[0.0006490677,0.0029349776,0.0113900555,0.031006968,0.064698264,0.10872296,0.15141131,0.17832595,0.18203343,0.16925353,0.1594581,0.17123914,0.21014148,0.2633792,0.31195414,0.3416189,0.3507016,0.3444492,0.3305025,0.3144596,0.300173,0.2887747,0.27878842,0.26673266,0.24990217,0.22811313,0.20388941,0.17960666,0.15675175,0.13620536,0.120895445,0.11227777,0.10864713,0.10443658,0.09958058,0.1022281,0.12391574,0.16609514,0.21566266,0.25426385,0.2711816,0.26996294,0.26159227,0.25713217,0.2617792,0.275251,0.2921319,0.303862,0.3023562,0.28547952,0.26017043,0.24013765,0.23692232,0.25312838,0.27972993,0.30436644,0.3179607,0.3202944,0.31502703,0.304817,0.2867273,0.25529596,0.20840795,0.15204376,0.099574454,0.06574159,0.06125165,0.08733699,0.13546626,0.18846439,0.230024,0.25157806,0.25653175,0.25322095,0.24820267,0.24226438,0.23458369,0.22679222,0.22259271,0.22256716,0.22115207,0.21201706,0.19425847,0.17445035,0.15853065,0.14878027,0.14420377,0.14795583,0.16465856,0.19620602,0.23505557,0.26926866,0.28820404,0.28853312,0.2718577,0.24376135,0.21320051,0.19397609,0.19793004,0.2259124,0.26127085,0.2807944,0.2710016,0.23877116,0.20218994,0.1754887,0.16279107,0.16342218,0.17858712,0.20832586,0.2471317,0.28399804,0.31004736,0.32295486,0.32592535,0.32257578,0.31535396,0.3061832,0.29806075,0.29369637,0.29370204,0.29572928,0.2957637,0.29228568,0.2866018,0.28248456,0.2796686,0.2761414,0.26916566,0.2613529,0.25576368,0.25394502,0.25314334,0.2511948,0.24684279,0.23997806,0.22946374,0.21702713,0.20827039,0.21131414,0.22948201,0.25805345,0.28676856,0.30660844,0.31495616,0.31455383,0.3103929,0.30560252,0.30170488,0.29839805,0.2947882,0.28863475,0.27805796,0.2628161,0.24536134,0.2286833,0.21329391,0.19686098,0.17829059,0.16242719,0.15775,0.16770883,0.18570335,0.2015266,0.21300463,0.22646295,0.24679299,0.26767185,0.27819744,0.27445188,0.26511908,0.26167145,0.26744714,0.27567813,0.27879855,0.27591363,0.27187505,0.26853922,0.26202607,0.24589682,0.21877587,0.18545115,0.15452416,0.13510229,0.13386746,0.15266243,0.18476413,0.21768893,0.23830865,0.24048428,0.22587448,0.2019828,0.17715819,0.15729503,0.14376967,0.13385345,0.1231666,0.108789705,0.091788046,0.07757073,0.07312233,0.082236655,0.10190944,0.12393411,0.14003555,0.1462505,0.14302097,0.1324775,0.11721865,0.100348406,0.08634166,0.07822758,0.07563534,0.0745626,0.072836004,0.073565416,0.082828484,0.10278696,0.12732875,0.14700466,0.15476732,0.15032363,0.13633376,0.116530836,0.0934731,0.070136346,0.049246203,0.03334154,0.024214847,0.02421916,0.037479673,0.06838237,0.11740228,0.17676133,0.23314023,0.27474377,0.2981698,0.3074737,0.30933368,0.30874833,0.30889335,0.31146392,0.31652266,0.32138836,0.32254407,0.31894013,0.31532055,0.3193551,0.33467576,0.35501412,0.36802647,0.3662192,0.3535932,0.34231055,0.34026992,0.34619913,0.35069644,0.3463262,0.33098534,0.30900034,0.28631672,0.2680939,0.25722882,0.25434104,0.2582258,0.26613343,0.27509686,0.28308812,0.28939024,0.29371452,0.29441953,0.2885137,0.27285734,0.2470835,0.21475303,0.18335287,0.16171576,0.1575185,0.17353986,0.20632668,0.24628372,0.28278956,0.30839,0.32187006,0.32606903,0.32520518,0.32226643,0.31836963,0.31349143,0.30744576,0.3010596,0.29565513,0.29262364,0.29246566,0.2947465,0.29780066,0.29924545,0.29693747,0.2899603,0.2790568,0.2659075,0.2527633,0.24140452,0.23297022,0.22675276,0.22106506,0.2139511,0.20606147,0.19983862,0.1984648,0.20217265,0.2097709,0.22016107,0.234371,0.2526317,0.2718173,0.28578845,0.28819156,0.2758952,0.24911892,0.21251051,0.17413282,0.1448282,0.13430007,0.14645465,0.17684676,0.21308607,0.2422198,0.2557411,0.25383464,0.24135874,0.2253262,0.21175848,0.20570952,0.20972566,0.2220874,0.23687099,0.24688633,0.2485704,0.24295314,0.23383303,0.22410154,0.216031,0.21225333,0.2156084,0.2263276,0.2402512,0.2515198,0.25681224,0.25788537,0.2589656,0.26262757,0.26793548,0.27207926,0.27392662,0.2744712,0.27563587,0.27722338,0.27726483,0.27348995,0.26573253,0.25687203,0.25123778,0.2529569,0.26224515,0.27574155,0.2872425,0.29184055,0.286649,0.27031487,0.24173932,0.2013486,0.15429902,0.11138614,0.08642431,0.08918878,0.11956272,0.16597806,0.21178502,0.24461602,0.26217428,0.2702684,0.2759123,0.28262702,0.28960133,0.2941537,0.29408708,0.28912124,0.2810231,0.27209234,0.2629292,0.25124082,0.23243062,0.20513238,0.17448086,0.15364732,0.15342496,0.17553602,0.20761216,0.23427661,0.24370317,0.23453335,0.2099783,0.17698795,0.14228328,0.113685764,0.09550045,0.08785338,0.086875565,0.09100559,0.10401619,0.13163684,0.17432572,0.22220403,0.26204857,0.28460374,0.2913694,0.28888044,0.28394425,0.27821445,0.26993108,0.25670224,0.23894535,0.22096221,0.20829807,0.20500487,0.21164383,0.2269026,0.24797647,0.270903,0.2903209,0.3024619,0.30655625,0.30506217,0.30020073,0.29367027,0.28620052,0.2788468,0.2714837,0.2630277,0.252187,0.2401967,0.23041897,0.22677805,0.22944544,0.23577386,0.24164762,0.24571615,0.24846852,0.251475,0.25536588,0.25970793,0.26303422,0.26333582,0.25965866,0.25259542,0.24340576,0.23082626,0.21099521,0.18125094,0.14666106,0.12097567,0.11880211,0.14483136,0.1889649,0.23456667,0.26958147,0.29354212,0.3121998,0.33003807,0.3457302,0.3557094,0.35864,0.35667264,0.35225907,0.3453002,0.33400318,0.31800023,0.29993567,0.2838465,0.27209476,0.26446274,0.25915372,0.2551898,0.25249508,0.2507408,0.24756293,0.24043047,0.2298248,0.22104792,0.22003348,0.22843693,0.2422086,0.25623,0.26789966,0.27711356,0.28334677,0.2858003,0.28467563,0.28209504,0.27917957,0.27500924,0.26794168,0.2594442,0.2545117,0.2575774,0.26831165,0.28062913,0.28765893,0.28526866,0.273849,0.2559875,0.23603745,0.21964799,0.2125865,0.21717899,0.22981697,0.24285595,0.24972095,0.24847198,0.24152969,0.23193395,0.22215568,0.21389087,0.21073942,0.2155186,0.22864543,0.24447767,0.25650528,0.26022604,0.25676626,0.24837543,0.23689587,0.22357589,0.21157229,0.20579803,0.20931427,0.22101913,0.23556007,0.2476328,0.25469133,0.25741354,0.25697806,0.25344226,0.24693774,0.23896855,0.23280399,0.23009376,0.23029597,0.23052235,0.22896667,0.22491865,0.2186646,0.20957507,0.19625016,0.17741568,0.1535577,0.12835164,0.10880861,0.10363045,0.118848,0.15318376,0.19688319,0.23652966,0.26275414,0.2735909,0.27170613,0.25912735,0.23750061,0.21192457,0.19254397,0.1885594,0.20075728,0.22103263,0.23968102,0.25225148,0.25908193,0.26094142,0.2575753,0.25005165,0.24218124,0.2369765,0.23417698,0.23020993,0.22421914,0.21920352,0.221402,0.23366307,0.25368404,0.2742503,0.28867698,0.29423594,0.29301548,0.28900555,0.28538716,0.2835753,0.28382644,0.28541097,0.28648654,0.28434396,0.27744925,0.2671297,0.25746945,0.25211206,0.25170738,0.25454137,0.25991094,0.26909867,0.28306675,0.2989551,0.31155363,0.31643155,0.3135498,0.30582565,0.29745528,0.2910477,0.28752062,0.28595603,0.28565422,0.28668824,0.29028285,0.2966993,0.30472353