[0.033866994,0.041891217,0.056533143,0.066996984,0.06592939,0.052914202,0.035310123,0.020590978,0.0127766235,0.010788709,0.011993163,0.013723597,0.014599211,0.014113561,0.012840339,0.011731961,0.014909248,0.029668072,0.06643606,0.123985,0.1871918,0.2267427,0.22712302,0.19078504,0.14014527,0.09273044,0.05829894,0.0360494,0.023896165,0.019029148,0.019782787,0.02556011,0.035396356,0.046933193,0.056098953,0.060546424,0.05999373,0.055695847,0.048266117,0.038964495,0.030364074,0.025708625,0.026059372,0.029871726,0.034332875,0.03812784,0.04080793,0.04221211,0.041414782,0.04121874,0.048973072,0.07532088,0.11959541,0.16675152,0.18994321,0.17622124,0.13224111,0.08247303,0.044860285,0.025250336,0.017544053,0.015309784,0.014716727,0.0148708485,0.01558693,0.01655446,0.017412543,0.01813688,0.018922316,0.019948484,0.020727439,0.020778002,0.019800626,0.018503511,0.018266328,0.020971349,0.027679494,0.037207756,0.04601951,0.050038934,0.048077356,0.0424152,0.037415862,0.035775673,0.037907634,0.041784693,0.04589158,0.05005951,0.05666573,0.0671387,0.0791849,0.08674353,0.08496654,0.07544461,0.06385459,0.05535659,0.04967238,0.04469641,0.03905498,0.034742806,0.034454107,0.04002509,0.05015275,0.060598772,0.06587998,0.0628447,0.052618697,0.039514896,0.027850943,0.019738546,0.0154444575,0.014640719,0.017750403,0.024567246,0.034033824,0.042643297,0.047971528,0.049279317,0.05114378,0.058519784,0.07491692,0.095805705,0.11272552,0.11636686,0.105531,0.08663443,0.07111813,0.06741872,0.078056805,0.09892141,0.12318631,0.1445225,0.16146304,0.17512298,0.18552679,0.18748058,0.1765583,0.15530597,0.1332228,0.11818693,0.11077962,0.107939504,0.10729619,0.10819065,0.107972674,0.10367667,0.094254345,0.08207237,0.072069705,0.07073345,0.08706578,0.12544762,0.18282348,0.24405186,0.29431292,0.32123053,0.32144415,0.29323953,0.24280412,0.18265952,0.13128269,0.1022908,0.09973956,0.11745355,0.14179261,0.15730892,0.15420616,0.1368955,0.11815282,0.10897863,0.1064598,0.10170418,0.08747232,0.06910642,0.058204874,0.06886592,0.10442277,0.15465575,0.1957968,0.20853579,0.19172348,0.16474618,0.148368,0.1482625,0.15218864,0.14696555,0.128175,0.10296456,0.0776433,0.056810573,0.04088853,0.032607276,0.033990774,0.046859384,0.06879005,0.09408473,0.1163344,0.13208508,0.1413906,0.14318699,0.13544957,0.11794919,0.096983254,0.080035724,0.0704458,0.06402073,0.056139868,0.045160756,0.035095748,0.032239214,0.046166584,0.08563311,0.15221126,0.23174293,0.29718074,0.32426235,0.30697253,0.2617151,0.21267302,0.17745365,0.15880726,0.14892012,0.13838468,0.12090305,0.09853119,0.07650629,0.06201775,0.05608922,0.055175573,0.05419044,0.053127244,0.058395017,0.07447646,0.097772956,0.1143679,0.113019235,0.09269396,0.066169985,0.049208816,0.05390073,0.08027815,0.1169521,0.14387275,0.14635141,0.12423843,0.0926198,0.06850068,0.06147216,0.07404968,0.10906005,0.17178802,0.2599382,0.35703984,0.43091595,0.45524958,0.42138663,0.34945396,0.26795462,0.20085175,0.15245473,0.119359165,0.0983,0.0934592,0.104455136,0.12305681,0.13326055,0.12877025,0.116891675,0.11707288,0.14291109,0.1909557,0.2404539,0.26739255,0.2636827,0.24003397,0.21662696,0.20353027,0.19802971,0.18832304,0.16843188,0.13842882,0.10643944,0.079337515,0.06201941,0.053658213,0.050624993,0.04953214,0.048493598,0.047557,0.0465079,0.047878873,0.058243852,0.08707577,0.13561942,0.19137372,0.22990899,0.2345,0.2048235,0.15913461,0.11764103,0.09600983,0.09862236,0.12221547,0.15574868,0.18716888,0.20778109,0.21624495,0.21465908,0.20497186,0.18590848,0.15802538,0.1259777,0.100542806,0.08874047,0.09033201,0.09579433,0.09673852,0.090978235,0.08398998,0.084375255,0.096181504,0.1169344,0.13592802,0.14415376,0.13764419,0.12151313,0.103532754,0.09166054,0.09042404,0.098849565,0.11050782,0.1156654,0.108778656,0.09006647,0.06610919,0.04512854,0.03528815,0.04017839,0.05619334,0.07283286,0.079960525,0.074879415,0.06447116,0.05940613,0.06811457,0.089728855,0.11426238,0.12597694,0.11706806,0.092649095,0.067479625,0.051155925,0.04344516,0.03975447,0.040489886,0.05056427,0.07215777,0.09932029,0.12210149,0.13255143,0.1294358,0.11504582,0.09378662,0.06937256,0.047790397,0.034919158,0.036536396,0.050228033,0.067856826,0.0765569,0.07241904,0.058757946,0.04498924,0.034575183,0.02722454,0.021130627,0.019154547,0.027521105,0.05211555,0.093230724,0.14263667,0.1858251,0.20919567,0.20771092,0.18778287,0.16547708,0.15757078,0.17745025,0.22346805,0.28684914,0.3475115,0.3958107,0.4246856,0.43953463,0.43915534,0.42270696,0.38923195,0.34457552,0.2986145,0.25476328,0.21566546,0.18301798,0.1638444,0.15765922,0.15631767,0.14864703,0.1326732,0.115585275,0.106031395,0.107304335,0.115622245,0.12337772,0.12127132,0.10568187,0.08104124,0.059808,0.053066608,0.06252286,0.07907375,0.087991655,0.08163417,0.062388387,0.041260038,0.026086994,0.018631078,0.016428014,0.019241111,0.030536652,0.051492453,0.076881476,0.09407306,0.093791015,0.07569846,0.050208163,0.027997976,0.014730436,0.011701048,0.021324823,0.049022198,0.09138743,0.13398515,0.15231605,0.13702963,0.09619501,0.054115597,0.026261812,0.016788132,0.018911667,0.026893476,0.03785066,0.050316747,0.062843435,0.07354481,0.087109484,0.114712976,0.17145137,0.25801432,0.35492718,0.42657351,0.4502982,0.42732263,0.3845038,0.34440252,0.31971595,0.30118725,0.2797834,0.24383225,0.19738328,0.14798763,0.10971428,0.08690082,0.07719233,0.0720507,0.06689916,0.0635354,0.06785994,0.081418626,0.097292505,0.10316369,0.09256653,0.06958126,0.046322227,0.031625208,0.027708417,0.03160706,0.043083657,0.063151486,0.092508115,0.12520768,0.15370937,0.16890784,0.16670853,0.14560474,0.111678064,0.074629016,0.04712701,0.03757937,0.048893064,0.07624348,0.109665476,0.13762249,0.15256079,0.15324496,0.14366795,0.12879045,0.112815045,0.09705636,0.08270284,0.06979511,0.059834003,0.052238002,0.04601498,0.039359123,0.033646498,0.032538645,0.03845321,0.048807118,0.05621442,0.055478286,0.047152568,0.03739667,0.03134165,0.03053082,0.03385746,0.03983711,0.04725553,0.05305708,0.054450396,0.05000365,0.042488996,0.036018427,0.035161193,0.042941336,0.06145705,0.08790073,0.114058636,0.12840174,0.12793402,0.12034357,0.11901813,0.12855081,0.14416008,0.1590211,0.17324306,0.19132209,0.21403204,0.23408248,0.23927134,0.22124197,0.18231636,0.13517989,0.0950236,0.06989726,0.058188472,0.05328025,0.051315386,0.054032538,0.06459107,0.08163568,0.09785268,0.106185816,0.10522316,0.099248104,0.09406661,0.0945695,0.10374802,0.12052534,0.139262,0.15464438,0.1666081,0.17833184,0.18778217,0.18743311,0.17097068,0.1425433,0.111594856,0.08704496,0.069654904,0.057594612,0.047522303,0.03921002,0.03260511,0.02852142,0.026725888,0.026676834,0.027763674,0.029601587,0.0316636,0.03285889,0.032249045,0.030579636,0.03007175,0.03353627,0.04144786,0.05197693,0.06221466,0.071719766,0.08357849,0.09921656,0.11529263,0.12199864,0.11492578,0.09736618,0.08252633,0.079337,0.090681195,0.109413564,0.12769096,0.13814871,0.13982214,0.13569297,0.13254343,0.13449085,0.14160238,0.1483442,0.1494746,0.14214554,0.12961839,0.11645325,0.10642459,0.098160826,0.0889499,0.077430226,0.06556348,0.056514148,0.05232763,0.056043208,0.070259474,0.09551815,0.12413166,0.14339359,0.14266711,0.1223085,0.094103955,