[0.0076744775,0.013508973,0.028370082,0.051681716,0.08088509,0.11183027,0.14112633,0.16734947,0.19069855,0.21118931,0.22800137,0.24014807,0.24733764,0.25021884,0.24954885,0.24611078,0.24105902,0.23627932,0.23339553,0.23156965,0.22712891,0.21589737,0.19868296,0.18302697,0.18019171,0.19617088,0.22714102,0.26093212,0.2859942,0.29748997,0.2980468,0.29267755,0.28470868,0.2751206,0.2648602,0.25586727,0.25015232,0.24748133,0.24565412,0.24218345,0.23637585,0.2286322,0.21899931,0.20697178,0.19273295,0.17830902,0.16584504,0.15653081,0.14991485,0.14619316,0.1462274,0.15082075,0.15865105,0.1667222,0.17230439,0.17420799,0.17258854,0.16760133,0.15986134,0.15103626,0.14383987,0.14013076,0.13959385,0.14015718,0.13995518,0.13846509,0.13647686,0.13464244,0.13314371,0.13141447,0.1294623,0.12785159,0.12786208,0.13002694,0.1337807,0.13763593,0.14056247,0.14260848,0.14454125,0.14667608,0.1486124,0.14946182,0.14889856,0.14710768,0.14485604,0.14279449,0.14120007,0.13973038,0.13757183,0.13420714,0.12976818,0.12519811,0.12139511,0.11862954,0.11636153,0.11384272,0.11081314,0.10746429,0.1040469,0.100433916,0.09660827,0.092979334,0.090361655,0.089278616,0.08974582,0.09201654,0.09738488,0.108452685,0.12720698,0.15286137,0.18039018,0.2026604,0.21417928,0.21453713,0.20816684,0.20160155,0.19973783,0.20428364,0.21405602,0.22677822,0.23987286,0.25064406,0.2564715,0.2563323,0.252308,0.24877925,0.24988453,0.25647306,0.26660836,0.27692604,0.2855599,0.29192975,0.29670015,0.29989138,0.30103746,0.2991554,0.29340813,0.2822808,0.2630273,0.23321484,0.19406484,0.15342592,0.12341497,0.11517566,0.13159098,0.16574287,0.20365155,0.23292036,0.24832648,0.25283527,0.25251797,0.2522461,0.25367072,0.25593328,0.2564121,0.25326195,0.24683304,0.24058576,0.23744066,0.23821296,0.24054216,0.24201907,0.24135542,0.23912866,0.23661275,0.23467366,0.23385149,0.23420344,0.23608398,0.23908651,0.24221773,0.24396372,0.24355401,0.241606,0.23977445,0.24050115,0.24550384,0.25510895,0.26673165,0.27586257,0.27806368,0.27172878,0.2590135,0.24356842,0.22825675,0.21374203,0.20004201,0.18748488,0.1769274,0.17035557,0.17077146,0.18170531,0.20261078,0.2279992,0.24907076,0.26054385,0.26237598,0.25840673,0.25134805,0.24086492,0.22432299,0.2007897,0.17495628,0.15710433,0.15649094,0.17400219,0.20033889,0.2238969,0.23756422,0.24177371,0.239169,0.23209016,0.21972798,0.20191891,0.18083142,0.16494054,0.16335027,0.1802953,0.20867603,0.23683321,0.2557108,0.2647539,0.26746544,0.26698682,0.26385638,0.25699803,0.24588983,0.23108852,0.21575995,0.2032912,0.19588153,0.19202994,0.1888894,0.18397571,0.17721695,0.17009401,0.16504604,0.16376609,0.1664753,0.17146026,0.17746587,0.18431103,0.19243246,0.19967234,0.20230639,0.19768287,0.18722217,0.17454006,0.16272523,0.15279754,0.14489065,0.13884506,0.13428605,0.1304596,0.12711908,0.12478533,0.1240718,0.12465986,0.12533756,0.12512489,0.123843014,0.12190622,0.11937722,0.11609984,0.111956626,0.107509814,0.10358717,0.10101438,0.10001463,0.10027424,0.101104856,0.10208871,0.10332152,0.105377026,0.1085609,0.11250638,0.1160999,0.118365295,0.119081356,0.118968375,0.11883026,0.11904806,0.11933505,0.11939975,0.11902975,0.11847636,0.11792322,0.117479436,0.11661043,0.11476057,0.11186742,0.108901,0.10723874,0.10763636,0.10978625,0.11248667,0.1145072,0.115464754,0.11701006,0.12333113,0.13946564,0.16765599,0.20433718,0.24127333,0.2703282,0.28736135,0.2924953,0.28704038,0.27235243,0.2510657,0.22954245,0.21689695,0.21968599,0.23726042,0.260663,0.27969626,0.28873768,0.28986564,0.2874895,0.28358817,0.27644405,0.264118,0.24880618,0.23608524,0.2328059,0.24172342,0.26051298,0.28160906,0.29796946,0.30634394,0.3082395,0.30501795,0.29559317,0.27867007,0.25725254,0.23967583,0.23396307,0.24300672,0.2619814,0.2826643,0.29714105,0.30186972,0.29766503,0.2887291,0.27959865,0.27297243,0.2685167,0.26510993,0.2620231,0.26057732,0.2608942,0.26227546,0.26240602,0.26078507,0.25772437,0.25363234,0.24722387,0.23710425,0.22446688,0.21423084,0.21262449,0.22220378,0.23919469,0.25549695,0.2646658,0.266013,0.2642609,0.26496658,0.27067807,0.28002128,0.2900248,0.29871926,0.30663222,0.3153413,0.32482848,0.33123627,0.32907367,0.31701735,0.3008584,0.28968903,0.28608254,0.28386667,0.2747017,0.25913647,0.2469979,0.24796002,0.26196456,0.27981254,0.29188228,0.29480943,0.29096285,0.28408724,0.27636823,0.26893386,0.26275882,0.25866342,0.25681493,0.25637433,0.25611666,0.25395867,0.24701954,0.23217471,0.20862107,0.17973864,0.15214862,0.1328965,0.12806623,0.14337975,0.18348855,0.24582843,0.31633878,0.37266183,0.39786616,0.3908355,0.3651471,0.33922204,0.3257787,0.33044925,0.34959555,0.3750707,0.39510188,0.40355906,0.40003106,0.3904899,0.38026282,0.3724278,0.36692694,0.3619275,0.35507765,0.3442208,0.330053,0.31667134,0.31047055,0.31525707,0.32860252,0.34205922,0.34631288,0.3365747,0.31458423,0.28571808,0.25585833,0.23002337,0.21391396,0.2131834,0.22913802,0.25518578,0.27870393,0.2908281,0.29115283,0.2866837,0.28252232,0.27885672,0.27190024,0.25978968,0.24556898,0.23714648,0.24218027,0.2624307,0.29069176,0.3160855,0.33013022,0.33115152,0.3205866,0.30030194,0.2720951,0.24115737,0.2166733,0.2080676,0.2189533,0.24445367,0.27337244,0.29525486,0.30520764,0.30593023,0.30313256,0.30114126,0.30002165,0.29779372,0.29531848,0.29770944,0.31230667,0.34072515,0.37723958,0.4102389,0.43043745,0.43301305,0.41766512,0.38574147,0.34128484,0.29297933,0.25321385,0.2335568,0.2370388,0.2568577,0.2790822,0.2935104,0.29733178,0.2958099,0.29379305,0.29358444,0.29442215,0.29625794,0.29966715,0.30421546,0.30803996,0.30811557,0.30299982,0.2922438,0.2773334,0.26026064,0.2442859,0.2320015,0.22492273,0.22321083,0.22835575,0.2424726,0.26609263,0.2937151,0.31679347,0.32812977,0.3276423,0.3195878,0.3093549,0.29958284,0.29126808,0.28530297,0.2835141,0.28976002,0.3063651,0.33295277,0.36234203,0.38734615,0.40255865,0.40910128,0.40827957,0.40287402,0.39468694,0.38686505,0.3784827,0.36630288,0.3473102,0.3248713,0.3060772,0.2960477,0.2940588,0.29494214,0.29388008,0.28750756,0.27607378,0.26325238,0.25748253,0.26691732,0.29520503,0.3370905,0.3822914,0.4197558,0.44387212,0.45448986,0.4554619,0.4495019,0.4355881,0.40991446,0.37146366,0.32688317,0.28886846,0.26802492,0.26577058,0.2742406,0.28355405,0.2874104,0.28502357,0.27775654,0.26817676,0.25930247,0.25608858,0.2630844,0.28226838,0.31030962,0.33975032,0.36121276,0.36696336,0.35358587,0.32439637,0.28877485,0.25861204,0.24273568,0.24452032,0.26252785,0.2924337,0.32690406,0.356676,0.37389576,0.3773707,0.3721579,0.3662393,0.36357173,0.36340818,0.3602763,0.35019302,0.33303723,0.31452343,0.30071604,0.29413202,0.29215598,0.2911366,0.2899543,0.28984392,0.2918528,0.2949287,0.29769656,0.30019757,0.30390123,0.30958554,0.31613153,0.3215281,0