[0.07215455,0.079396605,0.093827754,0.10998263,0.124520026,0.13758649,0.149643,0.16019289,0.16829574,0.17446983,0.18039326,0.18654566,0.19115931,0.19031425,0.18095817,0.16220355,0.13652085,0.10810134,0.08157593,0.06012572,0.04502901,0.035861906,0.031278733,0.029667469,0.029359587,0.029074347,0.028413689,0.028340219,0.03067615,0.036698814,0.045696855,0.055046577,0.061772674,0.06458473,0.064000145,0.06153868,0.058187634,0.054536644,0.050895896,0.04794957,0.04633515,0.046469677,0.048012022,0.05014978,0.05177374,0.052176163,0.05106063,0.048741054,0.04576576,0.04280406,0.04032671,0.038523544,0.037375435,0.036679167,0.036230672,0.035775993,0.0351873,0.03442527,0.03350772,0.03245491,0.031124057,0.029443972,0.027336156,0.025011068,0.022662966,0.020518236,0.018688474,0.017263515,0.016276516,0.015602534,0.015071444,0.014569704,0.014100183,0.013729014,0.013702991,0.014987238,0.01928387,0.028086172,0.04066213,0.053432673,0.06161667,0.06277314,0.05838513,0.052656334,0.049168497,0.049114447,0.051433545,0.054387,0.05655403,0.057279453,0.056750286,0.05586173,0.05572376,0.056712136,0.058121532,0.058561597,0.05704649,0.053545628,0.048782542,0.04374292,0.03906853,0.035056915,0.03149319,0.02886113,0.028750308,0.034786955,0.04983734,0.075433426,0.109213196,0.14868419,0.18986382,0.22955494,0.26113307,0.2777119,0.2734656,0.24914305,0.21141554,0.16985606,0.1320813,0.1015738,0.079502665,0.06667269,0.06426627,0.071619265,0.08471028,0.097071536,0.102971695,0.100325175,0.09082302,0.078269176,0.066434525,0.057845592,0.053106647,0.05091032,0.048846077,0.044929195,0.038697075,0.031376112,0.02492521,0.02085304,0.019364847,0.0193517,0.01932971,0.018400721,0.016770894,0.015175694,0.014197183,0.013806042,0.013608013,0.013242386,0.012631682,0.011885684,0.0110607,0.010112833,0.0090932585,0.008337897,0.008281454,0.009003435,0.010057177,0.010842498,0.011180468,0.011339446,0.011564347,0.011694462,0.011405808,0.010659548,0.009752024,0.0089528,0.008284415,0.007707299,0.007313994,0.0072007235,0.007195683,0.0069118137,0.006092971,0.0048949863,0.0037660785,0.0031458747,0.0032028668,0.0038400593,0.004775524,0.0057545993,0.0066357683,0.007574716,0.008904203,0.010990442,0.013655749,0.016051179,0.016957225,0.015848823,0.013396617,0.011048574,0.009857873,0.0098899165,0.010517235,0.011100944,0.011271879,0.010923137,0.010212974,0.00956234,0.009384406,0.009638098,0.009826541,0.009461724,0.00861279,0.0078772865,0.007842007,0.008655286,0.009883214,0.010889079,0.011104059,0.010433347,0.009273872,0.008299181,0.007988761,0.008319226,0.00892527,0.009399895,0.009572671,0.009573252,0.009630624,0.009837751,0.00984747,0.009210504,0.0077772946,0.006045922,0.0047024763,0.0041077514,0.0040465207,0.004131039,0.0042205183,0.0045394073,0.0053123715,0.006412098,0.0073607625,0.007788067,0.007815589,0.0079453075,0.0084817335,0.009166509,0.009617054,0.01024218,0.013094589,0.020870209,0.035392214,0.055128247,0.07633307,0.094428755,0.10752799,0.11578498,0.120937884,0.124396406,0.12724404,0.13037956,0.133653,0.13640602,0.13712792,0.13535304,0.13048851,0.12188361,0.10819918,0.08980649,0.06963355,0.052441612,0.041435,0.036452204,0.03443389,0.03221203,0.028441774,0.023984818,0.02058191,0.019647993,0.02152645,0.025621803,0.030608773,0.03502439,0.03782403,0.038898956,0.03899766,0.039074276,0.039710164,0.040828716,0.04213086,0.043260813,0.044044893,0.04426762,0.043920126,0.043123174,0.0421866,0.04126664,0.040408637,0.039553896,0.03876709,0.03808141,0.03757021,0.037108514,0.036651935,0.036080226,0.035485506,0.03492828,0.03449743,0.034128994,0.03371699,0.03320453,0.032530043,0.031529453,0.029886417,0.027539821,0.024897538,0.022693122,0.021239458,0.02018273,0.018810047,0.016871287,0.014688108,0.012807629,0.011475001,0.010780867,0.01105602,0.01290936,0.016710632,0.021942994,0.027341599,0.031606603,0.03417946,0.03535896,0.03583863,0.036224123,0.036750484,0.037357736,0.037782192,0.037661333,0.03668004,0.034736916,0.03214625,0.029414041,0.026962483,0.02478283,0.022635648,0.02030678,0.017919468,0.015830746,0.014379017,0.013588298,0.013155248,0.012703401,0.012293248,0.0128793465,0.016679404,0.026075765,0.042093825,0.06229186,0.08246461,0.09879782,0.11132192,0.121939205,0.1328373,0.14350991,0.15246089,0.15780489,0.15894161,0.15563016,0.14832336,0.13770829,0.1254269,0.11340821,0.103783004,0.097756915,0.09570702,0.09676822,0.099676125,0.10295928,0.105620764,0.10684863,0.10613248,0.10308167,0.09778029,0.09071656,0.08277898,0.075015165,0.06832427,0.06337694,0.0599791,0.05766495,0.05533977,0.052852463,0.05008467,0.04801163,0.04680176,0.04699482,0.048111543,0.05028048,0.053021163,0.056203723,0.05880415,0.059819385,0.058205646,0.053865697,0.04742153,0.03997682,0.03262153,0.026188323,0.021108335,0.017351301,0.014568086,0.012401867,0.010645188,0.009395648,0.009253596,0.012119274,0.021446345,0.04112684,0.07223176,0.11051162,0.14767115,0.17615402,0.1939234,0.2037645,0.210499,0.21677238,0.22369432,0.23040028,0.23598777,0.23863707,0.23726733,0.23140979,0.22209513,0.21102244,0.19976665,0.1890872,0.1785397,0.16747318,0.15544242,0.14322133,0.13190544,0.122682355,0.11573207,0.11085189,0.107316256,0.10483208,0.10310272,0.10250792,0.10284836,0.104158424,0.105723046,0.10804834,0.111527115,0.117163755,0.124599874,0.13301253,0.14100628,0.1477051,0.15286274,0.15677534,0.15980715,0.16212589,0.16361822,0.16436614,0.1640721,0.16149543,0.15385878,0.1386498,0.11598488,0.089868404,0.06596806,0.048385173,0.037625324,0.031818684,0.028547265,0.026298223,0.024189055,0.021877958,0.019327005,0.017081173,0.01580556,0.015935028,0.0170327,0.018136615,0.018185722,0.016968334,0.014996231,0.013263191,0.012323662,0.012462813,0.014209437,0.01941322,0.030990496,0.05114867,0.07913395,0.11058092,0.1393441,0.1603644,0.17166714,0.17493844,0.17396505,0.17228068,0.17079465,0.16804315,0.16200884,0.15198533,0.13853227,0.12277656,0.105905466,0.089514405,0.07542503,0.06502854,0.05834658,0.05384271,0.049482208,0.04392915,0.037351828,0.030725626,0.02503951,0.020658603,0.017731974,0.016721375,0.018698856,0.02472272,0.0345145,0.04574206,0.05467062,0.058622364,0.057497893,0.05370677,0.049941618,0.04765092,0.046724766,0.046423767,0.0461982,0.045784485,0.045077648,0.043892298,0.04215978,0.04000723,0.03775926,0.035768922,0.034238506,0.033274006,0.03281136,0.032744426,0.032852132,0.03294235,0.032856897,0.03253146,0.032042746,0.03151693,0.031151474,0.031107122,0.031660978,0.033039954,0.035137262,0.037086178,0.03763092,0.036033873,0.033060413,0.030412974,0.029454214,0.029834323,0.030089527,0.028936476,0.026487945,0.023962783,0.022709506,0.023688251,0.027269384,0.03334875,0.040674094,0.04713309,0.050628006,0.050883014,0.04955158,0.04902764,0.050323233,0.052588683,0.053989176,0.05328312,0.05040029,0.045922775,0.040567826,0.03499035,0.030232796,0.027264616,0.02635789,0.026482167,0.026036171,0.024055002,0.020878667,0.017668933,0.015308742,0.013895758,0.013006783,0.012774191,0.014427312,0.021020079,0.035751473,0.061183542,0.09566277,0.1343692,0.16928057,0.19472478,0.20843011,0.2127456,0.2104768,0.2030