[0.0286462,0.030779744,0.035066087,0.03976185,0.044403523,0.049433976,0.055421636,0.06168403,0.067496665,0.07378437,0.08471227,0.10652111,0.1454954,0.20393145,0.2778937,0.35527468,0.41962776,0.45703208,0.46084157,0.43400025,0.3825734,0.3181759,0.25265357,0.20104988,0.17110628,0.16306062,0.16722752,0.1737501,0.17880045,0.18769425,0.20470321,0.22417128,0.22901891,0.20868231,0.17136854,0.14527889,0.15506114,0.20648764,0.2799208,0.35048652,0.3987358,0.42022347,0.41262892,0.37958613,0.3294112,0.28538337,0.26818374,0.28784916,0.33086252,0.37857068,0.411679,0.42418328,0.41339517,0.38338867,0.3351324,0.27334282,0.20694812,0.15511358,0.13847274,0.16604498,0.22840285,0.29980627,0.3559296,0.37931943,0.36799237,0.32549742,0.26491818,0.2020986,0.15933613,0.15210132,0.18461718,0.24060257,0.29584268,0.32871106,0.3388412,0.34132615,0.3541708,0.375453,0.38431177,0.35793528,0.29626462,0.22555059,0.18153079,0.18254167,0.22079127,0.26809397,0.30172837,0.3130672,0.3122764,0.3072577,0.30019787,0.28660503,0.27085575,0.26398715,0.2736512,0.294103,0.31378925,0.32678652,0.33656597,0.34364638,0.34305096,0.32661846,0.2983298,0.2715497,0.26181486,0.2699391,0.28335285,0.28694353,0.28107646,0.27908707,0.29452726,0.32330933,0.3484789,0.35211226,0.32825717,0.28288737,0.22597785,0.16913414,0.121247835,0.092324734,0.087833285,0.10666141,0.13779442,0.16267921,0.16742139,0.14750928,0.11467791,0.08261112,0.063072234,0.05717246,0.06488673,0.084964626,0.11496387,0.14560671,0.16461152,0.1652949,0.15083878,0.13126235,0.11666731,0.11527791,0.13122056,0.16152288,0.19306053,0.20936728,0.20090061,0.17202963,0.13488673,0.09976268,0.07099598,0.049429193,0.03733645,0.036143098,0.044975508,0.058472063,0.072110765,0.08471435,0.098838925,0.1145064,0.12710603,0.13036905,0.12191287,0.104601055,0.08214704,0.058574986,0.037702613,0.0264782,0.03295197,0.063964754,0.12035624,0.19059575,0.25505796,0.29209962,0.29794917,0.28242454,0.2673818,0.25871816,0.25344196,0.23809433,0.21808976,0.20662613,0.22098677,0.25785998,0.30375347,0.34260443,0.3697281,0.38441145,0.38819674,0.38075486,0.36680844,0.3490272,0.33121678,0.31083223,0.28907388,0.26288217,0.23176552,0.1923129,0.14985855,0.11389133,0.097041436,0.10204491,0.12219312,0.14511035,0.16494828,0.18615665,0.21691091,0.25768813,0.29469088,0.30916786,0.29000837,0.24153437,0.17888443,0.11803133,0.07165339,0.048013758,0.05546854,0.097454004,0.16887204,0.24975526,0.31660584,0.35215497,0.35665646,0.33656463,0.29987785,0.24953322,0.19428371,0.14523496,0.112867296,0.09813067,0.09606987,0.09915789,0.10103973,0.0978514,0.09391282,0.098932445,0.12183652,0.15757822,0.19282575,0.21357237,0.22026134,0.22285245,0.23552169,0.2597007,0.28461468,0.29361814,0.2843586,0.27089855,0.27114853,0.28731444,0.30579963,0.31131807,0.30035135,0.28018495,0.26269484,0.25924554,0.2735714,0.29802844,0.31261384,0.3034569,0.2709163,0.23040052,0.19271106,0.15828018,0.12240818,0.08806873,0.06741752,0.07048857,0.09677184,0.1346397,0.1725327,0.20277232,0.22300655,0.22930191,0.22027834,0.1952237,0.15952952,0.11789391,0.07816927,0.045392644,0.024166083,0.013997621,0.014702211,0.0284468,0.060577925,0.11257567,0.17550851,0.23230124,0.2664636,0.2744329,0.26475665,0.25295842,0.24746184,0.24878669,0.25088352,0.24859591,0.23711503,0.21242787,0.17556882,0.13648877,0.10825566,0.0975956,0.10062975,0.114729226,0.14111538,0.18232185,0.23137991,0.27656147,0.31098208,0.3343893,0.34964016,0.35499752,0.35254642,0.34679392,0.34411594,0.34123063,0.33034495,0.3059261,0.27352148,0.24466492,0.2304339,0.23399214,0.25036898,0.26732445,0.27270892,0.2584496,0.2256615,0.18047017,0.13387947,0.09635041,0.07718649,0.080014996,0.10103834,0.13068114,0.15664543,0.17318124,0.18287139,0.19433677,0.2113155,0.22708727,0.2310846,0.21790588,0.19267116,0.1651697,0.14358746,0.13411105,0.13844006,0.15556641,0.17901932,0.20282197,0.2238586,0.2387744,0.24285764,0.22946976,0.20418419,0.18038863,0.17380841,0.18256836,0.19467007,0.19393633,0.17765003,0.14949623,0.12079606,0.09820443,0.08641231,0.082116574,0.08259737,0.08614867,0.09542999,0.10901167,0.122172534,0.12704428,0.1222691,0.110361814,0.099407025,0.09705902,0.1124506,0.1468425,0.19084223,0.22387646,0.23165369,0.21467812,0.18825002,0.16624211,0.15390249,0.15167332,0.1619928,0.1917128,0.2388758,0.28948376,0.31904337,0.31195238,0.26912078,0.20644617,0.14165172,0.08682575,0.047255997,0.023386436,0.012861233,0.013229504,0.024632042,0.048687402,0.08410909,0.12360484,0.1561883,0.17413528,0.1768346,0.17095213,0.16385545,0.16102798,0.16606556,0.1816479,0.2072662,0.23088805,0.23567587,0.20818572,0.15696804,0.10540715,0.08293369,0.10212538,0.15411854,0.20830171,0.23313995,0.2143171,0.16653071,0.119197786,0.09659461,0.10507518,0.13646014,0.17702009,0.20868307,0.2171128,0.19698186,0.16365142,0.14057079,0.14538632,0.17507309,0.21486868,0.25025633,0.2754551,0.28769085,0.28511575,0.26470637,0.23054709,0.18762158,0.1447789,0.105671294,0.07838871,0.07006099,0.091141336,0.14044362,0.20512967,0.25730655,0.2742215,0.24699692,0.19129615,0.133236,0.0996268,0.09909204,0.12229977,0.14621693,0.15488356,0.14472799,0.12383609,0.097934246,0.07057617,0.043917984,0.023411512,0.013355219,0.017670821,0.039044447,0.07972405,0.13471644,0.19321649,0.24318147,0.28257203,0.31434014,0.3417815,0.3597355,0.36680344,0.36495927,0.36553156,0.37191746,0.38237634,0.38029507,0.3511308,0.2862909,0.19980954,0.115403615,0.055648524,0.024535654,0.013989021,0.013468649,0.021314627,0.04426984,0.0884189,0.1485208,0.2049535,0.23770691,0.24424644,0.24202044,0.25178722,0.27658343,0.30262986,0.3118132,0.29893777,0.2699327,0.23819536,0.21060203,0.18818259,0.16356944,0.1345688,0.10445508,0.08585957,0.08931026,0.11962829,0.16683345,0.21189298,0.23418398,0.2283166,0.20289956,0.17399107,0.15272523,0.1454587,0.15576218,0.18203606,0.21964152,0.25865042,0.29224125,0.3110607,0.31151703,0.29336426,0.2628773,0.22376163,0.17653722,0.12403559,0.07428287,0.037973184,0.018571468,0.015817719,0.03058727,0.07152525,0.14290185,0.23599124,0.32384244,0.38017035,0.39031386,0.35938612,0.3001964,0.23070337,0.16684991,0.12410321,0.10941591,0.123635925,0.15731655,0.19804268,0.22822122,0.23710127,0.22101526,0.19085152,0.162888,0.15354449,0.16714488,0.19385917,0.21646011,0.22269012,0.21447973,0.20256783,0.19867156,0.2074359,0.2255296,0.24441712,0.2548097,0.25552467,0.25196084,0.25272647,0.25957546,0.26984978,0.27864566,0.28217384,0.2776214,0.2644555,0.2473195,0.22904317,0.20807713,0.1760176,0.1319545,0.083094575,0.045057595,0.028416894,0.040207345,0.07944944,0.1388635,0.19913371,0.23890828,0.24386014,0.21875846,0.181767,0.15653498,0.15503119,0.17208304,0.18696101,0.1833537,0.1609739,0.13530116,0.12080568,0.12052681,0.12661837,0.12730913,0.11492313,0.08896038,0.05721007,0.029532075,0.011979324,0.00481456,0.0061433874,0.016680354,0.03709193,0.06574413,0.09323592,0.1116414,0.11807576,0.12359774,0.13875096,0.16703112,0.1961564,0.21275991,0.21063055,0.19380791,0.16840582,0.13769878,0.10588143,0.078790806,0.06276531,0.057579663,0.057930227,0.057773728,0.056573216,0.057830017,0.06446583,0.073926054,0.08031707,0.079735935,0.075162,0.076569915,0.09345632,0