[0.020072049,0.035005346,0.07363515,0.13738275,0.22133015,0.31032857,0.38005745,0.4092069,0.39477932,0.3553618,0.32078585,0.30988014,0.32371417,0.3481805,0.37231648,0.39484203,0.419737,0.44253218,0.44474864,0.41224965,0.35151112,0.29414514,0.2683195,0.27749005,0.29968807,0.31466198,0.32255283,0.33535138,0.35371795,0.35779238,0.32573962,0.25782526,0.18196821,0.13691454,0.14724135,0.21061313,0.29869008,0.37510523,0.41390535,0.4104688,0.37598637,0.32577038,0.2734613,0.23099159,0.21069817,0.22374482,0.27347746,0.3489274,0.42045394,0.4539329,0.43014848,0.35919258,0.2699031,0.18953265,0.13026193,0.0915995,0.06921709,0.059231013,0.057488624,0.05912234,0.060654685,0.062571116,0.067743026,0.077176005,0.08674555,0.089395545,0.080632664,0.062292803,0.04097926,0.02322509,0.011949512,0.0063341144,0.0040082284,0.0029732229,0.002338706,0.0020019603,0.0021259103,0.003300935,0.008040306,0.0222703,0.054280534,0.10897696,0.18266483,0.26109204,0.32558015,0.35810184,0.35018584,0.30593514,0.24590535,0.19533648,0.17262016,0.17772017,0.20051278,0.23015833,0.26462772,0.30314317,0.34117368,0.3642069,0.35888436,0.32184938,0.26994058,0.2299925,0.22149342,0.23963614,0.26125166,0.26772034,0.26393172,0.26984012,0.29619518,0.32823345,0.3402771,0.3182044,0.2725716,0.22562523,0.19376707,0.17758413,0.16653971,0.15029357,0.12486457,0.0940755,0.06374478,0.03902718,0.021666573,0.011478581,0.006569501,0.004854484,0.00450718,0.004560759,0.00464692,0.0047061276,0.0047381357,0.004751857,0.004757948,0.00480914,0.0058377623,0.010576858,0.023849495,0.04893456,0.08491098,0.12633716,0.16952819,0.21268164,0.2516099,0.2746483,0.27021703,0.24006541,0.1999292,0.16943783,0.15554531,0.15578218,0.16181493,0.16949345,0.17416842,0.17272343,0.16133194,0.13995115,0.11144579,0.08133446,0.05461887,0.034128506,0.020222055,0.011758064,0.0072800866,0.0053379214,0.0047430536,0.004626417,0.0045545516,0.004782146,0.0070088133,0.014710379,0.03170808,0.058156163,0.08885819,0.115028165,0.1312996,0.13861658,0.14440723,0.15671158,0.17987089,0.21061109,0.24018933,0.2621962,0.27849245,0.2987822,0.32807755,0.36265373,0.38804352,0.39173606,0.36545768,0.31500506,0.25539246,0.20661135,0.17897128,0.17129771,0.17929743,0.20215599,0.2392383,0.2774419,0.29882914,0.29545012,0.28264546,0.28090122,0.29348975,0.29900575,0.27510872,0.22266853,0.1669566,0.13441907,0.13232808,0.14862303,0.16785812,0.1826449,0.1943711,0.2045842,0.21036698,0.20413043,0.18083052,0.14340097,0.104327,0.078668036,0.07612615,0.09673184,0.13395004,0.1806125,0.23123415,0.27923182,0.31200266,0.31534776,0.28386527,0.2317252,0.18677919,0.17496693,0.20266779,0.25433144,0.30183563,0.3218511,0.3072882,0.26919368,0.22679926,0.19619901,0.18407102,0.18801826,0.19901668,0.20473222,0.19667597,0.1771458,0.15903695,0.1558273,0.17001648,0.19071276,0.20222777,0.19610554,0.17770503,0.16040985,0.15687408,0.17003614,0.1955359,0.22299944,0.24257118,0.24700235,0.23730434,0.21970414,0.20110644,0.18453121,0.17295516,0.17116316,0.18097027,0.19374806,0.19360276,0.17224954,0.13872808,0.11472774,0.1155409,0.13982962,0.16989009,0.18764235,0.1834312,0.16160162,0.13197935,0.10582232,0.08841989,0.08032111,0.076090455,0.069986016,0.058363516,0.042932358,0.027584905,0.015980003,0.00899838,0.005724346,0.0045011523,0.004133622,0.0040009916,0.0039304434,0.003925164,0.004011056,0.004180281,0.004382191,0.0045594745,0.004674675,0.004729416,0.0047457977,0.0047483444,0.0047486965,0.004761435,0.0051717246,0.0074014612,0.015616053,0.03667764,0.07784053,0.13878457,0.20696616,0.25980878,0.2790011,0.2622482,0.22463672,0.18690604,0.16458389,0.1644693,0.18862958,0.23453939,0.2942193,0.35029957,0.38323247,0.37908256,0.3406119,0.2829061,0.2244721,0.17432137,0.13279381,0.09663413,0.06743728,0.051775005,0.059797037,0.09731556,0.15894742,0.22293265,0.2614268,0.2571842,0.2185583,0.17270708,0.14728759,0.15078554,0.17183687,0.19051369,0.1939171,0.18084015,0.15816884,0.13351256,0.11217152,0.099514864,0.10427702,0.13748701,0.20310076,0.28839695,0.36415216,0.39953342,0.38144195,0.3226879,0.25422177,0.20651616,0.19527668,0.21495378,0.24515004,0.2609721,0.24870999,0.21258026,0.17466639,0.15574382,0.16226369,0.17764668,0.18208127,0.16619392,0.14414953,0.13877386,0.16577877,0.2163109,0.26218402,0.2754209,0.25059387,0.20624997,0.16751523,0.146173,0.14006536,0.14241236,0.14977235,0.15851365,0.16209608,0.15523952,0.13879557,0.119714044,0.10286995,0.08830642,0.07245207,0.054247867,0.035799585,0.02085322,0.011261824,0.006617833,0.0050147083,0.0047103814,0.0045889565,0.004216461,0.003526791,0.0028903123,0.003583486,0.008476068,0.022747537,0.051487077,0.096440375,0.15039341,0.20054312,0.23399608,0.24923973,0.25483155,0.26473665,0.28813514,0.32478884,0.36433947,0.3874617,0.37850645,0.33534124,0.27645093,0.22518444,0.19448358,0.17925644,0.16957758,0.16195017,0.16102806,0.16738658,0.17488386,0.17657351,0.17824803,0.19352178,0.22918475,0.27245036,0.30189383,0.31058457,0.31341854,0.3309318,0.36301374,0.38892725,0.385622,0.34984168,0.29610953,0.24279909,0.19873667,0.16246785,0.12904154,0.09634337,0.06715785,0.04668659,0.038216595,0.041142914,0.051552843,0.06785586,0.0933905,0.13576603,0.19603264,0.26239386,0.31075057,0.32043043,0.28634942,0.22244751,0.15088849,0.08994457,0.047711555,0.023103537,0.011060282,0.0060755387,0.0056564608,0.012287247,0.034192827,0.07873614,0.14189392,0.2053053,0.25042588,0.27783242,0.30507067,0.34230578,0.37177742,0.3630834,0.30481473,0.22078834,0.14797048,0.10847017,0.097910054,0.101292916,0.10893651,0.122333705,0.14478429,0.17248899,0.19449009,0.20244467,0.20003343,0.19900177,0.20725192,0.21930884,0.22222833,0.20773588,0.18081243,0.15504646,0.14216669,0.14219373,0.14495808,0.13746823,0.114951454,0.08218806,0.049809366,0.025693389,0.012058546,0.0063354555,0.005284246,0.0074355938,0.013417796,0.024445163,0.0411194,0.061799843,0.083178006,0.09979471,0.10810658,0.10806414,0.10716959,0.1155232,0.14027284,0.17637111,0.20833361,0.22077121,0.21333681,0.20575923,0.22169018,0.2683822,0.32297468,0.35130826,0.331941,0.2784644,0.22715037,0.21316648,0.24314182,0.29407254,0.32996428,0.32657483,0.28214914,0.21334298,0.14151399,0.08259217,0.04262993,0.020769326,0.013938145,0.021283345,0.043986633,0.083642416,0.1404037,0.21151404,0.2863281,0.34473714,0.36567652,0.3457192,0.3047891,0.27190402,0.26029,0.2630262,0.26721725,0.27015558,0.27642703,0.28530037,0.28611082,0.26727635,0.22822088,0.18093778,0.14273609,0.12810667,0.14435415,0.18765843,0.24258399,0.28854612,0.3154972,0.32982898,0.3458008,0.3662891,0.37927863,0.3685613,0.33004776,0.27368182,0.21516995,0.16546491,0.12654527,0.09521779,0.06777757,0.044174895,0.025878923,0.014090177,0.0077943527,0.00511083,0.0042069503,0.0040323446,0.0040926184,0.0042095575,0.004297867,0.0046591884,0.006655952,0.013913542,0.031488877,0.06443061,0.11355875,0.17566688,0.24117713,0.29848817,0.33328426,0.33824348,0.31330058,0.27112553,0.22811924,0.20364517,0.2088365,0.24281895,0.28549287,0.30932882,0.29538545,0.2486491,0.19204994,0