[0.15340671,0.1472463,0.13394448,0.11757541,0.10180497,0.088651575,0.07832116,0.07029523,0.064232446,0.060795188,0.061924685,0.06985269,0.085092865,0.10477687,0.12371103,0.13731343,0.14402466,0.1450137,0.14222848,0.13696697,0.12983952,0.12128357,0.11178624,0.10170669,0.09130487,0.08084228,0.07071077,0.061317652,0.05292806,0.04565462,0.039470255,0.034318406,0.030087553,0.026671948,0.023968982,0.021897888,0.020386374,0.019438438,0.019246927,0.02025486,0.022798153,0.026656056,0.030697638,0.03340386,0.033641044,0.031371314,0.027531916,0.023458743,0.020220695,0.018224707,0.01728907,0.016931282,0.016905477,0.017342592,0.018734742,0.021235833,0.024492966,0.027460717,0.029304462,0.029661015,0.029026188,0.028074434,0.027318744,0.026670678,0.025680562,0.02392991,0.02163569,0.0201923,0.022364056,0.031545583,0.049493264,0.07414632,0.099358834,0.1182128,0.12678711,0.12593181,0.11933414,0.110777564,0.102481335,0.09516156,0.08875811,0.082975425,0.07775254,0.07336993,0.070198864,0.06816646,0.066467695,0.06395214,0.05981498,0.054089904,0.04760913,0.04147293,0.036571514,0.033195656,0.031178502,0.030108834,0.029762886,0.030146668,0.0314747,0.0336338,0.03608443,0.0377537,0.037839573,0.03607868,0.033143073,0.030033015,0.02770706,0.026446044,0.02592471,0.025498172,0.024815803,0.024110949,0.024105271,0.025493428,0.02826262,0.03146031,0.033506613,0.0332527,0.030577667,0.026578752,0.022754101,0.020285452,0.019366095,0.019343153,0.019268023,0.018854644,0.018987289,0.021702014,0.02880148,0.040471356,0.054265514,0.066596515,0.07466373,0.07807878,0.07806102,0.07615303,0.07323673,0.06970841,0.065801285,0.061740782,0.057877507,0.054845616,0.053580243,0.05452356,0.057063032,0.05938019,0.059840407,0.057786908,0.053988505,0.049618203,0.045817133,0.04322374,0.04204716,0.041875895,0.04194666,0.04168461,0.04124076,0.04124098,0.04202974,0.043101195,0.043470826,0.042488977,0.04032312,0.037700403,0.035293933,0.033425957,0.032034744,0.030895693,0.029710842,0.028398754,0.027200745,0.026749024,0.027466865,0.029253908,0.0311755,0.032226812,0.031740144,0.029975867,0.027709723,0.025912866,0.025116866,0.025274208,0.025855886,0.026315937,0.026857635,0.028880091,0.034887422,0.046473715,0.06272924,0.0794185,0.09190399,0.09748828,0.09702149,0.09289357,0.087446146,0.08185599,0.07661324,0.07194317,0.06790823,0.06443174,0.061210096,0.057914466,0.054274026,0.05026862,0.04609932,0.042191148,0.039472062,0.039741427,0.045641627,0.05884512,0.07825458,0.09904143,0.115293086,0.12276989,0.121099204,0.112624176,0.100858144,0.088819355,0.07849789,0.07075202,0.06541356,0.061752763,0.058786303,0.055798367,0.052460942,0.04889685,0.045352887,0.042134937,0.04009218,0.041266542,0.048881207,0.06491065,0.08769333,0.11081462,0.1268517,0.1313665,0.12551923,0.11376656,0.10070086,0.08888651,0.079015724,0.07104519,0.06475009,0.060367987,0.05869693,0.061121535,0.06833467,0.079259016,0.09087875,0.099950254,0.1046912,0.10533623,0.10316041,0.09933423,0.09448531,0.088856846,0.082868166,0.07761415,0.075102516,0.077501476,0.08543223,0.097076766,0.108844124,0.11787116,0.12280911,0.1237491,0.1209768,0.11620889,0.11311397,0.11649829,0.12850718,0.1460845,0.1622919,0.17073244,0.16946508,0.1609465,0.14961272,0.1395228,0.13399999,0.13586348,0.14646298,0.16387837,0.18243265,0.195588,0.19996218,0.19715542,0.19128352,0.18558474,0.18092494,0.17700239,0.17371242,0.1713606,0.17036569,0.17092156,0.17313363,0.17700829,0.1823055,0.18817626,0.19239707,0.19167168,0.1825428,0.16398078,0.13885339,0.11437211,0.0983386,0.095009275,0.10158143,0.111023955,0.11646727,0.11568251,0.11021157,0.10307176,0.096204616,0.09017218,0.084733576,0.079870164,0.07658713,0.07711338,0.08327708,0.09489077,0.10853202,0.120116465,0.12673141,0.12853254,0.12635724,0.12138317,0.11457634,0.10905763,0.10906896,0.11780771,0.13404436,0.15230142,0.16625373,0.17232943,0.17130126,0.16619891,0.16022067,0.15477084,0.14999895,0.14559369,0.14206283,0.14033951,0.14083146,0.14241654,0.14297645,0.14080952,0.13582148,0.12952115,0.12394416,0.12059339,0.11980465,0.12091317,0.12265849,0.123919696,0.12418258,0.12357924,0.122284554,0.11988434,0.11527688,0.10725864,0.09550392,0.08141836,0.06800614,0.058474436,0.05416413,0.053845365,0.054849282,0.055099905,0.053985957,0.051867843,0.049207598,0.046244565,0.04315077,0.040145252,0.037387922,0.035003472,0.03309235,0.03196654,0.031863164,0.033099916,0.036085118,0.04192418,0.05154781,0.06467205,0.07847941,0.08900631,0.09334919,0.09214938,0.089483015,0.09084004,0.09983886,0.11568346,0.13330355,0.14636351,0.15138946,0.14964573,0.14524789,0.14191125,0.14111102,0.14324196,0.14873321,0.1578357,0.16894506,0.17891139,0.18476379,0.18573947,0.1824011,0.17534311,0.16471882,0.15200062,0.14016521,0.13203491,0.12779146,0.12564443,0.12423292,0.12476662,0.12951113,0.1394115,0.15239514,0.16532238,0.17632477,0.18627422,0.1965189,0.20643316,0.2121594,0.20947762,0.19713067,0.17922966,0.16327693,0.15597993,0.15882157,0.16742258,0.17505936,0.17710882,0.17298369,0.1644815,0.15396553,0.14361547,0.13571304,0.13172044,0.13150263,0.13302432,0.13411152,0.13360155,0.1321451,0.13090034,0.13052998,0.13042171,0.1295229,0.12729713,0.12425316,0.12142533,0.11961055,0.118905075,0.1189065,0.11909144,0.119193725,0.119167484,0.11899487,0.11842802,0.11705649,0.11463674,0.11148479,0.10839478,0.10617864,0.104985125,0.104361646,0.103679925,0.10289828,0.10234655,0.10220778,0.101727545,0.09941753,0.09365847,0.083663665,0.069949046,0.054476436,0.040373016,0.031381812,0.03072991,0.039532337,0.055563718,0.07385111,0.08911252,0.09841678,0.101847656,0.10116864,0.09805139,0.09340131,0.087793775,0.082165636,0.078330755,0.078449726,0.08417556,0.09503621,0.10932533,0.12415417,0.1376955,0.14678504,0.14912577,0.14248843,0.12984712,0.11690518,0.11098621,0.114565946,0.12498944,0.13611196,0.1438591,0.14922808,0.15732872,0.17271942,0.19498096,0.21828039,0.23553614,0.24338157,0.24373989,0.24107234,0.2383026,0.23570718,0.2321574,0.22769105,0.22320344,0.21962367,0.21632373,0.21242587,0.20810652,0.20593302,0.21008354,0.22478862,0.2518159,0.2876093,0.32285526,0.3461806,0.3511183,0.33939528,0.3179932,0.2927277,0.26535705,0.23582667,0.20542973,0.17741984,0.15453179,0.13747771,0.12494648,0.11537764,0.10767714,0.10136827,0.09594592,0.091349386,0.08878038,0.09120322,0.10127095,0.11790397,0.13567649,0.14883287,0.15735541,0.16595854,0.17820972,0.18984686,0.19254158,0.18132006,0.16129027,0.14343314,0.13696511,0.14201343,0.15197201,0.1592149,0.16169487,0.16179901,0.16300029,0.16553831,0.16747808,0.16713636,0.16515283,0.16322643,0.16195147,0.16051815,0.15837575,0.15667506,0.15728204,0.16072412,0.16526724,0.16817081,0.16764426,0.16391052,0.15859143,0.15345763,0.14938758,0.14651622,0.14456035,0.14321537,0.1418575,0.13984674,0.13670702,0.13261697,0.12795867,0.12321743,0.11861218,0.11436048,0.11027526,0.10569135,0