,0.31167135,0.31559595,0.31600294,0.3136791,0.30879354,0.30070403,0.28896055,0.27571324,0.26547804,0.26341954,0.271412,0.28679386,0.3029518,0.31381178,0.3162512,0.31032616,0.2964069,0.27576718,0.25372204,0.23981564,0.24233179,0.25986812,0.2832264,0.30191684,0.31309476,0.31896254,0.3229369,0.3248333,0.32192922,0.30957058,0.2827939,0.23987623,0.18743569,0.14240886,0.12516367,0.14640345,0.19868948,0.25976956,0.30809808,0.33414066,0.34260872,0.34277174,0.34142244,0.33976018,0.3358549,0.326736,0.3108883,0.2905903,0.27204117,0.26272738,0.26564488,0.27798736,0.2932446,0.30925173,0.3296641,0.3596928,0.39529833,0.4220499,0.42429924,0.39961958,0.3611971,0.32811117,0.3114134,0.30962583,0.3141966,0.31752023,0.3177935,0.31712985,0.3198972,0.3293408,0.34704962,0.36880958,0.38652658,0.39071897,0.37981546,0.3585918,0.3362529,0.31736955,0.30403674,0.29552278,0.29195,0.29137644,0.2901739,0.28304055,0.26664522,0.24288243,0.21928258,0.20495908,0.20378049,0.21319757,0.22766648,0.24447899,0.2626129,0.27945065,0.28796878,0.28120416,0.25670078,0.21927643,0.17763866,0.14163306,0.1202223,0.12084103,0.14612515,0.18987341,0.23756874,0.27303213,0.2874317,0.2820154,0.26462385,0.24301589,0.22173695,0.2010988,0.17880325,0.15258133,0.12441171,0.102407984,0.09647433,0.110518195,0.13767527,0.16562837,0.18619376,0.20139216,0.21803957,0.23977792,0.2620063,0.27827337,0.2855661,0.28747103,0.28816113,0.2892492,0.28856388,0.28368488,0.27321938,0.25688186,0.23582602,0.21629004,0.21174847,0.23645431,0.29110333,0.35573807,0.40104225,0.41119644,0.39341423,0.3681185,0.34934413,0.33835515,0.32777742,0.3113613,0.2860315,0.25333855,0.21855499,0.1930027,0.18993486,0.21589713,0.2631391,0.311093,0.34161797,0.3476785,0.33656862,0.31803778,0.30055943,0.28711283,0.27927518,0.27631733,0.2772248,0.279645,0.28111959,0.2784873,0.27004632,0.25609508,0.2402824,0.22703253,0.22056802,0.22253077,0.23248295,0.24699049,0.26149604,0.27252194,0.28047857,0.28836223,0.2982246,0.30795598,0.31311777,0.31058303,0.301904,0.29135004,0.28305814,0.27789024,0.27512932,0.2744238,0.27667287,0.28106463,0.28226468,0.27277866,0.24831872,0.21287055,0.17679147,0.1518944,0.14662044,0.16252272,0.19401176,0.22830875,0.2522178,0.25671187,0.24219328,0.21631996,0.19177814,0.18134339,0.19228286,0.22258484,0.26056615,0.29334882,0.31268322,0.31920055,0.3169466,0.31079766,0.30377355,0.30093834,0.30876648,0.3337812,0.37190688,0.40966758,0.427117,0.4173815,0.3853645,0.3469502,0.3115206,0.2842995,0.2650107,0.254576,0.2517915,0.25431657,0.26091567,0.2748151,0.3025593,0.34238163,0.38079914,0.3954983,0.3767817,0.33104226,0.2780274,0.23124315,0.1965354,0.17288561,0.15972556,0.15505321,0.15500428,0.15491717,0.1526599,0.15035178,0.15182538,0.15965547,0.17261434,0.18763085,0.20151895,0.21254198,0.21943772,0.22123063,0.21761298,0.20919289,0.19744831,0.18374754,0.16968472,0.15702164,0.14839794,0.14663346,0.15316302,0.1664025,0.18118231,0.19139308,0.19241244,0.18366091,0.16805594,0.15098207,0.1376353,0.13087523,0.13017552,0.13270575,0.13598825,0.14001893,0.14730825,0.16058461,0.17967604,0.2008881,0.2184471,0.22819819,0.22881748,0.22237147,0.21208309,0.20197482,0.1959001,0.19779561,0.20909749,0.22724545,0.24560039,0.2583998,0.26415488,0.26626804,0.26969984,0.27962175,0.3013433,0.33698758,0.3793163,0.4111439,0.4162948,0.39428484,0.3599647,0.3309327,0.31276593,0.3013591,0.29083607,0.28097448,0.2739844,0.2720702,0.27762744,0.29540572,0.3300052,0.37435326,0.40918925,0.41034064,0.37444222,0.31904995,0.2737824,0.25261497,0.25242874,0.2585195,0.25903654,0.2479607,0.22522537,0.19674815,0.17277086,0.16522849,0.1800489,0.21401696,0.2537813,0.28474936,0.2976766,0.2948159,0.28426203,0.2754751,0.27273154,0.27809122,0.29033944,0.3076892,0.32418028,0.3347412,0.33569905,0.3293791,0.31930152,0.30963483,0.30161548,0.29522422,0.28870687,0.2805982,0.27076375,0.2628999,0.26372015,0.28045893,0.30932888,0.33461428,0.33305314,0.29921097,0.24816455,0.2089374,0.19570081,0.20665795,0.23117499,0.26756778,0.31403744,0.36039093,0.3824384,0.3655708,0.3169615,0.26559052,0.23499085,0.22977845,0.23747437,0.24629636,0.25359464,0.26315495,0.278008,0.29873875,0.32670724,0.36264655,0.40247226,0.4336346,0.44410512,0.43145204,0.40680948,0.3847927,0.37398544,0.3729268,0.3750812,0.37422243,0.36807787,0.35860968,0.35210434,0.35643756,0.37623665,0.40557578,0.42971838,0.4334164,0.41453865,0.3823953,0.35006073,0.32198235,0.29631373,0.27041134,0.24805772,0.2374203,0.24492586,0.2681911,0.29588643,0.31413242,0.31583774,0.30348614,0.2864715,0.27380672,0.2704775,0.27563247,0.28497007,0.2934403,0.29864755,0.30145678,0.3038586,0.30631423,0.30726132,0.30620003,0.30536285,0.30868196,0.31719312,0.32688388,0.33021316,0.32077113,0.29699257,0.26274,0.22540545,0.19355047,0.17520265,0.17712437,0.20107411,0.24164408,0.2852538,0.3185626,0.33436075,0.33585227,0.32982245,0.32256046,0.31553364,0.3087633,0.30143583,0.29461753,0.28918114,0.28634796,0.28600857,0.28803086,0.29177797,0.29631117,0.30005088,0.30085015,0.29738322,0.28978816,0.28221583,0.28243384,0.2996948,0.33526278,0.37839463,0.40942731,0.4160416,0.4011656,0.37980556,0.3641381,0.35603094,0.35050026,0.3429257,0.3336494,0.32391226,0.31581607,0.31145155,0.3175142,0.33727875,0.3641053,0.3775494,0.36089835,0.31694105,0.2689485,0.24086922,0.23909509,0.2536908,0.27035615,0.2815449,0.28519368,0.28118107,0.26935124,0.25162044,0.23316109,0.21979451,0.21416484,0.21418642,0.21611537,0.21834272,0.22161563,0.22644831,0.23158681,0.23618585,0.24254103,0.25322273,0.26761988,0.27905104,0.28209317,0.27622572,0.26785013,0.26284912,0.26302168,0.26544085,0.26623616,0.26388,0.25918055,0.25424466,0.24992295,0.24592906,0.24150534,0.23692505,0.23351447,0.2328155,0.23641817,0.24517822,0.25911593,0.27566764,0.2905477,0.29901662,0.29870427,0.29038572,0.27746534,0.26480988,0.25685713,0.25583306,0.26018143,0.26553175,0.2677026,0.26516345,0.25898364,0.25103053,0.24239717,0.23395674,0.22636844,0.22066933,0.21693908,0.21460275,0.21234481,0.20965816,0.20680314,0.20454723,0.20258285,0.19989793,0.19501339,0.1875739,0.17773028,0.1667368,0.15563425,0.14570446,0.13676924,0.1280817,0.118432455,0.1087474,0.10188354,0.10179699,0.10981015,0.12350392,0.13716665,0.1460874,0.14838678,0.14557002,0.13961065,0.13204563,0.123737216,0.11550637,0.10785631,0.10029653,0.0921854,0.08349526,0.07560629,0.07005913,0.06735363,0.06697265,0.068798766,0.0750145,0.08774368,0.10655105,0.1257404,0.13898398,0.14287986,0.13963439,0.13304137,0.12605132,0.11948636,0.114025146,0.10978172,0.10621431,0.10229062,0.10035274,0.107225366,0.1292675,0.16409057,0.19801234,0.21679384,0.2175433,0.2109701,0.20951556,0.2157848,0.22343923,0.22607745,0.2258286,0.22988962,0.24399693,0.26569366,0.28743628,0.30120876,0.3042802,0.29827324,0.2877803,0.27600718,0.2631662,0.24501215,0.21