[0.041691847,0.042265415,0.043241274,0.043501254,0.042424683,0.040123478,0.037876386,0.036923688,0.037726853,0.039837237,0.042558074,0.045761067,0.049059164,0.051688537,0.052065384,0.049541146,0.044452723,0.038512915,0.033155587,0.029262552,0.026638398,0.024849392,0.023521462,0.022636244,0.02216255,0.021965707,0.021809421,0.021629035,0.021522632,0.021625355,0.021911586,0.022100061,0.021820389,0.020886332,0.019562652,0.018589757,0.018635305,0.01988324,0.021785712,0.024037287,0.027323375,0.03321347,0.042227674,0.05204985,0.058290184,0.057697948,0.051030993,0.042195737,0.034893043,0.030151805,0.026870316,0.023787344,0.020613942,0.017795732,0.015982466,0.015655316,0.017252823,0.02124306,0.027828744,0.036051136,0.043400466,0.04711314,0.046316843,0.0427186,0.038977966,0.036591005,0.035666827,0.036224976,0.03908172,0.0449871,0.05311503,0.06082483,0.06513568,0.06492699,0.061431184,0.057226773,0.05400577,0.052018043,0.050243303,0.04808362,0.045403708,0.04286593,0.040515527,0.038226593,0.035244085,0.031606674,0.02787838,0.025415206,0.024971565,0.026473084,0.02917011,0.03274463,0.037380833,0.04303253,0.04880783,0.053353887,0.055821676,0.0562242,0.055401623,0.0546125,0.05507795,0.057139307,0.059993044,0.06213653,0.062480584,0.06067216,0.056949947,0.051940117,0.046574593,0.042241085,0.039663043,0.039160296,0.039963603,0.041683227,0.043624368,0.0456322,0.047260392,0.048053816,0.047627103,0.046048816,0.044675995,0.04461575,0.04615881,0.04761083,0.047708675,0.046464533,0.04559004,0.0462466,0.048103824,0.049569834,0.049281966,0.047140036,0.0441011,0.041438643,0.03972451,0.038796302,0.03799604,0.03692888,0.035547704,0.03428432,0.03362048,0.03384155,0.034519147,0.034736637,0.033780996,0.031940117,0.030247102,0.029587941,0.029748263,0.029958121,0.02939565,0.028411798,0.027594877,0.0279665,0.029466018,0.031901624,0.03415969,0.035698008,0.036173135,0.036196183,0.035942126,0.03500347,0.032615528,0.029278187,0.026933005,0.027392559,0.030406952,0.033476558,0.034081966,0.031691924,0.028167421,0.026020607,0.026547136,0.029249996,0.032474864,0.035024468,0.036895353,0.03957553,0.04467153,0.053003896,0.06361728,0.0744299,0.08248121,0.0853269,0.081728496,0.073211096,0.06303597,0.05503601,0.050985396,0.050923675,0.053330794,0.056707736,0.059393596,0.06037354,0.059590746,0.05833271,0.05844037,0.060664874,0.06437472,0.067894734,0.07070761,0.07350583,0.07788622,0.08446809,0.09272929,0.102007516,0.112545066,0.12587619,0.14287893,0.16285987,0.1834622,0.2020737,0.21729594,0.22772503,0.23268698,0.23093444,0.22378874,0.213926,0.20562331,0.20134012,0.20101292,0.20342867,0.20734777,0.21359147,0.22187679,0.23191266,0.24116771,0.24791346,0.25003627,0.24684937,0.23878145,0.22762436,0.21599561,0.20543605,0.1969534,0.19068587,0.18789093,0.18982197,0.19738089,0.2091109,0.22170876,0.2307837,0.23265009,0.22564453,0.21051002,0.19142264,0.17517197,0.17028207,0.18273325,0.21219385,0.25048897,0.28471467,0.30540037,0.31138864,0.3110657,0.31311563,0.3203542,0.3260573,0.32237205,0.30676052,0.2854649,0.2683067,0.26161814,0.26631758,0.27708277,0.28888187,0.29746392,0.30489492,0.31543815,0.33326933,0.35636115,0.3770528,0.38759694,0.384084,0.36910307,0.34694016,0.3230417,0.30107546,0.28495654,0.27733645,0.28019062,0.29305622,0.31274083,0.3337793,0.3497946,0.3564266,0.35186443,0.33783007,0.31743246,0.29427728,0.27127448,0.25087819,0.23547882,0.22665252,0.22489811,0.22976802,0.24024932,0.2545289,0.2677873,0.2736325,0.2665416,0.24762647,0.22367285,0.2036738,0.19204545,0.18819076,0.19033776,0.19979145,0.22096185,0.25478825,0.2961246,0.33426717,0.3618385,0.37786594,0.38730916,0.3943191,0.39901352,0.3994813,0.39364913,0.38238597,0.3653127,0.34359786,0.3173728,0.2909315,0.26831868,0.25531116,0.2544379,0.2666806,0.28824982,0.3140361,0.33904698,0.36298487,0.38808438,0.41656506,0.44641542,0.47213635,0.4871622,0.487602,0.47558478,0.45947456,0.45057753,0.45638645,0.47590506,0.5019746,0.5259052,0.5438607,0.55502313,0.5618663,0.56595093,0.5698001,0.5738521,0.5783632,0.58120114,0.58137363,0.576998,0.5682134,0.5536735,0.53316355,0.505101,0.46990693,0.42933583,0.38692236,0.34567395,0.30623007,0.2689479,0.23580556,0.2130862,0.20828696,0.22619617,0.26447764,0.31322074,0.3591702,0.39163923,0.40814987,0.41333976,0.414861,0.41757503,0.42312226,0.43258926,0.4492723,0.47807407,0.5203666,0.5702409,0.6142153,0.6384625,0.63714534,0.6159014,0.586945,0.5600129,0.53779656,0.51912856,0.504395,0.49882057,0.50672126,0.5277539,0.5540121,0.5778273,0.596452,0.61536014,0.6405819,0.67300993,0.70567936,0.73120165,0.7488136,0.7645831,0.7838283,0.80155605,0.80409884,0.77785367,0.72261477,0.65399605,0.5946393,0.5595495,0.5473449,0.54619163,0.544028,0.5376221,0.5286584,0.5188311,0.504309,0.48143756,0.45210359,0.42853913,0.42428276,0.44313338,0.4721214,0.49054682,0.48471734,0.45683417,0.42078623,0.39209256,0.38076624,0.3918992,0.4261613,0.47953272,0.5383149,0.5819995,0.59169173,0.562554,0.5053182,0.4375132,0.37366045,0.32386902,0.2983369,0.30447224,0.34005153,0.38684547,0.42116645,0.42525128,0.39995405,0.358114,0.3174881,0.28774336,0.2702272,0.26004484,0.25329193,0.25018635,0.2534348,0.26545742,0.2847551,0.30753586,0.3277624,0.33993205,0.34095109,0.3334216,0.32553756,0.3251204,0.3348849,0.35093522,0.36791906,0.3820274,0.390242,0.390355,0.38044134,0.36364433,0.34433737,0.32726362,0.31186977,0.297259,0.28414318,0.27796865,0.2833704,0.29968923,0.31855544,0.3294419,0.32700983,0.31560597,0.30426726,0.2990422,0.29835674,0.29806828,0.29744187,0.300977,0.31346667,0.33583406,0.36516726,0.3970605,0.426388,0.44691202,0.4519708,0.43772027,0.40521428,0.3614035,0.31810787,0.2885923,0.28313935,0.30174705,0.335871,0.37046397,0.394976,0.40239796,0.39296207,0.36847624,0.33658755,0.30566096,0.2845793,0.27609944,0.2796749,0.29169238,0.3091136,0.3276124,0.34311366,0.35187063,0.35235414,0.3435479,0.32534242,0.2988055,0.26875407,0.24215613,0.22454238,0.21583438,0.21083169,0.20413512,0.19440454,0.18516214,0.18111433,0.18483044,0.19532712,0.20926882,0.22313641,0.2349215,0.24448638,0.25344148,0.2631681,0.27477416,0.2859855,0.29420376,0.29541433,0.28960946,0.2770112,0.26010528,0.23937969,0.21669976,0.194256,0.17717826,0.1714893,0.18212603,0.20835854,0.2423652,0.2725685,0.28985357,0.29250526,0.28411022,0.2705002,0.25569305,0.24318081,0.23493867,0.23163962,0.2311873,0.23039667,0.22710454,0.221669,0.2167546,0.21554063,0.21999247,0.22925319,0.23939233,0.24559386,0.24485731,0.23834516,0.22942291,0.22167529,0.21657431,0.21470432,0.2164306,0.22205748,0.23092681,0.24048035,0.24821435,0.25268194,0.25610128,0.2614565,0.27073517,0.27986264,0.28182834,0.27074695,0.25071916,0.23406722,0.23407483,0.25260258,0.27745414,0.2915844,0.28519228,0.26338378,0.23773716,0.21862747,0.20676506,0.19887473,0.19041622,0.18081112,0.17094968,0.16337557,0.16011335,0.16189902,0.