[0.0063296095,0.0077912696,0.010816281,0.014237225,0.017086158,0.018936178,0.019858541,0.020073323,0.019794894,0.019236712,0.018634684,0.018243223,0.018136807,0.018263001,0.018433927,0.018599197,0.018797368,0.019162962,0.019773506,0.020678096,0.021905543,0.023401747,0.025032861,0.026625045,0.028136386,0.029586183,0.030887404,0.031698633,0.03158019,0.030328998,0.028182618,0.025825076,0.024705179,0.028166445,0.041868314,0.070731394,0.11211739,0.15240337,0.17391132,0.16927718,0.14845,0.12959974,0.1231773,0.12560272,0.12696137,0.1211042,0.10853371,0.09326317,0.07984509,0.07143084,0.068245746,0.066734515,0.06290393,0.05552168,0.04732759,0.041699808,0.041319206,0.04840219,0.06572021,0.09438094,0.13193253,0.17306167,0.21244188,0.24573898,0.2681422,0.2747631,0.26353273,0.23938279,0.21250606,0.19303758,0.1833831,0.17758262,0.16566801,0.14222929,0.109578796,0.07597072,0.049134,0.032545127,0.024735251,0.022389213,0.022484757,0.023488969,0.024487527,0.024985673,0.024658257,0.023749068,0.022672534,0.021792166,0.021075904,0.020367393,0.0195996,0.01895654,0.018666424,0.018892065,0.019844204,0.023241302,0.032556817,0.053204775,0.08639183,0.1270151,0.16069831,0.17508876,0.16636463,0.14665203,0.13421595,0.14198396,0.16756295,0.1956213,0.20993972,0.20339382,0.1818157,0.15897016,0.1485158,0.15720455,0.18085758,0.20868039,0.23100017,0.24631733,0.25966796,0.27525735,0.29009056,0.29520926,0.28194988,0.24979828,0.20623277,0.16478477,0.13781396,0.13547437,0.16041942,0.20855813,0.2685211,0.32884207,0.37974313,0.41310048,0.41897205,0.38940644,0.32527658,0.24046385,0.15614475,0.09004003,0.048762012,0.028464288,0.020836905,0.018725393,0.018228251,0.018020092,0.018003708,0.018303128,0.018842915,0.01930737,0.019418353,0.019180423,0.018871212,0.01872449,0.018671634,0.018322214,0.017412424,0.016098404,0.015035038,0.014771807,0.01539997,0.016434649,0.017378561,0.018011676,0.018543014,0.019228227,0.020233871,0.021374142,0.022352213,0.022804236,0.022674762,0.022115612,0.021470629,0.020938868,0.020554148,0.020194229,0.019821731,0.019437132,0.019027421,0.018337296,0.017217599,0.015797844,0.014706827,0.01442365,0.014981491,0.015830362,0.016472748,0.016713938,0.016716944,0.016640149,0.016581552,0.01653278,0.016511984,0.01649361,0.016489817,0.016507434,0.016602917,0.016786315,0.017032156,0.017269516,0.017433984,0.017559055,0.018459111,0.022441097,0.033602588,0.05518155,0.08679698,0.12240354,0.15408409,0.17578013,0.18618967,0.18610401,0.17666931,0.15934733,0.13771077,0.11737398,0.102690734,0.09490795,0.09201587,0.092043094,0.09420258,0.09898013,0.10607114,0.11385244,0.11993095,0.122833215,0.122339725,0.11983776,0.11827979,0.1241829,0.14453353,0.18265592,0.23115356,0.27578196,0.30134174,0.30060124,0.2741581,0.22975506,0.17933361,0.1359468,0.108284734,0.09655672,0.09454799,0.09499795,0.094362475,0.09252203,0.0907099,0.089519344,0.08888558,0.08836902,0.087537296,0.08595445,0.08338461,0.08016493,0.07753431,0.07750914,0.081626825,0.08956757,0.09832534,0.103886046,0.103693046,0.10072323,0.10450485,0.13016462,0.18758093,0.27292562,0.36332583,0.4318112,0.4608808,0.45341125,0.422843,0.38406956,0.34494713,0.30863976,0.27551854,0.24576236,0.21938379,0.19661497,0.17770754,0.1629451,0.15223205,0.144839,0.13934194,0.13425206,0.12878406,0.12309093,0.11785427,0.113544494,0.11025846,0.10776218,0.10586384,0.10437685,0.103134535,0.102169015,0.10225377,0.10531979,0.113100104,0.1252305,0.13777101,0.14568847,0.14606822,0.14056696,0.13335712,0.12842073,0.1273887,0.12993814,0.13447739,0.13898404,0.14177759,0.14241081,0.14184153,0.14145565,0.14181443,0.14228225,0.14176577,0.13957103,0.13572103,0.13070427,0.12517826,0.119564645,0.11382306,0.10752783,0.1003237,0.0922181,0.08353532,0.075340636,0.07026885,0.07304791,0.08777243,0.11387104,0.14317714,0.16401689,0.16942821,0.16563755,0.17227203,0.2126265,0.29691905,0.41135287,0.52280074,0.5985128,0.6230021,0.6005128,0.5446988,0.47044244,0.39230707,0.32415166,0.2757044,0.24864866,0.23787141,0.23579937,0.23606223,0.23498029,0.23102032,0.22451198,0.21606989,0.2061993,0.19449484,0.18135585,0.16993718,0.16873431,0.18766262,0.23116606,0.29044506,0.3475156,0.3835425,0.38883588,0.3632461,0.31528625,0.25856057,0.20835523,0.17475142,0.15862814,0.15334669,0.15108563,0.14737797,0.14131932,0.13359247,0.124933094,0.11595448,0.107159406,0.099007756,0.091950566,0.08706805,0.08668124,0.09425145,0.111560345,0.13628644,0.16109979,0.17837758,0.18371902,0.18062727,0.17958492,0.19917893,0.25460586,0.34879318,0.46046984,0.5587371,0.61740774,0.6332893,0.61762524,0.58731407,0.5524602,0.51798123,0.48493293,0.45397127,0.42497393,0.39753488,0.37089238,0.34497786,0.32037866,0.2980465,0.2782726,0.26039773,0.24266078,0.22392417,0.20657416,0.200405,0.21909289,0.27101567,0.34752443,0.42559752,0.4804225,0.50124687,0.4929838,0.46855712,0.43892577,0.40992925,0.3835634,0.35991082,0.33818412,0.31720904,0.2961124,0.27477074,0.2537271,0.23389673,0.21599607,0.2004839,0.18744059,0.17683418,0.16821115,0.16084011,0.15369733,0.14626426,0.13865088,0.13170029,0.12605959,0.121738695,0.11803517,0.11464558,0.11265799,0.113985576,0.11944423,0.12682022,0.13192724,0.13109733,0.12456318,0.11755868,0.12045115,0.14387152,0.19226973,0.257141,0.3207905,0.3651817,0.38279605,0.37681174,0.35760227,0.3358771,0.32009995,0.3131356,0.313079,0.31521237,0.3159473,0.3126246,0.3032204,0.2869569,0.2670493,0.24937452,0.23784344,0.23068966,0.22203933,0.20724559,0.18682797,0.16726415,0.15650819,0.15855916,0.16933961,0.18039374,0.18444979,0.18066294,0.17229658,0.16467549,0.16116913,0.16353934,0.16962709,0.17589808,0.17827575,0.1758887,0.16987766,0.16280155,0.15632208,0.15114145,0.14687036,0.14275418,0.13823855,0.13338418,0.12875023,0.12487655,0.12189225,0.119424306,0.116978355,0.114295684,0.1114198,0.108758934,0.10718178,0.108478755,0.11444465,0.12548147,0.13883615,0.1498424,0.15430935,0.15189458,0.14650412,0.14560187,0.15653704,0.18275587,0.22016728,0.25876147,0.28810582,0.3034967,0.3066062,0.302068,0.29319277,0.28154203,0.26768902,0.25292292,0.23846231,0.22537239,0.21350718,0.20242058,0.19160779,0.18143068,0.17244454,0.16502583,0.15860534,0.15224892,0.14495647,0.13669628,0.12823544,0.12139443,0.11766397,0.11755798,0.11961963,0.12165887,0.121893935,0.1202024,0.11749219,0.11513106,0.113939464,0.11427017,0.115431555,0.116396464,0.11588102,0.11355165,0.109680325,0.10540692,0.101757765,0.09955763,0.0985598,0.097792536,0.095794834,0.09173984,0.08562886,0.078323014,0.07085962,0.06414536,0.058681145,0.05463918,0.051959664,0.05065785,0.051679045,0.057472885,0.07184959,0.09659471,0.12907186,0.1613666,0.18596043,0.19953097,0.20477553,0.20543842,0.20345537,0.1981111,0.19018762,0.18371274,0.18442471,0.19378376,0.2068258,0.21619833,0.21974756,0.22252639,0.23068249,0.24445526,0.25699654,0.26050845,0.25190642,0.23451526,0.21471834,0.19807057,0.18661667,0.17902853,