0.072366014,0.06458193,0.06631422,0.06773428,0.061620984,0.049377132,0.0378847,0.034271937,0.040864505,0.055469524,0.07290399,0.0888879,0.10063354,0.10710511,0.10678989,0.09905968,0.084813535,0.068221316,0.05385307,0.04592133,0.04515943,0.050184608,0.056627076,0.06140223,0.06288068,0.06222481,0.05920917,0.053259093,0.043491248,0.03221301,0.02347351,0.022946125,0.03531686,0.06121828,0.09307808,0.11712885,0.12198325,0.108573474,0.08800972,0.07277445,0.06693039,0.067444146,0.06950995,0.06964187,0.06705278,0.061237697,0.054091066,0.047138255,0.041606862,0.036726877,0.031356886,0.026208965,0.023586852,0.026963403,0.037453722,0.053966124,0.07172605,0.08538579,0.08963282,0.083512545,0.06948501,0.053243924,0.039672162,0.031662077,0.02963914,0.032076817,0.036639486,0.040723708,0.043382,0.045604978,0.04901589,0.05324121,0.055393223,0.052992728,0.0474243,0.04350963,0.046340395,0.057020474,0.07169509,0.08301305,0.08413575,0.073840685,0.056549568,0.039803196,0.027505465,0.02057239,0.018262073,0.022557842,0.034523502,0.05178538,0.0665263,0.07197461,0.067122184,0.057174724,0.04795837,0.0416139,0.038431093,0.038294163,0.042320896,0.04934345,0.05711198,0.062101215,0.06377432,0.06470528,0.07075276,0.08413681,0.10005263,0.107421815,0.099396646,0.078798644,0.05597572,0.039159913,0.03021638,0.027817795,0.032407403,0.04688606,0.07058465,0.09710889,0.11618329,0.12365351,0.12267121,0.12065145,0.11846929,0.111372255,0.09430969,0.07025993,0.047754735,0.034105,0.030013593,0.031251427,0.033155277,0.03378114,0.033517864,0.034357633,0.037883673,0.045117855,0.054394055,0.06243406,0.06531521,0.06278083,0.058369756,0.057265814,0.061514556,0.069956996,0.07961691,0.0876218,0.09173728,0.09217181,0.09354528,0.09879839,0.10587179,0.105047144,0.09267119,0.07240491,0.05636223,0.050585587,0.05587132,0.066398025,0.07788977,0.08674815,0.09254409,0.09554764,0.09759808,0.09921289,0.09972759,0.096739285,0.090810575,0.087111,0.09160701,0.10528328,0.12319473,0.1444561,0.17417805,0.21570806,0.26067623,0.28896496,0.2881459,0.25773722,0.21592869,0.17895631,0.16051899,0.15782826,0.16233878,0.15991034,0.14554836,0.12107689,0.09575293,0.07570184,0.06496672,0.06276279,0.06626771,0.06957528,0.06835469,0.064258635,0.062355112,0.066450514,0.07242397,0.07493045,0.07038174,0.06270985,0.05643327,0.05486868,0.05549419,0.054243207,0.0480022,0.038212515,0.028878279,0.0232953,0.021780461,0.02251677,0.023555271,0.02391757,0.023287341,0.022174684,0.021051198,0.02045766,0.019836804,0.01880998,0.017317785,0.0165449,0.01756322,0.02046376,0.02380686,0.025452815,0.02438578,0.021365732,0.018676404,0.01781307,0.018543465,0.019143885,0.01860726,0.017645262,0.018125283,0.021528522,0.028289592,0.037868958,0.048868265,0.058772463,0.065418236,0.06811217,0.06899341,0.070464276,0.07557892,0.086320974,0.10521672,0.12971045,0.15395747,0.17009453,0.17649978,0.17548908,0.1708888,0.16629075,0.16618495,0.17482668,0.19045569,0.20628582,0.21514897,0.21331243,0.20089968,0.17883201,0.15110458,0.122425556,0.09859417,0.08225301,0.072837085,0.06634049,0.058527086,0.04892756,0.041340142,0.0419447,0.05131126,0.063852794,0.06847397,0.06042631,0.04260983,0.02558606,0.016447527,0.016384179,0.020853676,0.025208995,0.027776808,0.028822342,0.0297395,0.031213269,0.035190266,0.043490727,0.055875275,0.06795301,0.07322637,0.06855458,0.056591377,0.045249622,0.04356483,0.05671444,0.08273283,0.11020587,0.12618397,0.121988714,0.10120819,0.072647065,0.046663422,0.02749726,0.016656755,0.013017237,0.015974373,0.023484265,0.03209314,0.037095647,0.03569888,0.029043699,0.02165463,0.018110408,0.019908188,0.025035486,0.029498369,0.030370876,0.027054137,0.02172448,0.017131392,0.015498735,0.01703982,0.02088262,0.025836447,0.031662915,0.03923973,0.048752367,0.059288625,0.06781306,0.071985744,0.07067509,0.06525711,0.058774617,0.05422905,0.05410355,0.05686674,0.059128318,0.05550238,0.045122996,0.030537397,0.017835146,0.011040169,0.012101017,0.019457491,0.02980263,0.03806761,0.040828284,0.03749711,0.03084343,0.023913374,0.01874525,0.015820956,0.015212123,0.017793683,0.025998792,0.042638835,0.06641595,0.08935288,0.100165956,0.0932655,0.07366327,0.052524906,0.038028758,0.030752832,0.02719702,0.025152689,0.025598193,0.030153565,0.038019836,0.0459168,0.050083544,0.04937561,0.04510656,0.03980644,0.03450307,0.029185198,0.023622705,0.01909083,0.017458776,0.019881427,0.025251033,0.030603683,0.032858197,0.030649386,0.024984105,0.018179735,0.012530348,0.009236296,0.008355643,0.009010093,0.010189111,0.0112414425,0.012535993,0.014687993,0.018168382,0.021967724,0.02472292,0.024932468,0.022914683,0.019816173,0.017479701,0.016705899,0.017357826,0.018675156,0.019887134,0.020950958,0.021894554,0.02294989,0.023651844,0.02366664,0.0230308,0.023063382,0.025682367,0.032189954,0.041188687,0.048777115,0.050877202,0.047097784,0.041223332,0.037409473,0.036462516,0.0350412,0.031135099,0.02668999,0.028129002,0.040123474,0.060768206,0.08109989,0.09005871,0.08338591,0.064585745,0.04299234,0.025247028,0.014305786,0.008828051,0.0069925785,0.0069103464,0.0076430463,0.008693696,0.009844534,0.010662109,0.010676685,0.009836823,0.008837885,0.008492191,0.008991235,0.009738855,0.0106530115,0.012979408,0.019075617,0.028991526,0.039595854,0.045019075,0.042791188,0.034671914,0.02645436,0.021729484,0.021289958,0.02257031,0.023166811,0.021358527,0.017492613,0.013064775,0.010274089,0.010315466,0.01292614,0.016159456,0.018254792,0.018836318,0.020065583,0.023690596,0.029427325,0.033391595,0.032768738,0.027864859,0.023911795,0.025874002,0.035385113,0.047894463,0.056444895,0.055911224,0.04743944,0.03697101,0.031092772,0.031581696,0.0356151,0.038761977,0.040835932,0.04440069,0.05217889,0.061139405,0.06589264,0.061645687,0.049960196,0.036313657,0.028108634,0.029106343,0.03997603,0.05732313,0.078028135,0.096810795,0.10954631,0.11116913,0.10158051,0.0829957,0.061211247,0.040490113,0.024242556,0.014106979,0.012442465,0.02304337,0.04840995,0.0848335,0.11972052,0.13908394,0.13693465,0.119808234,0.099196106,0.08375887,0.07478723,0.069331996,0.06341345,0.056580406,0.052976806,0.056674648,0.06621637,0.07278947,0.0702553,0.060300495,0.05159377,0.049280774,0.051550936,0.05308291,0.050577287,0.04442398,0.035988558,0.026759535,0.019196855,0.01755797,0.027184857,0.048640806,0.07674519,0.100635864,0.11353558,0.113434695,0.103811145,0.087244004,0.06807079,0.051823303,0.044320133,0.045732725,0.051312983,0.0553107,0.057461444,0.06050546,0.067573704,0.07569554,0.079972066,0.07492349,0.061523277,0.043864343,0.028155984,0.017019577,0.010576216,0.00712694,0.0056770355,0.0059753214,0.008157871,0.012122124,0.01707504,0.021505758,0.023651557,0.022593124,0.018872438,0.014288552,0.010992902,0.011291959,0.017480077,0.030917844,0.04942329,0.06697113,0.07656414,0.07573959,0.067277394,0.056394856,0.04618148,0.037510082,0.030161323,0.023986029,0.019273197,0.017353235,0.021278163,0.033238042,0.052084852,0.07233172,0.0873762,0.09283585,0.087943725,0.07595359,0.063390575,0.05865339,0.06640475,0.08509707,0.10709729,0.12669912,0.14072873,0.14921422,0.14911163,0.13855802,0.117776364,0.09193524,0.06696791,0.047520865,0.03611829,0.032196164,0.033107225,0.034738954,0.03539117,0.035080504