[0.002121882,0.004580923,0.011019384,0.02118007,0.033109307,0.04363038,0.05026372,0.052863017,0.053340886,0.053974044,0.055702254,0.057972446,0.05963023,0.06024246,0.06067921,0.06299443,0.06964969,0.081503056,0.09666809,0.11042252,0.11866305,0.119934745,0.11597548,0.10899059,0.10045257,0.09124806,0.08249385,0.07540004,0.07069785,0.06889895,0.071011096,0.07777178,0.08844868,0.09943359,0.1065967,0.10757937,0.10377107,0.09806151,0.09258003,0.08753041,0.08248202,0.07765051,0.07367298,0.07088893,0.069004714,0.06790424,0.06783328,0.06891882,0.07042328,0.07109823,0.07035523,0.068864666,0.068269156,0.069538526,0.07254407,0.07604026,0.07957914,0.08360238,0.08911675,0.095909566,0.10264606,0.10769392,0.110243775,0.11044168,0.10888224,0.106338836,0.10350307,0.100877434,0.09856552,0.096298754,0.09369388,0.090464234,0.086565256,0.08202381,0.07696474,0.07157419,0.06628089,0.061557505,0.05767798,0.054591473,0.052138906,0.050717443,0.050937857,0.053224117,0.056605157,0.05958508,0.060786303,0.060427833,0.059600502,0.05970307,0.061138492,0.063394435,0.06532812,0.06615966,0.06579634,0.06491521,0.0643364,0.064670056,0.065808825,0.06714655,0.06792969,0.068163365,0.06879213,0.07133103,0.07632273,0.08255303,0.08712327,0.08776074,0.08468033,0.08147737,0.08283617,0.0909617,0.103274934,0.11370236,0.11774606,0.11554217,0.11153153,0.109778784,0.11147187,0.11485434,0.117705286,0.11871537,0.117731415,0.11523447,0.1117368,0.10751193,0.10258605,0.097135745,0.091582425,0.086390644,0.08188202,0.07855309,0.07735824,0.07902936,0.08307794,0.08745914,0.09007347,0.09019216,0.08892047,0.087905735,0.08788303,0.088287465,0.087777555,0.0857299,0.08253103,0.07954965,0.07794902,0.07813341,0.07957489,0.08112842,0.08192948,0.081695326,0.08097503,0.080358826,0.08003194,0.07964557,0.07870827,0.07709351,0.0749616,0.072707646,0.07081901,0.070062496,0.07109037,0.07391559,0.077453606,0.08037072,0.08189865,0.08245882,0.08272851,0.082959704,0.08260578,0.08110475,0.07845628,0.07534618,0.07261247,0.070863396,0.070232205,0.07050401,0.071109585,0.07149499,0.07136216,0.07088407,0.07060579,0.07093529,0.071909405,0.07282101,0.07288725,0.07154132,0.06913116,0.06658421,0.065122634,0.065373294,0.067010574,0.0689176,0.07015591,0.07051975,0.07038114,0.069812715,0.06845236,0.06577773,0.06191133,0.05772649,0.055000816,0.0557504,0.061119955,0.0698402,0.07838151,0.08310504,0.08288944,0.07965085,0.076628245,0.076372646,0.079458684,0.08453313,0.08888352,0.09041109,0.08990886,0.09224578,0.105792545,0.13682045,0.18492158,0.23885958,0.28346497,0.30655205,0.30654573,0.289142,0.26327732,0.23603131,0.21204579,0.19352305,0.18172552,0.17901821,0.18882038,0.21156089,0.24024288,0.26148054,0.26466045,0.24889083,0.2232638,0.19783454,0.1777064,0.16155072,0.14634869,0.13046704,0.11496236,0.10345349,0.10111922,0.114079416,0.14211746,0.17745031,0.20344244,0.20955206,0.19426803,0.16869418,0.14267622,0.12266932,0.108228415,0.097959675,0.