.09951675,0.09114484,0.08113969,0.07106375,0.06247848,0.05600761,0.05134589,0.0477823,0.04480869,0.042140115,0.03967679,0.03732203,0.035129726,0.03320324,0.031815384,0.03176404,0.03497668,0.044286255,0.061079454,0.082781464,0.102409214,0.11293796,0.112237625,0.10495447,0.09872206,0.098651595,0.10473872,0.11315154,0.12025607,0.12484223,0.1283165,0.13219951,0.13597924,0.1373449,0.13457055,0.1298673,0.127971,0.13292183,0.14316422,0.15318911,0.15704481,0.1533655,0.14539339,0.1380053,0.13382778,0.13164988,0.12904914,0.12515521,0.12154057,0.12009319,0.1213594,0.12517563,0.13135634,0.14008129,0.15042007,0.16057807,0.16801609,0.17122032,0.16992404,0.1655333,0.16024128,0.15676053,0.15699367,0.16090922,0.16561443,0.16745132,0.16446666,0.15789908,0.15004261,0.1422555,0.13450359,0.1267332,0.11942413,0.11313137,0.10775974,0.1029604,0.098378666,0.094142556,0.090305544,0.08689938,0.0836825,0.08041803,0.07679463,0.072488844,0.06722302,0.06107922,0.05448402,0.048118815,0.042423207,0.037550826,0.033390556,0.029896414,0.027161928,0.025244014,0.024013331,0.023098743,0.022179887,0.021106085,0.019952565,0.01882249,0.01776249,0.016714029,0.0156249255,0.014485706,0.0133734355,0.012381832,0.01160901,0.011107835,0.010880843,0.010963474,0.011841674,0.014815246,0.021856144,0.034002468,0.050022423,0.06611043,0.078393675,0.08498099,0.086791135,0.0857248,0.083158664,0.07943963,0.07454452,0.06881676,0.06361913,0.0617163,0.06654779,0.078968935,0.09460329,0.104527265,0.10173901,0.08698342,0.07003347,0.06463107,0.081464626,0.122464575,0.17914025,0.23722787,0.28510967,0.32036316,0.34844694,0.3762543,0.40597022,0.43437514,0.455879,0.4663378,0.46512917,0.45481578,0.4417037,0.43257037,0.43021584,0.42558298,0.4022286,0.3488563,0.2736477,0.20042689,0.15176938,0.13326032,0.13374318,0.13731259,0.13592301,0.13249809,0.13744508,0.15941148,0.19998538,0.2506837,0.29924023,0.33553648,0.35744992,0.36814848,0.37248728,0.37290183,0.37016007,0.364313,0.3550587,0.34044814,0.31673464,0.28115982,0.23509699,0.18502726,0.13903289,0.10286283,0.07776481,0.061813537,0.051974997,0.045841057,0.04228435,0.041819487,0.046310663,0.058350768,0.080815814,0.117863536,0.17395748,0.250125,0.33789256,0.42198935,0.48964858,0.5408829,0.5851364,0.6313727,0.68080145,0.7287529,0.7677118,0.78822654,0.78187114,0.7500489,0.707437,0.67360896,0.6573338,0.6528843,0.64918697,0.6390974,0.61814857,0.5821821,0.5314361,0.4769167,0.43253604,0.40329933,0.38155928,0.36071396,0.3462751,0.35074973,0.37908283,0.4211049,0.46122387,0.49035892,0.50948197,0.52310365,0.53423494,0.5452835,0.5591989,0.57689214,0.5937267,0.60145926,0.5938487,0.5696636,0.5307378,0.47837543,0.4134227,0.33840635,0.25957254,0.18557143,0.12441025,0.08037899,0.05286752,0.03787279,0.030469013,0.026979825,0.02535027,0.024650285,0.024379386,0.024186278,0.023847727,0.023273788,0.02247706,0.021504248,0.020434037,0.019358195,0.018361041,0.017457725,0.016629608,0.015866728,0.015213795,0.014888994,0.017253634,0.030077206,0.06868276,0.14893611,0.2737806,0.42295274,0.56107503,0.65886503,0.71004486,0.7300904,0.7411098,0.7559712,0.7697823,0.7610914,0.7097285,0.615375,0.5064483,0.4149884,0.35402942,0.30901024,0.2650428,0.2248811,0.21100624,0.24001853,0.30598834,0.3778293,0.42356762,0.4308915,0.41620255,0.40324536,0.4022037,0.39981815,0.3776715,0.33305594,0.28710523,0.2707926,0.3000286,0.36477098,0.43463382,0.48667765,0.5161708,0.5354944,0.54812187,0.5482713,0.52892584,0.5040518,0.49667254,0.5223878,0.571856,0.62504673,0.66365474,0.67907196,0.66286993,0.60732776,0.51422805,0.40743724,0.3285079,0.31342176,0.36780253,0.46207607,0.5540281,0.6171958,0.6508258,0.6683977,0.6797367,0.6872494,0.68997365,0.6902842,0.6915522,0.6958215,0.7015738,0.7063279,0.70830655,0.7079889,0.70744926,0.7093249,0.71480536,0.7211438,0.7194558,0.69466454,0.6318191,0.5271034,0.3962324,0.2695161,0.17492877,0.122765996,0.104065746,0.10203899,0.10347736,0.10285834,0.099562526,0.09462295,0.089511685,0.088030756,0.09843332,0.13341351,0.20099442,0.29400775,0.3841037,0.43636551,0.43007335,0.3761529,0.31054866,0.27425587,0.28985763,0.3525081,0.437771,0.51903844,0.581663,0.62403417,0.64999914,0.6603277,0.65092725,0.61341506,0.542831,0.44568208,0.3506122,0.29833198,0.31833756,0.40541193,0.521947,0.6232939,0.67756325,0.6749694,0.62354094,0.5463827,0.46810547,0.39940664,0.33437094,0.26872596,0.21674825,0.2063986,0.2514802,0.33876872,0.43287757,0.5052143,0.5444947,0.55973476,0.5629113,0.56387275,0.565388,0.5685945,0.57227206,0.5724757,0.5599822,0.52262026,0.45336187,0.35803318,0.2565145,0.17100944,0.114319324,0.08449621,0.07466674,0.08286397,0.11566619,0.17429559,0.2429597,0.2888628,0.28642115,0.23898403,0.18205135,0.16176133,0.20533478,0.3076365,0.433496,0.5433046,0.61221313,0.64154273,0.64619476,0.6422104,0.6384758,0.6382303,0.6393058,0.63270336,0.60550326,0.55220944,0.48539683,0.43196395,0.41368225,0.42971566,0.45827362,0.47125325,0.45143735,0.39651263,0.32022312,0.24200286,0.17877226,0.13594009,0.11368972,0.1150827,0.1488608,0.21745093,0.3082306,0.3962839,0.46279955,0.5033866,0.5265198,0.5392938,0.54471207,0.5419788,0.53118354,0.51015997,0.47368193,0.41599965,0.33800212,0.2505745,0.1698771,0.10877544,0.07045961,0.050302997,0.040685628,0.035933807,0.033001333,0.030864751,0.029181307,0.027856013,0.02680063,0.025957512,0.025249125,0.024587646,0.023880191,0.023106685,0.022301553,0.021518396,0.020752037,0.01997219,0.019138528,0.018248744,0.017320774,0.016410867,0.01557557,0.014865319,0.015637266,0.022774467,0.046592604,0.09837884,0.18135786,0.2828995,0.37880397,0.44799587,0.48468804,0.4991486,0.5054421,0.5121114,0.517154,0.511986,0.48579788,0.43466675,0.36853668,0.3088708,0.2744435,0.26557204,0.26617122,0.25734314,0.23291592,0.20037752,0.17781007,0.1873728,0.24610598,0.35114852,0.47088194,0.556365,0.57055795,0.5135434,0.4263253,0.36314726,0.358696,0.40288043,0.45269272,0.46405455,0.42820656,0.3756454,0.34548452,0.350197,0.36892918,0.3789655,0.38054994,0.39159033,0.4153479,0.4315246,0.41795602,0.38316584,0.36257455,0.38608178,0.44522938,0.49778453,0.5025061,0.45336226,0.38663802,0.3521527,0.3789402,0.45584306,0.5477799,0.6221629,0.6671125,0.6869852,0.69075435,0.6857124,0.67754275,0.67094916,0.6674333,0.6649055,0.6607589,0.65523165,0.6518349,0.65314955,0.6585826,0.6643401,0.66821903,0.67104244,0.6758642,0.681787,0.68029547,0.655132,0.5913529,0.48707077,0.36084273,0.24380614,0.16216035,0.12252036,0.11317834,0.11633427,0.11979958,0.1195117,0.116093904,0.11097273,0.105042696,0.09866363,0.092980154,0.09155204,0.102084406,0.13326938,0.1890798,0.26210842,0.33464983,0.38557696,0.4025105,0.3904116,0.3719695,0.37337217,0.40648684,0.45896283,0.5047127,0.519334,0.4916668,0.4235455,0.3281801,0.226569,0.14006281,0.0814828,0.051370103,0.045686126,0.06488722,0.11685673,0.20639348,0.3245214,0.44327363,0.52771515,0.55168635,0.5