[0.0056910943,0.012469858,0.029360509,0.05455781,0.08165658,0.10245397,0.110998295,0.10769213,0.09778086,0.08770635,0.08137131,0.078592844,0.07704336,0.07462185,0.07187588,0.07062418,0.07180057,0.07363086,0.072974615,0.06842277,0.06229222,0.06011166,0.0662288,0.0798245,0.09351033,0.09820453,0.0894761,0.07077977,0.050088465,0.033914037,0.024091506,0.018819857,0.01571859,0.013438816,0.011662078,0.010340206,0.009356032,0.008542521,0.0077724694,0.0073481626,0.008679098,0.014854363,0.029328182,0.052810658,0.08071635,0.10444931,0.11662996,0.11552495,0.105702616,0.093896426,0.08507679,0.08010992,0.077125005,0.07390631,0.07018531,0.06788952,0.06864322,0.07185016,0.07377904,0.07117931,0.06401644,0.057048228,0.056619346,0.06538321,0.07961797,0.089953996,0.08920338,0.07621477,0.05758365,0.04075625,0.030583426,0.027182,0.028913254,0.033684347,0.03977612,0.04567333,0.050709125,0.055571992,0.061741527,0.06972357,0.07876905,0.087968655,0.09933754,0.115802705,0.13855612,0.1622919,0.17918773,0.18312036,0.174782,0.15916827,0.14225467,0.12814291,0.11856858,0.11392238,0.11332452,0.115776874,0.119324595,0.12163433,0.1200513,0.113778345,0.10429883,0.09533764,0.091079615,0.09426171,0.10372446,0.11382791,0.117748834,0.112635285,0.101971835,0.09202146,0.08674738,0.085635744,0.08625933,0.08667213,0.08620021,0.08419219,0.08036161,0.07510371,0.06954935,0.06420978,0.059117753,0.05556481,0.057790484,0.07150999,0.09876516,0.13415529,0.16567306,0.18228139,0.17972785,0.16227587,0.13759275,0.11287332,0.09232675,0.077777125,0.069212474,0.06593887,0.06775463,0.07387993,0.08241948,0.08939155,0.09271992,0.09381601,0.09901064,0.11591822,0.14953804,0.19876485,0.25477603,0.305979,0.34265688,0.3623387,0.366997,0.3604052,0.34617755,0.32907543,0.31558844,0.31003627,0.31157324,0.31254807,0.3033475,0.27684477,0.23324609,0.18055047,0.1334399,0.10838667,0.1160472,0.1541682,0.20510668,0.24516411,0.25731793,0.24179406,0.21154122,0.18160522,0.15862651,0.14131631,0.12674749,0.116169475,0.11390377,0.12176303,0.13495742,0.14551234,0.14938818,0.15128024,0.15974657,0.1797539,0.20806849,0.23668341,0.25688675,0.26253498,0.2517194,0.22816157,0.20069355,0.17847107,0.16883548,0.17339516,0.18882018,0.20312496,0.20282555,0.1793148,0.13868406,0.09635359,0.06786042,0.05773813,0.06048466,0.06762053,0.076025836,0.08748957,0.10345891,0.12006793,0.13091254,0.13198169,0.12487102,0.11436219,0.1048842,0.09796346,0.09235296,0.08620847,0.07931259,0.07414638,0.073035926,0.07596229,0.079290695,0.08010451,0.0789116,0.08066562,0.0901182,0.10724745,0.12670475,0.14167668,0.15079784,0.15886058,0.17412788,0.20150845,0.24005227,0.2831851,0.32155228,0.3474475,0.35728106,0.35414207,0.34395775,0.33259097,0.32095274,0.3079654,0.29438126,0.2869719,0.29499698,0.3225058,0.36335757,0.40243602,0.42392758,0.41786328,0.38474217,0.33533564,0.28762463,0.2585182,0.25423166,0.26662827,0.2813941,0.28983614,0.29442748,0.30206552,0.31637833,0.33508977,0.35399315,0.3700877,0.38190353,0.38870084,0.39004335,0.38610566,0.3769246,0.36143425,0.33666,0.29932192,0.24909668,0.19154339,0.1368106,0.09415993,0.06680332,0.051123466,0.041215558,0.032942917,0.02556252,0.019638855,0.01627499,0.017513135,0.027977107,0.052857954,0.09308934,0.14107625,0.18324518,0.20805438,0.21259493,0.20213838,0.18503888,0.16831352,0.15652572,0.15101044,0.15029816,0.15061313,0.14905557,0.1441288,0.13641095,0.12669064,0.11731658,0.111563616,0.11363634,0.12509893,0.14252032,0.15716416,0.15941496,0.14645134,0.12642395,0.11579912,0.12896043,0.1682856,0.22273695,0.27464232,0.3127096,0.33546522,0.3491048,0.35473147,0.346876,0.31731272,0.2676278,0.21126032,0.16755642,0.15226912,0.1697533,0.21306755,0.26360035,0.3016005,0.31296122,0.2998619,0.27538005,0.2579951,0.25640437,0.26680708,0.27278218,0.26097193,0.23068275,0.19853634,0.18588687,0.20392013,0.24403052,0.28292057,0.2997369,0.29060516,0.27083245,0.25925255,0.26276863,0.27188146,0.2724402,0.2586397,0.23720534,0.22254036,0.22546716,0.24657397,0.2713244,0.2806374,0.26265642,0.22605383,0.19321942,0.1858785,0.20926988,0.25082827,0.29035816,0.31133378,0.309696,0.2927233,0.27553007,0.27006367,0.27949572,0.29566646,0.30717322,0.30522552,0.28898463,0.2616949,0.22856498,0.1924206,0.1570568,0.12746264,0.11057293,0.10914293,0.11899426,0.1308225,0.13813542,0.1440528,0.15826207,0.18786795,0.22684161,0.25868094,0.2661074,0.24480729,0.20605333,0.17121963,0.15978533,0.1796242,0.22510023,0.28035417,0.32979146,0.36304942,0.37941062,0.3826371,0.37874055,0.37165105,0.36464074,0.360206,0.36132374,0.369575,0.38397238,0.39991155,0.41181526,0.4158413,0.4116504,0.40091947,0.3857037,0.36776173,0.34835646,0.32844087,0.30872753,0.29090932,0.2765913,0.26487872,0.25105706,0.2297014,0.20134832,0.17432483,0.16177285,0.1712944,0.20000722,0.23412709,0.25913727,0.26766047,0.26235542,0.24969111,0.23269351,0.21071135,0.18387942,0.16004705,0.15001018,0.16084774,0.18695723,0.2159269,0.2355244,0.24225296,0.2400523,0.23648965,0.23795508,0.24471474,0.25274634,0.25635973,0.2562174,0.2573848,0.26576236,0.28063095,0.29483056,0.2987441,0.2861733,0.2584678,0.22331755,0.19073988,0.16700913,0.15256584,0.14388992,0.13735668,0.13232636,0.13083978,0.13581924,0.147667,0.16295923,0.17568423,0.1803705,0.17455138,0.16035308,0.14593871,0.14536195,0.17116483,0.22428119,0.2881734,0.3387505,0.35940826,0.3512886,0.32772872,0.30212575,0.2789494,0.25499013,0.229643,0.21339768,0.226938,0.28362405,0.37221158,0.4544275,0.4896319,0.4620308,0.3896064,0.30519515,0.23288947,0.17918931,0.13937801,0.109796606,0.09206457,0.09403908,0.12068323,0.16830146,0.21986727,0.2570762,0.27085805,0.2695867,0.2688736,0.281144,0.30436084,0.3260025,0.32979083,0.3100727,0.2737585,0.23946792,0.2234952,0.23287852,0.25932205,0.28811625,0.30748072,0.3166879,0.32122976,0.32499102,0.3246071,0.31290314,0.285517,0.24787442,0.21502054,0.202362,0.21347208,0.23603792,0.25499213,0.26491177,0.27238688,0.2812566,0.2856085,0.27444902,0.24653399,0.21552788,0.2014386,0.21529122,0.25036085,0.28802422,0.31249613,0.32177225,0.32672587,0.33972368,0.36465648,0.39488685,0.41957366,0.43176863,0.43010664,0.41681588,0.39152429,0.35358438,0.30509496,0.25885466,0.23168074,0.23594333,0.26630998,0.3059273,0.33533037,0.34608364,0.33784962,0.31498328,0.28110573,0.24479507,0.22341579,0.23882882,0.30105886,0.393603,0.47914687,0.521616,0.50884116,0.45482937,0.38829395,0.33575717,0.3105536,0.30646303,0.3032621,0.28123453,0.23679888,0.18377186,0.14058904,0.11626642,0.10698592,0.10447032,0.105846204,0.117551036,0.15021871,0.20867765,0.28439128,0.35613668,0.4002713,0.40363833,0.3711903,0.3228385,0.28245303,0.26352584,0.26185215,0.25884053,0.23792435,0.19767684,0.15295854,0.119734526,0.10247609,0.094057865,0.08892544,0.09363639,0.12342807,0.18689656,0.2731477,0.35618284,0.41297016,0.4375128,0.4377904,0.42127088