08990592,0.08455765,0.084580004,0.09536427,0.11825427,0.1481549,0.17150277,0.17813319,0.16563997,0.14347537,0.12237171,0.11001859,0.106416404,0.10794681,0.10970534,0.10901693,0.10726876,0.10978221,0.12390711,0.15052448,0.18214361,0.2027141,0.20271368,0.1824864,0.15462458,0.13028379,0.1158489,0.109803416,0.10826338,0.10748658,0.10761511,0.11265233,0.12874633,0.1560765,0.18718477,0.20707081,0.2069084,0.18710609,0.15971941,0.13583651,0.12218846,0.11762244,0.11864937,0.12140959,0.12489792,0.13185133,0.14835644,0.17897852,0.21936254,0.2549623,0.26864284,0.2543538,0.22043236,0.18341868,0.15589093,0.14245792,0.14102514,0.14632368,0.15254545,0.15710323,0.16361159,0.18140842,0.21373427,0.25269806,0.27780664,0.2766601,0.25028422,0.2158482,0.18732929,0.17131513,0.16415238,0.16092569,0.15806915,0.15648268,0.16085474,0.17773414,0.2097069,0.24981551,0.28241596,0.292017,0.27490762,0.24015816,0.20272817,0.17278624,0.1539787,0.14491971,0.14254735,0.14352153,0.14739154,0.1577682,0.18091898,0.21581714,0.25235906,0.27239227,0.26742795,0.24107324,0.20906924,0.18247591,0.16530174,0.15447293,0.14763618,0.14391173,0.14389239,0.14957033,0.16509508,0.19294934,0.22839062,0.25749704,0.2663175,0.2511038,0.22125012,0.19060129,0.16808493,0.15503867,0.14852951,0.14522094,0.142778,0.1420388,0.1471576,0.1655236,0.19740087,0.23396623,0.25601545,0.2532323,0.2274003,0.19446057,0.16643085,0.14856355,0.1382065,0.13287745,0.1313714,0.13474302,0.14568573,0.16876788,0.20417798,0.24432056,0.272441,0.27624878,0.2548969,0.22149162,0.18969528,0.16720875,0.15339868,0.1455879,0.1413073,0.13959478,0.14162879,0.15141197,0.17514463,0.21197061,0.25177667,0.27491644,0.27086145,0.2420163,0.20548569,0.17483908,0.15657954,0.1479464,0.14522918,0.1451277,0.14768223,0.15611751,0.1772121,0.21242161,0.25406787,0.28322148,0.286503,0.2624618,0.2256732,0.19074923,0.16645427,0.15182213,0.14339538,0.13789828,0.13447337,0.1357137,0.14777009,0.17792171,0.22435968,0.27326822,0.30178583,0.29749903,0.2661595,0.23192918,0.21976052,0.24112801,0.28758156,0.3352212,0.36289215,0.36228427,0.34313682,0.31930736,0.3007851,0.2889745,0.2817689,0.2768593,0.27322403,0.27081576,0.27058053,0.27272364,0.2771239,0.28131804,0.28356442,0.2826186,0.28226435,0.28944993,0.31050083,0.34197393,0.36969063,0.3777434,0.3619397,0.3323523,0.30426708,0.28619656,0.2778579,0.27454332,0.27288762,0.27154493,0.27095482,0.27246812,0.2789252,0.29130504,0.30737352,0.31967315,0.32228723,0.31332877,0.29817167,0.28293803,0.27223757,0.26621044,0.26364222,0.26285356,0.26423356,0.27049473,0.28682384,0.31483674,0.3472635,0.36754346,0.36179593,0.33045328,0.28912997,0.25611782,0.24022378,0.2385781,0.24330576,0.24762784,0.24893384,0.24791418,0.24787147,0.2528506,0.26470733,0.28135526,0.29590535,0.30184332,0.29645345,0.28376976,0.27057466,0.2622117,0.25942492,0.25924706,0.2586951,0.2585748,0.26464796,0.2847408,0.31938764,0.35722074,0.37702644,0.3651539,0.32573345,