.15056473,0.13694279,0.15052183,0.18293793,0.22219265,0.25589395,0.27543926,0.28175095,0.28514156,0.29879272,0.329286,0.37065735,0.404935,0.41266418,0.38695154,0.3414475,0.29974055,0.27602008,0.26364684,0.24426866,0.20700753,0.15971781,0.123917796,0.118412234,0.14569475,0.18866722,0.22190876,0.22710846,0.20393251,0.1658601,0.12884842,0.10116393,0.083739795,0.0769966,0.08554206,0.11421839,0.15817432,0.19954836,0.21826543,0.20915948,0.18798871,0.17846161,0.19238974,0.22133331,0.24436231,0.2435895,0.21388392,0.16357875,0.10793204,0.060778294,0.029221259,0.012588256,0.006034657,0.0044684075,0.0062580095,0.014611594,0.037112113,0.07929421,0.13704202,0.19239314,0.22360061,0.21902347,0.18641926,0.14459437,0.11110008,0.09297041,0.08949021,0.09521663,0.10396396,0.10966682,0.111551784,0.114209704,0.12427301,0.14182474,0.15867229,0.16325651,0.14912517,0.118976794,0.08200685,0.048556704,0.024765668,0.011561431,0.0059430855,0.004679357,0.006691376,0.014872444,0.034492288,0.06949452,0.11613941,0.1623355,0.19395332,0.20583332,0.2042361,0.19818377,0.19084533,0.18021955,0.16905232,0.16409957,0.16897392,0.17626296,0.17564787,0.16382237,0.1475857,0.13618016,0.13423848,0.14059472,0.15033917,0.15820573,0.1631385,0.17248945,0.19860582,0.24759169,0.3075237,0.35154662,0.3546352,0.3131697,0.24880147,0.1943648,0.17328872,0.18600993,0.21338153,0.23041151,0.22396213,0.19811404,0.16938756,0.15258084,0.1540308,0.16907455,0.18928415,0.2059503,0.21452098,0.21162681,0.19598131,0.1690452,0.13845752,0.1149981,0.10669851,0.11384868,0.13036521,0.14992963,0.17151028,0.19963717,0.237731,0.27977273,0.3095338,0.30957893,0.2738553,0.2116673,0.14176558,0.081543826,0.0400809,0.01728671,0.0075708167,0.004587626,0.0044139805,0.0075072553,0.018966885,0.046421915,0.0923587,0.1472683,0.19026071,0.20408238,0.18958919,0.16688877,0.1567614,0.16308677,0.17242514,0.17083599,0.15833272,0.14549153,0.14043301,0.13908894,0.13170643,0.11236226,0.08665976,0.0671597,0.068034,0.09574617,0.1469693,0.20798154,0.26694643,0.31905937,0.3684924,0.41248155,0.43899965,0.4305583,0.38359252,0.31070527,0.23432834,0.16989732,0.12130382,0.084140785,0.05442518,0.031487662,0.016272403,0.008235534,0.00506476,0.004182292,0.0040248525,0.003970013,0.00382272,0.0034832163,0.002961402,0.002448892,0.0022124185,0.0024153513,0.003313449,0.005655291,0.0133992,0.035001893,0.08415411,0.16789259,0.27684787,0.37791112,0.4359645,0.433568,0.3870032,0.32699737,0.28160533,0.26066354,0.26441026,0.28932083,0.33299994,0.38800332,0.44033536,0.47225758,0.4737451,0.44632518,0.4021624,0.353354,0.30919454,0.274728,0.25350598,0.24519987,0.24265029,0.23463325,0.21251564,0.17901422,0.14562327,0.1240364,0.11616244,0.11400769,0.107501455,0.091787755,0.06952814,0.04643361,0.027628222,0.015012638,0.008150999,0.0051765013,0.0042138062,0.003869897,0.003477217,0.0029073514,0.0023837779,0.00218163,0.0024110794,0.00292667,0.0041673365,0.009465125,0.026488425,0.064793855,0.12675126,0.20171201,0.26936746,0.31480753,0.33881143,0.35480246,0.3748677,0.39700487,0.4070051,0.38980484,0.34684744,0.29741645,0.26722574,0.26571843,0.28075334,0.28790984,0.2713783,0.23257071,0.18803938,0.15878607,0.15898164,0.18822785,0.23079109,0.26597372,0.2821165,0.2833481,0.28357196,0.2941321,0.31516442,0.3374182,0.34803808,0.33969995,0.31349102,0.27816764,0.24407737,0.2163829,0.19564098,0.1804625,0.17273122,0.17422889,0.18292749,0.19292511,0.19996269,0.2068464,0.21947955,0.23960924,0.26150715,0.27911317,0.29603732,0.32211563,0.36108422,0.3978323,0.40905026,0.3808181,0.32152957,0.25193524,0.18957989,0.14135624,0.10776967,0.08987507,0.08787871,0.09760351,0.108917795,0.112549484,0.10727206,0.101546265,0.10598714,0.122527026,0.14203472,0.15009902,0.13955851,0.11306212,0.08083579,0.051455457,0.029715767,0.01583098,0.008402375,0.0051699756,0.004154919,0.003956054,0.004419672,0.008088976,0.021747112,0.0555037,0.11447378,0.1898226,0.25655568,0.28978512,0.28326952,0.25682727,0.23942773,0.24629796,0.26821816,0.28135338,0.26959863,0.23908222,0.21664071,0.2276408,0.27507353,0.3331214,0.36740088,0.358512,0.31557265,0.26333073,0.22475089,0.20873787,0.21614225,0.24669845,0.29707325,0.35427544,0.39486387,0.40190378,0.37415087,0.32752025,0.27849543,0.23895718,0.21239237,0.198748,0.19307302,0.1899935,0.18676136,0.18602015,0.19093311,0.20207232,0.21678431,0.23344934,0.24950056,0.25995633,0.2565287,0.23783897,0.2113806,0.19016431,0.17720847,0.16657807,0.15031113,0.13229613,0.12403827,0.13405418,0.15835202,0.18319833,0.19791634,0.2018941,0.20553146,0.21996461,0.25031528,0.29222444,0.33540902,0.3684683,0.38071477,0.36537537,0.32229042,0.26445013,0.21090217,0.17657387,0.15992193,0.15196979,0.14672981,0.14837545,0.16134231,0.18366772,0.20581734,0.21862273,0.21869648,0.21181197,0.20854385,0.21588892,0.22986425,0.23977597,0.24036984,0.23939951,0.2503408,0.28044567,0.3231028,0.36259305,0.38033032,0.36495933,0.31992754,0.26840323,0.24326438,0.26514134,0.32260463,0.3748757,0.38033292,0.32727316,0.24242021,0.16694121,0.12696598,0.121148705,0.13658346,0.16935124,0.22610588,0.30603322,0.3830059,0.4190708,0.3931571,0.32489327,0.26041207,0.24170168,0.27664927,0.3369749,0.37654316,0.36202407,0.29216513,0.19534558,0.106923245,0.047687378,0.018009825,0.0071472735,0.004391181,0.0038292913,0.0034239457,0.0028102442,0.0021962484,0.0018742891,0.0020358255,0.0025612016,0.003219175,0.003956057,0.005144881,0.007451842,0.011199604,0.015816981,0.019722467,0.021264935,0.019769005,0.016093107,0.012716568,0.014011111,0.025773643,0.05202497,0.0902457,0.1322484,0.17205004,0.21285753,0.26041988,0.30841735,0.33771157,0.3343598,0.3102518,0.2928451,0.29761624,0.31104124,0.30977604,0.29261675,0.28370997,0.30896822,0.36291352,0.41561583,0.43357575,0.41010526,0.36212373,0.3219092,0.31380305,0.34335434,0.38711512,0.4087422,0.3839331,0.32380593,0.2630584,0.23027281,0.22357617,0.21940301,0.19711466,0.15786983,0.121370286,0.109799415,0.13204111,0.17760263,0.22472434,0.25580442,0.27146372,0.28581676,0.31146726,0.34386706,0.36653218,0.36209962,0.32536128,0.261669,0.1857918,0.113910966,0.059548263,0.026648037,0.011429957,0.0061554913,0.004941543,0.004767308,0.0047745616,0.004756467,0.0045885425,0.0041599255,0.003461491,0.0027382004,0.0023045046,0.0023641577,0.0027948155,0.0033275525,0.0037186549,0.003919847,0.0040085,0.0045018005,0.006857101,0.014009667,0.030574307,0.0614807,0.11038917,0.1741271,0.24247885,0.29933345,0.33522668,0.34977654,0.35162207,0.34619868,0.3350204,0.31559572,0.28640902,0.24654652,0.20030577,0.16178948,0.15262973,0.18921392,0.268479,0.36737487,0.45295057,0.4970409,0.4846339,0.418864,0.31885222,0.21231274,0.1228517,0.06190591,0.027915617,0.01265949,0.0071975035,0.0054449453,0.0043996437,0.0033665244,0.0027465324,0.0036738354,0.008087094,0.019222172,0.04074042,0.07517089,0.12050307,0.16784453,0.20303822,0.21558976,0.20902444,0.20150526,0.21193333,0.24449956,0.28679752,0.32565585,0.35801074,0.3874104,0.40689066,0.39895356,0.35134253,0.2789363,0.21778768,0.20250042,0.24