[0.111932896,0.112775825,0.11394479,0.11291226,0.109279685,0.104044504,0.10094079,0.10247368,0.10964903,0.12056217,0.1325196,0.14239542,0.1493753,0.15366215,0.15914391,0.16741984,0.17959072,0.1902097,0.19501202,0.18991263,0.17728567,0.16058685,0.14371376,0.12664099,0.10745525,0.08467885,0.06103188,0.04329826,0.03908424,0.05300085,0.085566096,0.13291787,0.18554556,0.22729228,0.24304837,0.2288239,0.19773506,0.16718902,0.14583509,0.12721176,0.10269413,0.07102498,0.04017062,0.018347839,0.0089681065,0.01267233,0.030070513,0.061946254,0.10197493,0.13863742,0.15792502,0.1582308,0.14685877,0.1389761,0.13824056,0.13997948,0.13054048,0.105860025,0.071612746,0.043084934,0.032772694,0.044297624,0.073246025,0.10818666,0.13934141,0.15603392,0.15597643,0.14167203,0.12685545,0.124976136,0.14430125,0.1787836,0.2147805,0.24014665,0.25283492,0.2588216,0.26373327,0.26504132,0.25346074,0.22057588,0.16850667,0.10942436,0.058908056,0.02564674,0.009197931,0.0032889356,0.0018533696,0.0015817439,0.0014703799,0.0015054882,0.004147121,0.015749596,0.046219375,0.09757805,0.15636706,0.19487226,0.194941,0.16443972,0.13365145,0.12796232,0.14617674,0.16628517,0.16605191,0.144513,0.11727274,0.10354825,0.107998945,0.12538446,0.1493455,0.18437731,0.23136549,0.27944696,0.3025974,0.29024503,0.25625303,0.23579359,0.2469468,0.28252316,0.31138596,0.3102534,0.27050623,0.20558257,0.13454522,0.08008907,0.05876729,0.08343836,0.14980192,0.2341566,0.29375765,0.29723844,0.24156977,0.15820073,0.08426861,0.04463555,0.043201912,0.072487056,0.11991779,0.16771924,0.19918008,0.20449753,0.19313787,0.18452628,0.19352667,0.21249841,0.21837698,0.19274378,0.1395592,0.08012369,0.035381276,0.01173053,0.00363304,0.0021688798,0.0023446784,0.0026376455,0.004180332,0.0105346395,0.027315231,0.05780348,0.095880754,0.12608308,0.13297398,0.115582205,0.08843323,0.069307305,0.06361826,0.062854245,0.0563309,0.04133486,0.024018219,0.010902684,0.004272466,0.0020176698,0.0015361994,0.0013912725,0.0012872671,0.0012591103,0.0013063935,0.001731235,0.0051053395,0.017839128,0.049863476,0.10553882,0.17680867,0.24069971,0.27588597,0.27414635,0.24596103,0.20580392,0.16395117,0.1237785,0.08846443,0.06176382,0.045057844,0.035196196,0.027304046,0.01886318,0.01079826,0.004940429,0.001937381,0.00089094765,0.00066972844,0.00062223413,0.0005961828,0.000607102,0.0006627431,0.00074169366,0.0008037154,0.00094051147,0.0017748643,0.0044621136,0.010063984,0.018053945,0.026618415,0.034218863,0.041349944,0.049136043,0.056995824,0.06325108,0.06742399,0.07114172,0.07417799,0.07292976,0.06330843,0.04608421,0.027122965,0.014107402,0.013976107,0.033166576,0.073806934,0.12905933,0.1828721,0.21998729,0.23556612,0.2344225,0.22532119,0.21544822,0.21218342,0.22120363,0.24219197,0.26740566,0.281256,0.27169585,0.23248327,0.17294417,0.10831014,0.055977926,0.022757037,0.0071448903,0.001961183,0.0020121299,0.006241776,0.01672134,0.034135465,0.053777248,0.06663823,0.066277005,0.055816665,0.047119748,0.05101216,0.06924238,0.0938722,0.11640666,0.13200644,0.14032154,0.1433831,0.14843827,0.16774903,0.20699088,0.2549087,0.28617358,0.28388497,0.2546786,0.22076117,0.19994831,0.19170718,0.18582447,0.1715376,0.14598735,0.111463495,0.074415155,0.043967724,0.030537626,0.044336528,0.08660213,0.14484483,0.19303273,0.21059985,0.19724065,0.1713138,0.15184526,0.14464031,0.1494434,0.16468753,0.18735719,0.20514607,0.20443797,0.18292332,0.15369147,0.13405468,0.13427316,0.1542452,0.18937826,0.23378663,0.28150117,0.32862774,0.36787102,0.39226174,0.38886127,0.35630307,0.3011626,0.24198884,0.18942772,0.14938654,0.12668309,0.13446379,0.18377392,0.26749113,0.3553557,0.40767908,0.4030973,0.35068706,0.28539392,0.23762113,0.21492468,0.19977792,0.17526944,0.14214091,0.1169059,0.10996145,0.11386401,0.110234626,0.089612424,0.058135837,0.031810563,0.024597852,0.043678734,0.09122586,0.15848441,0.23019738,0.2805796,0.29402864,0.26302528,0.20167631,0.13028586,0.0757718,0.054700553,0.07093677,0.11279496,0.16357781,0.2106098,0.24708843,0.2647659,0.2545846,0.21494423,0.16294387,0.123429485,0.1124677,0.12426233,0.14227082,0.15300609,0.15277244,0.14251746,0.12311247,0.100986205,0.088814996,0.09914848,0.12845397,0.15593864,0.15900892,0.13123786,0.08676275,0.046615463,0.027385065,0.037759006,0.079624556,0.14731982,0.22256768,0.2834929,0.31462356,0.31941482,0.3085728,0.288983,0.25497833,0.2037503,0.14554088,0.10323218,0.09124526,0.10337374,0.11703035,0.11492243,0.09898391,0.086185664,0.091468,0.11306276,0.1356522,0.14117168,0.12361899,0.089917004,0.05634738,0.03759804,0.042265058,0.06846913,0.107132696,0.14380445,0.1686992,0.17837107,0.17845498,0.17369145,0.1659161,0.15187539,0.12917028,0.09878734,0.065751344,0.037381653,0.020314064,0.018463096,0.030504445,0.049034934,0.06285473,0.06319991,0.049849015,0.03040118,0.015085422,0.010840806,0.022085771,0.049271405,0.08992178,0.13560373,0.17823231,0.20877016,0.2213579,0.2103406,0.179691,0.140913,0.109547384,0.09232506,0.089272566,0.09844586,0.12175548,0.15688291,0.19428833,0.2163145,0.21158974,0.1812241,0.1456889,0.13011622,0.1499479,0.19276589,0.22771376,0.22503668,0.18112314,0.11620275,0.058465067,0.024402365,0.016812293,0.032197516,0.06412677,0.10508245,0.14260674,0.17047353,0.18595017,0.19530617,0.1966539,0.1870383,0.15816563,0.11510865,0.06789922,0.031656858,0.010650259,0.003900621,0.0073645874,0.023429682,0.0556407,0.10398934,0.15637617,0.19433583,0.20256412,0.18329419,0.15553747,0.14238018,0.15415885,0.18243192,0.21000296,0.22219038,0.2146932,0.19098775,0.15986258,0.13028787,0.10762062,0.09061871,0.07486866,0.058941934,0.04724891,0.04386331,0.04688041,0.048192997,0.043370802,0.035860647,0.03621614,0.05237921,0.08452866,0.122225255,0.15210344,0.16737461,0.17671563,0.1959846,0.23483342,0.28523552,0.32812437,0.3474914,0.34218338,0.328586,0.32526174,0.33783135,0.349615,0.34028816,0.30531615,0.26046887,0.22547306,0.20528428,0.19197881,0.17240417,0.1414041,0.101593934,0.06297582,0.035542935,0.025424778,0.029834097,0.040040657,0.04476139,0.039634053,0.026769593,0.013835964,0.0051737567,0.0016766054,0.00079062954,0.00078369846,0.0007840979,0.00078561745,0.0007984298,0.00081729266,0.0015548881,0.0057531,0.019522557,0.048702568,0.09230926,0.1362089,0.16126908,0.15824051,0.14102863,0.13534068,0.15699337,0.19481719,0.22117884,0.21498601,0.1781918,0.13049026,0.09216141,0.070669875,0.060576867,0.05178663,0.03918781,0.024134606,0.012917857,0.011630431,0.026586302,0.061340958,0.116402484,0.18519686,0.2549259,0.3064647,0.32032466,0.2877085,0.22087584,0.15272872,0.11855906,0.13588057,0.19260454,0.2540222,0.28247997,0.25876203,0.19634813,0.1328953,0.11161339,0.15231347,0.24083824,0.33281553,0.38266706,0.36916843,0.30689108,0.23156698,0.17750834,0.16048144,0.17301841,0.19348615,0.20089394,0.18970712,0.16812669,0.14763458,0.13046184,0.11160489,0.08632805,0.05713843,0.030887827,0.013456243,0.006441572,0.009610042,0.023367822,0.049116164,0.08632275,0.13127482,0.1752915,0.20795022,0.2187121,0.20434834,0.16853829,0.123256095,0.08286319,0.06269617,0.07184044,0.108724065,0.15798277,0.19862,0.21509965,0.20602453,0.18167418,0.15427037,0.12989746,0.107004665,0.08367956,0.062379956,0.