[0,0,0,0,0,0,0,0,0,0,0,9.3965625E-15,5.354623E-12,1.7494561E-10,4.0132786E-09,6.050651E-08,8.34042E-06,5.1322593E-05,0.00017485132,0.00041171737,0.0007550419,0.001166894,0.001642643,0.0022130127,0.0029285594,0.0037728983,0.0047000293,0.0055500106,0.006101871,0.0060961433,0.0055207796,0.0048222044,0.005303317,0.009219807,0.02063421,0.045173015,0.089775294,0.15754808,0.24364758,0.33272842,0.40673602,0.4541175,0.47497308,0.4770904,0.46870148,0.45660123,0.44531348,0.43865263,0.43646845,0.4363483,0.43444812,0.42929292,0.41968307,0.40252912,0.3709832,0.319424,0.24965908,0.17365015,0.10710051,0.060824696,0.03596407,0.02733626,0.02973043,0.042385284,0.06926112,0.11363121,0.17296803,0.23607337,0.28989133,0.32618055,0.3463061,0.3565065,0.36335146,0.3698834,0.37660947,0.38246056,0.38611338,0.38676497,0.3847245,0.38162777,0.37872353,0.3752556,0.3673776,0.35060403,0.3238598,0.29144,0.26058897,0.23467223,0.210874,0.18255442,0.14709814,0.10842506,0.075150385,0.05426793,0.047849953,0.05243516,0.06157573,0.06890761,0.07119415,0.0692675,0.06662354,0.06635582,0.06936138,0.074347384,0.07954559,0.08391348,0.08800549,0.09357188,0.103589624,0.12199066,0.15482783,0.20780212,0.28288358,0.37117347,0.45547128,0.5157067,0.5427602,0.5404807,0.52427024,0.50881666,0.5022431,0.5031316,0.5052076,0.5026447,0.4932551,0.47929502,0.46391845,0.44801775,0.42728767,0.39541805,0.34940746,0.2937802,0.23797674,0.1901306,0.15257849,0.12274185,0.09705385,0.074006565,0.054673266,0.041700985,0.037744652,0.04371473,0.057262596,0.0727838,0.08346089,0.08451406,0.07530636,0.059211656,0.04128265,0.025813064,0.014817357,0.008219306,0.0047427393,0.0030482877,0.0022135507,0.0018813246,0.0020946804,0.0033556642,0.0068800338,0.015436416,0.03409557,0.06990076,0.12794113,0.2064132,0.29314682,0.3708174,0.42493394,0.45159802,0.45525423,0.44364202,0.42273128,0.3968468,0.37017015,0.34664464,0.32987502,0.32170796,0.32246077,0.32993397,0.34047535,0.35025764,0.3565972,0.35788536,0.35256824,0.33912992,0.31636146,0.28403834,0.24362464,0.19868135,0.15503718,0.11834877,0.09194317,0.07508101,0.06455033,0.05707739,0.051040914,0.04647954,0.043155387,0.04004092,0.035291143,0.028436653,0.020478742,0.013545076,0.0088391425,0.0064066187,0.005654758,0.006744098,0.011419043,0.022694843,0.04391995,0.07677718,0.11966915,0.16734923,0.212556,0.24979647,0.2773069,0.297645,0.31464168,0.33180776,0.3506168,0.37109005,0.3917557,0.40969813,0.42022896,0.4169421,0.39459786,0.35220996,0.29580143,0.23557885,0.18173474,0.13985555,0.11078143,0.0925287,0.083678514,0.085547805,0.10191164,0.13531916,0.18262114,0.23338251,0.27480102,0.29818588,0.30368102,0.2981139,0.29106176,0.2908888,0.30235562,0.32479772,0.35039696,0.36779082,0.3678489,0.3506815,0.32423535,0.29920185,0.28147498,0.27149352,0.26603937,0.26261592,0.2607142,0.2626848,0.27245393,0.29334083,0.324707,0.36075887,0.39329794,0.41628227,0.4287509,0.43343154,0.43385527,0.4312216,0.42277727,0.40256217,0.36504814,0.31126508,0.25017622,0.19494714,0.15433675,0.12954096,0.116443954,0.11221805,0.11833182,0.1388256,0.17528641,0.22263594,0.27015844,0.30640268,0.32555124,0.32882372,0.32211694,0.3119575,0.30336544,0.29897782,0.29868367,0.2998962,0.29872656,0.2907689,0.27211657,0.24046133,0.19765623,0.15012576,0.10697466,0.07548316,0.058257822,0.052582163,0.052979562,0.054873496,0.057726648,0.06542462,0.08236271,0.10955914,0.14182536,0.17195582,0.19368249,0.20595342,0.20942819,0.20600156,0.19568543,0.17919476,0.15710872,0.13123621,0.103537194,0.07677441,0.05362451,0.035914343,0.02381291,0.01618647,0.011509282,0.008553515,0.0065756445,0.0051990207,0.0042517325,0.0036195691,0.0032542816,0.0033372578,0.0050707865,0.012031778,0.030897046,0.069166064,0.12853654,0.20052928,0.2674944,0.31396964,0.33340898,0.3313814,0.31669328,0.2981679,0.2805141,0.267127,0.25892726,0.2556232,0.25601783,0.25889456,0.26323485,0.26738462,0.27113342,0.27581045,0.28431606,0.29619244,0.30729353,0.3119832,0.3095,0.3047087,0.30421802,0.31087556,0.32179162,0.33041757,0.32877588,0.3105304,0.2739289,0.22466715,0.17421333,0.13395989,0.10891987,0.09644399,0.09024774,0.08561056,0.0814744,0.07870037,0.077549726,0.07701481,0.07753407,0.084549926,0.108592175,0.15868896,0.23249489,0.31377983,0.38107935,0.42238653,0.4396344,0.443133,0.4399042,0.4321331,0.41864204,0.40116537,0.38224253,0.36562908,0.35224357,0.3423822,0.33528385,0.33230934,0.33542132,0.34494868,0.3559934,0.35889164,0.34405288,0.3078302,0.25673002,0.2059602,0.17399915,0.17338014,0.20548366,0.25984398,0.32150504,0.3763527,0.41738132,0.4430358,0.45732412,0.46396077,0.46594727,0.4636525,0.45764828,0.44860113,0.43705845,0.42269635,0.40450963,0.3822812,0.35636294,0.32769215,0.2969034,0.26507714,0.23394306,0.20633383,0.18554132,0.17502786,0.17726694,0.19316645,0.22123392,0.25847903,0.30081192,0.34351197,0.38049948,0.4054805,0.41409555,0.40686265,0.3888918,0.367602,0.3491259,0.33623794,0.32824886,0.32188988,0.31421593,0.30396882,0.29230866,0.28063646,0.2690886,0.25683668,0.24329449,0.229689,0.2177748,0.20871659,0.20162205,0.1944306,0.18547165,0.17465837,0.16332404,0.15288645,0.14386629,0.13595836,0.12856096,0.121733546,0.115796335,0.11135017,0.10825924,0.10622132,0.10459032,0.103136964,0.10123368,0.09787268,0.09153277,0.08162858,0.06895503,0.055604298,0.043362815,0.03314056,0.024761379,0.01797258,0.012587692,0.0087186275,0.006244562,0.004941467,0.004463053,0.004582277,0.0051133614,0.005861229,0.0066853035,0.007525179,0.008443999,0.009467315,0.010573019,0.011631505,0.012467456,0.012891315,0.01282468,0.012395609,0.011875152,0.011529488,0.011431196,0.011511059,0.011626873,0.011688389,0.011610874,0.01131747,0.010750081,0.009942221,0.009025735,0.00817668,0.0075427815,0.007191598,0.007078744,0.0070958496,0.007134275,0.0071544256,0.007090712,0.006847913,0.0063729356,0.0058161486,0.0053871907,0.0051409677,0.004894767,0.004551072,0.0042614653,0.0043262145,0.004762557,0.0052763694,0.0054685604,0.0052387803,0.0047516827,0.0042960052,0.004332864,0.007423315,0.021546913,0.061117128,0.14044712,0.25945798,0.39744106,0.519605,0.6013147,0.6373522,0.64283186,0.632607,0.61722153,0.59755707,0.5747126,0.54881024,0.52222437,0.49668717,0.47474387,0.45886454,0.4513984,0.45251736,0.459831,0.4680878,0.4716406,0.4650396,0.4440883,0.406391,0.35456872,0.30052197,0.26427507,0.2658476,0.31182566,0.38972703,0.47439942,0.542543,0.5837874,0.60016066,0.5999031,0.5895799,0.5726525,0.5493502,0.5196869,0.4847063,0.44818115,0.41612515,0.39506266,0.3894824,0.39901343,0.41918167,0.44251397,0.46285236,0.47583446,0.48039886,0.4767151,0.46616134,0.45022526,0.43095732,0.40973172,0.38704777,0.36203566,0.33497533,0.30751637,0.2832828,0.26557145,0.25670016,0.25703275,0.26487982,0.2777417,0.2928464,0.30890414,0.32413897,0.33723685,0.34564295,0.34872448,0.3456663,0.33749342,0.3242019,0.30752212,0.28895077,0.2709717,0.254679,0.24016677,0.22653687,0.21299566,0.1998908,0.18816815,0.17882936,0.17176501,0.16605403,0.16050749,0.15427901,0.14726222,0.13979793,0.13251369,0.12555788,0.11873444,0.1