.75516010283782,54.96559886647096,58.15218326114453,56.290000853098576,59.622223268831064,58.617175587792964,63.69918274822389,61.92387341525631,63.56548430150358,63.76635652760599,60.25417590740159,59.129769754055715,56.41106435175441,55.93925615715664,55.442760532948796,50.664651729482394,50.2604974228813,46.768805818006584,44.33398706159977,44.71671047563154,41.74698037588554,39.76977893401367,40.36296164874636,39.98689079384058,35.77149723108827,35.48679419124251,36.74202108710846,34.846787148498116,30.703290007073374,31.542527196553596,31.348986760037068,27.569282675451873,26.753983218232044,29.06882208337928,31.89519879734212,33.14065240496738,38.30384916614943,38.326815451862615,38.81713301934017,44.12901494704283,44.368256919652325,48.567837954573264,48.783959632201125,49.50362212398575,51.81557186376149,50.20334470038753,55.064034524660165,53.86262141378286,49.648377399487735,52.91496994751672,56.815690923954214,53.59785134352553,52.19690793327689,56.142786101303756,56.40430527609779,52.12094439470595,52.68467995213974,48.10763180414519,49.68460631683274,51.222724005704094,48.02437371204474,48.94564077071268,48.62594387632774,46.819878101778286,44.99077809189378,43.497987353505515,42.43995455523018,39.92387149560968,38.566959709220946,36.99552244917837,34.156639079625805,33.13144400447141,35.74084577656188,33.23860580918749,29.064960628709233,31.935674776032748,34.75703158196064,36.5266550392846,40.14518402713461,41.47196208199571,45.37723199744912,42.65253256438368,39.7206397598846,44.67949678599643,45.60222278496359,42.70692138099079,44.07922719200315,49.23039170564838,47.484012283444045,44.208499966487736,48.00819580354042,51.49742112131808,49.155540080389464,46.60297980710039,42.41083775463472,45.95381005538807,42.16242223586694,39.975910273278004,36.384058346902705,35.783799055840234,31.704028457147,33.47227088194311,36.573968077781444,40.16479260795622,41.522530095320846,41.17123883463495,38.84498480624925,41.644214623989775,38.42489138141196,34.475670017206234,36.28742024769117,35.29225688885984,34.46957710030078,32.23881520111493,30.21287435618641,28.452723836575252,28.31157377144036,25.871383228294327,24.912498334295734,23.700558356255343,23.734851932173623,24.472274679589095,25.02186369745311],[21.562031795767197,25.1270180267895,29.913187393126144,30.34046458700304,35.12821174871638,29.7786045868639,32.6144840272348,32.50034803722504,31.006519728527163,34.936028249356525,34.88900214456111,34.71959997754052,39.15343493002767,38.056767242299884,40.78171797555033,42.804752404029735,44.38037135177417,48.399055343045205,52.24947774247445,54.5988260828689,58.233023168568764,62.180890896187485,63.39523480814737,63.61830346086657,61.03295884439792,56.658449494117704,54.44812848155735,50.14678456612155,49.02488607251396,46.75958924784014,47.50764822345432,46.098044920935536,47.26027415938616,51.87609257941718,51.61379767276535,51.96302754715396,50.66164559278131,54.02327967406956,55.004784235546,60.63295042777113,59.091622745926834,59.110729980714204,63.18424108031626,64.18024458302172,66.10745539284038,65.94052381563448,70.17463085682046,68.64758448505896,64.93504099751084,69.68218943831684,71.72029792384734,71.74950480662747,72.5173941727449,66.02630431740779,68.0543058044123,71.7530271527122,69.34303852397146,65.57757165977512,69.00632124373026,72.03887249355272,67.31258070903246,67.0335494083475,64.06178740077571,66.89778019372275,65.53044790231192,61.34613141086689,58.44492625762341,54.34350519792523,52.37186388677583,48.39313741892205,48.505539130588616,49.57865867450189,50.56153899170024,55.17882711230341,53.39363188272178,58.66372051450846,59.09598038899841,60.00860108409814,60.18821757507316,62.65471762129911,60.02859907431157,61.31535816675916,57.58403475120437,59.39942604854979,58.10421164562721,55.52866654907202,57.455247359759056,55.76289751676332,56.34467399963282,56.40815588420946,54.352290449993845,55.732846009066776,51.61688251925124,48.51106866217644,44.77710581541442,43.01102010575681,39.99420402547996,41.79378058247673,39.16193230472721,37.67187685476939,43.178690746993404,41.80667412368276,46.483677641833694,44.64582174926545,49.63175601480218,45.72994663464363,47.16631051088107,47.93710118151324,43.89690145692606,42.47147544890672,38.93542253689222,41.28846098123972,37.79103251986663,41.03274086812062,40.834336386729206,43.06416637210139,45.78453377220625,48.124978160373686,50.80734994757508,47.36804252590543,45.0482247472674,41.851611875019316,41.997681357653185,39.69551539702391,36.741985438756586,40.187070340907354,36.742698125901285,41.36375921097588,42.98275610287364,46.936295775197706,47.76140201991503,50.86397991605057,53.37199864511108,52.50025236182329,51.02262174631136,47.480143595536674,46.54467279665372,46.54899254948711,46.21520010970111,48.22799440919916,51.248600956964545,55.34640365313382,53.064528058120196,50.214577535901974,52.59504500019243,49.400977667059095,46.912773799799425,44.072765049364826,42.63863227916361,38.220424514914384,37.29477016154127,33.59663404619287,34.375897121147176,29.646574472494514,33.08764353565964,36.66760737922746,38.055897314128494,39.70868619455174,42.5179359218999,43.75848119286469,47.012605998350885,49.57451541156402,50.426511269064434,54.120693800008354,56.051958904527794,55.2892552452184,56.66304925359722,59.16770713166716,56.00831432493891,53.093375328404846,52.34046909733697,50.68262372844925,52.78287307407905,52.34981658488515,52.012132125036004,50.92709288808662,49.0094798781474,52.857334226617205,54.930121646915126,55.25065374848177,55.93659382387944,51.05001972985701,56.25103040515147,59.514398277153326,57.87499482436867,61.36358860780182,60.54605807311909,65.63343458154493,64.12110830536581,65.53820829315436,65.68584070979256,62.07527342829329,60.83811525267953,58.00733664031591,57.33720948519723,56.674377257296534,51.970568413283274,51.243884829966085,47.68229084889776,45.124440865484566,45.12250114737361,42.033239993642965,40.44088631530923,40.96362773517048,40.120949871021686,36.099447400796414,36.33769447992815,37.05920271128549,34.64250118861978,31.124207374302294,31.94815683290398,31.22210377984434,27.553117720091997,27.332739027722642,29.252150094046318,32.36050189039585,32.83503210872372,38.65631180170355,38.460506747716835,38.49184106188328,43.70462960150888,43.508612553097635,47.87035509219946,47.92561358044746,48.88111801216301,51.164476726157794,49.76361416609179,54.6481225632998,53.49094010559609,49.64089430902184,52.88829957455716,56.803869184333934,53.81159867551419,52.58380876490111,56.61092663279501,56.94814525845697,52.76264562555941,53.58708202169935,48.780189476258805,50.209501078383965,51.457065404411615,47.96016204161304,48.71758032648208,47.97783802433596,46.442972960893805,44.89500625878531,42.90214118164706,41.74134347951418,39.688916328258784,38.253702397840215,36.21156256321508,33.44210961409609,32.7410675070692,34.84945514796949,32.05436698443654,28.246451104278684,31.11424684974585,33.566668213375934,35.692062255330725,39.235287587720805,40.85751306692357,44.66025991570485,41.888224713243105,39.46678672772461,44.42733283155709,45.27949466485833,42.5668409071669,44.30126951856901,49.205258524996715,47.532274150359456,44.654107906416385,48.52471904059559,51.78468879061894,49.58079143524743,47.298889620866355,43.33803315426884,46.890511610304095,43.37528821585001,40.74797213930007,37.53928839013733,36.68324275853095,32.833158751556255,35.00519203240929,38.037030906746295,41.598106278645226,42.91898557310418,42.17927547442552,40.12458520069597,42.747249556322785,39.854548805020194,35.531581590392044,36.93854326490354,35.530882671486644,34.84924858765598,33.125867876270156,30.71037977725091,28.707257449675332,29.37275671828822,26.92687481919195,25.22156660575104,23.811710870892124,24.024267565072645,24.84914568298351,25.074379063531396],[19.413640955108214,23.01381538524942,27.902351834469247,28.826701817420616,33.68971821888678,28.826017618458557,32.05070472446967,32.18545671042752,31.20261703188918,35.32733871033111,35.69671823693717,35.544906429137114,39.693579133367464,38.816252429171,41.852085822467814,43.68209864285714,45.00978380968607,49.23609528977648,53.04832821850345,55.26094221121171,58.98088018560927,62.79163268456695,64.08589140185087,64.15558816545997,61.4368328539391,57.134811492432746,54.752092551878576,50.49565175923508,49.56369206188826,47.31434816705047,48.64098813017851,46.934214989645554,48.4109002794759,53.09145152781961,52.510753761736396,52.74823714794014,51.16640601202806,54.38636530211343,55.13673710761329,60.63780497741014,59.06536330826666,59.440518763612005,63.51222290860223,64.29386814959014,66.19882216039042,65.79519986168373,70.05883675113795,68.64256625814518,64.69307724385429,69.28255094703766,71.48898330125128,71.46659512164169,72.41206058788892,65.92462152279205,67.99886900192763,71.8774594902729,69.53282403180351,65.83942215765458,69.39317273036004,72.42731367275327,67.87676783672256,67.8658181038128,65.0482098878978,67.9442237548471,66.36753330750633,62.15268227109091,59.473396270499194,55.40524075091198,53.50525348628633,49.67199676767694,49.78924571183845,51.134210295746215,52.11402579961755,56.61601605306221,54.7511686608637,60.1635434844749,60.24223306041721,61.26938651238274,61.164022522777884,63.384731914586176,60.574478428110226,61.574248678444754,57.71586425002833,59.24823207818956,57.927530643209295,55.64628059467415,57.85373915815688,56.297549845234045,57.13505866190199,57.49845104802096,55.5980284209513,57.294605050782565,53.188539490988184,50.033909892322754,46.131768923693706,44.66674989619657,41.45170687192304,43.00275172257238,40.13110248675773,38.531058431889136,43.83097526235655,41.94857133794663,46.6361147823982,44.31227191850225,48.98846749441348,44.88270968403113,46.017653658490374,46.529440753815415,42.38483464762278,41.28244328552692,37.77556600646861,40.51582608044289,37.30295900032026,40.58934660062807,40.884069341010125,43.0191336831159,46.02119077702216,48.25204436595237,51.36839935960996,48.04456198800615,45.68395628974188,42.37365331563166,42.14534022593189,39.64478892068835,36.49442713876002,39.514636423082266,35.65188047175597,40.31801376182323,41.679666573043704,45.75806431664663,46.201552075091186,49.23777816358455,51.918702318232555,51.289275635599985,49.80998880615725,46.46503215847169,45.17793640416295,45.589125549034826,45.494805294810575,47.7204315610197,50.88372654367016,55.10404816475665,53.07166147194969,50.102213233951225,52.512364940415665,49.49191121195558,46.86393508100469,44.071882617866684,42.41128390797814,38.09366343663405,36.910393414663176,33.61198184169404,34.32660618047553,29.97950225766436,33.7539925610658,37.065152723141054,38.40417120190243,39.64418375234988,42.68577003535622,43.376754272881925,46.53508735738114,49.47907875625141,50.07206212552453,53.83150683044492,55.41846344186108,54.51550668157464,55.631553799884344,58.00673075841317,54.653338437359096,51.9475394976906,51.18661632521516,49.81989879908438,52.04067973444077,51.75341959136149,51.6512236628567,50.61815624544617,49.051620530585936,52.81894190285759,54.74464972824645,54.845172416920214,55.34244206717991,50.28621443538778,55.27168623721914,58.461117978755304,56.94306980675268,60.72875764655142,60.19465650588926,65.13413114804193,63.56093279170822,64.75842816301754,64.68511788535093,61.096120109960594,59.57388471985591,56.61013773863588,55.76553779697294,54.85027035284029,50.15224254959925,49.2481813279069,45.51013150408574,43.164637305911356,42.802493015625025,39.92495384137527,38.47117309694667,38.5737615400235,37.60178570676081,33.82002842115523,33.926327044390604,34.30996118409171,31.9692921879409,28.598976048260084,29.10943156427668,28.167252198689877,24.80007200622672,24.55104331381007,26.00320326440412,29.22653387098973,29.393155371640987,35.33841790169186,35.26301077933591,35.13145060901616,40.31239022357817,39.96802446534857,44.44905292725642,44.69066487425714,45.83101821693532,48.2786083407803,47.13942496057003,51.9420703129918,50.55333106421478,46.907003319446666,50.3205001629594,54.027902582052164,51.006545935969115,50.01206681808539,54.13533864647512,54.22167543055077,50.05059425052266,51.28191792237424,46.3480459685146,48.09641463269415,49.197163166824005,45.58951008914282,46.576490320421705,45.77289041293207,44.56880012337003,42.838344409029844,40.599328188886815,39.770796821587545,37.840596693756325,35.997635280350345,33.97998885557749,31.389323307749756,30.414705235312773,32.214360572647735,29.522862852815955,25.753102751197375,28.193185187960967,30.530548189445852,32.623385842488325,36.296595158811826,38.16468118298047,41.79423963895488,38.75858323021843,36.54154823534982,41.58559540039072,42.16099670481396,39.42969993576765,41.442422892664474,46.15618586523995,44.274256884405666,41.61866607888673,45.65187766049159,48.65481852330702,46.351380448937505,44.229205792778686,40.402269227630676,43.781718200331355,40.39805297728756,37.51992874332116,34.62802763810993,33.85194982950142,30.285715063169196,32.475711703733616,35.54221942139104,38.98171850690113,40.458532889733135,39.65502229196866,38.05458457389455,40.79853811479947,38.286056127825134,33.75511025517539,35.34029931547216,33.752229214765876,33.58555498788328,31.78188193296107,28.904827838247375,27.25628794316845,28.396271581022162,25.375040507759223,23.383245215818658,22.4700116889075,22.950329836465087,24.083505575369262,24.318667511696276],[22.980567677397193,26.561465317367876,31.52966718265863,32.35966900125659,37.392944795781816,32.679019945881535,35.912742078827804,36.13671823943098,35.02421750424975,39.0489898103825,39.339550997153964,39.27493737004974,43.453905699467775,42.4030684942129,45.41793439972613,47.3567267552395,48.67996130329735,52.840426118621984,56.56720519786646,58.90776890261148,62.55692736456214,66.44314835749267,67.64573178351891,67.68626683176394,65.05809004454093,60.71440977457205,58.434487087219516,54.17975537108203,53.28676855749845,51.10091744523827,52.237070608059895,50.68827681180212,52.06433150206363,56.713939303886384,56.245246000466906,56.47843983733186,55.007134967107504,58.197230475937786,58.96725284332495,64.52823628655739,62.873281234174534,63.177965202797274,67.27969483316934,68.05784455571407,69.89143635336097,69.48707778107527,73.7565033345781,72.40459459124602,68.48776367363224,73.0709475801411,75.3239969691616,75.33392779544414,76.2885418559499,69.79543939552568,71.91037764704633,75.75434518104339,73.35077281881223,69.67324438829984,73.23407937640125,76.22531246510594,71.61306478399831,71.55735382463706,68.70476023469139,71.52085255640577,69.99320200639647,65.81710319225225,62.98562269964009,58.944246817383366,56.911227765850136,53.05610766971686,53.07694568956105,54.25290736507472,55.36423803979924,59.925766852946815,58.19529320016438,63.5835771401599,63.8276695638141,64.85333999874204,64.85935936020783,67.1559519696867,64.41649440891463,65.4685761538933,61.65513045781869,63.21813596180933,61.86841520950383,59.558621198076764,61.68992672136255,60.14104981692295,60.86773649767374,61.16675006314788,59.1743590571393,60.72502866589833,56.61315370165994,53.50318711281668,49.65910097307022,48.04652752301643,44.896168926099236,46.62266669946172,43.84798891656595,42.27661392819748,47.655814460998535,45.88201292641006,50.58014202847085,48.31618041701315,53.009817664192866,48.88773548305525,50.003644221130514,50.46982255430326,46.29669357704743,45.2614265697397,41.733514036331236,44.47094477708216,41.222037306600804,44.43189160144655,44.639135923833344,46.68852956997645,49.65517087899326,51.785456924428274,54.82894852899426,51.57726919104311,49.13842639040559,45.89425140000395,45.633064981936975,43.24491347746629,40.19691215540597,43.26947979570512,39.500092836538506,44.18707024930027,45.56445270860587,49.69734159726828,50.026873421923376,53.092419550288376,55.77485452979492,55.230862915859355,53.675870841653435,50.31874803854511,48.901554949613775,49.29863012422744,49.110909864242515,51.412459340440655,54.41503786308782,58.694149301788876,56.69226284158452,53.78652946481864,56.27322064695082,53.2891564854946,50.65565005799632,47.93095475993742,46.34244062355964,42.017307044515334,40.90549747516161,37.56702827228654,38.27563982185522,33.817946864081605,37.54310774201262,40.94374807744316,42.30116409131754,43.61747743519901,46.611619151258346,47.36922567770173,50.47836548808731,53.3799686515871,53.90199504151085,57.71142999511754,59.260253603655585,58.23867123084807,59.41073263451228,61.69313020042958,58.31512213772171,55.60528457969751,54.93487303648626,53.60142192131701,55.92464194830778,55.6937294981185,55.61309429746026,54.60991571611967,52.99705563490424,56.79026564755357,58.715652396120696,58.844034836740136,59.30913284732661,54.27568767448633,59.23907162687958,62.40627507105078,60.866893938743104,64.65746890054392,64.09431322772238,69.02648218567646,67.3621674533495,68.60743118513537,68.50591050933303,64.95300959986083,63.391788089278926,60.41746213087943,59.564849721303474,58.58482473973657,53.87312105902552,52.960559110687136,49.14755913742857,46.928101516843114,46.43442619186723,43.66621010839279,42.25277078723935,42.151804741695614,41.14710230336676,37.50011453245781,37.44125616318884,37.690205281432625,35.43771491323318,32.144752445986235,32.41046504939402,31.357473496493768,28.25488542482104,27.86757752741486,28.907687246368436,32.1691615698678,32.131528336961225,38.041617245779044,38.22488253211884,37.95744904495117,43.07360219188289,42.476632746565876,47.14002848461512,47.56454465060415,48.91433079939981,51.47556926161689,50.548024366667285,55.29024626243941,53.74846345085172,50.286062064759506,53.79910473236603,57.36016836459557,54.31519520939797,53.47928605673671,57.65039949122743,57.54026324337166,53.36353111636485,54.83620487020467,49.87426898539994,51.81226005625195,52.8511272161017,49.18471889742384,50.2482055668891,49.333768535265754,48.30020593969009,46.567562041602294,44.15622729456374,43.41363472853908,41.628293478181604,39.64834637777651,37.547772079298596,35.04701760412102,34.05082446079277,35.584553769307874,32.86421407585018,29.25885716879104,31.434464980904554,33.56007509664019,35.71602139100366,39.44759018075648,41.53697256592366,45.01553038336618,41.777252031777444,39.80518531304954,44.8945764113668,45.22928835310953,42.48654715568373,44.723926789183395,49.27610808395084,47.15216002125042,44.672499500611096,48.85230956125637,51.62693483821024,49.150387709639624,47.13243196244668,43.36244331655209,46.459888974591614,43.050710506278826,40.102124547153366,37.44683538281915,36.961443842033866,33.57606268928858,35.50663586804965,38.68338608248559,42.007127874833806,43.69078719237592,43.0237381178155,41.650512856345266,44.512240605348744,42.0759419135297,37.55610893958695,39.25436711694335,37.61888603854021,37.56430976210329,35.745925721564014,32.772367139603986,31.204361113571867,32.38837437077587,29.250125891066542,27.238540296970395,26.403579970719512,26.888598300091406,27.90403544227469,28.031624723224432],[23.121761499826224,26.6387703779592,31.613041835202495,31.642987568990623,36.84324960692226,31.881624961330402,34.80609261279071,35.16471455128815,33.45599913440902,37.15382819506473,37.22938214206357,37.484673442087214,41.63529761195523,40.137580430530484,43.11947197257068,45.31740078896921,46.586922919616015,50.57051639222999,54.117480852660556,56.725405219727094,60.208956394455164,64.26752370852839,65.27200710154783,65.30931984490806,62.88280962779101,58.446277802701,56.41932513515564,52.15917454435288,51.3168510248882,49.34192881971756,50.04631096245303,48.981324396453985,50.26658291590535,54.78785238147128,54.470264526246844,54.5615121084177,53.465770813543486,56.48347499802654,57.35322625384699,63.13884442380051,61.26011598136465,61.2631020590872,65.43322399626521,66.2755357830851,67.97615756883155,67.70483894912628,71.96411168516596,70.67502922858326,66.96689179472179,71.64923714879863,73.8953108466268,74.02685602596344,74.91254459404757,68.40758355794513,70.66401993894314,74.29839448678422,71.68887971111926,68.07657237147569,71.63833650062043,74.44906897144942,69.6441575339527,69.48379618984804,66.58505315518768,69.17317553668494,67.73639691183281,63.66990003876508,60.49677992605182,56.52770800833887,54.23035087604762,50.35686562113791,50.20435041852292,51.13318249274631,52.45717737026163,57.090427804732954,55.63974308034753,61.041964789241504,61.56546433393778,62.705309798604276,62.91597426306014,65.36693179817146,62.90557366645482,64.10059316518682,60.57083968379993,62.27790357007927,60.749685327126436,58.25343258383909,60.06378579171327,58.645961489472796,58.95341540351102,59.25856774608581,56.984122067482325,58.307736158958214,54.208606610216464,51.262741396920454,47.434164715585084,45.6251299326152,42.484722558588366,44.71982371108265,42.18830405890307,41.086736959751896,46.40206966603704,45.19501131255217,49.67016984009439,47.8407192342691,52.698533691932134,48.63237959298778,50.16684641799232,50.68193833248244,46.50666134025062,45.3262854603539,41.54345499778089,43.811368729336046,40.20861535969837,43.17045139028516,42.906557560210395,44.841525356398364,47.59927375642015,49.626716931015146,52.35835898387531,49.18885034330901,46.64751372659006,43.55092269089492,43.41607308917091,41.30259498101752,38.54341337674947,42.01341472307678,38.84069215554328,43.533928213817326,45.26946799000225,49.448664877534405,49.9487299225077,53.262493392749214,55.637866319093916,55.06876711464466,53.21689031929362,49.592344022558464,48.31106617333671,48.231908383201564,47.68094910868669,49.91236926343141,52.57751734037194,56.830911816570186,54.721506827314215,51.993391050880525,54.59535915858708,51.611618045256094,49.033201230836305,46.46611195187085,45.2125799536858,40.84302738456536,40.21974967737157,36.66132955170096,37.82099570951618,33.263742513119496,36.57433551857474,40.05570615287665,41.15084596095252,42.84421998223781,45.44054866155489,46.618959160656466,49.51774472061456,52.07194437373254,52.53902642549344,56.42752678440823,58.14018491023719,57.01047594547033,58.54158944368155,60.804742255790785,57.610130653703465,54.652117344171344,54.14174143786854,52.564735462545684,55.00136155718294,54.81458010321921,54.665136997547364,53.8360204316387,51.895093034706306,55.97238877345149,57.78307078002224,58.184853954236324,58.54267243650936,53.77324886225155,58.87578861053587,62.03337697186559,60.257143464381464,63.76870795481119,62.90336632201097,67.91858347551825,66.08837449180815,67.62737042961685,67.69003270215974,64.19786388226636,62.87864467584735,60.058807577792706,59.451951434352694,58.73751737561244,53.95295554980395,53.37891408479927,49.70357608278566,47.44664999461085,47.439427137515665,44.62308152051566,42.83961127590987,43.02731217171485,42.43564297025878,38.47995282159773,38.11082143827641,38.94992249504665,37.019478601609045,33.1446564222131,33.605603059626816,33.06464385975444,29.65626832569174,28.843416218326247,30.471893538848043,33.49082301999517,34.22358346947994,39.61415719632048,39.891423578410475,40.06872358665987,45.31863278351412,45.13718837289602,49.63516182078544,50.07121931830991,51.1352809061731,53.63254302796523,52.38285586459759,57.17933974960482,55.73295719833323,51.85877439567045,55.30533348251919,58.99186770801729,55.78019084851105,54.674829835899274,58.74355575112766,58.72081200427505,54.44726255850466,55.49552660527872,50.760564730456316,52.63577260319361,53.979542923721255,50.583500513325674,51.64012933592165,51.071724186195624,49.638138160069815,47.79321009727166,45.88191179646261,45.016275430858805,42.805619386197414,41.10379225641889,39.31996849051061,36.63805357217155,35.552399147256104,37.65949871521691,35.06791704463195,31.114815539276425,33.58352965317903,36.08847261268257,38.01425598583056,41.75675807358264,43.489470505599584,47.17413760857316,44.11038469036928,41.61239600364927,46.685301094619646,47.24223087823783,44.35486633774986,46.168265975783235,51.04295827579203,48.97736772548598,46.05126107186744,50.10419884453725,53.21513388142297,50.67937486752189,48.352331205864346,44.31023670477319,47.51456248050324,43.80095936969005,41.31527123184658,38.168042731384155,37.82805420222996,34.08342047524936,35.716946060941616,38.95020065738164,42.38312790541126,44.018619646233965,43.67662273337438,41.840561264414646,44.78165480841526,41.88297292999023,37.72422931246716,39.62746319319887,38.38230220191255,37.935497841875296,35.780558974498284,33.31908972354888,31.71573478684203,32.08426083165816,29.231496697522825,27.87889756434197,26.90942473754337,27.161104744233803,28.015350199217274,28.3906020224659],[18.33286755425263,21.775726999490544,26.81438357012027,26.827760732572354,32.199086971612154,27.687376439218628,30.871214782704673,31.679764495654855,30.24290357006943,33.97829019796222,34.521545379209186,35.03509012475198,38.71943865400122,37.256543275416654,40.680476988882184,42.75107626323211,43.61226241486958,47.788873526179835,51.179206047247696,53.73692446016648,57.249325705909925,61.205655931938125,62.21695911638412,62.04320420724791,59.53397478750328,55.150460359570204,53.022845958766446,48.8246363971826,48.282767813494935,46.47737878930464,47.77061231199023,46.59280279434889,48.31350186681182,52.835700559790915,52.1185478180844,51.929920144308454,50.68154492329088,53.358101714151765,53.963209278989744,59.71615610105939,57.64629853062601,57.95709027287281,62.163736366711056,62.745833524922254,64.34065175501517,63.83342099742661,68.12462279834483,67.01323445904106,63.11536637570449,67.65071118799234,70.11062885328987,70.24605024843264,71.32896371509796,64.82760555368772,67.2444874450971,70.98605059619557,68.33200732249112,64.86918628241823,68.6135866662144,71.30171791617057,66.63371093597628,66.80698142754744,64.11708403696827,66.6520784256409,64.95367555641101,60.91106363232471,57.8700357967521,53.992794057604826,51.66195937902061,47.99679379902886,47.768382022137736,49.00239663094444,50.41316538468271,54.90074284699793,53.47976895301035,59.120546901128726,59.25509407884036,60.65705333964923,60.556811158447445,62.73248307732637,60.19601202041995,61.06230378413809,57.5706946579497,58.96748025325115,57.265780079517526,55.060659882980254,57.047771936801055,55.93695016997695,56.327597096180234,57.1124830228471,54.88356499896261,56.569101818449035,52.49504966394596,49.58584114554355,45.49202676608804,44.04383490294718,40.58383596788803,42.784605312432156,40.06113829821689,39.19647027445465,44.10250520192949,42.602309225830176,46.8760359274809,44.70246097195455,49.233071444566,44.936645252492596,46.41723907538887,46.617094070959354,42.32312562599346,41.45701480594438,37.50962904902017,39.89934260770519,36.42228770306759,39.254314237443026,39.34491138839212,41.08429467757582,44.098590646699606,45.932447079820015,49.08679535844034,46.11332203165804,43.46934631262715,40.290665361503194,39.72658029050961,37.4929194351991,34.64482485673143,37.80824732086266,34.528682431979426,39.26652349120084,40.94181109104143,45.30309875024975,45.450650535178,48.86520168116149,51.20538245230322,50.928830464265396,48.85136557731916,45.29333385835002,43.68439305061744,43.7854307124024,43.3170512017001,45.756989699871504,48.429393527697336,52.810891496993975,50.95929653487033,48.17068569592817,50.87438796235424,48.1285612996971,45.39702849582896,43.00711684642434,41.68359041674541,37.436838471457094,36.851315174121595,33.7116130886035,35.193976955483016,31.17879458412798,34.59375001821092,37.699944216233014,38.4739265618471,39.862010445505895,42.45759073443773,43.17142587979152,45.7559573769294,48.57978127443182,48.65460097620706,52.67694162863929,54.042720314111754,52.677762044070874,54.11117659583378,56.2129940748203,52.91266555942619,50.04960727452174,49.62211323887629,48.24334462459186,50.900123355111845,50.93775388358916,51.062291775666196,50.450548479530646,48.76229874994274,52.947572722273534,54.437419012100925,54.743855757646116,54.746141524102995,49.96504948562844,54.8706800350772,57.915526037535386,56.12339861761864,59.816517576762855,59.1237245287151,63.99124446531965,61.978947377263964,63.424049776812836,63.319551826960854,59.89532571711379,58.39337959314887,55.5249019531132,54.884626509715396,54.06986487358086,49.25451241595413,48.735112667804295,44.98133878145838,42.956608566037964,42.94185207349513,40.36538836129279,38.42709259668496,38.36250104947316,38.00340521099173,34.0846896465575,33.2850701018126,34.25782850547133,32.755893623842496,28.53511030250318,28.818876651796554,28.541347428719536,25.235789574817947,23.98957892214506,25.65953952274167,28.53770603956171,29.675904352844647,34.66904878893835,35.104856265408564,35.54003658155342,40.84167507993988,40.96270911096546,45.35047196993142,45.98142863912558,46.937818921769214,49.543582556464045,48.28810537430802,53.005808151350614,51.39382547024113,47.37444892299372,50.93057529119181,54.47370223193766,51.096854595990216,50.01511665154676,54.08525778306173,53.87090322517624,49.55205974120386,50.68621236606561,46.01150753578648,48.19641376245003,49.63012379203838,46.377587932664625,47.71991447533312,47.43973865143991,46.04300593608081,43.84549581587649,42.14911002462977,41.619387532293004,39.13880791920922,37.19422976897584,35.81885359703733,33.224982406803434,31.677150526649765,33.97870651001393,31.731070414902742,27.50956405077737,29.691097331494934,32.442655928279045,34.026721847247956,37.8878009833181,39.514379550622124,43.166045199394105,40.00868568245707,37.22142153767283,42.32641581461277,42.78991875154446,39.76781811140321,41.46468831155598,46.403978423754324,44.21062017724402,41.12702146685484,45.20534390019973,48.340762205471655,45.701922758598776,43.28355116456912,39.17594211349713,42.3445385135554,38.56406749579337,36.1930278941399,32.95356548858003,32.74901106960227,29.024491402403633,30.491085534093994,33.76487450834657,37.1592744138608,38.87585640233834,38.68729668969568,36.98971029905744,40.11242547533552,37.320484624910534,33.22524599542928,35.526025830799334,34.42826361953469,34.316407746799875,31.744843613735892,29.178168628523935,28.053767697348484,28.277853787569747,24.94361224126359,23.89415501671434,23.509071162721444,23.919213736831335,25.052955528647647,25.71124813469161],[21.59254988163496,24.933822983933183,30.039302019369398,30.24482628914331,35.80280944702383,31.838539553596103,35.23008648825923,36.281311669932556,35.011183065318846,38.71359638491437,39.4042903706799,40.01797748899165,43.55353397195129,42.02302397547291,45.58313229833558,47.6611517353727,48.35947101883816,52.56043912116249,55.79890402318759,58.423803354288935,61.88432343103322,65.83709855084781,66.77450141345612,66.45790227970829,63.992384253805504,59.618681097962714,57.5265632987296,53.38069487212953,53.01559971621141,51.31312066071568,52.72354588342134,51.565596664161625,53.35494381483421,57.87061833381647,57.09071140016078,56.81809173945337,55.543819814003065,58.07516010266447,58.552416368408565,64.28844169819227,62.08686641570297,62.531663148482565,66.76455048311874,67.19727906066413,68.67273052377635,68.01214055184732,72.31327117067104,71.36995987836859,67.38089629848513,71.78632499168454,74.41580563187051,74.57301267841814,75.78189565222493,69.2933547608885,71.80320957841148,75.5969496670179,72.90314026320283,69.52886523086983,73.35745543522582,75.96959741615825,71.33848048705316,71.63206390733048,69.00671084392758,71.46547802130488,69.69214169509311,65.69554577089852,62.606357556717185,58.800250909955686,56.352167358016324,52.77212080806108,52.424010923520015,53.61690720427539,55.185593407804134,59.65581135505447,58.36229235370336,64.04880744794363,64.1692176341275,65.64972857500503,65.50776389110237,67.6168038965356,65.06809190432867,65.8123054459263,62.31836923813538,63.56833831781527,61.80683120294151,59.75669477320382,61.812276207684015,60.81413777801514,61.21143477348036,62.11468244864645,59.86583334206111,61.564811636078396,57.5011311586164,54.62557839873665,50.50740114536578,49.06932785745053,45.58055545166986,47.83218544867125,45.08862974980739,44.19567597820218,49.06469857525908,47.399509972489994,51.673944787656154,49.28943775028561,53.629319343220125,49.21143007153082,50.490842348566204,50.46476692537951,46.089121583828586,45.51276875834792,41.57134793942308,44.17035972415225,40.84362149790534,43.581260716801935,43.86761137766472,45.42328042796541,48.54743582120101,50.16470241361303,53.48444262916266,50.6990956988277,47.94836717579492,44.80608722944819,43.96669260057151,41.772925652274864,38.96000493655464,41.89300572509492,38.51175255168287,43.259619244908734,44.78833551244961,49.27722579553208,49.036147304582464,52.44548924352093,54.86898549008548,54.86543664164475,52.676814904356654,49.23936478966124,47.24768486930114,47.577665477485844,47.13816124623817,49.79863168930635,52.32730950383597,56.838316258244014,55.19960324092308,52.435382421125,55.24404009557744,52.67309997299015,49.86127886672115,47.60394225561867,46.24155634022784,42.07550752113909,41.42742782456447,38.48961814194161,39.91491619518587,35.99708360403842,39.54458045242296,42.59174905386755,43.357527821698696,44.58830900364099,47.249020554979104,47.70986737182075,50.152363948437305,53.144498570207986,52.95664029011443,57.06973467380087,58.16194956102569,56.54812528470403,57.89394525092831,59.77613141572601,56.339170842231994,53.61362918056777,53.31008387087126,52.164456674201354,55.02436107534355,55.23293022425853,55.53624150051388,55.00667488856087,53.4789582025436,57.650810884132824,59.032522523566186,59.24196115643488,59.07010226636614,54.237707946932424,58.96451352859731,61.92028391935073,60.169410904558916,64.03696385885544,63.47896781885867,68.22382592032517,66.0552539653322,67.41886965688076,67.14012426714339,63.798127826745365,62.073097713701955,59.125657133920576,58.380426149305606,57.340113305477146,52.52209774221803,51.90530802501147,47.968351568201776,46.258547088337835,45.878592338050204,43.595095927820346,41.77872153721906,41.19895466910257,40.756154029610954,37.16686358663436,36.04959170946602,36.66716868669991,35.37997331640341,31.343107824362207,31.1143338044002,30.60721664101969,27.852993815025712,26.395528376377953,27.235616073388943,30.169606042266714,30.919463883433938,35.82055717301582,36.69889762165576,36.90891939683765,42.092118793599454,41.86238070598647,46.515285072742245,47.5216219646667,48.828359381130234,51.67041686620548,50.81723329465246,55.393885360957555,53.43472944503936,49.74557104126736,53.52839366113108,56.74332329623858,53.29623613811376,52.550558782387974,56.71816777939179,56.08209777682616,51.77855679178359,53.449328599134844,48.70389259714902,51.33754247677547,52.62073976421652,49.26612187636445,50.85800011012232,50.4451441387646,49.43678847102752,47.105896590915854,45.09636493304843,44.88229540905181,42.62424453025557,40.278973042784536,38.85982994410562,36.484054055779424,34.73802828021668,36.558915502048045,34.37598722369517,30.37132069589169,31.96146503921373,34.40517008380418,35.99450866732055,39.99679336214753,42.0070331593694,45.363895131877456,41.804985392608685,39.40627690193065,44.592434480608645,44.58497668954087,41.52849926146073,43.63958571840376,48.25205177542621,45.61765849913883,42.87219726953737,47.214911077463285,49.90661885413655,46.96823347989075,44.76753338375865,40.82247139686307,43.47941290201873,39.745452070146364,37.17903143005183,34.453401332735254,34.71626156475447,31.44294125200089,32.52940904180289,35.94032310847848,39.070466284658394,41.15353738100874,41.133991388650955,40.0189120477012,43.35603760915917,40.90678997103067,36.74230496554702,39.287296227767584,38.05083465297136,38.37196582061091,35.73549079735183,32.813762267701506,32.01387764344419,32.56559719963468,28.796734538938363,27.564601774110606,27.55920044730499,28.140425417429125,29.38104085451057,29.9147073201899],[24.952249888478708,28.241795771159545,33.2915798796062,32.782079446061374,38.425360402076734,34.118031468877824,37.12769174343898,38.147300037013494,36.247010624286474,39.602204487100245,39.92476624760101,40.754541500667266,44.407548480918216,42.4297647392372,45.7942368204674,48.163657426328406,48.943527238374955,52.8851975835544,55.97360426006533,58.88940805314031,62.15868402482919,66.31581402241186,67.03794743541755,66.78026722196611,64.56191937808575,60.0851568838792,58.294417643416665,54.135405605153466,53.72678367482775,52.1792435735475,52.952077302308204,52.30683518894256,53.83732016995775,58.214938848595345,57.73549270983225,57.43105897998312,56.57572221219197,59.0571674297038,59.71949925052316,65.67241468143135,63.31688844411821,63.36266005678814,67.64478877612358,68.22367502908905,69.5927315145352,69.13408856875719,73.41236913018032,72.48387916843696,68.7629271671446,73.30643066231056,75.86468815373928,76.13990216893991,77.21992166928874,70.72787266760828,73.31629084655637,76.86189798523422,73.98898917829653,70.63663088481887,74.38977420817776,76.86208012741828,72.00177295248248,72.07138572845881,69.3307614569798,71.57098047708007,69.98578997735859,66.10122935268112,62.62090795319127,58.870797629704356,56.15854886650396,52.50429616264972,51.99198898261795,52.80289125903133,54.57549651172309,59.155742223061814,58.158131321702065,63.75447121909093,64.30271621431092,65.7936762776208,65.9711754139302,68.32768149815811,66.07937097701779,67.0806590330386,63.83954914368874,65.33304100953443,63.47119818072602,61.14860624575804,62.832586157909056,61.84838975501138,61.812800275599564,62.53889992115686,60.005654705317774,61.33561008861675,57.28790095770292,54.57185470798988,50.58798818473652,48.82614704879091,45.48525566046186,48.23241327366246,45.800121458104314,45.23942794027078,50.1958251223478,49.14688032299064,53.29469357716123,51.42579964127441,56.02319690468361,51.7449050470446,53.39624313757264,53.524686265186034,49.19672843590621,48.38813106445861,44.29662326676989,46.4357283670765,42.75733759009433,45.29541756746324,45.01427653771183,46.50434102478195,49.32979204046802,50.88179735308917,53.74034551441095,50.99896792763454,48.175010920145596,45.22989380554479,44.641477385972266,42.78228904380636,40.30402246424541,43.702156336750065,40.92469293184476,45.648893916556425,47.51241138781805,51.97225159095052,51.99332906142848,55.57977279917167,57.74276632178726,57.62386967434167,55.24692281958436,51.552987345663205,49.781343857497106,49.61159575308501,48.789534090325105,51.32245466248377,53.48801819224344,57.933164503821175,56.12019722507112,53.56548588438788,56.45726946785087,53.82142096316569,51.11926708238119,48.965336487393834,47.94570908197824,43.70957209735263,43.48701073134579,40.21367587247114,41.8924041552504,37.68683348266244,40.83252091324773,44.086355626527656,44.74370520176236,46.418354270537584,48.71909997390754,49.72477800487539,52.078942049854405,54.651110886977975,54.53549373343762,58.67437244213065,60.0241071078351,58.371164735307524,60.09032699441192,61.98693915159498,58.756512326284394,55.77704334879361,55.610453826660326,54.183717103744215,57.083123777968375,57.262008228132764,57.41011986937454,56.96225961091507,55.04946671501978,59.429008447928666,60.82264987770719,61.31266772548399,61.168969731266294,56.585785174649885,61.4955030393693,64.47583802837576,62.5189445852063,66.0654534273256,65.17095718353421,70.03515340585443,67.75684986731032,69.43357037843899,69.35514926135217,66.05807867939039,64.6111833787369,61.822223706752105,61.30834963378929,60.52958586787246,55.66631372464957,55.32613440293452,51.534876614488894,49.72689507857796,49.74615764587386,47.34434268254261,45.28726715799023,45.02728100174236,44.834329834281874,40.995544569308585,39.77728484315739,40.823166281186126,39.63124367362187,35.28345659301928,35.274283345736755,35.06962126259876,32.04642195462357,30.430874329395536,31.714982780801346,34.48642022564809,35.675845246930265,40.27605387296856,41.191276985932355,41.64461679583306,46.88837911538843,46.84214436575473,51.410959942219996,52.36357205132845,53.50539661994464,56.26271151551308,55.178450140394226,59.81730167901256,57.98965764111861,54.048979560629476,57.73640308016371,61.08550850786878,57.56860856941347,56.61025428882615,60.69333269242939,60.17359429897737,55.80939418099213,57.11714468976646,52.548042043070055,55.028748976824936,56.52601477817981,53.33454222428674,54.81411008737912,54.55285267350274,53.22504917185013,50.94711861861363,49.23778012159547,48.791769369164406,46.31882882722123,44.28780863149803,42.93949476000314,40.390739008554625,38.771585419569895,40.93876765129136,38.69924386714245,34.55754450872723,36.48875001804042,39.099103866096755,40.66662890011285,44.624686174636324,46.41537705537816,49.932309032093706,46.5389602470898,43.868574602465216,49.02283355538031,49.207710004284365,46.09514948048317,47.92074807448644,52.746031270607816,50.184044023753025,47.1581066725241,51.38774138250645,54.310370282304206,51.34669187251107,48.942089188861374,44.812497409261056,47.51601632251424,43.55348520403906,41.36665964118014,38.29839010935073,38.673727941107266,35.12149091642991,35.96686625160414,39.403682143052706,42.60530887798855,44.63970121759765,44.869746324449494,43.33477200957554,46.6775872861222,43.802658228589834,39.947447729400686,42.51213042726255,41.53987956030565,41.40332209552174,38.66217222701582,36.21665534617494,35.19602456801818,35.13406579424047,31.799426443481263,30.991927868471556,30.633713901481066,30.910078459223868,31.881051527524672,32.47810681685164],[25.928160206688545,28.993473381519866,33.97778643608426,33.07802466648779,38.893247422920304,34.97507676916038,37.95825148530529,39.347715555515336,37.31240937398119,40.413513914404646,40.86911883364353,42.041684354814514,45.36731421674072,43.106544590259055,46.6721229403922,49.13313847780055,49.61171900614772,53.49944973399289,56.29118645039996,59.38381563601937,62.50558398290216,66.70960278430641,67.25652962740558,66.82674847374996,64.74473406610178,60.259374883387416,58.62555170953565,54.55021997229547,54.401785806735276,53.12726054457503,53.92789462367035,53.55316129523586,55.22947266185198,59.49547593126503,58.91724620752098,58.36662771067181,57.674812161722066,59.81322346799283,60.356431975015965,66.39827069861344,63.75478071481375,63.80833975646607,68.14174925098825,68.56714616767871,69.72825524050728,69.17405843988747,73.44590020615618,72.73392292055725,69.03457339546677,73.49041523089954,76.2200699376812,76.58256791568328,77.7647448491065,71.30160693645281,74.08432848523846,77.55799296909366,74.52243245038773,71.33613126807425,75.19904482093796,77.45258277256275,72.56713973624028,72.77346737274357,70.13841214182992,72.1560933375279,70.48545632695634,66.72714386927206,63.06917148661616,59.46938208885361,56.518647438669724,53.01782319449284,52.291594240013076,53.035399521143205,55.06627597179123,59.59146012570685,58.87114516201259,64.56878417512263,65.12355510321403,66.83120010815472,66.98714575207184,69.27980814548317,67.17937275806835,68.0657762709957,65.03065409219276,66.40004273280493,64.33562264465844,62.11267368238555,63.69327574240131,62.982624477365825,62.722385746000164,63.708917907734595,61.02144076341963,62.35646547669644,58.35711730336301,55.79785511006375,51.73271712249462,50.016517429416865,46.5662916677801,49.61496282721674,47.2638337934959,47.057976089600196,51.758156974274435,50.84622494833615,54.759243705890185,52.91431561071622,57.35299953008269,52.98041771563275,54.74539945066281,54.66164713637447,50.273361108178136,49.6553416015015,45.392249607658876,47.38718099003248,43.66148644316218,45.91358392610658,45.5866252037267,46.80139485338437,49.63004613654578,50.89179528176582,53.79129533948853,51.32179644643441,48.34710032805673,45.51984008258283,44.680463702377914,43.00278229967578,40.732869517776855,44.0893876192085,41.62507499942805,46.32342668304886,48.28667797369809,52.87732048420255,52.656522836693455,56.405717331295655,58.396520831998316,58.52526045613267,55.830402443710106,52.089055331998004,50.075593189444824,49.79798728759037,48.79007520289548,51.46897194033096,53.30868797974281,57.8390773923497,56.193482074254405,53.76531369025191,56.81370449983378,54.394649236493926,51.641480492199605,49.752965268411735,48.90201808619513,44.77191597467334,44.824770610724066,41.72489284016764,43.73320839112842,39.76381377135058,42.7554537855593,45.85249569398313,46.22496728091495,47.90386992906131,49.98538420551242,50.91897854309783,52.92569572004706,55.46086997353781,55.00640144751271,59.27338751950027,60.42467648570064,58.475032819692785,60.329451898425845,62.011550260395914,58.80160255138064,55.794466215838256,55.838900168336956,54.47587824515436,57.630052053206256,58.01986864809779,58.3316191994341,58.124499140687846,56.20970714025521,60.769207413260766,61.9015043332427,62.46635481258873,62.022012586860235,57.59750069600501,62.38915434794122,65.25551373556645,63.17695629217593,66.69751249371744,65.76209902316917,70.52899830711571,67.98466137959957,69.76545774083039,69.62885399218982,66.46017684412669,64.97806235334558,62.23821438353258,61.81072163209193,61.037488612513464,56.14739082046574,55.989095815546804,52.18142823274986,50.621020644033194,50.736372558344826,48.56525538499176,46.31649563345001,45.86839851002024,45.96231654892852,42.16676778018329,40.461321764795656,41.71034380703727,40.97637451814606,36.331990433965586,36.11701599588549,36.187426947169705,33.349230500374325,31.27997914218421,32.47779654572309,35.02315293353012,36.59273000009295,40.616367835374305,41.86306877747464,42.551972362872654,47.7706374786648,47.921391438022575,52.432069535144365,53.634943079357654,54.74528437647878,57.61091465483814,56.552991594539435,61.09720107013387,59.09405335351173,55.05300088165816,58.834833957514455,62.013994199604895,58.31947284495898,57.39204731250007,61.443285632070435,60.677811704987455,56.27182266404601,57.63353593096041,53.22068012190815,56.00071203183909,57.62496862096005,54.612995755414495,56.312682466612216,56.28386623437669,54.94993914487548,52.4272306481532,50.92691591839119,50.69176319358556,48.01566456461422,45.86787783784403,44.820488915056686,42.33099402837678,40.428218675745605,42.71539465725543,40.70633733866771,36.440849393415256,38.13272428748306,40.851831827979545,42.16844250374736,46.206487688554695,47.938667623727554,51.386145462565494,47.88510135889926,45.03210971024913,50.186983007203686,50.22177739779685,46.98671130980385,48.71484856168021,53.54469254505638,50.76099840017971,47.61296146833618,51.87597269087016,54.75437994299637,51.576696564851,49.08368244405014,44.88997504014571,47.333505767575446,43.21551051932316,41.30596215398847,38.21292441149355,38.980040950781316,35.51256474601209,35.87588435770528,39.38443858336957,42.44836934900082,44.659406589004156,45.24810359333327,43.81008197504141,47.34839585601188,44.446544956818286,40.84804328954254,43.77033175394659,43.011712602526,42.99695614820714,39.91563318978346,37.57768368733496,36.87803554431406,36.478244983001275,32.96992412532635,32.57149567240204,32.52244226347808,32.80393479390964,33.83399391576975,34.62122846785957],[27.831029170049433,30.90284603311331,35.79411291321269,34.53398524564075,40.24671603610902,35.92026008041649,38.56797661811984,39.75959963337301,37.31663257452488,40.203164698727974,40.313379725884616,41.51247840717578,45.01047641647217,42.53882964818763,45.83248472535468,48.46090423610645,49.11889052284715,52.79248128691958,55.572985191590284,58.79892282981582,61.81628844326858,66.13953136128174,66.5933523249359,66.29303366343605,64.35331279430139,59.81360265675813,58.357710445969566,54.26229888214932,53.96729049020456,52.71337829569783,53.00028682126061,52.926694707770274,54.34118917031853,58.50951920732537,58.201494859881116,57.721951940609955,57.299667955365,59.52239683264542,60.261548019991714,66.4079713508866,63.78021712477967,63.509979398319956,67.83765735875522,68.44800093655154,69.61507503404196,69.27584194821883,73.51261139938363,72.71113114100446,69.23585671731423,73.8300999066742,76.41094704816723,76.8234117615509,77.84873703964861,71.3948256515447,74.14207655548398,77.43461091221235,74.33803005271874,71.10949675014344,74.8491991054735,77.07940710404947,72.03923798185977,72.00841102037633,69.25323365965949,71.18317778213867,69.7031755936523,65.99833148299052,62.12812995610313,58.52913488305258,55.491104970955895,51.89316532610512,51.13314959390806,51.60473268861804,53.66939396765094,58.27402765229838,57.67550563920974,63.232268795916355,64.11155011948006,65.73654472025092,66.14640561716243,68.6453910598965,66.73451723558388,67.86614672251359,64.96545838530787,66.5718039516924,64.52154421969787,62.050309112270426,63.3678547162334,62.56405355546983,62.05246870904361,62.797992528001615,59.96249222140077,61.00506334060392,57.02458575370176,54.55230579025448,50.64874922434292,48.685590796112955,45.41849055077292,48.712919605799655,46.595868864827516,46.5357677313202,51.33925860643454,50.86594945617933,54.73228403858191,53.29879106012842,57.97570633598343,53.78228172159177,55.7927762817374,55.92845888762859,51.631891227132876,50.74533667326181,46.465342194735,48.134022202413654,44.18114489526206,46.37679237500921,45.61936172066051,46.89498878838864,49.45654971392749,50.79224256179705,53.27728914472186,50.73819068808562,47.79939736494401,45.104188286866666,44.59219616880139,43.11697221449887,41.045726490980435,44.75765324917809,42.65953031229538,47.30637534270234,49.480141568775146,53.954293723722586,54.06883758364684,57.86818099446227,59.71064094664428,59.624624718333855,56.936599750338516,53.02936426652068,51.33499489633564,50.69764252175342,49.477476625118705,51.95626127684179,53.650465875058195,58.051380895617115,56.189931237819366,53.8867493596976,56.90501123787058,54.352285304485505,51.731013809646605,49.82444197954636,49.18226642156901,44.99179768962764,45.271523196322505,41.88000439768373,43.9521566880022,39.74161016192515,42.434395712492034,45.70184947311511,46.08019388735106,48.08645356695937,49.94851113322076,51.3342605316134,53.399412705239335,55.593942783795654,55.353912648308906,59.5553222209266,61.00506548707701,59.18266783426965,61.268173381520995,63.06743315397285,60.04114012518335,56.850068292264474,56.897892403684615,55.275996497431635,58.31737443120985,58.58255673262765,58.694713151796705,58.45556103316966,56.24642149723279,60.87570660572429,62.112830246254454,62.869694568986034,62.578151772087764,58.313478367792044,63.2824415160048,66.20830139994301,64.02364869603204,67.27309856952655,66.08506045143675,70.97383002891658,68.47932983143873,70.46212307347587,70.52576846075647,67.34129863049394,66.11999864896298,63.50290813653626,63.231696453922844,62.68691591799231,57.79261554396608,57.781628820523565,54.13019958790821,52.36821809913224,52.784815552198076,50.413025681846996,48.05989329150804,47.983666125408966,48.156463240780724,44.1469530335512,42.61190407794932,44.122063014110644,43.2537642463854,38.515695530711895,38.60021205731742,38.796900984118516,35.65574030568331,33.703162277610176,35.33080291860847,37.83711219422644,39.59450494094961,43.648766645798126,44.7108385589914,45.50564288319589,50.78268252381125,51.050985915216785,55.46918455065806,56.47265409834653,57.42024822267072,60.14428710448529,58.8494923607012,63.485953459285085,61.69956548561562,57.47597968028175,61.10741821680228,64.4900833426946,60.83394643479181,59.691701801175626,63.66783920744752,63.14967970688748,58.7253873217137,59.716220837237614,55.3982283268152,57.87657135242038,59.62417168051159,56.6909031597504,58.18701158728825,58.20353370443114,56.59282954901246,54.22322237073679,52.91121015645952,52.39760344509117,49.62334873232515,47.80324869697819,46.71195684057244,44.06972916390191,42.389440346929156,44.92331639748824,42.797416457141914,38.47834903637307,40.54976572106092,43.37444053059224,44.76273789446086,48.70863222306552,50.24877265246889,53.865686467940996,50.59017196771727,47.56668743462218,52.66995038065062,52.96950722209424,49.75604702676839,51.25258718749293,56.26696409632232,53.69848178776318,50.35772596851873,54.4714366252706,57.59882029972949,54.54460764689804,51.91565629914739,47.61040371781482,50.26636090486656,46.06790823833864,44.343554607716705,40.960621267568584,41.56676030344832,37.83584447237732,38.279340419338155,41.725733457315,44.913321683360245,46.94564165190048,47.53955566807414,45.68867851714154,49.10140549517703,45.87788355653703,42.44803195288795,45.19413767192261,44.569811556617005,44.135976940190275,41.13621792225713,39.1625452065759,38.166163458723894,37.41854749768351,34.37517559807585,34.154845605631984,33.713790552807005,33.75233781374745,34.56287035810868,35.336304790748734],[23.177284024385763,26.27336445780856,31.10611100539863,29.82874254529889,35.3827412634658,30.76472429725147,33.349301662331925,34.408555954298315,31.987811229129726,34.99085125417504,35.12009957069437,36.22105471515303,39.77515484905867,37.46794305174064,40.76679202832273,43.3081975499749,44.043731271091616,47.813039983120795,50.77530044013431,53.853156604733506,56.99546302892917,61.255402829817704,61.853872675959536,61.63911034745165,59.55976650302524,55.034647324684265,53.432575177549204,49.28622989057969,48.88080428849811,47.50501304281596,47.94519746187714,47.68989259543822,49.17402483305733,53.404218555469726,53.01402184357099,52.58651999871972,52.04022809176744,54.373963054633116,55.138192039509484,61.23473093858541,58.75180158767558,58.52474069596178,62.828239626058,63.49599373648935,64.79922904384931,64.50268150949307,68.74842059378773,67.806438977979,64.29941770497845,68.94125013750595,71.41893317448913,71.77605939583528,72.75453013758957,66.28245609969078,68.94266382972033,72.29518145410435,69.28375155493052,65.97419874013036,69.697978600532,72.03750461433525,67.04563811789737,67.02348536204954,64.26403404381698,66.34164872363854,64.82806161986639,61.034611137917544,57.34089858414398,53.65220295223172,50.788762362059735,47.13820894636195,46.52756888109743,47.197645261015914,49.07707477120546,53.67808966348382,52.85872254112694,58.45135738525038,59.16637521281925,60.75034329638457,61.059942497690784,63.51353906174447,61.49941028685467,62.61759515457828,59.638336048370874,61.26225009664115,59.27856976839248,56.787500351285196,58.18508225444128,57.30911297662766,56.93995138933015,57.69114167599313,54.96027521632826,56.15308956678834,52.143259687228,49.57923657236554,45.60778072491368,43.7596685857784,40.41559165752497,43.54345059201163,41.33134187355284,41.239781965464296,46.009817198978865,45.48027722315118,49.3545645791616,47.91982736655309,52.64326001193862,48.49038437567353,50.55913665515367,50.799494233153695,46.55377935742702,45.530149582431115,41.27616401060244,42.89938560717386,38.92633108435823,41.237467844990114,40.50124946476077,41.93476105753352,44.52694388398697,46.05972499384954,48.60283926756938,45.88765217010534,43.03788388799349,40.2237299108359,39.83060101178344,38.203189350130586,35.99524638956652,39.75822428289797,37.58145505259525,42.22604070030264,44.42624429442046,48.81802400920033,49.13828282820241,52.89552480924631,54.74072949088264,54.493177200157874,51.93221538760452,48.00647351833924,46.53498487054083,45.869957345345135,44.74541039732817,47.098432222824066,49.037305438223555,53.37410317575095,51.40090794541541,48.99542997608393,51.91650371577608,49.25019180567042,46.64221801534109,44.60870776563622,43.898005442216835,39.66998569162352,39.90630736012957,36.481545223741605,38.57973870492698,34.433095550163635,37.11333873150083,40.33117198190721,40.70361477697047,42.694848986017305,44.593947497829205,45.99401657210114,48.16826751817464,50.370596696464396,50.29063435702684,54.42729701978568,55.99967968915908,54.37728539484105,56.408341072329314,58.37611927334252,55.38651451110543,52.16604470384475,52.07405222417212,50.35989265891933,53.24299687425736,53.3955645620029,53.43089207504293,53.12151312276891,50.91425349006617,55.506308314635916,56.798608596042705,57.54308753821717,57.353358570818564,53.058083024001746,58.09904352405303,61.07898469502869,58.92316931963556,62.14552368777899,60.963110061699645,65.90391789990126,63.574266613060516,65.50628159631918,65.6391980420021,62.37973957653179,61.23424980619553,58.628607330783964,58.368126030327694,57.91927192375934,53.044790066651665,53.035452453792225,49.48875047491145,47.52903263488185,48.125664941191104,45.59111499278404,43.196349338933615,43.41502435536777,43.612737124999114,39.43897445355855,38.12777931780586,39.81148844750498,38.81379734632428,34.003371115244285,34.39401737436979,34.71996441408561,31.284592867174243,29.47443813735604,31.589219063581606,34.06486866339127,36.033936372651446,40.1897710645457,40.91895326391477,41.840831252162914,47.179825873604365,47.68955646903669,51.91073159413963,52.65606833172973,53.37034592437414,55.93203478814115,54.391373588448026,59.098282193979756,57.53361697155642,53.120920339191564,56.60627567390575,60.19200296001825,56.60150597711467,55.25901127929154,59.17069336230466,58.942348065473674,54.53335904386202,55.20419098404179,50.906991751368906,53.09670448927509,54.9049326249373,52.03095418656478,53.3863808634493,53.49624626876106,51.678193514164064,49.37050447553959,48.25350660585946,47.595528868242994,44.68907328782558,43.0823514943577,42.06256571855819,39.32614817708717,37.72533414457129,40.53806845246191,38.43497973128771,34.00235773717941,36.371080872180165,39.38570073176845,40.72871005490713,44.57048286320375,45.85605610056282,49.63789396447488,46.62641831251695,43.36444735510449,48.3925873024174,48.993719351194926,45.82027454379845,47.059520319266596,52.25982388136322,50.015585170280666,46.48177826054864,50.41388315394692,53.824843287341146,51.01292622908384,48.265010762223866,43.882903304918294,46.927055687795765,42.75417563212439,41.08019919554762,37.38579616918213,37.612863359025816,33.62146577126701,34.395987145724796,37.73048930320444,41.10462674350883,42.86400101399002,43.26815562980639,41.08737694387943,44.340053586642355,40.971527637612006,37.53087345471061,40.12936872958301,39.57252135114995,38.96279964320017,35.992142717517645,34.182012500383486,33.065366726662646,32.162774417824906,29.327989922652343,29.216333427298526,28.657988952576616,28.687513011383214,29.488155476850373,30.347987215119723],[28.517618358867576,31.383223416789725,36.02965815962925,34.09262594138604,39.655244639034436,35.12061866226703,37.30349567302222,38.49414539459566,35.53763711724637,37.98220208118436,37.817689059685954,39.27732067877575,42.6757507443634,39.8359731114897,42.95620895558788,45.78365110961649,46.42426589076129,49.827226712750836,52.42000729808158,55.849114416869014,58.671413591120434,63.11455848228209,63.38953047604514,63.13998707661381,61.41383063254382,56.83617218905076,55.6466166817864,51.597690177936165,51.29937825562933,50.24492832762605,50.05144673863997,50.45722740876381,51.72689997239286,55.69424864698421,55.56392356249093,54.985461364528035,54.942182883156256,57.014109750064215,57.883386032354196,64.1578488047301,61.40369600673094,60.79700065692006,65.12809461674445,65.8464783991943,66.91709955442533,66.76772706982014,70.95071119009108,70.14884578362984,66.94226935555638,71.62608015782773,74.11206502169975,74.62536861056827,75.52833526503152,69.12096166335465,71.93331621116823,74.98647715875731,71.74035495127205,68.56756340675878,72.2421802060808,74.31530038265515,69.12530361502138,68.95039316545119,66.15625048063822,67.86525140414939,66.51880058406496,62.949012961594,58.79877559570489,55.300078750138816,52.06627968692944,48.48350651733466,47.58582468461412,47.778398785033076,50.00171238528006,54.62448140202997,54.28876908018648,59.763432161997514,60.92461461984995,62.61330814966592,63.235037880234955,65.8765761383859,64.25632980307756,65.54921065327818,62.94683600463498,64.71658602686315,62.55788298671001,59.896043155110945,60.867749504675324,60.155730100159346,59.25161466774995,59.94717734500011,56.88227346379557,57.672926524179296,53.76230746921335,51.48920779897453,47.6919525173508,45.56220203365414,42.39950635371464,46.12109073469281,44.3113879845428,44.70269534445457,49.33848659897692,49.44331354228623,53.03185211951543,52.08382256394845,56.88866250122341,52.851835421246186,55.23943739425069,55.495345180295026,51.30764410728247,50.21970149325119,45.83456492698322,46.990539344311244,42.782850809361165,44.71754845865271,43.45624313945698,44.64005359094658,46.89018141586819,48.1614469711958,50.21240730950356,47.74919296163271,44.79640242359505,42.31844869060021,42.041745457204776,40.88697059100622,39.16915023459713,43.22718863576201,41.769434803000614,46.28593983449624,48.766501253435955,53.13785990800372,53.529750542261844,57.46482621722308,58.996755732172694,58.79089195359909,55.939454303226114,51.82974430789769,50.42544320681761,49.29447806195447,47.74847235716499,50.027546859460834,51.40566654283898,55.66417259530826,53.648717746323726,51.55426095631323,54.597634685094924,52.03172876234076,49.545599019575086,47.79196765444776,47.49363184963255,43.34776871413037,44.0793228427332,40.537597974277126,42.939871293880216,38.75326094358822,40.947973147638116,44.20378883558464,44.341666176237176,46.684141082666955,48.12284047594926,49.942161772439704,51.82621575360792,53.595961577578926,53.40071690996758,57.57074574640036,59.24507246334722,57.442715513553196,59.853969344294704,61.68881185011558,58.92083217143749,55.509190494632804,55.656586107504715,53.76147858510935,56.78026799200919,57.01947783457881,57.00304071020864,56.89330977247464,54.37199595348574,59.17589339740332,60.33060800473092,61.353568845826686,61.037930927850226,57.09349655631272,62.16696492827523,65.07580359285578,62.7036838723125,65.59821383832214,64.10317200099139,69.05127660629603,66.49730825206669,68.75195700058585,69.02618425311687,65.90438457891538,64.99171808891728,62.57101303590911,62.54819224901192,62.30991496119255,57.43214201855917,57.72624299712961,54.30779130153981,52.434169302250965,53.336959688890964,50.867234775617,48.251062669196145,48.571846249148706,49.05959987062131,44.81024108755698,43.20527246194615,45.21211399329653,44.49536600757383,39.44514668996799,39.82754970203083,40.41634425800418,36.99815521661298,34.920519285577605,37.12235168936725,39.390788517728254,41.707788512426404,45.399981234251854,46.344687973862854,47.48293908465397,52.812356442129186,53.44617003777115,57.630729783469306,58.491693648451935,59.118509842737815,61.682305937785365,60.03949443314359,64.71567196313175,63.14624298818792,58.56521175888092,62.02264693542483,65.58193181015878,61.87518109869316,60.428117799398045,64.24426787811461,63.9563741430148,59.50811006546652,59.96869772003188,55.911203434716064,58.13962188108122,60.141686609643976,57.476828225391834,58.85263714650386,59.1501603129088,57.143479775489595,54.78593788457203,53.94720505696214,53.23957157435646,50.15154627660358,48.70120297647532,47.84482198944326,45.06325812835877,43.44173249930607,46.44013516542291,44.400134248926314,39.90742222820804,42.30967359927568,45.40093361808711,46.6401004278855,50.48034194244319,51.64016834129981,55.44850007497138,52.470123125620745,49.025251488538345,54.0082364889992,54.62276016869851,51.37422669253779,52.41627267931549,57.700751485766844,55.36910107706204,51.64946315757828,55.514235769577624,59.00332244883524,56.05899497720008,53.168866029134634,48.680699677294854,51.55190799921381,47.188571606433506,45.90341385952528,42.068580648880314,42.60238943971168,38.57102544838794,38.898975525032846,42.23922777021173,45.52021014210409,47.33971431311387,48.11159447660066,45.744531502931515,49.0645562855351,45.428857894735756,42.40538301228648,45.15329705120637,44.874560112036725,44.0317663192554,40.89040547985406,39.46932048821823,38.37577413502188,36.935509999752,34.38834219813312,34.7044240114062,34.0694126146064,33.88374511484344,34.400569195611006,35.31425860607877],[30.931197777427954,34.068334118595565,38.87774730379689,37.48903908974806,42.9743656852186,38.129454590013296,40.433714045093545,41.22015652556936,38.43650801655506,41.18578590775871,40.830062104517225,41.859744587591805,45.70642897848993,43.15810402560739,45.99829881558644,48.75743080457896,49.774564353406255,53.20188301778204,56.093539050880516,59.3753283772552,62.32354047961254,66.74624454522439,67.16870105916406,67.09872998243223,65.27240351533845,60.694631531244234,59.376945173081786,55.24335124202401,54.65618395425229,53.293884441390816,52.95605147720526,53.09846051759288,54.1052883250669,58.19663108428489,58.27387245913809,58.01385646240147,57.81980463724893,60.30515168968908,61.32119887541805,67.51183805698429,65.05131320540693,64.41587881819362,68.69481908317404,69.58350860297409,70.84648171504794,70.78807686992734,74.97421499031576,73.97932973869392,70.75387432971907,75.51689880484776,77.84622348761383,78.27453815079207,79.07264579425417,72.63573044542838,75.24050868962854,78.3676955315782,75.28441758213695,71.9305711934897,75.4777511710966,77.77744698678919,72.59302548662383,72.22069121312502,69.27371357857092,71.20122983595488,69.99839316321714,66.30927769422259,62.28564677664586,58.63267169035442,55.62095480305798,51.84927605779667,51.1559912637965,51.30675019898292,53.28459240542966,57.99482708859329,57.41131004619263,62.71459315652324,63.98929696081168,65.39182492676679,66.12260415447078,68.89324207458083,67.12960963776409,68.59253210502047,65.75008540088355,67.67825999885228,65.75522865332708,62.973082686380586,64.03983418357483,62.98885820301663,62.306889657824634,62.62086192740575,59.698758931554686,60.36708197363454,56.4019153534027,53.96255248462514,50.33182070455927,48.04002001964738,45.091876985333585,48.49952772636009,46.63769311735216,46.5377712457329,51.58517260317937,51.53561155794172,55.46267009918715,54.47508913356891,59.47495101787077,55.522738605173636,57.717443365333544,58.1781234751915,54.01737118985211,52.77330273457418,48.59380325668702,50.00232341216443,45.86871530224171,48.129859725637715,46.94043787090875,48.40110215384838,50.649749795869546,52.18959712572792,54.17067239417257,51.44460891385137,48.63804536186739,46.063489802149434,46.035006644063415,44.71037462781942,42.773055714654184,46.834420073764775,44.967109314569896,49.54880404588655,51.87164383344601,56.14785096852489,56.70027621332526,60.4509156319246,62.2301122752846,61.81426552618538,59.29994680566896,55.26951012316977,54.005964311726274,53.06925130324498,51.722452752293776,53.91296844420738,55.58179850693361,59.78283820441578,57.63114290819112,55.42127826989124,58.321863616747265,55.53215951150969,53.09531646169381,51.0538277184425,50.55586618317324,46.27577288943289,46.64714441217571,42.87720168857764,44.8101748539891,40.23132477355306,42.64446647398493,46.176179809616734,46.725439308006095,49.07769172067021,50.809172425026816,52.71435636626906,55.01259338412923,56.845071190095716,56.99991346121469,61.05144114075425,62.90269512184445,61.352961801501536,63.60461333993575,65.60674901627326,62.76338413690232,59.41619630934311,59.37741073227644,57.475523681372586,60.27146129626038,60.30437291128689,60.1219364148126,59.72432614798341,57.204864981465434,61.78255666883588,63.274875972322334,64.1983532700669,64.22548216328578,60.06800419778361,65.25688716309897,68.28822058646074,66.06415420225531,69.03248182184771,67.60063702853817,72.64511135593806,70.33690439434419,72.47815206118268,72.77444341164983,69.5302670046232,68.58681430337447,66.07582657286615,65.9132186784863,65.57669662790973,60.71012376463148,60.74837443827634,57.25284868662001,55.19810502488639,55.82791668806928,53.17333538979996,50.83796590179355,51.17469427531056,51.26604519115479,47.07609636570496,45.927182646167395,47.53838978331149,46.332837185435885,41.70185238219194,42.11271801002587,42.262437829434184,38.82636651687725,37.19818027754108,39.14489731765115,41.7227273671051,43.419241187290545,47.758418589753454,48.545348480292,49.29378528854191,54.60916978566579,54.84031156525099,59.23171821122136,59.955854443711175,60.80986899519397,63.36082695847036,61.875083676576196,66.62753826974917,65.10804962760534,60.79967762259266,64.25763991820867,67.88767941061751,64.35389776925544,63.027542639342954,66.94505493836952,66.74968515801757,62.34252557810478,62.99693652424311,58.69886663817508,60.76685070550971,62.551021671122555,59.59764196219075,60.7932466506677,60.70724534236752,58.86705396981479,56.78621983086683,55.518209894136724,54.63941984408475,51.913832063593276,50.452039391392056,49.14724424414724,46.353496539421116,45.04332168948589,47.68662048202016,45.33605114573636,41.08365666372883,43.57806161469828,46.39462219911845,47.980192488428145,51.79693840030473,53.22268583093448,56.999742716959375,53.95794544818185,50.92213997022451,55.97271072894282,56.5442767808451,53.417700459282884,54.79062188694417,59.92902943544212,57.630792642582904,54.21636959524029,58.197199587118476,61.52729900924762,58.6591863534451,55.97118926008437,51.6133782128613,54.518100531674435,50.31636486871052,48.62605226068788,45.06088534700771,45.39009679533179,41.438418033794605,42.13609289782298,45.49743938407224,48.8282408249227,50.641650070864195,51.09022035514679,48.86056982800474,52.058432554562934,48.57591633703577,45.183570835922936,47.57986127702086,46.96165874921489,46.10384610557358,43.3735071017383,41.66877158563754,40.25120679561262,39.36970863415331,36.872925305007236,36.60373878247765,35.66715914491461,35.573721853765186,36.08349233696969,36.72360543068714],[27.704522584411638,30.965596783598134,35.734189253146035,34.67760590673158,39.91593807315744,34.68065112985326,36.97248754172596,37.388673514311506,34.75815134358607,37.78092420217829,37.34058900453799,38.015100312045625,42.156636261358805,39.95646029054038,42.638732303859896,45.25766848656576,46.556191940105016,50.09234152277197,53.3252866434508,56.36468098243253,59.509348925188604,63.84188023260694,64.49705621927583,64.59757331792976,62.56837389514285,58.01844220911493,56.47640258209848,52.25810670646205,51.412172037074335,49.75708468375721,49.51886161800226,49.308479389856856,50.24566752019723,54.47449641924593,54.56908037369632,54.53942208478826,54.11943412901792,56.93887068256923,58.0460414128734,64.11981988432036,61.969155386258144,61.386957093214285,65.60513067859871,66.62706297240682,68.12586356777103,68.14226782078838,72.33693472588025,71.10721155377107,67.82413616833175,72.6636961859117,74.81865708546432,75.13802088418466,75.84499297602976,69.384004998539,71.78344956726676,75.01760324548027,72.12209205370054,68.59969456559479,72.05791781671537,74.59669442426477,69.48051630839004,69.02445147991953,66.001833436101,68.20379674492136,67.03367975341226,63.18790101607053,59.432879058879834,55.608493567985285,52.90323146635146,48.98716526212823,48.559601993152704,48.90874229764906,50.55656257875732,55.30102089803806,54.350102365159564,59.60111411421036,60.74628587480357,61.95145325520502,62.62095997183036,65.39780817607625,63.43942080279916,64.96724079899671,61.904230544352465,63.91819849474378,62.19767615191043,59.35050878588199,60.567164822769755,59.2611144961347,58.86466934342603,58.984504225545066,56.2644908587574,57.03854810179812,53.012605156442966,50.38000025597524,46.769607293890274,44.51796722619738,41.61131646325823,44.64745568469848,42.6516256981765,42.218081270770256,47.46116116906276,47.24235809882784,51.36903653951829,50.33664732757892,55.458807375658544,51.60928290924178,53.7179666229989,54.38385778917651,50.30666066808657,48.8649758711257,44.85791411820473,46.37334604830488,42.30149756750707,44.847212187505455,43.74488091095416,45.50223134904049,47.7817178833581,49.6476950089273,51.669304832292,48.63928654854408,46.00633639016593,43.26666048507592,43.47352680443075,41.91110910991369,39.72917536378401,43.80064844871386,41.62765303484701,46.206600350929364,48.43402087024795,52.5555791943198,53.37437418117984,56.95791136303323,58.88149256649317,58.207834873007954,56.017157073866464,52.044199465989784,51.05723997392961,50.22904021406728,49.10266038927473,51.131450944122996,53.19657679058783,57.309921653687525,54.9884615540676,52.614041253666954,55.33248430218578,52.32693277341023,49.93250067777839,47.61336899328734,46.927016635060326,42.559225231036656,42.66571635558831,38.757815823827265,40.4164393953352,35.68217977674426,38.2196073817209,41.85196939034528,42.64174788514633,44.96218903524388,46.90426645055631,48.84429877179151,51.47157236379609,53.36299586629271,53.85724750014228,57.76835598504622,59.807577957991995,58.58651957202162,60.67348768657784,62.912951889689595,60.05722021577087,56.74562976621802,56.470519635922734,54.50373409818992,57.01810211528739,56.83525879722584,56.499196330461906,55.87145099514548,53.382523302032624,57.7801414467556,59.506059876468655,60.343024421371176,60.65330486755322,56.34666517134001,61.63827239592181,64.77653717240949,62.679808891547346,65.67676544776093,64.31228803772889,69.44321372679202,67.42451070685922,69.43061348084548,69.78492133885472,66.40590491166957,65.50747010840887,62.95593050147038,62.71599696530413,62.4023484258079,57.581271762486246,57.466565485994806,54.03609010505381,51.717503128700606,52.33683810929012,49.449080293985915,47.26089700377673,47.861199118476286,47.74115682859567,43.47559581778537,42.80524935513873,44.321147102261996,42.72413641731948,38.32575725003048,39.02027661139028,39.0229954272288,35.354188947117834,34.14634326587776,36.34463771580093,39.04345844335756,40.543212867766826,45.30798946675591,45.70357241403386,46.33169200946447,51.65875498702972,51.87135839794263,56.18213322003041,56.59873994251696,57.36735268242988,59.75386484468128,58.14602190044525,62.98291508018952,61.69448857954063,57.39703480278249,60.70863257041842,64.54191272977631,61.18371076515828,59.75681752818553,63.66113619740889,63.77287141840439,59.42210383767302,59.909525091690575,55.51055962447421,57.2214922703502,58.92109971615943,55.86552959336371,56.82824749507577,56.6051499941364,54.68664168224073,52.83018193446951,51.492104750100026,50.39197404463344,47.77717691438542,46.509151867313705,45.013584113000064,42.14836875447709,41.10622326528577,43.768985903057086,41.271632758314816,37.09685186961601,39.890000120819614,42.691590622646366,44.42687775660929,48.110272464239806,49.45420102625826,53.337463980551604,50.51170572580028,47.52127807444948,52.510307517941754,53.32178270535425,50.32084069855734,51.64864189873356,56.835089374213965,54.85413936925183,51.468104717086916,55.329852015396234,58.798760364336246,56.204291734854124,53.547364922180535,49.22993846739289,52.47928905227912,48.42726691193484,46.54871060566831,42.89831511298914,42.775353520904794,38.68630444858778,39.87850568701712,43.12073040444369,46.61253234594258,48.17281292926021,48.258738863008794,45.84224113273276,48.80305802112903,45.3134348036131,41.730534342774455,43.75870141168032,43.00492413303312,41.973179964424844,39.550241984511864,37.854968194541954,36.13465523118923,35.461030222960474,33.22633994074378,32.69756731278626,31.4490047075959,31.312747372429023,31.78019266186773,32.32381028372761],[27.948034067022334,30.922685816134603,35.39512354936839,33.62911188999154,38.724783350088586,33.395519508795125,35.223789874062476,35.72495671853094,32.57980720811306,35.117526631175295,34.4510058951431,35.45745550337759,39.41435000845535,36.81592433128051,39.386218495105865,42.20661188532966,43.41690505684256,46.70097301498922,49.71145653887286,52.960175102819896,55.90818459209722,60.35155096152714,60.82110035438823,60.93428398424177,59.11038452897111,54.530015060118465,53.249321736969435,49.09119027575052,48.29565468222427,46.885728761741774,46.23281610105148,46.52180607492886,47.38339553021277,51.404524481581966,51.61630553164365,51.42686518179344,51.386857266271825,53.980908343424,55.17571234904007,61.380855239145184,59.05569370701743,58.17745048153403,62.40786242092649,63.49304731242793,64.86894868864276,65.03608304288939,69.17503985210132,67.98597505739913,64.9483828351757,69.84587284899585,71.9461448388972,72.37554023609772,72.99788307639406,66.58913176475379,69.0929368392531,72.09334184546796,69.0316319554455,65.60285311568677,69.02714404052642,71.3729942088959,66.12202679264763,65.57710857244335,62.54885526676394,64.51394585580843,63.43159398971782,59.72814468321934,55.69631813548637,51.98851420321147,49.067783821125325,45.19303305464428,44.6075925177211,44.71754168687227,46.54660567825973,51.29638814288255,50.62721210117972,55.84721066176744,57.22271808055555,58.54764831987712,59.38579973863436,62.264446644196205,60.60028797788463,62.237942490494476,59.5002986085287,61.621873722024354,59.75128352380296,56.759406054585504,57.641642931440586,56.49404096135545,55.689766865991366,55.84709600074033,52.88425022080898,53.4566690000423,49.498490851450235,47.08160204933883,43.527291006346225,41.149852932320734,38.2914702209984,41.799225243403235,40.10242737678806,40.21416132157895,45.19967542391685,45.558022360860974,49.34038594345703,48.764333457976846,53.93977326979758,50.227119345934845,52.71580669352576,53.43378283785857,49.45693954724011,47.881358739573606,43.74195913909882,44.73065662000444,40.41968860190238,42.650509860229356,41.07465419816074,42.69658309276601,44.68829728748976,46.45066073547643,48.09300953950469,45.17236694095605,42.50561636814326,39.979328664630714,40.366656585761746,39.12634748458608,37.31339924956604,41.68700401443864,40.188235776184065,44.61795916286412,47.147128277597055,51.19039478403887,52.21389480322953,55.953971507841516,57.541669431039644,56.814471900760566,54.4028307601172,50.241324525205734,49.48211342418127,48.17820529750423,46.726274481636494,48.58888329852473,50.31621978321331,54.30395710471025,51.872660708871535,49.70959141643568,52.47131635577953,49.500096618980635,47.22138963106005,45.09955959519173,44.77221501478152,40.48364419762502,41.08999658491488,37.10427881679889,39.18420661969786,34.58677743945698,36.58379960736273,40.13423091111178,40.597641803689775,43.22791819954545,44.70509452160939,47.02325677057481,49.388297478576625,50.879348815301164,51.34210429235434,55.24475805254301,57.447544860749616,56.19294655640113,58.597705858251885,60.8298834160893,58.22143513015349,54.710055888782165,54.560929177607726,52.35744604759045,54.893608801433004,54.73256081072435,54.31802457161857,53.87219246877534,51.10112860038722,55.70904057375745,57.28297836143527,58.381951431230206,58.59045668036148,54.62221348940666,59.97353963902831,63.06537221714511,60.769466956288746,63.43356094050234,61.78273735768647,66.94052302069095,64.81841557120221,67.08693339285637,67.62030585279217,64.33118165476237,63.709462290970095,61.35414590415148,61.364640570098075,61.34242275442439,56.541244051775436,56.75309472657386,53.5500829305435,51.19017234825182,52.29659820164853,49.38586329001075,46.901238836852464,47.833785700978204,48.09163933597587,43.62306398863389,42.76790108912584,44.8046322757024,43.48750651036543,38.7250738878128,39.652621129552884,40.10804176512724,36.243287460697545,34.799945943840186,37.52132680702975,39.92116844683749,42.04592943076155,46.30258790504539,46.65698463592058,47.67528836896191,53.02974496449844,53.670638896788894,57.71073602232716,58.056108179615094,58.49798183077054,60.75220241387826,58.81277651629716,63.649278851613,62.52454257818792,57.86451482734164,61.02361666392371,64.97548797481731,61.53062895407193,59.82063474358399,63.55428383793634,63.83123328464295,59.46059690553349,59.4514852602557,55.34672759743535,56.885146539399955,58.85696557300603,56.1185848270675,57.02886380625091,57.15881756531745,54.857382037147445,52.93735375152109,52.12907066388731,50.91793153940397,47.9361056403019,46.99376873237982,45.83799752121912,42.87280011828065,41.79171422018515,44.9385246242834,42.62338778370986,38.25612196796944,41.26873644312088,44.357946164025506,45.85413101507412,49.44563478444015,50.39148745052953,54.42782752545963,51.87038954000675,48.42375552265239,53.27818553281095,54.354535611218104,51.296095468514814,52.15262324329187,57.586698397979326,55.78910314794208,52.01803271487679,55.63449075698603,59.433884432585565,56.90826771768504,53.99025348944345,49.501713540805284,52.90091414025619,48.68287411833708,47.27451652008071,43.20416223853096,43.08415355072341,38.74713037095589,39.73725780767881,42.87169136891802,46.412719265197914,47.79447349276554,48.11366640039935,45.234112705010375,48.13535014437887,44.260006892599066,41.141330962844876,43.249085458504304,42.89849324662499,41.502205805342676,38.85315414059506,37.74615097204851,36.04148464757823,34.594299292547596,32.81472895134375,32.9318757854021,31.61538837404839,31.245680464387693,31.515489528801755,32.27702922927708],[32.92869360356252,35.945799820008325,40.48029979094038,38.688525769336195,43.844945772982385,38.56330311013732,40.33617219346548,40.800764231414945,37.54977163804105,39.93239874113414,39.08872094102845,40.0976804182036,44.105490307126985,41.36822599325057,43.728029263407095,46.647566508821996,47.93083331030094,51.00952099163269,53.89647005546568,57.27192748983047,60.07018700406177,64.58914096325995,64.92233569730061,65.06855513132628,63.41821543652612,58.82863630003251,57.73412603164778,53.62186695006565,52.799497465204105,51.4540864924881,50.41566576571352,50.94783004501571,51.57348474382995,55.475375765278514,55.92268022170443,55.78446702912789,55.94599375881684,58.54509449135543,59.83148736687043,66.07465049225858,63.710857253537114,62.64092809770988,66.85404092904099,68.01167820245806,69.31247045256787,69.56938841269591,73.6679776505938,72.51077479070986,69.61993358748734,74.54003428028119,76.60731485715839,77.08759492145768,77.64209739014764,71.27244404148878,73.77711608177626,76.64903120628024,73.52828813020953,70.11857396312642,73.46312230685234,75.7428430584267,70.40166729245968,69.69816848568479,66.60159309902355,68.43053738787157,67.50649971240222,63.903347374194375,59.6758621297076,56.04190614233441,53.00627121086177,49.13146229759572,48.454762269940055,48.2525526877383,50.18481401792128,54.9484994393954,54.47655276398583,59.51353888502435,61.201985710644784,62.45502712803009,63.51929996155595,66.54470259387178,65.03997109295123,66.82749996078024,64.19149988824336,66.42941743425482,64.56475225067578,61.46679427733876,62.170204746783035,60.98110805039718,59.98735919700277,59.949882960426415,56.876714673600134,57.147006494666954,53.253496284512565,50.95134616314583,47.60674976671407,45.01582629544408,42.39120268371402,46.050169555109115,44.55483059386861,44.67670053285421,49.74576195763019,50.31952496504518,54.099074510001486,53.70649521521109,58.96023988324073,55.31726617762995,57.83263902557492,58.5958063330701,54.62965704916529,53.024096082321236,48.90509287723986,49.835035983139896,45.48537450964945,47.64525982948265,45.89847983694179,47.4577708097071,49.29175964886703,50.970432370682005,52.3470167261201,49.509654831113494,46.84397160122799,44.48221543016789,44.959367424867814,43.901500854814316,42.24968228552627,46.69262067907945,45.331534228941756,49.74001920559172,52.30370515185404,56.33463659755649,57.36797060314447,61.12340661738867,62.68222075716032,61.94910686378898,59.50783032785505,55.31524100788323,54.55094413198474,53.155158243059525,51.582673304925954,53.42439941329733,54.944537246546496,58.88706787092358,56.43114960089568,54.39781633822557,57.178971834060675,54.21347990956211,52.00869867461395,49.94564394983385,49.729866712018286,45.45573591193994,46.12441194803974,42.04806591615369,44.04106621219356,39.29107680001833,41.18328343280231,44.84271935763293,45.37372202450875,48.13121543721747,49.52045727493658,52.019762693869886,54.382265367392684,55.7148018914332,56.20771386867929,60.089549095218615,62.35693555449006,61.05899092525508,63.57287861786014,65.7555078781119,63.197012179377886,59.64527690998861,59.57073660089766,57.32874042813916,59.88684602865279,59.72077872349424,59.24805246855075,58.7969543533946,55.90543676191226,60.50611190422997,62.13448672481428,63.31167857985936,63.56975228026811,59.68036694181101,65.0567908844906,68.14557737395015,65.81149732524112,68.37161505126527,66.61215831466876,71.78324748719207,69.61627636906852,71.98874494557394,72.57096426119436,69.31917457414166,68.75758600282492,66.44026029014704,66.4882043195115,66.47855840675066,61.67030258631789,61.90291583186348,58.6765523790732,56.35039852471296,57.40573867241696,54.50506775367828,52.053128273802734,52.91770024226726,53.128671870793525,48.70215684672109,47.813161581124824,49.76518510369378,48.41831854698707,43.72240947950458,44.53977341784881,44.88704046919568,41.11173833148375,39.659459363091884,42.155056045021986,44.62201195084058,46.59354607836554,50.90483552744626,51.40023488471961,52.31786865878703,57.66744939915112,58.131459486416944,62.31282065994705,62.73744142965238,63.313648227838556,65.62431337471018,63.7844762778814,68.62361948961473,67.43806786296227,62.8704951162833,66.07694300492606,69.98459240682635,66.52979941882145,64.89026739763044,68.65354011552266,68.84426244128987,64.45993747779303,64.5529181343743,60.434248382926924,62.0337620808144,63.978739583017834,61.18641009697902,62.08728136266813,62.11124552440466,59.87151569701868,58.0121524433555,57.07644702723971,55.83435792679387,52.96614719411131,51.99241900821564,50.70439864658802,47.74865421571251,46.73426618505653,49.723827639023035,47.30585944808061,43.028143902895145,45.98030881873755,48.945396536348255,50.550201889637854,54.185339509279395,55.27618960575401,59.26473509362758,56.59518833624536,53.30146631481659,58.208270055050036,59.17154141561887,56.1040250205908,57.10326528961854,62.46784003437424,60.5335141722885,56.85596671261474,60.5672537226265,64.25297675193855,61.613504267920106,58.7455128159477,54.272962612398416,57.50014063572335,53.24280287338063,51.806579591117185,47.86694202929462,47.92054098647011,43.66988922465649,44.51675999990051,47.72187452110276,51.19679870393605,52.70297098912345,53.109703513527556,50.328508260183696,53.27889633035138,49.41379121029455,46.30345610937238,48.40829348648558,48.003926785239294,46.59792946027352,44.02008934370366,42.86263773626037,41.107682908535736,39.74951569072692,37.96768310238227,37.972954308897826,36.59309946044562,36.206895467893666,36.388565595726504,37.033858196582536],[32.53972553786821,35.831921379146195,40.554459296026444,39.49267449583968,44.60986933695047,39.16265953264486,41.252183039057236,41.395523882390734,38.59162408102113,41.48336419394834,40.70029476098235,41.220616671564045,45.598372863760666,43.3539986985321,45.64782301921123,48.352550573814234,49.92052614361657,53.22610420393594,56.49568218055383,59.584210198841845,62.63940641551757,67.03859801518047,67.64205692502453,67.90054635635165,65.99242148715989,61.43303907068157,60.02695982874412,55.81233496908524,54.76667025368713,53.043833571442974,52.288273859321095,52.25397597749239,52.82122702254164,56.95971119755919,57.39590033577251,57.558473028405444,57.3214259807727,60.333860379193275,61.64107843427914,67.72119459764033,65.69042881843184,64.83793267292054,69.00322894623253,70.22079465798619,71.75901198773076,71.96841951446129,76.11177151357187,74.77335368955562,71.68413124367207,76.61931402308913,78.60770588656231,78.94155071267569,79.48730871892477,73.05919872329486,75.3462776837972,78.44691662857967,75.565622145264,71.96636713064733,75.2598728409371,77.84455833788273,72.62534486305694,71.89024357236815,68.72143775281916,70.89652026029052,69.96561789865876,66.16227528331315,62.27811176099176,58.444359850584696,55.74976107021362,51.73034516792687,51.33273617754847,51.37555010869158,52.97327096802488,57.77445468070684,56.87643053748878,61.86417377159351,63.368929354118016,64.37066744242381,65.3242089048835,68.31915999226068,66.486819589388,68.27819388791033,65.25792808585241,67.50460131861327,65.89813149897432,62.83610474204887,63.857621238260634,62.35255837326066,61.82533104936281,61.566728535695674,58.79008046107012,59.2103111215491,55.22719221275836,52.643726741372035,49.31926264816011,46.78598003102623,44.20884750586215,47.297509612847136,45.5316334343199,45.001188345108424,50.44307970012462,50.520813366791536,54.707865287493185,53.98757615491545,59.308591627997394,55.64918927062354,57.816005925362916,58.69230735703629,54.71234897627457,53.069237660735496,49.1766490221608,50.56254603347493,46.42254210958552,48.99471804097059,47.61791198099441,49.466403854139514,51.50910974287663,53.46802560093258,55.10738827617204,51.99260923999978,49.46004417285741,46.85306777930555,47.37034356631098,45.95065812161796,43.89421172592272,48.14334466446653,46.106652651728176,50.621936258433124,52.90198810282921,56.88693197561156,57.93953252400021,61.46434595483393,63.37402859104076,62.5102629149073,60.4486577291781,56.42997790008112,55.66624810111863,54.6862801276776,53.47590152217137,55.34000529055456,57.33168282376677,61.31220784708475,58.82301831086768,56.54345983203636,59.18104512398172,56.039368256132185,53.787885375195586,51.39718929739468,50.80856048801357,46.41149371975903,46.540617286338346,42.39847323889408,43.855808869606136,38.84400656427304,41.193160448332016,45.02498225512749,45.99479804913201,48.536416473796145,50.40295806638371,52.6914040089732,55.48131608225198,57.12260442755768,57.87707030884533,61.672536214540415,63.95697798331918,62.888147275484044,65.07438287036615,67.40644358298441,64.65495447000147,61.27057084293615,60.96313381298438,58.85205732672008,61.21623114467516,60.88752699769362,60.35563734339848,59.603094615642995,56.914217259405035,61.22944939292354,63.15571436358007,64.09159834844986,64.63659065878774,60.400732150986514,65.80858276678178,69.00582527925268,66.9034741874649,69.71976080275192,68.20058497319293,73.41516384610115,71.51154294282291,73.61653619856574,74.10777218222408,70.70332637033515,69.96602892926913,67.4755079402327,67.2840358781383,67.06103321080275,62.267779432506686,62.14747597665339,58.78114604527863,56.3284437897256,56.97783591786307,53.95142373300048,51.84348384407365,52.60093164045506,52.36381248340613,48.07589953167417,47.63355001288934,49.0883316055415,47.26656445024608,43.050536335309026,43.833998242380595,43.70235183379213,39.98590862957796,38.989073838619284,41.154562935025645,43.93086750616325,45.228788367139444,50.19820897189325,50.521381415005926,51.016185343985896,56.32055059821652,56.36214374789999,60.73712207049708,61.04518864582622,61.87136778526022,64.19016016920187,62.5748726146437,67.45573381303888,66.27639783669429,62.05198126106467,65.2890364435678,69.21128212110172,65.94697626008244,64.49476224769116,68.38875706622895,68.62057329828198,64.29225293809144,64.70528837044067,60.2888820135095,61.80552821179916,63.4663932804035,60.34372913404968,61.123013196742086,60.73955531569143,58.775580435985894,57.14576028546015,55.70652513162267,54.39336884260114,51.93754696420239,50.83660010275109,49.116293730449435,46.209169512270456,45.43681507198469,47.992316188250015,45.314219400090295,41.30482241602276,44.244085981892056,46.9063938681077,48.82529749694511,52.435820849549415,53.83006585564317,57.73280689304511,54.968707196266244,52.13434087026013,57.10195625831053,57.97084597933226,55.04121780022377,56.426069417257985,61.58427298460376,59.67124394247204,56.360954022776625,60.20876764341385,63.67306985613472,61.12486524990843,58.509281407238305,54.21673615173483,57.47973037127885,53.448950456778896,51.51878524294912,47.912622053125254,47.733447948505656,43.631105466231766,44.895623110264026,48.1203834489261,51.62933235814732,53.14872637902063,53.16797454069991,50.66129504269884,53.51333020339634,49.947913299028734,46.3677116929243,48.162963790405314,47.343324399303384,46.09769583030567,43.93010013093564,42.32496491085252,40.34697661350652,39.73330202755058,37.79914952224697,37.12252925661864,35.570471486162006,35.325482786099904,35.58328327022517,35.94962624160416],[29.36807466019215,32.56697520358537,37.02600305692456,35.90683110216884,40.65184129566867,34.823443122049866,36.62293688138255,36.435557713672004,33.52534182689696,36.41147999383748,35.4239710661014,35.74894518786332,40.30872067598669,38.22288391022962,40.28584845048843,42.94057152717992,44.73180764449472,48.005000593672754,51.48307785949427,54.42620354660214,57.565208598874506,61.91721608284187,62.650701135415744,63.073414834859456,61.07543979003819,56.54531568927821,55.05569933706005,50.808025432479,49.54210784783871,47.66708459160305,46.80868926832585,46.68132484902485,47.14868449066054,51.3103227283733,51.81177986209102,52.109353737913025,51.846235271924904,55.05213915232983,56.483884895213265,62.5016688121396,60.67924946632235,59.737243768854675,63.83992778555524,65.20784481470986,66.90610605394265,67.25659594979845,71.37000811805778,69.83456326655623,66.81724504672061,71.83866454962805,73.63344285967152,73.91968131483713,74.33968004257356,67.93054655409192,70.07753890358136,73.15583703332258,70.37229002738388,66.67198505146688,69.86437343212516,72.56693229392828,67.3600376335832,66.51550045530956,63.28394986790403,65.6014057620092,64.73431647155452,60.85873497498733,57.111163230942005,53.18142930842213,50.688997064865596,46.567602787767925,46.35624231214511,46.487892273909246,47.84135188053708,52.65833073483152,51.54150457528074,56.46505409833977,57.9367956884671,58.8171215574823,59.78139249673425,62.8202424457711,60.952184633866835,62.84844612206475,59.79368496696585,62.16817770141517,60.67599442388737,57.48957356173862,58.48285820191306,56.82462565324146,56.367018868400365,55.95628439223563,53.258793300769796,53.697555694315,49.69231794757823,47.03064943489631,43.75160615233495,41.206470111292816,38.69510483745201,41.64558866409067,39.9053752289705,39.33733351342276,44.823901067254866,45.04828983996978,49.230702785596584,48.714930672874324,54.16745624345303,50.69024023098879,52.981478051405205,54.07622023795582,50.24846485591592,48.34829659902993,44.56750824145758,45.75845530425359,41.573306204924435,44.24007194162978,42.70792178006637,44.76541853159337,46.67806165907552,48.89035874908452,50.37528739083202,47.03629140231771,44.671296945313095,42.026356613323394,42.86289410770516,41.3861900936798,39.29877627734292,43.68209374603949,41.72628726982686,46.126387570709156,48.46499099101451,52.23834176138385,53.65253885210144,57.09101902012449,58.94416286598018,57.811216266094895,55.94353773034354,51.89708453874317,51.525047607639316,50.400364118113814,49.23822740997579,50.849371586911076,53.03870213931899,56.84930266854382,54.15786385176603,51.83691890868395,54.31013143706852,50.99216535299098,48.85160699068061,46.305483561146346,45.72589284170189,41.307335911555086,41.44714018903908,37.14104885309757,38.55338655015065,33.471523513337104,35.628479561524365,39.51360101190056,40.541581983574766,43.21395639465959,45.02801419184373,47.545715905545464,50.50045070279593,51.9808906411686,53.0408543282272,56.68238822096768,59.220332595353455,58.450327551131686,60.63660558746307,63.1783663775965,60.55738458024993,57.117594721390724,56.653988555158975,54.36702284997093,56.46387239771473,55.94307080977432,55.22618168633534,54.35492288653417,51.554812540608474,55.7999928856101,57.8592789210718,58.848933924165486,59.60320725827805,55.421359752072746,60.940687963592644,64.2037966650999,62.11995079565165,64.7798770680942,63.18157267280915,68.47764315296521,66.79641027666594,68.90333062138157,69.54175603748939,66.0661202322997,65.51859426352753,63.1038472506298,62.97553764267692,62.93382699828557,58.213086377172516,58.131164723599504,54.96988335821224,52.256462576569255,53.17350569418349,49.92907002982416,47.79997873910859,48.993949512833815,48.78023376226251,44.32672692333362,44.23472215799127,45.89219919345398,43.88035460420631,39.70007677209486,40.881349754280755,40.882148215139416,36.86013043831449,36.13282529647439,38.820516557152025,41.50709352261142,42.98962906760006,48.008938565435365,47.94399364383233,48.561656753676615,53.86706135995464,54.16505440513878,58.27436726762511,58.255464131021746,58.7961232251785,60.87460665005167,58.94939917691181,63.89267526372818,63.02833691609123,58.60958613777324,61.608713802694666,65.77522562425169,62.63181313714542,60.925744730976604,64.69496627453054,65.30708549683723,61.03402535066412,61.00553594940239,56.68108917939793,57.758432147652364,59.492876983203836,56.4735599218489,57.00436550493536,56.70847088528988,54.44888732940973,52.993420726500716,51.81222153755305,50.23216373438086,47.666769347209694,46.94797520330598,45.26346135565146,42.24060328234457,41.70402186721065,44.56124460849033,41.87408779483169,37.84036795159382,41.17910218198147,43.992971378075545,45.88821863639023,49.30069331084104,50.36668852083344,54.44522390703285,52.05817214382711,48.99814827440037,53.804292833582586,55.05136821367461,52.21629623884838,53.270268550496525,58.59874157666227,57.09577407052808,53.598651475736894,57.17406847322878,60.9455788241102,58.7020332708362,55.97343992145627,51.6419075813629,55.2937490548154,51.32549410730206,49.50657559548024,45.60338462947003,45.00765151999183,40.67052480318253,42.272526560678415,45.298045740722976,48.958477682282336,50.13163694175521,49.943108761942675,47.01530659326669,49.590578163045954,45.827302885598655,42.35012715331354,43.82033025374007,43.10847464899396,41.488108725674394,39.50717371666857,38.261668884497986,36.0071324929507,35.1591883762685,33.76702268719711,33.21575064175481,31.31743616184537,30.895075952599562,30.98056686733462,31.37452699271587],[32.77904927148031,35.80285189749628,39.95617408314077,38.52399365310137,42.919434818254295,36.82478317869603,38.10755404974818,37.600410261753474,34.30865578209511,36.789689018594856,35.308073104187336,35.55621108420965,40.25371184604231,38.036004290670085,39.54162987907485,42.31950167237946,44.39747192088119,47.281908109541526,50.746699181707335,53.747074881409844,56.72057596615932,61.13853238552526,61.78766233362688,62.43178461104342,60.61530133123171,56.10640422868095,54.84155096133428,50.64979187555868,49.14142128717246,47.27548355779816,45.68646015231764,45.93533114979595,45.96233142043216,49.90730426625707,50.818762749762385,51.275416791704494,51.361709813969476,54.69301614881059,56.3905868861363,62.40970213046275,60.710169447369644,59.35079972970811,63.35773175724907,64.9905763596738,66.7250011729799,67.37568117377909,71.38529772526805,69.69639078409509,67.01339471891765,72.15892455373015,73.69238186825187,74.02258797713417,74.2044310244709,67.8908167000644,69.91569979717877,72.73159911592633,69.93903156601547,66.19154454902359,69.15496474248742,71.8409725382688,66.50635595290858,65.31711647861715,61.934593304327265,64.16126147509975,63.59356090935636,59.81499954770237,55.89545161713338,51.999853409796536,49.52528371284754,45.31752632156391,45.14713964515857,44.90767068855641,46.17082034319444,51.013064833386146,49.99334007616064,54.58523008529309,56.49151451904074,57.177937760206966,58.49434054988884,61.78996166255115,60.18095336682475,62.40788864773478,59.55459852983442,62.232610591317986,60.82573610962978,57.344592312063085,57.97785304367176,56.159835260732216,55.41143614690398,54.59703470193557,51.77823756162878,51.779616423309164,47.867378257567815,45.347969596819254,42.429677512941296,39.56372742934796,37.46612031548448,40.60445118251061,39.2719052583594,38.88141240195612,44.37485833323752,45.2214633551549,49.242224364682244,49.32052066710386,54.97770207606653,51.83619123191931,54.38808301656205,55.75904740955353,52.14999688837786,49.93935361051117,46.275301695860655,47.020862833800194,42.69877090225114,45.24373061120898,43.205003091300625,45.34027242941329,46.82936699261793,49.15881007140675,50.038561510423094,46.61000913184492,44.42243263207196,42.01889228825885,43.34386353636664,42.1387216325914,40.34906063677266,45.01504235754013,43.537940943888806,47.72171230972877,50.24117817160218,53.74802745470295,55.580307535693166,58.98587210980906,60.636043677561126,59.22054075085718,57.447443805346104,53.29667503847451,53.37063271835737,51.85509382649953,50.50264519223002,51.78000064614445,53.809254290347106,57.34245336537199,54.39023146465176,52.25632909482758,54.58754106932834,51.11991997500014,49.23001160060243,46.676641922629294,46.365560203621534,42.00715426955645,42.40834625863923,37.85796537553318,39.25696436453847,34.05749041124082,35.643306978140366,39.631605226584746,40.671385267182096,43.71513591794275,45.18982363588803,48.26916069884366,51.27759760238658,52.26632168417706,53.658861848412855,57.10000081942528,60.0166393783997,59.48872023490041,61.89359119069819,64.57724925549725,62.22516466181443,58.6336665644881,58.14385035331084,55.572801940343325,57.42736573604609,56.7163310203646,55.719864283432635,54.784039851916084,51.64557129126708,55.853105593949195,58.05928165219182,59.27921946735707,60.27206390761623,56.36667525340419,62.02061276012338,65.31819818109338,63.15468433913556,65.41941891004069,63.52589863711457,68.9132440815637,67.38234841462459,69.6895584158175,70.5853489081454,67.1223639022435,66.92058901509675,64.69268089202387,64.74777804831687,64.98779969115316,60.35373681875076,60.433587110461104,57.52397094758441,54.6068235476249,55.863700645872285,52.4427904297438,50.250538391941355,51.865997810899174,51.74352221142931,47.157689020898886,47.27807898072105,49.17847951138288,47.07500029098705,42.915721993817336,44.38339993789697,44.528583894336094,40.32333090697426,39.73330202886753,42.76164846343596,45.33076867452039,46.98976034314404,51.9279552216872,51.66843553570022,52.39978775197524,57.681172338477666,58.1265338277644,62.06442046791446,61.81683241951554,62.147781772640236,64.02034575629017,61.83197852658162,66.81164726966036,66.22558887550639,61.64476216082719,64.4148147007909,68.7788351622992,65.72521785221015,63.783932511069004,67.40446636686426,68.32364673245291,64.09451499209729,63.61948853427354,59.47262084667149,60.14907919144951,61.9963160752894,59.1267851258585,59.39187389578793,59.166207507976594,56.593913937195886,55.36707315756003,54.45730809474715,52.568898491591,49.938184406061175,49.64986801644101,47.975565528401745,44.86249301074835,44.6044667503191,47.679780012724514,44.959639330789486,40.99480323575562,44.63993338528008,47.50977781415298,49.41128557853821,52.63899936090346,53.43997166165527,57.64200302253782,55.56712721516916,52.357291788130226,57.003493161531296,58.54006833642934,55.776728967819956,56.543050626693045,61.99886346650762,60.77487898348015,57.112003532292064,60.45814412852541,64.46839131711127,62.40309781035304,59.55970919529906,55.17458818529457,59.017870608572146,55.02488077291306,53.4166606360977,49.28341493096069,48.51813959451724,44.01702037406175,45.680615434219206,48.5616537849069,52.284895855627155,53.225354869736314,53.019602481843584,49.68786910693902,52.030869271660066,47.991754273114424,44.8018779506876,45.98680178819528,45.45815249275884,43.37205354031209,41.58683644863204,40.83304568461183,38.315010626150645,37.08482677756221,36.35548058387608,36.035212158622194,33.78719727169113,33.110206937111414,32.86857375521173,33.224341162203075],[32.67779323799326,35.43782603521044,39.26500623313462,37.410631839115084,41.53652168603747,35.38802655096513,36.24827611023313,35.703888966135,32.07348235737533,34.149573927267504,32.43055972177391,32.84473231572559,37.416652566294985,34.98614826319356,36.27934284674224,39.171172638183656,41.255113909704896,43.90974513493684,47.26162026726768,50.35080518531023,53.19181969266131,57.6580771576563,58.211957222856384,58.91617522609119,57.22738481731559,52.72950002461334,51.63462579106421,47.5040460549293,45.965527677284754,44.240277006024165,42.29773483614388,42.898962717086604,42.82505972055946,46.59809352524232,47.62339654581583,48.00649891673005,48.36860740481932,51.57969706415026,53.37110499583434,59.432569219666775,57.68061948298733,56.08914782839367,60.067242113968334,61.784377007248295,63.4726906161458,64.26774976534635,68.21144132929075,66.50077307137849,64.01992472248915,69.208197426665,70.6434685061904,71.03653664996072,71.12498491446257,64.8773661502052,66.92981054806035,69.56470759934228,66.69186465934973,62.996613723546055,65.89607678054956,68.46835138732078,63.05767199470035,61.77370664620385,58.375014832030566,60.465548949005985,59.98687700221496,56.30115283854071,52.233174924440206,48.406692269843624,45.85349836894422,41.65649900581941,41.438085737336316,41.03353296476027,42.333476274432726,47.17216700279036,46.294076801355146,50.81811386777421,52.89256211631236,53.62429637029065,55.070705726348024,58.446726462634444,57.04869111097174,59.37709905220674,56.76131631207373,59.53712258399054,58.06271564534241,54.4618779087176,54.8408547004527,53.09916253856652,52.07340767741704,51.23556645028381,48.26650042305431,48.10900486838675,44.251716809542884,41.883053292742936,39.05122042472701,36.08014105997511,34.08397402424631,37.52111765220761,36.45132210170034,36.47204502068851,41.733114622248216,43.0474096510768,46.7798503670579,47.24462112586447,52.925666258087894,49.95230420558779,52.774625030496736,54.21983501129384,50.74612066733179,48.40670346008252,44.722670870687615,45.048640232716636,40.60384396002406,42.9265690974218,40.52792679463574,42.612970399823205,43.83252006142289,46.15223263002993,46.69066046407734,43.288499578748926,41.16112150692558,38.93283033722312,40.49415756044767,39.51637257590873,38.00342243106788,42.84951194673011,41.86763187683469,45.86361323861433,48.57155834582454,51.93697108048493,53.979072321390596,57.43965464032379,58.83958601823889,57.33292898192956,55.47322739938354,51.2249901293373,51.55463037920123,49.700990239444074,48.160101936661256,49.23427495246913,51.07365420443293,54.438680353106086,51.366718240904035,49.38689983413631,51.677223170511176,48.20331060311833,46.44927178031765,44.00959139668932,43.96093407775408,39.703825789940275,40.457088917212275,35.866765040941466,37.535462811042805,32.50572567675622,33.5970406708583,37.48397365082937,38.288706573008405,41.56547952134468,42.67044863120432,46.06182672275154,48.906416049590206,49.556000242976886,51.009361824668034,54.373137546452924,57.45597696787068,56.99360096407594,59.595074353190775,62.31198645695793,60.17363254626408,56.46382383486201,56.01911754145691,53.262505624847826,55.04189877239967,54.297764383968534,53.20175224759081,52.36730552057685,49.017468908371,53.32846305794711,55.44921961706641,56.861254008822236,57.83287044742363,54.202903673706444,59.88698119767682,63.149056832753594,60.86746588821783,62.84987085826662,60.74713715491471,66.14825383378849,64.61439204585055,67.08701103266756,68.13809436763542,64.73628258888667,64.77188974723863,62.70742281357209,62.9443677003511,63.41882946823489,58.84761034533027,59.150411837682306,56.45831024210278,53.482694181790755,55.10538028117141,51.657353945219384,49.28646926908784,51.19365923026821,51.32358834274949,46.62258483180423,46.6944401678336,48.944142499146736,47.01146941399359,42.67593158742413,44.34603788884316,44.79837712006363,40.47369100297478,39.79473040264435,43.19238717504406,45.531418666246026,47.59201658311303,52.17712965742507,51.82209935576715,52.81751681442503,58.07784000354621,58.84532678482937,62.53831721470746,62.19411035025531,62.25575142006915,63.989214496276915,61.53658260498809,66.49633563428088,66.07684762639637,61.2471660627607,63.8544239912424,68.31728983075061,65.24633046871786,63.08201312812118,66.5435407747579,67.64053974235301,63.436683553069976,62.55034539000859,58.64441444492159,59.11134690969866,61.14232101988728,58.52634262073778,58.710862730404536,58.748546805869545,55.879513551857045,54.64652231324757,54.15505146609117,52.16689002029152,49.283617298764355,49.28737831961294,47.873632409567,44.70992650387406,44.46211499022775,47.87923358931181,45.317796714373145,41.26481526037089,45.06478464353944,48.122096886705755,49.83675067593313,52.94645926701553,53.419106495171164,57.720133109955405,55.89914156988185,52.374461912722346,56.86575459178337,58.630858830002545,55.866508089475744,56.26100918183956,61.86961750769998,60.847319347111146,56.930452920991975,60.04167044720359,64.29694351263254,62.347483015953365,59.33765989000971,54.874027192255724,58.85994305262372,54.811513149592955,53.52426407812556,49.11796445896851,48.27570045934496,43.630489687191805,45.22372459125299,47.95840861940067,51.704024004513705,52.44677704847275,52.342151057883484,48.65940195749444,50.87378926509004,46.58245306637287,43.76140631869419,44.9076764626744,44.68040675142382,42.296915969833535,40.42539949237143,40.15697549016192,37.63544679807193,35.854028317574354,35.57424853180342,35.706598069551134,33.39474788141514,32.53023961747112,32.11455357305029,32.629780352106216],[33.7649575665551,36.735638149176914,40.61825981385488,39.47132725257674,43.378281390950505,36.9558842706411,37.96943878781036,36.88487877674336,33.69360917479772,36.22214926244655,34.4029744056863,34.127602439128665,39.187158932967066,37.37005300309666,38.32712219587181,40.94827917270793,43.49493521597369,46.24347574486774,50.03307198253806,52.75812162374456,55.8248150477925,60.135584691979794,60.98260100443862,61.91028455101676,59.99470886161209,55.57589932815524,54.200800995066395,50.00234678658073,48.09689348880296,45.91234889363601,44.03574212553613,44.05375801052591,43.69739116140193,47.649821841211704,48.84137843642268,49.68352240385777,49.68596633739211,53.45657112258846,55.37833699173759,61.20076754721306,59.924801395153274,58.43197000547287,62.284257683516316,64.18075813263518,66.16701279685883,67.02927510628322,70.96602072499408,68.97513132645076,66.40944041831818,71.6465366535034,72.86462203363575,73.09750137541218,73.06395295973014,66.81759088175262,68.535866756611,71.32450151726852,68.75775587418816,64.82378893830023,67.54249901860092,70.47368225701443,65.1872314226694,63.721011645042154,60.185967150662655,62.66064753382349,62.30441816075426,58.43670850507598,54.76082184468524,50.734068090721664,48.647576880829654,44.28806419557932,44.4414973524779,44.20368282074907,45.02516442982521,49.85666703024808,48.48579488899759,52.754979199889746,54.76182960230788,55.0766822076638,56.52728675291872,59.959118859534144,58.26884120112851,60.73984156735536,57.74382461181568,60.66264519179781,59.55695076656864,55.88626974716785,56.50172913430004,54.29496664516351,53.744097337532295,52.44408264857273,49.833949441419534,49.67998218816363,45.788947255428084,43.13568688678784,40.530029947550744,37.53659222053366,35.822017004069885,38.51718596589252,37.28407638058675,36.4974325085119,42.22789627282575,43.182140167021345,47.34818317316432,47.67810786071314,53.52365990658088,50.70495107208613,53.21789342852715,54.93283505581723,51.56099830783815,49.02953591538829,45.69813014657423,46.37427007222673,42.15634625426347,44.9175014077677,42.782590640539375,45.23172018278135,46.52545571678515,49.20605384803035,49.822191685764054,46.084913192329715,44.21351109934796,41.807811295802104,43.58061910682314,42.28427039162102,40.41615761446726,45.101802960063054,43.52112768469191,47.52582299192692,49.95969194312693,53.12743945526173,55.385083595000395,58.541754394801536,60.262320634936096,58.467377074170216,57.1196498398968,53.05211946733201,53.58028537127007,52.05815183072023,50.87324786747247,51.83224008831789,54.15423537088271,57.43502196466304,54.23765861429667,52.0512773402053,54.09248026214748,50.364576008777895,48.67344863314893,45.84418268922188,45.446091518599,41.09585840460623,41.27711283741687,36.517543806941276,37.4621513371397,32.04784395347604,33.448506298879124,37.59963200964808,38.990840178608295,42.13999387934492,43.69498304598421,47.057248477671344,50.44582699591326,51.25463346891789,53.16739539906925,56.31741609558847,59.573265998129116,59.49163646779295,61.78659314994142,64.73145585610348,62.49146199508696,58.92636553490576,58.19727959290485,55.48596680571205,56.91580246246051,55.889908951985944,54.597529857859755,53.35912065516627,50.126207101697815,54.03149871401703,56.58857965916913,57.79924940765746,59.23685065066817,55.32401036839825,61.089474377940235,64.48936916665723,62.46013256911087,64.56570993181239,62.63348834327119,68.10599959632627,66.96532663029915,69.19275536093873,70.24778361317702,66.6792877676749,66.66057313524958,64.48200904003262,64.51748177624437,64.86941985551135,60.36998406932811,60.33236419741652,57.60633224337118,54.38671720752132,55.698977818406156,52.01803562672605,50.0305529133166,52.02207232529457,51.67653465735024,47.078875831593265,47.78246007084428,49.580087243667236,47.0523261081875,43.297110898931024,45.078273489321674,45.067405510420066,40.716286842233956,40.634117106239465,43.84319620833856,46.4522690721071,47.86471219934261,53.119499598456585,52.462855457625864,53.04715871487114,58.23089306199527,58.61849789557784,62.41358669891023,61.802124982087626,62.025385779972936,63.64463036527997,61.30733160985807,66.32934796543725,66.07284269920441,61.55603569107958,64.0718151713485,68.65222821549021,65.8538683054227,63.78523977476816,67.31397021298582,68.61803298935219,64.5099179313646,63.76845498647481,59.613498562071975,59.77712495761834,61.5257919218139,58.60472726923652,58.501107502532,58.09381626792911,55.38397568361629,54.55208469551728,53.6132351276804,51.36817619686898,48.949086156418254,49.039815289348745,47.12222347013316,43.96832883167965,44.17051866133242,47.201061824036096,44.32238143628534,40.63276363998561,44.59440576929036,47.33623520695888,49.40658449370318,52.37051102259695,53.03556014013279,57.302437935638885,55.560508373447504,52.4787968536201,56.940370369911435,58.75876969596233,56.19788070310929,56.87218640157052,62.303548408208044,61.46386574506784,57.87915146013763,61.01781630344486,65.14173925992114,63.395251595656894,60.61328598023123,56.33232191004383,60.45086062863103,56.645736612821864,54.923889783617625,50.773809253701714,49.588281384165384,45.04088632560952,47.12653685754553,49.80815641488279,53.61403945628734,54.26016773100164,53.70598103105223,50.153503999873664,52.134614006501266,48.08389581224954,44.85084913977695,45.47850358959693,44.8444582803278,42.42272713212489,41.16266438173247,40.60212347671447,37.681563032470606,36.63008765559179,36.489517242602886,35.92793946723529,33.22444485027345,32.407207451987375,31.925639669419297,32.04753720387504],[29.831326768897988,32.9356230311894,37.04410458354794,36.10858788022642,40.292371233447966,34.01511411886852,35.43769299263058,34.62059750270676,31.695239568768066,34.589132556867426,33.19388959934802,33.02225551619127,37.98285867526646,36.2423591621513,37.7368869140706,40.280096144162535,42.55818021057248,45.6786663752616,49.48543113777463,52.1836656194185,55.408461587811665,59.67950264941012,60.59756570719783,61.321632282208284,59.23950988389031,54.782000211240764,53.20578197950722,48.93874303853034,47.25455912131861,45.0714582756743,43.86664749773731,43.56626771682164,43.65419105613261,47.82360813081647,48.61169360063456,49.27581993796655,48.97589219492771,52.616398716938605,54.30055239501806,60.158172165100126,58.746142147118974,57.61731035265394,61.57527266989744,63.23213963847309,65.18285761083158,65.7802809126214,69.81985076790643,67.96740864876661,65.10211874942628,70.24632092684772,71.70583160787852,71.90416268688074,72.08968610063287,65.73804616210346,67.58684577475238,70.61148934271196,68.03026995240126,64.13825136408211,67.08671894703564,70.0228887226384,64.83218413139211,63.692977871363276,60.300381150193445,62.84619246155645,62.20026706437049,58.23696571728667,54.69134532028771,50.62401233222028,48.491898541490315,44.1969136235466,44.30100612631666,44.41381385246769,45.34241834362067,50.17241178542372,48.724609647971356,53.35225490797337,54.94634169559897,55.47858753677951,56.5934743352101,59.78936191502905,57.871019651698845,60.03647716557991,56.8706021531242,59.51777382749137,58.30759341869767,54.888699606782176,55.821022967876864,53.78346679655546,53.47026137004381,52.582528462331226,50.052790649184224,50.328729847828434,46.33090276234557,43.54616005507582,40.54966125094371,37.854581906383515,35.69436591413532,38.28501364237334,36.66125922024597,35.77216790990769,41.501170009536345,41.920695361829615,46.2254167779232,46.0374187186213,51.72790457925427,48.59633186491004,50.92701514455861,52.40700742250787,48.836909359633886,46.551248512860695,43.08153597703585,44.10744695918209,39.96149690415874,42.830728096208674,41.10243873120824,43.49700627167933,45.16288808880801,47.7552227158261,48.90581997109646,45.23202948960326,43.18480314961512,40.54823463100756,41.91282384043314,40.37798959238806,38.24964779066489,42.742883843849064,40.78099284269628,44.98448855172321,47.29806169788975,50.706919145693725,52.632198635507464,55.8428389969906,57.71671259306874,56.15725159715001,54.702796057645074,50.69482867259022,50.867464439814555,49.64074051374867,48.60166397780355,49.838661700811606,52.30470003548683,55.829989316594286,52.84480195665209,50.48880811778287,52.66778300355573,49.0598702457855,47.13739833371132,44.3100905130878,43.69151668622966,39.258894942120726,39.249702630093815,34.66225291765042,35.68952802996204,30.34675361511331,32.26224809963869,36.33869830392097,37.682700144540746,40.537618759785346,42.3756178907058,45.26971067583176,48.603207927567524,49.83509609004387,51.452075285900534,54.796377413597135,57.734999697010046,57.44397059730481,59.57342185727671,62.41024190857485,59.949368656202644,56.49022517500006,55.782116609789966,53.28814916450448,54.934687177057434,54.076352828977804,53.02907016778447,51.86594402053366,48.90802583082186,52.89633361516251,55.30347284697262,56.32978253236346,57.53732854717148,53.38679140220763,59.06000577123919,62.43702513734619,60.453937363566126,62.89710607707534,61.205154944945455,66.61556556440667,65.3272060004369,67.40132040139294,68.24289576773378,64.6566208490374,64.35445090239345,62.02142483181244,61.91803773165361,62.05527935037674,57.468793441526216,57.32056610258951,54.39711044557825,51.3260802330978,52.40855575477706,48.853873142886975,46.879684849240185,48.570920497776655,48.184327996455984,43.64809882845592,44.18151331906622,45.84046564216909,43.395138100581356,39.56975717650027,41.172776686101685,41.09278189327446,36.830107215331154,36.6417990112262,39.67650755434585,42.3568820933759,43.69618612915581,48.99116948852403,48.456065740083034,48.99478270024263,54.21708005070637,54.55104319004672,58.450521800046,58.00403962006756,58.351854189551105,60.13155201555879,57.96209041447506,62.97075703198906,62.50174453028347,58.06002033522656,60.755257060106935,65.19863521029336,62.311337807826185,60.39883984326216,64.04406174153745,65.11870697803619,60.96199084860953,60.53536754780554,56.24661168868242,56.723092654641135,58.412495422046284,55.390019239025094,55.510761556512726,55.09117315547296,52.592537952683415,51.54227217459301,50.43616824840895,48.438047089902746,46.005087397997684,45.76562140131386,43.87727549807154,40.76454182025392,40.72366768835255,43.660815076388374,40.820418889184864,37.01328461541782,40.788519985830085,43.54496091440099,45.58546088590242,48.69993411716012,49.530935529006875,53.734962034691634,51.76808019253347,48.73572946150167,53.3279894335031,54.95401298112075,52.32328267116463,53.17489653944822,58.5505196805354,57.515084982330606,54.01213663132573,57.3114360854823,61.29361936362013,59.423038761650005,56.70112204509648,52.43960848289222,56.450724408649485,52.65694441926218,50.802708281084406,46.77742352313167,45.687288504097616,41.22303320843692,43.28692326005117,46.06732332590107,49.84654999946644,50.645693646906295,50.103614716428126,46.815488138485705,48.98077450118254,45.107604198332304,41.65303173735297,42.5225863605385,41.77010005939632,39.68838722774556,38.2283218284501,37.309433903298284,34.57699027313236,33.76531789612477,33.126630573485585,32.422970916730385,29.9596681624555,29.329183075714255,29.104826242811274,29.32421149095891],[27.350564385805193,30.21034572409948,34.123299724586225,32.66837168371367,36.829240584582465,30.618548328417056,31.82417014512984,31.26872323895165,28.01941016858739,30.64125242873313,29.287979572042506,29.510050831064877,34.19517167979567,32.14165517659172,33.84489002218773,36.52089217333132,38.54505101975786,41.6556705080581,45.27654731655537,48.12896743591892,51.2748247356041,55.60981343903073,56.41334206350881,57.02519039609998,55.015891988980705,50.520842340829965,49.049844880382764,44.80611754893696,43.305268420350956,41.3607582976521,40.19381382763355,40.17965155311326,40.49452117309126,44.59104462680482,45.21782058133862,45.60213990932247,45.47706316870377,48.80174708164617,50.411397631677055,56.3998405023148,54.74159524296108,53.575487539903115,57.6025444765665,59.163225134244186,60.982309841094946,61.550615605444236,65.59508828800308,63.86442072330488,61.03753215685678,66.16534410243254,67.72096281551586,68.00188804707992,68.25017436051368,61.89406669243098,63.927470074017684,66.87729417987322,64.13489868849042,60.36921217820272,63.431905352533974,66.17941974229294,60.93763378970614,59.936117290191945,56.635707455628406,59.00899513867297,58.252008138803234,54.35898677673822,50.6572299276756,46.671096157093636,44.333678957986386,40.117737960825345,40.0689721000728,40.20864166357667,41.3341291309971,46.16179385599242,44.905971709877925,49.738833412542526,51.26663226254002,52.0616462271951,53.107872635400454,56.23657941187546,54.45717255160125,56.516842771097615,53.57115851323279,56.130649369461665,54.702106430472504,51.31991307041646,52.133010773970426,50.372585015895254,49.81707551243105,49.25034150657077,46.538678295853536,46.91375396709234,42.910714412408744,40.25035251175705,37.05038681272555,34.43419770126466,32.032710383022184,35.02487009185156,33.45969996029753,33.11495946184242,38.51632709857755,39.186448923186546,43.186518013271254,43.12104747723954,48.72142774738782,45.52915923348392,48.116559677335516,49.46880997923772,45.88345019638058,43.65330693811862,39.97514506442215,40.69239212668069,36.38492968308466,38.99951524903854,37.084141980079,39.320229894669886,40.937984865030224,43.393272323578856,44.52425838961095,40.979215885004734,38.81998290949157,36.24047849317854,37.54147873827737,36.14894134867118,34.208701742021304,38.83245911588301,37.28805412135083,41.4379912030511,43.953160106596386,47.423856053573054,49.31684118130004,52.703324753127305,54.33629974340933,52.89241286943687,51.15350566164754,47.02309978200365,47.19047717437972,45.71288191306313,44.480502538789985,45.71562687655083,47.97365486759176,51.511559140959015,48.558153564469286,46.29245578689283,48.57939546226626,45.08572139144454,43.13710931006737,40.50694430676115,40.10190123483464,35.723725737557835,36.10613235136961,31.60114471127745,33.15219212601527,28.10775597669728,29.73335192221054,33.61545954538168,34.54961017188189,37.51239121911187,39.0387030620512,41.988817389328325,45.00057742160749,46.109990986914646,47.50510279393575,50.94981279147516,53.83281296977579,53.3879926463006,55.69603542122842,58.45171060976961,56.092633048569425,52.53209378563104,51.95133015582032,49.38174484386563,51.17389193598174,50.44875433303807,49.490911780636495,48.56942444223967,45.523091486366084,49.77357276703988,51.90767300619583,53.07138062422499,54.011422372551785,50.05733021521455,55.70163444762189,59.00221432545663,56.861111464401986,59.19491281332467,57.39131665212332,62.7718786799706,61.29792496580133,63.50898599892409,64.37937657892986,60.87905606866514,60.65970013677845,58.42287302103389,58.471166425288246,58.75002616899913,54.146954705673636,54.24788008210509,51.43027798513657,48.44485638367041,49.85356457145768,46.401185515432914,44.140266896245194,45.93553816203432,45.916846258313946,41.258425835365124,41.462167573405004,43.533368146799766,41.48107935144947,37.252377238068696,38.93129127301092,39.267068003196044,34.93328246608231,34.40512404509901,37.78389975290481,40.19297806751286,42.09939778106085,46.862895231370636,46.39157114664139,47.29323018196938,52.54074681666094,53.272049940736906,56.95989156473862,56.58863647144226,56.690925659928915,58.453060594825345,56.079749505497986,61.04685164847706,60.57929552290352,55.83957552719243,58.50195120606511,62.93933478378029,59.90547060681278,57.82892976995598,61.36932536776871,62.437078819547644,58.244316827757686,57.54546529380618,53.480270369201115,54.010213493687715,55.93005049446027,53.18568682926996,53.43110570005407,53.39437162415451,50.66661139242463,49.37527363112827,48.7246040980583,46.83393734009935,44.0024384691166,43.85008375693971,42.38984179054678,39.24480758303623,38.944373941122976,42.29632879292032,39.73703499028815,35.66560548100677,39.445198931792554,42.49457387190227,44.21994985957025,47.34075524150367,47.87536452887403,52.15557740757315,50.29598324277107,46.841826109522444,51.363742652388794,53.09767123538228,50.365052180218555,50.86350559542221,56.417593176861466,55.41982398904165,51.60867883870872,54.76231329350648,58.95078852213808,57.06397684583848,54.14141678208954,49.75257510041986,53.813735953427205,49.893109631645366,48.40392200582928,44.09266386157331,43.078950348189764,38.473707229785695,40.31709152928991,43.033038329050434,46.81478805486833,47.53521861592244,47.227171137380985,43.69092575252586,45.906733547885366,41.80159564942326,38.6914256054962,39.81327628609155,39.41542544832567,37.228923739327804,35.3825796828312,34.837293118560694,32.32051467414337,30.852404637165527,30.340869483302164,30.239661661058598,27.96511876344643,27.22460747419861,26.990887374355328,27.53086938491721],[26.820681377287755,29.475321997863865,32.85681831992697,31.81517142567476,35.17694832342834,28.549260659119764,29.356695012726927,27.986339090158708,24.942538113732162,27.72277232721186,26.004032116209515,25.466870737419196,30.652376919535037,29.25499885945736,30.348702945899483,32.747929515323925,35.34729342688488,38.41559189452287,42.52039965091493,44.94009041012791,48.29107302959892,52.44031556748698,53.564639328579524,54.49517597182875,52.26827599418948,47.90382814315417,46.185669508060485,41.91702937081234,39.92524501295176,37.52212808084213,36.255310833968295,35.764822528908944,35.7692433652483,39.99146332691539,40.79521187830742,41.627826053224524,41.25904474705709,45.140042647637166,46.9735997442688,52.698312040361905,51.58284762450092,50.371156280688275,54.21631922951546,56.05007014760322,58.21145902862323,58.97905136219155,62.948523556552445,60.8452991513016,58.07840209368355,63.29755171549598,64.49547177583419,64.62865243828016,64.66272362987796,58.3616366454093,60.02848349478665,63.026719440101026,60.58477001067858,56.58301954825272,59.41010301596132,62.49027656970349,57.35983496288508,56.13027224480554,52.69421466129757,55.44826588371104,54.84050876222003,50.77841090432084,47.50290602488728,43.31292681672965,41.538360302418276,37.14921211967133,37.57486982355764,37.92565402413643,38.424876430267396,43.21115145585877,41.393000348713464,45.96387403335352,47.393579142312184,47.795220708255926,48.84682731466894,52.04556085809934,50.05903510958333,52.32271963847449,49.13001352202465,51.919243334031286,50.853121447472404,47.295181427416594,48.20184405206841,45.9862047278388,45.79943568367846,44.77476951621085,42.38818356075841,42.79654728044297,38.76335745421599,35.83982102265857,32.8570817501855,30.232935150369862,28.136746734067756,30.433001765797925,28.823754573661766,27.93909432819287,33.65807554760411,34.333873322943255,38.548604189292746,38.6982135610054,44.519682915148,41.69528058271695,44.235130221087694,46.007104560559334,42.73249554103004,40.094261854313054,36.84591408924796,37.48053894091238,33.34077618999424,36.27924545456578,34.33885583517847,37.025322691761744,38.46582489406375,41.414072492751586,42.357187377646625,38.38538118530927,36.652563319331385,33.987360083216956,35.8251528032758,34.21995447046181,32.101087983458854,36.67356572566183,34.94030712725995,38.82491574679327,41.20408639480833,44.22384569391426,46.66485504279115,49.71886631883976,51.439941323917644,49.51961932508456,48.335714062057505,44.34055386142326,45.11088904488839,43.67163797341439,42.72963327996189,43.5484814146135,46.28048440269573,49.49606708108544,46.2674990950249,43.871224734443985,45.7669177594,41.94377790621131,40.2130618327435,37.186178643857346,36.599112249832984,32.218795646873964,32.27275881852091,27.50368125899815,28.51227407768977,23.20848846328413,24.657016909860157,28.7411269649426,30.1081219749429,33.16106495049219,34.85383841242317,38.08419169019952,41.59597945519398,42.56226841161824,44.60862112348439,47.68774400214468,50.95451248116398,51.0999627124736,53.20441695179153,56.302673749691856,54.07360915812872,50.584261535846636,49.664089636073705,46.943100169446446,48.17325861840261,47.05151268323525,45.750915639330266,44.449717535526176,41.344432738281576,45.23772971872674,47.78160802203897,48.89249649393541,50.35721491694707,46.35204841627998,52.126337540755095,55.553989662980314,53.59793852418741,55.78822696839233,53.997738780106516,59.47474155125119,58.498874155034535,60.55683410655427,61.59254615380038,57.9494343019589,57.927714864974696,55.74197712018878,55.75229554834139,56.17311331128963,51.76084451657987,51.71546080118038,49.16951921622373,45.789216923701645,47.31847612637927,43.53814731878056,41.520461376690676,43.854975424542424,43.59491547266849,38.918542817355885,39.90634661567467,41.893441688120404,39.3418752221669,35.64057352286201,37.78950359631488,38.00112759789587,33.48103950177292,33.645675836852696,37.34085577160847,39.704001961737994,41.37217054554856,46.408600642754244,45.366624925476174,46.14723196084947,51.22464050230124,51.99798743278132,55.391988021538694,54.53198814386622,54.40685658665952,55.81447269582466,53.188007701234056,58.19154648822392,58.17022543471302,53.45947527517387,55.75878020514633,60.47501221779453,57.769178087257,55.49252626345775,58.88184737616879,60.471931322021355,56.45342529102693,55.35176029544709,51.31907488583242,51.15460340191241,52.97667448449542,50.225024086115646,50.010249618877744,49.83373439017609,46.87132287940748,46.039101228994554,45.46679035263512,43.1384262638453,40.480467131511475,40.86591760435219,39.20353982685026,36.00214744186321,36.26919762383895,39.67445881618808,37.0071540333478,33.25876291468431,37.47165113405589,40.41878660673852,42.260687826708455,44.990176119050545,45.237065990522275,49.61349686740432,48.26080955749341,44.88050007103664,49.098953695829685,51.25105491454929,48.79415962644745,49.069006098951505,54.60485298555105,54.1681808954226,50.421216414777284,53.225842373265735,57.598308725394475,56.181802968098076,53.323939657672106,49.09623173386983,53.54170699677159,49.91654758792354,48.344131568912196,43.99869460085253,42.37346779973927,37.72983577766722,40.15986684559733,42.52523308671223,46.38916897809506,46.65332760540962,45.86434220336423,42.00381205304837,43.69107820140185,39.578833253201864,36.458267019399294,36.81543215587769,36.33492897425142,33.66946881875392,32.50201503430931,32.30273666440421,29.25867636688371,27.945103976027077,28.343834694591223,28.005524675784017,25.11203829686726,24.15851230574892,23.572973844601062,23.89996893582336],[25.988023254797938,28.241441637028746,31.21616074449951,29.5701121574765,32.68704366223211,26.1176474703644,26.45150604285124,25.230417270203343,21.698168596753966,24.000311222824227,22.11942390686274,21.97564047234818,26.918367506456818,25.164342131716683,26.27755427602592,28.858636019687776,31.30267647025079,34.25653270473033,38.205349811588746,40.78120419051051,44.02754537663522,48.25791843619543,49.26327206559634,50.154109304838514,48.03005776475795,43.632107791296406,42.06530393883686,37.82897452284857,35.931838635681345,33.76580536815495,32.32705665818411,32.2445634112948,32.37848258728943,36.472629718153975,37.208961318459735,37.7920549272673,37.702978922538584,41.30009790913885,43.13999028098477,48.99925039020647,47.6791670894305,46.31253654237687,50.20326982969729,52.0192638723848,54.074185421309174,54.89931805393382,58.84670832146383,56.80938647322329,54.16789879425256,59.410636590981206,60.627673665983174,60.84892127566102,60.879969787235815,54.59813222790273,56.415015154275935,59.26876489674373,56.66677546137908,52.77312051787501,55.65591884252132,58.55055658259866,53.33233453312455,52.152293797838226,48.76795875390384,51.34083478517686,50.69109140311911,46.70864490317288,43.24268392106172,39.12175334601015,37.16679907118914,32.81023288261927,33.12470073398601,33.44611110583274,34.07728147789254,38.880874018611344,37.2442809215801,41.96369330680734,43.41910212572382,44.04478428422104,45.107500957145874,48.30458638266793,46.52472266759179,48.768371429197686,45.8607849014129,48.64456367163022,47.37840501865502,43.7707253681831,44.45400389325187,42.47952097064736,41.9636651263358,41.170449703777464,38.55939427212755,38.97927100045575,34.9468130474035,32.17595919253776,29.046557771018694,26.418787087614323,24.150647805914314,26.955645491151213,25.538004927278422,25.36964712017849,30.682223985146585,31.84884389963052,35.64838970730808,36.1278102756807,41.89121627831433,39.125428144472465,42.0130283629034,43.728151266258244,40.534720060268675,37.869154515092376,34.47142876984306,34.60907887687952,30.276885675585888,32.89260959531858,30.58146851680467,33.150490875185326,34.39478274530113,37.27369820950863,38.01374687370246,34.107779034899664,32.339257655913194,29.793080228533714,31.765852228600878,30.383367525978155,28.56430946299753,33.34430690601309,32.22860137285145,35.9368160782668,38.569611657821,41.538186438082064,44.0772675423471,47.27986247370222,48.681648993971976,46.79319100618096,45.35839080555316,41.22260337121992,42.14965037437722,40.33512840812321,39.1542838124779,39.83967574854347,42.336293301633106,45.458586897716174,42.171480161741165,39.91438322292849,41.858703957555264,38.093838799799954,36.422449937874916,33.58779061451789,33.31805128775005,29.035278342470054,29.618503591044732,24.891430266371994,26.498953689269182,21.61510231630189,22.447847103588593,26.287449863071792,27.167562267798747,30.462926488606236,31.67930888705409,35.156310720135615,38.3361709794633,39.0099911521385,40.94699995938685,44.05417854327183,47.38598708042456,47.470243074945216,49.80941730447921,52.874184942531016,50.83824036427738,47.21482444283165,46.404835344933296,43.520708562692704,44.80294097150532,43.752768206735745,42.45481156347889,41.3890707551812,38.0861627604127,42.24668756701716,44.540561058689555,45.863878147782685,47.122543077040284,43.41830459831188,49.18913127993763,52.541505419204384,50.40530166988576,52.359869681114176,50.37119105535905,55.84526572882964,54.73864864496504,56.98401967789014,58.12645766110647,54.5725474905344,54.74339286045063,52.718067708336676,52.937471888825094,53.588322240191275,49.21022091890425,49.46742232274395,47.12913238616262,43.7932239927103,45.75424266693679,42.05980442521199,39.74575137500173,42.30469437397305,42.45063231411061,37.66831798831173,38.382253280815114,40.835243082696735,38.68985375791392,34.6521608012652,36.933699937183476,37.59823088955205,33.04494789939335,32.91555065652847,36.975313945863405,38.99630079008066,41.23835042607139,45.668587101648264,44.6402398451573,45.799242138088104,50.837938046020234,52.03069371297829,55.14190204992328,54.30439636686873,53.87934330003209,55.201809641444385,52.31864934808616,57.25284841387941,57.310566130149795,52.288467726433936,54.47013904467762,59.207100668661745,56.398573531040256,53.90251041203428,57.12032085395575,58.78732800317088,54.77387425516403,53.26736923010447,49.541910576850825,49.30344410875223,51.3838354075208,48.98337046443573,48.820311164715164,49.06264773248559,45.79862407078095,44.78948454127092,44.778795794393965,42.50120934747625,39.434288437792986,40.03860622402181,38.851851949677155,35.644611499405066,35.71852058613042,39.55646707188113,37.21455790969699,33.293756099013656,37.50648712644088,40.710710104464006,42.2109530794352,44.86025640761064,44.73076296814917,49.170642605146604,48.02419542721377,44.2194896775256,48.27294979938856,50.595009050440275,48.082939101346525,47.918128455312335,53.61993885721041,53.30628481441332,49.2430791610193,51.807435496517556,56.42258064355574,55.055124340914006,51.993314601156754,47.667170515256146,52.184886147295,48.47179054375687,47.32365496202674,42.68642178830049,41.090835800255284,36.32466075763099,38.53656355224669,40.74999707030782,44.59448217623403,44.69104723213832,44.12606881365543,39.917141070559246,41.55055893574929,37.14447644336525,34.52179250155087,35.02913016459872,34.9978776880433,32.09745122048767,30.602616743133982,30.99387042695435,28.153786771358,26.00014654619763,26.80820981990814,27.207168745381754,24.480793802585563,23.328372883514717,22.613275639709094,23.29502501348895],[24.916340563919594,26.972823948488877,29.474035637963095,28.439562249967935,30.833594581050235,24.036895210983,24.183163032881712,22.194587535229857,19.17827717436151,21.88489792989614,19.907407790214297,18.84813001015088,24.27956867996885,23.418697024897455,24.14010467543626,26.281498344338857,29.191336984945483,32.293705575793275,36.733305570883196,38.78900750370508,42.31866888660826,46.2903191429647,47.66729886337211,48.76525183160424,46.33578698571373,42.09311069535489,40.155443767957365,35.895248403571124,33.61074947416759,30.936467007492475,29.83327815113089,28.970701244279244,29.01928910972059,33.36893774736251,34.05802209467735,35.046409306977374,34.48293034290828,38.61319249184413,40.54146118099793,46.10084709046003,45.294139968964785,44.10923198012939,47.84237447312922,49.79663378026116,52.17809240565528,53.04820690707801,56.95867780699437,54.62778253876962,51.88367380689646,57.14130689794146,58.12555552698057,58.17051265581854,58.1033776328678,51.83856394234493,53.330555411907206,56.36712536031107,54.08785102748492,49.979722226869534,52.72953992657511,55.974480327070815,50.95535279400505,49.721416905891004,46.29128285317229,49.29593833929142,48.64843276245591,44.45856178555457,41.56003364264725,37.24071170566925,35.903323251510855,31.473167651277706,32.27002141459221,33.011800485120645,33.01984832850284,37.69261803213454,35.42053313466302,39.99673479777257,41.09679840130404,41.402406737449816,42.27097095642649,45.39165155348808,43.25212245203693,45.53185611892569,42.24946294435609,45.11661580125311,44.195404516080096,40.562133177154436,41.54498589305198,39.167367085348545,39.22058265875949,38.1588463584433,35.9885440172603,36.691646031570826,32.61262121164874,29.488003449275705,26.416008371547957,24.025053854788393,21.887264111460798,23.68370660865324,21.94494405872861,21.003740595280522,26.709680954147842,27.520088027843794,31.668326289179603,32.061561736752466,37.97145332455975,35.430737048843014,38.13892013279928,40.165169396107665,37.201217115464836,34.25034579896737,31.27561740604852,31.550470430821743,27.503240960522636,30.532830712954524,28.502823361600193,31.500767444898134,32.77579382286124,36.08718049630068,36.95126998146156,32.687022910682224,31.307680078202925,28.572854713623833,30.819110710253035,29.07466794973842,26.916607608163922,31.42189630190642,29.853901445772713,33.35682966986817,35.73710268434055,38.34576789846579,41.25174571490659,44.11310494521532,45.705943280694484,43.45931142030437,42.568382000529944,38.64489704036828,39.977918393819685,38.41769597370403,37.65266750495729,38.069927164766135,41.12845797750366,44.036406851155114,40.6276176388829,38.149392673813395,39.738718705863064,35.721534498589705,34.16027345472142,30.903942030716,30.274918985630265,25.973012153256253,26.024450976913155,21.12215316726877,22.105757345604548,16.959949949190626,17.89022674224665,21.936144697721243,23.328574474788198,26.52138617666337,28.12703075106211,31.606864030404804,35.31266730806274,36.09745906937061,38.55644901726725,41.36477212891343,44.89351522367393,45.47024202380503,47.47526970377355,50.81082555866253,48.77975884106445,45.32270220055335,44.17685089372249,41.29432312220676,42.100945503857865,40.72811535009069,39.209424425734,37.762849367047096,34.581219283062204,38.36964298976752,41.03223125188215,42.174672236637115,43.87165769345922,39.96895618367563,45.80692970392615,49.274339305022785,47.37599187392452,49.381206199987716,47.564757905909026,53.08306470186777,52.417849311654535,54.39574367043824,55.575825000392726,51.87315302642728,52.07391783446145,50.01194721850497,50.09981234644224,50.75685459983584,46.5431933768686,46.569465078781775,44.39865920910991,40.76094981173625,42.68469362770209,38.74469134709498,36.72067203301896,39.63623596710448,39.49615399127643,34.78220848795195,36.20534436107613,38.447636555991096,35.85756033056507,32.386757614079904,34.999207651824506,35.47807414015198,30.873730082451516,31.383369398369908,35.558147015114784,37.55200897448863,39.4682381814462,44.14848976525207,42.65242662440176,43.63925564408988,48.48638602318076,49.655232687444375,52.53008378445698,51.31490077496719,50.75104348479724,51.805879082242626,48.788459555820424,53.73156905177759,54.11255442283673,49.20348358014171,51.11476553284332,56.03236207643528,53.519409124958194,50.93513190963096,54.0624032597948,56.106651303294896,52.25826471971829,50.558579679161014,46.79448307357178,46.03081175889581,47.95581295551497,45.48815600001071,44.97462428232546,45.04898907449417,41.68082718346603,41.04221827502439,41.00454825489816,38.41786631060869,35.55314063266398,36.533828685914415,35.1565711732194,31.947931902039954,32.486064171666214,36.273643960797436,33.87168787129078,30.289215359401314,34.765127297415475,37.8226270390835,39.410698263659064,41.72347455834665,41.406308896375094,45.87254587707138,45.10988128236155,41.45699408018149,45.24931096999082,47.85555609286761,45.599513605803516,45.33393503885325,50.9371251051408,51.05637312400195,47.15030555046362,49.45641520754189,54.127604533608675,53.14607443583918,50.21704248544188,46.102216309820705,50.879742027462584,47.49147585631079,46.17751709183329,41.64899548201503,39.54065604217371,34.8616686815008,37.6038460686734,39.511718914373176,43.3734482389618,43.12317702571779,42.085389793036526,37.76114577291826,38.94427584344995,34.69113276805882,31.939130411568957,31.756076273439085,31.559137954561994,28.359866777082587,27.524318460647965,28.072738550452684,24.809077195667843,23.00800267477475,24.519430526521248,24.569848842126866,21.373015290988373,20.110082229564444,19.13082117691583,19.588161256013333],[26.06563664910134,27.62276999674834,29.537880960685612,27.901776191420332,29.79424874900785,23.159224015970512,22.550826759501028,20.541883628183705,16.96105284202731,18.871233451607466,16.426986785532513,15.624957961187542,20.8838562048092,19.730115912476755,20.094263654905866,22.425198364842412,25.383044835582336,28.212939977150445,32.574732860668725,34.730244713081454,38.13580249486861,42.18076434727758,43.46216690948894,44.631273556364434,42.32641529750786,38.08484589119812,36.334860449173995,32.13495050029648,29.78793924970539,27.298221285720782,25.732315912661775,25.371091278587645,25.362692520741994,29.532677150692724,30.30665150840496,31.147702469428495,30.968589255104327,34.91621319231839,36.96859074065625,42.621315307224165,41.7167384738524,40.239139593018244,43.96157034136464,46.01406928805074,48.34188336006372,49.38223259305441,53.22394230270172,50.86938841574809,48.36190692960472,53.679586185853935,54.56268667176633,54.6899925733697,54.527027379192184,48.32274701248848,49.88502443484158,52.70154401502669,50.2944425672253,46.2517837274954,48.96218939002811,52.05682121992032,46.92285282682056,45.61135671796283,42.16746531550129,45.021571169981655,44.434036119223656,40.32425040787856,37.244803172055256,32.965922312676206,31.552659010421053,27.093354827472282,27.89538819903708,28.55682146849783,28.53113470279751,33.22202046228077,31.053397061457126,35.66210957426596,36.89402997569615,37.32234603738626,38.306642747817165,41.517320354974665,39.643386532091775,42.0311006557504,39.08622045073876,42.066336460346044,41.01025426457812,37.214783369817496,37.856389195248596,35.62034236985852,35.282578888221586,34.27516568359371,31.87054238399722,32.47363697089222,28.397951409999347,25.420166750809845,22.315611552676792,19.803779170179897,17.652192117496593,19.979629231600633,18.62774485832077,18.575524341889402,23.786537094399463,25.409708419102845,29.0100543582116,30.013622867284983,35.89515603431223,33.600618320356155,36.71968604944819,38.79234105450051,36.05377343640534,32.98328054394183,29.996426783356487,29.573749953400267,25.372858100730372,28.001299621920584,25.411476872385037,28.355655610206846,29.231529232802387,32.57259797260152,32.998666118061756,28.708990676435818,27.449675494687153,24.92983591894339,27.56945062594485,26.139637685566964,24.420594150220676,29.13627725224045,28.384796876284916,31.52234089471165,34.167334942420176,36.548748652995044,39.70743932345172,42.642058024249835,43.84485392053128,41.514901631466834,40.465238173100886,36.42214244801302,38.10988655690995,36.07240913261926,35.05339508375178,35.162088567669514,37.973599614820635,40.63509340821392,37.06278017762926,34.78132270680848,36.304532390354154,32.265960983100804,30.89926984340942,27.808446814538264,27.604540339707683,23.500375459069765,24.200999410704135,19.344278854857365,20.91578019569175,16.43396368574806,16.232472002798353,19.934498750963172,20.78609363149236,24.37949356001678,25.308906378102865,29.281454317006805,32.67436268529238,32.94884762825241,35.4851450407148,38.18989287382613,41.939113215805634,42.6003987626528,44.87020246208531,48.23192182114319,46.50011780932153,42.901810387561234,41.82927350982764,38.70042988596866,39.40568001625255,38.00464873800098,36.36125276623,35.10421729744403,31.599970250725256,35.602295898794665,38.08625698960008,39.51828361377429,41.13077640008569,37.6531063016924,43.501975222748534,46.8954596428068,44.81999242392441,46.436347908138615,44.3323228926193,49.87250581001805,49.18200377279547,51.3840697922258,52.76032374619777,49.15212502547829,49.66779573846068,47.84000978782819,48.18604206754519,49.1612549685976,45.064036000333125,45.422040519737756,43.57554251842039,39.94196693216255,42.36598942380839,38.500712357337164,36.22384379417715,39.46442824983141,39.724313613319744,34.97032280220654,36.2097025409883,38.90253873068826,36.69590652883292,33.0327017153016,35.794578524383176,36.70062527992827,32.13832172242704,32.42588720102394,36.90292649252939,38.525927131365314,40.94203016254094,45.000755884618705,43.472324127640185,44.804896126033036,49.5378933937253,51.10037943690902,53.64186887536129,52.38480338240075,51.49133061518371,52.3846332087707,49.07946112231054,53.91374742877243,54.463591941338876,49.276928948008724,50.970575773991015,55.929246602384836,53.38738938530072,50.546645366693134,53.42800067349212,55.645552817591664,51.86091323600818,49.643195815966784,46.26896360817968,45.27760538304197,47.45623814727866,45.40034484433736,44.83750419969614,45.327426644978715,41.609804461945124,40.90685665743088,41.49558532805715,38.89151071765311,35.678085702383626,37.01171627192401,36.109497482428445,32.950971137720856,33.39929602010427,37.55320028722915,35.49207166851338,31.885033641686988,36.32791909430666,39.55436275214054,40.81308077864939,42.9508985015615,42.21230399401445,46.70225711379831,46.240988543539714,42.225704008867524,45.74812134818572,48.56992686868096,46.3250191470118,45.57324183549436,51.28985069793927,51.61803215633917,47.432659253679404,49.4096627445174,54.32433014926157,53.46644032048704,50.358580298927166,46.20033038348509,51.050167637405764,47.62953799457912,46.76271015405555,41.98596539233763,39.872284426871346,35.13711258381217,37.66544598353334,39.33785334819907,43.13723901461512,42.64466256135593,41.79741809544446,37.079250330279244,38.07599935442584,33.52444489592739,31.422677798089516,31.238214153459055,31.54939180414919,28.01276290164154,26.996466707575678,28.309509150954955,25.25478016910711,22.557359413268987,24.72497661488905,25.540744521183324,22.521565173166014,21.01140406966654,19.784254159431374,20.545350339653716],[25.58827215869519,27.120352015677998,28.8471311097499,27.79102298344157,29.30696008237489,22.566543664396644,22.017988249267564,19.45862306337061,16.490645227140813,18.869793996772362,16.5266957686816,14.892670093060273,20.526056738545243,20.170473085300042,20.314095525872563,22.21064292950276,25.483113881478367,28.463408812873684,33.15904814574165,34.89949862722473,38.51707467412554,42.338658876535646,43.898037772322006,45.184623591759994,42.64811295341298,38.539244742800044,36.48941625254251,32.28631550429415,29.690781574585454,26.786446198009468,25.60743933514118,24.506792873173826,24.43793817763961,28.837734724722058,29.553582774737333,30.74057378140664,30.103488859333833,34.48454150944218,36.5603650219557,41.951510996736175,41.44309091033065,40.17768058865204,43.775432765567075,45.893231908092055,48.45154223520552,49.47327480196027,53.295214546361414,50.75374121112656,48.120924220835796,53.416721472410444,54.164121325471896,54.14815203367712,53.94199352531428,47.74808526729302,49.058523097264604,52.05596081073945,49.91441731079146,45.71310439863652,48.33175831648243,51.704848664237716,46.75346698906965,45.427738153678064,41.96393395852589,45.154451936179136,44.55649676227287,40.296179099587086,37.68365166910711,33.28324372919741,32.345024983703944,27.893165570912196,29.026044694509714,29.989428707597718,29.538151061661146,34.080722437059556,31.450000456313475,35.908075825594075,36.84491713757122,37.00339754210992,37.814208423730804,40.9378003834364,38.73701915926012,41.120823097027326,37.81819404397377,40.829715404976675,40.06211653499885,36.298001128383675,37.245623808450716,34.678217749708885,34.8662790164337,33.64429328654428,31.642584732483748,32.47501377367681,28.393870620727512,25.131286417367736,22.115211402738037,19.85750771175391,17.86424582655998,19.171873959848668,17.460034904475084,16.50678782367087,22.18819106883362,23.334584832100973,27.34554338491322,28.1402275618549,34.136396994204645,31.95706168957488,34.83617673980225,37.120936225792995,34.50281019608892,31.26435102621016,28.610012792436777,28.460966693685272,24.545964735134067,27.55835959244466,25.348949138657822,28.583031239334886,29.578143521304227,33.17886580686533,33.80710862578122,29.3212909155185,28.320920888581327,25.64677399318994,28.32775153373893,26.580119173162576,24.52914850650768,28.93286376891011,27.657734577798216,30.71201865429885,33.09106781082997,35.25847597354685,38.60176432609242,41.267242758418945,42.69999751686825,40.14347885460283,39.52493476831025,35.6813111206241,37.55174251921617,35.82843611863264,35.17072656118826,35.17768572337332,38.42084218611278,40.988532550245125,37.39920253278028,34.92688721045596,36.20695692549227,32.01745160260404,30.690390152880415,27.268536854971316,26.685930293549724,22.551030985699914,22.672155802419837,17.693831581461822,18.59878443454868,13.769414297501648,13.835067680683691,17.80775590213234,19.22688137739907,22.63695332930075,24.035888248228922,27.880424487023483,31.734494069179956,32.218855391175474,35.104205112037825,37.60776101002047,41.42508393697581,42.403304821549675,44.36250010814696,47.89019655019793,46.08809643433409,42.6565840329296,41.33948916721472,38.29198244707361,38.68495902468201,37.063695371531374,35.29475552682734,33.708453772379244,30.38286246763909,34.039249989338266,36.844238753835505,38.06785560411612,40.021190413558394,36.30005785398069,42.18240785749267,45.67105950971915,43.81400443514085,45.562856552657315,43.66065490930276,49.212198481041526,48.83578565809204,50.790026902091604,52.1362270027202,48.41032071760918,48.86168600390085,46.95167182504691,47.1381713314264,48.03188943965317,44.03017205498618,44.141905508924026,42.334636718540715,38.506637834879285,40.76904561140286,36.73102410152961,34.73282539340239,38.12103015675608,38.08386460265015,33.417374476876866,35.17716848011928,37.59522479566253,35.00917698085323,31.80816265916272,34.72572772946708,35.394831984757886,30.834526137934457,31.5902561494172,36.01678244783014,37.70515610111001,39.764728609461834,44.117103310738074,42.305552580439056,43.4294106682177,48.042890411639654,49.481658602553324,51.94375268557753,50.45281598442728,49.55390684824255,50.30494068197464,46.989661764128705,51.84556862014694,52.56984994533193,47.544784005026195,49.10439546977022,54.16383239166114,51.833199842783436,49.00774739833603,51.88366540543675,54.30347492379421,50.62432146469596,48.418454952381914,44.92985057871679,43.637788950295274,45.63857025198266,43.439157783814736,42.6441759603996,42.91334277327147,39.2136407912759,38.79442788311629,39.211819010469874,36.40122413573682,33.428422962658914,34.942763573743925,33.800275471063486,30.65037157871603,31.444819085349053,35.44654045969442,33.27993334994442,29.9452637495237,34.53082713841242,37.59328338249284,38.98185443053321,40.923378455090464,40.163106362860674,44.645014651583864,44.369553155607754,40.56723082224429,43.96368597745105,46.90986086767185,44.841943906210524,44.15081675244579,49.74905242110274,50.30722242569246,46.31570223261386,48.200196791929955,53.07043342114843,52.4345166971501,49.47186203084844,45.480760091099064,50.453885083674834,47.26336547862624,46.175582540176244,41.56481965712604,39.140050286911936,34.51466626005542,37.41738421102676,38.94462085642508,42.74648687674997,42.096908131800504,40.893268323957955,36.23015784642172,36.95962091828821,32.61988426646727,30.28266615323123,29.606096509540603,29.67580305927393,26.01846010828499,25.543614264153838,26.781449374478807,23.407177087336855,21.207369030890803,23.698785971832034,24.086175715785476,20.742400094362566,19.220987332287873,17.84788128233787,18.342898678438754],[29.13296793394262,30.6388951054883,32.17205251514127,31.344077617921233,32.46293758799344,25.790310100818623,24.975998237977556,21.970031434733595,19.289088303025824,21.33818288546574,18.62926341683473,16.422219380676395,22.126001404715183,22.1891456946363,21.436039651096007,23.09150574437741,26.870875185263067,29.420716834435396,34.281200448794536,35.73974553795211,39.29860453254226,42.97810663387129,44.657581196209215,46.25150935847549,43.745926279346115,39.80849644737651,37.79924720558976,33.734204720984074,30.735042483321212,27.58407103039136,25.7867717687057,24.585089119273395,23.808980055511164,28.068856042551673,29.292955277850844,30.97884763196225,30.39978170689953,35.21108457917107,37.56401248904876,42.65587024439994,42.59870014629538,41.08490395483061,44.44041241294866,46.859944003594336,49.60439203975523,50.88583066977046,54.5585465511549,51.75357946563197,49.37074664580144,54.707816363183554,55.098917881643395,55.00980000563784,54.535411196695975,48.50758720286999,49.46864392641967,52.32158050449388,50.411353464947844,46.06353699765984,48.335152390735104,51.90810587253604,47.00810912049376,45.29816932713229,41.658744638278385,45.0279737192016,44.75653785242364,40.50541022037986,38.104558732682136,33.676246794248385,33.15363464633484,28.649751474931808,30.081051716066895,30.844227496821187,29.936172807525562,34.37165109468796,31.47113212719677,35.37574146459499,36.58195690105765,36.25421811389977,37.343969764852346,40.679814023408795,38.51103681714775,41.24882171488424,37.907075761941954,41.23412043085711,40.82087797188905,36.83034385507063,37.61135360940365,34.60073116206883,34.893533416193144,32.9743911200075,31.192792204425526,31.659081790295787,27.68786299803005,24.354562474808862,21.987388820048423,19.473419608450207,18.326063056417755,18.99340618057226,17.707182784851174,16.22629226567149,22.09178907272043,23.6039430207691,27.62938640189083,28.91549633212229,35.02260069510358,33.34864576305616,36.15662056037509,38.7887913920925,36.51532560921739,33.00978051604095,30.823483713208535,30.521955824904936,26.87731776790868,29.901632709904078,27.552164434323096,30.927227949601676,31.55567226946354,35.34964559866632,35.508995214205505,30.877072563616625,30.27070342128252,27.825168396705646,30.916640256629524,29.287047649911873,27.38691538066282,31.65399307979187,30.453405176174346,33.17787172188133,35.42383712071969,37.15123410684068,40.86532840886695,43.235671109340586,44.66405010405577,41.75786699070036,41.56668757592941,37.88267635562906,40.166702810426564,38.40453405928938,37.84191180813596,37.512382305865586,40.82354804506512,43.04616339633385,39.26946366105127,36.8941201746036,37.83642049191658,33.481099802260566,32.48123716120248,28.924772230577837,28.368407935633606,24.484750027744678,24.419823778271002,19.453041389150986,19.636191823938166,14.81863050646818,14.294438635411753,18.311538019385992,20.17963841662692,23.685685679711717,25.00158057555338,29.214265764017647,33.3494049223755,33.47495319434056,36.88583097221685,38.98454748797745,43.13485887563215,44.53035341528144,46.418035238157444,50.115755326620295,48.49778058368838,45.12605312640415,43.65084736214947,40.4994627945609,40.44998919117226,38.5222739166992,36.418593313744424,34.52805059285654,31.069929668189566,34.2770509774956,37.4705371103341,38.73263731154563,41.17547864652469,37.61024403274866,43.504675196719816,47.03316190149575,45.31526345686498,46.77689401852334,44.78164795363305,50.34957106545872,50.359960925894605,52.277443213612734,53.80478447689692,50.05399606349422,50.73970983872743,48.94754382533418,49.15127008976522,50.17219891167539,46.37376061475265,46.404884127851474,44.814180236949596,40.801622099936864,43.073228053308064,38.88636902932257,37.13882093082341,40.7696799298205,40.529704177118845,35.98676459543049,38.1785847678566,40.42841767835874,37.539064235736404,34.78374058113954,37.82085752467885,38.30984722933802,33.78344653587217,34.882794022451954,39.24453977965927,40.97094894897288,42.759158018721564,47.31001944141566,45.28251537603407,46.24032933765096,50.713728774595666,52.03527067415906,54.39563450432972,52.637442858710294,51.68883330066187,52.21499269014297,48.82462549410259,53.6517342266152,54.65989345805484,49.77927330244824,51.086006645752335,56.26741116404668,54.19066045310908,51.301610581698405,54.04990432839804,56.764441294103435,53.23353907687208,50.83597401472584,47.414518637139174,45.67749484962052,47.55384995342756,45.348629759099666,44.1936533088995,44.26190025169284,40.477289114011406,40.50183903388651,40.871850696359424,37.736565807770056,35.079003687155875,36.948456176821566,35.56310058728125,32.464754302774935,33.70789932669041,37.51036636661296,35.218268167227436,32.25834467969165,36.971712454974565,39.81570123139893,41.35846275615829,43.04870461872666,42.21910021169628,46.66651182590467,46.660343707719846,43.08073562189675,46.26840643329277,49.38046856073694,47.50831767534065,46.79288459806302,52.267108718058495,53.09265528214197,49.242502009464026,50.95742995449361,55.82481683900823,55.41523664486311,52.546530198303664,48.690910267396504,53.74603143833039,50.707856414404034,49.543852669159826,45.022980214403795,42.40727889707048,37.871742760095515,40.949623486847436,42.34553188858873,46.120023677508144,45.30784215540354,43.8898599595789,39.17748311296026,39.5850878332114,35.34949970893538,33.08408416842937,31.89631335597297,31.857990931531294,27.960852194951975,28.094182106356875,29.46308576979055,25.84038150227299,23.97424579186324,26.862462661037174,26.968298243890512,23.368729483559893,21.821093732015644,20.22978184059771,20.363809004798924],[29.88961337557026,31.571642728793893,33.50646559121362,32.07891403463219,33.7997368019586,27.139077495792435,26.406087422883854,24.032149904700585,20.64739492241067,22.323853528623207,19.518624745285713,18.251363313535336,23.636169501699456,22.73186804209675,22.264452744347317,24.478553120046918,27.896297265554907,30.27137813851654,34.72059196581886,36.7219574917344,40.00902755356505,43.98895444694361,45.30642919731802,46.76264560121815,44.56237146416108,40.44311460439276,38.81502537727792,34.73426615004845,32.03667412789906,29.374904908778436,27.06036671220015,26.780355101364147,26.04190992392385,30.02056873485625,31.37174879280058,32.6555270534466,32.64075834217412,36.95151815479465,39.282856291123075,44.71647763209541,44.169181267150805,42.38567472033752,45.90464958541442,48.25270467597014,50.7104578649967,52.01592186920418,55.72216132398382,53.150179811526705,50.916062204114354,56.288248178979735,56.85387927679757,56.94438804159245,56.52126772702937,50.46757532065837,51.737224166465694,54.373837574085385,52.13201430808581,47.96831291859943,50.346300346464794,53.58121846683859,48.43645921549285,46.7060199918587,43.06255256944619,46.00501826846244,45.78494149620604,41.72494381583771,38.70183195042559,34.42163990364751,33.28195708960206,28.741075410100997,29.74390535680097,30.040653820816225,29.686449731057692,34.34162347855393,32.0512482682194,36.096711950797506,37.76522284238723,37.736942760963295,39.10096284268618,42.58347248777136,40.82497804722282,43.59154671662992,40.660896488403694,43.962197349901125,43.20232514453439,39.165488686706155,39.57917646325035,36.949523488777615,36.58788834131672,34.875132680174765,32.57362493516828,32.663035244341366,28.696823128711657,25.72997559437298,23.30034424253041,20.379118829518077,19.09175001430237,21.051489656854155,20.169691959711056,19.696590098703933,25.122968560863033,27.119909969301865,30.760312055721535,32.213630222263994,38.234522243957656,36.348261656536124,39.40163029894934,41.77513785416695,39.27804983806913,35.97998200725175,33.34303383725478,32.840660121516386,28.814329248852665,31.468194028713615,28.708568506054384,31.749566850984312,32.277360445766206,35.74749634255997,35.664180168934706,31.275246677030292,30.325432372266455,28.056521600378073,31.06704229482165,29.792498463473247,28.221898365916296,32.88436159139911,32.16883362135118,35.106499858036024,37.658328535551725,39.72432372719049,43.175503495026554,45.892227123815076,47.11221425249834,44.49557956172215,43.78150396546886,39.83985937512697,41.833738281164784,39.74793493250926,38.75972365107307,38.61065903914858,41.40743028956085,43.789433010491585,40.039032639670616,37.883578053465214,39.15157518067708,34.967506853187594,33.88843563982732,30.702495160615886,30.55108077340269,26.612784178802848,27.149082487534606,22.210838071483444,23.15162467303802,18.45461241082483,17.90988110390669,21.76764347870453,23.038705992745644,26.7596628410231,27.62469325689649,31.95920236210795,35.60283766275909,35.53911969061335,38.515501349943854,40.896359057955394,44.950044941186846,45.931287592981846,48.18682192803417,51.67841747465218,50.09491595122252,46.517990620343724,45.34100516425,42.11143964486782,42.479796785788395,40.826761575919015,38.88784987309196,37.373084264328774,33.70990147920623,37.342199967005044,40.1779282551014,41.67114846705238,43.710698283914134,40.366679654481395,46.25098006226271,49.68752527054654,47.71269272699365,49.06470558132491,46.83814226271037,52.40603884889735,52.02017027894888,54.235513432030075,55.781980663680145,52.1563908867675,52.87747182915318,51.14430242428369,51.50613125216127,52.57327185210895,48.610173425566174,48.88793452915934,47.16600222946746,43.3749754914519,45.754498319046235,41.73975116253376,39.67946683015408,43.073789469402016,43.115484568368004,38.430482106401215,40.02100416887441,42.52944247656632,40.00413455121188,36.680357597313325,39.5082439049192,40.192470180055224,35.61055636951844,36.18181459506117,40.561753713498256,42.31636867734129,44.43878318025785,48.80260340513362,47.14028433658913,48.28090328772416,52.96262693939567,54.34324428199023,56.907787751480754,55.45375572559089,54.5949603238472,55.34715855341091,52.025763640489416,56.87431601827027,57.62327240269988,52.58094905648697,54.1174858757314,59.182733821898175,56.83275311321096,53.97199657955678,56.79581947079143,59.22089213181153,55.52448932363628,53.219527575058116,49.8405218206174,48.53138820982702,50.58892311637626,48.4571363676732,47.60378983884504,47.8515400814291,44.105045723880615,43.781423008782774,44.2183550505562,41.32788490413362,38.42497980093489,39.99096672214962,38.7796269262507,35.62478243880048,36.45864856841099,40.39780653688736,38.12814054646048,34.793818036230824,39.38052973301911,42.41273318734141,43.89081519101908,45.892223688663634,45.195679035243046,49.6759720176263,49.35151417610849,45.571302013290804,49.010575357114504,51.92445750647485,49.81125863567842,49.13715989643612,54.764061046316385,55.24199895477243,51.194301186536,53.118924126242746,58.00665370862388,57.27384173498558,54.25066813218973,50.17051375663994,55.06578539603252,51.72189839160135,50.72714012059497,46.03569157736336,43.81237495558746,39.11916817523211,41.78689680816875,43.436199958872066,47.241111071417365,46.686326147643925,45.6786657558003,40.95534794917122,41.75151937622416,37.27632561387011,35.13821295977159,34.567162210971716,34.71483152454717,31.007233796895402,30.48399340054431,31.780880165198088,28.45271297572018,26.135194370758253,28.512241769184733,28.968143908023134,25.660272912614982,24.14474721334377,22.7428291084009,23.13488681298802],[29.956027495745438,32.121981242381,34.68693621562395,33.59592570357254,35.94132591668562,29.1580909449912,29.078717806086214,26.90448859277501,23.762773583393482,26.00383448891478,23.55734052204644,22.357851191131754,27.835041002962107,26.87757628101567,26.85465679701804,29.079165591633476,32.34249441733593,34.925822607053036,39.320380917811235,41.40795642944788,44.72456071357052,48.73535492928999,50.024879411528545,51.37473364094143,49.160898113348374,44.97683015473538,43.2994016958458,39.1498022264723,36.598394696705554,33.912422647975994,31.876018968347545,31.403938416457375,30.738884318609202,34.796261563349375,36.10532937889893,37.40590504242307,37.20768236294504,41.54456800373669,43.7633628994101,49.22192355237556,48.618948290072694,47.008899731558415,50.59005837095744,52.83434005935038,55.25246497895257,56.418074352171445,60.19843064922936,57.716616888794654,55.320245530140056,60.657263328240916,61.362614030269945,61.43036031747019,61.103610462600166,54.98478232219489,56.27597436288104,59.04218040286874,56.81953209263829,52.647313250168224,55.0831485205425,58.35662077739601,53.23952106626777,51.563228673017186,47.928271652553846,50.875738632061235,50.62555974202067,46.554386107899205,43.50056605649095,39.23137378810381,37.96066119648563,33.437032839616215,34.28910788698764,34.512038442068,34.38491103272294,39.084840497046365,36.900947150275904,40.94667941931249,42.64058227073847,42.5819302782571,43.928644892601326,47.37686923828742,45.49841340588162,48.18644029678927,45.06606169893143,48.26837050751436,47.53608070874333,43.62149776644135,44.23356371637074,41.57864809746882,41.38111129398545,39.6724644602531,37.43789646473624,37.502550586582764,33.55352030823745,30.573118878703482,28.143020751856938,25.250504420509607,23.878501843228033,25.737138437495688,24.5949352795729,23.597869663221445,29.360882965650152,30.767310271236905,34.80260325590128,35.769655923155234,41.805911430085935,39.65052645373137,42.40657087407025,44.6785416041998,41.92383364233642,38.78248408399227,36.03748193919951,36.081215217029175,32.0658943614346,34.96255177810786,32.55093250020695,35.545513618866124,36.39867677241836,39.747171934140546,39.9809582146359,35.68462877739671,34.50505494066576,32.08741580688066,34.73051329069562,33.29187565003644,31.442002854808678,36.065618340768964,34.795803259246924,38.116514792259586,40.5296324654746,42.891317911139325,46.050353129012564,48.79949164960512,50.31034624984515,47.84299994170167,47.12310861559775,43.204648392959115,44.80227126750482,43.032358591292706,42.12856144453499,42.308408717935144,45.16282940328874,47.821207441810365,44.217514393440936,41.95232063575531,43.38543199375669,39.262162200577606,37.981147879471756,34.75084107362931,34.34648023692955,30.205053406747147,30.35704274793061,25.37316480976964,26.00420383156381,20.779529955015974,21.17038246996558,25.294336168521223,26.883613293043574,30.328591411677326,31.664602939062934,35.61693161447798,39.40642140872861,39.73635649742626,42.52386297490109,45.086380871632684,48.92681433170574,49.708068207081254,51.84680342924013,55.25732458337306,53.41598381683161,49.89562708878393,48.74487122730072,45.702774735079586,46.286752737132446,44.73308386702596,42.944321624219604,41.35987880139159,37.916035746701915,41.47378473636121,44.38439368950069,45.68647345650428,47.702134447575425,44.037642783272986,49.91997943018545,53.40297026631025,51.51116572584264,53.1760262598145,51.1312528026015,56.689028828108405,56.20770223557366,58.32006508995538,59.701208251094705,56.02459610414416,56.47789572687157,54.55081922153121,54.72889974929042,55.52522183459419,51.409473540310294,51.4593893852996,49.40906794385579,45.67849428107752,47.63270785511561,43.60139008054564,41.68959367199422,44.71994392388848,44.473304573698464,39.8022226766636,41.38227053672346,43.546615580604936,40.776914544994895,37.49276105875773,40.10397239967361,40.442588851094435,35.8410522146326,36.454041410319896,40.521034266742205,42.62226093835433,44.35907929820659,49.23750416696261,47.72574949587897,48.58578975883829,53.4197198214962,54.421494082776604,57.367437561765016,56.03503291507659,55.52121112825152,56.482532577611494,53.45728225130455,58.40810240835357,58.931570853304585,54.11813862474233,55.91520152432462,60.90828428596092,58.5144661749198,55.9021120578212,58.97160937655918,61.154687579067065,57.35514706564688,55.551958362377576,51.832745961574616,50.847421066083115,52.718232516124,50.22725895350965,49.48952545939803,49.385018962616606,45.978727801721725,45.642282568121225,45.511170066957945,42.69243163168735,40.07250720023926,41.2418734083607,39.62656285510236,36.427788241006766,37.25223316218157,40.852570321635596,38.268222945209864,34.90097757147198,39.45334336716247,42.34426347834496,44.12252426071798,46.360474793649345,46.103945895379454,50.554027385895346,49.86191697400663,46.391241810957254,50.14037855664616,52.78955067754936,50.6056002165019,50.402332725320285,55.953004639971624,56.13303729746527,52.299941091708064,54.589293393178195,59.24535789114981,58.3022926261168,55.405422208201465,51.303825945065746,56.06795766985971,52.659876078766686,51.306019557667824,46.80810823416536,44.726741526047455,40.05462217741186,42.76909641932097,44.71114602745516,48.57325176432771,48.32393399744699,47.27331014392782,42.90923007279929,43.985825564247016,39.70514163436003,37.03884203018667,36.637138175472934,36.381737983472725,33.02314133500876,32.495039108153925,33.10466960228694,29.68644723755691,28.034621018248377,29.69971622092848,29.58215650093179,26.22404381186834,24.935598033903112,23.787280306884323,23.9628508783914],[29.72721510136416,31.742303467479722,34.34310547663546,32.44550404555023,35.11044757633971,28.564424351460207,28.309392708900024,26.797587613596814,22.986645892256657,24.634297848106815,22.18462384353503,21.944867120729963,26.87503895936646,25.02550579398847,25.36654851695653,28.0442110286319,30.803899519557213,33.24567035384976,37.1580392106395,39.74939326817678,42.7970248847258,47.06096657271324,47.9869508170936,49.120053199743964,47.18983873551875,42.86107087183524,41.54517016565958,37.429095023289186,35.268543145110314,33.14296924949088,30.84583946700298,31.225948274135554,30.837131441371813,34.64272859840539,35.84122361421831,36.59684541480566,36.918196376429556,40.60947235680376,42.72770267326316,48.523617914718415,47.35410136737508,45.54858027398281,49.30200210237528,51.389918315858424,53.47731490703829,54.61316461053105,58.42040419812337,56.22930736532684,53.957186012519124,59.2869061060073,60.22084536809838,60.48284265435954,60.266537440818695,54.1277107674722,55.805816965247026,58.36628289440927,55.77010716971164,51.84882986770988,54.4748113931802,57.33977175172411,52.01474216021841,50.477531846622654,46.944987304947574,49.42826028208452,49.0928187372767,45.224992907191854,41.61062187921965,37.53954398685144,35.65330034350865,31.219847676100063,31.619798954966782,31.54861585254539,32.00920826935835,36.82341992527831,35.258315493677735,39.60286834003031,41.51281687545024,41.92713557673691,43.36381548801407,46.82293560648557,45.33767732315648,47.920896940262644,45.27307933138058,48.35577524284371,47.18742046962232,43.29714805829855,43.56883905423886,41.442643837403956,40.59778619344206,39.36687316733572,36.626551047796575,36.569231892500156,32.637265973552765,30.03262901771608,27.349916269753912,24.339431843827995,22.63244086379451,25.650375988227633,24.80526474377255,24.946870462105284,30.09197640430503,32.02274762273044,35.511162907762916,36.68438856831416,42.548481645052334,40.203350266082765,43.32900495031556,45.28778774737857,42.389479252909695,39.47166858478641,36.28179244762588,35.91209368186929,31.561013642353664,33.94066656223297,31.109205869419576,33.70293095976081,34.42748159974452,37.39990578109279,37.449273265095364,33.47611385061763,31.972624319653185,29.762759496103026,32.27167907498498,31.233116233326044,29.820475753872188,34.747264259723416,34.20087785502698,37.55615191834019,40.31958728757834,42.940065885167286,45.85760770603837,48.974624447543064,50.1315024745883,47.98747328780961,46.66381246932289,42.49593371715229,43.871888298858615,41.68414459787848,40.329935727394414,40.6314191704752,42.92189057684932,45.688431550714505,42.15972762957168,40.139894348733954,41.88515199018225,38.00845575299076,36.65896605607272,33.87892766025619,33.938214286057054,29.866155405948675,30.763762390787775,25.952486378646608,27.524305707553776,22.79400510743335,22.79222513311131,26.569286231712102,27.38757099149077,31.042165152886174,31.786720015038572,35.8421928908118,38.99095575696298,39.08823549543302,41.36508018576149,44.19866178259914,47.89418415813882,48.24094430346245,50.7737894299457,53.94515982595664,52.21604187157482,48.493617661769534,47.66954478210855,44.53596656325475,45.534693345728336,44.29820377475472,42.71581904167823,41.60885130660056,37.971136748301596,42.042512644425685,44.45079206173641,46.01910875444216,47.50509654082535,44.17175894382976,49.991578343324946,53.330394339753454,51.13224396134524,52.638431640766555,50.35307461354178,55.867494921496125,54.93463183009595,57.3639043758572,58.76446582439763,55.26331567029618,55.7940449471703,53.99077057526245,54.40014567520916,55.33148814811666,51.10843012973725,51.53390825133962,49.486992226808916,46.02721615302093,48.293896019317856,44.51928523522613,42.18069444778393,45.079715225611835,45.32899470570087,40.53779315034978,41.39921741788699,44.02803398940604,41.880132065605004,37.94610699422919,40.39869546475044,41.18175899537647,36.607161149139536,36.56231976107117,40.77716041315601,42.65741016041657,45.01686694714116,49.28268369839592,48.127382712381674,49.37674711243208,54.32421862508799,55.64260851487608,58.56488914462463,57.553707284348484,56.938661864630156,58.06127520426978,54.96965846839145,59.86376659630332,60.17242708553931,55.05383908530966,56.991940828538816,61.84698340580768,59.14592105651309,56.45888619929266,59.48620505324045,61.416928257034236,57.49429628059108,55.578256973351046,52.09324479775401,51.48224941760038,53.652081791150295,51.45347266177395,51.05204337099335,51.388142502504216,47.863598348449344,47.0769817446433,47.35687975492471,44.84620571132121,41.75750497837955,42.75995302351489,41.64088665062485,38.43757055143755,38.74297575751222,42.69124871861263,40.393705564431976,36.6301326276659,40.971637950677504,44.161647953945874,45.6224782641134,48.070824607410586,47.699137634956145,52.172264560408514,51.31597341165694,47.428426417941544,51.26638846233166,53.80653617364746,51.387294128361994,50.9595840076479,56.69451284849945,56.6241640883115,52.46191908129058,54.7810489594478,59.5529350694994,58.35111802396946,55.22150157236524,50.9074138982731,55.51886573607993,51.82705237196993,50.88580796343299,46.128781323175915,44.44017911157176,39.64560887597659,41.83051444116363,43.87413385661469,47.69382086562892,47.58352247534241,47.03019231661985,42.533344250488824,43.90990664578151,39.33302834437553,37.093417224724796,37.32278538434936,37.49828956485506,34.22807149387655,32.9592755159907,33.83848932669843,30.883848913873507,28.407964644856555,29.833685692204106,30.457473709755778,27.564091303325053,26.22506196934057,25.194541766664752,25.80533937792773],[34.737205852667806,37.04304839196466,40.036442561393294,38.109579333659696,41.1575716301493,34.67308700376632,34.59548519743714,33.219899496047795,29.379696126145294,30.889672297441447,28.376405827022236,28.24288884187268,33.06710550007414,30.977792976906795,31.104091918246105,33.888820372550825,36.64751508058566,38.74365136007172,42.38457397076312,45.1660563676448,47.942579761879955,52.2932731452499,53.00030324869469,54.18765326413305,52.53549131082657,48.21507397619458,47.19850511170338,43.18483839222413,41.04453768870795,39.07281658055419,36.21196659623612,36.988815668630394,36.204366684810324,39.71540776175292,41.30798839886328,42.14142969290364,42.77457141322398,46.41824911783403,48.64249592987655,54.444295538626335,53.225342908552264,51.1479766313491,54.84583859889812,57.034318739221064,59.00435054266689,60.2704655228272,64.00587714279273,61.862037549344244,59.81692554187741,65.15914328264232,66.03208865646035,66.36218421453933,66.0395433123193,59.996752854343676,61.64930547893681,63.995022120020806,61.342844634848625,57.46889594541486,59.93165120579346,62.690529598256624,57.264564938155,55.46144195104798,51.83492348228815,54.08795717325312,54.03440578185558,50.35924672913094,46.46149704687728,42.559037965372866,40.49161954019027,36.122779144320454,36.33444204628159,35.70964335658996,36.36682972038605,41.15221897335583,39.95055156055449,43.894177114634516,46.342388575856276,46.599740746868356,48.418388285662516,52.08739212937742,50.87417843518204,53.67642743713233,51.20097535485366,54.430051162836314,53.289371175826226,49.28507565308353,49.286341868225556,47.111928327341815,45.98029730931548,44.41517397445241,41.53951054800866,40.92742836747916,37.18468439571314,34.84710252600911,32.62943269787941,29.318938553913323,28.093706300576283,31.283250002340672,30.784166535663626,30.870399091586545,36.04118826676092,38.18454477441591,41.65154203292019,43.00566428096195,48.90830449806725,46.63570435641851,49.72904968885044,51.70894371972178,48.77328054229912,45.87981385844338,42.675888604616375,42.347211434061116,37.96959022489759,40.24833372131354,37.277118367838845,39.704993757101946,40.262551345063095,43.041291234278404,42.73949055599021,38.96180571032846,37.42028544552202,35.46678228757583,37.96604160392549,37.177665466011234,35.952929403980825,40.946488070292034,40.478044009414866,43.91220191421966,46.69971967595184,49.3784277142269,52.229347132554395,55.387988096288666,56.54519398331715,54.43021578055439,53.05115389217197,48.84552856448326,50.1111673777159,47.84967811394604,46.32706773862843,46.68257324345898,48.664241416294736,51.41268270836097,47.87817448596912,46.048076178875306,47.84589629049753,44.03257322047668,42.76762928090235,40.12515598490023,40.315318186174785,36.28820333304412,37.20839430170366,32.37925781579722,33.77026297004581,28.840509881212668,28.89557146601666,32.76354381899947,33.698066712065575,37.4034190844959,38.07316253556885,42.249489449094696,45.35714949730225,45.28675075155289,47.53616016301645,50.35285898861841,54.092268409979894,54.338552396706106,57.011728816074026,60.1013902628472,58.40366226540931,54.624323640029395,53.915483464246115,50.76400093263266,51.84155450094302,50.629081674232275,49.002158917948464,47.896937331277535,44.156092143238446,48.149689510590775,50.62270809106813,52.27292102611542,53.815193757082376,50.57860073200496,56.396490189820014,59.720663399425284,57.48670129540735,58.867868803056666,56.4526291684908,61.95536926042786,60.962321203890134,63.52478773386689,64.98126662756971,61.5361682551602,62.12215964835648,60.350423457789766,60.79044973187196,61.705295473857575,57.43646437680361,57.86027852894633,55.71152793592624,52.30958447167386,54.43882140665921,50.67287204571706,48.37850641237955,51.09927245627585,51.25236487851897,46.475775915289525,47.22788374426929,49.724622584904964,47.50289147293776,43.54564208400828,45.80714798480991,46.41566385374732,41.86813738705661,41.72453037777892,45.68401290490746,47.7691384307637,49.94826544905398,54.45170128509537,53.50203046571718,54.608691695405504,59.66101739192101,60.72487708829027,63.92000553742955,63.01410368088806,62.61577620439269,63.85003597088651,60.91103664897856,65.84918166046754,66.05076867087287,61.04740903380641,63.10322301908244,67.9190214444206,65.18034669425224,62.60262516442324,65.71775131672491,67.51735684054353,63.53500106362312,61.815346396144015,58.238450677811706,57.77844558251902,59.89151118446599,57.55841876486351,57.171642643942604,57.314448841446946,53.92524049039246,53.20344398699848,53.21372326783541,50.6824634728067,47.784569255409295,48.637975102740974,47.274575684594126,44.059441632550495,44.39872492153488,48.115924197456685,45.607195034729486,41.86538956318262,46.15176969547063,49.223450172469235,50.889070724738595,53.488287551115974,53.38546731201072,57.829542490126876,56.74874212783352,53.05293046054197,57.06609846194955,59.43607891025974,56.954101798235314,56.786008220166295,62.483486062669996,62.18887564412096,58.11637626197404,60.65076409546952,65.2964674481279,63.90493889895786,60.80900465339758,56.43921204667245,60.88684952814759,57.061873391764145,56.010998077705906,51.340257024632685,49.89648444314149,45.115348147338516,47.129441621821925,49.39335910281949,53.208384672260635,53.333282642318466,52.902248380517,48.573183257407806,50.12009492385264,45.57368694094064,43.21437630734623,43.5592886621866,43.586741658729906,40.43050689135944,39.17863951620477,39.7819874312202,36.80683578112101,34.60355779474947,35.67100050509688,36.04462195997016,33.157773159733324,31.921809506992577,30.956591722615528,31.388444637951952],[31.034473247166332,33.498744333363845,36.87574232914804,34.85296497766508,38.49192660287694,32.19177042966522,32.612658187739086,31.814630743644052,28.00499591661821,29.84399232125129,27.872219783292675,28.207613541218617,32.815284963037485,30.447247048430572,31.466615711345767,34.348158825179674,36.58878968790269,39.137877137389275,42.60898699603531,45.597962521892626,48.46671497891213,52.89706892180198,53.52973490834205,54.361369567390284,52.63099187413768,48.17288652051607,47.05889052673161,42.941438905591866,41.23859626889936,39.459888356140134,37.34815906047906,38.002722458758505,37.853808817073265,41.58805059542406,42.66176563631342,43.09658216175979,43.52691756555574,46.8102649455835,48.7075639970002,54.719967341853625,53.09748608637798,51.38997571014169,55.30879870404384,57.14198685711309,58.92692489098063,59.850005322044716,63.74496407828187,61.8978613560591,59.5204154314021,64.76275364921135,66.04006629908221,66.4153314347451,66.40212799592133,60.196978648525146,62.16700031666862,64.7355233428795,61.909304947910606,58.171576344184956,60.99251449848822,63.60765872534417,58.19844245751312,56.838437689949444,53.40803371762913,55.56662874252438,55.13168805475356,51.416109173692696,47.42657705498825,43.547944880970775,41.13781725093989,36.87498774953413,36.800528445864735,36.45925800037788,37.55886236279728,42.40300322082178,41.38140556018564,45.87498808769862,47.92753976020653,48.61348011105221,50.072824664524525,53.47943392430992,52.11577335218294,54.52398841418877,51.974109116227176,54.84726892410764,53.4215723743651,49.71623218619877,49.99761330133943,48.19703106250905,47.13501876264274,46.224507524116405,43.26460032471132,43.11765921286286,39.247573256887556,36.86229095415938,34.0593373627839,31.065652858950425,29.130317093345198,32.58251898946432,31.638004603660367,31.85388784781785,36.983238643472575,38.596154793156856,42.15884462150918,42.91778693746698,48.645199173772745,45.881017430838604,48.88061347696095,50.47851202353335,47.19805212375022,44.66490634519847,41.09142356063469,41.08983754072702,36.61787544960473,38.88347423952499,36.25253276066415,38.460054015773636,39.475330517037584,41.97472816900973,42.29631595376726,38.73874448477015,36.78226210167788,34.595515871862396,36.48333427250821,35.55128831679706,34.14539013030448,39.08813388005166,38.387232900574375,42.15819853373387,44.95085409480702,48.07781966112667,50.424397558965694,53.81692707021621,55.066276369714195,53.36161394320383,51.60978314283306,47.34520497890126,48.0432119914348,45.98483743909131,44.43427408579126,45.23640452637217,47.152346344836566,50.31090495470182,47.07389982197135,45.120701759319545,47.25871861355632,43.67505959224402,42.06070481238232,39.56811379863868,39.63280707182239,35.45126696008408,36.37049122534616,31.715185238670564,33.48285857257445,28.604340273212333,29.265165246664015,33.07282998529146,33.776515550937845,37.2204676217108,38.1068224536078,41.75914427234564,44.62008613006949,45.02455375335583,46.70507185891054,49.91299458659418,53.207915675677285,52.98398830858882,55.62915708557426,58.48623023884166,56.52543493174276,52.76996211097078,52.23221434426159,49.31022395530627,50.86019420171602,49.97878737265149,48.73019580008413,47.867190829669134,44.380466090978715,48.6767834246617,50.8284916269773,52.34187929665923,53.427302832397515,49.96244501072212,55.692145810247126,58.962062362777836,56.66191397182323,58.43357616562523,56.22009282376245,61.65705366116712,60.281585167482135,62.79179700489672,63.984722324021675,60.57128891674036,60.814835781354326,58.87161461409382,59.21566455381371,59.893963470788,55.4351789584945,55.84901417946924,53.40722848379677,50.27569065914045,52.20906254652148,48.6606825186934,46.22626218208093,48.512729681554575,48.77111582797528,43.99314542052115,44.26341610845791,46.75407911865996,44.82466201835357,40.519269522426605,42.49135573496937,43.155621533711866,38.70086522986093,38.16619928541014,41.95383379034358,44.08116148491465,46.385011346950705,50.758164001418415,50.13166810623137,51.3016522699165,56.47440853937389,57.52705580285308,60.90939427174507,60.34015141216378,60.10852309800341,61.62357820904091,58.893448848687534,63.83062690003662,63.67143941610562,58.6619319266088,61.02865498352545,65.6385737691565,62.660073558123386,60.266420315232246,63.55338884657986,64.94800384686252,60.82786534011702,59.50533114186106,55.7972819117583,55.89618706593697,58.03491830912351,55.6258526277115,55.62932815298214,55.85395349567564,52.69796509142141,51.56908729478291,51.44691639460447,49.28951963504165,46.24320009968331,46.61706982241198,45.38955940816117,42.191719194640775,42.084735143282124,45.78985522643776,43.36374984359838,39.338232162971075,43.35403796239068,46.53235925256304,48.102101680124726,50.99037596275523,51.10366076896168,55.49517386597897,54.035125556882434,50.27945605500391,54.53802874628156,56.60777155373735,53.93554953199853,53.95922272695257,59.66864323863535,58.991739711753254,54.90443616738825,57.708299258600526,62.20708354531267,60.515065331962084,57.40592282834989,52.95002337507049,57.18235078770356,53.21524669160376,52.137089163329094,47.517836677806244,46.39205692015809,41.63698323948221,43.38884104955209,45.87640986976337,49.66381452434865,50.0882868019053,49.887079425759175,45.8419248269498,47.78339912765718,43.31681017490411,40.77887349676429,41.673381412626966,41.668277687955005,38.94324538592994,37.1814943091619,37.39743003301598,34.76165475802262,32.5786434233594,32.9115624729657,33.35375933733626,30.863836461067905,29.80910976407665,29.184649670470446,29.80696073384709],[34.80648646167555,37.12686728253262,40.406150196609936,37.91999578145064,41.56512477782239,35.482697976297814,35.622389721096255,35.03278577682246,30.902939001050573,32.158561376582504,30.01024168355549,30.72526987480399,34.96381324235456,32.149432830870616,32.955800221044164,36.03783134710011,38.11799022529787,40.24429866042636,43.30819857442297,46.572377115298714,49.09872682764378,53.64584136181261,53.9815201317027,54.80428230907717,53.41056870511918,48.9617916246556,48.242930876198706,44.28050611989269,42.69778579517672,41.271843571117614,38.580706950482096,39.90205869736171,39.5650633547693,42.93048039650202,44.23222856267879,44.49675214659498,45.41612027888221,48.37983394027492,50.34991128540296,56.44482685877574,54.6046226266823,52.55447299874643,56.44698038200635,58.32612245908136,59.900953587915176,60.97081445940222,64.7681456326609,63.036819183949184,60.966503778077914,66.2073714270541,67.45570397112931,67.96859703676752,67.87443969467436,61.788362240800815,63.873537971534105,66.13595945759717,63.12441962896937,59.54716540627007,62.286004696895304,64.62790646905817,59.082239161314085,57.577920030072335,54.14561767190174,55.934733424585175,55.67579058663837,52.21295278095019,47.839356396226385,44.19632702647388,41.48148782410517,37.34969673716967,37.00972141720377,36.17678905088636,37.571936357403146,42.36658982584996,41.83281803465501,46.12627836624424,48.60589508095385,49.385732407800496,51.136260317247554,54.681114547145846,53.72037346758446,56.259962394690056,54.10993861419453,57.06974135413513,55.49568461399905,51.685052272571035,51.55603084512342,49.95024040977683,48.37674187702592,47.43419484310984,44.1828676846831,43.62270894435498,39.93070109250586,37.91682372813525,35.3678056769035,32.173104086719434,30.497957226449927,34.47810381835435,33.98160561240323,34.738472095156745,39.50065612026428,41.667606258560646,44.841746147222636,46.01192620841177,51.67928803166534,49.04315980341338,52.280474036483575,53.84076016084032,50.62946979540977,48.10801670339459,44.45042089402462,44.065688747854125,39.48211456762881,41.361025997210184,38.32954781896697,40.2672218714684,40.94376371374346,43.18705330038793,43.01940497450504,39.731994626944406,37.74236584769179,35.92430255177458,37.908428070594034,37.40932558555443,36.45821558443357,41.53950618059535,41.43956803159501,45.05717860883488,48.04573556851781,51.136067170015906,53.498254007236795,57.017488801972355,57.98796558012113,56.34450101695842,54.35149428473539,49.978476613783876,50.72309646980735,48.30360674971555,46.426642617380786,47.13616857954594,48.56233141303255,51.585730310352716,48.32777600340165,46.68036046140913,48.8816824379422,45.43771517392454,43.96702098581547,41.78241902418407,42.223974285172645,38.22446848394604,39.57847422081903,35.00677833224223,37.060807464062876,32.4165782631232,32.61686554878895,36.25300051497812,36.65220064361561,40.29632341461544,40.7183264658253,44.64096917581509,47.163640007899104,47.174052774522,48.723675492562734,51.91184151547534,55.27028727015595,54.912051848532045,57.85559565936919,60.59285743827532,58.84250727506796,54.95618314578895,54.61336399545497,51.56227823087125,53.20376222272343,52.40973912663785,51.138101421702935,50.48465293319818,46.77653482724765,51.20916147010057,53.17990736077356,54.92986933984717,55.87135520224512,52.76604111180602,58.45172182391167,61.6258577837213,59.15501203173308,60.61375897914364,58.13621911482311,63.52688050390799,61.98839692181462,64.75925647842841,66.08079868430005,62.81391892990682,63.26371811011323,61.496214987641736,62.04139941766685,62.89800886699816,58.46568190674621,59.129897164792055,56.80233931107824,53.77496979904487,55.942237615868144,52.492949775732995,49.87899172486913,52.19716934265967,52.70356679147598,47.895135508903934,47.87567578428518,50.61008837524671,48.95428333639069,44.426148872581834,46.34222317474875,47.2179730654055,42.803835582056756,41.99335176469464,45.824174817264385,47.813994783911085,50.405128871115174,54.43962509968264,53.98329485120408,55.337685375964895,60.52577533445533,61.71697233023941,65.06142549667034,64.59285786823106,64.28225846804992,65.8073877673087,62.99626360762473,67.89011116956884,67.71529486720547,62.562221893086836,64.90920583334757,69.48398534249067,66.40519894396303,63.92712055583699,67.12152834256895,68.47069660613911,64.32948695143332,62.82960297414732,59.33207600461205,59.481963982216556,61.777359853229875,59.565563807982784,59.61975424761437,60.03600216637069,56.75078448333077,55.53883495569621,55.66368830999913,53.53645863701548,50.330657718964375,50.77227233925389,49.73708471407914,46.544771400260814,46.32936558923504,50.16936765653938,47.84796696676185,43.74462645410547,47.69808055698295,50.96240795966832,52.41285315378192,55.32967424608913,55.34445163705546,59.74252789181416,58.28844285731726,54.36335705589088,58.592951255708805,60.66049856289217,57.913887031583705,57.778536338947006,63.558847089462404,62.815534766611584,58.565503963220024,61.316308272950444,65.88913542646137,64.10151659550522,60.87057731674551,56.32629389450511,60.453078080290695,56.342486950457925,55.54363922043348,50.80000602826151,49.898172010160785,45.11646296621457,46.5377940441409,49.034749307864196,52.75600363550293,53.21826453347562,53.298047747554,49.13619907965412,51.13672941966572,46.501570149619184,44.3143390615957,45.38717936303354,45.62190792141762,42.81470609286871,40.85530346979764,41.331293789729855,38.85075599035315,36.27500171730936,36.68743439981846,37.47917194935118,35.12425002325054,33.99810766140457,33.30495436450238,34.01461590954229],[31.92691546189172,34.35218879429837,37.9180820775952,35.405999756685475,39.502251123633236,33.63471334790507,34.19257165625156,34.04869909829583,30.03839823325204,31.575387713889086,29.893567246541288,30.899630924288367,34.9585632150325,32.02121472559063,33.50735681880405,36.59851894989665,38.28995379101886,40.787522012497625,43.74710686501358,47.11176383966966,49.7353960631788,54.30417954905097,54.617466794586925,55.16284336814523,53.67562573787904,49.144577734731755,48.30896915953781,44.27680407879011,43.026415703781055,41.713785594535366,39.668313285853614,40.80049210090996,40.940720446273055,44.496866406015705,45.38907825591354,45.38570679364384,46.086821923869294,48.8043068177886,50.505921503451376,56.7193708046702,54.60598029182532,52.89111392389993,56.936374864231546,58.52988976300863,59.980491080426766,60.76112949372344,64.67915212950456,63.17144671822428,60.81557876754652,65.95874280223914,67.51903333133706,68.04811591639846,68.20198832379052,61.999238366842235,64.30362952736186,66.76548341909947,63.65616945028332,60.17482717374074,63.18424159467224,65.44540140507368,59.950361555762996,58.80246557339419,55.52898465811787,57.2909297289803,56.724990543289074,53.21368928685703,48.84503083308544,45.21146211105,42.30083083558511,38.27058835979002,37.75313617590196,37.2089992132888,38.87977017864342,43.68327701557817,43.21739370480512,47.91452636919443,50.03131170591283,51.104482290210996,52.545868202722886,55.864127745255246,54.74301305457757,56.963038792743255,54.71637508023643,57.388350630770944,55.624071973768594,52.07065628010371,52.20270392336471,50.85614730562891,49.4099269193153,48.95173780735897,45.69894713705185,45.53543173638761,41.74720143800998,39.65656879872252,36.68185235154417,33.76845804600859,31.58261708617757,35.625615021753475,34.763719680373626,35.5305077477328,40.2694862045121,41.97088025493869,45.23684033006144,45.91293405817174,51.418425060316,48.414685656851404,51.533503379466254,52.794163496270066,49.33051469311593,47.10695364215008,43.20304688426075,43.11083334728733,38.51173297080133,40.39484908455129,37.70056154394106,39.46865596455571,40.53300382530239,42.56020770491839,42.93924132476903,39.82371946342501,37.53552795974845,35.51760376967942,36.979362573035836,36.33289914459302,35.21069579782225,40.18130899190421,39.84708082445711,43.71122256788466,46.66139585977986,50.08333339193123,52.03152228201594,55.702764618853074,56.767320783943234,55.44718701227819,53.198673093752475,48.81773014229037,49.09935419077712,46.89222016511751,45.035415184738724,46.109128508818124,47.51884964788556,50.867415002319774,47.86742108674478,46.101502018765224,48.54760995993131,45.290245502159586,43.54595590980041,41.46387628165332,41.76606022127746,37.67311042341954,38.96835964700322,34.57604358814603,36.849883675415064,32.281841459660036,32.95373815706136,36.52217091206352,36.78748716513562,40.17966112414872,40.80944859630673,44.27654937573275,46.62734128009593,47.04325223242839,48.157808000263365,51.63112587327065,54.61839839595401,53.90487512565131,56.78116157881615,59.33243936994468,57.358447403100406,53.5239024371438,53.301871084355504,50.46382408225945,52.458262101056235,51.91684310239034,50.94481954337787,50.45417294335568,46.98553757147286,51.598546036580025,53.3417893990229,54.95158899396087,55.558937955979836,52.256705585004795,57.84806002282873,60.97537102577489,58.48341444973779,60.27212989653368,57.991951015260604,63.313831851689656,61.50293670147504,64.19152525123314,65.28729881948546,62.04197056157302,62.19961857168902,60.28760045820884,60.73499728735057,61.383289373213955,56.81747044642258,57.44766969142844,54.888784281599875,52.086772146153926,54.06385144625314,50.801800859672284,48.11145660860011,50.061760932274574,50.62947757980605,45.86087227125252,45.47113209519781,48.16175955872804,46.73639259185493,41.982940367584604,43.64498709408469,44.54601164119359,40.25034625609251,39.13773586492504,42.78262643373968,44.79839697412639,47.457610609540424,51.37784132898909,51.18246028014195,52.56680152314815,57.82142107332341,58.98532637463794,62.469930443815976,62.26646061541829,62.09809694376279,63.83750912351327,61.21236069967257,66.08592864780067,65.62650639763562,60.506591535917266,63.09139555854148,67.48584224491209,64.23769371838844,61.92599208036301,65.25167074824527,66.27486784257337,62.04260438902193,60.88560332717463,57.28197042440658,57.87227541544589,60.161023851503984,57.88282414177651,58.237656049488095,58.69652924725214,55.622042159954255,54.11035323907766,54.10797023663697,52.28152674478462,48.99992973977405,49.05900828991798,48.121835037894144,44.97133380524085,44.41725267816352,48.20229230935517,45.9583138097071,41.67812790053546,45.37927261900421,48.69482729374611,50.065882055035615,53.19074575969334,53.384853248471785,57.71311970827001,55.96456570004776,52.03061450687017,56.43242393690698,58.24734955421134,55.36769175688245,55.401488116426464,61.154752857768756,60.10867538071821,55.881320211921285,58.84261357861038,63.26806066363395,61.24917863808556,58.03092414127946,53.444721498756095,57.37915288659406,53.17663336827506,52.34193367224092,47.676551172767084,47.036458817459504,42.31618948482226,43.521250978015956,46.18984694140328,49.86792199803102,50.577040223708934,50.82662080967541,46.93573048137103,49.2368939724395,44.71631081334751,42.37802629332877,43.862841766341575,44.0506817203623,41.61488061431006,39.29553052339435,39.439891051533706,37.248791920317096,34.75464792394937,34.56625634208406,35.38225205332566,33.375446490920105,32.422070024922995,32.00869279090885,32.8482347489839],[30.45784733778214,33.11977151281301,37.095470108606875,34.804510853741355,39.3853526326582,33.72643856161339,34.820385581062965,34.998690851108975,31.28597666612159,33.22964301663803,31.984245183035654,33.05465168224607,37.0597720895964,34.188380866542396,36.183343082124914,39.198978672907856,40.64911714995397,43.4775964466299,46.41435455181175,49.78348607034898,52.51933340102245,57.06363326176532,57.403913697570225,57.74292307516693,56.145623834261436,51.574174623422024,50.586708541829815,46.497645832180105,45.47532788654323,44.161061909229396,42.68491012185361,43.514780076779296,43.97251673620729,47.71847851056311,48.32338730093697,48.206728408594465,48.63207231871762,51.25775446062004,52.73945482755328,58.988201003668344,56.732935143028406,55.3505736673066,59.49372200902361,60.860510170012766,62.24647770832427,62.766367005386726,66.78379384260988,65.43967799289747,62.80770783214485,67.85162564574708,69.66200803435626,70.17025485645316,70.5283784431338,64.23142703909808,66.65479747151446,69.32746177422221,66.20149781102542,62.76024468504518,65.96184339619954,68.22497092385026,62.80840163591128,61.92091294714595,58.754624047201716,60.560850890306675,59.77420656421487,56.200693521772685,51.9176292819087,48.27081458250923,45.294174330640274,41.33964126497786,40.7436363529759,40.44349115137106,42.248129254846866,47.036693202558034,46.54529281551233,51.483210320613374,53.31358693718961,54.524827393405815,55.72659031866091,58.86834838167663,57.54739938968507,59.52118834961006,57.097042117366925,59.53667800772422,57.6937600958015,54.37073706366046,54.793029201087066,53.563044170237525,52.33896647314594,52.16712381616473,48.99826149484489,49.12881461104394,45.2700125327798,43.06362734572878,39.82636496082771,37.12788590238168,34.62986791929713,38.51741246828282,37.308294731716714,37.83931419400678,42.69003875054841,43.85416654998335,47.33030146883471,47.49129061798558,52.87117242338074,49.5456766785545,52.43217054537585,53.45129441737971,49.74779798509088,47.801630944435416,43.750976501143725,44.089658937700804,39.56548362442248,41.566899389518404,39.3068765402882,40.97923485736861,42.43535007821896,44.30970931494721,45.21428349486916,42.217031568409496,39.72347853049969,37.50245102339167,38.48036176192338,37.61814679472157,36.23456467860646,41.00224389101531,40.23108701306047,44.35919458869408,47.17129971425875,50.88963344985703,52.43426076160075,56.175533313811684,57.43713050602293,56.388699745963024,54.016955449779765,49.69375212243089,49.51176059756696,47.64148648883393,45.90342596840934,47.334898384191156,48.81925307159556,52.463615993895694,49.711336600894754,47.798464660853135,50.41776275975108,47.29779561206483,45.31371697117626,43.245629867626924,43.31349413228796,39.12037007014623,40.173102218812275,35.9310238357794,38.177080289252096,33.56545213733305,34.799828764062866,38.38135466970397,38.703592175898116,41.8015475271624,42.764746662598455,45.76578905021083,48.08947377529593,48.94608108301052,49.743000920317684,53.432218837041425,56.07996356426669,55.09056333353967,57.81288651538108,60.20897680270625,57.97202831842863,54.24431541582677,54.08686973130683,51.50290503476787,53.77221065767595,53.4172605031405,52.694011398150224,52.25242194020618,49.05456751903636,53.7101055802603,55.35714505450321,56.773675391188796,57.17899351582979,53.609429944280784,59.11139115925144,62.22097505541904,59.781284025725164,61.93031389502461,59.890366962681526,65.14831137744117,63.160017431749985,65.70620272977104,66.56865020819524,63.31495621226239,63.15074235384381,61.0579711405319,61.34142026001573,61.71836382672016,57.030886369138244,57.51710399242851,54.67793162699967,52.074043031810845,53.71265870725105,50.60295488695922,47.96037547962444,49.48007121029055,49.953559800201255,45.2825679267044,44.643336590002804,47.10572364232099,45.75946552631163,40.93744802781945,42.28850419922726,43.03809785169158,38.90188376788326,37.59973881365583,40.88749877774877,43.05375905854735,45.54649972033315,49.57132544274584,49.63810425087418,50.90048654038043,56.21913969166462,57.18406017600095,60.911618393637944,60.960288161248194,61.04544217242519,63.015599883668465,60.6686945685132,65.53648288699276,64.78127467019677,59.824240751561995,62.66753239059207,66.87591176938439,63.5153660883748,61.44761709409935,64.95057150702638,65.63904960754336,61.32907550769578,60.64664480152377,56.84046820911144,57.86066249752963,60.042503355109076,57.580973861827154,58.188846395536345,58.53169533663085,55.765826432634746,54.05526914583051,53.73324081073848,52.170041971933784,48.98101758459468,48.612118184925386,47.5993356609081,44.5087831006944,43.709641138137314,47.26163978816979,44.986377526027844,40.63011806616283,44.05548496001973,47.30400172895849,48.71949244675862,52.063141478122134,52.569342810827,56.79079628795112,54.6863262711351,50.92109476900948,55.53400021791469,57.03507865609228,54.055966980005365,54.42152706789635,60.06843030107759,58.68183298050772,54.61082977945683,57.8601148555512,62.03841850519097,59.77681405377875,56.658277626265246,52.08210286752907,55.78214145446321,51.53176589648057,50.495785394297826,46.04297432465375,45.66101290237326,41.07137530948581,42.13584960732273,45.02395522259653,48.65165414556406,49.66460838932496,49.99301611190941,46.504332419697064,49.09422281857866,44.803994835579715,42.15634953486133,43.95434519319253,43.94030610513165,41.93121194111787,39.418214706867786,39.0517527044259,37.071926136762016,34.95599365097961,34.07809016160935,34.651530511617665,32.93526230591702,32.21443321342447,32.08929124726983,32.9171162165164],[28.545412584967345,30.98196190635602,34.896647398474926,32.17207168452245,36.969062676299366,31.765258104230725,32.91748410380585,33.65372292575395,29.880919165737787,31.605483897345202,30.729667854252767,32.32057690234895,35.784734124039254,32.5931635595248,35.09025057470868,38.16150412460127,39.09547595493932,42.015007906426874,44.60608474796543,48.15508139586572,50.793365959879935,55.363182431323786,55.546411167785465,55.61077474800252,54.084879914930944,49.489333325503196,48.591381319132054,44.570554478391315,43.95273852208166,42.983676656092264,41.87232361653567,42.89130346269143,43.75845392822465,47.43333734015846,47.701481231973524,47.189330205066454,47.67894504656472,49.81526943422717,51.055558736500295,57.40979613827813,54.78100692659473,53.55218577349561,57.794409857172816,58.892364948679926,60.044961452486795,60.36503434517381,64.41738738577236,63.347278180552664,60.62718081510248,65.54743106529779,67.6248244925645,68.21258354948758,68.77038026567234,62.46738148426863,65.16075484192595,67.83582853807582,64.53005518300347,61.29998591944396,64.71199635998809,66.72787520032938,61.33396597795669,60.7583127055623,57.79499878934172,59.37739231952827,58.35252618285404,54.882246210697055,50.47598404895984,46.99280408327523,43.72781115315933,40.002672269795724,39.13268058076828,38.94934978941803,41.10268524084673,45.801620091359894,45.59390423463697,50.821266033889486,52.42545087518689,54.00598207468419,54.99986381953568,57.935612311905224,56.69390977066636,58.38949182269059,56.152549105592904,58.32721528093607,56.20318137348104,53.102877967698966,53.53350866862018,52.718440009710704,51.33337088073686,51.688119403807576,48.39024694342063,48.760954701280916,44.93592509719588,42.87958164641154,39.36075896367557,36.922543358885875,34.06938478722551,38.262462411949976,36.9890278791933,37.97343386824772,42.39233524898146,43.499096887580826,46.68364126507628,46.67522643885222,51.77515653426124,48.24250927469361,51.21424605527415,51.913923928776384,48.10008789074387,46.44240615674347,42.14888002840222,42.3963463691739,37.841219283594214,39.52275700979039,37.34095758095501,38.667836586855955,40.26183792593505,41.78205903079774,42.94278451471158,40.278993795461254,37.537837755595135,35.35712146311886,35.89519091903077,35.15788042498105,33.93810433178113,38.61654804272077,38.1264866012632,42.26685114981881,45.17393208215696,49.09734584324519,50.30056291177452,54.240121045242724,55.33143348859192,54.61713289212109,51.85494806254296,47.4873612678494,46.97467323381864,45.036727656822556,43.130969452181546,44.786929936651816,45.975573449461955,49.784075046595774,47.277516450498844,45.441557977821084,48.283110146967864,45.45831336331536,43.3317063312353,41.58801877629357,41.787142304853845,37.71847502578798,39.06099014460169,35.1546338166278,37.87259215742619,33.713350239740784,34.924981056160725,38.183239700952946,38.077742249004665,41.03223750842841,41.8060064386643,44.52022760573762,46.38526285170614,47.342996835961046,47.63918182754261,51.537065313444494,53.86306725611913,52.49549761506263,55.323068035056885,57.47673082062744,55.21687649434901,51.47407046982612,51.538186646191065,49.066493478437444,51.67646806402442,51.61294916909525,51.16541881172377,51.04863298888264,47.96538126063398,52.86361485774532,54.11656014141081,55.55583830425181,55.51800206555994,52.0692606412249,57.39993872957744,60.368606726765485,57.80244647503101,60.01968846993499,58.01209043095544,63.13695249771613,60.817916655272285,63.429502911307985,64.16943170580086,61.05153263286083,60.77882001908765,58.70709824708495,59.06227583292312,59.419012866890974,54.68619001650264,55.36255117925666,52.49009813331438,50.168849747058246,51.910071370485014,49.07312685630404,46.197690192463654,47.49566531573556,48.301597860609064,43.6634849323002,42.47775633207059,45.1881753470118,44.35439011544284,39.16338141700573,40.32557427072232,41.39821308150307,37.41793240960408,35.63064214166472,38.92901046340928,40.85574295728663,43.78915313357305,47.23399576984393,47.574243958892566,49.11752055870251,54.43060274176773,55.650439899001476,59.29045735234136,59.59160270239214,59.59976244027111,61.68937780011679,59.351871842391844,64.11701957658865,63.168764125796805,58.06690011870589,61.019395635718766,65.04667864357575,61.48382136428674,59.43100525249129,62.90086164435632,63.33830120847744,58.97812996675345,58.33178868246059,54.68794186404944,56.05608225608303,58.38864760606559,56.13350530450653,57.03329354507998,57.68217515343649,54.92842786998708,52.867286178399965,52.801462655505794,51.543612619783644,48.07694315247385,47.51609141846011,46.90031589224376,43.88498425563712,42.68104036883425,46.40701025281522,44.42753644286778,39.870813744035374,43.021980126912624,46.44282013245963,47.55288416188616,50.99772898490186,51.41379998228374,55.574445078301,53.36199829240013,49.340452402664695,53.95566775200616,55.326251139303615,52.209419785611026,52.42681291957344,58.115721143309166,56.5384364540169,52.29419068841886,55.54815860472367,59.72749635490405,57.29097260366953,54.054454044230944,49.397803101457654,52.917198775009936,48.53030684935347,47.79297749057007,43.24389624651349,43.17611706475496,38.62547031732028,39.26087597758172,42.1890894831864,45.71028108223628,46.85170790656596,47.52747046857654,44.10862449583806,46.92385823368266,42.605936396626966,40.22338266433153,42.48893439798549,42.72436949445224,40.94087478167525,37.94697422452065,37.65364019720569,36.11949266647318,33.623715690926225,32.42868406661324,33.47981853087091,32.2389459887796,31.579735459684947,31.63425071613615,32.72815142325515],[29.760869898154624,32.39764169984649,36.637542955389144,34.16521678691907,39.30618380618531,34.32930183867296,35.861569474891745,36.76841236381429,33.24496973469935,35.20365174250452,34.543537962784505,36.09564599217151,39.56188183447729,36.4398298086493,39.121299975050555,42.14311360869573,42.981451907788035,46.01890117303547,48.559929091849014,52.11953713068587,54.771465316632,59.327478102739306,59.49022780899408,59.44005679268483,57.90430754543802,53.30670789914315,52.371020949358666,48.3505469739871,47.853176428503595,46.88105640382722,45.986095370834335,46.865030496684774,47.81093756280799,51.561392582956714,51.75520973703258,51.22441101917988,51.588924649571545,53.69435669447141,54.824405402994486,61.17417539152677,58.47302890335961,57.40644129136519,61.68277278661461,62.659927663744604,63.753370418845094,63.92837412337229,68.0132113505543,67.06051798664923,64.21350767417098,69.05707405535765,71.27241905611204,71.87433371148894,72.5369470366026,66.20995130406818,68.97095522343365,71.72893093305471,68.41375710343115,65.23295970035814,68.7136432528429,70.70270861509654,65.3461374074449,64.8719323662324,61.946926518362616,63.52428110157523,62.424106914990816,58.95361018681819,54.56290913133262,51.103064646652165,47.79535380778923,44.126935317780266,43.20283804196102,43.04886988598684,45.283234310591176,49.957923801875594,49.785020689871125,55.05148488681197,56.59760500479775,58.205515362115456,59.136017804987006,62.012678608367295,60.69210897670062,62.283189070255965,59.95472160195329,62.02184721284887,59.871066516798166,56.893381288521724,57.46028541496142,56.681111374642754,55.397983742411654,55.8265782399485,52.56918761749213,52.9965810930571,49.15888404871941,47.06276565291984,43.49903197104497,41.10418440443541,38.200880111062745,42.279985575398086,40.863880758621626,41.63389947367796,46.17700963790372,46.98617953222464,50.323661998849495,50.02697055363984,55.052203020397826,51.34822375826398,54.12657501873153,54.67709307922915,50.71705894326442,49.25390362262325,44.910041061471496,45.47167024045529,41.01154030420169,42.76529166015724,40.86324920434653,42.11039183939735,43.9022539238964,45.291167222681736,46.69791327990977,44.14735280312361,41.31384813341343,39.07543446218877,39.32569335995271,38.49565753505178,37.14204050390805,41.63345207471415,40.83794761701087,45.128932851004514,47.90543625618132,52.00770244005376,52.917270992806586,56.87925864182833,58.11691916426164,57.59032051000935,54.767367358406574,50.46859478230559,49.619763020460454,47.933304892573496,46.105557938710206,47.99526946873733,49.170159307749216,53.14067341183736,50.81299740428536,48.927189980442364,51.86385947326204,49.13943209657844,46.896255648987314,45.17032609973919,45.225871251868455,41.120031869177474,42.263740950283776,38.44534397478323,41.03433832750184,36.79039567623879,38.345646371667044,41.65640650407195,41.662196692752595,44.44133951780955,45.43329057576349,47.879632132681216,49.749114520532224,50.95891220976251,51.0704741238406,55.07508673304742,57.18151704608616,55.62345860220827,58.35079632433992,60.36829176835682,57.93790408133419,54.29002977457739,54.41798297872205,52.138610470675786,54.92208758893055,54.97545030045271,54.67088015547047,54.560214051539475,51.638823026401376,56.51368464567788,57.74659413083743,59.06525223720967,58.93128147466634,55.32149313181301,60.57714591217642,63.52627941983195,61.00742892905955,63.440275340469796,61.57714299744587,66.64393087940068,64.21062559407237,66.73646180136973,67.32137293495094,64.2196582820832,63.73198011150576,61.54549619187308,61.78240142413333,61.93206257856983,57.13149419129706,57.68569821453659,54.60007683113245,52.446938334395526,53.88245537892138,51.17210049450572,48.38125639408201,49.30981712935045,49.998037928805026,45.485456727766774,44.12232438152284,46.577478735838646,45.778129784217356,40.61412389634882,41.47134972881136,42.35297223717807,38.564791744974116,36.64945913708747,39.526152908724214,41.6066897443214,44.30042434810021,47.86063536493972,48.46572199160038,49.850275185116345,55.196774876849304,56.160666763278954,60.056245623720706,60.58103935444744,60.84434710496508,63.13016082278468,61.06010319577054,65.8106393946227,64.6158792340177,59.70319942940751,62.862723184112255,66.71990187204412,63.08519714237295,61.26162788256921,64.87287679520014,65.0196068355326,60.61080331603693,60.38603899171952,56.583594966784275,58.291336901588494,60.50968780962746,58.088009715857964,59.1629090641774,59.66261940174621,57.181373195543365,55.01986956922727,54.64320342963414,53.568467058929926,50.249154360398904,49.355577858531085,48.61271058645843,45.663325464433065,44.32002369644643,47.766680731667314,45.72070674278467,41.17687112161402,44.06955504421044,47.36223085602005,48.555916382706876,52.17503904385068,52.898866232271686,56.939957950717506,54.41113940025274,50.61392936722781,55.3987015942068,56.47150730642046,53.288041669182896,53.83752774567901,59.38747050215212,57.493422693733734,53.43787862389103,56.95027481867321,60.867806396558954,58.20309686436131,55.085274176723345,50.468133158073485,53.71169549382226,49.294385786729706,48.36681525230575,44.08200604320516,44.29048587315836,39.91990018824758,40.39315567694047,43.51116401161129,46.94282927827459,48.37439280449802,49.12742853801726,46.09973533586749,49.131292973728,45.0393826848278,42.41725041901424,44.87497100453749,44.91764335155256,43.46067221390127,40.400676460825444,39.688764261033015,38.29322308489724,36.18731932904995,34.4791024135263,35.244897364964864,34.207128079468,33.723933232161265,33.9677044005574,34.96721409655131],[28.64884518852909,30.937627070289437,34.98843689104067,32.01102324162976,37.283287360693606,32.910540788086585,34.42104568168448,35.898673962055305,32.3437705035656,33.96883466737205,33.67396129227116,35.74325558306239,38.57879903391234,35.14670899339057,38.26583680486079,41.31481844607658,41.60602506138843,44.66048965446571,46.78062306940907,50.51227131393823,53.01065635382965,57.5655207274005,57.5393938047274,57.20095938907312,55.77896344167013,51.196685163842886,50.397446080234324,46.50443516086088,46.441635784102544,45.86370794877058,45.295595353612946,46.41032503034299,47.73498650261032,51.35038658490821,51.22524053238507,50.286467118803124,50.75692112304912,52.31567394482593,53.195132215975626,59.61340221074823,56.52276598641885,55.5924494176151,59.93754429947528,60.63361780542178,61.45509843049824,61.43197591159574,65.52347350318449,64.87407384692534,61.97920542556799,66.66439005109669,69.14814955127271,69.8377127762471,70.6961047780641,64.40524176742422,67.43707656475786,70.15795307933959,66.6568617703473,63.72102010851311,67.39562533332764,69.10073415102202,63.78586673327307,63.62500427471563,60.927850991851464,62.23714720270036,60.91231327705755,57.59280607353958,53.08173237958485,49.84071466006926,46.25089775835764,42.8742083264104,41.66303118253367,41.601637121673214,44.18197474990593,48.70624942444079,48.85458377007544,54.355484201588695,55.68760753999049,57.66508270381403,58.40100255437789,61.06006968645725,59.86316930362295,61.17404764276147,59.092110326693295,60.88323222339318,58.445464648452926,55.706091706484166,56.23722622234547,55.903254598357236,54.422599831294065,55.37775204123155,51.99346200572247,52.630135743226,48.87216592472757,46.97116195570747,43.1882737584587,41.06506255000903,37.87486839401482,42.2395179597283,40.821720960148724,42.080327132228696,46.1143030592512,46.92701413377693,49.89735901149535,49.48889798695991,54.18458577184267,50.32209330419238,53.20012279749856,53.4193351736246,49.39697311758954,48.23886687501005,43.68464740921194,44.086208465721974,39.63887405569416,40.98832918948553,39.14829398285124,39.98637183525715,41.8646338020449,42.83577101198098,44.456900776959436,42.312101459022585,39.25714557425384,37.13002365215965,36.9153016875381,36.277569383088,35.17424635749724,39.5131605809995,39.10652568270011,43.328733586544985,46.20181647480367,50.46582057252063,51.02212583173388,55.17473634086182,56.18426385308715,56.01151126304129,52.77546226918161,48.453622312795225,47.27524699294899,45.48569864571536,43.458702262935496,45.55618185506891,46.35036671437205,50.44748976599303,48.399513012197694,46.64492980444938,49.791382860275206,47.415689618107265,45.064728253859485,43.728187318635065,43.96055528297891,40.05795114630846,41.53411253298245,38.11152270366164,41.16546080188985,37.442726600586184,38.88077451387536,41.820925514370714,41.371773394781655,44.00343707907754,44.73763381856728,46.90480245330729,48.24728105368171,49.500884240623535,49.08057310480095,53.263002538299624,55.02535433211879,53.068577204364026,55.921801878730946,57.65744958832442,55.24740057520879,51.59192338577434,51.97702217222614,49.81803827646815,52.94343367431898,53.307533366267414,53.285068068837,53.531261469625186,50.72377822306979,55.821349215911525,56.62384616745358,57.9849020426823,57.38170692568624,53.9700941866273,59.006659899797256,61.78025691028379,59.12495760802096,61.57282571937103,59.72501647164652,64.61941176218188,61.83810994542104,64.44641406376914,64.9179356454851,61.990933737261294,61.421577930924556,59.29448853611106,59.63264991025166,59.78933063771621,54.97837533605518,55.768783614805244,52.697645854457605,50.867685166455686,52.44728656678779,50.052459972812365,47.017462509960204,47.72828252143805,48.80335837777235,44.361623255183275,42.406923674292614,45.14842345677871,44.93682760183943,39.42023606526703,40.076539470125304,41.33577963679051,37.76247588341588,35.33395032901647,38.20770971603696,39.96397925836111,43.16131744851947,45.98882987180922,46.892861969247576,48.60602515629109,53.8951993255568,55.18641455728509,58.921802058079656,59.698085286046265,59.84590209261418,62.22864117639058,60.14742173609762,64.75739785019687,63.38207867632857,58.31537698995622,61.55186081096002,65.20225723623597,61.364749927887516,59.542890905746916,63.07420526555166,62.96355925530168,58.52952224561848,58.29723102871562,54.73351844586016,56.7841543049246,59.17179473685519,57.02117120848785,58.38649022364627,59.235276720615786,56.744588173722285,54.236762361835574,54.183019954773755,53.416655672858084,49.81275889096645,48.76605440184597,48.473616110340096,45.626549200714265,43.884981034331986,47.51424299316787,45.81427020766822,41.11246333741399,43.69999087615028,47.15804747368493,47.994790092006085,51.672611549237345,52.25505253534911,56.21059305287865,53.6174729487619,49.54095024015711,54.26791729016333,55.21694519534301,51.907262741035126,52.24643909290064,57.81914346757403,55.74679439398213,51.49865610600904,54.965217830958,58.8833658617844,56.04863564400769,52.79847514298409,48.11571516359938,51.13287552421084,46.57665920073097,46.04341923129868,41.66586597997776,42.23936700284174,37.957387369387334,37.901860355842125,41.02095007103122,44.29128311577781,45.8436194318165,47.00447102781758,44.05057272836584,47.287798804034935,43.181659313633745,40.93223527225827,43.860043301860536,44.19983935187129,42.95552862986162,39.43253167037222,38.865699248317256,37.95300056153305,35.42654662786598,33.471555622950746,34.77699950685061,34.235415552403076,33.79058523499291,34.16661850844726,35.41455675564466],[25.161779451056663,27.289024866205153,31.2962827944426,28.23280489380063,33.62894003701629,29.562539149326913,31.25508367292026,33.05121982319887,29.70534880700684,31.420827939350048,31.510737964422397,33.72493193112885,36.26989227881288,32.91363140444869,36.42058207861191,39.344057547552154,39.35657312951204,42.63956362173878,44.725307616889225,48.37667444132505,50.9709307903417,55.436231713563345,55.47967597047322,54.988956393926685,53.43197051871903,48.87130245193374,47.919380954388615,44.03161652768588,44.17319465003309,43.6575229120515,43.62421831982176,44.52935354508931,46.19353614489406,49.87857949170293,49.42951048056354,48.32736635630021,48.59546572016019,49.97135945078897,50.64535032273924,57.03043068467498,53.8423584206477,53.1989608111892,57.583007405017376,58.08571353383004,58.87815012283637,58.65679143267766,62.79902912637934,62.24996963158506,59.154397666916196,63.742275095460755,66.37941807625623,67.05941137461396,68.06367286875344,61.74823757866724,64.8701419217745,67.73053247492685,64.23724489957628,61.36979861067752,65.18950067291847,66.87027787648722,61.675378164415434,61.78027543125327,59.226289015852345,60.58563672472209,59.03365647690406,55.67126852101976,51.33166051231326,48.10253231481784,44.543335848175154,41.288643074846284,40.069994675329845,40.347464777276194,42.932697474440836,47.36725191910298,47.42979631904119,53.142151106806956,54.10936089238975,56.24729534411667,56.70417157437514,59.141504751115555,57.80672733932621,58.85767605581484,56.723624537468844,58.282233430958094,55.7541541613291,53.24023293215974,53.97610240133949,53.81803518358751,52.50098111709524,53.79693143473352,50.51015155096349,51.48804280057681,47.712062859796205,45.759105213248574,41.744174990074924,39.92124473463733,36.45665402061948,40.68747665824591,39.055598905666855,40.36773179942242,44.177901818666314,44.688220515288194,47.58394791107899,46.87083926479323,51.34207802114665,47.313799376573705,50.116412990608254,50.129182417737084,46.028698825481094,45.08362746002106,40.43961481731369,40.95704118906446,36.606585865046526,37.90026542150722,36.36180166735474,37.08292127981747,39.21806567212895,40.081745863886084,42.128498214531746,40.07726654499011,36.92701150638099,34.66030399653196,34.079630503492,33.2914147253125,32.070788460318056,36.20219165356234,35.69189508386919,39.95287133123608,42.769947896680144,47.15923233637086,47.46805137948467,51.67294931579211,52.69212882668916,52.71287234808333,49.352472725514616,45.08528800723001,43.6649252129145,42.02993517737069,40.08427662953991,42.36975703493201,43.23797129460802,47.48683455907128,45.62318167988449,43.76482372188032,46.99324101021275,44.76550261077582,42.27085962335956,41.01811361934984,41.14984841487122,37.30896777455365,38.76414314940627,35.62599040953946,38.84034546745748,35.45786291703102,37.04258934491342,39.74281377151392,39.12796116070564,41.5097843521618,42.31344558689853,44.1128291208998,45.2808622889785,46.787029465239904,46.09766595779629,50.39050726068046,51.892814680689355,49.777640341621336,52.52511842783884,54.16405808591384,51.6409144636554,48.06068718194996,48.48476133552556,46.48077859995747,49.76275645852826,50.277779567626254,50.45302113617108,50.814356713551454,48.222838118270076,53.36309610154544,53.97824811418891,55.22871834864367,54.40744309085763,50.93125161883498,55.83329729161691,58.543378950261484,55.90372619521591,58.53627463439693,56.85451795574239,61.65855633064368,58.77668940335721,61.27168291971461,61.601175805477375,58.693263676210606,57.96066798131771,55.7709354590539,56.0579309971843,56.120505701490885,51.2873107150889,52.085400015427766,48.95983044872661,47.28061985435072,48.83168477059956,46.59870530596896,43.492281759139594,44.03994996346612,45.24674429749015,40.868191491155194,38.65514051847547,41.47438510929187,41.5251616401408,35.86500151437845,36.41648324152774,37.843790767433205,34.38626655002054,31.718828538394515,34.60998277662153,36.21466629554059,39.64616315420824,42.1745620905664,43.158657160126076,45.01138564559679,50.27114842871555,51.70197868832796,55.3441955566272,56.23525846153716,56.32859704490804,58.753769612602994,56.69783235852135,61.23380081892085,59.766442899176525,54.65863486225339,57.94865258604504,61.49471316781222,57.583607440994065,55.79432966751148,59.324452646443085,59.09425381667889,54.64772591273763,54.49100647485654,50.95967438607227,53.197936973429144,55.6158657968924,53.54272523406932,55.074065593703374,56.066640896816786,53.63979843029588,50.935589190941485,50.98406960930451,50.42628191057244,46.70934186534023,45.516762462916624,45.45504356511048,42.6922401767709,40.70866255533741,44.399106666090255,42.90878042889098,38.1357659077965,40.52794790499345,44.06691688006134,44.706439629064825,48.40289773940016,48.92504758399669,52.822820456996396,50.19876044102171,46.0035822317781,50.70448543942477,51.5913671679316,48.23564480090308,48.50263709659222,54.070755764373224,51.942714803781726,47.63255068133451,51.091420453767135,55.00108646534087,52.12788754805384,48.84355439420135,44.14574661923727,47.140560353649875,42.562279955266916,42.12340386140541,37.68408625209932,38.34361833021355,34.09852490001597,33.903509412954925,37.02620646565488,40.261553297838375,41.858518915868764,43.117082748696845,40.25755655154533,43.60414570776875,39.583578929474896,37.38054662151964,40.54894518724814,40.97503757183573,39.96444653092883,36.192938358222875,35.574136711943304,34.97304662527814,32.36241700700296,30.126476757972977,31.65190145200597,31.45598474171957,31.139879682762256,31.699618065934818,33.13077119126446],[20.54155965575079,22.866355785065938,27.099531777138953,24.519645599484374,30.041475864119306,25.83491510016761,27.93642999233506,29.66908215929801,26.757703346947807,29.03502877107616,29.411761260453908,31.320162993097888,34.0389894453747,31.15528083882444,34.862291353548,37.541682250550664,37.653136380382186,41.3050243017163,43.7602992384225,47.0991746613448,50.00403145255288,54.318742400222455,54.662442172249506,54.21042920502747,52.32143032153534,47.78912337160811,46.44350558045196,42.43759101687221,42.47280009762202,41.64790132324774,42.1900794550581,42.49035112282318,44.34669556595576,48.290521773562176,47.617734940409065,46.6593068338195,46.468144367615125,48.1015967987331,48.687579437700805,54.94509810434501,51.992449916191134,51.69497990136562,56.070607221420886,56.53342384778931,57.54546177034299,57.19082710697165,61.4114524190245,60.726580444536594,57.339804495933514,61.91731864758014,64.56022011386584,65.09014902925983,66.1665431005892,59.76326847675702,62.75135577976789,65.89416568467013,62.605610081962666,59.59201367543638,63.46512410689866,65.40594176749084,60.37352979990288,60.602785867326794,58.06434346279412,59.76340452517412,58.07136039339123,54.49010525632526,50.5551666746203,47.132226504243334,43.91122260510083,40.56756007709855,39.62616518496948,40.34737712347604,42.59971654110388,47.03329971200447,46.640401633466375,52.46404784512262,53.043709744873574,55.07749193843669,55.26584909184965,57.55126224406071,55.85547646181876,56.762734798080174,54.274187882674866,55.71528381955419,53.33440332108765,50.958344724606306,52.08615252719126,51.767795001594024,50.933459741786244,52.264912633752516,49.270287239832996,50.60165556294601,46.71955223372181,44.48833499825665,40.3050037837255,38.71587915398027,35.075862146518475,38.784623154707354,36.7758445310898,37.66414905436111,41.62494683816557,41.57584802269968,44.74722016237953,43.59487109509264,48.02916360122267,43.856936736920616,46.400644169674976,46.393797636222935,42.203441744225294,41.31553061699529,36.72777415082168,37.668689866800726,33.476816136751914,35.13425086425696,34.079230800685686,35.048993673736405,37.53811876870928,38.66406622724932,41.194035169821674,38.88252848254338,35.8127479046222,33.19630721126912,32.49614760061131,31.2283513384795,29.505414734444766,33.41696695058398,32.22869139205941,36.671015612757245,39.26862849967124,43.72676605412319,43.964595178047794,48.05136132378154,49.35708107477766,49.34705890303057,46.216106597754944,42.077077720599334,40.56908435798529,39.35304282993029,37.78570429885709,40.17370354905057,41.58818284596866,45.946729177979435,44.10591337862414,41.936046538255034,45.07384492320704,42.7326775466004,40.101951072097485,38.57422526396365,38.32368132900112,34.36238124232123,35.391982059255426,32.33250053849423,35.33286602432599,31.971511608240736,33.9842448416572,36.66930521370748,36.25135253302834,38.33994948881139,39.56575104875665,40.998971181355046,42.43586296807589,44.355274869782555,43.767949188323435,48.063003752186134,49.477343061803914,47.514353941611425,49.92755766939359,51.69641682388108,48.94651160304069,45.51671970654173,45.725524596764274,43.87570991680139,47.06372848147705,47.506210288806685,47.731762066842165,47.9162284352338,45.58940194026747,50.57295188389213,51.31535306071921,52.32279426805744,51.610072064384475,47.793595101023584,52.69802146931537,55.48702628424492,53.027095759725796,55.97505943487045,54.57227317735553,59.3996440370623,56.700771865327724,58.91838400807725,59.11614696205592,56.06205107614997,55.113134430237835,52.739225390758854,52.81233473310524,52.682297488504055,47.813125515347174,48.350825139313514,45.08466398307841,43.32450151013374,44.62855399855291,42.33243797223664,39.37653749104195,39.83522454630772,40.825826816851446,36.470122968881626,34.45236080530097,37.05146098227301,36.905180939637255,31.35517482957893,31.920310034718558,33.18888505158901,29.688284270037165,27.158153334335886,30.051226144217654,31.80842188537919,35.042998319219514,37.916286515614814,38.73656166188215,40.44813249306926,45.74063707303051,47.0905187778442,50.76366143352279,51.57566956924604,51.73423559915795,54.17016864721088,52.19293922256926,56.76931418021331,55.29770542881136,50.30110355086651,53.63372180725459,57.211654927079074,53.37799419814239,51.66913387204928,55.30789367091396,55.11742448016505,50.669746595001314,50.70352108176472,46.939744002861445,49.170553443631114,51.44256766476372,49.18513293268493,50.71600500617153,51.56433752828771,49.28370580110934,46.59541250438662,46.427415837783826,45.91905932708516,42.31593093532078,40.983353873071245,40.816664997190344,38.0801531974032,36.07503980078627,39.663302359854406,38.14474784523392,33.380826648566234,35.74900124577283,39.26214058216852,39.956909906051166,43.66785075606547,44.28130864180724,48.17300563691605,45.51282012465537,41.42465298325436,46.18798509411905,47.06617405372422,43.74925445810828,44.17069181597017,49.7062522486174,47.63102710564137,43.44313469375474,46.98366485599863,50.849702451505436,48.06534023891432,44.878375191349505,40.22960100102367,43.39468347298611,38.938631254821765,38.169941310439924,33.79519375481385,34.20800113313979,29.932479084068472,30.103550608349643,33.26896458315456,36.626685619322366,38.193954007473856,39.154729967641714,36.42572114161781,39.760762982477324,35.92949239026992,33.34382019505508,36.44303779821812,36.652320162176444,35.83490515351729,32.144323700186916,31.198230537928723,30.599303172090828,28.363447647420273,25.827259597169842,27.090403075224664,26.98671336271691,26.825089788318202,27.581343840442152,29.01276328815562],[21.584456596598976,23.660047477971094,27.42067852961064,24.40309776091536,29.411234406236787,24.703340602501676,26.155321216414634,27.57541883191002,24.111762276829054,25.997898359328833,25.935230915592047,27.93683657128031,30.758714950626437,27.636287430147323,31.0247979258375,33.8753759881139,34.184771100848046,37.599444354677665,40.10138896902536,43.5285520497564,46.35993457757162,50.774824834342986,51.07935402221194,50.81895598522777,49.027414552214125,44.45137449758437,43.255718166241444,39.22410333543236,39.04826160443647,38.24156258081338,38.25478529105766,38.88795775421357,40.51691279799688,44.33314705962335,43.89296689618104,42.988203598317206,43.09015638495914,44.80722068799726,45.62719070573848,51.96377527440478,49.092358461710795,48.426525322529415,52.772961112458106,53.47255811150232,54.5510722775802,54.47782102319077,58.64299268540197,57.78374026526174,54.66468390335292,59.40636423045108,61.81005095056286,62.37396269004867,63.24408690413647,56.86924673390502,59.781691229652054,62.73157643653838,59.405865299636424,56.32464169481354,60.059517900172,62.00062050018514,56.8269885227535,56.81350255510401,54.15493097031183,55.80765705951564,54.299694490977075,50.74644415071583,46.65028620307973,43.19784148109622,39.9473659497419,36.478492658815426,35.55842225141012,36.084724086444375,38.30086317843723,42.81959939726692,42.473963070106265,48.189520709030774,49.025501249926435,50.989942403107506,51.39519405389676,53.86985943002008,52.3665217750066,53.52366221308555,51.209382351739784,52.90912273910511,50.559677557587314,47.90295700538598,48.73196829210381,48.32204862198678,47.22755127518398,48.34738881518638,45.21360430757655,46.31670394578765,42.452854384053026,40.31289946850421,36.25335489231167,34.47751651882472,30.970351378705356,34.9680719188673,33.239393718764894,34.448364394598485,38.34407205423953,38.86433555721774,41.85355402838439,41.24425745811653,45.90360878299634,42.016068482040374,44.89902606564696,45.18327121363424,41.208243079442106,39.95254835636146,35.42292713659012,35.83499866544011,31.39791881446736,32.94610759813284,31.309012944818804,32.40376140762246,34.520773336505556,35.83224588501126,37.84899229964395,35.372637682982806,32.39968878776094,29.91414519002581,29.726319145526464,28.68934949316796,27.240782888242233,31.601528154999222,30.97738193353475,35.217592135012616,38.076439147056256,42.266522382784224,43.01629207578205,47.093417404029836,48.16738904004089,47.82977450576556,44.77816672432988,40.470960409173216,39.519826163735125,37.8178821447103,36.03419671974054,38.04351682782573,39.37592966096173,43.489899299550146,41.327291866307576,39.284228381752726,42.314976754862016,39.78075408071138,37.3462773118701,35.784619345596845,35.81670303822181,31.847893297193423,33.23180920642981,29.89559765448754,33.07164069520718,29.66440067154449,31.135970646950792,33.86375195301175,33.32895271314288,35.803741981104594,36.66953852881018,38.66065736820744,40.13761648446579,41.58708402471405,41.32204100647366,45.47353094118644,47.299575722684516,45.612282886312514,48.271595732704185,50.25157939128037,47.7919260585493,44.15708116581289,44.29968333732032,42.089713848287914,45.02625917678957,45.27036993579225,45.2239812717698,45.377995918475044,42.70229948103152,47.75518284765225,48.58872349125415,49.83571279823396,49.318772261503035,45.7577661690515,50.84860554438265,53.69531716173693,51.127199744737446,53.693480237275715,51.986739229584146,56.94997646179087,54.40288476159144,56.82516973263465,57.30254095061349,54.223410494479324,53.65071211801815,51.46844675185954,51.751022164277856,51.96120195884208,47.17439977565582,47.909956793057866,44.95945640519927,42.90751854491123,44.67417104075938,42.1340950288367,39.06215467644915,40.11344691044448,41.231973488433304,36.66150840953709,34.975484540883286,37.92540665269598,37.62672329240959,32.09069255521978,33.13056798771708,34.59557770437225,30.781219645028223,28.53989754496376,32.00349537994829,33.599103050792934,37.047066411423366,39.86965519538984,40.313133320522645,42.17730305556379,47.43014166720615,49.015052261018575,52.4179990894393,52.89686746069464,52.7456172359895,54.906378204894324,52.56178416187153,57.1943148084094,56.084866356829714,50.8434677206183,53.88098557853552,57.730970554145024,54.01219395331291,51.97457740351596,55.423471423665696,55.661775090865696,51.27718625318621,50.691763102917186,47.14430994207406,48.84620580751594,51.28123807195064,49.22076958480271,50.44738253196501,51.438898949852955,48.751466255456926,46.2763384443641,46.49471510106341,45.63897702432475,41.86937830629637,41.06275467346191,40.96307843191582,38.089069295291985,36.38854411147609,40.333541141899985,38.7958631852195,34.05237984699916,36.8704735578942,40.50490047647464,41.18978417819621,44.65672192967841,44.887929586400844,48.96793494667576,46.73970684544034,42.40778551630522,46.953346820851884,48.25549065841581,45.04667222811954,45.04416507487842,50.77108146589446,49.133369075366915,44.71343279748784,47.90341300521698,52.12636440642382,49.64950563198716,46.31090558251772,41.6106228877349,45.129882397206856,40.71271878490339,40.208774225439605,35.50134388822987,35.52722414547029,30.984428665468837,31.3961087008201,34.286370883990415,37.77006378256253,38.924433945367646,39.782855255003305,36.4391272799221,39.44790161380117,35.2097891835505,32.97288333228969,35.73106304245667,36.20139089112626,34.80767193122532,31.261384841310516,30.968024382181333,30.03736884995323,27.209938199601496,25.543987504543193,27.166005296296085,26.610594076572262,26.133937357614574,26.557228613701046,28.06455825136477],[23.52123928546373,25.988381061226402,29.90033575143491,27.453628575258364,32.20005427929425,26.809205668430298,28.170647173168245,28.841709229878415,25.33456102893333,27.51001388266894,26.895802587691268,28.29216541607907,31.87876260621816,29.05814660270623,31.82781871650924,34.69426629343135,35.662278207405386,38.95982090493168,41.879793662577704,45.15697760069806,48.095237042488925,52.53127730411246,52.99154869503069,53.06064353072283,51.21417717956732,46.632886416585755,45.36842091512446,41.22995252289136,40.54923075818661,39.331382848446204,38.82412143076155,39.29711912383418,40.43515379667931,44.366785114961694,44.346587266240206,43.89983870803953,43.97161784107388,46.286147226379235,47.4255771244552,53.6903071580251,51.23632248028539,50.33368890347688,54.58869339215081,55.625565228549156,56.96779175239922,57.15577347753755,61.284811817686496,60.10486933344331,57.114779476608284,62.026220672931046,64.11803741555255,64.5917939469492,65.22465381080707,58.83664141154659,61.44770283351416,64.37940926115715,61.23426688426849,57.89586612590688,61.39168797901395,63.61475952193212,58.368341569112125,57.966684763285066,55.048055554672565,56.93865268756837,55.72333141434747,52.04452274017779,48.01414075348608,44.350418532293006,41.37254062957856,37.58101466173443,36.9507283764356,37.2692799161626,39.13912605634602,43.832308454823306,43.19737814593912,48.621472943517404,49.776582418271246,51.333053424093436,52.015038912676026,54.77089620063146,53.1974320984825,54.717565661108736,52.18940087612497,54.23557835488507,52.201512445859045,49.23538069982783,50.02079684609999,49.118054079261654,48.15845070060306,48.651799461766046,45.608527879419924,46.40361419347651,42.46083551058607,40.13887274376202,36.36280317566881,34.21062867506311,31.072933045494427,34.84010347603395,33.186786988310125,33.89571466774941,38.388607822655615,39.02922709781995,42.40331486062444,42.031525802392444,47.093303469280855,43.44193090271408,46.25935509689706,46.948547269111096,43.08889314371089,41.447668097132976,37.18408426460653,37.69025479963521,33.226521003640535,35.186113296088195,33.367468401387924,34.9087599753311,36.8133801335383,38.566916893902246,40.19212127115019,37.29557772556135,34.598261800608924,32.07955449876942,32.511621508836946,31.36555947487388,29.74185961130511,34.29415099728485,33.34502121485964,37.594038928720735,40.365644386156056,44.317004108871785,45.5133838111299,49.36632840643533,50.64115708287296,49.885406416804926,47.29291492648792,43.009285268818715,42.4891498528362,40.82955440509037,39.21557630010403,40.92633420065219,42.580283946955824,46.483191371667225,43.990834176794145,41.877790641071506,44.65311261602789,41.73448181597292,39.478338362780754,37.50921638647442,37.410247541550284,33.233841410368775,34.29251778442533,30.43925900919614,33.08794864266798,29.00410596753896,30.52975581469587,33.73602367245754,33.7183701767214,36.44636897430195,37.53320855885705,39.95035978828414,42.00632553361639,43.29978812814848,43.663209553475156,47.57587638896279,49.83103485391321,48.5969988005515,51.16703775509284,53.44326938264916,51.0280121526905,47.389576155954764,47.2714846553805,44.89420328032129,47.41936383088179,47.30052122037992,46.90158529338696,46.66693422680831,43.799208027325406,48.61500722804828,49.93012013535696,51.17905260962412,51.197394361486666,47.490201614971774,52.82792275661719,55.85653971836888,53.41924253807571,55.883679923995096,54.10201278280985,59.24926961876583,57.07815106545153,59.45959609767309,60.100128915361935,56.86064089458225,56.43666172610687,54.2368801742078,54.44817104803153,54.69767791493545,49.95405901113014,50.46737890749968,47.54994803025947,45.13479081069273,46.78501357233744,43.88312929369474,41.08252205358812,42.42201331782011,43.1229064501947,38.470290763423826,37.477771403402265,40.118769522743364,39.15499181251961,34.03825330748911,35.324943409566174,36.36602250297367,32.30047546582555,30.675547441131844,34.13414990852088,36.07922283047476,38.96185142866577,42.56062766024295,42.68229354875445,44.19135216069237,49.48895858687696,50.753767751958556,54.30452383496766,54.48556766274092,54.44041972988227,56.477254722810684,54.114257706478405,58.89804061232322,58.010209182519745,52.926879502441054,55.849650438721,59.93275149965559,56.443085675751576,54.38371738255019,57.88444949758592,58.423386163314035,54.086615879265246,53.458021619876675,49.700416100423155,50.98184638479401,53.2445048207358,50.91807787211458,51.793459380063226,52.41388327664156,49.69066747345201,47.63088583910983,47.52763540868457,46.28419572533037,42.82190212984745,42.24601280693095,41.63606492768423,38.62461333583181,37.4185395389345,41.18475983379735,39.242969344022455,34.67468182533737,37.88600451785757,41.34293601943962,42.43009119853712,45.81559830425591,46.1757330841966,50.36087453467766,48.23471116663126,44.20108406702213,48.785943225827374,50.244936031276545,47.18415461380827,47.38358794047579,53.08117758159404,51.653436619627925,47.43897557475881,50.6470370258601,54.87022860061762,52.58512566374286,49.38743454374625,44.77503963815714,48.50050678177406,44.23964255573283,43.34996793044967,38.77393723532536,38.420511626005776,33.81055069004005,34.7730005382241,37.632368057148625,41.25210078828889,42.26185912113913,42.69244694117278,39.25128983048122,41.98865168511358,37.751429425566336,35.16082243961932,37.3332824816236,37.48535052318474,35.7658006278141,32.80565052405827,32.41444751476355,30.859392599564952,28.48340109135388,27.235597126682183,28.21637660074457,26.989462165049364,26.39472226618163,26.577490002485,27.759903035721518],[26.802130431536952,28.831659668429538,32.29360574137946,29.098123760756934,33.590743120507845,28.489313222264183,29.254247678263706,30.143059255401614,26.121463642822587,27.44245689531674,26.58544581895754,28.51977800337735,31.61806583546788,28.193492795955326,30.80555677422439,33.932912662988656,34.6462756766968,37.50918159854543,39.95703765663237,43.57422810898128,46.15469608572168,50.735871615663775,50.86935975980151,50.88661869936738,49.390138358055445,44.79296940436279,43.96528128874063,39.988525666416336,39.4888020282226,38.720336248821766,37.64736733819049,38.887828454756416,39.930192467106,43.48520338051165,43.60938748910157,42.885083783519825,43.514037945999114,45.39308513368851,46.59127340523313,52.98740788159179,50.232621989062885,48.954845661996366,53.2117593570579,54.267725266777425,55.35960790413802,55.69849162661048,59.732755213619996,58.698729154443974,56.042206596202924,60.95974586633707,63.040357947619114,63.67835206089301,64.24158174543518,57.97114107641022,60.75654794069464,63.35311694826058,59.96685345606274,56.82692459361861,60.28545210043437,62.17757813916047,56.77805124855042,56.29949175407558,53.42014512371542,54.90047756692495,53.79255456754323,50.37358380667791,45.915680341893705,42.502101062094916,39.13762862876622,35.50101411796013,34.54046622274691,34.44038896925222,36.693248368908826,41.34415867530501,41.239834203299345,46.595896940203446,48.087846687413005,49.85235408155208,50.762282712979975,53.61726058355575,52.48450665256289,54.09975947345743,52.058852604280474,54.17576216123192,51.920836833561935,48.84442592798221,49.16139235636535,48.55348542777155,47.00010153060995,47.60167064460462,44.21466236600401,44.700002610322784,40.913497377859706,38.978708137340746,35.33809092715845,33.04796294013821,30.031624180893314,34.474684072285044,33.301283949156534,34.76300839973507,38.76094284321777,40.11278382548669,42.951703887353794,43.120855964641095,48.098567073102096,44.63426856501714,47.825811220490216,48.486443393628704,44.77946741747827,43.10685165790878,38.756815135120235,38.63025975098744,33.99854976408104,35.40730722881044,33.0077751482756,34.20878239800851,35.68584916724003,37.13605546259259,38.22098451586484,35.63612030917661,32.8545548673487,30.751017003145016,31.314935518364873,30.737987277478553,29.756953933736344,34.5387477589058,34.53263476462957,38.48722552338742,41.558569047492064,45.395120258543955,46.68838199340375,50.6974687587298,51.54444217132303,50.83729671245608,47.92764246609764,43.48912438801688,43.12815201576179,40.91341194412242,38.8515461514096,40.39282503435089,41.438009042017384,45.17273584255583,42.63870201238966,40.88871716748835,43.75353230486987,41.006872867136835,38.9170464547698,37.34645549803192,37.76122978271724,33.83339680065679,35.53972023592267,31.788405011776522,34.88984512346161,31.161361347076145,31.985567265645567,34.94962775746291,34.474397056311766,37.49160008065256,37.930136911009974,40.71862607795146,42.304662561032,43.07569888737049,43.26304905497679,47.16232021075883,49.507132132409005,48.122155850579375,51.092626575882484,53.24160601557733,51.13925942033655,47.311280385342926,47.431991229911766,44.844883364225936,47.46501377971979,47.454219886873325,47.02772873351585,47.0888076192228,43.93330058384972,48.971552664570616,50.01390896884914,51.57346676842086,51.3768385261224,48.161275207919935,53.44565726902371,56.34501584113503,53.6719669670427,55.72017177731514,53.603189936765204,58.69904529726473,56.31650379345887,59.02944594692192,59.84445730241221,56.790182688947354,56.663959891334954,54.72028152476726,55.22782564457971,55.77243364587742,51.10364668776565,52.002142427417056,49.33896031556369,47.025041463350625,49.117710378042645,46.33310718862949,43.26182829470467,44.79243969441388,45.89971367610283,41.201020557671676,39.89112155586095,42.972050670183634,42.40716239681141,37.04247830377146,38.386846109081254,39.822249288787795,35.80025889552425,33.89118026435428,37.56370091224576,39.17177558991281,42.55196668795914,45.51877524528063,45.74640629235951,47.58909432237644,52.821838552107714,54.41320254875431,57.736603704089084,57.96024616662573,57.6740306337206,59.627738829010895,57.04911371597582,61.7449260231946,60.933497761011914,55.59270413684031,58.38690957143736,62.4586340311488,58.871094870000405,56.61248295534975,59.910562143526455,60.489028119939704,56.17008236203475,55.13156738381652,51.75522208239818,52.97677806961624,55.49475594637565,53.53260277624293,54.42190669555956,55.389619146067595,52.39197722061375,50.24140120687872,50.63288822202062,49.38098482901116,45.63340491708966,45.2986159067178,45.046064285709356,42.04284821823885,40.75671377270455,44.81756877156,43.0969080795824,38.47513073164121,41.67924930242661,45.28164511129508,46.124043097355354,49.420854383059435,49.47899294747055,53.6889811850207,51.742945372308625,47.39042067691347,51.80097913218955,53.38090569473345,50.276436976713505,50.080018408822816,55.88971519602095,54.52917944465555,50.033149106060485,53.01024322350613,57.422303276871865,55.12985076488669,51.73333131048372,47.028779801187866,50.69554578187311,46.29843385703982,45.924051089087314,41.10422726289589,40.935785113918925,36.282873713988785,36.83038193671052,39.551829321960625,43.06870486754266,43.97857707577935,44.76641179073922,41.02176612786118,43.723124450629236,39.19532990404974,37.23433742135769,39.55230792020868,40.13357824589246,38.17454488535243,34.98577839604634,35.17947440338819,33.797953557242906,30.704344513625756,29.87745825221421,31.49380725979867,30.358803125687523,29.568539943610563,29.54884805868487,30.891640749030604],[26.76959608565421,29.07725673180412,32.536520848885566,30.044675575654054,34.10820491482261,28.22772792399217,28.897317623910585,28.882382472018406,24.978855100985083,26.779589270214657,25.410383126499948,26.492398604592996,30.48613352472177,27.683224004163776,29.631394533539698,32.614015679477276,34.13289135275647,37.01963432254372,40.14111504829453,43.37362069035067,46.23409808575126,50.72336679171876,51.21017017775521,51.638429685910324,49.89719299832918,45.34283504948384,44.22629853839334,40.09596736826866,38.95296668018122,37.56739485372419,36.19123313264244,36.9444193790857,37.51868393090525,41.30606270747094,41.78728191926182,41.656480861577776,42.03199727881015,44.70277075679685,46.22549207664341,52.44208968722948,50.304531600018954,48.923363926081294,53.04397183142165,54.47307930739699,55.98984708753112,56.575970758107225,60.586401201729984,59.09891151110254,56.46888019765821,61.56868354487222,63.261519812820914,63.72788439818457,64.03487853753161,57.73576156790088,60.098258865295904,62.79035186379644,59.726241682998904,56.23212648406934,59.42485647784812,61.761919882927195,56.38425515109257,55.53088694413074,52.377602040441445,54.31737409400369,53.46562469479418,49.79830686351661,45.67930023783316,41.93308448048678,39.12068361044687,35.095941403946526,34.663578969421934,34.627483937981836,36.22222683495614,41.022647206606926,40.298856253448065,45.35761284120959,46.96856894512743,48.20785352191902,49.27615781787163,52.35636108483548,50.97443926536087,52.927181595681944,50.506526291194895,52.96602161402982,51.14471325807692,47.780843070066624,48.218301100681764,46.977593308402774,45.81771283134227,45.730692214533086,42.61871745780033,42.9618775502764,39.047525761146844,36.76388293724099,33.37828181703247,30.813128328395432,28.15511892828124,32.0281243401598,30.793667154041536,31.55747259821481,36.210628848506474,37.52561692863842,40.83691889922791,41.15983140666309,46.548068525324595,43.35876418532212,46.4186138159285,47.55343747102748,44.01554386311378,41.89642612859383,37.91163101315497,37.949523266413,33.3762548745738,35.35765259410225,32.941005447877835,34.76776207557931,36.137035735933445,38.23641089193695,39.107472238564924,35.90472979601776,33.53158528031305,31.226683863524496,32.46267848743867,31.53755737924309,30.16510809667672,35.048751807536604,34.50290630548034,38.44523347167063,41.34783040683624,44.86398296123594,46.70051388915326,50.38663857526302,51.51620281154524,50.28416188860963,48.00969041621864,43.661498629186696,43.83945694352755,41.79713074973887,40.095403597568335,41.28468936866848,42.96162707794655,46.45886103451767,43.55129511326166,41.57902577343265,44.07004813628284,40.83434472044336,38.91792734660281,36.76800437041961,36.89382605242371,32.73668486566044,33.954407632726586,29.692600763534546,32.14885655175018,27.79555663982946,28.685350392208974,32.109893452028,32.2526000969332,35.446010984107524,36.24063458832571,39.38782346718656,41.71484501296543,42.43582887837841,43.412750394136886,46.99635948813086,49.81294293637832,49.06137024585632,51.784287032143126,54.348857095910056,52.24900168810207,48.47961308049291,48.19539659786864,45.456964412719984,47.51585924928229,47.04137640929302,46.21412547440403,45.764327628556714,42.496008777840196,47.17894370507274,48.808163264817246,50.282211041040334,50.749780893956974,47.2839663751497,52.832359076896964,55.957925421581514,53.50817255080399,55.52427213894033,53.43309903598032,58.73598402123169,56.90390994730861,59.44010226070135,60.40989470319819,57.115637656020226,57.115765541114364,55.11328807407981,55.483686797291014,56.05380106299388,51.46436768011081,52.05496390154078,49.468991773559395,46.68942822834592,48.670684387790196,45.45474818598233,42.71860245286889,44.657296255193,45.29004590772347,40.51297751958753,40.08482347644696,42.844897147482676,41.52026919660636,36.69038470801107,38.41286124385599,39.43605845019314,35.12668708108906,33.982325946360454,37.788332936415486,39.69477332732529,42.50155998253244,46.27989745876681,45.9954813995086,47.4789033855197,52.70138972283497,54.02548523373772,57.373837148457596,57.161132470138384,56.89418220680561,58.62259550967175,55.95701279607338,60.802512517856485,60.33060456237012,55.15095691018123,57.73680514409751,62.1123876583417,58.84600057442172,56.51571252665901,59.83782488000728,60.86136884221547,56.636150947658095,55.46947993107264,51.860241326613895,52.49088718399921,54.79904384233873,52.56645016423981,53.00789576198495,53.58973003445378,50.51483946341728,48.86407361237145,48.97241474232493,47.26529920771147,43.848957880795815,43.857049413458334,43.102972087978614,39.97583512087904,39.27605068594846,43.19587793291288,41.11161857665291,36.7453296690134,40.41206013020426,43.83329006127426,45.0499756362644,48.144957420887366,48.22339778473693,52.554926161238335,50.86445345590363,46.7984406731321,51.151524918621035,53.01064073481189,50.131383897053986,50.05453428330568,55.83615049605316,54.862301832853476,50.57841419818373,53.47193764430949,57.94941352911028,56.003202126549006,52.76376428724867,48.18938914474597,52.224904843023786,48.08376723649484,47.275879364947215,42.54572001604551,41.77888357005064,37.02783890231333,38.33340914772396,40.92556740340877,44.633309838854345,45.253971526336024,45.441182019121534,41.51960584385506,43.81903976035784,39.32244111365816,36.960140912830056,38.527899425256656,38.776918456517926,36.43038257332597,33.95248540673642,34.11807952470553,32.05629904496525,29.436283264221416,29.190668423033923,30.178205676204094,28.320309416156288,27.395624699304726,27.109803018191045,28.142052774911694],[32.40968034043113,34.433644502032564,37.51537190683175,34.516307014459514,38.20758374564286,32.47981558749586,32.494479567349224,32.40187454035828,28.05022241250452,28.944120166554484,27.043400970266347,28.38359159271953,32.06427021430819,28.80395398528364,30.082673301370164,33.308753092317865,34.87443686866206,37.05674854641536,39.7750683785053,43.27979600472798,45.70198756822424,50.3251003494322,50.487379250839005,51.05829021094349,49.74829989146669,45.24131277908252,44.64714868591554,40.73221752921183,39.53087351676862,38.48893016248962,36.074239221707984,37.708028720710686,37.81442111249624,41.097331246557076,42.0471074557994,41.85935406619703,42.92388047430991,45.36606427695704,47.12999594617619,53.38138093124804,51.146213288781944,49.17477585795171,53.18680675625446,54.83037427581557,56.17925222146587,57.101546335755955,60.93459848216022,59.44951939550665,57.33338002391715,62.4915301735383,63.972411337398974,64.58826662570523,64.6632799389506,58.56108535581698,60.93682192690887,63.17220313657786,59.94434599551414,56.577221251591354,59.5383518573481,61.60930605231697,56.04097632693272,54.84125020982499,51.60019192078965,53.14126514239384,52.63768669826739,49.27158846463249,44.700186964357016,41.203444306299595,38.13292667845826,34.183738533432326,33.53682380922512,32.78758393754867,34.592567460797554,39.35959052066863,39.152142659252824,43.818539906702625,46.086982665683415,47.299542393964146,48.84829202897012,52.20625654484775,51.36681788911317,53.642750262163645,51.73633135625639,54.45886739005087,52.572008445096664,48.935887564346224,48.75153363487731,47.59425632168993,45.773301097694855,45.40810633161554,41.951243192760764,41.64443956472585,37.956817865363256,36.121783067934274,33.2177797427086,30.263891959639228,28.150304134137677,32.63071332192545,32.11858047736554,33.511214448507474,37.76676118338543,40.007686339542076,42.81285755501898,43.917681824869526,49.33521105308459,46.5312568499298,49.946258943209585,51.228438788584796,47.95021253500492,45.64989980643129,41.7462354613227,41.12847067115197,36.447512655955194,37.958908718088715,34.842329316980546,36.45745716798414,37.17091375929617,39.10656873045437,39.067705395580624,36.068106711193344,33.829886238510944,32.08630456793185,33.78357701723471,33.48176077422249,32.78380045087628,37.889515022996505,38.23211988341394,41.79851630446253,44.94971889884369,48.187623249439866,50.314585650807295,54.0389092309235,54.77310064237071,53.40625518528805,51.016830890873024,46.55616876279208,47.10224582029443,44.49184281950625,42.39333388214189,43.226737806517875,44.33537188015244,47.46694441608533,44.37074548294335,42.829981260150404,45.24343948313023,42.05517152131808,40.47764532385671,38.62747522314576,39.28879472555367,35.41492725208508,37.18433522660477,32.90348057080233,35.544800341324354,31.400048966035808,31.4481351556139,34.72894727728993,34.60068705025561,38.193114959319274,38.310123290402124,42.06364511856943,44.09948561167439,44.10210067418763,45.1952212393866,48.57818857321431,51.696852525096936,51.01421749990177,54.12680828535035,56.66738792041444,54.96478412746904,51.01510856052233,50.88089777714964,47.85528308781653,49.790923699899,49.26083325963577,48.22230011931251,47.92030615334981,44.2468390487825,48.990177772265106,50.53929484739683,52.373297452078845,52.871748643711584,49.95283576399015,55.502873466182066,58.54176132634516,55.9068706857908,57.353985337974976,54.837779842202636,60.12771615039937,58.27059511396642,61.1571239649689,62.414622446743635,59.28049611728658,59.70563982956868,58.005013849913645,58.67496807369007,59.59128120217659,55.134631915326146,56.04421781809372,53.76156071865235,50.96088974749837,53.3464271259151,50.13112384416749,47.244665982180905,49.47316094230066,50.35667709468611,45.53793190062792,45.03658658338763,48.10385767186341,46.946736178147674,42.04748244154747,43.881272791741324,45.13228701762413,40.81183144575273,39.581635816542665,43.54950243029696,45.25464448180398,48.339180897734565,51.76764677416977,51.49332422016359,53.17184263534471,58.339526524736215,59.85619763028886,63.038109097731876,62.759820084294546,62.29355567951066,63.880298672083384,60.99417672924766,65.78895205866543,65.49326363280598,60.12910665801703,62.5210527315925,66.96469820039161,63.70232584960637,61.16252763409535,64.27495880962302,65.46229962394,61.28966954580121,59.677106662994284,56.40541304032685,56.793078256162616,59.28803220628752,57.34424313362969,57.64471022954669,58.43156136584411,55.06619654080433,53.516015733485766,54.01001581655377,52.14116710754512,48.58841553336561,48.94265622898556,48.35515193174515,45.213504765054665,44.62831853640184,48.73686144046775,46.73197516485882,42.41480115411468,46.17828177243253,49.654054703081805,50.77597868474537,53.74350417723677,53.572355646127235,57.9481529138071,56.48047101105818,52.22843163384101,56.405119763527765,58.435387038236215,55.57371843382423,55.180985154580185,61.04536464463833,60.21373545232784,55.734491891256475,58.3985984896065,63.05434619299572,61.16851432203463,57.787489325173674,53.16051153321451,57.192839164351696,52.97045164049659,52.53252240413562,47.622836571750994,46.932022898498346,42.140518647627,43.20267212061979,45.65431696366218,49.28979330958606,49.769264729631686,50.16756807034426,45.93310741835514,48.07616120145654,43.32046650704102,41.498531696271485,42.97355749316923,43.539181620718125,40.84330395390508,38.39967900477985,39.1139155257164,37.03332106955026,33.911400095369615,34.21561347499001,35.58206436252319,33.62698537448704,32.49747266542579,31.922599264111724,32.95820290960831],[31.218018726648303,33.190316117152044,36.01124971914228,33.35341660025252,36.565864397658686,30.471264560295364,30.25963698607462,29.596706320249655,25.330220038877286,26.389194691030028,24.170135780399868,24.979216090480268,29.118052036030978,26.31341011600648,27.15307790407474,30.232426751949166,32.28942773520808,34.51404843856349,37.70716367646578,40.88561582999092,43.53751629923432,48.04914995547779,48.50165291037536,49.33169411039789,47.79489971325753,43.34380409550623,42.499697380890005,38.50005508375132,36.88793175751775,35.45057925491993,32.94567687116513,34.217302251624126,34.0962276379877,37.53642231165337,38.62801380007154,38.792456630285955,39.6543943435093,42.57110790462493,44.51604524256567,50.613470821051635,48.79479643801357,46.812848406687756,50.72437052859759,52.584108904351325,54.23318666224366,55.2910543772342,59.105388724296496,57.31312696924702,55.18469066298764,60.440637266535525,61.668576669241375,62.1554672615474,62.083229202679085,55.971523802634835,58.0719504775621,60.39263804573842,57.395786950095854,53.80577387494883,56.61618121543475,58.986838307079644,53.48044887918745,52.10589824612616,48.72649396110796,50.61929772786394,50.21364065949705,46.654955683167735,42.40764097618692,38.67381805170539,36.0436295142566,31.858805903877247,31.624066806308342,31.089779530494763,32.36352359599598,37.196166006680414,36.47512487307263,41.01723789731818,43.20922207551274,44.11542744519449,45.66873249625205,49.10554947042433,48.06755141784171,50.505370991071416,48.36672794246047,51.26869977092264,49.6504772928587,45.86622659572945,45.78766532272985,44.25884204469151,42.736273746116105,42.01128797578777,38.77617620922954,38.51151170016907,34.722264855864154,32.62482635535487,29.82014695092258,26.779191888543096,24.839656046274623,28.910031709149635,28.364393293390318,29.433832321608588,33.94663607807429,36.21480443295253,39.19799258885907,40.44352589392254,46.046678299875005,43.46911660032003,46.84280758970186,48.4157354711575,45.32211114014513,42.740233543475796,39.11097623597326,38.47660531424874,33.87920108817887,35.67938468311772,32.55002450290489,34.561009437259315,35.19648913353729,37.57615601586712,37.461723242414024,34.038056709746975,32.10844272451797,30.21390962259569,32.34764999811482,31.808627078762594,30.89816674830502,36.012427441867004,36.13318259179969,39.572840994311726,42.62464368352776,45.58033643325617,48.0870076716704,51.582442305001805,52.42617513276291,50.716110377533184,48.73519656763028,44.358383224773476,45.31696551765003,42.78198963096902,40.932677032398466,41.48764313326819,43.04099731163358,45.98156816295803,42.65265049409869,40.95139772810633,43.08584188725792,39.598119265234246,38.149097014449616,35.948517157181726,36.45265267873951,32.518619027440025,34.056673579911205,29.556735191099964,31.87371643538072,27.575500777183905,27.457546335020062,30.882095504014146,31.035583522241993,34.72638642316672,34.974092878046136,38.94735131004931,41.384284470314554,41.32386894379705,42.921930493869475,46.067370871220845,49.48072110255745,49.242726386043834,52.176682481657714,54.995199747469975,53.33501473493328,49.43940610029738,49.02949095516824,45.89966783864842,47.43309352121791,46.60369813118919,45.31340897379176,44.716546678721286,40.98774102492951,45.50212076887276,47.37293672268688,49.158529097667014,50.05137562733366,47.036884941032476,52.7120043256023,55.86738651288372,53.375826604399165,54.77161257690694,52.285424703037535,57.684617616416745,56.206359473731005,58.95585916985664,60.31763529158576,57.04098579150819,57.57477840142497,55.87180666918648,56.48228280413008,57.4652327940256,53.1151764828621,53.881483854012004,51.74559039707704,48.658486288709064,51.08392001404153,47.63385654569706,44.924495762221774,47.495739605306305,48.17850879961867,43.34128342108002,43.38241881927208,46.35158091014011,44.826783149588955,40.27498480328609,42.407301887087144,43.5313470147316,39.07641921704355,38.30881377853573,42.46136954992665,44.197460277982735,47.06553805762771,50.77790686254766,50.11817046036239,51.674432583375825,56.75254008849748,58.24970169777504,61.27961797838294,60.681383623277206,60.09978243866251,61.46819748436821,58.4417883839636,63.273541595485256,63.26089100513167,57.94187372594117,60.11309653991027,64.7492028469899,61.7124585149734,59.060833115325316,62.103416035337034,63.639668596843556,59.57327110633085,57.73906345234247,54.432192977159296,54.36224877448825,56.7687835749065,54.77854758477065,54.77699982195857,55.44071506621043,51.94700494384584,50.70177227133131,51.20285589428047,49.05677736540548,45.63400709795669,46.31122916149539,45.56768122419905,42.39205304190185,42.16204209230295,46.2779706459979,44.187176006949564,40.07192999941964,44.099282698923055,47.498002013794085,48.722331734870956,51.457599726369246,51.13855599351542,55.57549839125086,54.407518302705995,50.237478442101164,54.2461408856281,56.53407850863417,53.85185234772235,53.366058155462895,59.21415646976624,58.7389679180838,54.33357887675847,56.806749754637224,61.56783546575684,59.9897335274581,56.67435636399798,52.155238227526645,56.46659864898052,52.450755887927954,51.86677979732746,46.95530376690404,45.82938930401684,40.995462966065645,42.51355378523267,44.76698183315425,48.49226759275913,48.68013696740972,48.70632386989859,44.274299947079854,46.0752268747758,41.3211883456499,39.41856109187517,40.38667415360787,40.869917491900125,37.87499360616199,35.871324273013535,36.768820750949345,34.34182951445753,31.33313051781863,32.1916254303238,33.36960150726711,31.031943512642393,29.773024830287095,28.98089253444915,29.893338909713957],[35.414185660170425,37.38712069951855,40.04364068295064,37.55265870937821,40.392033624635225,34.150055587482946,33.632666574301176,32.486700539552075,28.26343559138417,29.091235361277587,26.413792674151832,26.769134900154707,31.107194335828837,28.561750105532933,28.550778459059273,31.540292719228937,34.06978696245149,35.82717517757226,39.11873335899437,42.13611740576435,44.65089867645607,49.09973850116417,49.57679105819619,50.72906395704425,49.31700603711157,44.99957213423208,44.293547602027864,40.41330465739071,38.416656152790694,36.82203684430286,33.552771434026766,34.986632284264815,34.21871581720496,37.40974780110302,39.0442199410621,39.58950289424896,40.673610077178985,43.91250922283192,46.15998522528445,52.060841639408046,50.59388091552305,48.250607246628114,51.951682749747036,54.13726856118323,55.92384118546303,57.297500916666095,60.95615357911318,58.919195985398275,57.11673023594656,62.45109631670977,63.32298452102148,63.78066120966381,63.42395000839426,57.47225298260916,59.28707516219422,61.38065351888989,58.52905794780992,54.82794973937164,57.29229316246913,59.772855367266175,54.23519762605525,52.41823054444193,48.84528408231239,50.7769105958372,50.76709460260798,47.28423265124983,43.06872741252051,39.351067433783626,37.002249725509344,32.74202353063837,32.73517951953798,31.82049152320061,32.724144911107544,37.493150965700124,36.68468500797214,40.63968401478002,43.30440386840333,43.7920865776446,45.744635138790834,49.4571899227645,48.59629806889272,51.420003827513355,49.363609973843424,52.59629101760219,51.24180798384232,47.18506671940129,46.82482809045908,44.947736115432924,43.323161560124326,41.94154888784373,38.758271706260416,37.9558941395521,34.31768635037533,32.313655510852584,30.137914678236402,26.741219533507316,25.563619957041787,29.394992141082835,29.29418045238749,30.18597697279104,34.77599809540577,37.500684314857374,40.43580699470361,42.192535568943384,47.9563005660655,45.79649554203515,49.2069219914693,51.10451902894543,48.278005764064474,45.406488460395934,42.09616571094197,41.258476722184234,36.762624515766056,38.594720841813164,35.20368140975718,37.382691626830685,37.609474096046505,40.19189490858346,39.48202388850007,35.910130193628405,34.35386194296211,32.7124375813956,35.35156562459425,34.95504020371361,34.19248799724379,39.31627367451884,39.56031562236757,42.75394204187524,45.77276677786158,48.37353415745824,51.271267066183015,54.564247413415366,55.364696890833784,53.31925086816304,51.66324384577192,47.349178102646036,48.738092364717104,46.07011370519091,44.24527528392813,44.446275873959166,46.014381673593356,48.600688430061254,45.03178397820297,43.46798196933842,45.309593502964255,41.63896027335529,40.506088955657404,38.18654071745165,38.78695085466639,34.98405626087027,36.46263341124005,31.803579705848943,33.70903499984075,29.27793468101673,28.728113647758484,32.25139227188524,32.670148847514064,36.570509555738866,36.667512144958216,41.085196954880196,43.755443054200875,43.286517027113206,45.3738249107559,48.17401454751556,51.96236055564775,52.10636615719939,55.06307618803921,58.056423087944324,56.60509286225553,52.699652448073905,52.159770881701846,48.85854411337991,50.00225102141103,48.89265705565636,47.27451438005684,46.45259607987414,42.504583416616704,46.72443083719014,48.89999035586175,50.80131269197262,52.106530225489585,49.278233104576785,55.02432454697873,58.22744883397126,55.80083022719164,56.8623783120511,54.195986962148055,59.643897536729334,58.48669891921234,61.291007594866024,62.87467449279618,59.58070422973793,60.39203816402554,58.82291448772123,59.497275014764966,60.64733977233725,56.44354369283532,57.184677731039265,55.2436703006837,51.94491871263428,54.453388521542585,50.818893013751094,48.26451801223274,51.1243236149722,51.65628746667337,46.831809323953586,47.27155799409096,50.16123267441795,48.34001122328289,44.09528507852923,46.40295818689205,47.39071177208456,42.865446197900695,42.42298961772911,46.6145581195442,48.408194139244735,51.07055732183542,55.01291459053797,54.13969508649061,55.5736270641383,60.587658076539704,61.99976536699647,64.97087387449777,64.1266150376936,63.48809216204106,64.66756780693743,61.530587409769204,66.3815261868062,66.62747950160623,61.36614840654729,63.325049369178096,68.1170200178371,65.27406528399877,62.51994344325542,65.46052724555602,67.28645739944784,63.31720769159188,61.247593076033,57.99523353366356,57.51223367077205,59.86032301629131,57.86786521443981,57.5503967038701,58.06963035455339,54.44316151094661,53.55515531428571,54.05207243592891,51.596585800993324,48.368063455870015,49.376764239457806,48.42570847710329,45.229848275504594,45.37916181743628,49.416584341840974,47.180359277456965,43.30145081075452,47.53604842903905,50.80459010862647,52.18487661301355,54.73691407097406,54.342443723023386,58.81186928017,57.87361011478703,53.832733974092555,57.70472121922593,60.17750290208973,57.63714798874721,57.10282991377708,62.91744982271602,62.68413081917353,58.34431693575161,60.675794013097494,65.50055117609962,64.11515113434837,60.841845902685584,56.3921554145068,60.82931674452504,56.91179705212969,56.26919664995646,51.37426245137245,50.04227737535732,45.205943005965786,46.92949472083578,49.06961681283117,52.816648417344304,52.833889556127836,52.67205554381554,48.09077882352554,49.61113040358351,44.83692894526104,42.9930309330819,43.5185608215152,43.94594932959022,40.647071370710215,39.10053869509192,40.182446374484265,37.44769186665802,34.5796149536886,35.91075220235688,36.88393836613923,34.20155049113023,32.83544892578088,31.791166364966283,32.47142646945665],[33.8244735129977,35.462248572063444,37.7027038167011,34.972454791105285,37.43297390661292,31.32980208514792,30.438112659291882,29.306079267167988,24.924210046719747,25.358169725282263,22.5644153970968,23.11883756054876,27.202583910855406,24.541251397162977,24.447791496420997,27.494649200155177,29.947523962771157,31.640809357063237,34.91122366499703,37.93980617998055,40.455415208441636,44.911630192380116,45.39519264104673,46.54245179898313,45.11110504420509,40.79738288393861,40.10765690642979,36.25241295950451,34.27352121337316,32.791879085886684,29.496024815483487,31.11771709859755,30.492412112406896,33.62911022442859,35.137366644034216,35.52658507489075,36.72014995262592,39.80062822835764,42.041643348788064,47.968602597161144,46.44243828782968,44.06032826812138,47.772395705225954,49.94430376982793,51.72139711686687,53.117752428377095,56.76196527113413,54.721281045645064,52.95563945918031,58.29178390263489,59.15184060523407,59.631428646649276,59.28238003128592,53.34244461336359,55.21832535989397,57.27380687554245,54.37036422900952,50.71524452021724,53.2292719617986,55.64304966818248,50.0953831228762,48.36144005441852,44.83999807344619,46.74369887980464,46.646085929151916,43.156848297159925,38.925625998866515,35.20111577705998,32.825623910520314,28.558165394222485,28.56462668773739,27.758038414584494,28.64267028208724,33.43887864039215,32.621443198208965,36.756085381414415,39.294312798205766,39.94318324283187,41.803411775242054,45.45813798466086,44.65505592477462,47.417706697555204,45.49985935866378,48.69374158253235,47.24635945942222,43.19244348740495,42.74988422022863,41.01583811637387,39.268951851185946,38.091766910492034,34.81739489748134,34.15858922981741,30.479370454687906,28.52298189293526,26.18826336560103,22.858126964644015,21.535143494217692,25.64344213758427,25.663317772509927,27.034923149319567,31.24294054866049,34.226142016851654,36.85123287604759,38.78866420383369,44.449046887124084,42.37561486228959,45.95791816541286,47.83273354869427,45.12997097581424,42.23924106876693,38.941521888514224,37.783391214860465,33.276655845357475,34.90128705076869,31.319140361552563,33.46129294686909,33.53455343564587,36.14421854847019,35.322311488655316,31.726363635377982,30.22935502531131,28.65866960712483,31.456016453610843,31.17000857723403,30.599586166419023,35.7415207309045,36.35476239371651,39.32712749823558,42.4376744014083,44.90903491488046,47.903717207565165,51.2067581151181,51.8158841444772,49.754843223597035,48.03011264406781,43.69906053761604,45.26361836513328,42.40795384326374,40.51778730181357,40.56023227583435,42.07628437794811,44.54083643001673,40.92012840150137,39.412149635507625,41.2114092726019,37.56040227065081,36.496974667030315,34.27548477651824,35.0510657815018,31.39302625737525,33.16138575988926,28.640473391178872,30.852554425411107,26.856894330211418,25.882608896811625,29.120275441578343,29.209009817455744,33.18931844615409,32.97703341327881,37.500777942779614,39.97031641034062,39.32032093727598,41.39359813039046,44.147705628366474,47.98348779312158,48.176945309168275,51.206595910012595,54.215075293034154,52.901071525382775,48.96548853988013,48.43510100817648,45.047400993213984,46.13201271534455,45.03033160574254,43.402121300149126,42.70545308322339,38.683768009923654,43.01855883293257,45.033272406776575,47.03330043841445,48.233755570534974,45.59975396369424,51.30160598799375,54.44848399497216,51.95542457199876,52.87528336204487,50.12942860794129,55.559464519444774,54.39372751822917,57.25219686863768,58.89790552473229,55.64877975663138,56.58022368174388,55.11835832446826,55.90271424346667,57.19892628754058,53.08196071277718,53.97885416318755,52.228225651375006,48.939735313472795,51.70797425700655,48.13224047149659,45.45797186526588,48.498347815004415,49.246305562501,44.424473501238715,44.80794120205961,47.93269681554715,46.32130367870683,42.01669603036533,44.44631987057106,45.68257734882418,41.18329935729208,40.68601812187544,45.08924476651937,46.63393517976202,49.576954519311,53.13914020417977,52.1759312366889,53.81475830870437,58.7259443232423,60.40761256918443,63.119100868317744,62.22404410139145,61.35912365090504,62.42681143119177,59.11663705142709,63.88557143720895,64.23619528175662,58.82108567474647,60.63915284098133,65.44166090007988,62.60183245646353,59.702629932714466,62.489208648139375,64.42717032558159,60.52190051636609,58.154292194687514,55.12972888621585,54.507526092459955,56.98438325303726,55.237327328094125,54.9091825175351,55.68994835260595,51.88219477166685,50.927262056094285,51.79638210254714,49.36692686298728,45.92556567529991,47.11897177332454,46.47332316842802,43.31747811072997,43.40180536649998,47.666776844303115,45.665133821337186,41.77341036757409,45.997800385804524,49.37812470108902,50.53157011918567,52.94797565385304,52.271997138854765,56.74792002339135,56.02352018587164,51.75943993614075,55.435999995845535,58.056328894700655,55.54952963869648,54.70201674717864,60.56260850442872,60.505329015843145,56.01730574370183,58.11155444607961,63.07958941591015,61.82396674003394,58.464728138150676,54.03133493119881,58.548546283933554,54.68066407036511,54.28918769916621,49.265109980529,47.843588724205766,43.00221877659978,44.68295247920369,46.621555459578616,50.32279067411345,50.14255251289191,50.02833032855396,45.23700085762894,46.61205966129668,41.72690417882706,40.23474729260647,40.736669627908334,41.436740550646434,37.99971824516634,36.35959637968221,37.84350419634103,35.23925117937359,31.93495558139186,33.6243126802924,34.9970496669332,32.4149241714614,30.942939210716318,29.816537886244483,30.68192299917018],[33.294057205266306,34.601549657374164,36.52121717629712,33.348059125482976,35.628011295535806,29.872257859877724,28.6680301359282,27.873634567818925,23.254834769700725,23.09727805211053,20.345381595751096,21.499886984113544,24.964104243292468,21.845437117438287,21.913169543492884,25.136935647547,27.189710126956662,28.746326354542415,31.688581272800725,34.949659703758634,37.30960988554868,41.854571803616835,42.161549367542904,43.172059656518705,41.869212261825375,37.52021780700119,37.02298289786866,33.24833804632665,31.526402334831708,30.432899253231525,27.117099160017787,29.223050263233063,28.887659919748266,31.819197173848806,33.11483170020011,33.10801534303052,34.58086294412538,37.1879705624081,39.33141551088494,45.37900345652011,43.548786235274605,41.08986464803454,44.86843052961843,46.921896118713484,48.51849982610774,49.892238553980235,53.52508564961509,51.64061256105996,49.95182390227445,55.249033253950095,56.217310408066496,56.79913798436539,56.52113088728814,50.60995253292248,52.70224814910242,54.642111923157444,51.5456872000797,48.07073178493269,50.70688557579502,52.86710478563138,47.26018976378933,45.69384223528687,42.30351277655999,43.94875069729035,43.721717497867864,40.35311113975797,35.88120330403464,32.30080552864807,29.60267297282616,25.461698917995147,25.20646681808945,24.34047464617278,25.56124014789482,30.361398103193757,29.88462920834597,34.27563809004598,36.75359219142666,37.761370880966254,39.54122427129911,43.09664772664928,42.50365903469101,45.12181418113525,43.515988047463765,46.576907615829235,44.87569136005589,40.89635489770399,40.26868620462461,38.91648451162604,36.824169978678704,36.07679058389844,32.5567631696629,31.997736568892897,28.36589381148463,26.672779957444,24.12556097442232,20.945543826392704,19.350556265818355,24.064961487178888,24.267501787156743,26.38350529137047,29.960437482920742,33.219345367153345,35.372668846724274,37.44720773897777,42.87915514931426,40.792443053969976,44.588583806946964,46.2884263255841,43.63170648104749,40.86711630724885,37.44111183317747,35.91949442802742,31.34974695629905,32.558954046500276,28.724573475316298,30.59057366093384,30.493775692576836,32.882830362930264,31.91033183205429,28.528558118622378,26.916275962674927,25.54488020003058,28.323008987146657,28.33573015532923,28.140977727378107,33.322460960115116,34.506132817691885,37.289370097567016,40.565290233465255,43.03566124728592,45.946374859235874,49.381626085121916,49.71089272423825,47.80782767503473,45.78634758339562,41.38333034633287,42.94028932912787,39.8061217496411,37.684512120852325,37.678028987852976,38.86564583028978,41.28068148534587,37.705354411487235,36.37155704030741,38.27970535024994,34.817227807634296,33.77496991383084,31.88098243330006,32.970608242866525,29.524207458966334,31.76491318076686,27.53828810453705,30.264112689829,26.844301337930847,25.52819197715413,28.338724479253415,27.886076974353163,31.88778101315487,31.234072935371337,35.758804149775884,37.764898016435076,36.914052718859175,38.69373922571738,41.52109965223466,45.26782224430519,45.28211849912526,48.51279391802777,51.39473041271576,50.22788875757342,46.21615921424895,45.84789535186856,42.40052047559262,43.63209886525836,42.70014505633243,41.190625112240866,40.8042135966543,36.72216602797595,41.30631675962152,42.957448737324896,45.10698977742466,45.97735347489825,43.633589326753366,49.217806499746914,52.23745658674436,49.586552363992084,50.350919122692886,47.47766935075191,52.832061793528354,51.450179314644885,54.46496938567603,56.140050043370046,53.01977000879843,54.04857248009534,52.71782347383182,53.666579600850994,55.101464473943004,51.027189701421,52.17756858441239,50.565488543937334,47.433580341593604,50.467401501812894,47.07435574166921,44.18093029605563,47.24525988411049,48.325441035659644,43.51820404477623,43.56882411270012,46.99474624295281,45.784589654309414,41.24981206694705,43.66017397902349,45.21529421475175,40.811240287349754,40.034379125569465,44.56483329737338,45.835650572490465,49.17003342919954,52.201755376858216,51.331227602682155,53.24101479236595,58.086225850110424,60.05489260116438,62.57050940306677,61.776506662493055,60.733753261942866,61.78962875912482,58.36903080406121,63.031035455809636,63.35631336911043,57.757658857896246,59.53224426653537,64.2511771226906,61.304559427047536,58.302983253022624,60.955854051102854,62.84544760256114,58.95450131285074,56.367934223790186,53.61283298609536,53.06685433493608,55.72845071234491,54.26951704248742,54.07814977428612,55.19193625058554,51.26142522805495,50.08774985908132,51.34277889281761,49.07805147465213,45.358162414242216,46.58376588304025,46.32947068448188,43.23627917756467,43.080296398307944,47.567961006906515,45.84452120059009,41.84903482176772,45.9314711005121,49.45628498611406,50.333285870435866,52.721075080266054,51.829320489713375,56.278574236575515,55.63057627028098,51.09961024821464,54.6522197571902,57.300437658904,54.742570306024255,53.61021928693289,59.52660383265604,59.48107663710858,54.80035040037099,56.73423934603512,61.803933293771415,60.53599201944861,57.051701531401186,52.58152116510288,57.04793805216714,53.13099597411256,53.081242827594686,47.919711137065384,46.616602767471846,41.79061801871281,43.19692498007119,45.01387659832374,48.62075540114336,48.36834475401772,48.49633686063138,43.56886284947986,44.95750108415702,39.94130158345238,38.888411354979866,39.62572402058416,40.66172063482825,37.23536030692702,35.26717408194475,37.09027555056073,34.804085859746095,30.9791645278717,32.76732604210941,34.654647782947535,32.37251034699121,30.859660122995802,29.767395826998158,30.884285427035117],[29.77774523360306,30.77686016259615,32.33427697586978,29.095158408130327,31.07480193112924,25.411286601423345,24.01462118803154,23.29915374650172,18.613964599305817,18.36636299388834,15.722175161124127,17.147705795970012,20.461820686772285,17.304870475039873,17.829350681641777,21.0677459711507,22.943543636025556,24.92396861657543,28.080622973157222,31.257017409910446,33.892588253752976,38.4027517004179,38.8865951181828,39.77478529995893,38.20077987309811,33.782889285682494,33.00163641999662,29.08349681869968,27.451803225198784,26.317949571286558,23.660796546449628,25.476614750933194,25.677936607252203,28.86998586810613,29.678685824744598,29.465049130048957,30.664973265315048,33.187856176620414,35.17319774680759,41.29947793946027,39.4003365151043,37.23480530385613,41.130729482874784,43.02888971333255,44.69381758302974,45.89318757636666,49.63547004739891,47.76380924000042,45.80895163762001,51.09932813232734,52.2022364663213,52.7375412841242,52.61001043115121,46.57042076476173,48.757895442638564,50.923188015105865,47.82966131795598,44.33656085847102,47.19307320580723,49.41465556605473,43.88671774615636,42.64453796471749,39.37962206467413,41.202039856186204,40.643841922710685,37.09062997119584,32.83318980066472,29.09482280539874,26.451775874811887,22.254014155900904,22.092063306374147,21.87337727678455,23.02467118541478,27.865511328458577,27.098641857856055,31.996239711448457,33.8882152997103,35.14270006913406,36.5028501433852,39.813623565122704,38.96981744174429,41.3153849422665,39.57578783051642,42.439131359414986,40.632347509625454,36.80168730992283,36.4405206588824,35.24128220825702,33.37640298560013,33.100242999571265,29.670407287097795,29.729471357482698,25.923628780085888,24.015967344840664,20.874399943732843,18.10776671788753,15.780178128471459,20.578839267389814,20.443873849780427,22.85154357278736,26.178209194126165,29.21972539009895,31.288566049467754,33.13630548470334,38.45455653676988,36.23246615077467,40.070042813649266,41.662696248823934,38.998537788144105,36.299705816331915,32.814951009249086,31.219851921024866,26.630982447566375,27.820679965720547,24.059195829847276,26.00314998460606,26.108323812300522,28.628449414906854,28.083406548056495,24.535935013075253,22.830210273012213,21.166211361960105,23.89835671859329,23.717324130260913,23.422452677073753,28.59559995741066,29.825332382006145,32.5486894953742,35.84380353118614,38.33353621703823,41.211136306339256,44.668455427671546,44.97611101906029,43.13166167898649,41.05238142428115,36.64521182486385,38.213937061684604,35.113620136752594,33.08255231917249,33.09373336721273,34.516568391833836,37.03853409068262,33.49161245433349,31.967367492130226,33.92278967229716,30.44141944075152,29.25190323816755,27.309915254353797,28.34666474057373,24.879856856734342,27.247419796846067,23.184412760567962,26.252207807826984,23.27405665874585,21.88867264760691,24.412976572418728,23.654323271552556,27.56292461143018,26.887269968459403,31.22860024657455,33.138575079476624,32.47345641322111,34.14175849008336,37.08311270522994,40.72527876024927,40.72606785478817,43.87087031185885,46.78618503386377,45.55788405821323,41.5726315408537,41.14976077733243,37.72775786068474,38.996751191981865,38.11992526250398,36.724736065132404,36.426036686241815,32.45829662918943,37.20579958563639,38.69663538092565,40.77516566946721,41.481158243506144,39.0515243914083,44.61603031815864,47.63017921206674,44.9756133864567,45.900577929715155,43.152862171164415,48.52201006156325,47.10277078752504,50.01634314266338,51.60619871629778,48.43995309189342,49.37745286246657,48.00143732874474,48.92850611906195,50.35563915509474,46.28848859925647,47.46918281487679,45.91516781597582,42.8045290463444,45.945914437033665,42.62030476568526,39.65181541646034,42.78517607635431,43.996551313941154,39.21785162049343,39.231200574953036,42.78171785430213,41.73707172608701,37.18696826272142,39.67610722729852,41.40022018555152,37.06402428768867,36.274359016122034,40.93463900133072,42.00453382732148,45.50261642975487,48.256404776122416,47.2889986596789,49.32648322411383,54.066795529699974,56.22894131769381,58.5389944671845,57.72575496881541,56.540083291422164,57.54519907192417,54.0488825925121,58.64602234810656,58.99490835468856,53.31849403702677,55.03706029968833,59.733633823880375,56.781934354900365,53.7220211244937,56.31446572417472,58.239126897323985,54.38413427663082,51.684995206453685,49.01653372495682,48.443234406220654,51.16643938250114,49.83777053984246,49.708524928952464,51.008597512912345,47.02429662353186,45.72114873328812,47.201143471660956,45.04666798238144,41.15835134092221,42.423453026765955,42.43031336947657,39.40038418415026,39.12299847250653,43.75480334489788,42.256840397414244,38.2588720506261,42.261343252599566,45.856450028231485,46.53010382076176,48.81831062259906,47.741532653073776,52.16625368936677,51.644482716967175,46.97161057687355,50.38580203713791,53.10722958293942,50.58156724969851,49.25433811458518,55.17774461893843,55.24963162583913,50.50423652233075,52.28571924760124,57.422919153555725,56.262107491795994,52.752939458567205,48.329555108182156,52.87228247639798,49.05150326254838,49.11504762139952,43.90986809083484,42.48115170317764,37.68668721101102,39.14079604401251,40.78343796920062,44.362941301124756,43.95564771244673,44.048705577578716,39.02111571856763,40.32548878458838,35.28010673762936,34.395699422990546,35.161398559396616,36.37188161089194,32.95199246377592,30.841237659535118,32.89758274009297,30.784532436311075,26.657376617456777,28.64545239339485,30.838745081788815,28.731268571338273,27.18786413271001,26.131626001135583,27.46523537056157],[32.54998984508127,33.343442335361466,34.48104852484974,31.308934286855248,32.65779080772102,27.107378555147797,25.199303831963434,24.057373695576125,19.469329348586307,18.62501690832456,15.463579085484653,16.550874977764607,19.697402915508043,16.793201983845588,16.206926477230084,19.383035816344346,21.675173547854083,23.069687150648914,26.309608450437576,29.319036549909878,31.82462026166624,36.277846261371316,36.79974597418347,37.994384849729194,36.51633868092413,32.24651644336113,31.613313899231713,27.862238781315874,25.85820295464864,24.682524899847603,21.19088450245826,23.39656519064745,23.095591339163846,25.98040565516382,27.19482380508498,27.198315301641404,28.733733374958305,31.414028351535016,33.68448398673594,39.62677366482111,38.01749001242657,35.476798673422934,39.17592062197601,41.36903100016584,43.15693382617934,44.66627752061556,48.24425245094082,46.14270557789223,44.52237574341766,49.873538929285274,50.63858857194467,51.16355569469429,50.783644909852846,44.90668751873729,46.88007813504168,48.80524941668722,45.80202284467856,42.24473116626019,44.82675245066966,47.09446678867811,41.52531202828855,39.94503769147483,36.53708242670016,38.383778544470275,38.11130843400116,34.61217501741872,30.36952758958894,26.622587956603653,24.2480284710891,19.94545379154466,20.06736208550736,19.57814126295031,20.284381067659584,25.120439411971592,24.23029780762952,28.774152249367024,30.998064190912483,32.018790654317144,33.66991855727233,37.19478751912107,36.57078346357743,39.22299079585984,37.690706723687796,40.82030455138562,39.18407526985298,35.10873143244798,34.39926232930613,33.002005345894766,30.915397941355092,30.208760971131547,26.716579865611756,26.40562509221416,22.67047735821846,20.90085690814909,18.211385015703073,15.120245619547308,13.465193033573582,18.359451952845475,18.85508466215797,21.581796209306567,24.525176569341838,28.23539843036463,29.937556854590767,32.420228485827785,37.745157130152286,36.003955839004036,39.97667741701301,41.826307167977404,39.526455525634596,36.587107699280686,33.45440602066869,31.44009386740112,27.032345472380193,28.050323823918784,23.93815736284926,25.980956852594158,25.521762551193337,28.244019204025726,26.998267059463274,23.29410838934083,22.080556202854332,20.794300829435407,24.14587575527175,24.208345335333014,24.23296863993809,29.287468437346597,30.892344555393066,33.16079994825955,36.443458489264046,38.47291234959035,41.74960738959241,44.99807490872837,45.115446900524255,42.97009488097462,41.151770612440004,36.839084193114736,38.92420162070665,35.600475266408765,33.576152733952405,33.114788833723516,34.497013239727345,36.545521099417826,32.75174372133919,31.424965478584838,33.03151785378571,29.413423847091863,28.620003546332583,26.674869958014284,27.95488131124438,24.818880422452093,27.334865410525836,23.343953840185534,26.217645603408446,23.573939681166102,21.45443837959954,23.728094427093843,22.9171379282187,27.034607543839165,25.924417619396653,30.74162245436131,32.67344417836702,31.453967816990644,33.574311920604345,36.11575358799508,40.13027784313671,40.534538311049694,43.730607471329364,46.797854693105016,45.875040397915726,41.896917148490765,41.36375458654395,37.749799597742324,38.58851968814077,37.46084273255629,35.75628682313711,35.358615850133866,31.13985450992719,35.68846244562357,37.31136312545059,39.57623361958455,40.5705136478816,38.49749374685631,44.04963638183413,47.04341844153064,44.40977780665396,44.90452630919013,41.933191361428456,47.31456962920476,46.19294964521874,49.18669454196073,51.02186132929377,47.889477964814034,49.16932002159472,48.00655864190501,49.069292106672364,50.74603481148395,46.90893314829587,48.172110006370694,46.942615445174084,43.68749410612047,47.055142176726314,43.64883577540365,40.764490364467235,44.23477884422605,45.45273198257639,40.74506135951601,41.05944138597736,44.651780658235985,43.5111388262831,39.23661438212575,41.91271167094644,43.65846385959887,39.335930388842904,38.78817998871049,43.54506890643871,44.50030227661966,47.96619206854335,50.6472909141456,49.45744787821628,51.50677664830426,56.09241998844342,58.34388468955208,60.42303060411954,59.38305152331726,58.0062196393127,58.77273418780121,55.087743247922006,59.612770053549085,60.247907296332166,54.551085441633475,55.979182671140094,60.78410630754398,58.0161244929251,54.78951635560261,57.16694735970228,59.404482859958854,55.70469234009677,52.61387577961166,50.17748432601635,49.15179546262483,51.89715309829867,50.75485438098044,50.35116533499922,51.70951472015788,47.51349197677396,46.47638872259408,48.206333057322134,45.83273483566904,41.99509685118199,43.65606879977902,43.70159100071192,40.71791161476784,40.7128433903956,45.37731605098024,43.930865375772136,40.16006563489537,44.275493417743384,47.80181978961568,48.449586286803495,50.48143533018172,49.16427659035905,53.58308971567094,53.39589521346652,48.72174286262787,51.86092520785396,54.81257654988817,52.446203516494094,50.88184514118078,56.7599832969982,57.14977346199466,52.39917528571514,53.88774681017299,59.13592918001638,58.23048708460046,54.72715347201008,50.411976357332044,55.07063048898817,51.3982106492373,51.56975505874468,46.35114595701235,44.711027052673835,39.97653479181196,41.5564874677847,42.953622568889315,46.47727557716391,45.79897549389645,45.76039046511183,40.52537202303595,41.4626225011606,36.392821012053986,35.828557703329686,36.17563505668538,37.516136255133176,33.78838569895709,32.050894940233235,34.50745775105205,32.26377476107118,28.052502559804328,30.640589056982126,32.86520535745771,30.58458254522993,28.91885215807296,27.621603205717765,28.84783472210771],[29.456358610730458,29.930270233939062,30.676394837720473,27.505194500620945,28.49131787149377,23.07485002609611,20.94009231126065,19.839678033226463,15.225109568557482,14.227966132692538,11.111573697943877,12.516948052818504,15.510856063418906,12.608957876153731,12.568743996403546,15.76611937165044,17.891233621726606,19.864004161538947,23.411965700750887,26.284016005202435,29.137123503195877,33.53114776008092,34.271252627215354,35.320874356906515,33.5169387990281,29.173799735512446,28.176043098188675,24.235149261853522,22.310452524462534,21.03365042818169,18.415761529079123,20.182062151656073,20.565341559266752,23.790604939314154,24.397060899339014,24.174031591176984,25.332718819171976,27.9579297210144,30.045567030616184,36.083669172847934,34.41214968879374,32.235291230748366,36.07169894580935,38.08335746038759,39.96111487987987,41.262151491551485,44.968711687324884,42.878183719562024,40.9368251752301,46.28210807309675,47.20212539797791,47.666649363090784,47.46066009731581,41.426931660785975,43.50242228512385,45.70383852256921,42.71501221234635,39.1262981601422,41.961964627684445,44.315308905051694,38.849281700294505,37.645305144467095,34.38811100642408,36.452270196127955,35.79844370998471,32.08228098153423,28.133874759136248,24.202489275952583,21.944864161659737,17.601312471399183,17.879940619524497,18.23983175410154,18.811884962917475,23.6147951899555,22.349920741533715,27.449064606208193,28.947504390277036,30.233195123667056,31.37393411377822,34.60078697919344,33.65473490354971,35.98657379258304,34.26016424034397,37.16698101864668,35.42036023203017,31.51247364636293,31.14979755238005,29.907154056489507,28.137445127440607,27.980869055980097,24.644908770682846,25.09755804824663,21.19371314068816,19.147614218077614,15.700874151128355,13.232342363916395,10.528294134927314,15.474144223235022,15.497505587019724,18.565313384945092,21.21338736817716,24.629584576350442,26.26655149814097,28.464943547821687,33.68177430695681,31.773537269072023,35.779467665345294,37.52046238284264,35.206087599011056,32.33282627107401,29.148626934242348,27.06689638509413,22.64492322340215,23.670647543426348,19.648663049272066,21.835770889107845,21.629589409129576,24.54894420884998,23.84460417244371,19.91388097493588,18.616171214912477,16.936124138976574,20.26286282012866,20.05575024328049,19.93355059041818,24.952136986058896,26.569786939359673,28.76449836275612,32.05385537231893,34.104203252085334,37.3501934308177,40.6152482821095,40.73500643243039,38.645699443614276,36.78168026724309,32.46651619033189,34.568775797844395,31.311744414960966,29.420541653210133,28.976531799467892,30.672253223934348,32.85004515037235,29.089948408960346,27.514477871195208,29.167368067742437,25.496552364660864,24.520059365608887,22.470522586208578,23.667124855103893,20.488663751002637,23.13932463075325,19.342591661599144,22.58993471628457,20.489363364658907,18.30456525645746,20.213631134288438,19.04154333657571,23.052070330183998,21.934480388734492,26.547677767671868,28.409966667107074,27.429230143990534,29.45074237833962,32.12952315394567,36.03264164574287,36.43263429998024,39.51129686377942,42.62490028232416,41.61350278352363,37.67483647090438,37.06453104091526,33.485169606153896,34.3566895284237,33.277717913902556,31.696209322346377,31.375977629799692,27.29062538245329,32.02986135268125,33.49430945688892,35.663709327752585,36.49116038766506,34.281068812553386,39.83260456597727,42.83692865829942,40.20751918697088,40.91299020416574,38.09993761645073,43.51215711812833,42.35387063449174,45.219460317873725,46.948550413501636,43.749788161288286,44.90943570256004,43.67770356637644,44.69921793972962,46.348915251998534,42.51178125713919,43.785533183766944,42.603757568103894,39.3659974592089,42.823404849611926,39.485473002278475,36.54062211977833,40.07309546672124,41.40489052982798,36.74567547090577,37.04174074699767,40.727264834305196,39.742376919765356,35.493207107771106,38.23360696079625,40.12194294241323,35.89966490160315,35.36126164944267,40.19870579881443,40.96040281763566,44.54533970251574,46.96334707022736,45.67737613292682,47.83040706224892,52.297699257076246,54.718695400826235,56.60180467313593,55.54739433632757,54.04471564512622,54.76692033849636,51.02381476063305,55.48363984784637,56.132738896026275,50.37899160063904,51.75759507502593,56.53449322792232,53.76709860446623,50.49569155076395,52.823333244717844,55.089896576913624,51.42477465247548,48.246179560649125,45.87912015273853,44.8292509654388,47.625240142169645,46.59886828639463,46.26121417042002,47.793212864840605,43.560966919659094,42.392995481985075,44.32909301461157,42.07656841919732,38.084118692064415,39.77386594917523,40.07410367838725,37.16995556749711,37.04510089500721,41.82106137422635,40.60161690280003,36.85804226305746,40.8644222361303,44.43428644580876,44.88604904570829,46.814252966172546,45.3288512967035,49.70964436545526,49.63865903184449,44.85164817191198,47.850251326453424,50.86102476793137,48.5347225449411,46.79693082891339,52.664456739798304,53.163772281998426,48.374971598500544,49.71845098459526,55.013362344216475,54.214593997042215,50.70535825275152,46.45554763939079,51.178813255383886,47.621425193081265,47.87817096304366,42.6546465708208,40.886080997944966,36.21544043337866,37.85544286264338,39.068163917043464,42.5514173599576,41.72023346216245,41.62637046930182,36.312727670153976,37.151812041281694,32.0723536122478,31.671293579165262,32.025514943872665,33.53377434210235,29.828626077858853,27.96630884900933,30.65451753981628,28.599561168077116,24.11732295476312,26.922899957024,29.423250779660993,27.341429391999398,25.66338373016309,24.40944341968266,25.842783225281377],[30.25583973954533,30.820309126474346,31.993601323742187,28.104028488176834,29.929575220072312,24.997760129540865,23.266375736383242,23.266608091267937,18.418658752739343,17.19454593100853,14.928505658841223,17.446038548424823,19.440988368598997,15.447019557481235,16.510700153637153,19.9488763313638,20.90911316029399,22.67120472512586,25.109766602179114,28.727683787803954,31.05297674656193,35.698122021969574,35.841737010824325,36.430469202090144,35.10252151498502,30.619275528410764,30.193681023243826,26.44229162862114,25.39309679250035,25.00989691175635,22.500187858529234,25.054683879919143,25.753920471277,28.52467586393398,28.950191544361576,28.049957366055864,29.66977278527117,31.307082290136524,33.05310616599834,39.35215291932608,36.89571768042667,34.65945319543542,38.668308294243786,40.306497754486834,41.61703255667181,42.72640184088038,46.459618049525595,44.90809294176903,43.053579889502835,48.24467975747191,49.579538387322316,50.29173021757171,50.31271933000891,44.33612998974525,46.89645735722553,48.877600038969376,45.46891086419217,42.31345667506763,45.371433112162464,47.145623731909474,41.556322515256824,40.626402611155136,37.6240168153257,38.97082526305595,38.1862527246528,34.885509774137915,30.231476400892557,26.826120194893054,23.561320286147243,19.726571072862075,18.969838672955444,18.674931997767434,20.562624879728965,25.289249304549713,25.20671247440619,30.443511467596274,32.209004365061084,34.04470053074563,35.25250634022836,38.34521378111848,37.84698604314883,39.9030573905545,38.67135250369049,41.25661365109178,39.0334688857342,35.406077600750486,34.774521290542424,34.25090313974377,31.854838534207683,32.31830935339091,28.564861554383643,28.779278411181195,25.180633094161085,23.78540764889387,20.418112535523974,18.107032494844958,15.408790146347876,20.916404757339528,21.02152205449759,24.358401197475633,26.66059570221806,29.928163302870644,31.2759093910845,33.199393952596566,38.06022684237066,35.77518975604001,39.84853767419748,41.098449437767506,38.468394536789056,36.06637871980988,32.378457575151906,30.320505044174762,25.706876152481613,26.158418825887154,22.08707443455819,23.417272073009173,23.3044033746422,25.302250921961395,24.597770009835557,21.564371633247426,19.524941369939217,18.233611344415785,20.726490497526424,21.117922822827673,21.50819085895094,26.662097155251644,28.78399747125268,31.2375928571285,34.75266634164392,37.30433667864217,39.91585955530175,43.5927762246189,43.49044930329158,41.98280014819034,39.38613464828118,34.88751718899923,36.29875497879768,32.79681863064665,30.354030419143193,30.390219852361305,31.176776144271276,33.70163596727709,30.309866122128113,29.0952146034001,31.310413758394475,28.24727443716995,27.04024554681127,25.74588148927173,27.272299308105534,24.21497011978607,27.25557872192127,23.813219967151145,27.52762329344762,25.40358358366578,23.75899504994503,25.59520685279701,24.066520224784398,27.81865171090856,26.527282530752018,30.67016508976763,31.760992329671993,30.857111413927065,31.894085489238506,35.00890531793848,38.393800374090354,37.99032507851776,41.46270220451019,44.106623749636476,43.07034842162714,38.97409214339258,38.86783743918015,35.41407508489454,37.02100866766057,36.49272262075706,35.36931524992816,35.6000785811055,31.643844344860543,36.72464434907723,37.59871676113283,39.86357435511015,39.982174859386554,37.99698836447016,43.30735109716751,46.092449028618766,43.197296597564275,43.93005586862315,41.020020896933254,46.22409938913006,44.388562648492005,47.54882091208865,49.13788114218818,46.19939211277011,47.227140583061846,46.03332872031049,47.1948711351152,48.77896251379565,44.759399960691226,46.31299326730809,44.91095700012046,42.119893835455734,45.56398353957073,42.576524429814306,39.30936615298017,42.336797052734,44.01802272637158,39.32327863704285,38.75052677689543,42.67594605878271,42.24909287991275,37.379041894013426,39.72604307284475,41.859998481114744,37.740516501228306,36.49127860918196,41.19506490361067,41.898854260015504,45.9016401656545,47.89331134167036,47.152892149072414,49.54128449324165,54.18526611870648,56.685931925373126,58.78246011113085,58.18265141386749,56.82063055335544,57.863743384590926,54.2972884190025,58.71936004188595,58.95641595386334,53.07786502998347,54.79154066894574,59.30047339854423,56.16835657658082,53.028431799622425,55.45348731012753,57.20726839931471,53.36291177567741,50.45577904072001,48.1678769210889,47.83086050599275,50.79427799136556,49.85328155860161,49.98254384319233,51.71217436585555,47.65783488591533,46.010257180481965,47.94386050394338,46.091722495157065,41.8816980746543,43.07362924960266,43.59524602657306,40.69317657406964,40.03235403651553,44.862872393758806,43.732622056622894,39.61711605716071,43.32262490843816,47.06472248703777,47.376563116516735,49.669921596097645,48.38579373073825,52.71949936168468,52.21269169352473,47.23570263060148,50.51035553942085,53.17367975537214,50.55656086815819,48.906895814801665,54.86103315333792,54.851484009570974,49.874695997324864,51.488840026019254,56.69640520103785,55.44561737736316,51.77834026709444,47.308815262496516,51.68257104720368,47.76871915906509,48.31561517108364,42.974247915173585,41.828871327699254,37.12237790292205,38.07062100224014,39.58297562878049,42.98062634871707,42.556431624264114,43.075647287966966,37.96915818045528,39.37885490697777,34.21242118657736,33.96407018597689,35.18470375288763,36.82897817597711,33.58262145663005,30.955669953692972,33.34950573602577,31.785418154982963,27.07614793903454,28.96455672872661,31.808978607357375,30.227185050551014,28.72331811868497,27.82076219386362,29.435360785195293],[28.960910941739503,29.143388265844468,29.962159135265047,25.692265832316824,27.359151274793632,23.016034340621463,21.11988682891142,21.71631381332894,16.9111297770043,15.159734249943735,13.506163786016744,16.792502757275898,17.794171748673225,13.327423181730282,15.284800887518722,18.689063617220718,18.819830550762223,20.796003013226326,22.836706129935692,26.646126860412522,28.944045685924447,33.60126955364954,33.64081638258234,33.90938643486219,32.55720198486616,28.005105874331203,27.594954891430362,23.871467705675673,23.352690814993338,23.421758142971676,21.63779858591004,24.27720145346857,25.602772892676143,28.27258139415327,28.150096054955313,26.732681818311704,28.331636455370603,29.34989933716314,30.77710744111058,37.19647001744361,34.33627488459707,32.33439537380975,36.480518587364465,37.80379344782089,38.912419777531156,39.7928490535938,43.60455770135763,42.301536539957,40.289338515512,45.38259654295718,46.99200981267986,47.77628859649233,48.01516732904058,42.000983044253914,44.84614008221024,46.88878076139645,43.31314942261256,40.3681975784245,43.688855321393206,45.23427344914188,39.70693708309411,39.20235072317142,36.47306578921192,37.63984701700429,36.50005106623576,33.264425822102154,28.578202170563745,25.3447786569978,21.767231648834596,18.27834830250379,17.1646994134146,17.331832632893693,19.628553491130898,24.144827685891414,24.308044869649475,29.93970746479276,31.222980322305233,33.50832652597689,34.33840098253663,37.098548953377325,36.61249268227002,38.27885074137796,37.22172010240914,39.46494743475156,36.93753180788603,33.5997250459679,33.047275020100244,33.02931407350466,30.552649950684035,31.744446100597788,27.962285601846897,28.648303270514017,25.15262332350613,23.92755225788656,20.18735400823809,18.519074794938824,15.296840232926108,20.87562756804258,20.808920438632278,24.57977169364818,26.221388016977926,29.28217359493236,30.239722860340542,31.918991501451483,36.39276944959833,33.92665493540337,38.07856355847027,39.01184801018884,36.34510782709217,34.228006265900696,30.36831099511851,28.117588468971835,23.52516655326396,23.52077217771547,19.453215049791396,20.357315987804917,20.373929149728973,22.02254061604523,21.685897936358597,18.985000548010863,16.55706571239567,15.257326046584746,17.31641342393459,17.928037743145907,18.658767092793315,23.73356218385902,26.33868678340621,28.657594371818824,32.2782246784004,34.951827220218526,37.27850302993185,41.11282791713527,40.80598289040965,39.59982228196313,36.633021318972986,32.09108200424841,33.28368042157244,29.62921462813088,26.99145189650711,27.16984024313341,27.695933473784894,30.394043862712834,27.199708694956044,26.026715743269474,28.499036376453933,25.755048658182957,24.369842562169016,23.483721439442412,25.198233576105416,22.382341325794123,25.788216283488772,22.886363819554678,27.056051692252304,25.60023172648252,23.985530569092,25.30161200859844,23.25462315732175,26.71274317831939,25.18055851813533,28.91378440335176,29.442875909445544,28.640219616562458,29.11035036912127,32.459107611363684,35.51855032517779,34.774025684565956,38.365089720870074,40.822364281021805,39.79889386654042,35.66507641934081,35.74518808726853,32.351353279955475,34.2718913150997,34.042315277334914,33.221849762832704,33.822707119071566,30.048190881252086,35.367870164174626,35.77571359764946,38.04169620166593,37.67718337433565,35.83972286142717,40.95133404256805,43.59067433843542,40.56994763008981,41.3719781458655,38.50810739249707,43.59218130402312,41.441226750081526,44.65413735452266,46.135365274651704,43.30552613922894,44.254289878674875,43.097392176919264,44.34629326776754,45.953795384195494,41.93449502859496,43.69149092030574,42.34575851669617,39.79962460661671,43.39544423989484,40.674137112953375,37.21487298151996,40.11826802418263,42.11441560606441,37.51542333326366,36.53314008793861,40.68818592827557,40.711251767102254,35.659951363223726,37.899719937379444,40.317607022139136,36.40177844381678,34.860143228676044,39.57349427303573,39.987327241578775,44.31706081907335,45.749705034721984,45.135711339486136,47.75926792885015,52.29733085375677,55.04155637451202,56.956006723801075,56.509739739709474,55.02978105958728,56.11036317794427,52.528547657323706,56.81473106669742,56.94392711687217,50.95242989651051,52.68576955406732,57.03713740966552,53.780407750876854,50.617480779817406,52.9525583236248,54.55683695875092,50.72164125738125,47.73620783456167,45.67019644496931,45.5486583948872,48.652666569357024,47.95710945047538,48.313123849012946,50.339338567218,46.296871227600256,44.35981235611388,46.58185489269395,45.005181732505314,40.575422572754434,41.65456915479177,42.56698963123966,39.78996526529042,38.81949064767339,43.76318216290438,42.93786551301127,38.76814913051137,42.20760483424816,46.035347587855924,46.05915092156823,48.33694870505846,46.91004870519604,51.15050030406968,50.65067571886688,45.478552351377594,48.63821071584047,51.24212196168708,48.57669114284251,46.71092851153343,52.65856982644145,52.599215886634994,47.49208939842277,48.98621963820833,54.2191690927239,52.92656576768923,49.17549168537796,44.70625877545483,48.9773506506117,45.05079696534112,45.903284590067614,40.50240346487858,39.5058696456659,34.9014520810425,35.54306908515807,36.92362385807694,40.18766208965562,39.73067592687227,40.502638487004354,35.38259634444707,36.87498005426235,31.678093438835504,31.835781940757705,33.40654686780193,35.33567624683273,32.30419772857935,29.280382271710163,31.86430088360729,30.753551137181738,25.684960450392882,27.449781483759836,30.753661575105937,29.61781324895725,28.185262711545384,27.461273519130053,29.301929135043316],[32.308213664920686,32.12935480467673,32.612077758854,27.785286483216904,29.276730732039162,26.015196936436936,23.920077993528352,25.1946939716135,20.630047651368255,18.027625250741174,16.928317835326805,20.734477242632167,20.342179715436686,15.468232240578754,17.499768505694924,20.756420093795867,19.789099584504594,21.022917593648454,21.688489550813983,26.023489744120393,27.602639889858764,32.329077630361965,31.7599072371063,31.623079542886536,30.837615858121968,26.369941112379664,26.69704948567501,23.505499837667948,23.817922453955454,24.91372006844881,23.072122767431374,26.587620175056635,28.134240468278307,30.08014607376247,29.74551066897742,27.633931832119366,29.846091328633584,29.704605226286823,30.83393857997974,37.24330365896162,33.72198183823407,31.511530998191702,35.6366876768684,36.639250461301295,37.16749217801124,37.99745516762247,41.67096202676004,40.84611057406066,39.16761227608134,44.032665042188725,45.8689913704424,46.91657290639146,47.272217212076065,41.51974639313896,44.767831672302876,46.405207180111354,42.453926806954,40.045424733792245,43.45825492104675,44.33131326296032,38.78155020633469,38.56081475547243,36.196702460319585,36.58795441669307,35.31718306989969,32.626850725206516,27.4195154825703,24.911888742143766,20.571580819932823,17.98387768943009,15.947794764489691,15.630890441470234,18.96442183032448,22.95758352428368,24.258176482251766,29.83941187498569,31.183676385011125,34.040916258303156,34.851410744443285,37.36965955726712,37.47447827152513,38.86451896147349,38.564571323344744,40.50439105353632,37.55572251768619,34.500795767452466,33.458853475419176,34.24052652633195,31.043636990459856,32.90690943203986,28.819815580038515,29.382789501732315,26.388610357914953,25.92966881263075,22.455781620758163,21.201437581190405,18.263713550520098,24.06520069524813,24.426900022294078,28.7976328930577,29.47268610535348,32.805950316611465,32.96210848353495,34.82003751552172,38.68403423924374,36.309925926419986,40.61746242535691,41.18354469080188,38.65705605333886,36.90676814488756,32.990454743409856,30.281744368279437,25.927603621845915,24.979809726875004,20.74291805250401,20.621744035767072,20.145011407393632,20.73374564990885,19.862540655884267,18.34788164875933,15.640334081454721,15.35973618496691,16.80873286663933,18.448655941371122,20.198335156917373,24.833663496352347,28.464090885050712,30.32644995750356,34.07188426030457,36.69340937679478,38.65411060859441,42.64946963847265,41.81610905710197,41.0283469072852,37.50710783685242,32.9968935739947,33.960511702263865,29.84339690882716,26.659434391141968,26.829026538171277,26.186872860202538,28.71511483894108,25.857931905457246,25.34794951471513,28.063608649217503,26.070292367993776,24.83968095983213,24.931921895808497,27.21281258914852,25.093868388826973,29.014955855001872,26.81842844145569,31.287472039986515,30.471363023567392,28.64496287051024,29.410041130729486,26.830659018309515,30.03155369441626,27.869704748555268,31.323480945527834,30.859102139916423,29.647926170564617,29.306534515435224,32.69016545634173,35.36312653965891,34.081075091015194,38.10287843877727,40.10549926765995,39.43196910725958,35.22668314218578,35.783366612912225,32.42623212441909,34.71333632853366,34.92194423179557,34.41201196178703,35.617857332035015,31.91872081295058,37.38092351230026,37.0931433621996,39.57940290372895,38.56355769401977,37.417403690961066,42.07906406621958,44.36280687228389,41.0886138780219,41.50672860832076,38.41000177758602,43.14906606663842,40.479022777603035,44.04088118700949,45.550681057619215,43.11611652919096,44.239194851249266,43.392054731112786,44.952921425716106,46.75935943814125,42.89559658752898,45.09259734072059,43.964715892115564,41.85741353235578,45.71252489088787,43.41528966019734,39.72278746832997,42.41940868016725,44.87662065224507,40.46660708503894,38.8533444057625,43.30522341817431,43.96405561416872,38.68627752698403,40.684266095816646,43.44933414023262,39.82874221749379,37.83071705420838,42.43349897464846,42.49106246719258,47.256423482384065,47.87257711509721,47.57405102930407,50.51801189309143,54.91459439303991,57.95090978015791,59.66434303670756,59.46910033543805,57.84587639397176,58.96580497073201,55.36180937977841,59.41249184126359,59.414021639262984,53.28636808142557,54.99429448925616,59.077790393153066,55.652201012055905,52.44945216328653,54.5526264401457,55.92098930596669,52.14911907320388,48.971021382312756,47.40357961280742,47.56039198189843,50.881245166774704,50.61893607512272,51.228723662429545,53.647240793573076,49.58832144254601,47.36144040079139,49.98771733794731,48.70781732959927,44.068709724983435,45.05739346118631,46.41193002043447,43.790800773054514,42.496273034900405,47.516699407943214,47.0073647321871,42.790600388999444,45.89867236183741,49.7998559385179,49.50591779154194,51.784164997610645,50.20471375021477,54.29403209754762,53.78557472872424,48.39578448258808,51.38476732779551,53.865540774338996,51.12499159841423,48.969872960939504,54.85908691173345,54.6686668814597,49.38018292548772,50.68957140445527,55.91257810685083,54.491792757215826,50.60734070016886,46.142713118475974,50.0934420089451,46.079005594798836,47.493294687447175,42.046179920678604,41.474370008570965,37.08992120800925,37.06363570091435,38.30240833787313,41.25366855726936,40.84154503838555,42.15461168573588,37.102724412349275,38.69967365954449,33.53038976462196,34.4042269569735,36.41191642807893,38.70648900344356,35.91910686087324,32.5197139307736,35.311851872424846,34.72548405942764,29.359145320653873,30.899558562743074,34.643299843932326,33.9720631096105,32.62954672725843,32.03418899943872,33.98496258741663],[28.95815650291307,29.42008509104983,30.893422356380878,26.32512347997765,29.03192150314642,24.985864540330468,23.868591451581878,25.174950184794728,20.496863457701075,19.35919542766304,18.370175181442438,21.7322489646274,22.765487662588015,18.224370462757303,20.792990031398062,24.13514610734445,23.81513972528659,25.884955496888313,27.342399413171005,31.41397534116264,33.444782712695655,38.129741849899354,37.84230169241129,37.718227222200646,36.62313966509588,32.06880315350661,31.88482455089845,28.302779804090825,28.331432822174943,28.673246203707293,27.220795024062383,29.83700329295682,31.28655374408405,33.95232480933557,33.74234430919032,32.12791004607813,33.69253611651932,34.33257912245108,35.45597949657756,41.94428921752403,38.64843242153947,36.85952342687458,41.08630284203338,42.06489922456263,42.79468504313929,43.38047979374589,47.22994353618196,46.363504673339094,44.24634098201038,49.13880738748898,51.13113926171689,52.03328017006508,52.50960518551323,46.51523046876434,49.64125831908792,51.68076246417608,47.91542214381112,45.230421643285666,48.71753618636662,49.97123787246977,44.47149279512143,44.201650946068185,41.64546436588108,42.46818072244251,41.21569284042402,38.214682304322515,33.29773101481179,30.389788121663244,26.421489158778872,23.3396676338202,21.767323850457405,21.598145119596065,24.491874516638955,28.816628621206156,29.51980223984434,35.11080715574847,36.479585839028324,38.954530885316146,39.77117140378717,42.4102889031111,42.00829404254392,43.45005562100428,42.46085984198886,44.44609065120548,41.69962977875779,38.64253598928707,38.17058922281559,38.44819268409217,35.893988805556546,37.335413054366725,33.48138534339323,34.06887083453959,30.685347311391553,29.58693587419629,25.88426571688369,24.168744350720775,20.97740047127715,26.48407032612114,26.182152943542395,29.622421898530106,31.58568400418355,34.206381315386096,35.387990349224566,36.5829297347145,40.91632316824676,38.03065934510905,42.015645210173965,42.5749434391326,39.53189770922941,37.81684070609703,33.581427751586396,31.77653462385711,27.134183068694828,27.074048132044627,23.487222255563328,23.89858869522849,24.366851066185554,25.303719628894587,25.434404335095593,23.44301503750382,20.575730111524148,19.341988904154096,20.2960440104651,20.969470478181478,21.605310812352855,26.54374259149561,28.91146881889727,31.67409505077403,35.288117185156125,38.484385066605654,40.171144617016324,44.28336355900177,44.04974565238161,43.3373868042493,39.92569112116505,35.338817140334086,35.73638022356651,32.26397790084111,29.425451161871433,30.2428912691781,30.273468904973242,33.418790579856534,30.718796392354108,29.649963163011325,32.52723332459652,30.223429890394446,28.548293406814484,27.969205170349714,29.544178125542587,26.60420606642258,29.843915770186285,26.99915673991797,31.22041171402381,29.374798655193032,28.441470321972442,30.031741076882827,28.11261962265831,31.33179800825519,30.128288468078136,33.3552993070379,33.63631593197331,33.25723039549455,33.0370882470303,36.740116379746304,39.25032319559522,37.83562656152017,41.5041745783971,43.550878085838264,42.29152705035004,38.16109592611238,38.59162534202156,35.50330343836425,38.035701336061955,38.21241939667962,37.7796460508395,38.59616676583725,35.073316423986164,40.502533821376026,40.68062905991288,42.82849952021727,42.05038355421686,40.074196864833716,45.02520390065176,47.55607101053007,44.45847344690226,45.55200902526012,42.83439956561305,47.73555868698457,45.103246198860354,48.357342478881066,49.57858583029607,46.89538925843155,47.51546781852281,46.23031811191673,47.415709169592716,48.76245475608168,44.52581662121627,46.30642001686636,44.5882098194024,42.407967523751715,45.721501211872955,43.24796799306628,39.65610502216739,41.967985018261444,44.05924684612117,39.45418834407926,37.819123005000066,41.95321563370346,42.29212482147177,36.79990668311969,38.61166848705128,41.06074073149215,37.245292865622474,35.15203822941988,39.58822455227153,40.10149504642333,44.5896342863045,45.888799130128234,45.79370847150114,48.46963463819076,53.20371703234647,55.84165472853376,58.089781985473834,58.06598608624287,56.85890764458416,58.290956705518056,54.99563749121411,59.30259340740624,58.99672413491093,53.04064007055489,55.16757330098233,59.26915422585615,55.71593317098219,52.804459688025844,55.356606179502705,56.422902583070936,52.39879092388707,49.94601682905731,47.72664609763268,48.324016700380135,51.42982741110063,50.592070161620384,51.35346978564276,53.34516702525525,49.59853576130111,47.308755401890146,49.24031796528609,47.992926585873,43.534282419488356,44.05805099877212,44.95402944294756,42.162694676719475,40.784299626431974,45.61733482540328,44.74681072457568,40.287303511294375,43.45460003358147,47.3535769326857,47.37769137078545,50.03775376080199,48.963505389349095,53.14723879011652,52.13871995789379,46.969945829874035,50.487487466614866,52.68336424027639,49.76026409448514,48.209166442688755,54.16799004436136,53.55264922356018,48.42416732307989,50.327741807451986,55.34836320963126,53.586212055065374,49.79124674394334,45.15248068521909,49.054348602883074,44.816935241912375,45.70761428768418,40.33406145609581,39.92693240191033,35.33345963542915,35.43494800075527,37.22300129782222,40.43423784125649,40.4939544076284,41.707076365755675,37.00152107961861,39.081412442471226,33.997565687732404,33.89981416710828,36.1588956923466,37.94940463313473,35.408164055766434,31.889817348524275,33.88300932561905,33.07281190432562,28.212118801789057,28.95278712032813,32.22033469147796,31.442887832922796,30.23404614145342,29.835135502257096,31.712767378847474],[28.588032096445477,28.56076791489376,29.72585500006834,24.58716015760595,27.445907591076878,24.707162575379336,23.786168198410575,26.132254302681094,21.913696847353204,20.465752068386095,20.536374454375117,24.457275063640918,24.305084674851123,19.617502000831717,23.104024434191732,26.156120837663785,24.700117328338866,26.889083040125282,27.459427015314517,31.704104304875933,33.46819655807954,38.021015579368544,37.43489578130951,36.68024630373282,35.73261903071007,31.262555441746198,31.247921778692206,27.976594958356046,28.961860127196225,29.986239184336362,29.52876021960337,32.16756855535077,34.29630669071085,36.753250467016514,35.89985413630714,33.64034935080885,35.14171119409547,34.79799672106269,35.32741350583097,41.808094537287154,37.838202867772246,36.50748400651075,40.825545038868135,41.185824425911285,41.415908821387944,41.521334354183836,45.410022584580126,45.13673664583429,42.81460669667461,47.363093232037585,49.891013075992944,50.94383440412441,51.817824427168055,45.90511313689708,49.49186534106684,51.555833722861045,47.537943579413586,45.32084767904752,49.156039074613226,49.9371144527396,44.63764482147869,45.027840275779766,42.95136395422921,43.365812921382116,41.63838835334373,38.91987649440097,34.00773286918409,31.584754322655066,27.25315235949789,24.96737083878252,22.895924433094944,23.118139838833248,26.527600103530276,30.30732151643429,31.503854176246094,37.35317685156329,38.15331934678957,41.19040440664523,41.538703136361136,43.660419179152605,43.34175509663743,44.16632913885805,43.48408855214395,44.87392494597663,41.68370007421241,39.21227873933097,38.86102803685448,39.906132051329024,37.261571027288234,39.639525785610076,35.81085758668858,36.870970933741006,33.73700052508792,32.912796802400436,28.969628302344418,27.931291667545555,24.41249140792062,29.754338576742395,29.247100656703434,32.965819943718685,34.214758554701646,36.39975029567305,37.12724008816427,37.82706207165538,41.47060348106268,38.26281201622723,42.18694551429419,42.130114352698904,38.95899337645602,37.87341021862268,33.38167959375225,31.555136548566637,27.162053781725607,26.40670227054504,23.29846398447947,22.782489153157186,23.60940404490993,23.53618853291251,24.423501700537482,23.44060715021176,20.098064324001868,19.07661757711696,18.62481700744978,19.657386597605235,20.73986646964264,25.09315252449872,27.979723170007457,30.608203778286374,34.23953747319429,37.74146917383813,38.6635051227618,43.04108078156774,42.52346170308587,42.49907053316254,38.41634821512152,33.888519978876,33.54009461772102,30.025692189522175,26.86426034707185,28.215543601376712,27.503434002077594,31.027936270121018,29.015924932971874,28.14813843609788,31.468471631090644,29.9496027133253,27.997763478590613,28.17965604641302,29.88303492288439,27.38913153838216,30.882818738848417,28.876882829756465,33.4921388285401,32.3750944180665,31.68678012842434,32.71575652962899,30.303684543445716,32.96324283551741,31.607536188300788,33.99726736380016,33.37858361995668,33.310003718998175,31.979362515509735,36.03346078174687,37.73594909071975,35.504613325182284,39.31354436195758,40.804006726299065,39.49144372116249,35.401709625330156,36.311410641354385,33.563933512061595,36.78419016127718,37.57906117704444,37.74994546956593,39.142936565994056,36.05770418320096,41.6797126710532,41.140692574594766,43.20196033223729,41.596961278492465,39.84912287418692,44.31642746410005,46.52569243785872,43.26992947695379,44.54531000151216,42.00721216879849,46.53353444930541,43.2614563658734,46.56286589296489,47.48642844306896,45.1002682475247,45.45011602518258,44.20120978714986,45.47920318772888,46.725102632679665,42.475674566227646,44.55657743924861,42.79510627046687,41.21293910372758,44.5635600351083,42.653033055007306,38.8034455839505,40.60052047855643,43.174274825438204,38.82045714502055,36.29437636172886,40.67920821598864,41.84031366827811,36.018020599214935,37.41433826688025,40.260666200997605,36.89776925556453,34.16110024372859,38.36106688819394,38.44482157987394,43.43540479307055,43.75306685186364,44.113128539045235,47.1390547796907,51.72584965610442,54.65973365418109,56.74827535004199,57.14095393105221,55.886171306171164,57.50449752020431,54.34721838905582,58.403627155577496,57.755160942503714,51.72030871923893,54.01491859909445,57.715169979573176,53.88289842869898,51.08645854542103,53.55621362800304,54.13143829669633,50.08741078255506,47.79057461287454,45.89482756456103,47.13543788143292,50.40320605952753,49.89050148435814,51.138861171627994,53.51493111351014,49.95781226870051,47.155300141342416,49.35404144990466,48.64768776299376,43.95550793333266,44.08626840306917,45.516500827537584,42.953464159321086,41.00634355283044,45.85422622128726,45.41814334510307,40.86330525447604,43.46376938874816,47.44196721833443,47.041465069569625,49.79350618374789,48.67247078597991,52.6285390905442,51.43102405781613,46.052538814584125,49.49067265942937,51.383604410525784,48.31450182631161,46.592656610838254,52.45616746000221,51.51577833354079,46.24054375880616,48.11410108379936,53.0080643183947,50.97689336060716,47.07139157144189,42.418985009345555,45.90073868426632,41.53701427324522,42.959249490121664,37.59291528947375,37.75130407077017,33.45157362048999,32.741203620372524,34.47538045016836,37.355945251334894,37.631821076469585,39.468981654108376,35.06357762380185,37.50101734228532,32.58280941691398,33.005061708639275,36.012828304732366,38.104175169251214,36.13760409075063,31.988268020290658,33.9310000295996,33.91543838704842,28.846750755182075,28.937171807364518,32.71611040841074,32.73140280861944,31.75870491386347,31.71275018261791,33.81451856060764],[26.130467981177066,26.76880664629135,28.843429923864647,24.184477936452833,27.954294277871266,24.376181919722946,24.238497213927275,26.319279734519693,22.100380694745272,21.815036796824153,21.734186469284012,25.106116943670667,26.1367729473898,21.83172065212411,25.318842748843316,28.439374093317255,27.693975058581557,30.3415482904975,31.666362577754306,35.68170688495145,37.827818598783445,42.390653733014815,42.09675137757786,41.548489697663605,40.32990779807012,35.78397220043244,35.37152866921546,31.77134984050011,32.28684898043173,32.63590508241448,32.19052581554514,34.22223328104486,36.12657533150278,39.09098298694699,38.46052887693573,36.69320876996373,37.76987699263421,38.20654877455512,38.893068298817845,45.39793224657111,41.79805962786077,40.632732813797055,44.985894762328684,45.50850498822706,46.03750392556803,46.114564041423854,50.10660026250596,49.619154867702676,47.04483689276867,51.69806226301017,54.173227473358764,55.07087283785758,55.921455458160324,49.82289081850816,53.18542523097417,55.53369356452027,51.727462135993555,49.186166214120966,52.978339543624735,54.16340736758388,48.84999461152833,49.03523495504028,46.70180056091914,47.53511980128515,45.93492795604078,42.91494438810332,38.19917912744481,35.37010090734512,31.370542415851087,28.550354210713966,26.887713777653133,27.107700127733192,30.126371681401626,34.27708132225192,34.9538208484119,40.769897593555235,41.7055243789381,44.353574661224286,44.80543386672154,47.13060696921359,46.43323555130211,47.44178689081929,46.19861965403968,47.76008667171796,44.84611367992082,42.2355162028308,42.250137586467616,42.75129301102099,40.57827106938563,42.449199159942665,38.781715310572444,39.76766279668075,36.325268921499486,35.03037311787538,31.0166234189659,29.578901676690883,26.021012605769357,31.109330781723024,30.211874533572157,33.16769431363076,35.41797764245702,37.15549610659435,38.693600784783115,39.01935416779033,43.11741938309445,39.647370677596356,43.29535194853961,43.37802075779587,39.882203587089435,38.694538815526485,34.09326570908468,32.98977400970709,28.428797336254906,28.507469404368305,25.804225752385687,25.922776638726813,27.22880354481728,27.71456966984143,28.963791500219227,27.357950303058896,24.116792120741366,22.497127576696517,22.216930024829594,22.462276927983712,22.59625900765298,27.16207431203393,28.873327884828683,32.16113823605155,35.61599696226065,39.4212909098617,40.31721141888007,44.66121043911351,44.681330518807215,44.53384783521307,40.75804339691001,36.22319482737049,35.66031855206395,32.715687049287865,29.982062477905828,31.600485348399207,31.621432220573,35.39418138645128,33.28240149766507,31.98249632745936,35.23161075504282,33.28657001820219,31.14528376064433,30.66276645688742,31.81587551247453,28.69495270564184,31.557619273470447,28.96105361124046,33.21363853409641,31.235570070361817,31.196299413776284,32.88729738257327,31.085801062158488,33.816231261547934,33.190568722463915,35.57376654383976,35.718335675198915,36.14964171725081,35.23031158419125,39.361584881884625,41.164911013436374,39.1102659884098,42.57012387043889,44.24498243826005,42.520874243166126,38.533171844228015,39.19080432313919,36.58386496126588,39.739901484467026,40.33241574877757,40.39681487866745,41.354111069456664,38.317042042057764,43.82062032044221,43.78955091365976,45.61516796060123,44.40587683136968,42.01279409069688,46.774099400765664,49.23344391405181,46.17748001513577,47.88806174916497,45.590104327660654,50.3176385281739,47.281463551905034,50.31921668918665,51.108886810712214,48.467504349259634,48.51573150357296,46.93729604159702,47.891708147107686,48.80101236588062,44.31068196028196,45.963944162337846,43.7689429612225,42.00122837446621,44.87308913279725,42.715515729067384,39.05557298422747,40.63633699703226,42.77178078347513,38.25957126504104,35.94780290239083,39.95248030612695,40.66007249807912,34.80078069307815,36.10431289846265,38.56658087117839,34.98940876880699,32.32771651799109,36.37955453856227,36.9476907178192,41.545667273738545,42.658370174244446,43.08218951035552,45.77927464401348,50.64540588995942,53.16704827798234,55.71723755892328,56.15394987875487,55.254900981968696,57.07196257977847,54.15189426506238,58.442149975551274,57.63127920541219,51.796826913307726,54.36725406036288,58.15197410322649,54.313563097072745,51.74386887442828,54.57072963728224,55.026009141670016,50.81943046222434,49.082318701089406,46.604102060303774,48.022318684972724,51.05209081613495,50.013522586666795,51.26126927997266,53.19875690010227,49.877073629180494,47.16117045836408,48.73140299735762,47.94785064156335,43.494667684628496,43.33234162209761,44.271792602058085,41.556834761792246,39.670661442416524,44.30876020920259,43.499692025018064,38.80932283874014,41.53347870081485,45.45910227473935,45.4080960066429,48.43323130276247,47.742891215542876,51.791103256368125,50.23625462005853,45.12927437830162,48.9856572705548,50.69947101997821,47.53842189124177,46.36717696123021,52.2597865376978,51.05716536362888,45.99416612323514,48.34495173518684,53.06492114864965,50.83805417430372,47.06765566530712,42.320771456069416,45.83684019453986,41.36266296502703,42.18839284656194,36.94099478643189,37.10214380502529,32.61862244267487,32.22019006788796,34.41277320004486,37.55403512300499,38.16420473585039,39.732536290511696,35.60460447930347,38.30237310555493,33.49922328068531,33.01288068492169,36.00458165275546,37.59792051695313,35.746993779308625,31.707099383584065,32.97018151955406,32.627898207428004,28.124874972028,27.659362869408284,30.866597711079987,30.668615570416776,29.798932306494624,29.86761079378143,31.825839047766504],[24.998646280159875,25.04933763871669,26.709118940373628,21.598426768767325,25.45786321654009,23.222524280327754,23.311374340566143,26.295452356616835,22.663871273270225,22.189251301121274,23.05119649251156,26.784310925802647,26.815891372006927,22.597984757567865,26.813689687163397,29.59982706023228,27.972338416068798,30.825464213259284,31.58392359476784,35.56120467189969,37.60348203358055,41.95538048799495,41.545200647174944,40.489570591543995,39.25510589588188,34.841151101817196,34.3974567140026,31.046990180572507,32.30711566221133,33.112101084419606,33.672394138010276,35.533721156784715,38.05808710222698,40.91246628525681,39.67364574478177,37.422032665206295,38.2897762568029,37.978167088236546,38.12253215015366,44.532863196461896,40.46199118678436,39.84107411305547,44.24006251203414,44.21135687304646,44.396782508653565,43.99137544131674,48.02471909625253,48.00583718380422,45.14450788018732,49.46105499540869,52.401802584911636,53.369767277830704,54.595326521530666,48.561663379472485,52.26534358328616,54.73197272793432,50.79891221374181,48.61613328105852,52.71541159008362,53.58876600494838,48.532839006244245,49.32609599376634,47.40717410013715,48.03452383536611,45.98861107120095,43.12897276608257,38.61530225608975,36.11352882939463,32.00670156830988,29.78753817262752,27.890009336173808,28.60303760689867,31.827662254459405,35.53321873599517,36.40204838097822,42.452009081005336,42.7691086989541,45.83553624868955,45.798227298935565,47.62625997997684,46.87452801768953,47.29992124650709,46.21203882747696,47.21019194912504,43.96958502174206,41.927887367884665,42.18211885140656,43.28029153566844,41.2047480098881,43.8650231058203,40.327004317474696,41.82687787427686,38.551929447815354,37.39200220275061,33.13519172036517,32.32214525245136,28.458200853320577,33.26930823727841,32.1319938276088,35.26578281860524,36.86612970218526,38.109549459099526,39.273755693778355,39.066992175762756,42.50117191323338,38.73639057381436,42.249821226523565,41.75891270782695,38.159399913664984,37.57832606814459,32.80285671322058,31.77133821094347,27.54104202175584,27.083962634522386,25.01012997089582,24.417641839372333,26.17017093390743,25.908189854877936,28.025233779765895,27.137434796657807,23.621089326998053,22.04071331711655,20.525365631312408,20.837587024771864,21.168141455846584,25.029275694725957,27.01651310291353,30.173005317128183,33.553634678690926,37.62407782419014,37.78557216046893,42.31999408254394,42.15196552410806,42.63058159141749,38.326670016560996,33.919474015389866,32.629138319978544,29.820485829637946,26.96653686128047,29.120476019808844,28.719223495954203,32.853621010915646,31.395056160193818,30.14163917197905,33.703668294735216,32.41087730675411,30.002226137430398,30.08704533893517,31.228248167461715,28.52089668619049,31.49656081855913,29.729874718146565,34.26751177178262,33.06021509832353,33.22458960084957,34.3480596576791,32.13807514475694,34.288043199121894,33.60784903425198,35.1443625403102,34.554195186403156,35.386089915165954,33.53623533012643,37.9452409114374,38.982408390594024,36.25594898997291,39.68807319638736,40.886985866278266,39.027443373712345,35.15828850486121,36.180525387127986,33.969372501544804,37.69840765835848,38.81827925923986,39.43527510531801,40.84494800199463,38.28559147269763,43.883214874456826,43.25714478469539,44.92522688940074,43.019102869803625,40.74411951659921,45.04084339794983,47.221290556992386,44.09449318285215,46.07027427762269,44.04554331403014,48.42541822562868,44.90649681582307,47.85818884387747,48.323086013875425,45.909258578132956,45.62912689532102,44.02631893421724,44.993212952497124,45.747770895720315,41.25547334324663,43.11727508030547,40.86646257448949,39.658246056187096,42.51409582437941,40.898004626938665,37.04413160137622,38.12151079282125,40.68552056262801,36.463734316709264,33.34327776083134,37.547074081875984,39.03835768488077,32.94839794445213,33.85521518468749,36.698170959740224,33.616000006495945,30.382831756100938,34.18864767928203,34.29202059794311,39.355581898807465,39.48801690482104,40.30250061308697,43.3260947827629,48.00239276186354,50.82038399302068,53.16441109576879,53.96527518898858,53.003838917757946,54.970997038723006,52.18869246931806,56.221998462419315,55.10654988992406,49.231936289620315,51.941664442866134,55.34392533530052,51.275542590744536,48.829842244223926,51.581426593215575,51.59239394915454,47.38572566381172,45.830987184924425,43.62654363176032,45.632515535106606,48.77391123242813,48.02941390090562,49.721615477936936,52.0055148228476,48.88799277830695,45.713569263970655,47.529204934499596,47.26539729450772,42.62865253965524,42.10551687811078,43.56817832202946,41.112405575364306,38.70576294474026,43.32454043004775,42.9753273679383,38.27056084782057,40.41186818146672,44.37901134544469,43.890747889516554,46.94618639260891,46.184387558634405,49.98625962937828,48.29622989164358,43.015287725926484,46.74622667250729,48.18343724733586,44.91756146836005,43.575724640367845,49.344963679761385,47.8748994689054,42.70015940801132,45.00167342127272,49.58946645979115,47.148873371557,43.294857726342656,38.563661956053835,41.708570635758434,37.15334941249213,38.46440235221699,33.23911724540677,33.89850152431275,29.741933495010972,28.58826584893434,30.699002327374757,33.521225083383634,34.32186519846014,36.430805857854956,32.63572046990521,35.645940926342135,31.081615070484272,31.04886587555272,34.70126197313317,36.5560916908931,35.281235964153296,30.71360172975751,31.920255402964855,32.362411571358834,27.73667688809374,26.685448454735543,30.36248571131362,30.953265747406203,30.324422813442826,30.720997566162623,32.879030385130164],[23.853229451303854,24.27388063724152,26.70098209190699,22.045953110869362,26.87211482121645,24.945306461131935,26.010214862700504,29.21863014669351,26.09338738047404,26.472738086408416,27.635174349194294,31.0344161196998,31.468715764513917,27.633065202779264,32.05914145884677,34.72638977768345,33.19175738990486,36.364358811915245,37.27225689078266,41.09734608434353,43.26932065547735,47.511231058455266,47.178220137660254,45.9722541258453,44.62733187523449,40.27652312377619,39.6182962989229,36.2432041210328,37.5621287366002,38.13847149946028,39.124019097390835,40.51162030555947,43.12585189959155,46.257096681845354,44.9192530462733,42.78553101347958,43.27168707311139,43.11316655432214,43.073973311865146,49.39054636830439,45.3259666412459,45.108305061103465,49.52224125329746,49.28567679300357,49.433304815403204,48.71547333047169,52.79902278714601,52.95937346304192,49.789866489319465,53.915504992591934,57.1114799185409,58.01563784433455,59.457179631159086,53.37769796896913,57.108462862105796,59.817448892382224,55.9640813456637,53.78987330626393,58.00474025824282,58.952208058768626,54.03798067595071,54.99737529929212,53.12214854691268,53.86891144594003,51.70904878199606,48.78068480028489,44.4513812637272,41.89207118515616,37.90510289083723,35.64932363988523,33.852526222452454,34.646301716291596,37.80038830423678,41.536133159775616,42.25016398346557,48.34410277815495,48.52925550648573,51.532993204320476,51.36586612656876,53.09215879780804,52.07754556950642,52.32762329447277,50.929769040240814,51.725426653583575,48.524992550791104,46.72694608013964,47.35430891087737,48.37983258617397,46.66420647084211,49.33519135042775,45.95208943916265,47.57519743814736,44.191383421865396,42.80688215916602,38.44685532847894,37.597984915040115,33.64298009388385,38.14088394866609,36.632225183314404,39.19741350533659,41.265642810399406,41.858294512748856,43.47575939712834,42.642302256089735,46.00515809177803,41.863851700428384,44.96131924528416,44.1889437464929,40.251642677950464,40.042876757063745,35.14210316197173,34.882546843305974,30.847550839028546,30.772506395727824,29.445003643786887,28.924202673720828,31.17582568302074,30.85382422752059,33.53804122214681,32.670422356664915,29.140316002059926,27.298155020502165,25.35168672489062,25.177599123914423,24.892000685764774,28.29143414035134,29.297689034804307,32.887770286439206,35.94299937469057,40.413269435866646,39.97032362846139,44.53864390257594,44.740831326230555,45.58084387390283,41.231821992762015,37.01132721955159,34.98532310261851,32.88768881072207,30.391466296646485,33.062345700490205,32.88583763976956,37.3234874150796,36.23959673987996,34.774322500286274,38.413534629877866,37.22458668525448,34.58085060547557,34.50341707207933,35.18684788600502,32.27434872519367,34.68858604064738,32.94238806396914,37.20449286667402,35.65713101447769,36.553012431760756,37.93432014139096,36.06443269893102,37.90531825334268,37.8154684922351,38.82428965748348,38.420686609412094,39.86963944808046,37.7934686529775,42.361439257926556,42.959557393924136,39.93414384634459,43.00896033112826,43.95676118173327,41.67073972150154,38.07385568296878,39.153574642429746,37.41247381257517,41.42493843723894,42.72091102789449,43.59743384834922,44.918556719200275,42.709224353473594,48.20675419983348,47.636923906897735,49.00467428891895,46.9927252303844,44.28967919426444,48.45718371311474,50.6252142831998,47.655677093195045,50.14032046629405,48.4934398584202,52.74961800315921,49.09684310768899,51.771283061295144,51.88744464099396,49.47130626381458,48.69492322326687,46.80907374550799,47.47491612197009,47.762424244712236,43.10621159360335,44.676209107231756,41.950329966963565,41.062685026563685,43.312568162579645,41.924795834184515,38.20047299634407,38.54288915338175,40.925385776621404,36.87185535125495,33.32581145606445,37.13072139966104,38.7706735398921,32.554726264304556,32.89657529791743,35.530835567847355,32.7327140669965,29.09202897601506,32.28643631412278,32.59072340698202,37.49316027748042,37.6728748397248,39.0177760737092,41.88479541929089,46.68211200790031,49.20380002767192,51.94413752863291,53.17047992895116,52.61472586012598,54.949750686208155,52.61174652608579,56.63998280123876,55.05715665008067,49.45754463893484,52.58586308786725,55.68825290452869,51.43836577007387,49.410936458631895,52.45834857342318,51.90273546629858,47.56389237145942,46.850172321136,44.28970630725991,46.993850958719996,49.92626957155928,48.859794428938564,50.911597941206566,52.96358331326297,50.31675783693847,46.90735028678519,48.182179949505716,48.26885435519155,43.829597997745175,42.67044099293608,43.9673549542742,41.5931986271998,38.8564430606194,43.101164041867335,42.69254840076434,37.886439458883615,39.59832285959299,43.46639307123976,43.03409038711327,46.43607669644125,46.16874617755735,49.802458755070084,47.54329534275931,42.52690942659755,46.60948793988331,47.523417608351465,44.07599172408787,43.295673643004214,48.88846618143567,46.81379929070856,41.87889491319106,44.703078102938214,48.86137739880314,45.95776912032177,42.247552068209586,37.49486258295818,40.174918638789535,35.44113581313688,36.4663748109681,31.564524712803394,32.81500394831478,28.895001440801742,27.342407009520944,29.937188275332787,32.65208005016531,34.09335311644225,36.38965006507006,33.36897797894245,36.88088302913321,32.784247352134635,32.13842357228228,36.22289738876029,37.68689597651918,37.02850327941536,32.299803424028006,32.633907318266324,33.329023766176334,29.414985169485007,27.2689973102751,30.48895540121228,31.462369315172555,31.16432699433731,31.902519447725066,33.96778899446181],[21.370590300653326,21.07951531465215,22.758629479546254,17.731141715712287,22.208480680879074,21.095997798649663,22.062574095601132,25.718479040064466,23.0409645271336,23.250813826013076,24.99918623699381,28.516971439645204,28.292728814764946,24.73362595873549,29.531825664009553,31.86950122999912,29.90654818547572,33.30142894244009,34.14284096275425,37.71920732874719,40.01430888037593,44.039155978063334,43.858749660118995,42.49680105449939,40.92315778051691,36.6763591140557,35.76774204428735,32.47175662613978,34.077717656998395,34.77025555208904,36.51454885017675,37.590602254714696,40.614078029872296,43.71580827761874,41.950795634422505,39.62006078222769,39.828496966061316,39.37460966344643,39.04613617065133,45.22593739585422,41.09096989193895,41.27646994973481,45.67725211282164,45.20192771246362,45.358909400233046,44.408512343445885,48.54026140838916,48.76378240702557,45.350248550444796,49.349135513122526,52.68612578765936,53.55054508281426,55.15076440490819,49.07548482848331,52.87806131949785,55.74982667070124,51.95614065620614,49.87143063366801,54.229636790529675,55.165721020590084,50.46855802062939,51.76431331241438,50.104941083496904,50.94885579976319,48.51460079000066,45.547022287756,41.591803450754384,39.089563911786456,35.31170511179111,33.31632256570188,31.616854512804757,32.95173863410537,35.916303549969946,39.39099397352898,39.90247108799988,46.128690445530225,45.77316778524261,48.92410576037228,48.3674294595216,49.75802832090194,48.574447097151825,48.474387638439175,47.05972965726203,47.539679626338405,44.24411266538993,42.77024472023945,43.649202279874146,44.91611389238441,43.450600418397656,46.54648077880627,43.38910240691423,45.46074462964488,42.15388628221862,40.75201750065827,36.23035818158057,35.87923384658429,31.72976337945428,35.84227981975991,34.150884841750454,36.82488158947715,38.3535081807869,38.62148909415865,39.95150879334378,38.820325644177075,41.7631223767306,37.53538586793297,40.582305091525,39.56011140669619,35.668113614024996,35.71917796459891,30.81235612348115,30.49160894542613,26.711189255370023,26.361779556791397,25.479220571842077,24.7001488414358,27.28041073208716,26.79166884538625,30.115138181654356,29.403146601636305,25.86584236077468,23.883197383370316,21.33921215896755,20.9700805057381,20.662237269889218,23.592087971623297,24.767205647937416,28.172152000580635,31.18597562534876,35.68700923780051,35.00038372271522,39.610751015231564,39.706060281043676,40.7539828998084,36.24341834533007,32.10508565514161,29.86590640988863,27.850920843191133,25.43238946888495,28.3092697166745,28.264005230331787,32.86797010439877,32.0304125451404,30.421389635708238,34.11309325887387,33.17273433279182,30.38565143555114,30.51041348751845,31.117257256925733,28.503350918806568,30.976740751193628,29.831378748085275,34.261453053041556,33.439778388359585,34.278098228222845,35.147251589859444,32.986470372014765,34.42442633675318,34.28292554811731,34.77173266018064,34.00406093449278,35.71044689146827,33.26340119514775,37.914541903415994,38.18343539201718,35.001786697116934,37.95533263517847,38.82943268246183,36.4616824462425,32.92078134954361,34.03908398210089,32.455955906315445,36.628699541046586,38.11356715446836,39.24114787856088,40.74908655994041,38.853913503666746,44.32391648478052,43.465888960760054,44.706630484639426,42.40522967491657,39.73883854738005,43.6764550461623,45.735296413158785,42.7773175680103,45.420830378031,43.976146197405505,48.09679392986976,44.380536555570124,46.90171554644488,46.88326931790723,44.491794793065885,43.57596624844847,41.66411208042167,42.32715242758076,42.60509440021698,37.98301443552668,39.667619312105174,37.04439856191026,36.324167757598644,38.739316607165236,37.57404281857077,33.72883175699572,34.055427416815185,36.73278806192282,32.81866962907915,29.008720517117013,33.0818974277917,35.123805113627085,28.892147349405942,29.26920475875564,32.25051228702844,29.67629207189351,25.92405110070489,29.291380355655274,29.15158130260834,34.42000891331969,33.981329049784996,35.20810911558679,38.34301980766566,42.93752981851756,45.80451365865965,48.17502314394972,49.36221968859032,48.56118824549465,50.795306696759596,48.34877668439936,52.22720640474008,50.69273679423184,44.971854479358086,47.99638901161411,51.027915544790595,46.75841645358501,44.6326145314379,47.55025084745316,47.02346398815724,42.73544355529758,41.820849438707626,39.471697919166694,42.213208370318824,45.245957273417645,44.44298056645417,46.60196194312617,48.93229653278011,46.25513063890103,42.675211189728614,44.299435771298356,44.579873553047726,39.981935486098685,38.854560444187726,40.56806988227053,38.36697666600381,35.45002932579187,39.823898232461815,39.78635642004679,35.09127817039662,36.59037238757871,40.50637518155826,39.73793112862353,42.940118693843544,42.375831358537354,45.917575825736755,43.8834450256828,38.65000015055274,42.464641261456656,43.479557360786764,40.08388769193621,38.93844219290607,44.53716397980119,42.649159814223005,37.54929647282201,40.102234938043274,44.402147296652586,41.65623427644363,37.8427899296244,33.10902194511239,35.92101302952892,31.26619207364346,32.637015345456476,27.54930799956566,28.69574725910904,24.858942272430568,23.126590870631613,25.427337219324965,28.073219759384948,29.296526104993063,31.71762148241047,28.5820773124806,32.068807960136326,28.0109661849884,27.78314008194876,32.07307791025334,33.820684658437855,33.3531843823728,28.39848766428023,29.009039103573873,30.15960105142808,25.97974303854339,23.88109641352479,27.595576369644167,28.990615115207184,28.759963367513656,29.62457488421417,31.851128782069495],[24.06942228552356,23.535859324329767,25.015551357137173,20.091395014885958,24.463702514135576,24.428467280916767,25.532018415231388,29.494396642989603,27.160034928166116,27.195436845178275,29.17211671526195,32.787845520741755,32.12527296254862,28.593920152348723,33.46048554825993,35.67734783530127,33.31241106287637,36.554389599108355,36.880355559059446,40.48052348780498,42.507498154988895,46.378428843009516,45.97855734192747,44.27398897021948,42.89566844198849,38.84524083259889,38.12844999142492,35.16152040400145,37.20347886568646,38.23772516549297,40.23004334347109,41.41731134297619,44.61173461021626,47.53398661191461,45.5775672097762,42.985487832849586,43.238796129717414,42.27414030920258,41.64235979347001,47.659163631521686,43.20031793283523,43.617837312736704,47.954908210502346,47.117392158417424,46.914048699987504,45.66657192757037,49.7061641741836,50.35628290762571,46.914887941845556,50.55992083991028,54.210724928771384,55.17399917157942,57.00444503005987,51.111052030513854,55.141356720344405,57.94740779458145,54.03900119095644,52.29300546276392,56.76982317511898,57.377027977534844,52.853999621797264,54.465993663013975,53.07270220168382,53.623195564747896,51.01549955437979,48.2994424824707,44.34778851054707,42.176775308307576,38.259928895869706,36.67071331599491,34.75626749035643,36.06257141696388,39.250224224462144,42.437919286730164,43.26391769431854,49.472597526028686,48.96400515346935,52.34529912305885,51.640142645851626,52.78632477352069,51.72388172588529,51.322465043713876,50.14178370849162,50.292633411863555,46.802161764890016,45.686162706036676,46.55876791429217,48.21008042263224,46.647073567515925,50.10702302628222,46.9434690632342,49.09439414309249,45.949523360421324,44.734253212225155,40.234311133579915,40.050257330997844,35.91150461461069,40.02149426083331,38.365163107500614,41.14266366593918,42.36235204213595,42.49708085332316,43.57643661609605,42.2514733571438,44.74353781407259,40.4347336269385,43.33014864939361,41.91392765827816,38.02974151776217,38.52905176405581,33.6493722974592,33.389996049119254,29.963959600713974,29.23832977931498,28.686819271226486,27.42725262298101,30.020587935234506,28.93314073764662,32.45167390851122,32.33834466346755,28.76920971597398,27.07965392189861,24.01698760754386,23.89476460892479,23.861395187639445,26.11797780994674,27.459962499813663,30.603642990101104,33.43532305557711,38.00024399253711,36.71517703577858,41.37216084172422,41.291913126904284,42.844848342273536,37.993421149665956,34.09082095028512,31.279752543756686,29.447972909687007,26.972318773442204,30.13819831691118,29.525089168317326,34.18198874158436,33.89541180207087,32.5242706887766,36.32779568693261,35.91083977374629,33.10504762975172,33.66363681887483,34.32918400741082,32.06476257859824,34.55565752850791,33.83129489974221,38.27828915787951,37.7313775670689,38.63779332998885,39.29607204080466,36.98872606700368,38.164220294539234,37.933913815645504,38.00956282497016,36.752160881011754,38.56487329788723,35.53047146560477,40.22640512785728,39.925481494288576,36.22434723842383,39.14848536050128,39.50165892294699,37.11512549222983,33.789111255179144,35.2747162519321,34.08483072680415,38.610761909128875,40.47217383353944,41.94407475783121,43.749334122486104,42.12379030273666,47.57340373691932,46.33622084616118,47.50883625286721,44.75115002473997,42.30259439664369,45.80468687080118,47.584514421491036,44.59794607886383,47.31101137343055,46.02061578761728,49.7774933242661,45.68215644089986,48.17009856716713,47.90489264687674,45.80937877566457,44.67150372643757,42.81491876092743,43.50020613525639,43.62824640875805,39.10810407345003,40.940317342444274,38.28384135425004,38.11760684638044,40.37971045406805,39.707748567483506,35.836934365441564,35.62258048036871,38.5426780457941,34.99441008822365,30.57553843574713,34.58368023454824,37.20697998453981,30.975859833074228,30.871873537531332,33.98272179692411,31.92836254028527,27.79235789889658,30.61458556746632,30.164357252740544,35.60629138347404,34.334202874327644,36.076853445311805,39.36959388287484,43.75295755268273,46.71324946008601,49.01672520497937,50.60676244157604,49.87183656689127,52.275509109514275,50.06013379067229,53.678521431403425,51.823842800673944,46.21084863201444,49.377867011270936,51.98412736631783,47.53314130655752,45.630035554879576,48.47040053505125,47.434436232947704,43.19553004084024,42.60444662895852,40.525378058901644,43.822989456823926,46.86864424304869,46.27166944362228,48.77846709334578,51.28276977765127,48.84843649556404,44.98768809624969,46.66642803159793,47.33710527016858,42.742104675893714,41.299314606119204,43.27623238209767,41.28923426908315,38.06133119092455,42.2328577398537,42.45760705561734,37.832312956783795,38.82532376095851,42.65252483357656,41.62551247615933,44.88171571530781,44.39877619618232,47.66130794284491,45.41541806130295,40.2231556504627,43.94504527112049,44.58586659666391,41.11580626048149,39.99039084689847,45.32881173857055,43.06380145177898,38.02085743122237,40.60535944568532,44.59428555228127,41.541569941525104,37.74637041585199,33.12548565145944,35.2960284038916,30.572742872109608,32.377846551129736,27.584012882082583,29.4240365727034,26.13569197820149,23.577381089050895,25.83778020103556,27.975806793737146,29.55732772963875,32.52788532692408,29.980486888221375,33.6990822444109,30.055128048177707,30.130092579159562,34.79412570200546,36.608988289957594,36.58569708445839,31.45892048135592,31.878102097528313,33.48349640761191,29.491699349524268,26.990624419561176,30.702783777275382,32.51629031718256,32.445364902344885,33.43377355603828,35.64645992143141],[21.66070037352837,20.85682812087624,22.231235465165845,17.66149548278583,22.229862840255304,22.87628085625611,24.48057915093438,28.642305019927697,26.94770486001904,27.42715654596256,29.801170789185498,33.16253759972306,32.464765179397524,29.432052800067318,34.496400847899764,36.42801330655077,34.02867537054291,37.59006101823454,38.1406914290878,41.406141887539114,43.66471804446997,47.31657891244425,47.159968098005194,45.39641329954131,43.730710133804166,39.79367461454749,38.708290483320596,35.73381930835271,37.81400325093152,38.64783910551827,41.287499559893085,41.92399702144135,45.345951684278134,48.445206827529084,46.22512657527467,43.69759672063322,43.49829960231302,42.61338375392619,41.76763692088838,47.58157491892026,43.25427883548913,44.14926872476741,48.44719965550802,47.43453753476311,47.3435984978331,45.82787021263345,49.918972461498285,50.58122125475269,46.79172710499682,50.283085206078205,54.073679755871964,54.91698712066137,56.91990236992262,50.99833692087181,54.97287019766516,58.059182278745986,54.33366013485715,52.55877806059241,57.12626801822486,57.887783510544566,53.59990738551841,55.432012970162575,54.13597329985831,54.933380355314924,52.146331322084954,49.29504041684806,45.76115605423367,43.500184854102535,39.89720079390791,38.327844992201236,36.64056810682375,38.31917803050286,41.22928546496455,44.341091557601885,44.81762661524782,51.090188782752264,50.194412070176405,53.52468383483265,52.52693488135781,53.445129307754776,52.060446117738664,51.399837728421915,49.93411019867124,49.821510556190894,46.40188235311097,45.58679414147316,46.877499378341724,48.49936045473094,47.39646290564308,50.99046574634268,48.11119704673423,50.59040665397431,47.39944310361598,45.984872376430104,41.36449426800378,41.42217955898609,37.16312849725276,40.783234833736714,38.80259762360513,41.22380101321186,42.440386787078886,41.971131299157896,43.198272153244105,41.32456555089855,43.540851264398235,39.01199348070632,41.55462216887284,39.87431649458476,35.85724225305671,36.704714505607235,31.85760576656623,32.095944631004315,29.024458176559783,28.49186345155402,28.67640673103324,27.485113441499042,30.518385410902045,29.518180299901296,33.652365622868736,33.442591041976414,29.971956998651457,27.999333573353898,24.60414664353214,23.978386261796018,23.457543628843712,25.098498526886434,25.744718895147926,28.99459122862181,31.499339911058577,36.24640261352011,34.503374380904354,39.10933268104904,39.278129408431944,41.092829126456635,36.27914958202916,32.616196783238394,29.31235605181117,28.118793682007595,26.09959958353831,29.589000936998524,29.443030084279613,34.275610616037774,34.244168359312646,32.585038055097186,36.335330505732216,36.003962778541116,33.02417008183327,33.46591828224406,33.73674635535001,31.520876683733704,33.59893869633761,33.22322001533851,37.48503612104344,37.17014470229262,38.45341642188723,38.96638887249164,36.768015345753355,37.51140259408682,37.659085541524426,37.1349378197271,35.91340329467477,38.26046254439669,35.06167247881218,39.80337981890394,39.13121247273408,35.343711389299514,37.84222371391941,38.10141229112628,35.36659313373051,32.31959454654539,33.730073382383665,32.93934796086643,37.57271195137073,39.547397026098686,41.25250474093111,43.00816333847995,41.792839251675325,47.072284075778605,45.80171141739678,46.67588257231237,43.81449873438084,41.06656275989775,44.36826893045723,46.11214498881659,43.306855247261865,46.448462368708995,45.551484007219926,49.18679354027829,45.12891527964979,47.2721631392832,46.72290992247904,44.57954067599141,43.045930260150215,40.96381820775689,41.39560125518216,41.19434287715805,36.61723214691597,38.2407756672622,35.349500212665795,35.43806451254346,37.360881895785,36.94046274762055,33.16177473711034,32.48906878241727,35.402256721805195,32.097187249971384,27.361196652539075,31.197606610913237,34.10312216392511,27.920654534860937,27.49195577455735,30.641932304290304,28.95670018466165,24.609144611541346,27.10329441974037,26.47378141134316,31.973162083197398,30.368328726223936,32.30893027353691,35.63316417352978,39.93214646881613,42.92267336792964,45.20274711995471,46.971523288421515,46.33077216692734,48.865169594670476,46.859283596476615,50.383882801415126,48.31219511151816,42.83886807630197,46.1697544751738,48.57401080219347,44.05498518840103,42.359138185866726,45.31204430317198,44.00216796558512,39.72753311107231,39.565661963451895,37.3386076586661,41.02084429489436,43.94213332531363,43.269972213557196,46.01107672080301,48.490661895045974,46.34471895582741,42.30500445450235,43.82640241622901,44.79941878424854,40.29785811887124,38.517539802500835,40.61117439262713,38.80950448175736,35.336507212727014,39.300297346249884,39.721084808709904,35.19288397762027,35.781180199247345,39.525201686648,38.33193732381059,41.62062512978633,41.249997855510145,44.33366302826192,41.921599956974426,36.810155152948134,40.54581116768382,40.94717087176498,37.43717477543446,36.452108439220375,41.656554157017524,39.1843001802825,34.2288125983356,36.96509319033486,40.76824570159036,37.5768167638362,33.836233249468,29.23774495422156,31.259008115197815,26.503590196514864,28.275899974436143,23.5911950796791,25.68769479328854,22.676432272404583,19.79873679381866,22.157590517933286,24.184430992138665,26.027741336444652,29.090171871101003,27.024640598570205,30.96884426556013,27.742567597196043,27.620432185854735,32.54099463872505,34.22953116152657,34.69258235216818,29.47815451102732,29.509967176285056,31.504575606508197,27.915557105307197,24.879599383016885,28.49133978114768,30.752219439004918,30.927829401564466,32.16596359630541,34.37499470753372],[21.071566339416435,19.591259721326587,19.959131638620978,14.999177262489901,18.755397905040343,20.202350269940357,21.40786966358749,25.797489512022867,24.42087068371849,24.538992741112942,27.241167172949616,30.664849706027844,29.360663964194046,26.56616521463301,31.71613021992935,33.367871996975865,30.64832364159539,34.23101820131312,34.66979654797114,37.71651364952071,40.00630123489716,43.470427848548205,43.41564988713779,41.580816128902015,39.77484344593395,35.95756892591518,34.733557782771086,31.887785761604754,34.172477044055285,35.15235303028776,38.23810717721254,38.74501852321188,42.39984946113295,45.363670689218544,42.876354150701225,40.19791135928399,39.881183710566056,38.718461654744026,37.682167782333124,43.36117593064098,38.995213662576376,40.11681181341029,44.36514580426996,43.21596525351661,43.137445401033055,41.510895840949395,45.61634645300397,46.28593747237243,42.389538565324244,45.82200529837636,49.65378769585986,50.47491791032213,52.544970505201036,46.65820579308459,50.66663922838215,53.80098049378245,50.11833074756994,48.42075105280268,53.04174107387701,53.77393622909323,49.641620437235744,51.674785885037615,50.54072816512435,51.37261238849663,48.431643735199735,45.59543273797917,42.34428263534515,40.177564602422095,36.76903800168361,35.44744711186896,33.84986465709958,35.86717132634933,38.591263871180814,41.445879809962406,41.80281429408984,48.0724664206538,46.82284700317024,50.242820760193396,48.99961090342953,49.6804749704684,48.24899537351368,47.36767480264458,45.9847098063303,45.670381117104604,42.17759161844586,41.57533204801303,42.95785826530245,44.77906138273531,43.78661261546744,47.66156814098951,44.94463378677451,47.68784076557289,44.622484219800235,43.273418771988354,38.64242971285519,39.065864950083686,34.785467689442775,38.12088800437825,36.13600069283482,38.73892580701866,39.41257003947853,38.873633378487185,39.73086351127611,37.80985862371826,39.67487803078513,35.21102643449929,37.81694010099809,36.00819452475859,32.15151190643763,33.12050058813168,28.34834636104589,28.30548085832207,25.481569010532294,24.577048790800355,25.01642160985539,23.56828677645391,26.71865917019857,25.57147842971067,30.06405748980746,30.004306520895263,26.631690383888817,24.67724328427292,20.91927210732906,20.24556387704366,19.879699793636693,21.036764248809487,22.124772258828607,25.012303485586145,27.548916147306798,32.19091943556404,30.38867554808121,35.03057607435358,34.97734927169797,36.88141308391824,31.92357913421466,28.29647926955257,24.96648809041356,23.657366219140478,21.626829509401546,25.19179412423304,25.08944580270454,29.960089081657863,30.088409219224147,28.38149111330826,32.12084487639828,32.00545980594946,29.001186366270243,29.67605098027242,29.994878961945997,28.149637415204367,30.38816423897122,30.516754936110555,34.90558846589151,35.22637707945986,36.248510654933696,36.3047483107979,33.82986666490456,34.31682486871725,34.25983131402093,33.439166894201755,31.843522699678715,34.23020389587617,30.770400994273423,35.5101880171701,34.65146570367393,30.7925195426883,33.2809588165525,33.53263062821491,30.83757001111761,27.75355177592998,29.206851406190644,28.449830832299575,33.158936495832656,35.25847750589788,37.10963597585557,39.04349193459198,38.00903423289516,43.24658687752795,41.727485247852755,42.576221590097845,39.504333720288635,36.929283196454534,40.04999365816647,41.69667684236824,38.854072135546964,41.97978863109502,41.15296378677638,44.69558286127257,40.61597538849735,42.711140071874,42.14612170658039,40.02373939765348,38.514636819801325,36.49421066292451,37.022327285678855,36.964132181955335,32.45405159262928,34.295133628575485,31.654666886521944,31.801458701612987,34.0800509640981,33.78343848232153,29.86668756076371,29.425179824480548,32.66096903437534,29.440439703179326,24.6362923958766,28.842297560785447,32.015410848448,25.93359254512768,25.749172221564645,29.22656726496699,27.63439931918835,23.436439936204305,26.268030573141335,25.205628882005186,30.98512784330188,28.88778385325218,30.490692081356183,34.07176654300861,38.13780747091579,41.50301057919858,43.32906360116658,44.892916939424566,43.9067470142482,46.21882684593513,43.96588167591023,47.37062660022557,45.51134616598869,39.83707931329731,42.929468859677435,45.38654257628673,40.912728557485146,38.975336949124056,41.71428479980004,40.63219755592219,36.438477693186314,35.78765287807317,33.878136259019996,37.36013582829733,40.44416763551522,40.108889356631046,42.812211404686565,45.590391610249725,43.2658426343133,39.1784000018253,41.16406847994178,42.163437988761025,37.49441069940899,35.96524377147132,38.431899496468965,36.75013305944084,33.28337843691027,37.445809771564086,38.16099366709506,33.79768170043619,34.379639752673654,38.162130965533436,36.707750177874644,39.690811311740966,38.90771095784791,41.96889744326629,39.95711233123587,34.59656296542805,37.965492742686365,38.6472084959002,35.262055608852336,33.752889450238975,39.02430259676476,36.95067365645172,31.765666652984745,34.055432065685245,38.15290705189621,35.28562947961264,31.39622963291206,26.82628437250636,29.167103502454196,24.574758041518194,26.779636831732525,21.82303560363782,23.55868928557217,20.57916881697015,17.689276119260942,19.508213253716473,21.490206663012774,22.860424513977716,26.0053776481809,23.55869140244908,27.31398190507518,23.996723881894095,24.505410084739143,29.43756995397483,31.4809980870999,31.903463906394855,26.61716157940715,27.16001505027927,29.415970706000735,25.473095422744503,22.879610011737988,26.951026499100625,29.360107420519306,29.491384041114348,30.708071571781257,33.02822353925081],[22.468889322467465,21.340410833741412,21.927990431341662,16.584917754067774,20.196766703768258,20.595129302222613,21.22522471727421,25.36398625101979,23.231548638858023,22.894859147786377,25.186174521511447,28.890512853187325,27.672130556569073,24.329408658283537,29.329507794718015,31.298977725602516,28.664653538556294,31.993468580060142,32.33050609538227,35.73031193772525,37.87303594030793,41.61570545246209,41.37620154225124,39.679296249813405,38.09556401091341,34.083135907655205,33.1743138410427,30.22879808949732,32.39121183048575,33.508591992340996,35.9197253885442,36.95554528477696,40.37359002087293,43.21040071129479,41.00726238090872,38.3041185975485,38.432610505078856,37.30042449829109,36.5523044243663,42.509506361956845,38.07265314769636,38.65025899227399,42.97691266066653,42.095504489569976,42.000318207379024,40.722797846854675,44.81863988851596,45.359660811754075,41.81075139689091,45.511870879332434,49.124453516637494,50.044657747259954,51.88294540368609,45.958945770460225,49.97671964983646,52.85239554585365,49.00500761944297,47.24414099007667,51.758276634982884,52.42198721557868,47.99732463555427,49.743175254028664,48.445777017808126,49.1127176752656,46.37294246513352,43.592523077543646,39.91324470089517,37.742525095591624,34.03666304333113,32.59960036133251,30.81791389468065,32.52701891640165,35.478233973964684,38.48101588510814,39.10087386665445,45.35024234279295,44.496413693928204,47.93206069756922,46.99977356131302,47.9635892153643,46.82029073319765,46.269379188072456,45.11460916572788,45.15122873274004,41.622597255863205,40.617634215714155,41.58073896380924,43.34940242838422,41.91366805874802,45.59676200423554,42.59146596823127,45.021010518745136,41.953662524172415,40.754827209169,36.20808707604651,36.38354390303931,32.18455926494775,36.016988352679974,34.338966652751466,37.30209219806238,38.02736061541081,38.13262713758324,38.889936700534356,37.576455334788854,39.840864669257414,35.621361847691325,38.638371848978906,37.210159307500234,33.489889397367705,33.9730863279915,29.15386228921253,28.56217391129095,25.2521329489439,24.22157363610193,23.777751642114687,22.34948793877079,25.066422111396538,23.96323315259081,27.83085566578583,27.723652265456213,24.210062142315955,22.447483203882133,19.082091476947763,18.89349841261948,19.009881781505804,21.051295194482417,22.877138375367235,25.728368061588817,28.671801242794643,33.10388574115431,31.955706689298722,36.63146188437398,36.36794895441934,37.855616965584176,32.95168384139087,28.997086371347027,26.370646883792812,24.30121507601273,21.76334355256807,24.90634504301208,24.450933266263764,29.159524295011124,28.861551660791953,27.379981738230946,31.17773214995171,30.836162190773056,27.996528047296735,28.696626610649545,29.426043892399413,27.439093756041853,30.128626439806386,29.807134545801787,34.40882451093459,34.456200237185975,35.075225937952155,35.30552607076254,32.728304283188656,33.718393311426446,33.281798892425925,33.1820732801703,31.663100625103322,33.46586463946655,30.312894416890654,35.016927586707126,34.70303960389062,31.073451703935653,34.03232199063775,34.53474481780566,32.21961579755194,28.773480148085056,30.200351356031867,28.894569807154195,33.40068469177976,35.28355371075747,36.804319800986185,38.72182962634228,37.19127909906424,42.62872599225718,41.23146677691757,42.40937523130482,39.55636917469787,37.233206553418896,40.68496654817744,42.44626722241141,39.418639872206164,42.08246503246015,40.80133408468532,44.576912352787055,40.554354731349406,43.02225803143078,42.82258353529564,40.66572201230029,39.63397156659871,37.83595209766593,38.62265532555358,38.94949907905509,34.47800095630257,36.48641689762634,34.100990149265186,33.82560708854442,36.4806056168919,35.788766619266454,31.79418597456074,31.96799338727731,35.12347185987755,31.558518782742784,27.25912204081391,31.62593602292277,34.34433538990877,28.210726396575343,28.466362867273375,31.851919526819284,29.75460085773404,25.848330792384775,29.126698704215915,28.35340152893403,34.01622157074215,32.49975058503266,33.79112095049302,37.28029692397355,41.496372206276284,44.78721005631038,46.670808282277264,47.958617683653245,46.87541252302749,49.01615918079797,46.502061665569215,50.06859724651438,48.50879513980038,42.683564447728706,45.57234343053493,48.341112607927464,43.994407792317105,41.80001526816321,44.44526214004687,43.77642178495271,39.61485304673439,38.457544374352025,36.620362902710525,39.55025809606115,42.74780196502444,42.426605806766226,44.79619139088975,47.54806663609892,44.871743886969,41.04238961872927,43.16378439504778,43.75755665027591,38.99577069374725,37.88690308364467,40.16171002119052,38.238257732624916,35.09412973722256,39.51214625507854,39.96238225529975,35.47785690269728,36.587407524064176,40.47613141836246,39.2584750823919,42.20474159613346,41.301190618115896,44.61110854078963,42.808989360056245,37.372171518892586,40.76175345402484,41.77032793325347,38.44408218989674,36.81884032215745,42.278976438556036,40.497963609757825,35.23825262408705,37.3849467020085,41.72552740401343,39.0682396200041,35.1432893459123,30.53686367279607,33.167538636376605,28.627485976940296,30.693996947848774,25.587937294929862,26.90564385246069,23.49899994378817,21.1805331647475,22.96162971129291,25.193295087470844,26.223920593427025,29.088496965238715,26.006509936180475,29.450044477803367,25.581930352329035,26.195848048587838,30.75553980757786,32.90819824037317,32.71456677425551,27.5557806240236,28.545360217374363,30.290498502741357,25.872478532964955,23.92523513380847,28.10472643296238,29.971098962562284,29.814007836828324,30.754277605094767,33.091953196950016],[20.423148628138314,18.776657991995975,18.505462247771074,12.933201080593344,15.729364798027657,16.463712808710483,16.72921814490554,21.019692345795203,19.267864795386345,18.819673567744356,21.506887282059616,25.10903989224479,23.50634910139633,20.599397294284927,25.7412713851041,27.38230402215139,24.64449284034848,28.23945547564515,28.880477439067008,31.927198773398622,34.36416928355781,37.946601923664446,38.030835003096946,36.45494988639767,34.50637794408071,30.517463501965775,29.200799593476713,26.145836342322283,28.26161603981494,29.234598385168304,32.2069763393841,32.82751369783701,36.467593540916134,39.356246589825616,36.906062833660556,34.234265079240565,34.041302010258306,32.986004813366534,32.159575738899576,38.04525084602803,33.8088013331203,34.63990347439693,38.95995002343253,38.10957878251757,38.2952995881747,37.00406595469749,41.19416784871237,41.479599911679976,37.71344514687276,41.53408484618858,45.04499213411612,45.8400812698917,47.66227673470839,41.63029971456296,45.528151350665524,48.601543621512384,44.922620898879096,43.00665297992054,47.54596687864236,48.44346554576319,44.134571935811394,45.96130888957201,44.68734509720511,45.65482595918001,42.80889407276478,39.834689261172805,36.575219133592995,34.25617173576282,30.94574570136495,29.515810279295955,28.048348341930197,30.244471851774815,32.76434285819091,35.653289955393966,35.83545156015771,42.11737536416107,40.87331706303469,44.238787209570525,43.05314878306132,43.85874750893543,42.469204550928936,41.794745782629654,40.45831328131605,40.41091282060406,36.948354972178194,36.027426809310846,37.24972839954207,38.96530633632588,37.869296378661886,41.65813225741255,38.9164704406588,41.67525047618333,38.61430313318753,37.288412823090574,32.671674393343814,33.20191229826612,28.93787804558225,32.28366239546434,30.44756959328257,33.38345959308179,33.765681999309635,33.644034166401724,34.26084299658954,32.80217019451277,34.92443362959889,30.713072986905054,33.77432776299954,32.37830327175558,28.7469142739415,29.17916104189178,24.404834411546886,23.65836093963779,20.463506776231135,19.34625417401155,19.23149586962055,17.85952030576673,20.918024016521244,20.102744985298983,24.48555598092339,24.101204554433444,20.739224544299883,18.666433035748977,15.058364521003446,14.40404891718842,14.31091170607611,16.11463186681308,18.103976526139554,20.817077473737918,23.832739457300914,28.20136072372121,27.24409000245922,31.911631778109435,31.646889911891993,32.976446130249194,28.159790640313304,24.132547151504387,21.718557708244,19.587000423547266,17.20319415019533,20.366429809966917,20.55352993338594,25.360143766680693,24.926154302396682,23.103711876966262,26.826308562432907,26.38045871188875,23.428847354954478,24.040410619809915,24.634635979907152,22.804498605545824,25.510926062967986,25.57723640422941,30.224759867282017,30.81487685536325,31.29500211419492,31.146785176647498,28.423004941869202,29.151268781999534,28.712907106267366,28.345914840396937,26.775274894083495,28.76830191645401,25.6590457521567,30.38686660207053,30.133978568775937,26.748852434718028,29.57842147466574,30.402936733555215,28.021033293956407,24.477597087857593,25.65737779272836,24.230838856938888,28.63387992699482,30.440414167211383,31.974156160913243,33.86528341359597,32.486059476963156,37.86209484601614,36.44656450911583,37.5366368693701,34.72407282393685,32.29847677785263,35.80876897816044,37.6551062167513,34.666166814232334,37.43917874524642,36.26334009558961,40.15850199788346,36.36153220577658,38.68826593055838,38.53208641885518,36.17486284748293,35.17094929145555,33.310648831730916,34.08216033121382,34.52296458067859,30.0337188910393,32.062151408546505,29.853686536352907,29.34920271903349,32.298234357248695,31.491984230135557,27.43235659959339,28.015095962943242,31.27323530500761,27.66388692836389,23.63672676825836,28.251805480295026,30.910331830870156,24.953733279345006,25.598834109322496,29.138029882768787,26.97688703318777,23.42210950506214,27.102498641008516,26.123539700311603,31.82353001475137,30.321879471854317,31.087758765384816,34.6529766932204,38.73427870636249,42.236934295024824,43.790522287715405,44.74060782240391,43.380081398830406,45.27484645870567,42.50297265603612,46.079920740392794,44.81617569763255,38.83762041291097,41.484202268605465,44.475259431734024,40.27492477192726,37.82496284887397,40.36604212532851,40.11235185374165,36.005188667302804,34.379517112411484,32.602069032175066,35.11714690522721,38.397715536836074,38.21277418422579,40.41377254580152,43.30346984344613,40.43551785434423,36.675236420748206,39.10591916267602,39.59914875676568,34.733357151062826,33.92072979311859,36.395200298377304,34.52836423213066,31.50386705700352,36.10448875023521,36.719935429003655,32.407299025303935,33.64222974575403,37.548190302618124,36.21572053931784,38.86991815286312,37.62077900149886,40.996691804555375,39.59768236777798,34.003711722727516,37.123153926681155,38.49559594450292,35.330499075376444,33.32719317813752,38.91021369432905,37.619159461748474,32.231971077298894,34.02329034011582,38.68720576908251,36.452144034451514,32.47006280974492,27.903267810185653,31.079267083223456,26.7991626861571,28.861010800193334,23.541115544893028,24.17701985392781,20.620354268838653,18.822488545220313,20.140858070370022,22.576717342331982,23.016715288245614,25.552331234305342,21.913428324848145,25.064351344497204,20.959815778559268,21.925859939925058,26.32506477193827,28.718369174162817,28.387820507568012,23.25033914769909,24.7081586508657,26.54845553081314,21.846805399108362,20.41015963660436,24.926233017668963,26.82543329004828,26.61104485025485,27.5312385122058,29.952192999397813],[16.886200959107146,15.904494522269673,16.65809725623542,11.302118213851152,15.24740595766503,13.972751953650075,14.773589283312544,18.631956866656264,16.443292693387733,16.920170708671602,19.263397838187206,22.547572533569472,22.09167313915269,19.231069259697925,24.315203475781708,26.210171157096863,24.30458570740555,28.221940712223876,29.71249867404025,32.73562750499105,35.546270663806425,39.34424025661722,39.69666296531325,38.56478814518228,36.421102111854815,32.198023910872635,30.626372669281146,27.083307892463154,28.44645261368315,28.7242791375272,31.30051041235655,31.603634558035406,34.934792329996355,38.258374963860504,36.161437873679716,33.9972655578591,33.62355666348619,33.51469992667814,33.1410162723263,39.20436955429319,35.491446139602076,36.0530756536984,40.43689306521125,40.06056973780651,40.69377094499585,39.73574375851874,43.994151011581344,43.797389278627044,40.043527240418754,44.214025050214694,47.367399951780556,48.00787376064545,49.57071178878288,43.323127271432966,46.876772393908794,50.09383624398397,46.60815231271953,44.225800665660145,48.59803995701716,49.96715002475812,45.44606944432766,46.81275303550424,45.13125393721781,46.50971353506465,43.945845043611264,40.62640218177599,37.321035557140696,34.499199187263336,31.358141385893095,29.231479813466777,28.071369018656597,30.136046326739788,32.407449021609075,35.81178662038211,35.56410395651573,41.86328488428135,40.94748526141462,43.91840504991294,43.000309091483,44.20393807451406,42.56398502189904,42.33327048265779,40.503824790234994,40.91491548281999,37.80935921175066,36.40536882594679,37.75113117005354,38.790505939023305,37.94253637882713,41.081470300057056,38.34674129085144,40.9165594507533,37.53556997588746,35.825867997321886,31.135533517030773,31.251422026493987,26.92856526942142,30.268244743219114,28.201032413207727,30.66387836210708,31.936489458104944,31.72361132598222,33.09000070227591,31.62679785793222,34.523875328541095,30.2279020148692,33.25556737759711,32.34445998320412,28.47465335387908,28.387285798419235,23.48543889755233,23.211280207782675,19.46612264186228,19.39737835147418,19.032572976295157,18.67073826516416,21.79463938887626,21.96274167884407,25.961481718661506,24.650432853493975,21.354355601445167,18.750263732182365,16.125969731470583,14.83716560900377,13.77578564537871,16.673450915868948,17.480839984543312,21.01487144060958,24.056920593788654,28.541162601912777,28.17119575900597,32.71150585280644,32.99533359838557,33.73972666707768,29.52751696935466,25.326329907775754,23.41881542592444,21.57284148331918,19.610895521865608,22.430324797424863,23.513986318778517,28.18074617716383,27.08168304411055,24.90649540632252,28.40363028140484,27.14240633606425,24.177322471166416,23.902870799030353,24.130596876999324,21.468140671327575,23.773825370569075,22.991416189795245,27.467567066544174,27.273766058816868,28.10385877796983,28.5561463821973,26.313846388052852,27.393965805626486,27.481215548818845,27.606003406219852,27.06816581453842,29.172187301321348,27.00753192190224,31.65159813175327,32.08590903549013,29.395108184960446,32.01595128109025,33.39848376618687,30.86226137072614,27.291742665051338,27.93481702497211,26.225306890454714,30.118676720686636,31.380244587303032,32.454879625745576,33.76951051959115,32.09393000012084,37.44370502362157,36.71724268597899,37.763484198975824,35.66965282405963,32.663430830904524,36.776782391502906,39.02738323837591,36.21188916892359,39.105764841646355,37.87871695914376,42.20120273379358,38.913225543861586,41.1430671321513,41.15649252402657,38.43180742138156,37.48790631827396,35.411682667351776,35.941507035429844,36.27238447741372,31.59224041276458,33.133452871643094,30.629508240972708,29.495642039243062,32.16754867336954,30.73922406701266,26.85464464827973,27.71904447864762,30.401257539110183,26.331194629811993,22.986063306956048,27.325438404568718,29.156013326200753,23.08456726385363,24.035443525315415,27.18896666364126,24.41960879495703,21.14063213770769,25.16281671408224,24.827382821609355,30.129539798860968,29.892202997829425,30.3699855410651,33.55622294594439,38.045733779517924,41.142524321335294,43.1415340979133,43.850816009259304,42.72987438043606,44.661719970022766,41.899160037127075,45.85836716064383,44.70617221494854,38.81706106835469,41.571027211630465,44.94316423900734,40.88863140042176,38.469645455258096,41.33809838780771,41.369825533194984,37.12722307921551,35.73214270900185,33.28187284598506,35.466961213257484,38.53423150515797,37.766885947018594,39.683529807363755,42.10292230039525,39.20178443416374,35.73346040992403,37.639384597531716,37.76031947878098,33.040692218544976,32.25518438207401,34.154239581098636,31.980933656508704,29.212150415393012,33.8582576780754,33.99535509432531,29.46675905329531,31.191735577913597,35.167489828902134,34.287833009127716,37.145874155726354,36.17479563037473,39.85376967492047,38.31250667524961,32.884498327570554,36.43896625850911,37.940253752810456,34.74176617394628,33.202151319858324,38.994317152801685,37.74111414968891,32.5102965366156,34.69829285147195,39.40509686206568,37.21057195888623,33.355177024855685,28.649601286671313,32.24702264283484,27.925023678692675,29.126001855010653,23.731666053829414,23.89066512751734,19.704962697089947,18.861603345074933,20.704979713050502,23.747096139073783,24.264941389245223,26.0888117149887,22.2593425210226,25.402932504563033,21.04512448807871,20.893022872554038,24.95919135489119,26.909397034165558,26.263175724966178,21.297458144201087,22.390467377144834,23.61522203480346,19.058971823466624,17.481366486037874,21.69184064921126,23.158227266040523,22.88178149022347,23.80415669681859,26.20574784856271],[17.52530313870612,16.34118509909401,16.286036697386834,11.08015659734614,13.538602162016236,11.394722513700593,11.059811894758768,14.684552496228704,12.156665439473135,12.188420254544182,14.638457345455112,18.014448599836236,17.329626092378916,14.567594930717243,19.693542359260228,21.485259792353446,19.694263412504373,23.752480481484746,25.64181331148392,28.48420183849894,31.522400241659554,35.32646480170751,35.91245519162545,35.06548721951971,32.71551448330811,28.426838274410574,26.637479540373985,22.881873625275993,23.930751333244107,24.023485057508402,26.653387984953696,26.842504173636325,30.208648240964713,33.54221043358792,31.426268939707732,29.35225987994931,28.934757941441532,29.07222575484556,28.901240231108606,35.0420924181574,31.603926082450425,31.997513857019374,36.38235760129961,36.28391400015016,37.22863130285832,36.541963424173346,40.82200672589619,40.24676426136227,36.56742515904251,41.0070217341578,43.84357412319028,44.4101455189755,45.76250456504553,39.427130540149435,42.79869547160246,46.02059730443905,42.639068352540015,40.03297524076914,44.304041478893105,45.89363520234997,41.305602535960126,42.50189622912323,40.70105301069166,42.30912303096011,39.819771606564444,36.32672860585578,33.18960507677245,30.16478361641909,27.305383553304665,25.020532711640872,24.15134494393883,26.49106431679535,28.37860752193891,31.795428605395255,31.20350025501273,37.49190215304436,36.4776012064901,39.33151087517082,38.39539252407497,39.669670082823444,37.958908652814046,37.88599711739684,35.9893262438297,36.617050579667335,33.622902506391405,31.96148320624935,33.280148095424416,34.13518095584488,33.361732198029955,36.388833320163336,33.73944671821928,36.41521894851432,33.014886030318955,31.23453160209012,26.51988190039158,26.81235888081499,22.468486003919317,25.620219871159687,23.57908361019154,26.27151348187592,27.27098388882721,27.316064348776646,28.5186187179628,27.391203931904155,30.511885853406547,26.461588419221616,29.817293978672264,29.29325756245009,25.68739394234991,25.104097572129664,20.318473376414012,19.459539256784755,15.387431841150141,15.34369265158444,14.515093189432223,14.569251377281109,17.645716041984052,18.43351987272104,22.29544339956551,20.471895354105605,17.353212937877128,14.44683528955336,12.319531535847643,10.674778252480099,9.459987988372577,13.176073879024433,14.542580734305211,17.849668255510693,21.1897948989974,25.314721916001275,25.71996084241199,30.13700773104133,30.31080735415812,30.518370066673825,26.604256994647166,22.195318961057183,21.20724789725149,18.886754536893367,16.93502664274338,19.18660641831704,20.81896196179791,25.224426574255382,23.603165514670938,21.235157129950576,24.539093818600193,22.861873752295452,19.961606273104795,19.411780218193627,19.75569754530071,17.023831841900957,19.686854934616974,18.865885147503594,23.560679277167086,23.739080035043965,24.062691738614607,24.254394740818142,21.793626313174048,23.040874104076682,22.87041654706408,23.36737872792604,23.006900942994633,24.840607144004444,23.17795346001087,27.699944153099604,28.68850239571593,26.583962253706986,29.29063297330955,31.168535005502026,28.88504737175653,25.122023656891347,25.40888700295694,23.208941962940933,26.638640762856447,27.549038981030726,28.302120498001457,29.48442449967208,27.559369422109775,32.96401395606804,32.39536153999324,33.58183428476091,31.800630136126436,28.849741523059627,33.277212835244214,35.7008130137594,32.857718651685325,35.4980153391459,34.06997103697335,38.659231337178454,35.737610367462665,38.03118421911109,38.342493315700246,35.421714054704154,34.853221019341305,32.89569495630538,33.554691099671324,34.23951542336382,29.67614461613508,31.27621734357113,29.171726034056693,27.510370477736863,30.65604520124284,28.83634815290319,24.94942781147963,26.66217475619051,29.28569294999979,25.03542399592967,22.5031515695827,26.999024314432596,28.383487429181812,22.68934443433195,24.2924044295655,27.40441027340672,24.33815245926005,21.784947704097693,26.266103640198562,25.914625635707697,30.994059801604536,31.08134051367823,30.90122697862229,34.019279318840745,38.37031418841551,41.56896247754288,43.260062543400835,43.47351110467656,42.044878676175614,43.60359824476586,40.45698553324425,44.48541518422406,43.826037093665434,37.790523341621764,40.13201430984734,43.87319597287817,40.1022180792809,37.32510873286092,39.989675554017275,40.67104589618943,36.57897351383041,34.47114016416001,32.161564546405515,33.5053950401067,36.665022609902266,36.0349809432026,37.508298664805864,40.00150243967647,36.68561792608037,33.541304895537685,35.81324180009973,35.522474710718804,30.701543971024854,30.56120840146583,32.47365288875406,30.21328877623058,27.88699390995113,32.80011354756543,32.91075687982525,28.57911023217642,30.767172928593546,34.73813546790046,33.92277481564241,36.40868914780694,35.03331190327153,38.8837552871376,37.898001450980836,32.38639698600754,35.61597099125875,37.64548506851196,34.703534361625344,32.775169035483884,38.67300067535259,38.06707336339677,32.79749517847243,34.52196677412214,39.562999212403135,37.90145047332017,34.061628747154636,29.50994870679817,33.59731801648823,29.632628273375957,30.766205399571547,25.32051935697703,24.670360217958205,20.33431849134802,20.334742533873513,21.635135015469654,24.80617425923508,24.61464720438832,25.878494384083098,21.281158329886704,23.750375886253696,18.91239298743736,19.11826557286854,22.499670890131156,24.721133385126844,23.40228424169636,18.720734698696756,20.68546949445895,21.506580015272817,16.3228128422805,16.083672652015704,20.5491203863144,21.516654718872218,20.913642535776827,21.52615167810438,23.990885973660134],[13.47260785520877,12.7546449795536,13.563882751521396,9.111388358304053,12.686481213387543,8.925646520240837,9.942446962650463,13.135285864760604,10.97310891526184,12.744630527529784,15.0348222786626,17.571733566767552,18.117906907383375,16.10594026881994,20.97342105021556,22.66691817936253,21.675635770674955,26.04243686092118,28.626400845758408,31.14055237963378,34.50322590746309,38.22965223404942,39.12671699809512,38.52704495453155,35.93342685797129,31.67363819879938,29.52777341129864,25.569893414592297,26.04853563406351,25.39899497616455,28.11293390465904,27.568003161744237,30.747804653782797,34.53661992921746,32.57389061607793,31.030070389956023,30.111433741618228,31.075945096155355,31.080879339029707,37.06752282937062,34.15961744587842,34.70776494638296,39.02272509539194,39.11787996829407,40.399228585792095,39.741271572634474,44.042019973215126,43.193172033244416,39.33189109199693,43.82360487159862,46.50335298640163,46.87929730844986,48.166039865736956,41.73308436151796,44.78241381254469,48.27645902953719,45.190507507994546,42.271803543544465,46.43586393859923,48.44674535443726,43.926376379754494,44.925613760949325,42.91662835295223,44.95235697199021,42.58975041771189,38.830797105252785,35.991208939661085,32.62638390242829,30.16981111751792,27.46575112935817,26.990193655963804,29.325058546819918,30.829539681132456,34.492905766564405,33.389205302036665,39.58461054771143,38.59934097609348,41.05597563761221,40.14875205981125,41.55211361476238,39.43577969789346,39.51515620502065,37.03109592179164,37.80646739622064,35.19500701564738,33.43111001236406,35.148336826048016,35.42472044806563,35.21599106676965,37.75102346115256,35.365185623334874,38.04675106755434,34.42177835392602,32.20810053443018,27.47326286915985,27.548377279238743,23.220025531042623,25.842185112998763,23.337774069860913,25.13621992668473,27.028146429523147,26.41605773669809,28.46955495589171,26.843986824336138,30.392177312243476,26.11007004547343,29.07815453164062,28.761968512961626,24.850649272676932,24.101251970009454,19.273357477829286,19.40192408757408,15.307052253997215,16.50096724706155,16.295763718103988,17.215852422547318,20.500013021925113,21.911136844720886,25.77564196074312,23.38681144649895,20.566674702455785,17.320204920651047,15.802107424500246,13.47699332428906,11.035881631180487,14.612638346346793,14.017355583100993,18.115366935541328,21.08046165524269,25.410135607162324,25.897441648621676,30.122278307620313,30.94720397288014,30.908282575016546,27.55820875489636,23.31199161345582,22.27716562989041,20.79893667539821,19.591643380065992,21.845958455816064,24.276297625218675,28.62149592184925,26.869980678569565,24.16271626993762,27.164960639778506,25.040947446687472,22.103339442395445,20.75141487238166,20.356641684958444,16.962161795235517,18.662626862058488,17.287774249519735,21.547782961181806,21.084400565640607,22.18159721579199,22.886340136605348,21.0994872771717,22.24985791116408,22.990086492005297,23.358149462742073,23.968621557559267,26.330170456622582,25.293973777948555,29.672786182347565,30.817608935831185,29.1258688161252,31.314372255723566,33.445024606019125,30.813263951418122,27.306247179463764,27.184716136021567,25.180954322792804,28.272198597024644,28.850969153399546,29.427433390046687,30.06085560651164,28.282165951454672,33.41443624769058,33.40884676624543,34.28838670746713,33.02339172192404,29.386294992638195,34.074710458339084,36.75710481472443,34.225152961394905,37.269461519205514,36.135660963541305,40.864363259378294,38.340162339858935,40.28588613496718,40.489633615650945,37.31410332539796,36.47732518244468,34.204208563981304,34.47499632907255,34.805330555104604,30.0858920083167,31.117095030521323,28.599050931926534,26.607492932673445,29.224327630867066,27.037747566961944,23.40582902208265,25.026092781440312,27.102220489221395,22.60643206268714,20.546855411662087,24.63684272936166,25.412366889275173,19.683736899067007,21.41480377858456,24.164334557300027,20.742553596148404,18.432702301256366,23.04851206333639,23.17271326446173,27.846683650963445,28.8714089825568,28.504469329340754,31.279339163138765,35.89866826102312,38.74433855486606,40.794195008851965,40.90843955174251,39.75200161399878,41.42801815369239,38.44397607328983,42.730407810272716,42.014125884887626,36.170371686694914,38.7158926183309,42.62263610534773,38.937106792536404,36.345498439106834,39.352708477595606,40.061801560902126,35.859334213101086,34.25674785815775,31.29978900562449,32.647689037748414,35.5142182155113,34.31588455285709,35.712863901988946,37.759121031108236,34.64022325859199,31.623765098100222,33.28547997840358,32.87929528977394,28.264962103130873,27.88670211086226,29.339468460386442,26.91176154628152,24.65001336688502,29.476235858113498,29.271856291884465,24.78924203760792,27.19597925256574,31.178778669648263,30.672814103101526,33.35307725646604,32.303665149554675,36.303777323458846,35.08917062159725,29.793775014060213,33.40481880158554,35.390267281565194,32.415446423821486,30.983258776894733,36.940806611028876,36.25341413284096,31.210584744122816,33.33653217910225,38.26439502178697,36.575826804047345,32.908890650420595,28.32186033135854,32.63415845926172,28.711598488506393,29.112632492753765,23.767070991126833,22.774805510442206,18.115839268293414,18.891096563346615,20.573276803002337,24.11045089833319,24.096694236326904,24.792460084627347,20.413837696163306,23.01120234697899,18.371479693035347,17.319382710180488,20.552217345469902,22.21280281103056,20.994568592352188,16.415157227248905,17.65998203702298,18.14424918542644,13.443326909959767,12.583422701544336,16.70067112329512,17.558818691481807,17.09536127179382,17.97678951650662,20.446476140140035],[15.10916359436457,15.047179389077249,15.972767009132081,12.680218708205102,15.121377704729857,9.511390048069812,9.546453915283,10.995979816710449,7.63525635389966,10.09588862520012,11.443903329545787,13.488772957503897,15.297289512427989,13.484669741906021,17.74913733039786,19.62514370101121,19.628582041062703,23.961147431961354,27.26807711417767,29.65317579431514,33.22302879496826,37.069284164629146,38.182386702274556,38.08158389019836,35.41408587214564,31.071387206068525,28.849863759551532,24.630354500090117,24.266175926924163,22.998870530190615,25.0072192757243,24.31497920579478,27.04088460252201,31.07493140636374,29.55859442337469,28.536107943297793,27.652647634378116,29.48236849391637,30.043432437476323,36.07770041423595,33.73408184215935,33.792433298637576,38.037139829637496,38.68027554840064,40.354753216788,40.17138867205455,44.41142664942682,43.06140928623861,39.475405109643106,44.29074031674645,46.463053480642195,46.74087394454075,47.64554536004449,41.159122097148284,43.8247684860138,47.24135148471189,44.334465516085714,41.034192253916665,44.90115759132946,47.27733958432509,42.567506090473664,43.035493240001614,40.65550147864838,43.012086749780536,41.006678972891194,37.02531234217733,34.191378405461805,30.45177438634923,28.308162290625187,25.052392624378918,24.990990756266807,27.187009698592036,28.23907425622041,32.21542492531554,30.68111298136296,36.70434750731985,36.06270639854664,38.09865377319106,37.51453737766266,39.3263244612387,37.14630681952574,37.7688389297841,35.05237790663768,36.40778330466415,34.173155860938415,31.815967582719576,33.37880746319647,33.00802405930639,32.8694501582251,34.68946937985999,32.31723412026233,34.74281492760181,30.927130374795723,28.43936146641774,23.788779815407178,23.50694524636046,19.28800314192949,21.833541895075278,19.30822071117733,20.898686261410397,23.460959247054248,23.281657266685514,25.778807453457087,24.739834870313757,29.083614546760913,25.22368849737566,28.412079561765914,28.852529207929905,25.240224073790934,23.637285230504222,19.17708286427353,19.015408560120427,14.499288540098712,16.42378364385386,15.368591738742811,17.256716944361152,19.986594956882538,22.26950078171224,25.306358657862756,22.121601910297603,19.6862556481957,16.297136750425206,16.22324432301831,13.871687770518008,11.300419737164948,15.73323146091584,15.039376333356628,18.93606812133331,21.9492122537969,25.707536666083087,27.225475796999277,31.09376036710869,32.03607049108345,31.19585422803646,28.554534057014227,24.247611928950608,24.310140666038777,22.57197870661522,21.492077620296733,22.941706964240634,25.772924456068743,29.620735240673604,27.1907284997001,24.43633403705584,27.012442041488683,24.146801245119903,21.536554586606307,19.44171214945668,19.019486817730062,15.044151125028352,16.6470991575676,14.108498318790582,18.264156006355794,17.106753311466534,17.90230570141894,19.13487336567775,17.719631755619627,19.571856253565294,20.412107552851936,21.810788943513852,23.349416248982667,25.218669549157585,25.323797630724734,29.30813900634337,31.3324333618319,30.472060156276502,32.67863582545322,35.326792700772,32.979454274132635,29.39535305815746,28.858430262984953,26.379309027848098,28.6752657061161,28.598167423905114,28.504942563857515,28.600859895252714,26.291486604015116,31.32797568261802,31.984997448922712,33.029076492423386,32.57257656463615,28.85369100776954,34.052337890777444,37.025323595645084,34.59256622869086,37.277867539224225,35.86122433605297,40.938824621462096,38.9847761893054,40.996491791592625,41.573063762212875,38.18183921274053,37.779405709661894,35.6202109545896,35.92707360494371,36.52171720627648,31.970404708939032,32.81209744481839,30.57231579487755,27.905029218455148,30.64482808110368,27.815763843104133,24.497683105003333,26.906935900978915,28.46741523189366,23.738615275710373,22.930385273504918,26.70227246227062,26.493826022969834,21.360020472140064,23.672080757607628,25.930072008259295,21.998161757777325,20.664753648992622,25.488673642511063,26.02911109388175,30.05713726744567,32.01801792499537,31.104336922053857,33.493759000777494,38.13268151960976,40.71328596712573,42.79326069230112,42.3979671120052,41.19000921815915,42.56104643075007,39.337669857857215,43.82880685105971,43.584006359907015,37.81362987625489,40.02980350029211,44.35687073186389,41.036957183440336,38.25215615092942,41.18942310016479,42.50369824469447,38.443162128043554,36.45572708668146,33.390618342537856,33.84097097969689,36.58003971217318,35.17738837742477,35.948618471181,37.66818648570732,34.20800776709189,31.81673956435642,33.36198877229666,32.26831080529466,27.83639103762633,28.117821323568982,29.020460775800995,26.30500288476761,24.822987623853113,29.717089087077817,29.050738277867698,24.720065070865665,27.889540995545094,31.77065664395017,31.711688192760185,34.16401628119533,33.02831406604344,37.27155877589542,36.42574992084165,31.361701677331883,34.883670044137745,37.28741995484835,34.565799525252814,33.176212700236334,39.147647105461246,38.93885293975225,34.09364948414288,36.04061004018465,41.089448821112036,39.791730448445826,36.2770166041022,31.85448018267873,36.47848129425351,32.81343049062538,32.83091163826819,27.627901599046773,26.036531367701123,21.28301658978973,22.893763318434686,24.403497665066922,28.054151357286333,27.681413112271038,27.72202172781991,22.979326002017523,24.886015820455277,20.059990792783733,18.695031945585242,20.7136937770457,22.13456672027577,19.948415444933016,16.260579637462925,17.927342761359753,17.21487999408662,12.402753787633074,13.126842319606679,16.588760903185893,16.193387621533788,15.204707132827247,15.520274821107527,17.904606271836442],[11.795437836279753,12.012827784943806,13.376189270228954,11.273081971108258,14.05062300918038,7.723207002118821,9.218173156888618,10.26357274837148,8.39702875860749,12.18009685791741,13.725105994896635,14.765744604565695,17.09235828279141,16.251943651647615,20.259166954529157,21.729290357267004,22.036036447894038,26.566724671597225,30.166442341408928,32.15601925043432,35.93215147254875,39.5494569216158,40.91672978782782,40.85736475109107,37.95746706551428,33.75793126867397,31.20395382513556,26.998859811167836,26.46494073277333,24.755315028592268,27.25891898883493,25.784843854772294,28.513491960619486,32.81242488805352,31.207172851933965,30.51038018253445,29.05732234401926,31.299031916402754,31.77175231113506,37.51164075560042,35.52432241021215,35.96922087689394,40.10727679079002,40.70830167940991,42.57217726933845,42.2346486703604,46.48703400593002,45.041145676035505,41.188446307729855,45.90204134798878,48.07187357621902,48.185510255597464,49.15691670927202,42.65136838023094,45.10640821076513,48.80937824103461,46.17522121118409,42.742119262993754,46.586064666054156,49.23604019300788,44.747182772578,45.27151475836666,42.895267131081894,45.56092255400367,43.51457380970803,39.39103710731105,36.99370849803171,33.14746188555748,31.40106159274192,28.124100837125116,28.32632618526894,30.67096022259026,31.42091185527673,35.335166904390306,33.42643886412468,39.32601022993509,38.447392036053856,40.238398047000246,39.47315901474365,41.16033677604277,38.58824353712005,39.09617774149794,35.90903707615188,37.145488970750925,35.18525439058412,33.018047341336725,35.05145000566469,34.385696127043445,34.85617525112784,36.509996606557856,34.51669173193148,37.12180332618429,33.263528600497295,30.496336907425835,25.91008436443238,25.72444596288441,21.64235866730171,23.349024587453606,20.37753978741982,20.981078461942822,24.03700891327776,22.910304813311406,26.02974115352343,24.256201036497586,28.630144227918162,24.515904192423797,27.19448280657126,27.636360338253752,23.785284709417084,22.25104610932926,17.855521906508958,18.70631278480965,14.609539266521375,17.329509459582226,17.256060517436442,19.42054437078852,22.482004942967887,24.921077176969003,28.328716033933162,25.034759197524682,22.826720368681073,19.305756978844826,19.054683345017274,16.238663095521364,12.975716122476648,16.60041427187062,14.324222527606198,18.655679914116153,21.177406659383823,25.097981272614273,26.44346393206404,30.11261159089325,31.58542052095693,30.71932717680051,28.48092352331789,24.455289776968428,24.26453372086364,23.334993461622066,22.88339560984541,24.51487214227076,27.898192626620794,31.798945818438625,29.53104505021708,26.510433401346532,28.892454852855412,25.967877024958657,23.27219475182436,20.788228368851332,19.655535755857933,15.49097541488128,15.976357655262202,13.416846600357381,16.92124966471467,15.485115380556472,17.276969922895226,18.70945226975649,17.928800688501877,19.249218595243864,20.992308046503386,21.771850196461788,23.88685497151812,26.395341977131284,26.677917314486894,30.565928358292386,32.40272982380004,31.7045936