04920772,0.046204414,0.048145864,0.046355754,0.037020236,0.023171348,0.011076427,0.0039137723,0.0012419852,0.00072156807,0.0024743446,0.010651858,0.033751756,0.0770735,0.13552986,0.19154172,0.22737789,0.23860098,0.23418844,0.22739802,0.22245091,0.21911831,0.2124951,0.20048815,0.18151422,0.16013646,0.14461936,0.13988738,0.14117242,0.13563593,0.11455827,0.0807256,0.045674082,0.02168181,0.015311673,0.029947164,0.06329163,0.107457966,0.14640062,0.16629621,0.16176398,0.14283574,0.1275752,0.13613999,0.17341484,0.22779913,0.26998806,0.27861568,0.24521507,0.18648423,0.12602147,0.09176857,0.09543619,0.13191319,0.17665415,0.20420645,0.20195861,0.17762876,0.1530366,0.1467569,0.16575362,0.19956122,0.23585868,0.26322222,0.27686512,0.26901445,0.23589544,0.18342416,0.1332039,0.108833276,0.12085404,0.15643497,0.19216792,0.20679526,0.19727367,0.17295682,0.15198545,0.14506769,0.15184748,0.15845823,0.15172589,0.13079886,0.11270988,0.11787218,0.154388,0.20684439,0.24772267,0.25262418,0.21672077,0.15450421,0.089787245,0.042508855,0.021727353,0.030828228,0.07044296,0.13879775,0.2221696,0.29653367,0.33635476,0.33494267,0.30719626,0.27922782,0.2632946,0.25587964,0.24970956,0.25135592,0.27152753,0.30766788,0.33994266,0.3493459,0.33646616,0.31608725,0.30326033,0.29838398,0.29534486,0.28538525,0.26769853,0.24023373,0.20356876,0.1560468,0.104480065,0.058750074,0.03093231,0.02551754,0.040465172,0.06831587,0.10293875,0.1402253,0.18042983,0.21988499,0.2531297,0.26638263,0.25121894,0.205728,0.14791615,0.10485405,0.103348196,0.14849062,0.22060867,0.2849702,0.31636867,0.3120082,0.28764275,0.25851908,0.2309988,0.20431292,0.17877893,0.15552582,0.13404392,0.11276118,0.09260094,0.07782293,0.07298502,0.07717005,0.08532265,0.08831947,0.081613444,0.064281136,0.042738825,0.022983953,0.0099801505,0.0033770937,0.0011909971,0.0007136544,0.00071563077,0.0007133943,0.0006904926,0.0013434229,0.0049841055,0.017043032,0.043938164,0.09019668,0.15187149,0.21811025,0.27207372,0.30172738,0.29954776,0.26956022,0.22041081,0.17016713,0.13545714,0.12848206,0.14473878,0.16793256,0.18107265,0.17795873,0.16400917,0.1435043,0.11781246,0.08586329,0.05316602,0.026394675,0.011097416,0.0077037183,0.01622735,0.035039805,0.06122272,0.0882538,0.11101723,0.12440885,0.12557554,0.11094936,0.083557546,0.051034365,0.024503566,0.008642714,0.0024178124,0.0008435046,0.0007344083,0.0018310329,0.007123403,0.0215951,0.046598017,0.07573932,0.096725844,0.10306283,0.103028655,0.111709006,0.13736784,0.16978945,0.19383676,0.20025586,0.19656704,0.19462167,0.20167263,0.2108137,0.20976351,0.18950905,0.15331899,0.11056296,0.07150217,0.040790234,0.020090327,0.00840676,0.0053947293,0.0116934255,0.030556133,0.06301095,0.10710759,0.15368849,0.19406903,0.21850272,0.22429098,0.20972724,0.17976873,0.14013274,0.10361009,0.083688356,0.093560375,0.13199057,0.18313013,0.21918084,0.2207226,0.18552011,0.13034962,0.07595603,0.036332015,0.014001031,0.004474092,0.003306885,0.009342201,0.026336372,0.056392998,0.09933642,0.14642446,0.1886043,0.21411985,0.22075264,0.20905705,0.18702257,0.15722512,0.122748345,0.08471906,0.04984492,0.023650428,0.008924049,0.0027414365,0.0010453208,0.0014701737,0.005897725,0.019987738,0.049930204,0.09580711,0.14871067,0.19395185,0.220885,0.22663964,0.21404445,0.18630438,0.14770545,0.10772885,0.08041371,0.0772723,0.09849634,0.13164075,0.15829752,0.16369061,0.14645188,0.12110347,0.11343781,0.13927867,0.19218642,0.24023013,0.25457558,0.22451477,0.16667105,0.104356654,0.05755354,0.03390668,0.03184238,0.042002082,0.05162533,0.0514093,0.04026913,0.024531199,0.013025012,0.012853198,0.030878572,0.07140216,0.13476625,0.20987034,0.27846003,0.31860036,0.3200911,0.2899727,0.25659278,0.25050494,0.28751373,0.3534621,0.41908005,0.45358863,0.44213,0.38275298,0.28946438,0.18571718,0.097542554,0.03997821,0.0119532915,0.002614391,0.0014842219,0.005930886,0.02015577,0.05041131,0.096681654,0.14991148,0.19479816,0.22023185,0.2235925,0.20993434,0.18549572,0.15487988,0.12163914,0.08873519,0.05938891,0.03558956,0.018604225,0.008197623,0.0030460323,0.0011526708,0.000684605,0.0006276099,0.00060105073,0.0006374779,0.002237134,0.00885982,0.025658794,0.052605387,0.08284221,0.10407481,0.11303955,0.116515465,0.12750465,0.14888705,0.17488606,0.19565803,0.20696668,0.20779572,0.19806397,0.17748106,0.14838472,0.11728972,0.09261137,0.078714006,0.072595865,0.065527,0.052152593,0.033732828,0.017078226,0.006423903,0.001993404,0.0013573231,0.005444829,0.01901205,0.048392396,0.091248594,0.13604917,0.16384636,0.16654325,0.14852704,0.12912323,0.124207236,0.14209466,0.17611341,0.21081497,0.22733678,0.21215232,0.16783948,0.112738945,0.07619959,0.07984576,0.12684523,0.19692326,0.2589942,0.28845882,0.28266644,0.25595117,0.22809125,0.20476587,0.18248184,0.15168267,0.11503751,0.08190796,0.06638905,0.07164219,0.093700744,0.1223812,0.15235895,0.17516164,0.18376821,0.16799831,0.13103025,0.08330549,0.042409908,0.016240703,0.0048567657,0.0024583577,0.0072203777,0.02356343,0.059277028,0.117577046,0.19137955,0.26302198,0.3140515,0.3308822,0.31319436,0.26873204,0.21324183,0.15905605,0.11313338,0.07537587,0.044715494,0.022210533,0.008529148,0.003568897,0.0067666746,0.020671612,0.046605665,0.078700714,0.10338905,0.109705865,0.101789705,0.096306205,0.108319096,0.13711476,0.16919832,0.18975,0.19095348,0.17239314,0.13798766,0.09608606,0.05660723,0.027622372,0.012371317,0.011823903,0.02853422,0.06338736,0.11090013,0.15608571,0.18553708,0.19470817,0.19094439,0.18251361,0.17368527,0.16234551,0.14501564,0.11897553,0.08612568,0.05252883,0.027787363,0.020983115,0.040450465,0.088723324,0.15902165,0.23247217,0.28646517,0.30808938,0.3006761,0.28337523,0.2718949,0.27128825,0.26774633,0.25256255,0.22856198,0.21533243,0.22147365,0.23624687,0.23352034,0.19834352,0.13954236,0.0823722,0.04975702,0.04830499,0.070793964,0.10404237,0.13671517,0.16173457,0.1724484,0.16530097,0.13813685,0.09886819,0.057878863,0.027196927,0.0094954185,0.003387011,0.005825743,0.018932696,0.046946168,0.09034737,0.14130867,0.18551432,0.21116988,0.21650912,0.20885462,0.1995579,0.1924746,0.1879368,0.17973214,0.16939455,0.16068669,0.16519678,0.18821247,0.22814262,0.2739285,0.31139433,0.32753956,0.31142494,0.26153293,0.18807608,0.11305541,0.057608485,0.034078598,0.04387627,0.08019995,0.1316997,0.18202168,0.21889806,0.23541887,0.23836838,0.23539253,0.2351718,0.23358901,0.22673504,0.2089148,0.1866067,0.16591287,0.15296002,0.14282058,0.1298991,0.109572984,0.08577225,0.06392325,0.049575686,0.045239463,0.054330442,0.07832608,0.112405024,0.1435941,0.15982969,0.16095681,0.15619431,0.1527914,0.14555715,0.12678884,0.09456378,0.058896467,0.03022053,0.01578334,0.01632102,0.029673228,0.049513172,0.0659037,0.06998194,0.05926004,0.04008752,0.022541234,0.014867955,0.020301374,0.035771158,0.05446888,0.06748641,0.07036855,0.0629596,0.04953854,0.03411983,0.020181863,0.009858804,0.0038434358,0.0013724059,0.00072898186,0.0007183367,0.0014408386,0.0063760723,0.022809228,0.06022964,0.12028249,0.19247854,0.25193653,0.27747104,0.25963178,0.21195155,0.15458782,0.106838085,0.07251253,0.04880378,0.029966144,0.015666042,0.0063673505,0.0021488613,0.0008658292,