114885,0.10356089,0.094997354,0.086324394,0.07833257,0.07174739,0.06675079,0.06263786,0.05807641,0.051826943,0.043560326,0.03424519,0.025663981,0.019399961,0.015877169,0.014291399,0.013398595,0.012442502,0.011418496,0.010715555,0.010567552,0.010945272,0.011590545,0.012285825,0.012843095,0.0131758,0.0131800445,0.012843989,0.012242339,0.011595644,0.011107814,0.010917521,0.011003289,0.0112681575,0.011546752,0.011706852,0.01164681,0.011337657,0.0108233765,0.0102220215,0.009701117,0.0093594445,0.009213296,0.009161689,0.00912381,0.009039809,0.008912501,0.008746922,0.0085702455,0.00848017,0.008656751,0.009309485,0.010491547,0.011942708,0.013122215,0.013436328,0.012639303,0.010946981,0.008966589,0.007276401,0.0061713518,0.005560149,0.005188539,0.004868038,0.0045507513,0.004241699,0.0039085164,0.0038489115,0.006598996,0.018501997,0.049402907,0.10486237,0.17952563,0.25428233,0.3075153,0.3247956,0.30544078,0.25794423,0.19596075,0.13390973,0.08320782,0.04925512,0.031201633,0.025834309,0.030263042,0.04183509,0.057064027,0.07183955,0.08375916,0.09251689,0.09927686,0.10549659,0.11386415,0.12926817,0.15746494,0.2021174,0.26210415,0.3335644,0.41169772,0.49365082,0.5748854,0.64916235,0.7073336,0.7441414,0.7602202,0.76127464,0.75046086,0.72450346,0.6774995,0.6085953,0.5262092,0.44460356,0.37625536,0.32675335,0.2924057,0.26418307,0.23225063,0.19283967,0.14957248,0.11142736,0.08601902,0.075392745,0.07554514,0.08031133,0.08528484,0.08916863,0.09260128,0.095876284,0.09837983,0.099067815,0.09790782,0.09580096,0.093981974,0.092960306,0.09265528,0.09265336,0.092490725,0.091519825,0.08908381,0.085053734,0.07991884,0.07464495,0.07012562,0.06728489,0.06684628,0.06871527,0.07141628,0.07280352,0.07370251,0.08076597,0.10620024,0.15953423,0.23986547,0.33280274,0.4192847,0.48487857,0.525736,0.54513866,0.5493483,0.54406,0.5329116,0.51586336,0.4876381,0.44182155,0.3766586,0.30117327,0.2305262,0.17796884,0.14724457,0.13485332,0.13595249,0.14898317,0.17569695,0.21765304,0.27273664,0.33246827,0.3851085,0.42064807,0.43685997,0.43754828,0.4307985,0.42379603,0.42324817,0.4310312,0.44493434,0.45803165,0.4641918,0.45967188,0.44460216,0.4214288,0.39509118,0.3713087,0.35493347,0.34682468,0.34462205,0.34404695,0.34211528,0.33688995,0.32726705,0.31256172,0.29437187,0.27778944,0.2701466,0.27705756,0.29924625,0.33165345,0.36633697,0.39626753,0.41945842,0.43915275,0.46057078,0.48662725,0.51699156,0.55001384,0.5833428,0.6127836,0.63171464,0.63460445,0.6206169,0.59469265,0.5644018,0.5355056,0.51047,0.4885923,0.47028556,0.45810106,0.45603433,0.46511087,0.48095855,0.49771264,0.51153713,0.5229211,0.5295474,0.52287644,0.4905342,0.42716303,0.34235406,0.25630426,0.18912554,0.14876628,0.13078257,0.12275653,0.11360854,0.09794092,0.07704616,0.05548972,0.037256937,0.024399744,0.017463828,0.01712002,0.023661977,0.037502814,0.05984657,0.0943405,0.14325307,0.20285685,0.2605814,0.30307832,0.32404724,0.32871035,0.32608593,0.32293895,0.31920686,0.3118215,0.29658818,0.27170813,0.23736624,0.19667293,0.15377498,0.11331132,0.07874286,0.052235033,0.034481388,0.025305865,0.024294795,0.029878562,0.039645333,0.051026475,0.06612717,0.09130748,0.1338616,0.19256306,0.25702953,0.3126017,0.35101616,0.3727657,0.38380325,0.3892802,0.39143255,0.39091685,0.38824356,0.38442373,0.3803428,0.37594676,0.36974216,0.35883403,0.34054157,0.31363216,0.27870762,0.23804206,0.19481653,0.15352397,0.11840853,0.09287842,0.07749009,0.0705565,0.06935039,0.07356039,0.08685473,0.11491392,0.15921812,0.21288018,0.26163816,0.29178414,0.29606152,0.2771923,0.24370082,0.20620908,0.17165215,0.14286448,0.119006336,0.09899449,0.08263363,0.071088515,0.06577469,0.067516334,0.07559238,0.088125534,0.10294024,0.119338654,0.13744004,0.15776896,0.17935163,0.2008698,0.22076146,0.23826008,0.2526437,0.26317406,0.26954564,0.2722523,0.27238503,0.27063033,0.2670691,0.26219583,0.25768766,0.255313,0.25547054,0.25605324,0.2553517,0.2528042,0.25048107,0.24959886,0.25038,0.25094676,0.2499593,0.24707909,0.24340402,0.23997752,0.23682861,0.23310779,0.22802655,0.2218963,0.21564738,0.20979111,0.20360895,0.19583721,0.18597613,0.17490602,0.1641901,0.15483867,0.14677726,0.13923347,0.13145733,0.12309682,0.11421303,0.105199926,0.09663918,0.08909089,0.082715996,0.077116236,0.0714421,0.06490623,0.057419896,0.049779713,0.043371696,0.03916792,0.037306294,0.036834907,0.036413286,0.034603134,0.030728934,0.025120014,0.019391844,0.015475866,0.014507949,0.015931481,0.017974466,0.018941646,0.018205106,0.016258178,0.013913228,0.011738312,0.009849164,0.0081366785,0.006445711,0.004745202,0.0031560233,0.0018718117,0.0010135003,0.0005541295,0.00036840455,0.0003201342,0.00032242166,0.00033366156,0.00034244414,0.00034648422,0.00034715116,0.00034473045,0.0003405756,0.0003365431,0.00033325763,0.0003264846,0.00030688356,0.00026617877,0.00020498158,0.00013602832,7.605082E-05,3.5907055E-05,1.49855005E-05,6.3965995E-06,3.0249955E-06,1.4413749E-06,5.4985986E-07,1.5605829E-07,2.8786948E-08,2.5228895E-09,1.679483E-11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3.3598013E-13,9.3275145E-11,6.136982E-09,1.3378153E-07,8.915161E-06,5.255062E-05,0.00018181097,0.00043673185,0.00081717974,0.0012609364,0.0017148542,0.0021628414,0.0026673137,0.0032815326,0.004035672,0.0048312345,0.0054927245,0.006573507,0.01123966,0.027014485,0.06415497,0.12907524,0.21831103,0.3172764,0.40988138,0.48370466,0.53372234,0.5521564,0.5333818,0.47754762,0.4054846,0.3481607,0.3321444,0.35979033,0.41170266,0.4615921,0.49248955,0.5051625,0.51257294,0.5307119,0.5669871,0.6171419,0.66865534,0.7092948,0.73140764,0.73474604,0.721777,0.6982836,0.66724616,0.63144165,0.58970416,0.5402516,0.47996378,0.40725687,0.32497758,0.24067421,0.16542368,0.10718393,0.068421744,0.0453783,0.032460533,0.024880702,0.020069957,0.016945241,0.015148987,0.014705409,0.016562445,0.024252752,0.04526199,0.08990508,0.16535689,0.26886764,0.3849102,0.4914752,0.56991595,0.6127054,0.6235768,0.6125839,0.5909769,0.56725377,0.5467811,0.5306838,0.517053,0.5011259,0.47728708,0.44131818,0.3920984,0.33360532,0.27233395,0.21602702,0.16914856,0.13374306,0.10861793,0.09199115,0.08145801,0.07525656,0.07216621,0.07154334,0.07296229,0.07562029,0.078566484,0.080852285,0.082343526,0.08341051,0.08460092,0.08514324,0.083063506,0.07586133,0.063097976,0.046890672,0.03110522,0.018658606,0.0104861595,0.0058063697,0.0035164042,0.0031588618,0.0052403766,0.010811694,0.020191697,0.032090694,0.04353034,0.05153704,0.05441923,0.05260243,0.047768544,0.04244749,0.040112335,0.046030615,0.066599645,0.10573748,0.16090627,0.22228928,0.2779354,0.319618,0.3456986,0.35861948,0.3620839,0.35929397,0.3536264,0.34811327,0.3452119,0.34516242,0.34688926,0.3488464,0.35151532,0.3570635,0.36758325,0.38240504,0.39744505,0.40810403,0.41190648,0.410853,0.40889594,0.4102262,0.41590086,0.42469868,0.43363145,0.44101813,0.44699383,0.45419744,0.4666327,0.490155,0.5302973,0.5876615,0.6513198,0.6978634,0.70282835,0.65424013,0.5635065,0.4545314,0.3531679,0.27072585,0.20857382,0.15932487,