0.1722982,0.16432156,0.15548055,0.1488318,0.14768031,0.15296893,0.16132142,0.16728114,0.16598253,0.15587331,0.13784572,0.114637114,0.08984688,0.0675439,0.05070092,0.039899066,0.033627987,0.030914083,0.03393866,0.04897474,0.081325114,0.12976651,0.18208593,0.2217623,0.2363316,0.22562484,0.19852905,0.16708784,0.13946168,0.11891142,0.10492974,0.09579292,0.08995688,0.08653609,0.08511114,0.0853134,0.08663821,0.08847328,0.09030605,0.09171877,0.09209708,0.09107455,0.090183645,0.09482304,0.11205516,0.14517285,0.18801613,0.22781116,0.2526314,0.25918338,0.2520244,0.23882091,0.22511643,0.21331815,0.20376211,0.19618835,0.19033468,0.18591999,0.18250434,0.17956656,0.17659475,0.17324169,0.1693403,0.16500558,0.16045399,0.15574855,0.1506178,0.14472441,0.13807912,0.13104077,0.1239883,0.11691151,0.10966504,0.10224875,0.09501905,0.08836677,0.08245636,0.07720497,0.07236724,0.06766484,0.06254001,0.056624528,0.0504275,0.046439245,0.047979716,0.05708835,0.0721417,0.08887589,0.102763005,0.11149189,0.114905745,0.11406874,0.11023926,0.10452267,0.09779421,0.09070889,0.08388401,0.07782442,0.07284533,0.06908672,0.066893615,0.0671202,0.07037952,0.0762578,0.08265961,0.08739272,0.0892579,0.0890963,0.088439934,0.08864734,0.08985146,0.091208644,0.091401435,0.08940714,0.08515666,0.07986062,0.07612502,0.07740501,0.08554745,0.09868699,0.110600084,0.11511856,0.11005377,0.098936744,0.08730328,0.07911531,0.07510822,0.0739815,0.073904075,0.07330569,0.07139945,0.06841079,0.06546283,0.06336826,0.06177355,0.05928193,0.05592811,0.055041473,0.0632481,0.08603147,0.12348527,0.16903615,0.21434426,0.25379017,0.2862424,0.31050113,0.32420754,0.3231782,0.30876055,0.28794536,0.2741472,0.27552643,0.29086366,0.3077401,0.31435224,0.3073456,0.29338357,0.2817457,0.27676976,0.2775748,0.28070545,0.28394485,0.2841412,0.27668592,0.2580565,0.23195945,0.21127959,0.20950307,0.2309496,0.2650315,0.29522634,0.30957702,0.30871177,0.30142438,0.29607615,0.29378834,0.28985012,0.28017768,0.2659661,0.25246087,0.24447215,0.24293052,0.24497175,0.24611217,0.24287158,0.2352956,0.22625995,0.2195021,0.21605092,0.21514668,0.21613531,0.2200477,0.22682132,0.23217587,0.2289954,0.2130282,0.18857281,0.16665268,0.15729429,0.16213761,0.17379706,0.18309577,0.1850893,0.18145303,0.17555898,0.1700759,0.16559784,0.16297545,0.16255628,0.16368568,0.16424951,0.16252853,0.15864746,0.15420383,0.15090697,0.14902335,0.14775074,0.14574309,0.14231658,0.13751014,0.13197841,0.1262541,0.12012378,0.11261942,0.10249003,0.08943824,0.074685626,0.06086489,0.05057785,0.045054138,0.043618053,0.044366132,0.045375425,0.045458946,0.0446174,0.044143457,0.046800252,0.055969354,0.073523365,0.09727329,0.12080485,0.13654478,0.14026564,0.13332279,0.121774144,0.11350105,0.11454149,0.1263365,0.14435713,0.16112696,0.17017959,0.17009175,0.16425644,0.15926486,0.161144,0.17189763,0.18744653,0.19951785,0.20104827,0.19048959,0.17293972,0.15691522,0.15042979,0.15656017,0.17196655,0.18851328,0.19832502,0.1973343,0.1861626,0.16875823,0.15142196,0.14078754,0.14042957,0.14824271,0.15750517,0.16139527,0.1577809,0.15162009,0.1537664,0.17415203,0.21450327,0.26404294,0.3059608,0.32547757,0.31749058,0.28633538,0.24477445,0.20910831,0.1927156,0.19879705,0.21922554,0.24113198,0.2563932,0.26621237,0.27893758,0.30131802,0.3329558,0.36349288,0.38092062,0.37761816,0.3570852,0.32864746,0.30300847,0.28560638,0.27698013,0.27347675,0.26977053,0.26062617,0.24412127,0.22368394,0.20800693,0.20497887,0.21711934,0.23885638,0.2615023,0.27623585,0.2775565,0.26402378,0.24099965,0.21923773,0.20925911,0.21401815,0.22867142,0.24607818,0.2630214,0.27878144,0.2919558,0.29792073,0.29271075,0.27551916,0.25015613,0.22263686,0.19943237,0.18627544,0.18643545,0.19897257,0.21668155,0.23004991,0.23257995,0.22669528,0.22026502,0.2213,0.23162068,0.24828006,0.2660836,0.28142595,0.29269692,0.3001094,0.30438527,0.30643624,0.30676922,0.3050879,0.29896662,0.2839215,0.2555976,0.21388908,0.16541691,0.12124408,0.091043435,0.07814696,0.07881593,0.08585504,0.092188396,0.09487731,0.09566779,0.10187606,0.12130865,0.1594246,0.21414755,0.27899587,0.34317696,0.39549482,0.42334616,0.42022645,0.3917509,0.36021224,0.35131478,0.37833953,0.43034062,0.48396268,0.5188002,0.53084093,0.5256061,0.50959736,0.48300755,0.44470492,0.3975344,0.3497168,0.3099636,0.28275576,0.2684467,0.26603296,0.27424416,0.2901831,0.30849668,0.32442236,0.33678448,0.34857392,0.36291638,0.3806615,0.398726,0.41224623,0.41451,0.4013474,0.3736322,0.34043446,0.31362388,0.302234,0.3075795,0.3247215,0.34445253,0.35696325,0.35494146,0.33719775,0.3077155,0.2730489,0.23879449,0.20961137,0.18917544,0.18031184,0.18465222,0.20325764,0.23749693,0.28579614,0.3401773,0.3851254,0.40709648,0.40427804,0.38878354,0.37579593,0.3713769,0.37261832,0.37437093,0.37711024,0.3807877,0.38242778,0.37479892,0.35639074,0.33235785,0.31371263,0.30915108,0.32288656,0.3507756,0.38171208,0.40081534,0.3986777,0.3777962,0.35015473,0.3278645,0.3137181,0.30313784,0.2902136,0.27463472,0.2597238,0.2497092,0.24635738,0.24958742,0.2573112,0.26596463,0.27039224,0.26639518,0.25318316,0.23654701,0.22503793,0.22506149,0.23390709,0.24359496,0.24627113,0.241639,0.23394711,0.22794141,0.2242819,0.22168513,0.2191786,0.21723638,0.21612461,0.21494879,0.2126115,0.20886226,0.20437847,0.19921671,0.192455,0.18257904,0.16857433,0.15048356,0.12973127,0.10961319,0.09430173,0.08735903,0.08936817,0.09794563,0.10869342,0.11829084,0.1267541,0.13919342,0.16323401,0.20451964,0.2613546,0.32471666,0.38102433,0.41705027,0.42453173,0.40587464,0.37769088,0.36269882,0.37518576,0.40774187,0.4396334,0.45214555,0.44356397,0.42294443,0.4010395,0.38059223,0.36034682,0.33763698,0.3129367,0.28763247,0.26553568,0.25168833,0.25214863,0.26887318,0.29563245,0.31875527,0.32417107,0.30783558,0.2783794,0.25266993,0.24312182,0.25173986,0.26955634,0.28596875,0.2931929,0.28958786,0.27676567,0.26085857,0.24974465,0.25056684,0.2637011,0.2829722,0.29822,0.3010732,0.28770003,0.26097614,0.22879748,0.20072354,0.1823857,0.17392051,0.17093633,0.16926663,0.16746838,0.16926253,0.18080844,0.20672482,0.24399912,0.28218237,0.3079382,0.31343338,0.30058837,0.2815489,0.27105793,0.27840158,0.30036184,0.32665017,0.34678316,0.35657415,0.35533622,0.34603825,0.33533537,0.3324611,0.34165585,0.35764518,0.37011155,0.37257826,0.36714908,0.35990846,0.3553734,0.35308877,0.34999582,0.34365,0.33421353,0.32406536,0.31484684,0.30674836,0.2988789,0.29231855,0.29006433,0.29439056,0.30317906,0.3088807,0.30309305,0.2819545,0.25005218,0.21750438,0.1935307,0.18168497,0.17893194,0.18013592,0.18022533,0.17738943,0.17248581,0.1691255,0.17003794,0.17485686,0.18053742,0.18503313,0.18967722,0.19689834,0.2067432,0.21581312,0.22055413,0.22006756,0.21637046,0.21168256,0.20654584,0.19972907,0.1901984,0.1785515,0.16702259,0.1576391,0.15059306,0.14410143,0.13589157,0.1249991,0.11217248,0.099358864,0.088197775,0.