0.00071927207,0.00071587524,0.00070356793,0.0006730319,0.00064242113,0.0006271343,0.0013227152,0.0052847904,0.019270923,0.052383035,0.1112119,0.18849023,0.26319078,0.3073852,0.30832097,0.27192417,0.21947098,0.16740887,0.12583782,0.09952167,0.093275934,0.107662715,0.13308352,0.155238,0.16123919,0.1525221,0.14015914,0.14014025,0.15685053,0.18370645,0.2061001,0.21687305,0.21660405,0.2131893,0.21318525,0.22140501,0.23911369,0.26154628,0.27797702,0.27364138,0.24301128,0.19597608,0.1600468,0.16202807,0.21036601,0.28595507,0.35505804,0.39256337,0.39253524,0.3664389,0.32525358,0.2756681,0.21806896,0.15670316,0.0988392,0.05319648,0.023658037,0.00849603,0.0028398177,0.0029625893,0.01043247,0.03214151,0.07546594,0.13666,0.19640177,0.2275242,0.2159784,0.17080693,0.11643996,0.07303329,0.047082704,0.036254194,0.038086385,0.050785482,0.06953761,0.08518514,0.0911152,0.08638614,0.076072425,0.06411686,0.052645434,0.04141311,0.030817972,0.0212529,0.0132800145,0.0074216053,0.003756529,0.0019968764,0.001265024,0.000983442,0.0008169305,0.0007339344,0.00070522033,0.0007174625,0.0021817551,0.010351312,0.03488586,0.08390976,0.15260987,0.22047906,0.26198378,0.2689991,0.25628245,0.24757695,0.25080118,0.2540116,0.24437757,0.22690322,0.22002701,0.23387194,0.2579187,0.27404377,0.27210644,0.25860062,0.24388535,0.23575856,0.23284298,0.23081695,0.2225086,0.20301062,0.16882871,0.12392071,0.07676815,0.038847208,0.015188054,0.0046524093,0.0015908912,0.0027174216,0.00834483,0.022432426,0.04832377,0.087023795,0.13234317,0.17478943,0.20239492,0.21049045,0.19887222,0.17349929,0.13984136,0.1058791,0.080171816,0.07030265,0.07853427,0.10022763,0.12714423,0.1506465,0.16585258,0.17250098,0.17425966,0.17327309,0.1674252,0.15151834,0.1278446,0.11005903,0.11669818,0.15406226,0.20667213,0.24810421,0.25824645,0.23913181,0.20792682,0.18539245,0.17781918,0.17626262,0.16338988,0.13142644,0.08681179,0.04541093,0.017832644,0.005904881,0.0057932227,0.016065741,0.035877872,0.06220307,0.08557215,0.099522494,0.10452191,0.11348587,0.13679399,0.17833227,0.22520931,0.259701,0.2619811,0.22664256,0.16340749,0.09589705,0.045857232,0.023705835,0.028487414,0.05264778,0.08748128,0.12268752,0.1518026,0.1711997,0.18054354,0.17642957,0.15894268,0.13588934,0.12359021,0.13071822,0.1480212,0.15461351,0.14012872,0.1170204,0.10929346,0.12909736,0.16639496,0.19914521,0.21479024,0.21397398,0.2067342,0.19441585,0.17710708,0.15400119,0.13766824,0.13771309,0.15807761,0.18663703,0.21227348,0.22771317,0.23524775,0.23512602,0.22725064,0.21198629,0.19561459,0.18526447,0.18216944,0.17854345,0.16391231,0.13332617,0.092854,0.05337329,0.024934093,0.011135335,0.014000565,0.036573987,0.079069525,0.13112451,0.16960984,0.17524879,0.14929359,0.118786305,0.11737823,0.15982962,0.2319714,0.29869488,0.33096543,0.31806242,0.27620158,0.23228244,0.21595334,0.23941422,0.29359564,0.34755495,0.37107134,0.35433468,0.3130293,0.26890245,0.22984849,0.18900214,0.1408654,0.09214902,0.057537716,0.047843095,0.06298999,0.09275939,0.11994455,0.13115144,0.124057986,0.1132167,0.11343243,0.12970816,0.14927584,0.15959989,0.15501964,0.1399269,0.118439645,0.09242173,0.06515057,0.042891204,0.03496882,0.044976298,0.06873595,0.09195107,0.100819774,0.08887886,0.06508925,0.04657081,0.053871203,0.0961102,0.17058784,0.25513795,0.32317373,0.3480678,0.3228053,0.25629246,0.17351568,0.09819927,0.0454886,0.016645454,0.004723938,0.0013311324,0.0008056881,0.00087610516,0.0009174677,0.0009246363,0.0009147721,0.0008984469,0.000874202,0.00084138213,0.00081713684,0.0008231833,0.00085865916,0.00089840754,0.0009117348,0.0008958659,0.0008660843,0.0008465087,0.0008377359,0.00083554816,0.0008339137,0.0008441766,0.0008676182,0.0012630698,0.0047606067,0.019084767,0.056052286,0.123864025,0.21594067,0.31177375,0.3864437,0.42851475,0.43774948,0.4232649,0.39150465,0.35051525,0.30502275,0.2568535,0.20621984,0.15752007,0.126362,0.1268233,0.16313629,0.21794279,0.2678556,0.29414198,0.29524365,0.28011382,0.26010808,0.24157535,0.22416414,0.20607924,0.18507278,0.16146202,0.1336599,0.1022233,0.06885122,0.039587945,0.018540455,0.0071161836,0.0023560075,0.0010588259,0.0008231194,0.00082138187,0.0008223558,0.0010195872,0.0018258084,0.0043962304,0.010525066,0.022666663,0.04215944,0.067026965,0.091700114,0.10849098,0.11396855,0.11062812,0.10704761,0.10982036,0.11733041,0.120706655,0.10960814,0.08431912,0.052410945,0.026086265,0.009869853,0.0032145751,0.0012536675,0.0015050616,0.005642438,0.020194298,0.053776193,0.10583865,0.16427517,0.20689638,0.22216362,0.20996706,0.1821868,0.14478427,0.10359818,0.06277139,0.030894922,0.01151209,0.0034454565,0.0012332536,0.0010033553,0.000986172,0.0011643943,0.0033708296,0.011095412,0.028507305,0.05328692,0.07646819,0.08439696,0.0730769,0.04847428,0.025212104,0.013505357,0.020767152,0.050395284,0.103126645,0.16829985,0.22525613,0.2522541,0.24375735,0.21315269,0.1841412,0.17117576,0.17393826,0.1799828,0.18093105,0.17425342,0.16311453,0.14525788,0.118550174,0.0834842,0.048929915,0.02415401,0.015303686,0.023073426,0.045042563,0.07433435,0.09973837,0.109571695,0.09924858,0.07410238,0.045502827,0.022839746,0.009476109,0.003516326,0.0021250022,0.0042014094,0.011509071,0.02659285,0.050723936,0.08080188,0.10847733,0.124209195,0.124294885,0.11790251,0.118346155,0.13074355,0.14234293,0.13612771,0.106909186,0.067124985,0.035064794,0.022081807,0.031156207,0.05808221,0.09337002,0.1209211,0.12694465,0.10781435,0.07585392,0.05185312,0.058273792,0.10642723,0.18992764,0.28129303,0.34981337,0.38216892,0.3871784,0.38048792,0.36506757,0.34325945,0.3250225,0.32970524,0.35944128,0.3937302,0.40707836,0.38879678,0.34976086,0.30185956,0.25688943,0.22005533,0.19604045,0.18031304,0.16547519,0.14897758,0.13585775,0.13040453,0.12671052,0.11569559,0.09315941,0.065172695,0.039683428,0.021850595,0.011307287,0.00585486,0.0031072649,0.001760186,0.0025575345,0.009329789,0.029350393,0.067175545,0.118422545,0.16743936,0.19664335,0.19768141,0.17519079,0.14445107,0.12320495,0.12731378,0.15684335,0.19423278,0.20953582,0.18685095,0.13351072,0.075319804,0.032423835,0.01051288,0.0030025484,0.0037324168,0.012154795,0.03247874,0.066318154,0.10728637,0.14120512,0.15504128,0.14466362,0.11698415,0.08288328,0.051753145,0.028103227,0.013214216,0.005557899,0.0026179373,0.0017236193,0.0013802947,0.0010643451,0.00079866283,0.0006346361,0.0005646916,0.0005491897,0.00056191924,0.0013169143,0.0049686288,0.016603472,0.04212893,0.085530065,0.14234403,0.19970942,0.23944138,0.24802567,0.22340114,0.17643239,0.12611836,0.08853122,0.06975919,0.06276757,0.05648218,0.044866785,0.032624394,0.03180528,0.053195078,0.09939566,0.15816042,0.20830308,0.22758804,0.2093362,0.16207713,0.106170036,0.05797505,0.02621901,0.010149092,0.007302977,0.017266005,0.04156451,0.07740586,0.11257049,0.13038933,0.12090727,0.08962422,0.05229369,0.023493366,0.007896298,0.002598272,0.0035037498,0.010711823,0.027341174,0.056168858,0.093696676,0.13067673,0.15314075,0.15244612,0.12740178,0.088947274,0.050198298,0.022597857,0.00782732,0.002734301,0.0023827094,0.0057900962,0.015288728,0.033081993,0.057991218,0.08434939,0.10817513,0.12903671,0.1501723,0.16940977,0.17898762