,0.035004023,0.035385218,0.03676197,0.039106403,0.041629728,0.04205656,0.039361324,0.034117684,0.028713584,0.02444836,0.022144204,0.021218926,0.021192892,0.020728717,0.01915744,0.01630806,0.013107013,0.010398542,0.008526814,0.0072304136,0.0062380913,0.005794808,0.0066025616,0.00962701,0.015640277,0.024951702,0.036721736,0.04849967,0.056569744,0.057674423,0.051220585,0.03971344,0.027507568,0.01832892,0.0144507075,0.016224677,0.022409149,0.029726679,0.034279402,0.033522457,0.028388852,0.02242296,0.019606194,0.022017358,0.029124478,0.037961096,0.044403892,0.045445174,0.041118965,0.034287523,0.028208025,0.0245762,0.023050336,0.022411779,0.021175817,0.018569166,0.014634761,0.010545916,0.007970893,0.009053255,0.01577469,0.028536519,0.04446456,0.05779409,0.06377908,0.0615617,0.054582402,0.046036303,0.03759895,0.02869527,0.01993339,0.01231267,0.007754386,0.00786681,0.014588398,0.029134022,0.048744168,0.06640008,0.072827674,0.06479367,0.046534408,0.028139897,0.017641755,0.019794146,0.035908356,0.064386375,0.09735774,0.12170398,0.12576114,0.108213276,0.078219816,0.048474476,0.026958885,0.01588627,0.015034873,0.023574263,0.04006171,0.058995605,0.07314233,0.075078934,0.06432275,0.046603415,0.0324014,0.028048337,0.03334287,0.041134935,0.044544592,0.04010496,0.030157479,0.018869871,0.010231887,0.0054468676,0.003961396,0.004160896,0.004674012,0.0047492683,0.004360992,0.0041316575,0.0049200784,0.007166326,0.010339629,0.013034117,0.014075816,0.013236814,0.011351469,0.0097981915,0.01022103,0.014419475,0.02246405,0.032295614,0.03960273,0.04184946,0.039305717,0.035354193,0.03447029,0.042199884,0.06554537,0.108059324,0.16294116,0.21023493,0.22845386,0.21073942,0.16965781,0.12552927,0.091529615,0.07189963,0.0688242,0.08526669,0.1193442,0.15807222,0.18363392,0.18329655,0.16008921,0.12621053,0.09612885,0.075363204,0.06399742,0.057924848,0.0547512,0.051816996,0.048092607,0.043466475,0.040925752,0.043931898,0.053279538,0.06442518,0.07025122,0.06733585,0.05901544,0.05248343,0.05297135,0.05960709,0.06769123,0.07102812,0.06873139,0.064796284,0.067999996,0.0811295,0.09916949,0.109638594,0.106367715,0.09308591,0.08298073,0.08587655,0.10356554,0.1269228,0.1439626,0.145034,0.13219802,0.11674925,0.1137327,0.12736228,0.14901476,0.162736,0.16027026,0.14531341,0.13077882,0.12830316,0.14459111,0.17482342,0.20638089,0.22012587,0.20734863,0.17091894,0.1270331,0.090045474,0.070192225,0.06926132,0.083328374,0.103050925,0.11873537,0.12512855,0.12433364,0.121539615,0.12170554,0.12412641,0.12566839,0.120976664,0.10876659,0.08958498,0.067813985,0.04687695,0.030479664,0.019627083,0.014652383,0.014739386,0.018665485,0.024281664,0.028578764,0.03025153,0.030126132,0.031064525,0.034419578,0.039596315,0.044250514,0.04690309,0.047064796,0.047907192,0.056738097,0.08529451,0.13650875,0.19691928,0.2365741,0.23557329,0.19754608,0.14890938,0.11071712,0.088904865,0.07594907,0.06725191,0.06243169,0.06219248,0.064161,0.06391351,0.059631754,0.050960585,0.040689357,0.031172024,0.026253939,0.02898026,0.042096004,0.06615689,0.099681534,0.13801323,0.17396371,0.19901271,0.20913298,0.20602246,0.19587485,0.18276037,0.16875331,0.15437005,0.14044641,0.12616913,0.111922406,0.10119594,0.099774964,0.108723424,0.12213389,0.13121007,0.13267088,0.12955843,0.1283753,0.13101095,0.13563631,0.1379684,0.1393691,0.14729054,0.16930003,0.20522253,0.23976278,0.2564221,0.24476431,0.21474282,0.18217193,0.16194238,0.15343104,0.14789371,0.13404825,0.10976142,0.080285296,0.05554523,0.04099119,0.037874173,0.0424611,0.05051963,0.05700406,0.05913673,0.057139188,0.05531245,0.05709052,0.062419552,0.066693485,0.06739512,0.06566563,0.064857356,0.0647353,0.061441798,0.052118797,0.038640827,0.027365739,0.024148814,0.030128717,0.04103818,0.049508255,0.050777823,0.044314083,0.034284573,0.024993798,0.0190128,0.01613238,0.015251227,0.01673807,0.02281478,0.037321318,0.061270427,0.09264251,0.1268232,0.16251701,0.19984965,0.23608303,0.26181057,0.26712382,0.25057676,0.22040784,0.18727626,0.1571695,0.1300931,0.10574108,0.084489614,0.0691242,0.06046809,0.05983856,0.06792915,0.085896045,0.11221552,0.14408542,0.17993869,0.21824865,0.25373507,0.27457035,0.2712891,0.2427753,0.19867027,0.15123096,0.11023706,0.08007591,0.05988427,0.046545703,0.036803506,0.029863233,0.025362825,0.02391346,0.026958814,0.037515566,0.055185765,0.07418931,0.08424735,0.08012673,0.06466483,0.047671597,0.03622408,0.032288183,0.033300877,0.03706373,0.04177752,0.04528622,0.04505345,0.039978977,0.031700365,0.023115925,0.016594397,0.012701482,0.011016349,0.011120298,0.013397119,0.018640285,0.026602201,0.035165936,0.040691223,0.040836014,0.035738647,0.02829328,0.021583324,0.01872036,0.022183888,0.03458116,0.056045134,0.083619,0.11053871,0.12973507,0.13555084,0.12663682,0.106057435,0.08138244,0.060918454,0.04935828,0.0457444,0.046985704,0.053011302,0.06663066,0.08720691,0.10744818,0.1173417,0.11434945,0.103639565,0.093360014,0.08587008,0.079591356,0.072200246,0.063827746,0.05641763,0.052136898,0.05420221,0.06253461,0.074012004,0.0803251,0.0772888,0.065196626,0.05098686,0.0397165,0.03515761,0.038220417,0.050067704,0.06856224,0.08923101,0.1045868,0.11038924,0.105164856,0.093940176,0.083884425,0.083412476,0.09403631,0.10861666,0.114522256,0.10387025,0.08080915,0.057778265,0.046985734,0.050240304,0.06075114,0.06725801,0.0646507,0.053843528,0.04136669,0.031350154,0.02592512,0.024201246,0.026506161,0.03291127,0.04405238,0.057268213,0.06879827,0.07445461,0.076064326,0.07909909,0.08870479,0.10314094,0.11501127,0.11830228,0.11094433,0.0960804,0.07640142,0.055976737,0.03818449,0.027455391,0.026508914,0.035560936,0.05130234,0.0665879,0.07442236,0.07081338,0.059281033,0.047109347,0.042132895,0.045919377,0.054771777,0.06124415,0.06098056,0.05367138,0.04331273,0.033356093,0.02796506,0.032357085,0.054329738,0.09401041,0.13993506,0.1699721,0.17156631,0.1485066,0.118591525,0.09410394,0.076710545,0.06150836,0.046534855,0.034196045,0.027259866,0.026755452,0.032131847,0.04175244,0.05278066,0.061208177,0.06510475,0.06589354,0.06678813,0.068747155,0.06862613,0.063114315,0.051604588,0.03746107,0.024381151,0.014857047,0.009610231,0.008171768,0.009317916,0.011304355,0.013091139,0.014331217,0.015874416,0.018605711,0.023825489,0.030638812,0.03692146,0.039095264,0.037103515,0.033695295,0.03280827,0.034722924,0.036096785,0.033891205,0.027835151,0.021135313,0.016616832,0.01602114,0.018829135,0.023353597,0.026918093,0.027239973,0.02377911,0.017964123,0.012480426,0.009840154,0.011871512,0.018116163,0.025919989,0.030756002,0.030227713,0.024905287,0.01823636,0.012949069,0.010621489,0.012139857,0.01883156,0.031309012,0.04764235,0.0623697,0.06913668,0.06415687,0.050176095,0.0340299,0.022919366,0.018640177,0.018565696,0.018996676,0.01989466,0.024786329,0.036516692,0.054281503,0.073849134,0.09092181,0.1016844,0.10231487,0.09092916,0.070145585,0.047442947,0.02956047,0.018958857,0.013908907,0.0120239295,0.012100834,0.013432416,0.015024886,0.015827289,0.01664158,0.021055022,0.032918904,0.05183211,0.070361346,0.078822665,0.07225091,0.05472961,0.035116147,0.021179328,0.015883325,0.018042112,0.024249166,0.030434454,0.034585055,0.036604643,0.03808328,0.03871616,0.