,0.38946256,0.3439385,0.29655313,0.26347503,0.25381708,0.25952837,0.26482394,0.25823158,0.24305665,0.23153384,0.23598212,0.25907612,0.29433492,0.33100787,0.36034665,0.3779882,0.3828533,0.37750575,0.36738154,0.360234,0.36107615,0.36967757,0.3799769,0.38543454,0.3824966,0.372215,0.35633984,0.33501256,0.3062648,0.27071896,0.2371676,0.22495712,0.25563052,0.3341402,0.4351208,0.5108049,0.5223908,0.4665999,0.37577188,0.29111388,0.23735113,0.21644557,0.2183823,0.2328238,0.2525312,0.27118325,0.28260148,0.28276882,0.27272,0.2578076,0.24617635,0.24532904,0.2599931,0.28687575,0.31443933,0.32497513,0.30641893,0.25858146,0.1973746,0.14405479,0.11560723,0.113655746,0.12882797,0.14916913,0.17019789,0.1929328,0.2172385,0.2385184,0.25060454,0.2505939,0.23833935,0.21693921,0.19341381,0.17946593,0.18499331,0.2104638,0.244789,0.27266172,0.28414968,0.2784895,0.2615884,0.24060176,0.22199291,0.21030904,0.20888114,0.2170616,0.23049277,0.24123107,0.24354088,0.23574567,0.22153224,0.20621486,0.19597198,0.19607306,0.20911752,0.23168345,0.2542653,0.26528704,0.25751957,0.23285063,0.20333558,0.18658285,0.19549765,0.23019092,0.27665973,0.31768334,0.3415638,0.34738335,0.3391901,0.32209864,0.29989696,0.2798152,0.27691433,0.31020895,0.38627565,0.4825479,0.5531252,0.55920523,0.49883243,0.4051782,0.31865314,0.25984302,0.22771768,0.21142809,0.20277525,0.19723509,0.19322604,0.18981971,0.18698584,0.18409872,0.17993258,0.17356704,0.16684443,0.16506362,0.17299561,0.1896557,0.20541634,0.20871818,0.19459581,0.17124121,0.15474032,0.15938462,0.18746996,0.22849154,0.26528338,0.2849697,0.28494915,0.27362537,0.26164782,0.2552228,0.25064626,0.24121594,0.22351243,0.20394845,0.19321305,0.1982509,0.21446997,0.22817568,0.2261442,0.20489919,0.17207189,0.13920085,0.11426813,0.09876704,0.090141654,0.08507546,0.081372865,0.07804993,0.07476968,0.0714396,0.0681298,0.06499182,0.062194645,0.059830964,0.05808677,0.057271987,0.0578057,0.06000784,0.064138524,0.07050857,0.07947757,0.09121219,0.105342664,0.12103278,0.13687839,0.15216976,0.1676311,0.18741526,0.21550775,0.25372446,0.29778552,0.34289753,0.38649538,0.43163404,0.4820033,0.5363055,0.58431345,0.6093555,0.5997939,0.55749077,0.49900782,0.44290885,0.40060723,0.3722656,0.3530093,0.33555928,0.3144032,0.28802058,0.26195833,0.24565671,0.24387397,0.2528133,0.2629716,0.27052203,0.27966514,0.29875267,0.32804558,0.35656485,0.3666854,0.34816536,0.3069025,0.2641419,0.24195533,0.24956156,0.27702284,0.30492023,0.31603277,0.30677128,0.28632343,0.27118304,0.27240095,0.2889259,0.30823404,0.31722966,0.31274346,0.3033025,0.30127797,0.31150272,0.3282715,0.34050095,0.34118962,0.33152667,0.31883729,0.31011745,0.3071086,0.3057613,0.3019576,0.29570648,0.29157087,0.29223752,0.29592907,0.29684117,0.29044008,0.2764844,0.26147965,0.256871,0.2738253,0.31382042,0.3659384,0.411279,0.43633613,0.43760267,0.4213109,0.39470842,0.36540735,0.33995044,0.3247498,0.32103527,0.3241929,0.32594764,0.3210229,0.30919564,0.2950461,0.2856718,0.29234466,0.32716873,0.39446652,0.47917464,0.5505359,0.58028215,0.5628131,0.51618373,0.46802488,0.43737552,0.4292264,0.43535963,0.4434109,0.44320497,0.43320847,0.418566,0.4054235,0.39579698,0.386898,0.37562212,0.36067304,0.3435361,0.32634452,0.31124997,0.29955268,0.29072487,0.28176704,0.26786727,0.24639593,0.2195894,0.19466536,0.17807265,0.17108624,0.16883485,0.16519012,0.15723725,0.14643095,0.13599026,0.12740543,0.11959416,0.11080117,0.10186795,0.09701684,0.10065422,0.11307183,0.12925096,0.1436309,0.15552492,0.17118935,0.19849162,0.24112992,0.29365888,0.34447983,0.38036516,0.3952365,0.3911732,0.37604177,0.35468295,0.32774958,0.29523766,0.26370528,0.24501596,0.247979,0.26859048,0.29040378,0.29595378,0.28112587,0.2580916,0.24610506,0.2555432,0.2828118,0.3127751,0.33118558,0.32981235,0.3117468,0.288052,0.2731962,0.27465913,0.2854577,0.29093966,0.28342912,0.27764654,0.30000785,0.36632216,0.46055457,0.544781,0.5864048,0.580942,0.5479435,0.511405,0.48348108,0.46403798,0.44620785,0.42428795,0.39578494,0.3646252,0.33790696,0.32259682,0.31983373,0.324931,0.3311198,0.3344246,0.335601,0.33647108,0.33678076,0.33249184,0.32039216,0.30059293,0.27784026,0.25587058,0.23452984,0.2090128,0.17614572,0.13878752,0.1058262,0.08585479,0.080505945,0.08333849,0.08439118,0.07754011,0.06450222,0.05420423,0.058215234,0.084492005,0.13203709,0.18922496,0.23886202,0.26757908,0.27212825,0.25836626,0.23417519,0.20523171,0.17430139,0.14414686,0.11748157,0.09645263,0.080974914,0.069705404,0.060833726,0.053342093,0.04764746,0.04682313,0.056904692,0.08326471,0.12511398,0.17205171,0.20887507,0.2235993,0.2133522,0.18344569,0.14353545,0.10369817,0.07133285,0.04933152,0.03647497,0.030802133,0.032518163,0.043665122,0.06348327,0.08531204,0.09883642,0.098844625,0.09083677,0.08884876,0.10471652,0.13948067,0.18208456,0.21680444,0.23276664,0.22940135,0.2148422,0.19899338,0.1877622,0.18133391,0.17737196,0.17372747,0.17017291,0.1671602,0.16562878,0.16576023,0.16716355,0.16862845,0.16959292,0.17172657,0.17822349,0.19178374,0.21079017,0.23027052,0.24370503,0.24751729,0.24192195,0.23082745,0.2193876,0.21130468,0.20736414,0.20546634,0.20329547,0.19981454,0.19574021,0.19164412,0.1869353,0.18030588,0.17155175,0.16289313,0.15753849,0.15755449,0.16168688,0.16695799,0.17071939,0.17298603,0.17545635,0.17959565,0.1848955,0.18905199,0.18986289,0.18647301,0.17992933,0.17215936,0.16547595,0.16176909,0.1621932,0.16667604,0.17432357,0.18394582,0.1946324,0.20540462,0.21518767,0.22416312,0.23554087,0.25605217,0.28942785,0.33195052,0.3702003,0.3930941,0.39778712,0.39288768,0.3869516,0.3841964,0.38308057,0.3828651,0.38599214,0.39740503,0.4207516,0.4555138,0.4964598,0.53462267,0.55995274,0.5643793,0.5467811,0.5137789,0.4778397,0.4497676,0.43547952,0.4339348,0.4405084,0.4481425,0.4509224,0.44523826,0.43221247,0.41611543,0.4024706,0.39429775,0.39196292,0.39410695,0.39976558,0.40744343,0.41405582,0.41569123,0.41011047,0.39832494,0.38306126,0.36741337,0.3544388,0.346802,0.34617373,0.35161683,0.3608762,0.37037084,0.3774036,0.3803332,0.38032386,0.3799328,0.38246155,0.3909948,0.4097729,0.44058672,0.47887954,0.50957406,0.5173654,0.4962143,0.45733514,0.4171238,0.38755953,0.36923036,0.35957098,0.35751176,0.36438882,0.3786715,0.39419174,0.40264854,0.3983103,0.38143185,0.358925,0.34136546,0.3378663,0.3494114,0.36871508,0.38403925,0.38925585,0.3855703,0.3799453,0.37709832,0.37824854,0.38143024,0.3842286,0.38472366,0.38267946,0.38049078,0.38201955,0.38914537,0.39994428,0.4089543,0.41238928,0.41127184,0.41443658,0.43247,0.46898636,0.51249534,0.5425587,0.5451148,0.52343506,0.49266836,0.46560696,0.44509172,0.4291086,0.4179295,0.4158982,0.42587268,0.44552875,0.4672865,0.4827585,0.48637784,0.47788337,0.46187153,0.44742063,0.44281194,0.45156518,0.467272,0.47908795,0.47680926,0.45790946,0.42619336