.32381105,0.32147726,0.31304756,0.29870522,0.28137624,0.26684332,0.26060805,0.26562598,0.28106013,0.30316344,0.32612216,0.34325385,0.3492376,0.34224343,0.325466,0.3054277,0.28909358,0.28016162,0.278617,0.28242287,0.29071957,0.3038769,0.32167515,0.34107652,0.35734728,0.36607942,0.36448824,0.3511331,0.32677224,0.29594654,0.26646596,0.24571632,0.23648138,0.23688072,0.24256806,0.24997024,0.25654247,0.26174507,0.2659367,0.27025238,0.27469608,0.27854696,0.28086114,0.28164697,0.28176624,0.28229058,0.28401598,0.28703335,0.29078448,0.2942189,0.2963198,0.29693833,0.29680356,0.2968539,0.29691544,0.2957542,0.29331505,0.29175076,0.29465434,0.302299,0.31083718,0.31421897,0.30967358,0.29922578,0.28737938,0.2777427,0.27116528,0.26781347,0.26786137,0.27203116,0.2791014,0.2865814,0.29153192,0.29321563,0.29169396,0.28677213,0.27672848,0.26081124,0.24197485,0.22774416,0.22746502,0.24531166,0.27691236,0.31031168,0.33496645,0.34667215,0.3483435,0.34430018,0.3379413,0.3309945,0.32479537,0.31913373,0.312894,0.30481356,0.29529017,0.28514746,0.27478337,0.2639414,0.25340137,0.24509825,0.24098547,0.24096711,0.24362098,0.24780333,0.25470743,0.2656215,0.27945304,0.29145703,0.29753485,0.29750228,0.29534173,0.2946668,0.29650962,0.29973733,0.30359927,0.3078495,0.31220356,0.3151708,0.31484142,0.30897918,0.29683396,0.2786877,0.2566706,0.23239921,0.20777275,0.1840132,0.16361369,0.14918734,0.14369202,0.14810885,0.16078283,0.1769955,0.1914366,0.20062743,0.20363967,0.2017951,0.19692129,0.19159745,0.18739595,0.1860808,0.18917133,0.19843662,0.21320331,0.22942221,0.24137734,0.24521953,0.24046497,0.229082,0.21394813,0.19882385,0.18764119,0.1841054,0.18998583,0.2041976,0.22217824,0.2377081,0.24691467,0.25030756,0.25162858,0.2530513,0.25397995,0.2522395,0.24781096,0.24303621,0.24122263,0.24389333,0.24994557,0.25670397,0.26162264,0.26363584,0.2620011,0.2558417,0.24372564,0.22690658,0.21121009,0.20853703,0.23062544,0.28158668,0.35004386,0.4149743,0.45675918,0.47010413,0.46298274,0.4491016,0.43853125,0.4342964,0.43399653,0.4326028,0.4269638,0.41785717,0.4098355,0.40636382,0.40625548,0.40348414,0.39440796,0.37965074,0.3653461,0.35535213,0.35309684,0.35816458,0.36970052,0.3831557,0.3946137,0.40098092,0.40208152,0.39838615,0.3913394,0.38170543,0.36908293,0.35159194,0.32894194,0.3050618,0.2868025,0.2795538,0.28279695,0.29141095,0.29904518,0.30235234,0.3010615,0.29704595,0.2921605,0.28716,0.28163007,0.27576646,0.2721617,0.27518538,0.2868909,0.30425826,0.31988093,0.3280642,0.3279829,0.32380286,0.31869337,0.31288782,0.3037596,0.29098144,0.27716112,0.26695406,0.2626457,0.2635238,0.26690903,0.27133706,0.27714503,0.28506276,0.2938976,0.3005233,0.30224276,0.29966584,0.29644623,0.29628167,0.299201,0.30181357,0.30054173,0.29529467,0.2898527,0.28932902,0.2970278,0.3127152,0.33311525,0.35379234,0.37071538,0.38099375,0.38298258,0.37737688,0.36759755,0.3590468,0.35556114,0.35801515,0.36373773,0.37073228,0.37789235,0.38622496,0.39463377,0.4012899,0.4036539,0.40231666,0.39942098,0.39773795,0.39787343,0.3994739,0.40107226,0.40119413,0.39759448,0.38957322,0.3791978,0.37069622,0.3665519,0.36489606,0.36212185,0.35711387,0.35304558,0.3537482,0.36024436,0.3702403,0.38119212,0.3917267,0.40101233,0.40668747,0.4065638,0.4012607,0.39612564,0.39697766,0.4058323,0.41807616,0.42676675,0.42647743,0.4170382,0.4014015,0.38362405,0.36582395,0.3488702,0.33334744,0.32060835,0.31202495,0.307327,0.304855,0.30189618,0.29721552,0.29122946,0.28675973,0.2867038,0.29173276,0.29862404,0.3020699,0.29945958,0.29274788,0.2868382,0.28370762,0.2815965,0.27700046,0.27014652,0.26420093,0.2623708,0.26366624,0.2648809,0.26379526,0.26216865,0.26322475,0.26941645,0.2798241,0.2918135,0.30252063,0.31160346,0.3220465,0.33734787,0.35832426,0.37964013,0.3942428,0.39685735,0.38891473,0.37540528,0.36306486,0.3551182,0.35240886,0.35224208,0.35360646,0.3551468,0.35731015,0.35762945,0.35473385,0.34757698,0.33918235,0.33286396,0.3315479,0.33499232,0.34178993,0.35076928,0.3627713,0.3788966,0.3978827,0.41471663,0.42371318,0.42255047,0.41415432,0.40401435,0.39671943,0.39418435,0.39571854,0.39961132,0.403533,0.40597537,0.40503672,0.3997071,0.3899988,0.37954283,0.3734164,0.3750836,0.38222876,0.38884482,0.38976288,0.38585508,0.38267413,0.38679644,0.39984107,0.4177816,0.43231034,0.43713582,0.431381,0.4206476,0.41223463,0.41086912,0.41606942,0.42340496,0.4274554,0.42427012,0.41296503,0.39471808,0.3723544,0.3490459,0.32800794,0.31105205,0.2982334,0.28831854,0.28043702,0.27468556,0.2723894,0.27489197,0.2829909,0.29522815,0.30881873,0.32122448,0.33322373,0.34760877,0.36613965,0.38597748,0.40171018,0.40937534,0.40982747,0.4067764,0.40309045,0.39854345,0.3913386,0.38081947,0.36791816,0.3548789,0.34373966,0.33752108,0.33775938,0.34445313,0.35374483,0.36178526,0.365641,0.36558875,0.36288705,0.35892293,0.35445964,0.35027328,0.34807798,0.34918663,0.35359833,0.35913196,0.3645353,0.3696612,0.37517205,0.37824142,0.37573245,0.36678615,0.3575225,0.35489428,0.36210728,0.37407553,0.38361797,0.38635287,0.38468504,0.38354865,0.38607982,0.39096045,0.39478588,0.39629412,0.3970947,0.40030476,0.40646163,0.41428104,0.42124057,0.42653632,0.429757,0.43125692,0.43053675,0.4274937,0.42119494,0.41108942,0.39685765,0.38065013,0.3656151,0.3542324,0.3455608,0.33793402,0.33156836,0.33041564,0.33712974,0.3505814,0.3651017,0.376364,0.38322988,0.38784525,0.39170548,0.39505348,0.39764455,0.4001293,0.40322706,0.40621313,0.40723982,0.40482247,0.39964107,0.39356098,0.38902816,0.38773605,0.39094886,0.39878097,0.41032085,0.4247152,0.44125912,0.45949498,0.47654572,0.4884092,0.49155712,0.48614907,0.47566226,0.46384087,0.4537474,0.44651973,0.44351804,0.44409394,0.44631365,0.44689405,0.44407177,0.43772697,0.42831075,0.41568634,0.40066612,0.38671282,0.37901363,0.38027444,0.38819006,0.39743102,0.40387478,0.40670922,0.40706447,0.40600097,0.40435004,0.4026451,0.4018402,0.40209198,0.40353954,0.40624177,0.4119487,0.4241743,0.44639134,0.47810233,0.5124436,0.5392175,0.5520727,0.5525685,0.54805094,0.54393655,0.541152,0.5380712,0.5352004,0.533958,0.5330463,0.5281568,0.51629514,0.49969125,0.48311928,0.46884903,0.45572054,0.4415985,0.4272703,0.4144523,0.40568122,0.40266347,0.40783334,0.4221445,0.44318756,0.4649714,0.48063424,0.4874886,0.4875619,0.4865556,0.4882183,0.4931631,0.49814606,0.5002064,0.49809948,0.49313974,0.48715642,0.48137757,0.47679615,0.47445938,0.4750943,0.4776429,0.47984764,0.47973034,0.47715628,0.4735224,0.4710485,0.47090626,0.47201332,0.4707618,0.4648981,0.45627663,0.45077804,0.4520689,0.4589145,0.46551052,0.46723774,0.46199644,0.45121443,0.43737635,0.42428002,0.4144474,0.4094478,0.40855387,0.41095972,0.41517648,0.41970205,0.42265472,0.42300633,0.42182136,0.42196572,0.42587796,0.4336249