16735898,0.17325933,0.17751835,0.17867823,0.17713688,0.17289682,0.16806324,0.16539937,0.16735952,0.17238362,0.17534618,0.17164128,0.16166699,0.15113665,0.1453502,0.14437152,0.14313637,0.13734557,0.12701647,0.11589884,0.106796205,0.10123563,0.099242546,0.10263184,0.11226199,0.1285132,0.14806151,0.16613095,0.17775114,0.18049788,0.17550333,0.16471118,0.15101643,0.1365889,0.1257345,0.12201097,0.12737465,0.13943093,0.15411593,0.16693456,0.17491317,0.17580654,0.17000164,0.16068621,0.15367603,0.1528207,0.15822214,0.16635181,0.17487626,0.18390788,0.19456927,0.20489752,0.21009131,0.20640342,0.19466726,0.17947952,0.16557445,0.15539788,0.14968558,0.14800586,0.14929931,0.15159522,0.15365563,0.15625249,0.16210385,0.17391938,0.19153108,0.21193081,0.23041143,0.24421935,0.2526164,0.2573588,0.2605377,0.26561156,0.27513692,0.28997722,0.30657366,0.320249,0.3273236,0.3280673,0.3237019,0.31535092,0.3023524,0.28477475,0.26364714,0.2421949,0.22329932,0.20924942,0.20005949,0.19566731,0.19550546,0.19969803,0.20675166,0.21424623,0.2185211,0.21778117,0.21222104,0.20390695,0.19413517,0.18349653,0.17298679,0.16555373,0.16515215,0.17431098,0.19175684,0.21228947,0.22877137,0.23613341,0.23330379,0.22331108,0.2098643,0.1965987,0.18532771,0.17749308,0.17143397,0.16542087,0.1572417,0.14927155,0.1446097,0.14697699,0.15566371,0.1684616,0.18225694,0.1956616,0.20674188,0.21271424,0.21117575,0.20328547,0.19287515,0.18286161,0.17305245,0.16235922,0.15197375,0.14420652,0.14052276,0.13977225,0.14111672,0.14379035,0.14789332,0.15173437,0.15387417,0.15355861,0.15339744,0.1572156,0.16737927,0.18153131,0.19409639,0.20046328,0.20032175,0.19654356,0.19205648,0.18825859,0.18637471,0.18835412,0.19495638,0.20381062,0.20940231,0.20739241,0.19713302,0.1826799,0.16892369,0.15893038,0.15202792,0.14692736,0.14379852,0.14502428,0.15090735,0.1584735,0.1630444,0.16350329,0.16244332,0.16335778,0.16614944,0.16818593,0.16623831,0.1597414,0.1492986,0.13714127,0.12540832,0.11694681,0.11281842,0.11237168,0.11333936,0.114439845,0.11559241,0.117454976,0.11987705,0.121970914,0.12238792,0.12032569,0.116361916,0.11272919,0.11219808,0.11589569,0.12231389,0.12818815,0.13068455,0.12897019,0.12404928,0.117890775,0.11187629,0.106647216,0.10210321,0.09848061,0.09638965,0.09651513,0.098748006,0.10196655,0.10451254,0.10511189,0.10354424,0.10084394,0.09854322,0.09783559,0.09871904,0.1004424,0.1020939,0.10334917,0.1041922,0.10462621,0.10461088,0.104157545,0.10347869,0.10245621,0.10111769,0.09980116,0.099930346,0.10280544,0.10869101,0.11581368,0.12193773,0.12611707,0.12975551,0.13502283,0.14282635,0.15209006,0.16100042,0.16802533,0.17231901,0.17313665,0.17095922,0.16708605,0.16379905,0.16175704,0.16070455,0.15893812,0.15518692,0.14771171,0.13612455,0.121807136,0.108725905,0.10068661,0.09926232,0.10305969,0.10944006,0.116275884,0.12237229,0.12774284,0.13271202,0.1377434,0.14198859,0.1442483,0.14357376,0.1407495,0.13730776,0.13438793,0.13223107,0.13033043,0.12876113,0.12719645,0.1256804,0.12319713,0.11960558,0.11460641,0.10936659,0.10474476,0.10204635,0.10131413,0.10236151,0.10417568,0.10582578,0.10595223,0.10361117,0.098892175,0.09314141,0.08777219,0.08299327,0.07793512,0.072149575,0.06650963,0.06283486,0.062315404,0.06462929,0.06817811,0.071038105,0.072339214,0.07243377,0.07279689,0.07422048,0.07632893,0.07740881,0.07642128,0.07346561,0.070001684,0.06719769,0.06582221,0.06591293,0.067369275,0.06960284,0.071534194,0.0720868,0.07086278,0.068627,0.066289715,0.06417587,0.061737288,0.058781087,0.056052525,0.054839954,0.05539989,0.05648692,0.05631337,0.054322723,0.05171922,0.050275758,0.050953094,0.052994642,0.05471137,0.05436085,0.051661942,0.047922254,0.045253303,0.04479875,0.046065915,0.047512915,0.04801103,0.047442555,0.046693478,0.046504613,0.04706998,0.047631998,0.047533322,0.046350535,0.0443747,0.04190657,0.03949006,0.037415255,0.035773266,0.034241084,0.0327042,0.031596273,0.03158198,0.0325233,0.033194736,0.03208297,0.0289219,0.02480328,0.0214137,0.019781724,0.020341264,0.023150563,0.027676046,0.032314297,0.034675483,0.033204023,0.028238753,0.021856762,0.016357118,0.013042457,0.011839786,0.011865667,0.012232984,0.012815495,0.0141909765,0.01712182,0.021618122,0.026758792,0.031428445,0.035425723,0.03974733,0.04565674,0.053287655,0.061750192,0.06967039,0.07674723,0.08304732,0.08904916,0.09441931,0.09910474,0.10298565,0.10627528,0.10843494,0.10957545,0.111251555,0.11738912,0.13077241,0.15128595,0.17468543,0.19680409,0.21464121,0.22774279,0.2356413,0.23901339,0.23881634,0.23718786,0.23417795,0.22841145,0.21691962,0.19985883,0.18037558,0.16502883,0.15937664,0.16710012,0.18764998,0.21755792,0.24974048,0.27717662,0.29403698,0.30010107,0.2985413,0.29467914,0.28975356,0.28178594,0.26808602,0.25076672,0.23516367,0.22600389,0.22401385,0.22813256,0.23664708,0.24783981,0.25789198,0.26433906,0.2667348,0.26893017,0.27334535,0.28114164,0.28962323,0.29744145,0.30308315,0.3072001,0.30903283,0.3089918,0.30727854,0.30621126,0.3067299,0.3090372,0.31130257,0.31331217,0.31570596,0.31969452,0.32336414,0.32275045,0.31425193,0.2995719,0.2842768,0.2731016,0.26463643,0.25448748,0.24194157,0.23286831,0.23431958,0.24681003,0.26321062,0.27372396,0.27301142,0.26251745,0.24869627,0.23823033,0.23523204,0.24011289,0.25080147,0.26284227,0.27154648,0.27406704,0.2714068,0.2663458,0.26080588,0.25535014,0.25127923,0.25135812,0.25794914,0.27058122,0.28547215,0.2967451,0.2985101,0.2887675,0.27177668,0.25811592,0.25784966,0.27469775,0.3024707,0.32898238,0.34254798,0.3389696,0.32502705,0.31417897,0.31685147,0.3321768,0.34911862,0.35695705,0.35197118,0.3389585,0.32384706,0.31215978,0.30650207,0.30866805,0.31639045,0.32466698,0.32739154,0.3236595,0.31840467,0.31914568,0.32739934,0.33678117,0.33690643,0.32321635,0.29900897,0.2722284,0.24851353,0.23064633,0.21987987,0.21667053,0.21916072,0.22371711,0.22809683,0.23311377,0.23961546,0.24587841,0.24808119,0.2463891,0.24465953,0.24872224,0.25975943,0.27789214,0.30047962,0.32570195,0.34724024,0.36110005,0.36449432,0.3594071,0.34707847,0.33037278,0.3142687,0.3060864,0.31195143,0.33343732,0.36551178,0.3973302,0.4165024,0.41859517,0.40944305,0.40070486,0.3977336,0.39659145,0.38734734,0.36403194,0.3296487,0.2963892,0.27799714,0.28139296,0.30267325,0.33080325,0.35484612,0.36847982,0.370844,0.3643632,0.35309348,0.3418591,0.33533862,0.33523068,0.33781433,0.3344907,0.31858334,0.28934637,0.25458592,0.2245999,0.20915289,0.2102619,0.22390307,0.24135394,0.25777948,0.27156284,0.2842861,0.29638374,0.30986783,0.32747328,0.35013556,0.37348637,0.38797665,0.38721088,0.37252152,0.35624814,0.35199043,0.3682675,0.40264836,0.44720146,0.49293017,0.5330248,0.562474,0.5786111,0.5833306,0.5825413,0.5813895,0.5783909,0.5640433,0.52910507,0.4725943,0.4059762,0.34463033,0.30037054,0.2768134,0.2727205,0.28418365,0.30444562,0.32503