.13017626,0.17861201,0.22360706,0.24490039,0.23177253,0.18813474,0.1365904,0.10296156,0.101758294,0.12471166,0.15117387,0.1600797,0.1459355,0.11468661,0.08317097,0.06641848,0.07541988,0.107019104,0.1472968,0.17822464,0.19058912,0.18533431,0.16786535,0.14084588,0.10708348,0.07182361,0.043362334,0.026512936,0.021742253,0.025916452,0.03581318,0.049694937,0.06919722,0.099650554,0.14468022,0.19858848,0.24472605,0.2659283,0.25756046,0.22930533,0.19444324,0.16024393,0.13015454,0.112890966,0.12202666,0.16511127,0.23206139,0.2970198,0.33526203,0.3362355,0.31195983,0.28031826,0.2554722,0.23224682,0.2017196,0.1599697,0.1220972,0.10735309,0.12746923,0.17411496,0.22640054,0.25998652,0.2596583,0.22527604,0.17237438,0.12472376,0.10214395,0.11234689,0.14805228,0.19354886,0.23086715,0.25221804,0.25849533,0.2595948,0.25628534,0.24511532,0.21875925,0.18682526,0.16608888,0.17304434,0.20431787,0.24460189,0.2746769,0.28536156,0.2753156,0.25158092,0.2222886,0.19869816,0.18760931,0.19346148,0.21054561,0.23204859,0.25009888,0.2654797,0.27930853,0.2940524,0.30743524,0.31651747,0.31662568,0.3043314,0.28057614,0.24810326,0.2112385,0.17113765,0.13422954,0.11112201,0.114341915,0.14463875,0.18493383,0.20970227,0.20010085,0.16200769,0.117941566,0.0949896,0.10168594,0.12710272,0.14891334,0.15312843,0.14317155,0.13258882,0.13131009,0.13476829,0.13264866,0.11723853,0.092673145,0.067443974,0.05037424,0.044108868,0.047610506,0.05626319,0.06377383,0.06451364,0.056466967,0.043813407,0.033201646,0.03094094,0.03862897,0.0545065,0.07186616,0.08269054,0.07994001,0.06441981,0.043359052,0.027014384,0.02109929,0.025828121,0.03797677,0.055845123,0.08062662,0.1137409,0.15148582,0.18448998,0.20197211,0.19807146,0.17391104,0.13669087,0.09857726,0.07295112,0.0693535,0.08745887,0.11622262,0.13919853,0.1426589,0.12497871,0.096814565,0.07425321,0.06677661,0.07303864,0.08418155,0.090696156,0.086231254,0.070525505,0.04946445,0.03386491,0.03444896,0.05654769,0.09816008,0.14800279,0.1918358,0.21616226,0.21678907,0.19676371,0.16390188,0.1263928,0.09158922,0.06714504,0.05595909,0.056022782,0.058430035,0.056454793,0.04751031,0.03625265,0.028372025,0.028094733,0.035606414,0.047524855,0.059613034,0.06729949,0.0697349,0.06802557,0.066322125,0.06703488,0.070723295,0.07544435,0.0798353,0.08413392,0.090130724,0.09795648,0.105077915,0.10540295,0.095232844,0.07534878,0.05287832,0.034675177,0.024240062,0.020614639,0.021606205,0.024885984,0.028268525,0.030735975,0.035687726,0.050538648,0.08300052,0.13306083,0.19079144,0.23959148,0.26649487,0.27021575,0.26092687,0.25090814,0.24291348,0.22961162,0.20393638,0.1714589,0.14839669,0.14858244,0.17044367,0.20003021,0.22009332,0.22041692,0.19781148,0.15727158,0.10928622,0.06673632,0.038122717,0.024945503,0.024461605,0.03371666,0.050082583,0.06934205,0.08466992,0.089901984,0.08234761,0.06509454,0.04440703,0.026798924,0.015471122,0.010143959,0.0091857845,0.011904706,0.01993896,0.034171402,0.054258365,0.076182194,0.09617094,0.108911954,0.11118547,0.10058919,0.08011116,0.056717202,0.041103307,0.04395035,0.07091042,0.1169389,0.16274354,0.18534511,0.17201467,0.131945,0.08603275,0.052534517,0.034737997,0.026869379,0.021950379,0.019265687,0.022070123,0.034643557,0.05609305,0.08006086,0.095413156,0.09535754,0.07989613,0.05775318,0.03730928,0.023855535,0.016502196,0.013092753,0.0115358,0.011254687,0.011702134,0.012241405,0.012428778,0.0124418875,0.012792412,0.013695348,0.014775892,0.015374388,0.015205313,0.014736178,0.015046626,0.01702263,0.020903066,0.02668036,0.034754585,0.04644944,0.062604815,0.08185315,0.09929874,0.10775841,0.10274153,0.085022114,0.061948355,0.0409916,0.027165972,0.0199116,0.016968738,0.015793378,0.015403443,0.015457111,0.016018683,0.017865049,0.022163235,0.029305225,0.03758959,0.044149652,0.04682346,0.046122167,0.04469213,0.04688579,0.05466011,0.06564289,0.07190829,0.0670476,0.051096518,0.031888083,0.01833874,0.016000912,0.026072124,0.047390323,0.07546806,0.10139934,0.11398209,0.106607705,0.08367696,0.058414444,0.045714814,0.051616747,0.07413825,0.10413706,0.1324541,0.14802563,0.14386438,0.11915926,0.083622195,0.050431523,0.029235257,0.022488022,0.029397314,0.049414534,0.081934005,0.124070145,0.16962248,0.20877397,0.22905326,0.2212226,0.18872148,0.15125896,0.13362326,0.14688039,0.17849304,0.20167506,0.19563623,0.15912807,0.1082522,0.062084775,0.031370506,0.016532706,0.013926583,0.020642152,0.034069937,0.051092252,0.069063954,0.0881221,0.109435916,0.1290075,0.13866079,0.12938677,0.10267615,0.06752887,0.03721196,0.017948477,0.009590439,0.0071539073,0.0067561897,0.0069461535,0.009195127,0.016611991,0.032936662,0.059339013,0.09357836,0.1270236,0.14911415,0.14926322,0.12737647,0.093590826,0.06659184,0.058584362,0.06804859,0.08029,0.08039848,0.06485023,0.04182792,0.024274578,0.021510258,0.03820977,0.07361576,0.12018774,0.16486494,0.19434714,0.2020139,0.1876576,0.15525535,0.112446725,0.06969605,0.03778567,0.02099899,0.018224858,0.026426563,0.04410534,0.06934893,0.09425477,0.10862861,0.10358826,0.082418166,0.055797517,0.03807116,0.034397442,0.04163743,0.050139714,0.0527444,0.047222942,0.036759276,0.026628807,0.021419184,0.023191378,0.031077176,0.042642042,0.05466487,0.06492928,0.07179197,0.07609111,0.07756772,0.07570968,0.06810153,0.05672225,0.04573977,0.040179387,0.040325027,0.045181423,0.055323184,0.07234907,0.09524859,0.11542509,0.12372465,0.11344246,0.08996547,0.06243917,0.04178403,0.02971962,0.024424447,0.02095072,0.017923862,0.0147431055,0.012499723,0.011604037,0.012290337,0.013549981,0.013932479,0.012709753,0.010325634,0.008017626,0.0064225793,0.0059971996,0.007481776,0.013737306,0.027935639,0.051914502,0.080140896,0.10230186,0.106482364,0.0914266,0.06586056,0.04601888,0.04178335,0.05498218,0.07775152,0.10244644,0.120031714,0.12596206,0.11494061,0.09059156,0.059533004,0.03366035,0.017568076,0.011280539,0.009460789,0.008966095,0.008816163,0.010750183,0.017006509,0.028204868,0.04166641,0.05171725,0.053823203,0.047661033,0.037231613,0.027089732,0.019646928,0.015107212,0.012745197,0.011844788,0.011524998,0.011129421,0.01048205,0.010157265,0.010968742,0.013316381,0.016783534,0.02023369,0.022498025,0.02293226,0.021640664,0.019149939,0.016036103,0.012865535,0.010177056,0.0085422965,0.008136577,0.008722558,0.009605325,0.010343174,0.010894987,0.011739495,0.013113246,0.0147861615,0.015945194,0.015923765,0.014526048,0.012297779,0.010027795,0.008401499,0.0075893565,0.007377587,0.0074446145,0.007588715,0.0078294175,0.008192417,0.00876258,0.009562442,0.010715245,0.012165289,0.01366796,0.014589258,0.014429744,0.013018186,0.010873866,0.009249535,0.009863975,0.014514591,0.022492593,0.030814758,0.03439223,0.031553484,0.023828827,0.016077625,0.011077147,0.009781764,0.010849386,0.013178405,0.015526667,0.017145686,0.017426655,0.016370466,0.014330097,0.011919419,0.009706587,0.008011361,0.0070203883,0.006838402,0.007590778,0.0090173455,0.010409717,0.010912012,0.0102347145,0.008903745,0.007788725,0.007381651,0.007731872,0.008808146,0.010956708,0.013929561,0.016778404,0.017710226,0.016337696,0.01343838,0.01087642,0.009270401,0.008456635,0.0076579317,0.0067128516,0.0