0.11868629,0.085080475,0.06187092,0.05234456,0.05755636,0.07634633,0.10651056,0.14833514,0.2000684,0.2555851,0.3018316,0.32746115,0.32978377,0.31621996,0.2972914,0.279275,0.26347572,0.24866779,0.23452424,0.22160788,0.2113527,0.20526086,0.20464672,0.20909481,0.21591718,0.2210698,0.2212628,0.21537991,0.2032826,0.18531089,0.16143136,0.13306354,0.10260656,0.073793836,0.049553227,0.031663958,0.019822743,0.012715976,0.008609413,0.0063013234,0.0050879586,0.0046691387,0.004904436,0.0058598067,0.007842772,0.01132134,0.017036999,0.026249222,0.04099649,0.062363446,0.08896684,0.11579474,0.13801973,0.15348296,0.16538341,0.17858039,0.19819437,0.22619946,0.26275322,0.3051398,0.34991133,0.3926585,0.43022215,0.45951805,0.47891045,0.4861424,0.4810909,0.46373722,0.43741104,0.40539253,0.3729231,0.34335196,0.31926563,0.30086413,0.28733775,0.2775648,0.27028927,0.2648958,0.2609987,0.2585161,0.25781158,0.25843158,0.26109383,0.26500058,0.27105784,0.27711204,0.28197923,0.2804955,0.27002332,0.24770005,0.21679318,0.18174694,0.14921507,0.12232688,0.10174662,0.08505964,0.06987488,0.05511057,0.041631177,0.031980958,0.02977328,0.039861053,0.06545976,0.10601064,0.15397531,0.19913109,0.23227783,0.25125095,0.2593942,0.26349017,0.27036437,0.28568342,0.31561008,0.3647329,0.43582413,0.5238509,0.61718464,0.6984883,0.7531931,0.77502483,0.76897067,0.7480034,0.72532916,0.7085967,0.69671124,0.6819257,0.6534025,0.6006809,0.519713,0.41524088,0.30290774,0.2004868,0.12162137,0.069087036,0.039125293,0.025240013,0.022858635,0.028496698,0.03888006,0.049982693,0.05785787,0.05988933,0.055503543,0.04622464,0.03460889,0.023374632,0.01436166,0.008640663,0.006733399,0.008959412,0.014938268,0.02314003,0.03122189,0.03768299,0.043697823,0.053819716,0.07417304,0.10883528,0.15700161,0.2132806,0.27158144,0.32777545,0.37955102,0.42317435,0.45278928,0.46284738,0.45213306,0.4253012,0.3904244,0.35521552,0.32384613,0.2969807,0.27292168,0.2498834,0.22699694,0.20503052,0.18539077,0.16925031,0.15658183,0.14671905,0.13891385,0.13310331,0.12947726,0.12855957,0.13046934,0.13535865,0.14267968,0.152281,0.16425441,0.17958851,0.1983459,0.21881942,0.2375385,0.25124475,0.25880513,0.26102307,0.25961372,0.2555902,0.24947096,0.2416888,0.23329704,0.22547899,0.21930407,0.21469383,0.2110204,0.20689052,0.20220566,0.19726114,0.19293006,0.18848003,0.18305403,0.17608814,0.1687681,0.16298033,0.16041549,0.16164051,0.1653163,0.16943377,0.17201428,0.17349367,0.17513019,0.17830132,0.18168469,0.18246698,0.17695875,0.16305058,0.14089496,0.11369487,0.0868074,0.06562932,0.053191677,0.049115602,0.050782774,0.055037975,0.059025858,0.060278565,0.056895275,0.04863949,0.03719861,0.02555803,0.016134782,0.009928909,0.00653181,0.005112598,0.004945862,0.005611692,0.006824851,0.00836489,0.00999838,0.011492734,0.012618881,0.01324995,0.013376369,0.0130939325,0.012510377,0.011717874,0.010802877,0.009884074,0.009102716,0.008597688,0.008426108,0.008513648,0.008639,0.008518633,0.007991903,0.007103601,0.0062139,0.0058989474,0.006951368,0.010114833,0.015753895,0.023411082,0.031748306,0.03906227,0.04419743,0.04717472,0.04908204,0.05121851,0.05414048,0.057162274,0.059281785,0.061559472,0.069572136,0.092319034,0.13635282,0.19963507,0.27092892,0.33740923,0.39155057,0.43362555,0.46668902,0.49293008,0.51157147,0.5200188,0.51574063,0.49880803,0.47443295,0.4520085,0.44086686,0.44383785,0.4553655,0.46522403,0.46642867,0.45789817,0.44230258,0.42116916,0.39524743,0.36748812,0.34463033,0.33474025,0.34153056,0.36105132,0.38237822,0.393607,0.38831946,0.36749986,0.33652532,0.30011848,0.26054168,0.21900475,0.17759494,0.14000793,0.109653115,0.0885585,0.076132536,0.06984102,0.06569699,0.05990061,0.050418492,0.037931953,0.025225027,0.015333005,0.010172698,0.010306585,0.015832288,0.02730234,0.045604557,0.0704709,0.098712124,0.124236204,0.14114161,0.14705144,0.14472765,0.13932054,0.13538313,0.134259,0.13497925,0.13568603,0.1354136,0.1344844,0.13429274,0.13737325,0.1469356,0.16615587,0.1956557,0.23252247,0.27004,0.30138567,0.3217007,0.3314025,0.3341218,0.33666706,0.34444833,0.36088035,0.38285336,0.4029909,0.4117019,0.40533683,0.3870971,0.3652897,0.34628308,0.3334627,0.32917,0.33667183,0.35825202,0.39044192,0.42529786,0.45338938,0.47042832,0.47545877,0.46943435,0.44937265,0.4109093,0.3503832,0.27224678,0.18830557,0.11450351,0.06137901,0.030696318,0.016482234,0.011535537,0.012589988,0.022410063,0.049025804,0.099261634,0.17340197,0.2604417,0.34471777,0.41166446,0.4556675,0.47743487,0.48376468,0.48194543,0.47941104,0.47987905,0.48447147,0.4915153,0.49853244,0.5038314,0.50708956,0.5094603,0.5109785,0.51027745,0.50439256,0.49120083,0.4696184,0.4399935,0.40221262,0.3562832,0.30262175,0.2447943,0.18868774,0.14119853,0.10644487,0.08486238,0.07352701,0.068536006,0.06810135,0.07475916,0.09564483,0.13742566,0.19974454,0.27111197,0.3333921,0.3716881,0.38263273,0.37431112,0.35906455,0.34603474,0.3389375,0.33899167,0.3468919,0.36273047,0.38252863,0.39962062,0.406505,0.39991912,0.3801783,0.35026523,0.31364107,0.2744174,0.23759906,0.20682283,0.18308677,0.16399293,0.14734972,0.13243438,0.1208663,0.11368609,0.11104322,0.11118543,0.11260236,0.11379696,0.11481529,0.116223596,0.12039653,0.13082437,0.15205868,0.18656333,0.23257387,0.2836387,0.3318155,0.371518,0.40093684,0.42185107,0.43715942,0.4503589,0.46178892,0.46950033,0.4686341,0.45787498,0.4386077,0.41525826,0.38977182,0.36399305,0.34118542,0.32788467,0.3289847,0.34281003,0.36058292,0.37124726,0.36813536,0.35071996,0.3235055,0.2913822,0.25797012,0.2242133,0.19060545,0.15811275,0.1291353,0.10597148,0.089571446,0.07905265,0.0728741,0.070093356,0.071490146,0.07902614,0.09526137,0.121431746,0.1571164,0.2000468,0.24751043,0.2970766,0.34601846,0.3899332,0.42107868,0.4317493,0.41934642,0.3921896,0.36536145,0.35194504,0.35270068,0.35720155,0.35057244,0.32400444,0.27844998,0.22564405,0.1828631,0.16610265,0.18204983,0.22547257,0.28381324,0.34443286,0.40022624,0.44960463,0.4942211,0.53635216,0.57613784,0.61095756,0.6338001,0.6360876,0.60902077,0.5507452,0.46872437,0.38165113,0.30905095,0.2631339,0.24217014,0.2370467,0.23752524,0.23785727,0.23537332,0.22976804,0.2218049,0.21343632,0.20644827,0.2022739,0.20200676,0.20755409,0.22093594,0.24310362,0.27215856,0.30374894,0.3324056,0.35358346,0.36480412,0.3659095,0.35844874,0.3444772,0.32584438,0.3041952,0.2817857,0.26166147,0.24680917,0.23850673,0.23545317,0.23456465,0.23281975,0.22895013,0.22376789,0.21948092,0.21807736,0.21928568,0.21956205,0.21328516,0.19717227,0.17384331,0.15233941,0.14336054,0.15296239,0.17922896,0.21279041,0.24337225,0.26317582,0.27142823,0.2702539,0.26447764,0.25683138,0.2496496,0.24382468,0.23999067,0.238913,0.24066113,0.24619353,0.25507262,0.26693138,0.27942368,0.28946346,0.29274094,0.28411135,0.2600885,0.22005236,0.16959314,0.11734163,0.072767265,0.04069698,0.02138132,0.01140254,0.006949033,0.0051723053,0.0045281257,0.0043148776,0.0042240736,0.004160006,0.0040945597,0.0040341173,0.003997152,0.0039888765,0.0039842622,0.003958746,0.003941034,0.004