,0.17068733,0.14707337,0.12301988,0.11237568,0.117665015,0.1271277,0.13329647,0.13670997,0.1427235,0.14611618,0.13565427,0.10641321,0.068001635,0.03821531,0.03015796,0.046137035,0.07717735,0.10782671,0.12310866,0.118178666,0.10227126,0.09523807,0.11124313,0.14699444,0.1803916,0.18972348,0.17174701,0.1414866,0.11717684,0.10368989,0.09743643,0.09118846,0.08191087,0.06708824,0.047884133,0.02813074,0.013015923,0.004666759,0.0019233449,0.0036753917,0.011761627,0.029900534,0.05860554,0.09116765,0.11458745,0.11792976,0.099464625,0.06861937,0.038103506,0.016779892,0.005739192,0.0019868452,0.0041012075,0.015986271,0.046051513,0.0960102,0.15555127,0.2011318,0.21794337,0.20678,0.18814449,0.17624791,0.17390615,0.16731869,0.14680712,0.11250147,0.078341715,0.059097935,0.0600007,0.07460001,0.09232849,0.108923055,0.12480515,0.13798772,0.14047468,0.12469557,0.09307345,0.056576833,0.027421532,0.010255242,0.0030616217,0.0022863664,0.007901727,0.02514028,0.05824049,0.10647573,0.15783022,0.19795252,0.21478416,0.21069746,0.19476628,0.18024455,0.17136335,0.16859607,0.16754085,0.165888,0.15932138,0.14528473,0.1253285,0.10712751,0.098921604,0.101364456,0.1068457,0.10513908,0.09119048,0.067677975,0.04185614,0.021020746,0.0082381265,0.0034976564,0.005763058,0.016651893,0.037831463,0.0714891,0.11650023,0.17192413,0.228893,0.27370834,0.286124,0.25875935,0.20009334,0.13789888,0.09716367,0.090991765,0.11252898,0.14666001,0.1762899,0.18970984,0.1815709,0.15556878,0.122431815,0.09308398,0.07172904,0.05511452,0.039421853,0.024225948,0.0125675695,0.007414009,0.013596039,0.04085512,0.10136076,0.19683047,0.30455348,0.3812385,0.3886292,0.32209715,0.21499883,0.113084294,0.045349076,0.0131505495,0.0029514746,0.0010556983,0.000986948,0.00096831325,0.00095462793,0.00092310784,0.00087569276,0.00083316886,0.0008144569,0.00081458845,0.0008390769,0.0018511707,0.007499298,0.024320977,0.058706164,0.109775476,0.16823554,0.21746802,0.24478424,0.24399441,0.2243426,0.20189494,0.1961677,0.21093392,0.23896797,0.26306763,0.27395377,0.26453426,0.2346651,0.18696196,0.13561195,0.099252276,0.09216303,0.11640028,0.16338842,0.22086596,0.27242315,0.30101493,0.29392305,0.25332028,0.19592838,0.14261694,0.10502542,0.08089583,0.061722714,0.042093396,0.023839734,0.011841244,0.01029409,0.020929066,0.04410555,0.07751017,0.118149064,0.16275625,0.20943488,0.25424087,0.2885922,0.30356118,0.29458728,0.2719186,0.25199994,0.24817176,0.2537487,0.24839403,0.21547572,0.1577895,0.09732347,0.057495054,0.051336437,0.07388907,0.10995805,0.14351821,0.1711524,0.2003444,0.24018078,0.28820878,0.32985726,0.34593835,0.32165655,0.258047,0.17227304,0.09278813,0.041840747,0.031148663,0.064666264,0.14133574,0.24939747,0.35885692,0.4332355,0.445942,0.39850208,0.3162004,0.2378277,0.19133753,0.18407609,0.19890231,0.214954,0.22064096,0.22189374,0.22869764,0.24379893,0.25894824,0.26245332,0.2492842,0.2231884,0.19680609,0.18414056,0.19311939,0.21443196,0.22700088,0.21212737,0.17331056,0.1347424,0.12550224,0.1576394,0.21884,0.28229037,0.32201567,0.32599708,0.2980375,0.25758898,0.22937024,0.23117232,0.26086923,0.29990554,0.32788607,0.33500373,0.3239931,0.2987372,0.2642604,0.22797464,0.20939605,0.22652681,0.2804301,0.34598204,0.39077735,0.4016534,0.3865269,0.35889924,0.31694317,0.25537777,0.17992532,0.11529333,0.08818951,0.10622465,0.15434982,0.20118152,0.22291835,0.20867814,0.16929965,0.123241305,0.09210654,0.082500935,0.0875792,0.09026965,0.085468404,0.083487235,0.103435956,0.15108834,0.21231644,0.2626241,0.28392768,0.2772213,0.25764555,0.24703296,0.2573974,0.28873107,0.32716367,0.3587601,0.37038276,0.35545793,0.3089336,0.2364526,0.15316527,0.08075783,0.032793578,0.00962107,0.0027751506,0.006063625,0.02065685,0.052286852,0.100971974,0.1610574,0.2233284,0.28786758,0.3548398,0.42002487,0.46705112,0.4844841,0.47393298,0.4469956,0.40997514,0.3611846,0.3037137,0.25795534,0.25060913,0.29397622,0.36931467,0.4425564,0.48709294,0.4989196,0.49024388,0.47297683,0.4535255,0.42838264,0.39275292,0.34580728,0.30083308,0.2812967,0.29744613,0.3340001,0.35008278,0.32070735,0.24679093,0.16039984,0.08727109,0.043766126,0.030094692,0.04788184,0.09405869,0.16215305,0.23527841,0.29506674,0.32444528,0.31907332,0.2886168,0.25601438,0.24056049,0.24543516,0.2585294,0.26709208,0.27140424,0.28077933,0.3063965,0.343905,0.37451366,0.36883256,0.3187214,0.24688935,0.19860606,0.2003063,0.24075444,0.28292134,0.29699263,0.2794313,0.24424316,0.21042924,0.18759273,0.181018,0.18605264,0.20075822,0.21759452,0.23384513,0.23785526,0.2266432,0.20233154,0.18512577,0.18606682,0.20252366,0.20907377,0.18852909,0.1400755,0.08451319,0.040050928,0.01494293,0.004355572,0.0013470094,0.000716079,0.0006395723,0.0020783169,0.010675523,0.037573565,0.09395125,0.17852712,0.2731064,0.3491995,0.3901049,0.3952031,0.37858537,0.3505582,0.32002,0.29116312,0.27010822,0.2583733,0.2546052,0.2530247,0.24691689,0.23023857,0.20164746,0.16603099,0.13524929,0.12467295,0.14464003,0.19171922,0.24408679,0.27631238,0.27157518,0.233956,0.17718828,0.11877933,0.06929788,0.03461242,0.014244433,0.004854793,0.0015726658,0.00079484866,0.0006549231,0.0006112472,0.0012961029,0.0051022586,0.018339908,0.049947232,0.107787766,0.18968087,0.27961048,0.35123718,0.3790289,0.35268855,0.28178245,0.19674881,0.13197358,0.112157054,0.13806446,0.19365962,0.2551069,0.30295885,0.32138106,0.30679932,0.2672538,0.2288125,0.216937,0.24599658,0.30110133,0.34690455,0.34715328,0.29468277,0.21881449,0.16154565,0.14243327,0.14559662,0.14105438,0.11439234,0.0750521,0.041541137,0.02293291,0.016006872,0.013007778,0.009663536,0.0069871,0.008970161,0.022192264,0.050345898,0.09375492,0.14240412,0.18617243,0.211592,0.21582533,0.19801468,0.17379712,0.15977664,0.17384253,0.21016897,0.25124583,0.27368316,0.2758107,0.2677816,0.2639295,0.25989118,0.24455874,0.21192144,0.1749925,0.1525385,0.15258329,0.16743629,0.1818323,0.186261,0.17610852,0.15204419,0.11788752,0.085042536,0.069758266,0.08212971,0.12066364,0.16626789,0.2014194,0.21129416,0.20109017,0.17828865,0.15751697,0.14238872,0.13701509,0.1415067,0.16241819,0.20056862,0.24718666,0.2787116,0.27778593,0.24808097,0.2173857,0.21226239,0.23564498,0.26486984,0.27037248,0.23873998,0.17823102,0.11333847,0.07075937,0.07263427,0.12655625,0.22260857,0.3268183,0.40037522,0.41451737,0.374117,0.30179688,0.22639604,0.15958266,0.105064936,0.060989678,0.02978067,0.011304525,0.003411223,0.0023426425,0.008010652,0.02672609,0.06466844,0.12234542,0.18362091,0.22879668,0.24404128,0.23863201,0.22861946,0.22445826,0.21994328,0.2041809,0.17436218,0.13724545,0.10950222,0.10545153,0.13538967,0.19075847,0.2529163,0.2956099,0.30569723,0.28299585,0.2452774,0.21202682,0.19376038,0.18170775,0.15914635,0.11918342,0.07140488,0.03256577,0.010457255,0.003801579,0.009212127,0.03143353,0.077496625,0.1499299,0.23505385,0.3109829,0.35304022,0.35232627,0.31448272,0.2662253,0.23638482,0.2482167,0.29671133,0.36059067,0.4092935,0.42737845,0.41068995,0.368932,0.31750166,0.27547392,0.2558736,0.2603532,0.28326905,0.31727636,0.35370508,0.3802302,0.3854877,0.36731884,0.33153352,0.2836863,0.22670217,0.16416846,0.105623044,0.05926398,0.029330919,0.012782409,0.005