939184,0.19311064,0.18640856,0.21798258,0.2874504,0.36655805,0.41972104,0.4287336,0.40221143,0.36015162,0.3161685,0.27363652,0.23405285,0.20225824,0.1847954,0.1831667,0.19376631,0.20973922,0.22494246,0.23264003,0.22854352,0.21497226,0.20689803,0.21968079,0.2568723,0.29953012,0.3262721,0.32662293,0.30944335,0.28437606,0.25499818,0.21925032,0.18214242,0.1561911,0.15376149,0.17763536,0.22216924,0.280466,0.34622827,0.40939727,0.45342186,0.46541333,0.44672862,0.4124421,0.37780893,0.34767732,0.31958976,0.2920661,0.26911148,0.2554977,0.25208303,0.25453392,0.25676215,0.25384024,0.24257863,0.22098625,0.18996018,0.15649918,0.13370045,0.13303454,0.15755689,0.19893777,0.24690087,0.2898371,0.3183757,0.32015613,0.29315516,0.24790488,0.20867781,0.19317496,0.20413981,0.22770202,0.24875216,0.2602549,0.2663792,0.2746887,0.28890833,0.30645558,0.32208344,0.33283243,0.3399228,0.34895357,0.36712205,0.39933345,0.43960953,0.47281018,0.48140538,0.46302596,0.42819867,0.39342356,0.36439764,0.33813974,0.30716762,0.26773533,0.22079587,0.17209744,0.13151184,0.1102412,0.117022246,0.1521595,0.20698948,0.26676503,0.32014748,0.35886824,0.37716246,0.36636642,0.3261955,0.26828033,0.21554422,0.18272507,0.16927452,0.16318204,0.15861975,0.16037948,0.1771708,0.20893909,0.2490567,0.2917309,0.3376452,0.3834426,0.4186351,0.42946017,0.41605142,0.390124,0.3665932,0.3481493,0.32921165,0.30152962,0.26307163,0.21736552,0.17520015,0.15164442,0.16367187,0.21747887,0.30093607,0.38238955,0.4307967,0.43479848,0.40914348,0.37906313,0.3621266,0.36264452,0.37641147,0.3956379,0.40943983,0.40598047,0.38272676,0.3520554,0.3368449,0.3487256,0.37814555,0.40006158,0.4003035,0.38412175,0.36982247,0.36744848,0.37452772,0.38154796,0.38268843,0.37823233,0.37198296,0.37013212,0.37975058,0.40642044,0.44538602,0.48118225,0.49437907,0.47908282,0.44245493,0.39711916,0.34662268,0.29191166,0.23919523,0.2034595,0.19612499,0.21492553,0.2436728,0.26288775,0.25985852,0.23381846,0.19547163,0.16273554,0.15481605,0.1800146,0.23125558,0.28524545,0.32106912,0.32967016,0.32006857,0.30505386,0.29379356,0.28732383,0.28297058,0.27630982,0.26124215,0.23542316,0.20600994,0.19373287,0.21893008,0.28356418,0.36334288,0.4240087,0.4466244,0.4338485,0.39967045,0.35270122,0.29857898,0.2446192,0.20218842,0.17663045,0.16397466,0.15533262,0.14881329,0.15027003,0.16644233,0.19438754,0.22342472,0.24278478,0.24803634,0.23936313,0.21940602,0.19511525,0.18143797,0.19311906,0.23431413,0.28918767,0.33636725,0.360175,0.36044756,0.34015596,0.3029007,0.2529732,0.20491935,0.17798299,0.18505526,0.22189756,0.27152207,0.31656227,0.348372,0.36615825,0.37140015,0.36691716,0.36079192,0.36504307,0.38587558,0.41489527,0.43369102,0.43135217,0.41203892,0.39023736,0.37431398,0.36412728,0.35476628,0.34511235,0.33681163,0.33097944,0.32427284,0.3096669,0.2798938,0.23322713,0.17800939,0.13185287,0.11533209,0.13843024,0.1940531,0.25706783,0.30090904,0.30800033,0.27905336,0.22528213,0.16468513,0.11414505,0.08713014,0.08761119,0.108159006,0.13409595,0.15508987,0.17621265,0.21333039,0.2751914,0.34903327,0.40835407,0.43582138,0.4324894,0.40926465,0.3719583,0.32521212,0.2814031,0.25935295,0.26929644,0.3018436,0.3393543,0.37085268,0.4004765,0.4318991,0.46069327,0.47481108,0.47335115,0.4677018,0.47100878,0.48167655,0.48603365,0.47489142,0.45091322,0.42443728,0.40040436,0.3801802,0.36561,0.36044744,0.36436546,0.36998484,0.37145483,0.36972976,0.37275347,0.38420472,0.40076232,0.41514984,0.42388716,0.4271109,0.4246385,0.4144965,0.39657834,0.3757161,0.3585082,0.34747645,0.33817378,0.3231866,0.29875028,0.26965177,0.24645175,0.23879685,0.24905927,0.2753071,0.31478095,0.3643631,0.41447818,0.4507704,0.4635881,0.45646036,0.44213632,0.43229017,0.4305025,0.43601653,0.44479322,0.45383522,0.458043,0.45693162,0.45225298,0.4497409,0.45151782,0.45661554,0.46103,0.46223104,0.4600102,0.45540643,0.4498988,0.4457279,0.44735327,0.45899686,0.47886935,0.49714312,0.50085944,0.48590124,0.45969054,0.4355863,0.42118752,0.41706622,0.4207777,0.43163624,0.44595203,0.4566472,0.45594314,0.44764426,0.4422207,0.4476839,0.45582414,0.45220354,0.4310073,0.40338287,0.38603273,0.3865507,0.40064886,0.42033458,0.43945205,0.45427367,0.45997098,0.45558628,0.4434967,0.43033782,0.41924366,0.41126922,0.4054644,0.4028245,0.40415168,0.4088544,0.4143845,0.41837153,0.42047644,0.42211315,0.4241972,0.42550233,0.4250606,0.42546138,0.43390116,0.45326015,0.4772315,0.4913528,0.48872802,0.47470102,0.4624592,0.4582351,0.45985535,0.46258,0.46559858,0.4697359,0.47375444,0.47617722,0.4786524,0.48518744,0.4941605,0.49798718,0.4884763,0.46935675,0.4512305,0.44450012,0.44741964,0.45389,0.45827913,0.4611371,0.46353862,0.46532044,0.46542645,0.46353996,0.46091,0.45797297,0.45567814,0.45567143,0.46183953,0.47702333,0.49720445,0.51157826,0.5076788,0.48531094,0.45518455,0.4329364,0.42355955,0.42511785,0.4335918,0.45099285,0.47587156,0.50011784,0.5110064,0.5059074,0.49397483,0.48567238,0.48081496,0.4701256,0.45073545,0.42986286,0.4192169,0.42112982,0.4299831,0.4388983,0.44602504,0.45197138,0.4554894,0.45508453,0.45296362,0.4559026,0.46755454,0.48257014,0.48872042,0.47885373,0.457348,0.436317,0.4245962,0.42311403,0.42813578,0.43582413,0.4433426,0.44804505,0.44954133,0.4513382,0.4588958,0.47277483,0.48649025,0.49064922,0.4832197,0.47064877,0.46213076,0.4604245,0.46330515,0.46929768,0.4803033,0.4939394,0.50003,0.4857081,0.45166254,0.41316092,0.39028347,0.38913074,0.40206265,0.41691813,0.4279956,0.43494713,0.43838647,0.43881476,0.43779787,0.4369874,0.4359734,0.43268666,0.42754856,0.4234382,0.42398885,0.42835426,0.43348375,0.43664637,0.44110885,0.4519808,0.46898493,0.48065615,0.47259626,0.44263718,0.4055954,0.38099936,0.37651566,0.38658023,0.40400472,0.42749882,0.4562018,0.48280632,0.49736056,0.49922442,0.4976633,0.49980155,0.49898794,0.4809896,0.4416732,0.39445508,0.3602213,0.35033867,0.3607403,0.3804799,0.4005542,0.41817412,0.43199754,0.4412311,0.4458896,0.4486269,0.45221627,0.45626175,0.45796362,0.45560047,0.45115384,0.44620386,0.44072583,0.43338808,0.42908502,0.43482482,0.45369223,0.476851,0.49144146,0.4933168,0.49081197,0.4948225,0.5044131,0.5088627,0.49927387,0.47887233,0.4580224,0.44510996,0.44209835,0.44864008,0.4638245,0.48336104,0.49771747,0.497515,0.48448548,0.47100973,0.46978557,0.47849068,0.48359045,0.4736453,0.45286226,0.4340756,0.42666098,0.42931986,0.4372696,0.44860244,0.46234277,0.47366026,0.47431532,0.46251914,0.4452928,0.43250498,0.42704198,0.4253296,0.42658654,0.43453756,0.45164552,0.46972466,0.4770459,0.4682795,0.44996476,0.4270045,0.39549983,0.34533393,0.27929378,0.21506566,0.17589945,0.16995044,0.18675931,0.20469196,0.20526342,0.18158907,0.13925655,0.092891306,0.058851246,0.0496816,0.068293035,0.107463695,0.1511525,0.18208997,0.18788208,0.16690946,0.1271269,0.0833847