,0.44179496,0.4475471,0.44945264,0.4495101,0.44863495,0.44704613,0.44389293,0.44010922,0.43858337,0.44257894,0.45429623,0.4725025,0.49317178,0.51082546,0.52197665,0.52696997,0.52833325,0.52838343,0.52677155,0.52333385,0.5201633,0.5222115,0.532045,0.5463853,0.55813766,0.56256604,0.5602073,0.55326647,0.54134727,0.5226783,0.4985547,0.47636852,0.4671426,0.48050407,0.519425,0.57521695,0.63107103,0.66918254,0.6834913,0.6786085,0.6658592,0.65328413,0.64574033,0.643358,0.6441719,0.64433116,0.6416121,0.6339664,0.6202884,0.5988989,0.5728999,0.5468933,0.5271062,0.51374346,0.50562984,0.4987713,0.49308836,0.48793995,0.48471686,0.48235908,0.4811934,0.48103705,0.48277283,0.48516122,0.48600104,0.48325077,0.4777132,0.47177875,0.46712032,0.46301392,0.45778915,0.4510008,0.44368824,0.4369744,0.43065628,0.42378017,0.41533718,0.40510562,0.39322245,0.38033867,0.36679173,0.35294053,0.33977672,0.32963625,0.32502759,0.32662785,0.33281034,0.34145868,0.35102782,0.36044574,0.36740813,0.36968789,0.36667982,0.3611897,0.35759762,0.35899624,0.36526123,0.37324354,0.37994328,0.3837819,0.3857052,0.38604474,0.38435337,0.37899032,0.37011036,0.3595582,0.34991875,0.34229103,0.33560407,0.32806826,0.3187797,0.3093977,0.30305147,0.30284616,0.31026837,0.32632384,0.35172835,0.3854542,0.42089677,0.4473163,0.45540476,0.44457507,0.42264953,0.40036508,0.38510618,0.37873164,0.3806815,0.39147758,0.41698515,0.46311143,0.52934843,0.5999622,0.6547225,0.6794067,0.67864776,0.6635488,0.6458602,0.6291396,0.6169763,0.61060554,0.6099741,0.61153835,0.6118421,0.6084623,0.5999408,0.5858038,0.5685658,0.5509438,0.5347028,0.51585275,0.49244678,0.46494484,0.44327155,0.4352682,0.4448801,0.463758,0.4821819,0.49260163,0.4953258,0.491969,0.48382768,0.47143134,0.45719504,0.44426855,0.43499514,0.43031335,0.431069,0.43749866,0.44798374,0.45833433,0.464213,0.46408033,0.45941493,0.45273694,0.44474837,0.4364736,0.43050703,0.43199205,0.4434221,0.46239364,0.48180506,0.49462414,0.49673244,0.48733005,0.4680303,0.44192383,0.41359678,0.38874546,0.37345126,0.37162974,0.38196948,0.39744607,0.408802,0.41037586,0.4026529,0.39110306,0.38151738,0.37769556,0.38027117,0.3890545,0.40275833,0.42042366,0.44016373,0.4611304,0.48176274,0.49992788,0.51118976,0.51166683,0.49925217,0.47554877,0.4451779,0.41608372,0.3977128,0.39614555,0.4097441,0.4285805,0.44173422,0.44298056,0.43416703,0.4207584,0.40855777,0.39881608,0.39025977,0.38282403,0.38529226,0.41198197,0.47141042,0.5517461,0.62537813,0.6663119,0.6707956,0.65375495,0.6361773,0.62687784,0.623527,0.61741185,0.60426474,0.58711463,0.57250124,0.5634097,0.5557397,0.5442561,0.5300564,0.5192146,0.5162584,0.51688355,0.51321656,0.500175,0.48171404,0.46650782,0.46254626,0.47017607,0.48358354,0.49418855,0.49811408,0.49643382,0.49417102,0.49452558,0.49811897,0.5011497,0.4992931,0.4894446,0.47358593,0.45657972,0.44286954,0.4337038,0.42690322,0.4207407,0.41401407,0.40894663,0.4076836,0.4127657,0.42202163,0.43135357,0.43547347,0.43326995,0.4262279,0.41752934,0.40880725,0.40104473,0.39510897,0.39278737,0.39508137,0.40092114,0.4071025,0.41034976,0.4091667,0.4036977,0.3953012,0.38573352,0.3769494,0.3700544,0.3650559,0.361459,0.35916427,0.35835814,0.35905954,0.36021438,0.3606904,0.35905603,0.3552774,0.34934327,0.34252474,0.33569276,0.33060813,0.32821488,0.32999477,0.33726537,0.35215446,0.37464747,0.40155885,0.42516768,0.43834355,0.43796882,0.42884132,0.4186013,0.41266838,0.40936577,0.4057441,0.40514708,0.42080334,0.4650263,0.53601784,0.6128495,0.6686449,0.68781286,0.6740106,0.64474887,0.617233,0.602469,0.5991209,0.60105205,0.59892255,0.5906122,0.578468,0.5675111,0.5586627,0.5498805,0.5399775,0.5305486,0.5232427,0.5173188,0.509694,0.50000495,0.49030754,0.48516735,0.48679197,0.49512067,0.5061872,0.51394075,0.5124536,0.500269,0.4824978,0.4674007,0.46042392,0.46012416,0.4612131,0.4596628,0.45602238,0.45351413,0.45490208,0.459954,0.46566525,0.46714166,0.4603975,0.44426516,0.42239714,0.4021369,0.39095423,0.39218268,0.4025369,0.41538236,0.42482388,0.4298483,0.43348244,0.44026443,0.45250925,0.46778142,0.4804022,0.48469985,0.480095,0.4701886,0.4605105,0.4531729,0.4476004,0.4422076,0.43805334,0.436602,0.4366652,0.4328365,0.42142415,0.40588757,0.39774656,0.407581,0.43755367,0.47852325,0.5171308,0.54264694,0.5521675,0.5485605,0.5376161,0.5224752,0.50349474,0.47856,0.44971922,0.42329153,0.40817097,0.4071914,0.41607738,0.42674837,0.43456498,0.43903098,0.44035244,0.43656388,0.42645586,0.41564897,0.41782653,0.4478942,0.5070935,0.57830286,0.63328314,0.6561789,0.6506208,0.63553166,0.6242004,0.6201021,0.61731356,0.61067516,0.59848857,0.5845465,0.57462144,0.57075363,0.5695319,0.5650471,0.5560425,0.54473644,0.53408,0.522726,0.50862736,0.4913591,0.47442392,0.46244892,0.45772848,0.4596571,0.46455523,0.46938208,0.4708811,0.46758342,0.45831177,0.44456163,0.42997432,0.41979858,0.41841397,0.42610192,0.43995297,0.45479307,0.4683776,0.47989932,0.48967502,0.4954326,0.49480048,0.4867111,0.47330162,0.4585317,0.44665185,0.44102076,0.44261286,0.44940946,0.45652565,0.45931828,0.45626816,0.44954595,0.44213453,0.43441734,0.4254763,0.41563532,0.4096639,0.41222778,0.4251254,0.44392264,0.46278223,0.4769849,0.4854612,0.48914877,0.48906586,0.48564875,0.47857976,0.46994397,0.46487698,0.4700973,0.48766622,0.51186705,0.53256536,0.54268503,0.542931,0.53780603,0.52964705,0.51572806,0.4935714,0.46653292,0.44398955,0.43446958,0.43878916,0.44950986,0.4571741,0.45666775,0.44991234,0.4419321,0.43684173,0.43506446,0.4359119,0.44147834,0.45805117,0.49308905,0.5454418,0.603383,0.64639527,0.662832,0.65282226,0.6312999,0.6109312,0.6002924,0.59725386,0.5964489,0.5920735,0.58373374,0.57592994,0.5714381,0.5686378,0.5627897,0.55337256,0.5426257,0.5324449,0.5202625,0.5048725,0.48873976,0.47944948,0.48066178,0.48980093,0.49748603,0.49680796,0.48721075,0.4740095,0.46224117,0.45284843,0.44438568,0.4355717,0.42698693,0.41969204,0.4147676,0.4132025,0.41567054,0.42155895,0.42877364,0.43479764,0.43702972,0.43299425,0.42018047,0.40065792,0.38182828,0.37548682,0.38743195,0.41453826,0.44547305,0.47169003,0.49055624,0.50463367,0.51471776,0.5187774,0.51355964,0.49796584,0.47449002,0.44870403,0.42790544,0.41691506,0.4160141,0.42070594,0.42626643,0.42982316,0.43061972,0.42779174,0.42067686,0.41063341,0.40193704,0.40009,0.4077827,0.423138,0.44032916,0.45316157,0.45719647,0.45124862,0.43745384,0.42092285,0.40745366,0.4006333,0.40087578,0.40696058,0.41745207,0.43042985,0.44273505,0.4515681,0.45633075,0.45858887,0.4600222,0.4610035,0.46225706,0.46608195,0.47754684,0.50066996,0.5359053,0.57478887,0.60571384,0.61865884,0.6164751,0.6077838,0.60323125,0.6046877,0.6110024,0.61748177,0.6205717,0.6175453,0.6100042,0.6009473,0.590573,0.57413787,0.549217,0.5189346,0.49110064