[0.039769083,0.048683554,0.07146511,0.10566523,0.14044388,0.16116452,0.15833789,0.13666664,0.111380585,0.09881384,0.10580921,0.128133,0.15625535,0.18318248,0.20829451,0.23316805,0.2574586,0.2762811,0.28538382,0.28354725,0.27515683,0.26525304,0.25683364,0.2470308,0.23112004,0.20611025,0.17415117,0.13946663,0.10659177,0.0807889,0.06956334,0.079908855,0.11201156,0.15709831,0.20124896,0.2337091,0.25062922,0.2539658,0.24701762,0.2325929,0.21399255,0.19566357,0.1824211,0.17603885,0.17534305,0.17657714,0.17724915,0.17571162,0.17203611,0.16615535,0.15950233,0.15431659,0.15322955,0.15708989,0.1657185,0.17997749,0.20253772,0.23429318,0.26995993,0.29799226,0.30643567,0.2900938,0.253771,0.21038763,0.1745615,0.15564291,0.15324496,0.15952604,0.1660826,0.16975248,0.17267877,0.1778509,0.18573123,0.19404127,0.19993703,0.20176268,0.20038761,0.19930662,0.20295292,0.21333031,0.2273516,0.23859704,0.24185915,0.23731063,0.22921002,0.22167806,0.21533366,0.20834607,0.19940637,0.1891451,0.17910023,0.17045362,0.16433875,0.1627571,0.16800459,0.18043946,0.19722687,0.21409686,0.22930916,0.24391909,0.25804555,0.2657525,0.25827423,0.23158908,0.19301927,0.15541199,0.12767531,0.10839816,0.09256355,0.07992581,0.077713765,0.092625,0.12267983,0.15773146,0.18717372,0.20769526,0.22183047,0.23277646,0.23974116,0.24070339,0.23664409,0.23260425,0.23332174,0.2378193,0.24071348,0.236863,0.22689138,0.21474929,0.20443664,0.19711298,0.19363005,0.19584481,0.205586,0.22186877,0.23964041,0.25294697,0.25743,0.25299448,0.24207497,0.23021834,0.22457463,0.23184001,0.25216827,0.27578506,0.28721324,0.27542728,0.24223723,0.20098807,0.1681935,0.15391971,0.15793532,0.17196648,0.18670255,0.19691025,0.20313902,0.20792687,0.21345413,0.21983989,0.22711523,0.23434795,0.24020094,0.24229318,0.2402823,0.23573655,0.23114659,0.22644918,0.21997464,0.21077555,0.20071597,0.19255471,0.18734933,0.1842023,0.18213803,0.18217051,0.18585867,0.19331306,0.20141202,0.20646368,0.20724691,0.20671964,0.20916481,0.21720825,0.23108155,0.25017664,0.27165717,0.2876897,0.28632626,0.2600803,0.21518703,0.17016159,0.14531372,0.14803678,0.17149828,0.1992212,0.21988733,0.23071949,0.23853152,0.24864618,0.26238295,0.27525797,0.2836405,0.2858818,0.28351107,0.27909175,0.2760653,0.27701887,0.28206995,0.28743127,0.28765473,0.27907702,0.26356685,0.24774517,0.23956631,0.24244548,0.25266206,0.2612127,0.25967398,0.24525122,0.2218601,0.19817017,0.18367444,0.1853054,0.20327234,0.23144013,0.25992504,0.28160715,0.29189962,0.28753814,0.26394552,0.2216741,0.17050965,0.12944601,0.1147557,0.13075691,0.1662816,0.20467097,0.2337553,0.2524686,0.26597413,0.27938378,0.2926637,0.30283308,0.30682614,0.30466813,0.29829034,0.29070267,0.2835781,0.27757266,0.2714671,0.26335943,0.25113234,0.23519324,0.21934229,0.20979522,0.21050797,0.22057103,0.23493578,0.24937528,0.2620927,0.27323672,0.28189084,0.28734878,0.2896644,0.29000142,0.28828278,0.28325734,0.27406105,0.2615982,0.2470211,0.2292986,0.20497422,0.1723199,0.13591197,0.107693516,0.10067663,0.12036719,0.15991823,0.20437841,0.23993628,0.2606983,0.26817235,0.2659395,0.25641093,0.24156617,0.22591995,0.21529292,0.21330917,0.21813424,0.22574161,0.23460518,0.24729101,0.26592135,0.28770968,0.3061261,0.31586602,0.31652883,0.31134415,0.30410266,0.29766187,0.29436487,0.2960483,0.30236617,0.3092743,0.31101465,0.30399996,0.2901275,0.2744684,0.2614548,0.2519332,0.24495809,0.24006402,0.23743464,0.23693739,0.23685496,0.23621862,0.23464292,0.23344965,0.23290479,0.23346712,0.23540388,0.24103658,0.2526373,0.27102706,0.29268333,0.31188866,0.32289007,0.3244485,0.31807002,0.30673864,0.28995177,0.26744547,0.2411073,0.21899112,0.20826727,0.21092343,0.22028553,0.22718632,0.22416306,0.20860487,0.18236834,0.15180965,0.1264909,0.11548587,0.12235004,0.14335452,0.1693728,0.19201453,0.20679176,0.21451272,0.21715552,0.21612538,0.21056537,0.20145582,0.1906377,0.18140413,0.17233814,0.1612425,0.1465625,0.13481636,0.1349902,0.15335017,0.1853535,0.22000007,0.2469598,0.2636954,0.2736629,0.2814463,0.28988197,0.30059743,0.3152951,0.33352968,0.35374793,0.37552676,0.40574422,0.45129704,0.51171017,0.57001615,0.6076341,0.6152689,0.60129905,0.5781173,0.55507416,0.5368664,0.528892,0.537863,0.5639763,0.598744,0.6241726,0.62661415,0.6021643,0.5623644,0.5225162,0.4949397,0.4820203,0.47901168,0.4777951,0.4693226,0.44698393,0.40638605,0.35015276,0.28786576,0.23619871,0.20906033,0.2107824,0.23308797,0.2634838,0.29214945,0.3144977,0.32723108,0.32667053,0.31155446,0.2858057,0.2581015,0.23633488,0.22476184,0.22407956,0.23429112,0.25542945,0.28529584,0.3176231,0.341802,0.34721395,0.32883963,0.2915597,0.24886656,0.21583612,0.2025841,0.2105125,0.23467745,0.2661718,0.29664314,0.32044107,0.336934,0.34822127,0.35603392,0.35964593,0.35723245,0.3490672,0.33619955,0.31858182,0.29204825,0.25408426,0.20819445,0.16746075,0.14575903,0.14948678,0.1715418,0.19839936,0.21805513,0.22551884,0.21937607,0.20006244,0.17061491,0.14039825,0.12049937,0.11787552,0.13187192,0.16319178,0.21950035,0.3073384,0.41776237,0.52056086,0.5874954,0.6078231,0.59589297,0.5680849,0.5378268,0.5117116,0.5012176,0.5139846,0.54857725,0.58868575,0.61493033,0.6161194,0.59489346,0.56322557,0.53249097,0.50934726,0.49281955,0.4794713,0.46390322,0.44271147,0.4131492,0.37560692,0.33246496,0.28708857,0.24203765,0.1995097,0.16380571,0.14064887,0.13553172,0.1504714,0.1826169,0.22359681,0.26131752,0.28608418,0.2953304,0.29471406,0.29149827,0.290035,0.29066098,0.2934989,0.29968405,0.30916783,0.31876662,0.32367817,0.32263592,0.31978548,0.3212993,0.3296347,0.34099922,0.3492278,0.35019866,0.34423065,0.33377755,0.32149395,0.30999348,0.30262363,0.30263457,0.31060103,0.32266352,0.33252588,0.33360243,0.32208517,0.2958527,0.25748384,0.21465074,0.18155845,0.17097682,0.18648648,0.21776421,0.24811107,0.26539826,0.26815477,0.26083335,0.24660821,0.22528845,0.19863842,0.17326458,0.15723372,0.1541516,0.16466273,0.19455253,0.2551508,0.35104617,0.46525136,0.5637794,0.6175609,0.62123656,0.59202933,0.5522272,0.5185123,0.4992492,0.5025947,0.53052425,0.57833546,0.6263411,0.65708345,0.6589964,0.63893515,0.60707074,0.5757553,0.5492894,0.5297778,0.5144631,0.49890652,0.47662702,0.44353938,0.40025857,0.35182858,0.30241188,0.25229466,0.20010535,0.14975959,0.11193367,0.098176695,0.11150315,0.1434245,0.17952263,0.20849432,0.22707875,0.23830287,0.24668999,0.25540826,0.2663807,0.28132686,0.3011262,0.32386684,0.34412608,0.3547195,0.3512586,0.3346536,0.31101817,0.28711674,0.26806438,0.25628313,0.25348285,0.25926128,0.27042344,0.28088176,0.28642583,0.28712675,0.28667426,0.28709963,0.28720868,0.28482005,0.2817886,0.2828094,0.29073617,0.30123827,0.30696252,0.3033562,0.2928137,0.27941132,0.264509,0.24673383,0.22689521,0.21020244,0.20089264,0.1967846,0.1892607,0.17331474,0.15496151,0.14833963,0.16