,0.3898597,0.35735765,0.33364356,0.31904402,0.3109672,0.30843124,0.3128926,0.32497954,0.34210905,0.3573812,0.36526895,0.36388615,0.36189196,0.37411204,0.41330943,0.4724318,0.5226417,0.5305492,0.48513147,0.4091229,0.34224725,0.31480742,0.32894173,0.3630155,0.38898477,0.39146188,0.37401092,0.35098362,0.33459318,0.3269576,0.32359514,0.32062483,0.32095036,0.33243063,0.35972437,0.39806005,0.4333513,0.45389393,0.45676586,0.4492056,0.43939403,0.43209717,0.42672125,0.4196136,0.40627405,0.38581833,0.36337098,0.34961107,0.352296,0.37238964,0.40147087,0.43089724,0.4565377,0.4835627,0.51866,0.5611866,0.5981753,0.61206394,0.59581596,0.55800533,0.51708734,0.48637286,0.47026816,0.46503606,0.46594727,0.46720085,0.46424162,0.4539911,0.43831158,0.4221897,0.41134652,0.40898955,0.4161619,0.43267,0.45540038,0.47747836,0.4879119,0.4779894,0.44480142,0.39431635,0.33782044,0.2861962,0.24621962,0.21958269,0.20972085,0.21927686,0.24689348,0.28003433,0.3043177,0.31177768,0.30521607,0.29001477,0.27389565,0.2701924,0.2987951,0.3679756,0.4601058,0.53399247,0.55556536,0.5191749,0.44932255,0.3745873,0.3118374,0.26237997,0.22465158,0.19872205,0.18732452,0.1922281,0.21343933,0.24668558,0.28147674,0.30453956,0.30997577,0.30641508,0.31276408,0.34109282,0.3867315,0.4293314,0.45102707,0.44600698,0.4244648,0.40148506,0.38928127,0.3900876,0.39674947,0.39903858,0.3904413,0.37434506,0.3592701,0.35422954,0.36112997,0.37714353,0.39815363,0.42505977,0.4626694,0.5130766,0.56698924,0.6037019,0.603313,0.5627003,0.49953988,0.44058487,0.4040409,0.39215863,0.39573577,0.40398827,0.4101878,0.41269335,0.41251567,0.4119538,0.41238216,0.4142433,0.41703817,0.4217738,0.43176028,0.44876114,0.46940312,0.4832386,0.48131272,0.46067587,0.427477,0.3904861,0.35803977,0.3350941,0.32303813,0.32015768,0.32272133,0.32743672,0.33150005,0.3328923,0.33047333,0.32506636,0.32098857,0.32556677,0.3487244,0.39658546,0.465292,0.5359857,0.5835841,0.59150153,0.56356317,0.5197353,0.48199788,0.46193323,0.4587668,0.4646325,0.4709088,0.47137085,0.4636786,0.4490613,0.43202722,0.41749826,0.40857783,0.40473226,0.4046525,0.40847793,0.41813692,0.4333012,0.4497875,0.46197727,0.46727845,0.4663463,0.4610531,0.45210692,0.44106147,0.42960176,0.41980508,0.41184118,0.40582466,0.40169528,0.39931414,0.39719045,0.39291346,0.38633907,0.38263062,0.39365634,0.42912897,0.4865694,0.5451347,0.57905513,0.5737074,0.5354652,0.48260304,0.43338344,0.39838067,0.37956306,0.37234768,0.36815715,0.36119422,0.3515729,0.34547254,0.34811744,0.3599515,0.37661567,0.39377284,0.4101039,0.42350197,0.42889714,0.41745237,0.3862882,0.33868894,0.28382468,0.22792673,0.17774493,0.14191999,0.13283001,0.15737225,0.21075003,0.27561918,0.3317189,0.36484838,0.3715806,0.35682082,0.3302114,0.30249166,0.28224012,0.2729038,0.27250218,0.2757302,0.27695844,0.2708713,0.2538739,0.22497432,0.18756269,0.14764984,0.11133426,0.082626574,0.063343965,0.054601695,0.05633292,0.067103,0.08237391,0.09630527,0.10472862,0.1096707,0.12029954,0.14638166,0.18957001,0.23739822,0.27188584,0.28078035,0.26715484,0.24410786,0.2269867,0.224337,0.23615609,0.25469208,0.27060732,0.27907982,0.28300154,0.28948972,0.30337515,0.3229467,0.3405427,0.34838805,0.3440168,0.33293167,0.32376096,0.3218494,0.3242341,0.32282117,0.31063864,0.28784895,0.26106802,0.23823304,0.22295482,0.2128197,0.20320505,0.19206928,0.18212365,0.17793106,0.18053955,0.1855831,0.1855249,0.1768906,0.16370668,0.156123,0.16337769,0.18786019,0.22426908,0.26229617,0.29235098,0.3088393,0.31226265,0.3069065,0.2981242,0.28951815,0.2828617,0.27820733,0.275,0.27206537,0.2689667,0.2658073,0.26268938,0.25783843,0.24814111,0.23253693,0.21543221,0.2041263,0.20195709,0.20265819,0.19597332,0.17596662,0.14728443,0.119102746,0.098630905,0.08659642,0.08026565,0.07631015,0.07280326,0.06896079,0.06488361,0.061113536,0.05824971,0.05651666,0.055730317,0.05540811,0.054964885,0.05389561,0.051938966,0.049273323,0.0463434,0.043693036,0.041600693,0.040208932,0.039744485,0.040909708,0.04460573,0.05127321,0.060241252,0.0699945,0.0789248,0.086007975,0.0907541,0.09311985,0.09349992,0.09280463,0.092180945,0.0925832,0.09479427,0.0991495,0.10518926,0.11077807,0.1129672,0.10995931,0.10333226,0.09747985,0.0965986,0.10162585,0.11005497,0.118268825,0.12408493,0.12742741,0.13015221,0.13483621,0.14344692,0.15590483,0.17114103,0.18958713,0.21365769,0.24464913,0.27884406,0.30871996,0.32759532,0.3340241,0.3312206,0.3244902,0.3188883,0.31793213,0.3224039,0.32942793,0.33435902,0.33269083,0.32183814,0.30109715,0.2752522,0.25760868,0.2683488,0.32122955,0.4094243,0.50205606,0.5615008,0.5660477,0.52226365,0.45558646,0.39235923,0.3473653,0.3224986,0.31307182,0.31195202,0.31397474,0.31571844,0.31632945,0.31578138,0.31464276,0.31513992,0.3202478,0.33434737,0.35743108,0.38601515,0.40992817,0.42110917,0.41472593,0.39538035,0.37065408,0.34987798,0.3378221,0.33532825,0.3374447,0.3373399,0.3295569,0.31480315,0.29806468,0.28526428,0.27806887,0.27505413,0.27566206,0.28600016,0.318799,0.3815814,0.46383682,0.5318682,0.55158615,0.51186836,0.43726146,0.36551902,0.32317412,0.31112817,0.31463575,0.31794456,0.3137184,0.30409715,0.2955862,0.29444823,0.30193913,0.3146558,0.32788435,0.34016427,0.35545897,0.37643918,0.4006703,0.41681084,0.41677794,0.3993959,0.37480712,0.35318246,0.34195408,0.3420763,0.35127342,0.36386466,0.37301275,0.37396085,0.3681778,0.3619871,0.36161485,0.3663669,0.3715055,0.37504855,0.38577136,0.4163816,0.47054437,0.5320754,0.57377625,0.57623774,0.5425006,0.49339035,0.4519701,0.42941666,0.42301217,0.42243934,0.418962,0.4101646,0.39912054,0.38991287,0.38451445,0.38290516,0.3853213,0.3928313,0.40701446,0.42643678,0.4467877,0.4605091,0.46296176,0.45317104,0.43543932,0.41420534,0.3932977,0.37436104,0.35811147,0.3441331,0.3315606,0.32005927,0.31070134,0.3053776,0.30565944,0.31110856,0.319944,0.33178726,0.351419,0.38906822,0.44962278,0.5230326,0.58028984,0.5944118,0.5575854,0.4907378,0.42363432,0.3776571,0.35500613,0.3471186,0.3437933,0.34004828,0.33662677,0.33757362,0.34641626,0.36215553,0.37921616,0.39122388,0.3961842,0.3987825,0.4044907,0.4150087,0.4233681,0.42249373,0.40862513,0.38752756,0.36766812,0.35755745,0.3595246,0.37026525,0.3827103,0.39143467,0.39606258,0.39960515,0.40377912,0.40575707,0.4003811,0.3861983,0.37057868,0.37002078,0.40014744,0.46205816,0.5328807,0.5781346,0.57410973,0.52676874,0.4636354,0.41372216,0.3886987,0.3826667,0.3815669,0.37453198,0.36025682,0.3455106,0.34000245,0.3480449,0.36646092,0.38713372,0.403561,0.41558114,0.42627037,0.43856803,0.44844985,0.45038292,0.43955025,0.41949534,0.39726517,0.38140813,0.37533703,0.3776482,0.38195065,0.38124397,0.37133682,0.35418692,0.33566222,0.32186309,0.31455255,0.31295407,0.31773224,0.3356671,0.3764572,0.44125712,0.51334804,0.56058604,0.5584809,0.5072081,0.43410733,0.36946678,0.3296