001646,0.004158197,0.0043110107,0.00430071,0.0040148916,0.0036948782,0.0041416786,0.0067909653,0.012662329,0.02124077,0.029831937,0.035282876,0.03643639,0.036410585,0.042060543,0.06090367,0.0951579,0.13802887,0.17458172,0.19066542,0.18068743,0.1509805,0.113288075,0.07822489,0.05075005,0.031643275,0.019446278,0.012401886,0.00931652,0.010379246,0.017077506,0.030729359,0.05033183,0.07188613,0.08975319,0.099661075,0.1004259,0.09413129,0.08417054,0.07357835,0.06400635,0.05626096,0.05176616,0.054113988,0.0692663,0.10222026,0.15221559,0.20993797,0.261862,0.2975632,0.31497228,0.31800547,0.31167665,0.29867923,0.2799972,0.25579676,0.22552001,0.18827462,0.14496106,0.10016558,0.060940877,0.032834202,0.01684545,0.009835602,0.007495403,0.006755129,0.006440021,0.006716136,0.009678226,0.020152371,0.046583638,0.096351266,0.17154612,0.26331758,0.35711753,0.43649307,0.4924797,0.52191645,0.5292867,0.5204627,0.50457686,0.48951098,0.48268917,0.4854418,0.49586296,0.5096993,0.5245693,0.53650206,0.5394469,0.52724403,0.4990853,0.46029833,0.41658857,0.37011108,0.31892264,0.2631095,0.20606364,0.15441199,0.1130988,0.08423274,0.066499196,0.057490457,0.055510554,0.061642777,0.07974023,0.11392429,0.16317376,0.21854232,0.2655747,0.292936,0.2986494,0.28994954,0.2769852,0.26744124,0.26556,0.27318856,0.2897229,0.3112178,0.3311273,0.34426174,0.34872314,0.34619537,0.33755147,0.32206747,0.29656163,0.2596478,0.21270199,0.16170603,0.11382862,0.07520405,0.04774872,0.030211205,0.019634275,0.013715045,0.0110859675,0.011229622,0.014121062,0.020523049,0.031939726,0.049502153,0.07249516,0.09779897,0.12222066,0.14485724,0.16887617,0.19856979,0.23716526,0.28272852,0.3301763,0.3712372,0.40020552,0.41359314,0.413614,0.4042047,0.39115486,0.37780377,0.365985,0.35507396,0.34423175,0.33254585,0.32037446,0.30796137,0.29481956,0.2782931,0.2557128,0.22615708,0.19201571,0.15753256,0.12693651,0.10324305,0.08769537,0.08030676,0.07997147,0.0857023,0.09684488,0.11353874,0.13592993,0.16410673,0.19744335,0.23462594,0.27215335,0.30521956,0.32801703,0.337726,0.33392963,0.31977144,0.29902396,0.2770449,0.25818563,0.24400319,0.23121779,0.21380638,0.18821073,0.15660189,0.12709822,0.10943946,0.11064178,0.13154556,0.16619347,0.20446588,0.2364244,0.25702333,0.26705322,0.27097943,0.27286962,0.27441254,0.27476168,0.2719209,0.26312354,0.2467773,0.22308677,0.19571559,0.16884576,0.14567053,0.12568913,0.10691207,0.08725956,0.06706988,0.04862782,0.035215948,0.029015636,0.029954797,0.035651725,0.042768706,0.048599478,0.052158386,0.05391716,0.054981176,0.055897042,0.05617683,0.05439626,0.04920036,0.04046629,0.029723488,0.019407554,0.011409957,0.006360714,0.0038721636,0.0034171462,0.004651794,0.00774709,0.014429259,0.02938872,0.059703995,0.109801315,0.17700386,0.2508417,0.31993815,0.37629446,0.41627356,0.43692768,0.43697432,0.4193851,0.3926024,0.36667442,0.34827173,0.33924115,0.3377758,0.3408771,0.34423438,0.34336174,0.33411264,0.31551766,0.28956532,0.26057726,0.23220718,0.20653816,0.18392439,0.16426155,0.1474313,0.13309412,0.12006861,0.106430806,0.09050375,0.07225648,0.053622175,0.03748384,0.025801202,0.018712176,0.014899808,0.012814929,0.011415933,0.010287609,0.009320289,0.0085596675,0.008128156,0.008554441,0.011601999,0.021075604,0.041971277,0.076378964,0.119858526,0.16134812,0.19006634,0.20121002,0.1980355,0.18666907,0.17244971,0.15777184,0.14376569,0.13082306,0.11959583,0.11027613,0.10280474,0.09590849,0.08869039,0.080716886,0.07307834,0.06631454,0.060366485,0.05429877,0.04762299,0.040240977,0.03222626,0.024054384,0.016777577,0.011870087,0.00988087,0.009983164,0.010445177,0.010004572,0.008527753,0.006709691,0.0052737948,0.0044538416,0.0041183755,0.004083527,0.004322577,0.0048755943,0.0057485173,0.0068631,0.008085355,0.009279166,0.010354229,0.01129169,0.012065849,0.012586345,0.01273301,0.0125079,0.012107387,0.011801981,0.011754148,0.011922671,0.012165334,0.01236083,0.012451764,0.012418614,0.012214177,0.0118367635,0.01130931,0.010748618,0.010239754,0.009877895,0.009663031,0.009563579,0.00945952,0.0092570195,0.0089188935,0.008504688,0.008113907,0.0078170635,0.0076585724,0.007628728,0.007682111,0.0076927524,0.0075050443,0.0070253746,0.006319685,0.0056317137,0.005219346,0.0052071516,0.005482929,0.0058299988,0.006045478,0.006063713,0.005902137,0.005647724,0.005369849,0.005150617,0.005030757,0.0050287633,0.005091027,0.0052089603,0.006139009,0.010939415,0.026120929,0.05965659,0.114289485,0.1810966,0.23957044,0.2688146,0.2598527,0.2209921,0.16962616,0.12140018,0.08330598,0.055667486,0.036298748,0.023427047,0.015880203,0.01266501,0.012964372,0.016119575,0.021622749,0.028852662,0.037174013,0.04625831,0.05737855,0.07445107,0.10367771,0.14952752,0.21072169,0.27883247,0.34312084,0.39547396,0.4339786,0.4608673,0.48202586,0.50368,0.5320044,0.56686753,0.6020174,0.6248773,0.62672096,0.6054129,0.56721896,0.5168728,0.4564457,0.38447702,0.30475658,0.22475202,0.15499283,0.10206085,0.068804465,0.05346741,0.05298297,0.06523299,0.092103004,0.13852389,0.2091331,0.3026664,0.41005835,0.5144047,0.59731585,0.64506805,0.6555844,0.63612914,0.5977525,0.5470431,0.48597053,0.4144605,0.3355362,0.25523734,0.18148501,0.12034577,0.07472926,0.04373664,0.024464974,0.013508379,0.008033385,0.0059842016,0.0061316863,0.008217725,0.012273985,0.017816892,0.023212472,0.026917808,0.028765207,0.03095586,0.036961403,0.05026573,0.072833814,0.104411155,0.14292566,0.1854106,0.23046263,0.27724886,0.3254232,0.37056708,0.40613174,0.42258778,0.41390124,0.3777019,0.3195166,0.2495342,0.18127052,0.1253506,0.08721038,0.06584902,0.05676517,0.05456467,0.055242613,0.056355227,0.056365233,0.05395728,0.04814883,0.039312094,0.029115872,0.019824287,0.012852403,0.008784153,0.007926175,0.01081192,0.017544672,0.026814923,0.0358566,0.04184635,0.04380766,0.0434714,0.044132967,0.048449274,0.05668689,0.06693805,0.07691797,0.086066276,0.09625304,0.110789336,0.13200705,0.15973288,0.1908895,0.22197302,0.2501446,0.27441266,0.2932502,0.3054031,0.3095288,0.3075024,0.3036294,0.3051946,0.31809607,0.3446064,0.37998948,0.41591457,0.44412318,0.4611555,0.46639577,0.45895562,0.43456614,0.38780618,0.31827652,0.23500271,0.15547374,0.09565491,0.061997484,0.048785586,0.045855343,0.045548424,0.04601557,0.048200116,0.052708864,0.058582146,0.06415612,0.068187505,0.0702318,0.07049655,0.0700588,0.07111142,0.07789311,0.09561666,0.1292289,0.17967518,0.24338794,0.31192836,0.37638354,0.43019804,0.47156087,0.5027677,0.5262046,0.54448074,0.5574396,0.5673005,0.57513076,0.58334965,0.59010607,0.5906581,0.5779273,0.5478142,0.5041868,0.45831618,0.4243045,0.4106642,0.41670504,0.43440387,0.453406,0.46637368,0.47050586,0.46802998,0.46400797,0.46338725,0.46851158,0.4774067,0.48615685,0.49074826,0.49040523,0.48595843,0.47868595,0.46822667,0.45476928,0.43923274,0.4231318,0.40555343,0.38444272,0.35685372,0.32170936,0.27872416,0.23048317,0.18130064,0.13688181,0.10114942,0.0756772,0.060041327,0.052589912,0.050461333,0.04951733,0.046130326,0.03911322,0.030915337,0.026461655,0.031102538,0.048020273