149834,0.4422243,0.36815044,0.31351814,0.27596697,0.2411235,0.20285429,0.172683,0.17121172,0.21156472,0.28822532,0.37902007,0.4595572,0.5167615,0.55293804,0.57663155,0.5945823,0.60783786,0.6139857,0.6061179,0.5746436,0.51186025,0.4212146,0.3190313,0.22734939,0.16103306,0.12188893,0.10239676,0.09591266,0.10380536,0.13504261,0.1965514,0.28259563,0.37204793,0.43837175,0.46443427,0.45004782,0.41159773,0.37240815,0.35398796,0.36347508,0.39287767,0.42299262,0.43576503,0.4187001,0.3686327,0.29224935,0.20652483,0.13118267,0.07912178,0.052217692,0.04849003,0.07120263,0.12911373,0.22361223,0.33677587,0.4323413,0.47665802,0.46066594,0.41006982,0.3685703,0.36973414,0.41292122,0.46694314,0.49565205,0.4869953,0.45938203,0.4441755,0.46049717,0.5048619,0.5587606,0.6053762,0.6378486,0.6585526,0.67143136,0.6793132,0.6828583,0.6820159,0.6749695,0.65734035,0.62220997,0.5617708,0.47372743,0.3658515,0.25733712,0.16810769,0.10930119,0.077826254,0.06361877,0.05677064,0.05224659,0.04848365,0.047531128,0.055775672,0.08466712,0.14293666,0.22898787,0.32554814,0.41095746,0.46923438,0.4977506,0.49873173,0.47378838,0.4221091,0.34799656,0.26534143,0.19570382,0.16083118,0.1738256,0.23482345,0.3295252,0.43332878,0.51725286,0.5563515,0.53672796,0.46121082,0.3499665,0.2335742,0.13904448,0.078578144,0.047887158,0.03523685,0.030136446,0.027627325,0.02667364,0.028497836,0.034729604,0.04677065,0.066996954,0.10193462,0.16285671,0.25695285,0.37517843,0.4867382,0.5535088,0.5523379,0.493173,0.41472116,0.36339772,0.3662562,0.41779366,0.4889237,0.5487499,0.5831055,0.59581167,0.598747,0.59880495,0.59318525,0.57358456,0.5371148,0.49271703,0.4575832,0.44413412,0.45279,0.4732721,0.4958655,0.5145602,0.5268745,0.5259368,0.50148827,0.44453314,0.3575387,0.25752428,0.16991454,0.11775147,0.11366848,0.15758027,0.23739393,0.3316201,0.41866198,0.48431125,0.52600855,0.54516727,0.5425114,0.5147373,0.4600544,0.3831685,0.30138382,0.24318045,0.23544653,0.28618315,0.3752494,0.4677824,0.5358985,0.57350355,0.5906915,0.60031325,0.6090912,0.61777014,0.6246647,0.6266899,0.6190662,0.594145,0.54398406,0.46526876,0.36624083,0.26562995,0.18380447,0.13075714,0.10314766,0.090940826,0.08766691,0.09603094,0.12611096,0.18643247,0.27359596,0.3675921,0.43913543,0.4641141,0.43925107,0.38648453,0.34553698,0.34839877,0.40041316,0.47341266,0.52895236,0.5368593,0.49068236,0.4008384,0.29191402,0.18987267,0.11455216,0.07099841,0.056455683,0.07018665,0.11915237,0.20842616,0.32792345,0.4471257,0.52616715,0.53864604,0.48958933,0.41904703,0.37382933,0.37627506,0.40140975,0.40481713,0.35918024,0.28568372,0.23407376,0.24752386,0.3302243,0.45000935,0.56402874,0.64552444,0.6930501,0.7185216,0.73389846,0.7456653,0.757942,0.772079,0.781087,0.7671183,0.7099419,0.60373175,0.4657158,0.32854545,0.22014503,0.15083387,0.114701726,0.10347674,0.11612755,0.15930422,0.23521893,0.33369192,0.42997614,0.4980196,0.51905555,0.49357188,0.4401971,0.39357486,0.38291582,0.4155377,0.46907416,0.50968236,0.510365,0.4633814,0.37744722,0.273671,0.17651968,0.1046258,0.06456042,0.055441618,0.078807,0.1408577,0.24192913,0.36419263,0.47135964,0.5261553,0.51275843,0.45034647,0.38591972,0.36359128,0.3944811,0.44405437,0.46357918,0.42685068,0.355413,0.29675695,0.29233766,0.34944415,0.4451933,0.54481345,0.6235996,0.67403865,0.7017309,0.7154653,0.72203535,0.72409946,0.72104436,0.7083575,0.6785965,0.6231635,0.53813714,0.42946076,0.31458437,0.21449244,0.14332883,0.10179771,0.081219785,0.07119668,0.06529753,0.061031517,0.057713795,0.05501764,0.05421521,0.06116934,0.08830813,0.14965576,0.24960327,0.37457463,0.4975382,0.59427637,0.65428036,0.6807379,0.680379,0.65980047,0.62533927,0.5861861,0.55228835,0.5314297,0.5263283,0.53370935,0.5466475,0.5577646,0.56407714,0.5665019,0.5674729,0.56466085,0.54985553,0.5115587,0.44331667,0.34999812,0.24805528,0.1578734,0.093157984,0.05585778,0.0385852,0.032035306,0.029990556,0.031928677,0.042655114,0.07185744,0.12679385,0.2071054,0.29954326,0.3877565,0.45705453,0.5014367,0.51812726,0.5105991,0.48844996,0.46710774,0.45805156,0.45957005,0.4571761,0.43298915,0.37922215,0.30276546,0.22156887,0.15324128,0.1068738,0.080878474,0.06826074,0.06275927,0.06330076,0.07455587,0.10403583,0.15462668,0.21923864,0.2816347,0.32675627,0.3472843,0.3437014,0.31762457,0.27155945,0.21222512,0.15224755,0.105077855,0.07865647,0.07433614,0.08807696,0.11361101,0.14297472,0.17045681,0.19203906,0.20603625,0.21001881,0.20368153,0.18860877,0.16886586,0.14750645,0.12744935,0.11228334,0.10772122,0.11877159,0.1463586,0.18495046,0.22505589,0.2584894,0.28252926,0.2993653,0.3119767,0.3214083,0.3264603,0.3260804,0.32037523,0.31103337,0.29971054,0.2868716,0.27133048,0.2509978,0.22444807,0.19200043,0.15663613,0.1229811,0.095327534,0.07557369,0.063888796,0.06107548,0.06965405,0.09094625,0.12122353,0.15241118,0.1771497,0.19307996,0.2001058,0.19723912,0.18268983,0.15977915,0.13827659,0.13020521,0.14165062,0.16887428,0.20053893,0.22445129,0.23407316,0.23090531,0.22250785,0.21780466,0.22256917,0.23661013,0.25432572,0.2685064,0.27490672,0.27432433,0.27070397,0.26791915,0.26770177,0.27007928,0.27457502,0.28081414,0.28819633,0.29549682,0.3012787,0.30472657,0.30608523,0.30616006,0.30509022,0.3014078,0.29188785,0.27270478,0.24172604,0.20102169,0.15784028,0.12206601,0.10137075,0.097102545,0.10454754,0.11648347,0.1273356,0.13474949,0.1390413,0.14138418,0.14244634,0.14198695,0.14036638,0.14038818,0.1482666,0.16977747,0.20576668,0.24847858,0.2862431,0.30904183,0.3134587,0.30049077,0.2735093,0.23764795,0.201006,0.17360897,0.16242628,0.1675769,0.18150014,0.19452864,0.19983785,0.1967145,0.18805988,0.17766027,0.16803841,0.16062625,0.15632059,0.1552279,0.15672122,0.15907116,0.16040605,0.15921234,0.15535615,0.1498956,0.14454605,0.14047389,0.13778536,0.13571979,0.13359873,0.13130035,0.12907378,0.12671211,0.1234268,0.11823305,0.1107738,0.101350635,0.09081635,0.08024795,0.07111091,0.064798295,0.06216365,0.06268195,0.06495378,0.067238845,0.06858498,0.06868245,0.067805916,0.0661915,0.06400977,0.06130859,0.0581765,0.054765925,0.051289726,0.047958434,0.045125972,0.043994606,0.04730062,0.059040587,0.08095449,0.1095863,0.13597359,0.15202415,0.15567498,0.15243755,0.15096958,0.15917425,0.18123688,0.21489067,0.24972303,0.27000353,0.26384714,0.23157759,0.18642884,0.14551698,0.1197666,0.110232435,0.1122362,0.12116969,0.13484043,0.15313299,0.17564325,0.20062147,0.22328788,0.2379822,0.24006748,0.22897483,0.20723306,0.17955814,0.15127413,0.12821682,0.115967095,0.117917955,0.13305077,0.1550346,0.17526276,0.18771374,0.19243173,0.19413276,0.19700988,0.20108421,0.20215736,0.19756015,0.18967758,0.18721084,0.19732447,0.22063325,0.24767812,0.26764402,0.27427945,0.27093568,0.26435447,0.2601165,0.2588011,0.2589017,0.2593164,0.2607735,0.2637068,0.26695368,0.26806703,0.26622257,0.26273134,0.25969997,0.25702965,0.25267