[0.2165232,0.2300721,0.24914129,0.2618272,0.2716169,0.29602414,0.33346155,0.36447385,0.36492813,0.33167025,0.2800602,0.23039933,0.19274807,0.16950805,0.16525835,0.1898436,0.24267161,0.30203542,0.33211362,0.3135099,0.25689,0.19453377,0.15147667,0.13236302,0.12626354,0.121869095,0.1178351,0.120284915,0.13615052,0.16339584,0.19121702,0.208449,0.21143581,0.20765156,0.20221557,0.19815652,0.18964815,0.1763354,0.15663089,0.13697724,0.12394068,0.12951255,0.15989989,0.21176545,0.2673046,0.30379835,0.3079799,0.28616378,0.25876114,0.24324626,0.24176508,0.24581523,0.2472841,0.24592389,0.24235296,0.23529337,0.22176486,0.20561838,0.19463189,0.19299704,0.19249576,0.17896296,0.14514692,0.09881147,0.05689548,0.034757692,0.042278234,0.08296663,0.15380569,0.24005012,0.32061738,0.37538695,0.39683774,0.3875098,0.35766494,0.31680998,0.274204,0.23590446,0.20882307,0.19781177,0.20512079,0.22583349,0.25242528,0.27867433,0.3010625,0.31248787,0.30201986,0.26197204,0.19905744,0.13073255,0.07551589,0.04002827,0.021578163,0.012707016,0.008654348,0.00678073,0.006060003,0.0070768143,0.014091748,0.036998603,0.0853824,0.16046782,0.2457995,0.31413567,0.3408599,0.3218245,0.27334878,0.22038484,0.18008113,0.15756018,0.1549067,0.17592353,0.2214802,0.27685454,0.31440982,0.31032383,0.26246113,0.19227116,0.12879878,0.09200188,0.08316144,0.09135867,0.10420982,0.11913699,0.13923462,0.16469465,0.18523997,0.18964835,0.17726798,0.15837884,0.14350945,0.13404216,0.12999327,0.1335318,0.14916593,0.17428197,0.20394643,0.23501043,0.2683076,0.30013075,0.3209534,0.31899086,0.29009134,0.24137616,0.19276564,0.16625921,0.17138015,0.19539388,0.21346177,0.21062048,0.19165224,0.17341554,0.16710234,0.17309056,0.18249331,0.18616377,0.1785809,0.16347592,0.14780402,0.13675927,0.1287642,0.12519552,0.13467468,0.16726899,0.22122781,0.27942276,0.3237846,0.34430882,0.34349117,0.32583413,0.3006728,0.2772461,0.26725015,0.27042958,0.27816978,0.2741327,0.25304273,0.22312827,0.2030705,0.20860445,0.23924978,0.28077838,0.3076791,0.30212826,0.25925323,0.19291411,0.1235575,0.06820739,0.033183504,0.017418442,0.019942993,0.046041477,0.10134939,0.18367809,0.27230915,0.3401413,0.36552513,0.35211277,0.32016543,0.2966403,0.29150558,0.29951033,0.30563617,0.30354914,0.2931564,0.27601478,0.24801485,0.20830853,0.16639133,0.13887067,0.13364755,0.14062329,0.13886534,0.1168443,0.080665834,0.05006866,0.041775,0.06448267,0.1153933,0.1830833,0.24807985,0.29005048,0.2978817,0.27520314,0.24031526,0.21501158,0.21382724,0.23316361,0.25559774,0.26152807,0.24470651,0.2139023,0.18319346,0.15859503,0.13501766,0.105956614,0.071768135,0.042330425,0.029107725,0.042947393,0.08736656,0.1551838,0.22361048,0.26781228,0.28036627,0.27981558,0.29434505,0.3324472,0.3783257,0.4042556,0.3977417,0.35984862,0.30233178,0.23531008,0.17301466,0.12906717,0.110071935,0.10806951,0.104972206,0.090101235,0.06824632,0.059556354,0.08113905,0.13443536,0.20015037,0.25015286,0.26828992,0.25946245,0.24485527,0.23761801,0.23534735,0.22359146,0.19744809,0.164929,0.14225602,0.13799949,0.14961469,0.16687322,0.18184102,0.19482201,0.21134281,0.23345928,0.2544291,0.26442683,0.2621467,0.2545325,0.24993078,0.24462359,0.23252809,0.20825641,0.1789946,0.15029652,0.1288452,0.11755315,0.124218024,0.1539513,0.2022926,0.25176826,0.28280795,0.28961268,0.28211248,0.27327397,0.26212588,0.23779207,0.19394016,0.14343782,0.10894487,0.107690595,0.13898264,0.18900234,0.24060561,0.27985463,0.29773498,0.29056728,0.26412126,0.23327686,0.21333955,0.20720498,0.2015047,0.17981595,0.13782294,0.0888946,0.05245841,0.04326177,0.06445158,0.109406434,0.16220808,0.20337139,0.21813701,0.20580268,0.17954056,0.15411729,0.13495786,0.11529568,0.08929782,0.058244273,0.03221019,0.020670244,0.03414372,0.08179268,0.16811752,0.2753384,0.3662574,0.40063038,0.3700165,0.29870328,0.22671236,0.17743148,0.15372185,0.14556818,0.14330445,0.14130034,0.13870926,0.13694446,0.13763636,0.1389991,0.1432181,0.1549589,0.18285435,0.22434951,0.2680274,0.2951295,0.29548123,0.2714624,0.23853892,0.2145998,0.20967709,0.22092248,0.23898852,0.2575531,0.27676153,0.29747128,0.31585285,0.3263316,0.32568762,0.313961,0.2890903,0.24789284,0.19155656,0.12934141,0.074750185,0.03645211,0.0154506415,0.0065888516,0.0042070663,0.004832974,0.010980015,0.032172553,0.08329242,0.17079695,0.2838725,0.38993517,0.45820418,0.47280654,0.4506469,0.4176217,0.40188828,0.40373528,0.413774,0.40916076,0.3865945,0.35075358,0.32146046,0.30700442,0.30716386,0.30939075,0.30469164,0.29055738,0.26973602,0.24521212,0.21868162,0.19853497,0.19625746,0.22201264,0.26772305,0.31331336,0.3340567,0.32228926,0.28583005,0.24191791,0.20022303,0.16033176,0.11849251,0.077192836,0.048291247,0.048165213,0.0898997,0.17393036,0.27815446,0.3663206,0.4075227,0.40096667,0.36843655,0.33579382,0.31350672,0.30229673,0.2977056,0.2944961,0.2855986,0.26908287,0.24800973,0.22882079,0.21521235,0.21082002,0.21569769,0.22519064,0.22918694,0.22266662,0.21243204,0.21305512,0.23369938,0.26710477,0.2952608,0.30063125,0.2814437,0.25068298,0.23120743,0.23936403,0.2762026,0.32599175,0.36658132,0.38732085,0.38972875,0.3856109,0.37597713,0.35546935,0.3149812,0.2594563,0.2053935,0.17166562,0.17058516,0.20119964,0.25432196,0.3066078,0.331313,0.3069925,0.23832606,0.15094952,0.07861033,0.041183144,0.04361567,0.07698918,0.12647146,0.17243558,0.2007892,0.20605862,0.1942664,0.17526446,0.16195263,0.16212206,0.17565525,0.19118786,0.19890904,0.20122337,0.21131684,0.23976035,0.2800804,0.31781754,0.33824596,0.34122217,0.33115545,0.31671277,0.2988794,0.2774178,0.25138202,0.22811727,0.21868348,0.23200469,0.2649351,0.3017238,0.32093477,0.30921328,0.27606085,0.24593048,0.24243051,0.261575,0.28361836,0.28712523,0.27162573,0.24856012,0.23001264,0.22147347,0.22100334,0.22658087,0.23062402,0.2265834,0.2086515,0.18089195,0.1510639,0.12536368,0.10225284,0.07819299,0.052747507,0.030519566,0.015545435,0.008520855,0.006950473,0.009610332,0.019063862,0.040687796,0.07743317,0.12496632,0.17444606,0.21894543,0.25915477,0.2976693,0.33334875,0.35851708,0.36517552,0.3525207,0.3269767,0.29959676,0.27401665,0.24908258,0.21906577,0.18664634,0.1571117,0.13864948,0.13446343,0.14807402,0.17941229,0.22459646,0.27201113,0.3084854,0.32126108,0.3043855,0.25898397,0.20043093,0.15114251,0.12989035,0.13674839,0.15687315,0.17743397,0.197511,0.22458597,0.2551544,0.27735266,0.27738085,0.25696066,0.22517036,0.19571008,0.18035085,0.19076025,0.23040752,0.2859923,0.3322371,0.3463974,0.32575893,0.2870138,0.25468662,0.24264885,0.24444664,0.2397963,0.21173234,0.16482247,0.12356338,0.11582913,0.14878862,0.20091392,0.2357101,0.22736359,0.17836754,0.11288007,0.05735503,0.023641696,0.009000522,0.004681524,0.005360411,0.012212592,0.031665437,0.06789276,0.11625788,0.16330256,0.1966481,0.21437229,0.2234251,0.23342906,0.2519468,0.28382984,0.326756,0.3653367,0.37963042,0.35958222,0.31822255,0.2782413,0.25474477,0.24406666,0.23572601,0.22489427,0.21819353