057586473,0.005069552,0.004728843,0.0046264622,0.0046155127,0.004656113,0.0049956855,0.0059820893,0.0077466443,0.010123615,0.013294555,0.01837079,0.026683494,0.037239715,0.04759587,0.05676989,0.07130885,0.098808,0.14175105,0.18744363,0.22088216,0.2325391,0.23060636,0.22516513,0.2208877,0.20712757,0.17564125,0.1288203,0.084410734,0.058530346,0.055902038,0.068422645,0.084194474,0.0950043,0.09650308,0.08923937,0.07604744,0.06314307,0.054598797,0.05200553,0.053361267,0.05692475,0.06138842,0.06468218,0.06418178,0.058819328,0.05291779,0.053304773,0.06315466,0.07731894,0.08533049,0.080764264,0.06498758,0.04545298,0.02844713,0.016877994,0.010748245,0.008914781,0.009920805,0.012346539,0.01592513,0.021559114,0.029302934,0.037701778,0.04307956,0.043909322,0.04059078,0.03705175,0.036077797,0.038606334,0.04180346,0.041560546,0.035830438,0.026001872,0.016386285,0.009819761,0.0072937044,0.007838249,0.0111345695,0.016204888,0.021562984,0.024479492,0.024032958,0.02094739,0.017773302,0.015700294,0.014785507,0.013880064,0.0125539685,0.0108581595,0.009328612,0.008162288,0.0073584043,0.0067384974,0.0062599573,0.0060292203,0.006215678,0.0069106757,0.00794546,0.008974295,0.009560923,0.009478365,0.008743114,0.0076830555,0.0066477866,0.005932724,0.005841836,0.0068282555,0.009510844,0.013493873,0.01744748,0.019139647,0.018049994,0.015093766,0.012470464,0.010998249,0.010419056,0.009726119,0.008569318,0.007139172,0.005857086,0.004971472,0.0044887643,0.004286956,0.0042493953,0.004334675,0.0045891865,0.005039931,0.0056748576,0.006377066,0.0069859955,0.007356254,0.007489888,0.0075556855,0.0076940656,0.007905605,0.007978189,0.007839353,0.0076454333,0.00797078,0.009430289,0.012202945,0.015475321,0.017717144,0.017834827,0.016067114,0.013827545,0.012334702,0.011831261,0.011580709,0.01086773,0.009457843,0.007799821,0.006464341,0.00586984,0.005943839,0.006382749,0.0068009966,0.0071246414,0.007877844,0.010030137,0.014569859,0.020674588,0.026073053,0.027503131,0.024455061,0.018643234,0.0135757355,0.010703805,0.009899453,0.009740212,0.009586882,0.009328001,0.009346417,0.009876345,0.011483167,0.015310411,0.023607885,0.037551507,0.055272207,0.07055745,0.07689679,0.07164773,0.058033366,0.04194227,0.028038772,0.018233998,0.012355159,0.009499776,0.0084067,0.007866315,0.0071508065,0.0061763474,0.0053761085,0.0050632567,0.0053160186,0.005857244,0.0064206184,0.006846867,0.007268565,0.007852825,0.008638102,0.009285968,0.009419355,0.008830604,0.007929052,0.007867989,0.011329114,0.023143753,0.048981052,0.09098267,0.14132144,0.18258364,0.1956443,0.17726354,0.14448686,0.13084976,0.15871632,0.23035057,0.31715333,0.3840145,0.39803126,0.35457352,0.271983,0.18707903,0.12585838,0.093993224,0.07722939,0.06245787,0.04500334,0.029494355,0.019114228,0.0146711515,0.013889826,0.014758014,0.016247133,0.019544436,0.028479153,0.04506759,0.06692364,0.08501626,0.091246866,0.082276605,0.06327518,0.04206467,0.025502793,0.015782118,0.011790442,0.011130784,0.0118792085,0.013007491,0.013728899,0.0134423645,0.011951604,0.009710669,0.0075697084,0.0062558507,0.0061330013,0.0069333017,0.008024279,0.008593126,0.008434623,0.007818819,0.0073455865,0.0071449014,0.0070540397,0.0068392917,0.006587248,0.006522178,0.006747711,0.0072380714,0.007849632,0.00852096,0.00916494,0.009853234,0.0105818575,0.011383206,0.012262088,0.013559931,0.015675044,0.018597804,0.021429738,0.02283173,0.021955991,0.019073995,0.0153047135,0.011853325,0.0094048865,0.008132638,0.007869723,0.0083128875,0.009025581,0.009550816,0.00968247,0.009563353,0.009705382,0.01049927,0.011920982,0.013310016,0.013820112,0.013036461,0.011318486,0.009556604,0.0087916525,0.009901386,0.013635998,0.01936847,0.02543887,0.029385468,0.0311905,0.03263453,0.037437174,0.04809007,0.06602099,0.08815113,0.10777699,0.11598822,0.11032172,0.09575346,0.08283443,0.07689483,0.0768281,0.07578611,0.070009656,0.059799377,0.049186945,0.040718418,0.034702048,0.030507611,0.028004067,0.027969664,0.030180363,0.03428905,0.038962364,0.043363854,0.04617844,0.047650512,0.048503786,0.05004215,0.052000076,0.053963494,0.055601608,0.05730988,0.0586008,0.058576163,0.0578299,0.059645325,0.06830681,0.08341915,0.09886384,0.10533904,0.09892154,0.08240104,0.06335217,0.047506884,0.037575256,0.034041688,0.037276477,0.047892213,0.063693844,0.07928724,0.08648113,0.08241919,0.07055857,0.05978707,0.055065174,0.056358103,0.060877126,0.06823316,0.081084095,0.09811943,0.11313643,0.11459928,0.0993964,0.07254296,0.047705676,0.032759435,0.02954925,0.032930877,0.038126495,0.042205155,0.04606272,0.053432852,0.06660996,0.084284246,0.10119778,0.11566857,0.12697066,0.13491678,0.1326779,0.117603846,0.092299975,0.06795184,0.05198251,0.046148833,0.046064824,0.04660916,0.04486032,0.040158868,0.03480158,0.0315917,0.033461034,0.040764276,0.051444765,0.061658487,0.069361605,0.07412801,0.076464534,0.07416301,0.06628002,0.053537678,0.04078031,0.031009728,0.025300063,0.021767387,0.019157385,0.016973091,0.015625603,0.015498984,0.016531015,0.018394927,0.020523285,0.022880116,0.025438024,0.028395178,0.031841993,0.03688809,0.045426894,0.057003755,0.06742394,0.06912721,0.059669077,0.042869493,0.027852984,0.019457547,0.017569305,0.018691009,0.021103544,0.024414247,0.028367942,0.03283998,0.03967264,0.0515383,0.06728563,0.07996464,0.081091784,0.0694649,0.05202292,0.038705703,0.033281643,0.033325817,0.03346092,0.031211512,0.027187811,0.024306724,0.02504958,0.030348038,0.038455755,0.046222776,0.051152695,0.053173,0.053629756,0.053208288,0.05133028,0.04737853,0.042149175,0.037524085,0.035637945,0.03784365,0.043719143,0.050934214,0.05603228,0.057303783,0.055553928,0.05398363,0.05612633,0.065155074,0.08177292,0.10227406,0.11786545,0.12027364,0.108281285,0.091706194,0.084628575,0.09535489,0.11814711,0.13727933,0.13883658,0.1212408,0.09611971,0.07827274,0.077605955,0.09077991,0.106759995,0.11002806,0.09658597,0.07205159,0.050817724,0.039484322,0.037033007,0.036013026,0.032496996,0.027098501,0.023845797,0.026892127,0.037493363,0.053461682,0.06837773,0.07766167,0.081413604,0.087338485,0.100443,0.11796967,0.12710832,0.11921164,0.09643895,0.07198834,0.05814226,0.06047223,0.07697231,0.099805236,0.11802375,0.12163635,0.10933591,0.08788192,0.06708445,0.051415738,0.04063013,0.032651488,0.026862761,0.02328548,0.021622539,0.021250335,0.021568848,0.02241469,0.023972139,0.026699042,0.030433767,0.03409718,0.03581705,0.03465943,0.031287465,0.02806502,0.027344422,0.029540882,0.03274033,0.033584874,0.030719608,0.025100356,0.019747423,0.016506782,0.015913233,0.017053373,0.019608527,0.023996709,0.03184263,0.04237925,0.052295938,0.05527419,0.049394447,0.03722259,0.026058441,0.019830665,0.019901639,0.0250934,0.03649899,0.0533638,0.07225919,0.08524916,0.08807791,0.081481986,0.072330736,0.06525442,0.06338211,0.06633017,0.07515022,0.08671207,0.09693512,0.09850507,0.09079135,0.077379294,0.06772459,0.06869727,0.08303615,0.10676688,0.13002811,0.14397961,0.14515547,0.14040561,0.13645624,0.13552547,0.13234134,0.12341308,0.109199196,0.092939764,0.07727058,0.063774884,0.054484624,0.050316304,0.051128227,0.05547151,0.06119296,0.066286154,0.069282345,0.072585456,