[0.0066951863,0.0072643613,0.008653566,0.01075483,0.013326476,0.016017048,0.018483005,0.020556068,0.02230264,0.02383863,0.025085123,0.025717663,0.025402239,0.024075633,0.021924218,0.01919897,0.01611305,0.013098511,0.011584505,0.014159545,0.02432315,0.043687228,0.07072472,0.09904445,0.12090885,0.1288541,0.12069722,0.100869976,0.08255808,0.08325735,0.11493828,0.1750298,0.24414067,0.299014,0.32444537,0.32192132,0.30313882,0.28266463,0.26900387,0.2617618,0.2521781,0.2295347,0.19028068,0.14339465,0.10772396,0.10089046,0.12837045,0.17902172,0.23152964,0.2662729,0.27514696,0.2632329,0.24292822,0.22707266,0.22377811,0.23533686,0.2570385,0.28068244,0.29820973,0.30813265,0.31333086,0.3181311,0.32243097,0.32403547,0.32073924,0.31345364,0.3047985,0.29726818,0.29097933,0.2828697,0.26808313,0.24313116,0.20895122,0.17103489,0.13645254,0.11012617,0.093128465,0.08377359,0.07961846,0.078773074,0.07966825,0.081032835,0.08243408,0.085639834,0.09389329,0.10869875,0.12618254,0.13747406,0.13462813,0.11631226,0.08892414,0.061099812,0.038877983,0.02358297,0.014061616,0.008576879,0.00767621,0.015738072,0.04135641,0.090454936,0.15879941,0.2287482,0.28022155,0.30338174,0.30436993,0.29669452,0.29060176,0.2889544,0.29005072,0.2921833,0.2942301,0.2960699,0.297294,0.2981325,0.29839018,0.2981664,0.2971599,0.2955155,0.2933328,0.29080483,0.28789327,0.2845752,0.28099254,0.27736148,0.27382633,0.27028167,0.26649022,0.26212728,0.25697818,0.2511124,0.24505728,0.2397068,0.23580009,0.2334562,0.23171075,0.22913313,0.22442262,0.21822785,0.21349931,0.21585584,0.22954261,0.25437167,0.2824922,0.3040299,0.3122499,0.30855167,0.2964184,0.27738082,0.24888517,0.21093296,0.16791975,0.12734886,0.09513191,0.075921476,0.07472889,0.095428266,0.13630432,0.18693967,0.23324013,0.26482272,0.28078505,0.28720942,0.29175904,0.29872772,0.30748215,0.31337032,0.309551,0.2925786,0.26570308,0.23944817,0.22296184,0.21857964,0.22041734,0.22231789,0.22241151,0.22481255,0.23447895,0.25423524,0.28103092,0.3086587,0.3295639,0.34011662,0.33991852,0.33118945,0.31615388,0.2975602,0.27978227,0.26729932,0.26219133,0.26073956,0.25676993,0.24558,0.22840063,0.2100188,0.19601601,0.1905305,0.1952012,0.20838173,0.2234836,0.23342931,0.23467852,0.23063827,0.22695173,0.22732763,0.23129006,0.23669134,0.241471,0.24397816,0.24235623,0.23530103,0.22351319,0.20989412,0.19749181,0.18711166,0.17703657,0.16555057,0.15280229,0.14093186,0.13155298,0.12501878,0.120327264,0.116882145,0.11430209,0.11242747,0.110602744,0.108276606,0.1054135,0.102475494,0.10019773,0.09867466,0.0978191,0.096713185,0.09491081,0.09182673,0.08807829,0.084088676,0.08075712,0.078083254,0.076369375,0.075349696,0.07496906,0.07441342,0.07302067,0.07057179,0.06864392,0.07050374,0.07954781,0.09660026,0.1187131,0.14163424,0.1636228,0.18634813,0.21160495,0.23713441,0.2579867,0.27060983,0.27714524,0.28203526,0.28767815,0.2903728,0.2845476,0.26823553,0.24789347,0.23500396,0.23834182,0.25753275,0.28387475,0.3077064,0.3234316,0.330344,0.32905033,0.3205153,0.30553663,0.28482386,0.25800017,0.22502756,0.1883713,0.1534522,0.12582761,0.10965236,0.10988268,0.13313097,0.18217754,0.24733834,0.3077573,0.3438896,0.3507533,0.33786836,0.31855482,0.30025938,0.28420648,0.27073547,0.26296028,0.2652514,0.27911016,0.30095407,0.32373226,0.34130633,0.35050246,0.3505498,0.34059253,0.32085106,0.2945563,0.2690595,0.25152037,0.24496353,0.24677992,0.2524313,0.2582232,0.26182094,0.2607104,0.25265053,0.23792653,0.22017157,0.20444544,0.1935016,0.18631707,0.17844826,0.16547619,0.14638552,0.1268439,0.116351806,0.12357489,0.15059413,0.19455032,0.24817276,0.30178335,0.34239867,0.3600501,0.3533263,0.33143905,0.30700663,0.2880865,0.27570054,0.26702455,0.26004288,0.2543611,0.25091824,0.25084305,0.25619403,0.26822427,0.28611287,0.3052455,0.32049644,0.3285177,0.32967553,0.32570875,0.31886423,0.31148294,0.3063253,0.3053188,0.3075846,0.30907622,0.30420905,0.28978157,0.2679932,0.2467076,0.23461671,0.23493521,0.2423983,0.24757867,0.24416156,0.2329449,0.2192266,0.20753832,0.19867389,0.1905541,0.18222843,0.17689867,0.18100421,0.19831288,0.22472556,0.25078425,0.26853594,0.2771462,0.27990863,0.28025216,0.27912953,0.27702722,0.27496794,0.27420583,0.2746512,0.2737583,0.26775512,0.25385115,0.23431635,0.21548729,0.20523782,0.20560662,0.21291918,0.21949618,0.22158833,0.22048688,0.22235455,0.23148446,0.2477194,0.26484382,0.27622473,0.27813795,0.27224863,0.26203093,0.25043148,0.23835136,0.22604515,0.21409939,0.20350689,0.19489498,0.18802851,0.18238609,0.17775162,0.17441662,0.17245637,0.17155622,0.172403,0.17788543,0.19364493,0.22212863,0.2595723,0.29332617,0.31175396,0.30842844,0.28687513,0.2534776,0.2155482,0.17797486,0.14444701,0.116647005,0.09434816,0.07615436,0.060415298,0.04634032,0.033892144,0.02354751,0.01755699,0.021827033,0.04765418,0.103746295,0.18748717,0.27768946,0.34751284,0.3788652,0.37419915,0.34794593,0.31631538,0.2888137,0.26923957,0.2571952,0.25001612,0.2441826,0.23718423,0.2281555,0.2174473,0.20602958,0.19500653,0.18510646,0.17600106,0.16694535,0.15777268,0.14955129,0.14340885,0.13954443,0.13751377,0.13794638,0.14363918,0.15758951,0.18025981,0.20671129,0.22932959,0.24129754,0.24223115,0.23652357,0.22999711,0.2229104,0.2111402,0.1903895,0.16347308,0.13905644,0.12653197,0.12862624,0.14171042,0.15934417,0.17809923,0.19700415,0.2158336,0.23223089,0.24361902,0.24781467,0.2435285,0.22915627,0.2047571,0.17443252,0.14683037,0.13267706,0.13819356,0.16225334,0.19366209,0.21928416,0.22835618,0.2196974,0.19727725,0.1695568,0.14466381,0.13076665,0.13252778,0.15092622,0.18387,0.22674675,0.27319562,0.31249246,0.33629882,0.34072676,0.33207822,0.31839263,0.30634868,0.29643765,0.2872738,0.2777038,0.26820028,0.25989726,0.25362927,0.25044847,0.25237334,0.26214886,0.28172696,0.30938858,0.33993825,0.3662859,0.38389286,0.39174864,0.39206228,0.38738644,0.38014087,0.37263095,0.367493,0.36604008,0.366963,0.36672166,0.36250404,0.3545332,0.34578753,0.33943653,0.33669814,0.33689857,0.3386875,0.34110105,0.3431517,0.3434395,0.34024417,0.33279777,0.32191685,0.30901134,0.2949517,0.27951106,0.26366517,0.24965219,0.24051768,0.23676734,0.23652375,0.23639373,0.23370433,0.22711296,0.2171933,0.20756721,0.20426504,0.21315062,0.23521428,0.26537058,0.29461,0.31564268,0.3259593,0.32831037,0.32701778,0.32506418,0.32135394,0.31227362,0.29343322,0.2645219,0.23000692,0.19975753,0.18285368,0.18348415,0.19613762,0.20980816,0.21455167,0.20955342,0.20222068,0.2014935,0.2099111,0.22386217,0.23868425,0.2528489,0.26529875,0.27309856,0.2729576,0.26675454,0.26109815,0.26207757,0.2698673,0.2804999,0.2905077,0.29923224,0.30728555,0.31453967,0.32028022,0.32387897,0.32476082,0.32138476,0.31181014,0.29564983,0.27623007,0.2591466,0.24906248,0.24665116,0.24955142,0.254575,0.25989786,0.26490033,0.26975486,0.27435708,0.27833316,0.28036156