485989,33.39627420932956,36.12110181064667,33.441747288541734,30.156517607469315,29.356428141081324,27.21810309387281,29.368285909426778,29.182717445088993,29.15123718713239,28.89992755175245,27.021048559033428,31.69055017845217,32.63287530752087,33.28703885994644,33.060565775750796,28.79054800863045,33.978548723964124,37.065198396052374,34.93237094777345,38.070451035597195,37.05960737751889,42.09178443987362,40.36955299793578,41.99687098682729,42.3628760890389,38.82498771039954,38.073668277013404,35.63646081643307,35.588392823674624,35.821120333750805,31.191370855122322,31.562561711417256,28.99867403140477,26.187436036604467,28.417489614867296,25.4057467329442,22.356444966398577,24.579906652039544,25.695235652554565,20.89169912684949,20.500115360893865,23.848307468474818,23.188307437004497,18.184250857994606,20.593057968176936,22.528298300936378,18.419363352784043,17.448645916816332,22.280355085211454,23.10865623316244,26.726427368682234,29.307804178355855,28.196266462830152,30.30347470227904,35.04370431046078,37.38581605078672,39.651308956620355,39.18678981373228,38.17176464406988,39.632793855640436,36.58060837325737,41.209514849852525,40.88470233081651,35.31164316446914,37.68731292136792,42.06264423252411,38.81946557069271,36.22443446504194,39.40496693028017,40.683297831384316,36.583119145298085,35.045680665933745,31.520150683280743,32.051366034268256,34.5224672319739,32.701144947975315,33.48754328579319,34.880645176872605,31.676927046833015,29.313813643514457,30.362624687104493,29.29612520263999,25.05303409417533,25.046882624606372,25.650913538687064,22.871676488167456,21.37725515033153,26.158678529858236,25.335873246478403,20.93880976188929,24.196533110678875,28.053465344499283,28.166889999782505,30.71576519286543,29.815547781468823,34.109372591088196,33.10710227814019,28.243886629352296,31.986176313613928,34.32684177340135,31.62582766737385,30.599840446383347,36.53075846163465,36.28788253711421,31.67953452275306,33.867710090278166,38.771889548797105,37.50305174862656,34.17108508430952,29.830098173594187,34.57615944055058,31.07297595074522,30.560064217794935,25.57159942657478,23.662630125282952,18.86828167135792,21.10650736143686,22.73018812048873,26.522712018101682,26.226325120770376,25.804191306988105,21.379134882798976,23.34017644288466,18.899844607077505,16.560712811298984,18.443171643426375,19.346232691994704,17.464913182160704,13.890462790383394,14.789087093098178,13.884053648943782,9.749860180613924,9.82111216424318,12.853972750755789,12.493319894119143,11.763849709645903,12.606101798673103,15.044333455924589],[13.360557498800054,14.535527521781773,16.662148113482534,15.119732846377094,18.01615214918105,11.456861986636007,12.677889564457582,12.563560111641404,10.15750980954347,14.025300772438495,14.529312484409807,14.99140557851934,18.50428048616754,17.592599870911815,20.91994600690901,22.657827719891475,23.699321481366677,27.999948239777286,31.8966771771498,33.96172331073565,37.73642054537722,41.499324770876996,42.87686272076979,43.08836245118228,40.2805346443428,36.0070142384229,33.57862312260209,29.278427714425323,28.273095303689953,26.24230027825118,27.898158185003904,26.498992488041917,28.64278460078262,33.09669741291804,32.01568289091792,31.742686748781253,30.45337193585815,33.25458556776903,34.10446532140047,39.86582310447934,38.16196657102543,38.216091812048795,42.30666685707473,43.239999837152524,45.2423647016804,45.184263834429146,49.38659751150909,47.727432320502906,44.10148354926404,48.97032099651327,50.878606406336786,50.968721397452754,51.70694738005422,45.20831139898714,47.44045818079683,51.032685859990735,48.472291482122834,44.84042026410827,48.456862961236894,51.28285136457193,46.63020667278619,46.7386467611216,44.07779641375962,46.858599210987784,45.12506949359789,40.93196709110942,38.36354298125079,34.330767592903136,32.622953432388755,28.96388636178698,29.292637513623667,31.267838080175153,31.902857089880865,36.10856290847546,34.09184685927748,39.79042778907254,39.381725240494596,40.83772753198445,40.45160815746277,42.509371953788374,39.9841251582519,40.92920251485279,37.63238866424955,39.285396316753925,37.58660294199158,35.0294506245018,36.86021351267803,35.73368136573241,36.14093231930164,37.148604571147146,35.08292514227395,37.28041682996773,33.27995053444237,30.344861210233194,25.969235124272213,25.226387142823004,21.412240944248033,23.22128069170622,20.36286966462433,20.48345148297277,24.464350418821176,23.677691235744877,27.281404274428663,25.94014441838808,30.83889776056258,27.037374335311224,29.673322629438204,30.54679908212432,26.8438030376607,24.90897345752848,20.865026017637845,21.72488628628433,17.581594973989123,20.53666364242065,19.907789542805922,22.37429573848106,25.016805674033538,27.72203842243524,30.524103885857823,26.912820151794953,24.832831570724867,21.416530265753916,21.854949826156908,19.301103405120042,16.294121403082894,20.25493196439873,18.02023428982413,22.214842787970532,24.652857798452654,28.28372286790445,30.01424815078154,33.46610496914378,35.066658591327176,33.84627430516461,31.987589313346234,27.987993680682848,28.14378737476325,27.119373987551977,26.59454264194198,27.953915458752643,31.270305326343127,34.98089645952745,32.41142648644181,29.491685755919452,31.711341517248062,28.449090003778938,25.996504591831464,23.216659314545385,22.14426285604566,17.752461556181586,17.981801608540955,14.454058844194744,17.31363123206369,14.518176240156908,16.50641224336103,18.843531263037633,18.73461138089527,20.6140395522777,22.512590128704375,24.022637702297907,26.701013565251618,28.843307416101606,29.716178634159377,33.37674230116289,35.647552130578525,35.25428729722592,37.005306811188206,39.88222165078421,37.312111173116854,33.994971298782644,33.100788339052805,30.793672559944945,32.61871663586333,32.116684177417916,31.701191751012608,31.091431533511276,28.871133785690713,33.37012095179457,34.80737263126284,35.55292211349874,35.84295679924366,31.548855997196206,36.95962487428482,40.180346665514385,38.12541947679474,41.054209822510146,39.8673338454358,45.05485390656438,43.581248215779496,45.28091595859425,45.82119688451263,42.216989270148254,41.65039013999572,39.259676315914376,39.195533282543614,39.46639792266455,34.905851231780495,35.10612063426895,32.54594207049635,29.499552936689525,31.512056246890516,28.197399995953685,25.479514626834106,27.805369109646136,28.45635263337497,23.620271158471425,23.797519330042828,26.707104945984728,25.374136181484772,20.74746472817338,23.18850802046947,24.594595524510623,20.201395450361446,19.687807106559948,24.332193869799944,25.654080399748537,28.708959896667206,32.09268263112489,30.91212539342778,32.63702263174991,37.50703675468116,39.44674703113028,42.00932719127296,41.38316180109873,40.58056805203993,42.01093544800727,39.03045148389761,43.8051421208371,43.595043900333756,38.235433821663975,40.57847691168952,45.096832459345414,42.02218691732171,39.497355087697905,42.74586645195345,44.160947747324045,40.09100758030192,38.6625763646777,34.95584636065158,35.22363583224754,37.49789157203518,35.377060472997215,35.85399081195644,36.811462085152804,33.62249279616254,31.690946647928605,32.282800318953875,30.814780304239704,26.946857067966242,27.0919467513931,27.02636855904965,24.02977881302464,23.064105062582836,27.58546346818248,26.21363617845278,21.858138206043257,25.56467114502363,29.266338859599156,29.872145264119844,32.481435870835305,31.862275264780955,36.250329796794944,35.18439502108517,30.68687504844557,34.58573553331071,36.93572982828585,34.309150272177,33.641476492405125,39.4922924750919,39.252470244279195,34.882715295114515,37.23096018737903,42.01405413962249,40.75262477867035,37.56104867082033,33.265129743170064,37.99117505557878,34.489187746794,33.62284424479152,28.804579919738927,26.872510260555728,22.08106307845336,24.519517014010606,26.350295109344685,30.19113925414671,30.015426367866873,29.38975290485486,25.11878854651479,26.934730314016004,22.618638148080187,19.92672207669035,21.203077499503053,21.624540286013954,19.38819729404881,16.635069528380082,17.152356304315553,15.336823926042644,12.127386572164278,12.457426683112194,14.237894228638389,12.800681661788976,11.878716150665985,12.274271366430447,14.361612509233446],[13.06985721379809,15.085312846965461,17.73878315147015,18.096695294489656,20.769567869296733,14.226169777075448,16.15960884170195,14.938849698840167,14.05209871843947,18.54576018708327,18.816688097536836,17.958497136556772,22.255332300020477,22.36005036872273,24.998407856767646,26.308218117770092,28.008677537885664,32.320320073548494,36.67336816913666,38.256076072727716,42.25038395882654,45.76725870460125,47.476979719113935,47.91939014517815,44.88213274261052,40.78080901143438,38.03892883039367,33.75619732310393,32.30060842504172,29.632138903806364,31.395885188570784,29.115986147012574,30.865989487271595,35.604198729554845,34.72127725606818,35.09887808906562,33.23584646204398,36.80456253001259,37.76848925572854,43.09004434266451,42.04701477398485,42.31717772617614,46.19527177872883,47.29276702989169,49.62366136937375,49.58038375289172,53.73009513234669,51.79070292499337,48.02818885481254,52.845608433812,54.52613738959238,54.3946662218229,55.03440738661162,48.57888118426655,50.362745972538406,54.20732743696654,52.07388184653941,48.173774936520914,51.57068639960163,54.84382798409816,50.413097438567796,50.3373078161587,47.54054723540133,50.77770925074476,49.18766884509549,44.80864469700528,42.747150996459496,38.5236471826757,37.376540428627024,33.56375794672578,34.29275991234599,36.29244737709168,36.443478584107986,40.63610534136258,38.09236788319251,43.431581817509574,42.95697562605645,43.88263769881129,43.47479264274836,45.55657273809558,42.5942949347761,43.654217172448064,39.757945075802425,41.512186680081214,40.363922296069084,37.827070446729934,40.073070049801174,38.317079785101456,39.44973918961751,39.860097827901726,38.29501320515783,40.48071982674119,36.440855039644106,33.136140426577285,29.097847795522576,28.268977393304585,24.924415445358008,25.62404247315958,22.448750987271534,20.99321542324648,25.89997108319567,24.162773776658405,28.676977791637306,26.796126966659298,31.902503396609237,28.203264555931238,30.094552124240177,31.310663024913787,27.647777884679616,25.52877517910674,22.14384629466671,24.017466549614984,20.574066045779446,24.275740910487883,24.3066307825871,27.164347066456703,29.86313670075795,32.88982806078755,35.73941738561136,31.85044281825456,30.13714306322352,26.66196042419553,27.28849913144918,24.435759540322984,21.030102864180336,24.302226672024734,20.752678855811908,24.948120073949482,26.679766216841394,30.052245723763154,31.894034143445754,34.8023379384628,37.05903768255464,35.52041984428421,34.502485251455965,30.95454602040971,31.181096647649074,30.94467200576586,31.058506527712765,32.34103333639766,36.21707603826449,39.79091807864677,37.21001023053214,34.075605473476124,35.92111801511916,32.42923484090245,30.092159355430876,26.79569884663332,25.047442414405324,20.614050460992118,19.44850415966666,15.681699837845827,16.811263365049083,12.88284000055807,16.269769804002202,19.223240656982988,20.362605806593525,21.795019717367136,24.726749486806757,25.913312018550545,29.5113864332868,32.053808313629126,33.51015452081498,36.82003137033667,39.15779932657575,39.22529157046324,40.398697956560575,43.476492681689145,40.67989958571314,37.72728174375968,36.44857638483875,34.41333672572343,35.75783309475835,34.897699521815,34.2845307724124,33.03053367767059,31.169787522034884,34.961864249329345,37.04650075388459,37.365456575819344,38.30553126656338,33.465543129004764,38.895247073612616,42.2926381426943,40.693423861299465,43.94006395545888,43.12717818576353,48.30904445063344,47.343847462291635,48.61092593684034,49.04421125206672,45.247787691960596,44.44668504111206,41.82076067514894,41.342938569343254,41.255156346233605,36.79650121979326,36.31568974418421,33.53199537692153,30.174701368140827,31.381594053980784,27.677677465461187,25.731376044050222,27.93422525338844,27.59545671695631,22.915211023877365,24.253252494056447,26.109419954623544,23.57716917028776,19.959452524521854,22.496950823158546,22.894078060020203,18.298941913111722,18.990602024188558,23.168557856486444,25.152721067921952,26.96314848110874,31.698402350070243,30.10323041911801,31.058270065182118,35.94956657909409,37.220704571148865,40.11690596103025,39.16417371441367,38.73635662695862,40.14180424316858,37.442535351216165,42.408062783933865,42.290685402466224,37.4692097822801,39.84068851029548,44.49317587206228,41.77694658639073,39.541773689957026,43.022471159506175,44.5834549640307,40.61944969582466,39.72709837329816,35.46884535468987,35.47094850235509,37.19766057743026,34.39725468593897,34.5426781391946,34.68995836769078,31.88454848852817,30.483283260202725,30.068451333235522,28.26127508455691,25.14816477466742,25.159698185304467,24.065387407273093,20.910347597120385,20.6218305099459,24.530542123315662,22.463125414854385,18.36539086478388,22.5535043486243,25.887025105271796,27.173308391176732,29.76234054981246,29.635976571593748,34.05384711832943,32.89507674711837,29.136216924226655,33.214251030091425,35.52845877420937,33.144852007352625,33.16448863667821,38.72207967512586,38.59450013426457,34.841976878659004,37.425695328280526,41.86865227144052,40.80085656450034,38.036932844851705,34.0605594876744,38.85902750545209,35.744603857386146,34.01882190244872,29.78519971354277,27.392430338823793,22.890121101632552,26.168999708163984,28.037487531385697,31.89588170299674,31.761294622135743,30.374598282471972,26.68387993302119,28.222541314976038,24.633701653245094,20.8688910332655,21.229658723517915,20.568982388991504,18.521408068918976,17.031309927903997,16.324393953391,13.470748570830592,12.668119488065509,12.67960362900009,12.167882173483509,9.512385341759241,8.953433321732748,9.54455498281009,10.951529820521412],[16.52394844412275,18.688809095497827,21.419213366635788,21.31091971290141,23.997613025265373,17.28410357410376,18.63724683361348,17.08770546216009,15.383775544641294,19.47122088694165,19.001882952420242,18.015494725837097,22.877469185891332,22.67472648883228,24.790826473905533,26.388678372495377,28.516516236133768,32.53108837592844,36.9722760361117,38.720055958426116,42.61408733834929,46.29855947992154,47.921335146241105,48.56514374714074,45.69076474792915,41.50998707835239,38.987989479296196,34.66096922801814,32.92323407320648,30.193973576962936,31.104784886562555,29.1866639979521,30.426570141854903,35.13418928421427,34.72785515433747,35.323910047406436,33.816824710353806,37.63201137674079,38.90917872381135,44.340802682041286,43.3776940599727,43.20555749903775,47.0661868735729,48.435598903820726,50.79859817472783,51.032901704129635,55.13271318808663,53.06273789187746,49.587876938072874,54.5621968709632,56.036218598587624,55.952163164067414,56.37596887984179,49.94522016739316,51.6327770367025,55.265450432316065,53.08753830708055,49.08911375290049,52.304601848777985,55.604197550605804,50.974710994548666,50.54102428423637,47.52633299189924,50.72791142437063,49.41794085481887,45.05908425903817,42.73046007666258,38.43257305743443,37.214878529175365,33.159791185991395,33.91262955000277,35.551852826861875,35.67467594110731,40.06345283615151,37.57169298128572,42.72716630153256,42.72389850399637,43.45127600166463,43.4267410963773,45.843556263537266,43.089099610623386,44.53876681397192,40.77061691261146,42.892209589003386,41.830361733033115,38.929506238402375,40.820662581641365,38.82837085277877,39.67070496846029,39.61190369042874,37.86687465413947,39.628232865805465,35.529614814980505,32.21982531024551,28.41305495951855,27.099104269253633,24.041883476050426,25.053522774136763,22.210533017008746,20.763451294387934,26.136476480937272,25.12263551470141,29.6680149883833,28.467594214252678,33.91559092212205,30.561133629819466,32.694092984834676,34.20285753696451,30.743722848612904,28.32536999468246,25.075906775214598,26.472876157854838,22.780458857392233,26.338480243767403,25.69706936901035,28.651328482091948,30.94678920442383,34.097286223720815,36.37141463094196,32.31778402748792,30.667109920100057,27.355890751150987,28.49493661799789,25.95103915117972,22.88703241993067,26.640038222286442,23.687695813200172,27.711895673340564,29.65496896057226,32.80266335437562,34.993954306042994,37.88390237446453,39.972441291124575,38.193237590976445,37.236606539736975,33.552928727636,34.11915599350263,33.47429356049985,33.30484693924276,34.343153385295246,37.992242178123206,41.4038440902185,38.54771171284442,35.58395371633746,37.37297888477894,33.67340917003046,31.548543674599454,28.203755772675024,26.772233448585276,22.28110205200558,21.455468765481527,17.141925067790268,18.142234969753808,13.424515995811701,16.286190042900706,19.808732160245082,21.1561770660053,23.20412292681488,25.817121782620976,27.769819510103208,31.49074538001818,33.51503997242448,35.31655050681821,38.49890215142858,41.22638549529998,41.451075043192105,42.88206855080145,46.052862965254775,43.466896117047106,40.34590525549094,39.10254845661798,36.79540281273832,37.980411155502495,36.94330672746424,36.03076904409815,34.67320740282606,32.38261045013276,36.18423018257431,38.50849743349927,39.06889398669474,40.28644115628797,35.679053745980696,41.27878473551086,44.72541733850623,43.04203697178853,45.937317123876966,44.82078011170939,50.138850207171956,49.267650335272975,50.75073480354397,51.408369102781464,47.61796759400086,47.10853503152117,44.63455188910879,44.313127582711296,44.434189887343784,40.03481045339031,39.68062459244945,37.05903118789385,33.598252066669254,34.97895658287789,31.173784697955046,29.244291907820774,31.651622056367078,31.312576171747178,26.633538966880852,28.03046056121846,29.9437354182788,27.317475458080935,23.802642154976702,26.323712485171487,26.66054945202459,22.06250940093188,22.71682443214415,26.816529753687757,28.885809169361764,30.62991987725711,35.4687559782695,33.92758115170408,34.82405081646305,39.720672590010665,40.87302534840438,43.83166105655928,42.79566665072932,42.387359747787166,43.699990121216196,40.94222747201693,45.92266927586015,45.94759359044194,41.148799868037514,43.39699569757298,48.134232882676386,45.49426537562931,43.18327918998634,46.582770896818964,48.280240712833944,44.34380067595102,43.25842191384862,39.10933629963383,38.87862991317554,40.63315916713669,37.875528807809786,37.7918082134136,37.832326491708436,34.88412859897378,33.772278230699165,33.37323640514083,31.275776924550552,28.31817080478866,28.6279569472652,27.320305749220264,24.125213417881312,24.186080444094245,27.965207915659605,25.685388491639156,21.787618211671262,26.101198391393154,29.291644915169947,30.768110657467986,33.293491405017285,33.18659170201424,37.61669916583629,36.53865868002305,32.89740013518697,36.922970217448885,39.296552651388154,36.956616359887605,36.96929268276349,42.5167618941771,42.43223538114405,38.68031152893772,41.227086974480514,45.701338652326505,44.63667021681502,41.847631354106454,37.828755735206215,42.595914267502174,39.38183051908406,37.72552718222224,33.43149162738717,31.161884882886703,26.60750431021911,29.705858713432157,31.64205023746237,35.512049677877,35.38838422859615,34.10579997433524,30.254967735909034,31.70026144594429,27.9059760317201,24.41160052957969,24.563848787260696,23.9830127858785,21.535771675936203,20.34097184167552,19.99487735157027,16.915618137429338,15.870415371116588,16.39829531487672,15.95854049230491,12.996143858760966,12.160267204105807,12.021865095234,12.938978632339126],[18.06463479073465,19.614554243399272,21.750549940459287,20.501538054457523,22.884858707588254,16.121438138561814,16.542119984171332,15.165719876213824,12.25911933235845,15.685232719931737,14.824537293185449,14.417037665548754,19.169629074062758,18.365226969181162,20.49637922870152,22.436401914399106,24.460968130357514,28.31203317671876,32.59831308734752,34.62132859843652,38.36757727443178,42.233404052808616,43.66958066274467,44.31654991005167,41.62102727218718,37.340601552841,35.0704999190506,30.727474733097253,29.039501096668133,26.605273537580896,27.081653403761493,25.810206066732327,27.105192452998224,31.635541871741026,31.27803145841514,31.59054326417691,30.56776901383706,34.07659437836501,35.45991320978929,41.162165503379,39.91727200288672,39.399414027571126,43.34580513666569,44.77857117504786,47.010328614575684,47.40326909228388,51.482852605908874,49.462227076873475,46.22720527981191,51.31267652425204,52.76387426218919,52.81812768165202,53.17373216107531,46.74549933525726,48.62393191773652,51.99781662902771,49.574237195570895,45.678445935255425,48.92188537277834,51.98531087968844,47.15277355101709,46.66514456413124,43.64207009287047,46.590951981651976,45.31583819907044,41.059876982567765,38.38269702563028,34.1421388315795,32.65494287335392,28.571300105554283,29.189616040699892,30.72402882238329,31.005484631470257,35.462253714186,33.22116450613439,38.516087214201896,38.695893501495036,39.656368761215745,39.77551657433056,42.308790154973394,39.89787759221293,41.45449465488512,38.10967148230201,40.352049777646435,39.021338267095,35.91845141041174,37.39877762579317,35.66103297323267,35.961348164620915,36.07061531069418,33.96732160646197,35.614271524884614,31.51025884530788,28.40285418296661,24.44694782956269,23.033954297030323,19.769601059937763,21.548488918947495,19.02231558577179,18.67401892195035,23.581107403420887,23.52746637277447,27.471952331265783,26.96730308505018,32.46075069713764,29.268651955077956,32.012696482167286,33.51620919212488,30.2102587217565,27.67138501516945,24.175919428923258,24.66087861058747,20.50250020585067,23.580116950103744,22.183734566833845,25.047017925704612,27.012968422612825,30.135979480039314,32.02379655019821,27.981427292792233,26.266916873188816,23.090710746766195,24.54709214216767,22.338415830409193,19.724699461604356,24.028443945987757,22.17132933306155,25.949014677943513,28.382848639836666,31.441402528099143,33.873695455152756,37.0140761338273,38.593817809883376,36.79734012808861,35.457782760515016,31.478497969256907,32.35231300427504,31.020754937063074,30.405210397708007,31.213730278685183,34.49551664930221,37.78288536208397,34.746981765061015,31.99276366487683,33.87161021807331,30.158886229852143,28.13542191839139,25.013569197748115,24.130697028657895,19.673586107831206,19.819767324987186,15.358619555752623,17.42192524920757,13.296696510172866,14.848825807370694,18.129864406215187,18.735778903972975,21.376157714992296,23.17707925639598,25.748633554571843,29.027598668959353,30.50227436472837,32.243625530064286,35.480644705249844,38.43053566086208,38.59136154233771,40.45812250660189,43.61804670797532,41.341255358299534,37.94687084325186,36.878904146372385,34.236698719443446,35.48883128399351,34.507614056692475,33.51160608157527,32.46601193927098,29.735189312313857,33.96444390415955,36.01268745475391,36.960537544410634,37.96286774897373,33.83057754791755,39.514989458005466,42.88574893973906,40.90080564967932,43.37615688561014,41.8766159965022,47.2674114725463,46.21865641458742,48.048287487000614,48.921395420272454,45.24112187162739,45.081599394046016,42.86292919818048,42.88841751651566,43.39506785549711,39.02741475606653,39.15712079702719,36.857712193264824,33.44810621376826,35.506336455345334,31.826005589383048,29.442467844892626,32.20425005630762,32.478298419680144,27.671770648894174,28.596284824481216,31.21492805164792,29.219753152539443,25.225024527638407,27.859518222109582,28.836506443086236,24.294430133615204,24.40251970352378,28.89805515143399,30.500219054558183,33.01833680521058,36.997262694919364,35.56924283597956,36.96360577431402,41.788513146847,43.425277153402206,46.05280829840496,45.073664053221094,44.30414493053875,45.49328991561052,42.40885844526358,47.2737703319307,47.421368315903,42.228609076928684,44.29473549093138,49.05806142178592,46.284877778576444,43.66596679615018,46.81332167278196,48.623621456546786,44.68655208092854,43.007494294714434,39.316669186459215,38.95525458961426,41.090139650830864,38.844523193141505,38.78454335233945,39.37346636987787,35.99275335772703,34.7094869013541,35.104328237756235,33.0288760655043,29.564498347956278,30.25006599244437,29.587207723308026,26.44193768315747,26.282485082640775,30.55691512683396,28.70968286529532,24.71714408759415,28.91089020862391,32.34038156585582,33.39082279893676,35.789606265170825,35.20769367859193,39.67475762473634,38.86328094454739,34.71566865642921,38.494112231269824,41.06420172564591,38.65296546717797,38.081043767136286,43.83345155186186,43.87333496027784,39.700951420880465,41.93420049922222,46.72132992953559,45.67920221859353,42.6056946546848,38.42501887688763,43.2353627475714,39.83933839260857,38.79638276859429,34.100220476169454,31.985517343084737,27.254098637198098,29.91214015002176,31.685080928146572,35.52728380051589,35.21193430854865,34.32496163437479,29.927737819938592,31.312543767836697,26.978695025632895,24.322130819959074,24.711537001774442,24.875317549312253,21.977391520104575,20.27627143553358,20.992569948728878,18.291805733918554,15.678157400333534,16.99826381348553,17.88840601123268,15.329436971334239,14.071675295278744,13.543847751431349,14.925839985131661],[17.18136291496778,18.267510804620088,19.73091011029248,18.8855323961577,20.515903033842495,13.678132466807693,13.888920152667302,11.95427168581587,9.662548571209761,13.614586071205322,13.100478685646944,12.147630177022263,16.87758800175863,16.849077972159108,19.006945775753145,20.49583679905069,22.548677772253594,26.618518146947036,31.115402904510947,32.75597952586872,36.69070988170535,40.32716322985068,41.99778842811127,42.67065913709657,39.74557894887541,35.601855365441736,33.03406918707244,28.710527711934912,26.930310279257426,24.246600894328378,25.3934102019705,23.507488241545797,25.098694131466228,29.74977678324749,29.07386980411885,29.456667879197067,28.006780672583968,31.666462537703545,32.95848657928843,38.464346780798444,37.45462405779862,37.21521120149189,41.08062603682145,42.473249748461825,44.8668055260119,45.18465462568634,49.25621654435412,47.125214172510695,43.73314706057045,48.77303703599639,50.17391249618258,50.12036489808282,50.50780329870686,44.07557660724915,45.83590800376874,49.38319955283798,47.134335427393324,43.175801814205606,46.43768406649873,49.65604105272018,45.01341983275142,44.67232596749098,41.745201641729835,44.91429134310567,43.50485484610456,39.14371164546521,36.90375648405363,32.61900624807628,31.51653126330684,27.561213429382022,28.433752933033862,30.373481536679133,30.323717137563854,34.55551340630611,31.972074029025098,37.269268499552275,37.00627565669739,37.92801497943996,37.73752682768269,40.052288529026875,37.37096236259306,38.75589818111415,35.181003408404614,37.306124451795355,36.0951027215205,33.12352453294743,34.91454525965275,33.103964343814006,33.825373935826974,34.07588822714988,32.29024549695842,34.325445625529426,30.266311472333687,27.023401052605422,22.966905101832644,22.040461967716116,18.685727157651158,19.690355897087496,16.757626733493822,16.09641076025705,20.85586591021035,20.2766490786046,24.353331552745168,23.534866368153573,29.009647116164516,25.80642675124187,28.477386048166235,30.071069599326485,26.86000432099239,24.195574436191873,20.86686289330869,21.457370125376595,17.50193384084713,20.900395932280077,19.911648539962002,23.023308843654675,25.13936067639099,28.476833143144287,30.64439691522192,26.487827888490727,25.011019357532373,21.68433560066593,23.121320818683724,20.585050708432394,17.653771181598728,21.60345042473956,19.374906069282346,23.002931539019784,25.270819110566535,28.153701873188474,30.765438652215856,33.73627043279647,35.411738212584105,33.4638936854564,32.38823704655745,28.548487682310046,29.644584046611364,28.5273426814771,28.250727456505043,28.923593748787212,32.61947222055121,35.79905924981156,32.78554402570407,29.84643149564723,31.521118480604482,27.74201991644161,25.70545682859336,22.34068287405159,21.123020783617427,16.635477372468102,16.391954930781534,11.93089104081271,13.953505978194885,10.20765467742432,11.981789901513883,14.993433262981878,15.668189916690984,18.019009571984768,20.153530044118735,22.4463736236109,25.974325017898746,27.69368000226122,29.615249420772432,32.72454792543914,35.66762482448125,36.080371509318134,37.689628198231446,40.9915958080211,38.693296825042026,35.432811112074276,34.149865152155286,31.55811928063741,32.56432750481727,31.45318394699939,30.43643612827118,29.24685037267094,26.727837245190617,30.819915481201914,32.929086204299296,33.71412301852819,34.82435626527796,30.521693049740424,36.21569518355454,39.636277680314805,37.78068381707762,40.377901443155935,39.06055913928964,44.4346384581681,43.59032857342641,45.2175637626121,46.05556768072031,42.293508020176574,42.0931659852652,39.83319692769822,39.77580799864318,40.28386315038361,36.009193969759515,36.03515723239009,33.86639369958146,30.28966526640599,32.42533946886625,28.637178839489778,26.339247546279143,29.382708202908407,29.608996466780034,24.833429829973564,26.153517302340475,28.76091027971003,26.658054079294196,22.96923390788251,25.865648165554244,26.887787067923064,22.399177610980516,22.86660443304767,27.489869414385847,28.89221420494109,31.36522305208918,35.219707643682035,33.478412842030785,34.8900889934963,39.528288634117004,41.30924037023875,43.658009921079014,42.473449448122665,41.51196507615055,42.52380358814023,39.289887767832035,44.12668666542324,44.46258064079868,39.24163700049629,41.126407904984575,45.98431244639724,43.348970233291396,40.627023622990215,43.68573783516192,45.722729165874824,41.89234347626016,40.01591075959837,36.36705076049554,35.69701620718431,37.80937930624555,35.626643261069646,35.42846012712763,36.09497849108682,32.58456902429754,31.37976820126595,31.966909468796818,29.80828072938928,26.262850167830912,27.206979216478903,26.685279638699704,23.57933990455133,23.561516611342864,27.974460874641345,26.309796790304546,22.501789243642726,26.758866035346923,30.171878740280626,31.083708152844192,33.21957187259231,32.36740994578244,36.84736639432309,36.343645899714375,32.14065664077219,35.672947185836165,38.46305610458514,36.20608461886644,35.4152056727993,41.13700932224982,41.4904172452453,37.342797325156056,39.32034788429726,44.19557622773129,43.42731668999202,40.40154315743679,36.37326275091656,41.35188569845628,38.20208813589001,37.17443398367513,32.53190082742912,30.06018454710755,25.433449174298488,28.405840262453122,29.858582458867176,33.66202146099366,33.044858943888876,31.872745236513154,27.33450169926716,28.38930412633294,24.12370722325426,21.487619532742084,21.46393877867644,21.6847551649437,18.561288564398293,17.116250732901737,18.17247187507557,15.32411162762614,12.572541682619688,14.662913945069988,15.651753005547175,12.957774391906955,11.493312440634597,10.805149186792153,12.429813385200113],[16.95422181209751,17.388750134903972,18.197287011933046,16.65769516232474,17.897936786060562,11.237843887292243,10.808878870317766,9.315411472588996,6.283420744929226,10.196199409027805,10.163633217682984,9.980141852272627,13.963327607136273,13.701695940679805,16.45506161957318,17.954863732324792,19.49614443350994,23.735202262044876,28.039135285988085,29.769942458331162,33.681835189981676,37.334924417627896,38.930621618975565,39.439902436506614,36.51273693452387,32.337528117601885,29.775335339586476,25.447878831367383,23.955248323516965,21.575924404565022,23.150839506715737,21.490929931674774,23.58602797416933,28.08574846607108,27.036818241342104,26.985010457264398,25.63180641578314,28.81760763140802,29.934173775735502,35.60149892864506,34.282407042812956,34.12419596177696,38.08853023464746,39.3121233362518,41.57913988560509,41.80428136640914,45.9146603159175,43.92205860785606,40.48381574939036,45.50523913661248,47.05595229468947,47.07754136618707,47.57892883428268,41.11470805410286,43.109491879988816,46.628873845035145,44.211806364313,40.403922866385436,43.84502928281307,46.8586747102451,42.206394511717356,42.1154235816189,39.35739619654796,42.35513343758423,40.741721390254526,36.44093036892162,34.14009935213528,29.96445481114748,28.703441042744917,24.946412683549493,25.685711624691184,27.867535637666684,27.97000580079334,32.070288747869775,29.650798882610232,35.20541407350843,34.6898690981505,35.96242788054845,35.56885262752124,37.698013975578135,35.1230513448094,36.27337071428273,32.94057221321137,34.86664691334164,33.35635302912851,30.510838302464627,32.260175555365265,30.862404766759173,31.381268299230577,32.17009886096463,30.25325469904566,32.550667102988406,28.560383796935394,25.511643316326243,21.161132060180424,20.626658521820318,16.874037703409343,18.20948860330542,15.275163002243604,15.602862925515979,19.426156708004655,19.062530603384182,22.54480053887546,21.76796666792289,26.982592251091738,23.648113680017683,26.660790013387413,28.01583946116182,24.802616192957686,22.278402216268194,18.638765115727857,18.72775264571096,14.484388914123638,17.58237513803027,16.464153718936945,19.46806323495321,21.68175494616433,24.927499970522508,27.291867287608262,23.26555606071567,21.670913351026275,18.26783908972403,19.538078156314626,16.9723648413202,14.091455635893217,18.214669701002673,16.55577664493745,20.07839973901792,22.641111985503386,25.61525969778225,28.1685978433635,31.364861653411307,32.73160287823296,30.955738286954364,29.49683992666637,25.488645700106012,26.60299606589906,25.188820056754913,24.7464446575448,25.417608167152398,29.022461199279377,32.24826662391278,29.292236300212053,26.359955210053144,28.173884619681367,24.5335629610867,22.377515204023,19.221325905638494,18.222687549246494,13.762066955039385,14.226434714299135,10.17278966233158,13.379823557947304,11.07701738247612,12.026191903530322,14.146594714195347,13.87887924711662,16.205634021547823,17.84735257446094,20.03703987600608,23.060850571311438,24.7422239297213,26.326023519932374,29.614584869603373,32.44238762892391,32.67629192444685,34.45864698656027,37.691144082328535,35.481634585160926,32.10786700669625,30.94144228229936,28.25979102994195,29.45985075568062,28.539074042945487,27.695488231319032,26.865686931365502,24.319690337898873,28.78018153295214,30.454205055615972,31.37157600980926,32.074440938094774,27.98526643352191,33.62317154633727,36.94506320714328,34.89852029177984,37.43204253933635,36.03421636377633,41.37717418457831,40.30949016333916,42.05681903270712,42.897879892923164,39.210338992591,39.070888948578705,36.902025464617346,37.01454680442834,37.68446589099554,33.39717878099607,33.7353954456734,31.72900474936819,28.296426760675715,30.855413679849075,27.290231497409987,24.626339919058626,27.786004544592814,28.51381281129388,23.729586305369935,24.581612167440134,27.681625375030666,26.189293644499404,22.15612704620925,25.063321997087556,26.587727207829495,22.28947625476033,22.32991233982435,27.153445181176377,28.126343867587543,31.161850156777888,34.25455107347061,32.60084578166136,34.399674903030075,38.92562672083384,41.106587002414884,43.16348851789315,42.097111738153814,40.87845719017944,41.85783158209476,38.455985938320794,43.154910980627456,43.47557983151348,37.98464137158751,39.80282478080455,44.584390467273685,41.80735360815255,38.91961911068857,41.82158439914644,43.83462663068947,40.00231817907007,37.80166040942177,34.46800762056795,33.86578989279962,36.251565557094956,34.462887037796115,34.44770460933875,35.59703027026626,31.90011575606497,30.373767654509166,31.555760374064175,29.64447149876555,25.67188257000388,26.690981449936555,26.805952612657062,23.848641201188343,23.446413343766086,28.179017089635426,26.982046966030648,23.107137187734615,27.06454618351524,30.64706672680289,31.131472082370692,33.18751449996258,31.99903472746095,36.430149073584865,36.06382611303566,31.477711663297764,34.81000729741841,37.66678196518615,35.35037291623967,34.129999136387994,39.95626485324769,40.361557316032815,35.93456527779559,37.67949140931482,42.734643000395025,41.97772056490752,38.77489045630222,34.6839566034779,39.66485458130956,36.4633051736367,35.87469150412596,31.019511839468077,28.633491874722335,23.989691034181227,26.659098657648084,27.906799208966213,31.63513108021407,30.860508318392085,29.955981117326857,25.11326320315643,26.16707565804481,21.598746639152647,19.583372885431924,19.920732019120145,20.745402057914177,17.593767284963622,15.504835512165219,17.28930493636311,15.07421385362809,11.093662207876077,13.589879136030765,15.67383534665741,13.694796401382519,12.16471947224069,11.61576288153649,13.722588268233608],[13.288905485414576,13.313325425808136,13.782016922007069,13.087549457807238,14.214926757492695,7.369502715562112,8.236155078944998,7.23591851216478,6.675144523864971,11.382272584320912,12.709483553090417,12.441566488962286,15.372643108876064,15.832647029619606,19.13024405539589,20.047273459112997,21.004702186455244,25.59273357493182,29.754208381988676,31.144911360895165,35.190166968332406,38.52917309464785,40.28814872339028,40.54188436574753,37.36469177829687,33.365829850652716,30.446023523644843,26.237023732927973,25.131340352234382,22.760029002175024,25.56694864409228,23.225710193365412,25.859075647145666,30.376960321643242,28.761716098403685,28.55954695396539,26.571893484548337,29.517233978813906,30.167489242934806,35.55450466278882,34.243158677414044,34.79338464971679,38.718582152801815,39.56614560650484,41.830566805719265,41.64385230276645,45.8163620427611,43.97544724345264,40.091173356932934,44.86530111666015,46.68376338223001,46.59275941409579,47.38601178269051,40.903864006731254,42.93935949737937,46.814267486032946,44.55153341383091,40.83821217045855,44.4801606808311,47.540304370911706,43.234850104100936,43.596861966227024,41.12484080157817,44.23339534641855,42.28984666253509,37.96393661082916,36.146409845768346,32.101399669671146,31.048245950021638,27.67382574558354,28.40760418634504,30.987438782696678,31.075124035625684,34.854494687777404,32.32431926545148,37.94744338420657,36.82456013719488,38.218138010942404,37.32379784949348,38.983129428559465,36.03885028850067,36.65317180020143,33.01320669939266,34.40977792735478,32.892783189153434,30.61962503429083,32.97665126102601,31.789872285120882,32.88423308427954,34.1574303291697,32.62795818090352,35.415369217055414,31.55972820375593,28.493244401710307,24.069746684108623,24.11713089120874,20.302069096828912,20.881568315180374,17.532311270696255,17.305866386581066,20.640326498287415,18.919950688224393,22.549645518158485,20.563079819231856,25.287883031760284,21.38171644768571,23.902437095194163,24.866510940614646,21.2755989293324,19.16355280135684,15.28211026458933,16.400450966434267,12.640611164051366,16.22802320581952,16.513561437191665,19.365771041349543,22.27527353530021,25.311426398414778,28.57336869418975,24.838841283003102,23.21363552649948,19.624529187259164,19.988212510248946,16.85961035405952,13.249765658408867,16.382218060228098,13.305398052884081,17.291728139151175,19.44340888792301,22.827527878782266,24.86237138215336,28.052995838369924,29.818488710360647,28.35472257563074,26.922996866979236,23.158277876454463,23.71371493735942,23.10307268213453,23.23898635969711,24.348843435681292,28.418551947874995,31.904567747295925,29.39886844656002,26.169076273111617,28.016003820488177,24.697135335197537,22.21564093873092,19.068529479008372,17.361893210944046,12.991563299683925,12.497596087149441,9.48969257518997,12.48878789612799,11.211904312776351,13.302743099706648,14.676370146039227,14.441280121276055,15.532542196413182,17.96047633638907,18.738999558888132,21.755435495120345,24.39755206717881,25.511683068637286,28.953867034554296,31.166369449369135,31.214728355113692,32.49763272358012,35.63222687472398,33.022543031783925,29.945702457260175,28.653490433817797,26.444855567661666,27.847603638058953,27.149001355511288,26.75306097662568,25.95203194381366,24.18084252602419,28.434425037185846,29.886967269637644,30.33578392262326,30.744096582076438,26.148625913650605,31.557544252081797,34.8578072588201,33.0178808291992,36.176580406599776,35.32018818110207,40.4594836330795,39.3329381062307,40.67555957753261,41.15200750516663,37.404251220627366,36.76014733210232,34.290017416161845,34.083567936181275,34.36780350950442,29.949930809441938,29.98636744543462,27.669603226414555,24.298239199463815,26.52848457489413,23.022886646024553,20.375194232257183,23.287884000809086,23.92704815647764,19.1165349615589,20.01697678637722,22.988758822340877,21.537652442993448,17.470277952013156,20.442474634829086,21.99532783105103,17.78990599117408,17.96409873772799,22.8041903910343,23.67197971803651,26.66055333730191,29.715461463032366,27.934890470568384,29.729072598718986,34.22232503448029,36.46748011377804,38.47623755303492,37.48285138760399,36.29617546830078,37.39724170391573,34.117665701763244,38.835605463881954,38.96881191752039,33.50820672110129,35.5174269566136,40.21725387769754,37.37169843154692,34.623664851951794,37.70480176636676,39.54748617103781,35.66230306807913,33.81852992312878,30.203761597520757,29.905264175892512,32.18804739431062,30.224597964362438,30.487740549986025,31.664601758014307,28.219666331147955,26.350306709754776,27.391555385453156,25.834325793872498,21.730340477924447,22.339988700264158,22.670725638224923,19.799664399559596,18.997883646488457,23.821825425270735,22.88133522085259,18.915837965343584,22.64173373077352,26.300779857109227,26.588728791197273,28.685085778099072,27.515072914947094,31.92265041716114,31.446427369801395,26.79603992891102,30.20718980095972,32.98519797419112,30.64331085838163,29.50186371914877,35.32394648602106,35.685634702706686,31.329611523835865,33.164823768616046,38.14830974613567,37.40794250239844,34.28789217850881,30.278724353982156,35.33091691226328,32.30425105803247,31.514986473899338,26.805194054071563,24.175585787381692,19.61670139882028,22.652868979686286,23.795038863512683,27.54087044352238,26.744734264879497,25.576339528038435,20.953137909089932,22.128134228737686,17.863057315413116,15.22895519132329,15.801895749545142,16.46901042983858,13.868117520416993,11.28172559758979,12.655880244212078,10.796627768050065,6.7428917424960515,8.93583466012651,11.26416890244499,9.932473230878939,8.704522202945693,9.268861853477762,11.782490600468105],[13.537755770760164,12.841295191085914,12.689431957150445,10.675921553383263,11.745662890590681,5.225694651230296,5.55975257113231,6.578800471253699,5.391856869695232,9.37749383183361,11.548300002276191,12.450996173106528,14.076520749748731,13.94162755164618,17.985762473741243,18.99694464048012,19.13557239041966,23.81280538299983,27.527149983758886,29.156723436479002,33.06536082882703,36.464981657325374,38.02482128038728,38.00338957522148,34.912184090155456,30.854412765820317,28.048897013433056,23.885780320933815,23.321256007433604,21.521144028409616,24.665433262157947,22.821600750097463,25.88758221226957,30.122177646136674,28.184293080395488,27.417651465021763,25.685763836145316,27.88075770335614,28.252946498989886,33.85824276658498,32.02464840743426,32.671568112830116,36.735811352926724,37.31100748731262,39.314501713094124,38.96196295951341,43.19255714714713,41.62693531415214,37.6912671573555,42.40123776490405,44.48945432887026,44.539080172233156,45.51019257621576,39.00860028468095,41.40345314182508,45.19796030322956,42.67072657194347,39.21579685639333,43.0815847193934,45.80469487974694,41.46816432087468,42.13415789345771,39.87627854219274,42.671626295406334,40.50360700753358,36.32782776631062,34.312263278723385,30.483855145285624,29.089976062403267,26.01396442188281,26.442133436303866,29.15717300302983,29.58481422121804,33.21644158477294,31.057265281926156,36.92888054583621,35.645333515032036,37.467941205104154,36.42307165904264,37.88800076803724,35.17105479452377,35.498933889884945,32.253284591600455,33.36660408063562,31.419135810834224,29.363746301018363,31.589621005308178,30.988524716372535,31.710570034507622,33.60064172101238,31.84423432750784,34.78489607706962,31.045686075486156,28.288966636235997,23.66419049232647,23.987043746027283,19.88691846076014,21.032397752193415,17.916312303103588,18.723207529943405,21.074433793299413,19.735767228825612,22.549762058505895,20.648699738032352,24.87249688253839,20.776678647261022,23.643333438493258,24.142025129833037,20.466859498414223,18.773510211808127,14.389972899585345,14.905236354337044,10.770445527321892,13.696338112100735,13.964497799350493,16.38061643278297,19.545458567379363,22.227089765267454,25.828155998762377,22.448186290237146,20.530492803734123,16.920444838796165,16.72288719853813,13.570773088057818,9.959980223683793,13.328615891243862,11.043438899654817,15.124264954788341,17.731019269601155,21.441092936694922,23.119810691362837,26.716907671920115,28.07243016066186,27.021668752190678,24.90246754713694,20.87765255203285,21.134601980348453,20.149170585403017,19.962129517638473,21.31182889573298,25.113228258637747,28.816047918937457,26.501160265144616,23.324475990584023,25.499812565640404,22.52079411006295,19.817695689756274,17.180045602261274,15.85870336632549,11.743631328105698,12.330034739302846,10.328670978112605,14.30625959577922,14.106037062820468,15.401178608919324,16.03758982387133,14.81570454582696,15.794473814519158,17.466532792347692,17.96582493624994,20.059858631188472,22.691471972605378,23.09345537575765,26.882153734285374,28.7850757529588,28.373089567048552,29.938044808890776,32.86066370261252,30.28716620970771,27.030597929883626,26.01644753332088,23.771511657645128,25.6666438104242,25.371676889809834,25.32445908231406,25.08988697782328,23.341292806432513,28.013096361259823,28.84373713543549,29.459003310822396,29.22029940628313,24.94982936542358,30.17647048418641,33.29083633031277,31.174033295201454,34.29424570836655,33.345376183898885,38.389038450119976,36.84262186419695,38.36977615574931,38.791022427787745,35.18768884181734,34.53808387281469,32.15474516996631,32.16025757930392,32.57585487657789,28.06613916416598,28.53685060143078,26.304354476519674,23.29541028511592,25.959585565739086,22.894246433842135,19.739249157729947,22.514810841835505,23.848219456544424,19.107562941815946,19.04135119178077,22.65036644822073,22.124223075749743,17.491004159595473,20.236650571969033,22.409156442526008,18.54336407329043,17.922472644152755,22.85480919136853,23.23970956722391,26.951475115511904,29.0453845727326,27.572274201801182,29.840510738781113,34.2529973878854,36.90297705991711,38.68934122175921,37.97883951844611,36.6027000616807,37.77669719862584,34.42850650194418,38.95169886769001,38.92330920892651,33.18827922867246,35.23850693291218,39.735675015169555,36.63184653321689,33.774663230164684,36.72037250233392,38.35194221343736,34.40313132647014,32.3295708230382,29.077630357290865,29.135216144451377,31.747990062738417,30.242580910282914,30.860624508907673,32.564657657282936,29.060859322771936,26.731595248778802,28.35072562301375,27.212480646293113,22.727413490804068,23.196068171536737,24.231856717293113,21.602785147354936,20.238258493023128,25.242672973414887,24.791719335654253,20.745089673805325,23.950033185217556,27.754305441196067,27.578955568639756,29.703384348681922,28.30400914157969,32.575636575606815,32.07731276092843,27.03151714152189,30.304781203119877,32.99030594243144,30.49665966816265,28.954137787256222,34.882867180313006,35.108274819541194,30.408208470960876,32.100470080706806,37.22762960448354,36.34018116156695,32.98253425633525,28.821212025511418,33.77011385955112,30.55908610524496,30.319047481002368,25.329636689046218,23.022875969109915,18.427698621447448,20.85612468674245,21.889520505803784,25.554932973062158,24.73207830215293,24.092084499172888,19.197600409142478,20.64131589580607,15.972540915292257,14.19118878756653,15.676414969064426,17.085685985358058,14.826131227883732,11.206718417184241,13.228816163845321,12.531648905270854,7.358135393792813,9.10391160989063,12.783371240489291,12.547703435121704,11.588459081073552,12.228310751250792,14.788086365890624],[15.474434295398387,14.074883039042238,13.077287846032995,9.62997902063957,10.091995264398705,5.567568397714377,4.274015102026664,7.531993824747961,6.056691671344925,7.953595207862861,10.99912397201123,13.069462202010696,13.014428378421508,12.23392835634683,16.946064437755965,17.96577933535059,17.11112532842281,21.774761175874026,24.911590583928447,26.7610934092261,30.480262228680935,33.9025868957072,35.2447853035367,34.925414197374295,31.936281428292048,27.852866866214953,25.192844997333758,21.142823831481227,21.226849076239304,20.13966086428686,23.628290989634188,22.357325845726518,25.83410042723485,29.669881077564597,27.39205293696044,26.006718945894637,24.590701731800014,25.888577991074534,25.942943550229362,31.73492362180674,29.335011453125936,30.072022116417294,34.2540719034074,34.53186601905451,36.24258243487348,35.72738751292861,40.00152738911818,38.727271462896205,34.7746891003339,39.40669973121848,41.76018810132813,41.96377632055959,43.10650579719988,36.62381122603853,39.3918319348451,43.0627217843399,40.259703107645876,37.10583384803533,41.18810324512684,43.53020979968937,39.18645977039491,40.18453804767684,38.18610223974596,40.62552649422814,38.21961617126885,34.24115346430175,32.056331622107415,28.520287695072266,26.800198801630582,24.146071646194372,24.247567570509347,27.128445115662174,27.883086847948416,31.26033249306774,29.511007231560875,35.57758840086567,34.09162458564945,36.367352757267334,35.14973267794657,36.37513855546785,33.93693722369982,33.950945857654865,31.196309644218093,31.999683786516048,29.593445231315155,27.790290076872783,29.82446464974157,29.886856401949753,30.189486595323796,32.74871931332106,30.787954876103232,33.88763556065881,30.343264326526846,27.972758330526123,23.239542952048964,23.910666518236567,19.645934007687558,21.280718797028054,18.52518185591302,20.343431157528755,21.57612608204374,20.70781890022398,22.54616739755069,20.864950787753322,24.455031757074476,20.327983404756438,23.562377125605675,23.602359801193735,20.027004182240372,18.772612021808428,14.12207959285851,13.705982020584962,9.38531728869442,11.10691731885921,11.261841131064138,13.016326761885725,16.436869548395066,18.666903278246185,22.645777186159577,19.73075695685692,17.532728057359087,13.976629992955782,13.047441196497742,9.884082721908788,6.3856362026634566,10.109646705236571,9.428227496565434,13.17910081291388,16.302823728093355,20.16510993535254,21.510978364144037,25.47924120789694,26.27208128656818,25.642371215967884,22.78269604751217,18.495940108797637,18.535015926912063,16.953444678225377,16.305785243687353,17.858933203359236,21.30994011744822,25.209498162513857,23.101797107363225,20.019999350225596,22.546426129895263,20.007633464169285,17.10555044417783,15.186866799520164,14.441524258734923,10.960553479326457,12.794685700822658,11.958493009041796,16.5336700537724,17.2849060498441,17.81657704504279,17.70806094341645,15.560620351251963,16.38915364615334,17.112169480613094,17.339000118749787,18.265696695259468,20.74775312581617,20.32463720247391,24.448552405690215,26.022149510918265,25.12311009021927,27.051143767081385,29.74370579653544,27.301023673783728,23.821321532917462,23.13817242961769,20.79921907835213,23.20752814538107,23.36123738845822,23.680898394724526,24.09826312852973,22.378276601196127,27.423121056628442,27.549349328792715,28.372955422748756,27.430749748359123,23.66042355697815,28.614499867604618,31.484767923920675,29.056657195403368,32.0351030688689,30.94878702164562,35.86102615774096,33.87105896372093,35.627652820103116,36.030778331027044,32.610760854858206,32.03368491008233,29.817789354367797,30.116213457801887,30.7582883421105,26.248549112880983,27.26175200289077,25.273095049990328,22.69358476598913,25.877161838138655,23.3308502383316,19.740904740224817,22.411939660122098,24.47213023771293,19.97856630529006,18.98852686564637,23.18758968714636,23.596998435553292,18.68021316260513,21.143462436599044,23.87938591631543,20.48592186925246,19.210122268873498,24.066414570909938,23.891891586530665,28.24681588771546,29.2471082338193,28.063995359914305,30.794119027069772,34.99789629933474,38.06806369689129,39.52822332177428,39.05398306131097,37.43362105770165,38.599731642843075,35.15393781522657,39.40523617068706,39.28916686276344,33.3103899768063,35.29119116411113,39.55834608376511,36.25233448466753,33.24969882291905,35.947380548872026,37.41985474575773,33.48593684470324,31.040341702055684,28.32876000340415,28.639790674499817,31.595629785616985,30.667896767250394,31.571811509080455,33.82536684368929,30.234980001318895,27.541175438593356,29.80948888246705,29.033918558530093,24.25829781025059,24.71371588995385,26.422934947988207,24.076203731466013,22.322735233105586,27.401156467130512,27.429429009909185,23.457958567888845,26.159203873448487,30.009440919238365,29.379751618975078,31.413929851413485,29.726307719421683,33.79824341711128,33.39106416588893,28.02100415800508,30.996985915878113,33.62121766574716,31.057135420438563,29.022968837684072,34.96535930942783,35.142655700848266,30.128975893120632,31.530066913583234,36.79171483619675,35.83329972442937,32.251671988049736,28.02324828766873,32.808099903425386,29.482830350674135,29.927040086981798,24.723580027451003,22.782419155246444,18.356393252885837,19.99830727482059,20.761061923020847,24.203864114417208,23.259983666906592,23.226528073922672,18.060216607446,19.630341567751596,14.605079765972118,14.147161454145047,16.361095730472947,18.509300283363153,16.54978378897708,12.335258677026346,15.006833129773531,15.26374572546887,9.662027904424788,11.12786487635345,15.553685399977454,16.027792545468877,15.209323829086204,15.749455762950989,18.280447854830093],[11.772826504686108,10.164880642866057,9.974478393598941,5.503277987905787,8.948843839127237,5.8702708972915705,7.812335824895092,11.611370966473327,10.957639504734708,13.135732041708847,16.05140506062667,18.12611066658089,18.236400165797967,17.1259941788813,22.008754699649856,23.155800994720792,21.986763974554837,26.570082822048192,29.23104034090006,31.274259961653193,34.80186098984836,38.18873313730305,39.32836846567925,38.64474248587764,35.780692273602774,31.747156105322084,29.226444565903353,25.393527964682633,25.98659596620564,25.190290094726937,28.78061482289616,27.587458083368865,31.081036352158304,34.9156385042823,32.575797580174786,31.047299179823213,29.59375034586523,30.516086729569732,30.221176900266645,35.88710126169059,33.14748833254433,34.24975208011143,38.456196689164436,38.33605526750895,39.72414838017011,38.79849709672818,43.10943892375728,42.265989734517724,38.07505984657815,42.382941396961584,45.16701963618526,45.4143437872304,46.86994230429342,40.453382633380805,43.43650231368598,47.205849511640174,44.32833544063138,41.42825086877058,45.67549064131894,47.806198548401056,43.60189672413069,44.8874223238051,43.06588860884313,45.30214377667064,42.732828990310196,38.90972538583444,36.6143778200339,33.28990714180253,31.24627427275873,28.78311226892626,28.5340569702698,31.245459544948577,32.44191875167686,35.816500231844635,34.40870064075515,40.55282824881766,39.06289646707898,41.493343590756275,40.202098381033785,41.26028700961018,38.820185481046025,38.539104346812756,35.79752302568672,36.21620564369695,33.67461071241086,32.31708266007458,34.507101413999145,34.83509721268731,35.15420369885024,37.930249147636914,35.93154788756637,39.0037081132896,35.47135854503926,33.157139040611675,28.413576579825065,28.926594254719756,24.62331936387661,26.471382639957543,23.6564354828936,25.076751414854524,26.630757646259053,25.23239622963584,27.280772177955534,24.950921671263103,28.062741252455254,23.50265486095035,26.13592367959487,25.52305529066042,21.44586057082102,21.060703520935537,16.160583088960188,16.868055330879535,13.308000616521559,14.752018466337182,15.73657710612828,16.676332570281314,20.41859004987518,21.85090292830203,26.332894317216788,24.017402400889267,21.454425621221052,18.097229882705633,16.142918527847172,13.253710202345001,10.137006953394424,12.536470621248963,10.806677139234239,15.173828384051513,17.827007908905685,22.39403484649587,22.51258449546961,26.716371785729706,27.78758283033397,27.9426390370842,24.658627460979233,20.63685116542505,19.231929319113927,18.448394575350992,17.88129155512283,20.377266478285094,23.39728122062995,27.794907965184457,26.345906910731564,23.358028663735706,26.21439496191856,24.266827247946676,21.171869332233292,19.744055251115466,18.81678758355836,15.661317597634701,16.807690000490553,16.260359552375995,20.311204331280077,20.583592650759293,22.00617115431433,22.22645619165999,20.45160629829245,20.854072346620224,22.002385045784003,21.44415437258544,22.011298662794026,25.035539944524427,23.788618278470395,28.162147772584017,28.900535051605374,27.223257238611627,28.934606680508296,31.075701805291747,28.150563174385837,24.908312022728527,24.59246355058737,22.95311810789979,26.075587440798426,26.759404603459142,27.61889318265945,28.236429496405663,27.016892274671036,31.91290186743981,31.78373992415065,32.32065899289596,30.905141919669042,26.95052844472191,31.431362357188263,34.09190660074032,31.74586430912143,35.22272258466106,34.51439988200497,39.09234427868633,36.66081264963725,38.23776948706464,38.196951281487465,34.944104941962635,33.76365927670134,31.277135435605118,31.31292184790444,31.401924620792844,26.618547051282086,27.462985569030643,24.803652292889733,22.871382930990602,25.383383531495692,23.331603726809263,19.652086489839835,21.143820033217125,23.322562533213063,18.915297680550417,16.715333140117668,20.91273119721788,21.94091690100695,16.235672454778832,18.02687590917419,20.982134712514235,17.828392227611047,15.561187860599995,20.234286396018973,20.045506509792634,24.81079781638762,25.545965048229224,24.974377445349916,27.850712505157222,32.32187889226803,35.340996361620434,37.171360092084534,37.26302826134424,36.003305968672834,37.667908614153696,34.69376381591635,38.92120756317027,38.1650099261918,32.29867618345651,34.874195929826215,38.738433443006414,35.0451065761595,32.47137463684413,35.52970967987269,36.22324060300734,32.018056279335596,30.508166448699548,27.436101337167873,28.90967976826736,31.745882289431307,30.56175448087124,32.1236985369284,34.28962575236756,31.301846055891357,28.06798381862364,29.822026622411386,29.68671342597978,24.996681470382846,24.43622867653473,26.217778792633027,23.996361252008988,21.468444963106503,26.31528222048558,26.45585544352969,22.122436853738474,24.207656662654454,28.177399537647748,27.398727734173516,29.948438090857525,28.753687001027178,32.66892856564389,31.54228414109384,26.140272449237074,29.62690530674224,31.643258860771574,28.71026661893322,27.134721408865406,33.09558627402171,32.52676491853968,27.46533217517408,29.495846979071356,34.47114377851985,32.923118323087095,29.28069752832911,24.771707632165416,29.27495343466469,25.569550494047352,25.919341846528788,20.604791132941827,19.260403653115073,14.654265385038963,15.7671297267818,17.15511320372627,20.745497887268712,20.51479237746075,20.97774705193441,16.569722414977253,19.224182787906003,14.740354484597338,13.546665335692856,17.120716273368743,18.881394371267405,18.14311888285607,13.227558595457731,14.419873459448038,15.559641165677377,10.957136483658074,9.664242299525432,14.246614997508273,15.784280992463602,15.61012558939591,16.840623991016866,19.372807572587313],[16.89006897873809,14.749742829950728,13.512241801242162,7.99472979826474,9.812193267427364,10.4140684687022,10.583912658834086,15.054949062398222,14.13319634303857,14.286950566485553,17.520438339368503,20.55149507643273,19.01229164715003,17.155793633837924,22.35557521394223,23.49413445988072,21.11781955436173,25.297889481711746,26.86052997494805,29.22335132623887,32.272049942390446,35.61402697823728,36.32776780823964,35.13392716449201,32.56700730217949,28.622440441542707,26.519617928839306,23.125767012738535,24.726903919711376,25.004526179467078,28.767437140197092,28.409846846955507,32.24157233327109,35.463814582139065,32.79313823151376,30.49267501493431,29.570754569069955,29.181510714203394,28.41225313466375,34.148549165196336,30.567242036448953,31.773554785260686,36.04087636963796,35.42064067850813,36.232336490185716,35.01180581032068,39.311182633796264,39.03412337743118,34.9103300106029,38.95843557510486,42.17540821978635,42.67082276796633,44.39478379845363,38.14585288465997,41.658275379888764,45.15149028611258,41.88141796451506,39.52835800015528,44.01712324228718,45.50448794389509,41.361034425766505,43.115829744671764,41.71301527289339,43.33673381185427,40.474448950125804,37.07112932464024,34.52375231399743,31.773184253910653,29.24622269177681,27.520904266832613,26.732660152880463,29.496686694201816,31.210582280451003,34.1242791352084,33.422579198533704,39.67177935850922,37.9858147830586,41.00228399605811,39.53541004518378,40.24979893638892,38.29283709788063,37.58959148085678,35.63362061221845,35.607086557167214,32.47544588784685,31.541293515007638,33.35120085020552,34.608262585592485,34.29337425738391,37.89138047519077,35.634830640599354,38.79628498581059,35.60869166677227,33.87002340351166,29.158598741169243,30.02352090751966,25.705678009359808,28.109114145290462,25.81958046827289,28.27287692972092,28.63609943363816,27.864732138318242,28.7533798956576,26.82001025150695,29.045717111906328,24.669560366542147,27.636179769771005,26.433130362088782,22.70485691434047,22.925384524186413,18.101527410825906,17.63695184974974,14.471820505792452,13.981464766980853,14.744116810511525,14.183315938682814,17.918121618902287,18.168701797439265,23.07874437282118,21.811006266344602,18.90384047002142,16.09921579992873,12.808448372974675,10.703408675662796,9.173170824237964,10.78545515014312,11.84489330666084,14.97028823583325,17.995660352456397,22.467769929230517,21.93770402924196,26.51392220093281,26.67781419701524,27.555340677630166,23.233960570787072,19.106390468185424,17.11200483949657,15.434687391519814,13.92757225590777,16.955154333683343,18.85981163748073,23.578474676860232,22.72087572934126,20.15567107208261,23.508499055178362,22.49787587188471,19.341891806079474,19.218702028285392,19.16068390841049,17.1247938653548,19.406060611793023,19.8116045356574,24.32455706213957,25.409487919114536,26.03818119134694,25.589918525642503,22.977467366667828,23.282909536298174,23.324360344401157,22.52347511864182,21.492772798673368,24.101409409829007,21.56052953305406,26.239289327459474,26.297688697300035,23.67826058301373,25.959996569075273,27.498687023795572,24.824813597181592,21.321068521052037,21.75409581394497,20.18664376469108,24.138326200855953,25.5601008477133,26.95556356590475,28.457600931197952,27.325964993236585,32.51052432836446,31.436080634347327,32.245546517676665,29.847694417524973,26.80272735435983,30.65790457471503,32.83468268018067,30.08367782210031,33.250558001365214,32.36570677945158,36.56957738321789,33.39678247471187,35.32139167441298,35.19942464385985,32.373395862803484,31.27914698498741,29.125624764221335,29.62463046317894,30.02226090520305,25.385740072059114,27.068568971171672,24.853506161989234,23.744516235407378,26.84543891302379,25.62233397359963,21.577948878748156,22.767117936361057,25.854597072548785,22.028141489697806,18.698582912994638,23.432833508319256,25.65182385965954,19.98207055955704,21.246075428087753,24.758656998327805,22.3773964460989,19.50018659645659,23.687444263517364,22.708622607896487,28.14677067962405,27.216207152612352,27.16631381408508,30.602163163777533,34.638131864477586,38.171219102718695,39.518852991443325,39.96220114149902,38.39524153317232,40.02475359765942,36.98492050002055,40.743286450821294,39.8541966338397,33.78143568362995,36.21327643900442,39.631137978059286,35.691118620085554,32.994191401673454,35.60933462480325,35.967878881819345,31.871996579025627,29.898839301565452,27.77527383696985,29.66113173307349,32.89601011071448,32.55518113508833,34.463068661237855,37.29470911815758,34.24599860252754,30.65204395117463,33.18855523856224,33.466429718448474,28.553069030469313,28.04825582169535,30.55770685936479,28.690809641996474,25.882697747414486,30.668571085328132,31.346152209089507,27.236336303747315,28.72838169775563,32.62686854128116,31.314529380360067,33.66638536904295,32.127116239010775,35.67882447436818,34.69991628375605,29.03593610602202,31.99543731098254,33.84513229529891,30.890002112073393,28.671336036345092,34.452047764047755,33.77515026611107,28.389002455991367,29.93608453702044,34.951883771356776,33.26952735056205,29.357257732659708,24.87102860952,28.867322783604084,25.01664853326335,26.559092119371616,21.130850629850585,20.606549154420225,16.7014957203261,16.19201967708108,17.060484472679562,19.993384998742,19.69373033414634,21.308296377310864,16.906130590661164,19.6728397165674,15.176201125051996,15.9886479340749,20.094503732981348,22.584828999344932,22.083161735764065,16.99586268562722,18.858538440429346,20.689749471398528,15.80876151226731,14.937357902278775,19.724925570986528,21.59888422103838,21.38506113727233,22.370519031957496,24.876473756575706],[14.37522329951516,12.686176764232973,12.820214287218448,7.36431065274783,11.632366704290126,11.5226072913394,13.042539224892948,17.282096094467324,16.227120228762146,17.259199967909478,20.162887745745596,23.001564382640925,22.347780739024405,20.330669827773587,25.499220650562492,26.910809480913702,24.930141167879427,29.14674021106327,30.830063956439712,33.36351674385655,36.398648519868345,39.861473529419534,40.499047611713124,39.2987368684642,36.836779082373546,32.82721085301703,30.822382228783873,27.3573654708421,28.782518089193683,28.835917232545263,32.26648836430182,31.865171411423663,35.481823951502676,38.93682546495954,36.49230623300679,34.39828452144417,33.451728810125466,33.387858978796764,32.72535320974915,38.47119727606767,34.950639302605076,36.10606978690649,40.391582319093,39.79954423658588,40.5661847653943,39.30601352423446,43.59412973910343,43.398049758409506,39.259866403813504,43.23612833976664,46.51853401320548,47.0097692582434,48.76140977168802,42.512145614795955,45.98330746208885,49.51802384207158,46.26540783006145,43.871639703668606,48.33240534965222,49.8671698440147,45.66757403752448,47.31033453544538,45.78668197127474,47.4252154839894,44.65689878350222,41.22715371138392,38.489234755030786,35.63937966238254,32.94485104720219,30.96242193066036,30.088078784292364,32.559401764053945,34.465468515093164,37.65455760888731,37.01943805170826,43.295541552677044,41.88300909596792,44.78712620193908,43.49317468386834,44.37568290055647,42.364267319272074,41.78813089876758,39.642924191342296,39.70272024309157,36.6901380870523,35.69115022913881,37.54987414832803,38.583905803218045,38.311982838344846,41.63600664309427,39.29648104851529,42.26031797057047,38.90913037319351,37.02021366721156,32.2738737258596,32.76037345352893,28.402467444782648,30.99659307346311,28.56122154526671,30.57947059035223,31.692144345490757,30.690412675381978,32.1518086416862,29.9792680947786,32.46878011617084,27.89274793723247,30.518953574586995,29.27960471886099,25.23219685823976,25.573312584190408,20.661745453067237,21.008270179720547,17.80243799824424,17.970652303911443,18.748687476279564,18.46375604972765,22.115507193807442,22.371765862736535,27.066375519637308,25.72647900226987,22.684642657295917,19.851397526339454,16.831921176473006,14.855266518853828,13.057870669851205,14.853092293879067,14.632365915586934,18.352912208706186,21.01965047248976,25.76441322904633,24.889176332268818,29.41156036433579,29.983488963517193,30.997807310624044,26.832520843639042,22.894770902102724,20.429733637619403,19.38685898192425,18.0944263825486,21.280244859240632,23.02323661145122,27.810825991017953,27.040015540645992,24.527336816574547,27.88985731471736,26.775873060259116,23.62590255754529,23.22618528670174,22.909538962506375,20.414614645557005,22.157881431430937,22.01028135149631,26.241680614846306,26.550771120678345,27.787600725980166,27.91436954154782,25.766541159046028,26.18928485907271,26.73471084846281,25.99424712777291,25.45386005581378,28.25487974499325,25.881198196754404,30.541837023367304,30.524345297950553,27.796125462073622,29.882812603872193,31.231717888590733,28.304206185468942,25.035087457215468,25.51498995431895,24.257763742804173,28.24327430944363,29.63268505677236,31.00532507146985,32.27463342308302,31.15813870284901,36.25930922802029,35.45416650245217,36.12871740811547,33.897070294064726,30.53157853616134,34.4092999590528,36.63043011972434,34.02750402422785,37.423428984579644,36.672443858134585,40.839701505131174,37.64148476373053,39.4531960819359,39.16613729234945,36.35714325641841,34.98412454190986,32.64419491118513,32.88953258274721,32.892673352269206,28.11518023993751,29.43657351080175,26.69922162487116,25.750559784356465,28.18359492091923,26.98183351653337,23.103986184098193,23.613293412149133,26.384244708308085,22.493448375882767,18.805673177483044,23.17914973889953,25.34435092565648,19.267218641441897,20.067916516062013,23.4117224475545,20.98326498675327,17.563246761071163,21.520828712262755,20.88313704437361,26.335815423282614,25.761396322015127,26.18450381547101,29.477819944221654,33.85772521817038,37.089385561975185,38.94540795309146,39.71834984264047,38.57432166027526,40.56706518327408,37.90807516323762,41.79493618666359,40.51070477008755,34.65670464868433,37.523442451592146,40.78298399287232,36.677061238134435,34.36143650215447,37.3343935128215,37.225225696666385,32.93949108620469,31.8108954057966,29.19280995318105,31.677455233483375,34.66928925194584,33.8675034248989,36.013829193673736,38.491863967972414,35.82236228185543,32.12514393417109,34.00108889089535,34.44519820702042,29.735135779526185,28.650180010063362,30.80662761395753,28.852973634686528,25.789982236775558,30.340915879178553,30.783608504215536,26.383963414641777,27.71036359288691,31.648979026726558,30.51776600765045,33.32079802431407,32.31707615749044,35.863425718519565,34.29030777162847,28.812420377456775,32.313110083551535,33.72396723503881,30.516475015650887,28.942620497437243,34.70752405568975,33.434557209409334,28.191247239445737,30.406580800597304,35.094715518997575,32.92733767823503,29.081632288878463,24.383159506086457,28.119319808866706,23.90082110711165,25.04567363361806,19.61443793735132,19.63040502057236,15.522203011310442,14.6930687826872,16.43478072995294,19.565104485780466,20.056347106237265,21.813741278649967,18.180172658651816,21.555867427473107,17.519593975960415,17.217978667517567,21.67732076479211,23.609015256668826,23.5305648887797,18.347438125681904,19.152075740711204,20.970322456041014,16.76057691909416,14.590747261324369,18.960607218362597,21.04455749485408,21.067287369325296,22.308999489905112,24.74896168449672],[15.952180820754378,14.365499399389787,14.817674311706256,9.756593565600008,14.181351702663646,14.941724243526965,16.62571669780342,20.922559609991264,19.879294257997593,20.733416210917497,23.579363667449623,26.568505905583958,25.7720496219126,23.515077323456772,28.706661577129516,30.199982761942454,27.970680582932026,32.00793455745121,33.26420733609821,35.965386494717556,38.758697550657146,42.205019838013065,42.61140365690186,41.15312916565856,38.89731118207358,34.96485363981457,33.19864766598337,29.956076482621583,31.709738222201022,32.05952682124871,35.433554533254544,35.277866541572706,38.91879268729264,42.25033747479938,39.77359028204987,37.49287508418803,36.69789110357492,36.26386683165654,35.42207009205995,41.10999417471098,37.29010593373681,38.529011565577505,42.802604966172154,41.96237354357854,42.421910183975726,40.95697693552219,45.19361215841857,45.34261008581896,41.21295094570714,44.94414849632234,48.48233399534775,49.076082244794605,50.99357954945745,44.867859812839114,48.53500876233904,51.986790476525876,48.604228988907636,46.46456847334084,51.00728715848456,52.272678524890026,48.13291059432667,49.954737531911704,48.57947456920991,49.956571959437795,47.09903290452722,43.86375990509328,40.97267775380802,38.352249412260946,35.40616572414192,33.6420705366969,32.50773989315062,34.820054802822035,37.03363611829858,40.129083589817505,39.82885207504363,46.12258061101773,44.74552910177419,47.82371471622533,46.520629296872706,47.30653906368796,45.445632894637725,44.71470355982315,42.77572118310449,42.642522722530956,39.47134477620909,38.68528466954736,40.45638485204252,41.760514253050225,41.3061497459949,44.83038467188857,42.38430224419924,45.29097272536192,42.01547216151039,40.27728087313867,35.55111208566316,35.99411919937246,31.64289540928941,34.46875452752466,32.131227477966895,34.234804007282094,35.28887519329797,34.3056840882662,35.64322971109061,33.407278478493794,35.61567316430524,30.997654105746054,33.47303522893792,31.925533838367457,27.86067160135231,28.576081117904707,23.71671460104462,24.1525874610548,21.20096727019428,21.04337455655663,21.869418431407393,21.148842801394288,24.703563528215597,24.41956668571904,29.151192550485003,28.283030412918535,25.098358817521067,22.54962277285298,19.17605893960302,17.62741785483765,16.28891901035272,17.660815816557502,17.654792082415007,21.1317170174782,23.61206050608733,28.422923946229048,26.99008147548765,31.560769098895552,32.01593000769143,33.476691709088,29.011616803961765,25.26912495724194,22.229891526661344,21.33570926728193,19.883903216177124,23.356564601225543,24.478241109034553,29.374448316365264,29.017679416401062,26.754901931177475,30.269827225896478,29.554097509045615,26.413833611179808,26.387375417406112,26.202013093669265,23.93128277012071,25.69775381805846,25.67284327163512,29.858405439675895,30.097219106059196,31.425848707687575,31.586058269356304,29.40962924625731,29.77353769160245,30.23520197842798,29.32633189561507,28.43132318916033,31.227651290538205,28.39465252793954,33.111975053322354,32.66431908665719,29.444579851976176,31.564216785462442,32.44628637934983,29.465063953707162,26.35070093317407,27.20044143231364,26.280301896857807,30.606521862096496,32.307421763014126,33.928053230863895,35.4187689290455,34.43334833738445,39.539350261431416,38.48337852461181,39.137479986704534,36.56946833630198,33.390079379093905,36.9285044601414,38.92749210886479,36.2904090227622,39.72750534151864,39.057218721567786,42.95963356199789,39.41816873496746,41.24623345770562,40.75930468857121,38.19721399688454,36.626601334552504,34.3151866973327,34.56742463658939,34.398905570523276,29.66186604138451,31.0817853024542,28.217836987154183,27.80287235334323,29.980022723519024,29.215857476042274,25.36333155438895,25.23751541938621,28.15641489906845,24.589851368317806,20.255995557245036,24.4769472845404,27.138456177626367,20.983371976138606,21.187890333834204,24.586234763844004,22.59696548340328,18.663077792497777,22.035421985462964,21.23316389428453,26.879256850180887,25.67763068004988,26.71211383398345,30.121247017460146,34.44116904255042,37.6800657559955,39.62757645664082,40.81966176408753,39.83719583094037,42.06033871529081,39.677008158559175,43.382594320582065,41.74357705475741,36.01683685281461,39.101881989190545,41.97920811200507,37.668977137052,35.61252886319921,38.59748930585312,37.960666809157665,33.64802535612529,32.95677331652124,30.4783845805891,33.57385088640067,36.53806292643058,35.820348225209564,38.295880100102,40.82935382474211,38.435992757866444,34.512183791459826,36.27941073871811,37.05700294700066,32.42458807001624,30.965107185123035,33.218242987812374,31.41162081891815,28.071232927554046,32.363571924826125,32.92554303900025,28.51428558087699,29.392471754286827,33.257611354410805,31.98427503992735,34.95877407632472,34.17006883160076,37.48113814238069,35.57664307161664,30.18439043858656,33.74624035931405,34.7303350331361,31.38160679768488,29.98053668945101,35.54027183387016,33.78692546358346,28.58439579354085,31.005364094826827,35.38437545519691,32.81219282136828,28.950768972296604,24.225766096799383,27.382340946168707,22.906681356103682,24.371803598449933,19.076860637946037,19.95206318454006,16.30238008566947,14.424525669947265,16.434704025392065,19.17937409783847,20.236647540563105,22.61879376893095,19.703687022488428,23.42965632931751,19.861845062491263,19.687351888852874,24.48704799608139,26.341882238445027,26.681869955782958,21.42176890856711,21.835778526242876,23.942854135054304,20.097318755224258,17.392652656383813,21.50728538312004,23.867429951781805,24.045055833498065,25.372495747456814,27.73155550683005],[17.027502268457727,16.40559720032078,18.177711857359597,13.69960310229833,18.825963035295967,18.618488328653072,20.576565454168087,24.537621258742483,22.941171345329757,24.010136095458414,26.382906089711714,29.41333276683513,29.236509708790166,26.531213078354284,31.601848617776646,33.480697914187814,31.52709054590525,35.42515691328792,36.6407580462326,39.690376844268606,42.34565732455765,46.03588004066178,46.23194562834792,44.79321661688163,42.786862408572134,38.713917267735766,37.23499370866431,33.91568104567171,35.53928369048342,35.86638465859077,38.60553618843168,38.777090906434886,42.12569699438085,45.530522973547725,43.38391083459334,41.197814537228744,40.67583323077574,40.41368006721229,39.77693395457935,45.64437807330608,41.74891113640369,42.658261304915555,46.99625222257536,46.274432545865714,46.618555077624244,45.273587460385436,49.48404939847029,49.7085834285636,45.766419063278825,49.54483115927341,53.07745741420536,53.74383431251162,55.595008568253306,49.46468777356492,53.15889807681884,56.47371914392509,52.97108497601033,50.816721389247576,55.304371036958464,56.50419748975526,52.1597179311987,53.76853394369235,52.23908352447834,53.47134284983847,50.785078917954685,47.604216696594136,44.291789799539075,41.642722604637605,38.36403684734456,36.38832118005151,35.051806683283445,36.923650667904994,39.45239683450597,42.81327849076713,42.78005406618982,49.07782018860411,48.151794959555836,51.19232531721662,50.20385215416014,51.264812661970325,49.56396745661548,49.08937782754076,47.18896459525515,47.286421027609116,44.13361837853041,43.101381138830604,44.64702822345904,45.81965581757804,45.094477381266586,48.34711518694601,45.642401852445346,48.197225853877754,44.81336960146545,43.08202855308679,38.39207198335711,38.39067455443708,34.081022934337206,37.377782866411096,35.14637504117871,37.169584901820876,38.78564932392,38.04727776168472,39.70045172168336,37.664132203485764,40.2443652906532,35.63488375070413,38.104969225542774,36.70438396845106,32.542702759184614,33.106666987233076,28.209933048145174,28.78692326995797,25.538286916271833,25.615445829203235,25.942428448835148,25.34025599618004,28.62247781952106,28.306935314709175,32.55556651029065,31.676741108469564,28.317767282790946,25.889190611284064,22.86407991553117,21.646865014608725,20.452106293159115,22.42885090919448,22.2956898834468,26.003026770930337,28.49221062820241,33.327996086164205,31.964615008542342,36.49804609938075,37.060633456422956,38.46391881617706,34.068256151414005,30.28406326564951,27.29432586653257,26.328421649184158,24.670304285503672,28.043810177373445,28.77992081716775,33.640727663522604,33.17540061146666,31.106386993881824,34.697613158581554,33.84764075126809,30.785722370688465,30.65804643747607,30.581645084651356,27.97134955028709,29.698550783243345,29.048989218250007,33.13320616452166,32.59365128039258,34.1260270123101,34.825992225037396,32.90964783643407,33.65911091704548,34.203403745226105,33.74614616322228,33.13593271637575,35.72045138420063,33.07947014505897,37.79779078981545,37.5291301445019,34.26331085891405,36.53775908636846,37.31747840748565,34.392648488613375,31.27329992888195,32.223227391678186,31.241094618632015,35.548048153827054,37.16963232301543,38.63380017994236,40.01095114161181,38.754627966686236,43.94550216434865,43.09375105862698,43.852711634249864,41.44738276659398,38.24039153279703,41.92387310569275,43.968420542500596,41.31001305595034,44.64340199641379,43.81239460505536,47.77426758851989,44.148662405083726,46.13116633550073,45.68800038212251,43.18436810181669,41.65590991401808,39.365253388597935,39.603704562246904,39.34981465934559,34.600442135346064,35.89070880562436,32.83618715601706,32.42826177790245,34.262432791537535,33.404611652884384,29.710784938405613,29.329867592990894,31.918655309367587,28.29473662517874,24.034468885482603,27.819263309013124,30.19462608071698,23.94669281747245,23.84062011404005,26.847225222465358,24.739790812217063,20.608781796187174,23.558682979418172,23.26863004498916,28.61171036069756,27.907078520042024,29.388212852374227,32.52249485810087,37.0888146911366,39.92474869381392,42.36669801284725,43.809127118361815,43.199925423540144,45.66213962973727,43.547275789772414,47.34901156678583,45.47711662487975,39.9728833481885,43.291609205552156,46.07017345808756,41.70110324394017,39.90278503165083,43.06008012372038,42.14334013893162,37.76660365611165,37.557001991471495,34.859167316133,38.17922960992918,40.991346773023615,39.97356058835002,42.4834299183759,44.71213062707249,42.49451631111715,38.64428372301689,39.932142833855906,40.660899079598046,36.22040419510684,34.519101344772935,36.34194397110363,34.38797742893086,31.072734177766616,35.134264973036146,35.33827663397337,30.724487644024972,31.637126916370935,35.46025520419428,34.495216582829386,37.81694909121579,37.48825400391398,40.808200861958774,38.461563728128205,33.3562923724003,37.2985648118194,37.95363753107815,34.46725682681823,33.62548118694725,39.07569492729482,36.85971658448268,31.903281595367986,34.77756818418337,38.81244085900985,35.85510612536957,32.13859095364455,27.395468662056714,30.094207931534893,25.39368090617829,26.512416119941236,21.535258325158857,22.955913835691916,19.362820794540976,17.33380766739434,19.930640370739102,22.578660138477577,24.200795290500956,26.635238030351328,24.20339122553982,28.088683839600684,24.647489605020063,23.914820364576553,28.63506474162873,30.109065453462833,30.42390576392979,25.31048671113045,25.18670246393956,26.916757679518092,23.44778884245159,20.32574942378518,23.84364476208166,25.94687714064241,26.12462475655715,27.417115662990806,29.637579592460234],[16.219464169970376,14.81186028744995,15.881124561051935,12.235311310934508,17.071612107183753,18.585630125128876,21.05376704259611,25.265554849755482,24.751008430062814,26.091894046273783,28.98291839008791,31.704194246123105,31.14063770234787,29.12865156649734,34.30990881245552,35.718945808523706,33.5262363441971,37.61818831649405,38.811265826882405,41.40587387530529,44.17058979627781,47.46440114901725,47.862505039359945,46.228102890274386,43.979144835316575,40.20315680947828,38.38937688491099,35.294836640033616,37.14819402456818,37.42345052200448,41.033840710319986,40.618332394997516,44.297473148479824,47.73550778757732,45.17787026799273,42.948057074627414,41.9169855836678,41.47040837628463,40.433080306271485,45.871059959684715,42.055941435497104,43.63894383380228,47.83355609545555,46.74773651243303,47.07962245121172,45.310302472311974,49.48751247899467,49.885870235494984,45.56205803253563,48.952871024573895,52.73346519450641,53.27715818160257,55.42026509075342,49.402892876486455,53.09219013012544,56.691757767553,53.39433603109047,51.38071640828445,55.995381202739544,57.222959571353485,53.29241811932301,55.30799219799118,54.047994222550635,55.42651252970434,52.465351161630586,49.277409648753846,46.528156121178014,43.97605029522729,41.06489146976424,39.36698160211155,38.2120852283571,40.487855716126205,42.760893431131514,45.82419277954761,45.53003349178163,51.817381521161316,50.33413179631806,53.405809610869255,51.982778054224475,52.61927055700087,50.60905164920562,49.66179643284036,47.57073644726805,47.16926882954222,44.048917122698164,43.58614533994552,45.610918371502976,46.94146879010416,46.731056758320385,50.31431547072017,47.98970335726806,50.967098986489944,47.67343672196361,45.85062094914643,41.10978170528153,41.53012009711669,37.172858584992646,39.81365234336568,37.28931337905841,38.972052603508025,40.2655048523635,38.760174878690094,40.34948149777939,37.5916029789009,39.502652302656514,34.67330209853779,36.5952811591122,34.66832072247156,30.43587078455912,31.684755556122845,26.979220863256565,28.163376793516132,25.700669250951677,25.772274175514056,27.166710796439876,26.4169335308116,30.100361526905818,29.626365283825564,34.56330595846949,33.87729107184783,30.723089059177223,28.2057825982344,24.674471340350745,23.055600557531893,21.50990425297112,22.212056156940143,21.29931956590358,24.808267571159877,26.700032498404653,31.67164874079729,29.455535943735278,33.869753907471484,34.64347553920775,36.591067149049174,32.159496747066534,28.887003138051533,25.084794615004984,25.085360708693614,24.081980549115706,27.83829565736642,28.913663617092638,33.84897424410343,33.93234884399609,31.672763701614855,35.144800124434326,34.670638848084636,31.477333117166513,31.447160121638085,30.93504574560073,28.70963496165804,29.92285190696949,30.04796616993006,33.84042338017888,33.90777015234696,35.79189560188668,36.07974883508354,34.1930304614931,34.226480744333166,35.11558555934016,33.690564713162296,32.84504803137841,36.07185377755202,33.0028373741742,37.6846980172249,36.70689874911119,33.19934837175837,34.86340517256198,35.31945006174785,31.99863082039785,29.397177789960296,30.358748090401885,30.079623430842094,34.56688759100127,36.4726497920793,38.36914712114874,39.82643466434986,39.24442525297062,44.125904044321345,43.027653802069345,43.37984686314708,40.64809191104648,37.24856509687565,40.399684733665275,42.23794670724546,39.829110067183045,43.672296106008396,43.407155482079745,47.001473055551735,43.33623450344816,44.8361083688729,43.956383298666026,41.53924506385396,39.44916605188482,36.93105779593125,36.855464914964,36.132853452527264,31.422180258281205,32.50430460171638,29.19158761709184,29.391108467038848,30.74448993610097,30.49644425162762,26.936358183307476,25.712474248914138,28.461927361271556,25.421514317191054,20.440158802886973,24.000573051407965,27.12596032709415,21.064260791559185,20.300905829274416,23.517565519170592,22.282210010533582,17.766733830350308,20.01083914972722,19.12373113851335,24.738157383267016,22.985611295335826,24.875790701415646,28.2140667989924,32.49580453227959,35.52619581580354,37.77457131487175,39.57180883341463,39.013514967949064,41.656377745311154,39.85861308225002,43.37939671701266,41.14289569958864,35.82932042398839,39.36251997281906,41.70239793173987,37.18490099918117,35.70873916814039,38.92690090020537,37.498230048682224,33.12664871106176,33.53026250359285,30.814638609195928,34.82687096126302,37.49066732292954,36.54936374213297,39.50080050024268,41.84136674159003,40.07939914710015,35.88594320235107,37.10574396426633,38.4192295861437,34.10492260821698,31.88904129834612,34.08976529363512,32.55028581823993,28.79750984127497,32.490963266373384,33.184625599947324,28.855322547753012,28.9413673215423,32.58695552083623,31.184742127166263,34.459975839883576,34.19579896188992,37.12409328499202,34.58388117209951,29.54726295218643,33.345390646060004,33.58536499480008,30.04856250977787,29.269072336856436,34.43394069789533,31.88737057152456,27.006987751759723,29.998967747641696,33.72944975724464,30.546697436351582,26.864803662520103,22.189719139105705,24.543967353592112,19.80470529245792,21.137594872915905,16.31097108320304,18.327144311008638,15.464291587048768,12.51329705968672,15.138468515843433,17.419462355316785,19.481529808754416,22.260915564611278,20.76175737242702,24.973192294915663,22.385986546441316,21.657319618230986,26.805560909893824,28.199389528397777,29.373609961467153,24.182192254286374,23.562679943179866,26.09053049175699,23.27798425697235,19.4835654503864,22.86089501090388,25.756839878786668,26.31271719622653,27.917755182266866,30.095134508076693],[19.758613537855876,18.86237454982261,20.41688856540338,16.904221592818473,21.76056071282104,23.075406292369212,25.45127095608517,29.626465581613967,28.72667562260926,29.884372985504573,32.559618616328095,35.490110106366046,34.992534554194684,32.56799951595416,37.72673275628897,39.3723237861436,37.096566927341726,40.98443935181444,41.85044272293436,44.73973292874625,47.25462737885986,50.6671009462219,50.785275904957146,48.99711629031686,47.03623207335169,43.240936558362044,41.75585004820676,38.76786729024275,40.779943605383984,41.28781429893924,44.53509761667543,44.51328049089579,48.08950916016218,51.434653092497875,49.00656190271375,46.65284048797847,45.91844980138414,45.26090164431785,44.22714919132967,49.756225951770595,45.676446964273325,47.0851752166195,51.30703662491017,50.1366043494445,50.193456667243446,48.39465333609158,52.50395132610217,53.16506854506532,49.00439764719957,52.2769839465644,56.192858780257026,56.86705451052285,59.05751645858305,53.131566019868245,56.985171440815094,60.40733209111202,56.929077771776974,55.09346562939796,59.730085067288655,60.707439344237066,56.69145067765583,58.71243939051165,57.48190826558841,58.57807182301065,55.647208746625914,52.63809617222789,49.554708936714015,47.162661448201526,43.91499706469449,42.29094551473337,40.86493394987763,42.83524409087315,45.454123837147996,48.546687983994886,48.63168205904488,54.92931915492367,53.692641521854476,56.89285918991291,55.626748584773715,56.34110002421246,54.56288444124279,53.6571242066241,51.793355301983844,51.41173411465006,48.15928484712639,47.66826550469617,49.45519254609657,50.9389318392954,50.40110920160606,54.01810475318422,51.46552695868294,54.23228247488522,50.96135345832548,49.284684247791766,44.575024489458784,44.79179972508044,40.45835500341631,43.514251202076395,41.15458144454247,43.000272081681594,44.40614392657766,43.16892198461477,44.721598420579184,42.15391794979705,44.10056709640019,39.31136702862859,41.28800027767806,39.31089230586756,35.10827290042914,36.39272779531653,31.679496683599215,32.72716872288183,30.140506535058524,30.022841210730608,31.0657171740758,30.093388805234813,33.55048081860651,32.74195249137837,37.409167159687534,37.023246933701465,33.705843347829976,31.434904817049365,27.877613823397084,26.67859479579909,25.51381478160226,26.442962512183463,25.932279832888035,29.348833283844783,31.29959267857859,36.236626764109886,33.89803277901119,38.32631881349051,38.947434422618244,41.06303823963439,36.45219304022012,33.19328517926287,29.2929788812501,29.085747085581115,27.762928631027044,31.535431788160512,31.99328991784273,36.91520500534894,37.1492518064702,35.17322811643804,38.78266868074258,38.47964478283064,35.346292341043984,35.53616375325888,35.26166787087081,33.02734594591656,34.43012015898692,34.3424424933729,38.198713616383465,37.95700404495976,39.82170470493983,40.30877102013306,38.40739970868441,38.658602002586214,39.38827015516169,38.18599149292731,37.18741760061893,40.18704444833438,36.937155875607544,41.65509217331637,40.577964804181576,36.78082396351161,38.64997284427686,38.789705198882174,35.60090819830238,33.02564819754161,34.272944950176594,34.0353253318906,38.68449005891297,40.724794367886176,42.657180835049864,44.24628762038407,43.52747809571237,48.52156708735225,47.324248473201095,47.79441849113319,44.91830412299747,41.72846657455803,44.7803474602733,46.494706786642894,43.99502721378612,47.689396609806224,47.304900514959456,50.77554994115546,46.84210388289543,48.502999248780476,47.58847222927947,45.38584238323311,43.314561053851705,40.91711670331216,40.93691255540009,40.20002827175397,35.58771787388641,36.77529814102762,33.471336537759406,33.917912093435895,35.13610224708727,35.05394237358966,31.552278175871034,30.08434041855312,32.78759519133855,29.898725752432288,24.81314942817887,28.102597172821607,31.28384600658791,25.293221143925575,24.22448976928266,27.209474356851437,26.13811428168281,21.514038682908005,23.193008613926136,22.469107126459477,27.82962914700035,25.907455900464083,28.312108703264492,31.523158036374188,35.742544606862815,38.56337710044593,41.0147674891798,43.14544862531343,42.81033829730238,45.62269802071678,44.06161824503308,47.46701573524257,44.98921334941331,39.87070278054054,43.524200491305464,45.582033018280455,40.97878163545621,39.727082951005265,42.91547893486358,41.108055224142745,36.79088081541533,37.50289885089813,34.93749160834285,39.232779273887694,41.85662148813113,40.93101730227802,44.00704477158381,46.292873855360284,44.67552252242167,40.444299492223216,41.50824462753783,42.91234691643214,38.68983959197509,36.3214712818513,38.39872133064126,36.85802354982052,33.074981368752354,36.556079080871775,37.145070555454616,32.77926257805503,32.71993189845316,36.25472956992915,34.93106783453736,38.36473448747581,38.35632751099129,41.13615784044192,38.311572365935376,33.50603628422729,37.376260073084325,37.27112127308973,33.68006190739901,33.17232634955504,38.07175515157734,35.11413611443937,30.465448979924894,33.61450193768033,36.94885873352695,33.420287942816714,29.878780366397088,25.375398194280574,26.96790338219676,22.161492467055268,23.621126494826914,19.36373647128534,22.033305634182806,19.60207811546897,16.2822845672708,18.966705315187106,20.749762506693582,23.196460514395586,26.286267112055892,25.220492819492065,29.480853220859075,27.023015163910742,26.346496464345066,31.503718780181853,32.81155691858918,34.00783259387192,28.839130998858476,28.076910817831678,30.48620582692034,27.75357928610733,23.87555797156184,26.994489046920975,29.76906546810046,30.30566036174513,31.855979219848564,33.944371356787514],[16.85430186324618,16.601184871485085,19.133220781983827,16.44300422733985,21.942208123228173,22.388684896830583,25.318019426287876,29.131327020504308,28.34294571728813,30.17962436744112,32.69760722064821,35.234859952180116,35.438561136472046,33.2572369896009,38.323737854300695,40.004257880336674,38.22113012471908,42.34093304214548,43.7384579138512,46.525198399638384,49.31951968226793,52.80820467954586,53.15411234139339,51.616634714335035,49.45590885182093,45.537795985839146,43.80673420045557,40.5409491058264,42.134260414669534,42.17531774457644,45.346058952040096,44.957428487428864,48.361804112865975,52.01068469244946,49.74936891730445,47.74954343870956,46.76672741120553,46.71387750460388,45.889411900717406,51.45725307106768,47.74146213211403,49.1217519951653,53.37535209321778,52.449445217787236,52.81763244432954,51.15197589489098,55.338298218184136,55.6931478163606,51.43160940503162,54.897211439208206,58.627771838004804,59.16076245941405,61.23618184769072,55.15577876763054,58.767983937187765,62.3733923803873,59.07378248717025,56.92747586004302,61.483862115615324,62.81565373260517,58.7295908014272,60.520004064379044,59.058336600204804,60.48114176120556,57.681916452716244,54.42274392558079,51.42416442715332,48.714566055348605,45.65278798262238,43.64252512758465,42.44823928934169,44.41149768688729,46.81581083094206,50.18506025533232,49.92709600873209,56.2224215829178,55.094146868175606,58.01580712308264,56.842141996498306,57.740409055228504,55.705629715847934,55.00461173367407,52.73271831126193,52.55677446835982,49.570591077550596,48.87891781327429,50.870106949478924,51.91258363961571,51.67759547441513,54.903808357666655,52.45625054796323,55.1741226594074,51.70968646925987,49.746365058560926,45.016254684968516,45.03018399662341,40.70697968351865,43.55002525003936,40.972326295588665,42.296458440459325,44.300446190861884,42.761835657368195,44.86519221862773,42.0901901526707,44.40984224863118,39.518403629835504,41.27174156700855,39.52363457176249,35.13613522837606,36.22854800609276,31.540698898812323,33.1252027803341,30.43568994537885,30.979416657381044,32.12742412012254,31.68802593931338,35.28114302301862,34.99859296377991,39.63098912286374,38.727071478826254,35.477918867515875,32.893052431479646,29.731868307813087,28.132491748079065,26.407729474046313,27.624214859595696,26.18278150689589,30.055582887896747,31.842922048269624,36.87293119081215,34.74698299270514,39.02457571504195,40.125553898142336,41.939508189712086,37.77025055541217,34.50649433225724,30.778883928432005,30.928814089669928,29.946093145884948,33.62439277964545,34.70000245629747,39.633173725774455,39.54060186340163,37.28572388268052,40.76236902835769,40.02078769220685,36.84228756235654,36.50439863444744,35.87917908286557,33.22333630909331,34.13631664216366,33.65658040615107,37.15376883306595,36.405544867937635,38.71657499598496,39.57819362377345,38.11614559569081,38.397588788078444,39.6201059692184,38.49452039781293,38.15744126698631,41.38726809278468,38.65007748125511,43.325124523895774,42.55628561305168,39.15995762606093,40.787386376573565,41.275274387104325,37.88685511011797,35.35560212914338,36.23699171679951,35.934110518801624,40.29955133738313,42.03387760896975,43.753612920293236,44.94833787419315,44.20557505256349,49.07125192736472,48.3166890882392,48.64352531976432,46.208874603389305,42.550005019904674,45.89985023738038,47.86475726130912,45.551977875930554,49.465129618970934,49.17314275770846,52.88259543047329,49.2860741023999,50.78553779739001,49.900242139421735,47.430590433137766,45.275264979970906,42.65955351163084,42.42274271394023,41.48454922465455,36.74319993664849,37.47640299752296,33.865927114920765,33.978108886395155,34.74854157162469,34.34077898038053,31.10218033353385,29.549388566393937,31.7061152716965,28.673489323743226,24.00961761031835,26.799682609409224,29.407201141628423,23.465362907680657,22.303815850078216,24.825422638278905,23.56686421154418,19.01134542226449,20.477246568042844,20.369365511394932,25.255277765969645,24.416793867179265,26.762599339894855,29.558104759029984,34.10416409538464,36.48139532326252,39.39887410094591,41.47810053561574,41.476815401877985,44.423471066030544,43.05232117613872,46.69679456552729,44.1655866662562,39.27042546139818,43.10484133631833,45.33067088877917,40.834134322652446,39.756052313528755,43.250777968111926,41.527776300038084,37.11747517754523,38.24378078214072,35.094766113557654,39.31569401421529,41.67455562874182,40.232015797766714,43.20629494176681,45.05308422241158,43.63140073164029,39.56469808525344,40.03861290031972,41.33676453843164,37.378235314182476,34.78633679742794,36.386788471268254,34.74202441977932,31.03526280595879,34.276305891256015,34.53872010562333,30.09190934106945,30.089718598216585,33.56343754003171,32.58087706939943,36.262773815493354,36.66086441964576,39.54052676159031,36.41492154615755,31.91196430964432,36.181696594381634,35.970644191194765,32.331635139873086,32.411463001159056,37.33810723499464,34.24580350331562,29.880456446834895,33.47870671822514,36.67036042024205,33.092536711055544,29.764616195879952,25.227498215342592,27.05422175727741,22.292677094160727,22.753712480415032,18.665929755103278,21.084337727499722,18.401889097353926,15.801863868689226,19.003516294329657,21.20383862016516,23.81073032027335,26.289063001579343,25.414087499406406,29.720332877259754,27.366305703708868,25.789052366693667,30.74620816194214,31.560629350748812,32.847419196798526,27.91375413705126,26.512419244853476,28.638655075264168,26.537287297946072,22.18964731586553,24.669598919943272,27.3501376310035,28.030962854534497,29.696623233886584,31.640025347474555],[18.75665971202159,18.882709193427313,21.590392065757342,18.020597531723975,23.573208512745488,23.133653250233333,25.556266561832185,29.273757836818728,27.664685987260263,29.114995096945915,31.247701278411395,34.10185901432722,34.428022998958085,31.662490523102353,36.61970592710909,38.65398975759152,36.928787925144796,40.802463307866475,42.04108937265937,45.20865630940912,47.81367095229971,51.5800064317682,51.68640661057572,50.21948829655113,48.326509975567525,44.23133624167644,42.847527990665775,39.512243360501664,41.053582694812775,41.27319795442475,43.76352688354076,43.94740480907022,47.12074630718243,50.646429749931656,48.67586502527485,46.61428068216564,46.104506421599496,46.011938869527285,45.428913754716994,51.30400844666059,47.41267499820496,48.2864691407126,52.633036219490634,51.906332243967285,52.17541977638938,50.78769483230075,54.97032147606273,55.300463435144685,51.36564545184664,55.057064241604174,58.66484601130775,59.33673046019371,61.22970522728745,55.11362267130027,58.80734916583235,62.13496407746041,58.61851724820026,56.465037456865595,60.94613857601435,62.14016376982882,57.75629245385091,59.29520014784889,57.69411278606481,58.88849745513522,56.27636189369983,53.11424143611715,49.644148755128874,46.970361757286625,43.564279809458,41.45923925134955,40.0476566799302,41.64701953850212,44.328436775889415,47.84451399427257,47.914769749909276,54.192187136070004,53.49488389359645,56.46694060781217,55.621090167493364,56.799438261849374,55.08965028544153,54.694504275746176,52.69510169656073,52.836411066280995,49.74407403187962,48.68437569690308,50.24296572916547,51.29435517554699,50.56564131156659,53.63469857006577,50.85586605086483,53.22765189144164,49.75837292991671,47.95948527842657,43.30129175908785,43.0160300680905,38.76031661791994,42.178716986151656,39.90471700008956,41.61989706752549,43.72352668852328,42.86027229544548,44.86050600541549,42.68981409652507,45.40232237092181,40.6932704856217,42.91839245994785,41.47885204198476,37.177112316822516,37.83879212002441,32.98686487037301,33.98549286818108,30.76617973638471,31.12101783291168,31.471851581212746,30.981026542476293,34.21763255784732,33.88205681505607,37.97238949509873,37.09647142722001,33.691419197122606,31.299192782056608,28.425129577375966,27.255141544161216,25.954194538336004,27.95563062328889,27.32050951069107,31.211900182090613,33.47810679733232,38.411757001566784,36.814163952438996,41.25489010574086,42.058250690547396,43.58230279585892,39.280542329110766,35.63844905925892,32.39809095389433,31.76739352670792,30.221553015730496,33.668322222516835,34.294437748634344,39.16198819683574,38.778607091817065,36.76379637986515,40.36494806393195,39.48563976259419,36.426382657668576,36.177383395308205,35.973809870157226,33.161335168239745,34.58299938662834,33.63041602571066,37.428912380299316,36.326039011386925,38.25413153342189,39.34911984152986,37.75979179019215,38.574947475208354,39.402281168325224,38.97607335742714,38.61544081785574,41.30439520982232,38.72340203715735,43.438902540151915,43.09062947391973,39.72888968672471,41.8795783550086,42.48745290573263,39.43146013194749,36.50246964364389,37.50009968755293,36.71929960830643,41.06041499646215,42.68794377379193,44.15753884512033,45.4116611116556,44.171348517002436,49.303900657272806,48.604689053575974,49.27990750752874,46.94988189424443,43.569967813089185,47.226225830060685,49.269667572482064,46.707861127751094,50.18433435352092,49.4416653700918,53.349751565397966,49.66823042967533,51.58076868247358,51.006224699563624,48.55461705933141,46.82922008372803,44.437873829362104,44.51002494341341,43.97179938166428,39.208565846960646,40.245495954986,36.891529703379675,36.67118784173818,37.94626159312488,37.190892276736584,33.74577560006884,32.822543792442374,35.06416100668261,31.622896893600632,27.292328005721203,30.466100646272054,32.72259811179231,26.585911543859314,25.94637272622883,28.493255971058048,26.622949819015393,22.319922546188828,24.433139198445144,24.552964184576602,29.42917803838897,29.026438613496246,31.066284783343107,33.86831833612121,38.54425003979939,40.918646732795175,43.84657562197689,45.67548494092154,45.52719386449351,48.30453468003382,46.6274387957857,50.42569411868447,48.1761551994752,43.03731978672614,46.67530409011016,49.19041561956305,44.744784399520825,43.35896925373555,46.73060253359044,45.35532462582045,40.94120692031496,41.47692558165594,38.50626650673855,42.27295749635199,44.840336045039074,43.49612505372497,46.18601264183369,48.08805783118336,46.25993125261309,42.38466643795616,43.09040611870889,43.98215997558742,39.83982066965168,37.68938786266373,39.152221059835185,37.21896096497655,33.810701122314576,37.41254625141551,37.39372308804308,32.74444621896012,33.362615330566186,36.997661345708146,36.24757828904275,39.89780582864333,40.12109666292952,43.28057709053499,40.38777108487124,35.71103589755344,39.9814472005034,40.12468976018406,36.52193120729604,36.34791657418692,41.52007878084474,38.71828985389828,34.156542474063116,37.53416000524152,41.04168163228122,37.639580736821394,34.176999976103325,29.54107488355258,31.61422005458304,26.821284187396454,27.501221621065216,23.127311184461515,25.17475636853668,21.973720802457155,19.717624234339766,22.76585819770582,25.168193311247318,27.415420753370007,29.8950911865766,28.25201615815521,32.369337678882054,29.353691974302706,28.049249179094858,32.802286473397636,33.82774119554629,34.462837697094386,29.50573899074144,28.64155641404627,30.27017554636445,27.521484771023438,23.7773648259053,26.53823754920505,28.646910362612868,29.0068192845703,30.401070106323758,32.39724865819821],[13.175037632282743,13.082333138784788,15.956375367468643,13.093627675805205,18.929373352166955,18.499661185597745,21.5077346157397,25.120056551703918,24.2537568581402,26.35742235124902,28.787470337137236,31.14580323211446,31.65953581653748,29.62443348023817,34.61271448477316,36.28840322548983,34.806499558015204,39.05104183002313,40.83548974744655,43.527720476594176,46.52690713145946,50.0779984767392,50.61188204763088,49.32655605676045,47.00283316434901,42.97811480243453,41.073132623020356,37.591514347862024,38.859786569689994,38.61601037389144,41.7060348776417,41.136358178920894,44.441096966981334,48.22160073584326,46.064883652793306,44.275167465897574,43.19599321134807,43.532093210494516,42.91359961060065,48.56531820446662,45.12065637047592,46.364927695916194,50.64395340416071,49.98056137567005,50.63034838610091,49.18372782372009,53.43665218238348,53.45798471818333,49.21068937866406,52.94635807905568,56.42717162446754,56.87820694968738,58.77246011681883,52.55969281382235,55.98407566940516,59.64739780460875,56.45504337065975,54.053851127865364,58.513802315561634,60.10428321589491,55.91933820188501,57.49255072554684,55.85533089125787,57.512643987548564,54.832188877013294,51.39015221536014,48.466952331394644,45.531282823302455,42.651060373142485,40.3933000221426,39.406670092288465,41.443744790358494,43.61064151517065,47.122037693644636,46.58496691133603,52.85560107845936,51.776169775455195,54.510970901085884,53.40675246697254,54.44973380428828,52.29793856541483,51.79880066350119,49.3316819207023,49.38706629162649,46.56297435567116,45.624134411670745,47.65795136206523,48.408675011606135,48.305966244789616,51.27365862126622,48.890997441835296,51.59343451932109,48.03776206848713,45.92574053800001,41.196889935002645,41.156421594490546,36.84664741333895,39.5445328809909,36.89127911955114,38.06907656532032,40.27652637370092,38.74635126773543,41.052953384587916,38.36350868958518,41.021235866144686,36.169452179093575,38.04433578420092,36.615999046067216,32.1939866172044,32.91751752883768,28.16927171663497,29.7687476432507,26.84356581984589,27.73700714120181,28.773025101194538,28.71615701529182,32.33818747095277,32.50323657158109,37.0421383880376,35.715954581617915,32.55833021239723,29.75513120135637,26.941252055179117,25.075904222185255,23.03338459074892,24.634372385381837,22.905829514174584,27.049437633811014,28.97671371092555,33.98532216122184,32.365959865114334,36.63091759389894,37.873956694563866,39.25785710778562,35.364331244033835,31.901800641269283,28.63701390558671,28.656966184376664,27.75987339081038,31.227326945365302,32.77369686370419,37.65732410398314,37.17474376810342,34.72591608307909,38.08866162202544,36.967873226585496,33.80038697413971,33.11337606083722,32.375200019912256,29.46003718434896,30.274617270867886,29.532366718822015,32.993657821992784,32.09826447953199,34.422260964561126,35.397348711530995,34.063713255066936,34.46507251051903,35.81713982509932,34.92312923954529,34.981721094431784,38.1838285591137,35.895658158290146,40.522884450530306,40.18179546542917,37.20566053257789,38.852328062379634,39.77818715798204,36.41760355001604,33.68779011967193,34.26297105830914,33.642362707314696,37.72214703510226,39.158596891334085,40.620632303588906,41.57634247906623,40.67032148954209,45.52484848150828,45.05871107170002,45.41836339890529,43.34065112240078,39.490605366196384,43.19550935436282,45.392756191293536,43.10005518937334,46.963624974713696,46.564074042697754,50.553054685801214,47.26271217940737,48.787355096715395,48.10856486556417,45.39283964241711,43.43480145426187,40.77908956079377,40.540439773849165,39.76502842203513,34.91807459346188,35.551441486064284,31.984364807093524,31.558465995530536,32.53802978018889,31.64591401400251,28.3690271782378,27.36846059777088,29.356396118701035,25.886796939723954,21.74959114191654,24.747114531876573,26.81637516471615,20.699332662926718,20.098363843742742,22.621186147556777,20.714099348737644,16.41047642397102,18.746429922739345,18.943584933349324,23.831276608379355,23.881765223117533,25.56182954918364,28.28557196256426,33.083928813451806,35.46632095716384,38.38587830055195,40.00393118230966,39.85557638267433,42.6040833832387,40.93180308368035,44.84695729175291,42.66933163352236,37.57454153149155,41.24972456950572,43.932270041055496,39.597972577542585,38.23132852643715,41.77950366657715,40.60336922233102,36.138839715215134,36.83303361897424,33.45588235217586,37.12498508699974,39.51777765918442,37.91401367270522,40.56865442755114,42.31301504830007,40.6150339123835,36.76558918160891,37.25967509380208,38.19842197518789,34.16224321419084,31.864472253540743,33.28444812066908,31.416215595883383,27.93465727952991,31.489809060770924,31.536341270308068,26.93128857558936,27.471572790175,31.13607163440746,30.36605618534756,33.998190123311524,34.238905187476746,37.451897305505746,34.59184926573252,29.916901772082255,34.283819572484745,34.533772096431875,30.955873464551377,30.89935062113345,36.177503144019326,33.56137014637488,29.028632134870392,32.520919820422456,36.14265714766739,32.95483409206423,29.540187497866242,24.842625511541673,27.4840931930085,22.828091356373562,22.933314747915837,18.341746783809953,19.84595535636908,16.370250388362912,14.74543947770012,17.98004253290637,20.81517447224576,22.934588170374035,24.865986490392626,23.283148110010007,27.405945761943517,24.62682161194948,22.738820102560886,27.447373038104367,28.228978270971638,29.153852680584126,24.286739067211847,23.014859108045695,24.814135673654963,22.545867619315487,18.351019825682233,20.94556377118808,23.380408988017393,23.970753677662273,25.610869806243155,27.630720908018805],[10.999996702311625,10.650261916498529,13.258982315469993,9.708048257258222,15.61127404592606,14.391809655662122,17.2448710048183,20.79556524045206,19.803582047890266,21.96636064354391,24.398212640125347,26.70451291852253,27.274164446865417,25.354140255038438,30.306071893635963,31.937329306975833,30.611652388503966,34.9354233687555,36.98944249525092,39.580474109939395,42.726188128439006,46.301621471634554,46.984334162931525,45.901102389945855,43.44747441052148,39.36047861399875,37.32266573148262,33.693919615734174,34.734095114204,34.32416925636062,37.39818427498883,36.72813089777923,40.0116226387678,43.8317278001463,41.70605343212852,40.020717954174955,38.900835015587454,39.46014907242382,38.99430176969558,44.71424958200198,41.46238560488993,42.578373621761976,46.86560318188276,46.409965436641116,47.27893825511396,46.032433383740624,50.321619820335364,50.06712935896815,45.87104951364262,49.82915757859294,53.08344439859152,53.49297214966188,55.22268375430225,48.92355991616329,52.21855603493521,55.8891078903027,52.76186962946839,50.186760104633976,54.568943662196745,56.32571855698488,52.07015303460327,53.4940955802392,51.75056070573408,53.56754338388163,50.962649538203166,47.39894134222273,44.56313027390386,41.481780293574545,38.7721410030873,36.37869621659239,35.5681245605618,37.72881545609679,39.67091921158799,43.227246924205936,42.4702556031971,48.71632239837787,47.61904142071977,50.24592744319041,49.16360066935826,50.287285740807384,48.083674233409596,47.72289126487761,45.18084787153457,45.41423609236096,42.678120081216214,41.54020915050978,43.562115165304334,44.146093247394944,44.10248387826329,46.9382067391471,44.60790653490143,47.34051832216197,43.755257626121804,41.574379546713004,36.84164439381991,36.85137192097421,32.5383245741293,35.1164163459853,32.44249285874378,33.67220503985673,35.84263898580189,34.42750291325307,36.737599332021034,34.21932525306039,37.114520936715465,32.3508863999658,34.46379661056795,33.32142227312639,28.95220953892964,29.30858366756852,24.482007208399935,25.862607367208767,22.688155064191957,23.752049058320154,24.6338720587752,24.854538990065322,28.4737444020951,28.99977905724188,33.45356943998633,31.81030783499229,28.75559727597308,25.791605557662805,23.254573069829156,21.17762555510223,18.921156288196958,20.88495983485252,19.171604194099555,23.454660349720545,25.61916330299282,30.544507402332286,29.457989265759792,33.74551959887441,34.960787469776115,35.9510152733627,32.22704866085081,28.54471379193441,25.800519137397842,25.533491280128086,24.64019711241872,27.85978180945746,29.771138966670506,34.563106131749564,33.74208283838243,31.155712234375343,34.4155043228048,33.008708920476536,29.869048686791874,28.95752249982258,28.209377409926166,25.150715753972896,26.056633465408545,25.188820996072373,28.788995928211424,28.001913510868988,30.12325619152255,31.037777322623985,29.650117854690233,30.164187234688278,31.469594719683947,30.800822663094085,31.06680089650136,34.158169283087155,32.21099642749296,36.78844439810366,36.82941769116319,34.22157677616733,35.95690947803817,37.26588941342564,34.02782653828015,31.076270673578787,31.40971649622864,30.44185437383278,34.266925077505526,35.46380209527047,36.706009466490144,37.53520688418656,36.45812767436051,41.34962866246977,41.04056366624114,41.488226287913164,39.65401667232089,35.762663047959414,39.75922637573215,42.125241583522836,39.794245031595004,43.516225699813866,42.96894306582957,47.18191210713732,44.139806484801575,45.73147181774246,45.27904816298642,42.38241088614066,40.68520435054847,38.07390720219393,37.92811109809849,37.42068301674933,32.532865683866284,33.22404000244906,29.86371295278328,28.940870949106866,30.35886835417068,29.044168033730376,25.62443034591567,25.34807406469351,27.362789411783393,23.477557591148194,19.857209211162576,23.283662811424435,24.961335162926535,18.727219883444892,18.881445553763662,21.5749458593256,19.054638712551014,15.187145244187509,18.55033574685631,18.76028288143071,23.727766590668253,24.226715212021034,25.172424750466675,27.95588531047797,32.80939348955415,35.369316259313486,38.04951735161953,39.171692302180894,38.710882900097744,41.15766388635721,39.071738428397246,43.16381281632159,41.42006712368297,36.041256539300214,39.43111679816086,42.541601348610854,38.37485356843832,36.620976462893445,40.08001808353733,39.494583963405205,35.04529060118516,35.076752833923685,31.70350803270773,34.73071054212871,37.261936205398044,35.706768495657606,38.021570416119786,39.839746692006536,37.73806306009718,34.0840621957863,34.87557587674687,35.44089624431614,31.205005482172,29.383347811400316,30.818609984608408,28.75579024059575,25.53771748913083,29.549369732299045,29.51747294340292,24.833997575305396,25.969593525722573,29.82741668511512,29.13482613496188,32.54140812857803,32.4014539608629,35.919745412272924,33.52900726165151,28.573767894666776,32.81403907082139,33.63025502190103,30.187173182565495,29.715846284278395,35.31744761465607,33.31294307869027,28.539966820804658,31.67803694028932,35.79174890793173,33.08279166804288,29.538127062984582,24.767203841312075,28.133173095379124,23.666270607802097,23.786110171809796,18.747250646116964,19.296312677765897,15.138351408930006,14.433676407894547,17.322414762626597,20.60944086382105,22.05434452013929,23.553688917403022,21.059465969837444,24.8764369221296,21.544254360335074,19.69459846241044,24.148920633033764,25.13468033232476,25.566706411479405,20.66495388272749,19.918964424952325,21.449059931662795,18.610553393172278,14.919059539165664,18.045486566893985,20.201903873197857,20.597184216054774,22.14991998201955,24.33420084166133],[10.447151106418817,8.505858923753557,9.68744713509155,7.118433990248916,12.57047556171769,13.584738740229582,16.837948767465345,20.673977805056726,20.96947170410652,23.20092451551126,26.20379063184698,28.211572045432185,28.164681488473818,27.011209103664182,32.02728317759583,33.10421676134621,31.462517585707783,35.930926226968296,37.91972338154214,40.00494943401548,43.24884063995838,46.38784741346539,47.29269885848226,46.03414700440113,43.32308148079017,39.56233319991234,37.17687027043871,33.8101898855155,35.09806776580099,34.675929945504954,38.69197466985224,37.43315726043,41.08647834656058,44.863600497846306,42.275394825694875,40.51502513536409,38.87521305874546,39.191929110306226,38.30679900009002,43.55135320432399,40.414857549235805,42.214198327003345,46.33104700807935,45.52348200700935,46.41217350233755,44.77302730004061,49.0208881652484,48.89056957831275,44.324249749487905,47.91978454713876,51.37228063909951,51.6505035607593,53.6458064393738,47.47192155483439,50.73542283435323,54.68321383759378,51.78726146258481,49.35423713236624,53.84269150354459,55.63057043110919,51.81640122393961,53.65755982337064,52.21292835227486,54.175454162884904,51.28843173399333,47.73185108771661,45.515126767122055,42.567319459679965,40.26793587238335,38.22627919575256,37.605068671902195,40.20543907291219,41.86287574176253,45.04269442134056,44.02552015030928,50.22681428799218,48.513438307616255,51.18331650507169,49.62574263506414,50.27794011980828,47.77113167417048,46.905267944801196,44.197142175376115,43.903017114513865,41.2056550575441,40.66551507922112,43.17221968303038,43.947929486300055,44.433190648753914,47.6476116933273,45.73633665911569,48.928495917941845,45.49210910169334,43.27213049505861,38.526884263020534,39.05772045514586,34.73775210372259,36.58714040285144,33.665415697107235,34.63000484642716,36.257723222833604,34.064008442559214,36.177798517391025,32.92420844643049,35.044902471943594,30.078510523837604,31.64391010104824,29.953191038351175,25.521523882542137,26.60282819328113,21.98708304714236,23.969254612761397,21.716525256569604,22.707525760897052,24.732461490514932,24.769079494505622,28.755337273179574,29.127451998220494,34.24683670866965,32.824376724074355,30.021686544169924,27.024395219305735,23.974804083684067,21.527681693430722,18.98650563431604,19.495736752428158,16.94722704404296,20.963910910014484,22.490917666939986,27.53972737805997,25.63654549922938,29.805941915088077,31.238644937156707,32.72198417447473,28.999151619072347,25.836076006844486,22.363888672507198,23.08640785303445,22.915349055781874,26.43658690307898,28.7622341485609,33.565606690681086,33.24860164104985,30.46877228994721,33.561062469363684,32.54483192216502,29.300700167107692,28.523691652580677,27.339657999494854,24.805881757298657,25.205022822817988,25.34541312487637,28.65330548784712,28.768448038772366,31.102410319023797,31.407938424452126,29.958148813887437,29.646607206184818,31.23087184810186,29.493363117525327,29.456977348116634,33.19271497737678,30.826313341510403,35.32462461074453,34.68304110602429,31.932109565893626,33.037609873418255,34.12336993047903,30.523769620014747,28.068733315472482,28.32381391452873,28.016121045107198,31.949388795458066,33.40615755527961,35.082799513649,36.01085416975739,35.657333350951475,40.205252929539526,39.604470463791145,39.63877266776692,37.47207284753992,33.406291309142176,36.86095911950581,39.03257648521082,36.95769571499814,41.169113262360845,41.185703754028424,45.041911901095894,42.016201385331186,43.12626896141868,42.280936542771514,39.43392446409398,37.22637654140022,34.392363619800506,33.93803152162452,33.01230808571983,28.148011197890032,28.622282938383005,25.02595248337744,24.617682013365684,25.659626482785935,24.92455921645972,21.563624594206004,20.52927434980277,22.808668446463226,19.447596084483983,14.999729029372515,18.435942129329238,20.992048731980816,14.828220151416831,14.42670745443923,17.605709709445378,16.00545644403094,11.677547650597214,14.658343769476149,14.035074171678934,19.548865115468185,18.95618378364243,20.023848974997193,23.152571162346195,27.739516115033293,30.668020492701388,33.002542701641715,34.33641178958592,33.7766607265572,36.3201053394136,34.41085784746211,38.25715187560319,36.26296949031087,30.933919837981986,34.4713261002468,37.26547241675007,32.97537425802963,31.40987061109021,34.918181230000116,34.003030148599485,29.54200374208016,29.98660240546484,26.56796325987281,30.161029607999673,32.60103296222756,31.173767843468557,33.907457935331124,35.940770420744784,34.20600679204838,30.172160951556954,31.060250729851877,32.2215808049409,28.016116757357068,25.741217764500217,27.73493956739,26.139460505972192,22.423435508670696,26.19874358565463,26.813028939781592,22.476052919337654,22.745700054234643,26.49268981465117,25.225633352477136,28.48931835046694,28.230552319477695,31.418982904763734,28.99174321892932,23.91126102364785,27.953667920551485,28.53405801371394,25.049535238948984,24.441314001563374,29.91952271266846,27.798926472595795,22.946914671399472,26.09803796886695,30.12600533763888,27.380719285081597,23.798979337404006,19.028118220721957,22.460433632858596,18.088187852314178,18.31824626365578,13.139639532219343,13.781584179628167,9.98408195284382,8.748809240038861,11.651278441478404,14.926366073999953,16.515237809548754,18.126955603733702,16.319822408652314,20.457546225698604,17.939661887117037,16.125559479106506,21.102328400557607,22.12674049288814,23.483477462294086,18.447103358230702,17.322139671479942,19.893446877197793,17.664100126143754,13.38108903523672,16.574733206556584,19.71879658365504,20.5052693823835,22.35109722660913,24.51268969402587],[6.918147762222368,5.432781995849275,7.777788646456943,5.319401926193228,11.26629494422404,9.741828999441253,13.357339528690044,16.642902392497327,16.76389337007943,19.63249273307369,22.354608445134204,23.97424043384618,24.66453130854719,23.738794853499,28.52317096250816,29.65913944952752,28.63665538413433,33.245936452960244,35.844196992323205,37.84424490716001,41.35111137898805,44.63037713499636,45.75898400583963,44.90062613217652,42.038983061125634,38.111742819751214,35.55513445869186,31.854017209151205,32.543955942614474,31.61742588076394,35.32629468017799,33.82051198320852,37.22186703851335,41.24136257654749,38.91982458611826,37.55114138572227,35.81601405852453,36.84403272147518,36.36309132914104,41.75792102527683,39.06174430676908,40.5322365127725,44.67542938722425,44.32063843298401,45.59911571607135,44.34751987977783,48.64367881174781,48.035733702400776,43.593068987980686,47.579922809861344,50.6215916478598,50.797075599200255,52.480468996628915,46.13789661870353,49.09890853827022,53.07719813121561,50.3225314290692,47.49882454339022,51.80355111725304,53.96649387813454,49.95659927046119,51.39022947801523,49.63139109476459,51.91210295175595,49.27258852376664,45.464591975029286,43.266353998043115,39.97168349533069,37.902395771702544,35.42931895416975,35.10694384714243,37.683045519289465,39.019735285753626,42.46362667392707,41.07522670864601,47.20245209709632,45.69573393213334,48.0427951129541,46.6868181123809,47.64681250444102,44.998475830864166,44.53751915458189,41.52165092654435,41.68145831270378,39.273476060186134,38.25473001145529,40.76058120633425,41.00784973361865,41.64532568268952,44.348092584332534,42.4864429964167,45.550930522978796,41.949538206640035,39.48548625492205,34.770423658574494,35.101754270549804,30.843781384219266,32.50854773163942,29.4635987060906,30.103149167852578,32.257446339876516,30.103526122561963,32.69239469444629,29.628766327531302,32.4674665661428,27.595451731522633,29.366079521253955,28.324315093952826,23.866051198912256,24.174295230067777,19.481998505621803,21.535604835034157,18.766542222795614,20.52866165341694,22.209437623217465,22.98684937926877,26.878453040606797,27.98771074610914,32.734755351757514,30.643344207196133,28.004907735059895,24.720930603136573,22.436442749417957,19.6504296093302,16.57229856908179,17.950558619335006,14.809656068682994,19.35161836317163,21.117963445972133,26.023985720648188,25.11692766038419,29.1491194010631,30.82508145187017,31.52171336823208,28.364141209840362,24.90447648361608,22.401022860958477,22.815541258268578,22.724177649896276,25.742402096241168,28.66028898058671,33.26687904578564,32.308529583412245,29.31599966249142,32.190799536685184,30.510432856764155,27.346871460092014,25.917550278035666,24.543400329626778,21.430653830270277,21.57700720469804,21.04880347441196,24.242598698112698,23.898448561480986,26.35976270742875,27.00620938961135,25.882979141648974,25.87105258531801,27.751567806057793,26.551747154908995,27.339073668889743,30.937624852958514,29.431638520349853,33.792576387191694,33.92317153767214,31.886572437876296,33.06269865979586,34.78337122136066,31.346624373489178,28.631089240303947,28.417702496892908,27.5545252994677,30.919290714716848,31.82218727620502,32.99064484666465,33.45840104636082,32.74943008452651,37.28291044379528,37.242847623935205,37.3597236146129,35.86451286845423,31.495017967266048,35.57449301946294,38.12393639612294,36.097210747121856,40.14413848742631,39.934689799627606,44.21893432513015,41.67831862759318,42.86370934642777,42.36843081755586,39.1959168817513,37.3547181847649,34.522488308766086,34.078900772161234,33.41833823435801,28.510270035736948,28.767306552454944,25.313609115630324,23.954016340180587,25.224702668167964,23.583971125746395,20.30733643173569,20.30692561445195,22.0373010448479,17.94054714070225,14.9116869836966,18.3152250335929,19.579888736849497,13.375794460843059,14.110304209544633,16.858493131123122,14.037883495971265,10.648594513398997,14.828969748477071,15.025817196293533,19.83509456895844,20.929269467646176,21.03486412940816,23.715696452891425,28.572373847355166,31.211595678308722,33.6821052349868,34.36530603610797,33.73985693767137,35.9972613434808,33.740827830203116,37.98805227258387,36.5123703964382,31.092576229762898,34.36161706008984,37.785409939272384,33.842804393359295,31.960248798408028,35.52098629433975,35.38034018669971,30.96148423288289,30.874269401512677,27.1294319599911,29.74007240231026,32.128474950801085,30.345887956278787,32.485858561392234,34.19856050892378,32.07196523039659,28.50376848573028,29.236916220173953,29.728417306075126,25.495928144176773,23.723881763133114,25.194290591309688,23.15394377993802,19.94439893466469,24.14349873085127,24.230743589914155,19.63703598526489,20.926079712894936,24.867235869350303,24.130493327767926,27.33086510557743,26.97924226190573,30.659974043555522,28.57621901946054,23.514611044929907,27.712107839861687,28.909555214433613,25.622956856076165,25.041500332143364,30.812952659403408,29.331182178078897,24.584894045561878,27.57087899795327,31.940133202033714,29.731468297923993,26.283505891262656,21.62445127417702,25.740146762976988,21.76164470912158,21.350872248623872,16.25097062726827,15.534697599339838,10.870311093912466,11.812403262404159,14.311246736879234,18.04459620862882,18.88118674078469,19.43947015352543,16.615814431823402,20.171794264169296,16.96196676907561,14.359435476193664,18.62934850346428,19.43783104261375,20.062393034941657,15.221341283982357,14.204158512419335,15.959247452016166,13.483119106260766,9.347153143562696,12.716256805867934,15.302450796078357,15.970136956977177,17.821174788872526,20.105584816094254],[5.892832703494622,4.71030613525856,6.827346431920805,5.860429865323449,10.494336137766645,6.909243544391875,10.877505612895925,13.419480586913679,13.89107620474449,17.397322953027352,19.951028092016745,21.001593670204734,22.216132620729176,21.837419762720028,26.299497740441648,27.271031431990878,26.76746682377231,31.481811099615935,34.59392461734422,36.31607662600364,40.05823643570071,43.28862486047494,44.683607621343775,44.13865170756623,41.08696074893355,37.16389421787066,34.37033815628902,30.505362731109663,30.696714359128574,29.287801693996506,32.98213073155051,31.042378716438808,34.29647062207884,38.502248805050186,36.293990421140634,35.288788727982755,33.299826551982704,34.91612984281035,34.68311274519297,39.99895713938919,37.77884478942558,39.153256522213766,43.2225147665638,43.171099803955414,44.79746572763569,43.782124977278414,48.068410636911885,47.075366666428636,42.66729539770342,46.85600893216668,49.565832287786364,49.60896705260941,51.08074965571478,44.67219353725632,47.323262292898015,51.39068963050309,48.85762220385498,45.744848314651335,49.88358166731427,52.382757946861275,48.365663662971244,49.55331676036078,47.615526795632064,50.22306594041879,47.73386381811095,43.72736076340188,41.773907847894144,38.23544480833909,36.54536710434667,33.82247271344896,33.85052183641545,36.51803369797692,37.44304889023866,40.96534173090711,39.15617246257626,45.14725495741122,43.63390321607667,45.67800751553334,44.35826725680241,45.44011403153657,42.577276536399374,42.33056645918879,38.99576277784639,39.408036675045686,37.30832931749702,36.04565701145314,38.688237227288276,38.498024461574275,39.45357944989181,41.781514189359676,40.12500381235457,43.20523248041628,39.52794496381714,36.83834210502498,32.19389129220465,32.51768309441436,28.371320652357763,29.562304310968667,26.335102553011865,26.542201449333728,29.00518119702474,26.632252375331205,29.603729681305666,26.50723515460588,29.76278070669389,24.987525451292285,26.756597948130413,26.19268728342222,21.789322174998816,21.545564538454368,16.970848461544175,19.250782881724845,16.37237807189393,18.862379567999493,20.546426240153814,21.96597625319987,25.772209065538792,27.49002411131628,32.011753686578565,29.412282646861158,27.074578785405155,23.59814737437072,21.94612121814199,18.83420537508012,15.287374435615835,16.93527463598469,13.055640003407166,17.79357049540325,19.505523780074473,24.16487662262799,23.978931294831735,27.751116181660347,29.68380708198554,29.78480019206765,27.220945080319872,23.738869730447433,21.993479005843824,22.42889552790259,22.64998158970398,25.20459080940901,28.713838651730054,33.05262023699697,31.693193110918234,28.50327546685456,31.06007434145262,28.913729598539867,25.86004828169938,23.86689685235498,22.172148569172624,18.722695141827042,18.38967669973865,17.523558806782503,20.445344125583674,19.981738572856017,22.62149603409939,23.379619182645794,22.58502930043343,22.578722640786154,24.84312092776601,23.828932512555813,25.32689607062097,28.94605146967275,28.15488916806113,32.27826241336579,32.9036606277635,31.509989304707105,32.52981676842269,34.71953198202479,31.378067533660555,28.643126756369803,27.99071131896999,26.85130335105604,29.645990928914514,30.092937844212937,30.900237211945797,30.94811925040579,30.147108972189685,34.501321386847714,34.90310763999509,34.961406578927196,34.012616315487534,29.35717668370762,33.79919173883981,36.60745192689797,34.73083363635443,38.73097242567426,38.49622530814926,43.016092379022396,40.9446771548921,42.03586343678918,41.737354554012,38.32489711694205,36.68208589979717,33.82525223345225,33.306510963168165,32.7752145346982,27.929365259772002,27.926906158450056,24.62776812277353,22.57235971134907,23.939847328750467,21.649088795313546,18.561871135461256,19.36136218195146,20.618790445844947,16.108273321092703,14.411937657038141,17.63077635062189,17.886686156714816,12.046562687475111,13.737001121353096,16.08240449224992,12.530808722135776,10.409195399144208,15.175806679466795,15.739976349155148,19.85341697309457,21.932805616193782,21.231438523446712,23.56199466388024,28.421262499355752,30.90582716113733,33.305329418969656,33.43629353815011,32.689603523814625,34.66018183547186,32.1346513705369,36.618927147367756,35.57760552514429,30.145825100880867,33.142035179179146,37.0049948053699,33.38956334237023,31.28706782888545,34.83822782902464,35.30406729807861,30.993610899968825,30.525983612312956,26.576039347624,28.384085417195095,30.66984669173341,28.648686348083775,30.31445384487779,31.797418447332742,29.399581116072586,26.21493915256001,26.867440841819565,26.869252416623016,22.651188752136576,21.321143319000477,22.45416577951788,20.1478828146502,17.39856488224011,21.893662625462312,21.69061190979012,17.08351146948219,19.127080783628333,23.116221884135804,22.696665341875978,25.670055416134748,25.141307315088383,29.124840816723278,27.43990434393496,22.447366055080956,26.580513561185448,28.27924680523914,25.247806822418312,24.604453060512757,30.48196895775227,29.587682189244997,24.995193353014418,27.727519304187584,32.30584242303894,30.601290783867782,27.307924144106806,22.868966897612946,27.450776164876384,23.898233464376634,23.09781857870379,18.19535887323769,16.48388676550486,11.653408758112862,13.964537699637875,15.943947491505918,19.81014180825399,20.041054615389363,19.73889990301555,16.337286653645933,19.252053954658585,15.786269405827957,12.561660872634873,16.010518146092974,16.604546204961892,16.699753586202004,12.171589094033216,11.261224744780007,12.354009560115419,9.807355643846018,5.8963819409864096,9.487734197163748,11.651313839596394,12.251214596515963,14.207980840356537,16.59612621161705],[5.9647786067135975,7.06169146302754,10.541950144474463,9.396777511346146,14.21005900881155,9.606584427924457,13.052567636452487,14.969960202958754,14.43299520340712,18.137986800752255,20.089599364431873,21.11354969706279,23.12677113330149,22.308374442026597,26.586658821983374,27.952449432621123,27.859580650945237,32.47020266063873,35.72449864736284,37.73511817970368,41.439324068113685,44.93464919176474,46.221817241514636,45.824191644559995,42.923269046516545,38.81158085959418,36.2205286736879,32.18798094238924,32.11734840535923,30.59446902290001,33.55928448234678,31.908039839346255,34.786688218356986,39.10786414870862,37.301828591668446,36.48287295790899,34.78037024494009,36.71157528395485,36.788100801816626,42.33592546386866,40.13444948905391,41.089192674600596,45.234519697180566,45.42936860965896,47.071363190466116,46.28875505972286,50.584749960336715,49.50222936929834,45.30980500937231,49.68443954377606,52.261318335983304,52.35432233158317,53.65854683771447,47.194627571721576,49.798136497123416,53.719765184438494,51.103082515949055,47.8659827503942,51.89482416540903,54.43710450004655,50.16554627694206,51.033820995055976,48.85893521032351,51.44173493767324,49.17739673446567,45.13777619800675,42.82037458543879,39.141614951706345,37.242454422592175,34.195976274926785,34.164449612032676,36.495246557155525,37.544151448856425,41.37972368537969,39.658737979438904,45.63140399971011,44.57605672061995,46.48747403690692,45.520505655932396,46.95094179289477,44.22801152511365,44.35434140560747,41.037176590656394,41.81824491980404,39.78841175663655,38.13771104388814,40.50599315027131,40.065490883424985,40.7653007738258,42.69210625684099,40.80589676948547,43.530259298569746,39.70578312999609,36.94935851164805,32.352417782567024,32.205802496243834,28.115759345315304,29.7164404999023,26.604082409362746,26.709996735096116,29.855732416752684,27.92180900339609,31.226954229458723,28.586245892225303,32.38226920652506,27.800145012760296,29.733548649403016,29.527405930691987,25.212150218864156,24.56264359055019,20.079217134280118,22.098047590214072,18.744876239931543,21.352576251375122,22.277945922098315,23.887943676181486,27.41277114288625,29.269444984865846,33.31958909947968,30.51033676192019,28.05486851462636,24.59180533102619,23.38983171641494,20.529067557600428,17.18466772569007,19.70581074587991,16.338908235100686,21.07501403678077,22.998872752430344,27.498555241311234,27.681381809603373,31.40952415260793,33.31501553000243,33.16189271650053,30.704578780785543,27.046765545440593,25.606015513811126,25.63365813709899,25.491450266117955,27.889293189748333,31.142993050547215,35.462321232825026,33.81671602299802,30.74830228745536,33.360395838803136,30.93684532199416,27.990424826684503,25.833874871104225,24.36106283767364,20.52391342548388,20.332399700716724,18.523266070061307,21.340505201430698,19.807567345571393,22.569642497927894,24.024553886101625,23.54775190131349,24.151979941424198,26.391565019315568,26.138909812302153,27.978787600660134,31.198863649708855,30.760672864727823,34.86701921417298,35.886641258392146,34.58305738771096,35.87894870583857,38.13958611877801,34.93939702420678,32.0229808051071,31.42964742491776,30.017479408956248,32.71366230090994,32.9741271485865,33.481472120871224,33.35976157444598,32.12189065487831,36.57097565504839,37.28538223812616,37.539845756083515,36.89928093047913,32.30134062539415,37.014626521061835,39.92855146591293,37.98338413530353,41.73821617945716,41.22527678912427,45.931588588378425,43.89542580639887,45.20389350571393,45.08377513658053,41.65201191459486,40.224404061652386,37.45486494841637,37.02880892121351,36.60608487469349,31.774609638467517,31.773103705057586,28.49984586306724,26.297200117142356,27.56961641635072,25.041030777265746,22.154155995787278,23.047685066878266,23.95588561467727,19.38791562199855,18.092509742720257,20.918189834025274,20.59860979467797,15.004474020863164,16.57046405691032,18.3501497524835,14.430281497486295,12.534815711702128,17.007614769791058,18.2066340939261,21.83864988529241,24.679186977743456,24.154704481149178,26.14086305937319,31.205302816272262,33.27547811884004,36.074771162312075,36.195148324600396,35.70901819085573,37.73369261866583,35.31217669021598,39.92249577331015,38.89453706066503,33.63708960219772,36.660452450358406,40.591616295786416,37.04701820084772,35.02675196656289,38.63138213657137,39.10853015121252,34.79333130269693,34.42719561254822,30.39836257265102,32.06925977488768,34.25313575761012,32.00932245483948,33.45883082595753,34.59765659377684,32.19317268122894,29.32710422345461,29.58802004373083,29.25493863833337,25.294486095224183,24.06772786534819,24.57352982738936,21.998581396132113,19.661601645980735,23.943247909611483,23.158827262675317,18.37994034684963,20.874199646913276,24.788551445639996,24.873208471845533,28.0498895364548,27.87246217715745,31.944677271090754,30.061896242270407,25.406093874739476,29.76847601362985,31.370930871495506,28.33088125939006,28.07951100759552,33.878715498191426,32.82012693649329,28.42498846941755,31.38050385124403,35.799253331318795,33.944720364366844,30.744839567934697,26.282991005280348,30.669620128909436,26.956174761009198,25.91468147469815,21.149803439907696,19.75755687791942,14.977386137905487,17.05967124942775,19.414458471009258,23.25955598932654,23.765445525871172,23.5315624280082,20.263558689922974,23.11163675227813,19.538308317269706,16.240804451800305,19.180657477229953,19.435143001674895,19.054972945706222,15.061015507209486,13.997458900745587,14.069301570695806,11.811363392272856,8.530091043269817,10.835950109018183,11.94347980860308,12.327853548578242,14.071016139467327,16.325320229984555],[6.746190938541327,8.59769965258288,11.64818042908315,12.832081310722314,16.10020234523013,10.61051776616415,13.97232591475954,14.198210350755193,14.586906891861522,19.1105252044039,20.625072477197964,20.43068260907617,23.37738873746264,23.56552678546127,27.12021703829914,28.122518914433503,28.853689607796994,33.50300449854372,37.411196148746654,38.908391173839064,42.90027562771909,46.19156725605366,47.87595970091477,47.85792424766832,44.691280608578346,40.715583989469,37.78219179972441,33.673563240332705,32.93401597785844,30.673426931337154,33.648430479366205,31.174438569541042,33.710918927474616,38.32050685817934,36.711276122161436,36.54727231467636,34.337920811083976,37.15667583566903,37.49961640214713,42.683101393208965,41.25263003727046,42.24597588310803,46.18158449977655,46.703978447131284,48.79514267599821,48.205561984401136,52.435957720372436,50.90142018087048,46.681475813477874,51.149883234652805,53.32813220631984,53.1728391773059,54.26141795078392,47.81056893576699,49.89750213905049,54.01318286374902,51.8308848538257,48.23164152251427,51.99009125960476,55.041996693950615,50.91824572895608,51.49432147007201,49.119698679855,52.207016896276606,50.145901041395994,45.862395745170176,44.04425814343019,40.08238039032119,38.819810724401,35.49838192321564,35.98435450793457,38.40398694526058,38.83392310179327,42.705742043879354,40.35010062399528,46.00469121986832,44.8905678790212,46.26727181037592,45.3060549196765,46.82969991554105,43.702426975370656,44.056635424407986,40.17084091653111,41.197450947806914,39.742263773010016,37.92453165675443,40.615902952757175,39.47983328477393,40.83597068063026,42.133751082511516,40.69868378118399,43.43865910987695,39.543157705531705,36.41009819492683,32.055722681268925,31.867872426617588,28.116140629106457,28.73579282417117,25.31621439963569,24.255834101812255,28.11409031224587,25.506091739643665,29.59241496818412,26.66569452388304,30.86802144258912,26.508432322610226,27.96497721523844,28.341692338844137,24.20572146442255,23.019478132383934,19.209184801954333,21.903344543585245,18.977778854540837,22.50091317061823,23.682123868596033,26.014439719535268,29.386740471892608,31.893964728358807,35.713573200100505,32.3558844650719,30.39180996207813,26.798872779990234,26.307163642983532,23.134862488630606,19.38991147599337,21.670853156596184,17.24701069896805,21.80676293078186,23.182732012444625,27.176353729886333,27.978655371147656,31.09218966404701,33.54748193477445,32.753253637801215,31.29825698755909,27.98148277382626,27.20597617970652,27.70741867868902,28.171708572047105,30.09420726369462,34.054812882068234,38.01062273180381,36.0622547432191,32.76994999257905,34.86903182902299,31.971039108198866,29.241750064942934,26.369597352518504,24.30683962299044,20.243043584047413,18.879209677538782,16.586964989558613,18.184187826711696,16.013077916065203,19.611512101562003,21.456164014346758,21.929837498091675,22.323333547524967,25.41352897426845,25.18573144530762,28.101784036692806,31.48337419669938,31.973042874158168,35.61782868882781,37.05364221409086,36.536798526583034,37.354061370581086,40.05323574905684,36.838513424205246,34.177491057253874,33.04155065742487,31.606890975730757,33.52405635063841,33.212051969549755,33.30561931955884,32.48262433714934,31.37880197623123,35.24471316662254,36.66510435109443,36.62880750776796,36.79838940947683,31.732243491683015,36.66719819010604,39.845513264176304,38.30621648404244,42.16527741695808,41.85285548147133,46.69522514271959,45.32975245123076,46.304572606025594,46.27056031147498,42.57616752772092,41.18026532362658,38.29046468021366,37.56852863252116,37.03425187311598,32.39489351302832,31.786887914154807,28.5589066225954,25.708956628470872,26.511577821968768,23.308411780094776,21.15621860241422,22.523268873398866,22.411964943711006,17.780036740028674,18.30413088615542,20.16899093488311,18.302410383299204,13.915327867718485,16.153487340433074,16.883902557140875,12.376042649400866,12.467891796502867,16.816710758889187,18.631342323434637,20.886438698756074,25.200592506449365,23.831798658564413,25.057926881641105,30.068261569897047,31.625829511448757,34.52652937019025,34.03066681007795,33.66873245523154,35.44468121649961,33.005555672450555,37.86625713624025,37.22918750100462,32.33572119224419,35.13747566684654,39.43829579610266,36.38538445480017,34.400721995224416,38.096074666056964,39.10223039930157,34.980221464574825,34.667072451690125,30.219779801169697,31.107243368875796,32.8462581088495,30.03937186778998,30.917181611641226,31.388904352317603,29.03582403115175,26.811771817748443,26.38722770143894,25.48942969044814,22.043512008433655,21.0814475567703,20.67193589645343,17.80669459007781,16.28069791604589,20.35891748898332,18.933976424451803,14.289517170357124,17.698334989239655,21.403883267183087,22.13829412137219,25.094224405125892,25.080254764135187,29.360855348723625,27.746732831293752,23.650880522302,28.010028851148903,29.94881141293051,27.2876045248033,27.414126978550733,33.030977393232085,32.4945522618612,28.64113388734547,31.506235325980562,35.82293443120018,34.482625404090776,31.686294863883926,27.6450580844473,32.35197888143757,29.231504915275373,27.42585679852345,23.231770758170374,20.911113520356583,16.434595008001132,19.796112112662755,21.759394195178846,25.59909415191463,25.708827755195653,24.416221880365082,21.256536879796236,23.355034560773532,20.228706377785198,16.006999773842306,17.477742252716034,16.802893714221636,16.090342296708954,13.477966636706942,11.667070255237595,10.253786704878964,9.873265026474948,7.312996825336109,7.109507060183521,6.813427372458891,7.544834835373247,9.669029807381756,11.847348567624554],[7.812902214631017,10.949208855466322,15.038729073003047,16.6430595569407,20.459346317853758,15.404894274830093,18.841439026864386,18.912826240694493,19.07570321325337,23.60393952810572,24.779278866237554,24.42201007121474,27.84429895837402,27.871700159098097,31.24540023943536,32.413668336160775,33.38977586431925,37.96581905681085,41.92458553598069,43.53132403653934,47.50395004302758,50.88043921859842,52.52846077979746,52.547225598973036,49.43884516241492,45.407055492595845,42.546377767153025,38.401985003451756,37.564826486316726,35.20614210514272,37.81519357934179,35.37114628658745,37.59615781449425,42.29626390426603,40.954713168125224,40.99248530261961,38.821706991965776,41.85852072580145,42.2964363581243,47.4672914803439,46.10493417683474,47.02082627895007,50.957358224239925,51.54022996306146,53.629279263036224,53.05371392965173,57.28418817527367,55.75446770515315,51.551796583403586,56.002383104769834,58.17724131807057,58.01512625920881,59.07504049699348,52.62783652215103,54.637483441126335,58.772657313249454,56.62959489992229,52.969684405491115,56.66243695072715,59.78876672303686,55.61638580267203,56.051423513344325,53.55777216251096,56.68302955137822,54.73813077722152,50.43287553839189,48.493487526077786,44.46517331719176,43.12028463266182,39.63182752144181,40.07666594325418,42.25773500802468,42.76930701389318,46.81950971742604,44.491326640695895,50.06523974084128,49.20795372629338,50.42189334826864,49.643069581672535,51.32349472592212,48.17529046898701,48.67475063567519,44.67650813230183,45.8082610364527,44.48538690278017,42.598675709350765,45.26905680276904,43.93140999630356,45.30703697246032,46.29716046393394,44.83681223617848,47.3461723081815,43.37017989933677,40.14981691878691,35.9256699749033,35.40033459255321,31.806082078122234,32.50680827574356,29.146694459279807,27.653216476732567,32.071937076481866,29.430805635828154,33.84880593941237,30.922475428861222,35.2227767144903,30.929651309446225,32.06836857970497,32.48660064862249,28.34549959013414,27.240299806070507,23.69369555110773,26.650369614060537,23.82715408381778,27.376185550724006,28.45323539084425,30.77074970776846,34.09090077374975,36.55576780726586,40.25840246497131,36.87113304416253,34.83006128952455,31.271322932381164,30.832765842609852,27.77971359552515,24.12826298283121,26.47648744933237,21.967370963843212,26.53553179710296,27.71441481368626,31.693012765291304,32.30853250000635,35.26893170125731,37.95155111541778,37.20477985246281,35.9029766574965,32.715338197522144,31.719461386417223,32.41629392934568,32.861876271740336,34.90042016056723,38.741442812774444,42.77431000601297,40.844973292189195,37.587599678394675,39.72163283548573,36.78195252625518,34.07963823839208,31.16385814269107,29.086250975347067,24.971621057697558,23.4056550697317,20.828482578131606,21.819996504191348,18.818331779476683,22.7898443248654,25.15809600735995,26.09828586251165,26.610992378855443,29.888989304709202,29.789375769160156,32.90370036208188,36.27953494541484,36.84696159907537,40.47161414414801,41.89495277578649,41.31945887723879,42.0672046287518,44.67853823194056,41.34887083267053,38.786278349001314,37.69349973456083,36.389972641927095,38.33282605098976,37.996222746773036,38.04343179332218,37.059704111919636,35.95227385717372,39.640080017417425,41.2890419390054,41.174419286120184,41.515278559028026,36.338823099943994,41.22675501978315,44.41685290489529,42.99641759222144,46.94177556950437,46.687405457687895,51.514720417563154,50.1767245281587,51.091606437711334,50.990137790112165,47.298385719110684,45.76504814533784,42.78828437583022,41.913050844452535,41.13957291909601,36.51210924858581,35.63925597007598,32.16766724672005,29.466271575871687,29.64117238453764,26.50751479088043,24.784186671211252,25.593626511690992,24.947571067948807,20.660083358152075,21.266340271494684,22.32297311897119,19.991293024253185,16.1316421724016,17.749632151852524,17.61525154709652,13.271246625919893,13.57335746980287,16.952777349829876,19.516240787395482,20.839743431349028,26.143926053257914,25.048528216139694,25.681669137793023,30.859401423472153,31.730792903996054,35.22353119825237,34.89068711280405,35.07320090862079,37.09480327356521,35.13291215351381,40.03379630948126,39.141408891712146,34.73323025036504,37.7818464967068,41.910659534851284,38.91974831348254,37.329091081584245,41.22992858033991,41.95020000461816,37.8237708599206,38.16440134565423,33.41826494167567,34.59317745847421,35.992151754295534,32.764984214076065,33.67264131768329,33.576210098777864,31.728352214275702,29.70594445355041,28.42587947660921,27.56464342373902,24.77498687683893,23.351743658784077,22.17957295420904,19.355630863144466,18.034599540846717,21.22759061256314,19.2002603363339,14.638935607816123,17.917109453973744,21.263179280893283,22.595587115484687,25.89366473909781,26.63394728370801,30.75118296065645,28.60041525916707,25.204286275160683,29.909322243649036,31.394918478355056,28.719689765876566,29.637124205272865,34.93807778685642,33.990512417035724,30.620275403359393,33.94515767235394,37.791762760087494,36.1900859756864,33.68229987898403,29.75917865774225,34.12290246906276,31.0090383222912,28.61632086121941,24.919809845121332,22.93423543762863,18.802617800639833,22.050314488118183,24.40977004486406,28.150519892588644,28.719831288156847,27.390169967910744,24.954592223734537,27.238504245414134,24.56773019017315,19.992559897138186,21.372820409301053,20.08213057122582,19.80596981581356,17.742773178065466,15.080859031854116,13.495076554876098,14.442852436269545,11.46853903852139,9.665379826071518,9.04474207666043,9.970902389466332,11.835939183336508,13.130625263427952],[10.217455213494262,13.162790426223404,17.172821615041585,17.38754772654643,21.48305975421603,15.730106848096232,18.570855776747678,18.6300389737651,17.632336743973067,21.89089426426446,22.60237107238971,22.559708778229883,26.293766719132535,25.71592639719614,28.993426694429537,30.571461081485662,31.680467962961355,36.07538858825111,39.97617652603853,41.936187395038225,45.77179133268338,49.42455374585381,50.871026308675916,50.970241833624215,48.08027741412407,43.86945589414168,41.29886830407608,37.05091085180755,36.130305989771884,33.9127117054645,35.812690470478714,33.94633161564907,35.93047915644079,40.56706800104946,39.53642260869481,39.51950953060143,37.83129826056009,40.84588450052459,41.52353115509088,47.02964738681326,45.46727753313471,45.91357341386789,49.957654182285715,50.725066745837324,52.7277518290944,52.39101140022187,56.63272474409422,55.08808671625274,51.1643652913144,55.82203805547638,57.91558771893083,57.887411725418914,58.79806734399359,52.30369774599112,54.423591369652684,58.29331805663598,55.92520700967739,52.25731802688283,55.8977312413283,58.88927287425326,54.42016152256949,54.611722123859636,51.96147757232982,54.89567395966558,53.127404115868515,48.88312871009797,46.49122266419294,42.44090809874696,40.79332067302139,37.12979799167422,37.43201162187366,39.302347853967625,40.00394440580131,44.25846444822793,42.1745931725592,47.769986642456495,47.34262292770824,48.59982406451793,48.155813248472796,50.134250633737864,47.30597507143291,48.11417109202214,44.40410284396265,45.84878020534463,44.37562448676976,42.12146818907213,44.35881873973116,43.03434010831054,43.90140044473657,44.723882772929215,42.905991223115905,45.07668126192519,41.035421690612566,37.91867565477063,33.708905981696695,32.812628526998736,29.228237219635947,30.581759961999698,27.50762962456908,26.494377320091647,31.118640682347174,29.330983242654412,33.60238118346404,31.396348261739128,36.0847605852941,31.971422958747297,33.691142718352715,34.31282421835892,30.259366649177153,28.822188686091224,25.011286852012617,27.21503058426883,23.76148484659966,27.07238557857042,27.341932524149808,29.659334223223965,32.677917945651394,35.15817047445708,38.39250238203694,34.93935519162755,32.76892816150675,29.314956605939216,29.216123914691337,26.478137217789655,23.154079946428524,26.295473656389433,22.683830072831725,27.272039102458475,28.99358885693394,32.950038530383026,33.93450300489517,37.15814751359033,39.450801053739475,38.556960265041226,36.966978014881114,33.39036371348285,32.70439472935698,32.68799638752967,32.61567481480252,34.50072571278962,37.96956412761334,41.97292135937804,39.777580345915645,36.71216607811685,38.978376529943546,35.891554742253064,33.280459004287025,30.43711679618532,28.818405227913235,24.494154278363496,23.623571898609136,20.418322358742685,21.962626936364348,18.407175957254772,21.825816459618068,24.57624229608284,25.321350165867138,26.543560927847167,29.318915398018024,30.025644832559152,33.025797393029485,35.85795056083787,36.53466145997898,40.23996960574178,42.024535801357594,41.40485081119928,42.64566085457886,45.3022750933829,42.22797004727279,39.31067136345574,38.386681986854335,36.682103297787286,38.69224114433874,38.313950488037285,38.15291853372949,37.28904258329177,35.63206467141851,39.66812838844839,41.32614683757311,41.594996234554856,41.95797630806633,37.10772494544164,42.2607132622971,45.48333370408907,43.77952820181891,47.31825154080994,46.63111427415001,51.64382203366381,50.17432071576971,51.47592062192672,51.62602999571965,47.97909041586588,46.80825701544563,44.038936632603864,43.48109873792395,43.06854437403033,38.38739150269605,37.92328236683436,34.67729282004422,31.894039372139403,32.66437959315032,29.456926669559753,27.352612234690906,28.584909015797997,28.3812754869793,23.84418647656844,24.117150708517876,25.828780101230087,23.851982491620063,19.549500455446676,21.29736436326235,21.65776771191833,17.259727621914895,16.98180077218979,20.698832977290113,23.002247222441735,24.936877362192945,29.70544280757524,28.818495533896268,29.78445262197507,34.97749909264095,36.06292362081696,39.45274312559576,39.13268324959725,39.126572922047544,41.04082190387388,38.81940093557693,43.72231577370167,42.97300376525723,38.27703472461898,41.182996053658236,45.421193449608296,42.33634545224653,40.48836729640263,44.235226725078576,45.07747511165726,40.89719399555322,40.75825836166154,36.30841783078641,37.30679933417469,39.00787189101187,36.080274248429355,36.854494505097485,37.00925091896424,34.73718559872084,32.78484878491032,31.996046518348184,30.86188627970298,27.77755468287478,26.840334439173667,25.86448399133415,22.89834013493731,21.76301399929607,25.321365467685915,23.317831201223488,18.784945021076428,22.245830053019855,25.665714901692937,26.90548803199286,30.10995978905162,30.566669710987085,34.78479206754482,32.826922873535906,29.137571029707743,33.72156540799053,35.37599829305103,32.63163464368765,33.171928824844045,38.677265675445334,37.765997888945805,34.05810419396691,37.23465507785792,41.33506769574063,39.66004153163833,36.89537409851847,32.73011235759126,37.0949122996601,33.64917439602586,31.742142398939233,27.615646359657422,25.929073342238876,21.45363677069369,24.18962062193344,26.649718702244282,30.481339344302786,31.024719415581167,30.11771552602339,27.109536043377997,29.426931580050795,26.09766794635119,22.095635377456055,23.5807165280093,22.822589107395245,21.801937203640435,19.458304971392916,17.791191987061467,15.968201575406402,15.482122071597487,13.401428424726372,12.856019223208703,11.657660344700858,11.818456374193648,13.054029021201837,14.431515636657757],[9.257233799373537,11.508496854296295,15.10359882706096,14.415281260892002,18.585117608143136,12.790607424581227,15.491422765513612,16.093529442857403,14.77991322318967,18.81534412899415,19.816138004415794,20.283784252069925,23.510260121589287,22.657676272569926,26.2888384044805,27.922072741313436,28.653544895600643,33.087758544420915,36.77268751105681,38.85082330985539,42.61333674991825,46.29883272471418,47.64056955576094,47.60854528293759,44.769477821853364,40.533475584229905,38.035332546140395,33.814370462861355,33.140302684614284,31.202240194664874,33.280503735968395,31.670919101815898,33.942676275712635,38.449352631018385,37.20917766956704,36.87232321920838,35.33388732800095,37.96227742095962,38.52018072583622,44.16055687559424,42.32296970126612,42.7786596318464,46.89408884985178,47.53739739884877,49.405302223746276,49.01400651666191,53.2746534982914,51.86066352825278,47.946931453135186,52.59314178279527,54.802514127754,54.85750671954107,55.843007651779665,49.33998122557767,51.662055595566706,55.45669750422817,52.928741906519136,49.40231603706269,53.162640647865885,55.95589462731486,51.45687540115228,51.811455480298484,49.2821542349226,52.038841376829104,50.14385008395479,45.98120168902996,43.4833003766279,39.5447032030725,37.72781985366894,34.21946826893638,34.37852031191028,36.35514560205861,37.21620370317355,41.382983482703786,39.481990962247544,45.24327603526035,44.697370096507505,46.21907924575475,45.676323575279454,47.549054516269436,44.86126975304449,45.528273636956854,42.05889570405132,43.38231095113483,41.65877883759303,39.476733256539795,41.61362757273059,40.61241634247548,41.25136738007937,42.44113803210408,40.481725191477665,42.77895936905159,38.791298506037926,35.83662760605029,31.452037393502017,30.750837387722495,26.934745211675352,28.59523764199993,25.578004080193537,25.20672421006298,29.303848529627995,27.767624977123205,31.616850562682735,29.52090659807795,34.049870720096266,29.84641645693916,31.891118571549004,32.33090119181439,28.244879311792864,26.9040681161265,22.769459878617454,24.58687527732868,20.905808750194623,23.923479038395982,24.094162668900786,26.22104309036401,29.294121648953805,31.618074125514696,34.96005465109414,31.668432842515912,29.374106010983052,25.926596976423802,25.62639077373823,22.934312986303222,19.700297509034087,22.975693419798326,19.808091982277496,24.414521703038098,26.421762404770757,30.509210665774344,31.43596108532396,34.910612629531656,36.908559303933274,36.16641296294575,34.20291819687416,30.4493619000952,29.721028914397817,29.417556163772204,29.144370531986798,31.08294041817161,34.38714273180053,38.44996157234796,36.313402810331056,33.30316566841463,35.70918957440455,32.770428219537955,30.0833100532552,27.472767630800874,26.066496445442134,21.80964284304743,21.445818694180833,18.48294328612278,20.777419139027398,17.875323127532035,20.808904644468758,23.156408218663678,23.33140903156969,24.59408061654668,26.98777622532612,27.664582283750338,30.239416537865136,32.994736116192634,33.36686601927997,37.221260538030734,38.911728794606546,38.09841577511436,39.53749802876902,42.115015505714695,39.12647235219019,36.07194963884276,35.288947169828575,33.498629485128575,35.71549138670046,35.5122702212944,35.485646912247354,34.92092273885307,33.20134016898913,37.52758285935806,38.84993441153978,39.261573212598016,39.293971862066385,34.657502970867256,39.776408678478674,42.913972832044436,41.02021538499288,44.46160761757824,43.666759426814636,48.652271320031296,46.96732513587124,48.41364641365534,48.58682437422138,45.01994799185654,43.930399737261595,41.25610232735322,40.876690678995,40.63539020118977,35.9061030919727,35.76342339163285,32.64911692970986,29.97456478833278,31.204681423646505,28.154346973922237,25.63341159271396,27.023210951614928,27.36544176716321,22.68486735067713,22.43440984367644,24.791847413822524,23.45264885674784,18.58275686173933,20.444595917016162,21.48193564306579,17.13191414391196,16.260305127104715,20.471356856088207,22.26910024998452,25.017305890750123,28.91995769691233,28.123621650584237,29.587603202006857,34.723737152072125,36.29746534455279,39.36772565098144,39.13830707879109,38.81907032875196,40.68086690723115,38.219441049155776,43.02950567729128,42.30058508398139,37.253406431145336,40.092606917814045,44.311573352253106,41.05834849313613,38.99751869467063,42.60381291028667,43.44605451426789,39.221946335778924,38.7206309919156,34.55981271201371,35.621667349405946,37.624457876340124,35.0781066579294,35.99921624378485,36.64026162921095,34.09430737042555,31.852826120161488,31.694807604971018,30.71012321673253,27.139778086228375,26.35567617629912,26.01813488307208,23.107081522904004,21.62732317756666,25.686171024285812,24.15637422921441,19.488495491443622,22.781299487015996,26.467571090213173,27.234325037247853,30.348530958552228,30.386187750063936,34.634397845763964,32.86429584665074,28.664492338009907,33.08040467739573,34.86975524749546,32.02609008057389,32.06596667877684,37.77734938736711,36.93137568416149,32.83213228512467,35.79284999123512,40.15715962123994,38.4756311528805,35.45602188005106,31.12484181674711,35.563922924683936,31.95912973696928,30.56481853733915,26.04443137324784,24.44977584071117,19.74972063435733,22.17402936451918,24.52789978205401,28.389855270302434,28.80382022605282,28.215415854511274,24.812096480480353,27.22121966897299,23.524275019715333,20.008324199561404,21.920217525816824,21.73741663352736,20.578391631808273,17.578167994435525,16.575172225218342,15.233420860689948,13.50783965361573,11.571659672878338,12.404534194223574,11.762241599674972,11.726363276890822,12.984638320094763,14.88706919400111],[11.437457182673416,14.087889167970216,18.224549338707224,17.038974904710717,21.832533565583596,16.439821977072675,19.021952931341037,19.902554086378206,18.00397560329934,21.60757141237968,22.322330116326647,23.147122498273276,26.44185037464997,24.979736320370385,28.609550044667284,30.596040950754926,31.271574816510334,35.522605022563305,38.96769277816917,41.407376632508004,44.981771749120874,48.87589372306488,49.976032655361486,49.87174747827126,47.26429167184386,42.90550305001441,40.69711382259965,36.476519265021224,35.92412365339195,34.218356844620445,35.777696284343826,34.67134568944962,36.74575097933789,41.164553468347066,40.15706009203946,39.726909671059246,38.55066652901762,41.02087317389318,41.63714650784528,47.47116750549311,45.37418460721096,45.597051086978105,49.79919545743359,50.44086798784309,52.12083457695291,51.76390267807997,56.03460663887503,54.77247654431594,50.989795459201716,55.65485792075293,57.9577737355337,58.12659751213895,59.11373295345236,52.60938836710422,55.07727077765001,58.71557531578124,56.001880117872275,52.56004785250889,56.332703696178584,58.95325254248945,54.279985213016495,54.54290255618402,51.951505103460995,54.47903104500656,52.672767261291916,48.62079637299299,45.713324289060694,41.84429425390303,39.65000051173436,36.08317265538048,35.97451056846494,37.59105052062182,38.80416463946523,43.13293454137419,41.5843857929168,47.368497353931396,47.18910375980039,48.78848568735515,48.494456050099245,50.54110045676489,48.09335739577487,48.88810521820867,45.62837665234688,47.04111722516702,45.1822150853504,42.893830470636104,44.761490996558514,43.85779217523415,44.11821390598678,45.240388064576585,42.993281825404445,44.982845570830484,40.966397176796235,38.14293893093937,33.81391068577965,32.76079085361328,28.99624515074731,31.25297058461691,28.50506187072031,28.374264112616434,32.6323316179189,31.525244272058508,35.298999306302264,33.48670810560723,38.06818137670877,33.88425228451093,36.02526112929646,36.38141632174315,32.249128743766256,31.012685901691043,26.776537491203158,28.405546359169442,24.545223797174348,27.241746397056563,27.022610550046487,28.89137688124885,31.818685466278783,33.88130372925885,36.99261873009795,33.87572845572308,31.348528031394785,28.07056945790081,27.721373614215537,25.387414397491984,22.527298443202454,26.08159180015541,23.405991677642824,28.030079763333823,30.188561764756184,34.39458911960987,35.13753186443294,38.76320988893917,40.635644500264114,40.065244264145115,37.82948248961271,33.96143552203562,33.003921276712234,32.4797107639661,31.85461475094784,33.936822890566035,36.77444656267173,40.955577311486124,38.848154830936366,36.03239614802785,38.645021680389874,35.799169221537625,33.12099651713075,30.741704440153917,29.639813906741765,25.393421255512248,25.38303513597272,22.258782722259802,24.643425394885117,21.348418895387386,24.097479803584555,26.717943525901784,26.848118326535587,28.41807599445261,30.541331466967534,31.508820477761994,33.86423985000597,36.390196777643894,36.56998666295262,40.551508663141576,42.21573843317099,41.11429483282359,42.80779958068453,45.19549854467716,42.23329760248222,39.06923619189603,38.535100156210305,36.7214826415129,39.19311742438309,39.13075735097616,39.13390670458721,38.71177880727786,36.790074457991906,41.27529809888076,42.52774966815783,43.09318897305843,42.998729437392505,38.53304457567936,43.6331191278652,46.707581560696745,44.68206780022761,48.01199467177821,47.052076534341374,52.035296451774144,50.111801485708376,51.755376420917734,51.937923032260144,48.476978963213625,47.40955486874756,44.785314067419456,44.494627690887256,44.24481144877837,39.453212035735504,39.4349132478091,36.216949622498134,33.77877541197517,34.923396553486214,32.05353824515418,29.47739422970713,30.534982149365895,30.949054070061358,26.37017302088743,25.648469383032392,27.952875640842823,26.83191665153468,21.79689223988781,23.20732199826585,24.165051213312946,20.01325366994775,18.651561465604775,22.405107691024842,24.38298210650529,27.131757269942973,31.02152024328005,30.69991304668958,32.125710580968146,37.384023148540756,38.76774733908637,42.13702819086061,42.199417232456454,42.112994492278965,44.17397821751956,41.91757693004245,46.69862903924716,45.736617849071436,40.77555418348343,43.79801568696874,47.84733121805468,44.448771998809846,42.54023853265864,46.21264080073349,46.7523618274075,42.44634081698798,42.19820275225977,38.052802764941305,39.46505240669029,41.48175642977676,38.91291554578489,39.9869587379475,40.56312784124396,38.164500115534956,35.85474667031443,35.52552400728776,34.64794531770551,31.185563541919393,30.178708086311428,29.726497569495827,26.846827096207708,25.2668635066824,29.059579688688874,27.394736828778942,22.68925987058925,25.734298038526173,29.328768964581187,30.208388238316164,33.56941400205926,33.9092429142011,38.05800512731215,35.942459022088705,31.883814043336212,36.49214918690664,37.97042938781801,34.98049733540782,35.27863688444867,40.92470104761504,39.67744416149257,35.61799187592982,38.84719744442228,43.02415815898219,40.998594509578,37.967461662536344,33.52733401599244,37.627013427654745,33.75758404138476,32.379030472851674,27.91786809781336,26.898010421708815,22.27664867746696,24.117258337470567,26.82954537023545,30.613116844144233,31.42653691495069,31.22901452879907,28.09459909245099,30.813803653106152,27.114575293895903,23.737455588221746,25.97398648888269,25.782982249422798,24.760785951134295,21.653842839312574,20.501501050488383,19.308080573600193,17.652415475056188,15.408117073011837,16.110901119442996,15.55342546346073,15.50413491005897,16.553575443595427,18.146402077625673],[14.239908546583282,16.103980659498742,19.42471391730685,17.09488980643079,21.482464714325086,15.886336992132467,17.55768681212833,18.519623702315315,15.651038696227006,18.599387460262946,19.002097256801726,20.3452509191127,23.466357700739323,21.423056397926818,25.031343649148404,27.311619016325594,27.904500931177722,31.941149923306412,35.220632638336646,37.92183852832546,41.33381293222705,45.39710008296291,46.31882709630212,46.25475703391602,43.8364731550521,39.38756723181878,37.442911108326044,33.21620034490104,32.682867820775634,31.23597201168176,32.31436483654529,31.788503620556256,33.80066269068612,38.02405662251469,37.14212793301196,36.52687310287323,35.798367955930004,38.050362853164636,38.80523894901324,44.855027099225325,42.56122993624841,42.41161650468164,46.66563478605218,47.415828682324054,48.994749994555086,48.83599356640057,53.07316514570744,51.81581276369675,48.30389938664153,53.09395323866523,55.313516636150034,55.604113007339514,56.475336848712026,49.99109417255479,52.57490671323931,55.956277572826615,53.047316780650746,49.67113308910562,53.4128976459622,55.84953908508853,50.985982345730136,51.13193612902377,48.502409870320506,50.80829076109395,49.09237367392943,45.14683289656565,41.914357112277806,38.11069020978267,35.67025972322851,32.07944551300905,31.821158629427725,33.263804844575155,34.6478252605872,39.03535195798795,37.73932479200459,43.56112611547762,43.61459140454622,45.352776238301956,45.24323659769976,47.431576353153815,45.302683128630036,46.25550694891372,43.3570446921195,44.940626943944515,42.90640685088793,40.39141803353972,41.86143878984403,41.11487975430464,40.90034877467139,42.06412946634827,39.5262727730189,41.331051586055985,37.345393286596305,34.72420875970559,30.381883355278248,29.202302294623824,25.38778659158527,28.252778854625127,25.839366290708927,26.449579835706228,30.398586370377583,30.07804437932058,33.41875464965271,32.24897020004457,36.946216868122,32.98305025884852,35.64720386660616,36.12390613190873,32.185451632528846,30.715723673011297,26.351935930455355,27.163224013372698,22.89422983753039,25.174648378487436,24.220242053352557,25.99138625275833,28.580285190992004,30.610129992232043,33.2957589698332,30.200128997055053,27.59561368634477,24.47397674240926,24.417929625674034,22.443581638868704,20.040249145234462,24.18519894087583,22.553309644254515,26.93418401510404,29.542722097115174,33.589530402779246,34.67934839147796,38.47718577658781,39.904128594454875,39.211005859999815,36.724452730296136,32.581456728400184,32.01150820279537,30.79361594377031,29.717763770180817,31.54902816998585,34.025211336749315,38.07116216028058,35.75627286596407,33.15471012044414,35.835560508477535,32.953524506652755,30.399871244392944,28.21564013267883,27.60515249665627,23.401936918433616,24.153717248911885,20.852234809314705,23.86321328769075,20.771507067247185,22.680038117209282,25.19658374125064,24.868583660994354,26.921838144238627,28.40094893834255,29.953565776264096,32.004047343925954,33.9875386505325,34.18766695485617,38.17795602811414,40.11624865395299,39.01929543963955,41.13539101409633,43.56293097255248,40.924484777434834,37.47803163964877,37.079493394933976,34.90385070622253,37.37297591791762,37.30015777371214,37.16216103447866,36.94713871819141,34.61666065759183,39.39266302509535,40.49383295048731,41.404330826395054,41.22815803636453,37.18655375010813,42.40377843012239,45.44124912910537,43.164074681496096,46.06455960115987,44.727705590210064,49.79768874382773,47.77417074980223,49.74826837386556,50.17601779784629,46.79585334975935,46.10362399626798,43.73194140239944,43.76645406200136,43.91006112230573,39.174572845855565,39.57698543286241,36.710355539340775,34.20352789488865,35.988848716904855,33.100161472758124,30.19416303176295,31.739720101233782,32.60998829025089,27.885560544260933,27.006037789249252,29.925490043322434,29.140730778393355,23.901375780645225,25.586888513034065,27.038368997156304,22.862732905273983,21.338742448039962,25.501467667151616,27.031549764023488,30.3457262723744,33.55223594599174,33.182546998379514,34.98658501946572,40.12726475804994,41.89762527744021,44.92530349667426,44.88277073023742,44.44254105211109,46.29711527520953,43.68649808214098,48.407687106316,47.68024802896193,42.385675610875424,45.15609965111886,49.320115957439405,45.8887992296118,43.65251478359106,47.07055119257939,47.841110703185166,43.5694089971137,42.68021997605783,38.95137698525253,40.06344026104791,42.39080532064141,40.23723693846626,41.17792015747722,42.134134829420105,39.288680303629235,36.99826847069281,37.31719155925726,36.257824962568876,32.444326433218826,31.943774181392357,31.868404117476583,28.943128579152408,27.465847614613793,31.688860637195752,30.240606482863317,25.573997717933008,28.78736278330232,32.519103996560816,33.154832742913655,36.282894996256616,36.15648488487192,40.39368042011804,38.65592837912744,34.215273970741165,38.53345287415071,40.31034608768781,37.34318997836997,37.0761829972121,42.90028335940842,41.90919584661538,37.497714307525854,40.356830217115714,44.859749150260924,42.96205072831839,39.68769446443417,35.13582456908181,39.33869820760532,35.35007446058528,34.563152039023436,29.726314949721015,28.731438192630403,23.94506876796753,25.454135590710575,27.92491433633649,31.691788992537838,32.23022790056498,32.31982301629557,28.573093432062088,31.120892333785285,26.887208116705157,24.26831935014899,26.48856372047636,26.871706520788965,25.26932658550497,21.967159723950953,21.825414350957935,20.61368491968634,17.752014436962305,16.54315792369121,18.229870751450825,17.464925241619873,16.939874817192923,17.525586220087472,19.327771561644614],[12.475130045076675,13.76356344937507,16.618332043377226,14.012951256952128,18.267801022431293,12.790201740213654,14.525739872138049,15.900261790968925,13.280503456879863,16.288862875554795,17.223170919852706,18.75461575058117,21.36060123173417,19.488737946644797,23.465147905863077,25.532344767996186,25.795905432196932,30.02028706009294,33.243735610181304,35.80742945486565,39.288618097889724,43.225554451051906,44.219829123737924,44.0424334453346,41.501164831225914,37.11425097221581,35.01831377334708,30.825379109556234,30.482867922150835,29.12089867507975,30.76734956884772,30.052484421742182,32.424106631232725,36.62103107964457,35.40223442511689,34.60173570108204,33.69179445814621,35.72076103953519,36.28045160929795,42.27659508957922,39.912700939946234,40.015798753870904,44.27571279054684,44.86429915308905,46.43218495436167,46.12808976690008,50.39009912238827,49.19080532786863,45.529717321338694,50.24297630274649,52.56303951743708,52.835670920625354,53.81949651915815,47.32925773219861,49.98559022648461,53.46544578536377,50.56947765833716,47.265792327101366,51.120877412899354,53.520868566871016,48.78465306887901,49.16868273011305,46.69625996366253,49.02198356269378,47.11462896560076,43.160144123994996,40.133437388398924,36.38659327265432,34.03913315989852,30.640173853009347,30.40863003618928,32.18183567786385,33.50597711084894,37.70999748912146,36.34088361049095,42.28375326986465,41.97567555431757,43.86581525198386,43.48512715579931,45.44048689388321,43.21605447617097,43.91946560525021,41.01994782079419,42.38232329051237,40.25316860545122,37.94762636606521,39.58692374097803,39.038877039276045,38.96090364956976,40.47349937655163,38.05162851864757,40.174950591911866,36.251274760799625,33.65480668297292,29.152817598254014,28.365753855300845,24.35130765736364,27.001218213315074,24.426027973754266,25.2208874528822,28.70964407893541,28.139481508666154,31.268915130666855,29.851039572232253,34.296108053753365,30.200648746688277,32.881110025844755,33.1825882171553,29.211015403110604,27.894118383440137,23.408959123188414,24.208127036015558,19.994877052128402,22.20896027847517,21.56386915133146,23.259245847275505,26.087664075885606,28.06923121742911,31.129270133837963,28.120295894859684,25.506142234934188,22.25872896599174,21.88626865288242,19.69319558259235,17.103361829638928,21.06583610735017,19.384894101801024,23.785261403655692,26.41021852394324,30.540557122895404,31.50520884384806,35.36652362325438,36.73940703746498,36.16823930483404,33.56361150070694,29.43358872447251,28.769408150974712,27.620820493691507,26.645599165197254,28.5668265566675,31.191469130801142,35.30464109388683,33.120238003958136,30.413960110649786,33.12297796806595,30.371450075696092,27.69936326085025,25.596663618434015,24.9034324181897,20.800456710574345,21.622858498996283,18.741328426180733,22.06493572865002,19.655786954075168,21.508316446805257,23.56284135494276,22.922133281679336,24.682732523866953,26.13693422205042,27.314054487235957,29.14570830842389,31.337546122163175,31.309579913112135,35.376062136787915,37.121471893493194,35.95361651077021,37.98685015754526,40.39044683721855,37.70465320202291,34.29347779269724,33.88366522892185,31.783817297959466,34.341554062632966,34.38266052412534,34.41311328281998,34.337070650221065,32.20415773414654,37.03412118545957,37.91344334405996,38.751228082405234,38.35894228505399,34.305623709586335,39.418929021303214,42.40298225170395,40.11659381151704,43.131189030323476,41.91460581684675,46.911262925762756,44.831763387721345,46.722470995919345,47.06940410517473,43.69776553613121,42.92346319610417,40.52895863744491,40.56127359459222,40.70514158935818,35.96493108082726,36.437978247459085,33.618906874465495,31.17386194591323,33.11117019630414,30.332623203809252,27.276412234861183,28.867274622206192,29.967399269927174,25.241798077846507,24.182535271235857,27.356030262386703,26.869495219042633,21.47781078580124,23.25912275805685,25.0235607163688,20.935887271017492,19.272355634849788,23.679270637831046,24.89350495768609,28.53798430492479,31.30555130909446,30.84956452879883,32.877910834732035,37.9150069986468,39.961702118809356,42.73853797528126,42.69150822462578,42.062947836697575,43.86501326524244,41.14792267115562,45.794038207146905,45.086263559237686,39.654174208047934,42.374208255409194,46.51173582229525,43.039258972113224,40.715960032272434,44.06391445149624,44.85698094522537,40.59949597165945,39.562487681355975,35.94688007513313,37.082371067736176,39.511050948663986,37.53600233596499,38.576768914263354,39.780801823438374,36.86792164191135,34.39566136686206,35.014507329787236,34.10976256942506,30.07657574427086,29.593455273077637,29.88935445957869,27.05896897141988,25.367261147443877,29.803833681881365,28.672597584766848,23.996635449020687,27.066197962197137,30.908609808715624,31.254429532082792,34.272333213516575,33.90169518365959,38.11747106287444,36.526059142996175,31.850809896719767,36.02051742664562,37.887008586731184,34.924160772950344,34.384227889182064,40.266146771302076,39.39329381420283,34.835529862580515,37.52576437662806,42.15079422903425,40.34746328534257,36.99265252535118,32.43840204424053,36.747908145896545,32.81529090316223,32.23182363651151,27.258749928361613,26.139977811787812,21.314432403385283,22.833448861685678,25.120256488438518,28.88940094728871,29.261503467161607,29.376626742587515,25.473699497329886,28.009922587951845,23.710959222884686,21.281823453902604,23.70042127679005,24.33573405528833,22.82847320785725,19.199627188042097,19.314404161724394,18.47092624950435,15.144250482279713,13.93525915214173,16.259192989046994,15.924184473992991,15.429214642860204,16.19972728469117,18.290595049070795],[15.866184568412127,16.454938072638154,18.499897589773234,14.733206085507282,18.545359935559997,13.685395441758692,14.376713311884311,16.23178962033061,12.769390348478316,14.537972176837659,15.399627165957845,17.837655966914664,19.697855169072135,16.974669238349477,21.17767426329933,23.545215075997962,23.355333772216195,27.32659605474505,30.10839480398364,33.04373391234108,36.26271836207914,40.36867233508522,41.08095024785387,40.79030528708652,38.50023798530831,34.025926300751344,32.280769711749386,28.16545590932843,28.115595686666303,27.280377453718437,28.58311927952647,28.62331765843159,31.076600900446167,34.940908177427204,33.71438687633531,32.517393202497125,32.13463508375614,33.618410195226204,34.17039397533886,40.39005617521861,37.62622739731893,37.433729794381655,41.77460104936235,42.319315390059764,43.64318942174359,43.426808081489305,47.6623610015166,46.625506456777906,43.20310394613096,47.95001356832813,50.32608195822406,50.767830892551885,51.735379318788176,45.299800283874454,48.200257452775844,51.40230420068046,48.23208482684085,45.129228497136154,49.03545697295267,51.10583485966706,46.21142508099923,46.62998323411313,44.23455008409788,46.19802266194828,44.276642274272156,40.51836611841089,37.098551681621736,33.55067279048484,30.78907012496061,27.545877752065845,26.981736673021953,28.612425491870436,30.3092606665333,34.47903362978435,33.55972525705099,39.615482959225226,39.45934345175791,41.6552709498718,41.37896746525432,43.36229915256616,41.53103339427717,42.24385046248386,39.84059777003895,41.21467608048209,38.78078673457227,36.40257013622665,37.616588649837894,37.46125126110835,36.80216893269542,38.60239728625138,35.83956010660586,37.84082089968449,34.02665591383093,31.775420719732338,27.233126672812443,26.457249614920865,22.338491472767874,25.737490972942382,23.594317772269946,25.34344701386565,28.172545907989242,28.370607063276065,30.826897884262948,29.978503978615098,34.26464616453566,30.350476601947886,33.49173892260517,33.706054831600284,29.930967257636276,28.626298651803175,24.024153581656464,23.953047329482143,19.47112671834772,20.90457707040597,19.535110667547297,20.803430324968033,23.32902749713547,24.99795265641312,27.761384164978008,25.02878689064378,22.176836024388713,19.169276812334143,18.767217952883563,17.1116207765486,15.26594562228708,19.69314011111998,19.38799771778045,23.393399144733376,26.44393877606881,30.463804098581853,31.50414930177767,35.58087310388806,36.424247665751366,35.95471383746585,32.90775408686172,28.54784819576813,28.03741557487284,26.169837094133417,24.614988259886413,26.42161813872476,28.43964892580608,32.51178307315827,30.280806009533162,27.870625148009704,30.781321661267857,28.221548110930435,25.622861985008864,24.00532751296888,23.944267344858602,20.136020695462445,21.898796711741188,19.24939585591489,23.221184709809453,21.358888361901016,22.32290772249528,24.00113534410647,22.699619007930405,24.773311814590812,25.408156321553687,26.95499153299174,28.1341049378665,29.79473688657622,29.454655603186634,33.618245434463546,35.416319337987005,34.01648789344148,36.52205821528486,38.79237460448002,36.42083757111708,32.75175206191768,32.62823209638747,30.26970382412565,33.023747415931545,33.24199937075159,33.30295197916056,33.6259787186715,31.194751642215838,36.355530091266,36.854999060489405,38.030195183064755,37.310208134308766,33.80133623841403,38.84556780653415,41.67813032898743,39.10127212530359,41.7125805483166,40.15315314265106,45.12199207790092,42.76245331416949,45.005050974565584,45.514914628421735,42.32104778711054,41.845920601238014,39.72106241120301,40.09731435086884,40.58158164443285,35.9179479901679,36.874130310868985,34.37771207086134,32.10256585054367,34.58617227386585,32.019167779849155,28.6373544634642,30.431780723228208,32.05740509040486,27.379422853363405,25.87251973619555,29.570557254585292,29.636560735819238,24.0661358906355,25.83520578175918,28.05409649677853,24.182033158837747,22.174588765814395,26.66500386367103,27.428008352219177,31.604363960828938,33.54009071221706,33.238854020846745,35.64293251315679,40.526291957005185,42.931270635088346,45.412381860712195,45.43386169854544,44.533507202287865,46.229874206365814,43.297512774950945,47.785745527300065,47.15819769591846,41.46656491251553,44.01866287413162,48.096555398636426,44.52208913468422,41.97981458908783,45.066603046184376,45.88729665831734,41.67163444545327,40.146375487418794,37.024318271609516,38.10787053774566,40.83943559304067,39.33655629831366,40.41245930773984,42.037899355664315,38.84424269884831,36.25680441010264,37.47986823911705,36.60921951298414,32.28134954821115,32.08270204404192,32.82937565549452,30.08430103579264,28.315979705984248,32.98689670014659,32.147719095812946,27.536872956325315,30.480385492871036,34.39584374017104,34.443880685692896,37.31177474025396,36.59628043839387,40.766625688378944,39.394875311607194,34.412373184595715,38.3054428498653,40.277373007371004,37.29601288556761,36.27749366626845,42.22793910684872,41.434373513790696,36.580812493594365,38.96129234034103,43.776432329897915,41.976203984811164,38.407433279420694,33.77913113940726,37.98868720461564,33.92099534321869,33.97648124982523,28.754199616932155,27.90209767942357,23.12685399038975,24.02527315791107,26.09481565424293,29.698129066011276,29.931602065270248,30.51873327647876,26.251930144442653,28.735968710534333,24.064468100639168,22.586451552015074,25.21092347173143,26.432208097166452,24.66917597909386,20.763052952054004,21.712176214408807,21.17759409681902,16.93598137151754,16.411252291159837,19.51574140120343,19.319663983788256,18.569638856426366,19.00501838478637,21.189611181051923],[17.103816685051225,17.13392703319849,18.743309073097024,14.145868571309027,18.01996029570293,14.409508990519297,14.903909563053467,17.60928523654254,14.30608181290504,15.191324989457089,16.527264322060134,19.599621362761127,20.421919087886206,17.253076358497413,21.860743841817047,24.22494633656777,23.282277681579966,27.125921288246587,29.28083402198885,32.45205635678805,35.41683117090494,39.52569956456123,39.97906202303605,39.360530623895905,37.24594391139879,32.79005747562906,31.27558328466168,27.363049542590705,27.901904568846042,27.651421699423903,29.192303127451314,29.646017337589555,32.397158795547284,35.95900961787406,34.470335999830084,32.802635250254234,32.649626694369815,33.406235199858344,33.663669937950445,39.94460367131921,36.6973575721921,36.60756892638367,41.00999713773182,41.24248725300828,42.228710586696344,41.81266022557191,46.049668146625685,45.36300561095485,41.93637447874818,46.51533247039417,49.17401825322341,49.75542855054616,50.90963945529267,44.54874283523105,47.7652012110648,50.859279212810776,47.46310306730253,44.67288485977351,48.75298149236738,50.458289640133714,45.59961561290391,46.326792514112434,44.18130036139724,45.790074907282225,43.66463614480759,40.13330392381211,36.53704070563124,33.308041175370036,30.19315126223585,27.366370824303477,26.417957331368896,28.079059096143087,30.19031397896132,34.126520544191266,33.6590518698833,39.84807091639148,39.55026220525211,42.12390008232959,41.70717391310846,43.470345635451594,41.86595216766471,42.2910653336872,40.262022130900604,41.33950835672915,38.56923594747768,36.466105872708575,37.54585325401344,37.92662262223292,36.95602364788774,39.28999167796028,36.37629270073138,38.48033869917608,34.84494179165236,32.91603638520337,28.31829778393335,27.80388235229512,23.591016733034134,27.29679454771013,25.348507615152368,27.644020920644042,29.775842960558258,30.10090508751973,32.00092825427876,31.14002771353461,34.94460090236573,30.947388313102316,34.19517480243111,34.01515708325205,30.241515069662633,29.338322457046083,24.573783371759454,24.188400568258686,19.825130705215248,20.506435110362933,19.15535468498962,19.708867037106753,22.300616614181337,23.330503506443915,26.34316010829059,24.204829476864802,21.049179260440404,18.281102385358114,17.127386945446496,15.857946867391963,14.583620147115775,18.76605546642442,19.270710773698514,23.044262188141232,26.239614366217847,30.40217909688888,30.998017232797373,35.30652634058492,35.809051957913546,35.774811177416815,32.19070507578324,27.790213066199602,26.86439115328471,24.745166513188316,22.813895257227404,24.91105496593293,26.343531817008078,30.611006450411487,28.71808218588189,26.518372859353978,29.72721636462381,27.660148904920433,24.962954630317537,23.97341618489565,24.246635799947445,20.89082125171878,23.1382083841663,21.15190272710558,25.477188564570024,24.264717521279,24.968746656386482,26.16176063901205,24.35465391343125,26.2160285330998,26.407334100557446,27.628894468494686,28.033706025932496,29.642080469167585,28.585275275402946,32.95964780859381,34.34063077077233,32.41521821049264,35.15235057510301,37.07377300268243,34.75905116756536,31.022992563026186,31.264917288592937,29.018703171230985,32.23101158320952,32.85601051567412,33.255860146778176,34.04159637209897,31.736715954138475,37.08844087074458,37.063312536677216,38.322022582469856,37.040771167525264,33.87469582828513,38.60568749171433,41.20137006752227,38.43959573808231,40.9999081884922,39.409808246187474,44.16538407010884,41.37995475697591,43.767045354424425,44.174483237184575,41.201397548674755,40.676355756231864,38.657047386436744,39.19716379726255,39.73087102638319,35.07352700732703,36.363023759623914,33.931304325349494,32.08315598705076,34.75704098998045,32.61473177352071,28.972907259423312,30.48669544543986,32.583627582226505,28.09089890046557,25.837397435515403,29.866496504554924,30.641620329128262,24.79674139728611,26.264947214107536,28.885718450854952,25.390269808826552,22.819293425633465,27.172118586297373,27.523214026185016,32.2036331429284,33.27197381006658,33.31792026950741,36.06287967128541,40.82350882419587,43.51759543879006,45.82473503065328,46.12370620501457,45.116418836324065,46.89588013589386,43.984067522248544,48.272513540532174,47.46267856809199,41.640922712185485,44.247280589599335,48.069408241798094,44.28958981682195,41.747239152964575,44.710323528618716,45.247092797342546,41.01819876475831,39.44010512668018,36.65566894791946,38.12324971673028,41.04705047392148,39.8890321418363,41.26773714595026,43.25000404783519,40.090614143357705,37.16972772839096,38.73835020999238,38.20940893806553,33.67419568893382,33.31642039151955,34.52826096350817,31.970318964832323,29.825681143348092,34.54713015691913,34.06735054471865,29.441801484939823,31.960737628852467,35.93480352963231,35.63026810998677,38.51334053848384,37.67308115222849,41.68218093276878,40.25356189456552,35.050405781592325,38.817182874438046,40.62878892056594,37.54179102987163,36.27779443609298,42.2033550469936,41.22412113076732,36.173232188444665,38.460949612984656,43.26970270549007,41.29306470841073,37.574202110807484,32.88124846450273,36.82619987908349,32.602500152149446,33.17318642567791,27.836820545311276,27.439900670101505,22.839938109674122,22.99334982183901,25.00377124767466,28.3873044075496,28.732900823451534,29.872548893234644,25.67786829993056,28.400865796069247,23.71599203234031,22.881959804480754,26.073066437459037,27.66405441438035,26.21766206577047,21.853017680505854,23.00022755242427,23.115978598642492,18.55442234931305,17.73608825661448,21.37883240867245,21.780201585270724,21.149302985860217,21.692341500912836,23.973205142518538],[19.573747605575164,18.981063458831134,19.470820154297716,14.57458962406773,17.03561803416478,13.845121051254582,13.072624789828376,15.822629119853001,12.230155296355381,11.865389130449307,13.362053744944069,16.985822838190913,16.879477198293365,13.372535634373907,18.17064960172022,20.48325671239153,19.12834306865253,22.87273207710822,24.860133440872286,28.06342598929635,30.97963674301843,35.088545106692685,35.5234272344619,34.91936027960442,32.804717327311295,28.33710069373761,26.881962115769465,23.000864936054903,23.677582158270916,23.742254338748662,25.352994939996996,26.11325205494721,29.051734943556053,32.342365000247426,30.688303298943673,28.7514417305591,28.819689998986522,29.22359360337878,29.47344905498072,35.82071280782375,32.46200882923162,32.23044989915289,36.64198706833514,36.900161708415226,37.87804590571945,37.58035129041575,41.79405974668242,41.05077238361555,37.76156542945316,42.41966917087966,44.983604654277805,45.61697953279383,46.7032330858212,40.37948079342814,43.66038355074874,46.615750491009095,43.13966054396117,40.41884814440749,44.503125532762915,46.09303579892848,41.20826489899904,41.99305537650473,39.93515065811056,41.445945685349145,39.25863989964056,35.78181925296204,32.181535121538424,29.04296024624783,25.904751292404516,23.262955355264594,22.27951483033153,24.189048255786265,26.257133424867785,30.00884890616544,29.60112837012228,35.84811660920094,35.386872545261795,38.13797002355296,37.63093671708921,39.304655491151586,37.86732644207806,38.24703474794393,36.51193516971212,37.58377626024394,34.67440782097673,32.53105762763243,33.398791678827926,34.02527564163907,32.81987736643265,35.42581013747813,32.45470829225901,34.69151387403356,31.195545808657226,29.479446887610067,24.857915964912863,24.67484028553793,20.40865338554853,24.234760595975487,22.544950099341484,25.510633962790312,26.853047138326236,27.640583162538533,28.914592868625824,28.48319500192308,32.099740502542545,28.388110219074232,31.996249656322128,31.891100180991806,28.46521349547892,27.412524459576904,22.7840767595432,21.567148643925883,17.13472148056017,17.192413062103498,15.257051459464403,15.605243570486556,17.957683064908064,19.002839750126686,21.894442904435092,19.78451823033743,16.599420268909846,13.874457358364685,12.809099547968671,11.822412493981924,11.201267644729775,15.723304572825864,17.443335297234746,20.60009259696122,24.07841149681419,27.8767669375912,28.83208303339542,33.128922030424434,33.21098191181158,33.027625254232724,29.34195101737953,24.821333224884757,24.435849024140783,21.690222153136844,19.450594310065732,21.158074082226126,22.448109275721716,26.51986792433243,24.434450874657223,22.3386984872805,25.54208581589688,23.512531256246312,20.91597135248976,20.21453229569925,20.94100571721611,17.96560672430371,20.904249488675017,19.303875936713386,24.00868252240771,23.570786797130776,23.510760984996324,24.13115752476615,21.770078982290798,23.70810049327309,23.24110661733531,24.68138872146778,24.63901574956856,25.80376571120555,24.700842726324073,29.02107975415939,30.595486722016048,28.80415208030018,31.811116337603902,33.84853027049573,31.879558342607325,27.96680851000604,28.21875093626626,25.647418896860312,28.727242949037613,29.332802215659513,29.660295896839287,30.67878862270738,28.204091748816673,33.6995362222133,33.41891674366964,34.9013352585905,33.49613607083022,30.762595356823873,35.46370887464152,37.98494865665933,35.06716376458369,37.261261138161814,35.43270769197244,40.2142195640721,37.43977068469001,40.013221704904964,40.62855654032363,37.7078199960941,37.52786903810966,35.759075528820496,36.57052850740817,37.48406138715647,33.021586398765336,34.64301880465868,32.68387077449931,30.752444473164196,33.976936564262694,31.858819141780142,28.0834753712947,30.10575068374786,32.50260737199507,28.084140067386496,25.999074393700358,30.361325316514993,31.297911235171714,25.69713894025553,27.46752982073165,30.33722301581401,26.94034989740292,24.630488168563037,29.192509548382624,29.16025845894478,34.00914124738087,34.596955859334386,34.35037165374327,37.29621639593906,41.775655210728246,44.78963667261194,46.64260004360625,46.711690510049976,45.33136047810054,46.81259776313286,43.58022160618869,47.7272279405475,47.23531991601628,41.219934965061114,43.45779756218669,47.37265748962971,43.713218740957544,40.86341323238474,43.494067788667316,44.38164311802304,40.32388295784107,38.056366650114214,35.74182833682714,36.73482570221244,39.868127478134646,39.14444203515914,40.33114784775791,42.649373785414134,39.14975150306539,36.317771855041194,38.4903994281417,37.83550401282073,33.1067299527325,33.249605338661695,34.812514244390925,32.3451737481325,30.37463114596479,35.315961886518025,35.09204755436636,30.70364989327576,33.29668275660448,37.26423685179294,36.7403700671678,39.25413514623237,37.942066632465576,41.93749574318921,40.998051784552864,35.59315947092029,38.90514940998669,41.052764401920925,38.14557015811189,36.32765627010745,42.26185480274096,41.7283318136841,36.51775259568806,38.27302852256184,43.3372278343377,41.709951990425814,37.90077846589069,33.33721715931258,37.44276384000955,33.430005626499906,34.42072569347689,28.989206262399563,28.3022576928797,23.82885918523202,24.015325849835836,25.460178366724723,28.689011281874222,28.515319176519323,29.648865474567756,24.942360219218358,27.195397805724873,22.21833238912255,22.265961743846155,25.155375134541632,27.23683414182218,25.40170061331251,21.125856222308904,23.188362015510315,23.366000718090763,18.143859170080354,18.419170760270426,22.529006858368458,22.836663090506672,21.966835210100996,22.226395617388917,24.581635104869065],[22.625739541359927,21.707661419822742,21.89774466430582,16.489881217478032,18.815030134581033,17.158422748058666,16.278692694046885,19.55869520991091,16.29052353924274,15.03151417385895,16.674267414333528,20.68801619069193,19.565982667485162,15.64742169695626,20.423958038291243,22.718572928871616,20.512320150719674,23.755952384081027,24.69661107405338,28.26967240737962,30.670425084760303,34.78414350111541,34.761763209381726,33.7166453467704,31.991255624437468,27.600578723570308,26.66081084016163,23.216608166624955,24.67785796082848,25.57376411805836,27.16121527925382,28.586054030652143,31.677914758107683,34.48228036504189,32.65985763972745,30.180636554878582,30.690735754298235,30.12613569570707,30.04272194961992,36.38386888977064,32.38892552625041,32.147037454214825,36.5714878430473,36.44565994419779,36.890978071837395,36.39341527356189,40.542912180565374,40.30417674056117,37.16294507593949,41.56462293878046,44.45586684110673,45.31092913354573,46.58899925173887,40.45798829086392,44.13223785586204,46.82232598692972,43.03047029567431,40.7779029020447,45.00514289786912,46.043140034160785,41.19198773206326,42.301538534602486,40.564358245142785,41.504481697491364,39.13749921709917,36.06929432787949,32.14636609314111,29.545884458733877,25.88502314519008,23.893950192805622,22.320897834612502,24.046993623166678,26.7305189936804,30.11072826736638,30.44450804011929,36.70382826253867,36.218536338026105,39.41153572597206,38.844058473673606,40.28891291645712,39.26950749057891,39.36141299206724,38.217038904500924,38.97059002455519,35.67023500616333,33.84604882045962,34.384408300835254,35.68479741694757,33.960733569495446,37.121873341167785,33.927453407102504,36.11413021610437,32.921441851842104,31.695423235931763,27.202817713743524,27.201473761576644,23.061549981305873,27.252883991139626,25.939976180558457,29.408658125585024,30.06478301977129,31.117637212726503,31.740145564618505,31.440973436327877,34.472044562664934,30.817133401119136,34.50093630808484,33.980033622493835,30.670587175314076,30.06442060375509,25.42872871214833,23.835651567365886,19.760077554862356,18.81602674476164,16.826798819691234,16.04578721686624,18.129815449374608,18.048052426529335,20.962515498241444,19.897849107051144,16.38417284784357,14.403150848441232,12.34531763803613,12.430460340855793,13.034616448284373,16.821311476192953,19.626502857468108,22.2581581375516,25.795371640429337,29.590799689068362,30.022035172452906,34.502271978691134,34.095872084614314,34.4362833075684,30.13935271827393,25.678023671478673,24.83303584086991,21.687601659527807,18.831846657801915,20.798946766827065,20.913168362211604,25.116349145913333,23.530390016101684,21.94989309499283,25.498827174535812,24.23144377693059,21.687143266101394,21.931204071132314,23.1575499067276,20.886527451720927,24.240988363720415,23.254819140218636,28.104182295395898,28.088588846120025,27.80149841536972,28.06047486356793,25.308932092688373,27.064430576407677,26.057440511365257,27.223602656326566,26.225676299569535,27.116942485560706,25.120147462422455,29.56978844461145,30.61837238781277,28.125272483291038,31.516608748405744,33.01713803484139,31.261023619111583,27.282101889562693,28.0947041771175,25.67432950198944,29.275522823749874,30.387971547839374,31.087829094028944,32.66883462339218,30.313172291792398,35.92616265153334,35.02269304094228,36.65225943251412,34.59098073158869,32.44648428654898,36.66999134709774,38.83552987010342,35.68909182656152,37.65843397393239,35.715143093133804,40.15120481743001,36.807792667305606,39.641549908382416,40.17513652694526,37.62787015149228,37.47562291611115,35.939460717179344,37.011812310387356,38.03235453612401,33.684263506775295,35.73617061741971,33.928450072003535,32.5506584881783,35.93984691498417,34.33067547390215,30.361657396246752,32.01896853803619,34.87577522392622,30.741400309296935,27.907878139914395,32.50105261194141,34.139215161492665,28.365898037613327,29.756150510642748,32.93999208878834,29.952217842372907,27.130865715091353,31.41141467249785,31.001300505659746,36.26484110974327,35.943808192826246,36.12833426902634,39.38201433639488,43.69434256906194,46.95892753394035,48.646856256966686,49.03875865263226,47.576460947943545,49.145493488706876,45.97435757400857,49.86009299722114,49.16408949679816,43.07213813958102,45.343797398272216,48.91840463193005,45.055409645952,42.239290723494214,44.672184785147834,45.205412467182285,41.18960602756636,38.86383490692886,37.033226599953444,38.450618853638474,41.76729801766556,41.44791618588143,42.94203393540303,45.603406688122696,42.17460414295141,39.04479215195373,41.531794602964425,41.21579984341912,36.356676872278925,36.330341934546496,38.289355878343905,36.0098489329819,33.717899569964956,38.62111744320678,38.69621961923087,34.31027548753641,36.48853336386117,40.46845868786785,39.638373271245,42.17444528675186,40.78593913830536,44.57126716626476,43.549682199754955,37.998336277249656,41.152415006938284,43.07858787448935,40.081951866031076,38.04229085276608,43.85913230625838,43.09338885851668,37.734320696809206,39.36160130764266,44.33955788244355,42.499700913142405,38.56344324924355,34.00156378592932,37.67093677554761,33.52057251718349,35.13118591404507,29.69950823778502,29.61032420625123,25.47882247408947,24.76601647214592,26.103195532846495,28.93519300998267,28.92087742093133,30.73764479691023,26.26412637075829,28.719554211677963,23.894444549353874,24.689004480709574,28.063864837747673,30.44020959246171,28.94283207835401,24.38014103494804,26.507891957037028,27.221640988224518,21.9470549454646,21.877068669791097,26.23294857338481,26.987000257597064,26.239579951823426,26.57502331241923,28.93683124077091],[26.008543837872786,24.99584464339395,24.640522398034282,19.464828578920507,20.543098332326593,18.65801565470875,16.650144480106572,19.24617646813021,15.592511757139917,13.009623112120966,14.073712535673762,18.398065327810187,16.62276516716646,12.185583804029074,16.53888748413104,18.955823065004196,16.578246544920137,19.329679280619096,20.080713209023102,23.881990822534625,26.135759685259732,30.41635442522394,30.311603083005334,29.490970560688947,27.895481153241622,23.40180173254802,22.750519253353115,19.32480542176198,20.676622428663503,21.914240744193748,22.896283587272645,24.979221540441195,27.92535655453371,30.34570461117754,28.658021239908912,26.021427282432978,27.062301575506424,26.30037341498526,26.49151713069386,32.93872460817724,28.973948587637157,28.165539148801134,32.57249787671873,32.741635727480215,33.252798465169654,33.1743830732504,37.235206293600136,36.75918041085589,34.03044847321816,38.65755123103711,41.207591642662486,42.128277495455535,43.13149541832395,37.07184324038639,40.685932436931246,43.06824983457931,39.1891649054976,36.91126197028942,40.9803557604273,41.944404238537636,36.90132412043854,37.78442540666198,35.975182470560334,36.78341939447984,34.559657115452566,31.555551909033966,27.38248206981473,24.827161535141403,21.004994914402506,19.060821076088345,17.368863741358254,19.11054584153651,21.821203102808376,25.149130442510277,25.65187015765035,31.87638809620797,31.549931060223525,34.824914551788716,34.42594441380015,36.01384934305987,35.32970620035812,35.66550668012352,34.9130114167959,35.93910650563395,32.624214927279915,30.469421787363203,30.501113268941946,31.879863176560225,29.678665556285036,32.8192333483238,29.423455523988736,31.46468038026379,28.418483323051333,27.493519344458317,23.168733712381727,23.264936941996,19.31786062265836,23.838308316188762,23.071376888411695,27.198698743040993,27.233356176801898,29.11900593377745,29.153346207533684,29.684306179295834,32.76398086419569,29.678682062448242,33.75083100091062,33.595424392411424,30.78704991365784,29.75069149605703,25.490726200290737,23.013310084504663,18.910724417310362,17.46835833855105,14.33111152180526,13.471423665471924,14.581819651839632,14.68288736867413,16.631621506557096,15.453726943341206,11.927652199841827,10.39811266443573,9.337530270736352,10.450250315443027,12.203750964074079,16.33055089162821,20.214247747338952,22.086464810337638,25.817177837653734,28.947817632922547,30.101734691271187,34.37265391716538,33.569724495590016,33.454592426595156,29.362660096273157,24.838234510420108,24.993459370563855,21.124355967806782,17.96776202810803,18.999934639767947,18.81611792660414,22.41654843921471,20.25414763050255,19.00895005262445,22.365228775105706,20.922958284351388,18.793867530385008,19.2740608041171,21.157332039592383,19.29116850175637,23.248192076255638,22.26783784674154,27.204763948433484,27.547621766806706,26.408132379062536,26.34826487088973,23.255131051353256,25.372242674395576,23.589664996148386,25.47031350174965,24.27291046029487,24.2558505187958,22.661627555458768,26.793236269443288,28.451879053236897,26.44579903056917,30.200067758309746,31.979436878524293,30.792287369755176,26.637861299927803,27.332020595629473,24.381818090112585,27.464220331589768,28.296027387462672,28.61593536291568,30.271815486157685,27.470336275804264,33.1438864290198,32.19743387120998,34.198372822292804,32.32695577212256,30.760385183094346,35.074182505341625,37.22710566572784,33.95043393658012,35.24843313827589,32.83410364291731,37.40541818047998,34.27497841238045,37.423071609741754,38.37770138875105,35.866249427287045,36.32038676723194,35.15157602412279,36.53794021058774,38.04732944409674,34.01007241392902,36.290159553534345,35.02693478802066,33.35543299617755,37.21065932634839,35.4077517954808,31.49109742351564,33.80034391776226,36.673596720858505,32.54147942870703,30.28384054320504,34.9668288226865,36.35445410210953,30.96180044317074,32.743914394618265,35.905705475007814,32.78790250312221,30.445489052160486,34.952044380387235,34.477200474793,39.61746937545737,39.355577382026006,39.142969445420924,42.38410450425034,46.514373563007695,49.895193868641634,51.277881084605596,51.311562008256,49.55988536786543,50.78030309595819,47.28172388085257,51.10973880039503,50.84942449177976,44.66051192757804,46.49625874990581,50.28308884597989,46.67463992461219,43.54965946353448,45.65109981363885,46.704744474226274,42.90965861031458,39.87121186681994,38.42563775377782,39.098456079120844,42.52207616697189,42.49778606804944,43.58676144128782,46.381430064189516,42.56955302595109,39.78086978840137,42.68501406472129,42.014132771026716,37.125895574901534,37.72108021761483,39.71731975481694,37.41662287208116,35.542414172083184,40.58821757446188,40.661437062631336,36.502749326708745,38.995317103497754,42.92711968133546,42.12269818621794,44.31959172922645,42.57139941574796,46.41964930424692,45.889975413391404,40.29889173743637,43.081763692853144,45.40163420042673,42.63445959292241,40.2195282903447,46.02378136048114,45.76733969117031,40.382408012102566,41.5409328396055,46.73729238604951,45.30895408035297,41.37714187510395,36.98712829674429,40.87504095644713,36.98555341766539,38.715168155993034,33.280960150837736,32.768102294949934,28.66921366638896,28.32396009142146,29.239315886917254,32.00165061998143,31.479045292922294,33.0274188770223,28.0853770829935,29.888113452428296,24.84720912411663,26.20717564025331,28.890759003527055,31.522995342412614,29.428361697034543,25.33676369922814,28.195160232717416,28.556359520058177,22.94284477488106,24.00791417305717,28.391760589711083,28.68265595013984,27.64906216941223,27.57542893696396,29.870638291998304],[29.856355811233275,28.939301620832506,28.825833254358546,23.407378298024767,24.852231221341807,23.49608225148253,21.7281092113639,24.4705017105194,20.794214863969856,18.120549698118428,18.863211441633183,23.209096754197176,21.307219993505345,16.67152818172097,20.412412896253237,22.956700208102873,20.325984920896964,22.226906276251952,21.88159857904373,26.13182693640788,27.634064342446162,31.982619980154677,31.251799531786673,30.108306024834423,29.19296690157481,24.85272570068475,25.02326566958459,22.17683185078283,23.980503262582506,25.832192442715964,26.15508668450483,29.01363810907341,31.725162243272244,33.66389231500339,32.176258116479374,29.251865095760767,30.889319240082596,29.468690411153183,29.559349384989574,35.90589026455229,31.478074807094295,30.344904127116187,34.645545689156826,34.61316846985116,34.547225368663206,34.469147317610584,38.331859976213465,38.32911993832445,36.024443386644926,40.39178555277411,43.108187529976114,44.27708604666439,45.32218627563141,39.56646164358864,43.44568764878739,45.39147735602648,41.21066407344148,39.3843223105695,43.407344838926605,43.79762574736947,38.70297609834656,39.63610941904848,38.024642147545485,38.1385085395704,35.99007929678811,33.517931592947726,28.79301993681627,26.85159801697478,22.417115378700654,21.0453820312278,18.68132917440237,19.622830978449027,23.122581744106284,26.15903796230771,27.62948791659687,33.616369575635915,33.694705934638506,37.245210200467355,37.090627578400785,38.67615561154481,38.55203225225348,38.86605213377979,38.70934551321964,39.64785383746546,36.10885448232319,34.068685846887945,33.5880329152909,35.39825864751368,32.551479950491256,35.84008756915228,32.12385680845696,33.72773660923098,30.994203583408613,30.58504165738891,26.611343715015984,26.494971294513515,22.91696254418842,27.910127076397593,27.580385826378688,31.952420841072616,31.81950567885745,34.07916843477461,33.801196686141154,34.5994851108321,37.42820539427667,34.4673920422388,38.564261682290955,38.2110475448153,35.465728102007596,34.65758130716828,30.400868228686058,27.82036514756493,23.91596825130502,22.068144974266502,18.891425366918746,17.398889238177425,17.885562381423433,16.952270179831615,18.064604331912154,18.011972804764753,14.510134640438576,14.130740797666876,12.872196049298998,14.83477511924703,17.083952612114967,20.695734394999445,24.922062303051153,26.59845975882824,30.295960523231116,33.39902459628251,34.21228118905765,38.56029460922526,37.4315601050274,37.65083942301666,33.210949519801694,28.81134109792395,28.6418874177287,24.577825190773325,21.017331988700953,22.105778725767003,20.632430679449154,24.000204827137456,22.26846517470642,21.777305243397386,25.23369894098143,24.40852695465008,22.55983569707286,23.661727860842102,25.871100737373155,24.340009741305458,28.403786458469053,27.46917295791177,32.38700213320744,32.57324987537789,31.35416594430515,31.37077974138343,28.234016851655362,30.427165753464305,28.352389748267687,30.28361642130694,28.607204165773222,28.203703082830284,26.135927429875636,30.156349108738628,31.499882433468613,28.999777556184718,33.09113802308703,34.36022488941492,33.46199402244432,29.328373206746843,30.498602039297904,27.699952419037373,31.04721369564967,32.18239321472915,32.65427484174114,34.62777623452771,31.78745203228318,37.452587858825346,36.174943341287445,38.35172274702269,36.130551100048386,35.0830162813587,39.04652910959415,40.91344999618226,37.482776390998396,38.426656363589316,35.80586971518563,40.03106615239933,36.46343213272474,39.92139093898391,40.88675704761603,38.77200634313439,39.34497234299014,38.430998045716116,40.03110957605858,41.61572955069303,37.70227046632669,40.246792210253666,39.035879671025675,37.74127537213136,41.596846808521676,40.079950198229895,36.08021919533339,38.06983045204316,41.1462611745968,37.132410363787976,34.39707511287306,39.13707932341777,40.87320895363331,35.27722354053494,36.75791589975738,40.02424824235757,37.05847290463112,34.33290279491441,38.61591097158551,38.06053004106643,43.40970719446923,42.72815166843393,42.920632771726076,46.2991041266052,50.424698894579585,53.85978108397678,55.29405332726758,55.60423667077338,53.90204452400075,55.24925992348068,51.851281694749886,55.54797640532872,55.096148634324784,48.899989255932724,50.82496333803924,54.363164579979255,50.59568094036023,47.559021663895734,49.563850614966476,50.29327542609171,46.512115779287434,43.55893002575313,42.39555695173671,43.41990196584444,46.92373126631632,47.07749670326193,48.363123326188585,51.27957094419331,47.54403876865418,44.604373578913744,47.55840557708523,47.05312166323791,42.133186301257204,42.556941925855206,44.64456400800471,42.374793321274176,40.32023500905137,45.31472203755879,45.426861121819236,41.158920936328975,43.47263804392481,47.43329913607979,46.55151136643728,48.887549613411664,47.22739245893199,50.97597495581726,50.26037195340074,44.63046122874672,47.45091708638898,49.544931390066594,46.66282173156111,44.25795694912304,49.98051468946969,49.43395256015724,43.99220498478404,45.201135610354726,50.25559672414985,48.565182052341626,44.5702195886132,40.1539200971745,43.62163727565243,39.55847597381573,41.63490055890581,36.24870593413199,36.275874556291875,32.35042233725694,31.378771393742245,32.40841574422946,34.90378597383727,34.664209015356974,36.713578662289336,32.06732222148505,34.09467468766638,29.21792935183451,30.79528758979673,33.79026469377205,36.46244683519176,34.549945198452946,30.313673431160414,33.000682427082204,33.52779400900375,27.98839590237969,28.6563040174359,33.032857230969604,33.46243011211062,32.49121568824232,32.43613091173725,34.6958428533932],[33.6373867871301,32.43088571704508,31.595002669510738,26.41766050491118,26.582322154508585,25.495597030608973,22.831073159566913,25.021129126039295,21.5201122916213,17.771193673749845,18.13091933980557,22.407312734646656,19.49021116903861,14.995519686599385,17.755960731350335,20.0058968292034,16.924630276214017,17.80670419911811,16.621329012346273,21.068832820166836,22.132030309078345,26.523361088594005,25.5908656052263,24.555642964993893,23.891294110500624,19.603917262396042,20.317760480859928,17.911693409497442,19.88010033468136,22.39989628255636,22.263520696803507,25.841553191471338,28.46843544269887,29.705473521264185,28.19692446232532,24.933079617456254,27.18440837725806,25.13672397465195,25.348472360629856,31.560409158282464,27.081360829469705,25.386932929084125,29.554999605197555,29.696086298520804,29.562631560361098,29.894457375447875,33.575516266400584,33.4240621431285,31.63614207540811,36.09962871202779,38.47877671977567,39.75891318708195,40.557356148291824,35.03108203331656,38.90035081312897,40.43529203697861,36.139530458932406,34.48076128213077,38.33813201167441,38.46989944061029,33.290916112947045,34.16173286710766,32.67666968102866,32.47461126782598,30.36399672507422,28.146828391966192,23.224896423772556,21.672928167916947,17.037136384614158,16.325781339422978,13.657519173945962,14.713116312644875,18.284505418444486,20.787854745886698,22.681921827027644,28.49847404472397,28.523596242260936,32.31374508224514,32.18154098874039,33.694375821857186,34.044557068573205,34.422561328268394,34.894317802743124,35.92175159235526,32.32416660014062,30.165985969825087,29.075047463428763,31.235719177480274,27.821395630500742,31.354240901481408,27.531401708767785,29.088042474951955,26.780973350097785,26.924651001167057,23.356082025234365,23.661195780242977,20.565183485429426,25.464146228651327,25.77371917486199,30.737573106969677,29.576393356219288,32.543375873368056,31.390673618126655,32.95993481836779,35.460508902886865,33.18679064835164,37.551916199105065,37.42893183913882,35.31096454921145,34.25616465547521,30.52687074137954,27.11273021677359,23.590981873025534,21.10497134068295,17.23271155547231,15.408111877233027,14.544623657584811,13.360277102986181,12.967024619643713,13.494611318290708,10.36092862223682,11.361366125697087,11.108030272872174,14.10074873054787,17.31373070445835,20.520348193682167,25.683534316498534,26.39633979545881,30.10120747876829,32.40532492227667,33.779114878458095,37.81892177332922,36.18270405020512,36.063530041447976,31.82718682773246,27.587595019983482,28.34743904890336,23.696672060518495,19.988235560424922,20.012555077312594,17.9731120591191,20.367567147862495,18.219137329689293,18.389809709585656,21.479250802910364,20.849835711715496,19.645823821065083,21.3063930053488,24.169969668166377,23.444766215579193,27.93810525356105,27.399815882476947,32.24710175793862,33.1069072976069,31.090934417021312,30.51878726017495,27.012908782880302,29.251327466353544,26.340774156553053,28.661933866794488,26.504856131484708,25.102058950021775,23.24270672099033,26.72627720758058,28.495786353302048,26.465700246016862,30.86815007931895,32.29307433289583,32.09245521646526,27.928104262892212,29.026941147544353,25.841616899723547,28.601441717424983,29.553083174974535,29.751798183232786,31.942444103936758,28.86582012592146,34.405465931605335,32.85021409946406,35.37491255296323,33.175944596298216,32.96211641263145,36.719582266611106,38.41351975096595,34.88297936490891,35.02376553646254,31.949343924490577,36.10264793331576,32.71845864823515,36.483862308378086,37.871395853441015,35.92924502523521,37.148022697089324,36.70789340080888,38.659808596692386,40.75544480186426,37.2990095422366,40.11261496790556,39.5434111597698,38.10694679536674,42.412495208379184,40.87179854816976,36.9591078670133,39.488443495933225,42.65787420377163,38.806165339258676,36.52626785312883,41.350314501438454,43.00906047226968,37.85651514448971,39.647013928757595,42.96350433905246,40.032584496621126,37.718524140385355,42.16160437800934,41.40270344809118,46.689999104551134,45.82717616268804,45.63384837659473,49.05676795325446,52.87980108644968,56.51255805805735,57.50764483434643,57.48738807571373,55.43307332226621,56.39539390181097,52.684831762252436,56.1966856742562,56.178995146664214,49.91987781067106,51.348450107704,54.9899136791127,51.503675099322024,48.17164154396628,49.734214739754314,50.961499942741426,47.49015049010896,43.78301866947729,43.16176701306832,43.47101356563502,47.07352553936056,47.66219325866165,48.59693072924023,51.739541520104076,47.68371773654973,45.03762545481524,48.50915583183864,47.773724055420224,42.84973369254937,43.85231338103414,46.12239977124575,43.95436638705785,42.231492612020865,47.31033968444827,47.57187315118833,43.61780870106353,46.07168300834517,49.94926502677074,48.96624723487414,50.887828340281246,48.80249059832945,52.50664274684635,52.34023051182101,46.66817837818772,48.98378193120792,51.44279731261834,48.83199886106634,45.963923673570186,51.575388872013825,51.57869141770119,46.128548145913065,46.756151996646906,51.98826860930003,50.76554068811684,46.792970119995104,42.63222187041216,46.2630053971712,42.54863107018442,44.83937836790216,39.493070488978766,39.119343967161456,35.35773209592483,34.657435342411745,35.169385781271124,37.4935149441337,36.7010190860367,38.52639342885719,33.53244971830233,34.868962795420174,29.980056309404254,32.26129638845606,34.62934010812702,37.601156024475166,35.29073281039664,31.519990437835624,34.88711192175988,35.29065113959954,29.542903248698885,31.153099344382962,35.61630665166572,35.81360117061057,34.66249792128741,34.3225260457881,36.50588840149768],[32.37061303560138,31.631102069994032,31.368122721632698,26.362896589707265,27.078110605073885,24.79246080045178,22.266547651106958,23.94186500736326,19.83464692825441,16.456182427001227,16.047600726157395,20.226269742185053,18.447132484307495,13.573502631075717,16.06130050635073,18.89778810847217,16.873576665082854,18.015403785438984,17.971039808466017,22.400309495136028,23.857999375730007,28.487070580351418,27.830813676219126,27.353800431858073,26.529142643239616,22.072554191855506,22.48993415607142,19.534192542586737,20.53242839663241,22.289002468368675,21.27736524122132,24.863215588171315,27.00535622761101,28.63959474725765,27.687653304035283,24.996676689479823,27.2340564519797,26.24310820480974,26.998111719484097,33.37916340753399,29.464121923282747,27.464402680097756,31.64974802902193,32.31658892321737,32.63479892155592,33.27754158264875,36.98238920496868,36.375477415212345,34.618931443265964,39.36703162332478,41.405332495290416,42.53265007614942,43.069171733182046,37.368995098942655,40.87881049010169,42.50617171904767,38.414457280640484,36.28394614785939,39.91564745328878,40.51448251426597,35.106856610145805,35.38060974979105,33.38957794988569,33.58664068243566,31.902457203995127,29.338300037286817,24.260016765926352,22.076767971093904,17.557393277629526,15.707875291711042,13.343645172879688,13.862700689874748,17.33600036301584,20.738439218078955,22.230132422850165,28.069042362912946,28.7223905383082,32.046982995947964,32.37328575890502,34.43143089685798,34.609315197106646,35.5432985059701,35.57114353372103,37.11704824731244,33.87281654854545,31.177934082365493,30.12425430441351,31.529290902105778,28.236092424175048,30.926886863206665,26.94549193888819,28.078646627275575,25.35906607731562,25.16609594823779,21.539730562663866,21.1446277404587,18.013302594222424,23.434250303491623,23.778255340002243,28.55903851890079,28.234841500826448,31.446119376064694,30.9216565355753,32.69604083975322,35.94504971514655,33.64479507390035,38.031106105423625,38.319284165889194,36.018012540616404,34.535988922987436,30.724173292806164,27.58716933233356,23.575906193788374,21.884276949814605,17.64759352645559,16.824558808968735,16.11443286127655,16.125235300047066,15.409915768927378,14.555460350178333,11.566503985671108,11.786452262291268,12.758800225429843,15.035082499465824,17.539163017871473,21.642263785672757,26.080231874095478,27.362062056560053,31.127852015254888,33.5533810798934,35.344871095070815,39.345009845049546,38.1346874177653,37.58146182992525,33.77440475633735,29.35606696538894,30.354217582110717,25.9428375868536,22.539834806047892,22.552210724776987,21.447633153657335,23.888582178060002,21.207498688217974,20.924851854999975,23.78201191592858,22.285233570997107,21.068815820742657,21.83535274385945,24.44964018418497,22.9908056854555,27.28333275522734,25.910169384580644,30.629331258046065,30.750964511083097,28.73402798750479,28.75426334015804,25.634532970502306,28.402922385946166,25.79892620746517,28.792604029033388,27.551286024103046,26.197009307131513,25.258407511630296,28.685938430716377,31.055667083254477,29.54473281335826,33.73041696167719,35.56273245861448,35.11391346981583,30.907251228769137,31.63868874927948,28.286955203533235,30.713320624466924,31.201137404549243,30.96607398509837,32.61649653659905,29.1536023813173,34.70038917879875,33.83491293548375,36.364215023013095,34.84280485435524,34.12177511243067,38.421473489374314,40.467194869421036,37.07362797579187,37.34985160288371,34.24016587553305,38.7802960875249,35.852810920522735,39.50056597668517,40.98525883489561,38.72813203740752,39.932732323333525,39.272482089707765,41.01719179901576,42.99376778543047,39.3255520512988,41.8082393081064,40.98520361833167,39.12616276880764,43.25311889176921,41.27122353902968,37.46953733079061,40.18661147905253,42.98358353084063,38.821593191801064,36.9705550873022,41.629808548327766,42.734058265921504,37.55041037247922,39.520918763961966,42.56724942197264,39.25588431933275,37.16671307646558,41.758968949179,41.4028333000688,46.421360988457906,46.34569755180012,46.01538343228282,49.1941792789118,53.29900482388036,56.64758458427095,57.969820124183826,57.79842592125081,55.92407131913601,56.922363245331326,53.21827643130113,57.02003321317985,57.07212842459893,50.85872600048382,52.38528382819894,56.30746134371757,52.88635402926132,49.57696802122241,51.40624701035596,52.792828040228976,49.175193277081114,45.66602594610217,44.549114933748484,44.67478293215035,48.14127942139719,48.3008242625282,49.01584191663904,51.800642905176844,47.68948406409742,45.293414163113056,48.38159416467006,47.323654532779386,42.5249681257108,43.597685815438155,45.41675601419419,43.01344654795756,41.54958038489544,46.63790499479208,46.5210760641191,42.45712210855703,45.285480770734104,49.18061135831289,48.54226003620715,50.59979159692187,48.71727573229626,52.6409051434583,52.368005633407904,46.82063144307276,49.445135323579365,51.98208984125395,49.33226868936719,46.78321867769665,52.55951806523719,52.54252731389708,47.16539961737165,48.098616172699,53.37411273694963,52.114165266682264,48.185568813525144,43.872033277075104,47.75112185945951,43.91222825990082,45.73168883818738,40.30338990546734,39.72647314743065,35.61019891136109,35.351191595430244,36.191571445572826,38.87928560253672,38.20642573547029,39.6906259664675,34.57195615479796,35.97007118723819,30.87577778167786,32.464669722615945,34.56878727428707,37.23267993636368,34.597743225305706,31.047689846663832,34.23193646010372,34.104383972525504,28.464876254029928,30.19352670679991,34.34234154813649,34.07107143887414,32.78623305151589,32.283753627340275,34.37283765318769],[29.70538243835974,29.258751596842238,29.609482139204065,24.492998692665907,26.181010983744724,23.581316211000583,21.754154318014265,23.77648398550617,19.517199744038045,17.053440985357025,16.915187376320276,21.068963440776216,20.141698511754807,15.269618953787203,18.45960144264702,21.44793544217844,19.744291228290084,21.592705497589687,22.02699187968181,26.313424782549802,28.037213234117413,32.62245268430259,32.08080657107513,31.48473281813775,30.503335103030714,26.007643946911458,26.088382645325293,22.87469793493282,23.825789135324502,25.123182278278023,24.494635079722276,27.49665218720548,29.682846178601224,31.823796144206053,30.887867231205227,28.447156111780423,30.22506451467936,29.648891607413503,30.292607112743536,36.759191319574946,32.85343434734157,31.25078720057041,35.531133990728605,36.053741193708234,36.39272601934583,36.749916234277705,40.58570411121451,40.098116894979306,37.987587558677816,42.67106088489606,44.95077657722126,46.01199884747481,46.722478459839046,40.864346914493105,44.39338774384783,46.3065288133594,42.28167618931383,40.05029015512953,43.80665023885329,44.56948603484858,39.22272666700928,39.56338896154022,37.5054961186467,37.90607245702867,36.17838364468828,33.46153182079204,28.5383818312914,26.143503304605783,21.793015756977262,19.614919729147626,17.49190907063379,17.959854367459165,21.315726429719724,24.979979981444977,26.18592065226695,32.08690898962981,32.753753299259024,35.90304187240528,36.201617452052645,38.29072600719354,38.135637221421625,39.01011016418212,38.597300747470385,40.07219953929105,36.86907123925742,34.273676769071486,33.65238214808641,34.82435895158131,31.947424540402082,34.47199062684421,30.60197184599225,31.76717716869072,28.772259240327273,28.170013861119674,24.290291455475202,23.573414548059574,20.12605200461961,25.527969706672376,25.371278614488002,29.636238921364434,30.13336796198935,32.798905411192266,32.94515737298266,34.14890049145794,37.643637601291346,34.856058877353604,39.0372660299349,39.1762517521702,36.425488271845495,35.10333943418454,30.921666237770054,28.414837363279005,24.134162106443778,22.94214940971129,19.23483181440579,18.631859038880418,18.83402016715389,18.902989914247595,19.2054425998438,18.144926872664378,14.902979861862114,14.254833557681042,14.447805402610411,16.018115063609375,17.785392659213848,22.168204940651762,25.867844806973515,27.854714254490318,31.59843094493895,34.583189831575105,35.9925947819055,40.19652887713531,39.357113156674046,39.029717028111854,35.09778601774403,30.575816368588622,30.94126037938664,26.95171295161724,23.664966091471605,24.374647836874033,23.599077230594517,26.67794431824188,24.293497568853116,23.60528088384417,26.729740104341793,25.144543581358022,23.485503668081055,23.87826749691546,26.00466787105247,23.951214422902268,27.88345621390386,26.16763087923134,30.898839936083206,30.435165962980342,29.056433508567515,29.572045371442545,26.778793985061156,29.514177195527164,27.560398958539718,30.261572102131698,29.38231207322242,28.7368286384703,27.63180069940082,31.42704419620769,33.49128823579688,31.649948412638267,35.63270835702296,37.358835643909366,36.44065683462151,32.257135608337315,33.034025380321026,29.946713934257296,32.77329320010287,33.39148321741367,33.35091357149339,34.84338992001312,31.564190311090826,37.1802736477805,36.51400924238239,38.79042918810912,37.25531815125484,35.947249368996125,40.39072893382193,42.5586544308749,39.23751285066005,40.068309581640754,37.2692776291977,41.853623306985725,38.78732526379621,42.23198687597628,43.43503118142878,41.05766250834815,41.82085844903379,40.8336360051797,42.33089526844576,43.94795436048396,39.963158469552,42.23587785332558,40.950029620489396,39.17167591584894,42.95323582851281,40.96318349860758,37.120190741203,39.45531179170762,42.14481302257614,37.85172451148822,35.72151890755696,40.28383721579796,41.38614680027424,35.89179696821916,37.64924585524733,40.61659004554398,37.243101746878786,34.887211535979624,39.36407136311419,39.208327805981256,44.223964074184444,44.36793655775704,44.30395763499675,47.416084882912635,51.75822740955404,54.92801703452248,56.597999846337316,56.65425882501441,55.05409052326645,56.33172100646205,52.86004778678674,56.80868596468681,56.552531409233865,50.399911001452494,52.28593778343671,56.14432912847279,52.53370245576887,49.44338747679411,51.595370442598345,52.636934390802146,48.8015883422035,45.84212156953768,44.31743945498529,44.93976020359287,48.31897107697134,48.14000657121201,49.09232163614103,51.68218501597285,47.81018669386551,45.22303601729666,47.89984980655897,46.98722858621935,42.21382844666343,42.86503074263559,44.5051750262735,42.010043391065956,40.32901499773354,45.34366462478371,45.07722239139948,40.775252178775666,43.534832871532124,47.48592815727219,46.959549579435645,49.33059684051736,47.78174192889382,51.74803994369046,51.06648108909154,45.57402830325528,48.58438471883353,50.85828821741914,48.01531334201496,45.83409093261051,51.68719678718966,51.27532093006153,45.924913128740194,47.2928717955844,52.43079787356104,50.83886953263721,46.90862437185791,42.41843003673381,46.18545150354694,42.106790085721514,43.71933185752122,38.27785173184318,37.96899327229131,33.71632312166218,33.31832036173608,34.55806271224165,37.38615276202699,37.11383095356135,38.719810941682006,33.86099166855799,35.74341549441995,30.667896493656563,31.69014345733982,34.21445357791419,36.62353745537182,34.26778862266151,30.408148311652667,33.057140966332895,32.964794412279154,27.516667778985575,28.54532907286497,32.57464862638966,32.41965234603376,31.262715205979458,30.965869688910743,33.09398723039786],[25.87420981812777,25.63091254799162,26.27560575421957,21.402881183910967,23.460874899078057,20.156365678245685,18.65485074577107,20.556224992157382,16.182199369448686,14.489764132020928,14.451991848796728,18.41882819432952,18.293240564780504,13.679691270256065,17.35010124247973,20.349458787798913,19.17522286275907,21.7958468649626,23.182919528257525,27.090089250605338,29.392112368411762,33.90616149004424,33.81896875290668,33.40934186890598,31.950938820706405,27.370893164810333,26.815737214621507,23.166074905667884,23.687142275836905,24.284472500328306,24.11370836375353,26.317228799888262,28.576087066383426,31.295148426506685,30.314578232802965,28.265069446859826,29.44850087225577,29.599294481976084,30.3142366734915,36.825381477817466,33.2989561487005,32.039525335278285,36.39231103850929,37.018716818587926,37.74819215612505,38.004260910662126,41.999052414531626,41.243538823493715,38.73893413028552,43.547416394149074,45.79366333440399,46.65603534059765,47.39113427967617,41.29218429491405,44.60766224495192,46.91625426771148,43.147351654406684,40.562142213254944,44.3576023604435,45.58874240444461,40.30604355483868,40.5926869406381,38.347493484281436,39.30775726753164,37.553711281494074,34.425488297438804,29.930372016005197,27.032351212838297,23.185210061403968,20.45318843375394,18.908451116745987,19.8335325045538,22.573825064385357,26.56140985721383,26.981241547205492,33.02352881715534,33.48125836735429,36.315172309464636,36.485124614016655,38.62929447196645,37.958279620900214,38.87551328431211,37.84814339085412,39.39676997180076,36.42316051244766,33.7619328232818,33.65253247361563,34.35575006260948,32.10380923627953,34.34923474023219,30.74946629567211,32.16686044281292,28.824028449015035,27.66081424411872,23.470724422157428,22.661140181244594,18.861494799225134,23.932688737893123,23.25259289443337,27.010707794263276,28.161374476849634,30.332389483434046,31.10217113562939,31.889122350334056,35.73166141102051,32.67420456490979,36.68940554785994,36.94326685280907,33.94695863681082,32.5073803784263,28.202538013553614,26.173192091082857,21.666838380984213,21.166569664242644,17.79938661326824,17.872291303416905,18.76110176464898,19.55079515931341,20.615879872083166,18.743227707661813,15.541297812876254,13.921627358809115,14.184210313802332,14.77868947288153,15.62687793686282,20.392871668237706,23.240598356952695,25.742672911226432,29.41475373399177,32.64211561119809,34.11983890480081,38.306169771844964,37.90843912670993,37.42649464699115,33.76548800858554,29.183617177459897,29.478197463484452,25.928222279843496,23.0629659249813,24.008252740540364,24.190842091568864,27.595462820403153,25.080798645890635,23.785953535430316,26.862788140511785,24.808671992807675,22.85437012333365,22.56759197262726,24.177658940814172,21.550079279223528,25.09540521433015,23.02255790287878,27.673475292137876,26.859445516696177,25.88430696857813,26.715902290627763,24.234690239385838,26.96624133691775,25.599621295777297,28.207363596555098,27.95970838777977,27.871290678155507,27.12960517963068,31.064903107650053,33.22626455067,31.61689179094893,35.23375211962899,37.234444658892045,35.92151189775395,31.796304600563374,32.25963423376833,29.239380901335362,31.98807314199837,32.409897952960534,32.302179143090456,33.429744971233596,30.2448895371483,35.825670289668,35.558229288847905,37.58825993271932,36.368984579631544,34.4299515615123,39.16996566653273,41.588716051038645,38.44638579536146,39.743066384373506,37.22823203143596,42.04074022272851,39.24518080535209,42.37688728953774,43.44763488164387,40.768660971430386,41.25294731937623,39.949944737462346,41.163926674891066,42.53665349752501,38.345974821971744,40.28442308232545,38.72252159453641,36.71004202720437,40.24875480569645,38.026852912625074,34.28232654804735,36.62655648928508,39.04423705880764,34.603284099201375,32.73323338896833,37.12779455490742,37.90349450182825,32.425986090758755,34.278464180869335,37.06503565634106,33.5192653316654,31.33157999032669,35.88201756106803,35.95165231582746,40.75077762788157,41.39559023326629,41.19003394415586,44.1211563486693,48.601492499469494,51.58762265200225,53.4375166092134,53.41013672472027,51.948746592100264,53.28244592137503,49.88372304332749,54.004476218590504,53.72849516073496,47.656871810791436,49.664176141977286,53.660010124255365,50.08905955598791,47.07765250926563,49.46604838744408,50.554152163598964,46.61482734770068,43.92217107849263,41.972383408731524,42.58572109611457,45.82153854082997,45.30399625867962,46.209222308234914,48.552929505611694,44.77063555477036,42.24406457927402,44.60301489792908,43.612738697373494,38.929759051106885,39.48390539881968,40.88621606145853,38.30112477761259,36.68343458792009,41.65920559186872,41.229622679719995,36.880334255047316,39.768744986526926,43.7113539826862,43.34965209578673,45.79793685237301,44.402960460808735,48.46250399251732,47.682508933000214,42.298637006758746,45.503584876101534,47.78483714744173,44.93185553696603,42.99394988160188,48.91497115265627,48.48963380072897,43.23895592758536,44.823389972789826,49.94805365858923,48.36264539920883,44.50705161487851,39.9638233005442,43.93791408340747,39.86488555768264,41.07550162630771,35.635631522909904,35.09759873006246,30.658048590229004,30.65975901134283,32.07083591215975,35.1514059305565,34.928383962544096,36.215618839918235,31.3588828651718,33.32230508308049,28.218056220290705,28.670699636255822,31.119221705532855,33.28372645652653,30.922599015839786,27.098031846433514,29.499572710692615,29.209945572874798,23.915180164997825,24.83304593861564,28.684752206081324,28.406952550025668,27.26118541211663,27.032014511313786,29.17313994059378],[24.746119260389552,24.41840865961698,25.28596402893654,20.08823851808789,22.85103323586324,20.312546606876243,19.481742868069023,22.16214019270062,18.25088772602543,17.03612804338765,17.758753027052816,21.729338084720684,21.347651348711683,16.960738484294556,21.138605980468174,23.90984989304169,22.241561850044555,25.054619381342455,26.0018421675227,29.922576685067916,32.10426627573679,36.48973656938313,36.24997264270679,35.42233900527215,34.02472169647841,29.530693141371056,28.988429720188687,25.517528849980973,26.600492548741,27.42571890206268,27.921241816554147,29.89320416911131,32.46316797917327,35.20893908393179,33.92387967027349,31.64372332304345,32.6096191493922,32.33892821031654,32.64343895331528,39.103753779160336,35.20589610025078,34.38573627592528,38.78623493263616,38.98039257351217,39.403002530231625,39.24781323607331,43.29521488182227,42.957743156595114,40.201636165466965,44.74087030223373,47.40469526035648,48.328337753970736,49.37103936700365,43.29538864043223,46.871458842785614,49.293985577556995,45.42219501152917,43.09511264827438,47.11253952849746,48.11851632100648,43.002342599495826,43.68378654295552,41.69770857678021,42.47467467632627,40.4583178593223,37.47643850663393,33.0526823708516,30.414654421579954,26.43849976528985,24.12632750513004,22.364176798731428,23.37681197634514,26.37273094718996,30.090019325338357,30.739408882785803,36.8490657322318,37.04143524554491,40.09224289456472,40.01611283275418,41.87189685507822,41.1375369993435,41.671198498120994,40.65431797250605,41.807252246057786,38.62052448342869,36.38433831406278,36.51275065288283,37.55977299304671,35.42984967014036,38.092333321029315,34.576515318275185,36.19700399726152,32.93934476414122,31.811643326369317,27.527624460695673,26.923151162022876,23.01502610035261,27.837786637991854,26.87016425235389,30.40069345443719,31.543667471541553,33.160155698202054,33.983421505867646,34.1891566160724,37.67502272510648,34.228264338046195,38.025458314657854,37.818498599789805,34.539418075463026,33.605503047494324,29.02706626645235,27.39509265113577,23.058253820765618,22.394033782138536,19.75585010282094,19.298181325740288,20.748820305685502,20.851956692090024,22.706414110059345,21.481229702823715,18.020024924316655,16.39449508527473,15.37730613515858,15.869333358535528,16.578062636811378,20.842816552663752,23.497634603079106,26.250457994379758,29.8316973756796,33.49730867875348,34.26116725233027,38.66901204589126,38.300309312008245,38.369720237993896,34.27613867157977,29.756345117187813,29.223460528604274,25.94671181791307,22.99928730620091,24.617753687390287,24.456365152847173,28.32493191489276,26.41551049190427,25.121403305393347,28.530826449413794,26.984817129863977,24.728373649857236,24.77735446138632,26.188457762009584,23.640105442359445,27.00649560261742,25.315849067461645,30.032546748095307,29.29227042719706,28.856553577063405,29.635535389517784,27.137562779045837,29.442430763541616,28.350286416653418,30.244159136559364,29.62419820727637,30.05271160152774,28.553453015418317,32.801494216077074,34.28848118286633,32.025442521993135,35.59028804375895,37.16708863147265,35.59229284071343,31.55455169092019,32.3401005585653,29.720142282100237,33.05809769839064,33.92301313543153,34.2802354165841,35.6644786815087,32.8825528155513,38.50909046381215,37.913871643750184,39.74990958697945,38.0399969968847,35.98695574449761,40.43642163805925,42.692766708613405,39.521283627744324,41.17819596282832,38.936176482770364,43.4966732444645,40.26673513847879,43.31158847623783,44.05726341866035,41.52569661054059,41.61992839045663,40.18417292620103,41.314945035779985,42.420412129413606,38.08731093080965,40.07345692791639,38.234962051361435,36.665134684291594,39.978991572038105,38.12336636438693,34.25045623701458,36.00920819796927,38.62707188518325,34.316419190954136,31.744351962521232,36.17638850520264,37.4409042127244,31.63408227192966,33.064999720301884,36.00825043542283,32.73735392315083,30.005992749092144,34.28390164176946,34.227385151611585,39.28403787509162,39.477446704986576,39.718564833458245,42.79450426776523,47.30734810558708,50.33719722598158,52.30043561882816,52.66091499284523,51.34782084057899,52.952449725584465,49.798067942602785,53.829171096786055,53.16744979027769,47.12620941053288,49.43198372856306,53.12309962514307,49.29579305770358,46.503285979612514,49.011420447424804,49.596788668122926,45.54285293265164,43.28514233730455,41.312795330663306,42.60292185980281,45.856137301401404,45.341505043220586,46.66908500438014,49.10390442273056,45.6121980459238,42.69657755756622,44.942924273097944,44.36937784910972,39.62458444552144,39.67875260292877,41.26803357167646,38.79319569861068,36.7233407887434,41.597709687538625,41.33093632158038,36.82458130298833,39.29749987996125,43.283819146122845,42.74725788471904,45.42735623433141,44.226479996271586,48.14168412549789,47.00204398755275,41.57320914724928,44.941549446226645,46.86151678821622,43.82203150647482,42.024616283832174,47.890885518663865,47.0319618504306,41.743935443229866,43.564868543965865,48.49796629067461,46.55809648002446,42.65709001402729,38.026503018775685,41.65291558660825,37.37768788405644,38.76953029128902,33.363102920138004,33.34935434670838,29.052831474617147,28.45738977623365,30.08082333320957,33.01677511963412,33.17971231941769,34.916140258897656,30.47168064459559,32.924596773572674,28.029929332972117,28.454589168240833,31.580483567719526,33.73025625840649,31.9364410496501,27.627354033306336,29.595162986888276,29.81562373358318,24.675711671198915,24.68437177920509,28.66975268364081,28.94860569639767,28.064464826595668,28.18747674926809,30.417552227350416],[22.464450905125595,22.745003106045743,24.302239798849595,19.66827734023801,22.93485119497549,19.10962981193882,18.700824285701174,20.751390803259547,16.566187649352297,16.358862090462004,16.594343966849,20.016489517313826,20.93021277033074,16.879633805855356,20.79389799013265,23.70618410049984,22.96743995447353,26.09623362408783,27.928232642660884,31.602167819382384,34.16863444724959,38.59790980470366,38.69332488444905,38.252275840442515,36.595481582718406,32.022633447332,31.12240376582757,27.29873187503459,27.666119208807377,27.735170868149176,27.950298831184128,29.431459629126522,31.6586996154384,34.860158817874954,33.90992025547082,32.20298602455885,32.859325478735606,33.51724964209298,34.15928161475813,40.62867105962126,37.27168747652788,36.39746119890517,40.782456588280894,41.329625093828966,42.168913385546496,42.18973981043453,46.288576337865486,45.55388168284453,42.704135418201076,47.45208746944893,49.85346409176922,50.601013346273284,51.469123394453874,45.23428015329605,48.465300143820656,51.08625110611975,47.471523273052924,44.733704549449996,48.59417850227501,50.072969953202595,44.88421040203459,45.19581168633931,42.86790248746274,44.107741785267265,42.33251862186925,39.02230920324711,34.767713961345805,31.65928672109725,28.069124464079795,25.102426194245673,23.818533032325284,24.756026614056577,27.283193249415007,31.435054058560326,31.508709794532955,37.53703997909659,37.95884589136379,40.54911357260753,40.66916088568762,42.830352153169585,41.77580071134486,42.65180514169756,41.11395815285272,42.6067036729121,39.79059271301754,37.233580010112995,37.592359899641906,37.97264775774946,36.238020060440306,38.240650947822274,34.85430668586754,36.3261969017722,32.76052353772936,31.18271788637875,26.877445930780095,25.831952439546956,21.92844327252822,26.587372217918105,25.35777295365205,28.276254872360436,30.3535571189428,31.78974994864234,33.350766626663685,33.47078182095259,37.55330710074698,34.05082102155538,37.70053553648185,37.857803593154145,34.41883983567863,33.1253247180174,28.568765099134815,27.430506790100218,22.841720504461335,23.09783625772135,20.539035267038326,20.975291476812522,22.601422994425576,23.54912511410705,25.31442789923553,23.242811997349328,20.05880766498749,17.913308753230325,17.682834596040788,17.425001547356768,17.198326122265943,21.911637131312858,23.488943405460468,26.765928326134166,30.225271116287676,33.952011197213686,35.062689391704865,39.32052103759217,39.436159040214044,39.105840186184366,35.530656733323355,30.986725935584456,30.682144846081655,27.819449749696467,25.34423438247477,26.865062007778473,27.55601360029061,31.385699005057123,29.108647853210083,27.431362623371843,30.579456761745497,28.403381541821727,26.13122579082332,25.372735105883493,26.329141953680264,23.12605577789516,25.962920966067436,23.511576994200805,27.895978120605594,26.341089733692503,26.25668755725357,27.668834611096905,25.744609448983482,28.313950819664655,27.799943382984406,30.017099145363613,30.313716233890204,30.9708347654585,30.239739462716578,34.378843807257255,36.28340224487442,34.526414843545496,37.77504523001694,39.73497097816823,37.923788562884226,33.950343013508665,34.329726306423616,31.64930282610432,34.61219951181961,35.06216749711893,35.09078150882901,35.936213137536264,33.019862920321785,38.49784453412237,38.53161931938611,40.23435908698729,39.1371566441559,36.5409853033096,41.399284960881936,43.963570537545436,41.00131713076772,42.87599944080355,40.731292485551066,45.5800432662048,42.79670969194093,45.63220180911125,46.41857582065553,43.58458794313616,43.60177165822533,41.935215046112965,42.80820543272639,43.74389844198138,39.270491628556236,40.836305272415,38.75021375296259,36.76385504411931,39.773134272026844,37.48616737852458,33.839547824700105,35.73506790182675,37.859486050956505,33.3074915823045,31.31391889119542,35.41489842751914,36.008157474087966,30.309664361442938,31.9267747319609,34.473639195050474,30.824474786321865,28.456525145819906,32.83079553600359,33.258238840516995,37.864693818037956,39.006664490613844,39.02617731588034,41.75241547901178,46.503616591065956,49.17312957459355,51.463038111837896,51.635544103088506,50.536502892847984,52.1644562092175,49.07191494935423,53.366365840903875,52.77741452687822,46.878924510378404,49.267768181775274,53.20887783205016,49.51467170275458,46.79537976390568,49.55979790791409,50.32117944813626,46.181367508798445,44.178905513761435,41.689132090930606,42.76947465511018,45.80310989304848,44.81556439777708,45.91897703685261,47.92620722141706,44.47735643967425,41.83414640616886,43.5937407953247,42.72897110908954,38.20433846857954,38.26638802776885,39.33732790505636,36.65532492862244,34.867081412527526,39.65512054834899,38.983602590006036,34.41232495256821,37.247118479747606,41.19475273838576,41.04556342992174,43.838522057107966,42.89074722807236,46.9835838109215,45.73836562542381,40.54087058368961,44.19469244070402,46.17465917520775,43.15262997025533,41.745358570268955,47.68905990825624,46.85571643514065,41.7551377440601,43.86214526678786,48.76830230529891,46.866008554740894,43.09846134422794,38.4220181648372,42.30775795991267,38.050483091358544,38.81801813461257,33.46220176741882,33.11876233409169,28.536288977920893,28.59134974314601,30.500447162955133,33.77538621419623,34.004170175906296,35.237566697942974,30.789597956510196,33.21895557667966,28.30271591375029,27.88395790676478,30.649229807994274,32.36363239314412,30.363625426130692,26.37438697182937,27.967995864459212,27.619783133541322,22.84415505933406,22.833351069275512,26.302772404151252,26.097678689666836,25.155550989269614,25.21094739263705,27.322746272784755],[19.996563866030925,19.99692515002957,21.712285000750242,16.764583127810937,20.888542882561154,18.294481509732726,18.793341418300006,21.84978695111058,18.559911837547656,18.826357373482175,20.10993436361335,23.537772027161644,23.873647768181737,20.215166803999637,24.79875353544533,27.325092357430144,25.922103631775194,29.38824930390808,30.833710010368105,34.37971837186464,36.933988309551445,41.130163733879506,41.182363317276334,40.265414846291094,38.52394935615503,34.088237306056456,33.02735197501576,29.387735900042617,30.400209101991372,30.695911087545856,31.971785349864422,33.01991474758186,35.76690189008562,39.02364883746409,37.55250551871836,35.54776702110849,35.798483228086646,35.957103224780596,36.052117863603286,42.38966617434997,38.672506863368625,38.476699227805966,42.905592760016695,42.90521042617264,43.47098916897946,42.93942630045156,47.116388020606216,46.82716272629734,43.55812478487607,47.95458400179206,50.8596940600834,51.62206437028076,52.90010938988042,46.67358404592337,50.18052241385263,53.046118319352026,49.38574952407429,46.92208620653915,51.08477531849263,52.37600181059659,47.470024656692765,48.3401488037743,46.357422721083,47.505581501039885,45.331000488353205,42.10992670262698,38.12505469766826,35.255472871114904,31.654450647010673,29.167660568669426,27.74099316308145,29.050501867363394,31.720681442739846,35.525046895173,35.6849562284423,41.87575894149586,41.762768659621216,44.62409191664798,44.298565806575496,46.01267205243219,44.75861986835305,45.07427526685426,43.46307765997397,44.39051374023527,41.3460877237653,39.38955965406984,40.17195492048559,40.97091986728941,39.53964233799271,42.14731335341711,38.96763595402035,40.87936906356342,37.40551345761196,35.82108584233095,31.321631508926046,30.73167579909715,26.61289470438588,30.8045819508935,29.166903949197085,31.82049851653439,33.67246782946881,34.27937882875189,35.8329848915989,35.11365367642474,38.62586875976142,34.629573465828415,37.923836828480404,37.45380498271491,33.68362326342583,33.09909033123158,28.269510060980792,27.698600949775013,23.478110371995125,23.550085317971025,22.05218700340557,21.921825993694494,24.28518233152576,24.57235919232161,27.42150199233725,25.966005803029425,22.55220356111608,20.293267469379074,18.660574067424545,18.0995153416222,17.578352401385036,21.43274528548939,22.585485821948545,26.120676214730285,29.359046212853574,33.60443961884512,33.77002592177435,38.24381771489048,38.45520950654186,38.82530774202762,34.78711178367198,30.4096373699175,29.053019804318875,26.71814398898403,24.352296479978442,26.681380788730095,27.225398594759653,31.585542582704907,30.040212920975772,28.24161961534548,31.708440489005895,30.11923318415878,27.464186832462712,27.06633065974303,27.699700257177287,24.698451161987794,27.24587237771946,25.508773620094047,29.932836388714815,28.77991184974123,29.359088756773527,30.47776240911765,28.462262060799233,30.332334243789404,30.17347010328474,31.337018577426434,31.162125771500644,32.55956016039539,30.927911826376718,35.41293850276739,36.44699929192655,33.97557859126114,36.9971657697113,38.47710460438513,36.26894279765749,32.50272340752225,33.18612654527766,31.08115463597618,34.70233371759261,35.68114489148867,36.31564071678779,37.46188172495512,35.15686376769882,40.6359462057676,40.24026946430837,41.62698295772741,39.9191204715824,37.12357635205395,41.56440259118477,43.924666809610464,40.99435973672536,43.408787192775705,41.708878800116416,46.23495175942285,43.004023531153365,45.606806742300435,45.938550160049374,43.24769612413931,42.704906479535474,40.82321766941389,41.52147479106474,42.06285973517052,37.434769137259124,38.99140641765475,36.54939955337595,35.147545157978755,37.819557532456756,36.05291262941314,32.28350347246574,33.3838462514233,35.760504907953944,31.460336711659405,28.553589785823803,32.66527560802494,33.950077120503096,27.895762557204925,28.933248914497053,31.711771422563793,28.529771551533035,25.44177969661988,29.4244430489109,29.611351141121823,34.5667137742216,35.04074942281566,35.600217937697685,38.52315731000458,43.2542830599755,46.016965452323056,48.379441503550325,49.037735541087976,48.101927969192054,50.05536564986509,47.29023722058274,51.42503635756094,50.34912711953938,44.52240778990106,47.27323933880653,50.80066908679241,46.80871570458577,44.387873630148206,47.295571320205056,47.429329404438725,43.17176203727721,41.7585605993189,39.224959715508966,41.1629115428854,44.1836493660533,43.21687534393242,44.87703583859109,47.02470386083096,43.989017026368,40.831919503994165,42.47460315074902,42.21175730425162,37.626212870998636,37.02488118602261,38.417815874151195,35.96206310485182,33.54696581121427,38.16262207406537,37.808898742161134,33.11696081282285,35.293032710008106,39.265968756664094,38.81115631784588,41.844935982857024,41.10806795621878,44.96077556622217,43.292560991937954,38.04872918731241,41.846651231305394,43.35930057611135,40.12928573852858,38.882581689545994,44.71194933313673,43.36087412036855,38.242921644384914,40.6234750334598,45.265350771543446,42.95734894038674,39.16029238367348,34.412205892660296,37.88474310606525,33.42673709394014,34.38621412152225,29.096512958148537,29.380692291490277,25.04033506806883,24.35199279140985,26.50637564439053,29.594451932666857,30.294501690334204,32.03400418722321,28.18149918834104,31.204371700398234,26.66743749282529,26.207423112116903,29.83345529155937,31.538275144286104,30.37614639139052,25.78835976594366,26.806481038557582,27.265556853967755,22.77501334990784,21.53047356504421,25.202035144405677,25.897616939478223,25.367118016591473,25.943536775995963,28.172628284766752],[14.726659165224392,15.30661930456936,18.003708560835257,13.94180101436043,19.05553373098114,15.794175072365027,17.504671033549947,20.353803345081086,17.752989757099204,19.466165724439275,20.968612340051468,23.602845843210773,24.811083185318342,22.02335098273409,26.629818456227586,28.881110067247217,28.021656365050063,32.00610953229202,34.171291453153486,37.25548399025295,40.25835068128259,44.28065047646267,44.75304014262296,43.99615513436519,41.84210481873092,37.45101985210131,35.8319574964247,31.965473592038197,32.58547892202672,32.181290959362784,33.98921095983844,34.08679477073409,36.84185850646405,40.592044182446166,39.067493526088164,37.51559349588904,37.07195572587863,37.93490437791303,38.032238983741884,44.1873259134716,40.94722841150943,41.176255041077496,45.56902743396018,45.62253426468571,46.55053058608703,45.87968134880332,50.14758206863187,49.62338875332752,45.96210600037618,50.362271352568726,53.23181822997816,53.76478927652984,55.09279576134148,48.722342621778246,51.950226362523246,55.230052948356324,51.90455059003137,49.14189630717572,53.2977212532626,55.046222656740014,50.310616481905065,51.162499630192066,49.058044641289406,50.72678881692225,48.52894222708594,44.97885696311863,41.49376730814763,38.268703828729,35.19351823668815,32.38463462651395,31.435000468125498,33.04144299899433,35.196840661268055,39.14820954694292,38.646057147119365,44.82492134735865,44.47383790219349,46.984907527618304,46.49261785664137,48.17640415371911,46.37812834133174,46.66076426459811,44.38416268341902,45.280504617819226,42.569126430196796,40.69524971135788,42.06806023595258,42.38710453999346,41.70020435346902,44.00885980911721,41.22148063365966,43.3631744123954,39.668597875306276,37.59298930455261,32.9907571941127,32.394575710136365,28.21032936764098,31.63734889499151,29.417318451318952,31.10477809847619,33.69377512725552,33.40088520161962,35.73374320975803,34.287016394822935,37.9943655095774,33.673042810128855,36.464206314231,36.0220175648861,31.923716677498366,31.394010990846763,26.553215184345103,27.004765416146018,22.94396895005264,23.98052728466499,23.36636023184581,23.887103356296947,26.81560649686047,27.667141886044437,31.055829137806622,29.060785965852464,25.88852808479289,23.07549522799252,21.517110375999984,20.00109813707119,18.2901434930653,21.83110645674882,21.282351440676166,25.472018723466704,28.286123046080128,32.81602687195754,32.81700064428569,37.129051537827166,38.0106049480145,38.310096766061235,34.7216824639989,30.5398265916195,28.897044610731818,27.487017723364364,25.88498523101712,28.450040238983775,29.971989539360933,34.483245562174396,32.944121722285374,30.63553487112019,33.90218586122034,31.986643986538756,29.132041696775932,28.057740999826475,27.90886913347639,24.436824345926667,26.032799267353923,24.080795303197682,27.989510868898652,26.369404872333636,27.857240564417076,29.337323988719216,27.942888276123316,29.47308074661222,30.24870758088876,30.95049097456532,31.53310048428996,33.679241426433734,32.40679851441218,36.88019498351459,37.848552414089546,35.64679592590518,38.05830898994722,39.742881457029846,37.04569296804926,33.57003073228017,33.86968067858129,32.0802231117969,35.537779754501834,36.32400282564419,36.9595450670674,37.65056087235873,35.69305264922787,40.88370043664167,40.92131973779732,41.89377342193382,40.53508856604955,36.99398098348156,41.57074746939532,44.14528834284455,41.54796172070022,44.55313436959581,43.30317435410744,47.9230221771304,45.02684039660823,47.16645926168687,47.264930414657684,44.3010085937843,43.326782628372804,41.04880009377992,41.297714390611056,41.382749304309506,36.5701140228705,37.546919017263924,34.63153254071922,33.069405032738786,35.10554770869205,33.1515417909584,29.66479523484485,30.433679964338168,32.29923664274816,27.928510069076573,25.275742074087443,28.892251464572766,29.739418842682582,23.694101017158275,24.62154913354043,27.019551268971654,23.689247939348583,20.66640792616715,24.55250514849563,25.197799464396244,29.744016851234605,31.04859744051586,31.545552527173083,34.12142851829488,39.08355573436221,41.47863175297662,44.213774631133035,44.88120945131429,44.27743038686701,46.41610760931458,43.92795272119451,48.24912323679015,47.00362902464358,41.440466066134675,44.46402479930073,48.03733003998221,44.09363400489032,41.94821745050038,45.22117774393382,45.252316989694954,40.88016646921779,40.11641204266435,36.93441782163447,39.06452448702849,41.76234438630048,40.243549508020976,41.95700531931516,43.669843156731964,40.98549296755298,37.8550882684636,38.83401569156641,38.63263053623301,34.32070904617363,33.30060833638276,34.29392593994173,31.78984692206255,29.307534767996827,33.66923007577564,33.08243937961848,28.28960528884249,30.43759916538631,34.35990970670283,34.15352150109955,37.42011949704111,37.09395682782042,40.980174569983134,38.97852194479852,34.01893503012562,38.19434411098461,39.522318990619134,36.240832780365466,35.5610259142282,41.36434787497633,39.8233531163535,34.98417000218839,37.818711671467675,42.254825297960494,39.85589848534675,36.26198323733683,31.49934497825079,35.11954053065408,30.707336769548856,30.895155735612008,25.77341783796231,25.85420924449777,21.34432800025268,21.23881901761732,23.815489051272724,27.209105708044696,28.17021127262602,29.426394758697814,25.99076866353552,29.23464619596266,25.052682781246567,23.487700278756673,27.119717541775703,28.24589903808578,27.470709276754913,22.973205374085854,23.083766610465982,23.4440399891243,19.77783659273898,17.596554878425867,20.68910694098888,21.514533972262207,21.290398321860593,22.240323960251906,24.400875787087763],[16.055629000934413,17.570557104427984,20.85857939517955,17.59714332073042,22.47155141470025,17.882041456764473,19.445721195616578,21.270933225008353,18.154884565298254,20.27626075094762,20.914321621801335,23.053743319267713,25.376337944694598,22.605402898279635,26.585146103648604,29.09499322623883,29.050306298133346,32.89588770950348,35.53545037202496,38.64880988918256,41.739824892151546,45.933466196229475,46.49107405633662,46.11529868781352,43.988792989352554,39.48689757970653,37.904124960803244,33.836968521417035,33.83741837634827,32.99180643072554,33.98162621797729,34.100797532087576,36.29296529243434,40.22308801557492,39.23329262197877,38.15244650829329,37.82268035731483,39.384383108057044,39.93407053390866,46.15927829372744,43.31303169349557,43.108986993112154,47.46749470984721,47.95830439164349,49.144081356101545,48.84229906501227,53.07990801978915,52.207360888240004,48.77266753916719,53.432121565498164,55.94376105373738,56.41618138674298,57.44836860272635,51.02130028623836,53.960949269401425,57.16227487770792,53.94749199926109,50.88242183396223,54.78667132175571,56.81032487814588,51.86749336967536,52.22066793162441,49.76604622766594,51.62713300445776,49.79234842298803,46.10310879157676,42.4670155256305,38.96589759431416,35.99578216812914,32.69710378882197,31.95672257642467,33.1862384770498,35.148126421803866,39.45554779759968,38.759648667415085,44.73234545405318,44.88499191022017,47.007891253416744,46.92140275712839,49.027114985990885,47.230148781157915,48.0110594027729,45.54280511157902,46.926824239105336,44.52171128094731,42.16906337231467,43.378130230933,43.14455242305425,42.44051601393699,44.03699717294295,41.18291900908362,42.90396238707887,39.04143451329275,36.773900808404505,32.3727492905417,31.21644157599422,27.29304101638455,30.823124357549872,28.70193030537505,29.994084716610143,33.40269362441078,33.41881887246721,36.252161730942625,35.20020432559519,39.550875134087306,35.47812500933215,38.31229401040253,38.40446444556493,34.393908366473106,33.30706412822762,28.678032263411914,29.169204533772355,24.844569023291218,26.424527443909952,25.283163642036403,26.39912157171782,28.950776429892244,30.348494024002196,33.05853224545703,30.527408064154766,27.556696991335038,24.71970083875055,24.11844158646587,22.624564308769457,20.795473777872818,24.918845671597097,24.076175560598614,28.36094987991164,31.178068846475004,35.45141067420206,36.0776788095781,40.174982781013256,41.26453206270837,41.02727224751662,37.93766591789602,33.68645075499561,32.648915588056674,31.14070928268573,29.60439081375712,31.7357064487428,33.49492902997127,37.73807234858964,35.71235375178067,33.39334299712041,36.41934669126321,33.973609610463775,31.340392958765978,29.757618831734693,29.563058863549845,25.666436005771015,27.011446750116583,24.155373885790794,27.648465866135744,25.017139257589864,26.576517245963416,28.769560451413337,27.921676730380167,29.971217610627072,30.946777937302333,32.38503460463347,33.70305236726857,35.5401848949573,35.063254268757916,39.301102184496905,40.88804558043714,39.20866541157371,41.64553589569314,43.68151441169117,41.098651617108665,37.54591532824373,37.57330878020791,35.48106298697988,38.46039758075477,38.795345972225185,38.95487007686066,39.20571331515257,36.858047198902355,41.92505134491299,42.5389135567568,43.60941199109624,42.88520056474506,39.196274339182615,44.17004055786323,46.98610787007299,44.47472414616263,47.28190551000729,45.82557320412136,50.722791011882535,48.20636774664583,50.41318754967781,50.75957059499903,47.620294552045564,46.894398856767204,44.63029532844683,44.84545747773861,45.021274038464,40.234271882732486,40.97950667608953,38.086170837705055,36.04431411920625,37.96777446130301,35.511394636150925,32.303886968028216,33.457269194162826,34.79865503866102,30.20890990707533,28.421042305256027,31.65883957453882,31.632375776929827,25.940699225550244,27.181002734529773,29.021028496137497,25.213351853092608,22.879468828450015,26.802740303724995,28.034331194787825,31.90015279859933,34.29122240738641,34.4800794099597,36.616762046622895,41.750793137780974,43.72694636887789,46.752931295804785,47.12228162623149,46.684800209518926,48.729970653275174,46.21267677307768,50.77020755818918,49.75074631475072,44.334744887311096,47.26997811573914,51.14195150880788,47.42560236005671,45.25339623440734,48.61884002221106,48.978297778874676,44.62704581815377,43.82710187775901,40.369394469499454,42.013188924092375,44.53830131908311,42.6673737827104,43.97386421890252,45.251674350530166,42.472157312557684,39.80572272042057,40.3831104443446,39.688902110158054,35.65912573846137,34.90050782210101,35.2384788820817,32.462852445047695,30.53273562704243,34.78094928008313,33.62964783789302,28.845988162963632,31.579637630453963,35.393921158518204,35.72196234544145,39.013458924287306,38.893716419727355,42.97966363783053,41.009781347718985,36.363268602955266,40.70490015675586,42.19929464072529,39.03022176997371,38.65868655077782,44.48148390429025,43.106067112880936,38.49602951746332,41.43641453603486,45.866885860654364,43.61378282028792,40.17693424861368,35.47641268199917,39.28839924184535,34.990438575798734,34.66577862052519,29.7127898809395,29.410876564856817,24.742280619898647,25.337776543681922,27.987229586819776,31.55915379318576,32.42294007976564,33.18285310648275,29.608841836167457,32.55093861731102,28.267608306523957,26.17868359768654,29.097288687097794,29.821341578988253,28.53711527613525,24.673202206190744,24.63654127660936,24.080634755915764,20.811753286902395,19.1344093225825,21.401814499535135,21.285034254669508,20.851278225307848,21.505509588937084,23.395904495147676],[10.233712014909585,12.119539546029864,16.051099242378037,13.880304902458901,19.20677331826921,14.770617296972139,17.471622284098103,19.396395966293788,17.53824499001455,20.646162670034638,21.96479977196641,23.50226484588446,25.84518940316009,24.024045957213293,28.237559596519887,30.214677984198552,30.166915510177,34.46923262163353,37.4314753722002,40.03154686132816,43.45257366961665,47.321734062841,48.235241883638594,47.80007202101131,45.27788675316521,40.94067028670117,38.83682018970695,34.75640259295662,34.75493193163209,33.53877869404155,35.54300122656296,34.716326516866566,37.23752822290287,41.449155911521046,40.06646545459648,39.14489009659736,38.07870149313745,39.86439120863761,40.147623664843266,46.05671983037295,43.4964872937164,43.9356578277275,48.220671420912495,48.516940158286076,49.90362054605379,49.28851569746539,53.58617451345495,52.6662585176462,48.78072420438329,53.2667839527817,55.89099781155862,56.169074048048316,57.39151980521044,50.91794421171838,53.71302809914534,57.32805846889828,54.40788224957383,51.25424674386697,55.2571453268612,57.553385415548654,52.944830102393695,53.580235162164314,51.253919739205955,53.49220484309258,51.42196765929351,47.53529664350961,44.53316775523321,40.916904707320626,38.43874936626255,35.228384433286536,34.81715834194077,36.58548451629819,38.13939397323419,42.267015527952715,41.05968360008672,47.07282239463956,46.63835347720282,48.645638087205896,48.12247557484913,49.900759529489804,47.592459018543465,48.030725914488336,45.06647928677105,46.1230122230368,43.90687360365814,41.939333088689885,43.79056147007119,43.43021855533863,43.474902674848124,45.21666320060742,42.84464742156319,45.06262072824552,41.167375129245066,38.59431041948181,34.06079187113041,33.34096490504023,29.301043153946082,31.86713896057475,29.170734222386365,29.695398225202386,33.19982719406209,32.116493335914974,35.34722690273777,33.377873535398216,37.467952247016825,33.055276206404926,35.316330905518726,35.19064506508493,30.937345567457896,30.17362335776058,25.602623725716054,27.042354751918836,23.209996686395876,25.351795043606607,25.33451419152443,26.66672297018897,29.81760697043207,31.384115969216396,34.89163768309876,32.243227676358586,29.45076449624189,26.24398099089127,25.201495274686696,22.977088394420058,20.316035804365704,23.623721119691922,21.380874807064785,26.004778620669644,28.30701383499677,32.80807545114149,33.02321286538241,36.94936574700644,38.54861414954344,38.46793842618471,35.65979062071432,31.73678494945013,30.260981681998228,29.66446722211362,28.835305960820925,31.2706324483705,33.75261571444598,38.16064292795984,36.40958156136284,33.684822428927035,36.57599313349439,34.16918462000408,31.311597688615095,29.431308645858245,28.5322995700073,24.588596424739904,25.056961752359495,22.62329521396184,25.65753921655291,23.27094379509057,25.699938742131348,27.716878843680842,27.19791973001148,28.515497760341088,30.26608512330038,30.794227451158505,32.416033548005146,35.064310807712815,34.526537688534674,38.77048977504895,39.968026706519055,38.35093730224383,40.1700408256446,42.229898515635995,39.21894317354981,36.03225297660681,35.8043539332288,34.16600615948184,37.12191768920966,37.48014907747975,37.87556942095046,37.919971479200356,36.17926903409517,40.927123164654,41.6233387482315,42.224798817225526,41.51891792207098,37.27504519208682,42.08874931860334,44.94824628621449,42.750747170471904,46.15640175107118,45.24578606088504,50.02845798504239,47.68618311953476,49.39935520993562,49.42083209763068,46.14187609364235,44.93083674213016,42.33797182955588,42.154022161266624,41.88740734819451,37.02523133018716,37.30906167205531,34.058852374947236,32.06593113401467,33.41541655056622,31.008397467226885,28.04524778330467,28.76095903055527,29.770717537606064,25.28787453629876,23.577856301798864,26.382708013468292,26.205900041157612,20.55785931998475,21.639537908636786,23.256595330836333,19.489343712703743,17.163858672351992,21.000852077500745,22.44896357765665,26.052556590370692,28.86390711102212,28.955809369536052,30.889308162145745,36.08870440401897,37.91017558386788,41.06830424110154,41.487467315520036,41.242080383996424,43.435226634462936,41.172166974306194,45.76089258562264,44.55134048694863,39.361968248532094,42.508901707280614,46.292967894641734,42.60472088970661,40.68797964944577,44.28737577916799,44.488516193142225,40.10493837909388,39.85654037555149,35.979591157603366,37.898303294873415,40.15579263303108,37.952838375449126,39.44320693487592,40.5028053575185,38.11465477852043,35.31129602981454,35.447723211629594,35.03522287857755,31.190141857193126,29.945083377794905,30.190727309886917,27.528373794276934,25.327925576517845,29.347949905812403,28.248010159864148,23.414156152003244,25.88161360173964,29.673789092830994,30.002408319894304,33.4271617252865,33.56115463863347,37.56792611826197,35.36189253657042,30.892356915962566,35.42564839201203,36.731677161057526,33.547996628023,33.53944243625697,39.26104890449315,37.76931410261486,33.394225933168045,36.593299648081896,40.8229784467622,38.56217277068619,35.311861283133005,30.70441628347224,34.612133921052504,30.499601177458054,29.630363156141833,24.89460533047192,24.34866118380047,19.71365799424905,20.823126924573927,23.618338957950765,27.306323138767343,28.291255980958294,28.658283476542664,25.571509472267817,28.668949252371913,24.906199448664864,22.036745455906427,25.09281991269695,25.38852977086576,24.758317081027908,20.863072375843288,19.95042183859964,19.69201419689555,17.302964934456288,14.503774862272222,16.32927043300819,16.792794542116184,16.858757403995458,18.106011513586555,20.04324717660155],[13.85579490411455,16.181909553327174,20.456035771625697,18.309356151220495,23.808050814376042,19.46932445567562,22.003865429996996,23.769340789817555,21.49478486335673,24.367044826569998,25.255269593118378,26.867618991001585,29.51095671613025,27.280293775385207,31.281142312028223,33.55795989102789,33.646347754923056,37.725085576691384,40.547640923533066,43.438268881082166,46.69017031891108,50.74715228359501,51.45872265243459,51.02890166453366,48.733142938937746,44.301441920124944,42.46985832751403,38.38820912598249,38.36284921363545,37.24074605611029,38.64766414961853,38.210077092326195,40.430173098702944,44.596388040792625,43.525467985696785,42.64454484849313,41.885066905076876,43.69171596894623,44.11062446670863,50.156437693137676,47.474768673935976,47.6380779283031,51.966259587335095,52.34008428704887,53.60217878208515,53.080418190124234,57.36086652973554,56.52065637839833,52.803221807156085,57.32811109419221,59.96168432762017,60.322809016130215,61.49070520931146,55.02761671392879,57.87577200514172,61.339374964691295,58.29519997808542,55.16451739400385,59.114854607299655,61.31411008499131,56.53521397443751,56.99299397496969,54.554361246527534,56.62486029438903,54.71176465854774,50.91212388920888,47.54802096276639,43.964472960656025,41.20331187982407,37.88218006481724,37.281403601763984,38.63261674439777,40.45022257811049,44.7508650343623,43.82127249957146,49.770242941325066,49.75195103018583,51.73056365851085,51.499953592850105,53.50171341018371,51.39206990836475,52.03493828408893,49.19527333880403,50.419487805625266,48.17520716980676,46.036502202611224,47.63825324776574,47.23390927590783,46.9811516005587,48.503264769932976,45.90020835553725,47.76041261208413,43.83029098854884,41.3361615570017,36.932857779770664,35.81482393884933,31.929069834507473,34.92709296389864,32.46317714915105,33.00504824570613,36.84383558428624,36.108062504941245,39.42765899652541,37.73635137466908,42.00389319539665,37.67228053226152,39.97185018477404,39.9057482282287,35.65273155566882,34.84730198713093,30.303749550436308,31.650603597015582,27.693300428734187,29.712220726147933,29.30380906033379,30.529576260716286,33.44333589963626,34.86209497444838,38.00634378314229,35.44699365446084,32.531368128259565,29.52185969620249,28.627257665282958,26.758320291751314,24.433133417626394,27.98467298613405,26.052388215127113,30.640363171497018,33.005149038881285,37.50428953995662,37.694711249241244,41.653226623441675,43.21156371788214,43.16036262232513,40.27324241691625,36.29259684732558,34.75620682176776,33.99211575366726,32.90301700742227,35.352177610335296,37.4445055248701,41.865003635820784,40.07817778645755,37.54549059893722,40.53612161483695,38.12359364034122,35.34383303176505,33.551413473367305,32.86092157326059,28.86055783765637,29.456095898883827,26.688623569296123,29.590917053139723,26.630482070825256,29.02701671119118,31.431920565527324,31.068127813839283,32.700861433375195,34.33721431467303,35.226427494288956,36.86111022382748,39.26419989565911,38.741912517754855,43.009025202603524,44.28933887168141,42.53834538123344,44.55051017325526,46.493735797477235,43.537940437850004,40.28371978463478,40.215515773916096,38.529083609069524,41.57425965252884,41.94996311370902,42.26934793507172,42.315432747273164,40.35616728227008,45.16312500231204,45.94199941470057,46.668461497923474,46.00779901779696,41.86636517045496,46.72420013284915,49.57323106280283,47.30744956361634,50.5832990104608,49.51219719771827,54.32247694196851,51.8594111446858,53.73702203426443,53.802885317256894,50.594022493380834,49.43968228776072,46.89521838916925,46.76320594520728,46.486256622252476,41.60980597034872,41.919346386790636,38.59567731501429,36.70680766272564,37.90439067195953,35.53643797308717,32.656299647426046,33.167367801225055,34.05650355855125,29.662996196913536,27.864402043659485,30.429374376037586,30.17039919304805,24.628515492960677,25.39891142876386,26.723641652471496,23.078617670173234,20.688134637881557,23.968917734707155,25.695563227023204,28.993486034605844,32.02843708009387,32.47223402120592,34.208661561041204,39.49240948429879,41.00013388959296,44.4848131254775,45.096732886542334,45.11786655941663,47.46109012964618,45.4009717544876,50.00340748865363,48.63522415263773,43.61008992365354,46.889255226500225,50.567071255643896,46.828011907983964,45.0726479136101,48.742582289043874,48.732522481227726,44.314151750993986,44.32186908583126,40.404365695327094,42.505756186579745,44.699863646225076,42.37669361129919,43.89376030747931,44.76055997592177,42.50787469241387,39.77812589410446,39.628136188595214,39.18531598591772,35.53929640396058,34.167272307118964,34.114393625191695,31.416854992889945,29.315667348562137,33.031903894421546,31.66572849067454,26.855471123840616,29.25948604722092,32.888940604679526,33.462699108640564,37.07494657112892,37.539234264361994,41.479646046038795,38.98346156816264,34.784518989692664,39.49099185251464,40.541010459670545,37.292192449115575,37.615191180856115,43.21414463228829,41.40350446467492,37.19234768795813,40.634428037086494,44.631433237246085,42.10499382079517,38.934341819382425,34.32223642962211,37.87923588929918,33.618091045251404,32.64555139754947,28.143217075653787,28.048047542238592,23.60985008296111,24.340020167626662,27.387073377637645,30.939889551481155,32.26022721113551,32.83640861196914,30.037715443544784,33.270207737635054,29.572472470438697,26.682392909121262,29.727882885528178,29.85606507551934,29.220069661799013,25.49719849852098,24.37788698886938,23.913668572589263,21.838165584819514,19.02951881673459,20.334714851379047,20.503870577324705,20.52955411240549,21.587789864562346,23.223112199362678],[11.123665764561547,13.612600454308968,18.36515657788616,17.15595233541534,23.018742544831383,19.705025537288318,23.019534347904354,25.14433445744258,23.852153936497754,27.068765884541417,28.5411066651486,29.977717859946246,32.28859283934265,30.529841391381883,34.824095212602145,36.757443487185235,36.56839864887236,40.902593726828776,43.67833975349711,46.311286958298496,49.67308530049591,53.48967060230951,54.32857453334137,53.68599829386536,51.202413992333156,46.91968351445381,44.82846604833789,40.85271220981592,41.07874401807896,39.9266510855733,42.12346281803126,41.1848004608886,43.73760894755839,47.997599673309935,46.554865404211284,45.60758669361794,44.403147406141834,46.069671195299044,46.15007381339325,51.946046985538686,49.264410584521265,49.98074627668799,54.2681559489028,54.32744411422028,55.556848258525044,54.66684801218021,58.97461749533364,58.308137944600546,54.233192128175325,58.487614369499234,61.37636037612637,61.648368037486804,63.079610245051974,56.642427737493136,59.52281631652938,63.25911000122069,60.346660211399346,57.31260515742988,61.41328049277381,63.64197322738108,59.14804026108868,59.95946261406643,57.72630518843688,59.90621275282419,57.73312645503831,53.9001202497251,50.90400883256193,47.378776227357676,44.792933642602584,41.691677582616414,41.14351874704147,42.83062716567395,44.57343371259855,48.67874190846312,47.6022694198779,53.63947725932352,53.16964746068416,55.21992117759322,54.624762397550185,56.292974008423506,53.896724813976874,54.147439745497415,51.081881197910185,51.89925451805979,49.665872888871,47.9776048921509,50.015742838812436,49.74264756519432,49.91742455241696,51.75266053847745,49.42646774809769,51.66031061692798,47.76417447610258,45.17441171545029,40.653775667784274,39.894629048300736,35.88593144489366,38.37557157179362,35.58482555301211,35.757709102616985,39.43210742697486,37.89952966348953,41.31584771260404,38.875083555325986,42.67267409536234,38.03716427588379,39.80467476543215,39.316664430628265,34.869064013738814,34.61861141052477,30.140583254437523,32.20294644606297,28.786580053988118,30.906659174525387,31.380908223736416,32.45223757142253,35.80326760174268,37.03042878591679,40.83393894522888,38.47181155487265,35.56105959937298,32.42216036662951,30.928570637860204,28.733795940360814,26.069001674673785,28.773368352806305,26.025041782026573,30.70852935247276,32.59558294697831,37.33145947752908,36.82792487762241,40.69074674913831,42.56606634690287,42.93716236539771,40.051712199306735,36.42338809723051,34.208832031228134,34.21078419961392,33.56205118609803,36.40903777583485,38.72910753066574,43.34865748803566,41.9917964785807,39.27873087901708,42.28705956662261,40.15815948446181,37.18324795156395,35.448810995219795,34.35230788676101,30.537852903093473,30.613053253793222,28.45770403645208,31.068196106919363,28.52962176445072,31.4861346487628,33.59660343544517,33.31680116859865,34.29840061697724,36.364204491845456,36.38899313340823,37.92107292263346,40.949583143160204,40.040435893951326,44.38181342115044,45.091993571644814,43.09488996645862,44.654867253986204,46.354555483070925,43.036168042071374,40.15365797533727,40.08836823101425,38.93488744156273,42.187946844801836,42.79668608146212,43.48358459261665,43.56437478511347,42.170552231394616,46.77164685541795,47.388260170491705,47.74723334439343,46.835258039934644,42.399536685377136,46.901267883342115,49.636047937899754,47.58343909227905,51.357633207799864,50.75579791386252,55.32104215500911,52.77205540043669,54.28110332202982,53.970781096036205,50.799748551048076,49.14515885333524,46.35837087508613,45.91517255350548,45.17964477377489,40.275871789417,40.275052080075746,36.58913169293864,35.1032025179716,35.66167026790911,33.67789203794892,31.00811508345052,30.7072466157991,31.429315008321574,27.42301875599451,25.203430962299525,27.25087870022078,27.273576932619154,21.78342490700402,21.883630823039557,23.00099409418517,19.890877604971024,17.062316912710788,19.587816832376944,21.462697781052093,24.561373991853092,27.59863236437963,28.42906329742199,30.015116302021497,35.31170138984019,36.62772195328022,40.343398843955626,41.33698932556209,41.67067866738122,44.32032722122336,42.70223368575472,47.17975680921013,45.382399957388856,40.672399177561516,44.28218783838146,47.60010971896126,43.75626468529079,42.4116847692583,46.28013692598753,45.781011526281,41.33472690350275,42.10591577176354,37.93578340725544,40.67173360963853,42.62548645274524,40.10235475579754,42.02280095050333,42.768984117911124,41.064440953145784,38.039485563164774,37.469990685163864,37.56061594894546,34.133868934562436,32.067872460724146,32.07028042764105,29.66290249701531,27.08244700956583,30.32237187692166,29.160416720760285,24.396359250047862,26.04382036740252,29.536714132310962,29.977146208377313,33.83812818501556,34.70439286036744,38.35690102023626,35.381578707177674,31.44867167018237,36.35084702307829,36.89220776037068,33.534868877654226,34.339718916192496,39.668356369159355,37.394448239853496,33.47756684427745,37.29868258991981,40.86659639087146,38.05186353294409,35.08578815345948,30.588844310574867,33.80519237747878,29.604022496071515,28.217548185826935,24.140042538236035,24.394681027163056,20.375235322375126,20.945000768151658,24.263756103797405,27.649666928650102,29.407638159480747,29.985710195686146,28.060528366159826,31.62538526897772,28.620853831351848,25.308390409596946,28.753005088553536,28.55733870361098,28.80961978834947,24.967478050315517,22.97307819246586,23.153637170710216,21.979569984448,18.009445471794457,18.840954912921767,19.879291948452014,20.405454049810377,21.920735889210913,23.477567610615214],[6.400160887778097,9.239842862507352,14.292000753510129,14.595127528342564,20.106912615809414,17.136012278812597,21.0076250391211,22.95663666641666,22.719382927939346,26.429606216517858,28.279217923897978,29.212408717995363,31.4423962052334,30.478458195517497,34.76675348235531,36.237776364486606,36.10652293915808,40.687074083559786,43.74605024410163,45.89014320846732,49.501113329739255,53.005652789893645,54.172905546676304,53.5711462231762,50.761204034087534,46.66834916251194,44.16367617103251,40.226834053319315,40.35697233682248,38.895889260402,41.81335714779929,40.147423387589086,42.90710801239226,47.30555367555202,45.57460817056812,44.79396311439552,43.025560145134676,44.89941516289289,44.81768905064466,50.25420256683494,47.93120158581476,49.104813083495465,53.25797737875436,53.233872782647815,54.691325427493204,53.63751492158026,57.93881922812761,57.135787050571636,52.77521353924394,56.89356659898714,59.74717853604021,59.83652276405211,61.34832742300266,54.93759135944363,57.609235936360555,61.63966118742391,59.0322601367013,55.90868065977727,60.010106583219496,62.49159749405372,58.304286280654644,59.288789716950845,57.15570952004753,59.66778847225841,57.35161152578069,53.370357822210096,50.95388567234211,47.343767787296386,45.24299634508812,42.213777916424334,41.986106079950424,44.097805638080764,45.42761507204571,49.35237473327502,47.819033697356744,53.808481572314314,52.86020329852489,54.76765531717745,53.82813802138373,55.22718404246001,52.43949334088816,52.44340264145849,49.01040739022379,49.592743627970464,47.58807060905785,46.189213880204136,48.69956670726537,48.283452140116005,49.06923095851431,50.965062169461625,49.06984056063006,51.685402679699166,47.81249527554051,45.01811617092342,40.47290941719063,40.09181356488569,36.073336763058876,37.759583893605594,34.61654128248077,34.24956814926172,37.81855789220068,35.487712593721405,39.0972380689957,36.0219219744702,39.53696744207003,34.781997496327186,36.04973387626609,35.460291639863655,30.96245057395606,30.921474828784277,26.70302394369227,29.448251299486063,26.587165118460444,29.106797005744742,30.375370760410288,31.673497994091626,35.32180307167103,36.78101689725466,41.02848362869972,38.51017950231151,35.86074059169023,32.50655366462673,30.900931920779502,28.216915236105933,25.039336583271055,27.02717486733335,23.25001989512927,27.94587031893592,29.32147722203149,34.02378952161561,33.33248847406125,36.90639979912341,39.18678500240941,39.55701213371933,37.07577078542918,33.80934273132817,31.48122629136984,32.20412248855729,32.19432274856716,35.060585595240866,38.0159655291178,42.582156810726175,41.34577895630273,38.344902286911356,41.10669494030851,38.965883232907274,35.93168763816384,33.9468055019747,32.329132167331444,28.62496667609932,27.995426845920264,26.296538021965834,28.431290748166703,26.33442004634243,29.752703304265957,31.56661215069612,31.517457244786957,31.891864319090427,34.47972011820727,33.82446056238657,35.61979290691749,39.16919557829958,38.36771769387754,42.55725487621689,43.061541855351514,41.315888450933606,42.32803561345829,44.14371224689479,40.584679753883364,38.043682803874205,37.66705678684914,36.82872657120527,39.852219288347996,40.37666655629546,41.16649271008759,41.03372059513644,40.128021061272285,44.36082386193861,45.07211092002896,45.059409974579154,44.26102066802618,39.4615275274007,43.79425950759787,46.558798704909805,44.81407786647957,48.96525107136224,48.78342192133652,53.24145569097141,50.98283866118557,52.06633924103189,51.568743988063495,48.27248766552841,46.32532700034205,43.32871604981025,42.568023014953845,41.53670765657846,36.68446051440223,36.26019812277933,32.40228498016946,30.862846617414718,30.953657475495287,28.963357669674917,26.610367229681923,26.056796781046195,26.402600814419586,22.55387652104554,20.669964694872352,22.215646756112918,21.970551883254625,16.724794866047684,16.76232121663526,17.593094717420076,14.505275011171012,11.878856506052426,14.403262641403517,16.546695873556203,19.30364794076286,22.919054445098432,23.384401206867878,24.752908596692997,30.083640617993414,31.350016109182484,35.046880802988056,35.91412877115926,36.30771510937302,38.97320955474417,37.48106213523275,41.978665872301,40.16488789844106,35.63532324806661,39.29994446418138,42.62694124919074,38.91586602259093,37.71132780399395,41.70725894297006,41.26698716953334,36.86836832469103,37.942607240545684,33.46118500655833,36.19768633251763,37.89437062597586,35.12474539490128,37.09174164206206,37.661999478699784,36.23973732616606,33.19221095233021,32.308349032469685,32.592678021646854,29.366243010977854,26.987136788067847,26.93679415687211,24.686392686770386,21.931756489405398,24.959837753218363,23.91318796966735,19.19804620926019,20.590346842840756,24.080171581801196,24.48623024923899,28.36732897970061,29.348881135457273,32.9520071441752,29.927684003837257,26.128836653543207,31.10516733680327,31.62597121686853,28.33758374068019,29.37609227838426,34.620397708946165,32.46964463763834,28.771778943319926,32.67200308258475,36.1503554039333,33.53991770399258,30.766137256882697,26.44561573568688,29.94349570221479,26.105372446047042,24.14793946346759,20.302156943780066,19.974387980911512,16.058214633895968,17.482298323211513,20.680692987224756,24.1534330651308,25.76980348780131,25.759289486874653,24.205590662494906,27.656737352110085,25.19239937734497,21.289956150129733,24.58373979390485,24.003986093437994,24.802711304705554,21.181856496255758,18.48637346767775,18.95140234620465,18.716808069000816,14.094153523251727,14.283947037435018,15.90846663061292,16.901658885547587,18.800264803970073,20.360688253652537],[9.876800027483682,11.61683192704817,16.166520309997715,15.858974950586889,21.67969228503666,19.97026398831084,23.779830523924446,26.381293755531416,26.056886422079,29.304159914384382,31.395688149158595,32.80734925424408,34.488943149967525,33.149185768364596,37.74053750439225,39.2961975541448,38.669915146126954,43.17669592428972,45.75952930746596,48.113828122952484,51.510541923363256,55.021689161970045,55.950549075654905,55.036250711350775,52.39813186488271,48.33830475419564,46.03138595705126,42.269654614448385,42.861479257649854,41.82307358789869,44.869024749921365,43.53446939741827,46.50008280376918,50.73219309786319,48.83195770906768,47.69843358830774,46.10667672174961,47.426642449284884,47.08645871380115,52.55953508735392,49.809924294873774,51.12472641427115,55.329971327753576,54.993365820236924,56.11843043096697,54.81218145789369,59.1035750564216,58.68453395217928,54.27268936527412,58.15854293241857,61.34101770643789,61.545521126517286,63.28050635150738,56.947341698887605,59.90829541613019,63.8775328869551,61.076860440643294,58.239644468358854,62.512380805263476,64.67191415507367,60.527278170082354,61.78361653800318,59.84837241027251,62.056702180965424,59.57203552545565,55.78169176256893,53.184551096853774,49.81846272479701,47.39846402269026,44.64070232595022,44.103419737970256,46.15833966811724,47.854970893540276,51.66406861570698,50.51160571431661,56.63419214712729,55.63215989505216,57.842161308588054,56.81880183485457,58.06000148705043,55.441813494865656,55.19911962764522,52.040773499563045,52.34301548643765,50.05328373288384,48.922617773637015,51.35658163124509,51.36616205438522,51.90416513574655,54.20217053625294,52.14643376268054,54.80179142032366,51.01266289986319,48.42703561546454,43.793566977300735,43.49296046506275,39.35109142127872,41.39659621380255,38.37048394916832,38.41717130886813,41.60988728108252,39.383790007997995,42.631666167919676,39.493357400454386,42.59549952901281,37.70635569847464,38.96326127966934,37.91574969119117,33.36194134873596,33.81930053778988,29.463208509263577,32.079357670442896,29.34041763239754,31.322892637841743,32.68613475597399,33.457354888288414,37.18303159480954,38.102287444163544,42.563405796656326,40.52609943748474,37.64556833936257,34.473576092410504,32.32172992190584,29.90403757063207,27.0755919601119,28.74949483474242,25.43890199927997,29.980318897150866,31.35663185032169,36.261307282917144,34.92452913230019,38.68712383176234,40.752862738545076,41.67630186591055,38.69438453023715,35.503369518638564,32.54103114483971,33.31291506771692,33.101586892878366,36.328051401967194,38.76699229519265,43.519439459771384,42.69079407343776,39.869203705494186,42.88036043211368,41.177814027316984,38.04292501873773,36.53246618332695,35.13102083423252,31.71335651321518,31.43842852887641,30.145792699598505,32.61319917162573,30.860335495322257,34.090526846739046,35.668578675488554,35.26115537818593,35.5367645275237,37.828214328647235,36.90306273326662,38.08318522720421,41.67942498386462,40.23467889280393,44.61586583946997,44.631786180131286,42.32006954153758,43.411693394994955,44.7676192293276,41.131385236404384,38.68757676274588,38.68861338427235,38.143695322849574,41.64013892584966,42.575357643516654,43.71503287242949,43.96370957004867,43.196180850839546,47.59471310373394,47.87365262048677,47.881320649313565,46.561253509214595,41.99119019035505,45.97170133386794,48.48659318120903,46.630335463689455,50.85715876695587,50.74402829104919,54.95055210449015,52.26183538537651,53.38974328281834,52.67499408540996,49.62160653147683,47.458522186013276,44.48330042239968,43.765436370632344,42.58262148320923,37.727144539831286,37.50656118366163,33.532690188758124,32.63950218475894,32.62333373690593,31.253274597251316,28.73642712570091,27.496170609562633,28.26610730299322,24.842832294876672,21.892106374262095,23.506353531326777,24.250046862962417,18.823497270805305,18.026880147002906,19.20425429506985,17.067530428740483,13.480621289353499,14.98442867416965,16.6437143075673,19.900009579948808,22.308636697016965,23.688767678012226,25.345807307824117,30.52872684081958,31.916077185371005,35.64422773438765,37.12830667025196,37.65262040381116,40.59768328410439,39.401538938743776,43.61384107823158,41.34721830546955,36.898675060301635,40.81025757295355,43.64572456422839,39.641027917141756,38.70267777119145,42.6810967683746,41.607590964762224,37.16384559791957,38.67097198391756,34.41607481287904,37.897462806659576,39.66859331191089,37.1499807019911,39.58387605907357,40.41648990975371,39.25195640700134,35.81228843945649,35.0720412926257,35.86255996539003,32.561520749065096,29.80841880875214,30.19525431506994,28.24816592518063,25.04040814985045,27.82140185467412,27.199698177129232,22.640894319924474,23.186572418114146,26.534114324173785,26.51913221920349,30.526303698904083,31.628432549896328,34.86707617373463,31.477613482804518,27.677466208157377,32.61468521970434,32.59333249151172,29.10585582222762,30.225764985723846,35.237948134886295,32.465448987727626,28.75850400595812,32.876109454413516,36.007332158006854,32.87478583688941,30.062683966338128,25.697009199968097,28.48669699810733,24.340642616915765,22.697729423347642,19.045157124207684,19.83989049469698,16.49728418645521,16.589109617019787,20.092889590034275,23.157565586796828,25.376763206567993,26.107361081429104,25.195218976167947,29.08776093374039,26.90216547777969,23.488712133364444,27.446443767144512,27.13104948477326,28.37591130372035,24.33710528755432,21.701921916648335,22.8627654741026,22.350871679069595,17.45900178807038,18.15892912848695,20.325425509446553,21.313817270105336,23.196350437254285,24.748660539923268],[10.465107263533842,12.196652412100718,16.59225408062995,17.66816837973868,23.00308414053882,21.72141552893437,25.81022886266882,28.157080662337613,28.48020052130515,32.03086392230996,34.23146889996329,35.259840420219156,37.02932762363436,36.159490300826626,40.66223211820316,41.970678294863056,41.457193865510405,46.07703041072549,48.83270984342473,50.90198259190143,54.43335532813318,57.753087466595574,58.8702403055146,57.97422619131308,55.16019607597413,51.22978026494815,48.69321199486988,44.975500499820065,45.48571853307567,44.22545473499418,47.62084747639639,45.83122249634105,48.831728568909,53.17089117111519,51.16391130610525,50.19718569507944,48.24755250875169,49.75075231905965,49.31635243535668,54.509088772160396,52.01616954647401,53.63231599062037,57.73365183965668,57.3336127140721,58.58437733515771,57.14243302749432,61.41117216662751,60.94157463018122,56.33595956071946,60.07672694842551,63.260911218100176,63.33900496667729,65.14631159301496,58.863531701849986,61.66360718827489,65.83122537933468,63.256331985857145,60.370817584752494,64.62001079326218,66.94922676984908,63.016415337006855,64.36122522557588,62.470876199946915,64.8898403397335,62.342895557915924,58.466637623363134,56.20865906571732,52.78674977989918,50.64412201664516,47.89430583654368,47.536042834803396,49.759708357756296,51.23887795684426,54.98057779861106,53.56812838428374,59.627310915820146,58.39932957834744,60.472140422319065,59.27673784472954,60.3741430517686,57.49381691042143,57.111442769763286,53.67764564224619,53.82007817962149,51.73007597594456,50.80867522523122,53.55786127616889,53.4262264712202,54.37444819574402,56.62505173377326,54.843018165156664,57.66544334377844,53.874220003461076,51.13909984805163,46.54021108674428,46.36962484251268,42.2822758027423,43.84519473703072,40.6193511270619,40.18609859808216,43.4584052841057,40.676550037223585,44.13920812397405,40.55050106314963,43.42455170390479,38.49383522490346,39.235549569431996,38.081309900782955,33.536157291123175,34.229225009133046,30.218317296660807,33.396370280400724,31.13076549964666,33.37562229306031,35.233668023663455,36.13837421452109,40.00727070653633,41.037898127413335,45.72444379474016,43.60666108041791,40.88109897131992,37.61408871404763,35.42844177076425,32.77267739893589,29.686152236062245,30.855670506992315,26.85306704739963,31.296562670665644,32.18035315457081,36.999540313029954,35.3949680719624,38.83264899508406,41.26803121532841,42.26762267057933,39.638790708932014,36.824496478759315,33.685390393546314,35.07593445519162,35.31872083521955,38.573141590765744,41.35084837615007,46.055647374969894,45.359175462957246,42.38730724573313,45.22915248515548,43.53962184173536,40.39148815642408,38.717791824703355,36.96188660067339,33.636552626545125,32.805365811024295,31.75734725450224,33.70893928030475,32.056301132501034,35.67151555653315,37.18484392003504,37.07045355004304,36.956876131093196,39.65451526650686,38.28269869744163,39.68386236144972,43.633433029188254,42.26624575333595,46.5108492415591,46.328480616981196,44.1478622612954,44.794820018138765,46.133374662773264,42.29334260086242,40.20262763545106,40.021811603536705,39.802974749643006,43.14068073169707,44.03065993006465,45.2501170170863,45.310763249868685,44.90948165602449,48.97571265962275,49.36922627507005,49.073241525035776,47.859800352804186,43.02197925719269,46.793179468065865,49.289910987977095,47.71819187814455,52.25049380121052,52.48194987910526,56.55772435785561,54.05808219907798,54.84130753815182,53.926493166133305,50.83181448719974,48.373787151555845,45.22543769902367,44.202062187562504,42.664979315788415,37.91800863111819,37.26232573262956,33.07956740983955,32.32281314382586,31.61806537235621,30.40837756273043,28.36177150256328,26.587915219502083,26.847924475959598,23.89754903012611,21.212635693919747,21.914816640509407,22.431966727756937,17.692755909895947,16.356194526863437,16.829233854210297,15.335702342345003,12.07796360502516,12.27701451090507,14.40951351603299,16.707370465346845,19.792776776785555,21.261323116943686,22.402699960622048,27.55658522998384,28.518979190574665,32.53717577566214,34.18668164641238,35.08152394278578,38.21219442786033,37.446412455768304,41.582858804958285,39.077951045345465,35.105421711210894,39.19437481038581,41.81143508345181,37.92498162192398,37.37850421270586,41.51766195286158,40.22603252488282,35.86980063998856,38.03235771427141,33.475661635029084,37.175308463531444,38.57152043783336,35.73245836209429,38.28886570225741,38.77804267126836,38.126923280852914,34.71637115927016,33.396554130048614,34.47001405387798,31.621459322420684,28.40615652984359,28.543449688691215,26.87263465222485,23.578868782745996,25.656783078271403,25.05341301295518,20.824079256795976,20.720003914769777,23.710878971297205,23.78799319827486,27.927637425845806,29.50223389295971,32.45837699248017,28.69641097359644,25.45851492503342,30.51920246888509,30.090797329360466,26.66417827809258,28.422546887039715,33.03867222761806,30.013158678365233,26.864291056431213,31.278708739613865,33.92443784038366,30.732938734092095,28.320233721103094,24.303384827862228,26.8637085137716,23.116617770659914,20.666627417335867,17.85116074112386,18.56380867862676,15.940957549756128,16.457061808749877,19.86906786747426,22.685957754523667,25.065579064602833,25.364147505524993,25.26855884604036,29.080973228023232,27.608812376486767,23.737360093213923,27.46913741047245,26.668541292714682,28.48930849456524,24.860144002812234,21.52145998808131,22.84170852986662,23.381195644391692,18.159772141092194,17.933699540659173,20.36875954792043,21.64793199654696,23.701513225521698,24.967695057269747],[9.915884726094603,10.331243137353713,13.928342010697708,14.73194941884104,19.931249797940897,19.740526015837922,23.76416699946336,26.605587563307182,27.187506447405596,30.40586240780617,32.97028005211063,34.25914361566324,35.378851942160125,34.53969444694959,39.25422461084659,40.40359381982366,39.465369711551325,44.077012052985786,46.55300976587295,48.54603674461507,51.9921258425011,55.162181018465574,56.237677794313534,55.15381859033982,52.337958411630126,48.53805546842012,45.994511109252386,42.45569913162801,43.285263429354124,42.29113601068773,46.0862899309046,44.338074434883495,47.63326375697894,51.80617444268011,49.50906979563313,48.268815809293365,46.29552326814633,47.36263964611704,46.67430392446063,51.757052535108116,49.071725617933396,50.923228165834665,54.989424783830636,54.346995502646536,55.452707126875595,53.82096746886333,58.059601520741744,57.77675639300014,53.085478021615565,56.642289333510135,59.996773389909215,60.10884705860595,62.070126630831474,55.87395960705691,58.823763626054834,62.994213792676106,60.37127556973007,57.68849264664156,62.049405585834066,64.19346328479199,60.41519764817709,62.037048656147505,60.36613266302814,62.65463021337004,59.92243020523422,56.160206912999065,54.02932705701868,50.79597107376334,48.650550350268134,46.19661737302932,45.75942413659481,48.17272921682259,49.70175779230027,53.204801496335286,51.89481424493466,58.014067365980175,56.503690621792636,58.79167232116934,57.371964144426045,58.2136018527713,55.37676543970931,54.70422047912344,51.450627007753376,51.30160426216267,49.03191743216536,48.402235972789896,51.201352647459096,51.410197469965716,52.33493784237557,54.98841797309495,53.24586282204157,56.28539744789319,52.62429984135708,50.0366284919248,45.364710641712264,45.50458421994845,41.311806653789866,42.84847719979403,39.641564690462175,39.56002595452141,42.24627155249365,39.41890931205613,42.46023484282285,38.742504521918306,41.170100010922106,36.15392091851066,36.92141283576979,35.41140120176173,30.865492465492135,31.933408239541123,27.829058086637005,30.89527389076693,28.876724996468738,30.752355399761196,32.91224051667068,33.496961185527546,37.478313010789634,38.22793690846749,43.19350197337426,41.37437643386245,38.641526474441946,35.456355760091526,32.873635032357996,30.237913057827335,27.271229991685797,27.945822337784637,24.12829900984735,28.37256387814251,29.20585137940463,34.11991759249199,32.11315367839202,35.682638859313755,37.92731732938298,39.269728467349914,36.331811602426384,33.618339251277405,30.13015361686209,31.646075171163602,31.94110032964974,35.361962857375914,38.02566353240061,42.768321327407165,42.354166306185924,39.42364253380155,42.316791377038975,40.95467585183048,37.7493050092269,36.38986424364725,34.694794366684135,31.710491325123,31.087358060665796,30.612279372625572,32.889109395124585,31.943714439502838,35.29064930298818,36.32797496676984,35.81505098345825,35.43776030802247,37.904833584806184,36.13862411203057,37.04181680103606,41.10445318000606,39.30334911001355,43.603850623380715,43.05573816999013,40.619483323323394,41.208215729520155,42.33299151104122,38.45298710962402,36.461466064248604,36.42304553478879,36.41780567611941,39.97629627952185,41.1277853466331,42.620593357929685,42.969447582412634,42.788576171492885,46.908722511936055,46.91900903407009,46.59358680193773,44.983933091363326,40.32231993756041,43.802333836094824,46.1193985537626,44.493564993808626,49.08698006434818,49.4327019006723,53.304811489139304,50.61491769161785,51.34750543748124,50.30034462725542,47.33430906220159,44.756269320120666,41.63019563986702,40.649338073392165,39.08938167080984,34.34712066771953,33.8876349288438,29.727397280441377,29.32918018383597,28.82064914290251,28.01156978072275,25.68479107236573,23.656854086283143,24.48278842764945,21.675371102646512,18.152356715155335,19.345990407847196,20.827686883726095,15.636766835628814,14.021344784700077,15.383896111581361,14.356856693189416,10.201335081790676,10.660811764149804,11.821389785859056,15.43869809631403,17.023931679794515,18.762504037491798,20.598177783362736,25.615358867208773,27.24911823227402,30.798000916546716,32.61220744321984,33.16617041659433,36.28358162823697,35.37208524399244,39.32584366522537,36.738421796094485,32.4725138245948,36.57001126831493,39.027453694913675,34.92742404380655,34.288050006846134,38.31800542747228,36.856440797930325,32.450417828334004,34.5108238889462,30.204987325607444,34.22809326896345,35.82926222320577,33.374381726473004,36.21240710152051,37.17932192289468,36.43910186036118,32.67439558554815,31.90304477852702,33.29639275951784,30.10339346049471,26.852202820799857,27.694809424448746,26.22649950364936,22.524894058134613,24.92916424942781,24.935949050279305,20.73261042536843,20.250301570107872,23.44780069787289,22.871440294962444,26.851675181453633,27.994983953112225,30.851145120108658,27.25953747312632,23.488745151437016,28.328032512285798,27.911195066109556,24.349656985987945,25.61461648794316,30.366361359444383,27.305864497696966,23.726117018238934,28.00785247351041,30.84382087633292,27.565116755851133,24.864544821967648,20.639459847269325,23.23910856529048,19.259963701294414,17.321137928602663,13.998463802896092,15.082822040283428,12.526874055339068,12.364740228852979,15.840452600675054,18.599378254639397,21.078901949770078,21.78310720173024,21.799165923287664,25.829583951751484,24.479638495332292,21.068436549011196,25.31111966415265,24.940465760090337,27.020353906381164,22.9552000086143,19.932722600246425,21.967692406494443,22.003695295836188,16.687622163413966,17.326129287062308,20.376339727854123,21.672037492599987,23.774148246380456,25.31684550627545],[5.962127220768665,6.496558963814191,10.730058372037853,11.520088889896337,16.855141298448107,15.851659458489657,19.92904821235299,22.58616379593147,23.157980066456812,26.541860184609114,29.044854553161116,30.190649222749645,31.4730675731914,30.781099399498906,35.39189759724254,36.50456012713205,35.76883322751204,40.42507530102818,43.143576619365064,45.0542355813126,48.61522811576399,51.816070474828415,53.00873435184329,52.11176916621282,49.2070759462826,45.35287798071184,42.71491869357709,39.05134115019277,39.646098775574686,38.47097746155668,42.199250766130874,40.34862579957323,43.5813507105224,47.80659985535307,45.57663524379888,44.466698993616184,42.45773307325803,43.77216593703022,43.24383274989778,48.39180690811027,45.89185808302239,47.59982914294005,51.66955971307827,51.23063826345272,52.52498343939014,51.08801943237696,55.3549158461609,54.8269136325091,50.203452584646364,53.971450132746114,57.11541010459456,57.187649327971606,58.989957137359504,52.71192583493777,55.53799666972143,59.70467767134875,57.13407523184225,54.284011494814735,58.56369648605063,60.86147045495816,57.00476400359867,58.46234919867582,56.679424240423,59.10170135683998,56.465079956216734,52.60225322393106,50.52740169915611,47.165750994550784,45.167055073804335,42.581565389229816,42.29901215206402,44.76565731666482,46.10371609986756,49.65600191454399,48.16496580523492,54.235015994541754,52.755116577430066,54.92339283456146,53.55621400854197,54.49795688910297,51.61901571617302,51.103749814307655,47.76387413776813,47.8080250055706,45.63432629377036,44.79761738539479,47.57846966321501,47.60087425237212,48.57965627545209,51.06547218852151,49.36456450922965,52.39151528488915,48.70001626150896,46.04137893731348,41.390701729628056,41.531731682073314,37.370861234462126,38.77998741366825,35.542998507813614,35.41723774365639,38.17215501548348,35.4092573099935,38.540271728994774,34.952504831763584,37.6665568000745,32.70123955676906,33.67522718464241,32.46249743634678,27.900642239723393,28.597582230530406,24.38842942472411,27.379540098100847,25.154991290858167,27.280517746641227,29.326281963685705,30.190890192717628,34.136774387991885,35.20503533413891,40.0406133550307,37.9445885935095,35.321830964960284,32.02601664619789,29.736714152378312,26.940996386340625,23.773642375781513,24.72328612804389,20.735513392979968,25.174875280489804,26.1891466219879,31.064728143907633,29.56874204901107,33.180473988271196,35.43690000966659,36.38954239641671,33.625579074126115,30.703469257822476,27.681195256409374,28.97338262627906,29.288239925893844,32.48463158095581,35.448640127359674,40.09856304354228,39.38181861620141,36.34802078290169,39.13606674029935,37.50232530392534,34.337668513358324,32.73905165564857,30.992448263351676,27.8341088298599,27.176179810647156,26.52072016192507,28.837171318616548,27.87426199561175,31.157055519008708,32.21662257937513,31.742230977591827,31.465520559985308,33.973685531596466,32.42143685822843,33.596130962889035,37.570684081430784,36.11900277313296,40.36323036933263,40.18121035753905,38.07971766824724,38.75891026422343,40.2342034471196,36.46128710081376,34.255029376186755,33.9999149514151,33.67890630834211,36.99721072243173,37.910680836694425,39.182502093558824,39.37866228753457,39.02996864728867,43.173532532575976,43.373170251792324,43.12669926033932,41.77736261883521,37.03765723072994,40.82897565631043,43.32678760167683,41.66214525846125,46.12765179819203,46.325745864907624,50.41640053223929,47.947572082451735,48.761199832812466,47.93060499263559,44.79299939458692,42.461245684655424,39.36791623912544,38.472840367522515,37.16517007431769,32.34191941564698,31.925358597249623,27.91169079909244,26.97515303964714,26.88403525355355,25.56646141598594,23.073264744679797,21.766310148079164,22.58910861253399,19.188289729948718,16.186963912596223,17.891051322695663,18.861447995025195,13.228231494740944,12.51401806848145,14.148551193407322,12.068427503919844,8.080896118102403,10.40513883349262,11.69628076772346,15.577562075285618,17.793638120494656,18.6444013781556,20.593302532556844,25.769699477252935,27.61280180403854,30.93656675243957,32.187794040251994,32.40774830330115,35.2261895634424,33.849178738227636,38.059845502737865,35.923343193102596,31.2966876154547,35.1397311240255,38.08933891534016,34.12874922029124,33.0659682318454,37.04690107426817,36.1868621288025,31.749854865569915,33.13739490517978,28.776231803434367,32.17532790740531,33.92890530292759,31.460128285139167,33.95625615803401,34.97149900913532,33.797769634924414,30.20929965492395,29.682243400268774,30.660401663761128,27.224548524458072,24.393762741926484,25.19167813890949,23.42547220783563,19.920598424444776,22.93252168881284,22.76798950344305,18.26163911360113,18.574485242840982,22.138616315755545,21.70924730336402,25.54403846858635,26.30339411841551,29.589230917170852,26.46930772021098,22.296074338425278,27.12615562725672,27.360598940413798,23.894683361264416,24.710473390365777,29.91167369122115,27.504400141021687,23.581284348119866,27.52753843391767,30.946941001880855,28.15312476377555,25.250067150625775,20.85385751679404,24.262782880435303,20.37437605709661,18.611738406186024,14.593120790306726,14.593670467289446,10.961006548303704,11.902265443325975,15.184997227082857,18.51717620856979,20.361475458424483,20.647534920090262,19.71613683994976,23.525234619790478,21.64528552538609,18.025838816099526,22.070900920358355,21.791227194423897,23.439264702926224,19.328424690498125,16.526328901760415,18.29504480608812,18.02502843069621,12.787245417548196,13.740638248564217,16.663928715673052,17.910695161176232,20.01783754887001,21.759462013882647],[8.057126876452612,8.40931857534669,12.273898257027145,11.455992651121903,17.279829240712818,16.35254648243692,20.117657228897233,23.166792235424285,23.142237124406574,26.12652039792576,28.599020333175286,30.198303044395388,31.266231763082,30.058139463806263,34.83466894336931,36.18481239774794,35.20729805621788,39.74644518711443,42.168611987321256,44.38361443831034,47.76384115494424,51.122123713019306,52.08184212051374,51.060471830881276,48.3563138370079,44.409099274071885,42.02591166412228,38.38724876235119,39.20162910797389,38.34106495213396,41.81222818001287,40.43179949607772,43.6827933492502,47.776305049511436,45.59216631711588,44.24639897333445,42.58181412278294,43.57752213651572,43.039484989745745,48.4146938589401,45.568668656354966,47.086483233591956,51.25467964285635,50.75676247937005,51.83376520036056,50.409622631164126,54.688464465750606,54.341029589434235,49.85101455133983,53.641001783551474,56.9015845164295,57.113208193656,58.93817831105484,52.65490038178061,55.70102972644664,59.690056062957225,56.88289208810273,54.170277079713905,58.52042228734897,60.57826954194672,56.57150356673725,58.04765824582441,56.29046044180781,58.45042834695445,55.80807611769234,52.07583415499339,49.66690070568377,46.427663607368295,44.096964696464475,41.58605808503122,41.055098348157884,43.362126097730616,45.00043187907577,48.57834758936406,47.41946259348826,53.58263728253483,52.27411391367932,54.640774381113516,53.39011202024662,54.39954606126261,51.78144915772495,51.29972780382439,48.262269635595096,48.341558413038065,45.92663863979438,45.015610697275136,47.52036659195311,47.785136871211215,48.360026745856395,50.997892676431,49.028644837532994,51.925502453698094,48.255965800038176,45.77553699385999,41.075372129110164,41.11853705780516,36.88175679782953,38.794132293915084,35.75539988211814,36.10884586578555,38.724179551235615,36.43701279507447,39.302959537568086,36.06285533805266,38.819723280321085,33.873067673593425,35.22059945618524,33.948850486976454,29.405439879792883,30.078915993333048,25.606430504329733,28.079470617087043,25.515662401430255,27.23261275737671,28.88765424022785,29.456601683322088,33.31124187072759,34.0929696311965,38.82466789111626,36.960705473385175,34.12564407125986,30.96799052882068,28.51041530898393,26.01004769025604,23.18986886015244,24.46006706507072,21.261744569458095,25.6857236193475,27.0876955168603,32.06047389599155,30.54548404123101,34.43907165170537,36.32803371289889,37.42025019556962,34.22285703778296,31.050266129140144,27.939467606240495,28.74615111827454,28.60886047787746,31.919283882415563,34.40738906650193,39.17025454592419,38.50003887918919,35.65330205788957,38.66812022288182,37.178055652866554,33.99278369084643,32.69023439967961,31.309337784970204,28.172533011615243,28.076289029289164,27.31733850067068,30.102024366511923,29.089290978907094,32.03449214490551,33.116198426921684,32.331341131972685,32.350927245607465,34.44520333832017,33.18128278036648,33.980337318490086,37.67579521106243,35.942850846404184,40.35555464319013,40.15302255299747,37.73868243048946,38.79278243022753,40.09561434351458,36.45737580123655,34.02408660874008,34.06343700948638,33.60097118604366,37.21127306834802,38.303780150688574,39.62791125946231,40.09127193079607,39.4989471857223,43.93947514423694,43.92010688318758,43.9119076780848,42.31403883096615,37.87443219744438,41.687406569411536,44.10086306454916,42.18847083016025,46.437816447937884,46.39615351177691,50.48938622906043,47.72106073395503,48.81257676851923,48.05089471397089,45.0447635325404,42.85824232383325,39.91329866119262,39.264226404832705,38.161672881702835,33.28998682945706,33.27181932693915,29.402216207139347,28.627876784813758,28.971178405265313,27.781456341044226,24.95085943864067,23.79028055346429,25.08002955170987,21.593327500715123,18.110799404420412,20.391116293778392,21.78845852070732,15.891815140698057,15.249655777767586,17.27284388467677,15.20913201657735,11.065612945451727,13.428063098395464,14.268175881052457,18.60755354181217,19.972254277178475,21.184398098749334,23.45084377001045,28.511014711352082,30.54916523804395,33.748850755527016,35.1417367066234,35.22821579671751,38.024718098093345,36.52395061877957,40.645833111345546,38.49711302900484,33.67285023296533,37.46230266195923,40.334734201720266,36.22059839656373,35.02978394247657,38.86751948896622,37.89588333337311,33.42106188835187,34.540529963896944,30.52070857899292,34.022060279671514,36.033583345322704,33.877869616877526,36.42376329476205,37.709303728914186,36.311260113146524,32.62833986767511,32.49114212799612,33.423246802584494,29.737235588865634,27.131061433672638,28.147729010688398,26.305059347234565,22.82716369535837,26.085426237335987,25.964065703692377,21.384991477452523,21.850491223797246,25.46374792989075,24.930038782748934,28.699262772405437,29.262205036986746,32.54458571161692,29.51741200788249,25.13684428925483,29.813925636985886,30.0626731241789,26.535755853850155,27.01778634983918,32.285212961589174,29.781022911098713,25.59277482316722,29.399180595407778,32.92068986480033,29.95123702177625,26.826943048776503,22.25413229882445,25.405252521682335,21.14875879766571,20.08116736301148,15.737320710501022,16.379169982811646,12.683972641766955,12.545351708637027,15.960455914081672,19.20001082222731,21.191418496887763,22.127319083012317,20.88709364840216,24.869589254495885,22.570078778562138,19.566159398235182,23.913814500292975,24.056496319946582,25.37810050412082,20.918224442049823,18.727407315905936,20.46762583983399,19.338525986294588,14.443202305533687,16.13540853860889,18.827965454378777,19.801904721199467,21.742646934846316,23.608933308572592],[6.827253795102938,7.795027714077194,11.95992917576675,10.384251377449766,16.32751208313958,13.964929065072866,17.52980418541688,20.313309786565686,19.768695509064123,22.85779572317514,25.060438005121565,26.642117820945217,28.066973958356,26.721598058304824,31.371207145675033,32.88217152516834,32.19125377336001,36.70894534916058,39.35891736161394,41.66610850331239,45.105215137567896,48.62697698592718,49.61133194817006,48.807394419092404,46.117491162644285,42.02698555669187,39.68277457799311,35.861666725697724,36.39066937074641,35.385504825706406,38.46598870609998,37.20898627969086,40.272917701892325,44.41875708946889,42.45424201969048,41.24381343553244,39.73451652742451,41.01253263915484,40.749572408770476,46.32631805090493,43.597464701717584,44.76711669972203,48.98649675581905,48.773775929420516,49.998279825255665,48.86466417695977,53.17094229380213,52.58260013722685,48.27816233926321,52.3493380641524,55.36921461471322,55.59224459446236,57.19878800315197,50.81842957549597,53.77089258539439,57.65598268323398,54.818975849167465,51.9268064389403,56.168280683540615,58.33864268640295,54.125680908842284,55.32477619675138,53.375761787227766,55.59835504158454,53.13297535973295,49.31879281426504,46.754689072651836,43.36598100345544,41.030223521492005,38.28808352322047,37.833851115594946,40.03539676952463,41.5963465563385,45.341179138490155,44.11193887954371,50.24236279179779,49.168774665202726,51.41740999516158,50.37359272954973,51.624868408304536,49.08059562931479,48.89977639784084,45.86078150707282,46.27586787805403,43.926153234478214,42.64588823659281,44.962602498718795,45.0108287563756,45.445607505844485,47.81118762015882,45.734800273472295,48.4609354921333,44.716465863550894,42.19108666237693,37.51838433982929,37.37829280815891,33.175708023701716,35.2365119955717,32.2687745616373,32.6959204802761,35.548039100620926,33.620204587602984,36.60158648605167,33.75872088890917,36.99915207250502,32.1970757978862,33.917310253269235,33.072388434890414,28.590684424327904,28.71090678042773,24.112337917688272,26.235615695646338,23.180345055339732,25.098957337884126,26.24869747726115,27.118810471691322,30.802906286231437,31.90989833983212,36.29383085664766,34.11946478780173,31.30880533932817,28.074450305114034,26.06518014742512,23.55695425220256,20.674668404280393,22.667317005509194,19.70089489591983,24.314053194471818,26.095326820657466,30.95296308074177,30.128527188684703,34.08064715342753,35.86788359115975,36.48937606042548,33.42627217202141,29.92344374135661,27.448479608594248,27.725690953800278,27.366416643961458,30.37170372551116,32.967325526190876,37.626221665123815,36.543084594951544,33.68175129362246,36.652602415815565,34.811057741164674,31.706598938329563,30.167290949109397,28.911862130022072,25.465810328633278,25.558736707633102,24.284197559399527,27.227839811785316,25.874541067316276,28.645251835033186,29.962036672916767,29.21766125247281,29.63237652604602,31.629434869478438,30.9346929416822,32.036108018647134,35.41520938059411,34.112656729985986,38.49117240353997,38.81370140936432,36.7241637548664,38.05676251269191,39.70438767345314,36.2869743139237,33.530706534693145,33.42678684196922,32.49269133576399,35.861762487355485,36.67570729135988,37.67032037668832,37.98467087054054,37.00108202746612,41.57356774876027,41.79973316633739,42.00339584905594,40.724103202486596,36.31404262713493,40.5394225573028,43.14713099283213,41.117919829154744,45.0816067824619,44.729479311370305,49.10675137809338,46.51651505566204,47.829886202007884,47.372412699200176,44.22567291200215,42.41259344764464,39.58406638004257,39.115920756211864,38.36279624707624,33.453792905335035,33.568978240739916,29.947258740011144,28.61710455220132,29.45238929964449,27.720901815475827,24.751529398508364,24.44598913998401,25.68591541608982,21.6686105362999,18.899793566805894,21.57005351823589,22.32719398553852,16.33657217588455,16.5941153311016,18.58819152717176,15.62904854584544,12.189997854355601,15.596732783112047,16.65287173227477,20.812909003434765,22.79521888696352,23.377295130242146,25.582119036730763,30.718318267500692,32.76776388304393,35.86809407600062,36.78566180383196,36.64816181255466,39.158595099369,37.259905397656155,41.60230029944675,39.88931284067882,34.82022296980259,38.321661510716304,41.63229871818876,37.68796458434039,36.12242744290043,39.86062020282252,39.4465118208875,34.99202612478988,35.44008417012019,31.467793322197668,34.27493934932096,36.43537769955313,34.28427185109698,36.40407057003004,37.66793374665654,35.807456336422995,32.42632932446624,32.494332851028965,32.88876055241135,29.032365455347094,26.993405497262913,27.79700741280577,25.59892510387064,22.555904304003423,26.290488059440914,25.83269302816864,21.05421848462483,22.410649273560015,26.209312880039096,25.972161160870385,29.57889137701406,29.86113466075303,33.50766821209231,30.898997398394314,26.34429331021772,30.955322631063257,31.750301589532064,28.364517695050885,28.51923633187217,34.074588519194315,32.101662700104704,27.739503054950816,31.222904050846964,35.15990445181165,32.57084704652291,29.341069031479616,24.714916698204362,28.347025913634674,24.176619954179667,23.25535019700573,18.600988990630803,18.51714704285714,14.18098051904342,14.795631771846988,17.884962009221727,21.438124119043394,22.872252177631644,23.512029023305466,21.31119216795433,24.953856559490397,21.95438324937212,18.949262582205215,22.894349060905142,23.165549356315488,23.736500524687152,19.32938561765129,17.657968726240274,18.735806628981596,16.98644892025919,12.658252699929562,14.699910337777688,16.73887835259324,17.436860004098335,19.229012631803776,21.239079360123082],[11.477012121725338,12.984613938356755,17.091117473130712,14.753612693169806,20.72684389028636,18.015339900996103,21.046701235021118,23.763759995395148,22.274633647846976,24.96810313626549,26.708904305587684,28.654499032924978,30.314402128141943,28.23981893265721,32.818117041487575,34.78076776687699,34.12530513526587,38.389711134975144,40.79601189999558,43.566912479102065,46.768424065074214,50.58628089370072,51.26159418338445,50.429086198474906,48.058949590145545,43.795122816680625,41.852393868509125,37.999152281478494,38.57224674972777,37.802723706448376,40.139806254913665,39.522863115529816,42.31973409675158,46.371570503052624,44.732413100111835,43.43697691824416,42.430400543534624,43.59987019015875,43.512588853391044,49.38550659121802,46.37368627996794,47.11040866879964,51.438502264708234,51.3175786325002,52.33394377245124,51.352022091916204,55.65114694988075,55.191315159528905,51.15571784535096,55.327585599286046,58.37138165943045,58.749356608053276,60.27717145799759,53.88991920301029,56.995720321251014,60.62113348461702,57.53274723668528,54.70789073335114,58.924341924610744,60.88935748563345,56.399068953685656,57.40696182211388,55.34108234328896,57.276148490949616,54.96889107002406,51.28713386880587,48.174899230506846,44.850208529859756,42.05894463030154,39.2119817012894,38.454111449193995,40.20105362392547,42.16423961163039,46.11372598396591,45.30671482475573,51.456883216484854,50.87519174397917,53.20664043281086,52.514579410046714,54.04355856966238,51.836897107805584,51.91315366715993,49.159702536843085,49.81145631221483,47.312676157898125,45.75789329600935,47.653740687961964,47.76453585657593,47.672877075478844,49.89862831162607,47.43766075111554,49.76542891797384,45.980071079407246,43.613030179458235,38.99708785905283,38.43601126480431,34.285191134246894,37.065039313882664,34.411230969516474,35.170250164728195,38.279271967459124,37.00856887517904,39.942370060453996,37.63665406088688,41.16637717936295,36.5004802087364,38.538129307760826,37.82071955304109,33.40175366793944,33.32979012138558,28.63324390722274,30.268064716370883,26.77852990287547,28.399891259146962,28.78938400063117,29.475792951638752,32.83618711572354,33.723680085949425,37.636811904633994,35.601990569522165,32.54592769587035,29.536168152053435,27.68399967524756,25.689259547937723,23.32915562552497,25.986154403463708,23.893425035251568,28.43615142146114,30.56380176399875,35.38606998750809,34.709687755889426,38.811712158022935,40.32939602219997,40.94023343356525,37.62446056567408,33.879257155596605,31.50118966510097,31.202567326338148,30.277050253170717,33.24872748681751,35.21508441634289,39.90879096616318,38.722379138216596,36.14916064217069,39.32635712121069,37.47920882269901,34.457740506173785,33.1092697184321,32.29380493434231,28.72266209466907,29.310624626069558,27.518888097751674,30.673971983282698,28.715116943947546,31.22898576680279,32.946011219004916,32.15488845662811,33.12450023365527,34.75545052944645,34.69982007699179,35.676382110704594,38.58219236056168,37.243690216910544,41.718226034344916,42.22892543400224,39.92663011990469,41.7082065620797,43.21993541878815,40.00625955579472,37.00866783500828,37.183898778773994,36.01374324325732,39.54569154717542,40.404038721832435,41.277205746751015,41.710161610400085,40.30109265649351,45.129522199580066,45.353932964088344,45.85188462987597,44.545626725391415,40.41905657474352,44.77375450418518,47.35694342678324,45.11115690906314,48.757985644352964,48.05762835490934,52.51216746879922,49.68642943629621,51.34920369572361,51.03684932259612,48.011037484093684,46.42212060890426,43.7633090309549,43.520201737890204,42.94883593901835,38.03784964249099,38.408864536518486,34.88127629764168,33.62287888364833,34.61917196425964,32.88777217809893,29.842130231445527,29.600146711772055,30.905989521942555,26.87612726497249,24.0285037059963,26.716268655091024,27.444151131527505,21.521393442423804,21.64374606599814,23.4533282596404,20.506556038382584,17.126594765824436,20.04441020262964,21.26239876324624,25.233010717220914,27.177538800015228,28.161714909043845,30.28451077889127,35.447813259087596,37.29159927312688,40.620507936356866,41.71109768806335,41.72002944904066,44.30459064915664,42.46819336065059,46.80374414368664,45.017096184995516,39.98397876647038,43.51321961225111,46.750179054819235,42.73204860798443,41.19627969997496,44.884749895166124,44.32525728748042,39.8556260467997,40.28010041460024,36.48380810378883,39.3486701948894,41.59346661760982,39.499175520155134,41.577078404895076,42.7954639048194,40.85990692430524,37.57202034120837,37.6093373411809,37.85085806293389,34.02892466475787,32.1082946075699,32.696736218957064,30.368140431600494,27.5294723545599,31.16577501176323,30.43033051327563,25.611831109635006,27.121220515480054,30.81803254000057,30.804666930616506,34.526033713791215,34.975512068003056,38.610010834966985,35.848526983678376,31.444656515511475,36.114441806723995,36.76222152783494,33.32579984727338,33.59485273757841,39.07467988004704,36.850712274661745,32.53177192258093,36.099108254887334,39.90260278743033,37.05590468239645,33.810965377357974,29.14882011475631,32.34803401140438,27.93276446514674,27.241189603427184,22.727445089432994,23.249951763904228,19.119753307509086,19.03950620807254,22.267912274472266,25.596750354186728,27.29684322781148,28.364549267034,26.15106746441503,29.848004907598778,26.58618473234039,23.929127614137045,27.813530682933443,28.155656184964037,28.355524851431856,24.01673316032691,22.62006349975154,23.269709943340942,21.212306046271916,17.411747312789547,19.287226902882605,20.69596192759023,21.093809544926017,22.56613726993087,24.426598086791675],[14.799069005265933,16.193388595184157,19.944292529414362,16.839577149910994,22.603371852755817,19.605042913192438,22.050203905087475,24.74714942270145,22.539272649486694,24.743363374978316,26.15266350391619,28.444819632097307,30.089076168048614,27.468447727413455,31.955863594126303,34.22072024980818,33.53650421773545,37.550426462275915,39.739430238897036,42.831078192429594,45.829182379712094,49.84724205389046,50.29359668012168,49.47246323685385,47.34924963938117,42.978892023326935,41.35443319092753,37.50644012701619,38.10996512404064,37.57004957722508,39.346170427509016,39.275012391038935,41.901155963243106,45.795723052608025,44.372141610215095,42.966775127145844,42.38936471579511,43.41124830489938,43.46944894276534,49.55361031555529,46.34130569821583,46.700500587442804,51.086155958436564,51.06594238445811,51.94267869785571,51.13693687058811,55.4085805219861,54.99837306240883,51.22752330069206,55.50632099126791,58.50237563542855,59.00597916991628,60.428823882418435,54.05806527828592,57.27096103202999,60.651250043525614,57.36799031299892,54.60319039832069,58.77755690007534,60.56643603278768,55.86881792849685,56.72377979389662,54.58987243700731,56.28407480294582,54.10478702512769,50.5479555028997,47.044545474345234,43.802099424286105,40.69866010431385,37.824508483459816,36.849801808257546,38.28162643049336,40.51301111693117,44.55344737520672,44.07279903084819,50.20909886230609,49.96757031059282,52.385034952192164,51.944577479343245,53.66254874657421,51.760454347598255,52.031713272741314,49.57168585246834,50.415296807272824,47.78672805061478,46.00370274526318,47.52311405407723,47.72440475785078,47.18453845026957,49.3479137380003,46.59698342551315,48.64064396026831,44.878144189944734,42.69471277558645,38.14486195964352,37.34575378770571,33.251669388362934,36.57767322449367,34.23107630761082,35.41759931205553,38.49451857553841,37.83895587205672,40.56759719501585,38.77977902509987,42.4965602992157,38.00038188364469,40.40508045115737,39.82900617669603,35.52654099456992,35.23405679416179,30.449173862711323,31.530067058997748,27.697840425974373,29.012290559792895,28.755587542791787,29.298760837239314,32.338142862945936,33.09230815074632,36.56809584311092,34.63799837151392,31.45021356667257,28.65449705420752,26.993660862714766,25.421538379373224,23.523617989599405,26.698385564425664,25.42420665502791,29.82880043009958,32.303312831653436,37.023711388814206,36.613499859997475,40.849055376254206,42.05464499051053,42.56715660119238,39.05617620230918,35.0776812475623,32.96054445389116,32.07876790932653,30.69701572284584,33.51751505098294,35.02598648615175,39.654282559841164,38.32037700713029,35.98949227448573,39.27676190498219,37.41759043621155,34.50620752745853,33.3377087705815,32.92736219110813,29.34443734130451,30.43886944008269,28.367508665456267,31.817839393965883,29.67410234834047,31.753203187910614,33.592929073810964,32.61467177454044,34.00866778179825,35.21340967565439,35.68440893396304,36.48840743678461,38.932595340264264,37.60364566253055,42.105426499288136,42.84125427940193,40.471733433268206,42.65256556539541,44.14512340175392,41.189877485684676,37.942806222890916,38.288155195926734,36.82924594140135,40.4063657990402,41.262254880003475,42.0033940170878,42.566603030157275,40.792436218246,45.83674425344872,46.00751954217342,46.78955266209619,45.4592091321186,41.64858207838777,46.12620611353539,48.693060832648314,46.24067118915156,49.53487122690388,48.49865294838094,53.029665915012075,50.07126492129657,52.04914693895385,51.93432755823561,48.991382632357464,47.697721258413736,45.23645278957896,45.247204431945356,44.9577545422461,40.07206419362469,40.74088071859992,37.43157061691944,36.108483397449326,37.4919363571758,35.68444639001649,32.46136023112814,32.55007437121341,34.06063092896843,29.895491042825242,27.056951916421184,30.057938643751285,30.81407409127455,24.82864869803184,25.157078201597855,27.101347802026773,24.008556496562537,20.72692143764566,23.824082581055062,24.920984002193983,29.030241946076902,30.758373114869645,31.751537171456988,33.99642636724769,39.12550813828628,41.06364525206029,44.3073149833511,45.34209753602652,45.22167056387641,47.70497841103783,45.68644827559624,50.02657927717821,48.37341227807746,43.174851908816436,46.56929214643962,49.886846884882814,45.84849972957951,44.13241233067405,47.679266047934036,47.235171825671785,42.77844686677436,42.82767058885467,39.28795784387671,41.96181564785427,44.38813448740888,42.488902032190566,44.44084921366068,45.793187570220034,43.58765061565495,40.38175197290925,40.693518082038324,40.72964990612585,36.76200081701405,35.16027096639904,35.78298370021742,33.333955896956304,30.678301965907366,34.52067455741471,33.71071414332356,28.862747325368463,30.648427256676623,34.39233427591574,34.41182405679267,38.0521463381206,38.32999059459745,42.0537432310828,39.457729695632395,34.92147464844336,39.483223438291155,40.285497218007464,36.863078728771924,36.8822818544152,42.45264048470643,40.3291680273286,35.84848128348217,39.23414094330491,43.18930566147261,40.363750174818406,36.992760815982294,32.269247057398886,35.42400309789898,30.896404501302005,30.587965304919745,25.92231014532651,26.54205076225763,22.33167149886615,21.993188585953423,25.088355603373497,28.359170463404162,29.94664625639809,31.254244144324733,28.6567698393889,32.25639449803154,28.607099534304776,26.395089195634455,30.19745232468477,30.800224812611383,30.55635403489315,26.190874039222344,25.331346814759918,25.72896713149553,23.08055991990711,19.921559656279975,22.109660059575873,23.105263247591694,23.204938592385453,24.383007584987105,26.268408245953324],[17.692405263889924,19.128991278262248,22.64847368710868,19.157156230125384,24.564688463941092,21.045427868618535,22.910072472200003,25.339568709422082,22.465181612685363,24.276022762762967,25.214119981021195,27.684280499660595,29.494103551142434,26.447329546173652,30.67941157306051,33.22749210785068,32.69793112921113,36.44332596893034,38.560394433592265,41.899944037835766,44.74674669158503,48.954165503344186,49.24414027350351,48.5448374969752,46.62595643006025,42.15604843126413,40.800038838903845,36.922199553179084,37.39274622016322,36.947976617209186,38.07079323183014,38.464618446337035,40.82085501187091,44.59162887112972,43.46336239515715,42.07373099004316,41.88343897263916,42.93648505667929,43.228020462782176,49.479828707950965,46.222906250290286,46.155818770749164,50.56328876120014,50.7470620692911,51.5892813469831,51.04150621701138,55.272186027643286,54.79001031947587,51.310137027438685,55.74774031694227,58.58489690909635,59.17259175627987,60.41880587448038,54.06121673897655,57.274720093969,60.422630646379254,57.01958743684999,54.230463584413044,58.29233045145261,60.005214281875084,55.09806854982906,55.7006179011116,53.43382571220611,54.977598477066024,52.99718146435952,49.51544989920565,45.67710712125014,42.44659766763783,39.134912132746386,36.14085851384071,35.04804419541714,36.13836402962586,38.52386156647503,42.69779827325092,42.43429922857163,48.488480710706355,48.63276113794707,51.02599866107965,50.88146456972588,52.843967329885615,51.201789101689535,51.75113496277539,49.504170796387896,50.622565301981886,47.97008132174727,45.88420629174405,47.04364063292753,47.19263240568894,46.27831599659999,48.22630103036609,45.23418822494127,46.949593008970005,43.191018080438496,41.136720089498816,36.7113214113902,35.61747714320294,31.654953214924262,35.433830981952894,33.39338978078071,34.8794352420295,38.03272413444442,37.97552674672241,40.596633900228944,39.35228280535257,43.34651145975582,39.08198661953679,41.809991017054074,41.49186636726137,37.33875934800523,36.716613303165175,31.9384522554096,32.53576137919468,28.38895635818146,29.556946827719248,28.631684595336537,29.202737223444707,31.854224701545146,32.65242107278103,35.56891513851892,33.58883542550059,30.370501237479594,27.76591383838874,26.53002603065397,25.322511994927726,23.802608400011664,27.52354693169965,26.879816064385924,31.145494802892944,33.90315743349205,38.435927059958914,38.44156728971471,42.714812908205715,43.69888668980896,43.965663411601945,40.443466415561915,36.26376750396208,34.57729507334216,33.17212670885287,31.447274728526075,33.980975496506744,35.19832221093856,39.66153964412174,38.059240754312626,35.929560404276366,39.217937873233126,37.21576373477688,34.47207007917998,33.33728864376094,33.26359970144975,29.617306028709763,31.086882958701043,28.636982255563616,32.23606694845371,29.816010478146225,31.481744100629363,33.51194598031729,32.47113099110883,34.31457911028544,35.17570106972429,36.2502119926961,37.07094702179816,39.032621314678245,37.92855965150448,42.36423229981406,43.463457215782746,41.21795647635287,43.729548724329135,45.329127773697685,42.64519782997866,39.17070010704594,39.5574584768618,37.76099009041075,41.21171609461599,41.934922583725964,42.43703654549552,43.003502386425424,40.83894700445127,46.01324547279695,46.267829358501515,47.31353069520903,46.1277849913404,42.56804550592187,47.237554606415344,49.84937469244805,47.25190558586506,50.17768496933168,48.80498658519322,53.46761419489865,50.527717480169215,52.78059487605804,52.913367050323885,49.98896800413406,49.03293024539133,46.75477924757237,46.97770544082049,46.974906858402576,42.13600944027479,42.99934960012004,39.91610616242023,38.38616031968736,40.10505165595744,38.09466827438521,34.78909239223576,35.30579827561701,36.869544065555964,32.530295886304955,29.955786213102193,33.15518479013085,33.71608521575225,27.77221857384624,28.405682710112334,30.362811907117738,27.01502799726307,24.005010010837477,27.359146654691386,28.470580598234186,32.562615580386776,34.38656599667448,35.214343539940174,37.477026376321945,42.60918664216142,44.57497101851375,47.76055372303922,48.61477208929958,48.371098152088145,50.70568418908979,48.47822274920752,52.8809978042004,51.44649013649772,46.114935332802304,49.331817491020466,52.82637027067316,48.85263912720631,46.93505437241067,50.36222527925818,50.16695534276914,45.74061779021663,45.38682125243381,42.01063922392126,44.332411956610606,46.87965169080404,45.08472172471215,46.80465375591985,48.19247531088308,45.70422125197767,42.68967908591659,43.19019356399576,42.92440911141703,38.88239755972301,37.653707188571815,38.19062558187006,35.58924246973334,33.22235139328178,37.2481819493372,36.281823849747916,31.43101536756776,33.59579472516247,37.37278992806627,37.5155693698272,41.05140010691037,41.17239683589212,45.03455886700853,42.65264713597071,38.03945718374043,42.51304351277742,43.549859451314006,40.18754569606658,40.00933171312914,45.686220480991054,43.77296012390499,39.185020948113234,42.3862563952562,46.52434685276274,43.82744714745168,40.37797602695124,35.62614491830369,38.89021947210624,34.35023082091178,34.22394623164252,29.429499172449525,29.902867295099906,25.547522169803642,25.294692520860625,28.229614902643306,31.530103287748386,32.902555118776384,34.2171944529727,31.19618578960627,34.583060628129004,30.5738863904388,28.635682400900535,32.16358034896635,32.91907582631721,32.17450844951669,27.94793793729111,27.55459488589513,27.561475344015506,24.49101181746659,22.035997917633036,24.3407553132504,24.8217324858768,24.635973007141356,25.49987133746885,27.359881225922678],[21.35375358856876,22.43964797617451,25.482705139564843,21.385527641853354,26.434066466368005,23.204201728747552,24.476005343140596,27.03670552710405,23.708232612636056,24.763620412815243,25.496705515652977,28.408484846920622,29.817766886133654,26.234575522063814,30.37321874815823,33.13722152198713,32.35358647518956,35.73535214081828,37.399456082130726,41.056629862137704,43.583814862430806,47.920372974334995,47.90712079017966,47.11783029712731,45.51429461963562,41.02255364107367,40.06341769950084,36.33551139721931,37.01053043856869,36.97421173139969,37.64852557240666,38.67512356318838,40.95727452667867,44.425763401929814,43.404917419467964,41.7681022750885,42.045699021899196,42.70283879068808,43.023671967904654,49.39600534129885,45.844158025725044,45.46811243102241,49.89023905546182,50.05915784012139,50.653208365231855,50.208175157065504,54.364755168028296,54.047276440250386,50.84589207624318,55.27508327959764,58.133324699543074,58.877302229224455,60.08133314750303,53.82565840144443,57.21153844879832,60.07221895115188,56.44762046448052,53.85039394040394,57.893908505118226,59.30337438785627,54.26613574471637,54.83339486255898,52.616849690603665,53.79888521647351,51.88160214353795,48.631945689702974,44.41966836000285,41.42212286674604,37.7486331680622,34.926147380924014,33.51572775934207,34.28373858606028,37.03495493570865,41.149438710582146,41.357622331828765,47.3753744203371,47.7750310018169,50.362384144580886,50.392179003066246,52.42354073860748,51.15290774019615,51.7669229148409,49.936920759890484,51.1073761760416,48.255880610159046,46.08850149316258,46.85103407591299,47.26762816432509,45.85197708143756,47.9163511303789,44.64088722634184,46.11995640245021,42.49356038728978,40.75494271417565,36.431060090329986,35.24068998538959,31.364859956425462,35.679655156662115,34.01864163451985,36.072460528441546,38.87208396394669,39.39502985317325,41.59546938699539,40.808536916107386,44.73804922843558,40.647967892034806,43.68379403100199,43.351542381490546,39.35230372110259,38.693248631430954,33.87580209499692,33.910870946657305,29.6296987338889,30.285147241542106,28.833225903181425,29.05109152274684,31.33154464824049,31.787838638314387,34.275843935072636,32.63336114021402,29.291194825098206,27.063776604884055,25.85797615627277,25.216987212431324,24.33958853147461,28.260603757742018,28.524797194022366,32.485747471640906,35.50069894812544,39.91045042411938,39.99496326060466,44.39080769060369,44.990197540584205,45.31104732667875,41.504758529252925,37.19726487440192,35.63919648951807,33.712387484610105,31.540392000330602,33.94822167301513,34.54139871490303,38.89184569692227,37.29429683826181,35.505219888179454,38.90824605354167,37.092156242483014,34.48380292923985,33.72901570685916,34.112604813056606,30.690499348470393,32.70449912897484,30.303119780556035,34.218373515633026,31.97851572048803,33.11656622594312,35.009989662886376,33.63444048187501,35.73128328495191,36.05658461502372,37.454230368266664,37.86246498355721,39.36795968908973,38.07009041338623,42.50908826544833,43.65628822562689,41.22890405868657,44.11612350190648,45.56602959911178,43.16746991517438,39.52339363747003,40.158568977592346,38.186578849996316,41.749026145180885,42.58643844984766,43.076043925170026,43.902032628020386,41.495722640746756,46.85479176059119,46.875417163652436,48.18430480538982,46.802625567913125,43.67778480590882,48.286885529172935,50.775652398827695,47.9707025026126,50.53486519904827,48.87330498783662,53.47768233908385,50.31711257963795,52.868758150107226,53.140991475376374,50.39542376772352,49.6935058243743,47.648697117796836,48.13823014477939,48.39231927876971,43.63664025976907,44.84281352913386,41.99732669830068,40.57100322417991,42.65202890053522,40.745108487561595,37.2465110881172,37.92738845383309,39.80360204960805,35.464780498909484,32.679596968825365,36.1979692217258,37.03894379381426,31.000760080103564,31.681998792271166,33.892471629621575,30.604951077679495,27.481156098553175,30.919575105982695,31.76354190073825,36.15178463604014,37.46629729364725,38.38988579310887,40.877830549860164,45.912943480959456,48.089597798718245,51.10023273390698,51.98785070845035,51.57079659045289,53.83045153639745,51.450277244639736,55.76411812622037,54.394577655921424,48.891730345102516,51.98844057885701,55.450764734718376,51.41288399743829,49.34665142101962,52.58622563815775,52.40644256675212,48.01861115076011,47.32610049790593,44.30513061394149,46.56983949218311,49.31616384765257,47.82415653817292,49.53535209894858,51.173823415146344,48.47646194549625,45.425422307503666,46.2970510312243,45.995130691145675,41.77091840830039,40.76142939232419,41.524283241080276,38.92409526399686,36.56966543963573,40.77262697538322,39.92588476351935,35.085410364746856,37.2785192090568,41.11259674078526,41.11343697361629,44.555782230766006,44.459275575788226,48.32075584327836,46.08882046492421,41.28477189000731,45.58806754529908,46.7079845285059,43.33875405186424,42.852470743551784,48.57081971373422,46.70929518148316,41.93514576031432,44.92249307563086,49.174385993627205,46.47024010335905,42.88291223408692,38.09995419440743,41.24046236852594,36.61442814790738,36.95772012764302,32.038103700093316,32.70056571881867,28.39675350062591,27.747404883753212,30.509094681671137,33.648500736442955,34.937516907762,36.58387914128728,33.334836975169125,36.65985359952104,32.42346819878792,31.06736074948934,34.65312187769775,35.74000924571038,34.765543498416434,30.42956561083632,30.535036398260363,30.59759519809672,27.005223725499967,25.01375443373482,27.715604077184203,28.13114873526065,27.76076473085323,28.41008425001866,30.32464539502728],[21.614599003947678,22.764641000406574,25.563001254912297,21.520370569449646,26.007039932903464,21.890309157614173,22.62058668041893,24.586908616545443,20.771627886488368,21.709057016963925,21.900171850809674,24.687341020981467,26.514122670176274,22.86856692060733,26.614610213055048,29.524615107390055,29.19526870494248,32.46054236174148,34.47644698008715,38.10267007870932,40.72435086799205,45.15585999790954,45.26388452885242,44.80600150158678,43.15609271182045,38.5898879326346,37.61359832940719,33.73620793727003,33.9709671544618,33.700573746597996,33.857548155243016,34.98254331968963,36.96647035662504,40.45524286115515,39.72164972476356,38.32725162732043,38.738734628055866,39.78823856346503,40.4394140749239,46.86402488126093,43.61468043520934,42.89099590220732,47.27692116756309,47.801251051255534,48.64646017182743,48.538127301993356,52.670604494795946,52.00476567667895,49.00245368463448,53.68071482935377,56.19381364485286,56.88918029961659,57.829512391830995,51.53995960718719,54.70553468855587,57.47461345320266,53.93810656822334,51.1168258042988,54.96707115942334,56.57480969024677,51.39859126784907,51.62467857560467,49.18670513497673,50.52669196041939,48.8423868694276,45.47789196187728,41.22676333984415,38.02827737240868,34.491398221278004,31.354392362444237,30.139272094805392,30.790726074697815,33.31448594966608,37.62553983987672,37.63569119664189,43.5381230420453,44.18076575617333,46.544098034992345,46.796090402000154,49.07723812894805,47.84448060381075,48.791634528705345,46.92344367365789,48.44081019265264,45.773901183030354,43.24481799645153,43.833028571303814,43.93110057845866,42.45285671822154,44.118163294355625,40.803931236858645,42.08102980422467,38.38280946036711,36.57535161105402,32.36358849865213,30.939045634348997,27.194961766122436,31.623837405723794,30.12956005783115,32.2422508918715,35.21842424311416,36.1566376142993,38.41282905786317,38.08405155295579,42.38624513657929,38.58876402935276,41.84632408305205,41.93927786569122,38.14170280579265,36.99784558429344,32.33550292486405,32.041141299043055,27.519618260477984,28.365469240901767,26.380092058067266,27.00911746724353,28.959836724870343,29.902964248105526,31.87844793989174,29.77752868389205,26.620798505250185,24.355933118225867,23.91802845827903,23.295531535226818,22.442747875647473,26.896909560525327,27.346176225188593,31.20288575002799,34.37325981963124,38.47039693629901,39.20815866751003,43.469958190551495,44.04094656184339,43.86585403531897,40.39459387557139,35.959391098688556,35.1009693880198,32.85854532951145,30.67216759173848,32.60576564646527,33.46125457045727,37.528936671685955,35.454192849845036,33.64088711467045,36.82497030029239,34.59909963597268,32.18934692561746,31.134326027814776,31.62920621078652,28.043663488486118,30.172994389852647,27.330713281611253,31.21002065061888,28.733327414631525,29.502044222099247,31.575959976028354,30.29555993462851,32.777118798568964,32.96349649974077,34.95559762001972,35.72151956537657,36.85157455825608,36.15591384446948,40.3851557856281,42.09451361580335,40.1777845619363,43.1610982605989,44.99604343137796,42.81185284762367,39.013873211382254,39.39074401439998,37.036478001099006,40.15854620761506,40.63062517355066,40.73340248705778,41.32586510481715,38.57928264498645,43.90347688148939,44.2337525782995,45.70079703862792,44.74634545808356,41.676666341845056,46.58616658180986,49.24102321461198,46.438548589467935,48.712407661598384,46.81360859349783,51.65470491115113,48.842830557959935,51.49307694375975,52.05507530407727,49.160150639807036,48.803996728908494,46.86392162027511,47.445754247462745,47.96584163647773,43.284479534464914,44.48319957766681,41.88410426317157,39.999806940273075,42.36306244647553,40.05655551957782,36.61274648032215,37.92228840229373,39.650671601641086,35.08549344927212,32.97050599778597,36.574366886080064,36.91974526977686,31.10041683914591,32.30340843837022,34.425049091776316,30.740316273845878,28.174904653732824,32.07947120028168,33.030100889493035,37.24739601656838,39.02796156402019,39.435276131100174,41.83160027158169,46.87635385764241,49.063443236906906,51.94369695141258,52.404751170181704,51.801728503203115,53.78567566129985,51.11180029549677,55.55798235661551,54.588021485187625,48.979752842570434,51.79014718314784,55.60200618597231,51.788390583184366,49.45506901082234,52.594033032489335,52.935046975683015,48.61991411079754,47.432304530148855,44.42230421181586,46.03038139956564,48.803206499045615,47.304073958324636,48.60590867677558,50.17205273578862,47.14905286951509,44.45168634861484,45.456880946081384,44.71626489541966,40.49427532721656,39.98769510071508,40.56864990608884,37.80049172687774,35.88865254976649,40.294023899114684,39.256424296376224,34.49352416007156,37.213640533122536,41.07094641562574,41.25558185745256,44.477180360527335,44.149746372466545,48.21800049299102,46.369873222502044,41.52578257858457,45.694237502587455,47.235516073058676,44.031840028739445,43.33850614011725,49.19898540775661,47.81223250730176,42.98552836864214,45.71681857872778,50.25274734118765,47.92422569758233,44.317492260416785,39.5567221237806,43.149371845358054,38.68879420656154,38.92461979440196,33.83654646771959,33.891157178729884,29.31265836117549,29.299855955913785,31.819609362041852,35.17690361784112,36.019392192222796,37.254461136961844,33.453252647209275,36.354106096445356,31.791666919139406,30.463679771871522,33.47222871905191,34.60006400468516,33.03139381683006,29.061311174621416,29.6215915051876,29.140909632488725,25.272045047802894,24.150478990393857,26.840153000711535,26.641057844956368,25.98223677856127,26.30849134299244,28.19385051115316],[25.738899962178674,27.157998213496516,30.34690225794249,26.36767034867607,31.206085601835493,27.444081912386483,28.372486952248327,30.430420274281268,26.632165294908596,27.44867708294804,27.49709449816125,30.307344139622465,32.14083973212589,28.27893680946172,31.822266154169647,34.87253563242389,34.47417244411729,37.43990800757408,39.067906702922535,42.94919173027302,45.266237694886776,49.790441540778474,49.598881377278865,49.01715439317188,47.69228850406116,43.14455032457926,42.51338601544503,38.79481027034295,39.19093506539045,39.145846633944466,38.89832135774863,40.40318967116266,42.18804733663672,45.514651134198886,44.9863748364447,43.52254073732272,44.21702199993648,45.06830352303217,45.71296925149781,52.17839616843153,48.70351590932635,47.81546484370099,52.19647284438601,52.654118726675314,53.23643663253166,53.115559960420214,57.179180442977355,56.75059968993246,53.914782431526895,58.49034507367349,61.11877645746296,61.93222556651241,62.90318779647714,56.70389786911782,60.00237126198941,62.59074992438329,58.89570822695558,56.24053753649814,60.071740024589324,61.44165326831973,56.18031695052186,56.35084444767734,53.92756148764591,54.952757239024486,53.37309823430833,50.23165281529704,45.644024076674754,42.663717724547624,38.818211651064296,35.81434877223764,34.31688374878283,34.48333593831096,37.366346600900414,41.65281705539699,42.113891994291095,47.86978236780517,48.871265672730324,51.295364986408984,51.7728076403237,54.15480918502862,53.170483095712534,54.18004708432374,52.51936273895772,54.04954590986096,51.28226294524015,48.751833585486025,49.11801595814163,49.336132510848074,47.5493386860618,49.15735714837267,45.64039333705074,46.577760019529435,42.97411840880071,41.371888377005256,37.35728206466496,35.67583524620975,32.16465992072169,36.881959783030595,35.60449357248138,37.7316217137514,40.824905837277896,41.92914767044425,44.17622878082128,43.93538520555658,48.213335089867954,44.39238796906138,47.613612564106205,47.59262152766836,43.72131307236364,42.724053236902165,38.016152956532224,37.78500489090408,33.30367025020346,33.982791735374434,31.929641543221095,32.28566215594285,34.06667816638343,34.63529598453994,36.33271539949059,34.6009654348057,31.36263048773842,29.433636334509576,28.869589835300204,28.59244277006799,28.01446153088221,32.332707901604124,32.88800914183126,36.75197520507618,39.897944648386165,44.09827629450083,44.5801277077717,48.921520639105694,49.438545965306055,49.47355690012644,45.80515379737883,41.390670043909886,40.24122890534231,37.98472605899678,35.60916174624454,37.67869216974409,38.02410712547358,42.09886681114965,40.208270873022684,38.6567772009744,41.956464802145966,39.9382553435143,37.581409178462664,36.75717756036381,37.38860677042131,33.87607919607321,36.02862871246791,33.14500891255865,36.91847357983338,34.15544169364444,35.00310689653556,37.261848922668854,36.05887808869998,38.61613985840296,38.73606692526521,40.78106546354212,41.39332809756417,42.4165520127657,41.503317054621704,45.7735053143105,47.336172212166296,45.121179956261,48.24448942317811,49.809514480892794,47.6466350687208,43.86542684647267,44.485258711380666,42.23952215674754,45.573870671373264,46.20046345401097,46.38164307328796,47.08455747426358,44.28603499252907,49.646053524052746,49.898940085413585,51.433813365170884,50.341577660123875,47.39528227831004,52.204556069150875,54.76589922652005,51.893490413554275,54.10345347843482,52.124673208940905,56.85345423122043,53.7995406516507,56.585639499069615,57.100239744249826,54.36563178718591,53.967513528623876,52.066639856979876,52.686024685599314,53.12932078014917,48.425241225829915,49.67426500776761,46.94317054064275,45.30256390280401,47.483422795376924,45.34297848882221,41.90888753821382,42.858304301691945,44.58287892497141,40.121133169089966,37.68605482848978,41.13338545292835,41.61947719774954,35.72107111164869,36.55857422232683,38.557654272774265,35.05431333389633,32.221770507008,35.66897280950652,36.74425238018684,40.86568267566297,42.58581860102108,43.42597063599176,45.754288500177665,50.86478804241964,52.85328195388051,56.00893096646041,56.76663130363617,56.39816434222981,58.59406775978512,56.14386170793733,60.56271149801887,59.33230930507161,53.84076117837927,56.850234499738775,60.46559544743669,56.51295551632996,54.37182007765228,57.58770062229041,57.58245987712119,53.20893693741017,52.35598251839765,49.337549611273616,51.321356252337246,54.06521079571844,52.50316501851512,53.97885163665823,55.46545824534126,52.624148193245766,49.83235168080967,50.621140587073484,50.01550072249578,45.89025667525868,45.11737467685465,45.583977943727405,42.833046074128035,40.80225848606619,44.983842021201184,43.844814958744365,39.03246001399372,41.54109160105852,45.31652746734377,45.582898362797835,49.02397409740635,48.985029739231834,52.95628581101348,50.77086928718894,46.07943674960142,50.42876874206891,51.65283216128676,48.3263333241879,47.90926151063474,53.661368314396704,51.87220112107485,47.14584321322165,50.132566986824315,54.420467561814036,51.753966042546566,48.1905292352371,43.41174804056465,46.571373318379635,41.94530116580421,42.19672112146038,37.32904157919292,37.9067676561437,33.529322355394704,33.05778541927988,35.82309263707882,38.99693415845081,40.22966350706759,41.77531698727589,38.357701572023025,41.51541717901054,37.109816959930825,35.728054450656515,38.968934340062624,39.97706292434352,38.62120825982927,34.595478853615674,34.826823855278064,34.42308415813333,30.854226568473738,29.30735022313287,31.71633527073284,31.60428460307212,31.0566373708789,31.42057819305829,33.14811624551004],[22.074555389699313,23.811091569524088,27.488308199900445,24.05423144357971,29.368241765349936,25.58439321642095,27.19400887597901,29.309241939938264,26.024310370460135,27.594086595462304,28.009390918413736,30.475238863637824,32.59194865461374,29.2185258670098,33.0520479017863,35.87370198250362,35.572461333505146,38.9865760986177,40.98195025565481,44.57774435454017,47.2152889775809,51.60219133085653,51.6859701355643,51.078327071496844,49.428251266144386,44.89508145610657,43.854271033470326,39.999196640345936,40.340200807536995,39.9609217097274,40.34762601461157,41.184752250146204,43.16301279229229,46.81941456588983,46.07493511212819,44.76908667479872,44.9480950300473,46.07443969846865,46.58306541220713,52.94784980759755,49.6500450778288,49.189566782403155,53.59401112099603,53.948296011094556,54.704073377554096,54.36232884895462,58.52989280460308,58.048766141815356,54.84656603503507,59.36886847721753,62.10276309231677,62.775709592584,63.88148888267549,57.56653697486761,60.77602056051362,63.69914640390114,60.18785263588384,57.39986622665616,61.333628351525114,62.95474690011408,57.85540598633579,58.18452185944648,55.7753785423572,57.13213723453737,55.391837043851886,52.026221085214054,47.81804407374553,44.637838196268625,41.0935158078497,37.98850550700989,36.74515185532934,37.32652453956531,39.91979906964499,44.23415237953781,44.260872312292285,50.14548732427813,50.78778675756289,53.10353370945797,53.320447274716145,55.55601164612081,54.171575019004884,55.007416922638676,52.92935207465,54.30059330734421,51.659332159111074,49.31582884354842,50.144001455423364,50.19931199849607,48.93564925660294,50.57436460768691,47.34365455339279,48.61592943880609,44.87086336881508,42.945998432341284,38.74339212856149,37.23380484979598,33.53307110105187,37.719093832807665,35.98947517791999,37.552691364349606,40.966941277854545,41.376379291627416,44.03396200346466,43.20192324926697,47.446264008113616,43.352957008403735,46.216945579124314,46.078973646195365,41.99428364821471,41.17642006620672,36.45021626759068,36.845152081159924,32.53340432070199,33.64172023992344,32.22936948621804,32.802004474151374,35.07669612386666,35.8355986139703,38.16906788746777,36.222162411100456,33.000741835657706,30.665332024684893,29.810073288944146,28.97419742240096,27.77946951612384,31.802568860748796,31.47367232241193,35.665012606578344,38.533848071481856,42.95708445685156,43.16263320834375,47.43492648556804,48.332576731319115,48.47183546778927,44.96223226039694,40.692769226438706,39.19971110945722,37.521948308288856,35.55731780906781,37.91525886566373,38.789964907822664,43.106682687689684,41.35260067439509,39.45354323999739,42.73966524340818,40.6530253299564,38.076972309690184,36.96974690486047,37.13075291426588,33.42428091832021,35.042404997083565,32.2161115574794,35.71819703292775,32.823253261953965,34.300738995445464,36.65924993608646,35.746380659636294,37.961270188910845,38.64507723376336,40.20894078214892,41.112631969867216,42.70437315604029,41.782179508611605,46.14447060975268,47.485747594300754,45.272086765541445,48.0132441157265,49.60508744868848,47.08703495738024,43.503881841194676,43.97039510149989,42.004305100287645,45.387431316485674,46.02232296897215,46.33963090653335,46.8647431102655,44.397089607748896,49.614047466879654,50.000680382600095,51.231349662322856,50.191224932929806,46.79083519717628,51.579591108266094,54.21578785267171,51.537353721895705,54.20578654447726,52.58545433197193,57.315521379076856,54.35247102001752,56.81795013840577,57.099406431088916,54.227905382508226,53.466236910228915,51.29892635988439,51.631040503926855,51.74044516499105,46.92533578531395,47.849356734997436,44.81191382488049,43.21660955355267,44.95915625804131,42.84506015658194,39.583907360223435,40.18137886412432,41.6449528055683,37.2644650708245,34.83337897498602,37.933512291749985,38.29417654671492,32.45148441491574,33.07329256848609,34.8312857213222,31.411100132329413,28.54476302384216,31.716138350739588,33.021416173954265,36.870476877189596,38.93685737575284,39.86117366747488,41.98113009198863,47.168059338520315,48.92862949026763,52.30048597839595,53.17026755359815,53.04307741729907,55.39985246495777,53.2033759583085,57.66062123221769,56.23700432782012,50.9596948722786,54.17775476085849,57.705313017941656,53.746594956093475,51.8430984409823,55.27168283206967,55.07842182332874,50.64933461396163,50.288470575669905,46.92578472218949,49.17328045073587,51.71302210044336,49.856334333723865,51.467531553354114,52.72291960717357,50.19319471503546,47.33242141214828,47.70954921965427,47.270369089306485,43.332151050313065,42.19455545375993,42.48259145099939,39.782852439155825,37.620585623671765,41.546534483243306,40.33588063502814,35.50498315750448,37.82281313901285,41.51290210940024,41.875264757472976,45.47290806031129,45.73126766516745,49.62808814696593,47.169940806511114,42.70248768468278,47.25360111934908,48.2517950652328,44.88702281633807,44.84624364669569,50.4949025411599,48.4959591707956,43.98655516362191,47.261327067410384,51.32963672923954,48.54513323919569,45.133425131693805,40.39005628672544,43.49944011812735,38.90661049410055,38.744030368892545,34.07963938187323,34.68881585330479,30.37881767583441,30.064938145186613,33.060724412208565,36.29930377077436,37.759609656746164,39.12670118941011,36.106204698884405,39.45075487987337,35.355816923577656,33.42686171841331,36.775532952704076,37.45192590341166,36.48412910422403,32.461887866752136,32.09424285442331,31.778037878802788,28.782675485499176,26.58001324480352,28.592991859111542,28.684795038275325,28.376275017458546,29.02275873602679,30.691651761951956],[23.086479498279317,24.534749945490184,28.064739298265533,24.379492910557673,29.804776864787296,26.736934341515212,28.409222371138195,30.958198553904932,27.82381222594051,29.150235365512735,29.86431407472377,32.60690605612692,34.238777443875705,30.729453220341387,34.80977118144171,37.59133044556051,36.87893692220814,40.25641838529332,41.8764288332342,45.57055524793685,48.05015915852653,52.394893922444226,52.316864163736525,51.4615242431015,49.92718071349474,45.45275757659364,44.536440480424886,40.83862807860013,41.54024855965694,41.46301073119,42.08991874069043,43.06912621665212,45.26631994367019,48.7948393594757,47.851087653665,46.2755989354953,46.51531718630226,47.220916871593246,47.509822353586785,53.86325165886559,50.27438440453384,49.95571655224734,54.379245328741916,54.48601920598659,55.00143722216968,54.469058386071865,58.618276703904804,58.41545809643647,55.1727690606617,59.517727741948846,62.47936154384829,63.23163743457716,64.50112343793742,58.253251874271406,61.66552991936156,64.55510209301387,60.91836263738475,58.351917037305114,62.41279439719866,63.797260618777415,58.76655054573102,59.336306950111286,57.11053270716252,58.249242797899235,56.35389304016679,53.138868062846726,48.86700307169522,45.8987148898003,42.16842590173106,39.34267001929679,37.88393592798038,38.492473859359286,41.328568799498754,45.47111325090301,45.761319537237895,51.73052340840942,52.24173921170584,54.79279759460169,54.88282979533863,56.94506494968423,55.65572936855333,56.26679820978863,54.368887921290295,55.50684354762696,52.67049364208728,50.55520914875606,51.37083852226282,51.75209524390072,50.36870537785901,52.35668413825861,49.06909853786823,50.446460504044346,46.800235272065635,45.03251881957485,40.76065772509362,39.432366050779954,35.63398998882235,39.92230885463017,38.21053253576009,40.0024437740999,43.08119652009944,43.42838801251888,45.84228589710518,44.875675204352085,48.81282276119363,44.60526364180529,47.44652351331306,47.0153312119705,42.88471883437351,42.37577185634827,37.5516692341545,37.91711891444855,33.733605934931276,34.51530205630277,33.263542142827355,33.458059242469055,35.81012522996227,36.159691293696596,38.689767958789965,37.14062276512429,33.779417800286595,31.585468127492813,30.27340810153133,29.605441923508252,28.620889132044805,32.3515428440287,32.256186716013566,36.355899065461465,39.210777374396926,43.75990793785517,43.578263290940875,47.965691644605776,48.720998806322584,49.201393874467925,45.379734659759144,41.16611413119088,39.2970910471291,37.640277207322654,35.55315922455302,38.13959285648534,38.6575154083032,43.08757881663575,41.64288258690371,39.870224642958235,43.31440380445535,41.563851639552695,38.913476542208535,38.13960003971372,38.39696105396573,34.90793747568779,36.67964073261407,34.212964975703414,37.90624219856911,35.357225037392936,36.816903180311925,38.9240891997151,37.76604261861666,39.80051062772523,40.34639026216537,41.61930253184009,42.111966121435835,43.78044995124309,42.399484879852956,46.88090119324593,47.86693984557136,45.283240412518296,48.074037442115376,49.36708871021667,46.82762288885224,43.302843906634116,44.01091952924753,42.23318451008994,45.91612148059382,46.828098506208526,47.39856759731886,48.183613848474195,45.86653588469849,51.17450143087191,51.244822644072556,52.46421647246938,51.058613321011656,47.800414330946914,52.34894860040308,54.819356871100645,52.069998514199035,54.79109992952671,53.23296047804346,57.77479628473422,54.518608771624606,57.011574760316236,57.15294243011981,54.446564350300704,53.55810809360488,51.41860399774902,51.791676089043634,51.83432525009581,47.02751366358017,48.092231814678016,45.01824562564463,43.76549863965211,45.489558021790145,43.694944209823646,40.32010282358094,40.59513557160805,42.302991107243194,38.093734706008256,35.15115344491485,38.3388225313541,39.17265460373639,33.17349606675333,33.492806799716114,35.44902843104551,32.347928122279775,29.081773939594832,32.00049106015762,33.065615916324525,37.177300828820364,38.64865272932757,39.921605876677724,42.21911948759891,47.318363418717134,49.20345125624668,52.527027853328235,53.67651587316501,53.56033872609614,56.04211730753111,53.95541909844128,58.26543830291108,56.62438545460843,51.340672506027715,54.66890700460925,57.94809088094832,53.83043636579442,52.02911667989445,55.42150770925272,54.913556323765825,50.47531660069688,50.27137030878525,47.07336078064126,49.698956752649536,52.30548815087264,50.61225981312864,52.48652037680238,53.930354835249744,51.51364991968931,48.39792600217496,48.89546125981431,48.74365970563976,44.7082323640679,43.35753917201373,43.91793466040704,41.35467867657855,38.89588431738967,42.78562141595925,41.81192064506135,36.96014379686188,38.91788211410043,42.620415948607906,42.74885776167301,46.409533076636635,46.676761261273384,50.42250015544275,47.82153806567772,43.27973712995387,47.79831469554578,48.57591340297709,45.119858440378394,45.040101205050725,50.59856100368786,48.349009518655684,43.79617583016245,47.1041095311923,51.04043397391195,48.04315698809998,44.592953997216476,39.85058345668351,42.62427884804953,37.92817491078245,38.04676295182847,33.453219994595045,34.501226224780105,30.42118030776388,29.55496703147479,32.58380672111416,35.5942645859766,37.269111524527524,39.014497290719326,36.2532678876543,39.807006435956644,35.8488321077154,34.1773249952975,37.90362228394574,38.72349633566391,38.04496737390693,33.74237828398034,33.341921297844635,33.43948739791838,30.35498209098072,27.84136999065353,30.09480937367242,30.59942457279768,30.387800571151956,31.152171872661384,32.904082943363456],[18.216186220975132,19.917448440205007,23.91390851112281,20.995360429618877,26.82441118864749,23.89542689430682,26.3241703317193,28.919029521960482,26.52889582182208,28.634595033994064,29.794688000495725,32.113271138057506,33.93261583740172,31.076532108369932,35.41695061500714,37.86078117182239,37.2374408682949,41.08398998277933,43.11933404227917,46.412071838961495,49.25839272640755,53.38842890348544,53.663114186236946,52.803911873468515,50.870655866445375,46.46241274400927,45.05020059282706,41.239341532975466,41.86589042055991,41.41232024038196,42.81750212088972,43.006695053403256,45.448713122549634,49.299895418523946,48.06880167285998,46.66949761908543,46.293139962388686,47.288253990023115,47.406315821856495,53.563468154755036,50.23792261521853,50.436814853623794,54.84341238272139,54.8343351254144,55.58036175131543,54.80342095018228,59.04630834255817,58.74664850783877,55.08870044061419,59.3460557083894,62.38823965589263,62.959183885909844,64.3750273505827,58.03160706967259,61.305988670331544,64.58008990964053,61.1984137592263,58.487652235073256,62.64100534489542,64.32510694792103,59.52879007963913,60.295313180584486,58.11286739845898,59.65111737176988,57.5651718031879,54.10187752449894,50.34353871366728,47.165841211762945,43.848813985755086,40.94945148903799,39.8159664844022,40.93229952726451,43.38147539044198,47.50319241942517,47.26367505345957,53.3447021605083,53.38463645241625,55.806398219569616,55.55504337064124,57.40219355268675,55.64392428791341,56.02116307856934,53.65559799229553,54.57626635113368,51.91261793491292,50.05406092748808,51.41485139851468,51.62051735661447,50.875525284606155,52.9235962885811,50.01359410185778,51.81182804868015,48.04660722703133,45.93955842952475,41.485688954271325,40.43344755164697,36.455433453478896,40.052891553893126,37.84990224596347,39.02840063195834,42.31624102481359,41.838107652391585,44.63469753233248,42.97440656887986,46.77616434614982,42.300450545062155,44.69169732940401,44.11125988019383,39.78737818653972,39.515552343193264,34.74528245529818,35.83116978990491,31.956915336149695,33.20668301682428,32.754368442329515,33.201447195307026,36.082464912512606,36.680179946656715,39.91142752021827,38.111414067935705,34.84691218763935,32.223733966816305,30.62666105863552,29.306780216136243,27.62297446905031,30.87492957392353,29.72740921777128,34.11347927151562,36.584725618065065,41.323276070249776,40.82476783864656,45.0744636083188,46.26768345794594,46.855909925093165,43.27545513438922,39.29661704247333,37.07434374325602,36.14230203503234,34.611952440982634,37.463733840038124,38.65850725580808,43.287030532008195,41.99296019166208,39.818742263845806,43.1762089118205,41.36344693277572,38.50111898657189,37.41391444412739,37.11719540212273,33.50644621149434,34.63582760933173,32.377997791457354,35.72775528576658,33.23262031155884,35.346533354368496,37.4243256268839,36.55429099396064,38.11053414965197,39.27450209310112,39.92139503564723,40.71858614578892,43.03650869921688,41.66823206169923,46.18772603910227,46.913898931394236,44.40334541258535,46.69037219965656,48.04104734971754,45.11067675325437,41.86488016007965,42.34621433332286,40.91314015826106,44.57841284475811,45.48023868269314,46.20808577413879,46.789089810751776,44.907876604904416,49.98740764076645,50.185437894224144,51.03117918922498,49.68997962369917,45.94012222275789,50.407226373522455,52.943204408235395,50.4535791958928,53.68864365372712,52.572569015127975,57.07990605217336,53.997714821547454,56.07307503238625,55.94982463332729,53.08817441139441,51.788676909528604,49.35296855461846,49.381046165228284,49.04097761330876,44.15535869562764,44.82318991820008,41.43346274521016,40.23737393496393,41.452329265663195,39.717461832661854,36.56965897135025,36.437756711794506,37.850160891174,33.78771978692544,30.864599999885723,33.634445138053344,34.36472857252983,28.4741735926395,28.5354460962992,30.245749914633834,27.304591226532757,23.985290375920194,26.585041881071525,27.865586191993643,31.698846815586123,33.520973706915264,34.83609741979918,36.917776749884936,42.07247713882094,43.75204015743097,47.25302321438008,48.496050384111896,48.60669910738499,51.238283455662675,49.42161342369451,53.745270936071435,51.915371252769816,46.878020241258106,50.4043136941974,53.582702543955904,49.48986489654509,47.94540982343031,51.552411697147676,50.874847129911885,46.402635489971736,46.72768636406428,43.156967944721785,46.040401133753406,48.40098580536265,46.40696230591973,48.429199834361846,49.64301174345861,47.58682423823145,44.39215455260319,44.46838957328857,44.54273925337256,40.72153849961708,38.96398451380047,39.39225383804915,36.943146285555066,34.30649480537206,37.89834395654262,36.93090960176056,32.10731740796773,33.772029562412825,37.37654001995998,37.545026250750816,41.33652189934888,41.888416486711165,45.52381645170406,42.6656939070086,38.36022536078497,43.05183042594392,43.59902289859218,40.124277279072516,40.430999485732286,45.85709364099597,43.43100742099003,39.125086866652694,42.71402548750068,46.418498732228784,43.34976169996613,40.07943678818912,35.40512710722652,38.18307562527907,33.5826574671127,33.19174745377189,28.828123480468207,29.836655095914765,25.867270821488788,25.244803528664907,28.493650824825654,31.58284655005916,33.46077522609443,34.93126835250864,32.645597609145135,36.356673269052024,32.825803943790184,30.552242049130232,34.37372406236656,34.83222673324665,34.655286764978605,30.38390360082131,29.307859037172193,29.606078219352504,27.221495546471264,23.957066488865024,25.775159435526767,26.644624121831885,26.760365080709754,27.87233069715662,29.574921904752436],[18.681731774538783,19.33631297838983,22.31766195797809,18.30682576547741,23.785737322566632,21.800175730214598,23.722902472677625,26.957154437170228,24.49597184653694,25.828045731717985,27.3737857147937,30.281168919785177,31.12806152912455,27.97221270887662,32.63694551231993,35.014097223750376,33.727560287875264,37.44514415227014,38.94486513177519,42.34608126775849,44.96863578721901,49.02819097735635,49.11098327654706,47.98250740639392,46.18178356844668,41.85572094148481,40.62630691693265,37.04388337924522,38.16051897673073,38.22753517932815,39.92077895933039,40.45565562915571,43.245736082548966,46.78587937302669,45.23863835553572,43.380924154910545,43.21073046361883,43.51297607610364,43.371115223319066,49.532871058049274,45.8116290178989,46.092190502321955,50.5069768343869,50.229468003925156,50.69475261981639,49.773065355146976,53.97810720717205,53.95560509747731,50.344017524404556,54.44593271420025,57.67994570026644,58.3770511970384,59.92781569440051,53.697477402140905,57.23944442182421,60.37406733070463,56.80635709652968,54.398743876061104,58.68727742852738,60.02431572168958,55.30490003234594,56.37719046889112,54.464690212213625,55.695422769598025,53.4007489800641,50.15338309084524,46.341376148411015,43.46951362132588,39.94745544813654,37.47280445145716,36.08186759805986,37.35472445884514,40.04617637991393,43.867652063809516,43.953602568530826,50.15001211581535,49.93920373543931,52.72826702564062,52.27851516921553,53.868904944604246,52.33341580033084,52.427299970494595,50.46858407711813,51.12170118806435,48.14376802725889,46.52579443228169,47.733265592359814,48.460890586889775,47.43436488872192,50.03527339670967,47.029728841518335,49.02140907858048,45.451953498959504,43.647833675600204,39.10127503718118,38.41896705532709,34.28963345259781,38.10755868972231,36.07255466746531,37.942994408228245,40.397015570037844,40.16410470562157,42.29390912902782,40.764150690297384,44.11855319026397,39.67115141908821,42.32888408625429,41.45921873736741,37.265606442139706,37.2357388411278,32.33238785533408,32.86533958832145,29.04810154455371,29.59278134086274,29.077775873229275,28.960647949473643,31.812326003475555,31.904839613014182,35.30472451574579,34.007057776732,30.594909845909296,28.20083242403938,26.07750448817243,25.08885985902411,23.914756900167532,26.952917585631905,26.729612513637917,30.755761450992477,33.449952422264026,38.17599255209431,37.4645457218951,41.92154325272017,42.64293992754421,43.53036705831158,39.46846369148373,35.431646480427155,33.05448433861639,31.74075840786023,29.86777685397127,32.83078104880731,33.51773330669809,38.19249764995272,37.172670686489674,35.21005467491196,38.74466531876054,37.36388804729288,34.47900956780329,33.94410233054679,34.0016206644363,30.829295413846236,32.54799883841792,30.87320561623579,34.78350878679311,33.138336053807826,34.723840217710446,36.199440373363515,34.697939102930015,36.12976118765522,36.74428741736656,37.197407622787125,37.24537907797534,39.39649354249439,37.45451546720404,42.08034805744679,42.502868174148574,39.620823156486985,42.15533192124395,43.24319306463949,40.49470385897219,37.15336361900905,37.94007310072296,36.51796732062923,40.486863175504524,41.70954535530769,42.69068673688761,43.72357933224658,41.9036717692091,47.18286257667656,46.851062764204215,47.83569216912256,45.986015624471946,42.679594328627445,46.869863506289065,49.17291891656166,46.47748291281293,49.52977652817738,48.328397769921786,52.63131907034763,49.220774261875576,51.45407176343886,51.315996827572796,48.67239778782197,47.46446397744696,45.22426420642027,45.50578125629385,45.38385857238865,40.579206173854544,41.70160121395258,38.591812631954866,37.6898752713489,39.4200026136114,38.01737482129614,34.50127198362625,34.46505965609536,36.527612188211194,32.53844602014759,29.018570839485452,32.44479673976424,33.93390274430472,27.749782093478096,27.871986693475673,30.2824904243694,27.568348676362994,23.847920947772,26.81841536939014,27.35359658826188,32.028508540090044,32.624571573770375,34.000751481597284,36.65633469056884,41.57071447515746,43.86710228006461,46.837973171234545,48.13354748464004,47.821738038075615,50.31982960634466,48.23752476547277,52.3426934463603,50.5762373342368,45.19867706125377,48.55652113636947,51.61884391353563,47.38200350235289,45.601885256174334,48.925172334356304,48.22432637934265,43.79971730089398,43.644541387867505,40.608509753163126,43.56431440582039,46.24608457547223,44.807727680092064,46.98447546270504,48.762423261958205,46.45376435520779,42.98520580003911,43.793956810233084,44.05524781923698,39.82333503351113,38.26568982010673,39.379781767644666,37.070794019147385,34.17940077682432,38.16723253015479,37.7143459542318,32.89983118506816,34.391335856534454,38.18786676526823,37.83230498424229,41.39074804552859,41.42334453970892,44.99856496927185,42.46691199273855,37.66525316078419,41.98445273974361,42.691692178240565,39.199018280487905,38.832714000759886,44.359404608221205,42.09734836816011,37.37617609209366,40.545741991499064,44.51371908154271,41.5162200113774,37.959943312331546,33.20205491377291,35.95922629238465,31.24859302766751,31.717877843456726,26.951453544887983,28.152793326868732,24.221665242745026,22.92721411135511,25.846818011928807,28.747638835896634,30.431110045255636,32.42785689717074,29.827256416185172,33.556078400686694,29.81823078804249,28.444425655359773,32.64608164868849,33.72192683907653,33.51817272711889,28.79653827562835,28.436899109305845,29.275106325140335,26.01662270835072,23.090997175873355,25.923930824433068,27.207617685013965,27.204785099650376,28.27362120767863,30.287723845660203],[19.63645599671186,20.646109005979582,24.18257668877636,21.074828733578734,26.916965074800405,25.403683397266327,27.960524514944982,31.19889621620796,29.237886071034964,31.028534420968953,32.70532173602706,35.33648440245052,36.3913923169533,33.51364063694241,38.21290996165139,40.48710558340569,39.24735143478229,43.09530272511407,44.628693725497314,47.92865218793879,50.59718424838249,54.56218629820639,54.67824858437798,53.4336462211802,51.58474111184689,47.335107842202596,45.99935123354788,42.45994174899966,43.631899651862526,43.578406735259435,45.52737114029817,45.7661635666228,48.591356287088246,52.27687694703556,50.667008494453704,48.88772840202509,48.46968411757659,48.84227697389668,48.55986733756728,54.587042842827394,50.88662801067403,51.45271099003299,55.845512051703935,55.404027727317725,55.820257350889875,54.670103575167715,58.87569029855646,59.00196241124277,55.1926068660332,59.0980476937264,62.514464976282,63.16378716758948,64.87876988079842,58.663964753970205,62.212898554625305,65.51077732442432,62.014271169249305,59.644594769135146,64.0025587180402,65.370569459885,60.78153641024846,61.98348815664489,60.12176413088869,61.41211622048415,59.03802890454777,55.771502592561134,52.085812954573704,49.211471024336355,45.75225606612328,43.2928798078721,41.932868422627834,43.22272225452691,45.90536559148005,49.72384823068959,49.74812341353388,55.951729819801386,55.65361690578309,58.403811157125695,57.86078469092137,59.360467150433536,57.6523912743591,57.601533989402526,55.444052384277704,55.92024932893502,52.99553280991056,51.59247067493179,53.05122128605905,53.743332780545316,52.96521626027013,55.5774669710619,52.689326618490576,54.751705527274446,51.13656704403475,49.21214699701103,44.642403826345074,43.945397557032784,39.814347938343815,43.39494810058087,41.153167500422256,42.590776011448234,45.31937244016679,44.600798976911776,47.02067830170206,45.02937363252544,48.235051398451084,43.57621645602537,45.81308218253614,44.704894867895035,40.335971076837374,40.64990541045367,35.815882306157704,36.958191340610085,33.44829748647212,34.219102603614786,34.21935239881678,34.108750077504304,37.188270527062706,37.19180849830159,40.876681816571356,39.65521768192752,36.25769887106072,33.79641364919324,31.452198526068578,30.26621803456751,28.810120797024048,31.365785111023744,30.425117188975523,34.59352766686619,36.90785840629635,41.81673957795193,40.590440597638214,44.95066016519889,45.97409093018729,47.164820691378026,43.149873633165164,39.383610726443045,36.47045226462899,35.775209428220016,34.2211737427769,37.46614003985057,38.24419196713595,43.038534512760414,42.31104011724612,40.26296303133167,43.80261004173767,42.54466023973376,39.554997219260834,38.95575689115217,38.704280138046826,35.501000900623445,36.75017995129213,35.17508306155684,38.7326121914554,36.88991877381297,39.00492498509649,40.62175006700699,39.40273575140269,40.555504182069406,41.58213819731094,41.61624418239869,41.775974350073085,44.332630002930394,42.232022650221154,46.89590742653144,46.96151596146861,43.8840720980979,46.091482233608914,46.939573563627526,43.9009765237186,40.87374904605835,41.698116464267606,40.69424173880606,44.804915137046045,46.155400156510844,47.33202626553999,48.296033325722874,46.78001012765234,51.9060023540648,51.6026934064154,52.33914256029435,50.41372104273596,46.838849509376026,50.82898300666604,53.0733873746979,50.54920123178336,53.9631375213707,53.07260855867587,57.21774803436249,53.73098248225744,55.71562778405349,55.28998355791424,52.693254059434985,51.0889918728544,48.652916999251104,48.66951453675974,48.1314079101249,43.30022807149525,44.12421190738471,40.65543503041456,40.099409115484214,41.181167981592495,40.06037024004053,36.79932630881828,36.02444023572883,37.822246918273464,34.17847331254658,30.382310179369835,33.20039120191253,34.79721415542563,28.78384052480138,28.24774536376375,30.287296487747398,28.06457730450253,24.095806019995425,26.100651519519705,26.860643953342606,31.118372416324362,31.75983484072133,33.70489919202783,36.08330829633757,40.99586927366183,42.90237713138835,46.25785776852364,47.997316159576734,48.1286423947533,50.96577641525216,49.3881692661215,53.40234447749533,51.183182052161044,46.21014387364943,49.919398887370626,52.612842214598025,48.277089284175474,46.96640238394365,50.508647756819585,49.25535927919862,44.80160628585943,45.49457166347802,42.19161285981557,45.75509371137806,48.16829562926529,46.45105420880156,48.93803318510427,50.45369567935222,48.66317826473698,45.04575548338209,45.3005654498064,45.91847321124328,41.998041718026776,39.8497528352676,40.770317938252475,38.632382731777845,35.49622010005152,38.93412910277219,38.447137319490345,33.71051722593757,34.64146590438158,38.193067073887484,37.90045827768596,41.734966984076735,42.29598469056677,45.593994738631274,42.508565345192984,38.13871848532607,42.70314533057029,42.825230324753065,39.230303913239865,39.491130375330115,44.67196442672968,41.80771542285577,37.49524435626661,41.13508821917995,44.536013135041884,41.10896555371642,37.82091477338437,33.21180932419612,35.348959218183005,30.619056444015314,30.6913415155836,26.551830524537582,28.373828804514147,24.974753794010624,23.33112173710047,26.60191144427663,29.214728115928406,31.504023517116558,33.59289457381696,31.9171126129373,35.9581711851094,32.83156028584653,30.97026201509176,35.38442451806596,36.04842773673479,36.45653447349974,31.795095565142283,30.61889183607851,31.68671468945391,29.286797417247282,25.529382889149524,27.685530401933434,29.307229185305363,29.622674883045214,30.936865392839767,32.73691058751631],[20.00517050005387,21.30589330500633,25.182801436007175,22.77791719371606,28.739416403696346,27.298274102755077,30.217108897004245,33.33333143160839,31.678642810414214,33.82310543619056,35.53534779251607,37.915293784772295,39.20628284939186,36.5663893191872,41.24637259249402,43.44368923333839,42.3406905548123,46.31008422650795,47.999958999504706,51.18598913889663,53.95795132548854,57.86693345234422,58.07961984408253,56.84290236595185,54.89765293566673,50.675306398358934,49.20213838658135,45.62956938059398,46.725627458771235,46.49304926705199,48.58901575585182,48.55808280538547,51.36825233714898,55.192460243767385,53.57328733207137,51.924535557750225,51.298190157202626,51.849958327322256,51.53755512835651,57.47469470115978,53.89646602672733,54.623285208366916,58.997846993943476,58.528723445269826,59.01117835135616,57.7719076865929,61.99149555355721,62.106553777679636,58.16148456051726,62.003455440398014,65.45808805068127,66.03890602322926,67.80896013324008,61.575623478172844,65.05333565508771,68.48887246799949,65.093947607586,62.66640070154086,67.0352122309673,68.51853993223354,64.0026973394922,65.22683775888456,63.345404899285256,64.76715474227927,62.37399165672934,59.03022058862591,55.475098658883816,52.5210754224011,49.1784803201937,46.64641257263199,45.38472201207273,46.72343370872814,49.30849751694943,53.16993788651391,53.04467018150184,59.24331820539762,58.88813282239541,61.54222202694401,60.94965676876433,62.426025382653194,60.5516126471043,60.46098939101568,58.098072590688986,58.52071922207893,55.70112410968595,54.3768389050277,56.02813854707376,56.594474953522784,56.045488535650975,58.575874373618774,55.803084795116796,57.91666191835221,54.24071421861936,52.181020444980874,47.60220881288231,46.882256833812,42.76055209349355,46.11919517923103,43.71994877231727,44.80471178768769,47.77580326687766,46.726171206257135,49.40109060522227,47.126282394458414,50.3120467935994,45.55330090297971,47.50748353800492,46.338495285449156,41.881901976293555,42.32235879267686,37.584173507826236,39.13390989026687,35.79595538373012,36.81710648834666,37.11202465079735,37.13055294024283,40.351608348190354,40.44784532110948,44.28753976829638,42.971635667282456,39.6225667854581,37.04935043088635,34.692319277523104,33.30685721872458,31.59418801363644,33.93904532263585,32.4607163801431,36.73704334749971,38.799957616495675,43.77062025596722,42.34785960100784,46.58497409863688,47.86567285817444,49.12951278089937,45.272329264422886,41.672181683091964,38.5622495116876,38.26457884403948,36.97058724262054,40.310624947980024,41.30460335625596,46.14413635788521,45.48780886899469,43.322603737655506,46.80955060932597,45.51546308816037,42.473410020626986,41.71933766650138,41.22638496921461,37.94599908381739,38.83756462441464,37.255348725350814,40.52111442874997,38.50468155375705,40.97003671020492,42.71103435257417,41.73736708011032,42.73257107126261,44.075668075865906,43.898856837520626,44.26323068779036,47.0748429101279,45.02474603817382,49.673094140803116,49.62516755362993,46.568161565594494,48.52924339287997,49.34381070049323,46.122174081000054,43.28504975647051,44.028361781955915,43.22814671937943,47.31430865690218,48.649257010192585,49.87286477527521,50.70356099470324,49.35733145148103,54.344661096307554,54.15845958333605,54.72267479556789,52.870677246022076,49.063407271942154,52.99645758285878,55.26028208680109,52.88399523211959,56.52940147617064,55.83558949325968,59.94428814873794,56.52244342583763,58.32090820126506,57.75203222957616,55.118146263466436,53.294099201948896,50.715510369758576,50.53415994239327,49.7421069646236,44.90419681956368,45.46528655866258,41.784018317208464,41.32790320867618,41.97377283003896,40.93240412871972,37.90174408426676,36.757686984135354,38.27058782314677,34.82660902204906,31.07118588594478,33.414612177463226,34.89726810533123,29.117600081241306,28.251922688175327,29.93438848946588,27.970826468351483,24.035160777219122,25.42375065170508,26.431970317058802,30.229817114515043,31.15300651120101,33.32617074513114,35.41462561587988,40.327035265877164,41.89960228989555,45.52587559090947,47.45833760375401,47.89299508721253,50.90601327258326,49.64221640629281,53.63354550574525,51.192748248837646,46.52304262615551,50.415730133069836,52.94356241521347,48.62177636167482,47.59767506729732,51.291589432188424,49.796424726215065,45.34740011476084,46.54983027833442,43.01109484212937,46.82021765600042,49.01557691792304,47.05408767263521,49.65030963094603,50.91808877775295,49.45245375269713,45.83098059857912,45.66846589248475,46.43820059962691,42.77750499417458,40.30827085174008,41.00991009953435,38.9648866118456,35.77197898590538,38.819903617348785,38.24616517356197,33.6114109498545,34.2527636989578,37.60185969416927,37.43006667103793,41.408216329138874,42.32608957395625,45.467838525676996,42.067400595206166,38.0521808940647,42.76904768766319,42.570972279294274,38.963903547512665,39.67351830926432,44.621504058074606,41.46069915774397,37.48330174179184,41.40883823326843,44.45400857492754,40.84573339406035,37.7885328418857,33.32583294952064,35.17303635319814,30.537996215987093,30.179967944737054,26.51239474946887,28.52697559796166,25.44078400967775,23.84915546699067,27.282009044121377,29.774965023806953,32.3415827331217,34.29843065376163,33.14320830025952,37.278257205883826,34.51847612611917,32.25951465405639,36.656543086176974,36.99767745726685,37.72598873601246,33.21764347496894,31.527078696597286,32.6228057420605,30.826562677752772,26.659805990995594,28.2845826159288,30.01221989182583,30.512152038973667,31.955163689333094,33.59235932959798],[16.51615644484969,18.06390058454401,22.202572544721296,20.0552372587496,26.09189481575434,24.16740834420448,27.229802471025405,30.129370132430367,28.59343937298162,31.047871107995363,32.74032347345775,34.87545923131751,36.42312119227108,34.04080045227765,38.65886634729814,40.769396189637725,39.906630782130385,44.01875460027206,46.0454650519238,49.058240845436885,52.03020591429429,55.909463376678374,56.3285459140865,55.26670405674587,53.13135422072459,48.88106524463085,47.193782275440896,43.485866311338285,44.33812438556215,43.835171074332266,46.01600358142252,45.69750050317438,48.46682171560697,52.427117139316245,50.828754713343876,49.372805741028245,48.554217136803544,49.42523079341672,49.21379596556484,55.117025530466854,51.801537327295044,52.5518135981967,56.91184291592278,56.59203356976247,57.311316318750116,56.16448765639916,60.42787949099346,60.29926532525639,56.28778389968099,60.261861834189375,63.555516562861506,64.03462233565119,65.71281217374987,59.40173789757339,62.705324641597265,66.25197256136674,63.00434605082578,60.3863480761326,64.69181342418815,66.41036854236484,61.905198076336454,63.024119436509224,61.043389561489114,62.708985293825975,60.362684346055815,56.85630995358504,53.486101980330346,50.35007723774885,47.23978198643843,44.53727928118002,43.493921692104394,44.97769292669129,47.3051167744451,51.241905410619836,50.81161536870614,56.988932492101846,56.5633892554266,59.04925689149397,58.430069692661725,59.947000957628326,57.89892286571945,57.89020628195979,55.30782601976962,55.8303290826663,53.176241750399925,51.75824155664691,53.54722900497969,53.87564736862092,53.560029690435655,55.91371253045428,53.28263813409541,55.46641186941309,51.71879475832766,49.49439942903548,44.90747460409104,44.20491443793786,40.0862723809363,43.18311878821114,40.652249744617315,41.492145826701744,44.63264716832713,43.42128356771204,46.296425032716506,43.94763599439668,47.29340009081511,42.54725492669913,44.45074421599133,43.459645016399506,38.98574618364386,39.24740196752663,34.55633648123573,36.26324293599461,32.90001459918346,34.23473316886695,34.616572111031395,34.93905131280164,38.24240376824991,38.6817914219702,42.569554870072636,40.92950327341462,37.695116928116676,34.92107483366319,32.77687892820655,31.11575671650985,29.09378753820799,31.535602965194848,29.66807521822805,34.091781463279084,36.11253767724682,41.04639860377334,39.87291321896069,44.02333476767782,45.48501089353051,46.49724777177714,42.90734696322645,39.284931150387884,36.409441629782904,36.21460481174043,35.121424659172554,38.346230913897216,39.77602192995746,44.58229278164052,43.71618569849634,41.35859063696811,44.71694714053101,43.17579083126985,40.1298546143589,39.088729770551474,38.40852126589067,34.97469728061908,35.64120895693516,33.93429890817646,37.044622342593,34.93229555130043,37.53323777172103,39.345348254339534,38.54238211652067,39.50991049916076,41.061745775577876,40.90755455856587,41.59481553427608,44.50147545720345,42.76626739034927,47.3457205570949,47.50984760344502,44.76190787873233,46.59591813201589,47.68936650208775,44.41344524426604,41.55076355351523,42.045740375375146,41.143287850173834,45.00352431334235,46.13475355418683,47.21725598708352,47.838640081524446,46.49456243245735,51.380230747671995,51.41390992121989,51.90952946743898,50.31720836631561,46.30867428043808,50.412092211606904,52.82030181475429,50.53634007257432,54.24456702315696,53.58961257529996,57.84363188183748,54.68197562096568,56.38572461473002,55.88945233575683,53.07698161300066,51.28994720282393,48.63281991742637,48.36806025809201,47.58823617600423,42.70617239391306,43.10455633330759,39.40386041873665,38.64752138240349,39.28252166440995,37.974799304074295,35.01919500192177,34.10815849671306,35.425747579566874,31.80266988104844,28.42234045229241,30.729207857875753,31.845548398393493,26.078849757113986,25.4688704867463,27.051233119269952,24.77007119879985,21.04478117046332,22.79287412054735,24.030210829646645,27.733380393740482,29.246904656972664,31.033795048712964,33.02340583155866,38.08392331118797,39.62725537736829,43.27163707365487,44.92706135720641,45.31090499813101,48.21999005848962,46.83330870378637,50.976064740926105,48.725450545804044,44.00711165088338,47.8258523853179,50.60227272321555,46.40373001081669,45.266897918841494,49.0251002656689,47.834599709507955,43.36123285393633,44.42364722444352,40.68157496595028,44.19269030526739,46.33320245810994,44.21505844693025,46.63087370525425,47.77361401879038,46.228653829135546,42.7530800890542,42.50129733470421,43.09437447740648,39.471651725161564,37.107354408913494,37.6523952583018,35.51191520415188,32.45297539258538,35.586966981503856,34.88126857680338,30.19175179475912,31.092677419206783,34.514483177364085,34.48244031586706,38.437476487316744,39.31821579843086,42.62043889072963,39.345267305441595,35.30156498991245,40.0869113727266,40.11809323930196,36.559918398915435,37.273663917646765,42.37836370914306,39.4815001640503,35.469042021185786,39.379259782441004,42.62410912137293,39.24852974839224,36.18027918998053,31.651540958241597,33.975248979657174,29.41843975628118,28.74532976835897,24.85613648695059,26.360864872335632,22.94047341151585,21.943535933747608,25.407293892471607,28.22652200035074,30.56495094920292,32.12869385203494,30.72358256918147,34.731803178071054,31.88128148695632,29.31886255402801,33.5027871015163,33.71524343321167,34.33116251874374,29.964091920182078,28.190433835979693,29.090161782001317,27.42814629915634,23.267431571236294,24.743896350810402,26.35082130528047,26.869825207143684,28.345350724520515,29.9869576774518],[18.46216520254416,20.84630012283817,25.495095397207304,23.801167921339626,29.79344255160956,26.75162621390233,29.76302289889629,31.999067328372806,30.124580031745197,32.886663656546546,34.02383675849048,35.79830327564573,38.150360318989186,35.75930934838502,39.965718720735445,42.27077168502929,41.997650212926835,46.03701946441096,48.42624311765251,51.5010431924307,54.556154459326116,58.607292169052286,59.08577411534636,58.317432780648076,56.19764435223397,51.81373582787544,50.149200253697785,46.24320612672287,46.638550795197105,45.79802103821314,47.36488189348782,47.05286339422556,49.37803605820033,53.48883926379057,52.31921536879576,51.234387229363676,50.49559682728117,51.92499452192878,52.06749096331554,58.079937300804595,55.05031876409598,55.455540772034745,59.825804692636396,59.85775450727706,60.78642904244878,59.9331654728314,64.21026587588909,63.79855873499237,59.94204006228307,64.16768315519755,67.19020412624671,67.62740532777345,69.06890680536212,62.66877477654366,65.75410355995595,69.25806273069942,66.08330038631004,63.20147172984437,67.32092081816494,69.27381458456479,64.57066880491257,65.28304631083556,63.005835965247954,64.82703548717059,62.77057678760325,59.139115245842966,55.61515825773559,52.25228545074587,49.188775817743796,46.106065040910124,45.19686161990303,46.37649310836148,48.5882510501611,52.81351805859056,52.25180729026677,58.2706175747974,58.26626243198393,60.44017813126513,60.15671643372585,62.025559800068365,59.96647385976956,60.36434143817123,57.600058440083885,58.52108251414601,56.103915554722555,54.29129760907277,55.96617894506314,55.848115428972434,55.52286280608344,57.30448327421736,54.61639559429959,56.45161694602195,52.57113950966159,50.19646047233784,45.781762269378845,44.641244940723396,40.748562155139936,43.89581066843994,41.430654571262096,41.8960304075407,45.71236411119375,44.687472204933755,48.00431024574004,45.92188303152414,49.80736157340304,45.217577333674434,47.14587401839971,46.59295288883271,42.14397299619099,41.949510851537624,37.381200912393645,39.15182610968905,35.529045786845266,37.28849983581546,37.27574367767255,38.02984583901354,41.11465691458641,41.962443730284846,45.387577932348,43.3375447639588,40.19658758466308,37.36880057531631,35.852463783682516,34.17746622512369,32.03176485745965,35.01137065925745,32.92314212304603,37.51656858708935,39.58894954029468,44.38120675846705,43.72132064360556,47.73364692970892,49.39644517933048,49.963358002370136,46.75334158870506,43.01158564593927,40.60750411014748,40.28289277882667,39.18643917672765,42.12921943542256,43.75902610779926,48.43512136168901,47.16583774143751,44.76980189934128,47.999118487909655,46.0267391027681,43.105877012713435,41.66898136015876,40.94235413514143,37.145623627970366,37.60769277802943,35.220768345082504,37.960838379197206,35.02568278894978,37.769980588214914,40.151388076164615,39.80789783659679,41.14755678832054,42.89638603320853,43.28979873843411,44.569477971015885,47.27349423085393,46.13697988892551,50.59297007914494,51.261773307318734,48.902364722737914,50.79708988573033,52.20471018049303,48.99369161470161,46.00658075686308,46.283218442038816,45.09913168998804,48.62920748418761,49.40824320160463,50.1199474647822,50.38560389666638,48.73303948080712,53.53661318925866,54.048519409866934,54.61605294601575,53.53611220306191,49.356575660541715,53.82590856615589,56.46076378945018,54.2320314626709,57.81621073643359,56.986637869848074,61.50795967832437,58.629183242796024,60.40891892028837,60.11711609526804,57.12842703986904,55.53497012408912,52.86233628904454,52.56528928612521,51.85544681551613,46.944554307348845,47.14002517294664,43.42579563520179,42.23049866386682,42.751846046546305,40.984321236584144,38.26638837625917,37.691577400016556,38.514705924027794,34.68416574309895,32.08367026448977,34.04644187822164,34.312738957796356,28.88787588036106,28.5794209119416,29.571713237935175,26.848410010105255,23.825560420473444,25.580897067718514,27.444649440965232,30.344268095519563,33.0408913927115,34.4962318183892,35.992002362436516,41.211321659700914,42.24811249872993,46.24447238895615,47.631743743773114,48.23883034682239,51.09325414896035,49.73050228575257,54.104395966896355,52.02911516394199,47.484901622763225,51.253982767636174,54.299705760813225,50.31064512864168,49.16861947161686,53.04002067071958,52.13633953758941,47.67109887211743,48.71794235708201,44.69113326544894,47.78883792079927,49.76635905831164,47.28639974565644,49.35422669280803,50.05376330794701,48.483097447558706,45.41080230580018,44.718737829671255,44.89212436991387,41.56520871112882,39.37069121012055,39.266338470863886,36.893966507073316,34.321719891723966,37.26768776499615,35.98987292836102,31.33433385184494,32.73249760436989,35.991051174776146,36.5304922584539,40.541715385899934,41.69782983013618,45.167870090744124,41.86170900444836,38.186502790042965,43.15814175030536,43.31045956764214,39.866293793465445,40.92220391083275,46.030476495065656,43.27322600413419,39.520868076473846,43.543310302119664,46.764833409758694,43.53193889724213,40.63970259182868,36.18633111153499,38.71002532302992,34.3114587888199,33.11942582072592,29.42466935221305,30.478741206696203,26.861979930420134,26.600576426584883,30.08266218591052,33.109952738460336,35.30413146100139,36.39894097509821,34.79875049375819,38.57534201783758,35.56651660722041,32.54216212036323,36.17087939734985,36.01468431346094,36.24986532548086,32.37056350776058,30.424733484344177,30.568154335498484,29.297367042595823,25.45161246726364,26.207597567933327,27.054250085982144,27.470474808942605,28.77382048695611,30.132579395055213],[18.083423375661017,20.861453537364213,25.615071579717334,24.06065905401585,29.83076562913376,25.84353626004333,28.654713074532257,30.328747276558985,28.192158131458037,31.143884914723927,31.866709980004025,33.32897049793517,36.234191566403496,33.939780944905394,37.788558669314995,40.16720758694146,40.36697650729625,44.354691285791,47.09441452378689,50.11223168745616,53.27648221169445,57.40331223030552,58.004953232735296,57.524349355190324,55.350165325823674,50.896149569258434,49.18260819307983,45.12606634410917,45.11400384625449,43.977816354508235,45.135481647863905,44.76396359675031,46.77317205202611,50.97547891634756,50.09729790817704,49.31552500324216,48.60351779233358,50.48652467417548,50.920329271443734,56.97136589163918,54.24465615830757,54.3842914948195,58.72642590420151,59.07407883544988,60.239916098939695,59.661103569612784,63.9398509458556,63.21753658120981,59.49554653742066,63.95209696837693,66.68361864289078,67.05848504503686,68.27122636665261,61.814091847409394,64.6753400628964,68.14180359825814,65.07298730494253,61.95578095853816,65.89737750681374,68.07844349712138,63.256616775122964,63.64538312121641,61.149279629872765,63.15132122249903,61.31869251955616,57.56445720726128,54.03779514985798,50.4792101481997,47.57610114872037,44.20895936986572,43.498356917384996,44.56056096739754,46.54382897075158,50.93982065052701,50.16274102826614,56.031090374358286,56.260642670405105,58.165924149609125,58.092678703491494,60.20088427308012,58.11293641811637,58.82660571190389,55.92688138795939,57.17278159307707,54.968417507788196,52.83421799562323,54.425643852575604,53.94163220531011,53.65779271696252,55.00100938700878,52.33461934224334,53.96971928699235,50.01058386153297,47.508343566359706,43.23291924341011,41.84685647402026,38.129920319993374,41.206534097880755,38.79267107771524,39.02471091905655,43.23744482392623,42.40433585848087,45.97332618371326,44.17292854918405,48.47143572457548,44.077887089262866,46.11750991067668,45.97560281957785,41.62500598530205,40.98041892013405,36.52856131327361,38.205260481334946,34.3776492776406,36.4534369283567,36.117621046592106,37.26366140989811,40.15845995476995,41.421279595274534,44.49088117206386,42.04652579688409,39.062879536024674,36.1621773363239,35.20397172218265,33.45960854340981,31.197111376954417,34.600295476702605,32.42776863604756,37.079094880178914,39.24656464835619,43.83954795418675,43.73961256929351,47.63776377154258,49.38253888048276,49.494424724685956,46.624816931937374,42.763245652225685,40.90028390510477,40.38661730107684,39.31353072862106,41.93488663393307,43.83720945835973,48.34089436951779,46.68599275666295,44.22522894162791,47.281635702717104,44.93056358622176,42.14240292113575,40.36770560077854,39.61553637102295,35.58116165851391,35.939507402803436,33.06425369641155,35.578955914119774,32.15452436510453,34.87109173085601,37.587894930751766,37.53338011665469,39.16176739285857,40.99409552630183,41.84748007767306,43.58140711974871,46.07201503123204,45.48567738634196,49.78562816092231,50.93097099475424,49.00260572457351,50.948718409330304,52.70740429982945,49.61306506199304,46.48491042546928,46.52092567254149,45.031490026928715,48.2010372726644,48.643673827784184,49.014846172974515,48.99488447710002,47.083975575267175,51.80440427118668,52.685290164208666,53.333666297015505,52.69631525918434,48.438552248020514,53.222778725861026,56.05013315434605,53.85546616632635,57.26720900947774,56.272890457885914,61.02793510732596,58.465867813545074,60.303518639742485,60.24212140983636,57.08210329934815,55.737694926281435,53.09791164595891,52.830222406998544,52.29766776737701,47.392799584642454,47.505604664475996,43.91728421951154,42.25535742448903,42.926354631461436,40.71055673945776,38.09161658019285,38.05225914480689,38.61750206577667,34.50784697068619,32.6069050849987,34.568992033165294,34.18888229248005,28.95130795882403,29.155455846282237,29.933382446469285,26.678713551270935,24.268464173942856,26.52435961465449,28.661810623511006,31.271705932562135,34.709795997474885,35.635304390140256,36.947032218753826,42.269183056433185,43.19399974245405,47.198226348358766,48.15493422495674,48.67938545353354,51.31938807083735,49.73251810259794,54.308019922835705,52.58139271605331,47.97768369127026,51.54450517891466,54.955140272942515,51.17516807289325,49.82282092784093,53.686589703985334,53.24953786014207,48.80561129622469,49.49618036719992,45.3499371480598,47.87902074744832,49.82795973993885,47.199114363449716,48.87669750680097,49.372131954302986,47.56629118293141,44.85377768896413,44.08787951463427,43.81116820939269,40.572666203959606,38.755755051368375,38.29043228821511,35.68993804287074,33.57422490890711,36.647283006208944,35.01179318340922,30.35585225897233,32.37120263740254,35.647792060553044,36.52351960343756,40.41411834882469,41.48642429811195,45.20202848522679,42.16874591502061,38.52894336978762,43.501213593393324,44.03083852559406,40.72274119773328,41.71365912467054,46.98693683314393,44.63918186336248,40.86764489679324,44.751362572974095,48.22919089713234,45.32089379551439,42.42249042139223,37.94868158278333,40.943638534985254,36.662939578442895,35.27723040305982,31.388907041001247,31.827497524155113,27.84707075189086,28.275678460802723,31.632546647984544,34.946160658627015,36.779514815749664,37.45132378584605,35.3683976697429,38.83227341504046,35.54345256577516,32.318974262481134,35.424252526478284,35.13901450757812,34.880539382274215,31.383954473571684,29.599389815132263,29.10952385017695,27.86841536128148,24.55899424463143,25.026636029740533,25.194515601823106,25.417179477636658,26.50368955979098,27.75572428356103],[20.78872874128659,23.68840095763284,28.645128960122076,27.7444998905992,33.632668764145656,30.129067717693665,33.30675641147791,35.02597896455999,33.29735003218727,36.45017054267542,37.31511318177325,38.623028