,0.22381042,0.24476175,0.27086702,0.2875652,0.28210154,0.2588696,0.23400694,0.22693245,0.24177243,0.26521352,0.27577052,0.26395932,0.24398287,0.24369578,0.2799713,0.33870712,0.38502488,0.38983032,0.35561392,0.3098556,0.28367037,0.28384602,0.29506066,0.2944331,0.27687815,0.25364134,0.23835222,0.22801559,0.2070024,0.16501206,0.10908369,0.0585307,0.030105846,0.034658313,0.08001622,0.16951142,0.28872007,0.39900672,0.455012,0.43533328,0.3583589,0.2638431,0.1852483,0.13741547,0.12778682,0.15870954,0.2213378,0.28745213,0.33132783,0.34574577,0.34888336,0.35763237,0.37918064,0.40709448,0.43470266,0.45330465,0.45280537,0.42553362,0.37265405,0.3085849,0.25143138,0.21440749,0.19724733,0.19042301,0.18404438,0.17663254,0.17394888,0.17955051,0.18928386,0.19716895,0.20610444,0.22319265,0.24766539,0.264697,0.2640967,0.25073805,0.24146493,0.24022697,0.23807214,0.22081494,0.18895207,0.15139481,0.120233215,0.10114291,0.094273664,0.09455332,0.09258007,0.08151456,0.06052077,0.036920294,0.0181892,0.007844114,0.0039321496,0.004300445,0.009764346,0.02477366,0.052015137,0.08810183,0.12409648,0.15182878,0.17097473,0.18521494,0.19916558,0.20982409,0.21412711,0.20880394,0.19981973,0.1947735,0.20049973,0.21166773,0.21611482,0.20380397,0.18014038,0.16066234,0.15832287,0.17090808,0.18669611,0.19380343,0.18909506,0.17602257,0.16263324,0.15719904,0.16482817,0.18250011,0.19899696,0.20203225,0.18758138,0.16172417,0.1334796,0.106277585,0.079467796,0.05265877,0.029785933,0.0141005,0.0062627182,0.0039597335,0.007464264,0.023360023,0.06405437,0.13831897,0.23713382,0.3290442,0.3760935,0.36063316,0.298008,0.22156848,0.15859048,0.119045414,0.10303834,0.107257664,0.12703617,0.15500575,0.18670289,0.22015567,0.2514105,0.2689692,0.2614381,0.23079081,0.19658218,0.1820255,0.1938331,0.21611041,0.2253965,0.21128358,0.18390192,0.16116162,0.15295494,0.15565695,0.1630492,0.17477296,0.19683583,0.23022318,0.26709235,0.2928571,0.29802683,0.2843359,0.26576796,0.25716642,0.26280987,0.27161217,0.26792365,0.24524654,0.21116318,0.17959581,0.15793741,0.14496793,0.13389477,0.12407202,0.1210528,0.13496846,0.16838475,0.21225893,0.24799968,0.26024202,0.24865769,0.2258536,0.20607013,0.18999363,0.16931035,0.13570613,0.09367595,0.053861573,0.026202187,0.013146304,0.015662948,0.038603235,0.08703057,0.15612103,0.22347356,0.26278472,0.26319817,0.2392335,0.21673834,0.21176177,0.22575004,0.2502481,0.2759222,0.29058698,0.28472814,0.25711915,0.21640484,0.17271797,0.13137594,0.09872187,0.08774405,0.11586219,0.1886322,0.29114512,0.38689193,0.43689463,0.41743872,0.33618522,0.22582448,0.12664841,0.06660019,0.052605275,0.07607987,0.12040446,0.1736406,0.2283973,0.28177306,0.3204547,0.32713667,0.28809264,0.21379425,0.12990591,0.06448854,0.030438134,0.028849274,0.054608475,0.09865763,0.14945118,0.19401534,0.22644208,0.24274689,0.24325852,0.2302677,0.21731234,0.21854298,0.23730056,0.25730956,0.2591847,0.2388287,0.21215697,0.19670005,0.19437765,0.18904217,0.16499127,0.121882945,0.077138804,0.0507675,0.05221075,0.07830924,0.12049206,0.17104971,0.22052656,0.2548271,0.2603265,0.23458391,0.19210011,0.15241086,0.12634495,0.10862177,0.08960392,0.06478358,0.039378863,0.019978518,0.012347828,0.020642258,0.052218553,0.10808917,0.17915423,0.23993234,0.2717314,0.27022186,0.2565353,0.24993545,0.26033413,0.27646324,0.28587523,0.2799329,0.26407155,0.24579422,0.23353678,0.22840889,0.23279929,0.24527304,0.26278615,0.27743253,0.28544798,0.28955233,0.29239276,0.29016483,0.27207348,0.23298703,0.17687786,0.11690792,0.0655371,0.030466156,0.011477441,0.005265118,0.011567414,0.038000543,0.096006595,0.18699777,0.2940906,0.38162747,0.4194447,0.3963243,0.3334438,0.2610853,0.20760071,0.18131112,0.18191803,0.20215829,0.23307554,0.26163772,0.27389538,0.26507762,0.24197339,0.22194862,0.21717952,0.22710235,0.23779388,0.23570143,0.21929972,0.1983165,0.18593091,0.1864727,0.19734998,0.21054518,0.22355992,0.23735976,0.2557856,0.27648616,0.29262403,0.29614604,0.28465006,0.260922,0.23132312,0.20212132,0.17904852,0.16526528,0.16071291,0.16073541,0.15684299,0.14123957,0.11184316,0.075347714,0.041933224,0.019066922,0.0073676873,0.0032908015,0.0026915336,0.00317812,0.0041273846,0.006854623,0.014517653,0.032059755,0.06177197,0.10202547,0.14407952,0.1820168,0.2133369,0.24409437,0.2749077,0.30104968,0.31105873,0.29932812,0.26909378,0.23091368,0.19711536,0.17683643,0.17551751,0.19325225,0.22320652,0.2527087,0.26665306,0.25952798,0.23732011,0.21577245,0.20451874,0.20129688,0.19565095,0.18093425,0.16277568,0.15190957,0.15654592,0.17446442,0.19667512,0.2135672,0.2209112,0.22381538,0.22967313,0.24175505,0.2509382,0.24592672,0.22276813,0.19489612,0.17945977,0.18380962,0.19446255,0.19136329,0.1630251,0.11701453,0.07128635,0.043779407,0.045404594,0.07785275,0.13329165,0.19470531,0.24487841,0.2749211,0.28776714,0.2897143,0.28360847,0.2691327,0.24968909,0.2313988,0.21839571,0.21052873,0.20925145,0.21945907,0.24054374,0.26010072,0.25785974,0.22370762,0.16497095,0.10230843,0.05338271,0.024755806,0.0135278115,0.016838158,0.03819161,0.08222846,0.14510272,0.20632513,0.24047142,0.23398317,0.20062715,0.1688584,0.1619311,0.17758806,0.19873464,0.20704438,0.20212056,0.18961246,0.17869301,0.16858079,0.1617618,0.15794243,0.15920381,0.16163586,0.16294302,0.16294515,0.1623228,0.15913312,0.149512,0.1361668,0.12871121,0.13716428,0.16058742,0.18369125,0.18794863,0.16500229,0.12557743,0.08990043,0.07413709,0.08220544,0.110409774,0.1535842,0.2042458,0.2489448,0.27258274,0.26898506,0.24521352,0.21670924,0.19331717,0.17847873,0.16736005,0.15888159,0.15308505,0.15391685,0.16219401,0.17654264,0.19298166,0.2045148,0.2040881,0.1875261,0.15919726,0.12786916,0.101344615,0.08278748,0.07401959,0.07738012,0.09337959,0.11590699,0.13532221,0.1421362,0.13425386,0.11292619,0.084558964,0.054975595,0.031604376,0.018835321,0.020772103,0.04223823,0.08706122,0.1548745,0.2326944,0.30238596,0.3429182,0.34700468,0.3183092,0.2775238,0.24591798,0.24048562,0.25898454,0.28870842,0.31160057,0.31829622,0.30626437,0.27846286,0.23877294,0.19223368,0.147447,0.113314964,0.09718736,0.09697467,0.10560963,0.11387234,0.12151039,0.1328782,0.15181251,0.17144684,0.18044977,0.17256932,0.15380763,0.1369332,0.13099545,0.13675168,0.14771004,0.15597373,0.15675096,0.14995547,0.13912858,0.12656774,0.11316955,0.10038089,0.09212337,0.09325689,0.103604406,0.11947914,0.134251,0.1456763,0.15597284,0.17112851,0.19322465,0.21441734,0.22067231,0.2019816,0.1630017,0.12084482,0.093485795,0.09050024,0.106535055,0.12951587,0.14432992,0.14702259,0.1432771,0.14685816,0.16341074,0.18550666,0.19608419,0.18299086,0.14736778,0.10187781,0.061482053,0.036867622,0.032884683,0.050261755,0.08745179,0.13938713,0.1977011,0.24685217,0.27065456,0.25885823,0.2214309,0.18044591,0.15625598,0.14926279,0.14827959,0.14295922,0.13322492,0.12168259,0.1107322,0.10166156,0.09791219,0.10001335,0.10672545,0.115750015,0.12682982,0.1363401,0.13668118,0.12097215,0.09