07960921,0.07327348,0.0685359,0.064869136,0.06317398,0.065039515,0.07141545,0.08057367,0.08902732,0.09374667,0.09432786,0.092403404,0.089815795,0.08737027,0.084861554,0.081931174,0.07848686,0.07495056,0.07203216,0.07037923,0.070145644,0.070744775,0.07117612,0.07068622,0.06934847,0.068236716,0.068647146,0.07167718,0.077197246,0.08407435,0.089579456,0.09080403,0.085723914,0.07558905,0.06479868,0.06002514,0.06692499,0.088022076,0.120390974,0.15689482,0.18892455,0.21144795,0.22511937,0.23405963,0.24148905,0.24616848,0.24526842,0.23661889,0.22189142,0.2028857,0.18252707,0.16419522,0.15631361,0.16623142,0.19582033,0.23413368,0.26620522,0.28031954,0.2772673,0.26418486,0.24978866,0.23751901,0.22840379,0.2228444,0.22364213,0.23255181,0.24778056,0.2627615,0.27179533,0.27352718,0.27083766,0.26548564,0.25682664,0.24386652,0.22841625,0.21424025,0.20503466,0.2025615,0.20636196,0.21344775,0.21989065,0.22295423,0.22232121,0.21927573,0.21515505,0.21147704,0.20885332,0.20643054,0.20105594,0.19057937,0.17553383,0.15972023,0.14656015,0.13810973,0.1342318,0.13451481,0.13770562,0.14243425,0.14648603,0.14815761,0.14642113,0.14177793,0.13559093,0.1296298,0.12523384,0.12297026,0.122505836,0.12292033,0.1232498,0.122998,0.122057624,0.1201664,0.11650726,0.110064834,0.10079553,0.09017984,0.080916375,0.07518631,0.07350299,0.074147195,0.07453465,0.073139764,0.07139336,0.07337717,0.08266669,0.09911706,0.11782584,0.13312013,0.14197887,0.14601539,0.14888477,0.15394495,0.16238517,0.17249678,0.18122266,0.18567662,0.18681955,0.18808247,0.19331326,0.202097,0.21035029,0.21262544,0.205691,0.18937176,0.16634995,0.14186078,0.12278173,0.115165,0.12051165,0.13458195,0.14968456,0.15970378,0.162513,0.15918255,0.15163738,0.14249448,0.13631906,0.13766845,0.1475086,0.16042255,0.16878718,0.16763633,0.15803032,0.14560014,0.13851547,0.14411217,0.16430335,0.192591,0.21686901,0.22736408,0.2229787,0.21054654,0.19903977,0.19390841,0.1954142,0.19988848,0.20163392,0.19628894,0.18476903,0.17696357,0.187236,0.22446024,0.28282556,0.34510085,0.39440343,0.4224151,0.4290407,0.4164004,0.38942418,0.35612226,0.32721862,0.30861345,0.29857123,0.28885648,0.27259985,0.24953032,0.22765261,0.21638058,0.21933265,0.22989388,0.23737757,0.23379527,0.21957183,0.2010072,0.18808831,0.18901658,0.20711303,0.23657997,0.2653754,0.28044412,0.27601707,0.255774,0.2309448,0.21219647,0.2036096,0.20070015,0.19626582,0.18633687,0.17286812,0.1603176,0.15292683,0.15309457,0.16261661,0.1810172,0.20548217,0.23002005,0.2494905,0.26101267,0.26569018,0.26545438,0.26223516,0.25671485,0.25007248,0.24350043,0.23777716,0.2316835,0.22257699,0.20783411,0.18695118,0.16204286,0.13693488,0.11522729,0.099054866,0.088755906,0.08358578,0.08239124,0.083912514,0.086602926,0.088791884,0.09033769,0.094692074,0.10898294,0.13930841,0.18483634,0.2357523,0.2786883,0.30374646,0.3097615,0.30422798,0.30223382,0.31808916,0.35743788,0.4091653,0.45405674,0.4745773,0.46773648,0.44166675,0.41229096,0.39194846,0.3860152,0.3882588,0.38765582,0.3737879,0.3459009,0.31251657,0.288987,0.28720567,0.30842474,0.34148863,0.3717827,0.39188787,0.40507397,0.41835007,0.43447742,0.44833055,0.45263752,0.44140327,0.41525558,0.37841192,0.33944356,0.30585828,0.28383946,0.2752218,0.27863964,0.2892981,0.29930675,0.30024704,0.28644264,0.25993302,0.2283888,0.2013362,0.18364596,0.17558177,0.17400102,0.17581993,0.17884193,0.1832944,0.19179063,0.20794727,0.23340078,0.26573095,0.30054432,0.33357334,0.36265758,0.38463604,0.39506662,0.38915965,0.3666661,0.33250535,0.2942073,0.25818187,0.2304415,0.218345,0.2297828,0.26599416,0.31833163,0.369525,0.4044173,0.41479108,0.40332222,0.37888464,0.35702828,0.351294,0.36809382,0.3970844,0.4207693,0.42370582,0.4054369,0.37427709,0.34214473,0.31650624,0.3006723,0.292415,0.2854923,0.27365264,0.2555925,0.23633938,0.22282541,0.21860324,0.22232716,0.22945805,0.23566253,0.2377979,0.23525564,0.229518,0.22355859,0.21956752,0.21770532,0.2167949,0.2157883,0.21468292,0.21359222,0.21214455,0.20895892,0.20234461,0.19058855,0.17345697,0.15257587,0.13183779,0.11524436,0.10565558,0.10322868,0.106289394,0.11180719,0.116978265,0.119981684,0.121548325,0.1260642,0.14143623,0.1755085,0.22918133,0.29330638,0.35189676,0.39312208,0.41376862,0.4200203,0.4203396,0.42567387,0.44332707,0.4743894,0.50686747,0.5254845,0.52165014,0.502343,0.47979105,0.4615321,0.44497037,0.42625582,0.40427053,0.3815662,0.35796306,0.33327624,0.30926144,0.29238343,0.28771642,0.29544052,0.310289,0.32524168,0.33405325,0.33300993,0.32517505,0.32091334,0.33318043,0.36398077,0.40155876,0.4264607,0.4282912,0.40911433,0.37946466,0.34777522,0.31820524,0.2917736,0.2688813,0.24936537,0.2318217,0.21401322,0.19421457,0.17300887,0.15316324,0.13790028,0.12868856,0.12500626,0.12608816,0.13280986,0.14764911,0.17191613,0.2033178,0.2358431,0.26301083,0.27997085,0.28388762,0.2734889,0.25098035,0.22397344,0.20283788,0.1948496,0.19903101,0.20846619,0.21658127,0.2236187,0.2373792,0.266583,0.31262982,0.3644396,0.40512118,0.4208367,0.40906537,0.37678695,0.33853158,0.3100163,0.30311772,0.3171661,0.34016553,0.35633147,0.35851777,0.35008428,0.33979693,0.33336833,0.33185115,0.33311507,0.33548057,0.33742556,0.33655885,0.32852006,0.3092942,0.2792537,0.24362576,0.21034825,0.18440443,0.16730088,0.15698592,0.1515138,0.14938556,0.15032567,0.15369953,0.1578954,0.16092807,0.16204292,0.16257861,0.16378927,0.16465102,0.16218854,0.1548784,0.14469193,0.13539046,0.12899642,0.124943405,0.12209319,0.121048845,0.12280264,0.12638792,0.1278942,0.12388369,0.114403,0.10315401,0.09414273,0.089156814,0.08810077,0.09008,0.09392258,0.09760747,0.099000044,0.097168796,0.09300355,0.08853374,0.08496521,0.08223659,0.07932738,0.07633715,0.0743304,0.07465749,0.07701532,0.0802191,0.08302944,0.08520009,0.086429544,0.085916795,0.08257816,0.07652007,0.06978446,0.0656623,0.06670711,0.07285855,0.081375636,0.088415824,0.09118902,0.08892999,0.08260641,0.07406349,0.06520575,0.057456955,0.051307946,0.04660143,0.043284684,0.04236281,0.04564114,0.054573495,0.06820653,0.08276919,0.092772216,0.09454575,0.08815401,0.07741191,0.06683353,0.059469853,0.056048602,0.055905774,0.057735745,0.060032677,0.06134534,0.060708154,0.058094155,0.054537486,0.051793266,0.05185252,0.056394994,0.066698015,0.08308434,0.104670025,0.12888068,0.15231802,0.17194182,0.18636994,0.19640218,0.20465983,0.21462117,0.22832376,0.2444427,0.2586264,0.2664229,0.26701915,0.26332495,0.26135287,0.26705292,0.28446183,0.31061652,0.33586875,0.34903395,0.34805623,0.34266487,0.347106,0.3682622,0.4002454,0.429353,0.4418254,0.43204537,0.40420064,0.37165558,0.34885636,0.3434635,0.35017386,0.3538399,0.3393487,0.3034846,0.25989488,0.23129857,0.23358433,0.26325,0.30046225,0.322999,0.32035074,0.29495028,0.25747254,0.22000116,0.19472879,0.19068615,0.21114969,0.2513778,0.3006804,0.34740674,0.3830572,0.4058325,0.41836357,0.42466995,0.42402747,0