,0.051003467,0.041789513,0.05881038,0.0956035,0.13664119,0.16505022,0.16985136,0.15181188,0.1208871,0.09062794,0.07225347,0.07121808,0.08483636,0.104231186,0.1224064,0.14459366,0.18647455,0.25621256,0.33959255,0.40454662,0.4299492,0.42008817,0.39941776,0.38607493,0.38240734,0.37995306,0.37308624,0.36195004,0.34724936,0.32818574,0.30648395,0.2920017,0.2956334,0.31880677,0.34832898,0.37001872,0.38051286,0.38758576,0.39660537,0.40381277,0.40345255,0.39603388,0.3877238,0.38052455,0.37038162,0.35478416,0.34066454,0.33958903,0.3557662,0.38049722,0.40282714,0.41966403,0.43591094,0.45205,0.46104398,0.4565631,0.4424516,0.42914423,0.42205846,0.41864398,0.41513714,0.41468903,0.42075518,0.43110585,0.43623734,0.43416515,0.4329876,0.44201925,0.4566679,0.45920637,0.4394889,0.40419522,0.37351927,0.35775444,0.35434902,0.35386452,0.35483718,0.36033487,0.3706981,0.37871644,0.37891588,0.3730286,0.36823583,0.3662649,0.36224017,0.35214975,0.34217253,0.34418845,0.3639222,0.39335692,0.4191124,0.43304417,0.435601,0.42866048,0.41322473,0.39424375,0.3839017,0.39175466,0.4133685,0.4300529,0.42838633,0.41185868,0.3972933,0.3946965,0.39979568,0.40228868,0.39914465,0.39586687,0.39682636,0.39921212,0.39833775,0.39463878,0.39337608,0.3959383,0.3973912,0.39308998,0.38567507,0.38205948,0.3838798,0.3854928,0.3815656,0.37467146,0.37094197,0.3711168,0.36722174,0.35346806,0.33488667,0.32480457,0.32971275,0.34300277,0.3549291,0.36663386,0.38647857,0.41487658,0.43717036,0.44028738,0.42717347,0.4142282,0.41190824,0.4165313,0.42024937,0.42238387,0.42718711,0.43151048,0.42456985,0.4022831,0.3788389,0.37450424,0.3941215,0.4183979,0.42558026,0.41122642,0.39021984,0.3764079,0.3709974,0.36884975,0.37023935,0.38073862,0.40136865,0.42431965,0.44349194,0.46046758,0.4796386,0.49519327,0.49223867,0.46401823,0.4211667,0.3862693,0.37194502,0.3757297,0.38563907,0.39508346,0.4026974,0.40863645,0.4104847,0.41043258,0.41624656,0.43419924,0.45820686,0.47216678,0.4659998,0.444643,0.42255378,0.40755332,0.39639768,0.38334915,0.37014928,0.36521915,0.37251568,0.3858873,0.39417294,0.39253855,0.3837763,0.37195733,0.3554921,0.33430436,0.316291,0.31457388,0.3331044,0.35968256,0.3789079,0.38677242,0.3935759,0.40720642,0.4231372,0.43019488,0.4243122,0.41274974,0.4044031,0.40280762,0.407514,0.41993114,0.43957964,0.45887348,0.4635717,0.4478704,0.42110682,0.40070853,0.393599,0.39122024,0.38336027,0.37182975,0.36911532,0.3811803,0.40156248,0.4198078,0.4350357,0.45015684,0.46183172,0.45603406,0.42727157,0.38650492,0.3562573,0.34811714,0.3559072,0.3663796,0.37327182,0.38115057,0.39314118,0.4061762,0.41410193,0.4176282,0.4223043,0.43019482,0.43496844,0.4307848,0.42107734,0.4174935,0.42611596,0.44071653,0.4480882,0.44189966,0.42554533,0.40704134,0.39137948,0.3832358,0.38875,0.40988162,0.4375832,0.45303988,0.44682646,0.42604133,0.41030654,0.40984133,0.4204487,0.42963335,0.4311224,0.42685926,0.42114452,0.4157133,0.4119537,0.4152781,0.42908764,0.44798407,0.45591164,0.4431857,0.415666,0.3912972,0.38051656,0.37928438,0.37819645,0.3751631,0.37546122,0.38081923,0.3852435,0.38237992,0.37476864,0.37053993,0.37350073,0.37870646,0.3827455,0.39088807,0.4105244,0.4374502,0.45370772,0.44667605,0.42114225,0.3962272,0.38419005,0.38338444,0.3850517,0.38615963,0.3899111,0.3981154,0.40787414,0.41643107,0.42745304,0.44367263,0.46011844,0.4625602,0.44739476,0.42756715,0.42388105,0.43967426,0.457732,0.45883,0.44160342,0.4201539,0.40524474,0.395844,0.3878295,0.3857565,0.39722,0.42068347,0.44003466,0.44151843,0.42606917,0.40936399,0.4040817,0.40938413,0.41613296,0.41716614,0.4135557,0.40815902,0.40247348,0.39508533,0.3849193,0.3707119,0.3521041,0.3300686,0.30865672,0.29169115,0.28061196,0.27293256,0.26483414,0.25284585,0.23513174,0.21229671,0.18737286,0.16492534,0.14920473,0.14384614,0.15132898,0.1715113,0.1995366,0.22708575,0.24697876,0.25702742,0.25967526,0.25800976,0.25333732,0.24496223,0.2323428,0.2156126,0.19674474,0.17909788,0.16810532,0.16782302,0.17885427,0.19578676,0.21153884,0.22105807,0.2249508,0.2264663,0.22776867,0.22691463,0.21981792,0.20478934,0.18545228,0.1695958,0.16405605,0.17186768,0.19115172,0.21681438,0.24066146,0.25431386,0.25272456,0.2380719,0.2179661,0.20115824,0.19273143,0.19476895,0.20698331,0.22861381,0.2557725,0.28299427,0.3036816,0.31398746,0.31283605,0.30253303,0.28752804,0.2725815,0.26080194,0.25265354,0.24781378,0.24627917,0.24846518,0.2539158,0.26136836,0.26974,0.27861896,0.28790495,0.2969317,0.30483255,0.31109342,0.31618923,0.3208501,0.32508442,0.32774016,0.3274552,0.32385457,0.31763223,0.3094864,0.29953328,0.28780392,0.2751387,0.26282895,0.25161257,0.24120587,0.23124482,0.22234154,0.21569835,0.21113373,0.20597981,0.19722843,0.18560617,0.17772259,0.1811703,0.19823597,0.22159462,0.24067597,0.24892925,0.24912071,0.2481109,0.2500076,0.2523227,0.25015536,0.24141107,0.22867139,0.21542172,0.20439033,0.19795679,0.19976912,0.2120959,0.23235524,0.25395563,0.270411,0.27983025,0.2839272,0.2857245,0.28709298,0.2884929,0.28892258,0.28559414,0.2753838,0.257124,0.23478873,0.21539783,0.2050777,0.20398264,0.20813192,0.21212603,0.21304496,0.20955251,0.20283604,0.19570917,0.19300292,0.19745325,0.20865375,0.22179233,0.23283291,0.23951732,0.24308681,0.24339074,0.23912252,0.22843309,0.21433675,0.20370805,0.20296168,0.21131456,0.22146755,0.22622181,0.22507598,0.22357917,0.22888702,0.24624364,0.28046414,0.3294777,0.3808082,0.4098691,0.4004116,0.3560013,0.30062637,0.2561561,0.22940516,0.21344207,0.20068254,0.1911717,0.18918526,0.19942968,0.22356226,0.26419282,0.31799063,0.37270117,0.40467227,0.3984834,0.35797545,0.3067244,0.2661721,0.24330117,0.23141263,0.22247235,0.213354,0.20488892,0.19816639,0.1933174,0.18992953,0.18783216,0.1871885,0.18814309,0.19034857,0.19269352,0.19413967,0.19424118,0.19364347,0.19297397,0.19272406,0.19257057,0.19244029,0.19216774,0.19190724,0.191278,0.18948911,0.18564971,0.17920303,0.1704973,0.16037114,0.15037204,0.1419278,0.13605277,0.13348544,0.13498653,0.14151014,0.1509945,0.15926099,0.16192538,0.16188721,0.16606063,0.18022312,0.1998322,0.21620198,0.22389655,0.22807585,0.23675914,0.2535518,0.2729524,0.28693333,0.28975415,0.28067622,0.26153103,0.23660927,0.21315189,0.19978106,0.20174462,0.21834117,0.2462179,0.28565478,0.33630562,0.3898193,0.42535615,0.42590782,0.39212683,0.34446123,0.30456254,0.28154814,0.27123687,0.2659882,0.26125428,0.25602576,0.2525485,0.2569579,0.2784846,0.31923628,0.36519372,0.38787436,0.36677536,0.30866,0.24486344,0.20572059,0.19834816,0.20920275,0.22022839,0.22384012,0.22157519,0.21873055,0.21773529,0.21901883,0.22137213,0.2242018,0.22631277,0.22683333,0.22495814,0.22115631,0.2165085,0.21253587,0.21093087,0.2137251,0.22312784,0.23968482,0.26260653,0.29060245,0.32537797,0.36621475,0.40436825,0.42237833,0.4107052,0.38185322,0.3621