136,0.2445274,0.23301399,0.22088093,0.2113232,0.20570122,0.20293842,0.20101094,0.19864453,0.19614476,0.19416554,0.19278115,0.19085227,0.18706252,0.18060766,0.17205818,0.16285361,0.15451051,0.14755885,0.1416679,0.1364749,0.13227893,0.12966539,0.12857519,0.127905,0.12599035,0.1214656,0.1137363,0.1030854,0.09036959,0.07693615,0.064519726,0.05558908,0.05283688,0.057937216,0.06986397,0.084839344,0.09826041,0.10704472,0.11061389,0.10998119,0.106520414,0.10125441,0.09501779,0.08927039,0.08684864,0.09154264,0.10554991,0.12684588,0.14966404,0.16789925,0.17857103,0.18118513,0.17634897,0.16553919,0.15346646,0.14833705,0.15743797,0.18203722,0.21461843,0.2446632,0.2650166,0.27727845,0.28768575,0.30119267,0.31604826,0.32643756,0.32795647,0.3219154,0.31358424,0.30753145,0.30460075,0.30255678,0.29922903,0.2942892,0.28912532,0.284555,0.27979827,0.27323356,0.26483038,0.2569342,0.2534027,0.25796664,0.27414262,0.3041668,0.34673393,0.39441764,0.4365878,0.46512806,0.47764525,0.47304988,0.44722366,0.39619565,0.3247718,0.2493274,0.18882822,0.15330906,0.13974728,0.13858102,0.14148356,0.14499648,0.14851707,0.15209877,0.15560304,0.16037655,0.16916664,0.18480353,0.20605294,0.2287484,0.24768603,0.26153806,0.26863137,0.2662319,0.24998428,0.22251566,0.19380414,0.1764911,0.17584147,0.18725659,0.2010412,0.20965569,0.21191822,0.2113074,0.21247269,0.21758915,0.22644974,0.23738603,0.24895598,0.2595428,0.2676928,0.27232268,0.27350006,0.2720013,0.26870963,0.26439592,0.25992644,0.25594094,0.2524086,0.24844722,0.24348716,0.23786592,0.232822,0.22898728,0.22502285,0.21818028,0.20626634,0.19083424,0.17619099,0.16720144,0.16532795,0.16944885,0.17674841,0.18433493,0.18811035,0.1836561,0.16828573,0.14377843,0.1156782,0.090139516,0.07056717,0.057123408,0.048220683,0.042257514,0.03816594,0.03529543,0.03323245,0.031708334,0.030555887,0.030148743,0.032380577,0.04099751,0.059336204,0.08603502,0.113559544,0.13203596,0.13696241,0.13196771,0.12640974,0.12894882,0.14429253,0.17126422,0.20326787,0.23039633,0.2440177,0.24072556,0.2232397,0.19834627,0.17407405,0.15671344,0.14874484,0.14878772,0.15348208,0.1603683,0.16790742,0.1754906,0.18176709,0.18620545,0.18875931,0.19040632,0.19065255,0.1874037,0.17897564,0.16765283,0.16053618,0.16421254,0.17996396,0.20184447,0.22237074,0.2370281,0.24584754,0.25024855,0.25021076,0.2447504,0.23321456,0.21706314,0.19911611,0.18312903,0.17233622,0.16788661,0.16807975,0.16921508,0.16866376,0.16611838,0.16331726,0.16175403,0.16192788,0.16302527,0.16336237,0.16060627,0.15294777,0.14030038,0.124835156,0.109599344,0.09691923,0.087211646,0.07969915,0.07322272,0.06706282,0.060895305,0.054718215,0.048815656,0.043554544,0.03927602,0.036043946,0.03373885,0.03208987,0.030796425,0.029602917,0.028366722,0.027088523,0.025862979,0.024788128,0.023902372,0.023144238,0.022396745,0.021544,0.020524064,0.019364325,0.018158758,0.017056994,0.016189912,0.015628722,0.0153467925,0.015243825,0.01534979,0.016219176,0.019366182,0.026910188,0.040235262,0.05829205,0.07742223,0.093117476,0.10255731,0.10562094,0.10407425,0.09995914,0.094719835,0.089074336,0.08350458,0.079006456,0.0779771,0.08415937,0.101124726,0.13090968,0.1727273,0.22301476,0.2727674,0.31005096,0.32564044,0.3248454,0.32602265,0.34930828,0.39817083,0.45853892,0.5097772,0.54157573,0.5564075,0.56393236,0.5707206,0.57632667,0.5743298,0.5576537,0.52868956,0.5003927,0.49230886,0.5109995,0.5454841,0.5685317,0.5573606,0.50615275,0.4327643,0.36654222,0.32665214,0.308283,0.28997523,0.25988925,0.23035406,0.23034601,0.27940968,0.37220386,0.4802568,0.57229966,0.6306658,0.65699023,0.66233736,0.65589213,0.6385543,0.6040337,0.54469013,0.4593651,0.35894695,0.2633991,0.19080268,0.1477406,0.12857322,0.12287178,0.12255305,0.12642498,0.14073724,0.1762191,0.23624992,0.30737463,0.36055526,0.37293983,0.34536186,0.30460265,0.28353643,0.30487862,0.37263882,0.4740964,0.5843746,0.67754346,0.73887515,0.7663292,0.76028186,0.7129631,0.61689866,0.48126328,0.34188208,0.24556881,0.22698842,0.28671694,0.39369297,0.49744263,0.5545967,0.54250586,0.46934798,0.36496556,0.27029464,0.21643542,0.21238689,0.24164025,0.2775514,0.3009104,0.3103796,0.31788996,0.338594,0.38195112,0.44662166,0.5211448,0.5882466,0.63480896,0.6556534,0.6551356,0.64163774,0.6257892,0.61224246,0.5947039,0.5554503,0.4803398,0.37357986,0.25896928,0.16380112,0.101644605,0.069197066,0.05469172,0.048059974,0.04405575,0.04104289,0.038589995,0.036537483,0.034763094,0.03318882,0.03173249,0.030279145,0.02877388,0.027275858,0.025938997,0.024869787,0.024065139,0.023407044,0.022738213,0.02191024,0.02085846,0.019612094,0.018292425,0.017031968,0.016481297,0.020415561,0.037946556,0.08246673,0.15876913,0.25227678,0.32646605,0.34843388,0.31244057,0.253269,0.22253497,0.25957656,0.3661578,0.5086397,0.63460344,0.69843864,0.6825587,0.6080466,0.5219114,0.46746603,0.45088086,0.44302773,0.40821335,0.34556198,0.29325187,0.30073097,0.3852072,0.5141321,0.62347287,0.66138643,0.6228002,0.55378926,0.51491356,0.5373211,0.59634644,0.6359746,0.6151193,0.5445386,0.4718987,0.43859795,0.4465046,0.47352624,0.5022695,0.5332946,0.5589339,0.55842346,0.5138732,0.4467646,0.40668938,0.43344626,0.5160778,0.5997966,0.62844896,0.5872798,0.5131199,0.46322855,0.47516617,0.5447824,0.63860494,0.7213597,0.7757823,0.8043596,0.8187899,0.83010334,0.8438652,0.8602574,0.8762223,0.88755655,0.89220977,0.8915825,0.89038134,0.8927851,0.8993427,0.90712434,0.91260314,0.9145939,0.9092801,0.8853914,0.82249665,0.70678896,0.5448461,0.36932948,0.21897955,0.11944795,0.07199548,0.06327008,0.07610593,0.09710234,0.1170699,0.13074923,0.13685322,0.13672316,0.13269405,0.12658234,0.12125824,0.1221017,0.1383506,0.17768528,0.2426225,0.3249943,0.40969014,0.47572207,0.5048075,0.48985255,0.44474256,0.3999199,0.38332745,0.40152526,0.43715668,0.46413302,0.4630436,0.42654502,0.3582387,0.27050027,0.18233253,0.1113436,0.06764767,0.053701103,0.0721202,0.1277337,0.21973938,0.33127153,0.42972493,0.48222402,0.4755831,0.42549804,0.36814186,0.33268896,0.32261106,0.3142367,0.2856892,0.23693903,0.19367325,0.18523519,0.22565544,0.30567732,0.3994217,0.48049784,0.5341633,0.5629557,0.57715577,0.5868246,0.59492034,0.60127926,0.60300905,0.5963337,0.5729727,0.52460814,0.44852352,0.3557708,0.26634976,0.19877182,0.15872641,0.14082138,0.13779187,0.14931612,0.18193276,0.23899035,0.3141922,0.389564,0.44739577,0.4739299,0.4673263,0.43460748,0.39755797,0.38035825,0.398852,0.44533452,0.49747947,0.52947587,0.52494955,0.47780964,0.3950776,0.29586422,0.20490734,0.14004453,0.10597384,0.100273706,0.1239265,0.18291406,0.27730143,0.3908616,0.4921937,0.5497678,0.5474544,0.49399817,0.42125276,0.36985663,0.36734223,0.4094303,0.46409988,0.49528608,0.48982164,0.4663756,0.45723996,0.48386422,0.53902483,0.59858304,0.6398023,0.6583741,0.6623995,0.6630435,0.665155,0.6693456,0.6727292,0.67085433,0.6556959,0.