296433,0.19711953,0.24328308,0.30158648,0.37588248,0.46511158,0.5478191,0.59958166,0.6055384,0.57802624,0.5398123,0.5118549,0.5018609,0.50975484,0.5353686,0.57457334,0.6177957,0.6456084,0.64448553,0.61231357,0.56211215,0.50910115,0.4648347,0.43492356,0.4191668,0.41145065,0.39864424,0.36880514,0.3186805,0.2594163,0.2113231,0.19182505,0.20461698,0.2367599,0.26953122,0.29153207,0.30300155,0.30886194,0.30787337,0.29549703,0.27124545,0.24561512,0.23192252,0.23576196,0.25196168,0.27171907,0.29160127,0.3123674,0.33332554,0.34872857,0.3529313,0.34708259,0.33999923,0.34104642,0.35261035,0.36872816,0.38069573,0.38327765,0.37653375,0.36441898,0.35154366,0.34261814,0.3400787,0.34433654,0.35200998,0.3598235,0.3655955,0.37054458,0.37452757,0.37508097,0.3670999,0.34847263,0.32168928,0.2927691,0.2664715,0.24354945,0.2219684,0.20106447,0.1858071,0.18437694,0.20151888,0.23202853,0.26408076,0.28675696,0.29540667,0.28996882,0.27496228,0.26256716,0.27324724,0.32121733,0.40026447,0.47984585,0.52970666,0.5376589,0.5173783,0.48719653,0.46025512,0.43954358,0.43052784,0.43832934,0.463662,0.4928799,0.50934887,0.50354016,0.48293498,0.45970657,0.44237974,0.43012655,0.42254624,0.4251294,0.44538024,0.482821,0.52217084,0.5467975,0.5492731,0.53768355,0.52127904,0.5041365,0.4865749,0.47379097,0.47541025,0.49399897,0.5189034,0.53195906,0.5233367,0.4985248,0.47064245,0.44826844,0.4319203,0.42149198,0.42420885,0.44728863,0.48795596,0.5236575,0.5312807,0.5027062,0.45727798,0.42105973,0.41064206,0.42207742,0.44150755,0.45434567,0.45341453,0.43854558,0.4148933,0.38774928,0.36031803,0.3338474,0.3091364,0.28650725,0.26352066,0.23809822,0.21189159,0.19275509,0.1872192,0.19445151,0.20539206,0.21164763,0.21028773,0.20340942,0.19133492,0.17352526,0.1511863,0.13147669,0.12220765,0.12703073,0.14224757,0.16081268,0.17649138,0.18637739,0.1899022,0.18770516,0.18100552,0.17308563,0.16751762,0.16690145,0.1691323,0.17058843,0.16785915,0.16166759,0.15429355,0.14838009,0.14473699,0.14323008,0.14313285,0.14356497,0.14349556,0.14259878,0.14213638,0.14542748,0.15543017,0.17258091,0.1929353,0.21092768,0.22107096,0.21970005,0.20358221,0.17194963,0.12866227,0.08392763,0.049918488,0.035286292,0.041517925,0.06560305,0.10478929,0.15842964,0.22425927,0.29280442,0.3492439,0.38163432,0.38913766,0.38017347,0.3645645,0.34841827,0.33493578,0.32796988,0.3301241,0.34032497,0.35162008,0.35661468,0.35164833,0.34001294,0.32718074,0.31721047,0.31004694,0.30456302,0.3004358,0.2984238,0.29815367,0.29748532,0.29462302,0.29059586,0.2891387,0.29341158,0.30286467,0.31312147,0.31862476,0.31506038,0.30077222,0.27685452,0.24791385,0.22063999,0.20107092,0.1908917,0.18676202,0.18326898,0.17710079,0.16992356,0.1659232,0.16724782,0.16971488,0.16581562,0.15168132,0.13312508,0.123215385,0.13243015,0.16040877,0.19551396,0.2246604,0.2413656,0.24807446,0.2499321,0.25037614,0.24978502,0.24801104,0.24539204,0.24273942,0.24050854,0.23890664,0.2377789,0.23617776,0.23187137,0.22277217,0.21012364,0.19978887,0.19941886,0.21150298,0.23128082,0.24948497,0.26011482,0.261704,0.25628525,0.2456556,0.23256136,0.21999598,0.21039863,0.20351803,0.19822669,0.19447476,0.19364016,0.19610502,0.20036405,0.2042145,0.20698136,0.209329,0.2132306,0.22005647,0.23089786,0.24448168,0.2595823,0.2752383,0.2919246,0.3083261,0.32055596,0.32373732,0.31487408,0.29421178,0.2648231,0.23213579,0.20298745,0.18259652,0.17338604,0.17427127,0.1832664,0.19743846,0.21444309,0.23278956,0.25220612,0.27211347,0.2899355,0.3026208,0.30821028,0.3070098,0.29950058,0.28578416,0.26687157,0.24641562,0.2301116,0.2220161,0.22259027,0.22923405,0.24003983,0.2547662,0.2738705,0.29495302,0.31325832,0.32362652,0.32481638,0.3193176,0.31145477,0.3036624,0.29594806,0.28786877,0.2797192,0.27231035,0.2640438,0.25230172,0.23568411,0.2175561,0.2036854,0.19785495,0.19884026,0.20276761,0.20855136,0.21840529,0.23404801,0.25150612,0.2637885,0.26685813,0.26357207,0.26038316,0.26157644,0.26723635,0.27468506,0.2812191,0.284616,0.2831076,0.27618968,0.26459467,0.25071716,0.23648417,0.22363155,0.21254326,0.20366484,0.19788082,0.19685204,0.20090753,0.20581271,0.20410363,0.1904394,0.16831018,0.1487351,0.14275448,0.15387619,0.17799,0.20884526,0.24249919,0.27667508,0.3087524,0.33488014,0.35259828,0.36142996,0.36321965,0.3601584,0.3546634,0.34835044,0.34155643,0.33264574,0.3193605,0.30141464,0.2822937,0.26761314,0.26128018,0.2625158,0.2668307,0.26872215,0.2638093,0.24911384,0.22402383,0.19223009,0.1615082,0.13988394,0.13021867,0.12972508,0.13318282,0.13701127,0.1395515,0.14071019,0.14235084,0.14782421,0.15960437,0.1755477,0.1904847,0.199843,0.20386495,0.20590551,0.20955622,0.21580578,0.2235048,0.23047245,0.23498213,0.23629834,0.2347535,0.23121393,0.22669233,0.22220607,0.21861772,0.21634154,0.21508168,0.2141516,0.21303357,0.21183418,0.21112484,0.21139844,0.2124713,0.21341562,0.2132682,0.21193488,0.21025164,0.20893405,0.20754932,0.2049603,0.20075703,0.19603162,0.19259135,0.19144265,0.19232862,0.19420177,0.19621718,0.19799197,0.19933349,0.19992127,0.19912542,0.19659995,0.19258446,0.18821073,0.18474543,0.18254398,0.18048628,0.17647041,0.16926266,0.15982722,0.15181686,0.15024136,0.1590771,0.17864423,0.2048238,0.23139274,0.2547361,0.27537534,0.29563403,0.31338418,0.32175517,0.31394696,0.29163516,0.2667996,0.25392008,0.2602427,0.27967718,0.30113629,0.31650734,0.32768503,0.33959612,0.3552051,0.3711094,0.38197866,0.3842789,0.37851813,0.36810312,0.35529432,0.34104756,0.32373115,0.30293843,0.27793697,0.25221312,0.23279892,0.23115648,0.2536521,0.29830107,0.35557035,0.41880468,0.48670927,0.5578497,0.62283903,0.6650507,0.6736906,0.65182847,0.6160179,0.5825145,0.5593565,0.5451285,0.5355974,0.5278633,0.52113247,0.51562834,0.51324487,0.5187392,0.53957415,0.57789516,0.6250108,0.6611913,0.67198944,0.65826654,0.63506263,0.61392003,0.5927625,0.56012684,0.50847566,0.4433479,0.38039243,0.33531785,0.31351534,0.3078963,0.30792618,0.30856803,0.313398,0.3253744,0.34309193,0.36089316,0.37743476,0.39462435,0.41552913,0.4394234,0.46696988,0.50004214,0.54086787,0.58218783,0.6127744,0.6229157,0.616475,0.6030431,0.59291726,0.5892863,0.59311056,0.60420734,0.6191788,0.6306605,0.62873536,0.61212784,0.58688855,0.5651708,0.55284745,0.55121726,0.5571428,0.5700007,0.58688444,0.60044795,0.5946951,0.55700916,0.48753762,0.4078311,0.3443867,0.3126588,0.30362952,0.2993813,0.28934014,0.2805171,0.28383353,0.30207703,0.32757834,0.35152957,0.3697839,0.380747,0.38428354,0.3840482,0.39197728,0.42240164,0.48057392,0.55193424,0.60920864,0.6298752,0.6132634,0.5771246,0.54264027,0.51964176,0.50755,0.50292,0.50495964,0.5131137,0.5246105,0.53714186,0.5528042,0.5762894,0.60617685,0.6311989,0.63865083,0.6271519,0.60860974,0.59371394,0.5797413,0.55234295,0.5019391,0.43426964,0.3674208,0.32000485,0.29952458,0.30171588,