558,0.36610332,0.37994215,0.37890813,0.35266557,0.31412253,0.28158653,0.2613757,0.24762313,0.23410796,0.22195643,0.21640754,0.22107625,0.2375756,0.2683654,0.31354514,0.36333406,0.3965232,0.39515123,0.3601767,0.31213853,0.27372482,0.25336286,0.24471726,0.23639052,0.22199519,0.20162378,0.18186228,0.17344229,0.18926686,0.23479146,0.30000946,0.35938916,0.38879284,0.38282034,0.35700932,0.33216873,0.31868446,0.31457147,0.3136634,0.3117682,0.3079507,0.30415735,0.30664858,0.32497615,0.3626168,0.40950918,0.4419062,0.44149336,0.40845108,0.36294055,0.32567367,0.30586436,0.2991743,0.29887,0.2999998,0.30162272,0.30349675,0.30896005,0.3237066,0.35082555,0.3835477,0.40415457,0.39835575,0.36629423,0.32491398,0.29289344,0.27957726,0.2832486,0.29670534,0.31303322,0.32546064,0.3308828,0.33038732,0.33275756,0.34495047,0.36663362,0.38348308,0.381953,0.3582866,0.3250269,0.2963586,0.2797061,0.27214766,0.26800656,0.26227018,0.25205615,0.23807721,0.22711413,0.23155837,0.2585099,0.3010756,0.33684444,0.3456492,0.32313263,0.28438416,0.24850889,0.22713606,0.22126573,0.22823048,0.24470918,0.26675236,0.28777367,0.3019714,0.30689156,0.30486146,0.29981485,0.29511943,0.29257938,0.2923424,0.2930068,0.29216415,0.28819063,0.28167284,0.27464625,0.26949129,0.2673868,0.26912192,0.27449527,0.28228217,0.28948835,0.29293087,0.29087007,0.28385797,0.27359736,0.2617356,0.24947184,0.23814215,0.22931892,0.22425991,0.22237484,0.22122385,0.21757703,0.21062332,0.20214655,0.19552805,0.19253175,0.1931477,0.19590957,0.19934803,0.20204753,0.20340395,0.20327216,0.20218086,0.2002203,0.19765317,0.19464202,0.19178085,0.18937588,0.18734801,0.18515277,0.18209629,0.1779232,0.17312294,0.1688646,0.16617958,0.165307,0.16565849,0.16647805,0.16734256,0.1682081,0.16901952,0.170119,0.17293073,0.18061246,0.1963029,0.220739,0.2504497,0.2795776,0.30255988,0.3158917,0.317557,0.30703118,0.28671822,0.26279157,0.24283575,0.23072267,0.22441255,0.218765,0.21222655,0.20895095,0.21466339,0.23003437,0.2491072,0.26482785,0.27372658,0.27721736,0.27882814,0.28408864,0.30014727,0.33074024,0.36932313,0.3982383,0.40060997,0.37286654,0.32641318,0.27755386,0.23715888,0.20983337,0.19696425,0.19936503,0.21453589,0.23700084,0.26065305,0.284938,0.31163445,0.33836713,0.35319078,0.34472,0.31514192,0.28146955,0.26178032,0.26029506,0.26907107,0.2778513,0.28296825,0.28567362,0.28747466,0.2882483,0.28631818,0.28054014,0.26871026,0.25048903,0.2274072,0.2061043,0.19185768,0.18660986,0.1853711,0.18435842,0.18364702,0.18872172,0.20259815,0.22339283,0.24593355,0.2686658,0.29304597,0.31796417,0.33534303,0.3382721,0.33159128,0.32968056,0.33951274,0.3490611,0.33868828,0.30368915,0.26028556,0.23061295,0.22226274,0.22817117,0.23688315,0.24339078,0.24745917,0.2491405,0.24686943,0.23930068,0.22827746,0.2180411,0.21325381,0.21555042,0.2234863,0.23382813,0.24386649,0.2520232,0.2575315,0.26042855,0.26111385,0.25991997,0.25792053,0.25916764,0.27249637,0.30344284,0.34529388,0.3757801,0.3741044,0.3376758,0.28554937,0.24129678,0.2164647,0.20814328,0.2073623,0.20765318,0.20646511,0.20520283,0.20929797,0.2281297,0.26794127,0.32243073,0.37053347,0.39013648,0.3758962,0.3429121,0.313086,0.29866254,0.29886922,0.30585513,0.31147084,0.3105425,0.30197763,0.28913358,0.27663115,0.26713857,0.2592732,0.24960274,0.23667757,0.22376126,0.21773821,0.22307746,0.23786019,0.25446332,0.26590636,0.26982665,0.26820505,0.26518774,0.26643518,0.2800101,0.31042978,0.35152245,0.38540018,0.39727083,0.3908436,0.38470817,0.3918927,0.4037484,0.4000326,0.3689921,0.3171525,0.26024535,0.21103998,0.17614646,0.15887266,0.16064708,0.1791083,0.20781086,0.24095364,0.27828202,0.32243666,0.36954132,0.4041288,0.40893683,0.38039386,0.3336223,0.2902,0.26485458,0.2619332,0.28272617,0.32465145,0.37650934,0.41677234,0.4291061,0.41814306,0.4047377,0.40363228,0.40614077,0.39287904,0.35613468,0.30872178,0.26942548,0.24651726,0.23646075,0.23200975,0.22915085,0.22679763,0.22506405,0.22392063,0.22169189,0.2154215,0.20309263,0.18700005,0.1725472,0.16428329,0.16213189,0.16243082,0.1611225,0.15691753,0.15121152,0.14636941,0.14352484,0.14278685,0.14438528,0.14953612,0.15784349,0.16611658,0.16922587,0.16645497,0.16294234,0.16753924,0.18421678,0.21020031,0.23735897,0.25948298,0.27388167,0.28203258,0.2859027,0.28786448,0.28933185,0.2914776,0.293897,0.29473314,0.29095516,0.27998647,0.262028,0.23950046,0.21586545,0.19264986,0.17223369,0.15938246,0.16067825,0.17845792,0.20749973,0.2383378,0.2618965,0.27225694,0.26539183,0.24163978,0.2081749,0.17849123,0.16401194,0.16650078,0.17726143,0.18639989,0.19120823,0.19704656,0.20954473,0.22747912,0.24306536,0.24694847,0.23452808,0.20768638,0.17577076,0.1515099,0.14679675,0.16477238,0.19906682,0.23530807,0.26129797,0.27153638,0.27037084,0.2651879,0.26157558,0.2592901,0.2550116,0.24643342,0.23489226,0.22431332,0.21784182,0.2161485,0.21803339,0.22229145,0.22809015,0.23449393,0.23956935,0.24156244,0.23932736,0.23361711,0.22590278,0.21842776,0.2130199,0.21119785,0.21361433,0.21985476,0.22864486,0.23804398,0.24646027,0.2526852,0.25631523,0.25736594,0.2563835,0.25414804,0.25132287,0.24825452,0.24494065,0.2413076,0.2372004,0.2323287,0.22663997,0.22043824,0.21489103,0.21124975,0.21081306,0.21380413,0.21960646,0.22643016,0.23252966,0.23675121,0.23926306,0.2407193,0.24174745,0.24214077,0.24171822,0.24018104,0.23798461,0.23536156,0.233051,0.23140544,0.23075978,0.23074156,0.23090522,0.23144577,0.23315166,0.23694414,0.24205047,0.24624814,0.24611638,0.23988926,0.22868688,0.21708493,0.20998554,0.20981936,0.21525949,0.22346099,0.23225407,0.2409847,0.24913757,0.2558841,0.25997725,0.26118305,0.26000467,0.2577848,0.25506815,0.25180653,0.24739695,0.24198662,0.23630954,0.23098183,0.22612424,0.22160767,0.21798597,0.21594162,0.21576212,0.21681593,0.21819152,0.21939273,0.22035182,0.22097455,0.22069682,0.21876688,0.21532881,0.21169817,0.21015252,0.21191174,0.21657097,0.2221073,0.22689287,0.2304954,0.23344223,0.2361064,0.23784582,0.23789902,0.23575181,0.23235983,0.22891504,0.22701938,0.2272503,0.22994131,0.23439258,0.2397572,0.24492891,0.24915595,0.2518252,0.25293148,0.2535855,0.25591817,0.26098654,0.2676065,0.27278098,0.27469537,0.27330813,0.2696943,0.26436627,0.25822684,0.25326896,0.25193605,0.2542027,0.25668228,0.25557598,0.25134385,0.24903186,0.25352058,0.2640076,0.27550516,0.28310466,0.28629458,0.2862617,0.28404498,0.27850807,0.26815018,0.25150692,0.23109923,0.21649285,0.22501665,0.269499,0.34449694,0.42239594,0.47149804,0.47730172,0.44743696,0.39744678,0.336701,0.269738,0.2055449,0.15921104,0.1425588,0.1539173,0.17940013,0.20289023,0.21499328,0.21288083,0.19650197,0.16822736,0.13740496,0.11894206,0.12452153,0.15211111,0.18738888,0.21443777,0.22529398,0.21979272,0.20017304,0.17009453,0.13767588,0.1162164,0.11655263,0.14109592,0.18445574,0.2433