0.07856213,0.08749998,0.09326392,0.090575784,0.07934239,0.066061474,0.057272237,0.0538153,0.05339009,0.053302374,0.056177538,0.063804425,0.0759529,0.08585834,0.08916781,0.08572685,0.08251115,0.08365828,0.089021064,0.09181721,0.08835832,0.07882497,0.06935335,0.06372918,0.062136557,0.060860485,0.057494387,0.05285689,0.049354155,0.05135782,0.06328693,0.090602934,0.12838016,0.16278411,0.17228234,0.15099174,0.10820522,0.06652898,0.039011553,0.02832909,0.027633382,0.030586028,0.032942217,0.032368213,0.029177455,0.024607768,0.021134317,0.019339496,0.019427992,0.02052325,0.022260139,0.024365792,0.027704075,0.034235537,0.04430331,0.05578133,0.063231945,0.063959666,0.058156844,0.050109286,0.04385558,0.043263882,0.051146537,0.06521487,0.07878434,0.080951616,0.06899267,0.04710868,0.026660187,0.013590609,0.008941085,0.008651375,0.009738039,0.010990134,0.013224393,0.018073143,0.026243458,0.03602686,0.045000274,0.052603155,0.063695796,0.08023361,0.098860264,0.106901854,0.09877523,0.07739705,0.05708742,0.047202583,0.050828665,0.06096222,0.06907626,0.06737144,0.055452544,0.038153738,0.023230081,0.01455203,0.012165881,0.013064906,0.014678131,0.015149851,0.014116697,0.0120370835,0.009958446,0.008475417,0.0078076157,0.008013888,0.009531976,0.012373189,0.015752077,0.017880132,0.01768517,0.015445183,0.012879887,0.011753966,0.013053462,0.017046051,0.022604784,0.0279249,0.030348621,0.029058991,0.025156036,0.02289888,0.027703138,0.044202406,0.07075871,0.09824693,0.113952935,0.112444125,0.09815487,0.08133968,0.066890076,0.054684523,0.04215808,0.03077361,0.022934308,0.020536175,0.022567175,0.026749277,0.03075186,0.03281083,0.032900922,0.03154032,0.029899215,0.028000375,0.025849672,0.023916535,0.023907827,0.028053248,0.03629714,0.046234254,0.05313244,0.055025846,0.053924263,0.057144303,0.07315427,0.10560552,0.1472943,0.17995675,0.18592907,0.1618733,0.12283417,0.091441125,0.07931901,0.082723014,0.086435474,0.08114863,0.065865025,0.04860245,0.034790624,0.026455184,0.021414995,0.018112341,0.016174652,0.016312815,0.01947651,0.025139727,0.03156272,0.035531584,0.035716806,0.032669857,0.029415732,0.028655335,0.034083385,0.051342677,0.08666629,0.13969064,0.1951624,0.23013122,0.22843252,0.19867128,0.16103184,0.13298452,0.11099187,0.08800294,0.060366724,0.036555365,0.021920687,0.01725184,0.017598046,0.019554107,0.021505624,0.023400806,0.025274418,0.027218053,0.028965654,0.029905463,0.02909503,0.026159467,0.021765927,0.017259179,0.013793071,0.011581522,0.010325499,0.009665222,0.009433251,0.009538776,0.009716679,0.009845364,0.009831992,0.010004111,0.010613565,0.011876623,0.0133687,0.014441837,0.014404312,0.0133012235,0.011895788,0.011435903,0.012758769,0.015716404,0.01922366,0.022241188,0.024483057,0.026541986,0.028872887,0.03159216,0.034458842,0.037493367,0.040640987,0.04304305,0.0432289,0.03974369,0.0333287,0.02767051,0.02860544,0.04073896,0.061214417,0.08054197,0.08604565,0.07477597,0.05267164,0.032131612,0.019239908,0.014691245,0.014622703,0.01660236,0.01966498,0.024715686,0.034093563,0.04729691,0.060356822,0.064808734,0.0575484,0.041242506,0.025271142,0.015422896,0.013197999,0.014939732,0.01704234,0.017464446,0.016582016,0.01631344,0.017840585,0.02106039,0.024360523,0.027656576,0.03207408,0.040039577,0.05121,0.06376774,0.074706525,0.083693296,0.09142501,0.097644836,0.09979465,0.094295986,0.08141753,0.064539135,0.04961476,0.03956525,0.03511029,0.034702938,0.037315425,0.04112033,0.043848094,0.043270633,0.040012326,0.03626975,0.034307294,0.033439785,0.032904577,0.032631353,0.034029376,0.036559243,0.0377281,0.03531017,0.02987787,0.02460619,0.021815116,0.021630758,0.02216742,0.02213809,0.021093711,0.01960408,0.01809533,0.017599635,0.018679364,0.02133579,0.023891322,0.024781197,0.023461634,0.021017542,0.018701872,0.016994538,0.015936727,0.015368146,0.015278205,0.015482823,0.016747689,0.02103093,0.029480904,0.040035907,0.04732615,0.047693998,0.042475294,0.036519412,0.033443343,0.03277665,0.033853848,0.036274083,0.04132392,0.04653958,0.049682096,0.04821003,0.04463612,0.04081398,0.038521487,0.03562342,0.03156501,0.026367767,0.022524044,0.021355087,0.024498748,0.032622967,0.045326322,0.059400853,0.07069009,0.07625165,0.07590843,0.070571706,0.062228188,0.05294836,0.045518678,0.041184757,0.039659295,0.03897579,0.03741595,0.034328613,0.031390432,0.031353462,0.037466343,0.048710357,0.060898688,0.06657835,0.06336533,0.05320953,0.043152396,0.03805873,0.040667042,0.049678165,0.06277046,0.077535085,0.09228598,0.104591556,0.109636545,0.10428032,0.08950996,0.071843706,0.057287473,0.050626386,0.055864513,0.07711295,0.1124905,0.14881565,0.1666953,0.15384799,0.11615962,0.07204854,0.039166763,0.023008838,0.019343598,0.021839276,0.02921485,0.045315344,0.07251122,0.10478415,0.12719421,0.12702753,0.104498744,0.07279732,0.046556115,0.031897258,0.026746064,0.026367381,0.02767319,0.028946547,0.03157094,0.039572313,0.05987524,0.09138903,0.1253086,0.14557642,0.14876355,0.14128502,0.13525975,0.12996401,0.117987566,0.09432483,0.06486709,0.040113006,0.025905577,0.02134008,0.021574898,0.022257969,0.022843571,0.027576244,0.045034576,0.07803003,0.11814499,0.14520007,0.1447954,0.11813545,0.081961244,0.051879596,0.033367354,0.023045003,0.01658308,0.01255568,0.0107244095,0.010878473,0.012144101,0.014134298,0.018093517,0.028131343,0.04991007,0.08554707,0.12978642,0.17226283,0.20094876,0.20848624,0.19022578,0.15226689,0.105706096,0.06688523,0.04238622,0.031496804,0.027471622,0.026491666,0.027540373,0.030232241,0.033207025,0.034103766,0.03234902,0.029769503,0.03070497,0.039062608,0.055626046,0.07562366,0.09134362,0.09633282,0.090584904,0.07892418,0.07014384,0.07264447,0.09381,0.12986718,0.16710855,0.18503076,0.1760091,0.14571828,0.109762035,0.07837359,0.05571724,0.041085765,0.03294251,0.029530868,0.029532887,0.034046125,0.04823413,0.08050506,0.1331315,0.19342668,0.23371209,0.23208076,0.18928905,0.12962008,0.0789757,0.048841447,0.03543663,0.030970322,0.030633071,0.03286217,0.036553714,0.040820148,0.044795107,0.04853193,0.05177012,0.054550838,0.057871673,0.06522334,0.0819885,0.10804824,0.13510403,0.14694078,0.13582781,0.10650929,0.07572921,0.055088356,0.04700547,0.04703295,0.054360915,0.074249506,0.11157713,0.16018431,0.20239888,0.21782406,0.20100443,0.16047232,0.1145959,0.07492571,0.04806078,0.033319347,0.029574877,0.033428878,0.041748647,0.050941247,0.057567056,0.059405077,0.05620044,0.051092505,0.047893927,0.050222542,0.057162892,0.06571063,0.07072541,0.07157046,0.06952133,0.067797,0.066364415,0.06529939,0.0661648,0.07281899,0.088379025,0.109508194,0.12833698,0.13436647,0.12630595,0.10985281,0.0958505,0.08786294,0.085048884,0.083285704,0.081219316,0.07679451,0.06909196,0.057860952,0.04571806,0.035247467,0.028367938,0.026613124,0.030956352,0.042510588,0.05890898,0.07736036,0.0912322,0.09683323,0.091069676,0.07871044,0.06584328,0.058823813,0.0574147,0.0580307,0.05813417,0.058000077,0.059644144,0.061832424,0.062059507,0.05785513,0.049839962,0.04087421,0.034329433,0.032845963,0.03652123,0.04361652,0.050967913,0.056516025,0.06015843,0.06391323,0.06848612,0.07220206,0.07078015,0.06341388,0.052965313,0.0453