617865,0.55003256,0.4539419,0.34299707,0.23827642,0.15758356,0.107176,0.08135024,0.06979706,0.06417667,0.060640976,0.058411732,0.060001075,0.07206339,0.105757274,0.16911809,0.26042232,0.36323765,0.45751393,0.52754515,0.56956345,0.58262795,0.5647879,0.511949,0.42757538,0.32813016,0.23969835,0.18836923,0.18965565,0.24541205,0.34211865,0.4559908,0.55920273,0.6301256,0.6547744,0.6261186,0.5439208,0.42141417,0.28673968,0.17123646,0.09369444,0.052688833,0.035564113,0.02948648,0.028356649,0.031107225,0.038614813,0.05232213,0.075541995,0.11658446,0.18568237,0.28699264,0.40749606,0.5179482,0.5839734,0.5849386,0.5265679,0.4427369,0.3801879,0.37309635,0.42267165,0.5000603,0.5689383,0.6091085,0.62096936,0.6141615,0.5948874,0.56398803,0.52426785,0.48540583,0.46130118,0.45925382,0.47487843,0.4947244,0.5085149,0.5140133,0.5162635,0.5190467,0.5231128,0.5249,0.51804453,0.49131754,0.43501818,0.3484986,0.24847944,0.16068588,0.10937633,0.1054272,0.14636707,0.21797864,0.2994286,0.37132657,0.42195857,0.45022354,0.45887867,0.45037937,0.42426693,0.38024464,0.3208852,0.2542527,0.19571114,0.16484039,0.17841737,0.23775542,0.32434142,0.40599608,0.45755303,0.4736291,0.46889082,0.46205413,0.46550587,0.48214212,0.5105066,0.54629827,0.5818701,0.60455006,0.5989883,0.5530017,0.46655378,0.35525808,0.24555343,0.16015454,0.10797598,0.08351401,0.07789567,0.088369586,0.11963103,0.17574078,0.25085986,0.32789055,0.38462734,0.404194,0.3832996,0.3364617,0.29253545,0.2790291,0.3057691,0.3562679,0.40065154,0.41131783,0.37805763,0.3079783,0.22230755,0.14407869,0.08887861,0.05935048,0.05267455,0.0691402,0.115555204,0.19451624,0.29523715,0.3899821,0.44725454,0.44747093,0.39796862,0.3346239,0.30115053,0.3205059,0.3692027,0.39885554,0.37238804,0.30437037,0.24589022,0.24750948,0.31901345,0.42908135,0.5339598,0.60552526,0.643369,0.6614221,0.6761241,0.6941715,0.7112295,0.7112908,0.67623687,0.59768355,0.4876138,0.37247697,0.27926895,0.21998842,0.19091924,0.17944221,0.17537875,0.17626886,0.1881034,0.21973479,0.27452672,0.3437729,0.40723827,0.4420946,0.43706998,0.40191865,0.36647394,0.3607671,0.39576876,0.45265713,0.4993303,0.50788826,0.4702923,0.3950534,0.30304176,0.21661043,0.15227778,0.114701025,0.10159501,0.11199496,0.15161371,0.22461231,0.32342032,0.4225948,0.4899268,0.5032261,0.46644008,0.4115007,0.37826407,0.38885117,0.42670605,0.45337328,0.43665478,0.38093567,0.32198662,0.30259928,0.34229505,0.427092,0.523683,0.6027166,0.6539359,0.6832979,0.70138377,0.7153911,0.7268663,0.7338719,0.7309577,0.7096484,0.66002905,0.5763435,0.46400657,0.34069976,0.22980553,0.14777063,0.09799572,0.0725347,0.060745616,0.054795843,0.05182683,0.054642856,0.07271404,0.12031374,0.20517784,0.31848237,0.43352267,0.52367884,0.5775967,0.60255355,0.6105361,0.6072599,0.59340256,0.57185835,0.55287266,0.54683715,0.558098,0.580126,0.60198486,0.61436605,0.61545587,0.6080925,0.5948105,0.5712897,0.52808106,0.4568284,0.36061624,0.25468948,0.16033354,0.091979206,0.052164644,0.03320582,0.025473693,0.022368575,0.021782026,0.024214849,0.032986816,0.055461194,0.10406133,0.18877383,0.30776462,0.44012713,0.55629,0.6323042,0.6637842,0.66179186,0.64610916,0.6338009,0.63488716,0.6457153,0.6496208,0.62360126,0.553372,0.4444556,0.32100728,0.21168493,0.13428144,0.090601206,0.0745038,0.082337745,0.11679777,0.17857225,0.25996345,0.34365106,0.41466308,0.46383616,0.48858964,0.4833468,0.44325256,0.36887717,0.2742655,0.18169491,0.11362163,0.08472703,0.10011822,0.15508612,0.23539293,0.32113254,0.39465046,0.4460597,0.47176662,0.46792093,0.43121627,0.3644903,0.28364596,0.21317367,0.17756839,0.19164641,0.25335178,0.34296727,0.42708632,0.47902656,0.4903164,0.47613266,0.45603594,0.44280586,0.4349248,0.4259008,0.41098204,0.39264956,0.37826142,0.3749447,0.38427827,0.40197062,0.42080626,0.43550098,0.4442749,0.44946393,0.4543542,0.45964107,0.458998,0.44070956,0.39506292,0.32401013,0.24344766,0.17489298,0.13394296,0.12306311,0.13462351,0.15700029,0.1813211,0.20287342,0.22033495,0.23343019,0.24218328,0.24741161,0.25017238,0.2511897,0.2501358,0.24740364,0.24446504,0.2429768,0.2428299,0.24186462,0.23751454,0.22760898,0.21180029,0.1917405,0.17143655,0.15443866,0.1417628,0.13205834,0.12618743,0.1300946,0.15401496,0.20321834,0.2724092,0.34364614,0.39935854,0.4299365,0.4393364,0.43500736,0.42420232,0.41006052,0.39654657,0.38638172,0.37973762,0.37146136,0.35563293,0.3310952,0.30344462,0.2806134,0.26575413,0.2556423,0.2438121,0.22637862,0.20411205,0.18109222,0.16191573,0.14946131,0.1448226,0.14741212,0.1559416,0.1682982,0.1821994,0.19554825,0.20768838,0.21941607,0.2324003,0.24762468,0.26476374,0.28229132,0.2986405,0.3129567,0.32528046,0.33512363,0.34029508,0.3370438,0.32256135,0.29779485,0.26767126,0.23897845,0.21613134,0.19958138,0.18584216,0.17153662,0.15569359,0.14029026,0.12711096,0.11616544,0.10644066,0.09801508,0.09278223,0.09378362,0.10411451,0.12578161,0.15823436,0.19795893,0.23875177,0.27411342,0.3002797,0.31995562,0.3405422,0.36713886,0.39462373,0.40960026,0.40236175,0.37829077,0.3567078,0.35616517,0.37946334,0.41110873,0.42803383,0.41485906,0.3708473,0.30940527,0.2496748,0.20827103,0.1914876,0.1939406,0.20378953,0.21085812,0.21294476,0.21464549,0.22303145,0.24143533,0.26828313,0.2979987,0.32479063,0.3439567,0.35334542,0.35334215,0.34673348,0.33605847,0.32117507,0.30026144,0.27367184,0.24654417,0.22519328,0.2126102,0.20639354,0.20246251,0.1973042,0.1893713,0.17802276,0.16455351,0.15102951,0.1392648,0.12908812,0.11982775,0.1114907,0.10582433,0.105309725,0.11268288,0.1290002,0.15290026,0.17979671,0.2043914,0.22263168,0.2342966,0.2423438,0.25095257,0.26182613,0.27283728,0.2801644,0.28227222,0.28208473,0.28501245,0.29539773,0.31371823,0.33637926,0.35647154,0.36680052,0.3639579,0.35343,0.34673265,0.35281947,0.36731634,0.3745825,0.35922813,0.318925,0.26580974,0.21769756,0.1871314,0.1763242,0.1792376,0.18818855,0.19745117,0.20476907,0.20900124,0.21096528,0.21267463,0.21789265,0.22962111,0.2502637,0.28085387,0.32114884,0.36620677,0.40479383,0.42148033,0.40558407,0.36004308,0.30253935,0.25578138,0.23328711,0.23328556,0.24356322,0.25356424,0.26011193,0.26621652,0.27446607,0.28475392,0.29520473,0.30442986,0.31259915,0.3203931,0.32925895,0.33975884,0.351158,0.36004528,0.36192617,0.35428205,0.33939007,0.32394958,0.3141199,0.30973813,0.30315378,0.2846506,0.25125104,0.20921998,0.1695984,0.13972522,0.120269716,0.107561536,0.09814005,0.09071114,0.08639768,0.088638924,0.10298309,0.13373542,0.1791843,0.22948335,0.27052346,0.2920328,0.29087868,0.2712805,0.2400393,0.20713283,0.18452573,0.18473421,0.21273215,0.26060173,0.30995896,0.34379983,0.35695544,0.3563579,0.35258517,0.35170534,0.35423386,0.3575349,0.3597869,0.36007905,0.35924956,0.35749614,0.35483956,0.35062906,0.34539238,0.3400152,0.33494666,0.3295639,0.32335904,0.31617662,0.30685464,0.29184285,0.2670259,0.2309676