286,0.3386264,0.34419405,0.34645894,0.352066,0.36425257,0.3810854,0.3982865,0.41316453,0.42537165,0.43538746,0.44039094,0.43865827,0.4306202,0.42262283,0.41842684,0.41683444,0.41063002,0.39384007,0.3669754,0.33732748,0.31745243,0.31772164,0.34213623,0.38269198,0.42370185,0.4486394,0.4501163,0.43370557,0.41545466,0.41234633,0.43376365,0.47444096,0.52117246,0.55756575,0.57874125,0.58651996,0.59086925,0.59443206,0.5972451,0.59341866,0.58307546,0.5680811,0.5565571,0.5557666,0.5741673,0.6096981,0.64791495,0.66109055,0.6301094,0.5580588,0.47405767,0.40919816,0.37900278,0.37563428,0.38297716,0.38703883,0.3846123,0.37862673,0.37569615,0.3775742,0.38023698,0.37327674,0.3491507,0.30728653,0.25721425,0.21098967,0.17890434,0.1642633,0.1667522,0.18166827,0.20256822,0.22016096,0.228803,0.22943191,0.23134656,0.2441995,0.27211347,0.31189737,0.35934088,0.41195747,0.46575937,0.5088856,0.5243625,0.502654,0.45330048,0.4021323,0.37334415,0.37316546,0.38810146,0.39961588,0.3970107,0.380898,0.35550186,0.32475686,0.2915723,0.26136866,0.23973687,0.23069757,0.23249526,0.23981254,0.24386467,0.23896243,0.2233072,0.20321776,0.18703024,0.18296169,0.19145502,0.20682329,0.21823348,0.21822715,0.20668954,0.19273372,0.18853886,0.20269972,0.23532732,0.27841818,0.31984377,0.3484151,0.36076772,0.36413446,0.37400928,0.40207568,0.44634032,0.49063244,0.5166988,0.51758915,0.49982274,0.47613323,0.4537996,0.43296084,0.40952072,0.38235506,0.3528439,0.32303575,0.2930957,0.2633774,0.23617406,0.21536772,0.20501721,0.20830174,0.22726166,0.2610699,0.3051063,0.35220838,0.39691463,0.4378641,0.47782803,0.5187227,0.5603395,0.5971077,0.6226582,0.62937254,0.6159056,0.58623886,0.55050015,0.5169303,0.4878954,0.4605008,0.4306155,0.39984536,0.3734746,0.35910526,0.35819998,0.36644486,0.37432575,0.37450218,0.3639891,0.34457728,0.3200213,0.29567888,0.2798058,0.2825244,0.31196085,0.36670494,0.43556133,0.5000977,0.5461691,0.56685966,0.56488055,0.54506737,0.51212937,0.46979758,0.42272934,0.37832496,0.34271538,0.31971368,0.30776593,0.30246714,0.29813728,0.28983626,0.2761567,0.25917378,0.244968,0.23864467,0.24269648,0.2555203,0.27426866,0.29582894,0.3165743,0.3326479,0.3402562,0.3390701,0.33140463,0.32317436,0.32038462,0.3291962,0.35274866,0.38973618,0.43141925,0.46275413,0.4678187,0.4384351,0.37999168,0.30916432,0.24557082,0.20286411,0.18661201,0.19611,0.227682,0.27399933,0.32376632,0.36277127,0.3781458,0.3640139,0.32418087,0.27165702,0.22115152,0.18306078,0.15953662,0.14811729,0.14443368,0.14452541,0.14415815,0.1407086,0.13394292,0.12648486,0.12097123,0.119102515,0.12137378,0.1279003,0.13782056,0.14877777,0.15860437,0.16671455,0.17474085,0.1839632,0.19489366,0.20745593,0.22320652,0.24407206,0.2720556,0.30634615,0.34403935,0.37759838,0.39819506,0.3992817,0.38447925,0.36772433,0.3659662,0.3876216,0.42653954,0.46597418,0.48835683,0.48521724,0.46354413,0.44146827,0.43707427,0.45287696,0.47787395,0.49799892,0.51187223,0.5244451,0.5381507,0.5435123,0.5293999,0.49178383,0.4388341,0.38471994,0.34075356,0.31070542,0.29057214,0.27664825,0.27023348,0.2788966,0.30732143,0.351151,0.39439428,0.41841173,0.4103363,0.3718121,0.3167137,0.26479137,0.2299064,0.21439184,0.21092455,0.21107431,0.21309938,0.22033823,0.2347215,0.25001237,0.2557497,0.24527985,0.22212799,0.19726181,0.18138714,0.17945077,0.18938828,0.20592241,0.22386585,0.24149184,0.25992075,0.28146994,0.3060613,0.33071277,0.35029367,0.35998705,0.35624978,0.33794406,0.30720046,0.2701224,0.23427182,0.20653999,0.19013067,0.18586655,0.19107793,0.20136662,0.21158291,0.2194448,0.2263195,0.234039,0.24229284,0.24826138,0.2522812,0.25889894,0.2756714,0.30493045,0.3415762,0.37281072,0.38723812,0.37980488,0.35589516,0.32503513,0.29630378,0.27273282,0.25381014,0.23726158,0.22384852,0.21613257,0.2178914,0.22910637,0.24723916,0.2672387,0.28702715,0.30612928,0.32687426,0.34869066,0.36992654,0.3859509,0.39603874,0.401256,0.40677047,0.41490558,0.42640027,0.43792823,0.44574586,0.44656888,0.43934873,0.42618728,0.40981114,0.39348027,0.37801924,0.36465225,0.3532451,0.34449998,0.3379098,0.33369613,0.33217648,0.3333433,0.336827,0.34132978,0.34819114,0.3598688,0.38007453,0.40820098,0.43889666,0.46268356,0.46989563,0.45483205,0.41674384,0.36285123,0.30482525,0.25697044,0.22736241,0.21707773,0.21993548,0.23015182,0.24469177,0.2646486,0.2904556,0.321702,0.3548377,0.38683322,0.41037276,0.41975152,0.41125503,0.39438733,0.38334796,0.3888706,0.40322074,0.4063716,0.3800734,0.32359502,0.2539368,0.19344871,0.15582891,0.14076422,0.13928543,0.14267486,0.1474868,0.15407245,0.16237397,0.17027162,0.17590196,0.18051161,0.18603212,0.19206391,0.19417371,0.19170924,0.19040322,0.1998949,0.22159946,0.2450016,0.25503013,0.24404173,0.21748592,0.18605821,0.15867811,0.13757625,0.12280237,0.11303323,0.10775062,0.10473273,0.10227608,0.09853417,0.09431762,0.090895854,0.089862056,0.090205245,0.09017872,0.08870318,0.087781705,0.090114444,0.096493125,0.103378095,0.10629183,0.10295246,0.09603933,0.08925868,0.08475011,0.080956645,0.07624239,0.0704158,0.06503361,0.060978204,0.05772369,0.055118244,0.053944092,0.056175936,0.06219129,0.07116539,0.08044601,0.08741205,0.08985129,0.08783347,0.083417356,0.079491794,0.07727022,0.076274484,0.07505133,0.0731593,0.07076173,0.06867161,0.06706037,0.065640785,0.06344832,0.06002328,0.05576535,0.05186822,0.048825327,0.04620659,0.04313835,0.03987274,0.037462607,0.03692815,0.03820592,0.04046238,0.043250993,0.046474308,0.050877888,0.05641697,0.063042924,0.069312535,0.074482806,0.07882827,0.08487946,0.09504866,0.10880185,0.12289399,0.134183,0.1441216,0.15782666,0.1800524,0.2097348,0.23838997,0.25513378,0.25400904,0.23979008,0.22496484,0.2217968,0.23428468,0.25859615,0.28859723,0.32412526,0.36575952,0.40994284,0.44093964,0.44601986,0.42461774,0.39475307,0.3766327,0.38029447,0.40271568,0.43344966,0.46327996,0.48288432,0.48801848,0.47715744,0.4563631,0.43097088,0.40623203,0.38296512,0.36504927,0.35787502,0.36752495,0.3929259,0.4253336,0.45320395,0.4714086,0.48530212,0.5033913,0.5281833,0.55015695,0.56119365,0.55995995,0.5578137,0.5581484,0.5565485,0.5371187,0.49401236,0.43162704,0.36905813,0.32769012,0.32716194,0.3754604,0.46712932,0.5824183,0.6953818,0.7802942,0.81991124,0.8095667,0.7607577,0.6978952,0.64512825,0.6117526,0.58628005,0.5519497,0.50459856,0.45822147,0.42812756,0.4143922,0.4028827,0.3818213,0.35639298,0.34304142,0.35616443,0.39282742,0.43653354,0.4646519,0.46446538,0.43648937,0.3949504,0.35707664,0.33511534,0.3292278,0.32888958,0.3201011,0.29534337,0.2588377,0.22299153,0.1996514,0.19259037,0.19772613,0.2078151,0.22074974,0.23960681,0.2703664,0.31115365,0.35266426,0.38202,0.39448047,0.39484963,0.39107978,0.38717118,0.38058507,0.36975142,0.35571995,0.3433365,0.3337176,0.32434896,0.3104405,0.2920709,0.27433142,0.26268998,0.25841162,0.25848684,0.26359844,0.27664