.41255784,0.38687465,0.35163876,0.3191733,0.3049924,0.3170332,0.3500079,0.38556036,0.40518376,0.4015689,0.38521457,0.37428963,0.3834829,0.41276333,0.44978818,0.47760972,0.48709735,0.47983646,0.46226153,0.43920186,0.4159428,0.4028593,0.40975165,0.43351653,0.45547923,0.45394766,0.4207834,0.36480188,0.30419937,0.25402632,0.22092593,0.20228942,0.19204025,0.18446703,0.17820488,0.17583264,0.18138279,0.19561724,0.21342523,0.22832714,0.23836827,0.24782395,0.2597021,0.27070192,0.27336976,0.2643371,0.24678391,0.22634484,0.20608068,0.18625064,0.16734982,0.15092981,0.13870196,0.13083124,0.12659843,0.12506193,0.12537457,0.12603539,0.12505186,0.121217676,0.114973664,0.107596986,0.09969682,0.09114909,0.08248385,0.07541684,0.071886,0.07240761,0.07592035,0.08047564,0.084225126,0.08569761,0.08400694,0.07948726,0.074711934,0.07498905,0.08592188,0.109595455,0.14163159,0.1741486,0.20042615,0.21856754,0.22934003,0.2345714,0.23613344,0.23791754,0.2441142,0.25764298,0.27786854,0.302298,0.3278003,0.3509755,0.3676752,0.37422022,0.37129673,0.3661847,0.36890364,0.3841391,0.40500677,0.41935658,0.42098594,0.41667566,0.41716567,0.42426774,0.42739797,0.41419634,0.3829675,0.34402132,0.31004894,0.28643918,0.2695419,0.25527927,0.24427551,0.24254827,0.25226602,0.27057132,0.2896684,0.30451563,0.31254056,0.31492054,0.31380954,0.31296122,0.31655917,0.32774213,0.345686,0.36341742,0.370616,0.36018243,0.33305472,0.29784164,0.26545212,0.24748963,0.25163743,0.28027093,0.32509807,0.37246463,0.40702072,0.42037764,0.41252795,0.3957688,0.38789204,0.40301976,0.43794832,0.4748617,0.49170056,0.47860864,0.44098234,0.3976035,0.3691931,0.36920574,0.39218044,0.41669753,0.417596,0.38455912,0.32673976,0.26288447,0.20807505,0.1667778,0.13808416,0.11961609,0.11148122,0.11385808,0.12689322,0.14916027,0.17799468,0.20948772,0.23938073,0.26400295,0.28054664,0.2884673,0.29039657,0.29270682,0.30138895,0.31769982,0.3357961,0.3468963,0.34573913,0.333758,0.31755596,0.30319497,0.29412332,0.29017863,0.2899585,0.29015735,0.28675023,0.27649048,0.26031914,0.24308442,0.22982109,0.22127126,0.21392663,0.20323186,0.18743087,0.16765465,0.14709641,0.1285714,0.11412539,0.10413801,0.09815385,0.09491985,0.09325016,0.09284386,0.0955953,0.10622414,0.13024521,0.17014901,0.22038762,0.26778567,0.2968336,0.29973963,0.2802274,0.25059387,0.22242875,0.2018013,0.1886741,0.1807996,0.17506938,0.17014922,0.16775908,0.17439465,0.19665496,0.23414846,0.27642873,0.30787107,0.31928733,0.31183305,0.29699948,0.2865809,0.28935978,0.30519268,0.328816,0.3494408,0.35646045,0.34213147,0.30904782,0.27083537,0.24635969,0.24577431,0.26399922,0.28419343,0.29182324,0.28274217,0.26502538,0.2515964,0.25342622,0.2738966,0.30743232,0.34225464,0.36571598,0.37179032,0.36491656,0.3582627,0.36469552,0.38774213,0.41839358,0.44013283,0.43827876,0.4091663,0.36495832,0.32818875,0.31848487,0.33829716,0.37342262,0.40314233,0.41499946,0.40876913,0.39546546,0.38856518,0.39609292,0.41350806,0.42743957,0.42467043,0.40245104,0.3693684,0.3397456,0.32417083,0.3230043,0.32839847,0.33160913,0.33172008,0.33324495,0.34034905,0.35078025,0.3593754,0.36136064,0.35608497,0.34453616,0.33031562,0.31406334,0.29621348,0.27431354,0.25209072,0.2339075,0.22466134,0.2207218,0.2179365,0.21469556,0.2163242,0.22581248,0.23916347,0.24587947,0.23787373,0.21587805,0.18798517,0.16375971,0.14771986,0.139223,0.13453431,0.1307637,0.12662312,0.12229697,0.11798376,0.11385059,0.10997465,0.10684744,0.10494271,0.10443392,0.10498026,0.10586184,0.10643213,0.10622227,0.105314024,0.10431094,0.1043115,0.10621939,0.1099838,0.11431945,0.117472626,0.11862925,0.11939158,0.12416065,0.13874377,0.16622962,0.20290895,0.23785102,0.25905254,0.2612901,0.24962635,0.23461002,0.2255757,0.22605853,0.23527505,0.24851751,0.2589995,0.25829887,0.24283636,0.2174042,0.19586708,0.19133346,0.20845036,0.24030912,0.27636778,0.30801168,0.33050847,0.34031537,0.33678028,0.32423285,0.31094468,0.30242798,0.29803824,0.29226866,0.28209108,0.2700573,0.26421976,0.27085185,0.28930104,0.31110552,0.32722244,0.33396018,0.33355594,0.32899025,0.32298413,0.31927648,0.3238362,0.33869162,0.35870862,0.3739191,0.3781463,0.37327877,0.36631,0.36395717,0.3674685,0.3726872,0.37177467,0.36024055,0.342141,0.3306384,0.33940887,0.37218866,0.4182079,0.4589702,0.47959915,0.47681358,0.45663953,0.42805135,0.3974266,0.36812493,0.34146962,0.31745964,0.29508626,0.2737718,0.25557306,0.2471518,0.25603738,0.28376046,0.31851673,0.3404081,0.33393088,0.30026028,0.2560642,0.22346652,0.2182799,0.24234428,0.28202525,0.3147462,0.3218913,0.29978046,0.25974885,0.2189592,0.18977928,0.17596172,0.17554063,0.18473965,0.19902383,0.21115829,0.21409732,0.20648317,0.19666696,0.1963657,0.21130759,0.2376291,0.26693225,0.29334214,0.3140688,0.32787117,0.33364078,0.3320187,0.3243748,0.3118702,0.29491755,0.27659,0.26107726,0.2516159,0.24518324,0.23661715,0.22189187,0.20287646,0.18340719,0.16671564,0.15272261,0.14084274,0.1309008,0.12400957,0.11973756,0.11627341,0.1108746,0.104338564,0.102475084,0.11574904,0.15142244,0.20707019,0.26764318,0.31573537,0.3420482,0.35197353,0.35730365,0.3674265,0.38384846,0.40319774,0.42130622,0.4344218,0.44137183,0.44192252,0.43749046,0.4274477,0.41170347,0.3914249,0.37020937,0.3493518,0.32617036,0.2959404,0.2601784,0.22955245,0.22009833,0.23950338,0.2781823,0.31294915,0.32245088,0.30205366,0.26456958,0.23239303,0.22478183,0.24990676,0.30040443,0.35793138,0.4032073,0.42571458,0.42447793,0.40386775,0.3697071,0.3307254,0.29773042,0.28053987,0.2816932,0.29562828,0.31202054,0.32390377,0.33158222,0.34050643,0.35225022,0.36091712,0.35704723,0.33662203,0.3034925,0.26683488,0.23768006,0.22608729,0.23722649,0.26705727,0.30406618,0.33597505,0.35615698,0.36653343,0.3735037,0.38323608,0.3938178,0.39783493,0.38723335,0.36238822,0.33109924,0.30500194,0.29440656,0.30395046,0.33038893,0.36029652,0.3780632,0.37216833,0.34375012,0.30164745,0.25869635,0.22328363,0.20027983,0.1905219,0.19383973,0.20724468,0.2254215,0.24184616,0.25207365,0.2549446,0.2509537,0.24215241,0.2317537,0.2249326,0.22362559,0.22593409,0.22636037,0.22316529,0.21691705,0.20963933,0.19985054,0.18677849,0.17102642,0.15599872,0.14438348,0.13791375,0.1371504,0.14147967,0.14834271,0.15359776,0.15390424,0.1489263,0.14141722,0.13445789,0.12907238,0.12348037,0.11585578,0.10577383,0.09549307,0.08759769,0.083984464,0.08416555,0.086289056,0.087991305,0.08783635,0.0859656,0.08469667,0.08838446,0.101639874,0.12595646,0.15743144,0.1878527,0.21004029,0.22212757,0.2290399,0.23619068,0.24549158,0.2521429,0.2527168,0.24770837,0.24388115,0.24571295,0.2537456,0.2641646,0.2741256,0.28331825,0.29366863,0.30672285,0.32128605,0.33318892,0.34040025,0.3463204,0.36002636,0.38590148,0.41862103,0.44242418,0.44283462,0.4163437,0.3749778,0.3395717,0.3246237,0.32917526,0.33775115,0.33623603,0.3209574,0.2990538,0.27917185,0.26753858,0.26899138,0.28614804,0