,0.2793028,0.27444732,0.2670194,0.25903496,0.2526908,0.24868971,0.24665163,0.24561149,0.24498735,0.24494042,0.2461384,0.2492212,0.2537762,0.25842273,0.26153192,0.26268205,0.2628747,0.26364362,0.26596385,0.2695389,0.27346003,0.27621937,0.27670798,0.27418104,0.26924393,0.26290524,0.25570643,0.24622102,0.23228712,0.21303271,0.19081138,0.16951662,0.15188259,0.137349,0.12351757,0.10839579,0.09244696,0.078675725,0.072632514,0.0806747,0.1066725,0.14743899,0.19214936,0.22757117,0.24545263,0.24635972,0.23658805,0.22357659,0.21212554,0.20443022,0.20021556,0.1977654,0.19461353,0.18904783,0.18096037,0.1717859,0.16341853,0.15706737,0.15277116,0.14979428,0.14732027,0.14491309,0.1423591,0.13945204,0.1360017,0.13207962,0.12848912,0.12714484,0.13127847,0.14383054,0.16493523,0.19082713,0.2163809,0.23923552,0.25982156,0.27840182,0.29173377,0.2960839,0.29062977,0.2797006,0.2688801,0.26188922,0.25841323,0.25588503,0.2514756,0.24399261,0.23327585,0.21845305,0.19664256,0.16632156,0.13204858,0.10739482,0.10696008,0.13597378,0.18304294,0.22875182,0.25778225,0.26695228,0.25993195,0.24078996,0.21189837,0.17850415,0.1498292,0.13580708,0.13971591,0.15543038,0.16928113,0.16917099,0.1534784,0.1361681,0.13959773,0.1797542,0.25190884,0.33137947,0.38873354,0.4089296,0.39767513,0.3728033,0.3498321,0.33447444,0.3246164,0.31659225,0.30943093,0.30497944,0.30616066,0.314182,0.32792267,0.343622,0.357671,0.3671944,0.37143373,0.37002495,0.3637317,0.35381055,0.34274435,0.3329793,0.32654965,0.32429764,0.32558072,0.32818413,0.32947087,0.32852817,0.32711336,0.3280586,0.3326814,0.3396428,0.346452,0.3509643,0.35219848,0.34906325,0.34097466,0.32802352,0.31462708,0.30646935,0.30846554,0.3169172,0.32411277,0.322232,0.3119441,0.29852444,0.28770998,0.28050432,0.27470684,0.26774636,0.2587472,0.2487148,0.23933804,0.23264508,0.23089813,0.2361999,0.24864332,0.26494953,0.27946484,0.2877208,0.28903463,0.28627363,0.28282964,0.28050303,0.27927613,0.27846316,0.27695626,0.273121,0.26594236,0.25683588,0.24967295,0.24706627,0.2474175,0.24577063,0.23933716,0.2302748,0.22397786,0.22401978,0.23044087,0.24156933,0.25502342,0.26770744,0.27449206,0.2732365,0.26621902,0.26054016,0.2603601,0.26585045,0.27376133,0.2823262,0.29052922,0.2969664,0.29892144,0.29389286,0.281122,0.26178586,0.23885961,0.21590704,0.1963367,0.18211204,0.17360394,0.16946705,0.16750722,0.16579002,0.16351737,0.161072,0.15978633,0.16219433,0.17186086,0.1904329,0.2149837,0.23762305,0.25142345,0.25422403,0.24969707,0.2421608,0.23450463,0.22725542,0.22087769,0.21539326,0.21067302,0.20584588,0.20063163,0.19543587,0.19153903,0.18995039,0.19080238,0.1933345,0.19700979,0.203175,0.21369839,0.2280354,0.24026667,0.24287648,0.23323278,0.21736497,0.20546238,0.20256752,0.20464666,0.20170473,0.18754946,0.16336448,0.1360307,0.11083179,0.08943015,0.07088991,0.054993894,0.042220455,0.033434987,0.030195398,0.036438167,0.057415307,0.09497243,0.14298446,0.18832712,0.21905102,0.23125553,0.23000114,0.2227403,0.21437567,0.20630313,0.19896293,0.19310965,0.18907236,0.1862321,0.18343572,0.18014328,0.17643888,0.17259775,0.168692,0.16482194,0.16112535,0.15764783,0.15416121,0.1505003,0.14678602,0.14345811,0.14084366,0.1390153,0.13776208,0.13679273,0.13563953,0.13391347,0.13197418,0.13239318,0.13951325,0.15720594,0.18374391,0.21129143,0.2289085,0.23196585,0.2249328,0.22013044,0.22621912,0.24323542,0.26063526,0.26827988,0.26202384,0.24758463,0.23258191,0.22287728,0.21901274,0.21950324,0.22045732,0.21787696,0.20858888,0.19527839,0.1861192,0.19127168,0.21402656,0.24819128,0.28172293,0.3059855,0.31946674,0.3248557,0.32280374,0.31062555,0.28637192,0.25584972,0.2352364,0.248608,0.31169382,0.41720137,0.5270237,0.59507555,0.5953374,0.54006284,0.46488276,0.40211844,0.3647137,0.34804103,0.3428568,0.34116733,0.3391503,0.33512935,0.3298144,0.32427576,0.3192331,0.3141882,0.30865586,0.3020629,0.2941899,0.28509483,0.2752836,0.26539555,0.2549235,0.24482928,0.23816074,0.24180393,0.25803483,0.2832611,0.30612883,0.3196362,0.32040083,0.3096731,0.2861439,0.25307888,0.2202724,0.20189507,0.20360677,0.21775281,0.22956161,0.23020487,0.2225752,0.21712448,0.22186078,0.23678239,0.25536975,0.2718072,0.28479913,0.2967129,0.30852106,0.31793198,0.32001796,0.31031826,0.2876269,0.25539228,0.22114883,0.19257139,0.17500019,0.16971432,0.1753692,0.1872373,0.19948275,0.20785046,0.21471395,0.2259229,0.24431789,0.2659187,0.28740332,0.3180431,0.3738056,0.460654,0.553618,0.6115888,0.6028357,0.5333616,0.4366702,0.35107568,0.29543933,0.26857087,0.25937518,0.25846884,0.26187363,0.26983806,0.28226364,0.29666698,0.30677965,0.30819777,0.30067217,0.2903426,0.28325847,0.2826924,0.2862978,0.28972802,0.2879766,0.27845156,0.261638,0.2419902,0.22640532,0.22111912,0.22925675,0.24847043,0.272891,0.29506418,0.31158212,0.3244348,0.34055248,0.36545786,0.39633515,0.42259404,0.43318737,0.4334563,0.44220522,0.47910646,0.53659105,0.58389956,0.5858784,0.5356847,0.45479265,0.3772769,0.32479665,0.30153108,0.29793206,0.30218133,0.3070943,0.31672332,0.3415831,0.38755795,0.4425933,0.48174727,0.48444906,0.4518709,0.4029354,0.35865054,0.3276465,0.3073144,0.29119104,0.27595994,0.26277745,0.25595912,0.259591,0.27257934,0.28776595,0.2959399,0.29392767,0.2856279,0.27832076,0.27523413,0.27492628,0.2722834,0.26268908,0.24277072,0.2129053,0.17756857,0.14640333,0.1298783,0.13438751,0.15704702,0.18815531,0.21597815,0.23275018,0.23578429,0.2276888,0.21404368,0.200319,0.18834834,0.17646138,0.16322583,0.15053801,0.14316551,0.14550151,0.15953599,0.18369965,0.21343185,0.24232024,0.26605514,0.28372103,0.2962325,0.30137953,0.2949606,0.2782493,0.26670733,0.28625715,0.354152,0.45839325,0.55547667,0.596497,0.55840605,0.45906916,0.33931014,0.23735635,0.16951187,0.1334724,0.11746865,0.11279377,0.11752813,0.13746871,0.17518397,0.22459628,0.2675312,0.2904793,0.2913541,0.28337678,0.27891004,0.28365162,0.29409623,0.30540785,0.31470528,0.32185474,0.32780254,0.33256063,0.33480632,0.33221096,0.32336685,0.30902815,0.29240307,0.27779767,0.2685386,0.2653767,0.2670506,0.27194035,0.27921948,0.2892066,0.30467626,0.33339193,0.3835111,0.4535025,0.522494,0.55998486,0.5470006,0.4926554,0.42624986,0.3746802,0.34681058,0.3349609,0.3292124,0.32475528,0.32419273,0.32965872,0.3420991,0.3570747,0.37037733,0.37685522,0.3762854,0.3707696,0.36643958,0.3678523,0.37657395,0.38841036,0.39674935,0.3967725,0.3891038,0.37854385,0.36761823,0.35366273,0.33044755,0.29844674,0.26634246,0.24765766,0.24813955,0.2645036,0.28745842,0.3102715,0.3293716,0.34253907,0.34692743,0.34049264,0.32564732,0.30858675,0.29664353,0.29140523,0.28941804,0.2846941,0.27595937,0.26565108,0.2578876,0.2532828,0.24973325,0.24394326,0.23511732,0.22509588,0.21664287,0.21006995,0.2028745,0.19236772,0.17865211,0.16442196,0.15426719,0.15418465,0.17227425,0.21028943,0.25711656,0.29028332,0.2985