123727,0.057847474,0.031712838,0.016945342,0.011632408,0.012906216,0.020706322,0.035782587,0.056847204,0.079537116,0.0994645,0.11321762,0.118787386,0.115269266,0.105761915,0.0971561,0.09523515,0.09952713,0.1029014,0.0995652,0.09030061,0.083797835,0.08880437,0.106834136,0.12901898,0.14195085,0.1375901,0.118915714,0.09801117,0.08915434,0.1022104,0.13989504,0.19326968,0.24495955,0.27162543,0.26049024,0.2133499,0.15189879,0.10107502,0.08046382,0.090051316,0.11666582,0.13985892,0.1490932,0.14546202,0.14042331,0.14151756,0.14809924,0.15208268,0.147618,0.13661472,0.1269625,0.12573113,0.131904,0.13844495,0.1395766,0.1387064,0.14416164,0.15964144,0.17729746,0.18517017,0.17718308,0.15981482,0.14439988,0.13860512,0.13834266,0.13358273,0.11598209,0.087527595,0.056873947,0.033025954,0.018853186,0.012368749,0.009920321,0.009037578,0.009917699,0.015783757,0.03326873,0.06565795,0.10980135,0.15289967,0.18638317,0.2080841,0.22583844,0.24059568,0.24902423,0.24484865,0.23233218,0.22128733,0.219289,0.22442026,0.22844945,0.22548188,0.21370085,0.19424133,0.1686541,0.14149962,0.12271131,0.12299296,0.14871679,0.19365054,0.24528782,0.28699765,0.3089784,0.30438012,0.27476996,0.22788234,0.18106355,0.15163875,0.14841758,0.16600344,0.19113167,0.21073008,0.21693502,0.20712645,0.1845702,0.1573491,0.13359363,0.11499873,0.09676212,0.07438196,0.049459185,0.027925523,0.01399701,0.008363635,0.011801901,0.030674433,0.07332907,0.14096363,0.21602397,0.27004603,0.2805957,0.2510583,0.20330226,0.16150941,0.1355685,0.12497693,0.12561245,0.13432254,0.14818065,0.16241486,0.1730492,0.17456068,0.16589765,0.14776699,0.12785837,0.112039804,0.10668948,0.11325467,0.13493495,0.17041953,0.21520229,0.25510943,0.2771938,0.272487,0.24583559,0.20658934,0.16815239,0.13835667,0.12373006,0.12371103,0.13407233,0.14460933,0.14762233,0.14012004,0.12657498,0.1141884,0.11045603,0.12035039,0.14297056,0.17033209,0.19016044,0.1960944,0.19128983,0.18342447,0.17362349,0.15532653,0.12371755,0.08346995,0.046526145,0.021522904,0.009516447,0.00744899,0.015207362,0.038430925,0.08155961,0.14285056,0.20894825,0.26462692,0.2961848,0.30008724,0.27934676,0.24570863,0.21414585,0.1963181,0.1937521,0.1972373,0.19678657,0.1870317,0.16946392,0.14812441,0.1304939,0.12632251,0.14176102,0.17078055,0.19608498,0.20160754,0.18491848,0.15740784,0.13433127,0.12505472,0.13151808,0.15126812,0.1807255,0.21468703,0.24477208,0.26162228,0.25777236,0.23395367,0.19768894,0.16413355,0.14589177,0.14729704,0.15690912,0.15870824,0.14411752,0.12235967,0.10935494,0.11516491,0.13315435,0.14826465,0.14630918,0.12523784,0.09253701,0.060069412,0.035301443,0.020018974,0.011906345,0.008194965,0.007931784,0.012292035,0.025387293,0.04983194,0.08594658,0.12667705,0.16412129,0.19065827,0.20658523,0.21513641,0.21992432,0.22015227,0.21372674,0.2010731,0.18579805,0.17256849,0.16618438,0.17009324,0.18427259,0.19961412,0.20302784,0.18526287,0.1517729,0.11741019,0.09860646,0.10180664,0.12487171,0.15860015,0.19393747,0.223309,0.2433757,0.25301138,0.25223005,0.24087556,0.21965839,0.19118911,0.16104221,0.13692684,0.12784044,0.13863634,0.16693288,0.20104569,0.22638357,0.23083287,0.21054131,0.171584,0.13012567,0.10529431,0.10980407,0.14018379,0.18229498,0.21677773,0.23328274,0.22788425,0.20815219,0.18282354,0.16327928,0.15264893,0.15005189,0.1484803,0.14588106,0.14392723,0.14937113,0.16533959,0.1906086,0.2184359,0.23967658,0.24470465,0.22735281,0.19009592,0.14604811,0.1145452,0.109639265,0.13106833,0.16589196,0.19900863,0.22289567,0.23553681,0.23736383,0.22955258,0.21717264,0.20543087,0.19419467,0.18040158,0.16349007,0.14983787,0.14337792,0.14299993,0.14296949,0.14143746,0.13813972,0.13178347,0.11812255,0.09577937,0.06866329,0.0438209,0.025924027,0.015856313,0.013435039,0.021399206,0.044862688,0.08562247,0.13544309,0.17697029,0.19493091,0.18813585,0.17095138,0.15973605,0.16077198,0.16727525,0.17113261,0.16799794,0.16099499,0.15438569,0.15696274,0.17511463,0.2093666,0.24640493,0.2691475,0.26879218,0.251733,0.22906779,0.20455565,0.17283905,0.1308036,0.08408899,0.044580802,0.019233918,0.007457486,0.003454292,0.0025980752,0.0024991988,0.0033449382,0.009097816,0.028059455,0.06910183,0.13055538,0.1969403,0.24562836,0.26465455,0.2572645,0.23760892,0.2190576,0.21413042,0.22887354,0.26104006,0.29100025,0.29861352,0.2743084,0.23458445,0.20175458,0.18881714,0.18524927,0.1723242,0.13968791,0.09425821,0.051818084,0.023891298,0.0145998,0.024640871,0.05568449,0.10722808,0.17252071,0.24039404,0.297141,0.33327416,0.34168124,0.32641527,0.2964244,0.26601332,0.24404794,0.23336108,0.23233722,0.23556393,0.24285235,0.2522302,0.26206562,0.26027766,0.23879695,0.20018052,0.16449057,0.15044124,0.16239254,0.18772961,0.21140622,0.22714137,0.23502886,0.23604558,0.2266451,0.20513284,0.17525762,0.14521019,0.122718126,0.108474545,0.10285088,0.106551915,0.12456203,0.15613897,0.19425917,0.22545005,0.24113016,0.24403976,0.24881567,0.26787427,0.29736197,0.3162491,0.30282634,0.2527134,0.18098895,0.11068523,0.059781667,0.038480826,0.05361131,0.10758845,0.19196637,0.27821565,0.33041242,0.32517716,0.27204427,0.20062913,0.14068376,0.10483068,0.09829771,0.124593616,0.18506496,0.26487222,0.33637893,0.3704615,0.3557215,0.3006278,0.22796035,0.16110334,0.11645985,0.10013839,0.110085614,0.13800421,0.17262588,0.2027818,0.22089009,0.2222413,0.20393308,0.16616349,0.11621854,0.06812986,0.037564766,0.038391065,0.08196929,0.17298765,0.29457256,0.40560937,0.45756292,0.43214682,0.35222098,0.26576254,0.20926917,0.1935234,0.20627452,0.2267161,0.23674113,0.23057424,0.21603356,0.20643349,0.2077648,0.21640497,0.22513558,0.23296408,0.2436646,0.25994623,0.2751096,0.27921906,0.2675432,0.2499345,0.23823304,0.23833574,0.24235964,0.24386995,0.23720104,0.22272144,0.19945008,0.17582291,0.16263999,0.167955,0.18485755,0.20282328,0.21753186,0.23596196,0.262518,0.29268786,0.31314203,0.31802747,0.31024483,0.30537024,0.30870986,0.31840023,0.31574416,0.2965089,0.26594016,0.2462257,0.24432068,0.25669238,0.26720548,0.2714884,0.27086425,0.27258202,0.27318132,0.2676266,0.25158498,0.23337395,0.22106278,0.21517044,0.20195992,0.17038383,0.12185966,0.07223347,0.03575861,0.01961266,0.024275333,0.05258515,0.10435667,0.17351551,0.2433387,0.29890656,0.33150128,0.34142458,0.33010092,0.2975841,0.2460712,0.18273406,0.12167635,0.07678484,0.056677323,0.06110367,0.083236724,0.11654144,0.15388747,0.1895497,0.21424437,0.22353558,0.21577422,0.19388014,0.16078939,0.12422264,0.09857413,0.096329935,0.1166814,0.14198516,0.15319373,0.14563237,0.13079552,0.12350285,0.12818131,0.13882343,0.1454859,0.14138152,0.123575486,0.095535986,0.067842126,0.058233965,0.08111,0.13896693,0.21659769,0.29054546,0.3401563,0.35622397,0.33838233,0.29230282,0.22918887,0.16764359,0.12597723,0.11405002,0.12579344,0.14917348,0.17377824,0.19949515,0.22769046,0.2537968,0.26320645,0.24233831,0.19136357,0.12663598,0.0691429,0.031200754,0.012265881,0.005275287,0.0032331664,0.004