983,0.3109599,0.30249038,0.29512668,0.28727463,0.2818655,0.2837038,0.295117,0.31368324,0.33343366,0.3487865,0.3596617,0.37180093,0.3906561,0.41536033,0.43624222,0.44439104,0.43700746,0.42129132,0.40593398,0.39788604,0.39898288,0.4082888,0.42201516,0.4341291,0.43924513,0.4354892,0.4265261,0.41690302,0.408928,0.4021553,0.4004217,0.414014,0.4533724,0.5142731,0.57345057,0.6007429,0.5819249,0.5280084,0.4656992,0.41744766,0.3907487,0.3801746,0.37593412,0.3712552,0.36490133,0.3607916,0.36343527,0.37362885,0.38651562,0.3963008,0.40187767,0.40886864,0.42271948,0.4427024,0.4597229,0.46521616,0.4565501,0.43994892,0.42321682,0.41172805,0.40549943,0.40214399,0.39911282,0.39512002,0.38997665,0.38392997,0.3781484,0.3741238,0.3729333,0.3742416,0.37939826,0.39451328,0.42968038,0.48689762,0.55042654,0.5895826,0.58192015,0.53087044,0.4631571,0.4059969,0.37021902,0.35153294,0.3415445,0.33555675,0.3321294,0.3313116,0.33370867,0.3397235,0.3482896,0.35573804,0.35951543,0.36114618,0.3684331,0.38645592,0.41334522,0.43657508,0.4460378,0.4383178,0.42211756,0.40811095,0.4051745,0.41367802,0.4276195,0.4373187,0.43606102,0.42381763,0.40744522,0.39529347,0.3915653,0.39246663,0.39160934,0.38795695,0.39242563,0.41903293,0.46940705,0.5228374,0.5484915,0.52967507,0.4760739,0.4140663,0.364117,0.33203152,0.31257224,0.30049062,0.29364124,0.29281592,0.3000935,0.31599322,0.3382419,0.3599733,0.3757752,0.3841356,0.38988325,0.39676425,0.4049897,0.4093558,0.40585625,0.39365792,0.37703046,0.36173585,0.35306534,0.3528041,0.35854447,0.36490408,0.367193,0.36423305,0.3596691,0.3584994,0.36445484,0.3753706,0.38599882,0.39203212,0.3980515,0.41608676,0.4551238,0.50768137,0.54869276,0.5535782,0.5171404,0.45796776,0.4016223,0.36452973,0.34827828,0.34723935,0.35455546,0.3655715,0.37646356,0.38526213,0.39115524,0.39512798,0.39809465,0.4015205,0.40632915,0.4144164,0.42570892,0.43860734,0.44736168,0.44691584,0.43400347,0.41140756,0.38587642,0.36705825,0.36233208,0.37212482,0.38811943,0.39779973,0.39338136,0.3767346,0.3567964,0.34167632,0.33283496,0.32783654,0.32742444,0.34202778,0.38310862,0.44984165,0.51845336,0.55690455,0.5461735,0.4955046,0.4313557,0.37888333,0.3477875,0.33347812,0.32540068,0.31638798,0.3068714,0.30227682,0.30669227,0.31841066,0.3308754,0.33843723,0.34109178,0.3461928,0.3619306,0.39075932,0.42426214,0.44958207,0.45690504,0.44618902,0.424422,0.40132228,0.38435194,0.3766397,0.3757398,0.37576184,0.3712524,0.36193177,0.35170794,0.34553078,0.3442156,0.34658396,0.3531352,0.37107217,0.40878287,0.46624294,0.5268355,0.5647109,0.5621364,0.52283233,0.4685187,0.42215204,0.39489076,0.38394642,0.380607,0.3767804,0.3691291,0.3585631,0.34919682,0.34483445,0.34697047,0.35422203,0.36464563,0.37725154,0.3924738,0.40968406,0.42591798,0.43544784,0.43439794,0.42303714,0.4064987,0.39014006,0.37762392,0.37048134,0.36924216,0.37272277,0.37747476,0.37958875,0.3774508,0.37246433,0.366717,0.36057663,0.35485676,0.35477504,0.37230015,0.41631523,0.48093978,0.5394655,0.5612027,0.5330366,0.46982893,0.40107235,0.34969273,0.32315576,0.31626692,0.32156968,0.33163595,0.34127605,0.3461111,0.34488264,0.3388836,0.3304396,0.32218376,0.31670317,0.31963435,0.33476543,0.36190414,0.39078856,0.4093574,0.40803024,0.38834906,0.3580036,0.32894278,0.30963004,0.30433497,0.31041256,0.3223668,0.33364126,0.34088144,0.3424544,0.33850697,0.32789373,0.31157354,0.2955725,0.29571053,0.3285925,0.39751717,0.47945282,0.53654844,0.54048806,0.49393073,0.42421424,0.361899,0.3218989,0.30294177,0.29690757,0.2971538,0.3002697,0.3051127,0.3107538,0.31645927,0.3198475,0.31890896,0.31357098,0.30946836,0.3153307,0.33568645,0.36497223,0.38893643,0.3961407,0.38470972,0.36353362,0.3440061,0.3350004,0.3387638,0.3517928,0.36641493,0.37630388,0.37933227,0.37861148,0.37744784,0.3769796,0.3742932,0.36898565,0.36721924,0.38482106,0.43301067,0.50516456,0.56958586,0.5916675,0.55723566,0.48411343,0.40354827,0.3396646,0.29940763,0.27897587,0.27127078,0.26978323,0.2696046,0.2684251,0.26644322,0.2646785,0.26285324,0.26085714,0.26088905,0.26997626,0.29310343,0.32832637,0.3616872,0.37875327,0.37159023,0.3467454,0.31657842,0.29424003,0.28539976,0.28881985,0.2969274,0.3015745,0.2977458,0.28576693,0.26923478,0.25252944,0.23869777,0.22822304,0.22017415,0.21348111,0.20990942,0.21102978,0.21601437,0.2179281,0.20965905,0.18810578,0.15823261,0.12755315,0.10212966,0.08345751,0.07068861,0.062168214,0.0565515,0.052553955,0.04930085,0.04654084,0.04498059,0.045473576,0.048540402,0.053751875,0.060309578,0.0672758,0.073966086,0.079691045,0.08381193,0.08575096,0.08533966,0.083143555,0.08081369,0.0808372,0.085300386,0.09480977,0.108528435,0.12653965,0.15037157,0.18162148,0.21830447,0.25467145,0.2841755,0.30274072,0.31107822,0.3124962,0.31225237,0.31309485,0.31609815,0.31963918,0.32327232,0.3271563,0.3326222,0.34018484,0.3482305,0.35262978,0.34759045,0.33214116,0.31165078,0.2973965,0.2952828,0.30325964,0.31145954,0.3143756,0.31398574,0.3197247,0.33621815,0.35808858,0.3690575,0.35660896,0.32180032,0.28329438,0.26198757,0.2679932,0.29277277,0.3194383,0.33273533,0.32896566,0.31424093,0.3009621,0.29812798,0.3058778,0.31544474,0.3165697,0.30701077,0.2941241,0.29049313,0.30289194,0.32790804,0.3538687,0.37009487,0.37255034,0.36421847,0.3499485,0.33394966,0.31784126,0.30383825,0.2932687,0.2886891,0.2907114,0.29915985,0.31026098,0.3173528,0.31414297,0.30027345,0.28607467,0.28675464,0.31313145,0.36178347,0.4177792,0.46441665,0.49260607,0.5011601,0.49172354,0.46696138,0.43315294,0.40078935,0.37888774,0.36869487,0.36396277,0.35832918,0.35028672,0.34223136,0.33569512,0.3315753,0.3347402,0.35381934,0.3938448,0.44603214,0.4917353,0.51485497,0.51434773,0.5015253,0.48941496,0.48406306,0.484055,0.48585543,0.48663485,0.48602095,0.483248,0.47870293,0.47169447,0.46315658,0.45286906,0.44279063,0.4365357,0.43884876,0.4511136,0.46749178,0.47864774,0.47554544,0.45527133,0.42005315,0.3773525,0.33683538,0.30667713,0.288877,0.27789438,0.26461998,0.24269474,0.21245135,0.17963547,0.15059412,0.12856533,0.11379886,0.10646796,0.10795498,0.11886853,0.13579746,0.1516379,0.16045669,0.16310912,0.1687733,0.18865885,0.2282678,0.28141737,0.3347516,0.3744675,0.39478287,0.39704362,0.38676667,0.36721763,0.3398138,0.30604422,0.27263948,0.24951035,0.24533935,0.25871608,0.27854624,0.289683,0.2853209,0.27068758,0.25918284,0.2623367,0.28340527,0.31607676,0.34699705,0.36192,0.35395995,0.32953107,0.3049276,0.29441118,0.29865205,0.3055025,0.30272138,0.29207456,0.29134527,0.3189918,0.37822077,0.45034257,0.5107842,0.54464597,0.55517524,0.5544805,0.55217576,0.55103976,0.5479126,0.5413279,0.53217417,0.52618676,0.5271782,0.5355949,0.54577476,0.5522483,0.5524711,0.54928225,0.5461712,0.5447225,0.543132,0.5385647,0.52963257,0.51668376,0.5011588,0.48264256,0.45872876,0.42515576,0.37977114,0.32466