,0.07671075,0.112364925,0.14792193,0.17620187,0.1925304,0.19458319,0.18272837,0.15915473,0.1282015,0.095172055,0.065300845,0.042121697,0.027112288,0.020696742,0.02412194,0.040654287,0.07302073,0.12005901,0.17370002,0.22250946,0.25537142,0.26597044,0.2523833,0.21807002,0.17105795,0.122170754,0.08064111,0.050689846,0.031818494,0.020961637,0.015041538,0.011784087,0.01030665,0.011029384,0.014844641,0.02149369,0.028725253,0.033411656,0.033928115,0.031302642,0.028258726,0.027045963,0.028316602,0.031395886,0.035089713,0.038348094,0.04042152,0.04139727,0.042703513,0.047801394,0.0619453,0.09006021,0.13388453,0.18955033,0.24975304,0.30705205,0.35796592,0.4021549,0.44124952,0.4763638,0.50807166,0.5356584,0.5573185,0.57052845,0.57301897,0.5620033,0.5324809,0.47843775,0.4000528,0.31179628,0.24129279,0.21595491,0.24530275,0.31461272,0.39294943,0.45164344,0.47708294,0.47372302,0.45546913,0.43586922,0.42190894,0.4141681,0.41049078,0.40871155,0.40762076,0.40566048,0.40072682,0.39097998,0.37596473,0.35563502,0.3288289,0.29317322,0.24788785,0.1957881,0.14319792,0.09760509,0.06545555,0.049797636,0.04899663,0.057496727,0.07038858,0.086992115,0.11106589,0.14558,0.18774958,0.22845872,0.25700966,0.26817536,0.26445237,0.25335246,0.24095102,0.22866052,0.21418174,0.19481619,0.17032552,0.14284495,0.11608375,0.092884906,0.07435994,0.059612785,0.047371153,0.03703996,0.028867887,0.023117458,0.019489028,0.017259553,0.01572336,0.014512271,0.013532593,0.012826371,0.012351207,0.011980206,0.011508866,0.010839593,0.00998669,0.009078305,0.008214438,0.0074503147,0.006773498,0.0061547556,0.005560932,0.005056346,0.0049213986,0.0063373274,0.012604858,0.02990636,0.06563074,0.122627646,0.19547077,0.26968014,0.3313256,0.37147763,0.39237413,0.39895642,0.39936793,0.3966355,0.39453396,0.3920181,0.39004365,0.38670996,0.38327453,0.37937865,0.3766437,0.37530485,0.37618792,0.37907842,0.38327214,0.38817263,0.39339355,0.39874068,0.40244946,0.40114155,0.39106357,0.37170002,0.34865272,0.33269885,0.33347678,0.35095856,0.37225723,0.3771793,0.35077786,0.29254547,0.21672046,0.14283442,0.08547998,0.049253833,0.030868707,0.023962112,0.022951571,0.024512917,0.027363768,0.03132687,0.03610195,0.04078273,0.043978345,0.044943314,0.043865208,0.041900724,0.0404144,0.041317914,0.047569845,0.063123666,0.09102374,0.13075037,0.17775226,0.22525556,0.26777866,0.3013058,0.32334232,0.3318088,0.3283992,0.3194678,0.31453133,0.31978002,0.33334872,0.34652913,0.34887084,0.3338118,0.30023167,0.2529996,0.202437,0.1624517,0.14548032,0.15725626,0.19370766,0.24428761,0.29624602,0.34152973,0.3767799,0.4038444,0.42437866,0.439945,0.45022783,0.45544556,0.45574132,0.4503144,0.436628,0.4102671,0.36983323,0.31833518,0.264489,0.21579371,0.17611752,0.143755,0.11658732,0.09338028,0.07463823,0.059938777,0.048095416,0.037676282,0.02839218,0.020712832,0.0151292,0.01149569,0.009265591,0.0079998085,0.0076560974,0.008462467,0.010992746,0.017535508,0.034586806,0.0726999,0.1407012,0.23506655,0.3365468,0.41705272,0.45653546,0.44999155,0.40656504,0.33895442,0.26065692,0.18364288,0.118731864,0.07164252,0.04212518,0.025612265,0.01690708,0.0122845685,0.009580657,0.007722489,0.006265667,0.0053700353,0.0056869965,0.008586549,0.016250692,0.031396184,0.05664975,0.09221507,0.13528614,0.17891526,0.21645187,0.24290828,0.2588955,0.2680097,0.27663764,0.28996968,0.31045708,0.33574438,0.35973337,0.37564301,0.37953505,0.3722299,0.35825202,0.34299734,0.32994354,0.31968758,0.31081137,0.3014983,0.28995547,0.27420148,0.2519118,0.22222687,0.18716943,0.15156095,0.12005075,0.09490346,0.075787686,0.06194292,0.053600073,0.051555082,0.055874754,0.064887375,0.07625564,0.08786877,0.09942424,0.11157902,0.12554933,0.14151196,0.1588766,0.17591886,0.19064943,0.20118524,0.20756583,0.21114452,0.21377619,0.21482617,0.21258874,0.20562266,0.19558907,0.1854759,0.17780346,0.17280929,0.16937746,0.16654776,0.16426802,0.16269405,0.1610473,0.1572545,0.14956558,0.13778546,0.1240007,0.110441834,0.09835708,0.08682254,0.074628286,0.06123242,0.048041184,0.036988378,0.0293032,0.024472393,0.020943327,0.01743883,0.013654592,0.010172469,0.007586473,0.0060172607,0.0051100818,0.0045510326,0.0044903257,0.005530263,0.00839479,0.013516354,0.020844275,0.029798651,0.039448794,0.04872468,0.056723148,0.06295912,0.06739508,0.070358336,0.072196044,0.073227644,0.07348659,0.072749175,0.070386715,0.065787636,0.05870397,0.04963706,0.03961909,0.029890118,0.021430904,0.0147601515,0.009864879,0.0064043314,0.0039790305,0.0023154402,0.001262761,0.0006870227,0.000432401,0.0003460228,0.0003270957,0.00032788015,0.00033306508,0.00033885098,0.00034371743,0.0003470235,0.00034778545,0.00034420216,0.00033175945,0.00030381884,0.00025618877,0.00019246951,0.00012524333,6.877757E-05,3.142303E-05,1.1877145E-05,3.9100114E-06,1.1789976E-06,3.4570914E-07,7.231014E-08,1.1957219E-08,2.8006513E-09,6.4511463E-10,8.0351704E-11,2.029257E-12,4.4817996E-15,0,0,0,0,0,0,0,0,0,0,0,0,0,2.1544938E-12,9.1452473E-10,2.978181E-08,1.9908674E-07,9.664868E-06,5.5755056E-05,0.00018613185,0.0004328147,0.00078926113,0.0012150477,0.0017059682,0.002299432,0.0030668902,0.0040211384,0.005116846,0.006141445,0.006776428,0.006698581,0.00599831,0.0053741024,0.0070966035,0.016219983,0.042144638,0.09489548,0.17794096,0.2785549,0.37025425,0.42341116,0.42373374,0.37710395,0.30535862,0.23027276,0.16579032,0.11530006,0.07775066,0.050907344,0.033391804,0.02412998,0.022425415,0.027996808,0.040027414,0.056713343,0.0748425,0.091380686,0.103852,0.111255474,0.112888046,0.10895085,0.100078516,0.088576764,0.07792511,0.074071944,0.08566785,0.12317816,0.19355293,0.29346558,0.40757665,0.51394624,0.59469694,0.6416225,0.65715456,0.65003556,0.6327421,0.6170593,0.61008745,0.6108404,0.6115189,0.6028515,0.57881975,0.5398069,0.49107346,0.44030485,0.39340034,0.35280463,0.3181288,0.28795686,0.26090017,0.23475103,0.20671721,0.17472564,0.13962874,0.10548246,0.07751529,0.059242506,0.050892282,0.050126936,0.053768095,0.05915593,0.06450457,0.068799466,0.07156002,0.07283474,0.07298335,0.07243555,0.071415454,0.071559556,0.07961895,0.11070142,0.18430042,0.3105388,0.47524023,0.63830835,0.7538638,0.79675704,0.7766743,0.7255785,0.6753738,0.64070064,0.6206437,0.60757035,0.59573025,0.58216447,0.5649488,0.54178,0.5095864,0.46567836,0.4083834,0.3400179,0.26751435,0.2012129,0.14947419,0.11465039,0.09275902,0.07712054,0.06273064,0.047982823,0.033929322,0.022299109,0.014132946,0.009643474,0.009607032,0.017438855,0.04051964,0.08602934,0.15393925,0.23033969,0.29266536,0.32126057,0.31220102,0.2765044,0.23141032,0.18863738,0.15151249,0.11821767,0.08757528,0.060917974,0.040443417,0.026876463,0.018939987,0.014625773,0.012328096,0.011181953,0.010758706,0.01079642,0.011105682,0.011505507,0.011869036,0.012198773,0.013229678,0.017003791,0.027497359,0.049246162,0.08576558,0.13692784,0.19939725,0.26667404,0.33158204,0.38729012,0.43047023,0.46187642,0.48586646,0.5066739,0.5264353,0.54459065,0.56029755,0.57370144,0.58694094,0.6024141,0.6212478,0.64201635,0.6620014,0.67951125,0.