390484,0.013951667,0.04411891,0.10677979,0.20083837,0.30798247,0.39917925,0.45326045,0.46067846,0.4267656,0.3652197,0.30151746,0.25901952,0.24587993,0.24640559,0.23896886,0.21601297,0.1896277,0.17586714,0.18146706,0.20118637,0.22468883,0.24023758,0.24156348,0.22996943,0.21455061,0.20114942,0.18969059,0.17568745,0.15813863,0.13929382,0.12369045,0.11775141,0.1295922,0.16271462,0.20832984,0.24482447,0.25244486,0.2283231,0.19062865,0.16480102,0.16494139,0.18894134,0.22116788,0.24871154,0.26383582,0.26913342,0.26797068,0.26345724,0.2575194,0.25324717,0.25485888,0.26059887,0.266323,0.2674303,0.26614162,0.26217908,0.25090578,0.22303571,0.17850852,0.1266997,0.082005225,0.05102102,0.032561112,0.02120097,0.013642382,0.008895771,0.008210535,0.014068467,0.031234154,0.06112824,0.10210795,0.14511581,0.18289745,0.20753686,0.21966703,0.2237047,0.23074704,0.2460134,0.26813588,0.2895105,0.30699608,0.3195933,0.3252022,0.3155503,0.28510797,0.23653632,0.1851377,0.15135276,0.15179265,0.18629162,0.23528366,0.27067778,0.27767456,0.26421168,0.24882488,0.23880075,0.22456968,0.19547194,0.1545582,0.116049886,0.08983242,0.075322054,0.07027849,0.07970325,0.113577046,0.17278016,0.24208824,0.2957103,0.3132811,0.29272848,0.24974948,0.20594276,0.17439057,0.156488,0.14938742,0.15492271,0.17726839,0.21693261,0.26336432,0.30300233,0.32175466,0.31581914,0.28710535,0.24848379,0.21426976,0.19780938,0.19928776,0.20879178,0.21313412,0.20809461,0.20231314,0.20706932,0.23041634,0.2648477,0.29672408,0.3068235,0.2894944,0.25185388,0.21314634,0.18789656,0.17775337,0.17541784,0.17299734,0.17017762,0.16788435,0.16521955,0.15856624,0.14602007,0.12899458,0.10806182,0.08387071,0.057538614,0.0337915,0.016798949,0.007970598,0.0050208042,0.005245372,0.009301796,0.023239443,0.05747257,0.1171264,0.19534676,0.27065912,0.32252178,0.33936954,0.3240362,0.2821397,0.22199988,0.15337148,0.09051448,0.045169204,0.023261236,0.02769553,0.062481392,0.12976412,0.21658926,0.2945026,0.33228922,0.32126567,0.27691934,0.22636746,0.18590792,0.16080052,0.1511472,0.15880448,0.18040152,0.20443481,0.21534365,0.2074586,0.18911397,0.17877515,0.1890288,0.21906705,0.25093463,0.2634199,0.24512267,0.2072774,0.17418848,0.16659935,0.18359946,0.20724745,0.21790087,0.21297526,0.20656937,0.21569061,0.24214478,0.26766315,0.26895145,0.2356971,0.18183224,0.13177826,0.10615158,0.11019807,0.13946138,0.18254668,0.22331972,0.24516296,0.23973407,0.21492279,0.18590088,0.1667069,0.16061918,0.1684743,0.1896498,0.22385228,0.26234487,0.2879683,0.28499326,0.25188696,0.20572078,0.16747318,0.14986913,0.15355842,0.1756441,0.21039395,0.24647291,0.26723266,0.2633311,0.24121945,0.21967907,0.21414529,0.22664827,0.24629636,0.26157525,0.26884183,0.27658316,0.29021826,0.30586508,0.30603242,0.28320238,0.2441941,0.21007238,0.19268863,0.19485033,0.20993824,0.2313575,0.24483986,0.23622556,0.19802578,0.14149491,0.08527529,0.044546876,0.021302873,0.010849815,0.008156893,0.013966608,0.03374594,0.0726158,0.12769973,0.18770461,0.23785545,0.26780578,0.2732341,0.25902048,0.23950242,0.23209512,0.24319752,0.2602081,0.2633494,0.24389847,0.2138468,0.19426107,0.19695318,0.21336521,0.2222191,0.20884155,0.17778265,0.14726739,0.13211437,0.13334139,0.14480786,0.16312237,0.19144969,0.22814055,0.26184496,0.27691063,0.26920924,0.25079587,0.23815632,0.23885907,0.24686377,0.2519659,0.24554396,0.2251331,0.19551152,0.17111383,0.16946135,0.19751488,0.24099779,0.2706682,0.26282778,0.2151709,0.14853442,0.09077237,0.06550216,0.08006382,0.12923886,0.19250512,0.24739857,0.27519754,0.27367148,0.25215217,0.22516315,0.20292735,0.18919508,0.18476719,0.18923259,0.20218177,0.21897916,0.23163833,0.23021472,0.21009056,0.17274852,0.12721632,0.08335221,0.049555376,0.027562937,0.015424504,0.0089186635,0.005526099,0.003771351,0.0031356441,0.0030531355,0.0031242687,0.004302678,0.010156824,0.027434776,0.06110686,0.10870574,0.15926684,0.20063479,0.23066938,0.2553275,0.2832309,0.31115004,0.3295628,0.32725313,0.3085064,0.28843373,0.28467622,0.29744217,0.3117111,0.3089467,0.28401014,0.24456514,0.20135893,0.16228344,0.1319949,0.11674374,0.121829055,0.14931466,0.19256856,0.23603578,0.26199567,0.2609832,0.23859596,0.20966375,0.18744536,0.17653818,0.17079103,0.16259949,0.1461149,0.12719375,0.11198249,0.105230756,0.09980285,0.08906963,0.06995942,0.048208993,0.029771158,0.017454881,0.010037265,0.005643742,0.0034302801,0.0047478755,0.0152211385,0.045201134,0.10305383,0.18258019,0.2574562,0.29376587,0.2743705,0.21149778,0.13612293,0.07466054,0.03628542,0.016390039,0.00717522,0.0032251708,0.0018221281,0.0014868388,0.0014959775,0.0016308642,0.0018928678,0.0022708203,0.0026623867,0.0029720787,0.0042886618,0.011138608,0.03263777,0.07769106,0.1463839,0.22672965,0.3027554,0.36646804,0.41775963,0.45643416,0.4758359,0.47142616,0.445433,0.4074737,0.36402535,0.3225522,0.2917465,0.28599003,0.3069621,0.33973327,0.3525187,0.32432035,0.25626785,0.17277376,0.09942182,0.05033354,0.02722049,0.029830754,0.061580587,0.12233299,0.2000097,0.26911268,0.30895284,0.31357083,0.29675826,0.27066866,0.24503224,0.21828671,0.19578685,0.18029685,0.18053794,0.19497947,0.21756844,0.230991,0.22274487,0.19076248,0.14999443,0.118151076,0.10623043,0.111959405,0.13039385,0.15679781,0.18952346,0.2206872,0.24104321,0.24480079,0.2411002,0.24578218,0.26769415,0.29532441,0.30737185,0.29047754,0.2514721,0.20722695,0.17217404,0.15134569,0.1432461,0.14331003,0.14478453,0.1440835,0.14252375,0.1450383,0.15168725,0.15406905,0.14241064,0.11377913,0.0778101,0.049556285,0.043540463,0.06607052,0.11247637,0.16966875,0.2220702,0.2625456,0.29151562,0.31418958,0.33105648,0.33831295,0.33197847,0.31501043,0.2962259,0.2836012,0.2778525,0.27620426,0.2754058,0.27214795,0.26049355,0.23680945,0.20543282,0.17590971,0.15509607,0.1433307,0.13775454,0.13616465,0.13838613,0.14647849,0.16386507,0.18929641,0.21427314,0.22451387,0.21256982,0.1827331,0.1513775,0.13290656,0.1340751,0.1507473,0.1776371,0.20858634,0.23578876,0.24664499,0.23193122,0.19656861,0.15919499,0.1416207,0.15130389,0.17895009,0.2037617,0.2087307,0.18990062,0.15646,0.12488318,0.10647866,0.10704631,0.12423875,0.15404595,0.18668221,0.21023454,0.21467437,0.20249861,0.18780655,0.18616462,0.20056634,0.22245646,0.24107039,0.2538949,0.26283228,0.2676872,0.2630155,0.24514282,0.21827184,0.19220543,0.17277624,0.15606768,0.13346826,0.10190729,0.06710231,0.038102787,0.019425197,0.009933253,0.0059109363,0.004840275,0.0074619614,0.01735667,0.041254204,0.080854885,0.13270254,0.1806398,0.21247439,0.2183345,0.2082687,0.19474207,0.19708735,0.22006203,0.25992295,0.29862073,0.31980416,0.31811664,0.3020861,0.28531256,0.26971078,0.2504004,0.22198634,0.19325751,0.17629719,0.17831458,0.19072306,0.19848609,0.19188714,0.17677824,0.16910715,0.18003857,0.20548117,0.2304961,0.24529226,0.25127757,0.25613347,0.25820604,0.25006205,0.22531949,0.1920168,0.16246398,0.14463325,0.13522941,0.13039397,0.13354087,0.15300883,0.18915732