987,0.19028068,0.17218791,0.15090525,0.12960732,0.11125755,0.09711453,0.08732033,0.08061743,0.07552535,0.0705434,0.06556224,0.06128711,0.058631163,0.05740245,0.056597512,0.0549881,0.05193502,0.047320504,0.04139637,0.034613594,0.027793065,0.022036118,0.018412335,0.017336905,0.018363869,0.02039619,0.02231489,0.023363182,0.023231423,0.02190759,0.019597543,0.016677665,0.013616822,0.010824616,0.008559437,0.006905141,0.00581142,0.0051338305,0.0047122273,0.004452236,0.0043506897,0.0044269026,0.0046484084,0.0049280697,0.005171709,0.0053185876,0.0053558666,0.0053653247,0.0055115744,0.0059278584,0.0065250737,0.00695659,0.0068455306,0.0060872957,0.004984003,0.004038359,0.0036411022,0.0038128756,0.0042538694,0.0047507975,0.005585152,0.0077331513,0.012061476,0.018702576,0.026275834,0.032738782,0.035968255,0.03536096,0.031964514,0.028453812,0.02708946,0.028314596,0.030174455,0.030156815,0.027188495,0.022470048,0.01827856,0.016113488,0.015840122,0.01610554,0.015627278,0.013934583,0.011526312,0.009192211,0.00750573,0.006476963,0.005864168,0.00541331,0.00508195,0.0048360564,0.0046088733,0.004275754,0.0038392043,0.0033781556,0.0029898358,0.002686564,0.0024765923,0.0023937912,0.0024698966,0.0026399859,0.0027536508,0.0026849452,0.0024448833,0.00220314,0.0021947746,0.0025736764,0.0032842567,0.0040819156,0.0047251503,0.005148846,0.0054539745,0.0056888238,0.005789094,0.005643138,0.0052754306,0.0047959313,0.0043674666,0.004096678,0.004005162,0.0039502867,0.003708057,0.003173461,0.002479383,0.0019238768,0.0020346881,0.0042034616,0.011425479,0.027270837,0.05279678,0.08329114,0.10987234,0.124799944,0.12712513,0.121484876,0.113598146,0.10591531,0.0985894,0.091833234,0.08679605,0.08464953,0.08505723,0.087073356,0.08939653,0.09180396,0.09420771,0.09711224,0.10032708,0.10369607,0.106385194,0.10805238,0.1083728,0.10768149,0.10619026,0.104209036,0.10194021,0.099633195,0.097620726,0.09591132,0.094550215,0.09319266,0.09184906,0.090146154,0.08808476,0.08538238,0.08251531,0.07991689,0.07832766,0.07767651,0.07762579,0.07747924,0.07698684,0.076255776,0.075645536,0.07552489,0.07582712,0.0763644,0.076489,0.07589987,0.0741764,0.07155625,0.068233766,0.064781,0.061429005,0.058361303,0.05565982,0.05341283,0.051802937,0.050831925,0.050814223,0.051982183,0.054360762,0.057082757,0.058733936,0.05837236,0.05636564,0.054859906,0.056399997,0.062430937,0.07169167,0.081044205,0.08734691,0.089226805,0.08699414,0.08164624,0.074168526,0.065461,0.05630715,0.047240153,0.03853543,0.030502481,0.023607058,0.018340163,0.014829713,0.012782383,0.011672112,0.011123314,0.01094004,0.010932632,0.010824397,0.010400903,0.0097415885,0.009098032,0.008671357,0.0084228935,0.008204305,0.007922879,0.007619946,0.007350778,0.007093581,0.0067542256,0.006363617,0.006077523,0.006107835,0.0064539914,0.007003447,0.0075956658,0.008312385,0.009512619,0.012004574,0.017025484,0.025583684,0.03790362,0.05241232,0.06723539,0.0806083,0.092807256,0.103647195,0.11256882,0.11709214,0.11639968,0.11156303,0.106417984,0.1038594,0.10469138,0.106512934,0.10622337,0.101365,0.091722004,0.0785095,0.0639922,0.050271217,0.038988996,0.030704638,0.025112445,0.021329457,0.01854062,0.016258538,0.014439193,0.013192304,0.0125515675,0.0121996775,0.011715174,0.010839663,0.00978486,0.008959412,0.008614708,0.008565303,0.0083702365,0.0077101286,0.006598037,0.005342558,0.0042583393,0.0035167858,0.0030780376,0.0028107716,0.0026011327,0.0024459397,0.002429556,0.002612286,0.0029258635,0.0031991454,0.003266284,0.0030935558,0.0027622106,0.002442617,0.0022967483,0.0024329948,0.0028017836,0.003200722,0.0033679272,0.0031698197,0.0027026,0.0022549129,0.0021480005,0.0025408799,0.0033232507,0.0043132934,0.005899636,0.009464459,0.016931934,0.028798746,0.04290348,0.054772783,0.060776528,0.060410712,0.05655935,0.053034607,0.05175515,0.052447584,0.053086042,0.05252294,0.05007567,0.04654126,0.04230557,0.038140733,0.033996046,0.029981079,0.025929453,0.022088548,0.018720234,0.016006006,0.013828141,0.011957407,0.010286883,0.008828479,0.0075934087,0.0065285917,0.0056470484,0.0051070736,0.0051352647,0.005840035,0.007106349,0.008639954,0.0100518605,0.0110218115,0.011372692,0.0111936005,0.010746688,0.010373569,0.010303002,0.010554993,0.010962587,0.011206765,0.011103123,0.010723393,0.010684378,0.011892118,0.015328221,0.021521727,0.03045625,0.041226376,0.0522169,0.061215907,0.06689119,0.06932923,0.07057089,0.07270699,0.07709466,0.08443081,0.097961456,0.12673438,0.18197896,0.26750886,0.36685422,0.4496821,0.4879484,0.47865406,0.4386532,0.39155337,0.34848142,0.311753,0.27990368,0.25447038,0.23650967,0.22526227,0.2185952,0.21503876,0.21433009,0.21620643,0.2199348,0.2243108,0.22798659,0.2296492,0.22818129,0.22318155,0.21516244,0.20552552,0.19601451,0.18808551,0.18274601,0.18075764,0.18301523,0.18954806,0.19872491,0.20727704,0.2125185,0.2139424,0.2129149,0.21100317,0.20891203,0.20689733,0.20493485,0.20246013,0.19837838,0.19187176,0.18335219,0.17409618,0.16544427,0.15845954,0.1544166,0.15496114,0.16076808,0.16991688,0.17788506,0.1801061,0.17540568,0.16693865,0.16025858,0.15944088,0.16597165,0.17946589,0.20026024,0.2265748,0.2524912,0.26651227,0.26051927,0.23508163,0.20099473,0.16959679,0.14705887,0.1327391,0.12380957,0.11777809,0.113289446,0.10940906,0.10561023,0.10181833,0.09921569,0.10131339,0.11495596,0.14658336,0.19621281,0.25250337,0.2994763,0.32659554,0.33655632,0.3384614,0.3395333,0.33996275,0.33706975,0.3301452,0.32075045,0.31212878,0.3040186,0.2940686,0.2763696,0.24861391,0.21276134,0.17685829,0.14927219,0.13540018,0.13471653,0.14163047,0.148465,0.1496908,0.14631958,0.14714135,0.16575949,0.21029954,0.27482834,0.3403305,0.38841817,0.41459882,0.4259508,0.43241692,0.43694448,0.43962193,0.43846115,0.433377,0.424372,0.41367674,0.4044914,0.40096733,0.40481666,0.41331622,0.4157044,0.40027297,0.36126304,0.30694064,0.2506874,0.20320243,0.16592924,0.13685672,0.11462156,0.099415034,0.09093499,0.08694956,0.085107006,0.08332375,0.08073621,0.076986365,0.07256778,0.06830574,0.06487018,0.062468145,0.06158835,0.06381092,0.07116905,0.083954476,0.099395454,0.112742394,0.12238719,0.13417648,0.16182356,0.21523154,0.28775406,0.35227025,0.3784617,0.35416317,0.29282257,0.2213204,0.16136467,0.121917225,0.10070172,0.09137558,0.08778397,0.08625126,0.085525125,0.08541158,0.08606109,0.08713799,0.0884102,0.089699715,0.091363005,0.09364786,0.096763365,0.100753486,0.10594498,0.11257907,0.12037756,0.12841249,0.136602,0.14745039,0.16643731,0.19695549,0.23567493,0.27117178,0.29304406,0.2973974,0.2887054,0.2714328,0.24944156,0.22521721,0.20373857,0.18842568,0.18067558,0.17870285,0.18032022,0.18336003,0.18627553,0.18826212,0.18890405,0.18820716,0.18572234,0.18173736,0.17688154,0.17291778,0.17080103,0.1705715,0.17062445,0.1696576,0.16739689,0.1654269,0.16578092,0.16989164,0.17665577,0.18276788,0.18409002,0.179106,0.16980469,0.16002297,0.15209468,0.14585531,0.14027525,0.13547826,0.13237834,0.13144456,0.13120376,0.12998436,0.12668683,0.122413985,0.11864442,0.11654147,0.11556313,0.1145375,0.11257714,0.11002335,0.10