0.3140248,0.32630458,0.3333743,0.336284,0.33702362,0.33857563,0.34387043,0.35599282,0.37559077,0.40219954,0.4354811,0.47750506,0.52576965,0.57199734,0.60106814,0.6055636,0.5876791,0.5604217,0.53391564,0.5145804,0.50476974,0.50868034,0.52834845,0.5587823,0.5851984,0.59210974,0.5748322,0.5444425,0.51817733,0.506885,0.510626,0.52388513,0.5422438,0.5591805,0.56405693,0.5441818,0.50030524,0.45353654,0.43436825,0.456666,0.49955383,0.5243212,0.5036267,0.4469004,0.3848807,0.3466219,0.3378048,0.34864762,0.36512318,0.37947702,0.38980937,0.39904186,0.41506425,0.4476619,0.5013877,0.5673089,0.62347883,0.6490207,0.6373022,0.6022582,0.564125,0.5380381,0.52490944,0.519347,0.5156134,0.5126019,0.5108658,0.5110852,0.51565385,0.53152126,0.56529593,0.6140978,0.6603679,0.6847823,0.68114954,0.66045505,0.6340584,0.6003134,0.54849297,0.4758071,0.39663294,0.3322381,0.29580805,0.28442094,0.28731146,0.2954692,0.30703214,0.32236242,0.33937144,0.3524274,0.3574842,0.35530445,0.35106763,0.35017073,0.35728166,0.37759256,0.4162691,0.47170624,0.5309534,0.57451385,0.5913015,0.585535,0.57265514,0.5647091,0.5663936,0.5759602,0.5933492,0.6164301,0.6401178,0.6519061,0.6435645,0.61549336,0.58087724,0.5524203,0.5365134,0.53085876,0.532114,0.5373461,0.5406773,0.5304412,0.4948866,0.43370393,0.36306837,0.3074415,0.28407693,0.2931612,0.32113102,0.35186937,0.37567535,0.39128336,0.40043727,0.4041203,0.40011525,0.38773993,0.36899307,0.35031226,0.33936074,0.34617832,0.38106105,0.44669423,0.5287382,0.5952527,0.61848927,0.59363794,0.5444103,0.4997714,0.47568548,0.46887723,0.46983573,0.47199342,0.4738731,0.47559795,0.47857794,0.4878544,0.5109818,0.54986286,0.5930886,0.62029356,0.61869496,0.5954308,0.5678002,0.54495734,0.51811403,0.47685906,0.42293987,0.37220106,0.3370407,0.31874457,0.31181458,0.31706908,0.34119892,0.38610134,0.4370828,0.4697142,0.46679318,0.43317345,0.3895843,0.35552728,0.33514547,0.3204746,0.30479255,0.29118943,0.28880164,0.30253085,0.33022615,0.36719486,0.4096814,0.4505274,0.4764634,0.47755203,0.4616867,0.45522606,0.48028436,0.5324383,0.58118117,0.5978479,0.57731396,0.5373796,0.49883398,0.47386208,0.46585616,0.4753487,0.4967455,0.51777977,0.5203158,0.4946808,0.444688,0.38959813,0.34857896,0.33186567,0.3362663,0.35447952,0.38261056,0.4176617,0.45363498,0.47817636,0.48676702,0.48529217,0.48750925,0.49682522,0.50465834,0.50119597,0.49132946,0.49298677,0.51939976,0.56255966,0.5982559,0.6052471,0.5838149,0.55037856,0.5234116,0.5081766,0.500668,0.49441376,0.48826146,0.4832896,0.48139963,0.48455963,0.49863377,0.5282482,0.57097,0.61039406,0.6295293,0.62180275,0.60017234,0.57935935,0.5654736,0.5500003,0.52648234,0.4965513,0.47111276,0.45822546,0.45939383,0.46944734,0.48270595,0.49488512,0.50351995,0.5058794,0.50074655,0.48949364,0.47726583,0.46883893,0.46645275,0.4699113,0.48057458,0.5030342,0.53841025,0.5796997,0.609694,0.6158895,0.59619147,0.5627642,0.5275794,0.50038534,0.48508334,0.48689136,0.5057905,0.5367783,0.56567496,0.5815801,0.57942843,0.5659856,0.5494183,0.5368212,0.52953595,0.5282611,0.5345271,0.5478172,0.5623205,0.56560725,0.55037117,0.518571,0.48324144,0.45479086,0.43754363,0.42774782,0.42236722,0.41970074,0.42012882,0.4214461,0.4204565,0.41498592,0.4076384,0.40444708,0.4094595,0.42264232,0.44075593,0.46702346,0.507066,0.56320953,0.6191971,0.65139514,0.64293694,0.6023974,0.55310565,0.51745754,0.50195014,0.5010002,0.5056427,0.5101557,0.51217324,0.5116417,0.5118913,0.52014893,0.5418041,0.5721579,0.5959229,0.59921545,0.5831228,0.56082004,0.54465616,0.5343433,0.5238214,0.50941473,0.49464726,0.4832283,0.47578382,0.47012934,0.46521005,0.46225408,0.4632164,0.46916118,0.47880816,0.48951897,0.49813828,0.50369436,0.50707525,0.5112741,0.51899767,0.5334415,0.5551434,0.58022213,0.5983631,0.59948117,0.5813009,0.5527008,0.5269458,0.5129374,0.51181203,0.52078086,0.53739077,0.55819327,0.57447404,0.57313234,0.5469397,0.5038496,0.46367976,0.44281733,0.44275558,0.4535799,0.4665123,0.48042023,0.49702868,0.5133056,0.52324516,0.5269685,0.5360164,0.56274253,0.60612756,0.64611024,0.6606526,0.64185894,0.60265213,0.56177306,0.53193784,0.5145962,0.5063446,0.50339174,0.5034928,0.50554913,0.5105559,0.5220517,0.54558915,0.58162516,0.622227,0.6495277,0.6499379,0.62097293,0.57589567,0.52998286,0.49409476,0.4696187,0.45512488,0.44888902,0.45076606,0.45957842,0.47425318,0.49591628,0.529012,0.5739216,0.62063575,0.65081984,0.6532423,0.63381284,0.61002713,0.5949996,0.5874927,0.57943493,0.5647097,0.545667,0.52702165,0.5129736,0.5045052,0.5018025,0.50515455,0.5144152,0.5278633,0.54171234,0.5527196,0.55991924,0.5650215,0.5697321,0.5755941,0.5839901,0.59752244,0.61521703,0.6317694,0.6376033,0.62876064,0.6081187,0.58468276,0.5644446,0.5500312,0.542056,0.5424192,0.552604,0.5689687,0.58358663,0.58721495,0.5788024,0.5638307,0.5519162,0.54664546,0.547355,0.550631,0.5570069,0.5672231,0.5799916,0.58798033,0.5853856,0.5716035,0.5541582,0.53993934,0.53162146,0.52553034,0.51743215,0.5053049,0.4911041,0.47762108,0.4657406,0.45406,0.44197258,0.43239006,0.4287401,0.43227652,0.44197366,0.46099094,0.49518406,0.5448749,0.5951933,0.6230891,0.6147861,0.5778337,0.5335358,0.4997163,0.48067752,0.47077632,0.46374324,0.45688918,0.45046654,0.44559875,0.44574347,0.45686352,0.48238072,0.51578,0.5403757,0.5426667,0.52526635,0.50590986,0.4986743,0.50115013,0.4985042,0.48223376,0.45770514,0.43773568,0.42894173,0.42978582,0.43645176,0.44981754,0.4707985,0.49554786,0.5116164,0.5097603,0.4893194,0.46232846,0.44068122,0.43055388,0.4287771,0.430251,0.43202913,0.43457413,0.43874672,0.44470462,0.4533173,0.46891394,0.49362484,0.52323014,0.54386187,0.5464683,0.53448844,0.5242915,0.52768826,0.5407738,0.54890513,0.53939384,0.5139317,0.48192164,0.45525718,0.43995354,0.4396781,0.45556334,0.48398837,0.5147446,0.5335589,0.53574705,0.52960515,0.53068393,0.5427994,0.5543241,0.5505853,0.53222656,0.5156508,0.5142569,0.5246467,0.5318281,0.52925944,0.5245401,0.527543,0.534807,0.53125954,0.5061872,0.46234456,0.41227767,0.36612952,0.3279496,0.29795513,0.27622887,0.26247075,0.25382358,0.24494964,0.23056084,0.20989765,0.18951075,0.17951451,0.18642668,0.20621508,0.22845818,0.24324639,0.24877392,0.24817908,0.24600692,0.24380118,0.24234533,0.24274373,0.24681544,0.2543672,0.2623073,0.2671636,0.2680018,0.267051,0.26634994,0.26563022,0.2620486,0.25159755,0.23091166,0.19872575,0.15826963,0.116038166,0.079547584,0.052728746,0.035643365,0.025491254,0.020133542,0.019283637,0.024487505,0.036587074,0.053465918,0.07028177,0.083456986,0.09568865,0.11490989,0.14791535,0.19226561,0.23768531,0.27267894,0.2928346,0.30048576,0.3008964,0.29747263,0.2914475,0.2839408,0.27658665,0.27034125,0.2623491,0.24853231,0.22765492,0.20521426,0.18875133,0.18204556,0.18217105,0.18380581,0.18347234,0.18010034,0.1727941,0.16026746,0.14375718,