368124,0.0025397441,0.0017279438,0.001429407,0.003948047,0.01573284,0.048471972,0.107053615,0.18521218,0.25853327,0.3037504,0.3046248,0.26786712,0.21294709,0.17171581,0.16581325,0.19932036,0.25071967,0.29506603,0.31478426,0.31004986,0.28271762,0.23754384,0.17782779,0.11803695,0.07445829,0.062647685,0.082308926,0.122454606,0.1629219,0.18944973,0.1946887,0.1841107,0.16983241,0.16713195,0.18310618,0.21084209,0.23403005,0.23860456,0.22420417,0.20173454,0.18382941,0.17568362,0.17474638,0.17891322,0.19114648,0.21430202,0.24238114,0.25904098,0.25376216,0.23146455,0.21106957,0.20416959,0.20573191,0.20031361,0.18125759,0.1593244,0.15112144,0.16254924,0.18244243,0.195531,0.19666445,0.18975146,0.17879082,0.15885289,0.1271582,0.08863563,0.060608152,0.058212414,0.08635012,0.13307835,0.17930466,0.21202295,0.23370743,0.25498536,0.27763948,0.2873942,0.26708284,0.21665615,0.1600661,0.12750308,0.13360967,0.16441023,0.19043078,0.18662912,0.15042351,0.10000066,0.06361188,0.06751923,0.12637043,0.23550199,0.365207,0.47120205,0.5155266,0.48619053,0.3988867,0.28416643,0.17350025,0.08858845,0.039095912,0.024629155,0.040969986,0.08367336,0.14210638,0.19949748,0.23416197,0.23740385,0.21228544,0.17351566,0.13017054,0.08907706,0.052748665,0.025979698,0.010018346,0.003864183,0.0048471396,0.013580661,0.032242086,0.06161222,0.095975004,0.1271187,0.14767985,0.15806998,0.16068093,0.1585178,0.15049575,0.13902543,0.12906258,0.12683605,0.13049538,0.1315586,0.120429695,0.09567281,0.06588205,0.045803834,0.050566327,0.08474568,0.13771409,0.18228836,0.1962384,0.1768405,0.14845617,0.13508622,0.14203338,0.14857596,0.13509844,0.09872371,0.05617154,0.023729535,0.007176555,0.001625081,0.00065397687,0.0016582385,0.007413037,0.025020905,0.061017487,0.11378167,0.17007561,0.21024466,0.221484,0.20344026,0.16730769,0.1250819,0.08614863,0.054148734,0.030754132,0.015229399,0.0064950516,0.0023948837,0.00101859,0.0007039435,0.000668655,0.0006325993,0.000605077,0.0005919188,0.000586716,0.0005813903,0.0007613094,0.003036713,0.012215222,0.03582413,0.077701636,0.13209935,0.1818621,0.20736472,0.19962698,0.1674511,0.13710944,0.13447028,0.1707188,0.22781248,0.27659956,0.29557648,0.29028013,0.2760524,0.26104972,0.23883303,0.20631951,0.17479213,0.16035044,0.1670965,0.18234211,0.19261283,0.1953078,0.19867949,0.20876634,0.22070819,0.22138667,0.20151867,0.16693656,0.13475369,0.119267166,0.1183226,0.11824826,0.10700288,0.08622286,0.06732734,0.06251032,0.07598778,0.10307477,0.13318968,0.1544815,0.15810342,0.1417435,0.10986579,0.0725647,0.039584078,0.017923523,0.008845506,0.0123978965,0.027209252,0.05276824,0.084038876,0.11493691,0.13648957,0.14430483,0.13523002,0.11254596,0.08154859,0.051058244,0.027155215,0.012366726,0.004997531,0.0020433373,0.0011165014,0.000875351,0.0008386024,0.0011152035,0.0029197054,0.009250933,0.02406614,0.049675953,0.08299685,0.11598214,0.13915871,0.1477233,0.14164,0.124364704,0.099049,0.070147805,0.04260691,0.021552565,0.008788693,0.0030307204,0.0017055558,0.0039967336,0.013290507,0.034802955,0.07335443,0.12377056,0.17394595,0.20628755,0.21668957,0.2119807,0.20899808,0.21239428,0.21713649,0.21120755,0.1934504,0.16948815,0.14797133,0.13066922,0.11810321,0.111164,0.11361796,0.12487513,0.13941412,0.14594008,0.13667634,0.110458516,0.07759943,0.0524554,0.048537206,0.07067,0.1146422,0.16810827,0.21545029,0.24287766,0.2435236,0.21808057,0.17439635,0.122940876,0.075268,0.038850017,0.016639337,0.005849683,0.002033211,0.0013516764,0.0030606946,0.009004354,0.022430966,0.044540852,0.07255334,0.09795261,0.1114267,0.10634497,0.08621354,0.06202541,0.049976543,0.05958398,0.090374194,0.13022284,0.16563857,0.18819939,0.19774716,0.19843908,0.19474888,0.19144285,0.19146544,0.19580853,0.20039125,0.20068859,0.1945594,0.18449008,0.17362982,0.16229574,0.14934206,0.13410135,0.1186,0.10354223,0.08831852,0.07077252,0.05125588,0.032160256,0.016944261,0.0072937957,0.0026553108,0.0011107159,0.0008176673,0.0016795177,0.0058056726,0.017996477,0.041671235,0.075959034,0.11216599,0.14080371,0.15596248,0.16075195,0.15972386,0.15594654,0.14758079,0.13326468,0.11361915,0.092313476,0.07419166,0.06267112,0.057425138,0.054136906,0.048596043,0.041034266,0.034781523,0.032135963,0.03054302,0.026609203,0.019150106,0.01097042,0.004843717,0.00212036,0.0036660966,0.011972759,0.030656124,0.059059035,0.091492414,0.11858275,0.13466075,0.13733396,0.12679316,0.10412639,0.07368028,0.043548077,0.021289652,0.011957537,0.017867865,0.041228373,0.08067835,0.12858856,0.17051059,0.19412702,0.19460183,0.17798239,0.1536209,0.13091876,0.114682175,0.10690253,0.10584118,0.108659185,0.11218383,0.115646236,0.117479354,0.11635717,0.10832981,0.0927822,0.07034672,0.046438742,0.025528034,0.012029593,0.0068107857,0.010469067,0.02284502,0.04437171,0.07240188,0.10197569,0.12530679,0.13830127,0.14072113,0.13892622,0.1388276,0.14436261,0.15224518,0.15630297,0.14970659,0.13271819,0.11288031,0.10261873,0.10849909,0.12510784,0.13700499,0.13030402,0.10338378,0.06712522,0.036483474,0.021793248,0.025849478,0.047626723,0.08170715,0.119920015,0.14934951,0.16084373,0.15171175,0.12951341,0.104757465,0.086339585,0.07574246,0.068487935,0.0581276,0.042600587,0.025282709,0.0117357075,0.0047240388,0.004162883,0.008684499,0.017750105,0.030381212,0.04578741,0.06341431,0.08335712,0.104599446,0.12351951,0.13650219,0.14060856,0.13655724,0.12525523,0.11054807,0.096308626,0.08715262,0.08307252,0.080700524,0.074765205,0.06299374,0.04662682,0.02961048,0.015699143,0.0068568587,0.0038256962,0.0073702186,0.020139627,0.042908147,0.074348904,0.10836419,0.13979353,0.163211,0.17554839,0.17397869,0.15859537,0.1333415,0.105541974,0.08311334,0.06998571,0.06366219,0.057930306,0.04793051,0.03555463,0.026620517,0.025796628,0.031409796,0.037705097,0.040928483,0.043324087,0.049603734,0.06062649,0.06975369,0.06966537,0.057558447,0.03908057,0.021804908,0.012598034,0.015390639,0.03252226,0.06344816,0.10132315,0.13581043,0.15571545,0.15723579,0.14095972,0.11316631,0.07980516,0.050336447,0.034413185,0.043286983,0.08077133,0.13960889,0.19848883,0.23502563,0.23805346,0.21490733,0.18236953,0.15450756,0.13546541,0.12146413,0.10717982,0.091526724,0.079230316,0.07739246,0.08804444,0.10445338,0.114212185,0.10832732,0.08712157,0.058898866,0.03322443,0.015472759,0.005912142,0.0019679647,0.0008457823,0.0011632174,0.0034694525,0.010208975,0.023161799,0.041661214,0.06046991,0.07459959,0.08137249,0.08378187,0.08382746,0.08160678,0.073764086,0.060994685,0.049605325,0.049388986,0.06617391,0.09528533,0.12658192,0.14935023,0.16363044,0.17154498,0.17685033,0.17307614,0.15637821,0.12405294,0.08509004,0.048316732,0.022557119,0.008174291,0.002589488,0.0009973618,0.0012970736,0.00398184,0.012356647,0.02901808,0.052215207,0.07375247,0.08470567,0.08344018,0.07946984,0.086259894,0.10991371,0.14380173,0.17212172,0.1802298,0.16192281,0.123254456,0.07789458,0.03984576,0.015940191,0.0049402905,0.0015760957,0.0019830922,0.005849892,0.016871259,0.0393597,0.07663611,0.12352154,0.16724037,0.18882774,0.17871647,0.14132388,0.095032305,0.056903224,0.03631808,0.032969397,0.04283467,0.05955318,0.076405875,0.086539626,0.08593071,0.073672496,0.053710