177,0.042549018,0.04334627,0.044135068,0.043497045,0.041479766,0.039668307,0.03876811,0.039351214,0.040469915,0.04121183,0.04016455,0.03897785,0.042745057,0.06160267,0.09838127,0.1458597,0.18047778,0.18628888,0.15932368,0.1194636,0.0867817,0.07440729,0.077086516,0.081724264,0.0778053,0.06338244,0.04600893,0.033289198,0.029477179,0.031743214,0.034754466,0.03513999,0.03308522,0.03140445,0.031496745,0.034571443,0.040492132,0.04925019,0.057641897,0.062459063,0.0606401,0.053546477,0.045044016,0.041611735,0.050628364,0.07505112,0.11252589,0.14971273,0.17506564,0.18030602,0.17202051,0.15951909,0.15300421,0.15248673,0.1536334,0.1488304,0.13654159,0.1191662,0.10370829,0.09365928,0.08975788,0.08853037,0.086197175,0.08029779,0.070974104,0.061197754,0.054258246,0.052677948,0.056152523,0.061838448,0.06510264,0.06402399,0.06325796,0.07500828,0.111683406,0.17425065,0.24499047,0.29377604,0.29868665,0.2603556,0.201832,0.147469,0.11079863,0.08954158,0.07782552,0.06950112,0.06280247,0.05639561,0.05052939,0.04491822,0.0401298,0.036777597,0.03566654,0.036281336,0.037571073,0.03935721,0.043246288,0.049411505,0.055633843,0.05804311,0.05838329,0.061328888,0.07227806,0.08873632,0.1069973,0.12510836,0.14437212,0.16360402,0.1758148,0.17941971,0.17440301,0.16676424,0.15259157,0.13455175,0.115215294,0.10635706,0.11120326,0.12953854,0.15404479,0.17421691,0.1790725,0.16094704,0.12687592,0.09100359,0.071472354,0.07261234,0.0892126,0.10578241,0.1129997,0.10671193,0.091918446,0.07236932,0.05330697,0.037679225,0.030098073,0.031196475,0.03862502,0.04599364,0.049331497,0.048431184,0.046514932,0.045233462,0.04310608,0.038441196,0.03209268,0.028706454,0.031231483,0.040444747,0.052280664,0.06428555,0.072259046,0.07507593,0.06966746,0.058598477,0.045866866,0.03867182,0.039800752,0.047247503,0.055011142,0.05796881,0.058824733,0.06709132,0.09309977,0.13413149,0.17401348,0.19180822,0.18085347,0.14994754,0.118225634,0.09619399,0.085621506,0.07830311,0.07091814,0.064226486,0.06600822,0.078940175,0.10012057,0.117655516,0.121779464,0.10740363,0.08103372,0.053018127,0.034670573,0.02901763,0.033356633,0.040799882,0.047167566,0.050829172,0.052118246,0.050883774,0.047270402,0.042247314,0.03728689,0.036086302,0.045275856,0.07522892,0.1279391,0.192738,0.24602425,0.2729088,0.27230015,0.25644523,0.23428667,0.21215488,0.19341862,0.18148677,0.17324932,0.16234343,0.14302574,0.117949195,0.09346797,0.07601504,0.06553308,0.05840136,0.050878283,0.042755302,0.03758805,0.03886654,0.05034266,0.07033486,0.09436501,0.111895286,0.11823329,0.11339783,0.10572603,0.100053735,0.098650016,0.0985635,0.09696779,0.090205334,0.08036135,0.07586661,0.09087571,0.12646033,0.16844058,0.19082282,0.18584208,0.16157766,0.13766244,0.11931295,0.1072759,0.09967822,0.10045006,0.108964466,0.11947175,0.12789814,0.13303256,0.14029342,0.14841847,0.15586759,0.15415704,0.14249597,0.123611204,0.10875901,0.10648453,0.11976109,0.143395,0.16824009,0.18636419,0.19239388,0.18430829,0.16453163,0.14123245,0.12848572,0.13370258,0.15511602,0.17541146,0.18362151,0.17461735,0.16264911,0.15674315,0.16431122,0.17411952,0.1783192,0.1687177,0.151726,0.13301705,0.118326366,0.10591642,0.09321294,0.08214656,0.07733766,0.0861049,0.10561361,0.13097103,0.14948374,0.15750007,0.15127374,0.1376129,0.121498816,0.110721916,0.10722762,0.1089833,0.11410176,0.12087476,0.13265151,0.144539,0.15043831,0.139694,0.11509994,0.0848218,0.061716244,0.048589572,0.043610733,0.04206802,0.043239612,0.0472346,0.054954335,0.066113025,0.08267322,0.10454714,0.13039275,0.15051903,0.15635961,0.1422071,0.11706076,0.09715238,0.09946147,0.13023032,0.17960471,0.22840317,0.25458226,0.24949163,0.2188208,0.17783256,0.13956748,0.10780247,0.08440604,0.06975525,0.06912073,0.08346698,0.11302609,0.1467364,0.17152797,0.17040356,0.14417145,0.1049585,0.07706896,0.07243353,0.088468306,0.10762752,0.11297947,0.10035535,0.0777232,0.058942992,0.051036965,0.056382317,0.073814824,0.099332154,0.123474576,0.13274954,0.12286273,0.09976684,0.078921236,0.06864024,0.07049721,0.077081926,0.0829281,0.08560243,0.089058496,0.09770941,0.110666014,0.12104171,0.12019246,0.10785691,0.08985162,0.07513758,0.065857165,0.059911486,0.0530916,0.04521672,0.038908035,0.037447747,0.04148881,0.049096394,0.056948263,0.0626914,0.06525434,0.06497545,0.062373,0.058173146,0.053577986,0.050274465,0.05090727,0.057739627,0.072556406,0.09347815,0.1156879,0.13229422,0.14016967,0.1410045,0.1395005,0.13770457,0.1330773,0.12202358,0.10428841,0.08439105,0.0677218,0.05735601,0.053332496,0.054013092,0.05703196,0.05992928,0.061210286,0.061179817,0.06198417,0.06633193,0.07662458,0.09145469,0.10666727,0.11626279,0.120718904,0.1246654,0.13390768,0.14530475,0.1509677,0.14448875,0.12843665,0.11143604,0.10112641,0.10416171,0.12254238,0.1580966,0.19867678,0.22876544,0.22766493,0.19595844,0.1450451,0.09832088,0.06674836,0.053556543,0.05297276,0.06045097,0.071953826,0.084964365,0.098304145,0.11223213,0.12491441,0.13218996,0.12878723,0.11864077,0.11300093,0.1245746,0.15185513,0.18018436,0.19208449,0.18264823,0.16395445,0.15471895,0.16882123,0.19949503,0.22748835,0.22785622,0.19695938,0.14746962,0.10492871,0.08303798,0.083055146,0.096927404,0.1164932,0.13871668,0.15844572,0.17228134,0.17461509,0.17099065,0.17202307,0.19006246,0.22571771,0.26885748,0.3071984,0.33035842,0.3344995,0.31817237,0.2885864,0.2567983,0.23434311,0.22336797,0.21612202,0.19948004,0.16701113,0.12518513,0.09213886,0.082686745,0.10016898,0.1361406,0.18166412,0.23153417,0.27945158,0.31431794,0.32109,0.2954329,0.24508937,0.19043499,0.14636733,0.11975708,0.10566323,0.10068869,0.10456363,0.12076982,0.14550428,0.16874446,0.17841303,0.17283975,0.15707068,0.13952926,0.12226278,0.1067369,0.09301939,0.084029585,0.07985715,0.08059487,0.083497584,0.08734516,0.09085726,0.09745857,0.109030746,0.12591302,0.14136876,0.15271036,0.16066319,0.17480434,0.19822638,0.22921018,0.2533365,0.25988868,0.24069214,0.2023391,0.15621306,0.120039165,0.103869,0.10679456,0.114488654,0.112164,0.097710945,0.08407814,0.08790652,0.116470456,0.16005415,0.19992797,0.21543063,0.20243722,0.17011714,0.13904612,0.11906286,0.11083365,0.10525174,0.0981347,0.08785144,0.07694399,0.06668618,0.061517555,0.06779929,0.09425986,0.13830316,0.18562095,0.21093863,0.20448484,0.17318793,0.14023286,0.120194145,0.11908045,0.134697,0.16264813,0.19474895,0.21956712,0.23043406,0.2284348,0.21764322,0.20344985,0.1853803,0.16682184,0.14417017,0.11953193,0.09266284,0.072368644,0.06352245,0.06685118,0.07446582,0.07765088,0.07310182,0.06355799,0.05475625,0.050088674,0.05026563,0.05425777,0.059797782,0.06400538,0.06323771,0.056987736,0.04734695,0.038940653,0.034999773,0.03775939,0.04849716,0.06538039,0.082768165,0.09106792,0.086190246,0.07065361,0.05389082,0.04162808,0.035099875,0.03093552,0.02723056,0.023592317,0.02104166,0.020109957,0.021115778,0.023575917,0.026480353,0.028912885,0.032032877,0.03941917,0.05300123,0.07013049,0.082590304,0.08451131,0.075224034,0.061015517,0.047944367,0.039843082,0.036470484,0.036607083,0.038971465,0.04255378,0.04581031,0.046627536,0.044404488,0.040321276,0.038852002,0.04465455,0.063153796,0.09176568,0.