800367,0.10764906,0.10963735,0.1139217,0.11944628,0.12412111,0.12798506,0.13621122,0.15924542,0.20307767,0.2618785,0.3178769,0.35569802,0.37142846,0.37246326,0.36698106,0.3594717,0.35165063,0.34530655,0.34063682,0.33507797,0.3253958,0.31157592,0.29749736,0.28625026,0.27727672,0.26640368,0.25166115,0.23415087,0.21767871,0.20397843,0.19338924,0.18488322,0.17854957,0.17422128,0.17143138,0.16958062,0.17021231,0.17793137,0.195955,0.2211497,0.24191754,0.24716933,0.23439421,0.21264249,0.19341218,0.18265234,0.17788295,0.17342408,0.16569446,0.15545021,0.14594714,0.13974875,0.13714121,0.13673913,0.13746682,0.13925774,0.1425067,0.14716975,0.15258819,0.15776421,0.16158687,0.16349173,0.16367076,0.16286725,0.16082639,0.15766723,0.15611148,0.16431278,0.19004832,0.23200183,0.27400923,0.29411462,0.2807876,0.24211913,0.19877994,0.16807139,0.15458536,0.15259364,0.15410846,0.15473549,0.15363777,0.15194279,0.15041132,0.1499055,0.15149643,0.15813863,0.17298584,0.19888555,0.23451324,0.2762953,0.31771746,0.35266244,0.37398434,0.3776252,0.36631644,0.35082904,0.34341666,0.34807682,0.36003932,0.36991,0.3706731,0.35689208,0.3269939,0.28446633,0.23948967,0.20285797,0.17922664,0.16553271,0.1549895,0.14354454,0.13053,0.118665785,0.112633735,0.12041527,0.15072285,0.20621495,0.27765277,0.34591904,0.39214173,0.40773246,0.3955119,0.36767185,0.3366969,0.31285837,0.29734972,0.28794587,0.2802858,0.27568552,0.2781814,0.29313862,0.31810513,0.3429624,0.35325095,0.34351516,0.3179418,0.28663424,0.2545229,0.22304834,0.19240923,0.16511637,0.14317696,0.12709782,0.11623621,0.109863974,0.10752749,0.10824261,0.11081898,0.11354178,0.11524471,0.11494762,0.11253437,0.108240806,0.103411295,0.099841416,0.09920734,0.10134095,0.10462793,0.10769484,0.113950364,0.1326646,0.17482479,0.24047244,0.31219742,0.3606453,0.36506936,0.32614294,0.26376155,0.20064212,0.15063907,0.117430836,0.09934724,0.09342468,0.09562076,0.10133544,0.10668858,0.110808335,0.11567068,0.123519085,0.1335092,0.14213371,0.14647537,0.14808406,0.1515122,0.16094454,0.17628802,0.19483362,0.21328926,0.23104,0.25046226,0.27684906,0.31527138,0.364009,0.41156968,0.4396154,0.43718645,0.40721568,0.36600074,0.3285092,0.30216157,0.28524938,0.27488783,0.26911414,0.26759875,0.26833275,0.26911223,0.26722196,0.2627331,0.2551463,0.24584456,0.23515362,0.2257567,0.21899801,0.21538667,0.21318203,0.21095884,0.20867014,0.20718654,0.20668374,0.20725922,0.21027352,0.2202384,0.23993163,0.26615673,0.2874,0.29159817,0.27493683,0.24451673,0.21292047,0.18883824,0.17461799,0.16698568,0.16252232,0.15899235,0.15639535,0.15474343,0.15366942,0.15207805,0.14930004,0.14554559,0.14173122,0.13872728,0.13646638,0.13421445,0.13110411,0.12703557,0.122199595,0.11653859,0.10949078,0.101403415,0.09725871,0.10818639,0.14982975,0.22814234,0.3307046,0.42357126,0.47445384,0.46941605,0.42298666,0.36032847,0.30214083,0.25545642,0.22026919,0.19603622,0.18285187,0.17875129,0.17872095,0.17805707,0.1744989,0.16840039,0.16114762,0.1549415,0.15169455,0.15168266,0.15261517,0.15187098,0.14887136,0.14587733,0.14538759,0.14784627,0.15166968,0.15582812,0.16188896,0.17211722,0.18575646,0.19743983,0.20088507,0.19426312,0.18151085,0.16924952,0.16193761,0.1601842,0.16114992,0.1609192,0.15668903,0.14844632,0.13862298,0.13030769,0.12537044,0.12384973,0.12463953,0.12643526,0.12836571,0.12983137,0.13020383,0.12891577,0.1258182,0.12167451,0.117716886,0.11528873,0.115567006,0.120954566,0.13590556,0.16556954,0.20903884,0.25518253,0.28490606,0.28527498,0.25847661,0.2215879,0.1920564,0.17788844,0.17495106,0.1745137,0.16938359,0.15749021,0.14055301,0.12208471,0.10509631,0.092035554,0.085137874,0.088643126,0.1075475,0.14557645,0.19858949,0.25527015,0.3010174,0.32813215,0.33796355,0.33804378,0.33521804,0.33203366,0.32745072,0.3185644,0.30399963,0.28408146,0.26104325,0.23669893,0.21327125,0.19224888,0.17466074,0.15898305,0.14339949,0.12737136,0.11320158,0.10307651,0.097146355,0.0948155,0.098877646,0.11679009,0.15341122,0.2053241,0.25903037,0.30346158,0.33428392,0.3564123,0.37380198,0.389022,0.40176526,0.4112667,0.41535136,0.41187596,0.40212008,0.3920022,0.38978866,0.4004767,0.42014492,0.4353898,0.42915118,0.39223757,0.32973292,0.258218,0.19481178,0.14882873,0.120399244,0.104990155,0.09765168,0.09445167,0.09222262,0.088607945,0.083055735,0.07689265,0.07237483,0.07097936,0.07281188,0.07701569,0.08254191,0.08861933,0.09431571,0.09877646,0.10127523,0.10208496,0.10303805,0.10890099,0.1284387,0.17014623,0.23409204,0.30322936,0.35061744,0.35481414,0.31682286,0.2550027,0.19209586,0.14020438,0.1020841,0.07529051,0.05756852,0.04650089,0.039784845,0.035439085,0.03232081,0.029942365,0.028106824,0.027178584,0.028561851,0.035184074,0.049926907,0.07363642,0.102929495,0.13228682,0.15673357,0.174954,0.18798585,0.19941397,0.21480054,0.24225533,0.2848077,0.3349543,0.37320328,0.38291445,0.36126828,0.3227143,0.28486493,0.2577516,0.2398839,0.22556593,0.2114095,0.19908004,0.19202538,0.19125468,0.19308679,0.19237934,0.18663698,0.17850216,0.17245054,0.17107792,0.17268638,0.17371525,0.17172278,0.1674767,0.1637277,0.16271149,0.16461007,0.16791709,0.17225812,0.1794746,0.19272572,0.21137017,0.22929214,0.23723336,0.23093832,0.21405686,0.19574805,0.18286097,0.17691074,0.1750551,0.17407696,0.17233591,0.1697765,0.1672126,0.16524623,0.16405039,0.1629621,0.16109823,0.1576189,0.15211077,0.14459448,0.13527875,0.1250067,0.114799194,0.10617614,0.099572234,0.09487581,0.09137372,0.090656884,0.09807911,0.122715436,0.17163415,0.24091779,0.31257284,0.36238036,0.3763069,0.35868552,0.3269129,0.2978835,0.27907982,0.26925215,0.2633032,0.25730947,0.2500333,0.24240376,0.23587029,0.23103885,0.2277358,0.2252745,0.2230937,0.22086471,0.21883501,0.21710463,0.21546118,0.21331213,0.21125601,0.21072312,0.21245539,0.2148205,0.21560065,0.21539427,0.21832298,0.2272029,0.23911256,0.245642,0.24079053,0.22548962,0.20738782,0.19338925,0.18590303,0.18262732,0.18054897,0.17825186,0.17584582,0.17376137,0.1717161,0.16917367,0.16596319,0.16282511,0.16099983,0.1608081,0.16124581,0.16076642,0.15916722,0.15761514,0.15720369,0.15781513,0.1584288,0.15852936,0.15972203,0.16626473,0.18441218,0.21504013,0.24977553,0.27069876,0.26579276,0.2367739,0.20010555,0.17077993,0.15457815,0.14716975,0.14322896,0.14029057,0.1384176,0.1382611,0.1429867,0.16133864,0.20357323,0.2692707,0.33944026,0.3853275,0.38893864,0.35504472,0.3036971,0.25551894,0.22097985,0.2025011,0.19614635,0.19750583,0.20173015,0.20707785,0.21214181,0.21719988,0.22157256,0.22467507,0.22384627,0.21730308,0.20553158,0.19309115,0.1848135,0.18308462,0.18616472,0.19087188,0.19433375,0.19820775,0.21055855,0.2474522,0.31973258,0.42035332,0.51466984,0.5636571,0.548853,0.4902655,0.4255735,0.38383475,0.36968932,0.3717858,0.37847376,0.3839576,0.38629577,0.38263512,0.36867464,0.3431723,0.30855942,0.2727347,0.24269587,0.22364838,0.21482372,0.21281837,0.21282907,0.21147357,0.20737767,0.20000713,0.19018094,0.17844568,0.16635202,0.15424532,0.14163025,0.12688752,0.10990622,0.09319695,0.08062295,0.07450357,0.07368863,0.07477629,0.074491985,0