040656,0.31329,0.39120364,0.45092127,0.47779918,0.46446708,0.40888047,0.31934053,0.2159375,0.123179495,0.058098722,0.022762174,0.008581022,0.0046399403,0.0040615033,0.0040607955,0.0039622337,0.0036024833,0.0029944482,0.002396443,0.00211463,0.0023241278,0.0028897042,0.0038100854,0.0061220056,0.0131020835,0.029412255,0.05805551,0.09678199,0.13857946,0.17659219,0.20674711,0.22796683,0.23696935,0.23282003,0.22006273,0.21619599,0.24259245,0.31109342,0.40781668,0.49453688,0.5298313,0.49453983,0.40369478,0.2919231,0.19130689,0.11648634,0.06706488,0.036524925,0.018820094,0.009646589,0.005562207,0.0038891442,0.0030700888,0.0028575303,0.0037143063,0.0059645786,0.009055217,0.011870138,0.015091094,0.023789192,0.047788832,0.09505057,0.16474392,0.24323826,0.3108363,0.34934342,0.35147837,0.3250369,0.2940686,0.28649554,0.3150252,0.36352578,0.39613846,0.38349774,0.3257012,0.25507218,0.21454036,0.22938943,0.2905645,0.36222577,0.40762007,0.40927032,0.3762435,0.32912323,0.28685173,0.25446823,0.22943275,0.20948046,0.20046224,0.20970494,0.2371115,0.27293774,0.30709007,0.33654165,0.3615533,0.37562343,0.3664641,0.32735476,0.2683504,0.21062942,0.17458315,0.16847087,0.18696368,0.21361063,0.2311744,0.23345555,0.2307719,0.2390678,0.26575598,0.3020074,0.3307878,0.3341798,0.3034992,0.24155475,0.16535802,0.09574485,0.04746121,0.021944605,0.012928828,0.014606877,0.02702094,0.055922147,0.10813882,0.18392809,0.2700685,0.34164643,0.37564003,0.3653582,0.32318875,0.26986864,0.22169608,0.18705927,0.16757889,0.16168736,0.16390456,0.16834909,0.16987236,0.1684827,0.16854936,0.17925411,0.20713578,0.24955134,0.29155287,0.3139116,0.30496857,0.26547804,0.20661135,0.14226338,0.08545796,0.04389322,0.019493353,0.008336425,0.004728407,0.0039156037,0.0036340225,0.0031909018,0.0026559485,0.0022894256,0.0023289754,0.0028065878,0.00353377,0.0043931114,0.0055648857,0.007430849,0.009953916,0.013119645,0.01960116,0.03741448,0.078607954,0.14855821,0.23904653,0.32727394,0.39256206,0.42381525,0.42520228,0.4087433,0.39434907,0.4016523,0.43670154,0.4817914,0.50513405,0.48936078,0.45017445,0.42351365,0.43223956,0.46128646,0.47420236,0.44813585,0.39876154,0.35902688,0.34449506,0.33791208,0.316962,0.28312558,0.26230446,0.27314892,0.30726197,0.3376365,0.3472372,0.3391092,0.32849964,0.3219903,0.31699607,0.30571303,0.28898457,0.27312264,0.27224448,0.29587305,0.343133,0.39015815,0.4073905,0.3800484,0.3268005,0.27819607,0.25267893,0.24295901,0.2357706,0.22603957,0.22049542,0.22346832,0.2325687,0.24288917,0.25596198,0.28037405,0.3196539,0.3641003,0.38880524,0.37299517,0.31191915,0.22467493,0.13757794,0.07226734,0.03453585,0.019969316,0.019080484,0.023750305,0.028009325,0.028655045,0.026298419,0.026007012,0.03849194,0.074718766,0.14187108,0.23201829,0.32466877,0.39070418,0.4148532,0.40176228,0.3744465,0.34922257,0.3280782,0.30409282,0.28269917,0.27756748,0.29438567,0.31427982,0.31207696,0.2802882,0.24059616,0.22039978,0.2291191,0.2497714,0.25904545,0.24498004,0.21509457,0.18272251,0.158973,0.14817385,0.15535809,0.18422742,0.2322241,0.28432465,0.31837308,0.316928,0.27856758,0.21911913,0.16261311,0.12684548,0.114495926,0.11666419,0.12452837,0.13719016,0.15729015,0.18311967,0.20770937,0.226678,0.24142694,0.25454125,0.26219678,0.2573097,0.23662944,0.20695823,0.1802917,0.1684599,0.17682727,0.20284598,0.2339596,0.25129846,0.23927264,0.19614309,0.1375492,0.0857749,0.056792904,0.05067819,0.056768347,0.06383037,0.0712912,0.08863455,0.12736778,0.18845893,0.26013845,0.32135165,0.35440156,0.35127506,0.32108486,0.28277954,0.2559022,0.24644406,0.24886477,0.25519586,0.26365483,0.27623174,0.29194033,0.30746317,0.3203486,0.33167768,0.34104905,0.3466743,0.34534153,0.33662626,0.3191146,0.29060557,0.24895512,0.19777079,0.14887094,0.11611331,0.108718075,0.12252054,0.14637376,0.16744672,0.1820748,0.19347318,0.21072382,0.2421685,0.29122508,0.3492496,0.39457187,0.4017724,0.35873088,0.27611187,0.18149962,0.101339586,0.048756797,0.021769775,0.012102656,0.011646863,0.015515186,0.020116983,0.022640781,0.021188771,0.01636713,0.010442265,0.005984649,0.0038276652,0.003436217,0.0036676575,0.003906287,0.0042679016,0.005724995,0.011299911,0.027130311,0.063277334,0.12775445,0.21901643,0.319055,0.40201175,0.44687834,0.44938493,0.41783312,0.36695203,0.31185424,0.2672781,0.24287742,0.24137305,0.2576432,0.28418583,0.3102613,0.32581785,0.32170734,0.298128,0.26409936,0.23690479,0.22915827,0.2406217,0.2553798,0.25728285,0.24516392,0.2359851,0.2489128,0.28709552,0.33236933,0.35628924,0.33853316,0.27932286,0.19804962,0.12002849,0.062329322,0.028366938,0.012317788,0.0061673806,0.004195287,0.0034305984,0.0028230397,0.0022361635,0.0019255937,0.0022142634,0.0035574625,0.00864753,0.024809271,0.06541589,0.14009999,0.2432019,0.3438704,0.40470684,0.40466657,0.36077252,0.30841124,0.27713752,0.26708773,0.2646611,0.25808856,0.25359324,0.2619739,0.2895285,0.32452592,0.3463067,0.33608925,0.29558367,0.24898408,0.2286676,0.25189486,0.30573782,0.35584125,0.36930966,0.33831167,0.2864,0.25028923,0.2544829,0.29263064,0.3382438,0.3624177,0.3516346,0.30897668,0.2541444,0.21817772,0.22817676,0.28889954,0.37248114,0.43842575,0.45832303,0.43407837,0.38567862,0.33325458,0.28434247,0.2395408,0.20235597,0.1814385,0.18490434,0.21149437,0.2519656,0.29164246,0.31821096,0.3211622,0.29634362,0.24720192,0.18836652,0.13927774,0.113793515,0.11135582,0.119011186,0.12202627,0.11400304,0.099067174,0.08595988,0.08045348,0.0821965,0.08814124,0.098616265,0.1200156,0.1595398,0.2155884,0.2718227,0.30444208,0.29765427,0.25744632,0.20855708,0.18049474,0.18957466,0.23131128,0.28234455,0.3134863,0.30719742,0.26747617,0.21615888,0.17481862,0.15425807,0.15087877,0.15584458,0.15912953,0.1566381,0.14990747,0.1450205,0.14666982,0.15809721,0.18517911,0.23435457,0.30451748,0.37655962,0.42359444,0.42562878,0.38472614,0.31807458,0.24774627,0.18838151,0.1445353,0.1134786,0.09120769,0.079880096,0.086374946,0.11977615,0.18098974,0.25990233,0.3314632,0.3685616,0.35617498,0.306298,0.24855667,0.21048313,0.19714063,0.19388948,0.18112129,0.15243083,0.11692968,0.093121804,0.09425252,0.12082323,0.15799785,0.18690746,0.1950829,0.18483175,0.16648851,0.15099812,0.14221476,0.13881308,0.13776086,0.13814084,0.14181422,0.14993054,0.16046424,0.16653095,0.16047047,0.1382232,0.10355279,0.06632473,0.037207942,0.021638043,0.018244492,0.021348113,0.0248766,0.02504201,0.022341996,0.022804148,0.038284242,0.08057166,0.15188242,0.23593526,0.30468193,0.33506116,0.3263607,0.2958716,0.26384762,0.23870414,0.22125606,0.211497,0.2113738,0.21686685,0.21849589,0.20903634,0.19369864,0.18473583,0.18931687,0.2006719,0.20511061,0.19398095,0.17033702,0.14502522,0.12746374,0.120922394,0.12338946,0.13442777,0.15537494,0.18479705,0.21159177,0.22182296,0.21036978,0.18852128,0.17388843,0.17826869,0.20229496,0.23969507,0.28024936,0.30880243,0.31205395,0.28703693,0.24691892,0.20826904,0.17932571,0.15741752,0.13915667,0.12631766,0.123178005,0.13252859,0.15605946,0.19401951,0.24347965,0.29450938,0.3371