0.12792608,0.11913013,0.12022626,0.12960263,0.14207244,0.15318166,0.16025801,0.16321899,0.16486491,0.17349972,0.20510153,0.27356058,0.37693903,0.4832867,0.5494512,0.54618216,0.48557436,0.40396562,0.33913735,0.30409503,0.29417944,0.29648802,0.30228654,0.30673954,0.3092707,0.31123438,0.31468055,0.3192549,0.32239032,0.32140183,0.31671143,0.3112974,0.30513832,0.29312956,0.26707092,0.22619937,0.1781077,0.13544105,0.105361015,0.08980959,0.08831674,0.10243111,0.13250057,0.17427589,0.21812648,0.25390056,0.276058,0.28538993,0.28614053,0.28223732,0.2761856,0.2708451,0.27051887,0.27925107,0.29686287,0.31782556,0.33434197,0.34249005,0.34411907,0.34424987,0.34584844,0.35012117,0.3600631,0.38356373,0.42728147,0.4873751,0.54331857,0.56949276,0.55119437,0.49862358,0.4361936,0.3872832,0.35867217,0.3452234,0.33654702,0.3250058,0.30583462,0.27931342,0.25027844,0.22620094,0.21113797,0.20332257,0.19740514,0.18985973,0.18216427,0.17834057,0.18075334,0.18578196,0.18643098,0.17728065,0.16123979,0.14847822,0.15072691,0.17363544,0.21737218,0.2803905,0.36062148,0.44663322,0.5145247,0.5376148,0.50796634,0.44411853,0.3781244,0.33277336,0.3114883,0.30558047,0.30663595,0.31130293,0.31897172,0.3274673,0.3340664,0.33710122,0.33815837,0.3400329,0.3448956,0.3522975,0.35903642,0.35943043,0.34804472,0.32335374,0.29104578,0.26073673,0.24050282,0.2314008,0.23027001,0.23333353,0.23978937,0.24888416,0.2588315,0.26604712,0.26841512,0.2653246,0.25869516,0.25084096,0.24525748,0.24429719,0.25055182,0.2655712,0.2895901,0.3184755,0.34412646,0.3592416,0.36199203,0.35642743,0.3478224,0.34010538,0.33720574,0.34610566,0.3749607,0.42686024,0.49001846,0.53989357,0.5510042,0.51794666,0.45939615,0.40471303,0.37291798,0.3639119,0.36737823,0.37031528,0.36361554,0.34174266,0.31072688,0.28983638,0.30322614,0.36124536,0.44395745,0.51091486,0.52324027,0.4744185,0.38904294,0.3065771,0.25189966,0.22849946,0.22467273,0.22802883,0.2314467,0.23432726,0.24162431,0.26520905,0.31640622,0.3965641,0.48345327,0.5430164,0.54764694,0.50110084,0.4303416,0.3673894,0.32652995,0.30559504,0.2960789,0.2934017,0.2969102,0.30577448,0.31693915,0.32703224,0.33445084,0.33973205,0.34391406,0.34746468,0.35055277,0.35142377,0.34691897,0.33228534,0.30736423,0.27679625,0.24901156,0.22892015,0.21642905,0.20806058,0.20064004,0.19422257,0.19088326,0.1935252,0.20066832,0.20624562,0.20253457,0.18816173,0.1709374,0.16271621,0.171167,0.19522029,0.22948654,0.26774547,0.30548546,0.33748844,0.36041018,0.3738589,0.3818761,0.38863266,0.39742422,0.4105262,0.43351695,0.4708999,0.521929,0.5704568,0.59510016,0.57898885,0.52897245,0.46613586,0.41540208,0.38563454,0.3727975,0.3636491,0.34635827,0.31280458,0.26381317,0.20850325,0.16063498,0.12959777,0.11627252,0.11500179,0.11918473,0.12495548,0.13056706,0.135911,0.14120872,0.1476661,0.15578163,0.16541237,0.17552678,0.18591441,0.19968878,0.22461565,0.2732109,0.35154024,0.4501709,0.53676814,0.57710034,0.5543774,0.48711228,0.4096636,0.35272077,0.32425258,0.31802747,0.322701,0.33113083,0.3389423,0.34442696,0.34729418,0.34914374,0.35114348,0.3532989,0.35462305,0.35409728,0.35168624,0.3456373,0.33394715,0.31378528,0.2874202,0.2599113,0.2385676,0.22615862,0.22179823,0.22158198,0.22263463,0.22334583,0.22319733,0.22181292,0.21913552,0.21579899,0.21303111,0.21171312,0.21164931,0.21202414,0.21320595,0.21802716,0.23005164,0.25000373,0.27317265,0.29220426,0.30214432,0.30378127,0.3017162,0.300624,0.30373868,0.31547073,0.3432574,0.39412773,0.46352616,0.52880675,0.55785704,0.5320869,0.46327892,0.38474444,0.3279915,0.3028134,0.30220306,0.31299356,0.32692897,0.33875966,0.34835932,0.36106014,0.38789105,0.43546978,0.4952136,0.5416153,0.5474914,0.5040455,0.42933264,0.3539027,0.3007586,0.2730042,0.26193967,0.2575883,0.25701836,0.26050797,0.2679627,0.274668,0.27416214,0.26144272,0.23739065,0.20757872,0.17897213,0.15551758,0.13748829,0.12290319,0.11001307,0.097833015,0.0864321,0.07610101,0.06752139,0.06090421,0.056158423,0.052833464,0.05113286,0.05203138,0.05698668,0.06685423,0.082025014,0.10269916,0.12888937,0.15847193,0.18591382,0.20354347,0.2052387,0.1909073,0.16692866,0.14451447,0.1324384,0.13309513,0.1398892,0.14449029,0.14233305,0.13671567,0.13333718,0.13545269,0.14122862,0.14651091,0.1481718,0.14558095,0.14104901,0.13798358,0.13908623,0.14350934,0.1475689,0.14710976,0.14120714,0.13234022,0.124131165,0.11781468,0.11153755,0.10242068,0.08962872,0.07520187,0.062297303,0.052998725,0.047881175,0.047193777,0.05159713,0.06143016,0.0757358,0.09267786,0.11104804,0.13028431,0.14849506,0.16035289,0.15992238,0.14597793,0.12683548,0.11454206,0.116224945,0.12611611,0.13321836,0.13104321,0.12513347,0.124458015,0.13284624,0.14483549,0.1536536,0.15723044,0.15947531,0.16456883,0.17308474,0.18137793,0.1844622,0.17930822,0.16650133,0.14997683,0.13401823,0.121073,0.110711455,0.10166431,0.09330607,0.08673974,0.08443338,0.08908996,0.10197117,0.12054201,0.13899615,0.149922,0.14857282,0.13459219,0.11394885,0.09672923,0.09417508,0.11098528,0.1423129,0.17370337,0.19118829,0.18768974,0.16792612,0.14254944,0.12296766,0.11482891,0.11713805,0.124170445,0.12987906,0.13145588,0.12958755,0.12691954,0.12622333,0.12902403,0.1353902,0.14352782,0.15142685,0.1570005,0.15900302,0.15634978,0.14908993,0.13848434,0.12672809,0.11583609,0.106844,0.10007295,0.09547665,0.09305931,0.0927413,0.093952574,0.09588108,0.0983597,0.10381267,0.11645013,0.13936703,0.17022781,0.20189004,0.22682714,0.24178188,0.24737239,0.24389575,0.22990489,0.2049817,0.1749586,0.15100962,0.14335443,0.15334497,0.1728421,0.19113578,0.20284487,0.21004574,0.21728416,0.22686051,0.23781352,0.24886759,0.2601029,0.2724215,0.28554904,0.29765877,0.30528793,0.304649,0.2915235,0.26413247,0.22490062,0.18294835,0.15058583,0.13780458,0.14596361,0.16738397,0.18999882,0.20400022,0.20528631,0.19511288,0.17793845,0.16049896,0.1508066,0.15574421,0.17679544,0.20819966,0.24000442,0.26442346,0.27880642,0.28338838,0.2766367,0.25629112,0.22402555,0.19004454,0.16732836,0.16348447,0.1735347,0.18657641,0.19319727,0.19248258,0.1872894,0.18059833,0.17249228,0.16348904,0.15589775,0.1533454,0.15702541,0.16438784,0.17036857,0.17124383,0.166108,0.15652604,0.14496619,0.1350386,0.13211519,0.14102137,0.16203018,0.18785961,0.20837514,0.21711868,0.21568842,0.2100666,0.20538469,0.20348682,0.20432298,0.20833385,0.21538548,0.2240479,0.23044556,0.23125945,0.22434752,0.20979543,0.18801765,0.16110218,0.1339592,0.11552322,0.11504557,0.13608196,0.17212431,0.20991153,0.23826766,0.25501147,0.26521167,0.27338895,0.2783158,0.274881,0.26132163,0.24206465,0.22530092,0.21538794,0.21147783,0.20992643,0.2093274,0.21007676,0.21197335,0.21346633,0.21317548,0.21158297,0.20954573,0.20702164,0.20286828,0.1969374,0.19078149,0.18639253,0.18325348,0.17781644,0.1665238,0.14976658,0.13280226,0.12