749,0.2991209,0.32714036,0.40111932,0.495996,0.5608199,0.55721056,0.49006525,0.39660355,0.31729883,0.2711435,0.25461212,0.25426534,0.25997508,0.26823285,0.28005576,0.2937364,0.3043492,0.3045021,0.29220995,0.27101287,0.24740797,0.22449149,0.20164752,0.17769535,0.15346245,0.13346694,0.1254858,0.13767596,0.17288418,0.22357462,0.27609405,0.31723318,0.34174237,0.35063258,0.34910798,0.3432229,0.33994338,0.34567216,0.3632535,0.3872172,0.40666378,0.4129449,0.41299617,0.42273295,0.4551104,0.49867627,0.52728224,0.5156521,0.46464086,0.39525995,0.3342326,0.29407522,0.27273703,0.26187938,0.25697288,0.26140127,0.28579366,0.33988735,0.421348,0.5064607,0.56121516,0.5615956,0.5121427,0.4389398,0.3707974,0.322085,0.2922082,0.27406362,0.26208958,0.25567248,0.2574201,0.2696923,0.289929,0.3106145,0.32284808,0.32261065,0.31148624,0.29419574,0.27362382,0.25042853,0.22407866,0.1950735,0.16497271,0.13695858,0.1165427,0.112456225,0.13153474,0.17245138,0.2207868,0.25771275,0.27050498,0.26068512,0.23799479,0.21293487,0.19123335,0.17495029,0.16386704,0.15686403,0.1526055,0.15059108,0.15013641,0.1500573,0.14805247,0.14310248,0.13549365,0.12711538,0.11969208,0.11555027,0.117608465,0.12912898,0.15126884,0.18391603,0.22823381,0.28974137,0.36993885,0.45749798,0.5241299,0.54371387,0.509555,0.44230354,0.37154356,0.31897852,0.28977814,0.27914867,0.2795138,0.28503147,0.29332593,0.30541658,0.3213227,0.33721498,0.34495118,0.34140122,0.33034682,0.32129976,0.32102576,0.3348125,0.3701183,0.43320465,0.5183775,0.59673804,0.6314823,0.6000226,0.51619905,0.41727027,0.34179056,0.3055037,0.30270132,0.31656292,0.33463395,0.35297367,0.37540868,0.40176323,0.42527962,0.4332733,0.42634904,0.42034483,0.4386077,0.48353347,0.5324655,0.552231,0.52998173,0.47983384,0.42969468,0.39760378,0.3848131,0.38236067,0.38240156,0.38256773,0.38286054,0.38314828,0.38186398,0.37893143,0.3751411,0.37179968,0.3682334,0.36325237,0.35604778,0.34814557,0.34177437,0.3385264,0.33700618,0.33477494,0.33066157,0.32789114,0.32953918,0.3348105,0.33571577,0.3256714,0.3040329,0.27900088,0.2590312,0.24974705,0.2519084,0.264326,0.2826692,0.29903913,0.30428115,0.29367778,0.27126786,0.24708487,0.23022711,0.22273476,0.22051989,0.21844053,0.2142803,0.20902915,0.20444246,0.20282088,0.20598793,0.21531676,0.2288179,0.2419812,0.24845175,0.24378933,0.22645642,0.19938141,0.16861312,0.14121573,0.123586595,0.121893235,0.14367722,0.19133966,0.25479254,0.311043,0.3433131,0.36014175,0.3901129,0.45292297,0.53127384,0.58388203,0.57823426,0.5207982,0.44600376,0.38893417,0.36204484,0.3564007,0.3572662,0.35585633,0.35305014,0.3521948,0.35370314,0.35203007,0.34071624,0.31837937,0.29144076,0.26870438,0.25420812,0.2448311,0.2366916,0.23147906,0.2358796,0.2537284,0.28039113,0.30618787,0.32385778,0.3328589,0.3363148,0.33690834,0.33535555,0.33172086,0.32759097,0.3265781,0.33355856,0.34907117,0.36616364,0.37398997,0.3701268,0.36928752,0.39238068,0.44791138,0.51511407,0.55970126,0.5554561,0.50697774,0.43928048,0.37992203,0.3403523,0.31727514,0.30197325,0.29052863,0.28798422,0.30708888,0.3584911,0.43867826,0.52213436,0.57337457,0.56896657,0.51439744,0.4386339,0.3723235,0.330776,0.31070396,0.30180815,0.29637554,0.29372045,0.29616323,0.30353022,0.30920494,0.3024799,0.27571666,0.2325899,0.18788278,0.15923914,0.15513498,0.17038481,0.19106464,0.20376997,0.2026826,0.19041593,0.17547388,0.1676025,0.17220259,0.18779771,0.20613879,0.2188645,0.22155063,0.21618403,0.20751579,0.19998668,0.19624506,0.19785945,0.20692258,0.22420047,0.24727376,0.26877752,0.28039742,0.27737045,0.26174518,0.23972468,0.21773374,0.19923256,0.18517004,0.17488356,0.16724718,0.1602929,0.15351625,0.15175004,0.1693248,0.22509748,0.32576135,0.450791,0.5542955,0.5940761,0.5586154,0.47526595,0.38657245,0.32413042,0.29490638,0.28756854,0.28693888,0.28479394,0.28342262,0.2903019,0.30817413,0.33130637,0.3474647,0.35079587,0.34341428,0.33440006,0.32821652,0.32471853,0.3203306,0.31393313,0.306632,0.30059445,0.29726222,0.29715684,0.29996312,0.30493268,0.3106935,0.31610858,0.32027125,0.3232042,0.32490876,0.32551992,0.32489574,0.3233728,0.32131648,0.3213619,0.3296639,0.3575672,0.41105652,0.48240772,0.54376405,0.5666118,0.53841525,0.47538555,0.4056989,0.35313046,0.3236536,0.31126463,0.30667856,0.3047636,0.30525985,0.30955347,0.3188739,0.33227953,0.34794918,0.3623344,0.37227008,0.37539053,0.37250447,0.36645785,0.36044303,0.3551601,0.34893283,0.34041741,0.33128178,0.32586953,0.32577744,0.32645738,0.31818417,0.2946993,0.25720567,0.21367426,0.17161615,0.13664232,0.11341023,0.10755526,0.12204661,0.15304114,0.19034995,0.22332168,0.24771245,0.26451716,0.2760495,0.28070202,0.27664626,0.26365793,0.24548243,0.22617008,0.20954548,0.19854157,0.19546576,0.2006072,0.21127957,0.22318262,0.23292233,0.2398119,0.24519698,0.25077817,0.256856,0.2615277,0.26228735,0.25964916,0.26075986,0.2734326,0.29709664,0.31922007,0.3302802,0.340228,0.37319645,0.44213548,0.5253814,0.58091784,0.5769365,0.5183665,0.4372667,0.36937574,0.33236036,0.32466578,0.33338603,0.34663463,0.35718775,0.36546004,0.3715435,0.37419775,0.36696422,0.3480111,0.32079956,0.29449287,0.2737426,0.25817016,0.2445309,0.23329593,0.2269483,0.22743253,0.23330398,0.24298732,0.2562087,0.2737471,0.29396108,0.31159747,0.32081327,0.31930363,0.3117595,0.3074201,0.3156233,0.3389517,0.37007144,0.39631644,0.40981576,0.41864577,0.438972,0.48059532,0.5286298,0.555012,0.53714246,0.4795266,0.40601245,0.34321022,0.30352712,0.2849649,0.27888772,0.27861056,0.2845582,0.30569282,0.35190526,0.42265096,0.49664712,0.5425293,0.5380197,0.4879317,0.41800666,0.35675988,0.31796548,0.29884115,0.2885412,0.27853695,0.2675971,0.26103637,0.26424932,0.27520168,0.28312454,0.27636766,0.25461158,0.22900493,0.21372433,0.21269198,0.21995384,0.22357874,0.21475975,0.19074102,0.15911953,0.13407387,0.12986307,0.1498574,0.18586491,0.22297108,0.25112477,0.26762375,0.27553463,0.27603436,0.26774144,0.24917024,0.22361009,0.19812983,0.17937803,0.16945784,0.1662255,0.16567963,0.16459547,0.16099405,0.15483503,0.14703442,0.138999,0.13186489,0.12796815,0.13179351,0.14727874,0.17468758,0.21077971,0.2561768,0.31757754,0.39902362,0.48739442,0.5513703,0.5613909,0.5123077,0.42813268,0.34309602,0.2803824,0.24492858,0.23075329,0.23052423,0.23883341,0.25238785,0.26947743,0.28799987,0.30421793,0.31186226,0.308998,0.29887578,0.28967574,0.2870159,0.29612362,0.32410857,0.37864974,0.45612207,0.53266484,0.5736077,0.5568268,0.49116448,0.40971684,0.3458334,0.31289902,0.3030745,0.30076423,0.29677042,0.29277107,0.29768923,0.31440842,0.33572248,0.34627,0.3442147,0.3473048,0.3829095,0.4558382,0.5362425,0.57864565,0.558896,0.49087998,0.41093346,0.34791997,0.31017008,0.28998873,0.2788698,0.2721556,0.2697769,0.27173153,0.2777195,0.2863139,0.29534218,0.30219102,0.30469093,0.3023617,0.29679832,0.29120842,0.28936327