837,0.032146543,0.015407315,0.006626325,0.0070257634,0.017983912,0.041089494,0.075799994,0.115291595,0.1494562,0.16927445,0.17308068,0.1650356,0.150026,0.13105205,0.11033881,0.094262294,0.08832363,0.09302785,0.09880044,0.0955453,0.07846015,0.05355424,0.029427288,0.013132905,0.006791741,0.011985452,0.030831836,0.062122136,0.0999915,0.13576187,0.16833179,0.19972332,0.23204131,0.2579089,0.2723734,0.271047,0.25495914,0.21986775,0.16813095,0.10806204,0.05630614,0.022428095,0.006715011,0.002155693,0.0037298326,0.011375721,0.027319776,0.05173406,0.07882894,0.10040682,0.11062726,0.111253925,0.108764164,0.10760099,0.10677162,0.10138812,0.09158379,0.081564724,0.07739768,0.07823091,0.08051902,0.081050694,0.08161815,0.08478346,0.092076845,0.102176726,0.110981904,0.11190925,0.09954014,0.074967496,0.046544243,0.025666943,0.020638155,0.0342643,0.062378954,0.09483769,0.11820063,0.12310631,0.10853281,0.081821226,0.05271922,0.028805813,0.013116368,0.004972524,0.001803475,0.001840042,0.0062214783,0.018898005,0.042011265,0.07126301,0.09720761,0.11378648,0.12497634,0.13860624,0.15624298,0.16854657,0.16605477,0.14737992,0.120486975,0.09356617,0.070371464,0.050465573,0.03384235,0.022640282,0.019779308,0.0253447,0.036069352,0.047374632,0.05768305,0.06621528,0.07243282,0.07381249,0.074838124,0.08416859,0.110784255,0.14878444,0.18286882,0.19813652,0.19425611,0.17892183,0.1581425,0.13107605,0.09919926,0.07339199,0.06994728,0.097327895,0.14668696,0.1983124,0.23564075,0.25587115,0.26284853,0.25585708,0.22794074,0.17709291,0.115725346,0.06444336,0.0406749,0.049230665,0.08256655,0.12263765,0.1480853,0.14524116,0.11826036,0.08719803,0.074112386,0.086464696,0.11496222,0.14172463,0.15740746,0.16260624,0.1655249,0.16805089,0.16818029,0.16185261,0.15213896,0.14465888,0.14343695,0.14601703,0.14668722,0.1407544,0.12660496,0.10531441,0.07955603,0.053263683,0.030805146,0.015011842,0.006656198,0.005397826,0.011786711,0.026673153,0.04719156,0.06556326,0.07180154,0.062543906,0.04275996,0.022916757,0.010968525,0.010521271,0.021567164,0.039877106,0.05755922,0.0643967,0.057918776,0.044801783,0.039718166,0.05159086,0.07993102,0.11183429,0.13366652,0.13502584,0.11740025,0.08731267,0.055990208,0.029999152,0.013435773,0.0047835177,0.0016641557,0.00082525454,0.0007379556,0.0006998126,0.0006923519,0.0007062711,0.00071937125,0.00071157486,0.00068465405,0.00066452863,0.0013420904,0.0046589086,0.01431301,0.03359019,0.06292189,0.097583674,0.12970255,0.15198834,0.16176601,0.16116594,0.15473579,0.145831,0.13548934,0.12220945,0.10407052,0.08038693,0.055052813,0.03575186,0.03230849,0.048902947,0.0826951,0.12039516,0.14910118,0.15950455,0.15455799,0.13944937,0.11921113,0.093460776,0.06423987,0.036416303,0.016210822,0.005376765,0.001479228,0.00064205733,0.000579076,0.00054668455,0.0015828874,0.006564053,0.020500617,0.046460893,0.082329385,0.11966685,0.14875506,0.16405225,0.16496138,0.15491503,0.13637629,0.112379156,0.08442551,0.056434173,0.03204294,0.01499484,0.006698549,0.0075633316,0.018062765,0.035282645,0.05437346,0.06846156,0.08005025,0.093658626,0.11395917,0.13195013,0.13860662,0.12866841,0.1105691,0.09460402,0.08930708,0.09474063,0.10583971,0.11325876,0.110721976,0.09688923,0.076911725,0.05577825,0.0371309,0.02194718,0.01109505,0.004625144,0.0016951376,0.000792037,0.0006246839,0.0006118287,0.00058925425,0.00056185154,0.0005356048,0.0014329519,0.0052244626,0.014972906,0.030283784,0.04658668,0.054919776,0.05102243,0.036785785,0.020702308,0.008768406,0.003024778,0.0011011962,0.0007763479,0.00071658613,0.0006926329,0.00066256546,0.0016659601,0.0067650974,0.021846628,0.051223535,0.09325063,0.13698648,0.16860098,0.17887253,0.16850936,0.14580491,0.121464334,0.10412232,0.09684972,0.095926076,0.093912445,0.08496644,0.07099889,0.060658857,0.06379244,0.08338362,0.11120921,0.13414656,0.14269896,0.13969284,0.1347922,0.13537484,0.13956971,0.1385107,0.12572466,0.100342356,0.06934552,0.041104984,0.024093837,0.021916786,0.034215733,0.055306297,0.077650584,0.09312189,0.09705938,0.087947704,0.06992027,0.05060784,0.040714312,0.04665062,0.06647748,0.08792097,0.098041475,0.09292447,0.08236831,0.07863659,0.08469683,0.090799004,0.087664425,0.07759668,0.07275323,0.08243058,0.103855036,0.12699056,0.14247547,0.14840905,0.14758265,0.14528851,0.14359397,0.14011744,0.12862396,0.10651628,0.08011215,0.0634371,0.06783826,0.093687214,0.12739144,0.15244691,0.15637664,0.14132525,0.11735713,0.10030406,0.09882688,0.11202702,0.12753065,0.13037224,0.11456433,0.08826124,0.070712775,0.07655651,0.10837505,0.15303819,0.19449054,0.22089076,0.23257035,0.23559321,0.23517925,0.229764,0.21422286,0.18604021,0.14828046,0.10694816,0.06870703,0.03830891,0.019999372,0.015290524,0.024145702,0.043485343,0.069880426,0.09857189,0.12486845,0.14200006,0.14622821,0.1391036,0.12848178,0.1195814,0.109848626,0.09283838,0.06695142,0.039200593,0.017794667,0.0066866404,0.004359529,0.009642775,0.022715947,0.045211744,0.07476557,0.10736445,0.13617234,0.15895869,0.1723591,0.17436723,0.15965755,0.13090672,0.09901145,0.08042904,0.08374104,0.104462504,0.13223062,0.15647511,0.17166369,0.17063232,0.15066417,0.11384166,0.072050355,0.036819883,0.014967069,0.005072716,0.004295369,0.012504518,0.033867106,0.07115721,0.12045344,0.16921227,0.2026975,0.21274976,0.20222354,0.1822894,0.16363363,0.1515279,0.14447784,0.14135508,0.14440532,0.16001767,0.18722446,0.2179305,0.23582394,0.2343071,0.21394573,0.1883776,0.16974787,0.16666651,0.17381258,0.17547981,0.15738781,0.11795211,0.07154728,0.033683848,0.01208676,0.0038473252,0.003991425,0.011151801,0.026757048,0.052536916,0.084488146,0.1166935,0.1411525,0.1556169,0.16052347,0.16123766,0.1630134,0.168584,0.1735126,0.16722141,0.14214449,0.10138658,0.058267996,0.025823727,0.008336164,0.00201611,0.00068112876,0.00066401955,0.0006797344,0.0006474648,0.00058547984,0.00079291966,0.0021929052,0.0066077947,0.016592292,0.034149304,0.05973644,0.0893727,0.11539388,0.12703198,0.11870214,0.092338204,0.059649203,0.03356264,0.02440543,0.035159465,0.06184719,0.09429151,0.11929613,0.12954901,0.12694381,0.12308917,0.12673937,0.13825311,0.1478263,0.14666566,0.13295689,0.11321735,0.095196724,0.083604895,0.077206336,0.071607195,0.061491642,0.046966758,0.03333814,0.029037809,0.03660691,0.050972983,0.061680436,0.061895702,0.051785108,0.037231155,0.023781434,0.013953459,0.0074996515,0.0046578418,0.0074733756,0.0206991,0.047144074,0.08472979,0.12251154,0.14786607,0.15169095,0.13568142,0.10830932,0.08271066,0.07088349,0.08045599,0.10815048,0.1397105,0.15699129,0.1511937,0.12704657,0.09707177,0.07037724,0.050046,0.037364155,0.036596153,0.05194823,0.081528336,0.11421385,0.13637678,0.13964207,0.12592578,0.10265801,0.077366106,0.05390544,0.033982784,0.018626316,0.0085629085,0.0032986666,0.0012893396,0.0007545664,0.0006309707,0.00052842585,0.00045042092,0.0004409342,0.00051727484,0.0006352307,0.00073170103,0.0015185312,0.0050245957,0.015388629,0.0352897,0.06401882,0.09369511,0.115685135,0.12271463,0.11551846,0.09785938,0.07835029,0.06562579,0.06832642,0.08622408,0.11002177,0.12584984,0.12908177,0.12737544,0.13077582,0.13937464,0.14070518,0.12679042,0.10096303,0.07823843,0