586,0.31604695,0.39557755,0.46250334,0.4968597,0.49322772,0.46350846,0.42279983,0.37776566,0.32982826,0.28398484,0.249453,0.2329913,0.2330085,0.24239774,0.25237247,0.25615287,0.24822639,0.22609109,0.19246228,0.15762162,0.13624626,0.13833459,0.16170955,0.19040298,0.20552258,0.19585635,0.16561474,0.1289653,0.10194979,0.09382278,0.10642079,0.13542517,0.17462032,0.21720473,0.26002303,0.30172527,0.3420619,0.37740612,0.4048606,0.42455456,0.44015443,0.45330754,0.46232274,0.4676657,0.47576454,0.49464917,0.52084166,0.5394942,0.534391,0.5078153,0.47587848,0.4573877,0.4531785,0.45015883,0.42876363,0.3792766,0.3053414,0.22389781,0.15574695,0.118130095,0.117833376,0.150953,0.20338272,0.25726238,0.29669452,0.31393588,0.3079838,0.28255108,0.24431215,0.20418149,0.17449634,0.16174442,0.16175027,0.16377716,0.16238494,0.16231413,0.17223765,0.19467245,0.22653611,0.26868877,0.32616052,0.3964616,0.4599878,0.4928184,0.48859712,0.46329892,0.43769765,0.41831267,0.40090096,0.38471055,0.37827316,0.3866397,0.40150192,0.40800342,0.40467453,0.40654752,0.42702055,0.45835996,0.4791843,0.48088303,0.4766614,0.48361874,0.5004112,0.51062554,0.50544196,0.49027547,0.47477362,0.45639506,0.43068922,0.4041586,0.39558527,0.41258845,0.43984094,0.4514914,0.44110727,0.42486012,0.42381164,0.4392846,0.458818,0.4706457,0.4736457,0.47064078,0.4626859,0.45400026,0.45392504,0.47172126,0.50024706,0.5188702,0.5076305,0.4701487,0.42664537,0.39582822,0.37459883,0.34751263,0.30533656,0.25727803,0.22146581,0.20815702,0.21181859,0.21807504,0.21520673,0.20081347,0.18070823,0.16532171,0.16643174,0.18999757,0.23131768,0.27302858,0.29774687,0.2985325,0.2841644,0.26837176,0.26015544,0.2592713,0.26018173,0.25632173,0.24172592,0.21614696,0.19022648,0.18828617,0.23239851,0.32163537,0.42379692,0.49639425,0.51834446,0.49823818,0.459286,0.41455877,0.3666602,0.31506762,0.2655768,0.22369884,0.1908335,0.16471107,0.14727171,0.14522882,0.1633154,0.19658847,0.23161851,0.25607452,0.26476824,0.25970986,0.24532612,0.22838122,0.21883754,0.22641039,0.2530603,0.2885119,0.3177956,0.3308989,0.32676792,0.30731252,0.2742567,0.23246706,0.19442685,0.17616749,0.1866395,0.22108412,0.26447797,0.3022494,0.3274276,0.3402829,0.34408775,0.34451044,0.35261253,0.37968966,0.42562738,0.4718443,0.49394798,0.4835025,0.4530079,0.42331508,0.40308627,0.38937655,0.3746592,0.3578658,0.34179425,0.3317511,0.33323178,0.35221568,0.38870648,0.4282321,0.4461119,0.42433763,0.37372002,0.32402766,0.3019596,0.30466974,0.3110275,0.29861423,0.26250336,0.21040434,0.15789084,0.12067463,0.11306826,0.13916309,0.18859158,0.23843725,0.27236465,0.2951595,0.32828903,0.3837051,0.44755387,0.49113312,0.49836254,0.4742185,0.4332359,0.38365826,0.33179536,0.2904149,0.27728447,0.30012003,0.34794462,0.4004149,0.444531,0.47988963,0.5078483,0.5228936,0.5190056,0.5035422,0.4942604,0.5011094,0.5144922,0.51585335,0.50006574,0.47727403,0.4617181,0.45530084,0.45310524,0.45167926,0.45318028,0.45939183,0.46621072,0.46922675,0.4678677,0.46701872,0.46910894,0.47205174,0.4727007,0.47261333,0.4770863,0.48879993,0.5031002,0.5102113,0.50033635,0.4700885,0.42320737,0.37001503,0.3209701,0.28409207,0.26218227,0.25468412,0.2585545,0.27140132,0.29655132,0.33954585,0.40068415,0.46362576,0.5057265,0.51330346,0.49441883,0.46784934,0.44842902,0.440117,0.44171956,0.45183074,0.46742654,0.48215568,0.48873866,0.48581293,0.47809124,0.47330567,0.47402772,0.47812906,0.48058462,0.4804941,0.48033538,0.4849044,0.49716482,0.5190173,0.5484881,0.5767839,0.5887513,0.5730944,0.5349483,0.49375176,0.46965873,0.46857318,0.48493847,0.5105765,0.54026717,0.5661571,0.57783407,0.5701843,0.55411553,0.5469299,0.554776,0.5624421,0.5498147,0.51359135,0.47119558,0.44459367,0.441645,0.45472977,0.47142506,0.48376894,0.49102148,0.49392143,0.49404144,0.49128357,0.48659554,0.4793218,0.4693519,0.45730194,0.44780996,0.44700578,0.45932886,0.4826912,0.50841665,0.5255637,0.52755666,0.5159938,0.49893785,0.48681703,0.48942974,0.5119174,0.54861784,0.5824945,0.5942177,0.57938886,0.5494122,0.5225239,0.50654584,0.50034046,0.49836946,0.49912286,0.5026427,0.51030785,0.52365357,0.5459152,0.57739896,0.6098023,0.6274039,0.61775595,0.58584917,0.5493345,0.5261171,0.51886517,0.5208649,0.5235718,0.5248124,0.5250618,0.52570814,0.5262427,0.5262398,0.52467376,0.52297044,0.5238928,0.5328465,0.5535333,0.5848256,0.6161166,0.6319786,0.6219995,0.5907634,0.5535295,0.52461976,0.5086541,0.5047712,0.5133919,0.5344826,0.5602208,0.57548636,0.570951,0.5555622,0.54783714,0.5564311,0.568489,0.56479985,0.54056436,0.5091541,0.4870347,0.4784398,0.4779015,0.48064205,0.4870375,0.4987197,0.5137189,0.531106,0.5537041,0.5845039,0.61679626,0.6346821,0.62578905,0.59425634,0.5563924,0.52658087,0.50662893,0.49244127,0.48281336,0.48103014,0.48780155,0.49754238,0.50671226,0.5185371,0.5404694,0.5684326,0.5870595,0.5798938,0.54918355,0.51202613,0.48833218,0.48532996,0.5012209,0.5313415,0.5696201,0.6028125,0.6124027,0.58756137,0.53822255,0.48862156,0.4598627,0.45495436,0.46435484,0.47818795,0.4926904,0.5072248,0.5188331,0.5241491,0.5211176,0.511627,0.49811077,0.48354733,0.46905553,0.4567666,0.4488164,0.44812405,0.45571414,0.47127476,0.49527058,0.5267237,0.55827856,0.5744207,0.5627801,0.5284699,0.49218893,0.47476637,0.48073295,0.5024461,0.5314471,0.5639022,0.59490865,0.6149294,0.61854154,0.6128483,0.6116939,0.61868984,0.62038213,0.60004693,0.5570519,0.50802374,0.47262502,0.4576932,0.45863995,0.46821845,0.4831141,0.5020388,0.52076703,0.5334031,0.53619033,0.5306366,0.52097017,0.50984144,0.49796578,0.4854314,0.4739009,0.46526802,0.46151987,0.4662206,0.48501834,0.52056473,0.56483525,0.600367,0.6139166,0.6091581,0.6016767,0.6007133,0.5992515,0.5845099,0.55429924,0.5198079,0.49463108,0.48500752,0.4906381,0.5094316,0.53754956,0.5663248,0.5843937,0.5864758,0.58022505,0.578474,0.58561903,0.59130245,0.5823647,0.55760336,0.528076,0.5063833,0.49629557,0.4974586,0.5102094,0.5350247,0.56513286,0.58666664,0.58925486,0.57537717,0.5569893,0.54357386,0.53568405,0.531756,0.5353737,0.5514471,0.5753781,0.59158295,0.58841735,0.5713833,0.5555783,0.5445679,0.52273935,0.47538948,0.41303417,0.36594653,0.35634184,0.37386963,0.388858,0.376518,0.33555296,0.27921036,0.22454877,0.18541235,0.17542046,0.20183845,0.25873253,0.3211504,0.3601935,0.35750422,0.31699216,0.25507757,0.19370538,0.15212984,0.14839154,0.18917513,0.26430872,0.3435272,0.3957033,0.4041965,0.37510642,0.32440245,0.2688341,0.22257702,0.20131809,0.2144949,0.25536624,0.29936913,0.32607237,0.34002164,0.36587748,0.41941205,0.48472524,0.5306765,0.53930956,0.52196085,0.5003681,0.48723245,0.47948715,0.47037455,0.45744547,0.44315612,0.42959073,0.41753912,0.41000867,0.41211233,0.42851594,0.45556483,0.48420453,0.50355124,0.5085915,0.49839845,0.47590706,0.44741425,0.42409706,0.41633353,0.42647183,0.44