0.27987984,0.24751186,0.23566462,0.2376957,0.24363868,0.24738336,0.24859297,0.25043848,0.2572477,0.27213967,0.29331195,0.31344786,0.32201633,0.3140896,0.29318678,0.27007386,0.25351754,0.24693643,0.24796532,0.25277278,0.2575965,0.2617028,0.2683876,0.28581035,0.3164891,0.35156277,0.36858836,0.35223842,0.30527243,0.2516872,0.21578838,0.2093405,0.22644277,0.25283965,0.27478874,0.28585023,0.28827345,0.28997037,0.29829952,0.3140868,0.3307287,0.33877334,0.33361757,0.3182889,0.30066124,0.28720263,0.27969888,0.27582213,0.2717866,0.26546398,0.25927755,0.2596167,0.27431467,0.3020147,0.33166772,0.34378853,0.33013535,0.2960863,0.26057807,0.23685767,0.22892463,0.23103772,0.23670161,0.24136241,0.24320549,0.2430772,0.24407686,0.25055203,0.26455522,0.28329232,0.2995832,0.30641162,0.30156228,0.28865278,0.2739402,0.2623655,0.255548,0.25244036,0.2510062,0.25207356,0.26000103,0.28229776,0.31744015,0.35342368,0.36798558,0.35184836,0.31150547,0.26914433,0.23971933,0.2277389,0.22691439,0.23089606,0.23529172,0.23876184,0.24291305,0.25192234,0.26955202,0.2940035,0.31631586,0.3257437,0.3177637,0.29769757,0.27519855,0.25760457,0.2461317,0.23935677,0.23527242,0.23336588,0.23528814,0.24592702,0.27306792,0.31554428,0.36038375,0.3821808,0.36878932,0.32591352,0.27823347,0.24326247,0.22723544,0.22371568,0.22645104,0.23065895,0.23525815,0.24120498,0.25231186,0.26984766,0.2901858,0.30343017,0.30289873,0.28874278,0.26939985,0.25247017,0.2419648,0.23746163,0.23804589,0.24227272,0.24751389,0.2523738,0.25894102,0.27482894,0.30142435,0.33061835,0.3424689,0.3270336,0.29024455,0.25652263,0.24828269,0.27326062,0.31892335,0.35981727,0.37625006,0.36429036,0.33898103,0.3189858,0.3154635,0.32555303,0.33788922,0.34101522,0.33110753,0.3130075,0.29552817,0.2847461,0.28150287,0.28300595,0.28536913,0.2857152,0.28482378,0.28795603,0.30406213,0.33300743,0.36438844,0.3767405,0.3617991,0.32517394,0.28753784,0.26156136,0.25069395,0.24880105,0.25028077,0.25200215,0.25369442,0.25749144,0.26662293,0.28191054,0.29971918,0.31164113,0.31212726,0.3011931,0.28570458,0.27192843,0.26283756,0.2574165,0.25390184,0.2513884,0.2496958,0.2514408,0.2617179,0.2870032,0.3237685,0.35784888,0.36827114,0.3493241,0.3115398,0.27706563,0.25764385,0.2537316,0.25679195,0.26046002,0.26145294,0.2607236,0.26172686,0.269588,0.28646794,0.30874202,0.32683715,0.33231997,0.32314825,0.30539325,0.28732255,0.27473947,0.26833156,0.26581737,0.2640538,0.26190472,0.26213697,0.27024245,0.29095948,0.3193151,0.34243742,0.34416983,0.32203433,0.28559878,0.2520269,0.23019595,0.2207904,0.21835631,0.21805906,0.21721125,0.21666147,0.22012007,0.23214461,0.25271964,0.27628848,0.29264376,0.29552114,0.2849536,0.26855326,0.25413078,0.24709313,0.24738432,0.25209185,0.25642857,0.25835204,0.2607298,0.27197275,0.29772356,0.33231208,0.35740578,0.3547738,0.3223625,0.27623245,0.23891938,0.22318745,0.2286495,0.24606848,0.26492906,0.27777305,0.2828244,0.28432417,0.289