136201,0.11782596,0.11999724,0.12472693,0.12975904,0.13458914,0.13887122,0.1427884,0.14643721,0.15020655,0.15395977,0.1582896,0.16480625,0.1766838,0.1959156,0.22160989,0.24806531,0.2682649,0.27662647,0.27266327,0.2588905,0.23871939,0.21418716,0.1871981,0.16201626,0.1445326,0.13970715,0.14646734,0.15839523,0.16617994,0.16330081,0.1483296,0.12561703,0.102841735,0.086690485,0.07956275,0.07883807,0.080351636,0.0810887,0.08028751,0.078150004,0.07518064,0.07206749,0.069844306,0.07009894,0.07508067,0.0874249,0.10810771,0.13480373,0.16232444,0.18748236,0.21217884,0.24133204,0.27532813,0.30719644,0.32776955,0.334631,0.33324453,0.3318496,0.3341758,0.34117255,0.35340026,0.37393215,0.40314928,0.43776545,0.4721849,0.5053304,0.53776604,0.5680855,0.5873072,0.58919984,0.57446504,0.5547614,0.5404096,0.53649783,0.5395494,0.544108,0.5456152,0.5427463,0.53621197,0.5292475,0.527659,0.53979,0.56860894,0.606844,0.6368253,0.64552027,0.6340668,0.6153973,0.59993917,0.5869496,0.57144517,0.5511679,0.5307354,0.51425934,0.504284,0.49997118,0.5000952,0.50240403,0.5044825,0.50428396,0.500809,0.49503648,0.48894194,0.4850061,0.48383793,0.48544863,0.48996332,0.50131875,0.5226245,0.5524146,0.57922214,0.59039885,0.5805525,0.5568544,0.5306644,0.5089306,0.4931866,0.48496315,0.4900895,0.51160926,0.5437231,0.56976056,0.5759637,0.5605486,0.53640485,0.5182319,0.5136089,0.52056885,0.5335483,0.54649234,0.552618,0.5443597,0.5188413,0.48182157,0.44611335,0.42199424,0.41128895,0.40791228,0.40521872,0.40106323,0.39806843,0.39905724,0.40323853,0.4065098,0.40574002,0.40222085,0.40001217,0.40237534,0.4108275,0.42873123,0.46040854,0.50433314,0.54707885,0.56989753,0.5637443,0.5365115,0.50606054,0.48535767,0.47702882,0.4760696,0.47795463,0.4812256,0.48691538,0.49555722,0.5067425,0.52141404,0.54153603,0.5670884,0.59072495,0.6029756,0.5997192,0.58928674,0.5821753,0.5826585,0.5831082,0.57610995,0.5591803,0.5374171,0.5146453,0.49319804,0.47378704,0.45921957,0.45241472,0.45446566,0.462527,0.47167408,0.47728777,0.47831073,0.47629413,0.4747139,0.47768608,0.48966002,0.5144644,0.54835385,0.5804616,0.59365153,0.5804321,0.5456489,0.5074043,0.48133197,0.47496274,0.48534188,0.5070903,0.5350689,0.5638233,0.58272403,0.5799889,0.55103666,0.5069391,0.46757022,0.44779345,0.44864142,0.46227697,0.48331597,0.5079899,0.5299017,0.53641653,0.52399117,0.5045778,0.5011695,0.52300066,0.55719995,0.57781285,0.5706502,0.5415297,0.5083428,0.48366347,0.46863267,0.45720544,0.44498003,0.43225935,0.42173067,0.4155588,0.41658843,0.43074083,0.4624122,0.5062459,0.54387325,0.5568819,0.5402663,0.5063855,0.47146392,0.44580528,0.4307022,0.42560622,0.42952633,0.44188216,0.45924458,0.47808707,0.49692592,0.52001315,0.55274343,0.59358746,0.62966484,0.64540505,0.6377558,0.6186337,0.60400003,0.59806937,0.5945428,0.58438295,0.5648232,0.5372216,0.5049469,0.47208798,0.44443676,0.4284177,0.42706093,0.43810788,0.4539237,0.4672127,0.47431564,0.4772773,0.479983,0.48512992,0.4932468,0.5052137,0.52441055,0.55304235,0.5866926,0.61329746,0.6212444,0.6082583,0.5815603,0.55117315,0.5249713,0.5094089,0.5118823,0.5348317,0.5715223,0.60324055,0.6134483,0.5968755,0.5654185,0.53452253,0.51392317,0.50327903,0.5004131,0.50524396,0.51756746,0.5321997,0.5397582,0.5348482,0.51996374,0.50359815,0.49156645,0.48443338,0.4792951,0.47493592,0.4725449,0.47343096,0.47643682,0.47870418,0.47888997,0.47950768,0.4851775,0.49821648,0.51683897,0.537736,0.5603133,0.5837503,0.6019552,0.6028481,0.579196,0.53806406,0.49766043,0.47385153,0.468938,0.4746119,0.479877,0.47895193,0.47116974,0.4598585,0.45054078,0.45038888,0.46569455,0.49489212,0.5244696,0.5351917,0.5190751,0.49099758,0.4753549,0.48470297,0.50521773,0.5160325,0.5068778,0.48820296,0.4742037,0.47219992,0.47940946,0.49219546,0.51020586,0.53252643,0.5531738,0.5611437,0.55086714,0.5261023,0.49909332,0.4787494,0.46734682,0.4612229,0.45899191,0.4623834,0.47386125,0.4907178,0.5072994,0.5194866,0.52890545,0.53721243,0.5414054,0.535839,0.52277666,0.515384,0.52592236,0.5509262,0.57009155,0.5647277,0.5332168,0.49174884,0.4580637,0.44097558,0.43987504,0.45287457,0.47708628,0.5062488,0.52860147,0.53699857,0.53504324,0.5366178,0.5488042,0.5636818,0.5627252,0.53845173,0.5047955,0.48478818,0.48840117,0.5024938,0.511302,0.5130809,0.51993877,0.5351638,0.54345375,0.5261244,0.47988546,0.42294908,0.37502527,0.3449016,0.32652804,0.31193337,0.29655087,0.27976167,0.25925514,0.23150624,0.19598915,0.16027127,0.13821763,0.1410488,0.16862087,0.20779198,0.2420193,0.2609922,0.2651799,0.26075077,0.25422338,0.24959838,0.2502924,0.26034355,0.28382182,0.32113627,0.36783612,0.41635787,0.46009025,0.49457255,0.5158179,0.52041894,0.50756377,0.4813063,0.4469087,0.40766957,0.36411548,0.31889936,0.27752095,0.24654458,0.22915043,0.2250021,0.2307448,0.24080925,0.2485279,0.24828209,0.2380559,0.21885274,0.19454522,0.17202856,0.16219842,0.1747398,0.21103422,0.25965938,0.30344626,0.3297538,0.33762065,0.33338746,0.32347384,0.30914322,0.2897917,0.2659007,0.24038261,0.21473283,0.18975513,0.16746645,0.15301065,0.1500536,0.15662728,0.1655946,0.17101943,0.17148115,0.16892564,0.16349572,0.15434533,0.14188094,0.13139129,0.12891513,0.13749026,0.15350352,0.17036052,0.18173546,0.18544255,0.18386962,0.18566024,0.20592292,0.25989816,0.35116634,0.4608759,0.5561978,0.60982126,0.61891097,0.6011379,0.57832736,0.56301945,0.5589754,0.56878966,0.59161884,0.6190744,0.63349706,0.62278557,0.5895424,0.55020803,0.5192695,0.5004199,0.4875692,0.47248742,0.45005867,0.41954258,0.3851141,0.3527989,0.32681218,0.30593038,0.28574252,0.26211908,0.23404105,0.20249365,0.1695431,0.13756426,0.10907084,0.085793175,0.06802309,0.055147916,0.046089962,0.039883792,0.036974758,0.04282623,0.07010275,0.13262814,0.23132694,0.3451459,0.44002405,0.49211755,0.5024979,0.4913939,0.47948036,0.47685495,0.48518214,0.5049533,0.5353746,0.56943756,0.5913629,0.587143,0.5556283,0.511996,0.47467133,0.4530455,0.4443721,0.440725,0.43586993,0.4255143,0.40787402,0.38241968,0.3524295,0.32122943,0.2917521,0.2633514,0.23519869,0.20607471,0.17659825,0.14737782,0.119921975,0.09547625,0.07533822,0.059809387,0.04836625,0.04002208,0.034068216,0.03355427,0.047503144,0.09197986,0.1758941,0.29033074,0.40237546,0.47950372,0.50783056,0.5019941,0.4850172,0.4735452,0.47262228,0.4835337,0.50757176,0.54056215,0.56917614,0.575617,0.55225205,0.508347,0.46362314,0.43249783,0.41876742,0.41996047,0.43688306,0.46908236,0.5091047,0.53787947,0.53942496,0.51142144,0.4692346,0.43094242,0.40794754,0.40296388,0.41755116,0.45206618,0.49978566,0.543149,0.56319886,0.5549882,0.53317076,0.5174892,0.5144283,0.5121215,0.49684656,0.4678913,0.43813574,0.4200718,0.4166617,0.42466184,0.442655,0.4712017,0.5062475,0.5345505,0.54418606,0.5344989,0.5210578,0.51841134,0.5297378,0.54055303,0.5369199,0.51384586,0.48269817