513834,0.45978832,0.46533915,0.4674963,0.4760437,0.49493846,0.522368,0.5538409,0.58480465,0.60715944,0.6100963,0.5889974,0.5518555,0.5144369,0.48754117,0.47168615,0.46545646,0.47184956,0.49459696,0.5249569,0.5440627,0.5387211,0.51993126,0.51067084,0.5231183,0.5419963,0.54532856,0.5258561,0.49727425,0.47450793,0.4608414,0.45080057,0.44282186,0.4397197,0.4431655,0.44543934,0.43972322,0.4264932,0.4177792,0.42213154,0.43694785,0.4500006,0.45431814,0.45377418,0.45808485,0.4700139,0.48529598,0.49676457,0.501688,0.49759007,0.48377883,0.46409202,0.4532567,0.46456957,0.4967703,0.5270517,0.53300995,0.51044697,0.4771508,0.4517813,0.43982497,0.43505225,0.4321032,0.43236986,0.4394517,0.45270774,0.46696928,0.47828105,0.4872652,0.49700785,0.5074194,0.5147422,0.51538336,0.50810534,0.49353552,0.4715974,0.44608584,0.42562976,0.42061785,0.43290117,0.45278442,0.46674255,0.46913537,0.4646895,0.46080303,0.4594241,0.46026507,0.4675827,0.48810515,0.5207321,0.54973483,0.558595,0.5442872,0.5213408,0.50588274,0.5044067,0.5148568,0.5347848,0.55972457,0.5772061,0.56919765,0.5317537,0.4866495,0.46687272,0.4856751,0.522129,0.5446393,0.53926486,0.5187508,0.5009611,0.49287698,0.4897956,0.4881816,0.48795065,0.48962077,0.4897877,0.4888418,0.49392638,0.512137,0.53759044,0.5501102,0.53465825,0.49595174,0.4565108,0.43488717,0.43272737,0.4388757,0.44264698,0.44178227,0.4387953,0.4381059,0.44435382,0.46489403,0.5015745,0.5455728,0.57570213,0.57650876,0.54911137,0.5120687,0.48285386,0.46737945,0.45991573,0.4549166,0.45148078,0.45190927,0.45386878,0.4515998,0.44139287,0.42795053,0.42042014,0.42291752,0.43122962,0.4385027,0.44174638,0.44155398,0.43573335,0.42239344,0.4043239,0.3924645,0.39592436,0.41338515,0.43410936,0.4484564,0.45553946,0.4600397,0.46571562,0.4745936,0.49111423,0.51768,0.548142,0.5641458,0.55279535,0.5174939,0.47769818,0.44945276,0.43717,0.43825924,0.45333698,0.48192155,0.5145777,0.5327649,0.52866,0.5157308,0.51734644,0.5384126,0.55701065,0.54759735,0.5098805,0.46865436,0.44872287,0.4512656,0.4608623,0.46388075,0.46018553,0.45586812,0.45115867,0.44342527,0.432048,0.4246399,0.42632627,0.43608698,0.4465936,0.4530259,0.45526758,0.45488694,0.4515939,0.44466904,0.4369214,0.43408063,0.4392012,0.45051548,0.4650744,0.4864458,0.5175746,0.5536956,0.5759044,0.57084036,0.54085296,0.5059559,0.48136184,0.46879685,0.45925972,0.4480083,0.43769166,0.4335852,0.43588272,0.44038382,0.44350317,0.4454125,0.44846976,0.4529744,0.4573078,0.46007165,0.45985875,0.45407197,0.43753615,0.41073617,0.38253236,0.36823586,0.37574872,0.39961335,0.42487374,0.44087872,0.44631386,0.4463148,0.44417253,0.44378707,0.45336238,0.4807736,0.52267027,0.5583065,0.56851506,0.5498515,0.5195529,0.49475595,0.48264113,0.4791338,0.47978684,0.48003364,0.4748057,0.45906675,0.43803823,0.42899427,0.447943,0.4912325,0.53375965,0.5538991,0.554472,0.5548679,0.5647369,0.5695062,0.5526915,0.51501507,0.47512564,0.44503713,0.4221724,0.402071,0.39437124,0.41328737,0.4583863,0.5050908,0.5300222,0.5279831,0.51512796,0.50382566,0.49425593,0.48025477,0.46202576,0.44409728,0.42605758,0.40285328,0.37508,0.35504684,0.35348773,0.36725938,0.3759729,0.36564577,0.33658186,0.30559686,0.2837547,0.27293321,0.2644154,0.25059316,0.2279464,0.1991269,0.16997693,0.14689529,0.13481027,0.13637842,0.1511254,0.17430355,0.1983046,0.21635713,0.22607821,0.22911304,0.22861142,0.22683983,0.2246354,0.22123957,0.21476084,0.20379649,0.18994337,0.17889152,0.1771145,0.18688376,0.20315827,0.21749704,0.22429658,0.22504024,0.22542848,0.22967975,0.23611744,0.23789863,0.22821905,0.2051637,0.17439674,0.14559136,0.1292168,0.13146766,0.15293168,0.1862812,0.21941064,0.24088033,0.2466439,0.24042882,0.22946171,0.21968727,0.21576609,0.22124623,0.23734264,0.25916705,0.27782413,0.28534296,0.28018594,0.26637608,0.2496745,0.23423825,0.22143678,0.21121144,0.20349503,0.1995591,0.20120686,0.20870264,0.22008057,0.23216347,0.24296601,0.25210544,0.26016715,0.2675662,0.27427113,0.28002563,0.28442857,0.28741828,0.28906927,0.28991,0.29014954,0.2900779,0.2895623,0.2886987,0.28743628,0.2858095,0.28331205,0.27879766,0.2709541,0.2594825,0.24588633,0.2325701,0.22105514,0.21049088,0.1979494,0.18148057,0.1630835,0.15085459,0.15311874,0.1723817,0.19921857,0.21941404,0.22313617,0.21342051,0.20132065,0.19623081,0.19888367,0.20377006,0.20522141,0.2003602,0.18850262,0.17198855,0.15824758,0.15669896,0.17201503,0.1980185,0.22375816,0.24083091,0.24958722,0.25406572,0.25780836,0.26075092,0.261613,0.2591264,0.25206175,0.23864144,0.2183337,0.19490248,0.1761624,0.16912156,0.17406034,0.18461542,0.19224183,0.19195326,0.18310624,0.16917755,0.15537922,0.14751495,0.14834261,0.15654345,0.16691522,0.1744773,0.1764025,0.1726278,0.16381629,0.15134059,0.1378266,0.1277079,0.12481207,0.12955448,0.13759576,0.14327134,0.14406277,0.14335246,0.14665411,0.15694582,0.17192169,0.18785684,0.20238627,0.2157019,0.22746868,0.23645063,0.24107581,0.24108456,0.23716086,0.22962601,0.21865611,0.20546436,0.19413777,0.1895922,0.19417381,0.20481147,0.21551311,0.2214304,0.22158898,0.21731229,0.21022873,0.20143497,0.19221966,0.18416624,0.17821741,0.17446113,0.1723003,0.17150773,0.1718664,0.17296548,0.1740375,0.17457801,0.17476933,0.17507154,0.17574288,0.1765718,0.17726888,0.1777613,0.17810792,0.17839663,0.17861973,0.1789223,0.17933397,0.17974687,0.1798547,0.17972584,0.17987746,0.1807756,0.1819648,0.18185224,0.17889875,0.17279255,0.16503401,0.15755616,0.15188187,0.14857894,0.14811212,0.15010421,0.15318045,0.15509659,0.1559921,0.15920173,0.1696506,0.1877156,0.2074703,0.21984206,0.22108541,0.21641856,0.2157527,0.22496523,0.2406133,0.2538949,0.25662562,0.24593304,0.22387284,0.19690825,0.17502774,0.16720678,0.17649949,0.19626878,0.21626626,0.22930287,0.2361709,0.24147572,0.24857156,0.25676838,0.2631817,0.26567137,0.2639575,0.25940636,0.25362965,0.24791561,0.24298805,0.2395495,0.23839422,0.23941351,0.24074076,0.23827066,0.2281367,0.20966347,0.18798916,0.17266731,0.17157225,0.18562292,0.20639084,0.22324671,0.22933812,0.22638978,0.22035718,0.21697097,0.21809296,0.2217723,0.22453816,0.22300553,0.21656924,0.2069195,0.19739348,0.19013166,0.18594277,0.18476759,0.1871695,0.19378369,0.20428146,0.21632063,0.22615947,0.23017734,0.2264337,0.21553832,0.2000129,0.18338841,0.16922657,0.16118823,0.16314101,0.17683269,0.20010169,0.22539838,0.244844,0.25325403,0.25075045,0.2389587,0.22063346,0.19945794,0.1824788,0.17607324,0.18232124,0.19509923,0.20584793,0.20839983,0.20364754,0.19543834,0.18747677,0.18076116,0.17540143,0.17159344,0.16948913,0.1680404,0.16446705,0.15567255,0.14026184,0.12122122,0.106016934,0.104685456,0.12357321,0.16071029,0.2044862,0.24087061,0.26099908,0.26563728,0.26112399,0.2539476,0.24718194,0.24095762,0.23409392,0.22509678,0.21324009,0.1997152,0.18831973,0.1846125,0.1917866,0.20835