,0.46949777,0.45445165,0.44473144,0.44292268,0.45141503,0.47015297,0.49218106,0.5087194,0.5124152,0.50361633,0.48723495,0.4700756,0.45539784,0.4446952,0.4377432,0.43548402,0.43765196,0.44471097,0.45514643,0.4675854,0.47865066,0.4863633,0.4884698,0.48359057,0.46983972,0.4478159,0.42191127,0.39965454,0.38799512,0.3889989,0.3988603,0.41005364,0.41660073,0.41729084,0.41545713,0.41562107,0.4199371,0.42748117,0.43398026,0.43613514,0.43249834,0.42689744,0.42282298,0.42273065,0.42422044,0.42515162,0.42424047,0.4230313,0.42284417,0.42402765,0.42556024,0.42667904,0.4281851,0.4319603,0.43892083,0.44682777,0.45191136,0.45187196,0.44814566,0.44330525,0.43818894,0.43115446,0.42080876,0.40891922,0.39942348,0.39613402,0.39831415,0.402122,0.40260467,0.39932027,0.39498615,0.39326087,0.3935505,0.39314976,0.39088807,0.39328966,0.411657,0.455626,0.52150315,0.5936628,0.6506887,0.6817081,0.6864434,0.675528,0.657065,0.63806385,0.6180825,0.5973661,0.57571715,0.55854446,0.5496307,0.5478715,0.5456819,0.5368896,0.5232465,0.5113237,0.5061827,0.5051517,0.50340027,0.49792397,0.49156043,0.487475,0.48668787,0.48679638,0.486648,0.48659506,0.4874322,0.4869926,0.48295844,0.47496128,0.466018,0.4587814,0.45398232,0.4497552,0.44311655,0.43094447,0.41227683,0.39056662,0.37263504,0.36459938,0.36665204,0.37340906,0.37815085,0.3786235,0.3776954,0.37919545,0.38351604,0.38702592,0.3861773,0.38034406,0.37213024,0.36504507,0.36101416,0.35973892,0.35849681,0.3555176,0.35104537,0.34812415,0.34856787,0.3518175,0.35520133,0.35749075,0.3595917,0.3638002,0.37075615,0.3791668,0.3859701,0.38929912,0.3893967,0.38852832,0.3888609,0.39035973,0.391929,0.39180866,0.39022473,0.3878378,0.3865863,0.38697267,0.38850084,0.38896242,0.38708627,0.38327613,0.37920913,0.37579572,0.3725319,0.36883125,0.36540473,0.36357418,0.36377764,0.36490837,0.36810458,0.38011578,0.41116688,0.46593988,0.53377134,0.59499794,0.631455,0.6412043,0.63032275,0.6100433,0.5868947,0.567851,0.55450445,0.54466677,0.5342104,0.5230274,0.51332456,0.503031,0.48536602,0.45708433,0.42398164,0.39650163,0.37960014,0.37063625,0.36611438,0.36592722,0.3723335,0.38305184,0.39320037,0.39774802,0.39660308,0.3907235,0.38139215,0.36781368,0.3506819,0.33011505,0.30666843,0.2791519,0.24849011,0.21682476,0.18838026,0.16569024,0.15021841,0.1415183,0.13857692,0.13904953,0.1399106,0.1381708,0.132919,0.12536936,0.11850358,0.113547705,0.11034226,0.10667548,0.102354735,0.0977892,0.09485331,0.093140185,0.09160319,0.088094175,0.082691066,0.07646024,0.071346246,0.067721106,0.065267496,0.06344604,0.062213555,0.061412055,0.060365338,0.058604006,0.056297105,0.05449313,0.054090768,0.055377275,0.057639495,0.05974279,0.0605446,0.059538234,0.05684194,0.053469192,0.051518917,0.05463965,0.06722472,0.09241823,0.13008347,0.17621578,0.2239734,0.2653298,0.29342785,0.3058179,0.30559167,0.29961213,0.2933719,0.28888384,0.285068,0.28118518,0.27787402,0.2771684,0.2801666,0.28627798,0.29306206,0.29867375,0.30241722,0.30500165,0.30677179,0.30786833,0.30812278,0.30748594,0.3061602,0.30458942,0.30400744,0.30515146,0.30782366,0.30984142,0.3092167,0.3055339,0.3009409,0.2975559,0.29583582,0.29456508,0.29364523,0.29510698,0.30163553,0.3132874,0.32671428,0.3376089,0.3439795,0.34676003,0.34679392,0.3427019,0.3312516,0.31107438,0.28429797,0.2555821,0.22865683,0.20430362,0.1812113,0.15793456,0.13491315,0.113610506,0.09603461,0.08293492,0.074271314,0.068674125,0.064791285,0.06141409,0.058276247,0.055380937,0.052879483,0.050723027,0.04901581,0.04787596,0.04750995,0.047875255,0.048887517,0.050207183,0.051570397,0.05265677,0.05343989,0.053888988,0.053902928,0.05333537,0.05305192,0.05620329,0.06771379,0.09104296,0.12408739,0.15910523,0.18775988,0.2073494,0.22179149,0.237006,0.2554698,0.2749432,0.29096392,0.2998861,0.30080605,0.2955178,0.28778222,0.28101134,0.27723652,0.2763746,0.277652,0.2799547,0.28275862,0.28558254,0.28820178,0.29021955,0.29117823,0.29046094,0.28709006,0.2818382,0.27981186,0.29352203,0.335543,0.4089377,0.49737096,0.57619286,0.6253938,0.64337707,0.63832617,0.6228818,0.60478765,0.5888466,0.5732077,0.5548217,0.533935,0.5167372,0.50693893,0.4993606,0.48415968,0.45875344,0.43105403,0.41143993,0.40240172,0.3980724,0.39253983,0.38531348,0.38155916,0.38359657,0.389142,0.39184484,0.3893639,0.38393703,0.37988663,0.37851906,0.37757623,0.37500384,0.36996853,0.36377478,0.35622397,0.34697476,0.33422783,0.31752136,0.29622272,0.27141753,0.2441508,0.21658938,0.19033068,0.16807334,0.15252188,0.14582871,0.14648296,0.14972089,0.15016843,0.14656723,0.14343996,0.14993392,0.1734526,0.21489267,0.2645018,0.30844823,0.33445987,0.3408608,0.33326992,0.32161227,0.31055343,0.2998446,0.28562787,0.2681469,0.2514124,0.24197827,0.24346323,0.2573447,0.2812825,0.3103787,0.33568275,0.34991097,0.3502438,0.34107304,0.32817838,0.31615165,0.3063654,0.30034748,0.2995536,0.30481848,0.31420627,0.32521132,0.33632925,0.34775105,0.35739517,0.3606063,0.35363737,0.3397499,0.3272463,0.3219519,0.32131818,0.3191632,0.31286165,0.30607447,0.30302724,0.3050532,0.3103967,0.317512,0.3252962,0.33279583,0.3386786,0.34194016,0.34278467,0.34307185,0.3459116,0.35346806,0.36447632,0.37449822,0.3776952,0.37054,0.3519818,0.32508376,0.2949767,0.26781318,0.24694608,0.233642,0.2284926,0.23352392,0.24882841,0.2709607,0.29247966,0.30838773,0.318379,0.32672247,0.33649603,0.34620902,0.35200727,0.3509268,0.3453728,0.33885607,0.33437136,0.3310126,0.32839373,0.3276976,0.33180347,0.34148204,0.35411978,0.36586252,0.37479886,0.38341245,0.39596736,0.41594315,0.44163194,0.46811533,0.48902616,0.50166434,0.5061692,0.5045311,0.49785104,0.48732528,0.47559246,0.465826,0.4594121,0.45367074,0.44526765,0.43227038,0.41547465,0.39416194,0.36767355,0.3379008,0.31302455,0.3016477,0.30656528,0.32161888,0.3376447,0.3484861,0.35365844,0.35514107,0.35429,0.35043553,0.3434789,0.3348298,0.3274263,0.32298076,0.32302544,0.32990885,0.3471782,0.37534305,0.408918,0.4380089,0.4542732,0.4558082,0.44715106,0.43557057,0.42736575,0.4258821,0.43139103,0.4411714,0.45064887,0.45538452,0.45303035,0.44383666,0.4290471,0.41021362,0.38903248,0.36809984,0.34968308,0.33419636,0.3201058,0.30571982,0.2931776,0.28782484,0.29555655,0.31572297,0.3418108,0.3651277,0.38195467,0.39350796,0.4029763,0.41248068,0.42238176,0.43288445,0.44302583,0.45198286,0.45771587,0.46002352,0.45950237,0.4588623,0.45955256,0.4613811,0.46257854,0.46174356,0.4596875,0.45731303,0.45576382,0.45486048,0.45586345,0.4592943,0.46399698,0.46623743,0.46341524,0.456861,0.44957426,0.44317743,0.43681717,0.4311538,0.42848596,0.43037498,0.43487045,0.43947372,0.44413432,0.4505796,0.45677468,0.45779493,0.45032153,0.4397279,0.4345806,0.4400345,0.4516594,0.46194193,0.46590868,0.46472725,0.4614968,0.45881185,0.45710742,0.4557