577860325,41.56154504700122,39.438314816289115,43.340510812906416,45.628470261750316,45.80237571962249,49.874695041952506,52.601247680487106,55.56370042367622,58.756750397931484,62.82261795875827,63.44434897059995,62.867985968525915,60.65530262200877,56.24259938414938,54.45816175110897,50.436775116095234,50.499858847296245,49.311116074363184,50.676097988488074,50.10080055402488,52.13940076377493,56.42213882507787,55.48895798926744,54.7507043813207,53.85930196663769,55.76553151243044,56.083739904745464,62.03479742618938,59.315337424088995,59.66842287296176,64.00286960309971,64.22457063366006,65.35567997650882,64.6076303284951,68.89521005762427,68.27906063256475,64.40394915002045,68.72092160682064,71.58517435535781,71.93173143581282,73.26339795218325,66.81563055865892,69.6828675488236,73.27664288254098,70.2621711186503,67.17441191376538,71.1695785205915,73.37197754128134,68.64551015134636,69.13764926620982,66.67984096327149,68.72880153770059,66.82752059676372,63.05924298917136,59.61817764216286,56.06744053106262,53.18906760541489,49.85955486106115,49.142716177839276,50.2230374887516,52.22958366519356,56.609294633341015,55.80841159226415,61.68340685574918,61.84077599942713,63.72148956440476,63.57343442714595,65.60671515886698,63.38817004154686,63.98241245977429,60.93670645242313,62.04095209029363,59.88034650654347,57.91881767899142,59.69753037889794,59.19940255248814,59.09996061370796,60.46365223302018,57.8917657010284,59.581048797410546,55.60637100934726,53.03625301635981,48.763500909008854,47.39585059039158,43.69888517462202,46.58330391682329,44.04242213450427,43.955026161239836,48.30627109274295,47.095399763387064,50.84763551717424,48.69599948914836,52.83752352110277,48.31238308531232,49.99805319349554,49.67743338221206,45.23316129926101,44.86025968932561,40.52147953481702,42.62906940248449,39.06457244445105,41.236368706831016,41.263018103364764,42.35321164361415,45.41620012348428,46.570794004278866,49.87083950805423,47.51681839030983,44.508863242338904,41.57707803868926,40.39057804209791,38.5510618368692,36.16087824882177,39.20399548272187,36.60604592512117,41.30223273336294,43.17941104878354,47.87491021909571,47.38993447793508,51.17792576014568,53.15581411856058,53.49012450619355,50.675613264646515,47.02699657968804,44.7821196750357,44.693796112602065,43.819200094135184,46.649183346808,48.58576157380515,53.199520204087655,51.76100652688543,49.242579967640125,52.32578009219701,50.08500519018143,47.215503262562834,45.43595806516094,44.48100779110422,40.480896408060445,40.511473755271666,37.793866442926486,39.99767590257514,36.51563794962985,39.593814390408134,42.350655128850214,42.49547958851403,43.87448501562981,45.98839322920299,46.500551503685585,48.28588524758217,51.06579640421677,50.33437143137147,54.66903900338909,55.54552649256979,53.46485543923282,55.179132658838206,56.765516916348204,53.46468360337978,50.563195545480674,50.628243516892056,49.439965749204255,52.71815687729129,53.260489108789116,53.78251695658381,53.71513778429922,52.050817073863016,56.630301236842136,57.52930106166037,57.981508128704775,57.29024305546051,52.8418696253917,57.45521651654442,60.234088168981685,58.17875362932504,61.86222133589114,61.10183765440428,65.73519678013359,63.122787221808686,64.77125697323171,64.49691573411734,61.37097821325704,59.72997558099728,56.945932270368665,56.472150265494314,55.61960449670372,50.7250927714736,50.58800176791474,46.74738400286664,45.34850644675671,45.47079140640585,43.48506460763801,41.136089930186365,40.52282056901851,40.80163064367026,37.05863846703639,35.046762606862714,36.41592069157761,36.025867714844516,31.150677971578624,30.82132306982836,31.141370893165213,28.406483821142665,25.99984689549876,27.276116132071575,29.653836790570086,31.604102574430016,35.26527175628296,36.57507576138229,37.499320331794934,42.73499653891337,43.178730020448945,47.536824944099806,48.82895857749154,49.795798562532674,52.6929363096315,51.58626673274528,56.05729901213357,53.9773083068943,49.81253297263248,53.63518476632491,56.7276599640956,52.936600189799435,51.99682298060449,56.01992176329619,55.16838058523609,50.75203772366686,52.123645044705256,47.77313840759491,50.73332806277462,52.41981333491351,49.5426868629573,51.43106900239927,51.63660219515059,50.31834965875687,47.5491407913048,46.25625423070247,46.26501296914159,43.39242255537857,41.10115335269081,40.40087046374213,38.002752969355335,35.769145728440876,38.219559015119515,36.51632200107264,32.0968657689894,33.56897705517909,36.47902162953031,37.49560411000418,41.5633216921635,43.14638866588999,46.56658408807447,43.0727773680427,39.96775097712962,45.087511533855505,45.10930832086325,41.795844436242014,43.37026933620671,48.25898402314517,45.45941313298794,42.15922330754565,46.38687691961795,49.33538088653606,46.14594003541808,43.56021289558352,39.31154509836669,41.80119122462709,37.64557578282948,35.8407196317763,32.6178745386896,33.437597248700925,29.984064309154018,30.236656764817113,33.747793669542354,36.798275007345694,39.02352670297965,39.694019346250926,38.34141775485377,41.979422995694776,39.188538853284555,35.64984667202028,38.84944412592197,38.21926270476521,38.47554242699945,35.10122704291898,32.70652157673394,32.41618691117735,31.912116051488123,28.070449262191165,27.94845288710984,28.38965044004134,28.889214509862576,30.170766269370564,31.15125696927183],[16.598135639037572,19.768154860702985,24.85957232881859,24.95106872215248,30.597551088092793,27.06100817239345,30.603080731241818,32.05170657250191,31.009079609652723,34.66707307386407,35.755391879176074,36.596175098825185,39.664635694604385,38.18298549825682,42.07551768942529,44.02085246079156,44.360418702934695,48.68885018028913,51.77932602121768,54.3318419736123,57.80276239384897,61.64278315668895,62.59195287670293,62.113507337352054,59.579809657192214,55.27673168599137,53.1037304101858,49.03751447732564,48.923633696894555,47.38441666780398,49.28558629857109,48.05291611907124,50.20815189963027,54.68014339347533,53.55890025144018,53.0391793894977,51.6583021780697,53.87266591431444,54.127496860697455,59.8124570272149,57.46216344255809,58.15009695030598,62.38929453734477,62.61421173127897,64.00593941804756,63.172003713667074,67.47936881802023,66.66759501496894,62.554467731295425,66.82699672482782,69.60490047702699,69.77243911676605,71.12606563058219,64.6622281114449,67.30010153056288,71.16087695679953,68.43162336448434,65.19069811659553,69.16161168353777,71.65941480909781,67.15646243904888,67.72919682307534,65.29419801736448,67.69955693194169,65.71047982640376,61.75180510911872,58.80258357814235,55.09334815767682,52.65144221633798,49.27817800497445,48.88358253699682,50.350499156053026,51.955534101291825,56.263495804599145,54.98539187278062,60.840801535201855,60.61722162619603,62.31729450119763,61.90813125075281,63.77189188720513,61.1853178690424,61.648765027757825,58.23256001565784,59.22406043710802,57.31071797440947,55.50453547814341,57.68002709543225,56.95806453593528,57.40698808096723,58.72259487218569,56.52400412914347,58.529396829415624,54.51711482424089,51.698874398279784,47.38390562890004,46.27801130952081,42.547565916583316,44.75250267709362,41.88539893507021,41.257509483646025,45.69089121924817,43.84547910865612,47.867784385959084,45.2559610175626,49.297688493062395,44.7224037401606,46.01614325162423,45.73149970886565,41.286312487097405,40.95672267605579,36.86877082595992,39.48670868941771,36.2735515531255,38.854991276395964,39.42210861260838,40.801734895062616,44.109091137992074,45.57008314806286,49.21936347072772,46.60552551222465,43.80590810923263,40.617729377097035,39.43657789902907,37.151304444077965,34.29162715272913,36.94595831250356,33.54794873389744,38.285748832043694,39.794902900440164,44.40761589530708,43.91017736334281,47.4229359495276,49.75830187066036,49.97827656748901,47.5844199519418,44.1899625015624,41.97714182124615,42.40572841134595,42.02811835226401,44.82845091220498,47.36470167982614,51.94415444560005,50.50673159821597,47.70616200657212,50.57364492186805,48.21175501163531,45.29772573143042,43.213398293291846,41.82394957659372,37.809531310293934,37.25267120777231,34.715133010828374,36.46502306482162,33.10555296021844,36.62698918989243,39.28942305949631,39.72647829805013,40.7067823099868,43.29458355572745,43.385578873917474,45.51698107130638,48.684861258585606,48.17476772332815,52.37219131216404,53.195471692094614,51.41497142188154,52.6946848266548,54.460690210941976,50.975100424080935,48.309453050151376,48.070530093869564,47.06176002092486,50.08196920577309,50.47349746678634,50.99448258451426,50.67082050753325,49.33906778011617,53.599386672906896,54.68481365186177,54.84344728596916,54.36480929806966,49.58333703393983,54.13885513639863,56.9914618786104,55.206179835511136,59.17406173365658,58.73095212485343,63.3468430426572,61.04835565484554,62.351677840290634,61.96473261267664,58.68816643086986,56.854307593990704,53.898189605873085,53.16338658204326,52.09879183485058,47.25639242312956,46.742824980143034,42.79935856728571,41.25957353932059,41.00009941764727,38.91129022275364,36.893586934199995,36.190993201662,36.05047917359681,32.44014504600474,30.909878994783753,31.792562712925225,30.96479504437677,26.51465195014276,26.202886180869626,26.09268256096206,23.365308300695524,21.4277463239582,22.506996676795843,25.22036768381106,26.591979325900443,30.982568493361324,31.93785753101734,32.52487947513712,37.77461604751882,37.99181348917832,42.43442363010822,43.53873896736573,44.60477289729606,47.47803551645333,46.488074319719146,51.00507670967818,48.97969374699622,45.04156817187576,48.85863940261571,52.0135550639695,48.41380956069613,47.586084086994234,51.70729182049577,50.993441960841885,46.64293425691121,48.22877188974526,43.59880078851227,46.4194029425597,47.84896964826005,44.70872819217997,46.52045902379394,46.46201660878307,45.37198151465375,42.7266629150557,41.07336823358991,41.112326349998,38.51852741791239,36.065176767666756,35.12178427744285,32.805965922843946,30.64458194117464,32.79818200318934,31.002863498114458,26.71623346276405,28.119517565743426,30.89436477351229,32.077773689042694,36.132642906585936,37.88723237177233,41.27190604843518,37.75901136138547,34.930086974828484,40.09176271924217,40.124246025096916,36.93538488917449,38.77450857032392,43.544184393306494,40.90238964536902,37.8719907496763,42.15209200250007,45.00778006864585,42.03995291342344,39.66078322591143,35.5892988793611,38.33238946368676,34.49303715567564,32.14717344453544,29.162770774424544,29.48779321443445,26.139676340750366,27.075984701801346,30.493145924859864,33.63759089295137,35.71601047520508,35.847803672590125,34.72528920275217,38.18906354558329,35.767377724591014,31.748817002645666,34.650064191532266,33.641448422872415,34.184486492172766,31.154854895569077,28.26529510350807,27.926275060630267,28.198806094763896,24.09003796231567,23.30103233829891,23.837288628131144,24.60973689512241,26.053569111141716,26.919842767709625],[18.351859868864402,21.033524975857766,25.94186451209543,25.626969830089873,31.505459322374872,28.81033183619521,32.390105809148515,34.40522821447853,33.3428104678102,36.67527494623805,38.033020425507914,39.297504807744104,41.861666335857024,40.08737763903805,44.28919989104459,46.28873846162112,46.17736774972198,50.474389685197295,53.16316925269885,55.88766039862931,59.1844251685517,63.02806306705741,63.7765275874193,63.02578072737684,60.62947826421789,56.35445464981442,54.33720354592514,50.41177522212582,50.69671319323513,49.51853347580413,51.59927833497418,50.628796518018504,53.0232182469046,57.36089861735633,56.04612931655349,55.19480189638321,53.945374026298516,55.671976564374496,55.69580723478306,61.425459646148546,58.702918175945605,59.52140011056852,63.81250445797028,63.762600171718724,64.87246307132592,63.82491776407138,68.12192579046962,67.63860645501327,63.4792440596767,67.5601984062012,70.61768481965579,70.887314670621,72.4368203031543,66.03002255293057,68.93067464943958,72.74454731609629,69.83922329119876,66.84863774987332,70.98302393720013,73.19454788607666,68.72837394650493,69.55765986844965,67.30403929398041,69.44745677148892,67.29119671126651,63.493098430190564,60.39671127891401,56.89807880486562,54.18681124562903,51.057873104350975,50.39981010542405,51.851560899896896,53.7714561040183,57.96481663259636,57.01214662948669,63.01422304055508,62.70354613031068,64.69405194600566,64.18339340205452,65.89268012658992,63.44329881671447,63.67241744970801,60.48842384650336,61.22737557890901,59.05365591465793,57.481095628454334,59.607441535911704,59.272732730250134,59.514633021307375,61.226615155333995,58.88743009290984,60.96999206902741,57.02967819032037,54.39518470095939,49.96304347364072,48.97874290573064,45.09611198154184,47.596228674945124,44.79053692823339,44.55931617272541,48.616953935034374,46.8222831699789,50.52841953778693,47.823535928223265,51.52621456264762,46.79919847651897,48.1185195551136,47.4518023264564,42.9286869808014,42.990953222430726,38.72912254265417,41.259194606841426,38.11570293929176,40.29436708961393,40.96567826278364,41.92883132510837,45.31966070750006,46.34433417703946,50.187312759734894,47.97736676898574,44.98317995152953,41.93024023171357,40.290497656530476,38.19612263364837,35.57874849275688,37.99052310510696,34.915560839617754,39.577717613921635,41.109956521280054,45.91491956996455,44.92027132792526,48.60868659483432,50.76097500647474,51.424080305441784,48.605481198918525,45.249020317998294,42.55266421894628,43.00328253042314,42.46723534266805,45.54416028692532,47.674133108100456,52.40071001867936,51.296045020599884,48.6365819642666,51.712269419918265,49.710963667957486,46.69842794459121,44.997075767956886,43.76769219381099,39.964084802907756,39.69659480895884,37.52259671155638,39.63619536292518,36.675850110613155,40.0518452453393,42.448968883342914,42.52728377622698,43.393964464524835,45.74726002737218,45.57660587516238,47.199487658356645,50.43010403856644,49.379099263666475,53.74885607137937,54.172387040525706,51.93043867983185,53.284286161618326,54.685811425497974,51.15204554768539,48.553893210089925,48.61271514759421,47.82424973163159,51.230610701495294,51.961455982841436,52.78073097340438,52.788872694721576,51.57761990764753,56.0142576860302,56.714004639878894,56.89273171189515,55.957348254127965,51.35172056402006,55.63996554595548,58.294752178192674,56.40147228090645,60.4349943132414,60.04323107321184,64.45731250836673,61.78816171355116,63.138480045160485,62.57810308271187,59.500417866635686,57.500727886355854,54.5675631244053,53.88077901524515,52.71548516209887,47.867082136467936,47.53548969102131,43.51140272765834,42.44943121387924,42.16214727357141,40.530965275609354,38.32648279649068,37.15084967792748,37.37825388387597,34.007155012155515,31.6799585314246,32.692711995864826,32.628271495907164,27.89189573348629,27.073258270895003,27.297174840170122,25.12135305105432,22.450248862472762,23.04709925599505,25.38502168478219,27.18894422536775,30.62347011490916,32.21692891048858,33.073304049860056,38.20459620488142,38.58732596864249,43.001458929305734,44.59105464069593,45.70962543260207,48.79312799568324,47.98615937708083,52.286461737525585,49.91105899377339,45.976354896720316,49.982452911300406,52.76416709534283,48.91523637467922,48.261555960350904,52.357750895383454,51.162554115155864,46.77751861418672,48.64666528360453,44.21286226462709,47.60312932044109,49.12988901580682,46.21573713719252,48.41370042479039,48.634399056878216,47.69155288513061,44.6772225495227,43.218241642474986,43.67306430693157,40.90795068914327,38.16613543557874,37.65715329178118,35.542427799886006,32.932732367947565,35.05646797563431,33.658079548364235,29.3576347063217,30.164505928967074,32.95123376793951,33.73420969756076,37.89339981987703,39.6672630904674,42.812689512017066,39.0464744825425,36.11197007643055,41.24558429867398,40.90210967783329,37.54945030866309,39.38224540250559,44.011415287398165,40.91779626684855,37.84899204473614,42.250806455460946,44.867931261324664,41.51701734708741,39.10440798992613,35.02234277630022,37.222897805317096,33.2013931985304,31.150322504318392,28.337197300053177,29.4021317406437,26.406950805403977,26.501047120380385,30.052264129081387,32.882167752971135,35.34441406586566,36.016908248382464,35.29613265201761,39.086899906317115,36.82069980468739,33.14386964737597,36.601767793848715,35.840686049391586,36.72727460732344,33.253660342395925,30.40156654601243,30.655588647127956,30.615665203110552,26.15446390642027,25.866484539085814,26.98274132189246,27.79234853084818,29.365983833024032,30.379291259404337],[17.95874608410585,20.25783564046632,24.941567339086333,24.9178574016123,30.7190005246773,28.763322420720307,32.5257219911785,34.81107062698794,34.148495758104175,37.46660910104738,39.150079630482594,40.47012003122903,42.679454283108605,41.062069932606775,45.46359283945649,47.291690247198154,46.91743184624187,51.30642582634769,53.86922509293461,56.47463255095812,59.777116865226155,63.47182692050241,64.24829168256746,63.3387074663644,60.8750003093917,56.7101877292379,54.60035017450962,50.788246197316475,51.28839411147931,50.20401387095922,52.728193547698226,51.593754136102014,54.23397503036174,58.54916947048982,56.97473261604324,55.98741464970768,54.5654154365027,56.06719813528258,55.865396228366464,61.444398297721506,58.650422816112325,59.77030670559952,64.0269692729048,63.75635683700517,64.78903593284237,63.52052711513289,67.8030345630281,67.47171635890851,63.14805740335174,67.02829426981211,70.24996673214014,70.50243839882833,72.21622174777353,65.87391675428728,68.84233791572568,72.75944698888492,69.89101059143483,67.02700515363475,71.26176385784274,73.4041313602198,69.11686735741206,70.19952088809293,68.1161295646651,70.24870325554521,67.91220461038225,64.14744928648375,61.236227252844216,57.831263045755975,55.1751733156687,52.234626561915604,51.55854829726024,53.214451515269204,55.13827734258386,59.17683209134901,58.21112769940812,64.29011062889818,63.68961124716728,65.80070666415087,65.05653191617387,66.5339036455795,63.99070208583082,63.949849432296034,60.753242708506875,61.21657024942683,58.983889715664624,57.70307670590748,60.011976630442135,59.86242943863415,60.25655449365587,62.25356905570154,60.03026216811801,62.350115894509464,58.4631999549693,55.84505590894072,51.32081061689802,50.590423952652394,46.59462197969699,48.92190017071053,45.99920751758938,45.78156461208069,49.55078955750665,47.44415290941772,51.0214933871754,47.98999832592149,51.325467917955976,46.47701729683051,47.5738474037875,46.61320510436551,42.06122613772122,42.47864948255334,38.266555195158624,41.003122586530374,38.16249248183019,40.22876319657472,41.29924920615459,42.08726501607789,45.65894868430445,46.50361352339964,50.68087292129261,48.657646173486874,45.6551682491923,42.58743229978024,40.60083807956991,38.420057664258536,35.75435870404158,37.70087214204827,34.45008647332768,39.01389903850031,40.32496120699713,45.19895555623336,43.786492515771116,47.428466144572795,49.62919382017889,50.590482095637725,47.68918132101769,44.54616917319166,41.48688210393941,42.26929259694645,41.91048260247642,45.171768536447686,47.314014311696155,52.10698065883564,51.27977439638777,48.584429605996405,51.67879305079223,49.91297653606454,46.817030083527115,45.260270988091186,43.916459596600795,40.31538240976127,39.94129449956919,38.195069401733896,40.32175415551204,37.787649038966066,41.25732028650532,43.364374264386136,43.318959583998,43.85450922171074,46.27169585034279,45.64128656692122,47.038322221037454,50.52691043162451,49.17162644229207,53.57172099874888,53.63193344404925,51.2039590142817,52.347683465136726,53.54725203264543,49.88132265773604,47.50250646142871,47.622684446524005,47.13282917663804,50.67838212197894,51.59412419227316,52.65329348933372,52.78166212276679,51.87329921820184,56.23945142388986,56.729221768108616,56.74988010177467,55.569491316032156,50.938115517813664,54.944415248303216,57.46521252058846,55.65396046309651,59.891644804555746,59.7344141373783,63.94918057047811,61.17901297238251,62.352126534562274,61.58335926765214,58.59422420803724,56.349796843553555,53.347642486926176,52.54611114756985,51.17297291291245,46.37891537173062,45.973649313645495,41.84594521777513,41.1152113286664,40.573834530794116,39.288039581630066,37.1454223842949,35.51777465434055,35.80552742879772,32.76309507291208,30.06843655991921,30.875309897213096,31.217723214342833,26.56562278547017,25.316282964552283,25.568712837714234,23.94020696632265,20.969034944669282,20.969025890776628,23.131231859665323,24.93520345573489,27.917486971572554,29.844807814320966,30.727965744683562,35.7216045904868,36.14104937601131,40.535092246907446,42.41098073695463,43.61970849582693,46.855012928618635,46.275122705364026,50.39491791124081,47.7669872329898,43.987332121028295,48.126070523756546,50.61323854417059,46.686380481859,46.25172752587121,50.36260900025658,48.84471091259865,44.49506476409322,46.727484469616485,42.31839812548651,46.088505490021106,47.53620439865377,44.678428456700516,47.14713860028664,47.45046762044747,46.772117438700555,43.535447851252336,42.045333224769266,42.87291723864013,40.144432731984665,37.086005107528315,36.818565947584936,34.94861844899189,32.02543209069761,33.92597921882135,32.84350836385989,28.668123624197406,28.900378858438668,31.584783454466137,32.09818452180649,36.297284583555644,38.166716914238435,41.05990583716502,37.09653845379852,34.253352661415576,39.34353831163152,38.68396498237628,35.28747851897258,37.259569879314256,41.66621766584552,38.29790996545702,35.37861084498469,39.88987571424124,42.232275722321376,38.70629397999888,36.40140592401545,32.45171342071762,34.31927873040893,30.36761683902182,28.242564073039215,25.777404360995952,27.177109689900703,24.62373823957911,24.403829689306544,27.957962150369482,30.531266386608586,33.21420436502647,34.010484074557496,33.79613913775907,37.71786095745875,35.83907897038269,32.203615963820404,35.90938592929121,35.14554072678229,36.49002012018071,32.878825953330804,29.81177789855457,30.544020172301607,30.698099595971854,25.879438971794134,25.635031567205314,27.272301677774614,28.322384934734423,30.073913138930894,31.182969226399212],[16.179295999867954,18.271700128659415,22.85105362565042,22.23249031411706,28.154319945951407,26.26444961874372,29.878778487016607,32.39464088949001,31.543961272399397,34.63944677358232,36.39004830960158,37.94994257279303,39.913288895738845,38.119688506025305,42.61958802128648,44.49335012606705,43.94590264210167,48.28242191167051,50.695502558283344,53.38426158143741,56.60929352163956,60.32926209623758,61.025416508663874,60.059397643303384,57.66496262398905,53.489738096806576,51.46763984003951,47.69134776374538,48.313815911722486,47.39899833979116,49.910439556022304,48.9700017228343,51.69921173511492,55.912246440523376,54.280448776190006,53.13856876193743,51.855188014056374,53.152264489227264,52.91844636950129,58.57615229119916,55.630385283296235,56.68856105077268,60.97139949208264,60.66543777865045,61.61482564324814,60.36090048403596,64.64425221333357,64.36894764429785,60.111314358940234,64.00542089460227,67.26424893852892,67.55811709608074,69.2822910162099,62.94827393429228,66.01329691090245,69.84365386850811,66.87603208876739,64.08491274628315,68.35567739163156,70.38840755096668,66.05765093938173,67.18072678482028,65.15368624474573,67.15938846783553,64.79636508896806,61.10324438902437,58.105302128314726,54.780060361197,52.01989163088989,49.17545227288761,48.410239724170914,50.0732584160741,52.08713714414867,56.07137174436775,55.23197075248966,61.350043267405745,60.7433036802975,62.978850313836936,62.22686490913452,63.678625214682505,61.25808902125905,61.19290369354807,58.16331853039901,58.61028363069797,56.248889772447825,54.96016006549982,57.15086730672703,57.16091273786364,57.38217204896964,59.52800419811733,57.21196810392007,59.54226310639533,55.70328126273059,53.19630401651746,48.62918594291876,47.96140441277414,43.90280210661538,46.41081045655787,43.572461050274526,43.67532019225473,47.20712868255788,45.3152203840997,48.665656406215454,45.78702647376621,49.08939932179074,44.24480057579039,45.575780084232036,44.568791785089054,40.019753769923,40.42730654043809,36.04645140633049,38.508119203724206,35.54204165105988,37.40061229631539,38.34229460723071,38.991343214718796,42.52429397505243,43.25271031271519,47.406711443618306,45.49918674841231,42.440965352571126,39.43602710493609,37.364456957616284,35.287804990142604,32.766991325847876,34.80068000975602,31.89252370589637,36.4315967362976,37.93302932795187,42.847216988129404,41.473386070553964,45.28280287927642,47.267834462812935,48.26646758799465,45.14680552886661,41.86985920781786,38.832459509700946,39.37196015654703,38.83894303140257,42.113005239383035,44.09461617569046,48.90487637463877,48.07772852290798,45.453916694480505,48.6197289499152,46.93831979072078,43.840494534281646,42.437124573229475,41.259091814601746,37.72356950993913,37.64119036210441,35.96626873648379,38.41001037952037,36.07873493152819,39.313108159239086,41.27455694733079,40.97568204202717,41.587329167243986,43.76306384453297,43.205897263888666,44.36708888980735,47.732918429095335,46.239056426701936,50.69670553047545,50.7554876476922,48.2291550899595,49.54770151704437,50.71841354191595,47.1442496346636,44.63527493745506,44.854243650748664,44.26667039030361,47.91523876767806,48.90934522840453,50.004226837388586,50.29443522957048,49.29421237098411,53.82253862763354,54.14280038073893,54.28377583212101,52.952830402252914,48.49155108528914,52.51147279576702,54.9943529940669,53.04640709812315,57.15670888480879,56.879685236043116,61.09771196360072,58.222546911129264,59.5234343742146,58.81902962241829,55.876640255720375,53.74307558565506,50.82753717553942,50.175884350292996,48.97187907599522,44.13287973963503,43.97333501413088,39.958059759730496,39.22887987173679,39.057257579978696,37.77681014315406,35.35623899062002,33.9280070879302,34.57300405567289,31.326089842555646,28.35654511059758,29.67188452523159,30.319646777328828,25.222991076349764,24.157997974964097,24.904405020725655,23.04647197020466,19.72699234514977,20.347942197791475,22.194394252681604,24.757630835073588,27.215651579692256,29.100190452266325,30.411205814191888,35.47066427883449,36.31790286812215,40.45131197254744,42.26752406692538,43.168573865578395,46.29873847404226,45.4279111614139,49.56552614820499,47.05404800176091,42.924940146658116,46.974900660408686,49.56689525195014,45.52856125830846,44.85339015861773,48.8631788823026,47.45172076921935,43.04701037621787,44.90229535434696,40.68829305379492,44.40205345204201,46.082006276600566,43.466911087909956,45.945473124101966,46.56062519384516,45.589761061497235,42.2345960196198,41.177027168466424,41.959336680885116,38.90207670233469,36.04164561767672,36.095975742254915,34.141488323243955,31.109025972953287,33.46514633008492,32.55609203570372,28.156365030606192,28.588507032819283,31.583829329598014,31.858905585161356,35.995824332627684,37.50813749130093,40.55702147376773,36.820912649172406,33.50809120188538,38.51851048049178,38.1028200421381,34.622715966601355,36.1572495007013,40.83673619645945,37.6258519835559,34.29282860829977,38.622884399881535,41.30319311070746,37.81889173299472,35.2304171100528,31.051604993362663,33.121475745332745,28.95253879388235,27.272955654665864,24.267858291044185,25.69860548177982,22.82888185174909,22.373124758522128,25.94147624203331,28.6316883412519,31.219428516620447,32.248501856685714,31.669613150899103,35.64679862315839,33.484546544061594,30.157871686810722,34.06452859585379,33.61417755234447,34.757856511142734,30.89129089203542,28.18777280537013,29.03261432535701,28.633694420412212,23.91356587738106,24.212716863981004,25.935366988182263,26.742925373765228,28.40317262356427,29.659947973129093],[16.409375261255402,17.68983797355834,21.704665246144994,21.005054399185493,26.792966406945776,26.00394632388135,29.6589901376263,32.633227635809504,32.12196649892523,34.97577423881131,37.11654307595382,38.89489473744025,40.2634352664135,38.519388335192055,43.27339973448916,44.98099406229576,43.9963879364002,48.35817523975379,50.46970837682794,53.08564357398005,56.223382458009816,59.77870368010723,60.420695595981485,59.21131600122366,56.81800250196176,52.787768922904434,50.755560834787985,47.175691682257565,48.15714905409348,47.499377700068415,50.47497563640141,49.514664808616295,52.556035351619286,56.645149658848034,54.697846790281034,53.28780918969277,51.925540115450865,52.784428442339824,52.25270106039994,57.7639233304359,54.61072063620417,55.97785181209881,60.22280228463757,59.612051854540205,60.376256289778645,58.854442104334346,63.09967332435424,63.084708258542996,58.69290621842606,62.32364461309767,65.81595612004372,66.14731562495845,68.07992307217616,61.853814592219514,65.08419286555186,68.95396007124027,65.95043189716354,63.39571830794405,67.80296051768133,69.63349120895907,65.49981850140155,66.95723135889074,65.17350447102969,67.0531528327593,64.46350147373975,60.88615268241152,58.02870818097151,54.90194311513201,52.12186205550354,49.58315811713779,48.71688760223074,50.57729868838568,52.67917005966487,56.42627082309625,55.69891848813317,61.90464627816278,60.98313134859076,63.443090889812105,62.433080336829505,63.596921522084216,61.17860934844155,60.77176177334182,57.879696215228215,57.978220573583194,55.44788723655086,54.51820642000968,56.81821024535497,57.17517247044534,57.4278204420023,60.000267148065106,57.74629904440764,60.324744041601164,56.59819198341675,54.20762813846408,49.544252738397624,49.18803544917412,44.99877417429974,47.4428459495883,44.56450630614455,44.89610810031673,47.92985699905688,45.85336717996384,48.87186548739172,45.74100082333156,48.5501188615243,43.591044197683935,44.80129765539812,43.39327639119094,38.84285331590449,39.69850793856836,35.30612129437149,37.79522684752336,35.14489743753124,36.66583940322908,37.98239829682379,38.28072607398835,41.96718569295633,42.34876076680731,46.854691738186546,45.297381651433376,42.197336317487945,39.26941023904824,36.716073753984936,34.66589026557926,32.25592872936529,33.731829231240184,30.930454963236517,35.2600673415074,36.61073329812706,41.612935283253876,39.70817866529248,43.564742581215334,45.43257535488181,46.86079585387808,43.46841345690371,40.391375981028474,36.8834642222093,37.663289378892266,37.20620374364318,40.71673134045435,42.52435199393425,47.40562974393944,46.96538087802098,44.390728689408995,47.62966834545775,46.32714362706014,43.14860096708442,42.06727510389974,40.89586058934061,37.69258816507997,37.69874797974306,36.59105939387734,39.23067009690324,37.517853663359595,40.65874050586663,42.20186542923167,41.59689633370768,41.88057582545398,43.93497615371326,42.891428698117686,43.584614852090006,47.14188729152449,45.15510368502652,49.67672914963286,49.25875937994555,46.398703522088105,47.58571940485364,48.433482948613836,44.7720284940028,42.46663528288296,42.87186277642617,42.61435084057849,46.52284018397667,47.82000633995456,49.23929289292943,49.79943715873961,49.10160318160457,53.62911874653436,53.57562928199599,53.61671043137672,51.868178921617094,47.5355523984746,51.17877878063893,53.44351779484718,51.500944372775514,55.753032344205465,55.67758741764111,59.621314278619636,56.51235835288867,57.69679561106081,56.771570269050635,54.00169525794798,51.6394415924336,48.71665669610652,48.035012344805494,46.679319420014835,41.90517166138612,41.83996286480426,37.787760694235914,37.53996444062918,37.296203655170636,36.50952226284184,33.990404584137444,32.089541482543744,33.083017160097505,30.183626512729006,26.512975668396184,27.909735100090806,29.344251424317743,24.13933630210189,22.610886502956983,23.755566112858777,22.540811345220426,18.64180482783178,18.835276131752835,20.093024112970937,23.195156478658028,24.48369002639699,26.859138402697646,28.513452443674446,33.357402628570135,34.55575866624173,38.43400483637813,40.59941778505526,41.422564179929395,44.67229265179263,43.92682342205487,47.80474899891693,45.03505445970655,40.902466391260084,45.054989293683384,47.29246430109344,43.07319380579446,42.540841110174014,46.481540081046695,44.67662388491372,40.28749339129087,42.38415422423181,38.38518294362436,42.579878340002466,44.31513371456472,41.967874196803834,44.799722274574314,45.71930299610176,44.90874448749089,41.213979032323934,40.408494879302864,41.624771438446075,38.433769358228986,35.328964882054805,35.89030864147811,34.21049075488781,30.767580166069465,33.0909326122226,32.68603040699705,28.38991863274041,28.21735015339066,31.215472142525247,30.99145756886222,35.08636266998382,36.47985765848434,39.26134790258103,35.44164826632443,31.975316757800293,36.82003877933915,36.12402970880137,32.55073772197648,33.952429669927604,38.472745051451284,34.97606182200766,31.57549384591985,35.909406619655044,38.40855691122513,34.68831952913163,32.051193890412335,27.905137139813302,29.558857402402282,25.281936553995255,23.93663317553259,21.06477120025525,23.113518849724986,20.727099950038255,19.495697019693917,23.057668993474323,25.392754966787134,28.262154913716408,29.71299185455441,29.6032863534828,33.78924229382502,31.964889795290105,28.985911026032127,33.32692191188123,33.10515071195111,34.68800910060126,30.49765190318294,27.833911870155198,29.34211948901329,28.801957191387338,23.827875601028055,24.578913404906405,26.92251455567308,27.903243103242726,29.722618927062275,31.156503667314144],[15.905251212438838,16.4835931881249,19.936249558283613,18.776933164410593,24.45113873368191,24.34719473272353,27.86665095500608,31.191503233208813,30.773745984870512,33.332275988471146,35.71284286207288,37.719077743932836,38.60502043289165,36.82382750510142,41.733432784072505,43.349893452129564,42.039149848157166,46.36743102383463,48.23756369099293,50.832379698352796,53.880249617901484,57.343471144390605,57.92558949106566,56.568881915931385,54.204684617605324,50.26210728324197,48.26577452766021,44.824582648627505,46.05618837166958,45.62764413629789,48.84552544391309,47.97207458694068,51.21685268497321,55.16504645895342,53.020987534124615,51.392437957420555,50.062691740423745,50.57397421164283,49.86916735334121,55.32411873320284,51.99675560411291,53.492629067577326,57.717335941518776,56.93317037462644,57.56585171726325,55.91978055602568,60.13892423812418,60.27634961344491,55.85610321124299,59.36255794012955,62.97700708405215,63.35185826499778,65.3875245248467,59.230420023797286,62.589822560277874,66.4262166155841,63.36026296087062,60.969718944799226,65.45532501972524,67.12196781065045,63.08186019919189,64.73400887603577,63.1114014321795,64.8654152606063,62.14662176378258,58.67116911088271,55.86888067176603,52.89681849070567,50.08314334172224,47.77154780283,46.82341026757871,48.80659523920891,50.96981230562587,54.53802449047615,53.92071790832903,60.170982826748244,59.06468635427866,61.697106672581285,60.542179679937824,61.532584695604726,59.18430807804364,58.58372732318256,55.86571251138412,55.77445812537429,53.09291747649738,52.35075232375727,54.638373793068894,55.263359540972466,55.44550834993285,58.316137862254,56.0635436467987,58.78195513743187,55.15774084944363,52.89531590602233,48.18271070226262,48.04268938570012,43.777430134777745,46.24826588852311,43.41109135117633,44.041667606576354,46.64544900869936,44.60632540266593,47.29380804123824,44.14265529107481,46.658338362104026,41.67300738935403,42.96527060901801,41.33792520875213,36.8225832741754,37.89055927802695,33.42495047920299,35.728361570908994,33.19725163217774,34.39635957963206,35.84164063223249,35.87181748979111,39.604968595965126,39.744961272699825,44.42071108635452,43.11001966084714,39.98569043155927,37.144765787000686,34.295521386732645,32.319482669049336,30.068384357118283,31.26004143837677,28.757477280998334,32.91357603145661,34.30010356553795,39.33964514849286,37.20435477974573,41.17407843198109,42.83223105541379,44.48842760693074,40.837067230027436,37.79292059147048,34.07774023909938,34.8275747755066,34.316755821304284,37.93811321461683,39.57367135127077,44.48245663083813,44.246653096683445,41.73975210049444,45.03749305519264,43.984942832790715,40.778217297300586,39.96046211151988,38.8939958452547,35.93775835609643,36.16519980686367,35.42224014333698,38.32829148773126,37.09175123537408,40.0040308012238,41.21916544038022,40.306727030098095,40.453618172387934,42.28610360713207,41.030902323246124,41.33386263888461,44.90121153508884,42.5878275034451,47.15507571351808,46.49565203516564,43.42443730809171,44.641628500179316,45.318176793402415,41.679084056645046,39.399402911502015,39.95265610923136,39.80322169573499,43.88730257558993,45.37921967909441,46.97895345113553,47.770155914720455,47.18255101769412,51.775120368185384,51.43299682068189,51.494674841147535,49.451913865291246,45.30717577632358,48.75374775726461,50.88022786447296,48.86258067393095,53.096316372034806,53.053875078951314,56.85295101065725,53.57712817079629,54.77578972676474,53.78392172321965,51.12845795855829,48.73265811953822,45.86982099845346,45.27313833809312,43.963981300462954,39.211774335784284,39.36038100446221,35.396387786957995,35.384389428543145,35.37439913126479,34.83848614627582,32.09913779932689,30.131663710896074,31.54710846314255,28.712221503186036,24.541100950758832,26.345968531184482,28.363274910665442,22.894189292239684,21.313378106652316,23.00261727686706,21.96945203406338,17.665792992852936,18.126206201624804,18.783381925828706,22.643666214250874,22.942843665984498,25.45200071097959,27.567862183489215,32.28634063012749,33.96116387734218,37.47683442504212,39.70626880712989,40.25520542603054,43.45198531393019,42.55618178211128,46.30168672531003,43.52759727409739,39.163300590725214,43.265720697611926,45.4108288362376,41.05608660837825,40.41096873025392,44.22308626126414,42.33655238653199,37.93395126338385,39.84896714624281,36.114650216255924,40.46567958704758,42.38149380330019,40.351498694980286,43.333480726882854,44.60492544187946,43.67369276962981,39.76678949353939,39.39241420888859,40.768937215690606,37.31979522841163,34.2721134297043,35.29190631717403,33.70863546494622,30.050369236625084,32.63864113000814,32.59269016718103,28.276072674863844,27.967107668337285,31.125044444178265,30.51251069020455,34.47647339197634,35.536737209380696,38.277741632254326,34.638060643100495,30.800080810530755,35.444503742415435,34.81536901745776,31.183356446238896,32.1676165050795,36.781034608628154,33.32289985420153,29.602010770348162,33.75027216277077,36.41473767466216,32.66818624042439,29.80425136461052,25.526265801755525,27.157106809339165,22.686152315277486,21.909341327644242,18.67399975910056,21.01739878221494,18.680524448666638,16.84655287199918,20.35744277072371,22.583159298305226,25.484501965407798,27.310818158005706,27.160186321557276,31.451529202447436,29.6190327020222,27.077923378546092,31.723752636735288,31.840695441794693,33.50332134553732,29.017462107038927,26.674519664689488,28.579861431399166,27.607158174982143,22.681682734833565,24.03507925311148,26.69820576386336,27.653672749631124,29.48747370346653,31.121984094867074],[17.954188135780264,17.972937114268312,20.787864697210868,19.185748418018978,24.605815005566633,25.250924754748418,28.55776811672925,32.198991828649866,31.79360700261142,33.988680881979505,36.5377563188314,38.801853561532646,39.22822683206641,37.31487134310375,42.34795016671216,43.92940508873049,42.272400429039536,46.49998278469008,48.02787729756061,50.67297293964015,53.55504591746376,56.94615264672449,57.38919575647051,55.83242005472928,53.57958042401138,49.732950206895296,47.86384457093416,44.608120105554065,46.142963363163105,46.009389027622184,49.368266140210046,48.68106628491481,52.08534008482859,55.86539335491687,53.56768781997283,51.695184410075825,50.47134877484427,50.57300374739898,49.682718966042415,55.08464541508696,51.509125620696956,53.107819468082525,57.311598161389135,56.313415236411046,56.72672160185532,54.92510767690922,59.09304316785672,59.47680215508822,55.062648570205404,58.38252459567196,62.176203188057464,62.6252345943537,64.79341628582236,58.74481407615193,62.27648732392234,66.03616727894646,62.86708582149188,60.69949139507921,65.26888176028704,66.70082827144101,62.745008792116344,64.60096113843602,63.1548751490149,64.70215173930168,61.86208848806571,58.545014782099805,55.71542594923696,52.950862534487854,50.016895067116174,47.96094313030958,46.85770079881598,48.867172454942704,51.18518133828595,54.57675977976973,54.1763541102968,60.45980436227226,59.240337605519024,62.072744236810486,60.816256611687166,61.64832926525023,59.428115424892255,58.63624778354268,56.14866185959649,55.85600629459327,52.99332819316212,52.45352037408809,54.673772126181895,55.60854649139275,55.64291679327863,58.81333829959116,56.5088902556635,59.30010461918883,55.787862748995906,53.69237003346173,48.956373781596575,48.96595720830805,44.65374925156913,47.247637689098994,44.50222082303957,45.439167260344874,47.66181257805698,45.71720390380454,48.069964633285934,44.93672141712632,47.1379614919904,42.1493520208233,43.49875262119586,41.618555883684074,37.17170838071522,38.49326402359225,33.99710724607445,36.08100393625475,33.680912293091076,34.48145890019068,35.98555293328619,35.66566505807129,39.38344200636115,39.1677288786342,43.9512411195233,42.98912256619522,39.804795428223684,37.13301265654261,33.96423435461659,32.184729697229116,30.216499762790463,31.122455402639552,29.056669374492188,32.96067497184142,34.36603912113931,39.413281083264636,36.9647109350809,41.02565366435451,42.4333503239356,44.40131867656342,40.44180158409206,37.472858154002466,33.4782655611529,34.17554575147674,33.53940016589666,37.29606326636726,38.5748640683327,43.50600731259068,43.55412733691518,41.19888204905746,44.590481144071624,43.86062072140728,40.64468797792144,40.16709973242283,39.265014675406704,36.58223635361077,37.06421217292424,36.64118918340625,39.778981142870116,38.902758224277186,41.60106095819193,42.558667304390184,41.36330740192125,41.41857266583725,42.99492795211781,41.567314477507935,41.422855037493534,44.950867474487396,42.23737921015597,46.85394284756484,45.88506372078329,42.495059725327735,43.771823402866524,44.149365465751686,40.55456404223781,38.345938858722484,39.14453180071671,39.15941159769548,43.47793168769693,45.220085947083355,47.02887304814011,48.08900202880532,47.5995260355588,52.26319949092526,51.601917875188775,51.69831264694196,49.309493435778805,45.41430514538462,48.59538654099711,50.52826046671481,48.42788403749217,52.62074087680592,52.60581806188716,56.197493538334065,52.67149213875165,53.90357275498641,52.80528918488945,50.34369320090741,47.884713932300464,45.11052513749876,44.60858676247175,43.30895606438978,38.633773970747406,39.01524351857316,35.149050736893976,35.50108531447826,35.636833742442306,35.45214804844928,32.560299929291794,30.411035735294007,32.2085977332974,29.582759950459423,24.91702872245657,26.971055809329126,29.568093449617923,24.04234910940776,22.307277017196952,24.359769005415764,23.66474493588047,19.12970235676765,19.507730104705715,19.59497682456749,23.880419292148485,23.10296285713388,25.92188102507784,28.36362426480641,32.818233718884926,34.801537157311046,38.02726173548512,40.46499354854761,40.86582595473194,44.071181349965464,43.17299214026065,46.70055115179107,43.81240274071595,39.374100458300596,43.46186986752187,45.35784553998269,40.864785618727836,40.23605768049459,43.89656899416448,41.75427040003242,37.39390930156092,39.28966375880646,35.89306811042478,40.51854005269471,42.56402405436113,40.85664166967621,44.0338695258789,45.598814471709375,44.658205004048305,40.55066712505312,40.506115736438815,42.092483046587475,38.491339262780755,35.43982821991516,36.83647568090542,35.3930100250708,31.564563116752,34.225970113038805,34.48756582694464,30.249878017208626,29.70516677048619,32.86589386165542,31.929003661191096,35.76964251467271,36.63102297546413,39.206722804185674,35.63937779391245,31.6376519131638,36.041716931030074,35.30440916190099,31.65069397238473,32.3477453456273,36.85336175632766,33.27430650099251,29.41985757846394,33.4050163898118,36.0056775139223,32.115506965606734,29.14393654044103,24.89216403634925,26.12463478997164,21.52738834625241,21.402895413284455,18.182905779902594,21.052660837000822,19.076043079818774,16.44665984067962,19.781086572121293,21.62190878039632,24.67211347703862,27.004314850677712,27.021676261043027,31.4084060518765,29.673696598610068,27.648619413218807,32.559359817971796,32.96572208449636,34.73435064052455,30.034161711540772,27.97561854378364,30.213626050579443,28.9093498198864,24.094954798867022,25.876669315871954,28.753251301908094,29.673966808996667,31.48776167236425,33.22718072068657],[20.06834158984076,19.433547735900117,21.40215354880195,19.74491786643589,24.609323266235982,26.290179745105302,29.433165338197995,33.34362253137062,33.21469643369735,35.10955837312836,37.91415920312611,40.31614601070212,40.21432119294208,38.377052291054994,43.51068030733369,44.92218055619262,42.90246720425508,47.06043672897856,48.2721457034848,50.817632143883394,53.56937211478329,56.76700793275627,57.14627879393534,55.37047353469507,53.15632468116811,49.49982609696141,47.662247314122645,44.65592049103569,46.50755349756424,46.625867666683945,50.325974157366325,49.651375023446306,53.27229286517275,56.88828792361108,54.347159980034014,52.253079047365716,50.994349837793614,50.67830346356336,49.52176540323713,54.72080490794744,50.9744528199411,52.836229017039294,56.95644634594672,55.676393338393794,55.89493739998689,53.85175631416113,57.94099196946046,58.58226220548971,54.09440595222656,57.1227935871069,61.11912454161543,61.5963577640017,63.950561299382024,58.06370189008399,61.72485684539155,65.47605117608073,62.291040840407156,60.37119157569152,65.02634855052091,66.25339548796832,62.50714097698115,64.65060031915472,63.44372558686288,64.8469865749833,61.83136171007232,58.66420607684613,55.986494828477916,53.44476296393119,50.525752626523065,48.78498852718054,47.60433002464467,49.75179208016178,52.11641086235411,55.25021349282761,54.963911285252735,61.2503473405466,59.76985293647718,62.778916102704144,61.31051777947825,61.87648496136422,59.69557736161256,58.605776766402485,56.288640736787244,55.68104454066217,52.684881021013204,52.483652568381714,54.75896067696872,56.00925209218632,56.0527859612159,59.570634260398165,57.338498397421205,60.30857521713984,56.93717173692611,54.97596258803105,50.226470499942145,50.49625301894834,46.148469593396065,48.65734646281712,45.93631562651195,47.06302177738261,48.82552436496372,46.78234080582769,48.7891766183647,45.513425922421966,47.23048287078323,42.23850014600897,43.47935081636143,41.25443315676146,36.91952942490982,38.62829458405715,34.23316350910926,36.23515911297199,34.188921959301155,34.6158026743847,36.40796599424645,35.745241387229896,39.503248982648785,38.93860498997158,43.95434090487888,43.3536881129892,40.196984749266626,37.67505758821112,34.13613201201133,32.460040868118064,30.699140659089174,31.035545143687195,29.22338917952343,32.75885149304388,33.997538015671054,38.99624987804902,36.079040313846505,40.12216999158056,41.34190413674374,43.712104653447604,39.5207374730099,36.80292148889572,32.42440986131064,33.3122970797888,32.74293966199174,36.64738009525009,37.682311512851065,42.59081662855746,43.03129002324334,40.78349739440468,44.190018859519775,43.85059148195789,40.62734980968746,40.48402747663331,39.63170093072062,37.32858326373561,37.907849402373024,37.9778861194058,41.21856197900992,40.85111678236569,43.409997601745765,44.00699992428212,42.56747642900748,42.35349991943498,43.767066773418456,41.95072842113135,41.34443582673024,44.96238801355934,41.81151691308586,46.411718036361705,44.98966502147375,41.2944291126176,42.442964091044225,42.462110926102866,38.84683555520666,36.87950086686694,37.88673788324913,38.23400310349696,42.74804622493964,44.768098648587646,46.8587084238716,48.17243673879888,47.95343831169934,52.561883784982136,51.55038136157526,51.56874203331856,48.802785398960204,45.12195048019437,47.8876268675637,49.571565495267805,47.48514439326664,51.740327263309936,51.903571285859115,55.18570243382896,51.454952817724646,52.573400562461664,51.26854227880518,49.02398538316966,46.380479217886766,43.65504404071427,43.15752377671954,41.7515837658101,37.22662801693671,37.751954564044766,33.96661832081229,34.81465863737188,34.939156174457594,35.247789587489706,32.31545408609802,29.80807477567193,31.950192686485167,29.73884752456742,24.56883234624122,26.691687953890114,29.961121931926115,24.591468523532203,22.57691123704712,24.93350474151811,24.811500454023548,20.13577883084332,20.182845834744253,19.589722310305625,24.1845460006303,22.11270772534946,25.291305746367676,28.035714341990516,32.086819901480396,34.396081392561534,37.24975072354886,39.95329495415789,40.22094109270443,43.449949259004846,42.644521096218774,45.8573349459021,42.79024443338569,38.38757271070001,42.473380917431186,43.99506162493335,39.38017512872541,38.87049582085219,42.36489069682297,39.86253444986907,35.59951580768583,37.63976275895437,34.59823410488269,39.601489985948525,41.69509727413691,40.32579294103077,43.76544001419954,45.61776667183211,44.79962802387775,40.46351554338869,40.706092473853175,42.62517930105535,38.961563371311584,35.81343712061061,37.63887604898803,36.455604364389664,32.417192992390355,35.00175182146478,35.67902427461568,31.65710180691951,30.68155182129008,33.74712131040726,32.40085080742986,36.05582915093695,36.73666908139767,39.01709003389527,35.51086068123128,31.44141922511939,35.511566095849076,34.56336753098816,30.931526653366173,31.378984126879303,35.624972104836445,31.880875205512748,28.00114230425489,31.806252949946654,34.207921652991274,30.163599763934936,27.15926854267345,23.064248199418245,23.737817461327246,19.12230632709715,19.674222360963338,16.71478049020568,20.185342550935296,18.900696507898985,15.44592124532052,18.434679909595307,19.667916709371408,22.917086240222247,25.737095720981543,26.210786178506705,30.647976326762137,29.285344684131225,27.77230988201768,32.90557065590917,33.540939999109895,35.59732421941757,30.777680525431723,28.893645586165476,31.5817595632513,30.17057171375056,25.42323430050044,27.49234751486607,30.698299718633315,31.66111525644931,33.508423535255105,35.31268579962709],[17.537376726508263,16.200470815627895,17.39906260144421,15.4072276325838,19.954958369863558,22.158824023636825,25.14044832579553,29.19916191469275,29.309017886650633,31.050460919116368,34.056783809264054,36.457818049229715,36.01658571328212,34.39338685434834,39.54998624563028,40.7671861638216,38.61965674624103,42.812296924350484,44.04953431107684,46.4094862792718,49.227299835649085,52.30107194587215,52.799732111311826,51.052855755757804,48.708640477869125,45.12055566732683,43.14460092253794,40.18009420326278,42.070395405379706,42.206178270622516,46.185006254202435,45.37971615443032,49.136147801076724,52.68006090982017,49.98339729117463,47.84123785499849,46.476296129040264,46.07189354633872,44.83920080047827,49.94986327548199,46.265654222019656,48.24869081559264,52.32781089017422,51.029281091109134,51.33731009316658,49.28478482481115,53.391228191965965,53.938773485870605,49.38788979407948,52.4431314885293,56.39113117043849,56.82824472059598,59.17740785950591,53.28452715470179,56.91557831947651,60.71120685735543,57.58842396626243,55.65578080824305,60.31512148655016,61.58680587042468,57.92602058614262,60.143531520141735,59.00402231040891,60.48553195714428,57.40532401851214,54.21077531915771,51.752091244210106,49.22430314714461,46.491098147358706,44.85692039190658,43.79031475895337,46.15979939125214,48.34412077986612,51.33509533980822,50.90412009763317,57.16432492828742,55.463201884462066,58.48206039856046,56.86707795428206,57.305063423933554,55.068233393693255,53.8766592601481,51.57160129229771,50.88026919654804,47.8763773266212,47.76412349210286,50.115777204028,51.42854102185838,51.58197820763242,55.22189910315664,53.118800600930484,56.255706336960465,52.95745528558175,51.01514773802004,46.266556544877865,46.77261046300687,42.41774839226504,44.70387412856958,41.96647514786518,43.20367620524368,44.615446336141105,42.52414099182862,44.311281839399186,41.00666508164652,42.55083107147163,37.5813084020087,38.899381417171874,36.62962323634511,32.34424109862179,34.09171354001649,29.687718510914205,31.560111344441466,29.65866815088349,29.956641441202745,31.954156490820832,31.25059878865488,35.09273524976712,34.572222167869306,39.76773414456213,39.14960767205072,36.1064753575873,33.54494930080377,29.902237421471238,28.093249889045424,26.290277618971075,26.327129774774907,24.5819375107815,27.98408520112548,29.243246722249186,34.22988167677437,31.33389190196718,35.45133663512541,36.57591703138682,38.925636339407745,34.682057712198315,31.948675320859724,27.583970212420716,28.48824216888149,28.030891690766204,31.93764055252317,33.1845709162943,38.07203229730408,38.51800014512223,36.18165058864337,39.521317086030656,39.225868534169464,35.99502275576837,35.90128038928858,35.021990489912504,32.910600587828064,33.55502191506215,33.94484022097538,37.29528437791073,37.38863237310375,39.74376024834554,40.02414648018609,38.40567201483164,38.026662446911594,39.33696304633829,37.34031539678087,36.57732176363925,40.24884840780516,37.04387624153621,41.61924931521828,40.169511441054105,36.54981558028548,37.654506714597126,37.794532556117076,34.165542635643604,32.1414902360392,33.07472424612733,33.40384769934193,37.89597657010978,39.92758655382167,42.06421978773551,43.44046880481253,43.32019550273288,47.896145945522285,46.777976789336115,46.782067816183186,43.9531597763149,40.32049584647535,43.05547336364185,44.74004765050873,42.632738759467614,46.88733174034187,47.081856438219546,50.36823392692486,46.72411107423237,47.79882437684795,46.53766048494376,44.22601821266546,41.6298377345755,38.90762581544825,38.460127200667,37.178822814872724,32.59971150863728,33.259070834968014,29.588137426128952,30.363995382631806,30.842960998931716,31.133443919262817,27.99586268198921,25.73726468358896,28.213367550018464,25.875600324780127,20.525899460891523,23.19329184425148,26.721570334909284,21.14436988485142,19.427575612745546,22.30880981777955,22.053008166482574,17.319309974531823,18.106332710100027,17.031363368735708,22.323881843026733,19.872583443698993,22.59820460378929,25.764525570860343,29.82409327898599,32.630604067957286,35.06913069599211,37.44701555560003,37.30505406294355,40.309354707446744,39.134899928984524,42.390451469053275,39.59402212185168,34.81111907852972,38.71633223408048,40.47656350397799,35.85047610750912,35.00073467394308,38.397700116647755,36.230782119650165,31.91021378993366,33.427901428100895,30.50365123027788,35.29902783137096,37.58634183190637,36.4432784019265,39.81416134744788,41.944152248369456,40.85312827059304,36.46464715548343,37.15119295044993,39.009605962944114,35.09905309229573,32.20231718564625,34.37124219098049,33.19827542866794,29.133245337004947,32.10024830184309,33.00890264088998,28.981453038333783,28.17497436700826,31.453383819057535,29.87124311408425,33.29984245089585,33.52182515394656,35.95921575779809,32.86849717325617,28.331598565981604,32.20177739688488,31.67757531768182,28.064235550408604,27.93020349739335,32.524556563884296,29.247016157608996,24.871032933804845,28.352590950264613,31.309408867584448,27.597330464320947,24.238570254122124,19.838284361430564,21.261036860029026,16.483356589147963,17.50470730113571,13.585765050473919,16.701193028390655,15.073929180868577,11.386557878476815,14.2657308673688,15.818590089709392,18.75609610049035,21.660862440637676,21.677369297158908,26.099298770419608,24.58165454193717,23.400402708758964,28.636401497863545,29.576277148056032,31.55905612944758,26.596696660591025,25.108543514525454,28.026538470273394,26.25061725764348,21.755278654657513,24.354345359125464,27.712083288046543,28.62669305909708,30.471606998163164,32.418078104524774],[21.14344620162074,19.617000964423685,20.300675531718593,17.59045532561477,21.637602242424627,24.36174827918688,26.86580922903102,31.17667864604264,31.043892419415617,32.22028735305919,35.26467410123961,38.02479542298052,37.087430751792155,35.15246260988447,40.361464179773904,41.62739161833826,39.084989115274745,43.029892758079626,43.75583238749483,46.27643511786091,48.79435475426144,51.835466021536085,52.068943778860245,50.07633582809074,47.97916944979461,44.495315928171685,42.814048054293025,40.10914841818043,42.371600311835536,42.940047060863996,46.854856966761396,46.45718591425599,50.30510078822477,53.58572922514227,50.807503600278224,48.356364038678194,47.28096514256968,46.33887239102128,44.94231729495905,50.04228136663433,45.98747520196535,47.942742057347886,51.9979759468778,50.473528717719915,50.44269800553558,48.266776700702295,52.282540175976116,53.16588568254563,48.74790171600092,51.59662535573485,55.74102196915095,56.337184675396266,58.79440735567348,53.06089060691236,56.93575584787314,60.527709473168414,57.207440052813396,55.58334412239141,60.3106025381964,61.218099570559986,57.59342704165206,59.995581863102814,59.04903165377651,60.18501473687969,57.01262357966947,54.074904916498696,51.45374306714117,49.22561392967129,46.254419994799335,44.94123533334057,43.620835580772635,45.900754029569796,48.344833153557104,51.12792568981342,51.07437117394203,57.33137786498127,55.624950983846084,58.89639281358386,57.261364346490836,57.58009263494694,55.62079452821975,54.28193219033446,52.37680705683153,51.53154745853308,48.27645899435288,48.31335107711786,50.424509057659264,52.12984393469411,51.94201709740179,55.89128662745332,53.63603662973467,56.74000776980979,53.59882984289172,51.920962859654445,47.202045808144,47.791430098306265,43.44102485991673,46.02169127499971,43.50565230223603,45.194314128276766,46.196756056756875,44.44290042655538,45.792341562049444,42.731884193079786,44.005506786326386,39.14536597483331,40.67444790251129,38.22324869711543,34.11721693619527,36.00234267205465,31.577300477629677,32.94766596247295,31.070265156144025,30.79005582799371,32.58464570593801,31.401777856786588,35.06143357221103,34.028306103591575,39.164365680232315,39.0422380772853,35.90974375338871,33.6684029484503,29.725452307799014,28.350885140505945,27.09643216295139,26.989801688672696,26.13909964790358,29.13893411274208,30.564181144828634,35.4442693686481,32.35738747615224,36.59631725620437,37.2585088148749,39.90383409194027,35.243665553767,32.521485763256834,27.997786333076064,28.531695312512653,27.70386855070989,31.686114170065288,32.24557528400168,37.112489033683154,37.87529773661925,35.85071254020216,39.33008902930935,39.43957523446013,36.26890341020394,36.65755865985375,36.13420834399006,34.34283524831727,35.44063114966298,36.034630043406054,39.69007117643944,40.03674059419962,42.038244560491236,42.116652211158474,40.15930910889724,39.84755396048384,40.71686473935993,38.754390024166014,37.42096649980672,40.82620020315549,37.16034867661678,41.77366521470611,40.03856453994972,35.996812863499926,37.35758584713552,37.0933763736567,33.67526750415274,31.636222875611626,32.971405138886354,33.37443963113608,38.14521544226174,40.4663954217911,42.780840920904595,44.511864360417036,44.35783916334417,49.070768456744375,47.573057793818755,47.733597699532105,44.50763494424636,41.33099771987474,43.79118232609446,45.22681358030743,42.937721598075605,46.95991066182183,47.04330567292111,50.08933510215542,46.08433259647387,47.336582581709116,46.03348368827603,44.020130401402355,41.497378347805125,39.00173050773029,38.8044373424554,37.69468248819569,33.27469608275932,34.36379876528889,30.989254828297927,32.10846447199112,32.944437086275705,33.529711956289844,30.202387991319192,28.007871489013333,30.90015631397985,28.707039533384048,23.08918424203118,26.082815143154406,29.994407323149474,24.437511406620498,22.808693717486616,25.919875572278258,25.755089125734518,21.04042520905889,21.92076586161142,20.51820913168156,25.954992276555732,22.69768934470754,25.552490115942682,28.95169627000504,32.67436012561449,35.726172296965785,37.83797328286303,40.33645342426657,39.98885945608422,42.910852823813435,41.65142307000195,44.659905003117075,41.85582650422247,36.97690781138044,40.73399009949228,42.25782323975767,37.542351182514636,36.61531517454774,39.716946069993035,37.36405623653913,33.1711498729155,34.40914577854595,32.066961203157184,36.96987353147261,39.462466160593664,38.764084657094145,42.224314397921354,44.68101765389871,43.46104740835768,38.96151102612658,40.07977525206034,42.00990434008187,37.92594024817885,35.20928059200231,37.67986812191848,36.56211905150172,32.48462100092759,35.58504319523803,36.668060242048284,32.68423180879527,31.875009626906085,35.1550927172644,33.38180693037601,36.63621708337273,36.60667344770317,38.91893008011539,36.019058953641135,31.35187386503743,34.88043932472847,34.357961381136796,30.81331165681401,30.262305822305162,34.70635161607891,31.451859074367068,26.96501400645911,30.047550971783167,32.96890835660211,29.226336049117048,25.77017086691675,21.54264201457067,22.442159213126725,17.709087975037153,19.7105828260817,15.976956871268865,19.36716397921905,18.04594544893304,13.846600397000756,16.1279142111361,17.07891263388964,19.916916539723594,23.43589215371576,23.367736621270723,27.712557816249582,26.11743983286501,25.715101721272116,31.063589950648566,32.37592951686159,34.22630824381798,29.10860524474926,28.124373878806868,31.14433053546747,28.864458676776845,24.75736419985442,27.76144086014483,31.071703075335016,31.835829373483605,33.554566434914435,35.58564689088707],[22.084353838405058,19.915836178605648,19.474931045489747,16.510723529546777,19.497416563550274,23.23443765206535,25.303498003056802,29.780500211666286,29.943620874531945,30.703848566924343,33.97833811493524,36.80795010814753,35.25468867768032,33.522091619517376,38.715043690502206,39.72020017126592,36.84143904584174,40.678685690809644,41.15018612966924,43.45919995898603,45.886163389648324,48.68642935426744,48.93726444525119,46.81141099283177,44.67819234703468,41.41077627518901,39.695294640010125,37.2511380612994,39.772466749345355,40.56756108887887,44.840705003270884,44.41417502157047,48.45692221208388,51.5213246745333,48.49940517943409,45.860339347391566,44.7375254413322,43.40113820724676,41.76761831841943,46.635024935951506,42.48862111718666,44.68727415392479,48.628922954271545,46.89146635682444,46.76104766267577,44.418567893087165,48.37238823313792,49.385811391867975,44.91057352578414,47.56004836738037,51.80550044905281,52.41230648370067,54.981422699615266,49.38320253097529,53.33541738131083,56.91085986605445,53.61056964517644,52.177637017131,56.949425542536204,57.714618196551164,54.303534031753415,56.94684734744906,56.2247591180434,57.285703842494534,53.96374578135173,51.1471888622488,48.784677367554565,46.75939076251327,43.94160293487439,42.95658858166646,41.66315345550161,44.16192812798754,46.49532079887301,48.9625912621486,48.91176859774749,55.10007731905063,53.08293795638223,56.475559218072284,54.6144966253988,54.661221739397334,52.7353254924487,51.12993907540795,49.41144785978093,48.29905345472573,44.937676606068045,45.270711042240016,47.41857627006484,49.405096947866674,49.25783751325073,53.517180028744185,51.398741582460076,54.7030326970357,51.74446607166774,50.207253681400836,45.537529323605575,46.453524189929425,42.13842549560197,44.50778757311338,42.061013815062196,43.976836606175695,44.39080765123781,42.626179602567035,43.52431166953358,40.44714574628892,41.24500605140309,36.49174431456703,38.045854136851425,35.36252078151048,31.475963469698925,33.60431463668848,29.326075066837575,30.393641252378856,28.89525239103657,28.16525708553414,30.227448250374255,28.726432950857514,32.37925445840675,31.084669558994346,36.44466500066839,36.61149320043247,33.623925685862375,31.538080700162737,27.309813001908278,26.0087787582205,25.003193933347802,24.247285768217292,23.865944761196598,26.325587040901336,27.67363789309093,32.38900656260696,29.048766851181384,33.30722628154296,33.65386812228905,36.55750035822279,31.66986842859681,29.12880858876414,24.407216350161445,24.969863373247552,24.211282539960624,28.25233527426298,28.68566497094194,33.47986619697899,34.54924024130615,32.5967679738686,36.017388503580875,36.48101249990786,33.35302179688309,34.07356443081834,33.63754019467863,32.3204023901994,33.586563078865204,34.71802822825884,38.483539670693666,39.45550929877477,41.15322766086626,40.77768873848029,38.532213929503285,37.96329276932922,38.56816147339648,36.28032022439989,34.45371435104896,37.857691222663526,33.8315567621415,38.37390349560339,36.29196244431868,32.05977446032356,33.34925331377144,32.87420017930294,29.497992793941613,27.572056686418854,29.06716228363349,29.68259766197082,34.571241302265335,37.11129083420315,39.643092292183,41.62205833855617,41.696533107689405,46.32797170159494,44.49142103849736,44.623479950314135,41.07845231862461,38.19285599127819,40.30378737480678,41.531739570674546,39.20869883789207,43.19567741075152,43.38800788298509,46.19798545795258,42.08305657034359,43.26518047456886,41.870101778486735,39.99851125073217,37.43386701386952,35.03661211851723,34.94912580365153,33.939418012383065,29.651466526402714,31.044866047825725,27.96230997287972,29.367231399201582,30.56606782272989,31.456648571988634,27.986848143330135,25.89235902347883,29.24384881298091,27.274099832702312,21.43937238014913,24.83831383894727,29.199858868093642,23.815894636342033,22.388295662755993,25.8862970104423,25.905981360684873,21.371550827121816,22.5556164540404,20.576708777584837,26.329795832205118,22.23972050701923,24.79662553360008,28.55218870311839,31.90075115040947,35.435034775854916,36.95702876132421,39.30565798101474,38.55126672866747,41.24423755988626,39.74709643193965,42.5325352770238,39.89671572873799,34.80016295540267,38.305379718326094,39.75421341786039,35.0226077460064,33.870871604007945,36.682212759657375,34.40794673080606,30.31668640116183,31.084963182348403,29.245175122373418,34.1097200853426,36.79780231298825,36.575049110158645,40.076363028981525,42.92155440567993,41.54696282127878,36.944048557628996,38.61652019056818,40.643901711630186,36.388659841131485,33.91423730805402,36.845440965100416,35.894822418826486,31.808677160626534,35.08515097129255,36.524084572318564,32.745546655788594,31.884932155930745,35.17747136840685,33.072777773233895,35.96258338142556,35.461277460900426,37.672028647920904,35.21569138914586,30.27287356319175,33.3088563220845,33.02554812894705,29.624015627364052,28.40585083019538,32.84413223421958,29.969577364576015,25.190733033625374,27.696636753905228,30.892582959971502,27.44527344592513,23.769181010388962,19.612161791848067,20.657951180689796,16.090925958855966,19.00107302315068,15.022053167904225,18.18869672700684,17.16337715583225,12.653212605607136,14.079838911828688,14.623026131014027,17.051356240857434,20.98628973532274,20.748537212703635,24.92581238150254,23.445865704377688,23.85079430771135,29.236789944388246,30.946883624841025,32.80972187707775,27.648377290355484,27.197440965354755,30.515457673389555,27.902526697422637,24.273146584669732,27.709693806099217,31.14362194713716,31.840733200965488,33.49605856989475,35.62507059502479],[22.266583672631825,20.277653053297186,20.00703244659239,15.91133867932551,19.07164855848363,22.112817727176566,23.677118464343085,28.231050501044383,27.73279504183946,28.03593072485835,31.123353633828785,34.30167639936611,32.641592658786834,30.411208041275987,35.60302988066557,36.856662094866536,33.883815252474434,37.536204398218004,37.808933905157055,40.45588754078667,42.72892320650933,45.78004399422815,45.82252015038895,43.72269340411136,41.79501367272783,38.33960303881372,36.91368704293941,34.40242159106714,36.97623887400713,38.00451133159277,41.811222309897346,41.88684851860058,45.818387201984706,48.744920114445065,45.89563651451761,43.12565529838603,42.42061216594766,40.95326937093725,39.49454499280367,44.70112370451042,40.32218375458833,42.08196131888712,46.14880407320284,44.56811220182269,44.34495255261007,42.24890084696221,46.2523790850343,47.23507828979139,43.03230287969463,45.958018918501566,50.104870325800405,50.85551473009531,53.25581572145169,47.575667197958495,51.644246430275395,54.97222556903043,51.43967573176978,49.99961169638625,54.740866653364954,55.371076667566186,51.67234805699036,54.13887839866661,53.32105488114582,54.17525312878215,50.96685567521533,48.227189745440484,45.46542857889862,43.49177294894118,40.371487708474476,39.383964902827685,37.892508907966494,40.193065274748186,42.751242371354465,45.28004095142043,45.51160844065905,51.72835269924186,49.99678066228524,53.4913679874885,51.86033601368481,52.1138824112556,50.4815979010312,49.11568170435676,47.674720593740474,46.835117434373444,43.321050992259636,43.32397624945741,45.081067668799314,47.146232237689944,46.54339604580642,50.768741030424316,48.36680070497015,51.44999345542038,48.51164208016988,47.143573083466,42.50292711318637,43.276273292755285,38.9822415313479,41.806826267529686,39.61786576447854,41.96672738455305,42.31977385336879,41.1620691716172,41.87893331092079,39.356605753159144,40.50195346311281,35.89814527165885,37.98807533548906,35.61610428034043,31.791515844663685,33.4694310904886,28.952541456132902,29.37299697805422,27.343324220543963,26.3168673265521,27.68691801939346,26.013214572368103,29.42169793083167,27.98321130073821,33.02064120554007,33.28693171705508,30.127238901831188,28.208626339890532,24.019465665767548,23.109294064497213,22.553608416502467,22.45685540618384,23.01565376012736,25.518414332671306,27.449809422325142,32.11959606345396,29.382600399435628,33.88164513788152,33.881658996762674,36.451332654156644,31.359327689577558,28.327953894267043,24.126006470484835,23.727533159219973,22.282479646091232,26.19713050820579,26.159632408217252,31.01236226935568,31.830527526826682,30.079135860801617,33.693866449224295,34.07874282905456,31.01166655500115,31.899962629802427,31.89437861381334,30.49097258176128,32.314847404342665,33.13625205591942,37.266862083020975,38.090204890680326,39.390788536872975,39.09768011634871,36.631187090658166,36.49751289722968,36.674775779810496,34.980597344671324,33.029575724284115,35.931547901059446,31.949268515728264,36.60632596872282,34.92819723397827,30.678215744396557,32.596473554880134,32.30518359945867,29.29204481945083,26.81052491697799,28.446474729857574,28.48893769357591,33.4330957847934,35.901759186531415,38.22127654251207,40.31669010540787,39.92580972999774,44.86212034807,43.01485122151962,43.50407970197688,40.00719161299013,37.40979495067012,39.86796356435859,41.19773653575777,38.571656713978975,42.11518359865375,41.832692923511225,44.88029354709722,40.644769858301345,42.28879499512128,41.24531448589394,39.35377930946319,37.28088752272778,35.12501442478077,35.41101659455478,34.90766008972698,30.550469732757264,32.31438606566887,29.536408697098203,30.4669860200773,32.306933847789786,32.74433668531722,28.984351435442544,27.678381525609726,31.134482733133346,28.616269013143913,23.13003088403997,27.05358212026652,31.008315241734014,25.262450674256034,24.429824229718633,28.031593593961087,27.33611196728279,22.90025166334348,24.90885235497869,23.249395660134127,29.131560388474846,25.77310027849023,27.88004782674926,31.648065649233807,35.26227824504016,38.80948448480028,40.370658501304426,42.36697656216473,41.41912225132962,43.89942712417116,41.99997519964283,45.00574537630534,42.74605591742973,37.317876182967886,40.577539325517435,42.446916074250055,37.80717526986531,36.23187583707403,38.911572759916965,37.173543112328296,33.06956030913013,33.02200227885577,31.342350411595017,35.587864857543806,38.54399578421527,38.422020059431745,41.589199727542166,44.52838477004126,42.66752449892936,38.246277757233855,40.22371626228931,41.81436399367386,37.295556899773246,35.30231761302825,38.14610740768391,36.88613264694259,33.04837179946596,36.794890220665685,37.979006591914505,33.933971919221705,33.71710337935228,37.260956781000225,35.37833355461666,38.2631889102586,37.53372357684534,40.11526337163618,37.937204450361186,32.72077969772045,35.81310727660022,36.011436567867214,32.6314633203577,31.1193060602686,35.94143399357727,33.49217330070073,28.452311897705513,30.7140613575578,34.380142359069126,31.24059042203351,27.414820041703138,23.087705874275894,24.70592035505233,20.165782048624738,22.9595087034786,18.4678734188388,20.966916209371856,19.035796515207494,15.132821844314515,16.610564666903766,17.762245985922824,19.574758595315775,23.317413146543107,21.95142835019954,25.933049783903225,23.569868342122735,24.30398455249572,29.56714783594683,31.565861436443594,32.76903190735456,27.47267495359802,27.622317760947464,30.549400359489244,27.193079171305115,24.101302240202067,27.978390033339664,30.99436892471931,31.411171971386185,32.85248092521484,35.100199754171335],[27.0123115739524,24.824488470752616,24.06169359091525,20.248427294950282,22.540858024310037,26.403863313150527,27.668272996662026,32.286133928277366,31.960013987825523,31.84187215982367,35.01140505579354,38.3172293146689,36.1142191493403,33.89503402805249,39.00586096066726,40.1068583595556,36.72571232914557,40.06863653302511,39.743023736598246,42.31847845770952,44.23110661721743,47.00665566936972,46.81814321433065,44.36976047237629,42.68216407874506,39.574311932831876,38.4018923103288,36.37799855464519,39.38659696576892,40.83338935496744,44.81135348674349,45.08244995199233,49.150481007319385,51.76954225858695,48.7259129026736,45.66656273224387,45.08268735739569,42.98330333837132,41.20190711066149,46.07177018894162,41.3960120743917,43.38267568003714,47.26623806617611,45.27858208957141,44.63328179034371,42.22061626013428,46.012218815071925,47.48487912200893,43.34959328215769,45.764543203998294,50.20512509483062,51.074254457935524,53.70963615304854,48.37585924192379,52.65843150748612,55.82261931925597,52.2070201497781,51.222674418569824,56.023364913864626,56.230277475026924,52.81830582266496,55.64158089478842,55.172235086955816,55.68203259003239,52.296523447308154,49.89961269163394,47.23952602123845,45.69021375096869,42.516967311443466,42.01997357246666,40.35229782158362,42.64644457829802,45.34318772274076,47.47534728593364,48.02184356602156,54.12552659367162,52.19031248436668,55.92106699912075,54.11429664678101,54.051529862611694,52.62207428589515,50.91107333260009,49.85582845159216,48.64037226008161,44.93646016723064,45.36381239994089,47.020351068380094,49.545107674107584,48.79547458884206,53.41604321591345,51.04363783248579,54.20701601747129,51.515249235147046,50.4091158865029,45.86682520162327,46.856380910122965,42.63777144007683,45.460260199806996,43.42469382305932,46.011265855459186,45.863461111395736,44.75241639469139,45.00666832439245,42.48860946757773,43.039000252734915,38.588766334443434,40.567030994099426,37.838130856829075,34.31033827331445,36.37694463152294,32.12567105836462,32.30766359206595,30.728891262218696,29.174081393289008,30.67270223550924,28.505229224097455,31.6849406057132,29.63326872627429,34.67281285122678,35.591378299802344,32.52941348156064,31.023481205906247,26.53992068557193,26.035550235923534,25.972356690238115,25.24279989617332,26.341206592711334,28.181649789729974,29.886420819654003,34.27230443242917,31.029337867537407,35.39288309588673,34.97962188914761,38.06930055148072,32.68724575340508,30.078959516515425,25.54769523414161,25.211206108980704,23.71849180974201,27.63601540934881,26.852899401549276,31.47785636628214,32.93380975881502,31.565103183775836,35.14666952812925,36.16095965358216,33.231124327787136,34.655476712555085,34.845192574040496,33.96843319325566,35.9427760906731,37.20002729464382,41.363486585299995,42.57734819395835,43.69684269317282,43.0958874196672,40.402066674848186,40.062678312490924,39.948989851584905,37.94944001898578,35.37507904342522,38.15684373978725,33.606154622902906,38.11493454380248,35.81249524367063,31.072650925162115,32.931582630254496,31.946881601621303,29.13226836001352,27.04105540965242,29.124940111906184,29.617838926249824,34.76154330983555,37.611262556532054,40.253203517363275,42.70912966512283,42.58564219670696,47.41074273133872,45.090010241658234,45.553826495929805,41.55487087679736,39.45622617173261,41.275742711768615,42.17845206646136,39.53927788630802,42.958418470876424,42.82304118995369,45.32767514378056,40.72065926498016,42.30640879310529,41.011363252840034,39.588279608336286,37.378057893552096,35.45773271807638,35.872040801654855,35.33745007488997,31.37372224045064,33.43483525232302,30.961824693891135,32.5394426463418,34.3771131287983,35.39755297141215,31.70556932738471,30.063002736431763,33.798559855163155,31.818205332087647,26.05246976013608,29.844885703512762,34.3174419033555,28.928360542456176,27.8278160078027,31.490913944816516,31.31845338183963,26.893733751623763,28.423587379146703,26.36134659444481,32.19206073927976,27.785264279723886,30.209110622640566,34.11214442176747,37.189221605193694,40.94949799276642,42.10621852494487,44.391805232519125,43.3367033725333,45.801147627532245,44.05386702481208,46.60481475107217,44.169804171004216,38.906739901076634,42.06043766575027,43.38862743862788,38.6897433129789,37.28109484728765,39.600595195834586,37.40531429187285,33.58442788724014,33.60402171909829,32.61644531079895,37.202719083693886,40.188392008462664,40.53892070941636,43.941970036273624,47.16628433048488,45.4650928489584,40.883821379622134,43.140030748316256,45.046958199300406,40.560570815666814,38.51250908657157,41.68870096730179,40.69161429800423,36.74303616742969,40.29143465983845,41.79551419146644,37.99413586358481,37.38235896862233,40.74757323638175,38.56213793021799,41.24236970230084,40.38952835459458,42.58760495780189,40.48635227026312,35.37396338728275,38.015648198766684,37.947553661328506,34.696296309836555,32.9440501141123,37.273324726403025,34.69398657216189,29.818913533534534,31.686631794191236,34.96883153933937,31.745965706501714,28.027506659708624,24.18341966291237,24.896109590285462,20.701348625923856,24.297103696816365,20.49015679970259,23.455570698726724,22.390968529627994,17.998307198320358,18.830812032927515,18.97431107839974,20.797048418442383,25.061740939483844,24.29700168431191,28.084042531184213,26.25674639319768,27.645933043298083,32.91360862915515,35.09007649643032,36.523650414115515,31.28910023230224,31.585006904812744,34.79216909121851,31.46446867317533,28.523281319875696,32.41349716095919,35.59931331518943,36.035092970097985,37.4556671841637,39.67830753927268],[27.545949053372343,25.467242245084197,24.72070354457297,20.146993860661922,22.31342706341276,25.598033628138495,26.29752988280627,30.889083196515603,30.0155145823676,29.37672399685297,32.3422992577684,35.94074470534581,33.549420217537644,30.914532484640223,35.93684684547296,37.21844881626408,33.71616679077212,36.803789966719116,36.21462008329357,39.07890490798914,40.80021121984673,43.77508361535793,43.37636433717826,40.94172469458104,39.47095481683085,36.22713638928819,35.36428682619628,33.34789860538763,36.433054191794874,38.14359675026126,41.68387032014217,42.44250184387045,46.39915387255453,48.82578459625747,45.93139081812848,42.734378256187874,42.56051250988906,40.281822996019834,38.65104899980397,43.7841147581612,38.89863928907709,40.46303278712387,44.430638061340936,42.5833001442202,41.834892774670536,39.66899926097895,43.48598046486944,44.92929798333321,41.086527549560614,43.74717858574584,48.069668945384244,49.0749306103849,51.53806084767771,46.163229415061515,50.545030513074465,53.45061219802188,49.62393006238768,48.659607611730046,53.41442600161561,53.47231978717228,49.81586617524815,52.48615399797658,51.95752608379153,52.24767232151346,48.96602255109674,46.67687057737632,43.67108531337003,42.22428647879081,38.790979174708646,38.36905982129343,36.51111956975577,38.625503141098385,41.51697221561117,43.632503402449466,44.465981362183285,50.55142951910977,48.85551908980338,52.68843074921883,51.08051913682246,51.17961550917429,50.05025609743994,48.54588605050485,47.79353710399882,46.816677869159754,42.97963192430754,43.12141705462422,44.38507509322173,47.01293400280505,45.82656012868125,50.43613335758722,47.82360209241136,50.785097918550974,48.163287584264964,47.2575974198065,42.79219834700085,43.69509600184173,39.54889756375897,42.74431917858306,40.99296923375483,43.997579593954924,43.69522545256868,43.164531515017444,43.176435488921236,41.2046335574607,42.01104078869416,37.765539223895566,40.21628440601212,37.78300379065692,34.37899324205364,36.03469957519215,31.658363249738322,31.204902350039394,29.229369256960105,27.34342922077745,28.174070214192028,25.79673044633008,28.647342736382306,26.393308592224457,31.069053397066728,32.16485885161849,28.992777288181276,27.74239350803344,23.317277287650935,23.28804889613804,23.762534317277826,23.559487112746112,25.588140446589023,27.330613697216222,29.51950406936583,33.76462394016451,31.110352745162473,35.63245384587916,34.88152406509618,37.63358898424837,32.114178265926384,29.106182246741085,25.15256790611512,23.898016159140465,21.75499033316486,25.450846398689755,24.125300289404205,28.73234111045321,29.97108443299619,28.858016399519457,32.58286151134067,33.57562761949933,30.760522967338048,32.39871841195976,33.02155879369057,32.164160485438906,34.649422985230075,35.68846074158096,40.13846518180334,41.30124059028429,41.99643151958997,41.403364253636134,38.491764086787214,38.52095633200737,37.96298319699507,36.50101625681718,33.77047552173117,36.021869286097406,31.51405828280107,36.06689408287445,34.14586596857432,29.429172141445587,31.88722747650476,31.093250819795184,28.688632409309566,26.08896633435813,28.285013809411712,28.22620791931922,33.35527905540993,36.125873521264865,38.55990899385882,41.13562799059537,40.60041155095479,45.65898044172855,43.30230819725857,44.10202979961239,40.14982244359051,38.38496664845327,40.47926465758271,41.45532778608508,38.546978744087355,41.497298156082486,40.90512682618796,43.6041427536282,38.90607491664557,40.933376679320794,39.997361484495144,38.56991694246452,36.866831889025825,35.20673369507831,35.97888103008421,35.93845467857195,31.961564466701407,34.34525433004864,32.188712486938186,33.328562753464126,35.73752744322919,36.36415431843308,32.453216113218595,31.52248070235937,35.33746023470565,32.925237109022056,27.514062242363757,31.724034309297508,35.849790266280564,30.23505418398931,29.645965937259888,33.398754952494755,32.66369950093701,28.392600396990538,30.589750130116855,28.74120078756946,34.68689109819678,30.858056605809743,32.861280080552646,36.79081453938235,40.083228532254225,43.89328749782191,45.04123067744616,46.97814254115414,45.72008196467945,47.96593519327024,45.83839881184471,48.57526591841315,46.51367395230572,40.950990455241005,43.85172707563902,45.57630458059429,40.98737851030503,39.18112536337668,41.36396214125629,39.711580018433864,35.89399158102243,35.144672582301325,34.30674477229211,38.27829247326707,41.49292994617199,41.95533565596209,45.03341031897789,48.35316170193157,46.20838657502527,41.81626155617037,44.3742959760739,45.888339307725715,41.18757380631999,39.602171205690865,42.722814969903595,41.483941780072826,37.78295166888145,41.72445170566658,43.03811948236917,39.0627926046045,38.992906176345734,42.556587240013684,40.53976343941317,43.17079502368801,42.08006570597712,44.59327257226911,42.78329189930111,37.42742057717683,40.076365943707486,40.461105579172816,37.245558295780896,35.20855427883804,39.87805434180073,37.720702180604896,32.60319325907874,34.241053070405435,37.971240307900636,35.061583985538064,31.200487188008932,27.18781176096259,28.491814177661453,24.293528224896118,27.75452550790518,23.463311434633848,25.858100185698834,24.111575847106025,20.22898479252466,21.06537513665038,21.721028791810888,23.01521396604252,27.0436969420871,25.328339485208616,28.859203518801824,26.31116142449283,28.03468902119321,33.100148847275975,35.536912839873594,36.381694098080025,31.114091210449427,31.977208055096042,34.84086477661971,30.89844103747493,28.544946497028818,32.77343106963533,35.577671940745745,35.760904114406955,36.96263674964188,39.268330589162936],[24.23181984790116,21.94192468688591,20.86746595928964,16.193745426083574,18.15059385837144,21.53580485965163,22.2323631542312,26.84384076464331,26.207650322792553,25.7394902694982,28.86729533378341,32.296092153943825,29.9479121860146,27.614492082630612,32.70731170937833,33.84536118863802,30.47610070866642,33.84191296070795,33.68930882603184,36.342830262055,38.399641978576156,41.369898604088995,41.282831099453645,39.065129559229355,37.24832795380492,33.89333473418453,32.651146385478725,30.390885833356705,33.271190698384956,34.70352663119415,38.523309981388046,38.917539771102376,42.93727473632769,45.531141737608415,42.570547465711925,39.53270698115847,39.0783426357834,37.114261303003374,35.53969984107516,40.72395047819625,36.09735581521152,37.786768227651095,41.81355704259929,40.129055139215964,39.73649106438655,37.65143819788847,41.625773191030824,42.71387011852814,38.6565570223123,41.5745493470105,45.74225052184201,46.60393271454531,48.988172695509384,43.40100912056889,47.61621193786355,50.746761090992024,47.07996528181231,45.83100706089619,50.58478629404133,50.978670856830824,47.30206393577965,49.887306501750835,49.232354785781496,49.867362409275586,46.58941451985011,44.0325440213896,41.267511472967435,39.55115668224633,36.393591202037754,35.76348367126241,34.170320292423455,36.55603995643541,39.135086891943374,41.35950988947196,41.78820821225386,47.92899074250892,46.07983863566341,49.75494330734709,48.05782072922915,48.1776415880451,46.78757783573096,45.323759865931386,44.272128396509395,43.358473277280794,39.65063556066389,39.72210897374093,41.228729619333365,43.627319712000556,42.75100484972752,47.25017757971329,44.80593301336328,47.92896338934456,45.20436741802503,44.101674762919465,39.56776489884268,40.57178186933525,36.37361816324338,39.258992071983876,37.34033138721104,40.1695726511359,39.897192996597994,39.15016180238994,39.28845959736228,37.16035323516114,38.05866714557003,33.732294095759386,36.177063428544145,33.836674452238974,30.352127306422798,31.918183429798624,27.49919179411378,27.140825692070983,25.176196458839367,23.4614480839344,24.561916990262734,22.40945829827748,25.565589432360667,23.712591090625676,28.73063959717937,29.400101342044174,26.300800845525508,24.71784705180067,20.28328995136699,19.813877788298246,19.94306671282279,19.627469781925985,21.418261689713415,23.282926213546688,25.50557359035237,29.853003990103744,27.363284399897164,31.94519363389146,31.38576917299755,33.9289208217588,28.545248842823483,25.394750107799,21.504604092285202,20.35312933351178,18.420373204839454,22.235102790784104,21.63946339227973,26.441344258225534,27.403413263132446,25.9068479936286,29.584930521039432,30.29944712789993,27.358123056356074,28.731310223528304,29.139895855943,28.202909766412755,30.549581772676184,31.67742527113578,36.06997406303099,37.37490876343292,38.11450787375647,37.4399439927891,34.5806679733673,34.487821744567945,34.09940527965378,32.515890162819126,29.99189356352383,32.48220753879201,28.182301482866045,32.80745616790533,31.07687489625903,26.64596168028933,28.964980485618362,28.59988258772375,25.962810040209632,23.19710553019343,25.094876251868403,24.909360593166912,29.95696278786517,32.57508927114134,34.94087419954935,37.352967167884216,36.8705092808097,41.89152626955622,39.70915653194761,40.417425441487694,36.662750399870475,34.59972930705087,36.923292958342884,38.10401823859761,35.25075920393919,38.404666902175784,37.88813779352601,40.85412372308725,36.43427539600268,38.3417877504392,37.47206930494358,35.72099469426531,33.99300975346582,32.1436129296969,32.80886308722555,32.77606484644452,28.596114758824104,30.868949106609662,28.64886463695508,29.49836661033151,32.029952403622545,32.440732427320064,28.479162294384942,27.806305982331523,31.60446430954109,29.02806316151051,23.79476755625062,28.182681682169864,32.146664434348025,26.5318294255191,26.208197915727528,30.03061817826344,29.128288063931432,25.043516944473048,27.59016328628979,25.73772285280013,31.7282297591357,28.23007964610525,29.828692062949468,33.77012136635813,37.16919527949432,41.037253200422164,42.13709801997833,43.79083751155595,42.42074488949587,44.550873163564205,42.243198468249126,45.147136823677904,43.28770306684224,37.57516676104776,40.40806299795267,42.440966927840826,37.92822834890919,35.93005052618473,38.21665012725585,36.92677960693607,32.99802685560557,32.00813635902274,30.92873236796184,34.63048759035577,37.875049299263345,38.23680560878986,41.17588608037745,44.46715717054264,42.20063571404568,37.87694637655237,40.48551199078268,41.87220960887889,37.12583022918316,35.67465629439926,38.79979470315388,37.526949624214055,33.90971755361081,37.983610515178086,39.29423366121962,35.35048556459294,35.4433881895054,39.06246328853978,37.07359610555077,39.61278707034694,38.38402814125381,41.04889013007181,39.4222149661613,33.94327490620173,36.5976479548697,37.26086732802918,34.0806950219937,31.909010993388748,36.831536021997074,34.98103083850416,29.704782932502376,31.29275268781942,35.36284943243135,32.70984573744886,28.747615417862264,24.554201196678502,26.52705571719749,22.329065036535766,25.54842047786063,20.866562662080906,22.726699398334404,20.658780250338815,17.161589640127993,17.89460750261763,18.98099907762704,19.942669766803323,23.687204063600394,21.51766645256652,25.01579288745194,22.24882129180531,23.95216365642108,28.96911029322351,31.45012999752299,32.22026183603293,26.961477334136116,27.95607557916775,30.816191216780453,26.81737059751548,24.615385144319998,28.95919624809603,31.750760152860998,31.92924784467582,33.14489741037352,35.490333105700145],[26.16939648933775,23.479797426728865,21.711183218613506,17.937698973810583,18.965188640281735,23.641290191586155,24.48210910846552,29.08922651665862,29.211955301082,28.842384807282823,32.235927910354384,35.40505395275139,32.71588753166993,30.94491201486001,35.961527494010326,36.6995696499423,33.14146060538442,36.488805888745055,36.181880694724484,38.37749042437977,40.38714552469796,42.89339854177209,42.92051563826339,40.48908005197896,38.559382468444724,35.635468749088965,34.207569705646705,32.33976860941737,35.44232359894011,36.91681875071052,41.36084808890917,41.36270940425713,45.59919313549615,48.09734218736172,44.81432466616483,41.71228300057359,40.908904812982954,38.64229264382673,36.672294849647166,41.293547257042526,36.718436501027156,39.01944226903627,42.79633793491553,40.706648898798605,40.18590456369735,37.661474733593515,41.48227596790366,42.8549181259975,38.54042111337288,40.91244131576136,45.34531803265704,46.13438617086538,48.81730117322821,43.50224577211429,47.73483040851095,51.01332170808384,47.534005015801156,46.56089095802676,51.37985212910713,51.663873691392126,48.46254710852912,51.45205505778501,51.12021564511475,51.77624541664418,48.267702430414516,45.83442640391777,43.60564128913771,42.10181402703816,39.29250779808273,38.99454920561437,37.5454814886807,40.186308375885005,42.54187992699209,44.41430530313752,44.69892137428978,50.71285784954896,48.399130435018996,52.112364127475956,50.04692832551376,49.736504994975164,48.18190174532375,46.25021819228575,45.19515897521578,43.76796158243502,40.06933676554643,40.74571908084047,42.57684365026008,45.207474165865676,44.703780496824,49.50748639673334,47.397589482926435,50.82392148165931,48.26181313918931,47.16894183771265,42.68763316292715,44.02772712852463,39.87567445776524,42.252319407202414,40.19985796964235,42.82164683264329,42.170023979069136,40.915487382651094,40.83202423021092,38.22834413046442,38.372267084423804,34.041601000121354,36.00462700813377,33.15534184646932,29.860829283750903,32.06293441165658,28.03246649840514,27.97940447034161,26.84434535247099,24.987937638519487,26.894059307855397,24.58852813807575,27.853327107704118,25.794544348094643,31.183702947854417,32.13227284077888,29.33304818951693,27.830973567892283,23.189095273860076,22.530237189548572,22.52280764844887,21.044988657192004,22.434909725579946,23.71479146058209,25.303170342766617,29.476582718107615,26.14319966689938,30.489949912122764,29.86320723605874,33.04396269060646,27.57699889508834,25.1230654786782,20.516324997697563,20.259065655367337,19.00186620079764,22.96263652735409,22.451086584474652,27.046572644838825,28.670445335223448,27.178200435224525,30.612411093718336,31.82453756225331,28.91826518603576,30.499243340853177,30.63585416499675,30.200567242230626,32.182329595616345,33.96254056667312,38.085756644056566,39.90487477572468,40.79139750454072,39.75163503254079,36.88912784428389,36.232179505489576,35.988619589785756,33.6264361505522,30.73226847881645,33.61521107888704,28.877165109280963,33.293068830049734,30.75810806335339,26.015137732683925,27.712813593579686,26.76290848608036,23.8867541405074,21.820262407693832,23.906278095978852,24.552661717657365,29.71097748958527,32.666475471403764,35.4579444340279,38.02946828379315,38.16914390432667,42.82990487402576,40.3125143857,40.68572962053072,36.52997526877737,34.568351270395034,36.15798081215844,36.9717736847201,34.34593087460934,37.8236375564752,37.84307516777823,40.26331492158022,35.73129350503299,37.17307673321113,35.83862846707174,34.36361501577922,32.12382461410337,30.213863666429802,30.692195448563524,30.298863909979282,26.398084659711568,28.690731304331212,26.537933351903234,28.164003514784437,30.39394630492131,31.524636901100862,27.761684714025783,26.42996295280288,30.456540939356284,28.61391683834097,22.980590178615753,27.085297573010966,31.692980704291212,26.595714788187752,25.84563680404681,29.73093523859331,29.6018849957404,25.550441006527134,27.450701175110797,25.05272065706302,30.980359995845788,26.33208859425416,28.17324251779142,32.26014578899271,35.07514618025212,39.1893961650242,39.84012638257496,41.768686919295185,40.31348641429735,42.47044624050105,40.4108005654396,42.85744311679687,40.74766646088927,35.2579440191328,38.08686674774277,39.55747502982617,34.96548451248525,33.224287273005636,35.29974954713185,33.487525668708415,29.753019703463828,29.104811601300547,28.481308232337955,32.744367216387694,35.89417909969533,36.60683501857619,39.899320318585666,43.40401733257911,41.5063114693605,36.94597102127225,39.68129434136603,41.55925377362944,36.968533510063004,35.24720246875008,38.75116904745857,37.887725904918476,34.05597411734968,37.75908823611537,39.51804261063128,35.96105044732026,35.41628120062141,38.772114281194895,36.38668506704858,38.67954557983064,37.36746093083967,39.55473343421179,37.970502798211065,32.64414934767114,34.83316048557589,35.165022391524374,32.118627948472295,29.753302344247405,34.171124916641496,32.19235376581473,27.0759919752537,28.34278240165172,32.054507533806316,29.35624794458054,25.47915843160458,21.71563738412892,23.026375981104458,19.19336056587001,23.103481196087408,19.02920646071729,21.282151126511508,20.29874122574044,16.236816608793198,16.22518508846509,16.284137022056065,17.30034574304484,21.551866084364143,20.341015420905283,23.779247351526397,21.99750290873819,24.102018047625375,29.199914619002506,31.692301569719994,33.06890671203306,27.949626224917257,28.75052665589577,32.12237738898235,28.61170818812172,26.230632579646553,30.381814322453184,33.592319305646605,33.973827702397415,35.32755781845226,37.60256405137028],[30.223872496652646,27.668143554844377,26.013386607822977,21.931785009303585,22.83144802294268,27.296212686826088,27.730270497406732,32.325138391613315,32.06673349308376,31.169609322974285,34.39327305437918,37.85631383434615,34.83351053189851,32.68688986908427,37.57435913321334,38.41814893281393,34.56113289731525,37.47696300204203,36.53055073479909,38.94715604431359,40.50205069611215,42.977485226113046,42.61797016340742,39.917088419135546,38.407407025501485,35.64901965947904,34.7168333434286,33.218056919719196,36.6538617147986,38.60045099827476,42.72006878812616,43.26367427954141,47.4555906209533,49.6224673330776,46.376883724174235,42.99436298473679,42.624285655936546,39.81471136546954,37.76106532749907,42.33144441151804,37.37348879962419,39.46603264139867,43.15836792562888,40.87073233788863,39.89553299911663,37.31698061491695,40.95059170459395,42.73778356974888,38.75502784438791,40.86924761504689,45.45011963722491,46.45155756563304,49.18528501627101,44.14350682572936,48.613252533250105,51.534607412082444,47.81725063718093,47.22842154981886,52.038501323522404,51.85662069743901,48.67540882746354,51.78971803977527,51.65668123091371,51.85211771821921,48.31949387561599,46.25318116493567,43.76973844282724,42.662924648409046,39.56257533477072,39.638159902293395,37.88476067719052,40.29363411418015,42.95457183091172,44.57068300668071,45.35350187353982,51.26372722525517,49.064444172054465,53.01627678911924,51.028326773783334,50.6505153263524,49.49897579147588,47.51022881132683,46.96798031722239,45.48170386876745,41.56456342026071,42.30180296045361,43.725608274105845,46.73684694756744,45.760403589453944,50.78454597098487,48.474487275055836,51.740273351705895,49.38495350044764,48.618549230562806,44.26460937068383,45.59847783562333,41.549675103764585,44.281745150142335,42.53797338747759,45.57451477920358,44.6223150722909,43.833647857387625,43.3580218131686,41.1666425925811,41.17044552817749,37.09380399348931,39.285261772822786,36.442643004499516,33.4137157953534,35.544974659855214,31.587811414880136,31.016273704392514,29.80639044398326,27.47751130521865,28.882307016695254,26.14932434684033,28.94699611112125,26.30148348562565,31.287388842909714,32.84721069554521,30.01239037015054,29.003368361189747,24.29953711210871,24.30167058227472,24.96830463467337,23.658105026368094,25.91805266517804,26.83769591101832,28.605311053455363,32.4774494506769,29.25669670159246,33.5512793592489,32.436000793698845,35.71532820032666,30.021891887649737,27.608472977343055,23.281824615945784,22.395044520211957,20.598758058105123,24.300508151085122,22.7113681527019,27.036153228263416,28.98981880730472,28.04202181953459,31.5464122017745,33.175613787038884,30.480887885281454,32.54671125135345,33.13138016365987,32.952991884718834,35.35508968661945,37.111692951730916,41.43420922529388,43.28306829759363,43.84660000285455,42.741648733439554,39.64676564017815,39.18948778942132,38.48630943490128,36.392240285394244,33.05706722587524,35.42463399231332,30.378557377364803,34.68329733206032,32.00096577731796,26.919635957721802,29.028897660367782,27.61952699082908,25.28831368932646,23.211340089913218,25.72360011939824,26.28513551418587,31.51402126953875,34.65123030825197,37.47822224004512,40.352037287995884,40.33443177955277,45.08601330730952,42.25683211185027,42.86561776396698,38.429359769184565,37.06648454194305,38.40624150152404,38.9510317268351,36.14262946870419,39.13810109264582,38.91069803358853,41.028663411320395,36.12652618515235,37.867962404379824,36.60038575235009,35.54535306416617,33.59015080451887,32.08770734867844,32.90951459259713,32.81583471967854,29.2620618564791,31.908371989886447,30.144200421229854,31.892909721047637,34.359017260173964,35.579198906747514,31.78036185599204,30.615883195044717,34.7396611694308,32.934643101582935,27.372352867263693,31.513031706200337,36.142805116811644,31.048231187448938,30.344177986225915,34.228266127805085,34.04090567948112,29.962806581531368,31.87116974182124,29.501692531180034,35.41578266050396,30.60463912789423,32.55539819619266,36.65331801163239,39.3252435135887,43.471585306263485,44.00467768407884,46.00218642307024,44.47121021086144,46.55127402916231,44.45245864549102,46.715099284220706,44.64903651609682,39.19059149254851,41.843741884747814,43.13445708511632,38.58712157285725,36.814216648972476,38.573295005198744,36.70256927001882,33.20904112050907,32.27917848111065,32.17852844968081,36.30608852880509,39.55165489763991,40.5627447084181,43.80996210121511,47.47141519777477,45.45931604521089,40.93942367248588,43.90029313377405,45.7321137929526,41.079703329368805,39.53342632712213,43.09646005104245,42.207087798131816,38.44096614803093,42.20660633814701,43.95961225917835,40.370842502450174,39.90497003207068,43.27049855213067,40.873576574109386,43.11831633911784,41.72290153045418,43.85052934778781,42.35449101888391,37.04034601843875,39.0621018473553,39.38407433053815,36.40736020991149,33.914251145700455,38.143264098285606,36.18865029033189,31.163083019004688,32.173746816569704,35.732018601846505,33.05843621908883,29.270956687105894,25.768347666968765,26.63598128529085,22.999808865031795,27.149197568589628,23.33524099300801,25.723913958396352,24.789140481556377,20.70028128881315,20.65205000979456,20.45949468267873,21.371595463704487,25.70439863992095,24.428280708733297,27.60411864398894,25.718604838508274,28.20201132381546,33.171674196147244,35.82851131351917,36.980474489151064,31.87779084685366,32.96084060115996,36.21687342888945,32.40727936793117,30.305923203401168,34.57839794577487,37.63878429513407,37.89059921578676,39.109754778068044,41.40130608468041],[28.769448393001895,26.151132351420184,24.207025341354566,19.668623277571687,20.024563457483634,24.197669607470143,24.06848166472797,28.582337539855153,28.136512273755017,26.845535766718804,30.023677622642627,33.56934470468062,30.302955763811497,28.112391360211497,32.9156019694426,33.72881546095621,29.795009119188816,32.64930514673525,31.722947337560164,34.173037394746586,35.793124254630456,38.382585011783334,38.08317234436862,35.51536804268065,33.91113332325401,30.996014789130413,30.036944091852064,28.444985787523873,31.87524987139423,33.901434608803214,37.935373911676244,38.60645792309936,42.77843281980878,44.85726180395269,41.63966715107932,38.221374028098545,37.97768881394788,35.15009546192143,33.20205943886254,37.987789940034666,33.00540851757025,34.89554348164883,38.69062113828585,36.589580488455965,35.7713546896014,33.42025309124936,37.20879093706217,38.72797179149154,34.80160245952543,37.30201714398559,41.696797554562565,42.710971649340024,45.2643316507796,40.035929734373774,44.49092571945074,47.36856777490555,43.58848765475759,42.83769006551647,47.628439251979636,47.54885072453626,44.1795512298621,47.158827673334,46.92748435098514,47.185176072100354,43.701684526996125,41.546693780015445,39.009531519884206,37.83912107284031,34.76516666969393,34.841134922907415,33.1353368834109,35.64361485978911,38.20036905816294,39.801928240970234,40.524040054618034,46.44029605985613,44.25689959679592,48.20150808661645,46.26373158207801,45.97833150945605,44.88846661911252,43.04433361848907,42.572517800485315,41.275881855655406,37.317817506360086,37.830310207481325,39.11095166823111,42.10393621763094,41.002150707556375,46.001664784253116,43.650712880303736,46.9089946077328,44.57860928530148,43.86394765527267,39.553361586894724,40.955801718012815,36.965005144213684,39.706687457061236,38.09971640679751,41.36383075506596,40.19677326537697,39.72040782588126,39.04774748618543,37.1971958362081,37.37451978599401,33.457496354360046,36.017631659201676,33.459282569397885,30.54883269024019,32.31036562018852,28.311955565757668,27.218070500228258,25.816899597450274,23.21792095411992,24.307193050841125,21.451898553196408,24.146982540239733,21.50070763365412,26.50889866816567,28.01208614949371,25.19822389221439,24.244415972433835,19.52523684891711,19.69138379648515,20.687496548243477,19.525909829198127,22.527889464883874,23.256071213982086,25.402638205580853,29.137433731777513,26.50644641562225,30.939374297619626,29.620763834461357,32.49621704228273,26.76041342618126,23.958576014035888,20.184663644234405,18.528988351530217,16.28328269187039,19.88171231564606,18.230943867386387,22.716257176304627,24.387190089748987,23.41182226922282,27.0037912467793,28.527404315670868,25.862632657711128,28.024926218047064,28.84718331155685,28.767096184491802,31.494538154259825,33.23728627580216,37.70880566981518,39.70824722644279,39.920483173072746,38.68772430483071,35.42736886834786,35.125090845524284,34.12606750483874,32.32374539556949,28.89634171085031,30.969145700166255,26.00746702476269,30.386701523924213,28.08323927531793,23.160216575956838,25.711585921853086,24.756509624436454,22.636535290182326,19.97546544949757,22.42241180798641,22.442944578508186,27.633239730943952,30.645204267276924,33.29381003691951,36.2019653500815,35.93343043818979,40.81820533162624,38.01712689036054,38.833474882403664,34.51681197278363,33.291357987610574,34.95052221201809,35.6672039261903,32.66188890800655,35.39732924578396,34.85313222179781,37.29910711338565,32.48817462895343,34.52144852532969,33.60312703470473,32.31700985866891,30.783240067434154,29.388392383056054,30.461606292650085,30.817064013284153,27.15317127398561,30.01676705710346,28.532571658129058,29.747337742666772,32.77137532177002,33.56378171873187,29.593421719111078,29.18626419152984,33.35341979685944,31.169908189829037,26.068743714621952,30.595869709207392,34.84607763246904,29.688807926153977,29.54655356661554,33.51181167294061,32.8441157072456,29.075239605970804,31.645017830951314,29.414966296251997,35.38772287960039,31.201400561395168,32.55415659349215,36.66040303491332,39.5206823456026,43.74319372159467,44.20455594696847,45.728454034104246,43.94960531122018,45.75431770394101,43.2319529817446,45.72270697348527,44.111723161580905,38.337624672911055,40.7045666147764,42.51102958481697,38.13281285237884,35.90655199083352,37.592110375279006,36.43794839987316,32.90299459984612,31.148248828001325,31.05283864560587,34.45115967461909,37.897893111243896,38.97223765182835,41.84969149660154,45.584322900378226,43.14137838650776,38.83759745387415,42.105394125590884,43.548805556918154,38.72225777948303,37.663737179299275,41.20606237680342,40.14389802583861,36.6571754330272,40.775352912855745,42.40701485153843,38.77172261672115,38.79881033286892,42.313184952611685,40.04966083039506,42.148600157248666,40.453432318835915,42.8942982866873,41.7848625778844,36.23317606690127,38.20288240040627,39.07040285044974,36.178409292474015,33.35870483971456,37.98065910675089,36.59098933125602,31.307018884586345,32.06514749456389,36.18788199319245,33.96076159450519,30.021716894310956,26.313377563755665,28.063509158243583,24.451077149276635,28.315273045707567,23.953962958005803,25.555642713374663,23.995341664735346,20.58450994926141,20.403898700157026,20.823916596660865,21.066746046552804,24.9676812781457,22.662786372409574,25.501101597359384,22.953107351544094,25.803797318685113,30.489081216733798,33.39850045872455,34.03941473833542,28.998740162751016,30.66019115256435,33.64869608452886,29.36659067780267,27.92748945850333,32.48164754164509,35.22524678968887,35.275130077384645,36.30908465850869,38.66831915721384],[26.42664679764315,23.34853792325178,20.527975040016344,16.885626802614542,16.109781627322867,21.486509084945478,21.603105479943643,26.047012314504194,26.613689574549657,25.8212062714877,29.37313165637606,32.371090761077,29.074807555995108,27.82773858355282,32.61230204011144,32.920499446877166,29.159570038702878,32.419392613632,32.094389077217485,33.83725986893691,35.92468822472256,38.11835276914453,38.382067013593954,35.99951553422561,33.80810721403523,31.111106670546878,29.413175857464257,27.767030270821337,30.975695374567138,32.525961433137184,37.42854018245787,37.1937601822419,41.58200937755831,43.87778697486156,40.350673280380896,37.187510541567434,36.195490177566874,33.69011145422421,31.516198583953493,35.86343487035735,31.388723402180986,34.002071967992286,37.64975872233393,35.47295991228869,35.1070652387653,32.50719184020659,36.36858041112818,37.58609069582131,33.10396305628802,35.490460218871085,39.873162237339685,40.58148474327416,43.281069051167634,37.97285563085506,42.159484288947645,45.528090918732126,42.17774094923702,41.213755044478745,46.041981922508576,46.39996617724068,43.410101157492235,46.559299207680205,46.37871374921635,47.174800433608695,43.55305619592708,41.09926939639425,39.35181305287128,37.93052857990705,35.55438283323619,35.51585162911228,34.324384848555994,37.31525606004146,39.26143617855812,40.80020956789028,40.8133246675315,46.674901904202194,43.96132099096003,47.65295338490416,45.32171709272676,44.744039569906434,43.09724467142156,40.93978882834515,39.947938396612564,38.310247586876756,34.59377855568442,35.52499801395195,37.49234870899026,40.26607642833902,39.984330627528514,44.98662390026567,43.16098916720223,46.845610241109895,44.468169864860904,43.43716433611995,39.08526371467918,40.81728296444329,36.81011303763687,38.69129020707546,36.70009984453286,39.42456186531827,38.12773513187463,36.8346837282062,36.27009759427706,33.70295279442225,33.38244093804935,29.285318121865895,31.339484791237137,28.431857907854383,25.520431311591437,27.763548205278372,24.059709079829926,23.511772897894524,22.914458473229004,20.583993852527836,22.870655381207385,20.374592014354693,23.621545750094732,21.55774471035602,27.25202775769777,28.250250667849286,25.828172285122605,24.415705329855935,19.714868141789708,18.96190238900708,19.157571797380598,16.75692913626095,18.791261030769864,19.184244181895934,20.71464395368954,24.498307209357936,21.238740010392263,25.5753897651678,24.55523429957705,27.752201359026994,22.138767705399797,19.802199807222433,15.28394033825537,14.863787312328698,13.830480928408496,17.76323346341167,17.570097489354417,22.070810464229837,23.853736491726195,22.247926521119858,25.478230574275813,26.94503228507573,24.122213112555265,25.95120024797673,26.11597097267634,26.289489803440933,28.370282460680354,30.738858830146114,34.81300646075998,37.32362853318145,37.82930440613622,36.270884168831365,33.18451592402572,32.21635138766523,31.704846702234804,29.01476982287029,25.666325950752142,28.544678147422637,23.580761311194937,27.86652216760201,25.10839581969801,20.37504079816933,21.997966205334702,21.179799677651474,18.31856218039631,16.111416853704018,18.230566788994157,18.94887286838283,24.12593508968499,27.206026770622596,30.143428663659538,32.88937028579794,33.27567192307689,37.761029458268766,34.98894581427852,35.32427113237555,30.979595204971375,29.287097769579194,30.640967233656475,31.36178327104666,28.67959428437671,32.12558289134593,32.2397286656905,34.60961446219068,30.16440746208516,31.524009238849025,30.23540809074253,28.66583796237491,26.52415829395453,24.69407705684911,25.36521678479205,25.320236405927677,21.5286259998393,24.22045913675324,22.641435076113343,24.163325782645224,27.033107171953432,28.168238271981664,24.333489962774028,23.650023693085405,27.946321175752555,26.205732642544795,21.052885870266554,25.477040941153174,30.004604013891274,25.35782840993451,25.170345140681228,29.176780807057877,28.963588255234807,25.51560854798918,27.886268776681536,25.291906832106033,31.121639335829332,26.5388226255475,27.561957333329257,31.723628644531978,34.23465060270213,38.66526299176353,38.74436464464234,40.150434423768274,38.21325411303221,39.92521501696323,37.42228118551016,39.76842273519089,38.17171907162074,32.416392820202674,34.73707810069045,36.478485843447444,32.11805670962658,29.88178953348863,31.583741180728886,30.443881129556022,26.89587325866827,25.163343235459607,25.070178026355535,28.64931042879969,32.0362719881642,33.21951993256462,36.245571130266256,40.07801342959706,37.84501734095567,33.41291396934212,36.77234061517756,38.488911454007024,33.77906356968356,32.603527255596624,36.41998390724168,35.667380452730654,32.11037783973704,36.014280796547865,37.983582814055495,34.73006378659624,34.40287572404661,37.72662154801787,35.20978074052503,37.0087207456302,35.1305491673118,37.35209951993885,36.46229218068899,30.945641492411482,32.55796988070811,33.47198477458303,30.744203236512558,27.65196070757087,32.160446400488645,31.038499790135873,25.746074490305432,26.191929761939438,30.433768788370926,28.50401204406384,24.560029751080837,21.034541071516106,23.10834474896908,19.909392149091666,23.841833158459877,19.63259657183878,20.78829248606957,19.781090291617115,16.580624565201678,15.600496929737655,15.713304562363678,15.435545231438766,19.296437195631945,17.242711109870342,19.972805943022045,18.08856509274463,21.213791297071857,25.884356362778643,28.78965357334694,29.917393806479208,25.05587557230173,26.60501479277491,29.998022516422253,26.215338897429582,24.740244962632573,29.127134525541205,32.18712825596512,32.4373331377205,33.62958959374899,35.93843653235594],[30.714568460919118,27.726021770864477,25.114445579699396,21.534020461496453,20.979015674717076,26.346585543057667,26.418534409412608,30.86148204824466,31.25365594460119,30.185496186780675,33.6296705888424,36.81597110330503,33.288638769570206,31.793562538853777,36.48218250583759,36.83536767630938,32.80948946501901,35.678385918368214,34.71577398743476,36.55460911221143,38.17484570723583,40.18291550334859,40.09051408492625,37.35148375639948,35.56312203560005,33.19043096380506,31.94222059691431,30.779558594685952,34.34019633377989,36.30382749975471,41.03937928228704,41.17757551134591,45.55973727472934,47.56524829943433,44.005763600581304,40.59464669593482,39.88957011851071,36.82814816752668,34.45589062742542,38.51083944895755,33.70809139194012,36.33890614569866,39.794793570921726,37.25796889811458,36.36244308626482,33.503782355568234,37.08270257295748,38.87668909473688,34.63001488693831,36.45821044497852,41.12561314241502,42.01549178769392,44.90805260545285,40.018754621073114,44.42813121396144,47.505706486088336,44.01259854837421,43.54785567595546,48.37842817350623,48.23350947861191,45.460356735305865,48.87303268612905,48.99193526131301,49.34609345129875,45.62935416607863,43.58261771014595,41.746435588830344,40.763916467550814,38.183092102282814,38.55274552762455,37.09161781330905,39.89139223798448,42.10988206047209,43.35044922776836,43.80828523726488,49.54245825800976,46.82629060374237,50.74198641859194,48.38314280941445,47.608846781591986,46.28015532180656,43.91088573712389,43.37891996170176,41.498210662627805,37.6154600576842,38.830103315684646,40.530283039249476,43.709056496483484,43.11860127742575,48.387190042037545,46.469620288542444,50.070699651545944,47.90635887098451,47.15230968957454,42.91350660902335,44.67051920517503,40.7411990396648,42.84995731862458,41.061304458873465,44.01680803985928,42.482637685773646,41.39532953472855,40.52089785994014,38.117394633117364,37.44481718181973,33.562301449149736,35.53939019149974,32.440290053095715,29.804269039070313,32.2426742176042,28.74383416478954,28.02713009995563,27.569570745159673,24.940281300437785,26.961406013045906,24.10413477051333,26.932044319249616,24.25973763829799,29.621032984383035,31.275681597334334,28.86171840061976,27.903334024669377,23.120876131222484,22.922248759890792,23.593942214923285,21.229776269560972,23.61930979514606,23.705625376327838,25.080882266735163,28.53012488015536,24.9863657448707,29.063390055275896,27.6576641852177,31.24175017364309,25.501673239831042,23.595315478939064,19.092588300218935,18.580387341340487,17.31792844277284,20.952845883719643,19.649301133518403,23.736939061342582,26.118955353167156,25.085171783435975,28.275485019730137,30.289636610746953,27.69283837720471,29.968240922456825,30.409573083708402,30.84760221647525,33.091687246400554,35.51524232952473,39.63717114701659,42.17132340338774,42.57232091391961,40.962917002094656,37.75718041633445,36.8196414651861,36.045384223023504,33.36872763140941,29.61718315574228,32.164293846888185,26.82568429764098,30.875575961464445,27.644410297854463,22.46236925286689,24.14127252144056,22.468919951240633,20.06513349140507,18.36746800850635,20.988420837622936,22.051303843789302,27.249414627241322,30.60033720426416,33.7083504606264,36.736300278628306,37.20355563281923,41.609621390540894,38.47904884268039,38.87379819888978,34.154564049383104,33.02896395242274,33.812330453741886,34.092965154764805,31.400718178577414,34.52888530456475,34.667338275959395,36.450325954344805,31.588830347863368,32.991090769699866,31.496425375072864,30.53675295745079,28.376124660064434,26.92064284144673,27.76914582671855,27.721805087159854,24.46896457761626,27.36022022749283,26.056256754435655,28.107705494512103,30.805986439764155,32.36623487818575,28.674819327079437,27.631502295506895,31.98402638872174,30.612797458147252,25.256681434044623,29.417658300501806,34.24285605489909,29.72479304945365,29.21048860458003,33.178501823119944,33.27648092403317,29.637774777661942,31.587002658446398,28.855434344146705,34.648331629317916,29.4033957737836,30.873600527348454,35.06265345911145,37.239880074139,41.703712806122724,41.61865182691652,43.3605332833536,41.45719839050925,43.22535664455957,40.952693887288866,42.90839053219907,41.09325311626496,35.597672102703626,37.87485038413437,39.06458820013309,34.67254342069823,32.70035817225684,34.0735326581265,32.41683320741607,29.18636844939649,27.690630058990926,28.20761823500858,32.106210537903905,35.42648922516842,36.92183611725998,40.13281579756485,44.08986387947036,42.04741155718151,37.53909932426013,40.95219234304665,42.89710985882617,38.27858352868555,36.978912052432534,40.90004896832192,40.28291419644014,36.62683306742614,40.33054287922607,42.42431179520317,39.237607252083556,38.63227663207051,41.84001813695792,39.183204500769804,40.95987904602525,39.1465823425573,41.05799280097854,40.07416512075014,34.73675518633929,36.12769992593842,36.693954617658626,34.024339257721806,30.96098932150859,34.97023111068643,33.575728580585725,28.542058154683836,28.81203500144791,32.538273734543395,30.414326314381892,26.64637729633141,23.5553823057529,24.645202424137132,21.667903097785928,26.111834688160727,22.489828392816385,24.28106250111343,23.812301594889142,20.090740207874674,19.104363575956366,18.471848168516768,18.546346429511864,22.780961435030054,21.47342474851525,24.086631111969062,22.671446686881286,25.91030227530614,30.567119681961405,33.458584124723444,34.72685757130438,29.911217948947183,31.362570138942893,34.84119472387094,31.11863436207331,29.515227115568553,33.82884967657599,36.973064310891466,37.23744073926737,38.41982126425995,40.693746116426894],[33.96572507713834,31.22963910585735,28.959697549558868,24.667212670535104,24.34036891870378,28.926089472609366,28.4457574516365,32.8292455412362,32.49094694180481,30.736646800872414,33.8468970280902,37.44542285400844,33.64060861976548,31.51892909337218,36.010443002301315,36.62024454475272,32.326727260456565,34.63581497054932,32.94534775991822,35.23035248407443,36.30447515042494,38.4801102130627,37.866171989384235,34.90573084229631,33.6848679277102,31.32185012748939,30.783899593180422,29.918699147397074,33.772306999260245,36.291471407531205,40.34769223960702,41.30652665257288,45.52224661794344,47.142015876388086,43.7778428625259,40.06602906118494,40.05475304264987,36.47883480411483,34.21170746863839,38.47599574137181,33.19742165941622,35.23568803589383,38.702461676258615,36.14905357892041,34.77085588190067,32.10967065784188,35.549322686300115,37.66990219187437,33.996643915245926,35.84760688094041,40.50943718994575,41.70483539438241,44.462824920363964,39.75930872451981,44.43114878201828,46.980279754620426,43.10272468551252,42.95455824261336,47.72316257438956,47.076351350306574,44.0813271768402,47.437149950778036,47.64448723315368,47.437311715000554,43.8030667342356,42.14741932812749,39.77772355977179,39.19787814340299,36.15130641850923,36.86829265094867,35.00835815198891,37.446593004197446,40.070165176389295,41.104501393231004,42.20844245569829,47.83838368438526,45.45332888438595,49.628737257438296,47.530988162081464,46.876472250934405,46.12553379626063,43.93369319181407,44.03663495375221,42.36771608175873,38.23340022615742,39.19248865622847,40.217209415280266,43.737886827954,42.39637923701628,47.78045421684698,45.490162708469796,48.765773258318674,46.80609374957418,46.45490293926185,42.383508584075535,44.01867316173993,40.23721761067185,42.929261029550126,41.58895116393134,45.12582114455544,43.3619873302652,43.07888394003615,41.819759186956034,40.16746417837447,39.71672411654672,36.16943762853803,38.67285360048004,35.8931590855813,33.46711391998212,35.458454596226076,31.862054515512963,30.386870393055553,29.46105971432322,26.353624720387906,27.39215598803594,24.104996361234807,26.252161768620923,22.948520271388713,27.59960723613268,29.90356384407216,27.38027991307139,27.032551538568185,22.328279009322262,23.0273883134867,24.568176435457158,22.90285620654251,26.454450739727505,26.416110732652214,28.324989059820822,31.498863399288048,28.626686272811966,32.758717298817636,30.853773512656016,34.106492774490306,28.216302431904907,25.956890934095437,22.282749082474723,20.516852967057726,18.24984178851183,21.390983737364714,18.65800391478534,22.45266786573861,24.900078110983085,24.57501092661133,27.94019657168444,30.217439667081536,27.900267975003107,30.661716644279814,31.77475652916572,32.30879421838488,35.20514817993549,37.32025600370217,41.77281659139797,44.15382388992943,44.07491899628958,42.51772746569093,39.04019379481491,38.590135869149,37.18672648311028,35.219543640032505,31.149835504858792,32.835802516070345,27.39561150872976,31.377348320210086,28.46695327472482,23.128986564921753,25.714132960676736,23.93263702926718,22.428046382925977,20.24638357323153,23.185364591167783,23.585131811026432,28.723888336987294,32.06153115392737,34.9472305063314,38.23780386340098,38.193207627227665,42.86292944379183,39.542938283295065,40.40780050217757,35.60973198771702,35.161682679987024,36.07620444591105,36.265585126833656,33.231883028404766,35.53920234636092,35.0444274406377,36.78158522451872,31.569118830510703,33.64027201338553,32.567358027637,31.932302675101074,30.502695101696826,29.594828254468563,30.963213522833083,31.515364162986135,28.489244408616287,31.720077971492074,30.78881799482388,32.47284313136814,35.614367466604314,36.84122714086653,32.991434192781725,32.50873151043133,36.858182626306274,35.109713572999475,30.005710305263502,34.414532473232086,38.94863145064776,34.14249367765669,33.90945234621245,37.90120002387035,37.54302791808851,33.857203455276846,36.18957638322241,33.70721250274545,39.6093402969415,34.76886693415862,36.19618554175748,40.37057507863974,42.75586453087606,47.16311114249307,47.19045004283804,48.80876843714761,46.83797261358103,48.487300516910835,45.99000087581904,48.03103772700848,46.44942631615924,40.82233907670943,42.89727992470151,44.27514934910472,39.99459520133999,37.80328143812246,38.97161734599116,37.64405005813461,34.53447072176582,32.50492277901548,33.253127665557194,36.62528468532813,40.10749009229502,41.7210327687494,44.65524239214029,48.67401059115111,46.27049432093123,41.95290080422648,45.57285279775923,47.18134269246745,42.39812940301888,41.463743830745344,45.27123928464221,44.41358255525811,40.94503226452252,44.9432817036684,46.816372026354,43.40477056613151,43.223868967418085,46.601436239891925,44.121397559202435,45.96463206324808,44.06761110469045,46.20518418454918,45.325908317193,39.86417655991306,41.3415533730803,42.1298095161395,39.44293373106451,36.32055685603691,40.485641540171336,39.22303803721956,34.12095897498973,34.34065557711669,38.1877914831953,36.13030550771927,32.34774610348457,29.163088655066737,30.318542522870107,27.196669927183866,31.540295442580817,27.680219074367752,29.418554394755883,28.41030941946659,24.840681624036534,24.204735097264248,23.950878038357423,23.96968276128755,28.039632411165837,26.095651478320892,28.498555643009453,26.41302574821676,29.84750669686614,34.31866136938646,37.40146571866451,38.097557263280635,33.247898663538045,35.13585814882318,38.249531948994786,33.956504383720784,32.792145658808565,37.35153453507781,40.13454211231719,40.15453580395614,41.10718770835986,43.43442966187386],[31.03113447588443,28.04133075491424,25.096530992838712,21.023300999844036,19.522946992185346,24.40360540561039,23.499572204650626,27.693274436917836,27.80489269684204,25.96920284524663,29.263154075362962,32.57428963313031,28.498593620175498,26.967401049216413,31.35829061939376,31.59248290090303,27.312646694395212,29.849100125113296,28.601293040911706,30.43105356876883,31.936548151715925,33.97761078998931,33.847181281244936,31.15310807177728,29.358969776168124,26.944198687539497,25.81630711168491,24.811282869343078,28.55534107459167,30.856469965071806,35.44169261598703,35.91346548928213,40.26552915606023,41.957601699479945,38.39927472719594,34.808846425109124,34.412953727840296,31.006272724066463,28.662478063931008,32.89800941889135,27.882773422374953,30.25608514872494,33.774302851254994,31.34513740360535,30.469917295950594,27.8440173359247,31.573737053098085,33.18114090619098,29.102430773412806,31.342587469274314,35.84024638170929,36.841569103721454,39.528377187001176,34.504571920534616,39.01207862442686,41.89360050614748,38.22692379244551,37.73451266806235,42.54838271305756,42.336474737916106,39.376822395772436,42.72340086437265,42.849281210740465,43.108971955727945,39.40768489694015,37.41266600163355,35.532535026967025,34.6837064979594,32.145842912850775,32.76857412309768,31.32100632141401,34.21790609998889,36.305615159543486,37.30873478547142,37.83714546769468,43.47090974777436,40.725144982834784,44.728884423485376,42.402344618963,41.64559236673254,40.55768316040765,38.288776991851506,38.10427003055117,36.39053196523094,32.341561751742944,33.36340585479887,34.72155748213495,38.09377609303946,37.18574934700298,42.5692172217228,40.58927000121706,44.166357649187574,42.178265684268226,41.64875874029299,37.57849482118337,39.502554236915145,35.76162812896002,37.88660924126506,36.42601632607093,39.82875551464853,37.76998287856298,37.269901063734345,35.873182746132024,34.10868694997417,33.497678140217104,30.02040268664931,32.578714869032275,29.879510874794388,27.62447293469246,29.521847261831443,26.12411848861143,24.412423988687706,23.834084536230492,20.563867203464675,22.04034935473242,18.799534451607755,21.203892654005653,18.230537369788273,23.501932180530485,25.404888591346307,23.17344173001483,22.573172914946326,17.836491268006576,18.131819368017254,19.56134310442184,17.218202543999265,21.02797159422751,20.484534784924527,22.38690930591621,25.362181689920607,22.744190777691955,26.91184851757922,24.937871267862,27.980123740793168,22.093622793328958,19.736085627604282,16.27860740988862,14.298214316029425,12.20193392873215,15.467357542651117,13.517081863743023,17.655655246909635,19.958974365444764,19.151881049570846,22.418080015629222,24.612978864157363,22.20881705620827,24.918468783294927,25.87696080030829,26.720381956498194,29.538637499588713,32.031808841247184,36.35392795600862,39.18483363384952,38.957650544572815,37.07432588082793,33.551259869922994,32.82766479124612,31.424333380601464,29.176847620626003,25.00629240704026,26.898243831350683,21.445267521262085,25.48921920648012,22.610527066952365,17.425695766456517,19.96852595908425,18.738249316695104,16.994803623793086,14.379746721960137,17.160122878189938,17.42066483989169,22.594490636415273,25.900348296730662,28.822496459481417,32.0767072438064,32.20943940543437,36.76862945435559,33.471994869380765,34.240169165773985,29.504768729722574,28.927150070901185,29.95909519757764,30.322124885561898,27.26069659739147,29.77918305750386,29.388759561160242,31.456587270967912,26.526468897172244,28.478108251528084,27.51912989291197,26.424714591155084,25.040453092623764,23.977419551458123,25.388467521464335,26.1855068043131,23.020086032317163,26.370973075875813,25.71667683970288,27.0395434583515,30.599324075628584,31.605937502546958,27.734722735061837,27.833883457898153,32.21769823385048,30.408084896200553,25.81973798986405,30.412101485287366,34.67967654080305,30.190398925131614,30.42816286563108,34.43882108147335,33.91989368432928,30.739101501774773,33.47897233021162,30.965969888789868,36.74635774017574,32.30676228295925,33.02901149262167,37.17510125686032,39.514346480340585,44.044957512307526,43.816969610649664,44.93379523006328,42.67490578691784,44.009574964403626,41.15541560210064,43.314558012570906,42.172742492400474,36.321992640474704,38.08168565631761,39.89883998234654,35.827323248995114,33.229276506544366,34.32516808439918,33.703171108334246,30.582153711707033,27.794232695445572,28.56291617920788,31.277176566239294,34.88740194019961,36.614356713013564,39.255961192237194,43.368263966322544,40.70087097466509,36.551310695639984,40.48143151582265,41.87335669754415,37.040196816737655,36.50845096325678,40.41278443931312,39.586379881451876,36.37438994019001,40.518631489483795,42.45445638883938,39.257072780481764,39.313191496716314,42.67627788086051,40.20215563030334,41.72926517609647,39.48157347626999,41.757792864012096,41.35480020282026,35.7707775225683,36.98238879686529,38.27901476389216,35.791444443504275,32.27873389435356,36.67772462637738,36.07827815211875,30.823383211442298,30.647963128482516,35.01339094221915,33.530958027202196,29.67252664294051,26.467355959340495,28.516647843942,25.662348517193077,29.708374088876493,25.554395851200542,26.374611274775997,25.15568224206626,22.367185376618618,21.25115823610003,21.351613078310585,20.529407435999556,24.045857539261707,21.34665189379254,23.238697191695017,20.941791083889044,24.870128270199142,28.953464393438644,32.240175238511995,32.726025094749524,28.11557479040519,30.46540802692133,33.51934899682144,29.135960749474542,28.596408931280777,33.2384467471232,35.88232305472668,35.83520035612477,36.701589036933896,39.0319723881239],[32.423157739103765,29.24165839056579,25.944232043383536,22.469948744536346,20.494286490582866,26.03799627966967,25.306577596112646,29.42084286653132,30.044230574951033,28.402193010575775,31.826007841263355,34.887586483852274,30.717327926526618,29.62655800445878,33.91599167726458,33.87054361491282,29.59515821904414,32.11927082223135,30.872035414283395,32.278801170432615,33.76509771774899,35.390922914427875,35.398815405480875,32.611936158570394,30.717295659090432,28.711897286671874,27.405827498647287,26.708239667803912,30.476749950403786,32.70056579362181,37.69324359502101,37.81388140641455,42.2683005292189,43.908726359169776,40.1543140753551,36.600795763660365,35.899514196900384,32.370376138587,29.757945778289027,33.43358537044323,28.588429807008414,31.46299841786592,34.70768662610122,31.98693415668306,31.057556247463534,28.080151361704278,31.626648014250613,33.43006899847101,29.14787416976803,30.873563797579035,35.557824184976575,36.46829813017678,39.390553285986826,34.635946417154834,39.09236186360334,42.0986123001126,38.648644182240766,38.364880073516616,43.181025181197676,42.91913881950593,40.3907236182873,44.01390305620465,44.37581690079574,44.69452756314282,40.861930689174486,38.95840364911214,37.557814300975224,36.839052786523744,34.63823915309363,35.42887778293014,34.14364989192101,37.17980051289086,39.053376664899176,39.83152005048039,40.190616263848526,45.66963537545897,42.599928074772926,46.55873820886847,43.97003775131868,42.89002218862795,41.64832299080296,39.031960010133815,38.8116786584784,36.699387306510474,32.725980713679036,34.236259761145895,35.87256513400023,39.346526663219066,38.788963264921364,44.31031628883913,42.62490032228018,46.396910825278425,44.52246114712043,43.96656224408443,39.96414443706852,42.086090951675615,38.400658661249125,40.12375898501328,38.55080828076509,41.72706611282911,39.46215586571342,38.562983126387984,37.04900961680917,34.9253568400448,33.736274791636646,30.312253413092478,32.457141305447266,29.40029205425013,27.36751676412072,29.70962202781854,26.680617899407657,25.244244152203674,25.298572955826383,22.084523544784197,24.155710599821568,21.008743427238596,23.46104437042545,20.564806415728857,25.933934277864164,27.889277695680757,25.933613451852366,25.318712917612547,20.64935469746259,20.679905360314695,21.82697742492254,18.792735511930374,22.0832733579608,21.126700393069086,22.46499456340598,25.191095764880576,21.95193505768433,25.832597581554964,23.760155042292908,27.308081233219383,21.442943744300127,19.788657267616774,15.858567558271112,14.781943341952562,13.537271748393943,16.69596144626184,15.096410839332279,18.77207007934543,21.54441590111508,20.714934081318134,23.618628963037168,26.119308364526567,23.801559196947434,26.52883504113411,27.20818262154424,28.367925269602537,30.832529491724834,33.73083207218036,37.80039584243152,40.9376934218237,40.84438219443072,38.7465067175729,35.29102068020833,34.163428828406175,32.929777865781254,30.118476961339375,25.77184739268673,27.973934127616495,22.33366601030697,26.0742780667709,22.5277537169714,17.188267114102004,19.019041380353197,17.187126696710205,15.249967728848745,13.439977651470974,16.37255391784665,17.462061314993647,22.570093877851388,26.098919680976206,29.32599558493282,32.64065159610931,33.27954099625287,37.47702087304685,33.97074911532481,34.44106569056049,29.439921668860944,28.95509491341683,29.339837504981233,29.37197887819799,26.541948626644736,29.324403090568886,29.435533493733995,30.997020706877855,26.042572646887475,27.516632694672303,26.124683100325857,25.29347242047158,23.44998686175273,22.369571690335956,23.648965615989226,24.198375910309874,21.372275773697528,24.778703052705115,24.313768078936192,26.194438452990507,29.54737197243898,31.055573250770177,27.394021161748437,27.10307811329484,31.583391612712425,30.306674849095625,25.610390961818883,29.940853931718515,34.53467626255942,30.473083570842224,30.489180046444805,34.47623226336,34.42005357643418,31.332717756765387,33.69317340201305,30.901570420856906,36.536195617860464,31.49764679457345,32.25851533045293,36.42957166618112,38.32432555965842,42.99053529934229,42.404425088557076,43.63519493723872,41.284094706013185,42.57009124098952,39.86655817883144,41.66187352529138,40.417126569286275,34.756020564229445,36.41719136272561,37.83272476359878,33.78233044056593,31.327718713118966,32.17040824112636,31.265897845406254,28.388242556929523,25.68005920733884,26.927319826489896,29.915627537384488,33.442164783328145,35.47320076915111,38.31324512515243,42.5719055675977,40.16378287839454,35.900930680646326,39.93053971967019,41.63601091277087,36.95572199791399,36.28314946042671,40.41559868782194,39.874222981153416,36.57336744641042,40.44231131373256,42.65990628866948,39.75287900072644,39.4226529247082,42.583475666686134,39.87512366400485,41.18424503801056,38.8563854842483,40.78676479877797,40.48854632218645,35.061183043441076,35.876338493769424,36.99961850670398,34.6805028026325,31.002086508984704,34.983060788475896,34.43258708975391,29.366930781084157,28.824317792614412,32.938164599549985,31.584785972761708,27.866666098930136,25.100937924228035,26.76330261364438,24.371279024956085,28.702530825332722,25.027331098514225,25.916351867330814,25.356283966906073,22.43291989559927,20.849302579762043,20.32752066548742,19.334450801076265,22.97683887724711,20.915647000576953,22.595160850684938,21.08703885264793,25.23289249220448,29.25604903392056,32.51124853295608,33.39506106195428,28.962166781797183,31.155597390612535,34.49572534839755,30.494392232449318,29.833465414835167,34.29820556427386,37.17857769877384,37.26853484791964,38.2279273240367,40.497122135349834],[36.03138692515894,32.93925526485227,29.811316825515817,26.13352342656607,24.355400189385183,29.67540846110127,28.76565429603702,32.847553179903244,33.178428557634,31.18748793183933,34.4393074178623,37.697669108937546,33.31198522202574,31.93765537469485,36.05824999179209,36.083843058192194,31.600396046361567,33.674787469057804,31.807410563333768,33.345251054091584,34.3364160095004,35.82995302352069,35.45422350416371,32.375945031457995,30.936463003673044,29.2228700349071,28.440934060661867,28.193213950663793,32.229056122609364,34.85923386365616,39.531639853894106,40.10998418163522,44.49028489142936,45.80478369530843,42.09531753709838,38.317538566606146,38.004456908665524,33.97900588550831,31.28868556694947,34.76395145703702,29.614333203544792,32.29820701749779,35.36112605232007,32.40171715929589,30.959105796237406,27.881112347137705,31.13720059136915,33.43752510635206,29.550303934015503,30.85913014591737,35.695749383599576,36.82386179724424,39.81259004537767,35.45666850824314,40.10811358457499,42.72197614449166,39.08507258910531,39.254670645780436,44.01467038093698,43.25275877804624,40.84538412988732,44.62453185764109,45.23127148069612,45.09091209355172,41.23080150527251,39.74122567591386,38.18541411354437,37.899004589325955,35.495913629691586,36.67549230302376,35.142507117420784,37.961522362598764,40.06402653281755,40.54008899119233,41.348486666129865,46.65737106282402,43.66186587680786,47.81880127705542,45.28244764189052,44.090848158388745,43.24283635988997,40.54710488119852,40.83960255720471,38.64631220620233,34.527671522478215,36.1370752752142,37.374858378993274,41.19959694097733,40.23120143335875,45.93696746710572,44.11761742606894,47.73917023910057,46.09296733284957,45.841361345584644,41.996340371711995,44.117605360798706,40.557971152750476,42.53951781047065,41.23355640895416,44.70817439473152,42.20711537316472,41.67903587733079,39.848387350913555,38.077329585901545,36.74698102674231,33.60086812003706,35.85615059957884,32.83103445308165,31.042338530184725,33.3211128880464,30.393605670526032,28.64597650078657,28.632513506535265,25.153596546997434,26.763523924251253,23.335384488892434,25.281415974125107,21.878838480214537,26.721997712112554,29.273663107462816,27.36045573680961,27.21592614307958,22.607003998607162,23.193190725233123,24.819243761584325,22.04745152545735,25.801527285971062,24.691929780968362,26.10520434589707,28.527620427064697,25.420841738673467,29.10739800329423,26.67625641810904,30.261454502279083,24.394693072587767,22.90516871309902,19.374767008360227,17.888021244875404,16.250040556861922,18.934202504140092,16.225174843969004,19.332631693863956,22.499369410571735,22.300177914418235,25.14171036838192,28.04949879456196,26.009727138880965,29.117312445153047,30.15453438881942,31.495006250999445,34.22930709501946,37.067474780871116,41.245123829308795,44.37190432234392,44.05769791464761,41.92787843494498,38.32994652756956,37.361741524517676,35.78253146698491,33.21449994478826,28.579523690266832,30.268702983668728,24.463563657778895,27.9394745571798,24.25798855472094,18.736623472077127,20.868626296120343,18.480397339481083,17.32452778733578,15.764735066955843,18.96337789343308,19.97638050834844,24.911385519892452,28.528846839031193,31.73801682211229,35.27551123744402,35.80431346590695,39.98503412082518,36.215297239491214,36.87124712689891,31.667129517987433,31.779697777325396,31.849258652541085,31.569288032400596,28.659623996187783,30.888032305754276,30.79884112939204,31.913223962709324,26.62448183330297,28.340307853840386,26.990475904675904,26.71451653390781,25.18724770130322,24.593244805072814,26.15177552038205,26.922906228027912,24.55794752361053,28.120546432530183,27.935253432286746,29.937999734850045,33.32383188604736,34.92999842206062,31.307877541984645,31.019558229936532,35.5131200226099,34.300954881080145,29.581849523583287,33.87092991538888,38.51885272357628,34.42959024066929,34.381338627453744,38.37130372480914,38.32573889679738,35.13095007537661,37.42598174627994,34.630011808274936,40.295307673265185,35.05662493565398,36.002327293637656,40.18498497667335,41.96624867736471,46.64147226292955,45.97895531239545,47.319409741516395,44.94933836754402,46.20119607270633,43.54021117518311,45.13713278844716,43.88345728137376,38.340044955614566,39.87984176358561,41.0584576965595,37.071447075222466,34.689138817300325,35.25798923082697,34.22252591111197,31.600179876495787,28.84394509812551,30.482467787616578,33.415051890051664,36.93156193536407,39.16999931218982,41.991415907464564,46.331165046359274,43.90511589574514,39.68937317788267,43.817405493191785,45.525061139585574,40.851090339965424,40.245837052538455,44.39871780890262,43.85616465644483,40.57124948070345,44.43552472681114,46.655978722440594,43.72171173106092,43.38740511183292,46.5439627875186,43.81368478036775,45.115476790494,42.7789593322223,44.61738022605043,44.33026345053045,38.955703748736596,39.67025385966586,40.70103325112549,38.42069880300444,34.73389597746055,38.49524855384051,37.879041718699085,32.93568530406332,32.278864695323,36.15311390618298,34.758916121050255,31.144133930669774,28.569202510599396,29.795195788507225,27.48215251268333,32.011548126712995,28.518199485191303,29.67535881143666,29.187279534553582,26.053367549678892,24.576051478775895,23.862129947546247,23.037477452497445,26.79186657362535,24.891662080873857,26.468815196335218,24.980693053979653,29.198731130335347,33.15315347309861,36.45564029565159,37.2265675568178,32.81909171466203,35.10054862223949,38.3750678423581,34.229071126088954,33.64267143535919,38.15944931282536,40.97539372964213,40.99620821080179,41.87548135217141,44.143602672346276],[35.2723302548125,32.288257668203585,29.177124567953864,25.11762311334399,23.0994257116267,27.795125270679204,26.334402118638067,30.22441474370924,30.21097402407812,27.76078039126162,30.823222902965618,34.19479154642305,29.59401904301675,28.06225667921264,31.98797919815298,32.04694907933915,27.460995234569758,29.318180586713382,27.291242248691706,28.983304745211854,29.925571685249775,31.626149894629584,31.188081906636445,28.188593587885634,26.759808304217202,24.832665988331456,24.195912176726402,23.933003395307104,28.043700401914847,30.88214069088196,35.2754058579271,36.172324157796986,40.467220037055625,41.63070058680822,38.01910328556076,34.14673204181338,34.133747652279645,29.98874407979013,27.44368047475129,31.276645703807898,25.938654442770204,28.241628231217547,31.47649544077236,28.731286682559784,27.35750469223528,24.597681080063886,28.08170004947845,30.12662898339323,26.40759263704112,28.27522109443916,32.900583224918684,34.121758628296796,36.861255890118656,32.25324629676213,36.97099790565143,39.44020988047036,35.60789311183085,35.624155464348625,40.37687086576951,39.643146420820514,36.90448599397373,40.5073538570587,40.992142431701865,40.802626984079446,37.00957020796223,35.48260212011055,33.703171769817864,33.426124257600534,30.931146415216197,32.18449974147345,30.615383914691655,33.4337050701513,35.51866979144203,35.95236606132652,36.84668858888465,42.156058396129374,39.281776177882946,43.49066430113456,41.08946494197353,40.06141128059789,39.402330173034535,36.9357862392973,37.419008310482425,35.519389578094106,31.292474809985762,32.55459922887892,33.47624002997009,37.342163499661346,36.055556773131094,41.743852255033524,39.775259486303014,43.29806182549044,41.70047832108149,41.57636620403042,37.818300124523496,39.94416492215496,36.49561479703229,38.6171490258805,37.54541388196778,41.32093766153885,38.63971490966515,38.598435835701096,36.55170715824547,35.29619471263181,34.27305944938868,31.34949245498465,34.07612778333762,31.461489206879204,29.78365271846883,31.551550238317795,28.563403293726815,26.203909532068383,25.881688682830465,22.098698821773507,23.12564857773937,19.504291944325598,21.092044990763654,17.490588701147917,22.167511927894115,24.849327974767625,22.98192456242397,23.085231838176714,18.60582304190712,19.596418662795422,21.72375471173159,19.296895172976924,23.89394837459029,22.63165619994309,24.5184091618813,26.75335313631058,24.470360045980275,28.294146896881536,25.659868024187727,28.656769349319944,22.781084752151745,20.76077432106558,18.112899316471577,15.499826394662877,13.123025439270993,15.416390220466091,12.058533033254646,15.301970828566638,18.249604814166695,18.24764258769514,21.24685734362374,24.13102944756188,22.21205822920061,25.53703980227293,26.97035047884948,28.398725875441414,31.542094244412766,34.21889436627983,38.55323627198783,41.6841891379684,40.9879867051696,38.81614892437725,35.05675085759896,34.37818006480316,32.40191072262834,30.334510481879725,25.59886237682581,26.752544926090728,21.019300506644967,24.58092097417326,21.445872071005542,16.046835660176438,19.036600617655935,17.294610178069888,16.614556863789552,14.145608812689865,17.286521185223517,17.433541226413144,22.292595355035346,25.74071081998492,28.675192628349564,32.2807197546858,32.39618423080064,36.793882214153236,33.0569975705305,34.05263352572604,29.00632237722951,29.368771241093338,29.895695856384986,29.847827001216046,26.63823185584041,28.39371861484516,27.752830852173876,29.315525026746833,24.031645241708702,26.312308390726066,25.521835359167454,24.97811342223805,24.138115250620395,23.745260378213437,25.642317659739845,26.966938924292034,24.46378987532379,28.17126975743716,28.1941401473752,29.531121730469753,33.406051144412096,34.474247982082645,30.704759508167708,31.160041331406816,35.57988680988744,33.913814516191096,29.668545057967076,34.24223878239678,38.429350049507285,34.20049910506926,34.6153461499766,38.60780124813225,38.05668989447657,35.0778050483346,37.90578881778282,35.353984519106696,41.05165760729425,36.518327004364515,37.07134135708381,41.20421416930094,43.291028996771054,47.920300477482805,47.37878709540531,48.3369016008441,45.847501542481034,46.907826387439,43.88543362063976,45.78587533129037,44.92921362066504,39.12246974597299,40.46041056512577,42.187600000027885,38.358327437458236,35.59662278081746,36.19219062133532,35.84610627271726,33.124459660036855,29.72372707863075,31.17807692703469,33.36183053582929,37.039921601440675,39.20707158266828,41.62491072941478,45.93990459874046,43.08206225683217,39.130772726854545,43.43766397428368,44.70331559611428,39.88163390366348,39.7310733810163,43.73862067750975,42.96406800061677,39.96749088695682,44.150730128242024,46.14903888849718,43.09985839066621,43.27108686007699,46.581858753680834,44.06688205086136,45.34359313000668,42.84257461974139,45.03093835444442,44.979524710945554,39.428155654000754,40.25528313488543,41.734419801405714,39.46247531374491,35.662055124859954,39.83228464012784,39.5824252833686,34.43801496017024,33.779572411767965,38.10797275089688,36.95608906648425,33.21706746403661,30.343340869263535,32.2627860103555,29.746748388995755,33.92580144112486,29.944444138484677,30.599847930763584,29.47178613208952,26.865210654608816,25.543006441951007,25.461806649483204,24.323840989978997,27.646753747723892,24.821782850275394,26.12274481741845,23.888229718392054,28.272082303510015,31.90215013289269,35.37580153070335,35.57017009467186,31.254376200531343,34.019868477784755,36.9227158031265,32.34458375585144,32.35423928887078,37.04678163244923,39.484800913746874,39.29319323840393,39.96313705838641,42.25958268800414],[33.80820558892989,30.576338094496734,26.871078452962347,23.52654401130042,20.511278512112707,25.83898237016116,24.37939216357193,28.060842911820682,28.81935334196606,26.676181885373108,29.983959533188848,32.881739766732935,28.205720069888713,27.501906307168174,31.335072868685028,30.93110554983533,26.50472998711606,28.679383347549578,27.237001007768704,28.219736856876665,29.62329198422491,30.928661256763306,31.077148021169204,28.32613517421906,26.273582447966675,24.570636049831514,23.170010332587417,22.886307411570925,26.778181922498806,29.20986232569762,34.362845014633855,34.475895562909386,38.94588413371643,40.25650838929628,36.36859731166634,32.72014665667478,32.04296857038582,28.135632715815994,25.347939199531897,28.735388516808197,23.863846372820078,26.915046572163273,29.99828591647989,27.185404828143096,26.316221429253766,23.31214992500166,26.909767664138016,28.58804044235791,24.26034531220831,26.07133694893595,30.6983384316623,31.614690965157653,34.49767616329516,29.765540678849735,34.24950331510798,37.2042189913647,33.78013404386392,33.572820494510545,38.3728757927952,38.07586883662433,35.69400182080741,39.44489243664189,39.97092563177625,40.30587622193384,36.40050950890042,34.576220498288755,33.56994242793466,33.04610985500653,31.23291205658289,32.35890852335643,31.279211689672266,34.5093391670855,36.019163033146064,36.40738435255614,36.62962090415849,41.86126015149332,38.50527703368048,42.467246489650805,39.70443808980978,38.396827286346195,37.23181177758689,34.456389538925116,34.50907185080539,32.26498852542943,28.21448274565517,29.910356320690322,31.456619847978363,35.154815591350996,34.61385991134859,40.3084322814033,38.82867375139638,42.72668649737264,41.102924177426175,40.714243284598105,36.95561660426634,39.37459008770318,35.95051483260392,37.31550226893994,35.966688214771715,39.327813104196224,36.44053674640994,35.78316772122737,33.70282291041044,31.93549980273636,30.382437718981826,27.450036627905547,29.823462873596874,26.958168867588412,25.51143191014704,27.589496981241474,25.01857602154874,22.8600260462569,23.312794029686703,19.626456444311646,21.607096721299094,18.291378089796336,20.28365904512898,17.296590453909783,22.56108231369686,24.70009625702538,23.23346801013745,22.939326159381473,18.578043215519212,18.821375081353366,20.38517082228515,16.932463441222325,21.01685823002872,19.14978676562993,20.51595299892952,22.46655093330902,19.824876157505802,23.462468219822167,20.78573778726128,24.059175667518886,18.190508479940387,16.682484150735903,13.753858801831125,11.867993783584026,10.618626075283606,12.985085741863285,11.153226000921704,14.324369579582088,17.376810960394717,16.729954167706463,19.30609526674917,22.21486146977965,20.21348555257924,23.326241029490212,24.26270218940623,26.05894803564598,28.728928973882784,31.950579130069872,35.93664004373703,39.534253035287435,38.972466326842124,36.48306519559342,32.83770355012554,31.60753198833842,29.930340405393352,27.126684350595397,22.296736495691075,24.062338946130293,18.23240574245585,21.653338882851223,17.947718409913776,12.523816569728051,14.719864443312556,12.999091541191257,11.740243861166494,9.517376977830198,12.681624783907655,13.529129789575144,18.437881828367555,22.05391973098887,25.301217723499587,28.851615772433888,29.56232312487951,33.58247633625052,29.785184525444038,30.384408104462732,25.206880725261513,25.34887969719007,25.497838152024407,25.38376907004579,22.36735331367262,24.72265720212156,24.6931445757627,26.19802556194996,21.200873142706445,22.860659667518426,21.72779922105967,20.89229144520203,19.557900764089894,18.891153972668565,20.65003890083277,21.90240925921158,19.48688992396543,23.263581909145763,23.566501299760727,25.044893342085796,28.9714155613633,30.24925713294968,26.66382748632408,27.17414429555457,31.613533204804977,30.316546982990204,26.373762234202715,30.780124235387294,34.982586749288956,31.309846169218076,31.824575269541906,35.74587056383758,35.455987520677496,32.878126718252396,35.611434682548854,32.890210159183724,38.32505462324075,33.70505776851612,33.8534872429094,37.92317589979461,39.67407591585409,44.410962814223694,43.50657784336973,44.240532808624685,41.55584217481725,42.40911645093659,39.31052043877858,41.05071146485215,40.37305133721614,34.59866673082442,35.70032721755684,37.438612459452465,33.76704933994941,30.878252036782087,31.303647032999116,31.22319208332868,28.64856071578804,24.877701936979303,26.595130912834392,28.552095828347348,32.22136399763376,34.61393513296903,37.003822694259796,41.43774702261517,38.652864386129295,34.716618636919755,39.216733874162486,40.59689702177982,35.89473343819473,35.83959773633671,40.03524441375951,39.502802633548384,36.59538021928208,40.61069271369286,42.837968960787556,40.15333882478796,40.15510896828706,43.27815045576739,40.62236387599783,41.56099872082433,38.836388756469944,40.851211962218116,41.131312038426096,35.67419569600854,36.081270982704375,37.72571585675793,35.70342674023918,31.623119376253673,35.62376837160191,35.800110676052235,30.761972975208863,29.656392327218096,34.0924280050685,33.38193077710695,29.748188270834405,27.18952930591221,29.392835211297434,27.370916907123565,31.42403695983057,27.66561125030702,27.798699322304124,27.02683773666073,24.866495714203683,22.9978684510937,22.747599108016566,21.015022323139405,23.94041203977511,21.147872946299668,21.93472409808586,20.21502183406539,24.9689571062686,28.28391731794014,31.79536798887,32.21906586007331,28.220151145249773,31.052474074599978,34.133166784164516,29.910885573121103,30.12601073328391,34.645133845094996,37.19299014267054,37.101489595064216,37.82861697396943,40.05969823331688],[37.051124672613625,33.7353887559499,29.981508779653414,26.957994105167618,24.054272120619036,29.79985881501008,28.618146821782503,32.33184405753754,33.283033509536196,31.2614489319959,34.59451967648406,37.444353569145306,32.74829982009714,32.113970543280054,35.889462917783526,35.406795630224025,30.943684110377554,32.92157763383138,31.17359859989725,31.9748579409187,33.05747524121213,33.96249365774256,33.95925069983657,30.95505014252816,29.16847373807054,27.97822168221971,26.79902940347709,26.954452346601848,30.93861465118929,33.4611196210922,38.68123869407349,38.766886718016146,43.24587174476276,44.39671650487949,40.424107987339454,36.72980850799188,36.01733784850289,31.84107106790176,28.844582103274707,31.578323543343412,26.765855044953057,30.082066061986037,32.78073433491268,29.58085958711341,28.313565038795577,24.927840399296386,28.06620064288748,30.296392093375438,26.091365872460656,27.006150178017595,31.904192861691484,32.86391621106954,36.02582771987116,31.887033530652115,36.39533563997961,39.20518516573651,35.90379030359665,36.19008112420257,40.917264604348354,40.25469724704655,38.36527532286503,42.42194005016814,43.280093577587685,43.37597799330144,39.37666383918512,37.89544506846089,37.13740426868424,36.94747280951477,35.20908623192372,36.60611908025935,35.4594610317819,38.60372185133836,40.16833315389391,40.28937453654972,40.67398733305669,45.70038294020773,42.194321445406366,46.211232539153315,43.30270971717414,41.689830304872395,40.61738074329975,37.522123620894746,37.79715412475008,35.16987961584806,31.17372780693332,33.33867581159631,34.90019073754512,38.816007393343625,38.34417412578779,44.187929836643164,42.84612687805494,46.77027047659726,45.32490028959299,45.05207982790775,41.39650024992894,43.88634397030633,40.520033110368225,41.79842647277324,40.45421942581301,43.72707468986949,40.714821187242336,39.86402279195133,37.662890307343815,35.7020503399011,33.637017980401694,30.836602574536073,32.78790824071959,29.586894998363928,28.372028470514323,30.86865847528653,28.596266939968764,26.743641976083754,27.55923043071323,23.973268194830354,26.153453701315655,22.851043244674692,24.69878746610924,21.553664380887977,26.522874121646293,28.982672798440653,27.62122835007808,27.48855781646622,23.140345857805563,23.433868600181963,24.90649472104714,21.28048474805523,24.89106368042064,22.917687863615093,23.790312380198703,25.495844035100877,22.228602864430584,25.426910635755377,22.615769519632632,26.447510645882076,20.747687563550098,20.05924679705938,16.764342077431095,15.791293543615074,15.0603164876578,17.204949184593396,15.13298840962136,17.51491224845749,21.065565641274123,20.765068900289766,23.000896759116845,26.2553470226215,24.447905367115872,27.630064588037683,28.450748484545684,30.403142855263944,32.84386751308082,36.24899726677116,40.08323193839921,43.7842186318926,43.347490950111094,40.781864547783904,37.19026209171689,35.746335100762074,34.15597336876607,31.033462057652383,26.093106119543677,27.91024372137544,22.000091861787546,24.95624248685657,20.627997768737302,15.164927932315045,16.566200394878916,13.7028090794735,12.722934196644768,11.956010748267142,15.199440277229165,16.881677280025766,21.46004001343435,25.234614440140057,28.693670846412623,32.32045531704675,33.40630003675429,37.07708388335958,33.036330437763965,33.42018867118937,27.97201107417249,28.428302614355122,27.77046128898681,27.128959496959766,24.41047842640426,26.732502123002458,27.135776691972787,27.782644721962452,22.613078340687466,23.826466623919085,22.164895818167587,22.060353514488362,20.322942836009087,19.91289101968906,21.57275539318961,22.516655879258696,20.75535105440687,24.527586900681843,25.01441697548687,27.19990895738226,30.74141390807938,32.60614398947016,29.26329245020205,29.188901806704827,33.68835060571054,32.93470127617768,28.710393598805805,32.79599175145842,37.39834996008776,34.00089509527049,34.143780438664365,38.0424079925795,38.22575297365791,35.530117388186525,37.79004621832297,34.820542615380006,40.172186945618606,34.81654171708443,35.26394414407051,39.36287345332809,40.656018330652856,45.485182824478855,44.274548580821644,45.30037170875075,42.609883602319954,43.493894792010124,40.68465582345458,41.939767880506686,41.02315555502507,35.58027413201023,36.63064376820477,37.71822591915107,34.04948809033966,31.47975521829593,31.552251270469725,30.90619628387372,28.7124172588208,25.275749769751357,27.615654250687,30.0415725249393,33.54254690783709,36.2603125217232,38.927492661885005,43.47802801376158,41.049734786384136,36.98020474973378,41.478199393672206,43.23240178996493,38.715889949590284,38.404861045352355,42.77805662269875,42.50416550807641,39.4343399289199,43.1362886147815,45.60718756892036,43.11508168914657,42.68093845621388,45.61626148814195,42.73303205764004,43.558005150844764,40.871911626316596,42.468391430319805,42.70735647807802,37.471374498329126,37.54319924134421,38.82377326599935,36.92667263751124,32.81736760609651,36.23535217181158,36.247298887652775,31.502983571421353,30.112289766500616,34.03283668797489,33.288464934130985,29.872177086586333,27.82889471952747,29.255207401403332,27.651268808369668,32.10049715729387,28.924829416997238,29.471092302924106,29.36623666998291,26.773560530930197,24.679844456851992,23.715145136639258,22.14929371621286,25.388876830267606,23.519609744166964,24.28728690922259,23.385862433123492,28.110701553504388,31.504696403729348,34.91074204215724,35.74815676091458,31.820216759975384,34.36077784044247,37.705393138298454,33.80680999938203,33.69659216741045,38.06739249301811,40.86479722337171,40.906430947868714,41.733541656901615,43.9190339305772],[34.62386259021237,31.25393656955556,27.504929251434596,24.776452069610865,22.067964314352665,28.151035612841508,27.436526897872163,31.30428276550318,32.50523593651968,30.97378584299311,34.48203707323467,37.21140327473367,32.86928667155096,32.34668865107695,36.401122111876255,35.97412756578013,31.722932150873795,34.150752068068876,32.90729838013326,33.74129198944957,35.19630638088217,36.27441897300295,36.49235071262219,33.66385025199383,31.624264614379232,30.153678782457085,28.62863576067813,28.340095273808792,32.08800527579902,34.22472615782035,39.66401340987883,39.375026991160574,43.91456223677609,45.42443565099178,41.445659644999616,37.95682492364548,36.90785116163317,33.227731491917496,30.31921204749857,33.22410476689686,28.68344862425446,32.12915181959413,34.98215275697883,31.95652520323044,31.024983863381014,27.693271726263355,30.971054288413132,32.920119725326416,28.43860920463182,29.53190141288956,34.34515052836504,35.12003626073399,38.28334259773634,33.9084810862084,38.24096905306575,41.37503196352207,38.24070355800666,38.20350176948577,42.970854120969705,42.670039733323556,40.70480730837834,44.636640600225775,45.28818313863965,45.701786337345766,41.73729667430422,39.94992586524447,39.19578364623557,38.64654072838919,36.92570858740672,37.94252626380914,36.8949387936581,40.11348783534885,41.65780051978206,42.11674044115525,42.235025486905826,47.46053581182594,43.9795729398507,47.84955196860252,44.93862133423896,43.449480573862886,42.03819154823337,39.008075414490484,38.78576469967877,36.19940340636911,32.365468042312514,34.46682415867603,36.402256112697,39.98617545344419,39.85799061296365,45.51831836819812,44.230090531598904,48.23266940025607,46.54109104356135,45.98370299727535,42.12949293182306,44.52299591889585,40.972465468626325,42.15541811078412,40.5118149442037,43.44815682768652,40.83085168550987,39.5313943641473,37.776946885615914,35.33350417651383,33.39614043051403,30.1969987689968,31.858407506739937,28.457645088597,26.87870674595696,29.650258951424888,27.22259986900893,25.970536418467017,26.818074911411095,23.63896221303,26.281575399266703,23.26717371546195,25.64548550838358,22.89312987360411,28.266508835732512,30.256350317956503,28.703583940751255,28.12786721596558,23.642795880082286,23.445365801448407,24.374140252889916,20.620122173973265,23.437259733117234,21.83987312174233,22.48404927956535,24.656253997369213,20.867310623261346,24.216196512821078,21.92566999219217,25.983728819747835,20.308758909652646,19.624821652608496,15.528329455772322,15.432917345272909,15.181366611041321,17.920849210133802,16.779703757411067,19.7265354841255,22.926416431249073,22.10321988631179,24.46349336860773,27.301964865499667,25.184246533619703,27.93723224506638,28.340432361167885,29.964949501570622,32.043270980868854,35.43485722210984,39.159847435258165,42.73040511483994,42.6783898833859,40.262658648924344,36.87362253018387,35.27711356080352,34.15816620889318,30.74348616280469,26.186071932833933,28.619274198545444,22.881491855649003,26.10817147952136,21.838531445123508,16.554254625936792,17.408210933037697,14.87234066524155,12.860685704164839,12.2789490798188,15.22044436185501,17.250690699114777,22.016827116486084,25.726842185744044,29.249833026825673,32.619774004999925,33.85979494757123,37.54055818025877,33.77920781073238,33.90570527664497,28.636223076590124,28.39179996306921,27.91964615310827,27.503591603525027,24.99562425662568,27.985293703521094,28.699268042453188,29.610946937243625,24.74552397043681,25.590903064976928,23.702638992610165,23.213845585484833,20.889167386778563,19.887681226502625,21.05353617846081,21.41017438629041,19.221751724347953,22.71848308903306,22.723049024242798,25.176443142715442,28.35997628931521,30.40954218182687,27.08859001728354,26.542846444820203,31.055810024636777,30.439178506433553,25.91364871846032,29.870305135436194,34.67898919389022,31.287796254414875,31.190741968272167,35.07647341383107,35.491932917239055,32.69914826799721,34.70564389947258,31.64849416601174,36.97753345482385,31.413853690547707,32.01742625999545,36.136502690656016,37.42075783955159,42.23964592630433,41.11717294807428,42.33079052565944,39.78278453388898,40.87360980333603,38.26799751656827,39.574463202901725,38.36758025584445,32.96428837586256,34.324896155592775,35.301125386578136,31.419521748466394,29.0512536422937,29.430723182326993,28.394236801897684,25.964035788628507,23.08658591039023,25.09531307603303,28.111968506196437,31.5228075536108,34.0182529791258,36.95862361507444,41.40789613832856,39.24174552148444,34.96742235559545,39.20405360982868,41.18945337306767,36.73313596691677,36.06276334832327,40.44503775306802,40.24964823667184,36.98345948407945,40.528453322417135,43.06531987846915,40.585448477701824,39.89852226021093,42.78153313636674,39.83134356569317,40.758342176779685,38.24066715868994,39.75229467681305,39.75320040360034,34.56354509690277,34.75974750610962,35.808477874132244,33.81323702511051,29.85174566083937,33.26010897007574,33.0012869969333,28.249289526082617,27.062556982141388,30.900112053645245,29.937799536065448,26.48081489984081,24.40256745419369,25.719660309041416,24.10009059628602,28.593053348354932,25.545864523626992,26.2527199043038,26.413616331652776,23.644581013345476,21.47345691756451,20.30275888648641,18.886887746698726,22.347870296363418,20.928450259687594,22.049327398278656,21.48877520213491,25.932441592474014,29.62508978571948,32.860498522623736,34.081984506868096,30.021922958806144,32.17215232134815,35.72940820559662,32.146801205621635,31.58928125946202,35.82039441404846,38.84823497994776,39.04688880132536,40.04384578360194,42.21679416570043],[39.419262209977376,36.167832327372764,32.73640178158139,29.678156594974226,27.486885713800266,33.342927346080394,32.56746981969882,36.52613328992505,37.32907785067143,35.47125294193767,38.81578766704024,41.838013640449,37.32094300261419,36.36288556467812,40.32764260447882,40.06152409047201,35.56886468876812,37.52284970104781,35.55157426893074,36.61624960243685,37.46038256995067,38.40152675086458,38.10761847835664,34.90139700490268,33.47874816161845,32.35024062568106,31.49304580371183,31.685133081193673,35.74675640007768,38.35240324227539,43.37705475469734,43.656293210253736,48.111590092747726,49.277619772752814,45.37308924957217,41.61618361237434,41.046417811595674,36.80732671833582,33.830883790528794,36.512981766795235,31.599908587934,34.780167024883255,37.40644042874065,34.076653102174184,32.45807673205271,28.98075632237209,31.806325558232448,34.46462148957904,30.529905288861865,30.980548375965167,36.004713883215985,37.04638945510059,40.32544568557115,36.53121866819267,41.08916514154158,43.7038816424439,40.35183762663237,40.917717070963974,45.59687761957516,44.63571135151538,42.84952566765036,46.97188475585338,47.93159972499782,47.74567087114434,43.7593776694547,42.50489192911197,41.505293969872234,41.47282414343252,39.43742606336147,40.87401690822635,39.48389976049022,42.40599709093063,44.296226730328996,44.44341076534338,45.147328763387506,50.20007833657301,46.85354664431458,50.97423912528984,48.151684415064835,46.54622273293503,45.62509340786852,42.51338326845505,42.90153141339104,40.224890908582054,36.22987289827075,38.428916954932504,39.87667764911429,43.86826177804216,43.222992511802346,49.0920486438795,47.60261267554195,51.39917485184764,49.95010637399392,49.74074257471459,46.02593775059338,48.36667222531205,44.906747686506385,46.485959906506906,45.12130193608927,48.3975953005733,45.61235497864715,44.724122970391505,42.68969062977155,40.61813801525673,38.587994637972294,35.641093721338905,37.405052869193895,34.02807915969259,32.62627219066394,35.34530023234632,32.91815628174084,31.414342194006895,32.051386930504826,28.620986987034808,30.715172312245468,27.36803133122172,29.25480828781552,25.90727066205375,30.686220315253372,33.3630022228275,31.76148632171692,31.676328411637996,27.165325251207364,27.575830334427337,29.00310794495983,25.65730444193912,28.941173011603105,27.393484867345638,28.18972244644904,30.16749425372562,26.494665509953556,29.62984512046704,27.034013374056503,31.13226861713988,25.50228557408998,24.923037872659116,21.18512541610652,20.579892183822537,19.720989084378072,22.117241330989383,19.687478794322793,22.053977866685745,25.682433212250594,25.586183104321528,27.944320964994567,31.210790237012144,29.359541051668888,32.51583269736209,33.320913678815394,35.02657494588278,37.41861847111657,40.66396875724916,44.559126834513144,48.01506685703418,47.79618217671278,45.42450595277115,41.88685764110687,40.51442829604725,39.05189390484886,35.946812792676795,31.123173856969178,32.996409185729235,27.082984913166143,30.04954147064601,25.664852928818963,20.2023768964433,21.420289241247048,18.19096882143423,17.21567831133861,16.916564765584777,20.10029687424628,21.955178697544266,26.541098806149897,30.32631315493055,33.81070858886803,37.416338790159315,38.497552973494564,42.19462330737803,38.153006536560476,38.49058883914463,33.00756348675238,33.410406503649746,32.58959764246069,31.788779501400796,29.23724082234703,31.54862204972199,32.03668834786992,32.328176375433586,27.06149439011553,28.15345689701426,26.26153141645676,26.575808348680038,24.612627027862672,24.221394099938546,25.64586710508495,26.145814989558712,24.52843152483181,28.068041391526293,28.243048783064715,30.890978263839916,33.95276057588269,36.15644301459619,32.875260715515225,32.1543582541029,36.659349754476864,36.11734273918917,31.388174016980965,35.263590892656424,40.21902205981922,36.688043374260964,36.38240757330778,40.28055014032224,40.767823965454824,37.70151011526417,39.52547914491299,36.45076277953026,41.85592308257012,35.932960643168805,36.949316053425676,41.08716080439508,42.23881433707032,47.025812790741874,45.876228570391504,47.369640429348536,44.89964231957589,46.048955318576134,43.63093680932907,44.65705360119253,43.29399140009595,38.142993356469034,39.46880870562149,40.00530645153572,36.16075615768202,34.04923392339503,34.146726694349766,32.71217399419649,30.611306578624504,28.02114148403501,30.38946146119926,33.546011341203254,36.86800917700597,39.52729801541821,42.53545111110228,47.0269608167293,44.9443952501804,40.67290099807339,44.89938156457186,46.96512644689514,42.5347204007378,41.800950121868134,46.1810413093014,45.982811816461265,42.64269531744192,46.1366410747037,48.67263837097188,46.105653815431566,45.3256522480712,48.20407188485497,45.21564639282327,46.22352834987601,43.808409538974395,45.161899387160865,45.02646388437151,39.94660711680228,40.11469634499937,40.88694823794719,38.88253438433281,35.056385579964164,38.11800178856438,37.57156954790516,33.03853643041343,31.87128841453419,35.21997418599501,34.035250682106636,30.753043573688547,28.905066536736005,29.448242059019456,27.856156085984637,32.651466110748,29.89319652007303,31.15783668614316,31.439679083552672,28.20366326963496,26.285379649091283,24.838683829201,23.89380335114075,27.64851824917478,26.5867048152688,27.821340213872716,27.251319431211712,31.621324801188926,35.40369686976904,38.632966187429645,39.80402940401094,35.66741851479668,37.77842428825869,41.31275906916737,37.58446528651565,36.90529906675246,41.19972152797947,44.23487316630938,44.38482805325404,45.339940250338735,47.535872535591935],[35.887812975594194,32.512188378278005,28.963853599948834,26.967103765250876,24.88820489462276,31.36865951256186,31.458878549322854,35.454678028145075,36.98805911347722,36.093981821743355,39.74354656451895,42.3228534807468,38.410528351229644,37.978589926324105,42.26990137750425,41.89486576886189,37.848372096438446,40.5562142154518,39.552267397188764,40.35691331750579,41.91223733900474,42.90962475342636,43.184088059732076,40.32624036115501,38.28904373202776,36.88313259905678,35.24820677552823,34.833081754976895,38.420087430888294,40.25469590571901,45.87882994008465,45.240892939241114,49.817242644725,51.581918061003336,47.57120495510497,44.257710497097925,42.892505279200165,39.526563804820526,36.59573569754382,39.221545895249825,34.98394267523294,38.66052125411027,41.39583816396381,38.28061140235552,37.350193491562614,33.841473239775844,36.87531551932978,38.975619751627775,34.40762566191353,35.00092913393331,39.87891636971823,40.50231385009815,43.849996267022746,39.74368433907043,43.88138415239855,47.180865040061114,44.311925230627104,44.33653078558379,49.05352055962009,48.81603629561479,47.12809649034148,51.14033771560444,51.83104177399664,52.34872294866491,48.361640000433724,46.54722385967325,45.91000257341251,45.25946514263935,43.54433164207372,44.3754244409559,43.33452078040561,46.52430790117508,48.14331662545479,48.767639124233256,48.791386146995954,54.0801293990845,50.559729187013836,54.33273964649166,51.34406031518076,49.781327547290005,48.12756915257418,44.966072730251305,44.41713672137046,41.62556004644423,38.035307546129054,40.36224699224886,42.63172237074469,46.027002545725644,46.24959643757049,51.813614434971434,50.64621089476472,54.7113626854138,52.892127756369256,52.136028204978686,48.15149113367699,50.453077208704144,46.752106355360205,47.835240568668596,45.89536503140604,48.39095619148427,46.17480433769248,44.27776748127179,42.96393402403283,39.90073348859334,37.785904651366835,34.307567853591586,35.27071990439056,31.471431050321645,29.682163072697893,33.00905767775834,30.680682221475017,30.379372830818728,31.428190480165913,28.82184010515989,31.923917422492114,29.210002008140272,31.937752705041433,29.40174146154658,34.89677386034078,36.69816419067066,34.99638151821162,34.13198894381731,29.5554129448339,28.989933420539966,29.3400320285474,25.55765818948772,27.117601611237543,26.00158409596077,26.038941052217133,28.4772021302551,23.82073040118681,26.780344796027993,25.14288131359992,29.6927940638722,24.45290517479147,24.34768782645448,19.508233024388314,20.752109902597923,21.08294853995394,24.107906105971114,23.447803885479598,26.416460754111778,29.604768627247328,28.592383375670575,30.878076224462294,33.534409715790886,31.270903291814946,33.63847270039616,33.568997744613895,34.888288720808376,36.389603147695404,39.7902443522142,43.240676336201105,46.63379660881277,47.14361068338868,44.90842615854112,41.82493784808468,39.96421672726734,39.42859464339584,35.57491240156383,31.441143012980856,34.445086652279144,28.901154411634717,32.04497533839824,27.542909503269094,22.542284711557333,22.468395402084298,19.65466623795531,17.15825768039205,17.663037909345235,20.138374926219218,22.80213234410618,27.356576408062963,30.997632360018805,34.64524473837083,37.75314694818823,39.37411670099681,42.79398058034069,39.195316470916126,38.90771235715598,33.728449865266306,32.99561992679539,32.1412322574347,31.568713478658633,29.59593869809149,33.122333889572495,34.41027438591399,34.93904634577927,30.32458741192785,30.49806688949333,28.059773683664062,27.794128277809456,24.684757541865373,23.3319282171193,23.76401991760612,23.074162744650945,21.13317219375049,23.95250010362879,23.4249755217084,26.765867374789433,28.890219889303808,31.665549670531743,28.734479568445778,26.97320044623778,31.3474862524371,31.448726507962327,26.390163685593297,29.642500942746338,34.9876904546336,31.927316638069097,31.084913451578526,34.796904778387315,35.99142302477607,32.97318011856844,34.045282581623646,30.71752416724351,35.78069258239006,29.235945880747785,30.491718594953298,34.547717642732444,35.307143390236476,40.080126845988865,38.829114023726625,40.68385080402695,38.442625102288524,39.88721500437451,37.982027172783056,38.8255150567338,36.916112694148566,32.114169752461,33.87374017667611,33.91612638775173,29.817820327645403,28.259421699548337,28.71932130134273,26.402362467911033,24.149223355654858,22.818034337593527,24.82981292575859,29.06250712897129,32.02131066512183,34.408057181989534,37.9283416119306,42.222473331778886,40.814410484980705,36.24797655125816,39.97125456118155,42.58666688585451,38.48625520894131,37.07953800832689,41.50894292019377,41.64825643039489,38.02132998874641,40.95953668104119,43.747920824327096,41.48259759689482,40.031781934631425,42.60225297012546,39.40207135921592,40.387475884462,38.25681761143545,39.18336198435567,38.729846046126546,33.98923773859358,34.06749769020332,34.29062708866579,32.30830455973715,28.749236720822754,31.356925946385463,30.392570575718587,26.158314294271822,25.104480653119207,27.966627564361243,26.53336016441392,23.41524043400376,21.998510837289786,21.952016434551943,20.859782134503757,25.755569954325505,23.7667233668342,25.2718995236288,26.50347762754523,23.099817074620365,20.814870217786428,18.577269744362887,17.876858511490894,21.811874559030375,22.138518794386354,23.704725732531955,24.280902242986002,28.03978883122937,32.06415136140893,34.856614251866105,36.88230361811489,32.81545071555778,34.1088386428267,38.05759840690379,35.227377444049324,33.796431763652045,37.592377283170975,41.07074023752749,41.56682893888599,42.83462620945079,44.91660789869937],[34.992434787616816,31.79441252726773,28.71571937802051,26.004621411195775,24.687290303394548,30.753158820548098,30.8564161770273,35.10459083870565,36.08710169042593,35.05252423916973,38.606352343077376,41.52721283848589,37.71424145778009,36.7268709299452,41.19759746014488,41.16769891853977,37.03475861205645,39.71404485828367,38.525377749782095,39.831428120466036,41.264910111572256,42.6582022484196,42.64070933558216,39.701923678871054,37.91769414439816,36.1840285400906,34.867023540005746,34.26315960686494,37.96327799118725,39.988474364117245,45.181484354572916,45.00656193105836,49.51038797337426,51.304283762303065,47.477257029111186,44.030079029608444,43.049811027721326,39.63696112458557,36.88605986761217,40.08444242672401,35.459494977004134,38.67582137843928,41.68194515828209,38.69471339434066,37.583413398830864,34.26571496809574,37.446327648963745,39.63206201010128,35.28998494555837,36.24419964415924,41.14240007017841,41.95759103101047,45.1727960695855,40.85211925216004,45.20470990070297,48.3027500184951,45.08843483020055,45.06806352569499,49.84886250376248,49.470480362331,47.362657842501875,51.203231668014176,51.73932500066354,52.027925163394826,48.12327699099631,46.34212564211528,45.128408665927985,44.472425338287074,42.29414665832795,43.049310665432614,41.73110238237318,44.690157577878466,46.67096218550026,47.47795061223909,47.84502167431258,53.306109027206936,50.14340931127785,54.065055332452964,51.348340391132936,50.07642606226891,48.67372624349997,45.796740975125246,45.40351912685475,42.945263183338064,39.15260839530472,41.06550503222618,42.99614556733715,46.43441188411279,46.18567077747759,51.71689776666777,50.17348081975589,54.009775744444944,52.09641845861408,51.424752552818006,47.34401632533447,49.40958476661864,45.612740294979716,47.23635755405242,45.411302153571775,48.187957686027836,46.218329353736436,44.735662361332686,43.53897959758398,40.80329905843066,39.24984887263502,35.614785139221496,37.02831246873153,33.476391563599634,31.335317831672455,34.33283525019685,31.480825691496165,30.961329999283326,31.354073898720134,28.643176699585137,31.21907889984842,28.32299031221367,31.006762105634945,28.218061257617702,33.57779133980258,35.52238904222437,33.49546538683742,32.71142173573271,27.98999635068193,27.720209010301645,28.32456279551148,25.149680354788305,27.17228388613559,26.550460701556048,27.17513944539277,30.043844326841125,25.785259521352156,29.23159136896163,27.595403637623573,31.828295688117123,26.27882626047293,25.433515592267746,20.67433867530731,21.092168163291536,20.63538037154417,23.90960952942552,22.633073139492218,25.99044864491209,29.0294840031513,28.177327344891438,30.87928508438896,33.425289496479316,31.057241012011545,33.523706518774205,33.760079534260306,34.74560624215901,36.63564601942824,39.61964950537735,43.41079318076923,46.42076924483832,46.87244633882944,44.90835529542402,41.72469052304963,40.284896833176504,39.573217191665464,36.23786539822679,32.14374470392974,34.86663148889574,29.266250814834947,32.78143044009088,28.693040886330536,23.424538893023996,24.203260832642485,21.624636810790197,19.325113949901443,18.923009767536463,21.651734899628526,23.683211361449203,28.59207109157485,32.20497435706666,35.67504239934711,38.84580096417274,39.965783066508656,43.834307208770426,40.3282028483313,40.37364356279385,35.26947383360098,34.516913994775344,34.2559270330055,33.94312183848248,31.62095791364206,34.86731372940821,35.63027700589252,36.537819133494324,31.641933254787226,32.41021536606164,30.33651976702713,29.967801002685647,27.29874928828035,26.02172033042872,26.710851338979065,26.31918979489264,23.893605219196942,26.80237950568614,25.94418570988632,28.853753026339074,31.180099183239875,33.53032170454952,30.26147539601272,28.679983145734404,33.083790317321046,32.606749786208084,27.26873990157891,30.884387903334847,36.12910296177845,32.39433168835678,31.56730105417146,35.40818182485396,36.22016317702533,32.81536365110233,34.13352053631067,31.01266967212428,36.430997162300166,30.215665218553102,31.768535893680404,35.91418650461646,37.235382683955166,41.874706629140455,41.13453178486667,43.08827349220626,41.040121389702705,42.685327896303804,40.70829418017301,41.94990194395125,39.9754127852242,34.942283666731626,36.9688308859912,37.35021523397281,33.08519029314993,31.449272046441482,32.26314128694319,30.042350533114696,27.41346450812388,26.154529534960133,27.603977551560337,31.83677857634824,34.94324706719492,36.98877192945852,40.45187168225478,44.6260494889604,42.99860327106644,38.406244379654616,41.985636715338075,44.38586981640768,40.05921302197689,38.62508686894347,42.86383142462787,42.69643679943289,38.9872967659792,42.2190740492246,44.73598581883542,42.0490366394318,40.87094432017315,43.70708369800964,40.69960784735575,42.07160527591836,40.13018758679106,41.41385381117179,40.641621989785506,35.67170168491466,36.32403240362275,36.55857900248839,34.247722739931554,30.956946480368075,34.06643611860376,32.74747736665091,28.218343727697576,27.78818242411687,30.855825506342995,28.96877012584162,25.597761855735193,23.507218219823134,23.6104285300395,21.668090962407128,26.570744125270476,24.021576217335323,25.922326738075718,26.556119530714557,22.777086816586884,21.079670076270723,19.330013729382564,19.16312222840973,23.43285144259551,23.238053888759737,25.336225773795366,25.106430279778795,28.665366079533648,33.04951082636873,35.89032351876029,37.64259472845414,33.19449659816929,34.509611586714485,38.30956887804953,35.084561205480966,33.48391858542398,37.5143940872383,40.905491875568714,41.315261561591775,42.56166831315634,44.732541597366364],[38.760591699259784,35.64988498946251,32.72694667921072,29.749031770221187,28.568027210203198,34.45149598361522,34.36299752282341,38.62677017968745,39.33946662003099,37.98594476898431,41.418586601130464,44.537102946367646,40.518017245927645,39.27018907785786,43.633892751715386,43.674974173295666,39.34586139229417,41.672577118075445,39.97497805202706,41.402411024631185,42.426137689963504,43.71136311029272,43.36521540798314,40.18912046907141,38.79772213836378,37.302743604730985,36.41083699842681,36.15525859790317,40.086890672390346,42.459809199820775,47.39556647389474,47.61832669922331,52.07522171367693,53.59849537693499,49.803436264229106,46.15347228327435,45.50435200388467,41.66551553405131,38.84694708823095,41.89590639315935,37.00995976150655,40.065986582947396,42.91970952932329,39.73384991076498,38.19025237423858,34.7967720744723,37.6950638167249,40.3109258457138,36.319775427212555,36.894837482296495,41.91123752015183,42.90839028614008,46.18440987789644,42.22860738013746,46.74623303318922,49.497666178444724,46.12879170982752,46.50583932953682,51.23524788373603,50.414827238019946,48.42282131028611,52.39648176717514,53.14561186405091,53.029805775737735,49.10738320311219,47.684624954076035,46.329609635364356,46.035282439448984,43.673914869020734,44.745666498214575,43.21174432094858,45.98100120696699,48.1689179076306,48.729319999934084,49.48769623714167,54.81375990039249,51.72134726841185,55.81960038521953,53.15000457757053,51.78408314016293,50.721468337141395,47.775018236598406,47.82115849875927,45.29210918806864,41.361279547098526,43.355069366974334,44.95081814015376,48.69471592678261,48.08847411102505,53.7867590468106,52.116750127725645,55.824393368089495,54.09973687015451,53.68774022571786,49.72384892031745,51.786833100505966,48.078247774520925,49.946884164691475,48.34472334838262,51.403470931230224,49.22707891645499,48.07351960605842,46.598276544396285,44.167083249447074,42.5053124175177,39.08816640782105,40.64073037995132,37.12164385204022,35.179626881104475,38.10134431422214,35.291898893126024,34.451445570737484,34.75617928420948,31.769543276964463,33.97422440605306,30.814721982973005,33.13013595175597,29.934928529620763,34.90067418351191,37.31902693059515,35.306227938207805,34.88885167979343,30.173541845727897,30.342740789637592,31.360238852507074,28.37196688918573,30.90143064324859,30.137847312836083,30.898702522050044,33.54053786327645,29.431092514811397,32.76060526532329,30.78435897802512,35.03621118516152,29.42847559350587,28.64339306303944,24.2005940652009,24.146618437389346,23.30537743675949,26.305048673209214,24.209163922054227,27.178509107125635,30.501600723557804,30.12206718741686,32.80445399386459,35.67888372638637,33.50900931714988,36.30774591543401,36.85848417231894,37.99699716584181,40.16112954587226,43.10002446373404,47.02512293732396,50.03020147679432,50.28348238548099,48.289104631061974,44.95677806678177,43.662645471679724,42.638047222294006,39.50937929006402,35.134516898275145,37.44246904597223,31.66648772102064,35.00823628056946,30.809381059129475,25.370586574897104,26.42755715865461,23.424072982160077,21.76569569504287,21.450346013073627,24.43280581642106,26.36041937437293,31.200043874862413,34.90789393385903,38.376498791356674,41.75669433749778,42.77137891709117,46.66045611372003,42.91543206127377,43.12922135152643,37.8332435715914,37.585106858471946,37.08077359067083,36.50695683876251,34.09780640728001,36.87467959148549,37.46566331561838,37.99434080121256,32.82458080623913,33.786689705330744,31.74470786267618,31.857540652396665,29.4711003624807,28.618883992662116,29.574609908231288,29.420120651529242,27.386193961120135,30.464453667819893,29.882011280589733,32.831369864259834,35.24603341642671,37.637620883910984,34.369862674018535,32.869344826538715,37.28138045221875,36.81138763850962,31.483486260645368,35.09969561291682,40.35225434562394,36.560105499254405,35.71358368783829,39.55367521378952,40.33193823577289,36.8292662548285,38.126093105104104,35.038804057796725,40.470713159383145,34.15359930618688,35.85780071061576,39.986743993013825,41.213837398385294,45.82624883947951,45.03036117254822,47.07816960563725,45.02404529466087,46.62930773212912,44.68860169555076,45.74989276226993,43.781079946365,38.874126476015455,40.77127345525294,40.941339804364844,36.7699193553122,35.195046948088134,35.741457252220464,33.43984057596384,31.08525407073669,29.73613850508147,31.531336312245767,35.64187806075105,38.75176948213156,40.981266310412906,44.40743386011435,48.65661067032275,46.99191821138156,42.445677140840374,46.1261337092318,48.50932826682132,44.16665209512135,42.814729648853515,47.067017370260984,46.88009618793403,43.18996514679104,46.44368126557597,48.94786885186991,46.21591964488007,45.06343889174561,47.90608808301739,44.89631964424387,46.26809700912165,44.3196369585267,45.535084928600696,44.77565837566945,39.85960654099662,40.43308960056625,40.5976929896941,38.331759249348124,35.050745339543994,37.95707259991536,36.59230324656531,32.21785953029717,31.68871579839255,34.506718650349974,32.604329717533865,29.387461401576424,27.4873552837212,27.202567203283664,25.353144379895188,30.32964434426901,27.94339071601863,30.039002153798815,30.643993544106156,26.736975788125697,25.192325592434216,23.40453205102377,23.34814668352799,27.626114080119248,27.413184116498442,29.404824787038986,29.066802579217537,32.75245199574123,37.08995593217273,40.0045682243033,41.620797617170936,37.15995280007508,38.60050803259034,42.332444138921076,38.920369449871835,37.410611978857986,41.52716775450056,44.85082426106371,45.18634168309911,46.35976492658936,48.54134973422656],[40.609541915250105,37.65774057398029,35.162887324792706,32.35008625908968,31.865425338151926,37.66578210973564,38.01504675707844,42.40720937836133,43.048236019554196,41.98523526947458,45.422157868098836,48.59308669211553,44.86888466774014,43.43551331955908,47.975796239633155,48.196424020327534,43.952047160913445,46.39963721492028,44.74751644297322,46.36402177747797,47.376822871522656,48.77692547726072,48.32737661616065,45.10915680726757,43.840988509576526,42.25948270089263,41.44429196684229,41.055388145593184,44.94151412718669,47.235114857364024,52.070553263664024,52.314595111669405,56.75102738291938,58.418816903573294,54.690973898420445,51.076237856464296,50.42694306224517,46.72663279802526,43.965947629222995,47.09318237118726,42.208933255907496,45.199926956462676,48.09312738529239,44.911528403277664,43.2922887406681,39.89554282238851,42.70163140324813,45.43205648016264,41.503062600563645,41.948475225146446,46.987828324024576,47.993125530839826,51.30992896302044,47.42778761702694,51.94256564971816,54.688636133108346,51.310016672751345,51.71755971192453,56.450567038509526,55.581210555203995,53.57161828518988,57.52071433604313,58.229339549389806,58.05231427917903,54.159467082010316,52.75167524291168,51.210264050890146,50.87180639554639,48.31700913374711,49.25657260791243,47.6032490600439,50.219708310450095,52.61744466459217,53.34201409681119,54.21593050648995,59.63543651254378,56.69054888598125,60.80303186678374,58.213416011589395,56.93053530867914,55.85194261417982,52.946289695135945,52.896437943188424,50.3895878884557,46.495682210508946,48.44804913528327,50.075442423035014,53.74619769347251,53.1205182581864,58.7546770740848,56.983003385134104,60.611649083490754,58.782542903588855,58.30778547479307,54.24155250559912,56.13788973973446,52.31707195517381,54.37650059937407,52.67195831960606,55.60743517886483,53.764455676635805,52.473103693323,51.28076216208412,48.66291590006498,47.1334920885412,43.51803819378896,44.88525068655444,41.275076077600005,39.103988136093655,42.15809418315282,39.21509315998904,38.77076303916723,38.920499670388864,36.19432070359118,38.41097966435449,35.353192505023884,37.80669762046333,34.64868723467718,39.575914062767424,41.94516189942843,39.73579733883883,39.21094488233039,34.446537227547594,34.54693932422268,35.36378076901876,32.62236004900533,34.68967061130796,34.349249965414224,35.03075437620524,37.942531059921855,33.5881079365056,36.88383250043992,35.22720713462365,39.587953109722676,34.0813304642,33.30845853892436,28.586406408455176,28.844759696241972,28.031113283268805,31.21718549308761,29.176881016114542,32.26187771122095,35.51289733587155,35.09651431563333,37.88716335472169,40.627470622602736,38.351532419592594,40.99136762528603,41.42407569799214,42.27261062415736,44.28687328881759,47.035342792431564,50.93967584915467,53.65556388274098,54.19491970413128,52.43261944314202,49.23376277874118,47.98368220702778,47.192213847363234,44.052236636709715,39.91016857964347,42.390011045434356,36.68364834710073,40.124620375971524,35.956321807777314,30.545898432327537,31.466944475312104,28.43782807750192,26.61434670184659,26.4490779080663,29.320300632356922,31.32741768236879,36.201914135498626,39.87391742881805,43.341426438667696,46.61726333100607,47.62946348303229,51.560430771088576,47.93423410875695,48.06872467129742,42.838061383008124,42.34424827322402,41.87186755690627,41.31604132481886,39.03636377848624,41.97282121535543,42.65201691258617,43.12571721161109,37.9886846836362,38.83133255040694,36.66377618019178,36.845090080320915,34.24670077065287,33.25895730476011,33.96334576980409,33.42610181371911,31.36197388394173,34.10996419482517,33.148784716632434,36.33362537523037,38.23248600554904,40.80985796109896,37.656299330647215,35.60073761833854,39.85922832953772,39.55088828934204,33.9097329706818,37.18751600479016,42.6101334114947,38.764410351113575,37.487246683892856,41.194035481195506,42.254424559693334,38.481487648636445,39.265453741218764,36.197419873982334,41.499656198607454,34.86481089718506,37.12253651728511,41.14978435770402,42.28615947567112,46.70046684105643,46.102361934979555,48.60215144576196,46.874037845281535,48.77472918898818,47.25812282289144,48.19942462063971,45.79082713372932,41.235329657112125,43.45309948169795,43.20176873148553,38.90875348520656,37.8139993749634,38.534807652396445,35.57546910085691,33.24506294201123,32.8162760361365,34.35414785305911,39.04326804385604,41.930176168658,43.92992754096051,47.626518196469135,51.69900470189714,50.39037554487835,45.7029142407272,48.9899514549129,51.627759903928,47.423128977767746,45.64735078059344,49.792647721660636,49.66299214482046,45.76001924905722,48.74462042675401,51.24252818796071,48.465688594925304,46.986422237958934,49.72312738391238,46.69491660813168,48.27662701119809,46.68772433365557,47.692716536539265,46.499786879680215,41.84405938091579,42.605557470943914,42.252130830751,39.882884822968975,37.06262198995979,39.630567364943694,37.66174520893034,33.62391194508482,33.49120767211211,35.680357498938854,33.2898500392571,30.31743883634793,28.610821150276557,27.447576399473604,25.609401298152775,30.616844654882172,28.785208143045676,31.5297462043441,32.47483479668841,28.142111686073232,26.91464070382735,24.82177977305496,25.447388308043738,29.936543419302815,30.445227875688932,32.81986739705589,32.74087045295964,35.93172855112968,40.536157287952754,43.201577145583016,45.138581184906215,40.53425418522958,41.49533900447507,45.34244155215093,42.209652973033954,40.15108670385307,44.07369414036776,47.586879494709585,48.08174649761484,49.41271421362635,51.55811587404626],[45.18753943219858,42.200219025483165,39.56481278285818,36.91396312918805,36.13579971278392,42.075703333052324,42.28832425687989,46.592265753139365,47.33830691501648,46.11698036965976,49.53406254945292,52.68261578323362,48.733113989677456,47.4012417684641,51.777055608767924,51.8624737927469,47.50620182639478,49.69640220914471,47.737949389559525,49.16806944386618,49.90723422924056,50.97621770919998,50.41810222901307,47.05261893809465,45.97760539796188,44.79312492711538,44.14734220975912,44.14035924549543,48.15210918737756,50.6168812047559,55.499276637007306,55.79786434750047,60.247759853191454,61.67618169328326,57.86756550794293,54.162238776236734,53.56156571962414,49.54240468337037,46.62584355370648,49.29905376348147,44.42828604514863,47.54362209505493,50.13713424405864,46.71974323048751,44.83829364052947,41.2844678718268,43.73213236831534,46.774073649528034,43.04254380772298,42.934922088563546,48.03862208178849,49.08465969740106,52.5100055812348,49.11592472946719,53.596316184738434,56.14071953185532,52.86417255599736,53.65029480298205,58.27258222677798,57.09777349243709,55.46425846653807,59.61985429193611,60.61690010231965,60.21389642052432,56.2701887407132,55.162857407715386,53.84520992762125,53.81817212019375,51.375713175683885,52.622030566165776,50.948533181838904,53.54585467143297,55.90382666271252,56.312492283186785,57.319342723229,62.52494813151104,59.426712532191075,63.59955511273451,60.892124779706464,59.35298101754967,58.421653169514705,55.29743249536097,55.529123639558435,52.76742990869014,48.886606897825956,51.13748692585259,52.68321610150935,56.58123700599824,55.93047153497755,61.7204088536179,60.06255660193341,63.71771339041776,62.10221674654711,61.79234535609916,57.86994285842995,59.90073271559299,56.19782947684164,58.149048265266316,56.54850054020286,59.55347519060839,57.40676454653847,56.13178203922576,54.660851935419466,52.08850012665969,50.164964341776965,46.80024260400465,48.02127340676981,44.29826868106656,42.45571043865677,45.64293031520021,42.9837104852119,42.42295541016572,42.852981200437206,39.970737905297625,42.21064144301735,39.0392328649226,41.25653490291517,37.922192049131056,42.631142208477705,45.29293744243556,43.27093325517835,42.97713380807396,38.2705721790388,38.524808687185065,39.50461724071409,36.56236865997184,38.75566470920253,38.07332314938947,38.55424989218316,41.08869799506459,36.641548011056955,39.58836343390576,37.695418852165425,42.214787795722124,36.849595655244,36.48596043381933,31.929660678985066,32.25236950349388,31.545724967359845,34.44957833579621,32.13767991078874,34.75848121500442,38.27499270481766,38.13229962659139,40.68112124331684,43.7409591003734,41.665812148808016,44.5111448258649,45.01442880833629,46.15482769972583,48.17004864248443,51.12460068139389,54.95751116920013,57.88521423536353,58.31390384237247,56.37785182554122,53.11196854555157,51.73492294322916,50.8052830624353,47.53001391006197,43.13875827988012,45.465610347611,39.651592595324665,42.753899062430285,38.28000101994071,32.91268994345747,33.60610138660048,30.1667568495365,28.75818291045726,29.066575397595145,31.988505585931566,34.22040045955938,38.860184701701606,42.61730384645603,46.18177970887229,49.58821026270043,50.79538616319707,54.5016452108799,50.6217547819048,50.70212008482018,45.282827062896956,45.19809837354309,44.205843842685496,43.29176990239044,41.15819363139171,43.850126704865836,44.684831536541445,44.619697184004906,39.421834728032266,40.103063048123914,37.759433302638854,38.40521695358269,35.83911783315103,35.16524031837868,35.926591561073266,35.40957621865166,33.922353465088015,36.70634080836482,36.10677381000969,39.54232699235786,41.36526757058729,44.208008346257245,41.23982284057829,39.12363114495253,43.36033848328631,43.37878326222422,37.86255096396296,40.94166907814134,46.436845826837015,42.9096375950871,41.58708919651054,45.21829538574162,46.48581089279427,42.83291577971843,43.4389888187433,40.27695868875085,45.38065580390008,38.46324644835151,40.70587699587019,44.65086203129474,45.36758090896832,49.758876429342344,48.85320432201777,51.424726705618994,49.61142684413286,51.38476406076299,49.99396006579911,50.527358679705934,48.12806895308368,43.89057200714897,45.86041844902275,45.18060596654879,41.099597439302286,40.168495267458475,40.47640757676802,37.36291067745864,35.51373568142185,35.075118478106276,37.13589282463615,41.73573572120618,44.50062592170006,46.81063401652287,50.51611385035524,54.69337710277279,53.51328884366909,48.87790714214592,52.29304421073782,55.05552912809871,50.98179396975131,49.261913201210625,53.521611453933275,53.55729539986929,49.69541458624546,52.51239295875734,55.15856539295708,52.58466437086756,50.94180756035567,53.520834152304495,50.376642345941725,51.74821981887077,50.0762449381113,50.79539701403148,49.76486354086192,45.32006572798975,45.70434509592226,45.24125690735744,43.100573847119215,40.192000429962995,42.259952162047,40.41163527740686,36.73216935008984,36.21582133085793,37.99241453516406,35.81680526919938,33.17436434967951,32.01073451324709,30.421737926496693,29.142820453259855,34.166044113450674,32.79453194096104,35.49225159460576,36.74532382955495,32.4950632171527,31.061003442698464,28.69358898059201,29.155799736636446,33.487294739219685,34.25892705912131,36.3208181815175,36.56249164708157,39.95633158552123,44.37357518358129,47.05818735697032,49.04663081739007,44.650726115955855,45.664515649059716,49.55281124119489,46.5011402918848,44.56492949145396,48.405189424983455,51.92218034136846,52.3441841504319,53.59963024283186,55.728666175954885],[44.41012571512254,41.61445191083995,39.430871925765885,36.74173004919091,36.661828041371976,42.37355408790094,42.94019365427696,47.382861128412806,47.95375686046214,46.99723877558019,50.401528803231855,53.62912411377878,50.02157193512758,48.44969104083342,53.03944311923062,53.36031061045849,49.12208144027539,51.526564423275616,49.753011145689996,51.47074534778615,52.34462386725274,53.72745857969485,53.13067253151994,49.818884772925955,48.740639905549486,47.23293772671991,46.57524888319958,46.24271095718892,50.162210245486804,52.49895758617446,57.2302616518995,57.56880021481136,61.983215163404964,63.647157769963016,59.954333745540225,56.31026238059767,55.729009312930046,51.977488034408246,49.20969669173033,52.26580165522218,47.34104394106855,50.288240833683915,53.11459157859043,49.85255368004184,48.05724025218249,44.619910995040875,47.239122492832564,50.176147602521326,46.39245122901597,46.58015673341071,51.66445830683648,52.7008457767442,56.0813459707536,52.416777362643536,56.942063370997566,59.57499839848668,56.19336415530739,56.77038569216929,61.46435200254281,60.422315700369644,58.50455479713099,62.499659525790406,63.28488238353411,62.94266840340837,59.060509587839924,57.79556250557156,56.15552480456557,55.92007391947128,53.232149443728595,54.205896042896875,52.43517584956535,54.9046105460747,57.46314408849539,58.183894511821016,59.235147190091205,64.64096696602417,61.77768500522694,65.94346545719809,63.39251552379506,62.09167374663526,61.096478385706334,58.16219055418517,58.183774430657415,55.62493178661622,51.734799543368524,53.736605902928915,55.31023295805746,59.03576194900681,58.32747248155712,63.978596069807736,62.141420791742874,65.69633340153464,63.8786665422961,63.44489004548928,59.366099898234424,61.17568684469909,57.328570111412176,59.53138839842102,57.82174260718183,60.73572096004484,59.01673829461808,57.69506009942812,56.583641641914234,53.90568526387303,52.36097225793994,48.709982201215844,49.94937859036105,46.26247919510011,44.053913672273936,47.206948142614166,44.24710531973402,43.97511602678096,44.07502497516861,41.439533569958286,43.608313169349024,40.55247700130463,42.97684327613115,39.74472676858489,44.52458093427008,46.998993638743876,44.71505096876519,44.23537529723778,39.470530194041004,39.630496674356394,40.419428751355206,37.824010955661436,39.704233727991245,39.528570521972604,40.135146429216846,43.09176866133196,38.597985274254455,41.773768369221564,40.212253230881736,44.67290356212483,39.250023417448084,38.57960817402297,33.783322947631966,34.16306605001498,33.33363498311494,36.528483120019764,34.34649436358373,37.34658974747224,40.63838790148688,40.33268241295114,43.129825490737346,45.910359202639555,43.64456998876547,46.282187220162676,46.70601532067879,47.45771187326923,49.41703908560703,52.074472835629,55.96451123946017,58.521528304810325,59.198180253113186,57.552500454471236,54.40610139515557,53.183535564222865,52.463534712642065,49.323082578105314,45.22569454184499,47.71610399682364,42.000971544062324,45.40231264682312,41.16704029437281,35.757266045555696,36.59290181960357,33.405050918510135,31.66711532152863,31.691915900364776,34.549731511837216,36.635103906468096,41.47350107197007,45.15863577046799,48.648328390076315,51.92302779521293,52.957288760365984,56.87621201563996,53.22600197789763,53.32668243248936,48.061889512846626,47.584262847129814,46.98049795656494,46.31629494109904,44.13565082081159,47.04419271284223,47.783502726753774,48.04682724424152,42.868138841481375,43.64409648967092,41.36988813555679,41.75937985785715,39.092087135279016,38.155866519464794,38.76072806289248,38.03682241395571,36.145385200001726,38.71246811934363,37.64332596691829,41.0178694032481,42.57303190917277,45.32094185089689,42.29766454882515,39.89798514059764,44.020198028194606,43.89252949280182,38.12160122286085,41.09907131265494,46.606536529221664,42.81534014486299,41.244458512084364,44.800489418204634,46.08761491178526,42.173987274467926,42.54343271037956,39.516411861184416,44.61750752965428,37.763772813738065,40.406608404530374,44.291428600719286,45.2413727610035,49.458815724807565,48.927398672772824,51.770474039228446,50.27383795346054,52.33625416305858,51.16169338139759,51.8929351573993,49.19585206732304,45.01076624528108,47.35638259750443,46.68813364449206,42.409475461346595,41.69540472012959,42.3925680566041,38.97352961211485,36.83891895068508,36.98994222537758,38.520357727832526,43.512220589549855,46.211826514016174,48.14647096240562,52.004049163227485,55.972852705017075,54.93391947405845,50.189051485516785,53.23799869769153,56.06065825614263,51.99393143836789,49.967516628229106,54.045847489922465,53.98853207674917,49.97143466545702,52.71781700522408,55.225574738662544,52.47035990797862,50.73830136037389,53.347706237576965,50.301876426269864,51.97710629798764,50.6320332289677,51.410132505375756,49.954299476905234,45.57574584784601,46.36603997596139,45.61630288206141,43.25598227807156,40.76811440045739,42.93128185024249,40.576445853436546,36.93903919497953,36.979400254622846,38.570620092028435,35.91499542381133,33.269991354091474,31.8800922707921,29.9788216020524,28.33549959600171,33.25215085262681,31.98232770472988,35.13727043788594,36.358659419699194,31.814756884337015,30.79696182644867,28.49326445724181,29.512595949721916,34.0279755700041,35.034145409403266,37.54481509526152,37.675548735778754,40.61028271587128,45.31507344258452,47.81621145447852,49.93212693390814,45.32111508266883,45.9846287227294,49.8758859628949,46.93817297923731,44.56380744091388,48.3074043774026,51.90957443883859,52.43450097958401,53.80792431316118,55.905095447202584],[43.549007950504226,40.99402602492852,39.276531491115364,36.02899752070176,36.57385556074723,41.73906448359774,42.27991405754331,46.82787437376877,46.87889466624974,45.81080864167516,49.03755469509111,52.51872269664471,49.07995720514451,47.02811227260699,51.68306612310568,52.32698746907149,48.10574177757833,50.44625305812538,48.5644796487411,50.72488121054624,51.50002665752855,53.26189329415076,52.4234761930789,49.11775586585454,48.268045975783934,46.44994223240877,46.07390394329034,45.548399783021125,49.468195537049944,51.91796691407708,56.166488074727596,56.92670218695512,61.21121409525067,62.89730738444233,59.428855733534895,55.7222277377586,55.493235319468894,51.78756856975938,49.239466839262604,52.79870495374953,47.61661806509677,50.10198764077718,53.16244024582554,50.100074259744744,48.22227516380443,45.03916587592644,47.806815944395595,50.71255330338059,47.13385852594128,47.73496589765868,52.76439103581262,53.93569400559417,57.15063151500733,53.24098206739543,57.91058271242976,60.382318355331165,56.71294563957122,57.1771430588753,61.89740488286645,60.79425157060204,58.45615440548159,62.21328177037014,62.80575733238408,62.28505197946648,58.538680253812956,57.28109965579036,55.104151876723336,54.83549981344906,51.7476017984355,52.60545070242659,50.60322136633531,52.786782528247095,55.66123922520029,56.5734688473193,57.927717485684916,63.439352326925345,60.97257122025436,65.21945892838497,62.965580925347105,61.97869197089228,61.2026927208863,58.58122384386897,58.70143448349414,56.48866544108145,52.463072754725914,54.05073687121103,55.31779730661896,59.008465828633355,57.88715857257185,63.42056944470827,61.24309877132493,64.53037968791045,62.62835896203984,62.269829864184004,58.1513844926629,59.6992504152403,55.819296233223504,58.506954140068984,56.930675514767806,60.069343401394974,58.60507545412212,57.68547932120496,56.69728385517624,54.34659082329201,53.32595560411739,49.568301735173,51.2035830664248,47.76330263866322,45.286733626804065,48.11356789618348,44.757015447024095,44.286586650676256,43.83070259293673,41.17433446193591,42.8279643925862,39.717306262473954,42.03125259010406,38.69791919305937,43.19857359157462,45.71636697087241,43.18301811902065,42.78597077364118,38.06304226544922,38.48374588384854,39.46837278416652,37.486814659618204,39.699907180130374,39.911972488177575,40.97965687484543,44.2342741192836,40.118884730365814,43.68255723419347,42.120526718938656,46.28912767474067,40.64910228142837,39.40320248883083,34.770851525164815,34.546037487673864,33.16809332637959,36.43287381897098,33.8737006951727,37.102471417752284,40.12924591915154,39.94345692639066,43.02920662811902,45.62092942337056,43.30726020030656,45.95384315849148,46.62779178934046,47.07214290484227,49.341928019845,51.58052673110767,55.72647513373577,57.89681233170103,58.498027535221354,57.12348118112658,53.92842049797371,53.109206305090986,52.2400919177086,49.60895830485597,45.618642172620895,47.84119550284438,42.206645980309204,45.87224038623792,42.07602761096337,36.57609935296761,38.034409076199736,35.137556338174385,33.470063057647906,32.8425052502913,35.79769435294796,37.369093413613754,42.39956076823253,45.99942357370008,49.28870000075563,52.56805608889771,53.14117341597737,57.428651245548956,53.91672977147186,54.30890488796294,49.17469911101636,48.6475337505653,48.589221564772615,48.18985236716458,45.71621845316258,48.41607434498086,48.69642938693194,49.36833641188992,44.03536611308076,45.30461831346165,43.374211139695774,43.572602274031325,41.25172899955188,40.31739048220078,41.11968816624163,40.653002774199706,38.32741958266846,41.00884104118987,39.721689109882945,42.68792798725075,44.49099827336377,46.81873669222392,43.51590233968812,41.38152082714454,45.5154465925961,44.84962655773718,38.98551953669744,42.2792759310252,47.58938211843673,43.24842674219026,41.78759052930636,45.416739615241504,46.27201183590813,42.11076967288027,42.78053077275684,40.02263136535694,45.3846332223914,39.0449231403812,41.79567514085481,45.73326182391884,47.24501206532068,51.361393323525434,51.28805500676685,54.093885199033394,52.71436650908149,54.8998831046043,53.55486343123832,54.71371710614083,52.05805600980592,47.55059082679358,50.08293898818225,49.862452614930795,45.43077081489339,44.50802854187328,45.51499409658462,42.35119481993414,39.826962026787236,39.803097532684085,40.90149969608845,45.78596671023284,48.66513863693637,50.322719940393796,54.07466664154061,57.950759759715694,56.64653483942673,51.91423166828992,54.87990520082495,57.44290728993455,53.16738743866351,51.194094547934036,55.076135657259854,54.71812691981495,50.69866339487517,53.738783047173065,55.96004812825893,52.83175677637668,51.43892774940479,54.29922114590688,51.47639937086286,53.47149310746707,52.24553036859848,53.408785566880795,51.7463449600626,47.124609062465076,48.4076332915829,47.79757927365696,45.164687340367536,42.8305078986649,45.54429866976465,43.03564703826155,39.05487945341975,39.54388857803803,41.52104287320487,38.61288646145122,35.682127995526756,33.669142671874944,32.187235301241316,29.830846338369028,34.581526197901255,32.72989150073393,36.02650463274877,36.63493898850074,31.981073500125348,31.470108383449787,29.69786858628109,30.96445081730206,35.60176933472086,36.06044625301493,38.88980043878724,38.35685519551514,41.11072077288996,46.008255058237246,48.5444852230444,50.35212345657708,45.48946897929289,46.206830960880254,49.88068505477662,46.61103200820295,44.18121006801644,48.079704202530195,51.51529921236426,51.94639591159958,53.26421326809967,55.41702611787332],[40.29546364518657,37.90924153899209,36.56644439245367,33.28146528062672,34.396264393426044,39.25750223178573,40.083845110315316,44.68567068010325,44.615330321536575,43.83362026465747,47.03967127358061,50.5126809031914,47.43837739155748,45.266157070388275,50.08391480973687,50.902583438329984,46.87758283503572,49.48143944855851,47.94428172930082,50.29090171267455,51.32500130981812,53.38905528887507,52.656447365121785,49.51449697569839,48.503017372140214,46.328497211532564,45.800129495489784,44.888434130107726,48.620016778339625,50.8407424328428,54.9905818123224,55.67110286555735,59.90476729513699,61.854965689976034,58.50471310409261,54.93769030319007,54.642139868276715,51.322661172854026,48.9539213689848,52.887719974101074,47.76546778997092,50.12599708990852,53.427721270724994,50.601559820050134,48.976458133053804,45.94853687029931,48.98559405999857,51.6019405481389,47.86738291686022,48.89977433498994,53.84831188466712,54.96401135592582,58.070277761967354,53.78891708705016,58.405453937296244,61.05888706470154,57.36294422709384,57.48383296254176,62.25811562102694,61.449356411109584,58.81216380243899,62.350129821233,62.672703328586884,62.36423140875626,58.6987428228575,57.16929473565737,54.78233583129655,54.20269831334248,50.99717612885005,51.507148322977166,49.51991566406046,51.667309179643674,54.59950996697983,55.85665372651429,57.08755337377406,62.79164634964176,60.50847870408157,64.66092289646967,62.54318401566421,61.80852605414251,60.88013937192552,58.4814767795086,58.300931124750875,56.32387579107115,52.348371376726575,53.655226997143544,55.0203934680749,58.439323841013156,57.374545254262955,62.69517827146288,60.41504385505456,63.64324822896267,61.51610775639338,60.97079603192293,56.714040153096036,58.06898978861762,54.07293998232301,56.88263839151128,55.176750548015455,58.164932990679844,57.11253701400948,56.11877477354483,55.50057776928902,53.05454064358368,52.436769750403016,48.43885315887467,50.10998682952013,46.782346565119816,43.98119637103537,46.69473329270235,43.081895008224095,42.86616847414021,42.11478228732339,39.752700707175016,41.371118668847174,38.4664092784698,41.013747312532594,37.931532619379844,42.56919765734281,44.741073236396375,42.00765156995818,41.34757388188394,36.639686780616536,36.867855723050695,37.59462026001441,35.94359306185201,37.8109265218902,38.487480454680664,39.67766738642303,43.28613198154194,39.25207271423021,43.02896757374449,41.80265705286723,45.801971905075405,40.17773685465321,38.61338623394621,33.860508574962836,33.69071444686301,32.27063908896279,35.77127579316927,33.561080540074336,37.19967611609364,39.89028702089887,39.433271954744825,42.70179592503145,44.92552642913477,42.425992896417455,44.78173481593085,45.32734835382885,45.39415837335533,47.56742748791044,49.522497291031044,53.67291944845895,55.51546817003942,56.32788950809799,55.21419416772937,52.1686617974471,51.48046412034851,50.843505001685884,48.352208887100716,44.71760857909886,47.12552331378298,41.69952124032754,45.62864145143496,42.14233296547787,36.72684157454654,38.27738933396508,35.76713600591374,33.73845015547463,32.79301760128471,35.59324942119063,36.97236330239388,42.11599972754371,45.57839622167365,48.748153122290894,51.834339335096104,52.24000860837139,56.697265874437704,53.476945738993074,53.87249585945821,48.979087671038485,48.01428724414085,48.405469862932534,48.31801753445521,45.80667659072637,48.753143477456604,48.95268046124673,50.06856886246821,44.840346954563735,46.18827570626789,44.35466893632566,44.17098636114841,41.78683199484842,40.56159657916171,41.218453849443684,40.62401115447169,37.86673224090411,40.35021094667519,38.66379058869828,41.41921916441776,43.07925330891935,45.1844425538075,41.81692452906741,39.59711393359108,43.60660502111895,42.7033844248055,36.742105170256075,40.02642384672063,45.21718814186107,40.62807492953083,39.082278907699,42.65777190993971,43.393461428125754,39.08319987287371,39.72186243570056,37.13464833594032,42.53631829535831,36.50240134629965,39.41384706564976,43.30792395472561,45.158785926253984,49.11035146073047,49.42736450378263,52.295057175467626,51.11486558697001,53.48888770318569,52.19268732951893,53.65460523660369,50.881279525190436,46.289470761288925,49.09754947366036,49.11115499564965,44.53723322877158,43.6499962507647,45.04149249342779,41.87273538838168,39.009850785532144,39.28500640165177,39.82641923932405,44.86971872632821,47.72574394700618,49.00836568525444,52.787878820105504,56.463159580641126,55.1819781832578,50.41922489277668,53.09353057532408,55.595952426684995,51.310568514261384,49.16965754248222,52.853701066371904,52.36695588041996,48.28703482064164,51.34292579340812,53.391457896588015,50.09053241877131,48.753606846596725,51.687877805885485,49.008919859960926,51.25000600642812,50.24628889870856,51.57886927245226,49.64234456417824,44.996246601759566,46.669233084164595,45.992462490016145,43.16366365619911,41.12620467705029,44.114584519618,41.344309672984885,37.25662032475747,38.2149481955217,40.29719989571262,37.09983045026378,34.0473515014337,31.66955900056886,30.33408076777748,27.53143264426506,32.0656668377136,30.02054596189136,33.5110550349758,33.90678466720893,29.157581421803332,29.02451301270974,27.51236016437309,29.139239937823746,33.808444656417926,34.24924250504,37.41927167336964,36.688553631689736,39.01460718401225,44.089693323433515,46.46653348954789,48.2957961057376,43.304454624595444,43.76547141311344,47.366060444544786,44.18358041256605,41.46288918317077,45.26715470693145,48.69656158018785,49.170039205629884,50.54906270272987,52.698212082764464],[40.995915252874184,38.88731661053864,38.038947064603335,34.60616899322473,36.31702511371393,40.72287082599718,41.70792407351138,46.33472546437864,45.96224800772178,45.27973733384672,48.34772358859604,51.92068803373666,49.12223298370376,46.66229826097251,51.535231107913226,52.590272605139226,48.67661783085715,51.297806918785746,49.79211374995544,52.409475081357485,53.42225668217719,55.723558585650714,54.86915264769219,51.769069185456665,50.88333440586201,48.51295480008796,48.11994517146711,47.0362923138121,50.68646623280169,52.880590258464366,56.712828238629776,57.586456253695175,61.709450088164374,63.744999262840544,60.56587948814902,57.027937304465325,56.89123114596552,53.716262074799296,51.50829367898547,55.713674680889596,50.52003415400017,52.619122281740275,56.047241755922045,53.361501165530605,51.72430102850509,48.849699632861174,51.93757607849468,54.51630979026193,50.89382065173799,52.112984573964624,57.00858962560708,58.178707744402544,61.194256804059386,56.80015665781831,61.447888036499755,64.03964628503924,60.225781296177786,60.25918214636866,65.02995618666341,64.22213948492568,61.35935027732414,64.72792356670652,64.90746567665013,64.52704572539831,60.969602628683916,59.41978308870025,56.7081302206504,56.056668517954414,52.607401309748255,52.957287137141265,50.84105366463113,52.76340991870046,55.902494428439915,57.35397548001516,58.74233532486855,64.51966050883604,62.516762758588904,66.67320175199856,64.75581829876492,64.23556866872048,63.38843039783949,61.19061589018406,60.98814836841881,59.21779821941135,55.22060362104811,56.28189709394412,57.52028307841252,60.84086370424641,59.59016405117785,64.76863548418754,62.29064514922558,65.33209315159257,63.10722448804254,62.55256190890328,58.253850463990915,59.37861034673256,55.3465282983378,58.45568880439621,56.776693554538525,59.78440343815848,59.040406870888525,58.19356075490148,57.78310541901173,55.439934510446435,55.164942614586195,51.06182668686471,52.84775018969605,49.649407292989984,46.65054166940607,49.208555553158455,45.38040811599034,45.22761459594344,44.13862194116433,41.923528520792445,43.27182181512535,40.44927104113942,42.978047747615676,39.94568174165932,44.388554659746205,46.48303719312494,43.57734798891105,42.89314486474583,38.280482836724524,38.579670707594104,39.28540861223162,38.08344942894165,39.885404202629054,40.91676150445431,42.289980967503524,46.10359732953533,42.22685191897697,46.14270240405549,45.05095534200137,48.90043953780413,43.264235187536286,41.437753927099074,36.74329277052047,36.40122081413302,34.77231428922634,38.317062965823226,36.03956792774168,39.80625158863138,42.27583755732114,41.832103871161074,45.24178590662368,47.2685550677754,44.720444460693244,46.96438478365915,47.56717268783171,47.344276830996094,49.57824610727646,51.20151899403945,55.42665172393968,56.906391341916894,57.80438093332048,56.95693208296362,53.98396882303821,53.531906346738,52.937938774431395,50.72781771595421,47.295660823973265,49.6326142369195,44.34538854675295,48.41261406664582,45.19142608894772,39.80764506898092,41.5730659577513,39.232923660607845,37.17983873958055,35.99291446256699,38.755237325657085,39.90202248219831,45.09388926110121,48.46242685106863,51.50188693095646,54.511023405365485,54.67760539577954,59.31069061724552,56.24815379804633,56.75039374532856,51.99515321513336,50.892063668125246,51.58319480265,51.65099222239267,49.061349068480105,51.9730080161473,51.987845094922925,53.31343386721853,48.067909716897155,49.59403353802412,47.88723973092776,47.60234642986783,45.31326499505556,44.03397115257127,44.68813268890621,44.09508312020489,41.13619214076478,43.52970655985184,41.6253038421183,44.20167688175988,45.779176815164035,47.689765585198,44.26828630973198,42.02945091180981,45.90954169850005,44.78328113194507,38.78279511100244,42.03534602059916,47.072884070386465,42.23903581050021,40.61893374443749,44.097830272732175,44.68068895149376,40.20916253723582,40.79250723388156,38.447661222994604,43.8152175798204,38.119234759374315,41.236143936985165,45.03077810184548,47.1422904463307,50.87142959876468,51.54582852190711,54.52999707477728,53.558185295388554,56.08908441851552,54.87349085972259,56.51817040226502,53.63357305704531,49.05259494252197,52.046290921668586,52.157747396313624,47.51509435182577,46.69719301197687,48.29984162820057,45.08835534126407,42.07194409589948,42.55934401022381,42.774017801290576,47.88880459610433,50.72470158275957,51.75159069213983,55.532638568069885,59.048513435076174,57.77234344189139,53.012054874227715,55.451625612196636,57.87969536820128,53.5839788131627,51.33117725710905,54.80992075452318,54.180967764859,50.07081299603056,53.13906748717062,54.989176301413266,51.49963214104488,50.244813690801514,53.2370887534793,50.72396925564943,53.2039041730787,52.42746407621105,53.88051222894026,51.68086302370321,47.074192166323336,49.07323987900516,48.290243043631456,45.31694885597172,43.58332038825604,46.70007391137014,43.6713061659771,39.61085916538075,40.93842887387057,42.96813209125069,39.524599391595636,36.48522087489683,33.90795406586034,32.54180514654837,29.455449427689647,33.69635547923602,31.606376436685032,35.30257367788364,35.46109946675197,30.661757201979352,30.955787608529146,29.703826187597443,31.635322053196695,36.28115082108174,36.67016644200557,40.0709478856749,39.10123924704089,41.08972920448727,46.28120722402608,48.537964215683495,50.298994659001295,45.1959286899195,45.47669858899156,48.93775993211277,45.747453861925806,42.81131008626964,46.537881362871694,49.892310608065145,50.361940601106724,51.75225071081224,53.887574093976895],[37.40729060683917,35.513769798956304,35.05452704836887,31.307864968732982,33.54545420176384,37.38933311805084,38.44367747055162,43.062513265724576,42.377055494891245,41.796324926848825,44.732534336138336,48.36232339506025,45.87308099646294,43.18540489306551,48.11842939266711,49.389289591054215,45.663810790091084,48.4072373101973,47.14784839964795,50.00733789407958,51.182281164266115,53.81216748405073,52.9911396049408,50.07730890795695,49.12519726627843,46.40641848949072,45.986631061562136,44.565040810695685,48.021847742661976,50.073072547275714,53.615933814921206,54.5840838218884,58.5837078977863,60.778595001127016,57.79001500172315,54.363286926573686,54.31712143099283,51.465723116035676,49.50209293089311,54.115796324590875,48.945317821422194,50.75227845955783,54.40345757098037,52.011910157439964,50.585980441867406,47.97186874473798,51.29476270009491,53.57127283812657,49.943380372300226,51.65082979623958,56.39204040016493,57.555452807807995,60.38414548158608,55.6505040575267,60.26105459425611,62.9055520182306,59.00669389600581,58.72583244314381,63.49897725587628,62.91832282651412,59.69969331633346,62.78276985972766,62.6844745943616,62.430545343986275,59.010878513999614,57.2563258001593,54.25251511216515,53.35269391865795,49.74251021410049,49.7902845965022,47.649184483305525,49.45664723742568,52.6794210312245,54.43242001765151,55.789084748060915,61.69094796734745,59.95819519681683,64.03217436242925,62.328187586237185,62.108121044821566,61.23751636733832,59.344523394619074,58.97998320968259,57.53833383806279,53.56647484854377,54.245044567531544,55.41441289481307,58.49309222382876,57.14226264979269,62.077305837647636,59.43522135861329,62.32673349090721,59.93356894302991,59.280699610503326,54.91741758870526,55.82163190380146,51.743867364341085,55.072311922300884,53.390497290912634,56.390130451537786,55.980895262440065,55.297029931058205,55.143321190357646,52.94618479634862,53.1603369162274,48.94416055042015,50.95271294005917,48.01204823641148,44.773366939553725,47.02798662509909,42.92961273352605,42.774059462036455,41.26525242916951,39.2425843865818,40.302529772459664,37.648922074788246,40.23752447757437,37.41890339464777,41.78537796646261,43.591647058752486,40.50961155789158,39.67882179367799,35.189815988113516,35.45941886771425,36.083789158974255,35.39940551718724,37.16865094545798,38.60395949372511,40.268265918029165,44.33003860022947,40.81383896373949,44.97656891915771,44.06223808826414,47.57435301158613,41.94318943094511,39.67687422643625,35.15316420907953,34.52565016502703,32.66200586715679,36.27916300845628,34.17108505236104,38.22886989709556,40.28128353156473,39.68753695845793,43.2659460654774,44.91993086122479,42.276101724096776,44.29548891245498,44.9287829505013,44.35763065349677,46.66899033581616,47.92226721269586,52.23339655546517,53.37148015987947,54.29650763056574,53.70406853780476,50.81283235261917,50.63148613420577,50.09184988435823,48.24103130698648,45.11928519815004,47.40263197636061,42.38786074601307,46.666458206822405,43.911914887174774,38.677596574292195,40.740701239993214,38.85529248283328,36.6675188803831,35.000355931183464,37.62653416388574,38.3678873720871,43.59479888923735,46.76914287462971,49.58597230309068,52.43550132424805,52.28156007112639,57.13017525600173,54.34860541380883,54.98596085571813,50.51258328452669,49.1442240556942,50.36906399835064,50.76182754449046,48.04022502652349,50.96410308227698,50.72009935330902,52.52589972107239,47.38514660539451,49.14659827881751,47.69552797107168,47.05555973991055,44.94326704338342,43.51699214398779,44.19144055381204,43.714960391746,40.35330486044593,42.691730310646705,40.55878705340962,42.700342714602066,44.40856847355931,45.89564814943976,42.320929937032126,40.344326030831276,44.13210009854436,42.55524030005185,36.635251487223414,40.08844862716494,44.8279656701593,39.631369787192924,38.17542782117358,41.65979774601098,41.837380866770324,37.279056849996955,38.18188248731608,36.11208983790977,41.62627398533687,36.5746624468367,39.59870647311845,43.38284083827488,45.987420170949264,49.605675984712214,50.65763654181555,53.47234166796437,52.57068961878014,55.153381209632414,53.76490120241558,55.8170066044042,53.04573603197528,48.20238124996871,51.32224907400854,51.90543595024732,47.19539574600094,46.1764624632071,48.085042593420496,45.204606291819374,41.849466826069445,42.19257869434507,41.92631581511738,46.858217552670446,49.78009751779371,50.49264290009529,54.121577231090185,57.4828543204829,56.004831947836735,51.322916985564454,53.6241592596706,55.78943235550054,51.38982782468094,49.20313381050071,52.455457776505185,51.58392661541011,47.53991706582249,50.8211290047467,52.4058290459375,48.66291024585264,47.73698911351089,50.91378417402269,48.63040094620599,51.32667451226101,50.636268587227384,52.435633962263076,50.13389604825141,45.35415963485409,47.7503484320317,47.17219025710958,44.0181617538088,42.4148676714965,46.02416763294215,43.00847931588676,38.66450665280688,40.33956687877357,42.780861842381235,39.2658889667296,35.98382237507812,32.87814386717983,32.129947633578205,28.50297532226812,32.426386550323556,29.75021474733613,33.346378018186236,32.92595780385243,28.24372112233555,28.962671190904175,28.286510555787636,30.322982144455356,34.867472057388966,34.776085330453846,38.38656419791214,36.921581359829155,38.606747743379266,43.85726206713693,46.06195999540614,47.57795291881634,42.36638594453851,42.63098941425118,45.86003335765667,42.519762592701845,39.5437768292352,43.3081857498521,46.48844331152679,46.89107932907271,48.2454128370653,50.40200130966851],[39.31406211059018,37.56209190824925,37.36266795450043,34.10881418035466,36.61845153714346,40.52179602319575,41.9557597616088,46.56142133314611,46.063848371982495,45.82937873766009,48.817722684906485,52.31427947300432,50.06213085983716,47.491423738028864,52.50362352879678,53.7694266855064,50.16004561858286,53.061931352117625,51.96643968725669,54.76021327709206,56.034630943975756,58.62304470965809,57.87612240304982,54.960056554570095,53.93506574473461,51.23773809877562,50.69095295375986,49.20756241321833,52.59125529725359,54.47857851185261,58.15581755888031,58.90851865754468,62.92965425098142,65.27783611608812,62.26463695837187,58.93067151871697,58.69826780686542,56.002343492606904,54.00266768146684,58.52706087202894,53.46415987823008,55.438383613259674,59.06990897518599,56.62610929998609,55.23994155613052,52.51462350099246,55.804255306225514,58.11674855987305,54.36440892783828,55.924842215408525,60.72647665184728,61.81967425494791,64.74230951391453,60.04032243980546,64.59712885208714,67.36925182080691,63.56891019982415,63.27249735716402,68.06813859621852,67.55868953737884,64.43698764738637,67.56675389145072,67.46539427788804,67.30556271807319,63.85868428821128,62.043875241424765,59.12724327251846,58.14371249978259,54.58671753285855,54.5242057705339,52.43801175906274,54.25778675346848,57.45943285314217,59.30581705319608,60.55812964414975,66.50629529346914,64.73462946230835,68.75297745939717,66.99975158678362,66.75043573872733,65.72830479435606,63.769077723053634,63.219028329446374,61.68766454512933,57.798802204674814,58.58129216490125,59.94279320747625,62.92934653603899,61.775734846173236,66.66838654478092,64.09560928931197,67.03703980339054,64.5602734642373,63.779780532388806,59.34874006832276,60.2046736532556,56.06373273137237,59.29825858750124,57.454624832277034,60.19495243554706,60.01797471021547,59.03018829954488,59.1107084491976,56.615143908795964,56.779645764816834,52.42647146253657,54.14448325833018,51.070259719981514,47.732275010157984,50.17997119639409,46.13288967169685,46.38846417455976,44.995375353068354,43.228774639465726,44.5508170014011,42.0496249123092,44.813601615428546,42.12780778983715,46.63108518781364,48.3049158142956,45.20955711488632,44.21829020925163,39.72886714216196,39.77116580928831,40.0986026436506,39.31932357848072,40.53518648109484,42.13580750484679,43.54979205698617,47.70988191533386,43.901440157314426,47.926202258574286,47.27219269547573,50.94414280140193,45.45183268334291,43.3877101668699,38.6011842330904,38.44686082226035,36.877189177297026,40.603885163823655,38.772780312221,42.86168181815976,44.968188159725415,44.238938898699836,47.77646353791857,49.37856523145044,46.65641229254002,48.50925463424991,48.910526739808674,48.217509014512956,50.23475401758764,51.472737923060635,55.609825115201645,56.60846489393326,57.84235341891303,57.368705070059384,54.65528366957011,54.34529602222672,54.09752299186208,52.03298227139846,49.087941266884265,51.65211468852389,46.66882214696405,50.94688346758458,48.04089692191945,42.824682058378855,44.56584747813733,42.58234143861582,40.18755455599168,38.81757717498888,41.3493727561586,42.35239033628863,47.5636905833305,50.74673441540748,53.64225756820893,56.386595886105226,56.407766694415706,61.15785985728916,58.45267530795289,58.90927133466855,54.455722730823815,52.85634968455106,53.96667886704526,54.33073185444284,51.78467987852422,54.96953918008989,54.96486695138235,56.67115567869759,51.586970389799205,53.10379831974182,51.44223636846982,50.82826739649791,48.420789401866124,46.846799686232245,47.2791610775144,46.46152063895079,43.154034018780784,45.20714227252236,42.846037283992665,45.22701646621015,46.44801927079317,48.14989395522356,44.7861752562471,42.32710587430626,45.91117307630291,44.619244633759315,38.59326608665881,41.593997435076965,46.41529728250969,41.42027318315759,39.58485867521644,42.82980671500832,43.370350387126216,38.75183570315092,39.05320007774481,37.02306361694927,42.191577841404886,36.94463853897487,40.356509251695755,43.936254389904605,46.34830809193778,49.71607968983494,50.89730880465372,54.064887164121174,53.45784051791156,56.25209970988331,55.262955987995994,57.1562962730226,54.04505626381749,49.58873457482417,52.91948394894567,53.13042972459467,48.39528035825204,47.78754726858874,49.79772287146999,46.446726260669664,43.1771994266579,44.225035627704465,43.80697742667213,49.148650937630066,51.83401850296336,52.38056939284589,56.22023176430982,59.409710621760276,58.30508732987454,53.54036318020122,55.48544711553189,57.904760718485576,53.723515224695895,51.176452428609274,54.33039376349789,53.59450569888906,49.419250901466945,52.33208982572378,53.94676860734537,50.314716150969524,49.017160556419874,51.986274607854284,49.68770657738397,52.477434292324936,52.102457087766844,53.635080562846866,51.0087157264041,46.58474665538996,49.03392276798977,48.00555198336948,44.8552442108078,43.667958961532406,46.87467660817947,43.42834655911893,39.51161209208176,41.43634951744625,43.30047399553639,39.486923708144076,36.52759736130808,33.7336730392201,32.28557412773298,28.870934559617744,32.59024834318468,30.614941283997915,34.601622612191456,34.635431684936314,29.81750539812505,30.662321595072335,29.6792709192237,32.108173497441996,36.63151436086992,37.22853432097581,40.979708645338036,39.938583136625354,41.25580829390415,46.58457796504641,48.52624590620937,50.39678917950837,45.23054548152895,45.036785285779324,48.378282345891364,45.48159464765285,42.08135439705249,45.51171738392167,48.85923974813466,49.42042823362635,50.91040254022264,52.97521838250535],[39.629134957580156,37.53683427488031,36.77563751020925,33.86970710729023,35.736271850894035,40.298167729775805,41.67326435282854,46.279775726275915,46.229495158770845,45.96903271423617,49.16755427032246,52.52338250204908,49.97166263925243,47.77557524349273,52.76881356545321,53.74251266267518,49.996435215921295,52.91897348080014,51.790115883641754,54.24352531747614,55.54561734449642,57.81732740613019,57.21439117389523,54.2141224109414,53.04455242959914,50.612764462930244,49.886382069012015,48.61757271751707,52.11226603098927,54.00887913854217,58.13740111701349,58.59916977672269,62.78453168336475,65.06293298613917,61.812561559948826,58.44630110726777,57.966579675805505,55.1007004336112,52.8700424630825,57.01573932785306,52.05262467431648,54.41181147443882,57.870886813945255,55.20875162184614,53.81124219917169,50.84483199265111,54.032578089354466,56.445766665644996,52.5331121288527,53.768602634637645,58.66979024682081,59.68490552250303,62.76546926474705,58.251493208184556,62.761410575271555,65.63519895587447,62.00773552158855,61.85438286530881,66.66457304029072,66.13450431265491,63.345836349708826,66.72740211451892,66.83051889519294,66.75127752428551,63.149257427839295,61.372076707167565,58.87531593745485,57.986101172687455,54.72181439759645,54.85516007550275,52.91702804245227,55.013628978824435,57.985790367431164,59.59883416831376,60.66303402507265,66.53932748353566,64.39816149586512,68.42040200394312,66.39199003254356,65.8468970674811,64.69169039921925,62.43612808758433,61.87628494366338,60.03349386285579,56.18571967092792,57.33359269180993,58.90872220350909,62.02030234540909,61.14513000209939,66.235262960753,63.92139417631361,67.11662487213073,64.7460498114127,63.95467173844555,59.545953495139585,60.685143553298275,56.55536235894833,59.40632615553781,57.47760905662253,60.13041616676754,59.62028976482989,58.34010357098513,58.22211104404728,55.48209639323091,55.16971755934257,50.89084965423477,52.34779743023459,49.032489649176696,45.90316892005997,48.6517955034708,44.88805423866496,45.216894148907414,44.29495511318114,42.41061910862092,44.163459984162,41.577749432605884,44.422099481249354,41.67448029599067,46.46011535628029,48.23593880282799,45.33270608806886,44.34094400736614,39.6951760231377,39.597956591490984,39.87362469789887,38.488206737393426,39.603644995373685,40.81882207432094,41.90657882741642,45.85491491648936,41.69881447340925,45.494335278661175,44.765379728580704,48.71765296852267,43.2777554065601,41.628053287949186,36.64127586934303,36.88110307871629,35.65950438223673,39.38646287182271,37.68470594171157,41.62718734036966,44.04758258894553,43.28263769231298,46.6434003135939,48.502193813717625,45.811943273588895,47.77696845205366,48.03695968033855,47.676645973189736,49.52858450052167,51.20235837821996,55.20503957676591,56.63270963075769,57.867560843372296,57.08482856801161,54.32039825141308,53.65797962677158,53.44688536163059,50.93462309008355,47.76864142872659,50.519996488660475,45.340771260768854,49.4484713629434,46.13189061895137,40.86117612152631,42.21845172634477,39.960895595968466,37.528683215004165,36.585515458364405,39.141415939937616,40.54448313764045,45.705501831966195,49.02842074905717,52.13305316003984,54.95709913134339,55.35137370369859,59.85028481065629,56.94661358674361,57.20396831738075,52.55553403169289,51.06405069300727,51.72433518569404,51.85980560843207,49.481280709848825,52.7972709813269,53.11532233331136,54.48887396001312,49.42662791972465,50.63084811691638,48.71949302033356,48.27665954173607,45.631530013675075,44.07815911502175,44.414777032130175,43.44247169947959,40.42611718442673,42.47862532420101,40.29284439537256,43.04264667383895,44.1559577642242,46.235677119254454,43.01855274467402,40.34542306189305,44.038410784168526,43.175384778995955,37.09779056419941,39.96001297075197,45.07484985204782,40.46520631816735,38.539708071346396,41.840525759969495,42.76549865172801,38.29492118672272,38.40144896194448,36.02209405068753,41.12825805370507,35.23652399960534,38.5997499796992,42.25131909163454,44.20799115166625,47.78145940604619,48.531140738467826,51.74317656749441,50.98735537086568,53.68333178509674,52.77969280818674,54.33968037725892,51.19351182609258,46.902894222604466,50.09532202258484,49.97053452970574,45.29820758721661,44.80704688486999,46.579826668782026,43.02154750003135,39.9963784114101,41.124168694737115,41.08028841755753,46.55237382179974,49.1630150249862,49.989247582200825,53.94427706428591,57.288829457303706,56.346964496228445,51.51826912295379,53.63342196177632,56.28367595407235,52.19488080046947,49.6249755840043,53.03600896002824,52.55275902324259,48.33365928044071,51.08038403591186,52.99460172410496,49.64953603033502,48.0600421175834,50.869764138454094,48.31469023255489,50.8324384702192,50.28973631999875,51.52912680861215,49.09576846202334,44.763092593236344,46.79791022055496,45.6802368021358,42.7118054450018,41.30178175304514,44.13856384374692,40.797085478887,37.03656140275608,38.59332182151311,40.22623421117711,36.55787116082774,33.73008235376662,31.35553270154594,29.53402587030147,26.585640058832418,30.68442352819966,29.108300407656987,33.066129130482544,33.64172639735811,28.751859993969695,29.08675852124153,27.57996447886886,29.83674695925229,34.43575901203414,35.433569595424004,38.97329542627274,38.4235345716071,40.04350391322802,45.29200542001874,47.297423350018526,49.41658217373294,44.38582526154554,44.24507773587627,47.845067534257815,45.111100462706084,41.80391784283543,45.22995613695315,48.77013798605572,49.40415415116984,50.939095619129546,53.001916772744046],[33.860814657671604,31.662755726338457,30.790801408186542,27.658114506616656,29.55061022965672,34.01640908576461,35.357703524614806,39.96821571486348,39.91492617137007,39.716902168930226,42.946561606068826,46.247795833352754,43.779794418718154,41.654633688588405,46.691670621184365,47.656756509111965,44.026194051143364,47.12587198827731,46.30918236137022,48.74892474167591,50.30923247829078,52.730840160623195,52.32577542406076,49.52134475880533,48.10307854331128,45.440363814396925,44.49301143669323,42.963332443265884,46.29676875710016,48.01576785380019,52.183516772067804,52.50487326276503,56.677965338543885,59.08719709928137,55.86975565189102,52.61935608862512,52.041101125369224,49.44754759690741,47.34231008557935,51.717398850590946,46.87355210147505,49.17483871982031,52.78624872013468,50.34396528245082,49.24837196322929,46.441416039485404,49.88193136736163,51.9368680301911,47.872828982369974,49.53867444734401,54.29779591839011,55.240385642431455,58.182343165828605,53.34172494749723,57.76773168609377,60.799619708800336,57.19811243851271,56.72600586430289,61.553355825985754,61.32833010498258,58.337343740201675,61.54730147477822,61.45258006393861,61.63631143262701,58.08344237288969,56.05167332261606,53.56556017519942,52.42390863251651,49.2471383851905,49.16533282186417,47.36048956954184,49.59122653716444,52.4149639476608,54.19829367342121,55.01687943522239,60.98156010999521,58.84829654194806,62.756125367008465,60.76026773001573,60.35398223684215,59.05193265178737,56.953196180697994,56.17945224433723,54.523350232194616,50.73241664008805,51.66914441390771,53.33089500848591,56.23232870370083,55.46892505318958,60.41332951436121,58.126293384409024,61.36272388641855,58.87748164259494,57.95278725640963,53.49112835022841,54.623709350541155,50.46016525263101,53.22065714615703,51.22669455890245,53.82403778221771,53.40197058458385,52.11719605303613,52.11677567537001,49.39861087450506,49.33013626639929,44.97829845421829,46.582786611880216,43.42918520839614,40.16216080148269,42.728478267224,38.82412550091828,39.13280072848151,38.06507319227975,36.286329698491066,38.04832285594622,35.60113238536043,38.60204875310586,36.09798472708718,41.063559136771616,42.530260996921996,39.5982980041251,38.40514781832569,33.77917145496077,33.49797223947531,33.629465031330895,32.34482308786886,33.410524179361076,34.78533121330445,36.030616095369005,40.13214743588804,36.216598961077146,40.218093425857255,39.60656313208179,43.30749660749605,37.866344181023635,35.92613375735527,31.010645133748394,31.14605800034831,29.90174799304949,33.73284900629981,32.40235790883848,36.616657532518545,38.744763470328664,37.728699668600285,41.15573057536365,42.74322496813995,39.95525441988261,41.73446432004578,41.92970797398825,41.43546163239076,43.288778409342285,44.89146965405394,48.92291382875882,50.34711561764341,51.548643128605235,50.78143066992262,48.04216856081479,47.42868834068739,47.27499231195143,44.85872106333355,41.876291647909405,44.698587353447174,39.70435205574125,43.95653303038123,40.934389280329725,35.81771160194038,37.296315674473625,35.46791542509424,32.82389130777266,31.511593256124844,33.91702804114163,35.076133171376654,40.25931363071195,43.44319588638045,46.423325571006934,49.12160229340907,49.393490312581,53.97822351779032,51.26560375252498,51.55928948672635,47.11646499399155,45.38561209229037,46.42017674370121,46.82341246748388,44.36370575539153,47.78244848246699,47.99094106763545,49.767246714760915,44.86732739707219,46.166646163699916,44.44097013205939,43.61701227240902,41.06523233402123,39.33998197409258,39.6816939823795,38.83133778347903,35.44984334478398,37.517292305681,35.21443385795771,37.615016128038874,38.982984777588605,40.74382552664048,37.35750095969348,34.99532024960416,38.75375769719305,37.54678282641496,31.5199619358364,34.7213529598975,39.69294736280399,34.83674797774838,33.17252154771982,36.64586122443523,37.247459475089585,32.789294236895756,33.37275373947549,31.015592139402738,36.44639338503606,30.923910443417412,33.97086275953078,37.7807026475358,40.12889321563785,43.85256598155217,44.70436009111978,47.575265611902175,46.6701328670641,49.27966355328911,48.04873341894311,49.96503940161385,47.073767105414134,42.37981608768993,45.56885788795089,45.977997297635156,41.25261756396246,40.4086243284566,42.39181438466844,39.30801033033926,35.9474937101948,36.67412855789102,36.30793647871692,41.52427555974724,44.28711059409569,44.97252657985486,48.759494762041015,52.095608575602746,50.886304016607575,46.11822472487821,48.31986873967324,50.73743196690943,46.50065929855898,44.10536670604426,47.48627954549059,46.85245601050279,42.70787881671311,45.73728686121064,47.55739066699868,44.07875106026277,42.793043932265256,45.802747804047556,43.328506454941724,45.880411217710424,45.1876197859431,46.76042164231314,44.469908617368326,39.81217360370995,42.032768046825666,41.30205673238138,38.218191879518045,36.62234814938531,40.025723995626194,36.96307867678722,32.71940863853297,34.36977759992635,36.663402578771645,33.135466731480285,29.897124748087943,26.9474689591519,26.02599249590092,22.54262843526177,26.64873553508862,24.252628500538243,27.932736898489182,28.04187651238403,23.228398129706584,23.64313522303858,22.577863837481928,24.716982934269872,29.301459636480935,29.761939172877927,33.39644844291455,32.485094385469644,34.07677076540741,39.34426290388744,41.42533889423946,43.35556588788339,38.26107224590034,38.27460840158093,41.794646471083155,38.885223060200495,35.70726479000419,39.29963885213467,42.76278091377886,43.34430781918805,44.84951245743485,46.967352403683954],[33.77367775230714,31.983500792590277,31.821305129799484,28.656315860888718,31.355093894719893,35.172512266452706,36.80109939062508,41.38388935065099,41.02463941105318,41.07474118898501,44.136965968549504,47.475022828088605,45.44717798567237,43.05681322536473,48.15838325376071,49.38711915698095,45.97510996454835,49.16530703395363,48.515849966037294,51.2195397314161,52.83985338856937,55.53265457892857,55.06576776557229,52.3611812973358,51.00711381332929,48.09928741685829,47.21941775331284,45.43316151391319,48.59283031911105,50.17801335745675,54.010956925399235,54.44715339441621,58.47592388768384,61.05346532926468,58.044570492176405,54.90078005784957,54.42388022552871,52.117770299512685,50.22107160033631,54.89372346877632,50.053611799343074,52.09442092681868,55.85463376140644,53.608028658981205,52.579777216651685,49.94704025524636,53.47161491929084,55.41672599462545,51.41920625401606,53.32287599221615,58.00126521065212,58.9591905031036,61.79460365290748,56.788806809578325,61.19636824938747,64.2234719960791,60.544126179098186,59.902279883254685,64.71845189463055,64.58823745664822,61.3456339855059,64.33547502299564,64.03548487482655,64.23449846424909,60.812990067564776,58.685864570603705,55.88301517459837,54.57721829780958,51.18347677508073,50.831524892866355,48.942751983548405,50.95047062557451,53.94707464900508,56.01498255600021,56.90770876423133,62.96767078344082,61.144550219886895,64.99585485736938,63.222374499737505,63.07911990020619,61.79044010543281,59.93947343135704,59.04065168188953,57.63654604566474,53.8801520947004,54.52383235995496,56.1127241444292,58.8133720110087,57.93394578977798,62.648642847101854,60.178233906509284,63.219416920265964,60.57592532359267,59.56711540091438,55.042475111261936,55.887949298970376,51.672630330101455,54.7108495236316,52.68977471339738,55.19724474135452,55.23212185263415,54.02874150793363,54.36867837849868,51.702650494772826,52.06809823725646,47.57764085441153,49.24717918373294,46.2695469299172,42.75610098200305,45.12651421344446,40.99943186465035,41.492166490258484,40.04105411279174,38.55580979774476,40.05969363325255,37.81150432464553,40.844466276841224,38.51354720067276,43.30015040153907,44.556039681880335,41.438163785716206,40.129616221516706,35.668259762669315,35.3642302401495,35.3472886076702,34.61242925234632,35.414525407541625,37.27104941609559,38.67480412666712,43.016616365237425,39.29933298703052,43.40870695545222,43.04288748012281,46.53373767630234,41.1736591680113,38.96236484141936,34.13681808918517,34.172332205190344,32.78160453251448,36.65175707727076,35.402097964603726,39.77071189218927,41.59891471633644,40.518935692436635,44.07425152452279,45.35697255684312,42.4953932853876,44.040824190799725,44.21769911542337,43.32319191174585,45.14075230764175,46.31311223532056,50.35313278289261,51.288199666086854,52.67883608856507,52.272176142933574,49.700092535579316,49.339646871629995,49.34014196857668,47.227448156173836,44.595761167968504,47.407258015158135,42.66033113354439,47.05818199865991,44.36749434817988,39.36146762683606,40.99961244769118,39.410071706757655,36.69165605840089,35.152004161106035,37.4403515437065,38.3521891950425,43.53210533987775,46.55812099816299,49.3646271436231,51.898901216912954,51.9219537244144,56.66647099633124,54.212396735454796,54.57929347710445,50.36914577171612,48.385202940314805,49.78953876911926,50.404505808192134,47.90787414651582,51.35379340519476,51.40446729925815,53.45109219410253,48.602323622408925,50.03589575038314,48.43005981607298,47.44600600867114,44.95775194457563,43.125416585928036,43.40311494174053,42.49971295603704,38.89077632576984,40.761559007600034,38.16407033020005,40.318760471268426,41.48932538849876,42.99169358134114,39.61053938562651,37.19073654500053,40.6939523630414,39.2398445052465,33.24333732679378,36.29220619512996,40.99819538502865,35.90402383796018,34.11641492810013,37.386821424921386,37.82086496864807,33.19618001786151,33.630203268721445,31.64021946044134,36.92561660059859,31.94203264312076,35.23932868712675,38.84934439284548,41.52362566233767,44.90524365140599,46.23903084424297,49.246550973143165,48.646969205053786,51.4589374908607,50.37467368149279,52.51859814060628,49.48242941808866,44.871012913876676,48.29924706332693,48.82242471696743,44.04968168415315,43.33617088913268,45.60285094986794,42.4695630634702,38.94012381694236,40.00405770196949,39.17594963015978,44.465842278093525,47.14111857554197,47.44880343201436,51.22543549958502,54.295898078034405,53.15177900926029,48.41818429340086,50.239206245660405,52.57055759592666,48.388570915101226,45.817160568455655,48.88231932394764,48.0877492655526,43.92253651348274,46.8937105154805,48.44298397239452,44.76245242656875,43.549480401269356,46.589822807726414,44.3560567641803,47.21141777362296,46.8577260981678,48.55757634612255,45.91047395227105,41.38109561288004,44.024827809916815,43.131344423540526,39.88658196185336,38.75702555822902,42.27295655911784,38.88188474640892,34.75512405931135,36.90272058176515,39.07405508785797,35.25577216025201,32.09950258647442,28.94619855236825,27.993305638776913,24.20850607303462,27.769959350661487,25.40011434126046,29.30867230025878,29.139715389132345,24.359832164155623,25.3764330256773,24.681003616484997,27.20809856169286,31.637900450936204,32.10717381473591,36.002468334546606,34.867096950666856,35.91389699790436,41.27213484713754,43.12116261943011,45.00897840080992,39.840206058064666,39.527961621172224,42.850957672119,40.06076007996094,36.551253444697394,39.93777684308287,43.30840606562009,43.913969114731096,45.454160291523166,47.523092087200496],[36.06720132403761,34.247135694793116,34.019151068300935,31.596834006269695,34.138342550284214,38.33642894159067,40.26606263224741,44.793528510459616,44.858946872724864,45.20022659714804,48.40142121796893,51.52476780606583,49.55430481921254,47.480164417014464,52.6128232841142,53.674262610244384,50.30130521270008,53.62024067811133,53.08240506033146,55.545428088406744,57.253910391266096,59.73760333706008,59.404730390583296,56.65066830234569,55.168555410477836,52.4295505015736,51.35818114636932,49.647429503583396,52.79787000649844,54.24285325660213,58.422585634276494,58.51239091624033,62.635853319262694,65.30430341103752,62.15297811789689,59.08146746063008,58.308699110573926,56.05302001340972,54.00419274420415,58.37955172067408,53.69935324123929,56.085176545955164,59.727058339535546,57.3208778564112,56.31638187037186,53.46302351967166,56.8964701168285,58.92898389200058,54.74656316851639,56.34216516699058,61.118612116699175,61.97344912704317,64.96966721194244,60.10206401648082,64.4266982541779,67.6170658264604,64.12409403663,63.54802743237132,68.38240398266882,68.30321501322746,65.32782950619212,68.49101210782437,68.29962828440165,68.61953056776743,65.09388991184663,62.94164325758064,60.43929715309958,59.12094313728774,55.9302068508969,55.59803032005902,53.83224003180098,55.98695944452984,58.84572806310885,60.85886597003982,61.569836219959704,67.61891325327927,65.56874558008035,69.36851956553575,67.4072744854983,67.07880107371061,65.58730401132453,63.520873922596536,62.45097072632043,60.80032282203938,57.15406602679739,58.08766729721725,59.95774131262166,62.637895651971505,62.08432870472357,66.8582505383449,64.59331415406017,67.8071633126796,65.15409143963028,64.03167194434246,59.47393229545934,60.42717213288395,56.17877572993755,58.91497937568883,56.71082622724711,58.921420351191685,58.986186787182504,57.34543926054819,57.79258906750069,54.72598748444207,54.78087253655694,50.22621934745321,51.46163205655203,48.24163461213164,44.76992355539069,47.47725573977908,43.590675472669446,44.509846593035334,43.43985764629441,42.130547485345495,44.08735971179076,41.93275001490744,45.1327012161587,42.876748780083574,47.8989355105878,49.11090554330781,46.0954260242186,44.67053762575834,40.14957394210828,39.595586748158645,39.30445789450473,38.15665132393814,38.392636991037634,40.167633337285864,41.14037384996381,45.423472295296236,41.264613298945136,45.08275115977498,44.93452382135425,48.70599183029839,43.54225727755856,41.76228338022642,36.62780788897961,37.30876272473507,36.37260629154943,40.30371242116106,39.34249459845406,43.63103558553778,45.67499910298144,44.47765542336441,47.88713046537202,49.26407212331563,46.36808076792008,47.82478818319132,47.71727669920396,46.903223944830316,48.34489002523137,49.73793639916925,53.51342150505374,54.55052141238273,56.225131208411696,55.75937010554426,53.33802371558721,52.66514986147611,52.9545264614246,50.41052450108409,47.835111435993674,50.985120784019564,46.18021495563449,50.46318608042896,47.42709665460123,42.43070028378767,43.56865475916323,41.75456558894974,38.84747496554983,37.81830724515706,40.01725470366469,41.37556198110551,46.48161419604113,49.57554519139752,52.55382065074216,55.022958618104504,55.41052035768611,59.90819724260788,57.426614105424086,57.51613433187416,53.238240379745406,51.106586953439034,52.1533522372352,52.61742668599039,50.38737343299956,54.12991616645926,54.57001485293382,56.34211657047856,51.56964599801916,52.612739522146875,50.68921270354795,49.82229943035925,46.947957266229295,44.99616127081784,44.98801627609363,43.67424582000853,40.29691376008638,41.865746122542035,39.151751029462844,41.728320201615205,42.33343447188222,44.25147156064058,41.19502930131204,38.185479755454345,41.506310117038126,40.60187917962585,34.5321017722847,36.99302452867306,41.91022906091347,37.29913508592758,35.0817685971006,38.096188350213765,39.134648128477885,34.59026995502852,34.26127524404696,32.12735507828154,36.946737337261936,31.411022668016503,35.07864745575981,38.480370554845706,40.67638809102144,43.88604041376603,45.117403267338865,48.51419774381591,48.146985563442065,51.11676934766492,50.49981325325144,52.29395894728812,48.89606132565797,44.80237995601816,48.35842724320651,48.31898481072887,43.578045162074346,43.360665735159586,45.601815494605944,41.89234838758001,38.59514698592719,40.43059787214881,39.6431049643272,45.38268942397475,47.7591090043897,48.042044203498754,52.07612835773915,55.039281702407564,54.37050393245667,49.54350289252424,51.08390877741333,53.78991285887528,49.90495440839835,46.971471907396044,50.06098102709204,49.55418426252007,45.25914667552017,47.73419155145155,49.47697701890642,46.1014482676546,44.3428859569014,47.052797150984205,44.66893958907678,47.4509117502311,47.33460955534972,48.58416596445819,45.71590745005067,41.64176890914974,44.09391734626002,42.67973713313117,39.55834828328761,38.75942021172343,41.62483400124639,37.84450150485688,34.29375883924056,36.4984750012823,37.913891046813006,33.867592612701216,31.157540684775284,28.607288591521883,26.679520120966583,23.435045834785022,26.93548991152532,25.6248219780049,29.882961873867462,30.522906704979004,25.6509503183775,26.47595172241641,25.159881116347396,27.965450552353037,32.34794804690155,33.74805996144747,37.61903695072633,37.189639072144885,38.034864438117175,43.371235951948435,44.978310485191635,47.344666681919335,42.34003052449323,41.610164957180075,45.160662583365735,42.92262674161151,39.09346241127756,42.10782341408558,45.71942292699418,46.511197990923684,48.1914971058831,50.14569972375073],[33.37425374984885,31.207827194481723,30.433781634234464,28.20239386609085,30.210223879512558,34.88243451405191,36.73542760987241,41.24303414639359,41.6609895946952,42.005671296480784,45.36662102706581,48.34134444946023,46.18272235241937,44.44490538187091,49.55294746925151,50.38020702289565,46.9763773708535,50.37852925019751,49.97176987808652,52.15941222563379,54.007749571037124,56.3189407659198,56.19330475288481,53.490379506155115,51.78531542525029,49.14356646895303,47.833002998671844,46.16190349936689,49.29537137205594,50.65240899075268,55.17479379717461,54.97773104547321,59.20565704895879,61.87111473786743,58.5670499598555,55.538763956525344,54.53445369949443,52.29575711551852,50.146881798703596,54.333230077190485,49.813450644594596,52.44478520350715,56.01748424386024,53.573594750879366,52.72212137956583,49.78982432454002,53.25971233810434,55.169025360467465,50.81128761254604,52.38141738784592,57.13410493612439,57.888907460673764,60.919459743946206,56.0415293261571,60.27272093891959,63.608071080972834,60.26761398297084,59.63698725613989,64.4742451143704,64.53519469962681,61.71317144252569,64.96401219726724,64.8258773126376,65.3336878142575,61.73251148442825,59.49078996978846,57.31556747760442,55.951552377534426,53.03738432297865,52.75142801324966,51.17068640398932,53.58251350982686,56.184360475698604,58.094177878730115,58.54551179210596,64.55934981622062,62.24450380334579,65.97848502354482,63.83440686941163,63.35481036907108,61.69721769351785,59.495053328532705,58.31388747272915,56.52791780922758,52.95510175198444,54.05352855081121,56.12099286395407,58.78099069960068,58.49263739255856,63.326800500213004,61.27703397011979,64.6894087565237,62.073267111909274,60.886841839122134,56.33977896361683,57.504324861946934,53.26873219745032,55.65781680982407,53.369744015666896,55.48663495176337,55.327948475264,53.47004550929395,53.815196069612504,50.582322488989305,50.39033223078884,45.86547254236839,46.97088516678553,43.64866342665442,40.27295933218172,43.122723501798916,39.39776655464608,40.366923479089934,39.602695214606456,38.267244443624804,40.55759779575407,38.428986758058734,41.74684302397977,39.59011108273136,44.87159544958644,45.996595789949744,43.1354899694889,41.62132372583034,37.032160502471825,36.2790774408175,35.86982431289437,34.300675841724534,34.40752887235125,35.952281778179845,36.734312816667,40.9215545870718,36.61745736661167,40.35498316494474,40.22229455657488,44.07223128982687,38.969545226995876,37.37498927903727,32.134356406897375,33.10134983421289,32.455074400649394,36.40680872018224,35.76480195326562,40.04170098820151,42.15196598880866,40.80290284943646,44.08616512360651,45.508631664467394,42.60405690543959,44.04003811432922,43.787981732777695,43.17033327552492,44.47737731715938,46.176750741206426,49.854720140888936,51.236896661333525,52.87536899663757,52.16980161087167,49.722891165303444,48.80266831700841,49.14426084296738,46.309406197734944,43.6681829916664,46.98919758093549,42.158537844824856,46.36180750247513,43.18184045383845,38.264264279925925,39.148554184501734,37.37035780651435,34.31982718252464,33.44518272300011,35.55381042844272,37.095193763084005,42.14120277891297,45.25363380846202,48.31665125288806,50.77312745151099,51.38404499289578,55.71867969936755,53.18966656939662,53.145513436401195,48.83885610154172,46.66754485074905,47.56049461936953,47.99102080660616,45.857480266007606,49.7474004043235,50.37563966846549,52.10079829994057,47.45683927510745,48.30583079968009,46.300080498583576,45.35588072417669,42.351774751669545,40.320599722313204,40.228432191591565,38.84994383724003,35.50248288888054,37.063756309746466,34.41466462624664,37.107043606161,37.76031386864191,39.817624498339775,36.78648057058618,33.761477697274394,37.22053967798492,36.481914752820074,30.38693499503133,32.926273248448496,38.02715091003256,33.59684727905202,31.451384360788435,34.626248713180814,35.80385763866033,31.395613230687154,31.18665636261507,28.74641576702159,33.73009837716871,27.809303242304157,31.26037355070254,34.844162896830404,36.89040273415093,40.402506516113014,41.31332436472369,44.5460013620422,43.95480248155941,46.79511301186414,46.04755449787765,47.777155243574654,44.4959409096277,40.2816252212876,43.731377030706135,43.727351718886375,38.986595205843095,38.659245818522756,40.8341813782223,37.21463532195947,33.9092651774496,35.6008341687004,34.927097909908895,40.6481476393357,43.053881461576005,43.490145427176955,47.52934931956289,50.62542759308354,49.92905004687637,45.079585000290805,46.819662956375126,49.583728340047585,45.68315099098996,42.83266248013046,46.127657901619415,45.74183683528102,41.452837399165766,43.96243646855371,45.90559018264021,42.68891945194937,40.867032999245964,43.56960315831302,41.00791713395428,43.58177291832993,43.22632592404135,44.43109849730761,41.81097510690058,37.600430061877105,39.813483157236654,38.55257213780801,35.50454022825723,34.39302988254873,37.29472234573001,33.754983598658974,30.018885534021496,31.97763794228201,33.601333378676244,29.735833106279642,26.86018076096454,24.310193055387995,22.566598249618732,19.36676686191488,23.278209436107918,21.828434733116666,25.93158304468876,26.795706660099594,21.892068420221364,22.306878780905066,20.74900586380985,23.381569538722523,27.838830344723565,29.30898454563947,33.061816970387255,32.85644611312486,33.925766012945175,39.19968506480977,40.9026561386583,43.36357973071026,38.44403900886917,37.84733724728204,41.563155669469324,39.36030200635079,35.69558044788805,38.79817248972303,42.51883486828566,43.33553704774602,45.02630562499804,47.01237471508261],[29.926367295224992,27.921420660101248,27.510868594098373,24.993372027772235,27.5408248869746,31.72743320397162,33.688371341821785,38.19985264012638,38.37840415459612,38.855753880015165,42.12182367884382,45.11995334464311,43.24140604972558,41.34963475920917,46.508647493205814,47.501425228844525,44.276223141234055,47.7974114266782,47.627423984856634,49.98740631138575,51.98146044831534,54.54774898661285,54.46373252776728,51.927511140777504,50.159868081067145,47.244343062475224,45.89387748430447,43.936528565124036,46.885608317431554,48.0975612014531,52.395200592956286,52.24588996985306,56.370904676199295,59.17900190125566,56.03285078959214,53.11244419355384,52.166461704855685,50.2204921142529,48.28273001183129,52.8016445088078,48.32048003587255,50.70898295550627,54.455770203647454,52.26373637953966,51.595228109387755,48.88717550453353,52.53649659432026,54.189365487039815,49.8413395198829,51.8141179847463,56.4229561959482,57.16960193097443,60.03617215437052,54.885244402713454,59.075142560787405,62.44721726154057,59.04351080979084,58.14975278762946,62.97946995007564,63.232247301114484,60.125327997007105,63.13367690857312,62.766095782545,63.390126917356454,59.90933236355564,57.496695657039545,55.10650195306506,53.52949442718901,50.516022032778686,49.96991517981474,48.39908438088678,50.73577823752408,53.367776603881374,55.52230550555452,55.91539012740685,62.02015952740905,59.91807547126342,63.569477991927776,61.59837956591933,61.366641680163596,59.682506742454514,57.740639623704645,56.416444387924024,54.91632284549107,51.37336374418148,52.14238251680239,54.15828769522328,56.601518724052546,56.247062708486425,60.8667833511586,58.69612377400759,61.9914699708633,59.23539366704874,57.95395739560161,53.35300156570805,54.34109349986238,50.066189517584355,52.60613157867907,50.298797969297986,52.388727579173185,52.523431631323184,50.78714295037911,51.36517028541175,48.24917752787801,48.49496569187313,43.86606847966468,45.17686460635907,42.096119005141894,38.49299998159715,41.060056158414476,37.07551674802204,38.0619056748257,36.927082378450734,35.79050720462532,37.86590735609379,35.91487615765008,39.30443564654443,37.36920581906256,42.59636775127255,43.44702868461016,40.46069943907299,38.79345699865909,34.32473540866823,33.489241383345004,32.95078205614602,31.817949140341057,31.833212109372187,33.77058269808079,34.817196332331406,39.24018850490608,35.28220053769659,39.25283042846176,39.276786038296244,42.80237857119199,37.712760422199,35.717665317818316,30.642008398768912,31.364746453843164,30.5434257105271,34.551854685408664,34.107565316901045,38.60753051306703,40.35600321286378,38.863636642628435,42.27105886261106,43.36158838351697,40.37414107759588,41.59181582931422,41.343197989105775,40.41026711242328,41.763625762455085,43.14358546782576,46.8938377743128,47.98371931362459,49.66453675252036,49.17630106489818,46.807545003170745,46.11073979185589,46.51902576238288,43.98550353400268,41.633433729995005,44.91964820893056,40.3440901164783,44.718936511503344,41.95292321965005,37.19039931822617,38.330996560198315,36.96401977457032,33.82269185337535,32.515533749593594,34.48719517514903,35.65928535471414,40.71799193618272,43.64857244577086,46.51000593492536,48.81898093627034,49.155208923603496,53.6696275272854,51.391349902265475,51.46381560938039,47.41277992034737,45.00677085658136,46.380633882521494,47.10143000933821,44.85013823511599,48.73416577006033,49.13509414792468,51.26674625838463,46.7252333871149,47.77971224406052,46.009771032864386,44.76443270481628,41.94241104833477,39.79872727199803,39.74049163794035,38.49884925087356,34.78349717111236,36.302636123271625,33.44733876986032,35.69716079707477,36.50012534012321,38.131623960892824,34.93608183238795,32.17849110626791,35.562354657008896,34.357700413985604,28.30825189140186,31.085758230615028,35.91008570635695,31.07578805203696,29.085461871881243,32.30741188072537,33.07804159873435,28.5347478862154,28.67000981956983,26.48350453283154,31.696518595888517,26.44376136949797,29.7811825912281,33.385145785073846,35.96651179891773,39.39579468639943,40.67352801622714,43.70353965584402,43.15731682126192,46.029520219263084,45.08248360921934,47.21724556385376,44.08113565134006,39.5824708144397,43.133664653581334,43.618314802271364,38.83110612167499,38.26946597870424,40.723273822855184,37.488889960231056,33.86176889565175,35.33612458923812,34.20213915675849,39.70755863843077,42.209463022330745,42.35176800853129,46.233036561674766,49.19342868272206,48.28513442917311,43.50753273196886,45.134302122836935,47.6416939083119,43.62340271379127,40.838641465629365,43.931816540921,43.30800313794445,39.06404181264913,41.80924368576549,43.504987584254394,40.02294821509005,38.52206294278164,41.433843820359186,39.086998859717994,41.88083758774972,41.5896927065117,43.156593289016165,40.45352075071928,36.03082908582645,38.6490659565977,37.62919411578484,34.39138762726328,33.38377830299653,36.82244063575382,33.345303457030674,29.2773252445573,31.578527908762002,33.676330019066754,29.79548664234212,26.644572094866714,23.48303873073538,22.52790325158495,18.68119917345537,22.224744815480825,20.015851100582733,24.036550805372343,24.27207030852891,19.412620594186826,20.32187844138107,19.4304200043556,22.18258038771125,26.535070666567393,27.489340170786818,31.465338095573326,30.77214351938586,31.533845290067294,36.890305751318664,38.55020491468197,40.79194416109386,35.75108138511226,35.12421545846013,38.65072633961562,36.31312360109288,32.567409020077605,35.72561648700153,39.32077568938053,40.09488344271471,41.77260891721884,43.79077128034756],[30.408836385834647,28.837766462619694,29.128997464926172,26.906249793099242,30.123019319549602,33.74985279903873,36.06948770883892,40.482228460927765,40.528842969889205,41.34554122618467,44.48221538221264,47.40766248655235,45.976959064179894,43.97553370689724,49.17172383943726,50.337722472133756,47.34997294168912,50.98767285003123,51.021035786267404,53.521718957193094,55.60455988395812,58.33940764405404,58.256184295294204,55.80473283333563,54.043021648559105,50.96911327529324,49.61043137990945,47.45122643712706,50.221718246488315,51.24957926027374,55.34795632412924,55.170364514255056,59.17717723517993,62.170717851230364,59.177351242089216,56.39800213998193,55.43906983631061,53.79185271845522,52.00244953506169,56.68041441004275,52.274006122055695,54.53578081998974,58.37130721869474,56.313057767427,55.72387439738546,53.105963370123064,56.80462582310769,58.37373246435021,54.02507003353389,56.121270848575385,60.67906396127484,61.40548603713898,64.21896959069579,58.95973612535412,63.09587232143067,66.51996924783612,63.11397039233036,62.07779148049556,66.89491190885346,67.26436837953054,64.01848776670421,66.87571643960464,66.34993002955657,67.04498938844641,63.6542462177251,61.139416643354195,58.57839405746345,56.84153225688729,53.72317956042025,52.932173864161285,51.34583892836178,53.53463953853279,56.25016170393941,58.644528032012275,59.02114640862621,65.19300038495113,63.295817960546785,66.8606097107391,65.03097433926861,64.98073711761103,63.23467212472028,61.456034066888954,59.954364863530635,58.61419335670715,55.1547959299178,55.744911648668534,57.787078840563446,60.0225695694055,59.6837005155583,64.09362209098286,61.83898572629412,65.0121398174811,62.110070847592304,60.705378918571114,56.050105745622695,56.80920392651631,52.49383350476904,55.156600760874696,52.763463397690685,54.64138342007897,55.22157821140874,53.41076169131622,54.34903431578729,51.15892217630295,51.70943193481411,46.95856241294543,48.1803958435333,45.21131347949242,41.41813023859289,43.88433349179533,39.806331535317526,41.1010479628434,39.748327930736785,38.95644402045352,40.932925942247586,39.21209265969942,42.664265566467094,40.92190907745787,46.05036933180703,46.686152783249106,43.5883939098102,41.78169365282045,37.47409281497332,36.538456886578516,35.77384229205491,35.01612490202364,34.59828904238785,36.93307288896225,37.97597713148234,42.56043916987956,38.688255479669486,42.631593923234014,42.95211005410786,46.342140102709955,41.42513744993987,39.332578816583094,34.296859391799536,35.11498186786502,34.308616477408926,38.33547392319669,38.04870419281786,42.638452086927835,44.18686982169016,42.6031197616531,46.06145637773196,46.90012898277368,43.85121570057228,44.81494896104794,44.451834838678394,43.179641782613515,44.35299635547175,45.39092745855588,49.02358499783326,49.675652109625645,51.63426019809309,51.47004676076348,49.33247343212186,48.76670039035958,49.42242858882391,47.040577642539965,45.05373052566728,48.423417116063156,44.08087153844086,48.52883814002427,45.965502240805634,41.326278669101924,42.454066101615254,41.23596520196029,37.995331715630066,36.644538339540915,38.47894207704477,39.55686823187869,44.5577365474058,47.34830779951924,50.089168888407414,52.209283975490095,52.43593934870634,56.9928678194273,54.96077766787094,55.0072026522198,51.17275840888183,48.493687942887064,50.09279318937544,50.961724471079926,48.769992703663945,52.75841879739959,53.139357678217806,55.427627186548946,50.97173651736977,52.02350594124609,50.274915546129215,48.91683617031461,46.048981907183745,43.78327984752427,43.58470821661156,42.18502176966637,38.35942665689308,39.58881900652516,36.452256819884624,38.566701094991814,38.99022840833819,40.47986810513746,37.43336321916021,34.466937687283135,37.48955078615014,36.234127863447966,30.28816726235873,32.664219879296276,37.223095024468215,32.37776566136853,30.139057565805214,33.01366379777758,33.81852741674001,29.195539105083398,28.8887723165023,27.073974338476674,31.896900893833234,27.111427907464222,30.78103772933848,34.05908332626847,36.807058757579846,39.795744220607794,41.532572171150775,44.79374682405942,44.63685831641929,47.73698206664186,47.085823324581945,49.328031745362935,45.96639101332723,41.74371554487376,45.539185549167215,45.971883515749525,41.19024299974688,40.9072928481568,43.609444014616116,40.19764885766178,36.512462104882346,38.51589238583542,36.96007631034126,42.612170927970666,44.91384770661668,44.67307941562562,48.5917544347452,51.23451150851168,50.54843851327198,45.81217723003523,46.955613341047375,49.48102585438259,45.647141400653354,42.59130852473065,45.349934017983294,44.669150007183646,40.397026399549055,42.8888448356814,44.36459670121596,40.81395917788181,39.20786485794572,42.014716339860136,39.88250329419569,42.93840014603484,43.071290421673304,44.61088601947611,41.497337610275345,37.396100801523495,40.357842215265265,39.02169049174417,35.693423142976506,35.28100898779742,38.59391950035865,34.709990413670994,30.996931099107943,33.7850583245804,35.51188053208588,31.328331998950535,28.447006424392313,25.327961992631273,24.0729947874501,20.19061805470342,22.999983430818283,21.239607885914182,25.508514176805416,25.731284251035287,21.01646081663536,22.454528988360188,21.772021094158298,24.901772201054392,28.97548834788115,30.21432595658963,34.36374666074002,33.69345104268122,33.85230074327028,39.21845532562777,40.55078226181156,42.895371427214144,37.89100764328153,36.80458851842449,40.18046331803687,38.1839384025991,34.04136412324348,36.81986142376844,40.380311654055966,41.23634109981815,42.9830516260663,44.88943285021141],[31.605821136237978,29.64194435331838,29.234601807866834,27.82920126565743,30.219372359329974,34.67460613355726,37.05503893568229,41.38921080334788,42.101411466938956,43.02726000734197,46.407894273794625,49.06311522185125,47.387404306695515,45.922499264238425,51.07640396868306,51.8747266557672,48.81223253337381,52.526207940262346,52.61859090422564,54.67886313962048,56.853331839970444,59.210216451615096,59.34992852850333,56.840971744642395,54.8630703527356,52.092272062855784,50.455801826414664,48.50562407549176,51.330212952378496,52.2649013654614,56.93659931248272,56.2979858814436,60.48408198244748,63.45922044338827,60.19171064504466,57.449650783619234,56.10068598208054,54.3760347622875,52.32965514403124,56.517640993140446,52.338170733073,55.09927989657486,58.72368753017308,56.43832960110951,55.908992111345796,53.01219231696915,56.59562359000286,58.22188677794159,53.635175699273496,55.3476433980504,59.98813060208284,60.569272242955506,63.56800472500516,58.515838864268154,62.5252433947707,66.14424676020015,63.012655178955754,62.08560633099836,66.9060720947059,67.33669850145992,64.50579999143996,67.63526826544198,67.32078065165997,68.18384558336192,64.62398549187589,62.10507117085766,60.08209778614104,58.40261443066631,55.67075777844772,55.0533061390509,53.678430842803294,56.18300687109631,58.60339311362971,60.764082073921834,60.85779362492954,66.94256772025156,64.6074941987975,68.120121660589,65.95700797321003,65.56376487098701,63.574385869846964,61.447326590051745,59.8123462693446,58.09009974377839,54.76122713095759,55.80079796857299,58.19244683640549,60.48551479157336,60.58982199228154,65.16947589626061,63.270039989971835,66.75155846304082,63.9435189000495,62.46722979655483,57.836609649985604,58.91130646810262,54.61712024689044,56.74086535474017,54.184296996203884,55.809217822348494,56.089180149478835,53.77451170436084,54.594013472814076,50.96826024666059,50.92988073082839,46.22125671731386,46.947539822821454,43.64849307276358,40.07014873629535,42.98671301349193,39.33433879206045,40.94271025890572,40.252394979888955,39.46895670394938,42.07471664019642,40.35943651232793,43.95566345793604,42.242518615647725,47.71239773465836,48.379210594689596,45.527807333856025,43.66421952309071,39.22980449308624,38.037649406219344,37.08080344272106,35.543576016836276,34.69902813215514,36.613025894137735,37.095649177620565,41.44188038832431,37.039396978096754,40.598170814149924,41.03369193617298,44.77851463406207,40.076067302253605,38.589940061971134,33.243717153299166,34.804426053279414,34.58969057973729,38.616082588543826,38.671400426359135,43.082683731688995,44.957500139268234,43.255117809563636,46.45617553633684,47.524877499968134,44.496448149300086,45.479324597202634,44.82066896556853,43.90279218530939,44.69918578914767,46.27041989347954,49.604569983492496,50.74191969726551,52.82363771010111,52.32352349152441,50.23187162114005,49.16699041735501,50.01819226936885,47.002870384933516,44.888900357740816,48.61242994474738,44.128761397556644,48.348869608402204,45.30238450567844,40.705733481679026,41.203819245693275,39.73300424976598,36.313861069386604,35.59132867324545,37.320750959603316,38.964741112620324,43.828485803460666,46.73286879446712,49.7208897665708,51.839281941232144,52.59495024269837,56.77234817689301,54.586744393910195,54.295740207678335,50.30863165398004,47.60217754432424,48.644140360229905,49.27233936844991,47.39538691820257,51.681489634002645,52.55122716894666,54.459215595521925,50.13596754014068,50.69824316694231,48.59834988067924,47.37457410818946,44.09289610017204,41.73425528628692,41.251843317631774,39.46240653513307,35.97834507816105,36.975402438264275,33.887271209005064,36.554310361344335,36.532140847336635,38.60192725185202,35.8945280096696,32.38609739605536,35.399097872912094,34.887663727202074,28.88153125300593,30.764584665822568,35.738873427439,31.60404329266268,29.05567776540306,31.84555535385448,33.39714412217564,29.048628457591313,28.131014049909826,25.822703110990624,30.312688977510515,24.45793406060569,28.27852610410546,31.540766550718544,33.56557174474292,36.715012249713965,37.95736582341281,41.46291198457418,41.27469573631486,44.377951151154555,44.04859753079343,45.822704269908925,42.22729271302248,38.41460886772936,42.17964712079319,42.0385115592617,37.306556381099256,37.405569169217095,39.93724348215271,36.037396768148156,32.63950505913004,35.209318196123085,33.92239077204388,39.9505892590667,42.00568962345462,41.97728926727054,46.142344749140065,48.863618625567945,48.58409700660513,43.74581083250735,44.89157703178342,47.83756794789476,44.26383370404447,40.99736588036089,44.025032986947366,43.7586403718608,39.39442846405532,41.44705386137377,43.34057592025029,40.27748449973829,38.085297377540066,40.54263196725411,38.0541724588211,40.77635881200742,40.85502847767694,41.87005529263636,38.83579691736125,35.05591293420641,37.50461166979133,35.80228186425031,32.705519154387176,32.25592453510844,34.88908248587225,30.863603329761318,27.58406831591893,30.105225150282678,31.22560290398964,26.99611543706042,24.44434172045755,22.044697009171223,19.8393496111142,16.677684634297982,19.91798332986066,19.25074039586285,23.67238646125947,24.982330586778325,20.21409033676041,20.926797207260208,19.302770973947446,22.45366476885668,26.538687117400176,28.734775231965763,32.65360943208769,32.86743352480514,33.18893513764501,38.42032889149395,39.67180036709246,42.51234830691659,37.76984829468268,36.52922861729086,40.26657270011782,38.74137451820059,34.5955664813,37.15501679682236,41.00425345052281,42.02626804094153,43.874434681079194,45.711985516930866],[29.030684863435553,26.715328321713436,25.75617295210108,24.277055177825588,26.17792313813069,31.012161891805235,33.21200886105648,37.559144128641776,38.45941228160457,39.275006805420134,42.75450613098847,45.35358062556504,43.46713184902008,42.20253591806935,47.313407449727826,47.95285687951595,44.83888571234329,48.565837242718004,48.715148564780584,50.604929414028675,52.851408851774295,55.1107650023112,55.37467662586725,52.9220895262906,50.80976601620598,48.089518299805604,46.31934482205497,44.399822169645866,47.21966128811897,48.136762561439426,52.99696523881799,52.234480472905354,56.48594748390139,59.4093870857665,56.049981598419414,53.30948721462472,51.86284212846812,50.11279870716493,48.01884241753464,52.124230831137666,48.02827030921935,50.892438533201094,54.48072301105619,52.205438057438606,51.78716104409506,48.89345695081829,52.5179219724366,54.024418174034544,49.359543322817714,51.13134049178052,55.71869415248162,56.25423665274775,59.23071137334523,54.14592707702011,58.10710358656857,61.78130869240895,58.71874586338013,57.74548058317189,62.55761829081095,63.06928902603003,60.29586492700397,63.45275400575347,63.16630809201853,64.13005420061042,60.53951788736094,57.9741440951444,56.14166255680107,54.44965095501065,51.895654467627956,51.33396264206612,50.078148838619384,52.74730975176542,54.98935146543851,57.05319104279497,56.99874232593179,63.040049309921805,60.54962496674075,64.03070337344438,61.768947984675094,61.293906179528456,59.241821253230206,57.05518548140055,55.398453098055526,53.62441412353574,50.315059295945105,51.417862345560664,53.883058271769436,56.185139536405565,56.402322092142455,61.02851382055458,59.247269410433184,62.84058112530624,60.08436559029083,58.60659004531446,54.00625224216408,55.23870964148366,50.97482295407252,52.89623914559602,50.3368095169441,51.9989841842287,52.04065059498882,49.68797229003396,50.35518495573274,46.71563806945612,46.54066936661496,41.87535072165625,42.63880363884342,39.306531577706316,35.792428119313485,38.74893179006401,35.151571784345705,36.656931970134764,36.133025462916365,35.25486123347031,38.026037134253315,36.29816475404343,39.933980430609125,38.28225703515077,43.88170597231657,44.50300199631893,41.76800338345137,39.880512810268776,35.416228056234125,34.127575712720834,33.156357030305706,31.34109896435019,30.56016402080726,32.27873911850631,32.72334958520088,37.01423789544339,32.59811744253816,36.203460746657825,36.56817132471695,40.3110119459262,35.575591178066354,34.118527345760015,28.751282129875413,30.38694515836023,30.309896076442147,34.32808770129288,34.58451121957105,38.9851287769722,40.852310660475275,39.06499536529707,42.18937598676966,43.28218515392544,40.264165164757124,41.269144960616195,40.57852395530013,39.82898800838896,40.64007018366924,42.43846649339705,45.789421603139054,47.22900107099476,49.16396570261681,48.451298033705136,46.2671452181841,45.07700266025926,45.86349459006312,42.716160876120014,40.49984198296784,44.26482307303419,39.76455174889513,43.94428505915197,40.87075784470741,36.338088372765874,36.766139635658156,35.39722531436042,31.91039900755043,31.167907888865884,32.840867831182976,34.51554305815805,39.35458942230703,42.26395070719216,45.282504807029056,47.42676380964025,48.26693848811349,52.386045877589325,50.14591305093483,49.83197715383188,45.820897610137656,43.1402859391189,44.15153517573759,44.79116193442047,42.90408280696976,47.21887593195001,48.125584628157576,50.06722862026256,45.82483737128187,46.34457781486301,44.27357451395378,42.95615928972099,39.687546737456344,37.29878281826894,36.84096914018454,35.132412420375815,31.579080900472107,32.69257183109107,29.693408326994145,32.348603139977634,32.59820259882881,34.67451590131905,31.843188067936254,28.51064224940038,31.778798418653505,31.22120179612537,25.147098352351332,27.377904038109627,32.5123562110555,28.337466097647116,26.01593355224155,29.108600742572936,30.56893297926656,26.30081669263176,25.820581187439103,23.22417521005278,28.120389622348412,22.045554329378948,25.49890106904239,29.072413807345075,31.1437070286674,34.68309417076839,35.63968351510493,38.84001791858093,38.31599815616152,41.236604052396345,40.58685939055684,42.4316384113391,39.077493970747064,34.91431426648318,38.536366598995876,38.6390890842354,33.86941409975342,33.6567688678898,36.13729583875949,32.526123322814755,29.004572602645524,31.14090091335782,29.95400266713637,35.84091684324457,38.059139477212135,38.210254320357315,42.30925283859888,45.22896316387964,44.734749382613735,39.87922824394839,41.35518861102901,44.23026657786106,40.4999264669707,37.44308198855467,40.69303364789983,40.434776848350886,36.10305615650551,38.40285097666788,40.43234112016799,37.392595398420255,35.3468665980161,37.94184248119382,35.31959620083356,37.86919907171543,37.602633338955314,38.754792778598265,36.053129379401,31.919183778294173,34.20610510713108,32.86475361297241,29.77444524534162,28.84208064772744,31.798251839817212,28.165101171622027,24.409197605083122,26.65888308520848,28.32440525690874,24.363474303842157,21.410684170009763,18.705352379463257,17.131273977835054,13.695805744883037,17.53895647490852,16.188737140826913,20.364831649244405,21.616953440402977,16.76989351152649,17.09459895164805,15.39293591886926,18.330190418188753,22.599848495375404,24.548438823489743,28.399304049516715,28.5905445723508,29.222994875690564,34.44167491732982,35.89787448047539,38.666239976522796,33.91927396116435,32.96825745456502,36.808736119830385,35.09984011831005,31.222006747471987,34.02654429222333,37.905188678132646,38.88237381433243,40.69143563969598,42.60602475365089],[24.17014330834505,22.380234862365167,22.52066156015102,20.760860605307844,24.037580983216053,27.677839027254528,30.28700897430888,34.57004454933155,35.00768413948201,36.242736070584805,39.48877241623553,42.075404654819124,40.89369631838849,39.328437941675304,44.520572620977774,45.51436026597379,42.81993044735021,46.76812996237284,47.36989879219331,49.59796023566612,52.08132640932923,54.80356557506781,55.106226983271625,52.94179946793835,50.77825351655678,47.58690981025942,45.78707613529248,43.347083351321615,45.77993775901249,46.37937946333447,50.75472214732985,50.066129852028354,54.0807445345828,57.311990595164296,54.29131001469679,51.793426989191595,50.45166572419494,49.303632278317764,47.62298383883392,52.30137168800158,48.30156196872453,50.69993319127168,54.5759455037352,52.75003254570315,52.615903871715616,50.1154552331856,53.99459169125394,55.10447289492231,50.506705686642256,52.911934681872445,57.24742784077594,57.77281990953518,60.46754257656246,54.961083551593546,58.83155967337812,62.54514497325799,59.38090326186268,57.96603278873918,62.74065747840956,63.56844670382723,60.3058530373459,63.01301336898864,62.30571001120675,63.455499655245056,60.105013930766155,57.25651042852662,55.00124128073012,52.923449312774174,50.161776389442586,49.083658737229115,47.833234214889764,50.29305014643267,52.62394209515414,55.173083649159956,55.03818978891513,61.23325720193487,59.188091718829185,62.497028945627754,60.58617077224756,60.586247627567474,58.487962509083715,56.79539267109834,54.855643711836294,53.617636142483896,50.40094274652402,50.89367119510035,53.26191212877604,55.12649413760437,55.22753689035527,59.404346814887525,57.389075295258905,60.72199097934537,57.68462524737099,56.004705861429535,51.30325090411459,52.13281781876022,47.79462177621231,50.01918164276993,47.38876889535034,48.88964567279919,49.64461555101552,47.458008124942516,48.688629949183124,45.21779452769974,45.91170634119542,41.043364582381336,42.096016356582034,39.24239517643489,35.284809497065204,37.69358135243488,33.631283755484354,35.325024169739805,34.07052623433992,33.715687401367155,36.061659161386814,34.75194349629517,38.49773277834805,37.29114364472765,42.69767323127419,42.79497417217046,39.82331079102979,37.63920274996285,33.48850649713933,32.02608869595574,30.719624963413644,29.845827112957046,28.66498871109122,31.255269255576327,32.13667509124426,36.8575538578364,33.105518499620686,37.03277959253409,37.770640926839754,40.894266649481715,36.301439062114305,34.16514156707876,29.170217898205102,30.40837163282763,30.03990478556344,34.09840767108488,34.692263541591835,39.417499383417386,40.62991603334078,38.61558414621888,41.93650585294767,42.38888555504047,39.23489354494665,39.76151996495337,39.02600616303191,37.582212909922575,38.36484906792734,39.43992671666411,42.83769114333352,43.54967132155258,45.71602239597374,45.538351371793524,43.61266309490403,42.86161136443534,43.88489540123273,41.325084248165695,39.77307705558536,43.48638859308254,39.53028351581045,43.98037826387514,41.669422775877116,37.460062846146656,38.303612514362456,37.61311919285784,34.033054685055575,32.6080819981094,34.00523740360649,35.023334710508635,39.80877800250245,42.345092984359916,44.963564250281344,46.77535706895169,47.10977489254119,51.524934563067745,49.80641598025835,49.67614307364449,46.18744276147531,43.03950301081906,44.913193846864885,46.062246746891454,44.02307432792011,48.31715003937832,48.83995875730421,51.44864679655984,47.399920129078545,48.25192276455054,46.56803860646974,44.78342518008824,41.82697386894185,39.26467907188059,38.82353755743069,37.29653618833312,33.17960094226324,34.081219365140825,30.659839132544484,32.467192665789746,32.75977129067893,34.01732160042039,31.014766424676917,28.055720780899755,30.94773373288433,29.55403261143596,23.660204822676633,26.046861955794174,30.507780623443626,25.611666655686776,23.40141241593864,26.364371564149938,27.128716741657744,22.531159651753256,22.38296311948345,20.482460705327277,25.567343808735203,21.04435856317859,24.467310065599612,27.845402319936188,30.93271234471341,34.043005207338055,35.86883390423036,38.84082032893307,38.621801749979014,41.69816646885312,40.89305098368357,43.435941511127695,40.224334506620046,35.79706002976324,39.6732406532205,40.52362451156137,35.749385074871995,35.31148284353301,38.31295456207159,35.27327996970697,31.2982380297433,33.29672299548276,31.189970971359685,36.71181492929331,38.95916486799103,38.42424938177795,42.25206245107971,44.75885492815869,44.03943277584604,39.352894130646774,40.361507055942084,42.806938724799984,38.99612792752761,35.90402362227275,38.60888929451331,37.91372413109236,33.639279385540576,36.190796508945496,37.668410473048695,34.12576725768504,32.56250331435358,35.460640415866585,33.337363372162635,36.41749879506424,36.51046597270014,38.251707765936686,35.18618673187285,30.904812359817694,34.06814577299423,32.96401966245922,29.530908326047857,29.142786996978025,32.88116525918361,29.17878680597495,25.14617666646313,28.203772197840163,30.397132204694046,26.334996629266133,23.180625436551427,19.53401428802094,19.23233661601548,14.818742649821038,17.27908377017916,14.782933772095516,18.921498929686496,18.973867597747578,14.310362143901896,15.990166412545964,15.768962581720402,19.036274384459823,22.824706179049944,23.993721477277116,28.271233086023297,27.637467008821158,27.3717946088196,32.71359946543755,33.89633442991168,36.34762670522824,31.429321574224385,30.13927448621709,33.57012458232289,31.847597224428856,27.5671731826958,30.23623175350045,33.897749850394746,34.8580253008505,36.696925541800155,38.60751388401284],[25.72261924750368,23.45875884344393,22.708279156363368,20.04281458582626,22.433712250453958,26.723428926719308,28.63968800123306,33.14755410012371,33.46742154322868,34.00717409558305,37.352606493024474,40.2393248224083,38.36157762371227,36.66955896710418,41.82857543475591,42.72083115841799,39.592583286463785,43.26145975421425,43.3789730926532,45.60735995935816,47.82402649315402,50.41457200818077,50.54360371466153,48.18894721380272,46.18498629175722,43.166046089853346,41.57629521535808,39.44914165694816,42.24099071122696,43.27523040971202,47.71041820456811,47.35211215969073,51.496951324836715,54.38669767333048,51.21893112484303,48.409745666990496,47.312245697393536,45.58677233845382,43.721410684748335,48.3159862209595,44.01386445675303,46.422985130047856,50.225692754193915,48.198609003532084,47.80511283500439,45.21637441159848,49.013920207201025,50.35736874759931,45.88708824497733,48.141833786479204,52.59624227259106,53.254892919075175,56.009884243470786,50.663888849780015,54.733862758600765,58.23918338532261,54.925365797209764,53.79571555473821,58.60895718927662,59.11500892227243,55.938808357453055,58.84031377377152,58.357985261269086,59.22247856542644,55.77055977931539,53.1655967499166,50.91641058901394,49.1532779951264,46.3289238811818,45.647063780662776,44.25787843657995,46.77137428146676,49.17875642706239,51.3979791570323,51.51813390539194,57.639185751678504,55.45832963274919,58.991578318426754,56.98752722566589,56.801202533171555,54.96574894176502,53.0996424177681,51.59270759869318,50.19077763375095,46.731763073838394,47.39298531675939,49.53050950141129,51.803760513684004,51.62223906431449,56.141007708442274,54.07350995461092,57.455982209994524,54.64637089006285,53.25305061524554,48.6342675292237,49.69642429335155,45.41659582202305,47.748959585108196,45.36768641391982,47.38538805450994,47.494845123620124,45.68453675209419,46.31001651939147,43.162133451170774,43.51610054767201,38.85207074054335,40.2408552683738,37.2723015473715,33.596211781850734,36.048220543067444,31.998535130316668,32.989335206151175,31.84353863292872,30.808463449626814,33.01791391966441,31.22416512538389,34.763848481258464,33.10192980953649,38.49981097776578,39.06300383279018,36.142989807489315,34.28928348305065,29.865456289096283,28.779540558123728,28.04173518760229,26.8422151510951,26.718760685910457,28.730758567087253,29.843283995278554,34.352237839632956,30.58108005518163,34.67763740598735,34.80337996180265,38.11496305693258,33.08481423847897,30.918658817536326,25.919981100272853,26.664601679853405,25.967537494015097,30.017675600773273,30.04045950731772,34.6706016339265,36.179948724008284,34.445513138486206,37.817650642173334,38.69375809883259,35.645619914608005,36.68725466321359,36.32648410266019,35.353275534446105,36.653521922927965,38.091591985065925,41.833024790833264,43.05901829899719,44.69167743670485,44.119334566122234,41.75725779819241,41.00885834604345,41.47983661750708,38.923772621429244,36.71061757948837,40.100963828708736,35.70521163405198,40.12838911947945,37.57581646816461,33.03479775694968,34.166192707252996,33.186497310132836,29.887167079017445,28.34717827788336,30.10954435665646,31.119308054973637,36.11641277669658,38.91455516316602,41.687319281024514,43.88317683301685,44.198275349922056,48.710759094433826,46.56676812524403,46.625464601618695,42.7443687066308,40.150282139565995,41.76727214016436,42.68265012762812,40.41324032673452,44.38735152813195,44.75985093696485,47.160595423433236,42.827183794413735,43.87910159625442,42.24537252041196,40.70418622574309,37.953933898094604,35.67842545770263,35.602220273349715,34.4640738035402,30.493286716386983,32.010649202121776,29.10374554442339,31.053770582082993,32.113788619481944,33.49769191332903,30.155489707950128,27.70052767760884,31.1929751926079,29.721523551178674,23.711543741852733,26.8626808658542,31.610677758001067,26.601457126652296,24.907896290347402,28.364376516395076,28.86586962026344,24.388879310617696,25.067709537892796,22.795044479907048,28.365703381898726,23.40024652793157,26.280983653488647,30.075134691464633,32.92967137741231,36.57189517168699,37.7926283758833,40.43854114438621,39.667459421912255,42.39042523908734,41.10868611200573,43.50347068345346,40.65622724839473,35.793194936843975,39.26262148084723,40.205901566117966,35.42812219664506,34.51528251863852,37.08176034339259,34.33506514711202,30.48131430904858,31.50632382114387,30.149530381531825,35.365118041954304,38.001322051780534,38.09177002588396,41.811876856122616,44.82038127165982,43.66196228592449,38.93553517917912,40.727865481976984,43.047398574338175,38.88529904299304,36.299763515774394,39.44930397595333,38.7353529182726,34.5608460194934,37.586399792812315,39.274089993958526,35.73056596282844,34.49436448328856,37.58369484790797,35.24737935771023,37.97759270846049,37.45033933050113,39.29267341459391,36.83606918535466,32.080113906239866,34.7566898801569,34.160757355350455,30.87755695907955,29.57375212685807,33.50928896718565,30.434087722686883,25.905868882237943,28.15436428100519,30.895993450818388,27.305647637383757,23.795340759465013,20.135826421735825,20.228526120195603,16.008220967700044,19.564265790115503,16.414029397159194,20.00520496407286,19.806341845986136,15.016972864960996,15.878203472218367,15.457353362370284,17.980847099947034,22.283273948628175,22.702576000251096,26.723010829357776,25.76445610303722,26.56589194805893,31.927621013894246,33.69973708312023,35.80132964670158,30.726425006216342,30.295817559061593,33.82005735306289,31.326657704939436,27.756035513510515,31.117382474715,34.684212426788946,35.42000921904194,37.07968920008603,39.16777593060015],[25.906641506388734,24.35793105928399,24.754798778538134,21.26280278318277,24.842959278440375,27.732625722658376,29.624378149872836,34.10852384382193,33.51483040500128,33.98369909503469,36.92955678698847,40.131624327962705,38.70222881218962,36.28126240816218,41.460815850784385,42.86895045480281,39.91701809765114,43.463832318971,43.521982167377274,46.331423147428126,48.40976981403375,51.47560327574204,51.307434473241045,49.03884051156281,47.34934223438067,43.965168306590485,42.76697061688543,40.37914516627325,43.04368616258323,44.156268403146754,47.77157968590125,48.00190782481066,51.862099338055465,54.792887243144726,52.02180250144764,49.214005239953295,48.61564375950215,47.05185117579766,45.547767094353624,50.6934932645441,46.17399385485707,47.923191858744666,51.95255804384751,50.22511646497534,49.74507624102515,47.51730830606002,51.39159049971299,52.68076601779278,48.55937195573018,51.20677991654208,55.528922592918605,56.34903867665887,58.872307514039484,53.35122659357713,57.520302161909896,60.76575814559159,57.156933370670686,55.90790315318234,60.67157122359972,61.09703626537021,57.44035393077217,59.975470300398314,59.2219620521819,59.86778817674573,56.65794561899821,54.07656897400311,51.131564081197766,49.292449987498856,45.95411601616033,45.01339397233129,43.33361439944889,45.37616913074453,48.19968543028562,50.753015983996875,51.25277033559281,57.46461790335422,55.88778842987859,59.45559615903178,57.902152813729636,58.163321429680344,56.63247780175757,55.22555127090494,53.867065976221184,52.94860201974392,49.39421980341295,49.49046457370239,51.180990721066856,53.330881975129195,52.604332642890625,56.843669411293874,54.327145981372425,57.27441969013012,54.33235074974139,53.01565682012357,48.38147429740951,48.977456373484785,44.68409685380857,47.73226977246631,45.55878044481717,47.821215399193186,48.41620413029311,47.217479209631804,48.069703228602336,45.45975647985461,46.560065733510164,41.8994898147224,43.777065975398344,41.251976966465215,37.382987374294096,39.256733972291016,34.79820397474815,35.48212612674815,33.49260316249254,32.55298425043968,33.864836409275775,32.13900082464471,35.42688671678912,33.76942772048395,38.60520220446702,39.10101679676732,35.85259366928159,34.081322726932534,29.926593936621842,29.21356766043961,28.71523651755122,28.686727421386482,29.004227693047305,31.570473321329242,33.295359094969356,37.982357446082155,34.901154182320184,39.26519969809308,39.337292809006975,42.182986170217774,37.08072512044161,34.28641752890189,29.826396702851593,29.683710229183024,28.259041161904907,32.180413706095315,31.743120649123938,36.490318967085514,37.55545020283437,36.012413991950496,39.65749690305535,40.2000854029291,37.169767194068534,38.12560610975588,38.118931537077316,36.638280323568,38.33432621865522,38.99378878450272,43.013340623072196,43.50212272783235,45.04877512930456,44.98800364800682,42.65987990466209,42.570050044057865,42.858429828206106,41.149916892456815,39.212181155821995,42.1265220515059,38.0198428995657,42.6425620751611,40.726680430073415,36.24126913780751,38.06176336287418,37.35993010789799,34.35760228699239,32.20053934914163,34.019570457408214,34.34338052007502,39.36370632773101,41.95268335919737,44.36795323233024,46.495064568276405,46.15708084347603,51.07042443549323,49.17857348500198,49.617551247018056,46.00382683903635,43.43981598334463,45.67582971741828,46.84805630355722,44.2956821202,47.88115362925318,47.69284892524358,50.491253488004304,46.06367161947965,47.64414213664573,46.40253971259674,44.76692484814632,42.493432725633376,40.35941919464476,40.54447515449668,39.76511042286961,35.5703390249538,37.188558480650066,34.23474624511377,35.56674350299858,36.882935368236694,37.62933009652629,34.09083376164591,32.163461128660195,35.4174935229,33.233997281784,27.533314218199184,30.875315244222346,34.97767262163013,29.373535656973857,27.952746978875492,31.233390094411124,30.9594827807669,26.285298939193503,27.401004948192462,25.86849178606388,31.399712803712347,27.70658078132804,30.567298547185178,34.12661910611022,37.602913654783606,40.84475140875477,42.674048706991705,45.215685265176,44.65668457449173,47.4478662573921,46.03392286854481,48.83739915234208,46.113899250533905,41.107040022742424,44.64570327775709,46.00725973767244,41.255581128590656,40.17530447307967,42.91245676826762,40.49984124988228,36.49482364096386,37.25186006114214,35.57425460209055,40.39186458980979,43.128560016344075,42.88741817928421,46.33427585867005,49.10830108666394,47.65436187302606,43.12014860708357,44.69465270051874,46.572607230638134,42.284826737363225,39.85692647787616,42.54540876953326,41.392042449505844,37.3812672326881,40.69358250711087,41.840368771616724,37.819209931592106,37.17187953520894,40.50693161639905,38.64538835607647,41.759037794973864,41.47466502028559,43.75109687573136,41.075695941797676,36.26699457131912,39.49582177125027,39.06997209056044,35.611830291662066,34.645183623253345,38.981250719526514,35.851385301459146,31.274597372747312,33.89682784172425,36.82958508654785,33.15153063334421,29.639438386401054,25.63485154359145,26.109673838338576,21.58394375939002,24.337713626540744,20.77109426274683,24.173426316170136,22.905520835621225,18.56398959592428,20.333531819927124,20.8566177343478,23.373862494390792,27.332057353010054,26.94212850693327,31.086782375935844,29.23074833453491,29.614958784293467,34.96561671007942,36.66201873534069,38.202432538486974,32.95952943149654,32.55542533641152,35.52141617546376,32.63496581298967,29.0279951076353,32.43407894110894,35.56402305557012,36.11645592818222,37.65376696214853,39.75712032092234],[29.601820805186225,28.063496425086132,28.372596911259997,24.904894862395263,28.235526749812163,31.3450094551297,33.0934717824261,37.6181675094325,36.96616128725164,37.20839889572372,40.12875301414222,43.45744331319038,41.82151416715082,39.27236588940039,44.413132350024824,45.8361835657148,42.69531434298131,46.044424569823065,45.749420269834424,48.62809806497638,50.4622202973816,53.4517778710295,53.082511748280666,50.62519629459191,49.15430417898626,45.916444399445155,44.94648656127782,42.79159733534981,45.671143636838295,47.028123834474336,50.58418283827842,51.03284584274785,54.91639360558787,57.684883607495415,54.879671191998824,51.91033233267522,51.46993927994532,49.58202776420567,47.96150373958013,52.999574002226446,48.280232452757225,50.03752984893212,53.99117123434329,52.07885113305725,51.32652234785171,48.97979633416886,52.71652496328138,54.29882936552738,50.2965833585903,52.68510807029313,57.15214338672909,58.06930534522602,60.69275189547665,55.36676956353174,59.67136060562848,62.76780427561955,59.063058791792116,58.071028388397714,62.853286357278776,63.0049253758665,59.43969030452732,62.11497338064033,61.51907391002374,61.91090995671467,58.648542499817125,56.284032272791144,53.26258249300762,51.661205595536615,48.189570723406305,47.47955162074655,45.63798228896991,47.565313610625196,50.56000507987784,52.94938963382014,53.7160106368718,59.87532908843003,58.304868516421784,62.01529809068754,60.44891283608158,60.60976743459645,59.253571423151264,57.72757714070608,56.61503123431772,55.56162306389018,51.8890524757748,52.132675895054334,53.68798024036285,56.07634952476505,55.16708918474589,59.57762057327845,56.99140313953216,59.89436589770068,57.06895863437453,55.91703415025551,51.3348198526754,51.95690264854995,47.702855646094015,50.889156086782315,48.83385160845024,51.26489523281843,51.681711429419536,50.60249964892702,51.251006022618604,48.71797795282382,49.60976403552617,45.024786237112494,46.89803638847694,44.235403703844355,40.49119607861468,42.50162778125422,38.12091599283602,38.65409247479184,36.76962958540557,35.57740031214094,36.81303255106468,34.8419277603047,37.958266633911265,35.972584558162104,40.67744841578615,41.5274975233381,38.27550347605755,36.74875486189533,32.495693417366454,32.06000679914534,31.850081881874686,31.68787607418005,32.32847016476255,34.64834772088124,36.33255791249478,40.899385930296724,37.63047886250386,41.94066841068906,41.797248267473286,44.86883905969149,39.61468786237956,36.97211016431049,32.415663440548855,32.198985812543214,30.652370673900723,34.53739868457433,33.62340243803575,38.230328436184806,39.569093801150956,38.28143352186161,41.943278800730106,42.77558263862966,39.82643661129284,41.05286801539938,41.2040624247246,39.91375710169225,41.74633181703898,42.50921159644235,46.5911249014356,47.15615763722267,48.60420781735663,48.47470700601932,46.03407924380712,45.94047674704794,46.051898156703054,44.310597075450566,42.08708769662853,44.864660534024786,40.501087167815356,45.06394125727808,42.90145483803439,38.16910975731562,40.04068206610799,38.9795565088316,36.147000401139884,34.151651130832924,36.208849003883664,36.68497191027205,41.80095738921383,44.56323080748561,47.100152435597444,49.41115108827458,49.118183319230646,54.03385605746152,51.9218832117662,52.40126949079356,48.55164232919684,46.26281949649304,48.22936496032528,49.193447590652234,46.60628010951246,50.06148943877548,49.87506311438552,52.40855928952911,47.75707499499902,49.378038677396304,48.04249175130697,46.68178368316512,44.39201748163386,42.41467041982156,42.6917318206579,41.91801271131284,37.93241626617772,39.69564049314374,36.88621675868282,38.504421433102685,39.80569542113063,40.80024433215803,37.289788990658074,35.21323037486842,38.56063988312017,36.595233195813144,30.784376069234167,34.03461061608047,38.32871629752136,32.857502736864724,31.30304488546408,34.557669515164974,34.49146461716423,29.80636437160558,30.66473777625014,29.028665660570468,34.45340323947259,30.34210615486321,33.42060775996784,36.98176295124988,40.20477698806853,43.454558688800546,45.16832928744277,47.91309088533555,47.36824997659673,50.18874811916275,48.896685337221044,51.47797456290562,48.62611574374159,43.75434731332885,47.265950763637626,48.32498212815068,43.5478265928912,42.597951344730056,45.16195063051519,42.47117504159851,38.63155512904492,39.48265744529934,38.133543226673794,43.121555398189045,45.860025970235114,45.81701536080399,49.377327978658066,52.254783545700555,50.88716374063591,46.28501436532511,47.94317036229447,49.95626511933886,45.68860276898235,43.21924006286179,46.0092645293399,44.94586551456849,40.88805915038297,44.09461855843976,45.33660007631082,41.39004321872618,40.57820570986926,43.82168463533926,41.864923021102534,44.9305504741002,44.65370198352284,46.74399411100657,44.03797753546669,39.33394588510452,42.393946476261135,41.781032010486136,38.37743037895899,37.38331331552113,41.43233784743882,38.15895474076797,33.749204133461916,36.22946436158076,38.8701282986968,35.09040206754125,31.708865210805563,28.002519468186147,27.890353851074195,23.594162311170443,26.641924775799616,23.541168413383264,27.18760863294973,26.281078251315392,21.765796996850728,23.308506484949692,23.385591956443296,25.937215987493232,30.105601603203585,29.988812424384957,34.055811407577906,32.38358674917139,33.02544546429842,38.387356637555094,40.14915757092415,41.754736558679404,36.5151110711408,36.16583586244022,39.204242034112696,36.29055396610543,32.73439513030044,36.136194726258424,39.29754844775148,39.83464660019022,41.343800678129476,43.42837202068038],[32.19537877161021,30.372479476764266,30.09778265255915,26.136511154419104,28.73185763979335,32.17886812282414,33.327864715517265,37.926909666162175,37.134091753298684,36.74600363414575,39.65945676487784,43.233378921569376,41.023116863980796,38.32285626913421,43.34318167936592,44.700267214553094,41.1946763713564,44.183602466871015,43.349062500609755,46.26994156639462,47.75861811915804,50.62381428598801,50.011577715658596,47.35009449945454,46.14099618481747,43.10321907514893,42.44879824018695,40.64959127336764,43.853067586540035,45.640456585802724,49.125824000703076,49.94997915538826,53.88959975307579,56.30299148497372,53.41661385958114,50.16784106260602,50.022279831528294,47.58777801239724,45.82854237346871,50.7489577066622,45.74706636578572,47.42854758725314,51.27337355821277,49.17675452935534,48.106892062663995,45.7081070466317,49.296890949908665,51.15821031377929,47.386226490261926,49.576401784933815,54.1317015593442,55.20371756445944,57.86356155072933,52.76700657404486,57.25105554747346,60.074904536918076,56.2169266707286,55.54712091762967,60.32192605331998,60.10629429953293,56.6287005806126,59.46447380550457,59.09306962862907,59.142288093013036,55.81644160108866,53.75148623421523,50.679469133534575,49.437319137781394,45.859807182948934,45.56075479687904,43.54302027762832,45.42554481201352,48.544932311384244,50.59555989676493,51.69012887365219,57.7259195426933,56.09399763310011,60.01434091784844,58.40727114643755,58.411544999169145,57.36377603422561,55.70739120774365,55.049633742412155,53.87069507903669,49.999886312644286,50.376091379487534,51.641636447018755,54.40987771586723,53.1757099791733,57.868149278851824,55.20887990604137,58.08984928975406,55.5077342898693,54.66155119575036,50.20758452857901,51.00075606716136,46.85302360670608,50.17096904753602,48.38769913550715,51.262773773139536,51.13466885593075,50.432983136806854,50.55117915576009,48.36043434973571,48.96568398010855,44.6315713284645,46.76094521051271,44.048469210563454,40.60279922223244,42.605950080127116,38.31712444316944,38.24786708377057,36.45735619088338,34.69128478950439,35.67864234431452,33.27355960252075,36.057708818679,33.595642512927505,38.10111367529461,39.469114378999535,36.28265412303948,35.16644574766731,30.76448739315845,30.80392832764718,31.189955813606367,30.84234906565439,32.409837401240004,34.20207168333983,36.05311526706067,40.33162404632783,37.132845825225324,41.473986141469794,40.8053622619713,43.98173290808638,38.45011878835707,35.83426860780626,31.44962565752105,30.717659125613245,28.811731406690956,32.534472582888306,30.9050897633004,35.2862923265128,36.908191333221374,36.00524513899541,39.67824994942067,40.91781607272039,38.141766779136915,39.849728630546366,40.3789433095679,39.505465951046745,41.769165080435144,42.785317340023724,47.10106634142834,48.04570324066267,49.03796644624644,48.60354251597204,45.82335184282269,45.76836535922543,45.381175989541454,43.718903320989355,40.950349459808486,43.330436215761075,38.62946493090793,43.08614238863809,40.749556593528744,35.76467617314527,37.93939243705663,36.579236628670685,34.15500641296289,32.096754472033666,34.4778828055893,34.89845437768064,40.09817002280341,43.051549201332776,45.67466258934633,48.30898541243388,47.968569894298355,52.930160304430395,50.454564452961684,51.122665529393636,46.96402102099341,45.23904850807668,46.94459674407295,47.6698474655285,44.90363315810035,47.96238360967898,47.59818965814781,49.88025573804011,44.96811820033033,46.80938999097367,45.55170159461981,44.491022212160686,42.4619698841345,40.820445095378396,41.43310048973588,41.01313214410552,37.272539343414785,39.49018562851708,37.14581801321368,38.85729752166255,40.673481699873484,41.76672504997182,38.0845205223149,36.37713172336059,40.07207628504639,38.11356062089674,32.32689568678421,35.974743575806585,40.429605501671396,34.97652261327587,33.732782316476985,37.252750122340366,37.072790750105575,32.51365275759927,33.79442632947284,31.914545076284554,37.58124210665417,33.133068844813586,35.91527547117194,39.70730446060537,42.72645607958344,46.30637170961376,47.603497468772986,50.15826834255047,49.25332707350524,51.82103782518259,50.23198060441746,52.65454235654643,50.05656600536996,44.960996385598854,48.14818678103519,49.21146353506314,44.48648047845787,43.2456545310687,45.43135902757463,42.948411109277714,39.29066764518649,39.45491361272221,38.71493896443175,43.411993295596034,46.3886993941366,46.814273451751326,50.272737706877,53.49453808221126,51.83442625299628,47.24662031719342,49.44673757357364,51.37208150754864,46.899591338184344,44.80406262557952,47.885337783656034,46.8310602876335,42.8706023665467,46.34869499220544,47.742230093296854,43.83628611547945,43.20951376452996,46.54330062208597,44.43593710817939,47.24707704106446,46.56287599927825,48.675471790330576,46.381113711464906,41.423156789492225,44.113341336712686,43.804306407271596,40.53180425972725,38.971289515069856,43.05137349767847,40.184056571255745,35.55084607543377,37.469241039316984,40.3717482629088,36.91588591132599,33.39393549508357,29.800280355623674,29.818179430112558,25.750545186889713,29.359738276318577,26.040911616396023,29.37373146295948,28.40992636574789,23.925561841030284,24.94912270086973,24.859414169911062,26.879064121776292,31.240101529881354,30.668366806812152,34.423462059086816,32.55821624933726,33.96218442646683,39.2232718122921,41.38003288155542,42.712736602106546,37.44388458744444,37.710456939649404,40.77289554504683,37.34454594240297,34.36611673655273,38.18385905270446,41.243666631523155,41.612575553822424,42.96410799792326,45.14807829558551],[33.54405380904951,32.07816464782065,32.282663648711875,27.951329682584195,30.97301030607407,33.672457999929414,34.69016683689798,39.20148487821516,37.87034555776726,37.33122008340417,39.94062656015189,43.69835365684455,41.69304165432217,38.55578532001786,43.48095939474062,45.134871536574934,41.72589790188359,44.5266634066741,43.565962688569286,46.83719677360319,48.157553434023136,51.28409972780991,50.4407362422086,47.83398947456077,46.892599215261214,43.686068276400455,43.34719408114328,41.46509675123744,44.5934067172347,46.47868737658437,49.38977870140144,50.64644750741787,54.37782468002863,56.73216107325688,54.109964817134596,50.846519132576134,51.064662818274066,48.67165311333774,47.13833314025984,52.33574342633769,47.21304966371881,48.44414896663076,52.377510078278384,50.46988634355652,49.314338175515566,47.1732470699699,50.75302961200039,52.59176749298301,49.11154627499778,51.508348825747525,55.94558739961095,57.127250547212114,59.62294966231711,54.484367612964505,59.01794499458948,61.620049112088765,57.58172899634031,56.886021617874945,61.59161006647877,61.27344906390255,57.52349419380555,60.1233097105147,59.614684942482945,59.460258890380445,56.31145980998033,54.330746913661606,50.819936698555814,49.60674467444629,45.70814349522097,45.321711199700346,43.098787357770725,44.61921442000364,48.013766247422666,50.199438409822704,51.60401195449933,57.62165507992648,56.392090942050906,60.34052896328314,59.031944760872285,59.29817129248061,58.50115684779657,57.12586502386227,56.63008214093104,55.73951899757967,51.81619908991891,51.859452467732375,52.79281170011394,55.517767543119355,53.89685724823252,58.4167258443113,55.47680999473718,58.043588195319124,55.442849050698115,54.71376586896282,50.319752396874264,50.834928080460585,46.750016698730434,50.51199519406506,48.92926921077392,52.0040501175371,52.07847453455575,51.81314758596911,51.983406399966476,50.17868937073471,51.17425259537977,46.90644586377161,49.32533347864388,46.87142208307345,43.37194440077207,45.04569337440207,40.583822512284186,40.27508802887955,38.05123208255844,36.29085516565922,36.694857007051326,34.313476815328755,36.82638111294829,34.34157721028265,38.34629325877402,39.74195907512914,36.412395844039914,35.455242490463895,31.308793361425888,31.66511784210863,32.283727445789474,32.583654014817554,34.4715267924997,36.47096359632705,38.64314446007051,42.94936582321858,40.159688356157716,44.62129057322718,43.88687444868054,46.78609266599487,41.23605103057964,38.3016839551922,34.28542526720066,33.047681383563486,30.743262468759525,34.2820615192731,32.32753161910338,36.654469162852656,37.994660377728714,37.284684471354645,41.062798798439054,42.13441517237061,39.43842349115272,41.137867235830875,41.923623839273006,40.82878832581064,43.35390498889305,43.94937985392771,48.41376389510248,48.98174405105149,49.832215029919425,49.65506338957812,46.86889546695548,47.209413309952986,46.64168918276844,45.50709316062088,42.859167505548406,44.876485749696165,40.37053315756296,44.87372450727929,42.93097081152985,38.0325489571664,40.60665922524563,39.41551928003721,37.217111076797764,34.83334341665666,37.22464147158692,37.24209928842285,42.38881815221374,45.20599450427439,47.600827428800656,50.21100351297722,49.47730800701022,54.64320265821507,52.29068940614805,53.2051879277636,49.20340617403655,47.57359664258391,49.598243529345126,50.44696234892156,47.51879333322631,50.28085844835767,49.557284432143426,52.037743436014125,47.08944630465197,49.26132217827684,48.26437825159117,47.17758145005419,45.47132622349149,43.94663188578537,44.72539196658974,44.533206010072405,40.698300166779035,42.988511366536365,40.65640182541785,42.04413205725934,44.03645593695081,44.80206745299403,41.01618138420701,39.61995033314759,43.22072790185524,40.90815373457574,35.30921853490025,39.07724950914589,43.21197119344619,37.499906643821824,36.43901409876318,39.88489592415503,39.304420964871454,34.72347175993062,36.260262349688716,34.710229788016356,40.35834072878251,36.49509802797859,39.222453482125914,42.92674430837207,46.24022101358911,49.665367650145065,51.22585632119457,53.69153263547669,52.85198333328462,55.426362701898285,53.724884238797166,56.35899086563532,53.860872164675655,48.65129872874425,51.84293616202234,53.146907673275564,48.4353005941344,47.069764135453916,49.323239588097515,47.05014086419698,43.30866111221995,43.27763842920155,42.40303199902273,46.85601472346417,49.9062943799641,50.19855715031086,53.49169659344014,56.62044467847197,54.763091804040705,50.29357728301661,52.43711578574657,54.10433688773564,49.55387430180539,47.59956881145296,50.46169194169718,49.17787591966404,45.34152196755087,48.99144729967129,50.11291639772916,45.98416392006317,45.69792832439578,49.15793121987062,47.284901242113875,50.2540603410404,49.643895211325145,51.98989974715476,49.636861795054195,44.62076098830286,47.552126763483955,47.372899421612274,44.021665389332966,42.5660513008937,46.87359885990253,44.022377665171945,39.31721351141672,41.381785730928634,44.433078022585306,40.9601970820709,37.39620693331238,33.611730899292354,33.8643162708053,29.62940838768956,32.938498520534374,29.388521448734167,32.59580497029625,31.153462039537533,26.91361061219199,28.26289423752881,28.571588609490117,30.570256298038306,34.7787026462808,33.78758925074791,37.55666927054394,35.236592768577026,36.49119389461993,41.685600438215786,43.8343060130672,44.81916654662591,39.51165742078297,39.87275572471437,42.608753260211394,38.93658420579632,36.07693885376553,39.91909565171295,42.68530923638239,42.91720327806696,44.14968173234076,46.33341937520043],[38.06343265569487,36.520860613560664,36.47633003958511,31.93041134487958,34.50466134999443,37.31282938659913,37.91224418241621,42.397665894916315,40.8810746096095,39.84759607979468,42.32995063509045,46.278119275246944,43.894651386673104,40.560277856453084,45.278167300010566,46.940980438693465,43.27958007747984,45.64404925656322,44.10714079205729,47.483789655650945,48.36265512139406,51.38514139653953,50.20212423966746,47.390093149529875,46.85422640452112,43.88084412103435,43.97914570379306,42.47816738202377,45.86173877196812,48.148884397336396,50.80568905584914,52.50607581448126,56.19553007577746,58.19561592872488,55.593015012127815,52.09526329839826,52.67413946199024,49.79423025304981,48.18425648685331,53.243110725329785,47.86226758256242,48.910745204852866,52.69541573696223,50.63245265633609,49.09126883411369,46.94900806255876,50.28794329726627,52.46397155119725,49.33649564272926,51.471715668390246,55.967505598181745,57.323354453813735,59.832637151116025,55.00446763010726,59.69873928446097,61.95047990564506,57.74629233639835,57.415366066409405,62.061633536232414,61.313164923597085,57.63968879602633,60.340448013740904,60.04444896201485,59.45356654637925,56.31277830002486,54.70875000328406,51.04618808589894,50.2401694169545,46.16746501295802,46.1755702547013,43.72655787049605,45.025393443695364,48.622700020218474,50.48402948524786,52.33168246125508,58.16147845775873,57.011971166840006,61.14995637107822,59.89582892909879,60.065563898846094,59.639722280804335,58.196965536345964,58.17149445283872,57.20750630601491,53.125105849448595,53.25265456821458,53.831180350787974,56.89279565595796,54.881823245775614,59.59176009806888,56.52523175087006,58.94600923912954,56.595345496776226,56.19475431596635,51.977202635457196,52.54444186023157,48.616835105258254,52.5878986426399,51.29825539479214,54.739170914176356,54.433567568215956,54.552580962583754,54.3087797520138,52.84876955115729,53.641386196035235,49.615833880160295,52.21688580815404,49.74147201548489,46.495304647303534,48.15049407852029,43.793028058761614,43.03489738983128,40.86608706344484,38.68773081584396,38.77477422999696,36.06449215074077,38.14978209116736,35.23375321428173,38.79259799486485,40.71589126791898,37.46855755265258,36.97519674735519,32.861316645175066,33.71405238612676,34.854574978655684,35.10346179044257,37.668605660734194,39.2704885218578,41.541110793743584,45.57237908122955,42.851912629024284,47.270346008760825,46.12054374588976,49.098687111499714,43.38201161178054,40.523560857570715,36.71606358309054,35.07422094281885,32.476512199752406,35.74710498185658,33.051216601211905,37.00100363531959,38.58273502978372,38.337392327950255,42.0756353730541,43.50651704680015,41.03376522230521,43.13832917754378,44.273886816229606,43.49062535524217,46.34767320806655,47.04987254197131,51.66178778914212,52.4069222894881,52.91403965867277,52.57569673685735,49.56054961585004,49.998587406152126,49.01388017438606,48.03462983046367,44.980268257734714,46.570438316556704,41.841312592271706,46.17650704176037,44.11767306324856,39.04545098109574,41.88151465284899,40.375879003522456,38.62812512894386,36.27346502975115,38.92795429490138,38.89766090759993,44.03261854327165,46.98181005982855,49.407919918372066,52.27612889915532,51.45710385333646,56.644019184933185,53.99998519006282,55.10054632242432,50.8638872205288,49.763941378860956,51.537586304747684,52.14886823762607,49.0914151771596,51.42647975386797,50.509505205436874,52.694673450177426,47.5104422390905,49.90136979322964,48.98528325832825,48.250148462621674,46.80538132755191,45.622230598051026,46.67633274007416,46.7490873809381,43.19485883554054,45.79369688690651,43.813434083437805,45.30983009725849,47.585663668856235,48.45500685772702,44.60173923520731,43.39319932787008,47.17572014196422,44.91885044336769,39.34963268290312,43.26757481007976,47.501197992221826,41.83813826950259,40.89893478408416,44.44269656669078,43.84020857245973,39.32342035744684,40.98071180446036,39.31926298859458,45.030899562390005,40.92123073120334,43.58288185565226,47.380020090115224,50.52094291957155,54.09410754531824,55.4224255612719,57.86175722850278,56.8492407269863,59.2934413953353,57.471886774646926,59.942163011711365,57.551651698133384,52.28516753789416,55.27256570546579,56.47270411962666,51.80668907828195,50.32925676200212,52.286145221723636,50.05653664129968,46.51045239770583,46.10906798106741,45.704907576102535,49.99433753519258,53.17027543280026,53.78686034933962,57.030163896620486,60.37226981442727,58.36105731550228,53.91069268694692,56.36933674315085,57.999311645837295,53.35142575230947,51.612335337868195,54.628399396146676,53.3565254960335,49.583374868472255,53.3442850898085,54.54213530293313,50.44166174887114,50.22981859951888,53.71109268477341,51.75670728943317,54.59380955179926,53.786183272088564,56.09228162611683,53.938205153390925,48.8406524599416,51.53447734235637,51.452636176890316,48.19024895941653,46.45669145937598,50.66954056305176,47.98077415497388,43.24626356493432,44.97459726746258,48.03562142475037,44.704512871828136,41.145303001191735,37.54184173281138,37.64986391033705,33.627505541985535,37.23969659390705,33.757695904917455,36.8891311917647,35.51170490537427,31.27334209271755,32.34343397672167,32.45499672898923,34.19304910038118,38.50707282969481,37.3540347991146,40.88470694844785,38.499609704492016,40.220469601548444,45.30700713618214,47.676624700763625,48.47601162050007,43.19847127396189,43.911551127761975,46.62229113464646,42.66254005769322,40.16525899956896,44.184375249896846,46.85505965308702,46.96952755050839,48.07338335795453,50.286012022797586],[34.57526104653677,33.261378186877955,33.54316812561158,28.71228783547134,31.669955385258135,33.752975702697,34.31653116619781,38.68977751893089,36.82984457287651,35.861040215060555,38.154709856474895,42.12957572467516,40.074198420284176,36.53553867077333,41.25478892150867,43.12038462932408,39.706815835093046,42.18030879729437,40.965134620781555,44.53485421447851,45.61429246594289,48.9421772215596,47.85673771361708,45.308163894768384,44.65496007747083,41.34365739959972,41.372203746673385,39.516276409532004,42.62538063960944,44.72161407199239,47.05729990003254,48.82651159969908,52.359543949538704,54.5105029820902,52.117548043327034,48.778103720411075,49.43099030835387,46.9377164127468,45.611438800875185,51.018874162244835,45.766780857062784,46.510171282494646,50.480781190018504,48.76385905988886,47.51040829792194,45.673950024234365,49.2198130990376,51.008442130517615,47.89110945448689,50.50718855686933,54.76861373490769,56.07532578208842,58.36609154142336,53.23404983233835,57.81613198417985,60.12501804436095,55.90287784102641,55.225443000577634,59.82893444309444,59.36146528098698,55.36907317307775,57.748098808166894,57.15599580298245,56.752652151953704,53.77714918570864,51.939198043983396,48.042162240378254,46.948767967204006,42.77738347436432,42.43904074409195,40.011641484544434,41.21098698987489,44.834882153436546,47.0183113796747,48.76308674443042,54.68958161604408,53.80114434048967,57.80621993971555,56.76407044892277,57.23608123780383,56.76421437279774,55.64640778552755,55.4399945851319,54.82355961054937,50.82769923249287,50.55774213268418,51.07312331371787,53.83786618359733,51.768876541482605,56.1802206805267,52.98765552059467,55.26007109073352,52.74248058834968,52.228679870777576,47.972625736225346,48.32174240191735,44.37494796861354,48.52885258829001,47.25730772922627,50.68361504514908,50.688644547949586,50.99769919747533,50.9909303067626,49.72577720820484,51.00033720270372,46.947257174232,49.75735070414494,47.59990359830127,44.20736782772779,45.496363260033355,40.95968624748771,40.14765815367697,37.57127166752689,35.614487966388964,35.34797624648523,32.881603470079675,34.97505034702069,32.38385157455726,35.797595128553645,37.33214573338969,33.946309703605436,33.28979186594599,29.418688273857686,30.2391580175796,31.305436628769,32.15135471474389,34.70595750761475,36.647370508668104,39.19039641834842,43.348013085814856,41.0964658896739,45.655830583262095,44.67890807914071,47.240357080493965,41.654366032598354,38.40924866699968,34.94350479704358,33.00532262807632,30.225700351798842,33.43949213874788,31.036179357439085,35.19152217088663,36.251401018978044,35.82893281533485,39.65812692072357,40.64767256942299,38.12349314648443,39.94852465108703,41.11589525525722,39.9968986811376,42.92724945581787,43.24190222154478,47.90213324359751,48.33125200429997,48.801479345808794,48.69980790378426,45.779685509453074,46.50291315840214,45.55513971735728,44.983747175911795,42.29307671927762,43.78020774111123,39.44338521594311,43.90744902396608,42.387155344663604,37.62031341531118,40.679553425755856,39.69060461369361,37.862714548143224,35.09388164301641,37.51544750898376,37.048325948959864,42.07459387116098,44.75423038449451,46.8992931063225,49.55950134718838,48.416631228337536,53.75466067988052,51.43294325716274,52.65846952724984,48.77902823231242,47.44004267682141,49.72601082936043,50.65373414394526,47.51872176913372,49.8244893844716,48.666142882221486,51.31854284214294,46.3562376969393,48.92354079547938,48.27703960012193,47.18713090698046,45.950054774871184,44.651089092133795,45.71194758185929,45.92188553410899,42.07412941692185,44.5847164343764,42.48167738993799,43.487223827495065,45.9127714311385,46.326406810583286,42.384745035551624,41.557071054163096,45.191451351711436,42.51159625144779,37.220940789507814,41.30016420187646,45.12309213683793,39.228620360907854,38.57581500855389,42.0775384910028,41.01816100328486,36.578206857991134,38.65206329926877,37.289971892799315,43.03697603422959,39.67129547872619,42.0642468509924,45.79394667242742,49.32435796474488,52.79097363533034,54.37619046129717,56.543855378952784,55.547703146413475,57.951942969353624,55.93111247492954,58.751427143208836,56.56409487755992,51.09457624794566,54.0963887147595,55.75840153809052,51.12747314311263,49.43524670067122,51.607977302443594,49.78938468808172,46.017801380502185,45.39249652682698,44.587248991560266,48.53680898208491,51.761704725162105,52.107126878030286,55.115041763901665,58.29101392790896,56.05903202830019,51.77360959307384,54.12895133784146,55.44049930805677,50.73121643449242,49.16105031552963,51.933157120746834,50.42865390647165,46.82217392756886,50.791012450325304,51.71889375665844,47.437477968941565,47.62664805890606,51.255697104293695,49.54827885419529,52.496498550848194,51.70915518927124,54.33841007309089,52.209179424404994,46.988700240856566,49.96213891468086,50.15856221020427,46.81649416711856,45.15162073940182,49.771672381415456,47.2486442008383,42.315668324242715,44.240408204776834,47.68088910615725,44.4400564272195,40.726549843341054,36.750110589561935,37.515967910046115,33.20174717807602,36.42156580987217,32.42960885543326,35.21482263922752,33.23610923152758,29.378709756375592,30.755381103614337,31.460851583880572,33.109980591951725,37.13893566027822,35.436625964782394,39.00925306378905,36.13671523841344,37.57171902278859,42.55611776910475,44.87404363111239,45.346077584041865,40.066865611242584,40.85322881251233,43.24661203580279,39.11588315264618,36.751244385256335,40.79937382412291,43.195463264147676,43.20475831624183,44.224869930279546,46.45100227277823],[31.25868980488778,29.62567057840005,29.540407782971005,24.920555219748557,27.66092989797758,30.339471359582003,31.093756024760957,35.602876425561625,34.23925105824851,33.51418671504291,36.15455688583831,39.947111408942284,37.78024090902735,34.6676489526223,39.584428680204965,41.183595108232495,37.725119537921906,40.53093184414904,39.6151005026879,42.853662526345836,44.24487307173078,47.39468376695095,46.632359620155,44.098624476311535,43.05388257176392,39.78411529601117,39.379403769860254,37.44980459447435,40.56925268209218,42.47017286243035,45.423725277780875,46.675863038190165,50.432373342777254,52.751749896976925,50.10055609238919,46.82676655491488,47.050706325190404,44.65878109158635,43.156947073874946,48.41605372152983,43.3212764027135,44.510223129140414,48.48054396286296,46.6534540856962,45.60938150667221,43.555639794454336,47.22143586733331,48.90458307146488,45.40660555807547,47.97997531795539,52.326342874419694,53.49029530016489,55.90940273422267,50.67575024614307,55.18038813040286,57.799565164575185,53.76858461317921,52.979629592329296,57.678446090434626,57.44781164271577,53.642534291643926,56.20165010235122,55.65561184556386,55.58537937606815,52.43490713067616,50.38149436721336,46.91631359193912,45.65218348856326,41.81700112935488,41.43104677153553,39.26337989971857,40.908119473589835,44.20718403796897,46.37669988957542,47.685892072423655,53.71769602351519,52.42471689729482,56.35945139264869,55.02579262051442,55.30008542241798,54.48845411555122,53.15045596978764,52.6585430958585,51.82900380049754,47.90589277500308,47.877160013851935,48.78923381469324,51.498716178647754,49.88109012548326,54.40842654581031,51.49703558013711,54.11970873740562,51.53091110472817,50.80532227795059,46.416547997687914,47.020242264880665,42.942396531254836,46.643400514884206,45.09897937358017,48.27618972160238,48.19199935782296,48.02668964113374,48.081362350214285,46.399827117882666,47.42719152361955,43.23638680150458,45.8061712793501,43.46143248756844,40.02845209487515,41.56170635839628,37.09454694052845,36.55772349315807,34.28653023720992,32.40941760217905,32.723403843587285,30.30141893017285,32.799026976192955,30.341535375774438,34.40899666941907,35.75315175444688,32.43801760040612,31.473229740545257,27.292829017407392,27.684648767857347,28.417434529474757,28.749829735222175,30.930141595254295,32.830620762998336,35.14579400712134,39.38516787222211,36.830465914990825,41.35214175927129,40.52599196219951,43.25791757298315,37.699098429999395,34.62325681404712,30.818998923088593,29.317114144615807,26.88377319830347,30.373325930178424,28.459960979728212,32.85146469777602,34.066038955208796,33.31166753603305,37.105712762720756,38.12472735672791,35.43675398503586,37.16445736683383,38.02898664625426,37.0035314334672,39.66365171451284,40.31711375181176,44.856783195305034,45.58921707613003,46.25658593615371,45.95684435511192,43.073247408836934,43.43674351522285,42.7405604840342,41.68428474806709,38.987582701473386,40.906756031988245,36.446491699370206,40.96600544333063,39.17331128914635,34.36843466654811,37.082623114277084,36.09587227225583,33.95354344072539,31.351451370632596,33.69529367814138,33.513611059961725,38.62450340193774,41.38286147867084,43.70877979523621,46.328274899094524,45.52226516040557,50.71829988255021,48.37151035179132,49.35380703492434,45.40608038452654,43.827520118278926,45.9709939624302,46.89312481669698,43.89565250162761,46.569826436735546,45.741336775592956,48.364427885403295,43.48877436060138,45.751395154117745,44.89545267382925,43.68563291849861,42.14151306611977,40.64653911229266,41.524094938099935,41.52709686181414,37.63404861596856,40.03683103426851,37.843720182778746,39.01076012672173,41.30291294343962,41.89538492417203,38.005666862732944,36.96999401616094,40.662112552832774,38.17880676472999,32.741095320928196,36.78242892884726,40.81201783117996,35.05078089428112,34.29485551588034,37.8806294048148,37.07257573027109,32.627748655490855,34.596344127876215,33.00258594564451,38.81660534087521,35.12916409548842,37.49400947016797,41.29780075011922,44.6903348961979,48.27317317121924,49.7012775935394,51.87527887172568,50.8285982768019,53.22902540157907,51.261961167336125,54.000897217617656,51.76459711917441,46.333269331989904,49.35903300721989,50.93932282544752,46.2946216854591,44.6573294894786,46.859723621831634,44.96351517693778,41.178937161803006,40.6880487322019,39.84817147343674,43.95991738836924,47.1312198625513,47.50166117934208,50.62147651602001,53.83562650498048,51.74453275637368,47.36329372155913,49.729388358481565,51.219378674750494,46.55453362460825,44.862737466009904,47.78836818481749,46.44045794747077,42.724769900567225,46.59822314521896,47.72203764838683,43.58403098265735,43.54138996373986,47.10679507453192,45.23673138751096,48.08430854588534,47.24044787227509,49.74920808893576,47.664373331987406,42.44601718015001,45.29906000092589,45.451605130680576,42.14455492202539,40.409044156585736,44.96229475481701,42.466557247488296,37.52397268523845,39.39609013986745,42.82977871181239,39.62937041171769,35.89723187319566,31.949652699536884,32.751558398753176,28.475267784269064,31.824824358521383,27.834701731823515,30.631228758039995,28.88129079368743,24.875923699135747,26.079679681652877,26.653532956579248,28.300803112947197,32.39492359070482,30.90071299981266,34.52681855520256,31.925892993246087,33.403605382979954,38.49002243975575,40.80231578574916,41.56036139220788,36.26262914778801,36.948849030179346,39.615648457837636,35.67433889407209,33.152407579860856,37.21933058115624,39.87921573060909,40.015786121228246,41.16928207833016,43.41744576220017],[36.18946287528965,34.26876463301411,33.586720313616745,28.93864132225449,30.78560741495081,34.05327083930929,34.30775929106251,38.81587416846799,37.5395797959681,36.22631629506412,38.8807500862176,42.81115676968771,39.98772089244071,36.89032920946182,41.5782035393059,42.99021867365566,39.10948836624463,41.43105036973653,39.78688111753404,42.94116558807675,43.83495841682474,46.67092643529401,45.592975459735015,42.72071286677468,42.05030994029776,39.20808988962706,39.20354363106411,37.86907060780279,41.41030210581991,43.81519870351665,46.80208325928862,48.38204074878097,52.219394605253875,54.09010547187858,51.28715473170625,47.69323505695363,48.17779375122238,45.0693092407597,43.30308838511879,48.19745947767611,42.800941197083304,44.04165466067878,47.76108394615976,45.580025005569354,44.04940418401465,41.80523415716485,45.169594032024335,47.34317272036273,44.12601365927805,46.213083190056935,50.73905066496627,52.073776022487884,54.62820277215156,49.834884773722635,54.54147075891417,56.83045479500001,52.67581361848865,52.40670481121941,57.08417879256973,56.32943241652527,52.80182283575031,55.67033679956853,55.50923614407091,54.97952927199319,51.70641525039721,50.110085314257724,46.726338561066186,46.0054195284916,42.14051918955862,42.36781988530449,40.02230067542742,41.62094784148999,45.015300861617895,46.64683184204886,48.353530711476395,54.15079455472803,52.68738452742784,56.87090755675321,55.40709471312997,55.37017241284131,54.90449001254066,53.28416887023799,53.3416380213136,52.2178009656205,48.09836701791805,48.40805061365993,49.046248383184086,52.25956082226621,50.356414644981626,55.269595988077064,52.370572113633756,55.01057464450957,52.77445123051,52.420274266599634,48.23355074058753,49.09566944358204,45.19223769831242,48.88542799356663,47.615051865600954,51.16195903739972,50.42330489548009,50.508420841060826,49.953443566213885,48.50719707839091,49.000258546330606,45.11537112006113,47.75333742602854,45.2235190637139,42.19027880221909,43.897652459296644,39.69874466961715,38.67865270891392,36.76781821661857,34.2923661148027,34.53301320547753,31.619504788328932,33.6846716892211,30.604424238009738,34.402940498213894,36.4871655989672,33.37998327463868,32.96846939655462,28.65484106385169,29.557115222332435,30.890774189743624,30.72796640374942,33.67257984155824,34.86618559002217,37.114563082545025,40.93284071121823,38.228718431097995,42.60614293455092,41.22777036273153,44.241026150744595,38.45806104954155,35.6930409075535,31.96779619492996,30.188352101868194,27.572275022520444,30.7951503648536,27.985909381544943,31.89952281024325,33.670320783540966,33.454932426688366,37.135239246377026,38.787239920287874,36.362080289663474,38.67833904980645,39.87361866241568,39.43450163267523,42.38589789258852,43.45293742301769,48.08940015974885,49.2966798846279,49.58586186219929,48.90214986226501,45.71130864682465,45.95602072034022,44.79498289445441,43.61774854206219,40.26779047939803,41.81482576943462,36.89747880722836,41.15536002326332,38.93330309604036,33.8012305432715,36.654724955419645,35.1036687557041,33.46878276999399,31.09874591198234,33.83127458250095,33.8347974294963,38.971634700987835,42.01069877342894,44.53106463314395,47.53164854422617,46.86142571056722,51.95203750262177,49.11697644185263,50.20140704587951,45.81948104036363,44.93146682018635,46.51769869381058,47.02718049673622,43.943246150852886,46.20466275172368,45.33252226195466,47.42083060713348,42.21269008363315,44.58773999332902,43.68018434214266,42.978631895448636,41.60350683053217,40.522369498402874,41.69451367173866,41.939890555906985,38.507164331219876,41.30544337828952,39.612135118331246,41.12227631229056,43.697578497428474,44.62866396904752,40.724551432267724,39.76672963102013,43.74772369684968,41.56444492308306,36.08325980925318,40.23202418964627,44.567309187311,39.05229533697263,38.34788826634519,42.08527065994392,41.49091036659189,37.157531410345435,39.10972257360556,37.19214972639152,43.07082472443635,38.73227363869399,41.040360792082865,45.001988528328496,47.98138293576633,51.83889610888502,52.79887963594153,54.98191677900357,53.66761337968932,55.879884771708674,53.820084493122955,56.201773269571724,54.06320054009075,48.63553441275213,51.364109193448655,52.65954967508137,48.08413084509596,46.365962266908966,48.109354560271115,46.162268829134916,42.70694061905735,41.805551331045955,41.70936136490212,45.72282306626826,49.016667633398264,49.917550692256135,53.05848100512714,56.61043219080031,54.43588245549418,50.021832580527445,52.84656412048932,54.43796873256966,49.70320769423405,48.22327355516333,51.479125697365674,50.29005949078088,46.59678331469735,50.50021808521046,51.8838255286219,47.9286853475601,47.778767339278836,51.28476434614373,49.1751208610872,51.74517148259972,50.59606764181042,52.903419838387535,51.126761961370136,45.852691540551106,48.23091641993305,48.43821510391726,45.309655132149665,43.1430255570985,47.416272596590495,45.141894256484775,40.22259741668921,41.53840724887591,44.88939426825842,41.90655733010618,38.22010646582004,34.650274629310076,35.110128770694594,31.24369792504324,35.145226875884454,31.41806757182571,34.17976571504699,32.81418312850529,28.694625589109375,29.32632916367982,29.388663935477098,30.67504916763097,34.97863963022674,33.51812457822267,36.77812242247538,34.37550518874585,36.59047243152258,41.54438641006855,44.154711704797485,44.86923169119983,39.65714944028731,40.76048144669491,43.57760434367985,39.41334344145733,37.31868441212746,41.586029465942445,44.27769901253721,44.338121693738934,45.38333155273588,47.665544118436216],[36.94087769827688,35.26025919361058,34.82951524509153,29.791115586052385,31.783002388862513,34.30852830090424,34.2363760957896,38.57902511855431,36.7658801688206,35.136276493921635,37.446322315989285,41.55816530752068,38.81366568111219,35.30451397931959,39.792064402166,41.45534135213935,37.646670090151744,39.67957320940552,37.853376695140696,41.34699429153242,42.0375657482108,45.13505022451187,43.8253941642379,41.05370175988966,40.66399251531269,37.65361026989066,38.006776314538996,36.624015514748464,40.077178038032685,42.62528048330774,44.986706823963324,47.05619441357054,50.66347586817878,52.3887977216665,49.857871527754796,46.237648489797266,47.142782877166795,44.04329258686661,42.539994038635854,47.69964992651203,42.21844434321811,42.922079663256994,46.71174345505367,44.7842373206946,43.20643951917135,41.31925237311185,44.67536117574532,46.736435745897495,43.880708118133434,46.254343814280425,50.56243316039042,52.00614281117857,54.3240225063521,49.48979514086647,54.211597994886176,56.234315668620546,51.90323396946751,51.586339516989234,56.15426508366714,55.307289358586914,51.48321593119307,54.072020045396314,53.769738454417336,53.02761843065442,49.95896423229097,48.46150953269298,44.64200970789543,43.983735010183274,39.82070341701826,40.0222067836374,37.47313635569955,38.716619627452616,42.35706732436833,44.055555333938585,46.08777654265509,51.81714457066294,50.750306349726976,54.95866418256679,53.80169541757701,54.03037727020611,53.860009383296166,52.5549377583503,52.831377622605224,52.03878121943451,47.884391665265284,47.81466891214352,48.05140453021052,51.22576489463307,48.891254990443066,53.62636021348777,50.456664441774734,52.77321446559632,50.5756121955713,50.395622968648944,46.33087055104245,46.97078702798078,43.19547182562688,47.294742117505066,46.30323972483558,50.12861646017593,49.44675581457264,50.06775688210167,49.450521268165495,48.50785088601638,49.37644888942625,45.65961694855579,48.65164080609462,46.45157612594525,43.45161128939847,44.75167146990003,40.44600776779494,39.042434475775465,36.723362496860915,34.177438302397725,33.73541970566618,30.825748683210588,32.492672619847966,29.388104519426633,32.549906889404596,34.69677985478725,31.50596349198837,31.352456271724726,27.377312948331905,28.69761528861604,30.38627862397158,30.870264346702342,34.29534144590705,35.56958026846373,38.17354875480302,41.90910135082773,39.7634838500482,44.23456383234779,42.73796355051065,45.35870909177243,39.61321111238493,36.504370483287765,33.33373407961112,30.926972061199585,27.874791173598574,30.77121885370224,27.618303475686904,31.383419774759833,32.768748383994165,32.79746321579525,36.536343062673275,38.0035556211794,35.73041315447016,38.07465707165455,39.601063298507185,39.031736286285984,42.316126215931334,43.01463904757013,47.80388247145889,48.76330054523169,48.758273785807376,48.23317014172017,44.98035396354509,45.633202927375606,44.179713045220595,43.59968145582912,40.3382323175194,41.394764588990384,36.74549499847219,40.985209023835885,39.27851574949291,34.360942456720664,37.67425378824519,36.424212517945705,35.09502610413274,32.324291134074166,35.00041005973597,34.482543497379886,39.4608312211649,42.29966689796746,44.523318229527064,47.50077950640798,46.39126657545708,51.66215946473594,48.94771274240273,50.328784821021955,46.15678637622223,45.44743146764135,47.382939556095145,48.037456609683666,44.774899302300426,46.62896743227995,45.31626237478121,47.65131277089815,42.4916098442734,45.25198990475699,44.71563515442018,43.94081061099034,43.01517114050162,42.09503674729977,43.480780786264894,44.05795209595104,40.549794010518816,43.454189090658744,41.87088634146199,42.95784756739392,45.83990321299253,46.379107835281815,42.35835416108119,41.88467083623517,45.804137638069726,43.23784791795165,38.06012400792903,42.41733412866907,46.39224744818443,40.676485058519546,40.29546903156418,44.01569811398218,42.964605221315125,38.72823238980314,41.099855242381466,39.44341239529401,45.357113710556824,41.60535522043201,43.68174780223268,47.60447589864799,50.86363161076941,54.66020494388749,55.776054859406194,57.723985942884454,56.35669585869559,58.47117531654374,56.17100104314229,58.78598306053822,56.88841208195734,51.2614710139051,53.88803409119962,55.542084302607826,51.03329529933794,49.06873089069641,50.83201698302184,49.28411697214629,45.75089367988972,44.440608623898115,44.24639378067351,47.82262966864997,51.23065594606274,52.05799535059856,54.931749966508484,58.43725412395959,55.953876564731964,51.72751575188342,54.62156602428318,55.8687357027066,51.0243059233625,49.839603352005724,52.92051084666923,51.49830177473941,48.01372955103014,52.17033495350272,53.31016482951528,49.181180430607455,49.46654097144217,53.12067553569721,51.224037201943666,53.85080939983833,52.63937239656103,55.22972546465935,53.557131281615554,48.14718898029919,50.67739844486108,51.173184637904235,48.01236410823604,45.80057754122458,50.37811065102524,48.30609798210552,43.22408659623728,44.56591656596136,48.22671728762592,45.36727693541542,41.5713958506645,37.77483949035274,38.68394273511937,34.659055524413425,38.322717611647796,34.22577989291448,36.677330407121644,34.78297638888415,31.02154161909608,31.843186491654432,32.350430213314546,33.45306123990928,37.53045188680894,35.46964570673189,38.617657119434604,35.684419096143635,37.87789198271794,42.64382563272453,45.325127976508846,45.57608896934906,40.39629413747428,41.777410388061455,44.23166045532087,39.71913687783396,37.98333282549848,42.35550236645108,44.688639151917634,44.559959051267306,45.422207661608105,47.72035990247017],[32.36115109954898,30.589865802243516,30.04019957206684,24.90207437475741,26.863855149620658,29.290841362031824,29.218274116318103,33.58142654789402,31.860426456859187,30.36736735826168,32.81446432325748,36.848069916203414,34.18550738091596,30.82101441324653,35.480274332467864,37.087756329420756,33.38051010733063,35.75231113352607,34.3837842061998,37.78082060569918,38.875235206642586,42.07759853394232,41.09878301143921,38.53620378790848,37.733306492938695,34.47705715233653,34.43417340097456,32.71725637518714,36.00527434894872,38.29616651227298,40.90877413886194,42.65728381405444,46.33971991920742,48.29361891490616,45.702284330402364,42.22307990100128,42.87039247896447,40.10272661049787,38.6699081350496,44.00343305527847,38.71389299519162,39.52962747729971,43.476504663360714,41.72409940454164,40.53246357016643,38.71056808959066,42.33247507581959,44.00993761114182,40.857807559939694,43.582557803982525,47.78123273658395,49.08329146332517,51.333790365259574,46.17943384302927,50.77000096744692,53.07388743054048,48.868234768992025,48.201524103657576,52.820827705352656,52.36702857102955,48.43714043908474,50.9321675814667,50.445878941009376,50.105176765730086,47.01070801498427,45.16020257501825,41.496130570632616,40.483260337873105,36.495717467023525,36.409410649760815,34.07139754222549,35.623197401585855,39.029868495911124,40.95700032191112,42.57158036429529,48.477294151533606,47.274767547372186,51.34717368789481,50.11295710766686,50.41070434009479,49.95048542819514,48.71280616960903,48.65378127041573,47.95831731943898,43.90311202351946,43.716198051342225,44.19755678659262,47.131359155058504,45.0820514850734,49.71340815466975,46.657797688146694,49.151781199674296,46.77565200144474,46.358410841910015,42.15115286481532,42.848982812739415,38.948167857627524,42.850102597189306,41.680655104419436,45.357950124998005,44.783179324623134,45.22398697358809,44.77999087745136,43.703230873401154,44.73272017315916,40.91301974330686,43.92109143634104,41.82835001075865,38.724774500443836,39.91065187401348,35.53564097392816,34.20803691687901,31.80434706025798,29.40716999479605,29.08954825472876,26.33743538950539,28.310576195074976,25.51364104147701,29.119182473636624,30.842129593820037,27.575844916663737,27.07390101171261,22.983416934268522,24.016584953938096,25.495086448589483,26.04933770876638,29.344876620304394,30.7756271259604,33.454548199869116,37.30880467847983,35.33254317762524,39.881863966200626,38.57988348022127,41.00156925402913,35.35281873169232,32.05592844146076,28.94938995491499,26.541054847939066,23.532052595859305,26.584819645405105,23.979424866358794,28.124037899697015,29.222010987289444,28.861040742803866,32.67339838645788,33.84544148181496,31.402869401569255,33.50959650735867,34.87741127165367,34.16624979158532,37.36614689070605,38.05750734444315,42.82631463482254,43.82949893528949,43.88809534684938,43.351219757777514,40.1529089995488,40.75463512634876,39.46118304049815,38.83701328371484,35.79144104130271,37.06168106294158,32.58321084841669,36.980633852861445,35.484066043372806,30.755901264532458,34.02314717765082,33.179238115462006,31.58561700170994,28.588533940931338,31.042182360779098,30.364798639956717,35.33697570761214,38.04099445008566,40.191493087005945,43.01038222730845,41.89748297265642,47.197262019840494,44.67855744023067,45.989664291165326,42.014085914386875,40.98197952441762,43.195920155618325,44.07878746012944,40.8411452283354,42.927279253899485,41.66240215438461,44.34154868627971,39.40541844289808,42.08345896079893,41.6060932817901,40.4706350524868,39.49992751753413,38.368976826923614,39.653686222984504,40.22192332163618,36.48581091310163,39.28058263030854,37.59929334476789,38.41848081431248,41.37320758248204,41.69582690160003,37.64066934015138,37.372849868649844,41.23703241838275,38.503738331995045,33.4893542490962,37.95813452259814,41.756046827161356,36.01101876332537,35.82800200748221,39.57500092815147,38.35427700150829,34.24180683156868,36.88315450001886,35.27292455515048,41.221741562622974,37.795655979306716,39.58926785313623,43.50378164147839,46.904781340216516,50.7181002077378,51.85621113320397,53.57929078273408,52.15831154301344,54.203668901962786,51.7699103535358,54.56660230156247,52.820119869576956,47.06971864967918,49.678851517480524,51.61928348822506,47.154083836018835,45.04327385862724,46.948197151180956,45.688602421784196,42.0146550087514,40.55842664216231,40.09683648931917,43.46922461313261,46.89157075794752,47.57501203518067,50.32760432218909,53.76361387775073,51.18767712568196,47.03020356319699,49.90657029392144,51.028135454006744,46.158233936943596,45.06702997218444,48.09781945893468,46.621513137811036,43.21380793864857,47.47157820061042,48.56561858312645,44.43271064858676,44.87391911122141,48.58130691847801,46.74439037826908,49.335118092350015,48.05575371682942,50.79290817588123,49.22644001404851,43.73105276816039,46.325981900902555,47.032417608709274,43.87402606185364,41.61361083107435,46.425233297027255,44.5565378662419,39.33880683508224,40.715054561295396,44.657618464278286,41.95317958851765,38.05405462523165,34.05879968861629,35.494807701786634,31.37083298603259,34.83436581622445,30.40068956760957,32.50427440536716,30.328829683535353,26.84322877863615,27.67698650401033,28.524439798913008,29.451910574114788,33.316291672919185,30.9155100596639,34.05879942671804,30.91478627199656,33.02218721632984,37.7377702204268,40.41976260240585,40.58509626733872,35.40816989707012,36.86354695676946,39.26459245442037,34.701428587788534,33.064144070705645,37.506991989531336,39.801498324863715,39.66133927793959,40.533633712216144,42.862399455256515],[33.39214727765249,31.197653567176022,29.983304165612317,25.184130316035745,26.359872064615846,29.81865177858891,29.69699300497718,34.16709052292406,33.044858191904616,31.49400085370761,34.27090333525635,38.158464706960906,35.021134174048775,32.13726277805124,36.79937076658893,38.0117125996858,34.01559035730507,36.381461621163346,34.81651575480615,37.79256942107902,38.83878564177784,41.61411724041292,40.729751099278474,37.92881995424314,37.0100987153981,34.13758199514193,33.933515184129284,32.58842995130118,36.171148868984744,38.58792160794949,41.833091219494094,43.26398746163221,47.20029353474863,49.028433617413555,46.0934077648347,42.48276763488714,42.85807513558821,39.70776897387507,37.89272624669145,42.78409578463799,37.440313715705045,38.786651701851,42.537036874315774,40.39235234570673,39.042496631427674,36.81855099043536,40.33541314280414,42.29908136090659,38.937857827105056,41.22271281467478,45.677412459872336,46.956943665835105,49.46387415272777,44.53350799016569,49.19843539925667,51.592252626601656,47.49643549827213,47.104605182221604,51.808392481767534,51.21119908586862,47.68936981610465,50.59090756132029,50.42756905366008,50.0860643075514,46.7393914337686,45.01036805827802,41.84971299346571,41.05626164844869,37.40337108878385,37.68484572815446,35.4966600778507,37.404032270526876,40.548607191215254,42.091945224936346,43.55584770026453,49.37215299330412,47.674088567346054,51.831143816466465,50.22646930108775,50.106423523363965,49.53872295223658,47.86745232002172,47.88897656192294,46.74804049012057,42.63206467856199,42.961728035669715,43.67637009624868,46.89888403817657,45.12624123575153,50.11877112657249,47.36006765202173,50.18625143245556,47.980590644814626,47.59818305512612,43.416268476432506,44.50122336758532,40.612703652377014,44.047619667667774,42.77788550099187,46.38998580936128,45.35009531807768,45.438986119233725,44.68432078932161,43.29861941470488,43.68903489806551,39.91677362906613,42.671371735346995,40.21887431485278,37.33289851953366,38.94052098555275,34.83632591486402,33.53737191697468,31.743834150519188,29.057705215885434,29.35896182934747,26.3377631381188,28.43461024819196,25.342088495576117,29.42536663004174,31.47078765471406,28.46178609244403,28.02609604299006,23.57259916281024,24.467764847577865,25.94959305706027,25.552480993387363,28.87921360209135,29.779793382452844,32.11530044525646,35.77624598716395,33.29234186824646,37.69283641271939,36.176309724607925,39.039097464370904,33.243124279615465,30.394054177415846,26.89625153254654,24.84054519141442,22.126284688231767,25.315838993227963,22.57425562933875,26.614360276334445,28.349022581615063,28.03106822041013,31.706286259583656,33.38629514511234,30.960924818691655,33.3654112577781,34.608272704878935,34.38790576969823,37.44147949013204,38.73979827931363,43.397021350275374,44.95242948741244,45.02793355885708,44.08543560477477,40.76984690954523,40.909547835069326,39.60930638799833,38.36654605739229,34.87381605296578,36.375282564857606,31.420331321267298,35.68339176727286,33.52180119864004,28.457284953217314,31.42050033192676,30.094657204695967,28.500178962757346,25.897660275340737,28.593677988909093,28.434022663967966,33.54773215669895,36.56638996780582,39.07375666535296,42.113359231889234,41.47645391008353,46.53475810976866,43.650805411020336,44.7550719123524,40.38059374065494,39.56672176920433,41.1990016782312,41.76260711246877,38.62047593069615,40.84019326451124,39.9285496220198,42.156483783470804,37.0359597490043,39.449725733938934,38.66494084043473,37.79659194225486,36.56450838132513,35.5072330838777,36.788883501266,37.26167175515073,33.80636561390326,36.75297004651492,35.2922822146448,36.58686677293142,39.51798808606518,40.30880087422875,36.33157818854186,35.798642552820844,39.89004817118517,37.616993111425664,32.38885905641855,36.80076100713966,41.03142688394451,35.61966260858364,35.27620563007727,39.14758085441324,38.38842179429039,34.32266629418204,36.70276310202969,34.67900867652233,40.6582729117583,36.46087976527679,38.280634150005824,42.33255719157456,45.296822879066234,49.35200813531066,50.06519575848655,51.88030627094696,50.292906921758124,52.257451997122914,49.89110048781644,52.336457672295495,50.53404765158217,44.883195184666874,47.36063581728831,48.95214838185826,44.498566784853104,42.45619522641927,44.0905660374852,42.61827017121422,39.16276838781096,37.66784620715008,37.68619618829476,41.2556578368464,44.679131238739004,45.73032239477776,48.662019389097956,52.340069636458495,49.92013002255253,45.61833289418437,48.746512774281875,50.16735736758948,45.33720908968854,44.18633137558819,47.564920929275885,46.37274216480231,42.84258157168493,46.944123592999006,48.39634392269798,44.53924178790781,44.60478610490762,48.1679963201383,46.020421514178345,48.36144430418557,46.89598394895397,49.32867443906389,47.93408429381549,42.47238012512874,44.64736226657306,45.25354140003106,42.241675834694725,39.698424951750724,44.184140350753296,42.40002903312725,37.2573434762283,38.24690402071918,42.0292222804826,39.44783831786897,35.60855932866551,31.949701076894694,33.05507520748821,29.276194700420138,33.20882002752384,29.089403290353275,31.276116028507918,29.689772122393084,25.934914429542122,26.22672320775572,26.508915927696606,27.255208592607392,31.362257036293062,29.341110311672356,32.31673642272303,29.689390621363124,32.292907829604424,37.042951475793,39.864081143782556,40.3652755455052,35.243352740560056,36.7662683712958,39.555271488690984,35.15220048145085,33.535352798571665,38.0243718777628,40.62369357437065,40.59370559742475,41.550244737173855,43.882338942117656],[37.52397452152284,35.36294809164905,34.041591807894456,29.082162749334785,29.87259287926051,33.14342731655622,32.54082740633858,36.84144410857953,35.44073210346059,33.33773536800407,35.8594852977905,39.91241230118905,36.42653492836509,33.31689867536849,37.63180623183899,38.866736827001986,34.65910261265771,36.446837461873436,34.214109526661034,37.32880786101682,37.840260809057604,40.529279289341474,39.24017632546409,36.24134812916475,35.82165011288793,33.19860953055488,33.56318924182734,32.66770608480308,36.47494510860825,39.33576580533446,42.162393392454696,44.13968254514959,47.95380386077665,49.35649628107674,46.508276171400794,42.669895845256015,43.5132666822488,39.860824296914515,38.03627890857634,42.7888885613391,37.18932942968371,38.200071888476764,41.779820059667045,39.53591658297691,37.765967886921544,35.64172323688477,38.89291188298002,41.172353234768124,38.30088412583376,40.38016208396718,44.81237042859,46.29904148410388,48.74263261337595,44.149079133304696,48.95995636445907,50.91156356358368,46.614647727625815,46.59826576916498,51.19363530579956,50.13091108491508,46.63706714958027,49.5838125282828,49.62252807669445,48.79042881118484,45.49183683341863,44.19051936523241,40.818244568205444,40.49063064190028,36.642658376423206,37.372646936655855,34.936046660126436,36.562554195328445,39.9141894711149,41.0845390200485,43.05244015045592,48.61878356372692,47.05975079651636,51.40179122350155,49.90836906388521,49.73015226020093,49.62047986740445,47.95504907710515,48.53015495118277,47.39801857012036,43.14289610337883,43.47024863211378,43.705200886285894,47.25879764965285,44.99759583314508,50.132165165876685,47.218856192197855,49.832107034913044,47.920232811591504,47.9205927585941,43.98950814084164,45.1017569218076,41.44735705128817,45.11580320219713,44.22316412656879,48.231534935459756,46.80202525179968,47.40475656687834,46.20346162591611,45.31634412715931,45.579309833342286,42.162975557953196,45.156956428935594,42.813380133769606,40.24581882894552,41.69434007471675,37.747079440793144,35.91353809827154,34.11983634078777,31.036674140382555,30.82403627406292,27.509905831767295,28.968316832824748,25.422499045303404,28.787647056920967,31.436565022553285,28.572448893388337,28.73455957443317,24.50616969707811,26.03608613459159,28.127009162747164,27.842281475781355,31.89324601471856,32.38169075474519,34.85561096967782,38.125483762471646,35.930027918806644,40.223917017035554,38.26908863950378,41.042909754363215,35.193032331009775,32.3917871615302,29.387668466086417,26.773036717098403,23.700319258229147,26.36648285884053,22.70973584472283,26.163866428155753,28.06640909931326,28.361953725025256,31.93575626139589,33.95809131396212,31.868535949516872,34.6878383922236,36.36619827219034,36.45944399972312,39.878584577047995,41.18693513201677,45.95886573127402,47.63138441406993,47.29202300885545,46.216918940129766,42.69174064977969,43.0158339712453,41.22726246985487,40.30527733183852,36.458134912621205,37.34190449779533,32.29058225908184,36.28558813978734,34.170580850238785,29.070377383681972,32.41628623371835,30.87249364494067,29.91907355351977,27.28109029797364,30.17793216508874,29.80726803349967,34.74604821940161,37.79940712496179,40.22350794825592,43.49353138397711,42.67048890701397,47.72974519787629,44.594636175899396,45.960039286232444,41.444501602735365,41.26067022923003,42.70169119646364,43.05073733045408,39.75906289350591,41.36923970710931,40.132733192884764,42.09373951698588,36.779893410126235,39.529257232590886,38.964757492227974,38.45487988799728,37.669775473445476,37.04652319027866,38.66649350823874,39.51617431957609,36.39060310267288,39.62307735996868,38.57191310799568,39.82048277785757,43.06420443757339,43.82886037249789,39.82219110100346,39.61046909305205,43.78620644975521,41.49348759023597,36.46292866419157,40.98626498209553,45.15350617363378,39.80147840775706,39.64457080681576,43.54832895169327,42.66277765706737,38.71474250932143,41.26545580638195,39.241984205576735,45.22926303267887,41.01932732390553,42.71180176393723,46.79419197477838,49.664086166240985,53.80476969429154,54.349081312293656,56.051892544802215,54.298563074263264,56.09157009070895,53.557892223663075,55.89575601058168,54.29180991267259,48.582559577017136,50.80303665846872,52.397070925830036,48.058868476789684,45.855569562594646,47.19002990867336,45.91617146120976,42.66615138753032,40.70730685788061,41.145887155777366,44.36365351960617,47.89576542703449,49.22736476003098,51.99646329527336,55.828392185784814,53.19653200930863,49.01755031846131,52.43486153648681,53.70996648009847,48.8102013413972,47.95913941189294,51.400152978449114,50.171487672029215,46.79330751081345,51.021742529914334,52.46914448239744,48.628896826323505,48.87144138365954,52.46405797693062,50.31659380015111,52.53222530440565,50.87906034495295,53.3330441130466,52.165863327753996,46.64291436721793,48.62130406537615,49.39614136332115,46.48472628483718,43.71062758112492,48.147913704118054,46.591968330430156,41.43514556257851,42.12092176927419,45.961538403739496,43.574596188048105,39.752989552354336,36.23604651387434,37.319596240821426,33.71613933443979,37.77089290226215,33.672687296835825,35.706831106870645,34.06674687691208,30.46274314879016,30.59710463450051,30.824684148954667,31.299633178601667,35.34062866973818,33.058354745630915,35.70329843505972,32.93128103965821,35.90830291762468,40.41033740790481,43.415845779367764,43.61411599618228,38.61439989813367,40.51180572175628,43.145685727666105,38.45612882985303,37.29052041859434,41.898386751118906,44.290197504623976,44.105745667320846,44.88180004375036,47.21859389677353],[36.97320525869425,34.81113247867512,33.36678009867551,28.254563002892567,28.753141752251054,31.741668311857232,30.785809092353748,34.939395656283466,33.38205275166915,30.985369656995815,33.38577451179711,37.485461051801686,33.850204636389,30.67176751503369,34.83603067497397,36.06871041140261,31.815819165349254,33.43993436863862,31.10101670216542,34.28676671438901,34.74569242416126,37.51962316295689,36.19936019345741,33.26341252138888,32.870784622283246,30.165859314524276,30.63926221913593,29.759662762293484,33.57191664744104,36.54095768147697,39.19650297263514,41.34769858392082,45.10186103660382,46.38692368888893,43.59240436496851,39.71583295529913,40.72292685751431,37.01374129138143,35.28292933625491,40.1413672454851,34.515532537293154,35.30731255891961,38.92734216754101,36.812777645524385,35.09077972950358,33.15646157262556,36.47123884301797,38.60061087745002,35.853966222948145,38.163079660072775,42.44789372458214,43.9672735608569,46.27151656862625,41.607342149002854,46.408215298991784,48.26763514280532,43.9110457092912,43.83044135761822,48.38394755793156,47.33605657010462,43.70917197346847,46.55477310036147,46.54410471531198,45.68634098511647,42.43527355243794,41.13336353548746,37.667766009458184,37.36628933916954,33.4815186584464,34.277604183662135,31.81582594103793,33.44362138266957,36.78044786222254,37.89726111534583,39.91555682755583,45.44984631924703,43.94185360347936,48.29841552618924,46.86854697050495,46.758100200803476,46.75545969005712,45.203747800431245,45.89319754064331,44.90106087048831,40.63118582902256,40.79716874653737,40.85666290411711,44.42173701791678,42.00371470909838,47.11630685012609,44.1491560778635,46.71083796040972,44.85355245681838,44.94247741242688,41.089034252616564,42.22968189943016,38.662938677696104,42.37484945091044,41.63230934412146,45.80756909142224,44.222255573905244,45.08881213410753,43.73115007223879,43.13038229048586,43.49506361059379,40.2500405078181,43.45163053818631,41.31036141420516,38.86731070937178,40.07009326670657,36.16667369376797,34.00534303488316,32.108497293853816,28.875534398488643,28.33653438592192,24.951341867554103,26.15728745048248,22.539943126726328,25.686179214170462,28.41826414177212,25.591469178855196,25.932459423756026,21.827801573060313,23.6200525947419,26.001939785838484,25.897602033049452,30.366365380878833,30.705503565558264,33.3620300380712,36.46001530709883,34.66065251602942,38.9587476975066,36.87853252896924,39.374719468437796,33.57969070146179,30.609035268256015,28.053613515063045,24.996291266779505,21.667130173752938,24.0586195288024,20.181197622930494,23.552897380291043,25.258186707639826,25.68272735723933,29.263695377527466,31.244025805926594,29.265187082218258,32.17507758368688,34.05750728300054,34.23516349855691,37.855957302784965,39.11808911665461,43.94529158227615,45.686950923371256,45.095206536564,43.95017881335004,40.33452572128102,40.790517825875376,38.77448219545185,38.107928869429294,34.22014699252152,34.80100083539324,29.86501818628317,33.81510032589696,31.989381648301947,27.059648820931407,30.690818320866263,29.41062377493255,28.67865557239098,25.762573060065495,28.58863240882116,27.869126679404406,32.66593682802237,35.59997086934575,37.864962544260464,41.14947341398156,40.13812871176744,45.24650267103179,42.130169768411754,43.65241503864827,39.24177439855479,39.22017090556212,40.82218577806232,41.25019072252843,37.85607198062052,39.21076670070742,37.73035675324769,39.86021625686561,34.61651035164893,37.58285492509481,37.27085452184246,36.66351933061349,36.192463111381215,35.68426047889184,37.45789071760824,38.574978486693446,35.45311191993413,38.7783791763803,37.9081359979731,38.861242535522,42.37938809431696,42.90834338407178,38.85445923974122,39.05304701213286,43.21482934166812,40.74504149125722,36.013646307691985,40.68879164611784,44.626288104070184,39.29004331428533,39.42506085128367,43.343606849952494,42.21199782744392,38.4595767666363,41.33085002361042,39.3838695069451,45.37408689497757,41.483467197426215,42.869624000520055,46.94266929459504,49.896155713765765,54.07184888701466,54.56982406031495,56.01179700944353,54.125549949736886,55.75726564951849,52.99962030923289,55.44627638232897,54.10234958696009,48.24870054811205,50.2947169932239,52.15891218858759,47.93286318348078,45.49817733516212,46.774918933767395,45.89267037344922,42.641970557279464,40.257524890347234,40.71295485169342,43.50322381876282,47.119745966549914,48.48840846610014,51.02805587676492,54.8826178016065,52.01562781693725,47.99632732767972,51.57076324774871,52.61356890851228,47.650678774713526,47.09006160834244,50.49527685087317,49.177072300320106,45.98593582137704,50.380407983139804,51.75189580464419,47.9114177602222,48.425328542083996,52.07929513746334,50.01288534770003,52.13441302916593,50.3221848452087,52.9315200996185,51.98447041673353,46.36217376583467,48.29441707274562,49.35635517573772,46.504155126094226,43.56944802013832,48.18561732033044,46.931407213583974,41.65970496442076,42.20882004439125,46.32386440294359,44.17185008631389,40.27918792957305,36.67523901970114,38.17835291655859,34.585176555531454,38.514500516650145,34.167790567425094,35.82162446654094,33.9008741805368,30.64754163875654,30.713835227223708,31.203876726186163,31.372719492970027,35.17339387601462,32.41812020476783,34.833376582643034,31.75595014876493,34.88910898693375,39.15563359352375,42.27268323746948,42.16075157967103,37.26774855737849,39.47782116457814,41.919400357887156,37.000374132366716,36.24549893840967,40.956162370951795,43.131387923174415,42.820802448903876,43.46305440756256,45.81201292365561],[34.80369357146908,32.34538695749643,30.449403870904874,25.622658902742568,25.629426511822043,29.319028844443256,28.467656601001572,32.729926538547616,31.72692776419139,29.54625614592378,32.30933184295469,36.19402431027809,32.39746239046708,29.724048168701355,34.063179088565775,34.97645687864861,30.654803781343645,32.62737073587827,30.610626016492432,33.3673513707142,34.16862934766499,36.68814813955217,35.743123283921925,32.808383795772755,31.952103626921723,29.350844234366733,29.302208160288245,28.396644957593285,32.26350642667765,35.04370988710623,38.40754400424141,39.989137833662525,43.98866484498771,45.43264568931445,42.3435375654418,38.52530029203629,39.051389755757384,35.38888841420455,33.405299726551874,38.055742327442665,32.56188083784092,33.93435605604984,37.53242830020901,35.2337576601425,33.71968890309882,31.465617465252475,34.91688565443029,36.977781689912746,33.758970645363085,35.96393046297699,40.40901875681406,41.77442927921913,44.26766771872641,39.50603158588666,44.25905784716602,46.46667580105031,42.31720125605171,42.15315050690352,46.83194845236734,46.01798925088471,42.642433499563886,45.72502131147794,45.79563881558508,45.29389229566719,41.84080173676621,40.319452911517374,37.38533648637134,36.91524117122605,33.447746428451495,34.20575279625368,32.05655933831024,34.156139238427116,37.106489678344005,38.187459627391846,39.71718120354965,45.33360573280633,43.36814034659687,47.64562009095029,45.88011612941315,45.518475357484114,45.14671517615853,43.305563526454144,43.71440630075562,42.43278451528305,38.20465800425299,38.70563979059486,39.21568481453846,42.765766587180586,40.85441622417822,46.119497123702374,43.47740016427371,46.41850580905622,44.50243030084315,44.37268724891301,40.39891698997363,41.815796048592965,38.134810841926274,41.34046050171171,40.321385562722554,44.23799951942374,42.512794661073364,42.87851057175303,41.52500533215766,40.48173174766759,40.495809191901735,37.13114854225504,40.08595904989885,37.70426856924926,35.28825898380586,36.782630471859676,33.00803489727272,31.0535755451756,29.57197949368698,26.318240524217252,26.466298272737678,23.05957888614208,24.716595057327666,21.193001090530316,25.17365036045136,27.70633515620112,25.010515562704477,25.018966654149636,20.546439132092363,21.869751269748285,23.951424683493386,23.1295771125627,27.356337558219646,27.4775212865908,29.87532495500047,32.98567783985223,30.81841399195153,35.07339557164089,33.036542003157365,35.794067511190335,29.93690953384328,27.196240378407115,24.251793639128017,21.5869616878795,18.597339920410512,21.331878745869588,17.89285565398403,21.582158207720887,23.61583897183483,23.67159847687577,27.211936240550802,29.33283483853131,27.177833587019453,30.06342228812522,31.637192117968155,32.012769003824715,35.366061790850324,37.046081954706644,41.733602566907905,43.82779262811658,43.41537075934784,42.03409940582678,38.440027396805874,38.48499630205205,36.697962145196925,35.45940453286093,31.448804770700043,32.49991162178816,27.30406117723149,31.318096777335267,29.053317150263357,23.93176779419127,27.212845397863198,25.811941163507168,24.773826143007128,22.033732007997443,24.907288909876197,24.566206871927196,29.54097900551983,32.64977017897016,35.18085548318341,38.486248451033774,37.885107522240084,42.82839788548726,39.61284628326367,40.866679735082236,36.28629646686763,36.08468306099563,37.44359982880968,37.80537577976256,34.52782215521945,36.28751319380264,35.200982038351576,37.239270352226384,32.00843862616139,34.63023077085648,34.040089331064,33.351087678926895,32.52651841191144,31.85012522871325,33.490791241469594,34.44317284274163,31.33344475277403,34.65241729553109,33.8030958769718,34.975044828522904,38.42847045837211,39.189617983142554,35.19528155518651,35.22999024434456,39.483544768876556,37.27099417467014,32.45500902311459,37.08292959540749,41.22413880219203,36.119055655652,36.18980803731084,40.16232168894499,39.30187120772451,35.63527659141985,38.38320546818952,36.20827592207442,42.17778078166626,37.96378628818649,39.25612572934931,43.379390640670024,46.111460069719485,50.40938332898746,50.67894221369196,52.108236889024965,50.136572732798385,51.72424149701952,49.004506677330895,51.314341963747395,49.95044310641217,44.14005567063512,46.14690146607736,47.89648848449582,43.680150925067274,41.26894256082671,42.49197999359276,41.55310460001533,38.35160311959416,35.97481898160542,36.54695668417577,39.45617520751793,43.04871575300372,44.53394959850374,47.18223051612615,51.12466854272667,48.389098268474264,44.272551251398056,47.92646138897585,49.15786326216291,44.2427014936674,43.602245440321056,47.19303915475637,46.05802398462769,42.78832466134173,47.06745470636886,48.65349555961308,45.006130538243085,45.286394561029944,48.8414659319038,46.60542029032162,48.569600091327956,46.659944724122134,49.11327805447767,48.2715917144139,42.676408261458675,44.39287734459454,45.43540994184257,42.67335892362007,39.59462862460575,44.08562116961674,42.93466742054366,37.688798885549204,38.05044728085125,42.154822326384604,40.12800220820733,36.254056175098626,32.789860436383506,34.31155705350224,30.918379105814797,34.98312057623189,30.742324562016528,32.29361929019974,30.670599099643415,27.389019414900996,27.11971789014907,27.395386793793723,27.384834997672034,31.220417344835585,28.633951011557574,30.979703705525235,28.21764261059632,31.563279916294086,35.87249110467852,39.02599821554215,39.19319270203612,34.327050215213305,36.503678912772,39.215249452953515,34.492365141096656,33.674541601045945,38.37744785650696,40.78561533838657,40.59274226487473,41.3471093048657,43.70308588347205],[39.07182942698571,36.585487766579135,34.686663854465735,30.06760969088279,30.078001195604894,34.107842479929275,33.375919744532574,37.664014871680614,36.763420717490725,34.56301802633705,37.30589629333121,41.1964017604033,37.28245432600575,34.63175144410193,38.84622065830476,39.70156076174742,35.268528668251854,36.95889305123042,34.51675213569463,37.17928485159241,37.585605821359266,39.80357826207935,38.59187201758551,35.379906938794186,34.89350660902097,32.72924519068573,32.98810929176004,32.527521050125266,36.57182881584313,39.56060423651979,42.899039504026135,44.615604476836204,48.61504200422598,49.83832292918366,46.6997474220359,42.753267250096194,43.383753924292705,39.34787065989382,37.17877597021892,41.415787442735635,35.800515080356355,37.28005353994924,40.59749689661459,37.976457786034,36.020335170690856,33.52697479738647,36.597798894700624,39.178599476579876,36.195177685514416,37.779118082321894,42.42257792624147,43.90576329416431,46.5752488432357,42.28591770790817,47.15129177301405,49.11789755322035,44.93721244597387,45.238449805599224,49.86764981658339,48.62006564825628,45.56307629801515,48.890053787475516,49.26352558124713,48.39866371084681,44.88581597606051,43.75605075673883,40.90377763539846,40.83105030789205,37.35091923699168,38.45171753862224,36.18173047596431,38.106569586307984,41.170526943259645,41.934559382533514,43.76361134828364,49.166581622925186,47.15005845827409,51.550685834489215,49.72063283112548,49.132975644653015,48.972133002419014,46.90319389752232,47.62808882943292,46.081356877708025,41.790712633681004,42.612065563181226,43.00433392173547,46.83899660139843,44.81115865738437,50.258543479574676,47.6431792352609,50.53421779736211,48.828395605966215,48.895446301498794,45.05047419984936,46.51760278977837,42.93307758690908,46.155269219368705,45.22517537816488,49.19100289105625,47.288445671030146,47.63919053946455,46.0903292878302,45.01169312956086,44.65688059157923,41.39833035229796,44.17438894789604,41.55910153182369,39.30427073948604,41.07118130021861,37.46483145741943,35.57302959547488,34.361839313941886,31.012712634265153,31.282070927971674,27.767706269484943,29.21299877795377,25.438561923129782,29.087275166287665,32.03465649779624,29.494500439754137,29.76902793289185,25.363756095542257,26.80137061742563,28.925509030813856,27.8330145973493,31.958312678032506,31.870092947075072,34.01379602207833,36.95303325351421,34.40634755407972,38.46468133985645,36.22947291879184,39.34945116049208,33.4441162826662,31.131856424015314,27.96631979459702,25.61837502517523,22.860080348909747,25.44519470692472,21.617582128825998,24.7380030747831,27.260622411400814,27.681210391461292,31.016494355220694,33.53935561578701,31.560673011756634,34.66388053346919,36.26708165062216,36.85813663383951,40.158205409069645,41.99644324285824,46.63734468384206,48.81867385273104,48.42351900132456,46.9664412047325,43.33808471467539,43.266972553750676,41.4146952850488,39.98989714903854,35.72576903906434,36.705182301274,31.278167781879915,35.01986616098028,32.30036095376545,26.960797095061135,30.021490930348126,27.976773204144916,27.211020364499227,25.016618681783147,28.124869474942106,28.212558670121734,33.14248082641237,36.451026476856065,39.16295361768084,42.63853895887014,42.24276530192112,47.017214074461684,43.52901661678434,44.727773287790825,39.860428137898275,40.00744678497249,40.84444317946762,40.843216804842314,37.65061083091969,39.2511333885956,38.31838857214035,39.76883391079005,34.3060883150251,36.813378893171645,35.99549809201184,35.82514056200103,34.89671344746443,34.45759084285014,36.13888818961459,36.993929825947944,34.266479815448456,37.66626875737827,36.953991448500545,38.58251589166785,41.85470003965948,43.00697149220214,39.11786519691765,38.783425068064865,43.12043080828509,41.24822751066267,36.18613702485575,40.62849604497131,45.08388430350929,40.10976336173481,39.892494823218506,43.863515594749735,43.33427340625563,39.525610276255,41.90102981415423,39.557886086654996,45.49728536448161,40.71189559148331,42.318800498269866,46.478608753118316,48.916293657258706,53.26356739476854,53.36964950541116,55.074086068031704,53.1252452937839,54.767939226125435,52.25253314633857,54.23546559125423,52.673043724605186,47.07741367276555,49.07291793091126,50.36349453376406,46.121462364455475,43.93740200751834,44.92456798974083,43.567685638348536,40.61480359912677,38.47566479593663,39.46042912666998,42.68794548446262,46.21323632388452,47.93609330663542,50.78428193344802,54.84032414511041,52.30863898151873,48.07611249368993,51.76745169578155,53.25285675477796,48.413897568056306,47.6065233357469,51.3381734677588,50.360275422644484,46.95381565298596,51.046591430066,52.79463426244157,49.235707142114826,49.210718638115885,52.657341912708674,50.26056295551974,52.19087926710265,50.323661344781684,52.502560853958805,51.582773791268465,46.119519393789545,47.644724267593254,48.39943353706541,45.68637453692875,42.6133410143103,46.71319929133005,45.358080178550644,40.31695535274348,40.54194336996713,44.24408432012684,42.094142271817965,38.37708186893272,35.25006750973045,36.09237653903216,32.92731727188031,37.31613273602908,33.53192338459242,35.49318486479165,34.34357783143559,30.67869121386435,30.2941956064237,30.048295783983157,30.227572929971892,34.33747233257199,32.3278361607654,34.66391889273324,32.362184343324294,35.81129374056028,40.20058753206022,43.33730506142037,43.754438996012304,38.89781351370421,40.9256750122253,43.82668211637881,39.265746419675395,38.244444581663764,42.86883444833018,45.45066539169011,45.33393379832266,46.143470800086725,48.47111056072352],[41.06131887142782,38.61227720480225,36.63036503782691,31.838266798136573,31.543371401586423,35.252401182088185,34.0831015838086,38.166823759111494,37.02674230853905,34.386102702441924,36.895555545829076,40.86979619851987,36.70762375078136,33.92626624482186,37.81253771733602,38.663305930966615,34.12134787019726,35.353823151026845,32.46004652462964,35.20333992979235,35.23460550797393,37.41337813167642,35.93261014922726,32.63637257452996,32.49473164772005,30.484420914311375,31.16425146656582,31.014735924476454,35.16112181791832,38.45247859182911,41.42840497351911,43.548605593084865,47.4186694476065,48.3134450755364,45.27131198321364,41.18998935347383,42.18932724160354,37.839924015907876,35.73172416439522,39.91067529546384,34.155386436536226,35.28767625351311,38.493296687776,35.8925192769545,33.69510234343436,31.38948153535268,34.30675059061675,36.998208497844054,34.427011889355036,36.011040643301364,40.52922492146163,42.166394876539215,44.69560317505025,40.59449877468409,45.52503297640738,47.147652189332284,42.81780875171788,43.32090375496429,47.837114155998705,46.3064611211634,43.20502461918446,46.49547185910611,46.97229544248818,45.78981924362499,42.342684734765974,41.49254277456702,38.49069095704946,38.733300746470356,35.16038526709059,36.57851395360343,34.17856986878958,35.932515537797975,39.06492213530264,39.545262191481086,41.68906353352922,46.88167492328831,44.97577950389883,49.47702575638705,47.75333563907906,47.16476927225344,47.34903852146597,45.359481507264135,46.48888564792992,45.04161254497503,40.680427478618384,41.39824859102922,41.39070464496731,45.41564723999466,43.013421280351885,48.50982759678329,45.7910213821217,48.51571086172706,47.03233334294098,47.37780975625252,43.75163540838037,45.24867202426409,41.87687508803552,45.22566431938091,44.60241888095594,48.864696293075994,46.66168506501241,47.460160940081735,45.57452771375671,44.961350758523814,44.60807541161318,41.67357652501657,44.702185549964504,42.29728509286759,40.29637266409979,41.80328239417534,38.318211778440876,35.9549973039818,34.679890383298265,31.06526513164043,30.855585464058986,27.18586528303803,28.091218170181946,24.061523897359038,27.087447416167137,30.426138066133056,28.04942442731486,28.77159090348421,24.64168815687539,26.544022073691295,29.123038971556333,28.220589620565733,32.92459600121256,32.551873584716866,34.87422673372068,37.48066851737822,35.375409433891654,39.356589495668366,36.81983745963401,39.67729652492248,33.82507703975571,31.44460312651032,28.876251135867665,25.969824925173242,22.90108112402048,24.965084402599377,20.51549047914328,23.12243159626797,25.623906319530448,26.507873867698144,29.731760169073226,32.421239970625415,30.734200775008368,34.09946576716324,36.05582547591276,36.86168343987444,40.45762212517681,42.25333180166554,46.966904247615545,49.233503799249135,48.466825133934364,46.90712976928604,43.13099444838437,43.24474974040657,40.99580801092885,39.91997323284791,35.46804838978246,35.89306303515737,30.53154400633179,34.04180262222474,31.555362899330795,26.365624941467537,29.813641638619927,27.840962239036358,27.62489489400994,25.24793763592321,28.377389978111946,28.109081692676384,32.787608543323685,36.00956973793148,38.550358290552396,42.145544660981024,41.52722336675259,46.30348109511215,42.69915904346695,44.145042053302156,39.291523967471946,39.90735267789105,40.73920672158687,40.667899938337534,37.339295256303785,38.39116841865823,37.10701345874902,38.48675139447915,32.9753383889612,35.827669115793526,35.32440105303925,35.312918985835,34.87828497423711,34.77613753173986,36.74158400457318,37.98323073667807,35.44672045424078,39.03063808437374,38.641865426567726,40.02774718607414,43.62192258729224,44.586291924097914,40.66259976694766,40.75874137211007,45.10542498977435,43.09404852271826,38.33278787414187,42.91815000103833,47.17160222853545,42.2228329629509,42.279379653675896,46.2671529046681,45.50271721824207,41.86273139926184,44.527168130888,42.255164236555636,48.2034981550285,43.656629571575316,45.01420106441732,49.17306840250951,51.64347687858003,56.03759001097875,56.05559900064031,57.531957268478855,55.42580727207337,56.87879846414469,54.135544220714856,56.14318036022019,54.85830483713521,49.1480123240481,50.898489347352296,52.37831321169744,48.28167979799204,45.86833559703016,46.66946032635886,45.690629334694094,42.84206530494037,40.199049709709236,41.38185773735381,44.129050722627696,47.752390435974085,49.6240145711094,52.22511367380182,56.35795222123124,53.56478716544741,49.515293500700935,53.43682717168732,54.685751686003826,49.78065588237911,49.312133017200196,53.03152562672947,51.96963263415826,48.76485640153324,53.02567960928436,54.70639834613221,51.14614121890417,51.3922553266116,54.896932192677326,52.56763862132884,54.38849224884873,52.339024034221694,54.6379895925767,53.96333734810723,48.411643680126126,49.83099451827193,50.85548338079221,48.22387133698239,44.958626159028064,49.158683018187496,48.10493102226035,42.98785323443439,43.0039590091816,46.91049475665781,45.0021335112636,41.25166802643671,38.11504701734771,39.23506470252508,36.125670009504205,40.45443187748462,36.49800462977305,38.157057953853034,36.77149378263589,33.397325657975344,32.94976331563811,32.88762422301972,32.772916230730814,36.673163140043904,34.22858283148535,36.25824945948699,33.682828619099325,37.37147415378265,41.47481077555597,44.758076892143855,44.816594452869175,40.10235549228193,42.496674571677325,45.18215955259821,40.348565071582755,39.79408796021384,44.5283978674851,46.86185134182034,46.59038755454412,47.22561557763753,49.556135475678296],[38.70158946960131,36.11168865830305,33.75738016194201,29.035343662998137,28.102719092990828,31.846025067578836,30.336985075925753,34.260349670899025,33.30449120566802,30.484972763070463,33.06391719251094,36.91483839761768,32.498891786444695,30.005650255828506,33.798709237869744,34.421548657792634,29.800577900350135,31.075409674504026,28.299845681459093,30.820247967362665,31.05924073232481,33.18569814081808,31.962529934246703,28.755551622644397,28.26537228555547,26.194592743519816,26.616864462061795,26.469009564105157,30.656645732157305,33.93876144532117,37.19361880238517,39.1150045565848,43.07063479970261,43.951079427623256,40.77730712240359,36.70260837227002,37.55940910342767,33.18837741909744,31.021688727521205,35.22193883917314,29.507186729792537,30.783044390832877,34.05853047326811,31.49906960593832,29.541314643811457,27.245993450870536,30.415844998969877,32.82579456124489,30.026795075131496,31.90743210374581,36.36512655550898,37.928858330072536,40.4113335635004,36.079844102492736,40.96991736506632,42.75810815700143,38.492215581741355,38.80721020944641,43.37885798899461,42.07919342585273,38.94677423390261,42.26790318725141,42.71176486372948,41.79187310698359,38.253855990437174,37.20386825963643,34.462937232044645,34.58562143820385,31.27491110489988,32.724624003074815,30.537492525531903,32.636307491914316,35.45160091022469,35.86766244031182,37.695121346763706,42.92312212511134,40.75969783984087,45.21213073795616,43.334967811286816,42.67129085116013,42.70747950573641,40.67110917466413,41.723527988976436,40.266406842532135,35.91055338037808,36.64223798505958,36.74085968192468,40.754843617180036,38.523992114476584,44.08667584437844,41.529335400349254,44.459781100570815,42.98124985500934,43.26188524016677,39.645782929541575,41.35489952460881,38.01833238588663,41.0566004418973,40.42139698768518,44.68292606880872,42.224580224792355,43.00053014705565,40.948255779289646,40.39028636054681,39.9481703329279,37.15118931784764,40.26719106709179,37.97913363868246,36.153391816006675,37.52518125888994,34.19801334295834,31.578807439280272,30.46300199446698,26.67656561441534,26.521282529588206,22.773524299146633,23.64141686826575,19.584946715724627,22.932835254124566,26.22500136360263,24.01562235928584,24.730627169969704,20.56312365769226,22.459497329753784,25.17113560968284,24.015858354299453,29.028338291349733,28.32369626898182,30.687077876319087,33.064759424494426,31.248064130858992,35.18977021411079,32.540889964594435,35.19267178886721,29.388716365068067,26.94911205899971,24.748152794305714,21.53483481628944,18.38808801709321,20.254669834490713,15.751653701365306,18.457192745740667,20.975322985536245,21.783146301971065,24.984492971729743,27.730206828641503,26.071939709917192,29.530620197534077,31.525547464834144,32.56662207016779,36.20498536916238,38.19899808396246,42.855491686140525,45.40616146391023,44.47274575842246,42.691995623841215,38.84682729146961,38.850320731687404,36.491652734469355,35.356576445001366,30.790668132444694,31.147422283056386,25.756315800546666,29.254555299367148,26.84334749069827,21.73149379315302,25.349037367316132,23.670556162451067,23.550981462699525,20.904945512262493,23.963958875377113,23.478102461457958,28.080815796827864,31.262458440528295,33.776055139422716,37.395196984099485,36.81484761393809,41.54350004116387,37.909958626192285,39.37058197977484,34.54612646187701,35.23123031420316,36.12743380486749,36.134143452877304,32.74368905436059,33.75738076374331,32.41929296752326,34.00310816481895,28.568764004184068,31.49495093378454,31.14253115447642,30.905726500977117,30.647140048927486,30.56964772333336,32.64203227166238,34.11970824064093,31.587770337924812,35.25600115958733,35.09580340056213,36.22311053497271,40.087629132391974,40.88415676179319,36.967366613615184,37.46629681297052,41.80789095003871,39.74218434391192,35.339023961245736,40.03075366621386,44.08554316119599,39.32692732037126,39.6880955603128,43.68491383304156,42.790429363189915,39.45903624352867,42.39973855391194,40.11772143939419,46.00711261262167,41.714303624690054,42.646536823265144,46.787059922320196,49.23618013956833,53.70673324732783,53.56334033284644,54.710525378935806,52.41725419876302,53.65361159655484,50.67251316472025,52.74781616913031,51.76827407167397,45.929484756052325,47.44979780135217,49.21009066662227,45.26922998615144,42.595624408555324,43.31714982875843,42.80495640599956,39.97445928837925,36.8351486759282,38.067270386340354,40.3395148223031,44.033850230547756,45.98974456462807,48.363003048533216,52.546879753944275,49.55980626267754,45.66366964926246,49.78753345028543,50.86073451927781,45.93410589290936,45.76341749725677,49.519397928610054,48.46181554111383,45.451739419790066,49.813687651165516,51.51356119140286,48.08391678094758,48.51260653072457,52.01352271434567,49.70300393281563,51.32097583385981,49.04606741049245,51.43902969272449,51.07983974510762,45.45815329212372,46.70701633541634,48.06130195280766,45.55955129565027,42.05668268502788,46.39276770559478,45.75851974851116,40.548588153463555,40.31684126044529,44.53808836318772,42.984345159205766,39.18077031575786,36.02570669216438,37.66812383755275,34.68723081926447,38.87593110985922,34.714411909088945,35.85006325599077,34.31093250367067,31.37988667760358,30.685078243805325,30.83028258897272,30.257108394758813,33.828342366021495,30.93162029005327,32.61444285081475,29.880017138653052,33.84177198260797,37.6465302983328,41.05536120211764,40.909971130250796,36.383193796207394,39.099848898454326,41.694197503258366,36.76001593977729,36.65190609847131,41.44621458457823,43.6492182060017,43.30373830574926,43.84539648471777,46.179025168217876],[39.33730891643915,36.54926460502043,33.98728335377186,29.679490187136516,28.64859911165944,33.1878172615651,32.091225905104395,36.198732356646495,35.75836566362933,33.33971082941992,36.22354942551194,39.89359261046126,35.508543373237586,33.39013031212253,37.37748778544656,37.79974936899331,33.187642105031934,34.741259707422664,32.17951531712415,34.31938564084463,34.704660999593834,36.46946634801945,35.45043472107657,32.14413876812905,31.453205899849248,29.69623468206204,29.765780456246567,29.714719165962197,33.923861367451394,37.01257561957284,40.829503558664754,42.267799867311915,46.41031115819038,47.42657254846294,44.02086155189181,40.00949454736788,40.43099606876737,36.066920379791526,33.60826043041462,37.36795554724295,31.80142909869685,33.70531668227389,36.78845030860413,33.897184025291644,31.906932418774968,29.136881493014595,32.14867435026661,34.82640362637818,31.68493030931013,32.99085033146038,37.74688500674146,39.19633062075157,41.99923310653468,37.8863392715556,42.75261789437402,44.7714589932464,40.732424924736776,41.216498452628905,45.86039039553533,44.563262212820995,41.870339974232984,45.4972660388157,46.135586860902656,45.35741935328779,41.65775994325084,40.60131334163802,38.33052452610689,38.43592737795941,35.42663007618644,36.86002504825647,34.84880780269432,37.14277887598324,39.78461018772903,40.152723666839044,41.718044597840205,46.93383746374056,44.44106832817498,48.83922385775862,46.68039737637525,45.720596761382325,45.48184615828873,43.07897198144799,43.93660680108579,42.06258046551065,37.765983039596584,38.990475181532986,39.51666950115885,43.57031065744266,41.79614215454282,47.49417380925051,45.21414155873546,48.394405712024835,46.89674032469727,47.018875670044736,43.31059257922658,45.16285676485288,41.71422418932039,44.407745957604966,43.495765025122246,47.447072593222856,44.991730088485404,45.19794126130535,43.2308538106706,42.11070166055355,41.19842359374437,38.22663450906934,40.900736336301755,38.178792966458026,36.34905167797937,38.24125797923314,35.05546393628831,32.904261408184794,32.26365568980734,28.606819762688446,29.22905986643204,25.558996109221543,26.8798611892278,22.97391663853109,26.867303610029186,30.008388650746454,27.883659794210335,28.288874839103155,23.859018556068165,25.239560575984314,27.481058131090304,25.644173819800475,30.03648594823475,29.23496234353943,31.132505444944204,33.57524384549525,30.994831872351842,34.79014191092942,32.19934271538787,35.4360841228619,29.555963896838698,27.64973008115885,24.68910763333768,22.347689883909798,19.848838493541614,22.13107146514459,18.176745198385834,20.902357899930486,23.92419542103375,24.447252718085483,27.4827554937025,30.44262256826248,28.640790311733493,32.0174483533929,33.610393701102915,34.76413152187544,38.008156020541406,40.3570442057854,44.84104643328914,47.582715188887285,46.98673093155283,45.0977193146474,41.35193120306105,40.93380819195541,38.921332198919025,37.12029894822119,32.456796181438165,33.38998604888399,27.70583907260333,31.141137298366612,27.987332473965807,22.55149237163375,25.46313889090974,23.140009888339208,22.700249370065805,20.754694383344503,23.99660944538805,24.32824556224956,29.11573651809132,32.58189936922157,35.475671964839314,39.12717106551673,39.07750255409318,43.55305457315355,39.761868339898825,40.85801433771518,35.74242052599616,36.28387388802172,36.63456291131473,36.36420023325434,33.214981483859184,34.69452401937971,33.955035565889645,35.056851150542926,29.529130820515785,31.897054312195873,30.987196538356837,31.013662694799873,30.141174647540264,29.94117107324455,31.78896773746206,32.86580885418723,30.535684487605298,34.157479994940395,33.94590517811598,35.67645191231325,39.18923763757304,40.51132252928356,36.73595472952542,36.6399147868033,41.08423253633665,39.49518917313012,34.723963900337196,39.171881157722964,43.66430186280272,39.13362693391465,39.11903481996114,43.12983270773091,42.74369829087109,39.28861472141256,41.755434643726055,39.19304829874334,45.030566452287474,40.04447418750423,41.24548862015221,45.43506798597284,47.52039997464126,52.07542072555099,51.7139498339095,53.15191501967319,50.8992315483471,52.238608305699145,49.54456497057722,51.28417638586623,50.01366893553334,44.41571195712685,46.023453335486735,47.28338224256925,43.25994986085755,40.879271876146085,41.48443723955033,40.444181792416316,37.7804890291709,35.063030976117815,36.58061332013234,39.40688954657681,42.979971068251444,45.103191330490866,47.81589440309241,52.08917106307702,49.474107844925,45.34304159026353,49.41350898282419,50.904982923938086,46.10680028936308,45.58753757970813,49.55382198405176,48.761879361658174,45.50804081559625,49.575548004319586,51.548423078253236,48.29948845162027,48.23878360159541,51.570457738761036,49.01567658832625,50.566326769672884,48.35674061760667,50.39488992083338,49.92602105939301,44.465378025812896,45.493929118963536,46.49907665507464,44.05429925893165,40.55942328948273,44.48261017840326,43.63388489907905,38.62753994755613,38.26975933636552,42.09949048666548,40.438772433411415,36.778655373246224,33.96833000223544,35.026952761159954,32.330694293843955,36.83852721833075,33.14933075395528,34.63202578616522,33.72094745629227,30.38738437583909,29.4324536728776,28.990336535078892,28.560447160262278,32.4378514582022,30.289601828153735,32.07593427681271,30.03589615339238,34.04826595350616,38.080730416938096,41.40608982897658,41.802949733244326,37.23285050682227,39.610642112145676,42.603640768418806,38.062639932660844,37.51255481893365,42.17717811163544,44.76070061789216,44.62355923881381,45.367620558211186,47.679781121352306],[42.362575892033746,39.62710090035138,37.22586620192446,32.96559194032273,32.212023849154875,36.8198700013138,35.89244244687431,40.064913263465066,39.572131932260184,37.201365260776825,40.043557468597925,43.77303439267414,39.43929370047783,37.20044352519032,41.17551874468309,41.66954896458595,37.04440874241917,38.46090746876292,35.680761203527524,37.874713736823324,38.01029582777493,39.66706112766493,38.43478647748341,34.991099129124976,34.60187487669914,33.052674240150225,33.36157283690556,33.484049612049596,37.73669388178552,40.91541265962823,44.595135588749216,46.17664654458462,50.27954357576102,51.204685831028975,47.83592316286535,43.771908470069995,44.30435786078735,39.80280580333715,37.30944188206602,40.87834033359114,35.27034595683999,37.13123368196216,40.054545200307885,37.02853319262377,34.761108862757425,31.91678504693734,34.62299657833475,37.62701121861871,34.721354367392,35.62078008709861,40.448783136330974,41.97323092613452,44.854211387095184,41.07358514455001,45.97829037253956,47.80543642155516,43.74462393209471,44.50963563846599,49.08641741273375,47.507006448739574,44.97647662704991,48.684975137981425,49.4680856654325,48.431934826116596,44.751027010880925,43.94588656625661,41.609617104118364,41.927923629228914,38.81179246153129,40.37125504646975,38.22847896810897,40.32451234194703,43.12989594849818,43.39094519249186,45.20074947844889,50.30905431537326,47.89587355687509,52.36004890244095,50.23778668439948,49.2131926394533,49.13089491857435,46.661182500163,47.69091932107327,45.72356223750474,41.41578088639076,42.75193114145284,43.170940696330966,47.3395576072945,45.44215119794697,51.181636205353236,48.85007893233979,51.92677968641399,50.517636649341085,50.74955135388252,47.092225838892716,48.8834913782762,45.46026272673819,48.28746645366193,47.42288097536685,51.40266672900666,48.9722369036077,49.19665819824351,47.21272971753234,46.07600894783386,45.060449026501246,42.09791056980898,44.66430758996992,41.82397990264475,40.00384635641382,42.03686129613195,38.86381519129487,36.832628924086876,36.21243068604631,32.594694904464724,33.198259225015015,29.521965608737265,30.755423102553497,26.76931320323427,30.375950331339787,33.69547240557713,31.559159120770605,32.075230421461136,27.6902949590245,29.142401323144057,31.368323475694545,29.585581103088384,33.823139026107995,33.091063296773285,34.88068341026562,37.32685625138197,34.522604541837325,38.21865390980299,35.60786069941384,39.035269793353365,33.173084988059585,31.46249444588615,28.33441258247048,26.226022494133485,23.826229723016205,26.08534959055153,22.014048203769754,24.44515665042441,27.58847126050464,28.296842113831723,31.249849522975527,34.3215509376047,32.59091656664737,36.007284904986435,37.609657975632196,38.74512749481108,41.96071491646591,44.279364727129135,48.770462840657636,51.430880196215156,50.898953008981735,49.066882727195896,45.332967308169394,44.924968691913854,42.92068710727106,41.09627047189475,36.39825556717184,37.299872864013444,31.5810132454409,34.88696936085976,31.574281002757825,26.109913378839266,28.845595805529694,26.184187929604363,25.860001035659465,24.272433618617555,27.565909888896567,28.1121776208063,32.84606677543451,36.369606658716364,39.31677397366989,43.012998517541384,43.016538200163424,47.43372651063071,43.5542935012845,44.62782748635391,39.41384241336098,40.08177734533302,40.19600283078911,39.741094081038085,36.67485062307235,38.06465520236022,37.39929213376451,38.15914728215605,32.54610637824271,34.829436125993126,33.78010924098342,34.13697252352734,33.18184415754175,33.092453608241186,34.900669981872035,35.83839852119832,33.70479388952983,37.289099289653244,37.05042233001021,39.05084920721914,42.36181063832162,43.89962156289406,40.18271406882847,39.78587459318738,44.24028087325584,42.813489005825566,37.82964084987558,42.13900201634193,46.81558799845063,42.27594286641544,42.02958378773792,46.02182510795803,45.8175425227501,42.19478253404819,44.399231849168025,41.7831932504197,47.60969244328102,42.30447457926075,43.79923894936928,47.992276039164864,49.94783234120758,54.47692698489036,54.10332936419255,55.78410262952011,53.6205981710206,55.060670083350615,52.55812005411606,54.117358671533985,52.64765113841332,47.226084019823666,48.90588583639383,49.842390152266724,45.77491037122431,43.61252174072636,44.1353223652921,42.730964209889606,40.19888083456463,37.80397150670726,39.471488432172784,42.59319917390021,46.086850010868694,48.270284349135366,51.14118307683329,55.42812392911036,52.980344056638366,48.75986694928659,52.75385870553031,54.412384957511264,49.667616193868874,48.96968184413613,52.96670108972003,52.23752662584927,48.86278102769335,52.80571413587656,54.832621548772586,51.57498250531641,51.32178648605984,54.60252275307369,51.97990118514376,53.589222158753046,51.490929953058,53.36818591724412,52.74753337200303,47.39171888279524,48.399668765645494,49.14841301190145,46.68732680479018,43.30646407275038,46.981486630716084,45.88487747097218,41.03787232210898,40.7180655808367,44.21573141960502,42.37426305740382,38.83494751131855,36.204830856333636,36.74781457546094,34.129668602677185,38.79691665827646,35.40683071478779,37.25467237382267,36.59145412705259,32.953759376579626,32.06759429067359,31.34211434457698,31.182427460541774,35.26383195080754,33.5378589023174,35.44540039345219,33.64656289148595,37.56120709986804,41.722823573827355,44.980996742847786,45.54475955111344,40.91819730836544,43.1102394061544,46.19779947191009,41.75709819379264,40.96264790577954,45.56868739010669,48.261385906764446,48.17539893198128,48.96863458944992,51.26631399565496],[39.94170710355928,37.15149426712602,34.760079001971576,30.73154754319889,30.146039448408164,35.04712984666067,34.487002705295254,38.796098389729266,38.56139740430461,36.58935954692537,39.63573937492687,43.24960627283593,39.14000489057804,37.0702109635852,41.312240948096154,41.78523063599083,37.28239296040642,39.12681614755168,36.80660820390235,38.916231652292325,39.44471934473398,41.16995363347389,40.230930131293604,36.915077285763296,36.151888050004715,34.407334928040264,34.28985695188739,34.08839779657049,38.21316226498384,41.0828161613877,45.1072106176331,46.2835020219244,50.500513474522,51.73974191284285,48.2837353056867,44.368912106244714,44.53760132596043,40.37628526308131,37.85220219190711,41.50392387086598,36.07111833239074,38.237409981589565,41.29272093899581,38.30715974954898,36.34989264671187,33.38731730350968,36.29996944587441,39.08758943256043,35.7623807143263,36.76982205260274,41.65985223514732,43.01248150165206,45.98587290533977,41.95956055780822,46.76699056956428,48.95572841867792,45.05608621227653,45.55501844711223,50.232683498927784,48.99525559495473,46.463972385367825,50.16643488230782,50.81332952076792,50.13064961519993,46.39869714835406,45.27815258794963,43.08756915859498,43.071250971664604,40.06463018200552,41.312204917010256,39.31714916467021,41.601552135547166,44.30540160610797,44.841742724916934,46.31446777859142,51.62672294499593,49.10376088451857,53.450522288536824,51.229636498252724,50.22720468957999,49.790767057226546,47.27479320549587,47.88249216544329,45.85134350297052,41.6352008857519,43.034112711819,43.844916313564084,47.79354973079304,46.27341509399827,51.940182414824974,49.72079770566201,52.964562297615885,51.33845321444693,51.29510139778412,47.44204014402321,49.220737910678125,45.615731735487245,48.27864982146122,47.128930404207765,50.814117571707264,48.64995258878607,48.449712514591226,46.78207331774913,45.21514642808225,44.20895039836475,40.95715616894349,43.28148165362209,40.268240713009355,38.22507897661424,40.481306789151695,37.22961184636651,35.633511519159576,35.09999429282202,31.744219961295766,32.79637220220206,29.29484348427504,31.010738426399936,27.30325986117063,31.473202774021832,34.39473000014984,32.13221802463389,32.23676640692826,27.646395469002385,28.65874100147283,30.456313885542457,28.473355206445298,32.153668142173984,31.650276288624383,33.2550146279858,35.98709005489084,32.80366568738064,36.55952555150502,34.26062941421881,37.89289995721301,32.019948612053625,30.369933719937606,26.721399177192644,25.15860431295434,23.09062102646203,25.796178589499796,22.38499988205962,25.309136695612096,28.386493507343292,28.631369612635844,31.67604029536564,34.5426189445011,32.54674796472968,35.690412780045044,36.95169393806939,37.90087848626889,40.82139781618388,43.19447150294494,47.58613993663532,50.19788508165217,49.99165477743599,48.23414267672635,44.64792530828401,44.05615615392611,42.42593054787475,40.28021885302827,35.789766217301036,37.210271557662246,31.484901058506964,35.00514925495363,31.53909276573688,26.007167658444832,28.361088111638054,25.733518624803565,24.825497948402326,23.389041586754647,26.605201893657966,27.46081735257009,32.39303162459314,35.95821229760526,39.03725472966535,42.590484799371005,42.797013986322256,47.19887467856139,43.46466471431411,44.302512336465846,39.12517297538926,39.315628323934476,39.47483388405196,39.12809895699896,36.199819704278134,38.13345837190313,37.790747045428894,38.70083010149752,33.20302412226689,35.156338959265234,33.83888116401651,33.956978763408095,32.532885049820266,32.0806919733492,33.59565358438815,34.16273093134058,31.823203310315343,35.21592348195732,34.679375066646706,36.87723693115649,39.89839154137319,41.59172031212002,37.924101182374024,37.16379900783983,41.59676831235008,40.30850978561557,35.10801463649821,39.27531959599958,44.10818637643328,39.60168363205812,39.14035107119295,43.105847730579114,43.117029035353205,39.40687646713316,41.36621545398517,38.67609179715375,44.46437826213414,38.965420608020885,40.621983186183364,44.80796335233019,46.719577090916886,51.215554589160604,50.897940703748375,52.74231996209363,50.7025568124774,52.29260333586928,49.976441945935534,51.5283356389835,49.83649931770187,44.50650182626692,46.39464608329426,47.197782790703265,43.008562506435666,41.03317852254381,41.74058932267973,40.03342706988981,37.388874513717695,35.4322883874195,36.89572325389798,40.42083824495064,43.821190620222424,45.858450240205165,48.931065764004956,53.13961791606407,50.91944519412713,46.55431997163682,50.34411708999181,52.19922361260706,47.52723675761442,46.548835426379554,50.55417366023215,49.91020118373406,46.38272737632051,50.16789968599658,52.26062864746424,49.039386768740336,48.55330286241332,51.767336481123436,49.08513347274275,50.75975731762517,48.80382371462448,50.57677389050394,49.77169203958932,44.49880091172989,45.57768255969886,46.11637639800591,43.60119940976692,40.36965862844621,43.965687166199885,42.6447470987343,37.85867127664285,37.69992119