,0.22645654,0.24153137,0.22084342,0.17078286,0.11175788,0.063010134,0.034978732,0.029873425,0.04641803,0.07816821,0.115871996,0.14977227,0.17719997,0.19761528,0.20991194,0.20991398,0.19782071,0.1809481,0.16934335,0.16809767,0.17459096,0.18244143,0.19081299,0.20185296,0.2180578,0.23042013,0.229397,0.2096175,0.18033159,0.15379472,0.14256714,0.1517508,0.18052287,0.21789849,0.2486584,0.2603465,0.25089034,0.22719188,0.20077322,0.18145944,0.17363276,0.1725955,0.17021418,0.16056217,0.14710431,0.13720262,0.13477027,0.13532321,0.12920281,0.111626424,0.08482197,0.05752927,0.035918992,0.022198634,0.014279786,0.009957428,0.008354963,0.011615911,0.024809353,0.054758023,0.10202032,0.15871735,0.20674926,0.2339945,0.2381994,0.2316668,0.2241022,0.22030437,0.22012794,0.22738451,0.24385,0.26140615,0.26242036,0.23638855,0.19107173,0.1516685,0.14091791,0.16701794,0.21643277,0.26574206,0.29192773,0.28609607,0.25548664,0.22060208,0.20156318,0.20770888,0.23254855,0.263237,0.28715527,0.3000735,0.30037186,0.29167756,0.27625182,0.26005775,0.24545942,0.2341942,0.22442031,0.2171465,0.21652667,0.22539853,0.24211292,0.25676963,0.26276183,0.25540197,0.2398339,0.22005646,0.20460212,0.19685924,0.19901226,0.20655863,0.21501936,0.22055882,0.22056513,0.21265554,0.19729154,0.18100613,0.17402904,0.1820395,0.20081991,0.21726434,0.2186675,0.20032227,0.16693735,0.12723364,0.08854111,0.056063432,0.035171494,0.032573145,0.053960864,0.09802204,0.15224177,0.1976888,0.22259383,0.2315923,0.23892193,0.25081566,0.25815406,0.24504404,0.20557027,0.1485535,0.09170545,0.051303837,0.037429687,0.05471149,0.10031054,0.16508213,0.23004793,0.27712646,0.29297698,0.28254938,0.2609183,0.2480731,0.25005925,0.25916553,0.25811905,0.23539591,0.19128853,0.13678063,0.085686535,0.047036882,0.022927059,0.010141607,0.004352437,0.0020944302,0.001441536,0.0013742308,0.0014759107,0.0015788855,0.0020098612,0.0047630747,0.014687464,0.039172694,0.083604455,0.14682598,0.21773863,0.27911258,0.31278124,0.30769336,0.2644609,0.19651775,0.12447695,0.067204945,0.03650062,0.038747083,0.07652848,0.1463006,0.228809,0.29469156,0.318073,0.2986072,0.25657603,0.2172945,0.19113804,0.17691828,0.1698373,0.16800763,0.1679158,0.16491775,0.1551253,0.14131539,0.13123603,0.1335351,0.15010412,0.17261346,0.18821903,0.1882555,0.17580593,0.1610523,0.15406696,0.15908852,0.17506243,0.2012626,0.23455495,0.2713062,0.3009889,0.31634977,0.31052437,0.285571,0.24663754,0.20758398,0.18045546,0.17019081,0.16754645,0.160448,0.14450555,0.12613603,0.1134684,0.10668183,0.101095796,0.09218713,0.08395886,0.082259886,0.09037116,0.10147076,0.10526662,0.09498576,0.07354992,0.049419228,0.030003509,0.018465156,0.016482906,0.028294632,0.0595393,0.11149901,0.17560208,0.23584871,0.27767104,0.29544568,0.29236493,0.27406022,0.2456948,0.2134339,0.1859448,0.17113145,0.17029803,0.18077807,0.19699246,0.21524109,0.2262001,0.22322007,0.20316982,0.17699355,0.15675448,0.1518749,0.16049558,0.17608607,0.18960841,0.19340198,0.18395878,0.16218796,0.13515826,0.110385634,0.096226215,0.094758086,0.10362405,0.112333186,0.11127296,0.09551594,0.07031186,0.04479435,0.026117103,0.01568375,0.01300056,0.020330086,0.04340978,0.084161244,0.13463779,0.17780638,0.19905823,0.1957116,0.17679805,0.15687113,0.14724584,0.15377204,0.17124958,0.18710689,0.18685906,0.16584857,0.13189587,0.10022197,0.08545669,0.093665995,0.123093605,0.16354549,0.20417584,0.23449175,0.25068665,0.25266078,0.24487431,0.23004593,0.210481,0.18560624,0.15631142,0.12235717,0.087971,0.059362035,0.046260282,0.05260027,0.0769589,0.11245045,0.15192461,0.18572432,0.20230646,0.19465975,0.16962944,0.14729398,0.14646025,0.1688031,0.19627373,0.205348,0.18564866,0.14857563,0.11879596,0.1156258,0.13998143,0.17495091,0.20064092,0.2051846,0.18917708,0.15850312,0.12094527,0.08311539,0.05117607,0.028399095,0.014730778,0.0075743203,0.0041611893,0.0026594,0.0020913614,0.0019120933,0.0018346165,0.0017644055,0.0017022197,0.0016464177,0.0015896218,0.0015372095,0.0015215332,0.0015771417,0.0017193118,0.0019171316,0.0021671506,0.0031667396,0.007050591,0.020395027,0.052462727,0.113256514,0.19841725,0.28863093,0.35097694,0.36920956,0.35189596,0.33112413,0.3297323,0.3466072,0.36374918,0.36806706,0.3648347,0.36261818,0.36460635,0.3620508,0.35169864,0.33239916,0.30632147,0.26675743,0.21204008,0.14716034,0.088043444,0.04554927,0.022011973,0.011122634,0.006584542,0.00504503,0.007621873,0.021996139,0.061927512,0.14087524,0.25488257,0.37778687,0.46744272,0.4953768,0.4591438,0.38782263,0.31814107,0.27717772,0.2642661,0.25776258,0.23410584,0.18749376,0.13393477,0.09496847,0.085575014,0.106321074,0.15025105,0.20385401,0.25381756,0.2884441,0.30510858,0.3106382,0.3178195,0.33632973,0.36514142,0.39526212,0.41407666,0.4125624,0.38591707,0.338358,0.28338662,0.24007928,0.22424525,0.24096775,0.28406966,0.33523938,0.3736391,0.38416627,0.3714864,0.35083148,0.3357277,0.32049987,0.29000893,0.23404257,0.16185078,0.09325829,0.044803504,0.01906334,0.010964357,0.017513715,0.045324046,0.1021705,0.18662524,0.27823925,0.3489181,0.37824807,0.36796853,0.3384348,0.31488535,0.31463316,0.33561528,0.36232743,0.37314597,0.36143935,0.33385515,0.30524123,0.2785588,0.25157347,0.224229,0.20968395,0.2167611,0.24264698,0.26957306,0.2893847,0.29840776,0.3014951,0.29199496,0.27494982,0.25744933,0.25573152,0.2665155,0.27973565,0.2778341,0.25706992,0.21969323,0.18263876,0.16460682,0.18090075,0.22553295,0.27613917,0.31093577,0.32362607,0.32655147,0.3313818,0.34387806,0.3558496,0.35691783,0.3355529,0.29210302,0.240579,0.20354503,0.1918385,0.19358878,0.18488516,0.15313531,0.10627434,0.062473044,0.032671265,0.017161807,0.010779958,0.011978343,0.024349952,0.05530213,0.10862714,0.18051524,0.25809994,0.32442793,0.3622137,0.3586037,0.31439096,0.24985395,0.1994713,0.18781532,0.21383958,0.2538811,0.28790224,0.31144342,0.3306954,0.34243536,0.33320716,0.29290068,0.22983861,0.17064013,0.14055945,0.14890794,0.17912614,0.20409304,0.20070644,0.166876,0.116190575,0.068063505,0.033657614,0.0146441795,0.0061607645,0.0031605065,0.0022714194,0.0021167444,0.002131734,0.0021651357,0.002186878,0.0022427842,0.002359366,0.0025632873,0.004716919,0.015723655,0.049539175,0.11865591,0.21856983,0.31818646,0.37532237,0.3678124,0.31068644,0.24243443,0.19229293,0.16714185,0.1590604,0.16502117,0.1871789,0.22559081,0.26980355,0.30429718,0.3172933,0.30599403,0.27889904,0.25139093,0.24195229,0.25869694,0.2967535,0.3376133,0.3635938,0.36301377,0.33606565,0.2901257,0.23969293,0.19981128,0.18248652,0.18964009,0.21352918,0.23911922,0.25074705,0.24109955,0.21436656,0.18541683,0.16684926,0.16417277,0.17252862,0.18380743,0.18911546,0.18604201,0.17995621,0.1826721,0.20045991,0.22956492,0.25885382,0.2805469,0.29165387,0.29020885,0.27290553,0.2394915,0.19611233,0.15111074,0.10966706,0.07446637,0.05109702,0.049883753,0.07699389,0.12739596,0.18245472,0.22668831,0.2560766,0.2816166,0.3094053,0.33661103,0.35241058,0.35365283