.3159453,0.34696686,0.3657175,0.36520422,0.34937337,0.32887515,0.31251252,0.30189943,0.2915661,0.27585152,0.25554624,0.24170782,0.24850194,0.28249273,0.3332211,0.3787988,0.39934024,0.39037752,0.3641369,0.3404535,0.33523038,0.3503836,0.37338594,0.38377178,0.36787346,0.3268875,0.27549794,0.2323565,0.2134542,0.22916691,0.28003293,0.35296038,0.42388597,0.4696531,0.47875476,0.45304933,0.40372017,0.34700087,0.3022639,0.28485003,0.29875848,0.3328062,0.36846235,0.38984743,0.39139104,0.3757347,0.35057172,0.32212642,0.29469863,0.26738325,0.2398933,0.21412675,0.19978817,0.20681278,0.2383384,0.28185382,0.31694457,0.3278667,0.31566855,0.29332507,0.2748967,0.2656918,0.2636399,0.26398447,0.26364735,0.2617053,0.25786564,0.25132254,0.24125554,0.2296016,0.22096299,0.21905696,0.22153826,0.22089843,0.21017022,0.18924648,0.16525538,0.14776964,0.14233048,0.14634001,0.1512024,0.14881565,0.13833293,0.1259767,0.119929485,0.12436775,0.13848133,0.15755682,0.17596495,0.18909286,0.1963195,0.20060039,0.20593548,0.21312855,0.21920311,0.22085385,0.21881111,0.21964611,0.23059982,0.2544209,0.28448305,0.31005216,0.3202959,0.31218293,0.29118487,0.2738203,0.2807796,0.32492235,0.39811823,0.47025064,0.506716,0.4879355,0.42190132,0.3371915,0.27087286,0.25013426,0.28050518,0.34109005,0.39856848,0.42763606,0.42537093,0.4062071,0.38742793,0.37722728,0.3720422,0.3616582,0.3370304,0.29848596,0.25813037,0.23570208,0.248468,0.3006315,0.37827423,0.45445457,0.5039696,0.5166835,0.4999075,0.4674094,0.428115,0.383002,0.3320488,0.2801356,0.23647602,0.2083404,0.1963526,0.19594546,0.2014641,0.20964687,0.21825922,0.2256145,0.23042244,0.23394094,0.23829485,0.24437027,0.25093448,0.25767556,0.26759955,0.28445232,0.30818117,0.33269286,0.35084662,0.36002442,0.3652252,0.37427458,0.3913093,0.4112617,0.42254338,0.41506532,0.3896908,0.35904387,0.3407174,0.3441863,0.36613533,0.3908014,0.40264082,0.39320767,0.36777177,0.33906674,0.32166585,0.32300377,0.3404863,0.36196554,0.3721595,0.36061606,0.32739452,0.2821229,0.23844647,0.20562877,0.18586718,0.17452689,0.16704994,0.16132307,0.16088428,0.17234854,0.20258057,0.2517227,0.3093547,0.35895404,0.38765064,0.39345905,0.3824998,0.36359692,0.3444662,0.3307731,0.32345107,0.31817937,0.30816928,0.29011697,0.26578924,0.24078059,0.22100131,0.21041597,0.20879169,0.21164757,0.2133825,0.21041314,0.20224047,0.18905146,0.17167358,0.15224575,0.13520354,0.12430904,0.119859986,0.11829099,0.116239816,0.11441667,0.117367856,0.12784119,0.14194536,0.15093432,0.1491161,0.13988787,0.13262653,0.13484097,0.14617775,0.16130303,0.17457682,0.18383265,0.18891703,0.19063771,0.19103622,0.19447859,0.20642681,0.2294267,0.26029852,0.29170942,0.3154038,0.32574987,0.32079816,0.30498388,0.2876933,0.27831224,0.27855098,0.28171375,0.27976313,0.2711004,0.26339993,0.2654285,0.2806461,0.29994634,0.31060734,0.30279744,0.28156433,0.2611984,0.26008108,0.2867743,0.33615062,0.38819158,0.41940603,0.4157525,0.3806959,0.3319178,0.29037645,0.27197775,0.28059292,0.30728805,0.33464977,0.3483493,0.3456416,0.33448175,0.32697627,0.33221558,0.3526235,0.38039795,0.40094528,0.40112242,0.37887987,0.3444725,0.31404707,0.3016905,0.31007132,0.32984507,0.3430841,0.3385203,0.3151243,0.28304407,0.25390032,0.24098103,0.25254646,0.287955,0.33236983,0.3668238,0.37880948,0.3687215,0.34319448,0.31050792,0.2775286,0.25086662,0.23342602,0.22409822,0.2192731,0.21662818,0.21526998,0.21299726,0.20749508,0.19812305,0.18878083,0.18210052,0.17680174,0.16779411,0.15503527,0.14607167,0.15132539,0.17345816,0.20409082,0.23042972,0.24472308,0.24798216,0.24526559,0.24057204,0.23500808,0.22898956,0.22327508,0.21860194,0.21434937,0.20911121,0.20153332,0.19156522,0.18003052,0.16813584,0.15682511,0.1464502,0.13719736,0.12887453,0.121832766,0.11626586,0.11259898,0.11021155,0.108008556,0.10423688,0.097798325,0.08844021,0.07725347,0.06614017,0.057368975,0.052723646,0.053044055,0.05788058,0.06725881,0.083666526,0.11439797,0.16607507,0.23826845,0.3169259,0.38267896,0.42056957,0.42969382,0.41883,0.4015905,0.3892615,0.38760635,0.39286304,0.39495948,0.3855212,0.36584938,0.34457222,0.33055615,0.32561037,0.3274267,0.3306278,0.33232415,0.32883444,0.32010034,0.30623594,0.29036024,0.27412438,0.2595971,0.24773835,0.23939441,0.23349778,0.2275785,0.22009934,0.21217372,0.20682697,0.20466906,0.20340534,0.19990706,0.19459648,0.19144155,0.19505554,0.20855643,0.23094924,0.258361,0.28281122,0.29800102,0.3004451,0.29296684,0.28006262,0.26674846,0.2547133,0.24317312,0.22951293,0.21295188,0.19548424,0.18080474,0.17149793,0.1685115,0.17144425,0.17879832,0.18734556,0.19360356,0.19583105,0.19523211,0.19345732,0.19048686,0.18432496,0.17406416,0.1612551,0.14892696,0.13876344,0.13053088,0.12382107,0.11931601,0.11842913,0.12122791,0.12658487,0.1325382,0.13775934,0.14091352,0.14128919,0.1386578,0.13417898,0.1292107,0.1247485,0.12048624,0.11589342,0.11070746,0.105525464,0.10111331,0.09804082,0.09632861,0.095507525,0.094809435,0.09339071,0.090718836,0.08673435,0.08200122,0.0774559,0.07396559,0.07177737,0.070280544,0.068440534,0.065432146,0.061430994,0.05792358,0.05761656,0.063293196,0.07555571,0.091384836,0.1047504,0.110489644,0.107406974,0.09930658,0.09234341,0.091843605,0.09972399,0.1137963,0.12929587,0.14137053,0.14795935,0.14981376,0.14957395,0.14872383,0.14754535,0.14475113,0.14020401,0.13430192,0.13024153,0.1334982,0.1540398,0.1989106,0.26644766,0.3394915,0.39659765,0.4217238,0.41435,0.38180658,0.33582392,0.28639784,0.24401675,0.2140528,0.19666721,0.18616706,0.1778181,0.16939063,0.16144085,0.15440835,0.1481647,0.14237559,0.1369535,0.1321169,0.12799807,0.12457699,0.12162584,0.11883598,0.115963936,0.11280278,0.10913957,0.104446225,0.09805834,0.089604944,0.07993927,0.07092699,0.064516276,0.061167777,0.059959736,0.059427757,0.06060041,0.06919619,0.0975191,0.15738739,0.25075647,0.36024347,0.4577779,0.519263,0.5397303,0.5297559,0.5053372,0.47713134,0.44940305,0.4227823,0.39703253,0.37215552,0.34818783,0.32583585,0.30617303,0.29050776,0.2790796,0.27073523,0.2631431,0.25400227,0.2425018,0.23071767,0.2247815,0.23270051,0.25900993,0.29859725,0.33759347,0.36132026,0.36364904,0.34850076,0.3246062,0.29874876,0.27407756,0.25104657,0.22972302,0.21003151,0.1921336,0.17597981,0.16149212,0.14855124,0.13715309,0.12750271,0.119882345,0.114555895,0.111489154,0.110278994,0.1102046,0.11058542,0.110919304,0.110972084,0.11046722,0.10926809,0.10735781,0.10518394,0.103403755,0.10267431,0.103288196,0.104966454,0.10694319,0.10804102,0.10746705,0.105496444,0.10413698,0.10568615,0.11089719,0.11714082,0.12023162,0.11768219,0.11237589,0.11259388,0.12773466,0.16249745,0.21235466,0.26623237,0.31118676,0.3383015,0.34287533,0.325689,0.2923294,0.25341845,0.21884613,0.1937352,0.17618442,0.16220228,0.149032,0.13725416,0.1282622,0.12282594,0.119808696,0.11724871,0.11325559,0.107536905,0.101864636,0.10032013,0.106806315,0.122463144