,0.18699141,0.14135729,0.100497246,0.068558216,0.04692782,0.0344878,0.029001152,0.028698966,0.03330415,0.043321818,0.05854833,0.07691181,0.09520358,0.11034397,0.1208747,0.12690865,0.12980746,0.13151135,0.1350692,0.14529057,0.16780137,0.20552187,0.25503123,0.30694136,0.3511974,0.38097486,0.39328372,0.38479745,0.3540164,0.30470613,0.2511112,0.21174161,0.19999798,0.21503972,0.2432807,0.26764145,0.2770647,0.27159345,0.25879756,0.24869518,0.24758284,0.25637102,0.27097237,0.28560075,0.29591668,0.30080363,0.3018403,0.301392,0.3008493,0.30017886,0.29873514,0.296477,0.2943841,0.29393473,0.29613528,0.30108166,0.30798867,0.31587362,0.323943,0.33211777,0.3400716,0.3463943,0.34701928,0.3365445,0.31017837,0.26784495,0.21525657,0.16283451,0.12040058,0.09277958,0.078222804,0.07138464,0.067261696,0.063386254,0.059331402,0.0554232,0.05178815,0.04840986,0.04519565,0.042274583,0.03982368,0.03820217,0.037892092,0.040064055,0.047124032,0.06329005,0.09261263,0.13440995,0.17867784,0.20844667,0.21047987,0.18710156,0.15793069,0.14773911,0.17008483,0.21848083,0.27300748,0.31403682,0.3347892,0.3410633,0.34340575,0.34667388,0.34841204,0.3452064,0.3400458,0.34200177,0.3576496,0.3839543,0.40996823,0.4236622,0.41918352,0.39826727,0.3681189,0.33568242,0.30129865,0.26202095,0.21804778,0.18218632,0.17205465,0.1996351,0.259467,0.33373055,0.40294108,0.4572768,0.49717173,0.5255433,0.5388665,0.5261288,0.478364,0.40025747,0.313315,0.24622451,0.22054505,0.24056602,0.2930281,0.35479602,0.4044743,0.43182942,0.43915093,0.4363651,0.43315527,0.43515185,0.44217813,0.45035195,0.4547933,0.45334205,0.44739535,0.43972012,0.43225268,0.4254538,0.4202113,0.41760838,0.41781238,0.41881084,0.41792145,0.41425216,0.40946713,0.40631065,0.4064118,0.40960482,0.41489342,0.42109314,0.42725977,0.4325422,0.43747234,0.44406903,0.45462933,0.4689623,0.4837147,0.4949199,0.5007716,0.502577,0.5006326,0.49119487,0.46496722,0.41339707,0.33579728,0.24396612,0.1569523,0.09062951,0.050165873,0.030604662,0.02388554,0.024339208,0.02990749,0.039588526,0.05123545,0.06162921,0.06805671,0.06973771,0.067621104,0.0635047,0.05908229,0.055788178,0.05562381,0.0628588,0.084831,0.12701215,0.18527515,0.24056101,0.26890862,0.25711396,0.21648043,0.17573111,0.16623445,0.20197363,0.27484873,0.3580357,0.42512596,0.46313587,0.47857276,0.48433504,0.48906437,0.49119833,0.48744535,0.4779398,0.4691646,0.4670153,0.47411418,0.48675796,0.4996765,0.5077891,0.5115266,0.5153712,0.5258038,0.54358864,0.562756,0.57293296,0.56640744,0.54000276,0.49557313,0.43924496,0.38277793,0.3408173,0.32490563,0.33563825,0.36241794,0.38909912,0.40412208,0.40431878,0.39477873,0.38299385,0.375255,0.37196612,0.367386,0.3516692,0.31865597,0.2710715,0.2204967,0.17927916,0.1537807,0.14210486,0.13850431,0.13743518,0.13650502,0.1375432,0.14685999,0.1725808,0.21631558,0.26720533,0.30327114,0.30704585,0.2783765,0.23751716,0.21084231,0.21527542,0.25053093,0.30252925,0.35471818,0.3941822,0.41487026,0.41201523,0.38336432,0.33104178,0.2664367,0.20578551,0.16359591,0.14767027,0.15911938,0.19322999,0.23924029,0.28397322,0.31808224,0.34019658,0.35311005,0.35646844,0.34439805,0.3107377,0.25711885,0.1968599,0.15092953,0.1399962,0.17307156,0.24289651,0.326753,0.39956573,0.4436103,0.45314518,0.42839774,0.3735125,0.29800144,0.21862553,0.15282463,0.10992852,0.087519616,0.07709252,0.0709813,0.06582288,0.06099065,0.05690476,0.055639446,0.06276991,0.08766834,0.13687278,0.20731103,0.28341708,0.3479382,0.3918277,0.41861364,0.43326306,0.43461087,0.41412374,0.37018183,0.31648898,0.28080395,0.28407785,0.32470503,0.3763585,0.40806317,0.40424266,0.37471545,0.34493008,0.33900294,0.36334142,0.4066914,0.44990447,0.4791641,0.48706785,0.46909583,0.42307094,0.35624722,0.29110563,0.2574133,0.27432373,0.33327186,0.3995665,0.43189374,0.40851632,0.34011307,0.26273525,0.21478789,0.21464439,0.25070617,0.29013944,0.30149534,0.27473065,0.22919802,0.19907899,0.21213035,0.2700008,0.3480549,0.4092234,0.4256921,0.394027,0.33646408,0.28855824,0.27734345,0.30691087,0.3573872,0.4032935,0.42925176,0.43666592,0.43354467,0.4264834,0.4177574,0.4103061,0.4074228,0.4088404,0.40715733,0.3953185,0.37786078,0.37084377,0.38773632,0.42255893,0.45601332,0.4713968,0.46985832,0.46228376,0.45863438,0.46012795,0.4643818,0.4687545,0.47196308,0.47180295,0.46611115,0.45396602,0.43717316,0.41897714,0.40233544,0.3883988,0.37544832,0.36035642,0.34132174,0.3231536,0.31462368,0.32247078,0.340142,0.35057104,0.3358462,0.2947506,0.24658616,0.22100306,0.23686688,0.2887341,0.35256556,0.40390185,0.43255806,0.4415512,0.43673503,0.41985688,0.38959655,0.34660503,0.2948472,0.24037015,0.18887816,0.14556517,0.113886155,0.09479017,0.085568905,0.082217336,0.082796104,0.08983967,0.10966275,0.14703248,0.20271693,0.26906657,0.33330756,0.37713432,0.38830483,0.36760175,0.33484158,0.31514713,0.3223776,0.34940016,0.37506327,0.37802386,0.34724236,0.28601977,0.21024902,0.13983382,0.08908328,0.060544338,0.050740395,0.05848673,0.091097094,0.15664351,0.25251615,0.35512045,0.42857477,0.44549093,0.40849152,0.35023966,0.30687505,0.2906462,0.28227818,0.25698283,0.20923382,0.16090387,0.14389272,0.17974208,0.26665422,0.3797673,0.4848512,0.55752856,0.5946643,0.60966593,0.6175762,0.62558967,0.6303757,0.6219944,0.58746296,0.52014005,0.4261409,0.3260689,0.24256808,0.18887116,0.1625182,0.15369432,0.15529531,0.17028171,0.20747404,0.27044845,0.34875396,0.4195489,0.46132764,0.46453503,0.4368501,0.3974216,0.36965883,0.36881816,0.39401007,0.42923602,0.45349467,0.45165658,0.41770473,0.35572472,0.27859107,0.20445208,0.14822254,0.11607119,0.10798073,0.1259404,0.17596191,0.26004973,0.3642427,0.45737764,0.504438,0.4894613,0.42777523,0.36104226,0.32793757,0.34058633,0.3746014,0.39481017,0.38059476,0.34419337,0.31636107,0.3260409,0.3792523,0.45912823,0.5378709,0.5962514,0.6310566,0.65150064,0.6665833,0.6792424,0.6845662,0.6741705,0.6384035,0.5712669,0.47480097,0.3620681,0.2537342,0.1680373,0.11271525,0.083030276,0.06896006,0.061592326,0.056580525,0.052385077,0.048736453,0.04573449,0.045500915,0.053840924,0.08114057,0.13619387,0.21912603,0.31586543,0.40601888,0.47244325,0.5095387,0.5183923,0.5012067,0.4568973,0.3872651,0.3018032,0.22178124,0.17177081,0.17227793,0.22682977,0.32136914,0.42632267,0.512072,0.5582978,0.55727565,0.5092241,0.42094943,0.30992696,0.20102973,0.11685195,0.065401666,0.04072687,0.030957365,0.027200617,0.025900034,0.027164852,0.032422066,0.042422142,0.05795026,0.081841186,0.1220777,0.18592559,0.27184057,0.36000907,0.42148766,0.4330854,0.3969028,0.3402053,0.30175185,0.30846146,0.36142898,0.44076553,0.52030355,0.58287543,0.6202714,0.629731,0.6096899,0.5647387,0.5080996,0.45898017,0.4325218,0.43132594,0.44593406,0.46256098,0.47327423,0.477973,0.48121795,0.48661065,0.49515963,0.50429726,0.5060866,0.4871328,0.43564567,0.35168597,0.2535067,0.1693482,0.12535033,0.13