,0.34158063,0.3166726,0.27393603,0.21261132,0.14238305,0.08107766,0.04424922,0.040343326,0.06904665,0.123492755,0.18885319,0.24945319,0.29357994,0.31950817,0.32710198,0.31580994,0.28513032,0.24770121,0.22663458,0.242051,0.2903981,0.34506893,0.37603167,0.36874607,0.32839024,0.2687857,0.20856743,0.16820146,0.16363746,0.19288534,0.23094833,0.24765028,0.22904825,0.19034152,0.16067578,0.16243415,0.19354244,0.2318535,0.25012007,0.23496546,0.19035293,0.13309719,0.079419464,0.040453695,0.017888255,0.008270147,0.006983906,0.014597319,0.037349317,0.07933959,0.13511075,0.19040008,0.2345876,0.26794764,0.2944514,0.30924976,0.29923806,0.25998566,0.20908642,0.17717797,0.1834808,0.21750729,0.24863784,0.2525153,0.23081231,0.20313807,0.18554634,0.17764068,0.17338695,0.17105043,0.17544824,0.1847052,0.19253647,0.19220106,0.18656914,0.18134558,0.18274556,0.19150649,0.20472772,0.21301512,0.20747052,0.1857237,0.15850687,0.1404652,0.1390379,0.14843626,0.15721284,0.16111673,0.16217923,0.16442955,0.16423114,0.16102926,0.15857323,0.16663374,0.18567199,0.20882386,0.22396177,0.22608244,0.21533759,0.19972713,0.18618949,0.17755103,0.16591902,0.14292078,0.10711578,0.06843529,0.03735209,0.018546747,0.009337933,0.0056964024,0.004642322,0.004789064,0.006430374,0.012124113,0.02671273,0.052421752,0.08775592,0.1290372,0.1766479,0.23032205,0.2815256,0.31269422,0.31376207,0.29538393,0.281859,0.2877932,0.30638745,0.3182827,0.30920792,0.27785528,0.23430298,0.19578435,0.17737305,0.18260582,0.19712287,0.20249073,0.19155179,0.17512111,0.16741127,0.17218684,0.18141848,0.18474811,0.17892617,0.16668409,0.15409234,0.14448869,0.1416678,0.1484636,0.16903557,0.19946219,0.22886181,0.24273975,0.23857641,0.22857346,0.22989224,0.24592555,0.25925794,0.2470926,0.20094962,0.13572556,0.0747376,0.033796236,0.014659093,0.013832268,0.031873856,0.072474934,0.13428949,0.20146163,0.24953295,0.25852853,0.22944932,0.18251552,0.14664586,0.14070585,0.16761936,0.21306159,0.25630012,0.27687928,0.2663403,0.22910446,0.1844604,0.15109004,0.14036836,0.1455527,0.15716477,0.16806369,0.1828541,0.20334323,0.22495008,0.23543702,0.22956498,0.21282984,0.19732566,0.18743277,0.18054692,0.1728552,0.1683324,0.1696728,0.17170347,0.16173694,0.13352579,0.093647026,0.055884644,0.029568993,0.015223167,0.008429377,0.0051723565,0.0035023994,0.0027074928,0.002389915,0.0023468744,0.0025737367,0.0031103727,0.0038691654,0.0057039,0.012793641,0.0332554,0.07440037,0.13318461,0.19515562,0.24303393,0.27084756,0.28424737,0.2910806,0.2972873,0.30627784,0.32741836,0.36135972,0.40143904,0.4252603,0.41787526,0.3754866,0.31628335,0.26478833,0.24082892,0.24695635,0.27108815,0.29538515,0.30482498,0.29472724,0.2724939,0.25399345,0.25031564,0.25888273,0.26753223,0.26704147,0.25920117,0.2501956,0.24278994,0.23175664,0.21311359,0.19084035,0.17798972,0.18426502,0.205305,0.22499324,0.2276055,0.2120679,0.1888944,0.17302088,0.16980548,0.17625748,0.18343274,0.18963593,0.20086162,0.22791918,0.2692223,0.3074812,0.31604734,0.28174374,0.2133527,0.13647659,0.07384681,0.03579146,0.022244388,0.03318699,0.072276,0.13912576,0.22061612,0.2902371,0.326167,0.32232466,0.29339102,0.25769693,0.23181884,0.22219498,0.22847565,0.2414817,0.25024235,0.24911813,0.2393109,0.2245211,0.20642799,0.1858521,0.16524266,0.14636578,0.13287918,0.12924238,0.14259882,0.17078207,0.19948454,0.20623367,0.1797117,0.12838563,0.07420518,0.03745424,0.029274382,0.055733245,0.116571,0.19929928,0.27517918,0.31540295,0.3122209,0.28553066,0.26415694,0.26105475,0.26544404,0.25889385,0.23563938,0.21112709,0.20512493,0.22450332,0.2555624,0.27915254,0.28250745,0.26352042,0.22558881,0.17830186,0.13727297,0.12086073,0.13812305,0.18045539,0.22235446,0.23596077,0.2111039,0.16074513,0.10969717,0.07315598,0.051204044,0.0368022,0.029837377,0.039567973,0.077642076,0.14277428,0.2192663,0.28379235,0.3256277,0.34425044,0.3444021,0.32513142,0.29071936,0.25157136,0.22193478,0.20756567,0.20949666,0.22416104,0.245613,0.26065552,0.26068088,0.24741314,0.23304717,0.22411041,0.21837817,0.2090138,0.1934159,0.17289753,0.15273796,0.14353211,0.15644805,0.19281353,0.23601563,0.26479706,0.27236775,0.27371463,0.28795746,0.31558946,0.33859336,0.33542266,0.30074105,0.24233085,0.17526436,0.11220411,0.06601482,0.048469122,0.071379274,0.13363928,0.21852231,0.2907337,0.32400778,0.31226167,0.277931,0.24531531,0.22893251,0.22616047,0.22968005,0.23382033,0.23748495,0.2408225,0.24114005,0.234854,0.22343387,0.21569197,0.21903294,0.22876899,0.23080581,0.21382296,0.17944086,0.13901545,0.107207954,0.09301165,0.09758229,0.111565806,0.12493569,0.13171344,0.13432448,0.13427055,0.12894213,0.11343962,0.08803033,0.059743468,0.03631496,0.020987183,0.012025581,0.006724659,0.003582932,0.002016667,0.0014998228,0.0014282909,0.0014652138,0.0015111327,0.0015743332,0.0016606996,0.0017783116,0.0019309949,0.0021099232,0.002272152,0.0035028486,0.009458744,0.026564626,0.05987988,0.10874931,0.1660608,0.22249646,0.26858366,0.2971319,0.3043318,0.2953628,0.2780062,0.25823677,0.23605955,0.21568625,0.20602262,0.21148296,0.22161436,0.21629101,0.18432295,0.13234676,0.07896406,0.039031796,0.016533652,0.006794593,0.0035444738,0.003210609,0.006657263,0.02078451,0.056415364,0.121214546,0.20558427,0.28207496,0.31819293,0.30321315,0.25307748,0.19916219,0.16378237,0.15380251,0.16193199,0.1764543,0.18598418,0.18704675,0.18326075,0.1818509,0.18487896,0.18990064,0.19197227,0.1895325,0.1845591,0.1820951,0.1873536,0.20134436,0.22247209,0.24438143,0.26167896,0.26454774,0.24609114,0.20294178,0.14443323,0.08733535,0.050010372,0.0435002,0.06715334,0.11038337,0.15647827,0.19559723,0.22518416,0.24988224,0.26643422,0.27017987,0.2569711,0.23580082,0.21968187,0.2184279,0.22804826,0.23428284,0.22482894,0.2017417,0.17911528,0.16989855,0.17154448,0.17217839,0.16232511,0.14581023,0.1344123,0.13601951,0.15090187,0.17183828,0.19404656,0.2117752,0.21999045,0.21077871,0.18164818,0.13749988,0.090282075,0.05117021,0.027062567,0.021442445,0.039538316,0.08548609,0.1581107,0.24133766,0.31221738,0.3473636,0.34298328,0.31377742,0.2893752,0.28846923,0.3075377,0.32315204,0.31467617,0.27963224,0.232611,0.19195686,0.17052238,0.17140555,0.1916322,0.22132675,0.2481879,0.25758398,0.24151154,0.20360462,0.15959857,0.12832792,0.11699299,0.12264395,0.13396932,0.14922725,0.16922246,0.19814867,0.22679432,0.24137633,0.22824503,0.18799901,0.1329759,0.081374735,0.048085187,0.04204068,0.06566645,0.11817271,0.19289728,0.2751765,0.3402455,0.36223292,0.3332279,0.26911893,0.20612796,0.17116971,0.17461045,0.2022962,0.2377963,0.26540557,0.28160584,0.28418836,0.27419567,0.25092882,0.22027779,0.19235389,0.17784923,0.17804079,0.18519856,0.1899376,0.18767305,0.17960353,0.1686128,0.16095346,0.16158016,0.1721036,0.18401791,0.18841636,0.18193914,0.17257546,0.16907996,0.17405193,0.1833543,0.19213152,0.19968414,0.20321119,0.19925267,0.18417956,0.16469663,0.15218167,0.1563076,0.17405647,0.19125022,0.19177373,0.16834319