037827495,0.034515552,0.030424533,0.0274396,0.02708702,0.02864152,0.030450866,0.031121746,0.030748291,0.030198926,0.029787814,0.028757408,0.02614711,0.022349672,0.020648634,0.027214518,0.048111275,0.08216236,0.11792352,0.13781983,0.13208048,0.10517932,0.07382084,0.054590654,0.057112295,0.0812447,0.11944195,0.16152094,0.20022853,0.23209424,0.25201225,0.2494207,0.21752371,0.16306204,0.10787686,0.07141123,0.059493523,0.062072128,0.06725501,0.06903217,0.07088995,0.07797762,0.09120062,0.103943616,0.107765295,0.099821776,0.08475753,0.070050314,0.05931979,0.05181017,0.045496654,0.040340196,0.038486782,0.04233098,0.05275075,0.06746346,0.08118055,0.08771934,0.08365034,0.07126642,0.057781648,0.053245366,0.06577306,0.10050138,0.15402736,0.21494985,0.2631245,0.28118566,0.26220372,0.21517687,0.15892634,0.11308033,0.08961549,0.087834656,0.09619737,0.10022766,0.09262735,0.07680233,0.061891645,0.05460686,0.055626478,0.060481835,0.063605666,0.060854103,0.051835194,0.039737996,0.03013202,0.028275661,0.036391724,0.052774344,0.07197031,0.08738487,0.09326867,0.08747721,0.07255515,0.05478026,0.04064623,0.03281344,0.02966409,0.027956912,0.02619836,0.025322245,0.02629234,0.028644076,0.030197404,0.029872037,0.028221408,0.027412042,0.028822124,0.032714453,0.037770983,0.04193629,0.042707633,0.039011557,0.031915765,0.024211863,0.018111447,0.014017896,0.011289905,0.009236983,0.007932263,0.0072420686,0.0069707707,0.0065642656,0.0059051453,0.0050589032,0.0043969895,0.004184553,0.0046477076,0.005815931,0.007484108,0.009199535,0.010430083,0.01091813,0.011226911,0.0128853945,0.018086623,0.027411565,0.038886577,0.04816829,0.052610952,0.052820206,0.05213293,0.05311433,0.056410283,0.06177048,0.06867946,0.07615526,0.081003405,0.07981045,0.070547424,0.055945218,0.040625475,0.02942717,0.022895545,0.019747563,0.017310543,0.015053322,0.012926284,0.013150654,0.020443423,0.043313395,0.08664117,0.14274384,0.18974002,0.20609342,0.18884633,0.15515675,0.12717997,0.115471594,0.118051834,0.12911515,0.14403607,0.16038233,0.17574568,0.19104528,0.20794387,0.22612299,0.2386812,0.23709755,0.21731155,0.18435138,0.14822455,0.118028164,0.09752197,0.08607352,0.08360738,0.09204236,0.112866245,0.13852234,0.1555466,0.1512372,0.12792875,0.09742954,0.074755095,0.06383561,0.062344547,0.06338235,0.063996114,0.062233914,0.059318017,0.056736067,0.057721224,0.063650094,0.07491543,0.09233878,0.120653294,0.1641869,0.2165135,0.25874543,0.27017012,0.24933214,0.21134998,0.17691942,0.15151489,0.13257985,0.11398529,0.09700292,0.08316558,0.07460456,0.06991602,0.067453444,0.06522622,0.06260699,0.060101885,0.05792296,0.05610456,0.05403727,0.051647246,0.049059153,0.04627822,0.043697808,0.041305497,0.03957392,0.038230237,0.036990687,0.035881307,0.035314467,0.036886554,0.040514324,0.04613517,0.051128935,0.05528438,0.05766544,0.0602189,0.062644415,0.065402366,0.06693212,0.06655858,0.0639094,0.059349153,0.054230288,0.049290508,0.045934808,0.04422989,0.04410939,0.044223428,0.043824058,0.04321375,0.043395024,0.0449634,0.04709911,0.049414206,0.052275512,0.05644445,0.061665993,0.06736979,0.07476467,0.08552188,0.099166356,0.1111371,0.11748397,0.11938692,0.12319497,0.13190506,0.14120917,0.1413055,0.12889983,0.10905733,0.09270462,0.08638855,0.09026018,0.1004872,0.11110338,0.119112976,0.12166669,0.12272608,0.12400371,0.12841217,0.13009386,0.12568532,0.111727744,0.093273275,0.074930586,0.06168473,0.05392726,0.05091839,0.051908668,0.058119398,0.07306823,0.09693688,0.12448564,0.1440118,0.14825897,0.13770112,0.120999,0.10498873,0.09337362,0.087379225,0.0899354,0.10325367,0.12745272,0.15836532,0.18862693,0.2081406,0.21004818,0.19633944,0.17873019,0.16858447,0.16866624,0.17304988,0.17781739,0.18676317,0.20941131,0.2514529,0.3054036,0.35044476,0.36307564,0.33488056,0.280471,0.22444676,0.18581438,0.16531862,0.15775412,0.15425284,0.15165369,0.14483134,0.13462663,0.12277439,0.11426591,0.1080941,0.102258444,0.0946073,0.08925161,0.08947036,0.09503015,0.09894931,0.09728122,0.09352535,0.098243475,0.1154209,0.13820304,0.15248287,0.15299933,0.14372301,0.1334946,0.12363139,0.11230153,0.09890749,0.08875951,0.08804063,0.09705896,0.110082515,0.117178135,0.113573484,0.09977221,0.08258649,0.067576095,0.059091836,0.060044397,0.07463663,0.1053164,0.14760223,0.19156794,0.22790293,0.2559313,0.27531856,0.28023985,0.25818998,0.20820864,0.14589985,0.097969115,0.080009945,0.090158395,0.10988306,0.1214174,0.11512751,0.09741663,0.079570495,0.07202112,0.07397666,0.080185294,0.08418569,0.08584686,0.08849194,0.09502832,0.104002595,0.10968381,0.10977938,0.106004916,0.10448169,0.10530246,0.105450146,0.09896648,0.086857535,0.07246525,0.062354874,0.060943972,0.073802345,0.103553474,0.14525872,0.18551569,0.20820302,0.20895569,0.19576299,0.18534851,0.1880102,0.20248725,0.2171122,0.2185952,0.20285375,0.17623834,0.15152591,0.13865441,0.13805331,0.14303334,0.14371087,0.13904534,0.13607918,0.14477661,0.16566408,0.18912481,0.20454018,0.20894235,0.20512943,0.1948152,0.17490882,0.1455836,0.112143636,0.08523955,0.07037002,0.06753541,0.071165904,0.07786572,0.0865939,0.09964617,0.115015686,0.12748195,0.12790744,0.115004055,0.09325769,0.07347401,0.06043748,0.05486587,0.05271238,0.052634884,0.05458037,0.05954616,0.0660969,0.07156355,0.07501245,0.079954356,0.09288647,0.1148954,0.13908537,0.15260477,0.15132774,0.14177483,0.13857307,0.14867331,0.17049913,0.19540219,0.21643506,0.22780782,0.22499965,0.20589209,0.17255072,0.13342632,0.09771634,0.07340965,0.061628148,0.060189307,0.06390645,0.06828094,0.06913545,0.06505037,0.059088007,0.057501864,0.06535251,0.08166406,0.10073932,0.116361864,0.12520337,0.12669332,0.12113079,0.11108271,0.10054523,0.0944706,0.093193464,0.094804205,0.09553695,0.0960714,0.09618839,0.096126646,0.092356674,0.085284166,0.07854164,0.0795032,0.09144401,0.10885483,0.12159991,0.12165392,0.11368349,0.10641855,0.1067774,0.109339036,0.10743734,0.09819305,0.08786314,0.082007594,0.08172125,0.08304637,0.08251008,0.07978541,0.07551249,0.070276394,0.063027374,0.055014346,0.04786104,0.043773744,0.04170884,0.040784057,0.041151736,0.04531598,0.053830106,0.06363296,0.07051656,0.07406357,0.07980665,0.092036836,0.10832641,0.118528605,0.11605438,0.10378408,0.09211264,0.08839854,0.09173286,0.09666439,0.09839463,0.096135,0.091066726,0.08548377,0.0811713,0.07802129,0.074540064,0.06885957,0.06244506,0.05825034,0.059806455,0.06752638,0.08103241,0.09796879,0.11595116,0.13088948,0.14268777,0.1549303,0.17493124,0.2032873,0.2339641,0.25535023,0.26181486,0.25171557,0.22788501,0.19476818,0.16488582,0.15595539,0.17796338,0.2199352,0.2530057,0.25280672,0.21811603,0.16916527,0.12823234,0.103919886,0.09186744,0.08559481,0.08260586,0.084028035,0.089802176,0.09811453,0.10562605,0.10887861,0.10572299,0.09500452,0.0790809,0.062024254,0.050493676,0.051538706,0.072291456,0.11628579,0.17349654,0.22165006,0.23493892,0.21004821,0.16603309,0.1341883,0.12988867,0.14879753,0.17192745,0.1819853,0.1735177,0.15306817,0.13292998,0.12029335,0.11955855,0.13710682,0.1827444,0.2541486,0.32769582,0.3650155,0.34340683,0.2701706,0.18014586,0.1073375,0.07125623,0.069982976,0.08903682,0.10879969,0.114381246,0.10280502,0.08054326,0.057749342,0.03997125,0.029126