,0.14302526,0.16172074,0.17275864,0.17526521,0.17156573,0.1650427,0.15753454,0.14971717,0.14174633,0.13405211,0.1272122,0.12187151,0.11856533,0.11814454,0.12091903,0.12654392,0.13303965,0.1386348,0.14212006,0.14443974,0.1476047,0.15473366,0.16768841,0.1857235,0.20416264,0.2172808,0.22143948,0.2180187,0.21240659,0.21173744,0.22155617,0.24283652,0.27108535,0.2975193,0.31348118,0.31413177,0.30088198,0.28006777,0.2594215,0.24404877,0.23444997,0.22772793,0.2204734,0.21134652,0.20182888,0.19448979,0.19068353,0.18901478,0.18667312,0.18175381,0.17432974,0.1659478,0.15797262,0.15224095,0.15066148,0.15522188,0.16506235,0.17668422,0.18515523,0.18842572,0.18777685,0.1867116,0.18699451,0.18796657,0.18665494,0.17996371,0.16593294,0.14582424,0.12475633,0.109865285,0.10577756,0.11140454,0.12101803,0.12868036,0.13164377,0.13053547,0.12722802,0.123131655,0.118707545,0.114023566,0.109160356,0.10446224,0.10025683,0.09676608,0.09387729,0.09128348,0.08859742,0.08555602,0.082183324,0.078603275,0.07510222,0.07173434,0.068562664,0.065323316,0.0619697,0.05889289,0.05789305,0.06209149,0.07480488,0.097257465,0.12684636,0.15752792,0.18233906,0.19683804,0.20144458,0.20048611,0.19888352,0.19815445,0.19618039,0.18969941,0.17781095,0.1623557,0.14611979,0.13075128,0.11655352,0.10340232,0.09129664,0.08023342,0.07019473,0.06165001,0.055695996,0.053122927,0.05341136,0.054805946,0.055769175,0.056396928,0.058900427,0.06692181,0.08324028,0.10720927,0.13327336,0.15335114,0.1610551,0.15520334,0.13990419,0.122184955,0.108615816,0.10247653,0.1026983,0.105587654,0.10773647,0.108097516,0.107623965,0.10803471,0.1106717,0.11580548,0.12227261,0.12769563,0.12992461,0.12891407,0.1281401,0.1342547,0.15315121,0.18519366,0.2220896,0.25163808,0.2646347,0.26045647,0.24465685,0.22427191,0.2039473,0.18588774,0.17106444,0.15993837,0.15233165,0.14734423,0.14377646,0.1410874,0.1394128,0.13913046,0.13983923,0.1405989,0.14034434,0.13864155,0.13552472,0.13133444,0.12646139,0.12132754,0.116393834,0.112011515,0.10828363,0.10502874,0.10197985,0.09917364,0.09672361,0.09446731,0.09143656,0.08648342,0.07955421,0.07290252,0.070968956,0.07749822,0.09282822,0.11231717,0.12970895,0.14042278,0.14417237,0.14320396,0.14022772,0.13652684,0.1320902,0.12650432,0.11990273,0.11319378,0.10746718,0.10338872,0.10111674,0.10071656,0.10216209,0.10506917,0.10817736,0.10997432,0.10937486,0.10683945,0.10402167,0.10302655,0.10486282,0.10887158,0.11307973,0.11537841,0.11511152,0.11392837,0.11625817,0.12664746,0.14658684,0.170865,0.19008695,0.19539629,0.18490075,0.1636552,0.14072043,0.12337453,0.11472773,0.113100894,0.11444005,0.11441403,0.11072687,0.10337335,0.09433999,0.085902415,0.07971847,0.07602017,0.07416453,0.07331035,0.07339706,0.07553732,0.08112604,0.090473406,0.10130405,0.110076,0.11500751,0.119570255,0.13240504,0.16139524,0.2069401,0.25820103,0.29996574,0.32171082,0.32563755,0.3244736,0.3341347,0.3641902,0.41291586,0.4692824,0.5192264,0.55199486,0.56182224,0.5471081,0.5100786,0.45753825,0.40022352,0.3480301,0.30479422,0.2675517,0.23128444,0.19595122,0.16780956,0.15664376,0.16764529,0.19685088,0.2306763,0.2546903,0.26310885,0.26219738,0.2624207,0.26821622,0.27493483,0.27550754,0.26804528,0.25696847,0.2473401,0.23953865,0.23000328,0.21593261,0.19989537,0.18718342,0.18266217,0.18543284,0.1919565,0.19630551,0.19636208,0.19234042,0.18893312,0.18946396,0.1949138,0.2014309,0.20447461,0.20120816,0.19272006,0.18243994,0.17419513,0.16981561,0.16827334,0.16649236,0.16164558,0.15323474,0.14302297,0.13390535,0.12823172,0.12712623,0.12977503,0.13373917,0.13627142,0.13590069,0.13309166,0.12900281,0.124533,0.119668365,0.11427149,0.10833874,0.1023866,0.09703863,0.0927954,0.089721836,0.08752397,0.08573001,0.08389103,0.08182795,0.079866625,0.07883233,0.07944569,0.08154739,0.083847314,0.084819645,0.08406667,0.08379204,0.0887532,0.10470321,0.1334043,0.16972345,0.20191777,0.22033797,0.22293423,0.21747838,0.21356726,0.21823539,0.23139323,0.24877512,0.2634026,0.2706093,0.26907024,0.2599356,0.24505068,0.22683407,0.21102096,0.20390631,0.20887983,0.22197805,0.23561579,0.24385555,0.24651903,0.24785547,0.25151286,0.2583401,0.26500487,0.26922783,0.27109453,0.27619848,0.2899296,0.31421968,0.34300208,0.36604962,0.3741846,0.36514917,0.3438219,0.31876183,0.29655924,0.27903888,0.26347908,0.2467882,0.22914119,0.21526559,0.21298665,0.22984616,0.27269253,0.3426521,0.43286195,0.52337885,0.5910814,0.61894876,0.60704184,0.5664672,0.5135954,0.46227464,0.42341232,0.40075776,0.39003202,0.3817241,0.3691729,0.35301375,0.33824077,0.32774723,0.32018057,0.31164977,0.30103353,0.28855005,0.2764151,0.26415327,0.2521902,0.23980711,0.2286338,0.21913135,0.21271656,0.2095863,0.21069257,0.21561015,0.22292769,0.2289952,0.229773,0.22246099,0.20812981,0.1920985,0.18246381,0.18626511,0.20524581,0.2342531,0.26338843,0.28416845,0.29368767,0.29544234,0.2949861,0.29590964,0.29755035,0.2965046,0.2899619,0.2785517,0.26643574,0.2578709,0.2535817,0.24995677,0.2422589,0.22874247,0.21155082,0.19427662,0.17829345,0.16261522,0.14587669,0.12885416,0.11373357,0.10238267,0.09489954,0.090248205,0.08720213,0.08488646,0.08258023,0.07959064,0.07568483,0.0728257,0.07714292,0.09880469,0.14581843,0.2173872,0.30223623,0.38883042,0.47091886,0.54728454,0.61053425,0.65078694,0.660789,0.64611334,0.6175791,0.5902901,0.57693726,0.58952117,0.6270407,0.676157,0.71401674,0.72699946,0.7146056,0.6869843,0.65173286,0.6098181,0.5589691,0.50105345,0.44596553,0.4058263,0.38773823,0.38736972,0.39364514,0.39527413,0.38720343,0.36903414,0.3430202,0.3129535,0.28542677,0.2672656,0.2615144,0.26486507,0.27177462,0.27876687,0.28601965,0.2940799,0.30199906,0.30831036,0.3124653,0.31504664,0.3158382,0.31425956,0.30939627,0.3014722,0.29170844,0.28356206,0.28155845,0.28926483,0.3060198,0.3274792,0.34752703,0.36133358,0.36663592,0.36465397,0.35919145,0.35257497,0.34400713,0.33115044,0.31661507,0.30748698,0.31052288,0.32468784,0.34199944,0.35307923,0.35433224,0.3489335,0.34302723,0.34046888,0.3417757,0.34616598,0.3521326,0.35564074,0.349359,0.32746652,0.29132333,0.25095797,0.2189672,0.2031041,0.20207228,0.20836316,0.21326566,0.21194033,0.20358908,0.19071646,0.17663963,0.16497432,0.15756631,0.15375459,0.15011448,0.14324977,0.13242655,0.12134638,0.11579216,0.12011234,0.13318522,0.14977133,0.1634747,0.1711548,0.1725915,0.16939272,0.16290386,0.1542642,0.14428999,0.13379264,0.12343476,0.11400198,0.10597239,0.09951666,0.09409682,0.0892423,0.08456927,0.08027183,0.076432504,0.07315802,0.07023736,0.06756565,0.06497912,0.06240074,0.05986579,0.05871522,0.06319628,0.08144767,0.12172327,0.18550694,0.2616465,0.32950157,0.37008652,0.37692383,0.35909048,0.33363008,0.31855968,0.32634914,0.36463836,0.42810932,0.5008109,0.55568326,0.5770819,0.5628414,0.529639,0.49117303,0.45628512,0.42248788,0.387264,0.35036203,0.3177205,0.2960442,0.28798357,0.28947642,0.29472405,0.30