,0.12790108,0.0843597,0.049604315,0.02710779,0.014604415,0.008318515,0.005534291,0.004590024,0.0047691073,0.008050644,0.019804794,0.046798576,0.08849949,0.13447101,0.1689961,0.18791306,0.19924486,0.21413825,0.22869354,0.23036261,0.21035396,0.177105,0.14663914,0.13383406,0.14381893,0.17615406,0.22378707,0.27380326,0.30980515,0.31870082,0.30209482,0.2724646,0.2498129,0.24288124,0.2518901,0.26566136,0.27580452,0.27423012,0.25828272,0.22869335,0.19356863,0.16429113,0.14893217,0.14591485,0.14732213,0.14596663,0.14076166,0.13322051,0.124303736,0.11573276,0.1140668,0.1290492,0.16305035,0.20522487,0.2354948,0.2411102,0.22372983,0.19900222,0.18171138,0.1802604,0.19051813,0.20394021,0.21131663,0.21122688,0.20561542,0.195907,0.17968017,0.15662457,0.1334707,0.11877958,0.11475506,0.11210299,0.10053582,0.07776892,0.054369178,0.046629515,0.0680806,0.120705,0.18956661,0.24893449,0.2797685,0.28474012,0.28296494,0.2863454,0.28961074,0.27837536,0.25054464,0.21618791,0.18899041,0.17543876,0.17613725,0.18981583,0.21216202,0.23734762,0.2577731,0.26893976,0.2684106,0.25542054,0.23123056,0.19947521,0.1690882,0.15051919,0.15361792,0.1779449,0.2108469,0.23062794,0.222426,0.18824686,0.14790505,0.12307221,0.12721835,0.15594925,0.19565375,0.22520395,0.2318209,0.21194744,0.17802949,0.14475298,0.12583192,0.124586046,0.14000528,0.16307357,0.18305321,0.18774362,0.17477123,0.15157604,0.13213693,0.12441727,0.1260929,0.13084602,0.13608734,0.14629276,0.16262017,0.18330623,0.20211388,0.2208013,0.24019325,0.26113412,0.27327752,0.26761365,0.2397697,0.19978075,0.1652813,0.15150604,0.16068457,0.17881928,0.1885824,0.18199766,0.16817386,0.16207206,0.1705128,0.18770684,0.20185782,0.20803352,0.20691057,0.20351636,0.19740434,0.1869076,0.16889904,0.14604564,0.12297597,0.104143,0.08855465,0.07295331,0.05561158,0.039091054,0.026844008,0.020094113,0.017210456,0.016322372,0.016719932,0.018556671,0.021514582,0.024655553,0.026794238,0.027370548,0.026604801,0.026201405,0.030828148,0.047415048,0.081274025,0.12684847,0.16897713,0.19131728,0.1936629,0.18989782,0.19662796,0.2157371,0.23570363,0.24189551,0.22915007,0.20354982,0.17659627,0.15748213,0.15048188,0.15575258,0.17264946,0.19682176,0.22236349,0.23758532,0.23581348,0.21446492,0.1853802,0.16248451,0.15923832,0.17783068,0.21548289,0.26523545,0.31669647,0.35240337,0.35374096,0.31383345,0.24771391,0.1854765,0.15109436,0.14600994,0.14968692,0.14079188,0.11221402,0.075965606,0.05017482,0.051492017,0.087923825,0.15599193,0.23559059,0.29515567,0.3083625,0.2728487,0.21323474,0.16638213,0.15783346,0.18986572,0.2407202,0.28108612,0.28800905,0.26014903,0.2163466,0.18904258,0.20294738,0.26027787,0.33386722,0.384969,0.3858091,0.33838794,0.2689393,0.21102071,0.18325518,0.18302475,0.19083126,0.18744962,0.16344331,0.1241251,0.08148099,0.04828428,0.033428878,0.043798935,0.08512687,0.15620916,0.24390346,0.32208303,0.3659216,0.3651804,0.33125532,0.28791744,0.25814494,0.2535316,0.27266094,0.3011056,0.31950915,0.31086418,0.2759373,0.23147976,0.20182942,0.1976723,0.21133001,0.22488137,0.22720663,0.22044502,0.21473885,0.2195772,0.23834555,0.26587984,0.28873613,0.29232726,0.27359322,0.24676394,0.23461437,0.25027618,0.28802285,0.32910308,0.35498604,0.35682726,0.33402994,0.29370132,0.24470071,0.19927406,0.16420056,0.14377773,0.1357618,0.13865168,0.14750506,0.1564065,0.15993388,0.16042648,0.16550986,0.17807843,0.18740089,0.17811102,0.14451107,0.09851429,0.05748195,0.031938035,0.020402508,0.016410418,0.0145895155,0.014266804,0.01807637,0.031890508,0.057976287,0.094919644,0.13242705,0.16378224,0.18476033,0.20218204,0.2202221,0.2429405,0.2656547,0.28461757,0.29476285,0.29783273,0.2973778,0.29849747,0.3007129,0.2990397,0.2869601,0.2614496,0.22657114,0.18975388,0.15736991,0.12855859,0.09964153,0.069014855,0.04116265,0.021156652,0.011117276,0.010926813,0.024042496,0.057579204,0.11402035,0.18171419,0.23717438,0.2623033,0.25912312,0.24763244,0.24424934,0.24723238,0.23920105,0.2085247,0.16231146,0.123051845,0.11045683,0.12952088,0.17083019,0.21909094,0.2574562,0.2731513,0.2627046,0.23842554,0.21932483,0.21739292,0.22682653,0.2316084,0.21864723,0.18802129,0.15163527,0.12451455,0.11577189,0.123780094,0.14087301,0.15714324,0.16444433,0.15544422,0.12860398,0.089999914,0.05200952,0.02441054,0.011039934,0.012140888,0.031169342,0.07267907,0.13614428,0.20816195,0.26821506,0.29850784,0.29810312,0.28089973,0.2686081,0.27262202,0.29149222,0.31174812,0.32249668,0.31846538,0.30248263,0.27899143,0.25157914,0.22184129,0.19050287,0.15989143,0.13256456,0.11174137,0.10098652,0.10537074,0.12802698,0.16444705,0.20181012,0.22627221,0.23524629,0.23879097,0.25126055,0.27553427,0.30100322,0.31104803,0.29693317,0.26099038,0.21215819,0.1607295,0.11756569,0.092857756,0.09216542,0.10934617,0.13265751,0.15111922,0.16500394,0.17685968,0.18546577,0.18116444,0.15693417,0.116453804,0.072819985,0.03872801,0.018298658,0.008600417,0.004463344,0.002678996,0.0018754365,0.0016055554,0.001587981,0.0016613008,0.0017759894,0.0019306913,0.0021406014,0.0023852177,0.0029122662,0.0059780567,0.0173972,0.046326112,0.09672334,0.1610682,0.2179658,0.24869801,0.24666691,0.22422855,0.19929455,0.19055289,0.20653792,0.24192233,0.2751045,0.28238845,0.2566304,0.21164882,0.17041828,0.14856903,0.15088773,0.17227381,0.20165293,0.22509162,0.23602621,0.23701082,0.23640871,0.23388748,0.22363196,0.19958203,0.16757749,0.13736816,0.11613562,0.10424111,0.10320225,0.11852188,0.15224947,0.19443387,0.22430806,0.2272557,0.20454712,0.17438109,0.15442653,0.15446647,0.17033541,0.19475125,0.21944378,0.24050872,0.25149155,0.2459423,0.22068024,0.18425684,0.15360118,0.1398147,0.13926737,0.13438584,0.1140768,0.080233805,0.049102623,0.03438437,0.04307502,0.073365785,0.12084081,0.176751,0.2283839,0.26060888,0.26792285,0.2569982,0.24301939,0.2329685,0.22487031,0.21324553,0.2008043,0.1946923,0.19843632,0.2065345,0.2087682,0.19984247,0.1836821,0.1709361,0.17102207,0.18501168,0.20578457,0.21925394,0.21421641,0.18728524,0.15073596,0.12289619,0.11882931,0.13718592,0.16512646,0.18593635,0.19006985,0.1774493,0.15529789,0.13469523,0.12545776,0.13260068,0.15149428,0.16985898,0.17732686,0.17291105,0.16358624,0.1517712,0.13344933,0.10430776,0.0692314,0.039217547,0.02462945,0.03126458,0.05967926,0.10347649,0.14901276,0.18205966,0.19823073,0.20389968,0.20924197,0.21636562,0.21966012,0.21072781,0.18841387,0.16082975,0.14066292,0.13604553,0.14361195,0.15316798,0.15583122,0.15300946,0.151013,0.15462814,0.15994348,0.16334395,0.165056,0.17112987,0.17999442,0.18247287,0.16619916,0.13048354,0.08711798,0.055532206,0.052731533,0.08505408,0.14332001,0.20218825,0.2356429,0.23380263,0.21173851,0.19196391,0.18582499,0.18751945,0.19055139,0.19641922,0.20992659,0.2258211,0.23179643,0.22220038,0.20579718,0.19750704,0.20160396,0.20972092,0.2092371,0.19838136,0.18350673,0.17046829,0.15466356,0.12856275,0.09249876,0.060101077,0.050471187,0.07575259,0.13405345,0.20710643,