179718,0.18259688,0.2579448,0.33645687,0.4021655,0.44938466,0.47796002,0.48821044,0.47782502,0.44339034,0.3849323,0.31036967,0.23805374,0.1931128,0.19702858,0.2546925,0.34811184,0.4447062,0.51584005,0.55184287,0.56188565,0.5625052,0.5667626,0.5812509,0.60702413,0.63997835,0.6697603,0.68011993,0.65353066,0.5802703,0.46793225,0.3419265,0.23263903,0.15878417,0.119816266,0.103925265,0.100717135,0.10954067,0.1379324,0.19303405,0.27214208,0.3580228,0.42536452,0.4520781,0.43341088,0.38553885,0.34216014,0.33283103,0.3677224,0.42759648,0.4817383,0.50099903,0.47336152,0.4016541,0.3051372,0.2093613,0.13611095,0.09258467,0.07491916,0.07920998,0.109972954,0.1754876,0.27420714,0.3853465,0.47360006,0.5069441,0.47670123,0.40520868,0.33787683,0.3134484,0.3393903,0.38039812,0.38991177,0.3443958,0.2688503,0.21475892,0.22654307,0.31061015,0.43804657,0.5665061,0.66632897,0.73094255,0.77043533,0.7988499,0.825838,0.8531795,0.8742617,0.87386197,0.8354613,0.75046253,0.62831444,0.49247682,0.37110543,0.28175804,0.22782438,0.20054804,0.19067596,0.19563664,0.22237508,0.2777265,0.35888514,0.4458003,0.5096093,0.5259537,0.49330163,0.43709803,0.3973521,0.4024787,0.44954562,0.5102034,0.55110013,0.5536647,0.5143906,0.44089147,0.34699854,0.25266674,0.17625032,0.12883992,0.1129205,0.13091205,0.18732154,0.28077886,0.39243034,0.48639593,0.52922195,0.5113812,0.45755848,0.411508,0.40740123,0.44480634,0.487363,0.49133098,0.43797207,0.35071862,0.27721554,0.26036796,0.31206432,0.41182232,0.52234393,0.61294085,0.6722162,0.7055281,0.72338945,0.7324992,0.73456067,0.7283519,0.71129006,0.6784725,0.6231035,0.5406303,0.4348347,0.321314,0.22068001,0.14805804,0.10495195,0.082980596,0.071681105,0.06468911,0.059611205,0.055742398,0.052646752,0.050561454,0.053279787,0.07006674,0.114800274,0.19525422,0.30532384,0.42171994,0.5195371,0.5828812,0.6130156,0.61871105,0.6102347,0.5935889,0.5737011,0.55667686,0.5500078,0.5581625,0.5783484,0.60112983,0.6169229,0.62191325,0.6178341,0.604221,0.57294875,0.5118621,0.41766152,0.3038102,0.19538355,0.113550894,0.06486202,0.042268485,0.034188658,0.031995628,0.03197275,0.033763867,0.037731137,0.043566223,0.049732838,0.057376128,0.07411265,0.116621435,0.19965458,0.32358083,0.4642361,0.5864821,0.66198075,0.6862585,0.6748838,0.6539441,0.6454358,0.6583546,0.68307585,0.6965249,0.67335457,0.60135883,0.4878639,0.35824552,0.2417474,0.15812896,0.10975025,0.089231044,0.091301896,0.12088218,0.18545528,0.28397632,0.39882627,0.5051901,0.5818486,0.6195579,0.6146536,0.56547236,0.47426558,0.35561097,0.23705663,0.14872232,0.11246511,0.13471456,0.20798755,0.31072953,0.41549048,0.4985827,0.55198807,0.58092475,0.5929734,0.5863146,0.55001944,0.4765722,0.37334204,0.26725465,0.19283283,0.18032156,0.2379814,0.34961382,0.47583804,0.57803434,0.6351369,0.6540771,0.65453357,0.655016,0.66298217,0.6765871,0.68563414,0.67442936,0.62842107,0.54375523,0.43206105,0.3152661,0.21505202,0.14344051,0.101044804,0.08168048,0.08059946,0.10046291,0.14878072,0.22966261,0.33184966,0.4294599,0.48967874,0.494032,0.4488455,0.38910866,0.3555882,0.3733447,0.43286172,0.50226426,0.54374576,0.53417814,0.46905577,0.36462152,0.24972755,0.15334086,0.09103189,0.06358708,0.0683702,0.10923245,0.19265024,0.3125082,0.44118047,0.53837085,0.57210606,0.5369868,0.45698485,0.37335834,0.3193302,0.30091926,0.29491422,0.27313545,0.22761513,0.17786019,0.15533136,0.1805349,0.25317165,0.35298952,0.4552498,0.5402935,0.6009629,0.63680357,0.65231067,0.6531694,0.6472419,0.6403572,0.63583905,0.6336438,0.63333946,0.63399297,0.63474065,0.6344671,0.6329668,0.6310184,0.6297786,0.6294276,0.6290937,0.62749106,0.624463,0.62102985,0.6187666,0.6180847,0.6181145,0.6173329,0.61516124,0.6119023,0.6084933,0.6054404,0.60304976,0.6010316,0.598923,0.59596235,0.5918471,0.58672,0.5811083,0.5753891,0.56974643,0.5644944,0.5599664,0.5567122,0.55490136,0.55499953,0.5567325,0.5596137,0.5621075,0.56361485,0.5642701,0.5654301,0.5676257,0.57045025,0.57266384,0.57350427,0.5730932,0.5721695,0.5718556,0.57311654,0.57662827,0.58166313,0.5853972,0.5812862,0.55958146,0.51055896,0.43267238,0.33707854,0.24484129,0.17371011,0.12966768,0.10597954,0.093101926,0.08414501,0.07714904,0.071507014,0.06725907,0.06601208,0.07413557,0.103907,0.16711807,0.26477897,0.37849715,0.47656906,0.527699,0.51892036,0.46263388,0.3952795,0.35735273,0.37105918,0.42349252,0.47890186,0.50077206,0.47280014,0.39963213,0.3007609,0.20071886,0.12010547,0.068341695,0.043413024,0.041378498,0.06547024,0.12524468,0.22269477,0.33976433,0.4394984,0.4851283,0.46257886,0.3905871,0.31242922,0.26795837,0.27102163,0.29686606,0.30847877,0.28458256,0.2454965,0.23228799,0.2763947,0.37149766,0.483498,0.57757276,0.6390541,0.6734523,0.6916351,0.70121145,0.70549506,0.7064175,0.70547634,0.701528,0.6922912,0.67451525,0.64758474,0.61078954,0.5633635,0.500402,0.4201391,0.3287365,0.24893577,0.21013986,0.23445211,0.31766108,0.42753783,0.51652145,0.54507595,0.5028466,0.41325402,0.32016245,0.25870535,0.23499344,0.22780281,0.21456677,0.19536476,0.19540244,0.24008512,0.32946214,0.42879128,0.49203292,0.491128,0.43868855,0.37587556,0.3453102,0.36288154,0.41602233,0.48039332,0.53781563,0.5790773,0.5960447,0.57685137,0.5162739,0.42710945,0.3457252,0.30863312,0.33163002,0.39528945,0.46791372,0.5248061,0.56169176,0.5798524,0.5771226,0.5446076,0.4819229,0.40661207,0.35443068,0.3562591,0.4172251,0.5095504,0.5939664,0.6409147,0.6398949,0.59111065,0.501786,0.38717458,0.27161288,0.17820044,0.11830107,0.08994416,0.08806605,0.11308396,0.16792984,0.247714,0.33324495,0.39828774,0.4221779,0.40247163,0.3564403,0.316754,0.3123984,0.3536537,0.42024517,0.47624025,0.48677135,0.44008884,0.34822777,0.24167131,0.14994143,0.089497425,0.060046922,0.056352083,0.079632826,0.13887125,0.23789263,0.36283204,0.4811348,0.5565202,0.56752354,0.5206893,0.4499328,0.39876345,0.39336303,0.42137253,0.44267592,0.42135337,0.35845527,0.29112536,0.26517132,0.3026006,0.3901194,0.49310318,0.5786236,0.6316416,0.6549844,0.6603463,0.65891236,0.657085,0.6564037,0.6559267,0.65412116,0.65072703,0.64599174,0.6406588,0.63489586,0.6291581,0.623907,0.61965626,0.61618704,0.6126835,0.60867953,0.6047463,0.60245615,0.60294634,0.60616666,0.610635,0.61451936,0.61646885,0.6164476,0.6152864,0.6142377,0.61375743,0.61387676,0.6140284,0.6142054,0.61447996,0.6153062,0.61657125,0.6178796,0.6186783,0.6190527,0.61947346,0.62027,0.6209996,0.62102276,0.62000036,0.6185786,0.617724,0.6185619,0.6211734,0.62492627,0.62841797,0.63119507,0.6337815,0.63779145,0.6436791,0.6489062,0.64491075,0.6182488,0.55606467,0.45711485,0.33666483,0.22162421,0.13520604,0.08680523,0.07064363,0.07434112,0.08516658,0.09441998,0.09736524,0.09383554,0.086208254,0.07769526,0.07015259,0.0640455,0.059050873,0.056302216,0.06040168,0.080949716,0.12769978,0.20396109,0.29938868,0.39318645,0.4605902,0.48440614,0.4639608,0.42148