,0.4572375,0.44745913,0.45314613,0.47146973,0.4975101,0.5241707,0.5377603,0.528026,0.49904093,0.473835,0.47286296,0.49452463,0.51308805,0.50773424,0.48482165,0.46939147,0.47621146,0.49173358,0.49614236,0.4857689,0.47824955,0.48524332,0.49789515,0.49791837,0.48152173,0.46791926,0.47902727,0.5188132,0.5675923,0.6007847,0.6075013,0.5954521,0.5800979,0.57223576,0.57520646,0.5878776,0.6055646,0.619318,0.61808366,0.59832877,0.5676329,0.54000574,0.5240478,0.5183607,0.5147724,0.50479597,0.48282194,0.44771162,0.4033427,0.35824773,0.3207206,0.29396808,0.27437982,0.25544944,0.23257051,0.20489347,0.17434074,0.14357351,0.11515269,0.09096817,0.07201051,0.05832776,0.04908121,0.04303832,0.03907107,0.03990709,0.055776548,0.10473118,0.19846754,0.32645288,0.45156968,0.5339806,0.55850124,0.5428001,0.517294,0.5024629,0.50352496,0.51909566,0.5470256,0.5805529,0.6047378,0.6038589,0.57454264,0.53052837,0.49190524,0.47008315,0.46322235,0.46317884,0.46325862,0.45896164,0.44579244,0.42023894,0.3833549,0.34178117,0.30352187,0.27280512,0.24786359,0.22392114,0.19705445,0.1675242,0.13916746,0.117894374,0.10813773,0.11111733,0.12392052,0.14154063,0.15942991,0.17569996,0.19170338,0.21116196,0.23752141,0.2706141,0.3046296,0.33140954,0.34528658,0.3467792,0.33973992,0.32885006,0.31770903,0.3109502,0.31298327,0.32578608,0.34495127,0.36134496,0.36599138,0.3567756,0.33875132,0.32022262,0.30683586,0.30126,0.30473676,0.31862354,0.34050253,0.3629776,0.37579706,0.3752142,0.3654357,0.35579303,0.35023737,0.34850934,0.34883508,0.3555235,0.371833,0.3957434,0.4146831,0.41805077,0.40314475,0.3796811,0.3584884,0.34700963,0.34679854,0.35907033,0.38507685,0.4229331,0.4627804,0.48932943,0.49098006,0.46961036,0.43841302,0.41276702,0.39991012,0.40091252,0.41629744,0.44748747,0.48933247,0.52465653,0.5341235,0.51158464,0.4713358,0.43441665,0.41342306,0.4080793,0.4153025,0.4361743,0.47107902,0.511664,0.5399552,0.5420101,0.5179027,0.48206565,0.44997308,0.42977914,0.42269215,0.43002716,0.45434317,0.49312425,0.5329971,0.55453825,0.546232,0.51438105,0.47742596,0.45132467,0.44041058,0.4428866,0.45888403,0.48911747,0.52561504,0.5495591,0.54507995,0.5131628,0.4721239,0.4404967,0.42611107,0.4262453,0.43946147,0.4660767,0.5041995,0.54080063,0.559395,0.54956394,0.518032,0.48113844,0.45419177,0.44225323,0.44328013,0.45607293,0.48016664,0.51310205,0.54262304,0.55547386,0.5444302,0.517438,0.48811767,0.46759558,0.45905074,0.46366563,0.48348817,0.5178229,0.55610585,0.5812437,0.58044714,0.5570287,0.5251113,0.49933013,0.4846176,0.48075953,0.48825774,0.5096243,0.5415055,0.5681264,0.5667704,0.5234857,0.44639322,0.36163005,0.29586577,0.25955388,0.24657317,0.24437873,0.24575597,0.2495101,0.25609145,0.26222238,0.26163664,0.2503065,0.22975703,0.20674895,0.186155,0.16910307,0.15423836,0.14357501,0.1406746,0.14623685,0.155167,0.16128677,0.1621678,0.15929492,0.15329261,0.14231163,0.124889694,0.10361325,0.08495942,0.07457409,0.07442728,0.08136427,0.09062784,0.097803235,0.101469584,0.10252484,0.10418344,0.11092786,0.12649687,0.15081196,0.17784463,0.19879954,0.20689511,0.20183791,0.18820006,0.17250793,0.15922177,0.15002938,0.1439687,0.13931243,0.13485175,0.13056631,0.12712921,0.1252324,0.12466451,0.124292366,0.1225628,0.11957556,0.1173647,0.11818427,0.12139621,0.12310178,0.11925306,0.10873119,0.09411317,0.07984548,0.0712423,0.073443,0.090701215,0.12293217,0.16533332,0.20807374,0.24267209,0.2639618,0.2730141,0.2725315,0.26576737,0.25499508,0.24337572,0.23467255,0.23112434,0.23202898,0.23381162,0.23365201,0.23105884,0.22806387,0.22629325,0.22574568,0.22497863,0.2231322,0.22095656,0.22050488,0.2226972,0.2262469,0.22778451,0.225407,0.2196561,0.21331316,0.20834398,0.20526497,0.20377724,0.20358984,0.2043885,0.20496564,0.20410644,0.20138454,0.19751869,0.19293521,0.1862368,0.17507243,0.15861624,0.14095254,0.1290894,0.12847374,0.13648295,0.14449096,0.14423223,0.13639748,0.12969927,0.13336062,0.14893956,0.16968219,0.1875266,0.19881414,0.20537229,0.21001638,0.2138383,0.21620433,0.21667089,0.21596451,0.21508966,0.21475853,0.214885,0.21535331,0.21579547,0.21548194,0.21275097,0.20655213,0.19789414,0.19095321,0.18931921,0.19332938,0.19836181,0.20025568,0.19768585,0.193421,0.18976039,0.18775748,0.18674676,0.1861208,0.1853434,0.18478613,0.18600796,0.19072591,0.1986989,0.20726871,0.21297324,0.21444415,0.21228826,0.20951863,0.20871651,0.21226579,0.21913971,0.22751147,0.23488826,0.24128334,0.24694006,0.25162235,0.25314283,0.24847484,0.23539132,0.21441041,0.1898761,0.16788618,0.15298285,0.14601536,0.14534622,0.14922906,0.15633613,0.16547655,0.17509364,0.18419947,0.1925907,0.20040864,0.2076823,0.2135994,0.21699673,0.21620877,0.210573,0.2009753,0.19024847,0.18137406,0.17582719,0.1730069,0.1718787,0.17252173,0.17616719,0.18339495,0.1930008,0.20252241,0.20980532,0.21394937,0.21500178,0.2135479,0.21032071,0.20606889,0.20118652,0.1955443,0.18905942,0.18212348,0.17619044,0.1725282,0.17164147,0.17198247,0.1718743,0.17006427,0.16780002,0.167145,0.17080934,0.17942935,0.19161351,0.2037909,0.21277022,0.21693458,0.21670829,0.21370022,0.21030152,0.20908378,0.21131606,0.21594489,0.2199219,0.22088452,0.21825661,0.21317159,0.20638137,0.19825256,0.188859,0.17923017,0.1713321,0.16793536,0.17042,0.17633356,0.17924069,0.17355178,0.16016918,0.14754824,0.14490266,0.15537149,0.17395282,0.19324267,0.20820893,0.2180934,0.2239516,0.22751468,0.23035854,0.23386987,0.23816794,0.24225093,0.24445981,0.2433793,0.23764855,0.22602503,0.20837867,0.18692724,0.1666643,0.15276594,0.1479727,0.15027644,0.154707,0.1560554,0.15232976,0.14497267,0.13711351,0.13142847,0.12895088,0.1297607,0.13271151,0.13673419,0.14079225,0.14486186,0.14883012,0.15271373,0.15672015,0.1613638,0.1666042,0.17139234,0.17512017,0.17910291,0.1860472,0.19769084,0.2127039,0.22781962,0.23957677,0.2463908,0.24832547,0.24675404,0.24343848,0.23976384,0.23655431,0.2338959,0.23177685,0.22988856,0.22815062,0.22662647,0.2257458,0.225549,0.2255346,0.22491728,0.22358398,0.22223395,0.22187354,0.22293128,0.2250287,0.2271309,0.22816245,0.22740091,0.22489868,0.22120245,0.21697976,0.21251237,0.20785119,0.20318137,0.19897862,0.19586249,0.19418631,0.19404364,0.19513273,0.1969257,0.19883661,0.20063676,0.20256217,0.2048729,0.207528,0.21011494,0.21222268,0.21347208,0.21348669,0.21205537,0.20938414,0.20607221,0.20274584,0.19978578,0.197361,0.1956801,0.19518155,0.19652903,0.19908242,0.20014393,0.19572227,0.185055,0.17259753,0.16575253,0.16845323,0.17877024,0.19199382,0.20604992,0.22244047,0.24280083,0.2645869,0.2811238,0.28573844,0.27672005,0.25822774,0.23622723,0.21422799,0.1927908,0.17258172,0.1552829,0.14188866,0.13121112,0.12239393,0.11743626,0.120724775,0.13469164,0.15680431,0.18045233,0.19860458,0.20739223,0.20628215,0.19721512,0.1827879,0.1663695,0.15088207,0.13829039,0.1