534,0.26793793,0.21956892,0.18653704,0.16770045,0.15589906,0.1432373,0.12761523,0.11376539,0.11065882,0.12594877,0.16095142,0.20831132,0.25434896,0.28617635,0.29725954,0.2891685,0.26740223,0.23813623,0.205959,0.17460184,0.14654131,0.1230509,0.10383207,0.088023596,0.07499346,0.064899124,0.058443632,0.0573364,0.06500388,0.086478226,0.124042064,0.17256218,0.21747477,0.24219972,0.23698656,0.20528452,0.15979685,0.11499578,0.0799401,0.056757923,0.043160316,0.03641012,0.03614278,0.04402642,0.060515832,0.08113123,0.09721148,0.10214624,0.09811021,0.095637254,0.10488988,0.12744945,0.15506369,0.17743541,0.18849038,0.18875353,0.18207234,0.17311181,0.1662816,0.1645298,0.16863555,0.17585282,0.18176563,0.1827476,0.17856838,0.17263353,0.1689452,0.1695201,0.17268239,0.17540307,0.17551102,0.17348187,0.17172359,0.17262752,0.17678434,0.18208843,0.18533795,0.18438244,0.18011428,0.17555763,0.17365634,0.17489119,0.17734347,0.17853,0.1776639,0.17629492,0.17684817,0.18049963,0.1857276,0.18895787,0.18665637,0.17811435,0.16658485,0.15753518,0.15476169,0.15739511,0.16060926,0.15928946,0.15194255,0.1413908,0.13242675,0.12834054,0.12937014,0.13348691,0.13827632,0.14254613,0.1467101,0.1524081,0.16099997,0.17256762,0.18567169,0.19831832,0.20867129,0.21535535,0.21841274,0.22063047,0.22776933,0.24505925,0.27258787,0.30322978,0.32730976,0.33888343,0.34010634,0.33729908,0.3360586,0.33725134,0.34010994,0.3456254,0.35871604,0.38563803,0.43012008,0.4881579,0.5475847,0.59087926,0.60631055,0.59286594,0.56213903,0.52822846,0.5028444,0.4899083,0.4883685,0.49305502,0.49846506,0.50004333,0.49565697,0.48614833,0.47498223,0.46653137,0.4633254,0.46532142,0.47238377,0.4838784,0.4986467,0.5114475,0.51904565,0.5198466,0.51611274,0.50591975,0.4861612,0.45472217,0.41724172,0.3837503,0.3631902,0.3571136,0.35964346,0.36235735,0.36034104,0.35476828,0.35183904,0.3596474,0.38758633,0.4397973,0.5093083,0.57139784,0.5979142,0.5751452,0.5174889,0.453131,0.40383837,0.37383118,0.35816208,0.35222623,0.35272262,0.35362604,0.34821895,0.3345509,0.3171886,0.30171278,0.2910588,0.28687978,0.294436,0.32054365,0.36740968,0.4256612,0.47888458,0.5129996,0.5253311,0.5231421,0.5165687,0.51273435,0.51399446,0.5199734,0.5279745,0.5342962,0.5354231,0.53068715,0.5226608,0.5144296,0.5074366,0.5023987,0.50416476,0.5204229,0.554523,0.5962909,0.6256475,0.6259133,0.59687644,0.55346626,0.51397765,0.48865572,0.47749427,0.4754587,0.47830093,0.48486504,0.49480033,0.5059223,0.51401687,0.516262,0.51381177,0.5110195,0.5117031,0.51701283,0.524983,0.5328159,0.53731656,0.5367704,0.5292958,0.5132229,0.4863336,0.44931838,0.40767136,0.37100443,0.3480005,0.34129104,0.34726188,0.35945418,0.37296566,0.3836466,0.386232,0.3758234,0.35621002,0.3465744,0.3706931,0.43557128,0.5133011,0.5585921,0.54087406,0.47181514,0.3922809,0.3415345,0.33046558,0.34249738,0.35305968,0.3480095,0.33015075,0.31038705,0.29812184,0.29482386,0.29720756,0.30212852,0.31100535,0.3299801,0.36365604,0.41030505,0.4583591,0.49558738,0.515013,0.51993227,0.5166791,0.51120704,0.50593305,0.50190467,0.4974887,0.49055445,0.48032752,0.47163728,0.47072387,0.4812907,0.49976078,0.5203207,0.53901273,0.557993,0.5819059,0.6128824,0.6443236,0.6629165,0.6566591,0.6253903,0.5812049,0.53993756,0.51037675,0.49161002,0.47782686,0.46473467,0.45181036,0.4417453,0.43710294,0.43952593,0.44764927,0.45913854,0.47103074,0.48245025,0.49380812,0.5050442,0.5133969,0.5140483,0.50451803,0.48593518,0.4611057,0.42921102,0.38727912,0.3361552,0.2863508,0.2540451,0.24928458,0.26839066,0.29665875,0.31969312,0.32779422,0.31674346,0.2888411,0.26069784,0.2622435,0.31732336,0.41948423,0.5252095,0.58284664,0.56634057,0.49239293,0.39929512,0.31937608,0.2617701,0.22007604,0.18598293,0.15795732,0.14110035,0.14267462,0.167409,0.21095963,0.25858536,0.29233918,0.30581483,0.31140018,0.32950354,0.37074184,0.42472124,0.47171268,0.49656692,0.5005249,0.4938078,0.48891282,0.4913217,0.5009057,0.51265407,0.52232957,0.5276291,0.5293891,0.5291917,0.52841586,0.52834064,0.53019017,0.53632444,0.54910636,0.57058316,0.59770346,0.62076396,0.6256654,0.60470897,0.5635825,0.5196466,0.48981297,0.48080313,0.48795962,0.50177306,0.5146454,0.523087,0.52632886,0.52511096,0.52073914,0.5157717,0.5115223,0.5091293,0.50851077,0.5116072,0.51775545,0.5238023,0.5217058,0.5073555,0.4821454,0.45520106,0.43585265,0.43041778,0.4387286,0.45467246,0.4695946,0.47638202,0.47386253,0.46566775,0.4570155,0.45058274,0.44469354,0.4380692,0.4345666,0.44738087,0.4862663,0.5462974,0.6002943,0.62100834,0.5988292,0.55165195,0.50317365,0.46821287,0.4461083,0.43189892,0.42154816,0.41282347,0.4035058,0.39263737,0.38206616,0.37582216,0.37666753,0.38525334,0.39956498,0.41974056,0.44601092,0.47842035,0.5095325,0.5296304,0.53006256,0.512199,0.4836328,0.45472074,0.43227574,0.418753,0.41213405,0.407768,0.40207314,0.39607343,0.39510784,0.40406206,0.42187515,0.442752,0.46191522,0.48212972,0.51066303,0.5504448,0.59174865,0.61621505,0.60985094,0.57410747,0.52523386,0.48288944,0.4595522,0.45531,0.4619118,0.4687958,0.47046494,0.46786526,0.46621296,0.46922287,0.47592816,0.48194835,0.48449042,0.48583636,0.49118653,0.50192326,0.5131659,0.5169069,0.50983024,0.49294117,0.46810055,0.4332017,0.387637,0.33811155,0.30002177,0.28771654,0.3039471,0.33691058,0.3679892,0.38303792,0.3787507,0.36170197,0.34491637,0.34386268,0.37350854,0.4375607,0.52143747,0.59120417,0.6150532,0.5818272,0.50923485,0.42503896,0.34912345,0.28522465,0.23026787,0.18363632,0.15057029,0.13745286,0.14617008,0.17005102,0.19580679,0.20948356,0.20673855,0.197918,0.20551981,0.24700175,0.32110536,0.40343204,0.46644035,0.49577165,0.49895462,0.49172914,0.48727882,0.4893955,0.49591383,0.5027903,0.50690776,0.50721866,0.5036935,0.49663725,0.48701146,0.47682986,0.470145,0.4718727,0.4879738,0.5215614,0.5682737,0.6119969,0.631109,0.61233634,0.56196123,0.5026609,0.45788586,0.4387022,0.44106376,0.45400906,0.46710253,0.47576427,0.48060068,0.48588714,0.49376822,0.5016844,0.50320864,0.49577713,0.48444054,0.4793541,0.4861615,0.50224566,0.51917535,0.5304909,0.5329952,0.52503914,0.5042916,0.4708461,0.4305412,0.39304313,0.36656725,0.35286555,0.34934446,0.35145998,0.35514045,0.3545744,0.344466,0.3252177,0.30907962,0.31766763,0.3651329,0.44324002,0.5176518,0.5538087,0.53965396,0.49544597,0.45083383,0.4243778,0.4145247,0.4113154,0.4071093,0.40127853,0.3970693,0.3987811,0.40929613,0.42947266,0.4565597,0.48603976,0.51282924,0.5347407,0.54981804,0.5564034,0.55106807,0.53429514,0.51101416,0.4907551,0.4808662,0.48267952,0.49111804,0.49827337,0.49924383,0.49327135,0.483817,0.47419658,0.46695212,0.46265885,0.461826,0.46543667,0.47664985,0.5005303,0.540104,0.59014887,0.6340584,0.6523912,0.6360178,0.5939577,0.5454863,0.5067599,0.48257697,0.46930817,0.46149477,0.45642114,0.45394397,0.45444632,0.4570813,0.4602101