490893,41.049436478546724,39.030881022051624,35.51284290527184,32.900439436934555,33.25359018353172,30.622400479964572,35.3349343749199,32.10103419026151,34.14333652235291,33.71227483854716,29.885022157294653,28.99048169427978,28.090149369809797,28.134846454806357,32.3642673287377,31.019503902658233,33.163426987253686,31.632943195705707,35.336806924497836,39.70607436002894,42.827811119641865,43.706756479657976,38.995778026411955,40.87607566141511,44.14624351887982,39.9758129607204,38.815834874673584,43.302732405090595,46.201356424417675,46.25316162106115,47.19506955868484,49.480337350519946],[40.37602016061475,37.80460264567193,35.90627261731744,31.7628972812742,31.9373968536206,36.547022357469906,36.31394362880775,40.75333477604944,40.26279395829104,38.502784356041744,41.476933227055504,45.21247370987701,41.44140662385147,39.05332575991647,43.46075880109407,44.20714651250037,39.8263729153309,41.780782996663035,39.54320021412825,41.96703480262307,42.5087138187948,44.49834505794117,43.43520026503862,40.15443217946034,39.52265324514751,37.546044346671295,37.53759260337024,37.08988692284369,41.117856624518026,43.909603149492135,47.66402176812797,48.98392688406795,53.12166641766368,54.514656342986015,51.215779174246855,47.345121915919975,47.61708941595245,43.663494599498044,41.29906914577913,45.22873405277904,39.757697568610645,41.69837858279529,44.89221296417573,42.041600231086434,40.07967546764622,37.24844788171637,40.18385764961651,42.954900908154414,39.711821776857576,40.84415108900183,45.697397848213114,47.07423271653791,49.993575386364995,45.87594903201778,50.69108734110191,52.85827223957347,48.87532791903924,49.282409575440816,53.961154122628486,52.73831782551263,50.0065788457863,53.548370520520514,54.04519358509649,53.3021776534112,49.67383055663118,48.51574714945287,45.975678752147445,45.85161168758295,42.554250281756595,43.58848721497795,41.43382428465007,43.48222648474118,46.455666744503105,47.245176150625575,48.88136415255929,54.31610437861214,52.08301460531375,56.434653479767405,54.407440953104945,53.62225826005841,53.21919877224006,50.8873571138552,51.39641951077496,49.54017181295703,45.32766044538159,46.507262806943416,47.26264000694449,51.079657998365526,49.4246888154609,54.94443452988408,52.52168972134884,55.5926342117893,53.82576894923484,53.73226248134646,49.77824406439842,51.305416000777804,47.59890434580947,50.58722577430093,49.39444835160481,53.04658417112433,51.27339084122592,51.10627067274407,49.7411120078603,48.13928740210615,47.465291476467726,44.00006876021086,46.334082223915466,43.349072858822474,41.01116198703052,43.23937736011436,39.72007795646655,38.37109827973381,37.499910907216645,34.38025258523155,35.26825959130621,31.881158924329238,33.7068367345135,30.083913555858413,34.1304941144705,36.93003425534527,34.408119585121575,34.406564374374426,29.824260157081262,30.826306250494028,32.48828421698929,30.947290900934732,34.34646728039853,34.334533393797564,36.04652582872028,39.120387665474226,35.88427659763122,39.78578298090875,37.75271512793723,41.35875011014049,35.47844369895292,33.6128372687292,29.772461768726497,28.29118420902392,26.10807671393055,29.022310232228193,25.69261658836933,28.853573037604693,31.673850682682836,31.85070825675356,35.07968444154938,37.692804255401654,35.57241657960749,38.53157459268229,39.76009778728989,40.3348860380322,43.23816567253325,45.2890219817289,49.75695280894077,51.98255436795093,51.97177669834383,50.512753811050324,47.028637209294594,46.629466376872784,45.15284877783315,43.19470068862877,38.9697620473419,40.47029372810705,34.88277088079663,38.59690645347656,35.34939279298303,29.850309905113846,32.259276395381306,29.76602964472052,28.638768279327923,27.096334612151797,30.229026807732225,30.98367404108759,36.01757381925855,39.50318104052224,42.49637434852899,45.93620423586064,45.962307969399625,50.541389137717175,46.99220606121065,47.86387535630351,42.822237803238224,42.737031178942765,43.16658306185078,42.97062683043041,40.03990882636544,42.087548138127396,41.66500364577766,42.753323345135506,37.2730844374788,39.28435579333349,37.98250950104611,38.00458025184747,36.49711340964334,35.87962226813667,37.25144898720251,37.61213854137891,35.035297124265895,38.23628275739154,37.32808470907889,39.527691393081625,42.292902833267526,43.93681312126235,40.230233812149976,39.19630443097433,43.53318699851356,42.124077526223154,36.67620225698227,40.75519237029808,45.61080654877517,40.836757637043426,40.14478299061286,44.051119172239275,44.05552877217357,40.06987221682087,41.83548735012468,39.28061699983312,45.09409343085686,39.63858173647367,41.673088732580275,45.81505981212364,47.91601276063852,52.23890093771199,52.24822011684045,54.3585952882627,52.578056302261324,54.417562369242226,52.305059573326474,53.97292989144893,52.00733420947002,46.75652497314721,48.94640040016709,49.67407550873395,45.32646743732685,43.57188545194347,44.54244183913438,42.508785207143156,39.69646410863203,38.27422035937579,39.37292735988689,43.26557440160417,46.59094523021018,48.34588281354756,51.56456184507502,55.60930947667861,53.522612523893095,49.06041443058846,52.53959400890543,54.45634657527622,49.79353462983543,48.542908526226704,52.38940530241049,51.6548582356198,47.98290464946838,51.7129223207194,53.675056023703625,50.264250989311805,49.710974384632266,52.9642990549382,50.3695711581821,52.3195039918733,50.65185776354579,52.45607137670986,51.280015989638606,46.06878242223902,47.484083192786656,47.752579566012315,45.053659443559845,42.18042634975938,45.804025569812076,44.04165040746686,39.31388997570504,39.59362602941529,42.72715501346057,40.30535787541565,36.8099731487295,34.049287025262366,34.075719317552625,31.156051333432032,35.79490436658408,32.639722783095365,35.12680440420787,34.64638080606984,30.516105978461454,30.035151921058574,29.176454487217928,29.739060425820107,34.15258451529319,33.06285281774523,35.609717586068534,34.00259456728373,37.27289440468387,41.91377429868821,44.865866507084654,45.84095484315689,40.93768919513472,42.49073161603349,45.74120880509372,41.643606015658435,40.06728742842026,44.46906295456908,47.41725789119032,47.51807534649863,48.535097623132394,50.816020906289026],[37.17315416024524,34.79546596872415,33.32564383776371,29.04306619192229,29.900894736168695,34.12958175510764,34.20336072766683,38.731950768771014,38.051549903240335,36.59890966938005,39.54808343307197,43.313400643282186,39.96371091014274,37.383681244838016,42.00795102154066,42.98637501711522,38.829212797929266,41.099090115905796,39.27050943132247,41.94119657052839,42.786199061448706,45.142676360238404,44.197765225065865,41.12507765829423,40.313786329893865,37.90512620785837,37.723954809166905,36.79790580961784,40.59859886167071,43.126636773353205,46.74129704171666,47.99530791032796,52.072970910093915,53.77306300386025,50.620425419652335,46.9085871063005,47.11888766661037,43.622022969628226,41.4811250311778,45.84932208863912,40.463949511688,42.23958180215411,45.71011160501919,43.148692027785785,41.48920236896271,38.85790624772142,42.076330117050226,44.50284637493635,41.10005806034915,42.707444318268756,47.44341244937722,48.74051833262487,51.53548821049818,47.02021757475868,51.75934749584835,54.12241906169928,50.123320291388566,50.139510584681645,54.865847162034754,53.97695541871037,50.90918091385154,54.1841708824078,54.36342132474711,53.85844273657031,50.33802291714326,48.868493570860274,46.061780991101834,45.56773400384924,42.10443055750728,42.71399543404098,40.55522116562959,42.541520645318506,45.614993491510084,46.82875320242968,48.3399973128871,54.00667663157697,52.00808946875356,56.25248007548629,54.395915551221854,53.912263797031144,53.340945471987915,51.2757393127989,51.44056528139977,49.86137349049981,45.71409000339917,46.55909820665461,47.4190597649743,50.91631320777915,49.31199979134568,54.5781331009647,52.019396185666956,55.00843200164367,52.97452086895168,52.669204899043116,48.544071620676796,49.83276860389118,45.976540146703755,49.150708205561095,47.814774372830634,51.32022761990381,50.028349819761004,49.79903269611597,48.86012537606157,47.162521736792186,46.96311064389942,43.22123963313549,45.607498115516975,42.753289992917,40.04710291818695,42.1364450786099,38.30633647095128,37.23041390625851,35.97807423945987,33.191529960956935,34.00067506699398,30.848248047249417,32.959339086136154,29.640078302736175,33.84004215841255,36.21610420503925,33.42271070914767,33.1023178786129,28.51789050062983,29.312215670830064,30.695082821986635,29.598699969800823,32.64155531635092,33.188552056765076,35.06837626310345,38.55647312510811,35.42310932317296,39.562875340723814,37.911887303410985,41.32378700161842,35.470911664487055,33.22776468545158,29.256850564754036,27.81642170764321,25.552386678968006,28.766130205961616,25.875786050204706,29.547523144748947,31.92069702541661,31.763322091099635,35.221531906675764,37.37725054130271,35.029928307296935,37.64332655309815,38.73669769575505,38.854024870466,41.67719303037873,43.38274805056371,47.88725369082414,49.727955574511434,49.94279044685099,48.791867603314756,45.46494660765166,45.240774869552844,44.01891011683285,42.24575673119912,38.436765175877866,40.14591633769338,34.81602105531962,38.84397893655692,35.97678656313067,30.60677375914006,33.099670788172865,31.06112821004613,29.51155481488485,27.619425073499418,30.550547903144317,31.07128404724096,36.22873641857096,39.544357136516474,42.39077206340675,45.605008331881805,45.42307034150915,50.209494147241934,46.99994323889954,47.87807005904921,43.12096139805844,42.530978381089845,43.47500879022723,43.62817169511477,40.66973835326762,42.998452982181426,42.4909475784492,44.07735215701919,38.751940870646806,40.82123666105761,39.61678129262294,39.21751891222221,37.623649009916015,36.67613422304375,37.86895063217698,38.07086816386149,35.03178067797983,38.004272128246114,36.66070067697755,38.61952250780409,41.234619569962916,42.62416884095412,38.836287186770384,37.73113381601766,41.93324095418813,40.24074318394604,34.695117325631834,38.78966781693448,43.497529586932444,38.42527820205868,37.67214179989729,41.52810271268973,41.360790307529406,37.20880250089464,38.99734895558277,36.64804275847982,42.51107001411946,37.43030206376223,39.606779798066,43.696453294137775,46.15770820600219,50.30617078674124,50.71360424691239,52.8828949122451,51.31659396210151,53.349862845532826,51.29481922024818,53.2767890548979,51.18577925246807,45.8594253133535,48.339201473879804,49.29823321474185,44.81105542653435,43.105307773346965,44.47620561655618,42.418068151370086,39.27095308741833,38.18007441545313,38.68617395345822,42.74554612848376,46.040892972914044,47.390671783034556,50.635411285794525,54.4598471180989,52.39451483824886,47.902554743624606,51.06486405741991,52.907486013107416,48.22514775974715,46.80050856487496,50.42618537815004,49.536909283644945,45.80389186541286,49.571405305452934,51.333906858325406,47.718816045815345,47.25611737378592,50.60066979751706,48.17171237038405,50.38668888376891,48.9551569056229,50.948087836260385,49.48409107267193,44.24493273024054,46.07948239260846,46.282863606884185,43.38285765675991,40.82312739836346,44.73090634790178,42.705820980530746,37.87672540471001,38.64132786640371,41.86961416249298,39.166082961344294,35.562056229732995,32.42637680108,32.63428101837907,29.274429403477907,33.65444687282845,30.25575454810341,32.90415578882241,32.12782935437509,27.921449492574055,27.869933408254656,27.3482695535667,28.268043482025686,32.70127858559461,31.54473883336741,34.472916329927415,32.60466037691513,35.40003801115953,40.24724606365688,43.03269159787289,44.006407092799115,38.940692490725795,40.231434107927655,43.386810972171645,39.33881307441232,37.44839634276206,41.782822126506396,44.71217743024047,44.84582205510036,45.92827382643506,48.21459786488218],[39.301166810966876,36.95176252726618,35.603463544592515,31.700813335529737,32.75483626090907,37.23323441451594,37.6428206159746,42.22424688081544,41.74661232099122,40.56039076767759,43.593050146968196,47.27327827696668,44.04439678203497,41.57212754762866,46.27242859614261,47.219550456463786,43.101538324464,45.46281428655529,43.67801828003196,46.25398625124258,47.10333303639189,49.33299122926882,48.40434400189234,45.26118508584309,44.45389868408746,42.17738885868394,41.93195008173841,41.05604033993663,44.85602533987998,47.30190077509347,51.077484337494646,52.166141475100034,56.294402951489516,58.06863524364076,54.85256791704232,51.17240303809383,51.22981036378135,47.7527956245491,45.51133132946432,49.686464685697466,44.363573451129554,46.35021710065739,49.729143245558404,47.02568615912403,45.298274092815845,42.4895517747064,45.576005960925976,48.167700164406504,44.69069682918224,45.986761986612734,50.83865576599278,52.096189016434,55.034669193094,50.677244569668204,55.398487877921326,57.82318564955404,53.91593088239737,54.04528758314706,58.78473824350253,57.84560818488648,54.96817217067279,58.36626583565676,58.63399531302883,58.12777410035022,54.554610577476915,53.12717724545122,50.443986741271594,49.97313447235641,46.563524384608826,47.167496308140656,45.02989043096606,47.01527444229734,50.09213003643277,51.30137448519668,52.78392382003019,58.44535252578183,56.370972086443764,60.60722834831784,58.66776806439104,58.078757904256356,57.41900029295343,55.210974101887516,55.29479337209652,53.542009955483465,49.440234979905746,50.48637349251098,51.50437602309433,55.0120443454891,53.5651190756051,58.869972755391245,56.38864415690292,59.43493403931945,57.38387623352227,57.01887433854485,52.851395734138706,54.13955887131091,50.2322063333668,53.323942306839726,51.86203028715467,55.18727856814429,54.00275283902832,53.49844170626712,52.67880788700972,50.697641904478274,50.321843507369906,46.47501813502487,48.57646096789504,45.5083921818784,42.757513874446744,45.120181602809424,41.35938464730458,40.632830307530135,39.564927254375924,36.93846602586054,38.042913651432954,34.96932351380804,37.22203694872967,33.95182407942858,38.25400960748259,40.61123668970188,37.83027366315617,37.414893135205546,32.78870774772291,33.39597512690437,34.53485333970982,33.24309305817701,35.81685363935778,36.43409225797049,38.037224757444264,41.5836228857696,38.04615809466434,42.04253569488008,40.53520778752463,44.22894019535304,38.43798651891376,36.48804254254073,32.167180177469525,31.245203710773016,29.306109901546744,32.629996991725804,29.925996238672514,33.527885531197875,36.076618595097194,35.860667298821184,39.24311177387105,41.467768968872406,39.07558739928825,41.61619104555703,42.51432323114905,42.60464083679692,45.18579936705231,46.96835558549746,51.35233301164808,53.15573313175233,53.61729099647228,52.506942412022624,49.28588380470992,48.898741502242835,47.89474689628296,45.849836235645746,42.08443144897073,44.047129138676794,38.64642500341868,42.62167348629389,39.465928511114186,34.03190617415434,36.152565666252805,33.83324319657651,32.133290076236044,30.66940909133798,33.59345037228672,34.49206095005846,39.65984873690309,43.062552088101185,46.05424417352546,49.244510770560716,49.289958950636766,53.95515150160976,50.710687635667256,51.4093993290284,46.55884581428563,45.86289740018114,46.5447866759299,46.560868189181804,43.774532599150916,46.316018070679895,46.08516903335689,47.41466594889662,42.07516361778786,43.86838309969246,42.390186117045005,42.15529615911557,40.24240876758007,39.21940660446301,40.212551385718164,40.086388884019215,37.189657165902354,39.98411662095508,38.49820457548791,40.82964651548502,43.03881986261928,44.751589726556816,41.125767101105986,39.517101544293695,43.65445064285209,42.28962251836593,36.51443905970281,40.272757267813795,45.21483258722889,40.29913030913295,39.174901243517,42.92023528517827,43.13554914521468,38.858122023097955,40.134584636553356,37.69274622349761,43.387376475691546,37.870194532974125,40.42538220851979,44.44382219208737,46.6604469603858,50.71728493857855,51.11258166573211,53.623857093896724,52.237924435123624,54.43902967617164,52.722404393479444,54.47175626083048,52.060405517202526,47.048048496174395,49.68389605647919,50.20590621447258,45.66101159233513,44.31966770565292,45.68606598868393,43.10623658205434,40.087214443156356,39.59566275423641,40.1503533303787,44.67144822098297,47.789868725914424,49.12504112438602,52.62065693949644,56.39373974418035,54.664428167772975,50.03734276626193,52.99132128540925,55.12738390806112,50.59959250265164,48.84888729395221,52.50000441222824,51.77038725992468,47.86555802554582,51.336397362295514,53.211735047482435,49.69551090045077,48.8533949909293,52.037166140650754,49.502630487327785,51.762485917779976,50.534119891461835,52.244147149099064,50.5419950250109,45.54880410896331,47.337879501537365,47.133796855800995,44.24218292532285,41.92134365142426,45.42968409146157,43.036994964474644,38.521531719866964,39.38921974080179,42.10025076579798,39.14186230649588,35.769650582398505,32.94887920865201,32.429612106639205,29.270068588732833,33.75014461671076,30.93403979055508,34.02634530660748,33.74845617513913,29.23459622547187,29.195802057139826,28.229489940631534,29.507946356755745,34.10133963081419,33.65512924230564,36.72056066948132,35.331897085871326,37.92444484664838,42.90797691344746,45.52331055901898,46.86271081061681,41.79499332918473,42.71655780004027,46.06392877688717,42.363968971050724,40.07864812927963,44.19690029216316,47.34472009453748,47.621579742424075,48.831853702896694,51.06197555563498],[40.497603543686715,37.81727885621041,35.806990403724285,32.15335810873724,32.277659687009766,37.35255786032205,37.462146836214586,41.95164716108198,41.873608503212374,40.46537023576777,43.63957639109883,47.1837224448079,43.50411119118856,41.431755715304604,45.96487226030533,46.55978166978968,42.244967051265675,44.451141284594286,42.47213521626503,44.63721756546693,45.38341674790082,47.18985001424623,46.350889137897184,43.08147786634324,42.207722379253774,40.33944109843371,40.012379477464286,39.531165876284916,43.50370952926385,46.07996736244617,50.24819561056217,51.150141627315655,55.412250095742564,56.96705270513983,53.51242899317472,49.743731888754695,49.651668185423226,45.83250884991734,43.32127233437574,47.00162317256431,41.72769710595814,44.07676921082371,47.1916150642067,44.20901375058006,42.36814405641266,39.29959663664955,42.2023861011398,44.98395671880432,41.451626474890865,42.324303478278665,47.286747360652505,48.52228946766183,51.61515683962573,47.55843096091099,52.275933372072544,54.685037130476886,50.91741501129977,51.31217770004018,56.033371431503774,54.9509886824721,52.46991858239397,56.16350157473935,56.72110692112509,56.19514698520146,52.464423692971515,51.192343191318734,48.9843524698498,48.74504707530143,45.68112982306862,46.62760218984309,44.6418931796665,46.886177259215756,49.687327205642994,50.512976462861204,51.87011138580072,57.34634109019509,54.87340364381648,59.1413768423002,56.91624316144814,55.96793351991162,55.289298612416445,52.749273989666,53.003295053557466,50.90747892100822,46.80428219053556,48.2638356618748,49.37706976949678,53.12137402298785,51.860303337126425,57.41575009500187,55.209835659717776,58.48525003087248,56.651135461908574,56.38136721784905,52.33827515210566,53.96333516635569,50.16642633220144,52.8533833789174,51.42395323526253,54.77523103905405,53.07172215192464,52.43524860335521,51.218304884652504,49.17088986070011,48.223742600457065,44.619203358224794,46.56882615492962,43.3161912470862,40.950965531356275,43.52781528790372,40.14768635889895,39.23482463989379,38.69767995173294,35.7818376274107,37.20797145570013,33.961304866430154,36.10538309834566,32.669980189950856,37.10964333752186,39.71315046801817,37.247319396666136,36.98849950568003,32.28738886051832,32.89752194283859,34.16914059443018,32.21094392438466,35.00110497907082,34.98696627505546,36.315038942882886,39.439320713504294,35.70495679926378,39.43094395482317,37.60312619815582,41.53732720720105,35.75839086011038,34.26874833168634,29.96838221573871,29.207793246985467,27.54270182979748,30.670173990079373,27.864261709594835,31.090579334183253,34.074746272782335,33.98389729155189,37.09942436421085,39.73270380931977,37.49747670315458,40.29918842580415,41.18904598059089,41.78465027252523,44.32389119384919,46.59394372182491,50.866045658066675,53.197114133238436,53.48000535856849,51.96961409070696,48.618787638868405,47.90797250274387,46.75583640457531,44.33488611432076,40.18124525155409,42.12742149347016,36.4740123185425,40.15134782380995,36.53541405909557,31.012464972751467,32.85163805375023,30.13162995894879,28.662039904506617,27.629103106218164,30.685767463628746,31.944632322942105,36.99431177245744,40.570775382360196,43.76493213909852,47.13109939207294,47.526064352919484,51.903325963172136,48.3466460017119,48.924316463951016,43.803798762662346,43.482192231821415,43.6085426593768,43.29828236532172,40.61199741184368,43.06582260695834,43.078997426607515,43.95459875584037,38.56504623731622,40.13059608194376,38.46348656667098,38.534598485032454,36.55524461731916,35.74743616508473,36.83002649771795,36.78498876671048,34.33147939891846,37.32434273038962,36.285513331466156,38.89540133310002,41.25352197902872,43.269168601494194,39.75492532100338,38.21823094730921,42.5187458876674,41.51454346338914,35.87540461077188,39.62747028107879,44.747209411095426,40.24626832076167,39.23457169131539,43.061090651522164,43.50206006785115,39.4932940255907,40.79639242487634,38.05853837643852,43.701801475681506,37.752953515994335,40.01369010202176,44.11291177115693,45.89356902288374,50.207239638953176,50.07737871162369,52.435160563476984,50.754502601662374,52.70047587142131,50.885592797138635,52.29846438342561,50.067927313450966,45.10682809754903,47.40447227123114,47.71963739342179,43.336282391833045,41.90327475296912,42.85452648910157,40.355002736168906,37.67253118130205,36.787757263907295,37.960667815513695,42.2962059894105,45.43837397887293,47.216831024628156,50.68375801636008,54.70453702650868,52.96912261047595,48.36976414807539,51.69091954033871,53.928262364975815,49.440229264371574,47.8870375387439,51.823770963203586,51.30981864227544,47.48211735535191,50.90126558631693,53.05154021354282,49.83215276876124,48.86999774514104,51.93407647817489,49.17926520524362,51.072245555711305,49.52126715424354,51.01500753462675,49.712074537177195,44.72810320444852,45.989354074525046,45.923294920599844,43.28924284379664,40.53949055586519,43.7642239668806,41.77314077120276,37.320369617948366,37.578456844943304,40.28245402462687,37.73625124609063,34.44000357975818,32.02615327223435,31.481275383160227,28.86152795024844,33.65330854410382,31.0304145057884,33.78977371991944,33.87313905273927,29.51987640809945,28.86301781733973,27.516320548482028,28.275702619963837,32.81590446200969,32.43473441191782,35.05295696567807,34.03320309919092,37.175186611835585,41.91415471981789,44.71303804828112,46.11825872005446,41.26269402115282,42.47661945557964,45.98750444752787,42.29878130809126,40.38089979806289,44.57364997677408,47.78910183431341,48.059850422569816,49.229254951642886,51.460117021882155],[35.0930645305358,32.32759830463671,30.18138034348592,26.459419472687806,26.500199799097736,31.572117791241155,31.708681930322186,36.2085205875993,36.23707925883039,34.9976786269872,38.26991977500071,41.703289311477555,38.16061571947142,36.242370009537666,40.89584631235499,41.45842770477351,37.287969740316285,39.824196194597555,38.32371751691921,40.4437829446405,41.61007098022559,43.61110113771642,43.09088890070032,40.07109648583915,38.78352078691021,36.58214366144329,35.86158630445162,34.99374782021182,38.77366907774711,41.07020597887612,45.418083008869836,46.0285554399162,50.325975035278006,52.12721910676504,48.66661573401525,45.06184344775021,44.73541224178524,41.30609727891947,38.9056173266942,42.881031236218305,37.77572538600634,40.17860399138032,43.52383126105737,40.790397870690875,39.393687777343786,36.45827280459068,39.742002887632786,42.04169307914392,38.1759193520243,39.59382228835751,44.42442519742769,45.517468283332654,48.49285784147816,43.96711965554118,48.566985635907095,51.29020705702641,47.5993493821198,47.54334689413561,52.33509769007647,51.711305645826506,48.99559942858706,52.509886911147014,52.80504692195823,52.68900468830157,48.98095867056944,47.31336538453923,45.16394155595926,44.53749478223599,41.60429609465923,42.22798349163375,40.43686824498735,42.90176639105974,45.504533057041186,46.60026857333548,47.57694421632912,53.23028779240702,50.71800477728333,54.83285955602827,52.60037784596627,51.805454390822305,50.83865460954118,48.44295613687678,48.31680631902851,46.390960215858634,42.37003699843746,43.62992967729046,44.97944595458035,48.43444625717321,47.42475085492544,52.8160821615238,50.67618312508402,54.06355270793793,52.030821501529765,51.52437375974587,47.357946472979364,48.982117795252094,45.093063119987264,47.61425189325435,46.0220256385995,49.21016319066355,47.67551384739468,46.881936857814196,45.88672553572584,43.71152301966136,43.00958635299426,39.23710920282951,41.249487739074695,38.11010243874128,35.54938276578513,38.009309080521405,34.491237719866724,33.676288068757984,33.04780674430105,30.292135885453426,31.88573492686563,28.813173883980763,31.276301783227165,28.165604758863378,33.02222468296897,35.17953315439334,32.651805088398014,32.05958507921231,27.297675245865598,27.587066465754624,28.60769250697,26.630149656732836,29.252468623428314,29.41035909374472,30.836596049190163,34.18670020313325,30.590805991981505,34.538119577039694,32.94119811128972,36.670152727278335,30.88488499621712,29.101578401470398,24.72502874750595,23.986518167109647,22.382095675635966,25.77353949795076,23.55829883700382,27.282814277006185,29.941226087226013,29.423162242158224,32.65605317230063,34.94979449635736,32.51814979219441,35.0594097658538,35.7758601456921,36.20312193719335,38.64559765679008,40.88150050754623,45.12522761613458,47.445978916882716,47.80266411664836,46.32357549649769,43.049983376699835,42.314684103889434,41.34118952581344,38.899275718790705,34.985060977110095,37.181144554148126,31.693510151969377,35.61451400019189,32.25843308634107,26.857679950968603,28.73238748771861,26.530949353730257,24.617143513866566,23.18103172094262,26.060175686135196,27.143678106798987,32.30605037318554,35.758930909295124,38.87482827636415,42.067966912049414,42.40984975125428,46.87479165637183,43.56365921023157,44.09797319664658,39.20062747572835,38.46044819898137,39.00142622934802,39.02284060119186,36.29223709155597,39.055122135119134,39.05580572343369,40.4488621075596,35.26831985557183,36.83850234891635,35.29100517843975,34.83638064348691,32.79951090432124,31.668515442799873,32.65150490448006,32.60834300814173,29.70444297145559,32.635669868183896,31.395159801622334,33.69799144092639,36.19766583622518,37.941588663347865,34.31295403123644,32.99322570296667,37.29830225298095,36.04079743912669,30.48575435762229,34.44749657917864,39.408672031566354,34.79038153653666,33.98491299995788,37.88161164710335,38.10717904566381,34.19129389081544,35.808478291019384,33.11909037277155,38.88524022785061,33.31770102049145,35.28747680003541,39.43722507486134,41.50553644735104,45.86145650933706,45.85671085011234,47.95583499835062,46.21854531140808,48.13225344170005,46.10939184132291,47.84864806109472,45.77927126020717,40.53646675863487,42.89237577939678,43.66402445640814,39.22927305752922,37.551693423169134,38.77736783683204,36.64988424259805,33.632222941956634,32.52842144248048,33.293502836855545,37.46941521197294,40.70162483696883,42.27030818615959,45.622702667153135,49.573514126504826,47.68221873184879,43.119341156737576,46.42294982932714,48.49674974059419,43.92954813640527,42.462581415434755,46.33967310403532,45.72669687781532,41.96092934947765,45.540078893055394,47.608345894241076,44.331123438299855,43.56940789307859,46.73932094924259,44.07012885796192,45.98813426574828,44.370950979735696,46.11286286158417,44.881385489429356,39.7090482942252,41.141806145183885,41.34938727581168,38.63501639008115,35.81031175661619,39.47491825361676,37.67574610624228,32.90641303009591,33.29313150780606,36.496216980700034,34.04674988004604,30.480885325620303,27.64438820489373,27.848211087353285,24.903648188880478,29.54560921084905,26.381375379771395,28.805711986147816,28.553229969321034,24.401322042258126,23.73575455032853,22.7698004666937,23.357480757150416,27.81397898742856,27.00001616698939,29.71353353358102,28.422736987510987,31.505258780437284,36.26308540626627,39.078018531204755,40.39161432431512,35.499997348990725,36.77953346887717,40.239612787406685,36.50371595045328,34.66174042146192,38.9196834124059,42.086209317470995,42.348577290145016,43.5259324412156,45.78614443281439],[35.06218154911625,32.57683264355606,31.07724541410058,27.489143096939266,28.507154921269542,33.258626180922874,33.944370315369945,38.54581691855301,38.430072956477424,37.62078144860098,40.84761799179639,44.30005794957293,41.24911460200965,39.11445727797782,43.96631644918007,44.781127126681405,40.82891358984644,43.581615243928226,42.31125528758783,44.6712570932629,45.947959113476756,48.18425246545809,47.63112141628315,44.67428478247094,43.42160066180015,40.99401368566223,40.26829542101309,39.10554136074896,42.7137650537037,44.80528118384489,48.974845494193104,49.56603793885181,53.79104822909082,55.845563151541526,52.527949191748284,49.0460447667481,48.6922661953528,45.5979186174807,43.35045510737198,47.55382280096676,42.5024404694178,44.78092215892034,48.258021900175045,45.65343797542116,44.31971435348478,41.46183720218784,44.784252119364865,47.03752022871293,43.155893758812816,44.665323919525214,49.47671686360844,50.53836571243473,53.49574274112134,48.85833372214109,53.41660381977991,56.21454102246263,52.51271102922769,52.313019374284934,57.11676629561276,56.600819020039225,53.72774869179609,57.09323766367852,57.21589876670252,57.14925175799141,53.528278642839695,51.74811047366238,49.339956115848324,48.521521342788226,45.37690797412497,45.69730678861242,43.822057209237464,46.102085090534445,48.90459352899084,50.31961825761443,51.33389635872916,57.13633245313542,54.867652572527696,58.928626757806754,56.85167309143936,56.262690243364744,55.214957299904235,52.980625270121735,52.623648090373365,50.8444117064801,46.89326331837572,47.97225321481388,49.38904123390417,52.62864087926383,51.62940093529394,56.82705048047998,54.549411605575024,57.812334279745265,55.580443359993275,54.92666988927954,50.62262994560262,51.979080136346944,47.95623649183942,50.70609102996273,48.96896295868048,51.95795418055573,50.94793217883267,50.01181870708834,49.461075197119264,47.09525690781411,46.72579202883084,42.67948323608396,44.55454012323779,41.41147969633503,38.50200114823817,40.99693455755805,37.24177341437679,36.90363233934665,35.98887509230933,33.64970852270542,35.22007132813172,32.391584952146985,35.06186788969772,32.163386116663084,36.98440405733005,38.892466891392836,36.121400977316455,35.3023569228409,30.586619145257018,30.70006526760274,31.378891379233426,29.827029374752293,31.8152468916499,32.58557551474625,33.99042499248797,37.72343439305009,33.98504188491445,37.99604766744069,36.82306611177569,40.549579977335334,34.875717966844526,32.972296601205734,28.34001990460704,27.9288292868176,26.390907670915976,29.994712486747805,28.05676649364287,32.00181662723293,34.41138260556064,33.73261706061937,37.09990143591919,39.08102296934897,36.490501422537456,38.719375053173465,39.25935498701665,39.23024727211499,41.47574502652831,43.366893530420974,47.57741446628299,49.43688246603082,50.15775991223576,49.03960806290212,45.98035726705117,45.36732711707006,44.7214822696559,42.36557697728011,38.85597119181635,41.27846155308552,35.99676851812166,40.092410362753334,36.91366555937074,31.60639761414205,33.37171392574157,31.303659359189634,29.097779603664353,27.694038006032706,30.39398797059206,31.473804100207445,36.67706889290569,40.01848416741834,43.06145393524882,46.05658550353594,46.30523869033192,50.879644398905036,47.82529545007661,48.29582286561192,43.5860149959863,42.431335060801736,43.217563681433404,43.40259413128002,40.76372250691843,43.77037426865643,43.80996427057124,45.36311909289549,40.260288504906995,41.764230145853496,40.1506138935158,39.57774421884167,37.337998924800594,35.96691236932702,36.68422755106522,36.283171630553554,33.15426410239634,35.719533034032814,33.97707356424388,36.34067824471244,38.341271216325,40.0934091600937,36.5334844978591,34.725418358072055,38.81319381813991,37.53739812025003,31.6959618299911,35.35984998780291,40.35776435166739,35.54106550142083,34.33057771973427,38.067553059796346,38.431040562831456,34.194770408232124,35.36849543376314,32.8345231471083,38.51220754846204,32.93117755672171,35.4514137085485,39.47713561334244,41.70227408540719,45.7800053524972,46.18843381435044,48.68055892611295,47.33205935122956,49.58829365753146,47.9304908849821,49.753992697418,47.27909111146048,42.26968558232129,45.030890790245614,45.61332281309124,41.0127526765003,39.72634979474383,41.29763666924676,38.67661543829236,35.493840907296615,35.25249184234507,35.51476594736048,40.21517035418124,43.253318492433316,44.42383366485656,47.99592166182444,51.680069904979554,50.08427192000294,45.404903662329296,48.211841428956305,50.441677580215234,45.99079963984364,44.088358539777616,47.740934580372866,47.08926261367109,43.12496288082391,46.4904400447058,48.42957651549301,45.00292258535081,44.021829881172856,47.15299783486706,44.575101086345036,46.82296872084067,45.63983303980424,47.32174463232702,45.572296949351596,40.60312870501004,42.43243343710011,42.19046198528928,39.2749450734451,37.01436666247125,40.576192987442425,38.14724943749577,33.589772637455546,34.579958047452074,37.35321710394569,34.35543210150764,30.917258171532737,27.999006195824666,27.624720213719566,24.378896672337678,28.856036024691,26.00009358861353,29.080820667478683,28.950071197930782,24.398044114929604,24.279607561847932,23.26214275953261,24.627527726644907,29.235350371785472,28.99661921605147,32.19585615933511,31.019432420635276,33.41824624456208,38.47202761766075,40.9697288971545,42.539726008073856,37.493066761370194,38.20276905485185,41.68427096889485,38.25426613721359,35.77224642092509,39.776355482637165,43.07356616626676,43.465100832968616,44.785845008588986,46.997653848469305],[37.54079139907185,34.842336698542724,32.92488743731736,29.86081002374237,30.281222019326616,35.61806585600282,36.307574527601915,40.84357113149213,41.168334740445374,40.38168415846796,43.75394731989413,47.03524718924304,43.753377782860746,41.98843137229946,46.75850558539322,47.29729812337864,43.245506178929325,45.950715391577695,44.58872715734408,46.59235556159521,47.8143727863679,49.673084091183284,49.21050121624716,46.13651103518419,44.82347238379166,42.759352389127145,41.91977390792961,41.05702761492878,44.769221816743375,46.881038986944695,51.43786590093749,51.76933421470365,56.11798065708689,58.072792015787215,54.54528215343866,51.036960512863146,50.45863521021773,47.16095959520457,44.66341744684154,48.37527451624119,43.4351883359803,46.11455900549507,49.3435866099778,46.46456583074927,45.037626104492,41.89237944582329,45.003583887574685,47.46452381054967,43.4800811991821,44.493182357393835,49.438200699192365,50.43702556610645,53.594214847030905,49.26926926972896,53.78631844896687,56.635764322115676,53.1189181485872,53.159973111132985,57.952257067032896,57.331229080027306,54.86829047941966,58.51357557044528,58.88949087613982,58.83015192795322,55.06770738517976,53.40833761985614,51.42473015337471,50.7708530728929,47.91091499630498,48.45943867084812,46.70862443719493,49.1701963368667,51.779146188295165,52.929115544912555,53.82398560708962,59.49354552695813,56.89132636175717,60.95646984323791,58.61978552853469,57.708481265567485,56.56850961430055,54.00543325202021,53.68810732328142,51.546086955002636,47.64821913235594,49.15838407354913,50.76755470836208,54.159916157111326,53.42146151263269,58.80787700631638,56.787756666075396,60.25386141296723,58.15962748804635,57.52544911658517,53.28456330264313,54.87986262385124,50.90636396903672,53.29849539383115,51.497060268959075,54.363247176089764,53.05892941487725,51.822226619623564,51.07880391180981,48.455864579369575,47.543333446691015,43.60634961287077,45.138829791422,41.709529300399566,39.06313167287935,41.914403208230375,38.52030603469801,38.31246182907108,37.930383021447525,35.51225037561795,37.513552260318676,34.631970027345204,37.3107078350052,34.345544078852825,39.31921333602661,41.374176508701524,38.83600664608104,38.06719014449975,33.290748147152016,33.28879606271793,33.89943216852236,31.738902363387332,33.53012632774717,33.87404978349311,34.85125617550524,38.295818850629765,34.1212015267013,37.794629539281694,36.526822207892984,40.62341440535349,35.047637235411095,33.713271182447336,28.86619542097117,28.979708806688876,27.89302559081283,31.406638352471056,29.55947534001929,33.19127504671935,35.99372982564823,35.35078474946911,38.46520295684826,40.76027403883054,38.25541801705772,40.60118208884971,40.987407991166656,41.30486842285443,43.329358671977936,45.6282426306404,49.646839068062015,51.86650230400155,52.63076180260505,51.25060199937425,48.18610013234702,47.21779779784977,46.63060988837637,43.80967878669093,40.07782898234434,42.67370405770612,37.19537963244666,41.029422078315726,37.34120621035271,31.973004966060053,33.23195849522072,30.716962459244154,28.53153357380329,27.77519129103954,30.519742438314257,32.13314352068608,37.223652518175626,40.72850122303514,44.00781471345509,47.08948049740988,47.7587066900011,52.02094452063921,48.73902726041588,48.97979142637104,44.03752125229637,43.05230118666643,43.24765663611275,43.10859030379901,40.69343813368657,43.81385036912167,44.24143030181635,45.306640917026925,40.20434633740318,41.319427618343596,39.370426420682264,39.10427890231956,36.56185992927113,35.26250446386982,35.86014419455226,35.23739920639406,32.54948210479015,35.08798591337264,33.56508865553977,36.42289520951587,38.19494917865366,40.425800466221936,37.103559340859135,34.96327529469931,39.09761768854452,38.37164601017471,32.50966516789869,35.86701093194888,41.15424196455746,36.827954862917004,35.43147713900985,39.11433495602163,39.951664525824775,35.87753227537718,36.66613452829357,33.84225963241746,39.29285492954295,33.051123811308756,35.61475712390438,39.62265588837494,41.289326204249626,45.48425882552506,45.46504384203327,48.100758700495035,46.67055378999965,48.85889486735518,47.40089600905967,48.78266375544567,46.19257949199433,41.48853895078098,44.11364265665238,44.19037968072922,39.673201996847645,38.62053722992595,39.881825045586,36.89806506038715,34.076809220438584,34.04882111595585,34.80242037871233,39.71843987755861,42.616764161874215,44.09865958391527,47.83545619962468,51.65032039396666,50.3212638082272,45.57527229399473,48.48347627895806,51.0116999368098,46.73105993032679,44.734959986182204,48.609444844654206,48.25108964265954,44.23715140754534,47.31341955672231,49.5450816857452,46.447046428272586,45.08563800677182,47.979516662166226,45.15820192394531,47.14026764480771,45.870255776290726,47.153873112479005,45.534650220765464,40.792175130132534,42.16195845262797,41.702378397401645,39.01044061649303,36.61514929468805,39.61600901500739,37.212649304338385,32.98234281560949,33.57007912236055,35.903409605546955,33.028092674771656,29.856569352556054,27.557622514058313,26.548257368803235,23.96350516199355,28.74665454855287,26.573526068364643,29.694414691951152,30.26018899390171,25.674676837657586,25.049403284225495,23.357288490393877,24.574243094673147,29.218695528290706,29.612105179828127,32.542584143753466,32.03750800001355,34.6773936476559,39.605492752546986,42.09522692121741,43.986376969188626,39.133547466050196,39.78566101353889,43.512800777476784,40.373039038954275,37.907137966540716,41.77647861253055,45.26384897330517,45.75527604565692,47.13150172598026,49.29256829332675],[35.90338983951233,33.00538931735317,30.670239715088886,27.692421050290132,27.54865287149793,33.160637706612754,33.6694875188575,38.13403735127663,38.686499607792236,37.83277657741161,41.28653779864507,44.44848104340707,40.996801556532446,39.49447877755968,44.19200485414434,44.54293055827027,40.46809930847558,43.20140543068264,41.93469582398405,43.71334071361265,45.042416829251444,46.77107474535748,46.47898498735615,43.46444879230648,41.96214899739709,39.97023696538969,38.94246893044086,38.125370525826824,41.82444282456243,43.88695386856219,48.67481925571399,48.8152064840539,53.2243613609154,55.15068831105999,51.52064206985668,48.042240886470935,47.31246422668262,44.00896405818077,41.43820706895313,45.018497541434535,40.18786053693333,43.04453304611934,46.22679129831307,43.33270224931068,42.04258793440286,38.85086706489664,42.02174474517869,44.35608252715663,40.22677258952853,41.27217743378264,46.19355242863941,47.12471092753509,50.28954467608806,45.921553819745874,50.37840196678706,53.335512560001376,49.91976044188912,49.90118182158137,54.69830107874486,54.19512492475457,51.82348112809481,55.51911012612838,55.92454789715012,56.01448314109588,52.20340728298561,50.46826062323835,48.73726611017608,48.047753751301755,45.41667461791261,46.006558756654975,44.411306203643925,47.06477061563328,49.45274756154163,50.51423344207464,51.20340515497283,56.827833731058014,54.0347736918125,58.043740694508685,55.58009302705349,54.56456438467676,53.31384864232365,50.66164183152919,50.28566479701394,48.05763356870693,44.198461910686255,45.8183868187951,47.55222039986866,50.93655803933821,50.377538054492035,55.80236546467028,53.941668323069536,57.54394879031594,55.48944126942572,54.8211123065892,50.615277560677825,52.36947988195669,48.43795236762175,50.56579058724366,48.73823742177199,51.565540796994284,50.05618758631992,48.722796756114036,47.85279981021984,45.17772066369153,44.083726548798715,40.219980313922385,41.722511612050894,38.25996988326649,35.74450697814664,38.63857316578076,35.391974929965855,35.09863900430812,34.95106471157306,32.44906085621116,34.65657854943843,31.7762991235528,34.49716456125027,31.606111543552277,36.75911905000974,38.74577688464658,36.3590337513563,35.55178645885051,30.764234768096475,30.645203522225053,31.231035550328915,28.73619894883008,30.586084069266395,30.650912691381563,31.531031575652488,34.831623528056504,30.633753409316814,34.26741990496247,32.91184491492078,37.034171175423154,31.460767914812408,30.242602127309855,25.39647460780088,25.608552296300303,24.712306582296343,28.195694333497705,26.569202605614088,30.176026104045313,33.031096234345135,32.28277234330605,35.28778469389915,37.63438225562956,35.148463270874934,37.51286257426481,37.83559221567882,38.34965285787726,40.326218519964776,42.850268493308214,46.801974477843885,49.28697915830796,49.956438521676,48.38391783255981,45.28148900253501,44.15583254920896,43.5448751752968,40.55203700823274,36.72363095600077,39.38752998030445,33.878026629545595,37.64184488530921,33.852435980541266,28.52038837888996,29.64219470057956,27.157249880844866,24.895486558153625,24.200535344896306,26.9250329826661,28.647452690643203,33.70061466578418,37.22966476411902,40.56386511806398,43.66003289449768,44.46795522280597,48.6173589327608,45.28447805183874,45.45980120933213,40.485374305074956,39.53130620215684,39.62559588864145,39.464712937697165,37.07333593262603,40.26197407148537,40.79142527495002,41.85597381695524,36.833129147205085,37.843862741480876,35.86845148574103,35.5231632602045,32.93767146238474,31.613199769885124,32.227021806109576,31.67031680726516,29.01017931727923,31.65621322187977,30.306151593047037,33.1619777556096,35.124444469080444,37.37588245933374,34.04700943212459,32.089835050581534,36.331882865790504,35.65897451444174,29.93429056746304,33.41893082917304,38.708846734395564,34.54160352936313,33.34259908836295,37.11106260256495,37.92552184026923,34.058345837651125,35.06276416764402,32.117376568119,37.61126982345717,31.365448665174863,33.58296573821575,37.67025677956361,39.25976383071457,43.62942240132363,43.381065355107275,45.77402530399955,44.12834118060695,46.1424728240182,44.490975068518765,45.86327967891802,43.48163416999534,38.62667766126178,41.07561395656622,41.29552842118152,36.83752664110163,35.57246417489222,36.726076947584595,34.0065900393374,31.19583258397186,30.77213879587065,31.698190128753833,36.40687148467425,39.38605063106603,41.02883460796433,44.676822502504365,48.60910139371033,47.165655523262245,42.46129762675042,45.59198064092448,48.06958235435259,43.75565265093719,41.94271143781063,45.94384651597029,45.63790947487362,41.71509991236704,44.87001201503563,47.19724419090371,44.21963983542031,42.93246806951996,45.82946175816478,42.94198053029887,44.73137984290701,43.22872499254033,44.541273950900056,43.20233463573761,38.343921571894406,39.50329844482786,39.29512057844776,36.7056265877278,33.99739016674768,37.09411717737437,35.0501693900479,30.657868399499147,30.936943886177097,33.57302601651606,31.00828136499471,27.712619746537097,25.41087458594745,24.832379154242165,22.38697806295697,27.270320830531023,24.884211527573616,27.606156556512442,28.17097566237477,23.811597970363408,22.82051151934505,21.115009562952174,21.902063639146427,26.478247301629107,26.655920528460502,29.36210861251072,28.916516419208516,31.84974614486862,36.63147681292534,39.24425296184199,41.09064234060439,36.34519290355066,37.22016114944508,40.984780697687526,37.80027306093269,35.611181180896835,39.56137787985027,43.029348344178835,43.49704203941343,44.83722292610674,47.01200511661387],[31.508068533497134,28.760923156327436,26.8534550493677,23.927134978130358,24.573156750389373,29.875355328974983,30.86990336505773,35.41104569376813,35.91269690606172,35.55174528645357,39.019272480767185,42.09950914539744,39.182846825202816,37.619360355206545,42.539815804830056,43.08150487061053,39.32639872364185,42.464570072109616,41.75079027489684,43.70575491728829,45.422433724581005,47.507300451997665,47.406392498060434,44.65111368814996,42.90365723333541,40.46985943840834,39.17602275992485,37.81515254502301,41.19249211886443,42.86403829270609,47.585283981437215,47.511104350954774,51.85891518615297,54.171080725271075,50.685319836963835,47.4470510788653,46.54801987364001,43.84558226496667,41.52831026033244,45.547834882887756,40.90335271749137,43.62052275847027,47.083178686384535,44.52839068812789,43.623670347443856,40.661172639380446,44.13485657022062,46.044576973076325,41.721778526174184,43.30202598751517,48.052627193633995,48.86563533994772,51.876560363421866,47.06270696364858,51.381663995338705,54.59596927171438,51.214258452181205,50.72605249908351,55.55910667411341,55.48414502896551,52.775141925788176,56.17111453390452,56.220130219869304,56.64192371601543,52.95020440431164,50.838311333101245,48.910746792011,47.77792254371664,45.07104601458742,45.165211638188445,43.65314752365845,46.29850081972696,48.689607311185675,50.209507693755505,50.654411283703396,56.50933964830687,53.92237174669367,57.759640087215686,55.45120920721818,54.75237077407857,53.245470602059896,50.8840735039274,50.0410666142943,48.120600375897354,44.39489759920902,45.65062045505154,47.57686547057201,50.539393868323984,50.14684661926813,55.252279159629786,53.31485132014936,56.86855451935142,54.50894766390236,53.5499952644355,49.157299251755084,50.677204566976144,46.58614126672521,48.77970445503914,46.72381405812854,49.26421004259704,48.33358200061555,46.79655937654492,46.47948839456369,43.590241531111495,43.029790982416145,38.81500309960527,40.290172897543634,36.97171178427798,33.98019028264048,36.753553881927395,33.168605906882185,33.34824402263682,32.84406245913766,30.847200828946924,33.121151865295666,30.61293612675413,33.71744575769815,31.2829602365033,36.64214049299746,38.07163481919783,35.45502813187749,34.2177689757409,29.480202680228764,28.966462716312456,29.057401801837514,26.957507609951854,28.11338365061665,28.883787815777822,29.86307809238924,33.68696311274214,29.57559777252917,33.464742776816074,32.68111734867102,36.538863135150706,31.09326402635762,29.470936863746932,24.43152498956505,24.88240979873194,24.063578626444514,27.88020734234132,26.94463511740848,31.06848804989667,33.39929546558986,32.21204728224458,35.406840616318895,37.18817497875826,34.43910044345525,36.315043235190295,36.36804381081609,36.34081851981821,38.08371260533571,40.25957795690531,44.16530750111567,46.23923894070653,47.25418696670981,46.01866108622022,43.16107277975365,42.148873017230706,41.94202614232153,39.0637959506424,35.80660905124805,38.8071223527595,33.66743794612099,37.75268655699462,34.419350060664456,29.342986045232557,30.475657146575127,28.62016587432431,25.83341473059304,24.746140606223616,27.116936162220597,28.58620762814472,33.709318505206035,36.99191576991098,40.146674879642916,42.917963454807676,43.55356637452056,47.873950305610855,44.98120089864584,45.10427034944285,40.519545471536084,38.88959744933645,39.59448351530981,39.87616342439092,37.508934635231384,41.07219161786488,41.55157556619069,43.19231428645864,38.42762696853766,39.456616220026646,37.60897329165316,36.72975355308617,34.03597045738696,32.27652370274871,32.60763181534631,31.803468636394868,28.53987844498137,30.79434167186766,28.81296060815288,31.375516520192473,33.05406565441757,35.01660958019883,31.626154247481562,29.47206875668833,33.528661861257206,32.5634343716726,26.653218221597243,30.105550201009482,35.27779193654932,30.788559711208105,29.434872302080908,33.154302020828545,33.867421421819486,29.790875306815643,30.729620316765278,27.953422693684814,33.534940207326024,27.639027076264266,30.069605473383227,34.1191624713029,36.1612612725351,40.33620469456823,40.586806035729076,43.06448318660826,41.70013939625986,43.977872062041776,42.42570497965805,44.20147789541541,41.64264984256836,36.70579197756059,39.557486096086876,40.08031838423652,35.44331895724381,34.269207732917124,35.99021909744547,33.247818033605206,29.96529978885353,30.066392967730202,30.12119244822641,35.08895277248982,37.98794815411438,39.07327551211493,42.77875023382892,46.41227545558598,45.048819258829965,40.29352477772111,42.9838507182599,45.417526582958125,41.11536472621633,39.02365439479242,42.76977970506989,42.320398023945025,38.285061654316785,41.432834617653846,43.56249013497037,40.380200867574196,39.112032289885605,42.09778331263582,39.37322378311105,41.487504678817324,40.29369437772768,41.816915116681194,40.09387961351545,35.204581423182525,36.902684643442036,36.58152869491187,33.71956468716826,31.43803515246789,34.909390195621825,32.49610249368255,27.95112888240819,28.92820316992554,31.697121034334646,28.733623117737576,25.26150382112387,22.40150103627906,22.0995077523866,18.96816295616158,23.580128716484552,20.863472751750287,23.873370261103176,24.200490753170353,19.636596862539278,19.140644344055104,17.78771163806218,19.165334778871873,23.808600253615158,24.049046004818756,27.295903166305823,26.649484507662045,28.906047878976143,33.962889087243184,36.32086622218712,38.27392649081896,33.361103939668176,33.81451954422618,37.540052371705144,34.55612053635427,31.895727473672906,35.698683168759125,39.22675411981399,39.78450655475652,41.242840441824185,43.404580619768396],[35.88342213717007,33.299260648231694,31.683448069550167,29.184951857733395,30.095658684510163,35.41379635842704,36.66135107654275,41.188158243122864,41.749532524105504,41.521070195972314,44.97406141818023,48.04620113273696,45.20692340707512,43.60790970089616,48.54118595877946,49.10839821459213,45.329831291688315,48.39803949836606,47.5092232222718,49.465876107527656,51.017691482091784,52.97326483819523,52.74331752113156,49.82790393328414,48.25523823349213,46.0096924512449,44.85282431682039,43.66669186518062,47.12744611037069,48.8575237262599,53.58370991224122,53.52808230298694,57.883679158855564,60.16962996323819,56.656678037279505,53.379117709946975,52.478144659979634,49.64841447998889,47.22880463331734,51.01241226073798,46.33814314279672,49.16176559120008,52.48907560238639,49.738718330574436,48.60501851257529,45.46593063358376,48.710073735579186,50.92913257137716,46.682759469532414,47.82945755684537,52.71776566074423,53.55096799957777,56.717338919950826,52.197413537115445,56.546133154626986,59.69032826459257,56.34276073613046,56.10423168600468,60.9242454193041,60.64215081969556,58.143318314219414,61.692324877400466,61.89217362283478,62.1534726340615,58.412528535496605,56.47477469692746,54.56638559962699,53.59182880042054,50.821028813706434,51.02355993824248,49.415653279657505,51.951644406776,54.47264630588322,55.91651248397001,56.51535582281938,62.327838717610376,59.72441716207914,63.622124105479834,61.27035042092652,60.45331900234475,58.99211618919205,56.48275643631816,55.71949816431499,53.61485674575682,49.90169197649372,51.368539701654775,53.308044831831815,56.38092283816995,55.9912011126279,61.17845548309042,59.250057390281306,62.7893527830757,60.47478471333453,59.5585214032283,55.172413772917665,56.66181938926371,52.56112806696197,54.80003683971501,52.71831386059457,55.17161825255067,54.30477032707174,52.626442113913264,52.34708828374607,49.30098240080226,48.53153128819933,44.32235261599253,45.513051199836084,42.00793921835608,39.0847743383782,42.09425073951129,38.66084644991928,39.08832953897456,38.72955182082406,36.80828360720092,39.151649376374536,36.62007511515863,39.662644306753975,37.09080631403766,42.33427030844401,43.952832714138204,41.32832871478135,40.17884044871965,35.43502143961257,34.989654218310626,35.05693875979675,32.923943352531836,33.80944517930785,34.58121789004609,35.297973721699066,39.02993427675301,34.59182214777667,38.19459583089442,37.473183906055255,41.60289199607796,36.28224016720918,35.020959939572144,29.842804003618266,30.615313631185618,29.93369044926929,33.680852441869575,32.53363559845827,36.429949820245525,39.00948890796106,37.98265382538189,41.10313412082616,43.06143886376347,40.364146472596474,42.291634249354566,42.287628329362995,42.27779996676522,43.86606640208324,46.05646112756918,49.848842076657114,51.83261096912686,53.03429279991668,51.86269636475534,49.08642215346523,47.98852112788674,47.88853817049912,44.85612996098816,41.57621854038056,44.63585190376349,39.3997101500339,43.3477559496891,39.725163311988815,34.565470120356146,35.42722072557871,33.15723118952175,30.474460052935413,29.885832756979188,32.30993021611405,34.09723675685368,39.1475237242497,42.52079017929278,45.791968650069336,48.59228480070084,49.403759238092135,53.59240228665352,50.60230617629475,50.602964673016274,45.889597696928085,44.340449313594036,44.67491978619565,44.716438632819134,42.52902254715489,46.12304580929689,46.81185915327549,48.05848713619736,43.20890971103332,44.027394030293124,41.92049250372702,41.38148602865755,38.463501825470274,36.78161485210854,36.96461439378932,35.85389242570538,32.963033168937415,35.00859799967448,32.99120768845747,35.981581784601595,37.13700022905576,39.48723659981338,36.37461946068648,33.6681472480912,37.53921111457322,37.022816669086566,31.00070290559117,33.89512583177706,39.24984129393597,35.054157068194144,33.247839417572976,36.71326124772369,37.89721442683706,33.73097717985636,33.94985214282879,31.144389389795514,36.33651546226168,29.922665775203498,32.88954904690354,36.73517162618064,38.35343631533223,42.323057360804526,42.538711949521584,45.501161508685776,44.40766645912115,46.87830724190066,45.81753453804871,47.20444432835194,44.236388104143714,39.84595385323666,42.82664673624555,42.68055085425652,38.05603239548364,37.42953501427159,39.03359484968891,35.5829048019294,32.631167375981114,33.532861259997,33.76945032971552,39.19899614146237,41.820749784961784,42.92622858130021,46.889048931043746,50.42979159512708,49.49773585490318,44.65569820677371,47.068622999074954,49.83362095166087,45.78034689272258,43.34084305626369,47.057391693041176,46.80422138471704,42.62902974626384,45.34862828147202,47.58060792756889,44.55565387332863,42.831615662302795,45.55698285637799,42.73886220359158,44.881633950095036,43.979606006707115,45.078616349393855,43.05740950075674,38.613829457760836,40.19106076051522,39.28479100385106,36.504843579968316,34.61323705524735,37.377963131770805,34.45853474084847,30.53363707275389,31.595789116050483,33.46116640472507,30.16071246694422,27.183571936842373,24.987739416482192,23.398422700822774,20.78320043799316,25.40179054129011,23.77753905233237,27.35554717482796,28.344881201074596,23.56192763189081,23.15874453265016,21.21671805200809,23.040421117769846,27.681450040436292,28.83895493948323,32.09095554450315,31.993555916330948,34.00080456734484,39.076750630856,41.20843795189614,43.50814815015694,38.67482171736585,38.729690708755435,42.574823193316234,39.97073315483892,36.94912195359889,40.441522119349585,44.130387122218856,44.81502054976396,46.36658523302298,48.43753144619912],[36.82927938657386,33.91311614051931,31.586697844933674,29.55934822146138,29.472627957081112,35.41080701731855,36.45002495909056,40.8243204324629,41.88971069738754,41.576359135253135,45.17420556445684,48.01787237199769,44.84531647406598,43.73694682326254,48.50648928919499,48.70540660794251,44.83962287209428,47.84963594701513,46.94677803004655,48.44232936800991,50.01204232627217,51.55697581681104,51.52692660956171,48.58722438350111,46.83948229588991,44.95287127984715,43.58400424512953,42.686955009153756,46.198259482985385,47.91222721865541,53.083727764795846,52.69720181008661,57.17519745771106,59.32722657937639,55.58260088302175,52.315309522630905,51.13901129387428,48.14538701602987,45.48991475626809,48.74157777515136,44.28401427944761,47.52932461956455,50.59541197238243,47.63992753064847,46.549895658392614,43.18449252471406,46.2751355553312,48.53381816576461,44.13490455661371,44.89797286988636,49.825224615450225,50.54947693330729,53.85690499719631,49.590644364085584,53.82517021837286,57.07075820981351,53.97318468864728,53.88517177830532,58.666237851837394,58.389712348332196,56.30393407068234,60.09343510583731,60.52177786375678,60.89619349169141,57.02655442213689,55.14416100771421,53.774392762860344,52.91891383427862,50.557722285896,50.9858776027089,49.59311919301174,52.40127532648421,54.596673891820316,55.74411377283437,56.10104154910927,61.73964272530371,58.73586561260016,62.58137357043653,59.934798894741434,58.779531702762924,57.17682609513096,54.346918114547044,53.589082345706714,51.13342774252369,47.521502281412296,49.41224670899439,51.578023446192745,54.757297563168066,54.70435723528073,60.05262725954961,58.45981944996672,62.247759859603114,60.0959161700392,59.19063240143225,54.912159692565446,56.71740143637192,52.7160436766239,54.46517677161767,52.34450097900071,54.68877935976567,53.39078410594932,51.43257972610509,50.86602400850046,47.61451641212921,46.24842686827087,42.23842454588723,43.12007063733572,39.37828491827188,36.830970492705646,40.13983559857587,37.16877574904522,37.59390077964571,37.85534798699724,35.798965701458386,38.590026761285245,36.02720912611075,39.05310369135752,36.499486787294785,41.924113283956245,43.609482551383145,41.3014247084616,40.196170837291014,35.44266706188589,34.859027447108076,34.8956800048531,32.0620166386316,32.877868961842864,33.045163925466866,33.3287779995346,36.64191938319329,31.87581194300409,35.10425260314626,34.23417336672635,38.653764817255,33.48695336276509,32.81538407334732,27.56296763698365,28.82305671098512,28.649151805612583,32.221008930670905,31.31868363694079,34.88402956337603,37.766505667660546,36.708987201222335,39.50928632125342,41.739234498931346,39.16121126306711,41.193216456003775,41.03764254710818,41.4805493122112,42.86909105359727,45.562594243412924,49.138971399576164,51.643527005460456,52.753334134376075,51.20221000963911,48.38543093202863,46.89194340194152,46.78866535526117,43.28039417270729,39.757850054890234,42.959732693225206,37.5987369765977,41.23118031940609,37.16692613826925,32.080191099081574,32.395287985915886,29.831798416986622,27.145056755698587,27.174617492186663,29.55061853221953,31.82580122710743,36.66956410370627,40.152502928419416,43.62360690438525,46.4894921159901,47.74025120095588,51.55752271588371,48.35221290430563,48.11928015639186,43.22773419279527,41.87216581489282,41.62376302182831,41.37251234999338,39.417473246955026,43.11847809282368,44.196428495347845,45.03248994874895,40.30858761875848,40.70919498593564,38.32701815692309,37.98252812996041,34.80396606075939,33.177980094485875,33.25667280506384,32.00594586503516,29.571533760185375,31.654100729016747,30.011663516586868,33.40820035648041,34.535191015594116,37.30385572183602,34.412468692812354,31.630107725109767,35.61598958997967,35.61993742117352,29.781796192055936,32.51719184527232,38.0743539909219,34.470594217178686,32.7399069055685,36.22143478085487,37.742152247994106,33.94953083101414,34.10095081732425,30.964789522522814,35.96928522990148,29.040733137654353,31.65374279661311,35.538806208061644,36.56765334266372,40.80939040990603,40.39667932644409,43.22827884419453,41.84063542632588,44.063773336189755,42.987950560571,43.96184831338425,41.10573866388768,36.860149857403215,39.52812107077545,39.05335917641258,34.57883744467241,33.969336531289116,35.174391950718146,31.634493283408286,29.052224568733447,29.79476601768188,30.646979906741628,36.03656384718615,38.59288747554258,40.12918835402985,44.127604844833876,47.88493059969671,47.065644198536674,42.23557406356379,44.949356695097705,47.89797026786709,43.969644158009515,41.657306250951564,45.665321870918405,45.701234185798114,41.605715156837334,44.160817558081725,46.71620628218849,44.088952369962534,42.155582399849315,44.678105193425665,41.604888940232776,43.31166173647118,42.09838066858719,42.87701336767478,41.26938013904884,36.9262155798581,37.87223403561265,37.03241362001611,34.57553185546382,32.25178962826561,34.57781625881924,32.06248694502472,28.303264089367712,28.659916600479793,30.3938320588474,27.5438802602079,24.717487286780248,23.15115435106081,21.396000571671593,19.64019005554264,24.586182932071335,23.373710608230667,26.512813629311466,28.058221856969247,23.56168707380211,22.37745749933423,19.861323128517782,21.087691339538452,25.616490451961692,27.110342939436755,29.870216976584107,30.388597024900502,32.8492042976168,37.62796969795613,39.86332989024513,42.3445178519792,37.80375551594645,38.04969649517175,42.08605487200645,39.65359820644675,36.96153037641786,40.42037066050334,44.199589269961386,44.92773256755444,46.47034709243901,48.50998281128172],[31.863415241734952,28.825542643211282,26.284343145523398,24.256092490162374,24.010985657029806,30.000151561104776,31.06610424663777,35.411598162422976,36.59916461992229,36.443975047248706,40.09140272097034,42.800137960468454,39.76505448907075,38.828499449967985,43.628579286419864,43.7872767378321,40.09251781584339,43.3354918504826,42.83901336976733,44.27559435454662,46.164395061312206,47.85948321724587,48.077032950180595,45.3764215830554,43.32920099836978,41.194879090201965,39.526648318156354,38.32127380984003,41.61546134302518,43.07094938275827,48.34069341127974,47.718471344494766,52.1910084492188,54.52343240352817,50.80707622729156,47.70211395208199,46.34751304082942,43.712222828422746,41.18631443113974,44.67579487565503,40.39839551945946,43.63047791470324,46.861467165629385,44.15894299907299,43.44442089941469,40.25299426247665,43.62873151687786,45.46055699055865,40.851781959342645,42.10599571141762,46.865747781816424,47.47934076435273,50.639937601055536,45.98933421961256,50.1038430783796,53.57139626019265,50.53362068743949,50.061884873438004,54.86601466749071,54.96456833260732,52.667975855830775,56.26413485164108,56.46468877019752,57.15692056115186,53.34698150797249,51.16242727852889,49.83797856815996,48.68079725132849,46.455986964002115,46.622920320782924,45.41127000631693,48.35868146588486,50.36209817960889,51.70567911469847,51.75787446678948,57.48562504209527,54.48541519453562,58.180175782188705,55.55945340266649,54.553992050933275,52.7393737943893,50.06995879533075,49.00394774904655,46.734139838297466,43.208554617586124,44.890479604517935,47.22457810723356,50.13534556465286,50.274673023181585,55.441940377549656,53.905746165952706,57.74735613952932,55.456152071036485,54.37212396288351,50.033145482099464,51.828153092136446,47.7949350295909,49.382001104705466,47.14599999182943,49.34903628210577,48.185550602959374,46.117084059063075,45.73633195075168,42.40020444975914,41.273082979141506,37.117270870995824,38.07825383659127,34.449513781375245,31.696461327097204,34.89777749417342,31.793054505495984,32.32470606663979,32.53003082810539,30.659539906594908,33.60872099326116,31.264006625517933,34.51708160919081,32.3119478886241,37.9618042196623,39.247446461427195,36.94510880657893,35.57765119186999,30.886629052256286,29.99794096558227,29.76440486920946,26.89314089722937,27.452214659556788,27.771476657396487,28.113792569496137,31.65006229202028,27.00884870076717,30.487302510168675,29.84582895379478,34.0471021530169,28.881705099418067,27.941907798276816,22.607374048791552,24.00183874361586,23.997196163599416,27.722959433892694,27.426972382433668,31.298265825077216,33.83814267719881,32.43211290291872,35.26892002710696,37.16829487446127,34.45821568908108,36.22346659149424,35.90105311684385,36.19853909922187,37.48083739896911,40.14793961572386,43.68858672548169,46.19845013885639,47.34693471252067,45.81387636319027,43.07037300932361,41.559127055274814,41.60850991246609,38.100358531027275,34.820656458307646,38.223189062005815,33.08148429735488,36.88012959251596,33.107615794904774,28.219633068999574,28.549945005660646,26.52463121982606,23.43351271716995,23.09994317287534,25.241897971314355,27.351071444186537,32.23263614852641,35.56676351034842,38.9355713407519,41.62969734461716,42.81325685583062,46.69738728698193,43.72815749425814,43.47724756277288,38.81813540808395,37.08703185074697,37.251820620549964,37.32934783262694,35.31910645543648,39.2573409723258,40.281993371784694,41.59237758730744,37.08848827416584,37.535608519327695,35.32308480460758,34.486037412344466,31.3141648367064,29.386657300963442,29.3815258422854,28.162730101544543,25.211457653463153,27.255897473104678,25.375680683331133,28.471366133994316,29.803412641939445,32.292319620215274,29.235337061416978,26.67019225790433,30.74545483070583,30.458251858306966,24.63125712463896,27.675460037160946,33.135746013172415,29.359685682378977,27.859046078231515,31.488999549842767,32.76705940960656,29.057032358507037,29.60043689915704,26.459384874643224,31.713083006654344,25.142426235890138,27.40434606965675,31.441300945115653,32.858864412146275,37.23102192543477,36.956354132152654,39.46031698200855,37.94988076950761,40.12590204843094,38.740205383271544,40.11987682566601,37.48110864373584,32.79776930014016,35.53206444316331,35.64172171088417,31.06311173756834,30.091217701793013,31.61480649852583,28.56083437633366,25.516110006994555,25.91281587433471,26.312496649772513,31.55346035513531,34.265306784745746,35.605762577170076,39.48554858644472,43.2201496898563,42.17284752693746,37.357050387047465,40.12013970571927,42.88145248915773,38.81659940150973,36.617684071164255,40.6080961037963,40.52540515432297,36.480073284912926,39.2684675955288,41.75128853112812,39.03206037442138,37.33996827075803,40.02699497747759,37.02211177626046,38.764478864554256,37.423700271375075,38.52751825049212,37.026735415808744,32.36472147803819,33.514636835777516,33.04519501155972,30.453298005933988,27.944970321653056,30.89674348782959,28.639422917628334,24.346743380994763,24.839979376653,27.324740267456917,24.596180725639268,21.298050672312037,19.081751957167782,18.381010725514656,16.079998474196845,21.026373869334076,19.02583905741149,21.800456840698477,23.016619727992126,18.67046097614129,17.352023315853636,15.141999110367546,16.176659648484737,20.778390494276174,21.83480239925986,24.736338659275333,25.020806015382824,27.447049095931934,32.2665652201585,34.54872821529421,36.92958262239283,32.35002534563469,32.68433507685493,36.688540868209614,34.19638233164511,31.60084966965254,35.14567812202445,38.87804483061188,39.58162643005004,41.118129966957106,43.19220035432849],[30.43843205381906,27.731667703521254,25.97210273243343,24.06176750799994,24.971348079541926,30.413567571273685,32.03700508389131,36.45329830972028,37.42844169920638,37.71465821813392,41.28546276623378,44.00795034671742,41.5220177834661,40.33800168142497,45.332372151459225,45.773835588485305,42.33039804070164,45.80676357004134,45.58363389128719,47.31347414257556,49.35122392222428,51.368492448540756,51.560589094059814,48.95707259165965,46.921884615376804,44.465863606133425,42.79661973415058,41.224336973144055,44.31787857882318,45.55010060094056,50.575339347379106,49.955315999937376,54.323804297120226,56.941734383623526,53.412262450978815,50.452560822754585,49.10681856794807,46.87506711821856,44.57167056255453,48.42754183544238,44.178682453305065,47.18049091458264,50.616616494865454,48.1236422173702,47.51588034242457,44.48395271940955,47.98690306269684,49.689494549425,45.08600066912079,46.61381492313808,51.30294384881911,51.9027213174265,54.97071893176573,50.0954386333498,54.17206461083873,57.710657111705856,54.61341461918235,53.90916820322862,58.73044265847872,58.995047950554536,56.424275844316114,59.79829597973707,59.753228978082724,60.53347660703369,56.83484492746578,54.47984653702102,52.82942661349954,51.422478829194596,48.96390622269216,48.77717946329842,47.49461418130528,50.275167359665105,52.45914099471809,54.17186084076542,54.23262325901818,60.14207337648425,57.42977146905242,61.053226543406815,58.635851967658475,57.915370933993636,56.0236581245933,53.611584361565036,52.28929638285574,50.286811862893536,46.83006370412682,48.193898787786345,50.54881164525714,53.186625049514426,53.296208539316176,58.21464239279331,56.505769676799645,60.2017944135452,57.675985165318835,56.41962325684763,51.933366445903886,53.43094511042315,49.2621819576556,51.09686786935829,48.719079363227564,50.71551304029983,50.15150879380362,47.99869253802112,48.12734340528488,44.67737446733963,44.0627703333682,39.62926101436685,40.54901913951597,37.06720388584595,33.89497456974514,36.96601522384074,33.541972122946895,34.52081207146433,34.29041212144013,32.874197210015026,35.679545557394576,33.59540125829255,37.040236655801344,35.05585152647197,40.67074790358831,41.66856236432468,39.10041235396731,37.490972892246056,32.864287325487304,31.822584895346566,31.266517330292974,28.97855867323291,28.9480260189198,30.016357421882358,30.478898596595368,34.45207688387177,29.927142723957157,33.534747363933185,33.375439847348005,37.350522981225325,32.336372946459875,31.064455349569652,25.683997292389414,27.12036353057444,26.983733859602026,30.901770531247525,30.790374374776075,34.97202877900135,37.1763143137877,35.60827947607035,38.645369246558054,40.15104808617161,37.27156704092799,38.69204984627927,38.23277033020254,37.98465135184667,39.10107787393873,41.311095072014375,44.825870904262494,46.78679039294268,48.30312304372251,47.190352162310646,44.68705888176318,43.37973119333452,43.756189111028306,40.47305189007513,37.69310574252738,41.24540652919781,36.38710488405926,40.4225715630606,37.01936651973426,32.25904201890406,32.72458418405342,31.022515011931144,27.752070064837497,27.13963771650908,29.087134562154677,30.929567034622195,35.84719868219608,38.986703057045354,42.1794036646871,44.62894555057141,45.59223522363238,49.65303707377579,47.03062721388331,46.788038107712744,42.42931747377919,40.24058014301331,40.86772451201484,41.234166770843416,39.243467045473025,43.33914651524428,44.2532465187567,45.89592464827977,41.47401153884488,42.01738658766512,39.898110239633525,38.83272206695758,35.64651967454926,33.501782599170575,33.29971727970457,31.856819081957394,28.561631064337277,30.17264669562298,27.70054901700051,30.577820416424,31.413439231378543,33.68981451027681,30.680659679936724,27.732196593468014,31.467985202481668,30.99077446984199,24.939324990355964,27.677849583618336,33.033800135259945,28.952080678826114,27.04937289323152,30.48555418980699,31.81336439137748,27.75292109387984,27.86421964595851,24.95941047409752,30.150537422434965,23.756735997890218,26.641925778745982,30.515535460322216,32.29387067396682,36.295525365558504,36.6367342511481,39.50372578715087,38.47224908067689,41.03486523701274,39.99396300257235,41.62598486500424,38.615907411985,34.140093032834876,37.342638455721925,37.457125597398665,32.739065692012076,32.13246283428169,34.1515457551306,30.785921782664253,27.462712473199453,28.737795937709084,28.33059969281574,33.94009500289762,36.44185569808913,37.19485617580197,41.201743911754754,44.55679127287249,43.750659157980614,38.88628972403598,41.03864086813255,43.84991314257626,39.898998243299644,37.27438295265521,40.9202309715284,40.72069019137025,36.50320244476796,39.11194452904337,41.36723511822259,38.431019540976614,36.59296499414484,39.282866519172245,36.4572675701744,38.62965649756282,37.80747452428873,38.96843445965391,36.85847810785967,32.39120930736121,34.14037874068552,33.24429272012133,30.36479355292767,28.604657309986866,31.616439658474818,28.639723219731554,24.531526652489692,25.926463307703944,28.038647375574392,24.637297327523644,21.437381462833027,18.89157294049248,17.72840975062727,14.748519588448191,19.35721017392761,17.546258617742943,21.096560881921434,22.27929466977379,17.531189660354574,17.03696305754611,15.045671888970258,17.133386035954082,21.724536700157966,23.19009860593097,26.655993327973036,26.81233283900354,28.371033489718844,33.47231000879222,35.383500556725345,37.93237857188197,33.191667327204044,32.91948976878815,36.85856331394032,34.664580865799735,31.41362972575452,34.674563683432886,38.4894466084728,39.31298846517761,40.984280966114866,43.01044970016698],[35.289401943997355,32.60206828745649,30.77464476691476,29.26312188186689,29.897043471948923,35.5657079339469,37.183806877064896,41.53482711963296,42.69113736987173,42.92855617992846,46.533515940510476,49.21746306168211,46.572869803310816,45.496312437801315,50.428301427863815,50.75126091904599,47.18708243217172,50.52608972564904,50.061323747683986,51.64100465857355,53.4976229174481,55.24656836547991,55.36736935752225,52.587869386251235,50.66765436396985,48.518214453877356,46.935348412161055,45.66608363306623,48.91077473914183,50.265519115500375,55.442028963482215,54.78575890054433,59.213998195928944,61.70373756295775,58.054433051331756,55.01678634121581,53.62302933312654,51.13055431685984,48.63388611368669,52.09053993396975,47.84116475493336,51.07146228037579,54.29110880846828,51.53241909696701,50.702014268362525,47.432107628141715,50.67683365023491,52.69156247116176,48.125542956730875,49.13331161819227,53.96483153666542,54.55861181949882,57.814721056739806,53.30955390754097,57.39833660161884,60.87299554547915,57.872447982674714,57.47787848339627,62.27484742789336,62.314965929291,60.07972907877303,63.69505259079071,63.89163272577255,64.52984806228365,60.729028550590016,58.57986182551943,57.128052673928345,55.94836208495238,53.561301066105905,53.611044712229415,52.294142895477286,55.082477389229695,57.28111444163673,58.77434707308531,58.92635657552185,64.72639267906874,61.84388566234956,65.5354490891332,62.96693011500376,62.00074296307812,60.14485205432678,57.473105383927326,56.29332945690823,53.99329116883102,50.55073814449727,52.2625689621309,54.6597107321704,57.4912623254306,57.66964255974524,62.763461829645884,61.168594857273995,64.94244604758646,62.54783049462997,61.37969294610536,56.95604217382406,58.569270676718794,54.44390874285017,56.168168923813994,53.80483559526215,55.768612762616264,55.01072371834758,52.71368004216687,52.67624445730209,49.093916696185985,48.04308703956688,43.74786181863253,44.36401632215602,40.652187624553875,37.755041606493194,41.10332227234641,38.00836539520561,39.054157207945124,39.16935168087681,37.64641433539174,40.59953163102384,38.3909215419904,41.721024125671065,39.53069240243118,45.10243193071622,46.372754736361024,43.911513869267694,42.46153558581344,37.781773514015164,36.84800864595414,36.39689219158772,33.81848229021955,33.77372044765786,34.51539658763246,34.65581339361902,38.31914499953929,33.45688167099641,36.66640815902262,36.40226252578258,40.70705981147659,35.818752549569105,35.054069551579694,29.6080858411562,31.32012206578752,31.36452308842847,35.141843707903156,34.78694995440993,38.65221867753242,41.222132715605454,39.84141735486176,42.72006974345299,44.54365188696426,41.77766639953137,43.374101399047774,42.89465087395619,42.89944158113336,43.906610401018206,46.33908797709657,49.716897791542095,51.84305569827426,53.40195815524023,52.15821719153401,49.651299452162895,48.14662209415213,48.5143940570681,44.962095985894884,41.97621316320407,45.543729060173675,40.49502915427959,44.2918299893541,40.46592709650651,35.60914320692805,35.73265214851342,33.536390626667654,30.442635172056566,30.42606821269507,32.47142562381812,34.718649441034536,39.51981000818728,42.80570449504574,46.17659239212387,48.73075242436035,49.98390445269735,53.80881686919409,50.96694362833828,50.57278054615095,45.99484811834862,44.05221219928545,44.11244488220154,44.1282551685173,42.343616517349986,46.42520108039635,47.61938632811299,48.74942311474444,44.25753567417719,44.51688812842504,42.09900858763158,41.43643399074067,38.02820179514331,36.03954431087885,35.74063106926979,34.062817761958314,31.332628702701076,32.85184402214483,30.61393059224235,33.986317378136114,34.44641876016273,37.204741837514014,34.518495064076944,31.189384253228415,34.808271457761,34.91908993794635,28.953982353120132,31.169776224386645,36.69629191245608,33.14798773116716,30.977230417302213,34.1756491210078,35.9914768297166,32.072174075664435,31.60724204514497,28.587238364810364,33.28407186267026,26.302140774570535,29.43041731102716,33.08907312793473,34.17533517996574,38.08861689155223,38.078361579382126,41.29172749984296,40.355736811539785,42.93608815181913,42.30327427376382,43.38127647069763,40.1022323401376,36.20182644794466,39.31461447723526,38.68660556182305,34.09834009278867,33.96430599766648,35.638357375234264,31.656441247777096,28.860829376655847,30.66761850954351,30.776255145386354,36.65118122185632,38.8993467065118,39.90462739613285,44.09970248441681,47.483179558053365,47.05738314920516,42.16440915344594,44.256455852544235,47.39005559013197,43.69868068551632,40.90971501949079,44.64978015811335,44.73007215865872,40.47977414786945,42.67041134775802,45.136634149818875,42.517828717437745,40.25734117047566,42.623644934763306,39.62715693621315,41.59341379155535,40.85947692120314,41.50567301439971,39.37082366165731,35.36926377204941,36.68073079244043,35.33127207237067,32.72120936935632,31.08972173046909,33.226679269837334,30.037994441318396,26.639437094816557,27.706306348135612,28.902407866746742,25.46144288255723,22.87283514147508,21.338005249351678,18.89004291274459,16.99773970851431,21.61697907760887,21.04432072820397,24.73410691047,26.625938548675887,21.966313907758284,21.207005286734834,18.580558602728626,20.597993029451438,25.023657779577274,27.246028862701543,30.40888841936583,31.180391285206955,32.841518176145456,37.77466722610743,39.58728443821539,42.41306449100232,37.87708021080247,37.463062473538095,41.529353790671195,39.62690483555599,36.33360594193455,39.36963420303832,43.29469324998055,44.1943362595792,45.894691774619226,47.83768764646538],[35.49535443555555,32.51326070618926,30.021637798233904,28.903517199809684,28.610854772792187,34.76608567139848,36.16432573489315,40.34557141373118,41.93233419508095,42.09064166066078,45.79868942413828,48.265281221744864,45.35244745542387,44.714063711748025,49.477791229674274,49.4815949232986,45.881237210495016,49.17466798519575,48.74948532545905,49.92720131253551,51.83048934004617,53.248886547368784,53.57122844303409,50.82286478963199,48.72600759121346,46.85269561057684,45.062982335963135,44.00332671645844,47.24132673916601,48.54513365307546,54.08134217222123,53.12587889646355,57.63836850620884,60.01968386424706,56.19210568138115,53.19513874367085,51.55534729561903,48.98186316427102,46.31924141563626,49.337946205333765,45.327973625878116,48.88904961158021,51.89462725311123,49.019392788704046,48.29163057167225,44.88495070907367,48.02545606131261,49.987674583783665,45.288689911698896,46.044543109153764,50.850733598062135,51.331815244643,54.66401843176943,50.337886105652515,54.28777656796201,57.86737696897749,55.10195994879068,54.7777919038886,59.52292461841086,59.6251005566035,57.71382789817982,61.48822324796347,61.84366320212764,62.61807030268621,58.73297471195208,56.597337816835044,55.60807722346941,54.4953708860577,52.479187346426876,52.68866045333946,51.57841963834091,54.59660288510697,56.491018989474576,57.75105191909538,57.664761073505126,63.30598501133936,60.09843605643842,63.71331384674821,60.90941356409754,59.681893935760435,57.68570804756974,54.77605491193772,53.56689342299709,51.001974268221836,47.6760776561501,49.71136778820353,52.309567705822175,55.18376280292027,55.66919928403406,60.85540361526404,59.5569084950276,63.531796100852034,61.270027825721066,60.09953525309824,55.78090143160214,57.65765378734156,53.63395098047888,54.91951610827794,52.528642817054504,54.39044066429164,53.264305188602485,50.735859622573024,50.46130650567353,46.715924467778024,45.17819726388624,41.06528981415789,41.42030596751417,37.53070158992089,34.9641941998792,38.54460800600162,35.86581273856777,36.90335867640373,37.55065845957977,35.939042705477235,39.261064952486485,37.069203067604484,40.37858904201831,38.26670968777545,43.96957856556473,45.23673297220708,43.05834994352501,41.62945581705737,36.989235479227055,35.92121686130633,35.429454683699966,32.27877564200494,32.15855566774669,32.37155277638927,32.132972083630754,35.419442848167165,30.316668093206555,33.1939356603157,32.84106527650928,37.34540738481906,32.63774146228383,32.36927443217224,26.91060447909935,29.0599998905553,29.565159854879756,33.162396383341985,33.10710720996798,36.697396833000965,39.43755077729631,37.99721569951225,40.582761540369845,42.57517884376313,39.916504063611114,41.55717074000526,40.935383447658964,41.319075546302116,42.14680734235617,45.0039692158572,48.18282341939429,50.76776719839867,52.21821623522192,50.64354989612862,48.11076851726699,46.27431438553874,46.64249230188063,42.705493800485165,39.556624769704605,43.24526518312874,38.16250914571723,41.68032830598719,37.55205427736849,32.848198575484474,32.48518701689259,30.15449247566317,27.01425028450738,27.49920357414151,29.422232806028205,32.04818604928537,36.62056380112991,39.950818520538284,43.45726698179703,46.03012677737223,47.64506547742549,51.14060887251617,48.15772401365061,47.56262606868152,42.88852414578368,41.07157496900523,40.679205279406744,40.48827386181301,38.915981140822346,43.1067334046438,44.62354468661926,45.46745996910284,41.158964619987294,41.058052772432944,38.44531171252603,37.86818609122245,34.247271529474354,32.262750217710305,31.84100060449355,30.028905446300552,27.65582105298391,29.178315932899867,27.263603552320284,30.9584297360899,31.428008161997468,34.52262179868943,32.02575967593426,28.69346344898137,32.42558407525148,32.967864035118225,27.231221188812096,29.349364955343344,35.01364401517026,31.99865550476849,29.982749843253895,33.2133440027579,35.254156204406165,31.72470075973719,31.32388615791834,28.02648687733442,32.57792719044729,25.241487071662824,27.905682300497936,31.62274973343504,32.20950480665462,36.42469487293585,35.81858499183139,38.81416741070568,37.5512376531623,39.87426078291943,39.152345674449705,39.91307849484499,36.7914655474971,32.93950000438534,35.75315699409768,34.91702535719487,30.44786506609127,30.26186233562188,31.605540028655877,27.607216958257577,25.09036830349918,26.703790539910006,27.328965298373163,33.127318579699676,35.33701235591548,36.72481569185668,40.919205210825865,44.50566216613073,44.12979693462183,39.26501703110693,41.660770045403666,44.91160608578564,41.312475866978765,38.690675456639745,42.69238465265134,43.00906794322581,38.86828594117917,40.962600413955045,43.70412786229996,41.43480483191871,39.0639772396648,41.27748383374738,38.067416808931355,39.615407405924046,38.54579490791037,38.95618550354032,37.261999345483375,33.2911940306063,34.01986058491661,32.825898265537425,30.514907597253103,28.40772346292889,30.23151605653244,27.5168563562206,24.17579192164091,24.536581884501285,25.748319889819186,22.8070960139105,20.276453638666588,19.293587415741804,16.8937615646494,15.85205029447748,20.751208082142167,20.413047147858954,23.529202183608795,25.838548081036535,21.559107292907928,20.047742591476872,16.963446601572475,18.30813698105787,22.573653947170833,25.02595590543181,27.71007001614763,29.007063895896994,31.07091053275103,35.69643146174633,37.61497065316152,40.55683547592951,36.30243152586751,36.10760917380633,40.308265124750676,38.52661862531252,35.59650168176606,38.62171555123384,42.58377096032673,43.49848882874058,45.16633081732734,47.08811769132286],[32.020961040670215,28.916278927672103,26.182344127818407,25.12801892151807,24.597033635842728,30.832446723323184,32.214921302717045,36.34239532269813,38.05293191742804,38.30056190403778,42.036048203141426,44.385480732834196,41.53833987583152,41.060706887421375,45.80447761624379,45.749760522432844,42.26900773268276,45.69431840762124,45.53603098939737,46.636450720900974,48.744004494075995,50.2323860173305,50.72936172236528,48.14901789611098,45.850574779082436,43.84406624885927,41.850252430643614,40.61294392734887,43.69479562530953,44.82278864370095,50.437679748684694,49.309543357631775,53.8162487045894,56.29685298370071,52.480771988762555,49.5973198789066,47.828198067223,45.487277981267106,42.90522729589671,46.04487561587435,42.17952792004848,45.74128435687651,48.832776956588404,46.12614251185772,45.65525629681652,42.36968226777698,45.685855411674694,47.353192910787946,42.52367800109327,43.59778881709508,48.277659744166975,48.684301080585335,51.91141655088241,47.340698540276556,51.19978694422389,54.925155802611805,52.210130538602705,51.63513080164139,56.38625264830827,56.738768650618766,54.70506396967887,58.35269353574154,58.5681078507932,59.55531523876476,55.71359142068404,53.38657796561341,52.46239788831846,51.16458674113712,49.27587388595536,49.33212890227501,48.36202208138394,51.48048511133967,53.215204493601085,54.57497930985746,54.27362443006308,59.945676100230486,56.72184984042884,60.22714164361043,57.42971338532125,56.28618409298069,54.14881241129401,51.33643320273343,49.929374398985914,47.47737172220636,44.21751669455616,46.129697442412855,48.843981380196304,51.541049050689935,52.169385660879755,57.235591820054196,55.99776526822805,60.01421454559278,57.68081907702308,56.400795800146334,52.064536340519396,53.956881816226456,49.934831970126794,51.071882319731195,48.613754540848184,50.37992045542361,49.30073859852606,46.69422272635163,46.513168922614405,42.71180119725843,41.29608802660433,37.102509638465165,37.50117979849183,33.67188834772284,30.98910582852554,34.51907882216784,31.788022046012966,32.89320171275172,33.561448241697654,32.07182612241688,35.5255271226837,33.49381269065572,36.928780653097135,35.06709286342838,40.89087459068737,41.89315094413615,39.76030203555719,38.17352796241652,33.61205802475473,32.33608731543758,31.661667109678728,28.433892595930864,28.117947154670336,28.368858711369384,28.12317474680197,31.52612001594455,26.48353069568559,29.518564737910975,29.314043732288777,33.68285154270392,28.987715563206237,28.584421698274447,23.081020385615776,25.385886251095805,26.06991518858541,29.717061206951556,30.098314850006318,33.83202645934249,36.346844058809275,34.681115820390495,37.24862978490203,39.02879654858699,36.30536043332621,37.76735620326032,37.023371028328846,37.35104470448535,38.091269150778565,40.97272457100944,44.111785039745975,46.75132162540727,48.19940015893368,46.600038614259226,44.10951375674054,42.23584594095269,42.69654071517267,38.73372358710656,35.736503480347395,39.557838032895276,34.636807497669935,38.22856629058517,34.28795928895543,29.75328570455096,29.359204577950155,27.399388879151548,23.986373834410923,24.27179897825667,26.0046666628449,28.545570514408215,33.1039981946811,36.328713144695605,39.76912574455802,42.227231787115144,43.81980165511531,47.333427263739765,44.49810653136765,43.883733789225936,39.36326204112131,37.30693531303633,37.16864498442243,37.19352895279411,35.590331126659144,39.93858471780736,41.43020078751411,42.580528408461824,38.44007789241422,38.35721797927142,35.864739804140896,34.950667723020196,31.33328238271504,29.141152697228698,28.657911178491887,26.867158525985882,24.131283401108153,25.639952433275248,23.571345277902434,27.096571389088286,27.742839545921004,30.67320982834118,28.054884622465753,24.875195613300477,28.72423611615573,29.08896222616938,23.360383525390315,25.724107056774628,31.362733440816218,28.25868734142518,26.43591559867066,29.806574047418323,31.682029141826607,28.25187415345705,28.171227842084384,24.82290963094933,29.587830772260272,22.45862792208712,24.79667570667294,28.680014094144823,29.54775059000281,33.933411680203704,33.370307051494045,36.07927850427085,34.662222214662144,36.91900972589199,35.913022437622345,36.97460300058888,34.05035972664748,29.79685392215159,32.6384039311316,32.270233858711244,27.695673371248812,27.181531661539193,28.74358925762016,25.144256442639513,22.250590925839653,23.533693115447768,23.87413664649924,29.576807224382573,31.930457352780355,33.22677550807261,37.33889878035697,40.95630913181951,40.3852566989142,35.51945439628272,38.01633464579175,41.133673630201045,37.41571434568119,34.905072196882024,38.94137253063032,39.185685075793025,35.08700443863924,37.374779162163925,40.09496517702711,37.77842318664259,35.58958236989879,37.93390726832861,34.7440040847213,36.28153261110174,35.0561432435919,35.71603962177116,34.158748550640986,29.89535098289528,30.724573301458477,29.860508677892685,27.453919192396533,25.10409919683233,27.44025417646748,24.993699420686333,21.154198175069933,21.53715682416456,23.435987888979444,20.640440250960065,17.648190213606203,16.14637500509364,14.655861137229444,13.213872738888286,18.23047675181418,17.263834529612833,20.04049600120117,22.1769885477402,18.051790492509472,16.30496069242862,13.31053335987373,14.430793778612372,18.793051360797133,20.98505037571399,23.723182380599354,24.93040583344075,27.021509125002563,31.646359802076358,33.62514882593399,36.500362712897505,32.24358950586666,32.15035044691703,36.345367998808435,34.51929769446199,31.712666116269734,34.809742992221004,38.735892057639504,39.62740558405807,41.28216122626854,43.22965097130722],[29.707267324890026,26.385402269255646,23.114936575685327,21.92311071193265,20.623557975745808,27.09980854846759,28.147515915323755,32.19141885031655,34.041842165530454,34.13332307168025,37.89933566033815,40.159418048583284,37.12782425000396,36.87139693648382,41.49576274857887,41.28666013174091,37.811219414233335,41.24029800980995,41.21068435295803,42.14022997904954,44.36682860969166,45.81293249537717,46.469336134232854,44.023856813899926,41.54856860577904,39.53089018779114,37.36529141788444,36.1024278966809,39.1138546230213,40.18799762736224,45.92814910019195,44.68919329674555,49.219599441055344,51.65655610066667,47.794541416868725,44.94590685466197,43.095705660878906,40.79651865782198,38.22056418298101,41.367862957588834,37.608739034917406,41.21503073637531,44.31662207600173,41.71134224908435,41.44329492847405,38.250243876586545,41.68672908800505,43.10582852363779,38.18532870699297,39.49907473224355,44.06142673427581,44.42322414080943,47.557340255751996,42.82646397656445,46.629142716078675,50.43443531232244,47.761028344329794,47.036568017338176,51.78225000002536,52.29177910054603,50.216475023483,53.807647962240814,53.97796968192029,55.107289237189086,51.28076258602171,48.85076407647963,48.08426267451256,46.71833934947758,45.02733015640884,45.0838332072292,44.26539967445551,47.52195339805714,49.04174414876491,50.345111154562254,49.86115421168171,55.4796397074803,52.158098283296866,55.59643234037621,52.75028072463686,51.595829826731936,49.39058324725969,46.59605037608344,45.138974071470926,42.72060875582556,39.47064853023173,41.3535116721438,44.12638975596496,46.77543038763668,47.500071980924076,52.54843732633782,51.408475933158485,55.49614358287499,53.197571516970626,51.90608991511106,47.624801478982974,49.64010906587532,45.68926450530489,46.62482902097765,44.19596988129999,46.01337274380049,44.71169414990472,42.14674498716558,41.809300486390505,38.07672769118518,36.61101026346113,32.469205639422256,33.02775722193045,29.242616208551,26.626436150963762,30.09113543837075,27.40087193162596,28.275108004350745,29.097440926140617,27.49154169492657,31.07336759606319,29.080194302015933,32.52567480194703,30.82237319368824,36.726533548342665,37.590294253463846,35.61423871615538,33.99660422317752,29.51857631123803,28.133561447118964,27.45747909556927,23.947496607822796,23.806946510710283,23.751660817155624,23.529795051097352,26.86551969383942,21.916579333439657,25.136844364619137,24.79730581817306,29.0795094552459,24.26784952545925,23.79223446465029,18.30378800284945,20.657031705389976,21.54303134074298,25.13027897514173,25.86599215190694,29.595956969927155,31.981788520237988,30.17556515058927,32.64849406788548,34.37232020793866,31.666132774872462,33.11536429209987,32.357516387006605,32.86412411346087,33.6630480681308,36.73224775733271,39.89427561962458,42.8053686308839,44.0341907361648,42.240152098187465,39.65672863784902,37.71307905640153,38.06446577344466,34.05015206786724,30.95952457466634,34.79419200402163,29.91649972682796,33.4964768402951,29.637851187000624,25.230540414179778,24.821361114824075,23.15680744996275,19.573199321212478,19.678823804367234,21.302024340547987,23.802212807077467,28.345836626204747,31.54463987879741,34.97356261036534,37.44425828968866,39.047984778612324,42.552264381502425,39.70702967977084,39.12234423957886,34.62309164241401,32.56156832494073,32.540256992623476,32.68110445253211,30.980520155462564,35.361481477649534,36.80771018273939,38.16255420839521,34.144207611983276,34.103374254547965,31.753817026951083,30.58086467109954,27.055151327342397,24.774707221122,24.387722232137985,22.83602291945608,19.82200844767011,21.625063401078286,19.737305765996094,23.05684824406253,24.28886631817486,27.018805923204482,24.17374713282463,21.5279428511514,25.669755100199936,25.786117965052163,20.24714836027168,23.14108233470032,28.666700217809417,25.511978541793322,24.191246098994114,27.79237567091437,29.310707996104092,26.14050720742859,26.726914222271667,23.35207609944263,28.363583426026647,21.712089059931824,23.318458763470506,27.3857477202444,28.48401985416831,33.1173395473173,32.39806955565451,34.5611164729243,32.76370058058916,34.72889840844517,33.1935292000863,34.51075332294216,32.061942242602235,27.252843602232186,29.837423595609607,30.07144801121098,25.528351064263344,24.382732501159385,25.91193868148373,23.081774313799546,19.95417099827725,20.17657319802147,20.61120920872362,25.85287203485125,28.524157645334952,30.001633734793877,33.88633888878133,37.71404163991361,36.73338354709225,31.925657880135688,34.85379775096848,37.713170454302464,33.768434241141996,31.656695806784256,35.84813668280753,36.00149598145664,32.0697980900498,34.72765002962507,37.45487589935766,35.123125376147506,33.31725821365826,35.84232793842613,32.67217906549665,34.02831964677914,32.38918832084766,33.37299759858557,32.27303131049834,27.588763345367433,28.298508691206568,28.09202662331403,25.729602218673868,22.771890315321706,25.721345727456033,24.013057978917075,19.578248271706673,19.539278958544315,22.437960922182175,20.257930403506567,16.82194254036386,14.824976627767244,14.893144064126004,13.260704770829365,18.123680454529957,16.1950432129379,18.078574986644767,19.749440862810278,16.10218928694806,13.857048645715032,11.265707852140213,11.374344269970743,15.734623852698384,17.085291751197808,19.587943804712012,20.576739087534644,23.1701725759679,27.657834877533933,29.923930522753572,32.54369431506784,28.321195546953255,28.702402496551223,32.853307888824084,30.736190321664353,28.42449191886436,31.78075077044295,35.56645651178017,36.34967373521646,37.90503219664081,39.91397541973417],[33.14376824424612,29.84392135892683,26.496642161201407,26.173670043851818,24.63163880233024,31.213211036811654,32.43025557763059,36.21951732598971,38.48113792052729,38.77001462460817,42.564561443107216,44.557689488885224,41.55320205005424,41.649382963765774,46.143213680872556,45.71667047565591,42.31976811617551,45.713176822363884,45.70810148494008,46.30487039809008,48.51136353623821,49.606944351424744,50.38790604785338,47.91178342856758,45.380532480357424,43.69589292216392,41.41865276700631,40.38652344468673,43.34362008681069,44.297625500757455,50.306290877736764,48.73716446597029,53.29273015670657,55.697166021440864,51.71187354532225,48.97001526415494,46.84040823807443,44.54954615838655,41.8198963786715,44.38203494875954,40.94089342440261,44.89449082584925,47.70589500831986,44.92164239917199,44.65161785204151,41.25065904895366,44.420144036554476,45.944230138268175,40.95525890716585,41.73681915529096,46.30704928472712,46.52651017573079,49.81778670082414,45.46924939191845,49.063082488130306,52.9627358572185,50.61001936381133,50.05805765544762,54.7026462692215,55.21208651947363,53.582485372644676,57.36328711716089,57.72812658708556,58.93842202435804,55.0393448027068,52.689822088041055,52.34177275972399,51.06930924699727,49.657888077723946,49.82473518349432,49.133801808783595,52.4841719083623,53.83530514988044,54.972697162176615,54.33627058239986,59.797898724098,56.21989231082214,59.56215260884186,56.503240803473524,55.07466500217389,52.70546409114215,49.63929112704114,48.090311514932,45.340625978408895,42.31952785924228,44.60584840144284,47.62567121591064,50.26190582303905,51.348370015665175,56.42453286009991,55.57587751790604,59.80820650551184,57.602697560823415,56.26692712232599,52.07090065869537,54.22445077921896,50.345053344304496,50.90914769712578,48.380984526622434,49.89049214452433,48.48931705734832,45.50760290594875,45.15675993652212,41.07872809022288,39.082413478716624,35.115679279822764,35.038773201085725,31.0001218619092,28.748813997039957,32.580412842728634,30.475984534271515,31.73848149405921,33.09618338108221,31.675894101030035,35.582047490858066,33.71361211331063,37.115092255176165,35.479920962172045,41.37439906118364,42.26485791385417,40.48759788552352,38.88077688115208,34.49688037438217,33.00507462000244,32.17369487300136,28.355891653550668,27.689018641095448,27.345922413655085,26.493445144929446,29.36179070697402,24.01197107122819,26.45507663029892,26.32191517596033,30.90476788939765,26.65430550316421,26.989418348619548,21.58790986762402,24.60992546573854,25.98542620964192,29.307086037141225,30.212855319438912,33.548251844212075,36.157464996819705,34.37347765279129,36.51412696785534,38.383049248050156,35.80779168180939,37.18362216334878,36.16905940807004,36.88378274739723,37.253257170059285,40.58170953108685,43.3475267175113,46.4476230642575,47.86784411120363,45.94123525444245,43.53837376488029,41.241217552361014,41.83062264197618,37.385007429984995,34.367349500702815,38.39605660084127,33.60331554461068,36.782706378664045,32.55000755821107,28.402216191094595,27.24337863932013,25.246172003125103,21.72741952017538,22.77016400645034,24.146667150094373,27.175655479895084,31.277834774343997,34.45327798610274,38.0070878500236,40.37004930438574,42.44730656965382,45.46821676228193,42.569597869716425,41.63318397263863,37.11530446972607,35.09079015196311,34.380796916528546,34.18153377217355,32.966036958587054,37.53520554678758,39.50032765341471,40.323771412232524,36.54850679438131,35.921359443087134,33.16321990054407,32.29051182272988,28.331290135541177,26.053860902830944,25.24953129986232,23.10646106795566,20.888183696922855,22.168520021785312,20.460028114630735,24.439821125340323,24.85557649981771,28.259137272782645,26.059355038568274,22.76842464251481,26.568455703254475,27.617141019142746,22.385540545739904,24.32654375114789,29.9993917868518,27.77074161991276,26.082880200983706,29.28631024826889,31.519098544173843,28.68367941604528,28.48125760668746,24.933116111600704,29.206516356449345,21.840020872874643,23.57167998019365,27.333078158104108,27.469679112418635,32.07253251600986,30.799177447951102,33.284916902134086,31.54687470265783,33.5114669334213,32.52298783779498,33.13254126732603,30.333577142069416,26.295046853253655,28.79291997772777,28.06906138435244,23.66621785975003,23.2209716232751,24.399776248704466,20.669918754073386,18.179377328894972,19.47920880781475,20.423586369249897,26.095947213717764,28.264741250470497,29.965726643191715,34.10794547827035,37.87949600300297,37.51404403286254,32.7176181616504,35.432622546182934,38.74799957418801,35.284359431486656,32.898159155107344,37.16441115273626,37.75590998793746,33.83239119625971,35.81962945701003,38.85362483078759,37.061253483401224,34.65456085318445,36.688688254099176,33.28187721062397,34.279220945267994,32.742539582519015,33.001656066508595,31.940285232671823,27.919868068286565,27.97160051329,27.19247325243496,25.24390957133567,22.44240564243062,24.174980489045993,22.316175046156175,18.80794300859614,18.242487337706937,19.977960022105904,17.90431499592698,15.205691344306434,14.732004011970965,13.263444858603856,13.313472141323382,18.085425930249034,17.773913931976892,19.69132164303613,22.430893701024807,19.07081879445309,16.54153567195022,13.111236317060367,13.229380194646241,16.948907856086212,19.678876225317275,21.671317683772532,23.757248424427242,26.120801342223675,30.214122420862733,32.163703612248355,35.257131179871855,31.496812529338108,31.50207249806494,35.78979611371261,34.33483362739209,31.910377800409496,34.773663123739524,38.70236669725789,39.63923762885802,41.25915552629968,43.1178811907944],[31.47957406164135,28.000020174148982,24.105273175067513,23.90961147431717,21.464286966012605,28.22443500958908,29.11176227053733,32.6821237176816,35.204031552975266,35.39352853192852,39.19458604285417,40.989992827144924,37.83119043973825,38.279774366143435,42.57492455017322,41.9229619123412,38.59577049718344,41.979756017271,42.15785472659618,42.47049852974595,44.81644967853572,45.783050844890525,46.78736617234461,44.484322625367284,41.73492023746383,40.11763594671746,37.60992576104046,36.59444959466434,39.41442918505758,40.242711849134054,46.43667733178731,44.64465753773467,49.212528837874686,51.569678264985484,47.518112993528206,44.87021003908304,42.56610093237026,40.36959765723521,37.62937811172121,40.040184522636366,36.8454472772075,40.92843516172926,43.67323129294358,40.98936123991316,40.98069697661873,37.6573128664868,40.899150567292764,42.13202993313651,37.0149043789318,37.96535452743988,42.37796016229481,42.49956166938471,45.70807206136391,41.25079395204181,44.70424091887944,48.734034463431584,46.52490389709652,45.81716119352174,50.42012218308866,51.136309862197415,49.56250711679998,53.30198360381275,53.6430105953493,55.05294836506428,51.1696272442585,48.71046585351819,48.645518673597415,47.303168722518286,46.194657369352214,46.36487055411463,45.88700775182224,49.3892821648529,50.451490771103124,51.50186608651139,50.6091377392577,55.956804844640246,52.227793432039896,55.4494033516626,52.29673478044502,50.804652777830434,48.30261846832787,45.20212416386938,43.542279799717925,40.754188362485905,37.828516447488006,40.17610982648423,43.33864551553961,45.88438464636727,47.18862309835318,52.218968070566426,51.55824253630022,55.891366237530725,53.741437641199376,52.37232848216515,48.27152984859829,50.577111430836524,46.81129710810811,47.04700558830067,44.52623795986814,45.987952005670785,44.33602077696612,41.28533451136969,40.77433389969374,36.67432455685017,34.48280551948969,30.62129042492861,30.539570604356385,26.47199207338507,24.408179114150244,28.27162100831775,26.41419788159,27.539847566406642,29.23993530166932,27.78641568951528,31.910320513364432,30.17199641383636,33.54818315104061,32.16252815385679,38.08884721365297,38.791848920452914,37.25547601143568,35.61336891398255,31.41432856024375,29.768461494850055,28.872983793338967,24.70132987509596,24.02997439103243,23.23714640020269,22.18176410856644,24.80308600954897,19.427176901731894,21.83909634868422,21.636713077960817,26.21595912514986,22.025356643221684,22.56255829300262,17.26013390265038,20.60658016172658,22.40750316726582,25.51246690468698,26.927439794211487,30.110033664958884,32.57988223406724,30.631921326200963,32.5421656569246,34.34296251591311,31.837639730115214,33.134956313106784,32.01404547120496,32.97635354825238,33.26558555636068,36.856375003025825,39.51549234253478,42.94592547452092,44.175313848553145,42.013372791771324,39.57786521589362,37.109989169326425,37.65944653542333,33.043160888232,29.981158881785586,34.08975121799442,29.430942679065698,32.46112848204287,28.252482066326774,24.408075473344525,22.955415322817654,21.280707160622224,17.53199852991947,18.699143801005782,19.779815035162333,22.92635010615375,26.81916792576041,29.92729040916592,33.488275744153064,35.80861637108776,38.03121716314918,40.89910006313993,38.00089631196213,36.98806991087745,32.51786429119537,30.45920845756712,29.704055165803858,29.569700789055034,28.391266447975614,33.08952762642014,35.15536436131289,36.10108353832351,32.571207539420456,31.822722707404772,29.13420807675956,27.98509644965209,23.983680202884326,21.545055375440114,20.685840826922107,18.609815208283145,16.241842011308595,17.72255375719208,16.30278994193041,20.256640841437587,21.159098683781558,24.508907214326264,22.238737733605305,19.43103422404014,23.466710349648256,24.473986652791204,19.637382975729935,21.901075805643764,27.41601563089798,25.398355276510973,24.211437401029976,27.530402794694727,29.5071184897033,27.077686537656792,27.420776376950727,23.867512805692833,28.18812388592085,21.335926773315563,22.228923996219123,26.080946002464042,26.29370233822413,31.132711154307405,29.590610712542055,31.478719978512974,29.314447430333907,30.92364720186124,29.41487088744745,30.18537516998815,27.89475550761481,23.34371328278672,25.500834989225094,25.32410466165087,20.995907726889644,19.889124347559683,20.948133428019165,18.018538137456055,15.355082782800368,15.479951622053525,16.733606021418847,21.963120798948,24.406079469313248,26.39215522207706,30.326540161949016,34.335411705283704,33.633905812708655,28.908981170206825,32.08279763746666,35.20062033653274,31.601770243415814,29.622634334462976,34.07062320260711,34.66232879654812,30.95544227489103,33.192273933126664,36.28803134244652,34.61613355945172,32.518503337901485,34.63400053490043,31.2213883332544,31.924559619094516,29.934362679484128,30.4106837610599,29.902161615093675,25.565414088551712,25.313282080364907,25.208260003791214,23.422081416802584,19.93770717914698,22.136421003268516,21.17968042698616,17.200260351327266,15.959212835877265,18.71442793901298,17.470789209156695,14.449051504094994,13.734250639322235,13.862833081135804,13.950665772337924,18.348766026341085,17.33784854018039,18.212720475063882,20.645707592906874,17.998061200958382,14.950160474564564,11.904702561067298,10.741060815822022,14.063382864879568,16.170400325208096,17.627993628650493,19.843542766472325,22.688353771893794,26.449292864572463,28.630654211427274,31.551265691405494,27.99452562927273,28.430418339594937,32.67348560032425,31.09468840162913,29.214911471301793,32.20035992708058,35.980375052632056,36.84055466727499,38.36937007664193,40.24368984245231],[34.600103867018085,31.126492809375723,27.287532435156017,26.213457640936802,23.71995096861901,30.46118747714446,30.84426735284351,34.58619348319933,36.700796862990934,36.271994328370845,40.01885650581741,42.17246273890316,38.50995254998984,38.623526983459925,42.856117365262456,42.24516047807177,38.50779468947865,41.49381452776906,41.0255917958141,41.44929817026819,43.36699923852777,44.20289188579991,44.88019434408803,42.2763482758282,39.85637228353637,38.48641719838938,36.38180840613923,35.79756089907917,39.04272005629384,40.413566764513746,46.42728088742468,45.164218499209056,49.76833547529883,51.75188615237171,47.6526369113603,44.64808413398643,42.76657673432341,39.872963333110135,36.944357637337696,39.25803473447251,35.58586591292736,39.60794596195325,42.24294677778747,39.248759900794774,38.761094236541204,35.2541397832514,38.31381896097258,40.02854055036726,35.146452070707,35.738679276490004,40.4245832730406,40.76547246818994,44.11732222116654,39.95451904689135,43.73616029061224,47.409562335177945,44.94151162743552,44.692513109284285,49.340960985296505,49.538110030593586,48.060483594979594,52.031550595438624,52.644061786974525,53.60365276438203,49.62511427665024,47.54156968446432,47.34938833530399,46.425294018851694,45.118490390216195,45.716210726962125,44.996032142996036,48.39487376578914,49.664866491564204,50.39217219830929,49.92911314847354,55.17929376242097,51.44054256177982,54.940982474728436,51.78161468034281,50.1328590670275,48.04687024952345,44.7926939890296,43.74624611971771,40.813562624076894,37.56488248212927,40.07160800883871,42.82690367238634,45.87590865826386,46.7059204376219,52.07675618597221,51.251336525438404,55.50921806355713,53.595301002829274,52.56782919395782,48.57216079030994,50.964179849888424,47.270971807872655,47.8256002299404,45.617176470110024,47.61203857639655,45.51287538086612,43.01194109041457,41.955048170556005,38.36417925592776,35.98260113876144,32.425413034203956,32.807147768579505,28.79512199601942,27.06635397443098,30.731647843262436,28.79979003450576,29.114196428325666,30.671211549482305,28.53946299552858,32.23856738763246,29.96768338954994,32.97157879819865,30.981079430063918,36.70406514376908,38.01806188326852,36.49516115719695,35.29397062244965,30.907570100314974,29.812048454357463,29.588804846763214,25.424947530722513,25.970258591301537,24.77374471774899,24.160828613586087,26.478461456895275,21.368791097238745,23.90495255735975,22.783551721190005,27.512030992455514,22.789185538966986,23.256053969755822,18.190727049976033,20.589970357485363,21.806739686312056,24.77643237483635,25.18347007830434,28.10215759969544,31.053073324905363,29.600961260328816,31.582423559665276,33.94655137574537,31.625149636050786,33.54148947941637,32.94835962718424,34.26499354229204,35.15677116418211,38.793865066063475,41.812373202181426,45.371705485242984,46.17566451287388,43.861216480883456,41.0610344825422,38.80422498882885,38.74984616937975,34.39504354850071,30.647116537117007,34.19469296229688,29.011307906459784,31.965867312588486,27.400842736898923,22.969514906108138,21.96995058339231,19.50657518955593,16.38065493540607,17.573362179204935,19.390748409120512,22.529275627154465,26.687068292320863,30.141712288304266,33.836918421304134,36.62080299597535,38.679829964839676,41.70838202943491,38.3357860463571,37.62874264749958,32.68195518812871,31.449908443180593,30.368194722211857,29.84353318967418,28.328559265818935,32.4462968217202,34.265651168374895,34.802959613870996,30.74108097086899,30.285206555019187,27.579727037970862,27.00513862832291,23.32214754301057,21.496111983963818,21.31013819206586,19.945646864286644,18.093398636673047,20.415634030459636,19.757680212787772,23.515839621214944,25.118005928053535,28.284752731556154,25.74573435939762,23.547344716497324,27.771082770871814,28.444903546739702,23.603040225919646,26.33812250277193,31.76321194447269,29.36370200128104,28.390830616690273,31.893842257698154,33.52204147150478,30.871500138782267,31.573084370079663,28.096097373521335,32.72824316322761,25.95894157697877,26.970686026235754,30.89142210695103,31.20105154946171,36.02583487000253,34.45645405079724,36.286900076165736,33.994334189686285,35.404123336612344,33.682542437430385,34.305703570414536,32.288511030363,27.70591068384216,29.471364203484494,29.257740717118807,25.167933094629703,23.812252883807272,24.29340519172298,21.695961685221377,19.51662451800033,18.636328634085043,20.70127415957532,25.27006019772377,27.97467959503438,30.38228843074043,34.07405539763048,38.3172053567437,37.26744112282193,32.66005032643646,36.242875077265616,39.13206818417879,35.31889527723975,33.72018501434719,38.22701537757881,38.65951507291963,35.04470747323833,37.59666246933397,40.60301678470837,38.729359212987845,36.933516971799214,39.219690471096726,35.87191493924137,36.58938529835614,34.43681364992749,35.03532370884198,34.70058599758963,30.22917951341999,29.93206201335069,30.02436848849522,28.26958434909026,24.639858212723933,26.84162379191901,26.04085227060318,22.07454705122293,20.662310968559215,23.342054749327513,22.191645849410953,19.269972474802994,18.431022066728115,18.323087593623974,18.016251904516988,22.719916866498625,21.329705675684316,22.469470964530373,24.357612523664546,21.366131169934178,18.603809212037888,15.905396933375181,14.845673630593229,18.3897136874077,19.54513517032499,20.825709151308203,22.331121497157127,25.84588708798762,29.617398991070814,32.162931970700875,34.62244899778832,30.90377123795934,31.87359929383217,35.980361779442525,33.77061003920074,32.2403624484685,35.63900299699968,39.25551266418543,39.91499195442728,41.28791976920242,43.25427699133186],[30.710596108509044,27.16481491028201,23.047249197390247,21.751635502126593,18.71861723909102,25.450840288918748,25.574848307337255,29.260579565723273,31.398004094749353,30.927072958367088,34.6788903464767,36.76266263208946,33.104273462927345,33.343182875865566,37.54416609040089,36.90064577077516,33.26744854726823,36.411338821608304,36.270051094943966,36.68637016310459,38.8781900489425,39.92499097882068,40.79134407706168,38.429222023435756,35.76156921156087,34.10201233544509,31.751882577146908,30.86653444259521,33.93561688887826,35.13891308796918,41.182523418043296,39.82008947121192,44.41848195872262,46.51764218630237,42.460575135760244,39.54827451947329,37.59820144208122,34.973143260334325,32.190573523246954,34.89160469037153,31.288246995841682,35.19225406455865,38.05187087560834,35.35680538649528,35.230483566302205,31.991155137965016,35.39149862824625,36.64217670412517,31.614512815123796,32.88198406193818,37.364187239771184,37.657738230581884,40.792158247431715,36.13868768011876,39.888058754985444,43.718534330166804,41.18673363483522,40.533142341444474,45.23625331226465,45.76240541631787,43.94997671829967,47.6880059758294,48.05160965096082,49.24875387796945,45.3540556931755,42.994070176305264,42.74610307698705,41.55837534274976,40.33771940485757,40.72295113446617,40.14970787429092,43.64062579716481,44.75025768707112,45.63678873641522,44.952518086069794,50.28458818411465,46.60933370147941,50.012139749696,46.929965134564135,45.480882766674114,43.27348615118344,40.2362821878394,38.972520867958146,36.304015362921255,33.033966358397294,35.23821592656467,38.061574201575816,40.903812429964965,41.785908797368556,47.01307523112853,46.164555273096475,50.431499355728484,48.40761528614408,47.27291932718359,43.24017015558868,45.626760451066055,41.934942182859224,42.408469106038744,40.17516901037106,42.18984673077486,40.115642536673064,37.692821219337475,36.69227939777417,33.17983833510746,31.109093863177332,27.406551292083236,28.136040176700472,24.307794112088494,22.36312990185877,25.79932680147234,23.644227996666682,23.758101615698784,25.237338679907417,23.102429569277145,26.882798044386863,24.760857475757465,27.907197175405717,26.238452521556173,32.104619753563945,33.063898712461416,31.578680786613972,30.203372503124932,25.9388444621727,24.630637136525202,24.288264421277127,20.015036936884727,20.673056592119455,19.388605837321574,18.996411239063846,21.55640669174354,16.69828840744308,19.817210412298888,18.71417927665078,23.13880908985774,18.112128852396328,18.083970113676155,12.895759761004644,15.29261584170728,16.70021008982772,19.769661564708304,20.805193215754926,24.018939757584548,26.562507543439335,24.78228495413043,26.83175130490825,28.88224448304584,26.441209594611987,28.188481152963014,27.549942734149134,28.819782410799036,29.79769321709962,33.4318261545833,36.53996495614646,40.155142258342394,40.8199382980075,38.47616855930109,35.631466798937915,33.437722789401775,33.355417277883056,29.09862554588355,25.43159830781196,29.081269693943455,24.03982782747801,27.249009475261463,23.063065277183135,18.776841970298623,18.02990027775395,16.36833643761159,12.72725174068054,13.144989614700261,14.769307803378457,17.62787714081325,21.975777641394156,25.33386188509866,28.92430122287151,31.63495705086224,33.50327724811157,36.74191770047671,33.54831680834409,32.95952074828386,28.18764821285257,26.6452358837476,26.178313490451274,26.101539700951363,24.311351807395404,28.582850235234044,30.152163132768663,31.349904294320105,27.439491789493207,27.26818662988013,24.948108406304282,23.718770026087014,20.267938704173293,18.123396864152706,18.075144513416625,17.109844010806444,14.343012019658195,17.015526944650823,16.26638864471952,19.409845926368675,21.74759187431755,24.360249561459174,21.423852619527633,19.948046863147066,24.38422670979576,24.465399572912283,19.837904854583716,23.195733974962117,28.309660487653613,25.606562355379193,25.163857436066284,28.847436136042653,29.934097475338113,27.46225825336559,28.86530037543927,25.556185400683095,30.445710867370554,24.52195157515236,24.943003087605213,28.978088769215184,29.888146610586272,34.77031030813235,33.45605495428752,34.76285538414526,32.288666230255664,33.54814487536458,31.261990835563097,32.50604469084564,30.948464511712583,25.679375081508187,27.393015346984146,28.174338542904483,24.06095366293654,21.983810897362563,22.81843478620609,21.294644475762144,18.531016079553204,16.52870350635606,18.062239463560122,22.02890446867531,25.147003298006744,27.38753795271593,30.77269876598268,35.07091783885243,33.49447817463882,28.949372001242967,32.797762098472205,35.280053588137854,31.149526706219,29.919908674238176,34.411273178149415,34.591079701227784,31.13411204909182,34.15644718169037,36.987651720428815,34.92371247396432,33.6433331079272,36.206484860203346,33.038967922328226,33.801594865760215,31.39963667279314,32.56483978055282,32.463990266052456,27.51277246310662,27.499171199523143,28.274431731369194,26.37313265673764,22.428652724059774,25.60958448143182,25.30905679547469,20.67622182621575,19.38693865868931,23.198887052378314,22.328108422779486,18.916964347356576,17.18042201335236,18.667054307078278,17.67965195887146,21.946368861738502,19.495598468039297,19.858191452245936,20.959253312160982,18.52207028395602,15.66676583430272,13.860953172609491,12.019634787570208,15.330792141818621,15.162095736335237,16.370481464485852,17.25054428405245,21.13426815453089,24.86920236682191,27.678024980709456,29.77445615675586,25.964349196611824,27.359609197923902,31.32291159024589,28.767772528169935,27.647341647785694,31.29391213924219,34.71366180246823,35.262913194649755,36.55569523621297,38.59210789965673],[29.588749941759325,26.19134227614899,22.568838827940617,20.250756984173528,18.093099075262206,24.463900600856686,24.55442809182102,28.630614803658922,30.10295120103232,29.403368762578722,33.09931554395916,35.6323225764647,31.998209913780958,31.574578671918108,36.03002487562731,35.77380764583787,31.96270308946282,35.08325403806505,34.6893674963928,35.67386216804517,37.71919670544444,39.19799504049101,39.72770557282304,37.23772191102018,34.84134243119634,32.822158658647126,30.82758024609655,29.750214511646575,33.02570990914669,34.511249139528815,40.103135662685965,39.30174170647468,43.85203984961862,45.96197516583493,42.0835694942699,38.966208573301124,37.484116086193374,34.71349692297609,32.09470256385001,35.46202607877947,31.332872419354576,34.74435002356868,37.917648877551464,35.311707033145346,34.93392908327804,31.853263584188767,35.421118002837254,36.83108676863068,32.04595814158106,33.66911205718502,38.23728979732494,38.77461477247458,41.79536166802543,36.929513021874875,40.971535481256325,44.54513034977075,41.59647289174176,40.944609532538834,45.73927863583353,46.054320533741375,43.78636798928557,47.37766843769411,47.600190058280575,48.517343738086986,44.68122453265236,42.37507842998015,41.48564084425756,40.31305161244492,38.56339203333047,38.89659587595881,38.00454039331234,41.28273949371756,42.79659157974058,43.8656700825814,43.575390061895696,49.123426253541766,45.81478855359015,49.42340382013711,46.6250632442821,45.47622682309286,43.58395615782966,40.83996994081858,39.82336609834587,37.51359230075272,33.95632888397424,35.70906719135516,38.11294805682556,41.07351919491862,41.37970401059279,46.63201869841819,45.3462469191763,49.38108160365995,47.26117252935424,46.240721887723396,42.08071103808061,44.23157313258158,40.407336586744414,41.518499227681374,39.426396232000144,41.828721435206695,39.98356135637716,38.08918781820458,37.16485566354676,34.08708230371293,32.669280764022105,28.81083147092633,30.152237718751664,26.65443370209542,24.312853929646163,27.299314414533583,24.455298744036373,24.197027511092855,24.840554281956337,22.462102529787654,25.632077120942576,23.19729743609949,26.33849839678812,24.306485078462757,30.13120043889782,31.298196995385187,29.42827528639423,28.14135094429429,23.600585340477014,22.62741750418818,22.631676818807556,18.990794875313508,20.40867720770192,19.724869029168666,20.18586619218643,23.279062360031457,19.01824278192167,22.73439237803243,21.508089289226334,25.517170139016006,20.050596068373512,19.024629584317434,13.945128888866794,15.036897921940094,15.353310442997063,18.86187171591925,19.105562816858136,22.849253336596618,25.309337875893224,23.71739304769276,26.304959064915284,28.310584588662685,25.724613765779296,27.68118947904799,27.46463667636941,28.37598954809463,29.903598006277708,33.07103996549665,36.646464636170194,39.84541824116827,40.40697432993303,38.34939602681371,35.32956007469311,33.64305267018638,33.285981032681164,29.657643180445888,25.930816241318094,29.20057595342143,23.97011002527111,27.657105664029874,23.885796704884022,19.115131079812045,19.511610882154116,17.936656638344576,14.718361558925277,13.929415864627304,16.081322076848053,18.118023898020393,23.009933770751736,26.39927806756118,29.80703823699141,32.66257641000302,33.920424455800315,37.721307831203404,34.56877603640619,34.41187492369666,29.65714023798828,28.20910649284302,28.412845624465835,28.576012714093448,26.323216412107694,30.16320266151938,31.093139564554928,32.66542276865158,28.326341712596694,28.87643286157392,26.94855781894231,25.726252012118213,22.862778561324475,20.97192001913092,21.369626978957104,20.895567886817247,17.73523280633688,20.54668797815909,19.46507756409183,21.99946534020881,24.60667709300856,26.663550941977345,23.285722781442956,22.074509844762996,26.544526097501816,25.876300403406173,20.84409416616114,24.716833696365633,29.72773065135527,26.137914919194337,25.718802836021467,29.606185503309028,30.215852638597017,27.230376226958505,28.974175444420524,25.876494201189498,31.2616877580053,25.658955675828626,26.48766647789018,30.651600882318167,32.21368258463566,36.94606976062512,36.21043025374518,37.660426004368226,35.422070248449785,36.908685771476705,34.564518122579955,36.22027860923378,34.58531902391822,29.123632391636544,31.11705305177895,32.20759599593908,27.951149096661247,25.852422524993113,27.013155923953146,25.531402032397867,22.455798445102285,20.62589594125534,21.54194277556028,25.43294295603734,28.69671282918044,30.547601529714765,33.831671966427535,37.98356415256021,36.13474566668004,31.589395442260884,35.27408433903806,37.48192246453225,33.07045341914028,31.832721887907745,36.096177826258774,35.89572162428104,32.33448462085305,35.737546275348514,38.24522390106674,35.655957427513904,34.71404070259066,37.611282418633365,34.666019973662124,35.89400211753169,33.71993102785198,35.29850410563867,34.816117540119734,29.59878970680494,30.27773323934398,31.03483432241338,28.743605301221095,25.154137673402346,28.86738268907048,28.09730818071947,23.153839393502686,22.642953183882984,26.55914307320053,25.10875212372111,21.429944178536534,18.894014244796686,20.41737654828919,18.392610501327216,22.79918588084096,19.625488343793005,20.543581913181004,20.867603172133066,17.85375716479801,15.699189878800238,14.493952203555473,13.44888787972855,17.32005546457858,16.40286857051529,18.367510574951893,18.04852916403765,21.767290587914157,26.006012085146732,28.914171302932218,30.63163888895984,26.304353320351357,27.787984269856796,31.58300000054398,28.45897946707113,27.152465899439953,31.165880561139648,34.492748367144166,34.91605498881526,36.170078054903286,38.33309452525087],[28.485956066948592,25.123073600226626,21.34243198161862,18.462025604865747,15.662584614596817,21.667278299880596,21.081581830343723,25.060637319287594,26.321232025808442,25.182044347241757,28.816706148423492,31.427763492744,27.50710894332358,27.078311416605423,31.40718924353416,31.105227708892425,27.198634588722467,30.253213859762333,29.887470166492104,30.889877293899417,33.01615134658307,34.63558903137634,35.22459361935989,32.88067047942438,30.37122761317737,28.171536521275286,26.111641830692143,24.931042762253373,28.222080510459556,29.810555654331196,35.327733242270455,34.68317810942265,39.224243618613166,41.23802374277602,37.387805062268704,34.20478038825836,32.87290028850148,30.04550386771044,27.518308230556308,31.219999058619734,26.983104149056093,30.186218850501465,33.51750518782642,31.117815641073072,30.917344741640775,28.09597662521518,31.88992245477077,32.99500705894774,28.244111901392703,30.403969043418357,34.78474852530604,35.3755879169204,38.18067653176553,33.01876028648026,37.10849466918514,40.63438742404738,37.54988101467984,36.697811555085394,41.51104614051932,41.92772225234476,39.38984723442197,42.82789434709617,42.927465820208745,43.89378849522093,40.11166210905847,37.70121610618932,36.727595245109256,35.48656216376604,33.77231776021281,34.10918294856099,33.28186424106153,36.635007276818676,38.0307424070931,39.080716849280314,38.73802271507297,44.29391557422417,41.02561450260477,44.646297913581186,41.91891412388211,40.893457514973676,39.084921990365736,36.511682835486056,35.58949595615456,33.5154629246836,29.83175385477556,31.307777422222966,33.54746537737098,36.520352690558816,36.65178960961398,41.900323406568695,40.53865155302548,44.552254721610645,42.455804893742595,41.500374680709264,37.38717785685743,39.60036540537161,35.850703039203026,36.988386904292646,35.056079670460974,37.74103193079451,35.65643209172558,34.15513241724935,32.986168787444534,30.326309043123562,29.156783823447398,25.43621304858035,27.34659418756759,24.222404603202648,21.977131664443977,24.45511817145206,21.471494552628364,20.47491148880566,20.910901375526965,18.122950303200536,21.04556408431704,18.463272726490278,21.518990713194896,19.53132698902414,25.403341797061213,26.489583248076755,24.706782832105063,23.482448777561885,19.00427326198943,18.129695156767912,18.46190649141954,14.76197294781553,17.19204015395998,16.167998125941757,17.212171780286422,20.20889492410527,16.771120492161515,20.842218985815798,19.26482888191862,22.726514745948396,16.986640507093885,15.274064613321036,10.772221409635213,10.673589272017534,10.573695850716044,14.114745526457382,14.502695288270614,18.46975977236982,20.640234858341717,18.945445228710113,21.65037073614762,23.578072975753347,20.989660829161224,23.107116562907887,23.174909895143415,24.249138971660066,26.202933115064805,29.360514695330085,33.14881084465773,36.48319355987802,36.63807823754628,34.45272417754274,31.217852721759755,29.724999695759358,28.98949656593805,25.687814192270462,21.740146676316016,24.704806992339854,19.43421366255175,23.320252712300743,19.94890586142905,15.203349454698792,16.314012845394622,15.426292821449197,12.448952232969555,10.464721146786264,12.689416340995404,13.99445160930503,19.094034340068998,22.430558298671958,25.683665208930016,28.650170722658054,29.58468213079132,33.63072531549007,30.470454693401752,30.608244240418916,25.91972112977854,24.634437330948984,25.33661255272934,25.769881175581062,23.14414071701775,26.67973692148137,27.1654379551219,29.222492264313445,24.902363007676584,25.915526726782375,24.481847984262505,22.89964735133258,20.653164656503712,18.90727200318358,19.755230452362945,20.036961998852412,16.61748035195663,19.80600167704596,19.099350415463647,20.750523705766092,24.173495713478804,25.550103466857653,21.882742982224563,21.752264476208737,26.221873063353478,24.94370124303813,20.509616159085102,24.876319203050475,29.320351121866967,25.53087857030916,25.77327289910987,29.715508859736502,29.668724443216195,26.96270995573432,29.456941375355928,26.654292179781052,32.107062255655215,27.442252358882794,27.69208239238875,31.797995943989918,33.73203412673026,38.415328960835744,37.78681697377504,38.71272245014176,36.27352778979944,37.47259370316867,34.61643023779884,36.64012481426266,35.558000763034144,29.72476508249796,31.396279091622674,33.206262395827615,29.190722196391363,26.526823426139096,27.647899643884465,27.156188474093845,24.023463099298098,21.117578842325674,21.902789534286985,24.724532820720345,28.28106486499996,30.12908624735063,32.90957446026462,37.115897510105206,34.683982549155566,30.411603064235564,34.4386529603065,36.114847601371565,31.44579834708466,30.813025020953955,34.98443609948435,34.50923963966225,31.27947842284373,35.142794944055794,37.42024120928361,34.68865443962281,34.38386831354573,37.49485037193946,34.789810236319255,35.95040809440638,33.497808567497394,35.5321880115923,35.415026362394066,29.928047542801096,30.69895186870051,32.100396275268594,29.851429386274535,26.033899534258417,30.29027108919774,30.090078267898804,24.902199021978582,24.297658220932185,28.829699315398894,27.789154651083305,24.004010449543113,21.114132728988743,23.59534004955437,21.353723432994556,25.22805996446475,21.38106905084195,21.531937042496327,20.925272010289227,18.66947735072466,16.702689833567735,16.515662493593553,14.897149660537572,18.04808664965442,15.568587201144958,17.100911036204042,15.679970550968791,19.93886564197014,23.857557014613565,27.103715639249003,28.14158217753574,23.831348434169694,26.030442872051964,29.464582868574322,25.740338205441404,25.195830867892585,29.53433134142472,32.463295324774265,32.64446254119267,33.68540594292338,35.920383521967324],[27.784616298995598,24.23329505566305,19.897360398218375,18.28849806301724,14.589890075801327,21.17628435116383,20.90840319600118,24.508680987091765,26.633931913061797,26.060322312418325,29.802765742223126,31.82314133623392,28.135616520247225,28.508251288712028,32.65332158037867,31.973650693585473,28.447168547692737,31.7427952111165,31.94685363571984,32.358908864545235,34.82743227594412,36.09980743502636,37.1483302379216,35.059813514282865,32.16174927866266,30.19799470617984,27.606016452557824,26.388456539691095,29.255682380973177,30.29070352085363,36.342372717205215,34.903070970777726,39.49265364485256,41.69426415670809,37.691414617875246,34.868484736709725,32.87519775858523,30.5319222813121,27.931796155303036,31.067604843118712,27.549365748616488,31.26481735208874,34.35309263274596,32.00609433533741,32.256073905555525,29.356575719719,33.06066371983313,33.818985605305166,28.72204038052531,30.697233944843717,34.89979383245177,35.16606434810245,38.02780059314852,32.9116004244032,36.598230726591176,40.53961494343569,37.94662100811379,36.88186899072516,41.60684462603555,42.45266686620828,40.29107690116053,43.76303634609176,43.86738642674039,45.295024331887745,41.50477334256811,38.87233770395433,38.55230893488644,37.09666090496578,35.96717386932759,36.1340850998697,35.718054732176476,39.294579474007435,40.229277896298825,41.27210092023351,40.36746279337749,45.77301654544256,42.17735942742607,45.479833466326724,42.49263632721122,41.26452636212771,38.95972752182566,36.17845399629917,34.71715390850811,32.36668545697139,29.074350153608947,30.907776693872858,33.76340978271899,36.38837485480322,37.291251690468286,42.361616711494186,41.47651334848749,45.74021486109078,43.611337839505985,42.379636592275375,38.316891238479414,40.70025213038721,37.02096022722314,37.42206963139665,35.18467811009862,37.262176411757665,35.18538406594796,32.9043881755112,31.933548571014907,28.574660229874425,26.893381996344228,23.065729168385666,24.26767864997195,20.752490620877452,18.599398843424137,21.64446914987865,19.211322797189023,18.97204207448319,20.319776941030977,18.127148811642925,21.969911326733598,20.015789382905954,23.29774439732782,22.017819205412188,27.98155776008486,28.547430770687352,27.120816957515625,25.570017135231065,21.483606306558894,19.946154352754306,19.4997315392217,15.092155191829399,16.028297347204543,14.593697881244898,14.596411613388632,17.426878041882375,13.133286257032983,16.92046761432506,15.817239137663169,19.67831374644094,14.354210116080612,13.560445300997353,8.336586440404831,10.529985644795453,12.172379335624488,15.31709430678441,17.133128099355307,20.62320240663581,22.631038804217695,20.487525662176495,22.608400500798652,24.279797680831606,21.712315519664752,23.280129684851744,22.627826599157316,23.86168867655978,24.998915814478238,28.61959624362156,31.854773798168843,35.53682691327084,36.001622784391344,33.61494069588628,30.692401444377047,28.600486093981008,28.43448481071034,24.34283838805944,20.745412739809563,24.45711442013867,19.604451676817735,23.103577698733684,19.460149662857912,15.464092992931745,15.144771799579601,14.577016329052995,10.70526298966868,9.878714549731178,11.14361577843231,13.422129454071912,17.96299598846783,21.159211738077445,24.581912384369243,27.216341417173062,28.82094495781975,32.315464123988804,29.320752814932902,28.907377028270677,24.369953836004065,22.52573053996572,22.820737982172904,23.26042060956037,21.155313706691842,25.45845189358941,26.680232220920132,28.598399807803098,24.902435360763405,25.092325426624306,23.28059052561515,21.39179080446329,18.406286033506944,16.059590251373205,16.245173624632915,15.892840179720036,12.282150436571342,15.225163375448282,14.477559406222568,16.60060682471134,19.779034633402695,21.61048470639652,18.2588935127015,17.8027893655351,22.300904029137424,21.65478134911289,17.478303874447608,21.443545250977326,26.0245050004327,23.02148066169204,23.21825033263277,26.99678714982942,27.43097260514529,25.210724001188936,27.365320678166665,24.35078231179672,29.371173831834025,24.510453416534382,24.331517411982958,28.34053024711984,29.82231607296446,34.62565349634553,33.595588501629415,34.365782162119196,31.767239320834346,32.83801496044746,30.017337248611376,31.85717906835398,30.808711561286938,25.03208715860228,26.607461646542134,28.345507712172875,24.386058971145808,21.687676224944724,22.805003429109043,22.390326121691132,19.287383583311847,16.29104214465487,17.161256077433492,20.157261986761654,23.625252605460496,25.625311097785854,28.566335930326233,32.85313757638096,30.700981468279895,26.325728094342388,30.414894195876904,32.3868275452357,27.9412026786002,27.1892579254341,31.58246466424902,31.462066372870787,28.247487855301703,31.76304034372405,34.348924339559865,32.089342629581516,31.420721177164236,34.24567986233237,31.335879726514875,32.1331933670248,29.510167308179856,31.255322756383737,31.405627072637863,26.083383156721784,26.372713702428985,27.83088749351742,25.84782657355436,21.74859641789426,25.76917712396239,25.954918079553096,20.920161285245896,19.830148884692193,24.459055156796154,23.87231349143261,20.238489383697836,17.807088791763707,20.57868300796352,19.06778401461966,22.672850627576146,19.33004189541968,18.862095838565455,18.967014604138804,17.30539813563371,14.604987991019657,14.02896778617395,11.597479358790117,14.205202647803477,12.238830710943661,13.248258628041935,13.073486626503872,17.4301037193547,21.03324346209789,24.142381407314506,25.719715997213903,21.831865665966742,23.7822047096653,27.490703022838996,24.49187025854947,23.93248487445584,27.84603937774631,30.968936190482772,31.354252286393145,32.521429268106594,34.628638031986064],[25.60758075243655,22.08030072756803,18.048082410381387,16.497312637454527,13.745361914342066,20.40511498881665,20.812779061225996,24.688539042772394,26.710207024812043,26.605184706714127,30.3955236045089,32.47832117471823,29.273555327369312,29.38497394606332,33.83172385441122,33.4271754959585,30.08224810081673,33.6473505482863,34.06246450749767,34.78960763591185,37.36621979621441,38.927119399413726,39.90712612065346,37.83735064364363,34.9997413805602,32.749987481765785,30.204571083620056,28.643216612849738,31.37659394844318,32.21941263408175,38.095145283404115,36.64515851702617,41.18181488311542,43.66718210821866,39.80833017373985,37.09720005971261,35.10365794180272,33.11844273554447,30.711905648301773,34.168774962053355,30.642942876069405,34.14776230552509,37.412699110875536,35.20147755505204,35.456369290982664,32.63619637834473,36.4009960204202,37.16381423672204,32.10818945743943,34.19376922797383,38.39099991325922,38.649618061413804,41.47811003531398,36.252031163721014,39.9109815099281,43.88429192252219,41.24366593485298,40.03729885911824,44.77185262741065,45.709880053226556,43.34660226851344,46.66048720784629,46.57983653820878,48.0507245663317,44.33510386524976,41.58433375589148,40.951481021971986,39.29235917263659,37.90435455669275,37.76957782635824,37.252339243995536,40.71159338459619,41.85133182205183,43.22326410243504,42.3551296708307,47.9568360677217,44.59963539177614,47.865303016302676,45.04361375062484,44.04978697158756,41.6815001919769,39.110509481967085,37.41820567055693,35.285046474800794,32.07269197726043,33.63314721994884,36.50889084960927,38.902781017353675,39.77658310471657,44.65364793331086,43.60632328440658,47.76204814939674,45.41491990733948,44.02122203313294,39.77883001518799,41.91304226573474,38.051504984518715,38.692053648581364,36.27345584408127,38.15446727744828,36.64519372778853,34.19984829513959,33.75635489471515,30.186522199955924,28.983426801948617,24.79451906915422,25.857859816818472,22.37636703352497,19.652233790267776,22.739685131402492,19.87000283120163,20.290326940599385,21.173110210652503,19.473916149369845,23.267373951172452,21.51137094714667,25.08685501024478,23.91795891572126,29.95110971212866,30.314532688857554,28.561153258266113,26.748052013953153,22.54027576947054,20.8090801609985,19.977318511837435,16.069174492634055,16.195377078640355,15.765323755025976,15.853472416915162,19.363697678781215,14.963272141711332,18.869032463217668,18.44557595091453,22.16581082355063,17.10023884654229,15.977789816011834,10.517948064197038,12.847656803575479,14.158138937101665,17.713084692770238,19.49863029984338,23.38458642471618,25.180737415269988,22.927758853741096,25.321981000510274,26.641481727611236,23.859547559464264,25.0904195375704,24.263013209291074,24.894081346933852,25.83261395398053,29.08476052291615,32.34237346367991,35.58190689281331,36.45031167399896,34.429022529318246,31.714665104952097,29.76276205674991,29.978667084882577,26.02654703710147,22.966805784197312,26.886903910354,22.284065294665442,26.038719351975953,22.72916461590639,18.78336077904849,18.617242439138444,18.110473736885876,14.205960774611876,13.296769112707407,14.427681472996222,16.406832346717437,20.97763237002653,23.96691682811023,27.222795959503465,29.602308256860606,31.025454966349535,34.68494775115662,32.02194613406413,31.57894021249181,27.33491438399229,24.9973319310797,25.688803070719196,26.352261298963185,24.3563739472676,28.800882764626085,29.956800978827424,32.06057713803548,28.39785591788116,28.626951349467134,26.80579128400516,24.872186821440707,21.785116903831167,19.25832685499224,19.111101162822266,18.26155991368216,14.331703714871823,16.61933729457055,14.943984208233926,17.179847422718574,19.716404244812185,21.57494409916417,18.16425790108318,16.969291179040486,21.432067959052603,20.68629462551736,15.80426224636008,19.747625581119323,24.624500010436396,21.22436804146936,21.006367046928847,24.859921591082475,25.45419157743606,22.828671966634552,24.719709030565586,21.64507489714626,26.875689091110008,21.780777183411946,22.06157180353829,26.180576385255836,27.932597793913978,32.65710410711239,32.010119619287124,33.15080034585677,30.88712807503098,32.3654073179306,29.875305513279812,31.904426613365512,30.386925725375004,24.68154037804235,26.830438334046413,28.44090865487452,24.158512177997046,21.860015113598873,23.524402719601426,22.478782056698037,18.962120987759725,17.148921096454263,17.176795888159596,21.049851659726656,24.30814002144617,25.77637533206683,29.037065262026616,33.049197995660954,31.200490150299515,26.61397739289834,30.165739529527155,32.33918697063985,27.93352862190286,26.631054864921488,30.88350086860109,30.70913869110699,27.172500757539737,30.58613440951849,33.1111976566237,30.63656692712773,29.72934006360541,32.61815025363622,29.70678565030439,30.875567411915053,28.63981050670387,30.40757923188148,30.00775747965465,24.664090167118793,25.46569165410201,26.506574577918514,24.190811474718824,20.527700596559594,24.714595025994267,24.232314642606802,19.049063797325665,18.685141281212076,23.159648683313446,21.954845100570363,18.13122341394587,15.248746524853564,17.909146183405984,15.909966848696763,19.635999745530825,16.154426147479786,16.20989423574609,16.446989449546496,14.20496828026593,11.631951633355362,10.945585022314809,9.141866678539415,12.536082478051908,11.2447059964242,13.348510087453391,13.246417158748558,16.75354119732883,20.984607045948234,23.783313936931062,25.716196758104207,21.49041088078817,22.811502131143044,26.70107172664477,23.953840070057048,22.62496811541025,26.440431738003536,29.82695726321141,30.37369140357751,31.73329226242684,33.86518910195367],[25.85143820063779,22.345416750773612,18.482080547676286,17.761124432454558,15.569993743576907,22.24948989759626,23.247301760052387,27.04499689809455,29.308731224779823,29.653162001107386,33.45753091535984,35.36172086855968,32.49401566869484,32.71319532098718,37.21235129177775,36.813600208357386,33.649980590073234,37.32924119336881,37.880564961099715,38.5472631735026,41.172472718627105,42.65767737758028,43.69128472054532,41.60894954299703,38.75422328778515,36.57565679170525,33.974547732222725,32.39668432101077,35.01028108520695,35.65060823789969,41.603863342511815,39.90920216960393,44.42142912165758,47.05313219455118,43.1958290614545,40.632240777097564,38.434999532614505,36.66483619979405,34.25087353420654,37.48189934306029,34.16555490854771,37.81517006461126,40.987624304662944,38.72336523303093,38.988155014036735,36.053645471507316,39.70489590461444,40.53543105905484,35.411490702083604,37.22538575557337,41.45697126887677,41.615658031144086,44.54076147864651,39.459096974011146,42.983088895042144,47.069691358889514,44.60231690957308,43.41461275567642,48.109244152468364,49.116483257514794,46.92316251040289,50.2771133928081,50.212886481810244,51.77646455620201,48.0517316160689,45.27814755133068,44.75632661518708,43.04338290822462,41.70549964739705,41.470536612141565,40.985946037728354,44.42754830084986,45.56886707887701,47.020409840378235,46.065615752967105,51.66683658281961,48.27569089359677,51.449241150132245,48.57813753285541,47.53546812276503,45.00581398873168,42.36364187854354,40.458135606292025,38.211761819153715,35.19267904878304,36.89396603883258,39.968009892434665,42.21770760648256,43.33616274577784,48.11601001429326,47.17945666686442,51.36786656087576,48.9559936158968,47.4329280666588,43.15571082832319,45.22980129618824,41.32451187139902,41.83673511453754,39.243190338902984,40.767361412986425,39.538129423583484,36.68731547267839,36.55215128057501,32.59580460456869,31.27554371888929,26.98430012125675,27.49219566948565,23.800455324238957,20.98393459580301,24.41883305620125,21.75959137257275,22.897939050281803,23.952654758180632,22.71127647618633,26.696169771817402,25.16113176372959,28.82818269723689,27.76269252514602,33.80108638102897,34.0756571529271,32.28994530263061,30.353278267042942,26.185108061783303,24.299833492329917,23.140410524667494,19.347949253248146,18.527544995250558,18.430006467446205,17.99077492779658,21.50977582820175,16.63275133552991,20.08109557304855,20.187075804882127,24.135821913491295,19.54868843856231,18.93560623548501,13.389412369621214,16.416936502016593,17.971261074347545,21.47709167055926,23.336238410488757,27.137724998512176,29.004578151561347,26.720426445009906,29.006759374795184,30.253115848590706,27.46260225974309,28.448155543963285,27.322828470493477,27.76619018566191,28.235913891421625,31.44989137707159,34.40699900131736,37.49830164282688,38.76107636279949,36.8752452028482,34.43504484597567,32.30405814313202,32.930532097231655,28.731659497071483,26.03080786389595,30.223971149361024,25.80909937364865,29.408949902748628,25.957441332554225,22.170192621410724,21.492600746772997,20.754083494065174,16.70832967059108,16.507250719638737,17.433607158076057,19.778275931073733,24.069033625396223,26.96336541065687,30.245581803856467,32.40941877320316,34.085076412974985,37.49618533862424,34.978049037649086,34.259341043972746,30.138489651334464,27.525858637781973,27.94465099684161,28.512854785115877,26.88773449905905,31.61400687639915,33.11358952805693,34.98237553166664,31.470811217816816,31.32286381290332,29.204744029851636,27.387761360818057,23.877254279553608,21.167581649305554,20.537146022097087,18.977012846956992,15.249920528594423,16.863669688415992,14.665885901959726,17.575331041297076,19.15367971112021,21.56462984763034,18.556398675868383,16.300962812481824,20.61208418079057,20.4870037611734,15.232603507050175,18.511664544602056,23.820784412467898,20.781637072359967,19.960375731202184,23.65973361709648,24.901359059583083,22.193615806613874,23.3328610997941,20.006073406224637,25.021023646667217,19.156727352828415,19.847517745555123,23.97303437331147,25.39449509291796,30.153114718616795,29.432636316551534,30.988053502696374,28.934973228318707,30.694652771628743,28.687867252272536,30.47532661459359,28.45611657442431,23.09913446280135,25.617110440348714,26.682517441208137,22.1790741989349,20.440477482681256,22.329761270090085,20.439446904299704,16.824502941857514,16.286801113664836,16.06164312969025,20.915559244475475,23.79655630260875,25.09262483032342,28.77244204350939,32.62363648677878,31.343952063514802,26.5741742939518,29.685606234648404,32.315943138807995,28.228114095916826,26.3584064616399,30.617713079191976,30.71265183365208,26.9352161547164,29.84978442856311,32.56827636669809,30.303838351293674,28.805342389656698,31.444442377004922,28.33812623435105,29.53998871311631,27.590114891921466,28.949576445583208,28.21030406131649,23.159376448701824,23.905312244794832,24.362570141271345,22.007329627828128,18.615578102846882,22.361053344453634,21.366758261606677,16.371071496299283,16.206353018021915,20.20530417328215,18.63084117455491,14.84112270162499,12.220743072673564,14.28174176065199,12.569827590056978,16.60665830848512,13.840337863196023,14.403945237632989,15.679621252909028,13.038869872446682,10.159284314581923,8.321461073845327,6.994722597658575,10.962956721706242,11.512081790755524,13.933722727305884,14.945873627977608,17.660314616796853,21.988604716525373,24.353127064606653,26.910305157775642,22.82464766301801,23.41180567826137,27.551576286433146,25.504682156240733,23.550062494161622,26.90756327091783,30.59791953335953,31.38068947094254,32.92665226297412,34.951457667330935],[22.95408012713244,19.5604939944065,16.193799871018836,15.02487850541147,13.954218493563904,20.262404183504305,21.664485814680393,25.718808719985446,27.61527673336372,28.21273704676198,31.97814829153521,34.0425611462278,31.571217052360684,31.41427658266368,36.15349777949346,36.07928300233135,33.05772898093014,36.93150079418641,37.65928872608074,38.716243219699294,41.43898259247313,43.31930602350312,44.25393903680954,42.24569605321469,39.45634407824939,36.89482525865217,34.38125980904345,32.42363640346561,34.918785341114386,35.46012629476806,41.08758749580552,39.5670806868425,43.98980706166148,46.84308873010124,43.188642862760005,40.67685550340494,38.643944340714164,37.16442150058579,35.00668433822046,38.777507946240355,35.32524779859321,38.598549883061885,42.041089601339515,40.010111698444135,40.312839406678606,37.59572658175659,41.41579106757737,42.14668697028073,37.12439880457106,39.3249876622055,43.49015109850072,43.726297001699464,46.50178100681556,41.15109236094404,44.729838958862366,48.77190167130357,46.119920248293276,44.71947104031562,49.443042520613126,50.533294726378266,47.95336220141073,51.05714629057522,50.73802423448658,52.306652571900415,48.6995644694662,45.789677773253395,44.82585264554327,42.89914657171681,41.24839383123048,40.708584218363356,40.106247814762284,43.39590289868593,44.74872642191148,46.53946359367648,45.67076796410297,51.47468680205609,48.416522000851025,51.58739120756338,48.970405781303654,48.263187445420336,45.781318827683215,43.469593159178494,41.45460479278527,39.58451104156214,36.522046125361264,37.76882816962964,40.700208627215055,42.75836363208218,43.65743098085729,48.23856913996471,47.03177557093604,51.0426752415792,48.42076062626642,46.79690837820138,42.363285286385874,44.15877877492037,40.10481469794156,40.9868654170016,38.33000709426594,39.85944242820127,39.13397035447496,36.43653041179826,36.704375227783636,32.86088903377574,32.24143364397357,27.683375409949694,28.48960091719579,25.119268115606133,21.793353501944804,24.853879832477215,21.588198106340936,22.893522903552775,23.23736897616488,22.28108092460357,25.955603714812124,24.55304805286184,28.400176060894907,27.45165351549629,33.46643828641654,33.52623562288386,31.429165459375163,29.295083746732807,25.096607348225653,23.129202506654092,21.770283491035087,18.64930807428399,17.5983533785944,18.424429972865006,18.51763191640612,22.637770005189104,18.26016029474572,22.097469330243594,22.48089246923968,25.97522190367122,21.34534319865466,19.98602652990146,14.566573028353059,17.01758531512144,18.058005948677177,21.857320151462446,23.67529769592862,27.89390802291622,29.403475004768428,27.023106865831537,29.641923640091782,30.51356718053189,27.53377526241654,28.28878849711922,27.205788917187327,27.073940816852872,27.64753021538021,30.357013356423224,33.518351027490645,36.10125963515617,37.555955066995885,36.0532590249853,33.69975354470154,31.918628310206465,32.67685550582448,28.915150528362823,26.605194965236322,30.756174925914802,26.548650528017628,30.506928539754757,27.57762441496022,23.777569110832733,23.66931758084831,23.265641129286845,19.300854558631602,18.386754557045457,19.323703273036827,21.04689226005246,25.528147688245507,28.2361096844078,31.267144874144574,33.28221568103828,34.51825751178008,38.295446177371836,36.08086845652424,35.56243399112887,31.722868428066757,28.799008399736696,29.915405501194993,30.833630992898033,29.013710577611473,33.64065370052935,34.770336773501775,37.07924751583071,33.51602447677853,33.73416434802025,31.888128579517296,29.87697385227105,26.660283170701497,23.92899336783288,23.39642246582757,21.999804285266897,17.872644705473895,19.271182544073394,16.551729416556654,18.790067737758108,20.277662090736488,22.10939788634535,18.82508840763715,16.590667027375275,20.734090862233078,19.923650167107063,14.219130215465016,17.834244384537463,23.009292316216452,19.1618981130103,18.223795318587477,22.064608402852482,22.967542801507307,19.773524185829405,21.09804310872245,17.96384964197849,23.409488323008944,17.99785419735411,19.06517264067515,23.24872646222124,25.38710688723053,29.88737137917313,29.85813605193091,31.5465953606544,29.83136269204065,31.88116701677957,29.9327278326475,32.18692151381473,30.026475590936197,24.59366758138903,27.49593979343059,28.892015898392827,24.286346176404457,22.6456586658568,25.007025360108287,23.163244016592124,19.225907631903155,19.123230774054083,18.001585160799777,22.84450882793405,25.691947208443242,26.375646033028396,30.000233695310683,33.53804976479423,32.175360920880216,27.40403953223352,30.091119600443243,32.531213092690116,28.307734917915035,26.228399751552562,30.17148142681826,29.951819448291193,26.015136497681315,29.15109420751658,31.556112374854024,28.83953716953426,27.53304553238573,30.43975436540775,27.567730585351374,29.27208441919343,27.678515661006344,29.41860288474516,28.191961254515974,22.972285992486285,24.52356198790826,24.887692778664313,22.12161754083446,19.305341760893622,23.577168708567083,22.06835267643336,16.854468076011354,17.706160234350445,21.73628649092669,19.590939269534662,15.618575506010085,12.064693751379023,14.442753024555579,11.552423777485073,15.363690039908958,11.727697188727111,12.808640635290713,13.38330830079977,10.136913615782149,7.9540456096275705,7.027110295606488,6.92357487822041,11.230042019287104,11.300870555262897,14.669071703457195,14.786739349261103,16.765895275149948,21.623838434942297,23.839439153305076,26.278866320155668,21.77022935502218,22.056166058780818,26.113604159257587,23.91809326205993,21.455381702712327,24.929352081260475,28.659099261089697,29.46227914814264,31.08907581701184,33.187920633617544],[24.523132248762437,21.393667532527505,18.756626676206494,16.389638988980533,16.36733619413297,22.133692605988863,23.359718373722455,27.742213622122453,28.90573293417178,29.09824005440842,32.76329317346094,35.33015360051173,32.716425271267845,31.865986494353066,36.77793174807277,37.03835160284832,33.72072709358723,37.38239849611633,37.61186745260778,39.14109773766325,41.53830135690094,43.64401718028641,44.17584283584376,41.920010727688506,39.499854338316744,36.82637574013309,34.77453010521751,32.90512718656922,35.74066857996033,36.728449892735085,41.92343386354192,41.04838685784878,45.435536731252704,48.130316936074216,44.588430331751404,41.77959203775954,40.25924705314399,38.3540507270407,36.20507996663886,40.29883877212988,36.30057528920071,39.2459860021094,42.81912540840645,40.67121499613557,40.55731420839574,37.82446461908262,41.63008632391839,42.73302863124407,37.97021584023486,40.14123692197205,44.513610371773105,44.997268476321906,47.80564107439355,42.51068451834128,46.41750361606385,50.13949208223066,47.12449035389081,45.976723230745904,50.77366767444075,51.46370226358375,48.672548618441034,51.80498935382867,51.53461793820017,52.684237093903405,49.07130550831147,46.3952136771573,44.92010118954421,43.212203809202926,41.0601960791935,40.67062357656075,39.68956109066408,42.73150253344002,44.52946263712122,46.32417896808238,45.967367458836016,51.87900970689885,49.08735045269015,52.52935242522895,50.103853666294235,49.510395430457095,47.42660971063131,45.20498085072267,43.634208499613976,41.8730895398633,38.496409834006215,39.5872670518426,42.068843840693695,44.44391944665482,44.74804142923029,49.498401090064526,47.9132828513552,51.71093981155745,49.12434595198669,47.73636110992793,43.2600521125703,44.88886682942049,40.76410836732586,42.28825489867569,39.871874760076835,41.878615849536736,41.15870147915049,39.04448578190462,39.133183750782024,35.77891187788051,35.4048765980803,30.930223577608402,32.206034084199516,28.98431910641523,25.69153029841583,28.455626849167,24.851590575179838,25.571439064912674,25.308145389783462,23.896954703965406,26.88850298762558,25.01985709231586,28.66692199242084,27.15538600379765,33.0009568245109,33.51479788410468,31.10490629735424,29.244087435777363,24.7493242867772,23.328201627389458,22.551221259642297,20.022970662016657,20.076021154492224,21.087123775151078,21.82431813599573,25.973422151285103,21.918819436409493,25.968365878028425,25.835202098479456,29.33786578067915,24.248348509987974,22.47440007497369,17.238857202785105,18.530760864435955,18.577330441815374,22.566817264941765,23.315051724933646,27.731700020046468,29.43520057286246,27.449672241068438,30.4456239804256,31.571290827216316,28.59955296799377,29.784773904114644,29.23050152606012,29.00678294912299,30.19679118550687,32.55164539476333,36.14638584198347,38.41726013583112,39.665979254169436,38.34729320971027,35.75362478865718,34.41913932251921,34.74328337731501,31.509755263063187,28.84802186122741,32.49118141825939,27.913693503845117,32.09061243522457,29.166214811287922,24.79215740708628,25.426925646815743,24.592660067163862,21.054049424754194,19.73051876871792,21.31575652182427,22.713429858860028,27.605355986404756,30.523175015148738,33.53827312608891,35.858012495472224,36.68114124656795,40.83799695109626,38.413532148729445,38.25569065200528,34.16937041042226,31.714410354915746,32.91567164797158,33.703513854861285,31.533852006319904,35.69808683721475,36.41326347529839,38.66759871117747,34.59140053589421,35.29184033713949,33.56673654948226,31.87671482135369,28.988261237959296,26.63247413871053,26.55264425766844,25.548602096472987,21.60590766294338,23.460158712557842,21.030389550848867,23.147813311032877,24.888760841664013,26.525523433155858,23.056217570464423,21.08863644502584,25.179353398312855,23.99926302899991,18.198002143763322,21.96070201431742,26.995485114569863,22.574600382959343,21.570773684919878,25.446185610312867,26.013946622901166,22.311590086971474,23.73829729627791,20.85064558611618,26.56346248702919,21.221588990393407,22.85732277120309,27.02037354993663,29.383136649550764,33.72045196661877,33.97282358848757,35.90446978461298,34.34982961066743,36.498835039414345,34.605137296991984,36.842621622437555,34.59926858762702,29.240597489452842,32.14098175865454,33.394262951098675,28.763079064485726,27.19467993424442,29.372397002614356,27.336897085524956,23.553769120921242,23.361758079306366,22.60075404091661,27.328122160994624,30.277528133587474,31.023198429050083,34.576912994156615,38.113118649430305,36.60094507851689,31.88051990205095,34.55931924385189,36.84133429693744,32.48559422740973,30.48035989188726,34.252963218708565,33.792385715701556,29.83495939948144,33.15114043543803,35.31374848415765,32.23343847003063,31.14205119615737,34.216791269314626,31.510196346712192,33.49984050248037,32.08816645554444,33.92928400098556,32.46594884204283,27.262459574687394,29.077430662654884,29.277831494594885,26.376578197606428,23.833266175309646,28.014393226609137,26.13728598433386,21.051625848667335,22.117522209115027,25.805837914570198,23.272155052584477,19.377715834217867,15.810220995466862,17.306810642932774,13.88836584805092,18.035268671681756,14.301797257953513,16.292741353956462,16.3066875963017,12.294096917812308,11.233247736522262,10.539711843403891,11.338589334297694,15.772497444221694,15.472717097947987,18.910803340944693,18.242271607868602,20.304518137995192,25.352096270627136,27.675365315140468,29.727778934587377,24.90871016057486,25.34882788109776,29.177519889301383,26.43993503209791,23.88370617312838,27.655542828273905,31.243448166937416,31.891752177202424,33.42960922093434,35.605929604037534],[20.97878905739508,17.950422835211143,15.527120700181067,11.929035120887688,12.417900345878834,17.448709483485583,18.475672620478598,23.01186839003732,23.690405183977283,23.83169449389009,27.42134085920536,30.145210482796184,27.739374021513612,26.601340406054195,31.62216849281478,32.121173560783575,28.975343965558032,32.79798231650824,33.34984515360301,35.166527518685,37.76147063601215,40.27798797560121,40.8433315236789,38.862175498034134,36.38142769286251,33.27048024339817,31.192987365332712,28.860763607024268,31.44305871385308,32.29225561833597,37.13180487164878,36.43624216036542,40.70417476209948,43.5434446852485,40.22460500945419,37.5066177034807,36.173344269198786,34.63515830704672,32.847630294087054,37.54117689831198,33.55318411906981,36.0025358035109,39.85567107088465,38.14260203240323,38.29541192878711,36.003057310875135,40.05013851752619,40.737217192701685,36.110566659798245,38.95964717058703,43.02698290932828,43.53904701892599,46.02640982520439,40.34473565534186,44.20523781255577,47.87833658603082,44.719026994486086,43.190658531555265,47.95343462109642,48.87619228227102,45.61585187568295,48.35968575437931,47.75003821964696,49.020893460140705,45.601294917234945,42.695920089015566,40.857485478404435,38.85372460383333,36.542973126585906,35.80681692236645,34.84116005320679,37.81760333610339,39.635270591690215,41.74375392159953,41.326197509135234,47.37726986601687,44.899319575940495,48.26251967878934,46.11139981713714,45.90630370741434,43.86904951465054,42.08567696586728,40.41079103287089,39.16173621105831,35.77697169678359,36.26341824955525,38.55022734304809,40.65213490234666,40.73744271690557,45.2128608575239,43.40098821126965,47.02808622344606,44.26739188999094,42.79766159589852,38.23774774387042,39.666814777358866,35.47803111309142,37.27533373187183,34.899725394691366,37.0736424222183,36.62458808084469,34.89760563545775,35.18655421473033,32.217200937475226,32.61266955731459,28.059352948208378,29.93254263770166,27.265179618256912,23.69426208310597,25.756027849908616,21.611296914494766,21.977893456043965,20.92187611857951,19.62618487755891,22.147040231822984,20.48001681836607,24.24816847290622,23.101040674871467,28.85300486463132,28.939543427174225,26.342268975087176,24.248953404652628,19.886298694346024,18.32155817012905,17.434932665793095,15.664276542436012,16.080208390703493,17.735819134799044,19.274382197148373,23.7686645545795,20.71083231028324,25.191821439439128,25.118758739033492,27.84514846148045,22.753974795378056,20.044617834021242,15.488402437989832,15.777789251089091,15.25008089559908,19.303686859677878,20.375768879974743,25.131634624563375,26.129039557715195,23.929091091416083,27.16352112132857,27.732205458336704,24.626298783139635,25.540097681115384,25.14385014760247,24.463579699657203,26.003613421157453,27.898725450970993,31.8082228712748,33.78643261129426,34.86057022584539,33.75870985387591,31.110019682314054,30.211022968419066,30.426090668596327,27.81815241446818,25.503989925391537,28.918469205203056,24.755839501337785,29.243445539263565,27.169848628096453,23.156052042348218,24.464022621072235,24.452486005711826,21.094440508952893,18.78382433224049,20.094789929738184,20.514949880784208,25.385891398919615,27.954576247448287,30.56137318522934,32.715583669724886,32.957541780601616,37.507881097246404,35.42836385321302,35.591820617377145,31.923498094500033,29.249563880893124,31.352448109822458,32.624974316815916,30.16539605688138,34.07670566142357,34.2521356045363,37.19876384471607,33.29581128534811,34.47604175114749,33.28990524337506,31.161118413381136,28.858938292905414,26.516247117981592,26.685662580950765,26.21476404674968,21.819877340800932,23.741391344215113,21.29009743885493,22.29176754993248,24.657665005090134,25.33002175367329,21.462607055393132,20.540034293690777,24.499925637435236,22.30659672146976,16.95271998884545,21.394681496000125,25.676328794881666,20.565272015210898,20.28708479283837,24.264453911337977,23.841737849020674,20.172239041184117,22.660895332651467,20.314801953248057,26.247037006662875,22.38878822523583,23.439189181700826,27.49852945769253,30.592659612760563,34.73241023529861,35.40789091699551,36.82306813853204,35.23329238247264,37.2343854689906,34.87327488440032,37.71665420037824,35.939892466885425,30.170645249501803,32.96431432511832,35.072732211841796,30.606441549175525,28.53534881735787,30.935174056686805,29.815241541516922,25.80016814975568,24.82817593427666,23.50796758231789,27.320561866179062,30.491422216970676,30.87688601690862,33.93846634577757,37.320525539202,35.23868898311821,30.775599006063562,33.49459266644073,35.15169992195733,30.491777495754558,28.927899024336895,32.39490124256606,31.459417251357436,27.748370833932015,31.666610245536916,33.38770909060212,29.877680729074303,29.60636973781126,33.05921810292912,30.762786476101297,32.94679075399935,31.45087197951435,33.958085518723195,32.62971946454764,27.08276564380357,29.393621842556346,30.226058623397158,27.203992105355056,24.68576287017129,29.653519235602936,28.20030956725387,22.80169502186215,24.1149104328839,28.478276727031936,26.23181020270403,22.202255791369243,18.036110620498356,20.760762314603635,16.96350697662791,20.11283372257418,15.318136801198271,16.401903488107887,14.771856143457615,11.608485925672484,11.35452480036579,12.490936474031304,12.807559222487491,16.383556659508336,14.256334995214715,17.803967648147246,15.64667917111536,17.535201531227997,22.630044458496204,25.128462910538893,26.46245128589154,21.359165649946007,22.253608660944373,25.650255056862065,22.211396144682677,19.98759022678641,24.223370317008147,27.431552750699183,27.85881977250251,29.2697755612736,31.58962016786364],[20.07743326119491,17.560857152257082,16.40911442844804,12.438070489035269,14.861127439943798,18.647715196620535,20.174096892201227,24.75151598067029,24.816322242112143,25.235612052290108,28.58243522103287,31.49623655730391,29.653292924612536,27.961889500691733,33.13300064788739,34.06010998285226,31.11740360860019,34.966469472618705,35.543233101713874,37.80135905711463,40.33151839864965,43.18476740564234,43.54296552516049,41.57324185950678,39.313273583462944,35.94309850436118,34.12769998142248,31.572834918740444,34.03795551961839,34.84975009539211,39.14658570501194,38.75927705660476,42.83261671450202,45.823982355143805,42.78477536514304,40.1233118917784,39.05257525134475,37.731632850884196,36.1874073954798,41.215711588958804,37.10909710887441,39.170692211656736,43.17592386935199,41.61543700898974,41.66990218808405,39.53091317561813,43.59859507710489,44.34028200535022,39.90174095819606,42.88050227618489,46.935179892075105,47.53294636334895,49.93722760032892,44.183197721072936,48.093962027484885,51.64477783652466,48.32554306783205,46.73634479201458,51.478392486649554,52.35840455709962,48.82021043792425,51.348500768828416,50.55046833087199,51.70305200153656,48.42497135120554,45.51439358445752,43.18849119477786,41.085325323299315,38.37446776496867,37.37458161550828,36.18734526878408,38.835721819161506,40.99835946117225,43.43220444375069,43.253924078744795,49.432453151604584,47.37374376276571,50.74285457113443,48.88936254259166,48.98984697800743,47.08785603604102,45.59210303972025,43.91465591713493,42.95651948952677,39.566381744444136,39.712910974600234,41.77994233734181,43.737119515032994,43.53503047019539,47.78397116422209,45.67276994439576,49.01754129432438,46.089306847581604,44.582834566163186,39.93496608138203,40.97419344092276,36.687037535439416,38.99577013921514,36.63780001336364,38.79763852610325,38.93218646927667,37.42427469656438,38.10247706620038,35.30357873634999,36.24139926884752,31.59127394409812,33.551178468019295,31.10877316318712,27.294093013955827,29.087630270176923,24.663676544579204,25.22390142603712,23.532875993572198,22.58414878791417,24.51141278308908,22.992148648683578,26.671834359888212,25.533420676613392,30.949718273043526,30.95754892164928,28.029716015608887,25.887137277550845,21.658851360361087,20.283300382347093,19.365605447227846,18.66795939456772,18.866479243097814,21.245463652930383,23.009586572616136,27.70083843150464,24.89501920808405,29.385848726022004,29.51333704030089,32.04945019136698,27.070839014455952,24.124047666673604,19.81465839472264,19.79772570682482,18.818341190612756,22.81143147911769,23.489609275714542,28.36163916785737,29.131206568046228,27.059536714685578,30.502042253745866,30.812304064543067,27.675791188651328,28.408644979434868,28.12252960793432,26.885301397995455,28.477816261574816,29.69679962553442,33.69890797426842,34.96374413085226,36.2699882731856,35.681970919321245,33.212537072682466,32.73811119371623,33.07033999639988,30.978166894674104,29.057341541441684,32.28131930009831,28.36375380829648,32.97504997537923,31.23895650475198,27.218837174458812,28.81643014085034,28.788729754418227,25.547423976135697,23.11633621166855,24.483044775104723,24.633213233527705,29.48033223605432,31.897362302481373,34.28144735889432,36.29286236441758,36.165978594791525,40.92990505012312,39.10511756701742,39.41386924732196,35.967793458067334,33.169079289759544,35.59947584105642,37.00026731489463,34.49082645054481,38.27459639420371,38.21231137499949,41.31831676080533,37.33458912209492,38.73464863631362,37.64794748464722,35.54840343696531,33.35312962767705,31.034444141910075,31.189982657557252,30.642576854949002,26.186602604662923,27.881435747276804,25.113329876245093,25.95555497035024,27.934115367251334,28.36810712102939,24.564914819200016,23.40440102080929,27.002289949841632,24.521437353520398,19.065565517971464,23.23340969135589,27.275236026946903,21.684963248192616,21.094425036320025,24.892707511640964,24.252135231497682,20.08060507707726,22.397981360990507,20.460383485253068,26.45158827318102,23.02193821117095,24.635491350267365,28.53238830392362,32.04469012220715,35.82778428433537,37.088500239774056,38.79576543665511,37.608177314900075,39.912039748926134,37.815052971971774,40.84519926767271,38.79317544343612,33.202791808879645,36.32529393775698,38.386708582707385,33.820314710341734,32.041352886396524,34.71272714884927,33.28705084743249,29.146873178758202,28.80018480859149,27.06288979362846,31.11966908254475,34.12528492976607,34.081739556934956,37.18853538840841,40.24027435474652,38.29640808021921,33.866814978802005,36.05966195311863,37.65486954100002,33.080667919379664,31.219231341126743,34.27534722473882,33.120360251734574,29.310556061423362,33.15844418967969,34.539798206940034,30.675005044227973,30.46104803288498,34.00838959971739,31.97765942328286,34.617784801838404,33.602464970473285,36.21917708123507,34.35808670244998,28.968434037408624,31.848629375349265,32.33971787464842,29.06411845641157,27.20331043133123,32.19256950654268,30.15580004435059,24.917046567474355,26.917164091298638,30.93990237155449,28.16521808426678,24.217876235225766,19.813188858249458,22.10938786356537,17.755286903907535,20.554061907326616,15.700090872915998,17.555538906749653,15.553515300718955,11.91852704487996,12.902545210583801,14.317771989087724,15.631768596749033,19.212212198564263,17.50297645741768,21.420621054242282,19.09083213405329,20.0469161882532,25.30310064441166,27.440989104334804,28.73209944253352,23.47258351383025,23.82505175414596,26.967718536995616,23.625081036829,20.752576981459637,24.8013158677338,27.95490325253078,28.41305834116406,29.896018878939895,32.18499175201165],[17.59507915223935,15.08137818382113,13.804401032919252,8.858661498864178,11.376120188361737,14.322016572540347,15.550788840895445,20.143748689263294,19.960934642798193,20.379749733708962,23.70710170976755,26.611472780148624,24.91307665688895,23.224394079806988,28.408783448598797,29.390498154740317,26.67787435363667,30.693779694975138,31.69365569352064,33.96881875035642,36.74510051410906,39.79217280515454,40.326215585538684,38.674656699158774,36.244886570190076,32.62784539495854,30.643815279424903,27.734050386242963,29.862306028772554,30.431431125875434,34.581132784328986,34.13929868528417,38.130482089350906,41.24167144511501,38.331997571263784,35.831992993508436,34.76408204455469,33.842411941134166,32.587710134247985,37.90935588591806,34.02535871666388,35.793299970146265,39.92005064693339,38.73766031709674,39.13434013033304,37.354066182198245,41.55469622068883,41.85185055916677,37.48316747250558,40.932392203114816,44.651458889420546,45.19807043534579,47.328374023968955,41.33021158242077,45.07588223362736,48.650222697909,45.363414581803774,43.433109486728135,48.089593808624926,49.254642176655736,45.470456734876606,47.69388581785055,46.64318509065801,48.02539177160361,44.90309635305129,41.76252731974976,39.37848904927088,36.99227703255908,34.380637364398225,33.08080912175195,32.071810592072104,34.79256638346168,36.75557944916536,39.38865141436952,38.963810497937544,45.17969446293389,43.24460093735254,46.4571605818448,44.738758953755365,45.07802395420451,43.109516881894436,41.917208382470236,40.07553430987174,39.47749759851012,36.195691932218885,35.92693153882727,37.947497192004185,39.604775713447204,39.413085379352566,43.40019195803887,41.258440740313034,44.55420545890178,41.51020017099618,39.884318283982324,35.20436087781216,36.183615324613335,31.880825878997534,34.17297041455381,31.802454836129364,34.0118291035866,34.26418772194361,32.960749772686455,33.76477516873158,31.22170910679537,32.66524344784559,28.051176477102683,30.388902445728718,28.409062569906656,24.534281769072305,25.750934941974723,21.091266633659743,21.366162976874296,19.162574474155996,18.42327434707979,20.06445893673958,18.89958479817616,22.68023245044347,22.079439110396464,27.403127520350434,26.894306253347935,23.973107033577392,21.54870976826005,17.605743222005298,15.907519304436377,14.707714180655566,14.648889599705706,14.990858943315883,17.765261619525774,20.024854742981965,24.766494455508255,22.809333354889727,27.426461652547253,27.62734672755786,29.507429501518228,24.749330353848155,21.274180811943936,17.734792636638364,17.13108603628663,15.986849388352276,19.760134423722292,21.030295080480737,25.9501262263498,26.0762762259016,23.74276540869804,27.175666355139015,26.96207917578264,23.77518319393075,24.15631683225649,23.88832388405277,22.34086359351315,24.114522532998436,25.065767258222486,29.23519463123487,30.439102405217824,31.549566603708243,31.016126626237778,28.52297230572536,28.29241643799269,28.582744746252665,26.904325366783986,25.347521408026658,28.43258631024207,25.02360382540564,29.713319298972095,28.66733345395801,25.186472237367084,27.04556835003017,27.71747131896477,24.614870641008384,21.674851446362144,22.63661792453664,22.107261779505798,26.671894888358576,28.711305285100142,30.735255049159413,32.53154586606172,32.051274203623215,36.976441125729956,35.4630707795774,35.93806884954133,32.9077613290422,29.923593384499636,32.962560835636154,34.71664354119611,32.106591592180195,35.724744979731376,35.361732906900706,38.95130510623914,35.30467168155596,36.89870367166105,36.19801342421117,33.73759949839951,31.950298312221065,29.632577189416416,29.9006609943215,29.72159071670236,25.07766274771385,26.75628204616753,24.131018341126833,24.125704095508308,26.595676858400143,26.316270469740903,22.333521296568062,22.131184284892566,25.575517223211754,22.448992604071908,17.726363659494485,22.292012683373468,25.62139333218256,19.8371277108937,20.04627530897717,23.829128797310762,22.411322066442736,18.66653457339776,21.925503231976332,20.381968969522195,26.265135294918217,23.98417154965492,24.815079539146513,28.56496377151128,32.38703103514891,36.09401289509194,37.41411176646651,38.55894101121397,37.20272567284565,39.237179181155476,36.71465801436468,40.110380528602676,38.55055225993724,32.683941715858715,35.55522181119879,38.25598564652293,33.92489792398902,31.71547148945259,34.428467628823775,33.801073799456674,29.60897952685166,28.544149224819872,26.543396811776894,29.724524316283173,32.856817810922486,32.64838262826536,35.285693622549964,38.255279308653385,35.84841136837577,31.71122425122944,34.04545111262976,35.11777560253416,30.361064114127043,29.00636059895637,31.871085413183387,30.412488505856654,26.943397875712545,31.238346314252276,32.3431296715673,28.323854628421618,28.81528116266675,32.56718297453111,30.821573927707185,33.3793693290922,32.13494393598751,35.19712346091414,33.69187681141645,28.09962962954915,31.083089250400214,32.191910956272274,29.00831580143313,26.970460081234787,32.41706822358582,30.98506426428512,25.59327384589922,27.443564540296602,32.000071172953334,29.715695322835405,25.731195320419673,21.18036682398115,24.429772614699253,20.263582585107912,22.412998977144408,17.111812343467477,17.780854638862397,14.715270491325944,12.482427117433053,13.493786026697745,15.854438959619564,16.37421725712759,19.08298108158328,16.042427003412225,19.65434824173788,16.341424116364973,17.208769467609045,22.194389355133225,24.494878558207677,25.149148534357696,19.843221507543277,20.73853436941792,23.470546031708622,19.543171857233393,17.26041831971544,21.701671989700753,24.457300767269473,24.69828091318012,26.045261381525343,28.43643231991268],[23.847091863139013,21.200173059152686,19.1320854343173,14.276259936581159,14.544294636985047,18.24496802405189,18.037826654013873,22.566652423130108,22.157236444133368,21.142612384525965,24.447630989469744,27.82334854657277,24.86515287633384,22.891159899747723,27.859241448295435,28.66642854906927,25.09209724754658,28.459666635790136,28.393812002222976,30.750111487245217,32.96809665895708,35.81071531805112,35.96155999983605,33.885322391499734,31.78779414519847,28.45430356310837,26.943680906636484,24.68724324212904,27.61365589148728,29.105341099444214,33.26894240456262,33.51994745083348,37.67535099264433,40.12304301565224,36.98224526603825,33.88700357418949,33.33385949216577,31.25082129575825,29.620484014278034,34.791750736161724,30.255267160453595,32.03436106051842,36.057214825003875,34.45682832346085,34.31117509020052,32.3373232008695,36.424581564353545,37.20811574681827,33.06436526385271,36.24029956463349,40.225687838998255,41.03277004686313,43.3043859228939,37.59933265407509,41.747769921087766,44.93770280273724,41.3439565524815,39.968747396819175,44.718094603657065,45.25957272705511,41.61233178255094,44.21855311976151,43.59030031358985,44.40506479514799,41.07123139363836,38.403583251916665,35.955214313563395,34.20248699345432,31.382142724906252,30.88880608947915,29.5390035120644,32.296430938386074,34.48960591876002,36.50073529073351,36.64509543735031,42.72595106833198,40.57928730721243,44.22912610881967,42.35954188353442,42.35755403757486,40.89933296038194,39.375343824723295,38.35623091197031,37.430918693961324,33.70412556985232,33.78263412282389,35.333668466681154,37.78587895312263,37.02643423578696,41.65179391191572,39.38955382040809,42.72904291817144,40.11691780461255,39.05012323331767,34.5856570500601,35.93305341967121,31.8268454468167,34.34088858516609,32.50045010752676,35.53329729062714,34.689296043326536,34.06385856714643,33.7835639800991,31.85210208451666,32.5866527677444,28.47933439094174,31.219797357323294,29.04139807343269,25.85540126357312,27.188111279677027,22.91946572557329,21.9045295438871,20.102490217644146,17.89743656418804,19.084703802978357,16.731980624361732,19.95880369837981,18.196430084174732,23.558210275732492,24.129434259727304,21.269604181447516,19.66895350566983,15.067151198381962,14.498203009190124,14.928299119293763,14.123771561053964,16.899657489465806,18.143523374132705,20.642663572339885,24.689103531412965,22.697297049820087,27.32760212456701,26.458425377585638,28.690658455887714,23.26265545594787,19.87295449890232,16.519759999186856,14.678452157924001,12.51673639677056,16.300878171988987,16.08107138752166,20.975165511514756,21.75244218629794,20.056193892946286,23.69119535178766,24.41841254879016,21.4839990598459,23.02941609763575,23.58245012111503,23.070462340907962,25.710795920796397,27.256083403760613,31.7394891884254,33.65736737954778,33.93058114851998,32.79466102602188,29.660105271471167,29.43306464602319,28.703014418592147,27.065495951663696,24.228629855521067,26.57855644894883,22.22964497138337,26.864204746912602,25.311564932340833,21.10464478958681,23.629259086609217,23.722786028868356,21.260937247858998,18.059339820328706,19.79860169584987,19.204525173417377,24.185677404427334,26.749722585894315,29.07060386002302,31.58857994708191,31.10518244851898,36.11901850409276,33.81558717758856,34.615749859812105,30.85757776265283,28.98892816915202,31.415692689149964,32.67525568686376,29.694623924370063,32.68160097280868,32.03949243944564,35.20498357196685,30.965000508643044,32.961659593628355,32.344968673728744,30.373657510197116,28.978893616423058,27.239562251795878,28.137757065668765,28.568265050024493,24.425578972848463,26.991678769575856,25.285040542887014,25.696964627896495,28.933301673711483,29.07446271120107,24.980400009405958,25.19607802702886,29.154864944351758,26.43522575703654,21.834916025717966,26.616551024830468,30.295641163767076,24.992037443253512,25.373791436908167,29.304573478024878,28.111461930430174,24.66313713768851,27.856943521079675,25.91959904460924,31.824446022066912,28.65286900649634,29.39633475724627,33.36951077888497,36.62002603291766,40.71472343566691,41.38193441204202,42.45040219925064,40.64008629686026,42.322284407056024,39.51765809579309,42.46307164343833,41.183087256206534,35.17617727715192,37.51470891248791,39.98037159589581,35.74094480924336,33.216670343211874,35.22605521112757,34.74127124727466,30.944494082401835,28.889160320760794,28.108239632724718,30.923184961688527,34.39886640510155,35.07496714492078,37.61692813379301,41.145347069105966,38.42473889336773,34.3220642495515,37.50039881124874,38.56180437298183,33.642330921628336,32.83931780858281,36.162016067109036,34.87652467774812,31.609692774300655,36.00442395674162,37.40464805434533,33.671398084915445,34.16803043608757,37.82369455034691,35.80820934036677,37.91359596709448,36.14413535849076,38.984282296867335,38.03490420008038,32.334176346016484,34.56117597442084,35.88487753879129,32.98263858054793,30.18615639784541,35.32666141959001,34.32485151023466,28.859815370153566,29.78873250179653,34.426695193997155,32.496379488320045,28.463460862131313,24.379853765301114,27.200998566496747,23.471930403316783,26.59039357467559,21.646668865957075,22.36529800676603,19.988316172343705,17.499166439430432,17.485801415943463,18.888350667348142,18.71172913425045,21.882696944700466,18.582425987147936,21.399788593215114,18.086487289566747,20.653790518374887,25.20226347083114,28.11792540770023,28.41315502894231,23.336401056060584,25.224495333344283,27.957358000205556,23.448734165853924,22.31298862585525,27.01910542911725,29.536825232135087,29.49948980469835,30.497374942724992,32.90792742671375],[24.983541458455456,22.858834809879827,21.73051879477897,16.426362707154606,17.908284620522437,20.34984854554338,20.173234496389167,24.61252382146889,23.319323320640283,22.134604286703663,25.01037240331887,28.75915300452589,26.149617628981005,23.36420001518858,28.340190269308003,29.65779433492441,26.174278162942432,29.290286892111734,28.964467334363334,31.919617569336786,33.862632370659654,37.09252984527275,36.86630370613709,34.776078325503796,33.098386612423184,29.516390444877835,28.535371105677903,26.18299658509649,29.068345538769176,30.748827444896445,34.07922014826158,34.98617701930928,38.87435505465587,41.26697821325243,38.4778890220856,35.32393941482089,35.31105634052944,33.23923022991005,31.904254002212127,37.42442249126315,32.66528670021776,33.82374893547462,37.96868690006877,36.55090657764828,36.181217072493695,34.47683805125407,38.51205175149805,39.40208315926646,35.67028295957401,38.97785699664651,42.89441767367055,43.86202643016934,45.983618535187546,40.29890794432108,44.54734777159609,47.4193450081703,43.56657374236111,42.23461700702426,46.9080412221121,47.24498448080352,43.25946182015055,45.60576710828528,44.8240303222304,45.319360802247886,42.18092385021539,39.65633842891401,36.54069525093888,34.84530049953316,31.456560473585355,30.84168392465259,29.106395679807523,31.38646168377505,34.08551493683879,36.33049268715652,36.965077241864705,43.10561483453088,41.501133885481615,45.24418318075255,43.767945744558205,44.103930750170875,43.0048787094882,41.82933934536352,41.061964769712404,40.48621548936178,36.687635570011636,36.354289399339386,37.426853899713045,39.862064293813326,38.5348777192532,42.97119667119839,40.2844864597474,43.2131685502816,40.543403284050044,39.631426296014716,35.18041876758281,36.122197460441924,32.01099829728473,35.259637283996476,33.67342004107834,36.98689301964071,36.497573775401726,36.446626044417364,36.29536642835624,34.856716409570744,36.10005911042001,32.08534342970584,35.089589263569806,33.19749188094017,29.937301863382896,30.913105055670986,26.44787928141286,25.26407261776852,22.80680642103099,20.70924551188057,20.896084425853893,18.547682644467294,21.312266954856035,19.368631695787276,23.99418440796687,24.71023451331118,21.483062251256047,20.128094344974457,15.7870521857933,15.886586841154205,16.742791526846045,17.209244751521567,20.217583432497932,21.89053949127481,24.694392153324653,28.746549624854588,27.143928812535922,31.796154449609713,30.895310119263176,32.883329199608696,27.508972603626766,23.87596461440079,20.96584583095797,18.63468570418787,15.906751853512432,19.287376141951555,18.257995801628297,23.028871796717358,23.512757513506212,22.220102887687975,26.039083879947256,26.58701932482074,23.787292782115628,25.34155241740924,26.27802518944482,25.3673703303099,28.33638170300756,29.200102008802165,33.89030374234451,35.18894551030041,35.3618254000917,34.6543286018234,31.540136171901523,31.893696281704717,30.959510270887606,30.078892274182277,27.456034527095298,29.268920363549046,25.18034474978659,29.827044454115605,28.725515811574542,24.55508491738907,27.547961745050607,27.606797060060718,25.491102836092782,22.123623399146982,23.970184112555764,22.98889575955333,27.84460157970475,30.24351053374081,32.26763340103801,34.749018030481345,33.74432156427959,39.016004538772826,36.86735485963185,37.97191003997692,34.397789032463194,32.694883200399254,35.41318621263941,36.73860468300245,33.61436672880319,36.194131768479664,35.119851905021925,38.40943645219509,34.04626234866059,36.43900599981332,36.06044573756303,34.21183864343352,33.141560039730415,31.591152453802817,32.63884241976963,33.198371020481495,29.070796485769122,31.619754703538618,29.82667979729297,30.055047403991626,33.21766797467727,33.10501986435221,28.991536858277332,29.25364440732556,33.0195572884625,29.99265955491316,25.436193282568155,30.152897426849634,33.57107511550222,27.9047198717106,28.2394726134091,32.046182600707525,30.515399174842038,26.822292428436466,30.07287118984438,28.494715545960076,34.42342403604009,31.655143335392967,32.69358906096535,36.567626746107,40.12876543511579,44.00641641031253,45.054632936449906,46.24342686253962,44.639512368654266,46.46302815180742,43.719948533628596,46.823028857200896,45.456108331915466,39.48164191499397,41.956087964591596,44.467260598033825,40.17467495339029,37.735790145059674,39.843883606702846,39.26296295705183,35.402110942206654,33.538765518079224,32.60103465705241,35.425564266369676,38.87143500109223,39.33564364969854,41.80458521675499,45.15129705853676,42.36478679078352,38.363593449639076,41.300525938591406,42.170399702778305,37.24260999161708,36.41895415533944,39.425791757976,37.89177479097868,34.675936618075454,39.1476275669896,40.225194142746226,36.18602154103039,36.93378581470337,40.70787758569772,38.94342063209908,41.34113737214881,39.822627590600966,42.8226148632426,41.602681873683885,35.944149383743294,38.5306984247353,39.74150883730434,36.68203068286728,34.218192831327805,39.441776005393706,38.142944583793586,32.712272543153446,33.99547504397746,38.506034036986385,36.2806981936614,32.25352766732081,28.004362093843394,30.58375090817321,26.518164490230284,29.490225574699075,24.48020534674929,25.58454111536844,22.858929048146305,20.221286225210303,20.85776497131483,22.434107963471032,22.744589740029923,25.976629369594534,22.739205286291398,25.728665783939086,22.132723235037577,24.193589602948506,28.735277823528655,31.48748406128605,31.477529748337844,26.34284080839687,28.080522156448215,30.428777314050595,25.735694672134773,24.4638891932608,29.107903925077725,31.343860144988607,31.188278030329275,32.0913116708705,34.49761356493138],[28.80259122698637,26.66054122777191,25.40676490362755,20.18650934049474,21.2635726464723,23.97465099237773,23.49401086279761,27.850192712450152,26.45624420758298,24.7927397519526,27.520367362659663,31.43357582510602,28.41627632791511,25.449769553312816,30.19403334746028,31.494359963486122,27.683314401419917,30.316825494326295,29.289598867005953,32.36529754433731,33.84009723671698,36.9556169206949,36.373679842734845,33.984070626953496,32.691564493880534,29.343683785639115,28.82775704704879,26.94489316356646,30.21003887456241,32.36989938976561,35.5059152701584,36.85401396858654,40.72728646780561,42.75380221943824,39.938431117719475,36.50555570466758,36.84128181645247,34.17465180008847,32.67851504498487,38.02995203104351,32.92145253115407,33.98745046795851,38.006094314989326,36.33585678036726,35.52262102510554,33.7098977622103,37.5674298155973,38.8675325334692,35.40118363549612,38.412457006200384,42.49512042334429,43.64565821271712,45.85109554474931,40.45515134245985,44.92136352015328,47.48897145796178,43.44709191045158,42.5171435680513,47.18971700507644,47.077529284637656,43.18616007423503,45.72108877464794,45.19063110959456,45.24780417983389,42.04298851805753,39.895647125063036,36.637348940968586,35.38814582908692,31.788829084080152,31.646876000101017,29.634872347951625,31.730557225480847,34.681741445276685,36.57425630903309,37.6785874370285,43.67221498907007,42.0830574453466,46.059562358188295,44.58406682591683,44.76755160699437,44.02463592932339,42.705207000393386,42.42403703196667,41.69088618646012,37.696393532096074,37.54455256294184,38.288750336917154,41.13448111600935,39.43036293986793,44.13592167148914,41.33668163024828,44.1664933655628,41.751618400809605,41.17511641293033,36.89575666529545,37.915320260143005,33.960874044686044,37.40050016773336,36.10303543507514,39.741969526474776,38.85683337752268,39.124034019306166,38.539588739721204,37.38002591288974,38.3012366086274,34.531707891151214,37.61359816738251,35.60403328681513,32.6208901791087,33.705836879018015,29.42899188829166,27.875301077249915,25.62626674123725,23.055922200401184,22.980289271844164,20.17181538385953,22.42268260287149,19.800195494822667,24.056865127915653,25.49821568712165,22.336336793403603,21.576612697756374,17.18541415662238,17.975485705996338,19.47967526515566,19.69496640995973,23.324051718865103,24.478325322099217,27.242135929445777,30.979240922973233,29.258388291077896,33.82558490920266,32.49176386650117,34.70299471703455,29.109515613863387,25.682744181739928,22.826588622358223,20.185898799235083,17.143598167249994,20.2755513093933,18.161901762398884,22.630794916692594,23.56080455559025,22.833274338609176,26.656590878997093,27.73144849296552,25.175761009070435,27.26105553573403,28.55565728453943,28.052838029309214,31.282714540903935,32.30997398070992,37.065689784447656,38.53385689684071,38.4353907478393,37.564352076393725,34.2515535126642,34.63630127136793,33.30469402847038,32.47899133218502,29.357212962870452,30.75936727938205,26.289134754021944,30.76645499597058,29.37352325080019,24.841404258878924,28.103147331324543,27.684101344076335,25.988947971786693,22.71864933215763,24.972881739687462,24.090431628019925,29.025186211204883,31.659031324199677,33.80417816104656,36.5971351349639,35.59455660331559,40.84449392094778,38.33538021152172,39.586357331814526,35.678279520977476,34.549822210251726,36.88183315790253,37.89975270865007,34.65447127917878,36.85780408180053,35.647664258446646,38.57622019059197,33.862695901796,36.46397838250593,36.086935473707136,34.636056182347346,33.7365210907553,32.51954770643498,33.82628158614136,34.57301663594471,30.761897418756092,33.61907677696328,32.141315224089205,32.66471563117094,35.96303331323176,36.10770516116151,32.000818059673854,32.21190413598071,36.1483247238231,33.337337715311286,28.67344092267729,33.3840949173401,37.02810271575289,31.47783974179624,31.714620056887046,35.5733014030683,34.21243162978873,30.47729596036575,33.56325467886157,31.83002200273238,37.80033630251206,34.57254884396232,35.76723927978947,39.73113322702012,43.072081657288926,47.07193298991846,47.92279110784546,49.219231916746,47.51727788905525,49.2875305601125,46.54380081895591,49.414751067204925,48.03554236076885,42.090847025796336,44.43096748907401,46.70589626245585,42.40985285417736,39.972196219604285,41.79693963369024,41.08168197227211,37.411477292201155,35.3691921901584,34.93453856294547,37.79225206813955,41.31480882043365,42.10991519004957,44.62846361680793,48.16872988976103,45.36056768027498,41.32923781846486,44.50104065535999,45.45175637858909,40.50359675903025,39.75810733664266,42.923390881992056,41.474510491269804,38.25118092295831,42.68922114925479,43.883560882982344,39.91703636853467,40.55847946022309,44.28737388595811,42.40196461615474,44.706252448104706,43.08535379028496,45.93790559557153,44.802243407465305,39.14882105769859,41.50186211248587,42.64427765177177,39.646688939631126,37.005711740113924,42.019353225902634,40.71219251189277,35.31693617974514,36.34281085895018,40.72167010776834,38.49645239663496,34.492430396094306,30.4561283829684,32.628381179865144,28.698828477972675,32.0714560005236,27.29356953020981,28.649064744239652,26.254582030752008,23.32120578111413,23.730082670424576,24.867737916328124,25.14629134669156,28.65202939548315,25.61018487415795,28.413487688005873,25.014414192173852,27.51297090570756,31.982335793105623,34.87689075629979,34.84552847472872,29.78604286830945,31.693621887330263,34.09322848988915,29.321183849435048,28.230925452321827,32.89311470654138,35.119676265457045,34.91708690919848,35.72889654169574,38.126431025008344],[28.251698074787257,26.435308116083206,25.49196113936039,19.97537090539379,21.16290259824659,22.62039591942072,21.6572431963052,25.689021399488773,23.614719445927104,21.58323777440514,23.91667990844126,28.028406876994303,25.185177641145675,21.732701788253134,26.35557619250493,27.968083143839866,24.34638147988972,26.867527141422507,26.000215993755237,29.447392525471706,30.977440489126717,34.49299571675473,33.87705010785009,31.810201597115366,30.575806868754444,26.847181696783736,26.493241268073692,24.265751807069268,27.2303547522882,29.362133059231738,31.843496337671414,33.593353168499746,37.22063958343765,39.23982155799608,36.73300163597161,33.38399251272414,34.0754194502615,31.706488685583864,30.6380261155907,36.40172381104966,31.40579834158993,31.837347954958275,36.02013462630236,34.82173062814107,34.24221370845125,32.95231605023238,36.89369657071251,37.77923086419271,34.61448096611133,38.131648818835245,41.82022793456244,42.98401998152244,44.846707095613965,39.25851378556569,43.599321405260525,46.01462413447305,41.88650095075962,40.66251246471249,45.19953439034345,45.25003128027225,40.95399144870973,43.059637743240344,42.21768037572194,42.30787944741036,39.35745489796162,37.0774800703212,33.38976867624943,31.932416897253894,28.084613359976466,27.64792987866812,25.53943368914135,27.436115313544015,30.519298655383064,32.69964669532464,33.88504133721836,39.93691441925317,38.74935391044694,42.64885546664764,41.505577149539995,42.07598317968241,41.493600639317556,40.63219953472446,40.382234693838065,40.14232175117815,36.22298287273221,35.496559139802386,35.89895678490922,38.492286950883546,36.45401424761851,40.83802082130149,37.7779519960695,40.332808906528676,37.82123942608776,37.280741224782496,33.03439311903983,33.810404908076606,29.907037487529983,33.74686533541452,32.68329063519871,36.57778277413852,35.852084917645044,36.686067298212905,36.15847705591249,35.567242322974714,37.08040309381752,33.50979332104983,36.984523979723306,35.49652211965462,32.555002230406956,33.02248680507087,28.662451404498643,26.69270214065791,23.847288698011916,21.36151806911083,20.335397280013225,17.729475524390683,19.60939319447061,17.313473636134532,20.960409928363134,22.064930768187516,18.69544219228944,17.983384415502123,14.047587101238905,15.265408088914993,17.154507968687597,18.478673907375807,22.559461162023414,23.910992228147123,27.102050303315004,30.70080529379463,29.8454525225853,34.42275027624733,33.12399327302105,34.67335013179634,29.361982953757533,25.487567343734753,23.54753231556725,20.228302209431043,16.792062829585884,19.356689064423428,17.351405053651412,21.694942562468988,21.783315106849813,21.08029790031503,24.955373220043796,25.488610809646815,23.04670580148434,24.930325573876452,26.550756902718387,25.750440427990124,29.337158209954758,29.84112841315489,34.74456874158979,35.90938275962527,35.47097112053843,34.80364900843616,31.465028179718846,32.36340304877528,30.770662673540986,30.736760883241377,27.964922406477125,28.838414515626692,24.977184037631922,29.44926601325778,28.92881730646171,24.98566006326735,28.646877980157424,28.85679876469958,27.432657719148548,23.729854913708394,25.633715620380823,24.001843335795403,28.534257644411646,30.73427810696445,32.39259859561079,34.993657684105614,33.42005558238652,38.880805298633206,36.6982339106596,38.25772454917986,34.81725676880895,33.701109819045435,36.61512082669392,37.936280829095715,34.571224790805125,36.3880763400814,34.69422123233299,38.1008023863272,33.70707354728459,36.63754628857075,36.724007930876716,35.00839985833574,34.62314254800653,33.49919325775441,34.93871319457815,36.015645377545155,32.11437619675589,34.91380410920167,33.53346999928431,33.399209788167155,36.97279448056166,36.53565094898231,32.390671426381786,33.2672145601031,36.96980179807062,33.69615330003788,29.644303266985663,34.46692614795493,37.4974947556529,31.85249374659428,32.55463449226706,36.279000019155475,34.343149077538264,30.902860514084974,34.49074093682479,33.13503671536998,38.97259844671939,36.613224112223996,37.42608826736181,41.23084718858143,44.868237428711716,48.72563994475238,49.75222685117892,50.69342733435539,48.959531434590374,50.578884102248914,47.572173651492484,50.74475452485941,49.700853763715386,43.60897701584053,45.8036556946233,48.551871573055216,44.42136652281624,41.729117998100534,43.62028164873587,43.44998808056655,39.71900706755124,37.281679689984315,36.591564001027066,38.79730521271173,42.36256922879724,42.96053532886384,45.07398685452903,48.45376658774601,45.29460041482089,41.585331962440215,44.74847651535771,45.21926557987695,40.21236797614418,39.87043455810491,42.732287533089675,41.00151665546995,38.127713790539964,42.821217349268835,43.68452849517398,39.580322866818705,40.793641112159705,44.64427231474185,43.068697712513256,45.38807156202639,43.711890886659894,46.89998575434685,45.927921757697476,40.21295930273826,42.732892623179254,44.24461844428415,41.27089803167116,38.65763062993917,43.97839145642167,42.96848390874695,37.49844788625827,38.572390215354474,43.25333086155767,41.23957465145872,37.204569720733744,32.98996109413111,35.705238862587564,31.706575691931935,34.62494809209159,29.54433919633774,30.379450668609792,27.36298517608654,25.134199443626258,25.76119022200039,27.462698716973645,27.501818693731625,30.48460257385291,26.738384007446957,29.292245049467557,25.249823473492878,27.53529466694399,31.593630992916715,34.49170101099578,33.82183287895111,28.92967573345977,31.178733534447783,33.02035833010364,27.87450386426286,27.368759088163348,32.062581749413646,33.76299362593633,33.313582979538545,33.87321200862827,36.2819361785976],[25.240778024682196,22.977675607313937,21.31989081359775,16.00345916711039,16.39460235862238,18.685421494993243,17.737909828777372,21.999541169103814,20.69944082851532,18.96806797716214,21.884388605343794,25.666157933355098,22.592840104350827,19.92528609339539,24.794534328107357,25.937707687018193,22.278063880954413,25.345678683758635,25.04324621908959,27.889045887884635,29.926083629026326,33.14506904136232,33.04895063015534,31.08521093946318,29.246792602330625,25.60500395465382,24.506133217530696,22.11129752137669,25.03246538473862,26.816643208384633,30.25953762458819,31.191680153289802,35.13983996128931,37.39972971337622,34.52904915046071,31.309160249741172,31.3364314947668,29.169042918032023,27.864975831972252,33.46079862748615,28.74030242428445,29.81766157178595,33.993855131941864,32.699932573080275,32.50424539022341,30.972188610055824,35.08111706966233,35.72150184747718,32.02023533185636,35.56964432645002,39.3003890694936,40.24941787199229,42.24159813928029,36.467246198096625,40.67384726042096,43.52823723661537,39.68546555240085,38.250330794001556,42.902179439753745,43.32850548086706,39.28863620722463,41.59560647680482,40.797210836073226,41.387750277347614,38.239266829705194,35.63732627866939,32.64371859123958,30.915069538866593,27.689386060463193,27.161044535311106,25.556322207531597,28.081243769197027,30.547650620218675,32.66731817611205,33.15045695711258,39.2685374849058,37.517754920149784,41.26315545108856,39.71980322511195,40.02819788240049,38.944105337740055,37.79816106206193,37.11180242633048,36.612229317543886,32.794416375470234,32.36041413403505,33.35787105625492,35.830533973534855,34.47706889304859,38.98360001405143,36.35932434435692,39.396143254252955,36.8038899981757,35.95040012432687,31.5541914134156,32.71317578433191,28.67687633967239,31.760267753296006,30.29950922345086,33.84269184642721,32.94379872477096,33.125559901622054,32.650393562281096,31.500492373286402,32.72187658231056,28.945233814388757,32.22114680013881,30.54860430366978,27.556430919409827,28.24441506126989,23.92376972342507,22.157792178035297,19.69064897961632,17.201943819116085,17.125675250359517,14.572815007105206,17.262169952352444,15.344373435194012,20.126632500434752,20.780779503884034,17.65499569506338,16.341398084423044,11.856189860532877,12.125433099483029,13.479444622076123,13.9344685114903,17.83717744330563,19.056164493316327,22.11374753161614,25.841398811744966,24.776151005505145,29.38635146511243,28.253670287815968,29.89815029963326,24.5861888611217,20.746761479264997,18.519739251858564,15.504168898331164,12.417284451995904,15.52133412861414,14.601732160087773,19.40055247673378,19.58756741902391,18.21852923829493,22.050977977674176,22.544094201924953,19.79182374340062,21.50490231980799,22.68236956978325,22.050332274621265,25.338094879546972,26.388172304306664,31.1649427247297,32.836086118908554,32.59937089261137,31.597080743584684,28.265464166945446,28.640544108448893,27.36393579030153,26.637853417890245,23.823105878445475,25.34928089368095,21.320502101241217,25.95679886804549,25.157082930821417,21.25909890279762,24.51234878552743,24.95779263802804,23.109802317618477,19.41829586264207,21.101763685126844,19.659396322853162,24.33917966388305,26.615035313237566,28.503696001545293,31.050462834586696,29.91726908888011,35.231051773529195,33.02783289909988,34.27813222860848,30.769768801072637,29.278732707366416,32.13798531605384,33.53758311530026,30.30491890414153,32.62975914190501,31.34883192169924,34.82930336480673,30.63088957180496,33.16635207852302,33.054158822331004,31.063672509454626,30.35113386067546,28.9490722647006,30.19497708698868,31.129650131396602,27.101487427501944,29.81653146465378,28.415116879083325,28.27274427736529,31.889582236365232,31.529444363080447,27.38120802531348,28.29978458614192,32.08479195369854,28.94695931008013,24.939075695369397,29.828695116206667,32.959567468234255,27.54210111273718,28.35018518147488,32.16116782591832,30.405722677080888,27.17397901523076,30.81454333335244,29.237947791732594,35.04882451024866,32.562249512338724,33.06816683441307,36.912590646294845,40.38406625466515,44.364430986442855,45.159807659271,45.95215392351983,44.080647721572156,45.596569710820134,42.52784446815026,45.664192870110334,44.706159143783914,38.5800878011469,40.701168707870394,43.51007309442066,39.439602509363915,36.66975498823623,38.575085913216526,38.55737425450289,34.82235388317476,32.26803352539128,31.523860307106652,33.66118444613992,37.22892694359209,37.877376535674166,40.01515837999201,43.476715258598205,40.36078799474854,36.58339727660626,39.87112117410718,40.457758509647135,35.44387760271866,35.11055393454289,38.178303085958795,36.60849955758312,33.69394264652751,38.36355724215828,39.44784296576119,35.553349394559426,36.61776365135641,40.40078621959146,38.666831256477685,40.78010657522525,38.9280349474998,42.052186385083075,41.278744014582045,35.52540940340343,37.840222991850524,39.483518923258146,36.62085226044731,33.80618984821309,39.13686530834057,38.384538611973376,32.88714148443735,33.76508162510029,38.594653444069856,36.82979608413156,32.794342495359444,28.64613304814168,31.701314637561246,27.926564173990936,30.795247500142494,25.674485237050625,26.094841636773662,23.182622936211892,21.21962008592347,21.459030920168992,23.212575795347313,22.874698061502187,25.657852289587904,21.731741085699245,24.173034783188243,20.190991088035986,22.743665194435504,26.82385104897622,29.834156683414125,29.39437925564299,24.47267581926916,26.84134482431979,28.982201438103942,23.92489812193935,23.489580512911672,28.309898010018696,30.26144981463545,29.9152864152174,30.613724009445715,33.0313791961594],[29.713593797456134,27.18102056409228,24.981031379745758,20.035435463844838,19.47039911275101,22.780917143052616,21.527258248560234,25.672626911256483,24.745100879174178,22.510712631879077,25.421472252583445,29.18029493134652,25.360674644599385,22.941007589552427,27.41861294141562,28.21339874957943,24.019210427452546,26.474439017945116,25.224352662746313,27.848637186683927,29.330787150352513,32.10393090342208,31.708171044882064,29.254472468984012,27.714587883543537,24.60991513546024,23.894245895430842,22.351130810308597,25.925023256797996,28.338873527877187,32.005487651187444,33.18210904000405,37.258810491664455,38.9988746861589,35.86759014529121,32.261753138517015,32.476562670461796,29.356351221973018,27.58202233345437,32.673479005371284,27.50990886184244,28.882915472475265,32.79052099055497,30.945105973860407,30.181938409638587,28.257562150025862,32.166275260241555,33.40148485911541,29.805882101782682,32.813776376537874,36.89364264199925,38.02244196033034,40.26820722742403,34.91099000464648,39.416602783999764,42.017161434878055,38.03608125731051,37.206431409514835,41.92690225864368,41.78933392139227,38.11914021195425,40.91313667213686,40.61191265056589,40.74204347721329,37.34245063096959,35.22851536304171,32.46898974899598,31.401491859550596,28.232779929847066,28.524879062652996,26.754518539781106,29.31289210470217,31.822581006612726,33.24754690243744,34.120743214438654,39.97084408241874,37.87820052519421,41.920939518078164,40.11493897442779,39.956879400413115,39.186001897415046,37.576876780525744,37.489671243606125,36.504322859761984,32.42084793465984,32.56015554611572,33.35707136916416,36.49067600433691,34.92907716249212,39.97595462265559,37.46313347812353,40.61638119518507,38.44786321108202,37.997036376855924,33.86291611462518,35.37818652981325,31.58874134904271,34.490084121822676,33.29943428222464,37.10855736086985,35.43943311626417,35.7251667821844,34.53431968771324,33.4956384009626,33.89038137505514,30.456206920699763,33.64571824404734,31.617935892311817,29.115201925597933,30.19703612714738,26.325836758971885,24.160219807483777,22.452629428138927,19.230162322152427,19.37067787634252,16.104121683516155,18.20162720088359,15.21520927130331,19.950003457803845,21.70690385741585,18.95319751075863,18.44892300659662,13.78926585017718,14.762943079248513,16.796533129953517,16.094440221613105,20.646632970016157,20.826606087969857,23.56593382508372,26.75395821560015,25.250233193672152,29.669139986374695,27.873390266028842,30.03293567401861,24.357504742247635,21.05449960634094,18.660531643725122,15.45303221251123,12.17167709687817,15.078796809580668,12.655604832140087,17.149353432724997,18.369950775765812,17.699401069990287,21.433500743326178,22.956631238641148,20.534827756394144,23.105167522486823,24.58823535457239,24.82765182934218,28.241927706417208,29.905221382490353,34.60576669253641,36.829493284656294,36.31154216359926,34.8515493993478,31.25929602506942,31.32269549143479,29.601207181395466,28.485196044751056,24.76947234778228,25.972489683210398,21.131720851868604,25.4741480086337,23.864164813924233,19.27268738686373,22.71937442360767,22.3819150606742,21.023857799279458,17.566298379432315,19.908828109881096,18.888959344205624,23.79082916034971,26.569133836926003,28.850350050121584,31.910731037868928,31.12989314138047,36.2167610545282,33.34955899230916,34.62516316038946,30.462722875211043,29.79703566551684,31.828715894648965,32.68438454271608,29.348134795674277,31.330427655509926,30.114885143896803,32.936011114342044,28.211245403284902,30.84495438350824,30.577826317618527,29.14516348760993,28.50139027642589,27.525485164419482,29.10141200288077,30.25248229638135,26.74066399503957,29.930727539104893,29.06510036825268,29.50647392839872,33.30489445801574,33.49783194591603,29.416401316195707,30.162150450117295,34.27010008137244,31.654953198476132,27.44098173496507,32.295965219627305,35.906126967611115,30.848750541551926,31.474911689218153,35.41144679195081,34.109329766994016,30.884085994561858,34.21181769799351,32.23411610769268,38.10039341797606,34.731566612164315,35.35006113968366,39.366446328850635,42.35205020337123,46.61052459931239,46.92846183054602,47.833685527188536,45.72658360437735,47.09899972347646,44.027576049739366,46.71322473669332,45.7670401921389,39.70450812399503,41.55774108105054,43.95960666208179,39.921997605568286,37.13467688658611,38.55201758073938,38.371095829217204,34.97226801398169,32.07420874604671,32.18537992937121,34.38848202437395,38.05997857927812,39.31390440305053,41.57899504558081,45.40757880453271,42.34107929560013,38.466521247809276,42.192259367933985,43.030225705230315,38.03103074880434,37.778749758032525,41.23130167896954,39.937437613041084,36.96459867150175,41.497150253685156,42.92532234106411,39.29884793235608,40.03222846250345,43.67402503049229,41.6307968407296,43.46823939979344,41.36612295534767,44.15971439688941,43.626309551460835,37.89076829936163,39.67689760835061,41.24277882821584,38.55343993769406,35.3411387680494,40.28310672062831,39.65308784680652,34.21587278323324,34.54489519468675,39.212127155042765,37.594364192410424,33.606345999989735,29.86466021903866,32.429420644556515,29.013685293947756,32.51781458304442,27.76771152992325,28.418578837669585,26.1847927546567,23.79124203318318,23.45072998157241,24.46650871597706,23.891708383975146,27.05233923442821,23.499576552967,25.574079235238926,22.155913097115562,25.542955147197922,29.521338122451134,32.77131870992679,32.52421553090519,27.77861347268413,30.360276773324145,32.79705386901192,27.8288106535745,27.590001358072332,32.410137857203324,34.53903379099166,34.22566486489031,34.87575419300647,37.270662024241],[31.58787360973947,29.343997989498643,27.43870103571563,22.246035641393714,21.780493635061912,24.059658755590704,22.274001611948492,26.05607134141218,24.451285524179237,21.59900936311846,24.02574753322093,28.0463431955602,24.119487292252046,21.148557530986672,25.300169558243507,26.356623100991246,22.09743414671116,24.048857466826163,22.367792533288497,25.47179350135917,26.63570780691662,29.739076560773245,29.02117423172038,26.63956427525134,25.46571841145037,22.129721056916768,21.976151847312284,20.463684223370635,24.049959475171033,26.810206493249833,29.69571219358636,31.58276096827274,35.407238167321175,36.86672020580893,34.01331104739848,30.27759596616851,31.10961476878945,27.83517595859944,26.377902678179602,31.765924285157052,26.452281030032655,27.072669743927868,31.06242360874457,29.509180146787127,28.636807490590517,27.191848853531855,31.04741878616901,32.16759320614567,29.11244934738329,32.419570199421784,36.20389604310421,37.48282267837337,39.436984719405935,34.104252669968055,38.64721763743823,40.855610533660325,36.63346773543595,35.812596131703614,40.398214679885,40.081372720194146,36.06080933343889,38.574379384520824,38.156491919724616,37.983395082457484,34.77217756995972,32.81342257171446,29.509708831936905,28.59028478790106,25.0097690187123,25.424981385493115,23.353932693645774,25.61935242232507,28.423851307272766,29.82533840758947,31.135799504282886,36.937486523909385,35.2315417346995,39.38471595835634,37.899551949174565,38.00822558838795,37.66589724968184,36.40976131679514,36.71583359217192,36.12095427852237,31.981428056813066,31.661832321054877,31.85876991001278,35.048214718770765,32.86843919743935,37.809238283158884,34.9613218623678,37.78502500770507,35.72108149537985,35.55650280557145,31.590643114469884,32.94791889321812,29.337920149989703,32.72202500696474,31.9581240990196,36.21215805021184,34.43094192502868,35.47224723568275,34.05360943657615,33.75700569168514,34.52613476752504,31.457979291303836,35.0527141207744,33.46759226123485,31.16319011569532,31.716397003348625,27.884007666082425,25.14745242116288,22.993398599037697,19.60337496632452,18.606516073799718,15.221878099681371,16.47802087980905,13.208072051769102,17.010827200625204,19.091028972592017,16.20629017673183,16.27958077096212,12.057207884646177,14.016125965278533,16.831569748783487,17.080936146247506,22.30376874444783,22.433629451051093,25.528474514911114,28.38525775763321,27.65760998640884,31.993766783201018,30.00655654712348,31.632920237336656,26.166549628107614,22.590649937320975,21.17298964375327,17.202859086166033,13.398228475175584,15.376659628901711,12.158704004720896,16.19245698867732,16.825792844424218,16.694114838893316,20.474643161379728,21.843046274624697,19.74817439699226,22.499503579704825,24.55186621284232,24.764498069590637,28.656503085783587,29.909129781222017,34.764394607869264,36.79039864159145,35.806156688288965,34.44095733766728,30.712323691885526,31.285486760475806,29.058555135924053,28.762437729050543,25.09605737617435,25.451239399344693,20.998514883285733,25.17404008274585,24.29583910582395,20.13736975544637,24.159363890837756,24.150304104184897,23.39115629752571,19.647563105731102,21.834646945463895,20.114008828941873,24.564831320472003,27.026911940497047,28.874685429991917,31.941977361741447,30.591220514104645,35.858241300901966,33.07473752289737,34.76193184662669,30.863398242779066,30.6055681400916,32.954475254365065,33.904283900836454,30.39087211305009,31.68898828258068,29.86431118950741,32.905722578793664,28.27712252712166,31.406722913274933,31.63149639096613,30.228064705644073,30.238924907313113,29.58936010499644,31.436862161734926,32.99361599410729,29.611431583776785,32.86923892946256,32.232927801734625,32.23413815318489,36.29623617793182,36.09664770185856,32.002144920319985,33.26846074663923,37.22826430390187,34.304995762084445,30.536566747471444,35.46476950339378,38.65645317077606,33.52939565123306,34.46490498401561,38.31096077585602,36.5953193377128,33.54094225118264,37.19177191767581,35.47630709043341,41.27904153995928,38.42665676803608,38.86561349635537,42.788265920597084,45.95214727445132,50.124228608127254,50.54399095196147,51.22438909593598,49.069293832762945,50.30620207989517,47.02502109582501,49.8607246360863,49.177940364093864,43.02960234786226,44.705282684920576,47.38520792748406,43.491996930039804,40.51657810375763,41.85386544433781,42.05334138314758,38.704207501428456,35.4390178639872,35.55239429184052,37.211332034416884,40.934786452796736,42.159246023580906,44.08812793987171,47.851957710190945,44.47351213989404,40.883948613048325,44.68621893402955,45.14044400294539,40.0934673096753,40.21673364265149,43.45905687009897,41.95179426904488,39.269880842346446,43.99890463997725,45.18017277718125,41.44757262468592,42.61473216230181,46.34678964087369,44.52246718250135,46.36048531035911,44.19408403188283,47.20638794702112,46.814807181300104,41.04112995182846,42.89638730653833,44.71324020835004,42.052387328964585,38.832648232421796,43.92770142703976,43.49098437731349,38.02038592075055,38.32957642711458,43.15096610523227,41.65826840949223,37.659603576293286,33.841535494627095,36.61421913018706,33.138046366714896,36.44120767832815,31.527106698616972,31.95872619454901,29.329915693391026,27.29782412015037,27.152175775990326,28.460806990883153,27.793391403703886,30.664961367520018,26.66955392238517,28.481313715237548,24.61117401710948,27.925371132475874,31.51626385182054,34.811252678339535,33.99426710687563,29.43683259690873,32.35397263547724,34.322652834363204,29.006963478037306,29.308703024398124,34.15396203943828,35.830242044341475,35.288859108596945,35.68021779695457,38.06539116659084],[27.014349587023062,24.891326907525453,23.087267501027554,17.863319443378863,17.45526459395496,18.865126198775645,16.93714943028103,20.666520006273995,18.931701421681215,16.302235332236695,18.902029763202005,22.86189611449853,19.320701107263996,16.4026702775482,20.974644319357175,22.131769312852793,18.282389435806568,21.04452052492611,20.59382980915818,23.622207125668567,25.613394999946163,29.026890034996455,28.89974774495123,27.134107635680603,25.32388547700998,21.47462707273938,20.541953457509425,18.059940634061263,20.98538478781679,23.04852343023942,26.12008178820549,27.48980033379692,31.33767460359625,33.33695477262223,30.564704804261673,27.223521972037343,27.642862921098903,25.340768549039552,24.272819968777732,30.115254327068957,25.380073963962705,25.9454344687693,30.201028516162197,29.210056571463955,29.147437824795716,28.05450233159031,32.17785342642407,32.50416820491623,29.135352460479126,33.04594138290054,36.42853312788735,37.43468770574358,39.145366977740224,33.31272056179442,37.488191346419434,40.11757562456672,36.1616829462989,34.621809584208535,39.17463601470976,39.601994802685404,35.31214257999133,37.4077103698287,36.50200115425387,37.04092088434683,33.99949336946402,31.384526623180854,28.19135177538364,26.462903880189334,23.154924530409335,22.711056538607032,21.074371132106943,23.670022790943232,26.075280572190277,28.12195094464122,28.678289309200885,34.76968636597871,33.12259505059985,36.918056110092024,35.50728353958585,35.963110679924746,35.11961785544758,34.21499721747789,33.809608939618805,33.61794575989289,29.766471550370415,28.95987633103851,29.55020628097868,32.06089970662051,30.336969065047814,34.82332620423563,32.05544468235612,34.99874060675411,32.51027659384019,31.853635605947183,27.589569083224443,28.835884749280094,24.963808365435742,28.19599831024105,27.1045549205876,31.104393160900663,29.799880844145328,30.64672274498756,29.763501998656785,29.324178155178323,30.751755429420182,27.4333833870546,31.14860869269093,29.937139831892452,27.337377368251264,27.462213471775023,23.37355314585292,20.77258674987903,18.06174757706597,15.143902577276457,14.00599007655832,11.191985179528428,13.273810886484553,11.308796510956851,15.723542558761496,16.383708582271666,13.236703085258888,12.247930689216615,7.861498060632453,9.067913662249243,11.5440476139547,12.659316719178687,17.675827242411557,18.392073815245702,21.793459121419815,24.95187219501819,24.80886992351295,29.250170604068053,27.819583790405648,28.856561799385773,23.78793705537844,19.692458342654014,18.70830576058959,14.738446143548208,11.107717672373305,13.213744735153615,12.029203586065545,16.535665284436167,16.01302131940349,14.829977612596704,18.683514485172346,18.976278807839243,16.46740599196218,18.41650898230708,20.17868167474522,19.787415345151157,23.6273744163881,24.55984802819919,29.457447817234687,31.302735833743526,30.43207624641126,29.247160109462595,25.665366582579498,26.382940788225905,24.497146162688587,24.437681493543028,21.51424127377677,22.24555860089722,18.558026470172457,23.060421015687034,22.985577656307235,19.631634064386667,23.385000433698174,24.32102060945544,23.059190988086083,19.025877995296636,20.463032530040305,18.243408123075017,22.42268900765912,24.373514833919497,25.863362682372877,28.45099471568748,26.85621338792326,32.30390296837411,30.12395894419305,31.737069103149953,28.468287414803015,27.408113060832893,30.551935841693474,32.05681859927572,28.65849097785992,30.363578846056054,28.566649867577617,32.33044102346471,28.384357125509155,31.273454146686813,31.65453977037899,29.575189013950194,29.525904980822332,28.447461599893142,29.996987365354475,31.4512659921247,27.649711793600105,30.502932911200507,29.57412018381103,28.914612436858143,32.975689198060515,32.2168180421058,28.112567171215108,29.80976343769164,33.46311986953796,30.130878719163192,26.87504987315996,31.82026673667979,34.457245784897445,29.288833545531507,30.59148915225923,34.28547129918409,32.16712096715927,29.42488777619191,33.442051777820105,32.03482318833002,37.640305709747075,35.64718620272094,35.68900922678423,39.4133889929298,42.871538733685966,46.85057213559223,47.50516598753589,47.88346774832225,45.8023338487508,47.0013872246208,43.59677504998084,46.81002516942346,46.31018776898032,40.08179308070176,41.81230141881546,44.966621212726274,41.17575429773969,38.08499424505638,39.76182066224195,40.36322752039357,36.800317820564985,33.55434299851933,32.99526517901901,34.27513846080476,37.926310290644054,38.70317565525361,40.37378502985443,43.86051778855126,40.33597437042203,36.936726197352506,40.5084563930501,40.65017216237774,35.59600181975484,35.86795509136122,38.824292059405614,37.12196165227726,34.647956436679685,39.516985912709636,40.4519556286144,36.65225958877316,38.186474647409476,41.98174862192809,40.41196179244125,42.29163498592242,40.17327398133511,43.476412242360276,43.121595359662514,37.345734270913205,39.46171312977349,41.540745439337094,38.870900208435884,35.8274376654891,41.24666474813701,41.000235366606994,35.50399846130989,36.05599414895736,41.13430890334357,39.78060321583931,35.78071797260749,31.73552605601557,35.15031301217241,31.595853865378086,34.27465196646762,29.09068092312894,28.94551987507357,25.781197074806595,24.499819068374965,24.56256732921065,26.507039200583694,25.691505664613995,27.954568240394973,23.407513388914097,25.192746047006963,20.7816125466285,23.618735393887032,26.990129194688716,30.17520193542683,29.05633554404648,24.52719051538089,27.545834767708214,29.195426499568185,23.740163527661398,24.31980421389416,29.16930963391741,30.592527384152824,29.958977370643478,30.310950919650168,32.68848921350336],[29.02150304538849,26.297414763398006,23.407996107845378,18.919220341539322,16.86237067257153,20.20379074250817,18.194306073121407,21.942293704213224,21.485690108158646,18.900182963620747,21.960253330966175,25.396355407613285,21.03732239100356,19.347910534167724,23.562696373234804,23.846933951226347,19.535209522944893,22.120809253414503,21.240638888760586,23.298631291563016,25.18642309604391,27.75061173875287,27.847061567984063,25.67362753999849,23.558944888103124,20.463287524499584,19.125896989521706,17.4999898900157,21.055442205557334,23.37511986533682,27.641448524769093,28.377968110007814,32.623441661912864,34.31506886279651,30.933079520353594,27.368717941387903,27.253870240013498,24.14712416220789,22.27071947952775,27.335208401261536,22.407230292139324,24.069275935048335,27.999755891341728,26.2879722889374,26.031404765456596,24.226452600500583,28.33559673655187,29.036200144731183,25.151239928686227,28.539874106646238,32.36901653653426,33.3501492955965,35.480970264665864,29.872971354736027,34.2246795107775,37.06676667579565,33.28225909187722,32.1674634951208,36.902228449510865,37.127758654907645,33.52364183859874,36.344443540728285,36.018358010962835,36.5743841898191,33.08452560878869,30.682150030745216,28.496675632920006,27.233731141739455,24.684602948503457,25.021975243358046,23.73858398728081,26.825821630144564,28.670837107768634,29.90895282655491,30.19129263215052,35.97300909516769,33.437670770358714,37.344956008798725,35.26434702383014,34.943917955884515,33.90448571617396,32.18614197122537,31.943606311521506,30.919238247509774,26.884006204421077,27.06761410958858,28.109846930416442,31.195372618299736,30.00490868304545,35.14315466755479,32.971262359978084,36.46633958208177,34.360141318834465,33.809866114538046,29.743606464055166,31.66851080528111,28.002741052952224,30.23810665557905,29.021647100511835,32.814847810781174,30.611506533023466,30.820798113968266,29.277398395855975,28.307556344531495,28.490015377413876,25.30574855525754,28.670595708967976,26.8472710597836,24.715942101339596,25.544195546615057,22.021409781075974,19.286681905607836,17.964841646179313,14.300310402858202,14.702196023404722,11.266386789129553,13.513718194617674,10.802257303297843,16.289260033231244,17.679887601340987,15.408073084153056,14.755302577776883,10.095587857348596,10.775989379575476,13.04876115213715,11.568521663792517,16.902117773669183,16.264995618756714,19.09556046873573,21.793589347556576,20.90554059437812,25.1876763785439,23.20739023360667,24.93692283725505,19.411233332116456,15.938238337541392,14.450323012529203,10.475936797031878,6.875044350426177,9.556065680391818,7.9650024999582945,12.813035791038537,13.66821076199098,12.465922904081499,16.136387802479778,17.634666196998765,15.179198129128963,17.905285182586585,19.431991302469424,20.214322696591136,23.71687272847518,25.85401495236587,30.426133011602992,33.257657942017,32.402888678175024,30.473742857418184,26.72925522436235,26.523622742202797,24.580814188950836,23.27420417049849,19.288565013654893,20.446319027684137,15.561800262695664,19.945948197466507,18.558524271535106,14.398331007062652,17.97494717711088,18.382826090151227,17.16789838518655,13.274384653908477,15.210418989828554,13.632943925359035,18.34698902480998,21.008559240242533,23.24414812474355,26.348616078280685,25.67824665383645,30.666635608184514,27.738186775576047,29.016656950250454,24.91593786387425,24.34139053429287,26.4993562164033,27.501310049953123,24.108890646936732,26.04592670398615,24.799535136248405,27.947997952292116,23.59215014087704,26.177859102517832,26.17046503965328,24.34545026603593,24.002146579661122,23.06136290330141,24.772486181056173,26.319892964700074,22.913502354141556,26.189292599365288,25.804233975589465,25.76630211230994,30.025927964716217,29.947867572512614,25.941709754703606,27.44268857289178,31.47913092663441,28.865660537541824,25.43384406287605,30.32897604149358,33.55082449467025,28.99926868815544,30.143392237142,33.99690657732201,32.555614283747374,29.97990955843531,33.63418994335509,31.654759237197567,37.2369458713542,34.262194660221226,34.17528647995821,38.07312797785457,40.884746872534194,45.20709010193182,45.20253619698267,45.58681133303367,43.17560738816661,44.15127516581759,40.72422681694553,43.43021071751973,43.00218663599798,36.838178606279115,38.23576267803237,41.013631916978085,37.31831296051793,34.15462940146484,35.36141851244754,35.93231687227626,32.699417260097746,29.01081588108937,29.27070343016806,30.566298499512484,34.321122546821954,35.76477640361318,37.616949015054686,41.54316018936554,38.165733008462595,34.57990211957076,38.6813428918497,39.23372222284225,34.223672036341576,34.52797758460624,38.05734273462923,36.81595902899667,34.2203732093049,38.85776753219414,40.3474360062743,37.030235749401065,38.027130436714536,41.58562214691301,39.563069545428164,40.992176822948004,38.5007111259786,41.374848337922515,41.40881790543748,35.66023340112615,37.0571174678586,39.13639354695697,36.74569809850255,33.15884172356384,38.16167250788836,38.24577706452175,32.82995881409486,32.66596428174018,37.68054171496186,36.692982763825,32.77895769382471,29.23379712266241,32.43336230286828,29.457886045576252,32.65248502331675,27.875613551517255,27.621575440948263,25.294239795737873,23.814021447560197,22.986701770518735,24.222463790835164,22.840904466643405,25.24595975324154,20.983677059748853,22.246892062448204,18.58114707430174,22.543538544251195,25.8207926593707,29.315956855393384,28.717626552031824,24.369607256772923,27.599873640684645,29.865972217345053,24.753276796748455,25.439953740722462,30.298005677359065,32.17491580190101,31.71899016514055,32.18167398258395,34.4994169946942],[33.0519969191997,30.417242940158566,27.695332910488254,23.06010400965697,21.24255538801076,24.46380910624656,22.330833335047565,25.921329003330648,25.111524228761866,22.076500696333856,24.76617681401499,28.408683092292982,23.793462098094878,21.716979478519807,25.53116664676267,25.907995166901745,21.31663525239977,23.089895127855115,21.154773949943102,23.47339218890982,24.605187636892442,27.070031391824365,26.5959913402852,23.9992307406236,22.51283250532739,19.721944742443437,19.248114757463135,18.373337277262912,22.36433602526094,25.330094349081993,29.0377015023476,30.487367797181832,34.57526885364092,35.7562332884366,32.467987216403976,28.57755220615549,29.073365050050956,25.215349260716547,23.238560742691753,28.063461311410528,22.65430775791685,23.969889695166493,27.71518494620271,25.71519751175846,24.779893035612368,22.924741093968258,26.79445184595813,28.052951621552385,24.691455998155387,27.730487589132686,31.718785429705587,32.982686398825855,35.161700778244814,29.970775596230823,34.60860449653487,36.92730864045441,32.837395338842455,32.27631966029069,36.95789945442038,36.54373848040756,32.988146712710716,35.98860912283292,35.96941798110328,35.87774481738031,32.349551772322464,30.49974276069146,28.011376386934295,27.394081581367562,24.492559476440885,25.46742632276624,23.775800650939278,26.533915135457438,28.745665062705555,29.525224882470997,30.50254012380462,36.047913958298174,33.638583519316256,37.84490684465049,35.86063555982518,35.41391883758589,34.95141836705518,33.16076525648859,33.647350183877236,32.53787972092724,28.292982442374388,28.59121528601699,29.02442187068575,32.61357372030891,30.792733815608404,36.186809331695876,33.80484453685224,37.06517929602177,35.30347736860332,35.22122631864938,31.435466023544805,33.35293394971634,29.93313729935952,32.5267299626193,31.743212469847677,35.929419789758676,33.38018190987836,34.12307674387094,32.121458986799716,31.659570028414908,31.59728526019074,28.82578380510251,32.27257709371058,30.444728900142298,28.648348703970452,29.478656076969372,26.179556797251376,23.13069142723624,21.882143303483243,17.9649114180448,17.70067042844481,13.944283214623542,15.085281628151296,11.368835164502862,15.860080066548708,18.373205418728872,16.210957875213186,16.505187118267067,12.200341624525826,13.930683390301697,16.82231655017923,15.645713323563763,21.235148622754743,20.315265859304144,23.0511414444801,25.313074068446404,24.42585782857238,28.490961408325774,26.03617194925067,27.897179554579385,22.31728471371144,19.211016808860897,17.973912692121715,13.867812625117846,10.21425418810211,11.88097555850678,8.035118698369143,12.040029325809915,13.561956320369664,13.557167197139433,17.097549110176033,19.279597820104268,17.365550032253168,20.66998097411555,22.691809165029362,23.783690946367457,27.549835105917673,29.607041635657893,34.229250809930136,37.025935609003334,35.87075539096526,33.9071929218883,30.017714054677896,30.016870339318064,27.601052886565235,26.626264813119963,22.25199595920628,22.62997470333495,17.528431092735243,21.451700195323,19.87033135157052,15.379669888929111,19.41395029499271,19.1691525501641,18.754343124167395,15.10889465746667,17.524144822540137,16.040207651302033,20.528244931126974,23.33504349589603,25.55019130637728,28.958023819497363,28.15088714933372,33.06247958292823,29.774601313242602,31.313968543087668,26.94136939682905,27.19672573868841,28.89653888199603,29.504540542866202,25.981120475050275,27.198465456569973,25.619623837859816,28.277572535107034,23.453515352568083,26.476112522268973,26.59446763068706,25.368456730624786,25.425013255684554,25.027531351532033,27.087688110535236,28.89672810880537,25.950533549329638,29.494499966148904,29.428866604924252,29.654809306173775,33.9651476791256,34.08305156530464,30.126732890465973,31.540341290689703,35.666621695656175,33.19163909517455,29.637438136312767,34.50756676196538,37.88199966793636,33.319924935537045,34.34483577583182,38.23671668926572,36.86017231216573,34.14327892285087,37.69234759350924,35.648744178771956,41.322257730335124,38.02088815271412,38.14446933138117,42.11470140874543,44.80233870377022,49.19039078696144,49.08434664223413,49.58646124443565,47.115127604406574,48.053670599420855,44.6396361638512,47.132428292821444,46.69498294237022,40.5920999940634,41.86452532467212,44.40764405036568,40.72917394270964,37.595792091595456,38.501907803411875,38.94727714491549,35.92940452413454,32.108047161305215,32.85520805473026,34.16324426435686,37.94528171882007,39.670321054819794,41.528547621316214,45.58667315019131,42.18080094146086,38.63235734120938,42.883222342821526,43.4580771355513,38.465577422591444,38.836451892765616,42.42065624024642,41.20306265092575,38.616764237371406,43.233467331707814,44.752317699088564,41.422021193895226,42.38398889971112,45.9358777401697,43.86032609233087,45.26948134665159,42.74210529542108,45.50697565060204,45.56711692874162,39.83678740888395,41.092979826837556,43.083741857265714,40.719203046726854,37.049093789336645,41.85482597050526,41.88066207024689,36.505419596558994,36.177733628710314,41.03163825397266,39.9983261399087,36.10376195496322,32.70344710969929,35.50227777275801,32.56192087331273,36.086602333208255,31.44142411704549,31.518235282577024,29.366370278177666,27.52588300107488,26.701310012866553,27.6215996570879,26.365317446685623,29.06203535428014,25.071473796229547,26.251628816790234,22.808541845251646,26.900392180434586,30.126999460229953,33.66082536321138,32.97190285649912,28.729921583120476,31.99352960559975,34.207809527586,29.0328641807348,29.75859537936744,34.599957314328,36.415366084270964,35.91040805946203,36.28380369690811,38.6216220580128],[33.658004403764046,31.292512206826427,28.84396662745326,24.051921692758615,22.34524245344033,24.4732454852517,21.849675252244413,25.00655633063864,23.61169637724194,20.038191732716847,22.265969459437848,26.06583230188411,21.373969801674757,18.888568955080732,22.36036744545702,22.936775140038748,18.323129089866654,19.719896737128753,17.58332856625944,20.375143178110243,21.42721004900929,24.342810635719285,23.73434045123994,21.403548353742817,20.05123211149786,16.79795217747591,16.69117507981473,15.59746411739718,19.501065878883995,22.70266439783511,25.7218255898008,27.742418000616098,31.6032729864901,32.60990486932573,29.583164317681714,25.633637087200825,26.652261567688505,22.846016583298443,21.302768172865008,26.57815304771866,21.185148883616122,21.668172894952654,25.60515725847201,24.095917108724734,23.322659939552,22.11211688111712,26.023206344936614,26.874646090540715,23.97945532540296,27.545032867368135,31.073099945807545,32.41476599074067,34.20435932458712,28.876996694566987,33.425798739924396,35.462973361465245,31.225203488977577,30.44565304395071,34.96713567710205,34.60582536004491,30.600134535751266,33.205479028958464,32.94124887551176,32.76109209860682,29.43775430126795,27.534894487042575,24.54361126285071,23.86282688324366,20.648490464867518,21.614639649871236,19.76918712384959,22.439229141361785,24.750691858282416,25.604360469516106,26.785918005474997,32.3714267174878,30.30169182237658,34.54568033942682,32.86944723305728,32.76547302182677,32.59741517835063,31.257179257738606,31.95287924544755,31.345893884316673,27.136525430409176,26.822560179271186,26.738567644964466,30.226188732861704,27.895846105676345,33.11009334559181,30.432797059880105,33.44581007963538,31.70070009455877,31.792172610728795,28.121142574050204,29.92484054724904,26.65935105898424,29.598097912060002,29.171808193379757,33.72026811387436,31.110144557135644,32.5435707397668,30.413246463592376,30.660312773980632,31.111998036973162,28.670545855487862,32.50798606607126,31.216806633907265,29.54600678034415,29.76593770321658,26.48897993796265,22.961784007933492,21.213090969180538,17.278427036855945,15.83952985652044,12.091919643736652,12.353880834467402,8.474511581961947,12.208178063026843,14.837677859005268,12.575278868119614,13.382009528152487,9.637947311048476,12.278156714614383,15.819263106088222,15.67009841623076,21.70384320279697,20.872755641590803,23.96345719626097,25.960300520474892,25.97218283324817,29.945581370541557,27.510232200513546,28.66736399627762,23.482323392747162,20.01657184037051,19.834872491721455,15.163334631576951,11.238291862965125,11.81134635777086,7.860921286183189,11.224126139250837,11.573570859812417,11.932611237216202,15.525136015795583,17.250772321536402,15.628865709548435,18.95833767459709,21.496304728243622,22.47648303681628,26.652107556332307,28.274073865789898,32.999294783497206,35.604763632711354,34.0159125927115,32.14671351270416,28.166988655930986,28.665342556670357,25.818482145842847,25.709508598519978,21.590800191399257,21.153552764709158,16.721376375042908,20.508162235256826,19.998592203832903,16.359721012745258,20.7879452942282,21.192229655983645,21.171827265744632,17.28554417169353,19.223045095614196,16.925283808602092,20.75074004131243,23.035603868213247,24.67849853662712,27.95076805916302,26.511768758857652,31.628178702740506,28.584877088107316,30.52092615806715,26.62147967435958,27.070028534079576,29.29473208348979,30.156842911204247,26.528116607257445,27.15557391782322,24.95512821075523,28.051557084332202,23.621357525055775,27.033699572934264,27.70191807931556,26.307500194071455,26.996160825713282,26.778396170984223,28.968657583808778,31.094333715607924,28.15837387117926,31.597232072618695,31.630917796028257,31.289605770305634,35.79584921349808,35.419064638676204,31.477387461372945,33.43754821925541,37.335475452816866,34.504089534544626,31.46929662537783,36.38471128158845,39.25227872930561,34.64494087699989,36.01038260522881,39.77821160098663,37.96527271357069,35.4788068211993,39.370150972086485,37.61942865171058,43.18607001906156,40.53224717541447,40.41379786521511,44.24971686637113,47.167404748771204,51.398775396442325,51.47050305042143,51.70564332783937,49.21363420042244,50.02177281391147,46.398773781835445,49.122430342576465,48.96170533055702,42.780672360446,43.918158072890165,46.82794611028132,43.30907230200176,39.99933036812087,40.93656681205312,41.817722628904264,38.779445291387624,34.69622276418667,35.22838281723785,35.961035523191995,39.74348007982731,41.307098958853864,42.78533922760256,46.69925796887025,42.97922630007433,39.75949007080647,44.003677409430054,44.15011110613575,39.13823156316876,39.88642458903099,43.199781440323,41.75596514230812,39.49445133649553,44.29611549588718,45.537895804234296,42.12231593165332,43.543344281528526,47.17539301333177,45.35595442099011,46.76801745491866,44.20221301935501,47.22650607749386,47.418118340250786,41.66965555435998,43.05152743497566,45.32047566828971,42.9784305191332,39.36605671257466,44.379462772875414,44.6085875737987,39.20377651080872,38.94657446173717,43.99024008176773,43.07882143573359,39.17370479312538,35.63414585541796,38.76643102714777,35.722118381880996,38.932432342950264,34.0735154655573,33.850679045661366,31.248155322861667,29.85822458579871,29.263278289914737,30.58228455132269,29.254633953234407,31.57490825700636,27.108985917295307,28.07217714899415,24.133717929588194,28.002575435945264,30.79766745913659,34.321881691581865,33.049009828104936,29.036812571157675,32.60570633087244,34.31971225759328,28.854072371649064,30.129810694389704,34.95874019714166,36.308666573853095,35.587039563735836,35.71917877536262,38.032667160717324],[34.70100946724149,32.35531984206002,29.801517403558545,25.184350431706758,23.22218418905598,25.08995623896435,22.212315777285202,25.056414018136884,23.64930897242186,19.834378661094778,21.869568180955895,25.56221314334656,20.68088853832321,18.334721876778886,21.433476298406276,21.86530282853495,17.188318941032442,18.260686442559294,15.912453816118486,18.633967198285312,19.611597009187314,22.518000217944262,21.927790410928473,19.682441825119852,18.284380845036225,15.007590592768468,14.99557788098626,14.082400838965505,18.054709900306854,21.441000636780508,24.347621905421036,26.507781915267536,30.309708732909,31.115925031718255,28.090527950499887,24.074616509343432,25.252764794021015,21.27052516442649,19.77883777700245,25.048420412174274,19.653104742368456,19.931103289601708,23.859749761396362,22.464450023147194,21.75432488444324,20.750709714938303,24.663785650706732,25.35183464909928,22.603770243956372,26.35326384209954,29.694037374188866,31.0706975275249,32.7135282139757,27.388715434712385,31.894294015427715,33.81377414870278,29.569518558277352,28.75751336540172,33.21437405630279,32.85685102746434,28.793725088430282,31.35724941876914,31.114169949040697,30.89936143632469,27.584755394065088,25.704161892283178,22.75906109897932,22.166663303198092,19.060040468210264,20.23548163832438,18.47469100560659,21.242137908923368,23.357664392980176,24.006626288484558,25.175555661730115,30.66925542882866,28.528272461382915,32.800654412870976,31.117339618053585,30.994230999010277,30.94398701167058,29.65317364173745,30.529346560634732,30.001255301631556,25.797936617425734,25.38679760364896,25.100121747382705,28.666957112788822,26.204434070463698,31.464419966707457,28.80413860213826,31.822906358275738,30.205735528684944,30.42317463326263,26.907243059400187,28.827500533371477,25.743420877293975,28.565090748445208,28.325930373031337,32.998168506983994,30.122560904506173,31.793366590946743,29.411838210163225,29.960055526600982,30.374807064345315,28.228442676057345,32.17261764918466,31.058503086574138,29.619447868164443,29.649073848031012,26.59519683492304,22.805776926111644,21.150461963782092,17.134019268539536,15.37460461547431,11.677895073393215,11.297376363644618,7.255158367312896,10.647060361828284,13.46976597285127,11.53976830802671,12.714234903611064,9.550313928734967,12.402539692228965,16.102336001154068,16.009744672834348,22.189849452264262,21.073351594820235,24.14089709108605,25.79071396105561,26.160070329655436,29.95789732602918,27.40379351939464,28.29919452283608,23.329759806761803,19.925580817948845,20.28408636752521,15.466244125766089,11.680196921642839,11.528936674587634,7.47971894509026,10.160645967849312,10.094018651166367,10.798355631423817,14.19846330952189,15.97917251247392,14.658041076908106,18.145745759221295,20.903512079085427,22.112467844727856,26.37925325746159,28.01934345738664,32.66454256463993,35.39608719888709,33.58663833406953,31.57825866374768,27.538984025794225,28.093143272712254,24.992554127715685,25.094762151676168,20.919364694152716,20.041626130927433,15.81264144167262,19.341402005574906,19.152152734534962,15.906267456069177,20.45122675742077,21.06369089324918,21.348731191514407,17.489258874801738,19.24456371614117,16.69862744466257,20.096992288163445,22.20744539389066,23.66015144946321,26.955265385874572,25.391502280115848,30.445393454620643,27.36942490291291,29.445357562705635,25.653189824036644,26.39165145994408,28.62077210850036,29.474967440868014,25.82344878653592,26.099818057681233,23.67787844421117,26.8538136200541,22.554389768734573,26.118833437958234,27.009920590786642,25.62673598833208,26.63761397710437,26.59814736900208,28.90016919022873,31.225321354487047,28.463249828565736,31.90818059675701,32.15407771271583,31.64917861798062,36.26343652112385,35.77829674373247,31.92146119197573,34.12839299472073,37.94475786822256,35.11714463158924,32.37934618043987,37.251260063314284,39.94523587189141,35.504728518083304,37.01634970331552,40.72574421702706,38.837897011097255,36.5401806076779,40.5186690142697,38.80595926753839,44.262667198906804,41.759840669803054,41.46620523189011,45.240959204935365,48.10251683729503,52.33393008857462,52.30757968979888,52.38292402988831,49.81638680605778,50.47708581626516,46.750893400457656,49.456013692600315,49.48446605289697,43.3174792379417,44.268491266346594,47.274635905714405,43.90501560182731,40.49786006070789,41.322829693718006,42.43735890522494,39.50316602158612,35.19308563549547,35.81717459947865,36.195861983959674,39.97202032504885,41.610256586410614,42.893606968041496,46.804746321663536,42.96833867141838,39.921321371299236,44.2652017435182,44.26742720543205,39.300699989217605,40.27347698132062,43.550549776823466,42.10359520909361,40.020870322958814,44.83800219532188,46.05138141482681,42.737379014446034,44.27590346123874,47.86963014264386,46.0938974966888,47.38175048217781,44.71311723772157,47.754791373194365,48.12692159173271,42.41369003620721,43.67391511064132,46.08645012457658,43.848116028011006,40.15949978518619,45.14098656920518,45.57643060403464,40.219458471914635,39.82272637046716,44.910431062240384,44.17621170909502,40.31615456694522,36.85713980647344,40.095135679012955,37.16177119991828,40.29530633850758,35.46434073780136,35.04746420841357,32.416288651999274,31.250215714507775,30.58811905676764,31.938149009054204,30.45271948288047,32.56538232682838,27.969028959976733,28.650977532984122,24.696392052792106,28.638043450862835,31.080451037120447,34.64624136808048,33.185229849029625,29.37945344678659,33.159923546448496,34.73415600578275,29.22312917881641,30.834201373910602,35.653950100783796,36.84052642555095,36.070942178682664,36.14889126061568,38.43875577817545],[36.02191805108537,33.7592564934275,31.25381452778228,26.70352356222164,24.710857807886143,26.266680390245902,23.24976594446286,25.811455850287192,24.287821415420993,20.321969244576312,22.078447530561657,25.694308150387084,20.80225672562965,18.46618009932203,21.154851168016037,21.550040626269478,16.95834819354905,17.56745197806166,14.892303018760554,17.580421639474014,18.317155269276128,21.216420213774366,20.532798981060832,18.3409439495663,17.036672177391353,13.802334121846751,14.133963894320791,13.601098856265367,17.516295427617752,21.06335717343615,23.62754748137697,26.031462250665527,29.67966181720778,30.25047842929569,27.31651949169328,23.2597621326837,24.696645767976882,20.551259356733524,19.16657591034949,24.337532000390365,18.960594456476773,18.889987615277324,22.742750753359015,21.46248117792621,20.713772758355606,19.993587544623377,23.806285923289543,24.385164042903238,21.95286257070411,25.780762609855255,28.906698071661108,30.343014088095924,31.840431367219136,26.59339362159768,31.08937573186812,32.80295572465439,28.49105611738889,27.730672074867027,32.095544546559026,31.64458466127347,27.520774527148955,30.021537655220296,29.802369060788266,29.46692305405062,26.192455635778497,24.425542875226174,21.43261232601217,21.02314059634767,17.968269768262594,19.360485745928017,17.61359536916265,20.310281210605876,22.33186344387096,22.777293333902353,24.051174070442663,29.388695347686802,27.277240519130338,31.585349452344715,29.966950002833684,29.85733214245217,30.015488399632982,28.811508441953883,29.944256812738693,29.534729935274104,25.370705003214443,24.83865556125936,24.239108119330677,27.883478710871188,25.189879743563125,30.439171052594112,27.749032078411847,30.671197296876045,29.204734887002704,29.596255501346803,26.283442328573873,28.219856717467223,25.342270284933864,28.16681382878908,28.15218361466103,32.93328301771154,29.896792575714542,31.853954714951495,29.28627300497358,30.16624017002534,30.596944401189102,28.744524121918452,32.75682405684208,31.819584309875808,30.573654162392785,30.42289335440075,27.547928077538007,23.615590535337116,21.990230584876127,18.057992048436887,15.975992178473875,12.575915371366897,11.573503473888284,7.8944639875926645,9.958106359970525,13.013872038298645,11.456888822101268,12.971670686095644,10.55859604148836,13.486906234136823,17.185084591151504,17.327255800536154,23.44958960298386,22.22322546919257,25.249723663315162,26.602515270983236,27.265023440235183,30.87986385665325,28.241329154600177,28.902702500588408,24.189187230882318,20.90563086408263,21.658911298457575,16.873428564428803,13.335090089878626,12.660001436029873,8.752499784716028,10.181597804041044,9.741998091809524,11.079185992707949,14.012358451675386,15.833439579126656,14.935993953579082,18.419351965928175,21.335588557054944,22.642735758263008,26.94533402240779,28.485222472161748,33.04956189104893,35.78451518371737,33.774624654663924,31.726144921814612,27.688667296140267,28.36293860598005,25.064346655069304,25.454929933584225,21.337530933712763,19.99377456689618,16.117246679804374,19.223146791775303,19.351482008661673,16.551083660315676,21.103847321799652,21.811331409600033,22.411336470073394,18.67471769980502,20.28968089765037,17.624950478158816,20.53883805028006,22.44619886000177,23.668980277888327,26.93739517721737,25.22192150527191,30.1685020652838,27.09393284144346,29.31715971395254,25.675566682771354,26.725904678734402,28.92176992068809,29.734025934890724,26.094828106865364,25.96722737563474,23.29030129591818,26.45114477769466,22.298855125967872,26.027093399041842,27.16682379656838,25.85483831731059,27.17414350855904,27.3292006969845,29.72115182374729,32.19498204121187,29.626123527374716,33.04916275067097,33.450309382230536,32.82262597452673,37.48007215911713,36.89933948566863,33.1297850651162,35.500253240465206,39.22518030959034,36.388630905530974,33.87543517918093,38.69086916007202,41.22445643275196,36.887042224541084,38.49512672769242,42.14141743260091,40.17005313689019,37.996096561987855,42.031989040343,40.38292131218474,45.75681869707149,43.40119277511022,43.00744115129081,46.72371783935534,49.571452178157685,53.73722893332755,53.68818144450138,53.65831745337934,51.058965427559066,51.61387882686952,47.824762791267965,50.513089220721724,50.68379690190708,44.55716791665658,45.367828838527004,48.4337525093685,45.188734845997494,41.72594851385588,42.46439177990741,43.74057031674957,40.88857324004971,36.44094971664478,37.13375984973611,37.24501355758718,40.99259556223898,42.6726531255496,43.79064431900785,47.66630659921715,43.74834441611179,40.86574763749649,45.24437308295921,45.11422697148724,40.212344963077896,41.350820440135806,44.55468221064052,43.085638167877406,41.15387670598947,45.97338407707815,47.12948371030081,43.86724843215572,45.52185202087885,49.09220535235019,47.37775452425721,48.59448112120488,45.877153424198276,48.93693238545593,49.4234517522893,43.75516901757369,44.951458233801496,47.45374756886125,45.28431098657201,41.577500390176176,46.52604811401148,47.0878551360424,41.778664297551984,41.305665692202055,46.40496259951047,45.77713571172652,41.95898048675161,38.55273680702364,41.8337911853472,38.96557852578448,42.02997151166414,37.21544544843974,36.696376610947134,34.02017750802163,33.001168254254715,32.345591578189584,33.72520802040448,32.17724372740343,34.15266401950463,29.49813427788169,30.00661375466284,26.05839602886379,29.966905091458344,32.152417978410476,35.692106472126824,34.062263759452186,30.45200337563295,34.32881119637488,35.72792239424817,30.195646883308676,32.034962278876236,36.81022020849643,37.805885069235444,36.94129225529756,36.90610385343623,39.12635386962523],[37.37676293923712,35.13422317272468,32.652762146984664,28.135457603958685,26.184344322092688,27.71483442103468,24.734692122796577,27.213088736499486,25.637982226758623,21.664058781321998,23.283594836395622,26.881506674364765,22.08478095903456,19.680585338972627,22.21831906073775,22.663812470462744,18.215011951177985,18.618528192619696,15.844013046170996,18.425932274691277,18.85982452416038,21.521700435806107,20.667322617351427,18.358530715368637,17.33571659745444,14.582213773190421,15.168985915892545,14.964468784805995,18.681388186764078,22.202140102299527,24.530349211604072,27.043445300341478,30.568016876734855,31.00391893435874,28.151329204078152,24.132900997498023,25.659197925089874,21.45402334668967,20.0454826853859,24.87476800603281,19.517288482686823,19.455367886767114,23.039440310840984,21.621107810700973,20.584734297114604,19.793154615990826,23.44187615802775,24.25552667399128,22.033736440241636,25.59979847716365,28.766144611837895,30.238658105691012,31.778356358281318,26.764702960617445,31.295887657177854,32.850177908440166,28.496200285054957,27.96253750173963,32.275579898525855,31.621906825350298,27.65786241754592,30.216638674592158,30.1376099287704,29.590166289495947,26.353553884707086,24.825708388467454,21.893938248057335,21.70020908409211,18.664296530203952,20.135298460331022,18.3191847286243,20.80444200291271,22.89798149121072,23.22510050441341,24.659401055495035,29.792243467220064,27.750997340442094,32.04686415648025,30.46821358844692,30.290507918813947,30.5972134074438,29.361756091911015,30.688000065152767,30.1998138904379,26.06287037423981,25.655486012613448,24.93626979534557,28.63401396153504,25.87348416829022,31.069832441014096,28.39825952431111,31.194627507765095,29.849716631672447,30.354254701845157,27.17628589810329,29.061738363664144,26.29135486504444,29.161996597923544,29.24105793108489,34.02685704042433,30.96575757152709,32.99632968511678,30.36351645852403,31.321116295599815,31.643762000804617,29.92981956290739,33.86841352452566,32.92532799602427,31.793404472220956,31.66484415349647,28.904180623006503,25.009161987791796,23.46531683581908,19.604815479395075,17.513889081812874,14.321178313207575,13.266609113221657,10.011769244997293,11.37262321910693,14.28949506816095,12.759800048438501,14.32389355904213,12.279366449729288,15.1615719375359,18.769380726268313,18.9499610924505,24.93848739899665,23.657112114709616,26.572319035489446,27.788410682373016,28.409299888612694,31.905464585198533,29.15753694072998,29.871889867726022,25.220394911424727,22.156764110941584,22.904078244520086,18.272483613411268,14.92963453186666,14.220224020685269,10.246083056517804,10.893370246056529,11.185254854326478,12.713270618131371,15.20640263310097,17.157016325663058,16.435243466139596,19.827172914028335,22.71080545969284,24.039617146211413,28.279532950171916,29.78484846854274,34.28608004038052,37.01265560046918,34.94437773178938,32.91070016616961,28.90914581840826,29.604902593875096,26.290276955472017,26.71691528865548,22.60659566100052,21.172270083967334,17.37216990306553,20.162859205712447,20.086261609476022,17.26372696546918,21.757096567616944,22.241978604468933,23.092780333006967,19.5572167608979,21.24639420597036,18.756017124019774,21.513062922462932,23.449810340867685,24.67907897053919,27.959609014827894,26.301634547854906,31.09552623057488,27.95420138670741,30.16951723284181,26.48777076700633,27.761000053466226,29.730166733769643,30.38835663030966,26.788367299474103,26.44745725217309,23.78923289778514,26.668862972796788,22.426201485094143,26.188218289721235,27.329503817024488,26.2438939585076,27.668614238178314,27.992514976739503,30.448234427971276,32.970249442753556,30.576363287777294,34.046520120187594,34.554157547317836,34.00584242115245,38.63512878342746,38.12000192361452,34.40762952231578,36.73832414672127,40.45730734384476,37.692437959405076,35.18929256603544,39.95719761343392,42.505624502341306,38.221990812460845,39.803087739897094,43.43321466610476,41.494184791081445,39.32212866356041,43.317364634917475,41.66023047120839,47.01336212739761,44.59882219801102,44.22187470178638,47.92976961574569,50.720176913351864,54.92403522456581,54.78529434858817,54.761239970237035,52.1513501373311,52.673283468193574,48.90068797411235,51.50896704986147,51.69808559937798,45.61730545901447,46.362823782736974,49.35843224424463,46.1542960267669,42.704085259571656,43.34432062161494,44.612707953756036,41.85430784901826,37.36747453551793,38.201474617747415,38.28773239054627,42.01464091251429,43.773560629996425,44.88137692494915,48.7863601257598,44.87714971564882,42.021279445322634,46.42246294665025,46.30313621775762,41.45584151514154,42.6010626584241,45.80609954978615,44.361999746442194,42.45144057569898,47.232157961368976,48.39793121303826,45.16146219133614,46.802444742745166,50.34819646640246,48.623670775521205,49.8114101712566,47.08290719713793,50.09199126350599,50.6088547754145,44.97526879339408,46.10685367580395,48.58839681430041,46.454282389597594,42.72759680500353,47.589147439089054,48.17303563111275,42.90646107682589,42.36631012120539,47.40375108926447,46.80713239528782,43.023839165735446,39.69970310387588,42.8810573937795,40.08346223085451,43.18758905247165,38.442417894651896,37.962840912594935,35.356139893505066,34.304037173412354,33.62079693937813,34.91494897211263,33.37039355799522,35.362905879235015,30.811262570026884,31.26583996997138,27.445656395226628,31.358710120958268,33.50719597233329,37.014492217187744,35.40326248284366,31.81892273330992,35.69033849424474,37.05213003830715,31.550698123525244,33.41874679403474,38.19471484644432,39.119476758429045,38.263848888435504,38.21257293458342,40.373263425188384]],"stdvs":[[0.5642582888362535,0.6184600951644608,0.687801529395643,0.5410276547442892,0.6621868433217312,0.6183184602354991,0.6790656266553258,0.7226054530746355,0.7645826812280251,0.8528498006042229,0.9169571216831162,0.9084456514398122,0.9947943992544179,0.9333991311907418,0.9791682554550062,1.0144355180939806,1.015320489688562,1.051102793005714,1.0982863598079435,1.1429589589560647,1.1799058969785816,1.2254996448681603,1.3843524440306736,1.3663715736742477,1.3587502094042085,1.1712504235105996,1.1469677731661725,1.0833480094336203,1.070618904553294,1.032143628098773,1.0535068277693913,1.006559150006633,1.0413536902527372,1.0578322814119094,1.0584362835812668,1.0861644767102498,1.0279048933587174,1.1273476614182683,1.077476111573843,1.0275053845943392,1.1620808953634123,1.1932572083547666,1.136937123093765,1.2007836483988021,1.715726117236396,1.9606044475444935,2.0301860862577588,1.3435299200310304,1.2276971890422008,1.5637194551471207,1.203286137586985,1.6007621121396696,1.1305549356160831,1.5778351438955716,2.669616623960522,1.4389962219141632,1.3276487260888807,2.4116390508302614,2.1496987835577643,1.5308005398738018,1.304803601452002,1.3224374651825825,1.2784401679414688,1.2345944760773415,1.2515451942254305,1.1599406944716393,1.2171492154712564,1.1022052636516795,1.1233459293557502,1.0510570252118125,1.125084356784722,1.2726859207489813,1.1241331415084603,1.2568509700134087,1.1176456185177146,1.2713027297886943,1.1202655414568594,1.130229011273452,1.0926408735027349,1.1478097550696826,1.1135263215845863,1.1673234341471708,1.0833156282369483,1.1458884075776654,1.0278432198748193,1.0110009361992138,1.0806980894080371,1.143310364131519,1.1036191152020212,1.0554208273653731,1.1192644265899694,1.2314318014065864,1.1505506924901736,1.0753387135580132,1.0278368337224213,1.0385693371785663,1.099716036170648,1.0059201073826989,0.955153182817124,0.8734479262273948,0.9397890485977415,0.8791675097596509,0.9161906070471937,0.7714074212454707,0.844844304066481,0.7507727785345149,0.7252924898733422,0.7244640425238371,0.49616764619493353,0.6469807395845338,0.5549810950757539,0.6887710034163307,0.7326655716343818,0.7733983791843865,0.9054535462715765,0.9094742890206573,1.0034152769064555,0.9822126985390779,1.0356012031405615,1.0146923925283802,0.9836995811469332,0.9395267311131669,0.8625040177321646,0.826533048824723,0.78200203705652,0.759612277243681,0.7867065775373115,0.6488285466631731,0.49680862854045177,0.5586543364289764,0.4281183422699547,0.44703316808900045,0.4644887580017057,0.5036081700173755,0.47410952876708323,0.5644609711885935,0.498462317017961,0.5314742631700673,0.7217316460224049,1.0394960180684714,1.0201858839831828,1.1964872460281717,1.1251436804788633,1.1432782908984114,1.1277867714757646,1.0554247786483877,1.018415566816451,0.9389735196655887,0.839091209986405,0.8340887399882354,0.7361190113388842,0.7836885517918015,0.8689655301482118,1.0713357703164084,1.0794646431002841,0.7972348384042637,0.8506688606202911,0.784388188135102,0.8682784954162975,0.850515581465394,0.8285562051385701,0.9483805081580677,0.981278372522993,0.9478816162950487,0.8362624761068843,0.7280448750427583,0.6051032004237628,0.7046987821005014,0.6102789563182589,0.5378229464108492,0.5115679695375489,0.7782310221774734,0.7700543361304856,0.7945677026243524,0.8580213561168543,0.8410915444069117,0.9237004938119544,0.910139320510183,0.9532642400899287,0.8436709303348712,0.8137077495524496,0.7361235168983397,0.6940602321293815,0.6955008932232665,0.6950694730687035,0.8937302381593726,1.1312036912865402,1.1238265070413045,1.9576201301214726,1.1407697706102784,1.0953386054965042,1.097655906400341,0.870921202539688,0.7780758116195885,0.6534449719889748,0.7408626675153653,0.7000525271881529,0.6930027396808538,0.6375196175696493,0.5812590467345196,0.5712053691934077,0.5236991342327828,0.47713861917491873,0.5360912733211919,0.5052858416236421,0.5131215757511202,0.6605170711699166,0.650134245301756,0.5237319917742318,0.6249749566283075,0.7140598080659913,0.6644960441397793,0.6342444389883234,0.788386271919964,0.8856063581653769,0.985169285953285,0.8732793781574857,0.9602504908199452,0.8240408669280387,0.7780383423227947,0.8139618716857315,1.4689345090188004,1.1819354177172592,1.0810040063133002,1.1026058200693323,0.7904340356497326,0.7659338138304169,0.8333014167800831,0.7998774235373028,0.8181751604051581,0.7977917456791406,0.9676452660703116,0.8288741059798832,0.7893651876160743,1.3013701502071908,1.1752237996121302,1.0077379808177038,1.1184805801616673,0.7119972814342114,0.8663720934133913,0.751842372122335,0.7042313610628331,0.8904527604191226,0.8495819404966595,0.9532539757399917,0.801106690864363,0.7912797726737607,0.7683909823971458,0.6841209665201944,0.5265503588578117,0.5526119006949431,0.6632330202977873,0.5566631304325582,0.5745109205318165,0.5789941975728984,0.8143900696782971,0.6117960321968305,0.553450130447225,0.5711396806013035,0.5605197939935433,0.5760428118999723,0.6865992743202394,0.6269315024918705,0.6185163617463403,0.6271842548248934,0.6966308945441676,0.7372125318980466,0.7139124769732064,0.843694992145363,0.9738084341945091,0.9015797614602098,0.8711718484375728,1.0511284571434014,1.2461114715351254,1.1593713960150132,1.0752233084359282,1.6453550752972346,1.8018235392964683,1.1580846592737013,1.1400691816385806,0.9369568014677612,0.888275629595117,1.204866689406226,1.0765449254017025,1.1250930673731707,1.0501616590115357,0.778737633545084,0.613653005950361,0.4948287842298811,0.4522920414279127,0.7992326346018274,0.5063397202745836,0.5447630899440662,1.0444234930626908,0.6295782317654931,0.8514851037599497,0.6850663502428848,0.6763491628039435,0.6326330537957638,0.9064398930998362,0.7266014133354279,2.579431524711752,2.939069142138394,3.528257335405965],[0.5771517557776528,0.6307357199942607,0.7041343725441744,0.5519748633452233,0.7081035371676953,0.5934804909491374,0.6056286650237395,0.6191991160727074,0.5872725892291831,0.5660662072026583,0.5974219508830252,0.6110584940488866,0.6355456792383195,0.536676354252499,0.5647027857851163,0.5677807532535925,0.5403416312987801,0.513966190647264,0.5737989506683974,0.6057655545537567,0.6685287810123299,0.7487752490439599,0.9947225083881609,1.0080792949090345,0.9711970967066225,0.697953584059867,0.6026710360198927,0.5127304659854877,0.5279065651520918,0.5524804771214797,0.5562766067379464,0.5482611858108801,0.578213572707027,0.552554865667663,0.5597400569713018,0.5647065082885622,0.5708683699102877,0.6482333967404531,0.5692706538804027,0.6417937998170663,0.7461960257247652,0.7106567321365982,0.709406091382633,0.8820081294710425,1.4908597511027866,1.8167803778732752,1.9082935433201895,1.1327137799821114,1.0645466503118812,1.4423455033547226,1.0835565736529515,1.6110763465081444,1.080511638785389,1.3028738152818002,2.4671655587857027,1.200880524104182,0.957243313054803,2.0324118749513826,1.8629941733881026,1.2101768543202145,0.9009160520396952,0.8879475522236914,0.8371324399206587,0.7680062171272484,0.7769319216503054,0.6852708980396834,0.722268831742985,0.5466427717899652,0.6353741366933862,0.5654831575238676,0.7648349253487721,0.9715398342850599,0.6820826551630251,0.8341082119842569,0.6252297902635636,0.8366238844229685,0.5775541328004095,0.5747490880052009,0.579822417020884,0.6743243715511665,0.6458694466521014,0.7442680852220793,0.8300781804793634,0.8577711977162829,0.7214215073997705,0.5863933090983542,0.588441913644774,0.743454669077407,0.577517690869721,0.5507568515604838,0.5812989997020698,0.7572926695734388,0.6508051953473479,0.5843216537536716,0.5713691379115768,0.615931772863257,0.7430151273006939,0.59439556413378,0.5871977304754822,0.6018878492604539,0.5588932640126568,0.6365738184554683,0.5966866204262999,0.6017881439981925,0.6689948638997075,0.6573876064365726,0.7215155432552621,0.8053014129388111,0.5312650332939568,0.633975277044757,0.5616125740695294,0.5904271858075101,0.6012957846551346,0.5430526518619792,0.5522753851148674,0.5100116398525133,0.5357990368288104,0.4573953540611215,0.5380357473771257,0.4910105124839336,0.5264558687777414,0.517527632108319,0.5074952314129506,0.5179900303517959,0.5588268273559737,0.6037777332426147,0.7971048159547999,0.6199754406736371,0.49829966416768906,0.5126812318411689,0.4638245351733234,0.48755397372609377,0.5215335406391843,0.4872745970492566,0.4855824433876713,0.48528349391097525,0.5316212328670281,0.4384299632045469,0.43802039104744345,0.5578923977128415,0.45834299572150095,0.7533692897581055,0.5549095339904266,0.5454236838540261,0.6091645941469898,0.5346327748488638,0.5331064254779935,0.5577808109118808,0.5637982450086796,0.6157684393841363,0.6040106712792737,0.6130369686916792,0.7328007047968151,0.9821204981726049,0.9767287245893466,0.5887294516838437,0.5974769599462441,0.5818336215463903,0.5541794046739886,0.6127039054507486,0.5451314360292094,0.534809892774168,0.5214609090288995,0.5312210747539404,0.5354985096342755,0.5347140549250256,0.636210024851689,0.7981912505659698,0.6885254819959241,0.6852542078921399,0.5810337426381625,0.5477946801333133,0.5199078456573061,0.5064589841909949,0.5182316284982016,0.5456355544272732,0.5554187433151441,0.5954787874294475,0.6232489273324505,0.5881609954185956,0.5816844968045733,0.5479118683632568,0.5626473498667866,0.6115721709154693,0.5795395874095743,0.694750572179664,0.8841217368330505,0.9985717158386987,1.937621078794977,1.0492328643051707,1.0943512390766426,0.9338583043723648,0.8745018590396333,0.8126895970390388,0.6799945401985276,0.7518157948329894,0.6480790397588845,0.612692310053586,0.5410109859985871,0.5434304660516864,0.48715797570963376,0.4803926382275758,0.4744326556708755,0.46288964532309373,0.4548004076422285,0.5146478235222545,0.6142277530712478,0.5863263490916213,0.513671295038439,0.6422160942861007,0.6932622981897757,0.6557710915974367,0.6619624197337074,0.7953153123863301,0.8517978329108745,0.927905985990423,0.8258166592698621,0.8176876549772049,0.6919017275669518,0.6626062519413223,0.6544345306751609,1.3783557489045408,1.0333056897326098,1.0379951834813974,1.005864723976554,0.6702554525343295,0.6898074091893394,0.7248922998542288,0.7245674353564138,0.7162875892417355,0.6713983661556963,0.8204811361688722,0.6801759689590056,0.6559077495021022,1.224116309698077,1.0109654729631374,0.8228474740450207,1.0249730193976831,0.5805115714604702,0.7754457639538749,0.669525472323933,0.6267052031845235,0.8079930745755107,0.7543724409219221,0.8632754346786127,0.7194259498066861,0.7259840480284676,0.6892702078917556,0.6428992587176536,0.5160712678428512,0.5593494743731264,0.6895952811852352,0.5805903619385696,0.5659973585961192,0.6020057053894026,0.8526902459203316,0.6250353200791007,0.5531154808660059,0.5424059175267725,0.5259113619456897,0.5456121716106856,0.6228850586953808,0.537820002295904,0.5346782847088659,0.534780366073857,0.5587286469411895,0.6005669340096882,0.5677408137197808,0.675911873407151,0.7781436006324529,0.6939637605596414,0.6784299078648325,0.8241958296447612,1.0381863005146603,0.9261888549060422,0.8400812201842197,1.348053828218809,1.5421184940249026,0.9221989245727584,0.9683679347175508,0.8216119652714851,0.8421881340171874,1.1060992302616515,0.9225154005088627,0.8824946325407054,0.8124233752149645,0.6009087387359305,0.5501052274788479,0.4519887834644083,0.4734596734769676,0.8372287852347404,0.5119434587010342,0.5616410716607123,1.020071877860062,0.6588243610421708,0.8683358383113706,0.6821189750354631,0.6662341322659497,0.6618156392753813,0.9712335532902375,0.6514195005261844,2.417368096526056,2.66802832753364,3.2639587252824236],[0.9384765030541842,0.9833197540623351,1.1708465225380085,0.9241353409316987,0.9613561386454339,0.8662687212228437,0.8252169536407209,0.797912137528834,0.7511506978769791,0.5741410363896698,0.5509974379790221,0.589553910359668,0.507532754463998,0.47212365439648757,0.5226942024494518,0.4721613933754161,0.45828486325466405,0.5052271055884333,0.7099133459228189,0.6710170447904128,0.8477242037815778,0.8891768828806665,1.206994023272069,1.2834602091712164,1.2087392092673248,0.9267222673326714,0.704988653372052,0.5210707742251433,0.4616465639594647,0.3968762494031216,0.4713558937210941,0.4076344694310937,0.4512251891369155,0.43541088622033675,0.4272193001221774,0.4871061161884795,0.39571694420849984,0.5331254145037019,0.48328153543095814,0.5308288002184154,0.7584801425844881,0.7670599528425752,0.7598287606869124,0.9395279493290467,1.5673616678593554,1.8699315311239786,1.9646949252202313,1.1776797516813642,1.1655343353646022,1.5272472088733948,1.1822968626102452,1.7601088216811756,1.2059494401757596,1.2327530583838309,2.346837026789274,1.1407466860038729,0.9340981861260509,1.8172514318351165,1.7332223220210126,1.228198413835392,0.9631301120542596,0.9395634825081344,0.8484312216220716,0.8509014806814172,0.8490741203996878,0.7888926548003937,0.8794597431089984,0.6076868723888909,0.7120563483039156,0.648148877892778,0.88451841717206,1.0304326347837882,0.7709755022836123,0.9097390979537683,0.6799996561236764,0.8832499412816569,0.6022204174068025,0.5651795827447,0.5888272348187309,0.6532668475261756,0.501710966333842,0.6098274007031558,0.7952719699794707,0.6981631176161097,0.6079068573157457,0.4419017081076561,0.5109567275130333,0.5299303739402975,0.5584469945319033,0.5163982958974719,0.5247297999297348,0.7820147220989532,0.6297003986813409,0.4872729671705031,0.48743680154401064,0.5889226083575315,0.6945857927657141,0.5070676656918576,0.4908138195677705,0.594792896641504,0.4681504150994786,0.6071197816567835,0.4568473766994675,0.6083861317505347,0.6465142328196609,0.6748424802136069,0.7522267524253289,0.8693454187712693,0.7778235170514401,0.7813102527526121,0.7988354212713993,0.6247071911012798,0.656032668890546,0.47036849763629646,0.4308637377919234,0.4134670738862424,0.5357175924382497,0.6348628941407916,0.7071842094452946,0.564364863527322,0.600075066650832,0.5207163364013915,0.5778656955732833,0.46186719223581324,0.5820375196728184,0.5956780219571495,1.0058651071753926,0.7037753658352155,0.7113614008800412,0.6143961070243636,0.7391878580913782,0.7191347078848394,0.6350314066996233,0.5626242813487027,0.5573771442115245,0.501749874796125,0.7764940688329112,0.488806074505329,0.3605434191364574,0.43262864043574906,0.7688283769875514,0.8739631565198475,0.7402977659816485,0.5641260893595749,0.6112162566656282,0.4245413874811328,0.39948296829729896,0.3911663787454654,0.4486429903754249,0.6395745599045602,0.705260329962358,0.7570019064049484,0.8968528871362706,1.0953035294005184,1.0613474807476257,0.6198454369382,0.5595958795929834,0.5943243842763034,0.4361353424124177,0.5228866437757466,0.4106140439470146,0.3696329810664574,0.3893040925068069,0.4529890306210603,0.5126375161974794,0.6371239167420315,0.6351168857082837,0.8486811387257635,0.8212202175191728,0.7701288097767532,0.6126117617340244,0.45915167196580536,0.4450422015075662,0.41464918438848386,0.376091073950964,0.41413412775848846,0.4070962492255124,0.4828317402939254,0.4668798373610661,0.46959500628714507,0.49163168606428354,0.47497015770247325,0.5456742174968693,0.6259565091345413,0.5677177753537598,0.6816814134780488,0.8132752358341063,1.0097058294052306,1.9826746320991728,1.0749240469037786,1.0900470110977791,0.9250191025485964,0.8680262286692474,0.8370918350411105,0.7591670578780125,0.9008055917554132,0.8497835020582003,0.8567199043493218,0.8803220978786568,0.9107549257692842,0.8677863209911391,0.8437718980560399,0.8712598964573446,0.9005793641493308,0.9051263413434842,0.9571341030863613,1.0277287881344626,1.002026698021967,0.9811376825320067,1.063047032361552,1.1021897395727769,1.0877620311703498,1.119692361331885,1.1783176049854505,1.2006579059381202,1.2624277837230826,1.1874404804728913,1.1138761363788368,1.0454727094673684,1.0254951038434759,0.9225674019303811,1.3312384421237609,1.0894914582256183,1.5283990881691651,1.2233970337107964,0.9255093732214686,0.9698165090162301,0.9583545062028828,1.0689481417356113,0.9794555668344668,0.90655452752653,1.048014577701173,0.998313695313356,0.9351096385548532,1.3266880379431556,1.2030936828467589,1.069433844939343,1.213650771016109,0.9123240973266399,0.9668002160857784,0.8850016313806001,0.8715662304037689,0.8902379650948139,0.9052816703275172,0.9176099938845536,0.8536562421503554,0.9222172873681823,0.902488793888125,0.9091072090685686,0.9012578382730769,0.9403990180499255,1.0118949727148387,0.9835951892605465,0.9895629969163179,1.0201429446854455,1.2429517724754577,1.1013083870522213,1.0386286158119875,1.0182887671676426,0.9842255153411085,0.9672241272892504,0.9784173528517488,0.9701283873419464,0.9571399945278211,0.9469286220440626,0.9543955629518228,0.9932633317955484,0.9424771980332332,0.9723738734223404,1.09138338070802,0.9975007363722219,0.9740824569943913,1.0341853477326295,1.1784409764177053,1.0910595768082627,1.0235200390712016,1.3439725280406314,1.5467982312645518,1.117881516533507,1.205249274207019,1.1414181402390593,1.2015315641592186,1.3741614896661938,1.1648057495070288,1.0629557697202379,0.9473776356062487,0.9002492474201341,0.9043538983991097,0.861517779735721,0.8312287762462475,0.9109612407458987,0.8841762582960805,0.8754921142950749,1.4751304553081266,1.018523922250853,0.9971827456109471,1.0363744580409318,1.0380378332802298,0.903322646826387,1.1413344907921084,1.0178509838326137,2.3698640463653127,2.51419223391979,2.9208828514444214],[0.4585647043896036,0.49858122715260483,0.5572823147907411,0.4187592320105398,0.5687418000371937,0.46788173929315563,0.4502847145925264,0.44951259097770246,0.46818310068964936,0.38533507125259503,0.39376193023711825,0.4394212252506731,0.43360109550032844,0.38865446607891707,0.45335099743172075,0.44801189617011455,0.4302262212605254,0.4332420962336507,0.5206669116421322,0.48924863907544003,0.5324711258202356,0.579816396756394,0.795531942193678,0.7957681365486997,0.7770599582501975,0.5901659208199187,0.5058672716473087,0.428685467745775,0.43935722809773925,0.4074997951567065,0.43400134596261897,0.41479504006494883,0.4269289025735723,0.4210645010858114,0.41298175220910727,0.44168483020904903,0.42705029875627076,0.517275687621973,0.41590950825177103,0.42139710154554827,0.6178464208798977,0.6107001513264123,0.5620253610121958,0.7736615155995313,1.3481637788988414,1.755189325366171,1.7167925367409596,1.0024930521161162,1.0689488721629965,1.2986987771347,1.0259509156497018,1.956041241957629,1.2696595662747594,0.9613706628321643,2.1500611629768778,0.9405518718685499,0.6879164030011089,1.5419406735299037,1.6437524505674643,0.9616407276690065,0.6734356452077598,0.7608452335977144,0.6902059610673831,0.5648749303324349,0.5726778188736932,0.5617601817896692,0.5958713226938316,0.45954389370324233,0.552508373734017,0.519924082376747,0.7793761432929313,0.9281934851024963,0.6910173438708385,0.7855430238889413,0.5726394950971571,0.7309065905616337,0.463301178293165,0.43378270174768635,0.454561729123794,0.49713023680061025,0.49885097799651196,0.5386286426737217,0.8435901217520524,0.5512803445338786,0.510410049922668,0.43615124197684685,0.4540542650764634,0.5329082499216148,0.4315512310476868,0.4655642895515531,0.43049256799878816,0.6402376600339452,0.521943298085175,0.44162753290932366,0.44255775103716843,0.5057616432777317,0.6077399197632806,0.4435632205369837,0.39600436499864183,0.49672237916579176,0.4196250805236522,0.45800815435426073,0.3667401408547543,0.4539872427781848,0.5645855751016533,0.46431524012611236,0.49070649603704164,0.5938608484944681,0.404370843901464,0.478819017163089,0.4059836392046772,0.3683990000271907,0.3692495076007308,0.36356391798930926,0.4005830431247526,0.4215452397343408,0.5171551561137462,0.40321847232131625,0.5173149599351324,0.45019906073481897,0.4454312617184149,0.44011659578950374,0.4625148651349989,0.38054666325878783,0.3564205387548807,0.3182568430488675,0.6174019041517324,0.3856758764105051,0.3525628047812429,0.41872547459610654,0.40218947125017956,0.38720733677743585,0.36514422657698037,0.37219679504433345,0.32613514545710887,0.2984679590099692,0.4534706801732993,0.2779291487780709,0.2833170399588965,0.2613346559283683,0.35775024937028066,0.5661112304294668,0.38816776802161157,0.3784932931795879,0.5136980511188528,0.37751712313256347,0.39590291581845327,0.38704329877000465,0.35310315616369664,0.42480614362448954,0.43262307039200937,0.44536057677350643,0.632878458701166,0.9033348924021379,0.8990787981820283,0.43068556215194587,0.4064424036002659,0.384913264201641,0.37938867504190493,0.4036083550130069,0.34100850309503017,0.37420217745846074,0.33484330453987804,0.3369749747429719,0.33064852333317846,0.526580436999656,0.40393603590863725,0.5736254228509784,0.6003714854539627,0.5868315873280151,0.39307406031159053,0.2589792465054819,0.31770924860393324,0.3584501267535716,0.343427452925096,0.37986359272166825,0.40195291994975757,0.4987178180932717,0.39456990495810207,0.406616934611486,0.413571680614096,0.3695038850032635,0.3854786851665286,0.44919440768619745,0.42036020680308805,0.5445493262159732,0.694240360404763,0.7822191849332975,1.9541191090493493,0.8065448756868051,0.8595527700431735,0.7421249045232988,0.6746566038224193,0.6355697152868304,0.5044055880713629,0.5440574859675347,0.52310465341601,0.4967851807100704,0.43035746191602003,0.49569457694911173,0.34285497480907257,0.3440479725044496,0.30505780472095506,0.27923205769691245,0.29179911815757137,0.3650309266767526,0.4450522795898893,0.41851376651593963,0.39060957934636065,0.5187119169653269,0.5535494962969815,0.5152324762362449,0.5537944663336763,0.6533245194188294,0.695401749103907,0.7712512876468911,0.7210978930904027,0.6341750177892644,0.5147514827279686,0.4807032313971281,0.5260211302187048,1.5976167471655096,0.8894787433099974,1.1039102047497291,0.9925562930081947,0.5881793636396486,0.592828736384699,0.6120968319854668,0.581467287447664,0.5210300198470168,0.5543730500206445,0.6873196530561879,0.5842008682938147,0.5118136156754867,0.9941656434325304,0.8090249050689569,0.7119346810371187,0.9758293730623069,0.4618145293737315,0.6216355563292604,0.5332009944779185,0.5092823228106896,0.7446621868681463,0.6648693233955774,0.8055157417474379,0.6146980987978125,0.5763401546936628,0.6030798603228449,0.5718959895077411,0.39255407381126406,0.4595044199970071,0.6017832256816804,0.46214578630846304,0.44775054600685044,0.5280589565689388,0.7940135387105376,0.5286974071980147,0.460003476688144,0.4384590201598978,0.41454787151320865,0.40988089308176767,0.4985437424960019,0.40782592464932527,0.39475681434405785,0.39452238362775816,0.40115243071492435,0.460654285835722,0.40219965562173715,0.49364441714340157,0.6217421455454168,0.5466914130167865,0.5519065148260184,0.643496716945562,0.8500620965134429,0.7644484601371482,0.691222397988845,1.086823523387552,1.3705289915215604,0.7200618465660077,0.7740663570068997,0.6573959213791062,0.6867463875694196,0.9451955615837644,0.718820895882221,0.6496422993763871,0.675053200344135,0.42295770011343603,0.3485969821075142,0.3048843235489898,0.2100473726898897,0.635885622647482,0.3639759271500264,0.3438306408661829,1.1788318353495086,0.6071015305359123,0.6664402846410238,0.5785852374981691,0.614300596146377,0.5329321066207557,0.7913203597727281,0.6436346078880402,2.3760511677660507,2.5550092736020913,3.0523432525033067],[0.5702589045791745,0.5965705558580015,0.6553674557000245,0.4879083013846801,0.54858642066023,0.4758509688113367,0.4729439485098715,0.4635687623586002,0.5151954536110335,0.40311339778157795,0.4113504504337685,0.46138885942015356,0.3852942225322826,0.3811650952421041,0.4467963321450182,0.42685254756666363,0.42398318790631134,0.42656000487934165,0.5065309301857213,0.4624300515304534,0.5164388804189388,0.5726610245374528,0.7842705184494468,0.7945340176183052,0.7901864766848657,0.6016778906147863,0.4997652230352681,0.4184514814533515,0.42452756162207594,0.3944700394493118,0.424119364779995,0.40007926481913825,0.4036021566101659,0.3989565683982568,0.38829104821860094,0.4244297052215368,0.4041415132977828,0.5069642964513829,0.42441621080586545,0.43287638788081356,0.6328226164813456,0.615478634635096,0.6019124091811555,0.823580451241809,1.4479635961682857,1.8061386287561194,1.8349253830866248,1.0916105589268086,1.1030201870492353,1.374862993938739,1.0255268388564625,1.9283283906424964,1.2160207627248223,0.9989789276835546,2.1180442573195637,0.9089687021621258,0.6934348318558765,1.4500600613036607,1.5735100207735904,0.9869278306543158,0.704646694897544,0.7313067004515806,0.6592146635220912,0.5339877594152767,0.558293771457356,0.5601102686596097,0.5820838453389365,0.44949147633682973,0.5826270798030836,0.562709975950393,0.8171238286332329,0.9990575064740626,0.7473761936324405,0.8153339540571921,0.5836319332976,0.8358444696289618,0.4666177051400304,0.4423125113606493,0.46308801192695553,0.5141594790224576,0.4924037549402597,0.5044257012452844,0.8967831059088518,0.5233747649115496,0.5471886346324507,0.4328970565715361,0.44659747553908097,0.5397848828448225,0.441288157069921,0.44571874342061313,0.4363598939224649,0.6777719930192384,0.5371052184551194,0.4228734071404668,0.4345475010402718,0.5362163948436012,0.6270159907243155,0.45728581294842624,0.42219346242592193,0.5649888227187582,0.3977298711820239,0.4871014390938365,0.3597704275022908,0.4723731595782587,0.6048437418923556,0.4325024773799832,0.5238623336778124,0.620545405819134,0.5039400252632723,0.5504986108813434,0.4135919079137576,0.4072411311981369,0.37175851993221004,0.3970445295006428,0.3627526945987624,0.4132244788568259,0.4800334915234152,0.43551632510037946,0.5408036592610308,0.4529272250804313,0.476774332580902,0.4262762407222835,0.46990475140398613,0.3678544434398327,0.34015482603068686,0.40071737674484725,0.3783278442151357,0.40476866023699715,0.5044375639553197,0.5527048754873988,0.5945151565297233,0.5919187859762864,0.5545449646844892,0.5342446931001167,0.5027198969231679,0.4361194842256753,0.5904780462642361,0.4522955782168654,0.34639721429860365,0.345655948818728,0.510608391903483,0.6055748664560408,0.4498728552072764,0.4514030782379508,0.5211315169849186,0.39015097646383445,0.3987364159693418,0.40554901024707374,0.3472516138904449,0.39161985037152947,0.4441875677960774,0.4577530659037241,0.6610958299378749,0.9931650642185331,1.0767987720024739,0.48520576477864874,0.4039321001162616,0.3955432264869254,0.36999846132674424,0.445885252792223,0.41711222332128567,0.40005022952029745,0.4094405883899701,0.4370594621024245,0.45201327036923694,0.56348171790465,0.5597143184549643,0.7514040912454952,0.7578236954397564,0.7180648853671883,0.5559478470196051,0.42381087362055714,0.4354500427146544,0.4555897360964606,0.40009711553608734,0.43483360197156457,0.41067852463371524,0.5419385790653001,0.45897906130581284,0.48959384819402635,0.49609942045586053,0.45203606552633363,0.49781117855991064,0.5844431560565946,0.5710494271244694,0.6432046259875763,0.7341043267394991,0.8565798235293323,1.9802125013732361,0.931206315830722,0.969998375192687,0.8455558573144929,0.7883924193743238,0.7631308485451113,0.6677740419243856,0.7437666899313964,0.7151138050349415,0.68322623282765,0.6313621246614749,0.6681728256698856,0.5021989909873364,0.5037656680558334,0.47919223793039567,0.4466853674959474,0.45936674386915477,0.5304275562045139,0.5416110075889016,0.5327476841935134,0.5804894461122211,0.6830152694046261,0.6893629920095757,0.6964973761985124,0.7705526949596269,0.8499585185503847,0.873308051158394,0.8762968993741849,0.8760368830823876,0.7181244231960583,0.6241592557653121,0.6249967242777567,0.657390094606594,1.5598544741048883,0.9402272675429123,1.2572237621481313,1.1005806692837519,0.6994318304513626,0.7180214660007864,0.6681679348181138,0.7179382787702921,0.5976504481897037,0.6748431858554514,0.8058137004869335,0.7963756534219077,0.699267787869924,1.014581048304525,1.0176393902625163,0.8925825193693749,1.098467263152116,0.6328442836025234,0.7411618356086086,0.662189514078803,0.633651916904707,0.8387964419976511,0.7473790939723679,0.903904186170996,0.7316538288187919,0.6657956927314079,0.7518744577496175,0.7484742854628285,0.5757378607831526,0.6501282179824569,0.77882197358841,0.6426799649828779,0.6261549001373481,0.740319742620052,0.9395069570777739,0.7136927932226144,0.6690014114580917,0.6285951842753029,0.5691914787978744,0.5480308674592924,0.5961995340868295,0.5571778259172205,0.5535278739083189,0.5208273298279381,0.5391975587635637,0.5833692034971164,0.5085870306910014,0.559597509811395,0.725150690111147,0.617819072863755,0.6997695964843755,0.7382428854379001,0.9843713276105494,0.8522177605904359,0.7603285525595243,1.0384079594981919,1.293160544900567,0.8341324035983949,0.8235277787887467,0.7191086445910736,0.756024379199996,0.9819856609688448,0.6871679238298852,0.7115324332601048,0.7506768494742966,0.5804362853941043,0.5368022758152884,0.5519042471197685,0.525817536689344,0.6008214582497796,0.6849822778678767,0.5905996237321335,1.4650803236499101,0.8683991474199785,0.5605580928940194,0.636182632820238,0.7071342169514292,0.5443728077882437,0.7862990020083482,0.6862392900981267,2.1590345011401646,2.1502883520103846,2.518313708484305],[0.5044929363293541,0.4259584685653366,0.46435407352860697,0.378007119096837,0.5655987968831181,0.4267650959667357,0.35467658274102837,0.3885433455455377,0.44162040548828774,0.3688453722421247,0.3650807640643491,0.4026103190606077,0.3828657526657498,0.36147143742624954,0.4671886309288971,0.447667222651324,0.4210215726470346,0.4210871188824389,0.45584155778014807,0.44690423033742005,0.45525429803490886,0.47993806498914543,0.6709737904548478,0.6688060261048613,0.6734290981763644,0.49216963631572336,0.4143090811318698,0.3788983571193249,0.4176627252834989,0.42256154652165895,0.46767941079877756,0.4199267571312162,0.44571698800553855,0.4384507359643153,0.41366456355775616,0.4465103596480078,0.40041586117208383,0.47737832240249356,0.40671591273721847,0.4520936476922817,0.5652600667836907,0.5452719479652616,0.5387876340494728,0.7544756659071175,1.3065348466680098,1.6396252496874315,1.6734578896305996,1.0156255428343224,1.0645679000857755,1.2933492427007316,0.988162622183097,2.188913825126189,1.254850674546193,0.9521625898584916,1.9472269883211883,0.7424124391386309,0.6823622011329231,1.2467413670625913,1.4088290839281778,0.9121141412669025,0.6390912671600448,0.7017395957992856,0.671296775642914,0.5055954496231919,0.5252048899908889,0.5377969372192767,0.5883105612206261,0.43634729445261045,0.5666235513003982,0.5535122507750129,0.7955108233400002,0.9854210581655068,0.7130314296435042,0.7844295292745077,0.5695673351263569,0.8694158991880848,0.4942993896029843,0.45952878981874673,0.4747668723246739,0.5094161902419141,0.47329059276677127,0.5258630149605547,0.9034631159170915,0.4886330491798172,0.5472747556051716,0.415328021874229,0.4352760258959749,0.551363629040095,0.4571877199749038,0.4787554829447946,0.46950571843966904,0.7244465360841356,0.5984135084908945,0.4750495100551531,0.46731729122895843,0.5666589888493825,0.6501644409853458,0.4661864495200186,0.4153833284885454,0.5045987085973452,0.4240108990413964,0.508734828807043,0.403801936588044,0.4744030554283715,0.6397432055411886,0.47696492082776903,0.513029446791474,0.6583214750776091,0.5557987978134833,0.5874411043593059,0.4165070514183517,0.4526407822010058,0.40919330867689035,0.4109487174072702,0.3615353934414549,0.385498669559888,0.47141735423668796,0.3746351586500676,0.49283898140116417,0.43085655942879997,0.4434873463719526,0.4117840785664552,0.39888298134735156,0.3220167898659035,0.2654864472285999,0.2984398605024577,0.31377122684536624,0.42085206967090355,0.5408345141238432,0.6090063378691848,0.5819156123591189,0.5817186362322846,0.5229178770208724,0.5664473192979751,0.49576497944315706,0.4801774295168624,0.6381551228009689,0.48873367855290323,0.48905209024867125,0.37287077052226203,0.6888514673087494,0.6645859052478321,0.4039190212815469,0.4314055462405488,0.44606899577918485,0.3769404661005789,0.37841080953783807,0.4136357528619638,0.3809984509528872,0.3797857731469186,0.4123063247458139,0.4427640475901908,0.6116268617669532,0.9603117202394169,1.1152193583146972,0.45762531179716365,0.4071419464735063,0.39401990774734,0.3877886864062936,0.44569539793452584,0.49429561640617664,0.407038687653882,0.37760069907205324,0.4109684681258295,0.43075501673764466,0.5722381971952348,0.5283900311728503,0.703272615188024,0.6810862353643841,0.6646814861487769,0.5402225191889546,0.44207071568663214,0.44578892077998905,0.4354937825951478,0.39125432194358645,0.4562973935717298,0.4302382093678029,0.5068504624050425,0.44003542105021265,0.44403767031627767,0.48790977361639654,0.4915907921654978,0.5063199014035092,0.538166124536007,0.5143537321508121,0.6219113550729138,0.7810421086896516,0.8558830027126881,1.947946018405333,0.8902902671770363,0.9804667572621968,0.8900453837449857,0.7758456368729376,0.7390860610946384,0.6322605515154837,0.6529536683879553,0.6330537728826859,0.6463664864004686,0.6107543194450713,0.6675778979828818,0.5534565827733247,0.5607359198091646,0.5215735043416095,0.4911004873982729,0.4938472235039333,0.5326739719201083,0.5544104964454298,0.5011896773828034,0.5454289399342014,0.5856348267795239,0.588843032433272,0.586127757843313,0.6513426680438764,0.6973411935659182,0.734462285852354,0.7829344884339219,0.7995959929396828,0.6830230252847326,0.5844511384060705,0.5695409117909046,0.6526047618252563,1.7968355067899004,0.9797087890050377,1.2110332924775749,1.0759547404736862,0.74951244383398,0.7732419060276904,0.7726906183043258,0.7454206814813528,0.6749265859776956,0.6948559153537486,0.7954552959866412,0.7555405067290915,0.6713187332387439,1.0824705269610777,0.9346189650663963,0.8403463746360184,1.070549007383169,0.6289541957754059,0.7147527809971795,0.7125816891057839,0.7142134486261768,0.9137688073428415,0.8596185348267645,1.0245489142968518,0.8000215200970439,0.726005629592867,0.823995351176725,0.7665743456694329,0.5813457516245325,0.6422029762569282,0.7606069355256107,0.5901432218715212,0.5809246243128233,0.7036617933568585,0.8526863869414127,0.6475969342810897,0.604924973947567,0.5899469752183373,0.5644518662532594,0.5608078448265338,0.618747210556514,0.5562074104149458,0.5497181877921856,0.5581146629456981,0.534287158504147,0.5635712380765344,0.523044372751571,0.5905084504934516,0.7116559506144774,0.6337127780835972,0.6643773336265726,0.7311051818847676,0.9536076107126594,0.8468398763438397,0.7500891456664391,1.0333770893540142,1.2877951730702124,0.7959649244351688,0.7978157057148277,0.697360176100857,0.6644461879510629,0.9205625903142108,0.7084879010280184,0.7211341080564831,0.7500267578137269,0.6003372793581604,0.5531596956716481,0.5483111750117389,0.5490238614824468,0.6631801212195737,0.5795122388945751,0.5268412247748789,1.5699315790938528,0.6145897661174703,0.46407950961403216,0.6710434730672408,0.6431658814839591,0.5065751989774168,0.5778116572467649,1.0854091319637547,2.9104596466225416,3.1843657043418108,3.4782673449898858],[0.473337015147123,0.37970823035545975,0.3613724198665924,0.29853717629914056,0.5150912695697241,0.39044897121256195,0.30454324266852495,0.3141236352158617,0.4032882374993103,0.2883350932735744,0.29746714924642265,0.36686404910934867,0.2747647709862465,0.28311198855415315,0.37236062993321156,0.3431303985187611,0.29151224094183936,0.28588645325898593,0.32563597099804026,0.3203336817309816,0.3374092007807373,0.3778187079517275,0.5782897909974635,0.5789070806585896,0.6008862923678734,0.4108909283628258,0.3053729065290215,0.24457623714602827,0.2785386587531556,0.28622875013701954,0.3650957602061593,0.33086856498778794,0.36414857417645974,0.34328496509148504,0.29476486704392124,0.3122648205671842,0.28880750296229113,0.34751113273571815,0.26878130848749004,0.33439932263797617,0.5013498062977504,0.4549387668402279,0.42857522175030227,0.6567453693247135,1.1607391840186714,1.5117143066472043,1.5309533438396903,0.9079548359733182,1.012197722012781,1.198257204231502,0.9071255104372647,2.337611713857522,1.3040285462942844,0.8349052194235804,1.7589223482120047,0.5767474308800943,0.6833733847327604,0.9472688871031655,1.245943266364768,0.8393960240055738,0.5369026349635623,0.661771432172729,0.6321450083256238,0.4492002610757972,0.4287571750466087,0.44480411875186515,0.5364987227952881,0.34959650275090215,0.49918435500293357,0.4640298254184548,0.7588486338538665,0.9570804707281864,0.6668993623727907,0.7305751495512818,0.47630477434972157,0.852893241738044,0.3719667379220377,0.3500271240188565,0.3464856865542111,0.36999431401898397,0.3685656770705894,0.4582927263197436,0.9197904747367893,0.35276029726888886,0.47385266110484464,0.3005189114751985,0.3218175642688592,0.45724053954348415,0.3082084041181796,0.39755968560777494,0.36139468221992826,0.6505248438214084,0.5015912790516451,0.3959279105599718,0.38180074961721533,0.5126649297894348,0.580650945783275,0.40855280814611095,0.3613551142280221,0.5279169267679052,0.3522688082428555,0.4379535665104231,0.28507724650208927,0.35527445855992995,0.4527283186928051,0.38623953452421256,0.4501857886624224,0.4702693327889739,0.38640279186110127,0.5126325240433364,0.2895149810446602,0.2873745174204567,0.2788879430710926,0.21860875487547818,0.2059358802431036,0.20181053659215115,0.33545157754134713,0.30515070696928015,0.41356382892238047,0.30601015668516374,0.30602254112126265,0.26179508520424355,0.21436420122955607,0.14095510752175464,0.16043389820974951,0.22561818100707265,0.24094313633302158,0.2606015515460884,0.33522287322549554,0.4058049174376049,0.41147901065042625,0.419862451542701,0.3634996028061316,0.41903035290846774,0.35675027917129887,0.3381761096600441,0.5734324109082382,0.4021559360835582,0.5219098233778473,0.36297930668470985,0.6875369806693089,0.6294400578176299,0.37963527624322635,0.3794284915288154,0.32053997405684576,0.24641290353165762,0.22980557701615129,0.2640284850415316,0.22758763913959515,0.2830056326265139,0.3342096659763601,0.42450249516950966,0.6445657545016288,1.0806136548471321,1.1980137585643647,0.40691421154508123,0.32603211899326245,0.29110247124614413,0.2794295059739357,0.3175760105458301,0.335152375268285,0.2613648283190876,0.26212891930321675,0.3063598906081768,0.3539008126808716,0.5409692955860798,0.47210161560814756,0.6639453508352554,0.6442478497122734,0.6410431914529244,0.4739867113383755,0.38313427171280945,0.3691192287212921,0.31452469839138086,0.25585627437941894,0.3221527848228826,0.3066937131741668,0.4527959467725366,0.31714992696217986,0.3239334856225485,0.38079647419172136,0.3277500474891092,0.35778198751115653,0.40548504628033316,0.409885997939143,0.5791278709572998,0.7188921306002732,0.791708531221327,1.9003191177729148,0.8004298304947766,0.980008873692922,0.8289262525353501,0.6910205096304174,0.6235086700716275,0.49136074731866936,0.5112254721602405,0.550465452847837,0.4980862624684096,0.49764312824826734,0.5575352548138129,0.42220728767576077,0.442455213534053,0.4060767305032033,0.3850092420480191,0.38930650183890647,0.429660955610219,0.49560799937782735,0.41820623026834175,0.46611104106799023,0.4938379658889455,0.496508818045064,0.5005101923841231,0.5775885467357316,0.5846294847058879,0.6305177749436292,0.7087079578518437,0.758917329500564,0.6242415800235831,0.4853313521056698,0.47012531958370996,0.5469521031118016,1.880475645558887,0.9114888588011291,1.26925474111297,0.9828272292357269,0.6430161523900965,0.671868018976198,0.6777989875269658,0.6273250789147998,0.5284105418019727,0.5806025305571746,0.6653731493945685,0.6811135352590304,0.5609010469228217,0.9760488836058588,0.8234244585814756,0.7775012072610438,1.0230019689938996,0.5442757813646062,0.5852486397271298,0.5886400688571664,0.6185004218804344,0.850878915990542,0.8184292962625715,0.9625909885362025,0.7217116121872256,0.6149372125060467,0.761899169134571,0.7140635984328775,0.5048516011571228,0.6147517067862862,0.7416422987756524,0.5387338045427712,0.528435645140549,0.6888041097428339,0.8271545959410965,0.6025432503901474,0.5610767915551078,0.5131895717893491,0.4729928793597713,0.45597616108832917,0.5265201802138096,0.451881065384485,0.44854207726535816,0.4779447506144186,0.4373948115907375,0.47598742664853416,0.43118902834914463,0.49873284323487405,0.6307912304900312,0.5625359415878233,0.6128492321721288,0.6511149661402844,0.8777419070524521,0.7817398969145153,0.6968889477456714,0.9328200577257596,1.1890320240314947,0.7784429338832867,0.7080156918485413,0.6136388981646237,0.5552973122590129,0.8380586027607069,0.6218415065600578,0.6745759702029012,0.724997412587739,0.5427285151895367,0.48241741729512744,0.45048855808652866,0.4483728500126984,0.5841676604725179,0.4852489400387666,0.5073462484004202,1.6309653441873606,0.46179692290208824,0.43940103020601523,0.7060569399949267,0.5444042130886508,0.4475843517306009,0.6078024610700495,1.153473189609776,2.991721738316126,3.29294619607382,3.547866672539657],[0.5331741784853472,0.4606610058117644,0.4244336754400513,0.3582771770804744,0.5446230610122778,0.4163288777550354,0.33164108765011807,0.294357174269749,0.31389183228100687,0.25249588496768305,0.2928205637712366,0.34931960529998896,0.3043659870682527,0.3227843300575721,0.43728852353285613,0.3581148409121277,0.3700070037323099,0.3832385444500554,0.4275483441822561,0.4397704061047901,0.48710420926062564,0.5027993322683674,0.6733570207669377,0.7002168646947906,0.6903432126392791,0.5630777783666684,0.4438017835157486,0.386799626740206,0.38374770092853544,0.37591814049081973,0.4106789549412534,0.35077517259079993,0.44436773200860924,0.4251927115141769,0.36569133763382267,0.4008437647402994,0.37505760762021556,0.4259684304414683,0.40222092972904866,0.44806814841779885,0.5702228126513692,0.5428777440815163,0.5407141129131715,0.7762409451518051,1.219057637288457,1.5088119563876379,1.6051119219573327,1.0339901567751515,1.105194410007284,1.2838925856933625,1.007964075434292,2.3975704269994202,1.315785451214964,0.935736441669107,1.689857113762623,0.6090965495637117,0.7930209831481019,0.891306651414043,1.1478477273141399,0.942619766614346,0.6315335305147246,0.6940827038476461,0.7145662056586848,0.597579961919763,0.5636125424287354,0.5606951912156611,0.6704913466184136,0.4619588006759613,0.6170549933459999,0.5173979756437519,0.7973729446482842,0.9930614527105697,0.7012685697048345,0.8364892006633036,0.5000765892696277,0.9696841608695486,0.47637768503579514,0.4349779184536425,0.4442756358250644,0.5041890950154494,0.4393445205295566,0.549092031243311,0.9784244802589996,0.464909665573783,0.5944883852044772,0.40704336144195125,0.4239106822525117,0.5399647358254395,0.42371812400147046,0.4461449595631271,0.4434573893251532,0.7098781130125386,0.5728787813918204,0.46193673134145175,0.4156930591941154,0.5635628412266072,0.609288853338069,0.45724896239771096,0.39702113007262385,0.5929053671046397,0.36567321305044,0.455212078499991,0.3016777998187426,0.38586212004947107,0.4727615239948346,0.41487293097005207,0.4732065939633132,0.489160047153902,0.40928862591478116,0.5372234511310764,0.30962999846173067,0.3386542926958544,0.3275913005553899,0.2858442046233985,0.30189812438743857,0.35738792783556494,0.3995931429684882,0.4191493712930764,0.5848103568562049,0.4306935911872093,0.4231864947699844,0.3731551643291144,0.4124333842891798,0.3067290528534472,0.23929079463738626,0.27755990167250516,0.2741040785227083,0.30738922832792237,0.38403315929220094,0.45720763256832003,0.46677212561726683,0.4638982245247755,0.4478980610332398,0.48651104301264764,0.4409344147192351,0.42578642953470536,0.6091895871279664,0.44773824014601826,0.4606981581164181,0.4316227532492771,0.672531317327635,0.7216602566957108,0.516287040259028,0.5085441435536381,0.43129300173887797,0.37830550514512185,0.35682857206791696,0.34905378701257667,0.3055230250823956,0.3156851571616702,0.32391455745687847,0.44996963540589613,0.6792215037935316,1.2264429773909806,1.3325781344830328,0.4543915302349601,0.3578736694711603,0.30862908578492126,0.3134751720656374,0.35358868984253117,0.4231761758629809,0.34819665664805394,0.3789717422145416,0.43890757455643625,0.44625342726903827,0.5820134776507812,0.5437537349248787,0.7294092197374836,0.6740089719304044,0.6523290558804036,0.536759747651585,0.45373631263980574,0.4410774977842894,0.398385690004649,0.35168692707292987,0.39124556555069684,0.38801590510083556,0.5047788394064546,0.4316338336673393,0.41047125103638055,0.4530823501408958,0.394136363391511,0.44182906440232733,0.4834039965117871,0.5043000318309316,0.6595144059572566,0.7796570389682543,0.8860210712717005,1.841181282033694,0.9165262044389535,1.0454884666814386,0.9594726200263306,0.7627398591216907,0.693774115221857,0.5657387366746408,0.5860745827774261,0.5947777256024704,0.5449905419886991,0.523165683463371,0.5685489050319202,0.43561998369338084,0.439209870612807,0.4124030436387217,0.4047597450778302,0.399377934973463,0.43868407143010896,0.5317312960167968,0.4559572688376519,0.4939723606641154,0.5399868707285879,0.5617449134500747,0.5689152128005107,0.6315085651526325,0.6625719549903708,0.7262700944367365,0.7605767291273197,0.833314473756978,0.6862341689096516,0.5387170764015511,0.5210362229099539,0.588958251598281,1.85242326773875,0.9227888816039947,1.3041848857440848,1.019613845414303,0.6679218737415799,0.6780857867105408,0.6872542652240263,0.6201130355063499,0.5456475844756381,0.6042267199060317,0.6976803889819174,0.7086920253645952,0.5943041808469121,1.0031340721001998,0.860333178333846,0.8009090174002791,1.0510909817201108,0.5617386336977644,0.6142726263551735,0.6184910912974592,0.6248040291156131,0.8592567288882321,0.8299504682836274,0.9697533729521705,0.723193650873687,0.6014364047192823,0.7572345540937991,0.706109006514751,0.49734476779081055,0.6229571839052518,0.7499550712577476,0.5595295733868543,0.5553457488905702,0.7299533848293153,0.8604362715139092,0.6372434251439768,0.6008899650085174,0.5458055050596301,0.4965877056603591,0.4693209448661992,0.5419978691846249,0.4788807509386803,0.4766062685873787,0.49618916124061524,0.47397450284327974,0.5175322161558976,0.4591060090528313,0.5178981563065871,0.6659641179151784,0.5840923101972412,0.6374849310940602,0.6759751554273158,0.9288713274196805,0.8247341300082371,0.7271484263757817,0.97166046319151,1.1946451306965895,0.8513002131080865,0.7669888889196663,0.6597366004443255,0.6069820372229208,0.8798277388260515,0.6663562391298828,0.7412868420919378,0.7711159225363778,0.5838448968433348,0.5153353874286174,0.4691361558261882,0.4670301199309205,0.5898179415832098,0.4667806708626137,0.5254977450774285,1.657641463250864,0.43588352630689275,0.4926067667196178,0.7701671746028629,0.5297641183814565,0.47947478445134,0.6866729274211618,1.2157153663989877,3.0478652936887998,3.4935825939480925,3.7393472191501615],[0.5613347749503074,0.4424551958207633,0.3830435966420592,0.33046534754853324,0.4862344302762006,0.4465259413725826,0.39819203710840084,0.3002817313573808,0.2061559716333331,0.18098396915165976,0.2036098844755087,0.2871472120836387,0.23635543408150708,0.20490769310351473,0.3223785802704353,0.26336650268415956,0.278851661797203,0.27454144636021177,0.3340550633777233,0.3380400650030376,0.37295045409688704,0.39283290090105755,0.5835811811912484,0.5930147622369544,0.5576872597171986,0.44828780841892946,0.3397607702846208,0.2723721739316521,0.2720558192458249,0.2848040354734021,0.3214334701601006,0.29616804855954887,0.3738924609481048,0.3376447420691715,0.27470228864163704,0.2817735849142672,0.3025705056579054,0.33612118162163346,0.29871151687008624,0.332534466669319,0.4974718709068487,0.4605268304599649,0.43384169031555353,0.6362828283602524,1.0423646764003667,1.3750847672815196,1.378448115327477,0.8821703411766388,1.0397961822797521,1.1144259852621983,0.8656819284206312,2.5453053221717843,1.372584754059,0.8439894237571217,1.5278186959790754,0.4836307220971562,0.8118349697825699,0.6480947576956988,1.053195824689199,0.8452138609445194,0.5634568784358978,0.7234650717591248,0.7033684576376309,0.5339402146553384,0.43953659822345026,0.47233768286050903,0.5896785219444521,0.3895649677238788,0.5502462149925421,0.4625954991867096,0.7856221340579941,0.9828486340193621,0.6929916777411282,0.7466243473942941,0.45654637009863674,0.8835934814199088,0.37850295146479973,0.3386605780128919,0.33697697156934814,0.3667403176276003,0.365331474746366,0.49085106080848506,0.9887607752807956,0.37191409554661703,0.4934167412492491,0.3106857887912421,0.33342385174219474,0.48391230967444254,0.29617331669836616,0.3840477101648745,0.342041026756919,0.6296194567212662,0.4795026299269455,0.36974192048762355,0.33004199245049615,0.4785628035440781,0.5318120290104086,0.37253072793686753,0.32623666327438866,0.5583863581864527,0.33883197933298,0.44738735312360184,0.3146741054357538,0.40640438563362113,0.4399482278149235,0.4180405642616416,0.48379644347557793,0.4573403471401519,0.41275211122579536,0.5997890007577693,0.35411484034219154,0.3661958680006343,0.36874447465738386,0.3220483417966938,0.2996658152648466,0.3099495027516704,0.3099979615094118,0.313739150320561,0.43241756850294244,0.3445039341884235,0.32489025913985803,0.24632873875796296,0.28665713472033055,0.24670702993427618,0.30836928801933305,0.31812897179474625,0.35174503801293483,0.34599950927378625,0.3879691108849468,0.43259479522208333,0.4306479038089133,0.44721049380675304,0.3872109950256131,0.47839089286191583,0.3954161135685866,0.38095371182450916,0.5426199628962796,0.4001812985212422,0.49096966484537596,0.36462092017774406,0.6170236211792123,0.5868535762691922,0.42861295754838863,0.43996147054873835,0.31245849832732986,0.30663132928382836,0.2815917203991956,0.31884643820572456,0.3221465654553804,0.3440834782547356,0.33975916185789334,0.4784935701837034,0.691343656295115,1.203969476161732,1.3203598208493237,0.4596168863095603,0.35444691496146935,0.3297438070333845,0.3060774370995087,0.3464101314206574,0.3921049891739959,0.3061288631175424,0.3213575134671986,0.35719798818062287,0.38107526539774156,0.4818479755285757,0.45445056100923814,0.591039918793102,0.5595176381955572,0.5554692678251131,0.45045721883745715,0.3814035698282805,0.3956302920585928,0.3650982139839325,0.310791486797471,0.37068900898508833,0.35052946752668834,0.506319526679953,0.36171379042494356,0.3738911822224884,0.4206411216446824,0.36906894370178084,0.3917039050742069,0.4156971389730505,0.439518488927272,0.6246868988824219,0.7023182649970143,0.754767278119056,1.7623882823841925,0.7580860590003318,0.9787527186803556,0.8880068115842649,0.6766677947279772,0.5911810075977325,0.47592790898233,0.4876276226841971,0.548882327002119,0.5105118039189394,0.5110325647847838,0.5668289356195721,0.4439769873576196,0.4654134426017722,0.42630117137634954,0.40364765223340354,0.4093625068223471,0.43581507963814353,0.5195757222534338,0.42765222579925577,0.4685323644623775,0.48129944654970475,0.4953022866022832,0.4950427443932778,0.5552754266285325,0.5602804393465474,0.6061197250200137,0.6840289817664069,0.7577784025631916,0.6077250332151493,0.473475982369289,0.4737591520460094,0.5452323605287241,2.0723070338177165,0.9177268038073768,1.2791961949213553,0.949223604286624,0.670092925477308,0.7097460538508493,0.7537889420018367,0.614066794763186,0.5279571435195664,0.6190834812581276,0.6711209192142156,0.652174509725488,0.5576839378354561,1.0111821108688726,0.7930896928460931,0.7678787353347988,1.0148413965455436,0.5610546089326267,0.5953372694448602,0.6380496277749433,0.6798200835202886,0.9058653239128844,0.9093628153115738,1.031363698511643,0.7676665867196746,0.6592477003741357,0.8228564808496189,0.7325172127645347,0.5107542066640309,0.6361854158620606,0.7488373734669705,0.5381572418707145,0.5378535218202114,0.729927679776428,0.8137503421714904,0.6141278619963306,0.5766756726161704,0.5314189643123575,0.488573030118199,0.4734296132341136,0.5476682726479183,0.4506479294784632,0.4473000351164263,0.48090854170426955,0.4411027892861177,0.48835146983799177,0.43494213197898696,0.5007308932922917,0.6028334613990156,0.5697848643224321,0.6064757511483597,0.6700942996203653,0.8679306866169678,0.7774768328110472,0.7069225085794668,0.9375364208439133,1.1930193968926768,0.7936776884764801,0.6958413568598785,0.5967401023451862,0.5473124395760969,0.8324381394074064,0.6280008372184083,0.6727677515693812,0.7344869282233305,0.5448730556814316,0.4943786479362504,0.4660131372629821,0.46560362190220955,0.5991331886479847,0.43745290051729874,0.5459995769422658,1.665689198682613,0.4462088171791108,0.5178023719458897,0.8945478519836862,0.5597285664649281,0.4911203403359019,0.7857370394947348,1.5303454297427452,3.5266131286960785,4.292134580572628,4.597949665243029],[0.5957748937543252,0.41697404434255714,0.39170371350246447,0.2941781599565495,0.355292514252307,0.3251930364437181,0.280674045997763,0.19893311460518445,0.17866040438061156,0.11399090671067788,0.18526730399337285,0.2769967398501431,0.18382623186273275,0.1621562677883116,0.27513225761612226,0.2289431797073571,0.27978704463147136,0.28993554524557763,0.3353155119212957,0.33499954427982376,0.36464053845232125,0.38634818600781845,0.5451541920148659,0.5892271661334316,0.5150697823641456,0.42465903970787106,0.32186288070058283,0.2754852456887633,0.2642855304926772,0.28803403245400344,0.31382850563250625,0.30808220883552023,0.3836766709624971,0.33434504534351833,0.27584304701651646,0.28572567936577764,0.3023986795612385,0.2979860902906717,0.27393508965149954,0.28974041411152845,0.46472803906985666,0.43291762855668353,0.3919711260247215,0.5852863520822718,0.9494285022758365,1.329642830981354,1.2820559707656527,0.8111349160041228,1.0195838836575852,1.0497847670479317,0.8329504801699065,2.658108449398553,1.4958576627575217,0.8575914313725379,1.4218068315237076,0.46828843403478937,0.9000292339147125,0.49139023373617297,0.9874271824402956,0.8012928775274109,0.5703483250550112,0.8285650094624474,0.7954193285152974,0.590965568260185,0.4204704865842587,0.47917758406373856,0.6355177673559522,0.44334086619304086,0.588563820081308,0.484793020247977,0.8088812217294375,1.0769564015754234,0.7420230339489637,0.7553279089545321,0.45573967945390814,0.8950462849160906,0.39190231639957235,0.35305863960312833,0.32517906291029713,0.3370241435368938,0.39113733374871235,0.4624979475153289,1.0546633001304846,0.42333759088313455,0.44430056767198745,0.32198319759039257,0.31741538686180004,0.47635998355228437,0.28871777511120256,0.3725169957950188,0.3502036031654141,0.6012007548105446,0.4380710360809339,0.34951800784454573,0.31690449962069406,0.4477048568152049,0.4818232254368948,0.3654817029008414,0.3088717749402008,0.6341957358653916,0.3424702361391582,0.47922012809594616,0.29815596878759293,0.3868845411416408,0.38935492612020717,0.38169455827344545,0.5529259642412448,0.37894230540373114,0.3715933126916243,0.609163283155957,0.30607122267892467,0.27847748351146373,0.27635956663331496,0.2807252571274161,0.27538339850420657,0.2995698140172766,0.330651381421721,0.32060873862315914,0.4211158989839695,0.3905311353763193,0.34223182025531684,0.2644187799839185,0.2949950066424376,0.2716025434451482,0.24598199129740633,0.26410709123839393,0.3172582767531135,0.3037715248864654,0.3010696991100036,0.3327941522182563,0.34452062160041835,0.38276028671139456,0.3033012774334299,0.41566163487623164,0.3397151040905027,0.327190278949475,0.5259755319869427,0.4055283616402552,0.5424196325753634,0.3561945858140467,0.6095897632923089,0.5269330246186065,0.41712567003381024,0.4005030376607441,0.2832058053839169,0.2916900378800136,0.24994189315302953,0.2902561242720044,0.274705910953754,0.30206424899378986,0.3444447763412179,0.5097213117276013,0.8245486040210736,1.3570125701220068,1.3960628539607411,0.4869351143520652,0.31633927832908604,0.3283186129997269,0.28687132564966017,0.3302747681541268,0.32690991551967497,0.285764917950866,0.28789541979784306,0.31089883500998244,0.35955521901379994,0.5063792354320348,0.4456669607888058,0.5800326724278388,0.5681007288327509,0.5815080285505578,0.4361745539951995,0.36491618378278234,0.37619832971759515,0.32709951790909364,0.28175422656429966,0.34825988519750256,0.3350693623256478,0.5713386604603072,0.3480455351128276,0.372045249639918,0.3773927128619925,0.3221670284320236,0.32510567580597993,0.3434261502909487,0.380484612567596,0.6016466903553186,0.6549454356167081,0.7132197927692956,1.767507241540608,0.6628891336967261,0.9686784371799989,0.816704738397347,0.6450711456379562,0.5390648917115356,0.4156002324413296,0.429797428089599,0.5229893294745759,0.408827205297283,0.4192306057905953,0.48190977834556115,0.3613695778411599,0.4043128315260147,0.3617749432384706,0.3537819894007604,0.36538692061984906,0.3911191991149068,0.5005228713503969,0.41072214509815813,0.45324122823756924,0.4599790457319946,0.48418253091378854,0.48878610603943606,0.5478317448021557,0.535152944798582,0.5873353432268092,0.6412557922217141,0.7509654013922565,0.5994543470441845,0.45472331113069725,0.44917478160252783,0.4902871897393117,2.1465401051769817,0.8642552277649496,1.3942155357904242,0.9257072342574371,0.6385341946368059,0.653963709817505,0.7025487417266805,0.5438081456388495,0.4252215220816452,0.5686380851533,0.6054426784468795,0.6329522973265068,0.4878381436793144,0.9268711217455692,0.6547172421267782,0.7058788059949187,0.9358969375080083,0.4864777775170234,0.5068169883409294,0.573373969155708,0.6202853543326978,0.8545444830629841,0.891204551733211,0.9890541151138882,0.7143791896717997,0.6073058059957045,0.8023562381158397,0.7082478972475845,0.4808905002145047,0.6453108202204841,0.752243451200419,0.5385052807613465,0.5591302050058307,0.76313528646242,0.8217111152740677,0.6231929521191463,0.595673057782246,0.5216022092461682,0.48493340928571105,0.45536433341439686,0.5184291413859989,0.44050353514039686,0.4150424492311362,0.45175355073819967,0.4053135038543515,0.45995204732664513,0.38313140524756284,0.4349323551950046,0.5566556425243201,0.5334635550457635,0.5362653069571937,0.5751130780080962,0.767338539232226,0.6961601344738036,0.6758008048661472,0.851924463431968,1.1294885753753716,0.835238476073828,0.6908010438404518,0.5758615710781634,0.5381572345493871,0.8349563959234558,0.633682469034687,0.675291403273613,0.7068753276502807,0.5041781429788478,0.4412206615982541,0.40362581256111363,0.4130308164321145,0.5053155650691232,0.38222667348300965,0.6078744187057634,1.7053190920965533,0.48546476140803113,0.5868023909971599,0.9942644359326602,0.5661315401765149,0.43917391060468547,0.9271791759569754,1.649010947129375,3.5626526118813926,4.419197085523413,4.734115937656909],[0.6400531485934173,0.4255547338127842,0.40192275629547436,0.3026360715824677,0.344929263293907,0.317744795569365,0.28944740574323696,0.23425549331045212,0.20998034542422253,0.16338655700491045,0.13794928663247208,0.287639721816052,0.1788290439123643,0.18450871669137073,0.3010224803957479,0.24575193414854982,0.3381176278370475,0.3604584915807999,0.4280064053824943,0.41000430506782726,0.4525382050930178,0.4465516213178523,0.6145736107263279,0.6912947059354061,0.5462755253212818,0.5017210764076098,0.40611818370008046,0.3636201940263341,0.3117414445868202,0.3097480797112452,0.3426918019633129,0.3287371117070449,0.4417492809640735,0.37344749926775883,0.3054036757336189,0.3234364951538684,0.31696916754898496,0.32303102456270766,0.33662281266320554,0.3300576356503419,0.48537795476326473,0.4814375980801706,0.44278369097585984,0.61087593620119,0.9091946290115733,1.266263825485778,1.2290521379129924,0.8348521865898435,1.0590906877720305,1.0433629928727435,0.8504463297202678,2.7808096050618,1.5667885005823257,0.9423841086731916,1.296870405521389,0.532555462491141,1.0424972507543848,0.4617124127785051,0.8630153543192912,0.8567386325672312,0.6458274149004412,0.9049459893495607,0.8861411984936429,0.7176348389107435,0.497569459196805,0.5509101097810024,0.7238152834855637,0.5263268226836311,0.6782844568601859,0.5378586516542121,0.8518148941120338,1.154450760421195,0.7670141062831052,0.8048230328653223,0.4714855411458785,0.9315081836620414,0.4394394186077178,0.38672734255366537,0.3665373958323944,0.3609776477802554,0.43211542889293664,0.4931880388861477,1.0954658910578412,0.4746063936119224,0.47303776893980337,0.35811398468888017,0.35230117063278305,0.48028117908084433,0.3312636857185897,0.4060470765136617,0.3888767758566085,0.6175312468885201,0.461567496872496,0.38855095315063726,0.3405006190450755,0.47500081105231184,0.49619006727618514,0.38895293882807525,0.32567831913894435,0.6774578713047696,0.3565878198762976,0.4678751044344908,0.34295677091709165,0.4013152268086839,0.3811803363849634,0.3742606564493027,0.5498292828851433,0.3676941067789463,0.3656370555624865,0.6126333133310107,0.30385607997866537,0.2699193434578461,0.27003630554839986,0.30339993434688045,0.32109059653779126,0.3637661918418158,0.4000956451394019,0.39993392341931994,0.5189060188124364,0.5038024987159799,0.44701011405908886,0.37592696050851193,0.3687978025407551,0.3011863305810619,0.23915089972866188,0.27252300877692254,0.31844473576411503,0.31030390896135057,0.2978960577349807,0.3351766647371596,0.345709608259745,0.38029423670638307,0.31600793679446115,0.43285509940391037,0.36206104358195224,0.3493568759147884,0.5209904139011797,0.40829046306612904,0.5503714693572319,0.3866228117362539,0.6221519706925083,0.5894796531777438,0.479465121112333,0.4530031355052527,0.34748402136846285,0.35267369151280376,0.3089516744824735,0.32689561837302844,0.2972073399488507,0.29479138365619467,0.3554729503701273,0.5846531416497024,0.9216967310417409,1.496933570304394,1.450412076429634,0.5489660556765135,0.3351120180271635,0.3530844907193007,0.3179823814783297,0.33870061860089334,0.3477897519270993,0.32677632695139425,0.3362060919883472,0.36724162671135197,0.38561674495626447,0.4842318150787603,0.4599543265542122,0.5757228639486021,0.5601566600998035,0.5734818158920135,0.45056545787880675,0.3826558449613982,0.400736930983732,0.3516088081291891,0.31439563579405505,0.35667135639649866,0.3452018141935751,0.5906664227415338,0.37820425538549135,0.38815608430529897,0.40012837257386,0.3440676652964466,0.3506209141691792,0.36767092755409425,0.40114898694626067,0.6284015840324667,0.6640489634954442,0.7392414441135345,1.6881272856791274,0.6774629402809343,1.0095701567218094,0.8525546437470631,0.6577076722801093,0.5476497991864517,0.43056281850918965,0.42577175907102394,0.5221425966975769,0.4087626778304667,0.4160830758674268,0.48131584612768286,0.3705909433850377,0.42409880261382954,0.36834257206646154,0.35659534013875305,0.3766584317095818,0.4019757557356504,0.5053408413274517,0.42446891549179894,0.47854718167986326,0.47507660378414873,0.49722187233018306,0.5103299264807021,0.5742053894535001,0.5514196861018043,0.602565216162934,0.6356227279003,0.7579908223016798,0.5971009782772485,0.46261716034333544,0.4662842146408435,0.502508833699023,2.2122011967055606,0.867746977830259,1.4095029096846223,0.925130950414751,0.6566270696962697,0.6629777095158056,0.7432480311639983,0.5424050601785879,0.43755252294020697,0.5888109563691986,0.6122544282327445,0.6150010330272241,0.47992366945908677,0.9530136160047574,0.6367594762160432,0.6956794372437419,0.932765152060781,0.4812505523206511,0.5139940030430021,0.5839971086025711,0.6408062540651354,0.8846876162051803,0.9413904296610522,1.028563615725573,0.7377082003427121,0.6420855419995436,0.8372051198509701,0.7247000632967072,0.4979081948498002,0.6664159867936131,0.7577037077557991,0.5506473838721206,0.5871411813862629,0.7959606678431511,0.8420893428826264,0.657490942729019,0.6361465242060832,0.5539999225288541,0.5163382670683964,0.4847303750184223,0.5458099007852031,0.46870319630852725,0.43150537023414026,0.4721093123773898,0.4165585653591672,0.46934317894593724,0.38969233229766465,0.43936666525281926,0.5529091255873387,0.5350671387802449,0.5227996528665968,0.5750420316587037,0.7576826002506426,0.6846281233903666,0.6689763938294471,0.8550083019990885,1.1366819931121028,0.8356100755699803,0.6865029742948511,0.5708629488826491,0.5380423290922255,0.8355913487821636,0.6315540698552314,0.6686014224633374,0.7040095965200325,0.5009720251915425,0.43543684578856817,0.3965669332928544,0.40670700921113295,0.5202327007655153,0.37767681023573735,0.6440081733482148,1.720003060007877,0.5632673785512826,0.6497862784464136,1.1071559830645368,0.6076117116297672,0.4487811311634095,1.071721798312738,1.854224517207472,3.7250612748865937,4.851373038992777,5.217453346473232],[0.6425031168471828,0.4529960897898317,0.4590178534028045,0.3966107997499561,0.4862928183285943,0.392813962499657,0.3827364028357627,0.35037584587275983,0.325383388532256,0.3232232810145194,0.33083972322677885,0.4385958998908553,0.36367680160017507,0.3520397037172642,0.4442872463259822,0.40101025431902027,0.44583294145903485,0.47501128880886073,0.5549329010384346,0.5320254574896187,0.5959132108612384,0.5827165430974733,0.7444996824990171,0.8425027294200331,0.7002219333966809,0.6778168966216058,0.5532080413789837,0.49043417238018305,0.44605813745989087,0.42001779166539027,0.4640068841801547,0.45855194464150645,0.6082667272235324,0.5192529669672236,0.43829539336847756,0.4530212940879584,0.44301145417774906,0.4291490011540708,0.4706125970334789,0.47371617095303,0.5941348700552386,0.607281172086114,0.5744182702029629,0.7653612776942932,1.0603333805839399,1.3707819699572679,1.4006484901616574,1.0093523242834204,1.1792847427667237,1.2000556312925437,0.9750821318112135,2.748380975301745,1.5353725372950222,1.0188012246608849,1.3412443674768504,0.6553074627322419,1.0848481522986022,0.5739595265453123,0.8338988220146394,0.9436784098523159,0.7174366931356797,0.8910140906785062,0.9279893758653434,0.8323030219392384,0.6230371941775324,0.6424792648474476,0.8219923541381096,0.5908415945844181,0.7864736526913643,0.5945267385177216,0.8793176680590934,1.1720602376331015,0.7817120969218834,0.9079725320793656,0.5348160617128751,1.0176592074176625,0.5420938223273487,0.5017285674446003,0.471128765054274,0.48197004136844346,0.5022482602459071,0.5661892088970764,1.1174019430439288,0.5391981072383912,0.6059350955506143,0.467361080391854,0.44296735344364346,0.5677255598677335,0.44797504148057704,0.509966286749493,0.5050796176434639,0.7497491717856654,0.6203754206267429,0.5538674116903569,0.491984746452591,0.660335320777352,0.6364683879169312,0.5245913734133171,0.4847860086308091,0.7998612523720168,0.49264126314426065,0.5429727525424619,0.46831142031962214,0.5106253530300139,0.4799555740592743,0.47722148594205205,0.5996155879794618,0.46800467893664427,0.4536214787687529,0.670748511722581,0.39807423139378445,0.4009800113611246,0.3941467029627605,0.40901315056403076,0.44196293810251963,0.49618901105021684,0.5246159685815699,0.5651638482821604,0.7180064847953301,0.6135458087697917,0.5902671694201503,0.5097243694249317,0.568958695341245,0.44831421406977584,0.3848135018010735,0.40976337456921996,0.424520382431689,0.3981688166698052,0.4028790369246591,0.45204991411317685,0.4677681459042733,0.47257645645827373,0.4564112185397203,0.5411504499880455,0.4851907663929855,0.4806317656606842,0.612864138948937,0.5293968069149031,0.625357453845631,0.5430357872822655,0.7671107971639807,0.7949523682837681,0.6132009722653907,0.6193736098881101,0.48547608432053435,0.4584498548792092,0.4425299686287296,0.43065821528510534,0.42212015744398856,0.42131692867439635,0.44280080013970907,0.6584143120520596,0.9634354341456537,1.58444110800807,1.520396945188316,0.6655733483312157,0.47077379520337054,0.45897746603150597,0.444462588154803,0.4569875495344014,0.4848859363216983,0.4300587902995126,0.4660746962725762,0.5034377912187884,0.5165713150143152,0.5905424389081161,0.5928444652844104,0.7151083730101948,0.6871492303701874,0.6925002468272526,0.5870737112198164,0.5245837800405351,0.5149279627014435,0.4646334845059371,0.43685483816696663,0.46089793516349337,0.4784404804114284,0.6457695944161245,0.5062457824679111,0.5201487096426356,0.5020780211974063,0.44806598468101433,0.4660232712965899,0.49276976042817955,0.5311940518278399,0.7230278711518863,0.7868197848041059,0.8699306669990989,1.715899186853732,0.862265753073686,1.0870554858330714,1.0058247654461592,0.7876411364391404,0.6727215669011799,0.5462504030414742,0.5471291345953329,0.619120499519121,0.5270216331655065,0.5257509435053008,0.5747482478961482,0.4661763405643966,0.5015839306002537,0.45972958573497147,0.44546595260781396,0.465337024707418,0.48656952292834776,0.5686375873592939,0.4906432051753587,0.5422571682804466,0.5362242489754566,0.5502615203021386,0.5683084374536216,0.6232128416835714,0.5963896802547553,0.6615383182064153,0.7064102636571877,0.8156486283162829,0.6886315930104661,0.5324217002661974,0.5259188534825425,0.5506274024564438,2.1029228440243926,0.9117664372192794,1.4424116767892183,0.9697513228902563,0.670711925329951,0.6939744755549059,0.7479485719637671,0.5959807828943232,0.5107626770155201,0.6471042220230749,0.7013056648812572,0.7092264737256364,0.5818142152518093,1.0280449715089581,0.7704538269025076,0.7669813393389467,1.0047518402088549,0.5705743024030061,0.5805984797370671,0.6395179301175564,0.6916118854100638,0.9227654964838031,0.9541424509599148,1.0430048467273552,0.7770501868912384,0.6779900958862173,0.854331929133898,0.7607738604448193,0.5549333710065425,0.7046332892551801,0.7915065894511454,0.6055356839233051,0.6375275913750685,0.8292005334912372,0.8742373676268069,0.6888079464702594,0.66561282688714,0.5925723689633555,0.567897206330857,0.547035084741189,0.5998658558415696,0.5297237979659848,0.5055971100386117,0.5488669227940439,0.4938247881894897,0.5296477024977182,0.47593225377197534,0.5126319718091481,0.6441739120890388,0.607996416544144,0.6347055941049015,0.6541742715790211,0.8557628978101524,0.7753545421463095,0.7322584207682978,0.9085894993477459,1.168843968725117,0.9229142893008345,0.7732439957764835,0.6634376332394923,0.5978880275935659,0.8994806353293349,0.7108934661187208,0.7675085370788804,0.7609280916958896,0.5736318733833894,0.5285641518703008,0.5010470860270071,0.5042844498072568,0.5731069125803155,0.4541447540334319,0.6615330158280798,1.7616483337739406,0.5753111619821653,0.6708643889907866,1.1060431108802233,0.6545045615446048,0.4962497924741044,1.048212846926499,1.765757828731564,3.547257803409459,4.574726941244448,4.924107924690112],[0.6501444276414535,0.45432897120306476,0.432539185158699,0.3385677029520744,0.3741671618619868,0.312271658780353,0.2681233929234812,0.2774455461910605,0.24485819235544126,0.1610746062209298,0.17982791858620362,0.3219160534397498,0.19442899673873554,0.19357297586052463,0.3143024133376883,0.25947515373243996,0.3291069647160396,0.35991777941885184,0.43866976239714345,0.4143560460568021,0.4707988576416012,0.4541953031094247,0.6390608394056821,0.723107541637006,0.5688835605839342,0.5183001052119388,0.3944529477441338,0.3416159473890204,0.30991417149976336,0.3173992426328901,0.3546962786180219,0.3552650170296263,0.4787348743354954,0.3960874059922081,0.31659240538857625,0.3320041490475719,0.3321323886979494,0.31935460048532943,0.3147272395393761,0.3200041125645825,0.4827177031509911,0.48033665358638516,0.43981278690045167,0.6329953246544852,0.989090611486489,1.3447900503096448,1.340629713299626,0.8715028898471906,1.0524873692599177,1.0847704669728586,0.8607836596748556,2.697609802499864,1.5117185153018005,0.8967092113839183,1.3421662088490687,0.5021050727367319,0.9860589421601548,0.4508597629602394,0.8687147343245569,0.8476287923348674,0.6318438251361549,0.8781554351808023,0.8802701720120981,0.7449760204760778,0.5135348657043473,0.55193622305529,0.7482514503656228,0.5340038574030921,0.715488827293934,0.5571523422885951,0.8685233535104033,1.198255060319478,0.7908083181270058,0.8785156098660605,0.4911976730172867,0.978570417900839,0.46906271415830286,0.4186171657431086,0.3763580760007546,0.36904071625177515,0.43984384601399273,0.5008823934830116,1.0924955707564095,0.4643743223742027,0.4798082756974717,0.3666763129131467,0.35001773241980116,0.4869208493445682,0.33275540852506297,0.429823428985778,0.411507049376902,0.6514829835097729,0.49740524535236785,0.4154114825665522,0.3637157684459862,0.4841843517268099,0.4985473307445233,0.43338453873808247,0.3882654909120152,0.7908426803791888,0.4213832507210819,0.52630563213596,0.36226059157731577,0.4291523407689797,0.4150073352991097,0.4244885502010846,0.6202381458412379,0.40110200415795494,0.39946229901825886,0.6357734414902606,0.35684625847337914,0.3007107637456663,0.280721288771285,0.2977775368138328,0.30809046952117913,0.3459186945145878,0.373623798511444,0.3774502826447234,0.5833577067737447,0.49355137744689226,0.4482416264469857,0.3572236183209437,0.37599931936630937,0.3097151130595733,0.2730985169546948,0.28848773936683136,0.33981796934906733,0.3349057417314556,0.3161691988431839,0.32892854946046973,0.34413763984940154,0.3908309723086638,0.31093006000062934,0.4211450613016531,0.3609116271526305,0.3505219680166178,0.5498444158340131,0.42810991956308586,0.5408439440711587,0.38020477732537217,0.6269650719923862,0.6177221569245901,0.46946354532996093,0.4615007080340771,0.336228706402151,0.3327947464715377,0.2928446375156245,0.32220789079857387,0.2968616764122093,0.3183097924168251,0.3927381642178505,0.5836734779412858,1.0126327610436454,1.6430506157737739,1.4984533611317319,0.6042519896216475,0.3742269591754338,0.3863280620185008,0.3467880165802181,0.35333706484138183,0.3379633143607898,0.31351054164566894,0.32089871254794433,0.3432787037855602,0.3826610181434468,0.513535253425446,0.46181234254893166,0.616038747106643,0.5998648015711702,0.6042140003820645,0.4589193069638899,0.3856576803200143,0.38980093058615234,0.33323578133642445,0.29956030084347635,0.3726547163244227,0.3628592203893743,0.6167783560540777,0.37865428996808004,0.3946371673671632,0.3769908272911674,0.3409009594755742,0.3402536283107197,0.36212339480012434,0.3978118234737646,0.613745956103552,0.668209364399853,0.737136342382257,1.743592485239758,0.6952578678980224,0.9719325493929937,0.8335518811800546,0.6652990863759976,0.5687541540581943,0.4266295374257542,0.44123349845670234,0.5334566484886714,0.40546400506634794,0.40895192099053257,0.47656830864413596,0.361822962108564,0.4239630089211803,0.3711873596218775,0.3675143968699197,0.3963615228532765,0.42611372819374,0.5232624059860671,0.4568553887466786,0.5178661075747846,0.50724645189415,0.5382169090339274,0.5630346149277571,0.6176148180630757,0.596052586115268,0.6682187770117018,0.6639233946798346,0.8135879406044918,0.6568081878741353,0.5250739495912131,0.5137488500600348,0.5453055801586125,2.1019741343047116,0.8954751837550702,1.4840584189319705,0.9348553687489063,0.6670350881724181,0.6703678647008257,0.7064168924689831,0.5679431786025129,0.4159153023841338,0.5695749059225179,0.5796780562333206,0.6552882207128582,0.4803862314971931,0.8907452588010721,0.6669837955447323,0.7198512257309716,0.928756814543018,0.4807825318695143,0.5030154500162681,0.5540316370305666,0.605957872897635,0.8312077597124377,0.9166819855209845,0.9858687392567209,0.7104944123247766,0.6323065931477692,0.8137242558900772,0.7324442085194439,0.5242146460325372,0.7150398247523725,0.807135210913342,0.5979195419022859,0.6446239293377038,0.8438161294885866,0.8782013324251073,0.6957621122504042,0.6924057122965579,0.6017091016059214,0.5625790641590647,0.5135570081311871,0.5531624366257026,0.5152164775681857,0.46926870508083196,0.47786956113351614,0.45873267404038387,0.5120791348166915,0.4082566985036741,0.45768401092840044,0.6049153933908821,0.5659696059302276,0.5653792585299203,0.5946182416477704,0.8032072306074561,0.7118012605961607,0.6918771161346375,0.8277249314218623,1.0716598372993382,0.9386377874349684,0.7324171150095593,0.5972439524705494,0.5475659198500579,0.8395200986792832,0.6629373335205835,0.7317777381043823,0.7332683859813844,0.5353271214108912,0.46063043693107186,0.3978977113651559,0.41398386394380404,0.49325477011281627,0.4339939299408765,0.7106487675410822,1.728735782932887,0.5522164516262741,0.6925541821890818,1.0585583931177382,0.6486006975070566,0.48907465253704974,1.12959149598817,1.6322623732673676,3.2349473341270825,4.075438131409779,4.437668034004842],[0.6737279405974573,0.4327468609868595,0.4383938415937159,0.3520350168661463,0.31930456484022696,0.2916498103121858,0.25296664665880114,0.2605234670253017,0.2162154832131873,0.16305322462428354,0.20297468319858905,0.3016526507414291,0.19381935801830563,0.2193154637230097,0.39624858007777275,0.3091881438943132,0.3396344469030254,0.3670942438389373,0.4060348990829318,0.3996264455997298,0.42827534784101107,0.42453973572988696,0.5940605756347221,0.6647311166191505,0.5114278919302523,0.4606029409059483,0.37292560759915305,0.34672736617314953,0.31954720119698266,0.34955872139282007,0.3752948493149253,0.37653488900572324,0.47911014704762983,0.41374499548829596,0.3491950853725542,0.3441102699052751,0.37460777348918606,0.33536233027072015,0.32636535315815624,0.33581117976398744,0.4865967474863368,0.45646292198462995,0.41820403467930095,0.5850755125707777,0.8754828234830956,1.2736242909321056,1.1924163837752217,0.7865641522236858,1.0355206479491255,1.0194341855735762,0.846424003703009,2.7823290464756365,1.6208537128424434,0.9510181890492309,1.2971834781511649,0.5263494661192887,1.0449302602984731,0.4614848643260947,0.9029686654876841,0.8015039307795063,0.6337478046822298,0.9617874806607969,0.909126188707022,0.7080903208334086,0.48203459689861866,0.5287545066686413,0.7038953891553161,0.5324219819955732,0.6610833056990956,0.5406048877148663,0.8619562330747389,1.203365057441486,0.7957931917840614,0.7828221089327415,0.5020007423923754,0.9376563641643384,0.4473882195307243,0.41775032149908936,0.3826902585425988,0.3871821573709412,0.4952569072772068,0.5400122487901555,1.1316183977390717,0.543561312724094,0.47731203049431314,0.41234198760069224,0.3778261513809204,0.5386273376868725,0.3434578330561993,0.45078355217969446,0.3997627357321008,0.5874861354163619,0.46383809284640637,0.4017586210161579,0.3727094107531552,0.4533523387241331,0.5200586717322038,0.42977547036518987,0.39645821637937817,0.7874705051592489,0.4473287544851736,0.544838908466331,0.3820502136472852,0.4506019595867024,0.44491846151389053,0.4303800985926744,0.6583527093968509,0.3906191854401963,0.4060711718627823,0.6389335245440471,0.34796987378341887,0.26046550241062827,0.2465619273633292,0.3072065357285244,0.31493663820491863,0.3225722925064819,0.37623092425211935,0.36144813083749255,0.46832097414842,0.4690837881096367,0.41541824886267387,0.324803695250114,0.32537131467307256,0.2869614931499105,0.2465694302857083,0.2569270503457333,0.32752240596021787,0.32229890332259575,0.3018100839410833,0.3054138088151554,0.3103307991061896,0.3729725220344442,0.2764493622207353,0.4115864547618919,0.3512131002558942,0.3432439450963625,0.5351340551178508,0.42774484444325866,0.5817769112710596,0.3767033553135531,0.6089396525437469,0.5132416771335615,0.429201355704234,0.4088264440183437,0.3188922441330779,0.336100261435407,0.28892329440738174,0.3397884446002278,0.3102087809097621,0.2966455861633608,0.3881855115576861,0.58115359075073,1.0203892562265813,1.6105220365497228,1.5012499028026465,0.6091820427319908,0.38671523187525436,0.39896369663543046,0.37208886823185117,0.38307136041883855,0.3374494060155137,0.3356427947436248,0.33163842549703176,0.3655798663842087,0.39473472248792574,0.5037926945667355,0.4413549964109243,0.5510793394744355,0.553624861749058,0.5744910067405888,0.4352064144276388,0.3779101538229915,0.39937863552410313,0.3469156114079228,0.33565134820381615,0.3928642852705237,0.39276615037864143,0.6685530781509316,0.4083021640667116,0.43923551130690486,0.39256490589055093,0.35263149314107317,0.34793321378079833,0.3527931074865059,0.37846640138398147,0.6270731391064756,0.6654369097994065,0.7171895884505701,1.747918420730875,0.6216635676959148,0.9902703211279168,0.790104508390351,0.6185650735658943,0.5099655534158913,0.381311850299397,0.40095941838428417,0.5213453044012152,0.36284282637027493,0.39024626813897545,0.4469719775838772,0.3677512410180359,0.43682642459098886,0.3665174174912119,0.3701944595296762,0.4008526938747887,0.4275463556418039,0.5325949090367069,0.46148550100692376,0.5090074776000175,0.5040822530805772,0.5333148192234765,0.5427278169799411,0.5930085836631952,0.5884612258836617,0.6343528275044344,0.6558403088515251,0.7984101753328792,0.6504617977633054,0.5213972667457909,0.5271064190526052,0.5409673551312035,2.2769934867324277,0.890017223476481,1.4770845819067313,0.9249979250162916,0.6679334864336827,0.6604821404570553,0.7554782709097964,0.5490569705379001,0.43250757721107913,0.599678958302244,0.6023800405447779,0.638271172839577,0.4769651478703411,0.921557086723634,0.5818976636145451,0.6825885091428489,0.8975294509461387,0.4715027400956055,0.49235614470655914,0.570185303565898,0.651155908922412,0.87279629036801,0.9484605630502103,1.0185957747688863,0.7387100147233003,0.6444051639995952,0.8369158146625925,0.7256649089762283,0.5234702743725154,0.7023868009148865,0.7795008750681456,0.5654366471595439,0.6151000672119048,0.8157007556821617,0.8380778011777723,0.674191857348574,0.6659433534943884,0.590798007973344,0.5544540396775577,0.5143781594544802,0.5658340552997553,0.5122997038640816,0.4714312088661838,0.4975241942555509,0.45306323360652295,0.5027766320179777,0.4128594419584829,0.4573045448266506,0.5735841913714131,0.5673472456160555,0.5272087044508883,0.5906239517650795,0.7442782560234829,0.6931746130133787,0.6935594066957347,0.8081668507728773,1.0772395378086557,0.8905958148704404,0.7185179277698461,0.6001985234306937,0.5824311369974807,0.8616652149310263,0.669417719458375,0.6947225274119794,0.7127279957304902,0.5121648432673683,0.4353581007118501,0.39135954377909216,0.40389290404157474,0.5208507415560742,0.38865785323643814,0.7061050261125354,1.712762709764575,0.6323687275212144,0.7267098754007199,1.1528786939742057,0.6310738879531218,0.48234063169653946,1.211259338049632,1.9280239624402753,3.6834452099926183,4.858392516658936,5.243399589358483],[0.7374169927680183,0.5000873737334213,0.4888940918509774,0.3685655268563973,0.37144876853739334,0.3669570251162565,0.31469063659337576,0.36560773740415753,0.3050359007829798,0.2533637500220511,0.31300532249041413,0.41716496161479477,0.3236120109919553,0.4032495306108544,0.5432227809275101,0.46460778650532436,0.5120647050822231,0.5686032962397994,0.6437176194147483,0.5946003160753599,0.6481851810028854,0.6090048266484926,0.81701768245079,0.9093561826724649,0.6914175726018733,0.6796312460547906,0.5579418418961573,0.5163295964661619,0.4869643797274543,0.4721840389904646,0.5215817493302622,0.48257793597770304,0.6362020645150921,0.5641561249058337,0.489177285248259,0.4930408617190113,0.4916419082597283,0.4796062119871804,0.4726173092641769,0.46865922970834073,0.5772843429733258,0.61187718433984,0.5657527366835577,0.7207909666141203,0.9525784077184797,1.3183112928677092,1.2564705145717416,0.904885299893999,1.1138409072273179,1.0912632945953686,0.9035612905303296,2.8524098073391135,1.6628943778053924,1.0520831272513644,1.2571669409416397,0.6763393372629447,1.1842334714151272,0.6451494567046736,0.8500146865036162,0.9080752607629421,0.7665976781994733,1.0583165896805868,1.0536314961311746,0.9289999661385174,0.6867817266951075,0.6720786719939286,0.889182104066216,0.7156397818391136,0.8604210022316053,0.7135832061918009,0.9894101152131242,1.3492180697535705,0.9099137894604004,0.9599200788811211,0.6639909310126488,1.052609914249942,0.6209513212280062,0.5817186840522959,0.5351263847951836,0.5280357771672648,0.6104321914136108,0.6218567586934856,1.1904899783125547,0.6597006499811019,0.5768034566680456,0.5146668923314144,0.5063622870008853,0.6460796673838928,0.494829877921157,0.5869406820471484,0.5745923644590832,0.7094657591743361,0.6163635889422608,0.5577497823720607,0.5083860110685057,0.5847790856803393,0.6240199652269776,0.5310223282568426,0.5168320588023926,0.9267110411085486,0.5576263828655397,0.6314680632438052,0.5024787655690731,0.541610267620717,0.5115493455937453,0.47707888374986906,0.7149383661034873,0.45451307540277164,0.47756188275317135,0.6839151080565188,0.4206941729673765,0.32023129902547925,0.31307711582327796,0.3396419228042784,0.39223520602882067,0.4262010328608279,0.4951918978531425,0.5224517666888893,0.7148434889386465,0.6393787448924418,0.6243172173445218,0.502531093418275,0.48631130403340767,0.39188887183054427,0.2922090108407214,0.3050640392698696,0.3729143691911094,0.3669759273276089,0.3568092596093954,0.35450011836610584,0.35267771905195566,0.4147859950423717,0.3286547367082817,0.43958935872417043,0.39224039047327497,0.3819263275407015,0.5606630897217305,0.45350565239463975,0.5925835288848024,0.44945572323084837,0.6965324916067177,0.663081475720817,0.5533836949294348,0.5501129266081695,0.4549459302196943,0.4620051143551,0.40280653265789906,0.4055589405085008,0.37238592293045975,0.3535841474239931,0.47003681145056075,0.6644766546493757,1.1610720280852889,1.85686694982856,1.5732073115307263,0.7394728477627246,0.5033199091612159,0.4989448430476722,0.4573715798740903,0.44609813550126187,0.39247448150941366,0.4146043960896944,0.4200371853708344,0.46069152977791206,0.45492349488477474,0.5657547503199954,0.4887989065560349,0.602711214914503,0.5792179165367837,0.6017367280601261,0.4740901352890889,0.4252982357771847,0.44597417531556793,0.4029741163798895,0.41768023493407586,0.46439685021897775,0.4758931174038674,0.7272065211006148,0.49564109975832144,0.5204384304806808,0.44708895257537107,0.39590283123159437,0.3884226718959004,0.4091769120442214,0.43980890157823116,0.6989247630273285,0.7302833858167778,0.8102122449166492,1.7348900239873797,0.7107228228202191,1.0450644641313138,0.8485003353104879,0.6579052057462831,0.5456585304794354,0.418791976387365,0.43806683724429385,0.5565989962453641,0.4052317843855982,0.43573597909704265,0.48834951649865677,0.4293954570839258,0.5044021719839529,0.4327440719601287,0.430964070088171,0.4838681299484622,0.5096991029519926,0.5777407083710668,0.5316796721589807,0.6075846941325147,0.5798640769169492,0.6053624054081721,0.6339862093322605,0.6771603971287584,0.6540442773624177,0.7060765823746614,0.7084771783856975,0.868084368798386,0.7107375770242651,0.5964343184850062,0.6133546864887496,0.634115255481792,2.3360720847692535,0.9680812566682963,1.5132444816556048,0.9789645173432164,0.7447636101699929,0.7303861477449798,0.8171095511459199,0.6185494101647577,0.5095899292502244,0.6578902847739331,0.6465659504463211,0.685547280413455,0.5234062908111928,0.9390818599556726,0.6194537096596177,0.7162846076881049,0.9166340676651548,0.5113429649727947,0.5381340812084842,0.6215903446170236,0.7159391435854898,0.9388961662733663,1.0186424397317235,1.092645730987042,0.8136860681643838,0.746089732290707,0.9174816838886114,0.8058696613495349,0.6313602822692035,0.8180889650196655,0.8775053913461631,0.6669442405367179,0.7348527292670051,0.9295902463062022,0.9227623804414338,0.7689968801010633,0.785478374062233,0.7072671814822962,0.6822335327596748,0.6363528971929939,0.6720453332578918,0.6301758576707297,0.5690342689085955,0.582164981095784,0.5421558937943659,0.5770990856786845,0.48034716674097255,0.5276688602281794,0.6196646741709875,0.607958159577983,0.5803608493889199,0.6280547900601846,0.7936861618253084,0.7318148493815062,0.7282949564451172,0.8289328121602179,1.074149798273315,0.9628689944268597,0.7555833052720126,0.6422350299034396,0.6161586181452752,0.8820618589728133,0.7040747673268654,0.7416573821456777,0.7507289545695812,0.5704656177135671,0.48621294848990876,0.4407654352057118,0.4482960383779072,0.5670077168330763,0.46141380116902153,0.7903578814671357,1.7029053913446284,0.7048550078338652,0.8244591551222882,1.2269103789036577,0.7067028357742583,0.5872115827933252,1.400319102499453,1.9928206805124442,3.468949629117024,4.7287285688962175,5.23906571609986],[0.6900897211284969,0.4627441480029471,0.45149533803369674,0.39544966293437683,0.3679876899458483,0.32296336924986374,0.2813879498461874,0.3138148613908179,0.24900849091132723,0.21873131553632244,0.2582818987096022,0.3749240637021602,0.26681490932844937,0.3142255824972605,0.45396556322898624,0.3983077712549739,0.4370967097335198,0.4993195763580735,0.5718924030112307,0.5289401297226828,0.5958296618027341,0.5620815868091096,0.7677793922137879,0.8526587008343508,0.6501083108115286,0.6298875104991007,0.49214991929877205,0.43617396183608065,0.4165096111876373,0.4240959910750719,0.48445361281731664,0.46400586038052105,0.6363464274721389,0.5533370945121524,0.45578645394122425,0.4468121787058207,0.4545578850001508,0.4149251622796806,0.4068386665154422,0.406889941561002,0.5229940402794531,0.5558748705332628,0.5161256030213027,0.6906604205302892,0.9700903114987697,1.3263803856763403,1.3020519258117744,0.8963828604393095,1.0910446441438246,1.0962191835865287,0.8869838036870222,2.787288467595469,1.5967958166337715,0.990884296329264,1.2801015469533918,0.6209313571414646,1.117289194834265,0.5623518118428237,0.8204664507546986,0.9129503461916311,0.7345783846102353,1.0113796168459452,1.0308693142964103,0.9144704762158631,0.6496808999280268,0.6405290939277738,0.849806440764809,0.6672283521340574,0.845299986847982,0.6764981849082972,0.9570785223401699,1.326880440165009,0.8685446795302072,0.9617684831706266,0.6219918630240866,1.0534307205312732,0.5882615773804692,0.5516118321927663,0.4964158859476735,0.489189993531527,0.5636464297088241,0.5791332208185731,1.1698174662130036,0.5922388097357177,0.5363929053669605,0.4605418911434977,0.4519415352278468,0.6099034297828846,0.44986593304231887,0.5563296643631427,0.5524082202575302,0.7200067735929145,0.6125965572361193,0.5661666433415937,0.49862809502026784,0.5925819718038876,0.6105482594486152,0.5239380892462895,0.5024901838793528,0.9206840809211955,0.5383161937427657,0.6109156133471532,0.46105772628481295,0.5013097873464203,0.4686395501826612,0.46120167412589486,0.6780552237434554,0.42735890930511156,0.44228240612503167,0.6488611270777919,0.38996856554144504,0.2898921982185216,0.2744014478291123,0.29983728832116724,0.33406872295413925,0.37733441220264824,0.41843353771027175,0.46140691122509053,0.6760022691141991,0.573295105139503,0.5457973763982318,0.42012747478995394,0.4380651016121463,0.355162120193373,0.28029417515261523,0.29980709656055676,0.34853434309330816,0.3420624395257157,0.33190085078321685,0.31738114801718037,0.33320484695416946,0.39297640463456074,0.30521565137411805,0.4168487695717077,0.36870835231693283,0.3619060996093023,0.5712352965940828,0.4402766582424798,0.5638995970994274,0.41937437360389285,0.6775853219995203,0.6739610721643252,0.5197889776343633,0.5124179264878407,0.38458667197240215,0.3837627103914159,0.3303403516376484,0.36041539063030253,0.33842920546303573,0.3324264450374128,0.4367276490328591,0.6220964165395787,1.1421338276417266,1.8343134505858145,1.5308274482337383,0.6997544646342875,0.4642923679804682,0.46159530061176246,0.41863355500806576,0.40660874771512945,0.3553422303514689,0.3652121619589536,0.36241928778901233,0.41177990465158654,0.4075693653626641,0.545093800364478,0.47865407959497225,0.6173715408578564,0.5985751225434125,0.6148332386639457,0.4637708639013502,0.4067653978752379,0.4095843580647343,0.35482407916333786,0.36104699356901526,0.4244819751914055,0.4392298670993496,0.7044396370279461,0.45935852074890743,0.477743885646569,0.40271360332167216,0.3609927330123133,0.35399032605574926,0.36903932301140074,0.4026812846371401,0.660642554984191,0.7089341356384175,0.7861894188630858,1.7388971572316123,0.7185738944083886,1.0226056397579713,0.8465831080761264,0.6554386988241837,0.5541389349763292,0.4114047254432209,0.42247438846211965,0.5213422253912152,0.38852046574189536,0.4203260939894518,0.47745659164335313,0.3945096073141066,0.4618242874936047,0.39182552583287644,0.4024450837659986,0.44361299644947405,0.4697118829936447,0.5543096964985237,0.4977754926877698,0.5534913540324318,0.5354190207516224,0.575048337735354,0.5986962774379345,0.6341248982732942,0.6233567364968021,0.6960167858225804,0.6945758242283974,0.8562961773072284,0.7069749502037451,0.5652287939340063,0.5742378962811207,0.6031983018008318,2.196628939625391,0.925636333067871,1.5436561722997808,0.9443050824666286,0.6904926655326237,0.6846837546501338,0.7509182938669723,0.5674614663379601,0.44929178771290784,0.6187294970252716,0.6173211061870021,0.6932232050180462,0.5216213485486573,0.9040864446561325,0.632703540941566,0.7224135643592817,0.9230874311988184,0.5143310790297142,0.5113115635857998,0.5678984217194413,0.653902571243661,0.8633778983753368,0.9564727678702761,1.01750946759131,0.7486121501074355,0.6725501352070588,0.8566385614124958,0.7567384150566656,0.5682484070657647,0.7612209598117083,0.8331761064632395,0.6189626657291817,0.6889238475439552,0.8988304622587797,0.888748880988341,0.7270378164760646,0.7460996786716529,0.6596321811649801,0.6279988502944425,0.5738293619419439,0.6047534820537177,0.5725420706232781,0.5077299826486843,0.5360678098000484,0.49877398847315707,0.5480167374729384,0.43742539419039217,0.4751173787994341,0.6317081134011177,0.6047681529007586,0.5827924500990285,0.620922873976525,0.8257453379611835,0.7383819231164326,0.7257561981896821,0.826904886133241,1.0641996984566797,1.002314775411954,0.7704448276516692,0.638788299612283,0.5906063821784051,0.8846145131231471,0.7093082340571486,0.7713766617619556,0.7733463686738056,0.5826647886418999,0.4794538440249022,0.41427726442179147,0.4294740292889772,0.5200963450676839,0.44712960200562524,0.783889751030061,1.7112121698033127,0.6306862473659621,0.7962774294873899,1.1449922939726778,0.6966791139796908,0.5539769678492706,1.3531442391605961,1.7785617706311527,3.118855875865874,4.163505240247006,4.672307224598712],[0.7169017637301407,0.4918012571118797,0.48543834101898725,0.41506103909147263,0.36097759397795326,0.364070348910217,0.3018964757019687,0.3691771991800621,0.2868412134185064,0.2805548917018752,0.3241185959803445,0.4311148919564457,0.31311309826871,0.32503448654960887,0.4917233616703085,0.42028358469132837,0.4153969846677334,0.4762542921838313,0.5204066600253922,0.492095957893513,0.5294995130407493,0.5100753174295893,0.6923699914331274,0.754130166993527,0.6048293712478438,0.5681603314279305,0.45005065188947946,0.41655247722262473,0.39710479942457877,0.4355233249027069,0.4734178506720839,0.4866934093498854,0.597926165370024,0.5295790133856049,0.4675447877051378,0.43764478142575636,0.45795350478203595,0.4207735919128644,0.4057674284106347,0.4068923933129814,0.5350534765225479,0.5222659574544886,0.4779951669948879,0.6395974059962315,0.9557341078928423,1.3580262769535114,1.2944416709581972,0.8423668217104208,1.065165247849724,1.0773475703436668,0.8651142673988822,2.743270716748136,1.6046901658071953,0.9356519092906733,1.3253403567717221,0.5707722581437242,1.0611675379310481,0.5181779516201958,0.9217092920263519,0.8566513632343551,0.6845057866634865,0.9937177806285274,0.9750463341167667,0.8168314411535088,0.5742002486914517,0.6025724470519562,0.8014027324789372,0.6201233144178924,0.7771590060309012,0.6340045657387458,0.9277958534571937,1.2893106079749443,0.8669178526049826,0.8995802385876167,0.5909721730254281,1.0040393842993867,0.5442881455505295,0.5406516145021456,0.48531427392948584,0.4865799073858548,0.5662719703553071,0.6081159050175522,1.1449329536564194,0.5913421795529736,0.5393485346633652,0.49122009007030826,0.45062370954280684,0.6039877536807036,0.44286029601324467,0.537523242759363,0.5172967787400937,0.6803973453543976,0.5714035540239273,0.5376591565910588,0.4904753654859363,0.5656372538373539,0.6127320023732735,0.5705984679492155,0.5629832576333467,0.905293898328328,0.6047913028168371,0.6590770403422035,0.5118404194236471,0.580007656394569,0.5574261412106204,0.5401155831561668,0.8137881322345373,0.48528729108588786,0.5078370400705801,0.7099690641855432,0.46927745208963617,0.35167554609948626,0.3116033707416721,0.37376910774080163,0.36629948900322207,0.3774826029877356,0.4302695714048559,0.44919968697374857,0.6036771435762431,0.5508603887526838,0.510612435320162,0.41339890432152065,0.43253751558006326,0.36147952060842625,0.3082433183905433,0.33192348268637295,0.4107941524274052,0.38320463688873135,0.3665874228800373,0.37797534060857396,0.3721707383168344,0.44193553679599745,0.3637041931574539,0.48228909560651734,0.4229804242372616,0.4152554445815898,0.5990125052973175,0.49118689132319193,0.6353139367322848,0.43787147782184566,0.6936873994667149,0.6109594340692458,0.4933972303035436,0.5132189331016286,0.3900374617551133,0.4022371293348557,0.36030259460307545,0.4036830617846697,0.36670758629073913,0.38097817845769466,0.4944313112509384,0.6275131314924008,1.2013880838796203,1.793275776224437,1.4311960366299123,0.7079542010023454,0.5190462167112593,0.532620336872197,0.48630426471432836,0.48498529377080246,0.3877243533539477,0.4142287839577273,0.39413879879084945,0.4240882544702755,0.46610621650247025,0.5525552177973935,0.4932961977844411,0.6261343598139666,0.6400494250041805,0.6613942639013012,0.5003869414712104,0.4358367108371688,0.46136944712560485,0.4077962801990619,0.420080611530319,0.47914254866780365,0.48635417599374947,0.7638227838733078,0.49356959446684184,0.5246363070678443,0.44726346812368356,0.42644800127020766,0.41522037908754406,0.42748861761223217,0.4512491058933486,0.6638153687342644,0.7202554670510972,0.7701487398234462,1.8300910497336351,0.680722571269783,0.9895391683459552,0.7821418113594728,0.6455598524394897,0.5692035324546675,0.4323523850794913,0.4733032583337319,0.5628680755479984,0.4126218604815818,0.4367064070527402,0.4907000215887566,0.4388795191973883,0.510884897960683,0.43035885540704566,0.45033431127557644,0.4910593764491695,0.5080462400266084,0.5851414290310332,0.53505082735929,0.595657070304284,0.5690190540978247,0.5960618005711183,0.6330905436374928,0.6706309359647941,0.641968845787844,0.7175156472657834,0.7113978457190232,0.877675431902288,0.7471708643517239,0.6122304832236246,0.6267280951085328,0.6421257689003035,2.1858234535537857,0.9572112243735075,1.6267023202229398,0.926822634190737,0.7146968379469693,0.7162169050621167,0.8002805078201939,0.6216976230500125,0.4832166160184783,0.6658081103708633,0.6293855482396057,0.7236037776542027,0.54661653294419,0.9020698302180044,0.617235135850738,0.7313177338687217,0.9302947676172725,0.536149669665208,0.517810368211024,0.5760003237798007,0.6859247454676403,0.861766484755643,0.9956034268666906,1.0126229401304394,0.776044336133347,0.7028409655972175,0.8728970207826466,0.7943335941692315,0.6173774303539937,0.8062825922595364,0.8707604446787796,0.6623956352235489,0.7421551050579966,0.9390284256985388,0.9123723497000347,0.7648677862816942,0.7893222370779747,0.7012610640665717,0.6752763219452221,0.6113713239354742,0.635644171662588,0.6289446577601291,0.5515217538648519,0.574843540564836,0.5514487410238791,0.5971647402484265,0.4913189198938205,0.5222521162602217,0.6723513322121373,0.6396990104018077,0.6052207081049742,0.6487429850892,0.8000776756376118,0.7201856062043042,0.7524811613391074,0.8376529383724772,1.059635663131276,1.0455368687862998,0.8026095616899228,0.6589244156366288,0.627083100754115,0.9101768391197237,0.7472455769720007,0.7896852865099584,0.7800178639755755,0.5922555521021675,0.4910238505095758,0.43878249002404474,0.4303111821996006,0.5338723155501084,0.4945724511211181,0.845120001253691,1.6809414396641096,0.6772646148568316,0.8469523117311097,1.1391796120492899,0.7485724056953251,0.5695061173088763,1.4092318607919907,1.7091900358619012,2.934237244072821,3.842365999079637,4.409997266481259],[0.7681444587700855,0.5257686734798434,0.5107231843053188,0.43144045107549944,0.3568421658034578,0.3707743322247453,0.30240010957445096,0.3759352707107672,0.283505339711962,0.3048848354521069,0.3715589906452721,0.4669944261809797,0.3681071590879777,0.37566771085080425,0.5834104816456963,0.5046017834095005,0.4813985357395057,0.5436293273040831,0.5826248037509718,0.5577438505186505,0.5949076020933897,0.5668792877489722,0.7450597464995619,0.8302372263040555,0.6350125669870689,0.6048945593289856,0.49495673813951185,0.46720143580351825,0.47281340327574367,0.5121470781317413,0.5677644753509699,0.5712282567865028,0.7144306350299391,0.6432640763511909,0.5738067661556987,0.5288326465739953,0.55481783794723,0.4875230916030997,0.4537979625548484,0.46767263903236683,0.5597889085974499,0.5413170038592082,0.523580375861785,0.6513257889916197,0.9034644116578258,1.3146721450800203,1.239579797696306,0.8418183820291052,1.0731016448563826,1.061698871166705,0.8832009521350708,2.8387790870684233,1.7107061115169389,1.0404705428985526,1.2821619043263721,0.666560522665098,1.165064233108072,0.636744913794581,0.9000153178749651,0.8817965868801687,0.7318424640771216,1.083319668590919,1.0660537233318377,0.9241863647712689,0.654151949762821,0.6561858245501775,0.8582878946678693,0.6987160296308451,0.8241511308007508,0.7087747104251944,0.9487675041345662,1.3616646336462335,0.9356311230140429,0.975443629030293,0.6996251547012863,1.1097474920381687,0.6451209549969482,0.6403438619018897,0.5889226806291,0.5812893892356189,0.6748643660842095,0.6807759250414245,1.2045048407510441,0.7203149977497867,0.5985772209688383,0.5740460933319604,0.5399871795661817,0.6983870191344093,0.5399400299231532,0.6377721869155236,0.6198166532492415,0.7495727934881977,0.6746118903306613,0.6444334569277383,0.5832584162370875,0.6632032442794251,0.7093012351169814,0.6313167268006782,0.640396880113619,1.0484293811191963,0.6972103362697185,0.7262085638042244,0.6081369429091705,0.6524375385337834,0.6259688491490795,0.5860718578702615,0.8836477407263202,0.5426624503107561,0.5478033913148128,0.742354915285947,0.4953343312236408,0.382117890431656,0.33097168292457196,0.39226633527854515,0.40132851172775924,0.3904896066622985,0.4542847128363494,0.45922893275825005,0.6181786434631671,0.558493835954704,0.5324029989362199,0.43413753562754276,0.4387781490820224,0.36874923466631304,0.3240785878377015,0.3235286718897081,0.3998208248978178,0.40635771232637824,0.39974972395521735,0.41038272649700597,0.38571967775369087,0.47339274407255094,0.3886501261676503,0.5285343338199021,0.43685782229511655,0.4302881901210927,0.6248661358849292,0.4938425675793258,0.6294161236005936,0.4514661813667299,0.6876624225200333,0.63146643146716,0.5017934324327036,0.5191198773416345,0.41894813440344997,0.4436810161007984,0.39287883554556935,0.4444399576299232,0.4160099958122682,0.4178004957818348,0.5304862410452595,0.6272785035587962,1.2626600354619382,1.875367542168895,1.4107459460415848,0.7942175380607135,0.5806459030422904,0.5875426289867282,0.5546341572630145,0.5409388665682657,0.4330848229032058,0.45834104349575117,0.423478035445839,0.4575832615340827,0.5164200980675677,0.580518394461445,0.4959572047067911,0.6226969199166339,0.6230159060944656,0.6528937654642948,0.4983195800581705,0.45288629419827703,0.49631621823990574,0.4539687897425602,0.47920960948164865,0.5543567289058879,0.5610183121370615,0.835457647311818,0.5680584237231028,0.5995006287949244,0.4982923064610993,0.4783670680088141,0.46423665465922465,0.4680372099901853,0.478273036194748,0.6970203491725152,0.7452431802874512,0.7981275108624695,1.8293936353159042,0.6856550445630608,1.025104524617291,0.7935739535786794,0.6328702104537048,0.5469929953812216,0.42708960809189084,0.47646196192034473,0.5732102760771419,0.41998416639908925,0.4491234462184988,0.49148437310192805,0.47898226708262825,0.5523587140736399,0.45495154436387686,0.4828599502956031,0.5382972637771328,0.5456688135918895,0.6192899437349894,0.5879948012125692,0.6531433376296963,0.6158909583845619,0.6505445532474189,0.6952543044299366,0.712665420064082,0.715770182534412,0.7836166136987942,0.7719482174257294,0.916074966910714,0.8169384198964694,0.6728721576947875,0.7097625601192822,0.7294506183209578,2.2645699383736013,1.041956179589559,1.7098717943079385,0.9575203678382723,0.777245834464597,0.7613609967768799,0.8516733207365934,0.6783477744365952,0.5444332867354292,0.7332048107024253,0.662067767626215,0.7534249378341972,0.5806876281873563,0.9229458929309416,0.6199134047082974,0.7461322511623821,0.9205210750219136,0.5588264872539693,0.5511469452352917,0.6334670325078176,0.7349879512203863,0.9004776874003049,1.0636977524923308,1.0507124421763678,0.8203002509852367,0.77011619614005,0.9425048448633735,0.8265428515891114,0.6733684632564427,0.8594440439125106,0.9011717114793113,0.7012200701781834,0.8002929144323789,0.9890451064584591,0.9288270641833172,0.824808900353054,0.8709916446302977,0.7836492850645377,0.7516565853432645,0.6851414514756966,0.706469379536136,0.706319726775302,0.6145055750162305,0.6267802234759097,0.6133785217921371,0.6492140251491284,0.5364874431617414,0.5688444555844716,0.7089344690262751,0.6752776613892689,0.6335135555533876,0.6801075112848604,0.8196305599464551,0.7386071321892094,0.7813547140703149,0.8403721517982286,1.0332495386609737,1.1122285461178478,0.839147387402643,0.706062272206512,0.6742862267379637,0.9371542722473039,0.7716937124377523,0.809574589586942,0.7836629356116416,0.6272122475702125,0.5050049223485268,0.45310928418787916,0.43214294763904115,0.5804095563960728,0.5296791185957392,0.9110195929419422,1.6006692575891919,0.7279682799170297,0.9220590593698758,1.1401422563245218,0.7599480297882873,0.6165415706823477,1.5794246946063706,1.7273998122343748,2.608779797908249,3.6540377688661487,4.420085332017177],[0.8823726694365303,0.6412109814030346,0.5940814507256336,0.5317277246679611,0.45100351597697846,0.4628307630125551,0.379826262848589,0.46760599854628165,0.35903952454934573,0.35609345064335135,0.42419414785061493,0.5344356400406983,0.4367199912827705,0.39730068174328415,0.6576967513664634,0.5712224435870024,0.5099965183985914,0.5746878543465959,0.5860329935912144,0.5778181765245313,0.5955257012207785,0.5858252797813023,0.7279265146406957,0.8160473789555643,0.6334502511551623,0.5949775122858302,0.5183562883133582,0.4945217370701236,0.5123986045706606,0.5719148762100338,0.63230624178988,0.6530414875521571,0.7624981560655945,0.7174074465878024,0.6569360059477072,0.6012848565389773,0.6372161917782536,0.5621016183971391,0.5185504196384512,0.5570492679209578,0.6076444574630258,0.5529116640812373,0.5597947900644785,0.6300550173393796,0.8483793558411105,1.2896741759585943,1.176893505897746,0.7979160890802243,1.0589591684408752,1.042725626879626,0.9308274529678443,2.8800130366246846,1.8115178880746188,1.115801126921823,1.3217899378925018,0.751620638362845,1.2141962337344494,0.7173601343174625,0.9866284275702493,0.8885972594397931,0.7701173411461305,1.1695202425556857,1.1137224449385743,0.9188333945187306,0.6751356834310895,0.6756847036959065,0.8604407467362264,0.724119396210132,0.8097367843411584,0.7339454558782575,0.954592115903875,1.3888451924067358,0.9759675165876153,0.9824585903827795,0.7537729298859046,1.1483720380225317,0.6951680706931492,0.7275018035853078,0.6723684638085332,0.663583340299087,0.7639658750535714,0.7686376980761085,1.2572914311756178,0.8323383236948679,0.6627952632449484,0.6596025605566835,0.6204106343644584,0.7662467406925435,0.6115675556028217,0.7065531386059769,0.6903200181649637,0.7878318158304635,0.749939497488477,0.7249781391305089,0.6553166510453833,0.7363647118786242,0.7804165038741657,0.7032789255709369,0.7170608218829018,1.0947166790288339,0.8054883248652469,0.8318078245171048,0.7193000860192773,0.7695196799595505,0.7505330437890481,0.6877714598278883,1.0230362751463373,0.6918557240216511,0.6820276587038374,0.811229416052408,0.6033817016103428,0.484456445240344,0.40517778205539445,0.4537918396770986,0.43383451969288495,0.4060660406240609,0.4717960744282955,0.45713947249781733,0.5574294965822504,0.5626964528537203,0.5163885480911287,0.42264382954769725,0.4244194299892809,0.36867299411433835,0.3607893997167589,0.3795909616771533,0.45305061058475415,0.5076213330181678,0.4975195581346089,0.5181755408515473,0.48602867228477986,0.5887824996504029,0.5031637730619304,0.6294330708078535,0.5426019041688382,0.5356538898098032,0.7295377976329461,0.5840531771633376,0.7046979216816153,0.5048136014928575,0.7004684621319734,0.5956769844758393,0.5071579779809711,0.5206206225715014,0.46285901699220205,0.49134258994166896,0.44198021323628167,0.5148023073265445,0.5004349135576559,0.49531689167353876,0.6143939333963027,0.6579363333303964,1.3307820893615991,1.7746252595198555,1.231379928312864,0.8565804771874922,0.6799074279721311,0.6897908588251399,0.6483565736271558,0.6608885165163808,0.5193714577671972,0.5342246521812393,0.4940274416887999,0.5222763937224634,0.6059755082810807,0.6379821951348457,0.5855503859494608,0.689676488727353,0.7279910850958197,0.7463364973222937,0.5936563601386847,0.5474056611761764,0.5958801297594297,0.5558212125875561,0.5784652981057251,0.6622605830944762,0.6595472803529558,0.9447237931328133,0.6656946983314403,0.7092700853308669,0.591560296669197,0.5899575447702178,0.5816394948694176,0.5740294214769793,0.5544496697973831,0.7405184515226167,0.7759185214510423,0.8168976121323858,1.861149893478558,0.6832051910054975,1.046275213455679,0.7935162776297561,0.6858167384470717,0.6327751132206753,0.5364250231990215,0.5747803626544173,0.6639084117185304,0.5325241796630674,0.5448371874939726,0.5735787670128414,0.6228924099109883,0.6859818473519448,0.5679837406291137,0.6099336471378187,0.6838317520537774,0.6770826046492763,0.7241254344962111,0.7304977354366095,0.800008162412106,0.7583269188737563,0.8051765252978687,0.8633759714854343,0.8569666108429224,0.8810468593550355,0.956504618410831,0.9141466891610771,1.0544173838077926,0.958263892030489,0.8331121256153657,0.8879849068936619,0.9085798163697915,2.4026408698257926,1.1964392796685488,1.848192184268,1.0639972460364284,0.9558617453399967,0.9335308516109649,1.0077374047661483,0.8229969841201739,0.7221755070644417,0.8904457110843106,0.7935300237194358,0.8831795833742595,0.7199148891274538,1.0375340928084882,0.707017614289072,0.8183735425292046,0.9425575761117769,0.6559271266541219,0.6880271097860542,0.7486673482309122,0.862486835804708,0.9977831531124277,1.182417047850668,1.1323664191621963,0.9442035504109784,0.9363908662307905,1.0784063957354784,0.9318664723549716,0.8145493797817316,0.9913804467937962,1.007029730000612,0.8289355962066824,0.9550395035905226,1.1213316297981089,1.0270896180453906,0.970595537341876,1.0314079371872154,0.9515588234030775,0.9236179285054019,0.8646193368549855,0.8855163354596434,0.8796736557779956,0.782548274145461,0.7811143150958106,0.7928622392372338,0.8119440439169252,0.6902072179495115,0.7461768568625704,0.835872647154367,0.7849427857838874,0.7291662517976469,0.8053695390336408,0.8974428417956549,0.8238948991363041,0.8582665580090573,0.9130608115457522,1.039573545460029,1.2031683611201052,0.9409423690725173,0.8132461553947488,0.7966757259517142,1.0159400372527183,0.8611357919981079,0.8734603440120058,0.8243625813116681,0.7194958182020981,0.5833351728492796,0.5253826944172035,0.47335829734748447,0.7185002819085415,0.6753568181298231,1.0703356763729737,1.5399965807377483,0.8325568460316752,1.10530759482543,1.1882055325556868,0.8292182770310984,0.7612488254393224,1.7835106758678783,1.6987362539927384,2.147985237017512,3.257482645260103,4.237327777386692],[0.7465960261676515,0.5348182318035265,0.5490163518139789,0.44419546158323964,0.38734021314961203,0.4321923845581983,0.3466519140156502,0.4563778088982973,0.3576441360699036,0.3690129840310375,0.43794897765083063,0.5325326811396904,0.43709784372445093,0.42167712496821746,0.6347039803526298,0.5496301197751243,0.5161062356594596,0.5822480834556817,0.6130027623399245,0.5836651586220125,0.6183700239041632,0.5933619651682951,0.7648430878126253,0.8371254292467137,0.6748269207600992,0.6396873259216286,0.5322979075182251,0.4990385160389839,0.5070097073288635,0.5556611811257399,0.6301907174636194,0.6318095560632188,0.753308844002248,0.7007952363932797,0.632344237757624,0.5896433251137989,0.612234986188391,0.5345293513155684,0.4887541651111339,0.5169786114409076,0.6212681856918981,0.5469354096951329,0.5435002998815426,0.639438536927293,0.9373625665405781,1.3695689121125403,1.2881284367676327,0.8273041869893557,1.0939729140200263,1.083771363930565,0.8868244874686547,2.789618617390242,1.6888059875507115,1.03413175444925,1.3399994529553936,0.6793776499291715,1.1198868251352154,0.6356389334859718,0.9649835962327697,0.8713586797789636,0.7287568215614185,1.1201438494842746,1.0977855429673373,0.9303397348398782,0.6808850922159817,0.6846548329650625,0.8656152210738443,0.7225597575214748,0.8535087662897427,0.7495492451770794,0.9613911799732483,1.3751296978974314,0.9680051177357909,1.0107640941603537,0.7610893179349076,1.1694806728113067,0.6884114885152653,0.7193250765319208,0.6558725053707166,0.633509533984307,0.7221624909556883,0.7351199287330727,1.2418396921411043,0.7716691467126761,0.6280962489652492,0.6208588544278675,0.5918182384190742,0.7408812517461243,0.5977986183045677,0.6821108519892235,0.6872125600343653,0.8156131095602377,0.7576201706710505,0.7198138618618786,0.6495922142503255,0.7269801043451486,0.7737242187703275,0.691053830835454,0.7017026135349712,1.0901048564379163,0.7781743333229807,0.8006364096273895,0.6816522051051228,0.7324600836191206,0.7035314142784651,0.6642813717542604,0.9994800508500651,0.6537456343240394,0.6363333458032048,0.7958152958629898,0.5935935086516215,0.44442795199823426,0.37376106565650663,0.41049421194128993,0.42741478178602516,0.4062526348187481,0.4658138386631045,0.45877320318615566,0.6329682726298145,0.5933961546445071,0.5418393176074319,0.44045299648811514,0.43715560088148353,0.3774212925554989,0.3370494216164148,0.35103048349004895,0.46615021777843496,0.4503076700113097,0.4636772860175858,0.46593239764340233,0.4290769546193754,0.5499415812776756,0.43803968806278964,0.5771500762715668,0.4732536165096508,0.4681244592749642,0.6855255898517857,0.5296550105052357,0.6391370476026338,0.45754901979655777,0.6986769431817227,0.6406963219967011,0.5269455982943488,0.527085696818017,0.4553057955727321,0.482916580323491,0.43124973821122253,0.5028744965558765,0.46021838882444555,0.46976845301205633,0.6006526191099566,0.6656184113208399,1.3084625740491267,1.748305500001723,1.2765797800449845,0.8346556453534817,0.6563292490477487,0.6647276668461517,0.6251189058911062,0.6001418515641479,0.4661927953734006,0.49592469291109437,0.456347460144851,0.48681185996030213,0.5431079869869008,0.5866803202490368,0.5291481518283262,0.6684198573923685,0.7018320056047259,0.7120301102636751,0.5504124728449118,0.48801763765673306,0.5419194592597087,0.5054268516698969,0.5295990282045461,0.6156583656692161,0.6217067590167825,0.9103275568631904,0.6209342876124274,0.6638486205937585,0.5469268553262109,0.5394227349114781,0.5240656903832336,0.5177869959213005,0.5190880609911169,0.7258826296012166,0.7796820396914186,0.8027862733112637,1.9018186322028978,0.7029475375962958,0.9988915832303124,0.7998500175411489,0.6579312162526343,0.5845597047215627,0.4858464469123425,0.51107450204107,0.5919556281291457,0.48179671729510404,0.5161540769965877,0.5616677411792379,0.5820389785082014,0.6489021675940442,0.5320448863863193,0.581294198435649,0.6457907772635405,0.6352790032480692,0.6876387721597418,0.6930606368017895,0.7745044126636903,0.7097311486960076,0.7607964808522419,0.8180022204339593,0.8067006509516481,0.8345954500274517,0.9134793601236402,0.8855113665184563,1.0139109744192751,0.961583500696198,0.8013562966587762,0.8615469736686486,0.8895670149370163,2.2196345591683713,1.1867454215821092,1.8281990559677053,1.0292444993147405,0.9148122508831761,0.8923557921446226,0.9421491074230911,0.8097349410508864,0.6674235172451976,0.8183343734010737,0.7441063691330781,0.8778146842213819,0.6930166516359211,0.9615717996709925,0.7332115104335754,0.8389587536809704,0.9219390301709427,0.6469739602654986,0.6491034710641909,0.6919946308104312,0.8033314499442022,0.9476755774582921,1.1404836889659653,1.0874184810441756,0.8960136742415044,0.908855386303409,1.049754755003401,0.9037516926236029,0.7990647162208276,0.9954953703079104,1.0256848930381781,0.831485600806577,0.9579847596037564,1.130663529721292,1.0302023550938164,0.9490045705913835,1.0235597069886946,0.9322791045427768,0.9058074206924474,0.8363700845025328,0.8473673013448643,0.8592185464203462,0.7519617966744518,0.742302330267159,0.7618706459380843,0.7816646012126709,0.6570244933291887,0.707540739215734,0.850202257267116,0.7843784139361331,0.7363371173339596,0.7864332286527721,0.9335942944370014,0.8296630268355184,0.8637940445706307,0.94042185032371,1.0538202680225142,1.2486514487003237,0.9500909232467538,0.8093384933127137,0.7623936447337486,1.0072284992277825,0.8578994027319027,0.8975264226531752,0.8440742292027551,0.7189908224367701,0.5613845531326999,0.5089415851175102,0.4831697072998777,0.642157336561482,0.6428832025739901,1.0075719528999456,1.5185742764963617,0.752172006064229,0.9985879803603305,1.0452094135469012,0.8272361881682421,0.6982839613862553,1.6096309927767307,1.3394692792882477,1.710413063925497,2.6710671293248636,3.6557153053447897],[0.7511215711969007,0.5708890315026889,0.6119916077412025,0.47906514055947014,0.4501190258117389,0.4955607071577663,0.3834553019590031,0.503546854853327,0.37575824613591485,0.37151114664128515,0.44150776917484263,0.5536118902813785,0.45692665415483785,0.41405525434013063,0.661310348545412,0.5792276664156915,0.5203771647429618,0.5878031499517321,0.6078394605604929,0.596214094969168,0.6226599949422511,0.6036191993410774,0.7609404505151851,0.8421936881385876,0.6622841472147062,0.6198507909121826,0.5335406157275453,0.503336044999918,0.5199223580712496,0.5761471028733137,0.6591670078796704,0.6797572303931073,0.8089701507817064,0.7671843913163688,0.6871363035169862,0.6208996222739305,0.6581881504364041,0.56936209508099,0.5253096625194883,0.571848637937204,0.623265294271018,0.5598661217070837,0.576669037136798,0.6369000584784397,0.881818145861145,1.32381572720409,1.226468951555592,0.8100408098172501,1.0730237366640707,1.0518070821107082,0.9176116000415104,2.8702869431703664,1.8009487565612015,1.1179170421831135,1.3321925294993548,0.7660310060025307,1.2157286373076586,0.7310561411061602,0.979750912153129,0.8996454340902973,0.7847300170981552,1.184608693900264,1.1537562503313008,0.9721634227478373,0.7030895384438677,0.7040912758005078,0.8763618861675863,0.7483551533257774,0.8620445047792175,0.7688308624567745,0.9726530088010221,1.4187329778117128,1.0083477617970327,1.0460367001348634,0.7892190421321219,1.186660847853981,0.7257857221356709,0.7674978455241978,0.7050990873227904,0.675721216493292,0.782357994822373,0.7962560009001186,1.294689948720944,0.8672174298380386,0.6829883027113288,0.6795796022931412,0.6341172277899259,0.7842971570365336,0.6372735871177255,0.7411373958087181,0.733838202827834,0.8480839723700276,0.8049102688408397,0.7754675123501409,0.6900437169825272,0.7730729583049786,0.8122983905737005,0.7419197103350772,0.7510645564042316,1.1340549872030146,0.8391179758542414,0.8876009527254269,0.7611571673165941,0.8184217535124266,0.795293958223916,0.7525482565503298,1.102344279112768,0.7626449001219515,0.7421847716615425,0.8735786741161872,0.6745286089913262,0.522943940212943,0.4295869316625533,0.4526467963333554,0.4432445890158588,0.3999863720342023,0.46952205248218326,0.4388440604362178,0.6034049168264974,0.5741762762385464,0.5255711493849947,0.42692258393491733,0.4183407661898081,0.3628777386774438,0.34860953078442436,0.3572173573271946,0.4862097399124729,0.49872245064062104,0.5416158627431518,0.5703092777233855,0.5134518893200417,0.6523097899872093,0.5265388632376279,0.6747509882611394,0.5440185190604281,0.5224257931544772,0.7117167946079397,0.5653208273300848,0.6575009037957233,0.47248902469818244,0.688348556261343,0.6047573933070696,0.49454523992638044,0.5269547470813549,0.4581295664198209,0.49561285145208545,0.4454851113212608,0.5296664003094744,0.5115581555196747,0.5094147329539145,0.6512070548290677,0.6856595363632997,1.3241391896876349,1.6620565905902758,1.1681032188881788,0.8778459894463987,0.7036770397630703,0.7271122353927614,0.6646579144510155,0.6826148288813007,0.5323483274899219,0.5484407329666208,0.48794195910072424,0.5311296657814997,0.6043657958401489,0.6087122010104684,0.5672373655494233,0.6757127114511756,0.7233729276563801,0.7262828360214059,0.5776054766549258,0.5262898270231707,0.600466506109442,0.5676100224558568,0.6031119604933814,0.6994821341515777,0.6897335475788657,0.996858409401545,0.7006138750770872,0.756395693072101,0.6194295878409971,0.6269285655168269,0.6186123678631833,0.6022849068788318,0.5815946749396508,0.764538791220397,0.8082813112546172,0.8143017240304579,1.9059624943757736,0.7043702076626609,1.0249165348149847,0.8020321667708065,0.6723955438843954,0.614004906046551,0.5463893085833883,0.5883376028459633,0.6296048855374848,0.5771292222174174,0.6137744708124433,0.6460662389055495,0.7107572247703055,0.7656098806321349,0.6331069290392043,0.6937015154351331,0.777087662489329,0.7454819209194986,0.7584219713070413,0.8046833255391844,0.8958130457532272,0.8070628048267103,0.8613593142905419,0.9343736095652106,0.9063358932688065,0.9373206640803796,1.0308993481429565,0.9936274737285208,1.1183547686315278,1.0707811293487366,0.9267691979914574,1.0106403958843917,1.0529274961819122,2.306061109382464,1.3196379398540174,1.9307065708799702,1.1588715597954033,1.0821078834391529,1.0456381175264156,1.1101012781146353,0.9741969543572384,0.836842808077158,0.9732400702908444,0.9007542157740104,1.0021146450068572,0.8214195574715193,1.0366210702826926,0.8354238345894003,0.9216066727306451,0.9584135122375254,0.7415616821336576,0.7720443887500528,0.8260669998926408,0.9334428307375058,1.0603228494930275,1.245925492717096,1.1988712062744016,1.0231258321745411,1.0727941317419218,1.2037251259611483,1.016297527375676,0.9388583770794267,1.1262374134417958,1.1303018453876839,0.9576068288137273,1.0945284239356483,1.2428891348093676,1.124430053956162,1.0777555139353938,1.1777165348782008,1.0787308974723604,1.0606888749162577,0.9872072686598953,1.0068667557172972,1.0267180189236595,0.9021998583881498,0.8803190525236889,0.9275540990920363,0.9331297946288736,0.7944174510552787,0.8598486379447765,0.9792485734408435,0.9053116498587208,0.8442331444763612,0.9199514811941659,1.031858951653001,0.9268442448723361,0.9596156274573816,1.0285781335962667,1.118539272460858,1.347519855130863,1.0396507776164636,0.8985296174844745,0.8487077057835918,1.0801648807144921,0.9224732987045583,0.952072586483486,0.8925860475985468,0.7895129541938318,0.6233231056182114,0.5906725458294458,0.5430409014722032,0.7300185246564751,0.7612024200788016,1.1478039745367572,1.4791736021073525,0.8463403818271724,1.112501787596791,1.0956381083585771,0.8834443666025166,0.7746059781393027,1.6813597309083996,1.323692143445448,1.4828900901584017,2.543443130130065,3.615663871452934],[0.7606212838286951,0.6263847997964311,0.6294831482036424,0.5488777707042576,0.5134366697672172,0.553887177552158,0.44436596481214674,0.5414250782568323,0.4140163648344896,0.3998598173639249,0.4428624522636897,0.5500145930246969,0.4555110761210233,0.42288978853827647,0.6425697245364569,0.5620445011461933,0.5173947802979352,0.5767756568523935,0.6133408394184208,0.5790958773949862,0.6118282480864267,0.5782088772611448,0.7616377700974352,0.8291609408143944,0.6699193329040345,0.6311888582700703,0.5266622436908659,0.5005318267942348,0.5015507533221616,0.5585563193110702,0.6306657154065138,0.6603852817379717,0.7838266369191601,0.7409632611593724,0.6562972024204188,0.5903391541657974,0.6302899792944068,0.5393110939256541,0.49888073626414964,0.5579275047731663,0.5865197147242144,0.5478335555051589,0.5375778969894792,0.6489517092182665,0.9136088913855043,1.3476078844278478,1.2707313283549482,0.8180317489202612,1.0798736326694571,1.0817978103207633,0.9322636688049365,2.834257505857868,1.7752659980338057,1.0993036988391327,1.3755283803362877,0.7410866085665925,1.167943802020316,0.6943372671777023,0.9659809858406232,0.8786826828768378,0.7648520031235799,1.1550693967876005,1.1445978895875957,0.9759872802235077,0.6853862828669889,0.6936636578574135,0.8706510963724376,0.7295390462590828,0.8777462487142573,0.764078420040307,1.0036685790894955,1.4317463896389209,0.9881314763054411,1.0314049925913102,0.7754608937399032,1.1973111872344897,0.7144885998965539,0.7375056479595811,0.6661290939767259,0.6351956286992542,0.7440510173530798,0.763453632454542,1.2772610254547707,0.8434267079622891,0.6629783607388682,0.652731011915583,0.596909396756467,0.7528501016230584,0.6050075378553357,0.7153025963609678,0.7090335746238017,0.8326977931115414,0.7830128829650792,0.7532295141244819,0.6636056671473897,0.7468680930510295,0.7725153296584714,0.7162695287998608,0.7315223568858318,1.1355712464022327,0.8301872782603054,0.9066459990950495,0.7545589643765426,0.8323043838604195,0.8027293547305383,0.7720854816596733,1.1225358851400733,0.7955245132081306,0.7770424921559613,0.8852865144305091,0.7173239734625675,0.5581685075208662,0.47283827925032135,0.48132745828828244,0.45834217341457784,0.4343441017710747,0.48078180462408615,0.4735291625140149,0.6573005898966627,0.5954323958651605,0.5668139895469368,0.46126943347951666,0.45883025890346935,0.4122696724437718,0.4133417465560993,0.41740311081155546,0.5470975342068579,0.5367117415693338,0.5877059320600211,0.6046189072999205,0.5670469610997491,0.7099413396852213,0.569888090073481,0.6961091210358012,0.5734529590806382,0.5510781352719379,0.7368385573380754,0.5783526360432887,0.637665433656075,0.4805055592892983,0.7015121401613699,0.6285761815097557,0.5262355249212279,0.5353357182328725,0.4615194433471955,0.4895963826137817,0.44726244349572636,0.524236154380799,0.529445020687238,0.5425145375273078,0.6864902108713752,0.7191625781926229,1.329854838659963,1.6209451118842706,1.1702012248767557,0.8865405663736903,0.7126840474836557,0.741196227935773,0.6600423222090368,0.7026628063700554,0.544111402639868,0.5365953805950541,0.48745962257304054,0.5380427226901792,0.582496235477254,0.6369246271029428,0.584384057021094,0.6929743008918158,0.7449972613697698,0.744744416823241,0.5960791638911402,0.5368657948479053,0.6037257212396263,0.571640233418529,0.5984801557531109,0.6930523863257982,0.6805175382719593,0.9891998235940295,0.6887662354476332,0.7453177328869232,0.6194524926333528,0.6412871487761228,0.6345070046889817,0.6082964479798648,0.5902020513202519,0.7521471677729863,0.8010613829665306,0.8116204007288171,1.895712196730095,0.7188625259356245,1.021746301895993,0.8034836788209704,0.6982834974447618,0.6482599714991112,0.5901792605917957,0.6270950461675342,0.6382929802075039,0.6192468123251854,0.6614347304153211,0.7031340666014364,0.7585337472153623,0.7999914930917995,0.681670685666207,0.7430682564512411,0.8162983811019859,0.7819058940441753,0.7891290054097873,0.8531751186750512,0.9419501283691987,0.8490262987385505,0.9167433730560143,0.977215979692952,0.9395737350681502,0.991109212840876,1.0868225211675104,1.05352964038952,1.149267515716987,1.149567721292936,1.00119317598107,1.0719219297562137,1.1201146810485372,2.193481660896587,1.4119502727584095,1.9678135402914037,1.204934831729221,1.1350215879367962,1.095855719509518,1.1348259242132646,1.0395280032526024,0.8904652766121692,1.0030337123226603,0.9427095387091833,1.0865734175820079,0.8921614962811891,1.0542711566388292,0.9406788908007829,0.9658679917631242,0.9653040416541295,0.7997010600359233,0.8073287367458828,0.8466621632212574,0.9545594182642024,1.080058072787095,1.265015395588779,1.2169941322462527,1.0553248582124557,1.1299675320105946,1.2372734762547692,1.0436446515784141,0.9793205128694211,1.1760405643172431,1.1809036394001604,1.0051289111824506,1.1575084013252306,1.3033025451018283,1.17001069792885,1.126546168022162,1.2404506027038067,1.1336398088392152,1.12501819252208,1.0479005348000037,1.0659973705760613,1.085918283656603,0.9512924018839082,0.9441668844185696,0.9914783554529333,0.9915622202664387,0.8584177660194687,0.9332606132664342,1.048801757659479,0.9814087558659322,0.9133978752493912,1.0048706952870756,1.1280758973356448,1.024350792008939,1.038606537337047,1.1425351754241795,1.1930764867198167,1.4430032081329003,1.1205418484423733,0.9695006430823323,0.9040797730951151,1.1419077109377866,1.002821786995478,1.0476669462590362,0.98022604576904,0.8671008825526836,0.6966646661907074,0.6365318579604782,0.616251057738124,0.7893940914694743,0.8056872050893094,1.1399707881167769,1.449177886080815,0.8282331289841625,1.0950494377118218,1.0216312204114066,0.9053074098306453,0.7894433112479002,1.6026566350536253,1.1204800709066531,1.3265977616651359,2.33137323594614,3.425886097802945],[0.9153553207783004,0.7776830080749726,0.784763445074971,0.6732261374382325,0.6488854704335272,0.6370670042663252,0.5210611702780629,0.6324704534192689,0.5003003729944995,0.49524538320047423,0.5815261662008495,0.7023303259422745,0.6074001460521937,0.5255402456438524,0.7762389384995665,0.7156866388736626,0.6280382473479089,0.711374189755641,0.7085202906410784,0.7106841387268906,0.7348760114547865,0.7311500938313921,0.8559370452534235,0.9171318665727377,0.7424818805776318,0.7008449147369954,0.627316293606815,0.5966767753145956,0.6443401953335537,0.7175213871490279,0.8328302282654213,0.8342596580223748,0.9854876847504696,0.9642325890479141,0.8660601991482727,0.7841307706884735,0.8024831405525809,0.6881897534397837,0.6268918951050828,0.6915314326647997,0.7166533214732409,0.6879013661921022,0.6934990713540753,0.734956329705125,0.96243273952908,1.3846768788163055,1.2905682061240453,0.8995808070769911,1.1451873736135287,1.11790198074628,0.9885899290173162,2.8844778518992675,1.8554480917270053,1.190539467945949,1.3993323306948486,0.8851902589249765,1.28119606461288,0.8622907401173115,1.1379463961748841,0.9803178073395097,0.8760419233098257,1.279318810086143,1.2474536879390574,1.071904681615754,0.8288513963667742,0.8216922608041692,1.0070582873036233,0.8811912203374984,0.9434335840908088,0.8849765855559096,1.0195248344911674,1.501913392209125,1.1277041775750667,1.164787503099511,0.9512278007969881,1.3256348092300725,0.8987779085884459,0.9611111737346156,0.8878560206433652,0.8436190088604246,0.9398157779586437,0.9217026939546549,1.4043940474324035,1.003392757813803,0.797094565898105,0.8034745377111109,0.7588593770960118,0.9225491309433117,0.8085328471674076,0.9320997563340742,0.9225716388033377,1.0318327937747092,0.9999753496974941,0.9719609946140326,0.8771993661568942,0.9857606460581055,0.9770884651509022,0.9093410884744734,0.9041355164283683,1.2387630730529602,0.9867264850198371,1.0425078760078725,0.9146543820585158,0.9589370540016484,0.9407262826202483,0.8819572366169987,1.225816927044624,0.9205265129019005,0.9021437882381625,0.9703346784499877,0.8181503217254472,0.6657472251416584,0.5796892499299626,0.5735759107489121,0.5318373012865751,0.485290663020845,0.540733809191924,0.4916030705754817,0.6535795291087815,0.6513725264995472,0.5900512114614475,0.49965037893615505,0.46124492159364794,0.4381200721828501,0.4677409724765642,0.4890352256874308,0.6399551177998914,0.6358652232245126,0.7006843072123042,0.7295342213564204,0.6933913071555361,0.8319147881370904,0.7021204704237342,0.8303240700079391,0.6787820827929698,0.6381946029091933,0.833700715162909,0.6393472360051382,0.6836747857296482,0.549860774134212,0.7040160527274848,0.6360601324914521,0.563351512050009,0.5837521394459447,0.5398402032703465,0.585868683329599,0.5321274071661996,0.6205158763877808,0.6309753393947793,0.63054857895576,0.7733870984374375,0.7839424195447144,1.3734573292208667,1.584060228385593,1.17094666058781,0.9958345144445011,0.83255846370423,0.8525458999287715,0.789861016062323,0.7994110492378044,0.6503461872393436,0.6592854655880244,0.5616210778523429,0.6022147495501478,0.6920254017675455,0.6690660008197913,0.6479864272847622,0.7227954275633136,0.7891920382317296,0.7746597544325352,0.6591165737919967,0.609484276962201,0.6844952699394654,0.6781309501888628,0.7144457158031831,0.824913940541409,0.8125786452613648,1.1026180510308792,0.8222255353420117,0.8844535644087512,0.7197097184903126,0.7700800743663732,0.7657712948999905,0.7291829927041144,0.7050028167540007,0.7901739272603309,0.8233912133281514,0.8470753884786867,1.9098078594237837,0.7260926889535944,1.0480645732946805,0.9000651119550254,0.7967287759583769,0.7474293726213372,0.7187478975914305,0.7575041935470685,0.7640976702720361,0.768818783093629,0.8144654368961789,0.8291033188809984,0.9293064401932142,0.951755401428344,0.8182232346916293,0.9133426943061559,0.9995522880735622,0.9453228273296111,0.9568043423525115,1.0451315540720698,1.1155712070423576,1.0294025535052664,1.1195619307701956,1.1872112387847265,1.133652183525206,1.192415046636428,1.3145830529438132,1.2702031840128374,1.3721914905600672,1.3645821522260009,1.208459158154377,1.307592055069825,1.3546682600197342,2.4073393546900568,1.569526407940806,2.0534783177583917,1.3702368947012233,1.3099634941238127,1.2538436543099996,1.3214190784013142,1.2121504042151787,1.0958378491728518,1.195441822208833,1.152554564896287,1.263378910594412,1.0755324167399776,1.2174940996765458,1.1069055489901793,1.0967968829322263,1.0738954164664252,0.958115682944521,0.950375573750585,1.011305513450197,1.141620833571463,1.2400700969305092,1.426276206900721,1.3470207793442346,1.2125294039963137,1.2962783757331442,1.3822344770959085,1.1673784126670588,1.1217954874071663,1.2941740292641282,1.2677342080973768,1.1381275622009783,1.3128132473153855,1.4299440053610508,1.3073095138060127,1.3210059528378775,1.4398786184144545,1.337168214750692,1.3080052772790927,1.216400625127728,1.2471015961253973,1.2956884941920013,1.1522234346139015,1.1288069504067686,1.197475241341062,1.2035147852379642,1.0495102857928356,1.1352967390471609,1.2594318639617605,1.1708924173324229,1.0771208588916141,1.200750810072356,1.2904517127888357,1.2070374129732941,1.2282871556341413,1.3376550956778264,1.3453584305854067,1.6424606152985708,1.301223411799925,1.1603996737868734,1.0875380866803117,1.2797527455239581,1.1469161495664055,1.1836792883478273,1.0826252604667848,1.00437862861471,0.8302177595684745,0.771845862055314,0.7082231992854319,0.9321770318859987,0.9339126975415252,1.274003505109671,1.4329356811950675,0.9216405363474502,1.2362378811460617,1.1000587279812912,0.9444305539994479,0.8996479103702394,1.7162554632114708,1.204890086868541,1.3803953260849262,2.4372666809119794,3.513245487284798],[0.9473625765590914,0.8302992949559437,0.8581686918405209,0.7334271572878086,0.7020166938393629,0.676164131679962,0.5793528847507293,0.6843697823604866,0.5887797453398956,0.5980347054649386,0.7198034743276809,0.8699441238050637,0.7435414664728118,0.6474100663510978,0.9225973745165171,0.8766830180754539,0.751998132600607,0.8376109245207136,0.7901213408565677,0.8301338448954093,0.8350401600431602,0.8410770605593662,0.9277949450232327,0.9267587559302639,0.7918374776691663,0.7547460634263014,0.7146547797583577,0.6991571257948062,0.7810763397645297,0.8540640399652725,0.9694611168391524,1.0151517233492329,1.1552286193438785,1.1465737608654016,1.0321224473666597,0.9232460351935711,0.9484561597993488,0.8294170732766333,0.7605618088499396,0.8118523830626103,0.811034643627934,0.7954003123677214,0.80900016856783,0.8166400447810537,1.0721388622872885,1.4886977324424189,1.3573461851647182,0.9607846042140844,1.164129942357766,1.1409723727322303,1.0551441761951854,2.7850335690065027,1.846614548603813,1.177541989251327,1.5676095076291205,1.0157623220532999,1.2757945008169844,0.9362597088423663,1.3445497955012415,1.0613439511834886,1.0119896193402287,1.412537865976856,1.339396510952371,1.178184114500777,0.9500525884802717,0.9567258196387336,1.0779948897273608,0.9949861008846907,0.9960947101365935,0.9717951102477526,1.0959364952969348,1.4832139220039977,1.1883135153872615,1.2269515576159458,1.0703384601736246,1.3699303944297119,1.0213453666111452,1.1210215606903284,1.042765871569361,0.9912424963781796,1.0776363479787578,1.0869560478575289,1.4953462519552958,1.0882893226070074,0.9120506778935867,0.9382843235569869,0.9060707855502625,1.0502331810682681,0.9426958188860306,1.089657091552546,1.0651925646164586,1.1577075908202055,1.157996752908719,1.1475896133396226,1.0378328839096185,1.147340678839598,1.1016257292873137,1.062552050041726,1.0634225946491238,1.3688080084391197,1.1578608789935314,1.1662701674806666,1.067881570556583,1.0788490784417368,1.0570557047089781,0.9680192962858876,1.3131626047836071,1.0139205966768425,0.9824125817354771,1.0430310997653514,0.9029374961489162,0.7464576089431713,0.63044776289802,0.6054345522475166,0.6029661779709687,0.5433526577662285,0.6389738552852593,0.5575904166296679,0.7187317886104849,0.7145044198244551,0.6761734845837956,0.5874549512722514,0.5209137342198611,0.5160811078438028,0.5075689637856265,0.5365512904609948,0.6846818866246209,0.7015475074955235,0.7850765874899043,0.8091736799137716,0.7694561743786962,0.9053988224186863,0.7849132567648134,0.9006143211821579,0.7656425012641299,0.7206543212506693,0.8899711965813171,0.718562979363428,0.7621062066463068,0.6077040620715294,0.7676541886014864,0.6698434312199057,0.6119440328296346,0.6406661261973013,0.6594541308091598,0.6963519365721386,0.6355809845092402,0.7161245076143133,0.7125447383608138,0.710543966820014,0.8606806260202127,0.8727884840694238,1.3869555223840735,1.4844138200651815,1.2678250899474868,1.0988273675653892,0.9626585101136423,0.9738366485122225,0.9187576670613945,0.9052658108595639,0.744665673181604,0.7632130968174221,0.6565038253750395,0.7068610718380508,0.7905024261667709,0.7309515636828365,0.7338407753946512,0.8245071409355672,0.9029002800696276,0.8732340480192696,0.7466461285558417,0.6944045192711614,0.7871084339747267,0.7939998478150886,0.8404419715630655,0.9406815534595501,0.9289017250207299,1.2279417727134847,0.934080770109586,0.9851598545787116,0.8443201671895546,0.867239984373206,0.8711363259665772,0.8443818858498039,0.7846736578908955,0.9008465561323424,0.9360772042070685,0.9185793294773212,1.9964368645113302,0.8079678557986847,1.0966742204428563,0.9134453799817841,0.8395293295018545,0.7989717325788493,0.7875414715846186,0.8456014217572095,0.8438552555328557,0.8590560659815165,0.901814476845579,0.8940241329166834,1.0036310379222966,1.0117085471355751,0.8871252299022205,0.998411764681467,1.066358718537811,1.0065365995095543,1.0420326825893216,1.1313609980235466,1.1704414090485302,1.110270478421761,1.2179482641038768,1.2756103735865598,1.2080173965485201,1.2981920888980032,1.447279769253082,1.397836205072702,1.4935696351245866,1.4975098768511765,1.3215082623867014,1.4183317628948422,1.460111241026353,2.474938748614398,1.6514308511022069,2.0916442613224158,1.4272570178321078,1.3733270292653472,1.3107110178703707,1.3830633984570395,1.2915747204542816,1.1856230410418667,1.2646748092102387,1.2389590476444186,1.364383999296402,1.1697179328036034,1.2871151885933165,1.2001465472597934,1.1915422672033817,1.1345998032906899,1.0463277534981992,1.0191425726329475,1.0756697936569009,1.1816845345283267,1.2688714282295968,1.4537753938195066,1.3912729221937299,1.2688276964393617,1.3346851548044532,1.4147580248521368,1.21381431831734,1.1684950667774403,1.3236199077612556,1.2992288855035081,1.1824192060838723,1.3375083442910118,1.4355375162743909,1.3212899016631194,1.361486480154298,1.4739767574166784,1.3905747811223308,1.3493053862407611,1.2652949602796817,1.3017760447933566,1.3572310551464968,1.2255920279585022,1.1960242837111283,1.290885117128726,1.3054801779578094,1.1468851221152425,1.2396989074465654,1.3787871288092384,1.2799167297615874,1.1786200607030048,1.3235886556297083,1.4106088745226688,1.326640641177412,1.3444783727198926,1.4806264092775259,1.4713921944035284,1.7739643070801365,1.432646586693341,1.2751081613398854,1.1954393464356514,1.3958338452637704,1.2577032448697372,1.2893157047404904,1.1784841822172927,1.104184449787872,0.9063738675854643,0.8553474334910134,0.7794204952576624,0.9821747405566871,0.9590432209506002,1.2645898986563864,1.3625825719971838,0.994299648712917,1.2325407021619734,1.0629737839053848,1.0195605884661472,0.9236131121638823,1.6537843476706335,1.1005816587565138,1.5643983831753308,2.631648854258599,3.592195447165403],[0.853081465254013,0.7440168850787998,0.7704575850918073,0.7031059353869853,0.6703571561211978,0.6708510908025961,0.5402043892723395,0.584612875670886,0.44007946366181766,0.4203250002626006,0.44011202889655504,0.5544460931918378,0.47024521935164915,0.4181523818268912,0.6271783585976222,0.5442202291253508,0.49843212256973285,0.5387443565966384,0.5481815107283246,0.5409601892108681,0.5509749299612872,0.5380313776880918,0.677041866100999,0.7597025741673149,0.6614897373707731,0.5909466126622144,0.5019471798768418,0.4921511172740101,0.49674552820551954,0.5491850378936998,0.6068006504656213,0.6661947170602994,0.7577438954094251,0.7192174581140147,0.6482167193288505,0.5704059445810074,0.6390770523840047,0.5535281999913207,0.5337257498025206,0.5848184632524734,0.6072029352978969,0.5359405306508886,0.5331928201325418,0.6243121041886313,0.9306984694919019,1.4028017885428001,1.276789682578925,0.7936489585554066,1.068007489442675,1.1026238464868818,0.9607584904753255,2.7635826805486667,1.7639406520050445,1.049561275900914,1.4412954581833561,0.7321182411315642,1.1034937621853913,0.6507181371822958,1.0580930837446123,0.8529797438253064,0.7191181395174332,1.1341863881507321,1.0683213493718862,0.8728157255534312,0.6014983821091516,0.6390335987333737,0.7998487852402442,0.6646782059270241,0.7835831988236512,0.7021134908085739,0.963155307230586,1.3825952226952452,0.9498813393430419,0.9602966722768059,0.7239585824973968,1.1292672907878099,0.6525318747485793,0.7125954569012575,0.643646129238259,0.6263039171523085,0.7665662102782458,0.7797758598706831,1.2437036022943797,0.8495467368957894,0.6959925679723336,0.6786348737477844,0.6128209536657202,0.7473852630115715,0.576591182768804,0.7047116904591793,0.6640930455702775,0.7787584312291019,0.7412719079669042,0.7204178297626033,0.6374905659930551,0.7271538603968627,0.7501570756748535,0.6959698430442297,0.7188613254872329,1.0907670072714302,0.8289121882648786,0.9152691829928299,0.7708763272551744,0.848494933061414,0.8409869419717001,0.8221964056123545,1.1866887986443964,0.8752792159541102,0.8589020692228216,0.9353388031637948,0.8048435749443433,0.645579702705138,0.5454460339370969,0.5520825455043993,0.5061184436535564,0.4925508899649565,0.5245540999710169,0.5115493842048602,0.5912586221543228,0.5730593913835288,0.5391558607757487,0.46547635932861636,0.49854527978286495,0.47687521804437716,0.49293863596738363,0.5162172876146122,0.6425721863635813,0.6406592042631467,0.704259955920548,0.6940619241124165,0.6827084559897573,0.8129439438114594,0.6839368675784829,0.7626851007456763,0.6792009508110364,0.6516708567502693,0.8384489558194372,0.6881446787248111,0.744577037540281,0.5748261778564385,0.7744890426346627,0.6617349155640527,0.5480717679506658,0.5492518584511042,0.508407263227381,0.5190014838834929,0.49242242215649207,0.5635976461803044,0.570236912933986,0.5761215789248167,0.7166669944700569,0.7045374861039716,1.2921252952920008,1.467408303066141,1.103881576514052,0.8631129349393376,0.7098703940998582,0.7612686411514753,0.661332217153058,0.7390313144419477,0.5985682911175276,0.5732212335840402,0.5548671858553781,0.5757565469212639,0.6519738781565899,0.7225650255850052,0.6830890016243658,0.7871460449050944,0.8658774826761372,0.8470287074977413,0.6948655101209529,0.6423476569979032,0.6742003757478231,0.6604700741461234,0.6447679235606657,0.7169872130796452,0.6944951733546606,0.996691673547636,0.7016836363797271,0.7646721877585422,0.6863183106304822,0.7032726200555351,0.7085849990514749,0.6910691906215818,0.6653428132555089,0.7830646759145371,0.813321542430406,0.8453216101576762,1.9705808429676368,0.7638075954248821,1.0479496848285912,0.8564582745364786,0.7982854693984026,0.7500317689788335,0.7061901621769126,0.7419330137226754,0.7436211397759824,0.7365052710035529,0.7919342253579679,0.797495714964602,0.8593917173189222,0.8745735109359788,0.7827626773419873,0.8661682784244011,0.9106358052954873,0.8726856884968176,0.9247331998823919,0.9630746759950951,0.9982463006919982,0.9525452616231651,1.0300962625606729,1.062891157175924,1.0155871942537988,1.1128614615455086,1.196070566866341,1.1802111722913748,1.2259584691688745,1.2736561528157433,1.097955692421498,1.1617778414354658,1.2077428476686047,2.2826150709730886,1.4595982966515757,1.9473451225138194,1.2431614424577337,1.1651513496668315,1.1336533351494074,1.172041733656967,1.0909726068954448,1.001503517614508,1.0809108092032764,1.0523132587728832,1.2159362356239631,1.0335412094892584,1.144471264646421,1.0794864274403002,1.087984714385435,1.0443423509674583,0.9338746609032454,0.8947534618598011,0.9387278138327948,1.0277084378511878,1.112625733157006,1.2822918451799643,1.2158518336748199,1.0967624054779237,1.1585117858348226,1.24262598862508,1.0586727466306078,1.0169086133174527,1.1886950920443724,1.19615315502984,1.0407203215986753,1.1680491278241274,1.2919061137036718,1.1803445634579888,1.1472849050604434,1.2490248208669006,1.1674604034200453,1.1425188570105278,1.0756596427412164,1.0975066148222132,1.1288495719247198,1.0235920504828657,1.0127353882698529,1.0709219048375234,1.0856682166003788,0.9694512818588754,1.039152182375118,1.1600843656858646,1.1038646663570253,1.0351359511228275,1.1241875838243482,1.2379791562857239,1.168475573468639,1.1970419085237634,1.286474000322997,1.3178818731757564,1.5839069200507114,1.2683910502794167,1.1208712445070161,1.0605322671308857,1.2843695410598492,1.1516595797973974,1.1849914686707332,1.104830993292251,1.0073926690445847,0.8306803397586201,0.7630397939410984,0.7284384186737171,0.9113435554237256,0.8653127925961284,1.1471692303168037,1.3634343122717192,0.8789775695671778,1.126985373075836,0.9698610254206138,0.9471575393032852,0.8637444853824382,1.5689943219151627,1.0090915482897609,1.3818271198504704,2.4149151348680835,3.431813969004741],[0.75246279481213,0.5753804015651816,0.6233263854290482,0.5185834081455083,0.4969473995585019,0.5316724832168668,0.4244062859672453,0.5270560500138259,0.39772690231996194,0.39085728690927474,0.4372629480647502,0.5614345299130478,0.4656510087081405,0.4008100466369093,0.6423040748575959,0.5597779797844156,0.4987329728932278,0.5526061569461236,0.551644266848882,0.5556240078717624,0.5608761534691847,0.5492337550816264,0.6823866570348808,0.7476302659318842,0.6426744039064615,0.5787242104811209,0.497985434466263,0.4871320329644117,0.5019541220276286,0.5602935467928083,0.6159075543802479,0.6647406393744043,0.7479062884210318,0.7117236035433411,0.6510928462815995,0.5860223107854434,0.6415794322847855,0.5573798741156535,0.5216120087967352,0.5741355465476472,0.613487916203307,0.5499235749414645,0.5503990994894651,0.618022434789444,0.9118943703683686,1.3776256777432823,1.2384386827634657,0.7860142821110789,1.0590940140950083,1.0777009230128753,0.9410815290782917,2.769745979881784,1.7653113537584222,1.0509979554701472,1.421614498495381,0.738530042440605,1.111652844023049,0.6612982463432592,1.0748123967871357,0.8566834067984411,0.7407291383334897,1.1495689593898366,1.0645835121932863,0.8635257863408289,0.6178419909212346,0.6464670298985701,0.8079281089369815,0.6786211158111756,0.7793359058997344,0.7110102563512893,0.9536803310884098,1.3696122299498739,0.9607819174422566,0.9636178089220432,0.7311658696769789,1.096962854736502,0.6581373159071112,0.7089524919551168,0.6499248917915634,0.6380595368830894,0.7720641749995837,0.7815828567132445,1.2425735117609105,0.8389432016419591,0.6882086812112548,0.6759817710582966,0.6218162810605613,0.7472477213629284,0.590201149051519,0.7001448532232485,0.6655951431850038,0.768468648797641,0.7334728311364245,0.7091293425678304,0.6419024377649339,0.7295196049122885,0.7618085541767049,0.6943095485943526,0.7167599885399852,1.0679807918415203,0.8182330524347554,0.8894976650831056,0.7532468852930643,0.8250708146022525,0.8086112813821201,0.772799335700064,1.1223096252873723,0.7965597393841639,0.7762614753529956,0.8749540135433059,0.7220265452332664,0.5711596860709439,0.46715781636024234,0.4739552746823286,0.4533343409098464,0.40953585162080786,0.4848132302948566,0.43763469404371524,0.5376291037155673,0.543483583949076,0.4998418508874752,0.4171952244409799,0.4087085917972688,0.3738096094668828,0.37696796718590586,0.3936314441199321,0.5237567691293974,0.5486020293059308,0.5962741896262324,0.6136009725149929,0.5680719511826514,0.7045864665395277,0.5832157717602918,0.7099247528871925,0.5945673787379162,0.5724971047943522,0.7610380404015005,0.6024066106512724,0.6870511962069009,0.49326067665019036,0.7012943343891096,0.5771265806486366,0.48472192063576314,0.5027529605671572,0.4687938397574162,0.494831507958948,0.4524549422826155,0.534332523762739,0.5318339525490251,0.5362512418499078,0.6786788104440589,0.6842944671200533,1.302053385233539,1.5358492555285017,1.1205028588761194,0.8517916584792998,0.7002203074913278,0.7377098688