316,0.22728556,0.24199237,0.24936755,0.25196302,0.25321743,0.2553433,0.25786713,0.25953162,0.25916114,0.25548536,0.24781936,0.23684134,0.2261763,0.22035299,0.22199363,0.22935934,0.23832567,0.24561745,0.25098082,0.2559757,0.26186335,0.26842907,0.27425596,0.2773153,0.2748491,0.2640837,0.24466549,0.22162938,0.20468779,0.20198746,0.2137972,0.23182142,0.24628763,0.25241747,0.2520161,0.24872398,0.24404718,0.23606712,0.22234064,0.20277369,0.18178825,0.1664486,0.16301648,0.17150688,0.18463312,0.19098015,0.18338571,0.16363539,0.14066483,0.12316675,0.11506611,0.116575986,0.12787187,0.14883219,0.17690642,0.20497656,0.22589622,0.2358164,0.23716281,0.23435076,0.23126857,0.22882162,0.226719,0.2244636,0.22205041,0.21983661,0.21815537,0.21737482,0.2171409,0.21679854,0.21585019,0.2152593,0.21682255,0.22154497,0.22788471,0.2320814,0.23037136,0.22130339,0.20633133,0.18852168,0.17047453,0.15376832,0.13918146,0.12775405,0.12015352,0.11648152,0.11565582,0.11645282,0.117800735,0.11945203,0.12155204,0.124457456,0.12817012,0.1322931,0.13623583,0.1396817,0.14272116,0.145609,0.14842333,0.15109482,0.15375765,0.15676564,0.16034126,0.16419573,0.16791125,0.17147374,0.17530249,0.17946629,0.1831932,0.18521018,0.18484353,0.18264258,0.1801735,0.17897563,0.17970638,0.18189031,0.184677,0.18747717,0.19038437,0.19345103,0.19643176,0.19861881,0.19963317,0.19963609,0.19937795,0.20008941,0.20351028,0.21169959,0.22526376,0.24258895,0.25970688,0.27361882,0.28305015,0.28840116,0.28816834,0.2788274,0.25716534,0.22419937,0.18636583,0.15149066,0.12658972,0.11570207,0.12249414,0.14551896,0.17704308,0.20137733,0.20627326,0.18898867,0.15975331,0.13112783,0.11186982,0.10331514,0.10507568,0.11668686,0.13739495,0.16280459,0.18660408,0.20403457,0.21481806,0.22127853,0.2254682,0.2278741,0.22864223,0.22859676,0.2289256,0.23007227,0.23087738,0.22844614,0.21880664,0.19915724,0.17033125,0.137886,0.10982431,0.09323025,0.09225906,0.107064806,0.13316464,0.16038947,0.17748328,0.1779625,0.165006,0.14698094,0.13217528,0.12540299,0.130516,0.14945817,0.17994048,0.21303295,0.23878975,0.25132355,0.25133815,0.24085116,0.2207406,0.19194543,0.15996051,0.13473621,0.123633124,0.12505661,0.12827654,0.12320898,0.10899497,0.095015936,0.093743175,0.11093762,0.1429817,0.17784876,0.20416059,0.21594846,0.21585006,0.20909697,0.19873862,0.18344212,0.16183037,0.13686545,0.115814425,0.10516015,0.10553971,0.111675434,0.117499284,0.12099681,0.1261419,0.13780141,0.15767993,0.18017165,0.19854535,0.20853801,0.21262139,0.21446641,0.21645348,0.21785314,0.21730606,0.21405388,0.2083451,0.20191056,0.19710541,0.19574422,0.19718392,0.19926326,0.19982804,0.19841522,0.1955504,0.19217157,0.1890982,0.18712372,0.18654335,0.18693729,0.18752249,0.1878785,0.1880803,0.18824239,0.18804656,0.18664055,0.18289132,0.17564835,0.1644562,0.14997144,0.1343392,0.120340936,0.110547096,0.1058645,0.10551047,0.10731721,0.10938495,0.110604264,0.110971056,0.11073646,0.110181004,0.109428175,0.108595364,0.10783752,0.107178874,0.106566936,0.105851285,0.104975425,0.10404349,0.10321078,0.10274184,0.10268157,0.10302443,0.104517214,0.110012405,0.124878205,0.15283382,0.19207203,0.23293884,0.26468363,0.2807332,0.28274167,0.2762154,0.26770997,0.26155606,0.259692,0.26088396,0.26193607,0.2598325,0.25406858,0.24669473,0.24088812,0.23867035,0.2398485,0.24136932,0.23812206,0.22521903,0.20135432,0.17091201,0.14193758,0.12207072,0.11507177,0.12099886,0.13679242,0.15732183,0.17605786,0.18886103,0.19592452,0.20138352,0.20820051,0.21589561,0.22115402,0.22202702,0.21913569,0.21507424,0.21180744,0.21038638,0.21087688,0.21306111,0.21599913,0.21825708,0.21876328,0.2176069,0.21631749,0.21605052,0.21678925,0.2164327,0.21290994,0.2050582,0.19425832,0.18284446,0.17308153,0.16507699,0.15819733,0.15246797,0.15088491,0.1566001,0.1703432,0.18736048,0.20143509,0.2081937,0.20846067,0.20536597,0.20212142,0.2000042,0.19899648,0.19815539,0.1960954,0.19192016,0.18707232,0.1853574,0.19099241,0.20409836,0.22041322,0.23358859,0.2404568,0.24159701,0.2400058,0.23790288,0.23648697,0.23588358,0.23604892,0.23635502,0.23597024,0.2338167,0.2293943,0.2229573,0.21551372,0.20798928,0.20083348,0.19383621,0.18643321,0.17775649,0.16719162,0.15509649,0.14310642,0.13334714,0.12698215,0.12375524,0.122440904,0.12197435,0.12172482,0.121533364,0.12141511,0.12159133,0.1222442,0.12335404,0.12460812,0.12570561,0.126586,0.12744929,0.1284325,0.12950976,0.13054268,0.13154443,0.13259752,0.13372277,0.1348012,0.13575481,0.13663048,0.13747327,0.1381578,0.13907284,0.14125176,0.14632137,0.15354542,0.15997452,0.16107005,0.15618934,0.1484163,0.14354856,0.14507611,0.15346424,0.16643308,0.18030876,0.19151078,0.1975996,0.19901663,0.19836694,0.19872074,0.20139898,0.20526344,0.20845379,0.20977755,0.20978774,0.20927602,0.20867135,0.20755571,0.20527406,0.20082088,0.19303972,0.18181427,0.16913934,0.1582609,0.15050516,0.14391546,0.13522206,0.12454402,0.11618628,0.11708945,0.13093528,0.15659268,0.18656598,0.21257897,0.22851746,0.23438567,0.23310393,0.2282481,0.22099394,0.21081287,0.19622432,0.1767322,0.15463085,0.13554725,0.12689908,0.13303255,0.1524412,0.17675382,0.19618784,0.20340145,0.19754271,0.1825888,0.16652189,0.15762424,0.16131335,0.17634046,0.19573635,0.21158795,0.2201199,0.22246708,0.22122824,0.2171052,0.20823818,0.19272785,0.17161293,0.14965175,0.13273254,0.12419036,0.12368391,0.12968053,0.14156361,0.15911777,0.17962486,0.19819231,0.21048194,0.21587026,0.2167208,0.21553075,0.2130459,0.20832892,0.20063157,0.19027178,0.17892665,0.16845451,0.15949184,0.15114297,0.14168064,0.13081703,0.11960623,0.11023241,0.10343883,0.099239916,0.096398026,0.09461996,0.09325755,0.092424,0.091388635,0.090207994,0.08861318,0.08721581,0.08607472,0.08545539,0.08500844,0.08466101,0.084295146,0.08404344,0.08397826,0.08399412,0.08407813,0.08407775,0.08415362,0.084086426,0.0839454,0.08342037,0.082729064,0.08167761,0.08056135,0.07913015,0.07773789,0.07620538,0.07497779,0.07382516,0.07301724,0.07214511,0.071391106,0.07049301,0.06976121,0.06895491,0.068185665,0.06714544,0.06606694,0.064919144,0.06398503,0.06310085,0.062356323,0.06163236,0.06111576,0.0607217,0.060433283,0.060043436,0.05951829,0.058872137,0.058185216,0.05756337,0.056984123,0.056493696,0.055918977,0.055295866,0.05448855,0.053713694,0.05291039,0.052259326,0.05155498,0.050904814,0.050147478,0.04949573,0.048853096,0.04838589,0.047877867,0.047390316,0.046707124,0.0459733,0.045074135,0.044224232,0.04336214,0.04272592,0.042209342,0.04191639,0.041634306,0.04144701,0.041234598,0.04108982,0.04083665,0.040458813,0.039809737,0.03895844,0.037889212,0.03673053,0.035533816,0.03442876,0.033472233,0.032718938,0.032164823,0.031729583,0.03132135,0.03080842,0.030206978,0.029511966,0.028796062,0.027901577,0.026675524,0.024912298,0.022830928,0.02095505,0.020050459]