.07142031,0.06593221,0.059345376,0.053529993,0.050856948,0.05354773,0.062359363,0.07561457,0.090115346,0.1029826,0.11298288,0.120120145,0.12472808,0.1266474,0.12532344,0.11991978,0.110269845,0.097481035,0.08386561,0.0719036,0.0626957,0.056186426,0.051273454,0.047284987,0.04363972,0.04052647,0.03841926,0.038177975,0.040135693,0.04349238,0.046696153,0.048627254,0.049581748,0.050831676,0.05318689,0.057787795,0.06709769,0.08660817,0.11861702,0.15765329,0.18768507,0.19437589,0.17472982,0.14131726,0.11025501,0.09081712,0.08154229,0.07602781,0.069364876,0.06019689,0.050303996,0.042186096,0.038433347,0.040206593,0.046933476,0.055638403,0.062630676,0.06594596,0.06793842,0.07389896,0.08855754,0.111676015,0.13840054,0.16185509,0.17762665,0.1850755,0.18728893,0.18890788,0.19405602,0.20345674,0.21363133,0.2183451,0.21348818,0.1994043,0.18076728,0.16222222,0.1466237,0.13393678,0.12323565,0.113067575,0.10298548,0.09313011,0.08444033,0.07751996,0.07295802,0.07141174,0.07371322,0.07979504,0.08787649,0.09489893,0.097815685,0.09484746,0.08599767,0.0732376,0.060106307,0.050310675,0.047192115,0.055174787,0.083344065,0.14219643,0.23368567,0.33785152,0.41902217,0.44550702,0.4147347,0.35089532,0.28869572,0.25098708,0.24501733,0.26417744,0.29509354,0.32198688,0.3332057,0.32415557,0.2973576,0.2601535,0.22228032,0.19272494,0.1757009,0.16994345,0.17086844,0.17446023,0.17816935,0.18060191,0.1807,0.17827849,0.17418148,0.17170805,0.17646585,0.1953217,0.22905381,0.268514,0.29584527,0.2974948,0.27324829,0.236252,0.20195533,0.17848231,0.16584384,0.16004004,0.15785189,0.15665002,0.15443037,0.14965065,0.14262249,0.13508187,0.12908523,0.12586851,0.12553461,0.12756705,0.13052289,0.13325024,0.13494383,0.13646485,0.13863051,0.14210106,0.14611597,0.15099698,0.15932398,0.17713676,0.20782502,0.24612117,0.2758591,0.2807074,0.25634766,0.21445666,0.17265737,0.14253718,0.12516384,0.115825765,0.10942083,0.103605926,0.09765125,0.09218189,0.08779097,0.08599567,0.09002939,0.10602506,0.13984491,0.19068821,0.24735558,0.29405794,0.32197776,0.3347951,0.34257817,0.35125375,0.3594027,0.36192977,0.35628465,0.34238586,0.3227017,0.29846606,0.27134702,0.24126615,0.20979732,0.17847753,0.1504037,0.12738873,0.11033218,0.098273806,0.08964325,0.08271872,0.07655609,0.07176447,0.07383446,0.093340926,0.14256357,0.2208399,0.31314814,0.39330766,0.4475843,0.47380733,0.4835905,0.48433366,0.482918,0.47872102,0.47032592,0.4540341,0.43183765,0.40974164,0.3972886,0.39920637,0.41338995,0.42679524,0.42336205,0.39204898,0.33766258,0.27673376,0.22785617,0.19935657,0.18842173,0.18603402,0.18495363,0.18205476,0.17779477,0.17293942,0.16760164,0.16079403,0.15180993,0.14110732,0.13085863,0.12385627,0.12109592,0.12094606,0.12032789,0.117781766,0.11393851,0.11032975,0.10713451,0.105926365,0.11313498,0.14220454,0.20218535,0.2851076,0.3607289,0.3949622,0.37255633,0.30692288,0.22757189,0.16045432,0.117648095,0.09768564,0.092224516,0.09183311,0.09015328,0.08503428,0.077246875,0.068685606,0.061147705,0.056126684,0.054524884,0.056495715,0.0614431,0.06863293,0.077382565,0.08695986,0.09615191,0.10408306,0.11086842,0.118810214,0.13142632,0.15313265,0.1853111,0.22470002,0.2622666,0.28989246,0.30389312,0.3066081,0.30034098,0.28715065,0.2685922,0.2489304,0.23142014,0.21794195,0.20760386,0.19955336,0.19276506,0.18652557,0.18063278,0.17521994,0.17114069,0.16789864,0.16489637,0.16093022,0.15654409,0.15259095,0.14991128,0.14798011,0.14576073,0.14274125,0.1397432,0.13909924,0.14379221,0.1549011,0.16940098,0.18014942,0.1810522,0.17129083,0.15619634,0.14200425,0.13204409,0.12573703,0.121602274,0.118744634,0.11728838,0.11698749,0.11710291,0.116672456,0.115552865,0.11456227,0.11460053,0.11568999,0.11670423,0.116653085,0.115480356,0.114408605,0.1145952,0.116219245,0.11765192,0.116587944,0.112218134,0.109689705,0.12099737,0.16053648,0.23081124,0.31555086,0.38478866,0.4164574,0.40822783,0.37473154,0.33284914,0.29337868,0.26150608,0.23888075,0.2246871,0.21574794,0.20931931,0.2044891,0.20150347,0.19991262,0.19808221,0.19468321,0.18911757,0.18181546,0.17344904,0.16549909,0.15949629,0.15604126,0.15420951,0.15260191,0.15105443,0.15076281,0.15337436,0.15993714,0.17026828,0.18241423,0.19230473,0.19575019,0.19145869,0.18276513,0.17518048,0.17201155,0.172279,0.17217635,0.16893886,0.16246651,0.15516897,0.1492906,0.14573388,0.1438026,0.14271872,0.14238955,0.14291944,0.1441143,0.14491405,0.1445821,0.14266975,0.1396528,0.13603137,0.13221915,0.12835772,0.12526134,0.12643272,0.13756534,0.16336435,0.19954075,0.23197949,0.24262589,0.22448798,0.18580548,0.1448572,0.11547103,0.10167435,0.0994488,0.10325283,0.10876886,0.11322371,0.115164764,0.114598095,0.11341026,0.11525046,0.12549405,0.1488555,0.18666036,0.2341541,0.2835201,0.3275262,0.3619353,0.38307598,0.38722476,0.37497208,0.35416868,0.33790544,0.33429882,0.3425915,0.35373947,0.35816383,0.34913802,0.32560173,0.29173222,0.25532314,0.22375129,0.19963433,0.18127175,0.16485131,0.14874543,0.13289455,0.11954931,0.113297015,0.1242561,0.16491784,0.24162571,0.34202102,0.43672323,0.49180007,0.49272797,0.44847834,0.38810778,0.33685544,0.30893612,0.3002859,0.30160153,0.30341184,0.30470732,0.31043175,0.32801744,0.35765162,0.38911724,0.40603188,0.40039924,0.37567666,0.34278515,0.30724576,0.27029285,0.2319036,0.19573808,0.16594456,0.14459674,0.13081342,0.122279465,0.116476476,0.112127595,0.10910431,0.1083051,0.10970784,0.11182804,0.11251887,0.11026504,0.10595775,0.10105743,0.097284146,0.09430194,0.091728956,0.090120524,0.094728895,0.11532877,0.16126119,0.22985329,0.3005326,0.34282908,0.33792987,0.29145417,0.22841811,0.17227401,0.13252567,0.10523505,0.083952494,0.065546,0.05050918,0.039959967,0.035255123,0.039056,0.055129398,0.08515251,0.12465894,0.1636163,0.19159319,0.20495553,0.20755275,0.20659953,0.20625627,0.20697124,0.20788509,0.20985107,0.21573299,0.22956173,0.25531757,0.2922751,0.33232868,0.3604356,0.36630252,0.35001,0.32319656,0.29675537,0.2763725,0.26104808,0.2486252,0.23740673,0.22605442,0.21433954,0.2037415,0.19733964,0.19704336,0.20094414,0.20534098,0.20710076,0.20618498,0.20344101,0.19893987,0.19244094,0.18450099,0.17776811,0.1744013,0.17467602,0.17620973,0.176273,0.17436646,0.17255081,0.17341667,0.17759798,0.18288763,0.18674177,0.18764697,0.18686171,0.18574591,0.1847334,0.18196483,0.17592742,0.16713496,0.15856487,0.15311462,0.151461,0.15178072,0.15172477,0.15039138,0.14894581,0.14962931,0.15459843,0.1648789,0.18004823,0.19792199,0.21549694,0.22982478,0.23886104,0.24175252,0.24150433,0.24732263,0.27415013,0.3304833,0.40859318,0.48090205,0.5194163,0.5110261,0.46692872,0.4091474,0.35893974,0.32661203,0.31245735,0.30976582,0.31048337,0.30943254,0.30518368,0.29849783,0.2897489,0.2788831,0.2656754,0.25119707,0.23761265,0.22788155,0.22310741,0.22134203,0.21804976,0.2104379,0.199229,0.18795282,0.17889659,0.17349453,0.1737262,0.18260168,0.19902034,0.21524958,0.22046554,0.20996761,0.18827935,0.16519208,0.14721912,0.13554934,0.12794197,0.12301425,0.12018632,0.11880138,0.11709493,0.11371672,0.108848445,0.1043435,0.102162145,0.10