418808,0.6552467367361247,0.7085961392101052,0.5549404190473183,0.5516357179004897,0.5037285893801531,0.53642499324936,0.6201661142425903,0.6405268858501847,0.6075156433451449,0.717475701921307,0.7808435943366815,0.7733853786956703,0.6204035540436719,0.5661940910552422,0.6293995198239807,0.6110842794016206,0.6202341642113817,0.699586260543012,0.6843346391552111,0.990410532367225,0.6892195851718901,0.7496146099149062,0.6464449610140075,0.6614578915543793,0.6576963564829478,0.6384601001737193,0.6101299960600565,0.7563005476485122,0.7910202534877849,0.8179332648222326,1.9266521069197338,0.6938519623019751,1.0216772240495746,0.8080761492971413,0.7188260058527045,0.6604163905317957,0.6013382345640828,0.6340601347334686,0.666488360631436,0.6147137852944792,0.6502514970767729,0.6728109792876306,0.7235732070411327,0.7631963035915017,0.6521981785093828,0.7143945764749694,0.7762560505470634,0.7479673459800338,0.7817497505293258,0.818110605366263,0.881411542941213,0.8193455394119602,0.8792229829700512,0.9320279250989836,0.9014957065742714,0.9589128018758678,1.0459155692775561,1.0111515887883367,1.1148649441266993,1.0738176154529249,0.9377605400679663,1.0039645695758443,1.042682015126596,2.3018151179682813,1.3066319625051628,1.900612295607021,1.1407157581446876,1.0496108728188378,1.020436354766809,1.075277270324036,0.9565807558727508,0.8462680615854243,0.9682850126007744,0.9067526681528629,1.0355954324367953,0.8616055720398442,1.0603342701735252,0.8747177290691125,0.9342457748835458,0.9507047855492979,0.7682392632660338,0.7866821938807076,0.8234814890563492,0.9179665330902793,1.025572674053869,1.2030399861788652,1.1527007989093336,1.0025606727617997,1.033056243556725,1.147660256859145,0.9783000647976395,0.909313949573385,1.083134315752081,1.096892405824432,0.9300028201543061,1.0564189851161476,1.1972187988803307,1.09475009537742,1.047788249187508,1.1323463299650134,1.0492160034939615,1.0233402776161329,0.9558649841526712,0.9724338279643375,0.9951010037057075,0.8878511649242481,0.8791510663502089,0.9187036971287047,0.930370536390989,0.8108472843383526,0.8698479669384409,0.9834294505954365,0.9210399128366664,0.8638785602163626,0.9450995134821574,1.0447852046667747,0.9487858444717651,0.974538352353566,1.0449620820513974,1.1252891089947963,1.3455921332023173,1.0558760620992977,0.9145097536991265,0.8819471344211973,1.1160983227298795,0.9586416181502543,0.978740665610588,0.9238094853034118,0.8274059620541668,0.66803346904873,0.6241247821471962,0.5834841448839138,0.7785394049518166,0.7713477443830901,1.1090943077898487,1.4037377213812499,0.8381953605664614,1.0995036937744025,1.008091058789221,0.8947857075864913,0.7780661287973942,1.644578028587193,1.1602419481322117,1.3406069513451857,2.4127782713777024,3.4253776497631856],[0.7262574533994433,0.5083244423196587,0.4876434159563154,0.405933679745082,0.3561381106290099,0.4073618165312473,0.3187595917538642,0.44101233387580746,0.3436934787572741,0.347613768025132,0.41579274136678973,0.5259197163986782,0.4130392402196539,0.38367269523606085,0.5885922443128044,0.501763162846575,0.4626579249882194,0.5210104617729696,0.5348675100904077,0.5225637829451952,0.5472008776936005,0.5199717071604042,0.6776684242530421,0.7366830262697519,0.6383488857614715,0.5660025307425731,0.44911093906999167,0.4321572423840587,0.44420839355733577,0.48961157252998316,0.5695012987249356,0.5774651398814804,0.6830512076781805,0.635776451876143,0.5650374180914216,0.5208313027386029,0.5483749654011503,0.4688737431875439,0.42236084966327675,0.47431116505416726,0.5670715507688227,0.491895456879451,0.4813474074370681,0.5985187423888828,0.9332859629471939,1.3908814965443776,1.301036454557263,0.7877102060322322,1.050227334403169,1.089715256405609,0.8936059765827321,2.6936957180160968,1.6511274755389505,0.9530746333569384,1.425843323619072,0.6291219334193873,1.0223256312988547,0.5648339063391059,1.0325627556469983,0.8163207590324759,0.6669073869150313,1.058231922614701,1.0148587700715048,0.8319441537409725,0.5964615103994311,0.6191910920826901,0.8108821406320125,0.6636333736479285,0.7930972528208553,0.6983654361658073,0.959392648842064,1.3254935565187518,0.9301825577844309,0.951665528876099,0.6998396463716801,1.0853098644482828,0.6218312951472543,0.6480977786185472,0.583688297720043,0.5519550135519052,0.6626050279135569,0.6766938873559675,1.1788705198664469,0.6920357047576657,0.5730410046484647,0.5614573849273744,0.523098402944116,0.6742528668004301,0.5242740738090547,0.6300222401539245,0.6142813253877062,0.7358560632799352,0.684556835659989,0.6532624048210879,0.5949897110539708,0.6849626126923147,0.7292217521261294,0.6422989831365051,0.6520850204278664,1.0016757014775024,0.7225639682136186,0.7783496800751182,0.627030353413276,0.6908508635108491,0.6702087002523363,0.6490147423323408,0.9871910359426124,0.6275610770750863,0.6210067952755676,0.744674315354402,0.5864183081822956,0.42586702992359565,0.35232515651531443,0.3668467231864075,0.38662459927103887,0.356156433176547,0.43224419394060104,0.39501722440684045,0.5670959685384503,0.5363782339378376,0.5058810214382922,0.40891850500465343,0.3939783060351469,0.32592244891441813,0.30701177084119985,0.3058502107692771,0.45511133790117525,0.40445595249254207,0.43186013655418204,0.446829664521644,0.42287356307589896,0.5443987378429163,0.41369427612398674,0.5457038929660378,0.44567660843140977,0.43593387312232457,0.6461540833714917,0.5019890521720032,0.5963508707381419,0.41077403621303116,0.6630940848011873,0.5700309952309031,0.4483766932075998,0.45071145381612177,0.3876488847736009,0.41880780203017826,0.37214542390175737,0.456387774872141,0.4207655615135954,0.4424774943108945,0.5841854759725802,0.610562120354016,1.2105800409186023,1.541343854574882,1.1793502899104047,0.7491822792843171,0.6132213316990955,0.6282694089942431,0.5575247088881009,0.5781468605208018,0.4363945259118216,0.4517099489242496,0.4036948539025934,0.43464791179185014,0.5125243136018748,0.5722482277347333,0.5001719701343335,0.6371450073229851,0.6831545328598626,0.6867981175740427,0.5108241372910483,0.45221873299177534,0.5057657158130592,0.4818552298828424,0.4903814486231301,0.5670120467313651,0.5772250116474406,0.8906548793930419,0.5604464623365155,0.6149665267918467,0.5215419369501252,0.5200298099949479,0.4993311548408961,0.47906949539051885,0.4760173115488275,0.6636370992081646,0.7362763195066794,0.7512927513147379,1.9142535506476945,0.6533642333006007,0.9445903155655551,0.7220784398974618,0.6159528283581246,0.5492193019053521,0.4601504553050793,0.4889587999597652,0.5373062499692426,0.45249108893834183,0.4949100790816611,0.5481760596277365,0.5442049261996087,0.612514996954708,0.49975326783830093,0.541530678397088,0.6012532040766257,0.5875855831406297,0.625106838339052,0.6460901224142086,0.7251976324221228,0.6534559560959629,0.7146688916014143,0.7597536158533366,0.744276605154342,0.788266966269145,0.8659823084947447,0.8395053667093457,0.9672648359543434,0.9210154460094395,0.7609014043289029,0.8013618628848512,0.8378064588978411,2.1591401484916894,1.1580639048251182,1.7631438142159572,0.962564526199608,0.8550564908192224,0.8717054636449024,0.9113036536472668,0.8073525323810582,0.6601857228212901,0.8031745726459729,0.7409606913095531,0.9173171416286756,0.7194693115905346,0.9323532648028457,0.7713025860188291,0.8235154968137351,0.8918395958702086,0.6280486813197395,0.606220552655222,0.6422733679365942,0.7632920346086185,0.8880626919603962,1.0931586821901265,1.0307109697325592,0.8624011607769655,0.8687028460985701,1.0084907825543001,0.8759986428057699,0.7663003266185506,0.9574518296475621,1.0057123797544463,0.7992273277835515,0.9131464201946307,1.0842363055089501,0.9884897305031057,0.8882596325960885,0.9588013254074845,0.8703496931894299,0.8521299238096026,0.7880702038200565,0.7896631743359557,0.8064176428944906,0.6933285331642434,0.704024720208548,0.7115756410411413,0.7312383701861777,0.624943552503257,0.674775496433159,0.8207049841075975,0.7525228745062764,0.7120581118455046,0.7741477887836414,0.9148513640582671,0.8148393288723953,0.8543365023775924,0.9336828646377725,1.0306123927336066,1.251286144252264,0.9330946364340201,0.7704070043332019,0.731769377912759,1.01123925163415,0.8606922805993137,0.9009053723718011,0.8377011448102542,0.7092646492873764,0.5465215562805843,0.47840196967666615,0.4532449314225181,0.6272409050809886,0.6344526372605547,0.9350126895995394,1.4408570457287317,0.6393062128660802,0.8960172644888863,0.833228093512575,0.77044028050042,0.61755338321692,1.496359269124917,0.984918228886096,1.3066225662076782,2.2571895584078394,3.2044794618255006],[0.7303558593986447,0.47001050754613866,0.4641119550758382,0.3848804514482047,0.3303643571019862,0.37110799301762853,0.28562485110223335,0.3929188329222143,0.2959341450731653,0.30864682292627205,0.360886917041939,0.46547960390511783,0.3558126191127257,0.3489177843059033,0.5460061864115486,0.4546305153649839,0.4331073365032818,0.4924676869836033,0.5107814350157074,0.49324168513144284,0.5287788786383475,0.4977767611897924,0.6545202155361316,0.7182496808865845,0.6217497032153079,0.5556970181074702,0.4299307853976964,0.410067489401014,0.4075275027356489,0.4421015771721026,0.5116455347424853,0.5224249568606456,0.6180271760231062,0.5648387027494812,0.5053243705729342,0.46688062089151616,0.49491940269284473,0.42603631756626115,0.39125131815113107,0.42643502674581063,0.521301031641104,0.47215070611814325,0.4522521132237415,0.593331912517081,0.9250417983478076,1.3686359205730667,1.2860650695785818,0.7900522952694308,1.037242082928906,1.0647632720430866,0.8809453954739356,2.7067519113842073,1.6419834568624754,0.9336049631760572,1.3957145938146165,0.5851399230588736,1.0184622964246717,0.5238671473250844,0.9837596174088566,0.826417214223756,0.6532048016252151,1.012813734610207,0.9807213439411846,0.7967169337197212,0.5596978305402207,0.5997999413711665,0.7864968902879008,0.6311060628211304,0.7830309068817884,0.6681611580668727,0.9575796552241309,1.3180135720147614,0.8950858391017356,0.9225712592378966,0.6461323726524394,1.0331271373386641,0.5776101549300796,0.5805698886230266,0.5268799310650687,0.4982617126060352,0.60562499729386,0.6204304600713957,1.1355947093227792,0.6318277415769691,0.5317124637065547,0.5015781934753644,0.4716056926298375,0.6313423098972816,0.471688288775817,0.577157553726967,0.5517117098990622,0.6837292055276403,0.6128102681715001,0.5791045488599573,0.5339762017870385,0.6159144798023571,0.6720854216149096,0.589553125139858,0.5887570170899242,0.9345724153202091,0.6492609710033757,0.7115932310886098,0.5593637872246365,0.6191541525319566,0.5883675313163319,0.5733391738660543,0.8983106683773056,0.549540456131091,0.5546584243423336,0.7005341244455151,0.5227743828549115,0.36496286829311014,0.30039828502227706,0.3389109604674714,0.3613730899541015,0.34320524480557496,0.4256236008524507,0.3942690732787186,0.5473006199275643,0.5236242981282468,0.48591160614859313,0.396759048072796,0.39856962889349795,0.3306651690133604,0.30036525132117115,0.29449048469876415,0.42334408821750924,0.372888570387546,0.38887046162507033,0.39619384766795496,0.3738355101366868,0.49014907103926514,0.37552490186556375,0.5089559961944831,0.4204910053817098,0.41881197176360146,0.6375709564182994,0.4843440308806707,0.595553392230218,0.3986013419473391,0.6581092658031311,0.5613141431589052,0.44113543307702413,0.4436536202958957,0.3625480825847543,0.3853425641028023,0.3431814620071386,0.4203377390524455,0.3787247422390298,0.40017861764087126,0.531810871134012,0.5848669870875306,1.2012601203596223,1.6302909704079542,1.2534196161793478,0.7004047470851469,0.5483850215345496,0.559726477691847,0.49589026357598676,0.5281860928092195,0.38644237003623927,0.4071084422683338,0.38567433186004196,0.4028209265128461,0.49229214141288724,0.5485214643751284,0.49490517116854377,0.6333742491878388,0.6725217830380221,0.6784602024272863,0.5077586562660322,0.43160828653750727,0.47186424971040636,0.42790347281636093,0.4299625948559448,0.5025410230344165,0.5122584758261711,0.8021290350506739,0.5001972888390589,0.5456183327409699,0.4704886688638216,0.45748931379121993,0.44248648427234694,0.4381108521936935,0.4405235352243508,0.6349911276173843,0.7159559073522712,0.74508598439016,1.8906961867634609,0.6472333021512909,0.9540302949475366,0.7329296320376232,0.6135639461299688,0.5485011273475404,0.4348758238531171,0.44806669790769116,0.5280894924520669,0.4062055776440403,0.4416040634783802,0.4968362074065949,0.4797211462365128,0.5543513229233177,0.4467141569449603,0.47992617471711596,0.5338172081086359,0.5335523681212783,0.6034958069955728,0.582991132987279,0.6594009475200427,0.6049263240403246,0.6534056547536927,0.6896902226277547,0.7016239262498815,0.724910543485623,0.7843315263388244,0.7802024131390362,0.9013585970447465,0.8392964863234117,0.6807875683028954,0.7069889734775191,0.7289290673729024,2.185637571538748,1.0663963505912324,1.710323966198265,0.9242267850962037,0.7841889716441042,0.8008853922784254,0.8474482687498106,0.7205813107271253,0.5658387439797075,0.7253200334464982,0.6654286250598466,0.8077946370056467,0.6264174120832348,0.9069069938691993,0.6836767301861522,0.7676074239321685,0.8931440724171673,0.5747381991110384,0.5500389456316211,0.590786291296673,0.7169890671739253,0.8709279614199003,1.0305801821886307,1.0070139527645219,0.8147047902223545,0.7820608145855331,0.9522524865575124,0.8376521917842111,0.6990766301190201,0.8899999095590738,0.952089809513857,0.7385842213944182,0.8393565955682916,1.0379263976690598,0.9690630256617496,0.8299712821818487,0.8871579102340896,0.791566621404142,0.773622358302537,0.7155611220395843,0.717115238885925,0.7272890487311007,0.6244400962375112,0.6359448629192382,0.6196454620539418,0.6422494515154967,0.5466334644398033,0.5844194852577316,0.727550167178358,0.6883709983414722,0.6625019380830031,0.7048558242685127,0.8607506937481023,0.7618311779507917,0.7969338667081941,0.8580098850199439,1.0246164886924658,1.1301307533441807,0.8639691675246036,0.7208386915178194,0.6864267035439663,0.9604821970000652,0.8102911199572531,0.8507091766817395,0.8069748144385156,0.6635122494624781,0.5072865317298878,0.43932352946805053,0.4226802849641579,0.5724224919695688,0.5917493135735703,0.9227225325696168,1.5579472052083483,0.6165463606725652,0.8900752036541075,0.9554445224919386,0.7365704467145266,0.617420321264588,1.5307604720473091,1.3089944380384908,1.9259949249363066,2.6298471815994757,3.394858070284905],[0.764615885175416,0.5419850772828515,0.486021837048078,0.436995066650562,0.3739546506211172,0.37341806879575384,0.3020436653977687,0.3692200808801128,0.2782268043605338,0.27037128829294493,0.3256619364655261,0.4284755552908456,0.3070816847831272,0.32694853236261134,0.5026299340244896,0.4266398431364303,0.42000007989133376,0.47406256003053726,0.5222068608705333,0.4949472565436673,0.5368410270564798,0.4965189027008132,0.7068807504357335,0.7657007963586386,0.6184314167079488,0.5716566675352496,0.4346786898169153,0.40318509426688903,0.3992631330829516,0.43524307488778685,0.5048368690355866,0.4938268212339036,0.6443657959543202,0.5709921327866875,0.48581435037573595,0.4518591458739848,0.4717549954460232,0.4129814885078375,0.3757802328913867,0.3941446076729827,0.5117616776119555,0.49304788445274,0.4595386239495447,0.6340370542142653,0.9594013316555939,1.3747343681104538,1.3281348762249183,0.840209226267836,1.060483662403842,1.0946890835448588,0.8678535624088748,2.7550553388980608,1.6180949303820686,0.951564550384902,1.3318189951549126,0.5721209790291872,1.0544067891734583,0.5211360964307187,0.8953856593260803,0.8386799413550797,0.6657429049758148,0.9942217110294956,0.9930920083519664,0.8370402573029408,0.5813261891939983,0.5972155092506555,0.7983721424081631,0.6247097998471962,0.7949188656139927,0.6489767214432436,0.9309415665863294,1.2978898790871336,0.8665996227935491,0.9311137578309053,0.6310789583979858,1.063832836769371,0.5706504486146461,0.572313696511193,0.5088502103234981,0.4946360659612186,0.5885055647065393,0.6010091300971321,1.1542454934140014,0.6089105169798245,0.5253137010688405,0.48798679559037184,0.4559155763495638,0.6272288561908429,0.4530668607477416,0.5655322922494175,0.5485479353992225,0.7268592188977673,0.6272217604352164,0.5826998363952149,0.5237765341146209,0.6180703617281897,0.6564688071971742,0.5799431286183538,0.5782771611412475,0.9623311700635361,0.6287518856669543,0.6762800374156231,0.5206452480435005,0.5825438877626526,0.5557652071224303,0.5365383699527637,0.833074474700912,0.4970410311359834,0.5150503008915946,0.692423490915796,0.47339809752841844,0.3378919751376435,0.2958743116474458,0.34248274641664367,0.3508748005735685,0.3439414578744417,0.40688924043593094,0.4232900777051692,0.598571232399813,0.514856686744852,0.4953824926748349,0.39361486758210457,0.4089149544883945,0.3374212355825443,0.3094099403194652,0.32274605765316566,0.4123549062841832,0.3684769452579692,0.37211288994896635,0.3825057260808886,0.38152016079672807,0.4756629342746159,0.37027796976832067,0.4923501529138045,0.4024799382847681,0.396012505909537,0.6130369650988599,0.46253638350257925,0.5790939094466447,0.40885024646415224,0.6737657506075782,0.6437317898234837,0.48568450134961144,0.4899164474728183,0.36853649176401526,0.37962083624223797,0.3325342923404816,0.3945674903000971,0.3534761457349458,0.37821665145313194,0.49724529452413235,0.5997606686827882,1.22570559431284,1.7782125946014002,1.3758612204179193,0.7244247084019187,0.5172139279455993,0.5301883137000447,0.47024230712174186,0.48074800868669143,0.3648516432866233,0.38550466258063826,0.3673514137191291,0.39450661110135005,0.44915609792358,0.5473652622946622,0.4841353645820194,0.6239877499660825,0.6458816700157352,0.6596172654630001,0.4920431633378015,0.41164602966093006,0.4349407024403057,0.38073293225296084,0.3945289885279667,0.4724034885363605,0.48277666900205096,0.766759791498609,0.48347639892172845,0.5090877317349494,0.42889829255565554,0.4087615517216106,0.3990931027555729,0.40759303789036044,0.418091840890089,0.6221625260156024,0.7060002028775991,0.77193936358797,1.8460802955289772,0.6866534575063512,0.9624124980430433,0.7911133748102911,0.6353456085382518,0.5622651954645934,0.4353018948856136,0.4511659342603536,0.5339904005761376,0.4029851825860363,0.4385133415955811,0.4962871825456014,0.46112018866394333,0.5393663137299262,0.4457810725018708,0.46180346503281827,0.5096558710078375,0.5204766245485681,0.5998134780614809,0.5647618043872659,0.6345982195496463,0.590161898145438,0.6307867941809429,0.671710082934377,0.6942078764189165,0.6900729616389374,0.7612348969878594,0.7676946085458952,0.8811621997661903,0.8200841732711579,0.6556741027731613,0.6759741328891674,0.7060753562031259,2.1563466709286354,1.047953867034829,1.6812798780212588,0.9142165676071914,0.7342937009190695,0.752062171161727,0.8076603562720744,0.6749167934733515,0.5242601745815091,0.6918508799945654,0.6385690387553048,0.7674839745982763,0.593097878234221,0.8924121736840653,0.679259154738303,0.7603061214410811,0.9365493174808818,0.5642873495343489,0.5327873795290666,0.576478328013942,0.6912461540610652,0.8577163110601356,1.0167879489498552,0.997314009508008,0.7796502647499698,0.7441437167487693,0.9118999327308611,0.8123012918337976,0.6599638880024132,0.8497992693810735,0.9155156376851756,0.702780554946801,0.7935158032058076,0.9984503107395236,0.9413434833412002,0.8023565227666468,0.8519632788305787,0.7601889965462041,0.7334800063375055,0.6702157527941474,0.6733628397728659,0.6875743884623446,0.5921102917938466,0.5982679831774028,0.5809564934268777,0.6148391148297927,0.5194359406192062,0.5527876504084156,0.7081157892463118,0.6677911422436161,0.6516661551163407,0.6704744890235289,0.8468556472290689,0.7544859669051318,0.7851282691694678,0.8568037046144937,1.0307402931112888,1.1200763923644486,0.8438762979824715,0.7123010232916738,0.6560177939960475,0.9213033949100908,0.7849097144384074,0.8416558123604483,0.8105694501507532,0.647748324611099,0.5125678516130265,0.43788527459242294,0.42703170255787015,0.5618004856924189,0.5536777804075972,0.8818856777119308,1.6307161502904313,0.6042333939034562,0.8599201756587792,1.0188274111147788,0.7149377456349086,0.6004201915099692,1.5020188450231289,1.459319312783322,2.2715762604743635,3.0573025120636776,3.7696809214457994],[0.6652727518428786,0.4436684131096825,0.40585827449557804,0.3705475326412928,0.3464430206762965,0.3077910320565289,0.2530679303438941,0.3381980664530909,0.277231004801548,0.2681259362582423,0.31431760202910924,0.4330823445965262,0.30008113668847597,0.3216753649687012,0.45880801666307836,0.4071186619808897,0.4311371702767086,0.48966500899282145,0.5655410961340336,0.5281080642636551,0.5917014736167503,0.5491202544207666,0.7704961403128038,0.8174923432410267,0.6729439480788507,0.6340894420697082,0.4757037776717828,0.42009897386447786,0.40706926869780147,0.4327313040034367,0.5047804411212252,0.4797992140163815,0.6410700613663615,0.5623300097551297,0.47255045941483265,0.4596869756953961,0.4583704179473482,0.40512117281572446,0.39532775716074825,0.41471370171956573,0.5282197558947193,0.5388687332678935,0.5047177251269799,0.6940935770974255,1.0291327606853837,1.3788363659324456,1.3753740321855388,0.9190184656141847,1.0901385090000586,1.152210678472589,0.9018264060539025,2.719301668442412,1.554029657092588,0.9475605531372983,1.337209371609744,0.5851346847604605,1.0492996472820668,0.5390541754940551,0.8654376557782714,0.9028216037467184,0.7019390279562829,0.9633799810264453,0.9932527903827499,0.8854834927883087,0.6369781348953889,0.6416413778440916,0.8421660962407819,0.6501273556883576,0.8473144078985813,0.6561496127652598,0.9506339146014849,1.293454995691769,0.844500470835733,0.9599888193952293,0.6270289909787647,1.086415712742553,0.5911172974883838,0.5553168408279677,0.5054058545033948,0.4941017926746032,0.5670859562452388,0.5911366061757463,1.1451354098526207,0.5569075589564586,0.5458555161822194,0.4717449253728712,0.45141902170996584,0.6176176602546961,0.4595958593218057,0.5636368273504602,0.5556859142796668,0.7441201563181061,0.6269882846751257,0.5770782537193707,0.5166305477398152,0.6150522268741784,0.6317577913187328,0.5556010110243395,0.5409996387198119,0.9232266417314297,0.5764166200774853,0.6205732234246316,0.4734981351796096,0.5267846409975484,0.49419935108765084,0.47837754825953277,0.7338260761927882,0.43106116399533295,0.44298860838344944,0.6519235366556966,0.4115640026932548,0.30566572050179797,0.2606760670574749,0.32220340959351323,0.33787484084322006,0.34218850477477375,0.41921389679346005,0.45080977038018444,0.671304179444469,0.5518603373179642,0.5307336246396883,0.4120465761718292,0.4225746526135549,0.324404344446981,0.26844976372188867,0.2820084543205164,0.3575423366954164,0.314267309784635,0.31373128497633923,0.3317847607102963,0.3369206512481085,0.39993615046834274,0.31150824588057,0.4301381112631508,0.36051579199382383,0.35458636711360236,0.5671401977206857,0.4152881721931967,0.5112562473484091,0.38975738270265126,0.686010445938766,0.6986811972291986,0.4903420380960925,0.5007879702723621,0.37190861029054456,0.3799487216161349,0.325132700648176,0.37977712487716286,0.33528072263619446,0.35235327503340874,0.4669595613690953,0.6123465100974383,1.1729709128102999,1.7898617856050192,1.4595429488975928,0.6991946976064267,0.4811475069410042,0.4825231805268765,0.4375337693996981,0.43783925481671093,0.3592796208735254,0.37085088245967623,0.3585542216045901,0.41099146797283265,0.4077495322264639,0.5332414290105573,0.46564211635563596,0.6323451132301354,0.6099046948286192,0.6198378109462489,0.4605995735962735,0.3907595057462531,0.4100265613361822,0.361211543362281,0.3760073411471236,0.44096153968826024,0.45640933413588414,0.7269229897854483,0.4627855464514493,0.4812172705496622,0.4124766528812414,0.3778269533440265,0.36465778770853263,0.3728336892700977,0.40401091988284105,0.6359433159439194,0.7335697570358781,0.8017340379587014,1.8289556013264832,0.7466875181376567,0.9870995605069034,0.8260155989782546,0.642203923769703,0.547848563678482,0.40613976398820617,0.43772521989277985,0.5019230947410792,0.3830533830201707,0.41408268216428223,0.48210208452372766,0.3774671993670696,0.445518931823179,0.36862638264024594,0.38888895279718483,0.42193634561392623,0.4410612077455134,0.5386272190251915,0.4850564234268235,0.5529269918364312,0.5128326681708479,0.5513886932830965,0.5884874999447545,0.6297011076238694,0.6028922407750256,0.6886740009560066,0.6971450348811071,0.8426291750700655,0.7449710019014824,0.5757573453644131,0.5763954778105348,0.605255839284193,2.0557854364845647,0.9488169966056058,1.592507881764052,0.8841287654702926,0.6653005878820829,0.6847065205343633,0.7242290376013025,0.5981395671831046,0.4140498493948215,0.5968587013822628,0.5843573594416622,0.7215078118033926,0.5324034445482991,0.8751536303007301,0.6919977423926598,0.7409242017087394,0.9230247957620279,0.509680515949626,0.47672198491733486,0.5153012635714229,0.6117649083015619,0.8071710983332292,0.9236383634477767,0.9526265461172856,0.7108535421197592,0.652052384596289,0.8284751199074821,0.7469175547793243,0.5753461097708025,0.7859984774222988,0.8678035684740316,0.6387568313910138,0.7181062490547352,0.935151958491757,0.9075704305710549,0.7379411381600546,0.7778893283544677,0.6723294604171411,0.6423791979327418,0.5735226808034941,0.5799502214982633,0.5827297458495754,0.49871227056613265,0.5095573825518693,0.48623619775416105,0.5327113131105408,0.4329561098250758,0.4646122387352036,0.6699355134710637,0.6139388840992851,0.6043318749764888,0.6311612272260854,0.8533241891213758,0.7477488206713959,0.7524524107229688,0.8452816166612864,1.0357346801938332,1.074785552877354,0.7957642325946228,0.6526166995670082,0.5733192453791797,0.8663233655355981,0.7287955607453978,0.8199327430316499,0.8049231004581561,0.6065177922263264,0.48061218659578997,0.39398258778241496,0.394923501193915,0.4817919089810276,0.48139879997718454,0.7946899599707103,1.6847559962494743,0.5553165765982494,0.7598618349263315,1.007629811577081,0.6907329140036739,0.5289660903685461,1.328565794586138,1.447845430246322,2.49252723452297,3.2526151539778096,3.8387623181264368],[0.7569400364759526,0.5091496280670266,0.4913831185690709,0.4140212662610583,0.37877421042929876,0.36694313088217795,0.3195592933230069,0.37615486187296693,0.3044749808508511,0.29499652953923394,0.3573677711460655,0.47186601857215965,0.37333840098045046,0.3949150446034601,0.5820198160667008,0.5378145052611556,0.5278514878061439,0.6088336386850615,0.6968983980788118,0.6351142429958508,0.7050016709275326,0.675861930109355,0.8709632638826144,0.9444902433216817,0.7388798411106431,0.7282557528014615,0.5862057081609643,0.5219225527904329,0.5275908680031499,0.539431733430542,0.6166508409218998,0.5831403369440209,0.7748641037418076,0.6963058272295307,0.6071046713077972,0.5759875153106405,0.5876784242245837,0.5371222681550151,0.5119770706608873,0.5202847586654004,0.6119752409791631,0.6167378915815738,0.5999522021554343,0.7369946713704473,0.9803828383975893,1.3203957622141609,1.3038480057580093,0.9342799389907251,1.1497425750334584,1.1295563636709027,0.920623959484982,2.8801941477618085,1.6795461423647091,1.106720707279939,1.2660574993926004,0.7635704307354476,1.2380606349183814,0.7468173473980619,0.8294533867162843,0.9534144085169546,0.813762778857912,1.1038665607134284,1.1376251414194058,1.0615991859636151,0.7686418063069309,0.750941495045706,0.9364577976163836,0.7630707576606883,0.9468324213171984,0.7706915046931642,1.0277167215828429,1.4330961642414188,0.9489858723322251,1.065661385735897,0.7690255959504398,1.1724485524221575,0.7302537466203954,0.7136840728953836,0.6501073854355224,0.6382761909043743,0.6982819857179102,0.6965831255846484,1.2395705616896098,0.7492469467058418,0.6255541022679997,0.5813708058492463,0.5788725479193512,0.7419620210182708,0.5879525251727545,0.6868130384649921,0.6868800419747274,0.8456851807527485,0.7464742890186611,0.7023643647263256,0.6231852518245145,0.6934428239261524,0.7103623565044684,0.6596022167806367,0.6524313527985857,1.0605407524299564,0.6919746677816936,0.7205907231673326,0.6147320340541358,0.6433318245795179,0.6125591253591673,0.561747086249055,0.7885688672078917,0.5029927639420266,0.5119343692263341,0.7317640112900695,0.4567949169012285,0.3581063544182162,0.320428725784934,0.37868542205717387,0.40499516185468226,0.41659661936846853,0.4861690545678166,0.516019203506099,0.7600207024881012,0.637530979805441,0.6034333414851666,0.4766284874513176,0.47265812617045183,0.37510892452038697,0.30440077246136493,0.3359462259677316,0.40113629880971857,0.39435602951509385,0.37922766711116884,0.3931719094752916,0.3778669015266309,0.44330371517746736,0.36242878760005337,0.49735162195347693,0.4234600661187741,0.4192747407526265,0.5851162338214386,0.47181595383646363,0.5795733697409478,0.45491841047644843,0.7166759443533676,0.7360926255399355,0.5772044431857558,0.54594974339423,0.4639001043414733,0.47667663358260576,0.41644799987631326,0.4580062039224072,0.433769806597427,0.4092749338394551,0.5235336191197947,0.6643451261507197,1.2745823006887638,1.975582655654212,1.5293648810433222,0.8422136150795082,0.5858704919334746,0.5859319940909858,0.5538508794164123,0.5290249955149375,0.4503865168865926,0.46994898269478746,0.4353104084191084,0.4800112880749863,0.46207236614156943,0.5689817630282106,0.5118182361393302,0.6428490411893291,0.6228802214795265,0.6420286397976676,0.49443375092630726,0.4455058724980268,0.46108105161602064,0.45078634891221997,0.48960866266606906,0.5575945741861511,0.5761382161641122,0.8330443828098221,0.5932924618453149,0.6128006576861014,0.5146785074204893,0.46847952884884997,0.4493968977807452,0.45154279310611756,0.46533720825898295,0.7330442702091268,0.7724709164785919,0.8443443113244461,1.742752375065976,0.7463649994641445,1.0875711775150732,0.8514065019311895,0.6571073886832228,0.5446898783712235,0.4269161793978649,0.4616330102194652,0.5691416193697748,0.4089000157243173,0.4481657384913648,0.5016056496935966,0.45805153795692716,0.5383687693634434,0.444957855353165,0.4628310359340766,0.5192097420432165,0.5354918270439075,0.6146434905831756,0.5682436603580072,0.6341936444431425,0.5993668064848208,0.6291582376323568,0.6625854030197801,0.6872430119583549,0.6724738119910169,0.736899444836072,0.7459820609953038,0.8970667711128134,0.7733345657751289,0.6228292514364352,0.6578469499838753,0.6858914456765476,2.26468409849374,0.994034823895486,1.6156612698240407,0.9590267303009524,0.7514205622943289,0.7296318546760993,0.799762944028134,0.6275424834882878,0.5197298147732946,0.6998574418381114,0.6593443626355712,0.7347269340956656,0.5664230802716543,0.9280799615565625,0.6291114657733894,0.743197423483713,0.9382102964633677,0.5561996942156869,0.5458526539698891,0.6357323137108516,0.725410811733169,0.9214643544466447,1.0510681550799614,1.08044117323002,0.8236013871582913,0.7603539516303954,0.9518459870371381,0.8282333342712928,0.6524202495395559,0.8421545967933625,0.8911390756247424,0.6944096501678245,0.7851323245929778,0.9847789660459715,0.9336752096806995,0.8089309775178627,0.8523039539676397,0.7609021610617994,0.7342420255156293,0.6768495173881494,0.6983594121631713,0.6788059194524421,0.596178571649055,0.6201799567465293,0.5807529472531411,0.6165536842523703,0.5073863216652169,0.5396498548503064,0.6751881646702175,0.6444297709682395,0.6210741907943385,0.6508135485704324,0.8476456849784122,0.7603090701005709,0.7775976259566547,0.8480029378191368,1.055825291104372,1.0686408156544656,0.8119902138354619,0.6826680355450364,0.6388759076273096,0.8961310708213781,0.7485797478861899,0.8138149800075587,0.7988722608092221,0.6292356145791812,0.51189936447709,0.4509855870711102,0.4490345822350161,0.5651363330872935,0.5101616528269388,0.8786126168717752,1.6679316056998519,0.7201243572036198,0.891234557095825,1.1931511224357054,0.756405539725969,0.6070669868607956,1.524751442220351,1.8043255197738595,2.8271399594327846,3.950550423183412,4.633813222614859],[0.6574209312456332,0.45858298581040885,0.417812881200728,0.38523916948932857,0.43300710983629476,0.3399081453552978,0.29865373856103816,0.3357155274269954,0.29475604756071677,0.26738584692507233,0.2897631443630468,0.41512104310153525,0.3237132590888083,0.35565616817750995,0.45903682034499066,0.42837160716341727,0.48108635764882346,0.5369567825891811,0.6472560960706124,0.595106657225483,0.6868381321811934,0.6554131272055838,0.8756574852055685,0.9423381455000401,0.7523838684100156,0.7338591056177333,0.5642896135273192,0.4836211444204161,0.471908165902312,0.4626666441290005,0.5337954057800004,0.48395459229176285,0.6930922425058846,0.6077668279581355,0.5002599630052891,0.49391595412296635,0.4802196882130624,0.46100424157956144,0.4576840082572536,0.4611086426329026,0.5869108578062836,0.6232337533550604,0.6044297834008745,0.7659642550539032,1.084610972116341,1.3774413229052962,1.416640673323907,0.9974212233772332,1.151628918939044,1.1946894705299302,0.9511728678807136,2.711883101312696,1.51735754645931,0.9954723883656719,1.3255810400755035,0.6871674231800295,1.1064208413747505,0.6136511966669067,0.824284465030012,0.9965693136803917,0.7921828067111584,1.000940707587286,1.0537732589135174,1.012422629810474,0.7361535296279638,0.7170166066656712,0.9114994014697826,0.6970845973750193,0.9354588508212414,0.7031165966663717,0.9661428127898806,1.3154964443388586,0.8456141439595022,1.0321585503675481,0.6719468287688396,1.1480796204263473,0.6504064652399472,0.6187702808278843,0.5546628125247904,0.5539034979266705,0.5920384489318194,0.6355279463955283,1.1588233375492307,0.5912674011843265,0.5699479546039417,0.49032898258776264,0.5064761203729511,0.6444814339601287,0.5165979802118272,0.5944744843887633,0.6019680255845086,0.818292998790213,0.6842478967526402,0.6293803768983786,0.5401050885673327,0.6496812327990511,0.6099222208584325,0.5644092601940895,0.5385221931462343,0.9579878463753937,0.5695584454788292,0.6409406889980565,0.5006108705635652,0.5242572920878787,0.4848174111212426,0.47702417260068203,0.6805844952619572,0.4201561133972772,0.4132075745563119,0.6487089573509681,0.3825877220653425,0.3170959017787672,0.2958881490997288,0.33173122222646895,0.37329079006563715,0.4042098904619876,0.4670173433772182,0.5346385799761304,0.8027787878706848,0.6235372422735999,0.5990295786623867,0.4628937319116267,0.4941306660434107,0.3733069754613924,0.30296838751277555,0.3263085643877192,0.3790689733025643,0.3409172654353017,0.33453328015635136,0.3599957333076479,0.3814273202953034,0.4131465724702644,0.3554767653425047,0.4394591722320012,0.4091915881776876,0.39770370780169373,0.5724877877518074,0.4431923875156237,0.5210934189224965,0.44977558388250105,0.7197756493198203,0.7924438585067299,0.5873454179856221,0.5928025113645375,0.4518204021752945,0.4399156675651265,0.3827738552242845,0.4127785559707542,0.36971135539924926,0.367339058417008,0.465106427600445,0.644924757251239,1.1776770638075467,1.8759585420975322,1.5454568792821095,0.7366157484252417,0.49938942242799084,0.49017743435810124,0.46126532561989964,0.43363474045430134,0.39036006195450734,0.4216993702068871,0.40200918075069514,0.4533607694387282,0.44312989078447723,0.5600579568997627,0.5216958047538308,0.6864503144503908,0.6408854584752326,0.6444178431477597,0.5090248271407105,0.4328784800750688,0.4224792485022204,0.3976188863454674,0.4112454033676689,0.45364274785026465,0.4798174080021167,0.7186608575004104,0.5051972572714347,0.5163131575414716,0.4555829933380606,0.391576576623547,0.3835403677658471,0.42024287697500856,0.4606722315241089,0.7001014223200257,0.7636370242948247,0.8404419739469972,1.7490589453383754,0.8192518719346947,1.0185318203627542,0.9254897272551758,0.710437520538956,0.6149101083118003,0.4777809058005717,0.47998803446061156,0.5441164405155497,0.4330024526481366,0.4584137468638124,0.5247162864547141,0.40594428927806037,0.4677061766201927,0.40736084155630287,0.40902569075406536,0.4319812448009966,0.4534478337030403,0.5522480009386366,0.48127685868869224,0.544112381540558,0.509456983113412,0.5422967486673124,0.5823866998312363,0.6259546652817929,0.603713407599867,0.687971622601147,0.7105040697740836,0.8324058302646823,0.7421788326868799,0.5672636072929998,0.5716373997926656,0.6150375901211328,2.081790608441004,0.9472173974804026,1.543992062824568,0.9010658436344822,0.6512534248245854,0.6644904238804002,0.7141545612337387,0.5952087405171612,0.4292364713677727,0.5827428171155079,0.6061004249693858,0.7218246023752367,0.5477258051084496,0.9057564651071065,0.7308342170921264,0.7613081835739356,0.9634142064003824,0.5450854747264399,0.49975468659592653,0.5301963522123868,0.6242174064270922,0.8339872491946139,0.9333639881512,0.9893078121166066,0.7242430386717134,0.6530687765742997,0.8294340466794966,0.7499585978377973,0.5684627034393709,0.7662271979305255,0.8454038882743407,0.6274023436488954,0.7022285715359455,0.9191868833927904,0.9016257954176851,0.7321088787283844,0.7656572366846143,0.6628311974018193,0.6263789243063601,0.5607270652370885,0.5736570701706809,0.5678642494823828,0.49127241850562003,0.5119925641450835,0.4847222674154444,0.5402958582849436,0.44164509257070955,0.4710353739781284,0.6838649696635624,0.6329139728169836,0.6296897199901077,0.6643125275355648,0.8940463261844575,0.7879703629178803,0.7720700379308205,0.8747099655114706,1.0553116333943615,1.0565395525448882,0.7927601943124998,0.6526166677066214,0.5661259954068845,0.8374369328691984,0.7174717797050152,0.8204202635696359,0.8133153972567275,0.6204502581744425,0.5112369292382573,0.4406614107710169,0.45530056160478855,0.5184060531763524,0.4503073854145729,0.7624906365826222,1.7066065590992578,0.5574356902967011,0.7391422529157959,1.0520298842368851,0.6698126299613278,0.5106358791524257,1.3218376153820994,1.571333027520833,2.729172549966663,3.6253049082395408,4.174924886146399],[0.6620220886430058,0.4592203089149628,0.43126581065006137,0.38925017808380985,0.43250746690852887,0.3371144159176565,0.31192479005100066,0.3582134919554016,0.3232979246844946,0.3267627226487649,0.3989511888936202,0.5393545014549613,0.44804168854291015,0.4455090392752113,0.6091619609628907,0.6021499881909117,0.5924771161627691,0.6837235336964307,0.8027307633773241,0.7418012874587516,0.843774303399176,0.8178391444334471,1.0180897279623722,1.077532734748538,0.8770563387153455,0.8663473548873745,0.6906568380648791,0.5981033868441812,0.6127957882482987,0.6064493181675586,0.7081419268424881,0.6550289018993101,0.8620729429791067,0.8084141699072628,0.7008436707780659,0.6726118444711295,0.6616514519727407,0.610733735511281,0.6069713641464655,0.6178017089905016,0.6881293913615142,0.7453075311950285,0.7466673208280123,0.8760238558588014,1.1107010916369042,1.376085618250711,1.4110331434104997,1.0738709792929175,1.214990888255243,1.2430251754882888,1.024603153476338,2.8418364020966806,1.6302838555003902,1.1363398515417915,1.2782206784677392,0.90247345812553,1.2910954945205475,0.8510639910576867,0.8681066995761731,1.1276969861429385,0.9394777289302118,1.174184138898126,1.2409187013933654,1.2506204378050585,0.9284137124782548,0.9017117623040932,1.074037840158096,0.86059363992192,1.0787617006102017,0.8528884488621412,1.0633085549416896,1.412909853193186,0.9687139630869781,1.1597781456966039,0.8590960116404593,1.3213981787895797,0.8565090222258727,0.8289844099591773,0.7570908411950527,0.7459560924955813,0.7616939246599542,0.761375378342852,1.255244588325217,0.7647307693604396,0.705626968035253,0.6460138265903892,0.6576378218389808,0.8000323796570593,0.704226523234367,0.8123695903465913,0.8131378106344435,1.0087614730669927,0.8767063199114213,0.8355236484055397,0.7297922531500822,0.821487980094882,0.758321825177408,0.729552067949107,0.6821453782960996,1.040469587975627,0.7055816831084688,0.7163792797617986,0.6338933294820146,0.6255073789078431,0.5688234012211193,0.5182116070032086,0.6994672080908491,0.47174661984834704,0.4526105348720384,0.7109975917582841,0.40120672320476736,0.36720173114926646,0.3449639071024059,0.3952642236290543,0.4420230942392912,0.4708046251471651,0.5505199733092772,0.5962432852612133,0.893229520527833,0.7250344951427445,0.666488329757469,0.5341217253406177,0.5360228883375373,0.42287338313273426,0.33469044743930215,0.35529241879148477,0.3809930712429368,0.36094429735635297,0.3647130014948577,0.4106278751203713,0.3870361083782417,0.4174700846447502,0.4014558968175524,0.5051501250728051,0.4431916718879057,0.4308561972410001,0.5780281948119871,0.4619840790845207,0.555557930635578,0.5042755332198208,0.749820242484219,0.8684915542203556,0.6724930320575495,0.6439649052436864,0.5490781734546273,0.5442220500397255,0.47531990159393733,0.493050523427252,0.4637982008032268,0.43134674121431354,0.5179543599412503,0.6817898520983343,1.2168123213050517,1.9356521637387998,1.5805356533721473,0.8445021655779708,0.6059530543293882,0.587241344784228,0.5727506851285217,0.5245159031663367,0.49254662116492476,0.5152254958779571,0.494493276360795,0.5628139750015746,0.5156011954355647,0.5880425375328151,0.5489026851734266,0.7028297358449188,0.6383093684443792,0.6452186466620509,0.5211233920682244,0.4738820279218218,0.4900370081679777,0.485145296740813,0.5212401785488543,0.5676028965065248,0.60327975056352,0.8083646020515276,0.6393165449777198,0.630048410029127,0.5407059612502303,0.47670431822666093,0.4677557181294162,0.47673165173090015,0.5163327459217203,0.7523209260720717,0.8226569570567446,0.9144126707487379,1.7058274826955901,0.8666830901660987,1.07812602752271,0.9733206502268755,0.7400722330510252,0.6300858356531498,0.5004830501839058,0.4947344050449762,0.5598065478447951,0.42214162630759855,0.45040272353781885,0.49831212308890027,0.4095961708896054,0.47689874132753424,0.4010992848843858,0.40598811501493154,0.4436655778810862,0.4674629799918774,0.554709105244685,0.4943118568562172,0.5682757826715783,0.5280812186489122,0.5584715332337906,0.6036274821107229,0.6460145868555321,0.6244042616364801,0.7086227036678576,0.7147751640915623,0.8414455328240859,0.7426400889811153,0.5765732375718292,0.5910853562421136,0.6232291159703698,2.1019341233360045,0.953431759765429,1.576232745190412,0.9229295036495104,0.6743620273877806,0.67371168671458,0.7297582448914262,0.5838119883497447,0.4392692639877858,0.6147933712667504,0.6224771698769199,0.7052611002812024,0.5432167213204623,0.9340205670843406,0.7032917555411932,0.7326558182847825,0.9673425842961947,0.5272780875337314,0.5093708406989864,0.5717577554599467,0.6690113581374451,0.8963977905466659,0.9771269005942491,1.0419202636437666,0.7755627755693038,0.6811744127569404,0.8881804338860901,0.7801990677036919,0.5845257597521721,0.7850958345122232,0.8583569218651712,0.6446410654830281,0.7297779272923484,0.9518657984802443,0.9202838376782236,0.7604121907642285,0.794774321110557,0.692848906132251,0.658583460182044,0.5906000220956991,0.6110557165364462,0.5947709696129057,0.5117570953024896,0.5269062689042535,0.4973054559569219,0.5489594563990974,0.44270370014859717,0.4688988952099355,0.6748522219811661,0.6271062867744402,0.6129171055396959,0.6545983572773837,0.8959042051268543,0.7936400426037115,0.7749104099095712,0.8870590870975181,1.0682768091942108,1.0639360437687415,0.7936341876984779,0.6504565176800996,0.5733149931557491,0.8392885212600686,0.7093482420675616,0.8075597088692321,0.814525462599506,0.6121143187619472,0.5019028690788906,0.4354833617741166,0.44573139405899037,0.502652564853103,0.475194643095758,0.8167717858609739,1.733585581173112,0.6125251664373937,0.7918395967540574,1.1369780943217975,0.7053479134390338,0.5336262083259748,1.37607453960487,1.6914803367669193,2.842854851193977,3.8496082218544867,4.4289986056856065],[0.7128483921379061,0.5008389090553699,0.47322243403092795,0.42020511353071277,0.4144978316423546,0.37748183918448114,0.322638731214247,0.3750690263777932,0.32736442880651406,0.3118799967510117,0.3733361084060242,0.48696674443717997,0.40196151508254885,0.4079048312940711,0.553516858670177,0.5445170880714403,0.5456988885023801,0.6358908703788934,0.7705144618410646,0.6886791020929137,0.8024614467813777,0.7681647093165901,1.0059573535638209,1.087049528415156,0.8361597076790719,0.8290504315126432,0.6423282763005805,0.5497795416862374,0.558653787115233,0.5526221788092589,0.6451840694067744,0.5941153545975515,0.8378242883581963,0.7441844422073012,0.6362655957583128,0.6069698029722105,0.5982882864555913,0.5522116153409277,0.5500910564446383,0.55098394628182,0.6533815710830279,0.6983334469939614,0.6900911946280865,0.828328732475638,1.0723389618719554,1.3583064459991514,1.380992690628384,1.0286416352263343,1.178574582623238,1.204515429923,0.9674467966116198,2.8510778184657783,1.6269298582427278,1.1048693048751206,1.2362514092011183,0.8387854314292674,1.2649824941808396,0.8162348149877503,0.8132353931174292,1.046755266252482,0.8848648275169704,1.1291266662375938,1.1979422192923928,1.2021925096941701,0.8682204542946198,0.8182096156862705,1.0144924559394306,0.8051460953250558,1.0320630172520506,0.7958996579003813,1.0355225093515368,1.426734167636362,0.9442745913516394,1.1504933670013564,0.8010905757090417,1.290775331362643,0.7851283771176542,0.7681458842914072,0.6926131746911868,0.6817632361023528,0.7062755666919729,0.7183655724279041,1.2095728013981137,0.7403512351027692,0.634256543659842,0.5869928334149426,0.6002319627812409,0.7550531350099885,0.6329167741083189,0.7331644168570622,0.727998068269482,0.9294675097510274,0.7974308765421638,0.767466071055193,0.6557606781075968,0.7339367622154205,0.6999217972672717,0.6785450835127907,0.6599941950658893,1.0720731552282436,0.6865442024070592,0.6967542069535007,0.6094341988774513,0.627335013917666,0.5737742824514342,0.5244144430537651,0.7796193917203621,0.48507251323869627,0.4736497537793704,0.7342529397184118,0.4357991570366512,0.35048438330458015,0.3281694459973706,0.3833762374504938,0.4166822300832123,0.44499657424996264,0.5172612209798242,0.5716870948306502,0.8647684376403661,0.6849273020088821,0.6461327057406046,0.5076296581630417,0.5207837526654455,0.41838071395001375,0.3356451803455411,0.3537124148807996,0.41033299523300104,0.37880797077407574,0.3791924418472789,0.3929111196674227,0.3871787592917631,0.4351153810310651,0.3745631103058725,0.4843427378993192,0.41660217427884233,0.4051451049638354,0.591563450177905,0.4503921056226173,0.5422274097646395,0.46839348662634933,0.7292416621506402,0.8353156864956726,0.6424637147478771,0.6095874934162665,0.49827810728159744,0.494698847109827,0.43245252060286826,0.4564520862129206,0.4221552610499984,0.4109460217249959,0.5129555661437025,0.6619205946057366,1.264961970983723,1.9554149334592734,1.4837405319071013,0.8317239484718976,0.5881725802243415,0.581106793481512,0.5475928507984525,0.5215144874167501,0.4436876022979355,0.46761303108590363,0.45665504236574705,0.5033930757883328,0.47696425444075835,0.5739690021637923,0.5341533499060225,0.6856893684590991,0.6245124577207014,0.6359175007721202,0.5052223673258829,0.4420884265106821,0.457345122972033,0.4421717573525435,0.4824257119330378,0.54487149402962,0.5731584496133981,0.8181503731826606,0.60133176907953,0.6257717615266715,0.5025221521173836,0.44913358549931415,0.4396559897027274,0.4420515748511443,0.4780977881433903,0.7397010546015448,0.8004431383857967,0.8625990397327123,1.714728224399524,0.8133933406233589,1.080593514260725,0.9156944213530693,0.7044732664472294,0.590842287942411,0.461598858845486,0.47685035455497027,0.5414984752445482,0.4230864833657382,0.4581937009099965,0.5267486681100808,0.454283640278666,0.5419628759120975,0.44387200960494416,0.4553653911618773,0.5055960161131952,0.5249780732710656,0.6003943365137014,0.555241433884755,0.6374741189043378,0.5873178055896684,0.6198598320478845,0.6660476868763406,0.688746908430698,0.6768911338190651,0.7527861960684058,0.7560303561032803,0.9093721099132557,0.7985359290161043,0.6292352840968964,0.6616298400462718,0.6876924526829379,2.1427457172466378,1.0150529627849043,1.642958289976208,0.9419247436219712,0.7375517477843112,0.7276036445360194,0.7919384756378823,0.6274819059270315,0.49148146349980754,0.6831853411912033,0.6650505306497784,0.7594060702183834,0.5851377334888477,0.9229547003311607,0.6829466803483647,0.7375733062747823,0.9284355338001421,0.5473820320446434,0.5355082888929471,0.6090586444322311,0.7274984643121797,0.9235466388611698,1.0529167663475962,1.081320133610429,0.827593840470661,0.7600509306703984,0.9471157919262411,0.8393096704921188,0.6558300573259906,0.8662117723883588,0.9231974421819555,0.7140044778475595,0.8185275751944157,1.0318522411381874,0.9630179443039417,0.8246598130862757,0.8751543625381246,0.7753813566617733,0.7476079638856705,0.6816610901187632,0.6916993614380351,0.6878931036889797,0.5836696027594637,0.5960674679077804,0.5657317909534135,0.6017672520871422,0.4915750457932013,0.5161429392829279,0.7141983516985242,0.6522013960555079,0.6293711578391809,0.6628307127467132,0.8883656925600593,0.7923241270949198,0.7932190168804805,0.8832231646795645,1.0543124494653788,1.1183889345454125,0.8393649459154653,0.6885494297813315,0.6202112778307692,0.8816759287541722,0.7666309557366509,0.8660651280347789,0.8378816422570996,0.6479569625787654,0.5240172406296553,0.46142114834405107,0.4728768584380185,0.5515563569501352,0.5144897290484033,0.8777497980748729,1.6839673185435104,0.668866974691255,0.8703933629037617,1.1512111170743569,0.7517266568083262,0.5901744219508225,1.4801807493876977,1.646966452151567,2.518656621353068,3.5479484058837327,4.248339757091229],[0.6741904206270707,0.4806038541095453,0.4341569960269548,0.40571955304034385,0.39763315758309487,0.3586762416792425,0.28293293568352135,0.333401928844148,0.2762061959304809,0.27003254388641473,0.3170445357006613,0.43170752291505793,0.3345803949477193,0.359673038627465,0.49846688369347114,0.46294399013594406,0.4885292436557918,0.569212977935658,0.6930870517907894,0.6271038796406606,0.7220187908902334,0.6856687716544263,0.9137601143635378,0.9753949799311247,0.7742935483961499,0.758308071445188,0.577646598096977,0.502401214314458,0.48871991589475317,0.47525545667646313,0.5744219189020195,0.5263478998033233,0.7468040195058083,0.6631722250998254,0.5506504351155093,0.5287304278283518,0.5153652436959532,0.48090598522305306,0.4707427644312893,0.4812352943864567,0.5895791217148425,0.629739404909763,0.6146401860297628,0.7741039086116293,1.0733595969143523,1.3770639528189748,1.4054453181477335,0.9974858313255297,1.1519912812087185,1.1962850531108793,0.9489229790723965,2.7823280813839086,1.5850689035486758,1.0360177559646868,1.2732282637999897,0.7255135744827752,1.1722337658647795,0.6801157577729711,0.809916794969932,0.9971653074132266,0.8180688929458577,1.0599944972475217,1.1232662112725191,1.0953658562594786,0.7842032582810046,0.7466445779639571,0.956814377249482,0.7400873082229037,0.9754859780652297,0.739089126229107,1.0004600319412895,1.3845206596734632,0.8969849494180144,1.0819898858554367,0.7297623670386028,1.2115071832522144,0.7066153681398138,0.6785485550087405,0.6078370550853451,0.600721817758359,0.6272474675635445,0.6494198504643459,1.1787796831484598,0.6428863044918386,0.5720357012881263,0.521351990002739,0.524644984154217,0.6714478312355547,0.5527157393498908,0.6450798195426837,0.6556982947695381,0.8597788811695242,0.729919193104654,0.6872601430163688,0.587153514113785,0.6801726308352107,0.6585039024822152,0.6117397669328147,0.592372463668216,1.0075385348257468,0.6218888911065964,0.6534351994214558,0.5297134805870931,0.5574900873975861,0.5151056427403656,0.48159019222401933,0.7493919662734714,0.4230492443759387,0.43478719238325564,0.6755201888970739,0.40338339648565985,0.318577043598864,0.27886081577904825,0.34682556428840616,0.3754123073500934,0.41281972267161243,0.486335115770109,0.5350900689715928,0.8275451057859855,0.63983836692844,0.6159235534483493,0.48301186791806594,0.49281650500992935,0.3792074093919697,0.3072145201419191,0.31213493385759433,0.38843204219621486,0.33102760441847306,0.3343643299007295,0.36118280719798407,0.37612202134526107,0.4253576705979371,0.3459584025012774,0.45151278223597774,0.38875764080782876,0.38227948939541967,0.577231222646586,0.4309729768983746,0.5075755223832715,0.4307183831528,0.7106113764220517,0.7890490236530036,0.5981036232171356,0.5857129665336002,0.4496421582644577,0.441513037189414,0.38327414683036126,0.40911073603999404,0.3696591306045442,0.36194670201692863,0.45659336649809945,0.6152869503050334,1.228731843730196,1.8966030362912385,1.4767483594893525,0.7722741564930273,0.5156500762312894,0.507906765160119,0.476789448183964,0.45452688051508716,0.3948942749772385,0.41305058546718143,0.40409940473300576,0.44437525506539866,0.43268923484220445,0.545403829788691,0.5038658601834813,0.675114019839589,0.6347244746450835,0.6393783414481626,0.4927725314175082,0.4163154218182559,0.41037317425110753,0.38766350326409754,0.40652372896955125,0.47096699714630746,0.49622437982546413,0.7537992124692519,0.5199434954881695,0.5281155650722679,0.4474175836804752,0.3924886170232901,0.38274916678965687,0.40682083231050326,0.4489578842501825,0.6903652879232364,0.7581582202845036,0.8202030928758264,1.745643868581873,0.7754095079069321,1.0198597135846759,0.8834635462019722,0.6841953451435373,0.5869324716768035,0.45197371258918395,0.47392670510838353,0.5203686473302135,0.42089475788484193,0.4527450007127409,0.5113066626450861,0.40895572575930655,0.4802835711053047,0.39791541228657495,0.4192279548618035,0.4498580937115777,0.4655727307824078,0.5624932605338382,0.5124679610229558,0.5928470045760171,0.5437960229678308,0.5863193562801039,0.6350826679812012,0.6632526601789344,0.6477065030884724,0.7399046788040332,0.7433748902249527,0.8738526989580929,0.7947160592017772,0.619702914574487,0.6343211144128785,0.6689140762637634,2.0623692947592622,0.9986041360869686,1.622947836205949,0.9113753507736816,0.6986934096649464,0.7026738456733252,0.7593178492453132,0.621513583256121,0.45261352560024865,0.6281540206571138,0.6214858083328897,0.7538618024551724,0.5684415279739067,0.8899928438603911,0.7232957201645389,0.7659514106759654,0.9284191089223142,0.5444055510679574,0.5055847060383253,0.5472738734757111,0.6633395783907071,0.8545755546064948,0.979450775683305,1.0160761503823839,0.7609709806576958,0.7023968909207203,0.8822266831207564,0.7853776429189412,0.6147394379535197,0.8336709932965264,0.9014999972465263,0.6750494196935329,0.7775833157428138,1.0021427905042208,0.9442466453952724,0.7896472787991685,0.8474826967047456,0.7350455711804663,0.7008392528839795,0.6264611697301171,0.6289532120698563,0.6446236500608624,0.541370033120883,0.5472136753393936,0.5346871814137698,0.5747275068941403,0.4634448784178486,0.4906320512121955,0.7158253294472033,0.6513616559070926,0.6333189624151898,0.6639599519027395,0.9034865936731578,0.7980453685311186,0.8005828331995373,0.8974559050377453,1.0517874285291147,1.1293954597167961,0.8382932006016348,0.6849296221102055,0.6019868730913263,0.8734143551348023,0.762211051043601,0.8712209271487856,0.8378168045979244,0.6448357247390826,0.5128446577407089,0.43824416882983064,0.45098374137448205,0.5231682316347371,0.5004901109462807,0.8463773302880749,1.6721817158095715,0.5866160152872387,0.8146407945984859,1.053405640281635,0.7101837130125775,0.5692004688268028,1.4250278505740122,1.4807159193759902,2.2998573958621615,3.181082449559698,3.8979828291042438],[0.701708269834445,0.48476438021217677,0.4721200206459524,0.4174911039296285,0.38161315717547734,0.374021433298426,0.30008784787050613,0.37859111072953033,0.29945746255937716,0.3024823260599027,0.3530642751323074,0.4569309963287523,0.3501179768978906,0.36285671179810064,0.5333437987232573,0.47743205596036237,0.46879102408963,0.5500908413711924,0.6368441789675566,0.5853639963984151,0.6558953228862634,0.6122287818041007,0.8342108751484723,0.9004363437756974,0.7165905489347907,0.6918969970958728,0.5243810358482345,0.4617777192211439,0.46749279195584775,0.48765116176309614,0.5725797860561563,0.5406022937090645,0.7278644816021352,0.6545346916930251,0.5532177955063663,0.5209337493984226,0.525799555182515,0.4657872804650985,0.45044992522391175,0.46600049335853505,0.5679277785254873,0.5714722777948401,0.5564772574214862,0.7033534960463468,1.0069131776849496,1.356653497497759,1.3504428844285694,0.9180344522363656,1.1164722468811,1.1532742931650801,0.896697668194502,2.786759528020911,1.6094103311598256,1.005584861024465,1.2854535870623494,0.6652247962010578,1.1350537469566113,0.6237005077808864,0.8406118762544144,0.9223194756539295,0.7518765341115912,1.055252713442388,1.0980561257588244,1.0180441386207595,0.7119535346433286,0.7083961874563294,0.8993098519677725,0.7138028556183876,0.9204883987513149,0.7288294265262525,0.9908318337949404,1.3813936743130009,0.9124608878520306,1.0455026419230593,0.7206012333820874,1.1604543365339322,0.6776282703398585,0.6650174209493342,0.5912145502036906,0.5718359686692752,0.6424970762085379,0.6519152481440643,1.1849255939413292,0.6591880271625274,0.5783828642172453,0.5304844499975664,0.5126518563617907,0.6794481544923329,0.5327065618596722,0.641031693813383,0.641414237380022,0.8146913542968997,0.7101589222750995,0.6684637577201267,0.587798508684827,0.674151459734935,0.6868609553910789,0.6306165924059932,0.626210752237675,1.0424237342191291,0.665973702772345,0.6895152025682305,0.5631751255245482,0.6079242721800643,0.5740930312485802,0.5399852795955832,0.8301404831627363,0.5074147040857171,0.5077921572185955,0.7165666862370808,0.47522415511609295,0.36435961769816516,0.3099981860705796,0.36398571707325017,0.3874104082825779,0.37685609134318315,0.4501590481503055,0.4881483419194498,0.7365474098051162,0.5840414011768911,0.5636435838320408,0.4364081042865174,0.4563021050798054,0.3483017749682961,0.2958247130683387,0.3120608957291463,0.40668848401513713,0.35970844849243583,0.36902044751443763,0.37325431788791263,0.3649866504783744,0.43930081529971216,0.34450948335289716,0.4850016577029044,0.3920807729554314,0.3880535729426575,0.6070285144477774,0.4457158387965117,0.5289932827263983,0.42363226078205735,0.7089910802822014,0.7358792974926355,0.5340754578024176,0.531139757707201,0.405162980462437,0.4144978018613079,0.36469381604792656,0.42171394076187185,0.3924312559558383,0.39427159135931866,0.49476417577983456,0.626302167703141,1.2663452035157696,1.8810851375935163,1.4311613728154473,0.7835294924533912,0.5506963932883616,0.5526670918084625,0.5131224457860503,0.5003873455729243,0.40899832573473655,0.41038354913874886,0.39468765234795844,0.43374084820198,0.44524234842085664,0.5518619384389857,0.491586048536881,0.6507772405590344,0.628294338297135,0.6396303839381099,0.48375606727734294,0.4245571028369334,0.4491335251720871,0.41189879190106843,0.43515037323277483,0.5075251676174873,0.5209586551962183,0.7879516474518212,0.5239973352283204,0.554375426759028,0.4565587090626941,0.4329947306418088,0.42312373448931356,0.42229541942522636,0.44923298059173766,0.6858858012348269,0.7607875507909806,0.8104946322581377,1.81421936633274,0.7394666761704953,1.0212739431321198,0.824766544460073,0.6438234495980215,0.5495691603263636,0.4168200593887442,0.45652314365206703,0.519305148267248,0.4141485403352065,0.46348988326381346,0.4990152034387632,0.4451994965235658,0.5122611088227741,0.42410018282557055,0.4628986560472112,0.5078503409539162,0.5151832857353225,0.5978676854307051,0.5648672986102123,0.6432257154139404,0.5916031323963716,0.6338947200178794,0.6781650772240138,0.6976426976460162,0.6922565738146829,0.7688577292689884,0.7703351004270261,0.9085663255165618,0.8260200805053218,0.6559545359865052,0.6887387957841078,0.7067847151662398,2.1056240022614237,1.0302889236073158,1.6838644467944623,0.9186104519175711,0.7505499928591768,0.7601457696290169,0.8189313302343085,0.6711646736092556,0.508267824362257,0.6948929984587471,0.6547032083390513,0.7806784586348098,0.5999888814141783,0.9003266999522561,0.6948290791363797,0.7640877980835817,0.9047949096318857,0.5553059226152308,0.5279876737710013,0.5906810682640504,0.7209238032009949,0.8869897188944768,1.0099765515441548,1.0318141187424246,0.809338255468435,0.754096862431514,0.9230962177454198,0.814063625034217,0.666826058400002,0.882525959701604,0.9407499038112436,0.7223879424207598,0.8295806253401896,1.0401949084534279,0.9701319800397368,0.8317708018983698,0.8904113314480014,0.7837134571663836,0.7566338735766763,0.6857893443216548,0.686824360964148,0.7007252708301343,0.6001244951527848,0.6013364399688039,0.592891135263617,0.6259548296511401,0.5148059698785387,0.5431589319281965,0.7410294165921149,0.676719237279463,0.6465832756624688,0.6899551561989552,0.899153571599863,0.7958694197150189,0.8113157174342029,0.8940993555170079,1.0420118186326104,1.1660810161228201,0.8652882998093748,0.714136663373399,0.6520487664284969,0.9185006307019342,0.7922849645848371,0.8776805932015053,0.8421584213194866,0.666955179305259,0.5244512601689041,0.44396553141617096,0.4351307523946082,0.5464761243551085,0.5392441435008727,0.8918181760447063,1.6349541849882776,0.6453585396746558,0.8666958606594134,1.0473352461309722,0.7584749574892078,0.610841855291787,1.468965690656673,1.4385912038602944,2.1383918230102643,3.0170158514825136,3.8060051624908384],[0.658238549321759,0.4903443316292998,0.44387171237963285,0.42741029048857254,0.4463339333420486,0.3667914507791533,0.3052508324769568,0.3628327768372234,0.30576608456687815,0.27842378502791004,0.3075476719093124,0.42243557947684385,0.31240963368704083,0.3352050473944522,0.4489045135348153,0.4063065983056664,0.43669765156142937,0.4862172207239788,0.5869171970287632,0.5331701369381328,0.6093491513330368,0.5768501472677497,0.7926946402009613,0.8844440682500405,0.7193083635085584,0.6804609617203646,0.5019417506666787,0.42879848773028073,0.42078803894601746,0.43082388218351475,0.5078993264378205,0.47367222267859543,0.673220864532314,0.577705723242626,0.4729747501217048,0.45304329337086985,0.4486710923947052,0.4043101170315579,0.39842689100753725,0.4093847591922882,0.5379136366874352,0.5502207572138696,0.5266886678229482,0.7178180889948022,1.085935824889416,1.4085599251747372,1.4402879482103708,0.9619235589800954,1.1123826197599114,1.2051370680642466,0.9290088095363385,2.651825851428771,1.4933405663532715,0.9298841405819577,1.3565773683756486,0.5859160120881923,1.0127426582845276,0.5307421983465151,0.8407945900541209,0.9170618196291275,0.6874175707522695,0.9359653420326381,0.9979972647226201,0.9347502997913589,0.6648704435460514,0.6610094714928587,0.8664268916056335,0.6438360764568403,0.8710745343936552,0.6536338319215951,0.9335768398844647,1.2583100943534713,0.8200178039734233,0.9893198943414285,0.6353178141909445,1.129608558482886,0.6109208022206901,0.5887749416128747,0.5151672254804236,0.4992396608368784,0.5592201344350384,0.5912713666798938,1.1372941350550336,0.5476539236894119,0.5460556453583778,0.4668532645430619,0.45629339720775264,0.6039288941957994,0.4623533928220368,0.5647857158591224,0.573163217362077,0.7910823136043194,0.6621646813538743,0.5967382613640687,0.516515213855689,0.6262343844114143,0.6098283018803523,0.5639109246364303,0.5522610900244413,0.9566105536966482,0.5818495292044858,0.6440086091041742,0.4825778739478071,0.5340291727385859,0.5023753929520626,0.47167286729998736,0.7281661214256996,0.4164531270337972,0.44367279042696134,0.6411721561180196,0.41974816296375544,0.3221352531269266,0.286227663676965,0.32775691717860617,0.35059485813533964,0.3783981628134727,0.429737871496361,0.5029701264055711,0.756008346769455,0.5682060840199283,0.5538527596897986,0.4253692854409421,0.46684918666975195,0.36390753833972017,0.3026794393330415,0.32664844627458,0.4264779230716619,0.3436818948094421,0.35772775821680847,0.37204674882159705,0.41161068534858336,0.4669361958553307,0.3841266967075587,0.4503891011336966,0.41549342512192994,0.404918679453265,0.6200251781138427,0.4455142010473415,0.4938250420822784,0.4170334023278082,0.7142310390222003,0.7758853040035087,0.54777126882486,0.5525651896990262,0.40703038180469314,0.39226406550131376,0.34636136408214996,0.3831582192566768,0.3440048633648855,0.3706191409717675,0.4819110434050208,0.6222623470929979,1.196267610987032,1.8143070446461034,1.4492530844276792,0.7099034307963665,0.4839630705855866,0.49155867136143494,0.44679847864043054,0.4458395626165932,0.3614889159709007,0.3770964316225507,0.37361098215044725,0.4198789757611154,0.4264798595242557,0.5573167514316756,0.5146956325520399,0.6909428835267627,0.6587187477519444,0.6582060474444035,0.5109916950909361,0.41990335181126676,0.4109022258321848,0.36970285108598466,0.3709002429401179,0.4378995147520202,0.4584755170563845,0.7132590724613008,0.46717362652940037,0.47344804119741946,0.42010431294328976,0.3835329282209039,0.387019711562009,0.4179654386063095,0.4493006608475152,0.647090311499439,0.7360228851995804,0.7934371044552916,1.8104296586382964,0.7824858520174377,0.9746154321041491,0.8748812841226408,0.6885331561260979,0.6099765309950316,0.4752130855645264,0.4991098971017684,0.5350912697367364,0.4547646547552478,0.48711643298138974,0.5546464687384126,0.4423305328663564,0.5021869807926065,0.4364730945351263,0.4621847416943693,0.4682235283268607,0.4875797506405288,0.5884685876249668,0.5385795185177891,0.603014343183072,0.5612917967450475,0.602702518647026,0.6406857083466809,0.6709853175857188,0.6528804843650511,0.7367634724990851,0.7720421140898881,0.8631978446749785,0.8282224890954766,0.6427167404584684,0.6464041453269247,0.6910421282746603,1.9858309155525744,1.0319626870327792,1.6046564989326977,0.8743475212422833,0.669789422045277,0.7181225035460576,0.7450398808828791,0.6688419532781089,0.48572699449659856,0.6222583707082963,0.6390056196070509,0.8016775268407017,0.6225504126684761,0.8907104872707466,0.8199524177668446,0.8290484822555881,0.9781509163713297,0.5987482188763291,0.5272750761510312,0.5310405961445802,0.6309679598437582,0.798801365766711,0.9494989487748366,0.9414754582069161,0.7121542542538036,0.6838161134111278,0.843695993856737,0.7624771456993925,0.6157019947586775,0.8242708168255959,0.9087534100220417,0.6881489451040265,0.7722726814710847,0.9883920693061501,0.9555739908533889,0.7832697254066604,0.8363329372463213,0.7337955728524829,0.6980780044217021,0.6212046424262447,0.6119242327491182,0.6452409879598638,0.5518112565865324,0.5549036511776594,0.5427406619117592,0.5836798319703502,0.5053224749352756,0.529271770697129,0.7469006234926759,0.6965206182506575,0.716080930571304,0.7326473723132664,0.9680852528980289,0.8474466730581446,0.8372584464002945,0.9431589413024475,1.0770365107057989,1.1555819981980502,0.873431512461164,0.7311510659882968,0.6394913694381437,0.9017163056925266,0.8138132599906491,0.9244923784302943,0.8953371720403366,0.7154658449509556,0.5709634867092854,0.4741937186993604,0.48837598658344683,0.5518844418463081,0.5186354063679816,0.7924224153728192,1.657381996592384,0.5032434986040967,0.738838828255718,0.9239815712650447,0.6590538517023623,0.5202858090737416,1.3296743863555327,1.2896678171882947,2.0953802601154035,2.795957662123833,3.478618772051649],[0.6929146685166802,0.5213721263949592,0.4779366904853993,0.40052312031463144,0.38438770289908725,0.3901792359036503,0.30873870986144003,0.4355479321470452,0.3426342801402864,0.33293882056542096,0.3725314869606441,0.4772589643346028,0.3528227481681001,0.35881202881994856,0.5234585501764716,0.4541697661628697,0.45031971819396577,0.4977537642040406,0.5589242116545543,0.5181921598245209,0.574022616504352,0.534429239844571,0.7395927903974902,0.7881240792133585,0.6666418756115822,0.615422271026935,0.4661280118540317,0.41347820326893586,0.42292464846259614,0.4646851914178254,0.5491207168507173,0.5207863808486162,0.6850371794764933,0.6041292742064441,0.5113138847933781,0.4904267106981347,0.4931948796767656,0.43389416070369213,0.39848046552292143,0.43256971091358526,0.5659802199128356,0.535472011986009,0.5168717773223798,0.6772170905482373,1.037640154335599,1.4143910584177217,1.403075259509159,0.8929439468791165,1.0815681915274253,1.1590630483055469,0.883917985651622,2.679891383799382,1.5519439624168327,0.9365770569293537,1.4176445723369386,0.592028081809565,1.0117636321290047,0.5424671195742351,0.9336890091671978,0.8617505325890362,0.6563775887931876,0.9732582073764564,0.9955539863644528,0.8551188703589822,0.6178836663613365,0.6328476550125414,0.8186140641863356,0.6386018014678956,0.8371269765537532,0.6746849427801247,0.9398479951592964,1.2884043380409156,0.8763219936274448,0.9807459383149992,0.6647839030574002,1.117840279107749,0.6093371948321985,0.6053165646786105,0.5457830677023002,0.5173465974970435,0.6091578094875417,0.6250666964293524,1.1650753539318532,0.6136174509371984,0.5342795527440015,0.4957835562794178,0.48944932681003,0.6454776984855513,0.4889241249911718,0.5999507106747552,0.5836143209556437,0.7676399854373617,0.662652686231075,0.6228081940064549,0.5621531345403473,0.6488620208010799,0.6923876408268127,0.616303365807544,0.6105202040221626,1.0002911769500822,0.666393221428303,0.7168529250691603,0.559313884742558,0.6261772650277819,0.5935124273083553,0.579812807857935,0.872330296377084,0.5587509998525962,0.5648755238438362,0.7276446720614497,0.5473081188142407,0.39583584574019376,0.33648597427682614,0.3657472920290349,0.3734343018162972,0.3475490026505742,0.4070699273263258,0.4494846372167533,0.6673126684641381,0.5350513621006475,0.5275043093457817,0.40665593483985624,0.4075625697268124,0.3129325987084842,0.3062939697612998,0.3241970932473094,0.43332587516175913,0.36870928934596076,0.38608530574689004,0.4053962626083925,0.40011543225913837,0.49405617807882846,0.3722743506556004,0.49386319795709605,0.4148513530705474,0.4033815702259542,0.6023714117659476,0.47540645202830334,0.553614809884643,0.4153037892097837,0.7121000585038773,0.7134986245129923,0.49762864131767026,0.4891389428457196,0.3879789195780956,0.3991395450490304,0.3507798083728101,0.41662074015270767,0.39711989670282916,0.414314378579184,0.5489204118931353,0.6294050654154842,1.2297098040229721,1.707830836929743,1.3478258508335734,0.7480796691342917,0.5636367093945034,0.5760012623183877,0.5117756389932051,0.5014259198935029,0.4108048000586938,0.41548457972982644,0.3795373329838287,0.40755444175454275,0.46011411260126794,0.559880442199877,0.4961893937448524,0.6626956197737482,0.6707962360050468,0.668814859108071,0.5033807045493193,0.4422771925652183,0.4674041801822732,0.41448404250555065,0.4312522532822682,0.5166230362858452,0.5116853777000411,0.7843188668032541,0.5018945528159648,0.5370106182654601,0.47271952223267083,0.451265065321456,0.4346975397554604,0.4341287620771495,0.44427422831086555,0.6552698217788779,0.7503089129377557,0.7804477242753833,1.8827477286243914,0.7275129920003264,0.9685146721040114,0.7709343207865772,0.6253152434515097,0.5577545397601543,0.44855465403563277,0.49158227935441984,0.5412066469858511,0.4416665013189134,0.4803770388362561,0.535087281093971,0.4912895459980289,0.5672478790290021,0.4636943789022663,0.5048493814966039,0.5623851178848676,0.5624121400381715,0.5875031454942017,0.6019367505467739,0.698179702996587,0.6227165540242593,0.6735431221705911,0.7310183995558035,0.7446678313165005,0.7160077745905653,0.8125125652025406,0.7814194684670704,0.9209781334218488,0.8471564434206301,0.7087200995920441,0.7323703947314154,0.7786042590496348,2.023582158564253,1.1207952098909053,1.691950930463418,0.9725906134222326,0.806887110319242,0.8071537780867141,0.8429446587822637,0.7595506891729912,0.5936961226857334,0.7348077030519271,0.6905014842745781,0.8694983450561427,0.6748389724738406,0.8930596285670597,0.7610736749187765,0.7915629071544273,0.9253206033094118,0.6044819696306319,0.5543413831130458,0.582740113070129,0.7073244222996778,0.8660609585941185,1.030527990252314,1.0025706040583962,0.8110056721938843,0.8210539531077476,0.9811715951073702,0.8592986666782829,0.7484289193436225,0.9471879877513468,1.0112495411534064,0.8028710527984931,0.9080984039447171,1.105974576239795,1.0340589490632832,0.8833762781686076,0.9543157467804039,0.8463843792596689,0.8319533621874186,0.7641627516172131,0.7550300246923498,0.7712332973498639,0.6623704296210364,0.6721384239785749,0.6674524131537068,0.6805117954507856,0.5813864289211751,0.6322314594935255,0.7933727683105992,0.7149010222028981,0.7076746514452845,0.7484075291262122,0.9516166817170133,0.8297929160033772,0.8476076622665447,0.927109442177394,1.0478982945751047,1.190952806276864,0.895195367878318,0.7254214465411751,0.6745545380268553,0.9548495300285469,0.8369151405103854,0.9186923782474593,0.8724224181895837,0.7081352808430367,0.5576629185028845,0.4705155663439798,0.4528603241780724,0.5254338970491338,0.6117644577642722,0.9123334108936869,1.5465394654593139,0.5965803136158445,0.8396515081918431,0.8921559736368511,0.7446040653424315,0.6133621466022942,1.3954908929459142,1.0979108547045262,1.5176592733900522,2.266301139932902,3.199114951972214],[0.6363540841179309,0.46730929720632713,0.4256565113137591,0.36216440487276746,0.37260398695593216,0.3729718345290062,0.30229462964070936,0.4366270489881332,0.36083946306886333,0.3355947587227985,0.38748591477570593,0.48091962713255915,0.3685964543843966,0.35095000044670777,0.5074158301958664,0.4403822131159853,0.42604637075781204,0.47270257416098427,0.5288398284705111,0.49599730553687804,0.5516032148329295,0.5065797094427534,0.7178274214525754,0.7652534976305106,0.6799999086946145,0.6063330331599918,0.44692150220713517,0.39905501700524026,0.4017079772363275,0.4396342656910056,0.5168274982424808,0.5200928658110938,0.6424880388717957,0.577821884807257,0.48884492584265926,0.47223190788357977,0.47386623491561175,0.41610815800853435,0.365629806163556,0.40437117823286123,0.549476514715349,0.5182929940743031,0.48750227581243594,0.6575836550181916,1.0566728455550685,1.446763318112826,1.4312297789973139,0.886216358321976,1.062633447162384,1.1641050052627258,0.8820208471338542,2.5856430078983883,1.500439801067607,0.8588030661389175,1.4576348016075311,0.5405795430892637,0.9242091218932799,0.5344379843177216,1.0136909281789466,0.8301042843089406,0.6398589137339213,0.9704994335927962,0.9584627835463922,0.7937254986555653,0.5786183074528067,0.6049780332178272,0.7935787284024831,0.6082834855833082,0.8014858406861777,0.6496687721523856,0.924175422091694,1.2632733402902598,0.8582400291793589,0.9399780334047948,0.6436413436308107,1.0815933420606891,0.5756831222051967,0.5697552455106042,0.5184443095484006,0.49739370652053977,0.5865331148837951,0.6035637763634528,1.1224386929357135,0.5669912582476074,0.5405915548107869,0.4932469974742139,0.46585267453789975,0.6061072285353488,0.4671923208890711,0.5669626449696801,0.5608172902980962,0.7274713655659804,0.6372344576226648,0.5929926113764685,0.5355427001602503,0.6231430241223621,0.6724372671631077,0.5960664304793419,0.6002384016480097,0.96527847534701,0.6674364577049794,0.7204397291359282,0.5442493103757502,0.6311052843805683,0.5965973824726515,0.5842055996349189,0.8905157881227467,0.5606550874428319,0.573654278358706,0.7014128722144918,0.5590604452205606,0.3953330471715404,0.33271995104867275,0.34506645457549734,0.34999617938335637,0.3276614050374974,0.40306029655229136,0.41246021803975913,0.6378992608772477,0.5076904234172122,0.5033801197166813,0.38701313442429813,0.3927879246789597,0.3007217910562194,0.29172295632451856,0.3093407201114395,0.47127405557436136,0.3567446780124936,0.39052569716815905,0.39514365966779885,0.39069090249937055,0.5050897371916522,0.3668761811061561,0.4905156548736431,0.3924460783034861,0.3818883399002302,0.5932818988873974,0.4490347642759693,0.5207418953512647,0.3769437359684495,0.6650236344176484,0.6387228738600172,0.4534352885607604,0.4734590407484484,0.3605531657417392,0.37211239987921196,0.3276535548426251,0.4096980840224717,0.37800742383685804,0.4143434719054965,0.5530962029467292,0.6062660461594749,1.1968981192192212,1.6347090490143734,1.2673304125228049,0.7170100579803105,0.5562674828298992,0.576199775501471,0.502464359929972,0.517182239341657,0.3827511827379768,0.39467194574574727,0.34758537845931015,0.3980205457412827,0.4332777612922003,0.5375341825645163,0.4769205216566706,0.6536766742286656,0.6722611014629011,0.6720286181795843,0.48553099444210346,0.4012814066062083,0.42924403831041613,0.40729625739800657,0.42304899743016366,0.5022650836654226,0.5148595727137782,0.7950434730090623,0.49766108746124066,0.5279157973516962,0.45748571056603604,0.4387784204297897,0.42292614919331506,0.41789565491600994,0.4386450969876861,0.6363711568130649,0.7425286007114458,0.7515253803855654,1.9322266773280699,0.7154549574439074,0.9167864317202259,0.7394457504685439,0.6065550758479148,0.5440902132779042,0.4412022014157544,0.47648863430087546,0.5067438267946897,0.44191562325731754,0.49239947812590146,0.5521324060619137,0.5137905633405122,0.585656959462868,0.48772653144987405,0.5182270384553025,0.5697328001759265,0.5715867292769761,0.5897790773723839,0.608542353588138,0.7048408380849129,0.617907252124218,0.6660096556965911,0.7225932255432836,0.7292030724639599,0.7144610016289256,0.8074855685940131,0.7904496230375044,0.9338392685452891,0.8821137696817851,0.7109476808535464,0.7435611540286245,0.7892617249223847,1.9718257879297898,1.1355956887900838,1.7033736493884062,0.9054723087259609,0.8030416808709712,0.866039783279279,0.8619602724645374,0.8025295383588095,0.5990885156235843,0.7247567390395139,0.6994252943604032,0.8878538048467502,0.6971045550223222,0.8897485452144509,0.8490462587427992,0.8505100854059964,0.9251427064161812,0.6308645312383928,0.5669241830486307,0.5790874290516393,0.7079821314774926,0.8504671963832074,1.0452710131355125,0.9771298348403888,0.8161855538090809,0.8337521103890143,0.9613461019698947,0.8501204510448037,0.7624931837635225,0.9721313477629772,1.04442701301569,0.8209647615685035,0.9242442481043454,1.115443248041169,1.054796728900674,0.8774213294274059,0.9518809575803608,0.8467581658242673,0.8339005047778137,0.7570655647383874,0.7423742807820838,0.7814869482033165,0.6588020875487626,0.6578707784186684,0.6667812565444432,0.6828290973495638,0.5961519538748644,0.633053258358053,0.8117093851676129,0.7411988269845091,0.7546791652667846,0.7720100530276459,0.9982054452443715,0.8543126914514765,0.8661853572066498,0.9572326839397512,1.055220455856975,1.2542019485005218,0.9206657210315862,0.7489039084809455,0.6763688506560384,0.9623886974049654,0.8498698788826436,0.9274251878405372,0.8784673289171536,0.7114131269336356,0.5623639501758101,0.47281800717901473,0.45208379784294,0.5607006770922897,0.6223869186098677,0.865807953159855,1.491296322767916,0.5550695500399759,0.7855108547362514,0.7707810272938491,0.7428998528995358,0.5500559733214863,1.2891655153630808,0.8521422687900794,1.2191361641234228,2.0872939156361383,3.0459712152837417],[0.613353606402733,0.5031352816115575,0.46754669532521487,0.3736575830858999,0.4291620042128492,0.4034921848034245,0.34627025904089925,0.46700940990325024,0.3804556995023183,0.34758105144826756,0.3911620141262459,0.4943265825628681,0.37853918099835093,0.36562197151628967,0.5039066791912448,0.4406704307223646,0.4393225679986419,0.48614384266842126,0.5549220729853201,0.5163808061718365,0.5875024333670836,0.5488657933123247,0.7614747109620671,0.8177386048130875,0.7403731989166016,0.6612135967302222,0.4746956985192374,0.4244262350078216,0.4166456758566439,0.4431209921624637,0.519985045254968,0.5222057173972234,0.670103529108903,0.5886182367659698,0.4888611441542968,0.4756474370248139,0.48036784815835243,0.42102384870445214,0.3853409100823191,0.4265383624699502,0.5752530771690805,0.5138587108275839,0.4814724618836349,0.6809648416376095,1.1000992646936698,1.480936435691514,1.5036610156707202,0.9289152804867747,1.0997672513291736,1.2272144892573433,0.9278442792802912,2.553693740088875,1.4800132906884462,0.8833806057894665,1.4898209042940924,0.5456775962988265,0.9235601261373111,0.5368496377320223,0.9684983448342045,0.8403350443476133,0.6241444130403161,0.9174530168540461,0.9507982215966,0.854171861490427,0.6104590839654969,0.6233671395708917,0.8229302099054049,0.6207838133367385,0.8365756410410288,0.6501972224332254,0.949948984555915,1.2645775992058954,0.830403753379885,0.9457148165794671,0.6332771502674781,1.1295592468111602,0.5837504113437353,0.573616941208735,0.5152443162235706,0.503127274063623,0.580796956028499,0.6108864111753761,1.1328959727973498,0.567202743072439,0.5509518477695566,0.49990144902863,0.4641796521181201,0.6158869934590165,0.46713663616499673,0.571959287281112,0.5648146579665927,0.7645925815330654,0.6481308717917769,0.607455857389412,0.538931272207835,0.6377078095619383,0.6596089191026171,0.6082640152144373,0.615722460121286,1.0108927219762496,0.689425613141536,0.7570993280250577,0.5688539257896879,0.660362311614199,0.6115706419970035,0.6175521475617645,0.9353595631487857,0.6407866229176519,0.655138568928088,0.7555729601229813,0.6266682852637887,0.42903585293403235,0.36893445755622734,0.36951734289461746,0.37297331839287856,0.3652631291829119,0.43732055761437894,0.4743955565935903,0.7027637868204543,0.5447101187261255,0.5390029177382905,0.4199280136895962,0.4436888950227408,0.34529764244076777,0.3257981886304902,0.35213063698426206,0.5520051592336135,0.4001572301871328,0.4330444212714722,0.4200294268073235,0.4184712937400346,0.5245024577731434,0.4015283419584786,0.5165385814989965,0.41062353757199294,0.40142726488046554,0.6125950745053068,0.467822062900677,0.5212595217195353,0.4121293023031557,0.6951407019180413,0.7291355521838756,0.5094341276856577,0.5273732269283519,0.41323485183397446,0.392350176270039,0.35887164609216576,0.4243369406840066,0.4004880952076823,0.4458502766708103,0.5972410119361931,0.6381672613491238,1.2107791918792714,1.6111352734941153,1.28516363396875,0.7532724084902189,0.5859672064430694,0.617669755617312,0.5202647858379342,0.5253675511739611,0.406407864091306,0.40426967313048495,0.37133257910005113,0.41078831751421824,0.43314250016307143,0.5793737856632879,0.5178065506152895,0.7194532804096463,0.7273951322502616,0.7137536013374968,0.5168841344408138,0.42570877791607825,0.4417673108519485,0.4305021110955338,0.43684786395031466,0.5227093683506376,0.534321619794936,0.8024025861332558,0.5150152851351021,0.5390902462351406,0.4651771367898934,0.44451551338828077,0.4351714280146178,0.45384573422390034,0.46891410896090235,0.6623126581182931,0.7787486801777145,0.8048389733561206,1.9716313705533886,0.8151278165112114,0.9537768859042103,0.7661107132285981,0.6481273858676981,0.5956294029862244,0.48549813179307666,0.5224421250466896,0.5414464701271413,0.4975168940516066,0.5404699228761091,0.5748592231846638,0.5726090957426726,0.6325932905768726,0.5385105027453129,0.5778199644790738,0.6439889280669644,0.6381819232354204,0.6192645429771599,0.6732237978789029,0.8155477044874874,0.6860598282482547,0.7192857916006017,0.8145418891586864,0.8283354073276622,0.7475657709807458,0.8540182066159934,0.8115695827355127,1.0336551170265353,0.9362112597677124,0.7795787587117156,0.8338829925425814,0.8992947042387458,1.842288408551986,1.3228553057366357,1.8125033480816948,1.0012979367427057,0.9252160910434284,0.9905506843850639,0.9373339211523873,0.9384794889447335,0.6683495119557887,0.7575164846373353,0.7100494619177864,0.8960549901797467,0.7291570251196925,0.9009619772942937,0.9150248071850077,0.9172033385211978,0.9844715032882396,0.6775824144717487,0.6227088534062571,0.6355166647079998,0.7545317816033356,0.9044982537884224,1.111793105013517,1.0483127712842533,0.90200690907055,0.9560481736551112,1.0688205200377745,0.9322229299212225,0.873434517050908,1.1097352078304432,1.178424687252088,0.9562040631545404,1.0841665087953856,1.2749894406948994,1.2191812112100573,1.0201760612716482,1.1124303367889143,0.9717780523048702,0.9768834304518883,0.8946689478988069,0.8822614803863364,0.920982322959018,0.7731057028219498,0.7515365581713622,0.7863138321129852,0.7823261828513427,0.6929610979212855,0.7375203713262636,0.9024496086113665,0.82802804341701,0.8601777810949957,0.8750980317428396,1.134958118569482,0.945113932227876,0.924343450413556,1.0490156902867727,1.0907862136972923,1.3239967783791566,0.960475342108665,0.8030742633092228,0.7066635240767024,0.9652691593170084,0.8814051658951902,0.9686146617581907,0.9218892633435312,0.7593385975569966,0.5710493470168763,0.5117348742178818,0.48527652872869603,0.5018032023913483,0.6348368763806718,0.8437512891751526,1.4361320504173902,0.5890317592958457,0.742259821142792,0.7485113077687215,0.7996621214460319,0.5873819857405598,1.153332632496029,0.7633227443376606,1.2075327965944207,2.221442055136464,3.3071972941827035],[0.6784729184055567,0.5741384710985338,0.5431645758206565,0.5053072202928969,0.5167731547493644,0.5321120981164595,0.4669441334520986,0.5230392415249383,0.45844073170657773,0.4520587426092301,0.472431022546527,0.5533442183202512,0.46463668428104027,0.46730834628992407,0.5921965287050935,0.5288503457961232,0.5226687005787033,0.5698318196273426,0.6116809978360419,0.5809683684995172,0.6312011470812041,0.6078998970571219,0.7531801063381063,0.8314287872880609,0.7540788393653765,0.6763283384287757,0.5372621385839657,0.509332050983815,0.4900235495079461,0.5110276805167194,0.5994312315754963,0.593692735120274,0.7103150409274485,0.6416922268575015,0.5708796812811548,0.5446778859704268,0.5393520725326584,0.5025964539206457,0.4662775368207996,0.5058687314640514,0.6185858126184668,0.5921423922856618,0.5631790441629929,0.7239821426670777,1.0685000390581259,1.490744252967686,1.493190811580459,0.9108617134177722,1.1037832625534933,1.2092472335117086,1.0029955180764474,2.6596307511814268,1.6445230684697427,0.9646186619911945,1.5013571603899654,0.6525461696249591,1.038143011283605,0.6051620708224216,1.0302045572023522,0.8415111422685219,0.6842767113469453,0.9709421230909119,0.9835758731569987,0.885154217353124,0.6402636433918235,0.6697993785692499,0.8605288459428526,0.6846223646735492,0.8673469779746936,0.7342599293782026,1.0311325602581922,1.3675595597049446,0.9414769928172569,0.9662862034874914,0.7178381940289996,1.1067425997922944,0.6371479098387212,0.6465210230384011,0.5839621603766136,0.5681527788122522,0.6589839421112407,0.677477211107514,1.136783394845422,0.6295139188177092,0.5954830988109929,0.5774445090736731,0.538455540214302,0.6662445169569584,0.5491387760322122,0.6232943904475,0.6332718695456545,0.8160594497248658,0.7057059801106812,0.6622928770670011,0.6119849114466869,0.6929449577730412,0.7242253927460774,0.6760521651212005,0.6753590078529622,1.0413710863783998,0.7385957107150304,0.8248120275495194,0.6495801715016382,0.7104103708607014,0.700268519611957,0.6801024408199572,1.0031750189831736,0.6852387816606929,0.6897147602835592,0.7713771543618433,0.6536127242070037,0.5034883342790468,0.47156309595812596,0.47530983603302696,0.47466678780517396,0.4978962153702751,0.5549959345925215,0.5376309285041229,0.7078410756016962,0.6200976727959799,0.6150251799553792,0.5313600809460611,0.5582853813531954,0.4916603934620276,0.4641428408305621,0.4957381991476385,0.5875972546582673,0.47906925549431517,0.5086657308686552,0.5387346394496959,0.5217264941746803,0.6225465459194416,0.5057465563946262,0.6264182703530912,0.504719254168124,0.49549823330401754,0.6636286784166958,0.5566544610616369,0.6241839532181953,0.511435976660432,0.7047837625426108,0.691869120936793,0.6052484211799377,0.5693705879011985,0.48461994617808263,0.4772716791312136,0.4454056254156197,0.4992606059054889,0.49749750148271293,0.5163279983223178,0.643563774138116,0.6482180456042822,1.1833102108076576,1.4993787142430532,1.2765211054133427,0.797088127926057,0.6435971193563365,0.6618893445458413,0.5812197330597558,0.5999950566498401,0.49482079042987487,0.4924083814641423,0.46008947469701705,0.4850275683380843,0.5442164163407857,0.6673116539211238,0.5749792457207927,0.7133786414963086,0.7475968734510517,0.7374744113677076,0.576814430124963,0.5086616155186116,0.514031451732912,0.509159334332031,0.4960196439012169,0.5777740902672791,0.5859431752917992,0.8487510305168925,0.5562861696785254,0.5852968201091963,0.5527059255426633,0.5740526433101729,0.5596200915583158,0.5251618672427583,0.5134052879989534,0.6896653179943609,0.7920237677133944,0.8028421344326564,1.9487828742322266,0.7601426639360895,0.9741975425296598,0.7403839551673613,0.6587211803216547,0.6345298121410675,0.565124533408251,0.6096701602045984,0.6150400565832632,0.5404680411930518,0.5801309111331524,0.627383013485862,0.6071698401725072,0.6734313842079135,0.5838011818581701,0.5889218086194163,0.6650615317118923,0.6500516081769461,0.6267152411008514,0.6786217559934246,0.813105246280825,0.682397799309222,0.7239519388501344,0.7977728135612748,0.794336625044803,0.7548428245368912,0.8475544485496163,0.8300829865205044,0.9995874851181225,0.9568573057412738,0.7946197601987356,0.8348566123314813,0.920373316666622,2.0022294111434293,1.309341315627882,1.7437251865156573,1.048119876704763,0.9387740964505379,0.9530756507961954,0.9235332953900178,0.9046152348922382,0.7382259437048868,0.8335741057601128,0.7921711620391245,1.0011874991473062,0.8062550750042173,0.9402600535368468,0.9285907599586857,0.9139986275050862,0.9408158739190232,0.7090249546614895,0.6655505364604712,0.6886751662102721,0.7988593225509266,0.9477696614760233,1.1213347428610778,1.0969356108698067,0.9541196024472748,0.9802971905944639,1.1120356474311572,0.9772629104764357,0.8888454995228481,1.1012957460071835,1.1617335783904414,0.9446718555514074,1.0758645296448095,1.2715862052328497,1.1846202415015237,1.0070188752379174,1.1060263246507278,0.9681611372401664,0.97826810772891,0.9149513939113452,0.8959058943720883,0.9115112675355805,0.7754759594421066,0.803197667811667,0.8021666930693487,0.7918760517378559,0.7037107952572056,0.7623907831881341,0.8819348450000676,0.8114845800597417,0.8173154182248438,0.8569955580029919,1.0849867744600974,0.9191836925628118,0.9331996766157417,1.0554595567425715,1.1117805878044846,1.3433801795786429,1.0024277334996872,0.8176660657025615,0.749870191957993,1.028303837144992,0.9304114561590685,0.9970094105370864,0.9251357791706308,0.7758252290992208,0.6180040816673886,0.5585369384480041,0.5509513306579592,0.6562193836885564,0.7786089465989242,0.9656477433272658,1.4183497341511524,0.6408974773160738,0.8697805340967927,0.7744870047973609,0.7799025145952554,0.6679688781178209,1.252540518790977,0.8737263101894457,1.3588823659552443,2.3919148260621967,3.4294716986730127],[0.7112180052144531,0.5616237971723164,0.5194585948188561,0.45975551484846344,0.44434126246972,0.48200173243455513,0.4406787789665696,0.5656383919525699,0.4941550668346708,0.4778624885618094,0.5418275328902961,0.6206009274807047,0.5264358164254681,0.506504057999748,0.6955001755507924,0.6237018261214341,0.592738328973385,0.6470052456965644,0.6777001998773367,0.6467146747334012,0.6830235548849625,0.646639255579935,0.8314141104908712,0.8528757459608727,0.7486063549394677,0.7028655286488449,0.5738532158723388,0.5461950091187286,0.5710848504409878,0.6186093729452848,0.6824859858346531,0.6851327036406163,0.8294272220576221,0.776948388465577,0.6877183317374873,0.6637655738834599,0.6634317084257734,0.6001014411590461,0.5384886034293633,0.572152438812859,0.6914066589299713,0.6689079186639665,0.6468347799946252,0.7545596584524424,1.073541548250955,1.4699157978122004,1.4451484138662039,0.9287300827610175,1.130050662652432,1.1811010054191446,0.9544600826480014,2.6807416793139924,1.6187864503985898,0.9700637411328208,1.4562054121562522,0.6969727424316061,1.0666988639435127,0.6518259130499584,1.0922194236096683,0.904893294233269,0.7714640376990117,1.112933184617661,1.0739159106231775,0.9135942852492394,0.724072996153896,0.7228809600273391,0.9170534197242151,0.7659217310867394,0.9252327905763361,0.7935579898298813,1.0411506675018758,1.4167038676544355,1.0121618903823097,1.061322577556895,0.798795812955094,1.1934939019968582,0.7322469274437065,0.7614297760517557,0.7090414997654881,0.6883973027718276,0.7508902625340355,0.7680419267362062,1.2676993232924194,0.7472106655611978,0.6694937296828535,0.6694472670404913,0.6459008504966535,0.7760527260017824,0.657671717979242,0.740669866900068,0.7511478084001793,0.8578255086921759,0.7958489709197933,0.7789562653993518,0.7180530192261997,0.7961327730605824,0.8432071449571716,0.7821216650354245,0.7818444533362886,1.1047806935977742,0.830781886094559,0.877224204889138,0.7368456547882544,0.7927667232827382,0.7620567981164024,0.7279301390033077,1.030845565431701,0.712946584703599,0.709141104233423,0.7988760303217188,0.6557363673726899,0.5293671806603212,0.48071441442645846,0.4648309363584326,0.4787718492091983,0.4412353048518469,0.5192934386564793,0.492251309202156,0.696037608212864,0.6280896515834657,0.6031536872736939,0.5069261720426622,0.4838974146795512,0.41876974110760945,0.40850992502491673,0.4265420645580681,0.5425085672624238,0.4773919023768183,0.4917712620136208,0.5295816962261122,0.49634803233832725,0.5907925802123158,0.4828225473595949,0.6106572936697834,0.5189453223438919,0.5059736743122168,0.6634131021351426,0.5393762102980822,0.6053976071149282,0.47926207694225387,0.6837738650561846,0.6379305275128173,0.5511921625416581,0.5678689651991149,0.48672998580528165,0.5254402742235472,0.4775567840479531,0.5551252960308513,0.5344212927545218,0.5583480142896824,0.6807261602601645,0.7106930087950493,1.2550842468601224,1.575527297358947,1.2455138158834695,0.848348328400026,0.7153339487468239,0.726211922423311,0.6674599024024818,0.6554287158822001,0.5384572444223436,0.5652161170834157,0.486671651617648,0.5308143864904861,0.5754446965604394,0.6157721348195351,0.5649340886539713,0.6852288236536558,0.7287045951353217,0.7210717782434884,0.5717865417232771,0.5074460641425952,0.5608896305540576,0.5611300141866672,0.5941858851246185,0.6738732671851619,0.6830049203928021,0.9709919788796498,0.664699687864044,0.7148305678687199,0.600453185569718,0.6065417547175244,0.5784035271796355,0.5551085335307862,0.5581299731956749,0.7298867016375175,0.8135328069356893,0.8246587060825459,1.931007345899386,0.7414055156150433,0.9553698084304275,0.7836807136409273,0.6690072704705207,0.6050119250567838,0.5217097296469186,0.5468398337847401,0.5910527374245099,0.5202340985350873,0.5445451275560548,0.5879112508429687,0.5941240409352319,0.6736499489593927,0.5604428140716368,0.578599626061971,0.6544653174706885,0.6338324178839544,0.6236535108769671,0.6746752712867972,0.787373049978428,0.6771635486164985,0.7386150948024265,0.8072124507790768,0.778482139054361,0.7960540575851677,0.9088295588614618,0.8748649889641951,1.0106748797477247,0.9671137218013256,0.8083049047280516,0.8632558552094444,0.9190228038571432,2.0948861297726724,1.2835358805799626,1.8154783248498927,1.018857874054081,0.9445444752963009,0.9675350466479221,0.9848979281686346,0.8876470999174885,0.7231559153088891,0.8472102401935429,0.7834268966494428,0.973036632921973,0.766196529082663,0.9595504393484776,0.8556576098896359,0.8620351296011207,0.9168556867538733,0.6691322211769988,0.6721892716980787,0.669698617531439,0.8105811405901199,0.961715608488835,1.1637305221668186,1.11548808995167,0.9425551359352706,0.9748960695577779,1.1196097161963876,0.9796095397825523,0.8665500036600836,1.0682979187670463,1.109837823831172,0.8965277558392298,1.0304727535161056,1.1992262127328805,1.0780625210877253,0.9638371209134857,1.0588733669145018,0.9494678773271508,0.952707298588705,0.8840314520836793,0.8856656236796768,0.9022473599820002,0.7592965840838616,0.774959796862253,0.791416630896355,0.7900397333288096,0.6732200109154426,0.742253345597569,0.8711594836483988,0.7840785343396706,0.7542928890697183,0.8293695708453285,1.0022648784667099,0.8788260352726702,0.9020560311410734,1.009615424614469,1.0778445931591039,1.3164264737550901,0.9835875164245514,0.7955921459774048,0.7369554136915613,1.0192851967917704,0.8895558158235091,0.9471097383052698,0.8675528862135543,0.7332511530878433,0.5762538117266823,0.5201509523635235,0.49636579196755565,0.6450978723216234,0.7061596619376063,0.983584366825679,1.4439357876935748,0.6673661315459979,0.9009024456763335,0.805369151266623,0.8050705029063142,0.6436531288853913,1.4299456749815331,0.8673782258183278,1.2095674990619854,2.254418026618783,3.3207887977765056],[0.699090466054358,0.5798647051594666,0.5653772228837998,0.4370989856071404,0.4385902812000019,0.4810139578247432,0.4278027991160374,0.574742122283954,0.47580098269333987,0.4440252107004017,0.5086799535954931,0.5957388291437781,0.49459024089154624,0.47427029930775416,0.6743023392219131,0.6018519387759026,0.5613789799340547,0.6224873333938197,0.6596344314390056,0.6242213165919126,0.672972078803251,0.6305801801618237,0.8229090131098599,0.8531281449901572,0.7522418210150416,0.7028228140648393,0.5527605288473859,0.5132587716644398,0.5410737713576226,0.5922782676655612,0.6718864489975164,0.674619864881717,0.8277889841619362,0.7713966600327298,0.6799971635587895,0.6415598954407474,0.6499613703429574,0.5717132259620229,0.510086629800907,0.5518326905797546,0.6624947514601921,0.6344723304086615,0.6099428373646977,0.7318822202191354,1.076059697554132,1.4820757107158429,1.451029261178866,0.9155479604325965,1.1342643423993626,1.1858828852151406,0.9263324691660284,2.660897364916152,1.597960017977923,0.9575260833953012,1.4523883146347785,0.6790793703287733,1.0613637037177943,0.6296613576177336,1.0392443311520614,0.9038571014704543,0.7586934894923213,1.1060496658132248,1.0967933848612148,0.9570162843206094,0.7141684678534286,0.7252668006603704,0.9231688692673595,0.757402363940828,0.9452350580630351,0.7822595212015412,1.057945224009703,1.420730011420358,0.9884423104393307,1.054905892114298,0.79351259968291,1.2311938930435957,0.7280656670458547,0.753177015126883,0.6945933985741145,0.6647701578590549,0.7471308054955494,0.7633801095538577,1.2791432281735413,0.7480198830996763,0.6617512435499233,0.6563781458175354,0.6236742384306571,0.7834295419301396,0.63547147031738,0.7393958047515956,0.740386944481949,0.8629273105128067,0.7906399163380491,0.7776091532122327,0.7101450907456371,0.7919488553336723,0.8304027940346254,0.7801114583004357,0.7762256355352545,1.1478587315023971,0.8359846170706484,0.920111570430592,0.7566893538849331,0.8289603391161519,0.7955663331423097,0.7660425690950509,1.0801743354277695,0.7737352361491304,0.7794815115140864,0.8458662853744822,0.7162846700410302,0.5426704112675373,0.47675054349939855,0.4452811198121015,0.45467635053500643,0.415239531549056,0.4951708867981404,0.47597168633734244,0.7059393424497445,0.6177060706015088,0.5934256434918084,0.484256160428196,0.4522318734560275,0.3805552553582072,0.3685998704204285,0.3990064415308822,0.5805237205125481,0.48352753621540107,0.5224310544944878,0.5550857113380772,0.5267736638529108,0.6248724408808217,0.5028221507482523,0.6405490218739349,0.5259901143144031,0.5033730641088837,0.6707073310899799,0.5210244960198499,0.5874407766200169,0.4533561612278939,0.684879138940507,0.6406216037991226,0.5283366212004463,0.5553729867014089,0.4609134901867599,0.5000805756286856,0.45168268126063194,0.5386582464009925,0.5295536861815354,0.5577349820114713,0.711447837373665,0.7374455304973748,1.2888235500087557,1.5975627150589247,1.2639624703186378,0.8893834732758861,0.7259686345995829,0.7521102683756496,0.6653249207396876,0.666729934151636,0.5340378495272662,0.5510053750727036,0.4613249301308942,0.5113588018719005,0.5545662181359904,0.5946451406552542,0.5583594066793444,0.6967203371932179,0.7403466706125956,0.7272031588275016,0.5707766558060394,0.49174197445628604,0.5500524632389673,0.551172141863883,0.5897554396534095,0.6807061040591244,0.6811732836116976,0.978057745114082,0.6655569722295945,0.7231017570090399,0.5925192072430753,0.6185920312233157,0.5933942600505614,0.56814493973616,0.5565820210902085,0.7175568166518917,0.8089509733736071,0.8113223875170772,1.9565511415592267,0.753028570503887,0.96155350287371,0.7712870724417853,0.6638398495571695,0.611529965428456,0.5366106019135699,0.5918056646085045,0.6304593376790756,0.5777356331464311,0.6129067610411676,0.6469156592957798,0.6827713337464486,0.7509426626964223,0.6335594729934787,0.6672309247347006,0.7527795831782195,0.718179486805272,0.7056574954342231,0.769488097714827,0.8897156566707406,0.767544905770825,0.8278045298981145,0.8997311231922002,0.862396376714237,0.875352259801518,0.9864708560117074,0.9551866656758847,1.1165641569840936,1.075612242569914,0.9165548798677967,0.9755818222050497,1.0328758800847615,2.0781977688265645,1.4038698450777323,1.911396023136461,1.0869484915165983,1.0695590607084748,1.1004362775134309,1.096562602278274,1.0284580868601259,0.8297708666902912,0.934711221848051,0.8753032845229742,1.0435398161959317,0.8403304612025819,0.9940105427508513,0.9304721931822713,0.9564865448352663,0.9668977147969525,0.7499079162646279,0.7527897867228583,0.7485751729712665,0.8873524355409094,1.033451431530007,1.2669307202583098,1.1793262124368133,1.0247888011389017,1.0820653279053252,1.2159999153732404,1.0598487950419988,0.96451741815813,1.165567356182698,1.1978569580134244,0.9953782026983113,1.150386889818055,1.309511198066846,1.1677397055211294,1.074756757314275,1.1814880708874895,1.0595137509744896,1.076252988344551,1.0063664782795674,1.0179488540672088,1.0292036849291741,0.8688849407612494,0.8898206290184463,0.9078371668962741,0.8942972672251407,0.7881588201503317,0.8547644292687062,0.9730795188261291,0.8931654146489225,0.8780548587829449,0.9388759329309262,1.1316655362433776,0.9775783521806257,0.9784008723787488,1.1228733866177063,1.1537412660084438,1.4101406538407693,1.0649026231563035,0.8885634349191632,0.8163679319571826,1.0661585583092241,0.9565997120139489,1.0235137818421316,0.9418363501780179,0.8160816858986922,0.6305964288029889,0.5774210188884169,0.5260112046938406,0.6467540096764515,0.7282784987789274,0.9797944720443643,1.4156693509922353,0.7089137388550277,0.8892736847256661,0.8132964022503126,0.8596785772244256,0.6613455908554979,1.3538948541524358,0.86498690781139,1.3268636859680292,2.401644245425872,3.475957079242348],[0.8415992482685223,0.7756608625039787,0.8086948812638579,0.6617947104177379,0.6582819200684883,0.704615059653966,0.6435633191487996,0.7932807576256685,0.6506099098820334,0.5991607148206806,0.6179802072468523,0.7253781498925723,0.6447236985223821,0.5600493899356102,0.7243938024330612,0.6823849019460589,0.6454451918294479,0.669350961487756,0.6874204635889428,0.6773031456986262,0.696341747913964,0.6730937990786178,0.8457491739359878,0.8646153659125478,0.7809746933808848,0.7214972515503223,0.6288725105522655,0.6140622784546985,0.6204872302874082,0.7024133574100304,0.7155468446034661,0.7746033197165307,0.8924667946445995,0.8309162936915346,0.763236248074051,0.7170536352416382,0.7717318244718059,0.6885814110164277,0.6498205484378038,0.6882738504638624,0.7989535675668155,0.7224743141864971,0.7115682526369494,0.7934120149474444,1.1671505874107924,1.5832003708848479,1.528676412690275,0.9789579227036828,1.1677897226309142,1.267776226168522,0.9490386029846162,2.5451450775084608,1.5348176338691322,0.940876910913117,1.5811592917968667,0.7998621223670569,1.013151858542146,0.7607729791847814,1.262513022965487,0.914607855479542,0.7996428788404774,1.131515937837182,1.0615938018912374,0.878154872478807,0.7306746375910177,0.72974738570281,0.9053879366769628,0.7571159385173435,0.8985074147233785,0.7840248385008813,1.0098422343310849,1.3721735891777553,0.9817400046239394,1.0301244422560731,0.7927682568887369,1.198621461192054,0.7415526561054054,0.7909137626890974,0.7563403549185602,0.7609224488415177,0.8417234191734931,0.8685596173359432,1.3007648858683794,0.8994020587727908,0.831164146732523,0.7953766182856304,0.7294393407969404,0.8549439342738443,0.7133904762496127,0.7950489718811259,0.7805348905571281,0.8725244909449661,0.81951350981292,0.8100913621815504,0.7482178408129471,0.8116426889031885,0.8549019643063195,0.8412625582728347,0.8767813024846466,1.2356833250630328,0.9947148165723833,1.1466906933714123,0.9556781386486943,1.0657562842533566,1.0219934059506126,1.0080548513905432,1.3074678211323534,1.0635915171494945,1.074005326485505,1.0750786966230252,1.0053424472533758,0.7861940804058511,0.695671832755127,0.6396324314379835,0.6259843742838036,0.5543357839465044,0.5960036518078308,0.5651631440250855,0.7376812954849333,0.6682540606859991,0.632611306092164,0.5729485377040605,0.551211796685972,0.5203209462624239,0.542467430255774,0.5903933764804676,0.8002618164891148,0.7378209181737574,0.7941456920031339,0.8174875131193848,0.8027372483365188,0.8771349632129399,0.7842429331371241,0.889567477205549,0.7899806455575097,0.7617341520963429,0.9067208305319934,0.7307941903686489,0.7872745433057121,0.638736981876488,0.7928926727118729,0.7301840301629479,0.622396842397817,0.6453412118403414,0.6267670278465677,0.6526246303241328,0.6246495594136107,0.7116153793995759,0.7334030787535673,0.7601151474291614,0.9477416641898067,0.9313543081071178,1.424075755733594,1.5921751030249411,1.345930277646619,1.0610094335198021,0.9025437945260864,0.9733346092662372,0.8502364510128855,0.8662495927895842,0.7504108886676718,0.7267398955144938,0.6663154421393934,0.6813951683106194,0.7704703840676628,0.7848588467233552,0.7888515312623324,0.9072203175836304,0.954250104142347,0.939199758742438,0.8121374153064665,0.7195341783261614,0.7771204178390625,0.7748970114694163,0.7959891024718755,0.8780283624782831,0.8453807487194951,1.0916870109683339,0.834180023354301,0.9036033704264925,0.7908006353804314,0.8545887688326994,0.8561356731822142,0.8359701883518427,0.7904319318531896,0.8502577237401637,0.9076781581234371,0.9136423703159219,2.0313811882281576,0.860224350634794,1.0985309280882252,0.9000704268640362,0.8711253883014235,0.8428072854122736,0.7999712173400341,0.8562822135111813,0.8944988073420115,0.8563383551795005,0.8790425519802163,0.9057731537311093,0.9663012253324567,1.0096889851293258,0.9129290342102884,0.9455041504325835,1.0266589582693446,0.9842857881228375,0.9555720620099599,1.0308661616794534,1.1447553944409659,1.020899949685888,1.0614315140798132,1.1307157966831727,1.0964977718416642,1.089296626193327,1.1779662088243548,1.14532416151403,1.3235506961355763,1.250139165863778,1.142184197251843,1.204881774744329,1.2612567089756985,2.1453661226537855,1.6257227953875644,2.0827327606838466,1.3269376674044737,1.3213380428109844,1.35139448493699,1.3274321689924362,1.2783053581778,1.1020481516407252,1.181761276987398,1.1348076069963435,1.2595082566501605,1.1031502264802544,1.2221402443898266,1.14887904161101,1.1771214066669684,1.1414863748122104,1.000293024734502,1.03969130290487,1.0148794343827363,1.121404684666049,1.229114074802767,1.4494126403069154,1.3510432377220922,1.2493361925857915,1.3171318763985582,1.3806162699051439,1.2479704706346688,1.1964505293978942,1.3722382960811093,1.3966419613142151,1.221337949571874,1.3753350307216428,1.5107346539382411,1.3847185597462794,1.3008162525326872,1.3943822455223034,1.284617170540845,1.3063212150534396,1.257981628219048,1.2772043536057094,1.267673772920478,1.133608717154652,1.1552253910413157,1.1681885762824857,1.1454890783359506,1.0626062215377283,1.1323327024386816,1.198339917883527,1.1223436756602414,1.1240339106454043,1.1616380107937765,1.3289301513286182,1.1652931113055753,1.14158838990262,1.2824703816874834,1.2627797041822204,1.5370760879891827,1.2030639387784947,1.080565309773973,1.0249981055603417,1.2005802365855887,1.1101309444956524,1.1603562756693864,1.0897225611349746,1.0218231268897175,0.8525700090479287,0.8422922376697349,0.7664958132945581,0.8410270664849907,0.8957661526551716,1.0556648416280678,1.3760714116037764,0.962065022781845,0.9857784534935013,0.9932956661661969,1.1402504294593865,0.8674422108417528,1.2713614452371504,1.1210957463696494,1.8796794682776905,2.9560529022565207,3.9403912495870745],[1.2646311505507404,1.218031594625447,1.2198976572186018,1.0760146345809005,1.096274357133137,1.1152155877264858,1.0336167840084873,1.155245033622325,0.9908602904889987,0.9257829011668385,0.9274772418190415,1.0600816254014498,0.9847962249467747,0.8592990722569697,1.015492999518869,1.0168237583679878,0.9660540682227379,0.9672297289921802,0.9353684301231896,0.9571282621456911,0.9230044502292232,0.961187106816844,1.0315100348070794,1.038625234836426,0.9936539973851487,0.9397436311374112,0.9312872781769953,0.9219829535319322,0.9588784022200278,1.0553733909536798,1.024589061263817,1.1304319404143708,1.2139664736395863,1.1668008231681195,1.1311322836361455,1.057588402368005,1.147894685134463,1.0483587847786717,1.013033594450291,1.0900946518478984,1.14266297665289,1.0287849788874532,1.0376344142604397,1.0995196444819908,1.270038303051102,1.6638140654041895,1.5886129229831807,1.2338574572611678,1.3900342789255118,1.4381713706000485,1.2748449566716085,2.762386161133476,1.8703880511336712,1.3093711854868055,1.8098399795860933,1.221801338358835,1.3326357486157203,1.1305075995123497,1.5511949992420417,1.1362245786316088,1.0917748313794966,1.3214625429350824,1.266803776048894,1.104820212594871,1.0116733393728436,0.9834514933078383,1.0906106550102828,1.0125407633713117,1.069387777169919,0.9809811695510301,1.1423574301250583,1.4774317693820584,1.1379571405556845,1.17436042311422,1.0453172890649964,1.316059055951405,1.057489061782818,1.1125751417084606,1.0939118312250973,1.1275549868958017,1.2004814185757395,1.2537492636249845,1.6388375020967318,1.2988675920445785,1.1987551779728116,1.1806164810861306,1.0920468174520492,1.2233361429850935,1.059048626532835,1.1183588890735663,1.10841447025765,1.12526753544093,1.1152111264942717,1.1261445271383101,1.0629583133931482,1.0860462472362609,1.122391825932266,1.1564976780173624,1.2043439878899143,1.5425356277809297,1.3412350117113416,1.5068358148716472,1.338389689819108,1.4272066156942604,1.4130768189363738,1.382863254167278,1.5868374194648822,1.4107155269591412,1.4353853439366686,1.409705616389688,1.3356703559512149,1.1727026977585546,1.0801901520066148,1.015618583009402,0.9664602491044593,0.8861710572212577,0.9087805953490421,0.874835054192845,0.9220602369411834,0.9047495871956589,0.8561055386158369,0.8420232000684429,0.8583117847246631,0.8472078053015635,0.9087565273671495,0.9613088959915381,1.09153792206136,1.1354298361935435,1.1740284090180604,1.207121685023842,1.2069264642043025,1.23787161351283,1.1964417607157773,1.277094179198073,1.1726136281992645,1.142179873355973,1.2654158993217641,1.1145017833888458,1.1289659209962526,1.0107260727932428,1.1055936544364113,1.0370295419284656,0.9044205550295986,0.968768792274916,0.9994132687025672,1.0001676512543207,0.9747669500099161,1.0503752992120314,1.1145124904763488,1.1185817304730694,1.3067205970131204,1.276748736630804,1.6307447604224712,1.7404659163115082,1.5863187572102624,1.397324029269026,1.2541609559349547,1.335187215082413,1.2124711587492256,1.251826652938256,1.128916795402557,1.0944517263725468,1.0249204869139106,1.0391312240496466,1.1493482277202336,1.1476763251730195,1.1626537980762128,1.236992876990854,1.2915360191214529,1.2675731347452763,1.17702012299136,1.0944648627697149,1.1411763549149103,1.1330555346456757,1.1760435244437695,1.281356543265644,1.2302522538377854,1.4988443994614165,1.2371675725922255,1.3053199765357735,1.1763492661805026,1.2328404265920778,1.2388617044535204,1.2297517570000165,1.1774307168134923,1.2258204723394885,1.2713513562744645,1.2631931835120085,2.2110479659814857,1.2311515321928113,1.3615802338277598,1.2098542854474423,1.2298687280961362,1.2276237219598585,1.202403064154174,1.2727502793246546,1.3053999472440363,1.2664191965958482,1.2745228936599595,1.2537955370232627,1.3672296837683253,1.3996102305940472,1.3037191150056318,1.3176621352661912,1.4304804759031315,1.3732422721676913,1.2840567350532623,1.3813784873711772,1.5263011756563025,1.3738581701618953,1.3858439390561,1.4830111649595952,1.4417673196387255,1.3965829099737024,1.5012950129559823,1.451593558991683,1.6442073183623067,1.557542332072344,1.4878588374813932,1.5698475960301241,1.6090913452192361,2.327268886054067,1.9469633501810917,2.42255049425753,1.7038415930842647,1.7469864599040938,1.758729357013651,1.7506205560788415,1.6633898604327142,1.5375330841570904,1.6187562837200402,1.565262381168148,1.6416248330136947,1.4714090511374605,1.5890565094489384,1.4160270663185732,1.4082903873148356,1.438131977037416,1.3361473566924293,1.4302916367035245,1.4462307419786908,1.5325736428898706,1.6467599957037233,1.8715678859796834,1.7366766146887793,1.6424088083010837,1.7094222174315328,1.7664391810642757,1.6368613126069678,1.6010291208774723,1.751087454906266,1.7535615314751951,1.599483116928724,1.7466657361697877,1.851527719818878,1.7130861899768806,1.6591218016181237,1.7581092119063537,1.6699739268458178,1.6984114204929937,1.6532803002635286,1.679548140383252,1.6587652212681285,1.5317521950633601,1.5543988369589106,1.5637318683178776,1.5263840671709943,1.442034453799027,1.4978850144652258,1.5287512594459953,1.4394581664918815,1.4300429777607744,1.5086800840731187,1.5245563017276922,1.4328450248080156,1.4262739761296543,1.505947410913592,1.4706625306816388,1.706329059674232,1.404657949956557,1.3501506854107084,1.2849914568626513,1.3585482351331686,1.314360508092035,1.3396863256575053,1.304959123331111,1.2902661712605616,1.2227164775333335,1.2220644641494096,1.1322613557108308,1.2746601236641002,1.3733497547765081,1.558658102927259,1.7177644512690369,1.3347088929521218,1.4965891208276458,1.4077347037849803,1.42192654510353,1.3267839653843876,1.6991197127007374,1.4325078928982744,2.2951818281766534,3.3344638737497236,4.209147389446931],[1.7842357466053944,1.7754665480905603,1.755460803580825,1.7224659707909455,1.7109308850254281,1.6966647958239671,1.6111860548485035,1.6235944415618133,1.469497224159884,1.4190774323751707,1.363276507435503,1.429838817865082,1.4384959174606424,1.348586490368973,1.3877546378652328,1.39792009738272,1.4202220641802639,1.391492386268242,1.3942484341630534,1.4248727619076844,1.385956102247798,1.4372192381851865,1.4578826989897071,1.4983936132696802,1.5152054699211843,1.4561041303517654,1.4606702931755304,1.4523804247421361,1.420014541143008,1.4609768689829485,1.357221065862686,1.452729788107549,1.4744972433142833,1.4201567416843368,1.4393179186427811,1.4297322673840527,1.5179603303431142,1.503690880351214,1.507925114539618,1.5696569363776136,1.6355666710165737,1.4750039971399254,1.4771071392627284,1.5809007864876428,1.6805860452728862,2.077024190574217,2.0258658641506946,1.7092551548654875,1.8917528976586062,1.956263613871607,1.8368016796589288,3.0647731964816938,2.2831785540319562,1.8091694075297116,2.2009848484565686,1.6701031652659535,1.766070886412841,1.5900391551759765,1.8873349517253462,1.5420019821364075,1.477354365595528,1.6001622244360525,1.5316659046955674,1.4311763685318546,1.4330352726793412,1.3865232641389236,1.4464159120428943,1.3800147303974049,1.4054245552059306,1.3258308250154192,1.4600023376938087,1.6470671498131435,1.3665442380227235,1.3929602614513346,1.3360630516677463,1.4958915665849981,1.3838685309141188,1.390600316207608,1.403671606639686,1.4659823118057536,1.5313543683564141,1.6584323463418558,1.9872694188021849,1.6785822220417883,1.6133980888576864,1.5886700321172784,1.5065112639254539,1.566680839776504,1.4289924904612554,1.4056927273649744,1.3918040575573711,1.3760911826934918,1.366381655531172,1.3692701282620114,1.3468051930588931,1.3426071725119586,1.357617858441429,1.41659497340691,1.473687148654635,1.7103738540144482,1.6034159448585388,1.7488953009143218,1.6460385519481378,1.7449210181060109,1.7635416779687803,1.765681423550314,1.9019046789003478,1.8212902733442122,1.8631205626835874,1.8093996929770906,1.7884608469780667,1.6743506193114184,1.6041466668175692,1.587675027044753,1.5122331291228197,1.4755195150204694,1.4914933144006224,1.487654087954546,1.437875931784749,1.4035327238511668,1.387136857704476,1.390469176811853,1.4790741792600735,1.4754759488394609,1.5352900893764068,1.5769064658080907,1.6474958557668824,1.6907694224819936,1.7037414795192622,1.7020453955979973,1.724442380639305,1.712412501432525,1.7103992384491227,1.7368043409393215,1.6941276090503625,1.6866769794718621,1.8240323136450394,1.7200922837373676,1.7446009185196223,1.6173613097303878,1.707646031520829,1.6441446146651226,1.4967581783574522,1.5722036977963096,1.564415739972357,1.5069867559520524,1.510634117281194,1.536967675108948,1.586873352412737,1.5849708838406178,1.6839558255690266,1.6156553249028323,1.847685010888075,1.8913803000411828,1.769471032624586,1.6494511501144653,1.5748287769606546,1.6675840051503152,1.5839975287247856,1.6616132201031804,1.6123241135623074,1.5681347402340422,1.570130007992965,1.550768497937403,1.6979081754088645,1.7355427628819973,1.7370855331570714,1.8142727305797324,1.8528317484555779,1.8513763615457972,1.7437766438431876,1.6763986043864871,1.6740713307425135,1.6190648186015926,1.6205434923614175,1.674271868763938,1.617500127209432,1.8253324663900519,1.6426929604332612,1.6963138308831411,1.6368897516763685,1.6651491226461943,1.696312722862522,1.7150229075077035,1.6991031114471322,1.7169190183151626,1.785115957691412,1.7927883772071664,2.674279425229054,1.8059262997400063,1.7337473714427247,1.742842670540681,1.7840282341180451,1.7716749201340827,1.7315348490949507,1.7889683761021506,1.8280897130637082,1.7831078329950307,1.7733740203249546,1.70833673052337,1.794660931985742,1.7984592286072763,1.7539505450918274,1.7704539134499133,1.8190891556903832,1.78943144351177,1.7589121471674714,1.7987854532281897,1.872204295447781,1.8026188409814436,1.8077442343168197,1.829297292009091,1.8097832662429125,1.846703554925791,1.8751482836258833,1.8527711294485103,1.9402444618321328,1.9345727045415857,1.8654507624864864,1.885660806071667,1.8955201023567534,2.379035259616933,2.192622819317653,2.618139466318381,1.956534545516607,2.0016262896088537,2.059423503182942,2.0423470481077803,1.9808653719107205,1.8880627268411978,1.9560106043739913,1.903771237958487,1.9813093786858857,1.86514471324159,1.9647009958544215,1.8400192416202636,1.8424367926293677,1.8915827584641556,1.7844305590549612,1.8553827267324663,1.8330816272590893,1.8761336071716086,1.9378490536971498,2.134740732682883,1.9840158172362166,1.9492759615925515,1.9563602518560186,1.964940211026831,1.9178573290062602,1.9060056087575508,1.9813087192312955,1.9928971851051986,1.8983016846557796,1.976609516491544,2.035258529982043,1.9759345373980992,1.914578366632103,1.9460597545031604,1.9157611926906744,1.9290866671363602,1.9207652045949373,1.935249555124476,1.9133073883571698,1.8648429909282611,1.8829487270199503,1.8796568846929211,1.8748221182812337,1.8469587810520867,1.848747846133598,1.8941478869624477,1.8645181749549853,1.8631491204053503,1.8935817605125544,1.913614900137894,1.8550660043179956,1.871851334230322,1.924061686829692,1.8825605466253752,2.045341464311288,1.8238946730833157,1.8002370881489682,1.7648600450424328,1.7757410704186207,1.7670237551326706,1.7809360799284766,1.7752729832915346,1.7520443641712573,1.753636451765083,1.7329438031738646,1.6869569840471408,1.7724313126959843,1.8175298417746724,1.93726796803757,2.042531727550598,1.7454289608337044,1.9083662078422736,1.780892235002297,1.8168409528446476,1.821480901775459,1.971700960130563,1.801069805419758,2.820379090515329,3.9441950038904743,4.721037221452314],[1.9927076401924404,1.9954242149068901,2.02164493796279,1.870034352409864,1.864731417331516,1.8296910734054417,1.7042331913381117,1.7659567660092736,1.514829723678949,1.4289889589021973,1.3602956252576632,1.471224521656812,1.4711424954840626,1.3058264299896754,1.3721680318292804,1.4150812660261498,1.4035140285735768,1.3653730970288127,1.3353458086509973,1.4016090442011142,1.349468581815023,1.4182753567024302,1.4207940681776583,1.411625554729191,1.474176665329406,1.4017965932535097,1.455962555458026,1.43961970214042,1.4334294558472875,1.5233417972898182,1.3633025529873566,1.529742635525427,1.549008830775765,1.4823474475922958,1.515518814356984,1.4689443718402369,1.606939562230962,1.5519908796250466,1.5773158715604139,1.6707789699769546,1.6925364876008235,1.517929475366996,1.5282173756898425,1.6067644466712265,1.719939705994652,2.065497665182416,2.002429149959082,1.696535703830689,1.8670102553537538,1.9546427715122492,1.794729403659697,2.9452713732033953,2.2323161109903347,1.8342268291111543,2.367994223848502,1.773420397481358,1.7663469115720554,1.682587794716662,2.0098666260675886,1.6358364228075883,1.5599141278659137,1.711509395848273,1.6170822252624073,1.4472135425341912,1.4207211136965892,1.4133722855153206,1.4013019781960205,1.3438748412169725,1.3140687464119094,1.278914117210319,1.3332153735109133,1.5653093479158653,1.3129743679030947,1.3764553245250541,1.3013444307348496,1.4951952172806067,1.387715337292376,1.4337389399793505,1.464389845104738,1.5202090567694764,1.6286037837719975,1.7611946690612426,2.101159052881021,1.8661900350999048,1.7627864582400767,1.6981166425828598,1.5749021197714634,1.662658578593248,1.4673293048232272,1.4547653150255266,1.4196999040254068,1.3945762330467115,1.3701313945018418,1.3907243036961898,1.3602154821703871,1.342161808923473,1.353095737497335,1.4799833337164872,1.5632089289452384,1.8388111422783893,1.745990612248878,1.9521294104839444,1.8285775008544942,1.9746007618166201,1.9979348957822387,2.023763958011629,2.2105653143728765,2.1651685088329895,2.192027666002999,2.1254585713379566,2.074067315052897,1.859358829101053,1.7241604421221823,1.6674705749798453,1.5308169176736783,1.4830811685455059,1.468920079001294,1.4341085938244995,1.3512573716673444,1.333506128009746,1.2852478262484388,1.3167317158674352,1.4080951067841743,1.4467949014870485,1.5425878487521765,1.631978479610357,1.8217177506500883,1.8660048977785295,1.9497611543098285,1.9474697201156945,1.991018594825654,2.0132775738198223,1.969834254295055,1.978959161606016,1.9133671597056476,1.860404739117852,2.0227591370877085,1.8443282834827543,1.8323249758823001,1.6763632126097066,1.7353683330033773,1.6574417300727013,1.4846883949533234,1.553331537842354,1.609887707305034,1.559637216042439,1.5628212114357232,1.6084260723071622,1.7098222288738254,1.699021759824562,1.8907251125822964,1.7835063451033741,2.0353846838959004,2.04661672751261,1.9091021657561622,1.8178240289131278,1.7307010717566962,1.8601233020342476,1.7260244495568857,1.8232088687857648,1.7734368611876399,1.6790200989359128,1.6601239829124332,1.6609969458331824,1.7921229604457438,1.838925307158755,1.8786348022428592,1.960015703831356,2.007524194498284,1.9766036838918934,1.89706516724373,1.8139566163195877,1.838755467952371,1.804625454227818,1.7880670303779669,1.8688419017119626,1.751709310026146,1.9665167173155997,1.8099116979374412,1.9009207432739084,1.833215237698417,1.8840673848670157,1.9389270885669154,1.9600864095150703,1.902733600817167,1.882809003000345,1.8805231522798105,1.903399589780247,2.690316833825972,1.9284676707140471,1.9430544552847315,1.9090358980797721,1.9892252661391088,1.9941414951475893,1.9942971388897572,2.0822659598653095,2.112918871987898,2.1245005149307614,2.133069968658297,2.0701329566477447,2.220626510768496,2.20985773286636,2.1204478231811446,2.197140811197779,2.28447777701004,2.211667715287014,2.15654885799784,2.2695908486050715,2.365785578782315,2.218821749907756,2.253426120658028,2.338238085039614,2.2748277138772073,2.240325236263228,2.34015164667392,2.2834183242888035,2.504015976823704,2.4060057517351976,2.3625179694043528,2.4395534495464553,2.4758536079999285,2.7708110440857863,2.7976289861030588,3.175622344562555,2.546582195828669,2.5732162337456552,2.57990969706843,2.548912768037905,2.5354096175044503,2.3653713520377084,2.4132897747412123,2.3849645379810442,2.407581089979603,2.300814241308512,2.3495991988536633,2.2628714395280927,2.2996753444157574,2.263710919127467,2.205249539283632,2.252224712040228,2.266441094624881,2.3331649988635457,2.3902975665163892,2.5914734582057988,2.4359693131298625,2.397815141789953,2.4615638562201645,2.4281236814152583,2.326412547624296,2.3824899874451497,2.4773493501285597,2.4587800558070168,2.373703895766346,2.5041736688712004,2.553551038843731,2.480616974941043,2.4794472558025795,2.537277516053442,2.4858032212761665,2.503363573507722,2.4509218096868923,2.5063723501018234,2.4955698376720945,2.3891197624311387,2.4044498040843636,2.44119624018602,2.420305370342286,2.33812146810404,2.3764358686473033,2.4337345211828905,2.340289378315555,2.3328545144485022,2.4008907173105603,2.434410800259412,2.3343137096122266,2.3084450084883543,2.366869571645023,2.2854316251902262,2.459463713338529,2.226230774202423,2.2080391648468787,2.1355482179071217,2.1362476487458184,2.122751860380778,2.148294925567275,2.1394621272186,2.164023923592548,2.047902304788324,2.0613873388750408,1.9412261382188865,1.9986495252853098,2.06763269164967,2.230488557791376,2.2304881605755775,2.031588328299849,2.137327142366962,2.1195716462720164,2.112953197314931,2.0557286985024565,2.149589426070097,2.236452601161739,3.2603217640212043,4.35852058034009,5.14223711168271],[1.1820813269525257,1.147872449104462,1.1496750892095595,1.0531970251482583,1.0419438703768313,1.0510255567686713,0.978054337866083,1.0645548642229103,0.9002908078343463,0.8516778731934476,0.8501729476285387,0.9277180747428331,0.8862376840103218,0.830209355769244,0.9538329458120057,0.9088189750205979,0.8901505373630324,0.8959297485547116,0.916539366303233,0.9130290964096275,0.9163533526364988,0.9204614714274515,1.034674544343873,1.0029679598799628,0.9964692067764205,0.9489957700737244,0.8935573401531812,0.881030574114963,0.8884283819180577,0.9423892062550804,0.9391941890472374,0.9781288881644146,1.0622315321731244,1.0115286211435524,0.9675481671792122,0.9478035987881362,1.004601951614421,0.9524588078960879,0.9172752743242214,0.9573801142333066,1.084772076574344,0.95129448452616,0.9460727368862583,1.014326934728126,1.286215132831293,1.7058437873743273,1.6385460619612147,1.1543588346798777,1.3956920783256554,1.5162735701544725,1.2278800794474674,2.6705879489181257,1.73499299247148,1.2114322703634433,1.7940713525922305,1.0735539149481867,1.222099331360979,1.0341137515820742,1.4509533387027023,1.0996097962719469,1.0072042551914462,1.2693094089646828,1.176571611003873,1.0339499352963433,0.9284806192953317,0.9211190887228203,1.0264876917498957,0.932256306229152,1.043012621946043,0.941548419830888,1.115102683350999,1.4805638451194219,1.096171675127966,1.1375611472197213,0.9641574513736881,1.301298767781436,0.9181854203114431,0.968679930177844,0.9478637414105076,0.9798555527649953,1.0644205665817947,1.103354219157504,1.5046797289864355,1.1276259138456641,1.0615955420580252,1.047191049095354,0.9785277456063347,1.0616861391367034,0.9372304043852189,0.9827513879048324,0.9671073641394375,1.0629218193203072,1.0058344365278593,0.9959919935969612,0.949145114708296,0.9937799398934193,1.0497363696290316,1.0129659386962244,1.0510994622607728,1.3504156105903902,1.155455862988811,1.3128362608014763,1.145979964859309,1.2728732344587634,1.2694206970083985,1.2589117920373805,1.4968741554805547,1.3159445058528554,1.334105829802828,1.3160042535590335,1.251762864394859,1.08269269220751,0.9895564333939355,0.9442201299182916,0.8942968194077809,0.8519459023931865,0.883271711049722,0.8591202790579905,0.9320765090182501,0.8918543170309413,0.8461861831956425,0.8235432618673979,0.8701441781373507,0.8472483524946857,0.8837140580598536,0.9306631076814124,1.0682018399239501,1.0509566700952797,1.0936442443178007,1.1170004184025537,1.1093217087713687,1.1680279648036453,1.102121704952776,1.184325248377544,1.0713662254948553,1.049688239101099,1.1859898465586027,1.0403650872246109,1.094107425026817,0.9485997476989466,1.0632221126732524,1.0174876001349522,0.903885118590125,0.9179759759921164,0.9266054595473708,0.9191774134469463,0.8999572660584475,0.963887767016258,0.9970124091163298,1.0118686114855573,1.1724118090267575,1.1368043619376933,1.5305922621281807,1.6521680802980558,1.4319298240894482,1.2236821635679516,1.0909124031599093,1.1859078588784133,1.0694540605847056,1.1180536339528846,1.0229862390021927,0.9869555388667566,0.9466995509891134,0.9521045232579282,1.045978648593271,1.0661673098827018,1.0824127625877193,1.1823739276067387,1.2282001521786414,1.2106176176211458,1.0919105607578115,1.012303718211106,1.045549580896936,1.0467144735160834,1.052756494311932,1.125522616166807,1.0828562484442974,1.322562609831634,1.08164368669346,1.16438306092917,1.0669819673840837,1.118119070680878,1.130861993969885,1.1269121062383178,1.0815898729003348,1.1243304856153051,1.2082607830529317,1.2231326338535102,2.247117974974178,1.1958094202929748,1.2007285659861333,1.2074176800854692,1.181329784541433,1.1443243591624994,1.114323537310094,1.1801367711824284,1.226788384875828,1.2075634985237216,1.2140379165151087,1.1840675306261053,1.3083795250278443,1.3374409309181041,1.2256094705137066,1.2710581442422015,1.379665874054096,1.3186698617549102,1.245376722877547,1.3602540579684923,1.4997006921774665,1.3392326124993537,1.3610843722560635,1.4597423470509,1.41249111135221,1.376620247656836,1.4806093879360114,1.4194970113642018,1.6920197785145825,1.5724118186080467,1.472817887796137,1.5795523104800018,1.6258028425281996,2.2280934695284427,2.009079216732368,2.45082397807739,1.6867086860594587,1.7163564613031073,1.7491861676490212,1.7203755082140053,1.6938259731982643,1.4776568757663011,1.545610534746816,1.5125606326059127,1.579830724807021,1.423626481323788,1.4964201455093287,1.4119854493766602,1.43693076549983,1.4130645811140183,1.2893900202944972,1.3696281114306508,1.3756573463402937,1.4847150522569805,1.565840371534369,1.8315092203876382,1.6549174976038008,1.5518869779227467,1.638419551226283,1.6757778462411617,1.5664543114582639,1.5417963994432797,1.6974752204283532,1.702611402161548,1.5570005328944112,1.7213886254856106,1.829660534225584,1.712079710381496,1.6610749140127716,1.7562293806520977,1.663156594803925,1.6848080206699318,1.61391628764757,1.6591681046485505,1.6700610607223532,1.5076635537655434,1.5174324277870408,1.5531927259334923,1.5239013216681225,1.4278030813311997,1.480252860512377,1.5767713089970228,1.4578376082791826,1.4501679717966136,1.5293079541795536,1.613286897123391,1.4539068872134286,1.4238594049696947,1.547698185536178,1.491241763954693,1.7398778484941206,1.391912179050165,1.3304499155824205,1.2556126855979663,1.3102479097062973,1.2680654775662636,1.2950776194369644,1.2690220248259854,1.2557382072526937,1.1466548521159772,1.147154048338845,1.0720118467229574,1.165034720941454,1.2661445543925658,1.4565487393407712,1.6464485363362922,1.2112352806889164,1.3730220003652787,1.299925705019349,1.3332911364748432,1.23479123628343,1.5238528584713968,1.3320819159046553,2.2248290443105407,3.3796493372651004,4.339337442414426],[1.306349067292291,1.2813372565969676,1.2706627419781373,1.3559173698390732,1.3405333322150483,1.393334707245725,1.3889143073405168,1.368544522002366,1.3626067692040373,1.368946870714053,1.361882145967689,1.3429719925814505,1.3626778442105154,1.3893643803408098,1.42524367430742,1.3590253094846068,1.4063140979238242,1.410523384595967,1.4535610388334288,1.4381262470182472,1.4429496388960008,1.4436631288680606,1.520339173847622,1.5299360589573174,1.5323529902643873,1.4885566778731116,1.4105477738271528,1.4152770250513458,1.374846839103709,1.3537385957669084,1.363957274310139,1.3197139016046842,1.3397246965648115,1.315722660724923,1.3025240510151368,1.3712386556714298,1.3483962311759319,1.3811879184672926,1.353720167911501,1.3771539209797616,1.4878916796192605,1.3769313235299718,1.3579105710146009,1.4551108838429039,1.6022192388151943,2.0218657792665886,1.9852232354678474,1.5797441170024347,1.8195334817771454,1.9252883558614595,1.7438865734820046,3.0119088120610473,2.1707583324437714,1.6826658396281717,2.053063399987757,1.4667920858116785,1.6800251717843901,1.438850329955442,1.6652145180203282,1.4689205515299104,1.3995368223992848,1.5164802865332392,1.5001499591212166,1.4725344416877533,1.4339614006576364,1.369855925013925,1.5116156648602466,1.4252957674798736,1.5309934910598915,1.428944852286945,1.6104320727616457,1.7735981706676769,1.4610779578209836,1.4849027526032215,1.4038075286230713,1.591994483679278,1.3571461630469441,1.3438439489432297,1.326817744507512,1.3727767013600283,1.381526411668198,1.4592135711402092,1.825124310165267,1.394473622149338,1.366593822846353,1.3887355838273125,1.3632431242171958,1.3699328055617463,1.35494350597526,1.32127155421539,1.3553187432558016,1.4576399708649732,1.402504778197921,1.3559240323364392,1.3435934197939596,1.3872568648715387,1.4146090382962517,1.324824266082023,1.3192067961515654,1.4256182577912373,1.3305035161095207,1.4008833012507542,1.3317472134864259,1.392149829378572,1.4210667636798662,1.378542516218426,1.5021724829605771,1.3626445869092683,1.3931794667026065,1.3894844855995174,1.3790016084340577,1.3502692612859672,1.354436258125588,1.374576330146691,1.3885000581979996,1.38127475471531,1.4552884148050544,1.4389869976530867,1.4875948504696963,1.4647232018791778,1.452572538996773,1.4287903416863301,1.4771280312571278,1.4047388285854714,1.4015108335068596,1.3677325255600414,1.3572050954885155,1.3396067960350315,1.300419540798623,1.3172566558624068,1.270170958426378,1.2836943819558944,1.279586197638186,1.3601993844738662,1.3012416955357062,1.3293393977934733,1.4138341502442875,1.4016755125131188,1.4842286947936865,1.4012945999255986,1.5475997286490761,1.5327344011682955,1.4252621193255206,1.4464916763293232,1.4064700406111048,1.3631816700800137,1.352379290700519,1.3704753010969988,1.3476943712049887,1.3617305081220692,1.3612140866964,1.3550121984590429,1.6018675861652345,1.7215502774400144,1.4940956741239437,1.3346751417090343,1.3288122276847985,1.362729303206509,1.3498303507523037,1.3773777234341154,1.3459047123819896,1.3474921433806677,1.3574357029923487,1.3472237382211973,1.419057728022881,1.4661852394951054,1.3986359289546773,1.486391358090122,1.4779234244890653,1.5163605952291372,1.3855605733210856,1.3632382246433306,1.3525241859524222,1.3337326727838672,1.343453111050243,1.3894251698863629,1.3862594989020411,1.5985220440730192,1.3682142487967928,1.383981072966113,1.3427183885451894,1.339122730693409,1.333257049530022,1.3422964899976033,1.3569803755263958,1.4560690427859009,1.6003795861386418,1.5818086049723477,2.544637694392881,1.55275541374312,1.4369177674397227,1.4627749436869895,1.4292064811717478,1.3706870364795973,1.2877139814370402,1.304076159849741,1.344748169217694,1.2737438722738708,1.2493238608508626,1.2388066519320367,1.2506889482808017,1.3024152896048642,1.254638737149579,1.2149955386596134,1.2574421668781435,1.262062432576517,1.2186717530563598,1.2230193925408714,1.3213060119978215,1.251971926027398,1.218768601072486,1.229895819312968,1.2449971042282366,1.2482236164258045,1.2446036169382828,1.2323504730151127,1.3781092477176888,1.3325031024307548,1.234079005196167,1.2549337372755351,1.3094490393505573,2.0165292178522796,1.6103029556593467,2.0154488008515585,1.3153020405179525,1.3989117651617171,1.555820466400642,1.5202703766572674,1.4813641667059974,1.3048760354545905,1.3792305808214975,1.331486123583476,1.4345596441662265,1.3243316668459464,1.4200142532219153,1.3801109669839908,1.3615903643499534,1.437032486249212,1.259408744184653,1.3455476836810323,1.2992978962381334,1.3665858327954001,1.4650810002317534,1.7152498669093934,1.5429282294710123,1.4566056907160063,1.4401550086678645,1.546483089278792,1.531203277362756,1.4244274069378344,1.5298122667627407,1.5826389412764692,1.427179841444777,1.4902042316586621,1.610822847111207,1.5380305702827515,1.3994000891375618,1.450883622838398,1.3738595381246719,1.4005470425359505,1.3874348295501704,1.3729399480808402,1.3691058085870373,1.2776447149290233,1.3012561924025676,1.2662982549878163,1.2514210494199551,1.2577572071438152,1.2392738811712365,1.3060450960068837,1.2773651669912167,1.3174176644100333,1.3330061741871928,1.4173219184638213,1.2749883843612557,1.3036920462940103,1.3767756058725085,1.3681628076232744,1.5722452614219034,1.2954237785850062,1.2376329159010828,1.2258914449886216,1.3057264496187702,1.281462379795653,1.2853831802708657,1.2908410506738375,1.2402268272355124,1.2491749703105672,1.235700099954888,1.2733319086665476,1.3320186363906303,1.446577489359287,1.5468266597556504,1.7806172752340235,1.34823578488427,1.4851689647789954,1.3498153775285247,1.4245278116988518,1.3970994412681743,1.6104664993136346,1.364186241097455,2.053440968953847,3.343901411162796,4.289000769314053],[1.5982667653522367,1.6113055440976174,1.6181519325370435,1.6766658315355365,1.6202626690069433,1.5744935872139278,1.546969044033408,1.5131887609493966,1.430452145087854,1.4438550377839552,1.3833749767287251,1.3642060535329679,1.4263080040071823,1.4181414889719404,1.4183471849334714,1.3803552553310037,1.453284691662152,1.439313999582673,1.488941061787316,1.4991788105372341,1.5028178014575844,1.509031113065008,1.6033365537723305,1.6179316895789224,1.6427609037785587,1.5893767185772385,1.5454814838781794,1.5332511414106604,1.4346925999797522,1.4175786617521207,1.3569546332203555,1.3755220768171503,1.3713770943362913,1.3313367857742766,1.3429893212279334,1.4123574136025796,1.4276857924685475,1.4843414692795343,1.4915111387166033,1.5184273208955041,1.6433439983174367,1.504618837673563,1.4886527107262972,1.5843423533293306,1.8199222120611689,2.1701183684608876,2.117506658557804,1.704330745822857,1.8767600545376304,2.051987235787264,1.767487112158648,2.7690065124300918,2.0254511527238366,1.7178341227146745,2.306349310173491,1.6048262874264243,1.6438071410349346,1.631245698641372,1.947818059816599,1.6098475010418518,1.5212980995011693,1.6549659160226786,1.5639599934288726,1.4315139127763519,1.4723185221415687,1.4386554335702695,1.4919483994367764,1.4114762987885296,1.5101761469362391,1.4012882227623515,1.5199131100629457,1.6350005823197793,1.383582234677985,1.441764972217875,1.3627004653826489,1.576440876885493,1.347735627288538,1.3463637305835068,1.3711984260946903,1.4369492960666492,1.44029660484515,1.5234289827197818,1.8212531968779115,1.5278081875840874,1.5298904964200073,1.4875978437452788,1.4632556503973009,1.4260284255770608,1.406967739246464,1.3247080893122167,1.3451442942155956,1.4036533948193308,1.3518394035252421,1.315500423056154,1.3144624960962488,1.326871221467663,1.3834774721018144,1.326605827303967,1.368141103827134,1.5187921263716346,1.4416698085349446,1.5111221351889945,1.4554726732947867,1.5482012889825152,1.5794278172923797,1.605945232851471,1.751873155799087,1.6528221164585903,1.6855247618571245,1.6417502754867563,1.6552830167347357,1.563697553786662,1.5215051972907772,1.549909823364074,1.5169338925182994,1.535529802124614,1.589077239189218,1.5951998478637743,1.5700916915078051,1.5028001284524168,1.5099603847956915,1.49393806587154,1.6117909469424827,1.5535194937750842,1.558780284359315,1.5761511084897213,1.63940899692615,1.5909396623281244,1.5842181906328907,1.5638302392546728,1.5720086873392758,1.5785229631146014,1.5708782810953414,1.5883807894479636,1.573963110964516,1.5877104034521965,1.7051799374379102,1.664936129674899,1.748196559418565,1.6310290063143562,1.7863611390449234,1.7416183649141161,1.5994790094256057,1.6376603541210157,1.5824955894536303,1.506516478390524,1.518735756982243,1.5103896886064712,1.4987531773827611,1.4952039720845416,1.5319605876004811,1.4731101506831112,1.668401381653318,1.7445593139025368,1.5852683070983897,1.4313878760654668,1.4375451346844825,1.4960004512048724,1.4701164541683276,1.5118049615082798,1.5351472397750037,1.5071223074150613,1.5626336365123659,1.544019467744865,1.627922918822996,1.7185490865640887,1.6627823544912856,1.7710493575281252,1.7759286981037334,1.786684820625703,1.6569058807291237,1.6154682800999531,1.5787023297688676,1.5590882983649414,1.5313470819920034,1.535093620106907,1.4977391122611614,1.6439700010557174,1.5140991004452238,1.5557137302004844,1.5548849239994347,1.5384885551691287,1.5622215792994454,1.602138425519013,1.6110509904094643,1.682332764890685,1.7915175750074437,1.781752428621516,2.820735973552964,1.8310537775544924,1.7511852092427589,1.7314672270330471,1.7227760290236611,1.6658021366422588,1.5947552268579561,1.6380861157451712,1.6745289360882352,1.620567482828783,1.6081796036351126,1.5600632666712686,1.5832218955260964,1.5848555794689119,1.560383535964372,1.5791465865963215,1.578076835983481,1.5638672023040219,1.5997072921112645,1.588851063616746,1.624633087755979,1.5863752366576838,1.5882020838754833,1.564040572779108,1.559851121684121,1.6116061271370008,1.6125752829507816,1.6161235415036426,1.7416518282556295,1.7294170938300328,1.6203766518043543,1.6189539897247678,1.6675712689728674,2.081901722964773,1.9933508038586891,2.2983735104122247,1.6738472153129147,1.7249915400516433,1.8575655380355531,1.7942054205643019,1.8382615538412317,1.6095676468553053,1.641954268180814,1.6254573545713156,1.6907139469808308,1.617270070018803,1.6974076634933073,1.7245209677113276,1.7819217584568081,1.813611129316182,1.625922362559108,1.6631740808737998,1.6097438261801231,1.6328882258767572,1.6875665894176224,1.9093898646741243,1.757037389294574,1.7213632827808854,1.6946870486461194,1.7499558447924988,1.728230316012534,1.677396824071303,1.7524719511113176,1.7897064651369414,1.6764069755104383,1.7349597396429854,1.8189676750759027,1.770053113007836,1.6732557746241095,1.698588768965854,1.6459266319784804,1.6722804055478002,1.6557639078413,1.6706226150463166,1.6661673362025595,1.6002489835570874,1.610896719319248,1.6174940672973568,1.6229021352455513,1.6338350659831478,1.5996457918598634,1.6943206737643135,1.6971690828016976,1.746537995917874,1.7409470248574808,1.8586179351420677,1.7366089624516414,1.763126568084994,1.851100593150318,1.8608845570847405,1.9538827793384181,1.7523644634431115,1.6575665665398809,1.6569344330641387,1.7402323232505224,1.7215928127693798,1.7227403564232775,1.7105242145470458,1.635389135736805,1.6077413999526091,1.579403501439805,1.5766312489688887,1.5507616539826137,1.5728344689192446,1.6411165487672725,1.7980640050489527,1.56444182606822,1.594633642929741,1.549414639390552,1.6969471942573036,1.6041446868062461,1.6042698465877006,1.7111337770661563,2.7143994522592063,4.030807228690457,5.00504863442455],[1.1678252840916061,1.1441884075503017,1.1286061310571889,1.1388434611243792,1.1521122781800313,1.1633869242509125,1.1479145614012196,1.1414757149761914,1.126043913552832,1.1289480938865162,1.1251846815465116,1.1256851309003717,1.135328118877475,1.1562404001277775,1.1723323958998029,1.1331094231051422,1.1719252585160298,1.1753923875678665,1.2200620788461878,1.2130208787779513,1.2381189573243119,1.2254848564622194,1.3087123302918977,1.4156758129281837,1.3316891269792976,1.293015089521362,1.1696028892867956,1.1723835066048927,1.141720460496652,1.118693725175127,1.1725733549531532,1.1238033835936296,1.1963965242380832,1.147293607719191,1.117899562306924,1.1564097838249168,1.1300937601842,1.1393993253271162,1.1045198028785603,1.1395285402837116,1.2378941287505791,1.1833190439222745,1.1476486697389043,1.2898806587057963,1.54379650945779,1.9216062442615467,1.9217384252486565,1.463504806984831,1.6420694281196788,1.7817609490926156,1.5906007849831292,2.884305285862966,2.0286682355957844,1.4783668711452815,1.8586718939977962,1.2270636229610432,1.502876335981739,1.2242357495191665,1.444921441826921,1.2883700262285118,1.205849708391425,1.3135243716336886,1.3349135282377795,1.3020907988910138,1.1997773454482037,1.1483145694972692,1.330718436819885,1.2184222873754305,1.3835726238712818,1.2169678647273778,1.481481269578626,1.7125007218950083,1.274593652308198,1.3361363927238366,1.1711940844444728,1.5289598157091822,1.1374654099034405,1.136187646029605,1.131306111033941,1.1679850716913203,1.1784703687598348,1.2409026253141135,1.6722226096470334,1.1705191931246013,1.1662356542626497,1.1822734799779167,1.14730024087652,1.1628827336287229,1.1385467565195655,1.161094952431727,1.1435619347693946,1.310186193590558,1.2086723039604867,1.1768730067066637,1.1540620332994906,1.210887550341949,1.2374869645043622,1.132997318556274,1.1246572888056505,1.3060104931206733,1.1602229349540076,1.2591281032183397,1.1379866317266185,1.2337074509004191,1.2546209684719565,1.193220891904221,1.3249862823422078,1.1906672210266105,1.2222800604985016,1.1832612065610875,1.1606891413253793,1.1254153378702036,1.1279804398964925,1.151130208384477,1.1344604027943832,1.1449560470825764,1.2172072173960338,1.2243123746431555,1.3035366052590032,1.2420101005648545,1.2509964161565599,1.1968014534479734,1.2403122890008187,1.1689337251892717,1.154840973043239,1.1647759503015083,1.1707920666948788,1.1289223048364507,1.1245469993328265,1.1468707890596566,1.1190617171987238,1.1627127158977828,1.1179157735884746,1.2013852787632608,1.115926312418373,1.108575591342201,1.2037980288419694,1.1248011789643528,1.1680196916440493,1.137843773695264,1.2512165917634137,1.2763781754027677,1.1936395804613393,1.2537750415743243,1.1592104609009397,1.1067426249678125,1.0976253483049738,1.104707294691607,1.1150954026359994,1.130347766061389,1.1615489891773336,1.1656742727193388,1.5199511265522876,1.6953172622629953,1.4074318494855607,1.195507234169893,1.1240549917462617,1.1693822680596087,1.1351665441596104,1.199268000617681,1.1221072096407343,1.112396647832436,1.1046788326362218,1.1240722995623433,1.163307567658537,1.2329705053076707,1.1793132017349595,1.2685696039827097,1.2787763523104858,1.2735845532113392,1.1604665966196062,1.1159984624887582,1.1125254686461954,1.1165904532725852,1.1223567818545601,1.181027828318503,1.1766720730245601,1.4395262078593696,1.1603700255696736,1.1757601274522496,1.1329271779134271,1.1593435061985327,1.1583273581513291,1.1504673945042998,1.1494075357880744,1.2282230306706352,1.3608016059692092,1.3632644609326645,2.435812390711898,1.4138216826535548,1.2658339797374814,1.3259548137071133,1.2603451745260954,1.2111807941560369,1.142342810363115,1.1858288959550851,1.1791174311102428,1.1541322714510955,1.1573055461283508,1.1402321891268907,1.1714545010285573,1.2138395540005742,1.1426050273166148,1.1454017755380939,1.2128927314519151,1.1922657968224086,1.1429733410769527,1.201276732608776,1.3155690883223834,1.2035086165538178,1.204751856309564,1.2619736580908036,1.2490934479104854,1.2066619501793638,1.2852081566880975,1.2489709745597493,1.4845725660471394,1.380362691364726,1.2656416947062632,1.3431855507589787,1.3928704904232458,1.9810898709212286,1.7977324545318716,2.1696782031489663,1.4199498241496162,1.4641838601587733,1.5768101384602293,1.5320054746158989,1.5495789845904073,1.2968037278142746,1.3640504286339072,1.334463969416442,1.4224959631378304,1.2912721790899993,1.3864444770272537,1.3964298000577713,1.3655332606935355,1.3845319471335589,1.216607095685133,1.2315504168999765,1.227000813602228,1.3179658186453564,1.4106698812884682,1.6728302530767996,1.4907212235601293,1.3924941821363854,1.4331711727392915,1.4992366229898972,1.4571669957432936,1.3902823731290614,1.520209108417732,1.5544123891811337,1.4042558380670507,1.5349364370429466,1.6601196107406013,1.5630298523149873,1.4669304054132897,1.548630078479471,1.4516151756569962,1.473774607343967,1.403589081685778,1.4256164056206566,1.4504168262341304,1.3012402329725656,1.300275724685616,1.327648246207853,1.308635313093394,1.2613852123958988,1.27405094860403,1.399929675654795,1.3129393278773622,1.3497067317442595,1.3944578454130745,1.532968821142067,1.3596704924072354,1.344956414743711,1.4594951153563693,1.4602308719342703,1.6070466538465065,1.3040980167426206,1.2279826736037538,1.1869614434906517,1.2674811517761113,1.2582429450276864,1.2654254923304573,1.2622167953553716,1.1996292121184526,1.1564253117890826,1.1236847807869974,1.1146039497186322,1.2018636956177708,1.3248601124687232,1.444088648685084,1.7010827213001058,1.1710481667280965,1.365343823716454,1.2279092020388662,1.2193873535775606,1.1983025587680531,1.5183593425785966,1.2699527568685012,1.9331631576692383,3.210277211577803,4.3362812216613005],[1.2969664350609513,1.2793236690975844,1.2856814319969763,1.2756703500974198,1.3179294024579906,1.3313800601045345,1.3277619833524967,1.2956173683556265,1.2940856121022204,1.2950126975962133,1.2979407844118598,1.2921319680849985,1.2886723622244727,1.32803283966746,1.3374584646323264,1.3014190564644175,1.340927698706096,1.3540300086495656,1.4104597396210108,1.393128944637615,1.4544785596554552,1.4339249667631522,1.5058748962032513,1.604673679527213,1.563857832019347,1.5050736497510102,1.4078066053162872,1.3960631805681472,1.3288554204129988,1.2773144776651677,1.3124984383813576,1.2650396197164098,1.3094096246436822,1.2877962384464194,1.2710748155177913,1.3150941599534092,1.2731644239445117,1.3219025430529439,1.3185929862513142,1.3572890403466416,1.4186822705693882,1.349706052248482,1.3267465953870228,1.455257768345748,1.7306906661055153,2.0993063576792164,2.1372333588634818,1.6600333468574058,1.8429792148701027,1.9019703487893687,1.7496231896441097,3.095539439007243,2.156352250708251,1.696243328495601,1.8803641774644055,1.382084309822334,1.7157392726414853,1.35121627878553,1.4456227118444231,1.5481867944855785,1.3449953186477033,1.4548665797343177,1.5470220160355987,1.5473020632068895,1.4144759984418398,1.4072534895862496,1.5613906931212473,1.4365831541930525,1.5783784225679849,1.4294174620411266,1.636108695471447,1.790151761226071,1.5089759731216796,1.5880248911790185,1.3901188068317165,1.7538431886902492,1.369459566806791,1.3292432252390805,1.3022325520512894,1.3076838497096888,1.3028911248477375,1.3860666565242132,1.8122494045167574,1.328067772314293,1.3062528988185065,1.3171354022713486,1.317460790378117,1.3350550192991018,1.322159934537107,1.3172058584563395,1.3186391352937599,1.3901573899299564,1.3349537275369536,1.3113412033642753,1.2997672842818018,1.321248694426618,1.3624867532625975,1.2818236727414167,1.2536004520845212,1.4062547735631457,1.2533307637511,1.259383172922896,1.2380545385414135,1.2635285443404556,1.3203342761642478,1.2958947666311946,1.5012633239930095,1.3263892079933146,1.366779886712182,1.41377189862837,1.3106382115776112,1.3057043046639087,1.3031788321899072,1.3413118671877275,1.3414923563589753,1.3713771588418968,1.4342462968002971,1.443069977882369,1.554348520937322,1.4492162266490776,1.4698726392910266,1.4058459794255795,1.4480781945680454,1.3911360937013038,1.3620358018922143,1.3664526890802788,1.3605755394237056,1.2828719409572251,1.2884527666017782,1.3069998962636777,1.2857884466709237,1.3290161923645507,1.286214413401063,1.337542246613297,1.2793512767715538,1.2839561989655572,1.3807368620049847,1.3855117184529684,1.3967066840748796,1.3548011835578624,1.458083885906506,1.4959637571132665,1.4600819846762738,1.5133366665436683,1.3775461231395418,1.3216999597008008,1.3302781417933516,1.3331738808570308,1.2868847599845232,1.2916341897960475,1.240690218887957,1.2619355606950442,1.5604658117252306,1.681502377959135,1.540636994218306,1.2730353140746204,1.241326876690613,1.247472951833116,1.258678545120679,1.3276651636850412,1.3061989466171744,1.288709143830406,1.3295223762992365,1.3299207658430525,1.3902067639633202,1.409963115172071,1.3719490233257596,1.4490868376042885,1.4560892570437922,1.457932692741605,1.359394557715638,1.3317211147057697,1.3419350185302394,1.2895814850294645,1.2766227423981926,1.3123015308414105,1.3059154443028438,1.481797332414891,1.3032054666822794,1.304839953612753,1.2869097951693549,1.2889158438429913,1.3021356407042557,1.3084651711640831,1.3349813998791298,1.397062380895799,1.5507634131802523,1.55259030163999,2.570616918601388,1.6840242961590517,1.421735800744193,1.5143384658424006,1.4564306787166414,1.411220900144841,1.3463181626392053,1.3576803859034603,1.3017928449566367,1.333154128934306,1.3354162467301824,1.3182973219825942,1.3204092632596702,1.3428206018124071,1.2867364966739954,1.2958326926475952,1.3298822097511893,1.3264098168224672,1.274084834504079,1.3174192966102172,1.4245034604738973,1.3272213248127027,1.3170695271169157,1.360376080261584,1.3765752603777488,1.332682939581792,1.3743439956833743,1.3693820269876849,1.5401612091728143,1.4775456796034925,1.3588124814010798,1.400583246857039,1.4387337734318344,1.932163518619864,1.733714297297297,2.206561843811881,1.4548916721385958,1.5384528352797948,1.7067048737112078,1.6412724462061823,1.6492284168361118,1.3459194462401765,1.3763721810677738,1.3740504152263897,1.4113400226872181,1.3291895643012288,1.4627309862082125,1.5345620646357663,1.5334131073285033,1.5449469521718628,1.3522264905847725,1.3550698008233455,1.3602467409034065,1.4041239226117277,1.5153934365546287,1.7565427983697788,1.6150814515470278,1.562509501109927,1.576514033036352,1.6400087145693514,1.563506915124259,1.533688575740555,1.6523305677315812,1.7001175577200203,1.5364482832949278,1.628750324265035,1.7461619121475445,1.685622099128597,1.5545846679300446,1.6128686935173098,1.5171575527774477,1.5393122633611316,1.490734332636115,1.4956644046757979,1.520815642883929,1.3960015375444377,1.3515265942789505,1.4055503970456056,1.4003563597906783,1.3625343715021174,1.3521957897471988,1.4919824701390345,1.449746934129695,1.5237732486632019,1.5315811390003709,1.668853061475348,1.524314521590464,1.507367366251343,1.6471149250956847,1.6466822657870053,1.7344060640570715,1.4606901099437886,1.3974843471112242,1.359474651559306,1.4242106086150457,1.423833165209857,1.431821520642623,1.4269853292024528,1.3494272419275404,1.3357157622299578,1.3053704114502294,1.2978676120704902,1.3274961932698968,1.5373639563972343,1.6437099849417434,1.9700883357721928,1.3720619100599563,1.5563134697092431,1.4485252517328904,1.3473560012335692,1.3624546736557643,1.683330637154112,1.444279986329955,1.9689960632067152,3.0605584337535148,4.085959736991409],[1.325348431801067,1.3402899297771895,1.3353251103511077,1.4683843763416107,1.4806640254623957,1.393845409287021,1.4093374192766512,1.2789694799895654,1.3210006444913736,1.3739970545446052,1.3192318588437464,1.224106936200386,1.3165814416874162,1.4316333790729299,1.3675280507399445,1.317795069237603,1.4612535879342685,1.4672826183070777,1.6083141214856826,1.5551880276442709,1.6235563795932968,1.5948147539809834,1.7039773864425867,1.8284446632021145,1.723361314017258,1.6907775174327964,1.5388742770514607,1.5179899511232497,1.4385262374177985,1.3286443642716412,1.3501327689310971,1.2289497414816197,1.2515701904206615,1.2428446767884715,1.2566334630573825,1.357817403869021,1.2891700021166574,1.3983098413746813,1.403213439951495,1.4250620483069478,1.521069542274811,1.5399323559988374,1.4810348734562646,1.720046484539491,1.9016807044848238,2.2288312468942517,2.2840566322523976,1.8777084799448336,2.0054481325564506,2.057571285973681,1.99445181462706,3.3554703398514474,2.45714475984336,1.8721528597776955,1.8558363244478093,1.506051644088018,1.939007264076163,1.4351400747241976,1.3966836238178828,1.631512538908928,1.5458479786228434,1.6295115894589816,1.6638714125800085,1.780061816750481,1.5676238174408539,1.49822376011455,1.747618909251769,1.5664863865552487,1.7796699455190343,1.5692825495907368,1.86919654983143,2.050844100965483,1.6219892842159467,1.7121306170419501,1.458240892945293,1.7014383058765805,1.4309743738553908,1.3213467443268934,1.3240285923216468,1.3561282297631612,1.3359187843078162,1.4276643052130578,1.8794461478329667,1.3516129264824142,1.373512186578323,1.373386344230353,1.3771016737884665,1.3436022603760311,1.362269456514714,1.2978387899768062,1.3483110333918338,1.4641560067745667,1.3529443921119009,1.2760155264162147,1.2790434670511561,1.3016417713404085,1.3292924382466962,1.195430011859277,1.150970142976026,1.3209335530178832,1.1185762473165963,1.2202718426635164,1.1584309784392959,1.2098190271367115,1.288655990020486,1.2615916145799146,1.3134785367578619,1.2754122697221495,1.3228079292560149,1.223388439128585,1.22862818854157,1.3274680849437763,1.3801229384352727,1.4744950634745415,1.4642097840290038,1.5540832636368442,1.5799970947309523,1.6766751705112592,1.7982033767958074,1.6242784562955894,1.690723384309005,1.6031542053189216,1.6702608694082837,1.5941211582419654,1.5321173549800646,1.5495541437021236,1.4203152964532837,1.3925448464922887,1.35436333233424,1.3545688652789718,1.420158886947294,1.4205607358382513,1.4207586402796295,1.3797735428930287,1.4130662272480554,1.408434327810555,1.500058775715413,1.5050486464396968,1.5335107143300055,1.5245557103930445,1.6155813197986206,1.6723262630035285,1.6479086739356543,1.6459519754015117,1.5272221538453552,1.4440681805092541,1.442579838995031,1.3757457262643773,1.3219276737092058,1.306406024600682,1.2114632078892749,1.190634021811324,1.4331177128810328,1.6792887276693338,1.4669198924029745,1.1660978505090578,1.1422744335258914,1.1660079838385033,1.2100801399221,1.314416713922821,1.3602508113932295,1.371503354923733,1.4409738239684475,1.4298779343831098,1.497005749677676,1.616951073472084,1.5029753997996806,1.5801471541629188,1.5787901094467622,1.5797004139622925,1.4973410579121185,1.4796556431610994,1.4095310714408027,1.3589564690961602,1.316994013167964,1.2956906119377556,1.2991012607635095,1.488352939438331,1.3087365474240809,1.2970386834698513,1.3490323389632837,1.3377953886242477,1.3654531359613629,1.3941416620895686,1.4296686112040398,1.4546399885026575,1.54278170871522,1.6026886149037125,2.380118440144923,1.7183363363252497,1.460325664261331,1.6835459876922005,1.5786611760631402,1.5408268827817333,1.477548503874703,1.4823667292110372,1.4438633408193533,1.4122871157850807,1.4053976492827698,1.355178606669015,1.2890358667819422,1.2734283408195781,1.2862545088163444,1.2908111816075027,1.248593248793739,1.2555698200472614,1.3186804692932728,1.284295076622896,1.2987754556493498,1.276172704543351,1.2975492428704667,1.2750022122436888,1.2625278919326341,1.3104728987286247,1.3681113055394576,1.373592792245996,1.4492507302255482,1.4817741851902855,1.3561443408228833,1.3327263432886947,1.3604159447046402,1.928649976683091,1.6441875610069077,2.0637694939271913,1.3952340862719073,1.3974986365805107,1.5102509721412696,1.483837965349139,1.4886364979360431,1.3392895288524955,1.3915416943704255,1.4221157803726427,1.5839689740841045,1.4513097126246148,1.5388698788532027,1.5908710498989516,1.5059292132705855,1.560793633205178,1.414718334599908,1.3722326835045768,1.3101398484943498,1.320093329031087,1.3854263113032035,1.5790101678035824,1.4634305321423333,1.3984999870403214,1.3925750349221693,1.4655366070852478,1.421834573081242,1.355986711669086,1.451831064391263,1.495285224659558,1.3607282431995342,1.4600906142599799,1.5841516421753137,1.4866477485059846,1.4087421006887286,1.4682746574128547,1.3830704651334558,1.3905700000194323,1.348798886409822,1.3473632361660042,1.370675334222597,1.2854728029133762,1.2963361533866788,1.3198202437385347,1.3340704817551814,1.3314536904264223,1.3209460068680943,1.4886942828462748,1.442346206937396,1.473729186647334,1.505611123281578,1.5930028837670103,1.5553337668958265,1.5686030411554812,1.6987362415926919,1.7156897846330599,1.7214173118346268,1.549183974317753,1.4469723500421516,1.432842884968223,1.620322546282786,1.6216073531877104,1.6519409712791238,1.6315865858775853,1.4808504193653103,1.480813658463364,1.387508630284277,1.4213398653754492,1.4510772161026124,1.520266275564826,1.5530361095834448,1.910789306851325,1.2803654537860345,1.5010434950071683,1.261549569006198,1.1831087241403802,1.3092644876892345,1.674591673135195,1.1770169746178176,1.6023532956387547,2.6794781174470526,3.849466251070872],[1.0790091890545337,0.972547126587317,0.9223071115972199,0.8180021559157105,0.8385661170577929,0.8606131958792669,0.7967445743263116,0.8676593240518472,0.7705886004454386,0.6893476160817061,0.6966257980916285,0.7791166753185478,0.6942506745227331,0.6760791009740919,0.7770288381671723,0.7294184315511641,0.7248806655091024,0.7435755714280884,0.777699651599655,0.7691654136480519,0.8134297460107296,0.7854962339325128,0.9054396535671879,0.9443579728249275,0.8724310260996806,0.8115134775098155,0.6801196883932554,0.6865586397368364,0.6970329142996093,0.7382207081210462,0.7555211584362985,0.7736023210657771,0.9060745569969296,0.8236626208701648,0.761640303525572,0.7504837952191715,0.7754143045634738,0.7243635273306925,0.6658179007112673,0.7197636122479303,0.7804228309351512,0.7582630509342151,0.7209188140812606,0.905948050908302,1.2071963311838914,1.5824754459531671,1.615099367357127,1.1130123484048013,1.2548251400169081,1.3417875904112753,1.182524228275109,2.7620416379353303,1.782543836003183,1.1453825671038596,1.4964250533045067,0.825878560303093,1.2277667930913503,0.756810352687487,1.029109976500345,1.0560742944557033,0.8774804819390545,1.09879236344886,1.1905365772626828,1.0977828871005808,0.8326260334547503,0.8222362092176942,1.0701887598107644,0.9054872244888192,1.0538876490934115,0.9006311356995206,1.1534730235286277,1.4403897740676999,1.0304334283715888,1.1400828304464865,0.8536793660491434,1.227670904318908,0.838239364598839,0.8005618681109279,0.7778146166986175,0.7573000614871508,0.8038626810995474,0.8537657721204842,1.4091505146266154,0.8625910428955165,0.8069363561120795,0.7765009169836619,0.7442444494069784,0.8759304480669661,0.7598011140077234,0.8116101800008944,0.816217583138978,0.9182717832822632,0.8382971905517503,0.8249027435498633,0.7766000255541616,0.8522066169275827,0.8690578306728749,0.8202726590585827,0.8420455833459871,1.2652935897363977,0.9071210350843861,1.0794621064580443,0.8832677235678257,0.9845367129969009,0.963729915771989,0.9718563217117501,1.138232901709289,1.000264627019398,1.0296868886170516,0.9716293403960456,0.9304745372416566,0.826507488261168,0.8006553196569759,0.7661914000913232,0.7063027796981043,0.6631132974761341,0.7146558125300712,0.709874458733742,0.8930585487982894,0.7779333635925616,0.7920388774447488,0.7077210858394898,0.7053723910118999,0.6580185818353541,0.7140706847018754,0.7564629179963854,0.8790660000470304,0.8023423973071678,0.847311964477654,0.8652203925757391,0.9094258919494099,0.983584977307039,0.8581987007890008,0.8942371679684591,0.7958243909344981,0.7455233691561404,0.931157460968097,0.7257570075128402,0.6801228828085051,0.6480740477128346,0.7793476135568164,0.8210112777554874,0.6851286090534205,0.7676034607426816,0.6833860974996531,0.6829849612606693,0.664647734852028,0.7389723407432718,0.7642627109572577,0.7999528141813351,0.9167416415418601,0.9286737629119949,1.288737790573592,1.655942642768016,1.4566727039514802,1.0178599729051978,0.8570864250017699,0.9118061804659287,0.7986391986441093,0.8803530506510068,0.7721208600753512,0.7406322166033019,0.6726927408190025,0.6908465987016821,0.723073674340754,0.8609823658619475,0.7634345964030965,0.8698155578289498,0.8921795700301399,0.8632945328055627,0.7768058667371647,0.7134016668334305,0.7431625678237653,0.7515127135261037,0.7591736305408474,0.8497938726480688,0.8139674278098719,1.083028794119989,0.8034754095218256,0.8621222871668683,0.7768008516158483,0.8559524501999872,0.8559575491298226,0.8473270026510447,0.8042609189169906,0.8304079408420592,0.9031511838769906,0.9893404854307865,2.0341632996220587,1.0488501190095036,0.9584341664362706,1.0254893643497875,0.8510283947353056,0.8395638501738545,0.8649546732829845,0.9525623376144227,0.9393148210306521,0.9862778785387988,1.0180450911420047,1.047249570577298,1.0660458827670432,1.091748828185729,1.0145537989437698,1.0407642626614488,1.0973575135273315,1.0803343846200015,1.0465675947812325,1.1145464034181143,1.2258851839747695,1.1129549509347956,1.1460707268786723,1.2226382323948808,1.2085361674496131,1.1672668591608992,1.2871063312814437,1.2142712749000042,1.37744898383538,1.3239615511556269,1.2341245088849249,1.2885292702036155,1.3309473803939127,1.9384141724875255,1.6485590694201233,2.085805081303085,1.3809290439772581,1.3527274733455026,1.4206140098066378,1.386519175136455,1.356447152439338,1.1647965292166642,1.206470481236574,1.2443443370365062,1.37185863326621,1.2059548643113203,1.2878176099074978,1.2940816299863,1.25990625664107,1.270663154448347,1.138024945666396,1.124674160665994,1.0875572236673636,1.162938656053597,1.2663162748962862,1.5122850693488301,1.3915046429066893,1.3039361606548343,1.374032278661235,1.4276923182843535,1.3073813689668239,1.2683699853408321,1.4212503543423842,1.4652301036778084,1.2922846630831564,1.4513780881212468,1.5896886399360761,1.476336133676133,1.4114812217531327,1.4734365725395815,1.3655410539608743,1.370464166505248,1.3111072869570086,1.310764165594075,1.3169582406234601,1.2064302584110616,1.210573089559013,1.2439226375908095,1.2402207825256346,1.1570607673416975,1.1985497137881196,1.3285209586045397,1.2409309967164068,1.2542674275435086,1.3161265148998802,1.3995685344238018,1.2847557119335653,1.2642604023948978,1.3880070928808572,1.3909443960868857,1.538250954183627,1.282623916432753,1.1823496997427234,1.1210483402583657,1.2780956928698857,1.2337249620686574,1.2887727492628556,1.2279283477585696,1.1765689772460477,1.0262791547964234,0.9765471715490734,0.8966031947953655,1.0586307493348885,1.1803916418408198,1.2880570009950874,1.7178015293260045,1.002792022223929,1.226183615268401,1.1626371982152799,1.0552615587278336,1.0230371172784083,1.550020727996395,1.23894348283674,1.6214938604152476,2.59879734861331,3.701832079062717],[1.4645670477536918,1.4297719652309338,1.3993927490508684,1.3735407639630735,1.2862173119132576,1.1506777180630938,1.0236706576129297,1.0595212538868235,0.919099235191873,0.8585221437291232,0.7931436416172654,0.8656180621440338,0.8183916620103241,0.8146505554199369,0.8286101068150261,0.8077486293810171,0.8682725647527275,0.8585250780584796,0.9485447728368659,0.9122285331323423,0.9714111524939724,0.9476598659585821,1.1180427009276277,1.1067975566714683,1.0142211661668306,0.9924751162172913,0.887637523019302,0.8616227129886027,0.8427681613217742,0.859237780184207,0.8393700932714192,0.8310441052924137,0.9527489072003449,0.8665983913395926,0.8235775275580624,0.8223486726201837,0.8537558450465262,0.8619105445465055,0.8638122373348086,0.8632875681982567,0.9679201974797118,0.9672656131420949,0.9405437874446643,1.1255149996215852,1.4514152710130668,1.6986381834683912,1.7454848572904644,1.3251960592164242,1.3597677855024108,1.5055092402585992,1.2617132128559838,2.6093153049433866,1.6596148052849387,1.1656928014958885,1.6330923518330545,0.9678909491832636,1.2773288923798691,0.9624295515848329,1.1932667571081947,1.2408205536990884,1.0328237248520686,1.1897346521146184,1.228751379287517,1.253825150408529,0.9682840572192767,0.9654884119932864,1.1552284000534347,0.9764383748980806,1.157608644507033,0.9882988831998991,1.2374120825823902,1.5049811714734878,1.0903316909646743,1.197776029024999,0.9485691238358023,1.3375968504477136,0.9314423258794923,0.8814251026378883,0.8458491357638992,0.8601024440493471,0.9034314311139693,0.9114925502734987,1.3505491109885686,0.9612614127304728,1.0061552315319822,0.8986161450196419,0.8626762903726839,0.9324495903365266,0.8322793728165933,0.8794400249191201,0.8697091219000226,1.0588970714901023,0.9347164361055901,0.8738902374986116,0.827524932433213,0.8969571135174096,0.8942741129388365,0.8542126114238656,0.8967877034082227,1.2698157101642522,0.984635285428596,1.1262506410543325,0.9769487559029439,1.1483787819659346,1.1391470011362885,1.2014074217387392,1.3995554151304634,1.3163926059696192,1.358495402670096,1.2632152756530035,1.297818327877788,1.085661475043475,1.0200913786083408,1.015892227096403,0.9059084249654337,0.9449333629164807,0.9000233326109203,0.958195128249338,1.0772172095178703,0.9335004645934217,0.9345664456094734,0.8963267070283105,0.9487111583795155,0.9540574686338141,0.9920463226264195,1.0861949916655547,1.2222787509911404,1.1698283488152377,1.2209417603546582,1.1610702166085674,1.3092990226614425,1.333080147673481,1.2435436491589291,1.1949531113617466,1.1929032737341763,1.155445510152469,1.3978084747689514,1.144730593445268,1.1075870434444293,1.0223109001096677,1.158861279308222,1.2168300072734513,0.9932506835445545,0.9155801051727059,0.9207015434313625,0.890734703313509,0.9077479381754997,0.9205678705541986,0.9640825660395862,0.9830094946349774,1.1293661980634118,1.092070089883109,1.5048737817817712,1.8031008351064597,1.5088141000089108,1.1115826637242587,0.9660232224057776,1.0593268976929582,0.9407297971968264,1.040985664241394,0.9895108444365307,0.9377048505699436,0.9663184617732049,0.9363138096724135,0.9964177244134662,1.1854303383473215,1.1631083052139346,1.3000865051158095,1.3260249241168884,1.283580064036404,1.2119803372664049,1.1082650149187097,1.0724469591813308,1.0450403529108412,0.9823737998278723,0.9893224870027759,0.9300377518240546,1.0983338952221493,0.951776289371735,1.015002388035171,1.056397503138646,1.100113667909341,1.1398305976341359,1.1506333447410477,1.1015271060851608,1.0833801829327503,1.0541885353548277,1.1450885856156692,2.0185918273581653,1.1511270401684295,1.3390485746754188,1.2775126844502152,1.1977713196511253,1.2082080815658578,1.2696179496792117,1.3863229773787673,1.4094104751201706,1.420895131608642,1.4854309071770577,1.4672358187926418,1.4876511058232413,1.4171192738561982,1.3920897741373317,1.5263412401858407,1.5099467418658747,1.4553130536501813,1.5791745255107805,1.625023505053752,1.5949336601563406,1.5488085765027562,1.6721201478100636,1.7000520034752942,1.606812852965271,1.686302679716816,1.847186256278961,1.8074860189137703,1.8932624083567764,1.9520167118040814,1.8137910134944208,1.8311333960866512,1.8421314700538758,2.209303833147164,2.0758844663153044,2.420239707367404,1.7926245670763516,1.6919762226114685,1.694156713132284,1.679274697505096,1.7217299031252493,1.5900619975491634,1.5651187601788867,1.684441497709351,1.8340474065161585,1.6744232899172524,1.7011009890227569,1.782234720088595,1.7906056292942547,1.7302668876055587,1.6314100117062023,1.5036774982098648,1.4345115717761434,1.472056956762011,1.4445871453254961,1.584398088876828,1.4567274482865293,1.4852883073366197,1.5620623002304865,1.502948499455384,1.3931212850723635,1.484724731300747,1.5856694337627752,1.5922911239069288,1.5215521654069553,1.6838315732427083,1.7621111325767413,1.7098320635348305,1.7209324299249744,1.7731799518813431,1.7379645291586994,1.6989229010421087,1.6167691295432771,1.6634124418772607,1.7235098556300739,1.649204766844218,1.640868871484731,1.7388469870524499,1.763567046463224,1.6732034802030815,1.75120762346335,1.9408865849444732,1.830847272108876,1.7951612450260974,1.8662372418428448,2.035248202032979,1.945523615143724,1.9088522701363544,2.0955771574522393,2.0969193396334327,2.1622108342761117,1.9632490985624649,1.8036483496071969,1.7087096756021825,1.9179960125392947,1.8573052012062086,1.9621492766587287,1.822394083601769,1.7607122247847218,1.5232527170607153,1.4287477122886296,1.317536620292719,1.38201013924029,1.2160524128861676,1.258068125974335,1.643109443080295,1.260319653561672,1.3061470281551562,1.3406311934182296,1.432625936434598,1.3252613801081985,1.4609149139815352,1.5137441749813936,1.8382108398682333,2.8170234376123453,3.96526307668424],[0.9922313834477187,0.9195653896831603,0.8792360770432787,0.8511726291877612,0.8096958164061718,0.713329032968532,0.6390304268388854,0.7316436152014798,0.6182032059672413,0.5884121415750375,0.5831634579318504,0.6655539792284871,0.5745168556167933,0.5641271214133539,0.6768184366812431,0.6222683691484272,0.6282243253477019,0.6732494582680866,0.7609154706805717,0.7041645999841358,0.783527376593157,0.7455287940875911,0.9652441020070679,0.9361731406173998,0.823254818195475,0.7922315612021015,0.6530179439258622,0.6242279096568253,0.5993534607051909,0.6328835848192986,0.6887890184572245,0.670082756364906,0.8364756227491136,0.7615292574075004,0.6794991235422442,0.6539856775290113,0.6720355065510598,0.6333773929119598,0.6049419616078745,0.6183387988000888,0.7561894549691666,0.7599038006944702,0.7312297941648082,0.8889026486403157,1.2916138935558266,1.5838461780490372,1.6126189802718012,1.1135180218993508,1.1972301869803441,1.3343161709396336,0.9986176027844288,2.546447542694907,1.5049708526823717,0.9800865383456374,1.5263026790402614,0.7341498414513853,1.0694143686441377,0.733011746446376,1.0862348618752844,1.0597142162888542,0.8771854891344893,1.150106516278098,1.1834490932157047,1.0668837642353042,0.8032966365657362,0.8009316841968014,1.0138284944121443,0.8188630659173046,1.00949750716646,0.8586041378977056,1.0585968010532756,1.4130809485950975,1.0063571097981376,1.1508687854834276,0.8222286573378913,1.2709529405375393,0.7661468396583985,0.773814378382809,0.7184941504076917,0.6874494298287557,0.7436014900121136,0.7388438512847899,1.2382340728184171,0.7778271086761487,0.7327908126619971,0.6434743781652669,0.6538591310316483,0.8086912967737437,0.6726296731268715,0.74578746756916,0.7487782330043843,0.9082273754342497,0.8122340230403127,0.7758595269071865,0.7004931411270232,0.7838971614727585,0.8074977546983947,0.7386471349950083,0.7580880685665282,1.1568638106294862,0.8477822433749523,0.9718692737903545,0.7826138691077139,0.8972831381126141,0.8613660818901391,0.8883977941647896,1.132958942460433,0.9520118596524959,0.983532421572933,0.9381593906093274,0.9005641226906204,0.712578269816779,0.6599484267345346,0.6524019995450844,0.6165640074156983,0.6353556134067841,0.6542577405130611,0.713194651025966,0.9163013779343009,0.7298318505973292,0.7460380389999808,0.6662900078266105,0.69818552013043,0.6349923578449399,0.6258203112848302,0.6915139099825989,0.8484249263491874,0.7426032270867549,0.7833011926076113,0.7552238700510389,0.8538125247754743,0.9000465896926393,0.796096096326639,0.802679313036009,0.7603643304370878,0.7288994864397736,0.9802578470439013,0.7618300242428132,0.7956311084966653,0.693616288077209,0.9380923793628791,0.9489507125180544,0.7283246363833566,0.6870623933120652,0.6453608926098797,0.6289089647042092,0.6144287311204736,0.6425974469402941,0.6547271489929058,0.6798618299748885,0.8254705777575148,0.8269174727862221,1.3323204307103547,1.635181961018032,1.3311655233343613,0.9344215672709573,0.7662908084667894,0.8317345864739797,0.703019289215098,0.7565355737606113,0.6677488551002911,0.6570194375327432,0.6342317470208578,0.6236312959464553,0.6755251675730947,0.8757178133510165,0.7954039849192072,0.9612034406013221,0.963115127646806,0.9446056431642182,0.8231723106681201,0.7267494037007053,0.7127874704552175,0.6991450670486304,0.6894558812364676,0.7488798861008659,0.7062773731195858,0.9671036918515616,0.7070236854983847,0.7659808376651013,0.7099242619734369,0.7497710266400655,0.7619302759749291,0.7608009394988581,0.736254751482144,0.7984132093267678,0.8492937467503574,0.9150851210093145,1.9602455237824552,0.9321922589534349,1.0991786783540212,0.9528678889522295,0.8508883586949206,0.8241659223002885,0.8347691414439197,0.9410292128229003,0.9475430395528688,0.9393937557609247,0.989302022198651,0.966172480621512,0.9833827909728083,0.9746874697872066,0.9072569899276364,1.0009558422277327,1.0231899927499175,0.9768794355274103,1.0394113303031667,1.0910410471382437,1.1481906768623358,1.0566807886363574,1.1370740036894884,1.1685942028112726,1.1162891465852445,1.1588740003275404,1.2947600673771615,1.2453245696967428,1.4121712207093322,1.3947052133098254,1.2481555734242396,1.2900138820157825,1.3128227840467281,1.9350870952048957,1.6019085726687439,2.0560946905861623,1.3136705071162733,1.3125098912304853,1.3505034497404584,1.3259931408050416,1.3418011152284626,1.1195982967509344,1.1484205263196627,1.182114942184601,1.3386961311581225,1.1705363704189795,1.2785046935362832,1.3122209627035057,1.289702022064276,1.2885898890172398,1.1191914375642351,1.0268539265490857,0.9854657905423428,1.0684702660648633,1.1637115878603164,1.4320751481552143,1.2693501799966442,1.182837447303434,1.2742794159371589,1.3405024838513637,1.1896679690588488,1.1627461592930914,1.3394872236092452,1.3664388336703697,1.2053268674539996,1.3764921493971887,1.5098068324557217,1.3767803249857884,1.3277989013508313,1.41991736440607,1.3020354912661911,1.3043231845607353,1.2355347296123886,1.256367883575216,1.280792593012736,1.150862476169945,1.1569921664409006,1.2144575741101524,1.2263668640722212,1.1506612779582708,1.1995252838762056,1.370907956627651,1.2926794679501539,1.28118676152173,1.376076560364185,1.5268408261685378,1.408276655748732,1.3823877940009937,1.5908378950053668,1.5867245364591616,1.6650931703254306,1.4247246206829152,1.2550099410263247,1.1734885843428118,1.4165628358749585,1.3617637405728518,1.449126629786497,1.3485105852676946,1.2242604936879953,1.0327539444014164,0.9442859079823315,0.855211412416292,0.8932224855409647,0.9121986866484572,1.0800557156241313,1.4739126866225776,0.8741775697340528,1.0060488503319283,0.9880553967202332,1.0330511981091282,0.8678351871850049,1.3205050750711447,1.0729662508661775,1.6061345337449278,2.6654499882295295,3.8341576708134366],[0.821883665865255,0.7336595649169358,0.7210657631814953,0.6071097625583141,0.6089335796333428,0.606051937879751,0.5658128718372564,0.7033793505310454,0.5935008752736675,0.5520319457926431,0.6036196370531951,0.6848692711418292,0.5946442087554221,0.5493753372779401,0.7100845717574926,0.6557713682836684,0.6171764636420478,0.6696162207541302,0.7057815795115088,0.6754622539547246,0.7198267454747097,0.6768951611921163,0.8769069966210032,0.8992833150699469,0.7883023044141617,0.7440341798507896,0.6089755332520806,0.5761920429631907,0.5922695688068879,0.6428571198135694,0.737569042404825,0.7391801633229697,0.8778208893416399,0.8290587187879368,0.7369320153925495,0.6845818900847044,0.7172201256285023,0.6360591913063502,0.5896309443944503,0.6206945270602399,0.7457113984219745,0.6855725815400835,0.6759228873798689,0.7793916914418129,1.170007473157465,1.5554300224348523,1.5305560061351091,0.9894361965728753,1.1897076588769808,1.254628240768071,0.9182151969988577,2.6007514897752704,1.5299288308818608,0.9866286088842762,1.5253091331467559,0.7244424160954406,1.0384939216197702,0.6932378745610452,1.103076116847288,0.9395656209476937,0.807987504540758,1.1565425473648048,1.186121004953842,1.0047934924165303,0.7514849475056372,0.7854592515908557,0.9523989357662979,0.7896258733105139,0.9969215953633699,0.8118906913779033,1.0641599967290931,1.385639471655265,0.9858183384752277,1.0835658178903496,0.8406218935997516,1.2727904598454913,0.7790366502197603,0.8192708855221915,0.7536548725008413,0.7217850297731654,0.8044018565225491,0.7975438887593997,1.2542322862597792,0.8288633093442812,0.7153629599964919,0.6826644774378685,0.6829047221023707,0.8521792398787096,0.6933478113580666,0.7958447249934197,0.7956081913413509,0.9245078950205656,0.8648468560828623,0.8360765366924156,0.7643875098691039,0.8317822569004105,0.8750623336314848,0.8314286370215721,0.8382332590390531,1.218100641723497,0.9228545085805315,1.0036185137742213,0.8454023581936395,0.9117688089582132,0.8649454453845049,0.8679535374892966,1.149595594498083,0.8983113812960826,0.9173832454763551,0.9531094459169364,0.8456459608626764,0.6667243415813034,0.6020303177618752,0.5737196800150385,0.5676043546026965,0.5216374403260049,0.5738735205823179,0.578744547715255,0.8223199938415174,0.6861656146140684,0.6729404130102731,0.5789396889420122,0.5543214546338124,0.4903947258831751,0.504991021392837,0.5361356652218876,0.7416163479980941,0.6206869744900024,0.6736569667669132,0.6773525730335275,0.6928321945386227,0.7850716229868052,0.6603794827962606,0.738060129341213,0.6415653229910168,0.615983677557538,0.8108422315157409,0.6427727550636538,0.6584364555995275,0.5546573156803422,0.7817668326955197,0.7386212639461323,0.602448854729,0.6301174946408986,0.5721387097644539,0.5983395521577367,0.5609816356240905,0.6231977316193329,0.6379019592067211,0.6626837395969621,0.8074333857995661,0.8273699476210166,1.3528377071464481,1.6082817760099182,1.3483030817036994,0.9759604880553588,0.8189552726141371,0.8477224704849627,0.7501961031518205,0.7530985307123352,0.6405508919425672,0.6416790205395863,0.5643242496388406,0.5853249024826725,0.6346313502860472,0.722336654854281,0.6667695990694221,0.8132494936911465,0.8344224290451054,0.8179907210608728,0.6884287055769365,0.6131966325954948,0.6476751221253778,0.6495136659764366,0.6814795871727347,0.7681259999613849,0.7511944339918865,1.0057010138955786,0.7357565506583994,0.7939728748287382,0.6746239873734999,0.7087431722792035,0.6927344660530942,0.6751395934911447,0.6647680324741859,0.8030261277841411,0.8775599157562407,0.8680272414347331,2.000891466084518,0.8506316812845225,1.0652144964182624,0.8243321631441507,0.7408661153695066,0.7095376606031406,0.6864872888150545,0.7710788823992324,0.7765184479275318,0.7693554293987406,0.80916403146188,0.8227769777293685,0.8416482199682664,0.8815335823314929,0.7899484428687724,0.8424073270013301,0.8922788329248621,0.8525368653874709,0.8707584531252215,0.9293113683603147,1.01210802640924,0.9109517799825839,0.9677241203774964,1.009288382297532,0.9792591596886175,0.999862950933792,1.118198785643741,1.0711262296546353,1.2512160441224796,1.1893953601767457,1.054711133534445,1.1151118527856132,1.1498507605886112,1.9524371932511841,1.4932191577603013,2.0070272571572056,1.17070339787147,1.2072235260216087,1.259028634293082,1.2523380196104839,1.2071256984509022,0.9813431348855439,1.048727968374396,1.0195977777970318,1.146934974585188,0.9918554413516314,1.1431898923118475,1.118080747194174,1.1346860331852895,1.14057935158954,0.9283703117772516,0.8943193783495875,0.8803423654149464,0.9938399986978941,1.1167388592834435,1.3658634406297587,1.2266293829229118,1.1181503031330715,1.1898281886269146,1.280572473665786,1.1279385499149002,1.067754379540386,1.2502915019174166,1.2723493551598146,1.09705901348074,1.2563246114882878,1.3977190785262457,1.258101568312331,1.187774714002826,1.2847722419569234,1.16449392014228,1.181446998107103,1.1212575992913336,1.1416251978474838,1.157056758765819,1.0051806344683825,1.0147483760007634,1.0505212766468868,1.0523497749273818,0.9754020517061687,1.018549655293392,1.1634033110369932,1.098152192471897,1.0932789223328714,1.16972706511787,1.3387305341645468,1.1842354652360165,1.17827924932656,1.322572465814317,1.3472690345262297,1.5072729540085401,1.2325411614238573,1.0554085320040674,0.9922697077977867,1.2387428197702623,1.1583735787374723,1.2246760711890519,1.1497227399042742,1.0191560816359726,0.828780216821854,0.7725878239444309,0.7006667587786938,0.7401402175855742,0.8456552637010666,1.0716613522538518,1.4300667368638726,0.8374483663995957,0.9554086142674539,0.937540741333726,1.0043572154523872,0.7882189896669133,1.2912203769124204,1.0230278521220262,1.5715624335632041,2.6074051201243456,3.740683192617087],[0.7801612808867578,0.6755559752095684,0.6511250052360129,0.608036284685286,0.6013487054839853,0.5251158116987898,0.4804025880397908,0.5896143348105761,0.4895286607155286,0.47001827290195275,0.5089224438636919,0.5864869696699091,0.49760512658569483,0.48924894641566463,0.6359986692773689,0.573292000658497,0.5657752691117334,0.6111241432355783,0.672496044706596,0.630623252415691,0.6953392722428131,0.6583200150177722,0.870840328576899,0.8845185476344896,0.7404954651688844,0.708955998417443,0.5588785438193706,0.5184263506973885,0.5402672925430532,0.5894056270166466,0.6539336255805662,0.6225881133153981,0.804946656712682,0.7294405169152717,0.6366009037944352,0.6011898867892543,0.6226676881780081,0.5571388528632744,0.5208057211728938,0.5236269135294007,0.6800966895984267,0.64460620954465,0.6294506700131574,0.759789404728839,1.1718474157067689,1.5036197953875603,1.4913169430744018,0.9872739802705873,1.1256482072869716,1.2250477612396866,0.8743092308703025,2.55108908026547,1.441679210524387,0.8905554790949545,1.4369270320599186,0.6437555757386388,0.9887716213374139,0.616423180056406,1.0191748027167657,0.9297654281345454,0.775921121227353,1.080917904957529,1.1187132480764543,0.9929708437449993,0.7276301358966702,0.7277134216932108,0.9301209919852436,0.7501231865028827,0.951218880513448,0.7679163359630653,1.0122500585285983,1.3807434587602279,0.9469017546629586,1.0955830546089844,0.7768223386713409,1.2438924689033617,0.7202919191702402,0.7406694266939172,0.666495998533046,0.631056616578454,0.6998532813243393,0.6983426558779117,1.1797837516739813,0.707123085452059,0.6514772581981799,0.596159587852125,0.5919813385867115,0.7468081504281309,0.604440972108579,0.7213156983841235,0.7045396494797809,0.867873993509234,0.7760801659801982,0.7379974371968502,0.6647123082756233,0.7464394947016051,0.7753446562251681,0.7119973035315132,0.7298535412627664,1.1309852385491916,0.8022798749927293,0.8754170531238358,0.7055555025437753,0.8037096578575375,0.7733137448868369,0.7663442441569304,1.0732461506457962,0.780086148718103,0.7846013091612387,0.8514523586706972,0.7622754628904737,0.5687782857984388,0.5068178524182458,0.49682381151480837,0.4866159763945535,0.46890016004706536,0.5071346541471858,0.5474035112745381,0.8248850918119018,0.6474221642199641,0.6387286660285634,0.5345473250544341,0.5288720567686986,0.46146756826008994,0.4623875553469872,0.5138917513866885,0.6863152768819815,0.5678035775099484,0.6061373606579731,0.5787229606050562,0.6210094848765295,0.7002153329584443,0.5824996230696226,0.6463567624234643,0.5850954624312082,0.5648307511075926,0.7838341200654398,0.5721325000166849,0.6019005007936368,0.5104302919207431,0.7544588588995848,0.7758636918539414,0.5928289709970287,0.5510847688938151,0.5137365593982512,0.5244812107234085,0.48534228606260105,0.5428747947761641,0.5329865873602555,0.5571108814921326,0.7212865320748288,0.7679621499173949,1.3334956761347485,1.7191145553748695,1.319932280913881,0.8873260279964933,0.6925166966631521,0.7340335846208312,0.6483881551681258,0.637739882816209,0.5396825630351232,0.5448228503817083,0.5057566277517747,0.5105742465853771,0.5526130749679424,0.6915942126102651,0.6257266295354539,0.789858115986628,0.7735339108884413,0.7730066213061009,0.6483282706530891,0.5529824487503991,0.585012992248355,0.5862794743442508,0.583562065593922,0.6536748413242726,0.6374249425328902,0.8947941502402554,0.6216671400616681,0.6740708228300788,0.6031577336008568,0.6124545459195252,0.6080369647755292,0.5873538446860602,0.5814509103876008,0.7252161932394019,0.7932635368787145,0.8148025978698901,1.9245836232811981,0.7884062318298647,1.0386318592636627,0.8599145660503981,0.71837292052554,0.6515168753320847,0.6158333798478484,0.6734299274108061,0.7117458184565353,0.6749236533053804,0.7209523567166647,0.7525670019735691,0.7253435432327727,0.7522629775791988,0.6815116114068442,0.7461084827768353,0.7672247792350179,0.7421192250954385,0.8268484704188479,0.8371117336180408,0.8908041615984352,0.8260515926180324,0.8991783512405892,0.9312497490814344,0.8933255804543431,0.9461358814483642,1.0492546752549727,1.0103694715359468,1.1616190363443313,1.1377306452795921,0.9751678612027191,1.0124513220169484,1.054149021939958,1.9888973533369543,1.3719553908217448,1.8630386410557902,1.0395276093576917,1.0070858228379025,1.0669749545188683,1.0556548028639077,1.0254090027914127,0.8436544398453926,0.9329680011388155,0.9207415887065649,1.1118996771647354,0.9251414004341629,1.04573828568248,1.0274493136450018,1.034695554598454,1.0528594128558881,0.8323643658065334,0.7775198854177608,0.7583150905184949,0.8668934506530064,0.9637523172008413,1.1934363704390927,1.0742511656157148,0.9570949993388917,1.0048946735899478,1.1072304604127434,0.9620217627795511,0.8992799511514731,1.0894313482278453,1.126956968442343,0.9493582806395512,1.1013782892945692,1.2589044235479985,1.1452585842479293,1.0657690436238632,1.1507709672315722,1.0425639718669573,1.0389605268907762,0.9670580797609556,0.973764827648823,1.0041232464375702,0.879074564505353,0.8945937719333198,0.9149813738844244,0.9294689508148163,0.8577349511771711,0.8928126991035314,1.068743900225806,1.0010154394377344,0.9970836664889069,1.0499383858047824,1.22477332704668,1.101358207129993,1.1058262327333,1.2600669671864426,1.2985163323693076,1.4673451511140216,1.1753578328045107,1.0044810337162842,0.9443094261960598,1.2004859734866171,1.1221720339015973,1.2054698993591129,1.1241508673066147,0.9849307058928374,0.793865884701303,0.6990108183380898,0.6596023138928045,0.7157620676763006,0.669427531592222,0.8725881352195292,1.4104551965081875,0.7410836852530334,0.8402329615802704,0.8267381790468554,0.9213913493225383,0.6770216325678029,1.300052231220977,0.9125083706833347,1.2551628326843,2.30752668896311,3.4517430385597216],[0.838330150030636,0.7564023256663421,0.750855598735702,0.7237632270355556,0.7086668308133978,0.6135095570448003,0.5786377428072975,0.6751526590569727,0.5890582536314712,0.58564997505397,0.6198564829166621,0.6777781314607699,0.611792917419074,0.6314145358024955,0.757607139110038,0.6990680615397882,0.6887803348977096,0.7411964576693512,0.8028782336834243,0.7587105842694074,0.8258142965791775,0.7960879593066335,1.0046356358033557,1.0110179589554287,0.8624274915449859,0.8388260569411717,0.6971541694541583,0.6574913090318084,0.6822536056889,0.7209528084556417,0.7865732767260897,0.735332405285647,0.9185383190492817,0.858758264912223,0.766811209093334,0.7350976119034186,0.7332924083698775,0.6783774816807472,0.6463488280343598,0.6423934817371917,0.7832525666610575,0.7484773956238193,0.74744300319237,0.8514498346714476,1.2513976914262674,1.5440833842875095,1.5501819094337645,1.0649228996115745,1.1707755881386517,1.2746925381861312,0.9195819775543458,2.5843232573987382,1.466758195027494,0.9627014090631083,1.440934750696133,0.7435538316739839,1.0585829384711782,0.7216678460722529,1.0457312334600042,1.0060939131700046,0.8727329034884201,1.1586443865947094,1.205274375828137,1.1449552632067008,0.8794673254055021,0.8417117155903908,1.0307064196474969,0.8677629714343964,1.0303085945202097,0.8831169673983017,1.0737747906742936,1.4694785409066444,1.0546349962638757,1.2184772972191311,0.9149161182178818,1.371024045009821,0.8576393592179674,0.8769635812807406,0.7976901610433254,0.7676324962394037,0.8206380540561131,0.7867443246376098,1.2267728874366082,0.8350823120526621,0.7312093901193444,0.69405466376463,0.7110348695992644,0.8618106343229401,0.7340457107470946,0.8487811356594078,0.8343035835380596,1.0012787064082496,0.9089894275349883,0.8749847720678454,0.7974284348228012,0.8721072680600479,0.8966957623553777,0.8265223533301228,0.8197816309841802,1.1932660178547714,0.883400411405963,0.9104255687746106,0.7808568939647631,0.8490837852720138,0.8283604576452097,0.829065187800133,1.1489991324611049,0.8640376875146589,0.8673659808916584,0.9496982592754218,0.8469237901451345,0.6517102851281926,0.5990645085506985,0.6162107260729114,0.6052622621535498,0.6123693812087107,0.6415205953379198,0.6954236268824795,0.9580037269804028,0.7572519629196374,0.7640838630640799,0.6759551560224605,0.6847836564099467,0.61574749876382,0.5981627214371538,0.6394445686741396,0.7806482272704501,0.675719155780969,0.7024790161390749,0.6670865784317626,0.7197699374209545,0.7856767236242124,0.6781434221968855,0.7272483507262195,0.6801965928838377,0.6701138573244545,0.885205132856911,0.7042114585785394,0.7271508581337994,0.647197526707598,0.8681569018218452,0.9252491159164151,0.7387032217051993,0.671901666997454,0.6428350064855081,0.6421691448430666,0.6117054072015221,0.6461528598228099,0.6346467590803502,0.6403111943189974,0.7667828441846031,0.8079105723753225,1.3882253109747027,1.728122464587568,1.3627361902309223,0.955365048970545,0.7738494082404059,0.7938122253823483,0.7322391618242117,0.7105434736136107,0.6413768140837455,0.6439629841338776,0.6378351270861901,0.6306982571792613,0.6582162084529357,0.8009435399327216,0.7419173829390403,0.8979497487089292,0.8729103411667682,0.8754606161991106,0.7649250789575431,0.6745445759467468,0.6972572925683129,0.6923358103751309,0.6742424627371142,0.7383404885679198,0.7243904203965467,0.9707729300471938,0.7171157045797106,0.7648451986147446,0.7077341609767728,0.6906225190798873,0.6900983806943306,0.673245383877399,0.6795730304345643,0.8237944993759998,0.8628411765775276,0.8676052873480274,1.9353734327993628,0.8410096410798843,1.1611371735376066,0.8961202830232792,0.8074961484659947,0.7436110083440438,0.7118044351398068,0.7865091450968161,0.8270106192224085,0.7754526251690115,0.8194366550962724,0.8349328400875426,0.7957968638252968,0.8071543688193765,0.7495944214152058,0.8297895976988895,0.8358570124955652,0.8043836856811086,0.9111408979171358,0.9162588624198038,0.949393795947568,0.8878546076937414,0.9710198987458836,0.9901639185934356,0.9463182111297348,1.0160768635960666,1.126861896518141,1.094260147180415,1.2431965239481386,1.2349586987845205,1.063027731252516,1.0991246525233336,1.130913098177853,1.9364230475950877,1.4547523125646065,1.9398714452239387,1.1133875402100646,1.0925698079074533,1.1425826332780928,1.135476546314155,1.1056596785008783,0.9166537501405527,0.98551477429107,0.9744649056406215,1.1531199911116563,0.9827987179982806,1.1069438998286871,1.1032622780005852,1.1210214741160234,1.1218680705976787,0.9152358995862897,0.8458032825771982,0.8308644794764942,0.9211105138783648,1.020582828321987,1.2390053542849515,1.1284611538733547,1.0200505980515273,1.0737753871765185,1.169585975781532,1.0121524741084444,0.9602999491081466,1.1488467664016435,1.1729196966208715,1.0071773785875358,1.168919477414592,1.3198112731765432,1.1968717891730765,1.1308567889969077,1.2208309189073097,1.105568000254069,1.1055699458272816,1.0327592218033794,1.0522535313069776,1.0843570564305116,0.9583053140740537,0.960429874224616,1.0055071152163528,1.0235123494409695,0.9540522688370591,0.9970735657569696,1.1605906992981732,1.1080317977641156,1.1101410161732943,1.1668733115048548,1.3379504779828315,1.2187687669489744,1.2294902104087142,1.4007949014074106,1.4482341744574838,1.5556945911294604,1.3110207134436793,1.1139569933539453,1.0560038251145112,1.3445631281285475,1.2630980003941792,1.3480148801989766,1.2551094349464373,1.0940037843896335,0.9047236667976877,0.8048333224605712,0.757379262945116,0.7504898537928042,0.7266660813805395,0.9452661089429855,1.3995860928144228,0.8339358913127937,0.8873566319709566,0.9118028729921724,1.0195367162995779,0.7602505659227943,1.2629170802960947,0.9741458684490873,1.343514461942664,2.3379797394347333,3.5234143368990107],[1.1364793636786488,1.0828317923987794,1.0683045150805963,0.8988131030598595,0.909250344831639,0.9123024217352618,0.8620024960555469,0.9639765846401316,0.8410460584036724,0.7499215896826277,0.7644178693960387,0.8816237942870617,0.7824123341293795,0.6825456014088469,0.7969821985097444,0.7805938482534215,0.7439246524114048,0.755518917311193,0.7614931368887247,0.7614021956540468,0.7888619945120957,0.7602362526537169,0.9286378020125303,0.9677441001138464,0.8570348895888672,0.8283231547912316,0.7513325701348091,0.727572570333791,0.7465547650459495,0.8172438127189424,0.8204628348064464,0.859558229983427,0.9795853236668978,0.9279506098778623,0.8774699793466927,0.8160537801440017,0.8806112130882934,0.7877156170258368,0.7592412076622668,0.8042079889542186,0.8970077023354465,0.8091998601519383,0.7899857065827397,0.9067530707340465,1.2597824878157797,1.6150073240537777,1.584746076233865,1.1073444342283034,1.321327082477402,1.354982553114586,1.0078250091831358,2.697503215125474,1.6237770373968992,1.131907371482275,1.5253890961059804,0.8765637715805285,1.1535797249036421,0.8383277352257222,1.122830257403383,1.0141031375205236,0.8874416016919237,1.2198017938309025,1.2505109626438582,1.0809686213979344,0.8235141959060572,0.8674488445130634,1.01946485896819,0.8423822599245224,1.0001268683041424,0.830193133094917,1.0377191974359565,1.4095989139964822,1.0056673047209868,1.1318481167633918,0.8766095039754371,1.3542506952431677,0.8507482758840024,0.8977897689279969,0.86429244430227,0.8603302616007664,0.9723005096136842,0.963455306335471,1.3957389765903065,1.0428468932241632,0.9267222544476618,0.8873964973542391,0.8413573244815726,0.9927283969814004,0.8141836455843287,0.9152511079062923,0.8688425570829548,0.9626470038448033,0.9043700929250915,0.9016821481809167,0.8480300730465078,0.8906680137370567,0.9153680162893364,0.9506309360323786,0.9822062057804786,1.3243844060047514,1.068343540950542,1.2030118178241167,1.036967190908453,1.143600199692512,1.1273692767311911,1.1118624390737282,1.4413958163697154,1.1900242163089771,1.2003259564002593,1.2381387725126591,1.1354690209535985,0.9553360352384647,0.8789352493392896,0.8226880749736684,0.7623650572933769,0.7190941112031325,0.7070622964033926,0.6887651206539814,0.880406573228967,0.7727216977167564,0.7515872085141665,0.7039003348370315,0.6875685697341906,0.699125364358992,0.7451985201605644,0.7987638202564722,1.0258654469246211,0.9108215111489815,0.9898653496681652,0.994540941796342,1.0081377082086276,1.1095121558423404,0.9858928381564136,1.0521059298780453,0.9362647439120496,0.9008524632241147,1.0871479689485863,0.8950404420840997,0.8553875309750701,0.7636244203355476,0.8803537236122317,0.8510285255449439,0.7401318258938058,0.7823655278909377,0.7623331770901274,0.7791172492485257,0.7658575449422194,0.8306457996114383,0.870880906081949,0.895124190243013,1.0401006166705193,1.044477033650546,1.5901068592478438,1.777205747762047,1.4785234905586964,1.1842098300762312,1.0021309314579903,1.0681122751187015,0.9477731248897658,0.9978653544143657,0.8997944817810184,0.835099580895161,0.7867530642820263,0.80864981376192,0.8610010058934533,0.900442448060229,0.89170979301218,1.0095195513499104,1.0517084269872097,1.0207823492562031,0.9414367656215047,0.8512531053505645,0.9033826707779,0.9064124026959137,0.9193915751530639,1.014480898534706,0.9686677523002106,1.1912825704063714,0.9632152070704799,1.0444755952005536,0.932057731203482,0.9879674636577135,0.9854070140374309,0.9656982937839209,0.9286404514811448,0.9875717211923369,1.0207498373280115,1.0051201495256656,2.099721024666847,1.02030226723328,1.2555113405344551,1.0548912175419893,1.0004300723030477,0.9933881375509568,0.9962087488192359,1.0665431765378668,1.0993128769689544,1.0833818926794985,1.1221854483773266,1.1573383212714456,1.2123349680393476,1.2392156022872522,1.1441420402766103,1.1984718525157503,1.2803253110092305,1.2323902058387362,1.208672215239841,1.2948472935166468,1.4042856205106213,1.2824904209695747,1.318834273174727,1.4059573375162195,1.3886618377651239,1.3447997447290676,1.4456110387764352,1.3882662605999363,1.5808325973029584,1.454831029976861,1.3857066558828177,1.4752808583858976,1.5050313320531463,2.1868623715554794,1.8526373415953021,2.3350869370163108,1.557315933225814,1.5946358363589341,1.598637311760619,1.6100874664438,1.5593723341377599,1.3418940902050198,1.3984750500431347,1.343831227095659,1.3876776044947052,1.2858921516363797,1.4308999396313211,1.3795373993258546,1.4058316103053654,1.3762367305034953,1.2172597301942796,1.2169109032871417,1.263453399554299,1.391100712186667,1.4826393622740341,1.6745403309514957,1.564960740708773,1.48498504195286,1.555087428838018,1.6438294596027279,1.4707289423982175,1.4490010555704835,1.6000850359627332,1.5879539371220983,1.4737472605251423,1.6343753865189774,1.763181484429092,1.6195575033884553,1.5778369016414378,1.6891199900843283,1.5720512254352146,1.589644143206875,1.517152513701176,1.5540943281166546,1.5645519531513001,1.4090232581159634,1.3736672234473053,1.4182311919923694,1.4003093599847216,1.323581122906029,1.3854698773767966,1.4208661691009903,1.3746153721307648,1.3635813099983223,1.3885253050487791,1.518182669029612,1.3927478739042256,1.3788245599283726,1.5176539182777844,1.491202104067315,1.639128822257386,1.4224872755140423,1.329274250893528,1.2715217011926898,1.421214744052125,1.3508501882855073,1.3961652893829692,1.356524811597492,1.295010950174961,1.1133651500910364,1.0847817103440163,1.0068186053358124,1.0477698097864183,1.1750755149727121,1.394604310939559,1.6744988461083183,1.1751944408703139,1.2887754444137467,1.2851613134534727,1.2788657173999427,1.0969687548224565,1.5772928227514467,1.3228410254078227,1.7721632149122981,2.6628294233630947,3.771645880998839],[0.7573356068542552,0.6564941111884374,0.6865504105534728,0.5645949511476545,0.5644875907095842,0.6044731478578379,0.5871063737247983,0.7078581891037359,0.6196725307997694,0.5925759091511185,0.6570630359876314,0.7446345372429842,0.6683258477190556,0.6171804666290437,0.7923497422663158,0.7490550010098758,0.6943403735450586,0.746750213311952,0.7722139598409864,0.7416423929624855,0.7850212446148842,0.7461662219231578,0.9137532979195656,1.0045515903847049,0.8386027216766495,0.8096221557814802,0.7052038382586673,0.6719549058139189,0.6979228626663583,0.7507723069640286,0.8112097363307182,0.8267860547817395,0.9550364328968056,0.9104611486179575,0.8359924348632094,0.7895769357482731,0.8075244386815467,0.7200425692648516,0.6704647475314655,0.7060567551440825,0.8136591825877871,0.7261697296240105,0.7306470925541323,0.81470690159992,1.128593421312795,1.5033320957964649,1.4603439096654638,0.9925567541007655,1.2141494642721664,1.2565865647180552,0.9395883137745972,2.755459425259642,1.6689171909346012,1.1111443942397259,1.4406610715009092,0.8071014680666301,1.1599691165812007,0.7665236249630537,1.0451337253566881,0.9539173246651169,0.8444838250541051,1.20048988957573,1.2413983540362916,1.0761375032975222,0.8323262686117235,0.858713867112898,1.0104526353350993,0.8637557595511766,1.0305917077849893,0.8706122205012459,1.093497116391739,1.4485007486211725,1.0444120995751855,1.1463221897515636,0.9167666760055879,1.3578647126035894,0.8837105243478119,0.9055196102295958,0.8510971352123446,0.831723544396747,0.9124426836115768,0.9178471729752524,1.3587533538337313,0.9413677309061868,0.8029425133788459,0.8024218824657673,0.789345976236739,0.9340906437692156,0.7950090367576965,0.8891796490109204,0.8793940631309941,0.9659586518404384,0.9268652128178287,0.9104447599393255,0.8418184353599968,0.9024321682463132,0.9213934942513591,0.9051292767660136,0.9019678804028785,1.2498559149701243,0.9699376614899378,0.9964780693116781,0.8895812931764271,0.9317541061791468,0.9115701595816303,0.8643749714751189,1.2023051413741708,0.8848096687550103,0.880692098983058,0.9992277989673267,0.838062560216892,0.6909581214589222,0.6248742106205527,0.6122179299742717,0.6227162766131042,0.5920156784627442,0.6355994991530296,0.6185087918115812,0.8459445981668382,0.7256410948143676,0.7157945531629125,0.625646966977631,0.5840704287533822,0.5648919648321452,0.5540053398015513,0.5648479335932538,0.709630484908942,0.6341777001594195,0.6776954077688362,0.7009781025256325,0.6584736273987544,0.7612697775855612,0.6566369691708474,0.7879100910498055,0.67579413940172,0.65722934475341,0.8071241985146821,0.6728110240638141,0.7053402274312459,0.608093027726304,0.783438257480377,0.7666040356067412,0.670332953143606,0.6803102844767572,0.6330498581091469,0.6706735348962086,0.6204416728116393,0.6704176335330441,0.6963716949097213,0.708201860924937,0.7957360387722907,0.8363605599098586,1.4332871874045896,1.696121691853371,1.3188131537811045,1.0075650715557205,0.856625650771946,0.8645031918794117,0.8234459123742265,0.8268278482895111,0.6989428804971587,0.701484033398268,0.6222539457573865,0.6786292481937911,0.7049000031647032,0.7418460308909494,0.7054730366908759,0.8078799753802642,0.8180843336791008,0.8233740978441716,0.7121110146744578,0.652515415135404,0.7220757189380334,0.7072736996505016,0.7510193658398683,0.8430695329168986,0.8460012815702541,1.0912688730763505,0.8357081340749127,0.8830176783090538,0.73779026276948,0.757292346587711,0.7371422276138235,0.701981548074163,0.6955871373929894,0.8524856409338645,0.9353798278933907,0.9066194508482156,2.0138942787470326,0.8544866283287091,1.1759790663865166,0.8483254663932103,0.7960552693115165,0.7464883974032626,0.6747585762068474,0.7275124292898485,0.7701990638460158,0.7009597323576939,0.7341428257663491,0.7686357916467578,0.7826495922344872,0.8407904272285371,0.734773326884637,0.7713605474136074,0.8446887978520949,0.8097466066674531,0.8081649380482439,0.8616061905091439,0.9627286387365592,0.8509584785983471,0.9034281605119907,0.964626636544241,0.9426659790648554,0.9400416831481417,1.0556217152590008,1.0024886394528802,1.196638450494275,1.1083189395306932,0.9673375636022054,1.0391739131425695,1.0765978594559478,2.0782374031111366,1.4549434218019288,2.014638449710138,1.155364869606412,1.1621903150034343,1.1875329552751315,1.2133469357876827,1.1245311854790734,0.9278560529280024,1.0511653728652064,0.9662948044295883,1.07376126682926,0.905395789519926,1.0991348045688594,1.000290712362849,1.060383514207359,1.051896900148355,0.8302941769115922,0.8103697076823058,0.8752817573198514,1.001843610056685,1.105129044778754,1.3379361768653724,1.2186086120133521,1.0859808380464366,1.1693242030561997,1.2762467759230767,1.0995588246222672,1.0327590843485481,1.214591976863321,1.2220417825651146,1.0458637880955595,1.2208974282730574,1.386897777478528,1.2269691859064733,1.1608252405311457,1.2742924370051394,1.1463515944231097,1.1639221941860682,1.0973557983767188,1.1153136308632416,1.1306114519791781,0.9749629489719778,0.9637694649294967,0.9858310825127043,0.9700747186136427,0.8808033951248998,0.9479279796199397,1.050132722600157,0.9904502358175012,0.9905300990875514,1.006631996725993,1.2079120130011054,1.042854845432887,1.0494347132802446,1.1899657887717738,1.2243397141334427,1.434296890247722,1.1320697354652938,0.9569813583939811,0.9142999338015566,1.159204548120188,1.0631300573881772,1.1242460780898136,1.0471918059591674,0.9222881294181158,0.7462274039324137,0.7144021122625881,0.6720095659257355,0.702109255508305,0.8385795481048971,1.1400987460450822,1.4902482419654315,0.8775472644506239,1.0289862800991194,1.0049369364849312,1.0118325543124513,0.789343853165965,1.4227732325990663,1.0320738708137531,1.3784306590069677,2.3385615193885356,3.4750782772629347],[0.7000439687043086,0.6015076359544117,0.6287353265034584,0.5212727001559893,0.5208879329013174,0.5524079849737716,0.5314109232422375,0.637978592514813,0.5546600011195054,0.5463330633052762,0.6194762437070375,0.7175701230820155,0.6286711915083114,0.6060381629734486,0.8014626243767912,0.755268341199777,0.7094530566121878,0.7799763695767598,0.8215130941148328,0.7788863996995149,0.8296595895924265,0.7942059156782498,0.9724513852044722,1.0661765348521757,0.8617775372791943,0.8406800668367683,0.7159374210235825,0.686058149628066,0.720184598349174,0.7543004111988908,0.8494920617779625,0.832047821025086,1.0077413747806125,0.9571922476090806,0.8755630864615933,0.8145893684974108,0.8313802352634478,0.7412814427433574,0.6872062331303942,0.7270479716691837,0.7826086798911639,0.7508351971135707,0.7529028756538859,0.834003400542767,1.063892309156951,1.4265163582893923,1.3767878945496692,0.9997752113317229,1.2026379971234256,1.2231184749451898,0.9674113318688485,2.8891436162742075,1.7789102497054958,1.2021779499589884,1.4137982793928758,0.9236014814415011,1.3259768133616598,0.9013901318834617,0.9950686861780811,1.0662004374344336,0.9577794801920974,1.273680994325841,1.3171437906737848,1.209945839427441,0.8856510603301849,0.8892608325991279,1.0798263698101167,0.9118790595916699,1.070660100818237,0.899354326534499,1.118443375327076,1.5248613282130754,1.0791723802097415,1.204145930588508,0.9501426787507432,1.3883560514082491,0.9152577581780805,0.9524324904853597,0.8953201143684242,0.8704230840288769,0.955787706793657,0.9400300793741333,1.4094587299639774,0.9908821905570214,0.7969972155423554,0.8175308580688118,0.8103089081594602,0.9560994656856074,0.8218378558466279,0.9341152831904113,0.9056243181644139,1.0435546800379842,0.9702628643794995,0.9592203871876043,0.8738738327334966,0.9368899794898218,0.9543925582173287,0.9264240112018459,0.9094543317142788,1.2761163250859449,0.9791083528624603,0.989371883909922,0.8943705832114447,0.9110850096962495,0.8875000420600438,0.8145488107281992,1.1471068170001257,0.8181884853394802,0.7910403893067547,0.9511613079930326,0.7486301845579479,0.6331119342673069,0.5660072239268323,0.5815369952600309,0.606428913230266,0.5911839105633476,0.6394688769112827,0.6348363643876882,0.8645934359764446,0.7789285522689126,0.7269477884089867,0.6305980882876121,0.590154385145018,0.5564288783364513,0.5144369784232721,0.5171871670624156,0.6144968236990416,0.5760555244475225,0.5995831272126324,0.6419014881963463,0.5872051517860474,0.682384965839156,0.5942890891064356,0.7389417553834093,0.6229804288947283,0.6120912545327825,0.779914655029642,0.6275087848764204,0.7023109181851035,0.6168757391049717,0.7884604524146525,0.7878487419478436,0.6746742801553315,0.6601435105172211,0.6334152825869699,0.6765129822888453,0.6088513156358476,0.6610591802996371,0.6634244827132755,0.6655065680955792,0.7468793049015106,0.8051873122070741,1.4154731580902393,1.784343841344548,1.3573373709861165,1.0252374132109603,0.8409327194503025,0.8407889773578969,0.797169840407887,0.7935343023627016,0.6774631420790943,0.6949241501178003,0.6193662524793236,0.6551219593036538,0.6818350053588094,0.7060035986116014,0.6612095918713874,0.7734095253360032,0.7704931339752245,0.7712469394179139,0.6587663238112516,0.6233268362043602,0.6906424855034347,0.6812367576370869,0.7355558566261227,0.8299248527705497,0.8360090664847151,1.0897056348477425,0.8446170050383278,0.8597208066967456,0.7409173303406552,0.7375240465487578,0.7168443204397414,0.6898125888493258,0.6776620121024328,0.8374590018999578,0.9254462204398712,0.9202440131621675,1.9006034169461101,0.8242753952726322,1.13493152390148,0.8776314156078997,0.7841293181071114,0.7210280739822296,0.6382049435874486,0.6589169927387255,0.7017353500594953,0.6195355440554382,0.6542331194473647,0.6770562110758076,0.7021705057637573,0.7637257368342523,0.6527119972580554,0.6868008132894181,0.7579515639569713,0.7312377068243824,0.7454721395254444,0.7810244835202355,0.8846608489825913,0.7799465748482869,0.835123338791103,0.8847146243912009,0.8648546315598332,0.8930730621876108,0.9980942386223791,0.9569374612304298,1.1150001071136932,1.0569782066022564,0.9030073923893251,0.9603930622927785,0.9965018256688147,2.1523263631102507,1.3699282439776834,1.950361195260638,1.1264621156198409,1.077972936201131,1.0692571878395358,1.1039189987266795,1.0061229236652385,0.8232767167789822,0.9686961633288075,0.8641697158538211,0.9832109565169075,0.7975150239424776,1.0396094081833722,0.8838139868220383,0.9481552915212285,0.9856887035481819,0.733292776171775,0.7517531985057397,0.817014068934899,0.9360107282655035,1.0791826604138988,1.2861065744925546,1.2190055374989404,1.0379779470980466,1.0875768049880266,1.2483501218965691,1.0546998155663623,0.9584265171727364,1.1531146927471707,1.1606491204711278,0.9736132668912076,1.135654402949871,1.306519321090646,1.1447540491574664,1.0771552767294004,1.185134896330839,1.0600522650823792,1.0798295182360738,1.0183804182065774,1.0342154219348514,1.0312277969616421,0.8865314132247536,0.8833048218692128,0.8992015231311151,0.889849101778626,0.7824324513774048,0.8478148170609996,0.9601763899883501,0.9040662767247026,0.8814514816809744,0.9089819937151862,1.1121726599808979,0.9812609860080869,0.9907226260983031,1.113164728071689,1.1674085767282218,1.3732212676340316,1.0717198380682116,0.8959527619599694,0.8503367820279105,1.103017084407935,0.9999361725334774,1.068144111281187,0.976104286629647,0.8509320545801182,0.6711822289507109,0.6317534478911147,0.6065025217577565,0.6584907784767412,0.7651621264325891,1.0933412300065235,1.4942868644539977,0.8495646026460736,1.016453822074814,1.0205746903840023,0.9458173520501045,0.7582743201066212,1.5076139448800867,1.1168706779728137,1.3532725098490077,2.330176721378071,3.443169378514051],[0.6811257364061675,0.515524794466173,0.5395533077078464,0.4328440859760869,0.4206239196381332,0.44010351202152503,0.4053805265522588,0.5146133695198536,0.4235596073533404,0.4210176904988746,0.4896115547081618,0.6168638361467015,0.509795146852938,0.5101894026693886,0.7208391921591225,0.6697901399751337,0.641881745770461,0.7258759282607247,0.7975150814355034,0.7428306899253969,0.8171397048007829,0.7826528545797253,0.9725083495297492,1.0658156655908015,0.8345644187434106,0.8166834236478289,0.6704214104228559,0.6204506986313806,0.6493429197918997,0.6664153690770703,0.7786779582307536,0.7366244270277696,0.9270142596899794,0.872206671039265,0.781010966226589,0.7374744270279942,0.740819390119713,0.6676913763436904,0.6155260062769248,0.6493145638274215,0.7047031679946184,0.7049810900823742,0.7029692312865179,0.7996838446030741,1.0253670516215556,1.3691054140859318,1.3454426064784555,0.9790840853956873,1.177675147221251,1.1874776379116632,0.9556132835054301,2.9300515044074653,1.7808087099802759,1.1936625256515891,1.3444238235103754,0.8848358024356627,1.3406237424763663,0.8893685782126879,0.8976631657602743,1.0451650617717365,0.9259694192640225,1.2441391030642062,1.3008636994523477,1.2154317887418329,0.8750114229293668,0.8662112980299287,1.06193397401995,0.8876041285276467,1.0719218065143836,0.8808732736038045,1.1123396319693724,1.5229246026146293,1.064856007336022,1.205840172530387,0.9102548433456693,1.3654835766821773,0.8727001664592775,0.8948200329064181,0.8275683042769074,0.7897570657887104,0.869657474501453,0.8373748978262734,1.344488377821369,0.9103779663064855,0.6939446531468123,0.7135859420385399,0.7237422584098047,0.8787434900282981,0.7486179949457219,0.8605719609907204,0.8421840823116491,1.004665898468188,0.9099028716028881,0.8875521597563383,0.7928230489869121,0.8570184089141495,0.8720926272157206,0.826140080870135,0.7975293946848637,1.1731551605728943,0.8604228567364449,0.8652553965377412,0.7711447722976693,0.7909269345586737,0.746998159003335,0.694454198955333,1.0130299385465025,0.6786529592174678,0.6569357983940678,0.8415256510348418,0.6100015395747346,0.5060234286800182,0.4463836446380141,0.47894763118715133,0.5062108919484729,0.5015746506301049,0.5725833640061465,0.5881289077874522,0.8464404635904947,0.7331551339509864,0.6933166280983223,0.5684853365119042,0.5374636065784525,0.45861912462385207,0.40301174983751936,0.407325618997238,0.48596557370650645,0.45730171013871473,0.47527060590241405,0.5193014625843225,0.46578857894651005,0.5744468179154366,0.4680785771124355,0.619857220446446,0.5092709374029204,0.5000004407311025,0.6651809282213782,0.5235627724445518,0.6031201294525605,0.522550216768205,0.7337501455531764,0.7657091599603159,0.625259837707259,0.6182813073536964,0.5524441879665062,0.5805545808291899,0.5135373781719591,0.5661497465165921,0.5478675328611441,0.5365712481583731,0.6362462538088063,0.721183911724731,1.383287014123918,1.8222604829725215,1.2759403839420964,0.9174567167679133,0.7181033965879197,0.7271353428122852,0.6882588474610103,0.6900066314456866,0.5658487271768387,0.5911877466476999,0.5348009943574185,0.5871477299785322,0.5907384892432003,0.603065653052899,0.5730363851067779,0.6857571781446917,0.6826925413598064,0.6826567013526372,0.5590563978799122,0.5226139962353983,0.5834061257036214,0.5820837330305504,0.6252973308893609,0.7083572800834,0.724442115123269,0.9853016053338118,0.7365637923647328,0.7624135866577808,0.646487803060998,0.6120535488161429,0.5902015197117595,0.5744648595688079,0.5824290601067644,0.7947513057705491,0.8738651608405447,0.8882386625306511,1.8476033607414388,0.7943965682524081,1.0915203659006723,0.8514862194293499,0.7061115783150906,0.6219108503104519,0.5166132980025497,0.5381449548704555,0.5875519625006126,0.4978882024308213,0.5364791936014531,0.5706111504579396,0.5975632633539166,0.6768844178067654,0.5483349908286317,0.5895752557116503,0.6707203693388393,0.650079525236378,0.674633312374321,0.6965889348732316,0.8044553851586679,0.7040883401753641,0.7574114490619329,0.8182241097913877,0.8051553175596297,0.8246939363408358,0.9205728929809838,0.8847607743315025,1.0344357378863829,0.9822629040937293,0.8149893977016618,0.8829582316240235,0.9203538790487517,2.1670375613205732,1.2653446044567136,1.8630619204824634,1.0523458087864905,0.9851348851245642,0.9516662347166088,1.000260474929051,0.8756845410160745,0.7004956753041032,0.8610609089545828,0.7718268206263298,0.896855817548265,0.7075902466900401,0.9549029794636454,0.7786082836844275,0.8564709679545338,0.9404004883729226,0.646339759740194,0.6622470197537114,0.72255871728219,0.8563806843886836,1.021112142080562,1.2240511244517867,1.1724020123959085,0.9611035088318974,1.007537224984424,1.1699638757434938,0.9919388556811684,0.8693189590771975,1.0811828807508408,1.0977013500205222,0.8957069747040352,1.0492764388740259,1.2318179952996429,1.08600308043886,1.0030114387693831,1.1083436482848943,0.9869052236150684,0.9858564076038999,0.9167946978183641,0.9269959728284622,0.9397852537820238,0.7914344770173476,0.7806028255822144,0.801076467743233,0.800747836955717,0.6706987844133433,0.7352639217800842,0.8765329504566585,0.8113002599119222,0.7730297665629351,0.8182298455290036,0.9978759303172704,0.8907996340914129,0.9138362137732918,1.0135672464939913,1.097234340575908,1.3207072052396902,0.9898853657915712,0.8122040555925849,0.7634012623068289,1.0214495187294683,0.9001598733771347,0.9748036758668097,0.9080190158446658,0.7568538878989891,0.5901454370797481,0.5236039820356899,0.5046971886318321,0.6062692448225419,0.6881731620313833,1.066528982234835,1.5310125209413852,0.7751959847686872,0.999946466877911,1.0594884733983947,0.8574777105659477,0.6987901347639944,1.5536966587665593,1.2679624676762637,1.5022665127513692,2.506209527015589,3.5550255970866576],[0.8442437203336748,0.676139977774627,0.6893354077066917,0.5660149254025868,0.558449170332069,0.5963835903833864,0.5548914413282849,0.6545924628677284,0.5800556149707391,0.5891740835902971,0.6860895222158077,0.7772763251808452,0.7185943972411926,0.697029722931228,0.944339507344976,0.8963959870091004,0.8392812370938235,0.9340054312090058,0.9738927785489684,0.9376510084978906,0.9955453693113083,0.9656681044363543,1.1108313959396796,1.2106369413652498,0.967951083137141,0.942227037985055,0.8519357981487392,0.8075763950967909,0.8630482244130078,0.9043166014532674,1.012219578251374,0.9706831947660797,1.145613387413711,1.1518785051059994,1.0326985883655715,0.9810590475947998,0.9814488571313311,0.9024937932627611,0.8170769761182439,0.8529477741947465,0.8975991687877919,0.9068848178093478,0.9295002781709479,0.9503166105549735,1.1369295742833028,1.4675417944063938,1.393862258984145,1.067918934550372,1.2591191931961065,1.2306535199620487,1.0625390415483946,2.965994966578782,1.881499725721289,1.32514633944339,1.4515641049152668,1.0498717176270338,1.4384958004161157,1.07396183637988,1.1203600155585298,1.1553216394672048,1.1050676083991013,1.4311586279928064,1.4555787466000059,1.3640293262631231,1.0784715566918626,1.0599822364733265,1.2169823427324034,1.0860350141762458,1.2181599576903555,1.0755084568439481,1.2619988947061347,1.6893394522867704,1.2757122962854341,1.365236218598795,1.1597444770726626,1.6182261889386946,1.1368849907531104,1.1946045182522043,1.1027681026484482,1.0672896194219628,1.1348956800469172,1.1056808104088176,1.5297182453446465,1.137905020506282,0.8823424293247072,0.9485597327154027,0.9756428589753776,1.0845054963905674,1.0105398182161462,1.1523874466886557,1.1188836137903015,1.2638347946332773,1.2032200654224354,1.1677740442684297,1.0522845852536233,1.126689147727888,1.0927099897290542,1.0589723444270156,1.008837691739519,1.3089033159180479,1.0570316921831489,1.0543655359201682,0.9764109750491187,0.9905548409045309,0.9493213392854022,0.8792486485509498,1.1866331607696508,0.8714220963668247,0.8306385531301936,0.9923014284024588,0.7644368184880592,0.6764205870227413,0.6115971776578094,0.6252780760612474,0.6724365586929805,0.6474123792295655,0.7332012230756636,0.7233666381880443,1.0136686954333156,0.9294190361700573,0.8884209030488155,0.7320416765359976,0.6418675828768009,0.5735308507289256,0.5208254567337338,0.5200644697303545,0.618710205003022,0.6161660691897582,0.6449541515171143,0.6931121906815666,0.6261866120586903,0.7527973394063813,0.63311250001526,0.8095498820232411,0.6582216269034428,0.6335007710186819,0.7376764870916993,0.6155718989689118,0.6961780403174098,0.6197049290004336,0.7833244240593251,0.8009964065040786,0.768257760426937,0.7680944679747882,0.733182365458259,0.7831239115902436,0.6913287991042295,0.7400772610246649,0.7176768130400837,0.7037185195336156,0.796961243482792,0.8454085975082903,1.4537795857804108,1.7820774323089323,1.3080923233668573,1.0816499868530995,0.9115216446362063,0.9135851963765638,0.8773278525151119,0.8660398359386406,0.7185064500543704,0.7895209065492699,0.6915786305496706,0.7582360822890006,0.7509004640914938,0.7149409188474148,0.6740809372322087,0.7489058703175885,0.7493327131979659,0.7642078309869849,0.6553728838330953,0.6391907596905233,0.7283308585341643,0.7464832783502272,0.8089683052340106,0.9056129445829861,0.9303454193082716,1.215601965546024,0.945511972544666,0.9779975750807233,0.817088116055786,0.7970244364442598,0.7819162629029933,0.7480385474852863,0.7270573190882145,0.939243953374655,1.0076777454663501,1.0047322887193322,1.9067247472842694,0.874539116965244,1.1410477094559188,0.8940985498537878,0.7853548353558847,0.7161957250226961,0.6524804356951632,0.6798660380451056,0.6953524090414616,0.6835842464872571,0.7017275779735755,0.7448666040277432,0.8041432051013024,0.8674380323994235,0.7367068012156227,0.7820030385375979,0.8767634152882182,0.8374690668620477,0.8423267367115709,0.9095579395299405,1.010187092776608,0.9037998313281383,0.9760429843769164,1.0573317023483286,1.0191751951558532,1.0479108884064028,1.177647173136316,1.1172284177046459,1.2333905162873238,1.1993217218417942,1.071607506380394,1.1775189604353973,1.2102996950462124,2.2829338081677832,1.4956088568520618,2.053023767675351,1.2833966394036935,1.2433680785137557,1.1686745748078766,1.2200317031116132,1.100153326115817,0.9385883742914878,1.0632815388099228,0.9792106462431657,1.0708206075134268,0.8811202709127383,1.0745586104131268,0.9260443966784861,0.978148641578138,1.010721224221641,0.8165316090234042,0.8674833709403372,0.9256229295592625,1.0531397602143933,1.1912392936426066,1.4030614841782993,1.3317698028135068,1.1371073251311523,1.2137643779127623,1.3507819488365451,1.1332680072679673,1.0371915214514276,1.2468267936476984,1.2355205264133868,1.0612031984668484,1.2495579750942476,1.406681408661852,1.2546920876038503,1.2385607405570984,1.3601193225959274,1.233688652540007,1.2283139673405106,1.1394786732280917,1.1706411572696471,1.1872576167606317,1.0159916632194057,1.0020396552140292,1.0573090836019794,1.0478512691644821,0.8830703111051371,0.9748465400742078,1.076401042345565,1.0018108497806175,0.9268215862161533,1.008043772443426,1.1454273111595688,1.0274629839621505,1.035097972578335,1.1691873946327196,1.2243087248854638,1.461618281415155,1.1538814590026,0.993054869094489,0.9378374425442241,1.172787349634769,1.0238038691741764,1.074129665578298,1.0072935467869433,0.8880694926191457,0.7296983610333018,0.6776610327259998,0.6436733210583774,0.7938954413868252,0.8504281958153493,1.2145447860384884,1.5136831311176684,0.9334322360998202,1.1648975329934783,1.1704549110725484,0.9636510139046544,0.8495606218646538,1.7262048931766838,1.396905577124159,1.4995939937770468,2.495089213828347,3.6215244367742865],[0.7160157440434679,0.6057669490735871,0.6497219502593595,0.5461427342154689,0.5308917062023112,0.5691198743918504,0.5103803580263649,0.6127994124954212,0.5206401311729381,0.5011350630100372,0.5585445112569088,0.6553865798363592,0.5695079979792753,0.5423549282234102,0.7684582448660875,0.7126499037962241,0.6269914870382703,0.7041994862558651,0.727181861615679,0.6976177777711754,0.7379781760291458,0.7137046498772531,0.876689518278538,0.9666169787435751,0.7551383332580229,0.7308358787588042,0.6435341190988625,0.6095961125164164,0.6571788636357887,0.7251103894325064,0.7872646796675622,0.8122550165938268,0.9573199450884174,0.9142828075000038,0.8309510082646904,0.7636402395920209,0.7995569805048991,0.7001895825068556,0.6311417501243497,0.6741022757942428,0.732812689095156,0.676414218370174,0.6974671201744536,0.747435691377599,0.9712896454948028,1.3528194538612914,1.273142455845241,0.9043066111457121,1.1302969215945284,1.1355109313573881,0.9450929445025692,2.856175418286245,1.7648168217871243,1.1447498187857648,1.3494455151966933,0.8467289738738742,1.2540359143572184,0.8233048250499799,0.9880318987103134,0.9991688829567001,0.9018718315307312,1.2791075859867416,1.2839709645782609,1.1147212119515308,0.8242517361768062,0.827212553445978,0.9704292317954663,0.8457059965793725,0.9938187384989647,0.8484428718970537,1.050602182399012,1.4881675689998586,1.0567989677808094,1.1564948738274612,0.9052682749086033,1.3649461278515018,0.8699439238400669,0.9216705290784404,0.8499675480526877,0.8162769859293103,0.920242483129657,0.9247292355600505,1.3713844789377512,0.9968406907487823,0.7918101199976808,0.8028627472959586,0.7783034486527345,0.919298000072028,0.7737967124245055,0.887018827415509,0.8740161322033122,0.9814244139925029,0.9325917872341764,0.9157267915275729,0.8239907819338864,0.8904803939571103,0.8974678749294196,0.8834271538758288,0.8827556572302948,1.2495925548237534,0.9590707845457432,0.9917748559431387,0.8796409282070661,0.9254149687563017,0.9016918556397083,0.8321965232230579,1.1863263275031901,0.8606689045138237,0.8112841868160815,0.9673366464958152,0.7478259234508294,0.6166572140898127,0.5458405728047449,0.5403120089997651,0.5531048655297454,0.5192109525870928,0.5746680530069241,0.5492919642474902,0.7599718975090938,0.6990977708861399,0.6607476955974033,0.5452893033158295,0.5074584438929753,0.46960076250431243,0.46244206489546663,0.4921101660041759,0.6051172331577093,0.5753095350998064,0.6207504703411328,0.6536974785107558,0.5965781821786236,0.7245718825624466,0.6024490729827017,0.7588998068129061,0.6255040766968065,0.6031953170262238,0.7487861670476763,0.6078327570157502,0.6758554410358629,0.5445961372454093,0.7222717289370467,0.6909002958163082,0.6067787312518743,0.6203434349167658,0.5712456405556131,0.6120522032553034,0.5586299887368843,0.6457082009398403,0.6319890599967183,0.6403368409565234,0.7434109237307329,0.7851963586142429,1.3711668533945518,1.6964708848329484,1.2750999382727624,0.9970001629017252,0.8202209727750105,0.839524991415414,0.7873478671552201,0.7947511448987401,0.6487281142590915,0.6580341146894494,0.5911814774566736,0.6294092266228694,0.6635324460773288,0.6897256507923586,0.6301377485308814,0.7317836806317954,0.7611287475499449,0.7648970360649441,0.6421680556568238,0.5970367610547758,0.6719774610840635,0.6732245981956112,0.7141810458678456,0.8187620232774988,0.8160575760376241,1.0991804640283687,0.8277873448828662,0.8682992339859218,0.7178035490068139,0.727409475654283,0.7122987361004314,0.6858974451070835,0.6587926058007096,0.8452041802447192,0.8987740215308534,0.8937034735377728,1.9124512779056053,0.7853512990436703,1.0644169460392428,0.8279613951839552,0.7049220707115277,0.6682145378917674,0.6289723549107219,0.651990144703798,0.6978675849637972,0.6447123356532103,0.6844247302699669,0.7177143555176584,0.7656451050678122,0.8225754390018385,0.699166730210091,0.7437731391792792,0.8157655005045857,0.7814072330175136,0.7964654075010743,0.8354223853465156,0.9249010523267297,0.8314150125955325,0.893004731528136,0.9486366379083777,0.9140530674157755,0.9664525960235333,1.058729318853309,1.019571755449957,1.125546321327629,1.1151502986953772,0.9719470026145433,1.034693961811533,1.091130498766879,2.2550450829444473,1.461889186284487,1.9833853223952613,1.1758115091125554,1.1297002223393144,1.1104699291152,1.1554114448138988,1.0389606520423655,0.8912647536778058,1.022800713539476,0.9158846727806577,1.0236487485828194,0.8402607622736351,1.0665762144790827,0.9113761275486638,0.9772811157121181,0.9918348853790794,0.7892735660173095,0.811388351309172,0.884033491415233,1.0038700780078949,1.129247288263513,1.3185068891000735,1.2548856184715351,1.0955703099122773,1.1464427488118856,1.2810472411951674,1.0716249125078063,0.9839113920073427,1.1860166478364105,1.1832957272064786,0.9844648045307582,1.1461483306699762,1.3021505694532551,1.1482004776069012,1.1036473765460464,1.216404528095768,1.1042661749008842,1.112647816207547,1.0441865337141305,1.0728337071765848,1.0716654254675884,0.9311927809435884,0.9266054880879303,0.9590685696497996,0.9507578514687647,0.841385403422798,0.9244623935309635,1.0093027642482224,0.9495971710841744,0.9106552644750612,0.9623472773910573,1.1332759326755004,0.9879396473868287,1.0063851037554954,1.125702104058803,1.1868005523334648,1.4293749226480639,1.1122536182082583,0.9432981907437133,0.9003321587859466,1.149209038918746,1.017759582698071,1.0636583548819114,1.0095977582074505,0.8814866543797151,0.7032648851464801,0.6663534218311024,0.6385563025653926,0.7454381373580546,0.7835347669951839,1.1251430055906217,1.4464593244668111,0.8735418598353469,1.0571638078259005,1.0167553912400848,0.9399491603390459,0.7842437054347999,1.5728664331452291,1.1223864250808628,1.3347745818888865,2.328860290093686,3.4422595615128824],[0.6588700396177158,0.5131421093983941,0.5590415650326117,0.4503623973713207,0.4393369566732871,0.48073213832628325,0.42724966705651785,0.5520692388166228,0.4481005364629656,0.4415908537839852,0.5017527424690208,0.611318875491386,0.5100889834866058,0.493032662286131,0.710502856746617,0.6487306990213632,0.5874717657050599,0.657941816757172,0.6994122606898923,0.6626478331787795,0.712143976749799,0.6725883022355349,0.8661251235237636,0.9542323066600806,0.7481224090203152,0.7203756130592008,0.6089227105875841,0.574956856820245,0.5930216392268962,0.6335351004241289,0.7168975389192285,0.7241673235970872,0.8726362416936522,0.8219729080556031,0.7344147256161746,0.6783463811553603,0.7043452360027653,0.6223691986692358,0.5719085933107518,0.6115365565620917,0.6802795965435594,0.6317288681684856,0.6344197638052615,0.7241776025186709,0.9740048739338906,1.3570929898407056,1.301787392139902,0.9037709791725471,1.1237246006163428,1.1354432230535685,0.9120628496378917,2.8617528606984726,1.7351214612462176,1.1118195031996514,1.3182365282042543,0.783379509041422,1.2326641687151667,0.7564907080217822,0.9239446285065195,0.9526114692665814,0.8340028497505267,1.1751131880252323,1.1987762790745902,1.0712899548497306,0.765597550729565,0.7828893835947597,0.9629053228865273,0.8022479141855016,0.9633533776289648,0.8014098004202738,1.0486111809552607,1.451591192646766,0.9988038429827438,1.1046665176708124,0.8412689333868703,1.2955374097924095,0.7970780040374911,0.8312178689073806,0.7555670923242909,0.7268148480045528,0.8216926829069903,0.8222125287636108,1.3150122718372568,0.8738305999106403,0.7017234779997217,0.7026424487125704,0.6846826712097409,0.8383016699638853,0.6873347107628304,0.8005059463641013,0.7920676252046757,0.9151887173497861,0.8539983665054064,0.8250732619723038,0.7446357858912385,0.8055683446226556,0.8337346711117187,0.8053416257253959,0.8087192038201364,1.1929620405077057,0.874219012635946,0.8882068001419302,0.7795130935830104,0.8142574038917636,0.7877890296545386,0.7391642372967475,1.0814588171256458,0.7295281560018884,0.7073960703412158,0.8794953719944238,0.6626614877133098,0.5404498869286197,0.4779626753979918,0.4944470108242499,0.5163058796483864,0.47687163604146626,0.5449956803073482,0.5166092085639072,0.7545167181648428,0.6687612329597024,0.6274712333971186,0.5128748469144437,0.4757396417999622,0.42078418102444587,0.39190008537977816,0.4091458899154997,0.5184330264211267,0.4857665955514477,0.5206938943600191,0.5570963333097868,0.49369423556135067,0.622491751037985,0.5010256451431828,0.6652962029226257,0.5354172561567602,0.5156192329770606,0.6896247287902006,0.5540735489625755,0.6340246243004465,0.5005485563230792,0.7007123763770702,0.6853242112230579,0.5713625707427638,0.5748469277110969,0.5250939177385792,0.5627669268442482,0.5035433739166185,0.5791497621439738,0.5625358491182041,0.5641929205950468,0.6569582844676727,0.7216150480119399,1.3694156291395643,1.764931340175214,1.287616507452841,0.9211293004807931,0.7387891826817821,0.745403590057259,0.697771489713723,0.6980494703330419,0.5702667172837551,0.5794905700237117,0.5163191665774265,0.5583512018800941,0.5889065007416662,0.6012904316933464,0.5766126408956951,0.6862774196688264,0.7002290772845338,0.6989238432217072,0.5707272927254,0.5241737088401395,0.5992252697076804,0.5796805489888498,0.6210406782660799,0.7168418160494672,0.7220141449912671,0.98560953396807,0.7228120303503205,0.7520577996432023,0.62725199617111,0.6298826398879386,0.612698626460951,0.588924469004557,0.5793530052335333,0.7737800409917761,0.8471757866460234,0.8500697705740339,1.874828581552158,0.7620928344766118,1.0597629967672926,0.7973042139610497,0.6873859014249346,0.6276036897964274,0.5401500772905592,0.566722371463376,0.624856715198041,0.5386892588060744,0.5802935038816817,0.6106574328131691,0.6311078052602855,0.6961146047453526,0.5770196405512281,0.6203966295230398,0.6953998414234182,0.668412088217467,0.6914067575655958,0.7224843954599945,0.8255498052400815,0.7281821516211286,0.7858488743347413,0.8382635855503175,0.8165280016268177,0.8555225219709801,0.9524047132454251,0.923593590339962,1.0526069893649217,1.0054186629798634,0.8525578409350211,0.9095619136410118,0.9463760483871199,2.19056414194827,1.2836401067120344,1.8799700163600603,1.0811670167387342,1.009437414908178,1.000310750666681,1.0318914521334714,0.9023749403207587,0.739741881264825,0.890608324474356,0.8031958433380207,0.9276510921872231,0.7321593879330163,0.9655682408896772,0.7974011204579177,0.878390762382521,0.9160073595615659,0.6642575573711195,0.6975012432300561,0.7609165754684202,0.8744601076748615,1.0213362070686678,1.2081850293019258,1.172083706856003,0.9881542398232638,1.034842739321323,1.1771513685723063,1.0017170777155793,0.8960736247153945,1.1001484384961064,1.1174274292975745,0.9112052619774293,1.0587700675710117,1.2349777808805962,1.0897571514546163,1.0112214709055343,1.11512910198913,1.002868695663543,1.0021735810553534,0.9391704496475659,0.9470619157347245,0.9535022359985861,0.8201987302689154,0.8065126112230899,0.8364135125472334,0.8381548235196533,0.7108853431725419,0.7807035330264979,0.9037650290639234,0.8414428368253837,0.8008761390960215,0.8572483454546254,1.035070486807941,0.9039877834083194,0.9320041283047312,1.024508988318085,1.1072373777730782,1.3308676169880316,1.015770649652378,0.8489457859692351,0.7948248721425099,1.0559617806392716,0.9201291259161133,0.979860736939726,0.9147685201152587,0.7712675228962776,0.6127107193332585,0.5562031177916189,0.533417834898039,0.6256156962902978,0.7134325943239028,1.078039295560503,1.513711031367337,0.7937179280370569,1.0154564869330207,1.0366925512353575,0.8838568775631257,0.7219699566040352,1.5488780362609773,1.1911543133246916,1.4243035245481777,2.3920482290499105,3.4709798118059125],[0.8174851572797319,0.6460225245372566,0.6766900941096192,0.5612029814159142,0.5542460382221366,0.5948215187799858,0.5886162161818955,0.6889510649156666,0.6082306720127255,0.6180905908411647,0.6880224829296799,0.7654913884993407,0.7152794541504586,0.7004748935728082,0.9139130352020667,0.8479362301669225,0.7913915108274352,0.8636004452048679,0.8951912604554961,0.8787614925904926,0.9201110073899903,0.8950991954823158,1.0463333950994276,1.1060790499293462,0.9045950197102749,0.8845384031428409,0.8107751704131858,0.770147225030403,0.8039299441918708,0.8265329331810575,0.9244193207431404,0.8844559249030537,1.0173365652663355,0.9900384208889013,0.9175482568890037,0.8818791818396564,0.8778438836768672,0.8194100476897805,0.7623447803566239,0.819634029360971,0.8539780840867586,0.8098738829622867,0.8357596212362168,0.8563703537233277,1.0074751860854265,1.3711998431927532,1.2872378388722994,0.9820279899434996,1.2326871341261298,1.2133499542064277,1.0682005575252935,3.038485791444412,1.9451364163208869,1.3332356963508623,1.3968585133813032,1.015453664478433,1.4506809222304895,1.0300513938890359,1.082297885625125,1.1104072775302474,1.023586417843047,1.3680669918468167,1.390257262689,1.2518871515815067,0.9977945070562795,0.9592726202556623,1.1519631329985531,1.0367019688113728,1.113108493836667,1.0203637167301207,1.2152591352454818,1.6294124889241484,1.2299545643046519,1.2609144845049731,1.0417222663048367,1.4265081957248504,0.9912174486734859,1.0094600736972712,0.959041244505546,0.922285110935482,0.9770108599175339,0.9844675147722425,1.4277643284379744,1.0664700782219438,0.8445499966069705,0.869883467065116,0.8852750041590861,1.0090267934266643,0.8969379230577227,0.9815390183064386,0.9867654382679374,1.0796625160486497,1.0409490306557556,1.0106307535269579,0.9420553030905915,1.0082279994876884,1.0505329395967578,0.9516255341618992,0.929822687000643,1.2506178388743148,0.9782048487776352,0.9768787692630245,0.8986895118959626,0.9052918669855676,0.8941884604535163,0.8368627752370413,1.151163421275969,0.8463496965162258,0.8196393300178574,0.9389227276133993,0.7427567625099005,0.6733860871880571,0.6358831290399384,0.6553729315439432,0.6675056342729188,0.6321763437567888,0.7015284724481139,0.6742697010962954,0.8455531393445684,0.8227480510037886,0.7742760656870005,0.6775513853489613,0.6371165212143004,0.5940578931620673,0.5693060860616298,0.5831275674986742,0.6191149030676467,0.6603383107918095,0.6556986945257215,0.6989998955076308,0.6262436538900487,0.7420166261938185,0.671075756691805,0.7899951356477795,0.6986236331976924,0.6907671739898938,0.8150592040477534,0.7100207460490426,0.7856361994971761,0.6740215273734483,0.7924107888445683,0.7766845492545278,0.7629940083809414,0.7602435565727103,0.7049515023798023,0.7303349447001686,0.6869881315060687,0.7576547922284098,0.7194353573201462,0.7085739370297411,0.7699264640407607,0.8086909373193908,1.422691840871722,1.850022878047964,1.2723881355476425,1.0120253057240183,0.853927284774932,0.8465863025661032,0.8359562961494993,0.8340560200791479,0.7371533536636787,0.751206097693059,0.7071960956930652,0.7487057707732395,0.800766505155062,0.7530393152173311,0.7424467833575824,0.8039050661531678,0.8274813584459212,0.8357038253126521,0.7319821938973675,0.6914085135727137,0.7611527565251501,0.74608977154223,0.7838639853120559,0.8557616775562799,0.87558483720401,1.1066935815408494,0.872871936063272,0.9108238541955966,0.7953357104157538,0.7768188630576321,0.7626971697605371,0.7473026296557134,0.7561099438412006,0.9338071369357324,0.9766994978920355,0.9996241899126925,1.9319798691773398,0.89292606378814,1.1941586840125156,0.9510890200697195,0.845776178727947,0.7698170207359109,0.6959037821629562,0.6880358888525399,0.7407443603055718,0.6629512189331773,0.673763864177727,0.7055671376448737,0.7661391751842751,0.83673530968852,0.7043820429822473,0.7385429173702854,0.8328222073790345,0.806739209507526,0.7989539182614318,0.8471420501771727,0.9537299631864702,0.8558589933686801,0.8959899161406938,0.9778809803991835,0.9573557635739344,0.9714645949800764,1.062217991252485,1.0144898606207347,1.1615707703264824,1.092255669462072,0.9562834028108705,1.0468002544948953,1.0869860776667408,2.3716687638281653,1.3550136453357204,1.9604505362728302,1.2184848709979308,1.1404033431621234,1.0822390443742813,1.1601019845511316,1.0094160443037823,0.8773123655676437,1.026141449376716,0.9381416110303086,1.0087334586772532,0.8321829701824787,1.063371455603421,0.8530879931426409,0.938142216157423,0.9905669033607357,0.7570000215773027,0.8387156321969493,0.904298265303665,1.0021149668907487,1.1434130949236665,1.3597785887520155,1.2794647129865795,1.0855858897742288,1.148520540801516,1.2974862909967344,1.1014549081517682,1.0161150576521165,1.2014656107397597,1.2001468163532893,1.0226897474017724,1.1613506429751999,1.3082461527541462,1.189920160713016,1.143316944473831,1.2405858470808233,1.1400621709957108,1.1220842524357637,1.0575966233258995,1.0749499865224315,1.0798953025189093,0.9568831973249126,0.9500714822391093,0.9681238288886576,0.9622588409746571,0.835035273032325,0.9012407744735086,0.9924716596764902,0.921881066915415,0.860690493406308,0.927140216479411,1.0409599768899784,0.9100642939900128,0.9464654939350582,1.01134540554256,1.1138485319379898,1.3497053104268346,1.0411004531083012,0.9153149106309343,0.8641811820667277,1.0743852887556145,0.9192684510111094,0.9471828688946821,0.8740359590845126,0.7913677190176029,0.6627154743048851,0.6454793667892266,0.6253852176258909,0.792587139565647,0.8466849495720521,1.239473279393528,1.6051239455497688,0.9193769979909312,1.2046173501970598,1.2571906783304683,0.9365664569848071,0.8648466670919739,1.7947597382331157,1.577476259632063,1.801407647266177,2.9063289800247456,3.9221861902331776],[0.7834029050659472,0.5423158171189639,0.5397721108299133,0.444984128767919,0.3894751141931981,0.4154100415983818,0.3888794630121108,0.47410072442173157,0.40300830710366464,0.4353167728072416,0.5137712023409994,0.5602908071968137,0.5141508566922541,0.5310883932292938,0.7386617290807267,0.6592385235218486,0.6257093838918798,0.7140229598825472,0.7642110451459181,0.7213450178110916,0.7775002880365518,0.7440619454400261,0.9310438581642891,1.0198323264721272,0.7635584803887345,0.7523458401599786,0.6554916803157037,0.6118282563524424,0.6266792357139136,0.6467210051083159,0.7427457877222589,0.7008471021838321,0.8580623366836346,0.8090420041299446,0.7354436851077413,0.7073647036756099,0.6925807742737725,0.6418496874995632,0.582264331884467,0.6140646018570938,0.6988108819447963,0.6805761850799839,0.6923700896661289,0.7397699934443106,0.9627628508012593,1.3506214943228196,1.2821893520748036,0.9052720892429101,1.158595748891888,1.1237630503120144,0.9332275738864177,2.929290604312884,1.7955501930265518,1.1818120320426413,1.2846222842529669,0.8300118186472075,1.3101742042187317,0.8478161195620508,0.946822485575361,0.9917999331723979,0.8888181011741695,1.2506023482363913,1.2408047807326863,1.104609215665934,0.8466898586026099,0.8090758887591485,1.0112130471392398,0.8758684225710447,0.9960212904096566,0.8727879980893691,1.0838346838781368,1.5190089904971835,1.0805026719237716,1.1408190728298713,0.8943798663240176,1.2933128073970115,0.8329624280241432,0.8415850961150815,0.7826460662673966,0.7599247212966312,0.8066143534605534,0.8021085710972167,1.305442346417419,0.8930276176719286,0.6964652895256311,0.6948653652345944,0.7036529997509333,0.8274933626654581,0.7271606808655025,0.7986548126922246,0.8138030320517073,0.9256538618288264,0.8709983501575471,0.8317530014592444,0.7560028400026904,0.8240404773290922,0.8836363572872017,0.7715492097061405,0.7583803173692396,1.1409008430762049,0.8165778840099063,0.8163866008076998,0.7297550193755918,0.7508956392154879,0.7250768898966096,0.6597920352261006,0.9682440001449809,0.6354831214704821,0.6163563285647188,0.7827939329000152,0.540203085276041,0.46342267906522483,0.4180656477269122,0.46655001271347424,0.5047077591046777,0.48482190815865095,0.5540962368652385,0.5532929943750072,0.759102981351016,0.6964441841928741,0.6708731637674605,0.547557494999459,0.5243544044390334,0.44858351747057085,0.40355298395631956,0.40278726019583605,0.4556275659238297,0.46043386645078066,0.44905693644232975,0.4887590111078494,0.42970836938400947,0.5382858212061182,0.4521492198380077,0.6141192776713398,0.500655164044062,0.4970676761588552,0.6699712927517564,0.5460411512304569,0.6596037516722277,0.5230880851277577,0.7048368188008154,0.6795066694235415,0.6064220482654925,0.6310350422191553,0.5414402107742534,0.5687931627624343,0.5116577089199006,0.567936735109188,0.5206397748662095,0.5065204354784905,0.5838054850892463,0.6530051383764507,1.3002591719943708,1.8527776365191189,1.3153418327889677,0.8681621058366782,0.675894833367167,0.6701074021108927,0.6658143944029205,0.6295287746967433,0.5399805147092591,0.5851009117450586,0.5253497700773282,0.5678283988234247,0.6073462101323166,0.6106760247840772,0.5683040975088797,0.6714749734494325,0.68076518189068,0.7000037234282837,0.5693470086172281,0.5217816745918769,0.585756835420316,0.5558349236164536,0.5959854859238931,0.6739750810513743,0.6912677341586413,0.9395566099551047,0.6979093775146332,0.7349440396424457,0.5865680462637753,0.5740318010377962,0.5605000457739933,0.5563542642731817,0.5616178036254247,0.7734358301119969,0.8233328373488875,0.856544483899828,1.8222894674463679,0.7503810013170864,1.0727269324322466,0.8223861177823,0.6744887495171835,0.6045407453538209,0.49521536578507663,0.5253006143900668,0.6170457665082352,0.4698088326014785,0.47715056285557206,0.5252744185877233,0.5478228302371076,0.6287588838963318,0.5033936568228062,0.5337619748964922,0.6189254467226665,0.6093697108816014,0.6540172400860276,0.6557742537432437,0.7505419614846381,0.6834855900088849,0.7296873640212198,0.7970609503663765,0.7927361423229072,0.8077809261057309,0.8890769224692109,0.8436461244688216,0.989505427631884,0.9000510231189144,0.7621532150292868,0.824824575253766,0.8578962422128329,2.318992329015938,1.1604922673903726,1.806020863654203,1.0459006604337284,0.9151012272960884,0.8805033316717719,0.9575637010019952,0.7729848884932978,0.6450763256287633,0.8204871311938083,0.7360970680515314,0.8224134112320681,0.6453794294393945,0.9791457904370743,0.6446914908702887,0.7762135849754888,0.9104173415611433,0.5948062955990936,0.6325975128506377,0.7054489671425959,0.8199648700379065,0.9851573428102985,1.1846147331492392,1.140854069389246,0.9156046896758285,0.9201513727563454,1.0769697709128057,0.9290324066376978,0.7857738152332919,0.9899646871470131,1.0065229729549212,0.8024079810253513,0.9414155181104982,1.121975342753018,1.0152518615558859,0.9441736315174767,1.0240644331934594,0.9236118277634378,0.8997480633922431,0.8351138587613307,0.8520019725328467,0.8464404413563764,0.7286347094283996,0.730139241980422,0.7326844519026982,0.7494845508461359,0.6119876209350666,0.6731751436817422,0.7864651795012673,0.7257216435607423,0.6716135300171041,0.7319322887609995,0.868135583980323,0.7741612806428104,0.8089447278393053,0.8751815725527466,1.0284039787424117,1.1797771955631053,0.8940518696510243,0.754067376851506,0.7272878572084732,0.9775073182898498,0.8147507844236106,0.850587634219273,0.7973674293875798,0.6736683275235996,0.533184339787003,0.47742815650078796,0.4495836281997447,0.6175524466850572,0.6253793522124824,1.0333023074241574,1.5699262514478065,0.7800256363997488,1.0293282029035844,1.1663042377799313,0.7892947095179935,0.7027171618129717,1.7125382654041685,1.66306572007949,2.1474662159177775,3.259191700189163,4.23270932050262],[0.8953102650306122,0.632029479770182,0.6611559413782907,0.5331367315417654,0.5078319197235415,0.5178694725906537,0.5196717316585475,0.6306697684474222,0.5893137087911662,0.6315557559683499,0.7089616081777574,0.7999217638142352,0.752846158114882,0.7208694914788872,0.9922331049383404,0.9119376159449637,0.839485196956346,0.9153554617696905,0.9271714164421593,0.907752833081062,0.9404974690398937,0.9374573871413651,1.0429739515969807,1.1137905977852696,0.9382671918646289,0.9187622380311501,0.863181017947992,0.8243133066873237,0.8547140508381653,0.8769292279349731,0.9777709760656342,0.9546109007762721,1.0519964882458253,1.020753118534635,0.9753657993702992,0.9548064162246627,0.9386211292015375,0.9068746561089694,0.8400797607347288,0.8715025696594697,0.9348340217152924,0.875597357142352,0.9176245170630548,0.9335492088245277,1.0658243556932188,1.4405623742488882,1.346748019661604,1.0466553588449148,1.2781657625784804,1.232629434155435,1.124901152121628,3.055892147019224,1.9726542949637884,1.4051926276834812,1.4141814772877375,1.0384113038516296,1.4867168834059215,1.066883220450539,1.0892131249267272,1.1306961789871934,1.0449401575161679,1.3697933761800216,1.3374103006452822,1.202346044780692,1.0109298126775947,1.0032073796336747,1.1368746780239516,1.0296545500182455,1.0413597850937975,1.0085071104790861,1.1780562668921175,1.555229792675977,1.1890623312085211,1.2296572009360487,1.069233789879858,1.4012654075236657,1.0261761339143722,1.0696641264842914,1.0238613638330851,1.0062366566990428,1.0675578972696778,1.0452650075676382,1.4473844817493202,1.0986769748999359,0.9161606718330622,0.9323701798732459,0.9557581565047257,1.0490033125198355,0.969868590483238,1.0297788641870234,1.0321376284943857,1.1100380449387353,1.0940089350215085,1.0569012356066547,0.9937125518369087,1.0453410052879386,1.0863212047088269,1.0152523304023153,0.9906644085485034,1.275219930024879,1.037375023364051,0.9787527381847476,0.9391493146515238,0.9280592832354136,0.9084843881403449,0.8264115398118421,1.108838260507507,0.813537780490272,0.7702598257287673,0.9213912642674161,0.6882813317127232,0.6515264733991901,0.6081387200856897,0.6583625288797805,0.6951540158585604,0.6666198440945962,0.7461524661020249,0.7122470812439483,0.8322978830785338,0.8530297696090788,0.7892491228023507,0.6971835487766275,0.644751452352237,0.5836536281650504,0.5349671687051146,0.5361775795584823,0.5791276688038532,0.6358145012078118,0.6208064695698453,0.6726036277002799,0.585950166764189,0.7017573586310502,0.6358118418366886,0.7918818469633191,0.6857390749007136,0.6753264945763956,0.7469689162284567,0.7116864313087711,0.8543688940165901,0.7050927022598886,0.8417857013697527,0.7996010238305226,0.7671210476808518,0.7777697222354131,0.753635476226003,0.7885560834655658,0.7253314109279574,0.7835070391708718,0.7381933616890315,0.7168293711651709,0.739545266401913,0.7799863856294945,1.3803622612133881,1.8621183825486678,1.3564302509429211,1.025056855941487,0.8828210149299203,0.8522066794854873,0.8844903877732205,0.8340533173542001,0.7447407930759232,0.8170216768996954,0.7407101202478151,0.7920793450447631,0.8144420459845156,0.7840722780489914,0.7524747427395474,0.7917382263784126,0.8103831211514023,0.8332680057181373,0.7243552266196503,0.7125523671768664,0.7942957914527717,0.7681355865132297,0.8334824532707572,0.8984581471416367,0.9275973799420176,1.1786069983234446,0.9506772216861546,0.9556352347095446,0.8140718361466891,0.7755429316720972,0.7703044888718993,0.7620154475722541,0.7532402295134389,0.9632028889245924,1.0139755366476813,1.008485740585594,1.8704647824653824,0.8985622497531023,1.23213074118399,0.9311590701349085,0.8224974175292709,0.7633939863503435,0.6746540866595129,0.6914427789110875,0.7377758565365654,0.6288078223285045,0.61405300549786,0.634684444955459,0.6773296022669834,0.7446130412294372,0.6305677930297081,0.6419322266311184,0.7163421097974487,0.7070688725569356,0.7276788576498009,0.7495959868342673,0.827032894391334,0.7803044041155601,0.8271472717381335,0.8831510570716363,0.8853092556400789,0.8926711398584853,0.9759652034409612,0.9208172561389372,1.0835714529331304,0.9483807956777226,0.8363148982254102,0.8961782270488323,0.9348327314877587,2.4605219366479405,1.197853888891585,1.8453878185368027,1.1023474398978503,1.018505105732017,0.9937954131585617,1.0957669858372656,0.8879421000697088,0.7768777883871375,0.9557081170928016,0.85137076294377,0.8832226465374279,0.7427965961826113,1.083290864733937,0.7095504546870862,0.8404884559198232,0.9528557434281156,0.6846901230104756,0.7782842489370104,0.8476352872026942,0.9425771190908416,1.095096195787805,1.2507579584499295,1.2420133899660455,1.0288831624370671,1.0019831997260267,1.1546754791601126,1.0014110744134024,0.8610028678644962,1.0382840663475754,1.040597037091305,0.8664248197221462,0.991306611720774,1.1574680071547307,1.0572834943544025,1.0124865508043266,1.077852113247149,0.9849473974887473,0.9662121988954394,0.9151126845026052,0.9378368658368927,0.9264851012048024,0.8165959215260337,0.8229569132116491,0.8233231568959115,0.831814764658083,0.7089084272770185,0.7667712839338446,0.8468076513591966,0.7962888893573313,0.7218363021009855,0.7969940850019976,0.910565837988225,0.7908034744283289,0.8393529867943843,0.8919503970458764,1.0746233781447136,1.1932186507185794,0.9292167355925827,0.8154360902428427,0.8164078602383659,1.036051989536445,0.8572586337177525,0.86058825329408,0.81578000470859,0.7066758065852847,0.6073642520283157,0.6076032586638127,0.5699445890386223,0.681737320808151,0.7298056815022057,1.1190463545538718,1.5563961928571626,0.914389419583679,1.0998652190808431,1.2545009163332606,0.8570792789093165,0.7753993310608485,1.7996883897705447,1.8678001177758876,2.4198847065775038,3.6915179427030647,4.7538533873142095],[0.8534860277778006,0.6372532087242929,0.6886983889290882,0.5467257689779732,0.5420713778321434,0.534033063796248,0.5281614744529567,0.5881393818591072,0.5518585142263499,0.5775099604773193,0.6193150653319482,0.6503283911507164,0.6281289150221867,0.6575730150533643,0.8673472844042646,0.7597591723741306,0.7501338767083265,0.8111073548164244,0.8586757947761186,0.8112628575795846,0.8521284541705829,0.8285468810935077,0.9715057905381156,1.0668168419582447,0.8672214972414873,0.8590006612766189,0.7835927464344317,0.7455169898126313,0.7442955281442576,0.7459687428138206,0.7927542208101086,0.7523519470836944,0.8430039368553621,0.8038769634019581,0.7698554631876399,0.7704007430491717,0.781194141606456,0.7725199565657854,0.7276176724884328,0.7331605453455741,0.8343037239785108,0.7833830724460493,0.7963011848753787,0.850445173974046,1.0011628339976406,1.3893322464301618,1.2871878991536259,0.9842801613043123,1.2493009109248967,1.1927077819051002,1.0303010660847027,3.006171230607668,1.8799586745380354,1.2980982707611848,1.3281500855562671,0.9219318205203967,1.4042142059231253,0.9653240794179405,0.9734789793805079,1.0341926525016174,0.9531263658152052,1.2823767008726625,1.246631110216012,1.0965535860332465,0.8748867303902752,0.8505345131990312,1.0311298356318865,0.9068951636338202,0.9965086549667219,0.9171149288740362,1.131824252011575,1.5591472098316632,1.1162457832144206,1.136289462740249,0.9239010174109659,1.2671961840408754,0.8495761081069715,0.8463068158702568,0.8030107908480384,0.7964288294232696,0.8729483706724142,0.8947989233450611,1.3692679820376314,0.9999427835787075,0.810023126080038,0.8061053766850729,0.7984889242954865,0.8864841998096679,0.7720835176203761,0.8085124322587803,0.8259175203211713,0.9026250987397422,0.875038078018736,0.8223327857814078,0.782208734361181,0.8322432307444546,0.9066056921990039,0.790370585440994,0.7965001927420764,1.1575792954667425,0.8476700645956396,0.8553182332511952,0.7857293427405234,0.8243365615352422,0.818739079308652,0.7625711518912985,0.9965823270850064,0.7487605044003507,0.73793678263256,0.882688861704559,0.6551882520021725,0.6096102041677917,0.5739454577425599,0.645808370581095,0.6651358174213748,0.6539647775576726,0.7010324587522182,0.7035878626468001,0.8129042513983844,0.7893223653319015,0.7658601824092741,0.6643954438479611,0.6571280797275767,0.5973755945362926,0.5554618687258359,0.5544019475565628,0.6095874004182529,0.6220342789584168,0.6133796589506076,0.6356309757459263,0.5858133135395243,0.6641641314405622,0.6033283116824281,0.7380268529623456,0.6387042769831057,0.6360164074519155,0.7402918590198215,0.7003589065679652,0.8333444291679346,0.6872308430379289,0.8401174298930598,0.7676797343811583,0.7221593220178704,0.7555997718436412,0.7056172302589178,0.7272762910884925,0.6777677634440334,0.7001731689005842,0.6480524295978065,0.6297622999784434,0.684505811704432,0.7373818002941033,1.3024143340292704,1.941567882068204,1.4142097761142407,0.9305584814448191,0.7418002247291567,0.7567089285918038,0.7499819567232886,0.7362840601152304,0.6674620657348662,0.7045518705406877,0.6827754057136797,0.7229107744603961,0.7517597961239433,0.7461857397305387,0.6962741814637844,0.7592667749263045,0.7792522387849385,0.7992357792103056,0.6917497043380361,0.6801542731499688,0.7240798585922369,0.6927367231553379,0.7314090758539773,0.783257683989252,0.7868635248564831,1.0228452331884337,0.808768117874303,0.8428263224211705,0.732826739078126,0.6904036091459342,0.693831718368179,0.6973681826173367,0.6988561043408517,0.9160801589239294,0.9534955124330727,0.9999653303430395,1.8772862315067296,0.8829122428238889,1.1490044920786293,0.9449621575526999,0.7776301718539383,0.6996056365349602,0.6376135669703097,0.6836528026853805,0.7447373553980811,0.6324565544923993,0.6368343770601229,0.6556912020355455,0.6948229351519906,0.7606794133054942,0.6612098505956496,0.6763999973669395,0.7354504971474466,0.736770419952954,0.7702148422638767,0.7633276691850583,0.8391123750635586,0.7852972118019403,0.7998824391368498,0.8480235015853008,0.8595771969564789,0.8530331255632844,0.8921973267377554,0.8767056895369373,1.0324391657534373,0.9082529306129128,0.8154785730830417,0.8624760090685575,0.8911248897987479,2.487410624694879,1.1823918601531356,1.8144703643823739,1.0956463499966898,0.9803429474153291,0.9619195339472797,1.0552409648710075,0.8682747184582249,0.7569380315935641,0.9103946584254181,0.8504694685570559,0.8644752399606972,0.7219238771005473,1.0623215276937408,0.7263637218686916,0.8649464726674166,1.0317961660244666,0.7185568185506556,0.7555005209287593,0.8332059833400978,0.9139467622664312,1.0686655282785813,1.2713850186201319,1.20390733812696,0.9878553915159368,0.9873265982441296,1.137103717518737,0.9874405194605279,0.8641633793603731,1.0461339884664478,1.0625034357948537,0.8884275297811303,0.986260034175702,1.1528051470067302,1.0756156528768663,0.9984188009975975,1.0504378650655382,0.9676774753705347,0.9427911478639198,0.8958030508379988,0.9197173966526955,0.8957915314208186,0.8187683833666676,0.8161223411771599,0.8103545806964894,0.8268016853291872,0.7271664221942521,0.7619138769646293,0.8156214694937458,0.794283441053495,0.7578272285010168,0.8035891694982497,0.891084623035933,0.8246266591960221,0.8661571838987978,0.8987391397347466,1.1184092690872829,1.1517711420770655,0.9153438667434741,0.8123211471761698,0.7972635853485185,1.0012214801650956,0.8342506513085424,0.8425945956679346,0.8300326765252647,0.7267845275514597,0.6372503503977894,0.6432684510323892,0.6113058023313658,0.7162594929699675,0.6994850012611298,1.049251340742309,1.592267412199074,0.9470121065041139,1.05854430078018,1.31107680185007,0.852181896234202,0.7447644374086221,1.6997021528707679,2.0533102278791575,2.959624503986303,4.343183849064352,5.245422327199158],[1.0808371913687767,0.8661503677043035,0.9031671717790706,0.7746102205087025,0.7679831744247895,0.7583075112587637,0.725975469458344,0.7631968604858526,0.7602346770787303,0.7631716243894876,0.8030117371017638,0.8147633998694573,0.82126251279124,0.8340295404227571,1.0668196917454063,0.968368150049769,0.9312545188047097,0.995093090438739,1.0186456897964429,0.98625508787896,1.01538252123003,1.0199371695913282,1.1094729189433274,1.18886492160113,1.02601246491275,1.009288645948925,0.9638937303970941,0.9353763445893204,0.9403461717027424,0.9463518623354221,1.0199906948172845,0.9654471387045139,1.0569305898503012,1.0330786176201692,0.9915547502096953,0.9933743518452368,0.9719429877193004,0.9715994631121102,0.9200026872038944,0.9337525681003533,1.0107996535611057,0.9469765771325623,0.9845365901238337,0.9929781462125011,1.087204106507005,1.4336002021663414,1.3628814827041345,1.0897463028478431,1.3413192987604614,1.2766486103871675,1.1836143301717608,3.1371123269488694,2.0619151323289895,1.498184805519325,1.415548032159003,1.1065984132247644,1.5743288152790302,1.1675155984233683,1.148412204169271,1.1788483090616637,1.092773687278053,1.4077235818920852,1.3528541137853574,1.2417873363708654,1.064666031213022,1.0400334336450376,1.1882411526704542,1.0968183898594819,1.1016435922323544,1.0831074116735282,1.2045467490364734,1.6176265937655203,1.2818895924630627,1.2837590852606247,1.1368005848266287,1.428892133367864,1.0591871804533253,1.0890251357041816,1.030981529028331,1.0216500007235154,1.05398638803291,1.0677114110481365,1.4717159670065052,1.1426959425602001,0.9749055482790819,0.9865701452198294,0.9944493327635798,1.0820440929285169,1.002093076119361,1.0163829278969616,1.0550152813230111,1.1073908628885436,1.1040629720251636,1.0629359018026403,1.0275660404996187,1.0777519325774985,1.1588634286837758,1.023972944149962,0.9665182702579945,1.2272825167918961,0.9945936541077516,0.9657430164179716,0.9361769153290684,0.9387997659551307,0.9330016495892554,0.8805997564535507,1.1142523037205132,0.906781770592803,0.888256934183894,1.0001574873028503,0.8117518938816298,0.789434650370851,0.7619722009279108,0.8258195020474662,0.8209578827161789,0.8192640709721152,0.8852651219345815,0.8610188083732622,0.9327446559230572,0.971015685964927,0.885300364078932,0.8184968601523597,0.7989933450228266,0.7601518849012192,0.7387207474364864,0.7440358720272834,0.7843115567569172,0.8183207110804743,0.7815362224025582,0.8012669763254447,0.7810895818462466,0.8388591666737278,0.7877275088455471,0.8744382073669359,0.8375018350317266,0.8376880943568659,0.8900371251225546,0.8952062666796016,1.0188897254588636,0.8850323830326792,0.9814668124789879,0.930687410138443,0.8932169270225994,0.9038969119373316,0.8729137048739204,0.8948232321863169,0.8478736793800958,0.8677525318694417,0.8274385000874755,0.8033625011664749,0.81584039310786,0.8441518162146879,1.4074052415605582,1.973477369519137,1.3437359931236015,1.0112917723608879,0.8878852731519867,0.881288984453947,0.9182994810393369,0.8844346237817836,0.8542751085004177,0.9026200127651252,0.8650139727530097,0.8982990312498206,0.9418778240167608,0.9359120630238884,0.8875013885397343,0.9282635750467502,0.9526152710239133,0.9636905755856229,0.869359477715912,0.8792464296016153,0.9190596010823391,0.8747873202533141,0.9070041961170335,0.9443050287279393,0.9679872428236966,1.1652009164275046,0.980489701009692,0.9985570250365344,0.9088186365850556,0.8510098463156676,0.8653311863241313,0.8719291653139477,0.8692727935394224,1.0604660939055828,1.0677696626892887,1.0929556673994065,1.890350321369213,0.9828317673056819,1.3393614412309687,1.0061679199929228,0.9394493057384687,0.8868729360597197,0.8264165996648943,0.8805933272435725,0.9091637993264661,0.8159375781332886,0.8330687170960549,0.845289530478655,0.8944905674716274,0.9489851976875316,0.852517079219917,0.8830064951457457,0.9479526907801975,0.9464079139256867,0.972608398446573,0.9891268534078635,1.0453520829203395,1.0208080356312477,1.0420722344806128,1.0945295816487801,1.1032967701978729,1.1059528195335555,1.14781212614949,1.0918083764021962,1.2472612941488903,1.0842643332077384,1.033817279507024,1.0901366218756878,1.1051182922910354,2.629767367164426,1.3425979195127669,1.9179147831174164,1.25024044568238,1.162737827508361,1.1245744150220305,1.2336349602123144,1.0443706904188133,0.9622191409340866,1.1107001703519548,1.0542979615373473,1.0529033941132848,0.9311154624959425,1.1989453331344686,0.8779139904995271,0.996276224803089,1.1078440304133528,0.8938072785186292,0.9305402822719208,0.994795641181313,1.0916658840048596,1.1946901369512788,1.3926399059774062,1.3211725440451814,1.1297319107788697,1.130975265028159,1.2487543216746007,1.1302322251636725,1.0408598867278218,1.19367391561738,1.2010199524610288,1.0767890784309353,1.169538796638414,1.3083468144268517,1.2648938492216795,1.225139021329451,1.2669546686855275,1.1875236424541558,1.1458320886047266,1.0915162169332862,1.123306534781699,1.1203850336782402,1.0378438631532059,1.0146779738347793,1.025501968016201,1.0444570710869485,0.9490569218234042,0.9689734553109746,1.0225107075157054,0.9839214659424889,0.9355043330398297,1.0243338286539692,1.0499285488938563,1.007811801306875,1.0450117582711898,1.0672864462645455,1.2730601538223996,1.2889102500294316,1.0899656326002698,0.9891236523480226,1.0204698842635038,1.1834399540473615,1.0366267245114709,1.0232107289689811,1.005397426336882,0.9181035386655183,0.8394463688188537,0.8292827604973221,0.7730045511118564,0.901072233183273,0.9116187782110304,1.2527845421259576,1.6227232858611373,1.1168384985063173,1.259703244899164,1.47275747629264,1.0156542444324692,0.9782335023603753,1.8589145629618322,2.2284452664678374,3.0574443283332333,4.552988469696283,5.549353825862705],[1.2507819947680452,1.052183500659492,1.1041776490635382,0.9384390800756282,0.9754966496422047,0.9509864857144836,0.9259484244189541,0.9776683544247358,0.9880100722134967,1.038282760231117,1.1116862526668596,1.1184743409002158,1.146863843969977,1.2083890597715778,1.4966560901869679,1.3826392431505923,1.3343773851485092,1.4572716085815196,1.5089560947082135,1.4504804876672488,1.522454211270075,1.5243483798757778,1.5813171675576019,1.6275355661576185,1.4727166167267702,1.4638389257302007,1.39391619136178,1.3421886265750325,1.3581126952641,1.3213435481786648,1.482503862534693,1.3221485024009219,1.384159264011483,1.4330006146615324,1.3757284938502343,1.4124070744961164,1.329704021318905,1.3624522046986718,1.305791619545724,1.2770427485681661,1.372744926422131,1.3710805468737206,1.4206418376410845,1.3998474026003995,1.424914128704454,1.661282725088401,1.607757739436157,1.473644361639528,1.6005548917132415,1.5473178839973663,1.5142240443046409,3.3032163622398394,2.296510740777115,1.7858475462110268,1.657406020572981,1.4810094638021316,1.9252774516695454,1.5854063080195555,1.4387148107928123,1.555377901505976,1.5445751158568493,1.7965579681936634,1.7429953003013214,1.7432768374224494,1.5786055187320636,1.519632129252906,1.715380362942082,1.6188910681583593,1.599407494644765,1.6021700560489638,1.718347873611303,2.159354686283299,1.8061500262937038,1.800828800850695,1.659599071988116,1.764198361900038,1.5627254257681407,1.5418222313972987,1.4667702056459,1.4294906609830091,1.4229377945282409,1.3949025158800243,1.6611822179873847,1.3798523182569493,1.298936900125963,1.309501707478091,1.377661572756122,1.428759487502065,1.4304411210485315,1.436705410191576,1.5351639687541163,1.597252005330591,1.6240154951674357,1.5247154292086034,1.488479653476139,1.5822514559794891,1.6234704910452884,1.39184713975716,1.286147751315144,1.3827147173832195,1.2664865023467164,1.2063153976844194,1.2062514727812086,1.1807698548678998,1.1960972903091949,1.1434077191959517,1.347958609103762,1.1700145253812997,1.1511852242549767,1.231471608984237,1.0642492894744293,1.0240393426573022,0.9886976220070234,1.08279704086362,1.1338268188910514,1.1407160262103921,1.2636678762433093,1.2626942545074376,1.427543789106362,1.4322066597062701,1.316616967055501,1.2330879464350188,1.1475922403058227,1.0521492560174959,0.9722435936683852,0.9910939098497982,0.997077195683067,1.0555597602594202,1.0197370313879675,1.057910483985592,1.0303627864350482,1.0641741209744253,1.0623592690355848,1.1289509813483634,1.1030929364220532,1.091966013096304,1.125590080699077,1.1425451492135883,1.2886770362680744,1.1757140725105732,1.297428779627332,1.2752891331461431,1.2661337344427601,1.245266538046381,1.2599403783637904,1.249465004357419,1.1941918981502602,1.1890850958062644,1.0928188063663118,1.051811706799382,1.0547897418854644,1.056566561576232,1.5093804614574784,1.9927671721769225,1.3747998628899594,1.2142465213067708,1.1437462003212646,1.1147401109430894,1.1806982175483571,1.1364802361663229,1.126384835180078,1.2238448545231455,1.187675800912752,1.2141999908936856,1.2352980590609957,1.2127012964537847,1.1737395304176699,1.1943154131332332,1.2186607549518305,1.216014917853814,1.14820556193875,1.1571207210567585,1.2076598304081705,1.1612586499812485,1.1919778197011504,1.2008430322903947,1.2355036632635703,1.4006003478337579,1.2657986599281337,1.2488076258856795,1.176925157615932,1.1180716431709852,1.141391762537099,1.1633293411910934,1.168831449245003,1.2998535014286503,1.3176163429168086,1.4238555341260897,1.9699642294391806,1.2513098812610308,1.5658443407334532,1.2387333570308774,1.204554449467073,1.1701686644046136,1.1127080060440808,1.1566852418588245,1.1481429262029674,1.0665753571033938,1.084652315318436,1.106660742986487,1.1956026173482195,1.2518747333198232,1.135669811613299,1.1571244733867614,1.2607010445630358,1.2466634825019185,1.208045841336225,1.2720319995359914,1.3740842108429268,1.296053420118083,1.3044948319381682,1.404566539107853,1.4149661823892679,1.3415274226254232,1.4088720483669452,1.3325056657664198,1.5314797264712896,1.3229435363792146,1.3138969767765085,1.406569397273389,1.4355705207823928,2.831723197964731,1.6342337645062779,2.1893792315654754,1.5513690670431395,1.496827065448619,1.4343459179222744,1.5272852699096984,1.3575419598407066,1.2761419544409376,1.4049949464363534,1.3320879554113683,1.27227133305359,1.1980102744885053,1.485063444349682,1.1423870247499675,1.2126207414267192,1.3057917834719044,1.1307131152848695,1.2083027540869336,1.2694478217490766,1.388581088729327,1.4828284385544814,1.6707820093452648,1.6010316193951313,1.425820859571596,1.4584918816461088,1.5539988428703322,1.4252889319578392,1.3745051411202005,1.5314994835083084,1.532787927646646,1.42552286080529,1.5457994575766105,1.6869461328353532,1.6347209142605739,1.5951522913418437,1.6633357061809535,1.542197170277484,1.5239427584219505,1.4517362636319153,1.493264928944419,1.4878128530093184,1.3589898289885094,1.3287135641770476,1.345613315300284,1.3446861276320217,1.2414851987497415,1.2698920066755488,1.3014962682470097,1.2351205794365192,1.1832919801448307,1.2851184606949093,1.2858989285877933,1.2455732396928785,1.257944274415242,1.267919720936481,1.4385880736786485,1.4572853855049925,1.2687246212147465,1.2165379328665096,1.2286326536111565,1.3235665617548116,1.2076770390994054,1.1833160099445785,1.1557591886863328,1.1091654198042633,1.0347429337605767,1.0606487366399184,0.9835852139341863,1.1034154022687397,1.1788767951839343,1.495045305744248,1.750197437101646,1.364825327219148,1.4780163179538728,1.6904651889217237,1.2156471340142605,1.2018554374416301,2.0403539014739285,2.417780879762567,3.115799664403289,4.6919003668256165,5.764058610375346],[0.9142288936951734,0.6855425102445416,0.7668276961522515,0.6374893843784546,0.6569750206752879,0.6471867199907794,0.6674612551383062,0.7196154148003494,0.7179038621165996,0.7828570710707415,0.8264838453307152,0.8451170892873765,0.8434724752075798,0.8997424248628298,1.1183994845535254,1.0192288728275898,0.9986214418984529,1.076428493412241,1.1372907368125256,1.0765171568142649,1.1176225211667548,1.1056192785390317,1.2041188289176716,1.24361351909376,1.1163610698689197,1.1158316806165112,1.036887266633401,1.0024178080550943,1.003990785866253,0.9882853557837037,1.0574769281234442,0.982645623250967,1.0409287343546862,1.0384607713556655,1.0118567718845606,1.0320320413202797,1.0226008913734603,1.0361301145123951,0.985061643523265,0.9752680419422588,1.0779778274605634,1.0397658586293572,1.0602309185656908,1.0839313307856102,1.181814877679801,1.50753432408804,1.4248956517858273,1.162139095470143,1.4008920878228857,1.3339527508978368,1.1985761267586703,3.1124722464114316,2.02459456160202,1.507056412567594,1.5164071965283705,1.1824227243273355,1.606557356311566,1.2659651920374155,1.1700980219824502,1.2537911650742,1.1886451729804084,1.4684477787220083,1.4355944370934928,1.3165722952285561,1.1326050768732672,1.1010453523787915,1.261497230444514,1.1518284316481544,1.2168928716859162,1.163338702518443,1.3607101755956812,1.7844946468341416,1.3325851821463583,1.3778163922643882,1.195455414181214,1.4602519036144197,1.1235374072113016,1.1095770873496555,1.0595178730247283,1.0523898684040136,1.109918135808216,1.123164534908941,1.5167783232148568,1.2222934822409905,1.0195668100350466,1.0235756663486337,1.0533973847652758,1.1203113018235582,1.0356603194229108,1.0472742349390742,1.0858435100265538,1.1523923076582636,1.1384278677640383,1.0701501451750706,1.03781925361969,1.086352928466076,1.14121018855435,1.0055428795777122,0.9756031156409581,1.2471611861507814,1.0090617616302346,0.9911438317766263,0.9585751600627965,0.9478519168472855,0.9661829928746668,0.8869449401098866,1.094658765119758,0.8850071277652725,0.8573374011116462,0.9848419626307131,0.7678821739476618,0.7699052723351388,0.7321131843840639,0.8295172401370126,0.8727849408558287,0.8757487769668931,0.9611438536319084,0.9726775309255663,1.0861369169401887,1.0386706206833873,1.0352065113096434,0.9308887025647639,0.9057285044849273,0.8211196837222541,0.7406274711935439,0.7410393900155778,0.7177360826754609,0.7917232316759998,0.7500522341069301,0.7869403853443505,0.7417072850483599,0.8036897814019294,0.7620408644479978,0.8725604187099566,0.8256315080611989,0.8327213919618858,0.8723573893067573,0.8909822096874205,1.027814571275237,0.9100456925405898,1.057000602620886,1.007460296441543,0.9734908549130893,0.9535209043814017,0.955119885740298,0.9637429609646541,0.9051628757277802,0.8997862962888292,0.8329144314757227,0.7914402427275767,0.809775931985138,0.8352973141356576,1.3647561305929572,1.937579332186288,1.34403369068954,1.0311960359013101,0.8853111121130897,0.8775813549031185,0.9147593739071387,0.8870728806487053,0.863188346590075,0.9324823290075869,0.9038036523675133,0.937085709019554,0.9435892875636608,0.9634442003474716,0.9084177871992117,0.9435192624374974,0.9651990391435482,0.9762179902901462,0.8751850065115906,0.8953691125974741,0.9247379596586704,0.9012718755223704,0.939426755535922,0.9751176246152998,0.9931534187712576,1.1932267347159047,1.01329724294912,1.0225614727639145,0.9405286668834075,0.8535918721845039,0.8715320449934255,0.8854797592875258,0.9015077016629289,1.0888225299919865,1.1047617862859926,1.1804930717169,1.9246001787990723,1.0571463526639653,1.3332125920445956,1.0744493448678951,0.9636448476101372,0.8791628967736758,0.7966076709436293,0.8270026111961416,0.8788893386886244,0.7611161841849159,0.7473699793318369,0.7701875172689608,0.803725947560915,0.8672501149479599,0.7709002539138726,0.7780577653036692,0.8393034987382274,0.8352772892808981,0.8478835728781797,0.8564544271242778,0.9359829134444728,0.8736545796043689,0.8845861533325353,0.9567664298450427,0.9654182459456345,0.93372088909798,0.9897483265303482,0.933552410600208,1.111625295071499,0.9453410942974664,0.8874609134368764,0.9527149705811849,0.9890773741214502,2.5741617602092672,1.2516268094296714,1.874214855025976,1.1959432411533728,1.1033414533368198,1.0656998775818576,1.1888336318181743,0.9693659118201547,0.8798837626113271,1.0508649595844337,0.9835269905384908,0.9769664411760478,0.8510714178318838,1.179985447424421,0.7908889638175272,0.8900923972948955,1.0841100646810187,0.8038377634302871,0.859242972887599,0.9439920636948442,1.0385413179941334,1.1772016066036095,1.3528400292438245,1.312351975888935,1.090795320910708,1.085196130524022,1.2281193505440031,1.080520455234441,0.9667038414807814,1.132107129447911,1.1353633245732084,0.9823741802803025,1.0965517311048265,1.2505496229450723,1.170718390553064,1.1248114179545314,1.1838902016886084,1.0867787475621413,1.0694482817571065,1.0263013060850004,1.063719619836876,1.0265187093841321,0.9211510318348877,0.9270484439475217,0.9174350699203455,0.9197492222577257,0.8278878775959699,0.8739045730630759,0.9098435037242123,0.8566359593012761,0.8251182447667397,0.9130431368627292,0.9453672908569571,0.8899626360449762,0.9213147089731101,0.9488410045424547,1.1530081465133528,1.1744523393716233,0.9689898479476552,0.86048500311263,0.8798349139849813,1.088491035889471,0.9243885962324483,0.9276371254696437,0.909584190759023,0.8117645764660355,0.7344631978380008,0.7486917608074897,0.7096572337151051,0.7936393144616624,0.8289802074529768,1.1757470068887685,1.6025116074841723,1.0594529750103348,1.1640915486092551,1.412284015352004,0.9303647565549715,0.8278780565952208,1.814383823526751,2.13703163174586,2.8991771521081717,4.387164915731718,5.392641722417001],[1.0678164617593262,0.7864661586463121,0.7711500664165141,0.6286305158833141,0.634361283677809,0.664463058140686,0.6277505855842003,0.7290153434447468,0.6482510291079663,0.6565502984749776,0.7109245468857909,0.7959745711546031,0.7602300883263166,0.7364461816749429,1.0040168121545952,0.933210390480149,0.8610982828806845,0.9691173501849841,1.0045344069648212,0.9794437816948606,1.0232063491521821,1.0215412023729031,1.1207492939258168,1.1557928234064452,0.9808360342192588,0.9654599996095168,0.8995982159658762,0.8557596203728383,0.8916326686864386,0.9088360997124132,1.015971333167474,0.971719626428762,1.0950905053198228,1.087851514013735,1.0255516483117717,0.9934012794759768,0.9890598999293171,0.9505277270549539,0.8881839072241311,0.9024597690940551,0.9620164980780556,0.9517907022666401,0.9923032826090372,0.9883654192203223,1.076786961264109,1.4100930637218851,1.335665383461186,1.0871566139656166,1.2680172167416637,1.2424718784600508,1.1464673026193863,3.0647477113333546,2.0104942682786664,1.4399682147479516,1.4552953205509485,1.1411594424321634,1.5624138719225837,1.2089383685246604,1.1590976324331943,1.2120603612600866,1.1539841436217086,1.4679171639205442,1.4523802771391392,1.319411268241462,1.0953171999828,1.070040993474428,1.2303168940249216,1.0979892302510808,1.1487287117980696,1.0790170794339131,1.2670195501950707,1.7231408847002412,1.2799426806518237,1.3437747725135007,1.1569522410685076,1.4642741277799125,1.125568441424716,1.1605005690164636,1.0818583075379544,1.0623004948278627,1.1206507696070673,1.1000760532143765,1.5081368937118764,1.2141870809762303,0.9640708650446258,0.9872373985599316,1.008664586281907,1.109834261359928,1.0164674969621543,1.1014693063193841,1.1083198159139804,1.19423710004192,1.1744990365682562,1.1176062735634817,1.030275438110677,1.098127428965126,1.0774639566165942,1.0111273384140977,0.9858762937694053,1.314360626128829,1.0661368684953638,1.041844103750296,0.9922787687085282,1.0089274666492785,1.0041458973421036,0.9098738733622184,1.1939522125097197,0.9059510094136299,0.8549795332954003,0.9824376667684361,0.7758246217840667,0.7292260771383373,0.6724525808167114,0.7207667398567089,0.7365983385830439,0.712786228537125,0.7857890392039066,0.7701310433758333,0.9220188595714064,0.8828292034670013,0.861863383735107,0.7499794009029095,0.7086157600759291,0.6442540950742855,0.6151686012887634,0.6074557533341679,0.6786073244742052,0.7231723686666597,0.7236840257059874,0.7832228189292169,0.7204632842329614,0.8216270857178983,0.7468231992073074,0.8978380296261415,0.75223034043425,0.7368853782801352,0.7706408326361313,0.7380562367193273,0.8671337402422177,0.7344501501295551,0.8772460665599586,0.8516956057236353,0.8041526872678816,0.8011784403111593,0.8026417017396549,0.8312926275977536,0.7631310796974131,0.7933612830787784,0.7689858148033579,0.7520262840874186,0.8091389230108984,0.832569000493735,1.3667891357067605,1.847575015912644,1.2909149368701704,1.0540548830822527,0.9006312871181384,0.9074672450280733,0.8973979469853768,0.8982955902293891,0.7977178266645556,0.8528187323943223,0.7645805340386036,0.8214682404530285,0.8450790888598593,0.8210131573127524,0.7862423882818729,0.8189935860361709,0.8370866155676575,0.852441326805615,0.7659203439671521,0.7578882915718671,0.8282974261207533,0.8236004848526347,0.8861298811573847,0.9622677151052019,0.9703563055288222,1.2140415961742157,0.9903005381765267,1.0140444536855413,0.8761289852592488,0.8494628775950017,0.8588351296676745,0.8484153970080704,0.8389773235501647,1.0106802173082792,1.0268107734418883,1.0691465416735535,1.8358251009989641,0.9451317812773511,1.2764382841167208,0.9559636853322863,0.8670736485551389,0.8098704202533044,0.7772164379696972,0.8257167946223732,0.8438002972644161,0.7640584711407057,0.7627705637624522,0.7877761513317847,0.8559334501384284,0.9183836090689561,0.7934366927021168,0.8078937043855946,0.9083446045817025,0.8908242494752356,0.8595515480460512,0.9173556020292194,1.0228103575324516,0.9409222822038762,0.9677549287542148,1.0558085342378718,1.0513551749299415,1.0287433606651992,1.1050100693542153,1.0377137955273363,1.2765912866651925,1.0811376690719168,0.9826115369218257,1.0689826443316524,1.0993951193330365,2.593893192787931,1.3588123125682958,1.9311794360011747,1.2464101337968898,1.2019411794744814,1.1809790604111274,1.2819002703140396,1.0818898210576813,0.9770078059324933,1.140272670741598,1.054136986078866,1.0279205879207651,0.9125700499513036,1.2324599171697639,0.8523970791695027,0.957788876212749,1.0420784819132,0.8232529859199089,0.9020880702056973,1.0085652807338763,1.1411612107201135,1.2701170360815905,1.39667830206524,1.3905488639449142,1.2043484394155708,1.1996371491475812,1.3320825463696369,1.1619622119681612,1.0482348490169464,1.2192937066548815,1.2082769619187694,1.0505672972386502,1.1943319327125401,1.3323784752637478,1.2323696539392284,1.2117197016040788,1.2764019736303547,1.1953281750870024,1.1803052073720264,1.1231518324689358,1.1600348924041353,1.1350973673165679,1.0047766887428393,1.0293326839094834,1.000814533793961,0.9850208730938679,0.8874834801689204,0.9502218203107895,0.9976611022190349,0.9232757461267884,0.8919602511013318,0.958470499789401,1.002216940305547,0.9186956958711466,0.9539364384200594,0.9974235371412342,1.126762251681758,1.3116816871100305,1.027379540823795,0.9208445917785295,0.9319378489800616,1.0941481373045416,0.9505081517240684,0.9488313217096447,0.9102500163959386,0.8446559961990143,0.7451965544240069,0.7430265340963877,0.6743829722516597,0.844154958020912,0.879041320479309,1.2488297215219895,1.631501986932705,1.0234434836388246,1.226803104857689,1.3877728269600866,0.9313111434983982,0.9176934037126897,1.913917507420541,1.9719337190766864,2.434421845263278,3.777141400715867,4.857649272151358],[0.8274031659034052,0.6109695159474854,0.6354326443339035,0.5475412024575388,0.5112143508989199,0.5284397018727934,0.4724539342452978,0.5223977986373435,0.48788187393614546,0.5066348284846942,0.5540606930825706,0.6316086564741689,0.5687395427212691,0.578268336496951,0.777982060432053,0.7247781741992357,0.6857470264342865,0.7675993320807808,0.8329712437759821,0.7785046672495624,0.8320866631327531,0.8109430807255698,0.9696660938155004,1.0571063555017892,0.8458561171918024,0.8372848365759182,0.7391680931205545,0.6888810194782339,0.7038403487777125,0.7209685892837263,0.7795491453193479,0.7586644499201719,0.8914614940943248,0.8420430092981073,0.7870031618748428,0.7618503182744818,0.7774900345042587,0.7362601775147635,0.7006628264548556,0.7068998886952169,0.7720115102653428,0.7455343101238676,0.7529085764975395,0.8155223915761505,0.9927904892343158,1.3436532508948906,1.267361468401387,0.9663932552887344,1.2137282719902076,1.1464839398359807,0.9968052043694606,3.0199785093445994,1.8764279214219157,1.3001975553044307,1.3360499371820826,0.9662643553048069,1.4276080516674767,1.0207882763093894,0.9437279666466012,1.0647613981701474,0.9696116362465538,1.3021002175334246,1.3152985499709884,1.1760393858267457,0.8891935871599679,0.8786058090544726,1.0433574170487652,0.9014657367986578,1.035865527086784,0.8987722276531761,1.1064146954505794,1.556702450559418,1.0867771276228264,1.1775591507987033,0.9254100999965726,1.3089001107240292,0.8898378964847717,0.8851520296535129,0.8313316904511342,0.8097078159888851,0.883656538876816,0.8903704003023164,1.352943216137031,0.9942512324324433,0.8037265491372039,0.7862733837376465,0.7749813399498866,0.9027865476884226,0.7783731721304168,0.8377365137147065,0.8519040197847593,0.9489295116045622,0.8947326865644832,0.8563057878986245,0.773388518730684,0.823331347008876,0.8792331789347323,0.7956370936408236,0.7969194754255148,1.1781655339052348,0.8616805992898567,0.8865475055040098,0.7979052442631166,0.8137522706026867,0.8027134578053698,0.7362770756329414,0.983722174345001,0.715509936365539,0.6935625530843103,0.858814529773751,0.6214982406054431,0.5571351056469173,0.5132538486654328,0.5826136862076379,0.6019418791160023,0.5972837559482645,0.6542771062674785,0.6747263340224431,0.834238168685666,0.7583346265646881,0.7280948067430372,0.6307422761990324,0.6301230547159485,0.5575753015607685,0.5103520218096492,0.5182019764635465,0.5602089750965368,0.5684427673148278,0.5553490618304129,0.5830243066899503,0.5384538459786549,0.6251235208163918,0.5542595683569509,0.6763437565776863,0.5988779908980228,0.5938185186398921,0.733871962249977,0.6669641059816708,0.7955110947842863,0.643437614202247,0.856241486895542,0.8055720325120145,0.6841215297578394,0.7039581161195019,0.6478809236782317,0.6673821522131383,0.6113015288161339,0.6494991149930781,0.6033528488840301,0.5868365756705988,0.6585586529771066,0.7354171002664841,1.323240212396452,1.9402455491711461,1.3498166832618073,0.9265312336716534,0.7316537209308323,0.7429470833801628,0.7402292292716169,0.7056096521335792,0.626574156239829,0.6581657321587803,0.6245902642242406,0.6536207591753297,0.6605162023181597,0.7243104051031147,0.6726428106594157,0.7511640478291618,0.7706207165186502,0.7883127201342134,0.6606910278777834,0.6414020356314953,0.6687279716272518,0.6545567390808206,0.6957202591387321,0.7622872184835039,0.7709466299057053,1.0111602231154955,0.7854841123135374,0.8356824632421332,0.6958031361426816,0.6456906463424189,0.6446130106695153,0.6437216480932411,0.6483450330988797,0.8839155965688763,0.9055767028099152,0.9735125498482876,1.8315006436748094,0.8579395608061029,1.1283772526235345,0.9244692692104349,0.7487365257256337,0.6682104424519443,0.5916972533222984,0.6147970484189328,0.6881105610800329,0.5723190566667175,0.590834458157957,0.6274890660194093,0.6616866211515869,0.7316085543020477,0.6255761763986432,0.6425401600208817,0.7105689587479126,0.70870278277173,0.7408568408715468,0.7230083228810683,0.803098035193105,0.7438710253405071,0.7715814885999501,0.8305273584906848,0.8330012486911537,0.8457752575128474,0.9004479260898061,0.8708460110620954,1.010411813043929,0.9206761340603322,0.7838533295753375,0.846147677593838,0.8764734172730893,2.364233144481025,1.1657536712839778,1.8382282799437841,1.0958256516666915,0.9743755782978312,0.9325274924130311,1.0185632363394541,0.8318121314445984,0.723087976522684,0.8858759784387447,0.8105020442571578,0.8604103705973166,0.7094512815410725,1.0476759600380876,0.6950881142926364,0.8231129045759427,1.009847079298921,0.6951983582558687,0.7189493540423796,0.8019592474653161,0.8909107985445254,1.0562728102135694,1.245167321538086,1.2158254126285049,0.9786034681614088,0.9668281321899119,1.1210267236959583,0.9756585695274907,0.8454430341464455,1.0436265589279379,1.0593908779870256,0.8618731214153887,0.9821582024464428,1.154679897745127,1.0505606707529118,0.9784846469113834,1.0506802496149654,0.9608291498212607,0.9394441464202512,0.8807150559015106,0.9076825721296963,0.8869244960162576,0.7824253051516218,0.7866154097996921,0.7793477975545803,0.7978445601794647,0.6883071582281285,0.7295191790633787,0.8172923128146563,0.7791797801154764,0.7357780696810917,0.7925687735935956,0.9223560376035106,0.8589273782000084,0.8829532721626879,0.9184279960066931,1.0966092105313887,1.1909399402858953,0.9296777280524545,0.8039783372990427,0.7762865852833272,1.0205000025843403,0.8542688951451255,0.8850055760721163,0.8492951135852154,0.7291910689862746,0.6215788167367132,0.5987747666871139,0.5756710197137814,0.7089114045438968,0.697667168672124,1.0883418055723622,1.630391160548636,0.9045694583881899,1.0784870056680222,1.2786061512971985,0.8581455390889687,0.7577844113890541,1.7365829238157704,1.8533072011727934,2.4779818164790877,3.7194202832104155,4.651377624921435],[1.0200367527590286,0.8380243585892144,0.862975261828289,0.7198375657772337,0.7665563315134585,0.820550242818561,0.8080983803014428,0.9302004671915335,0.858446345649908,0.8361096105732213,0.8933869049248312,1.0439148485205505,0.940680618530693,0.8896085783722869,1.098280900888271,1.1017910076777255,1.0264462754999237,1.0858480220923985,1.1222816311413928,1.0834278938139916,1.1351173211184504,1.119172081331579,1.242143375670123,1.3132577870877713,1.116949255784728,1.1190325429508658,1.0350135715770565,1.0106276630944715,1.0505359432537602,1.1074398497229057,1.1698615615726486,1.2055358072711861,1.3343793292370925,1.2844319466864937,1.231582788408724,1.1589566350263143,1.1753299550460201,1.0765191356485664,1.046989110835239,1.0727382668666916,1.0834480570470288,1.0782876351840507,1.0855730946493451,1.1380966411107554,1.278315892568588,1.5450347147419006,1.465970793613005,1.2851152670967634,1.4337290916285792,1.3883828128526376,1.2591946242021754,3.009769296960722,1.9555862160615334,1.4776083865521752,1.5681338204050057,1.2569140438982178,1.6085830271711592,1.2836606248871454,1.2278624457721645,1.3127655653063115,1.1993744582214838,1.5275902721313617,1.55079724774708,1.4777160646965108,1.201173270422364,1.2360865475803955,1.339685585120022,1.1969716540898254,1.3343925670810282,1.163483269058645,1.3442887398772891,1.6881675432640677,1.3385551451663096,1.448046389904537,1.2445415705462575,1.6273788514906888,1.2519371791238403,1.3087807885083669,1.250682505163745,1.2473040818760566,1.2853205632027886,1.2632531821481088,1.491980657229208,1.247532717805047,1.1577987172895752,1.1641374171466279,1.1580091940428834,1.2790320188401167,1.1837743639580884,1.2892960776169657,1.2479356373395147,1.3409995777352544,1.2834083243389212,1.2753377801872143,1.1969568052540462,1.2262816955705411,1.1998667323928351,1.2451060623729826,1.2458422641246008,1.599175733196515,1.335329733341284,1.3481102594168541,1.2827401736837079,1.2455658684049111,1.2320052329630073,1.125212624275338,1.3739201745591754,1.1109936219103143,1.0620189131830742,1.2500591186358625,1.0024640040220107,0.9464296408908313,0.8943410503939483,0.8866067984204837,0.8926449672004235,0.8791533372032468,0.9325712885156072,0.9212459502505286,1.128065643092339,1.093862277398409,0.9821984446495282,0.9111886425661394,0.8355613487986595,0.7803707457714888,0.7679209335217553,0.8055894896118201,0.8807992739661912,0.8864326320515884,0.9136978560883016,0.9872649966098925,0.9087926120224888,1.0195060396209201,0.9283330109707063,1.0764501721478563,0.9443001259038263,0.9224122932844618,0.9231525327733437,0.8732740119911063,0.9560348133964458,0.8797776751812595,1.0212798510817018,1.0399802784307606,1.0011178927608697,0.9586136691514682,0.9671998614037745,1.019649727487357,0.938954960170415,0.9776423209479682,0.9947478319904295,0.9936146495297806,1.0896233230408574,1.1750083794152997,1.6895783774097415,2.102910086232907,1.7028862676087206,1.393551606523239,1.1772505163566778,1.1863146641458768,1.1764521260087186,1.0994600753796513,0.9876289729669538,1.0269723066877843,0.9526924656661778,1.0049704238340804,0.9443747502783113,0.9551751026127275,0.931841336396795,0.9835799654057651,0.9599027269962725,0.9810110053281286,0.9091977193455895,0.897201352318355,0.9740582511867614,1.0180403202631982,1.086861555199975,1.1745693684618908,1.1870980590815825,1.3779032640229527,1.1971894583877254,1.2096566908295692,1.092204692567956,1.0648853372322147,1.0494647233203558,1.0348305268849107,0.9890198525586523,1.196479287369024,1.2102849448495812,1.202792519614145,1.9700206032230008,1.1011522014216484,1.3644186333764805,1.2073978513644292,1.0335548536839878,0.9614576542057013,0.9013973173217468,0.931959462996368,0.9961425147997793,0.919691001067459,0.9206769050820767,0.9686638955656149,1.008687272330704,1.0816130887165052,0.9750439040590803,0.9511099363896991,1.04648730084566,1.031200995748218,0.973967032360484,1.0143701171815231,1.1360017286036461,1.0309025701347454,1.0321610470624176,1.1017361835239257,1.1015867797322796,1.053143413896123,1.1063564298585606,1.0566014153327021,1.2664673827126856,1.0878042891635216,1.05085395737103,1.13504149450127,1.1697689218348426,2.5854971007237193,1.4394647495683808,1.9602151499610068,1.404796268644788,1.3206568259986355,1.291362806496801,1.3490217956175432,1.179361520754406,1.1001900781200604,1.252991990174945,1.153810860486095,1.1793496243565293,1.0588550427820742,1.3304013713822815,0.9600657038985896,1.0288213584455255,1.1900039124032573,0.9855647685906443,1.063023414852451,1.149956328702435,1.2551717016654163,1.4119875793562073,1.5271874925354876,1.5250995868133357,1.3388958783833216,1.3397391040936137,1.4787744663376643,1.352967718704006,1.2053971869372653,1.3806084057314743,1.3827433366559487,1.2192036871196656,1.3365619256236168,1.5035284038966665,1.3839419700887128,1.3046858123377507,1.4036415754480602,1.2957943813478683,1.3133733906874867,1.2747730303830906,1.2837989618846362,1.2550507531876678,1.122401162036556,1.1576913652991498,1.1220635932031333,1.1070179511870086,1.0087031802344963,1.0638546576166024,1.0706713647403274,1.0193103169801696,0.9947989264099586,1.0508079749462265,1.0886750711416393,1.0247307361152402,1.0301208569720357,1.0252858334599968,1.1213593605211891,1.2894102449164024,1.023935098195941,0.9802335702648918,0.9499015133393799,1.0939143650494643,0.9663063132222013,1.000574079821596,1.043615552082185,0.9880274635676053,0.8836822264397793,0.9128939347167816,0.8834334133152367,0.971083093442788,1.0163694328880737,1.311478060100891,1.6943606759597862,1.1802104689885369,1.2514991126978199,1.3968781333200952,1.137185837164569,1.0038109883569657,1.7893179022122896,1.7939193886063003,2.185989024699088,3.3935464585759134,4.347240816231452],[0.7799538701834711,0.5631652475317463,0.5551247462517246,0.4575509524605072,0.4262968281674829,0.4535741733546506,0.3992090765613797,0.4947648188817663,0.4067513915616105,0.39850023204370144,0.456642577375082,0.5682758939683438,0.47482864637454325,0.46770341116290565,0.6816693612964629,0.632669445316024,0.5974344523990536,0.6886326271076708,0.7638405189125439,0.7116081950675971,0.783575331290492,0.743899682896082,0.9566354228741946,1.0504981505919981,0.7912203516947472,0.77675517261469,0.6388750367628852,0.5787812587359241,0.6048757969926831,0.6320729857428703,0.7237083494940533,0.7052729862218426,0.8809745485039262,0.8249069174595663,0.7368387289947516,0.690824732592174,0.7042562670163028,0.6299882715219299,0.5849151288064298,0.610346990805274,0.6727602153436686,0.6709111618526101,0.678878149482986,0.76338089072488,0.9916972758403582,1.3533854701123482,1.3154207841220487,0.9546987163888921,1.1829531150146093,1.1469961668540976,0.9337045041826495,2.9336755581536407,1.7718151291399762,1.1844525516913316,1.2975426740106812,0.8713031316895542,1.33509279812705,0.8927430698308855,0.8895701924089208,1.0115890110673986,0.8956719903970038,1.2323295544966255,1.2723915108000474,1.1848589934224296,0.8532038995564477,0.8208027851607953,1.0222347970962344,0.8621661359573997,1.0491153672248492,0.8563016502990222,1.0876007020470484,1.5097004526234028,1.0365006722922174,1.1723972714896638,0.8797373942905808,1.3028807041572201,0.8533098029100648,0.8638884524833157,0.7908451731486402,0.7570532275008599,0.8289665041615387,0.8212267778376199,1.3016749963144143,0.8973013747456615,0.7088187791797492,0.6969111322594737,0.6887420368597426,0.846661173146715,0.71190669970721,0.8180075036749431,0.8207095021710141,0.9543231687520849,0.8728325347660288,0.8393073805454931,0.7369797860855487,0.7997209024370576,0.8320379838096195,0.765622511135915,0.7646995103825949,1.1772299204449024,0.8300954794611847,0.854532278774677,0.7519490052420327,0.7676853736245868,0.7317442808405681,0.6770801967671118,0.9730878105961029,0.6538559437796397,0.6384965336262193,0.8189395068563412,0.5731223737429292,0.478955801116352,0.42491776892394745,0.4595841131595347,0.4906560789534945,0.46272697604249036,0.5351140238344927,0.5634453304011905,0.8020540811037719,0.6893712806748226,0.6522369142517641,0.521831573412158,0.5130024610270659,0.41381811696673293,0.37528292812894726,0.3807375701320274,0.4851714456871132,0.45305897219696806,0.4646840453753717,0.503900460701102,0.44438183703037926,0.5499018063724472,0.44545916906575617,0.5966679541942274,0.48507289631275496,0.4759412374547115,0.6441165983169326,0.519106888844534,0.5997980563453849,0.5004149080712987,0.7315213825538651,0.7366543090515152,0.6018289644306141,0.6134282205383155,0.5241613758782049,0.5557692729201855,0.4913206335756327,0.550445778164617,0.514916265981621,0.5064105013059528,0.6131947625870767,0.6980051118504059,1.3214620190652948,1.8690095846105825,1.3416099197294773,0.9067122843836483,0.6916270955569512,0.6989799959394246,0.6665317108449301,0.6348570335315341,0.5411127213450289,0.5623791501137546,0.5044335090824943,0.5534348749056544,0.5604901942907232,0.5964050783135575,0.5602773095984291,0.6802388229514134,0.6670013400567093,0.6819046033580796,0.550029681916138,0.5077171880043023,0.5638820347085348,0.549624154078229,0.5925338876709927,0.6821365386054608,0.6938532686818314,0.9587839339456213,0.6912440300657191,0.7396114713010702,0.5998167832854687,0.5651207710654108,0.5511571589864688,0.5473092730382386,0.5529083071834219,0.7903101867024727,0.8361953195047669,0.8870465725347735,1.8052463978711932,0.7755183081537065,1.0387398387401416,0.848564625679921,0.6885905411659733,0.6016628982163672,0.5021005591236715,0.5204108150243005,0.6021938913219175,0.49892222233311734,0.5282130230626748,0.5743104989629132,0.5847207397398071,0.6676269333270488,0.5498026264225893,0.5671453837632967,0.6527417193021791,0.6423575916107848,0.6537921685761064,0.6753125061281959,0.7827604172594979,0.6926972421934889,0.7331226664723198,0.8082265369164143,0.8028651747728321,0.7974411371897905,0.8902164592469267,0.8388474215607469,1.0017826985714708,0.9087188408911725,0.7864901701664809,0.8390960754204819,0.8666669345136181,2.2158638459724695,1.218235500526331,1.8622866956365332,1.038158745118666,0.9460472692678895,0.9201802986054871,0.9876023488852974,0.8262162592767823,0.6728952383177577,0.8402459238750422,0.7502156034106698,0.8449155040698889,0.6627556593871964,0.9736627281503311,0.7072164219601718,0.8100460991859985,0.9347862480303993,0.6217805502872268,0.6475021303570329,0.7225446850157962,0.8444633622175471,1.008754073060951,1.2013825087252472,1.1726136630760524,0.9455732056781442,0.9619700677745084,1.1229984485151694,0.9602720578554504,0.8381334278566998,1.054133399784264,1.0760335122041287,0.8577120784219578,1.0035039027676382,1.1863197400020062,1.0564778681687432,0.9692017247782854,1.060809660681087,0.9532544540731632,0.9460516509703836,0.8841586506054327,0.899658214604524,0.8882029478171888,0.7563884388103308,0.7569534422325365,0.7563115674880193,0.7619935485178864,0.640593190096593,0.6982103441608457,0.8285809855155785,0.7531653418848585,0.7103025622638249,0.7661781209711194,0.9371732828576904,0.8186604960953988,0.842842624283721,0.9172230242718279,1.039091306492689,1.222732941207044,0.913414083996802,0.758679912815548,0.7154128117126823,0.9619257449712735,0.8220640758912797,0.8865158807863462,0.8407814980851994,0.7081637374446587,0.5611270432575916,0.5199918247119133,0.5012469582935791,0.6129580085911933,0.6581505775905027,1.0463783829670776,1.5997996657565259,0.7764900477441384,1.0066345998130009,1.131482879957799,0.8165529891251216,0.7150165422869765,1.6340824275116437,1.4923270506076838,1.882765261121582,2.9101059815856063,3.9129966760590063],[0.7270851840878988,0.5014517015989037,0.4873420327498898,0.41339097437573596,0.3723870733342735,0.39001920464952683,0.34512214533146773,0.44423962659691824,0.3631901437324304,0.354467894987733,0.41771260582014047,0.5295454836109293,0.4393381474866453,0.4260104983761863,0.6300757336887687,0.6036560829393082,0.5730168730328682,0.6829936604230218,0.787540397817843,0.7203237614049719,0.8227866333455474,0.7899373718860702,1.0006721660565778,1.065455461305695,0.816720532024391,0.8057858333531885,0.6381417789300344,0.5630109474508179,0.5926164332379623,0.6055859144009892,0.7170603961316433,0.6783443833611325,0.9084477131905211,0.8390199972134972,0.7330004420154282,0.6809713102324642,0.6779158348681392,0.6122380610387017,0.579831255038859,0.6069119108504216,0.6549909293205227,0.7005811794404332,0.7015413621296998,0.8041877764688692,1.053767304129318,1.3637549999499627,1.3714541316333464,1.0082214495200912,1.1963842318935605,1.1764511105306732,0.9585490937108454,2.9471641315875394,1.7622709111755412,1.2156316104456129,1.3001432919348035,0.9196907802457756,1.367467963854556,0.9567669399834541,0.8862406196369333,1.0493656273486074,0.9368536781228368,1.2340507185432088,1.2919979339333505,1.285254490031448,0.9066714561001447,0.8563652371801584,1.0441824073362163,0.8703934218667844,1.066843021675849,0.8577045503175945,1.0873330443062872,1.522252625214431,1.0385769896341857,1.233046873539692,0.8852145438245821,1.3340682671744233,0.875137882875258,0.8783292808619029,0.8019234153346404,0.7678376159543889,0.8212707606629689,0.7813518516132522,1.2968417864968105,0.8688138607752456,0.6612499381018595,0.6500435895302082,0.6717069695215174,0.8476036009709464,0.7097180332627486,0.8309416477764785,0.8203750003954716,0.9844956575433034,0.8790974249972014,0.8538025448652387,0.7358869209791976,0.8027190179917526,0.8003303661202325,0.7498129340964627,0.7351737442389754,1.1562502457984294,0.7948541644252399,0.808253582843195,0.7159801089319862,0.7252478390137381,0.6834003774303236,0.6185781196678952,0.8936577226263605,0.5871470707989168,0.5784069829091721,0.7751345165083416,0.5166862117503566,0.4247673260006063,0.371644189909825,0.42399169714351376,0.44130612510526257,0.4319515703866413,0.5220396094519499,0.5532544174487872,0.8318491017849966,0.6807252570425776,0.6469000416602739,0.5113723083745679,0.5116416571194873,0.3946183216091891,0.3397368413261443,0.34708990644390186,0.41955819935321814,0.40233966918108066,0.40291870271071634,0.44043425092194227,0.390941102525639,0.4881699191069303,0.3799550431736671,0.5385373296640809,0.4304958151212582,0.4194401004990163,0.5858308863394582,0.46863024419970317,0.5397180569136041,0.45647204136296954,0.7151931754443183,0.7999286352966278,0.6178697662046517,0.593399869717049,0.49119646132412054,0.513958699701218,0.44775551600240815,0.5087069744881666,0.4752372097434786,0.45782818566540456,0.5724777086418227,0.6802310330128237,1.3302562414087868,1.919854697138678,1.3859053611919145,0.894869683823278,0.654991669020038,0.6598363426371959,0.6297347538139875,0.5909916607298878,0.5095732665797856,0.5342046940653347,0.4620902365018298,0.5179502685550762,0.49613723694954437,0.5699253021298827,0.5306973043184009,0.6692725414749124,0.6404443097604081,0.6499076621822799,0.5044417475828232,0.4558369538784858,0.5076820213731327,0.5068519538933616,0.5606773631467953,0.637727632556329,0.6549830680496243,0.9158336547126545,0.6649615662998886,0.7140559018478895,0.5727015362344087,0.5212188149155268,0.5083919335328155,0.49536505108742807,0.5094198516570778,0.7681002188115269,0.815976998325322,0.8820525058846906,1.7554762409570417,0.7979068997224066,1.0557035806542923,0.8608161730418546,0.6772469855745169,0.5633359350692634,0.44433658669277476,0.4687609758153023,0.5392605188972348,0.43432355427777775,0.4586642172853808,0.5225805358237728,0.5088999086038796,0.602110035769455,0.47953774338575816,0.49891283636724104,0.589182801983255,0.5865239613219647,0.6087792685766948,0.6219551275659866,0.7368910148494865,0.6482984610749906,0.6896379942913088,0.7669449113720594,0.7691229894250429,0.7571890417708218,0.8495222655607174,0.8066510026826275,0.9818755098966537,0.878672548064884,0.7337010846630264,0.7923817701484075,0.8178039358527316,2.164987741883892,1.165530334256505,1.8131604497314286,0.998006266859527,0.888184698365039,0.8593058876748069,0.9202605349481451,0.7590633276139253,0.5973939221926213,0.767912103375003,0.6936236461763059,0.8082130255396482,0.6109045553847652,0.916496144895284,0.6790012069593893,0.7741838721174303,0.9197079813218872,0.5667489995530691,0.5851945384768665,0.6556516123747683,0.7811122858177062,0.9650479888079397,1.1612763022749517,1.1373087291112909,0.8907654505679881,0.9102221559498871,1.0810587548107908,0.9211485720190125,0.789618583733713,1.020248760071952,1.0495509595570554,0.8236274406670809,0.9674669309093484,1.1603661663609406,1.0379323880121998,0.937956229627589,1.0311931597810542,0.914571901325559,0.9022544284634065,0.8295313977579466,0.8401967376912078,0.8420945276827783,0.7013454784013152,0.693129165804412,0.6987067377535172,0.7100784074170631,0.5774432176761626,0.6349804257368666,0.787275435188021,0.709518937034155,0.6687081900914384,0.7213105950028419,0.9178508354077305,0.8105157492280605,0.8242314044530625,0.9077055988211683,1.040026510743631,1.1995367961702483,0.8844247979198453,0.7264094979490173,0.6704000886212265,0.9302730229438892,0.7934911435241603,0.8763352647000335,0.8248169509722789,0.6676780794320234,0.5149425026199249,0.44941467321883544,0.43763342176505887,0.557725398566515,0.6049753561024732,1.0099273223277427,1.6318830983479717,0.7353634795368418,0.9708656916869334,1.1417493118557436,0.7931956851133528,0.6685348764119754,1.5952047676824523,1.520000650217751,1.9781237382615633,3.003832113407184,3.9527895241507545],[0.6790340787473804,0.48263805015355576,0.4741678668827721,0.4158731649852355,0.3801546712893923,0.39467588063258346,0.3268586888468408,0.43342996541267154,0.3409514248427453,0.33301637546758267,0.40010586633590717,0.5171630811085107,0.40957987623527,0.40712289977858734,0.5914969847278055,0.5523329233751668,0.5358079204599087,0.6273184649299519,0.7273197281357875,0.663934076397572,0.7585824866660249,0.7217324458711512,0.9314455053087585,0.9985532920907741,0.7757714758635724,0.7604346104742863,0.5782908394408495,0.5145763151402689,0.5383906441705478,0.5565104474043594,0.6680972797201735,0.6261639376145016,0.8343962197745243,0.7680688251608131,0.6658423917342781,0.619761322613868,0.6212809923406245,0.5435677906494568,0.5070472955558765,0.536367346099276,0.6083692138524421,0.6312679543331392,0.631854232103749,0.7495819113162231,1.0338528144107135,1.3603993112598782,1.3689080613015705,0.962656012743549,1.1495030801157484,1.1596875828586306,0.9138607646180462,2.867370600238749,1.6849107768007632,1.1116925168560832,1.287467913141362,0.8030732991715278,1.25872749601991,0.7953600944017317,0.843381342659813,1.003158697337684,0.8564909245240455,1.1591998520872469,1.2323159085022322,1.1829251893007715,0.8219632484208798,0.7980069183943891,1.0003913260636021,0.8105476086676766,1.018977646681874,0.8039508856050186,1.048873747188503,1.4464643721198813,0.9811305787918035,1.1654450652092596,0.826419106303084,1.2978263218186137,0.8052863397161184,0.8005831411900303,0.721348609676436,0.6843035419116755,0.7484377284438504,0.7301222889155261,1.2609230166227245,0.7835125072333348,0.6178129763629465,0.5951626336357861,0.6039455940965723,0.7818680176553632,0.6414542515002827,0.7613105370503768,0.7587835332389642,0.9303862477104838,0.8213938772750552,0.7843119736899469,0.6800214523605963,0.7549339640580498,0.7615615479648457,0.7072894432523068,0.6953728283217415,1.1243917010706146,0.7471409001485071,0.7695915545168671,0.657956047679285,0.676850655145267,0.6289408537337037,0.5871681563963832,0.8646897376664591,0.5600219993228166,0.5661391807299976,0.7537794387941714,0.5083997164041187,0.39692291257606604,0.3383452252108573,0.38928744017111716,0.4233470570380445,0.4164663732318133,0.49520332006578716,0.5349125706021914,0.8194723173083432,0.6561153580695137,0.628346638420515,0.49695593405428806,0.5012828330823925,0.3844263262484285,0.3231123616587962,0.32248497609103416,0.41241587060864,0.3773890220672318,0.3814456190365017,0.4048084906155517,0.37200554592208224,0.4548533501854841,0.3620176970052149,0.49193881723281674,0.41719762913818886,0.4116222971711691,0.6077677472941797,0.46179134139001754,0.5234095412514038,0.4450017794704602,0.7154475032135882,0.7879365231458244,0.5888237434502489,0.562360769845473,0.45765137180812526,0.4696789313021669,0.40805668285368196,0.47668728492629,0.4407186313034103,0.4299749538432917,0.5491193505901358,0.6602936281835109,1.3049987476820135,1.8830019299813827,1.3832017709698268,0.8493992978208592,0.6175449824104342,0.6164229857772847,0.5808484622908967,0.5533439335323509,0.4690030247158729,0.47712966455975214,0.4249812547120038,0.4721261410801391,0.47438812990298174,0.556368354501432,0.5111695944772401,0.6708910091768251,0.6554020525276504,0.6566467274039313,0.5037524715045026,0.4466875574013246,0.4780691788485486,0.449052309700762,0.4960445134531636,0.5788929060333812,0.5978387464584008,0.8640403797045567,0.5995514761622458,0.6442148684107623,0.5032097084229251,0.4696596634250455,0.4514473315452804,0.44544896482042207,0.4710820688019205,0.6955312508752629,0.7750778129815789,0.8413733741489299,1.780263532785766,0.7740464687666473,1.0131313582979329,0.8375710116056132,0.6703946003778981,0.574749510966679,0.43889369565824565,0.4650801188193317,0.5235653786352635,0.4142424576303014,0.4441381709781998,0.4994004082863345,0.49274728029264625,0.5757805010995171,0.4566155041123521,0.49552766331860326,0.5729943972548402,0.5698285654407805,0.592088260559979,0.620486258166202,0.7407471879834113,0.6461253565966371,0.6910367923033996,0.7702566672199889,0.7732519984475854,0.7568004085314448,0.8577138786863248,0.8248720017327754,0.988230854037298,0.9056301909745325,0.7545599505890003,0.8067232634189302,0.8308812650140498,2.066688560763657,1.1865202077504857,1.8269754914658882,1.0034993103310916,0.8890802991523616,0.8596502098362558,0.8919072195490979,0.7718620599200943,0.5838756508486265,0.7383713011526399,0.6775283441234383,0.8269950965353838,0.6175968568933335,0.9045482064594972,0.71520253058571,0.7824839950883209,0.907709253249492,0.5568723682600423,0.554498770425903,0.6097725724866211,0.7505687187266822,0.9303173408316264,1.1346026373500673,1.1035917579743901,0.8681588179648045,0.8996760203741515,1.0604517395959936,0.9031356234404824,0.7850456337113336,1.0231313217668163,1.0647477495041555,0.8304046447220701,0.9789943682219954,1.1815235589891393,1.06691947964647,0.9463883412637166,1.0389341489538844,0.917985149489564,0.9033692242202439,0.824816532892826,0.8285877521742422,0.8485892727470817,0.6991410083710535,0.6825631613300139,0.7080371296939059,0.7261521822528729,0.5871496980427802,0.640783082978692,0.8204443418173574,0.7298947491792703,0.6928005494153503,0.7573945396638855,0.9702286344170677,0.8469982236397386,0.8605668403043301,0.955317749223759,1.0698155569268586,1.2457871604563469,0.9185824060424949,0.7546051025415125,0.682376152968673,0.9380324973525399,0.8225385003345111,0.915585466558632,0.8581391009355875,0.6814151348772399,0.528463646682759,0.4329574060413234,0.42380164942565657,0.5413810090430258,0.6247790490964853,1.0110775790195567,1.6378177634280768,0.6816570744806268,0.9535957987318662,1.0802224953319726,0.7878238550477357,0.6655823650990886,1.535592684129599,1.3463855489966776,1.765241486443894,2.6657882568372924,3.640324080800422],[0.6575167392633312,0.5066100656056957,0.49381011901307487,0.4372029571923329,0.41059005059601533,0.4000871100453357,0.34399693951540355,0.4662050088802762,0.3681197877342498,0.3505078353334521,0.4051089299683945,0.513067762291227,0.4050817265366261,0.41948128780257815,0.5821864559474841,0.5359066446344056,0.529861259958377,0.6075910538301906,0.699793879679675,0.6424208778252446,0.7246377382845539,0.6816285417171782,0.9153405784231685,0.9774331969075073,0.7725595468050342,0.7540922889913422,0.5752232412866595,0.5180384900954281,0.5310508623013288,0.5543841612466947,0.6497166056483569,0.6072283616908288,0.8079779730036108,0.7400774643339566,0.6359044973645658,0.5974460960430593,0.6007603158352334,0.5237670121968193,0.4976071090457152,0.5125961533958425,0.6311916199810433,0.6300083423076412,0.6146630592643183,0.754583278510849,1.101578515829645,1.4300971285867545,1.4460034782985483,0.9864621394809479,1.1525547558036253,1.2037432168902475,0.9131257523607511,2.748334254786655,1.586420835035112,1.0108346560017092,1.3062949410598605,0.6921285516149382,1.13665561552608,0.657769458868957,0.850915790989479,0.959737880613451,0.7961721674718947,1.0928181141111581,1.1600203622725054,1.1039612137058816,0.772634673497939,0.7643671682022635,0.9595617885208538,0.7692865230727911,0.9841608131638194,0.7754004485291567,1.0256916496867092,1.4092803704301105,0.9556611496928605,1.1337240021939223,0.792704710776246,1.2879433433290846,0.7617876484565076,0.7564541072236317,0.6774529742641088,0.6535993127777837,0.709254908741674,0.7045890080191062,1.2284712370453896,0.7301949242401434,0.5962734592677977,0.5755501516087761,0.577888379571565,0.7627873669344472,0.6134179278421009,0.7333462337330339,0.7196055763932272,0.8954776927525566,0.7860224574107341,0.7567612534310852,0.6644574318111776,0.745587624433262,0.7598445428912457,0.7113655686469659,0.6918894257023803,1.0987457967382208,0.7429873475950003,0.7634054233667539,0.6370360912015673,0.6764362380743015,0.6386544886419022,0.6012078999762293,0.915058147583369,0.5988083441906604,0.6142917580459809,0.7790648397781101,0.578830201524952,0.4220898668390243,0.36593168436853246,0.4046998861381538,0.42186763908055436,0.421922762969843,0.5016658064605719,0.5471901788171137,0.8343564120200122,0.6627723746188704,0.634382873134302,0.5135220836025322,0.49600209627808256,0.392622864430433,0.3345143615038954,0.35293220343044746,0.4644112011804434,0.39291204275736963,0.41255570779908407,0.41850913247947186,0.4016902792823635,0.4968465039267968,0.39466588059919006,0.510240812722197,0.43681072182151115,0.4358875054345173,0.6567898501703473,0.4799374633789898,0.531311895323148,0.4465273929720126,0.73987596044312,0.7970740002727367,0.5842054934569331,0.573806585836345,0.4625985077073512,0.47340963344180137,0.41663194442224094,0.4658507413068142,0.4454448596905742,0.4428073311219949,0.5590065771436286,0.6593348035352918,1.3087379251836408,1.7978967621885606,1.338191211509784,0.8338790014742568,0.6144306310489268,0.6154708911899317,0.5678846432544487,0.5554605341529282,0.45803693578393834,0.4649527598469813,0.4400905294503149,0.46856760003469416,0.4936453176517399,0.5746893674464219,0.5364444885849804,0.712718306678823,0.6810692888300108,0.6893660284568286,0.538579998618666,0.4645553739022322,0.4979659418285177,0.45829885321378294,0.47818128840253493,0.5710736875504243,0.5794476747131428,0.8465066145083503,0.5749330292564527,0.6193303515568199,0.5066545053601541,0.4767973021360655,0.46063356412703754,0.4611660373637966,0.5010900028436135,0.7129610129088162,0.7942377678353869,0.8143011977294836,1.868042957997144,0.7580686182123699,1.0242364126715033,0.8016584846774917,0.6628875445194321,0.5833162286089225,0.4578236991255857,0.4979888370716094,0.5450021197625383,0.4521183103015058,0.5094281108483377,0.53418668682348,0.5260732626473865,0.5932113525319841,0.4846071845512843,0.5339174703083828,0.6041710965779054,0.590319672874949,0.6194878541117353,0.6519677692284138,0.7705454715470211,0.6598403729160736,0.7133506755809156,0.7946751869861677,0.7910251826768335,0.7802364903869488,0.8875110077674252,0.8590114049495494,1.029420778155404,0.9537574988153243,0.7930366858257049,0.8492524142116464,0.8806071615838967,2.0054467508111706,1.2509304042266156,1.848628414167569,0.9829501986794293,0.9172477360543917,0.9302624308813318,0.9399210886794149,0.8371471000329795,0.6308040832537402,0.783558106424709,0.7229444424627754,0.8845874988618603,0.6782606726718986,0.9143029946065568,0.8190189458540169,0.8454451726551971,0.931938327427609,0.6224241424347928,0.5617013194344886,0.6196976993239007,0.7667190776048945,0.9221202205235256,1.137848643820324,1.0630879265456712,0.8771724805762626,0.9337463182315932,1.0800655544853053,0.913755761543325,0.8150905518085357,1.05634229867637,1.0962975713856793,0.8636704891076794,1.0239263542851833,1.2265107747546202,1.109589936629926,0.9776804617265956,1.0805250189499231,0.953105830757558,0.94133959948943,0.8511145585200037,0.8542702169102808,0.8937714902920932,0.7366555689662629,0.7160836336028542,0.7514975036929076,0.7670339396146412,0.6422196470624114,0.6935755303847521,0.8838071822668064,0.802316201054733,0.7817177303191504,0.8219074303217458,1.0255230526975003,0.9046559678738954,0.9216738491437049,1.0415490202683335,1.120606136966457,1.3177392883972068,0.9739343235645953,0.7991839160877885,0.7293231086713325,0.9992475474006306,0.8999350912672053,0.9976123284250971,0.9264052385448397,0.7504400595759418,0.5698752544046606,0.4768687963794317,0.4587453561736419,0.5509514284482884,0.626049087482721,0.982078958928608,1.555313987754688,0.6683805683860544,0.9114108300459381,0.9702821587681687,0.8156684475923597,0.6478979530476581,1.426071036637671,1.1144546600420688,1.436607213365364,2.3277713757043483,3.398529616776257],[0.8101837483071133,0.681394955448012,0.602138301600944,0.5835159415068935,0.5424277923153578,0.4613520791639441,0.35520355309532436,0.42206777246799626,0.3442821547163176,0.33982197135203934,0.4005496818739881,0.4736055532944217,0.3812825126981508,0.4159135642052517,0.5731177848574847,0.5149800565842453,0.5145555397918802,0.6195404324251697,0.718609795187745,0.6539408421718172,0.7536974722503518,0.7066448465884247,0.9298724535019091,0.9927311754694305,0.7987739532845691,0.7656656052514155,0.5615575696580825,0.49994495169355885,0.5137436054115906,0.4988047564688197,0.6610488901520526,0.564367096108431,0.7810293704525337,0.73439841186311,0.6077687582144561,0.5853953258552648,0.5252705024266348,0.49476411288070077,0.47194070494997914,0.49273025002542314,0.617223945166069,0.6235286536502748,0.614568070327363,0.7820749112066325,1.1279746309829992,1.4644474029209835,1.5158551645004334,1.0110091337366947,1.155416705438613,1.239368372575196,0.9580975412016434,2.762627858877279,1.6007010791074099,1.0294298156425057,1.3299713467493905,0.6950414771087431,1.149544954274824,0.6477543854764685,0.8195595025093835,0.9837836326043742,0.7842716873329129,1.0680156771045408,1.166136337815792,1.1806605659108622,0.8230672560369818,0.802255037168597,1.0295223724036398,0.8113699362342538,1.0009769786135352,0.8216059721995781,1.0608701812419525,1.3922310791713353,0.9901203485226481,1.1547200772229977,0.8588771891139918,1.3239614799245003,0.8165215419127257,0.791478980072475,0.6949181156824711,0.6567865882869294,0.6779255567686424,0.6545526389376483,1.1969866123354906,0.6280792485284223,0.5746568957909101,0.5269209186324267,0.5421853903702039,0.7148094946893037,0.6079856552610855,0.7248124261478638,0.7560996965330253,0.9663450096974332,0.8451012199505137,0.7849743123164297,0.6763467682353268,0.7868630763344447,0.764482163322464,0.6787674574258001,0.637593857510645,1.0351927938398435,0.6637940572188137,0.6910692963480348,0.5470245459719314,0.594111804644208,0.5605707435440662,0.5454574832693374,0.8538807869764653,0.5443024652654919,0.5707922132916831,0.707576138075895,0.5520084693382206,0.38758321964224624,0.3383660066206613,0.36585309021196954,0.3928170080498331,0.4034537765779151,0.47732679106194165,0.554598546246596,0.868269947875829,0.6600672284521847,0.6465073689478203,0.5148532488359862,0.4852962648444541,0.37808203732388806,0.32203062422702905,0.3700387606769553,0.5110820745331067,0.4021737435775241,0.4417447634137571,0.41899576739796357,0.4789363680082698,0.5478258653101944,0.42013443664139577,0.5045712137039512,0.4415627595894539,0.4279985648252508,0.6460928979889101,0.46734844740363507,0.5068752382201588,0.4379345950546522,0.7481310824357174,0.8543892701710463,0.597354169231842,0.5593433577528341,0.45494060140609976,0.4447080875593624,0.38605233512356363,0.41718835742202637,0.37617891675256304,0.39695853446020146,0.5206932716622453,0.6202083517522675,1.2575896784697813,1.8012523731806873,1.3496450183727282,0.7630662198242422,0.5366775549956548,0.5436232345856464,0.49538703609742957,0.48336518864066147,0.39585634540772624,0.41990941521663777,0.40158266242516893,0.4360450103082625,0.44514701452738487,0.5963555104944088,0.5284381992835321,0.7085243994649673,0.6769398429276997,0.672628873498038,0.5293611766921604,0.45215577370575694,0.456844932255956,0.4010889999859821,0.4103243929149386,0.4839074868436869,0.5016617502782382,0.7650819261043461,0.499980340620404,0.5243163863183383,0.437793784186636,0.42104164072418476,0.4156904440611122,0.4227114888388105,0.4609397378575414,0.6658360227073745,0.7692057029853876,0.8019682876702176,1.8386468087170194,0.7781488667055934,1.0050069590571415,0.8196270146227245,0.6577804157480271,0.585620632326555,0.48271634872418484,0.5599985297932986,0.5848149306809309,0.5631123470202838,0.6315802928507483,0.659164299398515,0.6305384107128471,0.6630204210076255,0.5874831835292839,0.6666640783605081,0.6879837289038494,0.6827566872905653,0.7688881729791905,0.7789660770408365,0.8214474049691032,0.786576013651671,0.860564217985977,0.9066211186523618,0.8871151377276975,0.9148767726486975,1.0094359475678836,1.0088813098290808,1.0804352118049416,1.1229773573376938,0.9194114590660718,0.9395747583121851,0.9876454064055554,2.0711715482619155,1.2405632466589642,1.6932976719569375,0.967737967355758,0.8664237098395544,0.9081684324322445,0.9202343137431206,0.9083777129867373,0.7191802931643666,0.8221038826608348,0.8327321049669036,1.0234967301458082,0.8284096748739808,0.967689584599979,0.992980857459176,0.9903293989758545,1.0609023006243952,0.771763449141758,0.6638563896571006,0.6578561273275497,0.7850756848925337,0.8846122414523729,1.066315774243663,1.00250890033717,0.8435698408650204,0.8787240273956783,0.9894904460233,0.866740620612562,0.7995230014021841,1.0056996776957694,1.0609233915617173,0.8751874930588405,0.9915791110842893,1.1756130889834124,1.103320260586074,0.9927002887333137,1.0702987315888959,0.9770183926650491,0.9439276820620505,0.8416543045134537,0.8384255893464725,0.9136023389223216,0.8031503324502516,0.7944381415206938,0.827277766781252,0.8586106916250774,0.7636980933787579,0.8025035073046054,1.022211740560761,0.9392194086007184,0.9267628703389925,0.9701415957786751,1.1911357606730044,1.0885157210113197,1.0802575937530585,1.21405438590502,1.2578434294264234,1.4822778561231447,1.1220441490576436,0.9725954084816275,0.8694999152972157,1.0822585400204234,1.0139690367561134,1.1261894773670578,1.0433193339328826,0.8984291480624426,0.7082612853393985,0.5895850954022116,0.5588685966378492,0.6950810751337861,0.6120232920908046,0.851224721749015,1.5404121083674214,0.604468598690367,0.8233785710283421,0.8611999933081269,0.7696612710319991,0.6170995404557985,1.3685868642767764,1.033915763219999,1.3653357642295854,2.2201994881074727,3.203512602027294],[1.1982290864552747,1.1534425228583538,1.1993306901883607,1.2065248057596027,1.1467887253220292,1.227794295562392,1.208652706502981,1.1397862195288246,1.1234430875906303,1.142771426635554,1.1227644356680966,1.107838721833891,1.1179811153998542,1.16070483004697,1.1716426796254524,1.137625824017557,1.1970601378092667,1.2200324481244087,1.2789581543694075,1.2593535073123814,1.2989843761128332,1.2773824745871531,1.380652948562169,1.4338725658208116,1.3621798438584138,1.3245860079641538,1.2416059355655151,1.2216598751760426,1.192492450470286,1.132313476101235,1.17932603618273,1.123405211102781,1.179161931718253,1.1568860105185266,1.1344535174083183,1.1659109347039176,1.1455403705917842,1.182058941331994,1.1820567745631225,1.2372286882585468,1.2833092004629798,1.1945672434368941,1.184816491061268,1.319030991801733,1.4863396330584626,1.8402941030167748,1.9221504030538215,1.448823811084605,1.6702044282044168,1.6352101745568335,1.5273842023314654,3.482097382498176,2.284125616530096,1.7603442836735226,1.6426119843171054,1.3531686501897398,1.7861324187826484,1.2436443665165617,1.1159077850048982,1.443016546077154,1.2772736013960824,1.4588064354540438,1.576448789632579,1.6229449864106242,1.3196358648106614,1.3002653768095673,1.4692902128717518,1.3047343334097017,1.4230802290589397,1.2895042494616924,1.4554734529356175,1.6628340325674922,1.3384392506792389,1.46537184616887,1.2778969286865933,1.60279324944478,1.2634872208270744,1.1977969071518875,1.189760608671814,1.1869441982457105,1.214660102155425,1.2380267370985638,1.6753143974205438,1.2948467918597255,1.1935562541893994,1.179816793422081,1.1730252899272942,1.2735983072741235,1.1727563052791299,1.1819174124092076,1.189614525014105,1.2920334484269809,1.1985879646293147,1.166289813610448,1.1445574760329862,1.1637922328510668,1.2120450233889286,1.125423917655313,1.102090622449192,1.385324481255966,1.1207967892174218,1.1256286243386133,1.1129692822463082,1.1112882898583285,1.138693320938964,1.1539049866135653,1.27854728526257,1.2172113496868788,1.2273354461852173,1.30207063832724,1.1761589588615027,1.1932539677058123,1.17453006918958,1.2442820495667677,1.2420695184571224,1.2485953014463436,1.2500341573337415,1.2972092003739735,1.4338357579121495,1.2727036334446857,1.3080768207075928,1.2603711808150602,1.294341504779216,1.2552953384159995,1.2424079519449271,1.2106407583255119,1.1117082426716103,1.1897975493209634,1.165903885441461,1.1639732043553925,1.1732248642367311,1.1690762675732593,1.192794588796779,1.1701163218612036,1.19675532570657,1.2207311358086503,1.3334822448624652,1.3520549131802675,1.3592091094092669,1.3011702453506124,1.4553506639174383,1.5805911518449016,1.3117741858554335,1.2790180865518845,1.2503236955388153,1.2145708850451684,1.2046933521456564,1.1970835046090231,1.1691078632213232,1.1385698676696114,1.096992542274588,1.1006755452296553,1.437393849484469,1.8846294455995105,1.6169013243410477,1.1587391449074163,1.089690932448018,1.0862041128896602,1.1084826756327693,1.151596782636344,1.244076678293285,1.1855545129463065,1.2130868522087812,1.200041569516878,1.2775271632900231,1.3806451107978874,1.3251610971717014,1.4275857473980806,1.4386020256927912,1.4353021322586101,1.3258425878829958,1.3035893151832385,1.2963719591799332,1.1933213053091227,1.1608156050977865,1.1614198985826008,1.1465782371321793,1.2596726737167332,1.1579643524327796,1.1747602313333936,1.1827790853565663,1.1478090117144235,1.1647992004204777,1.1856183861430858,1.2162973851087413,1.2966114225501844,1.374308997281607,1.3950650663745878,2.073972382479639,1.4690779332412613,1.577016205386766,1.3957440200805555,1.3903579744899506,1.3670171827650432,1.2674299460503444,1.2654397211862083,1.2622289967968732,1.1725853587181303,1.1570269827142994,1.118813688748466,1.1246098425001851,1.120696065654011,1.0872779587884154,1.1279845265438313,1.1560416762333476,1.1485753458942765,1.1093190833148872,1.1651503960886265,1.2404900212410785,1.1670720949826912,1.1766788960542276,1.236383069778482,1.2559955156990752,1.1945123838365488,1.2860321444822935,1.2299642307144243,1.3989428662053927,1.2569521139307696,1.2385467591002366,1.2668774571493668,1.255152245007199,1.8820503319329993,1.6079796536790267,2.2160857277732613,1.5156425781271445,1.4169419439837307,1.3739233525462038,1.3483070807892303,1.2905216881611532,1.1718239736610712,1.2722603697320432,1.2246425982693563,1.3316302378995255,1.2006687209170956,1.3520941325155447,1.2942188044462695,1.2416244077590342,1.3157939623714137,1.137009815880641,1.1640892002889418,1.1945741638801048,1.228365624309681,1.3441434935664995,1.4767507282546473,1.4460794735818323,1.3410345020834635,1.3351180073958464,1.4518471941041018,1.3460813377272678,1.2960217972754111,1.4241949945930352,1.4604772086784688,1.3051840693342562,1.400831978973094,1.5448597465161995,1.4803863043796517,1.369112354214772,1.4243594797333468,1.3387821423026725,1.3339380874328113,1.2837108824803607,1.2826837960242108,1.306926187629382,1.2215432225491047,1.1852970561253844,1.2545042577764318,1.2673896330028027,1.1912629429645636,1.2131326245364047,1.3286586830824405,1.2579361379159173,1.2673759503280762,1.302397706368679,1.4599396982874844,1.3494286543740235,1.3367939512018259,1.4151860338321938,1.4787580121432837,1.4966944742608819,1.3298022918783448,1.1902707578813598,1.1862199099138226,1.384764389920891,1.3453465859584828,1.4051925489013974,1.3892242543320743,1.2076650047286341,1.2014544745449975,1.1487950263848563,1.1577477765263584,1.1176866045652225,1.426691396990201,1.6689131649895204,2.101508870331881,1.2600312749175042,1.5452230058224992,1.4724925225450747,1.2716000906002327,1.3452586233536457,1.773034398411874,1.3589609388481716,1.667395175841311,2.167754473670874,3.213118172755065],[1.0446484359918196,1.0618216686961204,1.2489814266887778,1.3530821554586223,1.4433725976239125,1.545948213738592,1.71403255256788,1.6835355480752168,1.778368625995932,1.9417603972185764,1.9884952711296842,1.8794404258400184,1.981247792526375,2.0688813359041793,2.096788019499055,2.063540938580167,2.113306510415053,2.184582762051283,2.237006409809166,2.2114008335596766,2.2569660383048324,2.23838996705139,2.297640518079619,2.3156249472914556,2.2609243933944936,2.2428122160825716,2.158177387180948,2.1387269905725983,2.121055168018135,2.0302144629704393,2.1384697996698474,2.0080819169588975,2.0031504753013554,2.0590897156047685,2.0630050320598943,2.112169460127239,2.028394794300217,2.1030290447557665,2.0712388128962558,2.109830299552616,2.1414123255763764,2.1280066855485233,2.13038173923225,2.20928338115563,2.3393169743698112,2.6042402075785045,2.6916516530523555,2.2935867649147004,2.421135982777686,2.3236693383684788,2.2732410760720625,4.031306696769394,2.955589604547175,2.5580245560562727,2.3772949335428706,2.2378914666115155,2.5588896480604544,2.156857055004895,2.044888865108313,2.260218626800927,2.178287649668958,2.312233833579313,2.421535484976271,2.555850759515306,2.3127167146708927,2.249128599397638,2.4016217886719318,2.2705156893492773,2.3710105759814266,2.2796964395568255,2.379584960806641,2.511719912179017,2.322271001194243,2.3650282207699256,2.2961274847895066,2.5390923100785683,2.268870137168972,2.1921928178325385,2.172551813659598,2.1562644084292026,2.1046119782108033,2.079437496483858,2.34880791912372,2.0661577156771482,1.9807903412321428,2.0176005060053317,2.0934517222927336,2.1227002333232963,2.147095372311542,2.1031856627457115,2.1697250896756177,2.2673921887319377,2.163897809555365,2.075326304836726,2.0683335328522467,2.0600031178676854,2.1118683715344333,1.9524383273394734,1.8862295601478327,1.9447890574568114,1.8659515344391724,1.7145610908689037,1.845737209869378,1.7364322026332493,1.7717000080474092,1.71796083807734,1.7059557907039284,1.6643054665021224,1.6119449392427587,1.7180157813949064,1.6125078844867624,1.7548267988997461,1.7830445940339807,1.9021620166801296,2.023568659374062,2.0393534855962128,2.1123374932757932,2.1200899548254473,2.320355357854786,2.212067153729706,2.2233001627446516,2.1620341495390583,2.098066242349608,2.0121256020476244,1.916638287714937,1.8081360217675524,1.5803605891903232,1.703169567194446,1.625988326276971,1.682751372697321,1.5961653496676995,1.589784420157531,1.6918088236231785,1.7165115244428686,1.7397865408975453,1.7860863661462008,1.771579744544168,1.8918309143096539,1.9331080605135216,1.9816348166298388,2.107122390480487,2.30809059108166,2.123614425864738,2.06849374202028,2.094950592902979,2.0734525675046935,2.0201333557991408,1.9757838804139984,1.8845739728652375,1.8232221037190681,1.6772539537354003,1.6573134014298072,1.744488534377329,2.055408181116778,2.062558699574934,1.7146978169883067,1.8008854261703624,1.7356884447262562,1.8639034164151809,1.8067433064077,1.943409273119988,1.9923131855519565,1.9737968625854576,1.9944656705857922,1.9775020507663292,2.0237365989448004,1.9268948891900841,1.9847682495609127,1.919054023440444,1.951739276580351,1.8677112269672576,1.9144040711355994,1.9578441055360902,1.9069227411040603,1.915887307987621,1.8903230257811923,1.9240938444839513,1.9383516600759734,1.9367567147436164,1.8818115934773163,1.8992851829028858,1.7959970759146193,1.7988358322726408,1.8219255015328801,1.8666638042260877,2.0017008547910686,2.1236990494655226,2.118879419452664,2.578718052600082,2.1349803636869424,2.203349022337172,2.001791604191565,1.9548800565562325,1.8773750835950422,1.7398572771953098,1.6520877972439854,1.6295802615958375,1.4735891797412262,1.3682826375704338,1.4202238128726168,1.279814616646741,1.3013584555165636,1.3201518330282176,1.2347703731117914,1.1858929809769219,1.2250496235229817,1.1697184944317884,1.121928737184899,1.1839352502896747,1.1308930628242098,1.0665570938450313,1.0779726550056337,1.1434397210918164,1.0597902665799654,1.0682712655480904,1.023805776757834,1.1963872713694286,1.0628395605446372,1.0643177644771236,1.0533096066972145,1.0646606950338207,1.6865818792818594,1.455361320823929,2.0865799080246963,1.4173131860040316,1.34823137764699,1.391805791898035,1.3418994713621444,1.275522547378456,1.194818302307681,1.320420463155411,1.2413354290764862,1.3250312112813107,1.2945346397188593,1.466020492214565,1.3713345185750976,1.3203643096312636,1.5446806748380582,1.2820443980629581,1.4173952792456552,1.385066186222116,1.3254406897399302,1.4766931496085713,1.5268843540568784,1.5955942776247467,1.465582046409363,1.3547508756356106,1.4884508232985445,1.4792244299105994,1.3409302225648023,1.4368330530487026,1.5051529595336355,1.3159006458025386,1.3333031772524937,1.4762433971707694,1.446673543434757,1.2397313526772935,1.2729318783166688,1.1775246298755304,1.2061380936174442,1.2328425013487683,1.1958276952816345,1.1553193480780162,1.130721471309479,1.1484842638792048,1.1252974114209346,1.121423424178805,1.1609297656820219,1.13596935529491,1.2259125483917594,1.1677800073419702,1.263028169338749,1.2326437078990178,1.3759359808658083,1.2589295854657865,1.2427134983078658,1.2948105773938887,1.3700846162266207,1.3182342747800018,1.1822265135957675,1.095610439853824,1.1175515664530515,1.3089934549776667,1.3152151936898104,1.367381012773907,1.440049909435787,1.2867312654778729,1.3873396446961985,1.414066280881113,1.5148320542618001,1.310983803148615,1.6487177715849621,1.7512031872277487,2.3508247448485347,1.5579733557456363,1.5885098060930396,1.6112319014850847,1.5962622951720375,1.4483000246348816,1.6982718160962562,1.4168747699929376,1.8689964001809292,2.3128225191260574,3.4353681163447964],[0.5778633338212288,0.4796348117295446,0.4869169919742089,0.42917258040524825,0.48290379434249153,0.4307191628802864,0.3808129633794775,0.45394941116375825,0.4251139532928497,0.4063792093830472,0.4417903606920121,0.5129011787402625,0.4487012771545981,0.4679040656042067,0.5630705734832985,0.5134716473361127,0.5326590593167017,0.6110463145807985,0.7104192406965886,0.6583524006319558,0.7570058859001211,0.7231574485715847,0.9261942004247974,1.0077799064471813,0.8810046769064565,0.8132288756648955,0.5988981440589362,0.5446941547119212,0.5321902009133685,0.522927125856838,0.6205908947453316,0.5644612631088525,0.7223578567014968,0.6560880901689162,0.561553553002826,0.5690175664753542,0.5293994705333336,0.4952437284685642,0.49107515376146565,0.5106404862481372,0.6316584865023653,0.654854727491721,0.6455686951111382,0.8875829118806603,1.306935817188922,1.6124160856365968,1.7125684408833612,1.1453155554808951,1.2024440246033918,1.3642462847943964,1.0890742369066233,2.5296390307801877,1.4780395646737876,0.9692167236948552,1.5422872626586455,0.6755243976762431,1.0005841522270642,0.7005401054249972,1.0130116626008885,0.9769457639838167,0.7888577842640113,0.9605349578899902,1.0145882001023583,1.0100655298928587,0.8018686341985992,0.7749400198691357,0.9640753089054164,0.7436433220721289,0.9697413751081605,0.761718639207123,1.0215174582628734,1.2708281634939391,0.9098087757004836,1.0793126348440656,0.7145661187787062,1.2463148903605012,0.7036945186081669,0.6720687265988815,0.6218364825534801,0.6320238736522449,0.6262317328727592,0.6500520972873393,1.1117559554749379,0.546827140280443,0.6081376540417991,0.5368720875287463,0.5347217998905529,0.6673379477058385,0.583900525593483,0.6314162608722411,0.6660474259572556,0.931362975549041,0.7779428927601443,0.6930658265750558,0.6130681447290571,0.7229967597105262,0.689950978637174,0.6291318015645522,0.6073962371855008,0.9537672726987036,0.650706449971305,0.6828638595371052,0.522188028430487,0.5843710280068646,0.5554389711227325,0.5445555209629279,0.8200209019279863,0.5232065381783176,0.5378132618223186,0.6950674100577808,0.5490120895309379,0.41063852269417145,0.37201582160122765,0.41089614053268625,0.42780211668145635,0.4803315856008141,0.5321370121123201,0.6109776087855965,0.8743901614895108,0.6688325078955933,0.6606673869006879,0.5370055999547548,0.566989276868418,0.4701444432953499,0.3972768801943454,0.39350758089814863,0.5008714151001737,0.40631711086167804,0.41984927556350665,0.4430313796437887,0.4662055786575412,0.5261020343620142,0.47312264243259894,0.5229243854602044,0.47304888715915977,0.46214081384820943,0.6570498010209532,0.5201791244944551,0.5325947862924298,0.5053047723948961,0.8003653466898161,0.9416029864101885,0.6793208894824071,0.6214514924480046,0.5109105578712756,0.4704882799161662,0.4384659322468575,0.4349095290183513,0.39994599852025914,0.44891309338166313,0.5578526115883776,0.6338820326259926,1.1915298334525328,1.6814686812909008,1.363810533311566,0.7231089615383375,0.5431609504138718,0.5646667194306325,0.5148406978286253,0.5003134588769077,0.42205868101903066,0.4522087983019495,0.4492920493099605,0.4993557242857439,0.5116017748402422,0.6594175055487044,0.5878397391963383,0.8029257982057235,0.7764260373806043,0.7655351609078201,0.5954596652122874,0.5022555680334791,0.5008511302736406,0.4610836030398073,0.4312155306134267,0.47408216871720366,0.5232992800538802,0.7582289582957006,0.5021894940082887,0.48739151629229943,0.48246347118179583,0.43222849661011886,0.45718041670917164,0.4967927317598534,0.5312637396149379,0.6962748678790092,0.8158839654453616,0.8696544831605165,1.9318304244543514,0.8959410432513752,1.0156419211535663,0.8904086415924998,0.7714391092282162,0.7062852075678084,0.5728537639766239,0.6097448907372645,0.5961554446007662,0.5264027400742507,0.5455932840495334,0.6066265329809357,0.5432892704719767,0.5960747538628995,0.5203513023092664,0.56855416292466,0.6110921704753361,0.6200358437049,0.6154945302232571,0.6792170316070816,0.7753919594174048,0.6893430083161465,0.7292308038205483,0.8293063590394182,0.8540992797843614,0.7721774371334891,0.9139673418583638,0.8680585730938541,1.0882160431448114,0.9692202619748777,0.8125450158641371,0.8369573733678325,0.8852815576001866,1.6930392989966647,1.2804512540035293,1.7948981302514564,0.9439860749498612,0.8435323497007827,0.9292080037324747,0.8816325074143465,0.919239885826915,0.6516122525173786,0.7317349771284369,0.7525890505445727,0.9389416685618115,0.7571009970801776,0.9196371592157736,1.0026925724035909,0.9346414647703043,1.0117639093851973,0.6812990489143598,0.5817202496001597,0.578088186012168,0.7116125673577995,0.8333845618021466,1.023982321123486,0.9417319047488075,0.7860642698713111,0.8249981409465904,0.9250318117308893,0.8363875198447144,0.7847586621577408,1.0077251305942383,1.0910746614072007,0.8935449727801411,1.0126479890820461,1.221559533899418,1.2062712675427971,1.0064901365042414,1.0810757550938341,0.9426646385429193,0.9252821828550627,0.8066806840930699,0.7946539205592394,0.89009451060573,0.7445942385177304,0.697624727771716,0.7478865335150212,0.7639787322755422,0.6789430684499435,0.7147645313698208,0.947172428214747,0.846676883115739,0.9064844716226927,0.9248758754822839,1.1558080441887586,1.0020761545572274,0.9706658017360369,1.1247267589746224,1.1696845072766382,1.2897176827642631,0.9718489158933696,0.7946861777346774,0.6946222240697072,0.9323475598327388,0.9014918526110551,1.0230115193773603,0.9545794463423454,0.7885040997341821,0.6113228235168306,0.5218047631545535,0.5100341538177406,0.557645376153154,0.6758714886393721,0.8519319818260367,1.5385478339621441,0.53377594894993,0.7473888995821538,0.7594886626162207,0.7239572888739253,0.5620049199254931,1.138186685899444,0.8105659249434198,1.148920794927653,1.9892603705760898,3.050752206435405],[0.6709827071962485,0.5839896293265028,0.5833235332680644,0.5177942754170262,0.6054858564050918,0.5656392573654967,0.5242880133019582,0.6504581999280008,0.5703395347130444,0.5163461338592832,0.5293765083017504,0.6448617102629925,0.5304322805936821,0.4873798237688722,0.5710594879118208,0.5386429669922279,0.5364278070864088,0.5461103402157591,0.5897369009477136,0.5972274251844419,0.6168777969872827,0.5946560787765383,0.798735307699907,0.8603102644616172,0.8010789932673212,0.7101457520559658,0.5582883161483398,0.5253658219606229,0.5220164069650362,0.580225532300476,0.5783452579432277,0.6312878176014697,0.7573049662210982,0.6623749890208758,0.5818252479971232,0.5663310981641514,0.5952544869254651,0.5248936683475346,0.5087431050886339,0.5270978674270498,0.6668567538652914,0.6015970847201798,0.5727762711676465,0.7660326435410696,1.2358592754829842,1.574473570480172,1.6240916885695107,1.0375516300920307,1.157012210421568,1.3399100056258124,1.0004759254196869,2.425377930475277,1.3878617933497823,0.8949950066661069,1.6300814884915142,0.6296740991732706,0.8538070238595931,0.7164274308830365,1.1329476094828668,0.8937488003645798,0.6765924628940337,0.8635835471956088,0.8888750899554163,0.7892737524069044,0.6530811676541984,0.6419384333408759,0.8061550307544841,0.6224790359342937,0.840834247490379,0.6480920017251532,0.9059103245956548,1.1983068223038262,0.7999307537541623,0.946338030356941,0.6505027372040346,1.1722626226529096,0.6183371072278797,0.6214122079242985,0.5823852608194491,0.5971913335848678,0.637963987540999,0.7030089819014711,1.1866167652830952,0.6426555529495973,0.6535482623410221,0.6123262077480907,0.5688168617363547,0.6878288652077641,0.562850883301182,0.630162460692887,0.6065952732802017,0.8130740904746145,0.6999501559478246,0.6640058133200073,0.6113624068029647,0.7042069832473303,0.6941448501871008,0.6915261498597307,0.7103533072831545,1.036004604863624,0.776376941453372,0.832414196780251,0.6568358352872314,0.7708007142280916,0.7421618577719119,0.7154616674961559,0.9728387428902386,0.7191535994253202,0.7386247369980478,0.8421417699815749,0.7532143039840262,0.5898493005750555,0.5394602161406631,0.5264500642416154,0.49635386609475224,0.47962683303451437,0.5484749036102489,0.5663545408016116,0.7648871041650332,0.5956791303741703,0.5855424113034626,0.5080295184566559,0.540511885808592,0.47261759121985414,0.4634790573724486,0.49883549333062116,0.6828801225358073,0.5546325985031072,0.5849667171466263,0.5819075578118784,0.597456400864162,0.6674437416970428,0.5722512607010404,0.6473615459820964,0.5633759495134273,0.5493374031108463,0.7497945105214818,0.5418666547859123,0.5571302993171177,0.5067477846799049,0.7762214401579026,0.8407795616099629,0.5581826073145919,0.6659257519745136,0.5389052024514708,0.49537731600212026,0.4918309131658413,0.5439532983765543,0.5496291072591251,0.5987363349492578,0.7398160226775764,0.7859451037494197,1.2925480984688429,1.690214661007774,1.361943086943479,0.831237131273609,0.689622668836752,0.7404006678539153,0.6481150479670931,0.6908270986981808,0.5230823472822614,0.5309756675203571,0.5167168033547331,0.5389555669757078,0.5715130823574905,0.6657807860598182,0.6248736295911446,0.7905052409777488,0.7717183210801188,0.7648624776835096,0.6223719360098676,0.5385285566410299,0.5552482662320982,0.5544546255547481,0.5618508680748682,0.6452198340827396,0.6360669355452588,0.8975243097545079,0.6269265915522796,0.6398099770173741,0.5898623317544125,0.5795648940046086,0.5856020408535278,0.6015624043101644,0.6198280202994337,0.7566390004210299,0.8794862281156615,0.8785785573178113,2.0727559521450694,0.9015064534255955,0.9940713826531757,0.8555644615463114,0.7714574699287589,0.7220117284540767,0.6289274124942993,0.6847101345318641,0.685221335377679,0.6620023363650361,0.6946619307478451,0.7349814643369406,0.70995794274465,0.7559183984540455,0.6879461888516532,0.7132911309273889,0.7369774390003009,0.753771974642122,0.7540934803709052,0.779595561680235,0.868965551936292,0.794128330721117,0.8064725966468516,0.8669028532396793,0.9057950134977131,0.8291355708750628,0.9001547120941291,0.9106253814485161,1.0637346036188557,1.0110169976928711,0.8439710096991475,0.8606239064355232,0.9102074712552976,1.763368068982004,1.2501226131415528,1.803610918260883,0.8675037341947015,0.9021225633335259,1.0985861264770764,1.0336767651027172,1.0528655343857556,0.7621881633481945,0.8361966346483072,0.8276763958710263,0.9780257121882734,0.8320313842866038,1.0047891450691433,1.0577421092097758,1.0229117365294427,1.1217465017755004,0.8188757191510648,0.7318267059050957,0.7288822126885905,0.8400813069289403,0.9403321377020206,1.1585359890653357,1.032099934947497,0.9247987854964539,0.9637080425132716,1.0347600637201473,0.9517966583879853,0.9104225501299756,1.126393261706305,1.2091463401781448,1.000155401921649,1.0906973329014469,1.2842595151084977,1.2702523721322814,1.0484931607802395,1.1115401557554616,0.988636454124936,0.9924025451694071,0.9015224191120464,0.8780613890919539,0.937349312165747,0.8141103885491965,0.7753288842471713,0.7960351140171723,0.8065288999620156,0.7633581925016636,0.7741374115911872,0.9868249116396494,0.9145386563782734,0.9830287230830296,0.9841522218173981,1.1697520634231293,1.0250383804926977,1.0037506417875353,1.1395880614705527,1.1794655739339035,1.3752963684886463,1.017605185061498,0.8853888050613545,0.7973730132354687,0.9978326990777482,0.9654292100861509,1.0653495709685643,1.0128317629913974,0.8883214787396437,0.7324649098632469,0.6661271838373619,0.62479140840174,0.6941371690007124,0.7114104405159041,0.8406730970730371,1.4548766760858391,0.6765547863372202,0.7622171187863888,0.8196944593003063,0.9237767969666838,0.6612103130992971,1.134959709733597,0.8611849533558584,1.1813970637536182,2.161186798697329,3.1676098175858054],[0.6330325624489027,0.514299877395487,0.4950627342528462,0.49144596539433716,0.5619766012131151,0.4500174479842798,0.40496210182372244,0.4604368745978487,0.42424661955217446,0.4156587108277636,0.41763923931332125,0.4812438046973381,0.4207601829235718,0.4351230351003531,0.51063063655768,0.4624321733755171,0.5135750247406242,0.5512126655154866,0.6289806121054657,0.5973445508967529,0.6539906199014177,0.6320071830602498,0.8463038172149856,0.9058750518147891,0.8089981681141803,0.7447538811680527,0.5748175052215798,0.5298073641259824,0.500655134920771,0.5120058816635814,0.543608171308379,0.5202785411598994,0.6647995863930792,0.5833817004136581,0.5069168227619134,0.5179853291756362,0.514747549380616,0.4698382434069485,0.48054437161736624,0.47861754947068297,0.6481446817016809,0.6166841914956708,0.590603576856403,0.7823282361413463,1.217477548625812,1.5287482540145927,1.567030672891057,1.0288977059467415,1.1433183220316563,1.3063211698780721,0.9736364218122304,2.4477946274085127,1.3815374669010043,0.8618415251709262,1.5291779303828583,0.5941604465003709,0.879963481241331,0.626994888620486,1.030702647049987,0.9081856343411531,0.7052120907658639,0.9095936000143111,0.9467711770958199,0.8560157671436714,0.671157307063669,0.6881813387315175,0.8614391795093143,0.6464015822377212,0.8740598148354078,0.6645739452298189,0.9542719877973913,1.2445631373763928,0.8256255409082184,0.9699788822854369,0.6445784402415835,1.159586357888434,0.6108985879441542,0.5859873624452009,0.5457859549490854,0.5677887293157368,0.5970104477636899,0.645399849407654,1.120828461906874,0.5738161232717259,0.5979263387286224,0.539791760702748,0.5153099606492154,0.636465481984259,0.5207137491556749,0.5759275863386232,0.5815873197009422,0.7794980266861256,0.6617082941584649,0.6007914039677885,0.5397044552394913,0.6399843398289313,0.6227687351906184,0.570241649725851,0.5708675825600003,0.9190198812307431,0.6126782933699396,0.6823831015766256,0.5128793146984508,0.5910049003556936,0.5774888200424403,0.5595445712703526,0.8242922466437395,0.5409251444821737,0.557151174133772,0.6734915963167376,0.5560484782204212,0.44085100246223446,0.41621884037590984,0.44583443021228514,0.4340873971421199,0.4821659701576184,0.5390437264499283,0.6040634075074026,0.8047067192511698,0.6367859413160716,0.6166639577697153,0.5241807076003014,0.5662629948726596,0.48026070770683066,0.41978352564225535,0.47227417361032287,0.597214726949047,0.471828784739249,0.48983536934265637,0.49011330953637167,0.5209018941985099,0.5827627270306059,0.5037782103705659,0.5664419753419163,0.5218973165195822,0.5116604276729172,0.6849854327012185,0.5136515277870918,0.573814051175905,0.5165227875584132,0.7936479037323902,0.8373640400586827,0.635610739092312,0.655828273092827,0.523892629306808,0.4813919238511901,0.4626420799245824,0.4679299153124767,0.43687927019357575,0.4786624217026459,0.5779932224977751,0.6362723103305815,1.1991378859595847,1.6945510297178805,1.3406048443532383,0.6868221994188102,0.5160704965203554,0.5619170955552839,0.5092514075157891,0.5417995102657402,0.4338835354787926,0.46615252524351103,0.49140215179523894,0.5081020170465378,0.5237497440060175,0.6762262455592405,0.6045093020178102,0.7790089602671386,0.7455104818537848,0.7476268602688053,0.5995965159712069,0.505759872096755,0.4910237711158448,0.47862522909900945,0.4680192410862225,0.5035811537077095,0.5380957437296836,0.7773226834855977,0.5405046138932074,0.5269644482523268,0.5146677991592312,0.4742497585146401,0.48952064989488026,0.5197736986065341,0.5616221428322669,0.7284690240169144,0.8207935522502603,0.8403432589137912,1.9723002495087456,0.8490039554987936,1.0325405268297418,0.8672396002156064,0.755104684519756,0.6903054718267377,0.5785364048761863,0.6064564848243185,0.620118702868874,0.5731806531265212,0.600298818484396,0.6432625139556212,0.5534435730164526,0.5930787241112538,0.5474389049531444,0.5636066690917227,0.5625424217604735,0.5801861304170771,0.6652996882116785,0.6280783751909021,0.6816020269501767,0.6380208768037848,0.6731740637618904,0.7112148243389121,0.7386196426431445,0.7050948950527208,0.7845647010292228,0.8204411572022179,0.9376452288135083,0.9196429683516977,0.724673607123639,0.7167334784846632,0.7895067553405429,1.8902889206945839,1.1214588089091042,1.6291541227585362,0.8234855829031599,0.7074863070686441,0.8394593733211176,0.8251428883095702,0.8255644915726816,0.6069805432648726,0.7170955870771724,0.7326183547260586,0.9156121879167257,0.7483181400626636,0.9309143037592587,0.9449826588033399,0.9205731106838457,1.066627044072733,0.7123352763601778,0.603264984744122,0.5920213271706073,0.7041065134062375,0.8237238779349402,0.9838633019266686,0.9154281606990474,0.7633437531055925,0.7389677962125779,0.8724017056688131,0.7994550942865299,0.6882637613182667,0.8946335928449126,0.9805812455527367,0.7785887480537181,0.8673040210415098,1.0738049392618267,1.048472619134116,0.8559855343831674,0.9227978198366846,0.8122920226043151,0.7883906541167194,0.6958475853106604,0.6812645141303049,0.7458163894580019,0.6330003047217301,0.6299266136951243,0.6264279391135604,0.6559451103931588,0.6072338506483513,0.6258029574811382,0.8496018445548038,0.7932075918013877,0.8408634985349668,0.8415290237587901,1.0652538941464607,0.9341040336209279,0.9278459292116608,1.0497462029998896,1.1216099957673409,1.3144785800403325,0.9572737405674022,0.8143370064266822,0.7140336716318603,0.9639699405871092,0.9108943439280425,1.0207920126767651,0.963592503268218,0.8097554994189654,0.6508860134807098,0.5704453892091698,0.5732767666590474,0.6212653872186796,0.5783517689982058,0.7479824845940289,1.518979014999818,0.4911994680128258,0.6744476863140669,0.7019765696876017,0.6829588454559032,0.5080197013541224,1.1854359608623182,0.8501992711517786,1.3163162830381125,2.056400662880338,2.9677674213268235],[0.6280968606856583,0.4691358128147579,0.44049228480435487,0.3873967349571324,0.3987865023172973,0.3689259954843106,0.298063067113838,0.422080820852618,0.3391707378728972,0.33099811421690184,0.376394438605943,0.48343194584557425,0.35448074692595144,0.375297708711351,0.531337992908842,0.47041059236117383,0.4647487311101108,0.5249552875678238,0.6062793948139295,0.559091451373328,0.6251401575566938,0.583385798418099,0.7947001751433387,0.8426133414992103,0.7188144937708671,0.6701145256402855,0.49409134374047026,0.4392525940470009,0.4466067738220931,0.47042294861073675,0.5625713090661579,0.539379180602285,0.7312997540774041,0.6312726661205629,0.5293131377649073,0.4983530675059056,0.49909135668821986,0.43896913327089104,0.41054190847283295,0.4286834979521655,0.5657823769745747,0.5454992371298097,0.5234086827196387,0.7028433049952777,1.0812253478623504,1.4407858807082394,1.450512741078689,0.9380838246439486,1.110180119680874,1.1992417893301084,0.9027789360799712,2.659661821291593,1.531943763696235,0.9325198706934993,1.3974751137777255,0.6005998058604249,1.0226639575585958,0.5470584410075381,0.8959463777478989,0.8998123695961858,0.699731574695629,0.991692645197046,1.0355306139702023,0.947550319649328,0.6726427667352068,0.6791524494799344,0.8840845396839045,0.6868373773352908,0.8896415435313813,0.7041748910018446,0.9763061931624786,1.3221580697811175,0.891704792544321,1.0301558170180583,0.6895528873791679,1.1606905699687209,0.6485515098275406,0.6357676233317002,0.5692456127379966,0.5400461199688272,0.6213675189903974,0.6262223631374113,1.1627833978176831,0.5974280116621983,0.5592773482780669,0.501753003034552,0.4944876479029183,0.6700598499902295,0.50208934630913,0.6228075940290886,0.6173604435553146,0.8063780378880984,0.6966981050716635,0.6578981578784894,0.5800104256852148,0.6739790033331767,0.7063672639140479,0.6334313259627093,0.6361944139116176,1.0396559801783916,0.6883658700587311,0.7196137356069409,0.5619270419427268,0.6257705124521326,0.588959269975219,0.5679572586002184,0.8689005547856162,0.5462380962915959,0.5561657319407118,0.7146744794345294,0.5415335744971939,0.38002781681187314,0.31805966519822526,0.3429294627569011,0.36732976038090176,0.372371753220869,0.4380649468109911,0.49082516165311,0.7549220922355775,0.5736999099892754,0.5700766387251982,0.4436207236392427,0.4574559195803618,0.3533518030429966,0.2987064056323605,0.3197636362772867,0.4542376216246543,0.35584824700541945,0.38480821749624133,0.3841758949023239,0.3964968157705787,0.49240740381635173,0.365973769535581,0.4835457342455165,0.4066372877665257,0.39622520104083214,0.6107663488553391,0.4469063283827443,0.513600496913746,0.4190886029800271,0.7295145147380452,0.7586993705332735,0.5322884120477034,0.5189887007096754,0.40491221975004926,0.40676408651235374,0.35774516197317957,0.4159407547141881,0.3804502535788502,0.39922194453483323,0.5450720587479085,0.636745039963306,1.247583819619482,1.7651673912566395,1.3689680306262366,0.7864089294510381,0.5642980158914573,0.5771033789491409,0.5112706028621904,0.49090351289530865,0.3891274418723222,0.4003180384129025,0.38157350683173014,0.41840993575237034,0.436220757633046,0.5655167529943405,0.5030150080386127,0.683938192086898,0.6752743534867589,0.677057524175606,0.508410511136712,0.42365048579548065,0.43989335193512086,0.40783135502614876,0.41766840736366617,0.5037105289062268,0.5098018084769644,0.7733475545603727,0.49793624629642014,0.5296555825666601,0.45799719629072594,0.4232834703864272,0.40776942611844424,0.41906281447445776,0.4380564077698066,0.6537793498689594,0.750263023681299,0.780174639092117,1.8739933832468718,0.7506323794378409,0.9863924188664629,0.7710596582850292,0.621666218853209,0.5546527489425106,0.4401471205861274,0.4931877875216258,0.5389639639356065,0.448850029354188,0.49634057392422776,0.5447148006959173,0.4954981192972049,0.5591593545490787,0.4636992154871257,0.5161785290248325,0.5545610200997536,0.5566434734748679,0.6062718112018279,0.6064355502636686,0.702893302266946,0.6235150780202282,0.6716297092532808,0.7379852713390669,0.7443591910252393,0.7221155978187019,0.8126202598658585,0.7984879506522846,0.9463445245852021,0.9000337031309755,0.7187988771331052,0.752730793387661,0.7981820958321597,1.9771536697478067,1.1540324601939937,1.7105431514879692,0.915735125951398,0.8019219814178892,0.8398509770880762,0.8360808730067785,0.7840882849782896,0.5754325622386833,0.7061059767973792,0.6765855274922226,0.8765234225583923,0.6710541879427919,0.8942756099263426,0.8185116573213306,0.8448218204118103,0.9495767578219881,0.6251584842259047,0.5552533714905264,0.5720140475235767,0.6948968536270875,0.8499033422585832,1.032008330881312,0.9854589927463011,0.807630425627972,0.8338660179625341,0.9728530830294047,0.8333087927986378,0.7504368618460979,0.9779705660695257,1.044504901011944,0.817253947358466,0.9352415925159328,1.1343699550880502,1.0581984408619383,0.8960873521736471,0.9806690475073091,0.8593393096069099,0.8453138621294098,0.761264352769793,0.7477996812261091,0.7878291470668761,0.6634404156865561,0.6526578253946543,0.6755476630578789,0.6929516440992234,0.5934511193317842,0.6347739807516201,0.8225491571510531,0.7474217191853668,0.7607428978778792,0.7874764799410712,1.017409312463918,0.8738219649102077,0.8862668198162951,1.0008043309605208,1.0847290442485031,1.27508340361865,0.9348839354748831,0.768379510648663,0.6885482138060011,0.9631601988558048,0.863910622747722,0.9608250592994287,0.9027932202832276,0.7408661234334513,0.5723051921408493,0.4761259264476237,0.46096947244186454,0.5463930869894064,0.5785688686339884,0.8736198898451221,1.52083368804821,0.5830883725880832,0.802601187837531,0.8543472616782295,0.7673671990740879,0.5624436904355262,1.3333385344553335,0.9895341052735765,1.3630700511503977,2.2033837616632166,3.19721616471349],[0.8056648553206096,0.6835200772116833,0.5877980093996154,0.6141400176900935,0.602851827575149,0.5025451594583145,0.41624710535323295,0.44223011283420766,0.3824857893592526,0.35818612920210063,0.3905482234758433,0.45912528525908447,0.3833827216921623,0.403396601783177,0.5076732543862984,0.461335479481397,0.4837026962640297,0.5515199477375134,0.6659981987884226,0.6144655849495599,0.7013320600419972,0.665601919525247,0.885423898825302,0.9656833646206859,0.7819638471346518,0.7410310028013708,0.5595441996628983,0.4938899896756669,0.4845854245960894,0.4708816403040459,0.5799880625970146,0.5157519758530829,0.722968207754553,0.6467044518536681,0.531525075663628,0.5116095597776927,0.4876772722182796,0.4755730671943827,0.47498904336197545,0.4707839457968427,0.5694813516390845,0.6296625831741127,0.6164129921935999,0.7991456041056256,1.1636146484008454,1.4644252020873245,1.516334147552016,1.0467525731693825,1.141983938415234,1.2570134608004961,0.97252656466574,2.633251483146146,1.5050535002591392,0.9513577918369943,1.3685148360908457,0.6581585946888262,1.07125019908692,0.6096483102864957,0.8440682659787316,0.9830732813959374,0.7750883358852809,1.0049191357804546,1.0929187705406784,1.0665781992148886,0.7597852636418734,0.7372835600730059,0.9655419098646479,0.7390845603693689,0.9450697621227755,0.7467110947374648,0.9960514397101626,1.3223858523786005,0.9021036277018804,1.0749419809531902,0.7351751819142728,1.2333424850079677,0.7115291507163083,0.690005213847743,0.6035915593810516,0.5788250281826176,0.6096560027325153,0.6109255625172579,1.1387726779110998,0.5614305298961311,0.5903602427025793,0.503249721607542,0.5117686750910648,0.6518711614450515,0.5327293152656962,0.6384704657394743,0.6563395242389136,0.9030460281385633,0.7632806761141152,0.6916343672695678,0.5912654900619814,0.7039476827846644,0.6504335241902673,0.5923777349913917,0.5773461251231734,0.9798570317144365,0.6066754143506911,0.6683772262453384,0.5060659946185108,0.563901385733424,0.5363956756498789,0.5380265390181741,0.8205379476371185,0.5174349759025948,0.5597636194539914,0.713493495769076,0.5423762612677473,0.40735828965453835,0.3844052545049418,0.40245362100837845,0.4078275528084716,0.46084318148327985,0.49736282654655734,0.5835258253409623,0.8522703946309624,0.6401092830727392,0.6289494127965447,0.5066244507961845,0.5463654486911433,0.4564419751661259,0.40062792805199166,0.439268115837201,0.5662230492930447,0.45420356144109225,0.48597638191988596,0.47100298078611896,0.5244129605421451,0.57619776791194,0.47627652623752303,0.5460139264611084,0.4966725338481054,0.47896846201427545,0.6828956591602561,0.5122144419629042,0.548748352551501,0.4854669939476717,0.7863680352915704,0.8510346954288981,0.6223780478496724,0.6285121031816076,0.4809548776752656,0.4479719345928263,0.418441830240717,0.4272965912806498,0.3890558939673931,0.4283777926361688,0.5465664729093745,0.6512705116748653,1.2462673459092801,1.8446360510641666,1.4091994808486428,0.7562238968582617,0.5051085315737902,0.5322644317031638,0.46904401223366776,0.4926786724938729,0.40773470504307974,0.4312625162259478,0.44336308447519346,0.47705944507346926,0.48548312971697655,0.6235813092114927,0.5627639157598376,0.7432474861689997,0.702201806634742,0.703917556175729,0.5667772517200643,0.48791322832859807,0.47235842723203963,0.4232139317638028,0.40786050479492214,0.45001744576674696,0.4727934454174346,0.7204103582819965,0.48781722570492525,0.5033880678325336,0.45553623685815964,0.4411001322254093,0.45251127086333,0.4719242891917382,0.5064324741238314,0.6677067158059602,0.7598009655984735,0.835592180360466,1.8346000640817848,0.8113750392655394,0.9787260786150555,0.8886760049361866,0.7071472341117049,0.6438863998892671,0.5495009472807102,0.5947329147496152,0.6007602488877989,0.5991352531749217,0.654655256348514,0.6778300836140229,0.6093413985184383,0.6448503460179529,0.5927569231483532,0.6517308535458096,0.6364848433170002,0.6405576918798053,0.752828235051488,0.7174091108640666,0.7425234973176019,0.721942730751713,0.7761046248447399,0.8178357671885845,0.8202903085153258,0.8251622471399904,0.9177584288005809,0.923219815112029,1.0187791707797411,1.0175161199502836,0.8316503084279493,0.8332914628513303,0.8827784730403765,1.9921755530594767,1.13613168462231,1.6516687595734316,0.8986560272501731,0.7635173822342567,0.8378603805612025,0.8665410118048664,0.8421301185366701,0.6683026702109,0.7781761508180735,0.8005222939853467,0.9813321579133086,0.7987581746687562,0.9586480934263539,0.9733965693992745,0.9745443867964623,1.0804148239552938,0.7692885972671907,0.6589307742761542,0.6590218983589783,0.7590445945237931,0.858218125171961,1.0055037256153596,0.9643805082626586,0.7969616169831253,0.7911675680780274,0.9214631917953846,0.8192703497394773,0.728828730935818,0.9262173333186712,0.9956410428592463,0.8128165673728219,0.9022747997644897,1.0897838462928577,1.042831571210087,0.9085032352354353,0.9688195232684417,0.8766815683195487,0.8334554248650433,0.7428214438588523,0.7291609840221475,0.8010059622329648,0.7136918990634383,0.7166000447813591,0.7342780868959619,0.7694018642208991,0.6942877860969665,0.7131986632278938,0.926309833428579,0.8712474803825208,0.8849534170980227,0.9036989206296222,1.1015049788114515,1.0118204189988524,0.9947437402544491,1.107582196265568,1.1769287633385648,1.3665505164849274,1.0326845443641697,0.8984292180713715,0.8022973733227636,1.0115268324218618,0.9591895096582143,1.0767404503134217,1.0089921389201921,0.872063450243363,0.7168303754990218,0.627332107476,0.6187185197727672,0.7049512496376709,0.592400874962283,0.8120559262429391,1.6009938733618856,0.5831002031783099,0.7729508681821268,0.8847929093164428,0.7346912336354171,0.5869844736669293,1.358435903316472,1.1601492692073936,1.6821566704962165,2.4628353941594052,3.2723376084460423],[0.685587468689951,0.4985242060040474,0.4654626848822815,0.41211211748562965,0.37887721373519095,0.3819068437081772,0.3134979551449645,0.3975809040452319,0.3105049724763324,0.3157118901512313,0.3779964013822279,0.4759616962493902,0.37246564186402187,0.37801858908064184,0.5529044553944557,0.5015924140511434,0.48935934728446545,0.5718033920102614,0.6638324316313925,0.6070416019791718,0.6838062500043667,0.6400490086384163,0.860510081259084,0.9339881998597506,0.7389705640411379,0.7175292633297193,0.5450280708128368,0.48119547929243206,0.48348557725032004,0.5091600325104295,0.5977263705381217,0.5700545726438687,0.7577326961993879,0.6863368185344143,0.5829868395325598,0.5473233979855343,0.5533476820596536,0.48893028258365073,0.4582491021972748,0.47709255816619467,0.5832394559681681,0.5860213553934398,0.5735161695320734,0.7112849143550308,1.0232471438330824,1.373641849123288,1.3686719038529394,0.9296789025473337,1.134051902506086,1.1621344999123786,0.9056634765416187,2.800626014550814,1.628841978505741,1.0278282852035756,1.2816580914630313,0.6837961126090242,1.1574318092681508,0.6502813082300767,0.8322314360423894,0.9383256268626866,0.7768444718347665,1.0841196146126932,1.136305513927008,1.0561316262010405,0.7396494438616318,0.733479092827855,0.9404256382875263,0.7450040475838352,0.9477135922118879,0.7522388385241481,1.0213794346466885,1.4052465957266038,0.9369978890861339,1.0757039876757986,0.7578431782552465,1.2090086675453517,0.7176372726257901,0.7064333234504716,0.63034960591501,0.6032245509353062,0.6729324402634678,0.6723979863391659,1.2032461849582696,0.6873015892566717,0.5843628364774521,0.5430708195087549,0.5415781333744666,0.7047944921759088,0.5632800731056736,0.6770406476029359,0.6721406438901413,0.838055681437846,0.7369119388695764,0.7038112555881773,0.615514285648507,0.6995661813980102,0.7122983710256056,0.6641472563971692,0.6557884451354127,1.071555569648398,0.7007484954190996,0.7271750585810005,0.5986017547542408,0.637086752752666,0.59459793954584,0.5609864854577262,0.8631946389744026,0.5381470282114429,0.5377912259876688,0.7206072726118632,0.49370906572974027,0.37747290352300067,0.3202687451858275,0.36925491755189654,0.39601543461286054,0.3937234120060621,0.46237087698426005,0.5077351502610491,0.7759003609188424,0.6129987451470054,0.5947208695574425,0.46356997803421895,0.4711958910255362,0.3589537086458415,0.30326205871928363,0.315626056254861,0.42088159776954437,0.3596997140073807,0.3677980786861186,0.3841299432847939,0.3606945273959751,0.4497614314275806,0.35072071235829927,0.4946284495313534,0.4045701809985454,0.4006989005811238,0.6216143268606288,0.4607822621154082,0.5337051562831432,0.43295651378593636,0.7067210737697833,0.73496727134675,0.5520449008124679,0.539790611683265,0.4230994016426817,0.4309393874770051,0.3737833754800388,0.4287018982180416,0.4041654392977396,0.40451158141641647,0.5139064090892941,0.6310997759937319,1.2859587888856556,1.869954916982726,1.3753977784672218,0.803459941253155,0.5687888816012828,0.5739660207166091,0.5273800073949246,0.522256479885787,0.4266688353939176,0.4203489519988998,0.4008879287849426,0.4366489442361188,0.4577202838140815,0.555480957855492,0.5053930317138564,0.6698244085940034,0.6479459738182094,0.6624368076730005,0.5003846149320463,0.43864842093693407,0.4564919109160909,0.41832988049286357,0.445205876115867,0.5276765430630208,0.5415533162367631,0.8183059343987067,0.5402836279893537,0.5761644641338132,0.4663796423392163,0.4469479064140872,0.42934839075006814,0.4263217963932946,0.4540894098897279,0.68523690412,0.7609906225171634,0.8068520914913622,1.8214808066360624,0.7436798685586955,1.0187891734219754,0.8183189166071225,0.6494744053149996,0.5615350733061943,0.4207636624838447,0.4533700615601818,0.510402116555092,0.4057424820297441,0.45730949465060844,0.49643530821151255,0.4632680596040605,0.5376097555202487,0.43416119389057267,0.475691629371802,0.5376642416729295,0.5371563638963172,0.5935854626707587,0.59123306671066,0.6843253194535781,0.6122289039388931,0.656112702304423,0.720366142188305,0.7271135332207974,0.7226974083223302,0.8127056816184358,0.8004387328281066,0.9496399719447679,0.8704429581600455,0.7136773167866385,0.7509419900867452,0.7765811505165122,2.085213045199333,1.1203269312204283,1.7520179835561391,0.9607663193804316,0.8049122241846981,0.7971159773514209,0.8382835392857818,0.7179696259115381,0.5480797393283237,0.7156051557482761,0.667703399604378,0.826258617943066,0.6222337766379473,0.8814875625145482,0.7244703995129335,0.782858306102679,0.9094158339734213,0.5659662866110167,0.5329178183113716,0.5822105562004524,0.7160097957093609,0.8779908874256197,1.0657593073583926,1.032442509789057,0.8140253558904345,0.8135034555447317,0.9812919673211771,0.8478947164949865,0.7114560978614296,0.9309152256378085,0.9794739654795218,0.7666960673745669,0.8945669425810184,1.0952617704972003,1.0043540488109488,0.8808697576425634,0.961675540520329,0.8520043544475314,0.8249405479670737,0.7456463357441255,0.7480512852809552,0.7699281824626117,0.646846474034827,0.645725991573751,0.6507868650529901,0.6780336441627197,0.5525911993265075,0.5943279674032469,0.7838029167949313,0.7130186989598525,0.6817147701425958,0.7316806983840055,0.9345378904930723,0.8129918742815591,0.8319545263337013,0.9300357912872821,1.041215176160855,1.2155337190280022,0.8909001584046127,0.7348956594776537,0.6609573868377675,0.9364187719944054,0.8113825336485225,0.8996511736456729,0.8448227818237627,0.6815197641409791,0.5152777517319146,0.4317082542470704,0.4292666180564952,0.5485559259890979,0.5794632989030671,0.9408900168750327,1.604429768327002,0.6392430447999894,0.9038206891459871,1.0248491114684828,0.7623086322467586,0.6253261450465263,1.4984015225061824,1.3184533890841041,1.786384195303812,2.679384440216742,3.5932482716535503],[0.7191857165399504,0.5381482293177672,0.5238447790436747,0.49807366587032553,0.47825183055338255,0.43530122152900547,0.4027795750029967,0.4380750911718755,0.3950930380730472,0.4033835092102195,0.463588089822838,0.5545705382059273,0.47792751255882215,0.5039920514893356,0.650490470035971,0.6268707897960566,0.6179523640175892,0.6982713071927595,0.8064008474800362,0.7294851115784311,0.8422073376024064,0.8024946339863164,1.030461989234528,1.0846075762632248,0.8662555069426159,0.8617439421015267,0.6833663038863624,0.6104444336725373,0.6203159514770117,0.6206063063435266,0.7234495491341074,0.6768130059001698,0.8909973034643438,0.8099529516873184,0.7091301617931078,0.676228827907909,0.6784832895210838,0.6328007877933762,0.611274295343878,0.6188216419417721,0.7219331353430687,0.750984722729624,0.7453818769377302,0.8731536208800899,1.1318910322040177,1.4113159510165865,1.4402918972170673,1.078312566395894,1.2048125476482034,1.2341836810209565,1.016561150619069,2.85851619255655,1.6659405845338755,1.1369649728677353,1.294644260781352,0.8703881728766015,1.2854899519661347,0.8526963188609682,0.8857378421632064,1.0830767247496143,0.9266451371266224,1.1795314949578906,1.250758214829702,1.2400128368962435,0.902533750877695,0.871739809190837,1.0471948837178133,0.855444852563542,1.0889897931139543,0.8466383010026318,1.108158246780888,1.487505514257915,1.0024061250806204,1.195148844807667,0.8609327539760186,1.3552773214298648,0.8378213276922103,0.8341558035786999,0.7604059875551659,0.7530704753322712,0.7725296557724958,0.7773811641404389,1.2683128262718066,0.7774859458623069,0.6856934443809245,0.6546714578094961,0.6717875512238686,0.8241567219417503,0.6969724704586719,0.786241478669765,0.7934323465557964,0.9841027010750744,0.8570751906786394,0.8332146324038655,0.7280514154049881,0.796227357352831,0.8046057859733652,0.7564089465478453,0.7334119760264803,1.1287370300727346,0.7754743509686413,0.7692838939191321,0.6851291084815919,0.7061751924084296,0.6576832085904436,0.6012158872101244,0.8686594754475557,0.5459209250376107,0.5328089188994269,0.7661383831013616,0.5068517517016617,0.4370279472111598,0.40277272164696,0.4650443135015675,0.4995424473616436,0.5298921708460178,0.5937741606290122,0.6258772584469209,0.9075842934215136,0.7519099342921076,0.7040469942858334,0.5946591771562194,0.5758655645673533,0.4989911491657319,0.42136634509375437,0.4384197635243367,0.4668270733999912,0.4378319163602184,0.4327697248578172,0.4584429608256308,0.4680694863740864,0.5065365242716924,0.4352286482268189,0.5479357936708449,0.49432676603005,0.48764364935607946,0.6488052689751699,0.537403338289602,0.6124591676337583,0.5394572510177321,0.7704178210622754,0.8562367913446943,0.6764313263361202,0.648936070839501,0.5616397224326763,0.564666718686817,0.5093609111338101,0.5443621986344128,0.5046389439997175,0.4885482681797093,0.5744787729833077,0.7092310583444252,1.3184494959287152,1.9588653935818152,1.4633732438506148,0.8899073932777208,0.6548317921180351,0.653338323201154,0.6307176508026671,0.5939888709996762,0.5247887016717435,0.5609056362090487,0.5290467817442357,0.5749440118225183,0.5399690887851493,0.6373207232791877,0.5953029479965922,0.7368628125183198,0.691615868052506,0.7040001156525295,0.5736962494908042,0.5267812678780431,0.5419655663914084,0.5271808266785228,0.5586557090614347,0.6121453186924988,0.6462500119395206,0.8973552706347503,0.663676398320385,0.6975602376168532,0.5791634381479109,0.5384694992428394,0.5288101785728583,0.5102935451118035,0.5354010272061348,0.7784512336978097,0.8494769838478708,0.8790354321912295,1.7815141200128122,0.8632178484590388,1.1162166662740975,0.9286657572954048,0.7526281987569834,0.6336495985377465,0.5158702345291409,0.5424698033104293,0.6087601079938986,0.4895326535659589,0.5113571974619716,0.5667704697567006,0.5113360625056873,0.5899107587811657,0.49525073775960066,0.5180526372658405,0.5584649179895775,0.5697847095518077,0.6405971153943442,0.6051125245210693,0.6919699976934931,0.6292233910064667,0.6629604738276029,0.7149776964997899,0.7316440249098041,0.7163670897537598,0.7966156519611789,0.7958207751404489,0.9249440581907786,0.8678210097357404,0.6852202248476832,0.7289911521006539,0.7624246858230792,2.119325586660956,1.0942146518268685,1.6942327516150295,0.9603345962164238,0.7990476975213416,0.785217740051538,0.8321794560530413,0.7011915955606063,0.5643881044988195,0.7417512445042052,0.6950352267793574,0.83949500863133,0.6412783233856878,0.9318609538660997,0.7521857350736244,0.8080336743318056,0.935827403581192,0.6066985468702348,0.5830487071257193,0.6512453863841742,0.7616129363374883,0.9488023910316747,1.0929706547516682,1.1115181297128078,0.8654025524825412,0.8319476386324695,1.0057594580334712,0.8889800638921682,0.7271669333554883,0.9392027314213753,0.9898312157106074,0.7770768075274347,0.8890117594820284,1.0911613197403336,1.0027732740579194,0.8786756710562496,0.9461163717825403,0.8398216970686367,0.8161882444428774,0.7488615420726846,0.7496783602997196,0.7577110824622035,0.6474947319181855,0.6551142155608313,0.6378969563366186,0.6647441960527557,0.5474282065337217,0.5853593929138442,0.7615659552725776,0.713899982776332,0.7099977083542821,0.7274368330183174,0.9363434278720623,0.8377314016910505,0.8471948833497854,0.930509071096715,1.0423876647821873,1.1684798549585662,0.8810751044643808,0.736616567216592,0.6697045977464515,0.9205098386946909,0.824733079049334,0.9240469748597608,0.888044017066295,0.7146663613614352,0.5926857788848534,0.5182946879908639,0.5206014335025164,0.601679222651836,0.5764174769285441,0.932326009046408,1.6457325123808193,0.6829407334609598,0.9061244024393952,1.0955490044932752,0.7805170517381113,0.6424042562873492,1.5215394745200561,1.4885438551858208,2.108372951784578,3.068166486522653,3.8939747972680765],[0.7674098107981449,0.506346877769942,0.4841971605506339,0.42441668354941764,0.3757152165463563,0.3848856273942748,0.34958372754019224,0.4177214647675678,0.3536384344097593,0.34168558554405754,0.4160156932782483,0.5142007341907873,0.43758759845579787,0.43955065723053866,0.6303903950683307,0.5916985503915856,0.5707868824917905,0.679198290731872,0.7789211183942549,0.7034477481254863,0.7995376269901461,0.7623680346484745,0.9810913731873122,1.0753500649906742,0.8128378042125262,0.7997688804548662,0.6325132227795639,0.5607431719901624,0.5892838000472567,0.59596468920106,0.7004660705485983,0.6524450753842744,0.8746405516313832,0.7992683687552459,0.7054219485437715,0.6650918522437796,0.6550692628989515,0.5959776840116845,0.5666292796078986,0.5927089446828557,0.6565472859210942,0.6817204269933492,0.683014728447043,0.7811668610958536,0.9958001532576933,1.3183137491990484,1.315305607329155,0.965178600130824,1.1560852847854368,1.1355238919104926,0.929384356325457,2.9364875434464017,1.7344242061655955,1.1682885197326263,1.239032010238038,0.866233772378733,1.3287235511356301,0.8910273945379502,0.8449531077322326,1.0359958180172304,0.9005997505507447,1.211780634792353,1.262704671959745,1.212163084675611,0.8667579324791143,0.8311767077512082,1.0330439992537512,0.8512955180403462,1.0514749309927103,0.8455140058618978,1.0784296267053677,1.5019964600410871,1.0257181201379597,1.1835893832425004,0.8591359441047197,1.3008715822068568,0.829974361911343,0.830896468766465,0.759980679683356,0.735747126785611,0.7813076078950729,0.7590472664904213,1.2737903314045567,0.8424734552402263,0.6645732483477659,0.6478749826266326,0.6525455217695793,0.8207557845336292,0.6904517186514402,0.788096980091021,0.7932437717948042,0.9455867225217458,0.8460938732898754,0.8140691789850097,0.7085705138575028,0.7724572265288857,0.7889501487128352,0.7309022512258178,0.7177387687859486,1.126269080976228,0.7592692384009266,0.7702498162871436,0.6785654655264982,0.7010159335519145,0.6553534577966434,0.5998744088892157,0.8683377888891528,0.5629423314307873,0.5564261515941543,0.7719922985432844,0.502248538043966,0.4128055758301631,0.369977979498435,0.4068706785231581,0.4355163253982776,0.4418094027752502,0.5142869491631707,0.550185603934933,0.8119593853518886,0.6778685809086893,0.6419054516001332,0.5030899186935793,0.5037384467201343,0.4034558278495598,0.3294716124606361,0.33998311632172523,0.4241846611834505,0.41282032247881306,0.4117013402191324,0.4379024790543142,0.3946798372638701,0.48137136648049794,0.39371452966757714,0.5292224260568212,0.4362561204720728,0.4269030527389753,0.5809883787998008,0.4599844004330336,0.5674638878630223,0.46687894430596816,0.707303985284711,0.762525600455848,0.6092951413429509,0.6002737905161276,0.4899800464690066,0.5141425582918592,0.4446456513869521,0.4891231777877892,0.4555848434304906,0.45148677590855213,0.552606265933494,0.6701184624020768,1.3115997693254153,1.9520601143259089,1.425189903007314,0.8639131822619671,0.6340875179085939,0.6385461308065516,0.613020274623707,0.5783282538697887,0.47511848943585283,0.5180978028043807,0.4573543951682345,0.511763618456326,0.5094655651452178,0.5693518681616597,0.5273521307280223,0.65641220351221,0.6268057229364676,0.6484027416550358,0.5071252669015094,0.4467711428772353,0.4981167484613854,0.4821222130391405,0.5343284948555017,0.6083705868950663,0.6253312707463639,0.8832722529642716,0.6457615894356591,0.6940739677045796,0.5351446557723767,0.5007704877794732,0.48332084140344206,0.48502252806063173,0.5071550947093196,0.7624953095623989,0.8010813825951651,0.8584216592344505,1.7240146203365478,0.7642111569021346,1.070576232646372,0.8712876148489611,0.6854955495383481,0.5895804528938833,0.45505392879900464,0.4730579879813804,0.5656316106283277,0.42518654967293273,0.4427717704751537,0.5151227068190218,0.48724337480550217,0.5847675041178251,0.4654488091014572,0.47479424179198315,0.5595598645347286,0.5662513592241326,0.5968600166485647,0.5931036293906314,0.696336139804966,0.6294562953482653,0.662972977158767,0.7304459417323625,0.7462927269624361,0.7210901884713324,0.8025695410192543,0.7790073994200144,0.9502781084761159,0.8277797658881926,0.6910124125836277,0.7436335794863334,0.7638356398610119,2.2230489643471243,1.0728780690902933,1.7241773233318076,0.9636116665523673,0.8256370458139665,0.8058191293440332,0.8731513136695774,0.6999856276121644,0.5610957590128178,0.7575705169555447,0.6833478337026277,0.7668315804858112,0.5941215199490255,0.9417480694674674,0.6356762877400097,0.7351252073176308,0.9045911762250496,0.543754252390968,0.5699826115653162,0.6472441743948103,0.7822412356667487,0.9668125534514874,1.1180002245001852,1.1257658787375855,0.8801046791991977,0.8413590074371919,1.013069820282169,0.8853755467287853,0.7229682222438748,0.9341584756068712,0.9716006030570119,0.7697110388573108,0.8887967544326342,1.0883247801501745,0.9956130388617097,0.8922364604256059,0.9619926809393167,0.8549611596189571,0.8308907047158528,0.7645705053282424,0.7758655852677545,0.7690855391706757,0.6514597872305633,0.6632074926908351,0.6384458368015377,0.6607897580448661,0.5386494116576588,0.5774860507785833,0.7342935439561896,0.6688335002079656,0.6273546936318946,0.6846995383456209,0.8616948004395737,0.7771131998612638,0.7855810282204291,0.8597793973532453,1.0146409554017217,1.1309999937732307,0.83791696214914,0.6896982084906693,0.6482517153721253,0.901500260234751,0.7583445579240278,0.8347060942530987,0.7981656383548883,0.6319016510190365,0.5021426263416177,0.44626310057088714,0.4396936944090201,0.5685480349347376,0.5847729070132416,0.9780457004334275,1.6622832871085578,0.7366017883934306,0.9646629617682768,1.1875375229323695,0.7862557035298858,0.6572679551430928,1.612664838956162,1.6822130765976249,2.3423318312994086,3.4236102856511437,4.260677782630865],[0.8870782848964456,0.6863066893795944,0.6980641164829208,0.624908733496849,0.598037810176025,0.617405421175731,0.5955736251397341,0.6800825296926505,0.6098819604626138,0.5588462229645963,0.6044312128678073,0.7234476008309665,0.6295273283984137,0.6086348629964035,0.7685520548213701,0.7725981242946863,0.7356123915801074,0.8051886239725051,0.8879290008590672,0.8254773469843901,0.915572967510007,0.8918816564232321,1.082657482464671,1.1440919573396595,0.899833048088098,0.8991877491377249,0.7848074844590088,0.716346944781288,0.7449943556372031,0.7723507153573003,0.8381525955486565,0.8379119510833842,1.0156476065463536,0.9561919830741841,0.8794111474252869,0.8174461348457776,0.83706257316881,0.7660333537708023,0.7407488991548179,0.7720111343465792,0.8043839047981259,0.8206771701699591,0.8130813707980108,0.9069141656364146,1.0671299560963186,1.3637523747902889,1.3482603947972764,1.066495050520968,1.2965677694119673,1.2297118163227305,1.040239394683929,3.0180917785438686,1.8491216655825045,1.352900035101773,1.3743707394559803,1.087416786415521,1.4914995797857742,1.1571974762165178,1.0503955168306172,1.146035540776334,1.0452406159959995,1.3252858102604372,1.3661542444507253,1.350352294916548,1.0071925284099683,0.9490991492596842,1.1340410531478062,0.9672689794453754,1.0990352163542358,0.9278462049608628,1.1463986890473399,1.5811604803833919,1.1000795052324535,1.2529946864468589,0.9831433057255892,1.3361813019947522,0.9840628680070033,0.9979815185563159,0.9212524863176493,0.9081181857692839,0.9581442134822185,0.9189438919246514,1.3583346289566944,1.0337117974166892,0.8240039583862026,0.8177159801558892,0.8245385498639993,0.9807630032207416,0.841772769334396,0.9449766902716314,0.9367286100399667,1.053846838671916,0.9713698494581672,0.9449982909617299,0.8483319058243409,0.8883271138420918,0.8749322960245679,0.8912098290685387,0.9065316150614644,1.3076195168175055,0.9702127245518871,0.9900812539512103,0.9229128587183426,0.9357617467895514,0.9140962150529965,0.8428760877425675,1.0855341215290666,0.812690389815584,0.8054468350273549,1.0075953845894066,0.7504632241108488,0.667167179922833,0.6303178606992169,0.6332563311904424,0.6208909362414051,0.621419741831915,0.6659512962702037,0.6810827083390699,0.9275338113140918,0.8052968840538516,0.7474066556126303,0.6554481169792756,0.6347692104306838,0.5645584833094045,0.5372312036084057,0.5695790671240111,0.6382337379953206,0.6552875207776337,0.6493761572469605,0.6627921973594171,0.6421501060638729,0.7088099748615931,0.6381618428107094,0.7315891203865332,0.6703310003754729,0.657278577858015,0.75826342339311,0.6780586314561993,0.7352579761719616,0.6463889923509492,0.825953449044321,0.8935132761732414,0.7833212208542945,0.6651711239530306,0.6803111290941154,0.7038432301797498,0.644294216599252,0.6902478366314045,0.7039251527482577,0.6957725491767421,0.8074738002006665,0.8938167844090719,1.4736423002114092,2.048195426584284,1.5360849153278218,1.0761635270715186,0.8622643939131149,0.8754154748097688,0.8435827673555019,0.8096852923704381,0.7121623831752677,0.7290407284919346,0.6541282513721512,0.6921162753403286,0.6755182539720695,0.7311736106698015,0.7288269791714376,0.7951752263479716,0.7776391258940611,0.7911783954190756,0.6952029813041979,0.6582338879976494,0.7087053951669156,0.7116100531940452,0.764236108387078,0.8365272854960935,0.8389621604783102,1.0336800053012927,0.8564307481160484,0.8967963574369395,0.7687119246111569,0.7382194051783617,0.7244931872766894,0.718773275222518,0.7086929837666147,0.9041708396186752,0.9344750537530019,0.9727972699102293,1.7303199415925945,0.8878581740269292,1.2142671415596324,1.0173793002535445,0.8595620352592469,0.75777615581166,0.6600810816913455,0.7153139095770322,0.8092429620337966,0.6628520317465602,0.6786723601820178,0.7377818565582662,0.750657317366689,0.8294709823672004,0.7388058677820332,0.7474244917390175,0.8337985043522075,0.8358429622294429,0.8222592521568883,0.8417424253217158,0.9373144844003535,0.8685148769669879,0.8779333255974541,0.9339631958673137,0.945277338903918,0.9102465683901388,0.962154906096672,0.9305215186236365,1.1149964722490204,0.987422033362752,0.8919961141396374,0.9442001108578143,0.9528651268026366,2.404816523376942,1.2227120769163182,1.8243466244823319,1.1973003198604169,1.0686274361605541,1.0156106395612081,1.0889043810406451,0.9461232022764962,0.8500235298735505,0.9974065579946063,0.9217242958966825,0.9623743120307947,0.8163933470219314,1.080301281909075,0.7930537452467386,0.8891864169856993,1.0410994268187594,0.7548761119769182,0.7972927050773991,0.8915259583388345,0.986633789075712,1.156550344978397,1.317715882644591,1.30564915963348,1.0797709997196314,1.0604557767240417,1.2082072953168974,1.0875087973813555,0.9663106903604084,1.1293327229763208,1.1482626377395204,0.9993994640322605,1.1043007469042183,1.284656596602252,1.1845214111848648,1.1007109168829377,1.17751033222983,1.0808150292692873,1.0799110440538624,1.0210387726056744,1.035899545434003,1.0211840600933515,0.9179212356519648,0.9440502135211036,0.909746541420561,0.9174479695609546,0.8104255931079927,0.8524829361335003,0.9086743351805492,0.8798511933001876,0.8565960009000158,0.9085159637095914,1.0086635360952598,0.9541014386446022,0.9295500045377557,0.9703729578174835,1.0700695967742928,1.217001352557613,0.9585317741288951,0.8789155892806534,0.8398176452253652,1.0125990907062115,0.8912833845982444,0.942686506302589,0.9095808934205966,0.8155147896530304,0.7178222299558681,0.6733586933133564,0.6614050121458822,0.7875867911317499,0.7897013532031418,1.1291671537388719,1.7090724885350956,0.9935509928843739,1.149813523088519,1.384117567569056,0.9991390467541698,0.8394456840584695,1.7435088535127907,1.8898074054522307,2.5034040247641633,3.7261459262080856,4.575828657697595],[0.8440817420130756,0.5922713890324267,0.5784545830589131,0.4902109077970333,0.4444909258642978,0.4770386516943703,0.4456940647446668,0.5232470559235526,0.4457160754852299,0.3817111981496959,0.4364502109490011,0.5574904614820622,0.4667244300657257,0.45652139253170626,0.6607291722324408,0.6506167009406025,0.6259561408999315,0.7387045608764752,0.8470673603109226,0.7662281305529929,0.8719380398833673,0.8331247754136624,1.0403851137822664,1.1276799252064862,0.8588819108403531,0.8531466704706513,0.7102379939218757,0.6221959818328492,0.6541142990412439,0.6546102541990142,0.7470540974979358,0.7091838776144129,0.9433793161294002,0.8650882620899603,0.7696054690432842,0.7268179081911315,0.7276093355921117,0.6725433294184044,0.6494909931141171,0.6618164805474065,0.7192199297914945,0.7628809315469971,0.7605470939812268,0.8543280135549595,1.0456776238714198,1.3358621562479298,1.3383870578978265,1.029898499485457,1.2139111272145775,1.1640220066031315,1.0023256103460614,3.0170674676861364,1.8254175191020303,1.2979714254531665,1.2925250155151633,1.0103283625946984,1.4629003489918833,1.0815516705274464,0.9134833285395506,1.0915941009980439,0.9819716370163526,1.2655701043277297,1.3167574843668035,1.3008387374378845,0.9430810493867859,0.8975632773501383,1.081691047726281,0.9059345816365957,1.075798971553592,0.8912184693610483,1.1179382227894887,1.5790931856216166,1.072164058835301,1.2341457241840865,0.920635048242354,1.3240340626904155,0.9013232434575608,0.9021487717899052,0.8359301306471781,0.8185807547226178,0.8549708537779057,0.8270732239490806,1.29531762304262,0.9138782249496963,0.731797126125708,0.7080487857558192,0.7188343173417557,0.8886785011818052,0.7577156705261671,0.8519517710770986,0.8472103058092934,0.990809758433472,0.8954996335169819,0.8696372971337296,0.7559198204946769,0.8075224019722675,0.8077263109595014,0.7766144988955543,0.7656419179919269,1.1696179765316135,0.8203497853852886,0.8378204563390572,0.7671919091459134,0.7910155638399518,0.7537100980768932,0.6790645936193586,0.8905189632903499,0.6471806507937362,0.6526927276790141,0.8632461294726891,0.586945717373997,0.49374655880933427,0.45936226430290716,0.47479766668487006,0.48506074472337435,0.48442524231952244,0.5633035572540553,0.5995204033690761,0.8563573418495851,0.721161118720444,0.6817086598985032,0.5450291195985808,0.5381343162874471,0.4368166247164547,0.3798445444991068,0.4181753527109736,0.4813168753058524,0.508624172427853,0.49563787507614715,0.5080759020970075,0.48321381899578403,0.5541793906804062,0.4667502167125937,0.5953812301079517,0.5091605447886732,0.4994770842431882,0.640550005483921,0.5378153247640002,0.6439214900333067,0.5245254477493987,0.755087790815372,0.8182083372421102,0.6770586709023809,0.6241961122345555,0.5616226247719094,0.5802409248111144,0.5116536990651734,0.5494764194137809,0.5429796905929524,0.5278201162367776,0.6482762385056472,0.7592149022148282,1.3665356264412387,2.033644637001143,1.5235525584858736,0.9595177785359109,0.7022414581096306,0.7204270987270481,0.6881695897761099,0.6590207545795299,0.558094881312891,0.5907700290292418,0.52524867655446,0.5765516441412579,0.5550705549859095,0.6332306582531925,0.5903359823790262,0.6846370666620275,0.6613016233413391,0.6803042645078556,0.5553413139768614,0.5223134408121799,0.5659749743592554,0.5664037981565391,0.6226921971376194,0.6875096031506005,0.7006926056508942,0.9470413851727815,0.7313412709427594,0.7699499408930102,0.6199220972326772,0.5847302811268766,0.5671319135924939,0.5492106850039506,0.5444798398235691,0.8169278352644623,0.845623989715732,0.9236114379430669,1.6899748389385798,0.8218982839766059,1.151521467375622,0.929896252672936,0.7515628070619763,0.6231864058738074,0.509312006676001,0.5506009230158783,0.6690303871409918,0.522991094316865,0.5383616906199004,0.5994695174976017,0.600563337554862,0.6875672003809878,0.5848184325031777,0.5913206003400268,0.6822694743037087,0.692447284835661,0.6910738478377186,0.6941175426876235,0.8110937103433167,0.7386589188784618,0.7497755123863337,0.8232910392578205,0.8435014706749278,0.7867922701911693,0.8489468329440774,0.8189726020787725,1.00741295631058,0.8292162890433035,0.7443847240265726,0.8087931691678502,0.8358468675264723,2.39451616141287,1.1380008878358325,1.7113064119157937,1.1001810729737997,0.9456037227983493,0.9003767808551998,0.9763282796843266,0.7955767592488748,0.7015893028670354,0.8575040021696477,0.8010191997230007,0.8399200897151394,0.6663479715777667,1.0044844543564408,0.6597785621556446,0.7776941064720796,0.945266308689885,0.6307400159903687,0.6707875085267722,0.7851590420134165,0.885041987916894,1.0884522958471123,1.24618822230495,1.2542940737098016,0.9895332703697015,0.9615807267865626,1.1346868556173315,0.9975020112307587,0.8368262097582663,1.0197449239575251,1.0450793379626675,0.868989185389291,0.974885598344432,1.1628900108624496,1.0867681434185927,0.9917918980803274,1.0572117869978388,0.9568850482931013,0.946439281342669,0.89084894591696,0.9138961496119066,0.8838175881252346,0.7779262550702941,0.8019567042668042,0.7622067885876014,0.7708403213795145,0.6559348327080469,0.7063599058843578,0.7553773740094545,0.7213049655023592,0.7105704387539613,0.7601245158967531,0.865685942241765,0.7963650441802406,0.8021963342488377,0.8535871930910063,1.0440164807161612,1.0851265377413029,0.8317289305750291,0.7356899293920232,0.7092473726129896,0.9314142782617661,0.7828294072330465,0.8342932647950749,0.8077167433971453,0.6824783157856631,0.584301498493858,0.5449374397028846,0.5239025748505054,0.6651788933230656,0.6626064541606348,1.0253654614657706,1.6739738404584035,0.8783857317721211,1.0507342840536456,1.3383824412255925,0.8744384087474985,0.7473891303700869,1.672173217516759,1.9406326577057622,2.783662366082628,4.045255362718398,4.83489000062783],[0.7645068922295614,0.5200189182975783,0.48765503707097124,0.39617728682276765,0.38673098693330366,0.3789571604500077,0.3278299101573462,0.3903561524118241,0.32435373476513013,0.29219239242644984,0.3551376421443481,0.5099050364962713,0.39285793492232546,0.39382031486760366,0.5794980246193222,0.5775836918473077,0.567466697951274,0.6828719859809886,0.8123960766662959,0.7257126443754304,0.8352005863456082,0.7989518776824048,1.027304840690815,1.1252013343347427,0.8394271675215503,0.836068978667393,0.6747160988400019,0.5777525905099418,0.5949934782208002,0.5824642073527353,0.6806606103231474,0.6317140649129076,0.8807859652967415,0.793045130350343,0.6876656450469447,0.6535355548966079,0.6501840045577215,0.6072497543002192,0.5989647247744396,0.596703662523036,0.6781949713198142,0.7348797866253889,0.734470401230987,0.8333255239432626,1.046449383898049,1.3282284984571846,1.3361574941925687,1.027121098589894,1.1942921451324378,1.1646357225595267,0.9708467131890922,2.9238787051734976,1.7087651118018665,1.1926666169131228,1.2427941619483793,0.9285716346827073,1.3664082881352564,0.9552405205475407,0.8560117772272556,1.0653426687960685,0.9310135325931927,1.1899177890127726,1.2457081192844903,1.2299834851602205,0.8944168048143382,0.8479839097499274,1.0454091105323131,0.8464850718486422,1.0464111242414937,0.8351465456083834,1.0734399017182252,1.5136899740539058,0.9918959045470461,1.1701466347584302,0.8481092198300083,1.2939417645908065,0.8351828598856724,0.8226095183095323,0.751984300911883,0.7423705722046539,0.7694501128863209,0.7641815796575211,1.2355327757812398,0.804324397083118,0.6753588176105993,0.6344458655787235,0.6591940409025652,0.8079927958062252,0.6858701097495812,0.7823893398430308,0.7741489839970027,0.9493310747080799,0.8318347364978205,0.802461210031334,0.6873326811500761,0.7550313398668618,0.722190149170834,0.7113622835107635,0.685840427553723,1.1028976427223331,0.7230743139046231,0.7367707902132559,0.6561101519839886,0.6617636118175563,0.6140523038360411,0.5477775486814,0.7532732829432772,0.5000682549007188,0.502904772744113,0.7359871813756148,0.44840022305476845,0.3546041697649546,0.3325440704011206,0.37036325245825585,0.40448261880521413,0.43820760090916583,0.527722342344414,0.5792513621549917,0.8660520629217688,0.6967070296484642,0.6592665557880022,0.5081739971103203,0.509747598715913,0.38880778855664666,0.2962445037164373,0.3299015933892879,0.38904180602936733,0.3845639199342339,0.3812329934239074,0.40275426714499585,0.38051483344235265,0.44004301459260653,0.3709198341674317,0.5053144507590598,0.427349876187035,0.41013288025689687,0.5604347955779201,0.44739025950691896,0.5635472188173211,0.47564941028938384,0.7324740396404353,0.8159700655349322,0.653099445308855,0.6042985388948592,0.519077742257339,0.5234536571853343,0.44881061368832265,0.46615580476323387,0.44853179711463087,0.4089451338431295,0.5302081185967847,0.6762809451142141,1.2740333262333872,2.014767478288576,1.5467447649387842,0.8799391025856063,0.6156804558221359,0.6145520252775625,0.5794341502468005,0.5338817655713329,0.47162131825482734,0.5081252337324017,0.4744568285559396,0.5284860717527202,0.496548634844637,0.5824120968801051,0.5383916739352421,0.6539687567600074,0.6089495978276007,0.6262050322770152,0.49777075726506054,0.45419577707307435,0.48128191565418016,0.4755830607091552,0.5216194488786599,0.5690321075651037,0.5934136487237167,0.8472425424638573,0.6371624579595346,0.6653513687697213,0.5334740645104594,0.47875174540637605,0.4686665057451976,0.4616140884951508,0.4893597177134484,0.7704464278870576,0.8034301203471835,0.8863900462697725,1.6618716358938654,0.8006256032905243,1.1206291271590083,0.9175377330477937,0.7149862394175601,0.5861586745808546,0.44869560242730816,0.4650304566517291,0.5704627149218348,0.42060955492568325,0.45529412148488585,0.5158916104428543,0.46593495517786215,0.5483883892294755,0.45524080980631565,0.46060896227961023,0.5213686378190657,0.5426046749365707,0.5931431202267462,0.562957567688467,0.6488521520635223,0.6013164154135071,0.6267348595649554,0.6774701968678785,0.7084167298501107,0.6820360476901562,0.7479719433189262,0.7500019979903241,0.9051287051398014,0.7646930429912444,0.6165209492577141,0.664193960788158,0.6919137751727487,2.306088360606564,1.0005623968866872,1.5962586178069123,0.9684005122634544,0.7693976113047624,0.7577668721195023,0.8346552708913101,0.6303024215101513,0.5371083215751363,0.7104431703445167,0.6864143587701649,0.7374763550610658,0.5694256518127767,0.9448582167057257,0.6247162787925599,0.7259005519666066,0.9356322319561039,0.5428625588946893,0.5537947765766545,0.6551655963590499,0.7668706489276919,0.9794631143655812,1.088126895847935,1.1372392716766024,0.863953897540486,0.802147745625866,0.9907651049667534,0.8578341203535778,0.6671759347084769,0.8643505178883228,0.9078659251351497,0.7111459544644398,0.8051295279680593,1.0161022411324643,0.9554205535426207,0.8300579820003957,0.8752011973798444,0.7851152063780935,0.7595515707755339,0.7010842443587241,0.7226091690906769,0.699361314986762,0.6118508382362845,0.6338605434623493,0.5930827913034052,0.6255869794486101,0.5075508186479727,0.5450908937896458,0.6712875909593613,0.6462095594227194,0.6254733799489557,0.6679956276808566,0.8530574156258698,0.7752995189965315,0.7743952661138347,0.8549736808854362,1.0602900410891505,1.0488324212762075,0.8109380784443895,0.6780919308947613,0.6304920145427597,0.8840136040374675,0.738507028478112,0.8114653602364891,0.8018454223575188,0.6172938910478248,0.5069081712152246,0.4572582708910541,0.46070193018466643,0.569626800263964,0.501527002042977,0.8730009765842502,1.6593322347893613,0.7414770308352573,0.8872110403104019,1.2241404696220808,0.7448007083434596,0.6073010776592375,1.5374349976382145,1.8882179921971083,2.952811970713766,4.188147094725643,4.880022522405358],[0.7328161374491681,0.4931876042334793,0.4658775780012158,0.37470704219660994,0.37172370853975206,0.3492034186630775,0.30926439546118056,0.36463268723727815,0.30513466617439217,0.27617704046575614,0.3338931842210114,0.4725762172044405,0.3636192494775626,0.3707373423932648,0.5458812972154922,0.5276837879589733,0.5337819468017212,0.6251257260864048,0.7351694809587688,0.6581575321722561,0.7458501789679053,0.7102628446708414,0.9289128810833664,1.0275592909932323,0.7713880009844221,0.7689083562042565,0.6126833116475422,0.5329637795645156,0.5408677511782957,0.5355702025180633,0.6156167141366188,0.5658457781182952,0.7935226635018748,0.6988041470191552,0.604693551311388,0.5803199660980537,0.5839337438766818,0.5448946289200284,0.5420435898589648,0.5321805731266488,0.6243768581900793,0.664646307627074,0.652344693160093,0.7721911554516422,0.9992820081005311,1.3114609513974695,1.3005232823219468,0.9712322576924068,1.159670928322063,1.1279126075451908,0.9371305929173563,2.884827850069531,1.6701272433056182,1.1263114081906311,1.2342779130441237,0.812681521467562,1.2793802596859833,0.8099403847941558,0.8019000472701934,0.9860734796840173,0.8447005903761711,1.1062156864844683,1.1527103539306713,1.0990222447742701,0.7941845464969292,0.7650603799441308,0.9671199675120947,0.7784920756865817,0.9773101558391913,0.7761555695857004,1.033700122469613,1.4495196969055115,0.9388944613002587,1.0767324577376594,0.7619476579288562,1.1930802735143093,0.7336264271701072,0.7144248958247508,0.6496100448278461,0.6450404808250109,0.6948213604330938,0.7061525382063288,1.2070332557877932,0.7330896121100952,0.6317632400002959,0.5807518745147968,0.586229676773103,0.7408312799465123,0.5979313520295212,0.69081711435091,0.6827139386401296,0.8574257693332492,0.7435340458734873,0.7026060139608655,0.6152656564748916,0.6925161250822885,0.6773151053051025,0.6468776019225686,0.6290776264315568,1.0278885329512513,0.6572908000663427,0.6810242844005582,0.5927858832648442,0.6098009006442484,0.569344100628395,0.5153120731537293,0.7247180103097347,0.4666987372774407,0.4696934365215433,0.7071752011375527,0.4134858839681581,0.33804864854144656,0.31405679195228176,0.3570082351684481,0.391320393556888,0.415815734175112,0.4952888956345629,0.5356948617513054,0.7888626174185944,0.6600564171119361,0.6154194891266679,0.48506754718328454,0.4790998798478719,0.3706618899531107,0.29124190595910093,0.32621071709460175,0.3665988648792801,0.3727296037774295,0.3636002406769561,0.3788971257872012,0.3602524402169293,0.41634381777334956,0.3555344391486134,0.482286776169946,0.4153249650141515,0.4012504886750067,0.5597046015174194,0.4482255157331261,0.5718555038449342,0.45981542647133156,0.7115218120046803,0.7576394376223134,0.5917971134587164,0.5758933484056097,0.47801200157161056,0.48889683392061817,0.41852056988537056,0.44349496642667,0.4281763818534552,0.39308624152690946,0.5000991290788507,0.6568201281892098,1.2221887535141618,1.9505126042739647,1.5535003809069223,0.8218327597461759,0.5701977198537791,0.5664628479476308,0.5405959413456308,0.4992750252533581,0.44724515017169203,0.47374647378214313,0.44909053838016855,0.49519740496821085,0.47178394625246134,0.5717471440739287,0.5266313784460753,0.6412259447178207,0.6009250515568856,0.6207707776261125,0.49089557416054835,0.4416234423516369,0.46249970208279906,0.44885667083637165,0.48333966488740804,0.526143324611643,0.5505643530689962,0.8003665447768917,0.5900649902406147,0.6124966506160447,0.5019972957610782,0.44937306896869483,0.4431252357769441,0.44027516765798236,0.4694710043321749,0.7392552552860534,0.7737659153624554,0.8524093016094447,1.6791303186697497,0.7676133400104531,1.0959564037722844,0.8887845275084262,0.6954202368916543,0.5712866342675189,0.4376291018488601,0.45147820691188684,0.5528155345314327,0.4012788930302255,0.4391750872719266,0.5002333022111137,0.43051496444238835,0.5052202387715448,0.4236138984625025,0.42627370232861184,0.47502724321193246,0.4992489807172177,0.5724460592816545,0.5224301185809337,0.593001637107648,0.561226541082095,0.5909743108890294,0.6245889290728277,0.6595570832567275,0.6431380471396936,0.7065201898583182,0.7202772268270834,0.8672989646129233,0.7233921266440452,0.5778598635030022,0.6059554967741808,0.6350504186863162,2.2764720515934043,0.9632723038106736,1.5571974653119567,0.9486539193294158,0.7117639206408649,0.698512598785639,0.7802897331804024,0.5762412323868562,0.47912703611170376,0.6562119022258397,0.6467892753106623,0.7001724553988308,0.5342652032576777,0.9326167087292185,0.6238075656561062,0.7162972419299006,0.9266699200272751,0.52178376848281,0.5283383010483388,0.6123669101087182,0.7033861407366933,0.9208105132662882,1.024283100192312,1.082504980188905,0.7980034033335582,0.7246330072292883,0.9123035257419722,0.7908298379399704,0.6093006660312577,0.8002886122773453,0.8538099983030711,0.6529787803978346,0.7374022421611768,0.9451429618489743,0.9069742868394678,0.7719748836757523,0.8027423588861077,0.7143320118857422,0.6840179616951458,0.6297942089259355,0.6556492573874956,0.6239494984540782,0.5506193030188312,0.5767669150355534,0.5317046138976349,0.5731449098562222,0.46347244607510885,0.5017114499627326,0.6328222562401765,0.6165910389362321,0.5970771979287656,0.639861122058508,0.8281207495863013,0.7503554400312759,0.7460367923654426,0.8427185381593171,1.0715329121969295,1.0091614740857455,0.7794754727352479,0.6530112674987872,0.607669015577411,0.8771599703607003,0.716127578894229,0.7825421097887173,0.7756000270701134,0.5868334565107187,0.48660241050071723,0.4395624015893757,0.447623612925998,0.5481610475126597,0.44785256831789855,0.8134036721185004,1.6797777000385028,0.7042188640587735,0.8383275392198565,1.2128062652347091,0.7157599341408859,0.5658545079230858,1.4648430128965515,1.9209981645990684,3.148826112698589,4.386724060817084,4.991483247839147],[0.784911340006997,0.5381689979375035,0.5329233569434431,0.4026360708655089,0.44111674763586606,0.42642472551123706,0.4040642735621729,0.46828274261858116,0.4157027348423567,0.36937865662902547,0.4237721630876029,0.5923923457453784,0.46688461038734513,0.4419273814440404,0.6235032228198407,0.6245866344962624,0.6180725316641211,0.7243330799530011,0.8452713919808758,0.7558466022143466,0.8468163394130784,0.8137366897352376,1.0343113251021618,1.1578380195318412,0.8630156293407178,0.8605945781080849,0.7160118403128084,0.626044093424416,0.6383713397148515,0.62672110372076,0.6924737675119905,0.6520327315635764,0.872782022861763,0.7663803384321027,0.6886702271089645,0.6753752821719771,0.6837792666604067,0.6509437119805522,0.6512195172459493,0.6405503307832839,0.7211808453193547,0.7611622728042068,0.7497271502928081,0.8561412898329881,1.0276962351970322,1.3118160882956