6944201,0.7065334,0.71359235,0.7120514,0.6992256,0.67220443,0.62602496,0.5541714,0.45621145,0.34284592,0.2334219,0.14504553,0.08459424,0.048493396,0.028966146,0.019524375,0.017082179,0.020315304,0.027773067,0.03658529,0.043953165,0.048586786,0.051969126,0.057068486,0.06727087,0.08481044,0.110373534,0.14237946,0.17791879,0.21498115,0.2542385,0.29848555,0.3473111,0.39557508,0.43389305,0.45730194,0.46684802,0.47011888,0.47330347,0.47884166,0.48401105,0.48491454,0.47958672,0.46884713,0.45529974,0.44006062,0.42285514,0.40170005,0.37535882,0.3440188,0.31063557,0.28018233,0.2565442,0.23996842,0.22574799,0.208205,0.18356442,0.15260887,0.11891001,0.08746427,0.062508054,0.04656588,0.04013715,0.042872857,0.05553122,0.07990738,0.11654393,0.1621726,0.20979159,0.25190198,0.28305015,0.30170035,0.30896103,0.3077774,0.30044997,0.28796536,0.26975834,0.2456956,0.21785402,0.19095828,0.17031996,0.1587022,0.15497853,0.15524448,0.15614796,0.15663467,0.15869881,0.16473632,0.17609692,0.19079655,0.20533347,0.21541649,0.21863222,0.21362786,0.20049809,0.17966987,0.15274312,0.122390896,0.09214687,0.065385506,0.044374436,0.030167932,0.022621954,0.020759732,0.022637129,0.025844743,0.028129382,0.029009545,0.030781275,0.039481964,0.062873445,0.10672349,0.169614,0.24230842,0.31226262,0.3704274,0.4141464,0.4436359,0.45798847,0.45452523,0.43300128,0.39840487,0.3588271,0.32075334,0.28563035,0.2518155,0.21795875,0.18495972,0.15521975,0.13012685,0.11002561,0.09389671,0.081112266,0.07092189,0.062966526,0.056533795,0.050690368,0.044549156,0.037953984,0.032003146,0.028344432,0.027939102,0.030232936,0.03363426,0.036998764,0.04024917,0.044091765,0.04860918,0.05316229,0.056636795,0.058669563,0.05936108,0.05922536,0.05838714,0.056946814,0.05495502,0.052768033,0.050689455,0.04860394,0.04565826,0.040737078,0.033478014,0.024963716,0.017317804,0.012510368,0.011368852,0.01336128,0.017023714,0.020551844,0.022465235,0.022051832,0.019547181,0.015800038,0.0117738405,0.008141935,0.0052138064,0.0030674916,0.0016603052,0.0008695044,0.00050491997,0.00037255196,0.00033651871,0.00033045025,0.00033204618,0.00033502103,0.00033828945,0.0003419614,0.0003455097,0.0003481301,0.00034867434,0.0003446118,0.00032992064,0.00029742008,0.00024405583,0.00017674133,0.00010979712,5.7226847E-05,2.4565774E-05,8.692011E-06,2.6304908E-06,7.408142E-07,2.0122847E-07,4.4895916E-08,1.08637055E-08,3.1000147E-09,5.9784216E-10,5.2550932E-11,3.7268347E-13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2.0305585E-11,3.3076473E-09,3.934939E-08,2.3072356E-07,1.3215776E-05,6.912147E-05,0.00021922222,0.00048324128,0.0008385908,0.001221012,0.0016144961,0.0020696258,0.0026845972,0.0035315987,0.0045587416,0.0055583376,0.006189411,0.006242571,0.005900455,0.0064825932,0.011063878,0.02512814,0.05448093,0.102348745,0.16580886,0.23723952,0.30761966,0.37079152,0.42244592,0.4568261,0.46387717,0.43371463,0.36484146,0.2708551,0.17526348,0.09998577,0.054169983,0.034501087,0.03174982,0.03858733,0.053046655,0.079023935,0.12362177,0.19016059,0.27107078,0.3475225,0.39992166,0.42055032,0.41701195,0.40425745,0.39311144,0.3864127,0.38129178,0.37429455,0.3627005,0.34430447,0.31680277,0.27857018,0.23054689,0.17713241,0.12593801,0.08629933,0.06877223,0.08565005,0.14762984,0.25650153,0.3964106,0.53716964,0.6470704,0.7082963,0.71845514,0.68298227,0.6076135,0.50027275,0.37569323,0.25425264,0.15420021,0.08425909,0.042969268,0.023226686,0.017432287,0.019484587,0.024967283,0.031973466,0.043472525,0.0678579,0.11379663,0.18206483,0.26118895,0.33320203,0.3840697,0.41003335,0.41584972,0.40970168,0.40078083,0.3984766,0.408988,0.4331936,0.4647373,0.49826303,0.52888435,0.5573883,0.5802684,0.5968955,0.6035747,0.6049201,0.60413617,0.6087592,0.6181249,0.63020986,0.6363745,0.63329846,0.62069494,0.6051355,0.591982,0.5840934,0.5798231,0.57449156,0.56309533,0.5410068,0.50792664,0.4665029,0.4228308,0.38241825,0.34951508,0.32552204,0.30920032,0.2977337,0.28802922,0.27868298,0.26940277,0.26155916,0.25761,0.26102325,0.27308092,0.2895631,0.3007383,0.29608664,0.2714085,0.23081587,0.1836956,0.1384938,0.09992989,0.06942868,0.04691914,0.03163074,0.02209043,0.016612539,0.013924123,0.013528778,0.015361644,0.019261865,0.02475985,0.030947587,0.037021216,0.04372597,0.05605136,0.08358163,0.13630493,0.21591409,0.31141326,0.40188012,0.4682132,0.50086683,0.50343275,0.48595372,0.45967507,0.4310945,0.40227103,0.37202105,0.33915982,0.30433473,0.27034262,0.241156,0.22074817,0.21261014,0.21879612,0.23825823,0.26563832,0.29303977,0.31385612,0.32551774,0.32915878,0.327329,0.32324135,0.32051882,0.32280198,0.33087075,0.34153715,0.3484228,0.34620368,0.33267665,0.30955613,0.28080744,0.25156906,0.22645421,0.20706655,0.19110592,0.17353638,0.15081795,0.123082735,0.09416265,0.06890634,0.051129747,0.042198855,0.04091929,0.04400599,0.047534276,0.048323393,0.045002405,0.03804475,0.029182948,0.020408055,0.013163532,0.008047136,0.0050009447,0.004179052,0.008192856,0.024284175,0.064067125,0.13590609,0.23625313,0.34499463,0.43496093,0.4849639,0.49058712,0.46241006,0.41852224,0.3756089,0.34328136,0.32331014,0.31121454,0.30115214,0.2887866,0.27346864,0.2566961,0.24073459,0.22685666,0.21557756,0.20669802,0.1994869,0.19253998,0.18429625,0.17424335,0.16289915,0.15172482,0.14101039,0.13080058,0.12009317,0.109734185,0.10034751,0.09366697,0.08940164,0.08703669,0.08459502,0.08064579,0.074132964,0.06510898,0.05458386,0.044141825,0.035806306,0.031042969,0.030213242,0.032286596,0.03586274,0.040042732,0.044632014,0.049486324,0.0540418,0.057486776,0.059209537,0.059347223,0.058527213,0.05759789,0.056783255,0.05579284,0.053806756,0.05026287,0.044946115,0.038362313,0.031352676,0.024855824,0.019369978,0.014906156,0.0111804055,0.007967337,0.0052641556,0.0031858638,0.0017956374,0.0010013337,0.0006122784,0.00044257645,0.0003737564,0.00034932978,0.0003436158,0.00034412427,0.00034564114,0.00034754231,0.00035001896,0.0003518526,0.00034898837,0.00033349567,0.00029775404,0.00023984654,0.00016946149,0.000102339836,5.2347877E-05,2.2771705E-05,8.955758E-06,3.405922E-06,1.2770018E-06,3.9291538E-07,8.0236426E-08,8.944833E-09,1.7126166E-10,1.8261061E-11,2.779131E-12,9.7885696E-14,4.4209066E-16,0,0,0,0,0,0,0,0,0,0,0,0,0,3.698255E-13,1.6087486E-09,6.798068E-08,5.2671356E-07,1.685737E-05,8.3228544E-05,0.00025343933,0.00054149225,0.0009187404,0.0013257981,0.0017574378,0.0022623485,0.00289678,0.0036848616,0.0045371284,0.0052632876,0.005556566,0.0052903276,0.004740245,0.004697021,0.006235751,0.0103100855,0.017486362,0.027435536,0.039017472,0.05047995,0.06079719,0.07122042,0.08690969,0.11696754,0.1701215,0.2485512,0.34261057,0.43463072,0.506716,0.54934645,0.5620727,0.55082196,0.523794,0.48955396,0.45547345,0.42587873,0.40068176,0.3753973,0.34343708,0.2997953,0.24475531,0.18496008,0.1306775,0.090442955,0.06723844,0.058356408,0.058287133,0.06143543,0.063444324,0.061676245,0.056048412,0.05104838,0.05631582,0.084306,0.14059393,0.21742256,0.292578,0.34383914,0.358644,0.33994016,0.29719904,0.24235992,0.18547912,0.13