300637,0.106083594,0.10980728,0.1129253,0.11477432,0.11517597,0.11394546,0.110934466,0.10636982,0.10135194,0.09914002,0.10503971,0.12466431,0.15679835,0.19095701,0.21000196,0.20410831,0.17695695,0.144127,0.11951188,0.10783871,0.10462474,0.103043325,0.0993608,0.09353479,0.08751485,0.08265433,0.07947715,0.07826357,0.08059079,0.090800546,0.11482429,0.15739493,0.21549444,0.2788333,0.33272898,0.36830947,0.3838748,0.3850231,0.37782896,0.36720002,0.35431525,0.33888415,0.31999305,0.29810685,0.27374238,0.24744995,0.22028303,0.19423185,0.17138366,0.15144832,0.13360792,0.11744239,0.104901075,0.09627262,0.08982185,0.08476884,0.08866757,0.11875383,0.18640602,0.28335977,0.37544593,0.43171677,0.4425721,0.42952833,0.4160359,0.4137446,0.4169083,0.4184196,0.41439545,0.40437698,0.38895488,0.37376174,0.37114254,0.39508894,0.4461825,0.5053031,0.5380207,0.5192824,0.446763,0.3441237,0.2410687,0.16027199,0.10861949,0.08246314,0.072613604,0.07034341,0.06954986,0.067560814,0.06412094,0.06023651,0.05695876,0.054374155,0.05139793,0.04659843,0.039686505,0.03212129,0.025959363,0.02248352,0.021354543,0.02145846,0.02209723,0.025756545,0.04031465,0.077212386,0.14158094,0.22135086,0.28798747,0.31253394,0.28586173,0.22220892,0.14870204,0.08658316,0.045518976,0.02339547,0.014525189,0.012741886,0.01462943,0.01865471,0.024976427,0.034047503,0.045602635,0.05743846,0.065976806,0.067993104,0.06296887,0.053328816,0.04275531,0.034010377,0.028137306,0.025427276,0.025925087,0.03147898,0.04655871,0.079656385,0.13476188,0.20452128,0.266125,0.29762104,0.29182816,0.26254353,0.22951604,0.20518269,0.19040222,0.18079041,0.17330854,0.16662359,0.16106153,0.15630578,0.15271597,0.14982677,0.1477275,0.14591162,0.14464177,0.14382009,0.14368074,0.14368378,0.1434716,0.14293884,0.14281417,0.14396171,0.14644144,0.15008813,0.1561295,0.16897094,0.19357221,0.22894199,0.26449388,0.28424862,0.2795922,0.25503802,0.2254638,0.20353638,0.19420028,0.1938426,0.19616611,0.19572937,0.19093455,0.1836799,0.17723672,0.17384632,0.17355019,0.17535938,0.17752862,0.1784234,0.17630185,0.1712629,0.16543768,0.1625935,0.16505675,0.17204742,0.18007064,0.1855285,0.18834102,0.19349742,0.21105374,0.24860013,0.30367717,0.35729238,0.38552943,0.3739504,0.33195445,0.28272435,0.24951781,0.24006398,0.24981876,0.26778707,0.28564426,0.29940107,0.3090146,0.3153682,0.31810856,0.3164152,0.30989197,0.29971313,0.28692374,0.2730794,0.26004374,0.25067985,0.24630499,0.24626929,0.24826793,0.25089076,0.25363323,0.25637352,0.25908566,0.26277983,0.2688782,0.27656066,0.2814635,0.27848932,0.26626086,0.24853289,0.23140709,0.21941335,0.21361083,0.21186908,0.21069425,0.20761432,0.20253505,0.1976886,0.19503923,0.19435324,0.19264446,0.18697566,0.17714216,0.16603287,0.15685248,0.1506752,0.14682043,0.14494012,0.14572304,0.14905003,0.15291514,0.15573277,0.16040255,0.17442004,0.20163715,0.23479521,0.25602198,0.25186598,0.22412062,0.18964197,0.16466601,0.15430921,0.15218373,0.1504882,0.14684062,0.14433151,0.14667416,0.15653671,0.17732066,0.21475716,0.2692652,0.32950166,0.37232757,0.37838277,0.34374234,0.28174797,0.21276665,0.1534424,0.1126655,0.08984084,0.07935589,0.073799856,0.070883475,0.07419389,0.09126085,0.12355274,0.16144586,0.18550895,0.18179195,0.15080138,0.10809869,0.06989199,0.044704605,0.03112983,0.024592943,0.0212173,0.022795975,0.038153518,0.08535596,0.17612083,0.30364442,0.4279016,0.50399584,0.5059008,0.45505476,0.39261433,0.35479203,0.34494984,0.35013056,0.3554449,0.3581865,0.3584559,0.35523304,0.34312472,0.3202243,0.28814426,0.25331688,0.221321,0.19577272,0.17552507,0.15736975,0.13870516,0.12014308,0.10400402,0.09169582,0.08256734,0.07506493,0.068091005,0.061247557,0.054446746,0.047759563,0.041553434,0.03630771,0.03247795,0.03011506,0.028884234,0.027952923,0.026458979,0.024041852,0.021076595,0.018346801,0.016259253,0.014728278,0.013323856,0.011883065,0.010508482,0.009461907,0.008775632,0.008353066,0.00811338,0.008336618,0.009258139,0.010858248,0.0124398805,0.013381605,0.013365042,0.0128307445,0.012264858,0.012082898,0.012312352,0.012935883,0.013850226,0.014918539,0.015881114,0.016450705,0.016449096,0.015905628,0.015059779,0.014261535,0.013831187,0.01388995,0.014228397,0.01443851,0.016058251,0.024558015,0.049589932,0.09568224,0.1540631,0.20064151,0.213534,0.18825506,0.14207013,0.09754064,0.06801258,0.053125944,0.04620382,0.041408997,0.036366817,0.03124237,0.027075531,0.024478676,0.023146087,0.022059085,0.020468216,0.01836096,0.016333852,0.014782631,0.01357593,0.012286157,0.010762554,0.009196327,0.007877001,0.0068369214,0.006232299,0.008398297,0.019303821,0.04758579,0.09502876,0.15029773,0.18918574,0.1930715,0.16100171,0.11185268,0.06669828,0.037165962,0.022164082,0.015890839,0.013322002,0.01200009,0.011025638,0.010228124,0.010043912,0.011269126,0.014744018,0.02099318,0.029943528,0.04074556,0.051805746,0.06097283,0.06684352,0.06934967,0.0706178,0.07310101,0.078611486,0.08693606,0.09920707,0.12097907,0.16287275,0.23090422,0.31657216,0.39626017,0.44706523,0.46226993,0.45204118,0.43044606,0.4048259,0.37697825,0.3488321,0.3239483,0.3056998,0.29473245,0.28954545,0.28567252,0.2782396,0.26470217,0.24777186,0.2331364,0.22465767,0.22146739,0.21922432,0.21442674,0.2068504,0.19910444,0.19350392,0.18992658,0.18695009,0.1849031,0.18769874,0.19890438,0.2171353,0.2345599,0.24373491,0.24288647,0.23655741,0.22898142,0.22149353,0.21319072,0.20468944,0.19700544,0.19039066,0.18312164,0.1741729,0.16397633,0.15460373,0.14768915,0.14411853,0.14396648,0.1468582,0.15159197,0.15582766,0.15713036,0.15430798,0.14876737,0.14369737,0.14242536,0.14744578,0.16118233,0.18725307,0.2266566,0.27268443,0.30888602,0.31884232,0.2978097,0.25685146,0.21339746,0.17947568,0.1573056,0.14328574,0.13342005,0.12549965,0.11874514,0.11285802,0.10776624,0.1040954,0.10539461,0.11877444,0.15191372,0.2045507,0.26499343,0.3152214,0.34529176,0.35817352,0.36476573,0.37033355,0.37309515,0.36810103,0.35649374,0.34344706,0.33660403,0.33710194,0.34006703,0.33294985,0.30729374,0.2629278,0.21176942,0.16791575,0.14151694,0.13369955,0.13884349,0.14745533,0.15163098,0.14912152,0.14645706,0.15573005,0.1888548,0.24658,0.31768537,0.3810397,0.42225876,0.4355032,0.42888388,0.41135988,0.39398515,0.38108787,0.3747646,0.3720393,0.3704786,0.3686867,0.36705494,0.365541,0.36096844,0.34829712,0.3230505,0.28667107,0.24588726,0.20907371,0.17976762,0.1562618,0.13490397,0.11499136,0.09847485,0.08746003,0.08119633,0.07705584,0.0727269,0.067985564,0.06408689,0.062058542,0.0618145,0.06235217,0.062874295,0.06395999,0.067562275,0.0758966,0.08886958,0.10363001,0.11545667,0.12215048,0.12701924,0.14035197,0.17282672,0.22550578,0.2832495,0.32084498,0.31979606,0.27990785,0.21928401,0.16037309,0.11837661,0.095722534,0.08671158,0.08420137,0.08383479,0.084202945,0.08472919,0.08505512,0.085208826,0.08603031,0.08865567,0.09362376,0.10046635,0.107892655,0.11468055,0.12025084,0.12473991,0.12846558,0.13154466,0.13483912,0.1416294,0.15843172,0.1903956,0.23506884,0.27967736,0.30945063,0.3166699,0.30479455,0.2813529,0.2537527,0.2263663,0.20305504