542,0.45361114,0.45012656,0.44713476,0.44719842,0.45180812,0.45859298,0.4645915,0.46935079,0.4755474,0.48524106,0.49681768,0.506587,0.5118399,0.51186323,0.5069668,0.4977015,0.48584953,0.47427905,0.46587047,0.46233127,0.46372214,0.46895197,0.47487962,0.47773194,0.47278395,0.4582515,0.4354327,0.4131812,0.4052846,0.42621216,0.4793787,0.55136275,0.61757857,0.6570953,0.66577095,0.65328383,0.6344556,0.61897904,0.61288905,0.61706954,0.6290675,0.6407361,0.6456333,0.6417744,0.6344249,0.6287748,0.62722784,0.6277594,0.6279432,0.626796,0.62400824,0.61959857,0.61268425,0.60401195,0.5946674,0.5865016,0.57977265,0.573277,0.5651118,0.5540497,0.54127103,0.5285158,0.51762193,0.5089151,0.50326866,0.50222087,0.5077433,0.5199522,0.53576595,0.5503457,0.5595577,0.5626757,0.5602786,0.55359626,0.5432089,0.5327135,0.527375,0.5318768,0.5450154,0.5596782,0.56721276,0.5627237,0.5479567,0.52802163,0.5083022,0.49124876,0.47765172,0.46680212,0.45845714,0.4518971,0.44710854,0.44316682,0.43991813,0.4373487,0.4366581,0.4382994,0.44134226,0.44376588,0.44368848,0.44088712,0.4364783,0.43286845,0.43251094,0.43685505,0.44582543,0.4582535,0.4731324,0.48998716,0.50824946,0.52670616,0.5434025,0.5567722,0.56642574,0.57246894,0.575433,0.57494766,0.57190603,0.56671137,0.56073403,0.55405265,0.54792094,0.54315907,0.5407347,0.54080373,0.54568595,0.55966145,0.5862083,0.6214117,0.65534425,0.67717105,0.68326765,0.67681915,0.6650877,0.65606713,0.65350217,0.6553443,0.65279657,0.6417811,0.62655073,0.6175191,0.61900586,0.62567073,0.62923044,0.6249919,0.61425304,0.59931463,0.58291954,0.5683253,0.5594924,0.55873495,0.56438774,0.57217455,0.5781439,0.58058614,0.57988137,0.57660645,0.5717237,0.5655241,0.5585487,0.5511572,0.54577094,0.5454746,0.5528011,0.5664494,0.5832593,0.59923345,0.61141735,0.6163118,0.61089593,0.5950683,0.57362586,0.5550935,0.5470663,0.5515917,0.56450325,0.5772043,0.58380526,0.5828457,0.5785699,0.57431626,0.57126313,0.56738514,0.56224614,0.5568526,0.55340666,0.5509896,0.5477979,0.54195476,0.5352028,0.52882975,0.52354115,0.51792806,0.51275134,0.50972134,0.51128554,0.517503,0.52715844,0.5378069,0.54766744,0.5557329,0.562514,0.5686187,0.57422066,0.5779467,0.5781463,0.57342666,0.5645806,0.554501,0.54758555,0.54688495,0.5525493,0.5618847,0.57157165,0.57915765,0.583543,0.58401203,0.58019304,0.5719023,0.5607123,0.55127096,0.55256087,0.5745163,0.6193657,0.67428946,0.7152431,0.72300535,0.697396,0.6545853,0.6140442,0.5857506,0.5714641,0.56719536,0.5684667,0.57006913,0.56985164,0.5674383,0.5646184,0.5622527,0.56126,0.5614974,0.5612863,0.5578781,0.54866415,0.5356662,0.5239356,0.52004594,0.5255633,0.5373505,0.54898363,0.5564684,0.55805683,0.55489296,0.54662603,0.5349259,0.5217054,0.512335,0.50894696,0.5089749,0.5046139,0.4898021,0.46689704,0.44535956,0.4368043,0.44646367,0.4713606,0.5012675,0.5249202,0.53649193,0.538654,0.53771853,0.53706264,0.53347164,0.5236744,0.5083379,0.49338832,0.4833211,0.47851422,0.47566518,0.47121644,0.46363893,0.45304212,0.44139802,0.4308164,0.42344514,0.41952124,0.4184831,0.41889775,0.4199055,0.42055193,0.4201945,0.41827312,0.4149711,0.41132116,0.4095557,0.4120257,0.42009124,0.43255997,0.44691804,0.46049547,0.47213686,0.48109016,0.48695135,0.4900817,0.49332878,0.50075406,0.51412994,0.5298491,0.54086334,0.5424308,0.5362836,0.5290696,0.52578837,0.52546257,0.52246386,0.5134038,0.5024685,0.5007565,0.51956004,0.56143695,0.6169428,0.6687522,0.7018962,0.7099447,0.69602555,0.6690356,0.6415963,0.6240302,0.6189714,0.6187837,0.6137674,0.60156894,0.5880587,0.5813195,0.5840231,0.59439564,0.60748476,0.6176905,0.62049884,0.6133725,0.59902334,0.5816366,0.56800157,0.56163335,0.56447047,0.57338554,0.5832426,0.58793217,0.58405614,0.57308954,0.5597994,0.5491479,0.54185075,0.53643113,0.53216004,0.53201944,0.53835654,0.5498597,0.5606513,0.5661955,0.5663562,0.5644641,0.56332964,0.56331265,0.5652166,0.5705896,0.58019024,0.59062415,0.5962756,0.5942449,0.58658725,0.57809544,0.57195115,0.56845176,0.5665644,0.5648799,0.56267875,0.5591548,0.5546127,0.54922867,0.5435943,0.53771996,0.53258985,0.52961427,0.5292242,0.52872443,0.522538,0.5077836,0.48768032,0.47238836,0.47016978,0.48248932,0.50108,0.5166519,0.5237494,0.524643,0.52326274,0.52205205,0.5193189,0.51284766,0.5024565,0.49245694,0.48910955,0.49681583,0.51363367,0.53279716,0.5468399,0.55296063,0.5537021,0.55380696,0.55669695,0.561503,0.56761545,0.5763495,0.59445745,0.623012,0.65535283,0.6752827,0.6749156,0.6563735,0.6321432,0.6109747,0.5989961,0.5978832,0.60570526,0.6158275,0.62013507,0.6167023,0.60701305,0.59522486,0.5822439,0.57011324,0.55961704,0.55161256,0.5441897,0.53499407,0.5229438,0.5105535,0.50324327,0.5053208,0.5162916,0.5300166,0.538949,0.53861254,0.5296746,0.5162105,0.50272614,0.49267885,0.48829794,0.4903394,0.49743748,0.5060186,0.5136833,0.520509,0.5290145,0.5396045,0.550112,0.55667216,0.5564406,0.54881006,0.53616047,0.52451473,0.52000123,0.5247105,0.53430426,0.5426641,0.54686147,0.5485539,0.5491216,0.5466389,0.5371551,0.52088004,0.504444,0.49733233,0.5050517,0.5252507,0.5504757,0.57204866,0.584766,0.5864032,0.5785831,0.5640493,0.5477645,0.53431225,0.5284187,0.53179187,0.54317355,0.5569652,0.5663871,0.56607646,0.5571513,0.54513407,0.53735954,0.53440654,0.5319552,0.5237679,0.51105183,0.50044495,0.4987236,0.5055844,0.5152914,0.5226564,0.5267772,0.5296416,0.53270423,0.53609234,0.5404398,0.5469975,0.557832,0.5741891,0.59869605,0.63051254,0.665602,0.6916508,0.7012164,0.6903514,0.6683927,0.6419835,0.6208183,0.6045963,0.5935902,0.5827411,0.5728256,0.5652346,0.56272554,0.5632846,0.56395525,0.56182766,0.55625457,0.54579,0.5299898,0.5097814,0.49088106,0.4806408,0.48475942,0.5009586,0.5208233,0.53467447,0.5390234,0.5357817,0.52950555,0.52248734,0.5161699,0.5105384,0.50707006,0.5066888,0.51070887,0.5175822,0.52436846,0.52818274,0.5292836,0.53009707,0.53183836,0.53239226,0.5282671,0.518634,0.5090871,0.5077975,0.52113837,0.54557306,0.57202446,0.58980584,0.59588957,0.59209824,0.5829277,0.5709336,0.5584022,0.5481386,0.542923,0.5430467,0.5455439,0.54618126,0.54297805,0.5369517,0.5309003,0.5265801,0.5245461,0.5243637,0.52487403,0.5241676,0.5208595,0.51643085,0.5149298,0.51992446,0.53077143,0.54262084,0.5494594,0.54867,0.54215056,0.5351968,0.53156096,0.53189164,0.53394675,0.5363841,0.5392496,0.54274184,0.545737,0.5466419,0.54512537,0.5422661,0.5393935,0.5376044,0.53730327,0.53986233,0.5477186,0.56532127,0.5945039,0.6308825,0.66293335,0.6803166,0.6822192,0.67701405,0.6743076,0.67675257,0.68243915,0.6876939,0.6898574,0.6855269,0.6731401,0.6545866,0.6342733,0.61531335,0.5982693,0.58270544,0.5681293,0.55379134,0.53834456,0.5219991,0.50675774,0.49610803,0.49286827,0.49806508,0.5103671,0.5252914,0.5368871,0.5402244,0.53489476,0.52498746,