038,1.3043077665274112,1.0372360358065509,1.2136231901678811,1.1532799253843744,0.9838997776146104,2.9593034201943684,1.7434351600750468,1.235142207219963,1.2506157373933626,0.9511849269725301,1.3993173845098603,0.9914149742460318,0.8530937667335792,1.0572818483461144,0.9298321059357295,1.1878055842615844,1.233483005610864,1.1862349836133024,0.8870025558372273,0.850513017902557,1.0685946640637467,0.8697966842564487,1.0621067605003671,0.8659971305414832,1.1220015701681014,1.5424823457346186,1.0183162748635874,1.153626727094392,0.837394845757847,1.2378704031121628,0.8114671527273664,0.785427604347057,0.733709400622291,0.7393278970579513,0.7753786053104627,0.7796168062409443,1.2327855992748586,0.8353224701685958,0.7189132742826886,0.6681718992519682,0.6819791525474851,0.8121676006380639,0.6947576258138038,0.758037554270717,0.7546086234616017,0.9022086421856824,0.7990696984823457,0.7652950115923122,0.6830089109938681,0.7380307711438863,0.7284569634304482,0.724144684963841,0.7223959649850399,1.0788856990587943,0.7527092752098813,0.7534800731428211,0.7019538477754662,0.720056901661047,0.681207051335015,0.6161086989337708,0.8138843060784545,0.5846320904005919,0.5707825704214636,0.816657769051683,0.5206014521041961,0.4470009323925777,0.4242201247295813,0.45529028524371407,0.4711778291953552,0.4954938872204606,0.5782917941024212,0.6222158486706925,0.8454889396410012,0.7251904682684537,0.6874440731736208,0.5526989809936237,0.5563182334360162,0.4384068222243122,0.36555680046105504,0.41249202163305365,0.44776337413900213,0.46747742824192445,0.46464597730344886,0.4819172960603869,0.44946307420322873,0.5067943256303069,0.4493189439413866,0.5699829740295639,0.4966219342259135,0.47704004111897585,0.5973722908502146,0.5181183474252612,0.6317802541141234,0.5262711497195076,0.7610749320103557,0.82735334015346,0.6708865935229656,0.63467497522767,0.5750790917458679,0.5797484903351762,0.5114845590112584,0.5286181438931618,0.5292378449133712,0.4838116575667591,0.5764684803628066,0.7015230704944037,1.2251079059365946,1.9475646001514704,1.574135795978014,0.9028417533509626,0.6694543293232007,0.6669990614582338,0.6455631322293366,0.592050007675594,0.5424756232804229,0.5649752954905428,0.5359606763206922,0.5759592616165712,0.5465055511665103,0.6264714362885799,0.5783789830122662,0.6626265632674013,0.6122959602030197,0.6397871792671991,0.5352079190405175,0.5065691517810794,0.5434410850527996,0.5445389986921892,0.5844033706620975,0.6350201487369947,0.6467096251489792,0.8685290206385701,0.6868018056965959,0.7297768603049208,0.5975542344166729,0.5455628729172619,0.53872119817067,0.5397948838281788,0.5577687452972251,0.8341451960639752,0.8384291957433079,0.9187015491716215,1.6438834610506081,0.8261269996336591,1.1845892429035862,0.9416707409783949,0.7458183112536282,0.6087809405388385,0.4946618885387526,0.5272399565574336,0.6360793753126742,0.49055435247010204,0.5154846248803088,0.5856106133724626,0.5424142308596621,0.6203112545825501,0.5337621463360588,0.5185455320041321,0.5788142858156801,0.5945917365040749,0.6297662974050877,0.5915128867208191,0.656273379766084,0.6226602212837374,0.644062403135939,0.67193321126786,0.7090419469556102,0.6726701479704008,0.7249658728670474,0.7368205337063581,0.8900321410906239,0.7142934627912634,0.6105818839435337,0.6525181676757223,0.6911391825104298,2.399362190048876,1.00946248986819,1.5362669756146976,1.0034557018321173,0.7920306008965278,0.7827392104299247,0.8631059891837166,0.6550287075844411,0.5897605607838411,0.7586969007464458,0.7487223000600898,0.742955607394338,0.6095182748489048,1.0034794327670464,0.6628747560948244,0.7537264471063245,0.9536033393920282,0.5916590017337432,0.6226128136286686,0.7401965801211305,0.8069833627668812,1.0284139905293501,1.1387596349718532,1.1869264785813791,0.9011723261829847,0.8379784491864583,1.0162347817175357,0.8907368417462443,0.7057147807109156,0.878446428758366,0.9205749250968146,0.7205997462225862,0.7954693277474881,0.9877571712660042,0.9470747262872501,0.8062451560100314,0.831851422837079,0.7546086838061329,0.7449221569017492,0.7093303315679833,0.7476470868140034,0.6875284551419456,0.6296362098822187,0.6743191893911228,0.6089755282094331,0.6261348745991956,0.5428992948413993,0.5882781775008638,0.646861735179995,0.6355359642508871,0.6434619802974484,0.6715491767990514,0.837921662233769,0.7710227594934865,0.7701789043347782,0.8702294284750253,1.1176658277823617,0.9705913571617819,0.7766388171179007,0.6715460023538645,0.6514552243230071,0.9090962022185541,0.7316192737714337,0.7825627529042718,0.7951250563145699,0.6209041439468191,0.5507887487251242,0.5249147013534516,0.5217066763857736,0.6251401877438838,0.5560167499107359,0.8566453838583284,1.6864600744497684,0.833543338761437,0.8953335626363917,1.2920012592275498,0.782642840357827,0.6201653596215594,1.4639450769947588,2.039702517379197,3.359753494357221,4.7485762501333415,5.36828110046],[0.8673334040629346,0.6764388790143198,0.6378954824207739,0.5282810950601781,0.5285352678296653,0.5376036881163979,0.49785104896988047,0.5270014058489461,0.5007086451201785,0.41812508406141874,0.4511911809405464,0.5618441740014026,0.4726221598298506,0.481781189597592,0.6427003105387562,0.6143101277882759,0.6394904195339126,0.7172914550092843,0.8239141348911747,0.7495251364670565,0.8301476487464762,0.8076732373628084,1.0022999756049278,1.0808019047085078,0.833187706543534,0.8327331748209885,0.7047190699696865,0.6395449722794166,0.6300403651715354,0.6170917132726272,0.6601572913778588,0.609864217220494,0.7878001234938242,0.7231605832753141,0.6409725367161999,0.6418481113225777,0.6401711847532104,0.636844297356854,0.6401499733298085,0.6141674864480597,0.7152482559767404,0.7479580646905354,0.7396955237631087,0.8515190597511167,1.0293046686290126,1.3320229062581177,1.2969852989047064,1.0356246610634985,1.2295435303210114,1.170304452063753,1.016173382735039,2.939453596534971,1.7325282423251585,1.1899323091433285,1.2643679415659888,0.8757653639462,1.3444110893494663,0.885739587910698,0.8724110914480042,1.0302427673091539,0.9112308596431699,1.128096638585892,1.1324589123548154,1.1258198739650263,0.8694712479483611,0.8533646864194834,1.0243137920401697,0.8736103587897515,1.0478998399487631,0.8865784612257449,1.133558327049156,1.5046489447917288,1.0672446456955549,1.1290850480439347,0.8565282411968295,1.205345143837248,0.8226730613776538,0.7641483349944778,0.7091400395240631,0.7038648068164496,0.7442292133107966,0.7492470010630201,1.2365025460214465,0.7932837001094657,0.702894584383485,0.6427085333652054,0.6506839579199765,0.7827109782593689,0.6612632027679115,0.75013288803198,0.7407245902435606,0.890928306601519,0.7788014411428037,0.7150098674145479,0.6531449999254771,0.718926495221829,0.7038365839231119,0.664014200260598,0.6490616751107916,0.9864924365466203,0.6754961426347499,0.7018326393527433,0.6402665264798864,0.6772171265982185,0.643665131148576,0.6058592905894931,0.7880005655198047,0.5781334111503467,0.5700452060103693,0.810717003779197,0.532297499106631,0.4856770222326409,0.47354758285700277,0.4965092664524737,0.5033459364845967,0.5318172407031326,0.6123856131138615,0.6450969773236066,0.8534834385138388,0.757079386040379,0.71108307819642,0.6062478050595707,0.5801377736581073,0.4808117935384631,0.4371035197462475,0.47736969932162004,0.5079331955732453,0.4940341816482551,0.4789794190993893,0.4961564867782743,0.47107474334608773,0.5166591298434066,0.47697550725785337,0.5847811426661484,0.5247510894541768,0.5132274518168795,0.666879934434104,0.5799190116423092,0.6987999244354915,0.5653664292278885,0.7789596166325137,0.8182461353001401,0.6817678964182227,0.6279852791590453,0.5863184337596519,0.5906469461080784,0.5305638364549142,0.5459385819296099,0.5407339146445282,0.5096060239471345,0.5781452606744384,0.7039153370467266,1.1519172485428464,1.851918727009997,1.5580997810913881,0.8389000626549792,0.6184821847371633,0.6312163481854671,0.6154059339837681,0.590814034583321,0.5501141336775858,0.5636026961945394,0.5525576504786703,0.5740461502603602,0.5681727880583228,0.6561284579460576,0.6097825232864325,0.6969052951119856,0.6580843316935219,0.6827564681990065,0.5771203111042038,0.549608247935445,0.571196837896864,0.5559511242514859,0.5737043922085487,0.605340554400146,0.6228680451548269,0.8402221031643535,0.6632896251071796,0.6800779664298618,0.5913042969012966,0.5478258723933714,0.542605277562853,0.5406096988291189,0.5515543175478524,0.8059801870345495,0.817686173233961,0.9252008740641374,1.6917467015781462,0.8244267054925554,1.18673428621467,0.9330649886329657,0.741924740613416,0.6194865543920833,0.515417425266089,0.5326511462180215,0.6449312091842794,0.5016484642923956,0.5391221607656942,0.6080805366985176,0.5736768514339763,0.6352927180452485,0.5666177395467804,0.5677943707740836,0.6238792213182418,0.6442728982868864,0.6749596140299999,0.6476730131237756,0.7140950696424794,0.6827841056002001,0.7090529542979164,0.7384963465603763,0.7887474644138947,0.7414119107711548,0.7870762414602596,0.8150745616151626,0.9533222252239325,0.7872264341309825,0.6898072169850016,0.7204170032233197,0.7489621840676634,2.382282462955525,1.0459403370600364,1.5862139045667123,1.041281359374915,0.8149385461979878,0.8074574350227008,0.8929797012275109,0.6872613581416849,0.6115520208157613,0.7513567769027125,0.751986053025913,0.7486116849199336,0.6274858479533199,1.0141959026154315,0.6960017062701954,0.7733858102929694,0.9773703885511237,0.602360234699303,0.6283830485614873,0.731699934885893,0.8097103597140314,1.0274880407874394,1.1290035791755315,1.17655980053335,0.8975294159099189,0.8480539799953813,1.0284527289343317,0.9000458754884015,0.7433739115648157,0.9050539862159742,0.9596942909143533,0.7755108650542454,0.8413608003345768,1.0204277909621733,1.0031034214632444,0.8783744879883167,0.8980828112180785,0.8115515923525524,0.7840594115674347,0.7389476430520976,0.7771182466049106,0.744994819338734,0.680433015233635,0.6862637012277581,0.6509378473110661,0.6827642214234619,0.5980584404513808,0.6344743223430152,0.7201033198046506,0.7043455642826633,0.6847844961526339,0.7383776728325511,0.8986040844755387,0.8431379801414919,0.8451863961335829,0.9545336719686841,1.2016429168124048,1.022139552590652,0.8482214338757649,0.7519294221054663,0.7385748860075855,0.9846081384382634,0.8078350355594729,0.8317863389242317,0.8138764904763812,0.6606039588470443,0.5919962458290118,0.5484198466279834,0.5592284298075895,0.6688512627174173,0.5969057400848282,0.8854974751446814,1.7574459866167085,0.8354834501508962,0.9388674485108638,1.352736028578739,0.8388222928691538,0.7404192023441252,1.4954763796302586,2.14927026338116,3.65021068298239,5.02756799466853,5.574503257425868],[0.7046899056596254,0.5043123339265265,0.47933857623829923,0.41555945921876963,0.4658589327910239,0.4259956995802246,0.4039215502428027,0.4017563390859002,0.384545731980343,0.34202603401996595,0.36662122748077014,0.49145013655494285,0.4122369484686652,0.4070562871703658,0.5313677304258041,0.526241327462799,0.5771074410533035,0.6401975539346847,0.7629667934096085,0.6950485990015058,0.7952383011633938,0.7621211864225366,0.9689118730845667,1.045960783389906,0.8333152451390924,0.8300577746749591,0.6774312452743669,0.5860866616649326,0.5790449982206989,0.5559181835701107,0.6111051794333843,0.5495534048453787,0.7579156966845811,0.6697520605418081,0.587818484150769,0.6047480933334949,0.5825265863026885,0.5727204451271671,0.5890749653920863,0.5865097870610597,0.6846552361391481,0.7254812427420453,0.716144767064975,0.8560123973002928,1.0869202554149866,1.359718187506106,1.3968634839904015,1.0616759629626624,1.2090188490356473,1.2104683871047384,1.0067774557219678,2.8353456026010964,1.6064839372930761,1.1149992508912414,1.264697329706097,0.8401544091911244,1.2545202751899778,0.7790846019145584,0.8251439183369162,1.0730458136366967,0.898353001544907,1.0921055089818654,1.1589531615153006,1.1325499888144255,0.8349765984112313,0.8122332169138661,0.996761523441113,0.7838209381694138,0.9887157502441838,0.77976247973988,1.0209248141361853,1.386290031594849,0.919952069905448,1.0966161503210488,0.7589661700039066,1.2173583442717482,0.7421265781858928,0.7019777416828383,0.6496273310695114,0.659516053509919,0.6617413511655184,0.7078789198863544,1.191870036093041,0.6930455935325102,0.6689217258589579,0.5855319425507342,0.6018624415334546,0.716965132795752,0.6142583163041259,0.6583558217170762,0.6817418713140466,0.9016745018862798,0.7473545715695648,0.6869698983147097,0.5960940798909984,0.7092923844493163,0.6412719208393237,0.6239828558426435,0.5852017541368663,0.9316306626112949,0.6058321376936869,0.6258952352983802,0.5649072863049672,0.5884444361814244,0.5552812255847587,0.5241319468130671,0.6938438973406293,0.48441040323544904,0.4784899663292667,0.7182306037696872,0.4211178181620978,0.4152713867546857,0.40148416140292026,0.4231999401397282,0.45136815431268196,0.4852520234216767,0.5490388328227083,0.591535927356912,0.8645508689931414,0.7066329535722891,0.6504551166633182,0.5236297696698325,0.54792127011415,0.43604103143685363,0.3783032479480912,0.3940164438953072,0.4426416851866162,0.41031445950258,0.41761610307177793,0.4577765761902262,0.4441854975248525,0.4798333638571609,0.44486367223387174,0.5529956347880536,0.4783514730103592,0.4668477541970756,0.6037996300635531,0.5039787832027466,0.5839549996498531,0.5189662881906603,0.7417259683837009,0.8333699399802872,0.6665159223872117,0.6406635635800347,0.5505636691297568,0.5399091208750455,0.48071685169139183,0.4986135243900158,0.4862296230076796,0.44819415005831875,0.4970362800025643,0.6607088836606818,1.1346066810682538,1.8435381475425034,1.5575201540471393,0.7678797049304229,0.5345964763231956,0.5341350205658346,0.5425311582892272,0.516822612550992,0.5076843113523748,0.5058928327234833,0.5005689561411923,0.5456975988914538,0.5234336902723541,0.5920934059779326,0.5777613122654226,0.6883120806929663,0.6376833696622157,0.6468479937133691,0.5514525659756494,0.5016067127443403,0.5122007023918578,0.49354471188458743,0.5074372924348904,0.5375835056593595,0.5623646174515503,0.7522899510833951,0.6012103724513956,0.6134043446997587,0.5397960617922417,0.5042022259380884,0.5066318006148547,0.5133481805341917,0.5422805882244738,0.7434261340758324,0.8021399625973519,0.9056479312504859,1.6706797115483698,0.8651127746248076,1.1048989212774323,0.9919964423216335,0.7687878010110627,0.6588759037289316,0.5325850537591796,0.5334464244566822,0.5818128412777893,0.476559531601171,0.4820510832259346,0.5667793084710208,0.46652457436515254,0.5219859350586497,0.4545994168421702,0.4507958833948279,0.47845654636119017,0.5052652137675342,0.5767320560849213,0.5209070199043616,0.5898872111962432,0.5672105574864248,0.5921695312595985,0.6149841656567225,0.658064957607318,0.6304498149834005,0.6904606438460793,0.7330108190849922,0.8425081978794496,0.732757281082723,0.567336240501062,0.5788802835142045,0.6129232173644509,2.1727069725907016,0.9533643545513756,1.5084760306813823,0.9555370033912466,0.7017395679828321,0.7226915611065791,0.7785748228816523,0.6077043023198687,0.5101992600934309,0.6437053736209972,0.6727049388509793,0.7118715069222414,0.5710979659541795,0.986080532362974,0.7347052699400852,0.7631327230535698,0.9643362149679948,0.5508648592575546,0.5660811589507658,0.6386519553542942,0.7100550834117625,0.9565949667727249,1.0197953440612844,1.1032592137764459,0.8162746578850232,0.7239116264127341,0.9173654322599456,0.8208945124603312,0.6166120729045648,0.7719447384914377,0.8404637721663403,0.6489189495836839,0.7065613105446586,0.9154600036541007,0.9104711488128063,0.7657890111757,0.7753812832352758,0.6923803220802489,0.6571602924862531,0.6187145576211599,0.6459950045212393,0.6145910962135728,0.5476795390303558,0.5500528276379671,0.5141435323770902,0.5555624226109913,0.4726818003214801,0.5139535665656831,0.6369118163972965,0.6148713367310165,0.6418132237179025,0.6473987886705529,0.8928699866672505,0.7911942643256996,0.7677189403882326,0.9011030589171883,1.108223555644756,0.992131839395726,0.7943398382030264,0.6910304676053004,0.6240198038885081,0.8846591310963118,0.7214354786422797,0.7941232116087261,0.804951001565663,0.6217982921022901,0.5385560188440043,0.4836925178326085,0.49105485118515346,0.5555747784894451,0.5007521353460191,0.798463055145544,1.7694901382702988,0.6433970701803007,0.8050381670644673,1.2139272704000288,0.727042371376333,0.6038608135749964,1.3734372781683128,1.882269841811956,3.307114248125502,4.428937265079974,4.911946457566109],[0.6536636548972095,0.4615223790075858,0.4416262796942067,0.37697963700688,0.47753438988538655,0.4192803845536395,0.4109298674732061,0.3939898515245635,0.3784590027074558,0.34041557483001655,0.35620124707377504,0.47966912595233924,0.4148473670438193,0.40746583804019926,0.49774861898854433,0.4801436721595725,0.5657396749811838,0.6070776682414809,0.7252577374183287,0.6752735267232246,0.7723612018175658,0.7401543141552644,0.9348511584398517,1.0281339839855343,0.8460336910657128,0.8340127628506578,0.6808082621912102,0.5857062866674929,0.560787503418507,0.5314943710401406,0.567727766496529,0.5102406084307308,0.6886470260121248,0.6093553875707798,0.536757126167568,0.5618233230160574,0.5416061116282611,0.5557911119610139,0.5820666206850069,0.5834335883652686,0.6834533093422294,0.7145400893902797,0.7037047425862917,0.8587036175565977,1.10750566768609,1.371327420293724,1.4390745273858099,1.0778522674055238,1.196564387613817,1.2339010065018687,1.0325184068501363,2.7680988528272064,1.558834182341722,1.0716866016555744,1.2981639762167039,0.8122870205491981,1.2079337935938814,0.7078666053346409,0.8358890470429596,1.0964759293887691,0.8657095344651898,1.0113033290472986,1.0863030132199627,1.062988720003086,0.8038686746925877,0.7992293181715194,0.9840108461382785,0.7486063934331568,0.9729797973809713,0.738856847921473,0.979916572091326,1.2906214448494404,0.8564880471751231,1.0680523254221388,0.6805565712113777,1.1402061107839605,0.6878360116313404,0.629860197228768,0.5942542480806222,0.6231907713367648,0.6018689855546289,0.6868144896699347,1.1653830383399741,0.621530053991227,0.6676480837476291,0.5593163264427694,0.576598600326753,0.6613651656457615,0.5736418243638443,0.5994817994579723,0.6267779965795162,0.8578615939081019,0.6990900202645717,0.6341446620020624,0.5461538312353873,0.6868146629764518,0.6068913793028509,0.5710971598536901,0.5284499326181524,0.8639054658874895,0.5425420981603969,0.5939705680020128,0.5182750842000644,0.5419118500316535,0.5186204093353435,0.5058466414085746,0.6222246179595436,0.4897616307487727,0.4748670680756348,0.6769432235655424,0.409767662995703,0.40722252577302603,0.3996698916571758,0.41486265738408834,0.4484262393130622,0.48824441420703835,0.5542213446218294,0.6126216581108966,0.8548119642396165,0.6934526994756299,0.6549786762226936,0.529470785185423,0.5703141463435834,0.43149554486201264,0.36752182452618837,0.3853716517850417,0.42309807839174646,0.3867941462783203,0.40740424578670237,0.4562717247801349,0.46005422965720627,0.47755043435650474,0.4623003709338476,0.542899372802748,0.49000352446829165,0.4814747971490055,0.614714878033219,0.5108037104030598,0.5751403600575419,0.5405479670254841,0.7706321514857902,0.865364302975102,0.6897414743091377,0.6683931233367191,0.5634675590730303,0.5381339663102231,0.49168857367914887,0.4976647236200762,0.4749622795578969,0.4382986447563629,0.4800464090724986,0.6546352756492118,1.059300536706613,1.7645517784784006,1.5655906102387704,0.7126252274984111,0.4957307046893555,0.4921114245233539,0.5019957086720233,0.49329592999176236,0.5164606682813693,0.49980323088648293,0.512076406263446,0.563832559742117,0.5463716545633075,0.6106040476381905,0.5969709360758163,0.7216667714128373,0.6663439059868026,0.6691095579407835,0.5730518357431524,0.5248630395713242,0.5253685007654579,0.5063324646734102,0.5035965849621391,0.509614036289539,0.5348917612380314,0.7121014016970365,0.5690865062930093,0.5896768359402426,0.5496372831808923,0.499358202420678,0.5077773684347785,0.5250629031826243,0.553735571470255,0.7525095834544333,0.8243321483236192,0.9316158642104864,1.6935667151367602,0.9040050513382605,1.1125692365067683,1.0212006722263964,0.7960766055328418,0.6915878063637039,0.5699205100711549,0.5647731710178,0.5995946497032946,0.5011251865263143,0.49274274701441456,0.5717551433155937,0.45548020100783,0.5072116076742973,0.44254637076247577,0.43334820038658983,0.44643491590690076,0.47205382659569417,0.5340983101950201,0.4731092803381353,0.531451866748811,0.5135481134137001,0.534204419468328,0.552369019052897,0.611065814673724,0.5843973423512088,0.6468297207091582,0.6830543175121132,0.8082102931416142,0.6752453681311028,0.5110472688655529,0.5144411400009437,0.5541150797596536,2.085800858103705,0.9133300530621339,1.4582210648935678,0.941994072426371,0.6663228983755333,0.7032474437075386,0.7608703281181715,0.6080168499334234,0.5050636812611085,0.6267859316997243,0.6634782536717623,0.6939922860036736,0.5671392384484497,0.9993583176441794,0.7704179373864417,0.7706545191937227,1.0183537750211502,0.5594087179451893,0.573449713378941,0.6273922944490087,0.6891523949338348,0.9354469347391334,0.9931384648118073,1.092278719253087,0.8027096532240041,0.6986580199507061,0.8887210717044743,0.8049709617114756,0.5788429677101683,0.723462658041234,0.8049671375612419,0.6052050595462153,0.6392479523177433,0.8520776624732167,0.8715485475549909,0.6924299101245728,0.6936359918332093,0.6107659795817673,0.584207529095625,0.5606536148516369,0.5964263927982402,0.553940337432396,0.49474973814547163,0.5229975540876683,0.4725921403625833,0.5171195862019543,0.45343872172034483,0.4917431470699789,0.621872499979782,0.5944590995381134,0.6451697068000394,0.6432798076794936,0.8847672079207102,0.7837116820187905,0.7520692351634958,0.9147636899002562,1.110633636733225,0.9437441798049281,0.7552900037905574,0.6422918764683471,0.5639407666338119,0.8522019917752555,0.6892546177741757,0.7735851086088058,0.798097375227094,0.5935849048812432,0.521837391634075,0.48300443101599977,0.48034240202196565,0.5284237876407814,0.4958929477463757,0.7415852170679924,1.7714621250845297,0.592464241270062,0.7282505050840856,1.147088618117929,0.6953229143059789,0.559296418270148,1.2166891878724966,1.7666480910789273,3.321706687624284,4.322877498014599,4.712851786439325],[0.6300162133144827,0.4920306921511589,0.48014301303021023,0.44983945268982595,0.5958554926975861,0.4904644366392086,0.5367779168634127,0.5407254678435143,0.5224808786655046,0.5596196960549258,0.6310759943912124,0.7279798764589575,0.7102757228374937,0.6840620037080061,0.8199604030929404,0.7810626598567845,0.812075798106485,0.834133139668219,0.9272979128442433,0.9066698659834396,0.9734044420172123,0.9408207628926736,1.122758595441953,1.1732907934473737,1.054687923393426,1.0417789368051764,0.9022576490155725,0.8275276560714656,0.8270681724002322,0.8048545044309497,0.8764160027140011,0.8274667703263169,0.9881647731349978,0.9008445209230944,0.8517695449246132,0.8527062909203202,0.8378504914358101,0.825834987428238,0.8468509832405114,0.8432181911130123,0.8898665247168677,0.9200037363890177,0.9253466080919206,1.0810967243689453,1.317485673059554,1.5212277307829898,1.6473476052093268,1.2904150117899555,1.360062843540461,1.4553533721646355,1.275364439250142,2.7338949597881292,1.5875245617081781,1.221718633025091,1.4323364548325395,1.0312437050480945,1.3133384674894573,0.9202511994563491,0.9990054263315077,1.3155940561139756,1.0602215394908492,1.140896496820362,1.2507192218312035,1.2278333022302803,0.9883100619613167,1.0195648230159382,1.1264508687116563,0.932934745678135,1.1250464646385576,0.9458253627778606,1.0514238579526785,1.2156923467553122,0.9929868198928541,1.2132727724582069,0.9135561157074893,1.354297441580497,0.960836135282524,0.9272502458425187,0.9028342018114783,0.9145518862588125,0.8868585455173946,0.9379244894224138,1.2877686957274286,0.8709959529694334,0.9246797473997413,0.8332841148371019,0.8482702008218321,0.9309648184685998,0.8646059955185765,0.8855399648002097,0.9181073176926431,1.1295932600256215,1.0194063225209424,0.9517973082882396,0.8835530477189664,1.0069732409788301,0.9487300225733571,0.882854487539129,0.8170319664159719,1.0164443926130882,0.818708992378562,0.8034330931083542,0.7717342748404508,0.7453204389290219,0.7323313587623653,0.6898730391085136,0.7206287998313347,0.6705626687741592,0.6212159031302281,0.7681993193838548,0.5579006314859917,0.6142633974490481,0.6010969224992567,0.6049391385355506,0.6459834285489666,0.691861725403353,0.790751814637405,0.8292776736898964,1.0781146733808704,0.8936774728148253,0.8505313002743901,0.7409333452063703,0.7467809389847024,0.6168320202615951,0.5356772147000444,0.5604692359761633,0.5330348679367064,0.553622688014297,0.5939756729161113,0.6810059022432917,0.6621699008148444,0.6711704038374191,0.7005716255462244,0.7313523282302091,0.712580793314455,0.7062268638993907,0.7601080559927915,0.6904387500852931,0.7301861338563772,0.7554216663991333,0.9697149678361796,1.1159894049142853,0.9217544736689395,0.8850150998483911,0.8150849650451263,0.7863183976708059,0.7336274931048347,0.7094906396006284,0.701420341502415,0.6499261837076163,0.6432422240585592,0.7913370626272996,1.1011162445905962,1.7945668614653436,1.6734881552774288,0.8889087213895314,0.7368355354149755,0.7009356729854489,0.7363570045344028,0.7193184848992029,0.7709939859540745,0.7345543572499602,0.7432407259455357,0.8060505352648091,0.7997352913607054,0.8217328120162325,0.7994678031685504,0.9200968747167382,0.8583261094856222,0.8362276296996828,0.7692580144937586,0.7556685759639291,0.7447701242268115,0.7346330553650727,0.7414213761258711,0.7557722889415888,0.7997750845000926,0.9155197215928487,0.8349147240108884,0.8152312375634881,0.7822100172206834,0.7159854239061068,0.7200645867638704,0.7626226730241675,0.8014345378659525,0.9503112260392896,0.9962486949555072,1.174742996964955,1.7102030921843883,1.1439960264379807,1.2604454333583124,1.2492816952594992,1.0342710218353173,0.9333806241311299,0.8095722787974402,0.7818005503019388,0.770442002425866,0.6969082878972802,0.6604887947896234,0.7043019258086108,0.5838650254748896,0.6227137488670337,0.5649373825463706,0.5061853663674213,0.5177435700518296,0.5291180057736771,0.5631415632442337,0.4962598162419426,0.5394330732053947,0.5271637870740021,0.5511463201581144,0.5620100041460856,0.6180185572646174,0.600051525440636,0.6860731714404855,0.7093333551688087,0.8251335120873091,0.6932769908237831,0.5679569125661773,0.5309042662429481,0.607430876623786,2.0004592695451704,0.9494941886843824,1.4139446958782778,1.011383661156565,0.7300792962069952,0.7660751287369527,0.8219116819772141,0.6970668361007432,0.6212323063781552,0.7442220074649518,0.8004958663308981,0.8063835383258557,0.7085026187592104,1.0917816638608409,0.9201587875386018,0.8540590147407856,1.1356489928675035,0.6819048967193078,0.7358451757908285,0.7784976592429016,0.7892948832183061,1.0382274534154938,1.0448092259362058,1.1815423099935534,0.9028813930027199,0.7808777105884301,0.9613728179831252,0.8861569104040271,0.6285909220962164,0.7377658984481893,0.8164397822104095,0.616305473095752,0.633320229281993,0.8261880021046134,0.8589016915652887,0.6758827253086107,0.6688924121765072,0.5896346402178468,0.5882961619380954,0.5937753239615458,0.6556685695194147,0.5594597503396043,0.5233211231112863,0.6004471132373769,0.5324819962280637,0.5643662110068157,0.5440628988048846,0.5789407814743583,0.712000147481735,0.6603081522088767,0.7299464802202127,0.7514789715078605,0.9739759832980024,0.8759565962212649,0.8186350059343024,1.0133049995563574,1.1893215338631389,0.9746828960736198,0.7779739381867236,0.6699087643504837,0.5730875362241363,0.8399585730274715,0.7298721574742677,0.8595878719028857,0.8664841460451996,0.6722743083713454,0.6235791986799497,0.6117216238292139,0.6079625709251193,0.6231311435854526,0.6256047760770769,0.7713739993747757,1.7967156709074787,0.626747785442639,0.7042939391484646,1.1124546319434103,0.7316592923219153,0.5625625842432667,1.0927777211687035,1.6521350387971183,3.284734971225044,4.184246207700843,4.519745437291959],[0.6021312807534824,0.43514398540284255,0.41013964699607824,0.36630780259552576,0.45825765391224954,0.33657859730763967,0.34365106413915697,0.3601881580117428,0.34452037710722433,0.29689041058394444,0.31545517231969344,0.4359510793896229,0.3596328367424442,0.3772421034675462,0.4789290037313146,0.45614380675871014,0.5124335755017045,0.576549944866021,0.7122283800867598,0.6670952627197345,0.7826346650878834,0.7522306505054627,0.9606165724502459,1.0179677244697625,0.8793675632826069,0.8484651770071858,0.6620176071885228,0.5514306937899284,0.5280437739423168,0.49427330041570955,0.5596164634962553,0.4933196789602042,0.6786481744033952,0.6123476059244155,0.5225178761245033,0.5517968514390625,0.5052214312076151,0.5287508565337168,0.5546062008360114,0.5633317525447097,0.6574937165668003,0.6952186475470218,0.6942590490836597,0.8758378028054733,1.1769550737283903,1.4316547236041877,1.5433166818498973,1.106709449567926,1.203449598325482,1.2945122468656454,1.0776747218028613,2.711107834409754,1.518755183871706,1.0672466850005746,1.3477887129263209,0.7921479302283163,1.1547268155664312,0.6829245455292948,0.8267915498454232,1.1101143636154311,0.8516970329111574,0.9879845050867689,1.0770310671405454,1.1030874185296666,0.827326228176218,0.8086080465413104,0.9844400305956115,0.734600874559487,0.962813418325382,0.72384540117813,0.9440184464992667,1.2149674085478825,0.8459512317168278,1.0913440112445187,0.6987166739706079,1.1783182442411955,0.70874570476273,0.6487626048582694,0.6038596835335521,0.6248898963461016,0.5946527034160469,0.6592983572694907,1.173117434715508,0.5777485841903409,0.657927790839441,0.5367639593185431,0.5505853946394411,0.6338987202752315,0.5770485313762488,0.6036140596975174,0.6399190582629044,0.8999935586261576,0.7262293913546761,0.651288974731816,0.5465183296586247,0.698328887108735,0.6071646386510942,0.5635284986887109,0.511296273454934,0.880238663616735,0.5177572697365034,0.5643096938396909,0.4776443966622624,0.492074234778912,0.46322728273636354,0.4629435534386107,0.5983450503309863,0.45293963685574784,0.422225801705135,0.6389039998152535,0.36602800378631206,0.3623636874230629,0.3482851330068252,0.37636461541237765,0.40528702306922937,0.43812869657072584,0.5079752120725408,0.5896359050408895,0.8811899614082292,0.654518929619425,0.621570527945644,0.4867576419329994,0.5396538795367711,0.38383017476590336,0.3427533598604151,0.3440126132984913,0.35391228071509667,0.33617128743419994,0.34351936963407814,0.4022959146618956,0.4018195972504955,0.41381039736199227,0.41598232894731907,0.4748638126830964,0.44051365031699247,0.4315343811056641,0.5779632163416084,0.4589635017859252,0.5106686915659759,0.5182100752211048,0.7813628815352845,0.92347978207108,0.6673306684296966,0.6429325936686684,0.5276564100297714,0.4878285811429375,0.4345602429838188,0.43174917130077356,0.40794163345930345,0.3918335676722821,0.4469008023861295,0.6458638099830349,1.092257731284135,1.7879108859114972,1.547881747938809,0.6895821892736458,0.46296647016769404,0.4548630313125703,0.44484758248887535,0.4308669297041061,0.46800548081316135,0.4345766748060925,0.4531037024369131,0.532515707056634,0.520661005364494,0.5963725564662543,0.5577990198186111,0.728764236695151,0.6667333947793338,0.6509623146561049,0.5400837715255248,0.4986019107863903,0.4876528950542852,0.44945311047539865,0.43128657892171074,0.4473172687870568,0.4898856599297977,0.6853782275064331,0.5162745552210589,0.5055576092109518,0.49215337658486064,0.42069596088544103,0.4423840696230698,0.4703411890298345,0.5277719751404445,0.722137887144585,0.8156870935992452,0.9558867311140176,1.7277166714736278,0.9591019528002941,1.0726705808267223,1.044880265193614,0.8027825429396636,0.6978324258359045,0.5474029209343406,0.5339502589258891,0.5458394880668243,0.47313305318748744,0.46735066320182567,0.5080400112993622,0.38139367554217957,0.4371070593566286,0.3816797945378206,0.36818150585259823,0.3928574598548856,0.430481253000113,0.4875794924691774,0.4428123076724884,0.5207050728562658,0.4925751059812252,0.5193934678562567,0.5675124501211819,0.6379222312461003,0.5904392702916059,0.681870690566217,0.6779239055770354,0.834906202866245,0.685704333923418,0.5232025096762004,0.5225487092677585,0.5579522282880954,1.916176489697537,0.8937362955678104,1.490211437056258,0.9185713030327968,0.647713214684632,0.6804703347976091,0.7016137349146997,0.6220787767538927,0.44366965294361743,0.5733976726014555,0.6013778062776668,0.6775739717169147,0.5379666339774382,0.944873886984741,0.7901444283913513,0.7590172130083435,1.0255352264470683,0.5114570287072697,0.527321390638364,0.56149911711738,0.6205267285262371,0.8523583172951532,0.8912771617521337,0.9957229622596361,0.7297106481221715,0.6415615877239255,0.8220356880175905,0.7500544337031487,0.5505811108173407,0.732235426283668,0.8293897440304356,0.6147440464915394,0.6673241704214081,0.8824718054177493,0.9094676214902158,0.7207756999201397,0.7340578598678021,0.6268809701897237,0.5838511428417684,0.5189486413021598,0.5374179485371857,0.5279662147450253,0.4584990184382039,0.469344150894447,0.4452933349357517,0.4974675651653714,0.419836601598084,0.4525274001674664,0.6559372846269702,0.5841715751208818,0.6195744212916647,0.6434791186302872,0.9074763128819142,0.7989660663338474,0.7361813987414464,0.8930639202134726,1.0507879527505222,0.9901972414402248,0.7417972056992951,0.6157973189781532,0.5198887515521905,0.7803396490464746,0.651640664633035,0.7668511860797985,0.7964229108180444,0.5687035937109145,0.48554057522796223,0.42138856295799876,0.4180227312377126,0.45610073485066627,0.5068882954884799,0.7474770101624357,1.7786520487879653,0.520541668075651,0.6759763826068446,1.0238863695962428,0.6627617622355135,0.5095554898438588,1.1481554693427918,1.471577145302576,2.836696649530647,3.6167021023244956,4.020909439739447],[0.5879859705538015,0.5291725951362484,0.5444788102056483,0.4959390300006293,0.6132417671113374,0.4585356092969435,0.4322215835142599,0.4252112561743398,0.4401247722725803,0.45507464892177557,0.4535285228951591,0.49719930819736896,0.5152795366325317,0.5258427591332783,0.5765555669733223,0.5406426774464588,0.6145970074068328,0.6492537739202159,0.7662886725101984,0.7422663547662913,0.8499835821865016,0.824129526114804,1.0239403478537508,1.0368870775070351,0.9710766402217992,0.9118895059750785,0.749331534860513,0.6570968192371736,0.6421539917286071,0.5939916287445455,0.6473910135518197,0.5888119025116699,0.7168328851057396,0.6746643286695688,0.597818290396869,0.6376747477208708,0.5984980092141677,0.633481621392354,0.6640183633043801,0.6795436263619175,0.7759311950529904,0.7811238546604571,0.8080048182255786,0.9771718200117145,1.3281051815998903,1.5429685888705882,1.704492646174745,1.217571947301038,1.2692369023437717,1.449963758987791,1.214215269382391,2.524563733081884,1.4331319562144598,1.102658752285966,1.5461016314348517,0.8318283291173245,1.0895028836843472,0.8242980785275419,0.968973250553979,1.1997995563699762,0.9035222157931857,0.9906947863200855,1.0956648352639937,1.1119734071108403,0.8863682434742245,0.9084484891308349,1.012633606624578,0.7698072867406276,0.9496446953755964,0.7779331112855933,0.9446086099185439,1.1431832922705938,0.8749419492093736,1.115388458484468,0.7429341415682589,1.2726147396112857,0.7702346031889667,0.7181507574992716,0.6862513352434351,0.7339613051802841,0.6643877640912429,0.750549474969384,1.1499369055531037,0.6590049550990965,0.7472883203229416,0.6359691220640595,0.663768402991212,0.7024906743172288,0.6651772838248556,0.6851199934691187,0.7145208724002866,0.9860399453506341,0.8139505679643946,0.7199690403004864,0.6299760912707861,0.7702966219352477,0.6949970224491842,0.6266433870708465,0.5695064646685158,0.838760209215285,0.5842341753416651,0.6281059616914132,0.5641893955285063,0.5750979462749194,0.5782943261107354,0.5708208476497421,0.6353612535637018,0.5568418805061238,0.5224237217546689,0.6640578503542784,0.48234654282277833,0.4885645817066776,0.4706140645742234,0.48220459342126165,0.5205732234446556,0.5601257408649264,0.6447698272175544,0.7028204258950996,0.9784911953934528,0.7352789201935211,0.7228658051862732,0.6154479054671059,0.6263956283607011,0.5029175617926689,0.46377628556365075,0.4885374116127279,0.47965553913357095,0.49530736981397827,0.5126083113630185,0.5648159874317055,0.5789971566444239,0.5786176249305173,0.5707155838395432,0.5914985206193109,0.5789114775367434,0.5678928530506059,0.6814278840902598,0.5955439008739704,0.6081075819328291,0.6179367000280075,0.8370603781595205,1.040245771534486,0.7737679640569761,0.7326051895364765,0.6620249255829626,0.6114494082081335,0.5699692617100477,0.5519623542721531,0.533881235051022,0.5083439761820601,0.5340293470599776,0.6608601284877172,1.005633562649424,1.6746014012142125,1.5342208526248364,0.6963768352796732,0.5447775202607381,0.5236991906285884,0.550671003986813,0.5321308085028836,0.5863450042085542,0.5682833848511315,0.5767411744444321,0.6449352845547193,0.6224843452261037,0.7265307291181581,0.6717290896190123,0.8422720743026281,0.7698944195262613,0.7322782023163548,0.6450251830711092,0.6160982820364618,0.5924655183768256,0.588837408280468,0.5605940145972116,0.5702957868819922,0.5809811696137758,0.7051012846896931,0.6306427349812195,0.59718384008007,0.6267999699909598,0.54885382949075,0.5815321460380561,0.6210202797305945,0.6513960278972181,0.8451299230831989,0.9271837328490808,1.0890943739060606,1.8072429211045684,1.071796720214387,1.1518861493772266,1.1147661190487796,0.8724275035263221,0.7902863968833523,0.669767705443699,0.7140552535995685,0.6993886907277392,0.6476223810497331,0.6232522989713082,0.6873115549605265,0.5331618697868755,0.5430099845402253,0.5176248366978712,0.512775126512184,0.4921670924009841,0.5133867208947734,0.5978752754814096,0.550877597488077,0.5859499501756112,0.5871947814013213,0.623195999729905,0.6527736757865163,0.7087695265241348,0.6813365489644712,0.7863832955387282,0.7675256307819813,0.9015875147734078,0.7491858801468442,0.6338928319815158,0.596051327178037,0.6667157506482985,1.7819610200110687,0.936064584338693,1.3977046912968139,0.9783004554650191,0.6943268727541438,0.7450561713426038,0.7361996532373254,0.722975837105835,0.5926157948195121,0.6819350869411417,0.7659881651562879,0.8296876254278482,0.7222839784057205,1.0499021017410128,0.9896001105779546,0.9216891469646564,1.1491901270717522,0.6683007959426857,0.6901224650611093,0.6518336131484057,0.6863788159472138,0.8901025454221301,0.871645613493425,1.0089192364533537,0.772977142189148,0.652417273215896,0.7889691531383664,0.7573376199936104,0.5718891913157695,0.7054139666677589,0.8114022632569119,0.637709051807139,0.6729452594645631,0.8641619552811572,0.9465900471656624,0.7459784844570114,0.7467369001715515,0.6674441758258185,0.6222157684960067,0.5629852772397195,0.5864931511968444,0.5700409253281619,0.5500567600022369,0.5794150926359916,0.5612818587316057,0.602710448253499,0.5551088404082671,0.5971223442394674,0.7772570544989281,0.6743002519153666,0.7530667263220933,0.7631713694199926,0.998539065363889,0.8810681928505825,0.8096036700272387,1.0240413263845127,1.1646816817040524,1.0259913522273196,0.8178576166904961,0.6845522818770132,0.6082986398622434,0.8191723175176667,0.7381943448278877,0.881568141942626,0.8793284184254195,0.7050895286144753,0.6144862215906126,0.580585925503344,0.5654183244450868,0.5887989650833172,0.5538468251926042,0.6760232539931246,1.6908434817073967,0.5291228490850215,0.6218371160612182,0.901031474872664,0.6650843658692173,0.5593814099289198,0.9729435102884144,1.2071991051151438,2.5419897336274127,3.0926415745206723,3.4003255436064914],[0.572632047031619,0.4586985030049065,0.4442045220659866,0.3727533553456896,0.5175138959830493,0.35615990629758887,0.3131293189436825,0.35625947952464015,0.34996071861134176,0.29794366607855616,0.31719314566751583,0.4190193080839806,0.3348930705075639,0.35188178760453265,0.42404054466507923,0.3871716619052684,0.45899817097372214,0.5018657835426267,0.643172261151834,0.6086355302728106,0.7271265112832506,0.6967173852681341,0.9209539804738054,0.9693008074779487,0.8747350408235771,0.8080246721562128,0.6109434852333236,0.5090094695540269,0.470504018184024,0.4266962329870422,0.4945518499600108,0.44395570136430706,0.6047362742876778,0.5352049988139133,0.43703394970981474,0.4624399881761673,0.4382613968995306,0.46239739383377176,0.48732417371358366,0.5055873001539256,0.62854782928047,0.6504026243822544,0.6595155210438892,0.8636817451378666,1.2665042191329083,1.5153825924057043,1.6492442916232692,1.128205494241002,1.214142339712761,1.3773481261486467,1.101903775637378,2.5336755856310225,1.4155436327255968,1.0214166338700723,1.510206492599789,0.6893808322996225,1.001463196194995,0.6793416108345515,0.8896051967258051,1.0804407014430841,0.7861378771272235,0.9037829345474248,0.9821842023514804,0.9947421650851646,0.7674846549053785,0.7538952605439165,0.9213644443844016,0.6559634644853461,0.8785295712490935,0.6693667140459238,0.8874779667431502,1.1400593375593198,0.7926949318270841,1.0372224668873973,0.6196448867273058,1.1581050194749603,0.6257097703229451,0.5667826363330729,0.5242691561633456,0.5554704740942961,0.519724825636522,0.6039290449442647,1.0705321583615903,0.4804757589832272,0.6013458833103417,0.46137065807728916,0.502919253288708,0.5748041657005369,0.49916095973872066,0.5368369573203027,0.5603972721605983,0.8389838780054457,0.6691854690661533,0.5873591885134345,0.4943791361237427,0.6509931947135472,0.5817646450968261,0.5184450836404201,0.4741226777663577,0.861224257922456,0.4846108030062643,0.5628115339985743,0.42578901454399415,0.46352172292089333,0.4548206516560172,0.4603267792016063,0.6165213774709294,0.46465316199429996,0.4469515333943681,0.6522385082254417,0.41761188217583384,0.34716030186816776,0.32639811448604245,0.325485917926511,0.368875872896389,0.433419884749337,0.5022853838873936,0.5955233673022643,0.873867674643035,0.6254886291669647,0.6058338757240512,0.4736783184088972,0.5313793082370979,0.3943038618153025,0.3199571372954588,0.33475074178726694,0.3964523507129794,0.35220515842177863,0.3650908442108558,0.42421552810578433,0.4455711192120467,0.45444436715477604,0.43525768850124086,0.4724207486844489,0.4517205389961829,0.4484439808813615,0.6447584883961274,0.502129882119331,0.5279074659775509,0.507347411192137,0.777132713636491,0.9232047708080585,0.6598707417825369,0.6280520697170241,0.5123583908657965,0.43979062384387035,0.4018413035654664,0.38826271658992073,0.37441592072023555,0.3885754772674868,0.4647715119755111,0.6277689604559598,1.07930772816212,1.7233947417755777,1.5295140860517178,0.6757417875328363,0.44451614315753746,0.4393356864397858,0.41482994627182324,0.4092342989615751,0.4337302382253712,0.40504230867015084,0.43070549626560767,0.4854588249207119,0.4931446744747541,0.6365911864204877,0.5951406439846189,0.802916742970443,0.7454295260298822,0.7170454315370121,0.5823174708036759,0.4991120774877111,0.46418600335372273,0.4140135060374228,0.38458029596692955,0.4128218052781343,0.42512893145075514,0.5978580944885038,0.4603116364997179,0.4392806339087078,0.4704785323551687,0.397872681887602,0.4295508841997757,0.4938973344793621,0.5310869778197019,0.7221451340032672,0.8234910701881165,0.941982308801007,1.8055220975721458,0.9675125788733087,1.0573176942227314,0.9976246097115549,0.8014454468366595,0.7320699273465145,0.5882006919305889,0.6111478877277581,0.6002536566727618,0.5197448740443055,0.508738370396526,0.5416767064030898,0.41169871239752653,0.4445676191815858,0.41179515266081185,0.4217191505603652,0.4341529996086646,0.4841486000654115,0.516421087993682,0.5122517613700753,0.5966686462067956,0.5639414897188986,0.5861381488931116,0.6534720448151822,0.718570511428446,0.6638079452679599,0.7709785109381584,0.751235170852278,0.9155307186424837,0.7479099147422362,0.5974215181687416,0.5928188547506117,0.6240202782632218,1.7687809797437761,0.9562101784358057,1.5176856906284042,0.9490113698864,0.6713673187967156,0.7082978259764762,0.696807630693011,0.6841901470377526,0.48090699111666274,0.5588024613840405,0.648005798550585,0.7778452970610228,0.6051982978520544,0.9168523115000252,0.9042426471131664,0.8445791513259931,1.0148544595287265,0.5670921926502401,0.5505247466687103,0.5377694698841674,0.6052297675946229,0.817471819358658,0.8574918337853513,0.9657565143004583,0.7121682203951106,0.6456548093378881,0.7886159787340016,0.7467513074683024,0.6073165967370234,0.8044821704315427,0.9141764601767972,0.7116340057737509,0.7620569227550953,0.9742490532336039,1.025609137598251,0.7895805004736989,0.8178521276575612,0.7082829675677127,0.6704370950820681,0.581719059404959,0.5794715047913194,0.6088164286752092,0.5433024428901266,0.5182908876303206,0.524437043519297,0.5660195671125636,0.4783108093133945,0.5158723889078343,0.7385399392930664,0.6364669185399457,0.7080142054836508,0.7179141089901268,0.9796865226869943,0.8397101489801854,0.767994235509218,0.9203136816771552,1.0516943645872825,1.0544194309701345,0.7764403193136408,0.6602038619293431,0.5646183945425118,0.7898999717506909,0.6823168096053288,0.8187368047102732,0.8137076436474302,0.6435078936349389,0.53499265946403,0.4626908688884287,0.47393598448995633,0.4660318231310325,0.5310990245357793,0.7253738948585671,1.6768477446533485,0.4976676839796168,0.6533803824312138,0.8734147213315925,0.6526127724896197,0.5428099683612055,1.0483865329316235,1.08839173573776,2.1883753438208218,2.7120135268178744,3.2255978465121338],[0.5178821974162722,0.46999771545893043,0.4760694751965351,0.38000394691317185,0.5373157387654016,0.361546582666774,0.33026666966895146,0.3519893995753965,0.412839267387846,0.3788868916638518,0.3789614487865276,0.4409207903079986,0.39847734261665163,0.42422803857310576,0.48310819156447116,0.4326268921240576,0.5326694703316285,0.5593523636386756,0.6764709635533622,0.6595269166834173,0.7670778588790087,0.7570701415615052,0.9604006477549514,0.9761436853996076,0.9489952103656032,0.8433044974426926,0.6672164311398324,0.5661117937296489,0.5392465754358089,0.4813737960541695,0.5559019230198213,0.47254899796971195,0.6168805244107332,0.572239427249849,0.4964714692299613,0.551603911984087,0.48252037101551376,0.5354817345427698,0.55184570859491,0.5857512523039575,0.6972251172090086,0.6979395144912935,0.7162255605983122,0.9234564109874621,1.3166571887729475,1.5667897191633275,1.7430749805754355,1.1776353803979744,1.234721048303405,1.4436404433070444,1.1762004103898238,2.4740672089866704,1.4249691572995877,1.0633094972603627,1.6036150182551585,0.7615805702114121,0.9921005334255275,0.7955559615379308,0.960295719029646,1.1261988107203083,0.8168781075194776,0.8752226522223341,0.9727398777519911,1.002262163088896,0.8050520324642157,0.8006683992066085,0.9376304714110872,0.6966987511801512,0.9046758719374152,0.6900377282629286,0.8933490612988544,1.1056815500462853,0.8244111931568538,1.041501258034758,0.6592794129304027,1.1533067238381722,0.6894117623297414,0.6216518057106986,0.6024755989649843,0.6651337586576165,0.5606544688265287,0.641713022867,1.1002880262312043,0.5490761473591853,0.655127851750018,0.5262109666851208,0.5606038576197612,0.6264363537776565,0.5932169738836365,0.5825545755011775,0.6320962272100289,0.9059302352102234,0.7316787872078765,0.6241782088273322,0.5474215997318868,0.6930941958465464,0.6383979575568364,0.5501613902293737,0.48701814726242565,0.79642951741893,0.47681815656348026,0.5579065735191555,0.4411320184481782,0.4427881715520067,0.5232728621915109,0.4749264051703107,0.5566014918963088,0.4994369590148283,0.46106508519515776,0.5924745983894367,0.38069576538465666,0.41095452678861266,0.3737438141147492,0.41613212724878973,0.43291815687692325,0.5042431770759552,0.5542986769412941,0.6552897493436891,0.9119906727993073,0.6473330310642499,0.6518726687795712,0.5239396856822814,0.5858123206552609,0.44868178735269953,0.3647973710583918,0.3847121136858339,0.38966251270217567,0.36798732061230455,0.4386484372354399,0.5251116229217676,0.5503147171786104,0.5524784041345261,0.5406555977920668,0.5417129682361532,0.53152185815395,0.5200631439985862,0.6798589094292947,0.5909616213453581,0.5685167542763903,0.5591377759418408,0.7903036868326362,0.9736780525199961,0.7169705171447024,0.6668759976796667,0.5833959404627798,0.5140005239368772,0.4841980196203111,0.4676525851057438,0.41847369492242636,0.40873624704826367,0.4488054834380541,0.5479726196643665,0.9223261832018051,1.5736475004116053,1.494775509758038,0.6019212860450447,0.4243906420677924,0.40207289154032827,0.4169720261160644,0.4451452747686134,0.5254298006622103,0.4869972981289279,0.49170934156507523,0.5773298701396591,0.5847445281698646,0.7233548620794183,0.6602351722758097,0.8530986548973264,0.7966211666171282,0.7515056514731744,0.6399791727753221,0.5713997658595481,0.5363707570589246,0.5024557086051857,0.45594536123790075,0.4647567233621478,0.4792227084895,0.6243303756191821,0.5299180458758329,0.49997981907726036,0.5572621983340135,0.48436909499304315,0.5270221514558573,0.58668054108972,0.6147294282895751,0.7720125870963201,0.872071487915845,1.0227495075481678,1.8416074034626402,1.0794777928269095,1.1143278825279446,1.0508834055143772,0.8586810651632376,0.8215181456773519,0.7000424568200418,0.7293401854750821,0.6877469272768522,0.6164757250522429,0.5776049665184253,0.6247851996360009,0.46613516765566276,0.475062750076863,0.4570668014127501,0.45378932303617286,0.44392717055706477,0.4832908815579704,0.5374917536748619,0.5097168348467276,0.5610367357098635,0.5539948599837416,0.5758784647697472,0.6356757135707557,0.7094508027730053,0.6645028956454666,0.7862760339011916,0.7866848059135215,0.900013679164985,0.7675168338238825,0.6072061382224619,0.5877116302329393,0.6601569641239987,1.6164685569000652,0.9563574526252258,1.4326150640147608,0.9751780302376691,0.6546013296896952,0.6838892546843124,0.6557688313507563,0.7301277194860066,0.5377693132302507,0.6183520181691271,0.7474431500929929,0.8597021355884272,0.6953344054580329,0.9708337081316131,1.04481404191597,0.9179626254178643,1.0631512368003417,0.6225663132003265,0.6370261815045842,0.6059273096734747,0.6029088545628242,0.8024837983224071,0.8074072451711302,0.9056181139126185,0.7012791293836579,0.5840333807102098,0.7441540697994988,0.7064861357516465,0.5640693653637702,0.7264696455684027,0.8518756368170537,0.6660149961360378,0.7037312061302308,0.8973394785135701,0.9952611201952293,0.7487834343147354,0.7559773644901413,0.6580563326177256,0.6117461355370497,0.5365226170236984,0.5508426137781914,0.5688111972329498,0.5254619409447199,0.5258709470302921,0.5323707216958244,0.5762317820230025,0.5173071902219228,0.5673235269922589,0.7932073277750499,0.6612621494296663,0.7733766901474058,0.7846599363290366,1.0496137128988938,0.9052573989094119,0.8122416413117317,1.0078209785119419,1.1160608458019905,1.058013198655542,0.8069216613347389,0.6898876156912261,0.591784232894783,0.7930958350343906,0.7052817001267837,0.8739666380543634,0.8488773061253023,0.7012533394000121,0.5816416184875948,0.5275588707316448,0.5230821983745462,0.5004657639354875,0.6258985377323543,0.6886229078461142,1.6949070483717843,0.5023292071887994,0.5656080992919233,0.7773613128681688,0.5806579038148764,0.4967891498610428,0.8982078589375715,0.9411593518945984,2.0274691725981118,2.358669742638811,2.7884738436128207],[0.7582768068685207,0.7249418953682423,0.6472185340590403,0.5984236188091853,0.7175600089627093,0.5303103017555658,0.4659807237007662,0.43849679299169875,0.4669842540103915,0.4473318328078952,0.4611703168734285,0.4872410721993712,0.4758453857842471,0.5155205893240162,0.5647156741628123,0.5149297731196668,0.5863084336922896,0.649996474135,0.7674287361007777,0.7354704795450554,0.8367446851173168,0.8170333379732859,1.022423433338646,1.0276413451640305,1.007298109795447,0.8963291950461868,0.7128782980828748,0.6180675146066201,0.6006499013990725,0.5313487073817595,0.6249899858549379,0.5420040516495658,0.6309973493567863,0.6318885785671553,0.5635914536387182,0.6308414208234371,0.5331438213458042,0.5843802153365323,0.5893822177794801,0.6276323040862027,0.7256254859941245,0.74605945703643,0.7640801747471405,0.959043293657733,1.3398135605407833,1.5938655531113166,1.7953698318658364,1.2039571976072987,1.2436900691868809,1.4500515153080507,1.199964759861471,2.453189158924223,1.4556757618032505,1.0396327909215022,1.6183106928139963,0.7780652846787013,1.0187624126380204,0.8432172446271471,1.0099482832544482,1.1439857265746325,0.8782559850166753,0.950245615085473,1.0301847927160988,1.0639714795665427,0.8854040582884781,0.8691673855858436,0.9996035000729585,0.7952956385029716,1.0100505104407125,0.813030732222198,1.0277560982913765,1.2574656787076997,0.980916640451016,1.1880023077958046,0.7813537774271101,1.1923257968065597,0.7911485983069643,0.7064270549147348,0.6819379647280639,0.7262923079186099,0.590826777211444,0.6410437615055246,1.157228315679006,0.6056306429485518,0.6983565989020253,0.5930656342184485,0.6056102646261781,0.6519940254140384,0.6566299969961218,0.6465556523097447,0.7251641920564564,0.9441708542712063,0.7951447219379244,0.6796800230728415,0.6122688594746414,0.7279427643512857,0.7193154490051232,0.6162442559680866,0.547126994591961,0.8239352328584362,0.519909391890992,0.6127760475453781,0.47016778958648253,0.5339159255017489,0.6096301996653039,0.5422224839215689,0.6718630160405256,0.6010036332564967,0.5796191731620076,0.6921465702066663,0.5190438778518114,0.5096239720859319,0.45758719479487536,0.5213853426124477,0.5114946090312313,0.5745745840644022,0.6176216989388799,0.7124249484035204,0.944684661192398,0.7036237272839725,0.7059586011713288,0.6178264989305314,0.6458702081587269,0.5316527753057027,0.4708826778218795,0.5144106643616123,0.549001630321271,0.5036149203370576,0.5731639355666817,0.6110028725244752,0.6590473868141116,0.675585592439834,0.643300038164039,0.6278250189388551,0.6124606978379576,0.5856003750469233,0.7731925612729574,0.6682302002857964,0.6271781906045252,0.5838128374008269,0.8349833683732408,1.0467587038832344,0.7806866096837758,0.7242729796537889,0.6243861497430971,0.5482087689232342,0.5336123889659284,0.5177963086084271,0.47091579792181154,0.45790843434501405,0.5166267130439249,0.5577627377691475,0.9644058979325262,1.5188951223097698,1.4172009218332695,0.6104648767279794,0.4587538423571645,0.4663339970118476,0.4664895686666705,0.5205046099366125,0.5681619611591899,0.5391721952727927,0.5550915738623187,0.6358635461742546,0.6340747086629417,0.7736487674893411,0.7091253503225586,0.9097961399711473,0.8961088140340671,0.826661906966225,0.7070730533637531,0.6329563892219233,0.5937113194454389,0.558160832430943,0.512882039976997,0.5386839492276488,0.5494768352884375,0.6872739872971703,0.5787003653280004,0.5519963493591781,0.5978735406029851,0.5541968201672763,0.5879187797354506,0.656046168741007,0.6692063550773598,0.7604355339032907,0.8720168126193406,1.0174975238361923,1.899120878997547,1.0907077746039122,1.107198680077516,1.0336082748444255,0.9241849710939856,0.9002211295301511,0.7947581741086653,0.8570509889223216,0.8109505558915671,0.7537336078462847,0.750751258183961,0.7437269017635743,0.6636178799700034,0.6701538749033608,0.6438671336351842,0.6966765550867265,0.6910387233179922,0.7016089375570417,0.7472385216588403,0.7672098406813816,0.8014767495110429,0.7942368826150253,0.8389392936548472,0.9182075434908592,0.939322687108202,0.9218794113835885,1.068285055571161,1.0499147152273418,1.1682466349735006,1.029148397542569,0.8727459130296289,0.8875237693166539,0.9119302727266854,1.6669397509897892,1.25792952372807,1.620828531385057,1.0969782046550136,0.8452401333803198,0.9266923886509523,0.8913316130860411,0.9764700486158132,0.7833181103443251,0.8298282530843215,0.9515559668750153,1.0795670632420666,0.9226345939178796,1.0711811646575502,1.2070209512668617,1.0704863429947398,1.1549431648829378,0.8343449613885291,0.7589114910978605,0.7464639670141106,0.8016461368924293,0.9340223863930395,0.9323810890425199,0.9865640426794688,0.8558314004202465,0.7796619801543035,0.8559053648270222,0.8615763649348266,0.7748948196635249,0.9221189265366584,1.0282969863750469,0.8871119326701263,0.9426307155503346,1.0904142756467876,1.179939571640634,0.9711758168299044,0.9986456789153845,0.9268216966754155,0.871276794683562,0.7813646188202615,0.7736233441857615,0.858034368125336,0.7896691262246746,0.7478353954907384,0.8144358186185213,0.8512896737336642,0.7851286241774258,0.8319743272059479,1.0728446466521973,0.933121200591724,1.0064694107606262,1.0572489129808358,1.2625825308362653,1.1317033063168034,1.0491465459217282,1.2224477828920974,1.2538309698935384,1.2552974027281063,1.0174827424485686,0.934284317461795,0.843027093817186,0.9847530679897399,0.9663593302742018,1.0923328115265774,1.077318629897132,0.9366946203994159,0.7970495056830493,0.7091473715022247,0.6817489775411143,0.6876002500941303,0.7777481038437091,0.8282548436228533,1.635576498033422,0.6461673402519581,0.71610840142901,0.7376930218474255,0.6191100047342517,0.6399817360485125,0.9978471949096387,0.8387982226469155,1.4915112761684852,1.8138629332458094,2.5526514850904074],[0.5253441145566338,0.5086734942045852,0.5922116298381975,0.4545105057173966,0.5818480855191132,0.4549363287162321,0.4376271897213032,0.42880397946236976,0.4560472661338662,0.4003094310289019,0.37733202737678545,0.4616003284412581,0.4144664534537263,0.41197469016681193,0.44468064460406487,0.42166561678324077,0.49939426442069856,0.514128409126901,0.6090927577812928,0.6258439731751918,0.7046803388138048,0.7199578355997508,0.8940979582779096,0.9133988406529335,0.9277911606126634,0.781612472603129,0.631290435298073,0.5299410441295862,0.5067817808918018,0.4668143876960264,0.4899663918857563,0.45607581145684545,0.5245816992678316,0.4790941034433972,0.44222645772534575,0.5197409205992698,0.46702843735194405,0.5181916531852742,0.5331807370014894,0.5779672787787701,0.6909587944771939,0.6676520170068008,0.6838831217233007,0.8931083524816246,1.3698558318300456,1.619758705440184,1.8178013052810484,1.1842178150004379,1.2017125984164259,1.463862661858831,1.175948046421436,2.303513421393343,1.3556963825065473,1.0064813345848105,1.7397313290306025,0.7288855956802094,0.880711574748686,0.9567973977889874,1.1149898531498155,1.0833452628353146,0.7887710579794218,0.7928051947255932,0.866235981246822,0.8511739721374092,0.7586465499517198,0.7413969465411042,0.8679335127019681,0.6247086966537029,0.7848695797465467,0.6357798409865475,0.8552508661680388,1.0437384045325429,0.777527914110277,0.9853440709684267,0.5815026685416823,1.0568430207627315,0.617963200227794,0.546008234841983,0.5567718836595517,0.6338765358937395,0.5308409399272433,0.5990402188499058,1.0740597929802032,0.5725662994570629,0.671393036001212,0.5210428929186981,0.5340126251756877,0.5998840207034497,0.5627231041203558,0.5223351029440012,0.5393820476323593,0.8118373646759731,0.6542327326790847,0.530902266155115,0.47949080483143197,0.6080485707074738,0.5996082464728342,0.5110764283961537,0.460817943717409,0.7434156213797651,0.4608395488820745,0.5708561352889158,0.4530993116019202,0.5172472567590976,0.6119159026742201,0.5234298518111573,0.6132907976097458,0.5872346680834661,0.5387636237634856,0.6347879072564836,0.4650557348126882,0.4929947682741273,0.4503434798501074,0.4937811858569778,0.46401391463506925,0.5089684275192704,0.5429071471406133,0.6309385229349009,0.8380875499381553,0.5854183497388915,0.6019338270288865,0.5041254495337144,0.5672170985590449,0.465004482621781,0.4457991247564996,0.4904341793070549,0.4985912143850797,0.4687428218128015,0.5355569631154903,0.5901104385739017,0.6209715640617167,0.6403942487924207,0.6092098423239216,0.6015597110461859,0.5815845695485322,0.5536325172157315,0.6860894391241756,0.6243150228366275,0.5854500084999193,0.552505984628705,0.800764299060579,0.9690249146962232,0.7020317033973453,0.6717841590995713,0.5986081892972435,0.4940877622823675,0.4809027219392692,0.48542408860515657,0.4509494360656476,0.4771443912617258,0.5006903869330332,0.5523663526726459,0.9110826417530736,1.4552187290990828,1.377409253676067,0.5526738115961931,0.4276920302585186,0.44435575913426895,0.44401585695919266,0.5337257832568768,0.5460708393283946,0.4898398380466194,0.5098894297306213,0.5981497309930895,0.6016496724305181,0.7540836425293668,0.6710508220834267,0.8777597956141482,0.8340606500256316,0.7855519224257461,0.6597378408268599,0.5932311710523087,0.5647521255390678,0.5286215919863033,0.4897271312192516,0.5138683187416409,0.5264770489105801,0.655668500198109,0.5327487830590305,0.5287241086326069,0.5609563262163068,0.5344424149848389,0.5695473633762466,0.6536420395622857,0.658857304897222,0.7692605276353057,0.8804631382070989,0.9952023239695201,1.9231612228818393,1.085189846169817,1.0937263857109654,1.035761820149491,0.8951821091391973,0.8706987758400443,0.7383415336332917,0.7696262019988449,0.731683377286975,0.708073149458843,0.6653127238827206,0.723446978595347,0.5575653074392082,0.5772483374974229,0.5645443048575797,0.5364078727621983,0.5189611261925187,0.555960264992396,0.5829293063018278,0.5684687974717532,0.6306603475485927,0.630756783872109,0.635080118401547,0.6983325323471293,0.7871943013089443,0.7276997737921859,0.8362179756207243,0.8118339066696421,0.9300061263880373,0.7862290486313729,0.6695916052289557,0.6439282806768728,0.7583041431576325,1.54419991055679,0.9838882864530178,1.3860313682620107,0.974948716628986,0.6716739032888306,0.793081502918807,0.7222202488414778,0.817936188616461,0.6114847315507282,0.7184125718344523,0.8447834188832274,0.9587859901168244,0.8067317406051268,0.9747564167171806,1.1274267858256093,0.9688616680036151,1.0808777733456758,0.6988154659699671,0.7384736486138542,0.6583486542598088,0.6723930888869792,0.8270926455764307,0.8796096827963996,0.9024960673709318,0.7486496097296449,0.6659335104686116,0.7796224336711658,0.7881090813818604,0.6369747057866995,0.7735789365775962,0.9020300919703923,0.7427885440977705,0.7606007280071111,0.9380839344398609,1.0660146392409313,0.8207886455061908,0.8265279280906965,0.7319504186371322,0.6852782004512146,0.6132577753772059,0.590458751680812,0.6309037246565548,0.5694406336511407,0.570790986014355,0.582418439293177,0.6143032707828174,0.5727327683913116,0.6198355812111547,0.8747265612599813,0.7196644087565685,0.8424218324562561,0.8763560021502945,1.1119195612216033,0.954458971172767,0.8427357626726877,1.020181931114441,1.0674761238086967,1.0747613657192272,0.7880170738556586,0.715180865684279,0.6350476196683614,0.7510781877583413,0.7295928874301455,0.8923253121306111,0.8953168459286472,0.7324508065563159,0.651213610608087,0.6194772869676598,0.5926466447180945,0.5898810302629381,0.7898612271031579,0.7561670996194559,1.661451689502985,0.6546622779386954,0.571484500767663,0.6593959909030664,0.553344742548414,0.518085647693205,0.8387437312856401,0.7588818424987744,1.6178081089948937,1.8431414640262602,2.386734604245977],[0.6235004773385276,0.5889364557787505,0.6591664448933536,0.4819510934402291,0.6461714014509363,0.4678896821219543,0.4642658004785802,0.46505488600162587,0.5057697990011792,0.47307216788557394,0.44783788150234016,0.5142114726790954,0.5227806145570135,0.525396458610804,0.5659654823369689,0.549121950144759,0.631744339454755,0.6747184226345192,0.8308624205302533,0.8376834246275475,0.948049287013691,0.9669833462916587,1.1577265951589997,1.1779107723027114,1.1533627867902658,1.0138695566932532,0.8572200622989913,0.7583272550842062,0.682389709869214,0.600230016437031,0.6250313762931773,0.5537313329849447,0.5990276205617333,0.6029224678275575,0.579959153373283,0.673975062415771,0.6124228096261041,0.7305384302215283,0.747717145563716,0.7860169820562752,0.9011196020105097,0.8821042588904898,0.9099334738863132,1.0579746233607128,1.5750155144146885,1.800281027723834,2.034490581524179,1.373359308208224,1.3655068214774118,1.6812626796789265,1.3825390758836984,2.1811778821217955,1.3933995186553068,1.2015281088730443,1.9677815833712657,0.9755244789335183,1.0060113781071658,1.2753666683050535,1.3554441018827645,1.2783667202796931,1.0021221393266175,0.9971244340386077,1.0398543258051514,1.028024216775998,0.9791016052733076,0.9765796659444714,1.0504081203242932,0.8178280534304311,0.9546363413988654,0.789085171104028,0.990036844460012,1.1228016183743066,0.9172246268248007,1.1351679735345324,0.764809623502738,1.1634503372664504,0.81523629469664,0.7158043041626905,0.7470952712768889,0.8315092097670915,0.6790643215280252,0.7908124627871673,1.096917278295701,0.7485835155638408,0.8035130354009681,0.6730364628109521,0.739783204659606,0.7090425033145483,0.7321672731144244,0.6677875377353876,0.6778522805818489,0.9091559942698197,0.7559849402403807,0.649368422634924,0.5911887804184965,0.7153615078363857,0.6863218067311483,0.5838732617207882,0.5256499619050361,0.750980292040687,0.5098044631272902,0.583166239667584,0.5231637584313412,0.5805610234981415,0.6700414994005092,0.626685487627659,0.7049676670029619,0.700434117897662,0.6245751262845259,0.6781637338047292,0.57464554596109,0.5611189020529646,0.4887090053832864,0.5809453492339476,0.5884242144814018,0.6823928801107185,0.7388039581982193,0.8630745899013752,1.0343643400878633,0.7487799469270018,0.7582630160612087,0.6665368304749743,0.7277867054307272,0.6061731951449771,0.5406080880532643,0.5897055572678088,0.5864947679103586,0.5675233842177732,0.6084284004341692,0.6481827647610852,0.6979507973904798,0.7115321448935868,0.729843315409956,0.676864467006291,0.7048456909886853,0.6746366919770954,0.7723008342598363,0.7691548503524317,0.7700841162189096,0.7318428430295452,0.9734293288301412,1.1552528418948622,0.9434055480801525,0.8676815861442836,0.8072763455839275,0.6842017021862906,0.6636352652239099,0.6226917383952257,0.5486880838980547,0.5172513658548372,0.529890114114749,0.5806475926697116,0.9261861444046228,1.4633325168026654,1.378017062535029,0.5827618628206941,0.4831437657644677,0.4861748665716378,0.5327468968488441,0.5788532347135886,0.6441236929830588,0.6546902863912826,0.7085365786000543,0.7815487032490495,0.8213584592946822,0.9443727878177519,0.8670937238246564,1.0666349529818833,0.9864233379529411,0.9484567987698423,0.8203684492562873,0.7831107028726213,0.745233711823453,0.7036394143935347,0.6522252414520161,0.6300947957986427,0.6109118054184813,0.7077073093106238,0.6804483012176641,0.6679748309680583,0.7425202948014806,0.6418983062347997,0.722380503525243,0.8109656521727399,0.8217225320428396,0.9347384193226745,1.037194025996005,1.18594917234087,2.0246368077447823,1.2691981246333652,1.2665500523693938,1.1728171581178732,1.0627140242299238,1.0153725464288599,0.8684990361026367,0.9096153111571815,0.8355010499266087,0.8158760077545395,0.7546275396412983,0.7823738675982158,0.6113663654181023,0.582765448976339,0.5828685029216432,0.5997916545716033,0.5622836522273997,0.5703832829866952,0.6215876123212766,0.6317801066485853,0.6674453461593212,0.6758946928536924,0.7177355321471973,0.7939021028952898,0.840523402171789,0.8164877999015241,0.9618266464843614,0.9169782682129046,1.04931350277749,0.9089791842415923,0.7825088847055812,0.7599969007542202,0.8194718415936909,1.3872822588852607,1.0337443218240119,1.4640501816795632,0.9887133976323331,0.708133821813446,0.8350282927970113,0.779609859672307,0.9593545733340725,0.7236264155660422,0.7608726213410115,0.9329810362135685,1.0277697844180844,0.9084733942018479,1.1271816062402837,1.2764452352195919,1.0916555815723843,1.2296542976114102,0.803479520519595,0.8172422187453815,0.696165668947851,0.6498810682302509,0.7655273777793495,0.8241620895712138,0.8255185181455542,0.6984176748992346,0.6349326901945138,0.7056343361166363,0.7136620969729243,0.6225732679818301,0.7520226816577739,0.8820492652402442,0.7402627945389285,0.7740044722844868,0.9271742107763714,1.095078692176515,0.8656866102155222,0.8792570933841094,0.7838240394554814,0.7458400604850235,0.654603627092848,0.6467267369312143,0.7200643752292439,0.6468283117219098,0.6587093281133943,0.6898640669152871,0.714383181554789,0.6788683732030424,0.7625644775950344,1.006410347327693,0.8335733691491176,0.9938648307748774,0.997239744222102,1.2250868236393173,1.0766053186755982,0.9487988386348644,1.177839305281828,1.1614907764552862,1.1863682075945394,0.8994668567096354,0.7941255730190314,0.7175227698841048,0.8078160144940669,0.8040486722614789,0.9945571953418738,0.9562347921528112,0.8204979421358083,0.7014165221799722,0.6813610529380691,0.6088560144339238,0.5863215850967171,0.7379754219976203,0.6603077301960822,1.5475929155597146,0.6661038938523307,0.5395848274404214,0.6352612535280527,0.5916723767706193,0.5466607451642714,0.7694783513584209,0.8160954947831833,1.3583127145006222,1.7625293121502181,2.3748758441830753],[0.6847831771458981,0.695230148348145,0.7411784494236027,0.6616063778062664,0.7706193434069242,0.576501150184385,0.55187148276417,0.5998529674988463,0.6000884490648978,0.4916039411261638,0.47581252687985076,0.5641710266118616,0.5025327922298648,0.433414584238895,0.4983947687307048,0.47641286600737814,0.4427472510059596,0.42341399761076465,0.5013440692011294,0.5290969781700076,0.6003182667873711,0.6392092301728635,0.8755243985906386,0.890429033048446,0.8901709543695012,0.6864372742562922,0.5768397362823579,0.4685223910832515,0.4516922331023255,0.46741806542506864,0.49195201486669365,0.49951735387836194,0.5591792266874983,0.4931879539897617,0.4536492381183822,0.4790069845544205,0.4709507877467531,0.5161622808622054,0.5238611235897113,0.5889009326407808,0.7176336028578079,0.6613018620860984,0.6840621925612775,0.8844351708694396,1.4906181460245262,1.7074099273611474,1.9431732442462237,1.2244344564672198,1.1146152712765696,1.4964307076598562,1.1406171055537877,1.969138217187184,1.1633821176360366,1.081444512190389,2.0398294464231825,0.8435072198898573,0.7575170300745784,1.3343130746935647,1.4107022161614846,1.048330264613015,0.7432508485099495,0.7071841370363621,0.7424239218140247,0.6975515601024149,0.6757123984719715,0.6372462153220109,0.7109008370153262,0.4722316290447595,0.6329835520385586,0.5573882022264467,0.7564672672214381,0.9899756201206373,0.723436062328955,0.9085819818216821,0.5424516526098626,1.0365858420493619,0.5042382160666979,0.49212426660454434,0.48274380511960974,0.5499321972783435,0.5289697048304699,0.6545284505640402,0.9675010921966142,0.6370510734413948,0.6958648883438077,0.5215539552274389,0.5181175540168735,0.5940696028231226,0.4894484046345687,0.497316468357003,0.489232423347998,0.7686177438479761,0.6448097065609788,0.5663942791397052,0.526334453582667,0.6744473544692188,0.6659058746950048,0.5726807268576826,0.5668312722091335,0.8132690214313743,0.5981381636060136,0.7040568392654643,0.5416541013652563,0.6338310033640147,0.6339097913645398,0.7021327276942854,0.8252104387158183,0.7395281130874927,0.6877454210098481,0.792963933482546,0.7694321770895538,0.5979331494506495,0.5076101150733691,0.4759485140797051,0.45601366852890146,0.43618809705694295,0.48277360304028916,0.5347372153325081,0.7245624432416358,0.4595063273314003,0.46821682417314264,0.42885912473740095,0.44808635780476,0.40614359111828735,0.4777294922234394,0.4954971198719374,0.7123785688944415,0.5891005125449496,0.6020396448457507,0.5784283395932877,0.6538266989593557,0.667943073948983,0.6191217256753773,0.6093287252180086,0.5905103837809298,0.5779796452422707,0.7448815510474218,0.6111086386472068,0.5849940676034159,0.564909344698559,0.8312854411402836,1.0466784098753452,0.6118429270266992,0.5876838443212972,0.5903340882325331,0.4739000761684888,0.47582454213347875,0.47989705320726167,0.4923788654421191,0.5780841874635116,0.6780987704800203,0.7299398261201401,1.0601388400842429,1.4572234634683474,1.385257239919659,0.6914814137443142,0.5958356287888797,0.6212799356124826,0.5368567527843852,0.57025329016949,0.4995037058660631,0.503974205882912,0.5133284835795446,0.5289889799359472,0.5889552873466466,0.756814807742715,0.7259361173317144,0.9553196143511895,0.8822824710736353,0.8439393673967134,0.6929503759434109,0.6082882606381093,0.6105449007884656,0.5322237769822591,0.5058463735145738,0.5445218415044256,0.5285135085955255,0.6373742654924034,0.5423725277512454,0.5427536412041403,0.5645054147231839,0.5461997703049487,0.6212014539838023,0.6819431115725891,0.6507112498040156,0.7409865415883043,0.9135189925709414,0.9934513354433374,2.0224218671523575,1.0860378175317007,1.1446384696371175,0.9434197474186795,0.9094055911076674,0.863764286838839,0.7575766176476982,0.8780932061218006,0.7867239686573114,0.7837550493335812,0.7673528890976945,0.8009286473114948,0.6845522561652635,0.6431732573208081,0.6418492937617043,0.6834155655444489,0.6668649136679091,0.6493163320239952,0.6872808479837084,0.73850580173707,0.7617862570991976,0.7632982871533943,0.8050350984363562,0.8703410970084151,0.9085484629961074,0.8858588693625298,1.0249029254396782,0.9601895454313637,1.0954683547230484,0.9383204047345506,0.853939543218099,0.828901077869714,0.8752812335820737,1.3883983791809016,1.085260113725181,1.5365539989826162,1.0263634349118498,0.7875322551451959,0.9125868631302066,0.8583529340408735,1.069662457212188,0.81391919415671,0.8445356246075669,1.0099649249624927,1.1078681969497022,0.9572653496212988,1.1199540700724657,1.3000206044708325,1.115904797572949,1.1937914841950215,0.8454390832221079,0.8192157279748308,0.74716054609989,0.7167277220841465,0.7795925544254069,0.8453597252428214,0.7968714406238506,0.7179632469915133,0.6702212045600329,0.6958894128457266,0.6898794585207176,0.6918786821275094,0.8080010678619227,0.9185338487130231,0.8142086932478132,0.8592762452498607,0.9715625698074969,1.1690095511686822,0.9359729602091358,0.9470476909545132,0.8653251031960845,0.8438566789377986,0.7614744609840975,0.7528378526917846,0.8253825042626552,0.7561622419994501,0.7589084016740402,0.7858760854578012,0.8001591924875934,0.7736482181905886,0.8603742153339226,1.0801151953026873,0.9074995067363039,1.0418630506024684,1.0463737440583714,1.2294656264654815,1.09765399662416,0.9828724354479229,1.175299324399293,1.1584711845293774,1.2126388671858095,0.9345165950147717,0.8438987503858395,0.7959104208892573,0.8421253784681557,0.8547565552675064,1.0321845907072507,0.9822354338951305,0.8573868382265354,0.7369070505783073,0.6994258343374861,0.5944125458952885,0.6410587413871432,0.6345957886371767,0.5721353526689267,1.2769312528950216,0.6110289653792627,0.5903559935149574,0.6827474419327766,0.7253240783247483,0.7126944230714598,0.8588580483776603,0.9376707761656082,1.0350312014558953,1.8553801439066167,2.5219162936238613],[0.5487503653570593,0.5764336053368424,0.5966565321614918,0.5661124894474187,0.756405027221914,0.5201841153431849,0.5107913337664272,0.5367070904139095,0.5712163665141099,0.5054592887664283,0.5024325476299007,0.5622894790092772,0.5267539786509198,0.4809180511397988,0.5616127228025241,0.5212205773894677,0.4858568134286455,0.4775919981137652,0.5277424252654842,0.5623409209513155,0.6051978636736527,0.6600833412771379,0.8616592926049275,0.8718151982948587,0.8908853864886939,0.6789508651534782,0.6065612692697202,0.5148561410483898,0.5035306771308268,0.5116787951866373,0.5386930076214356,0.5357332938354136,0.5774466671478782,0.5323206479675651,0.5035868471861582,0.5208771353581844,0.509977780079109,0.5737843039518091,0.574275059541357,0.6474950848207031,0.7547380423848773,0.7004314024549184,0.7240148378698668,0.9163326522666331,1.5040543561331685,1.7119821905144932,1.9348264673774194,1.2294495759756978,1.1108807985180478,1.4881376112739428,1.1449965149111034,1.944530532407536,1.1738408854183155,1.1306401359922404,2.104359121047187,0.9165967554596335,0.7898592955713883,1.4424828530944065,1.4902838610876217,1.0704790388346335,0.7760799086877483,0.7258820166274795,0.7457426159821756,0.7041822157142383,0.7010799579357099,0.6620065238966105,0.6875374792261585,0.4937221433284228,0.6182937723019318,0.5916741880546663,0.7816249602960497,1.0267756292617018,0.7470061807620959,0.9079779615868909,0.6022119150725348,1.0489243237748362,0.539490417673324,0.5334112782361481,0.5407097322038111,0.5884049922492992,0.5865250670381801,0.7035129482544198,0.9452995864739485,0.6789789615380057,0.726721850840156,0.562640966630705,0.5656228658586416,0.6364254630051687,0.5311820067287939,0.5456127117816147,0.5290502039670273,0.7772663772654113,0.6695835739647116,0.587014575114429,0.5544597229367553,0.6897455946760289,0.7172999195829721,0.5891667857800689,0.5645007173344777,0.7723595187483013,0.5839438572630847,0.629330580817634,0.5134654209789339,0.5578961746242846,0.5957833536308595,0.6428220078624082,0.7407984522224165,0.6664764992691556,0.5875920564736641,0.7100757858429724,0.6585339535234763,0.5507531058491696,0.47453504133497526,0.4713607632284014,0.48337114356563826,0.48182430581296687,0.532987010354957,0.568250342687507,0.7268437094416709,0.4981001240305332,0.5049427525305742,0.48477022462439173,0.49121450233514125,0.4486384909303449,0.49174584865246945,0.49690909992672494,0.6496863011408396,0.5488472305926183,0.5477597792401251,0.5503858880765604,0.6205230130545006,0.6263002019850658,0.5945794975261458,0.5856984214400853,0.5703692558851996,0.5616006237800094,0.7137844212611462,0.6101469266114226,0.6046667078856319,0.6031638604824683,0.8928321658222996,1.1060347573298774,0.6331665538692993,0.6109520629071445,0.630092690614662,0.5212474885294998,0.5207997074408682,0.507919746161094,0.4797845769697039,0.5429146892697195,0.6140867806299597,0.64495236617861,0.9303112150089294,1.3423862758430518,1.3334592708603972,0.6229503314234762,0.5653534301958263,0.5662764671389483,0.5215304095528446,0.5159483736433638,0.48708946663510844,0.5282289036225492,0.545925497287952,0.5541500154514643,0.6173316637056577,0.7871928078214365,0.7292440770352787,0.9546067004929276,0.8718214988173133,0.8402763298581484,0.686360750831432,0.6127262911200007,0.6116219671827813,0.5398794948215476,0.5110446894485136,0.5287999445192847,0.5349226858898437,0.6075555940266022,0.5571915150692417,0.5421348875532356,0.5804426119191896,0.5200982372489656,0.6098407036326311,0.6781854436879841,0.6503409966365056,0.7583657813156819,0.9493932045755601,1.0199933664322471,2.0395140705603896,1.0921527370660888,1.1466087753125043,0.9475307030081357,0.8983698631376065,0.8525295679674961,0.7378079805125229,0.8549899020140258,0.7652431350893554,0.7537034875691939,0.7156206185518241,0.7437076969794706,0.5837268135587842,0.5428065168869216,0.5495292637651301,0.5604976349640322,0.525856124581244,0.5257893290809127,0.5801101760174386,0.5846418149410924,0.6071934193802616,0.6412177395639163,0.672779050570568,0.7425297766543378,0.7977106650582629,0.8176660641846657,0.9537027510430767,0.9195666553979709,0.9675689762739415,0.8127268975674244,0.6981911058102613,0.6855048088452899,0.8207485852394516,1.4047301263267227,0.9967330563782715,1.301436556427092,0.9703492856088354,0.6618683663523766,0.7906689612681458,0.7801210243123343,0.9488012393811326,0.7228379498709105,0.7860471154808051,0.9589067632923437,1.0319362026142265,0.9025515780214391,1.0906299342928822,1.2664413254038982,1.0669882564043682,1.1812839486880682,0.7798287983874121,0.7779170766958587,0.6906116078695358,0.645074468186706,0.7548184983111277,0.7384503338609705,0.7538129147562493,0.6432857129067637,0.5849086711233351,0.5869153827898704,0.594552574613717,0.5382300633100746,0.6410216898930016,0.7551038051273923,0.6582410730316617,0.6957903089983788,0.8109998834253007,1.029553700214742,0.7911878407882807,0.7848029163376725,0.7046232477851184,0.6648484148896283,0.5949124433436237,0.6214629192110775,0.660080618914395,0.6085389242342705,0.6379069759131706,0.6364955795761449,0.654217336252583,0.6407529469935824,0.7258220205903401,0.9464075016126664,0.7655105216329862,0.9314956918104744,0.9453434331681602,1.1536601123259795,1.010353877471153,0.870117453624403,1.0822731020514198,1.121065334489204,1.0444727282960682,0.8231234560234403,0.7272504968330236,0.6808500283157242,0.7559058155679393,0.7212102616578374,0.9011987652216651,0.8761336198938325,0.7569821279692195,0.64679493430198,0.6388095088182407,0.5397559786536059,0.6132958898819748,0.5352561937219606,0.4514704937011206,1.2170749993308958,0.5197703716203429,0.5193307101211276,0.5391057854579325,0.5662314848771282,0.6053172331653196,0.8428024754393469,0.7954048512273734,1.1638597799423545,1.632272436027402,2.171379614393913],[0.48314786021997236,0.4606785320049125,0.6084630951169954,0.4347669608222604,0.6762858792213892,0.5024471149546277,0.5438675781636507,0.5504219935187805,0.6100618680697424,0.5592042608486997,0.5558653094944112,0.6353004081636747,0.5825379629822256,0.5922488468018583,0.6574709827017653,0.6322310681200032,0.6474826679209488,0.6365078358075462,0.7162206447469215,0.7401192427618902,0.7909428084901334,0.8207921598669514,1.017340030652957,0.993392751734228,1.0366594147080381,0.8636008605690447,0.7494393199764645,0.6736488346125272,0.6639538507329201,0.6327228500803651,0.6502787740953081,0.6241028345102717,0.6379471957579064,0.6201225441768436,0.6175741174740961,0.6610929847283561,0.6281817302734103,0.6890610097483869,0.6782136608451339,0.7109123295429857,0.8103840992465414,0.7815116812661929,0.8054507407741888,0.9740892051340113,1.5044354670844131,1.7154852004633974,1.9244221716054972,1.2767652377709855,1.25934366317787,1.5605706052283506,1.260679947985953,2.131234211455481,1.3211805347998555,1.1698385430657097,1.9950148397171361,0.9232839000810004,0.8864598069389763,1.3068156648809335,1.386430985568834,1.1623218929780728,0.8801543926723375,0.8564888561799603,0.9199269036348491,0.8838158500162423,0.8569393768613824,0.8334987199041644,0.8951645063109905,0.7140164849369727,0.7965888764721932,0.7277465209822018,0.9027782562824206,1.0811957164052204,0.8769145508848885,1.0270076003303712,0.7345447878490915,1.109984640044048,0.7340983974851067,0.6859532457982389,0.703632936629079,0.7687381059366765,0.6788755126214492,0.75842790290336,1.1001666458011747,0.7285902573598316,0.7757290277986465,0.6449094042937996,0.6854036028944509,0.7267368542639899,0.702037280383039,0.668002527175668,0.660157825800651,0.8805472568280701,0.7622129906201675,0.6663115403497413,0.6377904651698544,0.7643035234938194,0.7745906179356737,0.63863858911329,0.6034173527556551,0.781484546509512,0.6198059316908255,0.6317831021499103,0.6143734849489769,0.6511895147383897,0.7174461952301945,0.6273385548121218,0.6778675877252645,0.7112644881303407,0.628152006052741,0.6801147042855327,0.5503904121228843,0.5851343071585855,0.5794095761159586,0.6022844283669674,0.6015715785114625,0.6408224565177253,0.6783755620141689,0.7166107157376115,0.9045853407368949,0.6627277155122651,0.6602371058504984,0.641067611053163,0.6724040632383272,0.5977104228456547,0.5669480716564764,0.5875079124758368,0.571613816615522,0.5618221662044278,0.6313106169399382,0.6871297229452615,0.7096512820954591,0.7134862274618393,0.7302022755603581,0.6978355448067262,0.6976138591070848,0.662510185511914,0.774436615979336,0.7067147105152639,0.6583475499384834,0.6517433322190813,0.8605756006799625,1.0571869365386848,0.7575342667249796,0.7436891509237842,0.7300614513390162,0.6316531361681224,0.628735624310423,0.6339982882463968,0.604942228220734,0.6159124572199947,0.5931374888678979,0.6562333060063799,0.936654058793551,1.4106047543579339,1.4326805086245153,0.6465651994743008,0.5656521341717462,0.5811713484372272,0.5960986052639975,0.6561488076109491,0.6409133279484728,0.6306655556696726,0.6448059499355161,0.6959631179564965,0.718704565186707,0.8108417933405824,0.790050226797781,0.9863515779830713,0.9269009871347103,0.8821836801966715,0.7760728430083741,0.7106557380057316,0.6940483278512845,0.6823425341352581,0.6357819972089873,0.6424141846329489,0.6578966975649101,0.7383679690005365,0.6756281381213372,0.6776799470393984,0.698970072608927,0.6474810909227265,0.7050977833500461,0.7789181735823646,0.7652383605360948,0.8525220995316478,0.9611317327666833,1.0980708599538447,1.9645781773741229,1.1670875817256476,1.1949092289911316,1.0825940682754318,0.9825159850078777,0.9424567095030288,0.8267774310488105,0.8866689089090721,0.8409991711230371,0.8093527109080605,0.7560931423854228,0.7923393895276664,0.6301578160841573,0.6361882807532795,0.6263700409651058,0.5899263235483917,0.5585305030366041,0.6052629947636604,0.6197966697525873,0.5651105190930268,0.6289100107644544,0.653983612450525,0.6356126985643509,0.6993599218542873,0.8042152553257774,0.7845928774552384,0.8684953317903128,0.8407381147477251,0.9291398852917896,0.7746531293790632,0.6506408537554137,0.6335533600592934,0.796904484671652,1.4903899524463287,1.0159315007398004,1.2523839820348306,1.0098079220253147,0.6900209388116497,0.7871109190668917,0.7658151681609721,0.8761365110777254,0.7082121760979344,0.7733761494200592,0.9286720557782246,0.9953152042119024,0.8848597971520223,1.1184263102645136,1.2593458059528728,1.05539545084483,1.2179214019927003,0.7772263774267169,0.8244841939894724,0.7323761674408062,0.7002055635971287,0.876000855636945,0.8653687919597814,0.9322216967852942,0.7898843661212299,0.7101936941868688,0.793933757042528,0.8113307398228928,0.6490087905276106,0.7444038125765157,0.8689021825654563,0.7267924054511615,0.7222136234249167,0.8775385889803455,1.0351977146717444,0.7978600455777044,0.7889943743403717,0.7000546008961508,0.6516681154487607,0.6168041142574001,0.6338580491151203,0.6224603188797232,0.5864895031203151,0.6268099085167849,0.6044562903813991,0.6273486611055341,0.6150090851465253,0.6858330173895815,0.8839740985551254,0.7284793443460315,0.8961371161054276,0.9335986272361689,1.1583881231758657,1.006634215743085,0.8624522538833007,1.0699492782241236,1.1298899724133473,1.0252690884426858,0.8014317759871231,0.713253869468076,0.648649075906528,0.7573937752717005,0.7240947976721934,0.8935203684353352,0.8798432228339329,0.7717269165795093,0.6961154325268906,0.7020916076385467,0.6578922833961823,0.673679037463098,0.8056669416917035,0.7170139879935131,1.6253909765577885,0.7455551065476242,0.5643995325783135,0.6439369356528502,0.5997411702865362,0.514557998799735,0.7999461539531025,0.7802090462903251,1.734265881890771,1.8679705501818318,2.26844818129253],[0.44786062998636456,0.448646198675272,0.4851863564306792,0.3443822681116354,0.631441200221603,0.34558211116198734,0.26906433837383936,0.27722547242423284,0.34461440807250926,0.2723468469410555,0.28473212789582864,0.3478614624566095,0.3135700534820439,0.30657596927121816,0.4152049050577839,0.3659584808627186,0.356566460888165,0.37074531771750124,0.4591604695392065,0.48139802926904873,0.5362432980460651,0.5673862913295348,0.7994868773383669,0.7971481312434859,0.831041325122243,0.6219696079896181,0.5207158702433525,0.4182812353478511,0.3978744348973044,0.36891128268423556,0.4058775011241849,0.3618663970235335,0.4095776773606655,0.3904490638367809,0.3587734526053948,0.4146271317687987,0.36435570933541994,0.44812607417859224,0.45032534711249994,0.5125931374958346,0.647260824229108,0.6111076324012358,0.6294635796962469,0.8422361442817303,1.4160886414143372,1.659591348886715,1.8273649793773332,1.1495723549135122,1.101720947264224,1.4241670098340236,1.085508482235276,2.0692544883190616,1.1773917975915522,1.0055599620256397,1.9484873132811544,0.7673755171404446,0.7307409159390502,1.2439417741641463,1.3516078546179071,1.016340120765596,0.6916886652132722,0.6745928492044388,0.7025794156026914,0.6473532509749453,0.6146034718191669,0.5902560291547423,0.6579649275354559,0.44088794089598765,0.5907960162856509,0.5210762709442367,0.7679950830774345,0.9861277757590018,0.7069433996510347,0.8867417687065269,0.5040243083719982,0.9705610045128963,0.466634060124895,0.4376456848672715,0.4448827885462062,0.5086021407351105,0.4545700355214328,0.5775208641517952,0.9236810925024995,0.5472410607308499,0.6185135100874931,0.4297976935386054,0.455331923092738,0.5235450319634671,0.4419934292706816,0.4413215550891378,0.42773827886793336,0.7197675957592645,0.5683503488473856,0.45839071526254566,0.41078418791665045,0.567849710565196,0.5838155761329201,0.4257157714590357,0.3611916685162974,0.586599550813691,0.3693900579252608,0.47270274856339234,0.33911545010613187,0.41279604430610406,0.5467857873988694,0.48018599631469266,0.5682129924666373,0.5618662224732037,0.4613034451363626,0.5871167662522446,0.4167717745041608,0.3723613577195018,0.2864036998414453,0.3351093536330051,0.31924266382408545,0.37120336071749577,0.4461510197123594,0.48943412827844174,0.6639140436171656,0.4261323995346871,0.44007564217557604,0.385799409225724,0.4109157594164655,0.301674851780234,0.2929990985097422,0.35724967582831835,0.4234880024169337,0.3895144102033515,0.4444332460969302,0.491875573494378,0.5357378110367423,0.5351482555935644,0.5278432977599717,0.5136125166330919,0.5056263181373765,0.47481073540074087,0.6514191519322183,0.5492666641409003,0.5060866392042862,0.47644092833471074,0.7644521463794688,0.9234352355210171,0.5482762682946907,0.5450170640194831,0.5237521917457367,0.39127259435495604,0.3852020366549921,0.3717560062732363,0.31641453376527956,0.338122234384542,0.387203004272345,0.44024645581472077,0.7483707933787898,1.2445159139186643,1.282606272269189,0.4462000896202614,0.3424752804469484,0.3258152605395267,0.3318875815650108,0.39147320073888126,0.408316812845961,0.3942552902733156,0.4346581171543101,0.4727456767219704,0.5105417896183222,0.6733718181286905,0.6345166588250016,0.8626265651199638,0.7931324642626908,0.7596492547063849,0.6134843416794197,0.531472139148242,0.5149922157550008,0.44803063893517847,0.3881668616330912,0.4076217996197611,0.4050348217661975,0.5168669302760988,0.4443863635665907,0.4314085953738359,0.49864442053147273,0.4351364149583446,0.5164641339803295,0.5869869288798379,0.5795519725887595,0.6849519145372304,0.8429088401675756,0.9410198121574521,1.9746273007767998,1.0174780333053537,1.0745415179353217,0.9358552368001579,0.8701596305694012,0.8187181798755901,0.6757966401668792,0.7411769852114573,0.6886458418243798,0.6625363670367257,0.6344081124767447,0.6594176554494456,0.49706570608430545,0.48052460792828855,0.467035409183081,0.4586892479004825,0.4383151328396219,0.46871481646661495,0.516521076322436,0.48297123846880885,0.5238098250427857,0.5744344999441942,0.5895600707866232,0.6374786768314843,0.7192232522650411,0.7502777383742397,0.8376809104749743,0.8313946455922746,0.8821769020665274,0.7265005647707323,0.5960912080259213,0.5671803205483953,0.7127595422363269,1.5833472614953554,0.9441921259835545,1.2117169542065207,0.965339107080324,0.6092847093902737,0.6983510033419841,0.6925728716992107,0.7687803567747084,0.606676087782732,0.6865349867407642,0.835273616146124,0.8927755569693615,0.7694048332746329,1.0400687051835003,1.1163888555603103,0.9610584261692815,1.1183767393331707,0.6771401915917055,0.6971337746189605,0.628572119383794,0.6195647504515783,0.7974230402787269,0.7349641386124832,0.8257200475910226,0.6740454523739613,0.5803319019847033,0.6603049351787836,0.659145940265942,0.5061764874211682,0.6058843754869296,0.7443003336835907,0.6012260482968731,0.6079393873715615,0.7544258978169267,0.9377011880758134,0.6964557741169234,0.674754501327453,0.6035693512677568,0.5488106360863179,0.49893796953158825,0.5513734664783869,0.5366743503553221,0.5074349863504906,0.5349204925394833,0.5205074714905981,0.5573562464487983,0.52735088582577,0.591353558251789,0.7942979399598841,0.6524090293216632,0.7980412057555718,0.8196863315647783,1.0727563148629036,0.9246310138786997,0.795640465283612,1.0091690808263762,1.1440180085022262,0.9533832072360229,0.78037467614347,0.6738296542005924,0.6124304949726721,0.7870585000112083,0.6560281103395085,0.809035245167015,0.8309661672258255,0.6745777319114964,0.5664914038362882,0.5544113513244213,0.4901452929276963,0.5748496434810095,0.5781631792332256,0.5134615021063226,1.4714893265781623,0.5593148496396247,0.43696035754841567,0.5135547584718007,0.43213979455642054,0.4717268417345271,0.7088753543487948,0.7092261664395552,1.899865081454311,1.9832870105502676,2.2835218444062715],[0.4392340909084751,0.42024819822802945,0.42939294179195175,0.3192167718142017,0.5368361670715229,0.27137473674198437,0.22574745780137223,0.25958375011077384,0.3068790358848957,0.22868942769192632,0.24721423390182828,0.3515533183711548,0.25494628367968375,0.2500486737464098,0.33137430588337347,0.29046560834416874,0.3066627280589644,0.3094447279511535,0.3874504423201738,0.39433091509410095,0.44810651431277393,0.45335370175970185,0.693067400122039,0.6923166898006766,0.7121101528022189,0.5320425866582629,0.40283847933333333,0.32912127623661036,0.324310569888918,0.30610425754376425,0.3375073389812236,0.32044216649886903,0.3786100377504113,0.34190222949020943,0.28811090485124136,0.32744145173026934,0.30625667734680945,0.36846973924258175,0.3255534610397629,0.38263877517493033,0.5434340490063947,0.5164458214778139,0.5049364502573092,0.7401057130423233,1.293444091818228,1.6006809201301784,1.7103080507184927,1.0343513446969625,1.0645064646882965,1.3131546185668983,0.9728702523682092,2.2276945220047,1.2425487965983073,0.8796897982095674,1.804818378853528,0.6242127941792773,0.7093329967013421,0.9747696554946548,1.2268011487548705,0.9057577997166226,0.5934272156602624,0.6669502624318138,0.6878802443983214,0.5973950023523926,0.504796440268919,0.5122954163790179,0.6410959433219187,0.4095595912324828,0.6102723392877327,0.4691125524221485,0.7714666120260869,0.994823784884585,0.6809354877629886,0.8372521617879705,0.45023697479764785,0.9508825718059162,0.4117795587452192,0.3604169009558355,0.3589328451264907,0.4254524656622384,0.38618858738117945,0.4940725187053246,0.9358436832545951,0.4027287780931663,0.4988102830755236,0.3293306441798236,0.36151369071536393,0.48757690761931655,0.350252242465859,0.3954683774493027,0.36154337284197885,0.6533903243014438,0.4976010612937836,0.3974170930688853,0.35663904740526287,0.5061901488046195,0.5235955319721601,0.39526073391535377,0.34331234164422114,0.6355811298467748,0.3538569069858498,0.47985801186332316,0.28985322660199264,0.3816543233058136,0.4560324057976954,0.4299745706309307,0.5732893915294736,0.48618715837007515,0.4288515916357414,0.5640627682510628,0.3965649700404434,0.3258361430097123,0.2592082725787435,0.28387429577224477,0.25055029513618116,0.2979592256134753,0.37413620519749974,0.4029989515761658,0.5935147474921154,0.3800260977014011,0.3974300264113335,0.3107224207873467,0.35845347735475114,0.2500031327390504,0.24459340861128517,0.3047226407504933,0.4065836176681354,0.31844940351152184,0.35558740824455937,0.39290896734769165,0.4283634643989481,0.4526503390127622,0.41516502453548226,0.4376262702587027,0.3956221770184962,0.3721910818990505,0.5763232646509913,0.45876346228119236,0.45520404103203665,0.39299264054463445,0.6975970023021003,0.7863864019631592,0.47329545845082255,0.47647193281857525,0.41837869491697816,0.3084444659759959,0.29729741279290334,0.30663855442536125,0.2603173946114041,0.3128530100782915,0.3821916051127106,0.42493600400366566,0.7964790368906391,1.2987090709961848,1.2976624437346493,0.4414757743680121,0.31544862042068,0.31929282061049835,0.2861246529476263,0.3556334316238167,0.3432032576670172,0.31244685685514095,0.33373898612553005,0.3685193724341064,0.41602034733574816,0.6037610991714265,0.5351915909797897,0.7719782783788388,0.7322383067527084,0.7146553882456451,0.5259066229869824,0.4271361291349839,0.4077752854403326,0.34673390667280685,0.2937828619723619,0.3346749013544692,0.33895280138960215,0.5126742483943061,0.3481752057828644,0.3509496083857305,0.405605736970845,0.3428218231937458,0.39117085198386614,0.46728933542287526,0.46269221401051225,0.6024431630021646,0.7594019567735981,0.8281887133311698,1.9518704225329517,0.8923277436726582,0.9887637824452561,0.8421890693650614,0.7675262280305233,0.7097491201127768,0.5678441229273531,0.6229424426539688,0.5843165611565083,0.5263878151330084,0.510712629699863,0.546891864725044,0.3909434726279205,0.40885293359288066,0.3868389310145947,0.38357171828704006,0.3832846744407631,0.43396603070335316,0.4706113277964627,0.4558062872139723,0.5265665862357531,0.5463693309456251,0.5645641815606232,0.6170644073387201,0.7057343698068664,0.6848805999251635,0.7736456255478888,0.773069278578915,0.8722569534494211,0.7093033135000424,0.5610765359276816,0.5342875560344845,0.6205768540475904,1.6793059356140507,0.9125667697642267,1.3392620554148644,0.9146855484750216,0.5881003245228527,0.6700933795356814,0.6355309200562811,0.7022331605676506,0.4953381425859148,0.572618604853446,0.6920834423510261,0.8098183333225395,0.6419757593658983,0.914589997159581,0.9542473357597996,0.842719419935154,1.0248503629324053,0.5766940330713913,0.5515181788005301,0.5102176999649798,0.54789625636502,0.7447108787130355,0.7439705767859,0.8251537465865547,0.6380932464548084,0.5487617779741887,0.6655553035978748,0.6665147543686039,0.5143547143489905,0.6707179544774895,0.8120958605723074,0.6376724496393124,0.6477168907634958,0.8271932371388341,0.9733195680898971,0.7159572911085622,0.704248278963177,0.6160967134478041,0.5657942478766945,0.4958745673867066,0.5086148444467703,0.5292048518470179,0.4800215230437249,0.47308644744643324,0.47576068455439974,0.5230166310749502,0.45876682664319357,0.5103388760855058,0.72559346212848,0.6054496842433954,0.7195903071974191,0.7234052934995245,0.9781939505226149,0.8399688560981826,0.7562815783199214,0.9110334977429322,1.063027814415063,0.9831227785148953,0.7565246289942138,0.6428267923568136,0.5581548929201842,0.7566572122950469,0.6468121224498863,0.7920020488712396,0.8110420360282002,0.6210969645259037,0.5123203325863322,0.45338709347599604,0.4130962696702092,0.468063305037326,0.5638831319353472,0.5791184808247266,1.5252470027779226,0.4860146046001948,0.45538715032254606,0.5757417118482869,0.43884148476067086,0.44497549423950483,0.7355042188543176,0.7242464237205405,1.87574092950987,1.9701441786018754,2.3428906492888433],[0.44742975041946775,0.3744825737124051,0.3947918011244136,0.27870597895843685,0.4664265127370849,0.30606618441364913,0.2420020029817914,0.2731155855014,0.3347913923756936,0.23684151176615664,0.25522091508920963,0.35124958468705886,0.25906223353213154,0.24313801726052653,0.3217777355163236,0.28930600964788755,0.2884838592839137,0.28097108940405796,0.3644080210649202,0.35328497726076985,0.40269880989965073,0.419743162735321,0.63809773275084,0.6352649441018403,0.6419856257462362,0.48389062692655094,0.35433200260653086,0.2848088766170884,0.2904738714633433,0.2933367379572052,0.3348912366904487,0.315739703792813,0.3795419459543178,0.3456193090459193,0.27763344386859656,0.3007115038370527,0.2962659672755969,0.34134097128487884,0.2970035531247693,0.34390193580099193,0.5145547024192649,0.4798640862556497,0.4584550545967954,0.6941800939870915,1.1941904558094483,1.5288750342716888,1.5910625924284416,0.9542085462458096,1.0470597934179189,1.2435145617574126,0.9454778286128613,2.366505079070763,1.3274465694894308,0.8682135421885832,1.7211325592824436,0.5725266515791076,0.7234317256828464,0.8498429398863891,1.1707762374431654,0.85782568306924,0.5601525892351369,0.6874204956886315,0.6697649203507535,0.5403694084561942,0.4697819425749528,0.481072136657679,0.616577970349454,0.38728203694955043,0.5691293621896668,0.44313694217557215,0.765476082928488,0.9898962752018636,0.6683386304870375,0.7900854576713325,0.42871790325142023,0.9055110057011462,0.3785453869993462,0.3366127829042863,0.3355887092537908,0.3810675080571837,0.3916823829157917,0.4744444157864006,0.9499569384901624,0.36143681072848066,0.47847772795404325,0.30886220797716174,0.3315465844744139,0.4791083958733525,0.31280815915617705,0.38857935749622136,0.34647949744659085,0.6269515746277731,0.4840863792618395,0.3878759614498314,0.3538751228013539,0.5050320009923656,0.5318865360512949,0.4032382447012382,0.3490937122262908,0.6257241993903312,0.3664703705631138,0.47947508757194063,0.2895180229581924,0.3703427362040092,0.40942375015469157,0.4148633436877692,0.5412268966099618,0.44520994937907554,0.39184460041482844,0.5581579421440909,0.3467651458305353,0.29296077949408056,0.24316565281281785,0.24010830514889855,0.23474019663014342,0.25589399832966114,0.33655083911075956,0.34357577018478364,0.5386133082950646,0.3516744183996871,0.3675723552733896,0.28158760594565946,0.3098385379981105,0.20514347862559007,0.2128077901464862,0.23396183045782817,0.32017871827269584,0.26309630297009234,0.29307790775442794,0.3477639309516468,0.3691127586386227,0.3880825807208476,0.3345944623784893,0.39713525998994087,0.33560639167040257,0.3230753801489123,0.5520825472882017,0.3938341353738149,0.4452670872217056,0.3538580194366342,0.6599339403501358,0.6845996526066107,0.43881394136549473,0.4144722576113949,0.3471244417371346,0.2924977584840778,0.2670265499915265,0.29885147705109105,0.24380756445431337,0.29848354703952806,0.3752869524384816,0.4644095166691509,0.7893382495001419,1.2793110046662293,1.31776159878641,0.46643065086885244,0.3369382134058703,0.3310824113089925,0.27899353309930525,0.31055383600184944,0.32212873750797205,0.28382066241993653,0.2861711264770672,0.3238589745114476,0.36115429680817956,0.5513635355959092,0.4731773878386425,0.6868072681379523,0.6510183434494914,0.6467014247116323,0.47068846030459793,0.3756577900296717,0.3709209387085272,0.3221960233053757,0.26994040649310064,0.31176973944490394,0.31551889740618994,0.49130037425251777,0.3313725793386946,0.33312089542566176,0.3901277137526253,0.31292162639909044,0.3380200208445103,0.3982145349232366,0.41546027297773036,0.5946265950996932,0.7292053169477691,0.8065350175578243,1.888184977606751,0.8163054770447473,0.969227483160138,0.8152743731587779,0.689273713925001,0.6218185796801052,0.4780028340212429,0.5036493396905072,0.527868652833811,0.4473859983130834,0.4349711651016409,0.4971299795019625,0.34941168388015587,0.38303982232544337,0.3477099376052666,0.33672461086690253,0.3506810289471815,0.4049545776685909,0.4648545124847117,0.4154352673998341,0.4744400653049283,0.4961527796431869,0.5090301753236661,0.540363665803161,0.6250119517080099,0.604159204456115,0.675201616882434,0.7049523723872742,0.8087031857265492,0.6489253446643795,0.5078668629271939,0.4884543278350715,0.551134802546598,1.8078926810330862,0.8887273388249904,1.362583376151408,0.9437995717317168,0.5993639195687678,0.6398179490571415,0.6210650396697851,0.6083531249745286,0.4448568670255212,0.5382041781767912,0.6262465114370772,0.7091127526656864,0.546616767152126,0.8954454178938069,0.8070923216127411,0.7604410127045249,0.9660716655457673,0.493904515075481,0.5273714468658156,0.5085075415179098,0.557265505608235,0.7805630138932422,0.7613960867451653,0.8832200747413419,0.6592879461520548,0.5428059437136422,0.6994937224239275,0.66868646421574,0.4905447225978263,0.6317720459010013,0.7635812475849741,0.5738663820467129,0.5773803695720213,0.75635141059732,0.8918863618108837,0.6421176954010823,0.6168243466469766,0.544623564328284,0.5004834864610311,0.44678896318590583,0.48193558607873105,0.46457199367290275,0.4358700547005389,0.43634630814031444,0.42263306797145217,0.4769451404937424,0.39913665285578015,0.4511873236932516,0.6388446736353092,0.5554453761898281,0.6197136744392611,0.634434414150476,0.8928770853061753,0.7799671666236462,0.6994293523434287,0.8616366934551629,1.0829756068207492,0.8805663378479,0.7167051218979639,0.597588113585457,0.5182761966666504,0.7937055278568218,0.6107484254629238,0.7190067064749452,0.7445426776841694,0.5470766506737339,0.44994149730797556,0.3964581441947341,0.39091165813378925,0.4640706432663244,0.4931178901792701,0.5699709920680551,1.612502295719809,0.4355580979421384,0.4706570282118164,0.6826986329164363,0.4833430352028364,0.43252592031898135,0.6922762089207839,0.9462274734358176,2.5092619189097114,2.6794537714065485,2.958526523540711],[0.4684942019614209,0.3485225953942926,0.38107407557408646,0.2900477193499067,0.3622577563593655,0.25837861011603425,0.19317331179308983,0.2704606221101744,0.3010060248195978,0.268169794892671,0.27956778173079977,0.37771128639108775,0.27901971032322825,0.2742459471127157,0.34060664730450074,0.31918661613230775,0.33087897941181604,0.34884914334665695,0.4002866206696463,0.38931460322772915,0.42193546295400164,0.4340203731023037,0.6284977869228585,0.6238115389074558,0.6395996305911837,0.4943654929097471,0.3635394825908228,0.31445475169441867,0.3074583823857659,0.3182848693400771,0.3455962503115236,0.35095368425748485,0.38979738454508345,0.3491864222048635,0.3035089131532965,0.3288286129063756,0.3358956354131241,0.3562684324449431,0.31831624482596377,0.36422215527503027,0.5285376423974516,0.4773726457033728,0.4423484331861652,0.656760376023688,1.1221669327027084,1.5027936505097748,1.517851431978776,0.8897831146202931,1.020118861190709,1.1904726819633433,0.9207388445984755,2.411830851755187,1.3972876000862775,0.8161768268160522,1.6825316633410623,0.5725450153385073,0.7436395675606284,0.7617582493641515,1.1749079797299005,0.830423845778811,0.5764981368114791,0.7619053593092068,0.7141619612499801,0.5607487003883229,0.4730265609809491,0.49262665365992137,0.6422039407764427,0.4388215681543589,0.602910300542856,0.48768749267176265,0.8133778154933072,1.0354550417209254,0.7034821686104256,0.7652611188546499,0.4767047307315276,0.9083411850954477,0.40002824471266746,0.3621916178483046,0.34900353194973177,0.4013725558398369,0.4260628371409494,0.505923659914426,0.9834545070954859,0.3808018558665624,0.476377170676018,0.35649015719138444,0.3522226105354165,0.5109828175785158,0.34772357243939267,0.40720928929797,0.3671256302023318,0.6209553634965338,0.4661732892334676,0.37985402022694387,0.35874874618367053,0.44843642522542326,0.4840601324522906,0.39773047789417404,0.3669076647550517,0.6769084940409901,0.40077982739743334,0.5269581158948807,0.33162638558337487,0.40750677609256286,0.42799983486755966,0.4464480070316364,0.656733668427607,0.4336496928511232,0.41790252260307886,0.5968794212603162,0.4175152126351248,0.3067902677059159,0.2337006882694255,0.2823524306262394,0.2785383402632929,0.3010933537968134,0.38454215098578476,0.36010853984922325,0.5049372417653959,0.3994822724438444,0.3995135660348061,0.32089518278439405,0.3470519488016989,0.26747106522143016,0.2506668162823342,0.27810768623308685,0.37872376204716285,0.3014954445746136,0.2885973662872724,0.3232336694604424,0.3387561394424685,0.3852927685849756,0.3364243200923586,0.4038434195751721,0.3603946700273795,0.36174265310374704,0.5800789402467074,0.4569557527718784,0.5489553990678078,0.39581289913702966,0.6699529755240261,0.6242772060394469,0.45041355357820323,0.42372036245375966,0.35853747296786825,0.32776888191902953,0.3039274194241222,0.3229443664364804,0.27083246822591156,0.3081391545931492,0.4102515942808207,0.4457105439594093,0.8492667819983766,1.3072656518013686,1.2847026991233355,0.48031414568143227,0.3561024778216994,0.36312787103391736,0.3215043070822575,0.3711848740660923,0.3175340339733494,0.3136375695150615,0.32936017790633715,0.3531601627534824,0.4205356645060503,0.6034371296541661,0.5017787749053918,0.7041949192084473,0.694619910229338,0.7060559192171089,0.5075536714805944,0.419722849735572,0.41215402027654213,0.35623176365364945,0.31482376019101166,0.340200197403618,0.3488209310371624,0.5715552434078377,0.3567079399909506,0.3681997571011867,0.41703818648606283,0.33627599851379414,0.3438025904916758,0.4016460814612707,0.4187502245367306,0.6229700284964694,0.7532075774198782,0.7841532274152468,1.9425258002901438,0.7494947956576533,0.95406485422835,0.7508635259229106,0.652952728699771,0.5938660569689065,0.46039404958614644,0.4821944250679059,0.511947045622822,0.3921778255887797,0.3928688032837103,0.46717198812425637,0.330918123429312,0.38848812678798533,0.34286197534523716,0.33710043188082695,0.3625034325186464,0.4110715518874986,0.4799655045861907,0.43241743104154,0.5023434233572708,0.49421882889390073,0.509946211088167,0.5431149667742315,0.6262043838084077,0.5761179939794969,0.647161618594574,0.6888076686954896,0.8175492879707165,0.6650480589467251,0.51434989251864,0.4980309372417014,0.5317740028180845,1.8640887468449263,0.8871475826914154,1.4665669560654115,0.9069043027566412,0.6071423614340551,0.654993248643736,0.6255190691604648,0.6196550717558801,0.39913154241006954,0.5122793320091364,0.5603356275010237,0.6994630060306436,0.5114176530309309,0.8467849063677995,0.7432172689522145,0.7354430216853661,0.9224483761132443,0.4760995745261228,0.45851164513245674,0.452893125813066,0.5263869398374015,0.7444163139060446,0.7872812254405928,0.8514246137519642,0.642505762829634,0.5542726551440061,0.7112210628695397,0.6869774862957154,0.524973833106422,0.6916061863583841,0.8191863037272786,0.6142508052269355,0.629638927507048,0.8119269537569855,0.9220807955913713,0.6656054431389982,0.6561058472815057,0.5816001372696132,0.549838987019803,0.4897525162773306,0.49938480411058983,0.49589575349107834,0.45155451229007737,0.44941640433780106,0.4274376236032037,0.48035701482469,0.39915157137990026,0.4500564621840313,0.6418279626031607,0.5693671638564021,0.6047207019708812,0.6070914373143292,0.8580940262102061,0.7417013444662736,0.6961531262251001,0.8045082435700178,1.0351450656486978,0.9361912688338603,0.72760898582329,0.6043708756968764,0.5176985411937669,0.8222260527301098,0.646797287632761,0.7383650369656434,0.7380346345734097,0.5480151788436889,0.44300835819144313,0.3697519218601194,0.36897842416777715,0.40194977410866994,0.5160736482949582,0.6366406757243517,1.5795206788942056,0.42987178973830387,0.51872315496444,0.680049763372092,0.5031331318503663,0.44112491441934654,0.7614342355363927,0.861159071314864,2.253465365831327,2.295109644693264,2.654913467556508],[0.6320735972911055,0.4315807927702885,0.4380012030376777,0.37574871113609604,0.30577909591548397,0.2936178232608378,0.2256875232014327,0.26993214139246685,0.25377448536499475,0.24560746188937438,0.2680963466254805,0.35771840388279935,0.26272226455301595,0.27283877843308435,0.37050399483646956,0.3254938422765918,0.3179495948138618,0.35866035943818264,0.38840825784714694,0.37887962867916686,0.40447748891678764,0.41071226801587296,0.5742664306663989,0.6053107510502457,0.5545194166364148,0.4470632039617952,0.33042035970291395,0.2934132076953982,0.294033749256122,0.3198560892603621,0.37779138310463517,0.38297426674949453,0.42525254055744377,0.38038024946562393,0.3288420417146344,0.3372879137622383,0.3373363730892378,0.322717894417359,0.2970080163633088,0.3329119328126779,0.4922657446350908,0.4327105316928981,0.395044011127906,0.5978420849845327,0.9989033468665549,1.4044726759532844,1.3594887449628938,0.8223162925402507,1.0219583447779665,1.096686235416264,0.8853412112136668,2.6076960593934544,1.5250492992466256,0.8447909376807003,1.4811709875729757,0.49215790170338,0.8785775494190443,0.5330398746906595,1.0462118622578704,0.788582337467269,0.5729403961901681,0.8545470161920721,0.805329136768377,0.6212902304371741,0.4433657637180874,0.49676688514800793,0.6565834297452984,0.4819139957000055,0.6523448480778369,0.5389510701466781,0.8580352377485709,1.131924949910685,0.7777380423595945,0.7923884718681841,0.5121211473685243,0.9283978675048432,0.4327756878759531,0.40594396102411806,0.37152761791699784,0.39344830385011603,0.4509472754895403,0.49695191977430603,1.060995182396746,0.4457501132558527,0.4547549564105255,0.3669400913518447,0.34274764764407706,0.5012776584994062,0.35336723570272854,0.4347198277402812,0.3974878345958102,0.6226824766616751,0.48435249600141855,0.4074920917669269,0.3848017179176329,0.45504174124162033,0.5149629477941512,0.4188831377188716,0.38417503754904647,0.7248951926227986,0.4273738709667459,0.557625982386054,0.34858000627956975,0.43755462651227084,0.4372369910901409,0.45127506549864815,0.6880716228334148,0.4230113660188147,0.44049127856762904,0.6202037663056013,0.4086768524510311,0.291739318877844,0.23711584425809126,0.30616278682412873,0.2909207344108083,0.2818035667234757,0.3502138900329337,0.33687134131430374,0.46642738476340395,0.43412653877149615,0.41047476892745993,0.32435806955573315,0.3207488994026098,0.2695627345043848,0.24901044381481563,0.2680390525414115,0.3495275269881152,0.32103791011388944,0.30886353970911407,0.316875543282088,0.3300738539974337,0.38709243128037163,0.3193363074259642,0.4200202424988392,0.37352172826931773,0.36983644620663253,0.5954667809030784,0.4631412503385967,0.5736885654750145,0.37039172498282247,0.6266475317199784,0.5308636548922407,0.4171877828311965,0.4095442473929111,0.302342735879498,0.2977245273400995,0.2657635704847571,0.32506801119391265,0.28137488416316253,0.32055995274724136,0.41013433483467726,0.4956942679336742,0.9597824564055938,1.449558358411553,1.3360461981135932,0.5191119602940981,0.3559789302859423,0.3907991169603877,0.35168985684521,0.4005894740328135,0.3199301941240221,0.3138410563717545,0.3261912409566862,0.35048876787581035,0.4304396758664387,0.5402971684711728,0.4756704266393424,0.6351881689999112,0.6412348100087494,0.6601720808527712,0.4840702895026624,0.41129730789109076,0.42139340141093784,0.3555933865561688,0.31261248614203163,0.35063837862417124,0.35282748059121316,0.6160504177966865,0.36359636974820164,0.39399497433340314,0.38517734672720266,0.34983439115051707,0.3482530221193042,0.3724369267748729,0.40577565336336585,0.5949115154002232,0.6937580259103096,0.7258795301601382,1.8783732101598762,0.6795334626197989,0.9373550861840206,0.7663511486455473,0.6394023707729934,0.5605344368891172,0.42276959746352655,0.4395436873891174,0.5245150346187727,0.36840329778567826,0.381780558442693,0.4761370558903103,0.37306702071049946,0.43510085362723677,0.37507899249606413,0.3841425901829203,0.40820089431097645,0.4338313206335965,0.5391565407331089,0.47740106309201774,0.5229208683091735,0.5071650333226856,0.5348673968761332,0.5480760848123023,0.5993775338665087,0.5781701812181655,0.631445159028828,0.6678472803679811,0.8232175294653904,0.6832371967052704,0.5337686902835059,0.5320908402286979,0.5509216155324574,2.0565244876135633,0.8950712431206853,1.5276212840437922,0.9048620045255855,0.6482394648113804,0.6710837553552433,0.7008558144332024,0.5960750205626566,0.4126294248080701,0.5783167559075441,0.5723059434710885,0.6821328282320799,0.5010988176751484,0.8636677733059518,0.6554937364620856,0.7220599359789042,0.917800556431007,0.48941572237847686,0.48414082400278263,0.508300404983541,0.5834057259145167,0.7808108046242572,0.8755722352414567,0.9150766891455773,0.6866710023548571,0.615652798203068,0.7886843171370677,0.7238527624039819,0.5421187273531083,0.7162861030328991,0.8180021335577263,0.6060106888827197,0.6443338420042637,0.830745288720929,0.8817706767516872,0.6801457128162343,0.676369754890936,0.5914634892542906,0.5661380660389215,0.5231349956077954,0.548778544855719,0.5289399755121783,0.48257152915334695,0.5018685591553919,0.47018151751325593,0.5148323210783371,0.42582342429046777,0.4675340950382609,0.6320881459906976,0.5877669689293094,0.5832439186878532,0.6131995070306504,0.8123884273761799,0.7068665850653257,0.7088765445841604,0.810375791313281,1.0624444576957814,0.9604108687959219,0.7564107524687396,0.6208992487331091,0.5767877278791936,0.8862617209897675,0.6987307974519681,0.7514465599418177,0.7266727335134997,0.5483808608554677,0.45363460235319986,0.38085537804993846,0.3882642039941843,0.46291878742403014,0.4877398782094764,0.728763368281525,1.697799179593151,0.5165761156025166,0.6840878620732807,0.9536951214856878,0.6505123212454084,0.5066799128096476,1.044091072674992,1.3531873731156956,2.895429155828406,3.2855817982731947,3.6409653183634316],[0.6867410501626012,0.4241868435154979,0.4977896161741661,0.40587053608595497,0.3052120372417581,0.32878495901163735,0.2270660758481985,0.37824607517733366,0.30504064760011496,0.2919108719289012,0.34231741437081326,0.45675476852744873,0.3392852843690331,0.3071633548160129,0.4531342299471283,0.40887188717762507,0.3639325140778252,0.399770930193369,0.4030294860626953,0.3894119569686827,0.40143050881829895,0.40930767680364466,0.5688364369130271,0.5824720856666477,0.5647343994148643,0.44832166112098515,0.3563293535856022,0.3299031660666968,0.34546816842608014,0.3737849246895697,0.4319847711861329,0.46479779368215757,0.49752596136549376,0.4748422967459006,0.4161798825007087,0.40260164279106975,0.4288745702183599,0.38033039408336095,0.3526301603750273,0.38185608877530114,0.5428632473195152,0.4578491911701633,0.42591072170629324,0.5986232373939715,1.0226796974655972,1.4645297289177632,1.3673682768342519,0.8044481257164855,1.0217179777504444,1.1104109329530556,0.8867749958575366,2.522143920553684,1.512963791809137,0.8207714320392852,1.5695178899643878,0.575137346194327,0.836500669947992,0.6284790798225335,1.1885184904562898,0.7750948138542334,0.5970200785619229,0.9233747548582545,0.8179433444618325,0.5981312716775136,0.45913792558959415,0.5091345478518787,0.6520164781368845,0.5101772818815771,0.6441561405105959,0.5643058808674796,0.8733265439581498,1.1468667627485047,0.8080254558073694,0.7954124039035623,0.5569297337200069,0.8889688561487661,0.46797589680145835,0.47923009332126576,0.44394840228671234,0.4410688483714067,0.520935322533705,0.5501610159528927,1.056932376972562,0.5003962964819124,0.47723621830661256,0.41028172978786565,0.4079340669919425,0.5800119216164006,0.39276360071406896,0.5025832082564523,0.46659691219914573,0.6142301052346743,0.5213143895680143,0.4827311206271065,0.4618158212339575,0.5291882158979038,0.5878005623998138,0.502691188708142,0.48278496620381034,0.7712791875502191,0.534270805519795,0.6383431407464396,0.4693130446167654,0.5306180828099639,0.5145168133726489,0.5417111329853551,0.812401408513282,0.5225301230578475,0.5396479392217541,0.6816412784880739,0.5345650364717188,0.36292068662498217,0.2885699547839792,0.3213691592842553,0.29017626907856403,0.2861395213118433,0.38885756753944345,0.33070654796498733,0.4201505018752592,0.41649221298687683,0.39498532253049695,0.32556872141915316,0.2988365030461581,0.26369845797664676,0.2539714321883397,0.2840689385714556,0.41664095746058616,0.3661197923193146,0.368807015045132,0.35480846608152755,0.3673708851069654,0.4445002198041758,0.35236213731596194,0.4710818131110306,0.4061319014752539,0.4110349020928857,0.6487813455113625,0.4914735400356597,0.6172429160266374,0.38887082732520406,0.6318228375489082,0.4840952580535314,0.39694813468228507,0.4023685278003224,0.34263618072553226,0.3529223048916597,0.3180787792503242,0.3805536862863252,0.3441877237894569,0.3691762974854107,0.5143841951853605,0.5211764264764239,1.012586418703086,1.3613116012615756,1.23680833062744,0.5650859275320917,0.46971071899177885,0.48447947378949985,0.42104102584246933,0.46363485922705566,0.361667069582645,0.3719587236339696,0.36098492858553205,0.3722740042871731,0.4755755786707976,0.581250050960651,0.49332100880783775,0.6425077272846463,0.6732314235777717,0.6904151218698326,0.5058970940146958,0.4380496400902699,0.4665075537902399,0.4191211281731092,0.3964201531589999,0.43598732644329236,0.43790809282458826,0.6888450353423907,0.4285953566105993,0.4688724033477188,0.46129991713006974,0.41389876747763465,0.4076660450878893,0.4147045573830547,0.4406427690251478,0.6152377257220002,0.706267484942335,0.7140406215881284,1.9362446927014991,0.6226661055801753,0.9671846029139328,0.6882314453172682,0.6100531081701376,0.5417833067014347,0.4176197185585076,0.4501969753287907,0.5362975788626233,0.40543563624818163,0.4376534536347346,0.505340223890225,0.4303244855671466,0.47348050562065946,0.4169191806668744,0.44945763748358514,0.4643215025937984,0.48157421767435543,0.6026046939808117,0.5463030594234871,0.567731982247921,0.5642452217919749,0.597272476922586,0.5973895387184983,0.6335177181500504,0.6383894175477376,0.6741842774823719,0.6987789937926713,0.8449183352350212,0.7374844923158419,0.607538067094668,0.6028843609981118,0.5985899517178004,2.0802529428195924,0.9097756755159613,1.5989184994802383,0.877320769888356,0.6914015327182967,0.7247228601687231,0.7566415602588186,0.6605930992227393,0.4707846234697988,0.620336619681178,0.597223828284541,0.7273291518987913,0.5520088457200993,0.884202677217409,0.6536217080874026,0.7627179296427385,0.9305404909419198,0.5500609398223806,0.5245850735786288,0.5278410217609015,0.6137013021071628,0.7734859972426504,0.8839370395957054,0.8886440617793063,0.7008566234380648,0.6271599555365747,0.7760278348029154,0.7182423412129175,0.5713153753639324,0.7383835308515257,0.8318940217304868,0.6337254350681204,0.6776124112846443,0.849217702568743,0.8931174578499061,0.7106178435350288,0.7111245018078162,0.6324539292530431,0.6104417580241948,0.5676804383868778,0.5887097203095545,0.5834791236600886,0.5421561259425274,0.5445097531333687,0.5308557738294248,0.5719078237285152,0.497276982658333,0.5286006650920875,0.6732267654886676,0.6491453314310196,0.638299069628699,0.6693563934673035,0.837102130008745,0.7229449359920694,0.7471245071179154,0.8141208268355102,1.0561762847355751,1.0075493053424651,0.7935533791251762,0.6696968362810752,0.6543419355225116,0.9421284443124962,0.7672057244538768,0.7908618373768133,0.7656582683355977,0.6265496308365315,0.5095734033874713,0.4395030915064244,0.4297893743217491,0.5109478315854287,0.4965431509204243,0.7511424430484533,1.573858746555315,0.5708476651252138,0.7297802482935344,0.8924636771861412,0.7201029349912411,0.5599288732349901,1.105401513542911,1.2129681882562535,2.6022733525923956,2.7135174730036815,3.169274598614972],[0.7471920851307259,0.4610007843479654,0.5524052630188078,0.5416567751945546,0.44559022606111565,0.4452620567324887,0.38081028839848724,0.4019216336714698,0.3272215893766034,0.3368421864215197,0.3625618452871995,0.4681939079608112,0.363468833482851,0.34668818112287214,0.4948508457054873,0.4409194945212105,0.4052047419287238,0.43912547914426814,0.45394089868003545,0.44303289744405017,0.45112646840950044,0.48156614116211927,0.5862148544478237,0.6497455242520999,0.5991641380935055,0.5076376985220895,0.43297721736455236,0.4120310720009217,0.3992840642785987,0.41494424161860244,0.48268331477001947,0.49573966540618614,0.5571107453776912,0.5119742699367478,0.4711005576980574,0.43977986277355835,0.4622826418748244,0.4241378153288257,0.41245823062755926,0.4369662625874025,0.5709319557323934,0.47898137075135694,0.4606050616486211,0.6011373872911074,0.9301966600507796,1.3834157665851892,1.2873930848990802,0.7809924692691314,1.0396979417378667,1.0760711427398189,0.9363898466934528,2.6937971518909976,1.6481687097715965,0.924501068406586,1.4336551094626508,0.5978879232049285,0.9874869323394544,0.5384055514554076,1.065871785897462,0.8227743703465417,0.6373628871951176,0.995764285361226,0.915321873475437,0.7043717271140422,0.499559507984882,0.550469073102296,0.7175216963971502,0.5684958977359397,0.6783584910845577,0.6026367597005193,0.9041558044624146,1.2594219972669998,0.8762696673501007,0.8573004636601995,0.5874700288078721,0.9434940794508324,0.5149197930575581,0.5311324243605667,0.4861125015485801,0.4610005808735411,0.5668742232313223,0.6112140766374128,1.103519622621871,0.5825901314073739,0.5223542774205416,0.4839983442398471,0.46347524065552637,0.5961020354989629,0.447759459790802,0.5448135854489154,0.5047302010016681,0.6550925843770989,0.5745334702621928,0.5352481731839228,0.5004783749183034,0.5709174730960089,0.6293284285777075,0.5577728317082039,0.5464173276682636,0.8633459506993182,0.5884544114626474,0.6858051992046624,0.5148539655262918,0.5646574256657948,0.5469216189407483,0.5480583816307317,0.8501865070120399,0.5600393429393633,0.5773916879725632,0.6895423784050666,0.5405568755975929,0.4021685023114539,0.35239178168926055,0.42451110272022813,0.40046931342312697,0.4226185832236954,0.46803294055722444,0.4254174036935126,0.4959838015578621,0.5030764938402038,0.4522365332873977,0.4005763705045073,0.44945733608587735,0.4321725114454144,0.42699725951037054,0.4196939096667349,0.4716578779632338,0.45324194837848103,0.4458136163252757,0.41503307278502305,0.4121224289443114,0.49149440777855397,0.4310509188533107,0.5318704672823956,0.4799267521506848,0.4959560481792879,0.7367947907524263,0.5917522079344312,0.7074046222368625,0.49009851036677826,0.6901177885840536,0.564865844461084,0.4929932932818769,0.48352154601165565,0.4161982662695052,0.41862718054162107,0.39675582321996833,0.44738476151620515,0.39154798640351135,0.4075921778103916,0.5167794183366293,0.5499901788645866,1.120497275494245,1.5231356847869666,1.2589878680064361,0.641237399170699,0.5050539356770584,0.5193669718495455,0.4623365639472291,0.5007972221826885,0.41676178350836107,0.4197357480859892,0.4553573396459784,0.43461394951830395,0.5878377235630333,0.6468428808539539,0.5758867451171542,0.7035733994148136,0.7370095866706294,0.7594508727885145,0.5941394912512064,0.5241753212685203,0.5361400218360445,0.456605345488061,0.434228015433298,0.48310115244765967,0.4838211230117621,0.7442704301533792,0.4750268654190556,0.5071693537795671,0.47672389064191595,0.4545889630557214,0.46069296928449655,0.4708341153575502,0.4940842827461688,0.6321283649148763,0.7049528663160486,0.7342670055918529,1.888769609421886,0.6596924495915696,0.9817244881332725,0.771640895615065,0.6481693494563071,0.5894984181432983,0.47386779663317574,0.4828701003059849,0.5784791921683194,0.44891351734476276,0.48816907441512397,0.5209608227154484,0.5035277433916281,0.5464986736113796,0.4704139308336021,0.5201363079735771,0.5374930308090216,0.5482396148020748,0.6395916158675563,0.6105336020073278,0.6445194885394451,0.6278152667854476,0.6623061315740723,0.6797260712060775,0.7047902147358757,0.718966741989391,0.7621523472130031,0.762278510682217,0.8901491782330588,0.8110885109853386,0.6819856513960564,0.6974945071537186,0.6887793948393454,2.1485648132681443,0.9737067392031349,1.716868308553675,0.916115701807198,0.783552114782362,0.8041863481483724,0.8462436802547529,0.7083166690688055,0.5453013957981186,0.7025191538024844,0.6480617477349233,0.754845919773448,0.5922285158990982,0.9173328475843772,0.6790033997430267,0.8019251378527964,0.9442235751248894,0.5984820745082359,0.5718137732880302,0.6003435600419715,0.7035992442667595,0.8501636198914793,0.9827051376066019,0.9820946746101384,0.7872636888135824,0.733141285910816,0.8939043286464193,0.8004474134027014,0.6694785432324006,0.8424840812428759,0.9126779748064042,0.7125394132025678,0.7823040790059127,0.9673246037680624,0.9469877737499213,0.7964041838662845,0.8243614743575389,0.7365741559967645,0.7199559822579249,0.6669368139740971,0.6788564793952883,0.6904473088437938,0.6270350913097041,0.6104030574897975,0.6205017616554034,0.6548118268067309,0.5804560981767481,0.6025541465760561,0.7370863629082431,0.7230014175622669,0.6883056451874852,0.7256648411318501,0.8771547922205388,0.7623277515475803,0.8133870182330094,0.8712230986690139,1.0937686887382225,1.0823474052865023,0.8656117167042303,0.7375203205071835,0.7243496197305719,1.0067887813504344,0.829957070697733,0.8495799144205032,0.8078978060308624,0.670446599241053,0.5478142535393492,0.4897490554394864,0.485001442767699,0.5977691779932095,0.5897920124723236,0.9013166265428147,1.6170713080240489,0.6591454282075563,0.8818844685298036,1.0198375182265966,0.7662020732729887,0.6515580127916222,1.4212479912363818,1.468481240595203,2.5817566789518995,3.0515364581512405,3.606469568180019],[0.6678232568600452,0.5959247792805578,0.8542368611977645,0.6825503278078585,0.782394970018658,0.8077848831496743,0.7182408494215159,0.8013569861209894,0.6166180160588471,0.5785694768292567,0.5745855243019456,0.7057057814596503,0.6654803952133423,0.5432322605213551,0.7021698575767926,0.7032430345938285,0.6660582888104948,0.6778168366482398,0.6532140529077797,0.6740441991209697,0.6753221723913592,0.706687960913395,0.7422410182024242,0.8026975094302385,0.7985084940290381,0.6930104788957757,0.6777372950048831,0.660290854464232,0.6888699242654291,0.7243632742824183,0.702196394118004,0.7776006499238071,0.7845718681176188,0.7561006259608054,0.7792566427960848,0.7288401740593157,0.8017457912802862,0.7248369693307969,0.7513868376045119,0.8089887030424714,0.7931130090835666,0.7034905405958043,0.754675492029001,0.827135930208184,0.9816470765121099,1.4324481984044004,1.327420842142718,0.9620928839352028,1.1908093438200655,1.1827851527757398,1.2447251825684726,2.9512561193971862,1.98505744568305,1.240086591366292,1.3849993803793508,0.8722297389588388,1.2984188662074112,0.7945340384547226,1.1025493041056509,0.9939988546415097,0.8748018328921144,1.1852436262591255,1.1177334733355877,0.9298676597056696,0.7479612670617135,0.8131400615593273,0.9271623591901726,0.795439640978854,0.8162341126960904,0.7628262184873545,1.0164275922459476,1.3530506169849197,0.9952727639236375,0.9371543003763244,0.735251070047947,1.0199149238014147,0.7811566840743547,0.7558506152227176,0.7677841490907805,0.8062788177815344,0.9194958557504563,0.9573846675362943,1.3287172140467964,0.9956607061946484,0.8696793027659835,0.8474172864083942,0.774550883651817,0.9326220767690009,0.763380974063302,0.8145695106653621,0.7457368836741929,0.7471939328347578,0.7379666647153355,0.7334033819749783,0.7051752171238101,0.7010874859159297,0.7820216200710934,0.7700971732806206,0.7960593966526177,1.037452646228737,0.876432272550433,1.0068598304339926,0.9228393415995076,0.9707600118419104,0.9591413937976028,0.9769193531364072,1.294696884941283,0.9903738494824846,0.9924454765671351,1.079635916219916,0.9349480847539153,0.8427562196184597,0.7812607416680581,0.7671556587528144,0.6787798925040844,0.6605375941871224,0.6576751740441638,0.6422346796514907,0.6364384675493203,0.6761763788702407,0.6070538129245383,0.572665364877939,0.5737418885601835,0.6083482194111899,0.6476569530634166,0.7069419890330585,0.81762483458705,0.8356970605972343,0.8604685371831218,0.8945056465403974,0.8725456035272912,0.9632036498454726,0.8953023384466211,0.9717626882938147,0.8903714542131919,0.8629441719244068,0.9786379590282461,0.9076419977118626,0.9606376111810809,0.785399387616922,0.8810144306277651,0.7730183058729805,0.7400716467282489,0.7311002862231293,0.7158232910860663,0.7388029118616037,0.7257308153987851,0.7872766319039235,0.7965835988141694,0.7877501845300006,0.8806474339419118,0.8519756530098976,1.340550419484046,1.465367361643985,1.1871907495554876,0.9290706348902156,0.8621952340083385,0.8959502807306297,0.828553332299098,0.9395603469596692,0.8335443719681447,0.8003222432541504,0.8071661735992558,0.8236327141784788,0.921230596821439,0.8834804207472137,0.8990785187894847,0.9613808116776981,1.0270386254126231,1.01539149223306,0.8911242197884499,0.8680949300754137,0.904913051070825,0.8666226985878097,0.8472232853325429,0.895436709342415,0.8643100153630036,1.0894698234612588,0.8908572483165901,0.9327214920247556,0.889094005810436,0.9180950086599325,0.9162903129817581,0.9120981349446343,0.8820498305465078,0.9262337108792185,0.9460304764102636,1.058676109407963,1.9524684489077297,0.961957328309512,1.219259923528689,1.0124406333981064,0.9866585113324121,0.965489108272516,0.9234972992344324,0.9637563521533452,0.9576148022394327,0.9049500966672067,0.9189868799805491,0.9339077759077578,0.9438651879836845,0.9899187260380155,0.9090879595221015,0.9151165107966529,0.9490804967569468,0.939977662733487,0.9637487628300457,0.9525215221027468,0.9830425161791486,0.9458753958690792,0.9627075018428308,0.9656356817911813,0.9531396859801282,1.0287550236884804,1.028166659996418,1.0372427037036427,1.1156797091278274,1.1007818630284558,0.9927096475736116,1.02148331777174,1.0359816792383567,2.3649545279806627,1.2977822864571922,1.9683557361251167,1.2022884093317734,1.1406138965445742,1.1457999063943696,1.185213681925666,1.0565981820856285,0.9681320678149532,1.119549539804282,1.020131091731842,1.0663577818264764,0.9816832287073056,1.2284074406859133,1.0045884579410067,1.124961336607248,1.1824615950461619,0.9588824885849014,1.0084074439613686,1.0389166322194059,1.1043056754375051,1.222594595390907,1.324639173268806,1.3452171425822799,1.1890482716746709,1.1296989515531195,1.2703137571054564,1.1691721385998743,1.0609849526206663,1.1641437349201604,1.1927665659033466,1.0301001584677156,1.095159585074456,1.2134013037996798,1.137552597854448,1.0583184657412847,1.0942850052933917,1.0491110098077163,1.0581729347215343,1.0390774314575195,1.045561189249468,1.0267451094115203,0.9722436198484153,0.9575201677080898,0.975221526838994,0.9869189449765523,0.9435622350195386,0.9656833876531588,1.0031967113217082,1.0223851123510468,1.0153065183539642,1.011798925640454,1.128512447215604,1.0293405791748875,1.0619341753414537,1.0715444587697829,1.2241445359373968,1.3218335891632822,1.1187447620885018,1.0240737751834383,1.0329588541909873,1.2321483012227548,1.0686108613923697,1.060139672356896,1.0604095199000687,0.9715330739703619,0.8882915745625969,0.896938987462069,0.841339774412172,0.9627757045629056,1.0749709589176961,1.3885158541741573,1.7461653879136598,1.0081562720649964,1.316135179365428,1.3117808592552032,1.0206610026347753,0.9661541114232904,1.7856813425108817,1.6689090881080872,2.12080318707108,2.7342003362918272,3.367222211859952],[0.7734784948105441,0.5346205520033749,0.6744335291981539,0.48621167932592063,0.5168595029797374,0.5389125439782705,0.4467793474283619,0.6369667427249482,0.44102569259952734,0.4091395866541948,0.4967477495825979,0.682183857669667,0.5643090266500522,0.42721516874404,0.6927713975274887,0.6764194308689354,0.5584723865486451,0.6106388625138917,0.5822683051271156,0.606186268863349,0.6052834439244984,0.6521656716584742,0.7017581361993933,0.7135468982338128,0.6554457817134277,0.5763670708878692,0.5327837959938155,0.5260348661879247,0.5883099898512033,0.6767394157588732,0.6992502126672934,0.8112743150790892,0.867065998491843,0.8348978482156607,0.7981447421442446,0.7059193173324168,0.7929869036620045,0.670508876990941,0.6374007026390013,0.7077720027966361,0.6696913032805708,0.6231999642925042,0.6761980026637846,0.7062608586703093,0.881224694246959,1.3188309791467239,1.210243415348323,0.8565292338030235,1.0731980189301022,1.0497938596894392,1.1063356391421852,2.918730343555065,1.9347162323518228,1.1832898043100801,1.3596231075889469,0.8317149060975959,1.2768061023026143,0.7858979376015897,1.0644385027723167,0.9685518182727566,0.8465590691344324,1.1893023152480415,1.129526839453694,0.9684191498877671,0.7134908917087679,0.7601150503876586,0.8771100330640252,0.7677957007272976,0.7946737246151004,0.7393547352056585,0.9775752247963736,1.4056605556293866,1.0138683856911157,0.9507141250965302,0.7524859225720437,1.1166307442539762,0.7736904064930995,0.801639266780639,0.7850251278319134,0.8081350945384448,0.9393597269069861,0.9631695432142889,1.3913501056744075,0.9854830872970943,0.8005284049334973,0.8122506000347194,0.7404277826423274,0.9281712479665457,0.7293965298178563,0.8628244309018425,0.7784184105682128,0.8396613451490181,0.814279110953158,0.8218407466941771,0.7532498146154842,0.7931245139872879,0.8322473524324582,0.8317602875789744,0.8605640779760215,1.1464582267729386,0.938619132485377,1.0498659561869057,0.9337958349529655,0.9829731480965076,0.9427642433461514,0.9080310740043013,1.2253111703729158,0.9068695739721323,0.8895907716894981,0.9782468215897956,0.7983402434533262,0.6763431446800902,0.5836386880164679,0.5509541970171609,0.4646867198193794,0.42603647443544684,0.47661035494075077,0.43799646897576766,0.5133709113687456,0.5626215716998315,0.49490622284771774,0.41449390786894597,0.3755102641759183,0.3655386364962116,0.37267557442255667,0.44070257455001977,0.5846141584358845,0.6431398612360905,0.6751056156264772,0.7574980394510379,0.6960006444701794,0.8294325969712151,0.7291570451660419,0.8683311166485042,0.7223037387447276,0.6761726664138342,0.7761550090518922,0.6562682380187354,0.7342664651475558,0.5363502806622723,0.6800436690466083,0.5607876593255692,0.5328382439048198,0.5446879330348979,0.5358763554404539,0.5873082757211123,0.539842738068227,0.644313731062941,0.6622310825891959,0.6442314335472956,0.8322313232242732,0.8502407070757234,1.4343841953879133,1.708815075393754,1.2627159682455444,1.0163809079932506,0.8779970272516546,0.9078534662863703,0.8089898554277348,0.8704128357590147,0.6916291602590238,0.6814703337106078,0.6102413129412148,0.6772255180042904,0.7311574675199568,0.6986032499921765,0.6948570832184747,0.7568865020966125,0.8212038734885738,0.8075448273150423,0.6954490220312148,0.6506009954659946,0.7296848163149221,0.7320309998875291,0.7629108550218981,0.8541373542683351,0.829655989387276,1.140300383069923,0.8567051934001677,0.9236075274743883,0.7989412652201093,0.824117551937529,0.8115343932494007,0.7952340822169055,0.7405185690192682,0.859274698532764,0.8593691401549095,0.9661009365375398,1.9048851456982088,0.7836164698991672,1.1157904450941754,0.8696183353853989,0.8010124280882617,0.779268766251873,0.7489508643190634,0.7980688207299728,0.8128414644627696,0.7636882896570301,0.7622621910363271,0.8178897148207901,0.867619931140055,0.9510831336587316,0.8029118030464405,0.7985226825880317,0.8967006947479245,0.8717423135281889,0.8212483234234952,0.8688905217448301,0.9813763098687074,0.8693224297358563,0.8882866640048697,0.9585336527454869,0.9497155652483318,0.9628882640396057,1.014141289922618,0.9715805710246458,1.1088073312014544,1.0315208060585785,0.9415302696654849,1.0133537878716414,1.0465633931664737,2.4093304069820474,1.3225697145269604,1.981881575318761,1.209581290124561,1.1697163841396467,1.173920903179356,1.2339217595630219,1.0669650865372358,0.9423563425183077,1.1179282602797156,1.0021082072617944,1.022875315978238,0.9078405474484817,1.1758927345383294,0.8877397665432024,1.0163034836971283,1.081608234385649,0.8446209883284865,0.9298331052136156,1.0027331951196194,1.1076810545307727,1.2549739807302096,1.4109188115219249,1.412413369852824,1.198502935173843,1.1963835137635246,1.3749655348727494,1.2234970442597133,1.0921062762164655,1.260528637869379,1.277765939921792,1.0646092244082543,1.1807159831227798,1.3282880236833552,1.211054228959045,1.1246044931397363,1.1960209659689716,1.1073248143758991,1.1306666429385763,1.0914520210828316,1.1023605262138556,1.0758361964422654,0.9661395683569934,0.9587460042769798,0.9716391583271076,0.9572430908277245,0.8722283534175116,0.9219129682030439,0.959890589975079,0.9323267121095843,0.9029689404987197,0.940967738070848,1.0123635142772196,0.8854232850145253,0.9207101531992703,0.9613282169014276,1.097117705713043,1.2212272868411727,0.99989516585271,0.8922373891002028,0.8882342487426659,1.1241096378468676,0.9238296310267884,0.9243540595886032,0.8805532880595575,0.810284364536407,0.6780195725140754,0.7197375464212985,0.6437791801402681,0.842157633314961,0.9413571476325754,1.3226964547789115,1.6990617220128605,0.9412760282166055,1.2325931783061135,1.3200460180343487,0.9238414301928125,0.8161910219443602,1.8049604891955309,1.7728699066058913,2.189659955221869,3.1217431193741008,4.004224739468546],[0.7420358722139513,0.4493253029501072,0.5419379398855949,0.41170396664613307,0.32651972085691283,0.3501219486756581,0.29372312259406,0.4347819904622231,0.368265505344364,0.4400286701195665,0.5417414406260801,0.5960447010945258,0.5119092329706544,0.5099173403307483,0.6679329620741414,0.6086350486637013,0.5562611608570351,0.6153546607656557,0.6213467961187162,0.6054206918683154,0.6174689341322974,0.6323347902125005,0.7352045310743752,0.7687266619151546,0.6394329506365771,0.6195703410142703,0.5554504690012665,0.5329744636668222,0.5475953632928657,0.5871892896673948,0.6605387329108574,0.6563684149704794,0.7393577022833969,0.7066260886818696,0.6570645249945674,0.611360572412608,0.6289132496941917,0.5779864052612536,0.5307401309645566,0.5262885445226989,0.6492360513054305,0.6135383122022362,0.6055214208258446,0.6603081276033865,0.919236086711861,1.3371863526154302,1.1887761981415332,0.7979852674488219,1.0394601216530814,1.0418776297782393,0.8988414228625172,2.7594698425518747,1.699309847890541,0.9917984087372235,1.3565604796583506,0.6959453461746528,1.109642544779433,0.6360193977345707,1.0781919016223231,0.9157718911417044,0.8071712193510504,1.1641125416628195,1.0887691399674588,0.8952657049604523,0.6783519009926193,0.7052234196867633,0.8560529681440378,0.7363565334236339,0.8120502540753338,0.7514164813979038,0.9940599626798354,1.4197690190564203,1.0207136665667274,0.9852595151493808,0.7627797312889334,1.0523955031601249,0.6793496580889166,0.7154289247010275,0.6686147721409132,0.6617305159235172,0.7173221698226789,0.732901380641354,1.1853105389309053,0.7529500623538747,0.6419645327666786,0.6304542878176395,0.6215378077825148,0.7350887939738718,0.6208810494966889,0.7220322482433886,0.6725921387015803,0.8069204240342354,0.7301260026849734,0.7205996711310655,0.683200631206405,0.7389896144789492,0.8034916818755481,0.7157706012589099,0.7015358848389595,0.9696664687909511,0.7359048804288559,0.7973588413200509,0.6804791933308793,0.7074087880317885,0.6867220240381452,0.6379552727221303,0.9554707333013019,0.599243291926704,0.597065227773364,0.7767374864415096,0.545328422741378,0.4418006922040258,0.3726704075608593,0.4532461654118914,0.4695455950328738,0.4552041455721477,0.5249695087955443,0.5147184446236627,0.623077304509681,0.631084729086528,0.5928791250711974,0.5106665132714263,0.4775705522837042,0.4461597043278305,0.3935971601918617,0.3625303765073302,0.3950107265618902,0.4354158752089658,0.44293850872744733,0.463853525575246,0.4158179654992012,0.5127033261584377,0.43549339075731447,0.5789364591009452,0.5016053276245617,0.5001294827074941,0.673785709814657,0.5611348625733357,0.7124214815085276,0.5125704094160197,0.7233565114924659,0.5870385851807066,0.5395210626726733,0.5076449993753502,0.5017199816607629,0.5097906581783835,0.46505571795801404,0.5264179272721831,0.47412766570958753,0.45610388008429625,0.5904847596640861,0.6426516574006109,1.2848778366917581,1.7777274550805453,1.2763704368649946,0.789049517891527,0.6455772881247863,0.6499210465238353,0.608865951495611,0.6066748138654393,0.4957370479314462,0.5450019238546764,0.49545632307219484,0.519511249980829,0.5798870519674596,0.6232949353343196,0.5490530941776383,0.6499714563530417,0.6675937293667995,0.6923259604807811,0.5484855685961413,0.5139257551107111,0.5611868523768093,0.5299353978943335,0.5565820438313923,0.6121781626758251,0.6297034291502664,0.8697837144800272,0.6229726848877152,0.6518096203326991,0.5689604427380818,0.5502968492370185,0.5334925992479771,0.5334246347199986,0.5436791019028603,0.7120482389899334,0.7306113953775923,0.7704014099770679,1.802268735101238,0.6467310557640754,1.063441565543297,0.7795566961345828,0.6661911811658278,0.5751365909850131,0.4771360299520032,0.5097705878641346,0.597349965526093,0.44555503836424987,0.46950898525346746,0.5115401678629807,0.5336037424643507,0.6025753647458483,0.48721461039514347,0.5341114132855167,0.5965700140233716,0.5953619293746586,0.6545006014382259,0.6409382532291339,0.7157241847010362,0.6702959819559471,0.7069025659488043,0.7508834942035606,0.7655697966228973,0.789825955546378,0.8324214603709919,0.7989533180707492,0.960901673460457,0.8406624856939618,0.7225014299072453,0.7779446112660302,0.7814431518010858,2.312831207345462,1.0558672253636052,1.7759448927837524,0.9791615111358453,0.8724109336106066,0.8666467813893483,0.9482331210572398,0.7584861996370251,0.5944713715686688,0.781145479672164,0.6875929604914012,0.7353525953086413,0.5867084336681092,0.9392527262400333,0.6104236989539618,0.7947681638110516,0.9145797913834278,0.5933996108558486,0.603589108213959,0.6793293782779045,0.7795614949872343,0.9299629227360865,1.126620880518924,1.0885625488859925,0.870673828605389,0.8660000268853855,1.0327387636632979,0.889909316913112,0.7573040506515729,0.9629798188913337,1.0012382162492148,0.7934435888912232,0.9007723171619884,1.085820292552202,1.0259064659077632,0.9101404467844135,0.9693860291830095,0.8570394072153409,0.8390755960016005,0.7688653647991978,0.7875888728699283,0.791626157371577,0.6929418191997826,0.6691629436284655,0.6897998124404692,0.7116256177754625,0.5966426797996562,0.6402267743280814,0.744055829685906,0.7152181972123834,0.6633130558983884,0.723380279316225,0.8446388805302875,0.7298419384780429,0.782580139070156,0.8392742585724048,1.0552702337996314,1.0700187095254885,0.851734603639775,0.7287143154330782,0.7273946312608973,0.9808092813346379,0.8061200227307945,0.8172042429122197,0.7993785430453123,0.6389827694510275,0.5187849750426627,0.4720632735492614,0.43614282248982944,0.600505156635634,0.5521949918665134,0.9626335624534017,1.5544864448260614,0.8073603849821988,0.9722404559010133,1.19267302569728,0.8040151575868348,0.6419926270399801,1.600607886685174,1.8434758579084618,2.7973608140193904,3.823014483394806,4.598222617027957],[0.7004249719781916,0.4364376586852218,0.6196344963496344,0.45136833802883447,0.3944223293564205,0.39018018716272623,0.3035522558024113,0.4440125416340725,0.3159501283550022,0.32941769204604676,0.4084822829718709,0.5117256188409144,0.40837135484799686,0.3811720980032025,0.6029468180779419,0.5395474523247814,0.47282930833152953,0.5173709214013473,0.5241693748120896,0.49894186772840116,0.5162668286026002,0.552844994142152,0.6277990738653549,0.6724262455367565,0.5761588938371442,0.5266502319683167,0.4591703436862924,0.44619988452627235,0.464015250847882,0.5152421231064173,0.568858962486887,0.5966840488459453,0.6450969310472189,0.6215132116919149,0.5887184686572438,0.5339880881124993,0.5739726268722092,0.5005904366709918,0.4734060501416035,0.48730147882559416,0.5933701322283954,0.5348146956950661,0.537244805819345,0.6207732912653632,0.8548136498717159,1.317927516721783,1.1578990213894913,0.7774672186189091,1.0325790418694463,1.0143408391271458,0.9588128787910969,2.7924261357397957,1.768657157514793,1.0209224175582516,1.3482365647243972,0.6703601250016682,1.121981842284386,0.6022616735037715,1.057622800025218,0.8324478992105729,0.7419037843972816,1.1244122905401897,1.022706846944033,0.8443235385579252,0.5998633970332156,0.646263768402206,0.7829568557452514,0.6667537160736872,0.7329659916075603,0.6854056281883071,0.9407521228978739,1.334683514992389,0.9595661734705903,0.8792697715429747,0.6788043278340994,0.9909983844847502,0.6163935114555242,0.6354840633841717,0.5995490333762109,0.6141235785482434,0.7054822050867193,0.713235337919615,1.1887476182016854,0.728015364864734,0.5924689938865215,0.5874623043730647,0.5532671449075126,0.7086170805735929,0.5487938368992714,0.6596093230552059,0.6075382930505894,0.6948263805451333,0.6542232895588564,0.634354978730721,0.5922474870048874,0.639240565136735,0.7227008380933703,0.6300960119966942,0.629152810779167,0.9277452562424985,0.6910266676936094,0.8037729322678298,0.6619973296333224,0.716579314647957,0.7061050205701953,0.6696635187565833,0.9867245825937365,0.6404819300516004,0.6369078857046914,0.8045469169835784,0.5781529394549918,0.45803017750270875,0.3736081553040643,0.42073813825037715,0.39164534223832237,0.38915692034479643,0.43275636763532266,0.4372385122863992,0.5221713753945476,0.5407711477178062,0.4805285500368059,0.41486301128353026,0.3962536548489265,0.35626656319734346,0.33271889571687235,0.3372814026020929,0.398318070157878,0.4630763452019299,0.4771483087500433,0.5141244103205012,0.47576144960906236,0.570843666376247,0.487551001756955,0.6218019302087656,0.5403946290403087,0.5229421364963969,0.6784760452639685,0.5773052425980398,0.7141598396582579,0.4828557237695907,0.6656853017697136,0.5107869037588998,0.49125179900415467,0.45260644683800416,0.43486371842291893,0.4476720993140781,0.4047250607567669,0.46664068093326677,0.4535393659590286,0.43871451641706366,0.600471630955745,0.6378941247626024,1.2741914594402215,1.7094723536126226,1.2522815420321942,0.758990676171445,0.6185940444803897,0.6477372797223127,0.5780355622241321,0.6087581526931265,0.49644670523261203,0.49303746911465807,0.4578008592717602,0.49682943672542945,0.573074200706979,0.5951118544188991,0.558514203687975,0.6396344772019505,0.6816059588588083,0.7013482211467614,0.5615190027511218,0.5247094028247208,0.5620489978023762,0.5289878776453321,0.5367543978500107,0.5917870553969933,0.5905320411072558,0.8621412245537357,0.5967323752597661,0.6394863376688428,0.5653422330368266,0.5745268775528589,0.564006391859769,0.5602481461464167,0.547055262122305,0.710475698437179,0.7187425152509223,0.7728858738991266,1.8106633053228807,0.6162832121944674,1.0457004084334185,0.7706425063881742,0.6815681564234131,0.5996880722361705,0.5144698679453023,0.562053392946528,0.6667020077332476,0.5090120145716326,0.5256980974676855,0.5767234387742388,0.6048322931979411,0.6667782612113978,0.5638664106550685,0.6094404468848362,0.6592550263306838,0.6664505395141977,0.7334208228972091,0.7132506671914093,0.7496827917264042,0.7437058398621046,0.7683258065374713,0.7729674251405808,0.7922361962705333,0.8301570879935323,0.844828089033802,0.8313072179592109,0.9993003148776848,0.867201905649466,0.7572400715000366,0.7987996596153281,0.7908236571120899,2.3790579293750955,1.0424578274845289,1.7333675238041146,0.9899044666187072,0.867684509189443,0.8632209898368997,0.9746513359845227,0.7806983164379705,0.6562216067382667,0.8407222488304562,0.7594982712189362,0.7962392296131345,0.6640111915480054,0.9926132060808803,0.6319031468002496,0.7938802862047669,0.9345512667229311,0.6426995090325628,0.6576346066887154,0.7292656805408957,0.8212741614650302,0.9518409962525973,1.1398527599443455,1.094113487263294,0.8874730370505002,0.8620289416638018,1.0007644552305213,0.8962288186576951,0.7605533251138973,0.9228920593280834,0.9573651509000725,0.7887691020116889,0.8612549464616857,1.0138383806039177,0.9928236879173792,0.8937201390105352,0.9163753816805787,0.8378867680756246,0.8100609127362206,0.7677585115375523,0.7902281576653241,0.779623055606242,0.7229887947995902,0.7352196751420643,0.715806884186881,0.7373241899973373,0.6452484798664102,0.6847973276399778,0.7682160197282044,0.7545402811345331,0.6872424723259547,0.7797642818334806,0.8562813255758532,0.7562499922157544,0.808005486920865,0.8514952217222842,1.0667358982985324,1.0685336186014611,0.869236527756555,0.7771869702551543,0.7984508466606439,1.0150368606460862,0.8237327184843004,0.8126093028533686,0.7834274390789726,0.6900172474314517,0.5765345296768506,0.5252337672254895,0.4962460087046134,0.7052442706052741,0.5828345440209651,0.9486442687653011,1.5399737814136716,0.9089187710703066,1.0185565169045028,1.2594570380292387,0.8531133664145886,0.6723449478296247,1.552904215839705,1.997511464378512,3.2099973139403972,4.370556488127107,5.040743916141293],[0.677659167400164,0.46591955658903883,0.6083494025868769,0.43627018673385093,0.3502524219266379,0.37075210923536095,0.25883232920251964,0.39947737151296825,0.2658279389989232,0.2897991415082647,0.3722051536844484,0.47951855693725043,0.3661985037364958,0.34026469280866406,0.5434699845184184,0.47039708310113465,0.42233285726178327,0.4650843201062375,0.4742300069204178,0.4462736896136143,0.46251458060879375,0.4798445255527331,0.591404858200218,0.6359267775298996,0.5534260435570907,0.4874013745227798,0.41153645952678863,0.3973940717986163,0.4147387573321815,0.4462847383832756,0.4938884833124979,0.5195040738222813,0.5637859462099052,0.5286375106879991,0.49628191660712784,0.46732133006178034,0.5043728007370348,0.44572853229356335,0.41215555890287114,0.4274903223177777,0.5568620587584543,0.4780293136125094,0.47661408496976765,0.5723001843320409,0.857961382687286,1.319878296421811,1.1808944702743571,0.748795768228826,1.0250184573253325,1.021296753081743,0.8957721603210196,2.7360501031451814,1.6798344357156318,0.9490547686985731,1.3828786291038069,0.6053784467079931,1.0270234100537285,0.5332091266328184,1.0601627076674298,0.8073782432226578,0.6779358856707004,1.053293827264373,0.9604962077518948,0.7420224974905567,0.525320360169063,0.5913552787073441,0.7456743642543724,0.6078095352901265,0.7061180056576001,0.6413658730205084,0.9254091428530112,1.279213867059679,0.9122582694620097,0.8415528312944588,0.6033312541117455,0.9385400819627586,0.5476131832591523,0.5570487674796079,0.5174513197323708,0.5212213169653523,0.610992347152225,0.6366580497738725,1.137242082952632,0.6430679796376544,0.5535549239697096,0.5181433404286194,0.4884107020521036,0.6374055639341352,0.47060557497997596,0.571250143037866,0.5300328367901262,0.632001111163951,0.5649309953042482,0.5428704230674247,0.5155833015257891,0.570701072157883,0.6521138174911253,0.5525906771379041,0.5416523560640613,0.8511529797368756,0.6055597091501861,0.6997981050340977,0.5564447923381065,0.6333011000517952,0.6368482489628773,0.6108975996197794,0.902644324443379,0.5705193538421035,0.5896444287832197,0.7867192698141731,0.5378418913299506,0.3981692982388348,0.32110060863010875,0.38050707012966867,0.35278575288245706,0.3518274734491438,0.3953939448144116,0.3941465495130716,0.4750207085016622,0.5028231757163075,0.4397066388586688,0.37290859925822245,0.3602907343764589,0.3224888932006956,0.299546360027865,0.29789595428308824,0.38489194700986157,0.42984325750229796,0.43082819948586976,0.43855623972714475,0.4130633326482125,0.49004944049839405,0.42090208496738246,0.5561205850591183,0.4848819771051323,0.47840591284050027,0.6550993299382377,0.543145045886354,0.6914152641877513,0.4461458804997735,0.6396154435909303,0.487686665890121,0.4597140923775916,0.42382572759408305,0.3926192682601014,0.4042908807547643,0.3629821884718413,0.4395828583410901,0.4039728181279605,0.3995485418776808,0.5571215224655759,0.6149983472107414,1.1496041191290323,1.5887202748454101,1.3476933583297217,0.6668928869906432,0.5377969996043664,0.5760731769166297,0.5039445952593132,0.5395996408210924,0.4350562555227344,0.4459351553875238,0.41670767567987455,0.43953095486327626,0.5259944762134383,0.5787576669411703,0.5217455707814995,0.6245387991451903,0.664591800915708,0.6809505326084426,0.5337745747386289,0.49050899313559887,0.5182539195805247,0.4753911018401586,0.47332832355957666,0.5369334297374301,0.531523135059253,0.7991418275097688,0.5315311143219345,0.5798720271679718,0.5144992695739393,0.5040808361551695,0.49773288476633365,0.5005489560505868,0.49068806362978556,0.6586331144036197,0.6967478926863663,0.7492052795352455,1.8254548752733473,0.6085778997832176,1.0243473730435722,0.7690812155973779,0.6478072262278392,0.5611601042211314,0.4670742325260486,0.5044601753104921,0.6236534180568265,0.458799450309987,0.48728249457607914,0.5363071035197914,0.523788672631457,0.5749712975012291,0.5055470904535512,0.5510812716952611,0.5740444174391381,0.594243023802592,0.6984845203051108,0.6503316806067478,0.6677244661921975,0.6834511401487364,0.7139790389488891,0.7009218494149538,0.7278526247397431,0.7831355239702539,0.7955069483426892,0.7965870148799389,0.9433095664863694,0.805710549311948,0.7074091861231026,0.7024333207789746,0.6821159239522903,2.280010332265213,0.9484645970054432,1.6700678160716542,0.9344626598912761,0.7658782498406748,0.7571273500921121,0.8483994715376141,0.6758119346109802,0.5566592808994847,0.7225642828674256,0.6732027765438856,0.7432484460880715,0.5903685170479505,0.9626747859018129,0.6123850568543053,0.7718421015108582,0.9364664028152037,0.5922926149515607,0.5808169965003022,0.630875087888822,0.7216999209700149,0.8663509408111894,1.0039640168631472,0.9933403434638864,0.7755573047886963,0.7220512606175162,0.860651386022057,0.771060871165949,0.6429481922625999,0.8117490014456049,0.8725031812869751,0.7092007148600388,0.7609398958786161,0.9360949276093299,0.9380325294602804,0.811575371373515,0.8093864412865349,0.7255205063375151,0.6994808777592283,0.6546184205743063,0.684622353354393,0.6844352010220138,0.6411450774126332,0.6379935570208212,0.6257616139315907,0.6619516347897084,0.5874826395783002,0.6133574170644717,0.7206653921430232,0.7135051973569041,0.6530710253213804,0.727928869930078,0.8153605858249598,0.746131765994679,0.7803821190610756,0.8522721961494237,1.10730618154524,1.0244856029604574,0.8573157068057434,0.743427458456546,0.7669974178333868,1.0119386083097404,0.8120458708469152,0.8005125055582915,0.7684896873206679,0.6369523496135754,0.5371136482652488,0.4866759489026786,0.46791177922499766,0.6292703188138715,0.4864939939650563,0.818181408358273,1.5969546665322538,0.8541108992356559,0.8990019113020603,1.2000625761513255,0.8221723564203234,0.5980740345057045,1.2937359739885324,1.8774844531554635,3.49056326543633,4.531023648129439,4.983350157972629],[0.7249760440852243,0.49866518417737205,0.6389871866713123,0.4133541923955388,0.36106503225801767,0.36886685411218273,0.30390645553403195,0.4913828677500757,0.30126730161624965,0.3113576007485434,0.3419178698682055,0.46492715865190565,0.38484297030704345,0.31869121344303797,0.48940734512966005,0.44169771259871793,0.40476584990617703,0.4337096741645821,0.41349314766241774,0.4260702265961986,0.4185277874962199,0.45329172886710795,0.5285029555137594,0.5803551150244186,0.557006060265504,0.4475847502577519,0.40511485740722536,0.39324298138010066,0.4219775753911641,0.445579340358212,0.4548037754163342,0.5215934906796229,0.519018363315247,0.5046101509925882,0.48843982204891434,0.466952324157409,0.5062390084432153,0.47704254647341665,0.4734881039662389,0.4983069361235295,0.6296975189155495,0.5183970392594314,0.49652605910863806,0.6421444259186784,0.9642414860062559,1.4309876782996211,1.2544261303031623,0.7891767386930195,1.0135663176414451,1.0474760241357033,0.8930000254859933,2.530639512840806,1.582018136767157,0.849562521794444,1.5575848878889904,0.6715684260945676,0.8972052268868633,0.6432408292860885,1.2608648840077552,0.8161362002126961,0.6840181078083364,1.0383094352604911,0.8778376291863444,0.609350217462204,0.48850597173741883,0.5455261942546519,0.6748955272230449,0.5465729620879516,0.6480783445917451,0.595486747577138,0.8914800064425471,1.1913728509552808,0.8362320535342946,0.767301597311267,0.5567319762449727,0.8596399771995485,0.5174747215215652,0.5228096195587434,0.5016687729394169,0.5504366192009298,0.6259668681650578,0.6358689242775493,1.1063315518669505,0.6378636529148329,0.5973579515733141,0.553023695125456,0.5122354838838722,0.6324669795246035,0.4514547160224757,0.5410618289925717,0.5004985546288294,0.5900556436797494,0.5132167403605197,0.5007958569198345,0.4753157533262564,0.5340437250354133,0.6058862573110819,0.5120481333511834,0.5047241092660981,0.7729085212279155,0.5646474242919827,0.7104879603361653,0.5802836821177652,0.658264984802993,0.6793266072120241,0.6968690142530213,0.9871982621088888,0.6942629125576311,0.7092691280994144,0.8351277437791366,0.7016468426184834,0.5068892897471449,0.419528108726586,0.4263745010830558,0.34218651354653384,0.3306026509640684,0.4430190163588201,0.36783085142398686,0.39503298679880466,0.45675975187514495,0.40727271398976655,0.3586914790238991,0.3051335890931627,0.2860189396831959,0.26324242388891655,0.3334426204717324,0.4773712055800644,0.4932071853091673,0.5500199226391036,0.5340297041329709,0.5215554195221483,0.5825213665976403,0.5208248279667159,0.642295188772353,0.566514762793638,0.5667322739152235,0.7387306439192419,0.6170442887266742,0.7367948549965436,0.49572134903341897,0.677726526679237,0.48392716731042595,0.40646391444850216,0.4797022259768593,0.44683645238138037,0.43981107028155514,0.4212223400128211,0.4823317642468394,0.46637138193167765,0.46469749883718575,0.6278019648039734,0.5817431106507913,1.0796176446616101,1.290683135711263,1.1345987943447786,0.6000926387938096,0.5400370021387961,0.6045744001005163,0.5238877063529168,0.6055905851171742,0.515134139054131,0.5051973340353166,0.49168443733468786,0.5489382478218006,0.6515141444970693,0.6640836620824128,0.6208964282548588,0.7201314094844872,0.7616243412788235,0.7723526952492831,0.6279798546077552,0.5698012483518863,0.6243913658240955,0.5676523642185476,0.5413296469617456,0.5862343941095476,0.5424792890121979,0.8191836105188904,0.5639560413247676,0.6414010085010408,0.6024101138106106,0.5794354081342437,0.5820104475285679,0.6007843327799471,0.6061547586293125,0.7569229941660132,0.8005379066329119,0.760610234954936,1.9985219831257448,0.6676771429601368,1.1186727061366848,0.7301534103071479,0.6858312047946679,0.6331819573512484,0.5528919639411451,0.6248286514673322,0.7194694023620822,0.5739151950158314,0.5955977920099277,0.636426506676411,0.6017892739351121,0.627284606237286,0.5863475478650514,0.6192587888465392,0.6122010962408485,0.6241463119815175,0.740580900067351,0.6675001133878545,0.6473426395755074,0.6732589570670161,0.7014529209647737,0.6666555787787818,0.6858569906178718,0.7624299863861931,0.7592437144366463,0.7765606758178232,0.9183536864366083,0.7932123017960957,0.6949443205028897,0.6777341964799916,0.6632814523615255,2.244059189010982,0.9297332005699495,1.684885767216782,0.9031359096821893,0.7684191320277785,0.7938499612405767,0.8731693587043666,0.7387487851211088,0.613584099386304,0.7560831306527245,0.6992054800482957,0.7760567083121592,0.6580849036079625,0.999586464229105,0.6894073955884649,0.8634028380960205,1.029879837307753,0.6993533330508734,0.6590488381621282,0.6647648512137722,0.7302997792434266,0.8611890911935677,0.9579387337332698,0.9556973147626394,0.7827023068928372,0.6963031558809584,0.8339428506759442,0.7686219101287798,0.644841681848064,0.7801033668103313,0.8466524298160827,0.6795399927005586,0.7151403411845151,0.8685782158568428,0.8869020889588952,0.750549188077073,0.7364824705226702,0.6769930247544047,0.6628345613376847,0.6346552208347355,0.6649963340382309,0.6592091335279656,0.6363431342445077,0.651395013649444,0.6331725340593124,0.6649095920467815,0.631114290012532,0.6501202934222793,0.7295699053462404,0.7365187338023161,0.7184176316134429,0.7651294588559308,0.8230830735019684,0.7567998987630845,0.8030654069613211,0.8637745170221772,1.118463173476759,1.0078773595220107,0.8472075070662726,0.7536084167759214,0.7832731892185428,1.007374091449759,0.8372030471171853,0.8195439168253355,0.8144750707964957,0.7013332538817246,0.612059758866282,0.6004694460347074,0.5745153072394531,0.6691831528124261,0.5261104701582385,0.8069555958451762,1.519464224325232,0.8767537262765441,0.8755169465290582,1.1059475448236482,0.8953500198944429,0.5555575470612333,1.1776831575557067,1.7359980744518084,3.456927564192104,3.7803675733254147,4.157353565446706],[0.674515772310413,0.4376092844057048,0.44747855799582487,0.4162290020977239,0.29032747553123395,0.26292742840006417,0.16953570683496744,0.3180738709759004,0.2515795887455062,0.27777006325676834,0.3010176374032497,0.4103472754070217,0.3272394377205786,0.28628156082714434,0.3882917958901062,0.3767743225736548,0.3500044093313729,0.3669873997664862,0.3677051937975409,0.37161292592757256,0.36005828855151256,0.38755438039951434,0.5335316286619759,0.5644825675902021,0.5465120505057979,0.4205732753259648,0.3511035929301768,0.322875020803172,0.34782835516358857,0.36916087241075035,0.40480105423497614,0.44730571087650484,0.45083566082040694,0.4278359171291441,0.4048163200889948,0.3897759731675226,0.407783084277921,0.3815645309190178,0.3628685522285267,0.38181879115739203,0.5639395968092883,0.4685617759167788,0.432253784165372,0.6023320808337689,1.003947376855748,1.4445849435326588,1.3027213641805204,0.7825590990483762,0.9964047596975967,1.0787362793168507,0.860708789316146,2.4872062926584992,1.4951328505325516,0.7882947866632591,1.5970125307203857,0.5955980537662452,0.7899421554597497,0.685333655448502,1.27073445555037,0.7765231450427382,0.595306939497714,0.9305399629314146,0.779333004923896,0.5058707339370461,0.42394699336840963,0.48550891103522636,0.6005588349515217,0.4533897395161455,0.5836026456569433,0.5169372054001803,0.8245241807572399,1.0933854866332315,0.755358882126971,0.7174577831757183,0.5355824250830723,0.8572556247180066,0.4419395755236787,0.4445818493438966,0.4209870836676498,0.45945387485123895,0.5141219632067451,0.5364238442997216,1.0276568142593967,0.4882506538319162,0.4744731063675597,0.4180179882710277,0.4113494247906195,0.5417888231015818,0.3773528384740907,0.4912564348990801,0.42474723396713304,0.5772297232851901,0.472957739493976,0.42533977377161086,0.412163725556683,0.4697168271881593,0.5330358845062982,0.44668565674475674,0.41869722247672453,0.670013452962291,0.4830380447520369,0.5809499117515716,0.4139619273707944,0.48842919879000113,0.4879734460802852,0.5003827777460375,0.7561644551804249,0.4486655843269016,0.45852470559972347,0.651295125648742,0.4503889992995998,0.3238022750407565,0.24705087324507474,0.31518387526411973,0.28088496181890976,0.27828438024283325,0.396227840524559,0.3281102312503715,0.37937176895950586,0.3906521483770398,0.37440288396592,0.31859957976353215,0.2756839860486248,0.23625260986420096,0.20863954713041824,0.2460712628220662,0.3492601417457012,0.3304195176472505,0.3185159998472325,0.3228541598436492,0.3247477327610621,0.39240276018245934,0.32067243963394804,0.4541001688541995,0.3982274546978294,0.4078925385251752,0.6188958580228184,0.5072379299843021,0.6583572131860616,0.40376629970255995,0.6327943335420977,0.4530051653309226,0.3786616936962934,0.39916164214046485,0.3635197958826932,0.35004333239917296,0.31868478946381895,0.36545923827852966,0.3209712289462342,0.34612073760485745,0.4581765355194277,0.4747743049103633,0.9042020109353485,1.2139333998241189,1.1661359681189594,0.487458979652344,0.416248937826598,0.4325379322337571,0.39714969132431954,0.4417386272889003,0.3482528645378243,0.36584608100450694,0.36298598240429286,0.3899606330819693,0.49146466178319476,0.5714026409912426,0.49290159164080377,0.6303177100611685,0.6612493467467493,0.6842661387556005,0.5015881476732499,0.44342753242491256,0.4606603425618522,0.4108452290458365,0.3782970731053911,0.42154047428395164,0.42559124886872407,0.6745014436835667,0.4146687101248544,0.4525632661769048,0.4510526575313866,0.3923233381102782,0.3832157226635784,0.40968380626672674,0.43632919612493054,0.62291866113289,0.7199934977466238,0.7011831080470609,1.9547530167112588,0.6013251024512446,0.9800458987213575,0.6854072161531989,0.5989098344737657,0.5225937177981099,0.3956071775617772,0.44206845681624746,0.5404013346399867,0.3517065166451676,0.3851123234388174,0.4471627027917404,0.3685995871448503,0.42164353482065725,0.3623458193446222,0.39096982022717364,0.4156526848982018,0.4420456743063434,0.54216213552649,0.4833689234225906,0.5172654861843609,0.5132891394359917,0.534342215193007,0.5449960665205927,0.5948761049816765,0.5875165318719879,0.6220308243583823,0.6511747498210543,0.8134374623468948,0.6512674574328748,0.5350633607296027,0.5315061823302094,0.5225313473447237,2.1275387294534993,0.8514421603705532,1.5510370874474935,0.9244918910832582,0.6567875922432189,0.6578452382224983,0.7139091251120833,0.5729122180952281,0.41190702740691276,0.5882178237756877,0.574003704037217,0.6669744441129389,0.49521027310865434,0.8779932200825472,0.5732945979718203,0.6889218413149975,0.8937900988922174,0.48982774998102147,0.46486131696121097,0.5086640824746851,0.5906917447577005,0.777977110154202,0.8506886604562115,0.8925068032667494,0.6748241079566947,0.5963950608112434,0.7693082195783242,0.6945436758335735,0.5337290267743631,0.6831851770363886,0.7780230303050208,0.5814403677312008,0.6152635436486855,0.7812741632132915,0.8456819758525078,0.6764752948064288,0.6526645369359299,0.5816707931461645,0.5416097565516101,0.5054522911690393,0.5439497040227823,0.5109456123297763,0.4789497503017815,0.49800065933749404,0.4649252483709146,0.5196161485547729,0.44086443913245815,0.46789974487610553,0.6110837309318585,0.5888343760844579,0.5469638551743,0.617505282871893,0.7417046199069186,0.6778781453396772,0.69196874189531,0.7838495473863577,1.0711875042084569,0.8691370813655455,0.7115799336419748,0.610416800765621,0.5921920434013814,0.86922287344727,0.6948674722917835,0.6974952505360448,0.7011439637500738,0.5213415743976477,0.44637056006145653,0.3849846363435872,0.37747942440483856,0.5056567837927842,0.4582673328237722,0.7315121684711587,1.6839800527258098,0.538144199282062,0.7045940402276502,0.9876829842474015,0.6337461224397221,0.47507504874609235,0.972813111570298,1.4968723391293428,3.278878250008006,3.5009696519426163,3.8227710179178627],[0.5180144628484973,0.3560169331423035,0.38747087336317365,0.35425885815836217,0.27735658524494605,0.21308544674563473,0.16383311562356656,0.23642502883943314,0.3020007382936218,0.25109568359235096,0.25498677586909746,0.36431359266439417,0.2813048612152366,0.27233698844603416,0.3246764510706916,0.3292578405867553,0.3275578986713315,0.3314200957270663,0.3521765455138014,0.3571003361513874,0.35279240364281084,0.39336549847855484,0.5572936424578795,0.5671493094097895,0.5743503401281086,0.42979726656158146,0.3344880330501278,0.29582405634508774,0.31181698428187266,0.3278603208030057,0.34411708497421567,0.37073949655934385,0.379182952434987,0.35772956522612537,0.3387601471730806,0.3395926620849192,0.35191429634457205,0.3530464739705785,0.3099605461064163,0.33778347508339446,0.5323909578899784,0.4709934901473813,0.4233243578036663,0.6119050901918648,1.0658861560071242,1.4702025667148946,1.3858580763807284,0.8271970080420444,1.0013494764175475,1.1201969065380641,0.8617960819432049,2.4276081154217586,1.4123290167975138,0.7593368398389818,1.6500410090007565,0.5540951694692947,0.7184570212641199,0.7662141186511321,1.2584100946858243,0.792731721417792,0.5602260116121696,0.8217762251118302,0.7011155659540003,0.4596729532236811,0.42239855517001806,0.46153286363865925,0.580365093163712,0.3981682761732099,0.5481034356821011,0.4661451415155818,0.7812391202901443,1.0207000804173607,0.700359333716526,0.6955237600696899,0.4857579210884,0.8299171970798974,0.3801583369579965,0.36874823236521026,0.3623023762907703,0.4150955433192007,0.4469394759674792,0.4736220323991623,0.9541651245136933,0.40783303844567154,0.47365090934191495,0.3588033599167131,0.35553858044781755,0.5133705934527932,0.3390343947196576,0.4313655878553425,0.3656358244183432,0.5571359670110801,0.4361567207649713,0.35978022788110386,0.3490155150150553,0.4212129197169318,0.47645830782174736,0.3872889550146811,0.34286733021837057,0.5891285000695359,0.3782135090197296,0.5158412590612307,0.3225210447627127,0.38494033192052873,0.40888736240529466,0.4149134165219779,0.608633861149106,0.39927311391217546,0.3817202620608806,0.5979549927179302,0.34108232127531773,0.2946594610543075,0.22649813687116654,0.2961367043175843,0.2713821364862269,0.27972250297096585,0.3696410457671016,0.31255740569784074,0.39725001883448546,0.3830769180109526,0.36935312896274836,0.32048379038904684,0.27602716349375317,0.23477605744385166,0.21419786208623537,0.25067343752226334,0.3091211721731698,0.29344917988321584,0.28183157699211386,0.31154099903066984,0.3231169783482379,0.3742616594724218,0.3004181450630026,0.3990623904765417,0.35069521638718876,0.35317826865884183,0.5667956826637425,0.45709410326217165,0.6118521538194744,0.3676563586938616,0.6173745469082338,0.475726465428472,0.3890204834087957,0.39782735903503785,0.3429148567699039,0.3221466283584368,0.29577132488982755,0.3244323777808559,0.2687112415558109,0.2957732189280062,0.37487387271541034,0.3889950463251297,0.7301437866320157,1.137081089530604,1.199188509830388,0.41793224407129614,0.3205421330944247,0.31735809914704993,0.2998628587185298,0.3592343732606243,0.3113043806433083,0.3234941396291574,0.31365016051409134,0.34679744947238644,0.40424548549312445,0.5474245353356985,0.4629357142339864,0.6249903791766755,0.6341623900732517,0.6554947408885308,0.46774572437640194,0.3939398350454992,0.39659616097147554,0.35265069654903364,0.318977313645948,0.3405506195528259,0.35773892621812003,0.5799531613812257,0.36743343043915105,0.3778092153392238,0.4018456626636566,0.32940305656605046,0.3279841247474562,0.37562355431914796,0.4034762541372759,0.6077920211503075,0.7103731458310152,0.7246796062355823,1.9301254770376641,0.6642492294370214,0.9543497302451168,0.7245019374803039,0.6026004296509301,0.5278019721809268,0.3950463505771973,0.42057658944313936,0.504254447398797,0.364150019629201,0.3751174322025755,0.4490418982035553,0.3178285368584336,0.37845265259492267,0.32428754430131157,0.32269388389438763,0.354732885143794,0.39582941703119373,0.46055698588537414,0.40865707372743654,0.4664394457635988,0.46677991685746645,0.47897680896161365,0.5028177442940762,0.5815804570115497,0.5542690321483341,0.5944200915250014,0.6281416927750852,0.7778463727686066,0.5930361512045023,0.47929672372285587,0.47401471000872275,0.4811371980918492,1.9946439276382655,0.817197430344441,1.4595509063047407,0.9726326421738316,0.6422454982003017,0.6274725667968791,0.6408788799715849,0.5395867294339916,0.37186956942570415,0.5333317588737588,0.5727946250849101,0.6387722249223613,0.46801521874846425,0.8706199801167027,0.6098488318929165,0.6658643896768431,0.8860303240342133,0.44193720948510445,0.45730228123201494,0.504084203211143,0.5667740343563478,0.7838406079523107,0.788083505954796,0.9032891638521267,0.6623301341894448,0.5611094072539156,0.7445171152116187,0.688447938218407,0.49003988392625275,0.6375511208680555,0.749088170113099,0.5534262485161713,0.5697085693193054,0.7401374301748316,0.8453272064104485,0.6406686147190994,0.6047802064008478,0.5400679181156446,0.48794657490912646,0.4496935416580619,0.5062081582735555,0.44235612921123574,0.4232215868646358,0.43670850259110044,0.41194534910440866,0.47906045673999986,0.3812646778705261,0.4142752894835544,0.5781174086310794,0.5449863381093055,0.5106216013949578,0.5637893680473534,0.7473437909888763,0.6771931228546475,0.6505168173786854,0.7945764160683011,1.0965147602257965,0.8112471344572721,0.6768517502737136,0.5678905853280125,0.5283545159589785,0.8389388623161138,0.6238761750249695,0.6459798787404015,0.6821211623338197,0.46772759234220357,0.39889410994409585,0.348614180729417,0.3543206938579771,0.4341628266555398,0.47421578710664175,0.6495660076831918,1.7174356849987784,0.4544350850959362,0.5740778218890643,0.8756600871508262,0.5810806258787495,0.4205777655012906,0.7170051495730099,1.2935548808301487,3.1385862638028796,3.3896596583997343,3.6759543006251816],[0.37830893648100666,0.3335881983854692,0.36063328252072263,0.26861112046960245,0.33019499121425977,0.21001315331975237,0.22765562441726225,0.23904159611471562,0.30784752827432255,0.26068770450780776,0.27469219165162656,0.3620597956189861,0.28863427603655567,0.27225870416584674,0.32373434758816383,0.32602352164006587,0.31403449552432977,0.3226815271504611,0.3692852858501252,0.36385084090938347,0.37216584583783346,0.4045632538790771,0.5803104222839015,0.5960738915698882,0.6215046580592017,0.44572314301626775,0.347237680132216,0.2883034670816537,0.2973659696042647,0.31624882243568175,0.34834273900500184,0.35929171314439196,0.3765872660719156,0.34936914852117457,0.33445717541710523,0.3362453237286388,0.33903220161904196,0.34890980138816025,0.3049050826523958,0.35524026253320085,0.544502483014305,0.4706022787865947,0.42688083685837763,0.654778376368772,1.1285615818355241,1.532203005878181,1.5038616784207568,0.8789058778787385,1.0186442451727944,1.1976355879698624,0.9323454037130097,2.3358412226794663,1.3917846176420874,0.7834788193510531,1.740478220589996,0.6135300852056896,0.6988218735922519,0.8958955418160843,1.2996100432182713,0.8150998243230416,0.5381777054672562,0.7536965557655191,0.6791586907753551,0.4668258018314909,0.4194111275126711,0.449302165505637,0.5721214043933797,0.38430350748780956,0.5362834760399227,0.44580156345467775,0.7839791791550679,1.0142724632140976,0.6866031416845111,0.7119601277059326,0.4678004170690598,0.8449211094135897,0.37117243352883617,0.3603828292308844,0.35435453180355225,0.4107727683895264,0.4475960728860313,0.4818833977327231,0.9346193121657557,0.4147042005620012,0.46902272447854104,0.36516197554678814,0.34851584029149363,0.4800926396812773,0.34347085288186957,0.42455243923549885,0.3557457436551215,0.5846238863952578,0.4481174166330982,0.3537362892603672,0.34231008163316645,0.4330582356193534,0.4714016232810552,0.3791593764294364,0.3378418623137834,0.5888316117427982,0.38898914556568864,0.5376803369052674,0.3226617434675263,0.435226692488972,0.47387970747042574,0.4497716974762444,0.6563221724645912,0.4372206648087343,0.4138066615527539,0.5528879375179455,0.42221901946766865,0.3259006603527165,0.25206188134401375,0.29534308943435755,0.25864580338441906,0.2808602463271859,0.3742609412956261,0.31947049009048484,0.4472948340745898,0.375034474456617,0.36507167022126025,0.320307203734265,0.31482041892524326,0.2540605810807094,0.24424842884887257,0.31870507080215554,0.40724379024217744,0.3086196451728014,0.3135767802830037,0.3438319992516963,0.3547230552670581,0.42200259551094815,0.36331499056971844,0.433692583770466,0.3898372183123755,0.388057049981151,0.6142121725478448,0.45711519578738735,0.5438855777800313,0.3697303989150313,0.6254708467635077,0.556367141815083,0.39804003659758874,0.3810157058046238,0.35991444446235754,0.30821285310035174,0.294641238107219,0.30344554115826033,0.27227654016225983,0.31397193408504415,0.40283394861902455,0.38548042903918683,0.781625747145459,1.1615907359294537,1.1411748504010564,0.42219264385410205,0.32365485059767607,0.34611352787179533,0.3086162558026316,0.37461547606577406,0.31499616028145716,0.31202615440685494,0.3200689933557647,0.34631930845863645,0.43367826507383406,0.5859625058112117,0.5030245041640582,0.7000142174313996,0.7109520237274067,0.7224863223631066,0.512194257718526,0.4203358096243223,0.42306100825753906,0.37559378370966934,0.32010572277940236,0.35461536601910576,0.36253829638609103,0.5821039572601324,0.368833660980992,0.3867798970757498,0.41136417847209383,0.36912411085146424,0.3841723529845388,0.4374481934521473,0.4375977427674481,0.5711075705164781,0.7129448110968176,0.7360626986016339,1.9608190789149065,0.7069293921264709,0.9058393611447219,0.718025152138838,0.640615709902772,0.5956677991159259,0.45820526292368224,0.4714612355354755,0.5019373050153321,0.38752265252892143,0.39032743995704144,0.48232895516659835,0.32368833139962977,0.374002742383962,0.3328780679495823,0.32736922770941507,0.338539637194102,0.38225854350679195,0.4565823759969415,0.3989565395574306,0.4571991673012381,0.4622315383270984,0.4765572150159753,0.5006330495201596,0.5847116840750964,0.5587240751147264,0.6271057807892415,0.6728348940910172,0.7784898235935322,0.6284383488554101,0.4788459207273798,0.4612167557082057,0.48824506731340767,1.8499538115556373,0.8490348254051178,1.4384107652586993,0.9015781356081267,0.5740616986442088,0.6357501674660827,0.5974333048660981,0.5965320152889168,0.3761239644406988,0.5213661340341459,0.5702462261523025,0.700014724556724,0.5183425583627768,0.8277875751302578,0.7044733924525731,0.7058398004788612,0.9052342378576058,0.4747402998674146,0.4694022909264143,0.46757503672586204,0.5238496248038019,0.7289470860176694,0.7622967130679226,0.8207769539181308,0.6263726871736452,0.5298232350823874,0.6737562360833775,0.663465256570039,0.4887279155122323,0.6323108423816494,0.7628622264966983,0.566663323225748,0.5717762167908492,0.7342487651246438,0.8718696852253159,0.6223484424443626,0.5948851454944868,0.528244451535821,0.49429067622072553,0.44840468248088955,0.4685450082536554,0.4437647538605093,0.41359832002866576,0.42474399760501036,0.39782685386066313,0.45508794049115,0.37084864287584035,0.41580832877882634,0.6138605954339418,0.5503455204477153,0.578766941176337,0.5915381995751904,0.8154284549383689,0.7022192833890589,0.6675201301699049,0.780315154652744,1.0483497774532682,0.8689305929470286,0.6947050180129789,0.5851597728954852,0.5027116095862417,0.8247974495238396,0.634281778712626,0.7033971779821616,0.7257153789503857,0.5301217321859681,0.4417605633722073,0.3731032287568491,0.37867427931023145,0.3852073348475072,0.5471364519172399,0.578320317410518,1.5174381126163716,0.45294387383704326,0.43683172151720423,0.5514164467590208,0.4040026452061573,0.4024139542203356,0.616488910102584,0.7175843826681549,2.083103297205273,1.9663523015210813,2.3265291929816305],[0.4413003290480338,0.5181144614507472,0.5019090635222503,0.519393687526579,0.7355418065729304,0.3533986553726366,0.24840783738829791,0.28778341312986366,0.463783323240205,0.47111952650814454,0.5017240150118923,0.512552391206767,0.444534798610049,0.5196442280865807,0.5400975115755985,0.5231122772137582,0.49635247945562616,0.5049473505321523,0.5605191641807072,0.49578192585263403,0.5251322000810517,0.5167778256952187,0.7468970733071504,0.6921520351968309,0.734323981077317,0.5504904315189305,0.4377286972227397,0.4011274997239584,0.4512020754994088,0.4441238958638697,0.5297840291968879,0.4808707231465452,0.490365413112795,0.5121506957565375,0.4557065370300764,0.48133279142736907,0.4449718685207648,0.4338797434216986,0.3572497834908463,0.3898572326981856,0.5496999420294678,0.5235525936432058,0.49917847664868625,0.7164077443421712,1.2025065172738878,1.5585456996883034,1.626275293488721,0.9388555535554743,1.0152900746461648,1.252749394820515,0.965814924228898,2.243832908299471,1.3013935282653015,0.8448302485414049,1.8178004569040513,0.6209595048746164,0.6902818882504376,1.0209818087686227,1.2486259902872392,0.8946917037867282,0.6126937570707105,0.7354935100411691,0.7405951022977199,0.6505055310203302,0.554836796643254,0.6132291228949824,0.697814583385246,0.5661309519517007,0.699727471257728,0.6781022203377416,0.9557084315039802,1.1373449687424548,0.8565969175970588,0.9304177651834592,0.6547098243173147,0.8944955690942266,0.5478653208379763,0.506108210463037,0.4977311876824556,0.49076684356282824,0.4544871473756695,0.4935273064990381,0.9023163450141257,0.4409444554025295,0.5079603998381903,0.39581876822085343,0.4100008487420815,0.5565031995322327,0.4698827208391404,0.5450498574428062,0.5378786646338509,0.7535525365645737,0.6523133143911545,0.5642604245662542,0.5644245880983276,0.6766081380953031,0.7374422469668332,0.5486521600366937,0.4845073192703016,0.6462020478256548,0.4330418664994549,0.5089476592759052,0.377900777405706,0.40510846107122134,0.4855177194355694,0.44244879044966384,0.5666373092020057,0.5369549651712747,0.4726120581907576,0.5688286105015078,0.402421654468965,0.33440060151088746,0.27817631634132595,0.3217128487130674,0.3871400202993498,0.38606817810280114,0.4503939235610244,0.43597750425463344,0.5991789886288102,0.5117740990855633,0.5512715258889608,0.5257353417152663,0.4864248037067289,0.41293492964587003,0.3909077399641616,0.3205019844753362,0.429451996194267,0.3433436388249722,0.40834995813446623,0.4324144122298226,0.4888823629907093,0.49972752328841885,0.45241931836630134,0.4525119863620643,0.4257458674875851,0.3982586541093889,0.6193209491136249,0.4444168878983696,0.4497569556334762,0.3840347033809698,0.6708214875507829,0.7038065728280806,0.48342446847127185,0.38855524501562894,0.402504043370383,0.37280379722082585,0.352734556578926,0.40640188003848365,0.31859506973911783,0.3588104707540005,0.3913328342520053,0.4037365398305487,0.6723272283772114,1.1294219129741925,1.2132314723254818,0.46871968244383266,0.3992968468455076,0.3375879390115156,0.3653844361295036,0.370994601378927,0.37542860479273604,0.3684378570342011,0.34472346506006046,0.391835758414123,0.40367671607938416,0.6037304039276226,0.5483698045989123,0.7735572321257012,0.7524792145188776,0.7389474412329406,0.5470135273182288,0.42047851483383886,0.41634745084088676,0.3697321327763431,0.3304822266777705,0.3666284554707176,0.3910475746026551,0.5108659335937181,0.3896075823728099,0.3819592448529622,0.433644900664617,0.37477213006583393,0.4125407822553589,0.4896547095432476,0.4799934090845427,0.5864103971880588,0.710672798677308,0.7916080027081768,1.918568764900202,0.8355682171324116,0.9613894038971333,0.8196815153768373,0.7666032539686101,0.7208812687289166,0.5817770981531318,0.6329329272076776,0.6192974463320586,0.6101185204030248,0.6355818912182623,0.6505315536862096,0.5657477380298802,0.535085967748263,0.520259007159256,0.5791232631352472,0.5416122103593327,0.5523625700179201,0.6582969841393014,0.6238310470484824,0.5999753461452239,0.6416369765471878,0.6781023258484394,0.6746958611543075,0.7093730512522175,0.7511003919679053,0.8294341892776927,0.9550916388618277,0.8923684547333894,0.8858787672189545,0.7133539647451788,0.6816420180901065,0.7001436290785703,1.7180408307657773,0.984044828227909,1.3998738120161744,0.838152409581227,0.6707051724135883,0.8150892628819291,0.8012900269372613,0.9193338700983036,0.7270414064626687,0.6372815959182593,0.7358169560039396,0.8122458857481248,0.7171579868517604,1.09294411928059,1.0628285218868059,0.9856852750765756,1.1745459562670313,0.7290892944778491,0.6277179972996554,0.6089870319668345,0.6541274320824009,0.8181872667054421,0.7804036406517234,0.8719620026621752,0.7019594763704483,0.6330700607090655,0.6970542542732717,0.6854903259642171,0.5809211185885724,0.6681462209800361,0.7894657126370623,0.6554766542141234,0.6544680190866705,0.7676881967997334,0.9266698541763713,0.718355126576203,0.689924736598181,0.65711812641572,0.6379593777770795,0.5866328158722615,0.5900517179654838,0.6493852526394277,0.6220156717279729,0.6082837908939244,0.6179070606540813,0.6512535408654333,0.6453261054549124,0.7198794518885978,0.8376946552364425,0.8030183402698792,0.9090877884748134,0.8802462671486486,1.09712862084353,0.9822250634349285,0.9206374589258682,1.1116348935018587,1.3137234246630212,1.048098583143565,0.9389584450741593,0.8568945031768977,0.7596264495639484,0.9867291948092598,0.8364354886753216,0.899842165463422,0.9362664337678855,0.767535221483238,0.6661160514658958,0.5862058891577387,0.5204366808601962,0.6889599907340046,0.5569135543251713,0.5152770063015946,1.4423082135176564,0.5491437982412986,0.5128773596069205,0.5223702141053312,0.4275387794867879,0.5454227279943004,0.6931716892489707,0.7107400296858082,2.173012335649299,2.1837558801618138,2.4423914973123506],[0.4757142097722838,0.5026983154800709,0.4440738173504442,0.3513314747903546,0.5355165087855117,0.3054562625116445,0.2727923010034991,0.28625327979028997,0.3682184183867728,0.3125890984432567,0.3150013973212131,0.4016751485708568,0.32994426630331225,0.32368831641339024,0.3602399651618681,0.3755739165752189,0.38333201071047307,0.3955370176138239,0.45246654433845346,0.45513481612174994,0.4766084852974347,0.49345992350960094,0.7093539248873679,0.6940293086529424,0.7324109622917567,0.541610550500343,0.4378355725713096,0.37479686924229944,0.37827506992829707,0.36559348045482953,0.4045246207782733,0.3925466828826531,0.3973641431003832,0.39914524620935987,0.3660892023302027,0.41482767515964625,0.36379113968488713,0.41097187944059416,0.3809163263662828,0.4072599693985209,0.5752330509180423,0.5401581555248045,0.5216920802762324,0.7493814957443137,1.2832680927210922,1.6279656161910998,1.7190910299961069,1.0059072717895807,1.059262750131342,1.297558683437893,1.0053718315804583,2.242355528379991,1.3271832322779156,0.8649631855303982,1.8293278447222736,0.6501897665236015,0.7139820478604755,1.0300463410212144,1.2725085680126258,0.8925188356925329,0.599700560076152,0.6900652204796032,0.6820595120511006,0.5950290387589348,0.5163783467588886,0.5279524634410702,0.6179025917326911,0.4507761858486994,0.6011705641475165,0.5255942353021766,0.8322493342634305,1.033454780798006,0.7275230422479335,0.8166474837264676,0.5307680722590988,0.9137390804573617,0.46206164322499976,0.409557619264833,0.4176696827915418,0.4788576487257329,0.4262407472686349,0.49016256963518423,0.9356630575213218,0.44563957589634046,0.5133568822868539,0.3975059989329777,0.3930336754025583,0.4884467096182357,0.415499934096222,0.46874115378660386,0.42496501723314584,0.6647738464761788,0.51625997314851,0.4161227346762642,0.399064961445777,0.5089141514764318,0.5565802225484965,0.4127275063142341,0.36480236743116823,0.6115565347274625,0.3886894707520474,0.5182652891982118,0.32794876786970256,0.41671604263880696,0.5196619917272732,0.4497969602226284,0.6185239651767408,0.5083031399675156,0.44019794970050824,0.5602603300051083,0.4212392328969955,0.3498709865153483,0.27810167210070286,0.3421398099147556,0.3081918262948738,0.35850811654874043,0.43689322092010907,0.4439292653142211,0.5796799238938272,0.44734207519886365,0.46404868239341446,0.3997005787621894,0.436141664226333,0.33197726396862354,0.29845864742038736,0.36778346755680924,0.44509514649129295,0.3496333819473721,0.3929679472266542,0.4373611908453205,0.478950218843024,0.5105409831081166,0.467843078153063,0.47996684177600357,0.44957516465944075,0.43179317787991894,0.6076862885211076,0.4768978685341326,0.4633761067726688,0.4150128988753735,0.685033034438388,0.7279715311464259,0.48251133164943233,0.4727472837462936,0.4478375732616497,0.3515314111673397,0.3434699310646446,0.35957793630584434,0.2977609839201077,0.33920628372513634,0.40268865086839767,0.4081525610941516,0.7497668428625794,1.185022481732562,1.1940039654831676,0.43971612680536865,0.33732221329802786,0.34400422182584417,0.32093078323230184,0.3777794057657177,0.37361086837424196,0.3672313022376006,0.3834025634856661,0.41814181547489304,0.4540703444631782,0.6506183129902663,0.5640287310100409,0.7774566023068126,0.7616750814361858,0.7432356740811618,0.5574457201910871,0.4582564257801933,0.4559220831617138,0.4047731612361052,0.34645682178862736,0.3746505690652056,0.35678469347753866,0.5306294318939778,0.3907829182406315,0.3902185973187657,0.44196693064310705,0.40735350797475384,0.4526206737827627,0.5376619651775149,0.527035885388101,0.5923710750347416,0.7159353600362738,0.7842563406219626,1.9201884158128446,0.852155742540322,0.9468652905668754,0.8122075387238297,0.7771945839959858,0.7451543857184232,0.5963847780810759,0.6213051024424955,0.5917292763774835,0.5638271766424628,0.5574077330139793,0.5968937903872943,0.4544126057111721,0.4599828355056729,0.44464493835147645,0.4339631827720253,0.4186987217104396,0.4631485529906297,0.5191499890665023,0.4874602086122097,0.5382261906174235,0.5679774881129426,0.5852139783798092,0.6273370951194032,0.7055776028833114,0.7155311585339449,0.8023707530687377,0.8170374620942206,0.8979289619983998,0.7172267523222182,0.5685110929643339,0.5495479651452887,0.6568015791948606,1.6785386170201873,0.9514840060790726,1.3202188377220032,0.940187590445495,0.6028069569369916,0.6973470322797142,0.6603681834265425,0.7326744595725033,0.5403293319956126,0.616649171446272,0.7244975299279959,0.8365652666963863,0.6935076357071714,0.9384335734602363,0.9917491954874232,0.8757593743617691,1.040570274211152,0.6137132582890771,0.6089972691212886,0.5476749578396687,0.5798536009326186,0.7463828138774896,0.7359443044578436,0.795960407152754,0.6404704651439265,0.5617021242178324,0.6563988793813493,0.661045545072363,0.5246245972267691,0.6370375270739707,0.7673584094538526,0.6265941646054475,0.6452629967761867,0.7813615034013357,0.9546075858221255,0.6973096170010954,0.6789078664919221,0.602649139512675,0.5600802554684928,0.514873383321188,0.5354667986450173,0.5408378905742707,0.5062482933874417,0.5069591425723707,0.49789244467512284,0.5357702590787135,0.4929859571640676,0.5484579916224537,0.735433597805871,0.6320343476081657,0.7514410151807046,0.7408384781662638,0.994433662101797,0.8572433067124213,0.756168015652457,0.8991301748545708,1.070186179907937,0.9618500811964806,0.7604764249062128,0.6663371619206738,0.5906945672268128,0.7974956758237227,0.6661205344214385,0.7949378915421039,0.8374505436770702,0.6590006123200477,0.5472764618887334,0.5060331147591538,0.46237048105669126,0.5212709137072942,0.6259373747451223,0.5524763530335352,1.4490619844440558,0.5683480433065062,0.43747804227818216,0.4731028465704559,0.40047497652459174,0.4782105361180403,0.7267331438431931,0.6458021070483629,1.557099292360148,1.617504637259599,2.013079295903089],[0.5176048264746824,0.48987170937567787,0.5048447163475646,0.3321075149618367,0.5291576465107352,0.3014656052757932,0.26004658460959745,0.29650362595386176,0.39207915660792225,0.28281850582890516,0.3271687819364356,0.4106283319420677,0.2882314843092344,0.2884069659980821,0.3590300556611953,0.3277728211815916,0.32361789102643423,0.32888665490827834,0.4228620257628636,0.42540825469371724,0.47439559663745345,0.5005108260856631,0.7392008371126791,0.7430912046611187,0.7778866866874284,0.5573150437816767,0.43892427884094665,0.3566701529156866,0.34103563227599076,0.32905170958001745,0.3591823974155234,0.36366038150513763,0.4013565306095578,0.37151072575535843,0.31954150570630224,0.35519353472457516,0.3395043080098126,0.41002844571576025,0.3775885693864938,0.4270624556741982,0.5896123875746452,0.5529980854282139,0.5458359287198478,0.7897094212775244,1.3554611853437768,1.6681006367220246,1.802005925434761,1.0771842756358794,1.093235405158934,1.3546102344385889,1.077564430459381,2.1609788166118915,1.3054281803262977,0.932925283466826,1.9013743594975987,0.7115583603904438,0.7155506489169211,1.1454965374556731,1.313943419564248,0.9496567402087096,0.6126142592499662,0.6717617196186475,0.6619126872449921,0.5857561706899911,0.5193216167032401,0.516921494540887,0.6284409116333147,0.4157089285163038,0.5717320998119179,0.4908734451395832,0.7808453600935078,0.9906647290499613,0.693795726998558,0.8280165537940299,0.47614504672182756,0.876910739057201,0.4093972366520371,0.3633970329480586,0.3788228123359107,0.45242322875488605,0.39853848823173815,0.4832752507256968,0.9120035560469552,0.46407931638764477,0.5226982257267457,0.3798931113955962,0.3855486682967976,0.48644716136627664,0.3692370805251879,0.421974116430099,0.3780755903296446,0.6566571523779517,0.511555991883731,0.4059500238800533,0.3884839961597336,0.5455218018028944,0.5922660549355491,0.4352257347142765,0.38949131462764125,0.6619428504993605,0.3895788336583461,0.510341062073377,0.3051968835851623,0.397759575161268,0.5356934476880268,0.448999537496123,0.6122359672892959,0.5309980279317562,0.4623862491762787,0.536361092528205,0.38815791962529633,0.34330580581150705,0.2549698589454535,0.3404816890720368,0.25228038852115403,0.33876915244772904,0.40796494539908,0.4515177451658009,0.6034742701490163,0.39109176922173033,0.4063348049849692,0.33748479974440393,0.38756519046492927,0.2663323653382356,0.24160318385914847,0.39557681155505325,0.4327653976205633,0.3784458984379627,0.4690297445783414,0.5138374242405622,0.6071650219872565,0.6327208615628149,0.5949064202991681,0.5413390978361565,0.540623616566413,0.483536849404761,0.6661803930954597,0.554702208615397,0.4855782601225348,0.4403652557800835,0.6788834010924214,0.7745340441415902,0.5272486809603377,0.5085036611592216,0.4802491922014337,0.32863771069244013,0.3325847523818941,0.3250620489471817,0.26158741758091336,0.3003470132106724,0.4106451529505719,0.4332997104001888,0.7737324400279824,1.2412132563952296,1.2505740109822638,0.4738123972252932,0.35413239407116925,0.34299389781460315,0.2954027583088689,0.34606389729308396,0.3901279276820821,0.3594429479345638,0.4068088870733592,0.4529909059752429,0.5059552808092143,0.7162023067476142,0.6414765993889907,0.855807433876689,0.859292619707774,0.7964718017454684,0.6299944809724096,0.5231182874908149,0.49417420096543224,0.43717925244042166,0.3622193812943604,0.37712450711768747,0.33855019343271503,0.5161849410382647,0.39840420281895494,0.4250860701793635,0.4803508445530226,0.43879780296638937,0.5309465867456585,0.6268830379256771,0.608103919710835,0.6507591489243715,0.748548590814646,0.8688158400681825,1.9158558167063018,0.9991097098044801,1.004622870591324,0.9243937683124211,0.8920625270907514,0.8715576321646822,0.7307454126313501,0.7520318947149996,0.7222464603236589,0.7020613327503917,0.6585958904828306,0.6895782186271886,0.5156423386286201,0.5055163662662034,0.4990165131749035,0.48430398453914353,0.4482710464727316,0.4856693185122813,0.5235759962975922,0.49380228064237136,0.5458534399207653,0.5793454771252782,0.5846195468310479,0.6591749808919994,0.7551351329720682,0.7625755360553894,0.8484646653385254,0.8084067643806941,0.900337570396406,0.7132226601670516,0.5884700990060844,0.5684661229391237,0.7071284536330946,1.5210323472299554,0.9511019939158192,1.274922405654056,0.9773112004272135,0.6288193394926226,0.7141415976193246,0.6702628994766949,0.795584487594017,0.5983963619693509,0.6846793924487259,0.8278077604191229,0.9335739931256968,0.8042301822756377,0.9934383104687111,1.132111787286419,0.9564117016997034,1.1117351152821557,0.6976118534412177,0.7209319731490651,0.61437716382383,0.6057800795988125,0.7694972958372428,0.7563258605312401,0.8075075905761137,0.670065560600179,0.5711567562717269,0.653765496632903,0.6755713627641071,0.530369939875053,0.641166840265609,0.7758190468505801,0.6373664052165616,0.651888326837422,0.8005892432200766,1.0000957676886024,0.7327900068570966,0.7219885826304493,0.6373705250121219,0.5846000034856694,0.5195000275124184,0.5442881851223605,0.5591030954964048,0.5155662865336629,0.5326795478010397,0.5277353445558346,0.5554875852483165,0.5151703303536638,0.5780124448939955,0.798160351001443,0.6643171984988796,0.816350905895395,0.8428886250237254,1.0837712999197553,0.9355630737270036,0.8319164932484797,0.9697559152485167,1.0646580376476482,0.9664165464691208,0.7423441600668066,0.661610796686106,0.5941129946903329,0.722430089140169,0.7003747618852345,0.8698630501551131,0.8978635439079674,0.7224430179750144,0.6335409171745603,0.5991423228387326,0.5300719574958632,0.5518764212277969,0.699117499411978,0.5704605036807434,1.3881201564444166,0.6230961955421147,0.4484286567741021,0.4513302622889135,0.3999331191314851,0.47885369830914537,0.7882545140645674,0.7043742927706574,1.1952382775573385,1.5408796762283494,2.0259876876670293],[0.5253138609670487,0.4934577145686424,0.5251775491402884,0.38682854109414044,0.5596797705727944,0.39097669734797036,0.3699080192355163,0.3788369049399886,0.43579936080523096,0.3478338439193167,0.3446029226380089,0.4468756225115124,0.3503646960109969,0.36480908653515115,0.39896971456183106,0.39834204182614397,0.44078844563527575,0.46436370816003486,0.5679991684164771,0.5568142594782017,0.6456831383674771,0.6431133226261992,0.8625515717682964,0.8902673592942387,0.9032830502533602,0.7202140895237022,0.5581978296635672,0.49304666136695063,0.4688788580122353,0.4220476196377983,0.43644618137504365,0.40961829531921873,0.44873483581964435,0.4369260426625083,0.4170654806082401,0.47652505701167747,0.42593710586442834,0.4940537283345657,0.46823757173664715,0.5066915683527892,0.643571258097404,0.6355634259984988,0.6284091991499137,0.8519570517295944,1.3625911845917704,1.6525247965222292,1.818443949750947,1.1277405594337813,1.1631699879896766,1.3991453270076086,1.147867073088563,2.25751382469857,1.3774434038137646,0.9789747335528434,1.834021977428802,0.7292325689980703,0.8329890338534834,1.0433958799338077,1.2137541522675557,1.0376771202471402,0.7061195435677438,0.7370190850316295,0.7813130622579945,0.7754612214154105,0.6482107697045318,0.6658703245366276,0.8130413027264486,0.5782610317095692,0.75165479748472,0.5846723937288167,0.8787079391741888,1.0442136142281462,0.7618360978454477,0.9650351714040002,0.5456249662470155,0.9812534981308367,0.5491398282204332,0.48043040492018396,0.5035386036722269,0.5673272389373526,0.4782774339431374,0.5437998249946353,0.9893313968044246,0.5125040026961246,0.567817389823792,0.45459171298082174,0.484619922237024,0.5607065839201196,0.5084102777061708,0.4895748234502978,0.47518659226193044,0.7138308168475302,0.5669829136427709,0.4639283062305627,0.4336159586089191,0.5656165931571182,0.5671142130998661,0.4619442265813182,0.41753161823540785,0.6889030297064151,0.42015342695485086,0.5505740439525406,0.3891241297490914,0.4784665327997126,0.5864921667452715,0.4986138892509567,0.6764607253636703,0.5595365141704657,0.5201958245607063,0.5964175913534038,0.4693823984304536,0.4314536229414966,0.3816777037991823,0.4554967264577381,0.3895862685467224,0.4826525525555265,0.5312300430602241,0.5808038290872484,0.7471943996214597,0.5586726238677056,0.5847600185591698,0.4894997102507907,0.5540668583664736,0.440171412361118,0.3847124998705649,0.4872673705070911,0.5203615555739068,0.4502885975968998,0.5273743812975199,0.5643043414350561,0.6275135206490545,0.6590185673501514,0.610682967538478,0.5904760718144897,0.5731926922797851,0.52850959090651,0.6782362826859291,0.5960860884096439,0.5282449842499699,0.5009453402493311,0.7036582672578089,0.8233294942844208,0.6483202219633935,0.6216261075512612,0.5544083684965299,0.4383706854546176,0.44173657379502657,0.43859774337435375,0.3895084427223348,0.38940080771488683,0.4610183856647292,0.47906508120833746,0.8353088447944446,1.3090283559507276,1.260484628152778,0.4890541437423046,0.3904747124252642,0.41211057692971387,0.37277737688861534,0.45797501312785155,0.4943145365964462,0.46082717941186124,0.4899904695129354,0.5425818062912795,0.5636316640742949,0.7338772494465311,0.6583967111368132,0.8674008823709561,0.862337190411251,0.7982061228265567,0.6461844510607051,0.5619131437450094,0.5448856312040193,0.5158950359984193,0.4604489394668744,0.4627108796909192,0.4350186781715204,0.6213968821090645,0.49166186361278474,0.5072337105523773,0.5543967149180199,0.5074706549826418,0.5723634412583389,0.6451278377870882,0.6399660666876518,0.7053050102036215,0.798249729997208,0.9360935218326691,1.9073205055722044,1.0491748508512264,1.0309305637260189,0.9542294820025159,0.8861710736411021,0.8651457001331911,0.7317673813470655,0.7660851652762405,0.7189055663334191,0.6979004986428285,0.6569171693542266,0.7123876379833903,0.540857482948011,0.5476251091683592,0.5438839016428957,0.5283460700876447,0.49824959592508533,0.536404763200127,0.5666486995643164,0.5606633291063587,0.6014211758501227,0.6009612202642491,0.6271943119765431,0.7090967117075425,0.7797609840339831,0.7273610258744024,0.8610718422054437,0.8301046929220478,0.9534595065183662,0.7952109398900556,0.6655343103405467,0.6407041733282638,0.7390389649426131,1.43767715198045,0.9837462114106535,1.4247315841168076,0.8851573829398158,0.6372022642172543,0.7956221218206937,0.7195603545044575,0.9022952559456103,0.6326881000007314,0.6849059259111047,0.8263328533575326,0.9629261747110316,0.8194072670970343,0.9872746596278836,1.1617963015478698,0.9815259016520855,1.1091013439986412,0.715964546349523,0.7177728351719127,0.6127751463795024,0.6096397795481554,0.7354371114168121,0.8117399543701761,0.8053733254459721,0.6704251967552542,0.599287409243541,0.6952714818772641,0.7138517972113259,0.5975047722900673,0.73868319525375,0.8718356942367392,0.7193311962286597,0.7416359166078397,0.8966148938155499,1.0839148552584164,0.809325147452808,0.8120770998134923,0.7107000727949057,0.6720991624437802,0.5816825051643097,0.5590368264932325,0.6408930416691646,0.5645502279496314,0.5647620696571727,0.5792987270973348,0.60076738770488,0.5720022968739908,0.6355801824575914,0.8757948514598061,0.7280099647546486,0.8829170395968389,0.887974661459817,1.1128811207712135,0.9663314054394989,0.8793085057059984,1.0385774405869717,1.072630671569403,1.105564913236776,0.8113271801202565,0.7046693445235913,0.6275898691749742,0.7558998951461838,0.7895090962336613,0.95103597511557,0.9305405187475796,0.7705734013348516,0.6590414822974247,0.6215562425568608,0.5751916862496601,0.5928416125425959,0.7531368222868867,0.6330639396491397,1.4516546236928392,0.6396783701368949,0.4897528968143468,0.5068176390546056,0.4683820816206193,0.4770006718759094,0.7727744985617848,0.7719801336281479,0.9986164922441588,1.6921897475117726,2.34957996981194],[0.510404597876968,0.4967738959209174,0.7224849085301491,0.4321021459353629,0.609956190733353,0.42981944407552836,0.42815730950638486,0.41181225950897343,0.4379641881341379,0.3488679758981644,0.3589659003042033,0.45748269332822084,0.35998327917304823,0.35844974207319447,0.3814137933346866,0.41294518381764,0.43389509343478855,0.4545028302264008,0.5177989378053707,0.5166390602570223,0.5793193419588883,0.5954673544262322,0.8196491160875844,0.829739984015621,0.8611118844365789,0.6436615762862679,0.5354113112894481,0.4723505945754606,0.47529264203812366,0.4577389288444179,0.4417869926174355,0.44790837353926993,0.46405613137489105,0.4404851652476854,0.4445422038416207,0.4792918914668966,0.4726659802874485,0.524649534901162,0.49330033545889074,0.5170447585808698,0.6462030662287097,0.6292985808478384,0.6318181101490223,0.8674148318563393,1.435033570674121,1.733183903713496,1.8857655228588697,1.140095261259734,1.1360742523803296,1.4197135003104393,1.139985350401792,2.045045155616374,1.3100258855793838,0.9789478694999413,1.9903830934001874,0.8230298225914338,0.7688999066309797,1.2585203164144132,1.3902488863859523,1.0076563209792109,0.6516229531570323,0.7033465065255792,0.7033474541765061,0.6615306806757147,0.5927073870743602,0.5941255715405538,0.7192659293081787,0.5300238973900797,0.6617861265114666,0.5537129437872875,0.8537064216066593,1.014355923806372,0.7514231354325035,0.8980312898216186,0.5483243906268723,0.9004203501774133,0.5193174815148254,0.4739781599605811,0.5063884213262354,0.571584449703811,0.5099496110576359,0.5513958620162909,0.9503608266119216,0.5905864687373822,0.6146517850483849,0.5119544658935192,0.4977260297953466,0.5803420631842345,0.5025755175526498,0.5298534721150345,0.4636345403648146,0.6717264923866189,0.5338718264223135,0.4278686717072002,0.41864258787432207,0.5225799926397515,0.5637584477692678,0.45804204553633115,0.44426173015102255,0.732354001798002,0.48223664161006113,0.6197768984204579,0.447716076014865,0.5530505244644545,0.7151897319731116,0.6117197960927693,0.7585222729401834,0.663514130538267,0.6121962297910076,0.6310344429627545,0.5255277655956443,0.5010875588441771,0.4350549298448744,0.5036309616618271,0.40959624992735055,0.4688166690319827,0.5130044414206241,0.5280562438470655,0.6731048181397178,0.5037271071277674,0.5248180262595498,0.4640280445561689,0.5046864719080153,0.4243355113217842,0.4025620104064537,0.5447599142234633,0.5812214837342536,0.5360249458214118,0.6254808486406026,0.6488718544243725,0.7383172688897099,0.7809390226491623,0.7110944018019197,0.6769967163382092,0.6477876826924528,0.5927352113764585,0.7331918850827355,0.6177058454722816,0.5303314387019035,0.49773048359701233,0.6677071287769565,0.7933732901072906,0.6010072023122643,0.5776601145093653,0.5687099539270508,0.4568981164328848,0.4634093770567061,0.47767973058345864,0.42869785433272567,0.42459550610605895,0.5279962045217388,0.48622914567275605,0.7846528486843309,1.2417283741269498,1.2211406247049692,0.551151303659558,0.4429759447277988,0.47299385380509273,0.42335466908488095,0.4901906292679151,0.5197951366566513,0.48768192544676386,0.5171729921680599,0.558284127026319,0.5985770533004859,0.763337401050072,0.6977586867519151,0.8983220234590195,0.8991725935577228,0.8386254085039634,0.6843849707066733,0.5984910128940909,0.5967905744648261,0.5830356540028845,0.5161173524073976,0.5399861286952704,0.49003834492349635,0.6526230108762405,0.5488645546754926,0.5870050527482142,0.6065036605544915,0.5942754191236719,0.6786271456975352,0.7460060533380001,0.7038848688643338,0.7027855511313713,0.7666660780727044,0.9044779287288816,1.9382792431502602,1.0434759849453867,1.0140686491626665,0.9400601110170282,0.9116196820623766,0.9070282725314113,0.816983880718856,0.8820621139966944,0.8381716121256052,0.8302402689118183,0.8011521398465344,0.839573048172666,0.7013942544360872,0.6951131515266015,0.699967484305873,0.6845020289915759,0.6515531428060721,0.6758509228667315,0.6942038113344651,0.685716026598196,0.7141776686470048,0.7349138574166394,0.7367699909156757,0.8154904933408501,0.8911060920345871,0.8908245527999173,0.9897716041223414,0.9243544117854773,1.02654735391856,0.8523038500224721,0.7662723895048165,0.7404998389854239,0.8747753618723739,1.4270450788036753,1.0585556672523377,1.3467905414736518,1.042498355431904,0.7648551009794551,0.8740199112338801,0.8299672821919121,1.0034205386462955,0.793272813490227,0.8778111745930365,1.027458964695462,1.1447002997177784,1.0149467807374524,1.1087467096668744,1.3131402131564927,1.1109188538987507,1.207225167190097,0.8700619903645166,0.8718514401463925,0.761398333801174,0.7463009615093452,0.8454107498799818,0.865386897715838,0.844260457941065,0.7787333783313481,0.6994837928219204,0.744953982198274,0.7742727261048135,0.6851669016251216,0.7777187309502614,0.8800987903444669,0.781183132674498,0.8071863163741558,0.9203714755961628,1.1059368125158675,0.8932688767272047,0.8921625184392926,0.8164470836157365,0.7751838067212287,0.6980050321165796,0.7025190419830658,0.7414920598794918,0.6931555645623716,0.7224161577627031,0.7125573909807218,0.7241736362178295,0.7091445021930923,0.7732471143122304,0.9871856437446734,0.8262535684457757,0.9925494801309053,1.0068096750748148,1.1905639661902403,1.061611702638061,0.9659097686915483,1.0881672694428943,1.0973858569978048,1.1257103921741054,0.859350010024974,0.788232343158597,0.7650216625425549,0.7928252528929222,0.8777742592420218,1.0499669869057475,1.0124366937102147,0.8869408184462463,0.7817060144592867,0.756622684996774,0.6722445487219599,0.7158038852883747,0.9158780010474603,0.723112545683927,1.3923638112986545,0.8678397885979223,0.6019677988855502,0.543200187175812,0.4614569079938169,0.47790004005368136,0.9031983413559798,0.9489483912005043,0.8977705558614026,1.948127719559897,2.4859420629074553],[0.5014873398595204,0.4620949619984,0.7146143142462662,0.4191158507016198,0.6274809826984812,0.3837599166205318,0.3799904086800332,0.3626384087727124,0.39758891438249205,0.31994350292780976,0.3332481630954381,0.4256547969379877,0.3317116732489833,0.36966621869937266,0.40705184514246995,0.4024937852446302,0.4475338983442593,0.4763100228773479,0.5923975227793855,0.5849296308598105,0.6874084462549978,0.71076973030691,0.9675127117293434,0.9768446413224088,0.9736212243813837,0.7654080408563882,0.6324755980408138,0.5346392872502663,0.5016078834808366,0.4645128650678871,0.4322849126580014,0.4301518863247634,0.44123964878696603,0.44105719541197996,0.4239582119231189,0.4852977246161099,0.46611713026904666,0.5576443200147405,0.5480526081183793,0.5719140660358054,0.7233852068544546,0.7266423492873878,0.7403148693267654,0.9615510895293415,1.5667985450757997,1.8214008989632757,2.0189981371849504,1.2747124552664344,1.2307718288969118,1.538145289006839,1.2407091922318079,1.9572557242514177,1.307676887478223,1.126256561385882,2.1152969489472437,0.9529923945719364,0.8502248043618137,1.3818071496130362,1.464990785292686,1.0964101183210904,0.7901004518921397,0.7574396244518216,0.7443793536783415,0.7452800457383314,0.7181685274240962,0.6776659867389507,0.7909350590965188,0.5674367706285973,0.7289467403110443,0.5686823843122393,0.8577797540931033,1.003087522701123,0.7447628975259235,0.9407570833268469,0.5696103060619914,0.9371126180276491,0.5435506481706371,0.4932120539495641,0.5182831949612146,0.6058150840934019,0.5370443804845166,0.5916245210361806,0.9355898339107803,0.6062162662821611,0.6432289219845344,0.5201525953809752,0.5433373754084995,0.600077884700906,0.5230235007715657,0.5143885501020583,0.4904854885120292,0.7225425862520568,0.5700265324743884,0.4444188685503825,0.41846409535915663,0.546962585864367,0.5586608732334468,0.45072083748920605,0.4138081832492287,0.704194703816857,0.4454665561710343,0.5942695742834617,0.41364845050352395,0.5162137754947671,0.6979873968252694,0.5898468049069493,0.7465098333200882,0.6754072869336029,0.6188874676664875,0.6171601232838557,0.5099068319693421,0.4890982507238748,0.41385833363695523,0.5091032914425606,0.4116678573293896,0.5030217320316819,0.5571976936970225,0.6128764127153508,0.7650821904132545,0.5662915874351258,0.573581437214431,0.49726177302132524,0.5459929112580633,0.4457199670421373,0.3923945541249517,0.5508962920162659,0.5856012218447857,0.5460389899310378,0.6305781677011053,0.6676364501620412,0.7704686242348359,0.8105102625557423,0.7556053704385098,0.6997789422150108,0.6848299341752949,0.6148451187478927,0.7553405480741984,0.6618181400318723,0.5880058853534201,0.5463948988620803,0.6967609223854196,0.8519296453465998,0.6680641395429358,0.6480642441034246,0.6547340517679112,0.5031521104522961,0.5035727031665377,0.48911488036867246,0.41736505399302015,0.38641879534717205,0.4968179257563521,0.45321132419716414,0.7866049708549769,1.2527738928649346,1.2261580118180084,0.5078812645912036,0.4006160884289847,0.43514694187674186,0.39864886148535494,0.4730937472922497,0.5283237818787258,0.5154876521066151,0.5582927606189418,0.5865089291749138,0.644369391207228,0.7979039868313003,0.7473205895391711,0.9517294760423957,0.9508797917676276,0.8662878339935227,0.7286080861332415,0.6320095236985372,0.6104121475788518,0.6011302279940147,0.5256096119597066,0.5313683315065455,0.4918645693428591,0.6406329604999389,0.5605816647370564,0.5827642348886541,0.6456355196143286,0.5895593796982282,0.6924307464089788,0.7800213787162689,0.7457323277632606,0.773573754404932,0.8464653455699325,1.0137497240963684,1.9755463322595606,1.1451923637979113,1.1040762081758484,1.0013580467367595,0.966838458446281,0.9671472646266177,0.8858496315528812,0.9630218886942192,0.9154264645400526,0.8930917599155854,0.858496551480295,0.8551668826406014,0.746199393449985,0.7085857918541274,0.707618364441097,0.7260204749050925,0.6979783493944061,0.6971883348708094,0.7270736393948127,0.7383745223947158,0.751327747847717,0.7535201435669988,0.7741968101276904,0.8590689111755065,0.9102683334481224,0.8902651471359401,1.0074451031394103,0.9347852988450277,1.0800117512112546,0.9389310558211348,0.8627775755862518,0.8375810725077624,0.9758700499910771,1.3958167712452678,1.1666920191323376,1.3980098191316164,1.1169302505089254,0.8428512264924842,0.9145841195788585,0.8726613913125676,1.060852104861758,0.8593529427064491,0.9541850686664708,1.1464471520147115,1.259305794428558,1.108432055036617,1.1569331729033165,1.4347565593703404,1.1986109105440188,1.2352478587372933,0.9366129469005671,0.9237250208973494,0.823066588249657,0.7860709903499232,0.8599649850147002,0.9086997723927175,0.8432224820513529,0.7927561392899084,0.7198157137724993,0.7448931022036793,0.7640658908507643,0.7082487062765493,0.8032373570420529,0.9015715109856827,0.8027147483218722,0.8478803080763753,0.961957010796485,1.1388784449934473,0.9404698541885173,0.9576258719119807,0.8794961760648419,0.8452274401759577,0.7599843395492085,0.7681455922794356,0.8273361440618066,0.7608242673644593,0.7893699065788927,0.8119421471414893,0.818195085405988,0.7902467059420959,0.8746176612292662,1.0951387738643021,0.9156739731992531,1.0729228896270342,1.1226129564654956,1.282818462759442,1.1575745719905841,1.0508426726362528,1.2111426116608768,1.1623691251024462,1.231367982772862,0.9251332473113052,0.8458421849992017,0.8083577548659434,0.8430876957293636,0.9313754284217104,1.104856304874004,1.0354926109628442,0.932077197077426,0.8066544907593595,0.7817105817251008,0.6838029675303733,0.7113185355758441,0.9002434281795946,0.7209979937899711,1.3667089266796268,0.8222004053770432,0.589723105373638,0.5201702598897358,0.41846204925600733,0.44512786715978253,0.8580274709994197,0.9588749522460481,0.8631129660772001,2.0733126538289133,2.7623810696411937],[0.5574823012317941,0.49801468047537917,0.7187427793954281,0.35937351184078453,0.5360414009544217,0.4437458852368505,0.4266422200741274,0.4350008757298558,0.467562752846873,0.368200150957928,0.3714153138974428,0.4947900933784452,0.36222815629180777,0.35215724381059826,0.3795645064639051,0.383442037510099,0.4182522912576977,0.43099225089387355,0.5117303538540775,0.49922706820039064,0.5788923994624785,0.5804275744775949,0.8194089639744169,0.847322797070442,0.8616268827830569,0.6517718436230467,0.5038663246208668,0.4380706960160518,0.43417077898070555,0.40459357773732085,0.43654471441380066,0.42266285569774403,0.4639969273084325,0.4193708659709025,0.41307442481936896,0.4510743127920852,0.4233066381566343,0.46899627880865946,0.4368907211129859,0.47989222329138403,0.6226780832296336,0.5897209660589534,0.5815663327473156,0.8352523331125277,1.4100355780409488,1.7210939866753467,1.8855001400076414,1.127111204391543,1.136993467120418,1.412440681257781,1.131193353672967,2.1112202972666556,1.3369511555412388,0.9448888303741683,1.9101625872212595,0.7512393466860451,0.7630191059799016,1.1197384607637437,1.2912924033491098,0.9828378212630043,0.6216829066300729,0.6933957673475486,0.72598733446657,0.684638922043045,0.5850785269708844,0.5816788189164727,0.7463496902284236,0.533292767898727,0.700034305040314,0.5694234263460124,0.8556498308255126,1.0476012143846998,0.7619796036241943,0.9210554009100187,0.538789912079908,0.9328432743028552,0.5121898516887838,0.4557290811164421,0.4678278941926682,0.5199742358704529,0.461947343583771,0.5221898190615548,0.9753052681795535,0.5150405405846216,0.5645255510279303,0.45564428494738174,0.4436205894269296,0.5403266241828891,0.4601907620810003,0.4831233139629376,0.45962015436440795,0.6910602115730259,0.5482370149426863,0.4458378002283134,0.43052150660507355,0.5508650628460934,0.592837389168054,0.4759534056971625,0.4617983126672118,0.7473236784014665,0.47615660293979045,0.6278328705164367,0.4416905268273961,0.5409015222760956,0.673532076998028,0.5877059725115168,0.7808588977624368,0.6529626862549259,0.6124695845150142,0.636833028174661,0.5672564813640399,0.48414830848743196,0.40896864769847346,0.46380209938234235,0.37621793736440967,0.4319822839787075,0.4859612418159342,0.5121086635091399,0.6812658490456459,0.5017906722705715,0.5302179233792621,0.4495112471937932,0.4932623523519733,0.40143090248516217,0.383352491993896,0.497769654659021,0.5601150047578088,0.4986448688459984,0.5843363602310532,0.5921552193205503,0.6920996988394904,0.7478597246416131,0.6707763736132958,0.6396994691318613,0.6054350821070301,0.551459031094327,0.7109211437576165,0.5790977696131271,0.4977402384964178,0.46128245111499055,0.6673249733089441,0.8035372731035283,0.5793719655879046,0.5504086035906407,0.5178763096831773,0.40060682827626315,0.40624346699088526,0.4330766378510034,0.39834142922458954,0.418992313055717,0.535545427685825,0.5315877549204215,0.8917751353431824,1.2626742822501413,1.2079646570605003,0.5718878181188702,0.4451820616615402,0.48525557210792025,0.4006324983349706,0.4925995815785634,0.4786343159677563,0.43467049588605616,0.4724559045861512,0.5059176892231222,0.5690103758586809,0.7274589289367058,0.6749102319939612,0.8895960647013038,0.8898320042399152,0.8281438698309692,0.660696842928508,0.559684716225972,0.5625420859763614,0.527711893393208,0.4587371400796928,0.4917762467913818,0.4444436370003111,0.6441026819286838,0.4838784076075256,0.5264025545380492,0.5520045134881091,0.5529527227405117,0.6292611990015762,0.7054461641697659,0.6658053757434825,0.6720848504069956,0.7579643207463291,0.8839228021251718,1.9449428643798008,1.0197197748198925,0.9999806823796985,0.9003809955701189,0.8723750113040695,0.8709523517830886,0.783808624484679,0.8598919920715502,0.8048482476751593,0.7958814602747856,0.7818129591451655,0.7899652333088134,0.6970773616168021,0.6721867436364315,0.6627965120089964,0.6926503801645884,0.6757731122581762,0.6873724903707065,0.6943866242755937,0.7307518537898605,0.7658032418817959,0.7478262142265664,0.7617832073646039,0.8651807530970397,0.9381930287353593,0.8681507507225421,0.9736231782235699,0.8640431195610281,1.0970107591896827,0.9111878418762136,0.8392124366565156,0.8157400967535305,0.9044116316901064,1.407621108731054,1.177596364820551,1.4997029938181192,1.038600476890995,0.8275820580832636,0.9533604825165803,0.8634727250315603,1.0494956967979194,0.8113323378175273,0.8821707731926349,1.0303349737721925,1.18305232847198,1.0310171073280363,1.0760112221660114,1.3240227941547518,1.1067534801482932,1.1678880354392773,0.8732131491611618,0.8336220787348483,0.7480403870080049,0.7463236640891602,0.8118596395064146,0.944240416948842,0.8236934467234945,0.7802252896231027,0.7173885014556727,0.7656162107264587,0.7824840995731597,0.7369697723156757,0.8601479116801399,0.9591401942374334,0.8514901671924328,0.9085965296587672,1.039151234071847,1.198394059014334,0.9874104529429355,1.0141393638562326,0.9061505193088983,0.8727271595796097,0.7733902899226128,0.7536185445378215,0.8333112787412361,0.7470123875857073,0.7540999060265132,0.789815192391416,0.7965148501921334,0.7586249478496782,0.8311570562561398,1.0443830521859707,0.8941771809613591,1.0543372888854383,1.0720528109681302,1.2404215654072992,1.1122369683628859,1.0375154817011694,1.1966834376578772,1.1730695230216017,1.2894478722898597,0.9271117271814864,0.8236394622509711,0.7831519971583227,0.8808962804026403,0.9685600069536086,1.1091501095865488,1.0477656298488573,0.9003073823114849,0.7703723695560454,0.7221564183849732,0.6317782183049866,0.6953914821680567,0.9536865320431666,0.7945291040056093,1.4004238238054703,0.8577767416603401,0.6521192278934271,0.5903408635230333,0.5080100496071119,0.4945842171310917,0.8373283513688375,1.0659081659173344,1.019801598528266,2.4553834991048187,3.213508826641163],[0.48060567417000843,0.4276083753555587,0.5659380634656914,0.3425863177007029,0.5212744064699748,0.3984512934606374,0.4116059480078958,0.41638795360509967,0.4881874030100129,0.43667358590120997,0.4430865250019862,0.517824312863467,0.43614403238167576,0.46709782269457706,0.5020751136205786,0.4874365720219701,0.5263815952204073,0.5623860973098184,0.6585805506968678,0.6414518853377564,0.7348373991686226,0.7262103770631536,0.9331687108047471,0.9640508969191238,0.9659534821108394,0.7996225372902427,0.6344523553955032,0.5642886872619426,0.5305306388069271,0.4813563419810638,0.5207241699821437,0.4823995083121661,0.5088364145168026,0.49977257342394815,0.48638882661962357,0.5519293451625269,0.46324664290784506,0.5386333604671399,0.5094747910089803,0.5363760263969941,0.6959604143353918,0.6868214411130603,0.6760002438254522,0.8725985132443401,1.411298809329986,1.6865729620509602,1.8717429248115807,1.1677855800947632,1.180303615071466,1.4311663452018193,1.1511785669509407,2.206980963477778,1.3465916889918232,0.9891545679914164,1.8543826210659373,0.7564518937251794,0.840447284368771,1.0749282959107966,1.245358964837462,1.0682233519320632,0.7693158545554784,0.7965131013094495,0.8610851544750087,0.8632866749033183,0.7373549779557844,0.7354120209679494,0.8883762364402191,0.6645716553872008,0.8551347374633937,0.6949423297147905,0.9340000271918336,1.105952454948772,0.8502557904902746,1.0725894088009285,0.6339769854839961,1.0386275581515338,0.6279559416857736,0.5704977430012991,0.5738293821911791,0.6194466482439683,0.5345958803140143,0.5989990558075553,1.0101918004999142,0.5400597950725069,0.6004146887019935,0.49670414091541804,0.5463945774374687,0.5720651544861994,0.581179696980711,0.5381223022242111,0.5552139169638823,0.8013504332046548,0.6500093813282715,0.556575437774243,0.5231394766891638,0.6448854330847223,0.6500605854506563,0.5338921385300816,0.48072389730402004,0.7129485866045275,0.46519827700073163,0.5828387150122372,0.4318528456668245,0.5116501325849232,0.6051636197484175,0.524046871942574,0.7082594906058399,0.580636805273405,0.5366763404917481,0.5760054472791079,0.48668171680717526,0.4407901102596768,0.4112127008269985,0.4729492693930456,0.45029580942533526,0.517779052416478,0.5834847429469121,0.6283060534447042,0.8055081479917436,0.629921926295535,0.65260808247587,0.5656391252098135,0.6033538302920839,0.4893864460267239,0.4332950752456345,0.5041164137930613,0.537263060350857,0.4537101774397279,0.5247015054931015,0.5469271692202131,0.6343849965186327,0.6719553721390137,0.6270052238860768,0.5902395345045228,0.5840413769199632,0.535728357923512,0.6907782644014941,0.6071121415331017,0.5374658642423161,0.5121189970265226,0.7285722344586153,0.8624437775920736,0.6844633954688638,0.6605342931073552,0.587735126405024,0.4871786245025809,0.4879835445250483,0.4865405373707562,0.42694781269111376,0.44144886556961527,0.4965104389085475,0.5239896093375821,0.9099156136313807,1.319524451166208,1.2269117332795543,0.5099293579121512,0.4261871755914157,0.45180814180368284,0.41991079631903333,0.4980245789476983,0.49478671424602294,0.4890773745489182,0.5197698875282826,0.5677168317259589,0.574359421065222,0.7232963332630001,0.6808645445047207,0.8954387504658908,0.8835869177360204,0.8254074412045008,0.6697547244076579,0.5706355521032425,0.5519711497108258,0.5449196671567964,0.4869724044698603,0.48135681455416013,0.4779102733331605,0.6690402476689862,0.5075379997427096,0.5291951270840605,0.5696072796419317,0.5295340332873434,0.5829013600029912,0.6547314297712525,0.6499985639643306,0.7165118271122112,0.8178739033120398,0.9456257222685283,1.9565841340906818,1.071553656733997,1.0564103559300477,0.94909438117189,0.9013430351717449,0.8733937416173229,0.7529454448855075,0.8115890846411951,0.757138412834903,0.7157620348823733,0.6851630474645215,0.7119741875646076,0.5796420814898097,0.5708991325661714,0.56342407487341,0.5808957087963956,0.5579150736627979,0.5813523810554924,0.5967933668049175,0.6263443555926025,0.6719448356204187,0.6524429415995336,0.6714193061737453,0.7839013147391323,0.8575036700188041,0.7612059340256874,0.9056853969554898,0.819414612025901,1.0497396281601756,0.8584419429857416,0.7483541721536642,0.7291122672413101,0.8139331543285279,1.4194080825042248,1.091514901439609,1.4734403978305248,0.9276257342456904,0.7152347538915796,0.8739079692389784,0.7867822223787045,0.9739521290641057,0.6993997815746611,0.7544203482541366,0.9019063885744367,1.058024316088503,0.900104141281527,1.0017281889960974,1.2363873349187773,1.0283261597058384,1.1343021249688485,0.7735995590349003,0.7280264738055366,0.6405002064444308,0.6401204379595701,0.7276410449931714,0.8631366947044022,0.7868863876855631,0.6899594428770013,0.6396482510861192,0.719115298997228,0.73467232943731,0.6561303701844515,0.8077784151221973,0.9334906012368738,0.7870196125706262,0.8408159619646056,1.004715641674154,1.1544049606496525,0.9143236373353162,0.9456384022977621,0.8243137067686543,0.7822696439271026,0.6694893601275567,0.6461297564780877,0.7512764948309906,0.6434371007284628,0.6359571678244745,0.6770600620133375,0.6923360055525466,0.6484548321622169,0.7165994042628843,0.9632163189068053,0.8040206512160782,0.9672501479643922,0.9721516732646098,1.1761033869945876,1.0295802640397225,0.9382363125359129,1.125308108625242,1.1036330151448015,1.2279341641521861,0.8606113965341295,0.7455056743812833,0.6794277066150816,0.7931077445064066,0.8663077429388538,1.022143615433846,0.9663099095292688,0.8112937524061189,0.6847724487016973,0.6342059467412878,0.5723601313857885,0.5992180059646175,0.8261026470339591,0.7123687818137158,1.4479082642436223,0.6939920061343292,0.5483065924009751,0.5105581119009917,0.46353061256907424,0.41919538642872306,0.7766609296169736,0.8453929650437112,0.8710483501519101,2.0197579796548815,2.8351985703175706],[0.49767905056952916,0.4391496669673136,0.5980631878988705,0.3285063285089358,0.4965780502118559,0.44967207310588625,0.45260119353971845,0.4479564731084228,0.4920858876248325,0.4318855999997401,0.4370136374511917,0.5358784315391569,0.4227643985036063,0.4313133070012564,0.4524099761705906,0.4615731427364462,0.48426674736252834,0.5130406333508754,0.5607349876181991,0.5492245877147759,0.5976166787248629,0.5637786559603364,0.7828743402548646,0.8089415751652933,0.8433705465614774,0.6547743254724973,0.5281004177717853,0.4942643535953457,0.48109534938815895,0.46134194480476876,0.5179865711963759,0.4939761290233953,0.5233410229576759,0.4969596342810753,0.4852547904933594,0.5169530419824432,0.47651036748973613,0.5003434163080773,0.464273975097628,0.5005751140970326,0.6223091592020045,0.5898810091139218,0.5664219010480614,0.8010937282479039,1.3161006041939405,1.6606094772562647,1.7860400806182215,1.054731858432348,1.100905828771526,1.324931448699005,1.0842310653195175,2.2701927437111755,1.4045641797800594,0.8864044214065396,1.778036345650014,0.656732574473479,0.7952533161634993,0.9584500390483227,1.2040434078196662,0.9366220067054305,0.616299880959825,0.7676130496295057,0.8153208984889168,0.7354015546230682,0.5671000405009744,0.6270058157144042,0.7892591955106979,0.6114254039194368,0.7531929874774721,0.6542334277787544,0.9264908239343319,1.1347260890622461,0.8429409338906679,0.9646905438119516,0.6156912415321247,0.9592115828893576,0.5910286630965004,0.5363508783275277,0.5380655413962243,0.5539246833955028,0.5008389409346548,0.5531600363134489,1.0350418390900828,0.5193783615100829,0.582194104947454,0.49545144843104094,0.4878465208867377,0.568377870088868,0.5167515721447735,0.5607803251581386,0.5414685929777135,0.7239186040084711,0.6000362089742687,0.5154719395758849,0.5034125045160822,0.6052166534593957,0.6519434374881752,0.5293844654805469,0.5045256604645345,0.7612886792358661,0.5088316909073695,0.6278500716364699,0.47559385518328096,0.5410561893591709,0.6453909672114765,0.569384808558237,0.7694886706985871,0.6099406003876399,0.5758289443251937,0.6157492040219122,0.5396934775663503,0.4922630346337569,0.4407363467890775,0.49944044309326935,0.4400834490992582,0.49778842989964855,0.5425706663272051,0.5495170968123456,0.7121698030082877,0.5724460871925618,0.5909345488946817,0.5240666365425523,0.5651069062229338,0.48411590430909357,0.4529106721318945,0.5404294714977909,0.5523964841622082,0.4964871561158235,0.5598125285051732,0.5705202518055918,0.6378996252908714,0.6950926554864093,0.626366302091451,0.6172763443305052,0.5881601365538781,0.5579616330803829,0.7132012399975887,0.6028779766010381,0.5436523993027047,0.5068484319922868,0.7140762820751093,0.7915683591527475,0.6138694850183052,0.5922980198649624,0.5321097475371094,0.44786489701244875,0.4529662093733126,0.46943645059324945,0.43743957763286984,0.45337303990672567,0.5320382206217334,0.5346887033655604,0.89930283160228,1.267080821063893,1.2147840363128553,0.5752112682961135,0.4655264370510252,0.4890829583939011,0.43627832019499785,0.5252101291702915,0.5073324021335709,0.4731805042268423,0.5105830599836036,0.5340548564996878,0.5750815274022147,0.7504003604556033,0.6501372679450302,0.8404946170205367,0.8508786581699213,0.8030488085522854,0.6429629907234237,0.5729805898378865,0.5746172791059198,0.5350362035916156,0.484698668860796,0.5018090253615384,0.47142098645285385,0.6762378563388941,0.48691582336804595,0.5270222562312118,0.5468655600408366,0.5527420205984083,0.5969022272721696,0.6471626099238986,0.6295245133890432,0.6325631037135901,0.7376490947554906,0.838701464773988,1.9273660232929741,0.9795844591841248,0.973631306532042,0.8886591454968673,0.8547573706194703,0.8367377420564136,0.7197021735799339,0.7530002186374827,0.6984240469971553,0.6922704760546426,0.6831864261203736,0.716204112127099,0.5957483934372594,0.5879395438949276,0.583278479108588,0.5973602125131535,0.5686755459046172,0.598935732539552,0.6074531615826625,0.6271746010178562,0.6709291608745018,0.6529971988604364,0.6574861196004553,0.7557899817167226,0.8451708300468762,0.7454960338962012,0.8667053928242777,0.8060076883254884,1.010320788356502,0.8512820160916312,0.7189678634229094,0.6864662779668667,0.7828030428919361,1.4662905325878268,1.0714201352537511,1.4783341775537935,0.8919332652922466,0.7134777117524401,0.8966791850954509,0.8049059662557538,0.9759052867152568,0.6940601983311405,0.7517975464357698,0.8601168182149946,1.0277481051531574,0.8823462106914504,0.9808190116532852,1.185510493651652,1.010730962063052,1.1147959978504764,0.7741409680956038,0.7215109072567814,0.64539380539716,0.654681541496063,0.7323690353401514,0.8853914464503508,0.7849311981974458,0.7107496006916901,0.6519420849163319,0.7290711693830454,0.7459028181716125,0.670727770861715,0.8096559583902071,0.9303186502076077,0.7882245508775552,0.8298803670450028,0.9831051090448943,1.1456179465171035,0.8889980465834594,0.9062311602548192,0.7966152149209984,0.7669521415642532,0.6774201888452706,0.64864761673132,0.7345119422090843,0.6388652272744506,0.63731422678652,0.6534719590229718,0.6685416568831669,0.6489117392930325,0.6933814221746023,0.9192872133333813,0.8010217254256353,0.9591147942079234,0.9397086080946493,1.1393283106183771,0.9986917958214256,0.9412886314430472,1.083942397616149,1.094652679032846,1.240301514983749,0.886119284213719,0.7589838473437635,0.6851809452921074,0.8604845189286792,0.9171554194193411,1.0422178963493882,1.0038772071332407,0.8290974075907357,0.7051696169721247,0.6409073320294748,0.5929334237182518,0.6370144809591228,0.8948856156497174,0.7518577445501794,1.421043095684038,0.7797686029445615,0.5882476298419681,0.535028636638388,0.47775551368162383,0.44171899829307093,0.7892570807805266,0.9562301311728072,0.9140088026481548,2.2335338121856845,2.917052266351075],[0.3982081166724389,0.40910172874232187,0.6792159941060819,0.48854191225339477,0.5829302723787798,0.5644083711780399,0.5751498757456605,0.537988262221501,0.5324512297110593,0.4826497924132288,0.453266082154139,0.5598400725412058,0.48839140971008416,0.4479988934501455,0.46984660185461075,0.49518288746951045,0.5351211195011653,0.5437570801625782,0.5644251723035973,0.5814027245269944,0.6034413318744029,0.5861961815538957,0.7446563094994645,0.7790680439424915,0.8291484521259851,0.655094197760015,0.5597031648679547,0.5355747988993876,0.5313392952205824,0.5231667969343233,0.5466316049653112,0.5400869611557363,0.5644212412442223,0.535869572811991,0.5458371102357608,0.5708504470167046,0.5500820738375534,0.5681595027764412,0.5357573749397229,0.5949284799791646,0.6734806735323731,0.6078646624415847,0.5841385054412637,0.8047123523797729,1.2340100211420562,1.594335048297982,1.696907630968864,1.0197773673981707,1.1036534109958844,1.27884772030906,1.095690264976677,2.4645936088335083,1.517011051735374,0.8935076214887029,1.6473609933484825,0.6299412255253549,0.8889471701117994,0.8630674180391377,1.1509560504041911,0.9469697448061049,0.6342791301582855,0.8183346302883862,0.8595393808745914,0.7468431644873536,0.5779616984421828,0.6464093426963029,0.7852374854681993,0.6307131689064017,0.7376983748598511,0.6497684374456384,0.9025467853958402,1.1130123998711379,0.8190874970189111,0.9326591073238193,0.6186044444460532,0.9572244639799112,0.6157951726097057,0.5672565435908429,0.5850713192175022,0.6023283533274072,0.5627966449862528,0.6289744501933695,1.124015753606718,0.6111117077349588,0.662654623782373,0.5788731896416542,0.5652872245964297,0.6314638868210393,0.5718424210364089,0.5959765746917166,0.5667530934904108,0.7170496245360797,0.5993871186337136,0.5262028173455634,0.5204837995472034,0.5988886712579023,0.652270163688701,0.5548368443046443,0.535470178037136,0.7560646161061414,0.5479923506364869,0.6649657058485511,0.5583615837043183,0.6305565841005001,0.7427552150438786,0.6604743729934848,0.8398415722715282,0.7310672889654232,0.6957294487568264,0.7269694918058539,0.6452047105364692,0.6182114052758407,0.5683338146128507,0.6091147122200663,0.5279916579546603,0.5552805990939219,0.5821722249928701,0.5651887205059484,0.684161547127991,0.5677739974487107,0.5809538141332721,0.526049945058534,0.5718584232933571,0.5418402068104599,0.5530292668766659,0.641234561729361,0.6399334686052932,0.6292800772295846,0.6835437772010284,0.6853013837536608,0.7403684078894956,0.7738176526081723,0.7364316693767774,0.7308268235213256,0.7116423453049077,0.6894164151737616,0.838210988578796,0.7072210433603988,0.6331079848977577,0.5958850318601799,0.7508788680047812,0.7982571091626187,0.6459691827551527,0.6354396741931116,0.5613250307094373,0.5185857744644913,0.5276068982836309,0.5641786963854256,0.5532779770732805,0.560396545028566,0.6084077369527137,0.584902269799373,0.9380694362511895,1.2701630153928323,1.2205479931961554,0.5964555184954256,0.5152203006014826,0.5544887548432869,0.5194193061779515,0.6449897784374723,0.6256400642934781,0.5685367062773535,0.6038840023511958,0.6385205170705315,0.6943615133949385,0.8125453172302516,0.7632345322510863,0.9191514731695782,0.9474234440662922,0.9009171565199311,0.7618783051525398,0.6908884992653642,0.7073517654349323,0.6392023631099317,0.5942633633912765,0.6040085543944531,0.5637297554231147,0.7536492138783267,0.5882638474947999,0.6345975443511729,0.6379869521136364,0.676221686028015,0.7214558269405713,0.7509848301648129,0.7485613674580867,0.7099157553611385,0.7856790484760428,0.8708853376036813,1.8916088422174828,1.0021238133644776,1.0290592063125852,0.987507639708224,0.9599590329426272,0.9378037743165261,0.8032995061667219,0.7916377318392281,0.7833853917803199,0.7522999997519182,0.724826688328576,0.7908954836833842,0.6604514862390747,0.6668701465520069,0.6684006554375341,0.6394737067401346,0.6129637933869182,0.6605554237199259,0.6460295012618958,0.6293934563739794,0.6719224574654723,0.6639497814533752,0.643048314875277,0.6984070144779457,0.8077780606545063,0.707979733762345,0.784919274640651,0.7732777551902917,0.9061256214700251,0.7980869978380518,0.698885218409712,0.6393639103488744,0.7049777698317552,1.5453579089019802,1.0020680862391678,1.547748221395365,0.9187461735618788,0.7279329337933342,0.8773813404598053,0.7920591949987463,0.8982356609920666,0.6646112097172947,0.7513484911537099,0.7848465201793189,0.9330099743013467,0.8214726589451556,0.988341069673703,1.085070407603212,0.959034490166913,1.1000038607034588,0.7614076015120397,0.7852939871881582,0.6891237886318995,0.7160758845291446,0.812068035172624,0.9486907028084568,0.8856667471717233,0.7995867907253975,0.7119116102881256,0.8005557356762746,0.8331202066204451,0.7256527737442839,0.8177557185157184,0.9342118054834507,0.7812565802438561,0.7933916105405676,0.9415352296860786,1.083462733291532,0.835898121742737,0.8430876776878926,0.7433270408052622,0.731590817155785,0.6844000334025919,0.644364514308813,0.6837451767701663,0.6313480430737834,0.6534262693042001,0.6297498858535842,0.6478886618937474,0.6404178997948204,0.6573289683391821,0.8626743661500805,0.7772988253151102,0.9069014038403909,0.874203198837163,1.0599131472229442,0.927865658010359,0.8917260346391496,0.9914725368931518,1.065682791271477,1.1291114622430394,0.8539192003146591,0.7387928761500142,0.6699545156328989,0.8660185282206592,0.8891251413091985,0.9897340922752625,0.9812509429914057,0.8046170764835767,0.7595434812167533,0.7130910521185592,0.696011155708937,0.7114647947627063,1.0175034124068958,0.899957095636494,1.6524915307492996,0.8766733523425164,0.6888274314999503,0.582039803752661,0.5459933833316498,0.4743066664350334,0.760268092164178,0.7430668526239227,0.9611550001014121,1.7656325962497925,2.3360647067608404],[0.5689003992221258,0.5820305206892036,0.8415246505609913,0.5716996069735268,0.7096005339520274,0.6304356127425031,0.6488858806660227,0.6243107524095288,0.5840455509276227,0.5830320148240687,0.5556942672317822,0.6082364219284269,0.6302199700699269,0.6012687243928738,0.6237665124609267,0.6682885722088594,0.6625443891220315,0.6765507446485838,0.7151823333177264,0.7332195461162715,0.7453909687395456,0.7522499226868644,0.880145274968078,0.9023725296798024,0.9605661036996784,0.7756138885797078,0.7336028538388232,0.7062511311434408,0.7038976589597391,0.6704539060758336,0.6976424638391813,0.6759423238778008,0.6474333096564698,0.6482173233474189,0.685303656213377,0.716234039526034,0.7063276482639353,0.7506350144769902,0.724210115188105,0.7673564940311768,0.8347837031072723,0.778595242422812,0.751351153810818,0.9274953357080751,1.3733652775567788,1.7352159112608487,1.7850374189024416,1.109074297419938,1.1512319362375376,1.3578358200120542,1.1925180861907796,2.2960947004636023,1.535800360236548,1.0587543762860268,1.956514057020859,0.9057056769462076,0.9148170738513248,1.2322676863163398,1.467300730219011,1.0198782801008277,0.7854868576298127,0.9409512981008358,0.9584907057187735,0.8213353064296003,0.75039289042902,0.7830800199520319,0.8660628786594318,0.7445397672138344,0.8114715512586677,0.7344190096388032,0.972081336016343,1.1253199336940811,0.8683250630296683,0.974367190620814,0.7587243521263085,1.0328719421501564,0.7466299997734342,0.7146682171827932,0.7282776523318167,0.7739807978412864,0.7479902365169272,0.8014303519218483,1.1788369961129062,0.7731457069210208,0.7823613705780146,0.7503363318230952,0.731458634819434,0.7402079939062677,0.739316141497121,0.7305330795056018,0.6888755770870663,0.8321717058950097,0.7046583181838693,0.6431145884092136,0.6439601302294722,0.6804256769727688,0.7167445985642139,0.6383472095596768,0.6112267515704397,0.7323540930748645,0.6578266797446543,0.7820086721764579,0.7038130764146966,0.7760741663572616,0.9153486275852745,0.8079404142043783,0.966028050410674,0.860520230434789,0.8264476630754569,0.8449092900408813,0.7804162921633088,0.7386576143768967,0.6716896726995355,0.7310357159058299,0.6530523762752215,0.7003890801077797,0.7547035011987245,0.7090007777312681,0.7837238734586501,0.6957726761278117,0.696371322166584,0.6622006056159432,0.7024053141177992,0.6657058405645004,0.6613883310997881,0.7547996205670696,0.7612467997296791,0.754030855728732,0.7977885302940134,0.791342753745914,0.820523321179066,0.8686185113912486,0.8228636208929527,0.8225803542657406,0.7944408026330206,0.7874238464454913,0.9044059749057244,0.8165524033129347,0.7979752237484691,0.7565618721524117,0.9087049064059981,0.9379245109044171,0.7997988776501924,0.7963136615015368,0.7644229191361134,0.683123835074634,0.6909905576567795,0.7002611612312626,0.686164725212087,0.6642157102786395,0.71833345583568,0.6462348774888989,0.9343296362680331,1.1732789799565193,1.1151889614310575,0.6504899634553031,0.6213668124204061,0.6794327431169149,0.6740901532934008,0.7651455958092469,0.7563642371809678,0.721612764255139,0.7731697890561375,0.784344949503786,0.8418050820705302,0.8835362551604966,0.8662108943744601,1.0217018123755248,1.0555630075932436,1.0192166195487256,0.8624560789689207,0.8034572170672709,0.8334757400220207,0.774393728669758,0.7387996643368641,0.7798370343555052,0.7130924468385703,0.9125627568621187,0.7430103060630927,0.8070982150344868,0.7785149049447528,0.7979055868168594,0.8197783186513279,0.8498762199456694,0.8402448072981668,0.8399187307016632,0.937483199310057,0.9901503289519119,2.0464370596419763,1.1049701759259243,1.1278327315195578,1.0206483533393784,1.013866940665939,1.0000019640386322,0.8875140974655118,0.8717404647707259,0.8314951540205932,0.8269367996784894,0.7928446278965153,0.8651117541889014,0.7508234401465246,0.7699076818737605,0.7740477143907204,0.7238964752027278,0.712082458195009,0.7706943659040931,0.7356029732383583,0.7153734296423139,0.8007696221077782,0.8219912568052512,0.7794108041047316,0.8608358991999794,0.9816003078742513,0.9509805493953996,0.9959206794718287,0.9217739176802016,1.0195796105109427,0.7987708264304604,0.7483214437731419,0.722045145917955,0.7864204338691979,1.5497528464331214,1.0290828494636701,1.478452781764099,0.9616118135153702,0.7649343305513059,0.9338321788986635,0.8339088437447203,0.9593750454074194,0.7385430396613133,0.8354194632481923,0.8451486153963286,0.9776468098101427,0.9024563454826168,1.0488968894840012,1.1110437224787375,0.9483230790235111,1.1786077364683862,0.8324754454651678,0.8706989004512249,0.7833594150344168,0.7844308247075024,0.8936056281613397,1.0084277013916219,0.9371888155985136,0.8803610113516618,0.8085794844137604,0.8922669455206397,0.9417848657427608,0.835448880363996,0.922912954555761,1.0296252574652447,0.918092542738845,0.9142043717384742,1.036065297854762,1.2059270041907455,0.9761843716475009,0.9698407489415375,0.8644784977817673,0.8437529186353746,0.7984760346431922,0.7412997395489634,0.7815992386802557,0.7250527080685057,0.7252555549236431,0.6746365964364621,0.6870556056853645,0.6735400359678191,0.6972287473178626,0.8828564781051638,0.7689995298297034,0.9176811517811482,0.8685212558103937,1.0434162072736723,0.9055178726021981,0.8534220804255513,0.9301205319553241,1.0384493821958378,1.0678955541864674,0.7970287031163473,0.7521982282705201,0.7481195976922217,0.8148817845660566,0.8785419561408344,0.978032061084062,1.0110527675534762,0.8493187375340794,0.8363973821910395,0.7989608929354396,0.8007315432299265,0.8422297423149605,1.0787947776258267,0.9017844397860858,1.4593383540250526,1.0510811367448096,0.7655663282517877,0.7087631156548229,0.6663918723377946,0.6480203803972406,0.9813819415731424,1.0755943715997507,0.9931076356099174,2.0851964317250733,2.531306511470185],[0.2869384293143111,0.3225472294379696,0.49243555615248985,0.28572944447031595,0.43843288043351364,0.3737092015588605,0.353548794535752,0.34385883664532446,0.35542427913584357,0.323180873061874,0.330909653473901,0.446808873566506,0.34535969593864035,0.3309452236978979,0.37057739419261626,0.37622979806331663,0.37445928940642176,0.38233884127390394,0.4211117441690402,0.4152450108467114,0.4173175062934198,0.4614646694383915,0.6500676175099434,0.6387532846108293,0.6911467754972842,0.49709822869969583,0.4119483632121463,0.36481709714795724,0.3678181970785218,0.37419741663385053,0.41051839898683695,0.4183042717519343,0.463384365583105,0.41371171106133375,0.3914404650557337,0.40781812515565025,0.4050400293237606,0.4234637551363712,0.38044150218782785,0.43333065839630064,0.5841246204350311,0.5233292424994003,0.47065527626902587,0.6991300745304161,1.239574449634953,1.6677183890860885,1.6614126391488757,0.9480904181130173,1.0641153330648068,1.291485890282779,1.008193415841629,2.2381393118834505,1.3835639975052296,0.8017598966757296,1.8324136222459384,0.7222137960237891,0.7119789667998137,1.0006734775791615,1.3741271525171328,0.8498442143813876,0.5924664733757301,0.7816390278855159,0.7228461662837371,0.5129260742136966,0.4564896970533947,0.4910639441702985,0.6103354896635853,0.4493102629443942,0.5795217773670527,0.4947217512150872,0.8019931650506161,1.0250548026241542,0.7164566866613546,0.7448462010919784,0.5184381137988695,0.8659491239433382,0.4322374026645805,0.4299201499535655,0.4298025381113682,0.46817162825056613,0.48916828859955824,0.53282636392622,0.9856278708422116,0.47973358064156574,0.5095204908473283,0.44570691537890855,0.421342483222063,0.5321598101154065,0.4191175527812678,0.4745852971092334,0.41725269309710283,0.6069243339730439,0.48359273126611607,0.4085736178804454,0.401735504035984,0.4859738567530006,0.529815298688397,0.44457377629505984,0.4277595969678828,0.6815574477788443,0.45581030888151514,0.6031734914414598,0.4117606647436163,0.5245550165641081,0.6048381192214769,0.5280603087669459,0.7780785734046298,0.5527910648517623,0.5470197628017082,0.5879811126261782,0.5219209811029446,0.42161800609925054,0.3622898172654927,0.40237554483006766,0.3219677029733452,0.374369451137392,0.447012876014663,0.38835998691756884,0.5131488035186311,0.441146284068742,0.4318152737141098,0.39287331504111445,0.40262264149402094,0.34294634557768083,0.32983862413847165,0.46069915304992304,0.577583231613293,0.42157028411449543,0.4748869006839213,0.4796197034709457,0.5122696164825101,0.5971321750613883,0.5114709079107107,0.5607399252186847,0.48132795427488406,0.44925081320332444,0.6485783069098691,0.47911228634364866,0.5167191987950706,0.40160146210855846,0.6281851024633442,0.6035708396712592,0.47116482526032244,0.4766713144690963,0.44213692322991893,0.3660598156932019,0.3640785758848041,0.3944143287364819,0.35706982713922786,0.356859550365478,0.4750305333673118,0.41594515985072084,0.7980248840109135,1.162819937881863,1.0891574565596533,0.48634026409362424,0.3948665532046104,0.4384543911277687,0.3727885368751888,0.47585943132420233,0.4060328241125984,0.3892397748673008,0.39834769203448855,0.43223068617478044,0.5116650185950591,0.6172140139716618,0.5552290527093939,0.742447755461133,0.7834536269037345,0.7652746971238861,0.5585605788432806,0.4468198982046172,0.4718097836084335,0.4642815105373765,0.4119566126650378,0.4554412288923489,0.4338951611309623,0.6722569595365304,0.4309661026983928,0.472374012090524,0.4857562018993292,0.48128460668238127,0.4984616518306618,0.5386908334187938,0.5406708685476019,0.6112434925572511,0.7319076031793107,0.7776695455006527,2.0265004734069643,0.7911837963622181,0.8929707311208064,0.7127073211663124,0.6979153277395119,0.6857176065339925,0.5729916774134823,0.5777847586568317,0.5786201010756642,0.5328815317957402,0.5375367222918147,0.6066596453549001,0.4887394332604858,0.5382163984656899,0.5112780739395963,0.4952432945642246,0.5010005552160866,0.551884697615898,0.5502297571573816,0.5380678193057246,0.6014410360353427,0.5895420844817325,0.5802634777267842,0.6340405585668382,0.7584897476777054,0.6582576432559806,0.7209052456576951,0.7401442829272891,0.8486182095892565,0.7530157284589323,0.6242620896641261,0.5769961921231912,0.6284569431296153,1.7178488525087539,0.9488709850782657,1.5173264421588513,0.8931938332955996,0.647145773175598,0.771445316892177,0.7032692350863935,0.7784496879343566,0.5364238351132082,0.6532780385419672,0.6675485134329536,0.8401129218269595,0.7052394159880561,0.87865423811413,0.8883679104402715,0.8508629752082368,0.9923984591144899,0.6334165038718109,0.5804701143143558,0.5469459637662033,0.6290316674394559,0.7512161710890122,0.8837314009380267,0.8112994164813223,0.709295590788039,0.629474340185606,0.7379950766959738,0.7501942923536913,0.6355265778892965,0.7643703397776358,0.8842998525786413,0.7230378553405351,0.7287811350850314,0.8829760782289776,1.0284085476355522,0.783839467567184,0.7796427252749893,0.6908449688020639,0.6689250939105004,0.6019831828062191,0.5726697685480028,0.598853309543437,0.54625607216487,0.5599514474051717,0.5442014658137252,0.5781931210174676,0.5241378722670245,0.5511933676373998,0.7648235673569301,0.6867158278407729,0.7564399454269278,0.7393381670988962,0.9484443820954193,0.798959797607814,0.7957079412751364,0.8688292710265555,1.0378096171405047,1.0559190999328247,0.8105517129503312,0.6858818030380914,0.5877786701091513,0.9157614336376003,0.8156621793429253,0.8819192370508641,0.8955335043265119,0.7166089614713744,0.5992783357050708,0.5269866943777523,0.5023671573987614,0.5752512237183727,0.834109654798092,0.7438567599578362,1.4257609742313342,0.7067969656616749,0.5637859244477542,0.4798409839858999,0.38947443285695477,0.35965969599728553,0.7351154510214498,0.7617963546895417,0.899616773099448,1.665017513097316,1.993917078426835],[0.3245293039021082,0.23219513924938082,0.3314778846535808,0.26387918545804884,0.30554978513062164,0.3555220120555843,0.32498028601115186,0.34214144636871874,0.38688102241567107,0.36086914677075455,0.38305084996896016,0.4828558650863946,0.3664903560367053,0.34731580150958186,0.3996915067128178,0.3991792315348752,0.3973517426473907,0.39686277796420244,0.4141783955527439,0.4080683878285124,0.40158887344877336,0.4319989322556137,0.6256336644262636,0.5996060998948849,0.6400287269885894,0.4760015977942601,0.37341192473905616,0.3428872763233596,0.3559827953696128,0.3904191494864965,0.43081652695240463,0.4529006639946472,0.48318408785492306,0.454341485518819,0.43334400834545483,0.4151460904323385,0.43416000469974986,0.40646678619999715,0.343604754461388,0.3790376675015594,0.5613686092879115,0.5018921288913745,0.44357059224282336,0.6407794422783742,1.1443007261219564,1.6035675369515388,1.5280698514043154,0.8542639999465627,1.034813094828216,1.2022610330570724,0.94601053008999,2.289452180245072,1.4356951141088277,0.7548304996998302,1.754371818790578,0.6765942186634568,0.701198857189172,0.8901488877875214,1.3643766185852078,0.8069680448692018,0.5735588682588592,0.8506074475429785,0.7324214025027355,0.5163312316171268,0.44416767051218675,0.48313187281176023,0.6228193329477462,0.4741160347412627,0.598487608478158,0.5139752348053775,0.8324589374097118,1.0650616999581648,0.7482152892051142,0.7336451752157758,0.536260179787223,0.8312749508692112,0.43508883213514266,0.4365734532228555,0.43772301155396914,0.46506171028883464,0.5146697819954483,0.5359328270511653,0.9871641508922904,0.4695671590046662,0.48401804487547584,0.4315803548072667,0.4065973097360676,0.5578671535429852,0.4119181035348078,0.5124473361914027,0.4360613127197398,0.5756330519023886,0.490400014885164,0.4406995733122107,0.43104785168544657,0.4984658915589719,0.547348280442858,0.4587169722395873,0.4485455608040642,0.6992081035650654,0.4830805163444657,0.6363632136079965,0.443218155607979,0.5203263823260834,0.5422039551863613,0.49288722899524057,0.772620203606085,0.4741648391450648,0.48671370067186903,0.5655744935402627,0.4869671131012083,0.3777198947698306,0.3329877075779889,0.3531557718633717,0.3123312753589863,0.3409278509772675,0.4216062391694237,0.3654514616633882,0.48473705346247586,0.4442571493031498,0.4365556517828042,0.4011765131210727,0.374529492089443,0.32469017099049463,0.3092633409356835,0.39889593311610594,0.5328042771289234,0.34484632781783126,0.375283879743822,0.3902237714686913,0.39819639302941073,0.4938079863425607,0.40367724448582726,0.4831358766368329,0.41734919968955336,0.4071912275898661,0.6069642306964553,0.45353080852127237,0.5483141735477434,0.3698278214429448,0.5994362786068371,0.5264352142549752,0.41270691031167783,0.4203571290291258,0.3949428364424208,0.35257699311278273,0.33333027538176585,0.3561937821351904,0.3309451156259883,0.35770882733996623,0.4707850200735783,0.42320780774680533,0.816988764048088,1.1698610514759271,1.0750580932348208,0.5073557539260611,0.4207122708148454,0.44254189338122946,0.3866827442706704,0.45816833407540336,0.3661067640210543,0.3705462708249085,0.3383516260568444,0.36371021282563093,0.4699799529403192,0.6026950505091565,0.4906243935107463,0.6741779680754166,0.7209840834410253,0.7275893252043403,0.498861086029248,0.4191659833991731,0.4396173007358404,0.42432226803062567,0.3886269515743656,0.4134567773487296,0.4248982079838489,0.6759337236713521,0.4014743627913228,0.4442445612416846,0.43355301541763774,0.4248128882867502,0.42018263742426076,0.45224042872602305,0.4653243538678913,0.5555235917916003,0.6563897681553139,0.7185308319692497,1.9826228975442959,0.6673618889523816,0.8581566415400749,0.6436280746670884,0.6160791814799789,0.5830833091157785,0.4601949700883183,0.4695666707137136,0.5104260270695102,0.4088461276278964,0.4123065367246917,0.5036213387684099,0.38330676041957157,0.4505577610984318,0.3991145569113462,0.41337187510872536,0.4184499632076776,0.4483350675202001,0.503848334388009,0.4736683506907416,0.5270106735974486,0.49280813343047586,0.5161118186647864,0.5375172578568725,0.6311305819205419,0.5618838137149432,0.6289175002335501,0.6773392156278273,0.8314970986766448,0.7099292975592918,0.55215424771849,0.5389477833370238,0.5400825137031171,1.892944715149787,0.8807610037647302,1.5584397727603532,0.8492483272366466,0.6076162019983361,0.7172405197178042,0.685708398509576,0.6863217090855377,0.4470724842009823,0.5946109342063045,0.5855796163753058,0.7598471230947925,0.6040129159025319,0.8319427592753913,0.7277353035611067,0.766483794121737,0.9031435504763636,0.5405684167162597,0.48308216775083607,0.47495932975402994,0.5783617273367042,0.7196881718468764,0.8460181221509244,0.8122641556024804,0.6704855782221804,0.5813510017761149,0.7209982610845082,0.7221189696689566,0.5752783648024307,0.7299774963493514,0.8485426451221777,0.6542273473084421,0.6621869340409925,0.8323981743836529,0.9575034249942502,0.7048274437718373,0.6959052183728461,0.6179387709054839,0.5940305450595043,0.5386375545382667,0.5172801117818168,0.5400778167463547,0.4852143622325884,0.49586387660900016,0.47695914914723747,0.5212642514292672,0.4509693901565867,0.47582302465396714,0.6746068199599635,0.6205952561791833,0.645755047295974,0.6642259319941156,0.8617055932826466,0.7327673020950168,0.7472250138939434,0.7922801579243577,1.0105634317241388,0.9899418101062772,0.7857650936817246,0.6504427025660635,0.6049333040048451,0.9517179245514573,0.7750355623240797,0.8036504428976654,0.8037662063400564,0.6292300065487417,0.49158881788335584,0.4113878903220372,0.3986217387688374,0.46822674299734457,0.7225384115588999,0.7324375048765893,1.437425328765878,0.5442623694214974,0.547638603274065,0.4837560520024289,0.4029584311728294,0.3475917818699448,0.696234390652424,0.6279521783165861,1.1178830199799932,1.3823113925454007,1.67294281691076],[0.5266605935280146,0.3166899369849886,0.33599200673503893,0.2783682031977975,0.31410530516685364,0.40850414882029557,0.34846421382077686,0.412438854678312,0.40937671703246675,0.3575836379612081,0.39481552584393775,0.51452075470776,0.3851789001846063,0.3514754187610534,0.4397714496966344,0.43602410234502775,0.4052046466947614,0.4302055198077437,0.44387633716564684,0.42454586277882767,0.42408533713148017,0.43699742236611777,0.6243794043902468,0.5849927531856011,0.6216258276941365,0.47333353718168714,0.36517371340689075,0.3403667173727072,0.36128905651117427,0.4054669707323369,0.4591484719643158,0.4908316311538209,0.5170454057316232,0.4835737429137622,0.45272908065381706,0.4369460129370478,0.45074657088235265,0.40001257261832956,0.34048349979601117,0.38632479747573417,0.5272153808495628,0.478449900419108,0.43067764349221194,0.6236133774054473,1.0505357848226944,1.4990098261314986,1.4434301109719572,0.8232703788863699,1.0187215873149658,1.158257426475712,0.9510838725859081,2.4548135505902287,1.5207781978348291,0.7909459564706037,1.6027332937476808,0.5988083474725431,0.8100841588329812,0.7169607286943781,1.2188027978917533,0.8219652613159802,0.5904400334938583,0.8904974608653433,0.8198028634634539,0.6169072560533504,0.4725022516535257,0.5289519957454023,0.6654809431383206,0.5270731350685501,0.6587047955957096,0.5759865971491755,0.8875352844227196,1.153333105611949,0.808934474000142,0.8000133610854905,0.5684437922614689,0.8675447244232399,0.47915145687017563,0.4611810062318839,0.46233723857804576,0.4649792959955626,0.5111929981982585,0.5531671233548187,1.047866661797548,0.5014137440848807,0.5038809119227186,0.4532597514746813,0.41628058366853193,0.5839141421070907,0.43627048559894677,0.5123151423170677,0.4702864199419023,0.5976789138529234,0.520151511163043,0.49234050922284917,0.47570165846016094,0.5408384686037812,0.6014752217584257,0.5118432533951334,0.5101930037446377,0.8090732423425913,0.560140507479825,0.6564305812771896,0.49691731737226397,0.5653318690978554,0.5674543591193002,0.5540664418614565,0.8432267391702333,0.498693970610248,0.5028557661303177,0.6349086831031614,0.5123539412945315,0.4013861107524883,0.35503991263776524,0.3536525707693045,0.32370843466351557,0.3333171403937748,0.4038582389779153,0.3503763975783046,0.4967465754363537,0.45630122952794816,0.4483594521349125,0.3874004620853117,0.3749393999703884,0.32496311523729615,0.32686783124953805,0.37453330659639494,0.4818951033797,0.3652270348173913,0.3836409990678793,0.413498975902624,0.4040762275511719,0.4983016985041326,0.4097851487553339,0.5030561610643641,0.4295878755280253,0.4264423039967032,0.6164919503557783,0.4505792646415197,0.5347083600601423,0.3698722396145848,0.6026675144677247,0.5254849839821035,0.4192956650230697,0.3942667033029303,0.3503153319533476,0.33887323380639267,0.3142882077759887,0.3842494726360598,0.3680557974758318,0.41017818957520213,0.53057490724301,0.49777099386461,0.9131071345772823,1.224482235551107,1.1703715671962027,0.5866084042703069,0.4912070924647885,0.5122812577192039,0.4403820146842718,0.5111141292927109,0.37825015261110495,0.3844029594494076,0.3481620903326965,0.3700458879205171,0.4707551944139367,0.6100674086342593,0.49524270023819583,0.6729064787504503,0.7166075884024589,0.7201990928043313,0.502893570977708,0.4231902431188218,0.455537841561792,0.42484380120814735,0.41067948088599354,0.45502915578075126,0.4747370605968917,0.7261102432427538,0.4316718408098731,0.48782011606631204,0.45839798668122306,0.45666427993523523,0.43641686591817874,0.45862984126188455,0.4645849207822254,0.5690143592338825,0.6575471586587318,0.7342703513703351,1.9235754462511283,0.6623899390462709,0.8530334561234105,0.6784025915026142,0.6289266418945468,0.5945011703614532,0.47242946006899583,0.46738466826118935,0.5144046587160989,0.4092184124945387,0.4096803233199042,0.5041157792336295,0.40760500015627626,0.478402480654049,0.4088686091859332,0.42431165841519736,0.4477369033946641,0.46637429909279254,0.5174929011628439,0.4918742154012279,0.567262276891534,0.5113126104136881,0.5462913965783746,0.573359529656052,0.640556371484193,0.5909457941750802,0.6658148074461671,0.7005241388942772,0.8360052177527016,0.7666852696127102,0.5834037282628856,0.5737274979527713,0.5812410819230965,1.926487590119601,0.9575724018241693,1.632251188356013,0.8506257623619766,0.6556873625322641,0.7544772352731415,0.7196553519138619,0.7133417095871502,0.4731964295670166,0.6276863213128462,0.6013470017825981,0.786819891491019,0.6112326479527727,0.8250352163741153,0.7461355645028108,0.7763192152706715,0.886570522160283,0.5367077956197834,0.5131952699058688,0.5057312046674343,0.6166425570944615,0.7541710256719246,0.9034423322763718,0.8741632362547368,0.7176643181409438,0.6394226840747913,0.7883200645878362,0.7761599848894686,0.6082251146120171,0.7826803042282832,0.8893668428998278,0.6936107997856344,0.7335045055283185,0.9201905335409291,0.9938012400766417,0.7526054984571299,0.7673519109916493,0.6758182750430167,0.6557792817731286,0.5928502348581205,0.5707178464093183,0.5963573625211182,0.5197161806524718,0.5282721038319567,0.5043572677905365,0.5339366672339638,0.47688332336730904,0.4972784908917725,0.6866148535896727,0.650723121485277,0.6754452056314714,0.6883549275573038,0.9081822768508526,0.7632344293764296,0.7890671025014785,0.8414329366862006,1.017537648709472,1.0934712342186559,0.8505173277216374,0.6843582779281658,0.6334501758971399,0.9676106190505326,0.8120819950220067,0.8503787684617694,0.8170796430385111,0.6514956215977372,0.4982344380012016,0.4099716628552846,0.39622369528269996,0.5023713550969784,0.7409225614481375,0.8442166310796518,1.5183308004237683,0.5291658166118862,0.69792889250064,0.6205217708487725,0.5404340454621446,0.4734783155605387,0.9472859975667774,0.6257558582684869,1.0421981057836358,1.4741208916032018,1.908123857284966],[0.48155684957421924,0.4749531210251246,0.7180101932573167,0.31904927602191335,0.41018344200513673,0.5632502466413042,0.626550103458679,0.7119684507701102,0.8241856368709904,0.7862359016356822,0.8563657070063504,0.9051656880023983,0.8111307295303452,0.8100611434576226,0.881760320767553,0.874917403557375,0.8052150755396956,0.8361410208588044,0.8088588031717134,0.7813687430272342,0.7848629571065824,0.7700597486707157,0.8931862813440505,0.8187583953239215,0.8254026758824874,0.7652881455167851,0.6921693552132953,0.6998988931939593,0.7431320612394645,0.7758883707537906,0.8905165822900193,0.8758753218403652,0.9005872065178067,0.8922546734495438,0.8576241284113584,0.8203014912587001,0.8022588415653629,0.7395562964296699,0.688742696234127,0.6792896068629981,0.7395876505258119,0.778273694153008,0.7548438421773531,0.8081484317776326,1.0427419671448508,1.468016518460805,1.3585629350172876,0.9020172558753827,1.083179224801097,1.1645055761259158,1.103707970041994,2.5803926882352965,1.7086546892372572,0.9514446984407094,1.5639556213215529,0.8070359300923803,1.06151359408103,0.8247858419296221,1.3207345949776015,1.0037627538577407,0.8510682256797066,1.1706423530172076,1.1050723035756336,0.95524272028368,0.8045446199996084,0.8463333434091853,0.9810886864077055,0.9205203080323774,0.9856538801334888,0.9713723957789763,1.2245556083475184,1.4897291410736861,1.1704747845075822,1.0787020840361383,0.9387631760507599,1.0680996057893448,0.8615978451010131,0.874441836912557,0.8460620763665686,0.8157892543592994,0.8356295561689959,0.8361252430110996,1.1862463509744476,0.7635162506641043,0.7522011339591396,0.7506893402798187,0.7345000324179528,0.8532917889882732,0.8098385693356488,0.9063514260294269,0.8869548563327551,0.9453522830147163,0.9300425211231319,0.9401532390274471,0.9269638592130632,0.9665854748741564,1.0340988621441132,0.9297624127722877,0.911600391112775,1.0341168865915602,0.8624791035176214,0.9125012409492351,0.813108036734786,0.7951238085735755,0.7813603568905958,0.7654988761393747,1.0713048392383184,0.7165226708470809,0.7014639457761535,0.7759899069779197,0.6851555316925944,0.6067594937158015,0.6425412471036571,0.6263528695655739,0.6909712039832879,0.6498757384578228,0.6981467487368151,0.6425599919503642,0.7730565858807904,0.8366360991752436,0.7905435975715422,0.7734692164010123,0.6812685132967894,0.6531522243571699,0.649147257453678,0.6029880467617402,0.623146059573378,0.5561250039036763,0.5645659324957409,0.5958392801496362,0.5498824196820753,0.6575173438520615,0.5887866968434414,0.6558434338875977,0.6167540854824045,0.6189709594541543,0.7038340042960556,0.6144546710180576,0.7271318865861661,0.5992133836693784,0.6996204452361054,0.6766143114959304,0.6901333131104059,0.6541887002688493,0.6481895765713911,0.6843359960723501,0.6555408059349311,0.708574220058546,0.6805045780695687,0.7245340671815038,0.7585217697188122,0.7877582984773817,1.0182683006796693,1.2560463902718282,1.2384263394953323,0.8494915019586846,0.8144590763136345,0.7830844802647774,0.7578459782764346,0.7493807779619214,0.6426880036333185,0.704211456495727,0.6449983665692676,0.6714136618027348,0.6896142571656434,0.737133144669615,0.6455114311615697,0.7532113739571241,0.811300677664668,0.8190443733972651,0.644297674055629,0.6068719413669983,0.649964875895059,0.6706936105202905,0.6820936134866732,0.6990345098556455,0.7419257771191426,0.9250209921554993,0.6838389716435122,0.7339293102409266,0.6714636959792762,0.672771843437516,0.6269873776450546,0.6396440292091996,0.6583830044873848,0.7487226938661576,0.7533539213790839,0.8632351361460732,1.8937668420531066,0.7332000582467809,0.9562479049948239,0.7891147378124826,0.7450380344181745,0.7043056327546725,0.5995247704460095,0.5877507162346088,0.6802248372564573,0.5794530059603721,0.6298198666210825,0.6426503680931477,0.6699993800421943,0.6990574892084818,0.6225769430466224,0.7300660784410145,0.7512920532218078,0.7184745419239155,0.8491548455838125,0.8744605619863429,0.8586419332306365,0.8825159787925468,0.993571310282469,0.969021679172552,0.9395324344745117,1.1462499402178121,1.135195796507538,1.1326009959289176,1.2641586437716534,1.1617421651139064,0.9791453795488864,1.0135366448833294,0.98133220053574,2.322147901671034,1.2339448693569972,1.840079088827617,1.0040435902466063,0.9208563707403905,0.9802985108522028,0.9849735658863286,0.9687991071625102,0.7563264597480578,0.8600575617537537,0.7985474292915927,0.9015604492683911,0.776194392317864,1.0059435827551833,0.867227511196955,1.0168385716919746,1.0173314244321963,0.7811176305361581,0.6862231004433084,0.708654744212118,0.8172510281708188,0.8837006266582791,1.0551434704041014,0.9986102339249523,0.8784507757310958,0.8528617130707337,0.9155962258131219,0.9037818523462586,0.7951807911525673,0.9397609532951565,1.0026180703721295,0.8771613838272282,0.9410634439990633,1.050841742628221,1.0954857409500678,0.9579489597516282,0.9704785059416994,0.9429529404001163,0.9020955162088259,0.8303099610814644,0.8560923904711832,0.9310886537420083,0.8643635364633402,0.8047601177871242,0.8739710360990651,0.9111305216851551,0.822066555147077,0.8537777965570366,0.9854474154902135,0.9719803195695101,0.9251507991625497,0.9697724363184549,1.1680341066899798,1.0067679467879411,1.0482182662561688,1.112868895657234,1.2614057132019287,1.3954421492324343,1.170593378430436,1.034442100564494,1.0317804704288098,1.2344760358727591,1.0389639939740685,1.040340516319076,0.9765438605357875,0.8824573638865004,0.6474256769071288,0.6050052015074006,0.5390230485311198,0.6070524645405126,0.6266274872887518,0.7955641921938703,1.353671847825372,0.5941216390474637,0.7178829502793571,0.6545137677428529,0.7433289099791287,0.5543362455200609,0.9318265722714735,0.5921584184063127,0.8216803864908152,1.6236655793004005,1.7672357714090856],[0.6899567078354409,0.6433265476239339,0.7186208459568664,0.5589611725584925,0.6508206664994575,0.6899683698427432,0.6774177934067367,0.8064595637201223,0.7355730403163545,0.6602694629563934,0.7222123330334311,0.8729566729533872,0.768222992274243,0.6444491764800351,0.7951347510795697,0.8309988264727227,0.7325351378521592,0.7619245975000681,0.6963929552054899,0.715562754280605,0.7079741797194374,0.7429357384506261,0.809010463446201,0.7614790003557407,0.7912755217339223,0.6918229667534083,0.6553535038365319,0.6463257231335247,0.7222372284151513,0.7999238468659061,0.8539682050726075,0.9229912346014941,0.9595463872563827,0.9328082144154668,0.9277552826943943,0.8445575012003969,0.9000086518748714,0.7805629260543719,0.7421818428186714,0.8048469031515024,0.7988483424860293,0.7640075323329872,0.7670365575575663,0.8385156717297261,1.0242679207738559,1.4794253056813038,1.3876636158777695,0.9462402388806022,1.146973506920075,1.2297564644276366,1.211317068651201,2.699491819736254,1.8292310833032672,1.0652187854195099,1.5151249829916473,0.8836080080671577,1.158836055646021,0.829813207897518,1.2761134740319626,1.0651280821160407,0.8866734380661755,1.2167507400307516,1.1599045635174714,0.95001159063969,0.7856391525868375,0.8482752516149147,0.9454766776077714,0.8621198421871553,0.8819006832382431,0.8493778033135037,1.0673789268539382,1.350055523873853,1.0577904586125055,0.9905190704532905,0.8539974657878222,1.0600095267396783,0.8670924798920165,0.9099783566157111,0.9030831461587236,0.8794408319386553,0.945951815279287,0.9620024145484533,1.3623607278526544,0.9634839673164665,0.9095305588307739,0.8830031969974093,0.8154984663693505,0.9873477806631479,0.8522118280699386,0.9726090508570664,0.8940895530981604,0.9118658397804745,0.8983663274151146,0.9371462885911066,0.9029387096852884,0.8978665277180549,0.9452877381427577,0.9703671852926936,0.9790082560674567,1.1817432622694843,0.9866693178378104,1.1388175263280926,1.0209384012197846,1.0481563120349997,1.0469053522023608,1.017844184754813,1.2671559468577958,0.9591952328356145,0.9468496988807534,0.9899004126692109,0.8893120097964223,0.7839383042981378,0.7461146706143693,0.6824507671607937,0.6582414962233175,0.5879360063775259,0.6066339774340128,0.5490637013588213,0.6361510592717815,0.7118433639756439,0.629854432507501,0.6041158822424484,0.5403306199832439,0.5498207328930135,0.5929646348866079,0.6508508010587909,0.7551794879095232,0.75265499549236,0.7941847142418709,0.8476298745244936,0.8073205176168067,0.8939191849429813,0.8394028393682628,0.8877284322119953,0.8455289542922882,0.8060401264988806,0.8859422206658119,0.7349329600782941,0.7865059416466568,0.6588838496054141,0.7295321657426889,0.6678826390388005,0.6686691989379859,0.6445321590315175,0.6716145515396033,0.7043371093212332,0.6751922382115965,0.7635230159753087,0.7950684745011438,0.8060453085955389,0.932881869170123,0.9409696006351466,1.2365928844099294,1.396185033865866,1.3325786068354277,1.0462976167648772,0.9510138466374305,0.9758312011305406,0.8839095541327575,0.9671495875434621,0.7960177748681068,0.8090501731957823,0.7374655476554941,0.7875708556521475,0.8425127031466463,0.853866318161354,0.8201412596474259,0.9159727375309086,0.9758380911671758,0.9559677929949286,0.8209872681219538,0.7562945755877679,0.8236950085107498,0.8397335110484164,0.8562978239000988,0.9189776760399057,0.9038759089002337,1.1365818753120231,0.8834613219047767,0.970983524673704,0.8521909077234286,0.9037610611862098,0.8605398552110812,0.8629976161647505,0.8688463800692817,0.8761249412083618,0.859631707103494,0.9959794273175752,1.8998825169129483,0.8929804017248397,1.0403924177720096,0.965254041180831,0.9325289072074898,0.9207191827058597,0.8575184715635683,0.8184231088935309,0.8991357653655412,0.8086752135225794,0.797752438283609,0.8602177043726239,0.88391304380534,0.9520898522965023,0.8541314333607547,0.8613256760630035,0.900778833059942,0.8936453165172644,0.8959740884133212,0.9274118973720649,0.9648322749663951,0.9286820621262016,1.0052167580575873,0.9835713371565189,0.960824830621462,1.1528224775706415,1.185262274363243,1.166171907131221,1.1834779580182186,1.2054397158408,1.0483040717446894,1.020774393603742,1.003523858719321,2.1747628830440284,1.2806621870527632,1.8944479856981498,1.1193214565889598,1.073660168387753,1.1272386367218792,1.1319779662329943,1.0481829158381855,0.9650506622677847,1.081699531655882,1.0032067499222599,1.1314702380335808,1.0219454799241965,1.1932615073450732,0.9950362242454106,1.0531766500948918,1.1179774505306335,0.937112428083047,0.9453718991524431,0.9592198888121983,1.0436316575463427,1.1689001463098991,1.3822498669854717,1.3292823968016623,1.185194690258114,1.1678077740424977,1.329644496055584,1.2607629745452942,1.0727679980014642,1.2398816329196267,1.3192731208352875,1.0969963571827501,1.1406889553485087,1.3028400963323696,1.2420942048307932,1.026446447319855,1.0612764642580415,1.0092849075181152,1.0285639296725386,1.0372325941682334,1.0030163030203754,0.9819729031400551,0.9245732336685366,0.9810452251869296,0.9385028321333228,0.95877493173374,0.9223667815300086,0.9393902696358019,1.0571317496344506,1.0378043430867983,1.0065617136845748,1.0600546157461714,1.1989338396137996,1.0674179448402912,1.119297372998309,1.2346797352106667,1.3639276491387342,1.516967687118385,1.289361272257324,1.0785276702962436,1.0918990816618912,1.365400483430006,1.1584854016469766,1.176070285726821,1.0941852030279953,0.9706926140615479,0.8059996419227832,0.7910798112734,0.7452744055274717,0.9599075454297203,1.1154614982880138,1.302453306792864,1.6899543339531535,0.8805960961234252,1.22338644754194,1.0544225429328618,0.8324616145310687,0.867342002930436,1.5891833171126333,1.0830086526877332,1.669416667072958,2.751949857955607,3.051257172089856],[0.6150493393039902,0.40244043419287034,0.48651391555989554,0.3353741019532691,0.3363797332353724,0.4154709495300615,0.3828049745181506,0.49593710661370566,0.4597784665577266,0.4376123837369042,0.507843304403416,0.6352164421865745,0.5023293088719287,0.45223050426765393,0.6356123542713313,0.5841302110316451,0.5324941186289629,0.5641798863218419,0.534204788097682,0.53836378126655,0.5531731447789244,0.5576865841641293,0.6705354605142886,0.651500077931562,0.645511259935138,0.5488322985093511,0.4576215481378767,0.4499385985648488,0.5057398426693636,0.5487212141053358,0.6162508403436917,0.6638447505076542,0.7217446756154922,0.6887069895817389,0.6558265490267813,0.5872405209087319,0.6154909556494071,0.5216857936417826,0.4772116692774876,0.5049922707770973,0.563515217145249,0.5298529244789772,0.5281924272312744,0.6436827717325039,1.008102690223608,1.4695476260446627,1.3696067797271496,0.8351699840798866,1.0394426077039183,1.0960739830000459,0.9875833923358134,2.601414338534393,1.6620866811323036,0.8992468165894354,1.4847118200248928,0.6613785046795249,0.9861651288800024,0.6083387240511391,1.125955920939877,0.8487027842001577,0.6906094896300494,1.0393894998922828,0.9721065714801312,0.7942474465878463,0.6127163115504213,0.6636087305420755,0.8183761833217889,0.7094397319230111,0.785558795739249,0.711750298446594,0.9831666268301996,1.289824164490473,0.9473454764632575,0.921532117706098,0.6843654060818726,1.0314787179358929,0.6849988279404667,0.678255242202651,0.6449922892970946,0.6167469107635132,0.7038359142912916,0.7251900177860615,1.1784001074092163,0.6915581745164092,0.5881455165026381,0.5972393319229975,0.5602962553243978,0.7342723665351911,0.5962708668185659,0.7242029473214732,0.6769467870008828,0.7482276725884119,0.7071930298292608,0.7007364373933949,0.6614249771640348,0.7053640862327359,0.756590137083828,0.7181390395172628,0.720719039811082,1.0005937493975063,0.7338728815019926,0.8075740458863228,0.6806094482460466,0.6923408327511879,0.6605352074388287,0.6350498903508053,0.9902608010095724,0.6275553681089961,0.6317483880946452,0.711575827664513,0.5883982068727751,0.46118666700296446,0.42431853082575544,0.41978526369891483,0.42395098577628687,0.39087303205868834,0.4514007918273936,0.4016352470746985,0.539100177099206,0.565293725460925,0.518612248538891,0.4589720758666452,0.3919375922749824,0.3635266403436075,0.3781101431369834,0.4112321267987054,0.5193481411693226,0.4175647130237115,0.44559685557164136,0.4673042983869947,0.4316422640252044,0.5518130576767911,0.46525443022293816,0.5579720550219558,0.48759554624530044,0.47477915606334203,0.6611731447403174,0.5252877812509975,0.6249905167159053,0.4469357505640594,0.6403302977672687,0.5450888583695168,0.49073272911374755,0.5029474008713278,0.4432382806503711,0.47968664528635124,0.43908333744325323,0.5165981896460096,0.4628668906869956,0.48736125844273936,0.5966778667753568,0.6099135633565224,1.1100824261054996,1.307918956647592,1.158465927100828,0.7578668870033282,0.6616325640466069,0.6448828519861256,0.5966647733372116,0.6151554065282748,0.4761301887564021,0.49935435182789584,0.46428156256686093,0.49797321280719836,0.5680332134682726,0.5966355975332754,0.5270802886248036,0.6714620219566451,0.7355703833662565,0.7412145416115471,0.5408946422727631,0.4833766463373587,0.5281167687350282,0.5287289803834304,0.5251740058313914,0.5871666879472801,0.6082264973573979,0.8570784133209668,0.5780769749833545,0.6050971126451428,0.5547808681519485,0.5521187798773234,0.5295603870697927,0.5264648425417647,0.5307073865848594,0.6445173372803604,0.7013782130586119,0.794614769287973,1.9369945221398503,0.6499304419237939,0.8847721105835655,0.701241558684628,0.6422401498827982,0.595969013580517,0.504659918381404,0.4877370182667773,0.5687491362468199,0.46545280951435875,0.49058564668168103,0.5228566066796401,0.5404137111301734,0.5963574362435542,0.49562950585567483,0.5489827095131194,0.5864255320601792,0.565572051874455,0.6375905016881486,0.6535202522103101,0.7051589353557475,0.648970843785959,0.7394425383574461,0.7520173429533089,0.731178710120014,0.8501407647840149,0.9163188444323154,0.8902334156032369,1.0041751179532281,0.9627048014163193,0.8106266147998308,0.8149296674719392,0.8071310620404089,2.1255309155320017,1.1394952455011218,1.8046290127842937,0.9273275496113926,0.8622693062074488,0.9054002049430807,0.9173743314176207,0.8229484844970092,0.6411389669636087,0.7823912001874863,0.7009290624380266,0.8624982361961328,0.6961824883656577,0.9249663054945324,0.7770028285677526,0.8622617176914219,0.9174734236907438,0.636689236007432,0.5942640766211628,0.617022702661295,0.7571357348615527,0.8854226795447275,1.0841111039010722,1.02332359256806,0.8766483782422875,0.8613929499429126,0.9978438917020285,0.8993596370015069,0.7558620838592889,0.9703062895154348,1.035218687636593,0.7973666073938942,0.9087226342796344,1.096746616137524,1.0172528366029294,0.8594229080534695,0.9275547178012806,0.8353448179845395,0.8263807435599776,0.7677354017149707,0.7648937568263654,0.7952560908140743,0.6805462870410549,0.6835851183300897,0.708224491288593,0.7296035875151177,0.6435353657696837,0.6903205618758941,0.8430329271504496,0.78969033778247,0.751422173354836,0.8181725291844554,0.9832145264210022,0.8329467639299041,0.8859437770284669,0.9778006311690332,1.1130350680906096,1.280530270998728,1.012561036043082,0.8173233956940179,0.8126805327395158,1.1177797256109814,0.9283484324407173,0.9492300187319211,0.87489579713163,0.7328212660209475,0.5326823340934422,0.4780830640347219,0.4403750389387763,0.5807485569841276,0.6549620200495943,0.9220817218757161,1.3968844004320469,0.5371473141596707,0.836364247827772,0.7210883396498152,0.7018255339906238,0.5519451456839409,1.3494210683970813,0.7216189458682021,1.1183433891062873,2.0719314093440153,2.7368335543954223],[0.6090072563643412,0.3659457838409783,0.44398811620942835,0.3207464526438198,0.3178109181397842,0.38321846925001096,0.30836817739870315,0.40369596351574244,0.3510608674436161,0.32830230919180614,0.3872294700657129,0.4945335995227445,0.37749557232288383,0.34116167944614045,0.4989377629415197,0.45375016225023673,0.4122454804849169,0.4488168849722906,0.4550415238058978,0.4298427497262548,0.44690534315197666,0.45243295961216173,0.5996049894863942,0.5842573866231195,0.5760466609989217,0.47402015034144684,0.3696622254184508,0.3506373879236576,0.3747235476774036,0.41392150168107816,0.4704563284515854,0.5103059250703716,0.5625477989020665,0.5219422440158155,0.48099971070979086,0.43811202561299956,0.46776150414279344,0.4053648655293983,0.38568650096847057,0.40784964240481736,0.527624808351434,0.47868119486377886,0.45080089165623766,0.5841382982720607,0.9929879225757441,1.4464954126009604,1.3574956862365728,0.7823942723169824,0.9884118320605082,1.0762510880605685,0.9022558479146231,2.529913007475171,1.5571422632906378,0.8108956107066592,1.5292377815266502,0.5788886498073469,0.8757081003698476,0.587540902822738,1.150283877359463,0.791706664649177,0.6163248477562686,0.9588244180199216,0.8800716104479251,0.6794832901594253,0.48656164807650776,0.5535837111504109,0.70141995902187,0.5736265259920919,0.6842716138721135,0.6069353801044686,0.9021852822304549,1.240564572849675,0.8727888523383576,0.8535605153589749,0.5713597459122198,0.9261028900953446,0.5203864662402535,0.5148112720088561,0.4869895826233696,0.49291982431110515,0.5815290289261346,0.6025229264179528,1.0928014136716542,0.5723596444404803,0.5105433795453392,0.48535560434822606,0.4381743214796031,0.5991276992544682,0.43766256100127565,0.5608066943566449,0.5095425389531409,0.6249171331814067,0.5471394938843601,0.5341719963126167,0.5022732132471257,0.5701315444380716,0.6351956998513498,0.564516662533226,0.5629014495742716,0.8687866554488308,0.6129709602990722,0.6998670111477725,0.5486888355014632,0.6035173902193764,0.5823832663164642,0.5710864633504781,0.9201852486987973,0.5592930116773813,0.5696732968947588,0.6765624222792771,0.5618016567061076,0.4078601312156358,0.3474488223520523,0.359744306400784,0.3372619844653834,0.3151753465309801,0.3857102144618961,0.35125604168654356,0.4884463591753638,0.46747126533702965,0.4359785654224353,0.3763210292429076,0.3377720528759071,0.3004622039159007,0.31046660568146556,0.3658588119642432,0.4808451702577109,0.3793670646912086,0.403618031548876,0.4217072426361686,0.3909012363156419,0.508336209603318,0.41263481910970057,0.5125872963711555,0.4445362199318888,0.43333245069746174,0.6177454938222361,0.4854353846602502,0.5913237898735382,0.3998125355038919,0.6275561665323441,0.5258377024515335,0.43327463331230176,0.4399469620358467,0.37906054778693693,0.3874861982980555,0.35608073986472766,0.41181812443201143,0.37854661110982335,0.40667728966436517,0.5349872620063006,0.5342156917690022,1.0497577549668793,1.3359851446279265,1.1414187451857514,0.6354997544292645,0.5378390638341316,0.5498299044403868,0.4792605754902003,0.5163942644374044,0.3969836923067088,0.4085295143090792,0.39423329375749755,0.4252847446662966,0.5015728882934222,0.5771280620399674,0.4968098304796382,0.6504623064189108,0.7012944956546358,0.7058835513801321,0.5083616929993562,0.43821890395803637,0.47806182277564757,0.4620466651512446,0.45110904621382175,0.48804750387089013,0.4894506483442613,0.7660030103079596,0.48063624412540856,0.525537009538318,0.48955613765345973,0.47981287759682373,0.4612184893964487,0.46881460166470007,0.47481431532439405,0.6194154750298103,0.6749961469123915,0.7316708769488564,1.942525298939921,0.6247159122616286,0.8849398790266988,0.6912640280463985,0.6130623395588132,0.5656988953264201,0.4610301776537931,0.4524381591775374,0.5253523208381212,0.4211019193395431,0.4504527187119084,0.4975923036993225,0.46850400234556383,0.5321072776655205,0.4373522415139653,0.4911234469070996,0.5150901191369707,0.5107447201472741,0.5908626336137166,0.5801969231841512,0.6362333612710688,0.5851424976236381,0.6416339028498587,0.6554179602397935,0.6652375743523553,0.7174746082524927,0.7629820714467673,0.7720342575641854,0.8997103000760652,0.8492649155669895,0.6810213443681071,0.6807980754420728,0.6901574901051121,2.076316401803226,1.0402174180613228,1.7087090679375896,0.852045961912588,0.7526496679614475,0.8269681610805026,0.8380705401062897,0.7559581867439363,0.5400057460981459,0.6879132938607642,0.6393182315958815,0.8052679932870689,0.6396357985331397,0.8783813648776738,0.7351759130626097,0.8205759517858279,0.9159454805835514,0.596475573835979,0.5323733317326464,0.5354080712638813,0.6761279125285029,0.8071869129009424,0.9749159861558719,0.929214572698662,0.7736419267042732,0.7469671784436808,0.8673509830292725,0.8107248370849593,0.6734982393182869,0.8700822596431834,0.950919167434099,0.7343764309052098,0.8142123795054917,1.0062005648046093,0.9886368049616523,0.7890262954079852,0.8332499256726607,0.750350776462164,0.7349216423048153,0.670887056627347,0.6644331962453557,0.7013320449240924,0.605245426746018,0.5943196120828703,0.6051332190972313,0.6294428901295094,0.5567602782632732,0.5907257415677921,0.7562005713518956,0.7211238696132316,0.7000846931127178,0.7474113577934864,0.916237674590899,0.780744244348888,0.8235551774564064,0.8822224107000254,1.0428596179595229,1.1712822532893596,0.9004325810823973,0.7396795730181351,0.7147853006346147,1.0130128478268874,0.8458838223467797,0.8759815917597715,0.8308329437589944,0.6823446675732417,0.5047612367188701,0.44735628643122055,0.42811963956756144,0.5178038532819099,0.565281334438221,0.8128936034574901,1.3989632385710493,0.5064979656967933,0.7303820826304204,0.6786744408783352,0.7111059582809595,0.5035039228884834,1.2063380005237392,0.7070009224573652,1.1704820336897728,1.7833693170431575,2.4196728999297035],[0.7019414564924318,0.5309387019333588,0.5293190984018321,0.46039851033685847,0.43850270345601866,0.4589124203497744,0.34633946071481764,0.43167711869313913,0.3172087462901444,0.29516449440151554,0.35217918559926153,0.46940129390762253,0.3418812973559239,0.30959172298768955,0.47545483667191374,0.41863233461150084,0.38949298236285085,0.42425993250633914,0.44926134352186264,0.43459103473479554,0.4632095386800546,0.4465086076376531,0.6147490552197407,0.639979934844855,0.6073364648277737,0.5063503258410026,0.3740598509532987,0.351767812279504,0.36084372644053814,0.3998281418744824,0.46282445159362606,0.5041067383141076,0.5734123684207474,0.5175209836639951,0.46734349227516947,0.42186137533851154,0.45484030978926204,0.39673959723868674,0.3685204154031795,0.41483800597940645,0.5331327012755478,0.46713492246024907,0.4410048262945626,0.6067053561237937,1.004907982988847,1.4364456007449464,1.3951320254776185,0.8044053139442713,0.9944050194170457,1.1093721032849275,0.9047492486454386,2.5578996406962906,1.5511047195598904,0.8386884492596312,1.5313562875477922,0.5825739010987268,0.9007088632039892,0.5688374666013806,1.0940045646409395,0.8161627043604057,0.6083288265954547,0.9379041060337945,0.8929946197697307,0.6990599452433033,0.48577424813331926,0.5525348091394637,0.724737396498065,0.5588450734055344,0.7088710948707544,0.5911284365773515,0.8993231071562641,1.2198150607177105,0.8370585694260881,0.8786075302084619,0.5749092132772865,0.9750524982499291,0.5159574586214448,0.5223161440159081,0.4736911252743541,0.4597149613866316,0.5689899472734883,0.6131278478285045,1.100552164773478,0.5594189465491487,0.5136940411426455,0.4835260508228317,0.44089901450035246,0.5896510112725765,0.42139906439834623,0.5453113256596364,0.4996126056479697,0.6489084586307986,0.5685968414170952,0.5344677848542416,0.4920758884863195,0.5684770977274821,0.6176817092789983,0.5622956348711281,0.5603143109573232,0.8936750629005702,0.6234520430645596,0.7122698259783585,0.551019739414634,0.630467322600326,0.6124988494027517,0.6126597725759587,0.9563538225892529,0.60690518828943,0.6164586815030577,0.7256927144902411,0.6196333923527405,0.4524587255311154,0.37353424085292525,0.3855179552347509,0.33500996470286876,0.308755118554597,0.3965249294952663,0.3702312857415669,0.526371919359684,0.4576799518611264,0.4441190644006777,0.35727023747917275,0.35565805102322146,0.2895352573945785,0.2991030980863345,0.3743687691121774,0.49410294705988195,0.43032557131612165,0.46354312958798666,0.47660481415304146,0.4851113284428628,0.5798769593264231,0.4764052269318464,0.5561130217468331,0.4794643322111814,0.47110318968786724,0.6535662761013008,0.5173781079968158,0.5947182995121502,0.4206688780021328,0.6740168026357167,0.5906495465453763,0.4428481235456448,0.4239860989468403,0.359572533187108,0.3714982586131358,0.34423002869701275,0.40986798378433364,0.3932322653231397,0.41753708840350834,0.5618226962975751,0.5745910678621262,1.132478670823437,1.420019059266168,1.1721724180593316,0.6620235897594473,0.5449417023939003,0.5713033321205907,0.48626911098893444,0.5465174465002985,0.41214326091295217,0.4073774026910291,0.39105301877036674,0.4109278020288043,0.5027191014376173,0.6172204655083281,0.5353866291969647,0.686095390456057,0.7272748662504066,0.7224700649040482,0.5425631830854178,0.4762368221799781,0.5026985370020852,0.4780681163246083,0.4566587074288536,0.5012414221562108,0.4938836518936601,0.7806813439531569,0.48045820545628,0.5360442975224908,0.5195950736467542,0.5122316455570328,0.5042623821239524,0.49996420152097165,0.4956574587269453,0.6429790867003483,0.7309947799202345,0.7676850480540389,1.9507952608485208,0.662471119947717,0.9152776517005575,0.7233257815526417,0.6404229054105387,0.593239639123941,0.5265437501050702,0.5586265357147813,0.5927634734871773,0.5361965852677576,0.5611426475426963,0.5918210548579532,0.556458344111986,0.6031388957271944,0.5242467071126036,0.5765284785363287,0.6045779728184638,0.5950981118492608,0.6587983884351079,0.6736972562264703,0.7211548646342271,0.6667387837978888,0.7295019051336739,0.7568278051774445,0.7495238758438734,0.7848223884119776,0.8628630921852831,0.8593644777590013,0.9571641453424539,0.9343243918972249,0.7856987656130551,0.7944373979297051,0.8247573916665182,1.9990764425636562,1.1352012935530356,1.7135186492874452,0.9439282440935306,0.8076459274491834,0.8464777136419649,0.8806324874238192,0.8242107304082644,0.6635861605980615,0.778615565835574,0.784046409216294,0.9799976807645258,0.7860632605324043,0.9311634022183916,0.8796011688359289,0.8594127920516923,0.9551150614592293,0.6817647626941857,0.617427582090615,0.5902794476379951,0.7252408362676855,0.8472757973693098,1.0109748261345246,0.9555403050656545,0.8129043985104369,0.7990118878527269,0.9169690755841685,0.8458862064484547,0.7411255702166458,0.9124217833203866,0.9877474657721148,0.7899584856423618,0.8871228014759119,1.0728447922978366,1.0444036864711121,0.8694089628506102,0.9288912791729474,0.8522719824301903,0.8314484265971721,0.7685130296036631,0.7600483796781319,0.7966352922533254,0.7058042993588935,0.7083406847724694,0.7248794828070405,0.7520199516955167,0.669762529756705,0.7076356010714687,0.8812134104651387,0.8099195666948755,0.7837297168845616,0.8564414327265706,0.9770724547646914,0.8838077701678081,0.9176282936299466,0.9918112929005196,1.083604494522414,1.270713055789927,0.9716278445313933,0.811228089422019,0.770755574056145,1.0562515897922247,0.9282814732463884,0.9841337795764701,0.9081326165329744,0.7796503633369516,0.6246726726680393,0.5388490835813778,0.50164570883523,0.6230567788413665,0.6771125105570739,0.8916717791115601,1.3954932509887288,0.5882605421234166,0.8100038528409422,0.744732277113563,0.7718789944483906,0.6080838125583805,1.2542079223148168,0.7885272805165763,1.0823378612461263,1.9407578424152656,2.7596320772119878],[0.6351568441125572,0.40275337759791147,0.3946041981796324,0.33329194308728355,0.338806985999712,0.3417472755846433,0.2866450353534335,0.40360834749419155,0.3325053511193051,0.31064468272476536,0.360382477912741,0.45660981500536246,0.34066243046018196,0.33605102846898777,0.48367497262310466,0.42142748081705755,0.40753557901610443,0.43910193897399064,0.46752591542998057,0.4484695525053882,0.48524639587590473,0.4796709333775577,0.6347830316175817,0.6924339626571945,0.618567675478433,0.5329086785144606,0.40055663103821526,0.3629298492552382,0.3837518579631268,0.43344110768240984,0.4850681866660699,0.4884030309730029,0.5970002770486539,0.5311692210710819,0.4667083516356611,0.44497223325515045,0.44450922803928944,0.4064523505775186,0.35400698692010124,0.39789070932222526,0.5232828519477666,0.4751737257569265,0.4533046515187955,0.6281514008012943,1.0153054265411137,1.4205175410437938,1.3901318468435249,0.842863534029547,1.0221532914211158,1.1216757767165424,0.8920794418345315,2.613493284812109,1.5451547413731967,0.8737185665029226,1.4656415606625572,0.5586891257112991,0.9413611188097414,0.5427082029065977,1.017434766282469,0.824507536018797,0.6150297042663204,0.9185909993004368,0.903108004605116,0.7406803819685633,0.5320634863654251,0.5699675030329385,0.7319972438774237,0.5629901324233634,0.7247984205656924,0.593880887490855,0.8843360189593965,1.2212552724407777,0.8214319840214898,0.8855980261002815,0.5906054060827269,1.0076715620591332,0.5378065826132258,0.5301171686101601,0.4849364804538049,0.4626220607430362,0.5723654746367058,0.6026733197085917,1.1153112597383752,0.5576705721444521,0.5139932519262144,0.47640439623762915,0.44721220796771494,0.5906035078537505,0.4425548674451849,0.5450992293727078,0.5142644494015464,0.6865154136562209,0.5868579501990142,0.5391442049444284,0.5002787124265565,0.5814811536281085,0.6168961215310573,0.5683526807902572,0.556081434817485,0.8914175534668767,0.6166138970686881,0.6805926234141402,0.50687797914278,0.5782690802190245,0.5616878117188573,0.5405501652957261,0.8347926553407793,0.4964761264260581,0.5060392272259018,0.6801923230701397,0.49924038285737504,0.38470801194479715,0.31201123321835333,0.3575100527520315,0.35198305190136375,0.31443381984651786,0.38319165552031315,0.37651589919879747,0.5624980757051128,0.47232318973250637,0.45368508850874634,0.3642192204941616,0.3624731712006547,0.29439164920365585,0.29660285410657106,0.29710842756043465,0.41825448892231454,0.3411600332599148,0.3570708742246069,0.37064031917413875,0.3540583858338784,0.45663021394259024,0.3401597309583888,0.4766619723619764,0.37969790469008785,0.38030831516667785,0.5895646460840512,0.44823124913028084,0.5362613555516147,0.375419187435919,0.6485708691068379,0.6099268852071037,0.4405481637227691,0.43798658034381954,0.34594960838701083,0.3673520362697953,0.3310087758200051,0.4089612240298835,0.37439927084578073,0.3938968803370194,0.5118415522783368,0.5798871306423556,1.1440143470250759,1.5675047727103615,1.2833889975091048,0.6626527619631783,0.5209584552928282,0.5274383973791191,0.4768005199805063,0.4996364951398753,0.38292863256418636,0.40125674897210156,0.3562949035109692,0.38703207709194204,0.4460680609944788,0.5492603298108567,0.46130026292162457,0.6312281755900112,0.6478273651731397,0.655242133954756,0.46818748002306293,0.4048823338274011,0.4319126064522801,0.4074616263916111,0.41536091818956916,0.4845957002707632,0.4896203782125179,0.7649029531082795,0.4781610744507406,0.5020414280710355,0.4653732761217256,0.4274096427346953,0.42003132837708707,0.41382229738239107,0.4252717122618318,0.6113132172309949,0.7307652858500777,0.7499203327927724,1.9266080449920393,0.6950323801764279,0.9001852322093676,0.7472765939909305,0.6113117502444183,0.5328635567635707,0.4120876275584623,0.4299677255799773,0.48025222122561984,0.3782106410563593,0.4134090487637793,0.4920622852544509,0.41053385205968834,0.4752667645134307,0.39873585263332023,0.4315009236888173,0.465275405093003,0.4764770387227592,0.5426894052114771,0.5258213795943175,0.6076546414095334,0.5374966149227541,0.5832469688267115,0.6277372464457067,0.6558734048208594,0.6417835491435526,0.7234729978264802,0.7233182631915581,0.8642215671449782,0.8004116771602304,0.6228148124858489,0.628279724261544,0.6531296449101122,1.9853665333701156,1.0118639837326304,1.6614383071472492,0.8470504134419563,0.7054501562286591,0.7753283588863653,0.7789630482710918,0.7122338386513988,0.4825589688032349,0.6270547212186204,0.6103574657057497,0.7834268952448578,0.594069423572242,0.8314703581184164,0.7433028583762679,0.7825138954113356,0.906145759625523,0.5471844044710478,0.49411531186949725,0.5023515742029726,0.6381830443281349,0.7922364090946047,0.955376411024231,0.9162191447971417,0.7310930812539842,0.7070335864877328,0.8574100782119081,0.7771379788056884,0.6504486083018091,0.856950649856196,0.9439414873713423,0.7165014921764826,0.8003845179066144,1.0069657816053188,0.983976804424044,0.7797711285486512,0.828354362105356,0.7381349444130817,0.7153604123463886,0.6397749375075547,0.6242333942981376,0.6634328048915962,0.5606906484828201,0.5532600806926302,0.5504364456961892,0.5788243360578523,0.49493837167738236,0.5284894335001417,0.7347221530087007,0.6781956238000904,0.6789561964738678,0.705391278257234,0.9150091729409108,0.789467148570249,0.8033325253939662,0.8685228803702937,1.0161145334777053,1.150402138976656,0.8494338461005027,0.6858960437563759,0.6185262372890699,0.9212264824253157,0.7881520979778347,0.8566728556608149,0.8215427217537125,0.6466606395289257,0.5095161719254503,0.41381886020678443,0.40362154027634695,0.4816894166395401,0.5634124230210986,0.8190123778256436,1.5473598682250067,0.49563515078567616,0.7353895609998196,0.7916191793355962,0.6793579449003609,0.5112911338766039,1.2433578329158612,0.9638710850656583,1.6640187212102624,2.178559849288676,2.9107751945532034],[0.6166431003484547,0.39335917554187966,0.4014967829113096,0.34203552072673493,0.3379959681325418,0.3141172534787432,0.24001503258300302,0.340396002858875,0.27514788251669564,0.24680348499262222,0.3014532905956933,0.41489740654209994,0.27053801756685014,0.2666570848641154,0.40394741938332135,0.3524713297142383,0.3456242260032902,0.377655287305222,0.41129757943467904,0.39259369452570164,0.42580428523909475,0.4155555527719049,0.6043540479956458,0.6286323765578085,0.589371844547026,0.4822750609959946,0.3416428149544358,0.30453467268851236,0.31186721590185934,0.34532536216870446,0.40782304953908627,0.41942989170539036,0.511491189744612,0.4453393765844632,0.3818455913423148,0.3658785638789585,0.36965801276414534,0.3358846930616268,0.28846588106679566,0.33228821168625383,0.4899942682032615,0.4365055305280009,0.3952730362982175,0.6018148490681607,1.0272972234704938,1.4422309203481294,1.4048833646241954,0.8238311266893558,1.009948985274064,1.1238482847065745,0.8801945509959193,2.5515501371625495,1.4973567096095701,0.8191119651113312,1.5064369827769615,0.5070658514535217,0.8642625494684962,0.5446039807536143,1.0548450895438615,0.800188774732627,0.5754182621388567,0.8655345182341656,0.8379441548752762,0.6605973460023765,0.46856902588401156,0.5183348076304525,0.7003405422607609,0.5182635178524911,0.684650291144415,0.5564928058133883,0.8733307277279034,1.1756248349745975,0.7950177867327238,0.8409078395913503,0.5316570699636196,0.9495314021650538,0.4680522546985504,0.44982448237926387,0.41027459493316715,0.39954420350831116,0.48829593279327826,0.5307440808353612,1.0720087815676733,0.4796236914499698,0.46420728774492753,0.4014549200360546,0.371719840293747,0.5300402613751619,0.36616960538418586,0.4761021550325756,0.4444850771872935,0.6299532262904404,0.5141119848785968,0.46594711490227164,0.42834183144120136,0.5234299968254442,0.5673926089559461,0.5048396000423723,0.47748137171264804,0.8150018212353792,0.5253244570010704,0.6282913652690822,0.424858497087138,0.5024367701899797,0.49568140911573905,0.4929135620319758,0.7940628619928143,0.4644461882243705,0.48004920017694136,0.6536512940190432,0.47363952174684304,0.3410807834146805,0.260342944287776,0.3046395486826264,0.28130038000631247,0.26412027208213784,0.3478587089249667,0.3291004488353381,0.503709781320191,0.43439395689027344,0.4151363169203641,0.32253698258183044,0.32147600396004394,0.250407012355559,0.24724304838909872,0.2790154813328807,0.4101463586796114,0.3147755475950895,0.33754096877668444,0.34313531432059036,0.3440821378602998,0.4407973809525834,0.3287953539530318,0.44588482719029343,0.36285523800298125,0.35850407870694123,0.5923726915511871,0.4362185566023358,0.5307212235340228,0.3508917600918713,0.6314803390925292,0.5673073870722088,0.409124423516316,0.40556549354139315,0.3061612309968828,0.314474941514177,0.27666135011862036,0.347990530723941,0.3048478738102261,0.3378158204058146,0.4660612400274761,0.5114433224376452,1.0592682418513548,1.4906324513678417,1.2879886959808151,0.585481658692716,0.4351660036019023,0.4483259015181502,0.3852488979995364,0.44033807587416546,0.32587756172509197,0.3336510139011266,0.320931086836039,0.34946965516095174,0.42322586488315417,0.5376490977832213,0.45036875021633077,0.6331055817262289,0.6520148661111568,0.6614763710177194,0.4625359983105151,0.38710013879753763,0.40701920745083064,0.36942504441926616,0.35263281494337745,0.4073354015993806,0.4078285625132202,0.6831788049295674,0.3987821342552814,0.4296361840233782,0.42144932206921265,0.3805217865524184,0.3746753239385388,0.38451125710103534,0.4021606934131099,0.5852072536934448,0.6931657338714575,0.7322595487866803,1.9256485566280521,0.6751207587571623,0.9023794898942089,0.7252953866543298,0.6081780439622066,0.5328770032817354,0.41304012637427234,0.4309044501143285,0.48397243985340255,0.3768071122672777,0.4138644878979294,0.4911041757784105,0.3899902415775296,0.4486720422316537,0.38462654088369425,0.421384963879036,0.440976223385958,0.4577043252120803,0.5496209018924155,0.5122278679319197,0.5726855123995153,0.5279043846902777,0.5746888194012193,0.6018288084912841,0.6385990791944606,0.6333291020711892,0.7051170528434464,0.7161289781588785,0.854153865874654,0.7773455642172095,0.6042290890450129,0.5927102490920441,0.6151604050648377,1.982298485794873,0.965073516669561,1.616367468130313,0.841906521609399,0.6691346924358748,0.7450404647114592,0.7481366431010263,0.6911400302260164,0.45482633143947554,0.5991479304559226,0.5934203236299331,0.7582532732060115,0.5763105320851073,0.8358842538533829,0.7420751852165465,0.7832196055827239,0.9163322581834912,0.5416391742193442,0.4816941593622122,0.4857378216538868,0.614081446245033,0.7676385464784654,0.900969143950517,0.8765620473425415,0.6984425687109382,0.6490757441974452,0.7961257559007751,0.7362467711770326,0.6039582472167957,0.7970404310886658,0.8942046962326281,0.6778291413379024,0.7415371622379092,0.9402400224343526,0.9524784230876722,0.7401102232557022,0.7717689015493208,0.6874991078646978,0.6594977995034861,0.5876965145160409,0.574359161371555,0.6121624160555834,0.528628154097874,0.5210161979515343,0.5165628242914733,0.5529662361069085,0.47552066273371163,0.5050800822653134,0.7167508656997376,0.6668745310574308,0.6721709413001683,0.68909619725262,0.9037585327390394,0.7874822018804781,0.7947671537717591,0.8548557106014922,1.022295709808588,1.1051606342056193,0.8357994385264783,0.6849527610069521,0.6176129086791172,0.9153365380771961,0.7819509700633377,0.8458724590636039,0.8203481703102421,0.649250204087692,0.5144035792802628,0.4120873205878101,0.4007069305622192,0.4603952881788918,0.5508507581312744,0.7802289969022759,1.5643091448040454,0.4603402518609338,0.6874181548400239,0.7654203417760033,0.6341483291124418,0.4912175057641947,1.141648867393753,0.9522324144073357,1.8532090146222904,2.1650459668601925,2.77108213178528],[0.589181399813648,0.4148232505831254,0.398264307010991,0.33471462266326574,0.3713648678828124,0.3125640084021554,0.2610513312322031,0.35206414542935016,0.33801912012207186,0.2965723717395376,0.3291812110038313,0.4097536411109799,0.3155031198491421,0.31897320686876107,0.4093800938399086,0.3655791813770214,0.3932792462296655,0.4133943813324192,0.4701304547310076,0.447515500339424,0.492910011083709,0.47170221204978535,0.6689634310321761,0.7172801856205031,0.6653489171515719,0.5631299929785596,0.40863263977875103,0.35764512427125317,0.36696320523989145,0.38282935860210243,0.44338534301687493,0.4218151099956624,0.5124498046773212,0.4486810945861826,0.4036688013376151,0.4148721071778328,0.3850354963659425,0.37776078640453353,0.3346020216081381,0.3777893372687894,0.5121043838243471,0.47227349092130894,0.44449583341174137,0.6476385051748709,1.0531861460166543,1.4293192158630725,1.4546022533038807,0.8740371076552031,1.0290350522952139,1.14751230512914,0.8948249554242407,2.5921629048589776,1.4877042865826635,0.867699554206497,1.4909132357081012,0.5137196139538065,0.900879373865158,0.5474365658077863,0.9711780856527048,0.8548803043565044,0.6002727279358463,0.842000677505283,0.8568306725124751,0.7175097521067787,0.5341234208393557,0.573269319855955,0.7582868687862199,0.543096761307596,0.7170347769861851,0.574085381040634,0.8802111463348297,1.1592863479732467,0.7846955145658919,0.8705488807712181,0.545613376614774,0.9914006661007013,0.5057717564545362,0.46922100156846674,0.4413892652997594,0.44407064246163197,0.4909132779302926,0.5386504434885422,1.0920806432227048,0.48695872494858455,0.5168337509589992,0.4338788118603508,0.40404809260190877,0.5255127919109077,0.4127326110936438,0.4762669591650688,0.47361966376912146,0.7038370553994937,0.5628203957764479,0.47781919690278196,0.44052160156380343,0.5399853896494785,0.571176775159463,0.5022358272727896,0.4551241552418082,0.7764947362124494,0.48951281579621625,0.5800218215578409,0.4128754587516594,0.4825937464891116,0.47582771028638915,0.4838571289761498,0.7106780310660403,0.4530139963999074,0.45520757855031246,0.6490817063426182,0.43720042437187845,0.3506041595507845,0.27870334133441216,0.34080752051898494,0.3452343003989904,0.3278718119116429,0.38848208389669814,0.40141722407629193,0.5920986472104003,0.48635609800046453,0.4646553304388477,0.3754660917603259,0.3868703959305408,0.31325005521310756,0.2920645464250462,0.2984059044506415,0.38334996276923,0.3336475157593617,0.3312903750071859,0.36288560566180883,0.3656161003555139,0.42354672848301456,0.34736584614115223,0.4413276483959146,0.3813887998062123,0.38360311904549704,0.561684507805614,0.44125142571031467,0.5365514213680269,0.39474617410077983,0.67648759217625,0.6790117461416212,0.49757048973845663,0.46769522211884235,0.35148629986919555,0.34743440776362894,0.32057342581147363,0.3705036563469045,0.34559008333693886,0.3671186914358801,0.4646471289773499,0.5398905878198853,1.0231206758158402,1.5584168141328547,1.3762414276052564,0.5695154158721701,0.4109415477867416,0.43399865676088306,0.397710525705023,0.4367225318558742,0.3765244685172136,0.37403005497625574,0.3465003165492243,0.3862195634828911,0.4286602510464278,0.537599062391109,0.4879162058408154,0.6751532328683161,0.6638254639611365,0.6715970673898355,0.4928058829678349,0.4190761300765469,0.42726199912250507,0.3838971274236252,0.3688130729700867,0.4193355968037552,0.4340104765279999,0.6751827034299316,0.43404107180834867,0.44104628511568067,0.4228842358127577,0.384403310630581,0.3774718195534217,0.39652055374515327,0.4324376167457495,0.6120481448885206,0.7218173864273953,0.7533421088713647,1.8691706344168477,0.7372946484961435,0.9641045792434016,0.7991568041067446,0.6875151010650042,0.5988120666082621,0.45409444348944317,0.465381807508202,0.510577507997216,0.3957766461998674,0.40734035910292826,0.4987883867862425,0.3678460437212352,0.4346492425268907,0.3782990410030403,0.3791765113160586,0.39292772514136776,0.4240929346268003,0.5110781389162101,0.4595687940003954,0.5224878527456377,0.4916068538500855,0.5322929528868531,0.5618922171249815,0.6159666796865816,0.5894850066412367,0.6776108118760644,0.6891138386127466,0.8284793203787301,0.7180897763314003,0.5441303238946547,0.5307223447502843,0.5790000417052668,1.9525349822501694,0.9316009270048707,1.5228107207124695,0.8713371056625211,0.6285532630144129,0.6921205487321668,0.6865912079711387,0.6359895536198075,0.4126939303339872,0.5570390680656881,0.5780648233500427,0.7327696537459215,0.5386302037566353,0.8551822004126626,0.7430172715093417,0.7516130213544429,0.9199832149759942,0.5021661222287844,0.4806363661955205,0.48500628331380463,0.5845301619850246,0.7799323332321066,0.8708750572290657,0.903609369668684,0.6845225110236427,0.6067346851684586,0.7740251961850868,0.7252323739389143,0.5596098950296493,0.7465473244106344,0.8521763915627546,0.637753647922906,0.6865987202421525,0.8887000449237681,0.924607853692883,0.6985202013251788,0.7173933324826197,0.628703208485823,0.5983596750489795,0.5334719326569229,0.5285842721596354,0.5436375602702964,0.47280399814161495,0.47785021307637465,0.4611572247084421,0.5087460553777795,0.4186647032655425,0.4537107976845496,0.6695851297867933,0.5992656616347101,0.6207163300288179,0.6362713285723256,0.8917582215778118,0.7645025507850446,0.7504233971702643,0.8445128713753782,1.0428044305121333,1.032640528433046,0.7815680342961137,0.6381942509583379,0.5556845414954491,0.8520569699769643,0.7106470703886233,0.804491052235539,0.7879063575114822,0.6075620549430311,0.4905655505912185,0.39616265606651463,0.3960660271675935,0.43277895777573344,0.5357251275807621,0.7336980010122015,1.6584560308889247,0.46649917707285704,0.634800436273229,0.8235587149254032,0.6126001508323348,0.47875619571255595,1.044924986331376,1.0908444880515096,2.2833087370733343,2.6310529644520155,3.106210243510866],[0.4924170433077312,0.379506764457373,0.38253720297031785,0.2828918822206022,0.39704502168429845,0.2453917512309403,0.20591609178950904,0.27027916917977235,0.3198125405169832,0.25325977866618987,0.2838676690996497,0.3824893416818702,0.2666792071372413,0.2744186110427238,0.339718000016487,0.30223063347207096,0.3559931973574713,0.36363099941376187,0.42786189503769917,0.42223339303141727,0.476981283745058,0.4610101694986728,0.6755101437020347,0.6781761083164026,0.6542863234678309,0.541349488490218,0.3868822068333803,0.3360085263760554,0.3260602336926626,0.32988667587247655,0.3941028603825148,0.3808525098361393,0.4804844704818373,0.40322400899847993,0.3326590199673053,0.35707464402617356,0.344915505116717,0.3322177902350494,0.3068077623748469,0.354297915688066,0.5144392932248818,0.47720637397562626,0.451504608023562,0.6878693216773794,1.1576824233406842,1.5026027979898933,1.5648568583233828,0.9545839824663853,1.073654388794257,1.227363752102306,0.9436692238622828,2.475446759998864,1.393049051631225,0.8763814718941237,1.5935378560392741,0.5375630357708623,0.8273984469226175,0.663555451582451,1.026289363489101,0.8769798277021531,0.5890623487716984,0.7701391048893568,0.7998140512980575,0.6986427132878057,0.5328239663271791,0.5516590903376899,0.7152008850085452,0.5075094152905454,0.6987097655268266,0.5347780641991103,0.8360789084839598,1.0757008837190842,0.7319719236854869,0.8772391423426177,0.49632993773986267,0.9773239205793902,0.47298845984756127,0.41172168594341035,0.3918933296990317,0.42107091656450113,0.4337845336610422,0.50651426097653,1.0343496030929662,0.3893567535816134,0.4804652164958675,0.3571477226049383,0.36139258820068937,0.5115121067630076,0.36582585584403615,0.43213854504451127,0.4292230291049055,0.6835456747561727,0.5334382940446939,0.43645416290302486,0.39534193216803437,0.5274928198527186,0.5431686556968085,0.4485454570910048,0.41145164430411446,0.747283340609295,0.43122157085898677,0.533225387456614,0.3382810991167104,0.4028801259585106,0.42503388325101826,0.41762480800875523,0.6000654616464486,0.4120620945123152,0.3985845638082585,0.5763806095059305,0.3641939673945056,0.29035029670508067,0.2323541595794976,0.2641709016131775,0.2795349270193157,0.29828907819376627,0.36977509651742974,0.38981208523934896,0.6170468864631187,0.4616074538515882,0.45400106124191947,0.3570175567805128,0.3836172947037488,0.26945644530483165,0.2286416622338233,0.2439766273393377,0.34419796024929983,0.2589140928514681,0.2787706394006851,0.3250167178129189,0.3506979385889359,0.3874806392369975,0.33048868742214943,0.3860260681104575,0.3358407387262301,0.3297448150422814,0.5411028409073533,0.40627404319624,0.4475195928609328,0.35870410616882176,0.6626204536757925,0.7083984660131613,0.4524406316891179,0.452213559791021,0.35413935649356043,0.3196147312123669,0.2851082451819166,0.3172427284612568,0.26949658581033725,0.31658442132681125,0.40215212892784363,0.4920486759963097,0.9206984881294998,1.487449649121492,1.4064846865953158,0.5318908393997193,0.3593840899475234,0.3557055556134625,0.3201142732789943,0.35282172075836343,0.3356983253881024,0.30494075066808973,0.30415930281388603,0.35290447855098345,0.37773939741402124,0.5459195458199285,0.4832098003038122,0.6925140395550494,0.6658779757598287,0.6561684554424048,0.4804880422951534,0.3805608718813777,0.3805831242123935,0.3365285779011164,0.28846701358983845,0.3411630864566158,0.3563399259425411,0.5742492700896568,0.3549843431851055,0.3545290531216864,0.39296574016208935,0.3256606164922112,0.3373859618656845,0.3937672398667167,0.4201069661580498,0.610515041234133,0.7321452873260919,0.8038931240065871,1.8762194255755018,0.8226077725912638,0.9720722068924456,0.8193287726735441,0.6896326529116253,0.6155087128044375,0.4721197692647142,0.4996375327588721,0.5207627700377782,0.4168438075661876,0.41065803984088006,0.4801139446221847,0.3297804448728817,0.3849263424918935,0.33941827564753835,0.3300593777587929,0.351350890138587,0.40125595590700575,0.45989805942144163,0.42452551531560534,0.5064423364580187,0.4888667851824945,0.5144609906051794,0.564714105073328,0.6434155997349738,0.5887605184788998,0.6879453037281089,0.6931410609982332,0.849112384002179,0.6896735457861687,0.5296969333694423,0.5164684144103946,0.5783656495448039,1.83088911943624,0.9089500561920428,1.4478996938761883,0.9019335598895648,0.6055116573217136,0.652422885566373,0.6233519903311023,0.6198178849377277,0.40257995301109684,0.5149310922442935,0.5868827735594946,0.7308674706227567,0.5351708110386701,0.8436324544241925,0.7971158567608504,0.7573607136457324,0.9432601921959487,0.4813619880734971,0.47989904316980103,0.4681651793923758,0.5397215653443583,0.7574613489556802,0.8047837539529962,0.877153465055869,0.6608067104547887,0.5567971624923679,0.7386540763993673,0.6927998446555337,0.5266123071305012,0.70839312909566,0.8300943933161871,0.6251835839026159,0.6570785776661832,0.8626222524520464,0.942468734844709,0.7002833254326343,0.7063207400485592,0.606513706905962,0.5634585324786492,0.4881873483630041,0.4942119442469203,0.5084305160801411,0.44957112151157813,0.4445938530053746,0.43768707643809135,0.49143732422010766,0.39605573911144903,0.4422977165962614,0.6683509205062746,0.5689687251090314,0.6274572446010058,0.6389493626797595,0.9107041954956703,0.786371206162151,0.7281222678741222,0.849716396064833,1.0424320234429187,1.0071518367745569,0.7514180630312165,0.6040304272484736,0.5077470589521993,0.7871725512418957,0.6523108610828041,0.7731308130531772,0.7611956655649114,0.5670240580528646,0.45124480905484454,0.37864182855951856,0.3712141172617675,0.3907073247599447,0.5324122401629335,0.6688235573273704,1.650971423956571,0.42808434387830435,0.5487835377687159,0.7531562093272817,0.540436938562554,0.4406708847966831,0.8950185943116163,0.9623053752223466,2.202602324865229,2.4526902360436376,2.8637389865803127],[0.5294195715564365,0.4043133442442133,0.4066196495672695,0.3215042791325303,0.4567716469295646,0.3239243191575159,0.3003783116107306,0.3213523627862602,0.3635818468669063,0.3070978992121575,0.3139216325859503,0.38709491265470397,0.32587774125132557,0.31578516870160445,0.3636286833567439,0.3282878911291506,0.3889707155117698,0.37788866426118406,0.44221553363628063,0.4441986872369674,0.4968273815875566,0.47690234718276575,0.6721314341067424,0.6890860217831201,0.6701806718898761,0.5608553661476202,0.4249989535728104,0.37662075023043845,0.37358974942953227,0.36089856677793974,0.413078778922259,0.38629430589293295,0.48255476500490385,0.40956371380903833,0.35791865513548166,0.37801477053483,0.3773650706848206,0.3814987717910691,0.3550380478637764,0.4010057172088305,0.5363542256119428,0.5061406540622512,0.48755827690167314,0.7119152266571305,1.1511445748020206,1.4795260829536037,1.5481169212849397,0.9713239149436967,1.089132522539968,1.221356780357975,0.9585225822291771,2.507513144193622,1.3999319873750868,0.9058833569177075,1.5996381830373863,0.5721255866314771,0.8552771767287902,0.6911067648152037,1.0299659184264407,0.9026228922534519,0.606133256984293,0.7752660414061663,0.7987881354498492,0.689184789011972,0.5396407574407432,0.5680364482543366,0.7054850238591196,0.5062959520439232,0.6865786081945155,0.5241196027785145,0.8215889656390041,1.0369533030548777,0.724048099958635,0.862244345042855,0.49090489593812564,0.9622662320411614,0.47240321238430644,0.4170008725128455,0.41138716866893293,0.440062555619647,0.4504474462248745,0.5379732063974676,1.03601880373689,0.43716063029221774,0.5173827710880256,0.389216454520838,0.4064715375106705,0.5392238706874353,0.38881136215803497,0.4553210630116783,0.4315367870154212,0.6950599417725682,0.5436036145897225,0.4469373323822679,0.40584799861602444,0.5445250555531317,0.5595564727600706,0.45696131919171384,0.4142421039206602,0.7074714080819972,0.43790708738172546,0.5179637880090877,0.3678719507614105,0.4393758348079565,0.44918445886979647,0.4457357273652699,0.5636964437262426,0.4367267037039,0.41400420108169,0.5956914761806339,0.3488145086047193,0.3353242776502706,0.31386243364382926,0.31679405470496985,0.336825766180263,0.3523045615622439,0.40350462663986714,0.42008896046380206,0.6135812473709247,0.47044114028657347,0.4561626555624931,0.37897055701436194,0.4139262776626792,0.3311759879020848,0.2936820356978117,0.2924991821232137,0.33215390361339614,0.3043561446159349,0.3398643153252685,0.3942349846051819,0.40248558833620895,0.4279486647392148,0.38474005018142754,0.4370204244364797,0.397967618781836,0.38595178574160577,0.5646425958640083,0.43763492208313043,0.4803137473433398,0.40503185398600305,0.6903609335102683,0.715606114104873,0.48312948474108003,0.5018518346443209,0.3942141236316251,0.37326131083525427,0.3430921066720619,0.3641038754919551,0.34050875943153963,0.37074448174512636,0.4252130911562136,0.5525761867866562,0.8871205746973909,1.4449482470196173,1.4221108713425272,0.550501067884319,0.3954334101192096,0.3963116880255305,0.3574616913783424,0.39520012166044094,0.40798834177421134,0.360654943065517,0.3540870971127393,0.39723984777266585,0.41195777243078946,0.550116821008229,0.5040260064820619,0.6894066500899113,0.6528800649064344,0.6409225470248884,0.5007083067552988,0.4184423487022072,0.42334011111899084,0.392965506626269,0.3552152967369832,0.3855876995340862,0.38730119737674046,0.560850447984804,0.4104246367097947,0.40222383474964346,0.44440991831695614,0.3799284525216586,0.3978488578929359,0.4468359591510028,0.4669522334773948,0.6305667882438135,0.749536024361454,0.8389668875795934,1.8459465866509461,0.8585878920456562,0.9935031983514687,0.8977873034047975,0.7227259657069885,0.6366248852599884,0.502469579106474,0.5247018558561272,0.5390268631150105,0.46261282290953537,0.45844602030015014,0.5150533808152483,0.37551853119140066,0.4090325736750736,0.37701860911250573,0.36745288584461827,0.3718339481458087,0.4141543471555384,0.48877504864290794,0.43134069775022355,0.4869100267280078,0.4982089429555137,0.522559075671391,0.5485801230784295,0.6217209219279468,0.5986565688752299,0.6806361270638995,0.7070860097642696,0.8172976754030484,0.6736196694514314,0.5235299737851693,0.5079929210233041,0.5717783607240771,1.8805347597557127,0.8898081008027114,1.3854196585245122,0.9546705573998097,0.6198717568553087,0.637801879817966,0.6274065766082079,0.5999253114297785,0.4425452197536758,0.5326203638222099,0.6113581077664099,0.7038544971497377,0.542732389097822,0.9196902824863727,0.7981461131094636,0.7622277757442638,0.9849169958173608,0.5161748439427261,0.5349801028750641,0.5360161151814191,0.5640583444879208,0.792041380016339,0.7995372720249105,0.9217562924219932,0.671618150623148,0.5641007711826983,0.7388409151822729,0.6928408607575096,0.5069441595789083,0.6632806789727652,0.781595206880283,0.5817203165053006,0.601104833168718,0.7887150952275735,0.8874256885904384,0.6578210087845067,0.6446480895343654,0.5703129815612132,0.521275083178878,0.4731530070119788,0.5020561581028815,0.4810553476527498,0.4479532754314199,0.460858688847372,0.44412441158985555,0.4987568783876869,0.41720518269701423,0.46760236967946134,0.6663718427538776,0.5822888320004245,0.6201994595878884,0.6292964134815813,0.8953933750940983,0.7939143940181649,0.7228409860385883,0.8788132383798881,1.0974465624546523,0.9370488437367088,0.7508432506836923,0.6251203043870374,0.543514710404968,0.8158564221346287,0.6425111255018442,0.7498391636405282,0.7696050174308311,0.5646637399880294,0.4744268661295169,0.41791932512970864,0.42378116771729457,0.47737674093103966,0.499748918541653,0.6332196190775896,1.6992024029012838,0.42989354045274186,0.5262919089388481,0.8221982691544897,0.548679359528129,0.4588578137379955,0.854082164234601,1.1896298533413592,2.733803240271599,3.112579049591153,3.3897303807514643],[0.5245622060827984,0.45354943602454967,0.49643463782103703,0.36342012844216065,0.5866393294936088,0.4242161566718957,0.4186383853896211,0.4120542378410118,0.45117828205351257,0.4250754760587216,0.4209749173853857,0.459569778695197,0.4622042318868938,0.43591145673029796,0.48799754830434294,0.4337916450661525,0.4732345358644969,0.4709553965897412,0.5179762316823908,0.5372449409189782,0.6049170573532487,0.5992752877597753,0.7782014659442513,0.7873301598635474,0.7861232283957938,0.6753225189846946,0.5326065838085284,0.46939144629901536,0.4861711382602742,0.4579052589514436,0.5230814733903733,0.47504518830308046,0.580252381278253,0.5051378368128936,0.4660726572602562,0.48421487572908856,0.47060112000888377,0.489921342932524,0.4870599372625662,0.5387456760296948,0.6500392891782358,0.6039654998579699,0.6145096037404776,0.8385390863365633,1.27236669248174,1.5445353332902985,1.678224354047078,1.0953400791002008,1.1515055112491346,1.3560116111673817,1.0871889037861777,2.404815116406134,1.343764489589227,1.0146368626927635,1.7170781303074907,0.6822533401039976,0.8596738892747059,0.8801308844426092,1.0856904128518958,1.0044991272403427,0.6954527285058055,0.7483908174974269,0.807068733443897,0.7621634293914449,0.6472271955095334,0.6650709157354818,0.7607809288245,0.5355706174658493,0.7319449121572387,0.5714451526066374,0.8223246726169781,1.0230228410240318,0.7213467838432241,0.9264941684073155,0.5454516255817411,1.0662729718921415,0.5444652264789689,0.5045448043961427,0.5116298612409995,0.5623325448158586,0.5443458967143384,0.6384932312455447,1.076208427225556,0.5213352094582082,0.6076303763475382,0.5016362636130601,0.5173490024939196,0.6308788775203324,0.4997777286668011,0.5200443008765641,0.5189270536499965,0.8252011698374421,0.6711173137463992,0.5555016500116098,0.508037439877883,0.6460657735408063,0.6545842574172921,0.5348272377397375,0.4809907310507528,0.7213142127640475,0.5045087024274455,0.5716487766857283,0.4706160233824212,0.5349984542186436,0.5991501970309475,0.5515644162933898,0.5932602206205243,0.5675722367718468,0.5179346183796552,0.663380558446388,0.45621838324439673,0.46959359974841497,0.44655290293797983,0.4414709816923796,0.4606472470534359,0.46423361475676217,0.49114868926418354,0.5098880259811103,0.7222614101331886,0.517452398267876,0.510919705535049,0.4770281315702671,0.5102423125334661,0.4399507840376511,0.43090442344895286,0.413715083661186,0.43484021889939806,0.43114234460276624,0.47028301862227495,0.5573435012173622,0.5362613178212841,0.5388139514489586,0.5192603345996274,0.5626380454294836,0.5168020852735212,0.501668650226009,0.6157821877060036,0.5338806522929891,0.5104390797905884,0.5045076490205994,0.7283428609708554,0.8759185900357265,0.5714240849240574,0.56769704214636,0.5123033820154343,0.4724523360966431,0.4559422823626867,0.46652488447997925,0.45901422318059903,0.4715340532841092,0.5112000243268454,0.6114291466799927,0.8851426288984188,1.4468741611492872,1.4351298289647123,0.6116033819668885,0.49668897048410443,0.4778400780768079,0.47800158658101843,0.5028322861265129,0.5287484013440642,0.4736321903657811,0.4528951224889464,0.5107443370621014,0.525464607490189,0.6389857875066357,0.6007000504686807,0.7879569239635142,0.7261476928233804,0.6951450914550471,0.5936065496713235,0.5291156555023986,0.5297033223540184,0.5113019853130566,0.4653551073301291,0.5062581169830176,0.4978478559677362,0.6162267100221448,0.5173820759838738,0.5147110485334792,0.5687003405930512,0.5130495766855364,0.5291224929376136,0.5739629958798074,0.5980349138929527,0.7579941066593925,0.8743243045157894,0.9930710035027567,1.8712098847031633,1.0100806927935253,1.0838711753114876,0.9843442453755493,0.8077515376430788,0.7491879890421386,0.6308473039539567,0.6725033533382461,0.6664458338614202,0.6093594072299862,0.5820103647950183,0.6336432849234227,0.49425161394995587,0.5377339149537435,0.4988133343119042,0.4702974755213936,0.4873480403990676,0.5281258084194344,0.5318943369248802,0.49789584947769977,0.5677306736177494,0.5782381981786239,0.5773538919447156,0.616726733663535,0.7038562935427396,0.6700176602202178,0.7407732877154785,0.7561857199651913,0.8420241807402493,0.6870871300493885,0.5717577768208166,0.5440218537374253,0.6313201816778578,1.7661553266952568,0.9237166188881201,1.318845406279396,1.022004938693218,0.6825441857240048,0.7063758885254531,0.6946266618915046,0.673994610846187,0.5548147920281052,0.6717546035307709,0.7701008764245216,0.8120409465565771,0.6826623961866038,1.0081873394748988,0.9307065944317574,0.8432337402211574,1.0560504994096933,0.613830107009977,0.6755233115245489,0.6600098968702024,0.6867646929917576,0.9189616495361137,0.8476473863915212,0.9943106511752635,0.7803269186333424,0.6798347036681089,0.8161962467680761,0.7779440578945533,0.6143924859715618,0.7152061770950939,0.8313597179454639,0.6665635744820391,0.6737353463539923,0.8387945736955392,0.956388754042535,0.7274125280900722,0.7050266044217101,0.6343167537701455,0.5982053546648542,0.5572529297896145,0.5869089179775646,0.5490060328371532,0.5227367142898173,0.547147153185008,0.5006796769157985,0.5427627983921763,0.49568377873200226,0.5320366818860722,0.7120937288930491,0.6193521101507566,0.6971850798157996,0.7264783233042612,0.9960692165669848,0.8718326194313041,0.7647377739821182,0.9628309514963341,1.1294432434397348,0.9332214834523215,0.7546591167861836,0.6540244635768494,0.5815202779090776,0.7898923772233751,0.639806708052246,0.7532429283580538,0.7726106279034525,0.6120970386803789,0.5552545864236865,0.5388364145090693,0.5382557830590206,0.5627185288309757,0.6241615978364202,0.6921195610631344,1.7020769599377046,0.5677944245975067,0.5576621664023603,0.8010900914971658,0.5980987915841902,0.5218351302143354,0.8380801027545753,1.1047552274448145,2.6283852759640594,2.954025237636224,3.18514762325497],[0.5291005556403294,0.44462655749535845,0.44824277649338423,0.34433170057839196,0.5742708239812327,0.4644259527106339,0.4806013655806669,0.501747882433482,0.5415846448233015,0.5572687104192693,0.6063213137220598,0.6373126137654385,0.6034129572256872,0.5947754233377038,0.6482138591115225,0.5919852881513209,0.5822564296051302,0.5597889957534983,0.5714038409847042,0.5984161463611278,0.6600782409857366,0.6501618836632627,0.8165514552334007,0.8115174325124735,0.8108285485951525,0.7249020516966045,0.5931274977333705,0.542434835588011,0.5720119426531504,0.5808501595304231,0.6356801887364537,0.615030448000339,0.7298678350937414,0.6252235275252908,0.5855231240192671,0.5778878712777088,0.585299479087081,0.5643433133815358,0.5531693959006182,0.5804990405689034,0.6704837914998266,0.6526018905136536,0.6699740862802035,0.8601499099504202,1.240179104199512,1.493520265559857,1.6190320040748014,1.1141150639953363,1.187291159141962,1.3345579109803012,1.099245025111345,2.479153965300526,1.36696726355396,1.045623703416385,1.6328895844508033,0.7282497234765977,0.9362210008369067,0.8377903375285427,1.0379292408705123,1.0578189298506775,0.7463458355710575,0.8106491761027471,0.8833624410180743,0.8456527765156109,0.7019124260199143,0.7365465594662438,0.8143878762614192,0.6042853362038169,0.7707077855779071,0.6456209158097648,0.8341699039835047,1.0339023596856276,0.7726886435055281,0.945406579314511,0.6244073456642669,1.1123404392092695,0.6296679933108306,0.6038571102731384,0.6030780176597218,0.634588389029228,0.6159900562223694,0.7079439011622577,1.072825766880176,0.6104425057734009,0.6768828306237888,0.5730352616454711,0.5914129190583075,0.691652730541525,0.5871039001266054,0.6253844242244845,0.6111490010577305,0.8900782640702384,0.7716301442979424,0.6836864760061817,0.652434665886119,0.7772181143253989,0.7918750271617057,0.6867075202449595,0.6551300367703429,0.8487401422348748,0.6796941059716015,0.6567826313348327,0.6039077514030708,0.6389248370616031,0.6339761937166152,0.6008024670511594,0.6184802749600338,0.5880831120832549,0.5163264117889016,0.6963292408683168,0.4733868029877334,0.5148987991343125,0.5150479305852834,0.4654450279077295,0.5318643393595256,0.5249325820119439,0.5598368722807578,0.5563739266647788,0.7746968242474428,0.6152952504077034,0.5992547379703648,0.5832275744039044,0.5660071045538326,0.4754832836404944,0.43496030303844285,0.418026333088133,0.4059380208120624,0.44138733931926677,0.48704819148764417,0.5679692827703093,0.5255421228471548,0.5308719618111685,0.533806992335804,0.5806682121431531,0.5279835023525047,0.524427215912771,0.6720179270724257,0.5260178236811196,0.5278807704796769,0.5447303969021287,0.7520479265705389,0.8863032492036452,0.6199018088359124,0.6133932753974504,0.5638427791042238,0.5472034384507266,0.5183690027782565,0.5481630729280769,0.5477466673485523,0.5515442531998558,0.5680187329759009,0.6937476951542563,0.8934882046949815,1.4790117988427258,1.5256233628635754,0.7404318433555878,0.6587150563936277,0.593337769705189,0.5910457819739273,0.5862890929009272,0.5990226121892253,0.5422231418783863,0.5093518124363601,0.5508209431614665,0.5396798796356367,0.6367872840163817,0.6132600785178893,0.7870710916336063,0.7181860471846352,0.6893238066331915,0.6041707928614861,0.5508846601475897,0.5416114969173962,0.5508641146502636,0.5394846583576063,0.6100909750496223,0.6096311613458925,0.6913977148525126,0.6234903973473434,0.5778790898644023,0.6054430834039871,0.5456616755433581,0.5548326995536329,0.5856033715206349,0.6074104467122154,0.7771241238936811,0.8713712663587123,1.0120609679363355,1.7795621325965545,1.000495214732208,1.0875186665263932,1.048869179775562,0.817158871740185,0.7474205301236595,0.6346582962092547,0.6470777642104868,0.6415433404804354,0.593704460357886,0.5658733412552583,0.617108682190342,0.4921279411237102,0.5203317261593207,0.4911456700555845,0.4536731939862018,0.4663355707229887,0.5028254420976745,0.5506249994722998,0.4860187179609374,0.538767948761606,0.5532650640988437,0.5593773396334715,0.5767023219610072,0.6458764032308737,0.6446000032902,0.7125289699749608,0.7560394877680152,0.83669434825209,0.6948359564133972,0.5434287274012183,0.5280881642664751,0.5932484946851028,1.8471091134324904,0.9303174929752487,1.3454336159353824,1.0305823126265032,0.6990467756480074,0.72608821491402,0.73327157734348,0.6441314581439417,0.5746175142136776,0.6289222951238831,0.7205064422033265,0.7272000664921646,0.627405841868157,1.0459152093017048,0.9030962664539758,0.8416337883429073,1.0776281561125836,0.5947676625661954,0.663274559554507,0.677275528711631,0.6791390791752646,0.9334664926990863,0.890475915495074,1.0440731255689477,0.7935050130173271,0.6705657219587491,0.8222816586165763,0.7588114809756801,0.5824956364396793,0.7124672679156315,0.8318582077892815,0.6367556183057139,0.6436692973185628,0.8149319253237844,0.9227993349072425,0.6725646999331604,0.6436109059394853,0.5747190650257662,0.5478123728530446,0.5402782730032665,0.5902345600205993,0.5128913070416548,0.5043231466147676,0.5338037341795336,0.49212575117806995,0.526472302270731,0.4798512417857038,0.5375211773277614,0.6901206287629837,0.6013515950277043,0.6758233220931309,0.7004287111931415,0.9672994941238167,0.8557225868563458,0.7475889149767663,0.9898362837175501,1.1885789450144006,0.8914525436505827,0.7779307991818872,0.6662316339871643,0.593282534993755,0.838073356295972,0.6660966636257533,0.7683517450365924,0.7840346094488267,0.6008434421244355,0.5375264428131427,0.5173237322493092,0.5222644756615572,0.6041454087712906,0.5388740002610714,0.6324475323573555,1.7069459993951688,0.5437681048816084,0.5953449733742676,0.9220018280218529,0.6640859002402213,0.5325845998022544,0.8062762626852261,1.337267720601213,3.074446857235722,3.661675377211303,3.8906275654365885],[0.6456764765650707,0.6029579529432256,0.6484503634130582,0.5644491482865788,0.822949189735932,0.6161725867620108,0.6560624496489585,0.6684183228936194,0.6652446642055703,0.7512218582610529,0.777667515877323,0.7974354977308289,0.8846715582049072,0.8682858465784741,0.9621715886562806,0.955713417404132,1.001161875926638,1.0305338670265431,1.0753651036266276,1.0961508652576377,1.1614443006170676,1.1557223493461075,1.2774197748442806,1.2398813309762922,1.2675119427740094,1.2043598728459677,1.1057481285316308,1.050242911983994,1.0424675257635199,0.9998599884717563,1.0193845260181285,0.9781091136746132,1.055611630907536,1.0185317308664241,1.0080539902699073,1.0341410533111697,1.0136557530824282,1.0482091122659385,1.0454643082791435,1.053114803705978,1.1143963526932839,1.132070268117344,1.172325729354423,1.2731632978774126,1.5801236295451713,1.7170241747614743,1.850398415015101,1.4978976447309784,1.494687747894028,1.700849039866005,1.4851812042174657,2.485654158847972,1.527971000864089,1.4260087153817402,1.8761186411200161,1.1875835038603284,1.2745476407119818,1.293387397649865,1.3649897373234734,1.4804513669120902,1.2115265908692225,1.2106471277999173,1.297023167426225,1.297616784110019,1.1665142671291544,1.2217283510527757,1.262586790355894,1.077231832230359,1.1898301635873128,1.0845161810832875,1.1423864995217263,1.2876514168594255,1.1105689056848773,1.309276585251597,1.0771776734904215,1.4394699073497026,1.1345706883101263,1.0894821034610027,1.103089658181465,1.1021458771705386,1.0826701899904456,1.131755459730191,1.3040809739128094,1.0409694593531253,1.079073876118185,1.0129677087706797,1.0732534043649997,1.085562053359257,1.069931712444067,1.0542976248446583,1.0502073784958244,1.2047704167273585,1.1083782037769547,1.0091903514185516,0.9723561644824837,1.0300522630401678,1.0105607062044575,0.9517430512473073,0.8895334823913779,0.9985832882980195,0.9617921987847348,0.8741164961645883,0.9261246019463182,0.9242541719234959,0.9562587140034672,0.9110293688373672,0.8927515352586132,0.8746218778821917,0.7735250563444861,0.9142532828075235,0.7344848744486974,0.799968905940076,0.7633453899671603,0.7930907882375525,0.8746332653214457,0.9281551230317547,1.030920453124719,1.0421762261856422,1.27375700090324,1.1115031114808673,1.0909443696505283,1.0055084648210537,0.9562771122643888,0.8169814796302449,0.7056754523319678,0.7445453573418155,0.6721388361749,0.7553637644196968,0.7647045607176579,0.8617981739865539,0.787129322192678,0.8028189479658848,0.8568893360339491,0.9005323755818507,0.8662691425958948,0.8600895893798471,0.8943033299839649,0.8478656394645584,0.8599978706653927,0.9519981670024713,1.0771868932713968,1.3584061297807395,1.0928957220813706,1.0332865377440472,1.0535980684360438,1.0086131583641182,0.9677071624418964,0.9381153944175468,0.8811279625589429,0.8010778144328605,0.7804843656904858,0.8155229216453627,0.9899733430268494,1.5453600503282585,1.610346150589771,0.8981255261384821,0.8746317530953546,0.8267862861823467,0.8844934571977947,0.8988589454839229,0.9592454594338305,0.9837033192155588,0.9611241938395761,1.002684892951796,0.9899373041309972,0.9945921464809762,0.9849084692433125,1.1103756736349841,1.0124237449602662,0.9680097721037831,0.9187458135165335,0.9134722356388293,0.9294449636849316,0.9551887879476466,0.9668852423873092,0.9959980047436101,0.9938250137400808,1.0434506999122874,1.0483248262923395,0.982554189085355,1.0139520968116216,0.9110422365642374,0.9337666748527828,0.9725838945821537,0.9953457981765297,1.1430134692938334,1.234292875126595,1.4480377524448456,1.9724211087798538,1.401545814352928,1.3551661929387586,1.384181294030349,1.1020082760473686,1.033783423930971,0.9329980339284627,0.9191693371285619,0.8707477777892124,0.8153684568304883,0.7812593815311083,0.8163895635402518,0.7220707836584891,0.7387567921972387,0.7206991537178165,0.6822710007787858,0.6781898012104937,0.6922871211696491,0.7395276469466483,0.6959138543397041,0.7136389961459154,0.7349978695274736,0.7605722797020902,0.7613282562931301,0.8055077250457635,0.8198316245397818,0.8906038848414187,0.9195770586273468,1.0045718039568352,0.865959892047593,0.7427150466323073,0.7191221338905517,0.7887234244099958,1.811330951673413,1.0610926364028885,1.3935435842904214,1.0992798181181285,0.8407769370072732,0.8882940185376587,0.900417136519827,0.833489588828592,0.7953866026965782,0.8145175220391528,0.9072122520841208,0.8903318159281677,0.8369581309783856,1.2382384185858408,1.0976367419342874,1.0204864417244655,1.2564903004418446,0.811122448559717,0.8614537824726864,0.8610096453893609,0.8414517485376728,1.0639150786095615,1.0102878933189596,1.141495042475762,0.9365185925738294,0.8254842032908244,0.9328335648637072,0.888049974926111,0.7418340049972797,0.8442582710973795,0.9524139215265345,0.7852613881676003,0.7864057580227005,0.9356062600030802,1.0313700292453172,0.8073886048569708,0.782865055975931,0.7415884446590508,0.7199993744603153,0.7149343678565719,0.7494151856349401,0.7139147646375124,0.7040977354783403,0.7172206908622772,0.693590650244049,0.7177357265171919,0.7059513090567167,0.76201619290301,0.8667070764454672,0.7843093615450628,0.8855222618690395,0.8853359336848414,1.1453934281812834,1.024260880292504,0.9184525061474165,1.1712823836885111,1.301175190811163,1.0554736185689984,0.930349511749881,0.833437456498146,0.7768004112302024,0.955687921915531,0.8221300554743163,0.9083032842552498,0.9241223821617272,0.7980182722458928,0.7452503312095422,0.73684056644714,0.7376268067409867,0.8073339620378086,0.7094528126611347,0.7308821161596966,1.6886101396019901,0.6878988402637707,0.7094588134933606,0.9190020832956421,0.7349235027505653,0.6744114763163818,0.8379351052222873,1.2294518958583742,2.8902639015480163,3.4369685105660692,3.6726994740768744],[0.8796456394435177,0.831303497184976,0.9450589622365634,0.8574805671412805,1.081745060546472,1.0171289604095213,1.138198147138734,1.2490298356097924,1.1861522565544504,1.345972010157045,1.4763947421429593,1.5470871668714454,1.6372146643019887,1.5973391008735998,1.8436840141917752,1.8311056235157743,1.788187505663328,1.829958862822043,1.6849240937436398,1.7108096986141756,1.6214060750181902,1.5700275854859165,1.556357398879794,1.41258917754962,1.5080006186389314,1.536994591574958,1.543816405655159,1.6392371131360006,1.7806641323242767,1.8053386504755364,1.8859051161398677,1.8587713683351021,1.905509156072414,1.8817210773786623,1.8619043308693826,1.8301906749078802,1.798881030040485,1.6965762606569426,1.6187511506942907,1.5540615449728847,1.4694142731724358,1.5743186648270893,1.6023401069033705,1.5939066896890939,1.8011858676306938,1.8591253792051956,2.001550979888584,1.7437321013410971,1.684190104587766,1.8526841126757025,1.7478442021588356,2.6373203282929087,1.8260139064115732,1.8762594401879027,2.2130694443543635,1.6087551038426882,1.6448008087366142,1.7473792414413079,1.7853142442540624,1.7888988677033417,1.660660512012847,1.728642890032982,1.8863762805442705,1.7771354498179253,1.6217448728378392,1.7761860936497038,1.8064723190682783,1.7849175378186004,1.8015471051854877,1.8935404357520802,1.8294541409531304,1.8280186791051236,1.8448538161096422,1.8601338170134005,1.8485406391199222,2.100524627191745,1.8360781227048595,1.850741895303554,1.8491828852460062,1.7924462733577813,1.7983113103625192,1.7639787357639387,1.8861649329415195,1.6546406197313621,1.6322525490418658,1.6701056153589553,1.7204701858927272,1.812906918375843,1.8178462754818945,1.865079110872514,1.8709515174817013,1.9479882926860914,1.924246425614598,1.864977323969613,1.8596858868510953,1.8477600779545944,1.8670184220146224,1.8216219470426631,1.7273353227961608,1.697556131793849,1.7910312015609984,1.652008666913531,1.6957650150985697,1.621541975317482,1.6111676540726572,1.4846019455354003,1.4394984826925679,1.3828706911246937,1.2785281632824235,1.4290316980504425,1.243164923690935,1.3498722406706796,1.3430879319245388,1.308881099972989,1.4323146722144715,1.3792607616205452,1.58904389287749,1.3657197148443494,1.7067108553091908,1.8066361675392948,1.753661180123383,1.616839931527543,1.270899647878259,1.2035564188370225,1.1276559312263434,1.1340681729728213,1.0792798005458313,1.200950142366369,1.241543626200409,1.3880879853445869,1.239549107888015,1.2891143650434318,1.3030407132257948,1.4094007413338916,1.3064332916216648,1.3159965149236224,1.2339692607496393,1.1713317540777517,1.137086339979703,1.2747237995090328,1.2247626238147244,1.4451683562984505,1.3648227436598384,1.4289390592247326,1.4967340053052198,1.6071825379599918,1.531680860761426,1.5937895621651628,1.5333770217012377,1.450255347530411,1.3904693268143953,1.4285594688125005,1.523492537678172,1.8976924357818,2.015550320892346,1.6216801849728102,1.6322813752518002,1.5513353778107992,1.6494727810992271,1.5678167440626058,1.5310430076385106,1.603426141065076,1.4377656395561282,1.500971795474314,1.358140526268934,1.2450042485498458,1.2637060646187948,1.2919274861784633,1.233197142180236,1.202642181959139,1.2470420585059,1.2820710573851042,1.3683160249010409,1.468475310307966,1.5709499299070644,1.663520408243648,1.7127873440935844,1.739500540491315,1.6816797951478082,1.628559389297933,1.513283265070818,1.4938271099048375,1.4283133059716158,1.4046217585008431,1.399619896450334,1.4805280627973845,1.5582479250845447,1.6763289611461556,1.9599955491740761,1.5808252613130638,1.5446924390478942,1.6359812089088321,1.372181469505897,1.3480834050227228,1.3116574779137429,1.2957940900673242,1.2470758510763524,1.218042551103735,1.1723340395300672,1.238141111576646,1.1668789497862235,1.2022855174004485,1.1688742445716283,1.0671541826778108,1.0897262381557355,1.1031173768119928,1.050412027988969,1.024709454192647,1.0568252441693684,1.0217330057917715,0.9922203246647429,0.996121444394455,1.020706057165411,0.997498239354209,1.038709219523965,1.1495089169571717,1.1712781600448166,1.1313639082984153,0.9922514362356979,0.980826967045092,1.0526360470781135,2.069236606392045,1.3579880073920891,1.572530583601696,1.33962030014861,1.2411841701290922,1.343537771316342,1.3791113863826476,1.236514809266826,1.2268172640959185,1.2652626427077542,1.2646920139792792,1.2068532652948938,1.216503438876011,1.6046573909493664,1.3936058241058393,1.2672998467302,1.5315680903932107,1.1859454888785383,1.317507139071589,1.3670970372546285,1.3032536806057213,1.5071003702473413,1.4486117675392862,1.5830979162466614,1.3928625031594368,1.2802609416713358,1.429953418177764,1.3459895772924786,1.2074204332909029,1.2563007618224107,1.3215449960681054,1.1578448989903085,1.1457178711094431,1.2351575309575402,1.254234887842925,1.0664674982283207,1.05364268730844,1.0266559787626244,1.0852506969100668,1.156969692337801,1.17232431196435,1.0636339087945266,1.0518044327115992,1.1268106527182749,1.0286955689749213,0.991367593507204,1.0428156462143947,1.1159511398534647,1.0825094577436736,1.0480120127378778,1.1733958745921642,1.1649810285437996,1.3679987734421666,1.2718191614637302,1.1389873059198967,1.3720949491743648,1.4897608163406442,1.2363296886614474,1.1878447846890596,1.1253316289411133,1.0565600135149997,1.204248864318611,1.0952454260304318,1.131529626489902,1.1364302607114916,1.0663737467857315,1.0929530497779254,1.137960902658595,1.1373692744672534,1.1500795942112385,1.1982962948630589,1.192341171634201,2.0047350528899517,1.1488828775730202,1.0883190932140419,1.349812692074137,1.1767132131850981,0.9897519173585722,1.153490986043647,1.726854161255597,3.476663455316724,4.220842909834562,4.45062040759943],[0.835578008894466,0.7480897921748765,0.7916545925592473,0.6857309494626368,0.8982936915663532,0.9130397148202294,0.9791913961075023,1.0657704522220404,1.0564940046511015,1.1074961889765254,1.2137546542768125,1.2713329744029216,1.24626474626949,1.2197528741210335,1.3205230628077815,1.2613300252774233,1.1954125507492563,1.1096549213285198,0.9902955161746775,1.0342487089159533,1.009482129778943,0.988666888082476,1.0948020776981904,1.0952724736095905,1.0540407891312238,1.0494342727196437,1.0119609830865848,1.0452662185152113,1.1352025779377335,1.1993621674014348,1.219247138903141,1.260172701484205,1.3358583888935078,1.217963471055205,1.1837767389266542,1.143329312193993,1.2047270319065695,1.0959327950463247,1.0686839138814805,1.0412436432099401,1.0502168949836101,1.0110558236096785,1.028938607652446,1.1208704876309743,1.342891772297699,1.5379228560424867,1.6787625268823472,1.317554560658657,1.4238665374303185,1.5281322468544052,1.3551792711148263,2.6572721061864266,1.563103897197206,1.3465471056349148,1.6433820671415056,1.1192752136244901,1.2677319258910111,1.0909564127982232,1.1886292754077803,1.320166342629498,1.0784102182306188,1.1158527470359112,1.2473199185931125,1.1817100502126807,1.005375241416121,1.1078061261516639,1.1305572239116246,1.0393716113958347,1.115169503524629,1.116814398126589,1.0749441586035113,1.1758191463149812,1.078802155589852,1.1928020685427885,1.0780981770496973,1.4614653040982515,1.1069885705098497,1.1176583379039442,1.1225109299447729,1.0928740191674624,1.1478357623775848,1.2051849989669068,1.4204069101358656,1.1305865205564856,1.1457513876426069,1.1093801491355242,1.1123397861757247,1.2332234466766385,1.1035595519264405,1.1689366464122033,1.1538398044113736,1.2938584745508332,1.2534511443530723,1.2290698503626845,1.252051073528778,1.3228496593804975,1.3750955879249633,1.3211702640879313,1.3212695899537228,1.4313564083816337,1.3228444535231105,1.2512081760711333,1.2424385395088902,1.2482859822788497,1.1991867012632913,1.150666901015679,1.1506113311664647,1.0720614239353161,1.001621703330173,1.1617983694540561,1.0123391039040275,1.0538793859484377,1.064589280579692,0.9739730812369197,1.0552607856519354,0.9788332572140142,1.0514803345967683,0.9328279224556598,1.1353911466092108,1.1037337047036058,1.068482785762344,1.0858168137164863,0.9332996011369409,0.9012114656462863,0.9085466162781696,0.8749629719585061,0.8990993640963916,0.9469148288294075,0.9631420722246733,1.0667694181890337,0.9613634546613051,1.0010582316442813,0.9889274279365856,1.086690541378085,0.9970986406899008,1.0064234617803733,0.969865504878633,0.8867681509697911,0.8592779667793734,0.9367479890822291,0.9866171956117348,1.1823230426908726,1.0077765748869754,1.0056140120309476,1.0144124032859512,1.081868242284675,1.047815254158836,1.1331418692865889,1.1533939256526045,1.145761270568432,1.1324371862838736,1.23143444570037,1.382220628763903,1.924324681647401,1.953808856136589,1.352395576267988,1.291658152919191,1.218416303454026,1.2311427835883082,1.1987745793338596,1.1480408833446158,1.0868118619070315,1.0077424224979152,1.0354657580543782,0.9819354841280781,0.9477266944688402,0.9593554464713622,1.0212852572763136,0.9826373308918888,0.9595350421349474,0.96379467664809,0.9622832428453714,0.9966229500090727,1.0570413315582916,1.1000567718368401,1.1771998519256337,1.2065153901618029,1.2615588182265727,1.167817591595525,1.1495820473341287,1.105222531116506,1.100129152384356,1.0520058370821619,1.0460717849006482,1.0489838678688814,1.1519541974779248,1.2020020168809582,1.3314959206718662,1.8129695922064104,1.2843387516751046,1.3091412942703522,1.4021850090481813,1.1623150578896086,1.1034311518124513,1.028328889829362,1.0071377801265924,0.990820910370441,0.9661340520167049,0.9357834037602366,1.0214354680250333,0.9454035558657139,1.0163597650872511,0.9643102118421238,0.8586057828093333,0.8994053417565778,0.917899418268036,0.8587506912868276,0.8265113719191816,0.8866288122614311,0.8416301325119901,0.8104075615176154,0.8194800812173232,0.8609094930283523,0.8287144073005648,0.8671330633331689,0.9093628358045673,0.9842228035512539,0.8567144652462934,0.7895479328519073,0.7994987049252841,0.8661338817091571,2.1198347412550596,1.1848262112887793,1.4977890807729863,1.224974550620886,1.052086740175371,1.1174287026389909,1.133196844942852,1.012966647668019,0.9883024790652577,1.0367748805691661,1.0598104754929896,1.0171883006320297,0.9787341706088781,1.3639482337877382,1.1681313064366934,1.0703670547310067,1.325883734142063,0.9359873254138283,1.0510853952187797,1.1225835282416827,1.127016528099803,1.3632005068534319,1.3450668454720818,1.495294674497228,1.2437359060420683,1.1574096662124052,1.308765621347377,1.238014887568433,1.0473959138451818,1.1247972365319314,1.1803601271631659,1.008964483014479,1.0063339101198696,1.1275965523044134,1.1218059070972786,0.9222453318284337,0.9311604565440349,0.8682638276412233,0.9403216001613889,0.9901726966681206,1.0051982270478748,0.9100184942065658,0.8819366986638534,0.9543698958843181,0.8561482140830872,0.8349072455372489,0.8416762701092411,0.8908669127907505,0.8882293911713515,0.840317960577513,0.9377428381856548,0.9296568517553703,1.1522789171968275,1.03008403971248,0.9454698102718273,1.1461848007476565,1.301297415541195,1.0361626276286742,0.9227193400050788,0.8731152874263988,0.8113596749383978,0.9547615409575723,0.8403439024716316,0.9121220426719951,0.9579465091488415,0.8597056926217658,0.867803087737425,0.9161595507389823,0.9314401290982119,0.9862605207618076,1.02717852406325,1.0716878730212005,1.930114743230941,1.0266111744311062,0.9917187358441109,1.3059122844421738,1.0807853001112004,0.8902914182185793,1.1367516040419372,1.7338817304468883,3.450761236188413,4.295022668785658,4.607406615759319],[0.5686971255175203,0.46154825167043234,0.43606740396354626,0.36283168167091506,0.5462891352723993,0.41727205589138,0.4273808223293645,0.4385223085562743,0.4624015074117358,0.47883338729689257,0.5331381585145555,0.5889937671688331,0.5934738045766809,0.5798718945431496,0.6847188815249501,0.64218806358975,0.6827544461843639,0.707259879388914,0.7808763859120528,0.7786880835577679,0.8802566838543538,0.8583044883979054,1.0340180584188325,1.0316262943223087,0.9754775662337483,0.9307753076338605,0.7781373538033716,0.7065833672861371,0.7027597776470746,0.6759251039236458,0.719270159633287,0.6731941092818684,0.8061522992495591,0.7541393783067168,0.6879833078242091,0.7111298682078048,0.6920053877520118,0.6948050281744441,0.7104398088255511,0.7185287072480127,0.8001075904606428,0.8071067846176765,0.8406294500370536,1.0015847954461727,1.3167250645354898,1.518410996529305,1.656585693324602,1.2397659555560723,1.3072540902191496,1.451899153074973,1.2356465532516938,2.576287226924212,1.4618106389546655,1.164946589126064,1.5453814799041212,0.8961406689996715,1.1228309751820682,0.8639672014405191,0.995955440066037,1.209212670720983,0.9284354176635026,0.9805329606209585,1.093660393090832,1.108362635401907,0.8988138558382208,0.9130065991327916,1.0206617452030504,0.7992409335882275,0.9678337614498733,0.806905681664361,0.9451759115382625,1.1279499321833986,0.8835681188325393,1.1019140908912646,0.7828477998407861,1.251583372074359,0.839790068125649,0.7891901640684627,0.7701304166925066,0.7872446508331227,0.7460578746815006,0.818125316575601,1.1537603984329803,0.7127508808939981,0.7829799074836696,0.6786961183030776,0.7254828206745846,0.7953052215878248,0.7295459501318916,0.7531565195113891,0.7700612138632082,0.9998437475078177,0.8675545231124412,0.7809487412284926,0.7159140380060448,0.8407255201921047,0.7974851233851008,0.7180589305395674,0.6667324064332824,0.8738582060914776,0.6862585065145584,0.6627706810571361,0.6415495888585315,0.631931706104718,0.6348247735067697,0.6015896571825912,0.634010475760637,0.5909568868796925,0.5096986748598835,0.680479989652311,0.4524917252273165,0.5006595836910338,0.48535097438269903,0.4752844930673507,0.5458500543158765,0.5925408316401677,0.6890629903640556,0.7180912087118025,1.0097658807846455,0.7906271485949637,0.755346683948967,0.6510987247361373,0.6467932492773959,0.4985991588893522,0.4128034720012772,0.4409784052487487,0.3917242338998722,0.44316556752601416,0.4678533935803096,0.5657300675865926,0.533865826127532,0.5400005306046306,0.5846141688639546,0.6129624278392098,0.5934501013037153,0.5831870669047178,0.6940619052490331,0.5861039867821987,0.6044306862173141,0.6509583293271681,0.8568444672033574,1.0618119200852103,0.805656673939329,0.7344472327147616,0.7047263697838051,0.6629835099576881,0.6180402491853553,0.6038174466492061,0.5944321956469331,0.5472988800039722,0.5483795607894106,0.690115819774345,0.9766234715491534,1.6394785275416157,1.5815867870928273,0.7445629165821745,0.624422062071287,0.573790306846822,0.6130329895495946,0.6056237554865589,0.6732270931023675,0.6214292653480872,0.6179433235613481,0.6742136428729302,0.665230402201245,0.7397901600368344,0.7153586159196185,0.871356684317661,0.7959272305730536,0.7617482820613547,0.6785100520440762,0.6454436329160765,0.6348501021100048,0.6325317279188153,0.626683715369341,0.650402691995383,0.6657456601634208,0.7753926328505203,0.7103697502273321,0.670791171541863,0.6864397062037167,0.6057031477779355,0.6244091856865229,0.6621930443076001,0.6960954807737557,0.8780112040636053,0.9589067811139984,1.1456957726345096,1.7793610330999403,1.1225625136113686,1.1893381168797341,1.173099008421887,0.9277770961433133,0.8318245774356336,0.7025417659137404,0.6978117275815146,0.665839827257442,0.5965455132183265,0.5625411729075027,0.5988549278100747,0.4715019433397964,0.5075462252846347,0.46270368407109447,0.4218416354793804,0.43536932246180576,0.46377273193402263,0.5074915969493159,0.4540538158200988,0.5126465958193613,0.5133005451133533,0.5297047940684609,0.5551164696562046,0.6282388734013501,0.6055577304548869,0.6765697127474243,0.7066586394992926,0.8273420942307071,0.6638543277633354,0.5218961380136898,0.49651293886422754,0.5692778532473635,1.87660800516704,0.9146237729800685,1.3744803009246662,0.9837880516809316,0.6900176043368536,0.7320156831103772,0.7455084166258504,0.6422893961959264,0.5554534147165326,0.6307576446051798,0.7070407182239825,0.7250541796226682,0.6168638842976095,1.048989847364839,0.9055273804855022,0.8287305708429866,1.0918327203035976,0.5866625437540741,0.65259206166305,0.6695033581090736,0.684241677198632,0.9396084548260834,0.9283714747931714,1.076388290855841,0.8021922686471751,0.6836316566152569,0.8498924698433667,0.7922661588214048,0.5631720390761257,0.7018008362981624,0.8087039833164633,0.6036762263620455,0.6229909706588643,0.8190401735176135,0.8888876090911191,0.6664716164440383,0.6555331048086622,0.566845701139222,0.5403057250788447,0.5136434847630832,0.5608247487715426,0.5086443406835828,0.47425921338108773,0.514188235121388,0.4643833124330885,0.5004139276577394,0.4599884821443591,0.5175715852120921,0.660976235918876,0.5831852322989146,0.6782011221627398,0.6861160051229519,0.9645100714212468,0.8326639829381851,0.7445636543532659,0.9833108631273356,1.1713851188133892,0.9386570989502897,0.7568690267865456,0.634995823677555,0.5494870648764972,0.8048588439593904,0.6417549629788085,0.7590379216292878,0.7812773350941639,0.58932151079236,0.518013110090695,0.5029717016927779,0.5087889857769295,0.541416606783281,0.5220915247728201,0.6666735849759744,1.746190593088,0.5409460512612844,0.6126684973162653,0.9741053992442075,0.6579119556001062,0.5151180286206452,0.9207549064209967,1.4087440717723463,3.052414416767223,3.757021222722542,4.0550111265023565],[0.5863782122395055,0.45224348398027825,0.4231952645801399,0.3498981634654888,0.49001757149470204,0.3766776825947041,0.35070008272330094,0.3478759551371383,0.3723345689483603,0.32713318849134243,0.35959638259717147,0.4378652157663428,0.3800232616646693,0.3819097112921721,0.4753996298716208,0.4178217476762578,0.46679986035371424,0.5019922990507479,0.5929415064478707,0.5753725110224949,0.6700393872685257,0.6373491576641838,0.8470000713615009,0.8917936637112326,0.789235919201621,0.7342484549110684,0.5685819518784457,0.4868719770740694,0.4777544635505168,0.456655833950913,0.49849385743268554,0.4577390937769262,0.602360316803164,0.5463737771647952,0.456110111981281,0.48728312788164174,0.46769144743870755,0.4725292477011599,0.48947910930090843,0.5025521627135787,0.6047378695067281,0.6216886659219433,0.622643325421562,0.8169015145243367,1.1787432054953473,1.4495316152027704,1.5560128741875041,1.059909093488743,1.164741860879674,1.2831362874009353,1.0408194475714847,2.5891063373715775,1.4239760747402548,1.0041311572083926,1.4687370173582763,0.6659737202035728,0.9978872943306814,0.6526557027392407,0.8902063439433393,1.0117825228948711,0.7365533358914815,0.867019836741097,0.9392518583948242,0.9244025826945236,0.7121291549457718,0.7172278629909813,0.8655753506835596,0.6264640143100927,0.8231516789191763,0.6275596640981972,0.8711860583348514,1.1095517714187717,0.7813760307970836,0.9812679810622813,0.5849540329698536,1.0814947825954744,0.6070242477696127,0.5432248169999471,0.5251095400072411,0.5633347567690836,0.5425005989899817,0.6170644291540957,1.092921289569996,0.5102480896166208,0.6345334004431656,0.48951704583323674,0.5034986122556369,0.6148527677713309,0.5097354499500512,0.5437413907110967,0.5583236642857929,0.8248327824832651,0.6635585746982361,0.58726955823795,0.5084865410399692,0.6641766341080828,0.5929496453564157,0.5197804898620692,0.4807602431676512,0.7848255961314495,0.5029250147248591,0.548031458826676,0.46677309065157135,0.48363692191387836,0.47274292833431686,0.4582890449637515,0.5534143718905778,0.4550385204914599,0.4128099044689752,0.6172765091467434,0.3585029001951712,0.35691164470411124,0.35382430907053214,0.321613549997877,0.364410709062154,0.40352164922598815,0.4662362333510362,0.5246351245780019,0.7970294945711017,0.582479524543139,0.5585754445561969,0.43928140097463203,0.4879687360614517,0.3638535150852594,0.2924160386996864,0.3163610000923643,0.33532429750848614,0.3379948431477172,0.3624901290909256,0.4393290361816075,0.4272014760362859,0.4384400716399652,0.42260472640395014,0.4732020275012237,0.4356798702965177,0.424675746619351,0.5979958452281585,0.4529419103283127,0.492149664652783,0.4753244339823238,0.7157613349806735,0.8499567029536658,0.6032905540949549,0.5885800214191089,0.4816742257861807,0.4403514178153285,0.3996261384846532,0.41081183277213396,0.4014505187385829,0.4066667125927796,0.4493849852475033,0.6266483029037916,0.9752776405224688,1.6362360836644676,1.5422349394842767,0.6576996577024341,0.46388570301164667,0.4412069851788559,0.4420912041177376,0.4329546956676649,0.4718262751060498,0.4192965403951516,0.41766199079634186,0.4877580101566374,0.4606590920141522,0.5703682010309531,0.5366277352276908,0.7161834231081418,0.6567748562697816,0.635835122929386,0.5268689479346296,0.4729225554238005,0.4619801788372002,0.4319789145858604,0.4139433776891384,0.4439815512618148,0.46345557464772813,0.6328430522898589,0.4911055893488055,0.4789668178882514,0.4799978186320211,0.422452627360823,0.4344934000153109,0.46391384391231005,0.5003252501759745,0.7011346116831879,0.7997669464806608,0.9250758562900464,1.7492646284637527,0.9254677380187449,1.058413705451901,0.99837505645152,0.7852977918100488,0.6901891309605561,0.5475052669647068,0.5583878020345402,0.5755812700032559,0.499438600252,0.48263341004228494,0.545328206031835,0.40052316779986047,0.45131157046304043,0.396088277387416,0.375476134324564,0.39070142778381434,0.4215959153195425,0.48930692133492765,0.43347527204900443,0.4954063926807371,0.4930156474269664,0.5208628772243687,0.5482174669848298,0.6178591938589197,0.596802981285743,0.6745433169863938,0.6911716826800537,0.8185422190884281,0.6662338544797926,0.5146404054123729,0.491710335812654,0.5618462883539692,1.9358629341227063,0.8992719970903073,1.387206801492556,0.9478756099998373,0.6377575409456272,0.6835591031620857,0.7087095568448105,0.6009709625808951,0.4799631052995194,0.5965410229327645,0.6557901013398657,0.7044698521997789,0.5648724904877134,0.9608416065961558,0.8194259537238812,0.7781730341100911,1.016832083649542,0.5319047916229228,0.5727917818242577,0.5938338714951161,0.6447950242145432,0.8886021670927022,0.9059876989836924,1.0304262731271685,0.7582971479961107,0.6466256009572067,0.8126886953524753,0.7631921279248036,0.5336651955520259,0.6826342453657939,0.7894695905080296,0.5832920603246279,0.6090093294291677,0.818915972359274,0.8846697807961029,0.6655085356106576,0.6603215460602765,0.5635786236470279,0.5307694280962414,0.49355881030116433,0.5294839488074522,0.5009464880035928,0.4556032326016383,0.47900207419318896,0.44686107704127825,0.49201581564432023,0.4292085985402442,0.47061779885069044,0.6473144252598688,0.5758180464049406,0.6302371613772642,0.6382076077452584,0.9090849359521517,0.7944220364619389,0.7341150424574612,0.9297444854918931,1.1265732814357525,0.935777196838319,0.7537536283719588,0.6257705342097473,0.5377940478215759,0.811509057828631,0.6559227390809118,0.7733533807462211,0.7841997553376191,0.576472845131879,0.4861626797007987,0.4411573566488859,0.4487785799424985,0.4949541609487375,0.4789271762625928,0.6630002237064478,1.7243894112445426,0.49412086779481107,0.6013160767374486,0.9510643002068623,0.6253666841544492,0.5027454318696494,0.9629168076742842,1.4005798355773724,2.9880040606499105,3.6575856595620984,3.97380554294237],[0.5036929357326573,0.42686758502697547,0.4515298374287206,0.3400257685475612,0.50439476016658,0.3218636494401412,0.31522428415891374,0.33416472987382745,0.3752628739687653,0.35329886437995045,0.3674974203310411,0.4216185727933217,0.3819602939703652,0.3942547887803272,0.4673644840079055,0.4059661770853723,0.488863035560059,0.5104887868796736,0.6020070916485961,0.5882407704893284,0.6861623889298599,0.6708707064764392,0.8709100829993486,0.8854454585966723,0.8475911561022491,0.760031516945996,0.5814170477461998,0.4990324924984721,0.4856469769315344,0.44861159430629916,0.5184944557961484,0.448657367387186,0.5928203940724764,0.5417189635260473,0.4665810795482872,0.5017747920789001,0.4493711741758322,0.48634575773384264,0.48678772563670136,0.5230601586152821,0.630604165393639,0.6215653125542204,0.6339283877276993,0.8428826223174435,1.2260118073597974,1.4938397523736868,1.647799303119144,1.097235304264017,1.179333022849258,1.3374602576937646,1.090864386222713,2.5330058567768248,1.4104318771977444,1.0281642571677396,1.552258065883757,0.6924029121793851,0.9650398678932721,0.7306268972955118,0.9380352763830195,1.038543009918938,0.7419969593530842,0.8277783714655583,0.9126199109357764,0.9169535215101202,0.7340776176542502,0.7290941391369739,0.8621484030923465,0.6300239086922859,0.8327502625302526,0.6375745033986642,0.8696328043234112,1.085494669432911,0.7708388815422591,0.9884964969591563,0.602724336064584,1.1114496163938412,0.6280424713783904,0.5708068635316909,0.5582211471347822,0.5976492009031394,0.5450304042966551,0.613001045237904,1.0836999770910338,0.5008576424215428,0.607337089262438,0.4906995691359831,0.513000102597085,0.6185521045376268,0.530856019067455,0.5560699017403992,0.5769496910914014,0.8519178414416148,0.6934379965316341,0.5914473206672559,0.5125290500212962,0.6604581357103473,0.6025669485793139,0.5135179305420506,0.4606320763395603,0.7450815360877653,0.47500032839774836,0.5528061319531119,0.4355549351819576,0.46635082810261835,0.47988423048217643,0.45755775752963684,0.5297304078656343,0.48122314139286326,0.4153173945194371,0.5914224179716573,0.3491983638505279,0.3685566981086456,0.35063654284079454,0.3607630846417444,0.40243927614638214,0.43061391108774116,0.4901122487890823,0.5537340939343169,0.8361053928693496,0.602471820342524,0.5939619484512224,0.49096117170921644,0.524238585087142,0.38300473420375497,0.31745750425664604,0.3231714450658295,0.33405811648149863,0.3275006262309177,0.36982906112206193,0.4511111660667353,0.4438520650544558,0.44352580068367586,0.44452970398118513,0.4733874748025643,0.44600129318608617,0.4316244199670868,0.5823405446120755,0.4771254855918486,0.47587690452999076,0.4865608473497802,0.7172852906106834,0.9167078527088102,0.622201168883318,0.5766152121437542,0.5055962668968177,0.4586554479354892,0.42366514953920803,0.41926518798054274,0.3922639400107042,0.40264340798725834,0.44863160779853567,0.5995038830098315,0.937916129943373,1.5450191386475136,1.480327144470724,0.6069921151032381,0.4358506297520108,0.42843535799879223,0.42051511760405624,0.42241086395989785,0.4790424395434211,0.4417891326397671,0.4214590748507426,0.49620525075283595,0.4896438988449996,0.6170723229788412,0.5594537335319237,0.7538213567855704,0.6886134726311628,0.6531714160743934,0.5439122252386122,0.4914536100196445,0.47891915073587443,0.45380064937126746,0.4207710080538259,0.44059762468081376,0.45702964647816835,0.600934062432179,0.4855430364436502,0.47004865965636594,0.5136794319871953,0.42777130152676357,0.4672749032890849,0.5116417975847373,0.5410265921192656,0.713715546651372,0.8201884448393619,0.96626146473884,1.7841911641654529,0.9920970826294565,1.0603994135987893,1.0042525195383778,0.7856507684230823,0.7081526966346898,0.5733737134143593,0.6056504414514547,0.595862219556689,0.5250226991226898,0.5073347205743816,0.5483816553938303,0.40836614761996276,0.4335517147262542,0.4022096415951494,0.39099082867563895,0.39982760341910323,0.4475507186410615,0.4848693562049808,0.46061585643044983,0.52362745507698,0.5308449793102276,0.5526141578037334,0.5904482519860923,0.6695452919931054,0.6345763674320228,0.7344094029570107,0.7419451681783884,0.8574512845562693,0.7057373237723933,0.559515834119734,0.5313003296014804,0.6049747587734888,1.7770947524423881,0.9012366431577147,1.3753557153001945,0.9672478159623958,0.642882867035856,0.669563916321873,0.6487581233020576,0.6382432279073408,0.4928507349928354,0.5758812795865893,0.6724814626757032,0.7523769265823379,0.6077083079831943,0.965525567892884,0.8900583714923337,0.820497978830117,1.0250251613456982,0.5527048888545151,0.5959538800404014,0.5660563044022803,0.5965663542353467,0.8384238371986744,0.8073635814728186,0.9520289899965898,0.7092678252996866,0.590150726174845,0.7466887237848222,0.7125051663794287,0.5315573091725448,0.6805889803283687,0.8041473545877059,0.6208880461726297,0.6448822209870912,0.8334306244016536,0.9386052355450932,0.7106927795321776,0.701466755231451,0.6126949318788512,0.5637258547717514,0.4914083813994395,0.517673562748217,0.5134195985609941,0.47622497949445425,0.4795955687612312,0.4656097138573228,0.5167741898770454,0.4487011789805531,0.49498745724547677,0.7065273917698562,0.6023484037203137,0.6690112135466948,0.7019271845821811,0.974933458736032,0.8557360783910908,0.7662110248183684,0.9694628709685918,1.1192590744804878,0.9837120142021711,0.7740526370366513,0.6476499181717114,0.5553427618426591,0.7951401958345592,0.6527682486222288,0.7889940679934873,0.783052598226016,0.5873708816559052,0.4935636926821792,0.4494941166332534,0.44760847411389937,0.4803464754426242,0.5186039488651399,0.6499771541198277,1.6976297920546766,0.467179957872716,0.5527894746069215,0.82765773206631,0.5809852731589392,0.46178461748304467,0.8680996724277225,1.1326028707760134,2.569357074715621,3.011635832886166,3.3152966048669645],[0.5540814536371524,0.43283129437184326,0.4210733851688477,0.3610833618108138,0.47922475721991775,0.3316853152955415,0.28968346914139753,0.3222360822291006,0.3164873985860043,0.2591677352388926,0.28010734575224056,0.389051176736359,0.30003586529619325,0.3286634000298384,0.41457309698727884,0.3686560138419904,0.4312134983662185,0.45596516357975037,0.547878714958531,0.5250759257994648,0.6162837513279251,0.5841876691500651,0.7944180622711273,0.8284361012196091,0.7482309667502346,0.6782488342686319,0.49639286001752214,0.42294163553968167,0.41583307932074126,0.40429679680793346,0.47236561725089626,0.4276660769422889,0.5638756207177118,0.5102244423577492,0.4144979022367109,0.4424579718912139,0.4107386131586707,0.413768024723797,0.39826663328560435,0.427710309648027,0.5514043461743485,0.54763434720536,0.538741278692644,0.7452746614952483,1.1401378503093045,1.4441928520783551,1.5424487186616898,0.9978355217488664,1.111202994641404,1.2414769451120924,0.9863019685271576,2.5827245564386327,1.4374076470654582,0.952402358299011,1.4757371044686154,0.6000735547616399,0.9536596830552134,0.5832033172460975,0.8807954498357626,0.9719843634134502,0.6977937600090963,0.8503587562928681,0.927064011069231,0.8782801275375969,0.6630873133707033,0.6757534371421832,0.8446471011317559,0.6190304509174029,0.8247406655636834,0.6304459781321787,0.8882147263032526,1.138668480647269,0.7824563700446159,0.9739506223348838,0.5928180516286151,1.0675835888570728,0.5861503961319019,0.5233975902671141,0.4887872526319921,0.5067958014913674,0.4932990110984706,0.5573388795020718,1.0941991543939902,0.45381455854583896,0.5521183435635733,0.43055482074252527,0.4442212906671197,0.5489336619940501,0.4667798688071872,0.5129054566696472,0.5313475865806009,0.7925869555765558,0.639256720809527,0.5516042821712632,0.4809451197568529,0.6226424139314769,0.583211757212325,0.5055092127870484,0.45011789408047925,0.8045299339197307,0.46083245161534203,0.5327598498811856,0.4015234569989467,0.4428537148888248,0.4427141638159557,0.44373410702895494,0.6016914592299891,0.42713738018309044,0.42058658199211274,0.637525141992097,0.38180904215354555,0.33209734005517405,0.29444935865060906,0.3083511085166153,0.3420672503916914,0.358261626468632,0.41328810265843585,0.4785885148187747,0.7378049437349974,0.5549677104633045,0.5310676531818572,0.41214062919158667,0.44496775265225086,0.328056928088776,0.28484816092749415,0.2962513105879807,0.3618544287748199,0.3197462549259956,0.3286347214565979,0.3774323882916054,0.3890451529791171,0.4140781765944077,0.353260280082315,0.4314190130432647,0.3783427915678734,0.3689813466189194,0.5756801540970724,0.4409550295086327,0.47654121844926195,0.4204799998788286,0.6881729259159457,0.7993715904981232,0.534963426808529,0.5327055571909087,0.40979517056721776,0.38774661937038285,0.3413879899639035,0.37428206613565446,0.32751178542705006,0.35265744194551857,0.4289718399721162,0.5765547674448569,1.0056533181960337,1.6374592287607088,1.4804886387814957,0.6026183388187909,0.40239191492616366,0.3956204839801773,0.38025632128558357,0.38613006004750283,0.3938986218602367,0.3700430004718665,0.3546815148431353,0.42090274161803687,0.41121947558821026,0.5624770502556871,0.5134341093011763,0.7168614809425388,0.6644522059889185,0.6494432618848681,0.5062103990765644,0.42148139794721995,0.419479701040323,0.37597929149958714,0.3431581873030499,0.3805928297376031,0.4057727154029898,0.6107353398859169,0.4212885270405298,0.41565529391859957,0.42556585793900814,0.3644196076160156,0.3798697283631368,0.4186455458896016,0.4562050999994272,0.6520452395346924,0.766167037481337,0.8645961862592912,1.8119255435040602,0.8897388318679869,1.0115654901149487,0.9132497689270445,0.7189914722421507,0.6351193040731498,0.49583456306944385,0.5242134351606819,0.5548742456988813,0.4655321400236921,0.4702334103723314,0.5271260799105232,0.38307952287729224,0.4270544786317931,0.38713575003830725,0.38741239493786467,0.3890206295498146,0.4261843428112103,0.49726539087045923,0.45338481228247485,0.5142012095223447,0.4955368740526666,0.5369714157017493,0.571363282840153,0.6290048198291727,0.610253073819594,0.7082616671624924,0.711240539952592,0.8522026282512466,0.7007073294597802,0.5439867039238041,0.5249825089026341,0.5704732834792626,1.8643427823409482,0.9214874910210226,1.4682250170005688,0.9259376205943958,0.637559871963993,0.67181696749197,0.6722417474661717,0.628762930332078,0.44689038408461157,0.5670342220347764,0.626937763237293,0.7405343003688142,0.5668644826884393,0.9151355185342825,0.8292750325604902,0.7808680549126483,0.991008165227904,0.5332561747703598,0.5262269070726222,0.5340000251004536,0.5982867021781836,0.8065748894956324,0.8344971381329772,0.934107018360481,0.6914662280652895,0.5942114672068523,0.7407829326204157,0.7000679143756448,0.529878897989625,0.7083021346137555,0.8206167928715997,0.6096772384989185,0.6483795379979972,0.8631101353202576,0.922101855626008,0.6929686404524309,0.7024183572351039,0.6035143007596756,0.5692504650725866,0.5075124679150643,0.5175030114364747,0.5291531382939184,0.47536983990216825,0.4763537092002294,0.46351082709036734,0.5104281114951317,0.4372988397673362,0.48251895334172423,0.6850885844915713,0.5960742337616957,0.6525537251387363,0.6583747749163513,0.9230126084120313,0.801056041932904,0.7528452570408074,0.9029296166292483,1.088368006225874,1.0123232366376824,0.7689738329091105,0.6296278156798509,0.5432934860838157,0.8197007653342887,0.6881162288343377,0.8149688472124954,0.7942768765856325,0.6118100249069645,0.5054841636586366,0.43698588817242334,0.4317397842863429,0.45316006460867986,0.49779137217411046,0.6850311984018334,1.6958997357915624,0.4663224416401642,0.6059193666636502,0.8720333400611953,0.6123448215107692,0.49050635019462585,0.9951922501260783,1.189937913789424,2.490833606433213,3.00298342304793,3.3891374971073347],[0.5078705545597477,0.4737616140014121,0.4330708855598469,0.3532785930721027,0.49760454740026566,0.33086480419632647,0.304758313941809,0.33454855223707686,0.37856425674350985,0.3383923617363567,0.34959978094334876,0.4242632479002734,0.3453572288968997,0.3850015194648439,0.4324050920871849,0.39565502642666206,0.47613469456441504,0.49794552861585556,0.5882598124669816,0.5816480033701585,0.6415316145889899,0.6251744231800185,0.8114864428410192,0.8472191331524427,0.8277808105472608,0.7141027274262648,0.5589279269097299,0.4891464239788733,0.4643507394689116,0.4241561328486276,0.49449621080641526,0.4496120762360324,0.5440919013901571,0.49414076549044006,0.4318083001488567,0.4719552895892781,0.42177394856982825,0.4508890950996733,0.46478815784732613,0.5043972064533445,0.618026874512441,0.6103724832671075,0.6123330295561871,0.8401851521958172,1.2683491996070189,1.5612729661276883,1.6910875617289076,1.0854985342351036,1.1544904820277215,1.3264910382396118,1.0774918567512002,2.4586010627982895,1.4177486400859876,0.9825020621899899,1.6441855862510668,0.6724867881016491,0.905773887341928,0.7646613420691916,1.0072176136816797,0.9922886543381332,0.7023193697469163,0.8108631236868818,0.8795753536070999,0.8619875828821613,0.6731962837899149,0.6934656266865497,0.8414078831281627,0.6177959514096815,0.8075926016896192,0.6249367987971259,0.9050608127698925,1.1030764761770806,0.7766586576902459,0.966022006760819,0.5798133187791447,1.0171563745194165,0.5952936540134426,0.5300239014784952,0.5188955283719889,0.5428739807358749,0.5077422392596371,0.5908420491882429,1.0478150260704557,0.46548279863494285,0.5825643276815197,0.4598104953497356,0.4752521852074636,0.5657260018983743,0.49425641138969995,0.526921455014565,0.541078231171421,0.7960947946656376,0.6410467223835985,0.5308890165754516,0.48035585706245143,0.6170342879004869,0.6030647328485711,0.5041478924559876,0.44647398378550235,0.7518136357875281,0.44617628223926925,0.5449139611119141,0.3975091002724826,0.4229994113778116,0.48258597115801355,0.4542988398296282,0.5666785358627557,0.4938460052461964,0.4537770091377346,0.5942133194615716,0.40358713662404455,0.37856951966591995,0.34288674401430275,0.3764179794870468,0.3836398000091788,0.4574542678459867,0.5063975509598762,0.5543241476514145,0.8023097394921965,0.5936373347649238,0.6037586553570242,0.5042799514127815,0.556036706658694,0.4302181591658573,0.3510287817693682,0.35031776351174243,0.40009160241833325,0.3438948075341587,0.38406271618968824,0.4312448676696433,0.4547282364523032,0.47388374725088356,0.45229623452313333,0.4629015088169891,0.4391232783079436,0.43314691247992665,0.6189547364919356,0.5202962119862234,0.5079594996845773,0.4857829221461727,0.7590418424206662,0.881050083463878,0.604247275632281,0.5775566363514771,0.4979874260196706,0.45627124638325,0.4300356705666821,0.40805224968320003,0.36944463185375814,0.387247041759049,0.438870275302727,0.5265858708990682,0.9318584778470063,1.52977123910247,1.424621186789392,0.5552534405880354,0.3870516649645946,0.3876906371108351,0.37537084931880565,0.42178305011404715,0.45932466293316454,0.4269504791398243,0.4314769363841722,0.4899702741405301,0.5133302708309744,0.6876739451398352,0.6009940784459143,0.8023919764614305,0.7476461908329884,0.7294994315693951,0.5796865061614919,0.5035720105677368,0.4882427897949878,0.4533114269087678,0.3979253026087718,0.41897829103498146,0.4328666975925159,0.5994460242801306,0.4545764480218223,0.4306901256358467,0.5157251626663933,0.4245984042163139,0.4663146881141851,0.5094964072508354,0.5398789613758064,0.7122294535349394,0.8133420391669558,0.9218674858751559,1.8690548975445196,0.9726087275210351,1.0547477589175702,0.9269785191013618,0.7878411078570167,0.7259777931309367,0.5937878189148724,0.6249229422007435,0.6010241396076555,0.5238567521842031,0.49931586044036874,0.5450633143562693,0.3919847968650741,0.43060986718248223,0.3992258661936094,0.3850309906242764,0.39484574268326494,0.4433045854891347,0.47369726338822377,0.464099346471154,0.5437652337583653,0.5337974891765006,0.5616892888043148,0.6294982133498457,0.7069983599431359,0.6579613437578132,0.7711717771449084,0.7490904695186514,0.8909636250592309,0.726941879390881,0.5665422584797831,0.5650447405226076,0.6149046439870688,1.687465935353152,0.9305529322733321,1.4385720144763532,0.9421190754686756,0.6313767666865546,0.6745622024955484,0.6361855579167967,0.6823196965739906,0.4748995002906429,0.5681643507581428,0.6795790341016977,0.810286941901132,0.6306134486484036,0.9102596505206108,0.9265839186636836,0.8281373948927084,0.9954028660515714,0.5506849686419596,0.5646267814156223,0.5269319944918752,0.5695965409575194,0.7750218797386802,0.801745587675517,0.8818208122225769,0.680309651802963,0.587042261133083,0.7420889049108165,0.7045682821107434,0.5532341523602259,0.7216587123479413,0.8522770438646986,0.6582547834769135,0.6960562679220671,0.8954958181257304,0.9976382492444139,0.7425931122061626,0.7478595627489854,0.6551890988778872,0.6067181798311025,0.5302876069788512,0.5391528641616559,0.5555460209350344,0.5001179505613818,0.47470160504191916,0.48888485404079207,0.5376760639482936,0.46097178752475015,0.5003604682035879,0.7338512420513433,0.6100353483321075,0.699409409795695,0.7102265482103179,0.968363662773231,0.8227862465278467,0.7547530034814821,0.9210558635215305,1.0577177540634277,1.0400369599964632,0.763849229932075,0.6309152771335282,0.5406405429899233,0.7540875171630372,0.6539552671190287,0.8119108357598998,0.7786248797349076,0.6112540422500101,0.5011352188363667,0.4563143072580534,0.45363214102090765,0.44424569703743666,0.6044510267805844,0.6920366799271275,1.6538063222519668,0.4951194894286331,0.5504669839555857,0.7381741790485175,0.5617672587882263,0.48260648798152156,0.8678075524112626,0.8692863612079783,1.969018760756286,2.2296509392011497,2.6853705417742835],[0.5084760829720574,0.4182259601942198,0.4043138643300556,0.3228185326734647,0.43099181979699724,0.3346215816642247,0.27357616159315085,0.3494899882235246,0.36527064595909126,0.29720582728676653,0.33796757767360663,0.4343469456192169,0.2977099616189311,0.3097547537773335,0.3760309599516355,0.3472942228288251,0.36942660021082807,0.38657678378487614,0.4400330273484181,0.42716864276165495,0.47544904898930557,0.463215979493117,0.6692531336401227,0.6928473727581597,0.6791686550620546,0.5497606817810025,0.3999032946298999,0.342452759387908,0.35020428098633477,0.3519269612834023,0.42275824703149034,0.4130820872248128,0.49797373352179214,0.42279360407907235,0.3591581210645464,0.37392286049275336,0.35868747314969995,0.35666723394598,0.31900253880573687,0.35757012583680253,0.5259781706528834,0.4884467095467901,0.4602476451464723,0.7044695369059701,1.1839314363166622,1.5266433833009054,1.6025961639122461,0.9598162208331766,1.0549873818446736,1.235445601203717,0.9525599350401084,2.409275278350201,1.3863721501839477,0.8555165629249687,1.6425006248684888,0.5340174798117925,0.7886578035861583,0.7151542505266569,1.0770877640547867,0.8665532581590146,0.5774641917074677,0.7599985830316526,0.7925729998017795,0.6826028351666219,0.5314540944012008,0.5554911518051174,0.7293501242166425,0.5137032055097606,0.7109764632931631,0.5499204253761852,0.8649956527040461,1.1051989266358375,0.7371776698130605,0.8580633821144437,0.5184005113860368,0.9776112057892031,0.4761860661753614,0.4344951394627361,0.40287695124745815,0.4378378914645515,0.46436421934768013,0.5037578039023737,1.0399362947752415,0.43425277776645893,0.49525207494730067,0.3954717914448392,0.3738915316124363,0.5245164741975651,0.3810347029760831,0.4491283166835358,0.45321491827415594,0.7008426340252889,0.5599126650302786,0.4627942846529512,0.4291297783926239,0.5472786304930902,0.5551469015702183,0.47530441076003227,0.4493016545112875,0.7973656422208069,0.49040587390456175,0.6085057865957109,0.3953909759645333,0.4644284099761552,0.49064238446177,0.4697690978812503,0.6834468064377596,0.44326965459226636,0.44269725085276124,0.6080691504648276,0.44631843361214607,0.3617232288526956,0.2975157598992667,0.3238508193945849,0.3002175956661313,0.32025756680883805,0.382895058239928,0.4002509857908044,0.6299271994175272,0.4734496839325592,0.4757472934714488,0.38953102539196427,0.4056115256634377,0.30510810051615445,0.28184457438522365,0.3103449430780587,0.4371038980776551,0.325995500239053,0.3568151581192703,0.3929012486495766,0.4226656670787065,0.4873150592481818,0.3977968102268859,0.4594621338342402,0.38085609366081724,0.3679430906908067,0.5757302450535748,0.42937064706593564,0.42928285340523337,0.3458903181036442,0.653602106767236,0.7186414908189229,0.461838519982804,0.4606599042334083,0.37986298837030286,0.32599145587732087,0.30226600323264347,0.34453005029444667,0.30872439807251917,0.3584877729207914,0.4687738550656916,0.49615828462945505,0.9358993616080178,1.431670393540431,1.3722595376041662,0.5758236457669957,0.4230540234382197,0.4237925932008419,0.3718376492680361,0.4180474284789433,0.36826647593951284,0.3377285059106991,0.31804908135374776,0.3693672772365422,0.40183488602952383,0.5676830487306382,0.5008789232894764,0.7126819299124953,0.6996619490244614,0.6836780459360067,0.4939862158945713,0.3934079558211455,0.40615718077448015,0.37450204444448515,0.3178902793741719,0.3878452857386058,0.40003975439591616,0.6202861523414076,0.38457360330941714,0.37961673388881956,0.41125198342035396,0.3758539008224517,0.39188027461067837,0.44696823718593365,0.4542568912592452,0.5964729100218689,0.7214651590714942,0.772324740325165,1.912095961548944,0.8267932875768976,0.9465501999979856,0.7907420964283737,0.6895929667341318,0.6378952533396467,0.5117244420207183,0.5684418433900412,0.5653619457299691,0.4842434257785924,0.48833601696163303,0.5584104578924712,0.40423177880136685,0.45997451727082106,0.4228554690134539,0.4081706468782591,0.41865488462786926,0.457315723939464,0.48198769746194287,0.46740739849906604,0.5525417384337188,0.5142615642291959,0.5372294889376832,0.6046988687626378,0.6804844637817862,0.5985598055592535,0.7104944961816512,0.6946804962270475,0.8711918417756144,0.7292147259708852,0.5645488335485465,0.5442591260067644,0.6105453618274235,1.7255417912681572,0.9572551742057213,1.4771647239091585,0.888367306000296,0.6294784639092775,0.7120954051297241,0.670476247601491,0.7268321441331839,0.4814965825294351,0.5923104533974838,0.6696170642757713,0.8430516997952515,0.6585757329386205,0.866316066410528,0.9007188237625178,0.824533639558129,0.9720431033445395,0.5744232387352869,0.5460276961186904,0.5093132046959825,0.5873790735781143,0.7694381081927353,0.8256785333862083,0.8571412373115995,0.6914895844715867,0.6025490287910259,0.7470289022527157,0.7228822830014829,0.5875257119601603,0.7674441831701626,0.890545862744112,0.6961133885358884,0.7365078908882295,0.938957460533303,1.024220422746556,0.7518985004223736,0.773193716341749,0.6728480723220938,0.6311057063470376,0.5508254073561644,0.5367428391752351,0.5691714036997588,0.5030592951884137,0.5057051567170033,0.49444793330477504,0.5308847345214504,0.46218678860456064,0.5024753639761433,0.7442998995442306,0.6339676401892504,0.7154566148534081,0.7229836142169154,0.9514143360219531,0.8222954016659254,0.7878454193409536,0.9046449884648918,1.025847779772776,1.0880988851122058,0.7850735452633703,0.6362291893057458,0.5345341958817074,0.7993283556606062,0.7295380437990869,0.8596092908982105,0.8267440782900075,0.6492565337257076,0.5362187762814568,0.46057569577248214,0.44679024295193753,0.44423150195101613,0.6400679610852082,0.7216030628238845,1.553942679315998,0.4836225786373392,0.5655722756022564,0.6613590265210184,0.5692584152045261,0.4735422716627526,0.8923379462181452,0.7095715700185363,1.4333128658969498,1.7501868799926745,2.3928972436767206],[0.5650362988853567,0.3983338233214136,0.3868276816269375,0.3640601844244754,0.4068227260200185,0.34292037588821556,0.2906473109351317,0.35406620720513465,0.3340806189734769,0.29051248126278606,0.33676888416321693,0.41328879559671616,0.31020329224256354,0.3214318072718285,0.42757738436528697,0.36797612129829205,0.40233895982740814,0.434612288125608,0.4905194038194779,0.46600746973186624,0.5202076728086432,0.4835395616151405,0.6895706084642935,0.7393619112621739,0.6899197220461978,0.5902846964115346,0.41233268149088215,0.3749166248393198,0.38013996470265426,0.3994495560929393,0.448476026693863,0.4362656929279514,0.5453054974413367,0.47923578537471284,0.4079777681715081,0.42656557457788064,0.40558972359897166,0.37316497947569577,0.3196455184018949,0.35775087547418677,0.4985808558289542,0.4575487370744158,0.4233894019688411,0.6493998070144358,1.084140094940628,1.4621512244980677,1.4910529498479315,0.8945993842960036,1.0461576981181893,1.1822854499592013,0.9194837543950852,2.5521423802182728,1.4764407692555939,0.864632294135432,1.5014875184328722,0.5072648161939072,0.8798489959000424,0.5436488478833815,0.9607421482113256,0.8456295828016864,0.5924090789573598,0.8613587797679559,0.8968343879537817,0.7841686926691623,0.5679877159763693,0.5902799555221525,0.7848304847197421,0.5772642192989987,0.768219946403148,0.6018635479054132,0.8875654107105492,1.1892034026211873,0.8042947379816909,0.9138986039219431,0.5653763527121669,1.0380865574565785,0.5371120322036502,0.49694657983490137,0.46632152130777593,0.45957660191403604,0.503191935453521,0.5467006346966456,1.1020361105545409,0.47845701631313775,0.48994089103087396,0.4303011906371,0.4029015994917657,0.5481752008336392,0.4260927552040667,0.49156499573713963,0.4967065433870641,0.7136668305658664,0.5915472435173539,0.5152937071221074,0.46541887175509594,0.575885624155921,0.5947420944703482,0.5103550929674481,0.48102511850807894,0.8270850046898852,0.5215947240107236,0.6058015388037193,0.4188237558113534,0.4938917025598152,0.4886716677774831,0.48769688885101287,0.743403428881192,0.4535381572541742,0.4629715837259868,0.6198932397401832,0.4551054192300005,0.3549571986623702,0.298736823790786,0.3400658415063666,0.34061349622642295,0.343600445060312,0.406918433166375,0.42553005058649623,0.6556122952722313,0.5068117113016339,0.4996503428016899,0.4032766782261802,0.41707970473617956,0.3312449102964761,0.30012879812776183,0.3210537684842886,0.4418128407248104,0.339908180743378,0.3575246530894768,0.3681569226356556,0.4059953793725774,0.47525653186723177,0.38083456345506955,0.4457295721002927,0.38080902373764286,0.3741079557552109,0.5835600040971574,0.4158450709737267,0.47842863277519926,0.3699357306910636,0.6689701201961338,0.7061625546915634,0.49398233454636603,0.4874073588806513,0.3680058566539152,0.33999006688177835,0.3184846680354427,0.3662103937669021,0.34004591553237085,0.3750940098410845,0.4675857179413108,0.541458398339287,1.083785597338219,1.5680398162500977,1.335328931800829,0.6028427319035421,0.42173979428916825,0.4469739619487656,0.39914298323003417,0.4540124482307355,0.35392078195978505,0.3594932500266621,0.34285641055748944,0.37559159032354805,0.40592588547434877,0.5489214241316582,0.48389838903307747,0.6785406943452795,0.6684899630939939,0.6707461539588275,0.4836545177493873,0.3900301023794495,0.39901113272960154,0.3698407026593066,0.35442190617655694,0.40550378246493407,0.42917865914777587,0.6872818845396415,0.4203689495393158,0.43382801149228534,0.40246344092814873,0.37988096810484023,0.38231867537501735,0.40444475491982296,0.4345429283070978,0.5947212509394334,0.706540644694306,0.7677839137444923,1.9030655429059813,0.7803596108253807,0.9276106991597662,0.7930351912476649,0.6786544065784254,0.6050254083708159,0.4830347067887592,0.5252705889296605,0.5396915496635684,0.45839911068934264,0.48237279547354645,0.534339960796634,0.42986123298026585,0.46589177652018776,0.41877528091213445,0.4424877433528477,0.4512259694650013,0.4698190674972151,0.5482306514844872,0.5195284661007991,0.5805764536128728,0.5310894387725683,0.5725415438746274,0.610648523922383,0.6583967594544384,0.6063352296256331,0.7108667363663648,0.7249900482972118,0.8718626191390507,0.8124182268576193,0.6218343843378933,0.6071524510757199,0.658231581913395,1.8450001573134716,0.9967839060875086,1.580269549901765,0.8387325210130271,0.649902587978094,0.7448579002304724,0.72273640449332,0.7309454302777171,0.4894327519041979,0.6114847529926629,0.6429154632722626,0.8272291812400727,0.6449678514437929,0.8672241195771688,0.8522109676542918,0.8321141212287797,0.9698253714394778,0.5925050815140884,0.5262230218068132,0.5055532288103111,0.6063831166078462,0.7512895886122565,0.8869020732383751,0.8568612952409203,0.6914257491171123,0.6443107796085912,0.7916731261663591,0.7250581724018922,0.6011042756547927,0.8075265101722837,0.9119669139814018,0.6882893146513386,0.7583564455337981,0.9699755227744352,0.9888720298639608,0.761797746033232,0.804171713931199,0.7048249676546059,0.6766510461131814,0.5955219242585991,0.5783733854818225,0.628329170031501,0.5371288297610342,0.5365282175132602,0.5370911552767603,0.578873291742934,0.5084356900369029,0.5353764388192824,0.7782284153807918,0.7061164638516444,0.7392905147553265,0.7508974436956899,0.9746984995042792,0.8530223741451032,0.8369840242261383,0.9307040238139929,1.034331879123375,1.1806919550716886,0.8575471336493903,0.7037630796915072,0.6051887377391385,0.8865932972250029,0.8066972517724,0.9130108599003639,0.8644646822934942,0.6954223922830026,0.5576793312479363,0.45647080158017406,0.4399293770059982,0.4850522231597197,0.5914298232091566,0.7565057949611113,1.5861817499462054,0.4423008681330538,0.6423503184940691,0.7235027780454528,0.6102871593012493,0.4682970900354184,1.0978844901744542,0.8397273388918972,1.5306321447226932,1.9966789463758392,2.732042023768421],[0.5510831789596912,0.3747755675639198,0.35040312600289775,0.2991544207491628,0.3633391327934197,0.3478951089563077,0.27759767273207536,0.3615759798891547,0.33019428691759606,0.3011903125399412,0.3478364876780745,0.4419522490069367,0.3174827739546763,0.30502416593283216,0.4150912388904985,0.37077513303284,0.37243450666809425,0.4059508270872733,0.43774299322597005,0.41902044351877,0.45287618278863756,0.4438225289620662,0.6338815402544868,0.6688042143075551,0.6649797381927683,0.5321965878506366,0.37986320569590387,0.334606884536239,0.34450687751033354,0.37217943235180806,0.41562042391058945,0.4355106624775963,0.5055598731528109,0.4537331475697746,0.40173536385308445,0.3955372743197931,0.3932391959844519,0.3612288235653508,0.31806635492585095,0.35459606159419166,0.5094985259526599,0.46390539584674356,0.4217393646310263,0.6319144351785481,1.1003442157967667,1.5102888009583135,1.5070672738416655,0.8623612551754917,1.0266620407895706,1.1714185803657844,0.9002295849753508,2.4583566932776457,1.456670800248972,0.7962555808427305,1.583814291338781,0.5309785429590371,0.8186710871129115,0.6440660943817953,1.1167198318453355,0.8241695485399406,0.579518691000103,0.8560888370312827,0.8261381296389899,0.6643775979292984,0.49085838844215574,0.5371744671190565,0.7025646598321148,0.5238025916135169,0.692810457609685,0.5712988603602355,0.8720911093606306,1.157058599147669,0.7834911990799333,0.8462453581230243,0.5359599871922179,0.9404443789938273,0.47395275125384256,0.44637407548602553,0.4301050092806128,0.431852154290506,0.5041054880098031,0.5424586191891937,1.0448452591422304,0.46606753368663817,0.49072287171480544,0.4286984558970975,0.3954569106705482,0.5408162347384831,0.39466305123460316,0.4700521094781074,0.4516138710712238,0.6224432790044478,0.524795774312936,0.4750241440969117,0.4420312429752243,0.5346017117017103,0.5797348311446504,0.5095982248894382,0.4954249620664858,0.8224727396751217,0.5379961126764267,0.6279558706833511,0.4427311214270406,0.5193526961557198,0.5230198296441488,0.5053302913456863,0.8161179623232799,0.47976791388092704,0.490163539081779,0.6226467347490311,0.4944531751597141,0.36051366017479924,0.2951113249536557,0.32034809109148904,0.302673183322528,0.3115992160906084,0.37753985402864415,0.37757386594150044,0.5457128059033862,0.45197097442617895,0.45562919863288504,0.3666481772340076,0.3939793027378782,0.3168217124719038,0.2895467204641713,0.33455179811414415,0.4792580641659441,0.3411180955388201,0.35997695942343294,0.37042591726668134,0.3946845706981237,0.48543379823305655,0.39180129795554114,0.46870133540184256,0.3995641117935001,0.39694489754241624,0.5872719425313646,0.43038495568583107,0.5021114536260967,0.3793035444939343,0.6608212832589543,0.6257391658155238,0.4510686184586747,0.4570416068368685,0.34108588328540373,0.3168252128725977,0.296921015540624,0.3634519307451045,0.3132540465972705,0.36563254708275966,0.4819315956612646,0.5018338464876547,1.0216215339213324,1.3881170731940393,1.2255593350230327,0.5865375691289685,0.45527042345115565,0.4687198676447727,0.4034563640607316,0.46005969253864837,0.33922360049050165,0.35479229815098834,0.34363989113596854,0.38636813551098603,0.4433691358611894,0.5505861606606103,0.49826629195943867,0.6951979974273038,0.719713969925333,0.718357192253946,0.498912219239379,0.40259997270169123,0.4209482979258808,0.3703284542914128,0.36172754892717046,0.4143344869071282,0.4197192202666453,0.6883076879448142,0.4014722510127428,0.4392850512643466,0.4068773406747354,0.4030829459114911,0.3959895344288737,0.43527813549525823,0.4477121418911231,0.5780760378323961,0.6917109210403464,0.7498757730557388,1.9436051901851163,0.7247388100491681,0.8953746298807306,0.730354502662112,0.6539874400867849,0.6130663810811957,0.48646075768752206,0.4992979211001782,0.5081296592981698,0.4332042111533618,0.4633467099534734,0.5261851438434215,0.43373394616829236,0.4809031852655978,0.42615364355646457,0.44544396499910527,0.4594535958807912,0.47628106510860796,0.534578772641972,0.5236214664194078,0.5849932737655129,0.530634375479414,0.5751537840220231,0.6091765740249417,0.656822819772695,0.6044368968578978,0.7098654249806087,0.7297489133231396,0.8710728125598832,0.8358317545864605,0.6435562226317141,0.613558717135925,0.668373213488382,1.8393460724304667,1.0323462597683897,1.6011418532298611,0.8321213279546741,0.6657094926877276,0.7714396938995575,0.7365544422317312,0.7599189874024174,0.5023211577013791,0.620877534042669,0.6282038955189109,0.829750123449259,0.6482845606008709,0.8318284251095067,0.8425407530992811,0.8283790475378648,0.9537650853110491,0.5992525813665386,0.521656859276948,0.48879628495215327,0.5983614752727956,0.73036540266318,0.8919128974679338,0.8336015982509294,0.6981746448526112,0.6534401808874981,0.7847393367127031,0.7322824343593386,0.6173105456241038,0.8118414214924364,0.9214072224208253,0.7032033040034568,0.7727278422981126,0.9748226847944537,1.0112774063605303,0.7655812974235454,0.8090159980366614,0.7109021152394795,0.6890824769880763,0.6089167408269432,0.5874680465506207,0.6442072684198479,0.5413300005780789,0.5424386615406813,0.5465783232040443,0.5792933365984558,0.5216509474504186,0.545926613476159,0.7787338965300153,0.7180658406628664,0.7488289877368653,0.7610830723415181,0.9762579807866761,0.8528186054641984,0.8469267753012814,0.9278281580307417,1.030435006470311,1.2153174243525005,0.8850737758004961,0.7193603648544366,0.6263389269979427,0.9390948493008469,0.8392635285405118,0.9152360690050713,0.8715895871021411,0.6950849042846879,0.5454087251987453,0.44504800779242853,0.42204984431394,0.49165145492390416,0.65409140465998,0.7790111855877854,1.4806817978544806,0.44802104202763754,0.6430491752764109,0.6083958540361181,0.5857088197628698,0.45526732790934815,1.0084995223564814,0.6596120646660688,1.0088187371839885,1.710402245518347,2.465885922275507],[0.5678542445188144,0.4330157990179184,0.4262096746647634,0.3620141752434698,0.4449225873116477,0.40707542324624574,0.34163337235520636,0.41272751950431824,0.3613384966544657,0.3281220588413129,0.35814459666495596,0.4427099823031358,0.34055361144037216,0.3389600971196898,0.42594268207554,0.3858029040873709,0.4029021863163972,0.41972932365415155,0.4554716774037077,0.44389760866964695,0.4793745806388192,0.4624285147131099,0.6694998161047825,0.7054137460861302,0.6840491254037002,0.5707456628103887,0.4162833723399624,0.3769217084180099,0.3851730448333154,0.41610996237103987,0.4311771021070226,0.47216928837009103,0.5532470038654352,0.4790352175179371,0.41936583789001747,0.4123896037952116,0.429915982489346,0.3873229842944194,0.344252210787916,0.37839863150600844,0.5337490078952725,0.48024587570815136,0.437577050281737,0.6530104795855498,1.1315998130334148,1.522180079442513,1.5366957872316362,0.8981772222402873,1.0477332585981032,1.19973616655661,0.9166458774899938,2.4593132106178017,1.4551734523504225,0.8353293391310441,1.5968115410335026,0.5365829878644511,0.81267574105625,0.6441646067164725,1.094592035152518,0.8096473611244693,0.5707699318786306,0.8470126437182903,0.8282102163722427,0.7014530861858516,0.5304048876693704,0.542129216277375,0.7132627866475786,0.5220318164540406,0.7057012562803542,0.5659377218627747,0.8588937651467409,1.1724531509932548,0.7727977698008444,0.8503620967237572,0.5466887712036789,1.036076569880045,0.4852969178043534,0.472651106866587,0.4426309398391561,0.4426237045953529,0.5284686537253774,0.5702625671527484,1.0808115620800482,0.513189636800502,0.5115581798261146,0.4669058573917035,0.419964040482839,0.5734023528010341,0.4013195619845373,0.48878808728493744,0.45978952720689115,0.647185668960066,0.5447601561773878,0.4870625376750273,0.44388133351716785,0.5360142277738826,0.5714451489522194,0.5111081637779574,0.5120277558888884,0.8566127480769413,0.5817838030545076,0.6652166490321239,0.47623841364263875,0.5794043450074808,0.5823091003775699,0.5461624788964247,0.8442887530443047,0.5468514149902713,0.5626374189787312,0.6646260378698726,0.5503193335264535,0.4220294014427562,0.35943005901724095,0.38530774056732175,0.3444729480637933,0.3541347379295253,0.41445850577116033,0.42942412326888457,0.6140684011010111,0.4759503340799234,0.477959800013514,0.39141815177933087,0.42816490777743527,0.3550145608569472,0.33666144623343525,0.38524013469650414,0.5405882467003579,0.4122779637395475,0.43229890138223637,0.43906397286813353,0.4723933758538384,0.5552198567907235,0.4677017331081591,0.5201870044238254,0.4534578920362369,0.4418121153203052,0.6215293174732964,0.45468367206507476,0.5065411736117023,0.4007074477061744,0.6854292073752537,0.6892925144391757,0.4832726685445271,0.5158898410427251,0.4040529376999163,0.35104201539400465,0.3371871924813614,0.3978239226503072,0.3744609892395389,0.41408903522472024,0.5303309495616243,0.5471945392811286,1.0915198522388132,1.4756781998657424,1.230142254702294,0.6267410261251538,0.4803771690449637,0.524656367125157,0.45192313995097666,0.528067980305567,0.38925109162532584,0.3816295226459421,0.3739007612087381,0.40664079224249283,0.4483436743296919,0.5812250833270662,0.5268631479338419,0.7152971247642103,0.7372607720431932,0.7267048548668071,0.5299772394600528,0.42303832898500393,0.4355957373953029,0.4091089985865721,0.40883295924372137,0.4691213297552842,0.4651370415522023,0.741582555007266,0.4571545564574945,0.4847027171734891,0.4424651233904038,0.4460956984494649,0.4448850383318969,0.47535932869175224,0.4925402475565884,0.6223190156192202,0.7254464727051168,0.7744007408685909,1.9781271107115,0.7772207371874771,0.9173718998640553,0.7776539102815568,0.7122491644501351,0.6677797665207603,0.5554168491462838,0.5774443516993518,0.5802273436529718,0.5127342438943406,0.5398995332266833,0.5777604548877443,0.5316091629213817,0.5767401291556083,0.5167595503927213,0.5309903411145042,0.5593542069357867,0.5736047418866191,0.5941257327451045,0.6123355939173114,0.6899582516729807,0.6236536420537854,0.6527675932033609,0.7054368958442727,0.7480793480429726,0.675566694231241,0.7626435577389948,0.7738805122294261,0.941086784007464,0.8914925142655526,0.7171897804954204,0.7014091523745221,0.7659931208453705,1.8074272849458966,1.1447960554743324,1.6792261405684463,0.8565492355984131,0.7620827524320924,0.8778150193502087,0.8320037664088387,0.8621229711229917,0.6041558412777074,0.7076969948120114,0.7014435606757154,0.8963395203425041,0.7267031436404124,0.8917039464523118,0.9270596332933033,0.8878171199451923,0.9956468582368123,0.6748506386785754,0.5876446906582355,0.5724350190779998,0.691178125684509,0.8121074661405189,1.0182257146325673,0.8996521129403532,0.7900122883621098,0.7773831126178183,0.8906435176002336,0.8224490451659132,0.723898010981627,0.9303462678618158,1.0251991822614261,0.8175372333264922,0.9047198705558455,1.1037688095624245,1.110751481084331,0.8802699979834789,0.948399484084704,0.8261145151806422,0.8174572142721489,0.7267000143207288,0.703249155537653,0.7634515427915188,0.6427802082090108,0.637652267863614,0.6383089169963192,0.6556313610497497,0.611826703138863,0.6225218448308033,0.836289936361293,0.779313860743257,0.8332703719058897,0.8484146632915159,1.0605678383631394,0.9137396984218815,0.905852926722277,1.003253628336938,1.0711118875725019,1.2958034023057345,0.9319094926979571,0.7723953678717853,0.682838916699309,0.9550716165805929,0.8913426934452252,0.9747900741336374,0.9287887401930839,0.7554113358298302,0.6078116030136462,0.5171811716695501,0.4951818614500037,0.5769412884319488,0.7048236199072466,0.8423562757937944,1.4781306153388163,0.5011036761061546,0.7278692768998802,0.6511774276098657,0.6451622440707991,0.5174241309933852,1.1007077494763142,0.702673529950552,0.9880040842428373,1.9040216612267178,2.820530916726864],[0.4762221508414772,0.46019561939490106,0.4980145995026142,0.42091147260450945,0.5047595251706518,0.48865606708868115,0.41927026674643286,0.4460059087734592,0.41537563433391583,0.38026517594995135,0.40760512085964257,0.5074049277358453,0.3913105234947316,0.3855886336790118,0.4696618010714745,0.44105776064050795,0.44477339350620776,0.4794644350525473,0.5076588826865052,0.4846378531644303,0.5373165014443753,0.5289820130114875,0.6872990404279998,0.7180376766539933,0.7363890234376632,0.5969181450730705,0.4626045221764837,0.4325657578552691,0.4396246783014626,0.4408587373497516,0.47897237786639657,0.499088079298717,0.5559792341712225,0.5097657776038536,0.4624850823462807,0.4631145633437712,0.4538765138971277,0.44801780093958155,0.41558533615290194,0.45383083851118233,0.5602831426335276,0.5332155880302455,0.4934463231920306,0.7056142554942347,1.1376810885787199,1.5324971598304133,1.5817709377983005,0.9117469092298758,1.0492351221454874,1.2075921606826003,0.996987739807165,2.46676678008272,1.511652889456733,0.859217591691937,1.6275665530722117,0.5977524059658342,0.861775493498177,0.7174018541198216,1.1378267245975076,0.8801424816140005,0.6123645289876803,0.8654592113658283,0.8656919415228099,0.7450168765724654,0.5540515192143115,0.5868568515336353,0.772227660642681,0.6044967076909497,0.7593554865550949,0.6489333154887135,0.9437279858640156,1.2019615512237405,0.8532932575019011,0.9160528178576216,0.603965039363935,0.967590751664353,0.5490481549534699,0.5132483250336288,0.4886882744549761,0.49186794342427165,0.5397919292116296,0.576051546306871,1.073983412832184,0.5448657091327493,0.5555040181094159,0.4861129137704509,0.46413953771366084,0.5865121674052518,0.46611978668292453,0.5132657013064128,0.5222810005822789,0.6729351826710306,0.584781012532372,0.5457252104923908,0.5109811614340407,0.5920673375658875,0.6264191204816242,0.563413951288378,0.5543696583928464,0.8617359513761729,0.5864839672560286,0.6724471634220273,0.5084320142395221,0.593079938390158,0.6234776745193382,0.5828775366309957,0.9068447128779353,0.6173130829550181,0.6269396908564566,0.70290261363056,0.5919199289286526,0.46759300096685524,0.4196500388722661,0.448783696876993,0.39846828210048474,0.4498974950399237,0.4900024516402839,0.5133322932106498,0.6540366211104827,0.5419