.066491775,0.06358635,0.059528455,0.04923077,0.0341395,0.01966086,0.009349906,0.0037761133,0.0014321553,0.0007275869,0.0005664238,0.0005405357,0.0010639192,0.003751117,0.012001774,0.029151635,0.056268226,0.08905047,0.11948859,0.1389232,0.14263614,0.1310349,0.10927222,0.085808426,0.06905372,0.06360751,0.066472106,0.07074735,0.07079353,0.06752173,0.06355584,0.059768036,0.052660707,0.040752176,0.02592466,0.013224483,0.005313137,0.0020131795,0.0010892596,0.0010099082,0.0013818102,0.0032374833,0.008307804,0.018198946,0.031961817,0.045943994,0.054742273,0.05536547,0.04808782,0.03638479,0.023924015,0.013568439,0.0065323575,0.00273668,0.001222879,0.00082477817,0.00078238617,0.00075972715,0.00070179254,0.00061656645,0.00070842914,0.0017955074,0.006011075,0.01714754,0.039547775,0.07473091,0.117203616,0.15387303,0.17058225,0.16216098,0.13749216,0.11251525,0.0984571,0.09372786,0.08907407,0.07606103,0.05547831,0.034990713,0.02477566,0.030500105,0.05169499,0.082668066,0.11490786,0.14028986,0.15193212,0.14693372,0.12665614,0.09676143,0.064884685,0.037408736,0.018253146,0.008389468,0.008143115,0.017896796,0.036786024,0.060908813,0.08400013,0.10206599,0.11559216,0.12645711,0.13320066,0.130076,0.11311992,0.08463121,0.053177744,0.027451634,0.011506519,0.0040664873,0.0015146043,0.0008970643,0.000784551,0.00089773134,0.0021437814,0.007088915,0.020045178,0.043834448,0.07680234,0.11180238,0.14113142,0.16053444,0.16859786,0.16441697,0.14721248,0.12261947,0.10089453,0.09212873,0.096139185,0.10390615,0.10380608,0.09007826,0.06643128,0.04261358,0.02981492,0.032522995,0.047471244,0.06498297,0.078445606,0.08862486,0.10233128,0.1224908,0.14150274,0.14605892,0.1275804,0.09228743,0.05627936,0.03770635,0.04552598,0.07690691,0.11864073,0.15281053,0.16611035,0.15366152,0.121822715,0.08181564,0.045818087,0.020666417,0.007348155,0.00248314,0.0029144029,0.008272991,0.020687133,0.04028971,0.06329744,0.08082029,0.08580792,0.0753736,0.055124372,0.032753523,0.01572544,0.0058264546,0.0023131783,0.0035755907,0.011028517,0.026713902,0.051288646,0.07930147,0.10339265,0.11628646,0.11871294,0.11372811,0.10653063,0.09732976,0.0880276,0.080765456,0.07931634,0.08252919,0.08610595,0.08569249,0.08058789,0.07227869,0.061461847,0.0483947,0.034342453,0.022888971,0.017611997,0.01971942,0.02704066,0.035317168,0.040637296,0.040635254,0.035560686,0.028886257,0.027279137,0.03733741,0.0594292,0.08444636,0.09814412,0.09168198,0.06831588,0.0400765,0.018141542,0.006244343,0.0021805486,0.0031696346,0.009657587,0.024205836,0.048206184,0.07888732,0.110020004,0.13326204,0.14174911,0.13135034,0.10488754,0.07039139,0.038980443,0.017303059,0.0075150398,0.008881926,0.022794401,0.050417006,0.08963444,0.13248102,0.16931659,0.19319023,0.2020679,0.19795804,0.18484263,0.16690134,0.14571138,0.1216,0.0970799,0.08112901,0.0824145,0.10243081,0.12834561,0.14453149,0.13935211,0.11538222,0.08133899,0.05011567,0.031013591,0.03054004,0.04919706,0.08085989,0.115910985,0.14496642,0.16600293,0.17811263,0.18166703,0.17236264,0.15179642,0.12370053,0.09619666,0.07308613,0.06009264,0.06425951,0.091125585,0.13517852,0.17569292,0.19083215,0.16934724,0.12336135,0.0746462,0.04602757,0.04563408,0.070791,0.10765103,0.14023308,0.15323786,0.14122114,0.10876008,0.06952862,0.035911556,0.014776262,0.0047645355,0.0015984083,0.00096698524,0.00095998385,0.0009772162,0.0010283183,0.0010962281,0.0011596364,0.001214501,0.0012644975,0.0014657918,0.0029691185,0.008704854,0.023503453,0.05041319,0.087116934,0.12292969,0.14446767,0.14222589,0.11887316,0.08688787,0.06330166,0.058160592,0.07079888,0.089224555,0.10003659,0.09476516,0.0756753,0.050638076,0.028704211,0.013972636,0.006449552,0.0034646394,0.0026694715,0.0025960542,0.0026764993,0.0027154852,0.002660419,0.0025234113,0.0023331488,0.0023994835,0.0036214853,0.008122837,0.018371059,0.035576064,0.056556404,0.07409371,0.07995119,0.071135156,0.051861558,0.03086915,0.0151540795,0.0066885394,0.003443238,0.0025495589,0.0023123098,0.0021895065,0.0021088275,0.0020361256,0.0019252845,0.0017728916,0.0016045423,0.0014637248,0.001369818,0.0013200276,0.0012848374,0.0012468427,0.0012024964,0.0011741355,0.0011761924,0.0012078079,0.001248146,0.0012673326,0.0012415164,0.0011610155,0.0010499588,0.000950251,0.0008960052,0.00088525907,0.0008887862,0.0013215941,0.003683313,0.012220587,0.03258178,0.06867575,0.11435604,0.15347163,0.166395,0.14789604,0.11212909,0.08532331,0.08323078,0.10193763,0.12256358,0.1305056,0.12242501,0.104644895,0.08208663,0.058201686,0.035234015,0.017398259,0.0065865293,0.0020900965,0.0008705617,0.0007559091,0.0007590615,0.0010082639,0.0033727733,0.011492238,0.030638317,0.061979014,0.10269659,0.14327694,0.17511012,0.18785052,0.17697757,0.1426387,0.09630858,0.052360993,0.022221884,0.007014388,0.0018294859,0.0007335749,0.0006618159,0.000681905,0.00072521804,0.000768997,0.00080324855,0.00082164234,0.0008346059,0.00084241555,0.0019020737,0.0072000455,0.02272238,0.052897464,0.0957272,0.14121611,0.17828101,0.20389082,0.22161217,0.23602001,0.24260026,0.23620176,0.21440248,0.18566947,0.15915023,0.14381953,0.14449571,0.16530252,0.20347913,0.24834926,0.28337303,0.2978598,0.28744265,0.25407964,0.20191342,0.14511482,0.106559545,0.10900736,0.15936665,0.24110168,0.32439116,0.37915376,0.39325783,0.3669839,0.31272033,0.2392468,0.16122413,0.0904673,0.040719863,0.013178996,0.0031088956,0.0008451457,0.0029791936,0.011407566,0.03203641,0.06439802,0.0985927,0.116636395,0.10861441,0.07873018,0.044848647,0.023673892,0.025769696,0.0526444,0.09819904,0.1463968,0.17609948,0.17266244,0.13806747,0.08949723,0.04618265,0.018636713,0.005849113,0.0018212837,0.00097315595,0.00081844855,0.00067428034,0.0005677375,0.0005203558,0.00053473096,0.00058850436,0.00064450275,0.0006724626,0.00080431224,0.0023305037,0.009205527,0.02876696,0.06817973,0.12787384,0.19591646,0.25081792,0.27153328,0.25081044,0.20037635,0.14708005,0.116399676,0.11939031,0.14546782,0.17358704,0.18455607,0.1727674,0.14346607,0.107284665,0.07241947,0.043778162,0.022889825,0.0102831265,0.005080433,0.006306836,0.012006663,0.019624354,0.02536741,0.026305422,0.021987222,0.014926395,0.008373188,0.0041615134,0.002207766,0.001506385,0.001251015,0.0010792512,0.00094524334,0.0008475781,0.00079074706,0.00075749407,0.0007480102,0.0007718436,0.0008429582,0.0009480466,0.0015412244,0.004042123,0.011000087,0.02362608,0.039506402,0.052474458,0.05822447,0.058987398,0.06243192,0.07398983,0.091946155,0.11059481,0.12715572,0.1428831,0.15899946,0.17237423,0.17921393,0.1779325,0.17046785,0.15760775,0.13854,0.11276442,0.08309146,0.054756343,0.032129064,0.016797556,0.007827648,0.0033509303,0.0015458306,0.001023051,0.00093747355,0.0009264012,0.00091439974,0.0010900837,0.002154097,0.0057303924,0.013989692,0.028234115,0.04877822,0.07467947,0.106717445,0.14243758,0.17709279,0.19778572,0.19588125,0.16739474,0.12279422,0.07512876,0.03881984,0.021759368,0.029894901,0.06680972,0.12948452,0.20663647,0.27609012,0.3203669,0.33010396,0.31637624,0.29563162,0.28458485,0.2829714,0.2826488,0.27379498,0.2570794,0.23678447,0.21545692,0.18998253,0.15874727,0.12477041,0.0947315,0.07292817,0.05917489,0.050090183,0.04223117