842,0.30335537,0.32168618,0.33459637,0.33425438,0.3204422,0.30101383,0.2840186,0.2725766,0.26531002,0.25966373,0.25443494,0.250591,0.2519952,0.26592115,0.29622123,0.33652535,0.36791107,0.372519,0.3477563,0.30882263,0.27540544,0.25708607,0.2518101,0.25259033,0.25493002,0.25719926,0.25967106,0.2635621,0.27141836,0.28386465,0.2978475,0.30581045,0.30274805,0.28898653,0.27132294,0.25636092,0.24792206,0.245452,0.24635752,0.24725069,0.24772245,0.25191867,0.26866636,0.30122897,0.34114853,0.36748254,0.36437896,0.33272052,0.2909936,0.25843644,0.24314083,0.24104644,0.24427934,0.24743195,0.24885677,0.25012195,0.25465474,0.2660896,0.2833712,0.30007327,0.30639154,0.29825592,0.27924004,0.25893167,0.24466287,0.23886965,0.2394407,0.24256593,0.2451749,0.24763346,0.2550486,0.27547863,0.3088732,0.34365234,0.35779655,0.34065375,0.29843298,0.2538617,0.22343765,0.2117256,0.21119314,0.2145267,0.21777429,0.2206745,0.22459744,0.23227476,0.2469775,0.26863846,0.29185402,0.30710253,0.30816475,0.29572293,0.277118,0.25975746,0.24808288,0.24248146,0.24167018,0.24337153,0.24741508,0.25642613,0.27683616,0.3081883,0.34044567,0.35278976,0.3346386,0.29266426,0.2531143,0.24116294,0.2659303,0.31310448,0.35366216,0.3651588,0.34565327,0.314814,0.29607734,0.30016604,0.31999362,0.3378156,0.33959964,0.3227368,0.29655686,0.27285767,0.2585016,0.25323376,0.25305298,0.25342283,0.25026777,0.24355371,0.23868231,0.24783571,0.2755021,0.31333533,0.33698896,0.33104262,0.29652467,0.25345558,0.21848857,0.19848563,0.18958245,0.18630855,0.18434937,0.1826154,0.18492289,0.20010807,0.23454432,0.28313658,0.32759246,0.34922484,0.34308472,0.32055977,0.29783514,0.28419027,0.27982605,0.2807012,0.28212646,0.27958348,0.27167127,0.26298618,0.2654523,0.28558433,0.31888974,0.3462553,0.35471836,0.34232715,0.321888,0.30353606,0.29303035,0.28947628,0.2903382,0.29026315,0.2844648,0.2742647,0.26997828,0.28206417,0.30963603,0.3368566,0.34650603,0.33387843,0.3091227,0.28587294,0.27038512,0.26128772,0.254211,0.24616946,0.23588996,0.22615136,0.22424507,0.23993635,0.2735354,0.3130239,0.33683336,0.33448717,0.30985653,0.27864406,0.25119057,0.23178017,0.22046675,0.21717829,0.21901561,0.22172962,0.22521257,0.23790748,0.26714197,0.3096855,0.34631,0.35951245,0.3444332,0.3149391,0.28732213,0.2721084,0.26908168,0.27385047,0.28051257,0.28422782,0.28450358,0.28536546,0.2950913,0.31252477,0.3280462,0.32303917,0.29369137,0.24916613,0.21163695,0.19424874,0.20008266,0.22092658,0.24501856,0.2613268,0.26499486,0.26172012,0.26477262,0.28307235,0.3126295,0.33606672,0.34025094,0.3251489,0.30453327,0.28952697,0.28204975,0.27640158,0.26823875,0.25788686,0.24894322,0.24727099,0.25921908,0.28898832,0.33036235,0.36794874,0.38342845,0.37286994,0.3460983,0.32086655,0.30545816,0.29912034,0.29522848,0.29058778,0.28485134,0.2811825,0.28367665,0.29824045,0.32385397,0.3527422,0.36935768,0.3676848,0.35144427,0.33398542,0.32167238,0.3139448,0.30528212,0.29353