,0.46292412,0.4657494,0.47014537,0.47740832,0.48782405,0.49956548,0.5095362,0.5149698,0.5163302,0.5150242,0.51126117,0.50143945,0.48176384,0.45225704,0.4186612,0.39081264,0.37653208,0.37823412,0.39045098,0.40428782,0.41234353,0.41307405,0.41220212,0.42038044,0.45025715,0.50493807,0.57206964,0.62276715,0.6332156,0.59901077,0.54102784,0.4846603,0.4458622,0.4239422,0.4119021,0.4024874,0.39327276,0.38397792,0.37685266,0.3729593,0.37290338,0.37457535,0.37748554,0.38314915,0.39713767,0.42210102,0.45513818,0.48555365,0.50480413,0.5105099,0.5091714,0.5073607,0.5086398,0.5116578,0.5143796,0.515841,0.51638526,0.5162703,0.5141222,0.50830597,0.49865636,0.48822275,0.4819543,0.4851049,0.50280285,0.5368553,0.5824341,0.62353206,0.6421476,0.6288855,0.59276557,0.5515495,0.51977044,0.5000495,0.4881645,0.47933498,0.47122243,0.46277103,0.45333937,0.44336998,0.43442464,0.4284762,0.42660797,0.42897177,0.43550313,0.44582558,0.45833507,0.4691876,0.4751046,0.4753553,0.47176918,0.463151,0.44439062,0.4102839,0.36404738,0.31697783,0.28165582,0.26200107,0.2529142,0.24574672,0.23615938,0.22504325,0.21653712,0.2162952,0.23345476,0.28043023,0.3619827,0.46382925,0.55047995,0.5889707,0.57023877,0.5166545,0.45940435,0.41884783,0.39591882,0.38274953,0.37149784,0.35897243,0.34444287,0.32832536,0.31136683,0.29499567,0.28080904,0.2709459,0.26836398,0.2779756,0.30097902,0.33157226,0.35400823,0.35548508,0.33297583,0.29786956,0.26317558,0.23730786,0.22032823,0.2098739,0.20336777,0.19915895,0.19555373,0.19101594,0.18482874,0.17744213,0.17053562,0.16611154,0.16585079,0.17036259,0.17859703,0.18737744,0.19205046,0.18922742,0.17933665,0.16659589,0.15627809,0.15087955,0.14932983,0.14732295,0.14115368,0.12977351,0.116531886,0.10586568,0.09986806,0.096378386,0.09167593,0.08482843,0.0790867,0.08023286,0.09139124,0.110702075,0.13082947,0.14429198,0.14736593,0.14256561,0.13486129,0.1280201,0.12217927,0.11579431,0.10779416,0.0991746,0.09189271,0.08778832,0.08668605,0.08712844,0.08687804,0.08569286,0.08505561,0.088245116,0.097351454,0.112306796,0.1293426,0.14304894,0.14894216,0.14684008,0.14014514,0.13312612,0.1277944,0.12443096,0.12345909,0.12648481,0.13454218,0.14588444,0.15620244,0.16214627,0.16510272,0.17063133,0.1833259,0.20239137,0.22349949,0.24371839,0.2638795,0.28404403,0.30106544,0.30968553,0.30934858,0.30484983,0.30346483,0.30841383,0.31787932,0.32718846,0.33257875,0.33225384,0.325449,0.3115168,0.29037344,0.26389936,0.23704262,0.21714063,0.2114423,0.22266418,0.24614616,0.27010623,0.28156438,0.27263096,0.2447369,0.20628734,0.16793843,0.13758233,0.11926189,0.114896975,0.12565057,0.15024245,0.18093385,0.20375283,0.20659196,0.1886477,0.16360526,0.1478929,0.14982657,0.1633097,0.1777937,0.18525837,0.18537672,0.18052487,0.17413716,0.16886605,0.16865142,0.1753875,0.18667167,0.1922751,0.18199682,0.15236352,0.1128101,0.07692128,0.054338526,0.044490743,0.041573863,0.03982423,0.03767091,0.03660434,0.03932791,0.047013137,0.058659166,0.070890486,0.08031803,0.085035175,0.08580638,0.08474805,0.08404672,0.08500192,0.087997645,0.09282791,0.09868601,0.10463246,0.10965391,0.11318395,0.11489696,0.11504441,0.11423019,0.113152,0.11153826,0.10820404,0.10249973,0.09659057,0.09574216,0.10581207,0.13051294,0.16859758,0.21432392,0.2568972,0.2853079,0.29195774,0.27856094,0.254828,0.23266275,0.21784085,0.20551483,0.18721716,0.16027443,0.13541321,0.12872832,0.14913958,0.18864699,0.22750194,0.24733536,0.24193227,0.21850641,0.19085406,0.17147724,0.1660948,0.17272277,0.18507536,0.19766603,0.20945777,0.22283532,0.24015959,0.26079553,0.28099158,0.29601213,0.3017579,0.29527918,0.27448556,0.23934342,0.194003,0.14690728,0.10764738,0.081572354,0.067867346,0.06129769,0.057045892,0.05278343,0.048728857,0.04530191,0.04243103,0.039401222,0.035942316,0.03249715,0.03001652,0.029299306,0.030642772,0.03420821,0.040277448,0.048979312,0.059576843,0.070475064,0.080263935,0.08873889,0.09668175,0.10473746,0.11250199,0.11897399,0.12327812,0.12522721,0.124993555,0.12305349,0.12039057,0.11853754,0.1188283,0.1211749,0.123887025,0.12477086,0.12242377,0.1165838,0.107314266,0.095006704,0.081319846,0.07083437,0.070608966,0.08622944,0.116418086,0.15063266,0.17545788,0.18378396,0.18056832,0.17549466,0.17390262,0.17199089,0.16465612,0.15222365,0.14198257,0.14206906,0.15589069,0.180017,0.20467305,0.21862222,0.21498555,0.19641393,0.17247118,0.15362746,0.14513262,0.14631645,0.1517527,0.15488894,0.15222798,0.14755704,0.14990194,0.16574158,0.19123925,0.21360207,0.22095378,0.21177448,0.1952946,0.18260263,0.17833835,0.17932554,0.18029629,0.17874686,0.1755514,0.17341869,0.17407237,0.1771506,0.17747211,0.1696241,0.15219937,0.13399222,0.12738629,0.14092691,0.17086692,0.20500308,0.22951847,0.23708059,0.22931762,0.21445946,0.2025044,0.1987356,0.20183508,0.20507075,0.20133787,0.18616064,0.15926005,0.124497175,0.08892229,0.0603013,0.043991465,0.04106474,0.048749644,0.06172205,0.07399807,0.08120736,0.08362085,0.087338746,0.10056731,0.12687854,0.16005607,0.18726738,0.19692113,0.18607235,0.16178997,0.13708171,0.12619147,0.13718067,0.16964872,0.21284045,0.2537657,0.28186062,0.2944468,0.29334202,0.28332725,0.26928663,0.25798988,0.25823328,0.28134236,0.33280626,0.40478352,0.47134474,0.50433934,0.49273053,0.45533523,0.42712605,0.4330502,0.46912798,0.5055973,0.5126049,0.48338318,0.44217768,0.4244481,0.4495367,0.5027872,0.5452885,0.5436683,0.49706557,0.44014907,0.41561377,0.44187462,0.49714208,0.5390344,0.53727746,0.49810597,0.45724642,0.44934306,0.48108006,0.52437663,0.5433803,0.5215587,0.47769478,0.4474229,0.45555088,0.4964955,0.53902984,0.5536937,0.5342265,0.50465894,0.49534622,0.51925826,0.55819637,0.58002454,0.5641568,0.52008736,0.47975942,0.4728657,0.50413066,0.5479598,0.56846046,0.5458449,0.4948143,0.4542373,0.45666602,0.50169915,0.55274725,0.56899136,0.5358593,0.47997734,0.44430706,0.45593166,0.50419766,0.55072314,0.5602526,0.5266598,0.47800353,0.4518571,0.46746883,0.51018435,0.54667205,0.55084294,0.5248445,0.494488,0.48795614,0.51306623,0.5503666,0.56970793,0.5534862,0.5137258,0.48138213,0.4829401,0.5178472,0.5606106,0.5827561,0.57407385,0.5467342,0.5183254,0.49817905,0.4840698,0.47167024,0.4594586,0.44821826,0.43792486,0.42748234,0.41707495,0.40789154,0.40212533,0.40148905,0.40866008,0.4263545,0.45456347,0.48758903,0.5140927,0.5244737,0.5156264,0.49242008,0.46152315,0.42813706,0.3954219,0.36582968,0.34144604,0.32326075,0.31182972,0.30698773,0.30743954,0.31041142,0.31272146,0.31389117,0.319109,0.3412292,0.39275756,0.472752,0.5559129,0.605934,0.5997557,0.54601127,0.47192428,0.4016542,0.3438413,0.30049536,0.27559802,0.27241275,0.2862636,0.30361256,0.31253543,0.3098671,0.30110884,0.29335526,0.29201403,0.30242375,0.3305507,0.37744376,0.43398115,0.48275527,0.5108276,0.51701355,0.5110343,0.5018838,0.49339238,0.4848175,0.4