285208,0.12142191,0.11793723,0.12049425,0.13002743,0.14403754,0.15739554,0.16567753,0.16799974,0.16578972,0.16174878,0.15866904,0.16188727,0.17612965,0.20234732,0.23180492,0.25122547,0.24895136,0.22533531,0.19124949,0.16400182,0.15451364,0.1625974,0.17647958,0.18438445,0.18181811,0.17400692,0.16821225,0.16866559,0.17454296,0.18258803,0.18877344,0.19042242,0.18801047,0.18519582,0.18585433,0.19034405,0.19520225,0.19618408,0.19154163,0.1826665,0.17233567,0.16289817,0.15559691,0.1513352,0.15125208,0.15601198,0.16413099,0.17176493,0.17533691,0.17458673,0.17262433,0.17275949,0.17603199,0.18202396,0.19091965,0.20276712,0.21449788,0.21847124,0.20807074,0.18453915,0.15987875,0.14660679,0.14770545,0.15336804,0.15396892,0.14942938,0.14886874,0.15817411,0.17437069,0.19001184,0.20168199,0.21164234,0.22216241,0.23146336,0.23504291,0.23122041,0.22274888,0.21390508,0.2060309,0.19719033,0.18554853,0.17158449,0.15783869,0.14614075,0.13780834,0.13427046,0.13864349,0.15318607,0.17659807,0.20214401,0.22105277,0.22706367,0.21929817,0.20095472,0.17761964,0.15652907,0.14626777,0.1521433,0.17207514,0.1943328,0.20593232,0.19995122,0.1818387,0.16286518,0.15320641,0.15471977,0.16301416,0.17171924,0.17722078,0.17936467,0.1802271,0.18262099,0.18877168,0.19908781,0.21120434,0.2210648,0.2252204,0.22285295,0.2153753,0.20478772,0.19253594,0.1795556,0.16684502,0.15504558,0.14410782,0.13331069,0.12245774,0.11289018,0.10730138,0.10802648,0.11490643,0.12527417,0.13628793,0.1481935,0.1633262,0.18306313,0.20393908,0.22090918,0.23078205,0.23479593,0.23398107,0.22629459,0.20828561,0.1812601,0.15413956,0.13843001,0.1396092,0.1533304,0.16931327,0.18054156,0.18612854,0.19030881,0.19516103,0.20075394,0.20552544,0.21156377,0.22276835,0.24282753,0.27028242,0.29864636,0.3190659,0.3249699,0.3149604,0.2928491,0.2662818,0.24391264,0.23204666,0.23134528,0.2365067,0.24018557,0.238037,0.23100741,0.22262664,0.21550368,0.21010484,0.20718795,0.21005307,0.22282702,0.2464401,0.27454755,0.2974894,0.30679548,0.30076632,0.28019428,0.24764256,0.20633833,0.16582601,0.13819934,0.13219199,0.1446926,0.16477226,0.18106295,0.1898489,0.1933014,0.1955325,0.19824858,0.20108016,0.20274438,0.20242853,0.19985145,0.1954664,0.1907072,0.18844427,0.19129203,0.19956817,0.20943922,0.21582377,0.21611495,0.21287052,0.21071027,0.21219184,0.21575557,0.21815394,0.21735747,0.21343845,0.20769821,0.20216876,0.19998072,0.20439391,0.21625037,0.23190969,0.24470639,0.24912255,0.24363393,0.22939038,0.20754893,0.17864372,0.14667228,0.12129113,0.1151839,0.13484369,0.17420904,0.2172503,0.24875872,0.26358715,0.2663817,0.26396444,0.25912917,0.25041515,0.23733824,0.2223665,0.21043427,0.204026,0.20325221,0.20627151,0.21224797,0.21990943,0.22725803,0.23172271,0.23230366,0.22982888,0.22570036,0.22061014,0.21500164,0.21031938,0.20907758,0.2129287,0.22019076,0.22546917,0.22325128,0.21187983,0.19560002,0.18037383,0.17064829,0.16643696,0.1667114,0.16950394,0.17411137,0.1785553,0.18217416,0.18430738,0.18628283,0.18869098,0.19254619,0.1983614,0.20778382,0.22180645,0.24013394,0.25948942,0.27531743,0.2829236,0.2800653,0.26765135,0.24944256,0.22931375,0.20898908,0.18912727,0.172248,0.16309881,0.16529894,0.17725885,0.19292657,0.20366412,0.2024801,0.18588303,0.1578312,0.12789382,0.107361734,0.10192141,0.11031868,0.12635879,0.14343049,0.15721737,0.166268,0.17127514,0.17227696,0.16745533,0.15363397,0.12969469,0.09857126,0.06638687,0.039281465,0.020463945,0.009811169,0.004947314,0.0032237743,0.0026783475,0.00240012,0.002114644,0.0018196482,0.0015253365,0.001223653,0.0009222305,0.00065000606,0.0004345588,0.0002808034,0.00017531723,0.000103052684,5.4577933E-05,2.5148693E-05,1.0068432E-05,4.0858836E-06,2.4106007E-06,2.1408443E-06,2.163155E-06,2.361682E-06,2.7725175E-06,3.2893304E-06,3.6813587E-06,3.772352E-06,3.6047734E-06,3.3646472E-06,3.2234377E-06,3.20449E-06,3.241011E-06,3.3265178E-06,3.5311175E-06,4.995783E-06,9.500637E-05,0.0007443442,0.0032894847,0.010073073,0.023489421,0.04442082,0.0715142,0.10252648,0.1359133,0.17064227,0.20460518,0.23420055,0.25663435,0.27174398,0.2826881,0.29337534,0.30699518,0.3235353,0.3413941,0.35810438,0.37252548,0.38497043,0.39903045,0.42356345,0.46568072,0.5218458,0.571353,0.5926146,0.5795582,0.54828686,0.5203033,0.5064582,0.50348836,0.50238746,0.4974778,0.4880228,0.4765847,0.46774673,0.46767724,0.4843389,0.5194473,0.5640386,0.5988671,0.6103596,0.6009593,0.58420354,0.5696256,0.55156654,0.52025324,0.47111246,0.41426668,0.36386082,0.33217338,0.32051292,0.32362986,0.33318338,0.34398356,0.3527751,0.35723427,0.35501072,0.34625837,0.33378088,0.32161963,0.31275913,0.31139824,0.32546887,0.36356556,0.42430088,0.49005714,0.5362584,0.55009,0.5389815,0.52069706,0.50749,0.5022896,0.50617516,0.5242848,0.55907154,0.6012829,0.6300171,0.6291726,0.60073733,0.5638199,0.53748673,0.52843577,0.5319388,0.5406671,0.54792887,0.54465634,0.51915866,0.4649845,0.3897744,0.31407252,0.259805,0.23665404,0.23940974,0.25467977,0.27212623,0.2874249,0.29878852,0.30151534,0.2906097,0.2669662,0.23945445,0.217063,0.20212053,0.19342221,0.19757165,0.2303399,0.3009547,0.3959904,0.4818029,0.53076035,0.5387729,0.5244224,0.50705975,0.49610123,0.490252,0.48679098,0.48412165,0.4822553,0.48081222,0.48051128,0.48389277,0.49596158,0.51756054,0.54193646,0.5557424,0.5527039,0.53940886,0.5292451,0.52793616,0.5281648,0.51984215,0.49623844,0.45734465,0.4035411,0.34034288,0.27825826,0.23230727,0.21294005,0.22179864,0.2507625,0.2858785,0.31352565,0.32773414,0.33302638,0.33900163,0.3526716,0.37583092,0.41146025,0.46104145,0.5196071,0.5664751,0.581649,0.559455,0.5189797,0.48518848,0.47393772,0.48423848,0.5084977,0.5398578,0.57198745,0.59413487,0.59319884,0.56439805,0.51818734,0.47455445,0.4485129,0.44302568,0.4523125,0.4696505,0.48649636,0.4909329,0.4704435,0.42636898,0.37958315,0.36054638,0.38263288,0.4290768,0.4642918,0.46423396,0.43263116,0.3922012,0.36102414,0.34012237,0.31947342,0.291906,0.25897887,0.2267059,0.19995765,0.1849228,0.19460493,0.24348544,0.33291706,0.43858317,0.52444714,0.5647797,0.5625775,0.53806406,0.51279217,0.49575046,0.48731908,0.48444542,0.48501146,0.4877088,0.49164358,0.4984584,0.5124293,0.5378732,0.5712993,0.6000652,0.61068743,0.601453,0.58341485,0.5678534,0.5558408,0.53976536,0.51403385,0.47782242,0.4323256,0.37706783,0.31473792,0.25442985,0.21058661,0.19331443,0.20243114,0.22636028,0.25151,0.26976815,0.281843,0.2920197,0.30325842,0.3179661,0.34068838,0.37907803,0.43417516,0.49597216,0.54443765,0.5661521,0.5615911,0.5445525,0.5282192,0.5195916,0.52048707,0.5334204,0.56020766,0.5958056,0.62524885,0.63187927,0.61044717,0.57203096,0.53458375,0.5093858,0.49748722,0.4955883,0.5025177,0.51488787,0.52424604,0.51736087,0.48948872,0.44647494,0.40255466,0.36597738,0.33741006,0.31158417,0.28666067,0.26496726,0.25