434,0.27980125,0.2667266,0.25803494,0.2590215,0.27467382,0.30221042,0.3294169,0.34021044,0.3291622,0.30365407,0.27901193,0.26499277,0.2642987,0.27284262,0.28485203,0.2931464,0.29405445,0.29011706,0.29230917,0.3086755,0.33796474,0.36429396,0.37449732,0.36436605,0.3443627,0.32373205,0.30690205,0.29065862,0.2725484,0.25233778,0.23381789,0.22358978,0.23061211,0.2592871,0.3022785,0.33872008,0.34777817,0.3238565,0.28124592,0.2408952,0.21630992,0.20812505,0.21059681,0.21694441,0.22367388,0.23124212,0.24475761,0.2708188,0.30738598,0.34156576,0.3515574,0.32798854,0.27781203,0.2254351,0.19079095,0.18393712,0.198686,0.2223993,0.23998879,0.24527907,0.24295728,0.247456,0.2675228,0.29731342,0.31594148,0.305869,0.26683807,0.21669567,0.17547365,0.15194649,0.14238481,0.13854943,0.134899,0.13014102,0.12815,0.13592088,0.1624868,0.20520091,0.24984087,0.27042055,0.25689277,0.21682508,0.17727755,0.1571579,0.16232848,0.18177374,0.20100977,0.20864947,0.2039239,0.19653185,0.2039731,0.23655228,0.28909397,0.3370678,0.35815296,0.34564078,0.31493697,0.28514418,0.26748848,0.26060906,0.2587832,0.25743905,0.2559028,0.25783098,0.26882556,0.29339442,0.32556593,0.35102525,0.35145596,0.32361567,0.27876922,0.23899119,0.21798159,0.21838628,0.23222296,0.24949507,0.26203832,0.26771674,0.27100465,0.28201887,0.30513135,0.33478642,0.3527298,0.3473405,0.32019147,0.28987694,0.27200055,0.27101186,0.27703586,0.27852178,0.27058384,0.25918236,0.25738665,0.27667093,0.3182999,0.36732522,0.40074405,0.40064666,0.3687842,0.321663,0.2789409,0.24931817,0.23192038,0.22101657,0.21238099,0.20330517,0.19566034,0.19538885,0.21256399,0.24736707,0.28785086,0.3090309,0.29839405,0.2598566,0.21563381,0.18166596,0.164411,0.1587678,0.15937094,0.16134232,0.16266668,0.16547902,0.1768965,0.20461152,0.24554877,0.2839178,0.29781094,0.27945247,0.23821308,0.19557033,0.16560669,0.15232731,0.15030803,0.15378463,0.1578464,0.16312212,0.17494126,0.20351358,0.2483419,0.296531,0.3218093,0.31279832,0.2773588,0.24429733,0.23743065,0.26484516,0.31495044,0.36435696,0.39424393,0.39706507,0.38317522,0.3678069,0.3634306,0.37033966,0.3791007,0.37854406,0.36418366,0.343889,0.33072278,0.33469892,0.35426772,0.37871575,0.39514622,0.3972982,0.38980445,0.38357782,0.3886683,0.40330365,0.4169308,0.4144285,0.392635,0.35870102,0.3279771,0.30904356,0.30279306,0.30334282,0.3046308,0.30337703,0.30050465,0.30125132,0.3125989,0.33614716,0.36330596,0.37623414,0.3616186,0.32078204,0.27074262,0.2309653,0.21352583,0.2188763,0.24004976,0.26445138,0.28017703,0.2820178,0.27706996,0.28052962,0.29985225,0.3279571,0.34399226,0.3375211,0.31276244,0.28827444,0.27457312,0.2721394,0.27299425,0.27216768,0.26899055,0.26693395,0.27109322,0.2869949,0.3132976,0.33938834,0.34689692,0.32735023,0.28812343,0.25028065,0.22834815,0.22433668,0.22898926,0.2332921,0.23109877,0.22122969,0.20895278,0.20636536,0.22707565,0.27113888,0.32277715,0.3556671,0.35717753,0.3310715,0.29489