355,0.024866952,0.026247337,0.030791342,0.034335524,0.034460302,0.03227423,0.033176135,0.041346814,0.055787325,0.069040544,0.07334065,0.067094274,0.055905733,0.04742923,0.04412304,0.043480728,0.041335408,0.037726495,0.03506348,0.03527918,0.03698883,0.039399233,0.045804948,0.061566036,0.08540813,0.1082677,0.120786875,0.12771599,0.13940367,0.16103733,0.18039082,0.18825017,0.1864541,0.18746372,0.19218443,0.19087099,0.17404372,0.14527215,0.1135521,0.08585302,0.06648987,0.064246766,0.09067279,0.14797622,0.22321717,0.29040217,0.33051816,0.33755782,0.3219761,0.29659557,0.27301702,0.2540719,0.23618078,0.20984483,0.17195338,0.12720099,0.08768947,0.059587,0.04449534,0.043351073,0.06324228,0.111589156,0.1819526,0.24928947,0.28036568,0.26056722,0.20536703,0.14928328,0.11829209,0.1144146,0.12133876,0.12094501,0.10543587,0.07920117,0.052150264,0.032590058,0.02298409,0.022858838,0.032980602,0.053582996,0.0813481,0.10681204,0.12422796,0.13526307,0.14884764,0.16918588,0.19335072,0.2114581,0.21448664,0.19608472,0.16014634,0.11879507,0.087354936,0.07095689,0.0644023,0.06121397,0.06187156,0.0701173,0.08358248,0.09304338,0.09130099,0.07939413,0.065327495,0.055530142,0.05238387,0.055466592,0.064062014,0.07667616,0.08887619,0.09612858,0.095846616,0.08949134,0.07900946,0.06585436,0.05115818,0.03800046,0.029212274,0.025432376,0.0235006,0.02094464,0.017341593,0.015969342,0.02014839,0.0321505,0.049439866,0.065031655,0.07141443,0.0684023,0.06580128,0.073662974,0.09164924,0.105765335,0.10310105,0.08214394,0.05467095,0.032717098,0.021323463,0.018526899,0.021603905,0.030593356,0.046765983,0.06916853,0.092384756,0.10763606,0.10899973,0.097526014,0.0834626,0.07901994,0.08943031,0.10737091,0.11747232,0.11101378,0.09179503,0.07352343,0.06458842,0.06386294,0.06324807,0.05772063,0.048961993,0.04384817,0.048205804,0.06175154,0.07719508,0.085293405,0.08111779,0.06651245,0.04769149,0.030327654,0.017626146,0.009636761,0.005674763,0.0051643606,0.0091920905,0.018323135,0.031200984,0.042568464,0.046977717,0.041762475,0.030476762,0.019412164,0.014523425,0.017265523,0.025661929,0.03571503,0.044380818,0.050176173,0.052834418,0.052216638,0.04798233,0.040560108,0.03132532,0.022365442,0.015049602,0.009903162,0.006758524,0.0052838176,0.0049216114,0.0048440136,0.0044163973,0.0037475002,0.0039962013,0.0068769567,0.013097937,0.021206485,0.027446749,0.028522091,0.02380746,0.016099326,0.00903049,0.005197341,0.005406027,0.010056909,0.01895705,0.03229533,0.049669594,0.07255521,0.10122902,0.13481368,0.16577847,0.18483394,0.18297851,0.16048379,0.12427818,0.086670935,0.057192624,0.041697636,0.039443646,0.045751195,0.053034518,0.056165084,0.054529566,0.051947523,0.052612532,0.056148473,0.05882089,0.055601988,0.047460053,0.038550124,0.03449901,0.035285603,0.03794043,0.038480546,0.03628326,0.033514265,0.034094084,0.04101463,0.053482097,0.066410504,0.07309996,0.070718475,0.06143796,0.05092612,0.042638857,0.037436932,0.03357431,0.031801432,0.034884784,0.046132416,0.0640521,0.08200904,0.091905855,0.08917743,0.07523509,0.0556021,0.037972186,0.029670537,0.03571962,0.055152457,0.07954378,0.09612786,0.09641614,0.08281134,0.06658868,0.059013244,0.06276689,0.07239083,0.079720825,0.08136583,0.07937124,0.077937044,0.07866167,0.08059424,0.084036656,0.08977339,0.097148724,0.099867016,0.093705334,0.07964388,0.067325644,0.063867204,0.07064939,0.08050081,0.08750352,0.08846732,0.08517056,0.07822912,0.06876806,0.05747814,0.04785274,0.043816518,0.0498421,0.067408375,0.092473425,0.114075266,0.12209523,0.116732396,0.11188627,0.11896849,0.13609816,0.14679515,0.14635457,0.14656454,0.16695209,0.20390892,0.23417872,0.23592873,0.21352082,0.18783097,0.17334926,0.16693866,0.15913044,0.1461491,0.12920858,0.108137004,0.08254789,0.05668029,0.03923162,0.035040885,0.040844426,0.047209278,0.047369838,0.04047822,0.030828215,0.022035303,0.01544511,0.011648275,0.013003148,0.023202276,0.04141796,0.06113873,0.071347676,0.06724134,0.051488396,0.033538084,0.019487603,0.011285168,0.0068833777,0.00489587,0.004421137,0.0049126376,0.005525921,0.005709918,0.005619748,0.0060078967,0.0074968063,0.009888109,0.012097481,0.01309752,0.012607549,0.011193301,0.009581037,0.008422695,0.008271134,0.00936558,0.01149337,0.013975386,0.01651494,0.018797563,0.020313455,0.019838696,0.017103767,0.014021563,0.014973615,0.024118891,0.041200507,0.059787795,0.06995201,0.066619255,0.053794343,0.04338655,0.04401085,0.05548476,0.06756254,0.07112205,0.063113324,0.049167812,0.03597163,0.028370673,0.028108202,0.035374474,0.048799906,0.063675106,0.074745886,0.07756392,0.072463386,0.061762262,0.04997759,0.03967156,0.032798383,0.028969921,0.02874423,0.03165363,0.03701049,0.04178311,0.044227555,0.044366676,0.044158388,0.043894242,0.04180816,0.0374444,0.03523228,0.044694167,0.07147924,0.10977874,0.1421895,0.15268622,0.13923848,0.11277618,0.087166905,0.06815364,0.055381045,0.045885693,0.03839131,0.032139428,0.026749572,0.02260458,0.021132678,0.023948492,0.031086437,0.040222343,0.048737574,0.054987967,0.059373546,0.061665777,0.06164758,0.058447156,0.052958924,0.046273995,0.040278245,0.03531534,0.031068685,0.026001804,0.020375244,0.015892988,0.015992375,0.02180112,0.03218414,0.042993292,0.05077791,0.05288041,0.049212247,0.041012976,0.03135705,0.023070069,0.017934132,0.015647072,0.015638739,0.017339693,0.020814298,0.024556277,0.026779646,0.025663517,0.022435158,0.019381912,0.019549375,0.023867792,0.032485116,0.04302163,0.051573306,0.05296716,0.045952376,0.034557644,0.0269088,0.027787423,0.035719495,0.04383811,0.04697032,0.04484524,0.04114269,0.039021738,0.03888753,0.040340915,0.043006804,0.046817,0.050543185,0.053628832,0.05758514,0.063699,0.0706471,0.07311978,0.06805636,0.056193527,0.042356137,0.02995369,0.020613553,0.014187357,0.010370876,0.008516577,0.0081840055,0.009468733,0.012201796,0.015479225,0.017612873,0.018556478,0.01908497,0.02065576,0.0228166,0.025134392,0.026996633,0.028758995,0.03011231,0.030921763,0.031734306,0.03515018,0.043658167,0.057798535,0.07317347,0.08352682,0.08335334,0.07304793,0.057489898,0.043491695,0.034969952,0.031783205,0.032132294,0.03437568,0.038184635,0.042257,0.045197695,0.045945812,0.04494344,0.042728353,0.03911912,0.033698082,0.026719475,0.01945061,0.013280523,0.009214924,0.0076690596,0.008403889,0.010801609,0.0142590515,0.019062102,0.02575096,0.034179706,0.042496294,0.047945708,0.048252475,0.044509355,0.042053107,0.050369363,0.073187806,0.10512302,0.12817323,0.12983663,0.10727709,0.074377336,0.044309407,0.02666364,0.01999903,0.02025395,0.021668514,0.022099562,0.021473587,0.022073464,0.024693144,0.02864241,0.03135687,0.0319091,0.031088203,0.030716328,0.030996645,0.03014957,0.026747674,0.021005282,0.015542938,0.012746852,0.01441138,0.019762123,0.026570046,0.030918159,0.030815555,0.026583003,0.021532536,0.018400915,0.018423079,0.02078489,0.024153465,0.027686743,0.0304297,0.031586792,0.030136853,0.026994534,0.02444368,0.02472648,0.027479246,0.029778713,0.02942861,0.026487434,0.023715997,0.02281799,0.024017284,0.026053151,0.029118976,0.034902915,0.043613374,0.052231085,0.054478895,0.04798759,0.03528429,0.024161197,0.020273717,0.027001768,0.043694317,0.068014055,0.09232289,0.10721312,0.10441