619,0.36332324,0.37143025,0.35977772,0.33192542,0.29755536,0.27292085,0.2684712,0.27834967,0.28421155,0.2683868,0.22822608,0.17382123,0.11995062,0.07859275,0.05868527,0.06629009,0.09911215,0.14327724,0.17682272,0.1840622,0.16483182,0.1348026,0.11297971,0.11118779,0.12711583,0.1473241,0.1549374,0.14071685,0.108280115,0.07027932,0.03882732,0.018942816,0.008949533,0.004714548,0.00297215,0.002365195,0.003951444,0.012071292,0.033720616,0.07317078,0.1251535,0.17439617,0.2073261,0.22336234,0.23434134,0.24795187,0.25882047,0.25316012,0.22720265,0.19264941,0.17083062,0.17602943,0.20855121,0.25586185,0.30131206,0.33048716,0.33542117,0.3166661,0.28350335,0.24808896,0.21930693,0.19879352,0.18529291,0.1786301,0.17969204,0.18778563,0.19827354,0.20847797,0.21936361,0.23321486,0.24698555,0.2532017,0.25135675,0.2471053,0.24829622,0.25109512,0.25220546,0.2535086,0.26930252,0.3072394,0.3611094,0.4087535,0.43175325,0.42743707,0.4092003,0.38766745,0.35934937,0.31132624,0.24001394,0.1587251,0.08878776,0.04349643,0.021760454,0.014049222,0.011231597,0.009233235,0.00926211,0.017920272,0.04713301,0.10786597,0.19779873,0.29265052,0.35569394,0.3637506,0.32610857,0.27808604,0.25289917,0.26040944,0.29013193,0.32539046,0.35800424,0.3817208,0.3940586,0.3894062,0.3721125,0.349615,0.33327222,0.32342616,0.31256834,0.29034218,0.25733265,0.23003848,0.23053531,0.2692459,0.3274881,0.36834356,0.3607638,0.30795833,0.24370898,0.20782228,0.21580338,0.25337234,0.29104722,0.30624568,0.29110238,0.25062862,0.19466312,0.13561861,0.08471271,0.04938629,0.02972684,0.020529322,0.015606674,0.012530524,0.01490128,0.03265828,0.07761061,0.15306889,0.24439587,0.32152155,0.35791382,0.34947088,0.3192147,0.29805687,0.3020924,0.31904995,0.32320404,0.30011413,0.2660621,0.254065,0.28596923,0.35082516,0.41483173,0.44529805,0.4297421,0.37868598,0.31559238,0.2634787,0.23333001,0.22353671,0.2295335,0.250058,0.2833676,0.31721744,0.33242556,0.31666565,0.2756057,0.22776456,0.19245516,0.18096143,0.19279903,0.2148181,0.22672226,0.21682017,0.19303156,0.17500062,0.17464505,0.18377596,0.18688309,0.1740923,0.15182368,0.13403183,0.13675594,0.1655271,0.21062315,0.24776514,0.25387654,0.22197516,0.16518311,0.104960285,0.05781197,0.028826237,0.014626906,0.00895084,0.008231916,0.015109654,0.03905728,0.08917876,0.16387296,0.2446364,0.30706725,0.33562326,0.33307108,0.31036678,0.2779171,0.24037637,0.20277639,0.17233996,0.15817298,0.16573662,0.19206178,0.22485165,0.24986081,0.2603928,0.26168022,0.26479283,0.27822062,0.30212203,0.32741275,0.33958292,0.32451233,0.2781181,0.20881094,0.13511918,0.073997706,0.034313183,0.014023144,0.006210824,0.0037683619,0.0029341944,0.002437806,0.0024960374,0.004842967,0.01379327,0.036933076,0.08103791,0.1473189,0.22605026,0.2991644,0.34521043,0.3510083,0.31994733,0.27416295,0.24298815,0.24475582,0.27776828,0.32380757,0.36425138,0.38941845,0.4025742,0.41016528,0.41334912,0.40255848,0.36690012,0.30680987,0.24156666,0.20192946,0.21232884,0.2732191,0.35693404,0.42315844,0.44630715,0.4284768,0.3917531,0.35420588,0.3221618,0.29453298,0.27561226,0.27176437,0.28329512,0.2985771,0.30398917,0.29508042,0.27900052,0.26295456,0.25095314,0.24688387,0.26513198,0.31745672,0.4008936,0.4850534,0.53112155,0.51178366,0.43002677,0.31354985,0.19811921,0.10924483,0.05396479,0.025917465,0.013896115,0.009363285,0.008950763,0.015042067,0.03600391,0.081316516,0.15601343,0.2518226,0.34903923,0.42089018,0.44686636,0.41982937,0.35066333,0.26215035,0.17803742,0.11290178,0.06875924,0.04079823,0.023377629,0.014328201,0.015681455,0.034364093,0.08049735,0.15979782,0.2646211,0.37016842,0.44508025,0.46606758,0.43050992,0.35382143,0.26139987,0.17525627,0.108501665,0.064111166,0.042781275,0.04793038,0.086067446,0.15547477,0.24104579,0.316372,0.3615693,0.36959842,0.34628293,0.2982992,0.23339832,0.16176964,0.09968094,0.0645053,0.07075801,0.12333182,0.21253538,0.31000927,0.37870237,0.3899581,0.34219825,0.2607058,0.18462956,0.1424333,0.13854492,0.15286724,0.16106795,0.1538329,0.14469416,0.15422535,0.18855983,0.22890718,0.24519485,0.22002108,0.1621967,0.09755513,0.049136758,0.024833573,0.020054832,0.025835136,0.03444751,0.040167797,0.040103406,0.03570394,0.03427449,0.047907725,0.08561202,0.14662938,0.21647508,0.2797413,0.32699654,0.36282262,0.39319077,0.42361388,0.44824195,0.45787993,0.4406245,0.39734578,0.3378749,0.27927488,0.23093642,0.19885348,0.18734322,0.2047651,0.25482568,0.32891437,0.4050943,0.45735112,0.470713,0.44632074,0.39740837,0.33767676,0.2765782,0.22168152,0.18117227,0.16152745,0.16213356,0.17575397,0.19382627,0.21177083,0.23167823,0.25953296,0.30003837,0.34720227,0.38285148,0.38491216,0.34351853,0.268322,0.18230058,0.10763231,0.056095887,0.028174566,0.01784315,0.017306605,0.019975446,0.021755667,0.023126015,0.030754894,0.05626468,0.10776188,0.18049674,0.2551016,0.31122863,0.34143984,0.35421988,0.35979858,0.3592358,0.3438932,0.30868983,0.26149425,0.22453654,0.21886067,0.24936514,0.29729912,0.33878648,0.3624554,0.37731406,0.39274645,0.4051939,0.3978567,0.36061656,0.30036762,0.23684873,0.18680026,0.15437095,0.13435826,0.122538984,0.12065244,0.13260959,0.15415798,0.17334028,0.17676781,0.16377082,0.14577623,0.13980348,0.15493192,0.19125037,0.24051501,0.29113293,0.32643858,0.33374655,0.30923745,0.26427367,0.21330945,0.16764282,0.13091058,0.10715198,0.10398686,0.12888418,0.17899829,0.2332813,0.26263782,0.24975652,0.20763874,0.1695689,0.16522028,0.19611563,0.23968486,0.26642314,0.26193836,0.23004736,0.18553746,0.14114569,0.10289622,0.07180283,0.047624454,0.030174822,0.018637931,0.011585885,0.007538711,0.005447572,0.00454355,0.0041519064,0.0037614591,0.0031876864,0.002608956,0.0023167308,0.0024757932,0.0033351446,0.0062231645,0.014460159,0.03232656,0.06335193,0.10851586,0.16812663,0.23896623,0.31250903,0.3711039,0.39943,0.39384782,0.3684248,0.34145436,0.32455716,0.31766593,0.31529805,0.30905005,0.29105556,0.25889134,0.22502412,0.21133816,0.23335831,0.28244054,0.33251718,0.35932443,0.35795936,0.33961782,0.31915295,0.3042709,0.29260316,0.2768045,0.25306138,0.23166966,0.2315951,0.26556587,0.32320312,0.37892303,0.41074634,0.41359922,0.3930893,0.35292062,0.2949138,0.22383016,0.15238072,0.09291387,0.052064657,0.02787806,0.015092935,0.008551792,0.0051929164,0.0034293756,0.0026477904,0.0026737035,0.003413233,0.0045017456,0.005415447,0.0062729977,0.009665254,0.021630907,0.050296903,0.10038471,0.16999774,0.25004765,0.3299085,0.39917335,0.45091864,0.48019648,0.48721993,0.47489142,0.4513872,0.42478397,0.40193853,0.37930393,0.34857985,0.3012164,0.24031751,0.17717429,0.12923722,0.11319331,0.13911502,0.20049483,0.27120206,0.32039312,0.3340896,0.3253402,0.3189082,0.3282543,0.34478453,0.34893706,0.32884276,0.29054242,0.25071523,0.22221386,0.20365757,0.18413542,0.15405901,0.114164256,0.07303967,0.040097192,0.01927425,0.009017444,0.005239242,0.0044731647,0.0048562535,0.005709441,0.0066464287,0.0072765877,0.007631676,0.009361349,0.017397972,0.039425652,0.083065264,0.14804672,0.22439718,0.29434