312,0.26043877,0.23380493,0.21610527,0.20944594,0.21328174,0.22525473,0.24310045,0.26907542,0.3029723,0.33874714,0.36106065,0.3600805,0.335754,0.30063447,0.26631033,0.24015658,0.22371106,0.2176842,0.22208802,0.23580961,0.25721928,0.2844908,0.31631625,0.3460827,0.36447513,0.3612411,0.33878636,0.30735555,0.2811204,0.26379004,0.2525181,0.24108689,0.22699024,0.21056765,0.19687861,0.19412352,0.21207921,0.24856262,0.28958055,0.31116414,0.30467185,0.27666882,0.2484404,0.23262203,0.23400553,0.24724574,0.26596084,0.2812566,0.28752184,0.2855403,0.28454998,0.29422304,0.315075,0.33616483,0.34236324,0.3273866,0.29581374,0.26056522,0.2330554,0.2208326,0.22435446,0.2381158,0.25336304,0.26453757,0.27376089,0.28890988,0.31220338,0.3354508,0.34132108,0.3224766,0.28579208,0.25165835,0.23467785,0.2386839,0.2554216,0.27431673,0.2873137,0.29270062,0.29444647,0.30056226,0.31666842,0.34081352,0.36113134,0.36529198,0.35064295,0.32762957,0.3097647,0.3024678,0.30078486,0.29658854,0.28651193,0.27376425,0.26645303,0.27253774,0.29729414,0.3338648,0.36649385,0.37362108,0.34983146,0.30509424,0.2625488,0.23612446,0.22933547,0.23527539,0.24685025,0.2574099,0.26376626,0.2675524,0.27688345,0.29762432,0.3254819,0.34284517,0.3343331,0.2984535,0.25076857,0.20891523,0.18266417,0.17114033,0.16921721,0.17088495,0.17159046,0.17146112,0.1772622,0.20104724,0.24452563,0.293965,0.3208586,0.31174728,0.2763702,0.24606405,0.2413234,0.2621204,0.29034546,0.31049073,0.3168838,0.31400365,0.30924404,0.31182477,0.32446182,0.34313414,0.3529006,0.34536234,0.32180944,0.2977338,0.28394625,0.28272608,0.28526345,0.28332773,0.27253208,0.25473323,0.23607992,0.22588699,0.23374121,0.25969687,0.29233304,0.3107613,0.3049477,0.27926746,0.2520287,0.23602359,0.23540123,0.24496078,0.2590599,0.27348605,0.28759584,0.30348644,0.3254322,0.35305825,0.37961972,0.39167222,0.38268912,0.35535094,0.32206765,0.29090604,0.2641792,0.23900177,0.21479024,0.19340754,0.17823552,0.17359279,0.18511938,0.2163708,0.26080975,0.30009732,0.31360117,0.2961887,0.26181883,0.23420143,0.22695707,0.23909648,0.2574949,0.26990938,0.26922217,0.25943315,0.25109658,0.25897026,0.2852515,0.31846747,0.33346924,0.31967974,0.28394875,0.25111118,0.23501348,0.23647124,0.24293017,0.2452,0.23860179,0.22541334,0.21298009,0.21409957,0.23988838,0.28801903,0.33919883,0.36737332,0.36122712,0.3300985,0.29640928,0.2763324,0.2738961,0.2825327,0.2933497,0.2995166,0.30031756,0.30108356,0.31121716,0.33222926,0.3558605,0.36403057,0.35059682,0.32334316,0.30411848,0.3058567,0.3280135,0.35664907,0.37689266,0.3813543,0.37186274,0.35873976,0.3525578,0.35860863,0.3717639,0.38087976,0.37776935,0.36379647,0.34849826,0.34112647,0.34481356,0.35573742,0.36677802,0.37146083,0.366998,0.3562908,0.34612682,0.34407237,0.35129008,0.3627782,0.36806437,0.36187062,0.34611735,0.33133173,0.3278426,0.3364186,0.3473402,0.3436694,0.3212432,0.2885852,0.26742166,0.26978812,0.29513514,0.32735157,0.