,0.29328287,0.30234408,0.31328022,0.3236018,0.333474,0.34358072,0.35091302,0.34632647,0.32162988,0.27554235,0.21753722,0.16078137,0.1172787,0.094174206,0.09422811,0.11400775,0.14298593,0.16782822,0.18095596,0.18623392,0.19399615,0.21011256,0.22931053,0.24030833,0.23607647,0.220235,0.20366348,0.19640388,0.2006617,0.20980497,0.2139274,0.20784907,0.19577934,0.18788148,0.1915968,0.20605701,0.22344519,0.23701917,0.24476969,0.25092575,0.2614199,0.28393766,0.3204694,0.36357403,0.3950355,0.40304804,0.39866456,0.4110727,0.4603814,0.5288232,0.5741276,0.5611966,0.4956671,0.41142353,0.34527373,0.3107632,0.30162117,0.30406374,0.3093717,0.316067,0.3261977,0.34023067,0.35338056,0.3568672,0.3431215,0.31080595,0.26513812,0.21504302,0.17061843,0.14329922,0.1419707,0.16818047,0.21132366,0.2549088,0.2855096,0.30067843,0.30622217,0.30999282,0.3160026,0.32405493,0.33151618,0.3368522,0.34146073,0.34968403,0.36381269,0.3789464,0.38564396,0.38015616,0.37679276,0.3979198,0.4561228,0.5308608,0.58339936,0.5795165,0.5208889,0.43507984,0.35745147,0.30493686,0.27747682,0.26526925,0.2622811,0.26989567,0.29853174,0.35707378,0.44186708,0.5258708,0.574275,0.564615,0.507448,0.43297163,0.37224445,0.33671406,0.32291093,0.32034674,0.32207242,0.3251774,0.33043885,0.33823395,0.34589863,0.34704614,0.33620664,0.31404865,0.28770307,0.26567757,0.25219896,0.2466681,0.24587947,0.24646483,0.24524634,0.24045749,0.23309296,0.2274394,0.22748728,0.23325054,0.23882522,0.23719835,0.22479367,0.204942,0.18388027,0.16730015,0.1566441,0.1510085,0.14817093,0.14709423,0.14728616,0.14935206,0.15301515,0.15727986,0.15960984,0.1583087,0.15291862,0.14521354,0.13769174,0.13389097,0.13752769,0.15228419,0.17862244,0.21528961,0.2615117,0.3223326,0.40004364,0.4849341,0.5488717,0.56390387,0.52149206,0.4414877,0.35566947,0.28898847,0.25067416,0.23739155,0.24037941,0.24993376,0.26085374,0.27451146,0.2942281,0.31880125,0.33865333,0.34673265,0.3433831,0.33828256,0.3370633,0.3394898,0.33974233,0.33532664,0.32710218,0.31895074,0.31446874,0.31684163,0.32691514,0.34289554,0.3589954,0.36906883,0.36896667,0.36044598,0.34879455,0.34007242,0.33680007,0.33757856,0.3388491,0.3373841,0.3319582,0.32348064,0.31580532,0.3146615,0.32453087,0.34346044,0.36261192,0.37194332,0.3676858,0.3538581,0.33690998,0.32053182,0.3049064,0.28993645,0.27652,0.26578677,0.2577368,0.25212798,0.24956985,0.25088477,0.25580272,0.2624106,0.2695557,0.27657625,0.28291926,0.28535643,0.2810447,0.26955423,0.25543627,0.24471706,0.24141853,0.24515526,0.2525153,0.26051116,0.2681633,0.2761706,0.28456023,0.2921718,0.2974684,0.29974723,0.2994281,0.29749015,0.29573798,0.29720327,0.30606413,0.32521224,0.35256743,0.38018227,0.39769924,0.3997426,0.38874617,0.3728845,0.35875416,0.34841302,0.33988678,0.33153093,0.3231735,0.31574082,0.30922842,0.30292627,0.29577315,0.28726646,0.27745506,0.2669917,0.256665,0.24629045,0.23478897,0.22105229,0.20615333,0.19279717,0.18373917,0.17932256,0.17812158,0.17862691,0.18070382,0.18472357,0.19015759,0.19533283,0.1988358,0.2006162,0.20168002,0.20264381,0.20321651,0.20293601,0.20219843,0.20260523,0.20578395,0.2126383,0.22136675,0.22838384,0.22843355,0.21872811,0.19873412,0.17144583,0.13999571,0.10820851,0.07895836,0.054937676,0.03721419,0.02570939,0.019473614,0.017934471,0.02117755,0.029531037,0.04262595,0.05877204,0.07568237,0.0915215,0.10571358,0.11798195,0.1274324,0.13257721,0.13399214,0.13649768,0.14899254,0.17787875,0.22150643,0.2679679,0.30397505,0.3220739,0.325098,0.3201202,0.3139026,0.30924284,0.306572,0.30479205,0.30293867,0.30031535,0.29718152,0.29360053,0.289084,0.28174165,0.26985726,0.25280127,0.23218508,0.21082862,0.19183458,0.17722909,0.1673754,0.16077136,0.15540917,0.15100391,0.15108283,0.16090824,0.18390588,0.21696408,0.252844,0.2832929,0.30485144,0.3174335,0.32368258,0.32540348,0.32436597,0.32154742,0.31786308,0.3129487,0.30505213,0.2912241,0.2692871,0.24012865,0.20869346,0.18172617,0.16323043,0.15146746,0.14097011,0.1278633,0.11300985,0.099852584,0.0902326,0.08350408,0.07935268,0.07955193,0.08617696,0.098351024,0.113304995,0.13030149,0.15267265,0.18396096,0.22206672,0.25954202,0.28867057,0.30742666,0.318243,0.3244944,0.32706484,0.3251015,0.31750724,0.30455443,0.2881188,0.27146864,0.25793433,0.24987812,0.24772185,0.25017828,0.2548261,0.25909802,0.26073727,0.2573792,0.246746,0.22817779,0.20560555,0.18710883,0.1807738,0.18822323,0.20356332,0.21713704,0.22252567,0.21947247,0.21288304,0.20766552,0.20412934,0.19694649,0.17938139,0.14979549,0.114561796,0.08530872,0.072577514,0.080311656,0.10452536,0.13547717,0.16305012,0.18046664,0.185869,0.1808727,0.17242432,0.17559355,0.21310325,0.29898188,0.42050624,0.5337019,0.5917017,0.5774274,0.51472455,0.44457757,0.39505383,0.37076318,0.36201057,0.35918477,0.35718146,0.3548639,0.35194543,0.3483521,0.3433733,0.33614922,0.32641676,0.31532505,0.30499896,0.2972804,0.29335606,0.29345587,0.29687798,0.30139214,0.30529317,0.30894542,0.31513712,0.32292166,0.3253624,0.31075892,0.274254,0.22144526,0.16735889,0.12449917,0.09820914,0.08556682,0.08134705,0.081024624,0.08247598,0.08647289,0.09760182,0.12475622,0.1754431,0.24895185,0.33147302,0.4036243,0.45137727,0.473565,0.47882783,0.476813,0.4736173,0.46980524,0.46532705,0.45957217,0.45392847,0.44835794,0.4432213,0.43771553,0.43196002,0.42535722,0.41812745,0.41245857,0.41337898,0.42688692,0.45171127,0.4763225,0.48312196,0.4683411,0.45175612,0.46445718,0.51610047,0.5772751,0.5996645,0.5564517,0.46434584,0.3678955,0.3043426,0.2849077,0.29706964,0.32286716,0.34842798,0.36908007,0.38509062,0.39675868,0.39996544,0.3871708,0.3558017,0.31149402,0.26646984,0.22931318,0.20427947,0.19353123,0.2045058,0.24338299,0.30904153,0.38544682,0.45287547,0.49696398,0.5181813,0.5242353,0.52412194,0.52189714,0.5188083,0.51589257,0.515186,0.5192747,0.525749,0.5283069,0.5188734,0.50059503,0.48775962,0.4990324,0.53683853,0.5807328,0.59741265,0.5652158,0.4901534,0.4007314,0.32789147,0.2874458,0.27676216,0.2838627,0.29840645,0.31873694,0.352824,0.40945652,0.48689446,0.5619256,0.60118777,0.5810985,0.5093129,0.4176019,0.34075484,0.29477587,0.2759432,0.27242628,0.2757484,0.28427327,0.29973808,0.32217148,0.34481856,0.35483208,0.34041736,0.30131972,0.2507564,0.20712762,0.18173908,0.17448942,0.177934,0.18371572,0.1857878,0.18135631,0.1725424,0.16755857,0.17795189,0.21052872,0.26039866,0.31184828,0.34868106,0.36435196,0.36433578,0.3590211,0.35582045,0.35588363,0.35684213,0.3564497,0.3543729,0.3512558,0.34768215,0.34419653,0.34171882,0.34134868,0.34293267,0.34514916,0.34596828,0.34446606,0.34039512,0.33463946,0.32931724,0.3303676,0.34760523,0.39064777,0.45779547,0.5282143,0.5668618,0.54666686,0.46950117,0.36798573,0.2841039,0.24350975,0.24608332,0.27341858,0.3053696,0.32999256,0.34686425,0.3619865,0.37978384,0.39886355,0.41174027,0.4140637,0.40653