146,0.3938805,0.4101738,0.46811318,0.53340465,0.56180274,0.5278393,0.43622896,0.31582183,0.2010953,0.11613798,0.06827734,0.055210847,0.077126116,0.1389941,0.23995785,0.36031353,0.46327272,0.5124746,0.49446,0.42812285,0.3578558,0.3241733,0.3388473,0.3709347,0.37745896,0.33656982,0.2747818,0.24220519,0.27704975,0.37542906,0.4999825,0.6097624,0.683225,0.7237385,0.74287397,0.7512725,0.7525134,0.7488392,0.74096686,0.7290202,0.71059936,0.6823147,0.6403138,0.5819489,0.5057463,0.4148387,0.3198627,0.2423199,0.20858897,0.2368875,0.3232877,0.43802342,0.53882056,0.58879024,0.5747895,0.5112269,0.43262112,0.37162983,0.33787084,0.31597725,0.28527686,0.24613865,0.22375399,0.24538787,0.31444085,0.40054607,0.46193373,0.47031453,0.43197575,0.37937522,0.35064003,0.36502755,0.4161439,0.48411527,0.5504541,0.6034591,0.63169163,0.6199207,0.560072,0.4640288,0.37183425,0.32763383,0.35495457,0.4354423,0.52943105,0.60049206,0.63798004,0.6472927,0.6349411,0.596905,0.5302835,0.44892132,0.38927254,0.38584903,0.44571486,0.53971386,0.6293552,0.6904749,0.7204323,0.72109336,0.6883784,0.61478335,0.502817,0.37109387,0.24765933,0.15641429,0.10909744,0.10679644,0.14219153,0.20036875,0.26078746,0.30949876,0.34354314,0.36557123,0.36836883,0.34266457,0.2931313,0.2514626,0.251434,0.30121323,0.3678197,0.40538356,0.38820836,0.33335114,0.28465688,0.28261995,0.33689412,0.42489782,0.5091129,0.5596144,0.5637004,0.52524877,0.459484,0.39175287,0.3529379,0.36701205,0.43480253,0.5257647,0.59071827,0.5910414,0.527029,0.44443426,0.4030002,0.43711948,0.52945894,0.6346021,0.71137196,0.7485822,0.7507391,0.7209391,0.65195197,0.54112583,0.40287814,0.26863033,0.16837887,0.115296304,0.10180416,0.11135748,0.12893234,0.14641683,0.16020308,0.16935277,0.17561029,0.18525057,0.21042399,0.26378068,0.34975782,0.4553187,0.55461806,0.62226397,0.64755994,0.6346941,0.5927443,0.52789545,0.44667733,0.36558568,0.3132033,0.31509545,0.37456715,0.46324554,0.5401147,0.57675964,0.57537556,0.5580194,0.54871815,0.5572075,0.5802903,0.6076887,0.62913346,0.63565415,0.6204059,0.5850938,0.54253304,0.51608855,0.5220661,0.5609751,0.6127899,0.6502592,0.648438,0.59783334,0.51188517,0.43027496,0.39939094,0.4451591,0.5502166,0.67059606,0.76364446,0.8145003,0.8258846,0.80190516,0.7362878,0.62540364,0.4812287,0.3339857,0.21438085,0.13766006,0.098207645,0.08124781,0.073646314,0.069396056,0.06659004,0.066048756,0.0731153,0.10114145,0.16717374,0.2784755,0.41977993,0.5566277,0.6541685,0.6937322,0.6737365,0.60173684,0.49186692,0.36953914,0.2698438,0.22523879,0.24527077,0.30929288,0.37263665,0.39575863,0.3662934,0.31202963,0.27897343,0.3045437,0.39149714,0.5111411,0.61931354,0.67980987,0.6767284,0.6218479,0.54703736,0.49183202,0.47933063,0.5087454,0.5554901,0.5874693,0.5758062,0.51118845,0.41304326,0.32879433,0.3052634,0.35884142,0.45810786,0.5476799,0.5779289,0.5378761,0.45518497,0.3851459,0.37197042,0.42552522,0.51255053,0.59122825,0.6352455,0.6458385,0.62548393,0.573026,0.4873146,0.39226723,0.3286952,0.3312645,0.39602646,0.47851768,0.5225721,0.49922654,0.42938432,0.36642265,0.35811293,0.41455674,0.5050127,0.58332425,0.6091785,0.5681071,0.46973374,0.35108802,0.25820422,0.23276581,0.28549778,0.39347228,0.5060563,0.5821385,0.60868436,0.60409755,0.58128214,0.5399237,0.4749113,0.41202632,0.39306334,0.4448122,0.5394397,0.61322135,0.61095786,0.5315742,0.43039027,0.37563422,0.40357077,0.49386862,0.5997595,0.68010324,0.7252341,0.7446436,0.7527799,0.7574217,0.7618222,0.7682144,0.7787129,0.79283077,0.80316323,0.79339343,0.743515,0.64281625,0.5023073,0.35335526,0.22997522,0.14972971,0.10809935,0.08954174,0.080293216,0.074142136,0.07113873,0.075991146,0.09851695,0.14783728,0.22316264,0.30503014,0.36663902,0.39329234,0.3943521,0.38797083,0.3779662,0.35372755,0.31126654,0.2753242,0.2809665,0.34312117,0.43116525,0.49131465,0.48416936,0.41727588,0.33832195,0.30046132,0.32752058,0.40204382,0.48633432,0.5487147,0.57936925,0.58357483,0.5705083,0.5486527,0.52888864,0.5258624,0.5506474,0.60069555,0.654859,0.6797264,0.65004206,0.5691888,0.4796267,0.43636212,0.47232294,0.56984735,0.68291134,0.7677677,0.80900306,0.806331,0.76037985,0.6678912,0.53497154,0.3856949,0.25371784,0.1647872,0.123348564,0.11629965,0.124886274,0.13570887,0.14293434,0.14591445,0.14608468,0.14767124,0.15901436,0.19391404,0.26198724,0.3604697,0.4671915,0.5553978,0.60441536,0.6087358,0.5688586,0.49103412,0.39073238,0.29781207,0.24844855,0.2652112,0.343544,0.4498168,0.5407792,0.584038,0.5766545,0.5429251,0.51914907,0.529201,0.5708441,0.62158495,0.6563434,0.6622134,0.6375022,0.58883125,0.5293488,0.48175773,0.46894905,0.50162417,0.5658733,0.62829494,0.6486314,0.6057908,0.51289725,0.42204404,0.38931575,0.44170046,0.5521881,0.66998553,0.7519524,0.7876099,0.7800431,0.73059154,0.6347309,0.4998338,0.35211518,0.22538511,0.14064713,0.09694562,0.07946838,0.07291367,0.06905044,0.06551547,0.06216611,0.060078576,0.0642791,0.08666346,0.14258848,0.23904614,0.36394677,0.48719606,0.57711834,0.6139249,0.5941422,0.52423173,0.42044768,0.3093188,0.22500877,0.1957857,0.22746699,0.29666463,0.35889307,0.3763883,0.3415066,0.28583917,0.25655726,0.28691337,0.37353685,0.4817493,0.56638694,0.597742,0.57709503,0.5325813,0.5014995,0.50647753,0.5445971,0.58888745,0.60258454,0.55986446,0.46329752,0.3508567,0.27524656,0.2735398,0.3423188,0.4424889,0.5241336,0.5495155,0.51111513,0.4310669,0.35986564,0.34380385,0.40104064,0.5009473,0.5966328,0.65470535,0.67635995,0.67254543,0.6433478,0.5787458,0.4828228,0.39025512,0.34602165,0.37285304,0.4467039,0.51288503,0.52399725,0.47411394,0.4046133,0.37037718,0.40411994,0.48992714,0.5812145,0.62448645,0.5934264,0.4951955,0.3718497,0.27653667,0.2524199,0.305814,0.40606514,0.5016558,0.5583108,0.5736639,0.56793183,0.54913205,0.51181155,0.45582724,0.41264006,0.4203073,0.48693553,0.56708145,0.59959453,0.55509484,0.46762884,0.40342024,0.4143895,0.49803725,0.61214197,0.7079618,0.7640833,0.7855589,0.78942233,0.788598,0.78902394,0.79221773,0.79802585,0.8050983,0.8112642,0.8148915,0.81604195,0.8161556,0.8165767,0.8183332,0.8219147,0.827725,0.83420354,0.8391233,0.840463,0.8394894,0.83862275,0.84028673,0.84401196,0.84827566,0.8504731,0.84939384,0.8441367,0.83532816,0.8235519,0.8113373,0.8025028,0.8005727,0.801266,0.7882569,0.73708075,0.63252,0.4830099,0.32204303,0.1869307,0.098934114,0.054258008,0.036773827,0.030606136,0.027906513,0.025972083,0.024368765,0.02293112,0.021690195,0.020690566,0.019820983,0.018907413,0.017854579,0.016765332,0.015809296,0.015090483,0.014535844,0.014003442,0.013406956,0.012801744,0.012273267,0.011779438,0.011101049,0.00997071,0.008302369,0.0062737744,0.0042575956,0.0025987558,0.0014769972,0.0008716926,0.00085525424,0.001890474,0.0050664353,0.011346544,0.020946445,0.032892317,0.046197265,0.059950132,0.072749496,0.08117213,0.08152234,0.07324495,0.06166808,0.055022903]