,0.03404456,0.026255725,0.021612847,0.022715738,0.030182319,0.040926617,0.050539523,0.055759203,0.05703312,0.05665736,0.056662414,0.05693986,0.05667865,0.05559926,0.0546073,0.054303925,0.054753076,0.05547413,0.056505308,0.05764559,0.0582698,0.057268713,0.054468084,0.050800547,0.047535837,0.044746507,0.041161347,0.03537726,0.027236745,0.018293975,0.010954738,0.008033528,0.0126772905,0.028267726,0.056277454,0.09413185,0.1338054,0.16499904,0.17752194,0.16698413,0.13528296,0.0936202,0.05600193,0.03515506,0.033241525,0.043207556,0.051906366,0.05058639,0.039247293,0.026181765,0.021225944,0.028893963,0.04756729,0.070565976,0.092300944,0.1076537,0.11377588,0.1071992,0.08819779,0.061233994,0.034851864,0.015824864,0.006995622,0.008866872,0.023006916,0.050504047,0.08694222,0.121879674,0.1441987,0.15241359,0.15157813,0.14944163,0.14458454,0.1342435,0.11491722,0.09075841,0.06546535,0.043278847,0.02524847,0.012626567,0.005183391,0.0018895091,0.00085214415,0.00065731903,0.0006469389,0.0006808716,0.0007449467,0.0008133925,0.0016933884,0.0058879717,0.018676262,0.044722777,0.08405105,0.12696885,0.15878911,0.16738768,0.15237117,0.12328893,0.09260243,0.068594456,0.05400166,0.048549723,0.04894678,0.050422996,0.048680916,0.045428235,0.04795784,0.06607095,0.10409152,0.15659378,0.20750456,0.23777951,0.23557037,0.20290883,0.1521686,0.09904083,0.054872498,0.025697157,0.010586671,0.006198013,0.0094201835,0.022391321,0.049012616,0.0902955,0.13841437,0.17962976,0.2013375,0.19935238,0.178649,0.1474034,0.112844616,0.07870255,0.049214225,0.028946444,0.023091147,0.03215969,0.05103745,0.07087109,0.08680576,0.101587206,0.120930225,0.14532854,0.1669215,0.17783003,0.17639166,0.16891219,0.16068803,0.15183945,0.13701615,0.11237093,0.08020585,0.048494186,0.026930332,0.022059558,0.03580266,0.0632879,0.093754284,0.1129657,0.11197683,0.091241874,0.062295604,0.039034974,0.032950655,0.046159405,0.07361,0.10459813,0.13049746,0.14719002,0.1547428,0.15235959,0.137426,0.109394014,0.07382973,0.041221436,0.020853564,0.016382461,0.024418825,0.03801547,0.050179806,0.060434777,0.072577864,0.09073465,0.108882345,0.1162112,0.10486242,0.08205114,0.06397738,0.063480385,0.08080889,0.104922086,0.12832417,0.14798653,0.16713311,0.18173672,0.1873551,0.1798324,0.16358055,0.14293118,0.11977004,0.0923134,0.06213883,0.035182193,0.019547382,0.021290397,0.042164426,0.07696196,0.11161593,0.12898563,0.119146176,0.08791897,0.050999213,0.022913108,0.0090581,0.009369638,0.02384492,0.051229607,0.08369988,0.1057039,0.10548826,0.08557755,0.06404517,0.060232844,0.08241416,0.122546285,0.1655762,0.19737732,0.21376646,0.21665712,0.21182914,0.20097448,0.18482582,0.16383578,0.14271696,0.12465513,0.10976096,0.09238648,0.070488214,0.048108533,0.038041964,0.050118286,0.08433822,0.12441049,0.15064962,0.15496846,0.15402965,0.17219454,0.21937197,0.27411118,0.3027614,0.28382614,0.22439064,0.15206891,0.09682978,0.07756272,0.09293214,0.12852365,0.16370392,0.18627246,0.18996187,0.17580377,0.14498003,0.1048716,0.06430035,0.033045188,0.013878692,0.0050398316,0.0017985968,0.0009753671,0.0009194852,0.0020119234,0.0079234475,0.026710449,0.0694692,0.13979651,0.22720172,0.30407074,0.3463565,0.3458295,0.32089317,0.29333773,0.2763243,0.2618213,0.24086617,0.21294798,0.19514348,0.20179302,0.23388529,0.2697713,0.2865198,0.27234054,0.23735148,0.19774306,0.16692843,0.14677413,0.13512878,0.12802269,0.1254686,0.12463493,0.1212702,0.10698578,0.08119182,0.0496061,0.024202606,0.01281162,0.020631718,0.049975008,0.09817358,0.1533387,0.19471371,0.20724583,0.19078355,0.16354066,0.14604212,0.14800875,0.16073328,0.16757941,0.15813114,0.13882828,0.12709248,0.13853844,0.17211695,0.21010567,0.22771676,0.21127307,0.16830282,0.12342897,0.10273484,0.11505637,0.14889807,0.18035014,0.19377548,0.1887749,0.1773832,0.166112,0.15194823,0.12671314,0.09094688,0.053466294,0.025086457,0.010538138,0.009379285,0.019451972,0.03598672,0.051707733,0.057118803,0.049481515,0.033621356,0.021266855,0.021893142,0.03960663,0.07162774,0.11051148,0.14648099,0.16932036,0.17151861,0.15215346,0.11910758,0.08670243,0.06758584,0.06591422,0.076825835,0.09049579,0.09899189,0.09704211,0.084768824,0.064503245,0.042261448,0.022908986,0.010121451,0.003484452,0.0011570557,0.00062755577,0.00064825837,0.0006946777,0.0007279795,0.0017787833,0.0073334165,0.024069369,0.05741502,0.105256975,0.15431084,0.18652146,0.18973458,0.1646611,0.12323948,0.08156651,0.053904716,0.04655044,0.056135386,0.07133018,0.08364732,0.0940758,0.110929035,0.13526917,0.15459943,0.15212284,0.12646924,0.097393215,0.09153623,0.12070914,0.17291515,0.2231787,0.24916272,0.24455582,0.21564436,0.17802675,0.1444507,0.1243248,0.117119014,0.118362665,0.11888617,0.1133396,0.099384345,0.08084865,0.061936256,0.04596625,0.032657426,0.021313345,0.011926924,0.00556122,0.0043692384,0.011850815,0.033810336,0.0706254,0.11493981,0.14924224,0.16197081,0.15075749,0.12716815,0.10182721,0.08285129,0.07076186,0.06358393,0.056827635,0.04691038,0.033614833,0.0197834,0.0096539175,0.005583329,0.009356338,0.022034062,0.044305965,0.07269052,0.10025937,0.117835194,0.12080466,0.10974899,0.090753354,0.06929143,0.049253523,0.03184351,0.01813638,0.008733834,0.00357111,0.0017467476,0.0032003976,0.0097468225,0.023797631,0.043688565,0.06220445,0.06935635,0.06120676,0.042253584,0.022583963,0.009041677,0.0028442957,0.0010013648,0.0009816698,0.002258908,0.0069220937,0.017982168,0.03736126,0.06145518,0.08151635,0.08719643,0.07581606,0.05470753,0.038246714,0.037339,0.05320294,0.07628254,0.09314086,0.095459275,0.08585774,0.075821996,0.07583406,0.0874702,0.10189403,0.10829241,0.10074643,0.08180552,0.058672193,0.03958622,0.030757837,0.033760343,0.045001224,0.0567371,0.06443143,0.070024274,0.080337934,0.09799084,0.117423624,0.12847017,0.12423664,0.10559753,0.080908425,0.06279402,0.062496383,0.0814325,0.1077975,0.12237177,0.11335746,0.08431864,0.05183654,0.033027116,0.037415866,0.06122264,0.090460874,0.10643942,0.09919137,0.07248386,0.04107072,0.017420297,0.0054502995,0.0014832984,0.0008015109,0.00079388794,0.0008124735,0.0008547513,0.00091341074,0.0009689668,0.0010019519,0.0010499867,0.0018948661,0.0059731454,0.017791046,0.04093522,0.073662706,0.106408,0.12628062,0.12533574,0.10541099,0.07611407,0.047475215,0.026269844,0.015236123,0.016257895,0.02981511,0.053716224,0.08095803,0.10195387,0.10939372,0.10261496,0.08864895,0.076913394,0.07352516,0.07637351,0.07968951,0.07894208,0.0755196,0.07262205,0.072588325,0.07528726,0.07958469,0.08280305,0.08075463,0.070333816,0.05265304,0.03309237,0.018187879,0.012704461,0.019213798,0.036557727,0.06023115,0.083419055,0.10440939,0.12952514,0.16846724,0.22309047,0.27780488,0.31345305,0.31826606,0.30701983,0.29569617,0.2964486,0.29712287,0.29337832,0.2862264,0.29124406,0.30988643,0.33537355,0.35138753,0.3478128,0.31584316,0.25592566,0.17785072,0.10444953,0.05752651,0.048596043,0.07174691,0.10938398,0.13895196,0.14491063,0.12477941,0.08970498,0.05424853,0.028198125,0.01309735,0.005946234,0.0030394355,0.0019527039,0.0015481901,0.0022241746,0.0066880467,0.019781016,0.045765385,0.08350312,0.12624033,0.16242488,0.18422091,0.18868536,0.18353693,0.17856243]