492,0.30203435,0.33750162,0.38009283,0.42643103,0.47564006,0.5246857,0.5689037,0.6042095,0.6253087,0.62483126,0.59282345,0.5292068,0.44998184,0.38453153,0.3539709,0.35779348,0.37708437,0.39636126,0.41332898,0.43213847,0.4483591,0.45186946,0.43819213,0.4158329,0.39651975,0.38828644,0.3962469,0.42778483,0.48546982,0.55532295,0.60831475,0.6184476,0.5839478,0.5250902,0.4674847,0.42114303,0.3810047,0.3368535,0.2880046,0.24468316,0.22258706,0.2314775,0.2675908,0.313354,0.34533536,0.34826386,0.32194772,0.2807756,0.24046129,0.21057184,0.18997397,0.17489095,0.16150941,0.14948495,0.1378593,0.12673874,0.11683413,0.11120824,0.11233827,0.12161442,0.13976175,0.16828449,0.20814686,0.25580835,0.30279872,0.33934566,0.3611215,0.37094787,0.3735703,0.37073818,0.36019707,0.34340665,0.3282036,0.3259534,0.3407589,0.36401033,0.37885782,0.37163004,0.3414925,0.3000476,0.26441833,0.24737297,0.2514273,0.26806247,0.28420994,0.28972843,0.28295466,0.26822156,0.2523032,0.23963308,0.23227055,0.22967303,0.23018777,0.23222075,0.23655875,0.24694996,0.2659856,0.28943267,0.3045384,0.2992205,0.2714616,0.23362774,0.20213397,0.18849508,0.19387351,0.21606249,0.25548825,0.31617868,0.3993317,0.4942278,0.5802192,0.6325806,0.63839215,0.6002338,0.5380885,0.47450054,0.4246564,0.3880309,0.35671282,0.32553935,0.29798642,0.28113508,0.27637383,0.27751508,0.273887,0.25935972,0.23407769,0.20455402,0.17784561,0.15876214,0.14789744,0.14213061,0.13734685,0.13016629,0.12100626,0.11323702,0.11301464,0.12599894,0.1552806,0.19903485,0.25105515,0.30208907,0.34189093,0.3617089,0.3588363,0.33877483,0.313231,0.29127225,0.2761921,0.26448086,0.25359067,0.2412064,0.22799166,0.21412493,0.20330584,0.20159233,0.21610151,0.2489192,0.29502997,0.3453978,0.3933808,0.43527722,0.46713188,0.48186085,0.4779096,0.46501493,0.46134606,0.47573844,0.4994587,0.5147031,0.5111366,0.4924458,0.46457922,0.4320471,0.39772776,0.3744037,0.37403512,0.39868364,0.43099847,0.45034084,0.447598,0.4306717,0.4115049,0.39512265,0.38184026,0.37673283,0.39046773,0.4277955,0.4765346,0.5126989,0.5161862,0.48552778,0.43684018,0.3934324,0.37112188,0.37113127,0.3807,0.38330683,0.36784884,0.33409095,0.288267,0.24002433,0.19781502,0.16891144,0.15537901,0.15396832,0.1571102,0.158749,0.15686256,0.15351504,0.1503069,0.14764637,0.14426054,0.14088641,0.13848017,0.13862616,0.1414808,0.14815326,0.1598174,0.17702244,0.19871517,0.22325595,0.24987638,0.276981,0.30187616,0.3204656,0.33107808,0.33391938,0.33203524,0.3284644,0.327826,0.33277512,0.34365273,0.3560957,0.365723,0.36923504,0.36622533,0.3573961,0.34680295,0.3416579,0.34792975,0.36449063,0.38162374,0.38965845,0.38519415,0.3731344,0.35907915,0.34605315,0.3341925,0.32557067,0.32341456,0.3297203,0.34134725,0.35222664,0.35654867,0.35214177,0.33993575,0.3223505,0.30155367,0.27976605,0.2595829,0.2446416,0.23736827,0.23776935,0.24210833,0.2444979,0.23929004,0.22377057,0.2004615,0.17603362,0.15923406,0.1569876,0.17424965,0.2117937,0.26663604,0.32793573,0.38225535,0.41599452,0.42549214,0.41409245,0.39159206,0.36494505,0.33925644,0.31754175,0.30522716,0.30733278,0.32498696,0.35192308,0.3773251,0.3918345,0.3926914,0.3833556,0.36902404,0.35136726,0.32909498,0.30114868,0.2715458,0.2471832,0.23348224,0.22852258,0.22406064,0.21138589,0.18890417,0.16455978,0.15006356,0.15311739,0.17120953,0.19463396,0.21088177,0.21276797,0.19978862,0.17903703,0.15930457,0.14760177,0.14650333,0.15638693,0.17736442,0.20919025,0.24961527,0.29453984,0.33862206,0.37737998,0.40535986,0.4188725,0.41527653,0.39654484,0.3658639,0.328378,0.28927472,0.2549474,0.22968026,0.21352428,0.2020989,0.19179304,0.18323177,0.1810354,0.18881583,0.20537843,0.22538078,0.241835,0.25125006,0.25365695,0.25314724,0.25315168,0.2549367,0.2564857,0.25463822,0.24784857,0.23609954,0.22190006,0.20911264,0.20581777,0.22151482,0.26440018,0.33321166,0.4191216,0.50816983,0.5918531,0.6637351,0.720022,0.75108963,0.75014657,0.7154112,0.6594334,0.60187423,0.5627494,0.55027246,0.5585963,0.5720312,0.5749286,0.5605119,0.5341972,0.50948435,0.49811816,0.5007387,0.50559217,0.4971343,0.46721745,0.421339,0.37418732,0.34053847,0.32586002,0.32484984,0.32663926,0.32328618,0.31442228,0.30473185,0.29858395,0.2950064,0.28994966,0.27994013,0.2678963,0.25930333,0.25800467,0.25937775,0.25705492,0.24842216,0.24060215,0.24076648,0.25068364,0.26233563,0.26802793,0.26349434,0.25157544,0.23537438,0.21854426,0.20294423,0.19147806,0.18587483,0.18709995,0.19409662,0.20616758,0.22254007,0.24357867,0.2672745,0.29031527,0.30595613,0.30906463,0.29619923,0.2698549,0.23539786,0.20039499,0.17038758,0.14823407,0.13351241,0.1236279,0.11572229,0.10802861,0.10120835,0.09668833,0.09560061,0.096733056,0.09820434,0.0983587,0.09788584,0.09805807,0.099464834,0.10047848,0.09882031,0.093280725,0.08445585,0.074017145,0.06345208,0.053854924,0.045905087,0.040029507,0.036404986,0.03491969,0.035454195,0.03753532,0.040436596,0.04297179,0.04415046,0.043430854,0.04103848,0.03780291,0.034809235,0.032993473,0.032668192,0.033529654,0.034797296,0.035565164,0.034955274,0.032459494,0.028238108,0.02337084,0.019264504,0.016972547,0.016623626,0.017907241,0.020502135,0.02404853,0.027628114,0.029813685,0.029669547,0.02779297,0.026412047,0.028768592,0.03774633,0.054983675,0.07938829,0.1074905,0.13457133,0.15788823,0.17882049,0.20250054,0.2343509,0.2739328,0.31319487,0.3385338,0.34118584,0.322337,0.29482034,0.27277577,0.26562536,0.27267984,0.28792593,0.30249855,0.3101131,0.30797195,0.29859102,0.28766128,0.28209722,0.286106,0.29900542,0.31410798,0.32322097,0.32219088,0.31539825,0.31218517,0.32048988,0.3414115,0.36988306,0.3982838,0.4206502,0.4342184,0.44094396,0.4449972,0.45242944,0.46686044,0.49079522,0.5229466,0.55935526,0.59141105,0.60880595,0.6047395,0.5812469,0.5511598,0.52904934,0.52345234,0.52978855,0.53959584,0.54595447,0.5497263,0.5521705,0.5545433,0.5561953,0.55947214,0.56752896,0.58507794,0.6147366,0.6586149,0.7120784,0.76642114,0.8052451,0.81813604,0.8006242,0.7644909,0.72559613,0.7030947,0.70413876,0.7236908,0.74294645,0.74522525,0.7287511,0.70763856,0.69715184,0.6962791,0.6910905,0.6668107,0.6225829,0.56659573,0.5082819,0.45037308,0.39365885,0.3429662,0.30934563,0.30377755,0.32976913,0.38098314,0.4454479,0.5092252,0.56001526,0.58733034,0.587849,0.5645197,0.52629703,0.48053524,0.43168905,0.38186517,0.33513728,0.30125856,0.29306886,0.32200566,0.38806298,0.47833514,0.57023436,0.64305454,0.6848164,0.6938556,0.67559224,0.6393361,0.5980866,0.56550676,0.5534348,0.5651433,0.5954492,0.6293195,0.6489157,0.6375735,0.59167737,0.5231814,0.45639756,0.41080415,0.39037943,0.38503566,0.38442254,0.38790026,0.4026897,0.43305704,0.47199824,0.5016193,0.50498784,0.47625983,0.4263099,0.37365663,0.33646417,0.3215242,0.32566783,0.33622134,0.34153405,0.33470044,0.31866035,0.30119893,0.2916423,0.29705104,0.3211291,0.36278883,0.41