515,0.3964493,0.38790724,0.38154602,0.37392887,0.36472377,0.35639265,0.3528205,0.35512733,0.3609245,0.36635944,0.36818218,0.36583343,0.3603898,0.35422763,0.3491021,0.34591636,0.34409797,0.34264216,0.3411157,0.34035242,0.34326354,0.35554197,0.38556647,0.43666044,0.49876484,0.54663914,0.55720097,0.5275548,0.47957465,0.4416473,0.42942432,0.43979535,0.45996198,0.47903523,0.49310708,0.50417155,0.515178,0.5269092,0.53709364,0.5434069,0.5448777,0.54310083,0.53964823,0.53670233,0.5346883,0.53460526,0.53533924,0.53700393,0.5391968,0.5436508,0.5494597,0.55035335,0.53322405,0.48586044,0.40839723,0.31662986,0.23370075,0.17506504,0.14245264,0.12863703,0.12637593,0.13258292,0.14547513,0.16312951,0.18427087,0.21343707,0.25812083,0.32290077,0.40038285,0.47510234,0.5313434,0.5638296,0.5762302,0.57739264,0.5735473,0.5686105,0.56319517,0.55882365,0.5559673,0.5556002,0.55633587,0.5569928,0.5565323,0.5553135,0.5538644,0.55233645,0.5520634,0.5544846,0.5589873,0.5585149,0.5455908,0.521327,0.50299656,0.50973654,0.54491836,0.583931,0.5929566,0.5524487,0.4746782,0.39204243,0.33659372,0.3209177,0.33761367,0.36841965,0.39810124,0.41958544,0.4330505,0.43758738,0.4284024,0.398779,0.3499095,0.2932141,0.24592203,0.21861167,0.2122304,0.22093946,0.2408014,0.26898828,0.30247238,0.3347552,0.36111513,0.37980342,0.3931427,0.40274382,0.40909347,0.4113009,0.40927723,0.40497005,0.40321186,0.4111434,0.43202642,0.46068287,0.4837718,0.4922794,0.49177268,0.49850503,0.5222883,0.54993695,0.5555589,0.5202178,0.4532189,0.3806381,0.328611,0.30411482,0.30099145,0.307119,0.3163212,0.3290913,0.35583845,0.4070282,0.48279488,0.559052,0.59943587,0.5769824,0.49862072,0.3987186,0.31661823,0.27114776,0.25722215,0.25781703,0.2602127,0.2628039,0.27103734,0.2875912,0.3049775,0.3087016,0.28749683,0.24422635,0.19336112,0.1515132,0.12577637,0.11378548,0.10835976,0.10421275,0.09920392,0.09428918,0.09250486,0.098505765,0.11594337,0.14375176,0.17418693,0.19640674,0.20355503,0.19700235,0.1839252,0.17116828,0.16160609,0.15496017,0.15024017,0.14702837,0.14540951,0.14548032,0.1469102,0.14843981,0.14845921,0.1460895,0.1419264,0.13726129,0.13268058,0.12796992,0.12311547,0.11954302,0.12051689,0.13246949,0.16623504,0.23424877,0.3378975,0.45645657,0.5480974,0.57597184,0.5315531,0.44305667,0.35210752,0.29013956,0.26346347,0.26076594,0.26585224,0.27053854,0.2769604,0.29251385,0.31826094,0.34551203,0.35950533,0.35358343,0.33237386,0.30835947,0.29151043,0.28961957,0.3140252,0.37348604,0.46139994,0.54212576,0.5753272,0.5433294,0.47190532,0.40308106,0.36636868,0.3603771,0.368284,0.37495673,0.37875414,0.38674513,0.40716735,0.4359852,0.45876166,0.4591117,0.44155136,0.4304442,0.4523184,0.50572807,0.55745333,0.5678718,0.52173233,0.43909553,0.35517576,0.29671502,0.26942703,0.2648052,0.2711329,0.2805206,0.2896532,0.29853487,0.3091438,0.3231769,0.33985087,0.3550899,0.36490378,0.36783126,0.36601004,0.36208406,0.3578913,0.35412383,0.3516958,0.3524432,0.35808527,0.36946762,0.38304082,0.3925639,0.389313,0.37016365,0.33724096,0.3001742,0.2677839,0.24618955,0.23464133,0.22955628,0.22711873,0.22596233,0.22707558,0.23312677,0.25007343,0.28424236,0.33818814,0.40358946,0.46536812,0.50976914,0.5334987,0.5418132,0.542111,0.5393099,0.5352221,0.5306937,0.5253124,0.5194258,0.5139236,0.5108543,0.51031977,0.5109596,0.5102046,0.5069301,0.50187427,0.49819925,0.50020987,0.5068932,0.5106178,0.5005389,0.47954282,0.4665819,0.48531267,0.5373263,0.5938134,0.61375546,0.5752227,0.4928244,0.40378055,0.34192336,0.31857464,0.32511282,0.3459724,0.36990094,0.3930112,0.4148847,0.43323788,0.44109714,0.430052,0.39706847,0.34910044,0.29933402,0.25989696,0.23651959,0.23134975,0.24643582,0.28301176,0.33655897,0.3940282,0.44055042,0.46728098,0.47665107,0.47680676,0.47545633,0.47534594,0.47598186,0.47715864,0.48052695,0.4891181,0.50104547,0.5093077,0.5040057,0.4864594,0.47094178,0.4782369,0.5133365,0.5579906,0.5799522,0.55848616,0.49887273,0.42715096,0.37019256,0.3399384,0.3316574,0.33352706,0.3383461,0.34838334,0.37341645,0.4199927,0.48322573,0.54135364,0.5677523,0.5457398,0.48340166,0.4065398,0.34305915,0.30614495,0.29337338,0.29484496,0.30275002,0.31433058,0.3301518,0.3494378,0.36715293,0.37325835,0.3588679,0.32287005,0.27518156,0.22991884,0.19670005,0.17585872,0.16213538,0.149835,0.13635854,0.12304362,0.11627055,0.1264024,0.1622079,0.22238289,0.29298365,0.3541592,0.392315,0.4057742,0.40268686,0.39355943,0.3862966,0.3840003,0.3856895,0.38888514,0.39158845,0.39322174,0.39288303,0.3893571,0.38221672,0.3735955,0.3672081,0.36545682,0.3679991,0.37205315,0.37476614,0.37398538,0.37044445,0.36952814,0.3823661,0.41954067,0.47985354,0.5429013,0.5765608,0.55824655,0.49141923,0.40427497,0.3296244,0.2866552,0.27548194,0.28550515,0.30521122,0.3273848,0.34920764,0.3707349,0.3915565,0.409758,0.42137468,0.42490217,0.42185953,0.41678342,0.4129401,0.41188276,0.4138392,0.41914067,0.42783615,0.4389565,0.45049575,0.46022153,0.46633303,0.46802354,0.4652296,0.45887938,0.45047128,0.44213513,0.4357419,0.4324204,0.43191028,0.4329886,0.43421498,0.43632355,0.44407785,0.46613526,0.5063207,0.55519915,0.58873874,0.5866684,0.54963094,0.5024492,0.47313154,0.47352538,0.49539986,0.5231831,0.5470322,0.5648682,0.57953405,0.5926215,0.6049256,0.6147754,0.6211752,0.6227958,0.6208394,0.61686945,0.61334735,0.61031365,0.60752654,0.60393405,0.6006574,0.59859705,0.5990515,0.60082763,0.59972095,0.58648735,0.55087227,0.4891546,0.41073868,0.33464184,0.278118,0.24639438,0.23315127,0.22818142,0.2255222,0.22349435,0.22289103,0.22542663,0.23879302,0.2742242,0.33961675,0.42620325,0.51235247,0.5752469,0.60797876,0.61747545,0.61706895,0.61453587,0.61358833,0.6135004,0.61428183,0.6139534,0.6129018,0.6110932,0.6105284,0.6106401,0.61049104,0.60817146,0.6043754,0.6013023,0.60108787,0.60190696,0.5972749,0.581507,0.55744284,0.5405275,0.5458572,0.57331663,0.59864944,0.59239143,0.54158455,0.4631784,0.3893851,0.34673217,0.3413354,0.36246085,0.39348316,0.42280057,0.4455723,0.46086058,0.46494985,0.4514544,0.41522738,0.36059132,0.3009543,0.25270516,0.22487105,0.21763454,0.22604494,0.24693947,0.27835217,0.31738088,0.35685536,0.38991722,0.41275123,0.4274141,0.4371846,0.4449892,0.45128477,0.45597184,0.45918116,0.4632878,0.4732287,0.49231315,0.5167598,0.5353711,0.539423,0.534507,0.5363524,0.5556267,0.57908773,0.57996297,0.53721327,0.45915732,0.37363407,0.31048226,0.2798898,0.27535585,0.28196338,0.29086125,0.30285907,0.33046055,0.3857237,0.46756634,0.54938346,0.5926459,0.5704026,0.489733,0.38473144,0.29391527,0.23842078,0.21784036,0.22000305,0.23163126,0.2467349,0.26574787,0.29036,0.31382188,0.32092118,0.29741332,0.2441581,0.17794955,0.12029622,0.082852975,0.064551115,0.057581693,0.055131767,0.054080594,0.054950356,0.06101346,0.07737289,0.10628024,0.14400953,0.17951138,0.2023408,0.20788622,0.20090216,