056334,0.307575,0.31531826,0.32185102,0.32572594,0.32965496,0.33691993,0.34737873,0.35485378,0.35293293,0.33929765,0.31922305,0.30110386,0.29275337,0.29549864,0.30473253,0.3127855,0.31610724,0.3179898,0.32425752,0.33710995,0.35098866,0.3593348,0.35632524,0.34081784,0.31252387,0.27811304,0.24906166,0.2381724,0.24801756,0.27074286,0.2941214,0.3104942,0.3180927,0.31910083,0.31768957,0.31851324,0.32338881,0.32931384,0.33186445,0.33270696,0.3416511,0.3685348,0.41168952,0.45491078,0.47790027,0.46899545,0.4320509,0.38164902,0.33512506,0.30300012,0.28550518,0.27372563,0.2575766,0.2319874,0.20033891,0.17084451,0.15235008,0.14903086,0.16093798,0.18547624,0.22008984,0.2600591,0.29765987,0.32352793,0.3317436,0.32240817,0.30076212,0.27356517,0.2463424,0.22274762,0.20522618,0.19554508,0.19273728,0.19239216,0.18756367,0.174717,0.1559933,0.13832434,0.12729546,0.12425426,0.126455,0.12951784,0.12957641,0.12453725,0.11635608,0.11141489,0.11815572,0.14064038,0.17419805,0.20702529,0.22894348,0.23841949,0.24284793,0.25043368,0.26426426,0.28186533,0.30072382,0.32007945,0.34001318,0.35872987,0.37402728,0.3836466,0.38657972,0.38219824,0.37278438,0.36183894,0.35394284,0.35008785,0.35057852,0.35314775,0.35802343,0.36368454,0.37200567,0.38367498,0.40097976,0.41781557,0.42387792,0.41061512,0.38786256,0.37758014,0.394019,0.4249239,0.44061875,0.4216251,0.37172365,0.31216514,0.26162845,0.23242116,0.2291281,0.2535462,0.3002878,0.3582863,0.41034746,0.44010684,0.43641552,0.40126488,0.34821713,0.2967881,0.2606504,0.2425713,0.23673089,0.23747003,0.24694176,0.27282882,0.31896982,0.3756959,0.42343333,0.44538024,0.43842292,0.4139088,0.39005652,0.3844047,0.4040744,0.44115415,0.47465432,0.4850661,0.46696535,0.43259883,0.40455592,0.40202188,0.42978576,0.46982503,0.4937408,0.4793094,0.4289056,0.36139905,0.29877928,0.2509855,0.21756709,0.19324236,0.17428656,0.15930241,0.14831954,0.14198826,0.14296271,0.1531171,0.17121297,0.1895107,0.20063551,0.20153724,0.1960591,0.18871468,0.18272537,0.17969817,0.18057,0.1835062,0.18339694,0.17512207,0.1584776,0.13858448,0.122761965,0.11549798,0.117403,0.12515569,0.13415313,0.13983907,0.1403604,0.13654982,0.13140355,0.12717892,0.124609716,0.12284514,0.121377714,0.120277345,0.12002814,0.12054777,0.12136277,0.122004025,0.12228048,0.1219989,0.12047452,0.11707568,0.113178305,0.11418877,0.12821352,0.15921062,0.20127942,0.23909064,0.2589328,0.25702623,0.24216346,0.227048,0.22181565,0.22945829,0.24849702,0.2747911,0.3033159,0.32792696,0.3425082,0.34475175,0.33748853,0.33014128,0.3334268,0.35595417,0.39450088,0.4350973,0.45921767,0.4613893,0.45112666,0.44555187,0.45065907,0.46098635,0.46422052,0.45489988,0.43324265,0.40585694,0.38017368,0.36542538,0.36705235,0.38288987,0.40013573,0.40374434,0.38715184,0.36129713,0.3465431,0.36001074,0.398849,0.44348273,0.46876583,0.4644589,0.43731198,0.4024632,0.36848283,0.33681318,0.3080894,0.28614315,0.2722598,0.26257336,0.25297147,0.24927653,0.26363876,0.30339026,0.3588024,0.40938196,0.4373136,0.43963066,0.42661402,0.4154167,0.41997445,0.44626963,0.48434332,0.5161197,0.52246696,0.5020544,0.46809617,0.445302,0.45010257,0.48462126,0.52842087,0.5514938,0.52896905,0.46123064,0.37059066,0.28661054,0.22590762,0.19005024,0.17295186,0.16888489,0.1729946,0.18125595,0.19333708,0.21258302,0.23946822,0.26601994,0.2795348,0.27346262,0.25301602,0.231551,0.22311185,0.23571835,0.26889238,0.31209168,0.35019025,0.37042174,0.36983827,0.35520077,0.33730194,0.32459614,0.31853178,0.31622255,0.3126359,0.3054707,0.29393506,0.27943882,0.26439255,0.25315008,0.24938758,0.25229254,0.25445473,0.24642718,0.2235412,0.19052021,0.15721186,0.13284771,0.1202387,0.11663782,0.11641171,0.11622855,0.11877504,0.1322966,0.1652921,0.21732612,0.2763293,0.32295647,0.3433167,0.33598432,0.311941,0.2848893,0.26365906,0.2490782,0.23736154,0.22458126,0.20891051,0.19192147,0.17782074,0.17433248,0.1874942,0.21780594,0.2549366,0.28479388,0.29673445,0.29290488,0.28435466,0.28447756,0.29939,0.3263544,0.35739705,0.38328445,0.3970516,0.39567396,0.38572285,0.38252795,0.39951563,0.43501577,0.46932307,0.48244807,0.46800134,0.43767956,0.4064958,0.38577425,0.38144597,0.3977116,0.43316856,0.47545585,0.5053238,0.5068776,0.47917673,0.43373093,0.38679898,0.34799826,0.31920063,0.29663938,0.2775185,0.26137218,0.25266886,0.25870407,0.28560162,0.3298819,0.37655604,0.40841618,0.41842833,0.4147952,0.4113973,0.41732416,0.4316546,0.44769666,0.45812365,0.45803106,0.4472724,0.4308211,0.41789675,0.41513255,0.42305216,0.43763205,0.4567683,0.4823083,0.51405376,0.5456296,0.5650077,0.5623113,0.53391415,0.48394725,0.42170796,0.35853192,0.30344555,0.26217693,0.2383007,0.23451127,0.24821162,0.2679346,0.2772602,0.26614615,0.23812215,0.20617308,0.18185538,0.1692145,0.1653919,0.16585477,0.16674149,0.16602004,0.16243155,0.15579593,0.14686666,0.1375321,0.12967543,0.12439632,0.12144851,0.11978098,0.117842436,0.11446917,0.10943564,0.10397353,0.09988906,0.0984625,0.09959936,0.10240557,0.106294334,0.11183274,0.119935,0.13050453,0.14133953,0.14948474,0.15288992,0.15248282,0.15295757,0.16352527,0.1948298,0.25171748,0.3253074,0.39488137,0.4400841,0.45503613,0.44908616,0.43660903,0.4256598,0.4172139,0.4106932,0.4051013,0.39628735,0.3750184,0.33675802,0.2904176,0.25644216,0.25154087,0.27384257,0.30660322,0.3314244,0.3439671,0.3530574,0.37168148,0.40524685,0.4475244,0.48541784,0.50498146,0.49759087,0.4626076,0.41202483,0.36732897,0.3505858,0.36597416,0.39976513,0.42670497,0.43330494,0.41690907,0.39024734,0.3682113,0.36958727,0.40148953,0.4565278,0.5130738,0.5509293,0.5618725,0.5471603,0.51219624,0.4606208,0.39892635,0.3354205,0.28025922,0.24085997,0.22295304,0.23230343,0.275371,0.35236457,0.44969884,0.5401063,0.5973765,0.6110231,0.5910282,0.5570609,0.52640325,0.5068128,0.4969873,0.49048078,0.4800366,0.46321097,0.4445798,0.43676364,0.4501264,0.4849287,0.52352756,0.5438373,0.52946365,0.48369274,0.42364943,0.3763647,0.3609996,0.37964368,0.4133595,0.43870175,0.44241586,0.42767859,0.4061369,0.39148322,0.3913137,0.4044001,0.4163514,0.4116625,0.38172445,0.33571064,0.2920341,0.27220273,0.28825864,0.33870122,0.4086224,0.4772036,0.52975726,0.56094104,0.574039,0.57105136,0.55226177,0.51706964,0.47135854,0.42473176,0.38658142,0.35891482,0.33893815,0.32226804,0.3072154,0.29315242,0.2792106,0.2636761,0.24461178,0.2201246,0.18936323,0.15417138,0.12282246,0.10920494,0.13104664,0.19716196,0.29790875,0.39948997,0.4616578,0.46092036,0.4066757,0.3334044,0.2788656,0.26512274,0.28936374,0.32985666,0.36092162,0.36997917,0.3642356,0.35770664,0.35766244,0.35686433,0.34651002,0.32244492,0.28856334,0.24909471,0.20989771,0.18048126,0.17607357,0.20949452,0.27876905,0.35948086,0.41418016,0.41528654,0.363598,0.28752255,0.22514136,0.20558237,0.23814912,0.3113874,0.4003357,0.4790764,0.5311153,0.55039597,0.5366687,0.49550727,0.4407568,0.3951918,0.3778077,0.39489397,