,0.1854421,0.17397034,0.1676123,0.16531031,0.165038,0.16457039,0.1622657,0.15853678,0.15464835,0.15178294,0.1497646,0.14814274,0.14664753,0.1458049,0.14590399,0.14668882,0.14734495,0.14746715,0.1475174,0.14856106,0.15158625,0.15623194,0.16070305,0.1622081,0.15949452,0.15369345,0.14793546,0.14429466,0.14283077,0.1418339,0.1404873,0.13897751,0.13847281,0.13889462,0.13944697,0.13878702,0.13674338,0.13416876,0.13222684,0.13154869,0.13162287,0.13175553,0.13119791,0.13007964,0.12905824,0.1294084,0.13203543,0.13630448,0.14016229,0.14399894,0.1554275,0.18839991,0.2501041,0.32954195,0.3991438,0.4360039,0.43735865,0.41879764,0.39717433,0.37948954,0.3646504,0.3496345,0.33320436,0.31494418,0.29565755,0.27741435,0.26251075,0.25113764,0.24039434,0.2273937,0.2119844,0.19750392,0.18705465,0.18091168,0.17658168,0.17141722,0.16486846,0.15792495,0.15198493,0.14798276,0.14762329,0.15389423,0.16874595,0.18926221,0.20658678,0.21137834,0.20111091,0.18221796,0.16455667,0.15382029,0.1492879,0.1469569,0.14386575,0.13916092,0.13324036,0.12677662,0.12105474,0.11756352,0.11739508,0.12047831,0.12626646,0.13422553,0.1434272,0.15196566,0.15731592,0.15850611,0.15696661,0.15538591,0.15484624,0.1545074,0.15526606,0.1629268,0.18596494,0.2250585,0.26747397,0.29136452,0.28349885,0.24864046,0.20683527,0.17647697,0.16426884,0.16450565,0.16765451,0.16720277,0.16206194,0.15491365,0.14881569,0.14536212,0.14519154,0.15029459,0.16490668,0.19273049,0.23386793,0.28316852,0.33317098,0.37478969,0.3999413,0.4030223,0.38774386,0.36596766,0.35203364,0.34985375,0.3517207,0.34380588,0.31952524,0.28218833,0.24272615,0.20993721,0.18779929,0.17461836,0.16694148,0.16072409,0.15300839,0.1425684,0.12999183,0.11750922,0.109665185,0.11525684,0.1462027,0.20996535,0.29998174,0.3937591,0.462315,0.48728892,0.4687109,0.42499295,0.37751877,0.34161052,0.3188881,0.30489025,0.29421785,0.28678784,0.28666535,0.29980242,0.32636297,0.35741928,0.3767896,0.37456146,0.3513925,0.31712642,0.27895728,0.24074566,0.20397754,0.17158468,0.14582849,0.12721033,0.11502957,0.10843414,0.10700094,0.109649725,0.11458665,0.119661205,0.12337908,0.12556879,0.12650502,0.12671424,0.12626874,0.12591809,0.12632243,0.12788293,0.12956308,0.13083388,0.1348619,0.15112971,0.19033675,0.25262094,0.31959605,0.36174402,0.35903212,0.3144793,0.25008234,0.18913049,0.1444533,0.11750293,0.104645826,0.10132358,0.10345113,0.10728831,0.11047233,0.11278073,0.11655062,0.124029376,0.13523813,0.14676589,0.1553444,0.16032688,0.16478312,0.17180942,0.18229367,0.19437726,0.20584895,0.21640466,0.22852783,0.2475634,0.27883875,0.32215467,0.3669951,0.39473256,0.3912643,0.35714427,0.3083875,0.26309803,0.23168184,0.21413451,0.20665301,0.20530815,0.20793144,0.21274595,0.21974568,0.2281992,0.2374124,0.24309285,0.24264334,0.23499991,0.22500022,0.21791579,0.21711649,0.22147049,0.2275629,0.23320659,0.23713417,0.2390667,0.23895328,0.23907347,0.24438901,0.25871584,0.2799221,0.29848453,0.3029826,0.288949,0.26098233,0.23025028,0.2054679,0.19060184,0.18379623,0.18158035,0.18061425,0.17928988,0.17768164,0.17645226,0.17597008,0.17536803,0.17355889,0.17012729,0.16597153,0.16216795,0.15899618,0.15574668,0.15154563,0.14578153,0.13787083,0.12728092,0.11465544,0.103773594,0.10276577,0.122156,0.16878898,0.23770882,0.31063914,0.3633299,0.3809462,0.36511186,0.3314421,0.29586586,0.26685235,0.24488848,0.22861715,0.21791834,0.21119992,0.2039367,0.19061798,0.17050998,0.1483223,0.13090405,0.122273356,0.12209698,0.1268062,0.1319962,0.13486189,0.13518482,0.13466932,0.13446279,0.13386057,0.13120897,0.12652121,0.1228183,0.124112375,0.13161825,0.14226826,0.15095788,0.15517776,0.15566812,0.15502842,0.15414323,0.15285327,0.1502908,0.14645414,0.1412031,0.13485521,0.1280802,0.122288525,0.1185835,0.117208324,0.11780391,0.119838275,0.12291954,0.12627159,0.12921773,0.1313166,0.13252348,0.13268477,0.13167988,0.13009459,0.12946594,0.13289724,0.14433217,0.1680441,0.2031553,0.24190883,0.26946416,0.27516496,0.2580555,0.22957432,0.20297013,0.1865568,0.17926092,0.17513013,0.16807878,0.15568657,0.13916738,0.12146322,0.105420895,0.09332839,0.08741579,0.091493666,0.11028255,0.14766204,0.20098436,0.26039588,0.311426,0.34376276,0.3555334,0.3529655,0.34516263,0.33808586,0.33286536,0.3260623,0.3151658,0.2992911,0.27988973,0.25722027,0.23235469,0.20689498,0.18360674,0.16293412,0.14431797,0.12730901,0.11387291,0.105160326,0.10043016,0.09962509,0.109647326,0.14625482,0.21940438,0.3203484,0.41472661,0.47014853,0.47473446,0.44916868,0.42046776,0.40702617,0.40780222,0.41433465,0.4167815,0.41050854,0.39713493,0.38670313,0.39443025,0.43238726,0.49523962,0.55778545,0.5842739,0.55463773,0.47414914,0.37098777,0.2735396,0.1995452,0.15144154,0.12411518,0.109901465,0.10239331,0.09688339,0.090626694,0.0831446,0.07591713,0.07109798,0.069844134,0.07185624,0.076040156,0.081509255,0.08761863,0.09363512,0.0985977,0.102083534,0.10432052,0.10645908,0.112192325,0.13013522,0.17217779,0.24195194,0.32436165,0.38707754,0.401559,0.36226603,0.28849614,0.20802028,0.13996285,0.09097404,0.05914068,0.04042758,0.030598795,0.026312448,0.025061741,0.025076197,0.025234878,0.024980849,0.02480595,0.02651007,0.033276357,0.04806876,0.07165156,0.10059903,0.12914135,0.15209699,0.16833825,0.17965503,0.19000907,0.20360513,0.22614525,0.2592493,0.29806876,0.32830152,0.3380706,0.32420084,0.29675114,0.2678088,0.24527495,0.22894813,0.21548581,0.20196222,0.18823397,0.17635417,0.1682588,0.16391511,0.16102849,0.15758257,0.15342224,0.15042149,0.15014331,0.15275717,0.15668081,0.1600026,0.16155589,0.16192095,0.1629185,0.16620451,0.17173834,0.17793913,0.18342014,0.1883489,0.19394124,0.2002811,0.20569997,0.20791465,0.20661594,0.20357089,0.20152979,0.20179631,0.2039218,0.20595904,0.20610957,0.20366108,0.19947352,0.19528788,0.19228704,0.19033046,0.18777364,0.18289916,0.17459852,0.16314478,0.14951643,0.13537662,0.12249864,0.112285286,0.105002366,0.09965951,0.09544448,0.09361943,0.100218534,0.12459099,0.1739708,0.24219029,0.3090047,0.3490292,0.35240778,0.32835755,0.29811886,0.27587926,0.2651142,0.2607638,0.25865844,0.25668213,0.25503233,0.25313005,0.2506676,0.24678369,0.2419113,0.2360273,0.22990243,0.22310191,0.2158372,0.20810056,0.20144075,0.19697852,0.1951332,0.19456887,0.19365545,0.19167121,0.1901747,0.19359113,0.20751084,0.23318665,0.26292744,0.28163555,0.27804896,0.25316682,0.21997756,0.19229324,0.17667688,0.17134355,0.171197,0.171915,0.17121561,0.16878615,0.16559194,0.1629871,0.16183458,0.16208951,0.16356847,0.16587535,0.16866177,0.17128015,0.17346573,0.17525877,0.17656331,0.17720628,0.17718416,0.17739289,0.17960374,0.18723285,0.20539074,0.23615788,0.27339292,0.30080032,0.30345735,0.27809128,0.23704667,0.19648379,0.16717453,0.15060733,0.14473705,0.14633493,0.15186788,0.1564125,0.15873006,0.16372208,0.1819296,0.21599893,0.2570287,0.28476393,0.28756332,0.26580295,0.23413436,0.20556307,0.18851316,0.18268065,0.18422724,0.18811859,0.19115953,0.19337098,0.19644342,0.20289354,0.21248585,0.22219242,0.22590761,0.22002171,0.20585449,0.1903485,0.17995822,0.17713003,0.17929046,0.18269