12235514,0.14033212,0.14115696,0.1273481,0.10893861,0.089547224,0.07144997,0.055416748,0.04534811,0.043180127,0.04753463,0.053922024,0.05710272,0.055526156,0.05054153,0.04676773,0.047332138,0.0549545,0.06937555,0.0867048,0.09886629,0.09807823,0.0841798,0.063969605,0.046832133,0.03606868,0.030374154,0.02616013,0.022678465,0.020345546,0.020044716,0.021329438,0.023718348,0.026851526,0.031041175,0.036028627,0.041327033,0.045767542,0.04975759,0.05390784,0.05946545,0.06498989,0.06853651,0.06778137,0.06335466,0.057142287,0.052076925,0.049809817,0.051947366,0.05875191,0.06979284,0.0810258,0.08776408,0.08564355,0.07571364,0.06213501,0.050710406,0.044688974,0.044512097,0.04914098,0.05587052,0.06233138,0.06433262,0.06073442,0.051276743,0.04046018,0.03157373,0.028398776,0.029958462,0.03372781,0.034563202,0.030393668,0.022002287,0.013467575,0.0076095606,0.0052591707,0.0051503736,0.005999444,0.0068943147,0.0073986934,0.0073340745,0.0069565703,0.0068309153,0.00773034,0.009987895,0.013453089,0.017171325,0.020043433,0.020977944,0.019558184,0.016085124,0.011686101,0.008123439,0.0072344807,0.010566129,0.01765558,0.026037896,0.031502794,0.031877693,0.027959628,0.023267604,0.020352846,0.019448122,0.018982336,0.017435977,0.01485267,0.012404005,0.011895961,0.013832469,0.017330857,0.020229531,0.021204444,0.02014739,0.017984027,0.015541037,0.013437002,0.012575054,0.01427653,0.019916466,0.030386487,0.044051662,0.058130324,0.068758555,0.07790839,0.08854979,0.10437728,0.11836421,0.122267395,0.10846239,0.08266508,0.054159895,0.032977868,0.020418074,0.014324422,0.011187859,0.0101349605,0.011082806,0.013551299,0.016430983,0.020103537,0.027384795,0.042334434,0.06499944,0.09076794,0.11009222,0.116955064,0.11022967,0.09864473,0.09459975,0.107572734,0.13615935,0.1650001,0.17808385,0.16489923,0.13218622,0.09181809,0.058028985,0.03557682,0.024106586,0.01878704,0.016128235,0.014425908,0.01394062,0.01520563,0.018090785,0.02140452,0.023884667,0.024650937,0.02476493,0.026606666,0.03432965,0.049568564,0.07272968,0.10078744,0.13197048,0.1589231,0.17284895,0.16378683,0.1350809,0.09875402,0.070488796,0.057446543,0.062001687,0.08786779,0.136701,0.20373304,0.2679472,0.3067229,0.30279016,0.2601966,0.19599617,0.13301794,0.08485433,0.05393621,0.03533359,0.023898572,0.016850663,0.013390227,0.013005941,0.0154197365,0.020335576,0.03164057,0.059921324,0.119518556,0.21062016,0.3060988,0.359342,0.33920106,0.25635824,0.15488738,0.07715778,0.037925757,0.029351583,0.039123774,0.06012574,0.085873656,0.10553586,0.10917941,0.09516436,0.072758265,0.053150535,0.042053733,0.036955733,0.033449892,0.0290619,0.02473031,0.021372234,0.019064454,0.016790742,0.0142053915,0.01153935,0.009610339,0.009176925,0.011312495,0.016684636,0.025020039,0.033584047,0.03931057,0.040354118,0.039073,0.038022388,0.038398337,0.037189975,0.033447713,0.02976424,0.033626843,0.048686165,0.07084352,0.08782804,0.08915802,0.0738154,0.05061836,0.030551678,0.019063585,0.015723249,0.01721506,0.020779327,0.024207959,0.025811188,0.024758356,0.021521175,0.01759422,0.014231323,0.011942923,0.0105004,0.009658661,0.009324615,0.0095129125,0.01127475,0.01886611,0.03983207,0.07963889,0.13124378,0.17478806,0.1876738,0.16470324,0.119030856,0.073200464,0.040140733,0.021875335,0.012963985,0.008885833,0.006937353,0.006153519,0.0063396706,0.007686533,0.01067618,0.015579599,0.02246558,0.030001184,0.036677852,0.041103955,0.04507203,0.049476262,0.054062754,0.053982615,0.047784667,0.038091026,0.034304112,0.043571025,0.06792217,0.100025415,0.12891348,0.1450499,0.14728262,0.14165705,0.13572495,0.13138074,0.123612285,0.10708192,0.08217882,0.056328546,0.03719899,0.027584784,0.02530629,0.027663732,0.034885246,0.04874705,0.0707398,0.10023677,0.13371412,0.16265357,0.17463607,0.16103162,0.1255878,0.08358935,0.05076797,0.032480694,0.024630355,0.020651152,0.017628914,0.015391256,0.014677733,0.01569952,0.018702984,0.023063736,0.0276898,0.030631116,0.031510364,0.03061279,0.029418802,0.028208882,0.027356578,0.026828155,0.026946114,0.027304849,0.02689681,0.024890969,0.02123131,0.016907312,0.013043196,0.010628673,0.01020414,0.011964847,0.016355418,0.024009762,0.03669988,0.05419177,0.074561656,0.09227946,0.10512823,0.11399573,0.12177572,0.1259905,0.11908558,0.097589575,0.06625995,0.037605654,0.019190272,0.0123056,0.012163907,0.016770845,0.028439762,0.054333474,0.0978475,0.1521859,0.19828598,0.21642518,0.1994539,0.15666614,0.1070115,0.06566284,0.040261555,0.02893465,0.026744783,0.027618797,0.028258672,0.027526053,0.02566872,0.02353295,0.021466196,0.020083005,0.01925954,0.019448588,0.020904675,0.024519293,0.03135319,0.04223266,0.056876827,0.071790785,0.082684875,0.086188555,0.08349476,0.077449195,0.070507966,0.06320774,0.055310246,0.047196362,0.039239477,0.033042047,0.030716578,0.03414508,0.042223036,0.05134994,0.058199327,0.062173396,0.064715944,0.06610903,0.0649512,0.05927901,0.049973875,0.039526165,0.031287502,0.026533196,0.026220232,0.029661343,0.03576025,0.041231956,0.044085026,0.04339007,0.040969845,0.03827248,0.0364981,0.035470545,0.034631897,0.033387963,0.031401698,0.028817924,0.025693828,0.022516755,0.020025538,0.019145483,0.019788042,0.021268675,0.022987202,0.025848307,0.030201286,0.03522608,0.037824567,0.036528442,0.031575587,0.025533102,0.019885316,0.01577417,0.014159318,0.017038358,0.025444806,0.037392903,0.047892686,0.0518236,0.048191812,0.039647866,0.030779386,0.024143279,0.021548457,0.023545807,0.030253632,0.039930906,0.049547177,0.056803618,0.060506042,0.061729982,0.061392024,0.060105216,0.057750434,0.055102583,0.05566592,0.061909363,0.07380868,0.08554363,0.09248764,0.09230938,0.087990075,0.08142961,0.074411646,0.06688803,0.06186,0.061753225,0.06873649,0.07928636,0.08873544,0.09195161,0.08928529,0.083242625,0.07756287,0.07319861,0.06989288,0.06622718,0.06137547,0.054768298,0.047430206,0.04086502,0.036936563,0.036075577,0.03799194,0.040982533,0.043119077,0.04255001,0.03956585,0.03618467,0.0351041,0.037063133,0.0408469,0.044280395,0.046372402,0.04703876,0.047435313,0.048723172,0.053094357,0.06180331,0.07544894,0.09431975,0.11771079,0.14568727,0.17202218,0.19194676,0.19620048,0.18548037,0.15982755,0.12858741,0.09774604,0.07667134,0.068646416,0.074032016,0.08753163,0.10247651,0.11392063,0.11870674,0.11648352,0.10746896,0.09533477,0.0842699,0.07723569,0.07258996,0.0668425,0.059816808,0.05544113,0.05750547,0.06378433,0.067326136,0.06343781,0.054207847,0.04710239,0.04869314,0.059140127,0.072910644,0.08034152,0.077066876,0.06391952,0.050181076,0.043179225,0.04811086,0.06106183,0.07551413,0.0822192,0.07850639,0.06627752,0.05283211,0.04443576,0.04567285,0.061397094,0.093803845,0.1445172,0.20082708,0.24684279,0.26094833,0.24209946,0.19995111,0.15651634,0.12372034,0.10539914,0.09669655,0.0920498,0.089437194,0.09204153,0.104870595,0.12721533,0.1480974,0.15548865,0.14837278,0.14275642,0.15787105,0.19512619,0.2341901,0.24620901,0.22308914,0.17789584,0.13675202,0.11296564,0.109845996,0.12197729,0.14810239,0.18098967,0.20986508,0.21751936,0.20084536,0.16849409,0.14105316,0.12796336,0.12840237,0.12937753,0.12244689,0.104717515,0.08343328,0.06585972,0.056673165