0.5155638,0.50955915,0.5073101,0.50837183,0.51241535,0.517706,0.52308124,0.5273909,0.5319373,0.5362563,0.5405633,0.54375654,0.54650646,0.54741955,0.54669493,0.544089,0.542463,0.5413949,0.54058284,0.5371704,0.5317004,0.5239878,0.51584196,0.5081435,0.50332767,0.5020778,0.5042837,0.5083193,0.5131676,0.5176073,0.52043205,0.521108,0.5207579,0.52139884,0.5238204,0.5267069,0.5281522,0.52694446,0.5234876,0.5187277,0.5141925,0.51082283,0.50846076,0.5059304,0.50254804,0.4996102,0.4990569,0.50102985,0.50265104,0.49970135,0.49058118,0.47770667,0.4670937,0.46359983,0.46817982,0.47678813,0.48426953,0.48729566,0.4861232,0.48216426,0.4775369,0.47441062,0.47838226,0.49614868,0.53264457,0.5829169,0.63462657,0.67249626,0.68942404,0.6852494,0.6675555,0.6453224,0.628668,0.62069863,0.6163497,0.60595345,0.5852942,0.5599448,0.539274,0.5310469,0.53544337,0.5491205,0.5624723,0.56875545,0.562797,0.5490336,0.53242356,0.5192104,0.51099426,0.50856274,0.51121736,0.517358,0.5248648,0.53057307,0.5323474,0.5294425,0.5242832,0.5205236,0.52068734,0.5240349,0.5266885,0.5235582,0.5106744,0.48834398,0.46211562,0.44117656,0.4328502,0.4380816,0.45177174,0.46759716,0.48484683,0.5052282,0.52951884,0.54973173,0.55758476,0.54815036,0.5269367,0.5024671,0.48212922,0.46865383,0.461053,0.45817617,0.45830795,0.46174768,0.46759102,0.47495914,0.4806441,0.48239958,0.47938013,0.47369277,0.46758136,0.46219933,0.4570727,0.45288208,0.45165405,0.457664,0.47332522,0.49897313,0.52922755,0.5568736,0.57452613,0.58000994,0.5758659,0.56773406,0.5601414,0.55481154,0.55138,0.54999804,0.55135703,0.55561423,0.5605881,0.56407595,0.56454664,0.56214094,0.55635524,0.54842824,0.5411214,0.5405283,0.551584,0.57727146,0.6140761,0.6533732,0.68339705,0.6969567,0.69496703,0.68456084,0.67382884,0.6675186,0.6664445,0.66706115,0.6630681,0.6504025,0.62977225,0.60715157,0.5859547,0.56678075,0.54675126,0.52621025,0.50627464,0.48897454,0.4733045,0.45886084,0.44610462,0.43796694,0.43559596,0.43759242,0.44009832,0.44105121,0.44027627,0.43889245,0.43632782,0.4322957,0.4264747,0.41910198,0.40824494,0.3917171,0.36884832,0.34176108,0.31308764,0.28470442,0.2587516,0.23892264,0.22824763,0.22624128,0.22856273,0.23180865,0.23628534,0.24397637,0.25310865,0.25672522,0.2484407,0.22828369,0.20447111,0.18704356,0.18244593,0.18894935,0.20034839,0.2092493,0.2140494,0.21612358,0.21838023,0.21876915,0.21467261,0.20474465,0.19317119,0.18489486,0.18217753,0.18220031,0.18074714,0.17703767,0.17508306,0.1800217,0.19207025,0.20466495,0.2091918,0.20155609,0.18650512,0.17299719,0.16890234,0.17554636,0.1918925,0.21803518,0.257707,0.31202993,0.3754379,0.43557927,0.4802908,0.5027423,0.5033347,0.48724946,0.4608462,0.4292208,0.39673483,0.37076068,0.36100224,0.3740003,0.4056168,0.4432983,0.47423053,0.4937524,0.5036402,0.5076432,0.5081997,0.5087087,0.5132641,0.5232568,0.534478,0.54162455,0.5438478,0.546123,0.5509941,0.5561986,0.5557039,0.5470454,0.5301717,0.5058195,0.47544327,0.44439006,0.42309782,0.41915795,0.43215632,0.45108676,0.46436512,0.46527898,0.4565785,0.44356716,0.43059853,0.4163324,0.3974611,0.37117207,0.33911037,0.30607435,0.27757728,0.25678152,0.24329434,0.2341456,0.22567715,0.21612875,0.20693396,0.20278996,0.2103049,0.23713644,0.28820136,0.36186895,0.44513607,0.5184367,0.56457263,0.57944274,0.57209545,0.5557522,0.53773874,0.51619,0.48799905,0.4563526,0.43188262,0.4245484,0.43489966,0.45547247,0.47523376,0.4878349,0.48811162,0.47311842,0.43923917,0.3901596,0.3375727,0.30205572,0.30066502,0.33890495,0.403908,0.4745568,0.53035015,0.5620387,0.5691648,0.5588508,0.53931004,0.51930004,0.50219697,0.4893533,0.47824147,0.47080728,0.47040227,0.48298725,0.5094114,0.5424865,0.5684859,0.57298213,0.55205363,0.51275665,0.47110736,0.44327232,0.44266638,0.47503138,0.53463316,0.6030688,0.6588653,0.68840355,0.6915774,0.6756138,0.6503756,0.62447333,0.60443574,0.59007573,0.5771416,0.5609579,0.54286903,0.5247769,0.50872016,0.4938804,0.4828112,0.4761083,0.47315466,0.4678541,0.45646814,0.43851575,0.41870168,0.40211496,0.388585,0.37523568,0.35693356,0.33694568,0.3193406,0.30989388,0.30689654,0.30803108,0.31043032,0.3112353,0.3076726,0.29639506,0.28122735,0.2674801,0.26140693,0.26072744,0.26082835,0.25692493,0.2503998,0.24328023,0.2372453,0.23130836,0.22699243,0.22534527,0.22676454,0.22796549,0.22784944,0.22703727,0.22792844,0.22949605,0.22930081,0.22496457,0.21679755,0.20708919,0.19883646,0.19477469,0.19535224,0.19858213,0.20112218,0.20117992,0.2000733,0.20003478,0.20141399,0.20081986,0.1950971,0.18516435,0.17739429,0.17742199,0.18471205,0.19248815,0.19638325,0.20059139,0.21497732,0.24333222,0.2777126,0.30401048,0.3150703,0.31454995,0.31196335,0.3130522,0.3179289,0.32292297,0.32437298,0.31989363,0.3099344,0.298413,0.29154637,0.29447687,0.30831507,0.33133712,0.36125195,0.3977137,0.4388654,0.47950125,0.50962245,0.5206217,0.50911987,0.47918245,0.43577096,0.3829269,0.32445183,0.27290764,0.24562038,0.2553668,0.29434606,0.3379468,0.35862902,0.34731662,0.31629702,0.2889847,0.2794366,0.28581634,0.29609695,0.30270386,0.30691466,0.3145262,0.327708,0.34319195,0.35518017,0.358825,0.35117075,0.33161676,0.3027664,0.2709268,0.2439524,0.227947,0.22533254,0.23446281,0.2507556,0.26834536,0.28399464,0.29908192,0.31817386,0.34302488,0.36991045,0.39077297,0.40039745,0.3986677,0.3918903,0.38652802,0.3875656,0.39487424,0.40627167,0.4180564,0.42770365,0.43335155,0.4344269,0.43149403,0.42623052,0.42018822,0.41379437,0.40640926,0.3976271,0.3877971,0.37798253,0.36922577,0.36289474,0.36000547,0.35985294,0.35798442,0.34773144,0.3252971,0.2952589,0.26877376,0.25606406,0.25807616,0.26800647,0.27695593,0.28096047,0.28016993,0.27725425,0.27408016,0.27166805,0.26959294,0.26738134,0.26512185,0.2640073,0.26477692,0.26679388,0.26820493,0.2678746,0.26640025,0.26559484,0.2669579,0.27154383,0.2804725,0.29543576,0.3162649,0.33895206,0.35456392,0.35442433,0.33641794,0.31041253,0.29302275,0.29718387,0.32159635,0.3533385,0.37783334,0.3896567,0.39232805,0.3925788,0.39425263,0.39783362,0.4025161,0.40778175,0.41363442,0.419758,0.42553458,0.4299424,0.43247584,0.4330953,0.4326179,0.43171668,0.43111685,0.43087962,0.43120113,0.4320675,0.43373272,0.4360894,0.43841764,0.4394046,0.4378405,0.43372688,0.428349,0.42334685,0.41956988,0.41655824,0.4137411,0.41114345,0.409976,0.41129634,0.41491434,0.41868708,0.41970563,0.41639778,0.409955,0.40347078,0.39960825,0.39867887,0.39939293,0.40061685,0.40272546,0.406438,0.41135654,0.41545057,0.41691175,0.41588223,0.41495875,0.41715837,0.42361164,0.43219241,0.43826428,0.43792394,0.42977536,0.4171815,0.40510896,0.40119562,0.41159582,0.44091907,0.48484543,0.5314937,0.5646713,0.5752559,0.56407166,0.54078835,0.515562,0.4966879,0.48679134,0.4851742,0.48732498,0.4902784,0.4928712