982,0.08593129,0.060515657,0.039571013,0.027397716,0.022602692,0.020489177,0.018268565,0.015474652,0.0132788755,0.012875994,0.015529667,0.022838935,0.03668363,0.055874765,0.0769258,0.09561792,0.11398351,0.1341932,0.15687782,0.17319578,0.1775855,0.16692138,0.1470129,0.12107163,0.09367479,0.06784437,0.049834978,0.045300823,0.056868862,0.08063445,0.1070148,0.12673621,0.13804221,0.14641573,0.15916002,0.17571448,0.1899112,0.19090565,0.17393355,0.14072524,0.10512859,0.0835397,0.08456433,0.10068592,0.11477059,0.1209257,0.12900688,0.15609968,0.19893722,0.23356128,0.23051208,0.1863725,0.1242603,0.0778806,0.061552208,0.06796413,0.07792901,0.08273143,0.085490614,0.09493277,0.109313786,0.11958316,0.11685646,0.10564683,0.09459048,0.08918369,0.08272324,0.06957197,0.04925624,0.030379735,0.01982767,0.021209748,0.0333478,0.052313786,0.07191023,0.08477518,0.08839649,0.08479486,0.08048796,0.07810947,0.07815641,0.07761934,0.076960884,0.076721884,0.0787115,0.08153998,0.083785325,0.083953775,0.08173165,0.076218985,0.066546746,0.05349392,0.0404013,0.030982196,0.026881265,0.026552172,0.027320413,0.026841842,0.024842156,0.02222255,0.020675221,0.020745745,0.022224413,0.024917534,0.030927533,0.044061612,0.06630832,0.093456596,0.1156613,0.12368009,0.11593907,0.099308215,0.08497069,0.08173272,0.09284683,0.113380514,0.13345176,0.14258496,0.13749583,0.121898234,0.10340036,0.086587705,0.0723245,0.05956401,0.047889594,0.03821407,0.031334996,0.02845057,0.029710641,0.03404579,0.038338676,0.03973375,0.037528966,0.032972608,0.02750904,0.021906614,0.017215123,0.01498255,0.016061665,0.01958884,0.023718359,0.026801614,0.02809404,0.027086353,0.023976319,0.019549236,0.016097298,0.016089886,0.022320688,0.03581502,0.05702735,0.08396572,0.11324934,0.13827631,0.15321171,0.15626188,0.15111011,0.14267045,0.13188787,0.11817507,0.10138463,0.08437588,0.06784093,0.05225612,0.0376081,0.027354361,0.024505772,0.0333847,0.056804627,0.097828805,0.15174423,0.2057687,0.23889089,0.23665549,0.19934283,0.14446084,0.09348074,0.0596976,0.04419595,0.040769976,0.043339994,0.04727943,0.04997465,0.04902446,0.04449028,0.03784683,0.032441743,0.029855905,0.030610299,0.033817474,0.04084109,0.053228427,0.07015844,0.08480688,0.088709354,0.07858724,0.059797514,0.0422073,0.033748206,0.0386015,0.057408374,0.087390445,0.119989455,0.14369112,0.14910947,0.13619375,0.11332027,0.09649833,0.10223607,0.14594208,0.2275358,0.3301319,0.4151344,0.45077303,0.4225662,0.35182634,0.26883563,0.20375822,0.16328393,0.14447494,0.13602492,0.13252312,0.12953526,0.12503433,0.116852134,0.10513079,0.09349076,0.08547596,0.08330983,0.08489892,0.0876605,0.08962671,0.092285186,0.09929188,0.11204509,0.12603837,0.13100055,0.119826846,0.09468391,0.06601353,0.04376867,0.030825434,0.024335437,0.020070909,0.016599005,0.01478332,0.016679874,0.02294658,0.031940952,0.03964451,0.042271852,0.038406763,0.030462742,0.023378178,0.022533251,0.029916376,0.0423131,0.051990982,0.052642938,0.043712158,0.031095779,0.02176655,0.019389471,0.023121329,0.029935256,0.036876377,0.042114105,0.044751253,0.0448254,0.042472545,0.03837079,0.03305201,0.027489318,0.022778848,0.021312473,0.027193755,0.043533117,0.068254404,0.09162951,0.102398224,0.095638454,0.076904155,0.05631991,0.041402973,0.03339936,0.030012421,0.028136307,0.025793457,0.022592686,0.020349005,0.021553135,0.026740283,0.03273571,0.035018776,0.032237515,0.02882289,0.033165086,0.05046317,0.07843941,0.10625175,0.1222927,0.11968273,0.1003596,0.0728068,0.049449127,0.04249808,0.058412988,0.09210694,0.12815869,0.14797063,0.14295608,0.116272576,0.080821216,0.04783683,0.024768328,0.0127330385,0.01041479,0.014466859,0.022086,0.03092966,0.039974388,0.048101097,0.054297354,0.057064906,0.05540825,0.04919019,0.039427802,0.028667687,0.020782478,0.02036354,0.030589072,0.048771877,0.06693164,0.07461337,0.069724016,0.058115687,0.05039997,0.05001312,0.053915262,0.055806246,0.05318746,0.046631187,0.038138304,0.02943731,0.022452272,0.018999875,0.019757433,0.023852715,0.029201305,0.03407986,0.03739029,0.03944342,0.040925328,0.042280957,0.042647075,0.04021136,0.03431231,0.026133088,0.018827027,0.015077139,0.016486952,0.023144647,0.033844415,0.046732616,0.060019117,0.072572745,0.08284533,0.08733428,0.08370295,0.07287785,0.062206227,0.058962096,0.06941286,0.09400004,0.12987888,0.16692145,0.19287072,0.19948435,0.18954496,0.1735528,0.16021967,0.15285625,0.14941181,0.1481237,0.14721416,0.1474958,0.15047662,0.15730393,0.16589497,0.17212947,0.17274208,0.16563036,0.14882302,0.12124575,0.08674268,0.054482173,0.033574067,0.026327504,0.028203195,0.032168623,0.03403999,0.03249706,0.028746644,0.024272775,0.020952657,0.020105725,0.024244836,0.03770457,0.06398519,0.10035065,0.13439353,0.15241928,0.14849623,0.13064942,0.11105708,0.09877455,0.093370885,0.09078995,0.08576924,0.076740034,0.06421419,0.051323026,0.04101007,0.03532145,0.03368397,0.033663053,0.032742612,0.03061411,0.028584776,0.028128803,0.028614044,0.029167468,0.028716043,0.028194876,0.027900117,0.028633565,0.029672362,0.03127767,0.03306073,0.036027998,0.04170486,0.053877234,0.07481732,0.103203475,0.13272412,0.15740256,0.17430401,0.18418904,0.18769117,0.18580376,0.18015783,0.17420882,0.16888444,0.16095464,0.14429255,0.11733135,0.08582691,0.060506474,0.0490828,0.05338384,0.06847047,0.08624679,0.09766512,0.09735575,0.085401505,0.06668,0.047790553,0.034060627,0.028699035,0.03167673,0.039871782,0.047633607,0.049816597,0.044868488,0.03540795,0.026290417,0.02136553,0.022436723,0.028281355,0.03635082,0.044240903,0.05250754,0.062250286,0.072694235,0.079877496,0.08040907,0.07395669,0.062393174,0.048720285,0.036348544,0.031194793,0.038789842,0.06377216,0.10373533,0.1497085,0.1846941,0.19480275,0.17649388,0.14150205,0.10858667,0.094510235,0.11084417,0.16157341,0.24131374,0.3241767,0.37340036,0.35763606,0.2813023,0.17764501,0.08983395,0.038492177,0.02251614,0.027662173,0.042672064,0.059562206,0.075220585,0.087800324,0.09909361,0.10841763,0.1153812,0.11576576,0.109020315,0.09482678,0.077480584,0.060464352,0.04796329,0.04084121,0.03825228,0.037441432,0.03666796,0.035228055,0.03396684,0.034593374,0.039348513,0.04903583,0.060712438,0.068685256,0.06818245,0.060102273,0.05012736,0.044915095,0.04632735,0.051219642,0.053745672,0.05124895,0.045549765,0.04244115,0.04558271,0.054296043,0.06259834,0.065553,0.06242786,0.057847377,0.0560741,0.05726644,0.058238488,0.056666423,0.05432238,0.0535302,0.054599673,0.054733116,0.053167034,0.052322358,0.055344105,0.061585065,0.06629378,0.065860204,0.060131982,0.05264787,0.046157375,0.04234143,0.0414419,0.04400873,0.05183838,0.068452336,0.09680206,0.1317979,0.15926702,0.16211377,0.13687505,0.095571645,0.058534324,0.036786903,0.030368542,0.031993758,0.036503978,0.04098254,0.044589225,0.046931934,0.049587023,0.05458276,0.062060893,0.068264894,0.06883647,0.06347134,0.05827604,0.060431313,0.07316822,0.09144074,0.10710048,0.112112544,0.105050735,0.08890486,0.07005862,0.052709106,0.038759347,0.0277379,0.01922085,0.013392211,0.011970059,0.017934097,0.032995675,0.053776532,0.07153138,0.07867512,0.07642084,0.074093245,0.07950785,0.0907319,0.09844927,0.09522364,0.08093279,0.061191957,0.043018207,0.032684315,0.034563895