205,0.18476452,0.1875795,0.19759335,0.2275059,0.2843785,0.36559036,0.4459132,0.49795166,0.5000517,0.46242586,0.4093056,0.37021318,0.35284793,0.3520484,0.35572073,0.35980782,0.36213398,0.36062765,0.34952304,0.32715443,0.29581332,0.26285404,0.23394985,0.21241795,0.19744867,0.18772213,0.18257816,0.18198115,0.18449725,0.18648171,0.18453448,0.17750703,0.1672018,0.15584804,0.1441599,0.13115424,0.11606532,0.10018555,0.08648952,0.07765687,0.07400132,0.073388495,0.072897114,0.070590876,0.066147536,0.060340047,0.05463047,0.051169705,0.05220693,0.059057634,0.070768744,0.08486247,0.09838224,0.10965806,0.118016414,0.123764284,0.12691121,0.12709628,0.12329549,0.11505722,0.10324436,0.08995897,0.07753646,0.06711387,0.059008542,0.052655727,0.047798723,0.043849196,0.040582296,0.03805914,0.03705943,0.0385986,0.042521466,0.047595803,0.051609278,0.05367035,0.054050226,0.05426765,0.056655034,0.06585457,0.089181006,0.13065416,0.18326746,0.22684495,0.24070287,0.21932207,0.1766516,0.13407464,0.10461122,0.08864972,0.079698704,0.07241288,0.064896055,0.057373833,0.05097108,0.047065675,0.04724833,0.051748414,0.058632936,0.064423926,0.066826336,0.06756986,0.071605176,0.08391694,0.104831,0.13012533,0.15331233,0.17021172,0.17976832,0.18412787,0.1866386,0.19112675,0.19885056,0.20747222,0.21119587,0.20606816,0.19246058,0.17530955,0.1591934,0.14642435,0.13628991,0.12739487,0.1180352,0.10730547,0.09490595,0.08183824,0.069919236,0.061415415,0.058281615,0.061217815,0.06919942,0.07929122,0.088098474,0.09283,0.092062384,0.08552901,0.07433792,0.061410695,0.050654437,0.046237063,0.053652626,0.0831757,0.147349,0.24895163,0.36641154,0.4586664,0.4893744,0.45518413,0.38465345,0.31781495,0.2794702,0.27412578,0.28980005,0.308834,0.31560513,0.3037219,0.27740347,0.24554606,0.21559161,0.19050638,0.17143442,0.15862583,0.15195227,0.14993288,0.1507168,0.15272725,0.1550527,0.15706028,0.15793218,0.15709907,0.15553123,0.15654717,0.16517429,0.18334146,0.20719905,0.22671567,0.23341864,0.22535549,0.20861219,0.19117837,0.1782323,0.17076509,0.16785187,0.16835459,0.17116214,0.17401326,0.1742617,0.16962512,0.16064523,0.14999692,0.14173953,0.13820893,0.13947852,0.14335935,0.14789014,0.1521305,0.15639316,0.16055022,0.16405983,0.16606958,0.16767167,0.17202349,0.18450445,0.20722938,0.2352498,0.25544465,0.25564423,0.23383433,0.20000291,0.16784972,0.1450376,0.13139914,0.12272796,0.11548508,0.10817391,0.100611545,0.09349814,0.08750213,0.08406458,0.08619424,0.09971455,0.13008259,0.17703088,0.23068984,0.27718446,0.30800664,0.3253431,0.335932,0.34295538,0.3443763,0.33838066,0.32750157,0.316424,0.30825838,0.30188695,0.293143,0.276256,0.24827628,0.21121477,0.17231424,0.13884626,0.11465672,0.0990197,0.08923373,0.082576275,0.07721148,0.072795324,0.07298399,0.08646358,0.1249845,0.19189183,0.2776115,0.35859492,0.41574928,0.44059518,0.44253182,0.43448472,0.42849758,0.42644295,0.42532995,0.42021775,0.4107646,0.40068397,0.39572763,0.39880636,0.4066088,0.40876737,0.39299926,0.35472533,0.30122593,0.2475049,0.20478188,0.17626895,0.15863447,0.14845748,0.14326467,0.14163208,0.1419663,0.14388593,0.14746179,0.15173642,0.15331109,0.14898105,0.13914745,0.12824951,0.12043906,0.11624058,0.11352583,0.11111163,0.109766155,0.10994691,0.11036038,0.110631,0.11559058,0.13673343,0.18276577,0.24912114,0.3112742,0.34063387,0.32213637,0.2675402,0.20210819,0.14885642,0.11578975,0.10005806,0.09420224,0.091867365,0.08892699,0.083626546,0.07611855,0.06767747,0.06002746,0.054866362,0.05341734,0.055965256,0.06183364,0.06975541,0.07846826,0.08673915,0.09356624,0.09868873,0.10307443,0.10941251,0.12159767,0.14483327,0.18216515,0.23094915,0.2798899,0.3151776,0.3281258,0.32059023,0.30042103,0.27657545,0.25470808,0.23792855,0.2260832,0.21785904,0.21135883,0.20585537,0.200783,0.19553475,0.19000709,0.18477131,0.18172109,0.18118684,0.18258767,0.18308063,0.18176918,0.17873894,0.17627782,0.17478026,0.17385519,0.17165025,0.16817395,0.16433114,0.16226767,0.16244881,0.16394465,0.16418482,0.16184491,0.15716825,0.15212853,0.14791735,0.14453715,0.14087133,0.1364067,0.13171753,0.12801248,0.12607868,0.12537833,0.124852635,0.123579115,0.12190479,0.120517395,0.119918376,0.119606644,0.11876315,0.11695799,0.11462153,0.11288016,0.11232079,0.11234274,0.11096359,0.10726339,0.105344914,0.11616393,0.15406032,0.22302051,0.30942354,0.38350666,0.42070523,0.4136413,0.37550402,0.32570055,0.28068417,0.24790823,0.22734354,0.21481885,0.20643799,0.20112713,0.19886683,0.19894443,0.19896764,0.19730099,0.19320007,0.18717839,0.1791005,0.16940124,0.15909521,0.15049046,0.14497335,0.14236642,0.14118594,0.14072679,0.14205882,0.14750849,0.15929987,0.17738183,0.19825308,0.21508358,0.22174023,0.21683447,0.20523156,0.19380493,0.18713324,0.18535529,0.1863447,0.1870742,0.1854703,0.18076439,0.17426513,0.16784467,0.16273612,0.15916131,0.15720193,0.15708728,0.1586168,0.1606733,0.16167821,0.1603391,0.15651494,0.15099704,0.14503235,0.13967867,0.13628964,0.13827181,0.15101574,0.17910653,0.21853556,0.25488254,0.2686828,0.25079054,0.20857798,0.16129754,0.1250417,0.10515631,0.09789767,0.09731241,0.099544264,0.10248664,0.1051245,0.10673342,0.108013235,0.111696444,0.12232262,0.14480586,0.18045388,0.22646666,0.27490386,0.31816387,0.34875914,0.36305198,0.35951397,0.34315526,0.32352176,0.31214955,0.31489858,0.32961977,0.34742692,0.3575987,0.35180703,0.32754377,0.2898446,0.24868996,0.21365899,0.18849681,0.17128532,0.1577067,0.14478819,0.13153802,0.11905543,0.11282236,0.12475574,0.1708314,0.25846192,0.37474146,0.4863931,0.5565543,0.5676863,0.5274585,0.4640762,0.40401033,0.36487028,0.34654424,0.34211305,0.3412055,0.34048864,0.34376505,0.36045015,0.39431727,0.43630958,0.46652594,0.4694849,0.44304493,0.39731786,0.3430793,0.2879515,0.23665905,0.1936316,0.16129883,0.13932706,0.12533076,0.11688907,0.11184528,0.10898117,0.107397534,0.107150376,0.10770551,0.10810705,0.10680521,0.103084005,0.09786109,0.092842095,0.08950841,0.08721251,0.08445383,0.0803942,0.07926836,0.09105643,0.12792873,0.19176471,0.26648858,0.32235405,0.3361577,0.30653632,0.2522157,0.19601937,0.15061806,0.11788305,0.09399953,0.07576216,0.06123573,0.0500107,0.0430211,0.04312564,0.054358214,0.078946464,0.11400511,0.15115638,0.1812561,0.2002623,0.21180445,0.22226632,0.23569782,0.25052276,0.2642783,0.27572992,0.28772685,0.30358806,0.3271493,0.35722122,0.3874283,0.40492073,0.40163374,0.37844777,0.3481268,0.32211074,0.30595076,0.29560432,0.28604332,0.2736306,0.2585064,0.24206132,0.2269194,0.21554042,0.20944856,0.20722662,0.20635174,0.20495729,0.20370108,0.2036074,0.20372657,0.20181622,0.19679159,0.19089036,0.18750834,0.18775357,0.19054832,0.19503869,0.20473923,0.22384429,0.25150704,0.27797914,0.29018262,0.28245592,0.2599155,0.23471384,0.21561088,0.20478876,0.19849229,0.19208,0.18307747,0.17203031,0.16149431,0.15376943,0.14941029,0.14721172,0.14521752,0.14300156,0.14193459,0.14496845,0.1541398,0.16960676,0.18942066,0.21066262,0.2301522,0.24422437,0.24978118,0.24769656,0.24652703,0.2613196,0.30244622,0.36563906,0.4295645,0.47046292,0.47503033,0.44750714,0.40258625