,0.49541986,0.4964163,0.4932011,0.48446193,0.47064602,0.45238283,0.4292992,0.40390432,0.38480115,0.38730583,0.4235914,0.49344125,0.5776567,0.64984703,0.69181347,0.70466584,0.70173836,0.6952748,0.6907806,0.68854374,0.6880788,0.68660504,0.679431,0.66398937,0.6410348,0.61648846,0.59379166,0.57678396,0.5643167,0.55571157,0.5466914,0.5353948,0.52153236,0.50935405,0.50352913,0.5066982,0.5160017,0.52526045,0.5292454,0.5284274,0.5278399,0.5318143,0.539381,0.5461736,0.54959637,0.55223775,0.55703163,0.56368333,0.56756115,0.56748533,0.56620204,0.56762344,0.56971246,0.56618625,0.5527541,0.53087753,0.5085442,0.49517396,0.4983944,0.5180575,0.5446573,0.56467074,0.5678691,0.55509776,0.5338673,0.51385945,0.49863407,0.4864234,0.47355306,0.45969188,0.44876602,0.44433284,0.44723263,0.45427653,0.46198377,0.4667679,0.46762788,0.46543393,0.46396196,0.46602246,0.4722129,0.48006144,0.48744473,0.49346378,0.49821773,0.50060695,0.49958313,0.49535117,0.49101773,0.4895557,0.49277905,0.5002623,0.51192683,0.5276565,0.54584736,0.56263375,0.57292515,0.5751557,0.57027483,0.5623779,0.5535429,0.54650646,0.54204124,0.54206234,0.5470622,0.56006694,0.58433586,0.6220052,0.66757184,0.71001285,0.7379281,0.7463669,0.73741776,0.7177573,0.6972001,0.68291664,0.67551357,0.66728765,0.65347534,0.63765717,0.6293816,0.6320458,0.64131254,0.65041655,0.6547591,0.6504292,0.6326916,0.60169315,0.56510377,0.53547364,0.52047753,0.5193641,0.52542496,0.53318137,0.54107505,0.55011386,0.56007725,0.56905127,0.5741287,0.5740835,0.56951016,0.5642626,0.5621064,0.5656991,0.57359356,0.58383954,0.59337926,0.59974414,0.5995634,0.5925445,0.5812435,0.5705702,0.5640717,0.5651731,0.5757272,0.59451324,0.61409545,0.6258368,0.6253912,0.61573005,0.60116816,0.5838046,0.5625592,0.5388434,0.5166759,0.50223106,0.49815297,0.50291884,0.5110678,0.5170047,0.51745933,0.5116538,0.50129867,0.48921248,0.48005736,0.47792473,0.4852456,0.5000961,0.51822704,0.5348949,0.54846835,0.55932266,0.56905514,0.5777495,0.584943,0.5879273,0.5834492,0.56829786,0.5455396,0.5239854,0.51522756,0.523318,0.5431497,0.56199956,0.56991464,0.56313515,0.54711646,0.5291219,0.51456076,0.5035386,0.4973773,0.50355816,0.5330574,0.5895528,0.65962493,0.7213869,0.7574153,0.7660615,0.75226474,0.72347546,0.68625784,0.6520789,0.62998194,0.6231738,0.6270385,0.6350482,0.6404305,0.6370354,0.6248494,0.6089022,0.5970349,0.5889022,0.58093494,0.5694856,0.55697984,0.54717827,0.5427087,0.54491645,0.5540869,0.56940705,0.5867575,0.60000306,0.60450864,0.59991854,0.59095883,0.58309144,0.5810934,0.5868291,0.59952825,0.61319345,0.6190822,0.61139005,0.5941789,0.5782201,0.5732009,0.57895666,0.5885641,0.59385324,0.5939118,0.5948135,0.60435504,0.62316084,0.64056164,0.6440324,0.6286361,0.60288674,0.57662547,0.5550285,0.53558475,0.51789266,0.5034022,0.4953257,0.49308887,0.49536708,0.49939385,0.50329643,0.5043034,0.5017403,0.4967791,0.4928323,0.492016,0.49439117,0.4982141,0.50290364,0.50938755,0.51883775,0.5299768,0.539612,0.5453728,0.54784304,0.5495126,0.55128807,0.5519504,0.549887,0.54620755,0.5441656,0.54665416,0.5530688,0.55964327,0.56247455,0.5616409,0.56031746,0.56095034,0.56123644,0.5571363,0.54828185,0.54124206,0.5468466,0.5730538,0.6196606,0.6760621,0.7274997,0.7621503,0.774698,0.76530737,0.7368236,0.6994862,0.6652128,0.64441985,0.6346708,0.6305346,0.62709475,0.6269265,0.6305504,0.6368485,0.6412905,0.64256746,0.6387413,0.63125414,0.62036437,0.60965925,0.600579,0.5953548,0.5947163,0.5984867,0.6048612,0.6095403,0.60926825,0.6022752,0.59078354,0.57912636,0.57200027,0.57258075,0.58112365,0.5946181,0.60761684,0.61396915,0.61334026,0.6089487,0.6074872,0.60767484,0.60521024,0.5930471,0.5743211,0.5583427,0.5577304,0.57535625,0.6031031,0.6250298,0.628909,0.6128335,0.58609915,0.56187254,0.54879236,0.54676723,0.54985523,0.5530028,0.55566174,0.56084186,0.57013315,0.5811822,0.58858943,0.58856606,0.5822657,0.5743782,0.5687527,0.5644625,0.55907255,0.55215263,0.5477956,0.54949665,0.55743027,0.5681151,0.57799643,0.58558434,0.5908254,0.59480613,0.59836537,0.6020392,0.6052325,0.6071172,0.6082268,0.6107051,0.6166957,0.6249201,0.6309483,0.63018686,0.62283087,0.6129398,0.605228,0.60050464,0.59748715,0.5955208,0.59781104,0.60934347,0.63287115,0.66467935,0.69543475,0.7154124,0.7186849,0.70624286,0.68322706,0.66074234,0.6465385,0.64561015,0.65241265,0.6627173,0.6702993,0.67375445,0.6695909,0.65871865,0.6433811,0.6267747,0.6079843,0.5847881,0.5587876,0.5371393,0.52781034,0.53271055,0.5467484,0.5621329,0.573057,0.57718414,0.5741861,0.56565833,0.5542677,0.54353887,0.5356479,0.5320987,0.5332846,0.5393932,0.54884285,0.56008416,0.57202584,0.58449847,0.5955525,0.6012289,0.59745485,0.5831489,0.56216174,0.54301625,0.53619534,0.5473041,0.5719962,0.5963347,0.60724,0.6000261,0.5813786,0.5597443,0.5404411,0.52239805,0.50544125,0.49192035,0.4874772,0.49426565,0.5100879,0.52788216,0.54211205,0.5495851,0.5516599,0.5502195,0.54731756,0.5430789,0.5372064,0.5305786,0.5269287,0.5319076,0.5483627,0.5722823,0.5938378,0.6033967,0.59841937,0.5830901,0.5639405,0.54395574,0.52373976,0.50527614,0.49417925,0.49524537,0.5071674,0.52259636,0.5344407,0.54086334,0.5441354,0.5461375,0.5465739,0.5455718,0.54550457,0.5512168,0.5673054,0.5975277,0.6408212,0.69125676,0.73642915,0.7652555,0.7690873,0.7496088,0.71403265,0.67736626,0.6483242,0.63043857,0.61953753,0.61563087,0.61809766,0.6233215,0.6228176,0.61292195,0.59753007,0.58189744,0.564575,0.5409775,0.51148057,0.48581743,0.47483158,0.4826081,0.50260484,0.5244964,0.5409991,0.55092645,0.55619276,0.55779845,0.55565304,0.54981947,0.5424362,0.5372723,0.5378706,0.54551953,0.5570144,0.56718117,0.5712192,0.56901973,0.5632034,0.5566817,0.5488356,0.5379584,0.5256519,0.51974255,0.528497,0.55295974,0.5833673,0.60733336,0.6179027,0.61734337,0.61005944,0.5981117,0.57967824,0.5547016,0.5268828,0.5037799,0.49215832,0.4947679,0.5080109,0.5243094,0.53592354,0.5400575,0.5381436,0.5343599,0.5301787,0.52561516,0.51885325,0.51114726,0.5054254,0.5064936,0.5163211,0.5325627,0.54810524,0.55477995,0.5491298,0.5344434,0.51859134,0.5077498,0.5041034,0.5080352,0.51947564,0.53754824,0.5571361,0.572759,0.58129,0.5852032,0.58722353,0.58920145,0.5904715,0.5923839,0.59566617,0.60217667,0.6121233,0.62783676,0.64897496,0.67329025,0.6952172,0.71264213,0.72482514,0.7315524,0.72913575,0.7154767,0.6919551,0.66429377,0.64064807,0.62734824,0.6254306,0.6265122,0.6206853,0.60484344,0.58607394,0.5715808,0.56134385,0.55011374,0.5371511,0.5276646,0.5272459,0.5346451,0.5430512,0.5459066,0.5407309,0.52978444,0.516622,0.50404465,0.4921547,0.4802843,0.4702983,0.46817443,0.48010412,0.5064284,0.53930336,0.56872296,0.58920795,0.6014765,0.60704833,0.60413677,0.5900712,0.5660282,0.53961664,0.52187437,0.5208709,0.5365126,0.5579125