599895,0.099963225,0.07907036,0.069999315,0.066889964,0.0636994,0.056834847,0.04590547,0.033182442,0.021559456,0.012946252,0.007670682,0.0049641496,0.0038468887,0.0038416192,0.0061425134,0.014483619,0.035732456,0.07669412,0.13913369,0.21480769,0.2869549,0.33801463,0.35745847,0.34642795,0.31280327,0.26782528,0.21932858,0.17353661,0.13293259,0.099472284,0.07273186,0.052195642,0.03689032,0.027124954,0.024282381,0.03194284,0.05729784,0.11039752,0.19760029,0.31112584,0.42618242,0.51287705,0.55546266,0.56098396,0.5480059,0.5298703,0.50694615,0.47550616,0.43586764,0.3952271,0.3606303,0.3355224,0.31868398,0.30742407,0.29881358,0.29028198,0.2794691,0.26579097,0.25084916,0.23845798,0.23115347,0.2298028,0.23304045,0.24040878,0.25217703,0.2702328,0.29569697,0.3287268,0.36669388,0.40630195,0.4430144,0.4736266,0.49521676,0.5086829,0.5148215,0.51319045,0.49729696,0.46190917,0.40751722,0.34397915,0.28220144,0.22822738,0.18127947,0.1392254,0.102255076,0.073564015,0.055963486,0.050040733,0.053025167,0.060865074,0.06973446,0.077812545,0.08488657,0.0916585,0.09887544,0.1075927,0.119532324,0.13704057,0.1613496,0.19102222,0.22168235,0.24862902,0.26897702,0.28227368,0.28880897,0.28936267,0.28605592,0.28283045,0.28380147,0.28974548,0.2981812,0.3054167,0.31183413,0.32095614,0.3363714,0.35599816,0.3733127,0.38100842,0.37522522,0.3547742,0.31914225,0.26851615,0.20658617,0.14248556,0.08778154,0.050837085,0.03257018,0.027824456,0.029405406,0.032055132,0.03335488,0.033227164,0.03260233,0.03353125,0.040125158,0.059231013,0.097068064,0.15347232,0.21849553,0.27672374,0.3161423,0.33338365,0.33276793,0.32063958,0.302941,0.2833743,0.26437044,0.24657293,0.23032068,0.21574329,0.20260654,0.18930042,0.1733904,0.15316568,0.12921172,0.104074866,0.080577336,0.060341638,0.04363348,0.030611677,0.02173055,0.017647702,0.018179024,0.022314563,0.028388118,0.03484753,0.040440265,0.044445332,0.046533775,0.046927303,0.046303704,0.045669857,0.04574095,0.046520438,0.047175195,0.046667606,0.044766013,0.04422638,0.053303868,0.086274624,0.15688314,0.26682386,0.3981197,0.51894706,0.5994038,0.6228455,0.58772904,0.5026073,0.38567606,0.2614967,0.15504664,0.08033698,0.037567656,0.017379941,0.009859317,0.008738692,0.011000723,0.014864072,0.018632907,0.021693854,0.024385003,0.02778764,0.032113697,0.036820624,0.040974718,0.044135273,0.046281334,0.047449753,0.047798585,0.04762159,0.047348257,0.046664257,0.04449666,0.039563477,0.031840228,0.022793217,0.01488626,0.010326671,0.010549561,0.015611169,0.0241069,0.033215806,0.040078405,0.04284753,0.041642737,0.03889561,0.040325906,0.055209946,0.09205558,0.15214823,0.22399004,0.2893519,0.3332547,0.35317087,0.35505867,0.34574816,0.32669124,0.2964706,0.25498846,0.20677839,0.15921234,0.119926386,0.09266438,0.07689982,0.068533845,0.063676484,0.060146865,0.057923365,0.05730508,0.057957605,0.05871728,0.058382113,0.05627873,0.05296464,0.051389813,0.057969216,0.08047147,0.12264744,0.17963105,0.23975654,0.29327524,0.33820668,0.38063455,0.4249706,0.4692167,0.50294644,0.5185004,0.5171016,0.51135635,0.5115154,0.5175517,0.51856446,0.5081503,0.49044552,0.47782388,0.47732687,0.4876717,0.5010682,0.511087,0.5141092,0.51037574,0.50159895,0.49019548,0.477914,0.4657433,0.4535779,0.43881845,0.41660044,0.3820893,0.3343266,0.27852038,0.22346884,0.1787246,0.15021162,0.1404338,0.1482883,0.17050926,0.20199144,0.2362963,0.26791635,0.2934061,0.31243718,0.325845,0.33452043,0.33783638,0.33368644,0.31960097,0.29500377,0.26330376,0.23050976,0.20297843,0.18359531,0.1719712,0.16491319,0.15971689,0.15495116,0.15068503,0.14719339,0.14462824,0.14401537,0.1469812,0.15492551,0.16704015,0.18094774,0.19440405,0.2064901,0.21720475,0.22587527,0.2321416,0.23622431,0.23952247,0.24199806,0.24232648,0.23805249,0.22788854,0.21127863,0.18908902,0.16339667,0.1377391,0.115063965,0.0961233,0.07939378,0.06318269,0.04739969,0.033746783,0.024510702,0.021278614,0.024098968,0.03151931,0.041094944,0.05060256,0.05843916,0.063842714,0.06619958,0.065380506,0.06194356,0.057361197,0.05307484,0.049247187,0.044650048,0.03793119,0.029630683,0.023418302,0.026097998,0.047338534,0.09594806,0.17470069,0.27337763,0.3709114,0.44369268,0.4792672,0.4807618,0.46322766,0.4415282,0.42300797,0.4059818,0.38691315,0.3645182,0.34111047,0.31805107,0.29572472,0.27403417,0.25468048,0.23888199,0.22610672,0.21363235,0.19928415,0.18255652,0.16543244,0.15024386,0.13903725,0.13103475,0.12406477,0.115192465,0.10429748,0.0933479,0.085356414,0.081343524,0.080293775,0.08012431,0.07914891,0.07665569,0.07256616,0.06750643,0.06225204,0.05769663,0.054035325,0.050819214,0.04682162,0.040899128,0.03265838,0.023078345,0.014005589,0.0071142917,0.0029817345,0.0010771132,0.00043985064,0.00030234756,0.0002997911,0.0003159731,0.0003309011,0.00033997625,0.00034486107,0.00034723638,0.00034715302,0.0003422671,0.00032765258,0.00029680322,0.0002464077,0.00018152094,0.000115315364,6.168603E-05,2.7497766E-05,1.0383602E-05,3.6415606E-06,1.2972096E-06,4.5276815E-07,1.11771406E-07,1.556033E-08,6.0588246E-10,1.9250468E-11,4.0934053E-12,5.022112E-13,5.6399346E-15,3.5110718E-19,0,0,0,0,0,0,0,0,0,0,0,2.5674368E-20,3.204142E-11,2.3828797E-09,3.4549117E-08,2.8064474E-07,1.1241617E-05,6.0760056E-05,0.00019531592,0.0004376533,0.0007698044,0.0011409136,0.0015435703,0.0020226806,0.002653835,0.0034678269,0.0044173226,0.005319501,0.0058806413,0.0058539403,0.0052781347,0.0045135454,0.003993842,0.004041839,0.0059914887,0.014595549,0.03960793,0.09239006,0.17670153,0.2816619,0.38282943,0.4555869,0.48607692,0.4770979,0.4409032,0.3925474,0.34274802,0.29725063,0.25779915,0.22397262,0.19515699,0.17055142,0.15056063,0.1358443,0.12735137,0.1252275,0.12957053,0.14105584,0.16101362,0.19023974,0.22767381,0.2707108,0.31670105,0.36474463,0.41483924,0.46585217,0.51372236,0.55324906,0.5817352,0.6008662,0.6153528,0.62805223,0.63735014,0.63697267,0.6208031,0.58734185,0.5421614,0.49532953,0.45633137,0.42971924,0.41391936,0.40410027,0.39540792,0.3852593,0.37176934,0.352097,0.32181814,0.27813968,0.2235686,0.16669637,0.11827334,0.08525921,0.068613164,0.066183746,0.07937155,0.115139365,0.18148558,0.27593243,0.38157606,0.4732698,0.5339887,0.56200427,0.56724256,0.55891794,0.5405633,0.51100475,0.47056863,0.42195463,0.3709068,0.32158998,0.2766991,0.23499358,0.1955545,0.15821649,0.1262892,0.10326476,0.09085242,0.08662602,0.08575633,0.084088,0.080213346,0.07528708,0.070924394,0.06806017,0.06666116,0.06603956,0.06491987,0.062975846,0.06403563,0.079527035,0.12461998,0.20919196,0.32575306,0.45213005,0.5606016,0.6365776,0.6785186,0.69668865,0.69694775,0.68275476,0.65224653,0.60801154,0.5540842,0.49684015,0.44049546,0.3858522,0.33029744,0.26993266,0.20508932,0.14168958,0.08850279,0.050985593,0.028556416,0.01679496,0.010893054,0.007899239,0.0063313865,0.0055614165,0.005202837,0.005029533,0.0049468414,0.00499643,0.0053425585,0.0062328908,0.008814218,0.016428873,0.036101315,0.0753609,0.1363583,0.20868917,0.2725521,0.30881634,0.3117847,0.2904663,0.2603872,0.23295684,0.21107556,0.19206075