118,0.34680286,0.3805931,0.40388155,0.4173605,0.41410545,0.38398647,0.33168584,0.27342364,0.22800589,0.19798076,0.17518276,0.1513679,0.13541396,0.145714,0.19268328,0.26084688,0.31386033,0.32230157,0.2853732,0.23295726,0.1979943,0.19619012,0.22010161,0.25309864,0.2795005,0.2873435,0.27077213,0.23297782,0.190156,0.1620679,0.1618489,0.18674539,0.22282279,0.25533256,0.2796717,0.3023884,0.3297213,0.35633257,0.36494613,0.3405397,0.28288326,0.20681238,0.13232963,0.073599584,0.035687964,0.015601833,0.0072411415,0.004597844,0.0040516183,0.0039872197,0.0039900155,0.0041261744,0.006238494,0.015177068,0.039478775,0.08428442,0.14539333,0.20508794,0.24507141,0.2580107,0.2538927,0.24726796,0.24368714,0.23655601,0.2154022,0.17879538,0.13639392,0.10608467,0.10307586,0.13099122,0.17790486,0.2230941,0.25216705,0.26472902,0.26874757,0.2661211,0.24854785,0.20840074,0.15058061,0.092743,0.05222395,0.03634296,0.04040578,0.053617608,0.06433821,0.06501615,0.054493874,0.037718084,0.02145768,0.010218286,0.004551735,0.0027478465,0.002731818,0.0032308586,0.0036548458,0.0038861881,0.004013952,0.005454302,0.011667405,0.028868789,0.06139466,0.11003818,0.17056125,0.24099119,0.31982633,0.4026234,0.47286463,0.50800735,0.49134943,0.42489898,0.3280094,0.2266198,0.14095755,0.07969451,0.041701213,0.020851374,0.010702529,0.0063531175,0.004760317,0.0041307104,0.0036080794,0.002971651,0.0024210962,0.0022197098,0.0024456999,0.002919007,0.0035651028,0.005312217,0.011471166,0.029167956,0.06691426,0.12875207,0.20480128,0.2732362,0.31021807,0.3085402,0.2790424,0.24476242,0.22674745,0.24299611,0.30332682,0.40378746,0.51683885,0.5996697,0.61498237,0.5542228,0.43992314,0.30988255,0.19526811,0.11064369,0.05617335,0.025544139,0.010887614,0.005297044,0.0035570979,0.0028722708,0.0023183546,0.0019655286,0.0020096584,0.002430441,0.003015913,0.0035178028,0.003922095,0.00446058,0.0055329413,0.0073418412,0.010949033,0.019810587,0.040635493,0.07949189,0.13645832,0.20420675,0.27228436,0.33115974,0.3703914,0.37883452,0.35272023,0.30540073,0.2648559,0.25539076,0.2827947,0.33186388,0.3784605,0.40067962,0.38684973,0.3386263,0.2694196,0.19812681,0.1394037,0.09844041,0.071642496,0.052630145,0.037034877,0.024003526,0.014255534,0.008134448,0.00483943,0.0032774985,0.0026557446,0.0026504167,0.0029989087,0.0034369978,0.0037551157,0.003916579,0.003976514,0.00564242,0.013663925,0.039056994,0.093754865,0.18494494,0.29964292,0.40750146,0.46850166,0.4630234,0.4025655,0.32785177,0.27876315,0.2720751,0.29415935,0.31616887,0.31507376,0.28571597,0.23897795,0.18924285,0.14468388,0.10592797,0.07183679,0.04344374,0.023058593,0.011092436,0.005439808,0.0031541486,0.0023204286,0.002193074,0.0025273685,0.0030650918,0.003558875,0.0041045086,0.0058514588,0.01318138,0.03488106,0.08314873,0.16433878,0.27240095,0.38476536,0.47546974,0.5235626,0.52419865,0.4816767,0.40963697,0.32214105,0.23493327,0.15815698,0.0981402,0.055370938,0.028385371,0.013502925,0.0066447775,0.0038809075,0.0029939376,0.004872318,0.014973767,0.042619962,0.09443104,0.16531332,0.23799841,0.29609087,0.33758035,0.3696588,0.39226177,0.3930322,0.36653212,0.3261085,0.29442096,0.27616394,0.25952885,0.2337321,0.20887558,0.20282038,0.22247481,0.25668254,0.28857338,0.31036082,0.3244929,0.33694515,0.34857368,0.35184526,0.33863333,0.30748844,0.27063027,0.2444518,0.24172498,0.26403412,0.30319822,0.3430954,0.36586222,0.36137116,0.3325292,0.29214942,0.25264123,0.22127998,0.19835444,0.1806777,0.16299307,0.14398739,0.1290841,0.13056952,0.16083217,0.22286923,0.30496734,0.3828201,0.43504652,0.45403457,0.44857624,0.42768285,0.39315656,0.34090504,0.27663535,0.21811964,0.1877547,0.19344042,0.22206645,0.24476564,0.2401189,0.21044238,0.18316917,0.18787761,0.23266666,0.29656228,0.34583402,0.35897532,0.3389205,0.30591428,0.27726588,0.2554348,0.23097181,0.19701976,0.15828086,0.127471,0.114240594,0.11774063,0.12955038,0.1405236,0.14575939,0.14389496,0.13581873,0.12374294,0.11153308,0.10391697,0.105236925,0.11763326,0.13887316,0.16165258,0.17500655,0.16970646,0.14359057,0.1040023,0.06345039,0.032453682,0.014459558,0.0067114015,0.0043798164,0.0039554927,0.0039407434,0.0039873677,0.0040827473,0.0042247283,0.004389599,0.004540615,0.0046501663,0.004712377,0.004739665,0.0047479407,0.0047444166,0.004723714,0.0047381944,0.0058786324,0.011266791,0.028205728,0.06485717,0.12654674,0.20506662,0.2821149,0.33345535,0.34809634,0.32881048,0.29371712,0.26161382,0.24628823,0.24645293,0.24756117,0.23300903,0.20058434,0.16758119,0.15755588,0.18264325,0.23808122,0.30804873,0.37607765,0.42749918,0.45195723,0.4428086,0.39978293,0.3290238,0.24304835,0.158131,0.088683225,0.042349834,0.017586028,0.0075030923,0.0044966056,0.0038084968,0.0034082385,0.0028655108,0.0023018816,0.0020700598,0.003561708,0.010945034,0.03107363,0.070204586,0.12544264,0.18469906,0.229587,0.25106734,0.24908502,0.2360939,0.2244553,0.2276542,0.24969292,0.2859297,0.32146332,0.34114516,0.33560959,0.30399802,0.25471738,0.2048469,0.17642713,0.18339753,0.22049785,0.2630435,0.28181443,0.26122817,0.2071429,0.14023872,0.08124122,0.040834434,0.018655634,0.008995496,0.006060803,0.006129025,0.0071777496,0.008075832,0.008252379,0.00925493,0.016021116,0.037125837,0.07841291,0.1370703,0.19860868,0.24670441,0.27488208,0.2945378,0.32419503,0.37181363,0.41901347,0.43350914,0.39394268,0.3147818,0.23623885,0.19835131,0.21409678,0.26893985,0.3347697,0.38427088,0.39804626,0.36655685,0.29544905,0.20416002,0.11874768,0.057125393,0.023099666,0.008968609,0.00501179,0.0047113076,0.005531954,0.006670022,0.0076431483,0.008090257,0.008493707,0.012757535,0.030494556,0.0771173,0.16241375,0.277974,0.3896496,0.45763758,0.45902538,0.4066492,0.33396825,0.2785224,0.2612972,0.28717563,0.34398046,0.4114597,0.46623328,0.49097815,0.47770858,0.43075565,0.36522612,0.3010551,0.25341937,0.22398698,0.20354885,0.17929892,0.14593443,0.10608381,0.06829935,0.03941809,0.022593392,0.016079968,0.016019126,0.018893763,0.024536965,0.03793752,0.0657483,0.11237079,0.17509522,0.24852109,0.32285908,0.3866758,0.4246811,0.43263713,0.4205482,0.40902376,0.4055986,0.4001198,0.37456587,0.3245524,0.26101774,0.20033032,0.15301976,0.12665088,0.13091807,0.1733241,0.24670142,0.3233914,0.37036237,0.36986056,0.33227703,0.28506148,0.25645015,0.25781247,0.28490567,0.32258824,0.36319718,0.40584707,0.4566641,0.50990385,0.55183816,0.5610022,0.52572906,0.446449,0.34010753,0.23060805,0.139459,0.07624949,0.03877544,0.019121816,0.00977298,0.0058188387,0.0043162624,0.0036012977,0.00361189,0.0069295154,0.02028868,0.05301827,0.11258036,0.19676976,0.2907295,0.36925828,0.40679482,0.39058504,0.33022544,0.25728327,0.2050101,0.18822776,0.19276386,0.19459404,0.18072987,0.16146187,0.1571791,0.17993295,0.22272016,0.2653757,0.29067382,0.2940103,0.28252468,0.26425794,0.24365051,0.22366811,0.21211715,0.21725297,0.23966046,0.2657996,0.27940547,0.27375388,0.2577591,0.24219787,0.22855456,0.20790367,0.17416646,0.13244076,0.095331214,0.071771495,0.060489167,0.056570724,0.06064588,0.083406