170833,0.45008287,0.45894364,0.43246225,0.38307846,0.3370087,0.3188807,0.34116665,0.40100005,0.4837233,0.56680804,0.62499976,0.6397009,0.60742,0.54345167,0.47232378,0.41779697,0.39243755,0.40025267,0.43794408,0.4989872,0.5704241,0.6339498,0.6707335,0.66933703,0.631638,0.5690744,0.49714324,0.4275521,0.36782417,0.3230041,0.29724312,0.29379568,0.31150666,0.34737566,0.39648905,0.454044,0.5112855,0.5568326,0.5809261,0.58171993,0.56542784,0.5408353,0.5148154,0.49107733,0.4741082,0.46863618,0.4780532,0.49857017,0.5194805,0.52979445,0.5238132,0.5055799,0.4786155,0.44717064,0.4123197,0.3826485,0.3657534,0.36550212,0.37295005,0.37722388,0.37111792,0.3582257,0.34266713,0.32851872,0.31476822,0.30541033,0.304323,0.3162584,0.33605996,0.35428318,0.36105692,0.35565376,0.34306562,0.3307108,0.3240354,0.3287805,0.3493348,0.38871193,0.44684842,0.5221644,0.6068415,0.6839857,0.7293648,0.7253359,0.67219824,0.5888676,0.5006847,0.42575064,0.37027088,0.33025363,0.2986469,0.2707264,0.24694449,0.23261859,0.23180716,0.24728352,0.2759534,0.31369486,0.35108948,0.38055053,0.39644197,0.40238872,0.40810645,0.42556357,0.46113142,0.5102058,0.5600707,0.5945417,0.6038639,0.58451295,0.54035974,0.4771352,0.4053363,0.33772454,0.2884997,0.26412383,0.26072758,0.26588044,0.26940754,0.27071145,0.2788075,0.3034054,0.34516475,0.39241406,0.42731228,0.43578446,0.41695115,0.38334098,0.35585666,0.3499448,0.36714163,0.392199,0.40508604,0.3936813,0.3622458,0.32596242,0.30051434,0.2932845,0.30242148,0.3212053,0.3425716,0.36204788,0.3782411,0.39229015,0.4056474,0.41665247,0.41942635,0.4064478,0.3748144,0.33048764,0.286184,0.25554812,0.24470444,0.25084084,0.2621902,0.26727512,0.26065552,0.24852438,0.24139504,0.24533975,0.2561431,0.26484728,0.2679287,0.27072334,0.28428027,0.31419075,0.35692886,0.3974465,0.42094478,0.41856706,0.39643177,0.36702955,0.34536043,0.33980787,0.3539952,0.3847402,0.42304143,0.45613313,0.47370234,0.47451618,0.46538088,0.45498136,0.44673607,0.43958068,0.4336288,0.43356398,0.4446917,0.46539652,0.4858633,0.49482778,0.48858568,0.47352466,0.4589983,0.45035768,0.44542983,0.44069743,0.4340801,0.42596766,0.41428575,0.3954815,0.36838648,0.33872044,0.31552234,0.30330786,0.29833055,0.29361442,0.28683832,0.28101742,0.2787732,0.27760872,0.27247763,0.26211324,0.2514426,0.24810342,0.255366,0.27034524,0.2867557,0.30154416,0.31494343,0.32749268,0.3358159,0.33514562,0.325101,0.31241375,0.30815983,0.31919107,0.34373197,0.37131354,0.39006242,0.39274332,0.3799748,0.35775676,0.33319297,0.31113875,0.29294714,0.27795827,0.26472154,0.2526116,0.24122299,0.2304777,0.22108583,0.21567225,0.21865205,0.23232545,0.25449023,0.27747795,0.29400432,0.30099133,0.3031218,0.3094333,0.32827696,0.36062142,0.39852223,0.4312791,0.45236853,0.46359038,0.46831512,0.46887764,0.46346322,0.4518994,0.43309495,0.40633905,0.36937106,0.32420677,0.27765927,0.23913665,0.21449786,0.20405011,0.20494036,0.21375394,0.22708416,0.24087553,0.2514317,0.25767013,0.2612073,0.26427266,0.26602134,0.26241985,0.24920999,0.22689706,0.20146684,0.1814909,0.17281862,0.17692967,0.19093335,0.20988113,0.22823536,0.2423269,0.25101164,0.25477067,0.25388476,0.24854182,0.24036454,0.2332228,0.23157276,0.23794854,0.25127766,0.2670867,0.27990377,0.2862009,0.28716087,0.28690943,0.28941357,0.29439518,0.29875445,0.29867402,0.2931011,0.2828579,0.27074543,0.25894004,0.24926369,0.24087435,0.23342021,0.2272891,0.2256794,0.22935015,0.2346016,0.2333621,0.21968232,0.19465835,0.16584918,0.14249979,0.12995231,0.1289451,0.1367706,0.14953816,0.16233234,0.1705963,0.17156015,0.16603523,0.15645339,0.1449948,0.13201594,0.11845551,0.1065524,0.0997583,0.099612266,0.10547042,0.11481038,0.1258952,0.13728665,0.14794533,0.1556473,0.15877616,0.15652137,0.1500224,0.140185,0.12752585,0.111728735,0.09384815,0.076344974,0.06257745,0.054304812,0.05104592,0.0505795,0.05102354,0.051652327,0.052642673,0.05388431,0.054718643,0.054390986,0.0526953,0.049857453,0.046230197,0.042268004,0.03887662,0.03717278,0.037549093,0.0390171,0.03989591,0.039342716,0.03826343,0.038241997,0.04031061,0.043667186,0.046734143,0.04774955,0.046272483,0.042805955,0.038488064,0.03411894,0.029925352,0.025757352,0.02153146,0.01763031,0.014943813,0.014038804,0.01477244,0.016143823,0.017524483,0.018746616,0.019985719,0.020956563,0.021148765,0.02046235,0.019436093,0.019234883,0.020513734,0.023287645,0.026390975,0.028651161,0.029080316,0.027822344,0.025408601,0.022778032,0.020314611,0.018428534,0.017162563,0.016645284,0.016450128,0.016261483,0.016095104,0.016555572,0.017956661,0.019984514,0.02194576,0.023766091,0.025610799,0.027409956,0.02810358,0.026859917,0.023776412,0.020101037,0.017034225,0.015049096,0.014101994,0.0141407475,0.01507787,0.01655671,0.018017815,0.019552322,0.021676114,0.024881532,0.028703934,0.032420624,0.035859868,0.039559778,0.044188183,0.049631048,0.0561438,0.064608194,0.076761134,0.09287464,0.11109382,0.12852211,0.14322977,0.15579273,0.16731845,0.17904639,0.19000922,0.19824998,0.20053339,0.1961212,0.18879245,0.18703578,0.1988148,0.22722916,0.26913068,0.3191316,0.36895585,0.40974808,0.43137428,0.43113253,0.41293526,0.3868679,0.3612337,0.34212217,0.33174965,0.32848865,0.32682255,0.3218287,0.31382766,0.3076957,0.30767062,0.31348106,0.32422614,0.34041223,0.3647503,0.39409783,0.42154166,0.4372972,0.43898407,0.42891875,0.41408643,0.39883766,0.3868535,0.38178945,0.38952705,0.41472277,0.45725694,0.50884885,0.55647755,0.5844574,0.5847213,0.557677,0.51676875,0.47594342,0.44586945,0.42763838,0.42009786,0.42237058,0.43474665,0.45662645,0.48679423,0.52440685,0.5686374,0.61306256,0.6492038,0.6670609,0.66698915,0.65272427,0.63296694,0.6094858,0.58385223,0.55509907,0.5265696,0.5008886,0.4803418,0.4626211,0.44374558,0.41885868,0.38767064,0.3541503,0.3267115,0.31178036,0.31223655,0.32561812,0.34980512,0.38231552,0.42121744,0.45818755,0.48320553,0.4871097,0.4719666,0.44794437,0.42858768,0.42026666,0.41917834,0.41708848,0.4096868,0.40268204,0.40402654,0.41671515,0.43546817,0.45691785,0.48484638,0.52846503,0.58888847,0.6558419,0.710243,0.7415808,0.7498625,0.7473996,0.73933405,0.72660714,0.7029102,0.67517185,0.65641546,0.66112924,0.6834867,0.6980169,0.67451507,0.60083085,0.49575126,0.39282346,0.32122555,0.28745213,0.28333536,0.2948884,0.31329942,0.33325323,0.35226572,0.36705813,0.37382838,0.3674171,0.34579635,0.31229246,0.2780275,0.25525537,0.25125816,0.26263598,0.27949235,0.2928758,0.30064535,0.3063946,0.3131362,0.3201948,0.32485852,0.3270975,0.32987678,0.33512986,0.34031034,0.3400813,0.33211926,0.32121596,0.31685498,0.32674873,0.35109413,0.38600305,0.4266603,0.47050962,0.5095439,0.53436446,0.537648,0.52599645,0.5122059,0.50689787,0.50853896,0.5072149,0.49406898,0.4658829,0.42804703,0.387355,0.35206008,0.32581136,0.3106607,0.3037527,0.30133408,0.29890764,0.29594997,0.29709473,0.3107643,0.34263