768183,0.47179177,0.4724004,0.4787837,0.48847523,0.49697375,0.50012976,0.49595547,0.48810875,0.4850963,0.4998035,0.53786963,0.59172124,0.63573927,0.64595515,0.6150568,0.56202143,0.51318115,0.4850042,0.4744834,0.46946716,0.46023163,0.4455361,0.4301007,0.4191614,0.4155638,0.4176923,0.4214894,0.4229338,0.42329428,0.42916116,0.44675437,0.4739871,0.4989706,0.50923675,0.50054425,0.4789139,0.45252988,0.42618823,0.40018263,0.37454048,0.34975955,0.32674,0.30559206,0.28748766,0.2743549,0.26679066,0.2607179,0.25126132,0.24139054,0.24946535,0.2974528,0.3897589,0.49619946,0.56990963,0.579016,0.53115165,0.45906678,0.39360464,0.34546375,0.31200525,0.29043028,0.28124353,0.28430462,0.29360643,0.30175757,0.30350217,0.3003496,0.29730162,0.30184683,0.31917223,0.35217372,0.39676037,0.4431571,0.4769505,0.4901801,0.4844965,0.4709885,0.4578646,0.44726673,0.43532875,0.42076835,0.40612864,0.3969065,0.3963172,0.40376773,0.41481563,0.424052,0.4271275,0.42528018,0.42654344,0.44554117,0.48964572,0.55005217,0.5979789,0.6072402,0.570663,0.5069639,0.44090065,0.3887315,0.35372958,0.33506298,0.3319976,0.34250662,0.36016282,0.37648907,0.3848492,0.38409877,0.37728837,0.37051332,0.3695029,0.3797878,0.40147772,0.42893597,0.44768712,0.4460803,0.4202822,0.3802333,0.3377384,0.30048963,0.2682363,0.2403655,0.22031616,0.2139116,0.22326012,0.24189198,0.25880432,0.26435825,0.25562236,0.23783338,0.22534268,0.24138169,0.3048897,0.4128119,0.52801734,0.5989938,0.59310704,0.51970804,0.41792807,0.3267338,0.26484677,0.23170446,0.21935664,0.21879251,0.22163717,0.22144689,0.21669851,0.21040304,0.20521827,0.20090269,0.1979084,0.20404015,0.23184001,0.28682804,0.3566947,0.41618717,0.44438937,0.43831274,0.4118669,0.38320768,0.36453032,0.35838342,0.36079574,0.36534226,0.36772427,0.3675885,0.3675239,0.36971477,0.37336588,0.37579396,0.3774383,0.3866583,0.41799036,0.47813377,0.5536535,0.61093414,0.6201981,0.576492,0.5042295,0.43520927,0.38789722,0.3608605,0.34316072,0.32642695,0.3093727,0.29575562,0.28907406,0.2897893,0.29432252,0.2981483,0.29957554,0.30309972,0.31749794,0.34702954,0.38463852,0.41231653,0.41623858,0.3957655,0.36463693,0.3363087,0.31783462,0.3074127,0.30182195,0.2967744,0.29015842,0.28052047,0.26952147,0.2592175,0.25164858,0.24687517,0.24342118,0.23905025,0.23243003,0.22505313,0.21910442,0.21468656,0.20758481,0.1943544,0.17588711,0.15819606,0.14567268,0.1386497,0.1339435,0.13022001,0.12833162,0.13007277,0.13481502,0.13998836,0.1427173,0.14228977,0.14040315,0.13950963,0.14084472,0.14348382,0.14586604,0.14728944,0.14879432,0.15179886,0.15659213,0.16197334,0.16596414,0.16769718,0.16721173,0.16595502,0.16576177,0.16993593,0.18241899,0.20605063,0.23961902,0.27711952,0.31067488,0.33629093,0.3573414,0.3848642,0.42667902,0.47863123,0.51859826,0.52318394,0.48346928,0.41567445,0.34566537,0.29225835,0.25623628,0.22794099,0.1986748,0.16925119,0.1494074,0.14862166,0.16705374,0.19080478,0.20198311,0.19075882,0.16502006,0.14337856,0.1414293,0.1586295,0.17844008,0.18229105,0.16429703,0.13760261,0.12223911,0.13266915,0.1660866,0.20816188,0.23827821,0.24409485,0.22603202,0.20016603,0.18591224,0.19288184,0.21300463,0.22729647,0.22179683,0.19849174,0.1744651,0.16842629,0.18727045,0.22122385,0.25176442,0.26426435,0.25629628,0.23662092,0.2175992,0.207681,0.2073049,0.21129422,0.21249242,0.2072516,0.19569796,0.1833473,0.17578574,0.17774469,0.18677562,0.19810914,0.20491655,0.20642424,0.20534438,0.20775358,0.21583061,0.2270454,0.23552294,0.23740895,0.2331656,0.22552675,0.21648617,0.206219,0.1951217,0.18494338,0.17749886,0.17161131,0.16289945,0.14800946,0.13205352,0.13156861,0.16802204,0.2501259,0.35957584,0.45388463,0.49226952,0.4621935,0.38587394,0.30088738,0.23550881,0.19695033,0.17596354,0.1592351,0.13890074,0.11568978,0.09498957,0.081516,0.07619668,0.076847315,0.08007955,0.08278067,0.08324551,0.081256054,0.077681094,0.07311983,0.06812363,0.063324414,0.059932347,0.058536474,0.058807906,0.059505064,0.059680607,0.059128325,0.0585362,0.058882937,0.06091386,0.06447911,0.068609364,0.07198659,0.07415254,0.07583846,0.07881862,0.08430979,0.09195927,0.09939734,0.1039415,0.104997426,0.10561377,0.11158175,0.12735313,0.15240687,0.18008018,0.20191388,0.21296926,0.21455276,0.21168469,0.20860718,0.20705082,0.20695682,0.20825945,0.21046503,0.21192496,0.21104111,0.20723213,0.20330466,0.20210697,0.20599423,0.21272598,0.218617,0.22016706,0.2168221,0.2091133,0.1953504,0.17399992,0.14725338,0.12425842,0.11509589,0.122208215,0.13826247,0.1514311,0.1596335,0.17447291,0.21711393,0.2970202,0.39872703,0.48391593,0.5170379,0.48924053,0.4220178,0.3487915,0.29241267,0.25800234,0.23799916,0.22388923,0.21118923,0.20131005,0.19778688,0.20394784,0.2199415,0.24184982,0.26270446,0.27564394,0.2775937,0.2691813,0.25205663,0.22668262,0.1935545,0.15615252,0.12066659,0.09309855,0.07558292,0.06645681,0.062274124,0.060372043,0.05973831,0.06076463,0.064004846,0.06894583,0.073536366,0.07568283,0.07558426,0.07715452,0.08627519,0.10588843,0.13201094,0.1540596,0.16183056,0.1521904,0.13112636,0.10834967,0.09103838,0.08098405,0.07608357,0.073462814,0.07112259,0.06863852,0.06633136,0.06464355,0.06336801,0.061958294,0.060218792,0.05976524,0.064502805,0.079898946,0.10754528,0.14130403,0.16670549,0.17138644,0.15324625,0.12316538,0.09487611,0.07690314,0.06949342,0.06938764,0.07310009,0.078037284,0.08184021,0.08292424,0.08113878,0.077477,0.073289216,0.070278205,0.071174406,0.08002558,0.098996274,0.1257282,0.15135072,0.16620226,0.16509272,0.15199845,0.13601993,0.12579168,0.124223165,0.12866908,0.13425696,0.13731636,0.13709654,0.13477714,0.13204205,0.129595,0.12708123,0.12401819,0.121026605,0.12070496,0.12573916,0.13719375,0.15227865,0.16683526,0.17706402,0.18207002,0.18222286,0.17864032,0.1723286,0.16486529,0.15802054,0.15329207,0.15150587,0.15296753,0.15726067,0.16321193,0.16887407,0.17288844,0.17502075,0.17642786,0.17822953,0.18105638,0.1846072,0.18809612,0.1904443,0.19095385,0.19026496,0.19016212,0.19266261,0.19793706,0.20445524,0.20989645,0.21317701,0.21450298,0.21479732,0.21491621,0.21544129,0.2166404,0.2181995,0.2197824,0.22179353,0.22551309,0.2319312,0.24111097,0.25341603,0.27152917,0.29874232,0.33520126,0.37428758,0.40631846,0.4244344,0.42902008,0.4262844,0.42250696,0.42152527,0.4222122,0.42268524,0.42128667,0.42184424,0.43282315,0.46448898,0.5193345,0.58539706,0.64113337,0.66879207,0.6674571,0.6485835,0.6256499,0.60421056,0.58567375,0.5708825,0.5619464,0.5583126,0.557012,0.5548485,0.55214953,0.55093926,0.5525148,0.5550127,0.55654335,0.55711746,0.5578501,0.5576846,0.5528867,0.5416104,0.52594185,0.5102893,0.49565244,0.47868744,0.45472804,0.42252994,0.3863562,0.35420296,0.3348581,0.33328548,0.34870854,0.3742138,0.4008236,0.4221097,0.43936548,0.46360037,0.5075946,0.57217175,0.63449913,0.6622565,0.63777465,0.5757243