,0.05325775,0.05183218,0.050096214,0.04954176,0.05117328,0.054690283,0.057678744,0.059804667,0.061323974,0.064576305,0.069473356,0.075718455,0.0804272,0.08181137,0.07856474,0.07196491,0.06499382,0.060458135,0.059744656,0.06094991,0.062047213,0.061315652,0.060274478,0.062029224,0.07137338,0.09051489,0.11501954,0.13382284,0.13490428,0.11680513,0.08780855,0.061858807,0.045103434,0.03753492,0.03409663,0.033619147,0.03755011,0.04895665,0.067187674,0.08704731,0.103284486,0.11477951,0.1271943,0.14165165,0.15306796,0.14827113,0.1242331,0.08759001,0.055343658,0.03744142,0.036365952,0.045204204,0.05673294,0.06560206,0.07064551,0.07275844,0.07313284,0.07423586,0.07946426,0.09107324,0.10614738,0.117796086,0.12175411,0.12048777,0.12178207,0.12960789,0.14135146,0.14784487,0.14424951,0.13098244,0.11570657,0.103146434,0.095051795,0.088128485,0.07971444,0.0693816,0.059755683,0.055804927,0.061659303,0.08000516,0.10715979,0.13530089,0.15359086,0.15832241,0.15272363,0.14493899,0.13926204,0.1353498,0.13263257,0.13221188,0.13686223,0.14307027,0.14687748,0.14593546,0.15050931,0.16696995,0.19448026,0.2124276,0.20770784,0.17763554,0.14165291,0.11441323,0.10339292,0.10101824,0.100178845,0.098553866,0.103131615,0.124547444,0.16523434,0.21459515,0.25084952,0.2620432,0.2488972,0.2263457,0.2016573,0.18093805,0.16167139,0.14836746,0.13757086,0.12986667,0.11854548,0.10441571,0.08640524,0.07257947,0.07058352,0.087759666,0.117540926,0.14379777,0.14964917,0.13404264,0.11119247,0.09764335,0.097959496,0.10297623,0.10286322,0.09476905,0.08934642,0.100564815,0.14332491,0.2135657,0.29526612,0.3584622,0.39251217,0.3964877,0.38369134,0.3520927,0.3010426,0.23191845,0.16326354,0.11324137,0.090866655,0.08848339,0.09175106,0.08951635,0.08090281,0.07207855,0.07128441,0.07961555,0.09193656,0.097633414,0.092276834,0.077680655,0.061898615,0.05138001,0.050191116,0.061446503,0.082886435,0.10824114,0.124903776,0.12963267,0.12571971,0.12257191,0.11972644,0.11364251,0.10639868,0.114082895,0.15079968,0.20953773,0.2597777,0.27381924,0.24897064,0.20734322,0.17022842,0.1451363,0.12827636,0.117159694,0.112951525,0.11501954,0.12078307,0.124135755,0.122704744,0.114060886,0.100695424,0.08469886,0.06999638,0.058183152,0.049637664,0.04348282,0.03855401,0.0348692,0.032315288,0.032316927,0.036308873,0.047735583,0.06603781,0.08700856,0.10138985,0.10592699,0.10362799,0.101704955,0.10114988,0.09740084,0.08805203,0.077416055,0.07502228,0.08364763,0.098902784,0.11050867,0.115513176,0.11801064,0.13101268,0.16322656,0.2189877,0.28258368,0.33112916,0.33410037,0.28859726,0.2094108,0.13213643,0.07594346,0.04796298,0.03772672,0.036412608,0.036533732,0.036937613,0.03837092,0.04272401,0.049840853,0.05871926,0.067443006,0.07558342,0.08188141,0.08595691,0.08575072,0.082936235,0.08106354,0.08853779,0.106761426,0.13327782,0.15941079,0.1890933,0.22355743,0.26077786,0.27621332,0.25617114,0.20305365,0.14863858,0.1190035,0.12522417,0.15354134,0.18536067,0.20476381,0.2118309,0.21157002,0.21589386,0.22127779,0.22179486,0.19994462,0.15733752,0.10259673,0.061167497,0.048241105,0.07436695,0.12880455,0.19248496,0.23725276,0.25459707,0.25150517,0.24563068,0.23810028,0.21829283,0.17875294,0.12837984,0.08749252,0.06926834,0.07565396,0.09772173,0.12290003,0.13782258,0.1326866,0.10934982,0.07821638,0.05328201,0.03969508,0.03737199,0.042881932,0.05559067,0.072193384,0.087656796,0.09523145,0.09346262,0.085328855,0.07672986,0.07083824,0.067624114,0.06468263,0.060891733,0.05725063,0.057700027,0.06382346,0.074045815,0.083421916,0.09182874,0.10518699,0.12773277,0.1548186,0.17198908,0.17186286,0.15779115,0.14154375,0.1282257,0.11469526,0.097305,0.077570826,0.06401425,0.061565142,0.07182819,0.08842418,0.10554267,0.114861965,0.113625966,0.1004462,0.08182591,0.06522539,0.060269583,0.069224566,0.08795858,0.10463172,0.11036544,0.10268868,0.088055454,0.07278467,0.060776625,0.051480427,0.045326684,0.0424369,0.043175906,0.045887988,0.04921327,0.052093685,0.054525375,0.05696998,0.060350418,0.06557748,0.07206673,0.078222215,0.08122148,0.08025944,0.075657815,0.071525656,0.07173583,0.08020135,0.09443286,0.10853315,0.1138145,0.10838983,0.09572253,0.084192775,0.07710952,0.07338199,0.07016855,0.07208928,0.091828324,0.13651754,0.19748636,0.24610205,0.26017627,0.23462307,0.18963651,0.14701058,0.123669714,0.12323325,0.14174432,0.1671607,0.18480478,0.18593335,0.17297344,0.1556102,0.14152847,0.13164894,0.12408629,0.11785066,0.113092296,0.10924328,0.10426151,0.099341355,0.09630067,0.098395295,0.102034904,0.10330936,0.09721043,0.08755368,0.079705216,0.07976843,0.087732576,0.10224972,0.12353208,0.1520207,0.18632118,0.21917462,0.2440021,0.25471684,0.24971455,0.22838022,0.19477151,0.15615126,0.12301903,0.10396064,0.10206574,0.11394626,0.13139974,0.14781348,0.15877686,0.16412057,0.164452,0.16347969,0.1657158,0.17451642,0.18710452,0.19688849,0.19689383,0.187279,0.17037724,0.15151383,0.13143359,0.114382826,0.10372913,0.10495206,0.11604216,0.12979154,0.13486563,0.12652835,0.10790196,0.09013068,0.08114808,0.0835942,0.0908375,0.09641384,0.09569075,0.09063551,0.084056385,0.07891035,0.07739792,0.08361506,0.102320105,0.13580038,0.17865896,0.21761256,0.2350065,0.22184487,0.18502176,0.14536612,0.12224925,0.120321244,0.12965609,0.13487874,0.12881854,0.11519637,0.10552219,0.10858413,0.123681866,0.14103629,0.14862733,0.14213657,0.12631495,0.11029872,0.09932009,0.09504378,0.098793484,0.11474197,0.14143108,0.17206569,0.19228853,0.19834156,0.19076647,0.18151681,0.17254873,0.16835372,0.16444136,0.16511412,0.16686256,0.16882932,0.16111428,0.14179884,0.1124731,0.08472544,0.0675483,0.066751115,0.08008506,0.10272338,0.12758869,0.1513492,0.1734016,0.19660915,0.21963196,0.23835714,0.24762864,0.25085595,0.2538748,0.2601482,0.2617204,0.25111112,0.22589512,0.19436759,0.16286738,0.13614176,0.11304731,0.09562906,0.0842764,0.08267344,0.09174666,0.1103876,0.13259518,0.14919405,0.15644304,0.15321445,0.14638795,0.13821958,0.13325243,0.12878487,0.12344399,0.11227813,0.09507227,0.074836306,0.05988754,0.059758145,0.0836679,0.13378192,0.2005903,0.26002768,0.28688207,0.26982066,0.22060786,0.16372754,0.11991737,0.09681117,0.089850664,0.091035396,0.093281575,0.093906224,0.09385151,0.09627277,0.10554862,0.12065458,0.13816456,0.14959204,0.1544344,0.15485983,0.15797019,0.1632567,0.1663336,0.16126277,0.1474747,0.13065784,0.11733222,0.11048254,0.10675225,0.10036022,0.089579456,0.07741488,0.070383765,0.07041088,0.07587076,0.08220067,0.08758672,0.09341755,0.102430515,0.116807364,0.13373496,0.14856923,0.15580635,0.15567525,0.15116696,0.14650469,0.1444695,0.14726667,0.15647852,0.16904485,0.17988811,0.18403743,0.18388999,0.18267773,0.18400563,0.1841405,0.18042427,0.16890489,0.1532744,0.13961805,0.13617633,0.14574982,0.16375558,0.18398301,0.19825388,0.20400286,0.19795842,0.18426923,0.16649485,0.1508105,0.1383232,0.1301124,0.124629825,0.12049332,0.11507872,0.108958185,0.10456782,0.10477766,0.10853008,0.11410064,0.121872924,0.13467248,0.15411694,0.17529434,0.19046164,0.19033407,0.17403252,0.14583021,0.116234995,0.091441356,0.075358815,0.068007894,0.07068893,0.081601806,0.09598375,0.106051646,0.107833736,