742,0.38670924,0.42531565,0.43809107,0.41794017,0.3757261,0.3341432,0.313748,0.3246438,0.36393,0.41755167,0.464631,0.48543227,0.46967876,0.42206994,0.3583158,0.2981296,0.2541068,0.22952972,0.22029488,0.22433734,0.24450476,0.2854858,0.34666336,0.41837633,0.48663124,0.5370648,0.5620957,0.5591195,0.53313607,0.491055,0.44300458,0.39709803,0.35996425,0.33228305,0.31065083,0.28974858,0.26814058,0.2493173,0.23919867,0.24124081,0.25315908,0.2680489,0.27682602,0.27440402,0.2613239,0.24527508,0.23492657,0.23697902,0.25218055,0.27765155,0.3073181,0.33397207,0.34961346,0.34903693,0.33199525,0.30446017,0.27518365,0.2524538,0.24084525,0.24033128,0.24645746,0.2524674,0.25380823,0.25174415,0.25419593,0.27018252,0.30302134,0.345489,0.38281497,0.40089655,0.3954586,0.37510467,0.35581246,0.35011598,0.36029518,0.3791696,0.39896202,0.41577813,0.43010798,0.4407655,0.44459024,0.4389069,0.42584947,0.41068855,0.39667323,0.38331607,0.36964896,0.35927892,0.3571024,0.36336505,0.36985067,0.36820412,0.3576758,0.34850264,0.35179278,0.37241772,0.40493834,0.4400191,0.46777764,0.48178843,0.47923622,0.46248016,0.43760106,0.41222695,0.39332795,0.38556287,0.3904685,0.40546855,0.4253461,0.4445846,0.45790967,0.4625293,0.45680574,0.44466898,0.43160138,0.42506373,0.42712045,0.4355897,0.4443353,0.45005643,0.4520811,0.45103326,0.4429977,0.424212,0.3943421,0.36342838,0.3457167,0.3543214,0.39156803,0.44859815,0.5089736,0.5570876,0.5840753,0.5882542,0.57288146,0.54399514,0.51150054,0.4889002,0.48855123,0.51364595,0.5542751,0.59230137,0.613542,0.61607903,0.61003804,0.6058371,0.60491276,0.59788346,0.57475215,0.53477615,0.4894931,0.45569548,0.44331732,0.44934165,0.4615238,0.47226596,0.48364046,0.5011178,0.5188985,0.5205838,0.49075553,0.43086982,0.3580754,0.29582602,0.2600688,0.2551769,0.27319184,0.29881647,0.31521323,0.31395853,0.2996368,0.2867738,0.28646782,0.29793346,0.30990872,0.31403363,0.31296137,0.3188059,0.34145448,0.3819325,0.4330221,0.4847304,0.5272271,0.55168104,0.5528912,0.5323422,0.49776205,0.46001306,0.426631,0.40310165,0.38998592,0.3881718,0.39311263,0.40013954,0.4017625,0.39689016,0.38816002,0.38276613,0.384523,0.39405516,0.4086933,0.42665124,0.44655505,0.46749258,0.48643926,0.49950877,0.5021549,0.49283957,0.47271845,0.44640824,0.41909918,0.3969874,0.384693,0.38688818,0.4058732,0.4433919,0.49250865,0.5387135,0.55971515,0.54377216,0.4937363,0.42970523,0.37188813,0.3344696,0.31921002,0.32057273,0.3287521,0.33572984,0.3383125,0.33829892,0.3389869,0.341947,0.34605423,0.34994844,0.35278806,0.35522366,0.3562841,0.35507894,0.34983048,0.34180033,0.3319882,0.32288373,0.31596673,0.31570682,0.32592788,0.34812748,0.37633368,0.40099952,0.41413605,0.41545713,0.41170537,0.41205445,0.42368802,0.4483125,0.48174205,0.5131591,0.52861494,0.51768744,0.48000708,0.4277326,0.37795615,0.3443136,0.32892975,0.32516035,0.32345986,0.3192856,0.31450498,0.31488538,0.32429984,0.3424487,0.3641552,0.3844705,0.400135,0.41298497,0.42494428,0.4376863,0.4479222,0.45175055,0.4438999,0.42352867,0.3925482,0.35837755,0.32856822,0.30939057,0.30163765,0.30217028,0.3053646,0.30638877,0.30393046,0.30128703,0.30422136,0.3167936,0.33724383,0.35908058,0.3735532,0.3757731,0.3670167,0.35492453,0.3480312,0.34863558,0.35164806,0.34665087,0.32765138,0.29397687,0.25293484,0.2128846,0.18290257,0.16747242,0.16713327,0.17765123,0.1937954,0.2115456,0.22937864,0.24606733,0.26005504,0.26810887,0.26898885,0.2626001,0.25204894,0.23865652,0.22377735,0.20815809,0.19743194,0.19935732,0.2210087,0.2619521,0.31545368,0.3714007,0.42106465,0.45792463,0.4769753,0.47627556,0.4575604,0.42742932,0.3932694,0.3601388,0.3291196,0.29864803,0.26886174,0.24191447,0.223248,0.21688254,0.22407533,0.24014379,0.25696626,0.26594695,0.26266316,0.24866629,0.23061103,0.21636806,0.21034174,0.21063624,0.21035695,0.20254897,0.18510844,0.1622551,0.14156933,0.12892309,0.12551068,0.12751938,0.12979384,0.12824275,0.12266617,0.115294926,0.109630786,0.10699738,0.10651236,0.10608008,0.105492204,0.10639036,0.11078656,0.118193865,0.12626553,0.13212152,0.13512708,0.13647611,0.1381941,0.1405683,0.14173687,0.13906406,0.13173915,0.12174509,0.112525366,0.10630679,0.10344357,0.10268705,0.103171,0.10390187,0.10395098,0.101861306,0.097116806,0.09065775,0.08427609,0.07941116,0.07630581,0.07521586,0.07628735,0.07959947,0.0835588,0.08630302,0.08639085,0.0845766,0.08227671,0.081221335,0.08216166,0.085206054,0.0891889,0.09224259,0.092912264,0.09168591,0.090791546,0.09254638,0.09747084,0.10480532,0.114302956,0.12800659,0.14816381,0.17450266,0.20202208,0.2243061,0.23723565,0.24205153,0.24409886,0.24919732,0.26073974,0.2768785,0.2938851,0.30733564,0.3170714,0.3231467,0.32817626,0.33414456,0.3485618,0.37812498,0.42562234,0.48142934,0.5293873,0.55738837,0.56442314,0.56118417,0.5569343,0.5579965,0.56064177,0.5618803,0.55693907,0.5481971,0.53811765,0.5330151,0.535445,0.5464778,0.56092197,0.5735776,0.58042413,0.5836769,0.5867827,0.5961452,0.61724544,0.6557989,0.7067298,0.7551713,0.7797463,0.77167225,0.7363808,0.690449,0.64383054,0.60207146,0.5679484,0.550039,0.5513323,0.5642984,0.57152605,0.5608773,0.534733,0.50395983,0.47849703,0.45908546,0.44378567,0.42986044,0.41717872,0.40693244,0.40319237,0.41321453,0.44142267,0.48534307,0.53307605,0.5726478,0.59870553,0.61820364,0.64111507,0.6739857,0.7081147,0.7285049,0.71843266,0.67928267,0.62456745,0.5773155,0.5473962,0.5322668,0.5174253,0.4943612,0.46300206,0.43358088,0.4156963,0.41534543,0.43011248,0.4535931,0.47618827,0.4918143,0.49723804,0.495347,0.48823476,0.47858557,0.464296,0.4457887,0.42312333,0.40040112,0.37971392,0.3647251,0.35834178,0.36492765,0.3854597,0.41859075,0.4596157,0.50362426,0.5418579,0.5641957,0.5612385,0.53300816,0.4876888,0.4379169,0.3925295,0.35674366,0.33401194,0.32874382,0.34275904,0.37133333,0.40098146,0.41599998,0.40602282,0.37300065,0.32708725,0.2821218,0.24817361,0.23097064,0.22903864,0.23638815,0.24500234,0.25186726,0.25930533,0.2721573,0.2900332,0.30643165,0.31322718,0.3085604,0.29887673,0.2929784,0.29488575,0.30149433,0.308388,0.31484976,0.3250518,0.3419722,0.36483768,0.38839328,0.4098178,0.42974973,0.4513731,0.4743406,0.49418244,0.5078816,0.5164845,0.5240497,0.5274615,0.5182438,0.48796394,0.44060418,0.38967228,0.3491584,0.3225616,0.30396566,0.2877625,0.27529085,0.2727332,0.28192532,0.29676697,0.30844966,0.31199333,0.3084229,0.29864642,0.28229892,0.25823295,0.22989197,0.20322014,0.18466286,0.17782499,0.18357103,0.19928837,0.21821927,0.23294769,0.24028277,0.24461989,0.25275877,0.26592782,0.2773097,0.27808487,0.26792812,0.2550868,0.2496744,0.2540555,0.26684642,0.28988123,0.33106932,0.39274505,0.46111014,0.5091818,0.5143898,0.47633228,0.41622674,0.36257136,0.33246267,0.32786718,0.34175968,0.3670926,0.3971471,0.422128,0.42952964,0.41083625,0.3687297,0.31718123,0.27472612,0.25457382,0.25993282,0.28325966