,0.049446296,0.07378301,0.09981588,0.118873835,0.1238608,0.114191495,0.09485627,0.07480333,0.06004362,0.052785795,0.050629575,0.050235886,0.047858577,0.04190975,0.032649025,0.023076087,0.016651029,0.017050823,0.025326364,0.039452925,0.052800924,0.05846856,0.053625375,0.043489188,0.037791017,0.04286244,0.056632888,0.06902125,0.07171459,0.06296625,0.050311144,0.042311374,0.0430817,0.048396513,0.050366387,0.04415949,0.03162671,0.019649105,0.015337934,0.02300305,0.043215737,0.070556276,0.09561204,0.10688198,0.100727595,0.08138887,0.061558083,0.050005917,0.048930686,0.051158223,0.050121754,0.044948444,0.041279286,0.044594903,0.053085025,0.060431242,0.06006981,0.05376568,0.047227725,0.046858255,0.051220447,0.055191934,0.053186078,0.045980778,0.037704617,0.032521345,0.030755445,0.030437479,0.030694678,0.03165524,0.033432532,0.033352796,0.029347174,0.021409094,0.012836531,0.0066227266,0.004323522,0.0069321427,0.017177021,0.039219547,0.07355545,0.11236892,0.13981311,0.14205612,0.11738691,0.07896,0.045044634,0.028133998,0.02914765,0.041311707,0.055185556,0.06360001,0.06270509,0.05277403,0.038256507,0.025978876,0.022732154,0.02912297,0.03992668,0.045541976,0.04156706,0.029617667,0.016954571,0.008394975,0.005595673,0.0068286,0.010551643,0.015112738,0.019193148,0.02141548,0.021482216,0.019844139,0.017591631,0.015533934,0.014565335,0.015670305,0.02029801,0.030032372,0.045796007,0.065777905,0.08462014,0.09536328,0.09557202,0.08935835,0.08434751,0.083135776,0.08185718,0.07442083,0.060236547,0.044618666,0.03485891,0.03419189,0.04111168,0.050564755,0.058080286,0.0606488,0.058107004,0.05179013,0.044672538,0.039371993,0.03745604,0.03841531,0.041102305,0.043833297,0.045031656,0.042687666,0.03628083,0.027073761,0.018413382,0.013455388,0.014632758,0.021913663,0.03267961,0.04161134,0.044142067,0.03929914,0.030482894,0.022309452,0.017300455,0.0149561465,0.013278018,0.010954295,0.008343327,0.007049402,0.00846413,0.012317111,0.0165418,0.019347519,0.021268146,0.025892982,0.035299957,0.047945973,0.057130266,0.05820779,0.050022226,0.037265602,0.024213903,0.014319129,0.008732205,0.009185878,0.017738074,0.034000117,0.053683657,0.069085725,0.0769008,0.07890373,0.08035458,0.08129516,0.07842535,0.06871719,0.05443771,0.04022801,0.029361375,0.023072474,0.021347104,0.023916654,0.028765574,0.033230525,0.035661537,0.03665715,0.03772303,0.03917409,0.039754167,0.037886698,0.03309006,0.02680371,0.021307653,0.018768592,0.019024173,0.021067403,0.023846352,0.029346833,0.03834446,0.050688565,0.06395311,0.081809975,0.10964039,0.14950675,0.18914746,0.2105468,0.20143773,0.16630226,0.12017613,0.079684354,0.056887973,0.058552105,0.08415393,0.12095342,0.1480692,0.14739756,0.11947439,0.08124916,0.05470672,0.0484153,0.05686891,0.06652469,0.06973789,0.06641701,0.06297768,0.06322522,0.06717806,0.069889106,0.06754936,0.058298226,0.044470582,0.03035941,0.021866323,0.024416111,0.039593514,0.06411488,0.08935853,0.107721746,0.11405841,0.10820972,0.091693364,0.06859611,0.045379046,0.029937526,0.028860932,0.04218784,0.064301796,0.08420897,0.09391261,0.08911715,0.07332589,0.051827993,0.032180708,0.019625219,0.018767446,0.029759562,0.04855053,0.066594504,0.0773214,0.07921659,0.07676645,0.07379603,0.07218724,0.07115546,0.07191048,0.075330086,0.08087638,0.08416706,0.08025121,0.067319654,0.04864058,0.031133018,0.020815818,0.019603252,0.024122944,0.028919311,0.031183975,0.0334525,0.03996501,0.050744057,0.05972439,0.061922256,0.0608737,0.06808291,0.09210762,0.12895733,0.16212696,0.17449117,0.15868667,0.12228621,0.07947233,0.04400876,0.021121442,0.010247494,0.006897036,0.007575124,0.009845562,0.012733686,0.015626969,0.018487291,0.021835797,0.026955158,0.03434037,0.043213967,0.050774742,0.055104747,0.055490803,0.05379546,0.050977964,0.047600064,0.042407956,0.035634167,0.0278645,0.021073839,0.01614534,0.013757247,0.013723464,0.015858287,0.019312598,0.022836125,0.025213495,0.026031256,0.025631642,0.024523184,0.022935824,0.020844743,0.01832085,0.015523317,0.012925789,0.011114155,0.01071149,0.011806175,0.013880681,0.016151309,0.018292397,0.02065576,0.024054803,0.028756445,0.03451285,0.03989034,0.043340057,0.042826984,0.03788865,0.029541237,0.020737607,0.013911966,0.010057848,0.008479412,0.008141604,0.008430523,0.00912967,0.010145894,0.011507739,0.013478617,0.01665065,0.020828478,0.024889745,0.026558807,0.024900654,0.02054896,0.015920212,0.012570758,0.01095406,0.010540005,0.011325698,0.01416529,0.01976238,0.027484804,0.03467768,0.038930837,0.040087942,0.04098524,0.044581786,0.05211237,0.06297133,0.076083414,0.08916292,0.09814372,0.0982686,0.08797532,0.069861285,0.04993996,0.03353223,0.024374695,0.022580484,0.026212752,0.03135389,0.035078783,0.03574404,0.03376456,0.030245738,0.026741164,0.024475122,0.023897713,0.024187224,0.023729995,0.021650447,0.018904036,0.017507158,0.018497383,0.020643348,0.021687835,0.020302802,0.01716169,0.013972394,0.012089615,0.011812422,0.012528275,0.013378422,0.013579507,0.012766576,0.010997863,0.009133476,0.009141932,0.014113273,0.026478732,0.045098487,0.06365387,0.07357534,0.07035163,0.05731902,0.043521125,0.036313117,0.037160754,0.04159522,0.04477775,0.044246033,0.041380346,0.0383276,0.036531616,0.03529106,0.033210877,0.02935704,0.024303453,0.019641012,0.016967779,0.016715212,0.017919296,0.01894285,0.018839644,0.017783603,0.01658383,0.015802965,0.015490361,0.015313476,0.014666685,0.01322832,0.011252199,0.009766433,0.009353726,0.009830476,0.010406849,0.011593424,0.015091315,0.022649461,0.032982823,0.04217295,0.045692537,0.042451065,0.03467152,0.026232367,0.019645179,0.016202396,0.016561069,0.021333799,0.029492935,0.038318623,0.044794504,0.048610795,0.051557988,0.0545889,0.05594574,0.052831214,0.04545541,0.036288675,0.028618516,0.023302754,0.020994598,0.021985015,0.026568549,0.03271505,0.037395936,0.038723852,0.03726314,0.034485828,0.031195529,0.029646901,0.035258114,0.05419326,0.08452651,0.11357816,0.12449474,0.111157365,0.082187355,0.054378096,0.038858917,0.036504492,0.04059984,0.04375956,0.041989285,0.035423648,0.026925417,0.019459123,0.014853772,0.013429788,0.015435695,0.021212297,0.03131023,0.0440964,0.0559431,0.062325537,0.062021803,0.057732236,0.053390462,0.050890546,0.048836842,0.0464385,0.043814827,0.04301016,0.044070248,0.045952845,0.04630397,0.04454093,0.041691974,0.039663065,0.03887439,0.038164515,0.03589587,0.03180621,0.026769275,0.022248276,0.019068718,0.017457709,0.017028334,0.017296404,0.018192483,0.019905655,0.023054443,0.027609125,0.033427276,0.039400596,0.04484387,0.04919477,0.054677617,0.06462885,0.08321156,0.107916534,0.13242279,0.14669536,0.14992557,0.14541703,0.14082243,0.13519317,0.12636784,0.11216879,0.098640345,0.09244043,0.09679497,0.105748534,0.10940742,0.10040591,0.080655254,0.059100017,0.04445319,0.038889486,0.03828736,0.03821069,0.03677945,0.034725208,0.032623004,0.031100595,0.03183086,0.035690714,0.041792553,0.04546045,0.043998152,0.037495617,0.031235768,0.029602652,0.03508641,0.045526773,0.057501655,0.06705908,0.07301772,0.075783215,0.07736951,0.07877212,0.08052341,0.08279004,0.08527749,0.08674697,0.084597416,0.077710345,0.067059346,0.055518765,0.044761,0.03510366,0.026378475,0.019341908,0.014