,0.50737274,0.4560367,0.4245596,0.40481505,0.39144683,0.38339314,0.38043237,0.37864876,0.3744049,0.36563215,0.35340336,0.34026575,0.3309386,0.33331883,0.35398868,0.39383832,0.44258383,0.48741493,0.518549,0.53566206,0.5408166,0.537155,0.5269417,0.51533264,0.50747854,0.50704956,0.5134867,0.5238294,0.5335527,0.53903025,0.53939337,0.53716785,0.53756857,0.5469413,0.5710537,0.61059546,0.6545968,0.683947,0.68217725,0.6510137,0.60523343,0.562499,0.5302217,0.5108512,0.50478554,0.5124322,0.5292167,0.54751205,0.5607767,0.5681792,0.5725127,0.57695127,0.5819097,0.58618766,0.5883916,0.5875771,0.5832851,0.5752096,0.56415814,0.5501836,0.53154206,0.50461996,0.4677982,0.42463875,0.38293386,0.3507431,0.33186135,0.32616773,0.3303932,0.34091032,0.35195446,0.35720214,0.35178384,0.34160113,0.3466392,0.38985047,0.47371498,0.5653215,0.6169703,0.60184234,0.53717405,0.46582636,0.42239237,0.41303077,0.42069244,0.42601576,0.41825566,0.4003587,0.3797538,0.36440006,0.35570887,0.35152018,0.34819317,0.34643236,0.35287738,0.37491977,0.414394,0.4612763,0.5023919,0.5286951,0.5421758,0.54800063,0.5494416,0.54593456,0.5381179,0.5289681,0.52171683,0.51649505,0.5123782,0.50876236,0.5073922,0.50800276,0.5096166,0.5107905,0.51622313,0.5337322,0.56905293,0.6141214,0.64966995,0.6564165,0.63264227,0.5934102,0.55849296,0.5365384,0.52467984,0.51533085,0.5038006,0.489756,0.47705886,0.47175834,0.47852805,0.4962763,0.51863223,0.5383826,0.552563,0.56188464,0.56726974,0.56693715,0.55812114,0.54015034,0.5155529,0.48750004,0.45601377,0.4185579,0.37484023,0.3326712,0.30503845,0.30046883,0.3147918,0.33398688,0.34393457,0.33666837,0.31156787,0.277056,0.25417057,0.2721081,0.3479544,0.46612152,0.57796824,0.6325239,0.6101905,0.5322873,0.4377574,0.35444593,0.28919128,0.23746239,0.19640647,0.1687028,0.16009904,0.17489755,0.21135424,0.2594584,0.3039751,0.3347219,0.35344234,0.37287316,0.40364555,0.4461877,0.4882779,0.5175164,0.52766055,0.5234722,0.51326853,0.50595945,0.5059449,0.51274586,0.51996726,0.5192836,0.5054868,0.48167697,0.45741782,0.44398484,0.44603655,0.461282,0.48371753,0.51240903,0.55075717,0.59959704,0.6462094,0.6677167,0.64704865,0.59025383,0.5247857,0.47935566,0.46491528,0.47172156,0.483631,0.49019733,0.4913381,0.49179545,0.4967215,0.50752085,0.5216252,0.5335381,0.5393012,0.53935206,0.5377438,0.53728646,0.53634006,0.5306789,0.5179145,0.50036985,0.48322234,0.47124675,0.4660513,0.46613201,0.46804187,0.46836582,0.4646319,0.45672083,0.44618037,0.43602827,0.4276862,0.42140555,0.41787598,0.42312607,0.44844165,0.5013791,0.57411015,0.6399091,0.67003363,0.6537666,0.6065595,0.5554202,0.51989,0.50408274,0.5009108,0.5014674,0.49851096,0.48908344,0.47357252,0.45618224,0.442263,0.4352949,0.4358751,0.4426887,0.45658708,0.47785148,0.50517595,0.5312788,0.5496464,0.5557933,0.55153364,0.5396884,0.5245908,0.5096692,0.4980421,0.49024794,0.48478198,0.48003104,0.4765376,0.47620165,0.48016572,0.48667875,0.49212572,0.4920403,0.48360857,0.46688864,0.44552004,0.4236082,0.40145016,0.37424937,0.3374741,0.29362482,0.2544343,0.23305291,0.23474045,0.2514039,0.26774812,0.27115026,0.25990537,0.24227239,0.22961289,0.22827893,0.23687772,0.2492119,0.2600695,0.2676331,0.27218154,0.27260914,0.26582834,0.2486055,0.22088437,0.18696551,0.15399463,0.12915395,0.11737981,0.121239446,0.13968052,0.1675262,0.19549759,0.21505052,0.22261958,0.22093011,0.21509528,0.20879,0.2030759,0.19761784,0.19150124,0.18341623,0.17199904,0.1572207,0.14091742,0.12607756,0.114801325,0.107386105,0.10242612,0.0982666,0.09378392,0.0890662,0.08496495,0.08256251,0.08232599,0.08374193,0.08561468,0.08695066,0.08807091,0.09153705,0.101012595,0.119576134,0.1456793,0.17294644,0.19122894,0.19389008,0.18182433,0.16386874,0.14939488,0.14149986,0.13656488,0.12959915,0.120778225,0.114935376,0.11685482,0.12526399,0.1328572,0.13182005,0.120794475,0.10706585,0.10158318,0.11077634,0.1315604,0.15333743,0.16579725,0.16554838,0.15749638,0.14974439,0.14740954,0.14963944,0.15140875,0.14836608,0.13985763,0.12911575,0.11978205,0.11343432,0.108865656,0.104421236,0.09988711,0.09717516,0.09863711,0.10530207,0.11534647,0.12471696,0.12880637,0.12557583,0.11659258,0.10605689,0.097808,0.09383134,0.09430682,0.09791967,0.1018445,0.10227952,0.096888505,0.0865961,0.07501679,0.06570845,0.06040984,0.059656326,0.064161025,0.07444705,0.0890655,0.103581645,0.11295857,0.11466377,0.11032861,0.10348018,0.09701517,0.09182965,0.0878025,0.08467841,0.08238868,0.08086362,0.07979692,0.078806065,0.07737553,0.075384654,0.07325283,0.07234187,0.07449036,0.081272066,0.092714846,0.10681713,0.12034378,0.13069578,0.13703667,0.13985787,0.13960446,0.13597654,0.12849884,0.1173789,0.10414808,0.09123275,0.08121816,0.075556,0.07396043,0.07465855,0.075775914,0.07661026,0.07812169,0.0819625,0.089413516,0.10017562,0.1126296,0.12420085,0.13283421,0.13776715,0.13980417,0.14043327,0.14063935,0.1407851,0.1407882,0.14085375,0.14103657,0.1412326,0.1409123,0.1396853,0.13752414,0.1348734,0.13228542,0.1297824,0.12694079,0.1230808,0.11830747,0.11325702,0.10904,0.106218964,0.104731955,0.10382783,0.10253996,0.10026061,0.096927844,0.09320318,0.09007176,0.08830434,0.087913424,0.08785532,0.08708474,0.08556535,0.08530697,0.089541875,0.10029089,0.11632911,0.13242334,0.14312011,0.14528489,0.14032894,0.13121492,0.121044606,0.11129778,0.10289224,0.09619763,0.091446884,0.08853242,0.0869612,0.08584828,0.08408115,0.08111323,0.07739002,0.07477408,0.07581889,0.08277973,0.095503785,0.11061316,0.12258021,0.12724456,0.12437189,0.117141984,0.10913834,0.10179678,0.09466225,0.087148845,0.0799445,0.074592195,0.072240196,0.072737135,0.07462218,0.075944714,0.07543748,0.07402877,0.07536299,0.084272124,0.10277623,0.12715678,0.14910096,0.16121487,0.16145022,0.15308408,0.14089079,0.12826659,0.11694336,0.10796442,0.10205775,0.09932528,0.09925717,0.10089604,0.103079855,0.10465238,0.10492847,0.10406693,0.10292354,0.10232967,0.10261345,0.10335902,0.103928894,0.10366622,0.102400005,0.10033014,0.09783178,0.09506127,0.09170935,0.08750647,0.08263975,0.07851911,0.07743767,0.08151599,0.09075486,0.10206738,0.11055886,0.11323399,0.112238675,0.115021855,0.12845293,0.15278326,0.17905094,0.19621666,0.19876648,0.1905111,0.17908977,0.17001103,0.16381781,0.15850854,0.1523841,0.14542307,0.13861835,0.13270451,0.12725508,0.1208165,0.11224097,0.10200015,0.09253835,0.08679014,0.0860632,0.08895444,0.09220308,0.09316495,0.09137101,0.08849279,0.08650881,0.08619824,0.08685076,0.087100066,0.08635545,0.085514195,0.08698695,0.09331096,0.105331756,0.12088402,0.13526793,0.14361916,0.14332052,0.13492839,0.120946236,0.104131974,0.08650235,0.069394805,0.0537731,0.04034351,0.029477611,0.021179264,0.015135854,0.010847345,0.007781168,0.0055096387,0.0037765822,0.0024624162,0.0015154504,0.0008861734,0.0005077811,0.0003030697,0.00020559742,0.0001729978]