848488078652,0.5619272272564907,0.4810140446204531,0.525219218791196,0.46234270355678275,0.43510443225829054,0.5029992219191113,0.5843934101580538,0.48806340567454687,0.5244156993349659,0.5195181831773095,0.562556992995634,0.6377658173189111,0.5628060074266401,0.5992373126114756,0.5480719767530272,0.5316206007329582,0.687156179257964,0.5755158149451748,0.5920813554647147,0.5152487391757008,0.7531638019675179,0.7396543818283916,0.5876889354750329,0.5704816750454068,0.45066223023217794,0.39510465685020035,0.3944791294012616,0.44322774330734943,0.413451323575356,0.45026808530964774,0.5494370430211083,0.5587282742115399,1.0650632022229436,1.3555817922324618,1.1899419093681223,0.655053344930471,0.5259464195027962,0.549955593949111,0.47217986528657924,0.5514090207816603,0.44661199867674134,0.44126114538257744,0.4655971448249516,0.49976020017032025,0.563815849584301,0.707428411315724,0.6463224859723181,0.8364481659201672,0.8818221804437811,0.8483430979002125,0.6367075547198431,0.5383146621158436,0.5412185622046279,0.46950006588804055,0.44464329214231924,0.5077462912876007,0.4887911182473677,0.7493114388938852,0.48448412381062406,0.5158681754395142,0.49221411820659944,0.523737388126837,0.5244190282599982,0.5621310281399807,0.5526656255422011,0.638764757377076,0.7346433082665066,0.8281634613272234,1.938287080452372,0.859663559222298,0.9843280115374289,0.8104457797050867,0.7870018734864457,0.771187302276734,0.6648719619622663,0.6779454845990468,0.6502934558302442,0.6077957889691143,0.6260784208496101,0.6453994441863317,0.5972928279756329,0.6349869716916531,0.5751290152594535,0.6023974188686708,0.627796082058495,0.6442244483237514,0.6302308924101853,0.6630941337757348,0.7534753680317634,0.6741995594310618,0.6867389748322146,0.7661705372565268,0.8238637642415002,0.699406990051887,0.7874381576606166,0.7845993610464047,0.9479782452187757,0.9448744798955391,0.7591946952470653,0.7400142460460722,0.8219666216109883,1.72138461412826,1.1972117761657775,1.6256877565797796,0.900318454068571,0.7827725402070529,0.9137896255044551,0.8490955879186504,0.9195238257865579,0.6872582330918897,0.7712797370018325,0.7782700741180033,0.9920463998786898,0.8316101838426755,0.9418707024531134,1.0360398303542433,0.9532472564934736,1.0531290272167424,0.74821785769968,0.65983268461862,0.6358593826079162,0.7221985476942988,0.8382139362125003,1.0517743067053262,0.9353897046524141,0.8379150446438043,0.8145117832677685,0.9402987583300586,0.876583753933289,0.7955520977872126,0.991874521755116,1.095748684172828,0.8952286601487446,0.9823953558419374,1.1818366552106934,1.2276087357471637,0.9526285927437964,1.019209146005157,0.8987566718583204,0.8867384761024273,0.7948642571166834,0.7635857228996645,0.8203893145654627,0.7042524647274636,0.7057006658682556,0.7080000095559932,0.717613791397915,0.6888647010897283,0.7018232708174411,0.9035242025777822,0.8347633230266968,0.9141385602890935,0.9280627304541517,1.16335519960885,1.0025164127003878,0.9979412663047372,1.115076311951084,1.1773917120112516,1.3919731647629965,1.0370123090461638,0.8578747051010026,0.7680134630390167,1.0686821388049068,1.007995258799185,1.0732131236630278,1.0171534224822627,0.8415597969377365,0.6957696215757555,0.6018568902311549,0.5734529388924876,0.6628047628160039,0.8558401079837571,0.9025723729995928,1.4139852451393768,0.640631253899523,0.7861346053847512,0.6665961066918362,0.6319555756128868,0.5693961134572654,0.9685890688492698,1.02737202832525,1.3142990869989568,2.6573312548053365,3.519903024510418],[0.4226074263034326,0.46361208633013673,0.5028525147228663,0.4655287206397852,0.5206179799238742,0.6159723407972675,0.5603965296568949,0.6771774143478192,0.6328000868524227,0.5592333596084579,0.6212390761648214,0.7545202758592504,0.6151602852881096,0.5241950055122595,0.6534662463308224,0.6501248458712091,0.5551642187428543,0.5713386359739299,0.5559878712813683,0.5652511955525379,0.5475485479708226,0.5774152382711217,0.7033262001708915,0.6826060484602059,0.7364419466732502,0.5665339384422716,0.5271698050852519,0.5141900519577245,0.5515716314183207,0.6161011009057258,0.6518727514485514,0.7419039656009898,0.7847255758660994,0.7321428173716596,0.6780615040464482,0.635475794890273,0.6781596940362028,0.597208308603965,0.5553413770377952,0.5890908973304024,0.6726612220646392,0.5994294613975589,0.5810499159096308,0.7008614579775633,1.179907111311495,1.5917092386536218,1.567977687138142,0.8895112547787436,1.0400619975109953,1.1956828634295293,0.9794532404853112,2.346816022915372,1.4785931770835616,0.8599186503284774,1.7758337517797045,0.7883970334352977,0.8598222689548585,0.9401208981472045,1.399557240194976,0.9692838065232547,0.725996538101655,1.0108521795779306,0.9575971300101157,0.7272038428963574,0.5930154122078186,0.673987325663745,0.7726869449228825,0.6570240399485143,0.7217455553323338,0.6696869679056376,0.9102371028536186,1.1740269129453509,0.8735760191271563,0.8967392569657342,0.7073611368336332,1.0534166697153906,0.6419144363763063,0.6855912670415126,0.6500865352670314,0.6583741777632146,0.7315500816839072,0.7512593938855003,1.1315073361006525,0.7111153167186244,0.6874901149921769,0.6528977955752945,0.6307013940273564,0.7735252249095006,0.6319459647982186,0.7263905896580295,0.6717135536631959,0.7322647636447528,0.7269137583362106,0.7368269101705979,0.707946358612398,0.7776523738018197,0.796425337376465,0.7759818884631235,0.7977739719480565,1.0637807429161912,0.8350577036817887,0.8599699613106191,0.7509982605649304,0.7966561013948812,0.7337912851876722,0.7693619606895449,1.0764138792998015,0.7635701249109135,0.7595117229558356,0.8522454190883996,0.7706071167737075,0.6419224502382372,0.5712102680336507,0.5500353197738382,0.5002321929267208,0.5005104210568405,0.5638356810182812,0.4936992283045902,0.5622700126070225,0.5413256688000249,0.52412444460589,0.483612945715026,0.479353071330426,0.4660218827547628,0.4962370774796288,0.5308534217628222,0.6612983478690172,0.5825406364623144,0.6217789757718903,0.6396847419242002,0.6332210166686133,0.7043391615063289,0.6535005184916549,0.707252317130841,0.6584788227172338,0.6463909101260034,0.7887330983882784,0.6503746012928279,0.6834259768243439,0.5791118201445618,0.7643712242956034,0.7106857595035455,0.5810692151177846,0.5633036021638044,0.5506615498089449,0.5511741600490111,0.5331731376977319,0.5972981301207739,0.5826454891036563,0.637996898669761,0.7655271811983545,0.788159367690672,1.1250163406790195,1.362891334586347,1.2651457000026867,0.858250977781276,0.7768569954847283,0.7858926047522612,0.7013310535331558,0.7195847408176828,0.5918009979720079,0.5851829510873806,0.5720101210173353,0.5947292691577999,0.6608176123583004,0.7631485884984557,0.7049453657001521,0.9050563831088624,0.9688310942108074,0.9397161406521707,0.7162033876670335,0.6393469459931547,0.668581043528706,0.6323191314010178,0.6274178332127537,0.6810830718694253,0.6950419109923186,0.8741078930187128,0.6549625779076818,0.6894680544512508,0.6610453225794686,0.6691898214462576,0.6528208031059667,0.6872113540813144,0.6627737507282792,0.7186109375077956,0.7894247167986166,0.8512527385250558,1.9985724810436833,0.8378990259087749,0.9516141916472659,0.8441829432227844,0.8406995502639283,0.8250459772281784,0.7272729769662905,0.7245392605010196,0.7088585208856667,0.6739106134947542,0.6825169936502598,0.7011315157396991,0.674969934001682,0.7043526285506474,0.6569750374880186,0.6949731997565315,0.7032847723746497,0.7064481074462744,0.7234803597166329,0.753334428411327,0.8019756780630131,0.7388265001665911,0.7832553534478021,0.8102053227417075,0.8349302667284735,0.7884786145950744,0.8876929951769934,0.9276490436692371,1.0297777672191715,1.0637515314834078,0.8849324750896989,0.8202939608657432,0.8873815941692021,1.7410013446110364,1.2703354984370392,1.7460283774085086,1.0046988447479077,0.8761891770351168,0.9705637588737315,0.887534737575664,0.9508145114404726,0.763147826965501,0.8223466584182441,0.8464710081552803,1.072157530721188,0.9148000446824399,0.9801479784688579,1.0323066525528137,0.9651808955677807,1.007819177682816,0.791073993467531,0.7532179934586012,0.6989364518695991,0.7884560019338707,0.8662320259110281,1.0908103782200862,0.94411098440927,0.8809598645433634,0.8670959281596957,0.9720398777507804,0.9159859878093277,0.8464409405799644,1.0167050377838944,1.1172026425088515,0.943925468138891,0.9986234295665366,1.1652559936042752,1.250768558905475,0.9661406485990505,1.0262403174877337,0.9175542247623455,0.9151502533773986,0.8429489110817997,0.8102522229330629,0.8605281577385911,0.7619189070210564,0.7698248042817871,0.7874961666575966,0.8046096270505461,0.7732957595248027,0.7989647047197065,0.9930013885888929,0.9350397436693194,0.9520647539181786,0.9975226773640847,1.1931957182036237,1.078866585766713,1.0753589199145739,1.2116837549156014,1.2395385757161728,1.5023460620253763,1.1506981307270434,0.9465602076226061,0.8650919201837121,1.1946051096482677,1.0883948370250784,1.1375341310767462,1.0638855634084332,0.9025166337887649,0.7269896608305251,0.6612739400959232,0.6227800706028336,0.7226137474340838,0.8920302131760788,0.9244967805131834,1.2975300723777872,0.7450394597354911,0.8135473266991744,0.8020813129452407,0.834943871481625,0.682988055297923,0.9258889911625686,1.3988178115738017,1.8385191779681884,3.412150105630943,3.977820445289841],[0.8114453726879917,0.7363871342604474,0.7426510701924026,0.4873839129354775,0.6156904919325296,0.6660251564428371,0.5994145330844868,0.660374198318741,0.596248974420538,0.5103989959392353,0.5251814698450032,0.6686624544745868,0.5559808037274967,0.47032908940318086,0.5573063581810803,0.5627763586597517,0.5067784684112072,0.5041201321301949,0.5251866271206247,0.5388493058839906,0.5363135587672655,0.5376412876182484,0.7014599770851951,0.7280923300308182,0.7830526819223577,0.5934069558238747,0.5254402561153082,0.49316687288574435,0.51312551961688,0.5465747990225022,0.5637480130654372,0.6569571261281505,0.6928932949490444,0.6286057696291617,0.6006330817524713,0.5716089232558006,0.6037962324376137,0.5640677505693326,0.5313494307764141,0.6071333467413808,0.6786654764266524,0.5987909201279872,0.5651492760847037,0.762150710423869,1.2413064377193854,1.6350237856697174,1.6761176081546891,0.9793634944244862,1.06370918809743,1.2714298842250344,1.057429125427102,2.3397063587876565,1.5069832283083788,0.9215906708538425,1.8080997543483455,0.7524390239428932,0.8281560913824365,0.9526379207783702,1.313792901363097,0.9125165072319804,0.6342541603278959,0.8665198627030308,0.8713994444548642,0.7018650709455572,0.5531673836501496,0.6317214427227914,0.7443098085829388,0.5763932810727092,0.6814824867900466,0.6207294655170983,0.8779967570378524,1.1146416428658206,0.813618818772642,0.8770843289811387,0.6219916664441528,0.9899846266948377,0.5887618912873165,0.5885826250271002,0.57637705003656,0.5920023301263605,0.6662429997541431,0.7225436842825039,1.1646796996501299,0.6763446015053239,0.6702254100869863,0.6294627996509226,0.5874457397027912,0.7036922912316134,0.5718269395960119,0.6352763141833713,0.5868391455583917,0.7202822264599636,0.6314657047778631,0.6177147113142966,0.6015323701847299,0.6635586739521475,0.6968072146905572,0.6737280315760019,0.6925783461574686,0.9750765013493682,0.7439659911671466,0.835556703376937,0.7161327408257008,0.8073051602352977,0.8223650216833625,0.8228180343068211,1.0661469532961203,0.8628936477046893,0.8623842141250392,0.900074024565296,0.8398444866846316,0.6970008097063712,0.6131476062163269,0.5885055863162998,0.4909415715861177,0.49855721812086135,0.5524663922156591,0.4963930875855943,0.6254573593885211,0.5136231417825138,0.519669243885462,0.46759489458002196,0.5016324254611244,0.46708215302673367,0.5132405281570953,0.5856209119731275,0.7093088421926288,0.6321654340720458,0.7179760693968146,0.7282358957065297,0.7560022503222278,0.8680176063976152,0.7568090942265173,0.7779469312803635,0.6950410717567345,0.6415705574176461,0.7772353606732461,0.6376697720384288,0.6085185219635302,0.5335849810509669,0.7333223173302099,0.7547688080211278,0.5614609255430849,0.5750480014548369,0.5563544640779393,0.5253163530037166,0.5153419136842927,0.578132090220165,0.596155826324686,0.632202043588722,0.7533083844219837,0.7527122779213153,1.096655291925421,1.3230485107696897,1.2437772306061488,0.804759580574154,0.7147452800322385,0.7508985541444584,0.6702825929517614,0.7381307885588245,0.6149815730985757,0.5626391943517937,0.538827262006883,0.5605526794325988,0.658975453592936,0.7279605115702906,0.6990081723143745,0.8545889003951442,0.907358744570311,0.8525990789850709,0.6994054999159992,0.6069468245207518,0.6641997572728265,0.6353247768400575,0.6247459395647321,0.6981037551282014,0.6575536311890466,0.8894986930965241,0.6354528596269946,0.7240910843330849,0.6565431256292945,0.7255654895561157,0.7180531280928809,0.727582731812427,0.7014141778246489,0.7249950401617488,0.8241706772945022,0.8622110598652059,2.0227813740247527,0.9660069297673678,0.978867869626895,0.8653633206914654,0.8335686450870755,0.8304387822777207,0.781048614326445,0.8398648834109758,0.7789402886979555,0.8039601063881898,0.819374134107034,0.855187824092267,0.8317976021182257,0.8620169928238942,0.79874993804698,0.8250112519824395,0.8591948862448788,0.8704692847621074,0.8156875889970231,0.871287648456815,0.9895602270593874,0.9091722046307641,0.8976819057281291,1.0000306592669572,1.0756777387047374,0.9027770319856812,0.9845160365580407,0.9216435224520386,1.1654863005320126,1.0403630597508116,0.9442008421121921,0.952805015298562,0.9992212446732248,1.6435282154759678,1.3163478749117357,1.7276492542117659,1.068445628782061,1.032656432200896,1.1924041314031426,1.0890860959906172,1.1754542877091996,0.923862076194929,0.9626509903691732,0.9999645287707485,1.1574334595834688,1.0166027337341186,1.1116728104709543,1.259224417021945,1.1054065077113426,1.1684958990842151,0.9245621052097605,0.8763435812422669,0.8471896417180419,0.9065559755299017,0.967487936011288,1.2531185926351716,1.0619329577880439,1.0076746169447925,1.023976499539501,1.090788415197738,1.0483630931648509,1.018462789015265,1.1630051120959837,1.262338370756746,1.1091138482158678,1.1751853162732535,1.3180044516825393,1.431896930586578,1.182062404415966,1.2089267114431719,1.112326750150621,1.1002356462422052,1.0194826144409608,0.9845722097496554,1.0377149586533423,0.9260262435480755,0.9102961165894926,0.9273050548370348,0.9288486240987182,0.8996999000073437,0.9024119531367913,1.0333129339990574,0.9808033323803246,1.098752138346407,1.0991139098550877,1.2799345538467273,1.1016342971507314,1.0810496118835058,1.1989112765025929,1.224058209174313,1.4156732064314308,1.0870953682638815,0.9534601119883841,0.9226838855626682,1.127625897628254,1.0860572951030056,1.1288283843136264,1.088872786481902,0.9548274059162171,0.862112916864747,0.7942714309088252,0.7153309408877204,0.8686737690091277,1.0713512258523714,1.05361379778232,1.3960966172727625,0.9336757668365634,0.9312394289590655,0.9026048008789719,0.8251934183538672,0.7734708546083329,1.0392704800530048,1.4684301721299673,1.837647500647468,3.4909703718226917,4.267299065202038],[1.1638662790332965,1.071425922055322,1.107060848360553,0.7565371135365755,0.9340265282745023,0.9726950715514745,0.8987967937792684,0.9835662976717144,0.8436315779724974,0.7401166634890113,0.7508919116843334,0.9211287477413675,0.8248001385177834,0.6585119911413249,0.7596184744192799,0.8262305535260148,0.7293931357624006,0.7220255362798911,0.6968154519137376,0.7570746414588695,0.7195571662320654,0.7707734737862276,0.8440326932439848,0.8626919857223888,0.9363750802982865,0.7532434633420733,0.7617619197174853,0.7302988990558281,0.7614300663614495,0.8377953184166983,0.807740613790257,0.9601673222308449,0.9832206657751191,0.9182841886967117,0.9091803942153339,0.8568077682323689,0.9358962265970513,0.8880074644254465,0.8409995864520051,0.9379527562812416,0.9526284044366405,0.8403449620764062,0.8296036888838152,0.9628408361752683,1.3559106134180847,1.7508701419581096,1.7768730005293971,1.1372826620821186,1.2295812468725391,1.429800287747268,1.2859528970906486,2.42339065529268,1.6913680670618958,1.1424257364009647,1.956774578325628,1.0380793845964214,1.0506942499371204,1.1901732750136307,1.5307655292996745,1.0973353893289055,0.8470330787544752,1.050053905824866,1.0590728900416648,0.8539107270128222,0.753701252605369,0.8371113097805394,0.870554431698808,0.7649110848773137,0.7601192778288848,0.7179776058784584,0.9353782207469818,1.150148193023598,0.8952882933125307,0.9314649625484918,0.800619402742093,1.1075156936534831,0.8105074319444717,0.8536866266569261,0.8624150196323235,0.8991419927205373,1.0067060376627002,1.0225783533138977,1.4110402879546908,1.0351815960034743,1.021028647085743,0.9638218806250335,0.9137588346802448,1.0117787223075458,0.865594720690565,0.9325399444232235,0.839616543152567,0.870434682240885,0.8375802420257838,0.8653243783216136,0.8420797512535848,0.8658375963184216,0.8741382038100977,0.937626225435949,0.9871881065072242,1.2758632957113007,1.0942287707193117,1.1914675165182949,1.1071243616373267,1.1908499354414979,1.2240923167645246,1.2252367793421326,1.4165201838749815,1.2830912123105522,1.2742968313135066,1.289131430406985,1.1919526600083328,1.052054136230332,0.9468604473892348,0.8811633668629759,0.7377085450684578,0.7217607323480966,0.7639625272926146,0.6674687395891021,0.7356281927947477,0.6645945114205831,0.6480102661544677,0.6185794185298618,0.6441271079072346,0.6597108368941844,0.7370173303338174,0.8826146313388308,1.028509351804726,0.9804796041050039,1.0979868642637989,1.1306692850237952,1.1428995303156435,1.2680194475327926,1.1444770029728895,1.1754630927120513,1.053372568855432,0.9728419029129625,1.0521381620328383,0.9169482648976708,0.8223838095325517,0.7860200936638989,0.8578811002149973,0.8771603360943324,0.7659712255608457,0.7928575631015108,0.8279618977684512,0.8045715950742564,0.7911137499962966,0.8704918427948316,0.9450412076480708,0.9510344663949116,1.1099695137823005,1.0926183505030493,1.381943260176063,1.523769397307968,1.4552097579724563,1.151308814731402,1.060058223958983,1.116534082333168,1.0153741025253011,1.0909029456657522,0.9726815330659624,0.875811229754887,0.8335440179317225,0.8807381585237698,0.9802598206608402,0.9967566461207226,1.007707116093113,1.1036390811305683,1.1688818822325255,1.0707955403395566,0.9988246187195393,0.9121395002516403,0.9971889339274992,0.9939043969598825,0.9917637484023687,1.0760953876138053,1.0142664699051738,1.2265600144706832,1.008469158241132,1.1258548038326337,1.0150197804213628,1.1232542895831739,1.1108616874552255,1.0899045877991766,1.0511184207057056,1.035323627091039,1.070844852117469,1.1216854755880787,2.101956754679122,1.239222984267693,1.2238695919850973,1.1471721936433408,1.1340668683520527,1.1483862042887705,1.1492979029957093,1.2005281488790909,1.1404511105725328,1.1968098527331361,1.212978939439121,1.2494807966328563,1.2587588292185452,1.3005051494642248,1.223631947586793,1.229314513528844,1.2892585178087244,1.3047170467695162,1.2019883943275358,1.2673371586439517,1.4168704814100463,1.3252467165810509,1.27997325891333,1.3801257407452237,1.4829472685840963,1.27600326897693,1.2984484515567336,1.2301213817959378,1.4155259141874208,1.2881370018569904,1.2624047114431725,1.2690172189738016,1.2918728883455195,1.7777669241849132,1.5750517620344473,1.936739240195175,1.403791039204666,1.4202162854806102,1.5761952321795059,1.468812443290934,1.5121109071333951,1.3230834318846147,1.3566832002144937,1.3587535539706808,1.467442639153449,1.3650061593120064,1.4432610181261465,1.54137578332141,1.39921197521252,1.443446535272222,1.288181504516035,1.289002822072564,1.277075433063424,1.3300208224421703,1.390778345999455,1.6859486241913133,1.487962248348339,1.4467973784208428,1.468427572475884,1.5243598596234729,1.474343474486571,1.4555115506365381,1.5770442627680634,1.657068679114002,1.5287617381049812,1.5841900829541093,1.6957640191097145,1.7982473448533072,1.5821872311816656,1.5758625566948745,1.486843288844256,1.48725898931985,1.441302032411969,1.3958611841917068,1.3996455479081775,1.3256396362559115,1.3184625058287684,1.2897779691219518,1.2843692559839952,1.283169686468479,1.2523784632813288,1.2869738904752468,1.2828050317093218,1.4015635988805686,1.3768296607947454,1.5293316390009644,1.3418695861219327,1.3430886133356215,1.4254535607211893,1.4671399983207971,1.6129206167689678,1.346370833780944,1.2496845662991012,1.2593101687063044,1.3680768300091206,1.3288567364151695,1.3441791715669822,1.3113430471701453,1.256847741894447,1.2062189785437998,1.1788649227042622,1.0736619021550897,1.2790268520771317,1.4676671235200291,1.454262843717544,1.6282495041596796,1.344376348558638,1.3698959605161591,1.3672749218805087,1.173266620298611,1.1410572124711982,1.4605603924429242,2.019070474533686,2.6626168608141025,4.4208247295343375,5.261800395805405],[1.1490767268623403,1.0927967918758001,1.1542842665133752,0.8212957620912931,0.9805088839606637,0.9636583060437499,0.9165276833315773,0.9532101286091383,0.8428403643050085,0.7552015782201991,0.7388312080660233,0.9104872952817128,0.8251307790953986,0.6891596730230981,0.7527748327612284,0.8267644655307105,0.7756223078232145,0.7624801721435971,0.7601788207753201,0.8217125660718468,0.8020712331709438,0.8375474182076098,0.9291374225931599,0.9567712372009869,1.0275180416267709,0.8505379992832248,0.8422312614321101,0.799008518972803,0.8099195714258618,0.8478431086109877,0.8173021215337425,0.9384381918329022,0.9643175004066048,0.8872320253949414,0.9000601182923853,0.8665958697845714,0.9324368074366547,0.923401070008528,0.8901081988909217,0.9871630579956788,0.9991636185769487,0.9194540817572011,0.8988864218358865,1.051820040691453,1.4362770143294816,1.8168845083401506,1.8626335884648926,1.2268452814887973,1.2861832209617872,1.4939953276506344,1.3552229276034073,2.392424790983179,1.7154102326901577,1.2120223433530082,2.0541321217221786,1.1156780625959726,1.0896028130346982,1.306688217984903,1.5800270895806396,1.13931123711502,0.8951738387502919,1.0448918908688223,1.07554613337723,0.9058810736096846,0.808357459474467,0.8887335557255721,0.9070495249880706,0.801997633787356,0.807298045024272,0.7599821064330473,0.950542822346109,1.1201317164748308,0.9074119559786621,0.9745537125293031,0.8286152833940382,1.1181210157409072,0.841514617564857,0.8635209688746124,0.882431161637266,0.923139430971643,1.001978914050143,1.0479863754976182,1.3862013546056098,1.044504517555646,1.0442365125153565,0.9885912020056802,0.9419301713215228,1.008374228430273,0.8862515804818042,0.9234216221524891,0.8422008915899775,0.8937883469955997,0.827338592576031,0.8346429025139411,0.8183323590134125,0.8261052732248543,0.8477602465261302,0.8989963419460608,0.9419430204746426,1.2031060974073315,1.0474379922551291,1.1360723228892775,1.0683447567710924,1.158866517366692,1.2431035512669475,1.2125415670106445,1.3771641968891286,1.2623406120746934,1.2520392583503193,1.2611950619489636,1.1874752171979885,1.0681887507486432,0.9659568658987858,0.9354451481324398,0.7922027064832929,0.8019341184643557,0.8365858556192615,0.7656923855633196,0.817144618063329,0.7374268219250557,0.7241249438457843,0.6982662871262669,0.7431804855144066,0.7448541034889052,0.8000271761869909,0.9561127040025754,1.0547311775185937,1.0182938557238692,1.1234129848987244,1.1403927677018402,1.1593395875497656,1.266987284459072,1.1586371899393142,1.1803276490382093,1.0857411906741652,1.0098274010608446,1.0813096439449636,0.9868864448812753,0.8958053258166138,0.8685486572036363,0.9372783872558359,0.9695851577873976,0.8544980606184194,0.8702740548810814,0.8980957018683898,0.851803632598751,0.8438689717925508,0.9003855457377855,0.9640668523666771,0.9466981442947338,1.083021520835664,1.041669337543873,1.3107081104178504,1.4745527714185271,1.4188687174043666,1.088010146005712,1.0168897183445904,1.0791002307437472,1.0006001710708048,1.0939579385197835,1.0009428371001643,0.9083930290609292,0.8895911408936724,0.9250565587284006,1.0254006313340125,1.0528741636875798,1.0544063990639596,1.1572737067193226,1.2148732206353663,1.1184198611550278,1.043840851432175,0.9715107749101118,1.033102816206967,1.0231359305638725,1.0148390477476348,1.0887805717057453,1.0147316666346742,1.2036050350593988,1.0218940165862012,1.1188604499081762,1.0550663822397237,1.1372522208582048,1.1251138199132789,1.0986481926462264,1.0827127982004723,1.0660614181604937,1.1236960489512282,1.1675445076948756,2.166893125775508,1.3076735429400654,1.2653190585259224,1.1806876800140171,1.1705570960066702,1.1798784349560285,1.160680246671684,1.2123083893965083,1.14648647000229,1.1949685992656467,1.207565864113108,1.242115687497372,1.2158266785028806,1.2505872282846167,1.2062886165697961,1.2046383537506187,1.2344206241646751,1.2669256644574518,1.1947693979230427,1.2281030429322985,1.3376904339114146,1.3027083738802576,1.2598248039440585,1.338801804239766,1.4435925734305521,1.3062562332539673,1.2759526720711318,1.1561273700981933,1.3634919736576656,1.164851897167347,1.1816236174236388,1.157357010939591,1.1632368242419149,1.630673526283332,1.4126643731210307,1.8191668207359577,1.311631975007948,1.2994757166501152,1.4941760798677677,1.3816612077413604,1.439976599710479,1.2721848423955564,1.3174759964932443,1.3324560940176584,1.4558957053345765,1.3579661303250783,1.4216019880851578,1.5387557472048576,1.3688689010262443,1.4412855208662807,1.2680843628470593,1.2567721029861492,1.2331562462166747,1.2760351450837988,1.3198085382908549,1.567350212396911,1.368773254757822,1.359987342322307,1.3487672762619423,1.4065123068092305,1.375755168989624,1.3688408062536903,1.4582658786401304,1.5389306430794443,1.4349682640736008,1.4667148378841401,1.5627940419771305,1.7032387694404758,1.48484312408819,1.4724770009817585,1.3945292806852674,1.3832914189336998,1.3350963732624084,1.2756765837064499,1.2902562993532747,1.2436291110698292,1.226820664850597,1.1802466143158137,1.1779440711670943,1.2079690347121852,1.1681912599581108,1.2048661539239458,1.2085301981117504,1.352893663222606,1.2932390904393485,1.4287500658340053,1.2877113174241446,1.3002160762380606,1.343789953324788,1.3952430605325679,1.5341013331756645,1.2910354334977163,1.2114846385589073,1.2702675189170667,1.378356222853887,1.3433423302838716,1.3498899129906798,1.3195335678606093,1.2474043732194868,1.2312137682298,1.1894598705761539,1.1110132061842233,1.2672305957873482,1.4388446856914754,1.3655332780048892,1.5595924248256494,1.354521896398625,1.2912148196021338,1.3022263033127208,1.1133342583180221,1.10038933722875,1.4777610712304123,1.9463464169116809,2.2767929741395245,4.04691454166153,4.729777856274945],[1.0461103268050602,0.9834356474526375,0.9722147505014921,0.7933726858452796,0.8993201014457063,0.9605216564846764,0.9261158093179824,0.9445807692727106,0.8990510608496693,0.8327679699776718,0.8372254458459683,0.965908584430211,0.8882388922958134,0.7859231869294175,0.8611764350321297,0.9028853514058999,0.8392579524883805,0.8397035844473412,0.8236656051151584,0.8663455977363417,0.8390472579346953,0.8725898724726032,0.947839785241077,0.9397498371987764,1.0048214295816484,0.8567041217062822,0.8633096919325474,0.8384585495504404,0.8559346333955448,0.8881974622091803,0.8973092687332999,0.9747538748692811,1.0054160611331413,0.9422230380689475,0.9346265554239481,0.9148961467634925,0.9457446857657101,0.9448028116586684,0.8942601982447762,0.9533020180092364,0.9978562328992289,0.9278473068589564,0.901073589658633,1.016821279581194,1.4033079835000302,1.7922449670105294,1.7994186527040714,1.1704274293786785,1.2518525312756192,1.4306810019269036,1.2830119840687004,2.419860398659437,1.6904382695884776,1.1623886427206827,1.97849208985101,1.0585278205605813,1.0739046640339835,1.2453184058973443,1.5651392827155535,1.1194984824398182,0.9159740762027077,1.0902544090177004,1.1163263916816006,0.9511606681501971,0.8551445221842703,0.9225166402468663,0.9622417549723717,0.8807378992350289,0.8764289403335304,0.8494850451880155,1.0280911226834104,1.2067110852225555,1.0073211784882683,1.0413779397398295,0.9200417394599366,1.1930253799998476,0.9105168920729148,0.9268242747931287,0.9192721067422372,0.9423909436463273,1.0025677279752943,1.0226586450304422,1.3705144791955757,0.9697446542462811,0.9931134740656904,0.963362962193345,0.9510506199296759,1.0112381119197664,0.9286982649285238,0.9665232631173845,0.9196360576457105,0.9626173884413659,0.9174930082194551,0.9192254222354436,0.9049178806916535,0.9239694549471874,0.948401053469742,0.9557363960082631,0.9783773661432574,1.185013496033472,1.0347870273262227,1.0716594153057144,1.0122533471888842,1.054422739291068,1.0871534897715318,1.0723313218470951,1.213622969440548,1.0589020324381242,1.0537943425329266,1.0854625201002293,1.054517999155475,0.9864948725141683,0.9409270512400695,0.9173346201710822,0.8305367311798545,0.8270972994720948,0.8840272549551047,0.7807781941202145,0.8337747158886417,0.8030515190467705,0.7893058192860798,0.767518325181007,0.7763927641914012,0.7844182258376945,0.8402700279785804,0.9299931948006136,0.9952522601903516,0.924250962077873,0.9784513819564686,0.9842758376940218,0.9817986083621131,1.0510988885182206,0.9853313878280151,1.0083432019680845,0.9546807924904988,0.9209636881924009,1.0083972255668796,0.9201029226722552,0.8697979296722252,0.8451718907659755,0.9081636571447027,0.9166744851706399,0.8531404432254986,0.8707434767020859,0.8985488891994814,0.8708492205816613,0.8591311699553954,0.9102856997464828,0.9351146482843242,0.9462506289336531,1.020044547065093,1.0124751687344593,1.2525514464151364,1.432506665602672,1.3894500900323796,1.043603287766755,1.0012463950186592,1.0204110044971775,0.9808048237320225,1.0207517755746696,0.9390686273384992,0.8864514626495495,0.8662434911760779,0.892668872632968,0.975210790734767,1.0122307248409008,0.9798737605248149,1.0863432309605205,1.1373760049616806,1.077540726392298,0.9685642026074831,0.9043041750827362,0.9652042304465277,0.9433369521033637,0.9449226613169209,0.9969423791863032,0.9731566909708441,1.1413591233965468,0.9438072349244634,1.017500907582703,0.9469126877658631,1.0110106880145908,0.9723315267719643,0.9642748868824464,0.9707545023782452,0.9928923951456405,1.0746422370237876,1.109186630639977,2.1141474704706775,1.2014316172009882,1.185825302248514,1.0995433445123803,1.0559890792775948,1.049709572729231,1.0025597540754234,1.0132004830332086,0.9723296678312839,0.9519626320163073,0.9445419059106632,0.9899643179981236,0.8841384376763555,0.9299643278849341,0.9296755889607484,0.8825655689638885,0.8449238014165629,0.9192733950527022,0.8976115905982823,0.825902329129092,0.9118781124620932,0.9246333681428139,0.8167235746740452,0.8355981596323429,1.0217290085037842,0.8562375011177763,0.7831877633669111,0.8056728307992387,0.9688952861834187,0.9511540943588314,0.7952136349386613,0.7287876965067271,0.8065555911123912,1.5910525928703545,1.148989626318455,1.6200423732551608,0.9492944954309354,0.8922234200114987,1.1160967369277603,1.0110915685430601,1.082395130105103,0.8820358927619538,0.9573184770926402,0.9594807147585012,1.1327190673678087,1.0275934147867496,1.1429349255025298,1.2265368525822993,1.118642917824709,1.2505722856334591,0.9815385310005338,0.9709605072850563,0.8992819384818886,0.9143823474080734,0.9840858742864638,1.209563211165598,1.0693665601546458,1.0376581247001697,0.9599185583597133,1.0551005438924574,1.0786411846131516,0.9947917792509643,1.0939176693824992,1.2191787112415426,1.0712863359372649,1.0456427129199468,1.1842771135212773,1.3566477198890747,1.0293241080630235,1.0180068661028405,0.921236066878659,0.9274435783361767,0.9045321995127458,0.8301503075512369,0.8382893175080075,0.8025376154176959,0.8266996844888993,0.772970729365722,0.7847618910160209,0.852064364300431,0.8137707845166303,0.9540040022435504,0.9315393876948515,1.069859305823577,1.0250769136802311,1.2052277650646015,1.0546535374626607,1.0883823092758005,1.1417654006111553,1.2141850051404133,1.406674785550638,1.1273354483561684,0.9578063819797943,1.0001098949147844,1.2510189889513441,1.1787361649547234,1.1943335410562053,1.1657651765907486,1.0192356429943403,1.0256486883603002,0.9661414294186971,0.9515537757573236,1.0750022375197714,1.2462710825907344,1.1303509304003905,1.465271416355588,1.1906933299982416,1.0459997527704958,1.0526453662202124,1.0264328327729633,0.9811443735616372,1.2032035968251682,1.688760012806951,1.8985131295259356,3.604558574856056,4.042401527772878],[0.7077821725493428,0.6203228528074963,0.666347524415886,0.45391559056517095,0.5637428734070874,0.5912337548835295,0.5559580761654177,0.5735112494849901,0.5453589251632822,0.4866975726940583,0.4924362929593973,0.6183319509192299,0.5157687949857376,0.45811844817377356,0.5131558700998423,0.5302147572902453,0.5149291293456078,0.5219740982957382,0.537868130249216,0.5538626718029411,0.561104662522696,0.5647389833737456,0.7288717418866268,0.7435869096071636,0.8077160906876326,0.6134736328037705,0.5417301686099835,0.5100125513284227,0.5153183963154396,0.5224433645038902,0.5512320291598738,0.5970362601253595,0.6317210603171387,0.5684472275552277,0.5584548469432772,0.5593089176257953,0.5646498547191687,0.5710203106748238,0.5230909630998207,0.5897624271662525,0.674916255264166,0.6148918678216205,0.5712968096941898,0.7845096612903351,1.2568453690397723,1.6475349225040292,1.6901263170380911,0.9908900118431424,1.0664715847927804,1.2867243840907407,1.082956721331113,2.30356745622899,1.488914877848384,0.9165225872328657,1.8420974279162228,0.7656939080707329,0.8150202744755346,1.01876735932653,1.3496163901329647,0.9097420685377988,0.6453466338955917,0.8586660545095947,0.8578447934323684,0.6932464579288478,0.5736780464080016,0.6434270236502052,0.735763430622725,0.5902161859038642,0.6885416790396841,0.6209700782397977,0.8785539606052226,1.0894902331881304,0.7986739711411166,0.868655039357003,0.6204553716153841,0.940167570585732,0.5850867739762189,0.5625809781405573,0.5648440153079871,0.5940414205551058,0.6265904267713757,0.673561379420277,1.110749464768224,0.6131578705313023,0.6401764435175125,0.5947894847300288,0.5754652884132675,0.6574627536884704,0.5714624157441385,0.606881999619593,0.5616669618680173,0.6839710067258999,0.587978521149633,0.5603860918860062,0.5532295490080299,0.6135080475140449,0.6500032755838357,0.6070560012800845,0.6154222426540471,0.8804746753631519,0.6671467137145651,0.7465984982230947,0.6327331321248943,0.7057240157231738,0.7656780631241499,0.7398976343034737,0.9479561039146126,0.7428932258929873,0.7308418716432549,0.7729068006170005,0.7256780784342469,0.6265594660799426,0.5598001620685099,0.569435221940585,0.4874643686441396,0.5168835679135816,0.5822913418096819,0.5167492570187248,0.6300119109691652,0.5323575876775243,0.5350189684211109,0.49427551959681826,0.5293533909120831,0.4881565297477933,0.5130074629744041,0.5964924013339566,0.657578942973736,0.5784280051060661,0.6420310904454355,0.643850720404571,0.6704973949893768,0.7550651219415615,0.6719547747919089,0.6850711428818236,0.6309935701010061,0.5954238509267304,0.7378704086399968,0.6357333984261003,0.6201179899167681,0.5483803771862665,0.7292568003058535,0.7450579740369717,0.5912737086284501,0.5839609406308933,0.5648091479282842,0.5086648217238005,0.5050868156224624,0.5496857881760213,0.5533989500484059,0.5717639071502091,0.6702594752814788,0.6527398572489058,0.97448531597749,1.2513098907348,1.200769309083682,0.6940863563123413,0.6264107276072151,0.6584699506743613,0.6027819916131028,0.6577720647805821,0.5762387374148572,0.5286477313599889,0.534621023568877,0.5544132119574399,0.6477203944173486,0.7280010163016265,0.6900326058871608,0.8623689337584058,0.9087185698321142,0.8628564502124838,0.6829284891962271,0.6046453853580507,0.6397754624002764,0.601943017723158,0.5775083107819626,0.6378995155274945,0.6014867989476771,0.8252602926002979,0.5764701311290366,0.6640324159274256,0.6245084346360175,0.6651202890661576,0.6516217229489772,0.6687386572715185,0.6643732712602479,0.7002242213379591,0.8125399129130695,0.8697737374499933,2.010806617022408,0.9625783843574788,0.9691771995652683,0.8514688545766304,0.8211894914872033,0.8094855459818073,0.7246686272738928,0.7620278077310739,0.7053060789972934,0.7018498647706767,0.7030853138221912,0.7424567618780453,0.6596752603540257,0.6840088536589368,0.658233258308209,0.6588979664304161,0.6533033217681896,0.6923978846350527,0.6594709067774382,0.6752836303499724,0.7699785630044779,0.739219504162582,0.7025580183258949,0.7955921467182618,0.9181443745493628,0.7705789164219483,0.8178470584623788,0.7552426052526676,0.9946129365442772,0.852382325952112,0.7228842521088669,0.6921166146600954,0.7613296036112753,1.5282532946668828,1.1000129940148544,1.5733894398319554,0.8931818324934806,0.788861208740505,0.9916975462698687,0.8815645504372155,0.9937597588071005,0.7300813031089395,0.8081625641067353,0.8561208506685687,1.0338526186576007,0.8912954591013753,0.9851963290296009,1.1220386212711329,0.9778869423877394,1.096666640158757,0.7939002183666358,0.7435431390012534,0.69270943194553,0.7301793429280784,0.8019422542843733,1.0286160534771125,0.8760039013050878,0.8256308244228467,0.7772206698556577,0.8606920500830662,0.855915006870949,0.7988156293137084,0.9385000976396416,1.0596117150122029,0.9048225638465903,0.9325596983129043,1.081590993821685,1.244000099110194,0.9574535671050414,0.9671639580928453,0.8663719260689098,0.8511199943002086,0.7750210240974666,0.7254555769989696,0.790272975702185,0.6962752601361597,0.6911821756258413,0.6819468537608534,0.6910169095391633,0.689348593188155,0.6949069580139627,0.8795981118060033,0.8034082703531151,0.9484545980782155,0.9131849553113222,1.1133922598226855,0.9620307983071815,0.9447646621863538,1.0310730987835277,1.083390846017379,1.278556264070544,0.9403855892644488,0.7887905490243728,0.7493382926481816,1.006618162518649,0.9718691085132145,1.0372676033842139,0.9914286516027434,0.835593485134136,0.7591616389591441,0.6848330981761147,0.6454930498365179,0.7528237558292574,0.9796467051727991,0.8713354121176909,1.309595937939516,0.8683823285606712,0.7375234881409808,0.7310967577404826,0.6816086369456623,0.6483034457209884,0.9378642354954737,1.3242223572461895,1.3518746583326877,2.9680103630256274,3.520664637633112],[0.35710759638647205,0.32050005178583346,0.40792556996788376,0.2572953849906384,0.39939889989851557,0.3957898417394842,0.3520630640306312,0.3864385990529707,0.39401005812035067,0.3400844084156809,0.3694075382860233,0.5100712602183507,0.3622212889779593,0.3277058774847808,0.3984738302656816,0.38956255034052517,0.36939229137598795,0.3883926094849971,0.4181566761491024,0.41514507709722925,0.42632851529577626,0.43673154116382673,0.6347397416426757,0.6295810457101949,0.6830120711876585,0.4961801422627318,0.3823173338508301,0.34254896392469575,0.35016098576120025,0.36432122857483584,0.42130600472623253,0.44977853930113865,0.497662325591944,0.4423758646299126,0.4129580436257963,0.4028703068107261,0.4160277214887711,0.40323680143349094,0.35686984775049885,0.4034832142859898,0.5444058631049153,0.47982881111578063,0.43262237213524957,0.6582821678014648,1.1708168259753693,1.5869451889769142,1.6061621617351536,0.8974364801778009,1.0238919507883038,1.2269419868324511,0.9720178378845742,2.329366567405358,1.4265364181535807,0.7919180592679058,1.7316219263580346,0.6287207794129753,0.7465688065723,0.8521700040553734,1.2542329017541631,0.8392642813882305,0.5653742071718237,0.8035246092365719,0.7753993257051345,0.5830107310935111,0.45438750298479863,0.5102772102635066,0.64841473758837,0.48895727194281347,0.6204042582592865,0.5391668894354346,0.828119750095064,1.0701486644346057,0.7532668424359042,0.8023120603150404,0.5341897427750117,0.8855373662733523,0.4585170880621969,0.4432445793800681,0.43026010595239633,0.4581859470297685,0.4785677775290444,0.5244263547979588,1.0175816113441338,0.46698002033750036,0.4929781663492726,0.4268896503942013,0.40654035422177326,0.5597646592900009,0.40736931767061885,0.4822569944705207,0.4418597819670224,0.6076614601168115,0.501828686293378,0.4619131919873411,0.44430069871528743,0.5274858969068211,0.5729701296053267,0.497178612983331,0.49567566814293684,0.8006481442565136,0.5294715915755865,0.6188167514100819,0.45819440540723194,0.542960724765593,0.595154569201061,0.5498505156115168,0.8411496073299061,0.5401426589814867,0.5402501378746489,0.6164213127238786,0.5430858421415776,0.4182947895272938,0.3549334524324787,0.38655190409401574,0.3135370246144794,0.3518198858974538,0.42413808807223613,0.3745926814997355,0.5192731219945049,0.42279861846326067,0.43415276260683894,0.37429720353160595,0.3973231437126724,0.3301463047405714,0.3334789986440033,0.4338495029557323,0.5261964892607995,0.40214880326482266,0.4442348248552057,0.4531113660077667,0.4860691601876003,0.5766157797308783,0.49583413544132704,0.5304084257616098,0.46569689352266863,0.4451980029812908,0.6297206103982403,0.48522717964435375,0.49115707481100107,0.3942149722826734,0.6404039433163345,0.6313316564412261,0.4577934893649766,0.4519002582865951,0.3926633211299079,0.33613871230461473,0.33224256490117576,0.38596948376876117,0.35494787028804725,0.38340645923243755,0.5137768542001081,0.4944085808226561,0.8943782944421866,1.2360287749394532,1.150021991420792,0.5600381172837416,0.47301377711159326,0.49067665757642415,0.41613374207208226,0.4843598045184826,0.3933593399776211,0.36941326534547636,0.37934480403115306,0.4065805023547863,0.4987237743604947,0.6096426620729652,0.5613746110526057,0.7675512436819941,0.8090513963896763,0.7813946421346061,0.5597924305818582,0.4538983947408442,0.47695080690544867,0.43867072086561604,0.3992335463834793,0.45923649788439325,0.4438616977869096,0.6948799913461151,0.42498048835959656,0.4768454809169585,0.47560490806684735,0.4745652189080987,0.4737990664101024,0.5238361846896095,0.5226004835208873,0.5883977676873999,0.7046934307987717,0.7563836647391865,1.975373407380904,0.7920389679269888,0.8869143185942872,0.7337365453080315,0.7059525685798811,0.6896803804284777,0.5702568694332117,0.5826179846082038,0.5683272281742807,0.5216099348392107,0.5308527490890017,0.5779367397055779,0.4846781900097375,0.5240989890665105,0.4797588185083343,0.4899798990370184,0.4957213418900319,0.5299550807648954,0.5373240378099564,0.5510153671779032,0.6263513871193598,0.5757780291545049,0.5827848566092866,0.6675717911470987,0.7682114031665299,0.6301824640570787,0.7352544007448217,0.7356010130415577,0.902729783418307,0.830011228618652,0.6512384202883131,0.6174068217580354,0.6867014466516619,1.6573382035867437,1.0616523013530923,1.5740523842500735,0.8471900279412548,0.6695682202793047,0.8102270936761665,0.7411777473905061,0.8218723672226916,0.5671809609528614,0.6825991571250167,0.7156090209806504,0.9223636963029538,0.7558531799981603,0.8663985897969941,0.9505634313396291,0.8761856767992804,0.9819119993112105,0.6530819918644706,0.5736123536068051,0.5345607054131146,0.61700978724994,0.7284698871771482,0.9083297726139017,0.7980740591879023,0.70365115401776,0.6601656027267726,0.7644606038146351,0.7418282024745195,0.6542028450258277,0.823474665710316,0.9467063231438458,0.7692494890076134,0.807705085359643,0.9910756876150376,1.1185692004618657,0.8284409209411523,0.8526205722908161,0.7486877651159065,0.7240078329445144,0.6394409425124459,0.6013779849340117,0.6635733137400364,0.5704766003225199,0.5746379087512195,0.5693461614527825,0.5913773411810497,0.5570054548091049,0.5823033307080694,0.8163756490597398,0.7367290045438475,0.8207965316107797,0.8105349528872254,1.0220484421347664,0.8755185461983147,0.8746000976897207,0.9610876056020414,1.0463039947993524,1.2223107667382185,0.9013056712103371,0.73550705061682,0.6341807430552875,0.9596803385617612,0.887172801125105,0.961925334603872,0.9204165970718609,0.7402651289607465,0.593168968470582,0.5031534153861228,0.4751691938714006,0.5657139441074255,0.8128133925385425,0.782124133925511,1.3774240790868768,0.6274606852276499,0.6174886094322576,0.5342369204941598,0.5071980639251376,0.4270817509021431,0.7880227864648545,0.9146035378097198,0.893256976559576,2.232018826771087,2.754019785627137],[0.38033550272426203,0.3289483015502454,0.4230553786421388,0.30868426823570894,0.4287179499189087,0.3890212995907606,0.34481837882554794,0.37200891246958073,0.3752314270117875,0.3305942901812781,0.36645588550518393,0.46200725449203084,0.3374076394221953,0.3448178821849466,0.4106528902604764,0.3836742911937117,0.38175412133217784,0.4115532111257272,0.45234857007560536,0.42380357175617306,0.4766925403314991,0.47428009071507526,0.6522480090266536,0.693884136359982,0.7174590549395291,0.5561200783641228,0.41095532966724596,0.36639021591122894,0.3695532535654306,0.3735348853612962,0.4314954810971551,0.42657057671503923,0.5061492002378926,0.43963907907874755,0.40108934870328683,0.3958057812445509,0.3922220099342818,0.3772086632522334,0.34536796990014057,0.4020482245462941,0.5572096625859201,0.4802082691049021,0.4480373481398264,0.6923129289868877,1.1605437694105862,1.539194395758109,1.6189281191478926,0.9263181314854426,1.0464231924763148,1.2244722796143017,0.983673429887253,2.413585969877694,1.4452370386253053,0.8314968203435773,1.6459154973748396,0.5598302843272522,0.8021140112488524,0.7307827532387201,1.1072974269081577,0.8719461240284377,0.569427113874211,0.78464238771818,0.8134898262347827,0.6851546454715509,0.5075723090032942,0.5521319934088954,0.7144293574490576,0.5309169223054712,0.6964818265074149,0.5785380379876103,0.8627124879971833,1.1154840281481593,0.7780305339013117,0.8829414163054936,0.5261736759149902,0.9381687905436594,0.4826926896602648,0.450982132920073,0.4258926261216805,0.4457492391419223,0.4822254699723747,0.520190533011316,1.0483697239463146,0.4654749866584956,0.4941402909123357,0.42225280597353076,0.40136632427217644,0.5475522122282876,0.3975721751299038,0.46921230208896114,0.45868770105278645,0.6593038066789101,0.5367844350614056,0.48064455891513636,0.4551198624611779,0.5601126649095209,0.59302335538184,0.51091915387627,0.4859217877009066,0.801937429103176,0.5034083064610191,0.6112694969821617,0.42686501128769816,0.5133850208502533,0.5651486150312816,0.5178195826867471,0.816567135807327,0.5185574421543688,0.5158008489377577,0.6220603636539977,0.514033386813262,0.403638085991682,0.3321222930441591,0.3870074670294137,0.3387728432331822,0.3665716291903678,0.42277203017947546,0.44303141326324497,0.6160456225788571,0.4869489914721949,0.5021873258181304,0.41355783586466494,0.4560140830147257,0.372798587417399,0.3433822605758504,0.41508490646545015,0.4905387713333653,0.39658386607924284,0.4321332453303479,0.44186259848696346,0.4905578579043303,0.5633799924371913,0.49184780820867563,0.5161374335922779,0.4722013650470612,0.4543684367732554,0.6392263841427093,0.5090002817553517,0.4909486125636587,0.42728492757149933,0.6983393064219828,0.7278721252703128,0.5149774521878239,0.5071745764066837,0.4110598485831832,0.33400727400080876,0.33496000959512967,0.3771290358399653,0.3354310261736673,0.366542508673753,0.4870704237298013,0.4976365145228496,0.966227887955031,1.3519697670408237,1.2210198768172573,0.5752788583222186,0.43724174262221654,0.4580541016496269,0.3880525501748024,0.4670825755451557,0.3960541585247087,0.3709150084389061,0.3933568886412336,0.43601000878228807,0.4877685841399942,0.6522190055342896,0.5740929994668217,0.7772676253524046,0.7962649779059956,0.7718399899162949,0.5648574508931691,0.4694946888009461,0.4681829901288165,0.42013902190807995,0.3829007889804044,0.4397595536258833,0.417822870840515,0.6785998915210734,0.4165620220652381,0.4457713141055017,0.4515271979802804,0.44796459625590024,0.4686193065803271,0.5211935980428517,0.5170773233283662,0.5969538433550956,0.7207929773256128,0.7890774423629164,1.961252579637994,0.8561436880654963,0.937323384720932,0.7823048495492368,0.7385539796268459,0.7118596425562618,0.583406050160626,0.6084243577422601,0.5816675112353521,0.5401715038442562,0.5489264346499578,0.5900058595547117,0.4945398759968694,0.5233522869501225,0.4810428277653754,0.49849572126427716,0.5012167992253729,0.5277312627739972,0.5473162459700716,0.5626622487493713,0.6316668431118493,0.5742262986269767,0.5913337740386768,0.6755893766172639,0.7530740793971948,0.6214551691840062,0.7420868616938376,0.7292120626447236,0.9165961810858102,0.8450887178357289,0.6752769420736826,0.6385703663897005,0.7252111085876946,1.6147193327106177,1.0990074351535806,1.5730982309003059,0.8452922155710729,0.6818045315134391,0.8263122097012114,0.7522961735449858,0.846931946736823,0.583893673289282,0.6881218831389198,0.7344433684400314,0.9416904483600709,0.7680817184514894,0.8783397996721908,1.003652124726752,0.8999237641319998,0.9973060058764827,0.6682464510903281,0.5784602555809151,0.547530571014414,0.627941523957112,0.7386820684679483,0.9143437753018169,0.8126159139815404,0.7092694972630843,0.6702870257146253,0.7809868180520395,0.7408311814726659,0.6608246593428259,0.843536962316488,0.9625185043627442,0.7737677933802133,0.8369984763417536,1.0348813588858448,1.130634416572624,0.8474607285339806,0.8904256159053037,0.7733603573666461,0.7485497086438722,0.6531029440039959,0.6186660803870369,0.6895356402302409,0.5833341876090179,0.5770400129543194,0.5906476104198279,0.6109707025437028,0.57690829647035,0.6037725264134354,0.8508747802138831,0.7613842069658163,0.8537128474921939,0.8607290297804598,1.0720854779457112,0.9331904110558893,0.9150334728440717,1.0316018276958236,1.08138769754214,1.2749431645625198,0.9094888673993136,0.7407666633608881,0.6404990024127605,0.9256943837771029,0.9021937295895246,1.0009046776675103,0.9500573083657919,0.7617102462581851,0.6101233004627301,0.5182832860518578,0.4967489271954154,0.5526810087878772,0.7891565373503845,0.791194102943786,1.4404404980285916,0.575331549277814,0.6322787682282742,0.5557272496529767,0.5310820060374942,0.445798595136781,0.8472967282939223,0.8206378581763955,0.9276358174754196,2.1321838912565054,2.9291559715645774],[0.40734320149852477,0.3504208752532153,0.42661107736102327,0.3649793347797829,0.4466136697049977,0.3742140441911917,0.3451220021750339,0.3688407938550757,0.3914919086429795,0.33789506242210327,0.3615500757973454,0.442679556117777,0.3314734187783673,0.35545060834428366,0.416147946637205,0.3776918932322567,0.41859402551647856,0.4484106036905105,0.5058765230247143,0.4890327650777639,0.5542429652159435,0.529563738925415,0.7323620621665563,0.7810339661971981,0.7664896789628086,0.6295433313487989,0.46589622624782223,0.3997661771373732,0.38892857731049646,0.3895264176440044,0.4565429220142034,0.4261394167602409,0.5149883770726192,0.457107561892161,0.4111133980656921,0.43722089030800976,0.38640264478933023,0.3826964974221031,0.3619926763748172,0.4020107810141068,0.5649368848550425,0.5236216323447479,0.49382049196946365,0.7504491428589053,1.2000985634237193,1.5357487118835695,1.6428747798589,0.9926028219417838,1.0647204648032405,1.2437605541149435,0.9944379796571167,2.426363821689958,1.433725589065931,0.8511192001039667,1.5934032780795586,0.5370946113364855,0.8415179823382541,0.6826985214564171,1.034236574892454,0.9275804065206001,0.6249870314510583,0.8054088991493646,0.8617475580410542,0.7610799801803939,0.5826553882379993,0.615072809252641,0.7879019728849943,0.5761384829088805,0.7658134901844086,0.6142797166713059,0.8906751705200254,1.1576673023908568,0.806938898118116,0.9433999123830387,0.5661880837798501,0.9950856276583806,0.5461153772165097,0.490648162996021,0.4623884073098909,0.46814452690577846,0.4818598422859978,0.5235297343155934,1.0697386069354,0.4670929368462582,0.5307625686939629,0.4318451392772024,0.4085820446872549,0.5301181258698491,0.43731453597076453,0.4865628464912725,0.4976253460087115,0.7146019026507755,0.5915081805464376,0.5032206823624902,0.4633697487909814,0.5788555263584568,0.5983660091325502,0.5157499250730756,0.47190517068291077,0.7911544898410959,0.48219573282535133,0.6068951995886024,0.40484518109342904,0.48184441873902645,0.5282113810595536,0.4739593239460397,0.7380597982629288,0.48955157219318707,0.48962742892015937,0.5883478539835459,0.47271288574559217,0.3888032013289285,0.33573036101221454,0.38781755084201835,0.37623641205333447,0.3942163541839931,0.4569937654178291,0.4943908166694044,0.6897057301209872,0.5421441973045488,0.5513442538291577,0.45179183826041824,0.49385586209417126,0.39093322679887754,0.3561478796589947,0.39876842255781325,0.48066815817379965,0.3814468343342653,0.41979845760662776,0.4320616049244676,0.4868972151129286,0.5466834899564152,0.4750670570116035,0.507044104328905,0.4704752682368227,0.4522274287108629,0.6587457050014995,0.5093480804151121,0.48100144298523956,0.4371832760206535,0.7190979999382303,0.7836943081485469,0.5358986016792464,0.5535723914793345,0.4340809112019757,0.3578365787377828,0.35464161924122234,0.39197387185996363,0.3494241649379348,0.3918896042935051,0.473317125329014,0.5141717943698495,1.0104062484305871,1.4332841347437242,1.2749133979981901,0.5656285876854684,0.4032315652652218,0.4289447734140098,0.3723952988696161,0.4717968110199737,0.3967813195469075,0.3876217875465102,0.40157690236469973,0.4538132172426936,0.477525599317124,0.6607753790966993,0.5748936361972224,0.7765255854137361,0.7709175467470489,0.7519395432637349,0.5628880453426874,0.4753839828410153,0.4602070984660696,0.41301341771932504,0.3813806900774026,0.4096431601897905,0.41576402323355827,0.6669468133050107,0.41588358949389814,0.4281636795985224,0.41933340696251425,0.43016586312737026,0.4575025362637048,0.503149209487068,0.5110279422102759,0.60879612747178,0.730934388772116,0.7982280744183351,1.9363181370978955,0.8794655600419722,0.9668689788605747,0.8270796831986897,0.7395732536707843,0.7010085955454666,0.5701051663218495,0.6157714486410608,0.5928044535391027,0.5403874696635542,0.5487046881468991,0.5947686465481119,0.4763165457352482,0.5010155858763065,0.4684123485956748,0.4888769457730736,0.4812834297989232,0.5123531290472902,0.5454691337764066,0.5440860590995287,0.6167557072026725,0.5658077725534526,0.5833642768861454,0.662090458666177,0.7363543881729577,0.6156031827782537,0.737971802550243,0.7314578771910186,0.9108022790662389,0.8334910434314046,0.6597206087428682,0.628646215544884,0.7132559153932705,1.6216715972686557,1.068519003256822,1.5590336562019058,0.8256450375848885,0.6478172815297838,0.8025364175785824,0.7348760910570156,0.8281192466580342,0.5627253526939998,0.6636472831099618,0.7153485393673319,0.9138768985125144,0.7447884421567105,0.9009628402218953,1.0185889541191886,0.9086410244737043,1.0261549653877347,0.669746654699631,0.5754417871582934,0.5172477571859474,0.5943880111347764,0.714401736092409,0.8911679957923228,0.8082157386936532,0.6792307507212428,0.6445096510512318,0.7609479484192456,0.7284104095864734,0.6261773764616407,0.8231175265542859,0.9446385183492194,0.7459380995493671,0.8132856079644988,1.0188133443809424,1.0957351011082563,0.8319762992056415,0.8756312461003372,0.7573240601043454,0.7277883705210315,0.6250870545578913,0.5919672386755835,0.6666207619673775,0.5651078534602879,0.5629800771362349,0.5686063996967374,0.5952925862903433,0.5555067530292847,0.588520944685092,0.8428403078326081,0.7495272595783774,0.8488329800473237,0.8498999057987793,1.067530236558273,0.9277652789438032,0.8976254357235085,1.0325366044417656,1.0841986845510603,1.250793708081229,0.891960540737747,0.731245954404454,0.6191342943754641,0.8866341348570146,0.8740635314860632,0.9936583626971949,0.9409559479037672,0.7620129246335188,0.6082445451413452,0.5129417282826875,0.48775791228511095,0.5337855286013627,0.7422662240451678,0.7795468276757838,1.5339043699082342,0.5237985197091511,0.6191255258231045,0.5735491988517095,0.5166702021978833,0.4372945983228919,0.90282680121358,0.7102812869575996,0.9587824440821505,1.8153905452776198,2.6776138030496486],[0.46249060871388753,0.36487630824528733,0.38833950445307575,0.3421149542449428,0.44991538912171064,0.32914416759965254,0.2777411160038223,0.3290256511463198,0.33012563939092726,0.27835371295662276,0.32169416885788854,0.40886537587261546,0.2876021969395484,0.3168673626706419,0.39857022793303615,0.34717848876023016,0.39899368747607855,0.4319656038275898,0.5112129292978301,0.4831449315281483,0.553354809394165,0.5296188875661288,0.7418072796787403,0.7684361861139207,0.7479405591049004,0.6315618723581791,0.45350932027783253,0.3815549432925676,0.37837514346223217,0.3738721485780951,0.4479872732540556,0.4199280645547588,0.5394583503981453,0.4741149297245265,0.3917083407113774,0.41319254035714387,0.37478169354128577,0.35790038315309186,0.33214873543517714,0.3720242470092488,0.5458999496779939,0.5065660350952088,0.48048813415124864,0.7212946453212242,1.189333008871169,1.5306936502390605,1.6270927947195868,0.987227748686592,1.0910246331685653,1.2715118561237224,0.975627541199542,2.4501536660384726,1.4108689882188208,0.8723265117329312,1.5790345231642824,0.5311595140238529,0.8378184821959883,0.6313172843577699,0.9821541597146743,0.8916126253694007,0.6146526876008238,0.8042759379311919,0.8672331176729712,0.8074651516482947,0.597356308400043,0.6077407067683085,0.7937533420902556,0.5702737150000676,0.7756417971206109,0.6068710529712045,0.8770444091412756,1.1595614254694453,0.7898725439169147,0.9370798089374293,0.5722630046495392,1.0472252315258088,0.5470993127989842,0.4976252237163767,0.45074599147129213,0.45797226481775766,0.4731174601992671,0.5250069376074913,1.0642070640851882,0.44045513729697766,0.4907039981706625,0.4039406067586759,0.38728420165583655,0.5283701921336479,0.41749324168674407,0.479190037247376,0.5071486525392582,0.7383647624899646,0.6040429895608396,0.5204313517904573,0.46410136428912424,0.5915672343959136,0.5886057585424056,0.5066757214646813,0.4718270556373674,0.8340751999175988,0.4902310897130458,0.5965902195011344,0.38212734833121237,0.4555277906090479,0.4727642969639997,0.4464240137017873,0.7067276074664359,0.4449549403736064,0.4587547929199731,0.5875244950321227,0.43762607740746434,0.3370344958359576,0.28224168071262395,0.32893581226787516,0.32482150658813785,0.35458045210244754,0.4108695632654628,0.4745343132175257,0.7175090460995274,0.5237714584974905,0.527197953935395,0.40857572638259687,0.45211032878252794,0.34025849342150205,0.2916371807603365,0.33900125165305073,0.4555605193993533,0.330514372174958,0.36465464962317573,0.3801393185641608,0.44497233359835414,0.5001726879494324,0.42339316745152356,0.4481451911861236,0.4012818399366015,0.38505932802677245,0.5995601165202101,0.44067994764426066,0.4425687347426319,0.37819121026937474,0.689776644116772,0.783907224360837,0.51871064517421,0.5175707522529364,0.40855828752695983,0.3434078129518901,0.31845650279652826,0.3508077964164709,0.3004261929024707,0.34309216707500845,0.45252389449020247,0.5080127497007239,1.022913527861048,1.5240191827420941,1.3321395604095585,0.5740906843407941,0.39455346991547435,0.4090802530040839,0.36016748118077396,0.426930571520181,0.35041842836600734,0.34651964482596764,0.3352365010797458,0.38549689558833894,0.4040777420129266,0.5953354002736002,0.5163199442646014,0.734108341006239,0.713605889424534,0.6962564472135013,0.5131430537588242,0.4064345209356613,0.39771377955831805,0.36167442125846916,0.32750742980776193,0.3756083851433919,0.39511996784109216,0.6450919671902647,0.3943594096154441,0.38849944969700945,0.39764226936778546,0.3593817349332029,0.3835615184528789,0.43763990184427937,0.46307292495942765,0.6142406310550902,0.7320285099835387,0.7919579898363034,1.9114620187377818,0.8480256058520441,0.9567627912269263,0.8094857610207239,0.712093109369149,0.6615616601294175,0.5399605126925718,0.5942892159872363,0.5813011304641926,0.5153122884544217,0.5226121244744961,0.5642898303705294,0.4398756171278077,0.4677161895248761,0.43440171519203685,0.453848538355392,0.4479971966689203,0.47501603856131,0.5314616259407076,0.5223834396924089,0.5920464353696189,0.5397275669306091,0.571195779403654,0.642229919219612,0.7064673111472798,0.6091892225568546,0.7336910176754367,0.729918594192146,0.9004351495049011,0.8278222291689857,0.6487650722293375,0.6189757592435655,0.6975915361041855,1.677455089190883,1.0554882695842809,1.5626694201356282,0.8273774013146498,0.6381301722093332,0.7663847798576467,0.720800671081837,0.7863932079515079,0.5312714946610112,0.6360593698432677,0.704215093324047,0.9031613381294806,0.7161878024447342,0.8815480892431025,0.9755727831572212,0.88857952284827,1.0075181751234654,0.6330768927991285,0.5484020262505507,0.5102548240881665,0.5963939584629144,0.7298062811419592,0.869410780432103,0.8298448399620734,0.6745919800813867,0.6317221849217396,0.7657360535781156,0.7212368454676091,0.6044543836484872,0.8190962701665089,0.9368142829528586,0.7213317384660888,0.792585425744331,1.0067381536749695,1.0598952217051198,0.8047077492208163,0.853329068360565,0.7350945462750746,0.7046216838031614,0.5988196112190654,0.5740388896656804,0.6486918936024586,0.5431276366116589,0.5403971380531486,0.5505628844821211,0.5817278074994714,0.5313214320233746,0.5628042577760533,0.8251715267217221,0.732403586111595,0.814371745906178,0.8250338729237673,1.0497591491049023,0.912552945575201,0.8813740997309292,1.0116953179154102,1.0726408830003473,1.2322957015304803,0.8759355019507764,0.719589045137036,0.6045011677005735,0.8666959828131005,0.8425717656994621,0.9718489040101213,0.9235350140419364,0.7383383099310326,0.582970706064083,0.4870941857674362,0.4618035262777859,0.4840456726194487,0.6486299381654448,0.7448670971519806,1.5586782534435089,0.44187471867534406,0.5966953137840253,0.6229052392643432,0.5434795322644114,0.43358819882894045,0.9790281983399486,0.6988540791740053,1.1697611671647938,1.7733626862653828,2.6388499749704817],[0.47640122738582336,0.38343523484211156,0.39467181542427027,0.3365919190616317,0.4836820937532162,0.3340078504774676,0.2891318486160905,0.3282815260519219,0.343507823053516,0.3018250934791082,0.33078197179876095,0.3971415941774093,0.3272982766128756,0.3584554522837651,0.43048713061462995,0.3811956311131439,0.4594269438838586,0.4916537071219171,0.5872009706051858,0.5641908953262295,0.6537892356707019,0.6377543906006065,0.8351006969880819,0.8522261620954803,0.8254239007293422,0.7226817060879295,0.5431765646563035,0.46016919607494056,0.44334294454738987,0.41268754025536086,0.4952155525594906,0.4409888540790839,0.5559255788081231,0.4971785403363289,0.4225224944164462,0.460551318606109,0.4135985700988634,0.432621871722155,0.42646461231331184,0.4647983308573814,0.616340482832538,0.5861034602890637,0.5831552589199736,0.8024079979181784,1.2405226452346463,1.5488449877762707,1.6910952135513917,1.068554888672462,1.150116659837274,1.3343339098351321,1.0430035249506122,2.4817005055470505,1.4188195936888686,0.9528868862102139,1.582980197416625,0.6221608315039102,0.9116794744515712,0.6785788831877201,0.9499688389145984,0.9768636960401366,0.6989153593649261,0.8227745635186198,0.9115470383989677,0.9175432723757324,0.6994624914186021,0.6927267939377638,0.868781075076192,0.6328480700879563,0.825173150630924,0.6467665349124535,0.8855208524072682,1.151323166096185,0.8046000176675829,0.9871215673976445,0.6115230722487413,1.1095898402490816,0.6098837305765358,0.5511166686485004,0.5050658052630093,0.5318785092359849,0.494205145218406,0.5765144000977861,1.0636532176683495,0.4668848949799827,0.5520949142236236,0.4373838024269579,0.4576389923922751,0.5538676426385531,0.48354947424430555,0.5022243426315163,0.5561421959230722,0.8157323063420773,0.6554739634301013,0.5596934693444097,0.48981180108826505,0.6155780863584194,0.5966066620137052,0.5070629508470882,0.4631731470200429,0.8181517284858455,0.47480807086939864,0.5775316986553916,0.3825898531930463,0.43363080757637756,0.4451501268304987,0.4374366913257891,0.6562411140075061,0.46716902371704505,0.4588032068995931,0.6021677896942548,0.4299066795477972,0.3546828089308044,0.31068173820562195,0.35269368786561267,0.3716389274088807,0.41579472111388044,0.46275817119752477,0.5390572787322478,0.8073560864397865,0.5827863468748821,0.5832311797581847,0.4609877495523081,0.5049998751476699,0.39653710033223066,0.32933985038759067,0.34771363817342776,0.4373080355596611,0.3442248176093573,0.3733443575648496,0.4033081595171863,0.46034284052053254,0.48825690690060464,0.44874013192899437,0.4602672577773753,0.4283084127523314,0.41422060907809066,0.6043414458893749,0.48737015503099956,0.48892361558059333,0.4548475238529908,0.7300323767596179,0.8761859413442517,0.6008329195804863,0.548810104422244,0.46997867209188093,0.4137550572354023,0.3793069706219359,0.38633143237621687,0.32853165063117745,0.35406642082694606,0.44470799743835815,0.5278455384966514,1.016981953549379,1.563720825138022,1.3793840846866572,0.5803747572146838,0.39518571096356153,0.39426790206974616,0.3754276506667287,0.413682714810138,0.40747077533359655,0.3883749851840222,0.38923581174599525,0.4478482408502294,0.46310675143400076,0.6472517208056844,0.586381567355085,0.8108688535828164,0.7776150501010999,0.7459946775020321,0.5786380767937301,0.47029245165947975,0.45237362165124817,0.403322793059925,0.3523610044803608,0.38834264981111233,0.42204412069169983,0.6367238722197676,0.42940110520501734,0.39976224169566593,0.45459855451227194,0.3754043009241472,0.4130590869202233,0.47972991530882675,0.5161000422976323,0.6847378863481326,0.7993585058221513,0.8850724402482171,1.8951547051479964,0.9493268303114261,1.0509492876055146,0.8774990674122705,0.7669276931720517,0.7176149910049036,0.5926251419917082,0.6416824257175009,0.6252420281965969,0.5372702839600151,0.5259345192156994,0.5620604684947647,0.42271932806208135,0.45928330532829814,0.4323385992823536,0.4381037048429148,0.4310144928293902,0.46888849038873226,0.5034499511998325,0.49481967749897027,0.5781526972033578,0.530837162122972,0.5575623954551523,0.637670578022012,0.7052104220625982,0.6105567098369523,0.7357720349337228,0.7149731439878588,0.8913432541656808,0.7710619931931569,0.6043006329336529,0.5887748581366177,0.6603410614499178,1.6455388822858608,1.0221821273416536,1.5200224915244178,0.8681363973766035,0.6354533716305647,0.736343647203615,0.6931265871448723,0.7559530638646027,0.5108006747153971,0.6077988109211764,0.6983993566568523,0.8772011377404899,0.6995022243839916,0.8998564924757297,0.9737874391864939,0.8781208082311251,1.0181973803217532,0.6104833551385951,0.5554568154864883,0.5270806814587378,0.5901119947165637,0.7548397183297806,0.8325028318085411,0.8625481697862931,0.6860066804686248,0.6237344544425921,0.7645805358056122,0.7367191849363363,0.6018797851622019,0.8107948381668719,0.9337172676014555,0.7184840167923725,0.7775592250700272,0.992226797230949,1.0557954154229465,0.7873328052219638,0.8253057008592587,0.7125472833091336,0.6758035631410633,0.578380007355099,0.5529951878573262,0.6184236957347451,0.52500581982131,0.5166342086620959,0.5231018294170067,0.5551597122724437,0.5037897028192825,0.5359303723453585,0.8011993932975147,0.683046406318399,0.7794061942647467,0.7953387506697328,1.0353475738768507,0.8973930829595963,0.8410427017716903,0.9833014433315068,1.051687104377868,1.1483723947980085,0.811998446619932,0.6664634799191067,0.5607210889422589,0.7896876092501148,0.7737399469490396,0.9168832601533734,0.8869133751710149,0.7017986808007703,0.5756008916604177,0.49673375070230597,0.4777280290910477,0.47139974996374145,0.6366672880151454,0.7368766629711739,1.607061281031648,0.46517780814825904,0.5831750009436113,0.6727953989792319,0.5613150488752315,0.44974323887190937,0.9714802347154702,0.7638364274156889,1.4106660362804864,1.8928900865338207,2.660389568898364],[0.5635489334077366,0.44629619901768847,0.43197020852035417,0.3771683075446076,0.48157608754358855,0.37905958121400385,0.33170834043927144,0.4001506663513616,0.38206222276830515,0.33439103969137496,0.35116796025462593,0.4364652694838394,0.3492048487057715,0.3707755919786689,0.447455377030107,0.40952137199038624,0.46394263457949864,0.4888927291388564,0.5779164208749786,0.5442538430122741,0.6288603556016878,0.6120873824344979,0.795874209388597,0.8294794622779231,0.7586728373768151,0.6865207849835642,0.5262023851120438,0.4524836924758196,0.4444832221883808,0.4404656989483519,0.5152001155098018,0.47705503999869314,0.6118602849822307,0.5277075038632453,0.46090495253852964,0.46667229182974973,0.44687309339047565,0.4467137785379661,0.43519321171230396,0.4692778736846638,0.5996729627405486,0.5742427406157106,0.562772990738835,0.7722751504481334,1.1652714262317725,1.4812508139146443,1.5775609801060908,1.0132279488624059,1.1204498619984602,1.2644497867073734,0.9910198944204098,2.585152224886316,1.4672101326784948,0.9635666554079059,1.514651118999171,0.6287334096574857,0.967198717515464,0.6103655199369615,0.9028823419128853,0.953752111220726,0.7000359411396488,0.8627662578664534,0.9529404894162571,0.9274159555223078,0.6800837435370309,0.6898094765375469,0.8723187429053929,0.6444374654064903,0.8226083079834066,0.658264355196332,0.8891901053809825,1.1730411135806655,0.8129089324584393,0.986069940315348,0.6227274181895779,1.105235736120262,0.6167568198381956,0.559812930557303,0.5119476002702139,0.5272682445051101,0.5257665274000823,0.602032996465606,1.101785633947705,0.5083474145787042,0.5612720169561275,0.4614331305380308,0.4764791676129789,0.584380911755888,0.48523724029349263,0.5102528693074716,0.5663553406144193,0.8051077235818899,0.6572112222787356,0.5802656051180067,0.512678686545258,0.6267446446061586,0.6141421182701409,0.5385989876167573,0.5175259004457708,0.8888858201478558,0.538269348970113,0.6396668787742559,0.45309173548037684,0.49050065947733473,0.47158989301520554,0.49077217158104924,0.6919465570960299,0.495939995620668,0.49164388967948597,0.6563176132073488,0.46980140341007115,0.38847124191181187,0.36095120185228763,0.3777325942725997,0.380153261312988,0.40859314620380877,0.4498742082730762,0.5086227310415806,0.7661229159463061,0.5668197571640636,0.5518565705790959,0.43927405070768105,0.47842165002983966,0.3954666608218903,0.3625575075543727,0.3688039626675166,0.4504023993603493,0.3759747268696252,0.39267881530063825,0.41620756634429507,0.43836087117936784,0.4714234344838317,0.4269789373060948,0.46869643154104906,0.41842425779430364,0.4162447607162386,0.5940929534361945,0.4755382837494956,0.5189784623520123,0.4590818175699295,0.7226288266100496,0.8315462208549649,0.5907968894565202,0.5269526308069807,0.4417497306033792,0.4305749817305334,0.3839306850290292,0.40346493390047766,0.3780286871895775,0.4167749979540054,0.5139263989723065,0.6077439069495907,1.0935641994538825,1.6529588607902415,1.4254502721606035,0.6566409356475454,0.4716871975359238,0.4724514830119849,0.43895549764635616,0.4401125958615969,0.4181484432262194,0.4134358738626357,0.38729744729561016,0.4508174556822636,0.4482933388494172,0.622992435088789,0.5537641932994508,0.7374245579544684,0.7162508675934699,0.6972067692077533,0.5414303717033839,0.45169247995675277,0.45159212370352597,0.40279794089925053,0.3816019686655457,0.4244249004733959,0.4609236848772632,0.674323178994642,0.4625688050560254,0.4500024970911571,0.4540193035239249,0.396595389176899,0.4168347482103248,0.45158659834133097,0.4934033146879288,0.6884334249519499,0.7867936059262078,0.8774040351835902,1.8544960212942911,0.9047801113801008,1.0529431077605522,0.8801170395572213,0.7342963463099306,0.6739896060550807,0.5500708406534713,0.5846718272663505,0.59765012613713,0.5026043918226006,0.5029126718474468,0.5462649598941639,0.4301271520398692,0.49273852735127643,0.4521220870676437,0.4373815584784826,0.46512086990134155,0.49744178994105687,0.5175132653527326,0.5180195429303862,0.6131620235858526,0.5644109066561892,0.5933658157437622,0.6530023610695552,0.7079679222121367,0.6470567871586975,0.7447152481240702,0.7309743248085633,0.8915028917372173,0.7763563774063991,0.6279280112944192,0.6079620150043517,0.6575099249092081,1.8156651044390142,1.0042172245421241,1.5431797520016195,0.9049367709826305,0.668112169053563,0.7188994581078102,0.7184507163998735,0.7157947260889169,0.5005131297899081,0.6048125537568882,0.6696700924885576,0.8280424297077387,0.6514166526018611,0.9070095510044928,0.8574972572115799,0.8177626463404372,0.9767915357439069,0.5713651078689255,0.5448817468878229,0.5492129854186757,0.6377187390737971,0.8109075187163379,0.8627008826956979,0.9284811513830984,0.7281718635171252,0.6643264878277562,0.8136838319983191,0.7650803590577119,0.6342736505145606,0.8294766805333541,0.936824342763906,0.7233555149207193,0.7870992031039511,1.001323427300335,1.0354616389760625,0.7938503708191008,0.8323068462485312,0.7360162587277931,0.7045504704043364,0.6219501632885576,0.612106905450177,0.6472678989754518,0.5625613814314091,0.561238917821293,0.5402285920792733,0.5725199582187034,0.49970057801469336,0.521910297396475,0.7713784053111169,0.66835713975477,0.7126253233444366,0.7317231248863382,0.9732791541496069,0.8428341204402217,0.7982221587413648,0.9124267952158934,1.0284216600768008,1.1366216340293576,0.8056424352498197,0.6686858734420141,0.5761362886944441,0.8007941646336829,0.73681479078865,0.8593058383555632,0.8424685096320308,0.6534650482812094,0.5381815315338608,0.4832674881637113,0.49512373027549833,0.4873010790521723,0.5920901983610425,0.7547765604970771,1.6498541143449295,0.4880609168006587,0.6385370923703788,0.7933640957104924,0.6366361256341045,0.50341504235618,1.0845443783883297,0.962139751274043,1.8100104223789384,2.3159679057943445,2.946810568927653],[0.5855045511389714,0.45084440906077494,0.44327222215947054,0.41073893092723845,0.5775268472027106,0.4273733497802072,0.44342903182969196,0.4793738268925299,0.5072341642486223,0.5630090907755494,0.5822058434373941,0.62424476147505,0.5990465462011058,0.6777586805893423,0.7022402933731635,0.6637293025038536,0.7674836287399056,0.8034303872485554,0.9551560656959329,0.9078303596873036,1.0097222436867421,1.0148899636326958,1.1612381185046896,1.1837389793797688,1.1282383199592017,1.0663005264758314,0.919953717263064,0.8350116971042995,0.7763349072332143,0.6951282352293957,0.7730433471731327,0.6759488703465898,0.7991638099754891,0.738584925078386,0.7029673806307372,0.7493053634691216,0.6903002079189046,0.7720425592218176,0.7847782098653703,0.80971177036576,0.9669897738932047,0.9184109647241163,0.9291416786391842,1.067405978031037,1.4303500362756916,1.7522208214669617,1.8776119173314771,1.2956313763509786,1.4036412739634019,1.541402309476743,1.2625935036828237,2.74396129291843,1.6645528956434161,1.2644996022185346,1.671413241181647,0.9710407468807047,1.2234951675866912,0.8949936443546691,1.0451969958288263,1.2137702474817404,1.0343682437016077,1.1287926013222636,1.1961699198755196,1.2737135746110018,1.059320343847581,1.0248557666501292,1.1812966189739975,0.938514970769407,1.0866055050244725,0.9450388501816823,1.1051549726254586,1.3296357109666497,1.0403805866069835,1.1888142916513953,0.9172125118439928,1.3470992483368311,0.9151677618463766,0.8401049946255262,0.7984194578035262,0.8281181687709642,0.7771148741922769,0.8778236434399052,1.1828370394716337,0.7427814891561534,0.7929752362012551,0.7248882265537616,0.7879472685307268,0.7992098741574951,0.7961126523306187,0.7559850579840756,0.8260708531005483,1.04386841517748,0.9020586246392018,0.8012640046444933,0.7411137285319269,0.8314490092130775,0.8046284376804164,0.7206601911107189,0.6831246816621044,1.0156392628011974,0.6932524282476914,0.7021085712797774,0.6014371055460408,0.5823644096176526,0.57868017252711,0.5779381631554448,0.7391393013341334,0.5971739902825801,0.5749016847667286,0.7221540741646693,0.5469350992865366,0.5441522259733543,0.5117112663355247,0.6262956205153255,0.6827322097521624,0.773695773474436,0.8217258109317849,0.9593484958629027,1.1917091532785111,0.9373244072195364,0.9573447881724423,0.8267079132419151,0.8809688823541427,0.748127148620204,0.6226262649174382,0.6198933620942145,0.5569229242489576,0.5408561613921877,0.529981863920131,0.5678703395124234,0.5898204726066254,0.5840475085277312,0.6169520988063805,0.6213864347832793,0.6241943728122201,0.6379451228133585,0.8000792169745347,0.7869079897458283,0.8605298860248164,0.8311355171362507,1.0970949473804876,1.270312121869621,0.9891887698484512,0.8700280505529131,0.8501308888799723,0.7838714970399244,0.7321217410860241,0.6668716733730226,0.5785933146090149,0.5491308424605924,0.5797009430865071,0.6785790269581066,1.1729929116219977,1.7621611369731478,1.5050330646935979,0.7756717110391359,0.5999892522293607,0.5617053237554986,0.5965641466409692,0.5843238708714825,0.6735616906154586,0.6871430658978558,0.7256835196693664,0.7442421768791977,0.7818047557757222,0.985333374281163,0.8718373980919348,1.0720351008212594,0.9952689700770568,0.989943362369933,0.818048543085723,0.7750214303938775,0.7363306231589845,0.6652112408876214,0.6268667165460774,0.6046264279546146,0.654187986528369,0.7844410060105687,0.6874510666731551,0.6285762581961137,0.7062241599175526,0.5845161000183942,0.6218338737606689,0.6916156760982873,0.741881385670372,0.9501722428018947,1.0571345632704965,1.1252235003763031,2.014147268499381,1.1652145664824267,1.296549619902909,1.0439804536391633,0.93666952499444,0.8832204896271867,0.7673691060625716,0.7880805710458746,0.7828449653248735,0.6352723178357532,0.599261301420024,0.5978523484739042,0.46365354234408707,0.5067311453189577,0.4759455116412287,0.4736559910287768,0.47300332263268746,0.5011154242426374,0.5352316311464819,0.5381133920487206,0.624104545927597,0.5650864505816742,0.5983212226859378,0.6826253665266736,0.7453676773168434,0.6420828933859345,0.7602881626597995,0.7385159340840547,0.9167520534429063,0.8079678864822817,0.6587975104545293,0.6518425850346005,0.716217122609106,1.7343028168021284,1.0529177345562282,1.5475007119058986,0.8737816800429125,0.6680315545928354,0.7588245196054272,0.7261859245050363,0.7620074781282766,0.5513311330903072,0.6558927100677431,0.7361883411550411,0.9016319449853388,0.7367086989281819,0.9439059435249052,0.985889345326625,0.9114249276915113,1.0429868186796185,0.6343446150175372,0.6099849161473095,0.6011478877191643,0.6580815849750409,0.814945414803304,0.8852460570043466,0.9153447654948681,0.735903700403761,0.6737012835570629,0.8319097881790448,0.7775907418199887,0.646833221925092,0.8537664883019401,0.9611187798371318,0.7491688997415362,0.8347865980983169,1.0658838792504803,1.0853221486529747,0.8622487419885984,0.9162926722205328,0.7855509325418304,0.7514664165650147,0.6409578502136745,0.6230922431984083,0.6949791379415918,0.5752250764609932,0.5595466744657325,0.5675293971329369,0.5977511496171141,0.5542459352097977,0.5698900276434198,0.8282872724482465,0.7205427145183917,0.8004094554657545,0.822877413385082,1.0682843175279164,0.9254425414465124,0.8697914612414629,1.0326411068750494,1.1025962840724144,1.1627447575184353,0.8479644565031105,0.696914782269096,0.5978791426384582,0.8473516382343315,0.8257553877611362,0.9619792764668826,0.9484427864137293,0.7322577225681718,0.6417107571047477,0.5768949865932543,0.5857167402856143,0.5050323155647328,0.6571379021822444,0.7793299812310791,1.6497085393060613,0.5183841898783955,0.6550966167922739,0.7579913042779476,0.644061985192219,0.5082159419799275,1.1303536344661798,0.9327644194692325,1.553704932077348,2.12072651271211,2.8500871475036393],[0.5868636593171933,0.503011015682159,0.4913677191570937,0.4214543867294734,0.5057267376389853,0.38500719043740617,0.3282401693617992,0.3977544633309576,0.37169912374680913,0.32263953800574496,0.355716172800301,0.44445580508067073,0.34136655371170127,0.37402204152450647,0.46530195906487504,0.4068969087619083,0.45430863161852164,0.5012405930276932,0.6080029696497677,0.5738406462971042,0.6640492172645727,0.6422091722100842,0.8446940652433936,0.8774908298691112,0.8052705515067609,0.7184614017970179,0.5361204345258034,0.4617292903292775,0.4430038783422673,0.4170242002547575,0.5405063490389794,0.473678415929527,0.6212545192887106,0.5487750992600101,0.4585624747458728,0.4760001740420574,0.43298548556964006,0.4340570039189309,0.41295857519996443,0.4471258086054726,0.596585329141881,0.5798161195288344,0.5695000255446816,0.7782689644610339,1.219053945293071,1.5371340494142738,1.658320041311887,1.0412917168331373,1.1322045253099915,1.308447942403798,1.003096797117787,2.510089984778156,1.4401828790272566,0.9417884629612603,1.5526055610110334,0.6180597442878323,0.9317843828954802,0.6332012717973973,0.9421108176900244,0.9556763791700347,0.7019422069339519,0.8734228776959514,0.9651496071652386,0.9584089061729988,0.7108492665006847,0.7129120873786053,0.8956419129262868,0.6647671298874281,0.8594436894207581,0.6970354367271241,0.9084344483706678,1.1957865158072667,0.8441982281273941,0.9942601038877682,0.6681811840880416,1.1810115680484061,0.6424730984204791,0.6028886631876472,0.5403972956080718,0.5452450006003441,0.512396410681952,0.5899254823108109,1.0645408323518004,0.4703485207146118,0.5379235968463123,0.4339628100380254,0.46011564912192315,0.5706795648814263,0.5047551466705966,0.5288625316136096,0.5921648611244215,0.8555025569396645,0.703694713330065,0.6209928956041754,0.543983522686578,0.6673143307961183,0.6406178246491137,0.5541229538260127,0.5157016918365929,0.9027588472826983,0.5432217704050831,0.6137678776631339,0.43066516537958366,0.4878317486797565,0.4829391468334349,0.4875828029376291,0.7517571751177554,0.48600010761067935,0.5023284068553949,0.6470042198286254,0.4927161547780082,0.37757191209644503,0.3343264677672382,0.36497827932883714,0.3593080933945572,0.40781669025025546,0.45915821732242795,0.5374167275679381,0.8117441432323402,0.6014130141477352,0.5981461255989925,0.4671820026632883,0.4866331454838612,0.38760452038733223,0.3355976044662893,0.3631391206488665,0.49976564391417805,0.3673110660013342,0.4118419408097414,0.4290992018139598,0.47395797483674296,0.5343540641791227,0.44504165832787407,0.492200430834983,0.4206770970372713,0.40746778775797443,0.610862124764984,0.466800552291026,0.4788847507621344,0.43417073854220467,0.7323532225227593,0.856840035216789,0.5986296512590948,0.5482667066927929,0.4519345469585232,0.40782326994022644,0.3694463073516301,0.38044515995282063,0.3400712779332493,0.3779559856719175,0.4985057789871507,0.5540135569354279,1.0952121234760666,1.6091165008680433,1.3773271425538143,0.6374439303742078,0.44888337367103487,0.45961408632543377,0.4063432775474351,0.44565642694148366,0.3870296277874312,0.3776207168879388,0.37181849030955855,0.41271457518666,0.45365926972374737,0.6311155620677933,0.5480327344834349,0.7660198910693068,0.7378938572924687,0.7168471184723861,0.5514328673302378,0.44581205242582295,0.43977107673002813,0.39515444155348184,0.3495267767730894,0.3940806960833557,0.4343801480449901,0.652575337432882,0.4254776705543547,0.4060397317242512,0.42861111321683754,0.38362680807755495,0.40796758159961327,0.44999605391258884,0.4915546728038046,0.662643532225711,0.7799662993679346,0.8341636052865913,1.906430469367713,0.8908384052652613,1.014622623704362,0.8352674669311903,0.7176691088720872,0.6647690085134755,0.5577888254981509,0.606112026356685,0.6022025319814716,0.5607839913708641,0.5796948405600164,0.6327215127321509,0.5228954841277486,0.5566354868499731,0.5162582374747006,0.5494730787159215,0.5581463420592492,0.5746332759288864,0.6128234315426865,0.6351006752121048,0.6918324658175486,0.6383745881318568,0.6728495451103064,0.7343937633010043,0.7814663716789394,0.6960556990962157,0.8023691825478627,0.8103495873877722,0.9759545303977842,0.9229417045089793,0.7511401388163532,0.7308103636483759,0.8198335066835593,1.7322679222714419,1.1339832053080188,1.601711435335147,0.8160950346521852,0.7114833070230262,0.8611303915887252,0.8237139561532074,0.8700612032332002,0.6139461088517237,0.6980264728494081,0.7474663976175521,0.9250879952381333,0.7579547781228491,0.9240321289717823,1.0269804415888257,0.9366574478069606,1.0378121784627343,0.6869798954477249,0.5994311067974877,0.5743263374695016,0.6707731141067577,0.7926080651425856,0.952076578717616,0.8758309162704608,0.738028040828721,0.7250670403955556,0.8382469826263361,0.7904365772345354,0.6978204898026907,0.8938902732556547,0.9875671318883036,0.7966202518536251,0.8896712793448673,1.0966004052165361,1.1094675421866256,0.9053895670980633,0.9629938900541383,0.8435580615052526,0.8212246479503013,0.7066331257535268,0.6875802537811593,0.7783516601661327,0.6562895996578048,0.6362331517863993,0.6443955635890447,0.6702057364501613,0.6242564563231874,0.6509731078875642,0.883250594428747,0.8094202011056997,0.8887072037453216,0.9003793808794242,1.1362188802456616,0.9862701634154332,0.9472736612713452,1.1009208759426599,1.1458732318317426,1.3278621821268464,0.955045836801903,0.8017892227807082,0.6909582912506516,0.9168638615398921,0.8990605813815972,1.0270531169675279,0.9632032745270419,0.7972805193485565,0.6439500257825809,0.5480429916315994,0.5181988424029236,0.5681911037498428,0.6694678903978072,0.7804777511337926,1.5611177028264447,0.4859957822740353,0.6598124031829227,0.6720400955878487,0.619612579387618,0.5044145641580663,1.0945916684440844,0.7807166675766081,1.2096068157333832,1.8981328115315739,2.817659300641903],[0.47109101135236225,0.4122882127672027,0.4672420512896783,0.38882274322368554,0.49371698726853686,0.3579868176213958,0.34688919135520063,0.3826490900896451,0.41035447804540387,0.4036854275471469,0.42692610367495837,0.4806295368012812,0.4222481775681009,0.4758089557289606,0.5430671798915434,0.48659977573439595,0.5483985457090507,0.6062785103003298,0.7193057593960183,0.6720574323428385,0.7772796129979008,0.7373761061728791,0.9320914227972608,0.9701888592981818,0.9157225754708239,0.8241237408232988,0.6300571162531035,0.5599847897548406,0.5494474550656853,0.49888083268848493,0.6118002859542049,0.5190875132796503,0.6560957414328422,0.601065387633315,0.5366636657403642,0.570549977954094,0.5011471339596308,0.4993706531830821,0.4896739577429612,0.5333576564399751,0.6538820520798314,0.6504050246415994,0.6410778627847367,0.8608809602862098,1.2753814361262201,1.5800523507479274,1.7367329475238742,1.100119274835577,1.189921411983933,1.3627233535125858,1.1060095143512954,2.535455139115079,1.4985571917845661,1.0107174452953223,1.565828316127482,0.6812230058472332,0.994880770042583,0.6941889458629908,0.9229593469198466,1.0620155737327899,0.7999052850619096,0.9637129882530822,1.0713441440525644,1.0679056723699043,0.7939351117284174,0.8192767317106305,1.0063069906016795,0.7759119316089459,0.9553802147948413,0.7855987089646643,1.0009226487987628,1.2654634782470902,0.937437408960958,1.0968584703465607,0.7532156224091063,1.2190061020365688,0.7493118733624994,0.671168080501311,0.6401790986126576,0.6426335226765297,0.5686008781245279,0.6187432240169203,1.089159858681479,0.5214232927434899,0.5799998521681985,0.5099149856516483,0.5207958435226518,0.6333294553866554,0.5999795402815461,0.6008855601056124,0.672436380099575,0.9024845601723719,0.7500639413215859,0.6688681554948279,0.603292896786975,0.7283052383977442,0.7161595332340231,0.6095006643968474,0.5495789966671917,0.908635183843717,0.5458377701538194,0.6130547958557473,0.45044260032163635,0.4662999176648524,0.49028402051420245,0.48824898360420504,0.6966775269422626,0.5066582953445877,0.5019442485192381,0.6161229062023724,0.47413426176138296,0.4066107284343352,0.36394542740760477,0.4387193932099188,0.44954722459184365,0.501633690191307,0.5541855677413341,0.6367479803431048,0.8920272086217632,0.6847981558908743,0.6860053787198854,0.5742602062590462,0.5837681903501158,0.48078650391773686,0.41617076640109785,0.41718344951303993,0.47517494852793024,0.39355740292148,0.42575572261411765,0.44732606545583803,0.5117051266940422,0.5536212759949758,0.5132528743015072,0.5053945576881391,0.48365753569390163,0.46766551753553726,0.6427277811063907,0.5390273356258405,0.5382424557848149,0.49756653482590085,0.7593999091438762,0.9294217888227271,0.7146228457950342,0.6264388032934426,0.5362509840750188,0.4913185360289658,0.4523137520143633,0.45074280560162333,0.39980640611833757,0.406587734451627,0.4674197213602417,0.5355548258850289,1.0402930709350293,1.5750892112457375,1.4085550920212306,0.6316678644582655,0.44832307975311525,0.4280009702160909,0.4271430363286167,0.47404255814772644,0.4732182652521231,0.4573535780695258,0.4520750721437373,0.5341162239191406,0.5259933143302116,0.6918079450369202,0.6099111567363725,0.8319467188367413,0.8000972528487542,0.7673688954419788,0.6055118132124265,0.5097361518002355,0.49303457116078886,0.45505516684440395,0.4138864615094563,0.4382291203217086,0.47103435410207883,0.6515086365986867,0.48612514698344084,0.4394282123021502,0.48158879439249647,0.4366525276859485,0.47056097615281833,0.5358034424120727,0.5691021501715561,0.7112259963959823,0.8185708543115199,0.9205886333862674,1.8964868540767832,0.983621939301093,1.0762380055292233,0.9254890761504465,0.8232854838853033,0.7735899934642764,0.6337664597027101,0.6794880880959849,0.6569358205847164,0.5932990561543522,0.5895937649461259,0.6160014246030646,0.4949604438887139,0.5138256229555244,0.4801567584446353,0.5186901742355924,0.5121762430232276,0.525210995174055,0.5828065486148005,0.6041943825475464,0.6585646941989225,0.6107072006608072,0.6480527433733005,0.7319228600600384,0.7776627392629094,0.6856866788669549,0.8239335576240411,0.8044734440999436,0.9919528964765163,0.919436114329241,0.7343877167179168,0.7255770909211732,0.7950183585055641,1.627595028014402,1.1237548398756103,1.6013226448754336,0.8384503929028424,0.6951694802168418,0.8273918428320488,0.7764546836106848,0.8966607151066731,0.6129607816396582,0.6917031729915218,0.7816947523585536,0.9633618892981393,0.7772914779202861,0.9386997379575001,1.0860698674172127,0.9670443521311459,1.0642481284550935,0.6891986451253929,0.6152815268676822,0.546269340636635,0.6229689836601856,0.7430190905239721,0.9089437192898224,0.8409804461002622,0.6951130408964368,0.6648789168027571,0.7805248557163524,0.7409580706156091,0.6463888502917715,0.8469763112457205,0.9583160297022466,0.7659450916457401,0.8526120921962441,1.0624228161869569,1.1198865714990296,0.8771585170885434,0.9282572031744535,0.821164702598671,0.7846595454553241,0.662159291004252,0.643511725416464,0.7434484077128173,0.6237787342187492,0.6084774351431367,0.6387522988278292,0.6679953312332333,0.6160368055356547,0.6539907753547909,0.9361896037179711,0.8229669908807216,0.9143983496423065,0.9379291939256675,1.1539081359656709,1.0099220137436133,0.9554021989991317,1.151205378732852,1.1531190238513023,1.3190611493371749,0.9401896027806292,0.7758170907424813,0.6699269302714811,0.8801080744343174,0.8865398068315915,1.0353981596746762,0.97021302796115,0.7886820915098385,0.6426949690523213,0.5435056685785772,0.5076591977818357,0.5106274067591798,0.6968073144837598,0.7660170996722268,1.567077211199471,0.504021251169256,0.6133358186198061,0.6271222315604592,0.569616997867784,0.46201063001195997,0.9501505604235326,0.7183224918489751,1.1233703720838217,1.8392091677001565,2.7800148144432133],[0.489391708293192,0.450391355972745,0.4936019949393424,0.4279719928945811,0.4889237719359598,0.4306630208507352,0.38204650645293003,0.42511609722970567,0.42621466629290744,0.3493122409619198,0.3760994099291733,0.4578425803393391,0.3491732266769361,0.3528565633866154,0.41372097639990296,0.37996599505610473,0.4112853731172027,0.43027558825530754,0.5062776733108911,0.486282953016828,0.565679843268757,0.5447043701329741,0.7529937594034215,0.8028123703365727,0.7850598905988387,0.6507904505766614,0.4789805935127822,0.39180729977245854,0.38300267156081436,0.390255042621146,0.4537362949093912,0.4467659373606417,0.5426965835689938,0.4705373794138253,0.4132461663434643,0.422617242888825,0.39637023255573633,0.3758648450677949,0.365854981576288,0.41207786448920875,0.5723826255834588,0.5335005291432598,0.5082892645615437,0.7616461714174423,1.2206703310756701,1.5526989567468337,1.6710147720495394,1.014818489171078,1.0982557614454058,1.2879324004250605,1.005797389610667,2.4076715757841693,1.4158076472953358,0.8820169983368102,1.6283275280532572,0.5562087358559382,0.8329434559000605,0.6916780012074931,1.0189723784249767,0.9162204867501276,0.6122492174203292,0.8015481943158841,0.8838053616482573,0.8078617266332693,0.5957766656722043,0.6270410086278915,0.8012319099910538,0.567080998474223,0.7679689523736979,0.5998227912662311,0.8730038946077213,1.1485159730818233,0.7860880905138274,0.9360193935369059,0.5621776039360646,1.0404795601116845,0.5395529393643703,0.48385709795488097,0.4526687439663587,0.4535335277115323,0.47289698131762753,0.5257823757155374,1.0873815833761975,0.46913313843593135,0.5412834600501165,0.4339428770649095,0.4007450858197442,0.5217646133066384,0.41392413415108076,0.48563915908328187,0.5014495217300727,0.7265784855589329,0.5877865656022744,0.5195794479810373,0.4676654468988854,0.5901952441050832,0.592059561249549,0.5239769018775832,0.5038380257042147,0.8450143995688519,0.5378333684090623,0.6589110757656274,0.4539055124532236,0.5338006072775318,0.5549489382591803,0.5364861107429648,0.7896303309355516,0.5468655297641074,0.5512013117787337,0.6427634413440527,0.5323235463418446,0.4288626313631274,0.3838825990707178,0.4014607692086241,0.3788801231614286,0.3950184065973826,0.4370892409151971,0.4926309413498232,0.7107335972443335,0.5291074253112399,0.5343958979014436,0.431899475325801,0.48462466329914383,0.3798420462412152,0.36575058143580824,0.4193321590874406,0.5267947393246523,0.42686773657029164,0.47418310957056586,0.4829239428546537,0.5334625267893197,0.5943675568051877,0.5192843127300039,0.5459444410570595,0.49177129659487545,0.4690369587221403,0.6597879873917597,0.5058334350979228,0.4918484824878388,0.43544366014010377,0.7142312817686832,0.8054346909716799,0.5482492892600225,0.5268487717120586,0.4328682688316086,0.3638736253031931,0.3495197645325804,0.3844225936020544,0.3823172188244915,0.4264351553143902,0.5314634396544394,0.5583897088325771,1.0384884573046442,1.474410715305582,1.2968115352860743,0.6183623455278463,0.4609813946496998,0.48403787084691996,0.4224978494307689,0.49223111632368427,0.42095749031961016,0.3976967063079473,0.38349903135704017,0.4366305271352846,0.455585705512673,0.6654039971087273,0.5861714693195043,0.79534541369812,0.7883007436798043,0.7542937148798119,0.5663772203477628,0.4797119897451653,0.4611286012095189,0.4373224127365459,0.4027659549327894,0.4402390678251439,0.449194539836234,0.6875491918877241,0.43170534224488655,0.45583045543729384,0.44954701453194706,0.4591516555950736,0.4753261443907905,0.5188018955359371,0.5315930262932363,0.6340162755247681,0.7525160509995505,0.841220562949003,1.93564011239698,0.9283686975495019,0.9818599635282415,0.8665366251615046,0.7686226640511709,0.7350650062264409,0.6176221387902943,0.6800720042702073,0.6440273799456219,0.5938023858014644,0.5974618458600706,0.6449707330672503,0.5386753864882484,0.5756426696402773,0.5337308235453839,0.5626571338372302,0.5735891973245274,0.5962001087329617,0.6175008280792851,0.6242950672159494,0.7145890912583006,0.6519697321766097,0.662163400713035,0.7511965562103328,0.8128345480004152,0.6840047077190161,0.8000050200917266,0.7648081795684087,0.9686952782022785,0.8820467040384027,0.7203443052928356,0.7211601349299348,0.8207908745247019,1.6027994721527203,1.178767474861086,1.6038163885805945,0.8769119396852715,0.7081352405597902,0.8561357788929274,0.783583296217695,0.8947672115848607,0.6472193514832779,0.7578412379136084,0.8019003131730316,1.00747786676983,0.8361005913202653,0.9463877390927322,1.0905665414010137,0.9568876569654826,1.04393780684043,0.7136833952758261,0.6411556331375845,0.5892102025144934,0.6696855116317776,0.7750489811552035,0.9736325426785009,0.8554489585507843,0.7518259124204318,0.7412731133001922,0.8641121513440138,0.8064972011320319,0.7219547324720431,0.9170975553458193,1.0262146050174743,0.8358229012155366,0.9203338743204138,1.1235403913822233,1.188676935695389,0.9268450512898657,0.9750151098889088,0.8588328501273423,0.8319560690845587,0.7287559873302349,0.6878221842786998,0.7638241584046488,0.6542624099062988,0.6584117734692575,0.6546110875369212,0.6706406734266734,0.6312681524360015,0.6602656573036662,0.9030371487386148,0.7910076236204866,0.8875613618272207,0.903311547128158,1.1309936812784462,0.9828087287363506,0.9404253657306954,1.1036806831155006,1.1330562446675023,1.2852905076631167,0.9316000866709608,0.7798986728190408,0.6879694317109588,0.9153397381844405,0.9199847323326555,1.0348749402375856,0.9760590927191166,0.8138989087793997,0.6570612273033906,0.5660439088372222,0.5382042081580927,0.5854317803148815,0.7763078264300249,0.8231059672415475,1.5230675754731844,0.5753202017797404,0.6785124483994037,0.6136173947026152,0.5799303978443993,0.5018360704675915,0.9483567506499619,0.7750528501599406,0.9947265572428572,2.0155875486072055,2.984467575517652],[0.41558332062930353,0.37748034964790417,0.448325734792738,0.34361042820847454,0.49518402462027794,0.35982365225324936,0.3247129899876581,0.3407567827351339,0.37844357600024464,0.3085101490727931,0.333031119445155,0.41224358075817047,0.31789369847165294,0.35134512471659096,0.3926650740923382,0.36792234885249825,0.42433602358040806,0.4509472357604384,0.5458490849893715,0.5344429745754106,0.617238905208521,0.6053207171383336,0.8136632134230918,0.8522228333439309,0.8420667886243328,0.6947910125562,0.5302651964650855,0.4465597787964311,0.4236971936905724,0.3800272539380052,0.44918076269375873,0.40628170984200634,0.4837501164884108,0.4487319026153538,0.3972470320185962,0.44266260453807615,0.3851771325677352,0.42664392012372093,0.41072578664622095,0.4534619959346255,0.604660522543541,0.5917802699125858,0.587828061330664,0.8187080909474327,1.3078703119103974,1.5963210674044224,1.758088954852681,1.0942028158046204,1.134519832321082,1.3593740975197524,1.0726117496201955,2.337525372157005,1.369197747885922,0.9256891181919299,1.6903648902508353,0.6251350186042535,0.8344343988588693,0.8229590715515789,1.0637490859625838,0.9876353182018898,0.6782809360873862,0.7713182605884435,0.8427485269205492,0.8102864400645357,0.6524548297742139,0.6544230230840556,0.8175604984982314,0.5871885309245659,0.7926422907615802,0.6042762003132108,0.881878884744442,1.0969067632935812,0.7750343961093428,0.9725665200972308,0.557199398444289,1.0192479028847325,0.5528173566154164,0.48968872354409354,0.46683771933563484,0.5107056861042567,0.4705121870916228,0.5234542000044217,1.0322296451438653,0.46860774699135654,0.5719848175930968,0.4381455439116622,0.4411178890423693,0.5324163679022356,0.45933794161782576,0.4823837954392027,0.49913509011754725,0.7620463330099541,0.6087933620338182,0.5040334619316346,0.4533769313397677,0.5847513350056167,0.5776882354933138,0.4719091816733623,0.41362780045015,0.7306945932363297,0.4109580830484782,0.5587603000559093,0.36028506282173495,0.43167592486435746,0.5179373686323654,0.47124865045499786,0.6720246022779346,0.4916292630095663,0.47535829530511686,0.5893665018622255,0.43071043694975103,0.39234427748723016,0.3273491946886104,0.3786659602939156,0.3689671429821454,0.4264118558049008,0.4851586237717448,0.5404093618000806,0.763662331649489,0.5592713982753361,0.5743296760937426,0.46781741989875253,0.5126172497057894,0.39555544819432437,0.33929541181997647,0.40529013528185215,0.4662148835589489,0.38045660183660174,0.43930216110514847,0.4732555595603728,0.5416259306926722,0.5811413466254898,0.5251703691613963,0.5276676685548288,0.49912185352092214,0.4703624219801536,0.6539086665851446,0.5381813329514197,0.4912981024330452,0.45965978411786196,0.7315858226107176,0.8549392133042774,0.603301901655043,0.5929987569199071,0.48949402188244473,0.3861640968310132,0.37728759501015385,0.3895638878484402,0.3412012370972214,0.35795159627937206,0.44569629991737686,0.47151249164465875,0.9128849263615142,1.4155967080462852,1.3158884701422122,0.5134477390521515,0.35280367795020573,0.3763814133490986,0.3397775255946872,0.43421113036697967,0.43695869986649966,0.406547319310983,0.4240512077110906,0.48945954482496834,0.5030686327889794,0.6783056724000657,0.6174414210860514,0.8386991321761768,0.8218518831860784,0.7757228844908416,0.6052425780474031,0.5014109038045442,0.4813532715635074,0.44713606137198925,0.38819463218552785,0.40635745597250916,0.410186852615283,0.6161362377934411,0.4334486972376731,0.4289550772889787,0.47435982809616567,0.4406879326873543,0.4804842344397605,0.5547750969048536,0.560261056800274,0.6631217902236227,0.7819470334125488,0.8785093396185673,1.9166663346129957,0.9833736815724161,1.0391111453392035,0.9036825035272342,0.8166286380992316,0.785912783147501,0.6591888847657456,0.7184049023988627,0.6770113399956297,0.6170379083507378,0.5932253447664271,0.630899991746625,0.4754124726928623,0.49640415889669687,0.4788337753522827,0.49114150922468575,0.4669365857393738,0.5014745868536231,0.5302070495166469,0.5295284315561878,0.5928751190169579,0.560834882153495,0.577440475824169,0.6707850569332989,0.746314596343608,0.6465005799450748,0.7836749130812984,0.7400967610305564,0.933098242042357,0.7815385984100921,0.6318662044946008,0.6153765226696107,0.6992106444067495,1.52321403023386,1.0519374688217593,1.4799244021335651,0.9061939897129846,0.639837490971062,0.761104507621237,0.6903476098170978,0.8302380249083167,0.5709126017659278,0.6503988701163557,0.7692378185964632,0.9520952906896513,0.7750044454654965,0.9198413047787323,1.0821965941718636,0.9384486440359003,1.060715110241002,0.6731208660507677,0.6250209819917808,0.5562868826891161,0.5916535629592938,0.7248590258142789,0.830458824337006,0.826634877898917,0.6768413705961811,0.6101392028131976,0.7392886422275273,0.7263361500256079,0.6128643020128862,0.7875400493807038,0.9195639192145469,0.7344145686159844,0.784015981283064,0.9791846099008139,1.0989296946173428,0.819431033299258,0.8472774594502904,0.7321761806916597,0.6861484910178564,0.5840693730943066,0.5495277785602731,0.6328903806189522,0.5443325602753428,0.5315765726429026,0.5595045017123452,0.5881850324737832,0.5441476778723295,0.5853122996699376,0.8455667057475378,0.7111159422382298,0.8471470439227216,0.8538523602206254,1.0807952622326065,0.9405844646240914,0.8763458193146075,1.0402941164197335,1.072354972675521,1.161889646640394,0.822189945731412,0.6884251968533875,0.5934896609603971,0.7893383961890285,0.8146974706208463,0.960934392947887,0.9247560885364869,0.7532030094551957,0.6325846497667306,0.55508989732011,0.5204233535287119,0.5208664228987968,0.7423688556863849,0.7445955929764246,1.5659939111566121,0.568458810504896,0.5676632803134721,0.5760071816699505,0.48190417406935254,0.4345765088148361,0.8442606772416152,0.7007448469928019,1.0700481607093082,1.7185040924203994,2.545468666217367],[0.5306034971563138,0.46584827834572373,0.5738094411391994,0.3808467662326107,0.5075334999343313,0.41813061336475427,0.37910640367640497,0.3960223905506859,0.4129176536643442,0.33772954448359827,0.35201062360896995,0.4481886593776081,0.3349678338244856,0.35149187985922997,0.39766759647361427,0.37605540245307323,0.41888294666318315,0.44695185391269,0.5413965038713839,0.5251835013142796,0.6133754053368876,0.5976597872614876,0.8089949049103203,0.8520416801552189,0.848012605412396,0.6880016068844841,0.5161695128476171,0.44453036574890803,0.41390417757120845,0.37866376785366834,0.4424448603865564,0.41220305899016846,0.47954232684344705,0.43803881562115454,0.39789788851208474,0.4395053240430097,0.3889449479644993,0.4307461538452755,0.40402528052952297,0.4517557991332007,0.598226453066078,0.572161304586405,0.5675223670763537,0.8042460500619082,1.326988776281085,1.6227464804423377,1.7888678782764271,1.0899484572733964,1.1177767061769694,1.3627244395479268,1.0794073415229326,2.2852815850088497,1.3611203125147424,0.91985388401894,1.7285341309083857,0.630341895293013,0.8034212819879373,0.8612038629163526,1.0937599635829651,0.9843932889422482,0.658929402478127,0.7451761127559122,0.8225630226676613,0.7935379628130262,0.6405255626062232,0.6343401969165519,0.8167861776284063,0.5848486824102587,0.7950488528457175,0.6191928745047304,0.8918268403933932,1.096387981383845,0.7873536394733033,0.9820244790845536,0.5584931531065084,1.0051234245516025,0.5477707681708011,0.48581201407176944,0.4633182938269447,0.4990143657869987,0.466828921890964,0.5139677948517104,1.0330587837781142,0.48897819937235004,0.5652595925099226,0.4408671918646024,0.4328869165427151,0.5293591238463337,0.4489479536463458,0.47171439464804665,0.49163823947657853,0.7519248031276253,0.5940588339354542,0.49862313313261764,0.45294490382841773,0.5786067901058332,0.5833212483052453,0.4823599366576635,0.4356193439908306,0.7521856740607701,0.4341893739087752,0.5864134909808262,0.39584302422552736,0.4823160870339208,0.573894874852491,0.5151779501474762,0.7550330976676167,0.5765276311530607,0.5647319771645412,0.6259862695728261,0.5071185091085402,0.4250275897208502,0.36609539232399996,0.40493484453479406,0.3789008714676911,0.42628939103231334,0.48982533257416905,0.5411554515500435,0.7546962715826223,0.5560841883438369,0.5734001235674929,0.4715231313925891,0.5110773084879235,0.3998103895688107,0.3681557910528872,0.44126861592944927,0.5193201371106742,0.4345853741279907,0.5029740364537446,0.5124688081940539,0.6091045463711099,0.6577385702025719,0.5874588751908421,0.5625586737476914,0.5412257200375371,0.5021391374133954,0.6987076400173893,0.5689172143799319,0.5073161430001192,0.47357202418640404,0.7346746739033196,0.868894269601702,0.6021945493230165,0.5936063723917788,0.49181580985657175,0.38717374611424743,0.38557148413932474,0.4078474485809835,0.3641927036757034,0.38632548476957573,0.4914526481739139,0.5043485124707802,0.9715853312042507,1.3941551259705585,1.2677759781536362,0.544430602947705,0.3879385478678537,0.41887348509420536,0.36195838101153177,0.47707042979566916,0.44526242867990157,0.42172485129693565,0.4551705635201036,0.5005112715067627,0.5284703986975553,0.713797888522931,0.6566812576920982,0.8784872267210332,0.8765940702823725,0.8195472662547285,0.640838187683102,0.5284262384132712,0.502593464761289,0.4673744806936826,0.4185916033971253,0.4396482196830513,0.42704232948176196,0.6530275168103302,0.4513521763991032,0.46758164978051864,0.49407596878897037,0.486917134576261,0.5281527156264961,0.5964348429874549,0.5862201644787153,0.6519541898565748,0.7698254668459594,0.8953903668341548,1.9337802879420025,1.0189913480664048,1.054566114097641,0.9034793771786387,0.8526082489128488,0.8259983155489329,0.7117718884338101,0.7836844610338431,0.7355494152345264,0.6975590705002104,0.6842512355762268,0.7063276173623715,0.5912916168836506,0.5991208808833606,0.5763871544047637,0.6061791422007085,0.6001972239874631,0.6165928880709808,0.6172423719758197,0.6500618598863643,0.7128628907555988,0.6664029732423882,0.6792752195518764,0.7942772207572244,0.8685111388908056,0.7379344015025066,0.8606107010432915,0.7961395826184098,1.0474986897305074,0.8906008136033253,0.7634803123689383,0.7535332562003979,0.8616861237973099,1.4933383230992232,1.189022173630731,1.505287695029481,0.9704834825647656,0.7462832261537223,0.8588113950637802,0.7811057818832003,0.9496059535453438,0.7028076274129238,0.7652975416316072,0.8909703920103618,1.0788165961890528,0.9070802741025802,1.004236726477234,1.2376254070774537,1.0480565133830213,1.1340305816306535,0.792468676829496,0.7054719005368345,0.6429301119334515,0.6586545446127658,0.7488283151941628,0.9097385794023097,0.8364752973050854,0.7263600071967303,0.716573741999781,0.822142483012809,0.8048640002321334,0.7243436605082492,0.8870211754172845,1.0060980716727592,0.8410360572970432,0.909795151405988,1.0958235069565767,1.2095451845980651,0.9522065222605937,0.9961258039358948,0.8653986640824605,0.8285138094733171,0.7253737560675819,0.6907421970539928,0.7835676044562011,0.6789870774437436,0.6744614169395422,0.7033856844486697,0.7134747447535726,0.6742936145511067,0.7283356750167955,0.9395794285748824,0.8315655025745865,0.9877884173435019,1.0060762648010162,1.2230417498691448,1.0676255334764484,1.0015293100887457,1.1869379495554984,1.177598998340982,1.2742392936908464,0.9274892444524159,0.7989021766997213,0.7067926461218701,0.882569979236171,0.9356419378594515,1.0676228381091144,1.0060136731125917,0.8432096440552422,0.7120855434565145,0.6343545389465793,0.5678493072789107,0.6401735439666916,0.878961620273493,0.8411343323177688,1.5289928861870299,0.6982934133497585,0.691237000218254,0.6059333473110176,0.5118837270029356,0.4907557505866127,0.8684200808549184,0.9150071840901823,1.0077791529383529,2.1630148632365875,3.1082380632835194],[0.6116009114077923,0.540729832155594,0.6310533482257586,0.4261853291242158,0.526925906034547,0.4715238803833942,0.4066854585735323,0.4204115176572132,0.4205681198911862,0.35120308246617776,0.3677857509540183,0.4618340842540996,0.34978275040559376,0.3484435148583066,0.3912313570731183,0.3693134758845569,0.4107978901013376,0.4414636470385942,0.5219783344030899,0.5114867692350674,0.5847648756766524,0.5762737249381591,0.7847085918364588,0.821410635654548,0.8394345434161578,0.6678930281239739,0.5109956190018465,0.44097773463009726,0.3918905829801061,0.38360188983936083,0.4370410883778608,0.427253479022309,0.4844927746247048,0.42994967287032326,0.38576059398197937,0.4368057877302654,0.3896980963448572,0.43491613246124905,0.411267566467559,0.46358950141204114,0.6304916003072304,0.5668413674589441,0.5556123798809955,0.7985782914855009,1.3425865606706306,1.6542194992412937,1.8092037811654245,1.091188887890319,1.1253502056296527,1.3696507573555077,1.073944569538122,2.253479105528199,1.3596936721786899,0.9310859921170894,1.7760782430485942,0.6495337286472874,0.7832053953037817,0.8903562605459939,1.1461187278303753,0.951644778516768,0.6233924148327776,0.7217625980824071,0.8060603220604053,0.7646270479470553,0.6017929658942048,0.6040294932390647,0.7890938550225345,0.5581942829284479,0.769782568529636,0.6084190659996559,0.8852326780089351,1.1063905119420168,0.7884775292039997,0.9533908673859864,0.5642384539482528,1.0117340934963774,0.5355762674348744,0.474787899774354,0.4512829635312639,0.49396759990400313,0.4723378283524793,0.5249919014719803,1.0547947632446408,0.47864737456835305,0.5495691276663152,0.438522579150381,0.42688967704835334,0.5253278708724703,0.4456258002644573,0.4700697622368798,0.4826402140500527,0.7262502882603842,0.5741702686808215,0.4792077206286642,0.43799530582153223,0.565864970597842,0.5798457030196114,0.48347443870137513,0.46511859246777304,0.8114181166179186,0.4954881991856915,0.6442696346733571,0.4306876656794101,0.545961989775685,0.605475605692296,0.5680094635517237,0.7827095684350261,0.6478621119643183,0.6368857136746439,0.6427320611080043,0.5810585312965045,0.46590759478652827,0.4018228181890809,0.437627573044794,0.3851082518165043,0.42105622508871154,0.48467421144541967,0.5305523095873586,0.7397079007418165,0.5431818710256979,0.560260127233811,0.4628608658879472,0.5046422853737762,0.396069864340741,0.38556485643890326,0.47284196348259727,0.5658672332528173,0.4737819288636498,0.5629853942347471,0.5600910629677357,0.6549973387167132,0.7115545207553062,0.629240260683359,0.6061452578894712,0.5706344252099146,0.5185081550553886,0.7377153758360528,0.5900352588718031,0.5262151970629911,0.4733528420475322,0.7307616250849945,0.8508078009210612,0.5724833891754227,0.5896835361226307,0.5248810731679622,0.4078545225903231,0.40545082046470055,0.4217620831760234,0.38746843749554954,0.4269677437381936,0.5149368085396876,0.5291164894247383,0.9888161893279361,1.3730169134182968,1.2481011387505485,0.5718078160384007,0.44239938420692765,0.46848690232068135,0.40633241550805255,0.5031483675762436,0.4594411964103912,0.4047494760621923,0.4482611176802534,0.4734779308325273,0.5414936685820082,0.7390124720756392,0.6637662713794552,0.8676503091470493,0.8620490403735322,0.8180799331706694,0.6572390979300021,0.543308415036738,0.5344329283895662,0.48670460108659186,0.4339781294594,0.4617976622290035,0.4171683460026042,0.6644288366516008,0.44044724982226086,0.4886393906162688,0.498999700017578,0.5222170400472121,0.564463036801622,0.6049626248867103,0.5945991491625265,0.6501472616547385,0.7781442663148639,0.9021598531920788,1.996902070241886,1.0302609047381528,1.0300235072580208,0.8980262498161145,0.8431211420573668,0.8177563655376362,0.7433933256384014,0.8361122844313865,0.7722913373398399,0.7519511691000198,0.7566192850917839,0.7486553179167619,0.683355335247401,0.6694040402617594,0.6309878949987691,0.6914186604839232,0.6869084481092639,0.6813406281933435,0.6846165571275866,0.7375099536503147,0.7956259256532616,0.7345455310003524,0.7484525482549004,0.858315334219563,0.9207392529771221,0.7804298232242621,0.9036413219277128,0.8438875734419753,1.1086238207594252,0.982403866583695,0.8530769187449108,0.8572424319538829,0.9582824868816172,1.507275496052448,1.3095451720498432,1.6177594250921532,1.0133793933017337,0.8691811570405862,0.988098231117404,0.90707638958015,1.0898160475408998,0.8181184516145014,0.8675300957004551,0.9736645720428064,1.141475904269435,0.9835885900455688,1.0665447836122455,1.3099398158861664,1.0994436541182993,1.168816078583277,0.8686607294650937,0.771815506850148,0.7262680666607151,0.7387082328575334,0.801145378954399,1.006654667283848,0.8755734986652407,0.7992659325390805,0.8061617637890578,0.8987757626482432,0.8470071769669277,0.8072502481065087,0.9616063066109338,1.07573117104371,0.904581436053486,0.9928266625664394,1.1762842358033077,1.2757247960646234,1.0347255494425975,1.0919614810970284,0.9557988709157038,0.9310930979780409,0.8302746081841136,0.8095223849114002,0.908621312158929,0.7775654488919466,0.7763511720528222,0.8263201516152433,0.8305431448340928,0.7986916232006358,0.8489273667152603,1.0446846751721046,0.9413280349794535,1.0922180437136682,1.1202786408208856,1.3157086916967948,1.1557381185048126,1.0931965394245087,1.3052963720775512,1.2844343010798729,1.3545162942360944,1.01808261822857,0.8823522668971844,0.80233269744061,0.992682016581001,1.0367246825740275,1.156286796331986,1.0806174779212454,0.9157487669485369,0.7726247767646128,0.6966762870199947,0.6074659861057523,0.6832122029093096,0.9117117957090789,0.870801393560713,1.4511277874980681,0.7393753168453269,0.7433268119987991,0.6862705974641261,0.595684420911959,0.578239315046466,0.8995242929317624,1.0643129282481987,1.221580382793177,2.589063079630654,3.6004246305081615],[0.5823549040043473,0.5309956336013285,0.5763146694356626,0.438922414426269,0.5222318995552728,0.48633640453837546,0.4315061082128905,0.4705472660554294,0.4644253420389669,0.40362513157295704,0.4191906271585246,0.5262161483782064,0.4077640354116817,0.3881729185367634,0.4314779029610451,0.4249499922544643,0.4379690720861722,0.45785232678566345,0.5119244865086585,0.5043623718704434,0.5471167501704282,0.5333351882173486,0.7379834330360481,0.7619459285017749,0.7895549428403594,0.6207850084438566,0.4847188171633059,0.4293528686334899,0.4074040687079377,0.4178883896307549,0.4728662772486286,0.48413731602927595,0.5353348891512169,0.47364006606086934,0.42975549037437394,0.4552903569020694,0.4348428201052457,0.4462289544527653,0.4044646683031691,0.46820235395305604,0.6338047151256005,0.5392970974189975,0.5155059189586719,0.7419940859447715,1.2852242305565653,1.6365116177367574,1.7511659625602582,1.0238370674874597,1.0980923768367186,1.319679830313573,1.009705312068587,2.278140904054493,1.355192381330044,0.9007419946176142,1.7718044228395105,0.62011783693791,0.7717398102971513,0.8581412053597137,1.1743517482513701,0.9075264444444856,0.6009289423864099,0.7660545498629601,0.8293644369784671,0.7370518588056739,0.5568477848723263,0.6039282543443281,0.7720247277394634,0.5565743285716055,0.7375502355182257,0.6005032519590664,0.8878958854582528,1.1325269231546877,0.8047363706605224,0.9368906472866695,0.5662879675657198,1.000636850749926,0.527933104102651,0.48284102554010294,0.45790621092927886,0.4863463070777762,0.5143495013933634,0.5702731449056673,1.0705347128140037,0.5018652151814469,0.5568929611723596,0.46804357259457413,0.4525187020947077,0.568413683603897,0.45333307442807597,0.5243666383361998,0.49637952297019444,0.7029808976697921,0.5783920868561481,0.5120240083801672,0.4767460224678132,0.5896628767639885,0.621421119388532,0.5363214150365746,0.5335020355499938,0.848399533304482,0.5676258191106578,0.6763216004841185,0.4965609178254714,0.5996708745146643,0.6346083995807019,0.6157309811114773,0.8460185224517206,0.6603484667014181,0.6568452676635276,0.6870440722138911,0.6403330256463657,0.5007558286115703,0.43855816239907125,0.45552944228710796,0.3863791366039551,0.41356442759237055,0.4711457910724635,0.48190956658315726,0.6958959687246934,0.5280288798106462,0.5357920310750123,0.4554914062859302,0.4795807537892952,0.3996765293336087,0.4018051142119376,0.48213425634811585,0.6063524030419813,0.48941684356046533,0.5467025437667835,0.5423557558167516,0.601365891113228,0.6839709187542206,0.5881602023069241,0.5868024531748157,0.5506949967317897,0.5059872347446772,0.6986750259060093,0.5537653659519766,0.5167574436939237,0.45263712522743366,0.6907630648142987,0.771213279073646,0.5376913689369456,0.5511255142490823,0.5088480920162991,0.4202543731981066,0.41192297302337216,0.450612150950662,0.4290609803048329,0.46819958618479784,0.5674968329059749,0.5768691013607958,1.0198819771925238,1.3727090430437392,1.2514136848972637,0.6258076450470238,0.5126472236201272,0.5321560868371228,0.4775236514427097,0.53448081542511,0.4706720916500511,0.42321173540806534,0.4317664138104661,0.45366578804006336,0.5271339081093328,0.7150010107013139,0.627972730558927,0.8336995729839148,0.8282856782779738,0.794190895935442,0.6228376222475338,0.5149175965253536,0.5165319848289532,0.4892910676059435,0.45977842685625614,0.509808289619107,0.46337434312784814,0.7075253718833325,0.4578016815218048,0.5205982751200093,0.4989293007089488,0.5397273345449619,0.5526687972797548,0.5828749509217486,0.5810636491437827,0.6600820557268922,0.7782111614211222,0.845891255177817,1.9960572482650458,0.9582375902708461,0.9871512103963483,0.8474789110843254,0.7985590069455861,0.7719858761264573,0.6821418742939541,0.7494663983823014,0.6825852839969753,0.667889657980391,0.6785561886338751,0.7117922687673016,0.6433513731934735,0.6654582218899814,0.6149619273507329,0.6584296589079114,0.6657734745021021,0.6749643740917747,0.6589783746882193,0.7153375436232103,0.7992948307977615,0.7286827510526211,0.7361439607351948,0.8378665743413868,0.8953467678675686,0.7440150864151996,0.8730503658354509,0.8123521913482025,1.095444977788887,0.9455982019465622,0.8152527108166683,0.8119217278384226,0.8898810470032664,1.547401414695885,1.2780730859423384,1.6338502035151046,0.9880263840948614,0.8716527221838073,1.0007274562780977,0.910212859232407,1.0627207767307525,0.7672777547374393,0.8141235549110502,0.8886138249540424,1.0649505166719768,0.9091698215072729,1.0122793600972548,1.1965929255900938,1.0403354188102991,1.1328691404896918,0.8011188465477588,0.714120086875975,0.6720960497921421,0.7134232906509542,0.8048220711660754,1.0403585950734913,0.9051287198626267,0.8100491418207332,0.8229311118671956,0.9292944876815818,0.8723972616315349,0.8247153963933282,0.9863806120089804,1.0996835922301416,0.9227166911764036,0.9991007757824097,1.176966829307588,1.2743294425880693,1.0160634783270286,1.0645374785367667,0.9471410677191618,0.9241939706298856,0.8292222014104444,0.8028398095024347,0.8931366391247874,0.7649221776149236,0.7464385137081676,0.7815667671696848,0.7840679109249016,0.7448766273134676,0.7858994539904268,0.9828777172180447,0.883884888789742,1.0071222915944364,1.0127895048307003,1.2128852193498014,1.0542917524780362,1.004623915344433,1.1900322850937308,1.1819079549081328,1.3483941552936494,0.9730230458621012,0.8401552587562007,0.7733506357187069,0.9602218384695267,0.9733800654802831,1.072719296192921,1.017092980489969,0.8487874608476739,0.7151297630784331,0.6453665962625446,0.5807513068040052,0.6578784329755827,0.8779455033389266,0.8743753655533119,1.4308803436579791,0.7230433821851386,0.7408429234236696,0.7012368603302487,0.6467881812856621,0.6008907129207963,0.9134315564178167,1.0438255634643838,1.2220182137721627,2.6191565032666877,3.574457118151831],[0.6731447772269538,0.6069401564661568,0.5943808218871485,0.5112107270606077,0.5574004911140511,0.5831958380583574,0.5233443199988463,0.5990705872378923,0.5817932684009489,0.5330397745973255,0.5689924346589906,0.6527258967810445,0.5387421407315307,0.5100584576227541,0.6067982515402716,0.5766925893592223,0.5373191224468867,0.5746962236189495,0.6085601097444276,0.5815177639225138,0.6284034887297567,0.6156546695186277,0.7925358994524033,0.7706337000757228,0.7825507456949641,0.65896607520613,0.558078533541743,0.5116619964159906,0.5100044373914027,0.554307070926323,0.6043328003345766,0.6484109395482465,0.737978376114497,0.6521465287402963,0.5928161414288794,0.560632735798361,0.5890752112313468,0.5470096180237956,0.5011915102171913,0.535381438416871,0.6822243188237352,0.6204040512950567,0.599901101127343,0.7639644852680102,1.2532261912367038,1.6143875838519008,1.6929843244866603,1.0070995808531973,1.1127824027875057,1.2915795698034171,0.972951368761426,2.3459500516147482,1.3849302617764008,0.9111419787841839,1.7403426223323324,0.6500559626875176,0.8307708500272692,0.8118750019831867,1.1893003763708783,0.9404692667689722,0.6957544468442352,0.9201388673433539,0.9690042199118025,0.8630538367265143,0.6434495581191437,0.7340750712669964,0.8518441468314708,0.6705185164993857,0.8179190751257747,0.7103569405871613,0.9482247265254992,1.2183682466025079,0.8750525764092693,0.9856383178270375,0.676552886520364,1.0960363271861886,0.6327365467978956,0.6224722463039517,0.5941897756359644,0.5732128175419325,0.6463851693988899,0.6848225870584502,1.1092269241087325,0.6344665831751698,0.6233176677684538,0.5788319783477538,0.5592120177756751,0.7024815525150637,0.5582552367519185,0.6595021903389388,0.6341291847629343,0.7621149019398978,0.6802376479802553,0.6685989223791322,0.6309169244349355,0.7194997240039597,0.7454828820005042,0.7134392895301952,0.7354338237650606,1.079081289785627,0.7853661274388447,0.8271701704477183,0.677490347358808,0.734406753080339,0.7012181850359376,0.7248869402185023,0.982174483668334,0.7350743222837414,0.7333584175617807,0.8087634260096481,0.7321589404902907,0.5774897503395892,0.5381014057232494,0.5348340641778982,0.4947174620844936,0.4877278647540358,0.5278648731761737,0.5175890196966509,0.733857615093951,0.5996332530750602,0.5828585019031931,0.5235358610733514,0.5080481215541969,0.46805134884045996,0.4949892344834349,0.5320167267780069,0.6900107566693601,0.5590436328511543,0.5971573952586338,0.6025202495740721,0.6079913428617371,0.7102998454714959,0.5955510990233769,0.6461855154435229,0.5713166129469076,0.5456682039081926,0.6955020838408502,0.5633623325639447,0.5689401808235693,0.4899892082176236,0.6843440147262625,0.7624813560612046,0.5872842664510936,0.5540873350545071,0.5646420731216981,0.5337568692284804,0.5049481180000799,0.5535872088761389,0.5483353653927907,0.599831296576932,0.6896377925761921,0.7066588909704113,1.1198246206926288,1.4514694472504326,1.3928443953698717,0.8240948626953203,0.7067871113838785,0.692604484267471,0.6334365654655931,0.6262128132636432,0.5570982125800614,0.5295282132971185,0.4787451565985132,0.48901286570687374,0.531606635969638,0.7176269772609664,0.6165311913480349,0.7999308285769094,0.8042504393970379,0.7738163135952082,0.6109936599463944,0.5278652184486337,0.5442119914175167,0.5477025066560404,0.5558534848333239,0.6222949285494288,0.6137043384188473,0.802668497549385,0.595094906486677,0.6099293380993032,0.5810062429252757,0.604653506112674,0.588915223932644,0.5879801063230781,0.5774240606086544,0.7157487515462159,0.8130751564475178,0.8781008548963242,1.994902714792107,0.9220500457721201,0.9992455162505741,0.8285932988678432,0.7674689438060642,0.7458418303777804,0.6773632080437643,0.7418716567548949,0.682952830383692,0.6657474753495224,0.6938813860712324,0.7284192898479979,0.6924492883765199,0.7484150208837246,0.6694913167429822,0.6993004871075302,0.7440963726933901,0.7502438264588465,0.7044981032643245,0.7746530408507529,0.8994133469591727,0.7916902820063232,0.7929485136318019,0.9018610479983191,0.9437643013440753,0.7945326462149406,0.9115468133692501,0.8596854743565073,1.1426645084607687,1.0155257346160522,0.8584435765207644,0.8959856557431263,0.9747057389996897,1.7027216811090664,1.3787048271126574,1.6816939278198817,1.0635066615917679,0.9562346013383849,1.0470213260644483,0.9863027722722397,1.088224594420199,0.8321430570744267,0.882036894357314,0.9100713676320316,1.0868584308241807,0.9315068203332562,1.016222929638062,1.1530572750447194,1.031672049173449,1.0917130491109952,0.8056167002838895,0.7405445198452798,0.7421021140987224,0.8067592611213361,0.9194890330436032,1.1338030920336464,1.055102979101479,0.9372603921833927,0.9617032168439917,1.104368758580576,1.004781819983528,0.9528290083439723,1.141417590822937,1.241687449863455,1.0440810393655506,1.134706419422016,1.3344322337454444,1.366052498052754,1.1195583345869051,1.1919369949000906,1.0542949112680375,1.0409797615140666,0.9569979172681665,0.931007463408322,1.0028203426895315,0.8611531523204552,0.8507138341359844,0.8749533184205988,0.8687977512695285,0.8116226159051675,0.8452152945175612,1.0309146670542901,0.924454280478975,0.9983327953500574,1.0367462068964541,1.237761249606223,1.069581972614637,1.0377875347441,1.2255711027120018,1.2231457366553133,1.4231680296371776,1.0312108930097852,0.8857165187094422,0.8022748552072495,1.0117260263138592,0.9927916359404532,1.0748908384762481,1.0219737521003387,0.8692559747828675,0.7142434157846825,0.6640263233951682,0.6241403826322292,0.6902385263683235,0.89309231646157,0.9822274309824753,1.4482261689333065,0.7467906746814041,0.8698051162297044,0.847774711142711,0.8135090136180327,0.7283093367858989,1.0635451297120715,1.1122954394471198,1.5016218814017297,2.785026194178335,3.830038346223502],[0.8073830595876346,0.7355874954788871,0.7065874705316084,0.6502152697713746,0.6842865896586809,0.7124405551801336,0.6680783396457429,0.7517001020559528,0.6878982099846656,0.6367804619596503,0.6628352302941968,0.7532768912815758,0.6526669442102424,0.6062543166230815,0.7041393186982465,0.6899363319010997,0.6470473383414407,0.6823781862624195,0.6952962531985972,0.6675164209518875,0.7251551294250975,0.7176759829522545,0.883362335515012,0.8317181948429705,0.846553938811214,0.7573917318087741,0.6717722107826148,0.6384325679722954,0.6452884408841236,0.6906326563232575,0.7132095948659294,0.7703681890890346,0.8448337409654181,0.7672028554177359,0.7256984668456499,0.6800094110067822,0.7412819388282801,0.6916252819178493,0.649813240992668,0.6675662829426552,0.7845085462726752,0.7320732584200946,0.7120341692775113,0.823440586110677,1.2199489631012963,1.5833848681509344,1.6200166543469665,1.0097684053504914,1.1669210485307056,1.2855768063312765,0.9899703428330269,2.419244891830681,1.445557423108441,0.9658378034237042,1.7257483488328647,0.7387411999914616,0.9448827114482363,0.8194839183685154,1.2199870455327542,1.0140577099256844,0.8042851472604171,1.0767966016378847,1.1027260680126556,0.9774191971641613,0.7382566729032876,0.8550690753848782,0.9442994535861067,0.7828497310524959,0.8787580235389393,0.7971895395797095,1.031010678755364,1.3034565210962525,0.9676942146374424,1.0456381509864718,0.7918499911912131,1.1623756208607954,0.7535761400877576,0.755855923224384,0.7228828555923844,0.6982994879786163,0.7803880917112229,0.7964754267036864,1.1900154366470452,0.7904350108631911,0.7694553492702012,0.7238189214892582,0.7058130982764705,0.8206923416993858,0.6695733971152357,0.7559587117769048,0.7428654342905482,0.8207683561656284,0.762942715626173,0.7635620253465628,0.7304624961149665,0.7822192594830395,0.8117038364444272,0.8255776250101889,0.8586075462775339,1.1906492980714287,0.9297593352419127,0.9751436582937569,0.8493299899102841,0.8836887723502049,0.8316976962803585,0.8769171825151024,1.153473264061338,0.891833917710363,0.8878119285243156,0.9728551542186236,0.8704167229840041,0.7133248125707554,0.681195303772629,0.6450485987892237,0.6269662039853389,0.6203908806362847,0.6387165540768882,0.5971642745832962,0.7889909472507913,0.6959382973740158,0.6622770278275573,0.6125859695746365,0.6052281205276733,0.5898539858202653,0.6114574137533131,0.6595982132857116,0.8453914862491226,0.7092341386565584,0.7318472834470384,0.7391495389634639,0.710319306099266,0.8068462084224731,0.6960847295343154,0.7909178432594012,0.684188037588262,0.6788768812550744,0.7858126036222407,0.6725120913685069,0.6974239595055549,0.6179561082865256,0.7264065128026144,0.7517959937804729,0.703090694878648,0.6299315654004446,0.6751718081833146,0.6645647074554345,0.6351860457617963,0.6750771555000955,0.7068058093121515,0.7360391657457364,0.8664537423004735,0.8604713851744176,1.2539094781389546,1.5660011370357099,1.4760244606549855,0.9735655045097641,0.8597033165013729,0.8624721686615617,0.779942013780288,0.7584913662578061,0.717375149141461,0.6828459718346132,0.6253783785902183,0.6409018018613856,0.6409458179740626,0.7847754393216416,0.7166115828314188,0.8624876341082516,0.8748265653766403,0.8448378453576253,0.70494749609506,0.6562884547995198,0.6909139752937119,0.7093808643412199,0.7149419992193728,0.7758103819045223,0.7806913655562577,0.9187851666591792,0.7632558093811019,0.7801628496881666,0.7362641535628955,0.7377617697902799,0.7273789129939761,0.7293649060542106,0.7172352810378577,0.841170576154575,0.8846059545253169,0.9724300807526955,1.9676775769565218,0.9587913637201324,1.0946389240297576,0.8990652371830297,0.8400271902430423,0.81812630923992,0.756731433033301,0.781944777226694,0.7733228485616717,0.7631064192151851,0.7849966054412517,0.820488257737889,0.8018416680409935,0.8595568011159243,0.7932589440695323,0.7991138186034106,0.8548651039288114,0.8602000071945578,0.8119572124081456,0.8641369293911892,1.0083443951997484,0.8853504337728032,0.892980783652705,0.991487076828662,1.021752045589388,0.8952546685397743,0.984390315008956,0.9298373686979478,1.1724211934518778,1.042460370510935,0.9122227149773208,0.9740767337122829,1.0396364892400405,1.8287928965016915,1.460852420333563,1.815788985016364,1.1814483869816106,1.0722667028326482,1.1244336428693649,1.0635546766574202,1.1009153987989853,0.8829141152085279,0.933562130627111,0.9097788699289275,1.070926749371723,0.9564006300635793,1.0647781391063746,1.0873254496666966,1.0687146021486165,1.1090519900131317,0.868784642804978,0.8599526379454613,0.8716982321067586,0.9397220882271002,1.0685191728515833,1.2052532917277126,1.218908103436619,1.0959881557045483,1.1125845187772097,1.2428725023430083,1.132212836975522,1.0729749823752257,1.2765957444477085,1.3568486333262608,1.1605787921195454,1.255072187651793,1.4463858912809153,1.4424423092342618,1.198695484223314,1.266753402070373,1.1267529665905065,1.1316075159816685,1.0837455144099282,1.0494538168633043,1.0774831728076903,0.9592691915943,0.9451952386941572,0.9608988604394322,0.9480586096048357,0.8889362835305922,0.9272089979264166,1.061462465882002,0.9799681877824583,1.0286810833779272,1.0426695205382872,1.2784126148984667,1.0822942067991486,1.042340624156331,1.1733301680405244,1.1894022781375562,1.4226889711167852,1.0557651384798117,0.9388858390919876,0.8556848291586044,1.0552860553768884,1.0012430813915338,1.0657522766615892,1.0412034940839359,0.9266433489072882,0.7524024022017846,0.7651669815167234,0.756197543412899,0.7418813871476834,0.9193177616232971,1.0476858645797866,1.5182402962259878,0.8478380860073407,0.9494797488908021,0.9721644895398933,0.9717836287041461,0.8620004055467292,1.2085624395953765,1.1161094378924488,1.5952896421902847,2.7072640122630833,3.758570240051806],[0.9659128860329269,0.8913956007853849,0.8751051393213082,0.7998816443989303,0.833183613955048,0.8490413949629966,0.7985103708021013,0.8631038814990266,0.8270384418156674,0.8118339738126414,0.8398628872148327,0.8792657355146614,0.8317353643270738,0.8122888166634469,0.8840759528744896,0.8475089731953589,0.8046333637647903,0.8577707301452383,0.8889171642084285,0.862670797380557,0.9115694583851575,0.8889019448403688,1.0367578820631629,1.0562557676191988,1.0265099965341091,0.9523159707712087,0.8799406764291715,0.8420133840233635,0.8136939508658553,0.8386761826096267,0.8499601613262714,0.8792202869605197,0.9645531699469633,0.892587501583173,0.8549333149135195,0.8338953383092648,0.8385804903607593,0.8432222668023959,0.8186336755089039,0.814178736183215,0.9608930366559928,0.9234654556617238,0.9050387872962616,0.9994193665682565,1.4532814090272752,1.7544624164944569,1.7908397898303074,1.2005935343601575,1.2842468743262305,1.4214767026771638,1.0728735192468812,2.3141310558865773,1.402431472983963,0.9591569685057415,1.7757979474147743,0.8796903646919683,1.0121701903659968,1.0299882847421422,1.4385369657213627,1.179297875549442,0.9747389722372413,1.1911602045492162,1.2036726122827237,1.0074712760017634,0.9147201255272537,0.995333307096849,1.0886103217006629,0.9496818147305324,1.0396276350086089,0.9916254283358226,1.1218723046336867,1.3898755724992067,1.1711530398140073,1.2588406411606692,0.9450380816378474,1.2804651951920425,0.897035235404207,0.8967259035292116,0.8512249282233351,0.8481136682173077,0.8682054467090933,0.8967327771364949,1.2183630332708992,0.8741522163322618,0.9260424718855633,0.8560740005909012,0.850457033710801,0.8757643079220262,0.8356299536256211,0.8675413427127637,0.8939639728014059,0.9318992292560327,0.9162413524783094,0.9022386338092022,0.8779565271618075,0.9354063451186463,0.9535474074119528,0.9421653049861731,0.9592890894042253,1.2146214547868028,1.0062779089648666,1.0451164231560637,0.926684624931224,0.975436607636985,0.9660665099759681,0.9776346381886724,1.2435014576156345,0.9979481468908563,1.0064355146761537,1.0560391878526296,0.9811236795407609,0.8411934848968995,0.8089737288677507,0.7960999713189024,0.7991740532181857,0.7981037007017364,0.8669802406923325,0.8137456895151426,0.9405194351453152,0.9005810396615711,0.8652979168400522,0.8225970547356681,0.8309083581468844,0.7837880144549939,0.7715327381128261,0.8156264170904796,0.9763251519476184,0.8315352326760815,0.8813825401194639,0.8918943680400928,0.8783257611838275,0.982213662220875,0.854245540970486,0.9243332196517441,0.8323330770010874,0.8157764180685622,0.9454427029993646,0.8149014389007007,0.8447709485376712,0.7932701879277441,0.9489386844819537,0.96737984270018,0.8517858545096768,0.8631425920224381,0.8525000263320618,0.8189875153618515,0.808308797935923,0.8379023261136633,0.8245728472163806,0.8523202510632337,0.9214322699003558,0.9138739758215546,1.3235192801560094,1.518932901599324,1.467858970823792,1.0299822362472475,0.9284142673739911,0.9291024076395082,0.8715309323516225,0.8858178623507027,0.816456225846268,0.8144518148343562,0.8074562636058735,0.8043584053596389,0.8362272611727083,0.9587082732948763,0.8926698758689994,1.0022234795478153,0.9991065770710018,0.9956461783928079,0.8720437063423129,0.8002776801218522,0.8428841471868815,0.8330430071637083,0.8277639810899421,0.8742569780599712,0.8623468880129057,1.0343401486767172,0.847013811472448,0.8736752876060654,0.842888718593825,0.8721709186216484,0.8819312986809559,0.8727632892436027,0.8449559727431335,0.9445488537681751,1.0191417610990015,1.0584713191043127,2.175224069265542,1.0956100818396088,1.1702648501447206,1.0108840706552096,0.9556891465304185,0.9310098450173016,0.9004364454827929,0.9729501307053657,0.9170187211724666,0.9437864841335218,0.9720062464414653,1.0089775538719992,1.001313003593031,1.0607080714050305,0.968997770945783,0.9830091579539681,1.063813408452053,1.0524591566174735,0.974419200293752,1.0502846900280653,1.208569130438911,1.0694560174735128,1.0696204473907829,1.191766770534203,1.1983745490878772,1.0664413685327736,1.1752292433316092,1.0875415690885284,1.4202231572724313,1.2008457041543983,1.1029359621533295,1.1966448137617216,1.2751635479097507,1.9115744323393684,1.6345292829410087,1.791328909914916,1.3738514526286818,1.301032441384223,1.3704287971019329,1.3194299976874009,1.3338970363983658,1.1449604476904238,1.1500937330008933,1.2009069276050137,1.329311951558578,1.161588678697018,1.2406228765961984,1.3122256123326108,1.2331614061164324,1.2034094952683434,1.0451582569487312,1.034458292373199,1.0642113510506213,1.1264170107092266,1.2411973302168955,1.4336364043551624,1.3448404796944373,1.2781557280587643,1.3240405624078828,1.43344434456479,1.3153052120448663,1.2931599873272188,1.4660284362372002,1.5328889278985969,1.353274782826409,1.4751253834708837,1.6603879017790435,1.6027333544013442,1.4426413632978214,1.5333741004846038,1.3764894900701834,1.3876577596704134,1.3105540350341998,1.288207820903901,1.338405968674316,1.1862369587170183,1.1941144066058924,1.202349651941281,1.175352980217185,1.1046538410134463,1.1444496307639376,1.2320057290636401,1.1430855993727478,1.2063542913687246,1.236215102691724,1.422572002896371,1.2312064499603905,1.2025886337250062,1.3288480598762997,1.3375051856759779,1.51261684339286,1.1939108871530468,1.0867834413830857,1.0238472118793538,1.1722232929538965,1.1505467000763363,1.1865361626205149,1.1432300526311214,1.078864017800332,0.9495809269588676,0.9412768941241836,0.9037936680374833,0.976944037628626,1.1395047109848477,1.273242860675656,1.5903140827870244,0.9940336039018166,1.1657134465945966,1.1318317448736146,1.074990850949506,1.0006095454189659,1.3568031978016408,1.3447352911315358,1.978899520015185,3.252377721106558,4.3568982189856085],[1.7114854380994045,1.650259756592773,1.6543517051852286,1.674445780038793,1.692036290980754,1.7879112355086015,1.78502931924917,1.8412121790749603,1.7856594879128918,1.7309245290800044,1.7405128737238744,1.814597541209831,1.7552776977908648,1.6845825759676412,1.7159559722979607,1.7589318311060238,1.7021059515602697,1.713077619146473,1.684448030656022,1.6947523602943224,1.6938033124448566,1.7085166783126742,1.7372828883988156,1.6725261869757098,1.711095143596514,1.6763338370284748,1.7189221185343213,1.7151215477776276,1.7486674089695402,1.781810026949062,1.7305418434113113,1.8357808949727683,1.8363158521980538,1.7967638699057438,1.7960997840067605,1.7488193408927903,1.823389030994526,1.7915290259128236,1.7413253414323682,1.7558779384055014,1.7831678468143415,1.786035984302457,1.7711514732315268,1.7850263244806754,1.9545260881803395,2.1663691010070414,2.1311604043038854,1.8119648484977682,1.8903493919917642,1.9090461544323376,1.7959775474622082,2.7249507145861878,2.1282949311393304,1.8366596843487424,2.4299785153344584,1.8193648973394165,1.8439580436312448,1.8833645808384354,2.1831213451423896,1.9894887214183143,1.8033336626633554,2.03423766310781,2.0205597452083217,1.8587692290584763,1.7406242007559918,1.8540839302165144,1.814106373073432,1.7640513124158914,1.731890990192144,1.7296554702990647,1.838105286691873,1.977556184569124,1.8319078317284485,1.8651522825287643,1.7600295052945218,1.9254327025799836,1.778770390933745,1.7672100471273848,1.756755543098057,1.7584158776398917,1.8209915427052301,1.8691852301667202,2.0697323076780823,1.863301265387327,1.8542082370350326,1.8387811143975084,1.8260591712629843,1.8519759579204558,1.7361892154594265,1.7778766339152081,1.7578952398909888,1.6997165770669977,1.6958448877703318,1.7384978011780885,1.7439159943134557,1.7278415625541073,1.7447993657986092,1.8159742743728737,1.8644208760222816,2.0792639250561407,1.9182199204440424,1.9291274243286722,1.899319905666791,1.8900641399574512,1.86905572565954,1.9152010993560638,2.0446812132441043,1.8514757591158852,1.8400551765334618,1.9075378098797,1.8411564595410048,1.7930585674618993,1.7934510778012906,1.7523216611222086,1.7440074098785987,1.7086612360232316,1.7131604029532108,1.6449225982151003,1.647017050280192,1.6524272606844481,1.640388861834042,1.6504348482667892,1.646092818361537,1.6765150242919953,1.7271896744135828,1.7389698783306862,1.8373251759981957,1.7670127089908945,1.7654094320679774,1.8040042434757926,1.734067986579659,1.8101704689432934,1.729198480851315,1.7924849356261816,1.7159765521201924,1.7184322862301376,1.7158767268521498,1.67592730354976,1.6759249492995723,1.6721136245610009,1.6364806621367205,1.6367586727205554,1.7045535451190483,1.6700239523961846,1.756152074580072,1.7500087329099443,1.7388681297163375,1.8003574823008839,1.806573792814347,1.81822873755872,1.8917717309572302,1.8814821767784624,1.998751841499264,2.0959527481791294,2.219115645444397,1.9524255465682334,1.9052279088902535,1.877946831688122,1.8493064927448304,1.8378530237136481,1.796678287692187,1.7897939663102767,1.713718240406067,1.7308098334737243,1.6790461236264071,1.7988121927658378,1.6641322655272253,1.6093620218700444,1.6317245374673477,1.627849515606469,1.6388942432766926,1.679841896704428,1.7380845562997556,1.8034539481799874,1.8160665853256048,1.8406493674323205,1.8342843997650382,1.905516083631269,1.833075680841348,1.8776439633415858,1.8014059508813876,1.820354632998147,1.7920009749998274,1.766788933947985,1.7365576720511924,1.787884206967866,1.7553404228114486,1.8559854078861295,2.3577135009084618,1.8307292418222627,1.8096833716621636,1.803870866505596,1.7223084185301802,1.7000019441098957,1.7044381190928104,1.723637529251268,1.7021197697909354,1.6733678303543964,1.6519257891865426,1.7372098470122948,1.644480146163525,1.713134594210555,1.7107414584510934,1.625257909761993,1.6261973376462475,1.6891429524561434,1.6250292904156778,1.5680831039985943,1.6930468407186834,1.6489984574338044,1.5716997185021853,1.5798803177005392,1.6672470687259977,1.6070657026224215,1.5303412351761656,1.499498331069004,1.6042424668102437,1.5060742497672248,1.481028628187565,1.5026438927121597,1.5402077362964215,1.9932644151610406,1.8867172342382204,2.087996608034171,1.7220820447946819,1.6759499118442809,1.7503310301096013,1.6813724050825036,1.6622051517966387,1.6060380672689434,1.6141808655989154,1.627105418433723,1.7594358472510707,1.6757623712721206,1.7378163734108907,1.739904874119959,1.6882040941572933,1.7115011451468807,1.6195938912731018,1.7200362043100343,1.6855325977243087,1.6696255368002266,1.7894229671099817,1.852444992961436,1.9040541549629104,1.8795892719737122,1.8294658447197816,1.950486461575081,1.8795636241744857,1.8222285239206806,1.925536612744784,1.9997220232641948,1.857497538745227,1.860068341760236,1.9974254728227023,1.9661487612506257,1.7857322792148818,1.786070058884311,1.6706366464743048,1.7034758061473982,1.7373063029459723,1.658168017072536,1.6139802568018566,1.5940752585638072,1.6387697285550475,1.558741902431336,1.5506497054051436,1.582741196553615,1.5591967558193727,1.5682230746453294,1.5400267869197688,1.5986592591589934,1.569008041893049,1.6762119374946405,1.5550229878756006,1.5608038883099151,1.6152609150956172,1.642193252432853,1.671940530805844,1.580508842828504,1.5633517645038586,1.6258981512081627,1.7191437900297426,1.6896116025819865,1.6619853876274082,1.6811205191589393,1.647022784382699,1.6573551515375875,1.6901299362062803,1.7380554644004311,1.7655796757604443,1.8806584878754307,1.9193040655602909,2.1861137759329403,1.849253206706507,1.8664146771804044,1.8774744411760036,1.9276298514706605,1.824629649021479,1.89146534104937,2.0697968807431013,2.8740418417293445,4.10412198943991,5.1082950993461],[1.3298381148300402,1.2664441856944513,1.260105546500672,1.0311507188850686,1.135977585422227,1.163379050678813,1.0833292828180359,1.1514374466206518,1.0477236018505625,0.9292028418720467,0.9310251917536179,1.0819957991942883,0.9631493029612576,0.8468793281172642,0.9128407160001786,0.9478804589433018,0.9008006451325689,0.8978077526946351,0.8526008021688307,0.8822327121276207,0.8754554991226176,0.8844965724600914,0.935208139994253,0.9582308731612897,0.9652839057238841,0.8651238899105766,0.8849378926927336,0.887745945752796,0.9299633518186975,0.9727227038457247,0.9191442552105406,1.0397582653172042,1.0860000308522126,1.0165704977429273,1.0021471019293402,0.9456225146586414,1.0323648672373864,0.9728276760726043,0.9506666116704536,1.0027214082323028,1.012127739439937,0.969315723358917,0.9497344889329485,1.0645584796940015,1.5189311609663987,1.8759894352472106,1.9077396877651072,1.2835257612018336,1.3889280567334668,1.5263456128892705,1.3083832851821577,2.5196514796080236,1.7200241475877942,1.2398749445619786,1.877911204406342,1.0593345523370516,1.1676313212436558,1.148088748167235,1.4489067278037708,1.2048084044038911,0.9751749901338151,1.1484817579200417,1.2003009628846064,1.0717771403057688,0.9011886716946664,0.9916755950431305,1.091591239137268,0.9516179885041072,0.9744366710072683,0.9448228267487736,1.1534450837907215,1.3602606384089493,1.1105273823476272,1.1720452748655796,0.9401623577893493,1.2908503740154154,0.9579836877546933,0.9564655259660841,0.9468978807582222,0.9776737066733793,1.047211749662804,1.134773673527256,1.562356739669258,1.151576728701178,1.1202097449038178,1.0805269703590497,1.0022987588968615,1.0992170704711888,0.9411670959318575,0.9938449131130144,0.9461907483585326,0.9844311933163481,0.9209194862005743,0.9690123379896286,0.9526354263500744,0.9801195028101264,0.9991553081662095,1.0532233030632907,1.09663999583388,1.3715743929100985,1.1562609598552724,1.2490271933409058,1.168577487396069,1.249441672414878,1.3168436968632615,1.2798606841594065,1.4974823268061253,1.353178495029931,1.3620381729621203,1.365172762222035,1.2657730842757338,1.1586263742130978,1.1037058267881354,1.0442767300919698,0.9251979127229962,0.914847633223698,0.9064332991653749,0.8480102613363166,0.92455143493498,0.8565440939811466,0.8500563536293693,0.833990068337308,0.8357448314211511,0.8732174502315871,0.9457909072788299,1.034161061784374,1.2195388069719557,1.137933432702096,1.2085867734953522,1.2438852996942082,1.2542711571465996,1.3633001436337517,1.2323477507067255,1.2905331138454752,1.1613466725960184,1.0997877677901662,1.2229765009415585,1.0366827703654873,0.981893475647418,0.941594019420314,1.0361460955923056,1.073332516182551,0.9285539155533186,0.9816889263205886,0.9758579656598008,0.9312430858476197,0.9406786210272042,1.0204142018269928,1.0772179814569756,1.0976351988490123,1.1952929059116175,1.1934400452710092,1.5025592788791746,1.604890419731237,1.5971903127686407,1.257341337102004,1.1581070767139539,1.175652380334403,1.1025383403131173,1.232343747125521,1.081946895331093,1.0251678208781592,0.9856544794830611,0.983323795969517,1.0596288650009709,1.1543017311275707,1.101569343340403,1.171356488425802,1.2159709502976506,1.1748836891593775,1.1077590643567221,1.039767769816956,1.101585720623778,1.0954269715219094,1.0953359532204576,1.172834289352384,1.1163992573501824,1.3396117873604567,1.121821464366296,1.188121101527309,1.1263963668320216,1.2104102075954313,1.2259361137357672,1.1862460439816733,1.124614247030619,1.0809071098842387,1.0866999603456189,1.1548444568196825,2.1458756186941716,1.244887195737484,1.3001043657953317,1.1959073511852742,1.2062278300238694,1.219537126669457,1.2519584651162654,1.3343479412538761,1.2732232566144854,1.3376780312794139,1.362386282003226,1.404140911800161,1.4071039369361726,1.4328281901597804,1.3605485626417122,1.3878889017110427,1.4346453059869744,1.4345421663360007,1.3611061672016551,1.4272081481188497,1.5335648925452197,1.4295940238609801,1.4376590224912604,1.5142994911399006,1.5189910388557162,1.4418823525024822,1.4929027361630662,1.4444740002399612,1.6206473437437838,1.5296110490536792,1.455913501905059,1.4876262128383595,1.532956911244545,1.9106207447415167,1.8080043160907477,2.1055132032827335,1.5190661381324564,1.5651964387264725,1.751732672186281,1.6742923074137872,1.6982311084593302,1.5055170175242594,1.5239412205456395,1.5614650046035639,1.6518362270165101,1.496151538782149,1.5507370164822152,1.66675857020314,1.5554660876563091,1.537993123235636,1.4189425650670682,1.413332086848978,1.4419098414156963,1.4858728240862513,1.5562173538107402,1.763869934234935,1.5837419960364505,1.585567387821275,1.621017286991129,1.690874004129658,1.6063225568744395,1.6067791955891575,1.7228122717148833,1.7745269204604353,1.640736599896762,1.7297740100686807,1.866782788033424,1.8241036350022577,1.7037286709486894,1.7563869404411965,1.6409070814385922,1.6547390198506244,1.6061345366812751,1.5754778730820302,1.5943586405133472,1.5047228786082638,1.4942609826282043,1.4778411810692988,1.4646241464525014,1.473579595115672,1.452586269543601,1.5382875619025131,1.5110892410603614,1.5880687456465057,1.6067050100382478,1.6965567591052122,1.5582379868075074,1.5138633008164826,1.6909696303711121,1.6790771127074766,1.8016274042237634,1.519198104176136,1.452579154813723,1.4136452462203903,1.5253882063703437,1.515544674739423,1.5212390583284925,1.4806655700674858,1.4553370646300157,1.3470936060824512,1.3220782382123704,1.2352615331060504,1.3816596545542392,1.5653729380398078,1.6494661478947006,1.8897173791406165,1.4056220772881514,1.5631729885615933,1.4989395383155497,1.3252428971843504,1.3243614385043159,1.6550172812055088,1.7950703078298693,2.234415518412173,3.5632159637562797,4.596527107658369],[1.6078505987504776,1.483970218601618,1.4658266770316142,1.3221880075746724,1.3837188801981783,1.463132094903462,1.440110224908441,1.5444904152314147,1.4707357560983894,1.4022202390713991,1.4353022828830861,1.5313385231078191,1.433836724658146,1.3521660529020596,1.4226921744174013,1.4478443326168113,1.3558709990908426,1.3685586188572194,1.3395887757488223,1.3307443845550788,1.3273218726820346,1.3118203499570873,1.4293251785637786,1.2845327714455617,1.355477655657056,1.301497953921511,1.3318028075466368,1.3297957301511365,1.3894921073924629,1.451752235748733,1.41466692356213,1.5362353579938555,1.57884733535164,1.5271485917656207,1.4974320666022696,1.4214639300076475,1.5098452359514631,1.432112603273987,1.3714266373807373,1.3839377520810763,1.3917983190719172,1.406492824450852,1.394343172733847,1.422892586801758,1.7951745776450923,2.0207227074870793,2.0182954975023386,1.5051917888074782,1.513881249995964,1.625923830320667,1.3579026146566395,2.2417480277769974,1.6623293165204132,1.433511819983233,2.3144145172066497,1.4664442625631158,1.3645342507696143,1.6859689649422958,2.012031480656148,1.6351921033495525,1.4394214397541478,1.6566297898124391,1.6193023628779297,1.4603467363386002,1.3599911785738064,1.4562303658842894,1.4697758939926122,1.425692219916574,1.4038166249690027,1.4396813209376234,1.5456645904036612,1.695264766426248,1.5623942918795433,1.6181770649708511,1.4431385636025795,1.6185397302467548,1.449140226860235,1.4708146231379502,1.4480395891209963,1.4337338595671751,1.505524361413688,1.513643576271459,1.7327114650861597,1.51922454711656,1.5237638902423583,1.4802989345045714,1.455119810870431,1.5775500546036638,1.411670159886839,1.4847860893827363,1.4587706964089897,1.408621746740989,1.4303466128235658,1.4756981278998824,1.4668728146428727,1.4802421826127763,1.5157700772457452,1.5394644727127151,1.5928511440352846,1.8627377131321332,1.6515049815626444,1.6745500005779173,1.6059988044539433,1.6301830440228413,1.576578035678169,1.6410002232834717,1.8039023651678463,1.6424554286302961,1.6354171307087422,1.6744216728003687,1.6251522725086969,1.5153839150531703,1.459699586597407,1.395708854215657,1.369917357743412,1.3222018066612622,1.335651714972621,1.2557645475005723,1.3090099516610045,1.31699263479201,1.3032926023991702,1.3047868565440568,1.261986231866614,1.2917432591831741,1.3567584322524144,1.3382681082300316,1.5240869797873036,1.4371199886969992,1.4705389469310133,1.4997397615389474,1.4742992848554528,1.5820527733099672,1.462764299286514,1.5262975608306042,1.4118706633401492,1.3849872153151936,1.4155637981122284,1.3011381851232702,1.304124706417733,1.2926597282710282,1.3627773402603243,1.3899673987920758,1.3007796181974907,1.2876163776398022,1.3557177259769808,1.383551961264684,1.3706163120550596,1.4444288141148172,1.4592089378739457,1.5041612936554447,1.62911615946476,1.632060407407728,1.7979442320380268,1.9106328854265673,2.0109208676604373,1.7096179685140007,1.6216779457130794,1.6153315853647452,1.5438963517114603,1.5467918062882777,1.441618268202242,1.4355477765369415,1.3428906879582951,1.3546914100095948,1.3342504890379465,1.41884823613292,1.3197755992711233,1.3423014786174707,1.3622943354605233,1.3647897355137195,1.3195839444570223,1.3306464450499789,1.4150449490696384,1.456881900241103,1.4773293085619699,1.5188344705715722,1.5113346410086002,1.5808949196234359,1.5064518497881656,1.5686451786029703,1.4710569568566854,1.5087139180257096,1.4926587796180821,1.4711757057931274,1.4153400316252014,1.416627142329059,1.4012460378396947,1.4158662757634666,2.2277146884826347,1.47629512683767,1.4927045457967736,1.4518874937539277,1.3850805221559654,1.3851174309444394,1.4246539510207077,1.5068115740987775,1.4547894356697826,1.5143658978733643,1.5377871864458479,1.620516639128833,1.6093549907114746,1.6518487750943096,1.5889104284774611,1.596630901825644,1.6490438927412816,1.6536311265871968,1.5571993745619066,1.636271569699729,1.75941190952124,1.6441652013383874,1.6458253203776152,1.7484175280721823,1.7518493425205566,1.6383885432906202,1.726125461061015,1.6212118346968836,1.8150242358769924,1.6685997386918257,1.6612090482198694,1.7142882891365134,1.7531548085921094,2.026604954277348,2.0321161230395304,2.270356891784671,1.7540945559388563,1.7802444771610146,1.941167185554266,1.8475492303291496,1.8675173790126383,1.6840816779043908,1.7019050306310903,1.7460942064366722,1.8283553279211426,1.6790316290827652,1.7021617044562039,1.7865606659178328,1.6863354757335984,1.6534521176804209,1.5866945898027798,1.6266079693639584,1.632259497742713,1.6936051565039356,1.7536119041604377,1.9462383560214658,1.7831771275876314,1.795614613695157,1.8367800226946573,1.8573068155103423,1.7746918332846853,1.8038749966878995,1.9123577811930614,1.9536469717976672,1.8491268278541733,1.9431600630049832,2.0408258047826444,2.0377476336095346,1.932498449576481,1.9726271274335778,1.8746165975444358,1.88112816542064,1.820240041926201,1.7945163988644766,1.804124531832395,1.7183941569294912,1.6979351848799902,1.6888755572790992,1.6697156581237085,1.6488548358354735,1.6501706538587173,1.7189993426331625,1.6604943163307588,1.7315021018862204,1.7647375522387143,1.846606220025536,1.6986185790365478,1.6331256501542948,1.7925409781203179,1.7597322577721457,1.871026555879008,1.610461712019095,1.5819808564971454,1.5813144334851483,1.6303515009755618,1.6196012817213667,1.6022536229148094,1.5950826032205832,1.5988785390515317,1.5206803984493324,1.5211119522271193,1.4555143911459791,1.5613218130180764,1.6796681324100542,1.7414713552489725,1.9361600843227649,1.6154929686726491,1.6719529345864212,1.7547230545404713,1.7013927126575088,1.576127765583844,1.797500260081301,2.270202838883944,2.850352573152099,4.328507639512198,5.242668287637907],[1.3502776126652623,1.1940957205050138,1.1721987321527616,1.0139224898474033,1.0648235685402665,1.1836723470418877,1.167840867906432,1.2505884910546037,1.2983668694395565,1.2415090156562465,1.3055436269833653,1.4133606358705852,1.2288584899493706,1.2537865232763599,1.279696347557908,1.2894153018932046,1.1870444847548154,1.2121135462606711,1.212382249544109,1.1601817181054628,1.1967038671650339,1.1491325615125612,1.273718476125638,1.2243839043764009,1.241815389503635,1.1729919646685452,1.0947594353983066,1.113540935380961,1.1901934037594106,1.2043884304492538,1.2912962870162534,1.3268642399932464,1.3619389169083265,1.3324006582641137,1.2790671559039253,1.2150409820632113,1.220998464042316,1.1415660508310574,1.0598916689933373,1.0341483365494637,1.0589828143646565,1.1316244699205478,1.089178647404343,1.172103222828523,1.4892072911276453,1.7966539115089148,1.904017500942564,1.2861975039865312,1.3351732900202704,1.4684290781176161,1.2862675621008448,2.4008843642639723,1.6372732750625798,1.191844227163901,1.9220224013498166,1.068038824918097,1.1908150982754362,1.23418777144144,1.512978451514179,1.342393734400612,1.1507529998454515,1.298652378302789,1.396534939596368,1.3534797916091308,1.1698421691917853,1.2650223300852104,1.3952948834619814,1.3229865198041038,1.3969561071668157,1.3677679285235127,1.6334907869341186,1.7930705288800572,1.5620626944164497,1.5872260943929033,1.3744468400721053,1.5348360896427091,1.3226355757968513,1.3048704788825765,1.2246318860620102,1.1682530368210078,1.2185007706198816,1.1732730807423644,1.4847373776205348,1.1377778147066475,1.1121369663606266,1.1544409885333826,1.1463861783566984,1.2407907029228753,1.1993976273480669,1.3215320135201611,1.3096554703795125,1.3899641883139242,1.327783389830024,1.3692502410273013,1.362496544170234,1.4053419477610722,1.4192076192029475,1.409452289395497,1.4097118394394916,1.5993026976036206,1.3683870339817106,1.3808296796927155,1.3020147068700492,1.2962011276000462,1.2245854156779155,1.2397604709689776,1.4577073349662155,1.2491487834109865,1.2406128151239295,1.3223193791682741,1.219098059405113,1.1404394439626122,1.1480423217588729,1.1067816260936714,1.1133238731381305,1.1059242313877722,1.158071451043083,1.06749674488074,1.26231777086457,1.2165322173987076,1.2666570006782034,1.2144062752283689,1.1403961243003427,1.1076985190751396,1.1168370578126239,1.0970066695704301,1.1748611409756198,1.053966219267226,1.1014156012388276,1.1174868561233493,1.0960131513177886,1.2132641732159086,1.0756184733621805,1.137362437403231,1.008377976045779,0.9766953592921152,1.0114343532837264,0.9208203064300279,0.9008841346200702,0.921747241898631,0.9472991864592223,1.0282279002411456,1.062591971683145,1.0459262689637328,1.0371706489920383,1.083131699673772,1.0621132904438826,1.144793329565311,1.1344499217179853,1.1896192483620684,1.2766167650982392,1.3498661873164948,1.630158499864099,1.8787415434131147,1.854931804115226,1.4584351225394565,1.348205711885294,1.2906609995548657,1.24849028908127,1.22254306549165,1.0848709150963818,1.0817298079419344,0.9905379291246734,1.0119622666716497,0.9575022907203281,1.0008134537621995,0.9164280492384367,0.9494357868483344,0.9675238116349925,0.9543271298478083,0.9022616903091474,0.9250353743440325,1.0138873080546644,1.049353431024604,1.0845798489353202,1.1680605612114183,1.1984945125540405,1.2696296244082386,1.1444446371583974,1.1773391936341155,1.0762464228573978,1.1382553806611133,1.0975689352692488,1.0869422591570765,1.0422402697568371,1.0797229653421183,1.0939733017565254,1.1015097784870875,2.00078164272571,1.1325407276969464,1.1899386378580339,1.088943234445934,1.0020292086149198,1.0191380187232884,1.0597962187676415,1.1651912941808251,1.1028203663619423,1.1762608500072904,1.2215128901881016,1.2689857739561907,1.304056103567492,1.3387569291157473,1.2494189435938947,1.2847825946049234,1.3840938944456915,1.3619531407455825,1.2369045278037107,1.3959202277518983,1.537422922812008,1.3771613308216646,1.3971182593013671,1.5988892019073602,1.5805092065653437,1.3724246879966286,1.593926654615933,1.4360220496058675,1.7593367775710222,1.5696590486004183,1.5170208522922692,1.6493486917390152,1.6861709899436226,2.0615395609021765,2.0511572034858068,2.203742242334688,1.769090604585663,1.6430606801095602,1.6169590725813907,1.55267802086153,1.6246497894055159,1.4459747125267512,1.4703959526116062,1.520877855549558,1.653530696818067,1.4964319749250794,1.4764632035204146,1.6466353909305191,1.4895109189041735,1.4159891331454686,1.3095736654743022,1.3079055908273796,1.3303590500734994,1.4125560506105403,1.4503986228143002,1.5788645239342871,1.5283440247496574,1.5018740936773818,1.5853399419341296,1.633484302097287,1.4854007231212711,1.5274528625511166,1.6905173767673223,1.741207672250013,1.6058544607572747,1.7476806083125096,1.873872993824416,1.891103062540003,1.7734209111662205,1.8415139700671148,1.748054931994743,1.7277333552064742,1.613704080954985,1.6218463115386232,1.684675022550836,1.5374464520821627,1.5136216180902586,1.5846464112407048,1.5634005542990992,1.4381033534477419,1.531741593566888,1.6568838339216336,1.4842598545605736,1.5060826084247556,1.5771565405332728,1.7387361630716531,1.5452368116430089,1.447380864072088,1.6713656492998765,1.5712169095496131,1.8180083179309563,1.4079373912664546,1.344202083900844,1.2596128967019922,1.3260326271319183,1.3258356798495874,1.3856093633934734,1.3351250836317652,1.312468574908683,1.1544468338146825,1.1707122889258954,1.1161431972479532,1.2526690949035582,1.4082583664604982,1.4310010978689554,1.7961680365548665,1.345171344111253,1.388515762023303,1.4535679303430817,1.33281088022719,1.3105758031947514,1.51729123970878,1.9337976050476329,2.5070856340708647,3.978635008969881,5.052355692268209],[1.1934130233306042,1.1347405632196312,1.2095489390529575,0.8842258689001166,1.0014698834048743,1.0159371932774819,0.9430641501210525,1.0044248668347384,0.91922794869253,0.8187360400457546,0.8182465077486446,0.9650933353414376,0.8293991296890126,0.7535001881092306,0.7963865697126825,0.84319435569228,0.7860513841859741,0.7844841829175834,0.7520537290339198,0.7634639118056553,0.7831814982262268,0.7607889998472008,0.9302363179904417,0.9145160131051671,0.9582432601165876,0.8048558843252999,0.7564742748954548,0.7501510330033412,0.8085113291069258,0.8631145208665095,0.8303168151164112,0.9194677820282215,0.9341299893411339,0.8941072874325805,0.8950930813985783,0.8587435920616786,0.9015763160180892,0.8706499665296842,0.8351897330537935,0.8793498192579354,0.8627234807821355,0.8485034697239672,0.8315292179106311,0.9836608723139335,1.4222270757367466,1.7357686257954668,1.8384768601596744,1.1621094399567518,1.1857234841420774,1.3716686144550656,1.1821967690915522,2.2880811886118426,1.540281708339666,1.04657845713965,1.8943839836825715,0.9439402743175721,1.0008881769018367,1.1267456545172372,1.3992358141377146,1.1265133385963733,0.8365272637206074,0.980509671787166,1.000057830188824,0.9384422759031114,0.7790373469232106,0.83729583166364,0.9719681957982533,0.8416549711552183,0.9037230431305078,0.8636372792272989,1.0800453913706267,1.2418287733413023,1.015136213686888,1.1091267225941701,0.8559146600567419,1.0927907816401332,0.8745268549916533,0.8539956778058841,0.853085155707409,0.8633889530046462,0.9040112761451312,0.9406443620405525,1.278393451861034,0.949210309294025,0.9801867453500993,0.9326523384036194,0.8709773873503388,0.9525086048072279,0.8481466831260841,0.9171960907654659,0.8584758882977175,0.913347675913521,0.8487424313422499,0.8649426323424266,0.8605305362238579,0.8957790184663883,0.9236326735630804,0.9423082885027273,0.9768451085624379,1.2282937443306106,1.01525545160178,1.1441758056248315,1.0364803884558798,1.0937010630088717,1.124082807218566,1.13610679393193,1.3614099354610603,1.2281336772973002,1.2261421506746262,1.2192519723132993,1.1396528004625133,1.0220705021433236,0.9514815386807887,0.9128560918233124,0.807818966280347,0.7843930392729646,0.7900154540255665,0.7135523147155937,0.8260157733354133,0.7344725719374066,0.7618186402559881,0.7319286782656705,0.7471240238096811,0.7492067862273163,0.8138030278203418,0.9011901828244546,1.045045283948179,1.0037719587331935,1.0844499580723421,1.0915243894538678,1.1384589018197284,1.2319912333764287,1.1201122783475228,1.137783501555115,1.0329279440683057,0.9794639332998721,1.0826459875345757,0.9240029981975795,0.814389679329429,0.795786204312617,0.8477636544274174,0.9247750000414068,0.7850124600431341,0.7975099187349912,0.7952898600122887,0.8109643452771976,0.812734627671523,0.8827215291045235,0.9182901751879778,0.9441276333065008,1.0743697312286382,1.0789992810800118,1.3549082731149802,1.5072408849456764,1.4706690391049988,1.127893410363677,1.0113965248853058,1.0486828241777302,0.9553731918923798,1.0516778339824897,0.9588623840807821,0.8801929460284866,0.854923225435944,0.8725991980254347,0.9288315581693793,0.9809601496628507,0.9778065724155451,1.0785521200392714,1.1253866383662143,1.0575785134833797,0.9818485211122324,0.9181748569103535,0.9905858785927794,0.9757123419246054,0.9461829002210572,1.0002221886547644,0.9445676027276494,1.075205090547724,0.9536628634487165,1.0485384781749305,0.9897785116229977,1.058395132622014,1.0889810318929585,1.1001061551710727,1.0559027175564535,0.9909233265171351,0.9849838259379059,1.071142580194947,1.970766888206155,1.1450134831973218,1.159333864360309,1.1797556494964732,1.1161241692230146,1.140247264895389,1.1461758604969778,1.223143171693124,1.1765222497491419,1.2490382215394382,1.2728797502443103,1.3006144155395274,1.3106529128826685,1.3062937502991474,1.2585643284880186,1.2933864794015923,1.3329736600390856,1.331834605877554,1.2724198736602794,1.365182060222887,1.4365034920791504,1.3503470637021762,1.3685330563231028,1.4610221528748848,1.4740406390677607,1.3802098738048787,1.4504207648813339,1.372927764595462,1.5310826007602838,1.4270091013615966,1.4108904486480092,1.4324724612331878,1.4873660335099819,1.7761763571135003,1.8431960134417233,2.055608606189715,1.557376955977816,1.4772753104440746,1.5935766490517531,1.485553724875345,1.5462958642400448,1.3853774322806087,1.4167149126842546,1.4603990267359959,1.5876692440785234,1.4554299720842605,1.4534503265784868,1.6373941368441889,1.4841032752549927,1.463874891820032,1.3434126425569737,1.35569609349525,1.3134820011857349,1.3672666521563812,1.4057798241038773,1.5929080672780616,1.4343592022544411,1.4501019270518787,1.4450235239398865,1.4806025597415071,1.4335997417816622,1.4336662710644255,1.5258464313581295,1.577386104808286,1.48361400839037,1.5659741899404185,1.6532007447920618,1.7286787913002586,1.5909221284105415,1.618102161790043,1.536770824151812,1.530740397400309,1.4688935068673257,1.4441963413836074,1.4734373817988728,1.4050030154705682,1.3803191339965215,1.3989722656416752,1.39607038579941,1.374270128104354,1.3871673469719197,1.4869707570896138,1.4265639232348557,1.530931824212082,1.5591848714526872,1.6868673377126482,1.5146051655045707,1.4680584052303773,1.630107535463099,1.6034363394735252,1.7501853480616287,1.4511359971541011,1.380976610579406,1.3259775043411,1.4125269369925124,1.4208673392551707,1.4766431575243355,1.4096443608481746,1.3663368141716539,1.2458478019131423,1.2239646726396367,1.1250857486729473,1.2781687767004266,1.47738096726084,1.410643139467202,1.6801017474083921,1.3295260383483714,1.346095197441666,1.2761887070616005,1.1148506688140645,1.169855338868706,1.413483277788474,1.7820213956303466,2.0779860002006107,3.663955041792088,4.603421797668178],[0.9276841938282435,0.9246180074009196,1.067419121660345,0.7261829432595144,0.8442337425043384,0.8448184727193437,0.7911343706274918,0.803966166672545,0.760739335125471,0.6711925310578118,0.6527211358263358,0.7934570877351657,0.6729031972786106,0.6072164335700032,0.639421027726259,0.6687662770175996,0.662720468013958,0.6775808986185351,0.6719955261946126,0.6782000907708698,0.704929675687747,0.6990898956944223,0.8760822972340241,0.8811646312579311,0.9136865322086841,0.7377330402667861,0.6703153828596918,0.6543546033408204,0.686212365455642,0.7107299148852242,0.6972097069164689,0.7429876009435206,0.7500745272876369,0.7268243241545277,0.7336895722610394,0.7358232944313556,0.7474259971613352,0.7470212256136295,0.7184999754954584,0.7613384227413637,0.7832663495003397,0.7463394794920519,0.7337476655637863,0.9236317676394701,1.4066640240333153,1.7304144640956804,1.8572204555182406,1.1355058817997712,1.1589854866847809,1.3739433378499986,1.1675289493036003,2.2454075542838274,1.4842977745299695,0.9902036976998027,1.8616635713141072,0.8513172654705681,0.9100749814758249,1.092257188154322,1.326195080479807,1.0378858600763872,0.7308887798699112,0.8729733904339008,0.9023698648561082,0.8275326557119952,0.7001863703489191,0.732349807433231,0.8870525153293553,0.7383819549196999,0.8131119054195766,0.7715372910014312,0.9831660138011916,1.1703838376106368,0.9166088281968815,1.0269735725014089,0.7431495250915744,1.0129868197791436,0.7622134268491179,0.7264955134805413,0.7365969674100531,0.7687567902282928,0.750168553027801,0.7901075688170051,1.1699980395008671,0.8010009617253915,0.828840482337223,0.7771173101974574,0.726151072228683,0.8073745453775008,0.7314280861999859,0.7669141116539369,0.7330322116489045,0.8352550296263538,0.7370592916410799,0.6944733304593316,0.6920443281028879,0.7379161162269251,0.7718710146054759,0.7588907722894482,0.7764837104895402,1.0107072280523277,0.8035341185525047,0.9460807755594449,0.8268698135334753,0.8867759833951349,0.9690027412112693,0.9330346292796401,1.1488253873052086,1.016497141793332,1.0067214319553297,0.9977216843693835,0.9327253737826526,0.8309283490572533,0.7788035051601253,0.7649674254485005,0.68097907504008,0.6764574756455246,0.7018391383319116,0.6493848866947108,0.7706452972984492,0.6545834895857061,0.678330170815514,0.6396764432038882,0.6704327071990518,0.64674122590204,0.6844495575076622,0.7832478026832094,0.872556484261149,0.8317101754777265,0.9149317051582696,0.9169634869595699,0.983481309367197,1.0658364160412221,0.9677925703329338,0.9663101065127566,0.8795730817497296,0.8335472150264354,0.9496317391156818,0.8231279085606046,0.7356499905021631,0.7110565858504665,0.8056297259964869,0.8927181836181165,0.7311155990701292,0.7243870803066077,0.7104071804534609,0.686031276515064,0.6964693779449432,0.7400682786614594,0.7465544298027192,0.7617827432446588,0.868147938509907,0.8670644871707306,1.1343283080743387,1.361938300332863,1.3136839139946488,0.896686192325634,0.8010464590228946,0.8294533978219819,0.7673824385020515,0.8599687353083155,0.8008323325119897,0.7372825585273476,0.7445252863057461,0.7566978987383437,0.8320417454178144,0.9002452870504951,0.8894600287141949,1.0227637009979262,1.05546165893438,0.9903289271717881,0.8795194418549468,0.8143707603903241,0.8591435758261712,0.8264744846809553,0.7810860863804205,0.8254459909264675,0.7700844533446818,0.9172943058708739,0.7960098963148284,0.8798006540381836,0.8293201224060821,0.8918072909630895,0.9377077053202971,0.980902292252066,0.9373806232247043,0.8870174252791505,0.9047270338176452,0.999656747138841,1.939305099520296,1.102380769404119,1.121390795621185,1.0891304425783035,1.0288796470280535,1.04070488853258,1.019041467814435,1.1032476776386553,1.0503352919064761,1.0861611270208205,1.0989023839141028,1.1139026922803759,1.0670986302620251,1.0521243653060244,1.0350534916654253,1.0515353566282541,1.055284166837252,1.0647778695646768,1.0518808557577144,1.0810424163005385,1.1157466597456733,1.0814823568645235,1.0815967440319727,1.1339873937099034,1.1974290889062709,1.1243499487435513,1.1603566153540186,1.094485620113592,1.2398925723919856,1.1674813173698368,1.1161565497031103,1.098289238828689,1.173950730939538,1.5258281437896248,1.515228381368295,1.738753504202652,1.302653801744717,1.1647978356565016,1.2775531786756054,1.1870583747312788,1.2810994620733769,1.1329872646780628,1.1916626088464217,1.2689254798240326,1.4182536942419361,1.2869229620247415,1.2911616020563526,1.5066634882078243,1.3191662193921023,1.3490056755823936,1.1592091248941183,1.1608671275881568,1.0807439681859372,1.1032754395546511,1.1517429014762086,1.3011177822359214,1.153365329833004,1.1732835889737618,1.1096268590533904,1.159408229027633,1.161564301262204,1.1196733495930595,1.1954381910104948,1.2647373862706777,1.1731044674057907,1.218364070321617,1.3049419070113624,1.423705385639534,1.2603928831707154,1.2862751301507553,1.1977365473597088,1.1814086620766509,1.1268136986166515,1.09947582816415,1.1271433615142301,1.0826705827308767,1.0894359451778333,1.0921216834314074,1.095159866412251,1.103766824053039,1.1196308675381133,1.255568522317645,1.18406247755103,1.320900322174773,1.3275737144618929,1.4645948586218511,1.3153027857466335,1.278432223978009,1.4373697461669237,1.422573522458779,1.5172449619979245,1.230489544973652,1.1542936441239857,1.1191041976809835,1.2316861461530506,1.26776643794332,1.3429237928493731,1.2779055400420805,1.1730354824075149,1.0864982381349342,1.0474818179474918,0.9585503431766492,1.0906374313583123,1.3208008738582122,1.1834065604810386,1.5696017678639003,1.1921273076986538,1.0952024920823733,1.0009116776002587,0.8730690366366771,0.923840415536698,1.1531755650974889,1.5100916498549235,1.652111109789983,3.258511176339728,4.1273834078619815],[0.775180112145878,0.7588021552376728,0.9468434736429606,0.5511218916972859,0.6945074068708529,0.6552087851007943,0.6147801742334504,0.6249097069966743,0.618554881586394,0.5082018689910303,0.49520689883646013,0.6385666833097658,0.5121711756685705,0.4548521550886154,0.48576650092010426,0.5130344248365073,0.5044539321074949,0.5223083403694996,0.5516413060399182,0.5591336287747194,0.6009741147297156,0.6064152536615274,0.8179844482041574,0.8317207051844098,0.871558585431171,0.6563733736620074,0.5572196623208089,0.5127855994203957,0.5305637317947164,0.5420127649215831,0.548887136341957,0.5792012971476158,0.5865816149385319,0.556685207628202,0.5633755644042954,0.5794336245882394,0.579324671597795,0.597157018731387,0.5509509008264737,0.5940625209987921,0.686932560997888,0.6388499012419495,0.6335641670935271,0.8516222038066178,1.4186794865555876,1.7340626353746018,1.886201083268663,1.1234798133181747,1.128746608982506,1.4097096968693703,1.1355013310619584,2.0869162901264637,1.364367088735794,0.961339405443102,1.9400264643188294,0.8090029203675121,0.7930201467158053,1.1698465493473544,1.3440415904692546,1.0092710748098608,0.6519499944501096,0.7455908902659459,0.7776852170874119,0.6974615516708381,0.605204544885983,0.6211953608169748,0.7726034279386865,0.5962338788448847,0.7231466171010924,0.6590132506673219,0.892481611714929,1.0835593773134216,0.8299077420056816,0.956294028004161,0.6253248411804547,0.9837189925115544,0.6057799647908522,0.5688241205948232,0.5878475581383643,0.6340832586881454,0.5978413250354334,0.6344315565216859,1.0428276788759792,0.6753705014962392,0.6847805203228934,0.6032445087074819,0.5749045981859867,0.6546895473812167,0.5834842443581544,0.6018467149866604,0.5578266452081796,0.7346043755945697,0.6280752142305415,0.5565694684885223,0.5515347611205378,0.6257622918070448,0.6703614507267508,0.5952593249772784,0.6102971164251468,0.880867672669436,0.6380105169818566,0.7693602386923692,0.6375426802417258,0.7406739694090102,0.8444162801070708,0.7769598610675857,0.9699193068653906,0.8585772344371377,0.837765455389225,0.8212547349746101,0.7584752616248301,0.6556956709063818,0.5867653010519164,0.5931276009249704,0.500828939079391,0.5225016884960344,0.5550080175789776,0.538364592955111,0.6883973359394358,0.5383683792388161,0.5645494713926548,0.4985631274810527,0.5368879623476318,0.4830984437931772,0.5118156839921211,0.6187333653731643,0.7180108560919771,0.6635403099750927,0.7712286134964519,0.7759069551422496,0.8757284371024054,0.9610346036770253,0.8461863410403723,0.8304624540925317,0.7464831730299561,0.6854697288732423,0.8243903797392338,0.687914045239428,0.5885668939024394,0.5586033102570055,0.7056135199491276,0.8263194747312987,0.6181347143719332,0.6000489328000316,0.5965882017385054,0.519384935959583,0.5305907222455212,0.5642805900313036,0.5618568580201598,0.5770972512828182,0.7022577376255914,0.693619036691637,0.9774113457728928,1.2974184645928715,1.23864717919323,0.7302888787510006,0.6206666869346725,0.650674668588697,0.5877570512950508,0.6798362825667067,0.6339329533033156,0.5716337249609726,0.5791343591025739,0.6119570395886303,0.6817770676909278,0.8028728645713502,0.7797872541124903,0.9580987336193321,0.9705579686567469,0.9051516366876863,0.7613549270787611,0.6742053966466751,0.6995600906954378,0.6830449469202915,0.6247277806929754,0.6674352435749198,0.5969619238697864,0.7760198642435677,0.6428357296090423,0.726352854644343,0.6910656844695654,0.7424939595840504,0.8094108101912123,0.8622573940967356,0.8011853733897057,0.7714380156892846,0.8057275191378345,0.9234398636176929,1.9335663869062774,1.0638596560704767,1.069362054594264,0.9740451140443913,0.9495938820667946,0.958810418792893,0.9330548995182485,1.0416516503867308,0.9846577144366961,1.003031649742575,1.0087568310723631,1.0148775077201126,0.9480312765057346,0.9212578976542207,0.9092337140876497,0.9421933047237663,0.9325961297678032,0.9297249141636086,0.9363411775121084,0.9684132611850202,0.982494493783392,0.9510600529205087,0.9605151609523291,1.0257234288498618,1.0858507197790697,1.0191566921153294,1.0979059681056924,1.0205123330717902,1.1720337150045526,1.1119912593732486,1.0355136650927446,1.0170396793664782,1.1350352190274073,1.4619333980898823,1.4120216201814093,1.5526578841693615,1.2285034202229441,1.0488735254872046,1.145906534854382,1.0788520445001832,1.24721048621414,1.058481057084976,1.1072187067155503,1.266351979984687,1.4130490161873097,1.256621994671655,1.260571421966224,1.5096207795829353,1.2983255410005115,1.31557445533798,1.0933198447967885,1.0742528204706423,0.9825348198234289,0.9848094887362174,1.0304593284384616,1.162921618573435,1.0037544993295282,1.0187954955713643,0.9583796077972625,0.9819231021943251,1.006275705834174,0.962485310787637,1.050771409763918,1.1222733646124277,1.0346959126279085,1.093423523855262,1.1860034200337897,1.3215778710521051,1.1567429333015082,1.1870687175513102,1.0935720926043873,1.0665953548500118,0.9949983503417157,0.9918538628396862,1.027862812259514,0.9769674467067782,1.0003164841265089,1.0159959463502377,1.0177138580269058,1.0089624329434093,1.0654631822391074,1.252595160331422,1.121994238743389,1.261072164284299,1.308246252993067,1.4313461514762604,1.3082953698172022,1.251149440128109,1.4354417859937825,1.4097578207522132,1.4619982083576297,1.1643728344545403,1.0623259795048767,1.0016509361015176,1.123752268130544,1.1933977833829224,1.3040570511928222,1.217985093551922,1.1076363822598543,0.9797006252874908,0.9427052713055523,0.8228524627575816,0.9380542815415117,1.1758115774794933,1.0071597205209972,1.459210277818327,1.0741702285589043,0.9136041406283689,0.8420352841517549,0.7022163404257113,0.731892953731904,1.0454788173330378,1.4129299655950482,1.4608567560008072,3.0529565316045426,3.9021197809086106],[0.8172340847192664,0.7983670937165859,1.0220884339474772,0.5997349177383042,0.7720955688384419,0.6232926872109316,0.5938939293461891,0.6128357631071929,0.5719785828889478,0.4684615536277738,0.4551496610278894,0.5781561389459818,0.4951914568373452,0.4372421759204602,0.46032722238496093,0.5019574674407624,0.5188380455302504,0.5348570985633231,0.5949918093434502,0.5907917919788541,0.6484556407485376,0.6697965045224019,0.8846937094773583,0.9143381387170951,0.9436650135761607,0.709419571570772,0.620435324493243,0.5594929302690247,0.5602037359735316,0.557438738964817,0.5292699631540175,0.5545774053404416,0.5532865246524241,0.5344799312016848,0.5653043861155725,0.5819919071867823,0.6036489700126615,0.6375498320628945,0.6127303644319597,0.645451138752161,0.7523600622933717,0.7104520127291755,0.7212582025230632,0.9366958568602246,1.519229312532628,1.8060946006269039,1.970337428546155,1.2158181464501452,1.1715494009617549,1.4888244980281757,1.2000660611166158,1.9469656559234216,1.342469533334608,1.0643007718439839,2.1074970792044607,0.9656137516246296,0.8442161542840378,1.3944972399726272,1.4997081020034697,1.0764764053706415,0.7281264782393445,0.7884039591378756,0.7770261314996803,0.706447176874155,0.6492572286477793,0.6606169546617786,0.7760609998655926,0.5967836628691146,0.7349760977208261,0.6400677623911284,0.9009816221307346,1.082579119398432,0.8219348499188134,0.9810681302285639,0.6148243474721199,0.9652684062183047,0.6081910477733689,0.5774873941096847,0.622632366241823,0.6832397188080344,0.6280304262613393,0.6768512260029371,1.0459700262417102,0.7826927037627949,0.7485498686825813,0.6457467340912572,0.618133416307557,0.6821018531837988,0.6079795518557717,0.6211053567485604,0.5378428519232775,0.7172222364887259,0.6025125743275688,0.500039534622028,0.502081208562348,0.5805998758731601,0.6303479027812914,0.5614331353046383,0.5685002125405489,0.8445005957771131,0.6213502720065309,0.7638285015528521,0.6554945726267026,0.8071292478310098,0.9516983890903219,0.8743908838340977,1.0226738291093145,0.9647654259594518,0.9340849451292488,0.8985186784922464,0.808535289398674,0.7259398964606272,0.5972839442051859,0.6336933715363358,0.523570787348158,0.5589140271722821,0.6009104101119203,0.607919120575135,0.736914637289857,0.5598368291514311,0.5930126135345338,0.5317656018458176,0.5706595194523658,0.5023749429759873,0.5122988044898152,0.6558407357167061,0.774491948926673,0.7367534422398813,0.8770105616369126,0.8864048674575689,1.0026281685135072,1.0815421434581067,0.9669088522499489,0.9356791727794322,0.8615989766938598,0.7839642784346204,0.8932275865359697,0.7497227208401359,0.657484111573964,0.6237149794317001,0.7624144468534192,0.8818799335024625,0.6949500140082725,0.6641074339405845,0.6729234749218399,0.5694953399455202,0.5800956753766489,0.5883280976949136,0.5975256813386508,0.5807249368998123,0.7188718525053417,0.664346504632204,0.9267619139062591,1.2789285280250253,1.212722130446418,0.7209159385787691,0.6057672224666519,0.6620643172555433,0.5961936346794892,0.7122552474964509,0.6954505512590654,0.6269627225103634,0.6549932625432047,0.6934403893833988,0.7528677735850482,0.8848065151955307,0.8609505879055229,1.0324992073380155,1.041387370766919,0.9684565673032415,0.8442240066334553,0.7459481194548322,0.7654941973433483,0.7658085798888571,0.7076887708335892,0.7459402374791133,0.6511761344469804,0.8408679076106752,0.7310427477095397,0.8236670617887789,0.7922547202883279,0.8257196221905093,0.9142281651869146,0.9735586634216087,0.8902112888809837,0.8424349185059847,0.8549527787716216,0.9953526318510995,1.9823421657713445,1.1507917362050282,1.1169092704641401,1.0437006993514637,1.0587035014915946,1.0748450429224494,1.0554003620913852,1.177364640243829,1.1265948473204614,1.1496327341130628,1.1573498163054767,1.1514947785928862,1.1239993007947378,1.0882764372679956,1.0591529441358452,1.117751419152943,1.1221377172973237,1.093946482121329,1.1013167434393205,1.162426989789925,1.1606407802800065,1.1132632512131204,1.1508726014871464,1.2432767985032658,1.2464196008085273,1.2167904223480737,1.3510208054090898,1.253049004001815,1.4021423864055862,1.293064987369101,1.2383249183435023,1.2480517829052142,1.3565043787518711,1.5869703357199414,1.555757189090195,1.5752412304292318,1.4117133312230241,1.2452653121695083,1.3015272595067477,1.2803623397698822,1.4689666942905621,1.269088222428348,1.3097958653418182,1.4973960328875306,1.6095917310346843,1.45254050771973,1.4539230745763176,1.699205653482358,1.4755091718763347,1.4581991123325833,1.2643400129558613,1.2342953722235908,1.1752548394210163,1.1695264592722583,1.199331088538287,1.2970799091657217,1.149793520210886,1.1674118662585635,1.1346641042317511,1.113908885096681,1.136440575428442,1.1166359002935966,1.2001332764661683,1.235149659336564,1.1760538816691246,1.2640268334534759,1.333982630052184,1.4407003956223994,1.3296072387150282,1.3620314656782706,1.2931241180582538,1.2617760743281203,1.1782596191884478,1.2108541831308854,1.2502579596665846,1.1908763269844103,1.2110021767306023,1.2324791335818701,1.2287347078754274,1.1973136060060894,1.2659149172371131,1.446422175384278,1.2819905486896845,1.3977245280745472,1.4770247151372207,1.5589631187304689,1.45921418048005,1.4001331342543704,1.5543868476452027,1.5195698292841875,1.550811582618419,1.3051635121429872,1.224832841205102,1.1468673284559618,1.2258930776929426,1.2944510282335557,1.403794767386241,1.316500073328569,1.2556873561975677,1.0918877327144054,1.0794584238790108,0.9241482208191809,1.0382704348871667,1.2315304557166817,1.0811481798341425,1.4449043156563346,1.157818374208541,1.0023972234506935,0.9372022154476624,0.7283771859055493,0.7738465018936151,1.1916508828068135,1.499654566131125,1.447603861287387,2.9916181847987677,3.7870587657866572],[0.7637875927232103,0.7742929686256924,1.046365961261662,0.5859449420249505,0.7577261534681398,0.6207655177504504,0.6015529718489332,0.6004387026884054,0.5812912171254948,0.5376772011011631,0.5409467743671322,0.608275008535591,0.5541848499086696,0.5525685141662758,0.5759181307420922,0.5899744703833868,0.6063420889072428,0.6389480237903045,0.7205375091663196,0.7100485133471208,0.7883721638666651,0.7860861704624913,0.9790674129447765,1.0420213749478473,1.0452774113842365,0.8394504382696335,0.7343089423198369,0.6682893190201017,0.6494978057222236,0.6160897144547508,0.624908254891171,0.6156528654770006,0.6246758958177366,0.6131569687619618,0.631710916778385,0.6525995466761823,0.651539339294982,0.7094389307826473,0.6799480028943482,0.6870851468396512,0.8270968475502807,0.7915794767879795,0.7892437829821832,0.9770247253162743,1.5557244841747817,1.8447918926561542,1.9871527318457647,1.2254745113527763,1.1823512174652244,1.4945850498438793,1.2156868406358874,1.9923416153854556,1.3679130293297233,1.0616439162931461,2.090645746044339,0.9747043711440082,0.8790748210581573,1.4317456369895714,1.5339825578839,1.1112583185805087,0.7963111228055834,0.8896462577990727,0.8676371211514804,0.7999036914215094,0.763572619960362,0.7527591266661523,0.886280742494675,0.7155835257215674,0.7971548114824282,0.7646240125018019,0.9857825499030118,1.1654401577366311,0.9127517221882787,1.0074116753670166,0.7636276096443163,1.051570095579384,0.7196141109004819,0.6865271223883203,0.6987965137548731,0.7396549377874846,0.687424510335791,0.7102169339594254,1.0293815477054775,0.7797206820624792,0.7750765953001124,0.6788599962098028,0.675821925329199,0.7027672906105212,0.6762832440850154,0.6850930225348973,0.6501336766542077,0.8224753450762221,0.6890034201962365,0.6039192414150366,0.6074449050918509,0.6796116042129696,0.7365209306910384,0.6294038160460308,0.6018206655162165,0.8435992216218967,0.6412767345717482,0.7688755639332026,0.6472084625211126,0.7793305093228627,0.9264059317382746,0.8574472736266141,1.0079406984794441,0.9315138402003386,0.9069060371013564,0.8748528673914453,0.7755947401709985,0.7208118734948191,0.603417767803268,0.6557770178943055,0.5866452214480108,0.6396763709271843,0.7264833130236698,0.7540064827545764,0.8636436704244443,0.6775051671187423,0.7275976595834727,0.6482810751553858,0.6755409173065635,0.603798046890495,0.5738269933260564,0.6785828127293889,0.7559082562859403,0.7342393058189155,0.8662710800704455,0.87136841609282,0.9877890638761448,1.05968289043503,0.9429178856417753,0.9171382490630041,0.8469712587065323,0.7848690215025255,0.9004374196539304,0.7797110695448022,0.7555210012854602,0.7188005164508093,0.9374011778000639,1.0315901471629656,0.811063734773096,0.7508988531682981,0.7380715512525444,0.6335113149349291,0.6400756115396419,0.6202916049651508,0.6089009371804452,0.5878260288267521,0.7124659972028837,0.6464056695709356,0.8963228809407549,1.3042863195568697,1.2417027403589354,0.7182509965060735,0.6156368019598712,0.665554770111756,0.602243309169169,0.6900326298071988,0.700085430938476,0.6594701305764238,0.7074239378105855,0.7361901193981433,0.7864645514323915,0.9178878561011772,0.8822493838088656,1.070400804673543,1.07548491480441,1.0222287290810157,0.8615751861914878,0.7839010249374013,0.7899151750359795,0.7665969318933079,0.7133178187676905,0.7388862155292201,0.6621076249068903,0.8284650764811446,0.7364102964844018,0.8135872617785048,0.7805207379910803,0.8070569153592655,0.9011344574121131,0.9561806250430703,0.8824938663468048,0.8312824823148529,0.868983649200183,1.0101553584399472,2.021165703361786,1.1456510986871467,1.1106199535118038,1.0690799844125807,1.0622831691173915,1.0702269742195596,1.0307827449606473,1.13469026353786,1.0937155784795727,1.1252454792967208,1.1447020775518024,1.1653305641452694,1.146741490697513,1.1250278399386604,1.0812487331512692,1.1406189913045324,1.1761764768284082,1.1462132834785506,1.139679605705154,1.2224603382309784,1.2401060133811728,1.1979240186806104,1.2625527620578172,1.3653745883531245,1.33411259740362,1.3562569739474266,1.5371383361888715,1.4395130073946854,1.5588541076422682,1.4149206206207898,1.3679750292126418,1.3751750768200441,1.4808940876365457,1.747207164688435,1.6105924150191693,1.6112945028164087,1.6021973092317683,1.3408860809700525,1.2966725523870508,1.2978269363802595,1.4430558879443451,1.3069329901720115,1.3715427065954813,1.5524745128804909,1.6438278355468252,1.475177224503434,1.4351809307506636,1.7007005071540011,1.4878930889724575,1.4392032712342389,1.2726453607022197,1.2473909867072785,1.1677575327211827,1.18525821593453,1.2121868382496013,1.2959065530897573,1.1796806877504509,1.1645901445369513,1.1967987693622912,1.1775513993840818,1.1483562482450806,1.1616144268272277,1.2288351511716433,1.2667023189227888,1.2184641235337155,1.2991003971461292,1.3651778975527624,1.4473269843315166,1.4002180809866853,1.4254920124554915,1.3984072547298634,1.341224329150513,1.2487434618412552,1.2868329037887634,1.3422725652108953,1.2775201911090475,1.2805467886546802,1.3225494837782268,1.3285780333842119,1.2506521096485634,1.3195800031733063,1.500323404177806,1.3227024766998885,1.400179322857328,1.4613132441810472,1.5741472817732665,1.4684141263082047,1.4025901448743743,1.4929247338835108,1.4466693324235202,1.5585295230184106,1.3244438336810354,1.2790279527616282,1.2268620376658694,1.2301800676182537,1.259828255321502,1.3847470401640853,1.2818149227180702,1.2641234553527996,1.0943306306012675,1.079097455250383,0.9256839265328896,1.0372632124954835,1.2584886949707765,1.113950045549998,1.4905077390792667,1.1839473368525968,1.024981696504509,0.9305838436234316,0.7135131837981938,0.7490993162323634,1.2061149234210606,1.3501491841940028,1.2377524962451394,2.650357958381717,3.2477339534485123],[0.8465588981811741,0.8686986429829376,1.1258017307792079,0.6840228473830736,0.798720489737896,0.6881995313647152,0.618554089058108,0.6221768469940324,0.5797759632123244,0.4359943151782827,0.4323525759590684,0.564593417707516,0.44624510872791084,0.39083284114650424,0.42849273584490055,0.4611789171183805,0.45354698164726376,0.4639980950794897,0.5434389281075724,0.5450809377061693,0.6271868642529137,0.6550323574966757,0.9114930134228189,0.9459867913661837,0.9396922410611375,0.6887730301675229,0.5824302208163747,0.4907967430664763,0.5016253054638404,0.513438237122633,0.4703668135841137,0.5195031453551492,0.5291580292046552,0.5046874710335285,0.5068911229369506,0.5169342638551424,0.5605755767893028,0.5829454140447747,0.5553592397010944,0.599825984076521,0.7151752942748826,0.670061779404328,0.6931642127789117,0.9141888502404512,1.5168689062395733,1.776831899408565,1.9848666398576729,1.2065474921983304,1.1385961507952433,1.477973190105327,1.197751196750968,1.8896456935212145,1.3038081517242188,1.072561271854697,2.102489089567169,0.9437798067379305,0.8054925326984042,1.4534639146122277,1.4830151858339802,1.0592706589717633,0.7069497477665794,0.7281278627722867,0.7202937365746186,0.679983385516174,0.6507072425880268,0.6238642905408852,0.7262729060078756,0.5316059563400881,0.6494074031356682,0.5608535408762177,0.83758196660297,1.0141423353836474,0.7466554819972221,0.9201227865409685,0.5651811008494897,0.9035538139267163,0.5348292998477043,0.5039936398482262,0.5444234282586916,0.6240862303718412,0.5855394931774007,0.6112746561266222,0.9775023351938223,0.7469992314720629,0.7179487067917897,0.6020559999075286,0.5445821270375446,0.6369114831190573,0.542514785938656,0.5713146295051643,0.4992590868551485,0.7127517098026872,0.5758214016448071,0.47111836658024353,0.46036119177724516,0.5683974635960602,0.6015888723940866,0.5396659665384804,0.5436570890688164,0.8396127226570558,0.615111120500042,0.7998843457935919,0.626197378946614,0.7833946318563006,0.9480974212033967,0.8569703876756609,0.9960728796605349,0.9401813015042201,0.916161708748381,0.8776136975416033,0.7745742170330413,0.69810175217478,0.6044659826586842,0.6098036948128094,0.4626374051595114,0.487450270633979,0.5261412437968537,0.5482184892455553,0.6863968358327203,0.4973539124655131,0.5195657607768498,0.46879481389712613,0.4913105070288081,0.4290756395110879,0.4559168546066308,0.6260908541732445,0.7496607849111427,0.7272480416368764,0.8823204160232208,0.8955879408655272,1.0038505476521684,1.0683853655164375,0.9463428416167778,0.9028213340073383,0.8364875876594537,0.7549520355348881,0.8736198222716676,0.7206065009620362,0.6131175199105002,0.570191889212475,0.7294877199070093,0.8981642410092586,0.6276264105003567,0.5789108638068006,0.6162996866573558,0.49927325400088973,0.507078206119146,0.5476286294150355,0.5695557161350376,0.5623848732034791,0.7348231631011674,0.671525186343114,0.9058873547513032,1.3569739629705408,1.2682458867080446,0.7229656040455815,0.6044294953145547,0.6736219274396726,0.5726603405966552,0.6736756678368164,0.6518249073104144,0.5844811396481568,0.6023088177527287,0.6448371850137797,0.6924946166305396,0.859462645150858,0.8265696851577521,1.025456878365418,1.0188628282540944,0.9358107490579324,0.8065783453928703,0.7104042344561261,0.7229346939373796,0.724330951859919,0.6602919140083511,0.7071659011595213,0.6168306953655389,0.7977485696657777,0.6955585341645764,0.7797406615267656,0.7560253829533828,0.7929523174019342,0.8866590274609476,0.944391018146313,0.8539663179119082,0.7958129360180534,0.8104540751477978,0.9856780449475823,1.9043916236291383,1.1522413357133996,1.1303844836416,1.0536325091232095,1.062150293073735,1.0779046311189788,1.042827764424646,1.1473833690239936,1.1135396863377947,1.16371260526216,1.1689116248052753,1.1893755277018438,1.1501851035640536,1.1285231389580768,1.0979345451424682,1.1368147516988172,1.159512150163399,1.1430494457976605,1.143125730670658,1.1882831664503988,1.2086575696685495,1.2023188144233559,1.2350363435689597,1.3093674386813747,1.320036005628911,1.3566067179033479,1.4713065776324497,1.384839923006822,1.4710732370451345,1.3158546543439436,1.2997055415990024,1.286680386663053,1.4138861274895473,1.6383218387791907,1.526381329618068,1.5445601266119255,1.56652326481427,1.294813165877784,1.246199778774991,1.2647827549702542,1.3830662589528533,1.2631728446760102,1.375848764518369,1.5591519377329128,1.6177741736640259,1.4707034907209748,1.4351945121998901,1.7241589896018417,1.4900938052610253,1.4391300062767736,1.271793285283819,1.2702670184738258,1.190860129731243,1.1711912972751506,1.201353116491899,1.2732356354583725,1.1704688185695482,1.1537965573668325,1.1791894674446532,1.1573660236868153,1.1420827991586142,1.1388012271181442,1.1950187311708365,1.2429894226847276,1.193734507783267,1.2514139830370261,1.3184410375021014,1.4204056579241107,1.3505446186509793,1.3635505348699513,1.3330792995711802,1.2846658268138205,1.2077210699026535,1.2424751088512627,1.2695742750970258,1.2265227712522773,1.2373572866954434,1.2533065117422892,1.2594006663162627,1.208813361918117,1.2709128990279501,1.458303802223647,1.2600584163487718,1.3513241531774087,1.4175855735647271,1.5297345243800036,1.4222572470555368,1.3305620396376976,1.4290956075252277,1.381419666484883,1.4308578264751406,1.2572164932856977,1.2366966355027995,1.2451231302125816,1.2305130917371019,1.210934372115931,1.334677202987368,1.240598870558673,1.2374219424119552,1.105826413466182,1.100618994832336,0.9529015114365899,1.0303127883773984,1.2699859811251346,1.1073498119743885,1.5327296251160885,1.216777605458102,1.014978782624871,0.9310714079480531,0.7656227088323934,0.799606122924573,1.2097624580807975,1.300341684950434,1.1587907924257852,2.375467161862939,2.9431434653178825],[0.740184955170506,0.7800061794800447,1.101828375967821,0.6433650684676531,0.772865204230689,0.6854698060312985,0.6463192127073435,0.6417650741417639,0.6185891806574332,0.4962591501964409,0.48155808691283697,0.5809137050309968,0.5050981287700148,0.4363564034457151,0.48529807631134003,0.517336984136675,0.5191648389993613,0.5320344760105661,0.5877919632183762,0.5801679662131689,0.6504592597782105,0.6876898159258491,0.9348525571763207,0.9524956950777026,0.9450609109923087,0.6917620682786325,0.6219891628437886,0.5352607413478746,0.5613731305716437,0.5607446288513147,0.5278806328124073,0.565590109814626,0.5624914696206706,0.5578335395527346,0.5628419179657675,0.5787093282343534,0.6104957604298965,0.6539091112865159,0.6156654299970888,0.6500343313058533,0.7608762382051816,0.7197004843402828,0.7536146496271309,0.9618547581221846,1.5443186862463298,1.7887072106558872,2.0075859813015495,1.241914324412317,1.1523339392067693,1.4877954198475074,1.2248715074197527,1.8397514235973285,1.304404469864848,1.1059249469498573,2.137327009213266,0.9989778250651252,0.8498037861381068,1.5419251155571685,1.522202253686589,1.1066404135714165,0.746971757057158,0.7366835372591519,0.7171408041744919,0.7140214956308545,0.6844258173132516,0.658183134224926,0.7357783884908671,0.5715162397781074,0.6746355051693769,0.6176794486050272,0.8811915697354912,1.045282109060255,0.787697041072927,0.9637726616484825,0.6044387169035034,0.8802727105325054,0.5878884161222294,0.5575927205638577,0.6110338605399538,0.6948670536156613,0.6360189792962615,0.6599316625515783,0.983647840739426,0.8095499708742767,0.7686567952220936,0.6615654287865808,0.6039706987457183,0.6791936901725106,0.6042098278749496,0.6330038236604666,0.5564275322198299,0.7486341949945641,0.6157375061755743,0.5273677623838611,0.5160646280478974,0.6019030853842148,0.6457640922942166,0.5698702191632169,0.5688925737459803,0.8036718049776487,0.6356796853490725,0.8001251050106023,0.6538301665061733,0.7863034788016439,0.9727673512339422,0.8747018226382156,0.9580900089205935,0.9579911220088798,0.9143439442783653,0.8712450439469712,0.7727685983747166,0.727154975143967,0.6362645999336558,0.6452420072913261,0.5186309696637301,0.5313927212180707,0.5507889691556386,0.5718747319029595,0.6840971825180083,0.5341660652653706,0.5536773997564799,0.5105005622894884,0.527963716240792,0.47099720198008954,0.499195392401464,0.6523159955754682,0.7330032977874394,0.7567110568633827,0.9047456231241789,0.9256045567092656,1.020647687421074,1.0713238086921726,0.9662204123749997,0.9195315918849947,0.8686212037080575,0.7932214546528463,0.8914723905110385,0.7626880951949562,0.668575636281523,0.6255244395970453,0.7428277990116302,0.9188619206159805,0.6484373298066335,0.60592481639126,0.6592458506833582,0.5575529318846709,0.5578715623920352,0.5966076878526337,0.613685922230197,0.6130909177444835,0.7453598142213091,0.6847860269771344,0.8763983805651352,1.2836212090747379,1.2256900339710457,0.7282996384009497,0.6241908427231769,0.6940442796762105,0.6081275335555009,0.6960358924983034,0.6980114600933354,0.6380819703886478,0.6556932848589626,0.698159667112805,0.7264533953678368,0.9086010074687975,0.854751420428186,1.0331957922474353,1.028464795028181,0.9436756361344202,0.8296688852934037,0.7419040593183552,0.7556662268702045,0.759604355302408,0.7067638960096232,0.7522961985284672,0.6685311342492849,0.8247950870086654,0.7413582873915104,0.8204623366155616,0.7962197614705536,0.8265869530987796,0.9243620039275854,0.9790345678483513,0.8815979817917348,0.8283317528044205,0.8248572163535263,1.011558758832662,1.8703087669540046,1.1779963392300643,1.1542169970508735,1.081388269263058,1.0830799520754888,1.106927909177646,1.06572209356564,1.1578598799523052,1.1324426397642835,1.1686991096913895,1.158701718743432,1.1857417386740847,1.11249836414445,1.0899233905886934,1.0721557444159704,1.0911361243019808,1.0992487250670844,1.0833914265978328,1.0986433404427234,1.119408761630556,1.1166420422357188,1.129256719234731,1.1553547466772887,1.2006631227680358,1.2164903777132323,1.2782261673900888,1.378094630979167,1.324813780610009,1.3523318195104013,1.2131614821198304,1.1886752506696678,1.182478954554277,1.3260820105214224,1.5401004682196802,1.3949572796308412,1.4078205460956912,1.52668137435966,1.2266550332644637,1.1755265896719127,1.205758762218506,1.2911646958796652,1.1880994562346257,1.3326706436188152,1.5241613038586286,1.54521649067383,1.4190467161463516,1.414539373054644,1.6951884653850253,1.4721934811579012,1.4236307403104673,1.2305875844440768,1.2705391070956225,1.1739851886343937,1.1226664938810302,1.1708222188515824,1.2074767998366616,1.1466425454018632,1.1270182340500103,1.1219009709404608,1.0965737057043747,1.097079547492206,1.0647646782957347,1.0941676086595096,1.1397159339881655,1.097151941686381,1.1299118401812975,1.1811955983520375,1.3117575147992178,1.2231067536575295,1.2243544595778368,1.2093836122531045,1.168683571598724,1.1116311586929333,1.1692667240331571,1.1564065843143347,1.137419393851837,1.1559624834460942,1.1625751471021044,1.1707010827096154,1.1364900448044362,1.1895638123316985,1.375636348599466,1.1780710506106116,1.2751572696150797,1.3430068051443529,1.4621776891779072,1.347005570997455,1.2345719422642751,1.3256992007797868,1.3162505694026387,1.2830648738446786,1.20139675157932,1.172254987154676,1.2055205489170544,1.2252211348986914,1.1391386059076865,1.2537683081730226,1.1776222992106746,1.1842959481829474,1.0782864354335473,1.0985035710932607,0.9560505665496023,0.975077356122214,1.235155738371023,1.0428699517653628,1.5026801410300699,1.2341798750405562,0.9181683194989855,0.8320612640257656,0.7759726956282764,0.7405829456923928,1.132896558032771,1.1266754790042839,1.1202971233717212,2.111600305165925,2.5552214737479995],[0.7687120477722692,0.8065716916700963,0.985143894652748,0.7297689660187808,0.8555050736834797,0.6962232205309584,0.6182495402622579,0.6101685828110238,0.5912789714581944,0.46136068430436006,0.4514526439423919,0.546309273670098,0.45802052097319707,0.43253295880076853,0.4917590923440884,0.494449003141677,0.4900636315056841,0.49555943906678146,0.5658688092953813,0.5663686835948348,0.6504552127770191,0.683849560287271,0.9391913149643738,0.9439518790953254,0.9437980199339511,0.6977488678209921,0.6023293109282505,0.5120015925040029,0.5343597631493959,0.5358347085669121,0.5022622926531264,0.5182306818064099,0.5194811060702302,0.5150089548008708,0.5099098786119521,0.53884897050507,0.5679746721525916,0.6096653641063422,0.5590464380822928,0.5888194863984464,0.7034009336757558,0.6864391885321887,0.7217309802624132,0.9233795588902011,1.5410775863993664,1.7636296698384284,1.9985672202153086,1.2447928365619805,1.1637482867616495,1.5243467095171392,1.2308255346925037,1.8550137095000123,1.2503712753951297,1.1373815465602795,2.1478095153262533,0.98290627646088,0.846607313794321,1.5325551053144488,1.5121465570328043,1.1235888996339531,0.7763214772872062,0.7371008019784401,0.7269877746941633,0.7117730188807471,0.7007415776089073,0.6640759993190135,0.7431727915498665,0.5510813036328376,0.6680606569680375,0.5921952733423005,0.8516069846075848,1.0258365448207813,0.7689064600020189,0.9604714348856844,0.5942993278967533,0.9388553642928341,0.577141500700244,0.5428225461791265,0.5785961668169607,0.6665848531240219,0.5931592098592159,0.6139480284001911,0.9390642330660501,0.7538768486511164,0.7308330311276026,0.6033745028506887,0.5720588330378478,0.6540281281837117,0.5712063675095579,0.5763359357074342,0.5342385853614761,0.7610658244077504,0.624282846821396,0.5085645115878252,0.48942876754406667,0.594950250923675,0.636431764113274,0.5519909179502435,0.5444083982649647,0.7791705004018733,0.5709975223851218,0.7515483143434885,0.580085945163438,0.7158342872418163,0.8844828112880497,0.7836995837345855,0.8537133962859499,0.8719096769037477,0.8203318383580984,0.7904465760206665,0.6860451464208278,0.6624163298969973,0.6114898145030593,0.6249081185477159,0.5027627749315762,0.510289196401151,0.5318056733882582,0.5529539073538844,0.6891914250360901,0.5152246958440652,0.5341778244465684,0.4959824163874886,0.5015211635147848,0.46224919449748475,0.48657826664229054,0.6408500981082691,0.7232548916898524,0.7152886618281151,0.8285352079023206,0.8564613207731312,0.9355388836154872,0.9578965593569401,0.8685469824404134,0.8325293588962961,0.7951329992740905,0.7211835380564676,0.8396319917072467,0.7269439086617152,0.6125038557939487,0.5634863923060821,0.6856874405020095,0.8922956448160456,0.6338264234378811,0.5949398274478339,0.6388156621967948,0.5205548292152289,0.5294795392985424,0.5764903063174706,0.5695196242356123,0.5734511408963584,0.6913949269727007,0.6374561782895389,0.828206481339332,1.337630696719501,1.318669111637448,0.6986320683061256,0.5851190662432864,0.6318019784511186,0.5607605963202288,0.6270725742864381,0.641512761621906,0.5921880744844478,0.5920532945858601,0.6402475168639657,0.6706460282650477,0.81825483297864,0.7724643894252243,0.9647304806168571,0.9613319625302189,0.8711577891025571,0.7679255406086722,0.6800870811815097,0.6801537088665071,0.6992603483685463,0.6411496472192955,0.6783462621190007,0.6148358023610285,0.7390121295724736,0.6913362619240355,0.7403746458480263,0.7538847218940975,0.7334017202413278,0.814051803698871,0.87119294087951,0.8074038966849192,0.797640367168137,0.8329455745499743,1.0249297390721177,1.9078713844426078,1.1794819305789583,1.1506454498506216,1.0614078919352796,1.018446835032207,1.0335581897978317,0.9725896960150276,1.0678189448691173,1.0461706593930837,1.0694240237557568,1.0549334460394906,1.0938374422614199,0.9921049365858734,0.9879449563489192,0.9784276457545494,0.971919723628476,0.9697631584921367,0.9765667465423814,0.995566094016317,0.9875462917667321,0.9982784080034521,1.0235440438697458,1.031555827375904,1.0775601008764157,1.1224462329359834,1.1713418505091613,1.2727625448221072,1.2284774975339898,1.2247207192839784,1.0904518902152252,1.0510111812929177,1.043023453043431,1.1881485928430668,1.5015730275244388,1.2602439674406434,1.3077333259559356,1.398139788985556,1.078034589496033,1.0578710051893458,1.0753433110833215,1.1597989787574385,1.0592440213078682,1.1931219530727717,1.3778137071532335,1.3982725170287176,1.2758229926741809,1.3163862022821224,1.5552294931427229,1.3618463284170765,1.3696485297028822,1.1164412876235459,1.1578150069076125,1.059823788641717,1.0150311805402805,1.1033011264220116,1.0777152400165777,1.0831052298926775,1.0364856841821797,1.0153652862415143,1.0125643900714858,1.0152760281099846,0.952715134718758,0.9883491442692449,1.0496608808487213,0.995711419075722,1.023081286748851,1.084011854089888,1.2298335211822455,1.1110296285222485,1.1037909373830628,1.079959054367376,1.032242860947929,0.9703001948244809,1.0281875817599762,1.016242937243526,1.0024117355845592,1.022354521705107,1.0166023533552684,1.0312928704853233,1.001950383734734,1.0473064272529118,1.2482361613238246,1.0541360587002668,1.1527736467319134,1.2095497871208734,1.366261705653858,1.2383529937586188,1.1134065809057323,1.234153151227436,1.2578356268519442,1.1868407613740959,1.0762599315171906,1.049682995063598,1.0726767712482823,1.079894581461886,1.0179837134781116,1.1270334552947026,1.0727443371668828,1.0750500487572583,0.9976639872059733,1.0087737745743526,0.8936886516025803,0.9732104205186358,1.0975765602686918,0.9511059613497366,1.516145501883383,1.0856847755155867,0.8903713083931986,0.8098113589982434,0.7366697546974335,0.7745770496284462,1.1215696895098624,1.0840281199015538,1.1905113747641929,1.800590643879379,2.1903997137683815],[0.7044407945541787,0.7092750051868731,0.901092268206671,0.5338141943099544,0.6332060744321742,0.5182381273783702,0.4502811459698241,0.442079842261604,0.46350413783601047,0.3422427694999907,0.34039684841742274,0.4020855968304509,0.3459776797070702,0.33543572988980175,0.4464033739009622,0.4166323225577084,0.4270810667935595,0.4708495955266979,0.6071869950261579,0.6065447051677619,0.7302887052354378,0.7816140518680552,1.0333885905701272,1.080644511792128,1.050386919245299,0.7714148604957942,0.6512381773765228,0.5134526437797806,0.4903856522829803,0.4386745621956364,0.46860411416848285,0.41111961131392893,0.4124652590883778,0.4462773722548054,0.44402007114545994,0.5101887214903144,0.4759776084106503,0.6019820836091929,0.5614866324370412,0.6535858805163388,0.7745769936178668,0.7301908144766341,0.7803137385660232,0.9792253616934223,1.6099736579528634,1.779866830804999,2.088363606390319,1.319888978262793,1.166705727882568,1.5941582295644292,1.3121303603424053,1.8052486866759787,1.2844542760664295,1.2579078624766629,2.2139036184377057,1.059833777173291,0.9252797532537889,1.6759548287540078,1.5381848393300532,1.1798413601396451,0.8525097483835983,0.7846603088991632,0.7914863219368905,0.8247447104667073,0.7978843246939853,0.7237374474253048,0.8022205141530906,0.5677775610638933,0.6755655214793616,0.6293047144075689,0.8536564469601613,1.0821650999877843,0.7922891112274936,0.9836935910180928,0.6150178060992406,0.9835855437399277,0.5982160621987489,0.5586949122917501,0.5971766550218931,0.7002965519070352,0.5588756238678451,0.663886269309226,0.8696138406793184,0.7389396490209922,0.6996490053017866,0.5387438751987402,0.5669326233492358,0.5894221159248734,0.5656874534765134,0.5356211004331035,0.5265311837415714,0.79645686901167,0.6457982399461674,0.49087645375614253,0.4495730549202853,0.577002315420266,0.6171061029574411,0.4473950418887633,0.3951228830542773,0.6139005933707691,0.41635456198555426,0.5720516634409504,0.4251826892109849,0.5492701366002404,0.7784802308063802,0.6421468120055246,0.7135787209784621,0.7891867346473812,0.6894557170199597,0.6519112818558994,0.5477508841850038,0.5071797811841502,0.422477738872476,0.45693146845154337,0.38889022102021714,0.4399657560699411,0.5145620008321606,0.5854653894353098,0.7519834628158268,0.5027782671924155,0.537179909326311,0.45941735237446624,0.4687360350115895,0.3694787398848196,0.35240190024921597,0.44635680649106996,0.5307260097856865,0.5424881937123356,0.6735988753735475,0.7162619694053841,0.8084136941160694,0.8407854735176239,0.7875836226549203,0.7164450517135765,0.7067516330784999,0.615955454517714,0.7418982701029266,0.6585096232593489,0.6050001675517934,0.563990010018318,0.7964960652383596,1.0697416904066708,0.6984215440182152,0.5844615966388844,0.6421876102826763,0.4658048336266552,0.44506558631053295,0.4359406648979957,0.410737543263659,0.41858924062017194,0.5223291047564861,0.48981078989699167,0.7134464361039287,1.2171401151683252,1.2082035384772247,0.5324566493450168,0.4194701199697646,0.44980666228779265,0.4028357694392219,0.4868539962055915,0.5349846148961852,0.4962283349047851,0.5398683644266927,0.6118631841051767,0.6719610999210451,0.8691039699156629,0.8206033494294505,1.0648420715942755,1.011083433147656,0.8908351588132062,0.7537996252274962,0.6569524336824021,0.6482043556735172,0.6079864305803876,0.5399634299132753,0.5594661797001845,0.48465693869329424,0.6041501276222304,0.5880577033910407,0.6324134526919425,0.6541950812077237,0.627690794842403,0.7636944543484069,0.8549644268317073,0.7781630764889383,0.8026202546733119,0.9059097531405085,1.140605139075585,1.9146097052437452,1.2851451479549232,1.2843723639203548,1.1072614799465283,1.059295570781528,1.0498908107195908,0.9577958779478443,1.0678658786656898,0.994809851855095,1.0012489245018845,0.9638702481910282,0.9632739201608636,0.893142094705606,0.8514461596852938,0.8271052463102033,0.8587748121283623,0.8701598570494937,0.85482396654335,0.8818136905068736,0.9193540958448286,0.9223227253302128,0.9552928240886617,1.0079985082731777,1.068857993090838,1.0835665536182095,1.1779801746014489,1.3160581971357215,1.2603203825519476,1.2845815264792562,1.157857122025934,1.0714784224749245,1.090949651746392,1.246659933944224,1.4525888917059528,1.293434792832734,1.2853695432100074,1.4111133611214117,1.062997355568968,1.0076587927538418,1.048850692006516,1.1493100929093398,1.01026943484453,1.1525345530024966,1.390674982760539,1.361957414899006,1.2214954190898264,1.3046827173993716,1.5946341816072167,1.3625040230989909,1.301600307541196,1.0396823519712022,1.088459756478101,0.9926610633811529,0.9214834486364389,0.9894815293160135,0.9856371914682212,0.9678836699972978,0.9246318333067169,0.9292996742349701,0.881272392273301,0.8835331176600573,0.8364401003282018,0.8784964779597345,0.943367744185849,0.8943561180929245,0.9451512894385584,1.006424782602278,1.167820809516692,1.071168095855714,1.0715336666518558,1.0501784837302843,0.984639292641808,0.9024400381703073,0.9903240353234392,0.9995652102563495,0.9565732599417246,0.9647612871325997,1.0174088981122282,1.031945422591204,0.9602070115403541,1.0602863870994808,1.3048778776376735,1.0485903922553834,1.1367808578397152,1.2589183858188717,1.4039631641376207,1.2576305438027022,1.0955818454672757,1.3265550932124246,1.3195114817819296,1.2403793843801334,1.1258551182934053,1.0269811923954328,1.0430918366338007,1.1064883075621421,0.947893766890394,1.0600679749863793,0.9370093223632454,0.9612237112147648,0.833492116349152,0.8697890182679426,0.7139994727671546,0.7865914825300738,0.9514223704002073,0.7918861718199075,1.3741773189722304,1.0054443876128918,0.7434152304912109,0.6664486362931225,0.614476312394032,0.6385013352778949,1.0575480714341985,0.9794858045775718,1.137303610835297,1.8040247974381172,2.234853865675336],[0.6408348834053817,0.6377488622383225,0.7346812792336559,0.47549174894156987,0.6319603234126514,0.45948685534117734,0.38930498416553055,0.3827624625600907,0.4448065785888216,0.3595645200855845,0.37809689667066787,0.4148351376147772,0.37249286025731554,0.377354637749009,0.4942769416509235,0.4443881851037126,0.46180530347149923,0.5005589654804308,0.6401588459329843,0.6627739966912997,0.7889180764128593,0.8384241287426524,1.0668336233424083,1.11258204825699,1.1049896491202047,0.8370862162859599,0.7018414530148374,0.5684636650455066,0.5199895543188113,0.45845152297535896,0.513052430613482,0.4242261311676017,0.44186478903079307,0.49002667433844077,0.47585800221203683,0.543399076961141,0.4954837605160929,0.6475843687771974,0.601697431443879,0.7070307306236295,0.8098108152114283,0.7583849759697174,0.8000465874135492,0.9723708004896809,1.6130607972899718,1.7627581193328814,2.0855617757519807,1.3329446809752155,1.1734162108969122,1.6240726560304142,1.3278832543952528,1.872141286911707,1.2668712093208072,1.3043684800993276,2.1991433143504606,1.052273253606594,0.9494516418672405,1.6562348737734547,1.5196917177648095,1.2214294174698803,0.912504095213683,0.8316002790297606,0.8557806572774538,0.8843220865217903,0.8748991063086703,0.781916030427722,0.8628565480956704,0.6167589163488882,0.715381373445641,0.6685549509194664,0.8607459067059471,1.108925612015837,0.8202865514882771,1.0036857526820364,0.6570968517530221,1.0487311255406888,0.6507006317779649,0.6211646114380509,0.6406437168741924,0.7417202018368128,0.5900710741450365,0.7330442148525275,0.8891333174322497,0.7410841598806592,0.7222371018745674,0.5426085407714014,0.6236548857461046,0.6153442793495029,0.6011072783470194,0.5535767656341807,0.5849963951546632,0.8644362768815546,0.723280738376862,0.5656862125885279,0.5039149334139285,0.6426114676280192,0.6504013974918119,0.4708086201068249,0.3905470336360673,0.5803331787086949,0.385591149253029,0.5141195092594076,0.4121238457921258,0.48517826595920627,0.6819897346133307,0.5517550070703868,0.6187522444733126,0.7080894132600103,0.5716860086674251,0.5951895482146894,0.46223590746773924,0.44717168828607895,0.3707501103505526,0.4265781096313358,0.41441516299555475,0.4764520972731521,0.5516706474746105,0.6302393631590334,0.811661756581603,0.5369147553862472,0.5612607382023189,0.4860122117756409,0.4967074107075071,0.4069799530538614,0.38652684343408,0.4158716406675796,0.46673590839317863,0.4810505883957165,0.5707179174570505,0.6284561445567037,0.6968280202850786,0.707298950732033,0.7063619934867161,0.6286050363089732,0.6437777458443925,0.5739678587692606,0.6908911075388464,0.6461567030983866,0.6040859571034037,0.5861392815070571,0.8395207681203978,1.1509546415702845,0.7582551195150876,0.6355023670578284,0.6754828897889791,0.5038602029989291,0.47595007652774524,0.44498042795072446,0.39044105410724617,0.3945032328010957,0.45621437634918216,0.4618266081760236,0.7008043467276386,1.2227274361743998,1.2473038393651945,0.4879198234986472,0.39406035160562985,0.37873353889997635,0.38068111119576475,0.4505061223038615,0.5297319321766716,0.5034041722503795,0.5536953279847779,0.6310846230648753,0.6943088934463657,0.8475351985931585,0.8228571995682261,1.0885295136485629,1.0144588843605205,0.8959432510006796,0.7510195712106157,0.6611635785814378,0.643026367442867,0.5908353812356397,0.5190049232462404,0.5152386448824626,0.4643922269533361,0.5505670628949361,0.580066899437384,0.5908658196035461,0.6472632672247776,0.569584820653911,0.7018528822058858,0.8097824480645879,0.7679398682866695,0.8472513908394447,0.9810893874979383,1.20753277134246,1.9335845268822553,1.32287772463282,1.3388742376069418,1.13904655060547,1.0747929002709085,1.0361471649043401,0.906351957449487,1.0045310101199276,0.9108732594083504,0.8869785294397479,0.8243383251851175,0.8294383246156876,0.7185745131228938,0.6805252992721652,0.6617560356107731,0.6736178186516213,0.6696029751815892,0.6712464742003421,0.708064942156368,0.7293002691729785,0.7364411883975054,0.7934442303932275,0.8414026679843579,0.9012751715068897,0.9370157233052068,1.0271618609276474,1.172163043024853,1.1306083027983935,1.125968614845448,1.0052980535691343,0.8880620844956636,0.8987486095779318,1.0627655162237717,1.3948635114445314,1.144028835751586,1.1774203711825755,1.2534404612311356,0.8708848309738653,0.863560569615343,0.8922995639292257,1.0047912872913716,0.844916389487847,0.9687913988873471,1.196335775355287,1.1675142175390176,1.0388127917513827,1.222920507085683,1.4463256794026638,1.2200421438499653,1.2255327688841682,0.875809043154926,0.9461232030123738,0.8472496083607546,0.7745532468282099,0.8977082990026893,0.8351409613749142,0.8777546062931683,0.7982177510723565,0.7626418343688565,0.7343204137694206,0.7476205130709547,0.6539932175848941,0.7122321552147823,0.8123901530665166,0.7367061176337644,0.7719818241312144,0.8600902175207832,1.0500200804518094,0.9024790195523859,0.8881772114748033,0.861216894106147,0.7789457175169104,0.7005355456765636,0.7926554212059892,0.7990368690993078,0.758553545214314,0.7699338993206207,0.817109398170681,0.8401774436833541,0.7712066611242047,0.8772395253412569,1.1387548846875644,0.8862551290283731,0.9923372639503147,1.1066158377703146,1.2934257116990997,1.1367399891218544,0.9622803105485989,1.2428557604730286,1.2623529456638372,1.1176192287294735,0.9951031596934616,0.8758971478317394,0.8798985685946906,0.9682569119309334,0.7942928484173882,0.9232226120124708,0.8074006756057214,0.805111792529652,0.6924455148124004,0.7258744163951661,0.5935448378669201,0.7030828876149544,0.7673974913061052,0.6286845283687469,1.3627463847893215,0.8256133080511314,0.6170833474646338,0.5463442544656281,0.5167981637722469,0.5712976146344075,0.9276601632017358,0.841033344243975,1.336833817691869,1.6842823131401357,2.0688798182343406],[0.5351067698363752,0.5566672484469232,0.6540746297477125,0.43106984071123194,0.6430665947855505,0.4304212187901248,0.3770152229227457,0.3661644430581576,0.4196015029008367,0.31878786052730207,0.32342634418190974,0.37748852854760034,0.33388377551319387,0.3248236530634828,0.44784658624140633,0.407839440075606,0.40623036580700717,0.43496665837752524,0.5514022197552225,0.5534765820412825,0.6488218044028792,0.6920043449837234,0.9386224067267787,0.9544636530862446,0.9582862519034444,0.6957268947646505,0.5979882048232045,0.4762422691021272,0.4590342509751359,0.4170803944578427,0.4503057689586315,0.39603769168115,0.40418831959273976,0.4334159828918889,0.42385756369195454,0.47686377548858977,0.44825515891809997,0.5814079303231202,0.5221471142933543,0.5918115323743478,0.7149624920371818,0.6720937709127917,0.7094589348517785,0.9085256583974795,1.5466234185943706,1.740353358970462,2.0035607780413462,1.241654187388246,1.1143272520969056,1.5165886562699804,1.2064376941343724,1.8509124150781484,1.202749642190402,1.1743307966510517,2.14966921432526,0.9567584699489685,0.8223503136584215,1.567758328741943,1.4943629551036446,1.110868383393668,0.7712413436256911,0.7177678446414453,0.7247966103408966,0.7406421966346517,0.7140734976548782,0.6545024674750608,0.7287117844159521,0.5166846506522174,0.6259347495432006,0.5936923739501637,0.8263758919130312,1.0484096722279186,0.7587890081017045,0.9374972904761352,0.5817051133674248,0.9439425526850641,0.5448557124252856,0.5154242778499046,0.5523679251801519,0.6446557085572849,0.5171282087790608,0.6266823655976946,0.8851821345273694,0.6842688399287609,0.6759838283327085,0.5018648756236271,0.5346183436516886,0.5634730226166639,0.522154464386227,0.5092529415243413,0.4965832928699304,0.7731408091990897,0.6257548882823776,0.48184556955280683,0.4443807969335815,0.5864762649346981,0.6207831434063975,0.4388454309296839,0.3726759793975872,0.5637610591167133,0.37746029743421766,0.5252821270771137,0.38709726255618715,0.48532293931004294,0.6717910340783527,0.5653182656420104,0.6224124995052904,0.7034746691511389,0.5744439111415902,0.5945732932346814,0.4738492702789216,0.45399011519217475,0.36312086022933,0.4198986279045182,0.36807379686265107,0.4162502357417659,0.488434040293335,0.5424166921141579,0.7046243501168435,0.462891612363173,0.49860655196125653,0.4343424535008623,0.4392750755155972,0.35073566887396984,0.34750575663534655,0.41411449204037243,0.47647860528989144,0.48752536169224975,0.5752225292526415,0.6262483558104691,0.7029581169507385,0.7065380981938877,0.6906899365158176,0.6270753248417613,0.63530607845526,0.5691213834733735,0.69540451301253,0.6266170290641107,0.5614040713413818,0.5278622677646568,0.7551822698226356,1.0015182967526177,0.6423705739798282,0.5632711868585842,0.6034075060003444,0.44433636085316974,0.43056545233648164,0.41931749047193834,0.375233585048958,0.38451302330795833,0.4604171916668047,0.45096932063138595,0.6906552414858236,1.1814401438385789,1.2150629722843929,0.4757154407256176,0.3844926507143651,0.38716508496041907,0.3703162555351255,0.4392523777433922,0.4963366116754577,0.4725775139073812,0.5058814567045329,0.5679283729964989,0.6183786960056318,0.7900991479655817,0.7461518280598809,0.9882413630185374,0.9462545257309063,0.8487861873973408,0.7084402548394592,0.6165571825660928,0.5981625837949437,0.5627394005581658,0.49224033455567645,0.4993744065837044,0.4440220609443905,0.5534868447155719,0.5551811247503166,0.5736085706353505,0.6055980522488998,0.5522665120048134,0.6678701151227375,0.764257973179481,0.7224576516953033,0.7673182135206601,0.870236813490894,1.0585511687692388,1.913643540127584,1.190648630992416,1.1936266585094253,1.0594386553688087,0.996260309694835,0.9777593229477323,0.860414477019711,0.9583640588673523,0.8881321345587772,0.8659035267510508,0.8069372083850207,0.822283222856183,0.684759872288737,0.6523032148446369,0.6419412445480173,0.6282224650344193,0.6070711139637442,0.6145241808200391,0.6443194301238785,0.6405967248768724,0.6542511684366543,0.7146075751401222,0.746183254969934,0.7936824846535294,0.8405936460584201,0.9355674751850214,1.0608700861678617,1.0428722104470156,1.0068288669784011,0.8801098694227248,0.7656551429257322,0.767969927119287,0.9327209304884773,1.3716965428577441,1.044337259465911,1.1355217418937265,1.1606047221640983,0.7906775014328656,0.8273732679370415,0.8419157934571442,0.9577939533483117,0.803241162792977,0.9037437160447268,1.1086556911314016,1.0954831314744753,0.9874744927782696,1.183868527348863,1.3685517461584622,1.1577214060227878,1.2287362103205846,0.8460526633890355,0.9167096242171395,0.8116939115850554,0.7421634902717248,0.8813757855429634,0.8040603559477872,0.8785786766312562,0.7806767389752636,0.7318472935414372,0.716048734410759,0.7372260885737638,0.6079385596015116,0.6571771304800378,0.7693196743781444,0.6791956195366032,0.6975024739406573,0.7816361301431444,0.9959840680798195,0.7983362595430384,0.7772821518089031,0.7491118041489415,0.6846313340306993,0.6295660294001949,0.7116929673946851,0.6989736909958669,0.6697911456908371,0.7030611462435566,0.7170856472079326,0.7375486054943268,0.6986602699202502,0.7913955335744532,1.0286536559363137,0.8038722372940792,0.9359014050414295,1.0102362463851362,1.2174325021452708,1.057102379111823,0.8910846663691252,1.1804562009534556,1.2465850095578717,1.0004080623001612,0.8995163468473849,0.795056734061355,0.8000904724432669,0.9114682351585129,0.7316634439594492,0.8558806525258695,0.8073842739429997,0.763603222896889,0.6750345819008279,0.7186838304041974,0.5948365411093487,0.7031729534911044,0.7375995261146359,0.5933663228322509,1.3510738208490254,0.8049151522569016,0.5833190350846117,0.5064273226562089,0.5042330354947147,0.5452669823090456,0.8834645467213759,0.7567617254305454,1.396524362729176,1.6728723802559968,2.0301096088690604],[0.5648226811193713,0.5666365774574313,0.7372391048003438,0.40010277053713295,0.5533692485817941,0.4403568252090949,0.4473501046787513,0.4390946180866546,0.468400712458998,0.3946422356493936,0.3932752053057667,0.4343134012846452,0.41964299769234237,0.3904402268805905,0.5029751802241559,0.47851319171207224,0.4876010011442559,0.5362980964399574,0.6498015241803557,0.6206637461968393,0.7244545408167636,0.7700360332882873,1.01128054123606,1.0465638729488123,1.0155637320565754,0.7537876042940923,0.6643573519758076,0.5519150063022263,0.5481294581574775,0.49381971480640935,0.5253562346825731,0.47874240222909537,0.47754712969932556,0.5037788497340284,0.5184390550645718,0.5680833666751371,0.5429228474373509,0.6599840367826023,0.6114861512081363,0.6728085688671673,0.7841346998222912,0.7467579949721238,0.7982962157004138,0.9924600936933626,1.602572695835082,1.7826594575757784,2.0573862412321073,1.2988812385278865,1.1419220924563682,1.54309891914441,1.2777259348097745,1.7718505438872674,1.2768725278451523,1.228967132250507,2.2133395890674556,1.06615657736905,0.9122850388693585,1.7061317560477756,1.5640827422268038,1.1738599992636196,0.8324589253737684,0.790284148054411,0.7821334726759654,0.8037919458944175,0.7773664220809182,0.7286867619668834,0.7864442641296496,0.5998331377513328,0.6909417678402687,0.6670377150495422,0.8902035122132453,1.0927793753359545,0.80790614911101,0.984210398626011,0.6484828434348627,0.9437791234239014,0.6335034981688927,0.6045893506868527,0.6529230493907877,0.7423341183341415,0.6053468433253744,0.6893576316355742,0.8860480862740222,0.7992208124561146,0.7418655847612028,0.6048801101088898,0.6029672946212162,0.6235022473354649,0.6188473931424886,0.6139233098188532,0.574272980746697,0.8165131775614891,0.6735798897620092,0.5332016837826997,0.5066491821960655,0.6076971131150298,0.6571143100061577,0.4854101294598589,0.41900850364665476,0.5731510581337954,0.4529844349912807,0.5780425068864113,0.4788402071185345,0.5594376001873742,0.7998510247789257,0.6386037548150341,0.691006951473823,0.7876720732408791,0.6457604037697384,0.6162032041511879,0.5159752164347631,0.5082872625655662,0.43313038439637147,0.4880754235190896,0.4423049691315085,0.489617849731602,0.5479104767564552,0.604513196878346,0.7451220895604959,0.5460425343609326,0.5786292871126764,0.5019942775393783,0.5169964429476165,0.4080096031852294,0.38464046152536363,0.4663700133496137,0.4828894824626898,0.533556306099363,0.6532547055894985,0.7157892349952433,0.7904846184917126,0.8139617475777442,0.7892781200889406,0.7220292034790424,0.7258831919890537,0.650179541863667,0.7556530928831846,0.692489483219946,0.651175267243163,0.6206196012153437,0.7971773161307253,1.0206935053439437,0.6914138838908831,0.6100992027133679,0.6685361351300029,0.5285548999061385,0.5085455020944432,0.48752339293476765,0.45540471329828297,0.45729964644815135,0.5152009419814811,0.4697606407272747,0.6856961290833278,1.0892401164173675,1.115467597654404,0.5042710480258127,0.42779529225243285,0.4627909130487429,0.44380610635814066,0.5173061879029764,0.5808703713710939,0.5619826839477775,0.6072933648017369,0.667940613384663,0.7103688639957756,0.9069391122269673,0.8435478311616545,1.0608981818350944,1.016587112534343,0.9140834882699392,0.7818400969577889,0.6979053807467849,0.6933205190506632,0.6579363828619328,0.5959425643063405,0.6108205116261769,0.5409648165301592,0.6473631168198821,0.6480610408812724,0.6901463221199122,0.7003248801903089,0.6630344477284447,0.7974704426949059,0.8784873036884432,0.8022114452013285,0.810900810300444,0.8715484499574289,1.0960690232178842,1.860529209692643,1.2492758353172286,1.2491904895729984,1.1000385821595218,1.0630644120505244,1.05972060926201,0.9641261177171219,1.0616181695242397,0.985121363934591,0.9614869833562234,0.8806113044680923,0.8823547541875557,0.7556154393683779,0.7085427210275248,0.6945266138253813,0.6813085195779709,0.666804268053928,0.6637628867092227,0.6819564535011415,0.6933926303377151,0.6950199412137433,0.7626026393765454,0.8078702193573537,0.8472765385243964,0.871646744108045,1.0123992604399734,1.1283804235730066,1.0979752535118412,1.049821411011207,0.9526515576904249,0.8305911059801092,0.8507303114494658,1.0100965332305467,1.286698959727159,1.1004982317121998,1.1319049659551044,1.263885057881216,0.8877333298586371,0.8759358247279768,0.9130477306476323,1.0006639408282423,0.8582446621528353,1.012283180128641,1.23463849605655,1.1729928345144387,1.0754873619457017,1.254907154239117,1.4652566359576484,1.2406421767054103,1.2510797635695208,0.9167239509913676,1.03254593748046,0.9088868558593376,0.7979003646175574,0.908233250192535,0.8519770855525003,0.8951995751089561,0.823168975021438,0.7886336861606983,0.740947173829825,0.7598545820464923,0.6545704518670986,0.6812982359466436,0.7802374182134693,0.6941744229441332,0.7143421905236677,0.7764640972552395,0.9877191378620188,0.8234859426562854,0.8022859433468689,0.7872530279429514,0.7342368342903016,0.6970829292515106,0.7974924129484565,0.7559191332158818,0.7248087663425093,0.7623659839309602,0.7918989209694755,0.8016351250230918,0.7582421482562338,0.8664280874241053,1.099745479630378,0.8444102912633198,0.9779680568654577,1.0751391527391752,1.255844810986524,1.089799218677743,0.9001763191849332,1.2547329247132455,1.305713809516193,1.0348298164402459,0.9756915322122106,0.8361633466097278,0.8867302181293292,1.0310334059514772,0.7742430214102963,0.845080355180227,0.7529474035507672,0.7710804379396324,0.6942458467279251,0.7774027087696145,0.6392489923793504,0.6844699534814191,0.8081002325152721,0.6139755028164258,1.275901081677967,0.9401357403882632,0.6069745938657795,0.5222771445523009,0.5778971130515609,0.5517445552812223,1.0009336080695155,0.798335634226581,1.2608171040824663,1.7214638482101048,2.10581411528538],[0.5530225808479812,0.5581225218955264,0.7064207801723272,0.37874671754352535,0.5495696091186405,0.3985129559398707,0.38483186608493675,0.3817428805477906,0.42024048004265574,0.3731887273953611,0.38272755703011585,0.3988725674343656,0.4100960253151577,0.3948925665207175,0.5399103466033803,0.4959058120363805,0.5075356405028628,0.576293928877405,0.7125225921577959,0.7162465098379986,0.8500814055954259,0.9092324592346612,1.1303321009921272,1.186127908844597,1.1516601895666618,0.8703541700499545,0.7515585848688796,0.6143254022538435,0.5775231486902535,0.5098676900598121,0.5685225421932929,0.4748796805911706,0.4936422198985519,0.538040727697568,0.5492100934220986,0.6137031733910839,0.5526468819597052,0.7141406504732724,0.6706422543115613,0.7862175174668433,0.8683521156715046,0.826689547148602,0.878883546489285,1.047787978200366,1.66701841050547,1.7827750634703101,2.137650591853793,1.386925881653168,1.185768160816045,1.644404831730569,1.3859755327734673,1.7908841100605393,1.328575037718714,1.4008536234021374,2.2881199372972363,1.1609994297895614,1.0400176073536767,1.8211336917399568,1.5923481707770266,1.2891821586703984,0.9713599147553954,0.8974554384912051,0.9164009862547268,0.9618072844966102,0.9197374367526879,0.8457380792948969,0.9073189460518607,0.6776648814217543,0.7415207867166614,0.7236031081883674,0.8944784737767048,1.146974902198003,0.8488594898022921,1.0159765071323614,0.712752238127945,1.0706802084593305,0.7123368324930324,0.6910089966339935,0.7279634471271994,0.8364422071819786,0.6692378650068955,0.799773591399699,0.8895374153593677,0.8407139354633387,0.7767420625224958,0.6221468016714702,0.6813158804100492,0.6606896410259249,0.683404680558572,0.6394045681167504,0.6452697759256181,0.9135841723270833,0.7628821188098831,0.6016676219815333,0.5461358929982124,0.6618723890991723,0.6832095154469661,0.48981298066031836,0.40992711310496477,0.530591480996626,0.4241336580809473,0.5077340300364668,0.47047137328793764,0.5192218330083005,0.7598151246731305,0.5826239062160293,0.6448140960137793,0.7853769416337707,0.6000219680639189,0.5874214507126974,0.4781329710619018,0.475752267986142,0.3808041668760315,0.44676248314289146,0.4334934236028802,0.4999411258570076,0.5810006976911931,0.6520922592474675,0.8160186236072222,0.5905617709581614,0.6197101536381716,0.5269799327950354,0.5249593410550294,0.41297910148113653,0.385280249517881,0.41701516866530136,0.45416928513615135,0.49702482463435793,0.5881557433820803,0.6585010894172262,0.7130527327060062,0.7429374384277919,0.7595773889062559,0.6830575912276554,0.695691512722336,0.607386073303975,0.6962934532408587,0.6599498982721387,0.6455749646741487,0.6357664964598988,0.851828784491724,1.167552345712885,0.7823766156452894,0.6561401932862982,0.7259142978783313,0.5550527452859092,0.5170488891435177,0.4785506718976617,0.4338490325335822,0.4111325023630698,0.4559844002349003,0.4366555238690127,0.6521639110422233,1.0849519803320127,1.1409723021890652,0.46583016201532507,0.40131529183928794,0.4033191488155475,0.42579047454627705,0.5131091053727689,0.5877007347001778,0.5584693391845401,0.6110574677563565,0.6989607922016452,0.7539378523685558,0.9203723698551074,0.889408699881445,1.1487670496696485,1.0666459672543125,0.9251079798359941,0.7950450889274148,0.7105954372193353,0.7029939298316478,0.6491302336213595,0.5925653255478096,0.5937856063891667,0.5202122666211146,0.6051987472332077,0.6504665944467145,0.6636950335838671,0.6979687510762727,0.6455041280105769,0.7976690874697205,0.9077321564069387,0.8355462384343965,0.9005340912243656,1.0138514800046832,1.278370478355936,1.9012856457393363,1.4014340404825396,1.4251210414792042,1.191937444273616,1.1364066178722476,1.1059081456404882,0.9783162820212348,1.0702809836546938,0.953461769453352,0.9090826367832447,0.8174656103363519,0.7964055691147395,0.6943389849093988,0.6394767149146595,0.6138018102457308,0.6234538728473119,0.619400724600814,0.6147363972985623,0.6473864719374063,0.676124689063641,0.6722272856369644,0.7470976731669008,0.8138264802044857,0.8590130270669406,0.8698580612919564,1.0160060220268037,1.160561718194561,1.1289258236089494,1.0859596988818412,1.0016317041155873,0.8586454161664652,0.8857993010532242,1.044056239576784,1.2867063661573965,1.1293784317478026,1.1334817323798456,1.268022331010757,0.8829488774440095,0.8597109577347296,0.8917969933555753,0.9930767486972815,0.8364060156066839,0.9692689070368751,1.2141952471393274,1.1224567138480974,1.0137561284867755,1.2665280959267815,1.4599313224359383,1.220481176897468,1.1980644446927697,0.8582426466452238,0.9821459388941907,0.8691268497814164,0.7588498091472422,0.8795757424560368,0.8110108492130208,0.8844416653647673,0.7945970884442608,0.7659211495484465,0.7140260918774823,0.7312912252940583,0.6146085381387457,0.64856086065806,0.756664384525507,0.6693436700208191,0.6929814819171574,0.7609986317708054,0.9787793124306592,0.8170131654084969,0.7979177133787427,0.7833429011236483,0.7191825899270441,0.670960238566299,0.7819525794618202,0.7619609391202903,0.714563238465596,0.7408036469735305,0.7993621673913633,0.8134645466767023,0.7392656795703236,0.8706209296133446,1.1257777012252308,0.851349597158199,0.9588555680801579,1.0933525923511356,1.279982951263825,1.1011630437000928,0.9091309447774515,1.2974461397238235,1.3121489225052374,1.0931694003637753,1.0184622972137105,0.8540107140496982,0.8907945075035021,1.0501432741896966,0.7847803671548366,0.8405970203793669,0.6846270109397367,0.7186196061525821,0.6157753076120399,0.6898010693344939,0.5594697131352063,0.6751295131170821,0.7217972614953264,0.5562857132041652,1.2632251813500859,0.8762809083091161,0.5850259373204307,0.4896200719079494,0.5393917754212336,0.5326620563627398,0.9482824795369327,0.7466958936248499,1.359835985330152,1.7252288958509578,2.1096914452517748],[0.5277883213998529,0.5538521939922221,0.6117206122974007,0.4304871538740145,0.6657612000481706,0.4518795775236818,0.4440414527311821,0.44394207813953424,0.45789468194537847,0.427177302971515,0.42993634163432315,0.44592045967711263,0.46030796922626777,0.43629574859376696,0.5788450684032737,0.5300282269544515,0.5285485448350252,0.5765156848495281,0.6903262733071612,0.6938654970975882,0.8037597953704928,0.8561672711487336,1.0706066590363656,1.1008528896853804,1.0918898371594337,0.8243907264426733,0.7278846752367897,0.6104789966755951,0.5851949263620654,0.5339305974346984,0.5919880197691244,0.5103464419112558,0.5287995726356977,0.5595324572680308,0.5722761277669055,0.6235004297888024,0.5789541375472497,0.7160265237653538,0.6667601446663977,0.7741001313177235,0.8479439909064229,0.7953311639828954,0.837199912529017,0.9978921968262594,1.623782934703506,1.7579281451388908,2.0856528142390354,1.3357001683938303,1.1660911465341808,1.613051538694132,1.3332787504029089,1.8419210246184428,1.2845967281544235,1.3644451347703084,2.2471828728683336,1.099263586324137,0.9781903662520688,1.7559882491413565,1.5567926560016656,1.2425486803935186,0.9208780320000157,0.8593396100460932,0.8838015056879222,0.904946641959707,0.8652168940638884,0.8131602911670961,0.8667147323739531,0.6604941409432624,0.7253566229761895,0.7276483634807704,0.9003562234149103,1.1475936336295678,0.8499312912702838,1.007472742306709,0.708407712712924,1.0519523059457345,0.6973276675613372,0.6866413762112221,0.7205359841061068,0.8208389084144166,0.6755843893529387,0.8109841636904997,0.9225120653882614,0.8459583290251732,0.7967808782352107,0.6327396621455389,0.6862562273510545,0.6817510751330793,0.6815720270871477,0.6455014935749354,0.6523764816186166,0.9177591133374242,0.7792939215715983,0.632414200295399,0.5800523107646081,0.6965283160220462,0.721332080938958,0.5331509329088294,0.46203351074745863,0.5535853641658757,0.471024446475226,0.5531994024131338,0.5361598527709903,0.5720148353833199,0.7697996183093074,0.6114919277294261,0.6684949504808844,0.822581838531181,0.6316268478838507,0.6573353166195417,0.5489240115696132,0.5386077445656373,0.4530701304263331,0.4998718466987231,0.48325808612590765,0.5310780427577214,0.5884724815063402,0.6397807378858718,0.7898661084069398,0.5866069907233379,0.6246589897072239,0.5464730380331903,0.5417326101166215,0.45504582713930175,0.451683748331873,0.48687557061550135,0.5286146528515301,0.5675049836119064,0.6227547761872447,0.6840680293758641,0.7202934189237052,0.7364648962945778,0.774701290766885,0.7069640943772175,0.721777502712247,0.6434542285286888,0.7369789196165969,0.6969129784384052,0.6655207708218832,0.6429012594748101,0.8296048175245292,1.1291323473299149,0.7601917205678715,0.6562522731015804,0.7202001448301592,0.56899381706317,0.5414969594382183,0.5186240921149713,0.49541187306718665,0.4737004123277018,0.512295691956914,0.5026373027563095,0.6994295857867491,1.0875657816045528,1.1770576746924677,0.5173176274075525,0.4645074209314916,0.459891473320466,0.4878597532993783,0.5788272694840603,0.6380291431151829,0.5864762903638455,0.6273929719116967,0.7047156016901953,0.7561333250463749,0.8914711012427987,0.8800622212363636,1.1284372208801194,1.0707611800941725,0.9411602543522812,0.8239740161687213,0.7367115430444475,0.7223128536199279,0.676393856091708,0.6220551546352934,0.6179068730353985,0.5559302907241098,0.6208456272960412,0.672928065440784,0.6787122142686388,0.7232617403839234,0.6783360815498358,0.8026993559599046,0.9044834333196444,0.8518850703482171,0.9163527208736127,1.0226937799563216,1.2559605491030132,1.9255849893765746,1.377047640218424,1.3859421899988686,1.2094448163296179,1.1452481845409521,1.111804616211289,0.9767655991980907,1.060156673535698,0.9515658147917904,0.9051550059615353,0.79345885011718,0.7869299791737444,0.6631244813998992,0.6153288797326766,0.5885920588327644,0.56957252913111,0.5533711151541146,0.5674373343157281,0.5866172099852485,0.5973258210004528,0.6048241432723109,0.6895185289487198,0.7370985941190548,0.7608578191919187,0.7884324147591879,0.9341225222911023,1.0464342082941116,1.036552020036019,0.9818809629040742,0.8901225951326714,0.7378569144142403,0.7602741834280601,0.8924474432472878,1.2945776172738221,1.0545244545724464,1.1007767900399443,1.1629640664252805,0.7977429332669052,0.8400059544309536,0.8444065423572873,0.9496891411899375,0.8022579347864955,0.88921737842676,1.0804732354705744,0.9949949197261039,0.9259086024425471,1.2585516471142533,1.3629969838602523,1.1318052527798868,1.1969488369550592,0.8069762888995088,0.9419290804486674,0.8432562462160067,0.7562815943480782,0.9285847969814669,0.81271692464175,0.9480776893518842,0.8264901665589235,0.7557347507979228,0.7429496331105256,0.7626575648563474,0.6079572931239723,0.6369334013753303,0.7552288130284751,0.6432420164943535,0.6452126086341766,0.7156458677803349,0.9385043434651711,0.7212663911281686,0.6958064822776847,0.6760291184107248,0.6192680905304202,0.6025931057513811,0.6970609749232907,0.6565634551790971,0.6275554655724186,0.6625791450320275,0.695317822040112,0.7070067652354933,0.6683178327492769,0.7831733481077509,0.9824337347754755,0.7654113355596044,0.8946706968621132,0.9786516277795227,1.184329047626241,1.0199379412334135,0.8463506260801382,1.2823837224167869,1.3674545535854146,0.9944322871060401,0.945297710094616,0.785626351296271,0.8168386558345876,1.0105173386320074,0.7350722783135928,0.7680865363168342,0.6870056540299759,0.6692126334490063,0.6078940899537554,0.6700162201384225,0.5768053561140482,0.7592701727402608,0.6689009032464547,0.5588547852642024,1.3087077069323652,0.8282932615151203,0.6367046456701582,0.5277086369775674,0.5728719405072454,0.5899809526993574,0.8966983460932473,0.6661333473395381,1.6809457882968122,1.8504089721033619,2.210559498152967],[0.6590365356465824,0.6651417898168568,0.717869691367375,0.49781515864177683,0.6090466014788561,0.5440427037442961,0.6383848389887421,0.642001437990589,0.6854705496765566,0.6841840577782151,0.6881589684049327,0.6791546221703393,0.7351903735116848,0.7140699806021136,0.8042867249703949,0.7810436224118358,0.8072341775565433,0.8805727362343684,0.9785451478427898,0.91814126624403,0.9875198200478809,1.0028642387996358,1.1872964797817962,1.2119725419421559,1.1468696684143145,0.9999182894434924,0.9339659511423003,0.8663406468364977,0.8566040554341915,0.7791368344689431,0.8492074868450264,0.757051915505642,0.7648862620055398,0.8062669436460579,0.8130142189128885,0.8649776861859135,0.7993303193577559,0.9021009641788049,0.8781468242709956,0.9030028293259257,1.00890348754677,0.9869672760784135,1.0330357706188453,1.2082533874638104,1.7219694711879052,1.9257851012171454,2.1265911599069174,1.44833365719102,1.3205861868560387,1.6462926990203692,1.3984914493819378,1.8801496177036938,1.4094619458791422,1.3067421538761672,2.2332075104822495,1.2005173638484956,1.0854605069189398,1.7916709400652393,1.6560998658943273,1.3150374459239396,1.0286750561095375,1.0005666644157363,1.013746397642326,1.027577213616525,0.9942135331138614,0.9675209445515703,1.022612667283249,0.9186736758036439,1.0141290860236756,0.9814994043340232,1.1641868300231955,1.3369406585302512,1.0757562599796548,1.2425079058111907,0.9565235943963033,1.1336829026247555,0.9434506730625327,0.9165846177629332,0.9286881793015702,0.9870430825255154,0.8504588282043706,0.9102191460625761,1.0775533343505905,0.9636189573114722,0.9020495643147094,0.846527058748233,0.8469494761582598,0.8336339951356712,0.9000817130573984,0.9051682552678181,0.8905830766701243,1.0657310015041421,0.9658617243608868,0.8348263566862327,0.8097641976711448,0.8628294257958965,0.8943645632457305,0.7501431951776537,0.6722666058364641,0.7090241593758793,0.7061830034879014,0.7194734482069809,0.7111253795533856,0.7116753936763044,0.9257884332164403,0.7414475489980195,0.7508912423305201,0.8472332600991704,0.6752026266136609,0.6882926618555764,0.6305016487394689,0.6669593132594287,0.6434490966017883,0.6924192416329595,0.7329101717653791,0.7917776969942827,0.8503495313178895,0.9204975759602754,1.0266486917163504,0.8818871218347545,0.9069263846969595,0.8170093953709986,0.8413903313557267,0.7275720512399474,0.6407393294076039,0.6489602725037615,0.6290128983489849,0.634707136776032,0.7000062863731322,0.7743419609336168,0.7732526408267029,0.7877592877488881,0.8065414179184104,0.7749877775309322,0.7897636639194427,0.7668129666409671,0.805235768264765,0.8445090348946653,0.8964862094273911,0.8851819513508048,1.0339593404159253,1.1585341004590612,0.9326545295165306,0.8754557868814937,0.9112878433595311,0.8103845398122087,0.7865608740858087,0.7442223600547946,0.6949741674986432,0.6981128163830183,0.6471240887602628,0.6410101834539514,0.7944892991655148,1.0643812613726706,1.104847082118003,0.6643319352342505,0.6468291339914071,0.6536579543836903,0.6891291682923348,0.7075766411954226,0.7726338497195935,0.7990631588241974,0.8433850299482839,0.8800255972164261,0.885569203110109,1.0597052608767588,0.9412091372365375,1.0915273219383024,1.0355684677537633,0.9908069738479295,0.8740884065300069,0.8655371311168533,0.8557568905011834,0.8144914547488055,0.7829019852787766,0.7877523386349221,0.7656763263612164,0.836854193718575,0.8240314873204836,0.8263293236580097,0.8283587716597777,0.787649338613966,0.8965976809659155,0.9567947447869561,0.8970370327790612,0.934876825332041,1.0128051780868246,1.1728226802610642,1.9188853874145564,1.3079179267023817,1.2634542270059814,1.1807875740749736,1.1092875090562937,1.0993037074743948,0.9776582689709481,1.0446791199156062,0.9445019914344222,0.9044120004483428,0.7943383385959006,0.7994903385600617,0.6673203391590783,0.630002731986975,0.6129975422112542,0.5852209746019659,0.5821215253944426,0.6078087141608227,0.628778283188459,0.6411594960706308,0.6404272328147608,0.7513813026625903,0.8130523267400647,0.819839543692694,0.8325294464304676,1.0148964263130171,1.1026727074900373,1.109741882033099,1.0358292353608525,0.996081406191478,0.8074667494959817,0.8359176796634551,0.9351895228889175,1.3186494269755569,1.116549672864266,1.122386207837593,1.1698215278848678,0.8095738824731608,0.8307781782936283,0.8523119203714604,0.9717538854120761,0.816228802858194,0.9024402305060996,1.0882853953118887,0.9963745575861291,0.9310292715270531,1.2455896215188982,1.3577685995861954,1.1353206202960673,1.199797221805305,0.8121377544032807,0.9592486182949155,0.8520213151438373,0.7508169530397238,0.9059856540191302,0.8164618084506235,0.922116431609059,0.8215715400189156,0.7885720909296153,0.7684440093073748,0.7883984269755729,0.6393956328924532,0.6639313347602716,0.7756237303952012,0.6759302964423872,0.6741081783974984,0.7310541526224212,0.9512730514042284,0.7440149322654175,0.7167161296304551,0.7093644580576148,0.6535038988762055,0.6415158420301645,0.7354421002576279,0.702116513622385,0.6646764905237303,0.6907135409528684,0.7409128696920156,0.7569901641341928,0.7026745647338758,0.8220305981223212,1.0083149230448738,0.8188444891855945,0.9189292368485006,1.0085525107111808,1.2266317789696901,1.0767121837780502,0.9401587441882632,1.4455950988749886,1.606759688734101,1.1221227277411407,1.0889099852252506,0.8797703382239498,0.9261898593961732,1.1895100066870667,0.8809439282721422,0.8584354712980435,0.7188181543026344,0.6889523670439365,0.6088778080308063,0.6826853910473848,0.6235891482513314,0.7420559721815698,0.7400677614650922,0.5715624427771424,1.2868755667112257,0.9780059967748587,0.667981484320901,0.5885509648821055,0.7288846087644186,0.6258444742556357,1.0440640135686248,0.6849736050551912,1.6627216023424627,1.8386680450212758,2.2449845984383794],[0.6149116660668228,0.6241499702244927,0.7329144477457538,0.4598344849652511,0.595438334229147,0.48433050342631967,0.5110867680057876,0.5119477000388964,0.5179480450416147,0.47993345829517425,0.4807198860771252,0.4901697295657934,0.5353291271903896,0.4908402250084586,0.6219478490792965,0.5907871741785584,0.6031570341638112,0.6767950513785499,0.8036455050883008,0.7762627128087626,0.8917357009556511,0.9466968975333672,1.1564106792875137,1.212684301957871,1.1460687959949782,0.9024848375063766,0.806860110309978,0.6880740142573035,0.6695848258143838,0.6000597074516164,0.6639458774228317,0.5768123463973298,0.5945261198356583,0.6313072596867145,0.6497192688884107,0.7031808735502307,0.6469034584225073,0.7824945460372171,0.7492815763743007,0.8530494832112344,0.9341984262963549,0.8931538133956644,0.9655378149115135,1.13716728638438,1.7311146785805132,1.854264985148448,2.161718373051717,1.4424035636625743,1.2382881084196602,1.663445199555122,1.4086099240392025,1.714354251213357,1.364477514211021,1.439196401278321,2.3627219842776257,1.2648682476635904,1.1145608984536082,1.9503696366003673,1.6976125612562025,1.3332186199918739,0.9986147220454181,0.9523398304241919,0.9437671048615761,0.9873723410483765,0.9420359035898284,0.8864058365017876,0.930537665186486,0.7563301920142129,0.8197238839914349,0.7951492822949054,0.9674125958478254,1.2065140391362796,0.9050319111738729,1.0825778872556306,0.7871091928629945,1.0691169609419708,0.7893821322591819,0.7701905618039551,0.8048724840464258,0.9037539504530451,0.7548410128341959,0.872641229990614,0.9459809873518048,0.9553824112139692,0.841750847591579,0.7240921972466554,0.7477099909377865,0.7198485202059491,0.7629880256460911,0.7483098608719987,0.7345442286477618,0.9571327835938109,0.8247344636257146,0.6779888587730968,0.6267607318257855,0.7031147012126638,0.7388758166651497,0.5704138065570069,0.505010763540185,0.5574082293989792,0.5439004745547134,0.5930359442791334,0.5884245425531446,0.6321396800130047,0.862921312016956,0.6695046745326674,0.7319514970942079,0.8690973401304529,0.6717628295105118,0.6656683701732657,0.5947238529193278,0.5696819307449285,0.4978992718048225,0.524425017488334,0.532404521942334,0.5859370063035688,0.6561248716649121,0.714438243801161,0.8483165890283857,0.6788035395087245,0.710878312157678,0.6139723657999785,0.6194500887611781,0.4958640004298577,0.4567236462758705,0.4793698391505327,0.5778845882098007,0.5764437610723884,0.6620647834130358,0.7228554395547296,0.7534915747973523,0.7959703964991555,0.8146273822841371,0.7554624768830267,0.7599263817704157,0.6702049995000288,0.7434103265255447,0.6989550430846588,0.7120525381531724,0.7149306395398995,0.889112110864457,1.1354114636793973,0.8105814415040794,0.7097140364867207,0.7797720551736519,0.63998579404256,0.596794962863386,0.5543947033176259,0.5450078583450815,0.5370059362573604,0.5549466678926671,0.533324073359002,0.7296745822368946,1.0178091118554289,1.0463738574738988,0.532347353933827,0.5004556372266213,0.5281879422241543,0.5354829388806336,0.6215706824949762,0.6612411284631771,0.6494829624155195,0.6944707852748788,0.7745330701294691,0.8143881228416094,0.9706117456269309,0.9404626477007957,1.16127563327186,1.0860833295944683,0.9565951754720445,0.8438240959665683,0.7739241705431714,0.7769598535754279,0.7305020670875954,0.6874781026545871,0.6876661327241287,0.6248214006775465,0.7073215817663008,0.7347929585914064,0.7583849533668229,0.767677718206022,0.7347032542349606,0.8873378293039714,0.9806394170160795,0.8964939623267877,0.9449003009396488,1.0296612231883977,1.2783423457641987,1.894166395485041,1.417094935629923,1.4379033856778478,1.225569073136108,1.1642112886526945,1.1332903866611173,1.017257093332593,1.1177177648667647,0.9823013845816547,0.9370929096607619,0.8175040033045458,0.8024280821204417,0.7056136455113031,0.6591668467784951,0.6310684119053158,0.61667896968341,0.6122553467824929,0.6298358729151972,0.6522957728659132,0.6577520724390765,0.6593474852963357,0.764396993192627,0.8235685859449098,0.8373160899800541,0.8466053270504394,1.0287001930859627,1.123463037558548,1.1092710190416577,1.049382669492095,0.9964532365541264,0.8221600356921668,0.8549065637041511,0.9623386567004256,1.2227757701279176,1.1079075767338726,1.1166202963571545,1.2287712903539454,0.8563720007153172,0.8719224746060062,0.9025108006378154,0.994215562293007,0.8445417598061371,0.9597533976286307,1.1701936585057326,1.0289184008737975,0.9704532422721311,1.3269843676221833,1.428671097439214,1.1772291894561606,1.2002881403258023,0.8420390084895373,1.0051730000436294,0.8949402405926195,0.7900394870044377,0.9236345300524952,0.852378770664235,0.9504771276273952,0.8501556799458863,0.8234556975359288,0.7856011110921975,0.809126425540644,0.6558510113651795,0.6697682468819551,0.7746967188642373,0.6796319532181233,0.693408304895339,0.7291841866835604,0.950362165582914,0.7665370930018022,0.741994204075791,0.7390993306635544,0.6841986392059576,0.6776035453995445,0.7797710906816674,0.726820426514996,0.6890828284231776,0.7185677727522154,0.7630746330419559,0.7718308755632244,0.7166517170021656,0.850262703662522,1.0424358389197665,0.8121082691243446,0.921020564048728,1.0426009017073976,1.2257083449694932,1.054623800692197,0.8902260929541762,1.4160118406495534,1.472939657214776,1.108391188427806,1.0674686716605297,0.8671828612138612,0.9283782197703767,1.1573974108900187,0.8589232352066279,0.8208715222634225,0.6562252262524415,0.6870469681990208,0.623733744673508,0.6974631282340329,0.6145957063315641,0.7621963323940483,0.7183213187369957,0.5763439212293685,1.2182137853511192,0.9559164744983242,0.6856126295427976,0.5676169123444186,0.6650394757129886,0.6138939529358256,1.0666331279597265,0.7156128235398868,1.544233062309561,1.7938692059873214,2.231308265160246],[0.5502059586157577,0.5782480290174578,0.6459407844000036,0.4691957726419341,0.7328518600718459,0.5357249449888206,0.5636171735866581,0.5798471753714695,0.5443219408503857,0.5524016293838803,0.5496421100752429,0.5685150457564816,0.6214987307769553,0.5796655866689051,0.7376125011729454,0.7018523139212448,0.7036174315212947,0.7659761430937079,0.8791290491822278,0.9136825631936237,1.0378449416852213,1.108710271838619,1.288041569389161,1.345554848924054,1.3067340219708932,1.0413025605070407,0.9305368215791235,0.8124258159701977,0.7775263965707473,0.7286228223464629,0.7730250378067346,0.6989229342588674,0.722578216016533,0.7621686925016651,0.7849651146930884,0.827372889902022,0.7809146705311244,0.9221732688229471,0.8906046646791247,1.0455838384079637,1.0546277656807495,1.0080434349737366,1.064877437466722,1.1980230038953568,1.7824293065230403,1.8365056184541557,2.234313187599249,1.5483786955320211,1.3129106410180647,1.8033088245599664,1.5752340350656862,1.8803003462784496,1.4847797100949423,1.6467277976700718,2.418709845856153,1.3662100121785896,1.2654690961993385,2.032615276149533,1.7238508599364586,1.4560406118267302,1.1809111209338388,1.1065986493014788,1.1313804851345086,1.1711577290166812,1.111976098334989,1.0555839606831057,1.0847331064210475,0.8772918161210033,0.9025039791832087,0.8856513074970261,1.0094541791666918,1.3043507686670728,0.9788607582245439,1.1270854461244617,0.8943266457554234,1.2432944493697284,0.9179723105305246,0.9159337471601013,0.9537363675485314,1.06410090079349,0.9218096963896907,1.0813992194586663,1.0625087267367395,1.1014930780960994,1.0051863973087087,0.8618012613239892,0.9153178081613281,0.8860340511813727,0.8959175209379565,0.8584592050022488,0.8639410381110556,1.1033403414351177,0.9561885139012889,0.8146007062878637,0.7441989324144156,0.8114344736964383,0.8392553737257392,0.6897053776648373,0.6175887465698592,0.6518388995680847,0.6507658443107822,0.6921292487317732,0.7488462019551057,0.7559206640339355,0.9620204797630276,0.7720167067615268,0.8433268653847716,1.0025365015864738,0.7816967184399339,0.8008193280913578,0.7011867256910684,0.6985294989499916,0.6111700862298649,0.6508668685716372,0.6464059638335479,0.6904863071143856,0.7451384029920657,0.7951889424286018,0.9280953343378093,0.7582157974802985,0.7766444465811787,0.686928863856864,0.6730717498249019,0.6043648087469604,0.5856457345357036,0.6343981529518856,0.6681087926428214,0.7167157156349799,0.7593675527640572,0.8382890795411945,0.8384763380784095,0.886526990060377,0.9556172468567885,0.8915167516961596,0.8950001084400102,0.8022113141903282,0.8503058558855993,0.8063047382334819,0.7821092236165699,0.8262438472285921,0.9754348506436756,1.3438960627128436,0.9510772137017416,0.8301612870921307,0.9170321205494171,0.7724992840615253,0.7269243746909919,0.6808876815985464,0.6815992756493066,0.6311542799576583,0.6391906762265583,0.609284253417593,0.7766622770305338,1.0651650920557274,1.184397525869727,0.6379047932584583,0.6213526642332838,0.621274292946565,0.6742965746335451,0.7758341100569227,0.8325004228105617,0.7859074805859345,0.8303407033493534,0.9248401441304022,0.9776037857084816,1.072941366736161,1.0941074852086075,1.3332294841699164,1.251760756519004,1.0843441697254825,1.0019528809619593,0.9225862332068069,0.9253888486119025,0.8843590927768352,0.8432007178362714,0.824618429346039,0.7596136189172511,0.8123678844057373,0.8769509405368817,0.8918907945794545,0.9327966441356996,0.8899279950110001,1.0210092967074509,1.1215211186332985,1.059020288825788,1.1491858368361574,1.2665412789168042,1.562997284904427,2.0006094321832273,1.666174646069182,1.6962751811949262,1.4284497846981918,1.370682986790865,1.3006673321621123,1.1669372660631392,1.2320453189536946,1.0751243045899026,1.0131684666606142,0.8724638134922811,0.846817324204094,0.7541397153899675,0.7077839782822537,0.6674090657120756,0.6474088005893857,0.6336016031239863,0.641513088653597,0.6561325815259589,0.6649219863779263,0.6614999583801745,0.7438278883740076,0.7947737940016772,0.8087278471640182,0.8123951393343316,0.9717071275771483,1.0862373771536835,1.0784986986604164,1.0234779397293443,0.9737452061385712,0.8139619476019613,0.8409062310668247,0.9665380974823701,1.249811888692574,1.1401213160908619,1.1434227619538029,1.2362817547204694,0.8952807664091427,0.9325691379723597,0.9393260666235259,1.0261918743887146,0.9005355180075584,0.9812793213973373,1.1626783544408201,1.0228949072914522,0.9843068873392782,1.4039227822307554,1.439420577454913,1.1810195339185485,1.2305395900201717,0.8783647400679547,1.0430551083531938,0.9538428361246487,0.857337385301481,1.0197850000622612,0.9046620332065433,1.0559963769867753,0.9256969170123762,0.8556667063909481,0.8486580434011125,0.8581599896210933,0.7025203637921474,0.7138212276901831,0.8183732145099235,0.6999926728697665,0.6984420569769647,0.7451169509767016,0.9601633241127505,0.7410335178787568,0.7173634565842222,0.716177548712826,0.681083287010467,0.6967442250048993,0.7918953721265626,0.7325145008252653,0.6983845597922637,0.7462069633057371,0.783029907016226,0.7811194121048046,0.7473081328069401,0.8812723771274236,1.0493611650954604,0.8306936493771755,0.948490363030108,1.061213594625777,1.239516139419956,1.0712198947276061,0.9003642369156492,1.3999109141404256,1.4323126527274859,1.085693754830336,1.0271195636489685,0.8494386613310633,0.8854038600977114,1.0951261844815192,0.8319669638044077,0.8244787601459573,0.710710777877511,0.7152973264812864,0.669341257770724,0.7381652640212031,0.6694897436888066,0.8589541043786058,0.7197236859269711,0.632556596835036,1.2927194856923148,0.9050665519933803,0.7227867565637686,0.5973481936350193,0.6597323786061403,0.6515818871166814,0.9731124438634401,0.6718774324722,1.7777975607550933,1.9478561398063576,2.35190647408772],[0.7585949798210287,0.8001668577074408,0.7965272522935593,0.7033204985459786,0.9442149840522632,0.7153993174828426,0.6946736751616408,0.7010703429338947,0.6267964946585668,0.5857618513804632,0.5754890847512921,0.604703359251455,0.6326152302009992,0.5811094608990564,0.7171489851155021,0.6846561343989787,0.6709140041394668,0.7273064931144084,0.8483554890752045,0.8106270678934748,0.915923595475821,0.9499001601343742,1.165808669402325,1.2020036551608049,1.1498655819746748,0.9219943266798006,0.8277711444016118,0.7275851559655941,0.7184485486083018,0.6804544445261865,0.7373093042437469,0.671003154058798,0.6954027640357331,0.7112153635109185,0.7238402690771161,0.7566132379169751,0.7222811241623837,0.8293894144271264,0.7745503831787892,0.8752352583293816,0.9235763816760668,0.8960598815503359,0.9450671574896281,1.092477602230445,1.703543533532726,1.8139787937025686,2.110479688239638,1.3963706899597255,1.1991058134221355,1.6214438213624764,1.3494344530465747,1.760259410542442,1.3032631409715056,1.4430279297475401,2.339548951080526,1.204975609675184,1.0689658523927432,1.9370572086371174,1.6771026340215676,1.3068036414048645,0.9907116874178236,0.9571317891096379,0.9663458128281988,1.0017290197586208,0.9386017969627837,0.9073908996835185,0.9583071459474314,0.8018764394240495,0.86795635527688,0.8603161051687819,1.0217450149888292,1.2766563838907317,0.9644794826220902,1.1178458956236919,0.8501984800268244,1.118485093940536,0.8209738189914996,0.8185554170388867,0.84478413739478,0.931541366241049,0.805767265736135,0.934029971253892,0.9790332284525761,0.999656923949889,0.8949472508360572,0.7637506986962651,0.7913128668055117,0.7948380631068939,0.8037280035534711,0.7956306492077645,0.7972384443778352,1.0201981696029758,0.8996709501884762,0.7717158473929102,0.7232376537356701,0.7902770580655853,0.8317144653068734,0.6784985745527549,0.6388266299080787,0.6840436084493897,0.6705601290918114,0.7440465042125204,0.7519445526964184,0.8011720380968338,0.9726123502100792,0.8326630361878217,0.9264410024665508,1.0835571401104456,0.9163118740005425,0.9216949178549819,0.8517597077113911,0.7807671266374101,0.6994285831763374,0.6784148485157596,0.6324255979830918,0.6565220126940553,0.6998057111665695,0.7429171420592455,0.8807954036544757,0.7300569226237277,0.7750665126805611,0.6790191262948564,0.676517859136202,0.5905933919699313,0.6159362295203059,0.6889460565308649,0.8420420467969679,0.8224335198020204,0.8708688362621939,0.8934296485715867,0.9233944171140446,0.9512500990567213,0.9717064650349456,0.9017912484336323,0.9010128576278106,0.8240766684055729,0.9325895319280301,0.8138261184173512,0.761229736570775,0.7647528140281901,0.879414019158871,1.1390298761462323,0.8208595856998507,0.7324278776203932,0.80378749040554,0.6900583023687674,0.6634841049127626,0.650870174683413,0.6949157305166491,0.6932403524546874,0.7377109319208969,0.7027568775082063,0.874114563160404,1.064509212900716,1.149635892231341,0.6945389524574335,0.6678157756126087,0.6939140611659462,0.6872849832401418,0.8109099313438813,0.807409130855829,0.7234534077444879,0.745365112358292,0.811902194675125,0.8481550124032802,0.9446463263191993,0.9828176412990056,1.1913951030333796,1.1779767142355277,1.0339729499043668,0.9681048854201528,0.8689735827362975,0.8538839833492838,0.8203397330818145,0.7798033207258181,0.7914433556441502,0.7230919339693882,0.7759485959937154,0.8101322891348611,0.8411519562570204,0.8489131589008221,0.8716621368102747,0.9702691025252157,1.0439528901115764,0.9739858713021975,1.004692694576342,1.0888824774918369,1.3134154711469852,1.9242390083307246,1.4445646475369673,1.4563475490995463,1.3044356699722286,1.2526132757685506,1.2318397721116128,1.1322961956627327,1.2245417211234002,1.1271713508242402,1.0951491612915474,1.004561392247277,0.981012288398584,0.9326973229348857,0.8942953913472659,0.8519883717648551,0.8609795738537623,0.8526986708532512,0.8570331510187873,0.8804554374819396,0.8884537829180607,0.8747479788283479,0.9316374909211326,0.974046522989792,0.9694310415251026,0.9477720474232658,1.082640133773447,1.162891454042351,1.198580839014327,1.1463897617107857,1.1122181162053957,0.9816342481460811,1.0033008792763378,1.0648698010149795,1.4264031214032626,1.304180663291628,1.2969878738424963,1.3016879324065784,1.0463661845242853,1.1081655010420575,1.082358606658635,1.1722710616854108,1.080530761403787,1.0795551318293706,1.1943183038349234,1.0829027432526497,1.0715682927814816,1.4939012749626137,1.449023161306448,1.2184721326978638,1.3176063600388948,1.0068417436925097,1.1262856960920027,1.0713486886688481,1.0286809972004785,1.1804906265073538,1.0762364423330895,1.2163228117902343,1.0942352659182843,1.0478141264563772,1.048151520558407,1.033903739621224,0.9252075744329484,0.9367716461766518,1.0158505370605577,0.918005972863834,0.9174799442254858,0.9398990509587145,1.103704100624695,0.9037154376527279,0.8941255328769452,0.8993456306155923,0.8914904933810073,0.9169886269189015,0.9722259760936778,0.9311507636683362,0.907659730516656,0.9433168265726027,0.9627027792575419,0.9611305156104758,0.9440608715724871,1.0425565805638741,1.1262566420090563,0.9989629377081342,1.0754919055553285,1.135351822206282,1.3130955966396416,1.1842514675844142,1.0814949573241153,1.5582707436930943,1.664596094704896,1.2011815749529782,1.1751549619306865,1.0472683333439363,1.0603918442520344,1.280516273108917,1.058128595714401,1.0064154040868476,0.9641808853947625,0.9290246544866779,0.8843821612762227,0.8987710882667767,0.8373217926743168,1.0895629001881149,0.8573730806749732,0.8401399370418057,1.341310319822736,1.0180979353545474,0.9757702057582498,0.8151809668495943,0.818922648666611,0.8683838784967706,1.1380564755401497,0.7873335898065591,2.0447102940630404,2.1758468441294077,2.6568389127622494],[0.808716733748061,0.8438742396989244,0.8638840828445922,0.7012969014169012,0.8899534254293319,0.6960593435865374,0.6777484373254546,0.6899534580992267,0.6230654794993747,0.5842525496418931,0.5841808791299947,0.6133819970233138,0.6478682736479959,0.603202549052957,0.7394555848260804,0.7204214720265038,0.7182224411319579,0.8029238503329048,0.9504106284779411,0.9010466238098497,1.0177222521595064,1.0535689234142556,1.282725765574694,1.3365431675847474,1.2362875654036132,1.025538847229433,0.91930597738009,0.8033267096965712,0.7837079839424916,0.7209263195949012,0.7911239381748808,0.7047881453801538,0.7345055565536498,0.7679653489768483,0.7766782742366671,0.8211647169597339,0.7636632874496196,0.8836264090579808,0.8442990868824211,0.9264765652320569,0.9982186415629256,0.9961249911696114,1.0532332536068865,1.2062741971164055,1.8058871965591776,1.9077687077566576,2.191630589430052,1.480420019195754,1.2563936818517438,1.669145125676533,1.4005452889299563,1.6616563435972846,1.3569032193604045,1.515888482467853,2.441462640346799,1.3334358675614726,1.1850535976761147,2.091867593059463,1.790997488858987,1.3973148214261892,1.0919504338996135,1.0599823181058619,1.0422444213696982,1.110401338857651,1.038013776111579,0.992715832792028,1.0478251319210126,0.8907396747340666,0.9553154886223516,0.9170184472172079,1.0791931220612934,1.317744472162042,1.019869706305763,1.1930145425834533,0.9261676717951831,1.158378637170873,0.9124408876127664,0.9004574261197966,0.9273422091339872,1.014066036176997,0.8703233638093995,0.9791388531422177,0.9773865201164316,1.0650974984066972,0.924094001114984,0.8184191571817122,0.8477246088046475,0.8400130600097427,0.8844502809009308,0.8713585071912937,0.8648290016945179,1.0588518040451733,0.9481378087324258,0.8113489531416167,0.7583695351467501,0.8121747471720103,0.847856310812993,0.698959074747949,0.6559132253720926,0.6748745959481096,0.6932351516940468,0.7515549416353012,0.7702778300030757,0.8127006461422583,1.0011034975260462,0.8310076152405457,0.9351449619838079,1.0894577308297309,0.9103974636906803,0.9030999976835729,0.8426560624644878,0.7602588864052058,0.6781394054073692,0.6525111561742796,0.6296190592964347,0.6735700993681515,0.7533247459020737,0.8230110011483548,0.9641360813732072,0.8057637184429736,0.8336912374839982,0.7186933191288543,0.7224861508236186,0.583800788918321,0.5766751925959589,0.6282485230136612,0.8386551797416183,0.7960052803366748,0.8602168609713633,0.8890363696864378,0.9177931880044101,0.9651529879025539,0.9769602056993733,0.9123809642532198,0.8993775421475599,0.8044949848976688,0.8967883060517559,0.7685557427232022,0.7610285300725053,0.7942986241281191,0.9635849163856954,1.1816849733828527,0.9094977399947495,0.8040387947636845,0.8680657029384604,0.7504869927458521,0.6994971081610004,0.6578746324678862,0.6867519493716815,0.6808016761484018,0.7321234940258641,0.6820798660092553,0.8791034521525058,1.0387958713446743,1.0604400149064563,0.6791984273831322,0.6559831551814076,0.6949916893467124,0.6892344649100278,0.8109432025133614,0.7980487864287922,0.7553757107676277,0.7791071879105889,0.8615661168778915,0.8783362325766565,0.997823464302836,1.0045846367988625,1.2054788245611043,1.175671788816656,1.0104840856310207,0.948251975237433,0.8623137460655573,0.8648971223501628,0.8333500771326436,0.8033088103839829,0.8122948934255021,0.7528431788193805,0.8108554241169132,0.8495343475267816,0.8741002403076025,0.8660538897470217,0.8781607470690398,0.9931540591698794,1.0700908194399146,0.9831864755117038,1.0080991365973344,1.0784563597773358,1.3096995278807269,1.8699728092648054,1.4486592772279854,1.4882496214394427,1.2895206630594742,1.263158492357471,1.2483793616865895,1.1569240506599838,1.2648087474774516,1.1321270653878361,1.1034730421464263,1.0129603060819108,0.9727431994860152,0.9571124605040034,0.9101782367055494,0.8651583981559768,0.898036376786972,0.8947804632178666,0.8936833168263176,0.9313232041975511,0.9471116175509265,0.9215972495818407,0.9848899288772331,1.0443487865192123,1.0384986305519224,1.00377621063885,1.1589040142397296,1.2391547467257498,1.2671866655392716,1.215775150495704,1.220546846551523,1.0705188059380437,1.0945814444201765,1.1501680301551216,1.4186526156771944,1.3718187641229935,1.3222850049166959,1.3641651194104603,1.095754694585192,1.1362016241961137,1.1249181080127264,1.2161298572857462,1.1229311763626246,1.129598204424034,1.2540299584359174,1.1304740220132847,1.108206012589312,1.5197165683633191,1.4985575578037706,1.2751025756672132,1.3083591015442468,1.037086735556592,1.141892066297598,1.092558657507778,1.0506781494812307,1.169737144187839,1.0879944062430924,1.1967118955846496,1.1012913908284003,1.0892258815112021,1.0626483561713957,1.0496667703533764,0.9474843381154472,0.9532223261866296,1.0264715306378418,0.9464428319271201,0.9592601908671015,0.9677254132928234,1.123418215019148,0.9598514073757143,0.9511580891330282,0.9617568904907832,0.94372600398676,0.9620960810873718,1.029304409663899,0.9938254906218139,0.9648889203406436,0.9968675292501368,1.0343211829437753,1.0360361761078953,1.0048249712574715,1.1089220838695546,1.204771744022353,1.0782778770237245,1.128790915570213,1.2150979543995164,1.390797490371422,1.2665100819477617,1.176167022714319,1.6945825009088098,1.7818712054252295,1.3272038929377934,1.2909667396000248,1.1336120286155043,1.141133198171949,1.378789767539805,1.1759683659963018,1.1244609391481857,1.029835316309659,0.9923249194905378,0.9029553542483899,0.902243302876953,0.8376858993592994,1.0876372842673632,0.8627740178810898,0.8431207813638135,1.2699974715600473,1.0571373196258849,0.9944050267583734,0.8201788273873002,0.834688446093573,0.8614926721108347,1.2405155956954241,0.8158806749205025,1.9557409547042457,2.0893977318959265,2.612319705964814],[0.734420434096963,0.7783749325974111,0.8271350094931981,0.6593311261306243,0.9204593871606717,0.7119621812124485,0.7208307815772067,0.7513433312717441,0.6594061457371511,0.6487683746114112,0.6510092796940704,0.6822589179633773,0.7306094035716088,0.6665228393630124,0.8226609325927403,0.8097430373523943,0.8076283496528028,0.8745578689039708,0.9911621864730642,0.9978894104054086,1.1234488371435563,1.1882219222667274,1.3954031847653385,1.4581055842466963,1.3596253967597107,1.1060621144453169,1.0025915321264673,0.8902911762458223,0.8728635543484403,0.8373025345342673,0.8777300787189631,0.8173106178989532,0.8459850030272479,0.8823768183584487,0.9051388447435461,0.9359476108876433,0.8978354303155172,1.0059199459067563,0.9825405598188202,1.1275061128861545,1.1185334886782077,1.1004104872751348,1.160509430117198,1.2800919911548774,1.8511161757619163,1.8808181104635429,2.258033379156569,1.5823492752218613,1.3317635074631908,1.8017430105240047,1.5826270595064489,1.7761390337605527,1.5285760244729885,1.7420691205710428,2.5373115420966323,1.4876921237052654,1.365812791874405,2.2394632825627876,1.8588791664553697,1.519004329812927,1.2592616436569406,1.204591819293846,1.2147786266194418,1.2675070104615638,1.1781809427782348,1.1216156993751814,1.158617163658673,0.9779614641634946,1.005651936309807,0.9750180080727338,1.1062835675352085,1.3949650108674096,1.0652117098004419,1.2145973854385965,1.0011799985095837,1.2863774180145204,1.015691173296406,1.0239874664866464,1.0620706755882268,1.163269942665102,1.0353672786676562,1.1779582138133498,1.1205813632185457,1.2413456414936983,1.0913715078061532,0.9801905501714536,1.0003938887509345,0.9908517976276379,1.006260242278368,0.9828474913424768,0.9761440116133547,1.1674604027054607,1.0437903840520901,0.915084895435636,0.8424794730482255,0.8848617624292615,0.9014381677394611,0.7896947492429972,0.7542049768520926,0.7654840473656606,0.8127077176249334,0.8738924011562988,0.9328053010949062,0.9659879937662007,1.1750379837675387,0.9867212307709095,1.1012642827675936,1.243418917796272,1.0330923128149792,1.0329032243919902,0.9392945477731326,0.8912366473571136,0.7824507096858742,0.7710261872033777,0.7297078002799586,0.7549428662252581,0.809959750788714,0.8460824090384637,0.9914355701078775,0.8484218617632029,0.8598483592953061,0.7611794319527724,0.7423153832221614,0.6620594623035867,0.665807837372871,0.7532754077007664,0.905560483082882,0.9187627111082254,0.9840874087801227,1.0452789100518824,1.0586063752837946,1.1391364580961334,1.1861104298210012,1.1176262044954661,1.0952031227808696,0.9774362370338622,1.0315176804385053,0.8970099927718272,0.8348155834286065,0.8964973650937156,0.9959267821643358,1.2955977258733307,0.9882725135617293,0.8789719345112647,0.9876130560227335,0.8669197620192378,0.810994428249656,0.7828041571163784,0.8332965545147172,0.7818385393871248,0.8295353475919428,0.763282733841396,0.9483814663888382,1.0683033974220115,1.1335946074632548,0.7749389698016317,0.7668987719523971,0.814575781503197,0.8258361229722342,0.9686424505351922,0.979471453813994,0.9031066516020165,0.9250810261282947,1.0213361405228014,1.0731759281867146,1.1450972705125622,1.2224539109769375,1.4456649236124792,1.4020850239652511,1.180846275955373,1.1480278349577542,1.0362140624191687,1.0521100869641895,1.0243548522720785,0.9879688220608102,0.993605118761167,0.9080853592734592,0.9747545480105263,1.0238984047198019,1.0520289237635525,1.0707826216738385,1.0829990481403329,1.205238267398329,1.2864716973810966,1.2037671371134224,1.2361330562374384,1.313273926834492,1.6064943407426637,1.9626649001900351,1.715520889960589,1.792657673400941,1.5065636356579826,1.5103921881248596,1.475916096567852,1.3783805822253756,1.4449913682996351,1.2663590882520235,1.2242533413126213,1.1003947636166698,1.0541231179554085,1.0295222423361203,0.9818757787436058,0.9318488386971289,0.9385689427494351,0.9313340075283598,0.9183673717895168,0.9275500234441867,0.9451688534604388,0.9230101950960072,0.9638287539547484,1.012079944864682,1.0088262762959297,0.9725997826840275,1.115984275537801,1.2057987681500968,1.2346921775659638,1.1851145833908545,1.1939810546969214,1.0522393847132194,1.0797478155149585,1.1533749992722695,1.378568535963892,1.380845584165855,1.343238651300763,1.4092292335745256,1.1616155228685663,1.206577164866506,1.2116229881659408,1.2826474451320573,1.1972983453393928,1.2246663343028987,1.3432881574815103,1.2032570749455935,1.1957313715510505,1.6334295712709876,1.580863113101792,1.3406244734029658,1.3785802517714083,1.1161794349293137,1.236277760281624,1.20224377614831,1.1388535958542152,1.2617544144846646,1.1692962019121347,1.2905398565363888,1.1831423552877531,1.1474874197666203,1.1317421882655951,1.1176266872694613,0.9919628790606346,0.9870440517237645,1.0528915910145198,0.95499730466279,0.965425579225004,0.9654302217302492,1.106380462147934,0.9399485939361965,0.9360973081575413,0.951442938830049,0.95591758744643,0.9987796944726968,1.072185935448962,1.006010152024844,0.9760353285576797,1.0396431596593505,1.059607870466699,1.044105138501863,1.0326238892677975,1.1551918601649147,1.2251524098093562,1.0831939716307077,1.1641665126341725,1.2636037321276408,1.4076794454347223,1.273005066822551,1.158219277633405,1.6960804424106022,1.723679423532661,1.3106063966994672,1.2489821213298553,1.094903761585039,1.0979540346428622,1.3216824225492991,1.1270575932595264,1.0931367780476198,1.0155175925842042,1.0071482889665186,0.9351368906194555,0.9711896157253739,0.9090900572043904,1.1235072654811618,0.9193837869371355,0.8922664812747427,1.3129543324621606,1.0765472265708809,1.0033857570354319,0.8343592827396323,0.8501912835940411,0.8524634235828753,1.2019303009326625,0.8023997144196621,1.983340458271288,2.1387902222790105,2.657328005172018],[0.8361877310810854,0.8924848394398434,0.9129049401642421,0.8265614768683222,1.1481422570224893,0.909851034264429,0.9193284654279764,0.9494485654866591,0.8365488616057696,0.8191349555439477,0.8073970490317306,0.847089559136658,0.8823884376198817,0.8001262324372236,0.9378068458048695,0.9334742930012944,0.9177455696971298,0.9422361392362439,1.0151603680503853,1.0249938090882056,1.1170239633348926,1.16400854306034,1.3416047437518792,1.37946480043867,1.3248987941238834,1.0973132806393755,1.0326967221521268,0.9627975748145658,0.9591799665374158,0.9598655346944107,0.9658948890124892,0.9439060140720059,0.962714337225355,0.970593022497818,0.9964953307892455,1.0077796468376092,1.0146746741545383,1.0846106747294835,1.0554260716870858,1.180466670415792,1.1517781414652095,1.1042874696823943,1.1356124517528925,1.2327961256442201,1.793808044124784,1.8292587045643176,2.1895800314111304,1.5332932352485475,1.3276621625261755,1.784230749681672,1.5531517220918147,1.8673255246966833,1.4883726297824273,1.732417602365416,2.486830937588996,1.423074546668592,1.3024360177226555,2.1626572323925273,1.807393554418068,1.4728608604347717,1.2159091623596254,1.169334246109875,1.2063319360932685,1.230753130461153,1.1470518340972107,1.1204965549811976,1.1581053765561835,1.009247978783776,1.0341279325621016,1.02881975580724,1.1512559558961981,1.4376830930064481,1.1096789270488885,1.2360904340199355,1.0380565543430398,1.3172526248950336,1.0349816727887624,1.0580823787611822,1.0952118166709517,1.1894815829274086,1.1039994398947583,1.2539835925313216,1.2393197656496298,1.3194511870494854,1.1986434505875057,1.0781312695330765,1.074740890647581,1.079243298823572,1.0480196315104773,1.0375394353895577,1.0352211407526315,1.222118376448698,1.1158948988189636,1.010289291919284,0.9475059948121275,0.9880756209072369,1.00080593768992,0.9283760910244196,0.9161760307708288,0.9414114001210989,0.9726471445296105,1.0565579042116842,1.0995197737595657,1.1507009066592169,1.3320579678655828,1.1861769767544041,1.2929240982992318,1.424581314979118,1.2420012292904505,1.2535911079608337,1.151385341050972,1.108495167251649,1.001109937305431,0.9887598798957127,0.8988898448514195,0.9028267149669063,0.9075781298596594,0.9076084864669851,1.0169335421321144,0.9101703160739425,0.9276049536543958,0.8551373229473035,0.8370779978393149,0.819494526422244,0.863250577254848,1.0034284620167533,1.1094790007043467,1.1497399139511846,1.2006767362273245,1.2442110689699963,1.258546478334877,1.318686507303442,1.370640080803502,1.300585827708441,1.2959503001909272,1.2053003848667223,1.2708998756228418,1.1327158123320544,1.0296724484017856,1.0653710210918614,1.059498548717371,1.3465423808550447,1.0347075813675821,0.9750472690150017,1.082195934899875,0.9835613922264577,0.9578853656099816,0.9585600285902702,1.035809022883045,0.9807571191539233,1.030025195986759,0.9710329535452797,1.1227576560241561,1.2061101842201052,1.3038793049448696,0.9752411915831523,0.9660271167471552,1.0170231737612234,1.00960976590908,1.1642340949275074,1.1786189792454491,1.0482969222387364,1.077999514023347,1.1349343304403048,1.2092188186298067,1.2693330283789552,1.3623572524874976,1.5502616108379006,1.5470389725840716,1.3929058408846169,1.3620932535435766,1.2442739900211581,1.2287739760633078,1.199478992369584,1.1471242476719914,1.1517881973567163,1.0580495709960338,1.1133311314486987,1.1548181526027093,1.1934102995064986,1.2275879722596652,1.2674807689519192,1.3514795975211134,1.4186357619292054,1.3496660496157205,1.354749354994413,1.4086841845551576,1.6821374612601132,2.060527014185212,1.7968946873363665,1.8460794857740588,1.642605344990502,1.6254811980507173,1.5892769205344246,1.50344712033811,1.550732129269545,1.4150947541355143,1.3805377572836455,1.2716373586427838,1.2415248653108364,1.2093903021605341,1.1754471660798609,1.1268900621313664,1.1066574288464885,1.0998169662892845,1.0878950821446924,1.0664733383198042,1.0758364258861637,1.0699634587712918,1.0761678588176484,1.0900873115282779,1.0855230111072258,1.0541083581785025,1.1451096020014049,1.2116176142725275,1.2635437874259652,1.2279544679241132,1.21229508965216,1.1222570827585059,1.1443089014479817,1.2123391065055753,1.5238086222816458,1.4836917754099654,1.455994220957088,1.4705531529744016,1.2954190090148738,1.3676228664725232,1.3609631260631534,1.4057360759458148,1.3506621611191816,1.3516604786495559,1.420677041858905,1.3067966893196665,1.32685533466102,1.764700825580367,1.6468101475561432,1.4101410745827228,1.519653286837083,1.261035976653244,1.3799133760103577,1.3627740085201496,1.3231665533219994,1.4736072763956896,1.3679710967564218,1.512423989943854,1.3849598001657915,1.3184068450659001,1.3359090054942666,1.3058407422912874,1.179495188170177,1.1750298101697518,1.2255839640450548,1.1205447678869265,1.1251409449133085,1.1246219135799682,1.2270733954737483,1.0536301566811566,1.0626134339166866,1.0754078083495524,1.1019098895361328,1.1576337662212168,1.2093660558382622,1.1380164441910434,1.110443490153567,1.1832333250687554,1.177815968798669,1.1486197752673595,1.1674221683995682,1.268175613536543,1.2740607818108647,1.168005677868593,1.2597156684821913,1.3125410888472826,1.4433383276820912,1.320673665533505,1.2140634557974517,1.6924813059114527,1.757401067563161,1.2886602740355189,1.2489547494579734,1.159523828269746,1.1566426254491708,1.339114413118561,1.170798152762625,1.1261272399713416,1.132695688426474,1.13371811537314,1.1083844350105294,1.1584543094878987,1.1089559427059563,1.3262376942131613,1.1087242400802348,1.1042222447003338,1.4896408511364123,1.1938780436303806,1.1831571412716455,1.0225144619868327,1.0111656682037755,1.028915966153064,1.2188629268586266,0.9549232996416002,2.3129548212820015,2.4867789478152083,3.020202647019032],[1.0615024436146767,1.1194540147797147,1.1205640756401918,1.0053564431815414,1.2435686145002138,1.0158748035096363,0.9800372782776641,0.99803846085339,0.891616820981366,0.8552909032201194,0.8567916995838144,0.8840998373360837,0.8864866023372766,0.848466087654012,0.9467097422850164,0.9272698753807881,0.9010818331179687,0.972797363951648,1.1236994654258716,1.0355659756500324,1.1481321609014934,1.1643670837734008,1.388849904138322,1.4483065233889423,1.31058180644391,1.1595373510863334,1.0393885445271982,0.9531785366395235,0.9339407329777623,0.9000258218207442,0.9691435431365181,0.8994150447125465,0.9326853087298035,0.9354287774679328,0.9379493465687991,0.9590313970475091,0.920229271923658,0.999025021074484,0.9558973802587334,1.0157076818401949,1.07068094475021,1.097657426150621,1.1364600096893922,1.2729928546999851,1.8524491469143909,1.9633235788284884,2.2221867280362755,1.5181442159067486,1.2950069634091201,1.701422757541883,1.4160234857037926,1.6817483270425249,1.3873483865924308,1.583534228700523,2.4875669318307994,1.377379932472376,1.2323018076339063,2.161007009860547,1.835739945472387,1.4351110893841243,1.1689602272756754,1.1452056287431571,1.142229943473661,1.2188554150086113,1.1388841565844068,1.099111701372656,1.183984884193076,1.0478580878427148,1.1485682396447892,1.0956093950958161,1.2347495096482508,1.4430940481421988,1.1641201594238373,1.3208940589499494,1.0895244023714334,1.28903783340872,1.049768259431657,1.0375883841633728,1.0562832964663587,1.1121341612334026,0.9863472430834977,1.0923658205546374,1.0833334767419862,1.1921604829970196,1.0239064528382313,0.9428639679965358,0.9562680825545661,0.973120680511414,1.0122588011699585,1.0018092576384978,1.0143595881046878,1.2040244431493492,1.1035659744380548,0.9979209102150438,0.9569499544887206,1.0043073510629414,1.038646502444678,0.9205001444879313,0.918187156822408,0.9271864885764741,0.9262872972927013,1.0160947203089217,1.0155856530356502,1.0904277543994683,1.2488780705438705,1.1213787488255267,1.2603727178805244,1.4083064057324568,1.2736903356049472,1.2496175525701625,1.186156304400439,1.0686849320296767,0.9832643344588876,0.9121161620645677,0.8601928227888804,0.8664928085539451,0.9249215071842464,1.0007223623819566,1.1590655658759073,1.0001115388771002,1.0320453561299523,0.9110167367113147,0.9262826914948137,0.8173386544695515,0.8629910648149198,0.941670145887825,1.1853986202853002,1.138260781183583,1.2157652312470293,1.2030202210267111,1.2857232041295923,1.3263407719206934,1.32105135815589,1.2177034320559226,1.2074218291775547,1.1018858291719287,1.2866521737219734,1.0057172014951208,0.8837295369942463,0.9179106805396943,1.1008595220235289,1.2618706344807693,1.0318908942659664,0.928058580676441,0.9676244406608605,0.8959032203603383,0.8645160951245645,0.8720560951798864,0.9501684589378669,0.945524948078651,1.0348735275385204,0.9736935645757371,1.1517372745915373,1.2087712051105477,1.2238831265658223,0.9619638402922037,0.9397356991401147,0.9828835084805132,0.9452210908884512,1.0901892749989364,1.0371935713965899,0.9141200330205548,0.9122029191320241,0.9622097903408072,0.980808717386699,1.0658196117102894,1.1596665625455087,1.3343213128061937,1.4198426039590206,1.234766787756561,1.2261253072895266,1.0605609875211957,1.037993526206604,1.0143215807758161,0.9797909567449747,1.0125351319853417,0.9392026857399451,0.9770654101439535,0.9910633055370197,1.0407660449753908,1.0278366024691,1.129621772525142,1.2062394886585608,1.2489445421874072,1.1541773677170422,1.1115439740317916,1.1576698944311608,1.3573952659636799,1.8970707995916851,1.4967123669549707,1.535845151468919,1.4324381935955022,1.4518078333328663,1.4815954312191884,1.4530522364474139,1.57344044083976,1.4746674530665065,1.466325815359137,1.4082402085535495,1.3444325056110824,1.364910518070239,1.3018932996313222,1.2548699875292575,1.2967283148096913,1.2876296241681044,1.2622701923457633,1.2776187169432245,1.2963992077312851,1.2699500382438795,1.275841790796257,1.3077775079609077,1.300786347028392,1.2506729650684423,1.3506641811540379,1.4084281798054679,1.4534554880794985,1.4349896311498223,1.45007024176308,1.363993695591992,1.3890241592818868,1.4455227126287618,1.7085463114747683,1.7274183338492737,1.618547932906792,1.6205768467224684,1.4679763855987094,1.507257924021339,1.5294732929102788,1.5793560127757267,1.5329842609697815,1.498725528177667,1.5694307978814375,1.491406449136976,1.4853143601595507,1.874473977538074,1.7945595027583752,1.5920142983935615,1.6299259980092846,1.4234643402291243,1.4772492446100447,1.4723682730566245,1.4518230817304638,1.5521803757892143,1.464627782869122,1.5628475936381339,1.47306380688152,1.453995405004949,1.4366976563710423,1.397719726039272,1.3203289222471102,1.311013627263865,1.3445765346626355,1.279813224851589,1.3105767262345112,1.2908352126948053,1.3595688614518593,1.2559824664148755,1.2739276799785897,1.2909080158947144,1.3076590130619077,1.3432567430947355,1.40110951555474,1.3607338849253279,1.3305451364471956,1.386280063539563,1.41434198540618,1.392975580862205,1.3957304572840434,1.5006288787843303,1.5075344652259235,1.4225513985329523,1.4770696608225797,1.5269004741304473,1.6553140113067515,1.5445807134459986,1.4637819047420273,1.9038185696740373,1.997330982154406,1.5150923748810121,1.4734395017136603,1.3942514895949274,1.3742487243244843,1.5516701053637212,1.4252043064910789,1.3877783893660327,1.3845226089903677,1.3694662081040956,1.2972815901073134,1.2880469993881276,1.2082250349729609,1.4689845053563564,1.2008447404312668,1.2243222379403442,1.4694615526033339,1.2940009602440816,1.3563471498732933,1.1625598356510127,1.127488240618007,1.1734885396742085,1.4452570406440144,1.0904872364961367,2.3804281085870196,2.5155433852645563,3.146162487786239],[1.0171600061247117,1.065364717796223,1.099985453131723,0.907789080030472,1.1256090683736688,0.9234169114377139,0.898774756691331,0.9418621485974074,0.8121493606519039,0.7776696095652982,0.7819737509179971,0.8255641583509415,0.8550199925010366,0.7840690046919214,0.9253999181566046,0.9263801713065569,0.9199640816532205,1.013902254705649,1.1774112312388323,1.1306990799884058,1.2736896029303315,1.3136261286010982,1.5539756538527554,1.6375770083365968,1.4678326761724485,1.2709644486150304,1.1334384677767413,1.0052377005916662,0.9867652545218879,0.9379099605989077,0.99793449519712,0.9298209462074095,0.9650461208040576,0.9984921137187501,1.0116293982228572,1.0394763321696103,0.9916608016634249,1.0852689773039703,1.0629496525416866,1.162485433903164,1.1982483996758078,1.222099054600798,1.2864060480233857,1.4123317653846503,1.971245327186587,2.018964944396916,2.325600864379601,1.6478444574493345,1.388580433108105,1.7867928898266725,1.5511665735719296,1.650851521328573,1.5290569751756715,1.7705972819294946,2.6099337842275454,1.5774430610311874,1.4520810314271317,2.369702214249581,1.970687239669682,1.5861061326283228,1.3409587293821659,1.3139044207835764,1.2961751007883158,1.395656055649412,1.2898480919298108,1.2411457928438376,1.2924634227999545,1.1316553883512286,1.1814174537662183,1.1042789144019867,1.2395949691667059,1.4849918850735302,1.1860673288281611,1.3845248932107972,1.1549631807195662,1.3733470512513204,1.1579440431396741,1.1466171452204121,1.172609427365002,1.2497978799973135,1.1133357084233104,1.2182664965680714,1.1592644781333934,1.3186626231950973,1.1150822090056682,1.0471796023804831,1.075095842618325,1.0623718428908062,1.1161224628276094,1.1005090003752536,1.094697142969548,1.26104513604271,1.1395501819257268,1.0288167670633956,0.9570543845587398,0.9842182356683904,1.0107655570752836,0.9140972250388357,0.9034403540523264,0.9118520630034164,0.9545974235883181,1.0303787516751859,1.0698120287686472,1.1386144798827742,1.3353423840042797,1.1452577670780708,1.3044807299659438,1.4475314632784242,1.2817797634887154,1.2392761694581484,1.1659036186620368,1.0498180814772464,0.9400228427586923,0.8718718106049258,0.8220138989523073,0.8377767590933727,0.9175419484988578,0.9825403616096646,1.1686773200148175,0.998048631995526,1.006470434302392,0.8629795153602056,0.8487886939816268,0.7336803628463582,0.7651902717671237,0.8504815850723926,1.1157371850395186,1.0841945858507724,1.2033436309911865,1.2322222968032077,1.2934690154840367,1.3756730744344723,1.3598351239459237,1.2725690978657207,1.2313987355118672,1.0867843562135457,1.228839530738788,0.9511402108018885,0.8593900526870171,0.9343249398406003,1.1066171320068392,1.3432696229132786,1.0986256523503466,0.9818627976517652,1.0592308522909,0.9618542794759173,0.8963832364026239,0.8805164832923034,0.9541192356185659,0.9152721787650906,1.0124884441490651,0.9360924932100428,1.1348573738883316,1.1982412071950228,1.1621128817012494,0.9425130300994136,0.9241252106601581,0.9855950901737266,0.9621470876663526,1.1140511480846067,1.0686185858060837,0.9790847608700822,0.9759175787600451,1.0623880196677413,1.086737788623527,1.14348947094024,1.235506525312545,1.417937694352575,1.4522457891816538,1.18409580171748,1.2109481087050022,1.0759143645562674,1.1029189652827107,1.0898343754957212,1.061374069779437,1.0912283099481228,1.0070225915107929,1.0667630863558981,1.0875244317034625,1.1325871217695849,1.1223598757560866,1.2029002406355649,1.3063036923435887,1.351374782888019,1.2419301879478015,1.2262843577919569,1.2828998534104559,1.5419563451472473,1.868291930244101,1.6472798550705565,1.7352960246996059,1.4698674244242693,1.5176367615443478,1.5480261775562376,1.5146449726602071,1.633081280381181,1.4925129944448023,1.4921474507563033,1.4223337414860608,1.3389015329654457,1.38436629876403,1.3191248285141328,1.2581000870927301,1.3144641677697833,1.3101364976214545,1.2643315553031904,1.2837277340867284,1.3173694352387253,1.2823812936712258,1.2757482632027053,1.3243998415950191,1.3212999677876798,1.2553481564461337,1.3626808892154114,1.4364047473885166,1.4820854310850269,1.4717651836727574,1.5256723563425125,1.4221788731520366,1.448835130837449,1.502769521767461,1.6857687856857697,1.7561484277597483,1.6373843900201832,1.6828885485665677,1.5131103808417097,1.5468383628030011,1.5603583635191416,1.6375853472806405,1.5812366820126842,1.5442074750339594,1.6313280894845164,1.5452742360813978,1.534773446376853,1.923285743718463,1.8416751258725785,1.6375616078657462,1.6324245281986474,1.4673521515464143,1.5082198029589937,1.5070226284445944,1.4785920470170635,1.5696720558663082,1.4888106970573287,1.582031403284526,1.503561157389078,1.5030384786468598,1.4666613749006323,1.4289270843223747,1.3378063663430892,1.3227818723300537,1.3531012384242578,1.284965293037591,1.3254767830873897,1.3021296995756457,1.3615175808083582,1.2811618196372165,1.3043184274483524,1.330925818960247,1.3444724256263072,1.3738104002233942,1.4315759910160173,1.402880383345765,1.361167684537278,1.4278372524806617,1.4568142445588825,1.4374168603741488,1.4315775556585453,1.542405461140052,1.558800998582345,1.4715463975129903,1.5168916301857978,1.5958770615805105,1.7229541834893356,1.613514967306634,1.5278039683153894,2.0359713918955387,2.0585091869635628,1.619358738345712,1.5297278214661898,1.4295870632084042,1.3870945882179002,1.5733961732728121,1.4694244496111122,1.4530272728291886,1.4161305885012658,1.4044244629958824,1.279720497901572,1.2820190017430206,1.1818866036957627,1.4140398987149392,1.192492909342415,1.2005721863392502,1.4398023455435336,1.2976581809149899,1.3111904829841432,1.1203655559341372,1.0810720851759168,1.0993191673855292,1.481367401465105,1.0601731954597426,2.214570464108815,2.290242248418954,2.947881883300755],[1.0397900639910254,1.0756369071357348,1.1350337204239664,0.8873221657106144,1.0115552838489736,0.8740199925337115,0.8615396901150415,0.8919629974217216,0.7884655522585444,0.7452630334813257,0.7410908905374998,0.786704279438052,0.8134158343595675,0.7353175565659875,0.8479578075541196,0.8350204093659904,0.8445940486891449,0.9463110224534744,1.1141080094662204,1.0605881605963294,1.1929276885111668,1.2353020765112759,1.4639488258208786,1.550910650440092,1.3866849888135144,1.2083226119579356,1.083295540362348,0.9570737282134171,0.9261647695024424,0.8506693293900041,0.923185391578656,0.8380532694108314,0.8569088105958927,0.8990198185272369,0.9109131607787191,0.9617287897234483,0.8980227295862979,1.019486585997238,1.0004337171610425,1.0804419815223503,1.1581964903431412,1.1669647513535215,1.251222954481721,1.4219595928689146,1.970423074126112,2.0840406632722526,2.352146939037848,1.6646806243412775,1.4363816923280437,1.798345823135361,1.5487887483373082,1.6561577188948096,1.5249361662481316,1.6436786388867752,2.527454398060235,1.5306724863733399,1.3815251640855004,2.246070815728521,1.921934040982817,1.530024569298401,1.2679082167584448,1.2342631519481,1.2084797466323687,1.2937558993616154,1.2193576951441851,1.1672199680330553,1.1901382765882687,1.0504049084412044,1.1068172841786021,1.0331252486109437,1.1893533151459625,1.4086987243929645,1.1191092860934841,1.3177857647735254,1.0810321342678169,1.2773438939110042,1.0890155469270193,1.0573524843513833,1.0842390394299317,1.1700649072663132,1.0084353020772852,1.0966723258621114,1.1114049325066597,1.2139775956648902,1.0198588052150692,0.9566933737429488,0.98627631214144,0.954345090847062,1.0374615788156274,1.0139998987495387,1.0043342664649573,1.170046800314748,1.0460602985903162,0.9170351095238859,0.8631934675674959,0.889183592771249,0.9362835354463824,0.820584845729808,0.8054698395600914,0.8469469473937291,0.8454912093660015,0.9166753725769399,0.9399554770696817,0.9972749341278632,1.2330804045472112,0.9817471464055088,1.1219185362868358,1.2636927973577268,1.1236751680820092,1.0752117270984907,1.0379512285755632,0.9160343640033368,0.8484469542896776,0.7816210473687125,0.7699489845114221,0.79870417489464,0.8796310856168873,0.9681746876254794,1.129425840776897,0.9488610701382649,0.9575252799323274,0.8242185509821974,0.8327412129682052,0.7060186156413946,0.7111456242113227,0.7520811848378843,1.0181814139695342,0.9340300045893332,1.062763757623713,1.0712797631424475,1.119382312290652,1.1770550707679268,1.120351124622176,1.0594981127510794,1.032866306099653,0.9247307537515951,1.0552075741109037,0.8641284398620058,0.8563556166131379,0.8876164249894722,1.1031108624711723,1.314295043755454,1.052716385015988,0.9470210885893208,1.0071594098283814,0.8933220528746053,0.8332137609942506,0.8123811908611377,0.8492933709850142,0.8415259141115512,0.9054941528909152,0.8633964604222977,1.066826232469444,1.1724266832688743,1.1176458984900128,0.8741481243891946,0.8462489399435884,0.8782237726373767,0.8628544751592321,0.959079933578705,0.9307529259675761,0.8848590680241817,0.9043895164003529,0.9861233993756809,0.9908939158943011,1.127511799815745,1.0925295732556162,1.2589078619855454,1.2224990370886168,1.0548467757131057,1.02583099129959,0.9538099334648685,0.9760046012779721,0.9558644401726434,0.9307868475656853,0.9607907837985865,0.9060307578731975,0.9591147464310544,0.96549103895485,1.0094672267140765,0.9745118676789859,1.0303093142918014,1.128179206321075,1.1696567807215625,1.0741300871969583,1.1055802745988084,1.1721951051161401,1.4092948138824348,1.8618442168120506,1.5238570221133207,1.5712988340766056,1.3131606385275272,1.3000319808883962,1.321194657067688,1.2734457070001042,1.4250653051999373,1.306939324328379,1.3196975268296145,1.2744023266843987,1.199746200688653,1.242294405536283,1.1917051041428866,1.1451468328869463,1.2152174939887013,1.2139508209396896,1.1955646293412259,1.2454452723715776,1.2590724349700582,1.2270979574935093,1.2674632453924957,1.322493255913658,1.3152582284726335,1.2753616033809423,1.4039640688544155,1.46531067684606,1.5001335837447634,1.4770854472540549,1.5203984136491984,1.3845676891653143,1.4071649270155975,1.4242245590074127,1.6120523757339105,1.627075583898394,1.536533702797045,1.588378119830318,1.3633900016217286,1.3944838860656337,1.3919104409290564,1.4927124728113765,1.407966900548114,1.3946200726878677,1.5098371361996887,1.4024727117557707,1.3761060263102167,1.7280962188444644,1.7035359953447562,1.5103176240690985,1.471585523909898,1.3258995641931859,1.3889565672390995,1.361727837916941,1.3318258729158128,1.41844704505838,1.353466064581443,1.4299357785075126,1.3716899012509554,1.3958228263077408,1.3510048394318386,1.3336128684323518,1.242026195716722,1.2353985958677605,1.2781387018625687,1.2206568834825013,1.2486838313051936,1.2485656305069994,1.3465599106317032,1.2621669403634692,1.2678916333987749,1.2860522830530972,1.26631130638874,1.2728126846766004,1.3264537626049389,1.3168805732604723,1.2786065042913834,1.302576489140388,1.3454041044623153,1.3540056824355151,1.3183233141014548,1.407546502156787,1.4762155798490821,1.3950979369957037,1.3986878033226076,1.4942286345380538,1.6453348025613506,1.539084267382053,1.4762233540623189,1.9900792004222843,2.0480154625314566,1.6327284214529743,1.5635785610651136,1.429776312849642,1.4112184230055664,1.6227697623043202,1.4940219196652167,1.456838537205675,1.3570546528265095,1.3176862901046402,1.1839176188476441,1.1631528791999806,1.0856168020607648,1.2663052479181356,1.1077146312533626,1.0760692251769737,1.4132950473745876,1.3072040421964153,1.1911321029593989,1.0575743661443708,1.080360943566976,1.0338660598180838,1.4635332547960098,1.0561121780650227,2.053338627449061,2.081680247506971,2.684494381031311],[0.8671307011551442,0.897214296610976,0.9262535845514929,0.7508502110970345,0.9739108714976368,0.7985130969977333,0.82974432036425,0.8783051416608235,0.7804892245174981,0.7917999701923188,0.8081209506494408,0.8523072399315599,0.8940579327992825,0.8217377633294465,0.9536346623266261,0.9543318267423023,0.9688359220952141,1.042973051865463,1.1804011070279976,1.1759167328112856,1.3264986543697301,1.3888401833038966,1.605496967118841,1.702399537845778,1.5344708426530704,1.3058749002182612,1.1747928523484337,1.053527629238366,1.03244703192556,0.9894691541644732,1.0380314953870236,0.9722252659888463,0.9952681338920087,1.0336062137780095,1.0444411317939553,1.0789940223376717,1.0454388037194497,1.1618522319875308,1.1380368924556463,1.2798072717228437,1.2718658375199896,1.2886203949364774,1.3740547580153155,1.4976477378454518,2.0224527924851583,2.0479342919931725,2.4468572922134593,1.7957902188181494,1.531051434217083,1.971927356331073,1.7824278255970938,1.8249159374355357,1.7785741070786525,1.9764354665670794,2.760050623010739,1.7433582570467077,1.6218559755877404,2.4814771820652086,2.0511854884968304,1.7031406228517565,1.443390512656355,1.4010481550959468,1.3932289838419436,1.4928684120263584,1.3650632899436752,1.3207569379639814,1.3402713183257973,1.1696088002531604,1.1857777331515484,1.1219446355416756,1.2542857809968613,1.5157140997854295,1.2073528954829145,1.3860620182103334,1.1878464338228822,1.4008772121383137,1.206822683476905,1.2007780659769336,1.2450238705688321,1.3556932691336236,1.218229419455745,1.3295500248166836,1.2390811876479226,1.4233718614879203,1.2302710248493316,1.126124311779792,1.1641996811075512,1.1303100707934655,1.1703177844717134,1.1502169650455567,1.1275541674701304,1.3112959956253587,1.1880822181097823,1.055994402212991,0.9848674599984767,1.007304646915739,1.016486700972216,0.9293367380672833,0.8847590221410209,0.9072914444224418,0.9609831814210928,0.9935974117954465,1.0715033714081799,1.076759812507451,1.2925499365405801,1.1111157203974016,1.239375103966907,1.3347272274478854,1.136816327907137,1.1188415338667779,1.0341783776785811,0.9848819947036703,0.892459268859964,0.8753695613769942,0.8753669531270516,0.9020965663084207,0.9667656526674948,1.0065603821916989,1.1740696541936964,1.01441050506193,1.018746153103415,0.9192165687577674,0.8973280044078178,0.7954780969818641,0.7790998237070735,0.8376857449010788,0.9843979542293944,1.0024763524010156,1.0759584115852117,1.1558106331360962,1.174311075736847,1.2931031973213323,1.3299775371413471,1.2732398807828589,1.218034733669641,1.0704441720257163,1.1140923971810615,0.9615029018937832,0.9179821869056749,0.9950531837298575,1.1187904300013607,1.3733217701670573,1.126407975335621,1.0317237612252643,1.1427628608605014,1.0200284291564576,0.9580888740988168,0.9284287438969931,0.9597637266207942,0.9037169311339092,0.9487294371385934,0.8896851705563278,1.080793968690687,1.1253450084535868,1.14298924539052,0.9271336484074794,0.9104344110117518,0.9514162129709267,0.9662972646661394,1.0808529975988563,1.0861444007302476,1.0402302181317802,1.0432851983774774,1.1462384980504994,1.2008100980516112,1.2396079756775877,1.3048027576975603,1.4927692752154034,1.445235963600376,1.2081998176147395,1.217283262736086,1.1276991263079255,1.1741533055439308,1.157597793281883,1.1244721246642826,1.1322218816829186,1.0479145764715827,1.1280357009908086,1.1804222094861938,1.2181061937761675,1.2228949756396092,1.2185462289719364,1.3551269684217386,1.4249344701190614,1.3200528206600588,1.3574383356287123,1.4099488667505904,1.7848624560744397,2.0063358354086844,1.8717066330616265,1.9559898798288904,1.6100531755286844,1.6130071576756877,1.5991506262632065,1.5402035067747726,1.6337122855471582,1.4290935783246248,1.4109680372640951,1.28500127164623,1.1969849562451507,1.2242279341997961,1.1522827001077256,1.0830818552208075,1.1209571011057589,1.121147796660802,1.0706960252156248,1.087201801792073,1.1285160158349568,1.0993629689103424,1.0986146040702296,1.1598790781257853,1.1653302354829864,1.093414073655458,1.2290445756045978,1.3374379106034668,1.3635514037492904,1.3287084508772256,1.398603000994108,1.2583213438913698,1.292504447497386,1.3953435678801762,1.5472696427615296,1.6347383474972021,1.5233862703697727,1.5850864106389648,1.4110685036132582,1.4278141496329508,1.479541890502241,1.5728059488876205,1.4581036002911183,1.480136432615297,1.6142823852227723,1.4818105974569589,1.4631119575799543,1.8598373993982895,1.8367374510309962,1.6070605135885474,1.5801568096845897,1.353814608613143,1.4359408082897684,1.4143468227031017,1.3367594729253889,1.4189079994848914,1.3541032873232086,1.4208560031796538,1.3383649945066247,1.3439844048484577,1.2788712154326345,1.2480507362986744,1.153956819945992,1.1420118057971362,1.1687778350238969,1.089707629546114,1.144807475313197,1.1141337977394756,1.2050189832803577,1.1067277258468315,1.1307342934942544,1.1606014639542557,1.1749137470539004,1.209191501792811,1.2995549014897545,1.2441487230283679,1.190822273530402,1.2863204741854768,1.3230623836404647,1.2773944488097213,1.273947796102874,1.430031589242061,1.4684522964215772,1.320893606565591,1.4163369343332115,1.5275293799745815,1.6198557330603593,1.4939187298060719,1.3769116289855388,1.9068550681520413,1.8671807768944466,1.5344000777457152,1.399841618434998,1.25202650215054,1.2168225135696837,1.4155247628540961,1.2824073230976187,1.2943827174124936,1.2057054983982487,1.194910803001095,1.080226633376032,1.1125700047338984,1.0258458430610058,1.2293681186578846,1.0254327177173184,1.0422760582933912,1.26986601830761,1.1482522321636506,1.1436675464355497,0.9318225878984515,0.9178448577382589,0.9441355756488127,1.415363859756508,0.9028654482489762,1.8938542117469432,2.117145131211366,2.674731345298639],[0.9228970832618142,0.8965156666266029,0.9259153179870799,0.6440043442016102,0.7166366056873765,0.6624340515648685,0.6908226223652264,0.7174804704519919,0.66130473736477,0.6484187609788297,0.6529984122727216,0.6947761573086476,0.7568721523197862,0.6800343461484583,0.8071841077160495,0.8180071157092336,0.838196365224223,0.9574148554074076,1.1237879904536006,1.096915022045371,1.222448352824218,1.3122162188118525,1.5101824837817543,1.6067217850366464,1.437799085946227,1.2374418336278439,1.1410010116254148,0.9813455911915556,0.9560708391673969,0.8666315623543704,0.9151182123363665,0.8370302394569284,0.8516731293467827,0.9173845639852972,0.9486494956157253,1.0046053974980809,0.9444435168172535,1.0898068427124425,1.0989311833593158,1.2127990744944919,1.2868561333288666,1.2618206379042338,1.368629790529537,1.5518357039568267,2.03039176168853,2.155803264742656,2.4508647410098736,1.8072917209045471,1.612590150883839,1.9640745658652545,1.7782595684305071,1.8179256127294823,1.734142222399311,1.7353833537664132,2.5894549325042564,1.704342959438789,1.5456688720558223,2.3008286102170628,2.005535959100375,1.6933928271091923,1.3597252565089433,1.2978888775619741,1.2603550275432331,1.3482939513297554,1.3025507480578555,1.2251300368378832,1.2070329140944305,1.0685786325347075,1.1074575509307145,1.019039845206877,1.1538485875030884,1.3421205108544694,1.084806446238944,1.288086971230017,1.0740305586532173,1.2784901249510185,1.1364176628114384,1.105714194912733,1.1544769724607955,1.2582931810166613,1.1069623888718807,1.203866760764718,1.193780097353376,1.3043559003889302,1.1414774880333507,1.0620638093362942,1.090204834374375,1.042294375133712,1.1005350784890644,1.0695697850078139,1.0213381640619552,1.1606173617448585,1.0255088979534788,0.8860623599713665,0.8272458593364886,0.8403776703369449,0.8873046073032851,0.7774527477080481,0.7386912215009928,0.7831117854134232,0.8097702137486532,0.8354297256488149,0.8910223450177125,0.9082296709694734,1.1743418234568812,0.9128537338669811,0.9938801153425002,1.0952068311213454,0.9089496751567093,0.8788066542744862,0.8208178423872124,0.7902245832109978,0.7138397531639769,0.7255290694417863,0.7295974557387245,0.7807197045107432,0.8660473898721898,0.9548105104180219,1.0977197629789142,0.9292171307704439,0.9234013999067145,0.7821966773852123,0.7926480808478448,0.6641597888756678,0.5997600053575791,0.6515790588350856,0.7857123007845734,0.7621190292063887,0.8788650611086568,0.9664578803617689,0.9650333101218852,1.0513800754942881,1.0738489416495127,1.0356261913367149,1.026592868118652,0.8929665236199319,0.8666392496332682,0.8521569709752518,0.8904510389405355,0.9337794805818227,1.1000850322932345,1.3111160773263342,1.0765861147628697,0.9929349322534644,1.083595696942203,0.9456012190429152,0.8711474819909939,0.8086398856104925,0.7937860667919394,0.7400789417554252,0.7782562257127074,0.7067465372938269,0.932852383681641,1.0863916665079356,0.9993870066935862,0.7666045197971311,0.7408197932208693,0.7880673990272796,0.7987779590441615,0.8693658995217631,0.901482246812202,0.9425883836641952,0.9858176318790101,1.099666767096778,1.128855618418779,1.2709237425357751,1.231054404653956,1.3928941176230876,1.2633100507835502,1.1461887978217333,1.06848316219619,1.0074589547580037,1.0659431051518349,1.0333413535239606,1.0039142726048305,0.992302360401081,0.9384201078422247,1.0389278043561088,1.0672490225981555,1.1083146796780903,1.0795963444105492,1.020880284550811,1.2022426274246993,1.3025943246365115,1.1913643503364901,1.2700597182180566,1.2904783418013348,1.5485066158223482,1.944330448609098,1.6865102423559946,1.7379608244748515,1.4325882271142008,1.3864920704256944,1.3580870456903382,1.2817501487934648,1.3821759103729663,1.2030338976309902,1.1529569584680281,1.0218045902801005,0.9724953656782017,0.9640007476523682,0.9158262014201718,0.8630934639889604,0.9028555592154273,0.9161023349175816,0.8930106822304944,0.9566889399659667,0.9929252880923664,0.9536057057069697,1.0177666782108028,1.1325467387210233,1.1408121120134902,1.0776585489515251,1.2784453846612096,1.3951828222947116,1.3958867103994954,1.3488213707987444,1.4317821288014272,1.2097323613591164,1.2494129407720345,1.2889068607242276,1.4769206128354837,1.4532499515233381,1.3426719082734424,1.446356019628873,1.1513422768945474,1.1377680175098486,1.1815848830639386,1.2387573317495153,1.1123559259320912,1.2188828791982624,1.3986228151105606,1.1920521572269778,1.1657735687306487,1.530997424516329,1.5774725389778055,1.3671277634640233,1.2710430214262538,1.0796033970791503,1.2610189591018608,1.1547608263302391,1.0679435279970697,1.1388523505715638,1.1195486248068234,1.1601420718930295,1.0967022709051284,1.1314955173618457,1.0514578870021636,1.0484378560870968,0.939025291657449,0.9335609096862244,0.9830712445738065,0.9292227393271664,0.9742350291817736,0.9684222200534887,1.1228224039127739,1.040763967468119,1.0390533163970983,1.0501614360476128,0.996031242679743,0.9968827161214223,1.093837356263358,1.0725098766962826,1.0135901246641592,1.0406001206657334,1.1145421592357618,1.1236529382787137,1.0369736711707978,1.1649846317369625,1.3434620124665997,1.1775285435534133,1.1528195095254283,1.3357965833504737,1.5293565196369394,1.3843179337363467,1.325554067281369,1.9528494139436516,1.9401153840253311,1.645551449352861,1.4751558963510831,1.2288008557614205,1.208080894083036,1.4532183025007046,1.2781733729538565,1.3024519460078205,1.049942589466675,0.9945626459699847,0.8443243745973845,0.8927127657548788,0.8338589927203338,0.9221558921649194,0.8638148453816098,0.802450876340347,1.1120751778804014,1.1223544498325655,0.9526731339840443,0.7974830348713721,0.849398110232695,0.8032824400568404,1.455175316705263,0.9320591617318295,1.54404610321509,1.917080548004129,2.481154164210607],[0.7523874582412103,0.7429531058884548,0.8189823000511414,0.5317840638130431,0.6569163758131449,0.5773786214768113,0.6055574992619301,0.6201783890754535,0.5827894291823584,0.5533777623666125,0.5563507691096237,0.5796387741017697,0.6421808536678338,0.5741552011339762,0.7052569398824011,0.7070026651529943,0.7309849828536937,0.8158589269733361,0.9723829957149531,0.9442387652085517,1.0752446387202355,1.1436642125332195,1.3639482109589105,1.445042725613774,1.3128215962632892,1.078041789100888,0.9729097701820473,0.8331401582594162,0.8129104220549351,0.7388941002497001,0.7960232322847081,0.7086478935349287,0.7315631484366639,0.7845361080907791,0.8058819599386751,0.8608355194693642,0.797919816691555,0.9296813939271447,0.9226537792997727,1.028606485590622,1.0924566061068988,1.0755761398037316,1.1689211017443535,1.3357080515195183,1.886526638155199,1.9762981567680096,2.303613344634037,1.6152560378625542,1.385940811144592,1.794511448991005,1.5733122266500474,1.6694626751481425,1.5312659291820145,1.6284388646871473,2.529424987359888,1.5082047057314854,1.3603728344409813,2.20977778190834,1.8843558258213657,1.5079723478380815,1.2000348922701736,1.1555608431369904,1.12156876675445,1.19552007504686,1.132916304226704,1.0689243325381297,1.0872997336807382,0.9247315212294018,0.9661116166875443,0.9083296327665843,1.0666242239956627,1.296202857572299,1.0001414283537844,1.1916699460294382,0.9514798920461179,1.2009629488646072,0.9874581324680181,0.9570165339776705,0.9976737561241074,1.1023861043725554,0.9422666886471963,1.0444751955659473,1.0326423204473154,1.1605723065091662,1.002992589946226,0.9000647097801043,0.9210230318439337,0.8887999476386296,0.9420849806777891,0.9212852503621243,0.8908000932584212,1.0778838282097734,0.9347748572509806,0.792402226877204,0.731563093224566,0.7720324183660954,0.8121204566493703,0.6617082920086659,0.6115543339860587,0.6625691537570223,0.680770426994322,0.7151261943734153,0.7512262654105857,0.7720294000518788,1.0126219411663635,0.799977718273373,0.8793281998903557,0.999321825045567,0.813085208505432,0.7867718918573159,0.7225212204612885,0.6903170724684985,0.6119246496031128,0.6192676823861706,0.6276611019171654,0.6814001276045999,0.7581045437232725,0.8243625579605872,0.9569274891404628,0.8034430941524979,0.8153429937765613,0.6935724702519097,0.6989319979514247,0.5727623342175333,0.530946193624472,0.5690985618838224,0.6991782844769836,0.6851217267004855,0.776791894017905,0.8588855003321826,0.8746969707317064,0.948812726552075,0.968956874735543,0.9195233409413934,0.9044159849589385,0.7872336719278006,0.8052509183655538,0.7567236945454556,0.7888580226747396,0.8197154063185739,0.9880636562165408,1.2259551376020776,0.9401665055049339,0.842354416342201,0.9317971491162197,0.7867278873012162,0.723720706183236,0.6608263083227119,0.6638523471171641,0.6409899627574374,0.6804466948603773,0.6153116234103536,0.8177372355178446,1.0170290010452594,0.9862748578176436,0.6466140492198608,0.6126348039518671,0.6629927953828252,0.6665878956769675,0.7580988554927014,0.7785365371329956,0.7928216638947471,0.8322208280050547,0.9344378545395505,0.9650155273365609,1.1010911101756053,1.08601718529335,1.2813213478704084,1.181948045572661,1.0332762679029481,0.9550546972336594,0.8923126603364474,0.9250226011346447,0.8888132481275418,0.8562129688529722,0.8460570034387002,0.7811500301380424,0.8750587428948803,0.9237921183824246,0.9525496227506454,0.9333929909527223,0.8884536795490324,1.0624071141165212,1.1508114947102142,1.0478479958930738,1.0950781379289005,1.1355795274642988,1.4119800374727423,1.8580196919372367,1.5540520128966007,1.6152022772700838,1.322683217824852,1.2944891732296462,1.2704564507699048,1.1830149432612203,1.2903379190661775,1.126176476796827,1.0756326090120818,0.942398779943374,0.9029744194391901,0.8530887370755067,0.8011816147359488,0.7550957850570282,0.7692810912637752,0.7748985126982162,0.7598310848727315,0.8027501922727357,0.8249418039700364,0.804773243107818,0.8797811866762979,0.9672612524547428,0.9768952628334193,0.9441760525070881,1.1431059656127183,1.251167102899304,1.240723552557488,1.1900125021261256,1.199676108787988,1.0099787503094984,1.0510920027145079,1.1215419242088127,1.3134900126858373,1.2672360344850526,1.2402808679789243,1.356935918936506,1.035003866680864,1.0264715146477486,1.075168250407708,1.146968556493341,1.0004036665398561,1.1299222940758296,1.336818365509628,1.1395516175878873,1.1007286108913417,1.4642251333722622,1.5412809847059257,1.3062042419382907,1.242846140958116,0.9891206476040957,1.167132395237287,1.0514548345831773,0.9495911037261059,1.0338295278565865,1.002377241531419,1.043360473900393,0.9735584129984122,0.9939928379037497,0.9131992546311928,0.9218448666065586,0.8065814736361974,0.8055947348971674,0.8718774962176503,0.7956595270924616,0.824956974371455,0.8310703305795522,1.018284056493417,0.8905904698512768,0.8773339117080564,0.8910244070124042,0.8417896284274241,0.8461459575000971,0.9495984368136319,0.9002014447167174,0.8532617282538532,0.8928477991793055,0.9470535856319575,0.9474007257653976,0.8855416222803131,1.0276582720096716,1.1995251445370727,0.9844092530926614,1.0483324420180673,1.1999916395489443,1.3596281493876898,1.2005421653883184,1.0847664876751162,1.6722507067494436,1.670229715382659,1.3769538677235815,1.2590480723764748,1.0287155881409908,1.0565171603872234,1.29372624124355,1.0619462992307438,1.0356991822404815,0.8184265669997419,0.8333315552098894,0.7354623884665504,0.8107684991943654,0.7371372369265915,0.8381787159135202,0.7823919206517772,0.6879852826594725,1.107888456175523,1.0309468782519895,0.8233730486678887,0.6748865469396612,0.7387237777001915,0.6965641651006287,1.2809361529768042,0.8250456037310533,1.4935164583814913,1.8578602414146321,2.3681320027364814],[0.7440671469781669,0.7444129767169658,0.810634122900502,0.5595691032005824,0.7158639004490089,0.6065831741756285,0.6241595775913744,0.6438546617005079,0.5868280242589337,0.5684854947218585,0.5685813705023817,0.5939389991696493,0.6537578893778583,0.5899516515803145,0.7420685477550797,0.7374665134833348,0.7397024670465935,0.8350341965148191,0.9847024865478153,0.9958225990290849,1.150084939125415,1.2343582256405625,1.4530967920044258,1.5524884430230161,1.4021791329467959,1.1316170898916937,1.005417635380614,0.8657654786673796,0.839596309769389,0.7746997293580168,0.8292870101832829,0.7486186354645625,0.7691655497366345,0.8285721846858253,0.8511082950169914,0.9013599833236046,0.8429575206866103,0.9882772239595471,0.9745625090703978,1.131251099301898,1.1408780608384617,1.134208976232025,1.2415798735357708,1.3855904964972001,1.9443946685151179,1.9757312135210048,2.386957229786933,1.711187755379722,1.4283778223107566,1.8685455802104793,1.7052558943187626,1.774688068250862,1.6759097926998252,1.8001855011427126,2.6016210065714707,1.6000223345276812,1.4727295554360647,2.3019292448825985,1.9034841140944416,1.5771103461414226,1.296951317852308,1.2405114211240347,1.2374977016012567,1.3344957769320276,1.2256140262055002,1.153459304124285,1.173119609093357,0.9752053719948323,0.9943329211843004,0.9424687869286632,1.0918035636507093,1.3710375306998956,1.036344491337791,1.2381557211922274,0.9966434494387983,1.2889561163379337,1.0339036441913438,1.0185945308207855,1.0648257081576993,1.1781195220301057,1.0225864399644307,1.1394826172247228,1.0955808812490702,1.22943406846993,1.0476355566948758,0.9440729973635892,0.988424233940475,0.9414707693400599,0.9902717983379856,0.9637504083756887,0.940515544469328,1.1370383232102328,0.9853039476448833,0.8460628474819873,0.7739310599864365,0.8018089104756138,0.8401287050911752,0.6968227359182564,0.640610157204546,0.6836752903608228,0.7095656015079069,0.7366010892929656,0.8129704941553993,0.8254026645386418,1.0776499257840022,0.8441451879890532,0.9543548619246645,1.0757900202994597,0.854823435782037,0.841777060792572,0.7606475042718485,0.7286544592835483,0.6475635397486149,0.6430524777047597,0.6432325559200701,0.6884724370473689,0.7770814550473463,0.8292091813041088,0.9867353054151939,0.8174573505035256,0.8121499367747118,0.688507094835311,0.6795305084378575,0.5797541914705105,0.5565944333916936,0.6002514029140567,0.7393998254016935,0.7189514412719419,0.8130588054334059,0.8994798714430166,0.905998458535689,1.002223761294571,1.038426398055215,0.9857639932304588,0.9555313885042729,0.8219486237976104,0.8507124615581226,0.7712387426167826,0.7712430207420895,0.8325892781373243,0.9812009501728692,1.289243602334761,0.9669263162380362,0.8486331232225337,0.9685523995851327,0.8145699815804631,0.7473967849457612,0.6970437105099532,0.7129360355210246,0.6617760753819841,0.7001453019766736,0.6349958075617345,0.832677254524938,1.0287177764424131,1.0279240393166669,0.6670631271036853,0.6503585453379406,0.6897312663388855,0.7198582051624487,0.8208755706511962,0.8412842318628282,0.8272315489484161,0.8581408412245694,0.9726060338754794,1.0120272981500862,1.1155070761740902,1.1434353298270035,1.3496265715783444,1.2446157185936597,1.0414429955869016,0.9981807911563222,0.9255936823060594,0.9658229452777127,0.9334688937508001,0.9020164846106248,0.8997042118917853,0.8210951887331374,0.9104040255766456,0.9628664593367128,1.000198667844819,0.9928493624169061,0.964495742160458,1.1399415767951333,1.2399571032213397,1.1262308120257216,1.1938253657078022,1.2632649597449428,1.5964863356618313,1.892384571080346,1.7115680390581614,1.8118012046600342,1.4376498238210504,1.394862887597514,1.3511829159739706,1.2589740215729281,1.3631072670323492,1.1678147894919897,1.1247304228960076,0.9804768441851451,0.9241890838401544,0.8956901375407168,0.8350724545750814,0.7845164098602655,0.8091999932562491,0.8145606591611191,0.7914200521691275,0.8280918872973276,0.8587717457639858,0.8326202908554768,0.8948526242084783,0.9773116395629856,0.9911515122175543,0.9531794480104847,1.1382808808013645,1.260268022424683,1.2511755576052686,1.2154148104956537,1.2276188696132693,1.0462207875745353,1.0872315925599612,1.1703284924621002,1.3543963996497914,1.3045626973309454,1.2906531323515187,1.4110570111194567,1.1017879945998152,1.0892283177749027,1.145258430590554,1.21742268110814,1.0685889114271467,1.195923445035192,1.407274752248248,1.198492516375369,1.1582802579901883,1.5373149043539984,1.5967176392673537,1.3670687685655472,1.2769597933141121,1.0396111872989346,1.209798226613916,1.1127163203850718,1.0086703097424443,1.0955263778721138,1.0509800501952775,1.102272675574925,1.0225319746475376,1.0317346523925977,0.9532953585075875,0.9566784397929454,0.837023924094646,0.8298613702485399,0.8858300125837716,0.8103820278876533,0.852656562967323,0.8468033032565263,1.0120221478576565,0.9023535776265738,0.8963555815569944,0.9152332168713273,0.8781543406343434,0.8894886350802998,1.000070166773904,0.9459842832162964,0.8922342753189082,0.9471122071767759,1.009118824614685,0.9998862793810662,0.9377720896459476,1.0928360680034808,1.2732819255997911,1.039410965496985,1.0935302328877279,1.2724267348272174,1.4172487412678467,1.2356659920854849,1.1071138301927728,1.674624893941236,1.6323519462937628,1.4012462003394226,1.2525023004547664,1.0396036440209206,1.0583139109292494,1.2770781789451517,1.0602846358250486,1.0461550335368257,0.8531492037345686,0.8723828678271168,0.777348621988309,0.8355911420658765,0.7678286555551883,0.9009302448010719,0.7984881180655802,0.7283586158143199,1.126058322857176,1.0270569612480056,0.8667176607763064,0.7036555230092747,0.7388109620040968,0.7327954396948618,1.2849466203868092,0.834598726834789,1.5146999479284418,1.8415698031306327,2.3783348997142704],[0.6635025954540714,0.6666817238132708,0.899588062973263,0.47624290940162334,0.5712354258273389,0.5254233584218417,0.5573371435396275,0.5639859634724603,0.5450070423351138,0.5498532208040273,0.5662864792181033,0.5565917106944676,0.6328642185921695,0.5912313194442961,0.7278747790482396,0.7009029415583762,0.7033742196899815,0.8014858474290484,0.9762337240812313,0.9780699507041782,1.1519455245427244,1.246657772165253,1.4872979557696075,1.5870952808103915,1.4189637153917827,1.1405051242245485,0.9979281499971763,0.832082655592639,0.7945922653615057,0.7070961850070138,0.7937637153794104,0.6899232534387736,0.7021604260715146,0.7707002276774382,0.7936353356162064,0.8438977770374192,0.7755550089443076,0.9383905535526208,0.9274724626607971,1.1044191476554086,1.1325362637685312,1.1424175645605175,1.2524140113298663,1.4085426203393487,1.9898318510292623,1.9963207937071044,2.4067261141674,1.7390308843520013,1.4302991957618973,1.9017517670127064,1.7173668379969695,1.7342042425307662,1.71425356664209,1.883588232586219,2.700860390779527,1.6935894412352541,1.5682450152949894,2.4339216367803647,2.031745431306351,1.6424984147759736,1.3783697412551044,1.3049068171971057,1.266058053409898,1.358355714897968,1.2637435649014788,1.1679692360809402,1.1709851945988128,0.9626748245652499,0.9919840003111332,0.9647168574635173,1.095699621247196,1.3928133121641473,1.0424793646072381,1.1925869720028357,1.004181861570408,1.3003267043686284,0.9927443238400252,0.9675207249935273,0.996598511220128,1.1017080396626044,0.9796971107746214,1.11163449026212,1.0525998417679583,1.2290368196072905,1.0239406213738576,0.8903939861568155,0.9436314432360435,0.9022510216555448,0.93071057339283,0.9059624094104501,0.8884116975530064,1.1088596632044607,0.9607543636547193,0.8203138767420198,0.7483805107182133,0.8051620248097747,0.8639849893506385,0.6474006043700885,0.5631816545914289,0.6159056888899609,0.623297864834473,0.6629170603293966,0.7213072245909601,0.7583687741082886,1.0398979665972075,0.8001735117601945,0.9327552689929257,1.0943047806178083,0.8892573397582665,0.8095224240309976,0.7039248960390747,0.6493488260829964,0.5649559180126323,0.574052203255758,0.6118623207445637,0.6545665114111074,0.7381622488550522,0.8204761359602485,1.0052130126246188,0.8144753134853657,0.8266747378361453,0.695023377573445,0.6862002469793512,0.5711167780506825,0.5313708748507231,0.5457645205057012,0.6412941775278388,0.655513318986561,0.8049350406221755,0.8908422219872899,0.9529334748719689,1.0756629317198176,1.0682019126233562,0.9839510809717268,0.9347732026667348,0.7765146981171615,0.8319127843837482,0.7149706179201271,0.7173621269021924,0.811793247859893,1.0024943783852307,1.3739900559030465,0.9640833886332043,0.8459065387107971,0.94926421239186,0.7750208406698536,0.7031340644877827,0.6259131772669044,0.625387764461075,0.589937802597387,0.6252932933603008,0.5618434405633962,0.7716679139316982,1.014157002614637,1.006955554373466,0.5821669490824652,0.566672161416122,0.6065010280153095,0.6271986224443951,0.7296478815715729,0.756599890457082,0.7679159233138962,0.8011954232526765,0.898970092327776,0.976381470976242,1.057663267174371,1.1157794726001988,1.3298092348352932,1.2211619493379222,1.0018453052087946,0.9527367298286399,0.8615326444547481,0.9131855164726922,0.8702876938870537,0.8309241917227547,0.8264178469864826,0.7534165220858657,0.8401937701902448,0.8952435263183622,0.9387430781124233,0.9505943148420911,0.9070059709142216,1.109845133829847,1.2097421015039656,1.080512474046423,1.1428668297901678,1.2430758288010308,1.614195092531429,1.8949007451895032,1.6850203549574683,1.7874462987910247,1.3929488756771986,1.3806037724808247,1.3613942499627183,1.2989957320076055,1.4236532329630467,1.246861009367958,1.244890375787743,1.159808728396267,1.0500564665675545,1.1073431178765873,1.00593852009208,0.9234209089572665,1.0079772249281165,1.0334593435692292,0.9677241831944088,1.009045995706731,1.0694016602198295,1.0375706826277011,1.0463016039467803,1.1401404312508814,1.1705481118072978,1.1184703954165056,1.2743794148119574,1.402392704170744,1.390692521713661,1.4373457729590136,1.4455158299933228,1.3017684902644893,1.3654512502002754,1.5169669129691825,1.642807380354408,1.590977502808795,1.5235329949931533,1.6371696499446295,1.363908773248532,1.304794592502412,1.3934294959018907,1.4593581010344674,1.3022280470513563,1.4304275576550083,1.6986010943737104,1.512396307847757,1.4193177087968207,1.6963262838153168,1.8540053617012695,1.6173394642563907,1.4838715533214495,1.2806815382063372,1.3694160560620179,1.2961905411395385,1.2125534429147677,1.2439681311717719,1.2420163420347816,1.2191862858913707,1.1754103103677436,1.1889660363799337,1.0963118939279006,1.0884956321266304,1.0089891090795127,1.0027593881856816,1.0080980975974698,0.9614536776697413,1.0335661703068804,1.0319285722243237,1.1425155891674776,1.1195904204326852,1.1513830723414793,1.1739888758760941,1.1486459021646658,1.119964126584759,1.269280208412577,1.2348596494450974,1.1487916143948396,1.1992975166269602,1.2918353578212234,1.2694326193876335,1.1949340986261177,1.37232146527111,1.5532508706261972,1.3058873375716231,1.365006775511927,1.64316891717496,1.7760681061091925,1.5281741591529143,1.323327539563047,1.8010071312254154,1.6305193495213137,1.5977045317371232,1.399517108463394,1.2105842275713676,1.1871404028292223,1.3654879618455293,1.1628504405827125,1.2117534604216968,1.0366352384485151,1.073013264061194,0.8645846762897105,0.9677150164428595,0.7942450444394458,0.8113970493379452,0.9362093086199941,0.7987845130500804,1.2401659600912207,1.1339905973618907,0.7420971728437389,0.6463454881956833,0.7249098895174937,0.6146822369936048,1.160273667360506,0.8285533663595842,1.4004729100368236,1.794043450951253,2.311699989128086],[1.5899992374203906,1.5297092309707823,1.4568886933344296,1.3741170627308072,1.3307171821604076,1.3303761350900107,1.333621801237987,1.3245730008524337,1.434811616077676,1.4785831462245895,1.5415401760262706,1.4596819242378667,1.4757920197149919,1.5925805118625354,1.6588875438139394,1.5379721623720664,1.590321514592484,1.7071753637280498,1.9124185769002957,1.8049889561247223,2.0020756100184283,1.9496324613398623,2.2872958391788845,2.390017897808935,2.1987803315864896,1.9868289755622988,1.7464559566652624,1.6252320697124838,1.5888118818442494,1.456653136844436,1.6388554395283668,1.4592545253429836,1.4819252052999432,1.574843272683552,1.5319255316543203,1.6006631647528242,1.445521824901329,1.5760701101478658,1.5427243945842315,1.6166004219667798,1.6792269506240296,1.7566464838635618,1.8596367563440621,1.955743638972188,2.344193772447033,2.295814802302504,2.7219528349413715,2.17429585340173,1.9622018326211816,2.2399736722273986,2.2073217961896128,2.191293177609568,2.156719712951936,2.145520777629483,2.7423978349468037,2.036773407332823,1.9805591896643047,2.532182647077892,2.1718786538572914,2.1303051432825018,1.8770528225988068,1.8754128627965188,1.8876401667925553,2.0778903547747682,1.958258109846742,1.908020337524024,2.060503567391525,1.8881722216040067,2.0121014522749787,1.9305996484250603,2.0609596066894857,2.290629998363213,2.037182317842082,2.272862818325335,1.8992205581031265,2.004674926782692,1.8561231836225083,1.774299629910593,1.7300691244132356,1.7732794970499348,1.539202949353159,1.5959018559377065,1.4624057674194768,1.6229244815171866,1.4690186771633345,1.4339746593714846,1.5587890781175653,1.5025128953375912,1.6763025225542707,1.6678046716933446,1.7390912582551126,1.9431289926606552,1.8246569996969395,1.687026818344463,1.6385254633781496,1.7287270186906496,1.746692407812339,1.4791947896150413,1.382855054654143,1.3585316116354285,1.3144540573799501,1.2577332784843152,1.2984106191466986,1.202413621275698,1.2803729754557718,1.2125416062759116,1.2538672613734931,1.3004010413879379,1.1917213182974706,1.2009133330833899,1.2171667721148258,1.1906836325947658,1.255198607719549,1.2742222586442011,1.4403300836919042,1.4932717274444531,1.6169848026645954,1.7271891939528303,1.908086696288965,1.763753881084869,1.8413980506747465,1.6960929765656614,1.660260394697725,1.5088474789295894,1.4213065474615785,1.2795690096249928,1.30429312273128,1.199226486661708,1.1582576229197101,1.1863208445235074,1.2195562788701304,1.3310822715421076,1.3451803482673705,1.2878907290084392,1.2462450049264768,1.1719928272035247,1.1451663853256906,1.2090357054215675,1.390565323991564,1.4660777769025786,1.6768500275471665,1.9487979806953046,1.7371795660975424,1.5524206507452707,1.5573027706235478,1.4735359537541268,1.4118974607534347,1.3438461237808643,1.270912028794797,1.3053615790784665,1.2469123243965545,1.3101502733782373,1.3873678769234086,1.6479677710725522,1.5556512488715488,1.2943721403310366,1.2959423473139848,1.2441044942920083,1.2926248191740592,1.236195591635435,1.2515126981200626,1.371925971197906,1.3939447267371643,1.4448311775748153,1.4338225679952918,1.4838999619357087,1.4639799830623912,1.6308179191595265,1.476193979708369,1.3263005595935182,1.2782527555947039,1.2905439135188403,1.313584231160912,1.2944751529249428,1.3119052949314307,1.2876999498386197,1.3628072019519093,1.3406807431216237,1.377451596767209,1.3197317284549763,1.3469997040106023,1.245659619727196,1.3876581703190358,1.518029740810153,1.427214325151843,1.5549653978362719,1.648279880737597,1.9911313053033959,2.1300388651257505,2.0264866195754565,2.0939149613743,1.688987865780751,1.6405727719788117,1.6282737572414598,1.6085796040002782,1.7916313496849825,1.465605821746969,1.5092149070983059,1.4570148113813097,1.3543812505176978,1.4488813867391837,1.3374093586031592,1.2775923324283056,1.3960637284976765,1.4533610718814753,1.343467060010083,1.406275801826011,1.5539798918394983,1.5036720983131875,1.48398253933582,1.632078060378448,1.70556751165311,1.5975482875519884,1.7310465205234506,1.9621604791377616,1.9545529871998208,1.9354793379533786,2.0203919344969923,1.8399709713238535,1.8934409683479443,1.990231779943609,2.284849373809462,2.1322156498039346,2.161844845496868,2.1525467133140443,1.945669797848355,1.7195902681379298,1.9649037545035593,2.1018918351696945,1.8030842530870137,1.8210951065946333,2.173160388107127,2.0137009396789702,1.8502520686141104,2.2250380575762545,2.32052810474063,2.0821776797919975,1.822444362870996,1.6283928418360065,1.630410028792476,1.6527935495725692,1.563946377426189,1.5411204746089602,1.583177261905329,1.4503434960327786,1.4294942748264472,1.5133600593094467,1.3865120863392948,1.350369668227912,1.3858415519571357,1.399159108171827,1.4049673667173097,1.423372489303576,1.5570134350373985,1.516691599321694,1.6413585441151286,1.6254020204307902,1.6451262297727978,1.6841458850130253,1.649798181887601,1.5918670153491572,1.7857563038943656,1.7893490796919647,1.6511510308190605,1.741324205968853,1.9175070963990417,1.864234937193091,1.72850449553385,2.0500407674826344,2.2253858521144902,1.898654977039989,1.9465541981862715,2.2451217269330024,2.3086581598294473,2.118917901589099,1.896188456191322,2.37886672867464,2.19987913563473,2.172147052660919,1.8972247493357273,1.6879261706962068,1.6331166017332204,1.8024869894127264,1.60929722032747,1.6661817685524953,1.5190290742576926,1.4820958067311596,1.2853951689047818,1.2732912364497244,1.1880380050740518,1.3277468017806482,1.2037334656409542,1.3051119753277196,1.3300171110337333,1.2532929644461563,1.4779634879273302,1.3779009458897553,1.2737180688027874,1.4332782980923544,1.9898385294445284,1.6322209680074742,1.7512984782835759,2.5042204666349117,2.9320553266689418],[1.0111670543246343,0.9611407747912691,1.1011752308873062,0.7789476523409409,0.7410235524552815,0.7444128126452846,0.7269931328302301,0.7319796618163826,0.697177167408601,0.6646801597391022,0.6652626843599857,0.6917124272974283,0.7457958503204382,0.7035169235778701,0.8420059152338616,0.8420485369657249,0.876543651580982,0.9923489219346947,1.1397156635887549,1.2332244507338934,1.4145816766344557,1.5298611852152442,1.7252416609002041,1.845034335177547,1.723705545965479,1.3955240746764705,1.2384892619308765,1.0616874485339038,1.0142839862008537,0.9281038614763297,0.9622541566535725,0.8813049880424759,0.8697825257604226,0.9748097709536275,1.0365817453137907,1.1081353108693288,1.0220859469081527,1.1880951379399731,1.2267289950722462,1.452691403630787,1.4387803331265516,1.40541022766792,1.5468771407783755,1.711048112160589,2.1813919725638504,2.212093567766037,2.6591950438112564,2.0430699944558266,1.7745846216922048,2.205236198782562,2.132192840130932,2.210228777321472,2.111479590044812,2.064788960241809,2.7082521900481007,1.8967867026427951,1.7955301157459227,2.3802984033291366,2.0090237656932883,1.884994009376407,1.6102451508787523,1.5251751824332886,1.489192112455835,1.628987976135567,1.5476978245098507,1.4280502109211417,1.4378118074451594,1.174229727184585,1.170119651870911,1.0689655521040613,1.2226252879699067,1.4867898646586406,1.177344954744848,1.3997845723967186,1.1449044704695428,1.5001851666364552,1.2714048532744975,1.246310317685539,1.3254450125009212,1.4859309867348924,1.276196159501896,1.4139721296689771,1.3737365814371734,1.5085094654936666,1.33857130952434,1.209145147064122,1.2621493824744192,1.1425959162726085,1.238868560798354,1.1630177085617213,1.1207465984125309,1.2929119161590754,1.1088058789054032,0.9587470180153005,0.8731720123705412,0.8977968332701979,0.899394549222587,0.7778208121337312,0.7315954963580046,0.7837174263580241,0.826485443117138,0.880847549072308,0.9756503530302127,1.004306563014049,1.3135608681092397,1.0428074272886108,1.136644090634861,1.259659603168987,1.068134278162918,1.0210343176208196,0.8942355148831903,0.8720751025191485,0.7699015599043029,0.8135979112688069,0.784370568313675,0.8527485713711492,0.9468750813875729,1.0263078084681048,1.1732692085379044,0.9759818884221669,0.9360516579983513,0.8191959676370011,0.8154002618730055,0.7174687440101168,0.6824431683582407,0.7506998026047186,0.7903820679492537,0.8656370950080075,1.0236539356853116,1.1284697507705255,1.1625825427518506,1.2785575604916521,1.3301588513264218,1.262792334062114,1.223279040505876,1.0612982154948587,1.0809707165084814,1.01017002042289,0.9800842881613393,1.003146143243877,1.177045801941018,1.5283014946006956,1.2141618876236608,1.0518107727566675,1.2001337053946552,1.015612641121053,0.9295857609003324,0.8636792078154706,0.8738404626351854,0.7660215817832986,0.8210727189967317,0.7464884575085327,0.9315023005620047,1.1079013452233821,1.1096343013360588,0.7726804423837692,0.7480552024308361,0.8299170831101563,0.857921786008541,0.981802961042714,1.0517935900364874,1.0437734242385228,1.099163265244416,1.2513917823509308,1.3410547533422643,1.4308765855838952,1.4613993171993915,1.6838749648598992,1.5368302958283193,1.3164281949676768,1.2681832740496497,1.171782761220144,1.2472506272766248,1.20276455630108,1.1543902995442534,1.128398977276579,1.0345061351513323,1.1499152466469176,1.201474613031088,1.2365596630997162,1.2895219707951735,1.2141891154410798,1.4425983660966057,1.5713727017901955,1.455882121116379,1.567207566290257,1.603867102030967,1.991526599212823,2.1880383161063093,2.127291109738847,2.256112574281468,1.8025838023185388,1.7701171085305956,1.683212035846802,1.5835097080628866,1.6216692239120836,1.4439812811471509,1.4047244857383585,1.2727747810330747,1.186782680319489,1.1939654936961765,1.1121583476078247,1.0540615751074012,1.1019876837876532,1.124173707816482,1.0873391360921252,1.1300018446803306,1.1859769927767998,1.1708609974658246,1.2014605713135418,1.3121206785981017,1.3640603989871956,1.3279826068759917,1.4962231412693296,1.6509688008783538,1.5944949810040416,1.5746000064890118,1.5564285168820997,1.4066518448499616,1.4631586616935155,1.5601484079904264,1.820917878807397,1.629607787428107,1.6218559411251596,1.6833134552921671,1.4500744743750205,1.336606784513888,1.5025422399826986,1.5415530275730778,1.349879806314264,1.5166671490063535,1.8219807169812645,1.6044033394091863,1.5137894498222833,1.8227992930966002,1.9575415908099545,1.7015639352638068,1.5803400822783644,1.3618759564211378,1.4906584527098312,1.39614932585318,1.2860186779663163,1.3234520439133892,1.3292307357869966,1.2860840186212652,1.2457905328763037,1.2446762774509068,1.1547671727400632,1.1676213508464512,1.0927381990259262,1.0976625079434532,1.1199724820415196,1.1047581470932766,1.1800693702909264,1.1974827245269062,1.3028764993195663,1.315946767175507,1.3364530480677972,1.328896617290748,1.2581695617067508,1.1979428950270699,1.3435624616252606,1.317503308431962,1.236954922574663,1.2637290117103173,1.3750255302742294,1.357361886227588,1.2609181588170661,1.4480282091993544,1.6326889478708544,1.35436812689428,1.4083499836062572,1.7109795436979005,1.7842683017014274,1.536876942884889,1.365998353168086,1.7410888123161414,1.6449599585443144,1.6793057319349654,1.5058364794658707,1.3176280760749841,1.3511831432267525,1.5107548045126689,1.26607288034572,1.266068874494223,1.1244929029768185,1.1386412073374303,0.9904528935414006,1.09766663203788,0.9776826734383781,0.9563431303036731,1.0931116503850689,0.9729333309992663,1.3386851985037804,1.2806179888090574,0.9363351817499089,0.8618254624640709,0.9162371504479001,0.8725462125421691,1.376522034853572,1.0631208303738937,1.4264559585953676,2.0203273402926234,2.5703225681341175],[0.8534803344811361,0.8753213155284081,1.0748386589939798,0.8847758617052958,1.0934922263802587,1.0143578979268957,1.113148657041959,1.109855029949478,1.1310193735316352,1.2114294690292815,1.213392115418251,1.1989385969367568,1.3061545785076345,1.2907438761330507,1.4081318918904793,1.4358297960951578,1.4751747531079908,1.5789414484102302,1.6986845537475523,1.7537578105408647,1.8942930072964776,1.9932068361930237,2.073342688411448,2.1630449804304708,2.0544989739346122,1.8708197578487884,1.7409150555354604,1.6292576688102625,1.5697702339323387,1.4913157598504643,1.5539321500895145,1.43793439430852,1.469285142452809,1.5377668595444476,1.5691317637963598,1.6420202897819012,1.5307175886839846,1.6957196452075798,1.6911586147908264,1.7832145550020724,1.8044362589906628,1.8433078551893702,1.896942505041122,1.9868883419428514,2.4579978881437436,2.4609691926266355,2.874995235087478,2.2865424086829305,1.9329592570258276,2.390386377167636,2.2870938526013354,2.4067074235691854,2.2526458705195385,2.3381818473340634,2.9502301944283635,2.0950073676543033,2.0589817643218944,2.660245264071191,2.3146105819971003,2.1292149932613027,2.024733263117313,1.9837142461540054,1.9769189380586336,2.0763295276503926,2.002138344188468,1.8908690537476722,1.9151124737285017,1.7109999577270827,1.7035347762441635,1.637741501796378,1.7592772604426306,2.0310203528337816,1.7406428305605914,1.8155233284055194,1.715695549997363,2.0867918113012296,1.7782258684879542,1.7684023134676967,1.8055429168019441,1.9097709805139282,1.71910086113188,1.8018448694123628,1.7196598557516531,1.7195857624029454,1.6618402981199125,1.6132352970542851,1.7149139921079382,1.6161993902681364,1.7248864855359543,1.653793083464128,1.665699809032012,1.8112183843528733,1.6615033550424505,1.533653217238622,1.4608138556826868,1.4542273550827878,1.4305764715487184,1.375588866639349,1.3035055922006222,1.2156646252893988,1.3331906057810057,1.2817964728131108,1.3733240607196857,1.318598663055275,1.5195005686451357,1.3088257269225343,1.3586613201563942,1.4356396469068569,1.2569319900972737,1.2738803726618073,1.20752823893984,1.2602941670663101,1.1983133007063917,1.288617893944429,1.3398557696812308,1.4210262814753516,1.5262963510053043,1.5985564577708364,1.747629603242244,1.5698862726319152,1.5295593414769055,1.426017987658425,1.4279231027733041,1.3116124185770122,1.2078288799465444,1.2340106247652716,1.1667291748963182,1.2347977297958108,1.262682169009675,1.3354118157318724,1.3426610932391003,1.3876836738098455,1.434236867149253,1.4120264404066905,1.4139953869316235,1.3615706674271197,1.3093437176099971,1.3982691918749355,1.4333467957309411,1.461845955612469,1.6692077754799755,1.9492837879006821,1.714070495116881,1.593138222414229,1.6845743266394928,1.529407606855283,1.4677831122886191,1.3960250047459517,1.326775518083062,1.2223013017676634,1.2088361201254694,1.1366427680942233,1.1719107530562995,1.3649279636367224,1.4540496277279065,1.189334176358013,1.2284157236796835,1.2297820455681596,1.3425417188898219,1.3561100184065074,1.4468557373600772,1.4846589911784374,1.522562201488391,1.6074900027039059,1.6063596534078268,1.7170167617812369,1.6592961762971876,1.8295743449594073,1.6810359774381862,1.600038605915996,1.5288643700879208,1.528584782576073,1.5381742970129464,1.507938783611159,1.4982824751426163,1.4633999514353349,1.4071236580433704,1.4729582224659468,1.5490925309532275,1.508938465943232,1.5306213506120534,1.4666213359281652,1.5859240697464014,1.6450413879905568,1.618845056020613,1.7469363775466056,1.8694432916634494,2.1229897216149687,2.35423837445863,2.199515588623195,2.288461728937791,1.8808614571273137,1.8286710988176662,1.7263372693985892,1.6122284263594708,1.6481407576242255,1.5373193149149869,1.4609810783954067,1.3199716347221866,1.3005421225604021,1.202431450368159,1.1469560571061188,1.1374385997198804,1.1017060941469916,1.082194780846696,1.0493069422189092,1.0437668676644325,1.0619195800925614,1.0450498084036952,1.0574253979904649,1.0936229542989329,1.1348685262251,1.1067548259395088,1.2178015613883377,1.3576988046625897,1.307296425265007,1.386760243989455,1.346691860823531,1.2286382733148913,1.2806989998591696,1.4161042396323313,1.6206734265492708,1.4778073458225351,1.494887430738087,1.6225667645405493,1.3586162938564468,1.3320510518605315,1.4208380462976584,1.4790246779979377,1.323147453038496,1.459575697695244,1.7218473418609384,1.5434513563679344,1.4771092065179832,1.7812922803408817,1.8753383847836345,1.6514598163412035,1.5813155561725953,1.3322582083340606,1.5110034425974754,1.3887591494479106,1.2663402157192585,1.3049744426088914,1.2943833023944913,1.312369593987278,1.2489360537394416,1.1984380297295538,1.1623779945232984,1.1942818494678502,1.0800211363037373,1.0650415712253551,1.1432650217582627,1.0545571748486797,1.0434906139261289,1.061723121795361,1.2540232668678828,1.1170938801408297,1.1320729252754855,1.1581550602021364,1.1435441007007785,1.1407325961638526,1.221615537438836,1.1938443861388923,1.1270028058234438,1.1950773746710572,1.2630839821684212,1.231161027452127,1.1751061337265787,1.3624642694140097,1.5645033173601395,1.2469709704047351,1.36517392866138,1.5647439767557005,1.6586872745002628,1.4463631202430274,1.2505445640763855,1.6215589956302645,1.4668565884711515,1.4658255101406215,1.2623931468716245,1.12056304207221,1.1256850372968592,1.232872270663824,1.078250994595609,1.1220159218716406,1.035260181670487,1.1066608080540374,1.1038473813700656,1.2252669146008273,1.1717235443567104,1.1725233465831866,1.1837056502112309,1.0334195580411585,1.4944104735368013,1.3784783192926322,1.0512246247765415,1.02181851917973,1.1158413325302434,0.9838786766986951,1.2946707333812026,1.176658675939444,1.4018706228676043,2.0229138499657284,2.57520351042701],[0.7471866303079906,0.7309355338247132,0.9325490783019703,0.5683017820572818,0.673686436364268,0.5974683920012338,0.5998013525579251,0.5872986598514728,0.5947081855061629,0.5760514622674997,0.5797691300552454,0.5785476652552668,0.616811947321892,0.6239830195395317,0.7566898188068979,0.7181691360523544,0.7635735642771274,0.8589205944441924,1.0059117297978635,1.0250915680329173,1.1991306282981478,1.2725319175536849,1.4567810466783955,1.564299223959215,1.4456982219048216,1.1913686647066362,1.024172238842304,0.8905976083129543,0.8381442198184104,0.7526036270497017,0.8259377516488473,0.6948692582625728,0.7362687624457933,0.7918626569768161,0.8116646282886398,0.886339121769856,0.7996412935930641,0.955803473741568,0.9458142431340821,1.0935721514240542,1.116283483833903,1.1204184425065127,1.2059547720339159,1.3529575482870455,1.919539685249172,1.9495822789759658,2.396469512488635,1.7191798182407507,1.4098016065825671,1.900529262422628,1.7347601628291913,1.8748586514957382,1.656052276957628,1.7552355613434942,2.5146350807063467,1.5197422645615948,1.425160097461719,2.137691323251267,1.7978032055623803,1.5724439806707489,1.3166126832922085,1.2530053314916858,1.2719594467523108,1.3628928647202576,1.2779002350222566,1.1938282008125738,1.2538286188281529,0.9992545462135902,1.0476774888177245,0.978108321799071,1.1342279795310095,1.4265922519197602,1.1132368879270313,1.2771830472934769,1.0040802400895525,1.3978581278923423,1.0538161802741581,1.0237808369693626,1.0561397310412413,1.164306383447074,0.9616127993153011,1.0913812279516748,1.0627711082706317,1.1044503675911004,1.0169997997420697,0.8930711263040905,0.9619558465993827,0.9170218107694802,0.9737600005682925,0.9143186583813336,0.9362826630102895,1.172453477425269,0.9968434921891142,0.8264045857894086,0.7506316593561514,0.8213894749016962,0.8436618698494842,0.7072678881410857,0.6245812729502505,0.6659039485815577,0.6289227021994068,0.6793764777246315,0.6784461457962911,0.7118078188028371,0.9750907979377389,0.7597784199137616,0.8409753427724425,0.9744169748515268,0.8195651979352039,0.7795363324499524,0.6844297198872326,0.6639444143460952,0.5934470500848608,0.6527492632856307,0.6588220050106588,0.7206729873866047,0.8152125230955651,0.8970518995887117,1.088633192832373,0.866470754091168,0.8767621139985322,0.7589787204946712,0.7619902528564376,0.6361623722164843,0.57355877542624,0.6063489682648754,0.6336285201668124,0.6787716004009386,0.7822983920047054,0.8487290814822703,0.9184958712155735,0.9876697618561904,0.9777741276770384,0.9117680903725284,0.8951037619835557,0.7925832991623262,0.8499095233378183,0.8139967328950427,0.807350955061107,0.8220680930348311,1.038538695626508,1.409399296435446,1.0428854270009422,0.8828390769112912,0.9748477857348137,0.8033982463177367,0.7449473186677679,0.6918194882084648,0.6480238559464359,0.5868744324212933,0.6445481310484518,0.5806596845775883,0.7441820612796118,1.1355868952759782,1.212556816825408,0.6351517067951228,0.593524184786259,0.60662445771835,0.6445675880146254,0.7124737518345169,0.7802155757238146,0.783294782684242,0.8329712276459307,0.9424733834195945,0.9930571164684383,1.1332320726767782,1.1093818130881103,1.3416576987132705,1.2195584416725487,1.0657334229359827,0.973680166139677,0.9012540545160637,0.9131005056528195,0.8678181972996047,0.8325176366297383,0.814479339022078,0.7396688314498192,0.8091367236300921,0.8857097288044935,0.8966771820224504,0.9165723156214137,0.8668327083344259,1.0446250601868907,1.1554528795446564,1.0622316690191036,1.1475072808086588,1.2553515016931849,1.601408486873096,1.9632021204489438,1.7328734080515074,1.8004539664629229,1.3972523270883577,1.3591920988649393,1.316521406107523,1.2207820532128624,1.3313719679928624,1.1957280125994427,1.1796422667566753,1.0887943303520753,1.0248654112670241,1.0161672792019152,0.9230311945145246,0.8707956818689816,0.9471201636584077,0.9784271487145945,0.9127834156735649,0.9450069078731113,1.030043091219666,1.0160851960609147,1.023088104994225,1.1140957843526578,1.1892906985365994,1.139853147932122,1.2630802275691801,1.4379281184574146,1.3810404322162733,1.4472396066288977,1.4011995593785191,1.281319074300375,1.3466126321694984,1.5032548945903994,1.6652563886085592,1.5449532295085664,1.5077208744878456,1.6301791602992575,1.3183292714836568,1.2054479652259533,1.3036731600014793,1.4228715943673929,1.2169372514280965,1.3417492644789064,1.6669746860386956,1.5192623955118965,1.368467174917528,1.616319325546617,1.845713231310826,1.584788527391432,1.407797455126194,1.1889162921560812,1.2752397859220765,1.1880829874395977,1.0909040878535885,1.0941093067598968,1.1327604521619734,1.0489244093866887,1.020691144103185,1.0608605693473105,0.9572895006079141,0.940788681236196,0.9341259669195283,0.9526589264774867,1.0058141797471212,0.9581201040879666,1.029942281845741,1.058002173106417,1.220171214525011,1.1627870869231451,1.1857196090671336,1.1960943597101799,1.1447152375837255,1.0765803974523984,1.2042004738037149,1.2149847009095232,1.1231174127297048,1.1478602389930985,1.2757943114129995,1.2581173708853521,1.1420501025770051,1.3410910467365094,1.595297490613956,1.2648333957505915,1.3335669744882852,1.577865950449325,1.6811368540259397,1.476138081483509,1.2692416651439657,1.6018690391884551,1.4758632580024493,1.4937239162264073,1.2922083596248288,1.1414723433454381,1.1283920333939848,1.2375887282314322,1.0352369204995924,1.1006258128749797,0.939923890060735,1.0011336437235874,0.8498878161178588,0.928572555166651,0.7702123103007694,0.8481889511429703,0.935586598431581,0.7942389957029731,1.3045262314419865,1.1145391664776452,0.8078962090711872,0.7317961500601853,0.7448247807070449,0.7179779248067382,1.1658364250727746,1.0310232917230726,1.1832192683620388,1.9378094832847694,2.4535953531386974],[0.8401439600763089,0.8031652039099614,0.9996240072038678,0.620094450938123,0.6462179587336692,0.6250508422520981,0.5886311313883734,0.5742214453297957,0.6129967041996635,0.5871968250219942,0.6203355045780073,0.6217592901756984,0.6099487692627477,0.6645641169778524,0.783868626735165,0.7085845600961302,0.7500827108992361,0.837238778961325,0.9954645863136167,0.9993842270924498,1.1806810290267618,1.2407643643904032,1.4451842459238287,1.5557758431879871,1.4374882188169391,1.1882908004363737,0.9937974055953269,0.845762371813999,0.7886510148314181,0.7069877438530954,0.8091114281139331,0.6622450259710543,0.7076200866143063,0.7660104925003429,0.7601954430328023,0.8282397847114462,0.7358027061399469,0.8890116705012053,0.8770494240294803,1.0451697165964995,1.0670030003798356,1.0656478505194604,1.1511540617978495,1.3023898037535113,1.888188775510551,1.9214333199925642,2.3921456942178487,1.6990085248568425,1.3874960504931446,1.8985925099078038,1.7130383130962314,1.8698258976545457,1.614749926873183,1.7209219416237738,2.4792834497515397,1.4766897886273298,1.3921360246621077,2.0754492770664013,1.759243708448555,1.5462436048107526,1.3077838831330928,1.2337379804538042,1.2531088592925212,1.3391801386331457,1.2805855310706915,1.1700274584634582,1.251472849604864,0.9828701342203899,1.0498313160413213,0.9910248332817206,1.129292542933921,1.4211292529207484,1.1271800784784274,1.2827520736322886,0.9816594741344865,1.36287874784232,1.0291361140853081,0.9903530567643908,0.9969173852256799,1.0946261133797082,0.8856598805920359,1.0362723129744458,0.9880468268830905,1.0529232590566766,0.9689478549941766,0.8199173284601485,0.8958003458337376,0.8572338442971984,0.9064901521397764,0.8699355253148879,0.9154192975463892,1.1811439982499115,1.0065340589160097,0.834092523157605,0.761035563071582,0.8640170707629845,0.9009913652149579,0.7227027140222697,0.6236266951180779,0.7134251957503859,0.5744832320394353,0.6609576883928273,0.6202521556080063,0.6372380251277701,0.8596744525767214,0.6691250679076959,0.7631125722782981,0.9128530153765556,0.7611332325777374,0.6968841419801759,0.6219220605807956,0.5939038457704208,0.5568588672956115,0.6008726858019111,0.637492902791381,0.685702529351556,0.7822049027068044,0.8663439608686025,1.0820725456313667,0.8616567350976606,0.9015892569271775,0.7675084187674641,0.7606499671195832,0.642832424467427,0.5863496639086336,0.5766121087479138,0.5920005472385391,0.61448911227495,0.7134796267864054,0.7652384447189902,0.8554109795461443,0.9277129664400553,0.9173052254666983,0.8305207518436829,0.8187511674878151,0.7170122886123999,0.786025385508689,0.7433986808906052,0.729471366915269,0.7819000922251995,1.0268984855946652,1.4429269706248342,1.0319641540237598,0.8465460862768796,0.9126399427416862,0.7555317890564784,0.6927443755964044,0.6386422388410723,0.5870413442799335,0.5697065496024061,0.5998079785429618,0.5897366733874365,0.7664225928952583,1.19997132431093,1.288318651416418,0.6438345876872952,0.5756602884822877,0.555493982004322,0.5892355420941632,0.6178352414625247,0.6994091736778915,0.7265848763509796,0.7756264382728913,0.8872348176998539,0.9392490155070848,1.074042168625145,1.0586584901221259,1.3118323368584168,1.180435298377525,1.020685423013497,0.9086343944000971,0.8325398258467689,0.8383157185878732,0.7871574655638356,0.7504123374318201,0.7193259016932422,0.672950804461047,0.7234120654987899,0.7946843414152557,0.8037572875229267,0.8516283380229127,0.7720830915536554,0.9571012464941618,1.0795945519924943,0.9878169169775028,1.0966154288301686,1.2252224053392513,1.588257471535275,1.9687989073380905,1.6992838990978438,1.7572434135500798,1.3549965438986116,1.3189938343223375,1.2708339837363116,1.1701338910358212,1.2864759253202536,1.140408595868312,1.1405198227177127,1.0789018381025992,1.0078477032293565,1.023931097594918,0.92936223677743,0.8694385118804092,0.9740017785061674,1.0230661768886937,0.9513796381156338,0.987276970055039,1.1079920846637563,1.093186021453258,1.0904138381633262,1.1968647987474081,1.29180679189647,1.2409601872020328,1.3474728155905085,1.5434962080734982,1.474425953852623,1.5642971032849409,1.5030911642796878,1.3822196615753068,1.4505140010845206,1.6197621263861572,1.7844409150285172,1.6550884599918296,1.5997013903145414,1.691975644108247,1.3864762545513785,1.2386277575615308,1.34680551955594,1.4798746499757847,1.2607369334206162,1.3798271866169893,1.714900702332264,1.5982001494472964,1.416875803209163,1.6046785388397877,1.9061130137267825,1.6281051878726744,1.415371698994328,1.2019707536344777,1.2473698596481222,1.173951845255865,1.0980190035268003,1.0847334389567995,1.1461262958217433,1.0276955922258957,1.0091717893048004,1.0789566657836356,0.9741836606170718,0.940320968699441,0.9618352118744368,1.0038464601127102,1.0534444557349618,1.0181882220888543,1.1199224529621845,1.1596915232554488,1.3005397843354725,1.2739072147404151,1.3095588631635815,1.3062157742217386,1.2477194656301478,1.1414777656927695,1.2695204835141352,1.3164823568150161,1.2049983712411647,1.2152430992831516,1.3665150472965477,1.353030862347785,1.2106495246558227,1.4236024379872965,1.6943206101281902,1.349894497967304,1.3959359031634442,1.657042241587021,1.7583950746124781,1.5563411478873834,1.3479691335172488,1.657707922536588,1.5355062078413024,1.5928559652453584,1.3598329673209029,1.2175669909785363,1.1865266710051827,1.2697108016918959,1.074469311278499,1.1715862586530912,0.9949601994142363,1.0567314300667727,0.8509509140652882,0.9086243192711336,0.7259025840547549,0.8029702361802588,0.9515012709690902,0.8217226855614345,1.3325774500797563,1.0780807114422188,0.8037041893376958,0.7365815904392043,0.7191060721136928,0.7215774885544012,1.154958743361545,1.0514310314920456,1.1921534478811844,2.0169751799966087,2.5567267677131853],[0.9094890979003388,0.8798494469755327,1.0559958091293657,0.6836338323769959,0.6917881603955446,0.6763904453710147,0.6204810688413545,0.6125501675983106,0.6501122558013954,0.6020125936941337,0.633354283871689,0.6471825202869989,0.6030999510923224,0.6493290772575431,0.7458472658113517,0.6769670213229392,0.70424955362424,0.781214282327668,0.9205446352593782,0.9251589820299586,1.1041025961722486,1.1550895471872966,1.3706709204101029,1.4709160829501922,1.3901466598515442,1.133827806415281,0.9332365429420861,0.8028813306185473,0.742926383447339,0.6702011904687448,0.7753821650352258,0.6374064516120467,0.6711724720218444,0.7311134881865277,0.7063678105342753,0.7662748995639462,0.7082681473348625,0.8471986356159947,0.8152076912516459,0.9705196877273695,1.0280996402030058,0.9961394049881787,1.0631884124384516,1.228904644692894,1.7935154630033747,1.860230108985492,2.3152432600541735,1.5902431704837858,1.3542801388781274,1.8206869769789975,1.617460667817623,1.9066259462830584,1.5177947329875046,1.5736646150940286,2.3318105017990716,1.3334276524182187,1.2672324963033248,1.8836832979825522,1.6283954784511345,1.467884213289499,1.2201788923039498,1.1445680413391477,1.1624167948797663,1.2402492277712285,1.2140920500153258,1.0876117675270607,1.1823771890720718,0.9212028772166013,1.0102724511191041,0.9285388071468136,1.0856073428027981,1.355935334677066,1.0729904617874766,1.2612945824565398,0.9056551900097052,1.3031935004876016,0.9557242150203681,0.9144876165184781,0.9089518653236324,1.0099403343819129,0.8097114615762118,0.9485613271795348,0.9637383134639437,0.9833554913750051,0.9168385148042544,0.7750226077977782,0.8374175121651762,0.7954419420124063,0.8393788595816306,0.7929963018762967,0.8763692200111403,1.1465064453706797,0.995628173158348,0.821010780072236,0.7416466820453264,0.8582981953198567,0.863839074730163,0.6983306768858055,0.6162800938861597,0.7586152860201247,0.5860341772706771,0.6856043730895225,0.6258303698149237,0.6770989628292629,0.879647065719827,0.711652673599192,0.7925270490595666,0.8964848404793927,0.7760345227006695,0.7389092034262138,0.6529311417485474,0.6399511492523774,0.5932857605132179,0.6138270154823394,0.6272807868448794,0.6651103327300034,0.7567435914738709,0.8396252607805375,1.0368726248043751,0.8164054221917949,0.8368227539868812,0.7327358174684331,0.7222578276152808,0.6314069607823081,0.6083746605991351,0.6043178963838439,0.6362184831609062,0.6589138170610466,0.7578685174311417,0.8132585840840341,0.8789777873378033,0.9359439214860072,0.9053173628174159,0.8219093455444663,0.8238824103318295,0.7343688493874021,0.8288395576390385,0.7842571730637085,0.7433115353702914,0.7837919999518493,1.0212237398309802,1.3985027193039037,1.0006988115920057,0.8200806106384761,0.8775296668872549,0.7173408008178478,0.66577577174812,0.6277919374811992,0.5948867499127681,0.5855050129572572,0.6450548757554618,0.622076164432542,0.7996277029086043,1.310809450395812,1.3800199007689773,0.6917637262692304,0.5991162361389492,0.5788372755180407,0.5884811677329334,0.6460283548747597,0.722964472701886,0.7037247493234898,0.7542170647535131,0.8532505242414441,0.9037630211045636,1.0404643948579955,1.0220180254098759,1.2892107837773004,1.1791375652985032,1.0241292906105333,0.8979787468148666,0.8316908006397843,0.8311250869972089,0.7767965954714942,0.7273060462137322,0.7145819155874019,0.6682068954918957,0.7137492625443493,0.7690962552900068,0.7793677022342725,0.8339566453657576,0.7845564670297597,0.9324088385514747,1.032856866962409,0.9560392359002134,1.0436698028049676,1.18020350500155,1.4963981743499302,1.9573689073223215,1.6055868383920409,1.647858742718476,1.3284581208435151,1.2867042441236638,1.257960822772009,1.1424832978118225,1.2362691210868708,1.1224470374854774,1.1265885116440204,1.0854284341421088,1.0446052334305773,1.0444714302290306,0.9712154398647654,0.9248995861774214,1.0162883312779252,1.0582472942720376,1.0124758482817175,1.0458063289033386,1.147145335713437,1.136880970603489,1.1429317906820589,1.2395632363094107,1.3292134958846813,1.3002086499746537,1.3922832769801063,1.5703515735925495,1.4933290368816798,1.5972844931449028,1.5019229601803026,1.3975130634667685,1.4445219848100155,1.606917841392705,1.7574725095007784,1.6517852165965214,1.5729632178159023,1.6926173559458004,1.363398503591494,1.2183203648925607,1.2946884386380235,1.4072820578054845,1.2275443625488527,1.3630276527877219,1.6600765324583913,1.5832197712612466,1.40729905289389,1.5192571462459479,1.8551545986318512,1.6039540016212663,1.3971963290347433,1.199220050776052,1.2194126437149886,1.1538879760124807,1.09963341247447,1.1053660837193535,1.1367231776118774,1.0669207451654306,1.036759812467167,1.0927086707016116,1.0101570996078748,0.9814287645047371,1.0043479416196854,1.051409162656743,1.1010672017402232,1.0772475334257035,1.1631207634851919,1.2211276666235158,1.34984114658624,1.3107791980548376,1.3376194241934287,1.3290712725144875,1.2557660541031461,1.1518973885119221,1.2615955136346957,1.3141228514932117,1.218895200660253,1.2127877700553211,1.3465992359109082,1.347961605287907,1.2118030064380834,1.3861636830690964,1.6617031579046686,1.3438244230201932,1.3766499720691059,1.6076682294690292,1.723339497694486,1.5467041729360096,1.3697497217306378,1.63203577679187,1.5485203857156868,1.5833673094877831,1.3824991165444367,1.2539918537972772,1.2359437656657015,1.292444413133174,1.124545637749203,1.2317488400534198,1.0631692527139045,1.1118183068451473,0.9232152596991015,0.9467281551811292,0.7974552261225937,0.8588984112583594,1.0432892719778906,0.9073086729078165,1.4700895224508739,1.125561247722537,0.8465007288871985,0.7841421305495556,0.7574850878596989,0.7606708231075053,1.1320181410621561,1.0900421542225085,1.262587769593645,2.003371567204979,2.48211439293788],[1.093327311430553,1.0712436423367397,1.2644421973865365,0.8100177473954179,0.7862162188749353,0.7858011367292048,0.6893692755089594,0.6931216393392421,0.7177050973500756,0.6390676308166141,0.6706258540678474,0.6842045276944606,0.6131789320478475,0.6705030101934931,0.747381943141264,0.6710217606515576,0.6818963147237525,0.7516112651238954,0.9110484214106068,0.8856259153162811,1.0776799304801918,1.1087810121828467,1.3680184860324727,1.4711706384754437,1.3652738630232826,1.100625085551163,0.8884319573467584,0.7581102619448216,0.6946263498928877,0.6294846281196462,0.7577232179600877,0.6093747007677702,0.6322301736097741,0.7141875567681902,0.6527474377795297,0.7174952188488208,0.6477092049712742,0.7894702474663821,0.7375110425490449,0.894568075750204,0.9547518741457759,0.9523747871464432,1.0054940404497958,1.1736102736659655,1.763264648719084,1.8373013348560387,2.277844595006127,1.539859913624675,1.2960450951571707,1.773117885322909,1.5515797380790186,1.79802423852558,1.4604152203585608,1.5218365536979193,2.3466449285687445,1.2953448534269631,1.2239193507481427,1.9017338001727393,1.6450329321207846,1.447283249354623,1.1701855393612959,1.0887412768055134,1.090679227941475,1.2140229569408232,1.1793633563999482,1.0309361519431015,1.159056694863034,0.8958127417586434,1.0267787509601098,0.939997400394002,1.137110187000584,1.4226945202418435,1.1174283050373062,1.2976534255838477,0.9128315372201012,1.2617240584840737,0.9243025638559542,0.8704526830660517,0.8570187403955992,0.9282251582104467,0.7192672800993525,0.8591719705107341,0.896227768576939,0.9002295455919398,0.8239378078209825,0.6798673957080706,0.756196247282313,0.7174779973071647,0.7814386374253041,0.7488880245954468,0.8445164094868429,1.1304889743005584,1.0000640598212986,0.8166871136458621,0.7432582898508702,0.8758691736304074,0.872668015006543,0.6783055621635976,0.6229164137382862,0.8280245157770791,0.6092346662789591,0.7008544083112282,0.6020982177531364,0.696222104687662,0.8863473379627097,0.7707245980199933,0.8745307074900803,0.9538500828705673,0.9001414420902659,0.8334632733705442,0.7616029178352727,0.6676645766455358,0.6214696845078883,0.6000656196419734,0.6035875335611375,0.6383417265508923,0.7193813658278136,0.8103953577280736,1.0469463386296132,0.7874753559765886,0.8103949758341585,0.7238949911622177,0.7103058503850559,0.6241888929278411,0.6141622779343006,0.5935841161087063,0.7082064723460952,0.6930858403638268,0.8451697960158218,0.854970428061144,0.9753596416955383,1.0530058649470109,0.9499204598601388,0.8602850781310987,0.8289210365250376,0.7270365594853692,0.8676861781558487,0.7367530012366321,0.7054307800141778,0.7146911404601474,0.9920130093144072,1.384134160567016,0.9382439295908689,0.7554136628150441,0.7982346594714879,0.6467258776310904,0.6008788494422713,0.5887799963781395,0.5806900297497705,0.6209002689764943,0.7188458662339451,0.7188628010282115,0.9051886280631108,1.407739508415668,1.372092947148822,0.7530132641201799,0.6368278247101983,0.6481715803759078,0.5751663718790698,0.6474061243500138,0.6589644846965104,0.628736031001196,0.6679534761743732,0.7582905943555251,0.8200049199411601,0.9859350910841795,0.9702421771237422,1.2365025942056396,1.1391139085435162,0.9786651255347619,0.8528943706059957,0.7746373767453709,0.7682979668921049,0.71100792366768,0.6569982456446213,0.6626396513778677,0.6150585485998774,0.6779048949024993,0.6916587966008308,0.7329798016082897,0.7710087253319894,0.7504088121928513,0.926124314243245,1.040723086402534,0.9177816765019936,0.9722601668249222,1.1078461137520066,1.4388599879079411,1.928859667083861,1.5593758393278472,1.5939529275888022,1.2640705693241387,1.2441511019023852,1.235064364760937,1.1748925333087559,1.319066263653867,1.2189739087488256,1.2751127928609722,1.2955051652148828,1.2345840784176674,1.3127918755985115,1.232408462938274,1.1506398445645354,1.2958509123985416,1.3714295184727376,1.2803565386702669,1.3052332351165254,1.4541108370058462,1.4442778869391117,1.3918000510975774,1.5075399056508567,1.618910251639521,1.5441159928420585,1.6006249858896378,1.8143523394647036,1.7484128157745558,1.9082319617804444,1.8454235311930303,1.7436761589032073,1.8156086114735974,2.001021660713371,2.152804282697941,2.075656881617243,1.945424196315643,2.022067482871731,1.7456537310094205,1.5365978456338,1.6683307268407008,1.814679515149349,1.5888874237411448,1.6933285308840438,2.01929785803799,1.9471621480001347,1.733372909565709,1.7606755719996987,2.1600744525123594,1.8927502217968108,1.6006569810681388,1.4714975019309338,1.4382786867850568,1.4177705381757721,1.3856598925859576,1.3497671758688876,1.45792988687199,1.2639536732055445,1.2678947268653467,1.4005555178552282,1.2972426465560323,1.2367318584689515,1.3042614135786348,1.3491662990744597,1.336933249870523,1.3440768575196893,1.4834592669168203,1.5036271189160508,1.556590849632658,1.6156928251355867,1.6816851082964077,1.6767727650042468,1.6343664388540913,1.510258492662923,1.648172311187135,1.7093556482129295,1.5801825779003396,1.587770770071935,1.7464119098539976,1.7323574818296266,1.5688886861497642,1.7921632022480136,2.068010961164377,1.7043056515917085,1.718717226561553,1.9790431061023304,2.063555529674986,1.882539927894964,1.6844986625306815,1.9638129675462201,1.828404780996299,1.9092391423450907,1.6504438341898238,1.5418172540295285,1.4679612053210611,1.5151434592186974,1.3635877124410676,1.494624175162169,1.3166417956026368,1.3800799689342877,1.125016334515237,1.1382966547454936,0.9317238700584578,0.9898514149830693,1.2349871951970837,1.1348110831646554,1.5261511296581853,1.252207613519476,1.0380285837398215,0.9585924238552851,0.8563694903291168,0.8962774022115544,1.2894150539515625,1.2748888350507748,1.2814410701499186,2.2355823392235115,2.7805454544897774],[0.9260433280281137,0.9098179352949188,1.1342301264117516,0.6878281050005196,0.7566171680062823,0.6739548025525895,0.5998034597535413,0.6004625678174603,0.5692904825180081,0.49177182381472034,0.5004009289399158,0.5352613336115388,0.5172036196106506,0.5024103316099883,0.6088850605626328,0.5596961127400618,0.5978428659685396,0.6811927401161901,0.850399643340831,0.8613023776933963,1.031606957841352,1.0962244326064525,1.3370745339438737,1.4372137230074262,1.3298773587766417,1.051771475463609,0.8732195854944146,0.7273434228395179,0.6807196675463604,0.5986519411026582,0.635659714440949,0.5492080384061998,0.5725637993974766,0.624121218779488,0.6395618175903408,0.691787968726878,0.6641793484219295,0.8086920045356308,0.797588551731854,0.9554799121245098,0.9886866591550796,0.9629681446614494,1.06334866343582,1.2403147620633828,1.8223131916970212,1.8745738107563985,2.301482945261994,1.6017451064454866,1.3317286433200834,1.803802567697732,1.6206106840948877,1.7704101070338318,1.5564061589366742,1.6356437930286745,2.482325593923788,1.4458803410532546,1.3168990727736476,2.0557549492271026,1.767089095857381,1.498164426311154,1.1671673951985113,1.081975233219519,1.0797951910600643,1.1816836684077523,1.1181445143482842,1.027539333773684,1.0964129824271547,0.82655330078844,0.9069943818571203,0.8325128374856026,0.9934440868238898,1.2616027257219915,0.971550933967303,1.1540249858983147,0.8087251260849678,1.1727489204783037,0.8537459154074499,0.8084749766551939,0.8476483706088616,0.9570503487153602,0.7873221410519797,0.9238965478694702,0.9888298183565352,1.029876536118959,0.9336728181573412,0.7704563073984636,0.781779687704842,0.7963227654278775,0.7834708157895216,0.7425090079837793,0.739355734480291,1.0032392861130617,0.8234499547798597,0.6528673263077411,0.5940545020548228,0.709708428319908,0.7420327644114872,0.5720711433525038,0.5228078916183049,0.7112328075399981,0.5532763443946425,0.7006752542569495,0.615926093459863,0.7575648079127573,0.9868273151661937,0.8691379011580866,0.9622298451516578,1.0580479886011618,0.9642423585021968,0.8850147015017362,0.7961432999415725,0.7078589297875447,0.5921399476091177,0.6146711261190428,0.5478411758404653,0.5973004061657458,0.6739610867824587,0.7601935356395195,0.9363252292008223,0.708204092365714,0.7454923293070721,0.629770247901047,0.6319564291973783,0.530546081211129,0.4981122039457936,0.5863770284203559,0.7067940362628986,0.7271781288996974,0.8978311951294141,0.9493953288257737,1.075489582929565,1.1580607992618785,1.0971131639740561,1.0003096312365725,0.9612150521578253,0.8301397739813716,0.9569591292504604,0.7947507247873847,0.7582526856450624,0.7766261371521523,0.9730475179177979,1.3547113370880584,0.9271924349108883,0.763824838868535,0.8328306158569042,0.6774935143831154,0.6304172214668506,0.58681038354888,0.5982911869572493,0.5606659069837644,0.6913008598502156,0.6189699038907674,0.8325511019117164,1.2669536542937994,1.2556056943729332,0.6543022895558431,0.5765366126556154,0.6361434177221482,0.5633423766284098,0.6855239530809207,0.7046777910070966,0.7074212642112752,0.7699780818632653,0.8654433099166423,0.9414250638847167,1.1008698410595317,1.110304420268617,1.3440433562274559,1.2624020622524041,1.0899234340310835,0.9935299556819621,0.8769549250840936,0.8884514106020268,0.8320726429692199,0.7805224780388191,0.7845445054943727,0.676474037204292,0.8016389571183145,0.8142276063233765,0.8843682804515822,0.8896487482849468,0.8686256274876787,1.0613793624090904,1.1906936206144765,1.0520241384593383,1.0769444276119626,1.1395598330965935,1.502432821842004,1.9629792795131802,1.6715173538978894,1.7283015294422217,1.410015409520698,1.3860637473353357,1.3541065383081816,1.3168819342301394,1.4725883654064948,1.3276404229316323,1.353868712960828,1.3335571314905057,1.2578450194100088,1.2964034127605233,1.1953469053033419,1.117460882911436,1.239659822435015,1.2920810318700258,1.1830426995147805,1.2011299779583515,1.3285214333263173,1.3117834116515041,1.2586691070269378,1.3578838172081824,1.452865517849094,1.376342852796695,1.4379641132133925,1.6496694963044858,1.5903032396978418,1.7187876908755275,1.6622023220293596,1.574237718021168,1.636058523587154,1.8336900349784362,2.0271683625045442,1.9077406903047724,1.8036971533511603,1.8957487210317707,1.6622550776134746,1.5198187623382706,1.660822053747085,1.7815028519520304,1.5636309948909712,1.6928546352562435,2.004971806335328,1.9086048578152517,1.7301584999325672,1.8598474940536742,2.1590771388472456,1.8898175875275203,1.6482072643764085,1.4728234039923578,1.487579966752591,1.4447303770542559,1.3728315952357646,1.3419727095420217,1.4361931385451676,1.2721677576058101,1.2594691829219402,1.3417287971819274,1.227848416438253,1.1746863880084808,1.2211030979299649,1.2417304030495635,1.2386749503134749,1.2246311771340537,1.352623894086934,1.3621930360923082,1.4261379601347932,1.4608345593787317,1.5185075992228247,1.524016671487751,1.4931521896929292,1.398356373189942,1.5288444066345293,1.566187221033788,1.4451051547900837,1.4792590137888624,1.6141318728383214,1.5884050883809206,1.4690138704636102,1.7000150916302785,1.9127741561054312,1.581234780827335,1.6664535246881969,1.9015552063962813,1.945855441624483,1.773191005367119,1.557258750227984,1.8404994046679368,1.6679557274172956,1.7323291216541115,1.4912219085246432,1.3953118920233578,1.3332538366051851,1.3933421925748917,1.2462751165205614,1.3631889435233633,1.2543992738061778,1.308023013820999,1.0856560102191872,1.1493126657870163,0.9293158773699005,0.950855798959933,1.1532279886711465,1.039310453256001,1.3755048362357538,1.18926628596001,0.9640662221840205,0.8875259755736173,0.7973886786211721,0.8120960171674229,1.270249617154057,1.2254527332115455,1.2005167007258342,2.190916740934916,2.7602312897455383],[0.8070504350090437,0.8036552072508151,1.0792559484042714,0.5949767181566257,0.6310427274509806,0.5977246724952007,0.5200932193024788,0.5167587782348282,0.511151617975901,0.4076095285921536,0.40795927206161914,0.4614443045088791,0.4351639647770566,0.40908976730092866,0.5254281855853059,0.4912030837142165,0.5196422533103865,0.5881282361706616,0.7412370453847054,0.7493750879651316,0.9180927977849571,0.9783224843437194,1.2343167782345883,1.317251890608542,1.2378035879427536,0.944520472988104,0.7838092007413147,0.6386727019041493,0.5977528866644591,0.5101925700576696,0.5622780047562639,0.47424424354231326,0.4875028927074882,0.5374796145230244,0.5460471029753077,0.6100901179935437,0.5652205779686619,0.71523487732499,0.6959355338666263,0.8205851112069007,0.9058180860222529,0.8717778671121359,0.9456537610545297,1.136329975955122,1.726706193718955,1.816652322109151,2.1906517476008007,1.4549860983429994,1.2314634726610394,1.6836287073527534,1.4560813503568146,1.7453959437055577,1.4117387186812038,1.4393671226869824,2.3443733064970838,1.2533023581940326,1.1293556923152348,1.8868024161942394,1.6475629416128927,1.3343750493581503,1.0293453362313185,0.9481253662134675,0.935507034084064,1.0206389288268274,0.9730362303336242,0.8862428948274551,0.9688779987778585,0.7132892031526736,0.7899775922018692,0.7360850414333139,0.9257298445979926,1.1715814100217263,0.8810319548312393,1.0739317243997848,0.7163122560736657,1.0736936202338128,0.7358747502308283,0.70090172053851,0.7425586834306709,0.856098823139141,0.6728456822928078,0.7971424676968742,0.9015097638839076,0.9096584369034674,0.8237637546662336,0.6647020611478074,0.6856956028275053,0.6653461602378863,0.6948725252571741,0.6478923139167546,0.6521535348175472,0.9310314677575711,0.7613347218830041,0.5909670535012894,0.5295377857970196,0.6527381706741553,0.6706688684107998,0.49661047387720186,0.4459704331282002,0.6392874933766552,0.48782897250797636,0.637855610015363,0.5411178137834474,0.6611769901198928,0.9095530207746265,0.7571099323957374,0.8454155566212602,0.937562703208559,0.8437003669719585,0.7737071451239008,0.6814063163851649,0.6108018659833201,0.4994782149600722,0.532005119547211,0.4686581373022825,0.5247431686285636,0.6000835811375143,0.6932735236743822,0.8567721555453387,0.6129388975588131,0.6441367655613639,0.5511641679037246,0.5596371733919951,0.4453311769626798,0.41685815544600036,0.5035698833129341,0.6012042639210794,0.6375671777983535,0.8039142565539991,0.8436229397382504,0.9520072954241895,1.0183036511415169,0.951180064793672,0.868701030372731,0.843477674556191,0.7424869016681916,0.8588432220738311,0.7396406773851938,0.7068703598992749,0.694938451449067,0.912929322672452,1.2210404979034055,0.8317308226717337,0.696308533149669,0.7528553907284902,0.5861227580089033,0.5395125788458817,0.5134126417823294,0.5059817305602874,0.4949761482795927,0.6025300740998812,0.5465544322774768,0.7784403971128376,1.1898616736569387,1.1930841940272856,0.587335015376226,0.48522660936959733,0.5407490366750463,0.4832221551491782,0.6016251892340371,0.6397718604388263,0.6116486132875452,0.6721378295921242,0.7562336249063552,0.8196194490661806,1.0099806471317978,0.9783181195801554,1.2151565516154772,1.1402616905961194,0.9932473677901975,0.874517731138776,0.7874658635953354,0.7902498046117523,0.7362581493298561,0.6739896263508989,0.6860171285017309,0.5904911603762697,0.7091425769073079,0.7206985490536295,0.7653336683990182,0.7947162780299164,0.7725608728615542,0.9477864419309018,1.0490746247450031,0.9294540048524048,0.9436525485100435,1.0200745126598154,1.3219403231511577,1.9026984215120704,1.4754295110661284,1.502219676725908,1.249518032746898,1.2294899494483433,1.2273270863181218,1.1570806352703107,1.2688040594008978,1.1689078649148916,1.1935539793148613,1.171206554880203,1.1231251059090899,1.134641184134393,1.0566261355788502,1.0026985949500644,1.0951723662969983,1.1345270987517637,1.0701000476861748,1.0982790869307615,1.1986863083404669,1.1862421709149436,1.1683035200683562,1.2633445705630078,1.3426788683075854,1.294283013997418,1.3877311854993477,1.5746018612205077,1.51699567840817,1.5925988269827978,1.5183028628174884,1.4328557429488955,1.4777089387216074,1.635518257966412,1.7740588018748613,1.6689195022424284,1.6242032161714506,1.730156648658534,1.4304177050914502,1.3012233159907238,1.3899109534227545,1.5007350667786743,1.3246325834654302,1.4529107980594411,1.7384132794394693,1.6698145013051886,1.4980784956944813,1.5816103134067254,1.9098865345615996,1.6546579160184058,1.4639362291016953,1.2912564868947594,1.3159179776770749,1.249282177243932,1.1867020611798416,1.1775289604277237,1.2527918926990398,1.1251517421014632,1.1133919833381314,1.1896247762009997,1.0940267711930303,1.057002431172341,1.0777234100883382,1.1045410793345392,1.1270503604874362,1.1085424016954137,1.2081445827133506,1.2294979909151966,1.3295376575366613,1.332791936655964,1.3628922686749398,1.3711680650095524,1.3258291970915441,1.237363806813223,1.340465132034221,1.371256399091994,1.2857463970430603,1.2920523787049525,1.4072250621376046,1.4035023170344783,1.2835640230472511,1.4519805934705883,1.709888283623163,1.396213499826565,1.4391672723380613,1.6430947002123228,1.7363813288779781,1.577921240905176,1.3977780381859095,1.6290656669420664,1.5548410955673244,1.5818465121266994,1.4015075981734946,1.28695171418149,1.2597212364674113,1.3319230867739777,1.156796491801907,1.2670546965353164,1.1165587951999094,1.1718548816344383,0.9729255541179561,1.031597328127016,0.8405301990134263,0.8444048799856596,1.0975909987286303,0.9422359421976627,1.3895198160534963,1.1564867334459958,0.8375843756104756,0.7712150824151179,0.7286503116456738,0.709249176230559,1.1361525022301646,1.060215724635678,1.163542971127531,2.0446996216565654,2.557985924225188],[0.9765989495159099,0.9737929362406605,1.2010606723287527,0.7434229732932344,0.7855379970175413,0.7249810462325842,0.6438157651741165,0.6477054364565836,0.6314137491226123,0.5309361871748777,0.5368528001794056,0.5928914454200476,0.5021914567603816,0.5138243727492845,0.5763727167339524,0.5477452704102725,0.5679055109839849,0.6069105228252193,0.7344740545944467,0.7351117024658692,0.8915940516811945,0.9490953030663867,1.2122528754149196,1.2758857510368389,1.2249641894739622,0.9313000366362353,0.7716029283383059,0.6491719821648756,0.603248901719023,0.5530982844239495,0.6051644158049887,0.5345703323722596,0.5425472764120512,0.5823649609379701,0.5626785710519119,0.61618039239854,0.6005286090337534,0.7201424396652394,0.680008778642157,0.7862221189565174,0.8851869252742592,0.843145680296436,0.8983981504363061,1.093780518984733,1.6784164044780219,1.7855162880659623,2.16258650779819,1.4067901065925423,1.2138808142771287,1.6734247359854488,1.4234332067748061,1.7692111977718794,1.375790226541429,1.396339967942391,2.3096436584763427,1.1940543706644928,1.0794010847721387,1.8057246226896615,1.610086111249263,1.3049947129895016,1.0176839514219873,0.9329323669290206,0.910388065766127,0.9755355624439791,0.9723737410956822,0.854363942284422,0.9584206498737863,0.7197179918496839,0.8362940309457715,0.7557652474640593,0.982416483608014,1.2113314414120366,0.9282984787042584,1.1015296525693625,0.7496126972900511,1.064639489747632,0.7336807341562124,0.6911022551386083,0.7122182204419653,0.807970087170339,0.6595235539226253,0.7633280497316243,0.8971858816632896,0.8586892197701186,0.7962587916951881,0.6472916084037811,0.6828055539753076,0.6785915560256204,0.67974836781237,0.6398250523740945,0.6709316519330883,0.9474398959546375,0.7967801109124989,0.6437718269034416,0.5965260073783403,0.720208788366942,0.7332445405610514,0.5787534944691595,0.5515326462490155,0.7896392251828187,0.5835743373248432,0.7347893731423475,0.6019046414903968,0.7227983606100994,0.9275552044996841,0.8255029408122153,0.9155295319160526,0.9756427053402192,0.9209219481518022,0.8603873923504762,0.7688570203537934,0.7018414226395142,0.6126279088876707,0.607412757002965,0.5381033605752517,0.5762749769716554,0.6256653189662046,0.7136861208651857,0.884350117551048,0.6350131697405401,0.6775412692622769,0.5934299519739616,0.60593318587712,0.5319069092497678,0.5390402779975626,0.606428367440783,0.7074933649232925,0.7228500528135774,0.8824653413448478,0.8958350157348629,1.0158824991096203,1.0845598308898845,0.979666190739735,0.900318619930471,0.8633341321107557,0.7780285910446,0.9035896308068735,0.7692040298436693,0.7343334182761311,0.705092630445872,0.9330577549003616,1.2447198007591531,0.8347812652199955,0.711598487102524,0.7523161358609369,0.6005315906280911,0.5736514735930514,0.5884753803579222,0.5826234953690894,0.585205938155161,0.7309788265716839,0.6832606665235406,0.8771957204749008,1.3726428574015657,1.3093371209145486,0.7145699252982893,0.5976893398802255,0.6600858207281396,0.5560023139174473,0.6523293594160159,0.6761224476836792,0.62074564643417,0.6666348880164817,0.7336088920077892,0.8086460448968504,0.9958955116543057,0.9493217910726924,1.1864184465971306,1.1260839070644795,0.9819162450163164,0.8607067838069504,0.7823129465301434,0.7782978640027696,0.7386169624544696,0.6708455080044415,0.7022266604385605,0.616351896035235,0.7203822203419843,0.7146012866876483,0.7562518702645252,0.7991993106255999,0.7936633820303646,0.9485855220750228,1.0448839449467382,0.9156664032008534,0.9219448860821725,1.0065107893505763,1.2829320689289678,1.8990918077775105,1.4034539907035282,1.4224594631586773,1.1931024798181291,1.1852834317291157,1.2074348197185345,1.1638790102508294,1.2978825079230842,1.2236962359125454,1.264381705907693,1.273553791413514,1.2338588525614234,1.2671764404016723,1.2010842508335047,1.1372058204820459,1.2454973053142757,1.3031699080324886,1.2273672733212146,1.2472183040632363,1.368368104141852,1.354089435094048,1.3142911204181382,1.4136797628397897,1.5114973534342009,1.4530700009178108,1.5097890637072953,1.7041928693227335,1.639927659244805,1.7713673602825366,1.6926711409986943,1.6074518513066454,1.6552609589219298,1.8277594564431505,1.969560252391216,1.8855010633453404,1.7720815958789378,1.8938906943163554,1.6045294429542167,1.4252716919978534,1.5316557442927718,1.6394764408917482,1.4708165710258194,1.5855673103717245,1.8627090820322036,1.8223969675497331,1.6418093271946606,1.649790390604145,2.0038381861546966,1.7688043106629272,1.5514693932220691,1.4084741884746448,1.4075064033720412,1.358725316028799,1.3198779534522647,1.3085611251775056,1.393668946662704,1.2478541790517534,1.2459201525693946,1.3215423809475397,1.2387571416230267,1.1927570914164116,1.2343033934397791,1.281122680352032,1.2922630859692599,1.2800877999027243,1.386584486398639,1.4295900744152503,1.5054911149693606,1.5158721971034184,1.562209892435588,1.557491524644448,1.5090186485361412,1.3983859733607629,1.5144667606452573,1.5633569121094137,1.4588230096339214,1.4614944340547462,1.591542756251213,1.5857996581431189,1.453139819740398,1.6201521778237096,1.8742124666375926,1.5632663242046383,1.5880611558415154,1.7992893623429462,1.8970677598218404,1.7404313406710081,1.5737849710382685,1.8084624776467182,1.7102829553079357,1.7633555644457815,1.5417037842910315,1.4477883814965287,1.3885645066959231,1.4286946200437278,1.299965917824476,1.4284140296487118,1.2762539143020348,1.3319241491958713,1.1171791189301368,1.1402257915062002,0.950267787184742,0.9826778451181613,1.2379682208405545,1.1094983690401636,1.5020906568461836,1.2331671705050478,1.0088450878525888,0.9264940784285984,0.8116204152233292,0.8392488414839678,1.2379534069304645,1.2596464197243533,1.2275404943108033,2.230751112767853,2.7771235644529524],[1.0921684095060087,1.0854228084801247,1.304698700452295,0.8101109795657442,0.8863996896400924,0.8125626725206403,0.7546241172125221,0.7625391422907629,0.7107529274153144,0.5971319172598082,0.5844393549506357,0.655176707639788,0.5706146313827349,0.5479047394534312,0.6027766038873166,0.599431735668269,0.6062123297523688,0.6244087007209931,0.7337470352086641,0.7536606850829359,0.8948016204668652,0.9749868910837716,1.2279398309849572,1.3009810005651314,1.2380515263432719,0.9316202183373924,0.7956602857362038,0.6787467721227418,0.6544321589811084,0.6180814426349799,0.6318153683735803,0.6165372288053224,0.6051037030139751,0.6277451222067476,0.6325984900269238,0.6769760944969653,0.6731310997048437,0.7830469145783432,0.7649429609419716,0.8668933606779272,0.9426106604522292,0.8852021280444884,0.9481475271921853,1.1535126324240883,1.7213246270397848,1.84049474017408,2.2015187764948965,1.4668092526248073,1.2617019210640514,1.7024975495696484,1.4932301200399067,1.7922467668726303,1.4792381849123788,1.448884319417972,2.3758683724611394,1.291476634461762,1.141406734460455,1.8792066548576825,1.666258133598474,1.347120156397154,1.0328778381486658,0.9434893533664681,0.9249070286102545,1.0029192472180142,0.9849602338468113,0.8796274018470046,0.9444379231214696,0.7105457138687191,0.8037233229571411,0.7568865974766738,0.9883713942207749,1.2016175440272816,0.9240553806057741,1.0678452900568718,0.7618373471145719,1.037547744922881,0.7459470630587475,0.7134076613534489,0.7656574860752743,0.8789406490078049,0.7324509576504401,0.8298739046742444,1.0470382201550108,0.981302966332058,0.8946878199023218,0.7564741290302855,0.7470032822812132,0.7379182144199031,0.7387470125661078,0.7052941020395828,0.668734334890807,0.9141402968878447,0.782251090381694,0.6522782152651737,0.6323991026627417,0.7294838460947624,0.7592555014649356,0.6350049148482692,0.624232447235985,0.8550840357470268,0.6914409038547167,0.8464047717738554,0.7433140180315861,0.9057664914896719,1.131929781024483,1.0303754229311644,1.1539585146794833,1.2176636638370628,1.1486113600630439,1.0643293248047143,0.9595624686932032,0.8467820506150505,0.7269350331910598,0.70053551189588,0.598129320887079,0.6246216074978695,0.6585970230382554,0.7312505910569919,0.8652049892481986,0.6439813701710462,0.6796339105120507,0.6191221322077077,0.6315640184870487,0.5746002189087281,0.6046377795739926,0.6901067128175185,0.8377217547184813,0.8592221513376112,1.0535749912052974,1.0893882230455383,1.229052740984755,1.3242325032807756,1.2183111719663617,1.1309128138852442,1.0615631357625255,0.9360057840788983,1.055560487157584,0.8701442369174303,0.8131923289323815,0.7820946545761576,0.9594008080765766,1.2473799134021217,0.8496682955982663,0.756040698377657,0.812391224321944,0.6743460920095454,0.6539151066461862,0.6791249606233151,0.7078347002179056,0.6940989111424063,0.8446034503644576,0.7983010961345878,0.9748126133055872,1.4204628960737762,1.2571962852334877,0.8037676627249684,0.6968663405704927,0.7985501108863212,0.6893320482874232,0.8207938873861678,0.803983150222561,0.7285346782215412,0.7765553446658134,0.8439631132857709,0.9311129525279319,1.1162872433412763,1.1065194449832967,1.3104365351276495,1.2801732631928349,1.112904741146041,1.0317949582446788,0.9155551021760615,0.9359149446813597,0.8985632805825137,0.8284084120065448,0.875951361372031,0.740128285798011,0.9119606961762509,0.8789362782189278,0.9660272130797323,0.9544250265409348,0.9893207318256169,1.1693560831227685,1.2644026182715284,1.103526943709032,1.0468967434066032,1.0461559265055274,1.341045585027837,1.9246663758620288,1.5349850690857811,1.5847137916622018,1.3304535006075626,1.3649931056579039,1.385359541601238,1.3918480853412725,1.5429130070173491,1.444009699102508,1.514227312013806,1.5277352174801924,1.4490411156736298,1.5275155568337626,1.4306057980510638,1.341997813404571,1.4688604876720677,1.5314592552513588,1.4042934257347979,1.410022774802083,1.546925844683401,1.5197177771232884,1.4264362066956624,1.522846475904146,1.6207607432760194,1.5326940057927712,1.5616502277662316,1.7521993003371215,1.7057297883684972,1.8977088809752327,1.8610113264578583,1.7923928958702964,1.8552396051181583,2.0456725207087483,2.243431404873693,2.1348909919641583,2.0419936178543088,2.113679068815542,1.9017961845497477,1.7217834116013528,1.871889463667737,1.9843719338410188,1.793025969283748,1.8783466523743169,2.1829653557296234,2.1217547939797377,1.9447946687197972,1.9849047798186548,2.308301167845363,2.044280293416091,1.81715613545432,1.6835370129102654,1.6673009106087928,1.6496034700066378,1.6020736602043182,1.5591042289501924,1.681832680139776,1.4767437061685151,1.4883065487657006,1.5555588846481703,1.429230378513106,1.3830697746818053,1.4322847591963352,1.4650080681521254,1.4409439100027888,1.4348762028241415,1.558508709405977,1.5784388902264506,1.6104766623403537,1.6568876170569684,1.7335538334623692,1.7405908364223164,1.7301233948719654,1.6334823742658506,1.779652738001434,1.8067472268277625,1.6739624762560938,1.7237172610876972,1.8667153315184852,1.8273177351203698,1.715409946919871,1.9426358467094764,2.1430315193039466,1.8156106782053931,1.889299781941623,2.134736802146454,2.1809799476831198,2.0063215950958475,1.7965268307378854,2.0666814597591157,1.9108011073198168,1.9344899652397096,1.6532511037501043,1.5822409242091624,1.4688300668211094,1.4964825524860215,1.4239970348567597,1.5711651996155627,1.477586647636669,1.5407710070063874,1.2826866172324647,1.3433749136351194,1.1045659228693034,1.1200943783332702,1.3982441414438223,1.265533843207302,1.5320069425669007,1.3701836005491406,1.1275732937866199,1.0639321225362692,0.9231156166567559,0.9408570027256975,1.3661216166306804,1.4313413856173027,1.3340890761210746,2.5662680835105514,3.1954982742168423],[0.8400003624212945,0.856238383411182,1.1879353984100591,0.6761395124188433,0.8553987827652769,0.7546464173875435,0.7502569609061949,0.7445715128855378,0.6846823154980627,0.607301638991971,0.5671012846490894,0.6415965640148632,0.6526780900406826,0.5868497402939948,0.666584842092875,0.707750279985809,0.7311209610971607,0.7845372429697012,0.9021121959178386,0.9314235319600328,1.0559247390231479,1.134510075177511,1.3463973203921655,1.412160734390868,1.3575906912390039,1.0836251111576973,0.9734780646414821,0.867087384716701,0.8355663579584107,0.776132953103095,0.7533280889834524,0.7456686016391122,0.7158366769361367,0.7702875177621626,0.8053041957505961,0.8595044748933414,0.834010341828213,0.9663587264205875,0.9629883040606031,1.0357067734721597,1.1201197767646718,1.076798890089457,1.1391362820070388,1.336031329201118,1.8473741377194322,1.9751636803743389,2.2697951022433656,1.5836143151994742,1.4087407566418273,1.7689786586610472,1.5884799486483792,1.8765894791034565,1.6094017281365998,1.5438926426138753,2.4467566168049566,1.429125117300992,1.2748059845789224,1.9656299852083121,1.7700589422674928,1.4567240119724918,1.153199656564623,1.0878027754013853,1.05294599751754,1.1484395995396934,1.1019808521224668,1.0439538300168814,1.0791765655902907,0.8698963067779263,0.9235207459063682,0.8783300022584394,1.0757476656207257,1.239595545871731,1.0007286498607109,1.146648453396399,0.9006686287781018,1.108953093622853,0.9084457362305723,0.8793155461485398,0.9524417259532844,1.0720087245212757,0.9206171934969656,0.9915845965559442,1.1723014462117554,1.1365280492124068,1.0604757920563985,0.9384342045432282,0.9316906424572532,0.9058188824941333,0.934493085489944,0.8784974183822362,0.8028971506610264,0.9834987327094882,0.8512655223557454,0.7324608745554091,0.7075530317278214,0.7457997827733721,0.7720396243115338,0.6903185718143042,0.6686657746189952,0.8161995892462985,0.7753721130456406,0.88130188581597,0.854139468469912,0.9665577963244487,1.212697343264789,1.0871212151709255,1.1842383766729685,1.2392772872059337,1.162031794827948,1.099387170071362,0.9781305610837728,0.9115776664702769,0.7827432151704208,0.8087111412618951,0.7142429290787486,0.7737556483370952,0.8316530027429432,0.9094767537316514,1.006282441944383,0.7949413538183454,0.7938432304753014,0.7164791666046004,0.7490306145775064,0.6717124457847209,0.6546971144842468,0.7852220758196757,0.85471082418173,0.9376815511579693,1.1136343453327997,1.163467687526146,1.2877905920404515,1.3703148785036405,1.293305491273927,1.2164888837432464,1.166370001537505,1.0542699329318035,1.1517261637732832,0.9984156655715859,0.9674003432906149,0.9565867672829624,1.10731297551129,1.3477935726517782,1.0075180428124395,0.940045148922747,0.9957838480232719,0.8743707342483295,0.8400184561454715,0.8213431516137117,0.8202349549589156,0.7578211449595318,0.8559401492254296,0.7767362471571089,0.9674043683865556,1.2908318790601856,1.1764610574439833,0.7870995619148732,0.7202843800839183,0.8363746644828696,0.7865744490822755,0.9170739674588559,0.9366536740892022,0.9003289092175922,0.9633041140631374,1.0237169951186793,1.088212443752372,1.2703970371047564,1.2294150005944295,1.3926448409878556,1.3663116900221517,1.2292044620603084,1.1552276291196792,1.058605816193919,1.0806868345882008,1.0459319731211045,0.9883331392337383,1.0038045128664694,0.8877750298591534,1.042202117931203,1.0406864857374223,1.1076460663109038,1.0872871541884923,1.100661329780251,1.282222907379053,1.381340369679448,1.2307066950279306,1.1940462901587379,1.1675412028769676,1.432313660312026,1.9952454043565566,1.6223698881357866,1.6436032522125676,1.4425945669463671,1.4450506988050265,1.4603425514150583,1.4512977390351114,1.5735592760566595,1.4855506356725037,1.5231681686653609,1.5067282538201592,1.4356919234246621,1.460338076036098,1.3665188030262259,1.301209498428407,1.3868113300332356,1.4196984399562804,1.3067569473452392,1.3159882470257183,1.4128541953720752,1.3802413569004857,1.2994431969773292,1.3770146015607194,1.4552830287443757,1.3701297967694714,1.4236999971011564,1.6044599304212417,1.5707159322835764,1.6977623771523502,1.6727077990901085,1.6151104242732006,1.661879980026276,1.8522878444634145,2.0034155562487426,1.9144207602938668,1.854623886454143,1.9699061274934362,1.7410698614018072,1.600314100654745,1.735703765414242,1.8246808874342264,1.6600702080006888,1.7857883552256717,2.06805328287896,2.0016916806791705,1.8584516054157831,1.9057772563452269,2.2244544538980557,1.9581337986650056,1.771868493997816,1.623330177027085,1.646345221084213,1.5963347882196806,1.516263311737084,1.4814664597952585,1.58660995380152,1.4152641289460257,1.4237968679061859,1.4622737812406055,1.35061568333642,1.319555078225126,1.3302418746821563,1.3337879472428205,1.3196811039565992,1.2972782701848447,1.3977884326745205,1.3933607177747387,1.4344005035776606,1.4727511488137701,1.5318037736058745,1.5563912625872538,1.5556830136312756,1.4999436847696677,1.6208541207956804,1.6181210187438262,1.523923986835601,1.580347662070215,1.6862951419828356,1.6514260255629192,1.5774729089303612,1.77140269281087,1.9636710038303549,1.6614990824437021,1.7571065473739391,1.9530216384856434,1.9858841921035009,1.8389674520804717,1.6434227929827674,1.8720465181321913,1.73320486662659,1.7434666623859163,1.5100753065035195,1.4444048275205637,1.356061012103005,1.4072759652761095,1.329310978772946,1.4696805395076749,1.4030103431538412,1.4516250703237212,1.2474249892183036,1.3392492521517816,1.1250559161149862,1.0687128488104398,1.356435678442076,1.1893990083857773,1.4764100079059947,1.360864144332154,1.0241001976059805,0.9508592789360627,0.8760973840439521,0.8169950103426096,1.2742083710876597,1.256250230670757,1.2163512154560143,2.4143799892068243,3.0172000961769645],[0.858467018947789,0.8781178902144237,1.1935740471377816,0.662803061819413,0.8040573424518502,0.6961093337066263,0.6496403642674298,0.6511750940160176,0.5940233863661285,0.4842619768626339,0.4519316770207592,0.547461064500161,0.5023964519071833,0.44378146434883625,0.5151953752879009,0.5363505558806081,0.5601247414351821,0.5918881873951916,0.7033635348837196,0.7133631048965011,0.8316519729359527,0.8982825763115019,1.1411824275936708,1.1963033290977352,1.1605600952872523,0.8718783912350612,0.7686556298718821,0.6603798259624466,0.6362837456367264,0.5941021799019435,0.5792499391632326,0.573737145003014,0.5572447564283277,0.5852279928802178,0.6057921075125834,0.653708603826879,0.6576328694451387,0.7732133251878018,0.750687890390804,0.8147081831543801,0.9136838085634837,0.8693693281458053,0.9282878667238909,1.1353099771483541,1.699334466597211,1.8588146442743527,2.1598312896310192,1.4098422978014227,1.2538193684511179,1.665387102490677,1.4264284811154226,1.7878664068416816,1.4330991401119686,1.362853584885731,2.333075439641148,1.2340220596827618,1.0663939091849464,1.8058719850613103,1.6626509578916129,1.284031260351694,0.9672048102651829,0.8895761298350802,0.8434519875221064,0.9065498787387105,0.8884889914036148,0.8168527979335234,0.8707332010512754,0.6599351675269416,0.765453285741781,0.7124123002402405,0.9440780803247456,1.1362151944185157,0.8642790489149531,1.0254795428711738,0.7153610820470769,0.9924896268038793,0.6937503360710843,0.6647908245097306,0.7318555244924739,0.8381548816615926,0.7280818035699913,0.8052648036331941,1.0236581584369908,0.9556004673143585,0.8953103535925604,0.7471036324760769,0.7317583725203564,0.7341030960291074,0.7100188763111477,0.6824090747659007,0.6170338228331841,0.8363649104979254,0.7017943433431382,0.5744998297986019,0.5497007875019133,0.6296513353744884,0.6649057851794471,0.5524439006469306,0.5395277131473843,0.7672323680691328,0.6432207516754884,0.7960570710476981,0.6967898464918982,0.8361680563506619,1.0618793360587628,0.9618003653179555,1.0665061155414295,1.1009853777803702,1.0492097828189602,0.9725517706203038,0.859614027928169,0.7814097433097017,0.662402843704787,0.6742288004435621,0.5575794892717092,0.6016330371842288,0.641217445103247,0.7173964215061297,0.8425945410117002,0.605529151757541,0.6317105992839926,0.5573257378039536,0.5916662415506664,0.5165848313157428,0.5143030771027856,0.6666386045898645,0.7657048007809634,0.8193646231125893,0.9987697919692906,1.032822964409149,1.1655273941252386,1.2490356933310889,1.140917289194013,1.0674946272862855,1.0124116518494313,0.9053733299784906,1.0179181188997652,0.856806170813885,0.8052924991713192,0.768019345946019,0.9527278662111088,1.1913030966299774,0.8190981028441771,0.7487686239645365,0.8045452503955045,0.6654226306840993,0.6447740685941636,0.6541626032367894,0.6646540671003175,0.6384570824375201,0.7709494077600101,0.6952514122059031,0.9032806227224572,1.2947449033885603,1.2023887051494797,0.7151521264884069,0.6185157941058251,0.7288578168551748,0.6309593376714729,0.7521893484902175,0.7663053058760482,0.7154238355147404,0.7677071518423502,0.8203518904672837,0.8893748732762645,1.0963916230995365,1.0362034147143218,1.2250140788017,1.203118329586205,1.0736213871189266,0.981450484000393,0.8795253435184626,0.8953136856023276,0.8633291364498062,0.7972980256967257,0.8331921692257512,0.7244224570469815,0.8796639550829931,0.8482644637243701,0.9163307832142565,0.9176508572858427,0.9328465760024901,1.0929414847906318,1.1845016677353952,1.039421686946188,0.9885153006521793,0.992410054646446,1.2445845331557663,1.9468251885286443,1.4174652872240798,1.4257712883173983,1.2552717293641322,1.2659987792968237,1.2947438668284312,1.2912741564460184,1.432649175978148,1.3569347600504285,1.4002622305656638,1.4090772256666133,1.3634193584166632,1.381359744468529,1.3048405463922241,1.2396118618632486,1.336064929217239,1.3746299152399322,1.2786690124107534,1.294250027256875,1.4028864550657545,1.371374767519905,1.305297056213201,1.3922708521872864,1.4739053236074697,1.39902420918304,1.4519723844270238,1.6406531879762072,1.6004449166947865,1.7131302585758879,1.6709288240033782,1.6063054316651137,1.6398003912187396,1.8245593393542787,1.9352938836055795,1.8699550320536393,1.7817563434744559,1.9197085376929868,1.662998783552132,1.5204716200213622,1.6274564541360823,1.7175598269686134,1.5723963600834974,1.697031848064361,1.9536550020435686,1.9258788131589053,1.7649740691746896,1.7591958342582197,2.0969077959110614,1.8579579507756803,1.672043085199576,1.535270284388866,1.5357180010181724,1.4813925980759262,1.4272523239526946,1.4059626814342892,1.4967139511508663,1.3306011780337164,1.336082135343402,1.3973466941959196,1.3025036034056685,1.254843936027153,1.2891863238341923,1.3081312468707507,1.3001618210431447,1.2880994302450568,1.3924449546577184,1.402937371945617,1.4559852412955028,1.4863244574528023,1.5335128921235368,1.5501553086060285,1.5312471759412443,1.4529047276211067,1.5603132124621149,1.57882165609076,1.4926876387084203,1.5248757031294855,1.6261298520536565,1.6117563245819742,1.5233561730218113,1.6789545015959522,1.8875269827657397,1.6128354680847239,1.6738561395201017,1.8441484193028657,1.9190944664954186,1.7862931348017923,1.6258848495757736,1.824075127308129,1.7336335196560553,1.7395713096572323,1.5366910066269512,1.4588508758857262,1.3750828371014885,1.422233151650407,1.3385627019370145,1.492177520159342,1.3797274771769603,1.4249612933606082,1.2101578810901004,1.2621516724063608,1.0435138396886607,1.0255503425818207,1.3142125651110206,1.1597189793705638,1.481146106853982,1.288924498445266,1.006001715798229,0.9186982649211958,0.8049402629628891,0.7913746440249779,1.2271484925445832,1.2496212187328346,1.177382915597219,2.3581700594155097,2.928957740464897],[1.2088815038860774,1.2100056886351265,1.4536251807630214,0.9693583271248596,1.0392452774287744,0.9800813338868319,0.8978043871097017,0.9135638202677392,0.8829409488352079,0.7901850309850645,0.7960575670688991,0.8798310528562568,0.7925142929357403,0.7995369492580781,0.8307222769143481,0.807315715309126,0.8035452467913782,0.8198188813019077,0.9146820066