777082,0.013824386,0.018161371,0.031216415,0.052813366,0.078054935,0.09627467,0.10197401,0.095297396,0.083053865,0.068686895,0.054541614,0.042266075,0.039025974,0.053594727,0.091445826,0.14360084,0.19081785,0.21579571,0.22424884,0.2353038,0.2600313,0.28218207,0.2789136,0.25198486,0.23264241,0.25234377,0.30453908,0.35180518,0.3573999,0.32415166,0.28332376,0.2645605,0.26508644,0.26207274,0.23954694,0.20613639,0.18200792,0.17539804,0.17549227,0.16434686,0.1366628,0.1015779,0.07474203,0.06524996,0.07338523,0.09273347,0.11226217,0.12287614,0.118811995,0.10489548,0.090364136,0.08854712,0.1088539,0.15152806,0.20350611,0.24186437,0.25435802,0.24725284,0.24260558,0.25288746,0.27695277,0.30529463,0.33510408,0.36438897,0.38938388,0.40252304,0.40383354,0.3968902,0.3899273,0.3825309,0.3716825,0.34375978,0.29388276,0.22335477,0.15002833,0.087850325,0.047503337,0.029434793,0.034053702,0.055975,0.0848062,0.10367822,0.10263761,0.08330748,0.0588048,0.04069553,0.03420316,0.038599312,0.05090153,0.06673112,0.08303514,0.10387862,0.14225797,0.206392,0.28970265,0.36924574,0.42762113,0.4612868,0.48124436,0.49480698,0.5012427,0.49120983,0.46051374,0.4155728,0.37442634,0.34962225,0.3375206,0.317057,0.2730695,0.2103054,0.15308668,0.12156552,0.11792228,0.12939389,0.14221668,0.15128525,0.1561323,0.15739603,0.15312217,0.14191554,0.12548642,0.10804948,0.09479836,0.0861649,0.080703795,0.07507927,0.06952586,0.06498856,0.062838465,0.062569246,0.06279772,0.06272891,0.062059883,0.06077525,0.05810283,0.05295523,0.045198653,0.0356841,0.026553988,0.019338226,0.014981411,0.013021835,0.012780788,0.013566911,0.015512317,0.019018998,0.024712838,0.03265965,0.042591702,0.05335528,0.06306825,0.06968481,0.07189706,0.07034158,0.067269504,0.06631973,0.07049721,0.079906754,0.09147501,0.10074822,0.10628068,0.108368166,0.108021654,0.104018666,0.09715631,0.090756446,0.090509616,0.09771741,0.10785252,0.11262793,0.10798488,0.097430475,0.0887279,0.08695633,0.09049526,0.094614625,0.09483078,0.09071949,0.08501679,0.08368844,0.09010049,0.101826966,0.10958049,0.10679722,0.0944367,0.08119789,0.072977565,0.06997559,0.06743425,0.06346065,0.059058998,0.057705134,0.06132775,0.06986699,0.08060935,0.08847026,0.09040909,0.08634061,0.08040159,0.07463918,0.06929329,0.06386054,0.060732443,0.062291693,0.06720013,0.07008445,0.06717525,0.059608325,0.05250686,0.04910946,0.04986216,0.053279515,0.060049355,0.07101213,0.08631176,0.10304653,0.118546486,0.13084735,0.13764323,0.13554108,0.121268004,0.0976157,0.07128195,0.050852627,0.040138748,0.03995626,0.048281822,0.062057212,0.07682053,0.088579915,0.096489586,0.10311099,0.11163851,0.12139815,0.12683637,0.121196,0.102930546,0.07781715,0.05559237,0.04273604,0.039769217,0.042494327,0.046595454,0.049737785,0.051675875,0.05405247,0.0591078,0.06980964,0.08436423,0.09771964,0.101489484,0.09523199,0.083836414,0.076482885,0.075677514,0.08177451,0.09527854,0.11959252,0.15238439,0.18257117,0.19557714,0.18647629,0.16324179,0.14012286,0.12605052,0.121418774,0.12216911,0.122883745,0.11963999,0.10861367,0.09141896,0.073635824,0.063983716,0.06570359,0.07621714,0.088862956,0.1003417,0.11050066,0.12077019,0.12881716,0.13203464,0.12889074,0.123623274,0.12017953,0.12151297,0.12473649,0.1272034,0.12477111,0.117137045,0.10381743,0.09026212,0.08062878,0.0792661,0.08239272,0.08751711,0.092046745,0.09948992,0.11032665,0.12476661,0.14019339,0.1617099,0.20030148,0.2692881,0.36247602,0.4534471,0.5057013,0.5055046,0.46423212,0.40943754,0.35941756,0.321712,0.29529467,0.2797746,0.27258468,0.27039373,0.2658497,0.25537738,0.23615237,0.21113913,0.18057878,0.14847894,0.1194388,0.10451802,0.11376385,0.15148126,0.21202107,0.2800511,0.33842245,0.369925,0.36718974,0.33264694,0.28226885,0.23379052,0.2018457,0.19049191,0.1975257,0.21260841,0.22239222,0.21406515,0.18507391,0.14383899,0.10377554,0.07455551,0.058545757,0.055716053,0.06372201,0.08122166,0.10328879,0.12965457,0.15600501,0.17902243,0.18684001,0.17784166,0.15647037,0.13748638,0.12570575,0.1189161,0.10985767,0.09783762,0.086354874,0.07890906,0.07533417,0.07519704,0.08049634,0.0954533,0.1188282,0.14424211,0.16283798,0.1750328,0.18442929,0.19585724,0.2075854,0.22323869,0.24486916,0.269933,0.2822395,0.2721548,0.24423937,0.21543582,0.19309424,0.17533243,0.15953054,0.14991555,0.14963444,0.1557181,0.165232,0.17601745,0.1851464,0.18253799,0.1656335,0.14175414,0.12682506,0.12337003,0.1226151,0.1111429,0.09031689,0.07204606,0.072036214,0.092128575,0.12070915,0.13641654,0.12755798,0.09761208,0.06482885,0.045137838,0.04277953,0.049062725,0.053019296,0.051790386,0.0516144,0.05861933,0.07060728,0.07789003,0.07595564,0.06962228,0.06809807,0.07279592,0.075766094,0.06916556,0.05232433,0.033462,0.02043452,0.017829938,0.023188448,0.03156154,0.036573328,0.03631973,0.031924024,0.027549831,0.025896946,0.030202834,0.04314624,0.065626204,0.09288627,0.11567048,0.12797219,0.13248639,0.14108771,0.16068858,0.18690436,0.20176028,0.1929477,0.16135414,0.12501226,0.10303142,0.10476145,0.12412695,0.14415589,0.15036775,0.13650988,0.108853705,0.077079915,0.05175747,0.039930757,0.04494146,0.06287397,0.08238441,0.09086537,0.083302885,0.065730534,0.04921486,0.040323656,0.037975308,0.03722747,0.037620254,0.044908017,0.06745262,0.10403693,0.14146833,0.159478,0.1488845,0.11578911,0.077250995,0.04672192,0.030383162,0.029247763,0.04067787,0.059251625,0.07511898,0.08170418,0.07642448,0.06377272,0.049472068,0.040466156,0.041549042,0.052306205,0.066036314,0.07175979,0.06479882,0.048319925,0.032664057,0.024717078,0.026326602,0.033228394,0.04020241,0.04212308,0.03753447,0.028139466,0.018697191,0.012712035,0.011325408,0.012754583,0.014743271,0.015613372,0.014947511,0.013380227,0.01234018,0.0135567235,0.017226152,0.021579944,0.023118822,0.020338226,0.014615764,0.010279149,0.0108660245,0.01714347,0.026983628,0.037489977,0.047684763,0.05737522,0.0656678,0.06949661,0.0668061,0.058353964,0.047915984,0.039458644,0.03659065,0.041993737,0.05665183,0.07705765,0.09597411,0.106475316,0.10689455,0.10057951,0.091545224,0.081781186,0.072207876,0.06564716,0.065229714,0.0718238,0.08151888,0.088286765,0.08667327,0.075638406,0.058699835,0.04325665,0.03546089,0.0373737,0.045122255,0.053588133,0.05872042,0.060399905,0.05881923,0.05533069,0.05072716,0.048448056,0.05025281,0.05565661,0.059542164,0.05863027,0.053744927,0.049683627,0.04876102,0.04877068,0.04630773,0.041789565,0.039346665,0.041894313,0.047577526,0.051929414,0.052443523,0.0504065,0.048472285,0.047183592,0.045351222,0.042208467,0.03940691,0.039199945,0.041688338,0.045487627,0.049611133,0.056610722,0.06680272,0.077765614,0.082707204,0.08225635,0.08157158,0.08872769,0.101655684,0.1140418,0.11870874,0.11497999,0.10398511,0.08797019,0.07091849,0.059727248,0.06020328,0.071306765,0.085255414,0.09333674,0.09209851,0.08374784,0.072137706,0.060211048,0.050639957,0.04757944,0.054107428,0.06834609,0.08220428,0.08686408,0.079177625,0.06339348,0.04646994,0.03290247,0.02322186,0.016631287,0.012462408,0.010753277,0.010650375,0.011441515,0.012557478,0.014276608,0.016275112,0.017893912,0.019654298,0.025611227,0.041792136,0.07042996,0.103819914,0.12735958,0.12944417,0.11160765,0.08570591,0.06497542,0.056018077]