0.18936731,0.18030602,0.17602758,0.17561954,0.17675084,0.17805935,0.17973864,0.18241294,0.1855989,0.18756332,0.18674694,0.18329196,0.17869155,0.17466263,0.17171563,0.16945131,0.16686374,0.16343163,0.1602471,0.16360366,0.1868468,0.24642074,0.3457516,0.4625415,0.55060714,0.5699983,0.5129641,0.41222408,0.31328905,0.24870582,0.22302103,0.2241081,0.23584722,0.25017107,0.26681378,0.28991738,0.31811848,0.3430436,0.35207224,0.34148982,0.31793007,0.29464933,0.2811114,0.2840754,0.3125598,0.37278152,0.4561366,0.5291696,0.5555384,0.5216585,0.452376,0.38638118,0.34960672,0.34075627,0.34546506,0.3507148,0.35443583,0.36130688,0.37870046,0.4044621,0.4272982,0.42813525,0.40022072,0.34997165,0.29705873,0.25596294,0.23412205,0.22911088,0.23525791,0.24528825,0.253269,0.25595203,0.2522476,0.24266054,0.22752093,0.20742045,0.18331482,0.1586604,0.13942648,0.13272274,0.14176218,0.16268833,0.18547492,0.20093434,0.20652235,0.206626,0.20620681,0.20645763,0.20500082,0.20156832,0.19936745,0.2049069,0.2195677,0.23980147,0.2551736,0.26076233,0.25541535,0.24422513,0.22730802,0.20480265,0.1784798,0.15759481,0.15054815,0.15798946,0.17006473,0.17514831,0.16864137,0.15587537,0.14658104,0.14719081,0.15712084,0.16987236,0.1786737,0.18021923,0.17610605,0.16964477,0.16328223,0.15756398,0.15232357,0.14776804,0.1437,0.1394883,0.13434125,0.1300048,0.12952591,0.13523026,0.14416212,0.15035029,0.148349,0.13874069,0.12642321,0.11671252,0.11047727,0.10459706,0.09622556,0.08698991,0.08286518,0.088740595,0.10378612,0.12149129,0.13484842,0.14068604,0.14015834,0.13607723,0.13048397,0.125413,0.12443175,0.13398175,0.15722816,0.18987322,0.21824074,0.23114811,0.22686301,0.2149464,0.20519285,0.20176196,0.20235352,0.20305718,0.20064117,0.19281353,0.17805575,0.15654294,0.13142756,0.10891407,0.09657457,0.09960931,0.11822417,0.14689767,0.17766853,0.20360632,0.2211718,0.22948842,0.2290178,0.22116584,0.20840186,0.1938696,0.18025523,0.16973756,0.16444345,0.1662205,0.17491136,0.1877651,0.20076583,0.21125114,0.21841253,0.22272617,0.2242614,0.22235514,0.21446478,0.1981163,0.17348455,0.14771466,0.1314338,0.13243765,0.14829062,0.16984338,0.18814604,0.20035,0.2073831,0.20961076,0.20553702,0.1940691,0.17830622,0.16605352,0.16603911,0.18048863,0.20147578,0.21655406,0.21930772,0.21363847,0.20773216,0.20548816,0.20495015,0.20227093,0.19528465,0.18296641,0.16451639,0.14071837,0.1163224,0.100334495,0.10069173,0.11916154,0.14838924,0.17725979,0.19633709,0.20286632,0.19946127,0.1914639,0.18258838,0.17308901,0.16035287,0.14286603,0.122655064,0.104775704,0.09359642,0.09119967,0.098267175,0.114349306,0.13679056,0.1592608,0.17555766,0.18262845,0.1821097,0.17617822,0.1663139,0.15303999,0.13850267,0.12526089,0.11590447,0.111726336,0.11315543,0.118308775,0.12240381,0.119972944,0.10916993,0.09469218,0.08434836,0.083333224,0.09187379,0.10800421,0.13221693,0.1629342,0.19462258,0.21584563,0.22223282,0.21739191,0.21231158,0.21222347,0.21662726,0.22051366,0.22054304,0.21549922,0.20665991,0.19688529,0.18928891,0.18573494,0.1866976,0.19201742,0.20080768,0.2100668,0.21432893,0.20795317,0.18915653,0.16245642,0.13728401,0.12304453,0.12376096,0.13630407,0.15312976,0.1677956,0.17786197,0.18476145,0.19051021,0.19605269,0.20054203,0.2028045,0.20162041,0.1962954,0.18644737,0.17381084,0.1626898,0.15898216,0.1657253,0.1805854,0.19693653,0.2081332,0.21040975,0.20188254,0.1821359,0.15268235,0.1203798,0.09513637,0.08568609,0.09207917,0.10768198,0.12437268,0.14211772,0.16358954,0.18911205,0.20868415,0.21531624,0.20899141,0.20042501,0.19553415,0.19463228,0.19266832,0.18879008,0.18496828,0.18402372,0.18527651,0.18472314,0.17765816,0.16243441,0.143202,0.12717877,0.12028583,0.12251542,0.12919855,0.1348416,0.13721323,0.13792722,0.13977183,0.14447428,0.1512751,0.15837544,0.1635853,0.16573757,0.16403064,0.15792029,0.14629528,0.12843616,0.105417915,0.080882855,0.059818313,0.04562485,0.038753975,0.037138686,0.038716707,0.042588938,0.049145013,0.058541376,0.06990122,0.081002474,0.08909439,0.09177184,0.088282354,0.08103809,0.07588246,0.07912392,0.09148869,0.10700842,0.11836579,0.12739466,0.14212137,0.16850674,0.19863923,0.21975516,0.2227438,0.21091707,0.19120681,0.16948469,0.1471226,0.12574957,0.10949838,0.10472884,0.11580318,0.14067014,0.1713733,0.19854355,0.21697943,0.2259701,0.2271915,0.22231066,0.21338607,0.2032811,0.19487835,0.18957885,0.18664737,0.18450694,0.18226586,0.18053411,0.18039067,0.18205996,0.18429281,0.18551117,0.18509103,0.18379314,0.18233486,0.18009464,0.17483385,0.16476627,0.15043755,0.13509083,0.12149679,0.109561406,0.09729859,0.08614845,0.08365139,0.09852302,0.13211785,0.17418706,0.21008903,0.2300127,0.23384278,0.22575523,0.20839934,0.18129595,0.14513628,0.10563315,0.072864965,0.057260316,0.0642639,0.09192327,0.13047445,0.16681868,0.1898253,0.19582929,0.1884199,0.1750106,0.16165662,0.1506756,0.14100848,0.13028032,0.117065646,0.10198524,0.08791492,0.07851098,0.07628135,0.0806956,0.08861946,0.09614816,0.10063521,0.1004703,0.09451601,0.08218888,0.06519035,0.047669757,0.034494177,0.028706854,0.030519823,0.03848129,0.050067645,0.062516116,0.07244895,0.07757306,0.0771698,0.072765194,0.06640523,0.059631724,0.05263645,0.045075823,0.036967665,0.029580882,0.025139237,0.025872903,0.03232972,0.04286049,0.054192286,0.06342672,0.06895339,0.07026253,0.06700688,0.059169754,0.048097134,0.03692406,0.02952605,0.028654404,0.03470534,0.045978513,0.059387255,0.0716514,0.07980331,0.08240622,0.079869,0.075333096,0.0735955,0.08027279,0.09763831,0.12328055,0.14942782,0.1695376,0.18171878,0.1904627,0.20083635,0.2141065,0.22596256,0.22887951,0.21802859,0.19509925,0.17007846,0.15423596,0.15593529,0.179134,0.23066027,0.3140737,0.4206765,0.5184851,0.5730894,0.5691991,0.5268729,0.47897133,0.45056984,0.4441726,0.45109794,0.45997742,0.46542767,0.4661038,0.46510908,0.46499562,0.46770203,0.47215942,0.47763112,0.48216772,0.4847306,0.4841315,0.4817505,0.47960785,0.4794538,0.48094454,0.48370525,0.48819864,0.49467698,0.49873623,0.49095628,0.4611218,0.40722892,0.3376919,0.26657197,0.20380765,0.15184526,0.109160095,0.07617628,0.056808326,0.055599544,0.07326626,0.105363965,0.14281768,0.176754,0.20033188,0.21147706,0.21048261,0.20118909,0.18860422,0.1785649,0.17383032,0.17385925,0.17521995,0.17484854,0.17180564,0.16868146,0.16997248,0.17992108,0.19891618,0.22368653,0.24833535,0.2677742,0.28047153,0.2907158,0.30881885,0.3401357,0.37751964,0.4004668,0.39932927,0.3899505,0.4047561,0.45771348,0.52249813,0.5538378,0.5246014,0.45087478,0.37132362,0.31929243,0.3023084,0.31113872,0.33186796,0.35676035,0.38278684,0.40972722,0.43363976,0.44580606,0.43285093,0.38703564,0.3120199,0.22572942,0.15026274,0.10454517,0.09763522,0.13072722,0.19627638,0.27992427,0.36180255,0.42513844,0.46269396,0.4789211,0.48298514,0.48194626,0.4784551,0.4737179,0.47045255,0.47243717