456,0.1322493,0.20089102,0.26671544,0.30996957,0.32309347,0.31345162,0.2915114,0.27155003,0.26465842,0.2747744,0.28704882,0.2815438,0.24834329,0.2032687,0.17529227,0.18572517,0.23088527,0.28185892,0.30627406,0.28601208,0.229668,0.15884411,0.09580482,0.05081664,0.024576696,0.012324075,0.009131839,0.011510055,0.01697917,0.023184016,0.027502144,0.028024122,0.025279686,0.02390235,0.033359125,0.06517307,0.12589924,0.20856766,0.29014993,0.34181753,0.34613624,0.31008235,0.25821528,0.21538055,0.18955775,0.17568712,0.16596572,0.16074984,0.16209726,0.1688541,0.17427556,0.17517401,0.17471349,0.17858529,0.18624336,0.19110738,0.1888075,0.18356673,0.18258838,0.18685763,0.18822841,0.17967783,0.1626125,0.14924884,0.15201771,0.17515899,0.20752613,0.2289214,0.2221164,0.18505126,0.13102958,0.078492545,0.040004242,0.017970728,0.008182516,0.0048874333,0.0041215946,0.0040156865,0.0047939643,0.009940217,0.02711971,0.0648739,0.123293065,0.18870859,0.2384487,0.25760707,0.24809533,0.22674187,0.21252505,0.21799831,0.246574,0.29030788,0.33326438,0.35334483,0.33786264,0.2903737,0.23682986,0.20510669,0.20761715,0.22905754,0.24556379,0.24448432,0.23260772,0.22246899,0.21794821,0.21422921,0.20488001,0.19181657,0.1855291,0.19964342,0.2389592,0.28981423,0.32719925,0.33107555,0.30335614,0.2630786,0.23139395,0.21609497,0.21101493,0.20450954,0.19016956,0.17195104,0.15998025,0.16136706,0.1721133,0.18226112,0.18558906,0.18819904,0.20024388,0.22539441,0.25378475,0.27128527,0.2719715,0.26490244,0.2674649,0.289844,0.32456705,0.34833357,0.33948317,0.29251984,0.22273283,0.15441014,0.11076448,0.10339629,0.13047455,0.17414828,0.21176541,0.2257318,0.2143849,0.18507473,0.14924563,0.11465621,0.08863575,0.07546967,0.07630822,0.08584566,0.095200755,0.09583228,0.08426866,0.06352023,0.04053978,0.022030232,0.01078092,0.0057941903,0.0042679836,0.0040023257,0.0039719585,0.0039514927,0.0039356533,0.0039303345,0.003938139,0.0039560497,0.0039774124,0.0039945636,0.004001441,0.0039957264,0.005025502,0.01040371,0.02710733,0.061272874,0.11396974,0.17613403,0.23627912,0.28396222,0.3142632,0.32017565,0.29647037,0.24479324,0.18243133,0.1358024,0.12873335,0.1674786,0.23759525,0.30758405,0.34655914,0.33701742,0.28446692,0.2084219,0.13263643,0.072738715,0.03449255,0.014642421,0.0065007056,0.003731697,0.0027272303,0.0028037897,0.00675641,0.022193274,0.059832018,0.1256835,0.21034758,0.28836417,0.33222678,0.33338332,0.30786845,0.28458354,0.28248334,0.30269596,0.33284405,0.3633505,0.39064047,0.41317526,0.4210477,0.4019924,0.3526082,0.28750813,0.22803615,0.18829282,0.16779113,0.16035265,0.16299926,0.1761324,0.1976,0.2174929,0.22517616,0.21584664,0.19619314,0.1766762,0.164927,0.16111448,0.16285282,0.16909592,0.17988826,0.19110072,0.19303901,0.1762759,0.14017212,0.09473658,0.0535963,0.025386764,0.010419689,0.004380292,0.0036573063,0.0094188,0.027777398,0.064486705,0.117597304,0.17488517,0.2239428,0.26271406,0.29903957,0.3361809,0.36672512,0.38192466,0.38540956,0.39025798,0.40497625,0.4248714,0.44030854,0.4469005,0.4497006,0.4537233,0.45728922,0.44960344,0.42124394,0.37482467,0.32608336,0.29168424,0.27189532,0.25357193,0.22384717,0.18855019,0.16387285,0.16368175,0.1843785,0.2143777,0.24066591,0.26107398,0.2785912,0.30181012,0.33366787,0.37006116,0.39656398,0.3985434,0.369912,0.31743848,0.25517616,0.1947863,0.14292838,0.104490064,0.089318335,0.10886717,0.1659038,0.24394411,0.3115036,0.34094605,0.32621494,0.28651342,0.2470095,0.22276163,0.20977591,0.19867353,0.18190472,0.15957695,0.13379392,0.10876546,0.09079635,0.08688247,0.10075053,0.12806962,0.15954272,0.1838867,0.19368355,0.18678553,0.17159599,0.16659944,0.18949986,0.24093814,0.29667878,0.32662836,0.31517088,0.27362835,0.22513723,0.19237912,0.18669276,0.20772666,0.24105346,0.26529464,0.26726303,0.25341573,0.24178924,0.24038656,0.23755503,0.2164015,0.17577982,0.13460375,0.11291569,0.11547732,0.13013315,0.14458545,0.15685493,0.1728285,0.19377248,0.21112038,0.21614785,0.21130961,0.20949368,0.21876295,0.23075914,0.22830516,0.202206,0.16266523,0.12956654,0.11745745,0.12309208,0.13098504,0.12478992,0.10098034,0.06842465,0.04115002,0.026822276,0.024269445,0.026565725,0.027622446,0.026196443,0.026961252,0.038283322,0.06761277,0.116951995,0.18224917,0.2552986,0.32725886,0.3880123,0.42663443,0.4318925,0.3997577,0.34016967,0.2797564,0.24747276,0.25491932,0.28265688,0.29680035,0.274865,0.22698562,0.1818974,0.1643375,0.17440467,0.19491838,0.20610784,0.20256072,0.19282053,0.19102158,0.20017631,0.20930564,0.20126325,0.17287248,0.13795651,0.1169092,0.11587397,0.12409586,0.12619726,0.1189594,0.11396748,0.12311993,0.14568663,0.1654282,0.16893055,0.15863252,0.15761687,0.18784241,0.25282237,0.32690406,0.37664998,0.38178518,0.35217273,0.31167063,0.28092775,0.26250848,0.25215426,0.24770962,0.2528601,0.26482496,0.269701,0.24985051,0.20028758,0.13441442,0.07385026,0.033053737,0.012797352,0.0055399206,0.0035173418,0.0027157266,0.0021226022,0.0018497681,0.0020502834,0.0025922146,0.0032068097,0.0036485216,0.0038703822,0.00499405,0.010276849,0.027993446,0.067800544,0.13616191,0.22237493,0.30251968,0.3480445,0.35241485,0.33104715,0.31232658,0.31189647,0.32927728,0.35257897,0.3697041,0.37269166,0.35996613,0.34061483,0.32987526,0.33967245,0.36324027,0.37831545,0.36231482,0.3150573,0.26046667,0.23145966,0.24589412,0.29767457,0.36267713,0.41394773,0.432516,0.4113247,0.3546661,0.27504113,0.18979299,0.114942305,0.060493883,0.027801743,0.011952289,0.0059456504,0.0042578788,0.0039330986,0.0038500775,0.0036969662,0.0033751354,0.002901893,0.002488732,0.002716386,0.006165707,0.01970839,0.05526651,0.12170706,0.21323417,0.3024253,0.35589144,0.35708976,0.32228038,0.28374216,0.26567128,0.267488,0.27608827,0.28117278,0.28304493,0.28580388,0.29033196,0.29234424,0.2852299,0.2674797,0.24832337,0.24493897,0.2668604,0.30377486,0.32935822,0.32208863,0.28071126,0.22493358,0.18004926,0.16375428,0.17801179,0.21359845,0.2534096,0.28221944,0.28978804,0.2796282,0.26267594,0.25045463,0.24310654,0.2352029,0.22443311,0.21710391,0.22061355,0.2365845,0.2626626,0.29482517,0.32699513,0.34507108,0.33568153,0.29596922,0.24287808,0.20192517,0.1938122,0.22316556,0.27879605,0.33882365,0.3768603,0.37240085,0.32001615,0.23615211,0.15127799,0.096385956,0.08709276,0.1204941,0.17860068,0.2402697,0.2886292,0.31608117,0.32214585,0.31339145,0.30250132,0.3045266,0.32828093,0.36894584,0.4117211,0.43881622,0.43715277,0.3994,0.32873127,0.24089523,0.16123803,0.112351276,0.10372306,0.12908517,0.17159389,0.21050413,0.22878164,0.22127031,0.19695455,0.17347981,0.16233243,0.16234744,0.16144969,0.15203036,0.13977645,0.14337517,0.17738117,0.23829381,0.30184755,0.34089348,0.34112856,0.30780149,0.25455958,0.19493277,0.13724604,0.08757279,0.049767163,0.025249878,0.0120445015,0.0063697672,0.0044518947,0.003830307,0.003348545,0.0027383063,0.0021802513,0.0019485,0.0024171998,0.0049681515,0.014037837,0.037217665,0.08025401,0.1386367,0.19722556,0.24145861,0.27178907,0.298696,0.32724902,0.34586188,0.3439