0.10541847,0.110380806,0.13707225,0.18903941,0.25384462,0.30101845,0.30607465,0.26567987,0.20569466,0.1567743,0.13592917,0.13896579,0.1523638,0.16402066,0.16713153,0.16335858,0.1606137,0.16853362,0.18798439,0.21158014,0.23255396,0.25006613,0.26440993,0.26607057,0.24389388,0.19602168,0.13935457,0.09510387,0.07621596,0.08073286,0.09828466,0.117946655,0.13179292,0.13778369,0.13698483,0.1320349,0.12394447,0.113342665,0.10160909,0.09171659,0.087586604,0.093524665,0.10944279,0.12949927,0.1415688,0.13952465,0.12573613,0.11204102,0.10495937,0.10470945,0.10424894,0.10054892,0.094923,0.093511164,0.100116044,0.11301011,0.12551068,0.13035543,0.12648526,0.118247084,0.11412158,0.11853125,0.13196205,0.14856869,0.1625656,0.16749983,0.16086523,0.1427009,0.11827766,0.09471262,0.07997618,0.078699164,0.09363995,0.11965192,0.14872159,0.16690521,0.17100097,0.1641988,0.15982871,0.16187088,0.16545302,0.15917236,0.13939822,0.114294074,0.09479186,0.087008655,0.088008374,0.093233295,0.10047387,0.110262275,0.1260071,0.14882237,0.17798257,0.20642452,0.22484852,0.22612624,0.20747747,0.17603952,0.14126913,0.11737251,0.10846192,0.11460761,0.12583558,0.1371872,0.14205837,0.1412171,0.13239719,0.12278653,0.119039916,0.13352394,0.16492212,0.20444109,0.23284219,0.24231684,0.23648691,0.22893818,0.22612526,0.2239557,0.2136767,0.19194424,0.16476981,0.14242832,0.13309719,0.138488,0.1542085,0.17248486,0.18637699,0.1906094,0.18474938,0.17008023,0.15256263,0.13745548,0.1314647,0.13679641,0.15074943,0.16623043,0.17671478,0.18469125,0.19557907,0.21379173,0.23171134,0.23890848,0.22740416,0.2007247,0.16852164,0.14174257,0.1262288,0.12470438,0.13865243,0.17202894,0.22233094,0.27973166,0.32350406,0.34068808,0.3274996,0.29635367,0.26051718,0.23196538,0.21358721,0.20134152,0.19084334,0.18029277,0.17654842,0.18188764,0.19622417,0.2083598,0.21122663,0.19871052,0.17781164,0.15760674,0.14959495,0.15622783,0.17651434,0.20846279,0.24987924,0.29261294,0.32093513,0.32182413,0.297333,0.26232806,0.23608236,0.22489856,0.22969799,0.24446972,0.26989588,0.29804024,0.31761885,0.31008735,0.27270624,0.2174974,0.16865568,0.14070481,0.13488446,0.14129187,0.1494511,0.1532742,0.15206002,0.14980312,0.15135284,0.15898687,0.17101574,0.18377566,0.19566815,0.20560157,0.21227759,0.21414173,0.21639581,0.23061621,0.26507607,0.3111559,0.34588912,0.34848368,0.31762078,0.26727852,0.21809119,0.18317358,0.17121632,0.17747469,0.19127846,0.1945567,0.1816861,0.15625457,0.13315906,0.11982143,0.11764296,0.11827711,0.117407866,0.11379227,0.11429388,0.12261399,0.14132524,0.16496384,0.18882406,0.20561592,0.2124974,0.20697512,0.1906622,0.16708238,0.14315227,0.12542526,0.11656044,0.11542317,0.12080973,0.13720725,0.16618176,0.2032631,0.2300467,0.23446037,0.21257521,0.17967437,0.15021934,0.13659582,0.13927388,0.1539458,0.1719201,0.18539892,0.1901039,0.18950142,0.18890037,0.19317949,0.19590448,0.19189751,0.17735535,0.16390173,0.16159236,0.17599565,0.19509375,0.20360409,0.19021511,0.15881415,0.121544026,0.09158972,0.07630574,0.07730076,0.09447557,0.12208804,0.15258734,0.17432345,0.18693398,0.19410627,0.20506962,0.2176711,0.22790404,0.2297429,0.22545551,0.21951969,0.21773541,0.22373188,0.23517577,0.2465747,0.24552041,0.22826399,0.19458365,0.15886922,0.12941727,0.113678776,0.10705308,0.10799346,0.11393248,0.124069296,0.13378768,0.13821602,0.13820332,0.13973896,0.1500346,0.16738321,0.18296535,0.18708974,0.18050696,0.17429675,0.17774473,0.18993586,0.19760203,0.19359797,0.17655778,0.1570732,0.13955823,0.13164365,0.1332066,0.14833279,0.17395256,0.20991696,0.2495764,0.28605187,0.3091509,0.31601182,0.3081275,0.29084957,0.26648405,0.24175608,0.2217449,0.21109505,0.20263708,0.19611327,0.1935519,0.20712443,0.2307225,0.25359118,0.25567678,0.23658079,0.2011763,0.1666043,0.14280497,0.13782924,0.14880675,0.16753758,0.1855114,0.19834332,0.21063942,0.22263502,0.23462446,0.2367184,0.22718705,0.20422821,0.17754294,0.15331328,0.14014126,0.1404738,0.15332212,0.16904785,0.17391388,0.16009857,0.13250509,0.10687846,0.09688005,0.10820862,0.13625455,0.17404683,0.2118802,0.24407212,0.2632852,0.2682434,0.2596156,0.24491934,0.23245417,0.22576225,0.22579312,0.22769207,0.23035192,0.22607511,0.20860489,0.17262565,0.12576178,0.08281088,0.057739254,0.0535932,0.064860575,0.080262534,0.0909234,0.08951917,0.07752439,0.05960911,0.044119585,0.033807505,0.02849239,0.02538591,0.024163874,0.026296973,0.03265411,0.041411776,0.04863052,0.05396362,0.0626486,0.082350984,0.113872744,0.14786659,0.17061983,0.17320128,0.15622763,0.12576075,0.09091177,0.059477657,0.039234538,0.034500312,0.048306894,0.07935361,0.12168261,0.16344343,0.19097646,0.19561201,0.17783129,0.15120302,0.13865484,0.16060907,0.21758749,0.28305268,0.32104608,0.31042114,0.25953722,0.19786887,0.1581886,0.16226895,0.20421742,0.2558889,0.27688584,0.25326794,0.20206992,0.16561864,0.17200989,0.21866088,0.27484137,0.30376515,0.29193085,0.24801666,0.19845279,0.15838857,0.13239786,0.11314974,0.09625933,0.08050912,0.06674494,0.056660075,0.05047742,0.04912102,0.049978476,0.050747637,0.048800852,0.045426432,0.043090835,0.045435373,0.052356686,0.060843308,0.064201735,0.059859682,0.0487486,0.037286736,0.029017622,0.025742887,0.024933802,0.02513627,0.024855057,0.024647398,0.024662746,0.025191313,0.025569284,0.025152856,0.023615172,0.02132199,0.019070713,0.017351264,0.016252957,0.015438327,0.014745823,0.014197127,0.014133654,0.014790314,0.016341254,0.018795596,0.022196194,0.02625505,0.030217135,0.033129822,0.034914818,0.03653458,0.039195914,0.04242715,0.044088434,0.041736852,0.035335343,0.027828762,0.023407355,0.02473948,0.031760003,0.04363519,0.06108995,0.08503559,0.113210656,0.13625638,0.14419419,0.13193852,0.106430136,0.07884803,0.059020925,0.048395704,0.044397082,0.04456329,0.04971412,0.0615536,0.078202955,0.093925945,0.10212195,0.10035354,0.09047546,0.076596715,0.06275239,0.051658887,0.04465292,0.040724557,0.038512606,0.036838833,0.03595118,0.035941865,0.036848616,0.037964664,0.038938742,0.03921965,0.039362106,0.03945176,0.03979422,0.039545294,0.038277145,0.035630144,0.031975128,0.028393373,0.026338944,0.026754387,0.028884253,0.03087218,0.031391,0.030206991,0.028064199,0.025505945,0.023474706,0.022958374,0.024449164,0.026872883,0.02792001,0.026135998,0.022133926,0.018293004,0.016581394,0.01728996,0.019543042,0.022305598,0.025256045,0.028098278,0.030499427,0.031968307,0.03306623,0.03527476,0.040642947,0.048852604,0.057356805,0.061564166,0.059289668,0.05080794,0.039312314,0.028442277,0.022251567,0.02407295,0.0338017,0.04680249,0.055185392,0.05437174,0.04710715,0.04285288,0.051731233,0.07395128,0.099484295,0.111071944,0.10230562,0.07809621,0.053615417,0.03804737,0.03614902,0.051497597,0.09017115,0.1545039,0.23119366,0.29651323,0.32533577,0.31167042,0.26500174,0.20544986,0.14650248,0.09678409,0.058691066,0.03433099,0.021786185,0.018006688,0.021358773,0.03556788,0.06692261,0.11339293,0.16390012,0.20241582,0.22518055,0.23307832,0.22776534,0.20084947,0.1528049,0.0946097,0.04671605,0.018375175,0.0075133764,0.004718562,0.0042118803,0.0037012103,0.003269678,0.0028967226,0.0026145112,0.0023339174,0.0021115846,0.0019890787]