872372,0.870646864542577,0.9866993665962327,1.0073185215042568,1.2859799930021787,1.3479920328311348,1.2698721437548846,1.0327617833025322,0.9082509964692759,0.8301564004383175,0.8236643654560678,0.7977191946694172,0.8147310624899116,0.8144771366997803,0.8277505302216545,0.7949186194889649,0.7856023108512421,0.8042299731064202,0.811266927747902,0.8927407083872427,0.8499273528643537,0.8609843218089265,0.9562361241117611,0.9643866695990706,1.0007359434063892,1.178924011770207,1.7444185143144686,1.8922357202050528,2.173040390242319,1.4360266885294413,1.2826577181392351,1.6674287155931822,1.4282046212714075,1.7997023427417753,1.4294161838305393,1.3630930766209797,2.340370993594188,1.2463530063563877,1.0890755307212334,1.8225118298397576,1.7178847263709174,1.3327502721663165,1.0461655440574642,0.9851132973885454,0.9531384952324505,1.0281180065268694,1.0161261979314986,0.9177483237954744,1.0443188749501662,0.8700595090127858,1.0245062444908455,0.9785264610018853,1.1754898967107108,1.3246710239651036,1.1371797737791196,1.2523749199430427,0.9390118330793643,1.213977681330173,0.8560670441710333,0.8380868053226208,0.856376179324691,0.8978375374899515,0.839756017595591,0.8863035364831762,1.0996773565534008,1.0021522177030766,0.9599983013920133,0.8423200688084816,0.8317124822844527,0.8692811371240688,0.831981670456968,0.8381041922341583,0.8180124501106261,1.0428886117273084,0.9142447309896431,0.8394067653747842,0.8351258087596327,0.9379806526949009,0.9578847533520625,0.8684835621326409,0.8534203256689408,1.043150189330219,0.8874730461202255,1.0365382152226765,0.8778620636595551,1.0283781476583553,1.1774112101750827,1.118518042802214,1.2567118529459083,1.276504728264876,1.2515642712741246,1.1469542606221157,1.0557016645757895,0.9298108046256042,0.8793514984924752,0.8510046763696166,0.7841967203152004,0.7832704946504798,0.8318408669106546,0.8897870179134589,1.03296951124269,0.8675969756662755,0.9124734986014542,0.8403830701967286,0.8391095848544194,0.7746332413086188,0.7739239086885691,0.8432826152304058,0.981544964113986,0.9617997664392455,1.1272284180026915,1.1434401210447092,1.2747991470709674,1.3800149936748263,1.2282923078652634,1.1632679907493135,1.0795249180717958,0.9689843743318564,1.0686178151224535,0.9087387192267649,0.8774204592624242,0.849978394773769,1.0470356128249132,1.2730628099607764,0.9431752770038989,0.8775199213291193,0.910605492833791,0.8089145910385999,0.8062498701705485,0.8303804415700236,0.8464417498929504,0.8759263566038402,1.0031978895338869,0.9585138806992483,1.1527073741851832,1.5234233666533863,1.4498891102119136,0.9885248659285802,0.8978705709641499,0.9664054329296415,0.8397620075547096,0.9017015412682449,0.8646687442470203,0.8476877536442929,0.8555812701893554,0.8831847862819371,0.9063399751473623,1.0884133745907012,1.0398270120517403,1.2026795262297068,1.1945130024816903,1.0760029864616298,1.007656588746594,0.9008280659547858,0.9252059661735434,0.9165735155916293,0.880233933845328,0.9484993498787999,0.8831097073651435,1.0045975161761098,0.9216932537158542,1.0043079796656011,0.955595228996941,1.0133514259380447,1.1249110492578462,1.2000789469529665,1.0642192028177109,0.9896381286261421,1.005509391660396,1.2327947664086991,1.9916975466666313,1.4040037350522654,1.3962335210097951,1.243302829786288,1.274700829334507,1.3190129640786905,1.3513946466197626,1.520884393045745,1.4518673327764733,1.5531321238432276,1.6139940083166169,1.5711151663939515,1.6768697237417822,1.6109625733935298,1.4997497055024327,1.6483108320661854,1.745912029363146,1.6238610805224631,1.6141651192667326,1.8112830345746738,1.7984956024686842,1.6788653545504735,1.795935721266486,1.9220937174316737,1.7871241378758043,1.8004667861363046,2.061138882410524,2.0167236088210045,2.219204376269896,2.195237791780163,2.1072681511263394,2.1887549103139077,2.379524503466831,2.5356408860315076,2.456925374901477,2.317626429301456,2.3708670215391874,2.1305500339460943,1.9312387023163051,2.0397135839508436,2.155221641024301,1.969310902799386,2.0630287887647194,2.342741755481088,2.33638415484998,2.090466263904317,1.991762606879167,2.3758191440658614,2.1342022485625383,1.8457588288614144,1.8054280778362854,1.742024835234183,1.7493665808634926,1.7639323569282692,1.726474904413917,1.8792329007929982,1.6324439295712463,1.6341087721868763,1.791214423955323,1.6850238198810705,1.563068301857044,1.6742959446016192,1.7230529019325125,1.6876338131362438,1.6893477678468636,1.8540824551954893,1.8489065861887155,1.830710947352498,1.9388053423717806,2.0271029749022835,2.0613310683895887,2.040866252234674,1.9092836863629257,2.0293536802989536,2.1009280474623955,1.9553526016379474,1.9734065823340727,2.129761123001244,2.1103376609803726,1.9347877216089173,2.1509681739470055,2.404424792316381,2.0480032153605876,2.004554775089662,2.2559227892928817,2.3601430550803015,2.1998281590770494,2.0383806411412877,2.264404526256366,2.1793946382902827,2.2708985622359292,1.9190828918004812,1.837442266926796,1.683477394428932,1.6964376497072589,1.614338120629394,1.7823699913934286,1.6294784908095652,1.7241608640610333,1.4343617648071243,1.4577425519156808,1.2071093963847541,1.2828311261662635,1.5600099599356998,1.4871853700148885,1.6867089376900362,1.4785337170593982,1.3508568568935149,1.275106544874522,1.0663897630874386,1.125439284654807,1.5085886954891687,1.580450848600802,1.451673820100713,2.736072214905266,3.4008943135683602],[1.0572016425386923,1.0917448606812028,1.4801486882694401,0.9075544024506959,1.1423120364312027,0.9990121576266695,0.9332427318762185,0.97407900271771,0.8156304108751529,0.7008798250919767,0.6505673503972329,0.795032805689056,0.7626657053926253,0.5956002435180728,0.6600803644671634,0.7286703365590591,0.7288473674592941,0.7306971984396823,0.7825406652947787,0.8477271092052391,0.9139520936869494,1.0028154325121015,1.2003999510696692,1.2531786371305196,1.2154493084655116,0.9549263179531826,0.9071776561758841,0.8089225102889036,0.8265063333593052,0.850979704103945,0.732888151944169,0.8532625849716939,0.8224820189756725,0.8196612657134983,0.8687114886398363,0.8779876638658382,0.9571161018847071,0.9712991377719312,1.0030980070254303,1.0903087985948832,1.1431806239213802,1.0271961927574516,1.120370065915547,1.3286408346381917,1.8214378735229495,2.0129568436248344,2.26902272871714,1.5963938453781803,1.485514273187077,1.8242487345414216,1.6591972016005412,1.9291410282039747,1.6525883827906604,1.504112148795248,2.458908163865256,1.474000994230396,1.278164530259519,1.9438136280363003,1.8163252360640125,1.430312292537446,1.0723992235808735,1.022702933508979,0.9550005886645025,0.9659485868917406,0.9549196222164338,0.9314812012762317,0.9230744553025301,0.7746809245031112,0.790194901784878,0.7419782526295619,0.925576771802663,1.0876374211136577,0.8389335923610002,1.0466074502803746,0.7566582933748707,0.9869826597107141,0.8420326889126546,0.8300954894652899,0.9512885831373576,1.0792507960881532,1.035572543974437,1.0943303564136815,1.3742530409913785,1.3647119975819404,1.2655312552675235,1.1111299119421394,0.979102512005616,1.0434278423474745,0.9413344741475268,0.9227534151439031,0.7906247928464567,0.8697828704239325,0.7643753248375821,0.6986543997563387,0.6834696298930059,0.7065100689582482,0.7668367208331824,0.771160296225293,0.8237909021315039,1.0644515252535944,0.9850281996588796,1.1918736767854206,1.1178778083073346,1.3189786566090016,1.5485758049267173,1.4483129548359683,1.6316844351621693,1.6957231673958355,1.6104567840378163,1.4777670635462377,1.3199571508320007,1.187019874831597,1.0129379299741734,0.9884698246782444,0.768921194330812,0.7731948069340466,0.7759362621581806,0.7877701603124402,0.8398827222910034,0.7041780486684334,0.678173226223955,0.6535664096576091,0.6765986634964023,0.6558307000465823,0.7146500022960581,0.974907025199272,1.1451817708308267,1.217657568742045,1.4483858302575177,1.512140066051978,1.66617604873884,1.790665070658838,1.6576591283588926,1.5909153638895883,1.4809430172708316,1.2995753912815335,1.4005714617506873,1.1521102910717085,1.0096359623936562,0.9850209680442659,0.9862581951913334,1.180307362277497,0.9255937204470699,0.9002007000080485,0.997514468357502,0.9172883012018684,0.9080646314374026,0.9195790538997064,1.0227676345525953,0.9704142967915529,1.1519923054503436,1.026753438758701,1.2590859936889103,1.44990542231603,1.3324302749644779,1.0665975905276712,0.9568940956045145,1.1324443188571403,0.9964501063966706,1.1690801713507166,1.1488234282957255,1.0511128773517306,1.0700065379815737,1.1461106307492335,1.2201086286728018,1.3360695189627392,1.4033088698676248,1.5263365730828455,1.537176381659326,1.3871520932039993,1.3635352145038864,1.206181155815128,1.2669359174672707,1.2755823865072866,1.2220616988569875,1.2747430123461478,1.1183596902398054,1.3301149078290324,1.2600551298368328,1.4196858034474056,1.3450397432504326,1.4079323655649862,1.5726407957129034,1.6497899163441723,1.483319689850908,1.3806690358715954,1.2259610925048912,1.4856254697186497,2.0200807196059514,1.7053241170237152,1.725778826696392,1.6066656377739805,1.675106830004231,1.719992626790141,1.7710259629507539,1.9149073878773704,1.8437208900616964,1.953508360775762,1.980012108248173,1.89596597253236,2.0072630528362927,1.9056489186501806,1.7868793502088622,1.9257658688923711,1.9920755509688775,1.821698344590725,1.7967199262095075,1.978795866821446,1.929291252406213,1.7600300717148658,1.854059214420307,1.946012103162174,1.7868572035402415,1.7742830213243603,1.987556877412998,2.000470797798418,2.1711339604455593,2.221864903945884,2.1976124363834186,2.235932050275269,2.4706561582762845,2.576348533155968,2.5371837616145707,2.431118634603991,2.5365661783727167,2.3744266525047943,2.243478871789843,2.3654725218757804,2.442849659732611,2.280326447692111,2.3790143016778593,2.662422567896211,2.6141526240539763,2.428814293085484,2.3911026919710388,2.697763079908384,2.4653810640653337,2.2201262535158466,2.1596951965440305,2.1089973123965406,2.1321910289777706,2.105940274943744,2.0704615945636102,2.193009578693009,1.9777963152583529,1.9751922591125668,2.0580759809112044,1.9286374942396134,1.8293338427326096,1.8978449314617407,1.8945321976884435,1.8261333237583668,1.8156009449328114,1.956738317437849,1.912844376067342,1.8729710274674563,1.9705602530083017,2.0597589503754494,2.1215968604462376,2.1566420370087984,2.114628067803986,2.2260118057961003,2.2323846064413915,2.1240273059119685,2.1910805474265302,2.3128711112215754,2.264280137562385,2.1820911753244676,2.386058869557568,2.5562014484810502,2.2653360154397904,2.320440742209484,2.5318389562210446,2.572429282308851,2.441236965095601,2.2433599216840316,2.447498541584653,2.34436419919838,2.280641341857043,1.9724895031511152,1.9489218754280708,1.7582631293050506,1.7713161173975709,1.7580760529196748,1.9555573566664324,1.9057481852174176,1.9739816627656666,1.6852840830453788,1.7810094520528945,1.4781719152397028,1.479840906620691,1.7831554225984778,1.6895317797361191,1.7916027562602719,1.687402116639387,1.4389437820073099,1.3392478461928548,1.1838796295256835,1.1374696869715504,1.5399717492811529,1.5523612631778367,1.5285344584830318,2.9134982192366548,3.587156294506295],[0.8926099539991859,0.9198457287802648,1.3239690946295384,0.8259672445842712,1.03149852888773,0.9300466395111759,0.9129728826207367,0.9398457932764416,0.8424863552074605,0.779093450645286,0.7480342055432624,0.8392248299307802,0.8309405358212673,0.7182148245788303,0.7714563215212178,0.8176350674216021,0.8236623217898733,0.8276180334847237,0.8663068941483866,0.8939752855913673,0.9329574320334452,1.0015053473862565,1.1610523855681072,1.1855741507401787,1.1618796484714449,0.9587107249146689,0.9340566616385985,0.8463503058180863,0.8810663789181561,0.89293447801665,0.8332255649686664,0.8876909306430034,0.870315392157824,0.8724601299836641,0.9135332775961336,0.9209448483228289,0.9685340822403571,0.9871397776196028,0.9948632604039898,1.0538556618056178,1.106550835021077,1.0381453471130726,1.113341433252074,1.297917566276932,1.7631086442676458,1.947976798709312,2.1991096985819665,1.5465572297089965,1.448379217170838,1.7586671302256514,1.5953849068389787,1.8894522021830367,1.620246546311899,1.4311050486954344,2.3711808927930407,1.4255003626797376,1.2506601878601027,1.9031816042634249,1.7870481406806151,1.4676566891803722,1.0867106564564852,1.0486143512118653,1.0062572811489598,1.000602412160303,0.9794514235130537,0.980129052955162,0.9570158998722287,0.8398314906923625,0.8603944107509711,0.8122278357366216,1.0019618682093365,1.1783522255204815,0.9169350676387461,1.0832481568557282,0.8387991297153192,1.0750327964203978,0.9028320349532761,0.8958739310556181,0.9726106736132729,1.0698428124255104,1.0212614013863295,1.0776239411927468,1.2938155404081517,1.247569680035966,1.1665665977313504,1.0728429730049058,0.9787588339699037,1.0090222721273943,0.9731786479500245,0.9817261000980246,0.8625155485154692,0.9615331404882725,0.8666316102862132,0.7955458008595444,0.7787917649916934,0.7994556999671939,0.8466091465011013,0.8219714358771402,0.8439461822549826,1.0427362699262668,0.9794612326373585,1.1282752601776471,1.0649675903239717,1.203359232996952,1.4112345998578766,1.308241398245319,1.4068458486467268,1.441695617389282,1.3796579327247354,1.2960787648173453,1.1740760415855798,1.098126647567413,0.9752131786831888,0.9818364158893663,0.829726841621016,0.8256545639494743,0.8282717457138485,0.82924497321853,0.8889367094731102,0.801451091088375,0.8000206112083654,0.7724863873628912,0.7875187801634003,0.746687938058998,0.7674969589225347,0.9575475802375137,1.044212593440197,1.1264931032894678,1.3070253470241824,1.3545590930873148,1.4636549943137724,1.5591575227970647,1.4435224327819163,1.3980197381575434,1.324451012214387,1.2020540328918878,1.272518941601052,1.0944749353197756,0.9783209439805802,0.9606514840391999,0.9904186374366195,1.142196833687432,0.9208827935710299,0.9022330086801632,0.9803938018935594,0.9206831398665278,0.9049303470931798,0.9329215139485486,0.9929161986506394,0.9534536049203809,1.0767170228320349,0.9733073832875545,1.1424124035663943,1.3974976209013292,1.2833205822745433,1.012705358206764,0.9370975708200568,1.0683664264504116,0.9803424018552598,1.098754128601089,1.079775025078298,1.0183917839296779,1.0293652666998176,1.093792480155402,1.1475889305754599,1.2788959262705808,1.2619273256876786,1.387648634218259,1.374800377957915,1.2898790990634064,1.2338705301587771,1.1234489884374481,1.1760826938459097,1.1784241439087844,1.1349112237479697,1.1863892333742991,1.0714246372453873,1.2436530410471451,1.1709745518720078,1.2779335394086522,1.2380810763134475,1.270944052287076,1.400490855798553,1.4782380244799262,1.3292259457684463,1.2482017195149706,1.1514400998219905,1.3822806913037833,1.954030050357039,1.5436112275445228,1.5477866123595476,1.4221175081647548,1.4700895282222106,1.5254243925872544,1.557351516566832,1.6797865403645276,1.6179241898156707,1.6788999766387251,1.691479328163021,1.6447559867847887,1.6650418915735217,1.5960761486876671,1.5308340032540944,1.6057632110447102,1.6277284969488501,1.5279860540215124,1.5250620777887889,1.606670941797587,1.56127126205714,1.4744740004408752,1.5254707772912683,1.571383278228888,1.492209263829379,1.516348547604919,1.6517232744069015,1.647077671382363,1.71896749743845,1.72229279574903,1.7154708362228195,1.7182253249267265,1.89689685681472,1.9962004103224422,1.952976460443207,1.9066285904932956,2.069567448271888,1.8742808925903534,1.768383000729666,1.874847008522042,1.9308808511121913,1.8223508964819848,1.9481161049458575,2.178874222630464,2.141344122272968,2.027112612448651,2.018020009518978,2.305127240846624,2.076136374459958,1.8980889780957602,1.8048526718791562,1.8223298493739508,1.7672036899768506,1.706118631228545,1.6803934205322033,1.7800641661752927,1.6190732594531443,1.6223125878894757,1.6639286776718052,1.5734145268802553,1.5390832978228768,1.5496065016728946,1.5360088194197072,1.5212061521920095,1.4950514515375588,1.5608273337253322,1.5495702640502445,1.5846790873740222,1.5942848173966893,1.6292260975833068,1.6675075243033701,1.6920273939437271,1.6768955950656461,1.7664261952214386,1.7286795417082728,1.6846379466486485,1.7425596749737597,1.798178545848016,1.769968115895241,1.7484369975116845,1.8768544925002868,2.0027991476390588,1.78987441381065,1.887714729501169,2.0124448091718827,2.032771943877563,1.940732889936089,1.8009388644033366,1.927835335905389,1.8393151210854883,1.7803808213311618,1.6270920620203702,1.6009298236115421,1.5140359401159698,1.559694889368173,1.5071668297150147,1.6643911344994586,1.6150038575082843,1.6566384454364993,1.462034475023367,1.5470342696656663,1.319989630834452,1.2691011248228616,1.5797291093389823,1.4255374097136262,1.6194562833831754,1.5557244121147018,1.2248375606306057,1.147263960432386,1.0751251494745446,0.9730179392161415,1.4169113121529686,1.387164929835137,1.3700714993423446,2.6617379432041446,3.2536386143845992],[1.0018177947935945,1.0365940629918187,1.4063732715795771,0.9335543013518635,1.0915875360369607,0.9922113592844427,0.9692732452457011,0.9722467471266948,0.9024500170285256,0.8200703241534708,0.7974239447238828,0.8706042944107361,0.8566361095925508,0.7818891614978437,0.8155389204504063,0.8260892003562422,0.8323435998776773,0.8348222278187729,0.8523687303624707,0.8822830628688898,0.909191450504692,0.9327590291552345,1.0917358748520483,1.1288535544660658,1.1220190090804028,0.9338525014748914,0.874011408435248,0.8418470260350257,0.8735880517754736,0.8866095494200011,0.8465287719297611,0.8776827202301658,0.8933583159018297,0.8712972234442959,0.8870517751411967,0.9051863151667421,0.9376802009047518,0.9162533477921032,0.8990825676331062,0.9361651046819407,0.9761566340805834,0.9225962866094376,0.9672804044977188,1.1423072367862366,1.6634590391092723,1.8977190148186314,2.101591414299559,1.3978763164824626,1.3365014011163003,1.663553277618796,1.4588648357289618,1.9569950733130435,1.5190164012902228,1.2489725564912844,2.200832093131459,1.2180816776667032,1.095750322995794,1.6753848021663167,1.643228840627386,1.3167941187413212,0.9982799389601072,1.0024405088887713,0.9752508382647979,0.9575462349927221,0.9357258352612896,0.9123168846352135,0.9719346757419551,0.8668838192296486,0.8978580090067994,0.9014094873301028,1.0773510579624983,1.2168421150815256,1.0137026407746572,1.1653836411423875,0.8783351270412251,1.1438735701068883,0.9027746452179511,0.8848614930140072,0.9535314617453209,0.9840496552576384,0.9546204972542379,0.9900047838135483,1.295760076988295,1.124836927426892,1.075604237469536,0.9963114412135932,0.9086948741216309,0.9734084569111646,0.9178420419896677,0.9373480702011229,0.860181591216679,0.9621287258830865,0.8770135453489112,0.8321058185333069,0.8237984702584688,0.8667391230520395,0.9274789250081333,0.8782600288440493,0.8839647810823764,1.0718328229548748,0.9425867761769503,1.1080717135310558,0.9983602819137901,1.1587162225992211,1.2783056231814571,1.2226682169760348,1.3319051282564356,1.3345849097728888,1.3005321232867373,1.234015155017721,1.1366707657088722,1.051569864302991,0.9732151288733303,0.9602802603366054,0.8590927727024308,0.8595660945776036,0.8575796104184399,0.8654473970903717,0.9319920762776609,0.8284659003824763,0.8423482757318126,0.8182532534826413,0.839934770815559,0.8080979091180406,0.8331643764622472,0.9716855898898438,1.0546300621494458,1.088763920195304,1.2467145807464153,1.2597585156223745,1.3781988380713732,1.455701989504899,1.3212411571878988,1.2739724397359953,1.2056919906691146,1.1098558357494814,1.205620130924126,1.028472710504296,0.9358107393512028,0.9099405759345301,0.9899627238835675,1.1180986589183315,0.9154555416143964,0.8806123097458867,0.9110136086401499,0.8694756340381691,0.8751004637347205,0.9037523993871892,0.9520906423430258,0.9636184200812598,1.083669877225508,1.0169309523345507,1.1741517202983767,1.4349476789709878,1.3699479896310727,1.04729441511353,0.9494694930740438,1.0497177179065438,0.9390840385550657,1.0328484355688374,1.0044172943329976,0.9358488508246199,0.9517529406273139,1.0102126872934236,1.0393526762063618,1.1434295252593152,1.1454866856837724,1.3019237138732926,1.2974962460524806,1.2275230893645153,1.1360316262071004,1.03594879141575,1.0780375263515736,1.0780785214499622,1.0446982461214838,1.0841164926198346,0.9960746774385596,1.181176683670317,1.0752862462786883,1.165283390151579,1.1252141579591732,1.1611586082516965,1.2578719073880968,1.3042496700119404,1.1985330113855794,1.1277766898013903,1.0655150686311032,1.2649000993395214,1.9899770938941042,1.4044841272181412,1.386494696791891,1.3178228906810843,1.3295630132864025,1.3710446692259846,1.3895680840637816,1.5015349963435187,1.474709687578326,1.5604044783591673,1.5943229380674657,1.5864845491129764,1.5842455892200151,1.5430024575463068,1.4922407647846982,1.5599080366319849,1.5858279858404263,1.5120120104323445,1.5193759759469794,1.6037941145032788,1.5746837757808592,1.5080257701508004,1.565385899433837,1.6221524610572664,1.548521260359277,1.5731905014464185,1.7229679791229113,1.6982328152690116,1.7906959157190834,1.748678906210096,1.734792648737286,1.7328343133399302,1.8827375935553852,1.9492546590917883,1.9377264852232625,1.8799207684649095,2.004837540663892,1.7750370205658503,1.6684199414388785,1.7299347620724501,1.8043624848673117,1.7171890978465614,1.8446188460272381,2.0459039098295864,2.0742976296730156,1.9201020886539573,1.8348263707083776,2.141147605217747,1.905125671546777,1.7672255259608631,1.7053976017310502,1.7045218869027963,1.6413620123006867,1.6017614939524427,1.5900464101276341,1.7013930044963905,1.5296386363134058,1.537607217637127,1.5967524133670004,1.545601149078565,1.4902753688583565,1.5163535494974059,1.5300572221965503,1.5153657378932952,1.5064889092013742,1.5844063286944408,1.5784607223635219,1.6118797887581924,1.6367248831278873,1.6764527263009,1.7008954953716608,1.697853359050783,1.6422907775561004,1.700403166856544,1.706229559467471,1.6623774127222142,1.690053713081584,1.7375458721655732,1.7314528185200526,1.676322713883379,1.7726891995251175,1.9296384295958795,1.7214110945124645,1.7687479688663315,1.8594483881683332,1.9191864472211237,1.8352014023842342,1.7615733438553662,1.8184039400792982,1.7930408575188281,1.8215692947249515,1.671527241768454,1.6324489170004433,1.5601508288202348,1.5999190454675785,1.5639857345000383,1.6969373880567113,1.6011021474019613,1.6447473472238463,1.4637868579774655,1.491130089807963,1.3008224940298012,1.3032466914525926,1.5970312647705902,1.4381419667527182,1.6977778673342863,1.5347182405955324,1.2539017105358787,1.1670389137180397,1.0841310764209875,1.0457464787793258,1.336934824776299,1.4502430146081897,1.41290243908687,2.799640786051221,3.4099262099651657],[0.7655062165519831,0.7978612545025472,1.1293452904546224,0.6318178635624715,0.7584161407573661,0.6930297676266464,0.6664361849250929,0.6647900983603141,0.6297253254413636,0.5259744497963266,0.5043523921918547,0.5807004865680353,0.5339942858836536,0.4571182936246773,0.5215377683724709,0.5390317840849121,0.5459392381233904,0.5628286570947398,0.6391466119112866,0.6290115282448188,0.7113799140588746,0.7561802284814232,0.9897315931716664,1.0268342271327229,0.9915812103172635,0.7435432353675515,0.662636472099198,0.5739940437622819,0.5936904581039533,0.5797073511950099,0.5618980224241032,0.5730920095739722,0.5715775946967465,0.5772073735486761,0.5888436621499706,0.6180217758371654,0.6332569905404137,0.69648454659403,0.6623656905965345,0.7040959464493763,0.8066267941638572,0.7549240636309175,0.8152083816638026,1.0277349228436252,1.6044573562533895,1.807264101180727,2.06361531631502,1.3155038522204554,1.1914478846433083,1.56561502008946,1.3267443429892707,1.7871718818484719,1.3429910499790072,1.1883125945837627,2.1919701117123425,1.0945729359947436,0.9508514588046437,1.6707303921781942,1.577196989694056,1.200040646693635,0.835702761036008,0.788010863546002,0.7618229695252661,0.7805027601460588,0.762475085936335,0.7141919387972777,0.7758539245052646,0.604537496271272,0.6916024204597727,0.6510405784374459,0.901751998403091,1.0908687759265612,0.8075228943017883,0.9878094559931799,0.6333942963623749,0.9276407027576259,0.6387051081133812,0.606507274311196,0.6748932018568213,0.766598444373128,0.681276720281792,0.7237860320030901,0.9993040210058686,0.9006346875205107,0.8397792229360302,0.71122804160538,0.645734975161727,0.6965693847198032,0.657333065152615,0.6686574991415825,0.5885806003294505,0.782730073985922,0.6634874493443313,0.5598894697487072,0.5441640753480237,0.6261919789346675,0.6808550370587796,0.5800381324490765,0.5749609574872069,0.7834703421816924,0.6460507423120623,0.7975011584999223,0.6793187856841953,0.8112991411169501,1.0186942704940525,0.9061163332992977,0.9915259517879983,1.019830825527237,0.9606344784222162,0.9072141898687456,0.8077936922230172,0.7453568301463533,0.6592154942937216,0.6617005469570718,0.5455556373904185,0.5574512275088233,0.5822144354907868,0.6215913356159908,0.7316437352546978,0.5603553900565201,0.5834956449082707,0.5317764256658382,0.5530608773542024,0.48755459558250974,0.5128078984040974,0.6620743203765959,0.7374496875316743,0.7826770990966178,0.943471279508931,0.9665361191295915,1.077356554912542,1.1346698362217973,1.0330620143155713,0.9739143533938075,0.930407428064939,0.8369217976992176,0.9523662630529643,0.8019474180703974,0.7217998242457937,0.6887146021232305,0.8148648139026622,1.019878744480086,0.7022696423769074,0.6456177501096217,0.6969309614190431,0.6007777960470013,0.5914492477565718,0.6222475860850681,0.642358490468162,0.6492212999798418,0.7602453738139363,0.7056283796080105,0.8992983353771942,1.2703366881752682,1.195335786087651,0.737784798237009,0.6329399842864744,0.719286133165264,0.621276859618198,0.7227900092182831,0.7285237790277528,0.6779881180557586,0.7082244345816445,0.7629328600919395,0.8035504695675527,0.9953921707392389,0.9444258049507878,1.1272024942388275,1.1111248912771343,1.0105347292907383,0.9031204882410939,0.8005869848783878,0.8189692290135604,0.8069331216615845,0.7554063904703004,0.7940134541037004,0.7128282564306556,0.861318228016641,0.7940385792423964,0.8727815238661919,0.8492853067029128,0.8704501792853271,0.9909141735722499,1.056721791305579,0.9423900926565099,0.8921118386667162,0.8714247400793994,1.1178345482042957,1.8858893412734719,1.2897110764688886,1.2842950109822517,1.1685461108261561,1.1592426222850853,1.1833733954965127,1.1586074990670086,1.2704427238187954,1.2223808322434226,1.260959991956666,1.2547900029192198,1.247612862397332,1.2037777903564546,1.1568326131131632,1.1249172320871708,1.1670170648901181,1.182478324414925,1.139977787524328,1.1563725523971013,1.1969367034099851,1.1823086870381199,1.1761474918347332,1.2189712832793802,1.2662327855177813,1.2563364126995504,1.3324116902622307,1.4312573359716416,1.3861197720000145,1.4439594579412853,1.3409049010579828,1.304096020488293,1.3082623592516047,1.4732090574248833,1.60097109351178,1.5040951758962993,1.4658439833171992,1.6439523320585483,1.354360490806313,1.2671234437450605,1.33127880607046,1.392818363427813,1.2976231184701676,1.457281343293907,1.6721567159868689,1.6613725239241048,1.5368381897203536,1.5346696175865062,1.8453893773949002,1.6092270013224894,1.507771472940243,1.3403736650455444,1.3759006595034662,1.2863621089808432,1.2195644234696825,1.2355569935707735,1.2909015051961663,1.2032699013322534,1.1928406690939086,1.2057362947874546,1.1484391085622059,1.1446944111867492,1.1274181156149596,1.1435974451634527,1.1668332582436516,1.13956422056557,1.1886837940202095,1.225753483289722,1.334924199666585,1.2853941844594619,1.2983907331764122,1.2927564928515798,1.2619412691860477,1.204513074415361,1.286331638650477,1.265531603962258,1.2374347693462422,1.258402984552996,1.2948643124866208,1.293791668049366,1.2538621500246725,1.3378286218565194,1.522145712105064,1.3059046263116993,1.4008056332569203,1.5093337380306648,1.5951758291594471,1.4716732494239575,1.332933435123398,1.463748466319403,1.4269244434883694,1.3935091786671066,1.3126907250022077,1.2588845866466885,1.2600932579211903,1.3111955660009342,1.2000516551939093,1.3112285038002252,1.2202211360375304,1.2483594570532168,1.1099962776547116,1.1566457607777882,0.9874730291055895,0.9653975005886875,1.254420476845045,1.0662959388267343,1.4700464201939423,1.2716058538060966,0.922390798719796,0.843072172311336,0.8042810312758714,0.7436779532327437,1.1686175610743814,1.1460257786335317,1.142921555280358,2.196448477813189,2.6780011523727243],[1.0676439877409054,1.055381238214983,1.2081251835301199,0.8111475674326164,0.8396270384893213,0.7619966520224863,0.6453578219154359,0.6466011527301716,0.6260517746032829,0.500270837092184,0.5021224769988226,0.5729383744730597,0.4914392683595736,0.4735725573672151,0.5091498959346948,0.5229078309430376,0.528807382971873,0.577788159675664,0.7108609996721146,0.7116419871778926,0.8464935109850982,0.8803540566847357,1.1218107603085148,1.1958188801179002,1.152858969280972,0.9032374626197329,0.7518303006951594,0.6278467137613514,0.5794501651862406,0.5392235420644919,0.5664193087945462,0.532737099954898,0.5473928338403651,0.5470705884885514,0.5334018713986588,0.588898878395629,0.5547595918407567,0.6481058363760478,0.6425206316750954,0.7204735555779196,0.8263591366130051,0.8012283011774438,0.8400450345281899,1.040712807171741,1.651216005183682,1.8334308896933909,2.1243394443049533,1.3674219800108298,1.2112847395789283,1.6165802183506763,1.3379609533927888,1.9065364931692022,1.3298197774420566,1.2601694403074928,2.1928956253692298,1.059806636644499,0.9786991599352258,1.6059505551615163,1.5357294939325798,1.2250243140062114,0.9103033004689173,0.8664958334578844,0.8761294065913982,0.8980801627729922,0.885233067257832,0.8078031958586349,0.9364432832683411,0.6747439765931315,0.7963261617926284,0.6988416462909381,0.9341282831737662,1.1313160889383655,0.8620776471508766,1.0350677067929177,0.6947808071800508,1.0596402964299811,0.6745367722571407,0.6270013388744712,0.6418890323157567,0.7459613204406611,0.6241731103112876,0.7040604395979388,0.9429052853055808,0.8057200550585837,0.7859839496488008,0.5981913986737084,0.6309519310487305,0.6444428854925337,0.6286018223623309,0.6013879789636469,0.612158857861945,0.8545421959244466,0.7206187963086486,0.5860008475636402,0.5506387174075179,0.6600014334468994,0.687188740019677,0.5672133585189395,0.5596338823247518,0.8017739959236652,0.5641921486444977,0.7478626826160456,0.57185094059269,0.7007040244926122,0.8746770573530984,0.7849670498895511,0.8995175328118463,0.9112793611966744,0.8841198396416513,0.8428288974596764,0.7423788640491706,0.6655153329103616,0.5925769434438446,0.5943857659155494,0.5039937058865812,0.5433539693063965,0.6301535486798828,0.7090572107738001,0.8718201991873097,0.6198405429917047,0.6425919661023612,0.5493079378883028,0.5708519765526516,0.48843451150136186,0.5120535267460345,0.6024713448747664,0.7250421559965374,0.7063376463648062,0.8329715037605162,0.8481592053266248,0.9495450123108168,1.002978241038104,0.8998149737481659,0.8309220044970718,0.7894605576597288,0.7205601924927456,0.8328797792634524,0.7394612392652828,0.6794925782180471,0.6640647733815186,0.896919362383372,1.1431035848746123,0.8147191878820678,0.7034437926340867,0.7003888576418631,0.5782788933253732,0.5618459395039317,0.5565792459763873,0.5392592704773892,0.5522308198660084,0.7049313412729071,0.6729723848506807,0.8868902876007356,1.3983774634124082,1.340586709620595,0.719147294578859,0.5875236928698888,0.6299101307247058,0.5496263788175174,0.6202028790679218,0.625843359190304,0.5825950234204569,0.627105783743255,0.6935321527548519,0.7398007931692209,0.902899413834015,0.8746729016116956,1.109254673446273,1.0682366058818278,0.9775208395435686,0.8261373872487121,0.7233729692057984,0.7135040711934453,0.691347429555819,0.6298253279775348,0.6660079572210327,0.5955613037389176,0.7132954183305871,0.6600977558509314,0.7314966238376635,0.7361612773674617,0.7236149257060032,0.8257426333640215,0.9069151111280905,0.8389623766715184,0.8616559689175237,0.9528997450017848,1.1759041981789595,1.982945492930701,1.3126417444642344,1.3128204305024822,1.1672970854180047,1.111162139527845,1.103260902596156,1.0336668982036408,1.1385838773081665,1.0857286400660209,1.1320389041946048,1.1640184905894422,1.1825272108662401,1.1720592369650276,1.1602201555392206,1.1138399780444845,1.1818385379967493,1.2417091013764567,1.2221241408141568,1.2345461894755994,1.3174501370700975,1.334593217650861,1.334149781802759,1.4009815971232835,1.4915364361573547,1.4823440628061015,1.5203380782096545,1.686208778194416,1.6019607002110468,1.687190431505701,1.5509748569443467,1.4840809750407764,1.5098949811110318,1.6417364514608022,1.8237187505592725,1.6946400613121495,1.5986173439469518,1.7243354458917983,1.4122302181007242,1.2962274770143092,1.3200471173500459,1.4204689543068219,1.3087449255971915,1.4177976219227972,1.636361905213587,1.6572740238203507,1.481404535399627,1.44557163866305,1.7880680599847552,1.5578953291462057,1.4234718286501546,1.2753097892585616,1.266978659247805,1.2102953886255987,1.2069055146014425,1.2433974127411684,1.3116211691722508,1.223684950664854,1.1934349666563,1.2628083246738968,1.238131281563315,1.1926531849221267,1.2226240064035765,1.2915939145727904,1.3380125568235695,1.305615795055771,1.3775847810991384,1.4453534995745556,1.545657859803316,1.504134435988142,1.5284494597456606,1.5041984190947337,1.4299438511059182,1.3183742614650655,1.38314282668667,1.4337918735680422,1.3676941397684304,1.341473316150808,1.40316453895723,1.4220456640847774,1.3074214697998392,1.3902256920070253,1.6168711789072903,1.3883972289164712,1.4119721706589423,1.5514354436781437,1.6900716228049228,1.5504677694291218,1.4365316519500357,1.5677152789049744,1.5368597556571744,1.6174921577407426,1.4579744574980233,1.3988101862013325,1.3835741040794407,1.3859816288911304,1.2763815754785095,1.3718129345849122,1.220513488776223,1.267899541746534,1.10180336261391,1.090552577121873,0.9325943481831119,1.0626424984855944,1.2631538441379682,1.1572965307636702,1.6177978717590598,1.2429307427855125,1.095376653616368,1.0148819052276277,0.8457261865454903,0.9302580969461985,1.30937539524083,1.3176950090033965,1.2304369948129064,2.133938484972704,2.6388817181982644],[1.0559568992496653,1.0418676994835085,1.1982673336474106,0.7827881285006981,0.7720959564387228,0.7402712292776612,0.628372592341185,0.6335812864272339,0.6438177906327784,0.5122725227125482,0.5277010110890988,0.5968629566963212,0.47514627431636397,0.4866330354614083,0.5336826447632915,0.5043032452179173,0.5213183870961432,0.565488887274331,0.6964236571911278,0.6796750136626446,0.8323144319214865,0.8616864602226856,1.1284990142919484,1.1939693363523596,1.1544304289399034,0.8864347050047096,0.7047294740719751,0.580591261550637,0.5464037237317418,0.5083704965737039,0.5644082675720475,0.499354524100472,0.5181466472105383,0.5398285412604767,0.5095922157828291,0.5567873830251089,0.5336619263091797,0.6303146844925935,0.5794807812626577,0.6720302327507097,0.7851032789341424,0.7537462800000742,0.7873376771711978,0.9828388799453652,1.5933123453434053,1.746501877428279,2.0945259223102086,1.309803605473005,1.1436316625496628,1.5885709624665314,1.310530853348955,1.8388297382690049,1.2834549589932724,1.2450547349594563,2.170717217902563,1.0245576656503745,0.9269266621127764,1.6012561125415257,1.4783344939030243,1.1849232982621476,0.8957778807426646,0.8362762033342901,0.8569035274113852,0.9037034590434864,0.8989099811437485,0.7832824088582538,0.9348184627945509,0.6749352069988466,0.813234207624757,0.718538959587099,0.9519044481019652,1.1905581224582786,0.9069030591193895,1.0674061284338245,0.696288989679356,1.0598899305331047,0.6812946452919728,0.6376444433837744,0.6441175792505148,0.7253605741397264,0.5736294832236756,0.6658007018843082,0.8861974944836822,0.7114664205766158,0.6850364039406676,0.5420427221995181,0.5959296200248498,0.6219800603030583,0.6056456875541165,0.5701557316939434,0.6252112142732221,0.9115272536777096,0.7561197066609702,0.5990762775105831,0.5630106337542153,0.6966081420987416,0.7134681824798301,0.5717278075751864,0.5608471338885418,0.8141308789215623,0.5451221480260738,0.7279356331575662,0.5365173049383963,0.6753286702170843,0.8596489760273068,0.746719480412492,0.8422911246179738,0.8889570414620207,0.8443620703090484,0.7899694014097702,0.6942798873273375,0.6316314526770064,0.5711468503351832,0.5538593137119522,0.47787731293830776,0.512928404082879,0.5821260863321766,0.6656416842113697,0.8734203759069334,0.6054317354255387,0.6513100322610096,0.5606738949369879,0.5612718125802597,0.48284823843282426,0.4973452392874648,0.5476067861559147,0.6656877523173592,0.6552468975238024,0.8018683923406784,0.8074981759855574,0.9092810054290057,0.9624588919262399,0.8466901245713242,0.7819217461532506,0.7416659754578283,0.6591221393878308,0.7820415363689536,0.6798578563547718,0.6252514757289862,0.580637984446898,0.8489159428992568,1.1469168086968413,0.7725722045253769,0.6346284588486509,0.6526564750441477,0.508632737131959,0.49071531495113285,0.5155105106109833,0.5079584436116152,0.5313663368733074,0.6963246801231034,0.6648201243979897,0.8667436021753296,1.4020355159697866,1.3739663837823248,0.7226435358668969,0.593597348872078,0.6048222613743545,0.5185274248601236,0.585004563734224,0.5939219467384595,0.5292482779299171,0.5585106801347074,0.6305668712106508,0.6735060322665319,0.8731491294280681,0.8297009820407778,1.081952613784135,1.0237814201396063,0.9006334797086969,0.7573384851622376,0.6627495557445543,0.6511129621075046,0.6213872837480576,0.5618606110263193,0.6125958585429244,0.5528023734828185,0.663306899440101,0.5880800656118924,0.650613185811263,0.669253696049022,0.6834448320306903,0.7962176488386363,0.8724037799998675,0.7920735950393293,0.7981365067061993,0.9063821165857209,1.1401185064167396,1.8810571616605323,1.2772331591284645,1.2921378926566225,1.0895787454157775,1.0628401712740816,1.0605057668447468,0.9898772400333639,1.1175370143690366,1.078111480698059,1.1277422243050754,1.1432520672795883,1.1508884052930413,1.1574916400938837,1.1256930151712043,1.0749728523522166,1.156267869729956,1.2185260846061188,1.181373355781459,1.1949865113503195,1.297442520598228,1.3129440413049644,1.2986932419662651,1.3814539218089368,1.4797048734801037,1.455334681648922,1.5032291085668927,1.6874474779858288,1.5937282601807279,1.7239645342541934,1.5842360500368864,1.5082078707760087,1.5463221421419793,1.6971717006989324,1.8529291469283957,1.7441799482488205,1.6402914424116317,1.7440232634730535,1.4344886934189165,1.3008554614984094,1.350342812723281,1.46383544928938,1.3243089106069794,1.4336107441640409,1.6810251334235815,1.6806120103005533,1.4951807748198587,1.4748653179900162,1.8342667342584669,1.5991921122491173,1.4287129564772714,1.2716159926135342,1.2702749238911077,1.2067840029344767,1.1949994140319993,1.2157647973885979,1.291415341973885,1.1779070342018927,1.1651179422551656,1.2309504243039342,1.1900127319264944,1.1546094074095519,1.1834393164070713,1.2516763512745042,1.2856395713425446,1.2616382731819245,1.3546331702848529,1.4181950996649395,1.5206353619719812,1.4946775076780239,1.5328244086378222,1.503666442645231,1.431603764063007,1.3033088725372275,1.3865397312564711,1.4498822081249827,1.3648045917519347,1.3398077575630465,1.4381991118544721,1.4501375303799215,1.318646101602298,1.4340226502765168,1.689320349567677,1.4165196105182352,1.4309635015510536,1.6147080180783515,1.7455076770852938,1.5925924247773893,1.4550232593265824,1.644596605284898,1.584408041639385,1.6539089478351148,1.4634017132083197,1.3780379424402416,1.3511633077069722,1.360261841047703,1.2404159800179757,1.3539668486596153,1.1942761180714627,1.2417574072510391,1.056808233200247,1.0557953958363684,0.8900837707663681,0.9932810866716578,1.2257533073982516,1.1028624924693544,1.5788500674277075,1.2149136219509113,1.030149955265161,0.9571624221122262,0.8111953761358464,0.8879412545845679,1.2731650476721952,1.310839855527139,1.2596926152521823,2.1675627490290927,2.712748454687984],[1.0045297430494087,0.9744820212453746,1.0739467888252974,0.767256145292404,0.7666993194807614,0.7326117782512576,0.6367933882550237,0.6412048296377939,0.6903272918988359,0.6150091470241662,0.646499263251574,0.6765933624388684,0.5803862275176154,0.6289873521276438,0.6970645264488633,0.6485778136131775,0.646364306300902,0.6982456327874033,0.8210398118355489,0.8225736954197629,0.9778644071173884,1.0176005429327601,1.2535302430813353,1.317378919938814,1.2800115038685285,1.0171601437936333,0.8445797671187322,0.72644075025488,0.6768860244242341,0.62818436062473,0.7087817079025996,0.616836842400217,0.6287138827663954,0.6847348354633417,0.6444738287760504,0.6918921326569559,0.6567688362798607,0.780916397935897,0.7276279554518817,0.8262172964222104,0.9198239041160664,0.90358918325134,0.9418130948780885,1.1100690497012518,1.7022551910969508,1.8012365617471056,2.195821598425406,1.4396206056196748,1.235303400318623,1.701644750396024,1.4361658300596012,1.8483265691483457,1.3515715381302267,1.4145646448904952,2.263966142176797,1.1664770520833772,1.0892934539416297,1.7733805188837803,1.581557398443942,1.3198200643724756,1.0709510406157587,1.000310992807669,1.0152745210042615,1.0631451755748595,1.0546998367494544,0.9389795300095017,1.0559509632494621,0.8159915520962809,0.9205834913073642,0.8430166356232672,1.03834312843277,1.2823015098736892,1.0001474566343809,1.1676506017412653,0.8386821564747732,1.1845411331746365,0.8270699899461443,0.7950348048789022,0.7898013264896406,0.8808712956256662,0.7139417459254119,0.8366064619123711,0.8805013386503393,0.8189051567495279,0.7870608041910806,0.6602064988960825,0.7551614984814131,0.7417010023317597,0.7513469747297458,0.7005075117417616,0.7811398320510187,1.0484325697589492,0.90977306648032,0.7660105611071578,0.70927835698688,0.8354275030816892,0.8246525163859433,0.6722439400416901,0.6251973522631991,0.810412053742248,0.6030140997233935,0.7157615535744145,0.6049755205104985,0.6448371851801358,0.8225051591762265,0.6847013119365197,0.7532751969946055,0.8271802182599262,0.7369852731072216,0.7276648011338387,0.6396505871605792,0.6241567229378068,0.5937648006296963,0.5972182193475415,0.5824519228858045,0.6263152470162622,0.6975463314248668,0.7710056266653333,0.9765536055147415,0.7251288891577183,0.7489196712278765,0.6773747394552061,0.6711904549722472,0.5908428858804518,0.5916982400122681,0.5860636150339332,0.6585700434235339,0.6437982196889142,0.7310023622384838,0.7628297778947576,0.8178909089640835,0.8471716125047579,0.7963509958491042,0.7282874138366124,0.7243048674351208,0.6652664180055028,0.7511655822989864,0.7225523703861119,0.6976561018574539,0.693451546099303,0.9298425032768715,1.2668517284663974,0.8859598697059438,0.7461757825286037,0.7901174758025458,0.6367834332104995,0.604474384129004,0.6007900948711893,0.5660188363451775,0.5791321557335726,0.6851009603511762,0.669024745438661,0.8300922691154086,1.3852259550557393,1.391503911344515,0.721027720539347,0.6315409437762213,0.6061683853961543,0.578916656120706,0.6053389576297219,0.65931333935813,0.6178763681135429,0.6479309592534737,0.7203409398693168,0.7537170773255571,0.9249172682557808,0.8776327461262293,1.1511146791893252,1.0555137547690103,0.9184006069197715,0.7796256691106114,0.7145733264462867,0.7042208185271517,0.6661333828744669,0.6137456438212586,0.6322355182574414,0.6091324569124325,0.6579874148228909,0.6609653922416617,0.6663786805384793,0.7287441155162228,0.6853229468629887,0.7929539713858018,0.8813572287008358,0.8199212933291518,0.8911680187671931,1.0483590048117508,1.2891410456082177,1.8968794774617757,1.3721749782432677,1.4063332301575495,1.1268439354325577,1.1230148411553478,1.1164876901181393,1.0021505572076743,1.0983091253690849,1.020464159706548,1.0210039189624187,1.0020573870299063,1.0045068572104303,0.9806392300667102,0.948146957907144,0.9158789155874206,0.9744247480186136,1.0176214949636089,1.0121418291180964,1.035752402902137,1.1104352485669688,1.1249540614020779,1.153888765947248,1.2327411441451177,1.3167549960523814,1.3190392529534531,1.4002902057907316,1.5586119579831321,1.4645463748484246,1.5590478133677632,1.4171592372115456,1.3221359459241948,1.3555372186159311,1.5001698365033669,1.6764775955971156,1.5469859949826945,1.4607153793907155,1.592808518601477,1.2363400526562227,1.1074498170370002,1.155968525726012,1.2581903912347516,1.1152638423693642,1.240790059625764,1.5039698204312575,1.464827501662033,1.2897685620540016,1.3677405638727584,1.6995392832418106,1.4624076980546872,1.3052444464241741,1.100246576769742,1.1245039054867627,1.0572563743377037,1.016974243920841,1.0680003567382736,1.0747599687306586,1.0501467852564257,1.005739773894116,1.0452323127584815,1.0030254074600031,0.9825491788198294,0.9893012227475629,1.0589054140808347,1.1277324930746024,1.0938735613785255,1.159775050368846,1.2441780158060036,1.3895953729360893,1.3099277551231703,1.3235291576917771,1.292265133761636,1.202786736466122,1.0868976183391583,1.1790091118548216,1.22834987638906,1.157878283963242,1.1274472368977397,1.2305504320623197,1.2476520820540644,1.1175446146309045,1.2367323763207199,1.5228538250281094,1.2345823542748098,1.2556887669134782,1.4459512616498917,1.600226670294247,1.4374706733262135,1.2820465696996597,1.514183387270751,1.4779143193260127,1.4932444729308743,1.3298023524564415,1.2131185034564789,1.2251795249546342,1.2577269166462752,1.091760902692186,1.1884184771853366,1.0189263698088795,1.0633188203424764,0.9121519234415857,0.9170595019312936,0.7943822474334971,0.899045365092309,1.0528145036197647,0.9382493770170242,1.4855010497616903,1.1048964394505745,0.9211864323015998,0.8589056615041798,0.7838205723992354,0.836866558831943,1.1996878692107908,1.1895746802172684,1.2686336484682983,1.9362068847246607,2.375581230065904],[1.1582374600777259,1.1065470315727681,1.1603313827114639,0.8696317060863913,0.8273334658964745,0.8482646626497509,0.771700275979446,0.7808642009819284,0.8436340586916321,0.7831439847695859,0.8329587473522642,0.8727592141229847,0.7639083810566215,0.8309220493300402,0.8933868278763112,0.8349931782507882,0.847223270292474,0.8987985882611519,0.9973092940601642,0.9875032535100309,1.1425791784998751,1.1564597615807561,1.384206594955788,1.4417069890847012,1.3951739140364605,1.1786273130321203,0.990884720216874,0.8860847626233853,0.8455086102958747,0.7956762834133663,0.9088281728852758,0.7972321567179764,0.8386739864477899,0.889387947354626,0.825413229920632,0.8681531206201556,0.7994416780122887,0.8951102018251698,0.8485563857984932,0.9434770062146669,1.0125889782502446,1.017031406671681,1.0518494762570612,1.1920791500299974,1.7531694573363834,1.8507342724338014,2.271057630755972,1.540446766503533,1.3316808529564887,1.7887410699544235,1.5365365468843826,2.00246611245466,1.4192021991666413,1.4581154070423756,2.202368713277944,1.2106444867268635,1.1907150109274294,1.715074267629064,1.5576148159652312,1.4286884674376894,1.2015130407144992,1.140538550955099,1.1661800574114176,1.248773684785329,1.2397188802735346,1.0989349884855923,1.228621357264607,1.0212275484301163,1.1391074330697402,1.0723620315593072,1.2297176815702133,1.4549705717644137,1.234183723657446,1.3829114315785878,1.0436335108922237,1.338286871727121,1.038248015544042,1.0118176111271449,0.9715762095562953,1.0171504320239493,0.8551953663156582,0.9726724810142899,0.9956440722379452,0.8963382744003773,0.8801124518193639,0.7669867024682768,0.8915800875169186,0.8711372401169746,0.9159142859621812,0.8770983882416291,1.0004406443641405,1.2576476476195062,1.1182966773617096,0.9818444441562115,0.9160836920770168,1.0473637095424584,1.0159420866483264,0.8785506581577378,0.8318950212801836,0.9798083447049253,0.7700053589710093,0.8444973413266478,0.7366862441758217,0.7529735268342703,0.8708056287182393,0.738719940396661,0.7816136482286227,0.8262073070607878,0.7713494039173862,0.7962950656410859,0.704402042891905,0.7077092465842933,0.7194374731044321,0.7103938084153278,0.7564222792441855,0.7886367735268058,0.8549764387002831,0.9132304741390287,1.15150877865331,0.9261596571560088,0.9427897835969712,0.8649688352213316,0.8448991710000244,0.7641779303556118,0.7435338549573626,0.6907889370533032,0.706747135758475,0.6881139266130836,0.7608252174647058,0.7800111338086982,0.811770563851873,0.8249467009139085,0.7944916391566941,0.7414454730596273,0.7409247484917335,0.7171176503784668,0.7700494750645115,0.7745139072293108,0.7633611891157306,0.7732770248043713,1.048560852443944,1.4285217496199007,1.0179304285009791,0.8602791275524274,0.8779618195224013,0.7693943878403388,0.7425510993843475,0.7336321785891562,0.7018254060377199,0.7396896244068744,0.7842418384233811,0.811736375417956,0.9884532400500708,1.533595138219545,1.5459964859954989,0.8533553137232583,0.7807079168777971,0.7366831600338755,0.7165259740855783,0.7195179431843228,0.7621368942416987,0.7413841554485243,0.7570111047417222,0.8384045226370362,0.8196335126404751,0.9530646730076766,0.9202387591851134,1.1946112577903576,1.0871409644678938,0.9611084262821644,0.8229630590024516,0.7803047044349051,0.7764504477001104,0.7379658573649635,0.7054896671725035,0.721018902758936,0.7288311341581936,0.7410827827783701,0.7353819789632322,0.7294427125582805,0.7812637114542824,0.7296600664602492,0.7977664463514232,0.894375068288215,0.8572440470046799,0.9514936561011667,1.14139257352612,1.3648878275848606,1.9259916525030665,1.4249184542468163,1.4564045128674248,1.186153655608213,1.1603027996720623,1.1282992442947508,0.9886572264964377,1.0657414474365359,0.9834762346037881,0.9807667212151447,0.9670838892461626,1.0003611341764185,0.9622243273274217,0.9573927035401385,0.9317034670194355,0.9740113108531755,1.0264750060013432,1.0345686725793108,1.042054110229543,1.1223040308889791,1.1495283169119785,1.182768544215129,1.254403285201903,1.3519781627749976,1.375452351438501,1.4373213773917184,1.5924712042281182,1.4920024764448205,1.591641542000616,1.4413826068027709,1.3320778231925243,1.3658526350322866,1.5015522276634523,1.7385614911820795,1.557212614500582,1.5048474577095496,1.559067302770162,1.2104082642158343,1.1024310279219258,1.1405877661996708,1.2751720499444679,1.106191933459659,1.2034429190331828,1.4540949615078393,1.4321089979835488,1.2467673338570835,1.3353373155571138,1.637580127575351,1.4061733508202998,1.2930788434626983,1.069119963456621,1.0952166788709377,1.0187342167845876,1.0026901980927065,1.0643802904793445,1.0922891891804174,1.0504211817028337,1.0102285039099066,1.0331409419814732,1.0346630498436837,1.0225516306829583,1.0134498920263095,1.102465087225146,1.1766351292655801,1.1374563523760266,1.2058579759361923,1.312328525245112,1.4374020995203933,1.365713692794858,1.376095097721058,1.3204605476015328,1.2302381395857005,1.094772031742255,1.175480019662959,1.2508250930016045,1.1694288614201531,1.1208815590958525,1.2254411875540139,1.253804037185619,1.1066112224853917,1.2185882819058291,1.51362831287801,1.2305224293030845,1.2486072306909142,1.432514774257547,1.6040421713514703,1.4386189869269177,1.2851069025961217,1.5420665906056852,1.4835793280214018,1.5230558144692043,1.3408470183107093,1.2329356469358592,1.237885745820721,1.2488708143330514,1.0867819640938545,1.2088998952451084,1.0341847149494756,1.076594520217487,0.9362640585821652,0.9159936750098691,0.8150144371096016,0.9283116441262398,1.0847235250599276,0.9850703509823563,1.5910837136349703,1.1100770141377263,0.9872819572358665,0.9720059957503194,0.8905231928761498,0.9496079663058602,1.2287986360595735,1.308427109221391,1.4479586416264014,1.926559499912476,2.35788761133942],[1.127062082840602,1.057436527963573,1.0648371160981145,0.8402403357022477,0.8362379090873693,0.8220180847066252,0.7719426417812966,0.7669901627700269,0.8810407323870924,0.871721264545371,0.9238059947073225,0.9242421210814118,0.8960234003178466,0.9560114070323527,1.05711445575251,0.9797027871956598,1.0046030807166526,1.0719830920885614,1.2158267405674203,1.221051045307578,1.3715788699567621,1.4281886193068767,1.6125045094931634,1.6972741397100135,1.606809638642109,1.407726733001525,1.2105664387156,1.0824873943023248,1.0180627506296827,0.9445523557667338,1.0862502451764946,0.9333057809180352,0.9734999984339198,1.056643844461818,1.0171807068882293,1.0850477476996854,0.9508857158208794,1.1040871476119358,1.094865612668714,1.2404312798884727,1.2771308255246463,1.2744124598307052,1.323600795690037,1.4725654778925177,1.9868174034242447,2.041811206143028,2.4819323963591837,1.8285916061680068,1.599964286942222,2.064843478824674,1.8647131386198885,2.2149755905088564,1.7176772609632063,1.7566955825181496,2.377921565676794,1.546987410558661,1.5166234779717644,1.9474915977332206,1.7534328532663837,1.7711124227191577,1.5371216653066107,1.4211379711190693,1.414718679833782,1.5165820148872111,1.5340241990523753,1.3716529868957479,1.4489076579417177,1.232103083557205,1.2844135926327918,1.2403104571104588,1.3600057775006822,1.6349467341489154,1.3963984395132398,1.545567768882583,1.246428123938229,1.5983787838204027,1.304296314291623,1.2783278921628318,1.2275482697892017,1.2858353156709623,1.1029486237642794,1.2506489683843518,1.1908362920239997,1.1332423297330338,1.0903744962746476,1.0102314299862925,1.1379158427880425,1.0589365835588225,1.1491955975302963,1.0963421723758018,1.200891558014647,1.4687379130657294,1.3189874101976051,1.1608336811553712,1.0723203103120855,1.1946099992054373,1.1502776601686622,1.0095501565371396,0.9073085204882843,0.970334102316951,0.8348015567257777,0.83967297149058,0.834276527148659,0.8010901169158349,0.933337270253308,0.7848349730051137,0.8221247852128793,0.8633598173182948,0.7536390738043756,0.8475968743027833,0.7212879800866981,0.7499703235312185,0.7373722046320913,0.7882147598189513,0.8897044340191409,0.9245115469632963,0.9995400913230185,1.098015012375079,1.3212613597935456,1.1035733977799596,1.101356890604286,1.0199169565761508,0.9828913600277873,0.8856689841821422,0.8239261101667024,0.7631948210794648,0.7324767796624645,0.7498992202462708,0.7867235692359463,0.8595786961858843,0.8541056285559966,0.867844958691058,0.9287347015959627,0.864889681330658,0.8888914167056381,0.8537429972987145,0.885856305095015,0.896574401131512,0.885912907804915,0.9680558863625622,1.2643832125023837,1.7208691062309294,1.2652701024362374,1.070846588754541,1.1133490253806186,0.9775928120468294,0.9365478366512274,0.8629003408498704,0.7991877023445177,0.7748030044952977,0.7726547025994726,0.7861802071263537,0.939983442373799,1.5055041172392845,1.522986421620938,0.8342270025128252,0.8077953407493321,0.7468171272669135,0.8160294216004976,0.8062818067017319,0.8928789910553877,0.9226168016393275,0.9657991592542088,1.05068231748747,1.086595953656753,1.175305738813441,1.1767962951023754,1.4519493230649863,1.2908511464044838,1.1560998476442774,1.0253146462442695,0.9825331906566265,0.9926343718990794,0.9409754022146336,0.9069779834897547,0.8728888524758882,0.8689614681636351,0.8733824654605881,0.9399348976307232,0.9194855210750601,0.9975685031711807,0.8828533387558711,0.9774072028426135,1.0838935962856098,1.077998124831386,1.232149865720983,1.4356874027425544,1.699709018035473,2.130658109246163,1.7483384061999474,1.7748934018212632,1.467589277186536,1.4266387182472118,1.3559423566521305,1.1975684901725137,1.221740289633507,1.0646089006425328,1.0150463656216122,0.9331991796761584,0.9463431706489902,0.8609586369031467,0.8441923374211425,0.8239215852508398,0.8652930961023552,0.910098079055742,0.9189035936859569,0.9422553322535779,1.025538611527789,1.042785821594749,1.0942890023091578,1.1721960394230002,1.2730377994118909,1.2929556043279402,1.3673228868369118,1.5516604953900808,1.455844679554765,1.5599415908300642,1.3953487117945762,1.2616988859260487,1.303699476064988,1.4280348145467086,1.6960346475192947,1.5067216389558735,1.4357029673138078,1.4859157820040214,1.0971641592677077,0.9914100767976204,1.0324981524147017,1.1859527892498498,0.9895422283486438,1.1119694230921828,1.3702547856580423,1.3251924858142539,1.1583383466393113,1.304351678557116,1.6076113444837574,1.3550623924012235,1.2344222825259703,0.9941525248765459,1.0574171092648226,0.9653198982303074,0.9108050812739701,0.9917642826771228,0.9794936453947962,0.9711755071600545,0.9035667291554917,0.9371804580962024,0.9088696067802026,0.9070743320323164,0.8943813070253434,0.9756947110850639,1.0610491669181772,1.0277268344597206,1.096889415204318,1.2132890699558456,1.37026728505117,1.279464708964145,1.286400943137622,1.2281177423129532,1.1189397236726417,0.9788619295421145,1.065274177438867,1.1488438655151796,1.066398617659806,0.9979676635159027,1.1301517750182002,1.1660277561902215,1.0086543267669013,1.1373720927744648,1.447606035590207,1.153187974230707,1.1669450703061208,1.3749844368070048,1.5497123104571207,1.3680514030670368,1.204800636023998,1.5262810899341777,1.4634401952903002,1.482500750381083,1.2970486232125007,1.1566112177585797,1.1655660890229977,1.2004308171607663,1.00875365625894,1.116602754251228,0.9445858934892899,0.9709993271318943,0.8474591077461513,0.8538487610672838,0.7746480777969943,0.8594500040845178,0.9333959158080821,0.8613853278524658,1.5068849694158626,1.0046361450458081,0.9078203723593358,0.8995723827426734,0.8457153272526365,0.9124526766355475,1.2078626133976205,1.2516620274333032,1.500205246914011,1.8737072744738767,2.2832774060083043],[1.2120614767141697,1.1581883050411483,1.1817374064312989,0.9652438358141913,0.9146066746603866,0.9757246693457553,0.9299573116770392,0.932773803642452,1.0327966006359832,0.9972837021965323,1.0443814006832697,1.0626063398593977,1.0016430819724245,1.0606599461254056,1.1383250945971497,1.0750311735525697,1.0845064658031347,1.1320688740160447,1.2304650247693913,1.228905855405144,1.383423974963429,1.4181016077780841,1.6010252239868619,1.6687272731753957,1.5992624644980769,1.4228357032527374,1.2288365860969608,1.1190364713398404,1.0776447529193067,1.0211426591667623,1.148534639548584,1.035616982786268,1.0812434744897008,1.1282107018020848,1.0717476468011122,1.110212034344922,1.0202796560810177,1.128659835744104,1.0893023546420904,1.19243937996977,1.251523320168608,1.2501372062005227,1.2675594842737166,1.3694105002155144,1.8701765928289,1.955677062664934,2.389126199523725,1.702662808046325,1.5074643456997596,1.9619743199739619,1.7086057137206099,2.2158932845034616,1.5879433742516373,1.6181364756391072,2.2463304424032375,1.4058843520918736,1.401251461058861,1.79625514382808,1.6817268404598216,1.6284293139414296,1.471499688957147,1.4017576310456352,1.4136482485784272,1.5057689499721811,1.5215149601853792,1.361507393349769,1.454171606710193,1.2590675912823954,1.3523024317672003,1.28509810564042,1.4213962975878367,1.645254233859681,1.4394441443763122,1.5651139613941687,1.2879053345436546,1.5870215473753908,1.2953393327818135,1.273280731781332,1.207338562230836,1.2361600115383757,1.1089612896323116,1.2285058082125402,1.1896431395047635,1.0936230516570187,1.11226618916885,1.0173553272196112,1.1470070414632507,1.0940798662395066,1.150957681163704,1.1180834624738876,1.2405304261591172,1.4926212710340943,1.3536313639376956,1.2234877224757676,1.1522565342549151,1.2768376156954586,1.2353645693903221,1.104084698548527,1.0412297830839359,1.1370038540406069,0.9771267412378596,0.9758591487712569,0.9494701026633049,0.9111712509285379,0.9936616935459286,0.8775839454077842,0.8873322272710576,0.8887514544856865,0.8169195716662374,0.9378468172211801,0.8322323848793167,0.8472556512097527,0.8731180113544955,0.8810036753113233,0.9728045039681262,0.9866756206918531,1.060516086491833,1.1154607078996672,1.3609389202229818,1.1515144608205943,1.1467422799525413,1.0793299306378596,1.0357967460319628,0.9691923053282583,0.9316844058916153,0.8563155645604094,0.8357968746017963,0.8139334442172352,0.818671270061829,0.84183773434533,0.8107595611520231,0.8029060754736828,0.818459096488828,0.8045581475809259,0.8096831683266719,0.8269330856497549,0.8286246997678999,0.8758639445842981,0.8725521938831583,0.9497938197967128,1.238214509573876,1.6702047080172442,1.2420931659077261,1.0683626773620785,1.0865410413423626,0.9979537534503875,0.9606254100635723,0.940595772455616,0.8996167721720074,0.924988517946053,0.9182226543098128,0.9633455884161978,1.1311373942221605,1.6677228719342696,1.6737060871871339,1.0106055965818677,0.9639810505578676,0.8986144537549904,0.927182394466514,0.9140204157990465,0.9524426597728756,0.9589158261748332,0.9544471045379758,1.0401263821643516,0.9976469459042884,1.0665878042440944,1.0310185362390865,1.2815917807216697,1.1460977014805036,1.0450263892365173,0.9185590595908018,0.922915733156722,0.9416125836931526,0.9240791344330448,0.9082411616557357,0.905123484653299,0.9446128797764549,0.9315806674040243,0.9446543317857151,0.9023543826583069,0.9557703689314435,0.8794902496184416,0.9063509855005595,0.9748119242489307,0.9687617011104278,1.1502592297103837,1.3753677178449641,1.5973853965647709,2.0793121130466106,1.5983743826465364,1.6011468177997816,1.3525548830597325,1.2716324206781278,1.1849585916208996,1.0108737240845314,1.0485383890774185,0.9416579899021851,0.9359528325246965,0.8993939840961789,0.9689166789015045,0.8989665212220717,0.9190111460674434,0.9075025898937893,0.9115193020805851,0.9629531600500325,1.0056192844382514,1.003724522776929,1.0658630670886728,1.1066899348721233,1.1613778719855712,1.2129371843741883,1.3034273167758406,1.351442514464861,1.3932625974838562,1.5406106607718342,1.4254373380413152,1.5378857001537396,1.3499417693858151,1.2533124406122784,1.2792129431556558,1.366438034204553,1.6863757331673408,1.4152837607816664,1.4627793022923172,1.4503280028624406,1.0851281678855327,1.0283787865758343,1.0311356389061266,1.1416737741175251,0.9880989280378438,1.1003733551268065,1.3127895185904974,1.2893690132296187,1.1271169087190493,1.2486772804034796,1.4939394574165956,1.278483676397374,1.2298193684951322,0.9808921349640433,1.0391822280516148,0.9539319259388752,0.9511733560283357,1.0539972300580671,1.0402495822786029,1.0344905613472837,0.9869517119081762,1.0035175344975549,1.0170148900230793,1.0041365051800766,0.9749729105525006,1.0704147083797821,1.1603696242633608,1.113474697408062,1.1699747555287845,1.296409216729066,1.4197630572602398,1.331599101250926,1.327056202968684,1.26327474930538,1.1682380075065752,1.0334651025671102,1.0920787672327292,1.1688297914429397,1.10019727683642,1.0238387658177657,1.1124441788277666,1.1548862731528642,1.0133466908023154,1.0910161630761561,1.3913768730685134,1.129951375454579,1.136812500154628,1.2789571693817592,1.4811973469801019,1.3223310755648576,1.1726905090170907,1.4297584672980286,1.4072776925689854,1.4513739405122812,1.2662135024400802,1.164249193071408,1.1920412698245222,1.1912266517348888,1.0285823565601901,1.1276128528779015,0.9806578839850397,1.0024434010723082,0.8980331580363508,0.8830492235157414,0.8424235716919256,0.9455651829197756,1.0558573218652108,0.994260684334218,1.7102566311329424,1.1106967327930342,1.01323934321264,1.0775494178004665,1.032128356374888,1.0457251443320135,1.2554548306089734,1.3684859906038336,1.7106484085167977,1.9670267705891757,2.3077717343836297],[1.0017707148397161,0.9723304627633369,1.0326757719601305,0.7784053377331909,0.7883953517855601,0.7607347256298408,0.6933256862537115,0.6855607985630219,0.7479857482104056,0.705364994508238,0.7451937089009323,0.7739062666888875,0.7144663169799123,0.757990494632572,0.8221698311086995,0.7783881897136481,0.8123097747173557,0.8686423571445515,0.9797398363586236,0.9930232931282839,1.1491766978019808,1.1683182438351345,1.3970066950395026,1.45703447045906,1.4292072420503517,1.205048198122627,1.0180528022523359,0.888918121778087,0.8320429336707235,0.7709582789291332,0.855049444644441,0.7484764131125938,0.7713605094045555,0.8378180664025228,0.7972108862368106,0.8523222759047183,0.7885889488111412,0.9104600006444831,0.8846140646184991,0.9940943612552178,1.063789213311715,1.0498436312105426,1.0843793679363751,1.2234072206979807,1.774139378185843,1.886944329124321,2.2897104400436925,1.5605458238716052,1.3750741728677975,1.8092991410451782,1.5571340747735092,2.0659471965348564,1.4580449935360713,1.478763593294154,2.2106054934325083,1.239766125896146,1.2237203886620425,1.7091578232563265,1.57255395617178,1.4534020284833808,1.2149369146918685,1.1541810426731716,1.1734083714550316,1.2333539571371792,1.2308967976347254,1.11964290884097,1.21911841043691,0.9954552299680567,1.0955773603050984,1.0006211650408223,1.1651065705034889,1.3748530609521428,1.1522124988079125,1.32286840909094,0.9882542325863629,1.3191305957492503,1.0103301106982743,0.9805751825767763,0.9558395087367538,1.0202966087065037,0.87175897040217,1.0115615247040108,1.0198506537879901,0.946004030592195,0.9405097290188139,0.8073798772522954,0.9139173311787754,0.8774997044519138,0.9115247089904581,0.8506531005327722,0.954302445771998,1.2052927520284513,1.059640865811596,0.9108594004585867,0.8361694127824283,0.952157209250978,0.9191554912115789,0.8020415797922371,0.7438235306757326,0.8800510989027204,0.7045771390562648,0.774398908750842,0.7133773368248028,0.7270744303763531,0.8835753505082077,0.7315115355687639,0.7735986499419585,0.8242071351849447,0.73859756954669,0.7877991102872366,0.6623095223510042,0.6916217127201588,0.6708923642998804,0.6996663091187539,0.7373387385481203,0.7841511996250483,0.8485628090566039,0.9196398931855705,1.1311057794691501,0.9064008083168663,0.9129121489863037,0.8258692981938542,0.8237297460495162,0.7385075290115314,0.7021602362155872,0.682309261195916,0.6659840072948356,0.6781758301119564,0.7368775517860218,0.773141079897927,0.7833367868111324,0.7887851177930623,0.7893157703145705,0.7507019987675899,0.7543664072657839,0.7378097796924888,0.7799188089364311,0.8046557218453112,0.7815007839659384,0.8110091776314285,1.090915858895283,1.4455355159318004,1.0512124422036573,0.8958943740650644,0.9102558051895452,0.7944670729958822,0.766000981861104,0.7337077957389613,0.690477286614619,0.6805251072805172,0.7116610998546753,0.7068447375674163,0.8901125872604976,1.44376553296381,1.4760720756199384,0.7597251217137072,0.7054150266745299,0.665642766900893,0.6811718087564018,0.7073784212316434,0.7858589442844444,0.7699546164839669,0.7990585204060908,0.8850513884953133,0.8721765481855184,0.9942155534534619,0.9592377719574756,1.2193611006115095,1.1083099368699008,1.0004528399149093,0.8613957514418308,0.8309627508767328,0.8294652777490675,0.7847446469269876,0.7437606534367545,0.7444149534569358,0.7400815676977781,0.7550037842712071,0.7666459828915533,0.7554755250678139,0.8206156533986554,0.7629308842810998,0.8249908038592348,0.8978606890673155,0.8816249267281734,0.9949661384128693,1.1959211312817248,1.3866149421099523,1.9585671181757953,1.4334678557604505,1.4703353665586063,1.2337280034779239,1.2083415287937396,1.1618332287981634,1.003996720551326,1.0495169605376249,0.9417584805982125,0.9327853852766049,0.89664106151158,0.9377981501223506,0.8671102562408682,0.8583641166797072,0.841608643735471,0.8625620228584147,0.8984767876432953,0.919662853637174,0.934709272238253,0.9891626161942296,1.0117352012133012,1.060792135113618,1.1216603827312022,1.201597342955331,1.228519520189259,1.2926730381788687,1.4525296736752018,1.3720129318440681,1.4406694809069944,1.2937145927543388,1.180121337700203,1.2027178136830645,1.3188279135488523,1.6069431098233316,1.372897155669629,1.391600654671259,1.4222413024077745,1.058066975053724,1.0029584271292613,1.0192850514567555,1.1420177641363258,0.9815350766118657,1.0950487676841565,1.3268018553475065,1.301212545454625,1.1359076354687658,1.2548314965325917,1.5176310175710215,1.2984561299398558,1.2377245324274397,0.9804352192131095,1.0257205617669227,0.9414166951103659,0.9105903233248921,1.0025055441425834,0.99067673103701,0.9838964960648634,0.9343287821888551,0.9298851225146966,0.9362153747637902,0.9290832763652134,0.8943036549947241,0.9703197922182624,1.0574319313082168,1.001108115097957,1.0530188266260971,1.1620738154734935,1.309264399337071,1.2092523299054707,1.2072905853501559,1.1628975393393046,1.075681639092862,0.9545663744344596,1.0278766652829778,1.0866271537655543,1.0235258097448992,0.9793178745831034,1.0592664651201693,1.094492165381917,0.9746289051618533,1.0677136219218404,1.3495121283199096,1.0971817412633236,1.1341000163622412,1.2719146555682745,1.4730263450896888,1.3119088439263726,1.153685970493032,1.4102415231308463,1.3915162749043295,1.391054942640613,1.2266876874754506,1.1114189220079234,1.1213193933743235,1.1526803451047414,0.9817980691208593,1.101212835233678,0.9449003723222847,0.9735105992484555,0.8524309321348938,0.8443036264716174,0.7622562952405839,0.8689976720857647,0.9837708930179115,0.8788768685606937,1.567586867661767,1.0280111812247217,0.8846548210902143,0.870648390084932,0.8027711917955588,0.8561978782275869,1.13133424784604,1.1617748308486735,1.4623641214319827,1.785603261861553,2.182046232461171],[0.9268132143294503,0.9065251239675808,0.9146739532700122,0.7057283699496182,0.7534690678678939,0.6558141911155616,0.5822336168325609,0.5596989560980556,0.6197045044715912,0.6021238016251743,0.6390785166094028,0.6507967071739612,0.6331685302565546,0.6622489388416193,0.7799738291049487,0.7276170127245668,0.7778356997805167,0.849902433833124,1.0042212429763564,1.0478814367800702,1.2228512767220363,1.2887583524067359,1.4883630449821894,1.5681511440342746,1.5132124662233446,1.262857409214441,1.0560722591614187,0.8985624995856695,0.821340588303972,0.7457153848151474,0.8472223880578774,0.7009686689959609,0.7446020843182664,0.8313503558326777,0.8074741441577648,0.8820092700526978,0.7719645627035117,0.9432644971178621,0.9315708795394164,1.0926986942888266,1.1301062246955806,1.107424158081046,1.1579085769098643,1.3028400751736446,1.861836158234313,1.9271837807510996,2.3985179211465595,1.6882970610653902,1.4458395509003603,1.9595507033977382,1.7385228868016014,2.1107349334951677,1.6036435979275052,1.6784478075114475,2.3308048205663043,1.4067219713734946,1.3669453999686285,1.8758922737324237,1.6452635169102954,1.5956137640954169,1.3673400014195525,1.2747372568836897,1.2801470834256867,1.381996085034846,1.3627585762928673,1.214749144285426,1.299174993152821,1.0264384396360635,1.0717602307494192,0.9908083894595572,1.110268081434096,1.4019138887154723,1.1307787057350907,1.3213020186821094,1.0090897863737183,1.391295293370552,1.0771995689821898,1.0477119806345425,1.0455509939708685,1.1483003338075821,0.9389248969576164,1.1026255625781813,1.0504344511352053,1.0128976479578977,0.9679562966769493,0.8411108837042675,0.9687751833897114,0.9098927370096244,0.9742200453884277,0.9023027374639265,0.9785100182275241,1.2434779436831505,1.0861706348853373,0.8990210417855964,0.7967170746417231,0.9075762818621895,0.8764128544305828,0.7406743967605783,0.6537245916599156,0.7550300674952444,0.6085557605739659,0.6614714971540998,0.6732012477562798,0.6627561536859161,0.8434337092213305,0.6566357553636414,0.6961465069838861,0.8135554396999567,0.6683513828593904,0.7226013727171345,0.5915071924147838,0.6268986352462331,0.5675921227488352,0.6165701928768699,0.6583195061734219,0.7121897679793141,0.7999858987681646,0.9136064677554354,1.1329572435749007,0.875969911295754,0.8666955687762046,0.7552917582123821,0.7454496443575808,0.6529397244508643,0.6131032779550729,0.5985943340081459,0.5776614224698191,0.6187290056478668,0.6882356646068442,0.7551829842815077,0.7642804480887843,0.7748976000424971,0.8311641240401954,0.761199296954447,0.7807442296576699,0.7144558165826174,0.7529017658752107,0.7691055627721518,0.7467183764795677,0.8050289711466284,1.079997670420789,1.528247885894774,1.10153123794917,0.9116956672872847,0.973879335667254,0.8070159051776401,0.7509463174864135,0.6834143012536439,0.6237524330075456,0.5697223670968115,0.5958141279381445,0.5818125925950546,0.7533056915931858,1.3386570588561162,1.40407983500152,0.6471192788396769,0.6046816633710403,0.5432397094687634,0.6265860429517682,0.6807502785719753,0.7855621214668632,0.7572800725766587,0.8139209352267122,0.9223619502256425,0.957438763840543,1.0536016420043277,1.0276065389597109,1.3069661352492876,1.1741370569877225,1.0163946144833815,0.8958433234174992,0.8468878492736077,0.8529211874183126,0.8116898309542239,0.7686125091153907,0.7277062952758103,0.6920344391760693,0.7227334837364426,0.7980440676441284,0.7933459599652612,0.8723358766126211,0.7768620829624737,0.8865181891354659,0.9927377917439874,0.968177326734284,1.1353825051289512,1.313219426449891,1.6192836670296864,2.031823514805213,1.6736350889813012,1.6946572802517081,1.38458220260215,1.3063710596413152,1.225669463386457,1.0786156525564308,1.1611998671805002,1.007847391198399,0.9515441307885206,0.8711587300759972,0.8648083346567402,0.7791714812039683,0.7518933154818527,0.725412146389231,0.7687914514276535,0.7941595957619433,0.7942583380657389,0.8325846992817022,0.8898416435205346,0.9017720220427184,0.9646057730821063,1.0443687475581813,1.1134286452478814,1.1189788744907314,1.2146512471231588,1.395249524970423,1.3321653580871478,1.3714066063758992,1.2540240495266828,1.1163561471369146,1.144347422333812,1.271810916493804,1.4957226988777543,1.3245784077655653,1.281519007175325,1.3980104261892317,1.010215140460068,0.9462864980704873,0.968978411421608,1.1051034153388235,0.9382567040856258,1.042225784485469,1.2992165665595539,1.2260086233936138,1.0943223867833585,1.3177085578987504,1.5398571393506202,1.3115633812162852,1.226304095732524,0.9365558512637188,1.0127327503183876,0.9180027002465247,0.8441583241813375,0.9664863773704679,0.895473557450416,0.980294377900727,0.886284529710918,0.8868093532891449,0.8488070929499544,0.8565660012800387,0.7836564099978768,0.8430677636373883,0.9365460432689239,0.8782888204116774,0.9311126184287807,1.0242840387723466,1.218595201363854,1.0944222265754067,1.0908804470724496,1.0565931471306829,0.9574249583135894,0.8432300195631544,0.9450337564219728,0.9918825362402474,0.9297598390149553,0.8905611870834224,0.9900292895069249,1.0259131837968238,0.911650484653384,1.0292434196157443,1.3119977463852248,1.0419185863299545,1.093361889605209,1.252390170484179,1.427296682275793,1.272946996070896,1.1121647457661419,1.4421244352816331,1.4111677395432234,1.3429272800993335,1.211235008686401,1.0650022847537948,1.065404410045737,1.1555807208957234,0.9525236167678366,1.0428718122735965,0.842087983926455,0.8751347386594549,0.7552614925721578,0.7719721435911607,0.685975930052321,0.8217228329463803,0.8297034733060594,0.7372343768824317,1.4270237863836805,0.9359996243772706,0.7934313434501036,0.7434695441312414,0.6987638982438631,0.7859225450019864,1.0905059640426549,1.0209427853708644,1.5144908712145355,1.7803547679936425,2.170422371667865],[0.9827678232322178,0.9309447750397147,0.9224305644571672,0.7430573358588053,0.7839203672657357,0.7842729660358126,0.7684836029854478,0.7619223981679835,0.8452697591710308,0.8713119834608845,0.9328655040893306,0.9272332204507135,0.9282856656851671,0.9704145264853273,1.081284802532627,1.0362091538145826,1.0620420346369526,1.155162662374651,1.2844277730880966,1.3259601832983752,1.4887681020080066,1.5444398229446197,1.7456690320490098,1.7902512344711017,1.7223905069825904,1.5240119611061016,1.3236750035064526,1.1819806577031404,1.1196690346298728,1.0418001613326613,1.1586492995448092,1.0209200362347048,1.0821836421330109,1.1625553448186947,1.1129477378038906,1.1704188673186953,1.0667419589580855,1.2103735302299374,1.1963800764166361,1.322525632294917,1.347866491455429,1.3539406545937689,1.3818227040852662,1.4870982862491586,1.983959091152543,2.0284584841182314,2.495384622325137,1.831047910651705,1.6005675062024274,2.08763757197234,1.8645855587364575,2.2924647123923743,1.7311381815428826,1.8154347244351092,2.3735161705400056,1.5609296355468985,1.5500877014945087,1.9315756120382228,1.7655516576522026,1.7845328360360524,1.604649006136578,1.534920630038176,1.5403892445762541,1.6437044484747028,1.6208364260490082,1.4928617430917126,1.5724529720389322,1.3233148825193193,1.3641483628071152,1.2850284986120404,1.3766472648410788,1.6285427384044775,1.4133432753223312,1.5701683034234601,1.3137413396427697,1.6721589987161647,1.3744333438332386,1.3505844471329858,1.3341631708216013,1.4017029462028319,1.2143377145530552,1.3329761907138864,1.297443768010347,1.203315236230552,1.1917287035703223,1.0980833915666393,1.2451821520910522,1.1987457345510715,1.26104656415567,1.209504949516437,1.2874199728213234,1.5203560350893508,1.3784758880223367,1.2270207702617293,1.123389236981557,1.2412573789563304,1.1933184422114165,1.0616869961345363,0.9683112883274922,1.0146475443339698,0.9134325248970323,0.900931402713749,0.9473103503038683,0.8669099038382391,0.9856657801076459,0.8002682455652901,0.7978941246909463,0.9140076815795172,0.7298337655620056,0.8158869484371225,0.6923188890722073,0.7890688627542349,0.7729815408936301,0.8352070014182893,0.9322379409016444,0.9688250902349801,1.0767429903723258,1.1769029964322901,1.4045409307708483,1.1818178209123138,1.1658750886892253,1.0629545264036873,1.0196850033242422,0.9234406309575194,0.8538018626244642,0.7796543904759602,0.6759609439720562,0.729854810701592,0.7465599419070488,0.8322024622938642,0.774574175696161,0.7770551164034954,0.8708513193162797,0.8454507200328214,0.8650627401559094,0.829476300142499,0.8140211326198931,0.8714047323988104,0.8938808762509889,1.0015975190704105,1.26679515164794,1.7219347144470816,1.3370693752935767,1.1585603519583811,1.2156402639599555,1.0854981644075832,1.0074556378741202,0.9582739361789052,0.8681850487920505,0.8142790892972679,0.7916159940783036,0.7884642747899,0.9094782530179928,1.4886126174495722,1.6241190639959304,0.9111120836172201,0.8777513081942622,0.7941005725547599,0.89833346262882,0.8880840401940405,0.9969805732017193,1.0120269957729202,1.0362259498059037,1.1477447403948322,1.1340357954683022,1.1845870436150465,1.1366555248454717,1.3852316551981307,1.2425450999781933,1.1069234152335212,0.9951955023088693,0.9857354434130438,1.0196537103437913,1.0044567626953311,0.9864293710294894,0.9429976508104605,0.9579499482855506,0.9737588314676774,1.0323182571642777,0.9886428793289719,1.0734594942286702,0.938508765314332,1.00203319555512,1.1006169031648145,1.0967068126598352,1.305249106325659,1.4947523584362437,1.7934836570820154,2.138820464104781,1.8064816452681038,1.8138362508670358,1.4880309967353356,1.396444183014988,1.2802118202826827,1.0974207792782962,1.1186928568047507,0.9656226000445506,0.8968559268430953,0.7930727880305372,0.8260882638063965,0.7034838590801223,0.7116844304746961,0.6998845693593274,0.6894260968751569,0.7161621522812426,0.7571723222282397,0.7769722945000892,0.8180202238450102,0.852795162413059,0.9360855052788086,0.9877111659869295,1.0610144386574847,1.109049441185327,1.1780598785809737,1.345344265314902,1.2680389850122034,1.3216810102079413,1.1681340493775456,1.0319778159049398,1.0554926766910449,1.1564374039340894,1.4890208561894245,1.220677495843384,1.245702051095115,1.3166773275290267,0.895787011760706,0.8481058518027287,0.8489855646229802,0.9679543572315558,0.8154801309649475,0.9319502163978491,1.1639926683563473,1.0998690661358441,0.9719350211299612,1.2422500954609135,1.4169272331410996,1.1935756566905498,1.1753969712857897,0.8325856439379121,0.9451888841470076,0.8416194206875317,0.7762694215833823,0.9641385625281451,0.8721714511886781,1.0057145254269513,0.8809522825424111,0.8295274215494354,0.8654692678704443,0.8725244052039315,0.7567817130727258,0.8363945059814334,0.9459978845093764,0.869046268389662,0.8986450347581004,1.024531102847159,1.2063756728524262,1.0629546367740212,1.0481979595190778,0.9913677378662126,0.8856026043186521,0.7690060140904945,0.8456166348870063,0.9013381118927137,0.8469934801116887,0.7942568259670005,0.8754099565982547,0.9270063642698749,0.7980788121044733,0.8973528481147574,1.2183102424001027,0.9409364112260363,0.974155464031123,1.1247083429264497,1.3399187999467947,1.1778245888182972,1.0135691547385177,1.34988711389585,1.3416377264680401,1.2714128193420628,1.1301073120273184,0.979554263969689,0.9985180068643912,1.0698863547404434,0.8503673930533777,0.9605794996179111,0.7744640923849958,0.7865850120474878,0.707591279289238,0.726539491247845,0.6910735436637716,0.8160437978903831,0.8546488261649624,0.7918713534537118,1.5829786157447567,0.9755229656902765,0.8111234333915461,0.8522746021632953,0.8340432228756278,0.8335163928249926,1.0497319462926786,1.1033909090354042,1.8297973611077485,2.00136414604352,2.2595967804159467],[0.8441885519167571,0.8422923707862204,0.8861118165923567,0.7067556461793801,0.7857970734719114,0.7184435166094926,0.6953716616127306,0.6768519506422503,0.7177140184885855,0.7268736266529304,0.7511487034048495,0.754561109901042,0.7793251650520178,0.7899614743181732,0.8895075347086157,0.8552028940802969,0.8969346424024361,0.9482269328139399,1.0586122700736238,1.0996244923374487,1.2227168998027653,1.2595966179117775,1.425337020718959,1.4731082003316642,1.4773974157891425,1.2811184312828288,1.10669175036488,0.9928263960552723,0.9299778615096357,0.8699773319314705,0.9483050772859422,0.8311194431480724,0.8648283361436238,0.9355111595322696,0.9099389222060241,0.9715805089171307,0.8902332604012757,1.0200198743190687,0.9986651347883791,1.1053508763230742,1.1446179915511083,1.1196957241774623,1.1322755973383283,1.2296360833719655,1.7293741083687668,1.815943989303819,2.2214207001396105,1.54596170222295,1.393461357447117,1.8139312438464634,1.5660561225976999,2.16322440342966,1.4815850788725196,1.5376017743414578,2.179275687513106,1.2916317905926147,1.2665105253134525,1.7108040390008636,1.5787130909492408,1.5343312769008626,1.3244823957282934,1.2421711096578627,1.2757624029552674,1.336568087514788,1.3438122380269693,1.2283404662115773,1.3032291931018638,1.0825710399683266,1.1390855343281663,1.0707948006069679,1.1889153536258321,1.4129870641048905,1.1913874769399837,1.3746848304428958,1.076337783173963,1.4036996935486792,1.124998953232333,1.101666354702202,1.0881431307563634,1.16361901975458,1.001957544593153,1.1327138648386454,1.1670269054438973,1.0411987910285065,1.0353829976906368,0.939779595881858,1.0313464240810708,1.0007764279838332,1.0401792039719284,0.9747100863270062,1.0526407750293876,1.294079776199599,1.156438197605993,0.9965493766241051,0.9103142998021659,1.0057413655946013,0.9645340965284757,0.8577093407754062,0.7844889615103822,0.8673787973832876,0.7530066416482025,0.8015999492830423,0.8135905023307561,0.7966961103925349,0.9232268809356883,0.7748428928350559,0.7954092907899059,0.9052832150473185,0.7522331976275687,0.8148964298580867,0.6835776379350913,0.7456413326764534,0.7068847271696133,0.7537464846274505,0.8126117948535672,0.8499233067503903,0.9180534288070242,1.009644150807085,1.2012257918394027,0.9674685061976245,0.9555810178381632,0.8753094882701449,0.8726024065273222,0.7997604974344904,0.7556298774742228,0.728551127833125,0.6658411912898429,0.7056909576658034,0.7437434216454819,0.8075963085878205,0.787990177140324,0.781959205534694,0.8382141696342338,0.7983107511902303,0.8182456168346292,0.7981588186478082,0.8223150846193806,0.8542615590183962,0.8387990783330824,0.9084691271741419,1.1635655413730561,1.575437335690594,1.1565109282036736,1.004993445442531,1.0313180821945809,0.9111102571653766,0.8726268582247352,0.825393151730973,0.7725024712791437,0.7342208853248494,0.7214530631047118,0.7012935624859405,0.8702365860836807,1.4195522922151533,1.5220488699728958,0.7829861632322062,0.7431463054728473,0.687891680015184,0.7705444330656676,0.8153599059195559,0.9043982075496854,0.8790200580834437,0.9059093298044276,0.9894541398582974,0.9760482854242275,1.0508344384825872,1.024137420890264,1.2641406894590257,1.1550291443413871,1.0435421091830046,0.9269669231725179,0.902243415364403,0.9135545203670414,0.8880840381966586,0.8590442678321811,0.8362913395303023,0.8356700980167174,0.8497436329614992,0.8949883977666152,0.8704272744114163,0.9262556193393157,0.8506931334838737,0.900227354942392,0.9663821059515932,0.9760372362731624,1.1302979362389527,1.3031975392597002,1.493462257799557,1.9615084670481517,1.5281017466246165,1.582298902364277,1.3323556392963734,1.2786266731918536,1.2008895057610418,1.0298617385430586,1.0650727173845316,0.9497406857583851,0.9094902894962601,0.8408136998170813,0.8702896938076584,0.7597944539003846,0.7577603234064078,0.747254910552387,0.7381137108287674,0.7552806120924614,0.7717979821297772,0.8021164437581858,0.8388511509490654,0.8521013138644892,0.917922614270853,0.9664943015114209,1.0235338752672747,1.0471579322357851,1.116167613738425,1.2890821761963795,1.2445267760483159,1.2690561950849364,1.1446997959332124,1.0267837559188642,1.0345073116336796,1.1398552158898687,1.525932337880002,1.215466761151057,1.2844570844208378,1.3361342091335617,0.929749256009333,0.9007952099575572,0.8914918730392882,0.9852494420124606,0.8649436638272905,0.9738331548708973,1.187130395876939,1.1425844925607,1.0107614657486954,1.2310863559317755,1.3920811715915349,1.2135089142050548,1.21955665011826,0.8876023233095083,0.9734784359821682,0.8813949880725693,0.8279597044660995,0.9966629044261417,0.912805291473447,1.0215120578306918,0.9151879543653167,0.8618354249425986,0.8827135905312968,0.8777746169885521,0.7692446315247956,0.8238156393615016,0.9217652975551782,0.8471288990698786,0.8823797640398813,0.9786939588382018,1.1633439756231008,1.0090107950869467,0.9941457168178018,0.9677945844043396,0.8895565309270482,0.7998060880046317,0.8691598208114288,0.9084353063896703,0.8664011208248947,0.8392232834164727,0.898218731701386,0.9461059499860227,0.8438959734059972,0.9218753215036897,1.2119707614648865,0.9732315589645661,1.016538323614773,1.1152008348701072,1.3326449188448115,1.1854798895977703,1.0389978373870603,1.324785656232757,1.3546853403145527,1.2583163752422009,1.1311308440259866,0.9952678549234493,0.9911095389519731,1.0829868284482302,0.8922948619714391,1.0098777530030827,0.8559040631163138,0.8415659834143715,0.7548376071689933,0.7734360181126035,0.7179877764924568,0.8220778108297799,0.8607202426096413,0.7825733854273236,1.6030092329318057,0.9400855608537674,0.7665313725867778,0.8018025373343465,0.7773611062058784,0.7780126333365927,0.9821562011246756,1.0093579218775721,1.8307969631841352,1.9939777004503565,2.259687698454883],[0.6049396140118735,0.6118677339046007,0.6727248572122011,0.4805244578933762,0.6848721142004017,0.5162524829745562,0.5159124099673749,0.5126154108364,0.5396083327681069,0.5571555813348984,0.576269631418852,0.5763797071602862,0.6102268199781922,0.6055965738612177,0.7407633773715178,0.6997745743343728,0.7387330764271922,0.8055735255396747,0.912426010920915,0.9806596838246534,1.117410067127997,1.1775450713347118,1.3500334706768495,1.4137877862962374,1.404989230661165,1.156725757569865,0.9945178063783603,0.8663832214630073,0.799400441368027,0.7339407561028064,0.7967558517793589,0.6864426541054942,0.7218952416943629,0.7894525166438345,0.7891184899075625,0.8526014132622901,0.7734604126921716,0.9216840695673866,0.9129814941685805,1.0691153056913352,1.0903546223772145,1.0424308481369922,1.0932013355510453,1.2296985750661806,1.7935426665730434,1.862950455179651,2.2806723495409438,1.5934601608416097,1.3832668592490651,1.8588948335835112,1.6277334511322523,2.0642608709049437,1.5151777037657979,1.615511578816216,2.3038313181368504,1.337587997665191,1.2793333187496907,1.8519757469264777,1.6241526113507339,1.5094991613602353,1.262274242266002,1.1630093833937207,1.2030997719276195,1.2435161001177242,1.2224347838058782,1.1352501782424786,1.1835448444794787,0.9267311242702518,0.9622309033630916,0.9092621123390461,1.0140399764989407,1.2857266260397004,1.009140188308754,1.193177935450277,0.9155526788327056,1.3330656659711548,0.9778715943622537,0.9621067037466611,0.9816826250449856,1.0943247840585906,0.9158386321927473,1.0826848240398046,1.0715196234109157,1.0262670503402356,0.9878784148631422,0.8534955977895772,0.9397828101667188,0.9008686718619866,0.9313812008743299,0.8547930935418449,0.9077419595260046,1.170100929043142,1.0118342405925234,0.8501435250443157,0.7603368727099666,0.8516498784286197,0.8379911190219933,0.7078702664855191,0.618560776761397,0.6776062366146705,0.6038142444474338,0.6486616029383893,0.6944733417886382,0.6695036058648267,0.8772280228141507,0.6743168425062963,0.7091291039558166,0.8525442494316787,0.6580569557833399,0.7183164707167854,0.5794582371633967,0.6373370891547866,0.562939733695031,0.6328622108733486,0.6585780134032226,0.7253337517293159,0.7933506005380753,0.8777212127692985,1.0356594569722128,0.8125070769687015,0.7970284020430802,0.7134517582868826,0.7151751472575445,0.6391597016408177,0.5920764977056233,0.6184275605414498,0.5590521716310093,0.6266860713816189,0.6620858560896968,0.7486293252753106,0.7274123329326274,0.7516384283128295,0.8332361832024361,0.777998290970411,0.7988464136870516,0.7423265455759539,0.7772175930758107,0.7827053694221008,0.7598182139425971,0.8172527272261008,1.0580071764442929,1.4543748411010087,1.053132026954404,0.8974088606164945,0.9494198041055962,0.7986011508461839,0.7523123810835797,0.6928375560244847,0.6477973495262318,0.5735804151582554,0.5701116483563659,0.5463112687000206,0.7109408390288445,1.1981543635166036,1.3320661817554316,0.6191365421714606,0.5867762377677168,0.5485253298807983,0.6328101377001911,0.7025836972696038,0.8187311452467215,0.7733338156661547,0.8268771301701069,0.9273787463461226,0.9553157199753517,1.0403362169597246,1.0228428279127053,1.276853250888493,1.1711606301952913,1.0287807963434203,0.9186431379520792,0.8735672948009499,0.8808141102631147,0.8426361531670215,0.7988069154890547,0.7633099751365142,0.7276019587416892,0.7594265010070081,0.8299401772306264,0.8183687783068877,0.8945568679077416,0.8093286102187731,0.9137671583245964,1.0059318898671987,0.9804235504410755,1.1296776119160576,1.2982634261365165,1.5764419898059028,2.031619784801092,1.6307579090548325,1.6495896879505036,1.3738550524007693,1.3001037039047527,1.2226519430611933,1.0592820598573223,1.1025762106972836,0.9525067274670104,0.8882448132120638,0.7628017428634533,0.7538119589363245,0.6318671626252522,0.6004932128857595,0.5773807264361472,0.5658486113193515,0.5630656353126203,0.5813034269174528,0.6121538092672352,0.644938147672985,0.649674019332542,0.7428636265985957,0.7969910525727845,0.8482003768291911,0.8733440546358439,0.9921393459688721,1.1497947054984436,1.1146903220617328,1.1030579245515593,0.990524226801804,0.8394208478493516,0.8639319783188936,0.9825936279447732,1.3269612557019939,1.0933399615744284,1.1547578927952191,1.2332307515689154,0.8206644409364763,0.811204024224315,0.8194836821250888,0.9202276458386566,0.7685925581146369,0.8958382132957633,1.12448734758727,1.0299426581142668,0.9269860089183053,1.234132711615483,1.380466854144882,1.1445231399742546,1.1552255720025937,0.7872721495578691,0.9158971403330624,0.8152101539253642,0.7259323000300337,0.9088747763250898,0.7894536465981805,0.9447178382384087,0.8117042274717808,0.7375271981164763,0.7430200844649696,0.7561676310077874,0.5990921566372579,0.6463429965817213,0.7725657595502102,0.66722146414909,0.6788573283967201,0.7740903653897171,1.0030647388018394,0.8040286891884559,0.7812209310182182,0.7600833822369006,0.6748081348386931,0.6113244837327058,0.7156691136632504,0.717307170574941,0.6715294410032318,0.6668036531180457,0.7399175076453486,0.7736663614618781,0.6831847375722367,0.800506356697232,1.0851809964193462,0.8157482645007825,0.8995917379566708,1.0373433734812203,1.2472405845637646,1.0722701201765086,0.8860580710846159,1.2799565741292396,1.29511939300706,1.0995320329801184,0.9952267522137807,0.8296889746214334,0.8521475470487765,0.9918151750899385,0.7415212648652224,0.8226246247897994,0.6746366469739397,0.6737431195129812,0.5952806242843658,0.6474324680726014,0.5928982752345322,0.7433808015474169,0.7003948676465779,0.5919840215693468,1.3902833588215688,0.8475539997880621,0.6239324067145485,0.5689252862011621,0.5989909232324343,0.6060010823736666,0.877849931141461,0.7570631301246192,1.657679700755049,1.8540009899211158,2.2186209130998558],[0.609143643244533,0.6239539247212087,0.6608421617179548,0.5299611634427139,0.8046835855681397,0.6277408762265996,0.6867285969280815,0.7042534795998735,0.703621218495407,0.7873931751923394,0.8062810531216171,0.7949185364618998,0.8911967056799137,0.8640767538733308,1.0159107905796987,1.00934363782566,1.057454596637726,1.1398832632788014,1.245614232461006,1.3427795106405875,1.4829705304040828,1.5685602400720722,1.6862878060174609,1.7544410591668131,1.7394836432923053,1.5135103228692692,1.3575614593411802,1.2230482513352618,1.1454556503266684,1.0744599116921951,1.1190401876864629,1.0227255993225033,1.0508683454531775,1.1364144783729888,1.1470322695217825,1.206856836658574,1.1321395550452664,1.2895605846226663,1.2995537478150745,1.4685259353027418,1.4598890499421182,1.4184489553327118,1.4588863261982778,1.5665881052720858,2.045218602453314,2.0863845361577593,2.5339831376804103,1.9182330590416141,1.695485971265308,2.175336274188873,1.9813212325793694,2.3497224729186135,1.8495068833346058,1.96853343782121,2.4946253888541268,1.6933438721290244,1.6620006889360042,2.111992157673522,1.8764068509225655,1.8565120299901645,1.6730796038366085,1.5588363786446207,1.5736112532784736,1.6287988575853034,1.6154521443471692,1.5094903919618923,1.532561066425846,1.2806950490221516,1.2709076435388627,1.193244588375687,1.2442509195971978,1.5370112142409051,1.2682967666614569,1.4414033708470886,1.2364756168580642,1.6519069419510186,1.3501763750975726,1.3398060308356188,1.3637692568818955,1.488240819632584,1.3151859867283333,1.491197363173952,1.406477613674585,1.3823140663591542,1.346235770160223,1.2343589963212227,1.3332356547574764,1.2563863562298483,1.2979992833226317,1.2233140524260768,1.262224220948239,1.479232813902016,1.319792358550802,1.1678492854883717,1.0605776342608524,1.1079901716967,1.059274973387184,0.9917527074366395,0.8998276215955087,0.8974116384268358,0.9199179599500419,0.9110095957045615,1.0381483004638843,0.9682253197430133,1.144019548342198,0.9432538467332169,0.9691300284398708,1.0984981897754034,0.8623064386637069,0.9354172267796748,0.7992962859629136,0.897918768811695,0.8079991343086949,0.9002064272929857,0.9482635023006992,1.0121721758246265,1.0903296993402738,1.196990703219855,1.3369959497172257,1.1349396109824366,1.0905196170280822,0.9846439620584818,0.9823875591893761,0.9052007680838962,0.8204828964336015,0.867927208160161,0.7531225981161177,0.8554956874896446,0.8665032878840836,0.97206642497365,0.9096154199532739,0.9543141371432443,1.0872682421711393,1.0573106635655574,1.0672445650737181,1.007108298050784,0.9602937504006404,0.9998583224496597,0.9938189717374984,1.1228600964422026,1.3507077646966557,1.7996270003630126,1.4117914779544365,1.2409128852316702,1.3150108476456202,1.1610483359751238,1.090877094865352,1.0094683283133756,0.955507240332935,0.8393791460161338,0.7994592687819325,0.7604689832430179,0.8802158301843587,1.2729375916173422,1.4645750953603323,0.8643971733330755,0.8671996708237577,0.8233585853097739,0.9537082852649851,1.0113207321010178,1.1419968440859711,1.1324303063719605,1.1807980006413277,1.3000724884085306,1.3101355865920334,1.353621640340592,1.3244806737652717,1.5451110481971644,1.4062066534560764,1.2680829846101362,1.1875497798166645,1.1645335067000402,1.2055314523641447,1.1887981605983324,1.1582519262403972,1.1013326877725023,1.0644759882028738,1.1090909978868737,1.1857831380970905,1.170290663155069,1.2529902303667078,1.1320826815670506,1.2211540559112495,1.322476943638727,1.3059313414982818,1.5000119521554143,1.6664155633947197,1.9706736717620248,2.230703567463871,1.98169367970451,1.9895948655944606,1.6722446551860817,1.5878324716932426,1.4638405814562612,1.2920004368156912,1.2860721479486008,1.0973731782930427,1.0131531286869564,0.8454257173280783,0.8415449355235506,0.7132829566470914,0.6931192848388827,0.6695721801942522,0.6146065947549987,0.6005441966864341,0.6172135248879991,0.6203281655027616,0.6473654343328171,0.651446297439935,0.737415998792285,0.7766911395363559,0.8180537464349521,0.8438303263751344,0.9642489373669998,1.1202826773965098,1.0934363515021928,1.0767128670241308,0.969123494615714,0.8095549743546658,0.8357351204244966,0.9428366395407792,1.309416603637052,1.0791450332105526,1.1520766597610057,1.2302063023545002,0.8607813851689429,0.8920249358835075,0.8762709597494235,0.9564089648382409,0.8312287006744657,0.9349944819720704,1.128386083410359,1.0067422967219697,0.9463283595206832,1.3629831656556648,1.3999883577679124,1.1505889010820198,1.2163720748098352,0.8334481827805472,1.0000020864539005,0.9167391876863917,0.815115255127628,1.02691304636811,0.8925005663429949,1.1001248703664055,0.9344070473656465,0.8230434238582409,0.8661672049435334,0.8804131644828718,0.6825932808454345,0.7144190559480246,0.8393742102791515,0.7043978621251553,0.6933827564355324,0.7809755489482445,1.0026380866973361,0.7691617645392291,0.7435008900650979,0.7243281995396275,0.6563577275465909,0.6405161000588052,0.7215872435742199,0.7007078782813787,0.6635492009031786,0.6815650329991582,0.7310804284376683,0.7578414305586035,0.6921697664925371,0.8103506545642225,1.0515889069739395,0.7990236241448101,0.8966128405450996,1.0168799467305716,1.2253306386341545,1.0491002954423188,0.867741530271275,1.3078376857255214,1.3163595613743526,1.085008294706826,0.988636039186932,0.8182810030643072,0.8425062759224898,1.001374149418024,0.7427415401341758,0.7986938101998603,0.682156943446387,0.6775773503067467,0.6529153262037575,0.7319702628969561,0.721789695261599,0.8593064630687817,0.7739812642833002,0.691441854796501,1.465125899668873,0.9159477342387414,0.7073598203026257,0.6826323651509718,0.7272258096551352,0.6814762809399973,0.8858545869354819,0.787346321593591,1.9139353313492733,2.0963149646175387,2.464526737385121],[0.656465475284319,0.6952454667943783,0.7227978122789377,0.6600090023172567,0.9836163640241768,0.7920229615701789,0.8648048766723296,0.8865150660745087,0.8593378001709042,0.9417627108430286,0.9417402126480318,0.94295713125928,1.0447200922628814,0.9913796538973333,1.1319566796948701,1.1409386790398761,1.18493114040852,1.238482479896638,1.3095570489439436,1.425606498583071,1.5316830426701695,1.6158798303892388,1.7024302121067474,1.7554071023749693,1.7813808613248447,1.5769888815013813,1.4624529928847283,1.342007835019094,1.2680720383315371,1.217003251492607,1.2209026991459901,1.1647334951917652,1.181963835919759,1.2480233508550276,1.27076411318535,1.319717113396089,1.2770614963480513,1.4117826169012109,1.4338857883888312,1.5935983730888525,1.576096921582533,1.5055587865595546,1.5332127127080877,1.6330679518094056,2.0707536160723996,2.129117601655332,2.549262476648129,1.9593169961913703,1.7851764055949055,2.226762912809725,2.0310291933764004,2.460684002198579,1.9069158517238454,2.0375573462554226,2.5194282244651753,1.7553819303819904,1.7214433602570702,2.1390123467575415,1.9240552816041934,1.907659392144137,1.7276428728585507,1.6057835792595299,1.628076255549603,1.6485391755620042,1.6528899386676967,1.5708150577943323,1.570810483650271,1.3421625906365748,1.3094664944026961,1.2444412188118041,1.2730685603686736,1.5526162541791837,1.2957574150721154,1.4559574312487782,1.2867656542268884,1.6881351311658876,1.4102686390895975,1.409897824649046,1.4459201981552416,1.5748670834926788,1.4331344399043202,1.62082332334889,1.548295273187838,1.5227601346452504,1.4953525946828283,1.3839837028516768,1.4538901552655719,1.3810561979650804,1.396443319747831,1.323284683322433,1.345576662492499,1.5364908423510544,1.3899453079650963,1.263007843432013,1.1677387526964922,1.1976745157310071,1.1545376714187343,1.1252667423080547,1.0487870942666462,1.0514041885588212,1.0889587473541498,1.0953380363925715,1.2225724832031044,1.1700058336813564,1.3244287560975279,1.1507568064643976,1.1720012556740993,1.2810745897665863,1.0680466550382863,1.1433548189721383,1.0103810338079688,1.098155010379695,1.004010354709568,1.0898200455227123,1.1138307847323519,1.1714873269059034,1.2194381773599838,1.3174775680028346,1.3951435116297888,1.2276164576369442,1.1831847726637477,1.0979300877186464,1.114063982524055,1.0640515496443232,0.9887984150687887,1.0683565079906945,0.9557726518361095,1.059509767642388,1.0612081608131065,1.1619811062276284,1.0892278936998112,1.1376099509382,1.267855985001547,1.2510985442053446,1.256045120598818,1.20349785044731,1.122764773975149,1.1747325409019038,1.1626608239379739,1.303030075391063,1.4893531700959808,1.9019318903442455,1.5317725571537608,1.388384236962373,1.4518267716486182,1.3137224543266766,1.2571773974318514,1.1834629583457679,1.1468997362514004,1.0246489600445527,0.988643198309914,0.9402996653705128,1.04821880222209,1.348785933407619,1.5684826758178168,1.0386779796700836,1.045118660411378,1.018911168151195,1.1347820693834278,1.2030895160908752,1.3295272194650793,1.3070824543335917,1.3561718726328642,1.4630231131532896,1.471776423104242,1.4964115899022024,1.475481882840739,1.664154444786684,1.5311404631834071,1.4217729691518692,1.3577360619658032,1.342781116489603,1.3849251420683206,1.3749487280923651,1.3422835440778655,1.2868304598715719,1.2414669663201499,1.2893350838678397,1.3576805852061622,1.3514291416415407,1.4340886719500798,1.3262277475444302,1.3956902735287204,1.4837893358437968,1.4702725105853496,1.6526555070643867,1.8032238963578167,2.079858715996535,2.3133514723710866,2.0808583914747865,2.0935587302892293,1.7971700376615312,1.7157309432825927,1.5965343347739767,1.4404779883481138,1.412667507212489,1.2323118568947453,1.1557156953279084,0.9914494914434868,1.0017203534300092,0.8827381368832612,0.8758084391247336,0.8535233045460487,0.7710931917773342,0.7579102958209961,0.7729793176742448,0.7410981598899206,0.7554238745045251,0.7587188836922705,0.8078317291476846,0.8212280592420139,0.8461308122555172,0.8646807614433302,0.9550497319890764,1.090499057899294,1.1025706219943192,1.0647320025651348,0.9729512641074264,0.8319038957379861,0.8541478846037399,0.9621938389088822,1.3646747797705536,1.1422846905217823,1.2294633922993137,1.299202327621881,0.9897734530409217,1.0375811135404223,1.0060150497331841,1.0638962557814058,0.9713542544404421,1.0414216439958692,1.1721467321285262,1.0622098482149034,1.0447719956434613,1.4917700229850643,1.430566676130557,1.2102239576161644,1.3349899641227352,0.9588094872528438,1.1236102709747324,1.0656942337226465,0.9766562645103765,1.206036378920728,1.0736061386523348,1.2905639782838703,1.1191647446331086,0.9972523147008537,1.0622464655582107,1.0645127106093009,0.8615074165321491,0.8827857680899546,0.991902495317098,0.8444745683679585,0.8165205715583145,0.8884923011539656,1.0748610566849923,0.8137116807042765,0.7903668676263125,0.779381303532555,0.7548666602512537,0.7889021834501324,0.8485133950823103,0.7876827689213542,0.7677227091027038,0.812196322725647,0.8204625113728985,0.830989714912004,0.8059423977201212,0.899246378378952,1.069364469297795,0.8711164849140349,0.9725604163605135,1.0375445181214928,1.228040438145123,1.072482472033482,0.9201689961611115,1.336346732516841,1.381223267524774,1.0862460657284576,1.007500661235542,0.8748638545994953,0.8861458758408398,1.050276868683947,0.8092860047723355,0.8488801682596733,0.8040828052487972,0.7971216987864392,0.8114829167887689,0.892194061651818,0.8996522810508905,1.0387545826438835,0.9326041729750505,0.8798946120058705,1.573762431758938,1.039944715343252,0.8780274225656706,0.8517795496362106,0.8857761195592783,0.8364704232551868,0.9672790911789168,0.8826209540367068,2.1333452069864505,2.322128353436219,2.7294871680791237],[0.6025589610227671,0.6494982828053824,0.6994994913670882,0.5924613004533603,0.9046092478655399,0.6884121441398544,0.7338656724090226,0.7508375382406988,0.6972086075152777,0.7442258041478236,0.7314081143683362,0.744517519486052,0.8273592855597023,0.7603883355220704,0.8999936001166704,0.9008150316585667,0.9303934858548883,0.9639391936041924,1.0267019375610222,1.129243625528605,1.2331653026364349,1.3089308107648554,1.4326408050922437,1.4861801628818474,1.5026249718967741,1.2592467411937998,1.1591767038614713,1.054960958716528,0.9959853988143365,0.9587886255215265,0.9694135486296828,0.919963587731285,0.9375670402198782,0.9791270053772864,1.0109193531893126,1.0544562185801765,1.01601226522574,1.136137549677955,1.145302192567291,1.3086648256695526,1.2941477584891838,1.2056262235619362,1.2400070141745878,1.351861530418282,1.869307298979815,1.9307606608984458,2.356532409409283,1.7027139858256404,1.5309969681769344,2.004115752330475,1.7870243229340548,2.2053779761470156,1.6674251635572723,1.798126025579921,2.4128581494984718,1.501992040840748,1.4376855461249107,2.006766236715284,1.744926030210926,1.6464560872921297,1.407883077403803,1.3000906967510228,1.3438817614028415,1.361394247702266,1.3333251505221713,1.2695096320759272,1.2798159033478935,1.059937007604805,1.0430802397012415,1.0060167365626773,1.0786808271064787,1.3635480270293636,1.0736864441179135,1.223124536610981,1.0322051172629656,1.4228525456742755,1.124679472989863,1.1266569463198362,1.1712771039992242,1.2988767538909254,1.1571040454821544,1.334725193425793,1.3042869578280927,1.297157145691599,1.245074470403166,1.1186254013743857,1.16780019013209,1.1202401735464735,1.1236090089998787,1.0554319923472602,1.0689403903644812,1.2856547241940826,1.1458578314758554,1.0065095868054237,0.9240868961854534,0.9741485197621969,0.9609133381123656,0.888904177224185,0.8293700846456705,0.8492528717667485,0.8794676082890097,0.9201238754848061,1.0110882672336532,1.0027806266680415,1.1954002977873601,1.01438681139215,1.0633681058376871,1.196488829711374,0.9877652600318266,1.0356694344442736,0.9082631380612172,0.9596862140760798,0.8455008383064069,0.9119404280429946,0.8896743524041029,0.9412175609189684,0.9686234984032339,1.0254854796422872,1.1059104148713679,0.9475758524479646,0.9219080737910779,0.8594752304968325,0.8660421385353868,0.8421012150072779,0.8122293466944782,0.9023459252654443,0.8505160006444065,0.9445565453328191,0.9791398237302441,1.0635061651627542,1.0221614617440207,1.0659921431189012,1.1667958100941072,1.1276176748291624,1.1363461981426102,1.0720532561137892,1.051893092794916,1.0609419580896573,1.0277356863932117,1.080567849803302,1.2270286599116356,1.5935349630321227,1.2246194795124226,1.1130096832870042,1.1815928714271835,1.0446476010849817,1.0078531240232023,0.9533403544366643,0.9563525621208268,0.8448377135025348,0.8495816105553177,0.7858305881431472,0.9150198906567375,1.1960031877054813,1.391751089795967,0.8506004981468497,0.8482230664612642,0.8451351027813623,0.9297419453169549,1.0379166421882329,1.1430909322366902,1.0612027446441847,1.1179069924160705,1.21312624099395,1.2602821806777134,1.3111389623595362,1.314376684231283,1.5247144798664,1.4350306356353482,1.303029194699335,1.2321163995646618,1.1858560157881242,1.1994252350601242,1.1754464894624117,1.125102574039984,1.088895028603782,1.0187006996717158,1.071634523734261,1.13300015930497,1.1475433962416604,1.2225405827000346,1.1675532428766717,1.2526685549999188,1.3282041866156662,1.3009397691563827,1.4237900507811359,1.5479515878099988,1.8227820227466018,2.166296014002056,1.8719760202661897,1.8866918625822717,1.6356023826004729,1.5750878307365175,1.4897965784343679,1.3460674225080236,1.3489854782589807,1.194553376513891,1.1324232018201787,0.9803707748258044,0.9732073108655203,0.8703805662567512,0.8486764649503079,0.8168306210021203,0.7637846750163928,0.748760891578733,0.7554786211758475,0.7342592438692248,0.7463490175523368,0.7457229997773365,0.7997826636094059,0.8233643132952385,0.837222369622227,0.8441637266546058,0.9562622724187869,1.0725257212693693,1.0768713474133111,1.0409636442015295,0.9734443681017176,0.8350505293216343,0.8562455837697505,0.9762014545280512,1.3409283047292284,1.1684524222103503,1.2000017758168748,1.3005040097273144,0.9892448604084209,1.0329385492728393,1.0162312070255326,1.0615350470571716,0.9753979897224088,1.0467746129196114,1.1801941538618619,1.0608673784139837,1.041154828576127,1.4581876306488484,1.4338224307503815,1.2125293642863528,1.3066472856680396,0.9536598871723285,1.1182612813558492,1.0545621413041906,0.9747412436597793,1.1743409147277037,1.0437667135987496,1.2375100651077349,1.0820103818791693,0.9694520466583503,1.007033034025137,1.0134792086936497,0.8360945101831524,0.8460370449271558,0.9479815678318989,0.8117997765460656,0.7926511412566906,0.8468652585381106,1.0386639014370191,0.7885519683398708,0.7712440729519123,0.7713399255779314,0.7495651755020784,0.7868544249965886,0.8595657604040682,0.7910827513070017,0.7711206195341695,0.818676989223936,0.8332089979734103,0.8340523047216764,0.8158799698403861,0.9155308491534412,1.059262657446313,0.8716811249638418,0.9859372318639654,1.0524570865388367,1.2407150889037946,1.0858546265864435,0.9379138816525007,1.3817416076272064,1.436990326464525,1.0903651239601202,1.0260561905864327,0.8777860538413529,0.8928314021941198,1.0782214792598939,0.8406122623957444,0.857685604100481,0.8097943697101073,0.8096195150732668,0.7976694833821459,0.8696555130904756,0.8501986784742798,0.9984458726737518,0.8802858323516503,0.8132005312414022,1.5070718012196624,1.0209916000262673,0.8339841921453213,0.7761298430816133,0.818412085881134,0.7785798454538149,0.9575999866916591,0.7960955938169699,2.0462692783139365,2.205228537640904,2.5907804368913414],[0.6386760719480428,0.665851775716061,0.7448075059359328,0.583266271937941,0.8458712624015714,0.6573766930777867,0.7131131844052641,0.7372739977208094,0.6865398871844601,0.7513491992909519,0.7501504969400271,0.7576340423659788,0.8544253145504584,0.7934216274185236,0.9590465660033004,0.9599547546489625,0.9895246378924313,1.0641427262512178,1.1681559620392794,1.2675710329681822,1.412662237030074,1.5184801242750179,1.6498622987165958,1.7222594715108634,1.68140902182337,1.4195169092778381,1.285927662460217,1.154749129492947,1.088935867093239,1.0305405201801068,1.0584809871222225,0.9867577224741324,1.0099081124184177,1.0821686475142627,1.1078520441748585,1.1562182321605223,1.1024500316291403,1.2584778950880333,1.261154232443518,1.453808623019975,1.4233396723734115,1.3788870629488574,1.428041461744698,1.5422256541930688,2.0380257028591444,2.0445082333484694,2.509331942059109,1.9091312723027207,1.6611990035846445,2.18210085255645,2.003068548083169,2.2392326196105423,1.8719771058219261,2.0137495235181535,2.5879632607997793,1.7286546503120999,1.6794021107712067,2.2555608668583185,1.9389088660577758,1.8404938875823105,1.6297370137813176,1.5216620138961874,1.5243906289587639,1.5906128989651411,1.538804033299573,1.4406991389602661,1.4498252669307168,1.2099866735344713,1.188032220400717,1.127086317089352,1.1958127051763483,1.5170381372095059,1.2091212275092975,1.3611562010822618,1.1766968683361425,1.5739831605330987,1.279213216310749,1.2780092078929421,1.3172486587664787,1.4491829185307366,1.3014575411033535,1.4862492339095266,1.3767398623602125,1.42591871610994,1.3564790246558744,1.2176112360708868,1.2978863984293334,1.2315248261323066,1.2464014622223443,1.1857083453978736,1.2002826040065964,1.4099462346348994,1.2503261926675142,1.1024761791323159,1.0010399669652832,1.0385145755768392,1.0169386221256342,0.9371846461435888,0.8611963636720416,0.8610075889713595,0.9159850203376324,0.9339600682808116,1.049880404855358,1.0147326492281281,1.2272944765431666,1.0192887042240395,1.070709861532563,1.1992325453008157,0.9828883884474217,1.0197358930785538,0.8906596323268636,0.9484781664613218,0.8355212251023554,0.9077696085290574,0.9059307615049379,0.9619676498228704,1.020655250534757,1.0951975186484413,1.2266136950142814,1.0435961332371027,0.9960660334227773,0.9032200798105687,0.8925659788469683,0.844495067659204,0.7961060828668354,0.8820097702642882,0.8258200184046828,0.9303102601794929,0.9711531763279845,1.072252842799574,1.0339256228533924,1.0978296545136785,1.20780756352638,1.1628921972330728,1.1608467441957975,1.075368592873688,1.0607682968359993,1.0432478089602237,1.0173805882138085,1.1075999157098555,1.2708324686453587,1.719149154280742,1.3319930162863363,1.1734891468812048,1.273688379517692,1.117948624718961,1.0527769284919384,0.9768957471168891,0.9676811023979577,0.8500889500681142,0.8454575979493575,0.7830273509991929,0.9148043625503955,1.1859696252244927,1.3857396881030017,0.8529413886523651,0.8584673676189041,0.8510064405704072,0.9513021615512328,1.0501739320378747,1.1539630824660088,1.1154219963090077,1.168155962153426,1.288947377579851,1.3404803252298487,1.389991996266474,1.3962805769601998,1.6156995876291333,1.4946936609898311,1.323196716751165,1.2669036860131322,1.2142428011577016,1.247094324319481,1.2231474412074823,1.1787055788653955,1.1346038879292826,1.067741811732374,1.1301273162213155,1.209707945285553,1.211960177961349,1.2864918979457098,1.2031004705668151,1.3225213086685699,1.4231483891973473,1.3778736510156722,1.5274107632792329,1.65754406915765,2.009579640662759,2.2134029310307604,2.053215866435463,2.067236110876859,1.7518440857288191,1.673202243103492,1.5650076799515076,1.4178614709962312,1.4239274122524124,1.2389786248749424,1.175542256838931,1.0160804895591302,0.9992064041464647,0.8954279484566058,0.8605470374856535,0.8242619925313677,0.7884220215351467,0.7695821339338459,0.7655557035834069,0.7620096341557022,0.7763227910489156,0.7688216835122516,0.8317418767725746,0.8815039609927736,0.8989554320444522,0.897028783236834,1.0351534731795056,1.1557909373529471,1.123244923997812,1.1008257095708114,1.0579866069423696,0.9190335080257119,0.9472367479766345,1.0561745483035028,1.2907007296802289,1.2124755340699476,1.228778666930356,1.354165350013993,1.026932153068272,1.0404165190239576,1.059652083849292,1.1034453608652868,1.008595103186437,1.109913858699052,1.2794928437464632,1.1282520777451102,1.0993031934685416,1.513615368363473,1.5220063045736065,1.289593158842606,1.32598813592734,1.002988191556082,1.178030560138362,1.1000853440996265,0.9975295612391626,1.1729441111570236,1.0529686736485369,1.2308621539931213,1.082498111266032,0.9786627666094965,0.9939051059484157,1.005051157225065,0.8333148603547588,0.8312169486450713,0.9280248466146794,0.8002162167037443,0.7911304573746741,0.8411393121499343,1.0353154662557853,0.8250609662437846,0.8120630206133841,0.8216899246071132,0.785502742431928,0.8094945430535974,0.9082128095674279,0.8430338964991871,0.8135008422970974,0.8642409740997274,0.9015365619619256,0.8968729125284782,0.8693436688710542,0.9904542856758158,1.1560580715149003,0.9319947920197859,1.0501436637011354,1.1727846662634418,1.340590097692721,1.174285636358355,0.9969236136626498,1.4506824030625218,1.4248400706859072,1.1669893674743652,1.0828293306340522,0.9170799583320673,0.9387240949715706,1.1084342085440362,0.8894786691358689,0.9195090777893865,0.8288546204385763,0.8428963594969505,0.8067306470711811,0.8892599495124226,0.8455885042449555,0.9627349458763435,0.878707717386404,0.787054112035139,1.4835054996349097,1.0397038209203584,0.7936750151106293,0.7517775015505916,0.8123490908186346,0.7516374390364716,0.9777166146745339,0.8011529890567796,1.95849953388244,2.1278363860960043,2.496114515239123],[0.6289215226012768,0.6718094086676317,0.7191746295476334,0.6442279064017605,1.00765526263904,0.8066769994757166,0.8962811755462227,0.9457325518360306,0.8964496883824937,0.995745961687516,1.006073046620078,1.0242699998999258,1.1362773433262716,1.0673538654202037,1.2495239312319966,1.261879397506077,1.278189232464749,1.3694639920743616,1.4631932126137956,1.5827873260450585,1.7136309740343687,1.8293388331229554,1.9200316896450849,1.9799756253738543,1.9570967888120614,1.71990256367734,1.5990439212450374,1.4724014503435172,1.4069616185139948,1.3481869433634497,1.3607980303645335,1.3055537567362878,1.3245485466669717,1.4075171655089598,1.4328414507956344,1.4734805294713502,1.4343539503588567,1.5903935286565063,1.5981837753998402,1.7922086508410389,1.7494394343334536,1.7049949479328008,1.7480197505789654,1.8463941394824306,2.2716695779142397,2.2753212627316355,2.7215680065292727,2.193239952271445,1.9535320650489492,2.466435184656768,2.3050588266334575,2.5093417766757744,2.157678952124316,2.3236499363124667,2.791381203809979,2.0301832121096517,1.9952404860372395,2.502665777688404,2.1958728194026937,2.116189658408834,1.9517397936272003,1.8402798797760385,1.8385918959934893,1.8837383924719202,1.8398242614185347,1.7531647191331747,1.7390344100004111,1.517573368035402,1.4713044343701016,1.40751097192938,1.4443999226699333,1.758208631370977,1.4676512064361467,1.595178377243373,1.475570891163091,1.8448409780871808,1.5872986976558192,1.5911801376870005,1.6321551377353485,1.768635441121222,1.64633106195934,1.836123411250857,1.6923938372635077,1.7419299979463287,1.6801695044531202,1.5543640806410872,1.6371084827800921,1.5661389806642796,1.5659279188662183,1.50699155415552,1.5166859055752488,1.692171807977579,1.5306218014514636,1.4074682221030543,1.3043248639629061,1.3119132689528636,1.2905446395508002,1.2392573800517908,1.1548847867590641,1.140854732256427,1.2237200378853974,1.2148163589402827,1.361566380020652,1.2875032016269747,1.4644984653815578,1.2676695789738603,1.3111746250455978,1.4126665792236561,1.1713274197778663,1.2227920429679224,1.0914820592646908,1.17575345427457,1.0708371817222357,1.1524595478234938,1.172184227462178,1.2250009189958402,1.3015017137850924,1.3846893590732152,1.5048334201917963,1.3367872585564584,1.263528998452969,1.162798358815629,1.1339325345004494,1.087708773823607,1.018662635320126,1.1131832520273723,1.0201553336366442,1.1437812262326468,1.1499451839681676,1.274035864883046,1.2083433490468074,1.2950269864162445,1.4385067630323651,1.4136319075045776,1.3972702800227446,1.3077966306812,1.2237076703172618,1.2303926074856402,1.204323667137757,1.3852420902999543,1.5309733211973817,2.0051584875846613,1.6340598501368282,1.4759640563430623,1.5910716215517196,1.4392855234144502,1.3544351344956524,1.267848745809867,1.2443790366882332,1.1109972334183373,1.0817034578264724,1.0243853759531119,1.1384245654921321,1.3243465391031304,1.572451399401272,1.1227457247760715,1.145238330224407,1.1355596547408127,1.2507381111803793,1.3178727070049707,1.4235026966634254,1.4334996039553292,1.476760505698653,1.601647059552908,1.6282336604300307,1.6421153127408272,1.6536531247252375,1.843467821725946,1.6928583773711854,1.5372361361287494,1.4991694798591146,1.460113022572037,1.5234454124160235,1.517792304215822,1.4879796987549383,1.4327340064385237,1.3775015715783794,1.4464365316890564,1.5241146863660324,1.5169742358629918,1.5865660463269036,1.475082818040534,1.5830938253408586,1.6943731120494079,1.6595074616992298,1.8405896900790766,1.975976586493572,2.332884219932896,2.427002491558078,2.3275487979062723,2.3188533482166154,1.9999511414059103,1.908737245437308,1.7693210596701165,1.621342790865913,1.5947358004536187,1.3830190034134708,1.3109083067801117,1.1250444304867733,1.1185362631200395,1.0090935447919385,0.9880320932468454,0.948880134510483,0.8646128626011382,0.8438381413611293,0.83233164873752,0.7878078248631729,0.7885599894221678,0.7911546724063688,0.8223123149563373,0.8415414568728018,0.8519747274143726,0.846894876832091,0.9651165072021215,1.088618069871591,1.0872290541860714,1.0450822488261513,1.008329740009037,0.869448177323353,0.8962450284782415,1.0226269348693662,1.3042551929721335,1.2309361172481712,1.2380935251881204,1.3465614766249965,1.0968168705121493,1.1657326317684424,1.1772381176842739,1.2066510395588421,1.1320496378025735,1.1984383512679952,1.32767130584035,1.1831365216684842,1.1875768413887626,1.6649443276150413,1.5758786259377713,1.3216292083857912,1.4466805892636831,1.0944105976798522,1.285913646308852,1.2347218788400796,1.1298941893674912,1.3330530266595768,1.2106344741103239,1.4074032269344343,1.238977373499859,1.1154867585352313,1.1512967240116596,1.1461327053939618,0.940459992866543,0.9301393969164711,1.0146558790901634,0.8690833819629223,0.8422354010406349,0.8811128059626386,1.0543373263995799,0.7945106741325028,0.7824248727205723,0.794356223261007,0.8039302016572958,0.8788891420634433,0.9494188030599442,0.8565458905283952,0.8267011184216213,0.9257689846185198,0.9186779596677813,0.8945281605894368,0.9096106503316298,1.037998972383988,1.122495276756917,0.9333542711325395,1.083394053675873,1.1708514903126954,1.3203969513772746,1.1619267904375907,0.9919386847831067,1.4677300522967107,1.4555389610440608,1.127675034664204,1.0503225600748582,0.9008171998006994,0.9110977594199786,1.0947724817281008,0.8847105182255025,0.8958981122708892,0.8599431617120099,0.8795194946106302,0.8864933418981492,0.9954201926278179,0.9739140572631849,1.1090067066264586,0.9794826681661173,0.9208166744997993,1.5279764127701114,1.0849936582449644,0.9333161095898638,0.8628311963258843,0.9064830008862811,0.8488844374449739,0.9987041061600829,0.8430559080970558,2.1522297743907366,2.340119394524714,2.7607085939917853],[0.8539256155941108,0.9100897379660863,0.9106100514946861,0.9060900380488363,1.2696630664062791,1.0747284921194464,1.0938563806302743,1.1206853006916015,1.0471400270413216,1.087316129360536,1.07410479254744,1.100687202076024,1.1908969704438703,1.097282158674537,1.2382052714769587,1.2521268665853118,1.2552242634269468,1.2768125854622794,1.305753419851783,1.4314599675923763,1.5089422845075486,1.611387402326239,1.6928253325377165,1.7345013931625162,1.76572022441772,1.526082224012006,1.4756714304667962,1.3910236495930208,1.3439480475792884,1.332379067328976,1.2870637169264634,1.292850713296172,1.2964181229701863,1.3252403638823895,1.3737961462718824,1.3923148058542727,1.4112223458715236,1.5165777788423231,1.5382998871253903,1.7196535485397775,1.6548103366622924,1.5542089446168486,1.5864026333238184,1.6932211539367297,2.113998114556829,2.160863297873561,2.578685528237143,2.022836570633764,1.8624439750655446,2.3510505533334984,2.159120898318957,2.4501057730119657,2.0251044584623883,2.2262820904029246,2.7256472388686603,1.8758389813239629,1.8089805803952907,2.384741113836898,2.0613393946127805,1.9198296360808393,1.7343080049753608,1.620813410218912,1.642823668904142,1.638635319778809,1.598915058288419,1.5683690922055444,1.5303664841664226,1.3545119532023397,1.2969344017915203,1.2896458130600967,1.3427451929924086,1.656104768806954,1.3371093365027602,1.42063969498576,1.3224937901281064,1.654484264629898,1.4136595964493706,1.4304851438230717,1.4965957649399055,1.6369252014026012,1.5569997131363214,1.7559697276305886,1.673541791166281,1.7359350169407006,1.6731264525751621,1.5305515542918966,1.5512358214426394,1.5094691534295426,1.4510797327197065,1.3972371383581619,1.3838914414669514,1.5424968979550537,1.4136602088259138,1.3267835892027007,1.2576003755296883,1.2711634789423392,1.2884715785551075,1.2464647974201595,1.1991861795836012,1.209314676284603,1.2856324885248274,1.314969474786398,1.4308893168620305,1.415957793433534,1.5728378393760962,1.4305054363467673,1.4870375185558158,1.5787242510903186,1.3720798193918213,1.4023024257749468,1.2945760638301858,1.3328885658609615,1.221566229514198,1.2743895596874437,1.2350643922109767,1.2613399218219967,1.2690193130620802,1.3096240939386203,1.3379958582439329,1.2349157538137905,1.1952007956294322,1.147075240912164,1.1397375074075942,1.1594889302586144,1.1487420441814524,1.2738131387854983,1.240187702978711,1.3482716868766562,1.3475637064926127,1.4444795226776663,1.396269450945919,1.4734021336269036,1.5985095952347053,1.567595677318876,1.5519237046295715,1.4659779256353163,1.3972131178669467,1.3777759956499076,1.320852311905229,1.4564677873027267,1.5183684381095157,1.9216101349195667,1.5398830780556143,1.4506117107998633,1.5537925164035975,1.4197397753065022,1.3733770887788534,1.3165729695745332,1.3451939150557317,1.229962898616546,1.238660743276158,1.177737149856403,1.29282233958349,1.4076830086179657,1.6026931825078459,1.2321320897462729,1.2418490046514674,1.2660156997522416,1.324540518736165,1.4337598008776757,1.520431310757244,1.4647237701677627,1.522631966161708,1.6136053832156145,1.6709011868966532,1.7043806185562929,1.7387882002953055,1.9072940803186558,1.8018008752898849,1.666282146922733,1.6341254913935355,1.575843879679583,1.6144509980305894,1.6011802003122027,1.5529968788843427,1.5088475269584336,1.4280479252328109,1.5019774482282968,1.5652273502896439,1.5812023314206798,1.6628036122723022,1.5920722092334394,1.6740936482381767,1.7641994760794708,1.735192859826704,1.8531672952629845,1.952413245198831,2.273699122322429,2.4172709501152188,2.282397053836438,2.3021804868546982,2.003746764829233,1.9759649174671516,1.8692477991640406,1.7453253061374727,1.7225859944860786,1.5439965098951867,1.4847459052671217,1.3339511814415705,1.3439227017988855,1.2557765920205513,1.2348591071878112,1.195100478018442,1.1183961663112427,1.1079068037197994,1.0860501004329897,1.043374080699362,1.0414571147434823,1.037625335547267,1.0248270613650023,1.0419068764572803,1.0435140994919345,1.0117300926064001,1.0944198770176627,1.2006204021386588,1.2490781874103385,1.177078121927176,1.1363319911136502,1.0428485503738614,1.058526698489496,1.1846396173666396,1.5225688567399234,1.4324316770617551,1.4012998398865026,1.4691019655043318,1.3258561686200185,1.4053768309608499,1.401027964371219,1.4016026765733312,1.3671270657256396,1.4020387896502933,1.4746920988146075,1.3451450249517112,1.386480110103388,1.8502855621409564,1.700080845385987,1.441738733923648,1.6280028134954645,1.3112764692610437,1.4738487779961782,1.4452780127988925,1.3562962382670438,1.555188420469165,1.4394063501340046,1.6073516269847254,1.4570245353149065,1.356361378944307,1.3864753450628193,1.3657570589756698,1.1944093997878067,1.185392735834086,1.24619023347673,1.126863972791847,1.1043656426955664,1.1264518910473336,1.263130738883547,1.013416591001745,1.014225632341475,1.018427606640574,1.0483260975824176,1.1424909117917268,1.184609775787115,1.0869442134069902,1.0657916429591463,1.1742444485290566,1.133590397245274,1.0865653937416997,1.1397084979289445,1.2447606626376206,1.2201389986961733,1.1037428312073188,1.248308291909682,1.2601289160209919,1.3942153364333827,1.2660718802192608,1.1578675675833523,1.615383495961202,1.6508723333712236,1.2284129221587547,1.183154616111627,1.0906803790129886,1.0980271289625971,1.2578978098120077,1.09166382386989,1.0620656473950285,1.0998787745657823,1.1126876129495462,1.1358131193961296,1.2213099917129373,1.1898987665436076,1.36754592693108,1.1887882056300816,1.170228483453349,1.6146974089593475,1.229346959376408,1.2183145893900256,1.0937647050719064,1.0952496071876276,1.1189481522938407,1.2069729786700758,1.017424271577423,2.299919635459752,2.5453114209691967,2.9780572773672866],[0.6595177637084478,0.7126516390407827,0.7903323326194363,0.6625875947447162,0.992033450308147,0.7904495551387805,0.8439414137443635,0.8849374503631185,0.820936826418618,0.8527690088097489,0.8419861494325558,0.8671988216350598,0.9469471644504399,0.8729991281911605,1.038818655410802,1.0401899990778634,1.0354742092382645,1.0892540819886478,1.171857621132649,1.2515300917660408,1.3747205705662255,1.4634137634073796,1.60078138171548,1.6671783867829453,1.607938957443677,1.356538193421314,1.2594593885812229,1.15787411642616,1.1216439568660808,1.090387093710749,1.1017679728045429,1.0633889589483803,1.083749196880851,1.1292941590252843,1.1581928394412024,1.183360328915919,1.1615562550290075,1.2829416805970892,1.2798327825152345,1.4622582927188985,1.405768994757563,1.357465919469323,1.402789748491262,1.4975596682498489,1.9829101378594132,1.9719434973022185,2.423742955635214,1.8389547137508415,1.6040350018137786,2.1064776103667837,1.9393118958742535,2.132994850277435,1.8356868904805776,2.034802183943957,2.637385850306459,1.721378978200723,1.6501247914267003,2.3401054318333174,1.9597875467419197,1.7846962838137004,1.5560767722177387,1.4736326273694682,1.4972398714105277,1.5347816782607528,1.4550724904957781,1.4059757700011228,1.4065133890409123,1.2112589045013866,1.177157956336052,1.1637651977682129,1.2513619864404582,1.5738063512415832,1.2339353803565902,1.3451008227178403,1.2012224559337759,1.5459016896242543,1.2694247787465591,1.2798033986947646,1.3277575303136289,1.449730175214432,1.340066248987552,1.5128566892600532,1.4120767835969137,1.507253758959938,1.4009214612374896,1.268751780731689,1.3148142272489003,1.2768784747517112,1.253667259932769,1.2179492241010406,1.2164495764601624,1.4113252453029586,1.269837978981558,1.1518521944144477,1.0688022706426712,1.0935844369688448,1.0976090111744128,1.022174549794842,0.9690949728624738,0.9620075414807279,1.0287119847476978,1.0484618208521708,1.160021860970991,1.1401449680253422,1.3482730898202797,1.1535439326033519,1.2385960668148996,1.3591904811969158,1.1367543403951001,1.1655525345327242,1.0472146898678334,1.0658904679052683,0.9623191949219791,1.0007283367242306,0.9771145048784557,1.0071374405127413,1.0494612265804553,1.0784718991100424,1.1815008618387342,1.0542364854237805,1.0278711148916833,0.9476235382235636,0.9191726424507818,0.8905804366953787,0.8774088406128523,0.9802706985431668,0.9926140141057053,1.0720925738429836,1.1061464727193293,1.1972452572194072,1.1737655608892963,1.2560678838582535,1.3519288717616493,1.3038780168173576,1.284713125408195,1.1805171339398937,1.1804132503259304,1.102107607786396,1.0570768444707495,1.1553143979480043,1.2361576638518381,1.6448011848350965,1.2805218320354288,1.1638913889705542,1.2788304778135953,1.1542070532134012,1.0924934919444038,1.0482047025457055,1.0681270753292746,0.9803606380043378,0.9864664700900299,0.9332693551355264,1.0716480946800895,1.1987536808900747,1.3649913705368186,0.973642090108312,0.9790343503777412,1.0024922425309597,1.0551794601328435,1.1637218103902174,1.226399522694386,1.1777556355189902,1.2163541542835805,1.3255485894976606,1.3835199382319492,1.4289906846256566,1.4823788576621213,1.692215429859572,1.5932770848308961,1.4041992328161907,1.3709549454207932,1.2913416540862157,1.3231347288105233,1.3022231558579558,1.2618268783280147,1.2330251488217394,1.1574895104630327,1.223541822666381,1.2933350137975401,1.3027596045400076,1.36111018660158,1.315310351088316,1.4377234164076378,1.5356722125362783,1.4702233806414142,1.571765487667319,1.6658887254169341,2.029846413506412,2.1832674189684997,2.0808877417031155,2.121101429517669,1.8129130505295983,1.7591110641936654,1.6572689287923847,1.5349950313775278,1.5523559474448676,1.3625295959457018,1.309558348105815,1.1506972020984454,1.1330015850958697,1.0575930345435587,1.0258041635284088,0.9818227379826896,0.9316086988831249,0.9162975818098795,0.9014508118304215,0.8741263477483655,0.8775438194565024,0.8721502124684941,0.8969397623324772,0.915628597358648,0.9198338918016555,0.9042864289414535,1.02376113495212,1.1237064599103161,1.1458001150464567,1.0991756395563093,1.081959933880734,0.9515594488189743,0.9838176167505577,1.0901330464606158,1.3348250682402887,1.325272729309289,1.300447428177356,1.373816680875675,1.1487775565281597,1.215586551510585,1.2241584333716893,1.2838273850542996,1.1986277636233824,1.2436982202605942,1.3597046634749017,1.2103129000209485,1.2248126036223106,1.694354800668941,1.6130295496456166,1.3468569932517818,1.4416401258617861,1.1403373552212523,1.3117620611912304,1.2612943710391902,1.173421289837406,1.3404247868989845,1.223539080570662,1.3891045101403443,1.2535316611104754,1.1713974512748353,1.180517445988997,1.1726551229893118,0.9993278031647613,0.9890800528163386,1.0544756240858206,0.9349957495019497,0.9228414934754033,0.9344649605066184,1.0862398569892253,0.87700070655821,0.8707554855287779,0.8810541711084063,0.8981792443900778,0.9659382005282433,1.0336685440444686,0.9496173932126978,0.9135671526451167,1.009446686379474,1.0098606132236474,0.977872001218802,0.9927953883635168,1.1261490900882853,1.180965625998353,1.010900274408969,1.1414584139765682,1.2309238246288035,1.3608491614879306,1.2079368130001074,1.0565426483899227,1.5666715105103455,1.5742650782223622,1.1949502458268881,1.131783092527424,0.9831023098347184,0.9951513860447513,1.1929283568471443,0.9963561568267129,0.97620488426015,0.9314468510160199,0.9540169746170268,0.9357352765507485,1.0250142266183255,0.9764522202441754,1.1452161379691124,0.9853456894426986,0.9391919351195281,1.461429707141363,1.1099457171901321,0.9891387165081449,0.8714992013467171,0.9075153558082637,0.8606802052378233,1.0754941413780867,0.8511074836514593,2.0971269158667116,2.2677030803210254,2.697317372435296],[0.5925525227511038,0.629133892432998,0.7379483491809103,0.5639019159543776,0.884657866718897,0.6972086755074164,0.7811636473448491,0.8288570692540679,0.7788353787499445,0.8354794474848424,0.8364750827149962,0.8559109380435893,0.9537774490964146,0.8849528864009278,1.070929643443037,1.0775530478434605,1.0826886897573471,1.167738761115868,1.2721211583489063,1.3751705464155812,1.5259133465504477,1.6418998697495302,1.7779224188022011,1.85760146911714,1.7714231830847915,1.499184286581641,1.3772530351600223,1.248845089564059,1.1981845777352553,1.1457046620926061,1.1700769979924757,1.1114712440124,1.1377295549674635,1.2116688171547352,1.2409103431493553,1.275525197664401,1.2331417517479935,1.3861727387911924,1.3892412536527712,1.6015133977916371,1.546594987027212,1.506900567235767,1.5680023986400633,1.667590903364238,2.1274727419469563,2.1016738849603556,2.595967014729238,2.0355090830785083,1.7604774204706142,2.2941339925132427,2.1671960576335763,2.302745208813241,2.059069076822518,2.1974820298200055,2.7347962735974067,1.918924327302537,1.8664871510419463,2.466209376670994,2.0834702142186776,1.9906154217207488,1.7731733217272274,1.672788249048028,1.6700519781290215,1.7362852972685694,1.6507707058405374,1.5680039929139185,1.553436439591942,1.3293679540251824,1.2796962547696398,1.2280214128707065,1.304398014958835,1.6428826713983309,1.3022414074440576,1.4315163850930734,1.297701342134114,1.662516654786331,1.4086930836427707,1.4118180337713646,1.4600588470759914,1.6045914071838236,1.4709432593021747,1.648926876925654,1.4907378158837343,1.6161784738935927,1.5021557382600568,1.3665633751787416,1.4359266903282053,1.3703783274152153,1.3689077511652457,1.3235845789731544,1.3218395922517816,1.518474135422038,1.3543187627769884,1.2245829976181233,1.121519925170681,1.1389798144734484,1.1213366741329458,1.0508110098516514,0.9783921841406771,0.9509859764882826,1.0431316745035175,1.0424950109150308,1.183488380864028,1.1344871904170288,1.3656200147166437,1.1331509479058814,1.2125465209609432,1.3307551999829474,1.0832600990636845,1.115137744109077,0.9821310681496358,1.0268336569953718,0.9198550490581109,0.9775048351144335,0.9798493399848679,1.023090637747315,1.0957533694902033,1.1443692568305284,1.2765902735267962,1.1307879421781168,1.0787048350492254,0.9758923456069053,0.9374825473924517,0.8905677839550544,0.8486641951081291,0.9386686310794229,0.9173620174091147,1.0156357624750458,1.0557500744064674,1.1808204584792963,1.1404201309214521,1.2428783960124727,1.3600314396187472,1.3197087244670098,1.2899746965670753,1.1651039192190336,1.1350846806115626,1.0756193292711935,1.0452210040933878,1.1790814054420706,1.2966435382423176,1.7593719117440023,1.385824228703014,1.2347451993100709,1.3654685912832156,1.223732993061922,1.1360209421308836,1.0640398318435966,1.0649397825903721,0.9548540288684538,0.944895432237225,0.8888084992781813,1.0236631695405707,1.1741547025505719,1.3511454496609148,0.9495920290945781,0.9654262115267529,0.9824930951862425,1.0632090050973362,1.1575204706796896,1.2424979147015147,1.2291234736384817,1.2694984776095435,1.4119463506771939,1.459975489330729,1.4952053946144634,1.5439532066156654,1.7636089197062301,1.6159685768912497,1.4100232725755546,1.381113776897024,1.3126660662345042,1.3695899802906408,1.3518693276452693,1.317917993869982,1.2736251903256692,1.1987733633145083,1.2791716508754012,1.3697985874681156,1.370050699687331,1.4312180866890387,1.3415118317882255,1.4947287645339848,1.6147955107639493,1.5425307387274543,1.6811278595372212,1.7802312129447946,2.190297745018675,2.251529062483357,2.225669533533075,2.2747323082458717,1.9091221113897614,1.8336999959063298,1.7043892294319145,1.5682671860317834,1.5694671634049975,1.3457573407116625,1.2845761927156616,1.1034966568025728,1.0786888016288054,0.9910772343337146,0.9522659724976297,0.9058094374130121,0.8498529758633205,0.8307182497141494,0.8134745438308291,0.791066681218838,0.7939568282040996,0.7879286521157309,0.8256101848979471,0.8592785033298481,0.8683607673044631,0.8592944547493339,1.0008669574117057,1.1209458570011672,1.12774787884011,1.0694205481690406,1.0533955427565453,0.9038864946527008,0.938999741691797,1.0655661761839557,1.269518399026758,1.258835931114735,1.2453018678338845,1.333139335428995,1.0871353599850224,1.148646424217405,1.177794658436602,1.244089592023392,1.1383941947308074,1.214652463838216,1.3672962998464715,1.1893179831612357,1.196753063755217,1.6800891525840076,1.637237653842672,1.3292558506695522,1.4017753413411822,1.0985927382143312,1.2909676525368796,1.2295156848708242,1.1160456020826008,1.2846056951348501,1.1584926178980117,1.3200945204977244,1.1830271891911937,1.0908564406786065,1.0963397982274163,1.0951010183469796,0.9077712371097154,0.8948213653909742,0.9693134737711459,0.84267419148925,0.8322182526515152,0.847919409575187,1.0191745979734599,0.8132970685806596,0.8019936661514492,0.818511805219722,0.8260645361896839,0.8814973820973043,0.968823986440071,0.8775080806857207,0.837860890878966,0.9358501259268917,0.9507007312690029,0.9199379371201502,0.9261418519222281,1.0842856138884913,1.1810777664383783,0.9652927382540586,1.0998830222407923,1.2272842014400362,1.3635966512798565,1.1819274665864488,1.0004063579202636,1.5329001235490631,1.5031326333518324,1.1924653737746205,1.0989144476439063,0.9271563339459723,0.9477999332258735,1.154777884935438,0.9350033265970734,0.9169285265123587,0.8385266812259371,0.877819713853262,0.8495174112785877,0.9601555863894689,0.9019729191761905,1.0345578339289174,0.9104650222378714,0.841403344344509,1.406250682911348,1.0531971718479212,0.8828397824912665,0.77340311600961,0.8349244106593847,0.7602851655541891,1.0185159472303666,0.770907189528418,1.974652901381609,2.1504024702581876,2.5796851606028737],[0.5866996496746752,0.6088641027092087,0.7240420551174289,0.4936065912495862,0.757164677274145,0.5829777068705158,0.6465484782773548,0.6738290221155719,0.6258756475409604,0.6658513933900561,0.6663922926333707,0.6828290949179718,0.7613980523680188,0.7094893301421998,0.8840196661405616,0.8648130451577764,0.8702873988546505,0.9571526120404533,1.0743105666352915,1.1433535163614192,1.2973785661385757,1.398109597957943,1.5671053972319315,1.6480454681318173,1.554376946202615,1.2763824918778022,1.1443792626527618,1.0190897581387335,0.9731156363928736,0.9125579775504872,0.9601830808660384,0.8798787822589966,0.9057485679986131,0.9780043957762183,0.9977378179918115,1.040228304462926,0.9835372136743393,1.139389835257841,1.1293059893922621,1.3264087080982883,1.2906401245602337,1.2624816778126524,1.3345099419717106,1.4542356150277473,1.971355891956656,1.9623733208430354,2.436978337710017,1.814375198076629,1.5337003931569926,2.0452702084580663,1.8923745582188165,2.038004023103877,1.8026299918340631,1.956958387893245,2.6097906817997334,1.6815968406819812,1.6067552643692438,2.3071922109315928,1.9188205218364909,1.7339955823575455,1.5009782041796478,1.414261419923803,1.4160392426041437,1.492193924637584,1.4060883168375993,1.3197469103287363,1.3307462849680982,1.1036148562879269,1.097129839428696,1.0493680350027927,1.1450872900766818,1.4882261623363855,1.1312154904682443,1.2855994310093337,1.0997274614956345,1.458856270706196,1.166782781609969,1.1644031035039093,1.2083193837538546,1.337324835593001,1.1877831142421835,1.3509577406165887,1.244289601462554,1.3651899954158744,1.2345687432124286,1.0962122423239855,1.1656365261587298,1.1119358253470153,1.128472395339863,1.085061311771755,1.092504588846377,1.3072454971339857,1.1538833876811494,1.0094341033502416,0.915339015019617,0.959224001338935,0.9566237042608841,0.8361183085777822,0.766474907650863,0.7561747257705735,0.8165094731563836,0.8328799124393881,0.940591715011428,0.9150961061406043,1.1500963028281355,0.9196416363434128,1.006658496633336,1.1376382133581768,0.8917631464789267,0.921178633379982,0.8063615837957354,0.8229558784011246,0.7302955046452434,0.7721358483941079,0.7773190707058928,0.828957458735207,0.9020089572317913,0.9538998823699917,1.1048336096652775,0.9368596016055389,0.9118764391072639,0.8160317409703061,0.788042730009548,0.7164490265233528,0.6801845784758253,0.7456351440354442,0.7729620852188493,0.8270071037381431,0.8718976673681256,0.9680862466941355,0.9475018167175047,1.035163377933264,1.1227407447914584,1.0719221785075213,1.0549219370123797,0.9380825274622323,0.9502537672617332,0.8859809024242854,0.8678983913288624,0.9720514783172699,1.1209568284249398,1.5432471943514208,1.1566301309465576,1.00979567243135,1.1229096183668983,0.9763707574369485,0.9007540010880791,0.8359528969597942,0.840495806203408,0.7632286056866873,0.7516239555767904,0.715556221076599,0.8783268940085359,1.0848336338391662,1.190523753316676,0.7497152633982717,0.753341967003338,0.7704514214007654,0.8386072054475079,0.9400046176192436,1.0018987253259861,0.9812548643676701,1.02149660338677,1.1462488230208403,1.1911448034834844,1.2583521462962424,1.2951734304102995,1.5248459632560902,1.4054258845711831,1.1984075473429245,1.1480979885580787,1.0789947440903425,1.1147901842920365,1.0837157752599602,1.0505361290062392,1.0204917961488091,0.947029091552874,1.0162891205454179,1.099396779431898,1.112431754087081,1.1493736200562232,1.0840649971557663,1.2414982991388788,1.3607543281764016,1.2803228201549275,1.3975051624596748,1.506062510389996,1.891483463681818,2.079940175708296,1.9622151644113137,2.017565309212798,1.654967176083793,1.5803589933401514,1.4859005867610349,1.3490844293940836,1.3920281541416006,1.1805877980391528,1.1218702439539987,0.9657371827912582,0.9259520227577426,0.8549094233289042,0.8057644312259515,0.7593853127209972,0.7383388041290507,0.7248091067947429,0.7201030005571354,0.7313823161746388,0.7387912493442612,0.7282893178429604,0.7952969443211174,0.854075307160981,0.8699155478440199,0.8581879257173545,1.0205393499530555,1.1467287676303128,1.143424907810117,1.0897493670246805,1.0658006380777498,0.8964146989379417,0.9308030119538463,1.0541257717705403,1.2468385860644706,1.2095864929142333,1.1948605246311093,1.2919495257432054,0.9898476872157504,1.0268408866420449,1.0612761001566235,1.1374017252094328,1.0162950405576348,1.0989891658462903,1.2771182386580777,1.0997025606313986,1.0819961713191693,1.537549198295076,1.5568496696991023,1.262300742047275,1.2797837400700334,0.9839468561233983,1.1624374653590575,1.080610802563093,0.9690608817656705,1.1114019270415911,1.0120498042538444,1.1403770628160597,1.0184396661453066,0.9463714689765939,0.9346053603351164,0.9401876724851019,0.7835983756056777,0.7823633381576316,0.8720896959874888,0.7589029803638412,0.759170731188902,0.786155200876263,0.9831454160318598,0.7923716013641313,0.7754209099358843,0.7894903983463106,0.7680604341033217,0.7885587551556854,0.8874521067906757,0.8231313840303581,0.7788937598076132,0.8423420958722424,0.8832105039961707,0.8702100417594202,0.8414154746638474,0.9973848734603411,1.1481446179360062,0.9169827874366064,1.0332179208225005,1.1835790118739946,1.332972323877757,1.1456160296520435,0.973141971353624,1.5049249002672194,1.4829366595857005,1.2030834892390532,1.1041684778080625,0.9158531278180679,0.9443725925228619,1.1574390065174558,0.9133067546010301,0.8954239349217673,0.7642616668621193,0.7917076638496524,0.7407738999432207,0.8196105864796888,0.759614594513399,0.8969829277136031,0.7803893016040732,0.6968204624979158,1.279151212501264,0.9642881129351778,0.7697104342664176,0.6424063992958743,0.715744650871635,0.6710456437759742,1.0232948264010457,0.7035159534554841,1.7808906952307382,1.9452787473864528,2.3918068839886235],[0.592887103637808,0.5954692968191025,0.6910236706297036,0.4465300138756767,0.6754208322317697,0.5022020436895287,0.5437782875671501,0.5607004222784951,0.5382270583531337,0.5775857805061136,0.586997328788962,0.5964315842662231,0.6739902495561332,0.6421420679534906,0.8235888358150566,0.7958764016876512,0.8139362971572982,0.9228924455287923,1.0628349141736133,1.1355789872706068,1.3124607246345619,1.4155588519027449,1.5857692960393615,1.6736016316478364,1.5819273410087042,1.3006774507702172,1.1399011895285762,0.9932063228204091,0.9300452952131997,0.8486589290647599,0.9094108203971257,0.8077907224675223,0.8337007831726481,0.9219012516372008,0.9404530813962182,0.9975377782664477,0.9203666166249265,1.1011318706934858,1.0925199059847506,1.2928208514554411,1.276862514434963,1.259989171600801,1.3374951271091444,1.4641057507749686,1.9955145673169201,1.9883986100294928,2.472409541247209,1.8451391123764356,1.5450997629049346,2.0709371421167155,1.916698821258392,2.0725310197809197,1.8094129933007896,1.9426470908241558,2.58070872034889,1.6743149259013794,1.613956970973874,2.2591588224800243,1.8980145490297922,1.7658984350119753,1.5283887800169678,1.4268637568513642,1.4183716619029423,1.5202712140328272,1.442059033527286,1.3308135565724108,1.3518911635637874,1.0948586148377155,1.0992402279570606,1.0352600346216734,1.1412319320173685,1.4615027373851885,1.1393663052999938,1.300451766721509,1.08117266764208,1.4739889302113425,1.1601633259875468,1.1445643842574316,1.1818717767258304,1.315544629251435,1.1417892615769583,1.3071114812535438,1.1982865511829446,1.2930611212026883,1.1819839880923138,1.036618109033774,1.1308781008999844,1.0625830040140936,1.0963115683324194,1.0383355417240743,1.0579114946314008,1.295721770050638,1.1194549593303087,0.9559467799418101,0.8548564882312029,0.9128691743806163,0.9076812040792185,0.7678043139040401,0.6722927616909478,0.6780792201609711,0.7139608775175342,0.717743134564611,0.8294694315888028,0.7856421716547008,1.0335165028192201,0.7920710483718084,0.8616411742354213,1.005450758706458,0.7626384064626851,0.7922015347909421,0.6728584114259684,0.7076909268222297,0.61849982360907,0.6852837905581115,0.7119661609074203,0.7735039716363079,0.8641285030637907,0.9453870727650932,1.116311015068642,0.9119583244910379,0.8799726447628697,0.7630008553230156,0.7393964773420609,0.659326228222645,0.6111066044345442,0.6554315180244183,0.645036117561648,0.7132528860819929,0.7525754439430129,0.8573400577326578,0.8404828497580072,0.9177815109814734,1.011606196336741,0.9573695300922399,0.9501205572847017,0.844216570879031,0.8600865614735205,0.824266951133299,0.8140511115690968,0.9143688010105021,1.1184045108361897,1.5782703215790652,1.1583830297476172,0.9864588323379745,1.0985783256741588,0.9287559308435348,0.8469290046012747,0.7649093612221407,0.7408052452337288,0.6522441298224763,0.6340619885383673,0.6012460782299994,0.7641573650748641,1.1034819120426707,1.227832685692107,0.6517266946319841,0.6503858267382286,0.6428448777810636,0.7356910994040754,0.8177519212072806,0.912316225908595,0.9120293022835873,0.9618239349841096,1.0916772404338508,1.1393953668943424,1.2151988801456055,1.2301874893297424,1.475230483499214,1.3320578157810774,1.138532110656526,1.0663162439850284,1.005215930629858,1.03768987417634,1.0002341721817165,0.9643356738817731,0.9201845985727392,0.859270257041386,0.917453985364718,1.015533838474976,1.0190143356822519,1.0701114959858689,0.974621192071587,1.1403431748308799,1.2699146479569041,1.1979707786804603,1.3413850484835945,1.4755645818187488,1.87461089958895,2.0910369468503895,1.9407753040917837,1.9853515133026416,1.603218327606887,1.5133978016543714,1.4119112661056412,1.2606663378953082,1.301952203109183,1.1011296036715041,1.0348265465272315,0.8786483713948919,0.8339512056294857,0.7513226605792417,0.6878645620880185,0.6465895760446253,0.6552080476210177,0.6456813101260005,0.6388119559358143,0.6770607376257449,0.7045761033985939,0.6931290599889677,0.7761760053304602,0.8602075496590866,0.8988143802103655,0.892540256053584,1.06241114508086,1.2200743265071294,1.1822104563501563,1.1482412729972937,1.0974905672099644,0.9241334434576939,0.9649310771859831,1.1005658517204002,1.2907216555942773,1.1970574107027345,1.16684554366607,1.3027320411732224,0.9406519979499602,0.9267210339029683,0.9767122163580702,1.0615274868688367,0.9120341874231718,1.0352196184756393,1.2616164137274806,1.0938461630763179,1.0293952879488941,1.436125050417858,1.5321396252746347,1.2448070081471203,1.2123426930670986,0.9039088924464386,1.0825481570757802,0.9760050766951603,0.8531246587243764,0.9790124090938045,0.887543361333902,0.9953413023384305,0.88495834787163,0.8270284390010026,0.7956416292729518,0.8083982099004561,0.6703035092385907,0.681435065545407,0.7805582170891973,0.6885073050830065,0.7057608008806361,0.7558959082149879,0.9732358158167942,0.8186056159536464,0.8059797244379722,0.8045504828984307,0.7376408662946868,0.7166181387588774,0.831892568036934,0.7995953115635338,0.7478535296989454,0.7750747637325529,0.8588472323252532,0.8632864955499553,0.7882225589446054,0.9548742311308221,1.1850271168995588,0.9098097939757882,1.00956470941032,1.2059656544608328,1.3633126384947247,1.1611640303923974,0.9691026987910861,1.453824949771095,1.3973323406062093,1.2238660591877166,1.1023507710279448,0.900690387986551,0.9327563980750669,1.1137174602927085,0.8570207476831794,0.8763533091877521,0.6939837345770744,0.722226559240423,0.650074995815829,0.7280560927431897,0.6560447085130772,0.7940721078645412,0.7087799484634503,0.5995489915099242,1.2461482255736351,0.9004008853894286,0.6677470357269663,0.5397786301403181,0.6209696216747248,0.597206392826126,0.9794489025665201,0.725506250473898,1.5769310398309404,1.8244035401605063,2.244895694910799],[0.6698022381997317,0.6600593177363048,0.7285613960257423,0.49826373252909334,0.6579524387477668,0.49502597970206236,0.4753409776335099,0.4763462808905659,0.4873853368885264,0.4981431666802191,0.5193146967952535,0.523544823275996,0.5687711044616144,0.5604319011919042,0.72331005805349,0.6797831543590611,0.7102621694817776,0.8087144650266354,0.9627323406597007,1.0147880272205376,1.1877801396113647,1.2744500909611711,1.455550934194294,1.541404756948718,1.4706559578240208,1.1963338006277247,1.0294969281117439,0.8764326674464425,0.8073579997609782,0.7236596411396319,0.7880041131070478,0.6763355956472649,0.7025904519692998,0.7909109413355627,0.7997327377040974,0.8649514632528967,0.7799951839490742,0.9613144609108853,0.9486057361503333,1.125657461287826,1.1441734347972623,1.1202122418590121,1.1817769611374047,1.3205583932444298,1.8885224641837808,1.9222320537258248,2.376733029364149,1.6990086790627512,1.4272179246269923,1.9448725407735576,1.7497921105317404,1.9899665695964568,1.6299585450367384,1.767760955420833,2.460987455305191,1.488484612925154,1.4185575390973675,2.07348089178977,1.763894741441187,1.609122293221741,1.3600776160879537,1.2638863259831041,1.2612417383812784,1.354283662439722,1.3026553348378873,1.1936748825790124,1.2357251587302691,0.9735731187013773,1.0066964069613544,0.9541101987443401,1.0808923822442322,1.3734281044083116,1.0712334143594398,1.2380336089367852,0.9732781663031712,1.354487855500353,1.0265907687642863,1.0034526645167656,1.032514294777352,1.1568686802052046,0.9649367298497116,1.1412976898278426,1.0688970280565073,1.1046905500660011,1.0166293827166422,0.874130433524333,0.9764606316258246,0.9168080235022075,0.9563474380992772,0.8939326998493149,0.9249480976176027,1.1783041825535743,1.001259431899405,0.827973021853362,0.7389036395884472,0.8195898634530736,0.8274712135208316,0.668957758919134,0.566783916809748,0.6317558905668902,0.5736889071905068,0.6135356753496862,0.6675413891512355,0.6469088376899285,0.8811447673435487,0.6612648740087512,0.7186267044551716,0.8778807512682893,0.6729415635353675,0.6861719838353975,0.5745481092901717,0.6012619486180902,0.5172927200079772,0.5864291131501691,0.6090680489529381,0.6757339406768776,0.771856058501416,0.871429189411796,1.0600722493189483,0.8146327825077273,0.7958997362005259,0.6860299123633106,0.6716949709190891,0.5874631343873278,0.5381188498799703,0.5652691150685103,0.5528099131278519,0.6127106151484641,0.6650073693171926,0.7554922122916002,0.7633017529744124,0.8090383479694163,0.8799474058149361,0.8142145536212887,0.8215452018349804,0.7310666077573458,0.7739694283122232,0.7517762471794602,0.7370968489656201,0.8103365867642325,1.049458745528305,1.485711324708125,1.0620773182208612,0.8898248682011409,0.979162570146144,0.7986861873706929,0.7328085678141588,0.6551714741309199,0.6054970716804146,0.5329574167242387,0.5356645774547331,0.5131753291177396,0.6806618311765743,1.1405842078307487,1.2512809262879536,0.567550300620089,0.5454034365887914,0.5123841477463685,0.6038880059404415,0.6738419273188303,0.7768447323316232,0.7679995973777795,0.8257411511530409,0.9365276456713675,0.9872258758433656,1.08766677982246,1.0882050947484967,1.3516749110728168,1.2210782704999599,1.0455177698651046,0.9426066247343344,0.8761016808404869,0.8877546960112135,0.8405544168262773,0.8000075481270763,0.757584204881023,0.7043959491882312,0.7490134747080474,0.8401912879595604,0.8403787185845827,0.8976015256569007,0.810803278065244,0.9612885951658442,1.0952382439361859,1.0376977601028496,1.1761398094872233,1.3350641746331984,1.6786238089130578,2.0374113006202803,1.7453956209092056,1.7770549784979552,1.4361381811370464,1.3562820065792895,1.2748822247356957,1.1327840763157548,1.2075553067854705,1.034375811353081,0.9666385656731603,0.8421743356338652,0.8046098148814311,0.7177753521263757,0.659697349264045,0.6228644894089136,0.6534049464904969,0.6595583123449499,0.6522565712559643,0.6992618876030117,0.7420378226961942,0.7410978207847404,0.8180251917475944,0.9087745385353618,0.9629923012646927,0.9556436418814237,1.1083613313169218,1.2733115116120182,1.220221880037375,1.2052131316778238,1.1353097303671398,0.9811979149313946,1.0193855691964786,1.1537603309550852,1.3385755801677852,1.2187500685103028,1.204556868628677,1.3332628520912877,0.9366541725293617,0.8898557181739062,0.930420303440079,1.043701308284156,0.8690251874635114,1.0051624707567706,1.2633245784446339,1.1364898853725507,1.0252289790071387,1.3434289821833876,1.4998937964293817,1.250980495519763,1.1936063656875282,0.8847083861189609,1.019362516164713,0.9080650416493942,0.7989738444274395,0.9237191143909641,0.8353318803451671,0.9351546291997741,0.8294637433499245,0.7967909807914952,0.7554770101821627,0.7677503474724909,0.6617983809973761,0.693034865448821,0.7902383204989515,0.7150212404737936,0.7516145290491955,0.8198749266093175,1.0322807502356952,0.8944253000763812,0.883368692678803,0.8743809849066974,0.7900868005626486,0.7196677677193664,0.8433707619274103,0.8465412304386056,0.788830209199486,0.7819123527587469,0.8832473761033189,0.9047231457429756,0.8009946565317994,0.9438717781142714,1.2185969928885503,0.9325480220487261,1.0081250682711573,1.1912408055535135,1.3654558674673267,1.1763544383180367,0.9974007039957656,1.4084973268076584,1.3762902287553938,1.2396285873552804,1.114892558470149,0.9319921005541434,0.952498343236941,1.099482157144414,0.8524727945575205,0.9099907376645747,0.7084645095163412,0.7419765305853203,0.6408133777667138,0.7024989247688098,0.6076767801366009,0.7580718817988493,0.7108254031304992,0.5965375504070758,1.2725735260184956,0.8776302955292159,0.6579411811128727,0.5465255734349387,0.5850983675698378,0.6239070156283107,0.9944733906093559,0.8083041321466671,1.4575920487723313,1.7457070429326307,2.157949686356039],[0.7449142768129503,0.7285376166551787,0.8519181569339886,0.5236366091588477,0.6092888466804587,0.4827242122174233,0.4619876142321396,0.4617023513655216,0.4890409831554622,0.4737172497043776,0.4999090846368638,0.5023786681643434,0.5330942128758683,0.5409766757095549,0.7001534130476913,0.645681402526056,0.6799992447077918,0.785185184380299,0.9538867194418384,0.988352184628768,1.1817331762257404,1.265293296141092,1.4624703548730371,1.5600130103509122,1.4577085815291857,1.1804989221797872,0.9905348097918731,0.8380606617949482,0.7681316963874247,0.6673442959173441,0.7612317617860791,0.6236893897403488,0.6584580135150689,0.7485150070962638,0.7540964030025955,0.825956637401874,0.7266173881557367,0.9259149961851778,0.8971172268246881,1.0781037340958102,1.103730776143445,1.0935471668348047,1.1642478334160276,1.3113071655035657,1.8833065984732735,1.9055403164590818,2.377330089732891,1.6946095260941474,1.3936116846219384,1.9168864224152549,1.73965376057413,1.9303246122324673,1.6331941496347253,1.7507324230681949,2.465111595729367,1.4897595214501491,1.4169309801395518,2.0896225484468083,1.758041324754875,1.5978002930841806,1.349316048243156,1.2579771779825513,1.253278252651665,1.3660804401582243,1.2986627837893525,1.176695727859194,1.2366186957175738,0.9608074364823718,1.0049942656084974,0.9492891034833038,1.095770023795187,1.393417989879791,1.0814647698638329,1.2436574421444917,0.9676359562221416,1.3537188808495455,1.01411532195878,0.9867424633225975,1.0082143172337228,1.1298726928368716,0.9150359511660131,1.08318733157829,1.023503236261451,1.0576995964848952,0.9596871712463179,0.8175616741857152,0.9280206075670554,0.8560192223182632,0.9243514670985818,0.8688682405886672,0.8992003014054587,1.1686602663815913,0.987178220271375,0.7981787102953788,0.7119846623206303,0.8065663498492299,0.810781319029958,0.6310373404103419,0.5379141416458841,0.6211135208219605,0.5247933671152775,0.5758356954487697,0.5995638992810404,0.6036267065380475,0.8577376308077304,0.6338740609591189,0.7115368049499922,0.8731847377009595,0.6721612533574546,0.6423084891531751,0.5522191588860559,0.5493308994019731,0.46535587930529987,0.5294239232112541,0.5682980683510149,0.637267243671949,0.7400713751901562,0.8406920127837888,1.0552279870048733,0.7948343058542545,0.7856448556440254,0.6729151877515986,0.6583426119528948,0.5579129307221153,0.49817997057655045,0.5034158434620816,0.5180731546900373,0.5609499601065224,0.6475356395198579,0.7213531196826429,0.7592825752880252,0.8146890196125541,0.8481232626418849,0.7784241668499899,0.7803749938317243,0.6784279615103043,0.7429436766326438,0.711852033859433,0.7038655276983334,0.7577236601425312,1.0095820913216726,1.4485753177678236,1.0236055837190003,0.8381428925350645,0.9253584193985613,0.7444578040323203,0.672789559028343,0.5922492517944032,0.5405759809878408,0.4860199110025527,0.5121515079615552,0.4883775409992506,0.6718670339702255,1.128048536396766,1.2367069453327502,0.538960255057916,0.5072196352061551,0.4666599001887665,0.5471738371972165,0.6158594192901395,0.7097678728917141,0.7045268340532392,0.76538452973124,0.8831284894853125,0.9408863710042588,1.0598709976505676,1.0507871558817743,1.3167446994673075,1.1753152984115673,0.9955790303401372,0.8894765783894943,0.825016993500635,0.836519241792269,0.7840772085746919,0.7378496744792499,0.7053810040381616,0.6457692156696855,0.6971718036196163,0.7874275926711736,0.7927030489416246,0.8415875327624746,0.761627890128883,0.9376657447808996,1.0721750573063393,0.9945750829134313,1.1249250663183186,1.2738546720921953,1.636878584031599,1.977028893330755,1.7242499969548946,1.7789132269476864,1.390327065370986,1.314156784027495,1.2371672800021483,1.1057068918145354,1.203256025977764,1.0343724819820865,0.9988308561089898,0.9071994094638539,0.8495685341607304,0.8149679932066896,0.7402747987068714,0.6928114449431662,0.7661852190644403,0.7923526295703971,0.7612036135290923,0.8103792721767419,0.8820727362680768,0.880562636843773,0.9334167164903602,1.0321701257875444,1.1008997218636323,1.0756177055037865,1.218892321476234,1.4013849726045828,1.3306899284048095,1.3781140670033005,1.3064786975994516,1.1446805998006344,1.2050905621772523,1.3428318755073376,1.4852965749469542,1.3913553828322551,1.340140794027824,1.4766124938549292,1.098571985600245,1.001103486387721,1.0759945924143748,1.1799372358007247,1.0010500376451785,1.1327172921243058,1.4223228543037323,1.291734164598915,1.1535833041596009,1.404560580009362,1.615413396654308,1.3792202595757022,1.2486538499814368,0.9851910310374807,1.0935761696454014,0.9884872287708949,0.8892984996777146,0.9532661347346254,0.9274919396329476,0.9458976747082957,0.8814737954725357,0.8881326379939883,0.810749508465126,0.8157739951859596,0.7616818768777254,0.7989178758298341,0.8678724451134578,0.8275873994526335,0.8944533651003566,0.9487570053708017,1.1367602175336842,1.0558955364588865,1.059995180321463,1.0557625086948328,0.9741889185156681,0.8832647109692172,1.0121470215761017,1.0321243109829699,0.9569968417564045,0.9461649292072828,1.0689931322710522,1.0820234498434345,0.953087996393932,1.1178681403597843,1.3991041492600473,1.0939442009370135,1.1487542716502888,1.3805474518621432,1.5357977758033605,1.341605384066062,1.1534962117418746,1.549268361623231,1.4706975552480681,1.4167788564854764,1.2480675527620495,1.0607392051815796,1.0567976812601831,1.1922982316827537,0.9578009338798099,1.026914993237868,0.8019320847675223,0.8623025973669849,0.7055123409131653,0.7539846108511584,0.6249250450319874,0.7416899062785616,0.7852869522706143,0.6544348640701355,1.2671540148892981,0.9550522489593453,0.6979493358397251,0.604483772187087,0.6136476891456587,0.6484867154457308,1.059480232127407,0.9089698942874509,1.3024259506409213,1.7577929177631877,2.188321828184877],[0.6332060220003966,0.6279552388459637,0.7497346743777503,0.4339199922656259,0.6031214201264725,0.46425746837114745,0.47911223238606104,0.4878868193022218,0.49214677821262454,0.4963077321018175,0.5011899493376553,0.5147576277472817,0.5750434913249947,0.5476431808367278,0.7292470083298302,0.6930291793180609,0.7033121722557976,0.8172656156572841,0.9739818294146356,1.0141854656637075,1.1925080014304152,1.2864493767965046,1.494483255206487,1.5908504166834208,1.4676927197992018,1.1751900754837805,1.0200047734975608,0.871459136730722,0.8137001667452598,0.7275673204453589,0.7994094812157663,0.693690056451345,0.7207300008179087,0.7993731418348285,0.8193202630387055,0.8799008811652642,0.7977361112890119,0.9847428216907211,0.9637135039115935,1.1647912666957585,1.161834198472761,1.149471211862117,1.2460614871509483,1.3889741336982768,1.9458011931385923,1.9476234122408873,2.4186445665256198,1.7652088802541848,1.4460552911867952,1.9529319529570743,1.8040729863974312,1.9184357563795327,1.726663638666896,1.8514500030244707,2.5642820683921075,1.6012609923163967,1.5209000421513368,2.2358788286859994,1.8571620843884884,1.6525296184701215,1.3944550524536075,1.3047064378443072,1.2958983143407483,1.4065366390332235,1.3123768593509118,1.205727533875649,1.2324926851346802,0.983139252513492,1.0046228672599524,0.9436104654503233,1.0737999288327083,1.3828790425607103,1.05459813473533,1.2277049739150525,0.984526952489379,1.3603823641107275,1.040524311553893,1.0216478886560416,1.0584418158815503,1.188947627830414,1.0127759492997879,1.1654740552198846,1.0852506708486762,1.199754206873593,1.0552992110634876,0.9120272125938974,0.997039249972245,0.939499880011429,0.974837887154276,0.926852584021435,0.9370070032350951,1.1809971993520292,1.011975157717289,0.8443289132624755,0.7470698176586515,0.8185578834898252,0.8310925420202784,0.6706167829257301,0.575835799758841,0.6048047387215474,0.6154527621763113,0.6351337020802735,0.7138286492618857,0.6966405029246276,0.9560664387781374,0.7215300466495502,0.7927562222838666,0.942199621444399,0.7097451570308526,0.7112404340928431,0.6154818568695958,0.622870812133147,0.5212728088636199,0.5884290546149878,0.5995780698417862,0.6591468153117035,0.7572990493935722,0.8400398840408391,1.0204709963899294,0.8036610320771638,0.790682163692546,0.674085034331831,0.6578174898726895,0.5636999001380466,0.5198691855262252,0.5491493473451668,0.5978675932819453,0.6251756961505273,0.692104356748651,0.7933944347969112,0.8036821775105987,0.8847586334319963,0.935691014253047,0.8760304536734279,0.8637682857821373,0.7495064676792492,0.7894265573002576,0.7419609471333103,0.7450289237764158,0.8151903732809043,1.0173948566709674,1.4394413851758452,1.0237758874467144,0.8640506200175087,0.9812650045216881,0.8035972509161833,0.7281473103388906,0.6582467939899219,0.6276662000232895,0.5553263995132166,0.5633081246549099,0.5168403361534751,0.7021796957515177,1.045117539590297,1.146953752502144,0.5672981603392108,0.5618407756277866,0.55183878237813,0.6250709974507238,0.7172692242162987,0.7940399437574764,0.7926167795819734,0.8413075400432656,0.9618253854823088,1.0143275092409396,1.123535333454904,1.1338174950146263,1.376741844175653,1.2352531463791103,1.0402751035164284,0.9621428723025179,0.8996696829099043,0.9276257474752946,0.8806095682713571,0.8453390112679908,0.8154438719871778,0.7495463354190756,0.8111707101718061,0.9044736177502152,0.9145186324165158,0.9457775570206506,0.876886365774595,1.0591186647580864,1.1833027515516807,1.093119817036443,1.2148179791844147,1.3388076188970932,1.717083448672539,1.9726720466628793,1.8064715641616422,1.881534743496717,1.4652068497494488,1.4052090392716448,1.3321175862195143,1.201909018314256,1.2692391910518575,1.093048937547541,1.0352663959611554,0.9000841728548341,0.8390792608087927,0.7820259218148529,0.7022583597463145,0.6535116486915856,0.6892923586215888,0.6946651391430226,0.6683251514801269,0.7165578585181985,0.7692087447490316,0.7522454140663918,0.8202688294459455,0.9227606082571097,0.9681934382701782,0.9431854894002552,1.118595674229453,1.2834873415487846,1.2423975820369806,1.2251559179086065,1.1858083033295745,1.0134885289148754,1.0661486382601109,1.1974328616322119,1.363138819264521,1.2780774283313023,1.238592664603073,1.3907611406324079,1.0316776339136777,0.9702106171061193,1.0453070667728181,1.1288252753988528,0.9595992594040396,1.0980011992719891,1.3660650927288314,1.1820419938807492,1.0943086256297556,1.4591871725111072,1.589071254486751,1.313352452922096,1.233080426198476,0.9527802183506842,1.1137045904525245,1.0084243367297816,0.8770657802280084,0.9515339368521772,0.9085975165114616,0.9458081245534385,0.864830347137369,0.8628772416369168,0.7760312839575602,0.7846053159398874,0.6921843609673309,0.7042993719178191,0.7852891641602899,0.7173572841453363,0.7627572287456447,0.7953630457213614,1.0024097925843483,0.8879109740359229,0.8790594388273493,0.8873663420248642,0.8224205105861248,0.7922184608392602,0.918906628213117,0.8968893289805929,0.8294385694896698,0.8551819580392775,0.9577924692303784,0.9573478926551313,0.8560502419160104,1.0375461261866306,1.2753612013047961,0.9837282197032506,1.0689019464241845,1.2844642531718604,1.4283399798470713,1.2242699257979235,1.0387373725947846,1.5044259335616001,1.431684794052025,1.3244035735406345,1.1727424453241684,0.962558238623899,0.9881130291100731,1.172751335789995,0.9149700954599439,0.9372931993905053,0.7247683787427327,0.7610375941751075,0.640051194079477,0.7323702676822867,0.6171352980914868,0.7354659447370195,0.7094890612239219,0.5856515978454775,1.1606620255218125,0.9136298137679524,0.6696751365867619,0.5399948174210544,0.5993504678786753,0.5928512958223728,1.0770716563907439,0.7882637449299327,1.3529736558522978,1.7670304165998867,2.212744052896656],[0.5952825711950226,0.594446257702861,0.7223367031699508,0.41650257684591285,0.5885945839949693,0.46181630948520563,0.47890454699469986,0.4861379943644623,0.48180830767578225,0.4694424439322691,0.4737427825315345,0.48407549857485943,0.5299554067859089,0.4994370254273705,0.6547715103770151,0.6115646003802613,0.6188283425394766,0.7064567636973936,0.8490561277478126,0.8561421999292702,1.0087407433222013,1.0860491877309444,1.2892296839312178,1.3732586216823925,1.2812793226370291,1.0066170161070154,0.8752431784492889,0.7451818448433167,0.7056287954054212,0.6250841646982455,0.6968638249410869,0.5918309407586918,0.618996206737746,0.6713379374161172,0.6895880843159621,0.7477199460286754,0.6799739573486656,0.8485403868271474,0.8182792855891982,0.9730599607199863,1.0049736130614642,0.9771444327950879,1.0507691588527819,1.2030831190131925,1.7967206863718848,1.8564546473649197,2.268321606071292,1.5525229515256218,1.290397672152758,1.7727307516603914,1.565908235027632,1.7891176501375194,1.4919397837682096,1.619322584953291,2.43023666688717,1.3757483806271724,1.264664648549314,2.052753924129583,1.725446203646988,1.4458152903003298,1.1582296478136045,1.084157189614949,1.0880997209166317,1.1623169605689674,1.0982699300177021,1.017969112520867,1.050358869154479,0.8298740594090748,0.873206158749939,0.8436783289625999,1.0021871083827152,1.2827293645644238,0.9569132388297246,1.132136812253782,0.8513781024676497,1.196676129826096,0.8771642015058387,0.8577564817746047,0.892519673833376,1.003296776910876,0.8412883313577302,0.9825278488764799,0.9859043144817667,1.0347188655790416,0.9081839371404185,0.7723754916120682,0.8305576707484347,0.7915058979836701,0.8297579861625267,0.7911523821372727,0.796291622485438,1.0497568578892114,0.8961399646749646,0.7338309685378717,0.6607594665381902,0.7458589295781772,0.7720337890957655,0.6000304908158112,0.5163646567842586,0.570442369422565,0.5395328389810776,0.5881124464759958,0.6164050635390071,0.6343151334089141,0.8912408588159807,0.6708756740858703,0.7370630531008389,0.8891870156411638,0.6801124166543925,0.6791636760254721,0.5868287393338915,0.5747148297119907,0.48380018917160067,0.528950458667769,0.5415568001199667,0.59621737287592,0.6754809694880999,0.7453504884591738,0.9101623422067414,0.704380524429381,0.7171999479970117,0.6215922259080091,0.6155157082346497,0.5105017886062772,0.47877575555169616,0.4959338586388992,0.5665012267307806,0.5825361270760404,0.658757394950099,0.7443253250511357,0.765427537284183,0.822607592060373,0.8630491670391284,0.7972981056913397,0.7941615618926505,0.6906686249087997,0.7547205047788845,0.7034932942326703,0.7064542978438916,0.74266017286034,0.9410298478474877,1.28853968346042,0.8907748243873262,0.7570524323320236,0.8485344225237739,0.6850251543333613,0.6311860410466148,0.5780273275008128,0.5556383386292014,0.5169472871137755,0.5331119652568571,0.5057176438657349,0.697260424992007,1.0438045710453296,1.1080283795735575,0.5351487591043387,0.5095697978601536,0.5098845397810233,0.5515565180881161,0.6433442570450624,0.7009596327748189,0.6805779200881634,0.7343658814440832,0.8320812596224236,0.8862296833584709,1.0154760502808011,1.017269920429371,1.267621356348948,1.163300387701163,0.9878588888843521,0.8879408365728461,0.8165292642550274,0.8249770502703443,0.7730113232396086,0.7304513645944074,0.7179893195599282,0.6485883194463612,0.7150767448484322,0.7817676236205999,0.8055313379643068,0.824797278346369,0.7797989075066506,0.9429628805683661,1.0557566705453147,0.9664659771159679,1.0468279169701373,1.1634734888370593,1.473101329498762,1.9081865342824913,1.586020698992029,1.634462925801985,1.322075792444588,1.2719917862870072,1.2285894286699692,1.1038892106621512,1.188656001175561,1.0362247374929323,0.9803812535582971,0.8528127334485054,0.812259222045574,0.7353906414037181,0.6667130762055231,0.6263344848955418,0.6420033994763934,0.6408436699501829,0.6332167870411402,0.6700089627056348,0.6996789705393804,0.6893393131889385,0.7726360531037404,0.8564862005910883,0.8902838534741248,0.8773211061061599,1.0552037692651015,1.195201172879588,1.165574152121347,1.1241921232895582,1.073926592636111,0.910110479965183,0.9484390696628575,1.072926932477851,1.2537429972235055,1.1722461897544545,1.1700622846136486,1.3047237468887787,0.934688710701281,0.9126989192466063,0.960215346804851,1.0549046121711905,0.8938278041313685,1.0246174045813028,1.2723302171258508,1.114614342862762,1.0324688905367565,1.3771738395891746,1.5081422713382369,1.2510941074413275,1.2039992107691313,0.8973799335626667,1.055153417683996,0.9424848670927157,0.8231318018817831,0.9212984029703138,0.8608559829053904,0.9259882991372747,0.834971981206062,0.8139906453075336,0.7555711981478306,0.7705423321684284,0.6593948456101781,0.6732517008535189,0.772251709226924,0.6843528515401451,0.7061592386690387,0.747906203915433,0.9700021097962497,0.8093687789992969,0.7895634059027722,0.7979636948099343,0.7381025923445601,0.7204413650139264,0.830559482548602,0.8003862331130038,0.7470234137874935,0.7711517560162294,0.8491247108225543,0.8544858121715692,0.7804787039708596,0.9387467427159234,1.161454895378575,0.8930790396609756,1.0016814733553498,1.1641525457227238,1.32553162046481,1.1371452006450231,0.9557668238103959,1.4416575221850578,1.4052583909525098,1.1940637065556612,1.0997286181093278,0.8973017086510817,0.9374533986306532,1.1336127484456906,0.859774173359546,0.8729387083989455,0.6760128549393787,0.7149634201783879,0.617843498342703,0.7056737190980328,0.6005873555496283,0.7192344640377522,0.7039731035951239,0.5618809556467551,1.1845756724432186,0.9064982915050286,0.6470178830167326,0.5271052877958607,0.604776968984642,0.5764826702941678,1.0537398573609797,0.7478017872688624,1.409324995162942,1.7556174886330567,2.1843623195726827],[0.6720094371038406,0.6601813620896886,0.853628377220226,0.4557281935210126,0.5630607795027479,0.46026792427470603,0.44691353827958963,0.4406156402365236,0.4624493061854647,0.4108200436677439,0.424350518816973,0.43837731227176135,0.45975332112574163,0.4544421727460216,0.5896027839242531,0.5488031842522384,0.5736836959307292,0.6580794193002386,0.8109958549985102,0.8174517849867354,0.9844688679843108,1.0598999676227665,1.2712871567258839,1.3612218931614053,1.273586331951765,0.9944332460423079,0.8434881602336575,0.6995579999536665,0.646335158900424,0.5603913252636212,0.6375862849865157,0.5172005471380877,0.5403548483030001,0.5947295735690702,0.608621922594739,0.6853648346064825,0.5977875142465628,0.7895692275960653,0.7566945583999564,0.9027846122882174,0.9623049384858028,0.9273093544328074,0.9968099931425741,1.1655112771152725,1.7708028155392916,1.843861031203242,2.263605665672493,1.5264157028347591,1.2669425450347778,1.761365020207596,1.548745955034938,1.7975844988403924,1.4685323138679205,1.5575326347402665,2.387432591335102,1.3207195707381738,1.2124656855841198,1.9703807893516734,1.676244878355044,1.4140441235511894,1.1339024920699954,1.0490179083323006,1.041242820796346,1.141680713317383,1.0886676734448528,0.9763302146330477,1.0315936157400079,0.7875987473785956,0.8502992824301508,0.8025480550892952,0.9866861030994339,1.2539874861674736,0.9364025464767789,1.1259588790482615,0.8095828071803993,1.1669906210033416,0.8349047351583448,0.80484675563048,0.8314973590484558,0.9442817501343915,0.7533769919657793,0.90027725937718,0.9352396070971266,0.9373387662161116,0.8337131409025802,0.6946629446897676,0.7591637271817516,0.6973498381994998,0.7699190041008963,0.7225606400574957,0.7313700218079092,1.009807568582319,0.850993352308697,0.6684025241720577,0.6017492316263823,0.7130790295972819,0.7321084191213911,0.5422789043314118,0.45533968039466527,0.5440432785790184,0.4565009505283572,0.5544021102150362,0.5290083232368065,0.5782930592198062,0.8438349578371964,0.6423919629239898,0.7174263957425799,0.8618325798884467,0.6981823797546829,0.6566567689926514,0.561734820009517,0.5229746296301905,0.4322379625784126,0.4858988886583412,0.4902404406335442,0.5581001429864331,0.6452830235033421,0.7284272538298506,0.9095128617637723,0.6705899772267379,0.6884640290756419,0.5866049089935373,0.5889831044712651,0.4686979494387723,0.42588316666831166,0.448138144498757,0.5195826675908122,0.5402776522378725,0.6646281678045721,0.7255741083857087,0.7919028532282115,0.8467637517018657,0.8395353223414217,0.7635156881175481,0.7644103770788352,0.6610132929805239,0.7452065931427582,0.6916220536932243,0.6880245585346585,0.6994897059991497,0.9270789748123494,1.2710896945120678,0.8694738779973835,0.724517324548692,0.8022032450466052,0.6259523211528119,0.575027754636756,0.5284693878375619,0.4869867051810265,0.4603279014730861,0.4995721704171743,0.47644498808669694,0.6747272888720616,1.1044937706003826,1.1264770803551951,0.49116362988107376,0.43755798852550126,0.4616756739611189,0.474388549841425,0.5629107088491567,0.6353254936162659,0.6135784447383982,0.6791629651963773,0.7802610420029211,0.8379731676308609,0.9922295695979445,0.9755942426089755,1.2339586802465716,1.120934029238988,0.9679341220488253,0.8487200878341002,0.7728217696161186,0.7745783617851986,0.713442671181359,0.6605493040750325,0.6493419852853785,0.5709942473744328,0.6572586759148195,0.7109350565320699,0.7345606178160919,0.7617655462105855,0.7145605535927491,0.8895136491049548,1.0055735548825282,0.9114574767818276,0.982579519791588,1.1019977489746169,1.4059898813936835,1.898607060887554,1.5349833030071387,1.5866690836463158,1.2601243761128875,1.207225169056871,1.1739323519033968,1.0653179730832874,1.167065853935517,1.0405123364690068,1.0193070271496214,0.9449552134758052,0.890979313888509,0.8497430021534849,0.7778644070693309,0.7369988477188116,0.794084222839218,0.8103696505709744,0.7774671428851674,0.8117659246176543,0.86878393020375,0.8614917723764114,0.9014023955362256,0.9930006711945893,1.0530567739889827,1.031062484250927,1.1748832094791064,1.3410257918598485,1.2880492329088542,1.3067403250183498,1.2384540994569315,1.1015603928348265,1.1492592570574722,1.298371920135579,1.4319634651992614,1.3347476837411474,1.3146169374438115,1.459220888720267,1.101696525056533,1.0134455085373038,1.0961267712149685,1.1876079326189717,1.0174377923904778,1.1595960748392529,1.4378030729384477,1.320854041488342,1.187698075176189,1.3956425991004844,1.6321594804890034,1.3871663391190958,1.2778078024641986,1.017811497030246,1.1185238039741734,1.0110863407315434,0.9123926763558068,0.9587634747629986,0.9592848453368151,0.9388577908829823,0.8877287937060082,0.9009162840919169,0.8268371775554777,0.8239153492734662,0.7738277192347663,0.7961603117930427,0.8652955409391733,0.8139462417007068,0.871622219124959,0.916172777864195,1.0860054075604588,1.0101689810129748,1.0129553574365686,1.0122677086872405,0.9496409827968642,0.8833122039930158,1.0064791026941204,1.0027802841023041,0.9373021846551745,0.9485160330045076,1.0514894067178429,1.0552483778114798,0.9518775269489282,1.11356939891294,1.371668779754423,1.070977308773408,1.1483586424542707,1.3513398226015507,1.4867450149618147,1.3010494593543842,1.112614835079829,1.4797146959803946,1.411333190697146,1.3340277489016288,1.1928036287109014,1.0217031839909632,1.029128986378021,1.1633247701228515,0.9344371905072889,1.0026009515764323,0.8073156691846122,0.8723248088825559,0.7276418814658271,0.797414301696671,0.655902334591933,0.7206738426023728,0.8389253955022378,0.6744297667348201,1.26348655176003,0.9908728100289073,0.6666783374063686,0.586149918257308,0.6141384052871381,0.5940152398787512,1.050547841421309,0.9030308164729,1.2169288947511065,1.804361799040878,2.244563117852567],[0.6922431670067074,0.6705145573777503,0.8516953032175841,0.4614653563570772,0.5702101240842559,0.4874386755831603,0.48552251713199934,0.4872785864167369,0.4742035878226118,0.4306165543379754,0.4331065476799637,0.44464396082448604,0.4827591763766903,0.44547099118258293,0.588459712289075,0.5584158634799191,0.5735819960190772,0.6660130871024909,0.8271645584040878,0.8228447737025276,0.9931331151848108,1.0818756534310134,1.30218643292736,1.3996239634789112,1.2778714636865547,0.9901505439035087,0.8567369630727182,0.7083911680896213,0.667348848685414,0.5833985817990518,0.641608253680116,0.5458106051025281,0.5636136064109828,0.6206404477151315,0.639488587154133,0.7052400166610837,0.6446564009957821,0.8198737482735342,0.8017266351578402,0.9616629045324858,1.0035647966749117,0.9747989567087216,1.0690008287188548,1.240328338767261,1.8307806150163064,1.8926332981637242,2.308581146950393,1.5991648643548213,1.3243940756208448,1.8001640599610877,1.6137242562352547,1.73419477264783,1.5366170529811678,1.6346797965880324,2.4841501621714834,1.4430455244274636,1.3110303168905102,2.1140511669635287,1.7759552719630531,1.471318003367804,1.1562751139161895,1.0783451211978181,1.0586919406288906,1.161383879615625,1.0849838350334957,0.9917608531214471,1.0305268936928658,0.7959046456739538,0.8504314574237674,0.8000017244473797,0.9819504067379065,1.2648182658988674,0.9310016492353165,1.1237759543651038,0.8097096763308994,1.1536756634387952,0.852833186253603,0.824779525608762,0.8678947663880983,0.9837895176405311,0.8141807539919368,0.9544046955575439,0.9635113006109944,1.0474633051386417,0.9086980270198953,0.7671843353870209,0.8018548579821579,0.7567677645786052,0.7948677768815828,0.7649853025994214,0.7420213980421874,0.9856802740503332,0.8316989749539028,0.6610570504099273,0.5940524568952786,0.6824377299198434,0.7251925627892528,0.5480471175874571,0.4728771277407327,0.5593080189862839,0.5052171138371101,0.5913225899446347,0.5831735481822029,0.6394070664279158,0.9136564077565624,0.7162530625132483,0.7970862466559694,0.9278914427040977,0.7569018369733187,0.7146091227138351,0.6242868360877873,0.5772503469565934,0.47833744612615453,0.5169503899093062,0.49920603602577307,0.5542346171752764,0.6371768059500167,0.7143062998644494,0.8814383334806879,0.6652001725081499,0.6857721804519441,0.5770795421268644,0.5801866809669106,0.4646030792001252,0.43094796311049755,0.47300663253363057,0.5696827163226564,0.5972109080250859,0.7164799202759163,0.7880992216691602,0.8589433798472259,0.9314412435225773,0.9184519999694001,0.8483936820771006,0.8339642102070208,0.7071632198424075,0.7754074530623084,0.7069119182925934,0.709135524654896,0.730009297326053,0.9151505254946598,1.242505206821367,0.8698888914070463,0.7358986438146633,0.8295515664409482,0.6612597484968317,0.6063083206977764,0.5484357636122607,0.5272116829766561,0.5016913785824116,0.5488522536767342,0.505889237961264,0.7130220185122627,1.0582865427855976,1.0595137612830698,0.5241401256775807,0.4705515620487506,0.5193104353838486,0.5112096032894634,0.6159434916867818,0.6675002972366054,0.6590867345622728,0.7186169774112671,0.8256388573254856,0.8867002788852251,1.0368456803142991,1.0338719687767184,1.2594191969326562,1.1481266221367092,0.9844087315301259,0.8944639459074962,0.8118780072787003,0.829912752780533,0.7784410901479613,0.7299680084403372,0.7198324544657783,0.6374178628422125,0.7296839572730671,0.7939015781838977,0.8303049134936463,0.8362580635506291,0.7929876065540202,0.992358496226978,1.1088914122899804,0.9917641698925924,1.0513276183024471,1.1296007001246542,1.4583073412519538,1.871590355581841,1.595131951055731,1.6683600879939204,1.3129417028241563,1.2720317749080245,1.237906771798988,1.1511568201506226,1.26907681120937,1.131590340286077,1.1040248771118384,1.0093096620233786,0.9439099950042604,0.9149852908388756,0.8333785049361646,0.7806004940325915,0.8357672253268394,0.8526195006277232,0.8051937654929253,0.8375198030001916,0.9001236319635985,0.8866007873374963,0.9145864649628238,1.0069719954297145,1.0605148269897302,1.0256193299791787,1.177742946237214,1.3380590099472023,1.2971338410635795,1.3118373109628096,1.268488139471695,1.1269072470849195,1.1838109970895252,1.3320902567242652,1.4702540874901686,1.3806396770367881,1.3452075058015236,1.5098317736479803,1.1768814334373063,1.0904541708150035,1.1866992098475413,1.253925861394726,1.083681322893168,1.2441346662849362,1.5259143659608416,1.362680248459756,1.2529401110303737,1.5010577076075318,1.7117920394371384,1.457833975949328,1.3193254304996223,1.0834027843621559,1.211215578969995,1.1044948348679193,0.9972754507452779,1.022340455771856,1.0385839386290403,0.9893762520049336,0.9505843359193374,0.9779175376118899,0.8713078680575889,0.8648639934094025,0.8203871742672895,0.829146757375915,0.8780656166680549,0.828471553647481,0.8936872155152342,0.9105298593146738,1.0827529903030717,1.010062123971831,1.01905076530018,1.032832665506229,0.9853605375235059,0.9416950203372503,1.069445161886905,1.0437566732075878,0.9747564438340706,1.0007975064807126,1.100386286767115,1.0901770022264838,0.9949844150203739,1.1734697239955147,1.4045185563595592,1.1013710597430708,1.1855517727890612,1.4117019038995384,1.5200447169502016,1.319192385530114,1.1286640055045414,1.5266376862222661,1.4326168282517713,1.383699967491801,1.220222582056118,1.038561661739744,1.047713687974853,1.2028482139668175,0.9698519019175111,1.0060363694551775,0.8190553234848024,0.8832290003719475,0.7480276018563423,0.8493630747660524,0.6946452706736088,0.7458252867024069,0.8462126125889857,0.7009475878975518,1.1722212584682887,1.0221508868089157,0.7124505638056399,0.6200581165793805,0.6439233965981167,0.6180847605162021,1.1527592553845143,0.9375032407053956,1.174685326394603,1.882066304218142,2.3653790578824876],[0.6907578349273009,0.6712852864978085,0.8096077404721399,0.4904632852802731,0.6265334843836226,0.5354670799606327,0.5463321039194156,0.5536669670753777,0.5289698913686204,0.4924406737434399,0.48791259598180614,0.5014963676686977,0.5495856519945462,0.49912295003711793,0.6338770964839255,0.6167694409931673,0.6168841565693143,0.6998219665032825,0.8547707214442005,0.829008379302359,0.9803546068038217,1.0644852300707466,1.2806380751549546,1.3716292075001473,1.2487426812622677,0.9799158074407762,0.8699145130897313,0.7377451543645268,0.7095434905505442,0.6311864242991173,0.685727380167857,0.6055549752053762,0.6230108788994084,0.6638584116641143,0.6824974439184573,0.7370355433241345,0.6939872264383582,0.8486583400636261,0.8270260444721241,0.9618981890660475,1.0143180468715856,0.9839214058708545,1.0751829219548652,1.2448248558800963,1.8354301036428151,1.9123757808414614,2.294038530926277,1.5832437364615242,1.3213947922935105,1.7756708327831516,1.56981003817534,1.6863631336933995,1.5073137046122418,1.6228409430772441,2.50693458761981,1.4538502184252244,1.3030418654318372,2.150273025633496,1.82008115428853,1.4509606711193717,1.1378039555295953,1.0746513050468223,1.0476820202190231,1.1315156644004858,1.0582789824008758,0.9816549576209457,1.0099866546311578,0.8077199414693133,0.8615326690636729,0.8168689571279312,0.9978974040513361,1.2665636795395487,0.9339219170671625,1.1260212800049687,0.8294483229825218,1.1425759452580333,0.8560560346710824,0.8343201797169847,0.8775033272915025,0.986163784626034,0.8437161547522717,0.9673923493728247,0.988936582973288,1.0788433217451354,0.9288140758042455,0.803085417794828,0.8235393416624329,0.7861276506929994,0.816066380409021,0.8023642355857139,0.765394042625887,0.9922170179391547,0.849875746365652,0.6985893540992539,0.6439723426734439,0.7110291731701859,0.7627558572240624,0.5999027961067174,0.5381457576734839,0.6103964588320102,0.5753607563525663,0.6324429513450629,0.6357666166693685,0.6788307960410394,0.9415818772609484,0.7410937877405405,0.8130508221812618,0.9365390477830334,0.7613996047684958,0.7350426190857504,0.6636027592636327,0.6165742049600696,0.53845927525709,0.5666782490702961,0.5558056878048103,0.6044614337436184,0.6748814881628612,0.7386754281555846,0.8889007561241119,0.69731463661219,0.7167879522870687,0.6127788148842218,0.6211824995372908,0.5120439986952389,0.48504567306927987,0.5259505738437783,0.6256107871795312,0.6394083955785858,0.734131598406074,0.8032842893666395,0.8605444516380014,0.9267941996891017,0.9191626138294314,0.8565234987098972,0.8439442691299189,0.7270561488571493,0.7868599604013201,0.7220357302570716,0.7423959088407268,0.7646247085496702,0.9265266109580913,1.2080593271410267,0.8729899035986872,0.7631505061669988,0.8507102730410312,0.7014297772545214,0.6521326939790761,0.5951775931137275,0.5820742366186007,0.5666350080223118,0.6009014790634706,0.5627679721915425,0.7611415190977225,1.0503564433963317,1.04174706487123,0.5796389712448824,0.5363579755054158,0.5796650654814351,0.5665533404932591,0.656135649858456,0.6953741529977269,0.6989317755592103,0.7491485949070819,0.8426472169788202,0.8945796087355891,1.0335057423577052,1.0353860736832012,1.2494889544019503,1.14424796958052,0.9927713508854316,0.9066064193938517,0.830472468474591,0.8490193601905655,0.8043073452425568,0.7620449221531574,0.7543991743987435,0.682314582941096,0.7671796466285434,0.8262164661011544,0.8583736165185221,0.8564198043352219,0.8144209056952412,1.0008367813325694,1.107622243764374,0.9941682169831306,1.0439515465705664,1.1133802770423498,1.4131927875032455,1.8571231994303563,1.547751208123505,1.6135653702073074,1.2918038819695972,1.255050875404368,1.2312893716273428,1.1455638454803603,1.2600877289479644,1.1235518673230454,1.0837907798725799,0.9737007620289725,0.9237555918185435,0.8681152575690143,0.8004541433856768,0.7558182942137032,0.7818999452340972,0.7875472064953069,0.7617386522136257,0.794964946387914,0.8302351234630155,0.8188243318310413,0.873697372321848,0.9540748208023457,0.9877951088136215,0.9673429876050897,1.1361330480787752,1.2675307647337166,1.2373631105038028,1.218914344290245,1.1844833384044462,1.0298042690036273,1.081987323976177,1.198244886499615,1.3694719977362864,1.274942038739227,1.274529713384011,1.4214724599705644,1.084153320370562,1.0324012443862118,1.1060184088160836,1.178790656431225,1.0217912433345817,1.1719960275718788,1.4222032307785357,1.2507118769694046,1.174857857128499,1.478488239395552,1.6351714663657944,1.3752768186681719,1.289546351287138,1.0274732632437849,1.1863749589214905,1.0661340987248995,0.9512254654247168,0.9994526795954886,0.9969335302665921,0.9872075940725495,0.9324618821729305,0.9416377922152694,0.8546748949097092,0.8618532557807522,0.78404518472496,0.7887392370940949,0.8547250605266096,0.7873020119105859,0.822640199043535,0.8409355467295914,1.0364630975311224,0.9261679942775746,0.921426302698172,0.933444061682465,0.887193983049328,0.873045272928106,0.9862721774336362,0.941293263043899,0.887669386430761,0.9222468293656201,0.9966098199127643,0.988188207727231,0.91384133043531,1.0790161665049907,1.2842236232227657,1.0111043406044393,1.1062001520020828,1.2974540125633318,1.4164569240292655,1.2256944978646105,1.0527955827962323,1.522344083123529,1.451726519077053,1.3229913480814601,1.1885831047137234,0.989924197457485,1.028635432149325,1.2134176653340885,0.9641596971937917,0.9632506208443641,0.768733113473869,0.822216145785646,0.7216900007158391,0.8283039104573553,0.7015443792312848,0.7779474833102505,0.814628648769452,0.6794609245461936,1.1445774797538442,1.0158267154733989,0.7419473445559135,0.6330998526226465,0.6737773165007264,0.6535532326783005,1.2035668241994326,0.8981714177424834,1.244038762961845,1.825277920860295,2.311825235242876],[0.6873453302555796,0.67336305992852,0.887667886032152,0.4862982930677558,0.5959948752867669,0.539815431598379,0.5392448649650451,0.5390136216193903,0.5229730691561587,0.47269566719590167,0.4665832488613471,0.4989114135445349,0.5120398690405488,0.460823937488672,0.5679044020144614,0.5585884832206656,0.5660565742288567,0.6347699568138909,0.7601589420989665,0.7403486509213075,0.8736079019503186,0.9442630718680305,1.1681580857992087,1.2441459174941707,1.1574359369852507,0.8929154676801986,0.7942847254013039,0.6701579922695601,0.6485522893179647,0.5781175451271762,0.6147235500382687,0.5546276147795205,0.5665472061158763,0.5915745994754221,0.615315883078821,0.6776094885537646,0.6334092946371416,0.7631022605560018,0.7493303833270849,0.844246974360626,0.9307298022955186,0.888640623157563,0.9638624720935524,1.1493899438633552,1.7411953568575678,1.8668612639897983,2.1993151166063694,1.4599236832101434,1.258276403685918,1.6862453954248493,1.4546743655582726,1.7130298759652307,1.4070961129396735,1.4219831795925755,2.3633032320502867,1.287338960531689,1.1298097137294636,1.941247879381291,1.703542377061334,1.335156127403167,0.9981512617833057,0.9372288414825489,0.9225497693684912,0.9748565824156975,0.9259878917598005,0.8648720487424999,0.9094255397531529,0.7138955649468737,0.7710673458009456,0.7442799466756765,0.94095866473124,1.1807106133767447,0.8753152157649424,1.0604642593937774,0.7361836168211344,1.0387393867612704,0.764437789108763,0.7400744229260974,0.7864163787476195,0.8905705884564615,0.7391772742480246,0.8451480538634909,0.9503662427199056,0.9757358401617933,0.8762699375930412,0.747469393463697,0.7311315178218054,0.7087644853430672,0.748257613949477,0.728929883295573,0.6856233588024385,0.9119322921744125,0.7596382231759884,0.6176695874966809,0.5753625353014149,0.6601390370318143,0.7025648592640665,0.5515250675135744,0.5035931229539049,0.6171340390383913,0.5537241005858472,0.6622693867366581,0.6055243923787009,0.6881407572622694,0.9564600343095689,0.7769577333021244,0.8435524861878764,0.9348921108115233,0.8091624909425862,0.7618764062558188,0.6733511047986156,0.6252321581895925,0.5327239287343103,0.5733976697259336,0.524750442471928,0.5702045235965592,0.6363132263652027,0.689581850490645,0.8151533619512763,0.6394058301417881,0.6674174351757494,0.5771774402756715,0.596979958332796,0.482755003844454,0.45998316090870534,0.5404546685992875,0.6070210346522583,0.6509625858695107,0.7889737997929742,0.8418634449480072,0.9351189872097598,0.9862012066454466,0.9451363010240061,0.8795634698794451,0.8679029908394291,0.7587073487986132,0.8416416573564275,0.7680259292030268,0.7507442871428486,0.7337697336232692,0.8827914776905031,1.1096809228697295,0.8024740716157577,0.7148761473835983,0.7884967432512557,0.6455307324274657,0.6125864006378569,0.5777251588793477,0.5677345242177473,0.5622746596470233,0.6121676143887345,0.5644417312665891,0.7825529759032829,1.1018373183985128,1.06403098079384,0.5795174742401463,0.5123801006636858,0.5823300979659574,0.5409845778700149,0.6383644719986334,0.6870526479018717,0.6727479276354763,0.7266186340075984,0.8025701732628275,0.8523241358977757,1.0202274635832036,0.9962477979382365,1.201349975457264,1.1279793301905963,1.0057796986798055,0.9044960841324161,0.820095181112208,0.8327599314259181,0.7909421159155404,0.7381374946940409,0.7484149349635594,0.6592224535328972,0.7759562035618276,0.7912302621325252,0.8353859008469241,0.8383432397878106,0.8112112784048989,0.9757723250329948,1.0566504384297957,0.9526918848683981,0.9597922306860626,0.995897653267233,1.2592161106603057,1.8593979907060307,1.4161709427275186,1.4482232911967576,1.2163321599882646,1.1941428807457282,1.1958738841659848,1.1268964756032323,1.2411378618572833,1.1548990887094703,1.140185553417332,1.066053788450526,1.026032796660342,0.959655677841165,0.8934872868827933,0.8577383019749655,0.8833736569971034,0.8861810518950738,0.8504310824153741,0.8707024560529429,0.9033590126597573,0.892704696300678,0.9203283244777574,0.9878637345324078,1.0297628242711794,1.0136617929655234,1.1557995498859694,1.2856943664582705,1.2457392244749452,1.2440592651429438,1.1786913642327117,1.0675095000344537,1.1054170162652246,1.2559037828391293,1.3781698316088444,1.29988392424409,1.292129341648109,1.4736280023525221,1.1483303196013486,1.0837178739945685,1.1634589212306277,1.209527249751917,1.0786373727907672,1.2542819186685312,1.5059945064714166,1.391067951394704,1.2914333456710285,1.4637001555839695,1.6992097450528607,1.457016575250253,1.3703737080832867,1.1232256700997578,1.2375284504732587,1.1215375705563198,1.0097964612299015,1.0488939287611112,1.0665589676887481,1.0180522208973266,0.9870264441740282,0.9857988169724614,0.9092430296139755,0.914713117001232,0.8550928197623273,0.8576754029506066,0.9076106417867652,0.8513694923376285,0.8951412143570687,0.9188021355815585,1.0842674772929235,0.9954512964140902,0.9927757605408591,0.9998523957075084,0.9652505652431091,0.9421166719138803,1.0507479082503095,1.0061765919767764,0.9603794159412409,0.9971485862971471,1.0558067701955678,1.048057642716231,0.9926140242132867,1.1280766379735145,1.3361985883519742,1.0658654613602347,1.1882837717049104,1.334890579527567,1.442275483817263,1.2724345441472877,1.0913779920928988,1.4295236667418678,1.383428009085576,1.269887838394676,1.1693599406241342,1.0153945078629891,1.0468275076468143,1.1897848761400986,0.9617779454597711,1.0013357427153744,0.8654230576560182,0.9301081348793074,0.8242226477371345,0.9311539522333704,0.7701247563947426,0.7663276688796716,0.9434008098770437,0.7587489050166685,1.240447692338269,1.0846242560261814,0.7194897842355915,0.6521121238156499,0.6889168593873386,0.6358371288521489,1.1574946639290384,0.9694548989939846,1.165522639179143,1.8894150660717914,2.3565883678275426],[0.7899000053378257,0.7778451731125959,1.0289185650013954,0.5734587478031458,0.6639210170535165,0.6172814201468444,0.5955679329091895,0.5970575598416408,0.5576681757258198,0.4952194425915738,0.49159363886769347,0.5266804737366905,0.5296252529246398,0.47397894942368773,0.5762709624262803,0.5594324041137955,0.571398080427268,0.6476894675096844,0.7866218894099326,0.7767050792579081,0.9322089076884061,1.0154691302640242,1.2464421065817108,1.3415804662629713,1.225390881408032,0.9448619947174619,0.8263605188486131,0.6892891769521308,0.6647250794316621,0.5917520765291571,0.6181391877623097,0.569701514603611,0.5817281526641117,0.6047360957686257,0.6326674445135864,0.6928690779433874,0.6678905879399207,0.8030409721844188,0.7935247798867924,0.9176252948304258,0.9811375731272415,0.9371910624287638,1.0289981947727138,1.2163327867813083,1.8006480122392539,1.9021114162063577,2.274227495867978,1.5470920409968059,1.314429710964723,1.7606585392989669,1.5571435954674275,1.7024636131511746,1.4916622814469949,1.5187402361313211,2.4339948359337664,1.3952175693480438,1.2335572500592675,2.0352577515977135,1.7540790777960933,1.4140915425733465,1.0739483531315435,1.0002462028911119,0.9736358298560363,1.059169342213851,0.9999781789326374,0.9125016866361436,0.9586581792192834,0.7431578947111673,0.8058825007900312,0.7602019390895313,0.9488546902950901,1.200513007207349,0.8864519898600246,1.0898591236216724,0.7520224103482049,1.0803142146091667,0.7881969772568269,0.7632573105568591,0.8157169121582697,0.9333787161650017,0.7856523565839463,0.9023437347066957,0.9863717105253224,1.0358368471981392,0.9247464994359015,0.7964763723964853,0.773339872482524,0.7512441885394081,0.7750183033615509,0.746304226095053,0.7039169932391546,0.9429251226387612,0.7723079215903799,0.6239046411120611,0.5759919596011243,0.6633885586258812,0.6991881516905242,0.5601823086842762,0.5204047730274604,0.6633296614815997,0.5876181602231839,0.7353281024895753,0.664296641869131,0.7727097441213815,1.0473951078277672,0.875274679040419,0.9735996948858326,1.051266508751539,0.9533828339053518,0.8827761739561398,0.7807330688257932,0.6973794326156414,0.5945050452744095,0.6100078461958457,0.5401130482414689,0.5769630323649905,0.6487159592274033,0.7072754312296058,0.8506113320511552,0.6543049787558718,0.6803792544609638,0.5881162490968928,0.6037006543448543,0.4984648483074299,0.48959492753270417,0.5787967091131159,0.676347552947349,0.7249531101671528,0.8911508559443955,0.9460893913086192,1.054663073128556,1.1319053683488116,1.0514773509464332,0.9870461400582251,0.9543681071728207,0.8220350219384512,0.9045852122098654,0.7960335756889307,0.762762477333723,0.7554535576955204,0.9052068888183861,1.160478749653833,0.8327228681092192,0.7330895836512507,0.8201604848260928,0.6699209104811567,0.6342145751527765,0.6006628891191679,0.6147768584584491,0.6068763033381128,0.6893348261242228,0.6213377950754643,0.8474494710963374,1.1588572984491314,1.0948706702427082,0.6379438797324589,0.5626055970929602,0.6564096435046722,0.5878235908724301,0.7084733802235836,0.7338950867804603,0.7075567334516821,0.7597390792735953,0.8410797564632784,0.9048555446267046,1.0609875173020515,1.0619814445790783,1.261332082858381,1.178099284386863,1.0426753748739537,0.9578712163602902,0.8595684991169991,0.8848535054280621,0.8460532697819081,0.7944689017959925,0.8123528448179115,0.710155002782994,0.8380299525024069,0.854610399061085,0.9139786762425604,0.902806730593335,0.8901169219401747,1.0745788244238772,1.1781962096763106,1.047367299816978,1.0459818459991903,1.0680971310045064,1.3568205589221143,1.8538952074706947,1.5104815502334117,1.5653225160667705,1.2774353224183375,1.272228959498454,1.2829303750044152,1.2413943709664674,1.381991447964874,1.2872589515405208,1.3046344391985427,1.2612756791148325,1.1898507349560998,1.191449046138232,1.1071696888361235,1.0435689439651874,1.117585987783219,1.1433281336479713,1.0668090354474713,1.0813583377474734,1.1600909137176127,1.142174497005354,1.1042556405407888,1.1919885494153375,1.2582750938091207,1.1916985806865321,1.3042304712496566,1.4658314378489898,1.424785837762922,1.4926491955822843,1.4611163971351087,1.3704510224077406,1.4231839007463718,1.6091295596954764,1.6864804749851552,1.6250992085710918,1.567424980407456,1.7355343639064484,1.468825217339926,1.357670093038292,1.4733022820189114,1.5276107637551715,1.366879109186143,1.527882009262633,1.8116618875103923,1.6840139090176325,1.5521801590450721,1.7029881282391948,1.9682468518756067,1.7102117532684293,1.541341026319585,1.3604463629413006,1.4248066127239687,1.351849994982532,1.2648163202903473,1.2540557408636586,1.3206931747986126,1.185642526446089,1.182056509145096,1.2255140708803867,1.1153040432511914,1.0886666059597399,1.0875683184213663,1.0889410064576845,1.0934934243808296,1.0654671197242147,1.1537594674101406,1.153482792477689,1.247595397492502,1.2413404552419385,1.2638232629432047,1.289815205952203,1.274388013809382,1.2311142163246873,1.356074208680149,1.329095095216118,1.2542811235953515,1.2991792996113858,1.3888706664232793,1.364796200857383,1.2857264894578853,1.4653478493088912,1.655440844928881,1.3674783509343835,1.4660628594670064,1.6940403894467069,1.7575320818566647,1.574434393110275,1.3750162657223104,1.662854960628129,1.5511505194558342,1.550343323955884,1.356384936357453,1.22710778384967,1.1970563052293826,1.3037270274917576,1.1295985738144436,1.201943901122678,1.0813452430921853,1.1503123209102017,0.9866662322328411,1.0923179568823302,0.8937849896342828,0.8869118746693576,1.09683535217735,0.9453322342235568,1.2922271063242954,1.2086124611503943,0.8612673924531222,0.7996166443248669,0.7711607413436313,0.7325086027263853,1.2626257841700006,1.1464150232104917,1.164633881262108,2.0973507295126623,2.6302615124773276],[0.8786423063855479,0.8531845295915955,1.0213648300589349,0.6803412213640165,0.8036075592730351,0.7387235699355037,0.7641460968875449,0.7877696108554466,0.7063202271482734,0.6696064317750209,0.6559784888852291,0.6854758137540291,0.7394343734912526,0.6318218316527826,0.7217014848827705,0.7580482747876018,0.7468478168246714,0.7958811036663335,0.915660036794919,0.9073650183222488,1.0276149707260311,1.1490823508709416,1.333380912274738,1.4132893039032965,1.2888155614170604,1.0360454320877697,0.9797403904578936,0.8455644743090389,0.8389659854767603,0.7950374029535816,0.7956698885846428,0.7879611990381695,0.7942798518490194,0.7963775313382649,0.8297014109465433,0.8712178479077931,0.8684560419435534,0.9797742169641758,0.9837993506456499,1.1139765776911226,1.1580733875676137,1.10680852665604,1.1933432999694793,1.366625114492743,1.8973341714611902,1.9989114254432667,2.3297897880622354,1.674659280124449,1.472827774298891,1.895791419528757,1.6971338195821875,1.7636828251793535,1.6482414363099385,1.7033142611036125,2.6229017864033923,1.6289170302413813,1.450233598870494,2.2768204342631133,1.980360463628582,1.5875064429013084,1.2578539725861524,1.186880290203934,1.148603246025493,1.1817494466271854,1.1527528838716046,1.0641116391966514,1.0300017326885034,0.8653195927343458,0.8835446866061755,0.8655525120727884,1.0039224507337015,1.236234099014052,0.9341049706949037,1.095849740328457,0.8865976311222499,1.152851694653112,0.9332579527281685,0.9233666215652279,0.9632516301421172,1.0808710112399502,1.0179076638753015,1.1148827694754622,1.1912759105540176,1.29009631878748,1.1096361236737151,1.0101449175816326,0.9742971402059527,0.9349609162144166,0.9394288853340557,0.9237058060056171,0.8662442572814603,1.04441671230076,0.9163600454117182,0.7963034358985659,0.7636580531997169,0.788746940634424,0.849466393319451,0.7430572548511644,0.7131498286821614,0.8230286966420873,0.8178496690391932,0.8984855151849401,0.8897689285084865,0.9839706809916133,1.2261510628641128,1.0675356056098477,1.158793584285921,1.2146236024093122,1.1213862289036962,1.0611633884616625,0.9835089492770382,0.8859861648900748,0.7935725129739979,0.7848620728472779,0.7337128986965181,0.7530977938027671,0.7941297739121114,0.8168721818442898,0.9194845679602298,0.7837207565547243,0.7910491600851497,0.7108714177998395,0.7222819183394134,0.6517291915788971,0.6605318777369807,0.7482096088513427,0.8637578725059046,0.9163605511550378,1.0590269351024322,1.1087447785389404,1.2020159108402637,1.279923802094337,1.2090916349346397,1.1626709688514607,1.1210192365030844,0.991382329527468,1.0394807586639985,0.9271633809739055,0.8940457285462201,0.9265459372682462,1.0077880054966768,1.2168271215769313,0.9596217268540862,0.8919137513367236,0.9900787413623362,0.8635565749992922,0.8270272895373985,0.7946196260846571,0.8255440669347132,0.8156620409078443,0.8684051427462682,0.8175561091522672,1.0281971765453253,1.179526632981475,1.0598477635140031,0.8217077393735182,0.7646813955931753,0.8634096533277661,0.8009348318652179,0.9018406651797959,0.9212410223875793,0.9032232132817432,0.9444552141407152,1.0134057399991485,1.0871709338890585,1.17051612670703,1.2124202204449457,1.3730568804762537,1.2881413330086315,1.1803611001964585,1.1092472372336186,1.0192057618285295,1.0633505819826743,1.0353440817796724,0.996756309756624,1.0158991375942514,0.9173113437414847,1.040527103526925,1.0624802608243653,1.127633606554687,1.1049858782143396,1.0844878235291933,1.2617032041278962,1.3586987196442597,1.2288144661870313,1.2393489799204531,1.2399716603610056,1.5149316737890974,1.9059911466674468,1.6308713949549893,1.7172622162652365,1.4158629144550385,1.4268253366912962,1.4346165430272977,1.3836957406958275,1.5002140130288701,1.3829908119293217,1.403327773143184,1.3477235417996998,1.2865019139446787,1.2605882215901292,1.1927176008319391,1.1372737965353719,1.1658118098054142,1.1686131258139156,1.1171033258675287,1.1295016686360568,1.1571809598673009,1.1448971313702108,1.124749063189651,1.1934472276921966,1.232521671492848,1.1802910407190157,1.30118504394033,1.3942692696014483,1.3884501078685372,1.4291897730693197,1.4181083552320781,1.31218121278174,1.3630448546736718,1.5334010656613675,1.614908333070055,1.556943048469623,1.496773213551069,1.6455209666328494,1.4348041201520016,1.3933940154159308,1.4730454594656974,1.5214829882603569,1.3908757574525785,1.5166649734465147,1.7579897570355998,1.5817041115724584,1.5289261389759057,1.783524334643923,1.9351730564632983,1.6673985319142854,1.5908346065068957,1.4054182556303825,1.5032775865440744,1.4375340698328039,1.3394829916080198,1.3505498740543038,1.407270455795477,1.294472516686351,1.2900518516875525,1.2971114043521499,1.1972541394101957,1.189739785258657,1.15008993488732,1.1406167708887789,1.144864313509161,1.0913825385341938,1.134602956807701,1.1434912932505719,1.2334436846446875,1.2044064718723846,1.2101929046504927,1.2307311142837671,1.235802504841835,1.249950760966167,1.3508527691716468,1.2737680922217702,1.2354557099734211,1.3016369377918844,1.3282429020536144,1.293242942640708,1.2617962545139356,1.4195132048004502,1.5280128927204086,1.305084921971176,1.4264802381734811,1.6379769102413673,1.6941199680433756,1.507207885899748,1.3356643030818713,1.6808104342112469,1.5616580811159155,1.5748583710374189,1.372110738824706,1.2366824736745585,1.247853340101478,1.3773934989901164,1.2100748854617112,1.2147781660131671,1.128923517737232,1.1618807240820186,1.0591204928428695,1.1961772678540157,1.0330291949943895,1.01950991330689,1.1574852502309627,1.032289833349567,1.277724586625238,1.2957395650077579,0.9498589155506403,0.8822664833380323,0.8915025447765563,0.8242932655432735,1.3977981712005165,1.1459979215827512,1.2380967346638874,2.0724563207053173,2.60202666073926],[0.8305747275269728,0.7836030630948106,0.93389681735633,0.6067002300298179,0.7023710780504356,0.6765166957723898,0.7014493401018359,0.7138353262030286,0.6776603452148916,0.6472830655602407,0.6421115637399573,0.673856924558024,0.6962142231679002,0.6235884449279022,0.7027437812618211,0.7257081210217036,0.7344467218943881,0.792039834915276,0.906738792334416,0.8701238147922734,0.9756822638050299,1.056614543710433,1.2546064033314384,1.3272637463046224,1.212904473495937,1.0000019137307525,0.9336812419285863,0.8134592565167924,0.8175731503299536,0.7579575005411116,0.7757188836725265,0.7469901897009843,0.7587617533496834,0.7677647241960183,0.7933680475738608,0.834969953522471,0.8237967931743096,0.9310410958438503,0.91958214678654,0.9921818200959092,1.0750688484978541,1.0356490056190242,1.1146536817432462,1.298586423540797,1.8097638423664681,1.961153716413947,2.2390271250101654,1.5650605577296963,1.4068077951293714,1.7788466420083962,1.575459878512288,1.7510521883246584,1.5552955734744627,1.4947794615115464,2.447557516798959,1.4636663443971223,1.268946037932341,2.0634014704397448,1.8373589439041667,1.4498073397172895,1.097008165928443,1.0500473336872937,1.0119081072209593,1.0510489456401775,1.024024606590873,0.9801806275422198,0.987884216459463,0.8484897751646192,0.8840848682532231,0.8623580434954484,1.038552440534718,1.233554436435232,0.956626583965856,1.1341774296198444,0.8771295663744201,1.0822018592870501,0.8963325807663769,0.8782022810449048,0.9285007114030093,1.0277571561342034,0.9140877647013831,0.9880695920571351,1.0969174482305213,1.1402945150691968,1.022082434406835,0.9305519455433483,0.8963029023556769,0.8808264685687553,0.8988423541550902,0.8996327070278378,0.836110882754416,0.9960773557752053,0.8763286975554518,0.7551428562909193,0.730031903381451,0.7681148640390244,0.8406791968029309,0.7110176371467053,0.6857199049980107,0.8019353995707266,0.7577809471460887,0.8221509051253006,0.8085453846931365,0.8769251882360894,1.1261837362090243,0.9448761368090159,1.0046617701999387,1.0668726038264575,0.9594657348159694,0.9087235035463325,0.8358298701199848,0.7882207052022244,0.7134052816733665,0.739921804096893,0.6947939169909829,0.7259247839628015,0.7741634107873627,0.8161596596290555,0.9050440903299145,0.781348277391268,0.7919837775094187,0.7115576324573935,0.729920330625676,0.6387592155798674,0.6267524555185745,0.7084251935244218,0.766280692533561,0.8136707490384159,0.9387647784372322,1.0009509324643666,1.0780913028012722,1.1436056398336,1.1042336280248488,1.0491381925174392,1.0319091922671768,0.9166403005160684,0.9637314295485753,0.8904972063890864,0.8732839218207606,0.8702193865712963,0.9685900100578966,1.1461311615201608,0.9140915766727337,0.8566634464399058,0.941619442208824,0.8196262183536164,0.7839729025957066,0.7554696631003566,0.7560597404012142,0.7393562570644,0.7817331493827085,0.7301503418124439,0.9232997677832067,1.156681997948486,1.0585732334227982,0.7651225649132999,0.7060294763657341,0.7796622065463344,0.7431486609720113,0.8161589872578318,0.8441537902106451,0.8519896110193719,0.8940734680615873,0.9574707275425648,1.005038388388801,1.1425573618848353,1.1231824510653032,1.2763357013127246,1.209365154431791,1.1166022563826459,1.0316811867806157,0.9514285907876314,0.9870555922682547,0.9614705196041194,0.9220251425416623,0.932225836574964,0.8586736526734633,0.974914517694893,0.9776877090944076,1.0343698686254654,1.0136749484664407,0.9779694747350329,1.1414616523061263,1.2373433499464292,1.1222745539651418,1.121712159777622,1.0902440156863533,1.3358678576244454,1.8628021474582788,1.489683792598686,1.5294510007176267,1.3018409809133689,1.3031810651216926,1.3193087796748237,1.279301858216123,1.3991253665198904,1.2921415693290552,1.269345933092187,1.1860154670671006,1.1364467879415452,1.0675264130365805,1.0093211523220567,0.973850136465092,0.9731267867576688,0.9670967385483524,0.9342963722691886,0.9475725098325142,0.953335210647051,0.9503745527721028,0.9777414634564738,1.0398423515474349,1.0658615590446632,1.0487190109699591,1.2072051565224904,1.2936712257111,1.2704439267397176,1.2534734631435154,1.2119917343767852,1.086406767820953,1.13428224332329,1.252366892420229,1.3753837515463614,1.316397184295997,1.3084378215591974,1.4995419269440424,1.214345760413598,1.1702168187155766,1.2588971992176128,1.283697210435741,1.1524335748981578,1.3589477051227399,1.6086194060076386,1.4529365516183421,1.3812618509954662,1.563610049222725,1.7716343564449226,1.5358212024965998,1.4497605776115357,1.2280177326766573,1.3621018525792836,1.2515891689796175,1.1249616784603256,1.1552755501011331,1.1857675161461811,1.1139198013339768,1.0989976295058095,1.1025684303610248,1.020651590828504,1.0315133139241723,0.9526209242114485,0.9414090703781879,0.9804635438279615,0.9247110520849723,0.9524498895042545,0.9668264578290492,1.115438816549007,1.0319638035856864,1.0151637004510203,1.0273409711476442,1.00640456264488,1.0150888268751155,1.11953937358692,1.037536274746109,1.0080745598640184,1.0574277389225502,1.0847267863472223,1.0686541347929328,1.0395490470694289,1.1692333162936446,1.3337433781884327,1.076528732118305,1.2088206168261493,1.3563467854774123,1.4449121339943016,1.2649704351464246,1.096952675382716,1.533200562452072,1.4928808039879466,1.3474071475605798,1.2363798323684316,1.0582375921550617,1.1163736580479837,1.2881781515440796,1.0585169018189013,1.0282038263563256,0.9097299037383565,0.9668854620748386,0.9052727128186112,1.0479102152197481,0.9114742743757595,0.857044202947804,1.0346975054094076,0.870518906924735,1.2027697445697707,1.2033727764718765,0.8346404470172688,0.7659354683829386,0.811970093353299,0.7380544059906989,1.3445381247314383,1.0563459710903045,1.2337174613785375,2.0405212633844685,2.5260810365133053],[0.8223555014603959,0.8199359903982546,1.1214693940218874,0.6495656404014825,0.8090077594281567,0.7590656868857799,0.7497356307716905,0.7683554481080622,0.7084298734989937,0.6556648166267728,0.6357317352601959,0.7047390955958013,0.697553424754941,0.5987616801026782,0.6604563122658941,0.696253206231321,0.7018620175650689,0.7353275223961508,0.8086066748538537,0.800341079550873,0.8775814901962541,0.9501003117148918,1.130727648149583,1.195070778094006,1.127310696590459,0.9043490807193532,0.8516159079305142,0.7523500753926922,0.7766400651745295,0.7518715356336347,0.7318094537678953,0.7369638034964875,0.73525435559973,0.7419319226976537,0.7833601439920056,0.8109800132634958,0.8261630200564973,0.8844532989287147,0.8847237762543061,0.9613197552900016,1.0321390009516969,0.9503128230633177,1.0420510022079537,1.2362813252650562,1.724291701606558,1.8898053865295403,2.176550270176335,1.4944342754646975,1.3812246277161857,1.7378008912855465,1.555027682446483,1.8065497686021046,1.5380494563490545,1.410382433855688,2.3646946372177617,1.3854211074487282,1.2012098696150941,1.9334651185466163,1.7592085390464052,1.4088336253045275,1.0326128367703624,0.9834633069416282,0.9464106733487382,0.9471782902321926,0.9264338073112145,0.9025533798257579,0.9018495915145531,0.7623337732551158,0.7947694647192339,0.7697084155607332,0.966505251936232,1.1684598257026353,0.8941689549443173,1.0835475434604505,0.7740732903450634,1.02534960135534,0.8331948704667589,0.8170004899517109,0.8906536788369762,1.000697750183743,0.8975111664133614,0.9790846716954424,1.1438574725559707,1.158632687901006,1.0588696366422716,0.9491296435681386,0.8662641128973011,0.8724228291968752,0.8681776571984612,0.8701822196136826,0.7770437802770088,0.9251937499436798,0.8037141573052142,0.7005075365740745,0.6755804428950455,0.7327214026830375,0.7836264636879203,0.7083883521338334,0.7076536550687772,0.8648165264980373,0.8022129262144806,0.9450107523125298,0.8832641090874396,1.0025306738968291,1.257349428574852,1.1008851931807644,1.192434407301582,1.2389102153059588,1.158911001138164,1.0765548898311132,0.9595891003256021,0.9003370269666753,0.7891636626661274,0.8045611984158513,0.6946664640949616,0.7023545181426284,0.7207773356225996,0.7482971211870744,0.8319386978693732,0.7144674528572516,0.7260530240360475,0.6664820558352182,0.6892305299846856,0.6084489819809956,0.6234918728083806,0.7888145172393242,0.8561107341727905,0.9277937107162241,1.1087373520993866,1.1666124001017941,1.2748851730130784,1.3599278661466512,1.2834434421232774,1.2176127799915868,1.1695764271795204,1.0341740090530185,1.105230496567992,0.9672894191081606,0.8777775780184757,0.8539378279512675,0.9144937845228872,1.0746600803324982,0.8414917023915006,0.8054708656694507,0.8865027890597067,0.79821194298009,0.7748880429671323,0.7778623434090816,0.8182895970225178,0.7973697860279925,0.8811921435990627,0.798924967727057,1.0027890472250898,1.2431975345671842,1.1507348339974024,0.8394797285961625,0.7609623899175485,0.8687999063814502,0.7969717172709073,0.9143003155016624,0.9232348627692376,0.8901811062843072,0.9144146690364876,0.9849611200080053,1.0382066639061427,1.1697901738299439,1.1739542381450732,1.3170405296649819,1.2829163296979138,1.1740072382064044,1.1139930958252913,1.0079449288551758,1.051811458916129,1.0413674380545255,0.9946708890563141,1.0306749160119124,0.916771264051067,1.083178880552239,1.0309892041117252,1.1304046494296804,1.1068748327096092,1.1035046703728804,1.2449528828933243,1.3230404982237485,1.2023232671346065,1.1576001312617088,1.0717586111982444,1.3220015296156633,1.87026030885681,1.484058128478407,1.5234436097458255,1.3423655162877561,1.38079692753481,1.425115943252473,1.4350420018308285,1.5659642920943664,1.4803772012588197,1.5030810736760867,1.4665080910777886,1.4021207791608068,1.373191266245057,1.2974676603883415,1.245937514232664,1.2894502856854,1.2901263326643078,1.2029497282465946,1.2027791694846606,1.2549569188252558,1.222905907270257,1.1718032878417362,1.2254124769916992,1.2669072435393374,1.2222009850556614,1.3244889129155673,1.43282700549818,1.40457104240927,1.4436871228994337,1.4069066327799598,1.3636703047628203,1.3885750235241037,1.5790350911767612,1.6163670592351218,1.6094321889519014,1.5757130651900992,1.8070734321874975,1.5501414138580107,1.4742858287356886,1.5872280434451884,1.5870497243816772,1.4818222917675952,1.7017503202185091,1.9501764834458106,1.8548802799606456,1.737387714294737,1.7639080054453846,2.038909824515484,1.8418215819273533,1.682596591557973,1.544864372520348,1.6103021868293719,1.5221830313112519,1.4152499189154681,1.4190894798372107,1.4767249483637082,1.3458347292875343,1.3457641907566114,1.371820426242321,1.2803406835246975,1.260116290421624,1.231638321599224,1.203828340920515,1.1940859761805234,1.165036528878525,1.2232160203600593,1.2105565101825237,1.2848803966319593,1.26256348301895,1.2819401049711987,1.3110187759535,1.3238985803869507,1.3279802459108787,1.4396019129596094,1.3640755551111798,1.320761179259122,1.392657232513579,1.4390035343061378,1.4072266699875384,1.399954624020517,1.5364636956390725,1.6959222781660133,1.4368489049772253,1.562479243744702,1.686824796997465,1.7256189236363488,1.5838658934157086,1.4097553303482737,1.6251794962868877,1.5295556031598998,1.469465997596803,1.3432819016006319,1.2655662968491226,1.244922925997005,1.3334928347998043,1.2102541847563386,1.3130702262937501,1.2825698614403391,1.3225531731805307,1.1803380344947947,1.306713106298447,1.0990709627215522,1.0073992003939842,1.2967248069484565,1.1182070097212438,1.4009025826537582,1.3592893648683129,0.9656021473026702,0.9137201539386487,0.9108202647039112,0.8095822607783637,1.3206694856719152,1.2310756037149446,1.2208172395948722,2.242005767969296,2.7688498568964905],[0.9861726488467565,0.968826547743179,1.1888603309469694,0.753741958783628,0.8514775678223154,0.8354850233113065,0.7921792756578185,0.8285761714002731,0.7457613455048036,0.6819545873683379,0.6681799572964936,0.7345934690698269,0.7141115580759365,0.6410168252913855,0.7103953165595173,0.7367570323873924,0.7435895605926629,0.7962566604716173,0.900693482924561,0.8858648000638347,1.0053995598369192,1.0835465027779512,1.2937662134282504,1.3818461162325166,1.267105420847818,1.025225661923023,0.9576883005375808,0.8209203118861298,0.8222343914958155,0.7925913674925966,0.7781673348018251,0.7914075280154944,0.795208608612771,0.7980986687124633,0.8323879992706703,0.8615334760652007,0.8646122242301933,0.9527086834312988,0.9523904328064218,1.0539249237248323,1.126481895612827,1.0663280072451227,1.1604697140149762,1.3393781832540277,1.8369818778323237,1.9701679010984032,2.2616960695745685,1.609744365717213,1.4598224154693282,1.8224014929378038,1.6426327232564026,1.7797523095233783,1.6202480043282335,1.5367523788992288,2.461105954667222,1.5187173920772141,1.3300144355230548,2.070761018942765,1.843264048553263,1.5046294808876428,1.1300808344995306,1.0597012732397766,1.0254079841380945,1.0861643574501256,1.0628544713453985,0.9966554076744377,1.0292003168300237,0.850884326698903,0.8873802936724049,0.860607811192972,1.034621594481084,1.2359439782427724,0.9613717102089133,1.1619212155221965,0.8595438123451752,1.0773168707596628,0.9061502035636781,0.8888266626440435,0.9524016672495779,1.0587765758185606,0.9666082531931199,1.0469289977367477,1.1702930349331275,1.2253557009537615,1.1028098771541404,1.0002829696000506,0.9417825993917647,0.9081662345307007,0.9233518610813076,0.9120147758819763,0.8395972742727975,1.0108065482752153,0.8717198510770876,0.7518522938698664,0.7299083105823791,0.7782249524154443,0.812039067469007,0.7635526473719568,0.7562076817390001,0.9364030959272028,0.8545851139490738,0.9844557931894747,0.9202264850546015,1.0487869636908502,1.3192938735033821,1.1439697273749185,1.2832875779140556,1.335760534937493,1.2444964091000421,1.1466593494192234,1.0184008220765937,0.9318992847541047,0.8196906388238583,0.8233544850656894,0.7106501006975422,0.7441144516615227,0.7862075751222476,0.8331102779120878,0.9441018463411608,0.7798660959691994,0.7894888004942282,0.7140675096948312,0.7352672380085523,0.639715768247767,0.6518828826189106,0.793512518654929,0.8739029974700673,0.9467184659622193,1.1477242823647533,1.2075483109888516,1.32816494435242,1.4346577815498074,1.3438152106540673,1.281909837917983,1.2168306795605413,1.0525755173425153,1.1049923400295187,0.9709885207400184,0.9140209224295914,0.8840122653065938,0.9823332973838915,1.157424498913005,0.9171740419402665,0.86799710629396,0.9604048361051748,0.8473604162504224,0.8204390176553533,0.808155075478499,0.8482494565354064,0.8193189665583431,0.9295428216615179,0.8555354044127631,1.0845898465253507,1.31839387826355,1.1915469919800115,0.9083170046753467,0.8100182451120576,0.9223790635365107,0.8346344921317613,0.9549261750656689,0.9541688679461675,0.9187172411515128,0.9512579183694695,1.0269520793484137,1.0869942312730232,1.2088702677509113,1.2296658783748757,1.3776941345374152,1.3278793881977626,1.1833956180378453,1.138483707128318,1.0224267791071102,1.0831345795693066,1.0786773789325128,1.031132832374352,1.0682052376061808,0.9563258934119857,1.1272413262473793,1.0728035890620597,1.1917968117571982,1.1460593075852088,1.146669426977065,1.316561962649742,1.4087289021270428,1.2687163826629635,1.2511798760422304,1.1537111653425054,1.4120853659531691,1.8553831725803025,1.5711802290730243,1.635247705870409,1.4102815144725784,1.44618151610863,1.4868646528927614,1.505054716975425,1.6607462688311554,1.5673801819079327,1.6105497017262562,1.5675262164506036,1.478003382874495,1.525501822797308,1.4247590909135817,1.3342414613991471,1.4154900803438046,1.457690802055487,1.3286818725230842,1.314573177346293,1.4214393023685248,1.3982129819779507,1.3106667967907935,1.3861374602679524,1.4509873603465564,1.3714422795604913,1.4471202057661614,1.5851065686637595,1.561682271948276,1.6695476136157028,1.6610105554394348,1.5944177904526589,1.6634589827107797,1.871329912185346,1.9694309221844641,1.9136477789459614,1.8599098246734418,2.0380440843764687,1.8218135950284726,1.691646483756194,1.8494555431485704,1.8377298372442417,1.7007377773421588,1.9031378331558317,2.221686691503804,2.0750470395511895,1.9253175085018843,1.977018817786405,2.2694191722465944,2.051313296968184,1.831084537677861,1.7115743597843642,1.7620188662950487,1.7020517208382526,1.61214814108871,1.6095483922033036,1.6479996890064474,1.5024611870347129,1.5194378479751924,1.557672417253315,1.4409418781989587,1.3940808658317503,1.3946427535589814,1.3805006532605737,1.3292617431644036,1.3126108269808403,1.424617140899655,1.3959734939531985,1.4208576761553982,1.4617419488285932,1.5174757773232463,1.5411854992802996,1.5633784783920341,1.5376833449878153,1.6875810217307297,1.6249903378949055,1.541043758246504,1.6135240606033259,1.707558893198501,1.6617595170956947,1.6116030282865994,1.7930468416189533,1.9485635249660496,1.6662611925475321,1.7411910807605109,1.9799223119407743,1.9984787764743819,1.8101353779242086,1.6090715764076096,1.9339657140958306,1.7472542873482602,1.767846609943176,1.4967876777667384,1.4183766423489736,1.3428427158904759,1.4096484200934998,1.3001361314316875,1.3790561565935273,1.3431622164629913,1.418740850769422,1.2249846024282185,1.361692020844586,1.139891646045928,1.0925270411757142,1.3660503403559012,1.243388269978103,1.4282124795760962,1.4444387954935514,1.117629412910353,1.0663489616572204,0.9934636140939612,0.9317641926642486,1.4647040427911737,1.3951938153678516,1.3455024418291066,2.401503705455021,2.9846521569265176],[1.1190775312676857,1.0779806424182206,1.2372908139544547,0.8983310689605242,0.9911606650019622,0.9815019351850648,0.974956222590066,1.0175724418457972,0.9356736656386203,0.8648467429428481,0.8497765453943406,0.9275676214883419,0.9075814174564741,0.8090764391237228,0.8585726807388834,0.8981744838783686,0.8873672842542688,0.9235759625571376,1.0088335351467734,0.995721908074217,1.0707256989303373,1.1820438965749243,1.3482416628146996,1.4218763760557773,1.3103108952466151,1.099887854713442,1.0869554881179257,0.944061803646662,0.9745356966226287,0.973748558074489,0.918129181701763,0.9937958977387394,0.9989843525869985,0.9879344229979741,1.022264064049977,1.0181092458746388,1.0597886821084213,1.1218478347290683,1.1340661288761882,1.2417478326063303,1.2691877819062798,1.201710255444687,1.313302335699318,1.4825631534279649,1.915438485417643,2.073406894015304,2.3567100323022605,1.737621677906209,1.6444317642160309,1.9501472622056004,1.7869069172912928,1.8660421029538135,1.7981481253420057,1.724106400373924,2.6154372004747346,1.749200545104605,1.5171858308443382,2.2558807805139,2.0336489646616185,1.6375944199386716,1.2793200109048526,1.2166674098318955,1.1595379288969927,1.1720063322983665,1.183567945711469,1.1180016246001878,1.0733686003782013,0.9575381297400396,0.9563993284267065,0.9292055287095926,1.0703368876635895,1.247537837625915,0.9971442346157809,1.1632370558678689,0.9532921056184867,1.1064480948403186,1.0379248787152935,1.017864959192604,1.0943246319374291,1.1922711664643528,1.16522432579611,1.2367975849286406,1.3332502015072718,1.4209999948606724,1.2904175268739144,1.2036171606496124,1.1110499782687246,1.1444756475868698,1.0591422403719841,1.0608082894290087,0.9872514860277714,1.0776538972515797,0.9633671893042371,0.8781793655165934,0.8688269913662581,0.8952609654273443,0.9511049245533933,0.9426063445921324,0.9383518804787687,1.1313598874257431,1.056517846625489,1.1689186309790396,1.1215132597940467,1.2128255727448556,1.4190080845359505,1.293885474204907,1.3977704354631977,1.4399517257483623,1.3521031557981966,1.2898525947466617,1.1689848536000333,1.1137215669096803,1.0113314700875011,0.9975543599887823,0.8879159503110734,0.8713246338340319,0.8873572380969791,0.9020121833930372,0.9672938137299678,0.8631909712122822,0.8560575185371404,0.8092192069405513,0.8113212125583786,0.8098916815722436,0.8386081152568385,0.9726009589824862,1.0498585212228835,1.1062290343593522,1.2782969706540102,1.3512055646182495,1.4318358952818377,1.5317981951107618,1.482075312589982,1.4325413499084758,1.3780478250097672,1.2309575007433877,1.2441778748317127,1.121470471286095,1.0214742062377467,1.00912615480402,1.024269241669864,1.188145367806172,1.0123052635209884,0.9910962642273682,1.1035509798106635,1.017828123504391,0.9921516345564864,1.0018261002622855,1.0521349343155084,1.0159290980400324,1.1219606128960875,1.0332562623747812,1.2463006579208455,1.4470124815399712,1.33077078740564,1.120418745481639,1.0214266533318987,1.1250773800792186,1.043599161381651,1.1345068210282043,1.1371830087221373,1.1126524350136235,1.1132419836396747,1.1964516567294112,1.2647149016569788,1.334533826260193,1.3803095477835674,1.4883202667647506,1.4509974545600464,1.312388630990558,1.2838633294516066,1.171867967374057,1.2540452755772233,1.2608264762077266,1.2293834286941192,1.243466648767795,1.1635401355610098,1.3139304601426547,1.2709916036286442,1.4022529292918153,1.340918216704692,1.3075494632904214,1.4641985410177214,1.5710921056021012,1.4417433196000609,1.4453561141846665,1.3194457432692113,1.56982950330775,1.9114961257965293,1.694535006155162,1.7382151164217383,1.5548234497817426,1.5752084107806186,1.6112739418144584,1.6384227652719818,1.7881900070712826,1.655565685919498,1.6663584365591102,1.5838911232931177,1.5041703407928146,1.5127427901280879,1.4335701662129525,1.3654895445761825,1.4082019199479288,1.433219712737502,1.3420692239657197,1.3308460504928397,1.3881279849475245,1.3901264554226684,1.3444921687880107,1.406917527589835,1.4477732509112278,1.404151004300958,1.5070349410386314,1.6005427364867968,1.579465240579576,1.6164741670137397,1.607146183797243,1.5079519089075415,1.569725937850508,1.7046844709343636,1.8270926275105082,1.7395128197906546,1.7303166230136982,1.928976289181527,1.7229270274351258,1.6365046082283825,1.7631566048756904,1.7299331056479297,1.6037247986338083,1.8364506861998036,2.1027539717270485,1.9207984571235566,1.8460399962178227,1.9460941285187974,2.152479802503364,1.990435744609403,1.811636978086226,1.6753423767805817,1.778413513075521,1.6961655779979867,1.5808631613171595,1.5922364588857307,1.6080249062278547,1.53204544990933,1.534804033008054,1.5569644881146794,1.453553404824036,1.425493274630946,1.3949296651124965,1.382547722393017,1.3500247871572875,1.329937404477363,1.411383979231503,1.3984989916742245,1.465978314474032,1.4561565840114146,1.4704334985494167,1.4873930465289595,1.4981207984478746,1.4961776278998307,1.6091068662735213,1.526743663836951,1.4799557421190732,1.535152744990134,1.577131272083656,1.5475208443869177,1.5217690062805538,1.6330027431833058,1.7479300453323205,1.5415236692802572,1.6138822414473863,1.8021837564692862,1.8048925105450007,1.6399794311702518,1.505368497273615,1.8394526318271773,1.7197545638172136,1.7577624115048072,1.5262451658769278,1.4135567374510656,1.387834321254846,1.4889021980492452,1.356054213447435,1.357796924359659,1.3252401643715703,1.3796126288591983,1.2602993754278056,1.3981975916688265,1.2403948006408998,1.180104395351295,1.390892652765607,1.2949558088131166,1.4293988868784935,1.4996299296540607,1.2377091767070303,1.195909720874184,1.1456595066984296,1.0914135495665724,1.6406928238666783,1.4542878945576745,1.4770737521689152,2.486962393663465,3.003995305864154],[1.071958892033623,1.0166559120776784,1.147205843898843,0.827807674334364,0.9110786976928529,0.9055406156110508,0.9138937670251008,0.9521766182145273,0.8826347016405979,0.8315057376288071,0.8205704425210709,0.8815392031332607,0.8872066589604958,0.8023735327347841,0.8610287370416706,0.9085181547712572,0.9022839849355497,0.9555638466221397,1.044903828145778,1.030224333186817,1.1014791647866187,1.1971219859188844,1.3401522454636565,1.4216620730298706,1.3067884368402805,1.1334996632169445,1.1194892196278032,0.9870880976051416,1.0007723510990219,0.9805463776147743,0.9457640095518504,0.981445137924689,0.9941804336609561,0.9936090330484432,1.0233210951613516,1.0423287045987004,1.058702817415934,1.1316039887427551,1.1527302305066653,1.221855970611533,1.2858790042172992,1.2349260284473993,1.3307585507448694,1.5182106781381877,1.9811488861415927,2.178608788219313,2.417024013865058,1.769855321003081,1.6459432598261805,1.9887374279103027,1.8036659765741683,1.9208144446330382,1.7916777413135745,1.6746777187509214,2.580669226166554,1.7202008988779456,1.5032869530863968,2.201346411825742,2.0303121505551216,1.6253387099537573,1.2715734456551633,1.2167220862092472,1.1456983003840828,1.1686245484458113,1.17880280921357,1.1234930233662137,1.0937970810759572,0.9945467203419793,0.9947858209610507,0.9570080834514377,1.1218147174406694,1.2847648048169646,1.0378164998007775,1.2138165902759341,1.0059996667831335,1.1391919263537231,1.075658401027721,1.0562296489293914,1.1273474580380427,1.225292221472966,1.1685282429583275,1.2227998643584477,1.3293063031732864,1.374438589808582,1.2722419827317444,1.1975143040816112,1.1299994618897706,1.128976411236973,1.0935527607893727,1.086476694308836,1.0125363040741735,1.0967277949647427,0.9862301963045481,0.9037495574843093,0.8870525518513167,0.9124532058176196,0.9609131532345098,0.9209486824851983,0.9141761343687174,1.0820598720577506,1.0197991855129627,1.1183293147487163,1.085466231319443,1.167919500469154,1.4005812097652375,1.2342909462427154,1.3298433613624872,1.3746590710109294,1.2726792713434871,1.204953801585794,1.0867710903425374,1.0545012940346123,0.9569722832002818,0.9775841886268546,0.880437155120114,0.8903964762392017,0.918780078679709,0.943815818717472,1.0036771246175655,0.9109244813182389,0.8989972537460399,0.8400312061148415,0.8543041379894316,0.8070500019090352,0.7997849661555056,0.9445068817869098,0.9760640225699204,1.0595778386060202,1.2198781602524769,1.3004031484707028,1.3843721607808614,1.469322250227467,1.4361426233246282,1.3778202148354857,1.343695636396067,1.1937700915825804,1.2024630617200653,1.1059512693599265,1.0352071969285839,1.0271474508767109,1.0525869981874378,1.2037027369409243,1.042460590107787,1.0217187951613929,1.1367514327343224,1.031667893258659,1.0037696259750712,0.9943058639527723,1.0163547607845145,0.967545764415807,1.0511829039449512,0.9619976508504638,1.1764224089034125,1.3561264975732987,1.239908524356822,1.0516808849000183,0.9663256505903921,1.0646403105917543,1.0048927482184626,1.085190721530841,1.113571572479495,1.1086386459217232,1.1295049901835252,1.19821633451581,1.2430808266173232,1.3466401176293186,1.3563426205979991,1.4571206164269117,1.4137295196964201,1.3035348296133848,1.2721441648259433,1.1601842352295515,1.2334511933459282,1.241433691764376,1.2046677031139499,1.2151589952554716,1.1280758259615091,1.287522101982034,1.2493010769822677,1.3581810270205579,1.306037864005029,1.2722670487680419,1.4264025364346122,1.5137358501517875,1.397931224471949,1.3923404329384539,1.2887774934912173,1.5078560354315194,1.9580307122630616,1.663567037278618,1.68503597730117,1.502230157685623,1.5275921507798014,1.5604579305476667,1.585652847528019,1.717886924733083,1.6066123913497652,1.5890933799061275,1.4992283045378927,1.4224874029348318,1.3898021215421699,1.3200022475214686,1.264626613959297,1.2812446033688527,1.2879083503405646,1.2208258948001967,1.215513191571455,1.2422207380052106,1.2493315436384593,1.2351157935514656,1.2980640838237507,1.3267004197340182,1.2954240387618399,1.430075256005847,1.5213405199255903,1.4968615770064668,1.4919524543413052,1.4723163939000645,1.3553521725003146,1.4063756403212775,1.511820031564846,1.604380377079549,1.55494105514184,1.5435353190409375,1.7855481337889527,1.544610501517418,1.4873000914727887,1.5858322825852367,1.5464909029819058,1.4672053434395786,1.696366782894189,1.9297375621325374,1.7777538328500209,1.723793056369636,1.8406726162710387,2.0362111841235073,1.8554192682391164,1.7348606009356524,1.5634857227084331,1.6781393747296294,1.5713696242367743,1.4485649023199907,1.4658637843108828,1.4821951372968492,1.4169048242318205,1.412885453840397,1.4163337721797666,1.3287505032822913,1.3215155168945985,1.2643767633650573,1.246269585378611,1.2361690486295056,1.2047982823847956,1.2665801245261055,1.2575846628290734,1.3493243853742551,1.3109569325290849,1.3110755409746258,1.3252505171991011,1.3203891474770055,1.3321051033224705,1.4305998332126935,1.3427917533210785,1.3118690856677953,1.3625299148316004,1.3866253221856981,1.36720587401523,1.3563665029542895,1.453548683703633,1.5789795631539956,1.3631105199422766,1.481558647605634,1.593785130466028,1.616651246392025,1.469892922791227,1.352985379556252,1.7629755587386213,1.704712730698046,1.623465218473824,1.4585485361577246,1.3019115666092484,1.3133650520611835,1.452946716513834,1.2836200781011764,1.2667821905142742,1.2086612430810444,1.2528459991812784,1.1675292403997972,1.3230837769637087,1.1731279062748474,1.0770541919137973,1.3051781018241904,1.1738988212019141,1.3511064022236252,1.4336006149904825,1.1181665138825045,1.068943074392415,1.0597853331302929,0.9863899822229678,1.5953260686381439,1.3321895850426133,1.41107337366264,2.3672064489563645,2.8800629301098675],[1.0869199772837066,1.0096789814044742,1.0644514004075125,0.8272082395439176,0.870982005136701,0.8749234455603699,0.9026683147238208,0.9204683163751215,0.8977189594174085,0.8661031175371176,0.8599095690273401,0.8771702690381845,0.924239413233671,0.8576581829150781,0.9139350298132761,0.9501975744879688,0.9730806514981066,1.0336491764366935,1.1349952348848948,1.1131759995936488,1.1762726806345576,1.2622427977054873,1.3895509427060324,1.450210940684218,1.3469328571874006,1.2081965924893885,1.2022619059160733,1.062995256267991,1.0693872393249249,1.0233981005415078,1.0006676517085693,1.0058817218013962,1.0073404939220385,1.0351196709854324,1.0614425465039503,1.0932328290834148,1.0829520810713467,1.1856183046254734,1.211595106414876,1.2652956354206484,1.3484026169872738,1.3134306024020133,1.3991039381197057,1.5811118034499871,2.0441116131766726,2.262521506455998,2.4536685519001296,1.8216550596592012,1.7053385947957975,2.036556586200567,1.8185895767033027,1.9542964793024633,1.8040453935175542,1.6930138607194194,2.5999526794427075,1.7525774174208437,1.5443923322283806,2.2408268118881214,2.093784094264175,1.6627058431847401,1.34607578585156,1.291330786586738,1.2035452875289694,1.2301410032492939,1.2446291289100515,1.1945634859758554,1.164899326126474,1.075360795983397,1.0950345621094657,1.0467103980395989,1.2008090767903103,1.3648056366346966,1.1160914763627239,1.29283285807045,1.0799553329894516,1.1924494349653862,1.1431228139795928,1.1139983337853074,1.172006811275284,1.2619186643096347,1.209515672314151,1.262095685384356,1.3347079748235584,1.3911940103132243,1.294177042553115,1.2210228731018697,1.1783885200291784,1.1515224787387652,1.14793488392072,1.1488045257534585,1.077004320705735,1.1509335378672858,1.0522231452970277,0.9491051104232312,0.9271215519100946,0.9439979463318656,0.990565493460273,0.9274604392002482,0.9020788646620717,1.0422447732684157,1.016355398307116,1.0667586749623874,1.055236784713113,1.099250723523225,1.3181936395026304,1.15314301262051,1.200453577537964,1.247698712232378,1.1253141066720433,1.072016659929551,0.9917706667165158,1.0045390120682858,0.940261981089149,0.9844783794807077,0.9248860300596946,0.9542887468508475,0.994375755842945,1.0434868672485174,1.097863102302404,1.0057826896764808,0.9828605554375481,0.9198538091194408,0.9333718873931449,0.8666625001172049,0.8333287560225388,0.9464559459372512,0.933113935314444,1.0217996850212328,1.1296000025186723,1.2159614977921387,1.2820884890712498,1.3437231772166303,1.3564920223200296,1.296336084453311,1.301145344062274,1.1782938905697702,1.1773661288571435,1.1249650027479279,1.0882008785069706,1.0940247012474797,1.1474449578212673,1.2867405269869807,1.1228724171040794,1.1014168550979708,1.2081938071297516,1.0920123714252772,1.0585058021167733,1.0226168158803848,1.0120972650405315,0.9665772741638993,0.9971508776432343,0.9184825466154823,1.1252985200843946,1.2886103871474601,1.1518459432777608,0.9940565709522743,0.9385334139898296,1.017240686951993,0.9928652250533682,1.042936746809147,1.10398696637856,1.1391286828071572,1.1746519893076095,1.2358212625641494,1.281956590505595,1.405203190150325,1.3739761542155748,1.4637621843691593,1.4225246927113624,1.3443071060479612,1.288290871464112,1.1914880944724244,1.2463077359056285,1.2377570843549381,1.199464204704664,1.1860265773643799,1.1243573274394851,1.251003667668201,1.240725536151913,1.3258315717532654,1.2968505397462633,1.2245218148908639,1.3819314997591157,1.4748870640929663,1.3842139551133699,1.3991653934541484,1.326836195844001,1.5219530750973909,2.0281131446438634,1.639244156640149,1.6172734847131691,1.498043407211596,1.5028817594528627,1.5242433471314123,1.5123441248279246,1.6101474396008695,1.505663939699673,1.4331278043019846,1.294439469244388,1.2475495869169322,1.139781481434656,1.0961551134940533,1.0680210652941757,1.0254089819675682,1.0139843018584191,1.0067856647712397,1.0252788878869223,1.0000086724002448,1.0157521866067747,1.0861660789134353,1.157031039652011,1.1614179832951428,1.1508031984160254,1.350109683444308,1.4211392738877036,1.3969849728872417,1.325511928723944,1.3217349779115461,1.1281732000414009,1.1675541525511808,1.2055015587738735,1.3627313301068065,1.3090223408807833,1.2916125925035624,1.5147193843438391,1.217218070660268,1.2048966263866663,1.27892810320561,1.235326026101269,1.1463613051572412,1.4131224315775601,1.608463292008943,1.437566266590161,1.4326197110739798,1.627581240332259,1.7627689361036387,1.5525249987507883,1.5490219323587762,1.3002757473416484,1.487197938396915,1.3377673404467993,1.1870314794587133,1.2481405367594138,1.241185181590395,1.2102115789975652,1.1936518239576066,1.1897980329240936,1.120762028307709,1.1427839749527184,1.0371973860346893,1.0213816693508433,1.0627416639271143,1.0060892126779,1.0327884272769645,1.0444708682529038,1.2108542162834612,1.101117565700537,1.0657118140728647,1.06092350098369,1.0231552881970911,1.0411171804818917,1.1313769527484057,1.0335607274729668,1.0211183162218795,1.046741754981614,1.047397144610397,1.0501031218812182,1.032330048755054,1.1003307973499263,1.2558267281080566,1.044972946361748,1.1448907435936133,1.2356466365834748,1.3439983890842742,1.1854264959494636,1.1326404127968808,1.7029145209487346,1.8367108273725812,1.5275818632346578,1.4462369115473592,1.1796281472317598,1.24970060670071,1.4810354931237508,1.2483880574010813,1.1829579093462694,0.968018074430057,0.9937927650529086,1.0030968740821242,1.156770413165973,1.0672601005256002,0.9283152074544995,1.1212448196291813,0.9792626659162461,1.2224277613740615,1.2822172745655203,1.0021581297170299,0.9328773476234103,0.9768989194240252,0.9209159529323561,1.5937944823565382,1.179799050565618,1.439764598058216,2.208086966981274,2.6765949725166287],[1.7065228721786696,1.5926935867527925,1.530042718593435,1.2976430692357663,1.295794457020679,1.2944276597452378,1.2498657887599762,1.2912805139159564,1.227448191654474,1.1359397495869497,1.1277110658450331,1.1817153491252856,1.1820056871632487,1.0842732287347008,1.1338185125037172,1.1755883053402167,1.170254147548361,1.2086487203240108,1.2982745357994805,1.2820486981348864,1.3570134554236803,1.4590228183407987,1.5948758347558043,1.6644607820083566,1.5451867340259302,1.3948186894694272,1.3790787231914985,1.2340396382014278,1.2487918131818432,1.227856292294019,1.1998461305121013,1.233888615876938,1.2400238825765988,1.2468934634878261,1.2691067747207752,1.281768411894109,1.3100870478564508,1.3786500699937427,1.4049750442727176,1.4874324187166035,1.5599667597839486,1.5071881910818825,1.6058913508092028,1.793121522947939,2.1627727720817,2.358371955975177,2.5817245079192386,2.014446457798886,1.9106002646564513,2.229062527927324,2.062504647110398,2.111251732987272,2.0021997784869163,1.8291995551816893,2.6773069273474643,1.953334241870724,1.7567086401972174,2.368641890197346,2.229987814018871,1.8664603581666432,1.515701442376527,1.4900913853782491,1.3898147937192107,1.4407707075325542,1.4377728550091726,1.4007585614808156,1.3174514701900562,1.253363140962864,1.2570097389110906,1.208331319382614,1.3197910574269243,1.468658448023784,1.2631264942705414,1.444745980855499,1.2568223715739626,1.3524968410869886,1.3298421390446786,1.308646659279678,1.374550775633887,1.4651144388994053,1.42813316332114,1.5011882472446065,1.5431993933264851,1.6312654999175562,1.5204920286027899,1.4371117481858298,1.396294071430963,1.3815480300890066,1.341018976039331,1.3575314137234202,1.272015965360482,1.3068786142070157,1.225095531494576,1.1709178090606935,1.1512073825838414,1.1655226606259625,1.202417504197706,1.167011153904949,1.1871569722011022,1.37278370220382,1.296367820168875,1.3799289815540479,1.3162702198351415,1.3922418619947294,1.5485224312079653,1.449741474969815,1.5198877533234845,1.5369622096223492,1.4643299694250047,1.4176555459885523,1.361589282370661,1.2913363315177935,1.2376772154683697,1.192403627320254,1.1250554964007984,1.124910738053034,1.1397145185923545,1.194016992349149,1.250839875260501,1.1653701952792945,1.1364576314129509,1.078589126401068,1.0858173936604485,1.0382833314556006,1.0740512989247943,1.151321551817514,1.294142950687702,1.2894089359522873,1.3944787009592199,1.4431013982728955,1.5022750799627145,1.5904541710065858,1.5891815541197698,1.541703822935348,1.5140821156991677,1.372657136537815,1.335381747233642,1.2426460574986895,1.2041364665535237,1.2468875458082997,1.3058744892490637,1.4595158883800277,1.2951250539857964,1.2827625081836935,1.3722604377118446,1.2778451212842794,1.2305866267834735,1.2181820482765875,1.2564875449286312,1.2518549611044192,1.3307071362780527,1.297295510683036,1.5264118839434597,1.6672034231297743,1.4275447301586055,1.3398443292733717,1.2537066931107388,1.337411111780689,1.2511695342935454,1.3071503722737434,1.3053245145936696,1.3320964778508873,1.3557151551334994,1.4424309676481393,1.4886804340883593,1.5931903579935922,1.5961608287857292,1.722703255676291,1.6311550862087691,1.5024741652675437,1.4644212759748878,1.3617069577869838,1.4542906976663448,1.4580962535725022,1.4280776694028474,1.4260116994251035,1.3547564985872393,1.5037991084746603,1.469138362981397,1.566394870867734,1.5358204067245786,1.4592930733045726,1.632871195377765,1.7524177834802173,1.6305495223818742,1.6585709272533766,1.5287595370005187,1.7656745640975853,2.112342090511491,1.919807926200681,1.9527307217382674,1.7492647599451967,1.7530490566298118,1.7404490547644897,1.751418070477554,1.8456101366102824,1.7063771452008745,1.6921441279177178,1.6329098909456727,1.5711674270704332,1.5857495757153828,1.5572825125048981,1.504213027055648,1.5670787871375156,1.6014908438590838,1.5781780218888757,1.6208305645607648,1.6777434673494065,1.6888813938301572,1.7108062621713513,1.8271801251628874,1.86717520860849,1.7993502909450394,1.9313094789361571,2.0654978485295565,2.052783282287239,2.0201253768934286,2.063574078161909,1.8768948012142093,1.909020502679928,1.8566309295363999,2.0179232779952314,1.8395434053989768,1.8381541239736967,1.9798792852854636,1.742345270213919,1.6667719844050315,1.7248284059001366,1.6497771589417562,1.5900357291031104,1.81860493665278,2.0015610753000934,1.818081131718463,1.8033803841367126,1.9063960197760348,2.0568887391465522,1.9419958168222364,1.7928056933730085,1.709269816184931,1.8045501495785814,1.692189987032988,1.623905894196572,1.6434011608630463,1.6933026297355218,1.6167846807164288,1.6055192320432574,1.7109498553124303,1.614002995753019,1.579621488903252,1.6004989744161213,1.6228779649529599,1.6299395452462226,1.6192579887265741,1.718544071910732,1.719467604375366,1.8074207565742242,1.8010966418517071,1.7939110689241804,1.7889771833397712,1.7004859225678213,1.649623920879045,1.7209288215427438,1.7100076129192374,1.6973840276858512,1.6182661637370501,1.6803173662514526,1.7388641356299577,1.6373173295306516,1.6119072366746892,1.8210283238799745,1.7277969218978577,1.6160685731075455,1.684596413400236,1.8625853527166722,1.7657460626102202,1.8846401103855996,2.408268494120097,2.4335246523501994,2.3038085903922276,2.0818042961995262,1.8690723822095234,1.8225221471291693,1.9674648841397937,1.8303792189036456,1.8645158214381088,1.6538685377079874,1.604170356548721,1.469860000771198,1.5023705337408282,1.3969068096794326,1.4113543144035254,1.5016394919531868,1.5522392017176736,1.5300064393598667,1.5814402030043082,1.6187878556924717,1.5488661798849392,1.397893287110246,1.4886932070441394,2.212158240545326,1.8151492193753378,1.874285284993869,2.7839317273275777,3.2556724585134935],[1.71546232560757,1.6153600858312842,1.4964079015155127,1.4170735095304146,1.3749892447415317,1.342476312825802,1.3082908486848264,1.3174625037755892,1.2993659345139728,1.2371591446202934,1.2305379903543634,1.266155970974229,1.2670665531546248,1.211629752398597,1.2479252467111244,1.2869750412974457,1.287156803063532,1.3285721659704741,1.4264679136138,1.3917393975567636,1.4454465956955682,1.539693972299,1.655451559194281,1.6990696873313862,1.5883810108748475,1.4842257952634603,1.4800658485326919,1.3471763025417447,1.3554438265833877,1.321715336337825,1.3094744710442534,1.3021848853942841,1.3073416505044992,1.3227516939554578,1.3381569625824619,1.3734326738039395,1.3621548275995436,1.4520916904735446,1.481054728995705,1.5252778245396827,1.6249923807157636,1.597882855153039,1.6836594016858926,1.8614459719944694,2.2623121555186736,2.493578729735048,2.640593048451771,2.0731807716764163,1.9839222040907483,2.2813779790261757,2.06191609008166,2.131630105149318,2.049212797348385,1.938689821143711,2.8403723425254133,2.0673229245541656,1.81970812051657,2.5234283173094445,2.4021568940711147,1.8962058877138022,1.6219770682871786,1.6032847923675924,1.4904430912098685,1.5358487498783475,1.5389230866080286,1.5038389884528607,1.4081231718966638,1.3664489480172577,1.3827321725890152,1.3241002814905585,1.4272142574403033,1.5476550664570554,1.3829620980405128,1.5439611244334417,1.390861937561663,1.4773355750475006,1.4277406890104507,1.3983085808676035,1.4483720429246787,1.5387761437579937,1.4925427703172642,1.537288826673295,1.5586783444995453,1.6153843232548306,1.5452906178632155,1.4819131560934988,1.461149529966894,1.4467268351135911,1.4230130248187145,1.4332969012266439,1.3585837853937628,1.3880369830595556,1.3234884934854743,1.2715815716084062,1.2555243953983397,1.2772989238683934,1.3179906768132537,1.244803276007423,1.2465231986741798,1.362934990614453,1.3234146737024004,1.3263033404710485,1.3070888045864226,1.3225180727604364,1.474559936650151,1.3586103934512197,1.3605965588960782,1.3680459887539436,1.286833044195823,1.2672611049460207,1.2819212429942972,1.2696995041670798,1.2680929034615245,1.2724765808208458,1.241704548373044,1.2508588779557122,1.2711024592525209,1.3176614613094593,1.3533095576168053,1.2943674294527012,1.267567019879629,1.2413775222620744,1.249262910573248,1.1911244187378889,1.198043053666673,1.2408267123409342,1.3269712211081908,1.2898606080153026,1.3176599679755967,1.3579115608810006,1.3930522814778195,1.441930837770662,1.5294536953994788,1.4602894544303282,1.4847582284924363,1.369805131639197,1.3364481304796991,1.303399847270949,1.2934601628220193,1.3262451305622636,1.3589444202075178,1.4974019048297191,1.377371826601482,1.3702408832706783,1.4820886961418733,1.3588969090696967,1.3205767931395156,1.297466675043922,1.287710662281011,1.2830032605870634,1.2886351836457413,1.2878501921864072,1.4899360879139145,1.6659469283174393,1.4139713779741596,1.3123345671100257,1.258279216269564,1.3055897072649116,1.2715640741855359,1.2820864278670205,1.3187882671815259,1.382795718442868,1.4068575711917435,1.4811186241932977,1.5276514278871978,1.6334118446479338,1.6134615596037962,1.7267485192751453,1.6472594112099839,1.5313533795180208,1.4864544612337538,1.4025966908273155,1.4760543313482228,1.475436967580137,1.4407726613246286,1.4032967872609563,1.367361511120384,1.4895636687022522,1.4799786812701041,1.5466274670915248,1.5438821898742858,1.415870324352662,1.5766514367795987,1.7038361163753653,1.6225816327998066,1.679914785322873,1.5622639063658619,1.7866769582287285,2.174140752331385,1.9075076934076287,1.8982932468032703,1.7475821588784302,1.7542051706846755,1.7286005282058006,1.719948665186895,1.7839799222883632,1.608460422122607,1.4857294346252534,1.3510040087250477,1.3229425102853438,1.2495513194146324,1.277802902342552,1.2860944650393784,1.2985181655125348,1.2957703504404388,1.3746904555166286,1.5054779856418634,1.4732616930972988,1.4475584556287076,1.6072401849650702,1.7166877568417096,1.7012910533736991,1.6763094540344332,1.86065414894239,1.9510891953004286,1.9611751484324869,1.855612551052265,1.938767938922086,1.6733716419568285,1.6773453599123358,1.5382913965235183,1.7721419320395626,1.5937301181361414,1.4536411318181046,1.5420525761868669,1.281178512518597,1.2829147355923967,1.3457463682516562,1.3014740425633144,1.2149460270058874,1.4509015197535338,1.5951234199752593,1.3728512502851962,1.4172208659592895,1.67740730107167,1.744249851163369,1.5427884199292168,1.5893584514298509,1.3340025848515182,1.5118072487127645,1.3820627721396557,1.2672939854023655,1.3399021676617202,1.3258487185517138,1.356838750192686,1.34895782476197,1.4317898696580356,1.361243066629191,1.3759600255534141,1.3326598065720017,1.3535322053432188,1.4269321767154264,1.4160756311885832,1.4280518695338764,1.453638434787914,1.609454871692488,1.5497424581892683,1.498879514302709,1.4854916543106507,1.3501097151405612,1.3039169581370058,1.325890028973209,1.360882248768931,1.3805158251117204,1.2481294680289294,1.3026607673689268,1.4059978864882126,1.280146149107319,1.2285387174201083,1.4825167860900894,1.4456727371722389,1.232046787472386,1.3419953688799224,1.6352588340251484,1.6059471712919289,1.8261127614715589,2.392592243137265,2.531882805828374,2.2085935616926595,2.1042697632004392,1.8342864003094326,1.8193094474964655,2.038857082323793,1.9216935710948402,1.9883765906433644,1.6594876633084323,1.4367988414290873,1.371120051123021,1.3166961742632157,1.322120492005792,1.4118407833958044,1.3203186861189806,1.3830119475944616,1.39806555064588,1.502802219561417,1.5961977333244683,1.4827577089984594,1.39216311754396,1.516111362223884,2.2228993917226654,1.723144608888731,1.7993137877306242,2.47442643051771,2.9448426706786264],[1.1662531449662903,1.0970005036342496,1.00984164801698,0.7973893637388205,0.8037306474965247,0.7649758900527526,0.8321088303777884,0.8697785410596546,0.8409408765308528,0.8927306604352534,0.9007528402899223,0.9430763798395222,1.0475070246199742,0.9491506376254735,1.0754082798743478,1.1363611557076507,1.1905145930565222,1.3262612307300887,1.4901983792293494,1.5199787000925484,1.6259051321695648,1.759707887385531,1.8727297745943137,1.9529931204282378,1.8367332386029809,1.6576425627645042,1.60496455139026,1.4029845175218805,1.3577092541513687,1.2461126026726952,1.2500146651710444,1.2038652920275972,1.2157795297892047,1.3184670615507688,1.3589467211933246,1.418187400693168,1.3666296945748861,1.5293699393413083,1.5918906485868922,1.7548127640223996,1.8272803988681479,1.769302459356794,1.8823948799020842,2.0723673683372645,2.414285004324618,2.562452167656064,2.81656497180959,2.296383220670443,2.1991999831583957,2.463502346377032,2.3113588519817956,2.3532935722601533,2.245660897580562,2.085629852939816,2.7970501957599243,2.2033681551604447,2.0498640736011104,2.5531890965015838,2.3716689014143624,2.223508940763152,1.840361900854223,1.7600630687676364,1.6849969402339424,1.7631178423283738,1.7531006039806307,1.678487496671262,1.578840956472374,1.4469343663882142,1.437418246192959,1.3092861284359951,1.420209865365823,1.572494736228089,1.3665858088510956,1.5877917254191756,1.4247799484124555,1.6013779592920556,1.5624739391844644,1.5314900409728571,1.5888600631021137,1.7003474470505946,1.5792966170907032,1.728103311404717,1.637701529210191,1.772095966066587,1.6566028982911605,1.5471837498615937,1.5845431933392362,1.4814526713633802,1.5426450515145782,1.5025389134616522,1.4129475381886227,1.456811409231393,1.3393268664064322,1.2096704130034632,1.1367811491339526,1.1048441526056245,1.0893179734215348,1.068505289556706,1.0233793958681092,1.0504665444414334,1.1388383490958556,1.1275011091074199,1.2350916325310235,1.19772092848956,1.4983119168661538,1.233494785086145,1.2539941194604656,1.297704344222672,1.1018604442836128,1.0798379435991399,0.9807648047489834,1.0644545436723063,0.9415914293214269,1.0492351311602193,1.0472369440618734,1.1250237560436893,1.2385279102396907,1.338069819129962,1.4539513711194232,1.2941189703344635,1.237224461741826,1.0964207153950782,1.0974459953405127,0.9396747314219352,0.8193120425842563,0.9414091282817891,0.9155949117391194,1.0107628679724827,1.1149965446597188,1.278839756265475,1.2598377161304595,1.346333339989316,1.481434892303114,1.4358817696292572,1.4821013575726116,1.3113631609623073,1.1865632696317032,1.2340337752783617,1.2346760475060723,1.370532159445084,1.4954159882999274,1.7272054481226695,1.5243587554868465,1.4689300316186942,1.5572628009703837,1.4063150427626716,1.3083580706967233,1.188862221177847,1.130859183556118,0.997608958777647,0.9973008691589548,0.9053956866732046,1.141803540876237,1.2294911878284809,1.0871471543456386,1.0056873109030615,1.0147546986931666,1.0665391399116806,1.1347822162125834,1.1791803148706932,1.2942013308326257,1.3995412590677156,1.4730051738162588,1.6133357995455628,1.7018832208217218,1.83797086404613,1.80050649809242,1.9502506443274255,1.8034372167945996,1.68729829276139,1.5847108781683572,1.4949538082403644,1.579041318541274,1.5280522506988479,1.4848615880399254,1.4197578702376283,1.363641089218236,1.478823216690628,1.5467165989104787,1.5752750701097196,1.608179522447372,1.4271273819389703,1.6545778075252566,1.8038587003157163,1.7377189961239263,1.8586185031814904,1.8242498388371255,2.0238133908506293,2.3672748298932897,2.160562679091323,2.1724655108906967,1.9672203435718032,1.884966469464628,1.813208927708879,1.6900996582938446,1.666604184611374,1.4934657757974823,1.3569886352556095,1.1368578451277378,1.1018675725087226,1.0496338859429946,1.013808794848383,0.965623863108257,0.9833595072822722,1.0019819109718404,0.9889116672907552,1.0762906529579803,1.1257294096342256,1.071099304477468,1.1526315604320885,1.3017619631155395,1.3256364749782084,1.2294508411628882,1.4363348127254276,1.5990959116988024,1.6076851846964824,1.5840963219045434,1.746733589911828,1.4448135450162807,1.4865564280719517,1.4954051664075945,1.693195793776176,1.6353216809527809,1.4385427586209139,1.499410584878773,1.219720785810717,1.2022425444801859,1.2493986889831983,1.307584925553754,1.1554382862870876,1.317323538575393,1.4845103185257287,1.2525219819999207,1.2538530119463298,1.602317527596694,1.6281107765324923,1.4364212980534359,1.3926711446529196,1.1719112611208402,1.418389853821972,1.2761042454426565,1.1490288314757415,1.2322667193582009,1.2208127271734117,1.2256805608449062,1.1834248313074742,1.2265494149538205,1.127771006736108,1.1146568693566776,1.0121382197978457,1.012534491241778,1.0672592420850362,1.0269772778717134,1.0911309332911496,1.0846852467812491,1.2198984979449883,1.1890759895906293,1.1943931848152525,1.209784098513654,1.1288959376149077,1.0831002239267833,1.1716897903165593,1.210746061136794,1.1390110281466694,1.1268087221254657,1.2438691053424031,1.2797591574797356,1.1453553521953437,1.2722057641883748,1.5134899956823626,1.3727556859316057,1.250634090902253,1.4770401234590547,1.7382374893556949,1.6384847966436333,1.6338644157960343,2.3623636282458547,2.3238130200105016,2.05357335591512,1.7896344976167673,1.456877592695247,1.3679747353652736,1.6342122066663773,1.488689048667652,1.6045638097362738,1.2289365575217446,1.114952095695348,0.917019347850359,1.0038760003862246,0.9611702183762874,0.996044525655768,0.9598716255566838,0.9133480651969526,1.119922027538101,1.2022069535372868,1.0747400684311956,0.916808528979837,0.9287934689595677,0.9324006836807429,1.6687651194025406,1.1049706090963982,1.4888748653082302,2.0146782886793098,2.5819460625320714],[1.1109511741179192,1.092385460353665,1.0693582998026403,0.8251403962975802,0.8197948495156098,0.7854913387007998,0.7963149022324209,0.8163632448567746,0.7815236075173381,0.7875969241213399,0.796430453382931,0.8217014039610869,0.88477071646973,0.8219628679327586,0.9106163097033749,0.9383238519996338,0.9867297408681851,1.093410002146317,1.2581432530310497,1.2162298001692953,1.3133468621681132,1.3982867068090798,1.5588446884424207,1.6209609815137815,1.4926660861388996,1.36752183370087,1.3193712126939985,1.1446403898632052,1.1042361544850705,1.0104452270030593,1.023224771641905,0.9638762297925568,0.9776059792946618,1.037355065040733,1.0649687512645003,1.1269402828495703,1.0760675609082262,1.2343002942361376,1.2619183133753151,1.2841547649033473,1.4380119717925364,1.4315086867087734,1.5051305233724463,1.6904570907236438,2.1405114793034183,2.3530055172062374,2.4975095903068354,1.8905121774912408,1.7728289612144748,2.0496179263094647,1.776547056488048,1.857445903339461,1.7573474160753582,1.7154185698819575,2.662274870534682,1.7932534730104785,1.6009454907374687,2.3538074468636703,2.1936584842258418,1.7196359593566521,1.4435488305365416,1.41821244083965,1.2965997130558162,1.3828535278372271,1.3730125182309751,1.3239452545907735,1.2735387807495433,1.1790313360649647,1.21222264275875,1.1131630828495118,1.2471680287103108,1.3923951139527058,1.1957774916617936,1.4034169863964694,1.1834609073840456,1.2979727293372025,1.2368850247222485,1.19225415741482,1.2441358157966806,1.3274335160535033,1.2214342836351881,1.2880946125373016,1.2808000893772211,1.3652474384398905,1.278904578554773,1.2039324510678517,1.2279679524403606,1.1525235169643029,1.209245474517024,1.1877970261015547,1.1224508239367985,1.1919635326759046,1.0845522816561664,0.9711942864808111,0.9294216024276459,0.9365558443170646,0.9689492248453797,0.8868948519593618,0.8476332413631403,0.895061373875345,0.9255171781623454,0.9095912201595326,0.9540494735972929,0.9564382459447888,1.1756559375228357,0.973372005942493,0.9938686856958434,1.0534224787048345,0.9183069575728073,0.893806746148333,0.8654371040825211,0.8674032066433722,0.8086258128504235,0.8640343949873073,0.8688727718324183,0.9373685976119003,1.0258313749294963,1.1390292393243708,1.2315513355953107,1.0799377138721606,1.052798952546812,0.9328718038474695,0.958174019733719,0.8020851592586726,0.709613598915341,0.7897298709963744,0.8760559200570489,0.8418875176769318,0.9240088268398512,1.0077882628922308,1.0115167047184748,1.0532197027923562,1.121381439913923,1.0828217285101513,1.1365155767401869,1.0301276914863722,0.9714952511472379,1.0208902680278633,1.0559411114356483,1.1211301319634506,1.2619488232160412,1.4074269299683848,1.2470435199685475,1.196890188076746,1.2874620533466634,1.1206247601566728,1.055019412055259,0.9584031446601792,0.90921696606493,0.8494960021012702,0.8549091375623025,0.8122158017680896,1.0368780704243221,1.171645914344997,1.0226870260122323,0.8551560931852861,0.8361995716092652,0.8760787356376601,0.8927797461956241,0.9207099299023398,0.9965372706386497,1.09361445315689,1.1735425243658713,1.2449220427693797,1.2901205152283957,1.4768838328549743,1.3637112016999358,1.4677282252136796,1.3908040600687597,1.3544079693409907,1.239633656795101,1.180398065642605,1.210666350730628,1.175192300878097,1.1333268203669726,1.0800776810853137,1.0458400919557518,1.1536676115563413,1.1813030627943353,1.2071927696887446,1.2192718298902314,1.080973844414644,1.236657335175246,1.3363564809543846,1.2884030690278523,1.3613390149638398,1.3113391909487315,1.5069546282129231,2.0222835226650107,1.6279632546323377,1.549401504425062,1.4643188179735487,1.4034973606739791,1.3865038600747377,1.2899162417228307,1.3328298864880785,1.201188745684972,1.114770659687056,1.0045598345575846,0.9847667341401593,0.9680252867368568,0.9435398042309897,0.9082402065304632,0.9697904167984711,0.9836391545411358,0.9915118633363923,1.0948879778899105,1.1144323442194664,1.0607580392358549,1.155711958937004,1.2700425713123527,1.2578009494157312,1.1980635405310087,1.3732382329995898,1.4639431285525122,1.4873978256732237,1.4549114228963511,1.552064103915756,1.3332266877921222,1.351971323776437,1.3189779849594057,1.521814642401995,1.520129653012071,1.3761861169448317,1.4048516799657915,1.1025092710885023,1.1108359693555752,1.1257772380553748,1.204527008344179,1.0845767726054254,1.1516224266591832,1.2865265523392417,1.117857120130317,1.0998747418623147,1.4280432843117177,1.4518064600997413,1.2575976526237276,1.2621489886889703,1.0469632149504433,1.2228473964722397,1.1101776058433461,1.0494920669927956,1.1364322604842045,1.1321671683985464,1.1450497299833193,1.105849750542526,1.1648869342843586,1.0910482953579417,1.0874552089962433,1.0039522735448725,1.0099642335901278,1.0711045399373926,1.041590898388695,1.0706808271563746,1.0757045801011076,1.2105611745182343,1.142186619628471,1.1331658781574825,1.1452685671441367,1.0763465543211057,1.0569297214894615,1.1190672127975427,1.140192604403468,1.1031557298991475,1.075628696333166,1.1482073651956257,1.1947009109328135,1.0965544102807399,1.1640096072975328,1.3486506982480073,1.2723862057426343,1.177196899645265,1.293198350477402,1.5426219335979403,1.473070901315751,1.5115295544100518,2.066786208083027,2.1562914244490847,1.7234315786832155,1.6410911221708517,1.4125908564915508,1.3561942318562152,1.6067362063476973,1.5019048798123584,1.555834095428648,1.2858069563882473,1.1391865964010588,0.9248741959571327,0.9200827877824005,0.8904984008683691,1.0036092378483064,0.9038015614344669,0.8539025935953055,1.1301194236447178,1.1676647691200874,1.06193532887862,0.91477324583854,0.9424643374423597,0.9520340433110345,1.5890057285381254,1.0519150689675856,1.695238778911353,1.9175093566611796,2.551550405855103],[0.9124422193008895,0.9005426307138851,0.8876940910254453,0.6648526570303458,0.6863688288529034,0.6261679562538308,0.6340445119645735,0.6392823182021556,0.625369141550601,0.620260457911439,0.6245123004434548,0.6400239269811469,0.706914127015127,0.6593843657772039,0.7624033942764921,0.7589182018137592,0.7999362601460017,0.8974351305039009,1.0549764182386272,0.9980950133528671,1.0940633949120415,1.1537906792311494,1.3271536235615637,1.3850329891120585,1.2805824263864471,1.1278961217660215,1.073943677752026,0.9308265777813579,0.9007854574067429,0.8025123486206647,0.8392218753410258,0.7600571914217709,0.7672705051725329,0.8265731619486913,0.8521790205268535,0.9128246289554659,0.8568621144423034,1.0111350881815468,1.0149449546829292,1.0510929350837175,1.1753180908344425,1.173686104998574,1.2436024424332441,1.4305645272306458,1.9353610090798405,2.1284266260047073,2.3194061607621417,1.6574676715284073,1.5131060772344258,1.8279976493211916,1.5682124319931021,1.7595209529697489,1.5599575564406207,1.5192142639068322,2.4739278556267736,1.5069437108163701,1.333471725906588,2.1229056735749317,1.9361250569635993,1.4997658002384753,1.188447975684473,1.151336593040156,1.081087777501078,1.1368468993881529,1.1265342153784519,1.0906806427949967,1.0783852849312863,0.9707792892302204,1.0297610114126097,0.9557719621406506,1.1243583444155802,1.2925004302769354,1.0500844549416681,1.2339337128495214,0.9855246433478385,1.1460514588742556,1.0135379582518207,0.9663994109713272,1.01752908114312,1.103056821523337,0.9822124529312161,1.0445216992251862,1.111463127114418,1.1605331371586478,1.0541118441521218,0.9662625175573609,0.9824595223316838,0.9254174971294025,0.9836793276040978,0.9702184462395722,0.918598238810145,1.0532105531855753,0.932053833376737,0.8042546145513733,0.7644767080597369,0.796158534005439,0.8319083075036662,0.7103954954171163,0.656861033680609,0.7156036380295281,0.7152988303754861,0.731051300100294,0.7611558698543474,0.779690661791694,1.028619330257039,0.783996823190828,0.8110574266415967,0.9160999849209593,0.7526067351148473,0.732857113833167,0.6924977097797187,0.6787209785904232,0.6335877432148297,0.6919560113796922,0.7032922404311719,0.7712748749081106,0.8457567181464584,0.9554793427891116,1.0532063799941558,0.8967926802865993,0.8862670877817138,0.7726688475388379,0.8003238793669379,0.6519227280508411,0.5719892713518538,0.6233182263787465,0.7090491420298191,0.6756190672580317,0.7603705866657743,0.8486119189912925,0.8580621852321033,0.9060239034672403,0.9447605073264614,0.9039293595270459,0.9250965955649928,0.835668978721369,0.8364867352960282,0.8703424034369044,0.9206287539587595,0.9237149485504556,1.0810603508985381,1.2306816712397044,1.0296355524694287,0.9610090236490563,1.041563209851006,0.8924262789988903,0.8362315236693183,0.7599742763280269,0.7119888929322247,0.672511688125943,0.6760374904442791,0.6313487734753707,0.8399157583311928,1.0308541271675187,0.9597603345086033,0.6749883512182834,0.6471306282927193,0.6853500086610584,0.7000603002540547,0.7302775222262605,0.7980769551326343,0.8615725165029058,0.9338694901998899,0.999864960451074,1.0351329487240297,1.2254167026529885,1.1209222822182767,1.2566891599073295,1.188685218423543,1.1447598003358146,1.0175498901694708,0.9619676988236171,0.9804005861030783,0.9405148525163323,0.8984314397092046,0.8725284180732157,0.835115667847262,0.9351803090079811,0.9541037024855605,0.9708199909996144,0.9824547948322733,0.8891538762925517,1.04239431205743,1.1286332890920792,1.063461952163782,1.1101891618736974,1.1204665980855741,1.3214984775608771,1.9388865553528998,1.4597637245458577,1.420631495028668,1.2931428418886133,1.2417404229989641,1.2347481338842081,1.1316367440928707,1.1962790036256918,1.0667237032050119,1.0030480350996136,0.8713752864002033,0.8557383635901374,0.7862646277498059,0.7501660578143594,0.7201456711446376,0.736001125365841,0.7449190321758131,0.7656653816876857,0.8393180324699654,0.8499530776969964,0.8228329986884562,0.9384334864959655,1.0380079522548367,1.02780561859507,0.9982127865916219,1.2091730960820348,1.2954518343738766,1.3023749413510493,1.2291340573177358,1.2595170487403984,1.0440705139486015,1.0718458718070867,1.0866975984479494,1.3350815098051252,1.274275387607515,1.1986430879628807,1.2734726398809437,0.9406937351541299,0.9623014089266259,0.9866505152092356,1.0596825809868973,0.9258576125933986,1.0207423757408713,1.1883394628875308,1.0284224440491136,0.9983481784623955,1.3517425955028053,1.4126240092947047,1.171266082576854,1.2103821494935363,0.8952824741988671,1.0839835960708282,0.9738912152695695,0.882907943342755,0.9945803305098592,0.9504280109218348,1.0012455789313017,0.9325940185583511,0.9619388249798475,0.8947667686292134,0.8968343109948286,0.7897812335777012,0.8003947870902074,0.8904219609279819,0.8308625530758118,0.8446680451955456,0.8695947983238773,1.0598600205660533,0.9244359084939692,0.8989182052323269,0.9031274752934351,0.8306821440300828,0.8205068533944441,0.8995240919497289,0.8861306677888225,0.8504563572187608,0.8471185305014137,0.9016712531883924,0.9318606795127448,0.8492048736404796,0.9491836345046856,1.1306899943365127,0.983800360047497,0.9816906630160362,1.099406626964265,1.3262029399375137,1.2059922640173493,1.1635385156367517,1.7425706883581327,1.8778231532206364,1.4122678642919344,1.3790276068064036,1.1324241262618255,1.1490736104579342,1.4380512303521862,1.2221822014056176,1.1750016058551995,0.9005258845720616,0.8423686896467826,0.717453919974282,0.7613526039338968,0.7125136003125199,0.8555310465471363,0.7610650289673732,0.675459677257582,1.0978579258636143,1.0355572915284694,0.8903308854923677,0.7271899709275498,0.7785086057812647,0.7860896637020727,1.3631637028586208,0.8625175743349514,1.5883953972876084,1.8298578756777026,2.3494392300192475],[1.025352918063188,1.058312656432979,1.0081808213540966,0.8729667896187716,0.9093484736961768,0.7122207052938018,0.6224990382544074,0.6111612982552299,0.5718270118135372,0.5349340433677392,0.5499530622047407,0.5521575450249419,0.6012187634845837,0.5860217150873971,0.6926111365091878,0.6783466037273977,0.7356468259270996,0.8520786788212543,1.0559616688054874,0.9661987063082315,1.080914859457734,1.1226069783563986,1.330911557702102,1.378557340082591,1.2728420972153482,1.1323934444234487,1.0527105559834151,0.8916702144773976,0.8366901020565369,0.703549369479047,0.7657544201068637,0.6518721615138399,0.6670486168858768,0.7377217305852841,0.7581847490566961,0.8370025540992938,0.7477691926688541,0.9374239550100615,0.9309153911498217,0.9427410129939062,1.1115434753482634,1.1323070694006352,1.1836106510387763,1.3731133444050647,1.8888037364165904,2.0938246587229696,2.234394281914404,1.5928415091125196,1.454292357422125,1.7552209135065644,1.4764670792164973,1.808341512151142,1.4726227459149999,1.3946286943218844,2.3673323312102736,1.3671925392400217,1.2320324037586272,2.014644738835028,1.8548967382387107,1.4435193112747744,1.1339460332548235,1.114554102010998,1.021506548638092,1.1066508656187348,1.0947586722140252,1.051920193790026,1.0664110429392324,0.9463585239120949,1.032545844065882,0.9415965177646614,1.1303514536330432,1.3030036440620383,1.0521293448146003,1.2627550291640726,0.9582649375300085,1.103153261970216,0.9695562438994253,0.905472446740635,0.9464328252579831,1.0313274292338575,0.8818744162209327,0.9436678621774081,0.9928357197133854,1.0433804741218298,0.961777925315005,0.8536680422261799,0.8956375277933637,0.8330578126686611,0.9111610728022803,0.8895129251584852,0.8568069105581776,1.0023447935492298,0.8827990577261313,0.7334085629767038,0.6901992272401846,0.7337867249967631,0.7807553592793951,0.6159495829406118,0.552467332731638,0.6021896928234641,0.5903451819273305,0.6280625983075485,0.6461911989876004,0.6828489645205331,0.9331992407443982,0.6974766395902218,0.7992831285614241,0.9670681470124135,0.8154550735438305,0.768201140606678,0.7301058619927066,0.5990833503115481,0.5383445911535302,0.5497877971648579,0.591601848658198,0.6941113193841058,0.8069373092720653,0.9714053099350008,1.071190974452298,0.8806397571112025,0.883736702252783,0.7451402222733777,0.7917168390662507,0.5848683344867178,0.4963340886072992,0.48889380010732175,0.7676545506269363,0.6210065716442342,0.7386534669440835,0.7898443481827473,0.8439472285015837,0.8933811424930465,0.8950336270012348,0.8222264133945548,0.8261495682836889,0.7169193426227519,0.7843044531264787,0.7476974139032637,0.8422170327114543,0.8762400471206837,1.122895175923393,1.2460988124152457,1.0456783818744126,0.9436494562896395,0.991314427228377,0.812804238639444,0.7441029291285687,0.6305900456833817,0.5764403358095326,0.5665832557056503,0.604924155625341,0.5776472006409269,0.8083099247504679,0.9939899639498251,0.9420287458464888,0.5853033782811912,0.5431291103023592,0.5740456102129298,0.5766254333605998,0.6379969345556018,0.6853798052330452,0.749815505324522,0.8418631367461434,0.9137573167710068,0.9524217828048946,1.1829583370717265,1.0461424002188804,1.2024396543097458,1.143445948003998,1.1024538890027842,0.9459454879598042,0.8800354364382562,0.8767339989490506,0.8243566469690503,0.7747263194527613,0.7427681470773455,0.7068961413761146,0.7890489874296701,0.8319202624475278,0.8389426832982168,0.8637412330845693,0.7840659782662329,0.9395695935299456,1.018993911720538,0.9588144624046606,1.006772544533724,1.019466388115041,1.2157728525017673,1.9059434801092558,1.3673578928140406,1.3133105999896653,1.2445855545859719,1.195594004843831,1.181653846558849,1.0753121614807881,1.1514846938351497,1.0580617992048353,1.043323989338611,1.0010407873372957,0.9608844207282654,0.9703507091336064,0.916876101263669,0.8712719130393757,0.9674839653431816,0.9679903364273328,0.9706304132890861,1.0704689754740935,1.0806087595217466,1.030892376290392,1.1159944892653069,1.199692439585584,1.1819481682828405,1.1338285210123382,1.3023031228166035,1.3734169323673788,1.414276686595078,1.3628565876846852,1.3741917858439725,1.2241089201624331,1.2387837553440488,1.2359337183991979,1.5630146471437023,1.4633547599191927,1.3967902943171282,1.347265896059554,1.094874051099761,1.1420379055018315,1.1278345648290473,1.2506549690541464,1.1330466078153307,1.1115511378210987,1.2320900954929548,1.1284022215455427,1.098281179051288,1.4479660715712859,1.4377345684204856,1.246480724527471,1.3074966398368162,1.0397258658720911,1.1120391536058418,1.0738693644476127,1.0534239856216656,1.1659292028166535,1.1006937281921056,1.1630683849540784,1.0978951978089613,1.1362150859496833,1.0756810433353259,1.0519957121258534,0.9903703871890388,0.998875303475304,1.064704166829723,1.0214950066677126,1.0492916323980088,1.0578618346103479,1.189036371565529,1.0849462395625218,1.0762125373937212,1.0873547556456156,1.0403346015891293,1.0324214035659793,1.081451817553503,1.1008235440103533,1.0729298425899185,1.062872555049491,1.1139164471190968,1.1403523662513875,1.0835447802158202,1.160273704000407,1.2688759624327428,1.1925639671742383,1.1764416775336881,1.2359311331191216,1.4373644058029909,1.3480858046845596,1.3363266645496297,1.786076342285217,1.9539738707523495,1.4676643951848456,1.465425441515604,1.3140284832236757,1.3152688428345354,1.5749404906041937,1.3954432478594128,1.3068265392960121,1.2003000468154017,1.1130788561722034,0.9819793704822055,0.9041587970274809,0.7973610747279607,1.1154084497025432,0.8395448058592557,0.8424619549718715,1.2215607641915498,1.0620522696443686,1.0811993625186667,0.8720372996839179,0.8397638070329149,0.9598527420282497,1.389918665600879,0.908573433940639,1.9710000883741567,2.036912268069859,2.619669680471259],[1.3290747204306126,1.3435202978259002,1.2886993319960747,1.100949937197453,1.0381584251055522,0.93369849095456,0.8613553789584757,0.8538364447283231,0.8322281357702869,0.834973529199673,0.844337947105115,0.8547725612236168,0.9070448459665716,0.892739855292247,0.9624560026103269,0.9832022295701127,1.0733411494747664,1.1870584736728997,1.3699281959441674,1.3069654386367415,1.4055676815115101,1.4817110621985234,1.641760998315661,1.6808413904699242,1.5762246440196808,1.4713650545117647,1.4319027365727015,1.255468728230084,1.1977659770562252,1.0527407292919262,1.061321218125202,0.9832640156697674,0.9819906414509594,1.0615892249840508,1.0876856019609642,1.1736441780278697,1.0992319872981555,1.2965777538683227,1.333318021770379,1.2995526472304566,1.4967662975117682,1.5257127967500081,1.5694386804373797,1.7449465111530353,2.1731791722725657,2.4126532140748385,2.483645863514496,1.9136217997977023,1.8134817856137553,2.042931861227702,1.7762624031745133,1.9590196870383785,1.7847063424797198,1.6680376098713114,2.601834125906901,1.7514785553029695,1.5983060658948067,2.295579641905873,2.2026122272327626,1.733298650825959,1.5063833439990486,1.4907849578540535,1.3245702134319166,1.4296277566935882,1.437762119594948,1.40491857193559,1.3520536004692025,1.2697378064768685,1.3203718740010757,1.2044371203597508,1.3462662405519976,1.4712168307357234,1.2938607532068682,1.5246282224139744,1.2565197001808814,1.3122570665963926,1.3008852176596544,1.2337521890469703,1.2888052650705752,1.3637028529058635,1.2507381356673504,1.2852546192426961,1.2977890767815152,1.3598578843932423,1.321019186629424,1.2357161014107043,1.2819245783195792,1.1716092271879777,1.2518982810777708,1.2191672542309648,1.1647329665223998,1.2152871743609959,1.111972110216275,0.9985390588542422,0.9620122659387965,0.9623320164856711,0.9913205191138882,0.8989450328497371,0.8445902285434465,0.8797303868554852,0.8972214448940267,0.8625832438684681,0.9194628090782357,0.8952887199113204,1.0988570086311045,0.8779768844242695,0.8703680909803317,0.9561530261903988,0.851080486620447,0.832606294716335,0.8487603996637187,0.8204066872962726,0.8168787226891875,0.9070564203553371,0.9425665468676397,1.0514031945325348,1.1409842137665858,1.2967776490279497,1.350377699382295,1.194310393227367,1.1577185206881564,1.0314063085637375,1.0693179933150956,0.909437574621286,0.8096553460367635,0.8575022953218483,0.9316958489849644,0.8159994612327398,0.8489961845547351,0.9239961879695882,0.9254062632984144,0.95959068322751,1.054625967309057,0.9975463095909882,1.0916607092725334,1.0286213989502633,0.9934558298478494,1.1504164606364746,1.2185346513123685,1.2704453402367806,1.4265512493899837,1.5668173893027704,1.4101278150550478,1.3395432287191744,1.4120613500072619,1.2120765620320912,1.148860888454941,1.0010358452001735,0.9019372643852173,0.8485235489414265,0.8326589988167482,0.816053369316395,1.00722716728019,1.1639235511180548,1.0220242811306244,0.8380857575275633,0.823868535438063,0.8370236610664281,0.8808141766845456,0.8671773159392393,0.987505965320759,1.1382122563864694,1.2759178448490311,1.3073104239060946,1.3583976626351193,1.6180905194575819,1.42027637331349,1.5132558738330224,1.4569540527102287,1.5081222522565225,1.3237295810408694,1.2813198979538452,1.2451311475253073,1.1879740385380873,1.1343784127659138,1.0409558614404377,1.0338886608853932,1.11545535886147,1.178319686261214,1.1600660306007935,1.2231291019482773,1.019518545885177,1.1701670444621124,1.2791643212509043,1.2786886686152226,1.3741173281851973,1.3159123341914847,1.5065222954465844,2.059771151466851,1.6299794442065259,1.4710496022353978,1.4992553747428092,1.4000484899291912,1.3615989230586811,1.2132965340251944,1.20902536105013,1.1312459375271395,1.0624659347363734,1.0307295570397548,0.9979530190989743,1.0515929203054313,1.0125158919681003,0.9784840165890246,1.1505470040862873,1.1560777711965782,1.1742683650357277,1.3499840372530154,1.3551477604571947,1.270577811369256,1.381301863725002,1.501230088693719,1.4739857173406206,1.4047452841025563,1.5612621581412467,1.6466806880064953,1.6911184424946988,1.65084724633368,1.7076273913878137,1.5439811117271487,1.5405964187229781,1.4697754244565733,1.7500998177410094,1.6798036934855243,1.5619261339540829,1.4420855813372055,1.1865411388694098,1.2134291796526968,1.1858101287856857,1.3512313257937123,1.2252669695691967,1.16082329563469,1.2759699992457527,1.190728621672401,1.1460997028212456,1.455508679518583,1.470280780031246,1.299844463477214,1.3360869381827347,1.1024274563672787,1.160261068872893,1.101958533690294,1.1133781201793898,1.1924971480843118,1.1814698347483752,1.181031953437244,1.156681401007893,1.2655785357244391,1.179345944246112,1.150927413992884,1.14613895097319,1.1606083861686982,1.220187151854223,1.2208913233722782,1.251751110630626,1.2663391859274484,1.3880894536410626,1.3443664188138735,1.3310074742051332,1.3490868451961913,1.2598943934742326,1.2189787068570594,1.240314331573301,1.3316578100147693,1.3076614709990493,1.2394585623694099,1.3250086294881254,1.38983154628217,1.288322319260023,1.338130031657393,1.4882573386346936,1.4642968564357286,1.343344851861109,1.4031443510323414,1.644920302954837,1.6019910373422326,1.6808856064426945,2.064489194166632,2.225433646357029,1.7989575885403248,1.803901799375398,1.6610436478547315,1.620757376000693,1.8626381470215667,1.7760733777974278,1.7066808143719332,1.582509670723251,1.393797508740929,1.174626368461004,0.9684784762326362,0.9140686107098078,1.2312846918606584,0.9414156885108949,0.9674426836195643,1.2064949296237286,1.1904099429249424,1.2721812139876132,1.081013394082183,1.0309793757400785,1.170966172753958,1.6925499615704305,1.1700581181690697,1.9969429080285814,2.0344880260789315,2.691966912593564],[1.0814904493367354,1.0582974872464221,0.9741982396292085,0.7892098007165039,0.6819302961559178,0.6782604076307973,0.7414652910625921,0.7457725334728924,0.7650938213883413,0.8156780428635658,0.8200061397609386,0.818548908600674,0.9221208153420847,0.8792815070720069,0.9550141492516943,0.9964425767980507,1.0805006292221726,1.173276520756818,1.3183334205190547,1.2663694879840592,1.3330571218506528,1.4043112666525184,1.5345554389032332,1.5532671562102787,1.4826127092954027,1.3834959565274063,1.377514498745493,1.2334352551807939,1.2063281962226104,1.1002187393979979,1.0701196193352442,1.0282560689375901,1.018222812396761,1.0946770835383073,1.1287144684522967,1.18601542517254,1.1622811218107547,1.3162847744819766,1.3360650248180073,1.304553001118594,1.4623600143989721,1.47343729314541,1.5210311198868187,1.686401226234159,2.096374673202039,2.3352004520901795,2.421414738655542,1.8530784207860114,1.7661410734613798,1.9878632059434005,1.7468975632383095,1.9748414812081243,1.7842242488560511,1.626761055989164,2.572857039767458,1.7134774772319665,1.5417204162398694,2.2114893956663924,2.1552917097757422,1.6855206441686985,1.4411828324582063,1.444640509598103,1.2917765151234737,1.3615036363695014,1.3655586940508406,1.361337309248998,1.296517861489995,1.2377987197808231,1.2618989077220932,1.1696005647536263,1.314595146601089,1.439045816655301,1.2610596135469192,1.461591420759341,1.210787205356332,1.2713172210702033,1.2725688705499378,1.2202893344090227,1.2853023438315418,1.358696179145336,1.2841155150123593,1.3142529818937665,1.371531006928907,1.4111695170064602,1.3917513580839125,1.2988352040015854,1.2948651033967509,1.2289716974070217,1.2521834382635393,1.2409204221910695,1.1643144967312218,1.2060551852014647,1.107898941097058,1.006180252608919,0.9718862203904561,0.9574835162437877,0.9911069850044333,0.9078531260687607,0.847335709913006,0.900152947675226,0.9455106303801052,0.9054999013488141,0.9838068965724653,0.9624482681386557,1.1698856304469432,1.0107985439859943,0.9638043960611921,1.037981492495332,0.856114206216286,0.8372635938685768,0.7615613447327798,0.8876787879582154,0.8281826829376749,0.990346703357631,0.9709892325876252,1.0712452371470238,1.1302277213806795,1.2463102090682487,1.2881718826786692,1.156560939221536,1.1287812053637076,1.0223604977312284,1.0620512609771944,0.9181030914502671,0.7835696186331871,0.9378899492677306,0.7708372589837101,0.8950205891736153,0.9498844548180017,1.083299243378945,1.1242231595927488,1.1446266264967253,1.2546562253117406,1.1924930329366419,1.2739647792009876,1.196999863646636,1.205748121692543,1.2525592150103093,1.2542348374927421,1.282101429049985,1.3410786380297772,1.4463141916299196,1.332170571676494,1.3022256382397237,1.381868758546517,1.2320104674215728,1.1812667870820592,1.0632884002684493,0.9783235814001507,0.8732784002540989,0.8266391940107484,0.7552541887689085,0.93328186382812,1.0981583575859508,1.0137530703237905,0.8350042376342395,0.8350114751699499,0.8736585345809328,0.9310976797375821,0.9465377118426707,1.104702836118828,1.2069315838827355,1.3126034727077516,1.3503917725181038,1.3810344471432972,1.583394823581598,1.4356421557178067,1.4823275821947286,1.461881654649905,1.4867130656659577,1.3872008467275174,1.3362314827900947,1.3242443572274367,1.3022629455868144,1.247205044810329,1.1653468219789846,1.1310986361765858,1.2308431817477707,1.286767972206517,1.3014806935787868,1.344811655917121,1.173582764365784,1.316098436707797,1.4127738483286507,1.3899264331765198,1.4272167142292504,1.3148104009283303,1.4971387720523968,2.0230670674923306,1.611704934793409,1.467004516335912,1.5288964753412404,1.4589037026130327,1.4600723966664793,1.3644013897265017,1.3544990713973486,1.3143482732427452,1.1782158980353616,0.9862390670323017,0.9843467012801964,0.8480702046704546,0.7973207972212294,0.7577035727272905,0.7647632611273608,0.7815231255171596,0.7870681009739018,0.8983775417560801,0.9343667801828878,0.8848767667885178,1.0167803451660613,1.1593654846547363,1.1429173794133005,1.091706510247947,1.3147263626547123,1.4174410191192939,1.4516601541392558,1.3736291129203464,1.4432938650852973,1.200373559144909,1.2112317153489733,1.193107670039222,1.5087823348548317,1.3893894571379586,1.2472792055226003,1.2818311352846719,0.9749808666280573,1.0205226314381548,1.0237233600024043,1.1079357917604749,0.9708264137953229,1.0745099180034385,1.191734404261055,1.09175797591086,1.0850382745066474,1.3680286397568424,1.4395499497243283,1.2221551860179867,1.3707226434409838,0.967565666809742,1.1917361318450457,1.0363074843868993,0.9387716376686889,1.0317043899720184,0.9715675716620038,1.0169139632112631,0.9645039566979017,0.9908297374020867,0.9220779080986805,0.9187858140744916,0.8185255839446378,0.8334509170748609,0.9077005492840482,0.863906861857152,0.9006054776234559,0.921583620601006,1.1038709223215963,1.0045100918611478,0.9862809006400854,0.9918652282062383,0.9022073258147186,0.8656656136627231,0.9345754894099031,0.9687571472130442,0.9206406292454269,0.89172913450925,0.9700430592936323,1.022043214669431,0.912040690472989,1.0100754395313,1.1936935404813511,1.1073422484331752,1.0640008361934488,1.1644159751819283,1.432911472815404,1.3449968257962621,1.367824057238239,1.8602594074507381,2.080604565366807,1.5999977472026723,1.6097318199103638,1.3273986628787555,1.304160016887308,1.6642284745057951,1.480139283543742,1.4232755674644608,1.0685769893153052,0.9190188403899491,0.7103388872903713,0.8461851116590462,0.792533701169943,0.8183249628996617,0.8003161208603142,0.684647180592488,1.0874441341325494,1.06782190523626,0.8954453968212576,0.7392113754584263,0.8164040626571795,0.835425581172986,1.4480689953879418,0.9308864398799874,1.6167183651818382,1.8351494063526201,2.3763390110247284],[0.9976744505663497,0.9363596577284472,0.9328052981983989,0.6649676419449536,0.8107712510626879,0.7860230688209651,0.9216621823309397,0.9536901396458929,0.9243645608847428,0.9585587574586972,0.9559745621965672,0.9897167871182255,1.0855238163874872,0.9878101875642389,1.0699942389619257,1.1408301787676605,1.1930623174003274,1.2600239643082967,1.3511129381264635,1.33680051197067,1.3737259650748275,1.4590761777646384,1.5649147809384882,1.5720879798576493,1.5165675567879537,1.4082401407290313,1.431784366881822,1.3057961932645914,1.312803900960596,1.2608680597695094,1.1962760771411725,1.2135953709792207,1.2047381040677245,1.259310149656267,1.2976382420831856,1.3233451987750136,1.3437814395489698,1.4330730411006705,1.4562118084119557,1.44811508346355,1.5560181522075534,1.5432808717544388,1.6012661828727761,1.7499536066702936,2.1228187623856845,2.3601393576667085,2.4540288085932733,1.9133166227574894,1.8361610668607193,2.066572571189933,1.8356094847420437,2.009430169836715,1.8728917548457138,1.7236213854315086,2.6699918727375564,1.8454912074513685,1.6447072173684862,2.3078809657433403,2.2705318734158326,1.7704344807439947,1.5224420746104308,1.5332908769655316,1.3852194634001247,1.4282026321033743,1.4318550922938715,1.4414583831982337,1.3430210559518292,1.3065659081596628,1.291535881528781,1.216464965247697,1.3344134344382816,1.4364632709085483,1.2996451567617424,1.4950105036537933,1.2751008320166293,1.3305344900240408,1.3694227521714981,1.3435636277538248,1.4151134858706242,1.4893527586349664,1.446915455001132,1.4802025243084085,1.542455762836566,1.5932341769902878,1.5551541211081066,1.4732979994042024,1.4324512654810357,1.411247433878039,1.3830999860945845,1.3941797987737414,1.286369089395894,1.2974073056479152,1.2167773072251973,1.147309062050498,1.1097429666484306,1.0746260448997644,1.0976772780890058,1.0782155782602028,1.0386408604843846,1.133370533355699,1.1852922821151552,1.1675082846050633,1.2330561521547905,1.241705508708361,1.4230066180675223,1.3155988781213037,1.2707214591501608,1.3052599709336004,1.1751735497792288,1.156460349620993,1.070032213108764,1.168499450282881,1.0744710175885566,1.1816558059501974,1.1055492469368222,1.152939273999657,1.1886984640274056,1.251497856977577,1.2842157243230294,1.2013993759239692,1.152620578810603,1.0784999153472736,1.0909142892161459,1.0023556231922335,0.927056288412523,1.1269378100517728,0.9942738254713561,1.1858585180118235,1.2845991138560038,1.3775791648914364,1.4455281473707953,1.4522566576865796,1.5404760944538503,1.477202994398574,1.529490686712855,1.433034581973497,1.4362465329513165,1.3678728481187123,1.293973135556299,1.3452865942771612,1.3214788324595301,1.4361604090303675,1.3540979849077008,1.3590861250721602,1.458075657148412,1.3530190128166204,1.3054234108455407,1.2372137069831757,1.2043499771528847,1.1003591035591311,1.0890781543450698,0.9807595360848806,1.1453340234938278,1.2726448178163554,1.1899438454713678,1.0831931545446294,1.0654367552051889,1.1375572558342295,1.1611224545491057,1.206257484241366,1.3279121900263298,1.380872496731972,1.4407185653294634,1.4929307626064074,1.5092824177616224,1.6399258988090704,1.5643957270219488,1.573442226190968,1.5798853755037563,1.5599568112423043,1.5337977144870543,1.4660844392996275,1.4999973349145403,1.5076541896402644,1.4621209426500559,1.4047815538914883,1.3486547844588812,1.4626180967538556,1.493603721555319,1.5505847002848112,1.5572197288778318,1.4351111480842453,1.5626152470330552,1.644223267953328,1.5894461256127619,1.5943969989631823,1.4539890312195882,1.6277077409454779,2.07502140335686,1.7214226653464069,1.588896053086641,1.6354359879595064,1.6174568730979244,1.6543665960859222,1.6086040690581809,1.5968332630043949,1.5755413645502694,1.4256314988659815,1.2341474952133082,1.2640082222690348,0.9864162871619035,0.983052227098404,1.0080573487314721,0.8216934548872163,0.7773253286189686,0.8083064399669224,0.7982957201904849,0.7616183028588401,0.7763398738336429,0.8988428978894725,0.9923755337096625,0.9836414659931496,0.9674384041302379,1.1825075914108165,1.2846670482066174,1.293735181925401,1.2218524187300477,1.3070187381899445,0.9974745515898178,1.0275408503330146,1.008153676764724,1.2796813469947794,1.184781053660644,1.1299366810615998,1.2250391188504637,0.9190956009792095,0.9848502437564893,1.0255930219454696,1.0181776404077303,0.9193763113999526,1.1634424928429836,1.2785221265665845,1.1396380560404187,1.2010434648891906,1.434918169161111,1.5010091742074596,1.2583338145826939,1.4758801981023868,1.0983481781776525,1.3960368633800626,1.1719936704994798,0.9941239222637052,1.118151257208289,1.0671903676471608,1.1234731262348732,1.082063743043729,1.0113619348294396,0.9854418921766145,1.0404661508029693,0.8527265271185549,0.8270307569031309,0.8947608524916535,0.8143611040883648,0.803362176759955,0.8289128761678493,1.0401240405349876,0.8826606035510541,0.8490616151493072,0.8441117014419671,0.7804540999033304,0.798457107693654,0.8709800715420845,0.8100048736118641,0.7722867940600652,0.7947848310318221,0.7842115229289293,0.8211147740924459,0.7569964644936249,0.8426422734826093,1.0410619920149242,0.8645283678259218,0.9073503322655936,0.9964510848598839,1.2734375202635613,1.144369045362039,1.1460001966261757,1.8042271375881163,2.0964592077654394,1.5578963433674404,1.522922265702062,1.107103964569445,1.1078888228022463,1.4505049334368307,1.2300342722185431,1.2794270358483022,0.638179412652837,0.732011352911239,0.9044489054628444,1.1841832773515253,1.1313222791584463,0.8199796143076876,1.074744714789495,0.8442679391179052,1.174443246322572,1.2302136122781073,0.8419705663283459,0.772807372846768,0.9343604497035615,0.7906781805290685,1.468795398550871,0.9984252564761803,1.43863469369818,2.0145973988314907,2.494635800667317],[0.9378202424564744,0.9029581515922916,1.0725367430827353,0.801817776331774,1.148667768507723,1.05132209139177,1.1800323425117591,1.2109437301381925,1.1547652741200802,1.1730801267785949,1.1641823321616394,1.2042578377279642,1.273526634287362,1.1730110995264067,1.2378152052453055,1.316070190767213,1.3444563787826802,1.3624964813533629,1.398928473173797,1.3905419183594439,1.4050358618642984,1.480970467186009,1.56502087735116,1.5237445516300794,1.5406700765879664,1.4214237606667657,1.4666682617015148,1.3778799133591528,1.4279194246982403,1.4215844165771656,1.3265727033272818,1.3914181454807961,1.385219897429779,1.3983508245871492,1.4391667534708346,1.4391386632874434,1.4870972749152456,1.516772558703549,1.504525344741214,1.4709239745195624,1.5555611154460924,1.563182966135883,1.5967137154573683,1.7068613108729005,2.0069667859422085,2.219105037462886,2.319672329096634,1.8149983966863827,1.7535572156312635,1.9348656141827176,1.7478041533849769,2.0143127109476877,1.8275109203560624,1.6655463788265787,2.61119826821797,1.7783176448251148,1.6022865518069214,2.2322905503307746,2.2373251267156142,1.7616713819189105,1.528519453476579,1.581497118936063,1.4514429726749363,1.4590040426971027,1.4497554390469125,1.4941992229227665,1.4006843372740956,1.3821086247583825,1.365684595308863,1.3107951392993926,1.4022356633661879,1.4698516540643058,1.3922308027429,1.575602984773113,1.3489339055577416,1.365636213616303,1.4236328543264125,1.4194202832172824,1.495908818301897,1.5480575529004676,1.537794954465861,1.535261184553395,1.6500758651948977,1.668877643939892,1.643278719954138,1.5836631550362001,1.5248976295384777,1.5397513518927393,1.4689905185208258,1.4945059069799083,1.3831224586923079,1.3676992104402004,1.3239924996519705,1.2931481239538973,1.2662271185810123,1.2356658758342272,1.2412481108665552,1.2774097390252666,1.2679093626824285,1.3717641817516144,1.3988688533096332,1.40609181180584,1.4373463110500317,1.4609760015562743,1.537038627098233,1.535431584218401,1.4859363265934509,1.4905142970547216,1.402943212346776,1.3945399464934725,1.3291616499373884,1.423116238429522,1.3307427296908734,1.418285084264758,1.314652799148284,1.3065775421157226,1.292612316904705,1.3098391858251666,1.310415370597523,1.2966953029944253,1.248371668649645,1.2289358987201517,1.2229694056952722,1.2039331854881403,1.190971619467351,1.393151715994406,1.303646265847347,1.4518262528308226,1.5110368603262088,1.5470108560395608,1.593144672198109,1.571528871185357,1.6048159307852647,1.5870181245915007,1.6128056368150532,1.5578942939813443,1.57652811212962,1.4832457728685973,1.397498890447645,1.4253810869165071,1.3112708122888932,1.395375355415339,1.3807611392658223,1.4162260170759706,1.502922346393252,1.4611802999176522,1.441058624308121,1.4328680606328905,1.4164968926354116,1.338588683843666,1.3687923442249914,1.2556121670751226,1.3614871873299572,1.495383359004171,1.452968180491857,1.3378001484077742,1.3144728421195386,1.3876660359903585,1.377160598287326,1.4331393179489487,1.4965282210304742,1.5192587198575858,1.5285878221436737,1.5584594199452428,1.533859323161378,1.6331938459392172,1.5519897523629238,1.5265020228167319,1.546474688524055,1.5500898292569527,1.5556526650540357,1.5233806141902049,1.5576011406742554,1.61209760318175,1.590431217585508,1.563110988357165,1.533419920307903,1.6180204410838237,1.6221721891746133,1.6628939360567605,1.6453484839649484,1.5747742718057083,1.632227504957307,1.6759899143959938,1.627284798197228,1.6105582161694318,1.451366792124485,1.6029280278470777,2.0174395662343003,1.662998099391044,1.5250008455693917,1.6330418902721502,1.595320747188474,1.6447808629617278,1.6079602423851491,1.597381421127769,1.6209881955164382,1.5136803920096966,1.388773330794181,1.4731272330432257,1.1907354511193786,1.2292807206240486,1.2884270037711205,1.0684691301832705,0.9770012679790203,1.042355635811699,0.9734078706078624,0.8322988844327707,0.8997868002129805,0.9850613093206378,0.952737811349119,0.9394063160690249,1.0030623219009538,1.1637508562012786,1.1944028206137938,1.1539823835257585,1.0896089829242885,1.0199629432653161,0.8013380170836281,0.8408340607201276,0.9050459094677783,1.2176666561999443,1.062587816069695,1.0688450348778245,1.2828009030829084,1.0059318303344056,1.1016826246194373,1.086944080709652,1.0269592457695371,1.0075244411105804,1.2572797426909952,1.3274728233399595,1.2573232475154081,1.314371699659157,1.4558246677685063,1.5501824659875807,1.3189845185057854,1.5436600518626915,1.2446667038933055,1.5169808660071573,1.2951777901348298,1.1616839666724081,1.2664329707968902,1.2010419811856698,1.2737692146631756,1.2480958491235852,1.1311429428016364,1.1493782112004838,1.2293759838183296,1.050114725085239,1.02002080556801,1.103309902872198,1.0057118743583653,0.9322905665604355,0.9679712843514989,1.1552992613329767,0.9382153611273714,0.8765921007566938,0.8584907066878511,0.8408849578731558,0.9104285948801968,0.9350782370851535,0.7758644535947784,0.8111713782469928,0.8642805430464003,0.751855264594661,0.7491193696632822,0.8139220641667158,0.8144555617783718,0.9300312136610858,0.7309276084028247,0.9753285880842928,0.9688486182145148,1.1565654437349824,0.9867692759058015,0.8168349496225,1.395108949257649,1.7266154087230199,1.2255344521826028,1.2282483453822548,0.8815998552084725,1.0422576498751845,1.2789575920356753,0.9283497348650896,0.7355713942478108,0.7726772654748656,0.9344888013473327,1.2667029926037159,1.4377928757167757,1.4328004263116279,1.132203536295242,1.3803584692475042,1.140886549048055,1.44609965532804,1.4481534229263155,1.0435491994252584,0.9987811203723032,1.1447875450531853,0.9481916795954942,1.4550763092980585,1.1477839895702244,1.4000866085386787,2.1703943776015024,2.4940162581199252],[0.9286700073876137,0.9086345397836295,1.0482908543212546,0.7334981575784427,0.8617961598044912,0.815322622320373,0.8413165489167049,0.8610701043578943,0.8370152798572575,0.7776103501546318,0.7635062303413055,0.8224695927201959,0.8235008760463577,0.7572797892846437,0.8214055367185616,0.8647611256713494,0.8892194459260716,0.9107878273814032,0.9891433619028965,0.9464203526071017,0.9986231166367083,1.047693163218569,1.212656190532438,1.2294699741112283,1.1801291124905742,1.0220911117933578,1.0114435365919519,0.9201343909701813,0.947865227758079,0.919563266579669,0.8688955343087438,0.8975185986271726,0.8840802165752093,0.9074135972843971,0.9325118756993703,0.9462106355398522,0.9664548862952519,1.0190880923790153,1.0048191044482018,1.0003395576288017,1.1067349738859247,1.098053379336981,1.1475157885657674,1.3229926927052669,1.784953007919625,2.0159025170157507,2.189098655959577,1.5308968216578158,1.4403848115756006,1.7252151051245188,1.49808878154558,1.8651521596487355,1.536571591250875,1.3586075383021625,2.3365795658512387,1.3506681937438976,1.1889810251972095,1.8985879143966473,1.8207894278711292,1.366474363010637,1.0860766641588697,1.0857693764562955,1.0153281044610882,1.0437161549156881,1.0176378217767486,1.0337582488188781,1.0051610695480675,0.9364680536615564,0.9809269765816278,0.9391519600485989,1.1121823186885862,1.2448942248795494,1.036601717392623,1.243725723132324,0.9369153372249441,1.056869366183623,0.9656081976647263,0.9444096778992803,1.0112107336609288,1.0752420568251668,1.0171715321421921,1.0451557283044755,1.2121012281871866,1.1855321157707923,1.1286261282175827,1.0473628060780995,0.9956877536672527,1.0098576247481392,0.9769850643811087,1.0035457357599613,0.9077272080054786,0.988947348384546,0.9203654087793659,0.8479757514803689,0.8325191114165406,0.8609507243755755,0.8967927592817134,0.8330780069909393,0.8240341227018376,0.973724505915024,0.9208840747038763,0.9903085071211097,0.9364748614332972,1.004426121495518,1.1142310698280298,1.0667501670454937,1.0775798720665841,1.109490256580348,1.0141927508262858,0.9879458107052959,0.9268437185529269,0.9470120380771102,0.8819639805979383,0.9313101241024337,0.8497446680352064,0.8720078331825104,0.8768667356013721,0.9341051362389594,0.9950853756163645,0.8740690311360129,0.8676969146662525,0.8265678121114437,0.851122363839161,0.7911732259993425,0.7841877932909443,0.9179221990070229,0.9012083413271553,0.9612956591460002,1.049080808862557,1.086053508266393,1.154192813909775,1.1678487155277248,1.1535285350771038,1.1163023264117629,1.115210440111314,1.0556748301209056,1.1012858527154306,1.055988788415412,1.0137645947055884,0.9842405087117649,1.0393644803083768,1.1346999915810805,0.9779398004601935,0.961337914673241,1.0276998469579615,0.9497382213206017,0.9340849881477762,0.9272319794510666,0.9133838788273307,0.891925974457304,0.9503435600634631,0.8935914219410456,1.0335173157459165,1.2715128794129074,1.2224166495788487,0.9400720209036061,0.8782277609018505,0.9320121710177296,0.89101342062466,0.9415807224205363,0.9846340999244851,0.9970207352575033,1.0254596102344935,1.0633745126859553,1.0899681107412007,1.260617757522201,1.1507648111757018,1.252235615281682,1.2337414085648641,1.2041795433662867,1.114884781919461,1.065677062453582,1.0758739316251837,1.0876973621760488,1.0544823826081169,1.044152990159649,1.0093141293137873,1.1106091881772713,1.0933536854681745,1.1459230765796597,1.1238463576257014,1.0712925070193011,1.1687412351459672,1.2299342359882173,1.1551865114494275,1.1408569072758605,1.0621179107380487,1.2593687132278313,1.9259466652352921,1.3991221421143,1.3166068147873642,1.3137545765009566,1.2674868085925308,1.299852354045758,1.2529253631480246,1.3114135304657777,1.278718226502871,1.2303227988334768,1.155293489276379,1.198667382604372,1.0615677333938,1.0566601030476144,1.0551395681908398,1.000928040449489,0.9830986718975473,1.0006189982121758,0.9996322109970189,0.9783889583891969,1.0095243650864463,1.0743697992204904,1.1048146449095424,1.1158397363777215,1.130060662709921,1.2822406507728952,1.3357832790048092,1.2972267893997087,1.2447321777164817,1.1240306662509882,1.0277837348428263,1.0428072309478524,1.145168039286766,1.3926238044393544,1.228237699545347,1.1839062574800248,1.420500263322755,1.10805753005324,1.1165268344662067,1.0977354091335043,1.0954999737617115,1.0404671705275776,1.2110654714943767,1.3553702683337583,1.2872413661171438,1.25465282152021,1.3884630250500547,1.5644548943282743,1.3496263758279017,1.3879307959457652,1.1341499333699372,1.3094101930377366,1.145270991839928,1.0711276241113066,1.139320982569165,1.125601012529941,1.145979681578036,1.1086684815162402,1.0769029041092582,1.0517471928856748,1.0968347874866273,1.0069995747137563,1.0265536196896416,1.1004167783179342,1.043804837098295,1.0370633658306314,1.0677007574633766,1.2564361451203907,1.0909944163185192,1.0559751546021352,1.0475093249906582,0.9977184903171571,0.9845855871784442,1.027157745319113,0.9737179209976672,0.9777310927653613,0.9672436062086451,0.9590386877445186,0.973339498898685,0.9593700081726686,0.9773725915098361,1.1317862408775203,0.9454542933020481,1.0895286559110362,1.1219553481354076,1.2898317938575772,1.1377007279171305,1.015715423953129,1.3806203730144873,1.547682534856037,1.183719526503256,1.209111120101106,1.064152785804744,1.1626006623280807,1.3183518255357383,1.0566975879279714,0.9822073187089173,0.9112024482058562,0.9861389947377033,1.0190424382514538,1.1195416339992588,1.0313829850050824,0.9689593846652275,1.141841919303801,0.9875948864601881,1.3462580893492964,1.2409175469397316,0.9801200281510248,0.9002725553933297,0.9368131838817437,0.8872694265155873,1.401669131583385,1.1228973977922094,1.3390284943195427,2.107694443732721,2.4136215077915866],[0.6665336075072458,0.6560579773126167,0.7113278508753595,0.45605759424474246,0.6078173561277894,0.5396051165716864,0.6261057100423384,0.6236584669371624,0.66749640054138,0.6401081646432362,0.6350792691321033,0.6593688933499132,0.6705608929931898,0.6556171077242181,0.7059489460794236,0.7230952546788815,0.7587985306641184,0.7861573613605642,0.8695744072818326,0.8031561420921075,0.8523694033239351,0.8936775626902422,1.077716112583162,1.0684452398266346,1.054398306510017,0.8868423370535322,0.8561070195198107,0.780086886877758,0.797662434163776,0.7518161395176287,0.7416948361290144,0.7244688075369553,0.7230622271444571,0.7379540343469663,0.7491364541102994,0.7815172968004885,0.7809519547021868,0.845709615680383,0.813369359620987,0.8028921060399684,0.9315591804044493,0.9371212475947293,0.9599531036167543,1.131151755413362,1.6117632283420722,1.8793260513140693,2.022397172226649,1.3467810330627752,1.294421055729011,1.576409673383702,1.3152457473611614,1.920087445414978,1.4211712651713266,1.213210844457182,2.221328928189128,1.1707515507910384,1.0145115120170758,1.6811114905247013,1.6805832674480448,1.2358657997463536,0.9508823504572265,0.963463221917054,0.893559372169931,0.8886153300106746,0.875035190640441,0.8800787502513112,0.880099105882508,0.8115353990073298,0.8909531501082856,0.8541089797955671,1.0579822402212953,1.1964549732000869,0.9808940376378269,1.1324768220912063,0.834175698736268,0.9414211810442222,0.8113863436688016,0.7761076498781301,0.8296531688544632,0.8947693307373419,0.8289518705731195,0.8322306907376946,1.0554758873864545,0.9482039374982457,0.9221700310682432,0.8467032829966077,0.8162802536822458,0.836923922323093,0.809112961910637,0.8209170879183272,0.7675402354969081,0.8925287401043516,0.8044238313109024,0.7118310009230673,0.7069079307825918,0.757564829278463,0.8134241409205856,0.6918154010674151,0.6477709814995851,0.7641725902784282,0.6956324645084345,0.7497665263854852,0.6941449378119082,0.750366209167154,0.9156629359084365,0.8006792742561366,0.8045707435729547,0.8331610660500804,0.7282371695553037,0.7191580872293134,0.6337522132430363,0.6995276493948972,0.652909300950351,0.7518547657536322,0.7122948911678153,0.7560522587450588,0.7586816331674162,0.8201894783382832,0.8745585672787086,0.785523464507783,0.8042975572743449,0.7538061232832126,0.7903991951903043,0.7061631042416022,0.6457922347842541,0.7566034745925208,0.6125954882332098,0.7270703786223768,0.7976619829333398,0.8598930313645294,0.9123988161691633,0.9258402297914011,0.9084896847600787,0.8692643215422874,0.8752126478347075,0.8263959865620123,0.892797961285826,0.8692871868674443,0.8290215974323536,0.8059805911008022,0.8578641906655898,0.9507535280232414,0.8451009452504232,0.8105251758559255,0.8614763050029943,0.780819351835407,0.7725259489078602,0.7534279437426865,0.6951238171076342,0.6715575449837997,0.6961881385955707,0.6443121735455781,0.7930162672023263,1.1138613606113144,1.1439197986878737,0.7013030770562705,0.6484956836177826,0.6726100010781457,0.6731700939618972,0.7070435488322734,0.7811483039822293,0.8011620075755972,0.8254852257582567,0.8529536269274091,0.8514960001100783,0.9928006500190818,0.9090550374090837,1.0273554876108673,1.0130837095995964,0.9900815750948095,0.8850042356981347,0.8439184452956456,0.8455437411810862,0.856424582110257,0.8171315925070406,0.810598049626557,0.7929278622951336,0.8807400449029547,0.8609097727169928,0.8774805212603998,0.8853203511486382,0.8322886044789981,0.9203303672281041,0.9797485260325465,0.932486950301829,0.9482962060579612,0.9251307800816463,1.0915673092536955,1.9105094922357404,1.2216778224188503,1.1295194953137238,1.1474469248625008,1.076235437381495,1.0817501122210744,1.0096671927171454,1.0747897757806208,1.0328906284511654,0.9887952172231562,0.8979502263304677,0.9466696048257406,0.7394068820686822,0.7254116003462723,0.7271834909948581,0.6543219854929385,0.6102017087354944,0.626756232716087,0.6189313866039929,0.5988285569514261,0.6223279542491086,0.7110650288697671,0.7404389428655512,0.7637370377642293,0.805641182994538,0.9721757266131094,1.0416298867008889,1.0263435031659631,0.9754068643542292,0.8698832801359055,0.7122251197528967,0.7313483655568521,0.8661964738800112,1.3459271300511775,1.0535611327989014,1.0832710110470791,1.1241077395160093,0.7934627286052511,0.8564940312825429,0.8687214427078751,0.9602214704843101,0.8190392990445899,0.9376041703746675,1.0862611663672384,1.0741371655008702,1.0200043494019044,1.2302930661478704,1.3860377218011046,1.1714904619033706,1.2748739750187608,0.8905754612406036,1.0326476853689113,0.8854193403012707,0.7889440249733144,0.9335583121103586,0.8528191249662382,0.9400588883264009,0.8493123109268381,0.7704653335452486,0.7605156000203702,0.7996830119227182,0.6399003804586123,0.6658317061117062,0.7865299602978885,0.6786100480796479,0.6648860362835782,0.7365507369570944,0.9597298611769202,0.7205881048929347,0.689777330511013,0.671509775097058,0.6328160594502495,0.6233301194142494,0.6916495375228376,0.6499019857286588,0.6267607348537261,0.6708770459361255,0.6656293644880116,0.6783834217882858,0.6669772805855197,0.7550759364216826,0.9198781598322305,0.762830374039888,0.9316641346276899,0.9776549732095543,1.1923832795163483,1.0365681832973543,0.8912190230505698,1.2442207946535568,1.445757332024042,1.0131117935441423,0.9590828654447512,0.7704570666518532,0.8238426569967441,1.0491347056854725,0.722665102647915,0.8015483326057524,0.8265162548850505,0.750620384669603,0.7370345910483095,0.8316434809161678,0.7566657792083915,0.731815792328649,0.8663420126233958,0.650190992103262,1.3114859295785917,0.9934737296419106,0.6260472522908406,0.5481753951896131,0.6701897564318396,0.592632691935343,1.0308967314535478,0.7554488324012089,1.3842143528662572,1.763422328443544,2.0824301930526596],[0.5654016003502902,0.594324463907649,0.8287182689129445,0.4913061798553796,0.6786804396956571,0.554296329456799,0.5539690574464184,0.5456507441668691,0.5707125163247584,0.47838507060303775,0.47437767137944736,0.5435811762658178,0.47353303687532233,0.4514250740688074,0.5029183399096547,0.5167539891302146,0.527310535601947,0.5406502824055651,0.5951394005402493,0.568405384149728,0.6315473987786931,0.6604712896164598,0.8955764871283879,0.8861393589231827,0.8986772081552562,0.6645611789749172,0.5943954455028725,0.5238367409678876,0.5499936050019879,0.5391847703061244,0.5316228383953099,0.5439934208339218,0.5359420643297574,0.5387506517621812,0.5385292283772092,0.5650838139142479,0.5772997935420888,0.6272247640017081,0.5712721884796619,0.5872749918526902,0.7053125287868615,0.6922095122783309,0.7101630773323421,0.9098703372344741,1.4788514256066747,1.7529665922043671,1.9349771649088132,1.185569970292523,1.1356529663153794,1.4521668719886973,1.1826861378500089,1.9161865412833254,1.2896775771173399,1.0555893144944113,2.0844585083126637,0.9276834227407997,0.8023518677637869,1.4606831642257023,1.4739109267739938,1.0648749216301763,0.7120897099976924,0.7252636887148083,0.7095135902329196,0.711660827552701,0.6615369521002138,0.6472368216381155,0.725769667415136,0.5825889149794358,0.6907883082728902,0.6471337532730755,0.9026165156685797,1.0565896010815337,0.8095297456404622,0.9753236728650324,0.6310575174364664,0.8754633175878009,0.5920331439597639,0.5530282553590573,0.6006949456069866,0.6662092234854854,0.6036537200973543,0.623624114597069,0.9419692974728909,0.7375424774125866,0.7223182223384502,0.6208746927942985,0.5804978416697553,0.6532640101403372,0.5868841556578857,0.6124150571506063,0.5604955080904266,0.7427332411101978,0.6228184313180208,0.5303765617361926,0.5220906594506054,0.6154961726934346,0.6660781001584332,0.5443163439592087,0.5285414886926159,0.7332638943898082,0.5649710830178563,0.7034550937692583,0.5639638209949536,0.6590022750973932,0.8382582943979201,0.7330196441844964,0.799517355627897,0.8053977521200217,0.7365740339077761,0.7288002197668525,0.617965619199054,0.6192571464348363,0.5525964629939758,0.5874837256044887,0.5000358803914876,0.5168719765300153,0.5367063171887101,0.5576943190795294,0.6693202958083542,0.5443889227832858,0.5683529294323234,0.5298926708225916,0.5423372074277063,0.4740931478576974,0.47249238702759616,0.5966468622865613,0.6146172698790948,0.650173439549423,0.7559480957243886,0.7853773622682313,0.8655709288198077,0.8884300318040805,0.818079570972181,0.775635847786956,0.749779370605252,0.6832766525444848,0.7911818660504827,0.6984291482663627,0.6048775694768939,0.5714294615077903,0.6930686767178098,0.8472270142971022,0.6134592916479087,0.5788009252497698,0.6247049506883628,0.5305210371931058,0.5318002022246207,0.5642758556830962,0.5401507521084946,0.5436207169709512,0.6379154202106474,0.588919176732824,0.7854985116850037,1.2089879151936602,1.2097400526578155,0.6470413560328682,0.5517521179793503,0.5850213676448512,0.53863464412272,0.599950118976006,0.6235636000558606,0.5896316163068843,0.5985511010732378,0.6376886579690958,0.6511866527288896,0.8360335791856532,0.7546798152899014,0.9317693409933707,0.9258465981045855,0.8599020358081692,0.7382467029071104,0.6653895755346255,0.6674773562724059,0.6719791134986742,0.6236376331966982,0.6601050553687434,0.6061287243679354,0.7367538526047406,0.6708145254863884,0.7190533777339707,0.7110171025186518,0.7069423412315922,0.7905868161370233,0.8506810486034996,0.7839837964038155,0.760834670948202,0.7767680729716001,0.9512284300764564,1.8587762819646627,1.106297136663297,1.062260919404917,1.0177332837779474,0.9790910528224633,0.9978693261062016,0.9300478672049123,1.0102777181818483,0.9786682868983224,0.9810262832098139,0.9456406050109504,0.9894352569386418,0.8535713722806668,0.8427803120298588,0.8406288290598849,0.8098383731697594,0.7882660047710133,0.800064046568553,0.8158722353956673,0.7870128130556464,0.8079535865999973,0.8509201056604878,0.85163616551988,0.8870831237571372,0.9405412228475142,1.016400403411464,1.101161738183211,1.081484827469581,1.0402895843146842,0.9095492423141196,0.844539190334087,0.8361941995543527,1.0037168933569955,1.4320626996651784,1.1050111247735057,1.204750750702549,1.242239579640675,0.9140558682769351,0.9442787169434548,0.9480240277919852,1.0402789927627891,0.9187976411595606,1.0431305172635497,1.2097847236628905,1.2334966780699588,1.1269839684876601,1.2310354221095936,1.4334316130090026,1.231627154764805,1.2973427841473528,0.9849479206901925,1.0544355115546706,0.9397476025916434,0.8852330102782902,0.9915670922102137,0.9474189933655128,0.9795253709729352,0.9190256440998467,0.8709686286765872,0.8673312043652359,0.8826345200392897,0.7850646994213312,0.8134558377099516,0.897509723371317,0.82115111114553,0.8319898125344375,0.9014832869497845,1.0870433833262512,0.9197944471990727,0.9003271985031253,0.8767371398528171,0.8322750473489594,0.7922566716596008,0.8482305720229437,0.8127457398119728,0.8046932324021261,0.8448027803366038,0.818409911666811,0.8276824322593824,0.8250222008879933,0.8789145769684544,1.0727517525889456,0.8855014008058665,1.0232235237987193,1.0612681969727429,1.238302677659108,1.1017318962772207,0.9549432307924793,1.1321048318553082,1.2186973036811426,1.0101582271978813,0.9175864442407193,0.8706343909139527,0.9094674226593207,0.9500332476320271,0.8378435220702973,0.9598293742510933,0.9564552756716639,0.9171204912010098,0.8635332190227792,0.8975559590769028,0.8001710814629877,0.81475102003222,0.9953682786584541,0.7974672910684346,1.4290993042959688,1.03584328011873,0.6929823934384507,0.6269751437375108,0.6503182718422753,0.5911140662437762,0.985155243684694,0.8685958576755247,1.1988040022263076,1.738224444055617,2.064670377470931],[0.44857542610432805,0.4397760963368463,0.584708789182336,0.23860306360250405,0.5927597682731776,0.40785128542070753,0.43272282644627735,0.4211937290551173,0.47802139365454405,0.4040974281201476,0.40640384277121305,0.4774341732061837,0.4069452038661368,0.40233180032972043,0.46303747119998845,0.4707963044440902,0.4930206180789243,0.5130147772139527,0.5831942359768189,0.582942692889778,0.62578714984582,0.6551930557458594,0.887088417491835,0.8575296280079042,0.9082749865996855,0.6797490111864011,0.5930728818770905,0.5204101375902892,0.5352132888183808,0.49992521502765275,0.49629442669903934,0.5016626530122469,0.5033724026869203,0.5202564649732027,0.5103777406231653,0.5361944248157166,0.5277545721107304,0.5961423104139825,0.5403697241557412,0.5702092506407792,0.7125195384058989,0.7024754444475937,0.6948887563243441,0.8785322236686768,1.4772069832539394,1.7823409362482363,1.888163377882943,1.151132448503394,1.1491694529307472,1.4579057126119963,1.1348939770976303,1.9780378752669756,1.2753866205036208,1.0619169272666213,2.1123799200443956,0.9233886037725171,0.7907541866508357,1.4257144223638176,1.5231383192791463,1.0587340803891405,0.7508513244346077,0.7816643698151449,0.7179232825089924,0.6931420008623281,0.6561817163856242,0.6388698033318722,0.7323664397602933,0.5643849497733303,0.6729192601682636,0.6079553309241827,0.85942444578891,1.0146118417602645,0.7823259795146912,0.9114546196927236,0.6247604616415837,0.8849349787753086,0.5524363426188567,0.5236978561860438,0.5583783479118865,0.6377917952032313,0.5900484114387952,0.6211871295334106,0.9458562384958183,0.6449733067449768,0.6452381335317329,0.5414848328801213,0.5652291241642148,0.6400839362873922,0.5598066261101067,0.5715457132668613,0.5369657703016812,0.7342328431608792,0.6090118883177623,0.5061533586150947,0.4977821849641834,0.5873573870984542,0.6400927220513394,0.5046696449515983,0.46055342919871617,0.6550819209496066,0.4818196780400163,0.619826269170845,0.4747192265021417,0.539930624266969,0.6977009570994809,0.5738516771579139,0.6445262126315974,0.6495927421251828,0.5757071875990208,0.6268489979620203,0.4896886032978086,0.5195212341635851,0.442142454993811,0.5164374728591786,0.4358085262362464,0.502873867165008,0.5561224541023768,0.5449697661321771,0.6536564379343784,0.529355810101688,0.5325570181672293,0.49155146778047015,0.5008160126284346,0.4295433004547129,0.4206979274574007,0.5380481396385888,0.5053539315620132,0.5411872630856599,0.6135416027709458,0.6635643389205964,0.6997950032581364,0.7181776094733443,0.6750599977463394,0.653757376625237,0.6304725493623332,0.5794154879518382,0.6891685593035504,0.618113749808475,0.5381383918920515,0.5112145937006073,0.6537925563839222,0.7722206752098949,0.6086194053468752,0.5984240941520379,0.6320479480697605,0.5038140933458749,0.49988636484493865,0.5192567987881274,0.45835717666285275,0.44500711504702384,0.5190166596947465,0.4898937113376074,0.730849045385493,1.1580347683853387,1.1888456345914604,0.5404130063006998,0.45745632755600235,0.46032546568075206,0.4595368959310793,0.526256095382219,0.551188551152078,0.5291987997612525,0.5417158862777598,0.5692386117481486,0.568673856666362,0.7193235367760736,0.6469324881771548,0.8330904204574535,0.8422087114017676,0.7831473246095493,0.6445461842863347,0.583127107554641,0.5792495812464864,0.5859338913417919,0.5422561596910833,0.5583436299239605,0.506040796850487,0.6511423707307155,0.5740863807964994,0.6147839203145258,0.6213004222038312,0.5876623303063027,0.6544713028114995,0.7193470046950603,0.683609190988114,0.728840864187003,0.8137943624243449,0.9293883650932562,1.9665158058706191,1.0084864609446063,0.9977997507397736,0.9265120166355972,0.8910857085828867,0.8886162481963309,0.791557539795362,0.846263393201108,0.7986824977456919,0.7850675471625648,0.739369087989162,0.7882009132638437,0.5918021487205354,0.5873270905790575,0.5868608326023451,0.5214075760341468,0.4946024423731737,0.538983733646404,0.5363800454034754,0.5081190261603135,0.5588161817839014,0.6264263420560676,0.6341846630255235,0.6796192435581303,0.7645589720324774,0.8413649527770317,0.8980349909719239,0.8897196131799705,0.8942549944735714,0.7282131010893148,0.6061141662429714,0.5975209223396762,0.7227555971984098,1.4619585308657013,0.9481809843197079,1.2073424141855278,1.047643749996097,0.684571995570767,0.7496460187022692,0.7247811111345196,0.8216149801029063,0.6557084166794094,0.7715232655311126,0.8984144715098696,0.9381753626216333,0.8458305010184822,1.046562678877443,1.1787220884154668,0.9882222829163356,1.1504507955700956,0.7397121365059458,0.8355497440688316,0.7264363361470196,0.6820948190046978,0.8547507139320281,0.7885646487704587,0.8789667378752287,0.756315620484867,0.6554601837538893,0.7275462703900367,0.7484382035171376,0.5726356305414598,0.6381805862834309,0.7671110568840884,0.6293813267731251,0.6205262472343721,0.7413415521234394,0.9487087835088786,0.7095998548238429,0.6819235010082708,0.6241199330475912,0.5737840987996613,0.5484402581173935,0.6028492414134718,0.5638222877923642,0.5415394040386646,0.5753786062723467,0.5499848105693521,0.574431542340164,0.543459369978083,0.6101730392542182,0.8057597011011737,0.6562617261514873,0.807024024626668,0.8290850565044485,1.070669088410355,0.9204349782054677,0.7835701094400243,1.0006342496956635,1.1807337577006547,0.9069774856400978,0.7773265675323003,0.6770013383281681,0.6742128556438086,0.832458835148273,0.6228879931910899,0.7765811601418364,0.8382552493340728,0.6924181219695423,0.6577345017703369,0.6811989611128382,0.6366342310722967,0.6415952130173975,0.7929019406231415,0.6190065098685344,1.416663560059468,0.845416827085319,0.5033110210515048,0.47305536210523236,0.5046251841981837,0.4557166558814075,0.7933473035570956,0.6337010032102263,1.4798077812252848,1.6628993349892078,1.9764050308306924],[0.8401965523170692,0.8750680065862462,0.7950017985384126,0.7932733647685892,0.9945992661557602,0.7401969929518365,0.642062941502204,0.6190906152059353,0.5574614968144499,0.481351171251208,0.46749689357828533,0.5380240457681107,0.5127475509429936,0.470541811457755,0.5887969704848807,0.5645075673077007,0.5648357156376513,0.5887568397820924,0.6981629847568293,0.6876158039301827,0.7579795655119977,0.818794653098354,1.0241079446537324,1.0309905373899058,1.039305666619439,0.8214714278492385,0.757332331867282,0.6424666531803074,0.6200928116325339,0.5857293400509426,0.5950833329602624,0.5648461280798168,0.5755191595890753,0.5783671189056042,0.5902953182061099,0.632299894574095,0.6040398088622142,0.7322578092256974,0.6855139086515173,0.7221378719368293,0.8663913814718232,0.8547282143454642,0.8807415082766148,1.049546729298009,1.6964218254418608,1.8861911941565512,2.063386378229403,1.3576707234098022,1.2393819040662288,1.6243686091866687,1.2619676532647957,1.7863738760952783,1.2049038501191018,1.3172609846261285,2.3473748693685814,1.1420934396097555,0.9500703683836167,1.8018520910861604,1.7487287995356828,1.2277819699156174,0.9198872849545363,0.8778673994707249,0.8184376571897926,0.8138599891490697,0.828597186339422,0.7509023611129997,0.7918549610912874,0.6329113191466328,0.7114421380633766,0.691638279879921,0.8877934299713642,1.0950464451010316,0.8334350836732966,0.9856134915054942,0.7031541080224402,1.0212080394584446,0.6340100880139706,0.6398449987479506,0.6690124060924705,0.7796149051663679,0.7005573681739626,0.8065125127256751,0.9595284364090223,0.827192637359038,0.8124251409541701,0.6677302736266802,0.7158488426763456,0.6989087404644596,0.6799089172095147,0.6340319342879374,0.6232944358952252,0.8614008305549333,0.730733950720175,0.6181489919907266,0.5863811070198442,0.6871739645229271,0.7046884678933036,0.6056296710904704,0.5621144249388574,0.650090472756529,0.5634349841130939,0.6928508106352244,0.6092369391975557,0.7017602176416541,0.8687688286299965,0.736629473412939,0.8109295411429427,0.9240314541400592,0.8361665613452153,0.8591395878904661,0.7715305995217336,0.6997013030780662,0.6104665757948096,0.6197214251474111,0.5371418277950714,0.5733550178884359,0.6472090507620144,0.6750936351163069,0.7832015397173272,0.6075983053304606,0.6263739021608903,0.5581592629254756,0.5739006718778256,0.4941853928753929,0.5360079922234593,0.615458800033439,0.7389550668771214,0.7450345285079224,0.8093774092692237,0.8272662569139281,0.850972134445238,0.8477359034931568,0.8269938371783921,0.7969039585311682,0.7837380817337415,0.7268982661492849,0.8128578276506158,0.7746508606076017,0.692706028387961,0.6413990918660644,0.765252128473162,0.9074130907366738,0.7585199996284663,0.7105560419181983,0.7679865536207636,0.6044575515821423,0.5993004199547799,0.5983137421071842,0.5994528474106289,0.5854323828652845,0.6478133665308743,0.6417233534544078,0.8203883995150597,1.1711654064382597,1.2345178574479347,0.6298352012961296,0.5889805125916059,0.5949550824723974,0.597386733778827,0.6779796900319875,0.6856448563729077,0.634407685318776,0.6399629347004981,0.683574305238902,0.7198941376744838,0.7914519968570665,0.8227181642673009,1.0088443771689672,0.9766224978555086,0.9073191317022615,0.8199482270282746,0.7377007035885321,0.7267586241356694,0.7261572851520448,0.6719444185706306,0.6914306901803507,0.6280674503633558,0.7058366941365679,0.7066700947735021,0.7316031086397813,0.7531328234124324,0.7402606742726985,0.7897198254967687,0.8468780507686545,0.837992691846773,0.8971027693859348,0.9912450318611206,1.121635562115881,2.0257307709615993,1.2045618821115238,1.2014188700616215,1.113302792776647,1.0424949368340461,1.026853702515115,0.9443076596076317,1.0515133639225593,0.9903843708454924,0.992589102261753,0.9354434497185017,0.9554766343006157,0.8436794211156804,0.8292142935736669,0.8114019002966727,0.7995335032600875,0.7944259582769768,0.8212560021364764,0.8146913762849264,0.8248075953424431,0.8458378792738958,0.9149719954457868,0.9322464233323113,0.9500713942853843,0.9705447986380269,1.0819084787073496,1.1400412280853254,1.1169474675376594,1.142518045619652,0.9728757018077494,0.8773609593900612,0.9011177049029394,0.9736854370825497,1.5360122424104894,1.1969871719782434,1.262241527587607,1.277344654656044,0.9690325230300362,1.0299484223131732,0.9808950718985738,1.0303109560997274,0.9340374898399023,0.9847795795558469,1.0812498437366995,1.038314081252986,1.0028365206214167,1.3023867135260672,1.337806961832042,1.1736370572203252,1.2842569632662668,0.9153890525808113,1.0270847752304526,0.9589855146675734,0.937712948257034,1.1066238399558948,0.9866879356123092,1.152757667162215,1.0224954959421457,0.9535842682342299,0.9944774238740467,0.9897226639651299,0.867169865241004,0.8975040513916768,1.0067968270356102,0.8972965511127499,0.8899903476319346,0.9456811374351449,1.1111834139806884,0.90925152540323,0.8997908719948663,0.8769994212916578,0.8450055251579901,0.8427498262775186,0.8839255034563088,0.8534240809666896,0.8433075711388135,0.8471428205303534,0.8514256252250746,0.8713328368824077,0.8347888869114489,0.8842425275888366,1.0147244530922916,0.8848769426152197,0.9550839261768801,0.9838225813446388,1.212861767360661,1.0788286937354585,0.9703238571429419,1.2774250287480824,1.4550469654879048,1.0651696704915126,1.0275154838899772,0.9287396025238448,0.971699125355281,1.1414833494779044,0.8767000648230093,0.8713420465713888,0.9033998015502311,0.8501336326457646,0.8514333654894085,0.8707619359952017,0.8218041988838785,1.062680770934074,0.8833218984522033,0.8600216400910415,1.4413429524161057,1.0283099860362568,0.9566982767421875,0.8420283290250294,0.7882524642508758,0.9378518442890486,1.142313123181674,0.9119894734365835,1.9264566287859193,1.9201202919925935,2.4194310494343814],[0.48801815327144576,0.4963391877684999,0.5606523548804891,0.4330461007968081,0.7167266200978563,0.474266421306596,0.41416521667240913,0.40814573913204155,0.424212383662843,0.38052951555187736,0.38637900640061246,0.4018375242150151,0.4017421448099496,0.37561781490262874,0.5063907136648194,0.44360249233209786,0.4269829077763355,0.46291757205511763,0.5470403153113835,0.5586096569766745,0.6462798879708905,0.6871227064246858,0.898798537471614,0.8974416025551112,0.9430115371668004,0.7022453258797255,0.6062441838985411,0.4784055368596091,0.46151457768006643,0.4353188234441095,0.48700261808260753,0.4162205074837953,0.4505418684001507,0.4614028467551351,0.4468518575591229,0.49975785898204345,0.46520864161012127,0.5559342274425655,0.5494343826024178,0.6491476967551222,0.7438541072237238,0.6671656573212511,0.7016494745892207,0.8913638569565017,1.4702057233978731,1.6654646224016867,1.92931630642928,1.2199051323591996,1.1500651072927641,1.5422128868030203,1.2266247238583867,1.9813582072834193,1.2129163274621853,1.1727338013130297,2.0504694187303407,0.915394656754077,0.8241181700197836,1.4427371212416185,1.399727022663554,1.1456182185893495,0.8192370898136551,0.7194653941902724,0.7526589447225697,0.7497776724368262,0.7468272943867942,0.687292495042399,0.7488655579799545,0.5356950376306753,0.6520174324258697,0.631281198293213,0.8167017246764283,1.0297960795904633,0.7510622427581634,0.9539748375801479,0.5705057823411015,0.9657283051456271,0.5822900909579707,0.5511308024296753,0.5811628073050302,0.6663786078184414,0.5262643533428596,0.6849642928481772,0.9410162532683097,0.7207545806489067,0.7480934876149629,0.5375149768902028,0.551363946165958,0.5735023352074982,0.546529492460773,0.5190056362409411,0.5332449297331243,0.8230667970189697,0.6792327345835985,0.5399338438185184,0.48766161027351096,0.6374556275550269,0.6504988287321113,0.4865874459070238,0.40859460647914214,0.5575794757443725,0.4064026799630701,0.5279113837190054,0.45388843989668726,0.5148838521953447,0.6772717077522235,0.5825016565864326,0.6510820974241264,0.7214334214797103,0.5904814461992128,0.6653084076095898,0.5044359234817964,0.48749890124548556,0.4137091591128989,0.45697111222001074,0.4490116517032303,0.46265360448612686,0.4815135236368897,0.549127463884995,0.710433336121098,0.476066177404331,0.5095792559490518,0.44554324735274325,0.46366260706170775,0.41460268384450544,0.44413280113999054,0.4770825594432234,0.49563631911347455,0.5180011437878299,0.5796417674776676,0.6351161164590092,0.6764292635112119,0.6733421998929715,0.6942095380208916,0.6479726800028074,0.658137754559414,0.6169318969673981,0.7263316220632365,0.6896452076963188,0.6327446921385372,0.6180454848392979,0.8638451345307068,1.1042132659415869,0.6724522246783439,0.5830249618819954,0.5923980774629118,0.47264072927501716,0.4631619311416797,0.4547332145143627,0.4395072758891751,0.43952662503926526,0.4809270978692507,0.5119777242980862,0.7321769745368855,1.1898994918729406,1.2662170922044056,0.5133641302503614,0.4176392240002116,0.40104419097562716,0.4171222115408301,0.49325738223223153,0.5561234986826273,0.5078468089234992,0.553669235158418,0.6126667649566442,0.6853769170855346,0.8069235691838469,0.8139098295498718,1.0581173567492497,0.9696772414344892,0.8950265868757514,0.765307031072663,0.6908047729294449,0.6615917646595479,0.6067099802557682,0.5429109438089391,0.527903675512383,0.49491803145994406,0.5693290791185668,0.580910949482049,0.5829207472014437,0.6664023621580462,0.5809708052594476,0.6755273272297857,0.7718859051620159,0.7538147683664723,0.8355777350352166,0.964670886120042,1.1470437180437842,1.956361050200836,1.2386491336406087,1.2665735385472119,1.1147405983434227,1.0123710583246799,0.975211862987035,0.8526387492540427,0.9370714460971965,0.8510421357077463,0.8359267198448682,0.7778669551930694,0.7763475749888796,0.6452908080090445,0.6190091952290091,0.601501589731927,0.5852927619007274,0.5640277219752264,0.578676774882265,0.61536921595077,0.589192217873626,0.6028795849358053,0.6576012326934344,0.6808837084886334,0.7117848182121376,0.7693627545210552,0.8401599099939613,0.929292142817347,0.9450288736492217,0.9253723281573882,0.8100301272539002,0.6839077383585225,0.6798450359080627,0.848086453146484,1.4795861907264118,1.0316136360524193,1.1662181753913572,1.0744513751829345,0.7414989703206809,0.8181108243174228,0.8263386573379513,0.9110896886938805,0.7672226662206808,0.8525338448160992,1.0073889826288638,0.9885901524504037,0.9071299422181602,1.191127079005753,1.2882920309739523,1.102477167167557,1.2093529004707282,0.7945000365026645,0.8639067675270372,0.7951895990604076,0.7542721157954337,0.9310721248728937,0.8085750390987299,0.9214706359052969,0.8016371258118652,0.7104544821192066,0.7511634466181893,0.7541314156100578,0.6048594988213049,0.659746292441586,0.7831054587617992,0.6581826445282221,0.6540395411563845,0.7621659959456379,0.965004390573297,0.7295979078003407,0.7055550312296992,0.6639123586549646,0.6197641947480105,0.5995058687895066,0.6769969813073872,0.630552209790745,0.6136201791778643,0.6631037748097203,0.649148642655561,0.6628427196254615,0.6505868801218355,0.7394903722188515,0.9281322886844273,0.7487400687637482,0.8835075773299452,0.9431407296056132,1.1716516659034275,1.0177340929513727,0.8559234506799797,1.1603835921183996,1.2655260162042212,0.9531577202129031,0.856630064095858,0.7565217711450359,0.7353754416830869,0.9013450165053568,0.7113617896370082,0.8058366151527859,0.7992643732201813,0.7207599370893397,0.6437622758609809,0.6731303735303692,0.5905584801127656,0.7296352749398751,0.6753213888477533,0.5808370472743648,1.4656279083467596,0.7253636328194185,0.5543732047698295,0.553773921908292,0.5488938506524547,0.5814308018979102,0.7842897401042901,0.7291872701519883,1.9237683404033363,2.040393928797683,2.3047030876835066],[0.4897387918057942,0.5015147405605322,0.5548399714354806,0.4387155188635342,0.7257011036785044,0.5091407278536645,0.5100519196149974,0.5145184388527564,0.5360641321190885,0.5452750303475826,0.5617631831305306,0.5508019537837394,0.58507917296104,0.5668182761149447,0.6832722617822556,0.6370771227029599,0.6467749988805734,0.6943278214304229,0.7580257883294347,0.7785000474685919,0.876066756769542,0.9052543782655842,1.090756525079566,1.085290375049977,1.1310546785420956,0.9106271452633299,0.7975729426323862,0.7017596245269692,0.6687589805556775,0.6274423010997663,0.7042069963636255,0.6118207223510413,0.6609097725761108,0.6877850205830912,0.6723714119425271,0.7235935214839939,0.6545152224682124,0.7298431559633796,0.7320008200231847,0.8519567730038714,0.8847632706178497,0.8060960733376655,0.8404370636874704,1.0014701809518427,1.5190861287937765,1.6789095496085078,2.0220345154979986,1.3281625704168516,1.2556237765187148,1.6651161356544704,1.3882410131924543,2.0856920170807647,1.3314476501379282,1.3185925725295782,2.0503808961103536,1.0507554892837672,0.9962934489335368,1.513027231790716,1.393483096957231,1.3321191103638386,1.0378604029679828,0.9090361111064167,0.9740307386532252,0.9670196125738851,0.9744654140798081,0.9138746246078717,0.9568816520078642,0.7739641360103983,0.8560066640775008,0.8296526291815686,0.9261335990226288,1.1417895254123511,0.8963607700309868,1.109822141683071,0.7672592752014904,1.15544513003623,0.849659832405782,0.8085363051602268,0.8240306593453286,0.9085127534481601,0.7187255642278781,0.8555638249534172,1.0266971877018594,0.8810671550232809,0.883539441268977,0.7153968712839903,0.7353454377711055,0.7374923107565924,0.768001527803533,0.7263276676863899,0.769911245807098,1.0276665335794453,0.9003807313536993,0.7570703657949531,0.6813831067972611,0.7865999133613071,0.7823983325970011,0.6560902255178527,0.5704321001936422,0.6412949615338884,0.5868673274870568,0.6261728684783258,0.624606315992428,0.6356117706651606,0.7866358518055807,0.662192152025723,0.710822403347787,0.8233374758489834,0.6505441064361048,0.7272825619969085,0.5667378839686272,0.6052155756065263,0.545255753788726,0.6030524832263664,0.6394817249317605,0.6636790313984681,0.6797926218309589,0.7497016466970292,0.9078427122224814,0.7110095795418098,0.7315728353943439,0.6456264187057658,0.6647663788869537,0.6130907001379997,0.5892245316962673,0.5986217251104508,0.5417385270752983,0.5889134364547108,0.6470434343644139,0.7062509801258868,0.7061875485440028,0.716467247958712,0.7787716018940612,0.7247058741276976,0.745876923859815,0.7095242931463331,0.7573512770990235,0.772526249207398,0.7369684316662,0.7468441827033372,0.9898139990837761,1.3196879388252973,0.8846997241052255,0.7553098756913991,0.751287730584939,0.6748175289171601,0.6517843980630793,0.6246296623378461,0.6072037419141847,0.5648143475968734,0.5667512551104307,0.5864660662131089,0.759311156727758,1.2056984074309993,1.3189128742347012,0.6188705693220086,0.5558369590099781,0.5181934019260651,0.5816104862711452,0.6424050406391324,0.7409061840502476,0.6812653843812824,0.7250880871968947,0.8093320831896584,0.8529957563808165,0.9430461870631243,0.9303108714528027,1.1676321579206672,1.0732945050531981,0.9676135293407357,0.8511347590386998,0.809380855816155,0.7961040465790559,0.756642638891446,0.709910203216571,0.6788342133814778,0.6525947394311268,0.68541586177529,0.7454064548894114,0.7344858314565459,0.8169227820319842,0.7268567113665083,0.8138375561061588,0.8958039156962941,0.882114951146516,0.9994834100461117,1.1266112937771167,1.3475216454659877,1.9602514849544947,1.426956254508423,1.4547115564256796,1.2622208435314646,1.1761996764259834,1.1192217915576081,0.9694324558917731,1.015234355672188,0.8980936088821483,0.8603570587370869,0.769837191893578,0.7597883314671099,0.6375181137914768,0.6062893488533451,0.5839459159495963,0.5665438096764868,0.5501972627088462,0.574345045624635,0.5988653892055074,0.5888318355173232,0.6008612416125162,0.6670903893991524,0.6943280900019032,0.7239172824667365,0.7775482204231784,0.8633879311737954,0.9576837017782739,0.9733768482289052,0.9473101244898432,0.844282114444139,0.7029695292932648,0.712988414363851,0.8645657249753289,1.4100333070041189,1.0609003505714478,1.1408685978793383,1.1034738864500417,0.7719851044798913,0.8322808428017865,0.832360221006188,0.9209153632976909,0.7873713844585016,0.8503717910862555,1.0021872637898126,0.9548506783978495,0.8960092525362414,1.234934147717597,1.310465579824958,1.1079688617189563,1.1967486786953043,0.7825691261788736,0.8824833873680492,0.8008865990248941,0.7549610239054522,0.9434724933722489,0.7966420262010421,0.960585054785621,0.8249659490598663,0.7244722018884202,0.7704491156421482,0.7749797291666037,0.6102802536640405,0.6631174586365697,0.7909042995969935,0.6623293759849557,0.6550826931916034,0.7585388873201723,0.9642923086609178,0.733463059553043,0.7108980545829269,0.6638764571543229,0.6130040171557565,0.5908177031127078,0.6688511371864709,0.6294672575704733,0.6130799642758975,0.642450678142204,0.660005952112317,0.6734081134647976,0.6482285329396306,0.759296692451078,0.9354091947688807,0.7479726368978997,0.8825359493013634,0.9462929295244034,1.1602970470526353,1.012479208044888,0.8576188282165215,1.244291187069508,1.31611815439144,0.9693955442415656,0.8861846024013575,0.765736723930631,0.7557394550844756,0.929550959241482,0.7172489394522366,0.8008782262196742,0.7777441454649782,0.6993479905066518,0.623742538727099,0.6541315677128615,0.5990970451494911,0.755946903286185,0.681983938518304,0.5987779048080564,1.5024275485849716,0.7802485646376605,0.5791648686088926,0.5902159351608259,0.6163580935002642,0.5996309367949734,0.7960947904890271,0.7561248822961967,2.016519657482324,2.1587736063675087,2.4111379743688865],[0.8498290615740136,0.8369293884900713,0.886280163210098,0.813650885644689,0.9778985869360619,1.1135456712950877,1.2406268792415995,1.319098568147506,1.3570628828010574,1.4543566317257857,1.458363523184635,1.4320199671381777,1.5436552267963686,1.516815823852152,1.5666406782871307,1.5779851426121703,1.577260722898643,1.5907968734324343,1.5823453849020523,1.5820642647124585,1.5712855374683887,1.563802415787598,1.598663769327092,1.600538053905301,1.634263234774391,1.5778061976842734,1.5353002242327158,1.549806340342505,1.5825822624529242,1.5692326595045534,1.5698054173278648,1.5580650046832252,1.5588574806122752,1.5494004915045463,1.5702606490368076,1.571900791403918,1.5528362982573476,1.5251932305207745,1.5179110932335607,1.5565344089840552,1.5377250735306416,1.5183335408889755,1.5064306065915005,1.5513044155982232,1.7774913268611419,1.9388746511035897,2.1746159229474693,1.712506170590871,1.7377853575976077,1.9195293617709173,1.777340440827949,2.656904418494451,1.8986281605271749,1.7628853969238858,2.1463247182915,1.563390216494071,1.5934108442004988,1.743380206036229,1.7251665661540831,1.8277498181435385,1.6592425525719368,1.6476904789592028,1.720403216128639,1.6523428243427816,1.6422115673212472,1.6993928505135671,1.6411797805883521,1.5835312739960254,1.599519539033621,1.5831685789224208,1.605642056236452,1.6845637843544865,1.597067131241501,1.7221740186249197,1.5420287181113694,1.7493552570044273,1.611905755811522,1.5818034167020418,1.609124344798714,1.6050453946300358,1.5658576646616609,1.6038897613556147,1.8181972364139654,1.6238474643369507,1.6207811467474795,1.5810169784060273,1.535630337489801,1.5453607487613499,1.5638233932035142,1.5772163573109206,1.5627616323560143,1.646226215383762,1.6083111982965264,1.5838704655553841,1.5624067619229338,1.5728523171911444,1.571417417544792,1.5481058709157645,1.4954795494222501,1.501429547004902,1.5182592830221862,1.4497059916819073,1.4875364017045218,1.41491254436656,1.4281002774142433,1.3235432142214336,1.2846004432092113,1.2458791665683724,1.1170312966994416,1.2557760579607367,1.1455326027561301,1.271177533820871,1.3220401375794029,1.3772327068500847,1.5437401363248573,1.5282604389527221,1.5649386137641772,1.551403124110267,1.6787814636478007,1.598976671190361,1.5950560076533233,1.5734074315888464,1.5854186372094536,1.4981509034192304,1.3931605890781247,1.296884454458953,1.1022116801669106,1.122136714556412,1.1059975922616394,1.2053823052281298,1.0528489990196,1.073638112587329,1.1275968486395307,1.1995880002692967,1.170162716003094,1.2238272727647632,1.0807109346097856,1.1823723842528422,1.2039032921948833,1.362360461097544,1.5186137285778631,1.8612603859216443,1.5197063652261125,1.4764313681703296,1.4437051014080828,1.5067916695778028,1.496606462796288,1.5032698092798467,1.4438114330658316,1.4331909128422355,1.3550893992424207,1.4363213392620728,1.522587576763403,1.8009291204087001,1.9095524223079254,1.4918883924005342,1.4549366028359907,1.3922049193179917,1.481315135501278,1.4001160233467216,1.414852182898699,1.4977411404890273,1.4422482514055122,1.499938876766313,1.3723316574380402,1.3247692788599768,1.2329594364527101,1.30575148712058,1.1812578796155686,1.1744238259809376,1.1641486585346374,1.2665397203617683,1.3352094067358193,1.3864607109861016,1.4546087896158275,1.458324193422292,1.542124349369453,1.558198090812253,1.5063494772388761,1.4495268774324217,1.4187530547524758,1.344071940388806,1.2819246116463907,1.2541846533971932,1.285427006284762,1.4870930859953568,1.6562163952859634,1.7443831691032423,2.1506400675066577,1.6420579007840674,1.616083615573009,1.5068950912442671,1.30778661657559,1.2798871353934023,1.1529644377503285,1.112306375891086,1.040417875872312,1.0296933069174892,0.951939964523836,1.0660317134287038,0.9139057338271576,0.9929847853768886,0.9865071790739168,0.8375337247962005,0.861916529564634,0.9163791745524815,0.8542445776521894,0.8191244854476512,0.9002044499643137,0.918758277783509,0.8845191249314655,0.9154658297563579,1.0080324099932518,1.0045597730191622,1.0476141592150159,1.0572348701188945,1.045609763175609,0.9524305493134239,0.8562729548158549,0.843157175288296,0.9545019009916957,1.6100196245896177,1.1099903468207448,1.3614486869237616,1.227002693041202,0.9169034307000902,0.9876448393472271,0.9478793298745202,0.9706852613117195,0.8747728115098687,1.0180481869076545,1.1080008242858188,1.057333327581591,1.0025648573959287,1.2751668345162426,1.2752689812441163,1.1103584627326604,1.2807884070921476,0.9318535033269922,1.1094843866833835,1.0246272593588166,1.0003991049519092,1.2038458283900024,1.1399351064819112,1.244731598436068,1.1353258394790813,1.048098444665961,1.2046807943001316,1.161899641342302,0.9818061468427695,1.0475999310377773,1.1593296199660241,1.009110197632759,0.978651753228868,1.0869245243013133,1.2184975288525675,0.982201388630774,0.9526972642567757,0.9034522145895204,0.8952418755519925,0.9092596638250399,0.9264036849783361,0.8498777075289707,0.8329862441327734,0.8789790882790176,0.8157335003314377,0.826080595540155,0.8088394907261438,0.833205956115033,1.0149740511509315,0.8543747871253062,0.9070886262366807,0.9867745199709562,1.2435809879364312,1.1082448088745562,0.9687081641304902,1.2762803604153174,1.366557990217671,1.096850199663356,1.0072904995049554,0.8941402237763535,0.8988009237703412,1.016927480802299,0.8367155580896739,0.921370654312165,0.8695161834438053,0.8149047843376336,0.8321902061768531,0.9408998117301002,0.9990326400909211,0.9843131973941275,1.1668992690883124,1.0831599753782297,2.129698429590447,1.2071051375517492,0.9315283040418212,1.2058186413178202,1.2584216911494697,0.9848548751484709,1.0939395635262514,1.4537562466137883,2.673343223608564,2.9604194668649284,2.9070320497046604],[0.6160455674664441,0.6339744629258077,0.6903874519013506,0.5561953920361314,0.7740115036255916,0.6394814378615944,0.5824109098576155,0.5624448699362434,0.5367492269306476,0.4628360709032338,0.44774297177658434,0.4700244309166363,0.4559593107693572,0.39902617901707504,0.5179821179610242,0.4695446850475583,0.4460416509646905,0.46552990058422256,0.5450750616411989,0.5618113595090342,0.6375956869856143,0.6744341942745491,0.8842537412443949,0.8819294509079281,0.930051595743315,0.6961990332140825,0.6007110749058308,0.48323187623333713,0.46762604577145783,0.4593098712156297,0.5000418822790154,0.4493116117974718,0.4857264103525664,0.4796788796642206,0.47484745404605244,0.5192533115341235,0.4841904299177312,0.5533904710158254,0.5480814982346195,0.6547432237939667,0.7332109235492456,0.660572188959486,0.6885936628342554,0.8881210369870735,1.4457089224995159,1.6521692240133263,1.8736613860611906,1.1992631895096548,1.1575014849309222,1.4965122830203683,1.21419744136711,2.0889215393351113,1.2613839137701814,1.1472967943821277,1.979983369973982,0.8834223270427758,0.8181894650175278,1.3802654084791672,1.3641641578136587,1.1389697754882684,0.8017412287533022,0.7152609320321887,0.7623145683618046,0.7408481372667022,0.7291816650594652,0.6809604459264134,0.7419092368873106,0.5267345314805907,0.628095169385715,0.6109797474016481,0.8067275325705847,1.034987086218324,0.7427109078069474,0.9267769439869888,0.5688033930784357,0.9558737623149618,0.5757179045054359,0.5517726491638872,0.5922487517522819,0.6739077899397233,0.5324208147748323,0.6871031015338613,0.9671837034169513,0.7419707989109777,0.7680240890061358,0.5638200646318855,0.5578934753674516,0.5718412485478654,0.5586150758227343,0.5342332458681144,0.5306622774029127,0.8167643894686545,0.6872282684060863,0.5557425746558285,0.5068172073481153,0.6450644502351507,0.665579177984782,0.5230162079921381,0.47163645830073553,0.5966611686613199,0.4822816554191511,0.58779418981852,0.5314909386440607,0.6001926108004216,0.7237634319989623,0.6623310209669081,0.7262175562678553,0.8058357448511148,0.6798545391936355,0.7783545826422936,0.6135534316022971,0.5960089750090436,0.5454290655444035,0.5474061752881817,0.5093788708924112,0.4944997639992,0.48813820356901627,0.5452422132456123,0.6954567766715625,0.47376279076687705,0.5009118279217923,0.4500367464456762,0.46303137374366643,0.4733425360616299,0.557229647908657,0.598729858164835,0.6071452544197566,0.5943957367214276,0.6490783957379244,0.6849740727441049,0.702851209578163,0.7002056144310982,0.7268382881689812,0.6784249064645252,0.6934730794993963,0.6727060683206044,0.760492387430834,0.7198525757664332,0.6488551015042068,0.6394887548414684,0.8579899396036905,1.0810216328994877,0.6470042651547905,0.5795543538196714,0.5797822895481193,0.48940984177009184,0.49309588955197436,0.5023312706516835,0.5245061487992354,0.5396951948484527,0.5975912010100194,0.6081284832121013,0.7860629778653787,1.182060737421737,1.2965966041444363,0.5964406601587319,0.507257520605933,0.4970379376768856,0.4918112614827914,0.587362642354663,0.632377189874386,0.5407732505932992,0.5820859318225962,0.6384599874749379,0.7015067330147615,0.8063046922191791,0.8148004393598252,1.020472079885813,0.9480650728798709,0.8893359948739727,0.7823512883845727,0.7178013424359233,0.6934087041939592,0.6443955075319641,0.5890254734598422,0.5845633178799972,0.5527395444928079,0.6107472055809448,0.6270551046387305,0.6266176712383515,0.7031887654701637,0.6422377026399951,0.7074559441173915,0.7749535807601139,0.76558312893145,0.8511292964596395,0.9708333572025812,1.1519390802991496,1.9403644884685483,1.2241658176010344,1.2549424258354906,1.1339885276219928,1.0083193139606619,0.9723845221173935,0.850236874150109,0.9054811777112745,0.8376896047789818,0.8252832106274375,0.7820374711344726,0.7973902773634084,0.6881359014233323,0.6857164107796794,0.6673158851541596,0.645382161340364,0.6472333974469776,0.6591736387248137,0.687569317017291,0.6683170083170622,0.6854399059533973,0.7418671227512966,0.7608049494967206,0.7778220247043005,0.8278887266203305,0.8918476681325356,0.9587572040548596,0.9639306998940067,0.9613627791806549,0.8431962639215606,0.7415543079453082,0.7333923867211857,0.8322444406714886,1.56876047890189,1.0481002872933678,1.2944364208695043,1.1937212496527845,0.8151243690257849,0.8174787735138795,0.8023521086413339,0.8368567380607679,0.7412280611892108,0.8649278892331951,0.9940173126043794,0.9406490929157668,0.8645580437310996,1.1978270575534624,1.1832828012608492,1.0240724774149474,1.1906771326466465,0.7884258442687054,0.8863124159087394,0.8235942569673183,0.7906153570054333,1.002504129906963,0.8559430104279521,1.0001238411462627,0.8773844831757767,0.7822483292634912,0.851828154572938,0.8226831212602278,0.6960954539889946,0.7369166588929414,0.8490179499839915,0.7313869837594762,0.7368237801392329,0.818474104794888,0.9991533175515813,0.7757901005208439,0.7453255612096689,0.722388137994137,0.6882614022360392,0.691228293800143,0.7662540370446373,0.6972483896431493,0.6810600920216782,0.7243536417514959,0.7089223651338261,0.7360599343963119,0.7007346679375843,0.7462446314530965,0.931757993734611,0.775817174340892,0.8316426719328357,0.8930827620236627,1.1431116712352265,1.0066877901351303,0.8610808406092608,1.1598378385564703,1.322346903953899,0.9635588858784621,0.9085689173395962,0.8137821677595848,0.8144991956195721,1.0013994594269897,0.7627176647131368,0.7992891065141762,0.8057787178984258,0.7114871496531161,0.67184546018714,0.6975297207360359,0.6484051177295846,0.7625538965970763,0.7469243907421438,0.6987750603873821,1.6385711071104154,0.8403722568976383,0.6693781202755598,0.7902625950649346,0.7703237079435198,0.7131865287711692,0.8021386971014562,0.9298436884992493,2.3394103068236376,2.507040916269912,2.737941479875258],[0.7402571004618157,0.7877824179521524,0.792628755197563,0.735668589499817,0.977052835758085,0.7582963632212555,0.7256375239501252,0.7159394633472284,0.6677084105653625,0.6418099137103813,0.6311248768128043,0.6429538972150056,0.6578101682323982,0.5922712864350175,0.698321921710693,0.6723071834516376,0.669708910471165,0.6928993599668543,0.7433661668319503,0.7436368775609243,0.8230768423342899,0.8515938742809435,1.0218823247483322,1.0310717821174995,1.053380888722997,0.8288660647312148,0.7394736686212815,0.674505321489579,0.6638676992684028,0.652258838469783,0.7159558038513805,0.6457975270702865,0.6925018411554058,0.6958418236403286,0.6934473989783349,0.7306477553052856,0.6790072918817497,0.7178368420971564,0.6992511142824751,0.8256557320615336,0.8583121320358331,0.7513192776975657,0.7875505229109009,0.9492743419285593,1.4878186615586935,1.6261592923327766,1.9408128230842765,1.2650152016329936,1.1955050337967856,1.5818420968093367,1.3221184285530787,2.055065236651362,1.2847133830687214,1.261919509385956,2.0147914909773856,1.0078438246890813,0.9439772957010518,1.541947917754892,1.3975150846488258,1.2798554981176247,0.971840683560793,0.8696729497993396,0.935463591608695,0.9183233339330635,0.91813051219413,0.8553290211810826,0.8984038141823162,0.7412398828728114,0.8274193199575123,0.8024330426333202,0.9490217226882882,1.2141761595374536,0.9059851719466256,1.0876190985266727,0.753720513101709,1.0901708278588038,0.8033269213422988,0.7879886920073971,0.8092454808040016,0.8950158786975713,0.7196246967597614,0.8601886498544725,1.012085884611042,0.9392155070816545,0.8972315104553649,0.7272045808074517,0.7134542818503715,0.7472231121145834,0.7623566286075145,0.7459170296258129,0.7661847408483224,1.0157820542559446,0.9182997334857302,0.7664555650818852,0.70097083448064,0.8038424321099967,0.8096276176336026,0.7037198242946974,0.6651019624243919,0.7177381440898266,0.6803051035605114,0.766894253256694,0.7550237940126301,0.8223687552762067,0.9609652628437699,0.8504627826150374,0.9096942846660957,1.055096914913097,0.9139345468718759,0.9505004381798529,0.84086726630336,0.8267022936248897,0.7521331870595909,0.7505601535740722,0.7049967985986537,0.7029623559621812,0.6723527733550653,0.6901737045546672,0.835512825219058,0.6821382163388618,0.7245131063920754,0.662007888338417,0.6648305487765988,0.6788738300272406,0.7219868714880096,0.7962698477356902,0.8204198119205391,0.8240414858542755,0.8869144137620066,0.8954100919391024,0.887502130767574,0.892067880056061,0.9213619787973638,0.8741832022041308,0.8840819700630992,0.8569185775570591,0.9136521257503123,0.8902768790819133,0.8265778423456043,0.7940378003119032,0.899549805568895,1.2202764991979425,0.8085311544763835,0.711164708538532,0.7206229437826658,0.6824044852148007,0.6873893349841236,0.7034421915279349,0.7501155703803776,0.7253382801650993,0.7652006068332209,0.7304933321397519,0.8617892492432406,1.1572006031068367,1.3223129068761053,0.7456170446913608,0.6978970827414633,0.6979098015713737,0.706488997385033,0.8320625544164333,0.8849948634915398,0.7311721690677228,0.7613490698982118,0.836749356305002,0.8725633176445944,0.9308308204951163,0.9583707516820628,1.1652629812105473,1.1087862843538336,1.0177716317818137,0.9444340571498806,0.8908051277298448,0.8736056665058471,0.8504941835778458,0.7968410909956737,0.7978414295447197,0.7426629483674847,0.7713797807371395,0.8036303546508435,0.826091607768174,0.8847615657269291,0.8858479780454425,0.9303246958534186,0.9744669685427435,0.9475873137712792,1.0172835509029816,1.1105795512719647,1.318953858892815,1.9090284766403225,1.3975717730790091,1.4338632718163205,1.2848775629510836,1.1990806049423486,1.174241576978661,1.0650253852454277,1.1271314611932457,1.0354776021597512,1.0227818783860616,0.951326850955423,0.954361717798137,0.8794976296725509,0.8694643187200186,0.840624743068295,0.8308538424671454,0.8267522749990497,0.8449349160289805,0.8548655919498066,0.8566451132395989,0.8625500334562682,0.9199392872105073,0.9378354575987965,0.9416711494812124,0.9521456200167567,1.0405853274224652,1.1036043538102847,1.110279083220978,1.1215925676268812,1.0404601976090788,0.9264942564380769,0.9384491369238058,1.0119761567081265,1.5589122677076346,1.2554177386939014,1.340282130073293,1.3655952730901364,1.0390555370963677,1.0582935327044356,1.0025106854733372,1.0468707712201357,0.9716789403554474,1.0236433407237888,1.1300899982144414,1.034575759258159,1.0040172372269478,1.3649613950469361,1.3204487056348582,1.1654563482992966,1.266453635525263,0.9395211387776671,1.067101673887824,1.0006689494636594,0.9843719877673001,1.1801975324513303,1.0570277592874093,1.2351138405944289,1.0916441707036817,1.0123092721455598,1.0550929227765724,1.0346084208818145,0.8994293266754045,0.9199595535221206,1.0138212944543046,0.8985079568750145,0.8981802534353307,0.944406631316221,1.0972476566537221,0.8998176618253216,0.888272536960973,0.8869310645466663,0.863650087786165,0.8757585807838942,0.9301031050149289,0.8866871726896796,0.8721277824780203,0.8812533548083615,0.9085778047374247,0.9263637130886023,0.8904814786533625,0.9538379676101505,1.0839270536539711,0.9543121497273374,0.9955185050160903,1.0610795730303286,1.2807186612138,1.1497334328868773,1.0392867941095427,1.411395178165554,1.5460995690922448,1.1132068886871964,1.0874213350797295,0.9851314164598406,0.992784016562194,1.1724259190498145,0.9576453855134625,0.9580437561454054,0.9586848123811611,0.89295518142087,0.872200941152852,0.8755213896042604,0.8496986264189441,1.0466714063387763,0.9038189848515966,0.8759290138338126,1.623927858818924,1.0522752901095864,0.9068494505340704,0.8998338028258044,0.9056151528333678,0.8853415022092802,0.9908386924941066,0.9473979833350656,2.3979345751966434,2.5721477031816504,2.908648801132081],[0.6808255966762009,0.6743786689948488,0.8119734662634199,0.6063776767053294,0.8168429128598331,0.8322047617614547,0.9093071450359402,0.967140856706007,1.0061397572391988,1.0510195630469474,1.0796608758343236,1.0500846407489073,1.091886432187934,1.0512218391169417,1.094799050837314,1.0614626168450145,1.0631506472785408,1.0514047307663494,1.0041870431671864,0.9943256745039262,1.0060087914443818,1.0145581700773263,1.1262071817946808,1.062559041168125,1.1433022497753362,1.0019259601417392,0.972948332627633,0.9765011223283376,1.0061182176684889,1.0201949345068466,1.0878674276872708,1.0235146279127882,1.0832170322382715,1.0698426407724146,1.041010941347555,1.046375306318874,1.017728430241579,0.9960939087593724,0.97303729950058,1.0527343999895773,1.069223097093026,0.9344364720251274,0.948470839675626,1.0811862586520682,1.4568414957879898,1.6222571642715473,1.9180287921191448,1.3314275717912494,1.351970055771456,1.6555149701504503,1.429413868516319,2.367434363756008,1.4791945591317064,1.3241281871953696,1.8246262839318819,1.08860735855563,1.0975888454277616,1.3652187231091515,1.2772321249511058,1.409083597115138,1.130526445194039,1.0497105042739627,1.1617441536537156,1.1007285409363865,1.1001358391379232,1.1016678139074456,1.0863807536391203,1.034611195466027,1.0889894618435096,1.1341812083957714,1.182459798565684,1.3895224453391355,1.1609400658269489,1.2958689074097678,1.0426887258960333,1.252615222864895,1.091238588705477,1.0841958011428232,1.0814802762179292,1.1108634404897095,0.990093027243184,1.0219188185513246,1.2707892926484934,1.1694129728923768,1.156569389490297,1.0250770785862002,0.9576307845542175,1.026690256726954,1.026089176345561,1.0598830095093768,1.0935758828199176,1.2696621916922608,1.2415850700420534,1.1595926383184603,1.1015996931798886,1.210022344883157,1.203405188728461,1.0859344816103074,1.0361965813376681,1.0501923108025297,1.0523811356314243,1.050187669822371,1.0565470987730419,1.0520976980522494,1.0832880688381565,1.0707114673402627,1.0661855913262932,1.1051426247806189,0.936736363289144,1.0620195481291033,0.8909849223280567,0.976284399014036,0.9565923134444102,0.9859452311341843,1.0844614038270306,1.0587718044231076,1.0098766327821869,0.9763679339863917,1.0764871101618505,1.049399817910488,1.1182164717852774,1.101048386047255,1.0913076368325203,1.0522787585925617,1.008032294686895,1.0020807365868263,0.9077142913381062,0.8908771585522531,0.9132706938027289,0.971590659008275,0.8988410125341487,0.9276747106067417,1.002593482858436,0.9756873732074802,0.9848176633219227,0.9823693810003521,0.9243690612768358,0.9680264959382546,0.9532147043800514,1.0787913917964247,1.1779955581905797,1.5779262668690204,1.0586103570109076,0.9528119189943832,0.9428317064080236,1.0114529744005538,1.0227082892928248,1.0321124291698758,1.0327171608119166,1.032580432191475,1.0238797993589916,1.0558419968258201,1.1345322034892353,1.4087504327219444,1.5449377858025681,1.058798513036107,1.0210374654412853,0.9974667897600954,1.011715511341993,1.0493600631977598,1.1150611754401354,1.0274104104228707,1.0237086509486168,1.0829982299887275,1.0771553903029494,1.101332780498566,1.1085397276166695,1.2745609262612585,1.1868900504090152,1.1139607975920944,1.0454590556131405,1.047968870503395,1.0667736066776001,1.0554489246705805,1.0437883498898135,1.0405709681005864,1.067302506521884,1.0744147977539797,1.0783284914154763,1.0614626069408315,1.1019750803774016,1.0660871681636437,1.094574549167665,1.1220563337576377,1.102688902303597,1.1956462794299352,1.2741464149444566,1.4845519055118013,1.9161967181386226,1.5405455061527638,1.6220310154124826,1.4610384675951447,1.3255538710465615,1.2625690444395512,1.1383421083085878,1.1473711400298305,1.0075829307736475,0.9602650075163237,0.8685762400494712,0.9025360670743836,0.7992282276941258,0.8340877593582308,0.8113796281639534,0.7355672539901046,0.7545596230905791,0.7897336560047772,0.7609319052246242,0.7500725791257733,0.7899385310515945,0.8380391729243466,0.8302605778501442,0.8395041124762747,0.9028282245658199,0.9505899687724136,0.9932167651738802,0.9859980698113746,0.9997822734070694,0.892855390154659,0.7944617321631583,0.792439346046821,0.8738593136660965,1.5437121815322894,1.1213773351734562,1.3639516951133361,1.3724686124083727,0.9656090733256816,0.9268850502259335,0.8938061227365437,0.8570682257636825,0.8125046645229768,0.96411907739114,1.0931322315291125,0.9611928124188227,0.9138152519599101,1.2656428622567397,1.1957301962173537,1.0634967174985999,1.205987709093097,0.8449501279611106,1.0263380658164283,0.9532388504498971,0.903682796202113,1.137150444251996,1.0144010899944922,1.184521342494177,1.0487569983078273,0.9460527261671746,1.0432309771319142,1.0121440335060157,0.8480101614267005,0.8830283905645298,0.9793907826709516,0.8569074328283748,0.8537851537407524,0.9379461474657621,1.0964626970139058,0.8644108568691226,0.8255386808920766,0.7954051652684085,0.7738766827469068,0.805505324937131,0.881859127916103,0.772853456345576,0.7642561577068052,0.7966601894416349,0.7934080713602456,0.8159517100513088,0.7785391975179107,0.8140322300795416,0.9833731851394564,0.836712575763007,0.8612502521172838,0.9553090438467983,1.2011312904075193,1.067608859042973,0.9268803319434431,1.3203360910384674,1.4511648562244794,0.9972754743194339,0.9644561026814588,0.8586037703484359,0.8753623443055165,1.0553449330416445,0.8282504017031534,0.8565148013640028,0.8442757412510438,0.7610523413202966,0.7501109781519256,0.7953102819087732,0.7977879067888554,0.8236259060530023,0.9146932067495331,0.8889798684052633,1.8986864172181515,1.0537126350555202,0.8208989430230331,1.1161579288054397,1.11668289987175,0.7833479492034628,0.8345392367017195,1.2438048057282316,2.8256175585156167,3.2173286073934717,3.2690505660811287],[1.100589943823112,1.114653746722272,1.3311652251002184,1.083078766866999,1.194183668565512,1.246650776151391,1.2801334764299992,1.266565804798873,1.1514895326156762,1.0641526111494795,0.9348555142423194,0.975772986804119,1.0284763055766062,0.8421472424982277,0.8622585601957817,0.9047933679887684,0.9047525824826219,0.8493519873290266,0.8320405298300932,0.9202289904273916,0.9190340204515357,0.9619000501991553,1.0456974843197901,1.0474618919259542,1.130856738411833,0.9662885376908898,0.9572585971662252,0.9146179809737696,0.9142474672438569,0.9710940565717517,0.8727763855136278,0.9273625958413092,0.9424158070209536,0.8904862184379247,0.9369569024973298,0.9599491801656501,1.0125963226568702,0.9591645683850147,1.0195618540956892,1.1033154252680988,1.0578383772186106,0.9489109098256586,0.9647330441897534,1.1146027781539505,1.4771295099641135,1.6984502078742911,1.8831023423411717,1.3315036344676041,1.4051827400501904,1.6096884443813486,1.4139093407321195,2.5922325726274704,1.6270547986992774,1.332184046706955,1.7930853889248857,1.0570339452858009,1.1334059620552341,1.2583363981181797,1.2606422911406856,1.332610170217716,1.0459290346332903,0.9968664976772709,1.0829461479602631,1.025550076073018,1.0124662353720424,1.0062419321201177,1.0141930985618695,0.8546255875312413,0.8665999505136763,0.8627974931366756,0.9652726266917963,1.1557834286696895,0.9356948204677357,1.1154927979773321,0.8266102734456047,1.1870715245283507,0.9212235711742531,0.9123729224888564,0.967570529838811,1.021846411098174,0.9972300209476878,1.0651305181041058,1.4089078640996213,1.2566355790417476,1.2866837211548412,1.1173509975716258,0.9634364752972928,1.0337888822366572,0.9435469205469537,0.9013134748624576,0.885092104699483,1.0600310655122203,0.9777778780653329,0.8953836573962358,0.8535323183519063,0.9212395132026261,0.9415034935843791,0.9331700092167228,0.9571862688727832,1.077512584065244,1.0591005941222416,1.1780235651619735,1.1642017050565758,1.2852765705907185,1.3005809852725245,1.3809905273261465,1.4126593726782914,1.4197601365369696,1.3608479392666197,1.4364197224818192,1.320667686998128,1.338832305032135,1.2906220963270656,1.3124988577233951,1.1689397388190907,1.1291267148416717,0.9350509565593446,0.9283364156881846,0.9826969915627443,0.8203301569289986,0.7964034474424304,0.8289451974742453,0.9328660774824399,1.1581548400113144,1.274748394650934,1.4245138124571117,1.3605175939127023,1.3316617205816552,1.3367844617004687,1.3447862612460102,1.3477205327336073,1.341344120478444,1.3346588725524215,1.306071468971932,1.3235678470841878,1.3515112296368261,1.3573789987064953,1.3297200576113744,1.2513887932339747,1.2186522017235533,1.1781292219014474,1.3810190239073517,1.0073027495032076,1.0025903452614422,0.9836732639488345,1.0379091618353489,1.1154505189919053,1.1680749722930066,1.2576535576333394,1.2487376747378585,1.3229064289882828,1.256162230594439,1.3270888107147183,1.576507186093911,1.6632098400396418,1.1948169979888426,1.1271646733123157,1.2071888695894506,1.1212246481059744,1.2785888367815825,1.3345314940776927,1.1598949153827551,1.1642344350139628,1.1918501447892993,1.1969521564673666,1.2447471371397254,1.2471407439775786,1.3093367224273262,1.2965220138548537,1.2708641316803768,1.2642813403411328,1.2850752244267631,1.270266483306061,1.2576299371618476,1.2269673296112933,1.2276820434735725,1.1736025980156277,1.2175318599322582,1.229786912223647,1.2560737480344506,1.2983444723389521,1.3154145168562577,1.3187381469858994,1.291751087702082,1.2762863900067727,1.3052176942960367,1.308301156987896,1.4454364107675561,1.957124302031415,1.4606519222163865,1.5801258011731214,1.5331129129701546,1.4409760165069776,1.4400721551593612,1.3884470636955548,1.4097236646140912,1.375246296721417,1.3539243895374868,1.3065077920719457,1.4096179363391164,1.3148786172136602,1.3582816473558474,1.349859024800495,1.2855409038662984,1.3174430538266633,1.3223373264793998,1.2764500898611484,1.269000331183678,1.3072977253983522,1.3068668589145636,1.291788374094777,1.3049158849979452,1.3434365818928293,1.3300800971894344,1.3489941891161314,1.3182283188957524,1.3810681511189853,1.240102894816013,1.2477308050091238,1.2545715875713122,1.289848883086412,1.8949863462226657,1.3959466993662801,1.7604704257613397,1.8494473050798725,1.4243125457020864,1.304608715628683,1.254598220173193,1.170463734641444,1.17551230545747,1.4257193550160423,1.511228855614962,1.402084821690149,1.339657168899183,1.4439073059925462,1.3431841223720515,1.3246108824133196,1.4320553731064107,1.2811051062823129,1.4776701976518813,1.4166552580910503,1.37060906745936,1.5179434728783328,1.4023159661118156,1.489548193464202,1.4413733970201326,1.3468904282889733,1.4394470289948222,1.3995600290313799,1.3344876372581804,1.3357615200552997,1.371351401476234,1.3263484118104654,1.3411088291800808,1.3702201893595782,1.4703753943327993,1.351268525682156,1.3253677536257742,1.3075616937438492,1.2933598284688232,1.328765559774915,1.4068938846161174,1.2792859425480088,1.2753133880140786,1.3348525617533313,1.2781225614700975,1.2965892825681524,1.2536143664948136,1.2070567951220312,1.3518194255761622,1.2390787426034886,1.1882125074989318,1.242785261157648,1.4141231300952286,1.3438382895922338,1.2282711020298873,1.3714008848876629,1.5551262815513773,1.2905558981469971,1.2794671976481302,1.257072695513575,1.2871388990046402,1.3908758944695063,1.209838312259131,1.182207749533781,1.174768228694995,1.1895625989237124,1.2369052820453441,1.3047330478354935,1.3010268377839151,1.200335521406122,1.4004661262168328,1.3862787731687682,2.344654629463094,1.4510614411583993,1.2901340078814798,1.593599506609386,1.5223612213292825,1.2048451087340193,1.2425306633632247,1.674436916064253,3.009367744362824,3.4517796160478484,3.386282450988035],[1.2194757004792258,1.201038160707503,1.2253091203372168,1.1567742596669284,1.2396929744218537,1.2779072069985669,1.2534520456657772,1.2089810311826528,1.2698137956583107,1.2520766130715033,1.263359926633593,1.2451956983310914,1.158735873069992,1.2338222875496672,1.2595623544160954,1.1554486861016964,1.0917410067899052,1.0354532362874393,1.0196776397456369,0.9627015755269726,1.0358911549469616,1.007224782708847,1.2133939934570896,1.2608457773875823,1.231733420244849,1.045844207310676,0.9125964439131101,0.9075815677075065,0.9453892711719459,0.9886019625787912,1.1203265851118072,1.0477430606097253,1.100739560413393,1.0480119963158228,0.9901911427605101,0.9898374913241438,0.9130765948011986,0.8853778570869306,0.7864684632390806,0.8199106879013716,0.9044565507172169,0.9194555501572225,0.9073916355897187,1.0338062729079875,1.5930248047283049,1.769233288349411,1.994087494947745,1.302886979426477,1.2663114799662465,1.578350935780519,1.3281248737940907,2.1077989358674194,1.3196511847006176,1.3014816145370796,2.137871174453741,1.0732593591797255,0.9665898718677445,1.719513904800894,1.6120080927102745,1.3028486751738821,1.0555279358664706,1.0418946923463288,1.0612623709910831,1.0662936729393768,1.0126019062825125,0.9800558584228616,1.1180993693599137,1.0068792861700806,1.092461611946992,1.152096765799028,1.3000721265524116,1.5262701257033109,1.2452142184909984,1.2764645355980417,1.1274617364700794,1.3403499274572475,0.973343431100165,1.0085480309858144,0.9810750080081836,0.9718496877243655,0.8481960220831303,0.9160324544174941,1.0229618089683528,0.9090697718056516,0.9095292824163336,0.7881221760988543,0.8511984259016286,0.9052220630123977,0.9598278251720626,0.9901259993840937,1.0634525279284208,1.29273259038892,1.2538602086880335,1.191178711168411,1.1942650048034613,1.3135805782367465,1.3401096089278193,1.2026051841645462,1.1990666886550745,1.1835881378404551,1.0904768300179934,1.1182268857883333,1.0094828206913935,1.0453235349931738,1.0264391977808287,1.0375699179523872,1.0762996609978592,1.16120736417174,1.0649018210353207,1.1396452924357525,1.0950021746300906,1.0627500684061315,1.14501498568588,1.055030367499725,1.1195817693727663,1.066677946186143,1.0346623390508154,0.9543096503306553,1.0334668286168853,1.043681494338245,1.1442985969105683,1.2080164804385256,1.2185026625221356,1.255967744896578,1.288196888979234,1.1437093188611287,1.2174926592771464,1.0346274608326163,1.0331062887715288,0.9764108817938335,0.9849489979932048,0.9853378954135315,1.0312281514204507,0.9260176958961029,0.9750242602257828,0.9477153406973117,1.054155407160146,1.0067754187046007,0.9532176742980482,0.8463008010892799,0.918983986492582,1.084720146625316,0.9055618229580987,0.8209857645766168,0.8252433118205805,0.8298969529025773,0.8636393159134588,0.9716069480201605,1.0230712228056822,1.1440642855383183,1.1520620259049492,1.2190244316480174,1.2961386914437094,1.4533838010771278,1.5677205088799362,1.1609725096395755,1.145611194564458,1.078550497912692,1.0490086796868106,1.0626166851832695,0.9919457329633797,0.833100225591959,0.7729763646554536,0.8114237499095394,0.9106827012142347,1.115603975981172,1.0923315298704612,1.36463488806833,1.3261924576899173,1.2352566437377808,1.0835044427717917,0.9789599305329771,0.9066416599190263,0.8621090718300077,0.8303903385243414,0.877291769442736,0.8912102983140252,0.8594055431504972,0.8430091137705379,0.8503930597333494,0.9008096606171969,0.9330479683262068,0.9576128734035999,1.001215433818109,0.9784013910158933,1.0425587052905767,1.0661763412785776,1.2691846717872886,1.8934769127573459,1.3816306963953515,1.4843350311403984,1.359395512507437,1.3163682187779777,1.3055407666900938,1.213908203298082,1.2575534337031977,1.1415185389997753,1.0847060728592206,1.0471748044610456,1.0444012724780272,1.0062372682556007,1.0532635383373679,1.0365861363807118,1.019523585919621,1.047127589211868,1.1127693387772002,1.1105636497521436,1.0928912679384053,1.1346699268927392,1.2202596259839404,1.2108185682013395,1.2164494406177428,1.2688033330707644,1.3108067346689452,1.3129270237533712,1.285931716819799,1.320609212271822,1.1898401238827312,1.1135794683321907,1.1180033413653934,1.114662302689675,1.6994389786566495,1.3199104190327935,1.6079895411961425,1.6225193832451288,1.1901306922176904,1.1265693422853378,1.0724798621763152,1.017787290763149,0.984961499852019,1.1426735149291216,1.2831671274806804,1.137336799834445,1.0768434912715483,1.3234888449980922,1.2314735044935547,1.1882794091266926,1.2857744596383558,1.0435493009691998,1.1630413719083006,1.1131594851960729,1.091924832161257,1.2959957984945887,1.2255218508780616,1.3699447304641705,1.2374308654114914,1.2026888126050634,1.2843285022324167,1.2503401016709632,1.1393836822811823,1.1864787065059879,1.2858415024302892,1.1906250610979132,1.170929286160034,1.26415757484992,1.4073838736712214,1.19679143598859,1.1614740438536182,1.1209093920113793,1.100383537040577,1.1026448423548079,1.1696383067693015,1.0935495565455802,1.0727606541484118,1.0610199032314547,1.0816864564237525,1.1203080776137686,1.0587236047367514,1.0380754782409873,1.2236293151705016,1.1172733860009842,1.05247677063106,1.1494769303093235,1.3498027241618904,1.267689995146233,1.1557415996538325,1.4569223629972712,1.6215510070573973,1.242962649543086,1.2716782121115513,1.190137670529863,1.2591795768551852,1.4063970949702034,1.1763649299740182,1.1300856619470858,1.078059197853254,1.0203156482026972,1.025867385906859,0.9980726606864595,1.0271701501795105,1.2127609720122403,1.1223573646072866,1.147348842891183,1.7642475742987043,1.3308914782298895,1.272991528025459,1.3311936811970366,1.3286279815095172,1.3008552955783863,1.3323559296010938,1.3222654804235292,2.8781762665678783,3.145335928613103,3.716898517494434],[1.096144337835507,1.160090800560291,1.306030068864838,1.1585131477413206,1.4035775766609135,1.2104731791827121,1.1956449917336422,1.1641499298576785,1.112486464463585,1.1106461265508343,1.1065933158875243,1.0933955921402905,1.1366638468520178,1.092060499471477,1.1641228550973164,1.127837787711889,1.1167190308659818,1.1081128853699518,1.1652903866157,1.0569191441637413,1.1764526356309832,1.1237101638661302,1.3681869727728233,1.3653861417847135,1.2928681598328535,1.1484220129190472,1.0207710850750649,1.0201421896236595,1.0353613727650117,1.057283538397312,1.138089843730775,1.0591347296916247,1.1117302121124266,1.102220954919731,1.067843636812591,1.0737093753820335,1.0470723717899741,1.049285223471805,0.9758162078823837,1.046578616108968,1.0588862868956508,0.9915463109488386,0.9684303927625979,1.0297189222689336,1.481390106513751,1.5689734942108409,1.8876803362473564,1.262957604798722,1.2688325918746346,1.6099684336673856,1.3586490775778657,2.1697920122996894,1.3271035099511967,1.3425917708232524,2.0218480295287757,1.0986270926855266,1.0337385831017034,1.7160367276857444,1.5349421928258846,1.4172979655306948,1.1470431335157243,1.1163329060977363,1.2155733326939728,1.1968900122108954,1.1378079885178325,1.1611332576186466,1.2768171163404494,1.14031247454056,1.2716539053846732,1.2756926566485678,1.4824142218477936,1.758894578815376,1.427461896337948,1.5077315027681666,1.2133871940209635,1.3920813373794574,1.1132305324800342,1.113215872764578,1.071779486981409,1.0971553733166015,1.0053879647409791,1.0899661276168435,1.2209315779611238,1.2676439194413882,1.2044097765712547,1.0357096028985524,0.9811056638190937,1.0341951479515716,1.0474660136975718,1.0635243658627391,1.1493278860080587,1.3250695869708013,1.3105260155168141,1.225609727536842,1.1722505333271387,1.2847134543919971,1.275139817764479,1.1417250896538371,1.1141898936747283,1.0984990645948156,1.121424603100645,1.2255269516865699,1.1874560070579179,1.2966364002743094,1.3665264167047748,1.39704842226772,1.4662125938872046,1.5784333459469113,1.4954059778281688,1.4453601631518342,1.3625402087921537,1.3204010323049884,1.2444988541721502,1.2273971188189712,1.1630213232173552,1.1520692030654618,1.082348573889896,1.0593527661736815,1.1867248782796254,1.115970861440564,1.2345129706557425,1.160890816908776,1.141341911494177,1.1409669787045107,1.172397126037083,1.3476429775394847,1.4170866700799336,1.3681136206776991,1.4342641219708996,1.411322139209393,1.4451123426489092,1.46653833027329,1.4829066727975568,1.3903399641753613,1.4264713422219355,1.3885449387095652,1.4789607588513276,1.406984426882142,1.3174129278086018,1.2797083772486513,1.110521743638218,1.327676435749212,1.054398773330813,1.0125783779786692,0.9906156725978271,1.0576096390552359,1.0959760273111085,1.1244242274903329,1.2242449061608964,1.2293591859334572,1.2632357570361046,1.2245873488446521,1.3476357240370767,1.3926028662137218,1.4954910263006433,1.1401038285697027,1.1317950783339377,1.1901536544538356,1.1348845861693468,1.2863333375270025,1.3157163383063517,1.1192246549817502,1.1455561875640259,1.1526225046114427,1.229479527583948,1.3069687228444047,1.422028143880111,1.5772171445044327,1.5923851953197732,1.5329837700194775,1.4840389331642536,1.3775955735022605,1.3101024640335286,1.2662047596145114,1.1918065862591942,1.2082360988820025,1.1663065162801964,1.1837651665581992,1.1650628895650579,1.210557541437322,1.2541705768474003,1.3522734035020323,1.3890899062443716,1.4106366490120659,1.3625399948321706,1.3109039836087124,1.2988281758822293,1.5056525683054929,1.942346604559282,1.6437825995090414,1.8224147959624293,1.6643404954882135,1.6509624552363693,1.6315153994610136,1.573860184845772,1.6171143484799941,1.5394366488023206,1.5168665768999077,1.4983084121376786,1.4823601333161447,1.4570700156608989,1.4527456439689175,1.4265740048058206,1.423957184754721,1.4117062031861847,1.3973828990289332,1.4231365013050026,1.419736939657932,1.3916613618383142,1.391293887740699,1.409156361798069,1.3965525348103067,1.3523336673316773,1.3815094658941698,1.4544537853358013,1.510836525511044,1.4906177146305684,1.4946282806325721,1.4357649033347188,1.430377731785074,1.4774182400854141,1.8675278627190253,1.7089504300964864,1.9322437614210284,1.7879850958641752,1.5440819971236786,1.5646419136688388,1.5272725317701052,1.5757542716501904,1.5267182324874624,1.53078775569718,1.6423198595751483,1.5565548575915944,1.5235609868277986,1.76136956341592,1.6645296617146874,1.5901960454533643,1.7453693084475839,1.5124756230784957,1.5533990365165868,1.5091767615970246,1.4963250195925273,1.6566227581575146,1.6300757937903432,1.7216800372821248,1.6250021692301466,1.5788196609162493,1.5909561349737689,1.5432071909784755,1.4409448331871213,1.4247599561660471,1.4416883153111475,1.377059424600686,1.3980707751984687,1.408139481534048,1.4809915874058304,1.362448169063826,1.3661543634217206,1.3780529091637956,1.4233280947193216,1.4463013551961201,1.5103520105108328,1.4557536537226816,1.4172665865589757,1.4759253336021019,1.480243586757327,1.4713795405299825,1.4799711893324405,1.5425084160035643,1.5909150017738614,1.509686859457542,1.5639303275388963,1.5940011380525347,1.680460084885201,1.606153766247109,1.501314709562385,1.7903200018208132,1.8198375964712026,1.4863331698392357,1.505342724040693,1.4730549150521974,1.4383611887232648,1.5417991722577284,1.4525730186473942,1.4618407953073531,1.4635769648446986,1.4490944217704065,1.4464990752247888,1.4393114290102447,1.3966956362744618,1.4672307045843926,1.373778471572506,1.377677677318568,1.9217018802895316,1.432661360004022,1.3767832436816683,1.3939735793559307,1.3375625772933324,1.2533194749263834,1.2965705135621564,1.3447627769085242,2.969021328725257,3.336131106571304,3.702584219767127],[1.1336581257287277,1.0567781515881485,1.1644630039793296,1.0168970291245518,1.2514046335289193,1.5088304867281626,1.633362863705234,1.7658005248268092,1.9000802028061976,2.034922610539799,2.116144461506364,2.074791823630536,2.114484863336733,2.1448804756288244,2.171931623955032,2.1455612643806856,2.1126597640269584,2.035715975903977,1.8753531638829144,1.7281900824855974,1.632751270494446,1.4520058543318841,1.5731450977372177,1.3698149614503197,1.4424287985308182,1.5432031399140704,1.5974358742280832,1.8275854799290856,1.9328493756569647,1.9943677034836431,2.1013527362217936,2.0481388979841015,2.1089825839709406,2.0374915352166645,1.9597488070092137,1.9167760900974178,1.8897295587816882,1.7731271898919734,1.5467068264007418,1.34954887876187,1.3367781017066551,1.449251586577072,1.3566968422102035,1.2547168032391334,1.5239138102599146,1.6165899662870447,1.8656060749336631,1.336450241330436,1.325023623618992,1.5488972589184786,1.3094873349336948,2.40158226301797,1.4625819792862889,1.4770599315470319,2.08852489768293,1.203894022465168,1.192839196035578,1.8549406668451172,1.7336546227979637,1.5004778184437062,1.3745965859152314,1.5130675110207907,1.7070831787877758,1.5649609225077425,1.4310916449925795,1.6690906775900196,1.7935045871704427,1.8831120248500821,1.9441479063482872,2.125278729677845,2.2389248843572203,2.378631940098074,2.1834048619088566,2.1117883553328864,2.015468141852857,2.0071966740725915,1.7957922029797393,1.8494697269441347,1.777934128533226,1.639936449994276,1.6736940794119206,1.556111820956094,1.7587101066940034,1.5504181528550767,1.5397640667568684,1.6198808944301917,1.632106878167001,1.7839468845209636,1.7918757755308001,1.8964357477598448,1.9800050797459061,2.02537115830731,2.137241270557077,2.1539682210501465,2.175877739628024,2.2473905229056585,2.324846156390351,2.189016970404085,2.145189195222513,2.093139688553779,2.048277663062838,1.9330370621738036,1.8900211222837815,1.7655790641751918,1.5720371830519977,1.6007987729603583,1.5353631545392128,1.455369332411055,1.3590892797868077,1.5398093820442458,1.4682390446013565,1.57720161869988,1.70004578595267,1.7042845909250477,1.9795447986688404,1.9307926224284797,2.041077390809853,1.913696466427037,1.8538537150737933,2.051586220774141,2.196819232087892,2.197755920976984,2.0971518665904996,1.89835886544653,1.7351779933882798,1.551590436287369,1.4262904425614016,1.4360322689376783,1.3514553345411642,1.367693192214562,1.2193545023026957,1.2327446973667557,1.2374714586616298,1.2850289005129716,1.2501337792708764,1.3209795436802474,1.2061775610054695,1.2576800355362663,1.2933745930927052,1.4955063150662853,1.1773249733216522,1.4864018800683783,1.4638945573313753,1.5512716849800008,1.4960521089367549,1.7882264713422658,1.8218711226329267,1.9029177015157666,1.8039498536901686,1.8973779057904834,1.814418140817832,1.9601543652213533,1.963992375415455,2.148158967372752,2.329734444588848,2.003291238363268,1.9985585886200876,1.878166414918723,1.9344786110627545,1.7561926676791986,1.6236182501860987,1.691339287683948,1.4785557501948587,1.4288435646717639,1.2102181865862505,1.1652496348653678,1.2017976421742917,1.35721333505267,1.2978462853491788,1.2152087291565337,1.1968884283513184,1.2586857136378249,1.3315378101783255,1.4266109865653804,1.5450983212842642,1.6266782291774982,1.8103188952954912,1.7533272431203006,1.6082131030052351,1.5481067863089144,1.3940846543379997,1.490042901443701,1.3441993953824216,1.2746333490448998,1.2681295968432833,1.230067204814392,1.2418442590678342,1.3595094083950372,1.7159039205724407,1.4521885789355409,1.7168678476204506,1.527612559276795,1.4497145598537111,1.3614422803455515,1.2885228011452152,1.3088063879208556,1.2593105686515362,1.2208416807312135,1.154583862784229,1.2777425272419023,1.182062798621158,1.2951514148512335,1.2478471565003066,1.1003277137384133,1.1581856403043127,1.2217860308082302,1.1023514187284735,1.0794007402013102,1.1848517669675511,1.1841737840518716,1.1327295892326577,1.1516674044033395,1.238164379913352,1.2017973937633748,1.1749252904346896,1.1660431401189246,1.206570297029479,1.0888602008374668,1.0363442168815056,1.0416156417159874,1.1121476710455065,1.8769715350746705,1.3776882351082438,1.4867278179995567,1.5606143029224904,1.284062677921657,1.3079209812918542,1.264427349063799,1.1597552710071855,1.1268910436269903,1.251717838605763,1.3060740969231643,1.1689478152825994,1.1654014801157984,1.5093816791203634,1.3200256289335957,1.1768117822336859,1.3920376856243368,1.1232273235547638,1.385623199497844,1.3143258264382558,1.3117779800249172,1.5336692339988633,1.5310355243414684,1.6575359302248636,1.4937627175527455,1.430860911802199,1.5867805387565055,1.525959489394729,1.3537559362452471,1.412342793033324,1.5054009265004986,1.3323741807356808,1.2855946740654345,1.3889146118406115,1.5168872791286514,1.2532239478839933,1.2183409944147428,1.1527174833775935,1.177947242906103,1.242007518092936,1.276671082633297,1.1298214659506522,1.1054413284068294,1.1567833254800977,1.0775600836636272,1.0665031017684041,1.0551199184983509,1.105155483185879,1.1865921288389187,1.0839774556005417,1.1150417460949087,1.2202727457977691,1.3784311413151564,1.2745283755768684,1.1370689496977535,1.5007561569809114,1.5826387040862269,1.1400535501311375,1.133022395745962,1.0701275715333562,1.1081287794486223,1.2181388899525374,1.0570560446858699,1.0874614988505797,1.0773044617940253,1.0191312965862378,1.0683412075958403,1.1459804673168075,1.199430761627312,1.2872620471018548,1.387120176354665,1.3950390859519899,2.1504480666984964,1.4931772489078603,1.3922528152182985,1.6528604309830777,1.6402434316297543,1.3741401908189506,1.340460376560306,1.8303013638221095,3.1059085593183173,3.8044313097091877,3.6119852421093595],[1.624672202482233,1.5352599596739473,1.4417733477099364,1.4288792586999437,1.6358479855376509,1.9782375982431448,2.1731185837761204,2.3980591119687076,2.5846120209176213,2.792648107099222,2.94249795336829,2.913118879550099,2.9936361144370753,3.009930575927161,3.113622274434359,3.150611942096039,3.149697592967003,3.1403944467338074,3.011721438391683,3.0122720209980938,2.8695350109295488,2.7670910512896,2.7520907452869414,2.5327982208299167,2.7353455080231965,2.8618621977732333,2.9984425977190896,3.0957896503627436,3.1098053103447016,3.107118890587694,3.1662943578307723,3.119129226484336,3.169688108336308,3.1264240705841004,3.104984074181775,3.0975849222689598,3.0513090150870803,3.0610859629826566,2.892476695593971,2.705177562792993,2.699815894036979,2.9156896416445357,2.848140653048291,2.6823726479616403,3.0252532834905836,2.879063945846721,3.0465297009161896,2.7705408587296763,2.551033264772542,2.8389245961268528,2.6248218306560043,2.358795193209326,2.382610689245913,2.977827964029379,3.813472458083629,2.7192553936550845,2.586180704582996,3.610096834705358,3.4373546615452777,2.7411326062419774,2.7798430342769267,2.8119712650293245,2.9444231205101956,2.771918326728045,2.70609463776075,2.9059859888209134,2.940748503370912,3.0229932482613626,2.953845936436372,3.0909586361243098,3.0790158754353203,3.1787481341138286,3.0564442388303825,2.934062641384289,3.089870144983897,3.0769626933425087,2.939522004705194,3.005482769474155,2.9804429247979116,2.8999744489581065,2.9943226548696216,3.0175819419230603,2.778712910580877,2.634124778213795,2.700064496102579,2.8226683123582506,3.0038109334345475,3.089387660610136,3.0407089364173743,3.0284836750824957,3.1002876476576917,3.076756470809408,3.157467408471915,3.1917666758664685,3.1946053563851513,3.205702172381922,3.220737346079515,3.170979390372766,3.08766716386426,2.9829068790717264,3.0349612738516463,2.7940342773388975,2.866922164006333,2.578116566271924,2.3739760949336346,2.3352543219802477,2.198841328433811,1.943264246629779,1.7774419714591732,2.140872240271522,1.9874273871248611,2.2095569631835184,2.3265479909783346,2.3513685764000622,2.7876148180571394,2.742611141631277,3.087680414317531,3.0948459680044174,2.939856205402343,3.111274627228186,3.1285460452597684,3.070055197473957,2.819347993512758,2.56378924808773,2.340445364233616,2.034804130489223,1.8195009190868794,1.9193464822577075,1.761121364992014,1.9494697061780668,1.5893701717514277,1.6717863365797394,1.732689811479976,1.9721956677431947,1.8050841589608548,1.8467293402540368,1.416204775056371,1.6052954851640746,1.6237166801319889,2.165105471233885,2.0029842961661144,1.9788185199032207,2.8402844133560956,2.7649024736560524,2.8344187782451624,2.9396492043637275,2.849572897393194,2.8288453036818426,2.6236244184002127,2.6156454355887755,2.479204863041014,2.636090413557898,2.6307026536012947,2.756515104659578,3.010464830983567,2.8223952352775568,2.865585037738029,2.674227420972299,2.8580543235620697,2.591398028640034,2.475863741803961,2.7638491248491115,2.5068592525257967,2.525390197938527,2.1923941564276594,1.93580778951598,1.872803859742726,1.9597892344332113,1.759151586716093,1.6752099164540968,1.6969980070818336,1.902306253077597,2.178371667939326,2.358296307424631,2.5613088742818624,2.6124028020797105,2.824705004602112,2.8051221385419938,2.7021845067175727,2.5605005486825263,2.3826605436471047,2.295495874673583,2.132327685583454,2.0582669001013345,2.1047109838106897,2.3419898549732747,2.536907993105777,2.463770231114555,2.805053271807398,2.368844313714367,2.330437448919766,2.217749742593736,1.99933902666782,1.8551906637612467,1.756608414170362,1.7004439310134447,1.5692005167458056,1.5591253500949493,1.3788108958811276,1.5302003465521004,1.4006502219306902,1.536963296640665,1.4813256531623091,1.2329748881810167,1.3173037026065826,1.4070229420640563,1.199061064969478,1.208063177339348,1.3855624733282248,1.4265662279610176,1.3335033413007973,1.3595992898752725,1.5056411406471086,1.4876927065928738,1.4625016288070531,1.4120108819509216,1.4297786873725742,1.2689216250601087,1.1869148396026303,1.1871795639019784,1.1880799744448196,1.8976796931806705,1.4385599166688194,1.6450801081981703,1.6217637251470216,1.4696030895696763,1.5557428901533772,1.547655505371781,1.4308976149584263,1.4287847215596825,1.5269185384109947,1.5770785774131437,1.4362708398908417,1.4544481919750072,1.8308988260752188,1.6869091154229936,1.5165517297871867,1.7123755080292216,1.35742895885289,1.6137467160749654,1.6099994910974929,1.5740010029280598,1.8849210499652413,1.8577782740323483,2.0425708233760815,1.7918435245344693,1.650496275329058,1.8307233290446487,1.8034988893498083,1.5866111818859538,1.714182546097159,1.8726291652122669,1.6461666245786042,1.559426539572284,1.6902471597797224,1.8132097133368645,1.4583537256224937,1.4236073364112884,1.3138831293179158,1.3582034636934992,1.4296568545422192,1.4058556337292543,1.2557808126795549,1.2527115831693905,1.2954902995460034,1.2186833816339255,1.195193583879964,1.200891199174358,1.2503047317506102,1.2803922926462177,1.1923544471005458,1.281692172745285,1.3940160650188265,1.5072044019951567,1.4140884737129602,1.2923337071072838,1.7029381361330693,1.8188481081964583,1.3457263379751458,1.4052810928350952,1.2584723583444517,1.3337643468843672,1.4881356009011486,1.246667880816002,1.2974187592863526,1.2317744395829444,1.132367112730777,1.1651460863796175,1.3269773267075404,1.4389360837398446,1.7410000892715294,1.7295347886907306,1.7422126563048905,2.1143399145356745,1.8428512267057195,1.8929849982872162,1.9950756300160484,1.987378225113454,1.8473958566784419,1.783837685057165,1.9798617253376831,2.828138681960009,3.5455245309975463,3.79507271193842],[2.9246427008902725,2.72375644589336,2.373694442533207,2.5991582457553113,2.1143907177119083,2.7585002416572646,2.8090926095104063,2.90866145629126,3.3699125559413385,3.492584416763043,3.718482620902775,3.5676866907989155,3.4307500444807983,3.726073053817971,3.762741277945236,3.6973021980190115,3.626257296194838,3.8315417035285746,3.998878645103976,4.163408108861432,4.241489013275696,4.333238544095125,4.331943198180178,4.2974186669425585,4.498887923945105,4.439650944841076,4.330150561953398,3.8970658918961822,3.7853271902147254,3.6399244357654053,3.832938522190952,3.6765543743671354,3.7892014693382614,3.861194831419422,3.837136827485927,3.9111558095095447,3.7058686815543345,4.026695139165107,3.988954800038847,4.0141844426863775,4.190922559198486,4.415317064439325,4.420001253734725,4.387135889325808,4.732440914157276,4.553883121038558,4.6782370009901895,4.530843407365537,4.320771256367519,4.542112875401283,4.427822135389696,3.902340797720449,4.075276959833821,4.382353302076555,4.957049963607356,4.295032343851614,4.263704178266154,4.9018218679988,4.771335643092068,4.410828012727792,4.376564114949518,4.200915092062793,4.18723519096155,4.177782100126724,4.219583346221743,4.215340546611859,4.1510375521644125,3.994489733952295,3.8236113063693753,3.8437093810111382,3.8668936142414774,3.978141298356051,3.861303895311586,3.769842155414388,3.929018008020885,3.959354248351957,3.9964147654660973,3.9866220438159896,4.025157061647538,4.134201516211845,4.043504426738743,4.204572826914621,3.709523197303839,3.6522626653162984,3.736257479125635,3.7473063778497697,4.111211140189125,3.9421510696593596,4.049887926888438,3.9072051302990753,3.9464429570472084,3.9134289228478316,3.9094761267191767,3.9012078938838957,3.8572002006990083,3.9311148107001324,3.938071780218956,3.7765119182203706,3.6397779097492746,3.458668106319315,3.4764884363328368,3.1056229187601625,3.2616738821841675,2.8379283267814444,2.7431300756933044,2.4412149040366495,2.307308921714041,2.076126191370207,1.786561613532632,2.140786224962367,2.066597019298101,2.2506723645172313,2.5216545560843584,2.400640986973346,3.0234233038795955,2.8151834684342387,3.330002994835248,3.300977114004217,3.824641792459629,3.692405292219434,3.6433818573770975,3.63252449737135,3.3645230569614433,3.070413687377788,2.9332356712875685,2.1448942476056128,2.088127132931825,1.869337007184709,1.7286457360143181,2.0625170809541737,1.7036551546509577,1.928248055559902,2.200027221635039,2.404695440178504,2.177209506972763,1.994054895370012,1.501318258207084,1.6075916716534835,1.5298730997103291,2.267198859840244,2.457567031735884,3.2569045724407837,4.213443970108357,3.4355596120359326,3.818546048277466,3.542000829822847,3.142799622550983,3.061969118191094,2.7958770907288084,2.89634986591919,2.704923035657995,3.112889679576164,3.076784877121856,3.2660384575681363,3.384826987307065,3.2276623870839147,3.233370370478563,2.9477300940633735,3.173983966112739,2.7914191369678893,2.7377813184690907,3.289608992486954,3.0563919152957255,3.486682811127439,3.263142108479231,2.948268980460007,2.833018537901041,3.074876295999095,2.569147254370181,2.3144438904312077,2.232312637977147,2.346270965667722,2.850270456029279,2.9811195465516658,3.174445238668991,3.114002156804016,3.315148403372599,3.3879306987064526,3.4610317541262594,3.255825961606491,3.2048046428210033,2.714363313542353,2.8577907183951012,2.9753547122124573,3.031570669678455,3.588915776350024,3.8562693561369668,3.944117526845304,4.234097842810546,3.7986170985178864,3.6275041913869144,3.46547936304076,3.029776259870284,2.6748623786063943,2.457704512113767,2.255335854228056,1.859723221487655,1.7773376582454705,1.4885020804519,1.5112364204673059,1.4330088910959917,1.5404109576810625,1.511376245459403,1.3958329486039145,1.4643128774342864,1.6951633153634622,1.7023329904656535,1.6508999691716952,1.807512166130859,2.1109479219862286,2.0906832707548295,2.1114707146612184,2.357539917824245,2.5019486057746474,2.430116359595014,2.2827857109028353,2.2016921621538166,2.0444739004371923,1.8059811179600342,1.7777971496332183,1.5511487835715858,2.0470156193656845,1.6070497033275994,1.8439997624300137,1.6057888155700684,1.4967371111857648,1.6110912206658254,1.6870320379100279,1.5385595971573307,1.5687214873722088,1.6384191469805234,1.7856442098412237,1.6644620628777462,1.6654546082878618,2.1260750095816388,2.056042845356453,1.8422411241844796,2.0585089324007217,1.5113786558590518,1.7212886152930862,1.7322650012442327,1.6147254656088312,1.9356494328739946,1.916333703559018,2.1217488309581087,1.834792817712994,1.7481386139636947,1.9947269422728666,1.9541305179911401,1.7606193694416898,1.9949331195629334,2.23351118076005,2.0521235828843896,1.9194901299285936,2.1747248617392683,2.4270409565700977,2.087687654371455,1.9734868871528028,1.7875270872937346,1.6687440935359035,1.6071149451061888,1.4930087915331776,1.5507359306040287,1.5682132577941201,1.4027555332261787,1.449535664746466,1.5373026273985058,1.4270952632349647,1.4571542016898904,1.6166232100560614,1.6035406889248527,1.5735184296279265,1.7187346638164172,1.930253658319287,1.8687027915975623,1.820509730876159,2.14901339982429,2.331803889822987,2.1379154169716026,2.290242925105468,2.05845499763217,2.248504528145842,2.4641275695687015,2.037870693411035,1.993078087001357,1.724094751258134,1.480650494247153,1.4654479169656958,1.3678585666369658,1.5103728765190068,1.948218801654325,1.8884891780846245,1.986844001519478,2.5508052845888214,2.254947651120681,2.3683777190591164,2.6542332116337977,2.6985476226188094,2.6928676818924964,2.6125086578941876,2.9372929132778935,3.823585211017739,4.40388185855597,4.82105421518385],[4.0844168249938155,3.7853569588514735,3.274986787988035,3.5049071105985155,2.8346742264050597,3.8620716811566096,3.8980924663631655,4.031004968066133,4.790996809722043,4.884927449470777,5.235506096272451,4.893116175140591,4.4485649037355435,5.182521873766261,4.941033472443774,4.47955232068515,4.203710788631664,4.0805112553967335,3.888879839866702,3.8587901181763797,4.054139498892048,4.348670066988444,4.447274381367047,4.729973145319297,4.7417839817833825,4.189605918638383,3.977499892771384,3.528142252680593,3.7011155313288477,3.791731430734142,4.323903285627926,4.0472847110904935,4.237603141719355,4.075838990854292,3.886098655680355,3.835636336895929,3.6376583589472355,3.787072736320777,3.8514796028649427,4.2457925825019736,4.563975250075182,4.368301944799566,4.598504124252564,5.0072622438126215,5.686297977205683,5.917614112296869,6.053359578950706,5.547034685779265,5.483253904393114,5.992183781663016,5.67615753912653,5.288888662457248,5.123635260967646,5.098996711741233,5.305975821002807,4.8913643950750165,4.955701170188977,5.156456450130882,4.922618459559485,4.904738540385962,4.54429528227878,4.173313508823112,4.04047530732192,4.187638782219062,4.229295664327265,4.060425741912423,4.048443970099047,3.979505902151642,4.149637564576571,4.65001860764068,4.859977233698987,5.11623734585385,4.671495231167072,4.162202903839074,4.235757948930779,4.1176670687707775,3.886207017017134,3.9323404784339027,3.8657901784075093,3.999529586535416,3.8862381733820994,4.162972510249403,3.7379456743313666,3.8334251156768344,3.954498921582013,3.6850297300724697,3.9135255168925545,3.717149512632572,3.8447968536556134,3.8763943634588687,4.035574713604738,4.220618817834146,4.438356215080616,4.534158952218803,4.6826287893405505,5.048311327482602,5.235166706273704,4.656046365419467,4.590072990441581,4.4023764786600115,3.9981023461714273,3.637086775838457,3.4626103089501425,3.134356327457308,3.0051048651209435,2.796989402073922,2.774606606384987,2.6853108656252327,2.401064252251276,2.6328677240506693,2.675717671220641,2.690769055509133,3.2541631918438005,2.9094947425183566,3.7818060065531154,3.3250274657076573,3.495905788575437,2.9734696537136145,3.692159363142475,4.129304985698332,4.768870903898133,4.960945480707639,4.427529344616735,4.074000965105272,3.9913014298680256,2.7427474488084935,2.8679914706371936,2.3698014190052175,2.2912707770061083,2.5575091978485234,2.5157912987350675,2.8088090806431465,3.2175971196224107,3.094794302366584,3.0123632517077747,2.561368890284822,2.2310459985815347,2.161162160025783,1.8696467171466076,2.4646655064592204,2.992401643346919,4.246569303197628,4.030889172858146,3.129773532653941,3.735883470167312,3.3011639008339926,3.040410429183633,3.2876412024796187,3.1463698038634265,3.6697687395291885,3.460727259177252,4.196643421523242,4.0337976907880675,4.497898014762394,4.478469249458658,4.1371235611975665,4.0660197161279035,3.574935470977645,3.601558109288042,3.0696865407174747,2.8674025388366995,3.2204099719743895,3.154950696771891,3.756054031043464,4.2453664081006055,4.283007806799929,4.208729684338542,4.734434331083571,4.034253964724557,3.5896674574310277,3.359505373209258,3.1098855558239635,3.4994168766100513,3.3447863871696097,3.304081660108717,3.2047481926567634,3.335169723807033,3.411834415535205,3.535660293451556,3.480099441420947,3.6660855637478966,3.0562668360124805,3.5998678956271664,3.9809561268689175,4.021989396196064,4.517621003562458,4.512708186061529,5.017865104704259,5.628929884109618,5.313134196526234,5.236239541145802,4.961646422061864,4.51094525279759,4.039138705710697,3.7601847679785445,3.52751253894808,2.956846117224464,2.8123475913896954,2.4160679152680284,2.302830357948619,2.287836235941988,2.318828684934276,2.273116020367645,2.192693175451932,2.290772307688917,2.5321251795959347,2.4405497696627405,2.438116067411944,2.692970235389106,3.0096082510691837,2.9176887962142817,2.990928902073871,3.35640505019794,3.4282951946965743,3.270464793611319,2.998697880521389,2.9596951090157027,2.6181788243079884,2.501735158377197,2.5390012638256514,2.3655675639046323,2.743828717886624,2.4746181894460193,2.6710828796458834,2.5724741000479243,2.4715147849835906,2.5061333518533386,2.659421651850378,2.5187414640471535,2.477698850102351,2.6491518095385653,2.8692579017803097,2.716510572429397,2.719259423459304,3.24422657615563,3.195636690671366,2.8698596621897865,3.1426962310647313,2.478993168966163,2.633511067154566,2.6470417381477147,2.4377100171679107,2.6509748967030498,2.6453435228359896,2.7526579737458365,2.5505933337479165,2.518234731261228,2.7207613441069345,2.659481022775148,2.562699976154284,2.843089753926807,3.1128612865248866,2.9711175897151803,2.852671678305166,3.1581054644925155,3.477842831344507,3.0607114063426226,2.925999270667803,2.6880749784423514,2.555958252264445,2.4609348349208324,2.407724056037764,2.3934957091842066,2.381262473693494,2.2922194637404187,2.289704129056403,2.318607616399948,2.2441925592175096,2.359295716927093,2.3852847458653277,2.323064066889354,2.4458550784808524,2.625145139658488,2.6539028419508073,2.54038455321988,2.384392594433859,2.6348601993439957,2.664522506258695,2.5568089011745663,2.7450048514084195,2.6331474710301115,2.9406825460829134,2.939441129133326,2.5203958088428227,2.4496313310679017,2.282099270218786,2.1863779810544486,2.152017377838806,2.133871498284927,2.1662096884018207,2.64924662792214,2.619950444505549,2.7782825678635583,3.417499757787618,3.159977312648261,3.3107793182120187,3.767517830704084,3.845896899768173,3.7549364060010753,3.7078217380162055,4.072835644940507,4.595994041283876,5.210642831068504,5.529068522714021]]}]}