,0.57164145,0.5702457,0.5586116,0.546674,0.5416725,0.54316944,0.54667974,0.54714173,0.54226494,0.5325573,0.5211823,0.5112164,0.5044171,0.5008386,0.5000705,0.501402,0.50412154,0.5073278,0.510536,0.51243836,0.5127127,0.5122958,0.5153139,0.5242384,0.5384052,0.5522128,0.56104416,0.5628237,0.56002426,0.5553792,0.5511527,0.54726475,0.54395396,0.54217964,0.5438314,0.5493192,0.5567439,0.5632463,0.56732684,0.5692394,0.5695894,0.5673637,0.5615718,0.55357695,0.55056095,0.5624265,0.5958585,0.6460956,0.6985321,0.73636466,0.7511205,0.7438805,0.7229614,0.69908565,0.68177676,0.6731145,0.66572493,0.6494863,0.6223054,0.59348387,0.5753357,0.57330155,0.5817284,0.590547,0.5917193,0.5853915,0.5747744,0.56284857,0.5502024,0.5394392,0.5365928,0.54456466,0.56063557,0.5757714,0.5843976,0.5856138,0.58425695,0.5850921,0.5909288,0.60122466,0.6137875,0.62627363,0.6361696,0.64083743,0.6385439,0.63238716,0.6285367,0.6325633,0.6399889,0.6390324,0.6186387,0.58186716,0.5467198,0.53181165,0.5434472,0.5679059,0.58671767,0.58564335,0.56632286,0.53781307,0.5123786,0.49457482,0.48376414,0.4757444,0.47156218,0.4749318,0.4892865,0.5106929,0.53173345,0.54598683,0.55341405,0.55740124,0.56216013,0.56890255,0.5783946,0.59112614,0.6092034,0.63065976,0.64844227,0.6515858,0.63662195,0.6120352,0.59499353,0.5953396,0.6086756,0.6187497,0.61471415,0.5975354,0.58009624,0.57158655,0.572942,0.57496697,0.5719826,0.56544226,0.5650451,0.57420135,0.58631706,0.58671874,0.56997067,0.5447909,0.53201365,0.5475101,0.5941441,0.6568277,0.7141163,0.747937,0.7538497,0.7370418,0.7066736,0.67304397,0.6459208,0.63356704,0.63363415,0.63633007,0.62937754,0.60885733,0.5790799,0.54711086,0.51864314,0.49379346,0.47107995,0.44692257,0.42199314,0.39962015,0.386408,0.38612422,0.3986585,0.41945878,0.44342855,0.46582747,0.48325714,0.4924846,0.4927261,0.4842483,0.46868315,0.44663894,0.42111802,0.39672455,0.37752947,0.36268795,0.34765634,0.33009052,0.31226206,0.29911184,0.29254898,0.28959885,0.2857424,0.27864325,0.27240115,0.27230373,0.2808474,0.29119658,0.29386458,0.2833456,0.26503283,0.24958622,0.24397661,0.24642646,0.24852584,0.24532437,0.23711556,0.23015009,0.22687803,0.22658162,0.22467047,0.21964777,0.21231122,0.20508164,0.1993363,0.19500399,0.19200806,0.19038223,0.1916505,0.1971094,0.20646022,0.21599746,0.22050954,0.21737087,0.20887685,0.20088913,0.1989615,0.20645714,0.22594734,0.2597178,0.30808637,0.3639077,0.41413918,0.44556716,0.45561793,0.45116377,0.44214705,0.43080854,0.41325626,0.38649264,0.35682622,0.33810282,0.3421023,0.3696512,0.4096191,0.4473623,0.47273317,0.48377633,0.4843904,0.48104057,0.47998247,0.48374423,0.49145117,0.49862552,0.503221,0.5037427,0.5022608,0.49894997,0.49497354,0.48794207,0.47627735,0.45927712,0.4401703,0.42192188,0.40509653,0.38951972,0.37745932,0.37368473,0.37934408,0.39116374,0.40316716,0.4127226,0.41877428,0.41999435,0.41222334,0.3916359,0.3582027,0.31668732,0.2749215,0.23944092,0.21361029,0.19658808,0.18577467,0.17894381,0.17599761,0.17741686,0.1827559,0.19087422,0.20365047,0.22655459,0.26477277,0.3164197,0.37198365,0.42088854,0.45874378,0.48811364,0.5108085,0.52227783,0.51309246,0.479033,0.42883813,0.38304773,0.3626809,0.37715602,0.41771653,0.46419635,0.49514213,0.5007839,0.48286578,0.45067123,0.4107797,0.36698294,0.32432663,0.2949315,0.29236904,0.3214065,0.37105772,0.42328027,0.4648545,0.49438754,0.51432365,0.52449435,0.52045697,0.5011017,0.47058108,0.437199,0.40932658,0.3945234,0.39846918,0.4205362,0.4536158,0.48473832,0.50408393,0.5051468,0.48741433,0.45158926,0.40270564,0.34831706,0.29853797,0.26068082,0.23648052,0.22170965,0.20977549,0.19697063,0.1838284,0.17362382,0.16758864,0.16419466,0.16010831,0.1540127,0.14693742,0.14151807,0.13888572,0.13819465,0.13770519,0.1373436,0.13940115,0.14587764,0.15566848,0.16374099,0.16570401,0.16144194,0.155748,0.15341453,0.15569057,0.159651,0.16165054,0.159963,0.15603699,0.15253623,0.15104306,0.15048943,0.14841388,0.14377771,0.13806719,0.13435395,0.13369526,0.13440567,0.13328947,0.12965904,0.1257773,0.12454172,0.12580319,0.12679891,0.125366,0.12277815,0.12254417,0.12703477,0.13500714,0.14204673,0.14377451,0.13886623,0.13044839,0.123123966,0.11939553,0.11756673,0.1148023,0.11063936,0.10808438,0.109934635,0.115558624,0.120913625,0.1226977,0.12145606,0.12105302,0.1247106,0.13210575,0.14028771,0.14668243,0.15103698,0.15424006,0.15683575,0.15847005,0.1602624,0.16614789,0.18321805,0.21506052,0.25800422,0.29978046,0.33049074,0.3473892,0.35588634,0.35986316,0.35981667,0.35372946,0.34177887,0.32578585,0.30808106,0.29079434,0.2756592,0.26372066,0.25480434,0.25003377,0.2529379,0.26809704,0.2956842,0.3300865,0.3626602,0.38789916,0.40413156,0.41159263,0.40834907,0.3908882,0.35735634,0.3126553,0.27076092,0.2488447,0.25693497,0.2876821,0.32021102,0.33304718,0.32078996,0.29609227,0.27927697,0.28104818,0.29711056,0.31523588,0.32827458,0.33852908,0.35209486,0.37102118,0.3903915,0.40224257,0.39990976,0.38152185,0.35024926,0.31346795,0.2795405,0.25530896,0.24517705,0.25221002,0.27581713,0.30914298,0.3393527,0.35745457,0.36490396,0.37201592,0.38537768,0.401576,0.41117498,0.40931746,0.40052342,0.39403597,0.39712802,0.41043893,0.43013564,0.4499683,0.46519458,0.47283745,0.4728867,0.46665132,0.45689258,0.4463806,0.4378537,0.43267694,0.43079257,0.4307047,0.43049002,0.42923483,0.42737624,0.4264485,0.42662445,0.42533812,0.4169136,0.39637053,0.36466852,0.33112144,0.3080902,0.30171847,0.3072963,0.31495932,0.3183864,0.31864908,0.3194965,0.32218838,0.3243383,0.32322,0.31889942,0.31415474,0.31238747,0.3147553,0.31987014,0.32498667,0.32848528,0.33028877,0.33117554,0.33132842,0.330856,0.33034524,0.33196205,0.33841693,0.35189012,0.37008128,0.3842356,0.38105294,0.35355672,0.31077567,0.27673075,0.27291515,0.30134523,0.34283814,0.37451133,0.38641962,0.3848293,0.38079056,0.379151,0.37499943,0.35872543,0.3236704,0.27153677,0.2125141,0.15918191,0.11945034,0.09314143,0.07528425,0.061533704,0.050801903,0.043614417,0.039377604,0.03613018,0.03219354,0.027433544,0.022761056,0.018891038,0.015931955,0.013611457,0.011808236,0.010476827,0.009644583,0.009184056,0.008947336,0.008686637,0.008278002,0.007712797,0.007183029,0.006804446,0.0065409136,0.006206067,0.0057510235,0.005297989,0.005017372,0.0049035815,0.0048314813,0.0046926555,0.004480379,0.0041988506,0.0038147736,0.0032996843,0.0026949316,0.002104049,0.0016239354,0.0013097882,0.0011625598,0.0011419441,0.0011746165,0.0011839521,0.0011256277,0.0010032047,0.0008561239,0.0007235845,0.00062475755,0.0005558165,0.00050704344,0.00047434485,0.00046050118,0.00046582168,0.00048276526,0.0004989046,0.0005057385,0.00049854966,0.00047385856,0.00042738067,0.00036198855,0.0002897665,0.00022700556,0.00018346233,0.00015970555,0.00015134204]