,0.31407937,0.34303486,0.3683771,0.3901796,0.41032615,0.4257224,0.4338322,0.43239257,0.4253633,0.4200554,0.42287526,0.43292356,0.44143006,0.4417123,0.4363214,0.43626872,0.44776836,0.46492875,0.47488537,0.47114387,0.4605824,0.4579983,0.4734148,0.50599116,0.5425444,0.5690313,0.573056,0.5542081,0.5177378,0.47807038,0.4464419,0.43104473,0.43118456,0.44515994,0.470327,0.50514287,0.5423513,0.5709881,0.5763753,0.5520866,0.5012134,0.44073722,0.38742533,0.35250482,0.33468184,0.32957074,0.33315405,0.3434647,0.35579374,0.3627758,0.35890317,0.34353462,0.32086587,0.29641378,0.27683267,0.2685349,0.27511728,0.29306537,0.3132157,0.32770607,0.33726212,0.3483509,0.36448696,0.37789142,0.3771362,0.35852635,0.33421206,0.31988987,0.3211145,0.32882932,0.3328534,0.33377847,0.3403715,0.3573742,0.3778937,0.39137316,0.39279416,0.388136,0.38817295,0.40438128,0.44057098,0.48922405,0.52915263,0.53864455,0.5103757,0.45979312,0.41228458,0.38464925,0.3739806,0.36695108,0.35541487,0.34559914,0.34837988,0.3649932,0.38136873,0.38192594,0.36747086,0.36001214,0.3865666,0.45484424,0.5436127,0.6133569,0.63260144,0.59563184,0.5247979,0.45325133,0.40408492,0.3803843,0.36921287,0.35830593,0.34278497,0.3268728,0.31373656,0.3038062,0.29473996,0.28587118,0.27790967,0.27097943,0.2636932,0.25485748,0.24564193,0.23986709,0.24221309,0.25558874,0.2797437,0.30943432,0.3376292,0.3573934,0.367515,0.36908948,0.3640366,0.35037795,0.32681677,0.2955632,0.26476786,0.24392955,0.23900439,0.2492251,0.26773477,0.28556737,0.29533014,0.29510617,0.28720358,0.2768742,0.26794687,0.26276156,0.26208207,0.26745275,0.28142905,0.30516583,0.3362582,0.3669488,0.38928756,0.39766368,0.39209867,0.37338364,0.3430854,0.30360618,0.26208124,0.2280206,0.20845048,0.20381956,0.20788383,0.21077861,0.20314305,0.18138349,0.15082677,0.12252585,0.10539281,0.100134134,0.101105094,0.10279244,0.1038925,0.1053434,0.10643228,0.10417984,0.09698725,0.08692959,0.078376144,0.0739109,0.07328498,0.07488098,0.07836372,0.08368978,0.08981118,0.09303989,0.090236604,0.080829956,0.06882287,0.059267372,0.05546716,0.05628476,0.058050916,0.057221252,0.05298212,0.04677759,0.040866,0.036829937,0.035586745,0.03714122,0.04058433,0.04411326,0.046171978,0.046155725,0.04466322,0.042636927,0.040849905,0.039349243,0.037679438,0.035214037,0.03165355,0.027353883,0.023201367,0.02054882,0.020633541,0.024275169,0.03144893,0.041602645,0.053478133,0.06544023,0.07538941,0.08250806,0.08738503,0.091968216,0.09700948,0.10227811,0.10701677,0.11115863,0.11401391,0.1138283,0.10947206,0.10284912,0.099631645,0.10540688,0.12280848,0.14882012,0.17868723,0.20749094,0.23429179,0.25840172,0.2805173,0.2990291,0.31435958,0.326101,0.33666256,0.34748414,0.36135435,0.37871924,0.3992459,0.42100784,0.44127965,0.45728815,0.46608183,0.4688209,0.4685255,0.47177824,0.48158228,0.50013983,0.52342373,0.5465863,0.5605474,0.5606411,0.5445246,0.51788956,0.48766145,0.46283218,0.4465438,0.43701997,0.427956,0.41669202,0.40772116,0.40889552,0.42223677,0.4387217,0.44336447,0.42639765,0.38906428,0.34273353,0.30005622,0.27041498,0.25582924,0.2543505,0.26235047,0.2803432,0.30930266,0.34839264,0.3870244,0.41343352,0.4180106,0.4036359,0.37709296,0.3463113,0.31357244,0.28060907,0.25213394,0.2362544,0.2399565,0.2625825,0.29576764,0.32726428,0.34700772,0.35172132,0.34476998,0.33485493,0.3294144,0.33310166,0.34607193,0.36818266,0.3982139,0.43429622,0.47143254,0.5026014,0.5200437,0.51963425,0.5036126,0.47994956,0.45641813,0.43725887,0.42276934,0.4130875,0.4053479,0.39603677,0.38378885,0.37826076,0.39270654,0.43112195,0.47892228,0.51347274,0.5228466,0.511851,0.49553785,0.48477712,0.48214653,0.48037875,0.46785882,0.43566093,0.38653734,0.3364484,0.3046608,0.30224738,0.32564926,0.36199403,0.39468002,0.4106181,0.4028164,0.3747588,0.33918366,0.31385398,0.31071958,0.3289475,0.35462558,0.37217116,0.37366235,0.36348295,0.35136953,0.34817967,0.36010146,0.3890643,0.42998186,0.47351965,0.5097835,0.5322667,0.5403783,0.5339474,0.514188,0.47839677,0.42824507,0.36741677,0.30825675,0.26328704,0.243324,0.24838412,0.2704469,0.2968519,0.3191867,0.33419243,0.34190163,0.3405029,0.32899868,0.30977622,0.29070684,0.27914637,0.27882984,0.28986907,0.3140807,0.3544556,0.41043285,0.470175,0.5148361,0.52862793,0.51279646,0.48220226,0.45514676,0.43854567,0.4282019,0.4145485,0.39164817,0.36032912,0.32770172,0.3028846,0.2909764,0.28956062,0.2935108,0.30152896,0.31985965,0.35262978,0.394182,0.4268923,0.43587422,0.41991386,0.3950862,0.37930846,0.38159823,0.39478433,0.40688482,0.40658006,0.3919511,0.36515716,0.33283183,0.30112302,0.27758268,0.26825115,0.2757947,0.29622456,0.31970263,0.33621192,0.3412721,0.33856198,0.33546945,0.3377124,0.34670797,0.36166784,0.3823756,0.40773037,0.43316182,0.4493244,0.44781145,0.42596224,0.39100793,0.35446146,0.3283681,0.31647724,0.31740806,0.323733,0.3323792,0.3408641,0.35058072,0.35807434,0.36119673,0.35913017,0.35874793,0.36889467,0.393958,0.4288529,0.46000767,0.47553143,0.46919048,0.44630143,0.41595697,0.38900134,0.36833236,0.35145545,0.33193818,0.3077763,0.2829167,0.26560235,0.26390064,0.2820764,0.31864312,0.36672452,0.41602072,0.45998168,0.4956235,0.5254185,0.54742986,0.5598597,0.5583773,0.5471032,0.5322498,0.52211994,0.51591825,0.5063953,0.4815354,0.43501163,0.3697535,0.29984763,0.24281572,0.21161397,0.20687419,0.21993254,0.24020635,0.26294145,0.28789842,0.31366494,0.3341973,0.34201846,0.33569327,0.32227877,0.31271747,0.31198144,0.31478122,0.3113499,0.29697838,0.27628097,0.25643006,0.24117605,0.23007794,0.22419415,0.22727501,0.24202532,0.26648298,0.29363635,0.31604668,0.3266503,0.3236524,0.30976078,0.29660717,0.29637685,0.31819484,0.35666683,0.39617145,0.41430902,0.3990077,0.35447696,0.30396336,0.27294305,0.2764441,0.30896518,0.35399672,0.391863,0.40996906,0.4013033,0.36807287,0.31994215,0.27286756,0.2392572,0.22169167,0.21317594,0.20512529,0.19345908,0.17900269,0.16411698,0.15184528,0.14502269,0.14535685,0.15077074,0.15626226,0.15719707,0.15225963,0.14436269,0.13764913,0.13471378,0.13377671,0.1305895,0.1219619,0.1089077,0.09574521,0.08693781,0.0850189,0.09046003,0.10342288,0.12450316,0.15478158,0.19290347,0.23495369,0.27520728,0.3102449,0.33702186,0.3518766,0.3515481,0.33972383,0.3276527,0.32623866,0.33809268,0.3590568,0.38469672,0.41229287,0.43529478,0.44615927,0.44405898,0.44304633,0.4604913,0.5006058,0.545137,0.56592375,0.54549265,0.48940697,0.42145348,0.36711302,0.33946636,0.3356131,0.3439707,0.35373262,0.35962236,0.36068264,0.35873505,0.3560572,0.3561853,0.35858047,0.36025265,0.35339138,0.3360263,0.31191912,0.29497635,0.2962249,0.3200357,0.35556304,0.3868762,0.39849934,0.38787794,0.3626213,0.33758855,0.32400227,0.32446092,0.33170995,0.3336784,0.32246757,0.29895055,0.2725004,0.2540681,0.25055456,0.263575,0.28940904,0.32156578,0.34952363,0.3641125,0.35894692,0.3360168,0.3019189