763,0.32815817,0.32276034,0.341696,0.37218544,0.3826747,0.35474613,0.30259725,0.26211938,0.25876358,0.28431526,0.30941772,0.31359363,0.3068825,0.31325826,0.34457436,0.38392046,0.40480766,0.39136317,0.35274306,0.30978394,0.28417945,0.28415135,0.3062336,0.33661756,0.3651531,0.3892083,0.41452765,0.44018587,0.45654598,0.44807562,0.40983534,0.3504487,0.28821322,0.23686032,0.19856852,0.1676039,0.14149903,0.12904225,0.14226212,0.18144304,0.22636592,0.24850315,0.23383833,0.19548015,0.16671614,0.17842595,0.24049075,0.3322464,0.4114373,0.43722495,0.39783463,0.32084337,0.25413907,0.23254912,0.2556579,0.293769,0.3117029,0.29017553,0.23347317,0.16135322,0.09660271,0.052463587,0.029890284,0.021291092,0.020150557,0.026929535,0.04878688,0.09061829,0.14643472,0.19796632,0.2264037,0.22611152,0.21052797,0.2019098,0.21466903,0.24299611,0.26580486,0.26477703,0.24294288,0.22476844,0.23645087,0.28383052,0.34592125,0.3918809,0.40133592,0.37914217,0.34875908,0.33802727,0.35851005,0.3991834,0.43250963,0.43272874,0.39048794,0.31682113,0.23773165,0.17897181,0.15482844,0.16018009,0.18115063,0.203946,0.22295809,0.23393905,0.23262054,0.21569562,0.18732034,0.15926619,0.14764303,0.16557992,0.2137422,0.27429143,0.31526685,0.31245756,0.26732406,0.2117243,0.18304479,0.20101161,0.25310323,0.30932713,0.339891,0.33104184,0.28491494,0.2156459,0.14243658,0.08245839,0.04431677,0.025852347,0.01885765,0.016297517,0.017367767,0.028096944,0.055665404,0.10070694,0.15051568,0.18511902,0.19053268,0.17194314,0.15025294,0.14745456,0.17146958,0.21316671,0.25469476,0.28130838,0.28754333,0.27542305,0.24810986,0.20948549,0.16802281,0.13989061,0.13910186,0.16502936,0.19880229,0.2184125,0.21587385,0.1997857,0.18291883,0.1692233,0.15596658,0.14022242,0.124058515,0.110444956,0.101678275,0.099302776,0.104293324,0.11415148,0.123046,0.12908368,0.14382042,0.18663244,0.26738513,0.36700964,0.4460384,0.4672322,0.4223343,0.33132672,0.22897537,0.14399235,0.092089005,0.0751048,0.08560718,0.110255025,0.1345992,0.14957525,0.15454908,0.1552033,0.15598436,0.15619098,0.1518541,0.14047374,0.12345636,0.10551081,0.09412939,0.09714874,0.11756998,0.14961652,0.18235834,0.209861,0.23442543,0.2613267,0.28795114,0.30757514,0.31546077,0.31580397,0.31027082,0.29351464,0.25491247,0.1942873,0.12514356,0.06683069,0.030361056,0.014327166,0.01030828,0.01026181,0.0100897895,0.009710309,0.01450149,0.037117954,0.094791114,0.19475944,0.31820413,0.4188677,0.45214716,0.409104,0.32957456,0.27062857,0.2676643,0.31145254,0.36696458,0.40036872,0.40217414,0.3852241,0.37219712,0.37566778,0.38908076,0.3919531,0.36882946,0.3211402,0.26533338,0.21794717,0.18579857,0.16506773,0.14991002,0.14234185,0.15414876,0.19907688,0.27555135,0.36136565,0.41989207,0.42408398,0.36956158,0.27912924,0.18591718,0.11947081,0.09244332,0.10168805,0.13066731,0.1587491,0.16796993,0.1520953,0.11683404,0.07648527,0.045397144,0.03535131,0.054519802,0.104937814,0.17584443,0.24108551,0.27230677,0.2587622,0.21912773,0.18614721,0.18229555,0.2015431,0.22095512,0.21918535,0.19642721,0.16873513,0.15993299,0.18320568,0.23720956,0.30070558,0.3441441,0.34300753,0.29627904,0.22670424,0.1678697,0.1419338,0.14962979,0.17396487,0.19663726,0.20855908,0.21157986,0.20986716,0.20673163,0.20455028,0.20543392,0.20654851,0.19929153,0.17607649,0.13851413,0.09698748,0.062272906,0.038620975,0.024154393,0.015219976,0.009538238,0.0061361417,0.004348533,0.0033996906,0.0027327037,0.0022631844,0.0021638947,0.0025404966,0.00322376,0.0039249067,0.004416316,0.004656377,0.0053387233,0.008399859,0.018746966,0.04276365,0.08698303,0.1503865,0.22397725,0.29014954,0.33579364,0.3563969,0.35928917,0.35164836,0.3351628,0.30447385,0.25560358,0.19237745,0.12637831,0.0710476,0.03390452,0.01451221,0.00693641,0.0049598445,0.0047002197,0.004722267,0.004735114,0.0047395304,0.00474171,0.0047431365,0.004753636,0.0052211806,0.008027551,0.017059244,0.03628393,0.06601873,0.10198581,0.14118509,0.18833177,0.2535727,0.3377417,0.42262635,0.47724128,0.48184076,0.4420199,0.38440582,0.33436033,0.3027161,0.28619173,0.27686894,0.26840445,0.25621393,0.24061634,0.22747062,0.22725861,0.24659567,0.28401485,0.331701,0.37998798,0.41810337,0.43272647,0.41298613,0.3600873,0.2910823,0.23005141,0.19201499,0.1763102,0.16984338,0.16141228,0.14781211,0.13755772,0.13867776,0.15294439,0.16975848,0.17917182,0.17811476,0.17349452,0.169387,0.16251592,0.14496803,0.114565015,0.077853285,0.044931844,0.022469886,0.010699167,0.0061569964,0.0049296073,0.0047530215,0.0047442964,0.0047143525,0.0045748106,0.0042684297,0.003859651,0.003696359,0.0041903136,0.005573733,0.007458327,0.009143124,0.009899941,0.009620438,0.00862302,0.0074642804,0.006431643,0.0056031444,0.0050450396,0.0054795113,0.011215436,0.032327622,0.08503374,0.17888772,0.3049973,0.42770067,0.5046893,0.5095083,0.45223746,0.36915997,0.3031045,0.27864778,0.29617015,0.33846697,0.38973197,0.441301,0.48916975,0.5205404,0.52143747,0.4869379,0.43189213,0.37793574,0.33950916,0.31801084,0.30844715,0.3059695,0.3056635,0.30146578,0.2891606,0.2699841,0.25156793,0.24049436,0.23584898,0.22805052,0.20775348,0.17735495,0.15165573,0.14864399,0.17260675,0.21200497,0.24708259,0.26782095,0.27534044,0.27645075,0.2712418,0.25746873,0.23379862,0.20491715,0.17553812,0.15150544,0.13927561,0.14528717,0.1698718,0.2042219,0.23650174,0.25819248,0.26800278,0.26514614,0.24901032,0.22116725,0.19236262,0.17560084,0.17677557,0.18884498,0.20169227,0.2124934,0.22651277,0.2492516,0.27764323,0.30197513,0.30877003,0.29075846,0.24880445,0.19582647,0.14885405,0.12436091,0.12760003,0.15152033,0.17714141,0.18757848,0.1779444,0.16130893,0.15599734,0.17246413,0.20375155,0.23428786,0.25102592,0.2537783,0.25082174,0.2529927,0.26348773,0.27598584,0.27600548,0.25301388,0.21200933,0.17588787,0.17258291,0.21454966,0.2904924,0.37079284,0.4267054,0.440304,0.40904403,0.34032676,0.2510718,0.16283037,0.095148236,0.05623984,0.041537836,0.039839998,0.0408013,0.038754247,0.032111544,0.022672996,0.013441171,0.007129764,0.0041700504,0.0035352462,0.0039323196,0.0063488944,0.014348805,0.033323746,0.06486437,0.10546694,0.14577109,0.17826854,0.19831806,0.20841397,0.2167271,0.23368256,0.26291543,0.29046133,0.2964007,0.26929858,0.22648013,0.1965943,0.20048796,0.22854924,0.2562834,0.26534966,0.26272142,0.26876342,0.29699734,0.3387234,0.3702737,0.3693007,0.3307099,0.26874408,0.21241395,0.18915021,0.2150923,0.28144464,0.36455426,0.43229672,0.4664481,0.46091104,0.423777,0.36575273,0.30224445,0.2504467,0.22456516,0.225488,0.23834015,0.24298297,0.22826864,0.19787699,0.16619791,0.15191592,0.1705078,0.22429252,0.29393563,0.3466743,0.35690415,0.32422504,0.268441,0.21360517,0.17386949,0.15371704,0.1496821,0.15379274,0.15514438,0.14779471,0.13358094,0.12038384,0.11306253,0.110331506,0.10626427,0.09616778,0.078855924,0.05719324,0.03592174,0.019531932,0.009736617,0.005393263,0.0039178138,0.0032979466,0.0026907902,0.002133882,0.0018872708,0.002095802,0.0026200407,0.003202909,0.003625592,0.0038509446,0.0039385506,0.0039