0.43409833,0.47476754,0.49591377,0.4893118,0.46105886,0.42849985,0.40504423,0.39062428,0.3734964,0.34211388,0.29747978,0.25126964,0.21949388,0.21031122,0.22384584,0.2531816,0.28987205,0.32463142,0.34964982,0.36299503,0.36793554,0.36880252,0.36217347,0.341303,0.30324128,0.2577998,0.22208105,0.21245807,0.2343225,0.27981165,0.3291748,0.3606553,0.36099526,0.33353958,0.29343542,0.2572291,0.23217231,0.21675013,0.20691283,0.20245387,0.20567586,0.21596195,0.22761305,0.23309161,0.22989535,0.22120987,0.21381001,0.21190576,0.21642305,0.22337769,0.2272708,0.22287416,0.21057354,0.19533016,0.183991,0.17923814,0.17984736,0.1829573,0.18686374,0.19032682,0.19167833,0.190206,0.1867191,0.18290849,0.17821105,0.17080478,0.15941715,0.14587434,0.13276537,0.121343136,0.110129595,0.097461574,0.08330544,0.070250444,0.061173085,0.057479843,0.05767259,0.05886453,0.058321986,0.05519369,0.05100733,0.04968253,0.056270223,0.0737285,0.100008704,0.12802362,0.15034671,0.16373776,0.1702578,0.17374694,0.17737819,0.18301608,0.19231208,0.20540328,0.22019094,0.23265184,0.2403944,0.24426663,0.24881442,0.2574979,0.27145496,0.2864933,0.29824024,0.30117583,0.29455712,0.28125778,0.27261916,0.28148723,0.3160914,0.37041208,0.42738423,0.4669391,0.47940275,0.46897754,0.45225868,0.44483277,0.45495686,0.4761567,0.49459186,0.49210194,0.46029338,0.4055362,0.3534749,0.33322504,0.36133763,0.4283847,0.50683147,0.56489915,0.58243555,0.5576857,0.5058777,0.44958773,0.40295804,0.36602306,0.32931307,0.2879594,0.24807222,0.22416635,0.2310189,0.27179754,0.33329692,0.38822985,0.41297606,0.40116778,0.36663315,0.3306799,0.30795673,0.30089256,0.30250394,0.304453,0.30079362,0.28856406,0.2679284,0.24575931,0.23866369,0.26446882,0.32843888,0.41364253,0.4910229,0.5355375,0.5395189,0.51080555,0.4663154,0.42295027,0.3918318,0.37625536,0.37294412,0.37647128,0.37907863,0.37316385,0.35302404,0.320277,0.28296328,0.25016338,0.2262202,0.20842785,0.19293247,0.17914934,0.17288195,0.17971872,0.19880313,0.22064108,0.23387475,0.2336692,0.22442068,0.21544866,0.21405719,0.22163546,0.23442708,0.2470717,0.25566483,0.25959948,0.26144496,0.2663671,0.27838016,0.2973676,0.31836987,0.33640197,0.3494164,0.3575689,0.35934785,0.35288218,0.33928832,0.32453874,0.31477022,0.3113563,0.30977973,0.30404365,0.29235837,0.2787204,0.26884282,0.26391056,0.25881287,0.24716888,0.22775887,0.20660363,0.19240648,0.18999837,0.19703221,0.20573306,0.20886958,0.2039416,0.19449295,0.18667746,0.18590848,0.19384837,0.20784189,0.22103755,0.2258573,0.2196243,0.21122463,0.21919404,0.26064977,0.33481678,0.41819432,0.4741533,0.47521058,0.41934404,0.33534443,0.26903674,0.2597863,0.31715682,0.4145883,0.50820166,0.56389517,0.5777607,0.5691493,0.5644276,0.5763212,0.60042256,0.6181064,0.61079127,0.5694764,0.5021221,0.43136966,0.3850923,0.38199362,0.41718546,0.46642676,0.5015137,0.5115611,0.50196505,0.48389485,0.46152356,0.43371937,0.39923525,0.3604467,0.3231478,0.29432726,0.2797718,0.2803619,0.29226935,0.30861688,0.3233783,0.33175835,0.3314101,0.3224449,0.3088386,0.29611227,0.28858128,0.2866768,0.28908095,0.2952628,0.3065792,0.3233666,0.34288886,0.3607558,0.37405384,0.3843467,0.3946383,0.4061316,0.41313612,0.4078137,0.38742372,0.3622999,0.34941328,0.35934845,0.38600197,0.41107425,0.41659,0.3955114,0.355234,0.3128078,0.28599218,0.28097185,0.2900045,0.2966513,0.2896037,0.26685804,0.23587817,0.20522463,0.1818975,0.16712908,0.15942337,0.15644616,0.16117536,0.18124004,0.22434802,0.2880963,0.35801587,0.41416112,0.4443847,0.44866887,0.43557605,0.41489732,0.3931719,0.3743007,0.35748482,0.34210873,0.32545593,0.30697265,0.2839476,0.25741455,0.23160087,0.21480125,0.21130498,0.21857834,0.22771011,0.22980107,0.21992429,0.19948363,0.17470376,0.15335791,0.14018172,0.13448614,0.13136588,0.1254311,0.115199685,0.105052106,0.10398314,0.118183196,0.14478539,0.17072837,0.18330069,0.17990245,0.17071544,0.16956456,0.18461181,0.21380301,0.24761434,0.27367222,0.28301227,0.2736816,0.25324434,0.23631687,0.2391922,0.26942185,0.31872436,0.36568037,0.390758,0.3893304,0.37292722,0.35779855,0.35455254,0.36375114,0.37788177,0.38617387,0.38059458,0.3614405,0.33730063,0.3209059,0.32138377,0.33844984,0.36105016,0.37297025,0.36336043,0.3332319,0.2947735,0.26243994,0.24678783,0.25119886,0.27398232,0.3071308,0.33830583,0.35424587,0.35109314,0.3372637,0.32879984,0.33670378,0.36049327,0.3899866,0.41123703,0.41329587,0.39374495,0.36410573,0.3451059,0.35231033,0.38105807,0.40808666,0.40914026,0.376829,0.32411733,0.27442035,0.24828808,0.2527229,0.27698812,0.2995621,0.3026674,0.28437522,0.2559809,0.23311734,0.2272898,0.24450314,0.28241432,0.32992652,0.37112275,0.39353967,0.3939884,0.37624705,0.3481606,0.31707683,0.2895424,0.2674226,0.24887429,0.2293952,0.20752959,0.18574898,0.16943301,0.16243374,0.16525875,0.17489178,0.18540627,0.18985969,0.18363297,0.16951942,0.15726475,0.1568671,0.16994365,0.1894272,0.20779316,0.22480585,0.24658577,0.27814332,0.31875035,0.36316445,0.40525734,0.43838188,0.45456776,0.4458517,0.40976515,0.35342506,0.29227296,0.24207984,0.21113622,0.19749351,0.19280791,0.1884623,0.17870991,0.16197157,0.13917999,0.114183865,0.09136667,0.07471981,0.06515764,0.061233718,0.060008783,0.05911954,0.05730037,0.054429427,0.050861474,0.047002837,0.043118414,0.039947268,0.03983691,0.047577024,0.06885644,0.10581887,0.15337886,0.20006059,0.23517142,0.25426397,0.2606237,0.2601603,0.25913498,0.26123974,0.26762044,0.2744366,0.27655992,0.271346,0.26241383,0.2555115,0.25391006,0.2557274,0.2569178,0.25394362,0.2455353,0.23177285,0.2149613,0.19848447,0.18611883,0.17863671,0.17424648,0.17014556,0.16594368,0.1638423,0.16675316,0.17530602,0.18691824,0.19752167,0.20485729,0.20954542,0.21366848,0.21787809,0.22191103,0.22622342,0.23313661,0.24366911,0.25485003,0.260627,0.2563892,0.2429784,0.22514921,0.20891203,0.19736747,0.19112284,0.18791603,0.18543339,0.1819377,0.17754276,0.17276633,0.16826181,0.16415064,0.16072458,0.15777689,0.15505554,0.15220992,0.14937621,0.14659257,0.14333737,0.13920116,0.1344136,0.13060957,0.12917787,0.13058569,0.13291027,0.13327564,0.12931326,0.121711195,0.11359734,0.10849286,0.107190765,0.10766592,0.10655018,0.10191196,0.09397739,0.084946394,0.07731499,0.0727684,0.071493,0.07246974,0.07417063,0.07533509,0.07544743,0.07484735,0.073957205,0.07293975,0.0712531,0.068604775,0.06494643,0.060856167,0.056772362,0.05313878,0.050069004,0.047620345,0.04549199,0.043361723,0.040909037,0.038291913,0.03582261,0.03381647,0.032189883,0.030733155,0.029365709,0.028310092,0.028001836,0.028779926,0.03080047,0.033641025,0.036519244,0.038439658,0.039089248,0.03889552,0.038733836,0.03918544,0.040186957,0.04141757,0.042183414,0.041869234,0.039698865,0.035767253,0.030746473,0.026044136,0.02251068,0.020535698,0.019719763,0.019701717,0.02001281,0.020436862,0.02069025,0.020679416,0.020285718,0.019553471,0.018582525,0.017697675,0.017253652]