34915492,0.34999633,0.33180425,0.30571365,0.28395152,0.27376285,0.2745241,0.2818645,0.29085097,0.29976675,0.30990672,0.3253094,0.3499204,0.381664,0.41110852,0.423884,0.41428328,0.38779607,0.35926756,0.33871672,0.3285947,0.32444158,0.3220923,0.31889912,0.31508312,0.31306556,0.3184402,0.33417606,0.35723975,0.37617186,0.38136324,0.37073943,0.35221374,0.33451748,0.32228062,0.31422842,0.30693352,0.29742226,0.28580064,0.27702305,0.28008893,0.3022935,0.34011808,0.37812826,0.3971485,0.39032152,0.36556444,0.3388188,0.31991503,0.3103138,0.30625394,0.30407193,0.30202985,0.30031884,0.30147555,0.3089255,0.32304415,0.33925202,0.34767517,0.34139475,0.32023916,0.2944044,0.27617908,0.27350783,0.28364468,0.29690564,0.30386785,0.30229607,0.29850528,0.30233207,0.32061097,0.3495933,0.37659183,0.38596222,0.37310824,0.34503958,0.31699434,0.2988639,0.29432347,0.29995632,0.31126466,0.3225757,0.33072376,0.3355131,0.341115,0.35026446,0.36125574,0.36562833,0.35639417,0.33291054,0.30416927,0.28233942,0.27642667,0.28788766,0.31056723,0.33583745,0.3570811,0.3740996,0.3904829,0.4082935,0.42264232,0.42367604,0.40440786,0.36771587,0.32442716,0.28763223,0.26680908,0.26766142,0.2889566,0.32200372,0.35224268,0.36888894,0.3706659,0.36667183,0.3663477,0.3729463,0.37933657,0.37734714,0.36430347,0.3473245,0.3355932,0.33390388,0.34027264,0.3492248,0.35674453,0.3622882,0.3700805,0.38595283,0.4121499,0.44212258,0.46239722,0.46172252,0.43902108,0.40270436,0.36341724,0.32875156,0.3031526,0.287865,0.27977133,0.27209747,0.2610515,0.2509352,0.25325993,0.27484202,0.31108642,0.34471563,0.3603408,0.351691,0.3264388,0.2966266,0.27387932,0.26315463,0.26355588,0.269534,0.27736095,0.28847516,0.30974314,0.3428496,0.3798603,0.40287364,0.40075645,0.37549365,0.3430561,0.31783476,0.3066039,0.3065505,0.31228474,0.31819102,0.3215133,0.32263324,0.32563356,0.3345183,0.3486099,0.36090818,0.36178455,0.3470383,0.3212669,0.29578808,0.28079376,0.27985,0.28948304,0.30256674,0.31361815,0.3217657,0.33082446,0.3467536,0.36855784,0.38771105,0.3884413,0.36565825,0.32588863,0.28705862,0.25988945,0.2465788,0.24145383,0.2401982,0.24002205,0.24005206,0.24097137,0.2472014,0.26386285,0.29174402,0.32198292,0.34115365,0.34034368,0.32257268,0.29870793,0.27876246,0.26598167,0.25824165,0.25235006,0.24654762,0.24282622,0.24613152,0.2644104,0.2970601,0.33389285,0.35319576,0.34470725,0.3135529,0.2841798,0.2777157,0.30155852,0.3423661,0.37565878,0.38317207,0.36383435,0.33585748,0.32068214,0.32963046,0.3563467,0.38323236,0.39402282,0.38390633,0.36114278,0.33870283,0.32618263,0.3259277,0.33524668,0.34842697,0.35975584,0.36679658,0.37221932,0.3832673,0.40227115,0.4247259,0.43660578,0.42997944,0.4048114,0.3736275,0.3477434,0.3349993,0.33532706,0.3447602,0.3571459,0.36751983,0.37509122,0.3829066,0.39342096,0.40427515,0.40747833,0.39658865,0.3716397,0.34161425,0.31825972,0.31085625,0.32143298,0.34516504,0.37284732,0.3957238,0.4103415,0.41936538