,0.3578219,0.3252003,0.30769584,0.29951587,0.29301396,0.28542992,0.28024486,0.28076687,0.28440067,0.28337455,0.2720383,0.252505,0.23319153,0.22215931,0.22136505,0.22651124,0.23063211,0.22887422,0.22051759,0.20829876,0.19561929,0.1856802,0.18214267,0.1890958,0.20646842,0.22688127,0.23767573,0.23094137,0.20877697,0.18209921,0.16098185,0.1497453,0.14598332,0.14538103,0.14440314,0.14193393,0.13810529,0.13372694,0.12927563,0.12529857,0.12222227,0.120824814,0.121344544,0.12346057,0.12601298,0.12808369,0.12888944,0.12792291,0.124443136,0.11829299,0.110271,0.10393714,0.105534256,0.12300237,0.15739496,0.19851024,0.2256028,0.22385482,0.19433694,0.15428418,0.12132401,0.102857135,0.09525433,0.09162852,0.087970875,0.08370953,0.07972354,0.076328285,0.073359154,0.07095188,0.07094818,0.07741181,0.09659276,0.13330221,0.18707097,0.2485838,0.30420604,0.34167698,0.35769176,0.35651278,0.3474574,0.33753228,0.3294014,0.32072863,0.3085275,0.29136145,0.26987708,0.24525519,0.21923639,0.19387466,0.17117192,0.15111794,0.13333006,0.11777681,0.10633135,0.09886712,0.09309717,0.087539345,0.08883474,0.113676704,0.17441374,0.26584175,0.35666242,0.41657746,0.4336872,0.42725536,0.41946754,0.42140687,0.4265854,0.42829022,0.42554745,0.42076507,0.41512373,0.41117552,0.41825065,0.44807652,0.50121504,0.55803704,0.58532125,0.55857354,0.47780272,0.36731538,0.25839445,0.17345138,0.119435675,0.09148431,0.08010402,0.07641828,0.07459173,0.07163016,0.06685794,0.061210316,0.056272257,0.052762803,0.04995775,0.046196293,0.040716052,0.034209218,0.028407345,0.024477517,0.022522839,0.02170901,0.021770643,0.02611354,0.044509526,0.09064898,0.16910315,0.2634704,0.3380541,0.36027133,0.32272497,0.2458903,0.16167772,0.09297043,0.04830669,0.024288276,0.014455256,0.01235839,0.01428903,0.018441552,0.024679521,0.03343926,0.04452313,0.055848118,0.06383198,0.065328725,0.060135156,0.050904583,0.041287705,0.033557985,0.02836668,0.025869116,0.026275543,0.031193515,0.044074435,0.07202744,0.11930704,0.18165906,0.24112315,0.27832708,0.28402612,0.26680407,0.24222945,0.22233577,0.20985532,0.20241266,0.19709708,0.19220209,0.18754606,0.18343927,0.18075739,0.17936523,0.17860506,0.17733453,0.17562592,0.17422555,0.1740349,0.17463247,0.17467369,0.17318982,0.17053448,0.16853409,0.16833891,0.1702718,0.17377518,0.17992455,0.19073324,0.20676208,0.22407031,0.23515637,0.23462494,0.22321327,0.20783365,0.19586223,0.19119532,0.19227655,0.19462942,0.19344054,0.18721658,0.17791905,0.16967362,0.16522968,0.1648462,0.16670571,0.16847456,0.16849037,0.16601537,0.16186662,0.15812044,0.15758151,0.16183561,0.17019577,0.17990035,0.18815619,0.19466464,0.20404017,0.22627182,0.2712337,0.3381941,0.40804878,0.45122662,0.4470642,0.400439,0.33684418,0.2850592,0.2589283,0.25635764,0.26523083,0.27511585,0.28054583,0.28247318,0.28315413,0.28416127,0.2847452,0.2832639,0.27802765,0.26802185,0.25461236,0.24117179,0.2325747,0.2314626,0.23805107,0.2495755,0.2629337,0.27482018,0.28348532,0.28878465,0.2924535,0.2956278,0.2968876,0.29262826,0.28053522,0.2630029,0.24583723,0.23460644,0.2302373,0.22997475,0.22918858,0.2251005,0.21721087,0.20784491,0.19993608,0.19511074,0.19194923,0.18754925,0.1802149,0.1712876,0.16350906,0.15853347,0.15544374,0.15240097,0.14862853,0.14547698,0.14460905,0.14626557,0.1497755,0.15684791,0.17337607,0.20372562,0.2429012,0.27368364,0.27852473,0.25290102,0.21021254,0.17021422,0.14557141,0.13616155,0.13458224,0.13398904,0.13206269,0.12986964,0.13067007,0.13975821,0.16400754,0.20570607,0.25659,0.2987988,0.3151449,0.2999747,0.25954974,0.20749609,0.15652473,0.11665234,0.09123225,0.07840102,0.072504096,0.070744015,0.075947426,0.09566784,0.13247116,0.17716251,0.20874949,0.21002047,0.17903721,0.13153988,0.0863102,0.054563966,0.036358636,0.027114747,0.022336692,0.022902712,0.03671558,0.08093761,0.16769941,0.29288614,0.42177883,0.51307696,0.5385066,0.5105535,0.46081603,0.4226415,0.4034092,0.3976092,0.39429453,0.39193878,0.38885275,0.382719,0.3669279,0.33946237,0.30221403,0.2623031,0.22613566,0.198756,0.1801973,0.16717756,0.15453042,0.13951422,0.12278044,0.1068606,0.09348733,0.08226148,0.072083384,0.06243388,0.05401491,0.04756403,0.04308216,0.039748203,0.036814544,0.034058113,0.031588968,0.029237598,0.02656313,0.023362065,0.020012975,0.017184919,0.015155736,0.013708445,0.0123911025,0.011059783,0.009827611,0.008943599,0.008410261,0.008128443,0.007973171,0.008176195,0.008971434,0.010414608,0.0119436765,0.012969526,0.013134302,0.012750511,0.012253991,0.012062997,0.012262255,0.01286538,0.013767547,0.014826016,0.015789462,0.016394027,0.016467208,0.01601086,0.015218685,0.014404434,0.013895252,0.013862114,0.014166817,0.014382623,0.01551225,0.021679565,0.040683094,0.07659706,0.12297926,0.16045399,0.17079408,0.14971823,0.11148527,0.07541833,0.053182255,0.04423899,0.04211377,0.041232783,0.039325807,0.03655614,0.03360403,0.031053605,0.028933858,0.026992463,0.02478495,0.022233577,0.019588353,0.017250758,0.015274055,0.013447191,0.011584137,0.009752319,0.008151389,0.006854885,0.005928641,0.006743785,0.012992647,0.030552037,0.061514515,0.09984976,0.13018708,0.13902514,0.123021536,0.092380315,0.06065147,0.036958802,0.022393016,0.0143019045,0.009742751,0.007147047,0.0057440917,0.0050108116,0.0044936812,0.0039028258,0.0032164694,0.0026114366,0.002293433,0.002309276,0.002515937,0.0026993256,0.0027552936,0.0028331478,0.0032316437,0.004189028,0.005559312,0.0068468763,0.0074229077,0.0070134546,0.005805418,0.00433754,0.0030629404,0.002181203,0.0016235769,0.0012594791,0.0009904645,0.00078417436,0.00063129904,0.00052787835,0.0004623289,0.000420013,0.0003829409,0.00034284254,0.00030046576,0.00026443755,0.00023860253,0.0002199369,0.00020220778,0.00018185248,0.00016005705,0.00013905524,0.00012011038,0.00010307154,8.761281E-05,7.432658E-05,6.412387E-05,5.7475194E-05,5.3639113E-05,5.0780345E-05,4.7481295E-05,4.3354852E-05,3.924216E-05,3.5953486E-05,3.3628177E-05,3.165148E-05,2.9353812E-05,2.6552982E-05,2.3780556E-05,2.1761824E-05,2.0818394E-05,2.0587127E-05,2.01139E-05,1.8690365E-05,1.59216E-05,1.23248055E-05,8.576799E-06,5.572621E-06,3.5918322E-06,2.6070154E-06,2.2096322E-06,2.101108E-06,2.0925656E-06,2.1606459E-06,2.298924E-06,2.4728067E-06,2.600811E-06,2.62028E-06,2.5341026E-06,2.4105345E-06,2.3136165E-06,2.241508E-06,2.150733E-06,2.029955E-06,1.9467032E-06,1.9814213E-06,2.1293806E-06,2.2779477E-06,2.3056934E-06,2.1918456E-06,2.0245132E-06,1.886986E-06,1.7911892E-06,1.6930317E-06,1.5979382E-06,1.5536808E-06,1.6060584E-06,1.7263618E-06,1.8646145E-06,1.9928905E-06,2.1228027E-06,2.2545903E-06,2.3552236E-06,2.3867258E-06,2.3264467E-06,2.1831092E-06,1.9737665E-06,1.7413726E-06,1.548614E-06,1.4639036E-06,1.5047361E-06,1.6071216E-06,1.6644782E-06,1.62595E-06,1.5511472E-06,1.5607578E-06,1.7024264E-06,1.9112765E-06,2.0618816E-06,2.1090164E-06,2.0998468E-06,2.1279966E-06,2.212595E-06,2.3032846E-06,2.3151488E-06,2.2353254E-06,2.1102007E-06,2.0130174E-06,1.9496213E-06,1.8737495E-06,1.7467067E-06,1.5956376E-06,1.4915782E-06,1.4597485E-06,1.472311E-06,1.4813926E-06,1.4821919E-06]