0.26939127,0.2993811,0.2956067,0.27556732,0.2634617,0.26901296,0.2824916,0.28749526,0.27614716,0.254788,0.2321469,0.21622616,0.21039468,0.2185012,0.23761387,0.25950015,0.27284107,0.27111828,0.2533801,0.22172713,0.18207179,0.14495654,0.12378869,0.12606077,0.14686419,0.17155667,0.18612283,0.18629819,0.17729814,0.16515893,0.15147306,0.13425496,0.114171445,0.09606025,0.085921586,0.089372076,0.108256936,0.14080723,0.17729414,0.2057779,0.21801467,0.2149263,0.20385005,0.18955702,0.1746038,0.15763766,0.14356221,0.13706732,0.14434087,0.15970647,0.171932,0.16601211,0.1391029,0.09906023,0.06076994,0.033312585,0.018100217,0.01113563,0.010570097,0.02061437,0.050880745,0.10783946,0.18377994,0.2566063,0.30119136,0.30736244,0.28223366,0.246534,0.2220455,0.2253037,0.25571144,0.29380614,0.3096267,0.2848418,0.22564329,0.15923254,0.112478085,0.09729425,0.106919765,0.12804896,0.14764254,0.1580603,0.15703566,0.15023337,0.14813508,0.15734714,0.17515792,0.19121478,0.19803227,0.19257791,0.17722039,0.15309928,0.12551504,0.10027969,0.08496364,0.08038429,0.08377683,0.090656996,0.09907714,0.109844126,0.122905456,0.13675486,0.14417635,0.13836859,0.116190694,0.084439844,0.053368855,0.030878358,0.017664086,0.010598916,0.0064834305,0.0039325445,0.0025826562,0.002117408,0.0040423134,0.013082241,0.03971031,0.09213606,0.17074877,0.2579914,0.3297559,0.36544016,0.36367765,0.33861825,0.3118331,0.30156597,0.3121717,0.3318534,0.33459997,0.3007096,0.23028888,0.14635094,0.075554006,0.034728594,0.029074118,0.062086433,0.13467957,0.23356704,0.3260126,0.37493637,0.36605582,0.3156016,0.25603834,0.2136103,0.20062107,0.21953796,0.26359975,0.31875613,0.36360356,0.38464764,0.38296476,0.37635446,0.3812617,0.39732504,0.40585306,0.3869091,0.3406695,0.28794995,0.2540522,0.24995513,0.26889932,0.29925027,0.3305641,0.35865083,0.37677526,0.38108346,0.36881366,0.3441243,0.3122073,0.27864477,0.25079414,0.24064858,0.26074567,0.30756328,0.35616294,0.37043372,0.33260223,0.25336242,0.16415222,0.09099909,0.04452701,0.020256324,0.009899913,0.0065499037,0.009355225,0.02312059,0.057014167,0.113751106,0.18612659,0.25497594,0.30439544,0.3262854,0.32747233,0.31985995,0.31522694,0.31562224,0.31641507,0.3111882,0.29736218,0.27353057,0.23989715,0.2001008,0.16557664,0.14963771,0.16041152,0.19092329,0.22325216,0.23696989,0.22841425,0.2084164,0.19340396,0.18660004,0.18449269,0.18842398,0.20960723,0.25711608,0.32234654,0.38330683,0.4168894,0.4132757,0.37737057,0.32494748,0.27647117,0.24782133,0.24442565,0.2582313,0.2722967,0.26776224,0.23332272,0.17545211,0.1175314,0.08895808,0.10283047,0.1495232,0.20236729,0.23941632,0.25120187,0.24077469,0.21449085,0.18190593,0.15426679,0.13955592,0.13819997,0.14564265,0.16317606,0.19263963,0.23039997,0.26076588,0.27418444,0.2766621,0.28649125,0.3143505,0.35113218,0.37621674,0.36907986,0.32410133,0.24943084,0.16754226,0.10430217,0.08305033,0.112604804,0.18479414,0.27377465,0.34943214,0.38959706,0.38874853,0.3551763,0.30336055,0.25105602,0.21451579,0.20626228,0.22714753,0.2676183,0.3115531,0.3450396,0.35671246,0.34062767,0.29733452,0.24192172,0.19770579,0.18395163,0.20010574,0.22518714,0.23511504,0.21855813,0.18750183,0.16384698,0.16536959,0.19094914,0.22258236,0.23999847,0.23409224,0.2127796,0.18773854,0.16655104,0.15302028,0.15440637,0.1800694,0.23028259,0.29113162,0.34158584,0.36344278,0.35181224,0.3112147,0.2571068,0.20341076,0.1606496,0.12759094,0.09931141,0.07132175,0.045571785,0.025965093,0.014520771,0.009476665,0.0077614505,0.007248787,0.00707585,0.007560073,0.011567257,0.025779203,0.058992907,0.11256268,0.17526756,0.22385289,0.24235474,0.23085515,0.2096669,0.19973074,0.21225362,0.24037004,0.26632318,0.27362925,0.25518984,0.22017263,0.18253785,0.1569045,0.1477926,0.15468937,0.17149551,0.19080974,0.20376754,0.20241672,0.18257457,0.14640065,0.10324655,0.06774827,0.05451184,0.07297627,0.119004585,0.17753296,0.22541916,0.25227407,0.26096633,0.26991713,0.2875192,0.3100326,0.32187796,0.31514674,0.294335,0.26896757,0.24708341,0.22982311,0.22059178,0.21803547,0.21753299,0.2067014,0.18190116,0.15321715,0.14223771,0.16163446,0.20380926,0.24680017,0.2721261,0.27806136,0.27186653,0.25971222,0.23857228,0.20809488,0.17345728,0.14670222,0.13486917,0.14039278,0.1609974,0.19159156,0.22208755,0.24010067,0.24085988,0.22952263,0.2174424,0.2088628,0.20391148,0.20236947,0.21032675,0.22907524,0.25005248,0.25828257,0.24512576,0.2137462,0.17183287,0.12691213,0.08391667,0.04892077,0.026487062,0.020217253,0.035316017,0.07885706,0.15235992,0.23787324,0.30206847,0.31363332,0.26963273,0.19444108,0.12418064,0.082336366,0.07639664,0.10046741,0.14540087,0.19837134,0.24713592,0.27707088,0.28024176,0.25792924,0.22762851,0.20998758,0.21819212,0.24692686,0.28499898,0.321781,0.35436496,0.372866,0.36634472,0.32755387,0.27182314,0.2240278,0.20236963,0.20078175,0.20121211,0.1906725,0.17090292,0.15021141,0.1364852,0.13606389,0.1537358,0.18717213,0.22172642,0.2408986,0.24034733,0.23479371,0.24246307,0.2673855,0.29604462,0.30887055,0.29624796,0.26039398,0.21414816,0.17269291,0.14865313,0.14537351,0.1582319,0.18138213,0.21170793,0.24643664,0.2753804,0.28521776,0.26789942,0.23250608,0.20010078,0.1918221,0.21237536,0.24766155,0.27327582,0.2706404,0.2367561,0.18390338,0.13043956,0.09101089,0.07373831,0.08162546,0.114046596,0.16315888,0.21228331,0.2424341,0.24327864,0.22122578,0.19263332,0.1718195,0.16258413,0.16299272,0.17376506,0.19684201,0.22636871,0.24428523,0.23398982,0.19792914,0.1607106,0.14962591,0.17174357,0.20778279,0.22931714,0.2214899,0.19375241,0.16772802,0.15849191,0.16461946,0.17565687,0.18255772,0.18017982,0.16731052,0.14895582,0.13966197,0.15307187,0.18814832,0.22765724,0.25393584,0.26424018,0.2663301,0.26659107,0.26284108,0.25127283,0.2336957,0.21885379,0.21836187,0.23700075,0.2677739,0.29169217,0.29195455,0.26500753,0.22609238,0.1962194,0.19050497,0.20604704,0.22845294,0.23952182,0.23131953,0.2067765,0.17517294,0.14335097,0.11226934,0.08331955,0.062286034,0.06227307,0.0916006,0.14614512,0.20394814,0.24202526,0.2500194,0.23869933,0.2224186,0.20821363,0.19106919,0.1679713,0.14168568,0.118956655,0.1035493,0.09446039,0.088755436,0.081828244,0.07088199,0.055389006,0.03906964,0.02610069,0.018549578,0.0151931485,0.01364271,0.013283394,0.017635697,0.035128284,0.07431314,0.13563934,0.2053098,0.2615015,0.28718862,0.28312376,0.26379788,0.24750389,0.24264209,0.25166735,0.27493197,0.3115873,0.3492223,0.36477506,0.3408889,0.28254268,0.21569256,0.17082833,0.16574724,0.19994111,0.25385174,0.3029059,0.327852,0.3264525,0.30415022,0.27096924,0.2344131,0.2062379,0.19869669,0.2220285,0.27271,0.33008355,0.36382568,0.35456046,0.30730826,0.24543566,0.19071615,0.15342908,0.13605468,0.13906407,0.1582848,0.18275641,0.20242281,0.21711142,0.23207991,0.24824746,0.25705156,0.25280708,0.23864,0.22358735,0.21074438,0.19387893,0.16615681,0.12665585,0.08369615,0.046458855,0.021303907,0.007820162,0.0025421262,0.001181647]