,0.4826645,0.4989029,0.5140992,0.5186645,0.51149255,0.5030343,0.5101686,0.5385727,0.57329154,0.5869356,0.56110024,0.50179994,0.43404827,0.38259804,0.35719928,0.3515452,0.35432032,0.35794076,0.36390138,0.38064942,0.41682994,0.47020984,0.52110714,0.54141235,0.51414514,0.44859698,0.37324977,0.31522813,0.2837752,0.2724081,0.2703693,0.27349564,0.28343174,0.30464658,0.33427158,0.3617388,0.36901975,0.34718654,0.30176264,0.2531112,0.21817064,0.202008,0.1975738,0.19672532,0.19506264,0.19056238,0.18087769,0.16526748,0.14837722,0.13879593,0.1431924,0.16022854,0.18226765,0.19939315,0.20605604,0.20134693,0.1895354,0.17582744,0.1649968,0.15932621,0.15934828,0.16356547,0.16864322,0.16997933,0.16447608,0.15193553,0.13653128,0.12405739,0.1213007,0.13181709,0.15518896,0.18469672,0.21122096,0.22819257,0.23889406,0.25723562,0.30098185,0.37509856,0.46258488,0.5279731,0.543767,0.5070055,0.4434755,0.38348624,0.34635893,0.33220032,0.33277532,0.33903018,0.3467739,0.35575232,0.3678523,0.38253316,0.3958679,0.40200248,0.40010056,0.39462504,0.3926669,0.3971515,0.40637064,0.41606888,0.42292428,0.42574692,0.42555115,0.42440185,0.42419985,0.42515203,0.4262744,0.4260938,0.42391196,0.4199346,0.41479275,0.4093125,0.40389648,0.39906797,0.3951676,0.39317477,0.39536166,0.40673855,0.43383464,0.4782301,0.5292418,0.56406546,0.5620341,0.5210073,0.4604056,0.4073452,0.37811878,0.3742868,0.38740206,0.41034636,0.4372314,0.4654188,0.49069014,0.5111967,0.524477,0.53121525,0.5316464,0.52903336,0.52523595,0.52266365,0.5199552,0.5170421,0.51351094,0.51176083,0.5121412,0.5139897,0.51383376,0.505858,0.48275742,0.43907228,0.37894908,0.3145748,0.26082525,0.22276948,0.195719,0.16974817,0.14044766,0.110342376,0.08682707,0.07551897,0.07945738,0.09902787,0.13380949,0.17949875,0.2274226,0.2655003,0.2848028,0.28286532,0.2652,0.24140476,0.22240575,0.2155593,0.22253416,0.2373529,0.25075474,0.25494424,0.24831313,0.23395906,0.21664222,0.20055549,0.18862368,0.1849405,0.1941545,0.22304948,0.27108234,0.32677042,0.36780307,0.38318017,0.38682795,0.4099256,0.46803537,0.5395315,0.5810309,0.56454754,0.5008243,0.42770687,0.3795198,0.36861184,0.38559702,0.41422498,0.44112444,0.46119428,0.47446942,0.4809804,0.47540438,0.4491273,0.3982109,0.32995093,0.25989017,0.20234005,0.16452783,0.14855973,0.15730758,0.19326149,0.2539039,0.3264328,0.39431933,0.44507837,0.47683784,0.4935774,0.50020576,0.49953067,0.4941969,0.48811737,0.4862784,0.4932804,0.50977784,0.52967495,0.5419984,0.5403366,0.5316569,0.53131163,0.5465896,0.5634101,0.55651945,0.511982,0.44230035,0.37559834,0.33432746,0.3218061,0.32795528,0.3403646,0.3537859,0.3699783,0.39811537,0.44553503,0.51053923,0.5723879,0.6027368,0.5815644,0.51543397,0.43064797,0.3577524,0.31312647,0.29787388,0.3033907,0.32116935,0.34551382,0.3734374,0.39991775,0.41511562,0.40679705,0.36804143,0.30476454,0.23278387,0.16971283,0.12600671,0.10537318,0.10576242,0.12209674,0.14567214,0.16979213,0.19160803,0.21351357,0.23548983,0.25449428,0.26449737,0.26384565,0.25407854,0.23942743,0.22265823,0.20734267,0.19756949,0.19652249,0.20249881,0.20898537,0.21018773,0.20610987,0.2032088,0.20795399,0.22203748,0.24110408,0.2594316,0.27306485,0.28149188,0.2855537,0.28630957,0.28303266,0.27489927,0.2646577,0.26410306,0.29136088,0.3563033,0.44632816,0.52537125,0.55919343,0.5364025,0.47802064,0.4154935,0.37382984,0.35861936,0.36436403,0.38046503,0.3994523,0.41741022,0.43388292,0.44740257,0.45449626,0.45124927,0.4388506,0.4227494,0.40755904,0.39362288,0.38236687,0.38603568,0.41909063,0.48221636,0.5455294,0.57103425,0.5390528,0.46945858,0.39869094,0.35490546,0.34072495,0.34451354,0.35377565,0.3653841,0.38392678,0.41602603,0.45860204,0.49761978,0.51506996,0.50944334,0.49824512,0.5047819,0.5335565,0.56352603,0.56601804,0.52699786,0.46114042,0.39710262,0.35985065,0.35385147,0.36906734,0.39124826,0.41205445,0.42822787,0.43930152,0.44589603,0.4505278,0.4551065,0.46006885,0.46279737,0.46214923,0.45782462,0.45283714,0.44894078,0.44849598,0.45030734,0.45375416,0.4571048,0.46170104,0.46450552,0.45869175,0.43281972,0.38480222,0.32383028,0.26849428,0.23167248,0.21569477,0.21254039,0.2120295,0.20677137,0.19490445,0.17946206,0.16674519,0.16366886,0.17399025,0.19581307,0.22096868,0.24022813,0.24725218,0.24242969,0.23006952,0.2163294,0.20534159,0.19905198,0.19781268,0.202272,0.2129672,0.22826552,0.24322231,0.25198343,0.25186896,0.24484955,0.23466276,0.22557008,0.22348182,0.23898096,0.2768844,0.32722795,0.36437276,0.37415496,0.3722036,0.39455163,0.45718136,0.5329691,0.57355267,0.5537738,0.49286982,0.43254852,0.40148,0.4007417,0.41508242,0.4311987,0.44521534,0.45923817,0.47534132,0.4894782,0.49093458,0.46535325,0.4059876,0.32086667,0.23185746,0.1612234,0.12158364,0.114305995,0.13860594,0.1925848,0.2705147,0.3551643,0.4266537,0.47141686,0.49134147,0.49600562,0.4954774,0.49438044,0.49392942,0.49469268,0.49795938,0.5062042,0.51878387,0.53171545,0.53737944,0.5341801,0.52807087,0.53068906,0.5453182,0.56147856,0.5591604,0.52507395,0.46361813,0.39485398,0.3404661,0.3110168,0.30325794,0.3074471,0.3174236,0.33514002,0.3697786,0.42654943,0.49794754,0.5575798,0.57573754,0.5375176,0.45804086,0.37089074,0.3072364,0.27840889,0.27687308,0.28868318,0.30369258,0.3195336,0.33745828,0.35699186,0.37098575,0.36712098,0.33578572,0.27913037,0.21180151,0.15217967,0.11136544,0.08994305,0.08208338,0.081849866,0.08583262,0.09310023,0.103741355,0.11798515,0.1342118,0.14888817,0.15703641,0.15648727,0.1489382,0.13965084,0.13286662,0.13019042,0.13063566,0.13297051,0.13655873,0.1414238,0.14755599,0.15477991,0.16184811,0.16710556,0.16891807,0.16814046,0.16714294,0.16892058,0.1740207,0.18170828,0.19026782,0.19836716,0.20458962,0.21172535,0.23047894,0.27737722,0.3581624,0.45465484,0.526974,0.5426264,0.49823594,0.42334554,0.3541931,0.3135581,0.301959,0.30789003,0.31822798,0.32596895,0.3321742,0.34251824,0.3602022,0.38181767,0.39919427,0.4083228,0.4106053,0.41143143,0.41237453,0.41272807,0.41053808,0.40670514,0.40322208,0.4028916,0.40707338,0.4159859,0.4269887,0.4367064,0.44184813,0.4426005,0.44105375,0.44044638,0.4419477,0.44517982,0.44821832,0.44945267,0.4479352,0.44381735,0.4376475,0.42964903,0.4190617,0.40493467,0.3868247,0.36596736,0.34393468,0.32233915,0.30145705,0.28090546,0.25941238,0.23640299,0.21296495,0.19206303,0.1761573,0.16552235,0.15866648,0.1549619,0.15526877,0.16047065,0.16942084,0.17974412,0.19007184,0.20102401,0.21321559,0.2247582,0.23137341,0.22906391,0.21683861,0.19701469,0.17472883,0.15637402,0.14840089,0.15344588,0.16888595,0.18705998,0.20096569,0.20745902,0.20844318,0.20701288,0.20506252,0.20230983,0.19861524,0.19615608,0.20068479,0.21829534,0.25074327,0.29055077,0.32415625,0.33904696,0.33308646,0.31477478,0.29684094,0.28660312,0.28282043,0.27960905,0.2729051,0.26326105,0.2537854,0.24671596,0.24197273,0.