,0.17188264,0.14900729,0.124914385,0.10315063,0.08637088,0.07478652,0.06670966,0.060880914,0.057437237,0.056964234,0.058625564,0.060031008,0.059452876,0.05890757,0.06496016,0.0846039,0.11952946,0.16290541,0.20330316,0.23037511,0.23877895,0.22739221,0.19856925,0.15810709,0.11468492,0.07678705,0.04906933,0.031438705,0.0209758,0.0146542685,0.010538776,0.0077256933,0.005761899,0.004392012,0.0036295345,0.0039687976,0.0066121123,0.012724064,0.022390103,0.03337078,0.04213954,0.0459186,0.045125753,0.043013092,0.04348311,0.048430543,0.05691278,0.06638607,0.07429483,0.079567604,0.083030164,0.08777609,0.098626204,0.12058365,0.15631151,0.20394027,0.25739023,0.30870903,0.35048255,0.3768439,0.3842086,0.37451634,0.35642442,0.34226725,0.33898142,0.34399247,0.34787667,0.34269547,0.32536355,0.29663327,0.25883773,0.21773095,0.18551682,0.17965119,0.21494107,0.2917987,0.39235607,0.4871774,0.5525413,0.57999945,0.57672966,0.55340916,0.517315,0.47004783,0.41274312,0.3487239,0.28283253,0.21957137,0.16153662,0.111386806,0.07129222,0.04281204,0.024887742,0.014829931,0.0095678,0.007217997,0.0075512403,0.0134316785,0.031726982,0.0726893,0.14190812,0.23405987,0.33041084,0.4111532,0.46503258,0.49406335,0.50473887,0.50236076,0.48951456,0.4694735,0.44580472,0.42079583,0.3940731,0.36423656,0.32947323,0.288706,0.24298115,0.19707446,0.15900134,0.13646112,0.13310672,0.1459394,0.16638072,0.18421565,0.1931984,0.19360918,0.19066827,0.18981935,0.19414318,0.204238,0.22059192,0.2440176,0.2745582,0.3081955,0.33633104,0.3491023,0.34190395,0.3193297,0.29197073,0.27000332,0.2568148,0.25017822,0.24474353,0.23725717,0.22666872,0.2144869,0.2016343,0.18836333,0.17362803,0.15697888,0.13817115,0.11748847,0.09521567,0.07256077,0.051526804,0.03424797,0.021783845,0.01380876,0.009147084,0.006524077,0.005016714,0.004116387,0.003641351,0.0035579444,0.003807091,0.0041867476,0.004421249,0.0043332167,0.0039886525,0.0035971832,0.0033303008,0.0031929517,0.0031415473,0.0032155414,0.0035596285,0.004288672,0.0053482247,0.00653059,0.007568164,0.008307707,0.008733307,0.008961403,0.009095364,0.009199447,0.009253544,0.009241674,0.009161298,0.009047941,0.008905298,0.008693095,0.008360944,0.007921511,0.007453382,0.0070399903,0.006710894,0.006443247,0.0061849724,0.005886099,0.005524084,0.005112456,0.0046918397,0.004295187,0.0039775833,0.0037928477,0.003785031,0.003911072,0.004077818,0.0042098495,0.0042691757,0.0042667463,0.0041356054,0.0038422577,0.003397946,0.0031464526,0.003695742,0.005697001,0.009193275,0.013343923,0.016773213,0.01850457,0.01851253,0.017562376,0.016709266,0.017883595,0.02535391,0.04680751,0.090209655,0.15812667,0.24195117,0.32514492,0.39167187,0.43639508,0.46445593,0.48316434,0.49295726,0.48715878,0.4608229,0.4161742,0.36312103,0.31186506,0.27012274,0.24132855,0.22628152,0.22303116,0.22861236,0.24037576,0.2575266,0.27899304,0.3024758,0.32179,0.33023357,0.3210547,0.29281032,0.24755329,0.19305505,0.13784431,0.09133745,0.058959603,0.042614028,0.038704854,0.041082725,0.04319248,0.041859154,0.03753874,0.03285453,0.02990137,0.030409396,0.037787307,0.058935236,0.10165963,0.16844034,0.2521092,0.33670497,0.40599975,0.44906417,0.46491656,0.45773804,0.43594682,0.40677056,0.3774058,0.3522518,0.33367395,0.3201132,0.30646566,0.28683636,0.25898486,0.22820993,0.20491205,0.1987272,0.21161242,0.23761833,0.26614738,0.2897283,0.30492756,0.31429002,0.3195853,0.32353106,0.32505587,0.32516706,0.32330176,0.32133642,0.31866255,0.31514892,0.30919135,0.30064693,0.28964368,0.27751744,0.2662449,0.25889125,0.25915483,0.27041563,0.29424456,0.32827055,0.36646453,0.40111217,0.42671242,0.44156095,0.44726846,0.44763133,0.44640148,0.4463288,0.44768545,0.44983158,0.45200208,0.45387232,0.45534495,0.45626438,0.45638052,0.45456675,0.4502426,0.4443815,0.43899012,0.43400106,0.42654595,0.4139292,0.3961877,0.3757495,0.35453856,0.33391583,0.31498715,0.29898906,0.285988,0.27533057,0.2666922,0.26051474,0.2569245,0.25483218,0.2519091,0.2457055,0.23477614,0.22002082,0.20401533,0.18931758,0.17636836,0.16389595,0.15033801,0.13516517,0.118832715,0.10237066,0.08669353,0.07199628,0.05758561,0.043067623,0.029244406,0.018028758,0.010667853,0.0069652796,0.0055428226,0.0055069304,0.0071436055,0.011961172,0.021292806,0.036084853,0.05798133,0.09016329,0.1356855,0.1914558,0.24735756,0.28918588,0.30945396,0.31003308,0.3011732,0.29269025,0.29048982,0.29482034,0.3029561,0.31027195,0.31191075,0.30362412,0.28453526,0.2584462,0.23300415,0.21530426,0.20782648,0.2082032,0.2117865,0.2153132,0.21753992,0.21917427,0.22117352,0.22451602,0.22958033,0.23718713,0.2479182,0.26176485,0.27683294,0.2909095,0.30277872,0.31245166,0.31910932,0.320267,0.31354713,0.29905605,0.27906653,0.25646082,0.23275386,0.20933539,0.18726556,0.16851161,0.15441237,0.14693701,0.14849402,0.16351622,0.19595219,0.24648638,0.30879378,0.37198684,0.4251784,0.46363595,0.48850942,0.5047981,0.5164365,0.52573115,0.53254765,0.5365686,0.5372396,0.53507894,0.5312982,0.52816194,0.52810544,0.5324543,0.5405321,0.5498851,0.5578286,0.5629862,0.5659048,0.56857556,0.5727362,0.5783054,0.58296806,0.5840761,0.58008003,0.57183737,0.5602892,0.54705435,0.5327502,0.5187091,0.50466955,0.48852527,0.46663424,0.43633708,0.4000627,0.36362025,0.3339875,0.3127652,0.29770887,0.2843529,0.27194217,0.26299146,0.26228964,0.27169088,0.28823826,0.3045552,0.3146708,0.3178343,0.3182052,0.31852457,0.3167209,0.30727294,0.28806287,0.26297858,0.24024425,0.22568743,0.21974546,0.21741182,0.21244729,0.20035158,0.18025655,0.15463768,0.12892717,0.11074436,0.108429395,0.12697321,0.16424938,0.21002512,0.25186816,0.28206763,0.30145416,0.31577075,0.33034638,0.3468863,0.36357054,0.37620595,0.37972358,0.37073326,0.3503641,0.32304427,0.2940611,0.26514512,0.23707269,0.20976101,0.18652703,0.17036717,0.16629672,0.1767426,0.20334138,0.24143636,0.28259397,0.3141789,0.32623702,0.31376448,0.27978364,0.2325372,0.18228029,0.13712196,0.101388246,0.076010466,0.059677243,0.050120648,0.044968665,0.043556895,0.04868546,0.06635761,0.10167381,0.15310812,0.21101272,0.2627139,0.30029497,0.32386255,0.33751583,0.34413895,0.34285796,0.33282232,0.3148243,0.2924482,0.26879612,0.24721868,0.230316,0.22042298,0.21716042,0.21808147,0.22004646,0.22092055,0.21988507,0.21694075,0.21363682,0.21184011,0.21219218,0.21268123,0.21038067,0.20451571,0.19702606,0.1908248,0.18676843,0.18337752,0.17819889,0.16973656,0.1582553,0.14527299,0.13258518,0.12116903,0.11091351,0.1010377,0.091092296,0.0813165,0.072591044,0.06539013,0.059555978,0.054186415,0.048715126,0.043099258,0.037865635,0.033283945,0.029200463,0.025028268,0.0203314,0.015126749,0.0100313,0.00580907,0.0029391963,0.0013473686,0.00064039434,0.00038807406,0.0003237565,0.0003190263,0.00032849118,0.00033707614,0.00034240904,0.00034412366,0.00033880363,0.0003191165,0.0002785081,0.00021672965,0.00014554909,8.1361E-05,3.7131813E-05,1.3618028E-05,4.450357E-06,1.5081927E-06,6.0612064E-07,1.8322304E-07,3.7340275E-08,3.6719563E-09,7.048644E-11,1.1162879E-11,1.7264657E-12,6.10254E-14,2.250021E-16,0,0,0,0]