670467,0.0044704718,0.0076908297,0.018895619,0.045570787,0.0924747,0.15559159,0.21938334,0.26452398,0.27921852,0.26787472,0.24409087,0.22161393,0.2085974,0.21487428,0.24853508,0.30605912,0.36181334,0.3842603,0.35901213,0.30087024,0.23711012,0.18823619,0.15873839,0.14450788,0.13883199,0.13747017,0.1387028,0.14544678,0.163249,0.1971271,0.24494116,0.29431045,0.3267412,0.32993355,0.3084626,0.28072202,0.26672065,0.2747201,0.30109587,0.3334918,0.35761392,0.36264881,0.34542787,0.31337857,0.2759181,0.24157493,0.21100624,0.18337953,0.15712552,0.13538231,0.124763034,0.1322487,0.15986548,0.1984175,0.23191679,0.24440344,0.232872,0.20399235,0.16895676,0.1336103,0.10389919,0.08921776,0.1022182,0.14740014,0.2135574,0.27572024,0.3090851,0.30252656,0.26637745,0.22368301,0.19718666,0.19317198,0.20124799,0.20222382,0.18508716,0.15548564,0.13342781,0.1403876,0.18480837,0.25607488,0.32810748,0.37275147,0.37303936,0.3298327,0.25862417,0.17964393,0.1101517,0.05920665,0.028449198,0.013455124,0.00792151,0.0061578224,0.0051655234,0.0041330685,0.003953951,0.0065299994,0.016376248,0.040201068,0.08582624,0.15458256,0.23804526,0.31771317,0.37545714,0.40039623,0.391161,0.35346738,0.29900262,0.24877752,0.22417247,0.23613119,0.26961836,0.29714033,0.29838097,0.2856981,0.2898096,0.3350887,0.41040492,0.4849093,0.53271204,0.55619943,0.56939155,0.57974213,0.5789602,0.55914444,0.5225029,0.47900745,0.43224886,0.3797424,0.3208831,0.26840433,0.23774688,0.23484336,0.24708869,0.25760332,0.25769565,0.25217614,0.24771047,0.2457368,0.24227424,0.23720682,0.23581105,0.24341102,0.25541404,0.25790605,0.23729847,0.19245245,0.13513617,0.0818232,0.04279128,0.019951634,0.009090035,0.005148856,0.0041239145,0.004100101,0.005112705,0.00920861,0.02008939,0.041051667,0.07260116,0.112147085,0.15557805,0.20160611,0.24870078,0.29320833,0.32389298,0.33274034,0.3217323,0.3062472,0.29749128,0.29155147,0.27341375,0.23671024,0.19221991,0.15710695,0.13694502,0.12443162,0.112262964,0.10879335,0.13215046,0.19289017,0.276101,0.34955564,0.38651705,0.38698885,0.36981782,0.35177287,0.3306012,0.2967721,0.25117317,0.21431796,0.21112473,0.25109693,0.32052776,0.39316392,0.4499819,0.48759556,0.5139451,0.5340152,0.5451677,0.5412092,0.5212546,0.4907962,0.45536926,0.41485366,0.36346173,0.29735282,0.22041707,0.14456458,0.08257475,0.040978964,0.018134244,0.007993738,0.0050139506,0.0064550843,0.011503492,0.019619374,0.029126547,0.03742076,0.04252866,0.045549992,0.05209015,0.068267554,0.09656092,0.13256437,0.17143679,0.20964211,0.24554597,0.27365628,0.2882006,0.28697333,0.27310455,0.2530433,0.23527128,0.23190951,0.2502985,0.28674117,0.32554677,0.3532683,0.36518845,0.3633223,0.35182333,0.34080902,0.34591314,0.3740991,0.40798864,0.41806877,0.39012718,0.3463597,0.32128015,0.33380708,0.36868712,0.40061662,0.4121065,0.40373155,0.38026342,0.346216,0.30550492,0.2665748,0.2384957,0.22517265,0.2234597,0.22911578,0.24054247,0.25716686,0.27403855,0.28564003,0.29127005,0.29795158,0.31259978,0.33612764,0.36091495,0.37379333,0.36080685,0.31471828,0.2420681,0.16157132,0.094401546,0.051920667,0.032438915,0.026912289,0.0290158,0.040405724,0.06623071,0.10461833,0.14193948,0.16347085,0.17169954,0.19031478,0.24301101,0.3263969,0.40575373,0.4434227,0.4274901,0.37735307,0.32060957,0.27584502,0.25098658,0.25481018,0.2943156,0.36400554,0.43644455,0.47837564,0.47316802,0.4357202,0.39498863,0.36812726,0.34735477,0.3146564,0.2660127,0.217124,0.1927311,0.20678501,0.25667235,0.32320035,0.37864432,0.39686823,0.36580804,0.29814425,0.22652806,0.18927447,0.20360373,0.256663,0.31296813,0.34588006,0.3548533,0.35923257,0.37189236,0.3831372,0.37355995,0.33356273,0.27544358,0.21909761,0.18041699,0.1640029,0.17021601,0.19757707,0.24590553,0.3129175,0.3922265,0.46620855,0.5112743,0.50748754,0.45522204,0.37230954,0.2839427,0.20630474,0.14815597,0.115888245,0.11931529,0.16019998,0.22292459,0.27500322,0.29214117,0.2804881,0.27828386,0.3233973,0.42072344,0.53022164,0.594794,0.57375497,0.47097245,0.32556134,0.18938226,0.094599605,0.04580316,0.027870655,0.026317537,0.0376586,0.06775642,0.11982677,0.18856335,0.26312456,0.3370142,0.40553096,0.45826682,0.47614208,0.44912145,0.38976583,0.33050916,0.2955676,0.28593627,0.28291145,0.2743444,0.26544014,0.27080545,0.29458383,0.32490793,0.3479021,0.3594445,0.36520982,0.36884823,0.36949027,0.36441758,0.3507594,0.32479683,0.28198072,0.22429276,0.15970217,0.10124707,0.06092341,0.051777154,0.086019985,0.16895817,0.28768873,0.4090557,0.49356446,0.5181642,0.48666444,0.4233328,0.3542036,0.29752874,0.26073202,0.24477679,0.24765539,0.26637208,0.29927397,0.34385872,0.39672348,0.4490397,0.4854187,0.48958576,0.4551868,0.39621976,0.33738473,0.30154368,0.2940388,0.30589774,0.31817675,0.3143727,0.28740144,0.24459799,0.20360102,0.18406273,0.19758008,0.24266894,0.30447856,0.36383554,0.40276393,0.4091997,0.37553647,0.30451795,0.21208547,0.12333498,0.0584704,0.02270279,0.008415107,0.004569813,0.00401815,0.0040333183,0.004134971,0.004286817,0.0044545517,0.004596055,0.0046860534,0.0047284164,0.0047427528,0.0047822217,0.00567043,0.009527617,0.02039121,0.042359833,0.078190945,0.12666373,0.18114126,0.22891885,0.2549226,0.25184283,0.22750108,0.20338027,0.1994195,0.22034304,0.25446758,0.28529844,0.30514324,0.31351876,0.31072795,0.28950748,0.24495469,0.18088053,0.11425292,0.06148285,0.030649193,0.018358964,0.019894784,0.035739366,0.073378064,0.13831258,0.22957869,0.33423087,0.43300438,0.4992578,0.51332134,0.4705888,0.39247373,0.3117908,0.25685915,0.23638524,0.24344234,0.26302156,0.2826455,0.29486632,0.29775164,0.29063943,0.2768445,0.2659499,0.27435505,0.31416175,0.38070333,0.44788817,0.48174265,0.46673176,0.42039123,0.38074735,0.37050936,0.37876794,0.3762394,0.35044292,0.31984422,0.31322047,0.33888316,0.3742127,0.38876215,0.37157956,0.3381994,0.3108199,0.29756725,0.29101646,0.28014445,0.26326588,0.24725598,0.24324913,0.25394514,0.2718025,0.2819065,0.2796724,0.27529752,0.28587818,0.3183376,0.36071244,0.3923547,0.39440736,0.3680884,0.3309859,0.30927053,0.3106316,0.32209074,0.32263538,0.30920854,0.2937372,0.28713095,0.2863628,0.28582218,0.28643224,0.29026926,0.2908047,0.2754834,0.24374914,0.21087886,0.20146698,0.22872953,0.28600422,0.3473266,0.38467896,0.3887407,0.3726504,0.3579631,0.34857544,0.33192393,0.2941927,0.24490549,0.21148543,0.22035766,0.27007613,0.33190164,0.37242898,0.38576135,0.39434183,0.42092764,0.45547605,0.4639772,0.4217511,0.34467578,0.27545998,0.25230154,0.27793014,0.32285514,0.3449986,0.31945547,0.24977468,0.16331415,0.0890502,0.042142693,0.019888988,0.013331872,0.01751513,0.037541967,0.07976388,0.14394844,0.2118072,0.26087782,0.27538517,0.26599947,0.25207552,0.24867237,0.24767776,0.23472852,0.20352714,0.16667277,0.14359947,0.14340101,0.15776089,0.16792916,0.16540642,0.1622749,0.18674855,0.25794265,0.36658803,0.47265258,0.52993613,0.51195806,0.42672256,0.30618337,0.18812044,0.09778369,0.04281259,0.016488535,0.0070822597,0.0048300964,0.0046126596,0.0046851425,0.0047313315,0.0047447314]