23798196,0.23313588,0.22654271,0.21813017,0.20815997,0.19705755,0.18521965,0.17363538,0.1633218,0.15477568,0.14756113,0.14180708,0.13963492,0.14368762,0.15434122,0.16748165,0.17763312,0.18139017,0.1799881,0.17683989,0.17495805,0.17478727,0.17485361,0.17321001,0.16921616,0.16428258,0.16041352,0.15842663,0.15649189,0.15232028,0.14471944,0.13467771,0.12299341,0.10929375,0.09241808,0.07259228,0.052381817,0.035478543,0.024818048,0.021296382,0.024224317,0.032076318,0.043016937,0.05485915,0.065252066,0.07214578,0.07455119,0.072697915,0.06794347,0.061769452,0.055358257,0.05021749,0.049903046,0.061112303,0.08906772,0.13289535,0.18146326,0.22153337,0.24404757,0.2508506,0.24828511,0.24330299,0.23845285,0.2342066,0.22992903,0.22552706,0.22092366,0.21597372,0.21031989,0.20400847,0.19734119,0.19090813,0.18478172,0.17872195,0.1719641,0.16372633,0.15325455,0.1403179,0.12562881,0.111076556,0.09979265,0.09514507,0.100334406,0.11619607,0.14086294,0.1685735,0.1933673,0.21141897,0.22384246,0.23371689,0.24325709,0.25160125,0.25651357,0.25680068,0.25317106,0.24719186,0.23930359,0.22864759,0.21386862,0.1948027,0.17267036,0.14982338,0.12875563,0.111882605,0.100638986,0.094693355,0.09144968,0.087759376,0.08248099,0.07766973,0.07707258,0.08318345,0.09608388,0.11397048,0.13478015,0.15652578,0.17726374,0.19531767,0.20984834,0.2211904,0.22978051,0.23565562,0.23820038,0.23727572,0.23342274,0.22783351,0.22129013,0.2137327,0.20412625,0.19154422,0.17612118,0.15992272,0.1460888,0.1373806,0.13401793,0.13330467,0.13063578,0.122822404,0.11133105,0.103992514,0.11147032,0.13996886,0.18476558,0.23155762,0.26500353,0.27790388,0.2734116,0.26028153,0.24567036,0.23196489,0.2170711,0.19832706,0.17454363,0.14816841,0.12404257,0.10815383,0.10404489,0.111117266,0.124186896,0.13642299,0.14219497,0.13952233,0.1299362,0.11736869,0.10615244,0.0998533,0.10135865,0.11307498,0.13576478,0.16646922,0.19815291,0.22347154,0.2384985,0.24455072,0.24507089,0.24340881,0.24120478,0.23913388,0.23672622,0.23269968,0.2259395,0.21681432,0.2071011,0.19821185,0.18975854,0.18025076,0.16909401,0.15766089,0.14816026,0.14176942,0.1379833,0.13560568,0.13414536,0.1341274,0.13614815,0.13948916,0.141819,0.14033931,0.13392176,0.123675086,0.11227661,0.10176965,0.09316236,0.086347915,0.08141494,0.07870936,0.07868465,0.081424914,0.08659024,0.0943219,0.10445409,0.11608643,0.12632315,0.13258404,0.13380331,0.13163173,0.12820332,0.1252134,0.123016775,0.12152704,0.12023053,0.11884459,0.11724496,0.115885265,0.11527898,0.11583211,0.11741588,0.11949652,0.12138622,0.12240816,0.12221303,0.12066707,0.11813674,0.1151833,0.11244313,0.11023336,0.10852733,0.10718388,0.10598773,0.104976185,0.10443217,0.105485685,0.109412394,0.11672893,0.1254182,0.13199997,0.1335514,0.13040145,0.12533261,0.122004785,0.12338401,0.1313653,0.14577578,0.16322406,0.17800815,0.18515396,0.18303175,0.17410167,0.16246033,0.1516356,0.14167006,0.13034432,0.11592531,0.10117614,0.09298565,0.0980769,0.11795908,0.1471912,0.17672752,0.19936496,0.21322872,0.22096671,0.22574075,0.22845352,0.22791551,0.2228874,0.21356654,0.20152706,0.18992972,0.18313567,0.18464465,0.19392125,0.2050304,0.2113409,0.2103836,0.2062998,0.20474105,0.2086591,0.21630798,0.22424082,0.22983575,0.23215355,0.231322,0.22766985,0.22203541,0.21546234,0.20885634,0.20206045,0.1940995,0.18436827,0.17346902,0.16306096,0.15406625,0.14634788,0.13950706,0.13494207,0.13564368,0.14326195,0.15586306,0.16773118,0.17422593,0.17382306,0.16929501,0.16362332,0.1590767,0.1559471,0.1542217,0.15304597,0.15160322,0.14948292,0.14844662,0.15104596,0.1584469,0.16765548,0.17369467,0.17291224,0.16602577,0.15621911,0.14668764,0.13859974,0.13212721,0.12705858,0.12342641,0.12079447,0.11860412,0.11617013,0.113426775,0.110492356,0.10769569,0.10497896,0.102231406,0.09919748,0.09588301,0.092419885,0.089285225,0.08709077,0.08646863,0.08755707,0.089770555,0.09186969,0.09250342,0.09087735,0.08703748,0.08200244,0.077843286,0.07787386,0.08587908,0.1033327,0.12721588,0.15012033,0.1658925,0.17370512,0.17933565,0.18891011,0.20422746,0.22125815,0.2348104,0.24273519,0.24536896,0.24268919,0.23177053,0.21171774,0.18672383,0.16757774,0.16269952,0.1734745,0.19177552,0.20900317,0.22039258,0.22769254,0.23328914,0.23792887,0.23897631,0.23274644,0.21635188,0.19068964,0.16115822,0.1348407,0.11584812,0.10397106,0.09935888,0.10598355,0.1302448,0.17199026,0.22126007,0.26117456,0.27993807,0.2766991,0.2603386,0.24061488,0.22257616,0.2073976,0.19586706,0.19016385,0.19137157,0.19826125,0.20749377,0.21597081,0.2211896,0.22136422,0.21534723,0.20391095,0.19001554,0.17782275,0.17094427,0.17089142,0.17659344,0.18457647,0.19101745,0.19334805,0.19110733,0.18463458,0.17472003,0.16255493,0.15022044,0.13971224,0.13190728,0.12580147,0.11893288,0.109460466,0.09843422,0.09101979,0.09320233,0.10856557,0.13521767,0.1679249,0.1984678,0.21920402,0.22497588,0.21787755,0.20512265,0.19413896,0.18612933,0.17758201,0.16531302,0.1509595,0.13860087,0.13126302,0.12879045,0.13066421,0.13753156,0.1511404,0.1713872,0.19511513,0.21650411,0.22934966,0.23015489,0.22058071,0.20785747,0.199969,0.20062257,0.20639412,0.21083422,0.20839812,0.1968083,0.17665555,0.15162687,0.12884833,0.115089655,0.112885684,0.11812279,0.12427932,0.12636888,0.12329418,0.11724135,0.11212879,0.11200846,0.11820289,0.12923123,0.14205335,0.15493421,0.16726065,0.17844684,0.1866606,0.18980634,0.18710734,0.18069679,0.174985,0.17425245,0.17954414,0.18805976,0.19508456,0.19647159,0.18985622,0.17512445,0.15590824,0.1388184,0.1306336,0.13275366,0.14141358,0.15049176,0.15681209,0.15995407,0.1611621,0.16174702,0.16346948,0.1680878,0.17558897,0.18353625,0.1880107,0.18680817,0.18024613,0.1709445,0.1612137,0.1526462,0.1452509,0.13844264,0.13116045,0.12317917,0.11524471,0.10862279,0.103990324,0.10095951,0.09864801,0.096298635,0.09374329,0.09114972,0.08877259,0.086602114,0.08443496,0.08205679,0.07952305,0.077104576,0.07505381,0.07335038,0.07174267,0.0699636,0.06795145,0.06580013,0.06368137,0.061714288,0.060013354,0.058621168,0.057481814,0.05641118,0.055198062,0.05374671,0.052132685,0.050517917,0.04901245,0.047603544,0.046236243,0.044899832,0.043636244,0.042481925,0.04141389,0.040400278,0.03942886,0.03852346,0.03767568,0.03682357,0.03589352,0.03490101,0.03396559,0.033205066,0.032600775,0.03198705,0.03121166,0.030265598,0.029306347,0.028470578,0.02777196,0.027089136,0.026344625,0.025566945,0.0248395,0.024141207,0.023346273,0.022349747,0.021215731,0.020120487,0.01920255,0.018443443,0.01774464,0.017038964,0.016349813,0.015716147,0.015129227,0.014524344,0.01385527,0.013143841,0.01247537,0.011923701,0.011489837,0.011092874,0.010644388,0.010121056,0.009583409,0.009102135,0.008683401,0.008267882,0.007795268,0.0072748777,0.0067510824,0.0062631574,0.0057922862,0.0053256718,0.004880788,0.004539175,0.0043831826]