083306,0.24364227,0.23867494,0.2323162,0.22918107,0.23752928,0.25990108,0.29003584,0.32229173,0.36280313,0.42032215,0.49243334,0.5553007,0.58558065,0.5764062,0.54589915,0.5156025,0.4976902,0.48944724,0.48407575,0.47754714,0.47071585,0.46633098,0.46692947,0.47536016,0.49491677,0.5240021,0.55158895,0.5614478,0.54669267,0.5188915,0.49508706,0.48080721,0.46115217,0.4218315,0.36332607,0.3056446,0.26827708,0.25829753,0.26940504,0.29358348,0.32892683,0.37396336,0.42036006,0.44983006,0.448418,0.4165201,0.37160313,0.33380982,0.31500494,0.3157711,0.3318045,0.35970518,0.39514518,0.43088195,0.45661953,0.4680322,0.46992692,0.47244465,0.47910988,0.4858477,0.49053288,0.5024088,0.5322756,0.577234,0.61470217,0.6234502,0.5996061,0.5605631,0.52518094,0.5030783,0.49390957,0.4965055,0.5102431,0.5306311,0.54651314,0.5460177,0.5244872,0.48796678,0.44709024,0.41010395,0.379918,0.35818127,0.35096356,0.36444497,0.39834452,0.43892595,0.47220632,0.4926969,0.5060697,0.5126982,0.5042884,0.4756492,0.4419526,0.43348595,0.46897873,0.53478795,0.5931496,0.6128738,0.59116465,0.548402,0.50705963,0.47737253,0.4596461,0.45158473,0.45222116,0.45998892,0.47247386,0.48876786,0.5116724,0.54472494,0.58447886,0.6170934,0.6273641,0.6132889,0.59200996,0.58410335,0.59684944,0.617066,0.6277449,0.62001246,0.59919196,0.5749647,0.5558261,0.54485416,0.5408385,0.5394419,0.53570056,0.52693796,0.51419634,0.5013562,0.49264237,0.48964998,0.49104026,0.4951423,0.5042313,0.52528113,0.5613145,0.60362595,0.63066393,0.62584573,0.59011936,0.54394543,0.5083197,0.4929084,0.49450326,0.5086932,0.53343827,0.5659924,0.5955949,0.6085895,0.5981985,0.5726339,0.54690963,0.53076273,0.5226314,0.5173831,0.51566666,0.5220904,0.5367923,0.5492075,0.5473681,0.5278258,0.4995234,0.47383037,0.4559555,0.44392148,0.43446496,0.4280506,0.42708394,0.43259832,0.44148767,0.4494653,0.45387104,0.45552257,0.45625743,0.45807335,0.46432793,0.48304904,0.5219746,0.5795409,0.63651127,0.66727,0.6563637,0.61215204,0.55569935,0.5063176,0.47038665,0.44729722,0.43542984,0.434894,0.4444767,0.4606991,0.4811206,0.50699663,0.54038334,0.57617354,0.601067,0.6034995,0.588064,0.5732433,0.57604057,0.5955956,0.617389,0.62778145,0.62403655,0.6113398,0.59403926,0.5740177,0.55232006,0.5322761,0.51675224,0.5061036,0.49750483,0.48851618,0.47914597,0.4717106,0.4676708,0.4663401,0.4646019,0.4580386,0.44114196,0.40900993,0.3595067,0.2962894,0.22971642,0.17574091,0.14982392,0.15888087,0.19565499,0.24245779,0.28187594,0.3055716,0.31514314,0.31567645,0.31061533,0.29992443,0.2833139,0.262494,0.24109863,0.22138496,0.20272452,0.18518066,0.1724655,0.17034273,0.17925371,0.19233553,0.20079637,0.2009904,0.1950171,0.18451607,0.16927184,0.15032853,0.13529669,0.13348232,0.14872737,0.17446238,0.20000498,0.21727282,0.2250393,0.2253716,0.22076458,0.2118207,0.19890274,0.18277298,0.1655371,0.14920063,0.13533583,0.12440694,0.11658877,0.111579925,0.10885176,0.107549995,0.10700815,0.106752075,0.10644854,0.10568157,0.104375534,0.10300204,0.10271829,0.104412876,0.10809815,0.11229689,0.11480098,0.11321495,0.10598335,0.09302372,0.076369904,0.059596706,0.045910493,0.036703657,0.031715754,0.030996798,0.035797987,0.048179924,0.06970451,0.10010368,0.13649435,0.17291327,0.20294249,0.22239296,0.23140532,0.23226786,0.22738881,0.21838361,0.20735829,0.19675171,0.18792206,0.17969799,0.16980584,0.15721117,0.14361984,0.13180117,0.12348384,0.118445806,0.115808584,0.1151303,0.116452724,0.11912965,0.12170682,0.122344635,0.1204947,0.116801985,0.112992175,0.11014226,0.10863759,0.10769091,0.10610866,0.1026485,0.09692397,0.089887954,0.08319211,0.07821912,0.07503241,0.07271031,0.070061065,0.06670985,0.063859455,0.06375948,0.06802871,0.07512178,0.08073798,0.080493145,0.0746446,0.06827664,0.06877258,0.07935249,0.09786087,0.11758139,0.13323973,0.14245957,0.14645253,0.14668252,0.14436005,0.13995333,0.13438483,0.12881006,0.12435042,0.12154478,0.12055092,0.121263705,0.12321225,0.12528211,0.125992,0.12461764,0.12181357,0.11944053,0.11840087,0.11771631,0.11473995,0.10840541,0.1003607,0.094359,0.0927302,0.09523258,0.099595465,0.103507064,0.10537439,0.10454398,0.10166752,0.09862599,0.097635955,0.09960919,0.10387003,0.10913026,0.115378715,0.123520434,0.13442987,0.14687616,0.15908651,0.16981311,0.18004908,0.19086908,0.20197904,0.21037625,0.21154661,0.20172507,0.1806252,0.1529748,0.12638451,0.10726458,0.097198166,0.09361124,0.092797965,0.09261214,0.0929392,0.09450882,0.098651506,0.10615099,0.117044725,0.12890953,0.13829929,0.1419674,0.13930331,0.13154694,0.12078565,0.10883149,0.097595334,0.089301236,0.0855959,0.08697758,0.09279009,0.102766216,0.11690072,0.13470525,0.1532744,0.1682631,0.17579181,0.1753605,0.1693856,0.16147104,0.15351324,0.14552672,0.1364447,0.12621152,0.115888424,0.10742422,0.1019203,0.09955888,0.099328786,0.10012388,0.10055551,0.09979869,0.09781123,0.09640193,0.0977467,0.10320864,0.11138252,0.119985044,0.12684871,0.13177527,0.13477205,0.13585182,0.13444948,0.13119952,0.12800075,0.12745035,0.13038151,0.13494207,0.13687748,0.13272439,0.12164604,0.10653459,0.091304265,0.07958973,0.073169224,0.07264641,0.07633153,0.08037225,0.0804015,0.07540684,0.069378145,0.06836585,0.07544592,0.08854423,0.103238404,0.11661619,0.12864132,0.14020474,0.1515433,0.16204756,0.17134537,0.17940702,0.18629722,0.19172436,0.19501573,0.19471337,0.18884404,0.17597717,0.15717973,0.13633886,0.11838599,0.106480695,0.10050581,0.098086,0.09623549,0.09289304,0.08710136,0.079161845,0.070573546,0.063430645,0.05941269,0.05853707,0.05951177,0.060801443,0.06177649,0.06256905,0.06338645,0.0646595,0.067218415,0.07206764,0.078956276,0.08645324,0.093305,0.10010522,0.10861972,0.11987028,0.13290572,0.1454656,0.15546529,0.16173679,0.16432248,0.1639007,0.16180617,0.15902163,0.15637945,0.15390027,0.15176399,0.14986482,0.14830364,0.14665554,0.14471145,0.14266032,0.14152993,0.14213227,0.1442701,0.14648558,0.14715661,0.14536391,0.14119105,0.1353168,0.12874238,0.12256509,0.117560215,0.11385278,0.11093801,0.10831621,0.105901696,0.10395715,0.10259682,0.10150086,0.10014459,0.09815716,0.095576935,0.092603944,0.089386195,0.08585739,0.082332835,0.079811096,0.08019812,0.08458672,0.09252029,0.10115384,0.107857466,0.11115936,0.11209372,0.112107925,0.112362355,0.11269968,0.112597026,0.11165339,0.10994489,0.10751993,0.104055144,0.099162966,0.0934115,0.08860633,0.086879514,0.088904046,0.09316278,0.096585125,0.09593159,0.089053,0.07575273,0.058316324,0.0407046,0.026669556,0.017841453,0.013576463,0.0125827305,0.014655295,0.021233836,0.033523556,0.050749186,0.06885853,0.08272946,0.08790708,0.083169796,0.06999578,0.0526164,0.03561564,0.022594301,0.014315829,0.009618663,0.006608121,0.004262747,0.0023549304,0.0010773023,0.00041305344,0.000179268,0.00012490129,0.00011846967,0.00011248101,0.00010783633,0.000105724976]