,0.26679793,0.23877294,0.22266573,0.21796216,0.22001736,0.22436899,0.23016639,0.24148749,0.26163065,0.2890458,0.31533894,0.33110917,0.33044386,0.31457916,0.28841373,0.25838652,0.22883613,0.20335704,0.18376537,0.17129041,0.16491228,0.1629255,0.16269517,0.16293031,0.16236508,0.16120417,0.1591792,0.15751489,0.15652888,0.15680021,0.15712763,0.157037,0.15667759,0.15787585,0.16161478,0.16727366,0.17232458,0.17464292,0.17326914,0.16890718,0.16269743,0.15636736,0.15158355,0.1498519,0.15134446,0.1546992,0.15781236,0.1589343,0.15803306,0.15557466,0.15286657,0.15038551,0.1495201,0.15069239,0.1544631,0.15939553,0.16428725,0.16761054,0.16956644,0.17040122,0.17062908,0.16956632,0.16638452,0.1605227,0.15312557,0.14722417,0.14762099,0.15904987,0.18431687,0.222983,0.27265835,0.33112904,0.39597943,0.46284315,0.5227317,0.56629777,0.5868977,0.58493954,0.56435555,0.531149,0.49253455,0.45647803,0.43177655,0.42012945,0.4191818,0.42076766,0.42371717,0.4295961,0.44433233,0.46629333,0.49006772,0.50717473,0.5155894,0.51572365,0.50868875,0.49145338,0.46427658,0.4329965,0.407377,0.39275756,0.38610995,0.3807079,0.37046456,0.35620844,0.34241557,0.33655956,0.34219027,0.36122403,0.39290324,0.43755755,0.49160996,0.54784304,0.59441495,0.6220586,0.62646776,0.6108711,0.58260816,0.552238,0.53028435,0.52539843,0.5391577,0.5662267,0.5970835,0.628148,0.66251165,0.706968,0.7582689,0.80362964,0.82473326,0.81316024,0.77287155,0.7180672,0.66371244,0.6190123,0.5888336,0.5738821,0.5756193,0.5902454,0.6099524,0.6224362,0.6217742,0.6120622,0.6066572,0.61578584,0.6399556,0.66673803,0.68166137,0.67362803,0.6447496,0.60508937,0.57338834,0.56498057,0.58937526,0.63933253,0.6964728,0.7367978,0.7486468,0.73821217,0.7273715,0.7358024,0.76591396,0.79899645,0.8094909,0.78465605,0.7334723,0.6770665,0.630903,0.5947583,0.5576686,0.5106041,0.45454684,0.40098,0.36397758,0.3556336,0.3767142,0.41936556,0.46455893,0.4974115,0.5069115,0.49468306,0.46412635,0.42465684,0.3844976,0.35348883,0.33620965,0.33481705,0.34916976,0.37856993,0.41905022,0.46233496,0.49968195,0.5252907,0.5397372,0.5470524,0.5544478,0.56835026,0.5933335,0.6289844,0.66945285,0.7037816,0.71593183,0.69123554,0.62412876,0.5296146,0.43898538,0.38691545,0.38982943,0.4382445,0.5026749,0.5514388,0.56556946,0.5441014,0.5002867,0.4541732,0.42434692,0.4233683,0.45164752,0.4994812,0.5462594,0.570836,0.55634284,0.5033437,0.4286135,0.3607477,0.3214974,0.3174391,0.33996096,0.3791593,0.43073416,0.49468985,0.56501085,0.6257557,0.65711266,0.64706844,0.59982806,0.53121334,0.4603641,0.4004248,0.3602259,0.34511364,0.35764623,0.39100325,0.42972422,0.45513225,0.45708394,0.43587613,0.3991518,0.35480604,0.31014022,0.27194977,0.24709533,0.24195452,0.26275948,0.312615,0.38552436,0.46096945,0.51139015,0.51792115,0.48461863,0.4336153,0.38823092,0.35830018,0.34023455,0.32615992,0.31137726,0.29652825,0.2862722,0.2849642,0.29338092,0.30758253,0.3244535,0.34288678,0.36286494,0.38008037,0.38991562,0.3890858,0.3800951,0.36425793,0.34321854,0.31528753,0.2829131,0.25133,0.23091514,0.23046863,0.2522307,0.2899264,0.33077216,0.36347172,0.3797842,0.37858835,0.3627201,0.3400602,0.31898358,0.30536926,0.29897192,0.293313,0.28130698,0.2592468,0.23164444,0.20757829,0.1972831,0.20468302,0.22524607,0.24721038,0.25891373,0.2545828,0.23738147,0.21618457,0.20306121,0.20726113,0.23168755,0.2688378,0.30493107,0.3272114,0.33131948,0.32236138,0.30963442,0.30066422,0.29688916,0.29538146,0.29247725,0.2876459,0.2830902,0.28090858,0.28102782,0.28193662,0.28341767,0.28757742,0.2973193,0.31335196,0.33191428,0.34556141,0.34591398,0.32862595,0.29662415,0.26031116,0.2322277,0.21978994,0.22152674,0.2301169,0.23966508,0.2495284,0.26290122,0.28199545,0.30616018,0.3319007,0.35444602,0.36778522,0.3669808,0.35082376,0.324962,0.29982898,0.2858708,0.2879262,0.3038925,0.32712778,0.3490804,0.36141297,0.3567278,0.33305594,0.29668984,0.2620647,0.24347484,0.24643742,0.26516914,0.28802827,0.30629268,0.3169819,0.32213035,0.32453462,0.32615685,0.32631728,0.32190204,0.30925,0.28721908,0.2600458,0.2352652,0.22081952,0.21919239,0.22777557,0.23909181,0.2476999,0.25095475,0.251238,0.25027332,0.2488305,0.24514653,0.23998125,0.23755966,0.24492414,0.26556072,0.29613683,0.32697687,0.34854355,0.35525742,0.34866312,0.3338684,0.3189346,0.30855608,0.30520487,0.30579272,0.30789015,0.30921516,0.31225,0.319905,0.33433226,0.3530388,0.3705372,0.38213897,0.3867413,0.3881929,0.39067873,0.39704332,0.4048084,0.40951893,0.40512386,0.39030564,0.3677223,0.3467008,0.33694544,0.34600124,0.371838,0.40488648,0.4319571,0.44535148,0.44495115,0.43610096,0.4234908,0.4092988,0.39365828,0.37899837,0.37090898,0.37782684,0.40415016,0.44710478,0.49530378,0.5361404,0.55983037,0.5628062,0.5453709,0.51286787,0.4748039,0.44239905,0.42079285,0.40502176,0.38424227,0.3527014,0.3166771,0.28953552,0.28008258,0.2850042,0.2924278,0.29211485,0.28194258,0.26854056,0.26073566,0.26485276,0.2799615,0.29996145,0.31678724,0.32622528,0.32975307,0.3327398,0.34058478,0.35527048,0.37506795,0.39488837,0.40851405,0.41238162,0.40927747,0.40769604,0.41432047,0.42733884,0.4368746,0.43336,0.4145216,0.38568652,0.35500303,0.32911512,0.3108281,0.2987025,0.28755832,0.27170894,0.2484199,0.22056915,0.1951766,0.18017204,0.18008834,0.19397026,0.21548253,0.23571844,0.24739926,0.24774425,0.23947513,0.22860985,0.22234356,0.22606333,0.24184088,0.26811227,0.30113348,0.3368862,0.37014854,0.39439178,0.40307173,0.39456442,0.37392664,0.34908047,0.32514375,0.30186963,0.27828065,0.2565057,0.24225825,0.23996992,0.24857914,0.2615275,0.27006915,0.26869395,0.25755236,0.24281704,0.23298673,0.23499762,0.2503163,0.27378762,0.29601416,0.30869457,0.31076196,0.30848727,0.31015396,0.3178827,0.3261775,0.32697752,0.3165704,0.2972802,0.27367893,0.24897225,0.22470592,0.20321147,0.188496,0.18423401,0.1908608,0.20415644,0.21699637,0.22261305,0.21819456,0.20614634,0.19328481,0.18678348,0.19086353,0.20364766,0.21957576,0.23197712,0.23784304,0.23752342,0.23406439,0.23055188,0.22921704,0.23100793,0.23438309,0.2357492,0.22996885,0.21499936,0.19352877,0.17310639,0.16049294,0.15769608,0.16056429,0.16186242,0.15615559,0.14263621,0.12605692,0.11264213,0.106252484,0.10545072,0.10594636,0.104535975,0.101231314,0.09823847,0.09671298,0.09617838,0.094807155,0.092212506,0.08965281,0.09012877,0.09504482,0.103520386,0.11177299,0.116974175,0.1178064,0.11557562,0.11167189,0.10803154,0.10602024,0.106131785,0.10688516,0.10548922,0.10027179,0.09162288,0.08207885,0.073992155,0.068864115,0.06668207,0.066477716,0.06682956,0.06643421,0.06512522,0.063340105,0.0618415,0.06034251,0.058259692,0.055012066,0.05114579,0.04762998,0.045580897,0.045133326,0.045494344,0.044918228,0.042171344,0.037542474,0.033015694,0.030723998,0.031372774,0.03414056,0.037467595,0.03989661,0.04026507,0.038086597,0.03408306,0.03004559,0.028018069]