,0.42983475,0.44355488,0.45537683,0.45196345,0.4268562,0.38290307,0.33560666,0.29918206,0.2820749,0.2813009,0.28752786,0.2905242,0.28648758,0.28044045,0.2826724,0.29983076,0.32876447,0.35676757,0.37148237,0.36925805,0.35693124,0.34486046,0.33931586,0.34078717,0.34545994,0.34972504,0.35079297,0.3502874,0.3527677,0.3664465,0.39163136,0.4200618,0.43282187,0.4209499,0.38722488,0.34936273,0.3204516,0.30679694,0.30446056,0.30801734,0.3120681,0.31462952,0.31669393,0.3228797,0.33596358,0.3541714,0.3677236,0.36764812,0.35098782,0.32636753,0.30605707,0.29984605,0.30851233,0.32596266,0.3422376,0.34934843,0.34617782,0.34040025,0.3454318,0.3663216,0.39549193,0.41240048,0.4064107,0.3799295,0.35095215,0.33209598,0.3288493,0.33586797,0.3466607,0.35496178,0.35939598,0.36212885,0.36857042,0.3808457,0.3961227,0.4054266,0.4018091,0.3841288,0.3589839,0.33520854,0.31986293,0.31550488,0.31952503,0.32516328,0.3253763,0.31876624,0.31235704,0.3170976,0.33646193,0.36171052,0.3761858,0.37201598,0.3539445,0.33582652,0.32514337,0.32130772,0.31786466,0.3107193,0.2991012,0.286418,0.27874553,0.28425708,0.3065865,0.34165153,0.37594604,0.39758658,0.40190783,0.39485002,0.3837597,0.3733373,0.36373892,0.35490695,0.3473418,0.3427041,0.34314296,0.35213754,0.37155363,0.3967359,0.41568014,0.41508523,0.39219522,0.3555698,0.3200713,0.2951876,0.28406456,0.28444895,0.29264876,0.30388597,0.31423464,0.32287598,0.33369228,0.35002938,0.3709078,0.387015,0.39079258,0.38012412,0.3636061,0.34999654,0.3449358,0.3463063,0.34919035,0.34843042,0.34299627,0.33756933,0.3411585,0.3594226,0.3867509,0.40596,0.4006892,0.36898863,0.32484975,0.28637338,0.26237795,0.25116915,0.24641836,0.24446094,0.24392273,0.24566346,0.25138924,0.26614133,0.29286936,0.32963565,0.3650671,0.3884139,0.3963338,0.39792407,0.40582216,0.42482552,0.447757,0.45881042,0.44873294,0.41992283,0.387534,0.36704946,0.36622348,0.38115045,0.39889446,0.40614593,0.39492354,0.36985448,0.34444165,0.33567405,0.34937683,0.3767592,0.3981659,0.40182498,0.39046738,0.3794031,0.37995768,0.3930169,0.4086136,0.41569218,0.4086071,0.39116022,0.37356162,0.36790344,0.37752637,0.39526936,0.40382826,0.393326,0.3666562,0.34148383,0.33420458,0.3497068,0.37772068,0.39893162,0.40009975,0.38069558,0.35415503,0.33376515,0.32501075,0.3232111,0.32130703,0.3149835,0.30500987,0.29587555,0.29435492,0.3057232,0.32856062,0.3526961,0.36420104,0.3564444,0.3348471,0.31348202,0.30462745,0.31271383,0.3332356,0.35572752,0.3695071,0.36981988,0.36237183,0.35996246,0.37083176,0.39127842,0.4055796,0.4024168,0.38093862,0.35315463,0.32912996,0.31407338,0.30563298,0.30173895,0.30077252,0.30347475,0.31009772,0.32190385,0.3390604,0.36019894,0.378885,0.38693532,0.37888697,0.3582288,0.33469656,0.31847265,0.3129424,0.31499568,0.31832615,0.3187796,0.31732628,0.32006034,0.3361518,0.36753443,0.40571508,0.43070754,0.4297769,0.4028629,0.36538926,0.33048105,0.30487606,0.2867062,0.27429256,0.26688132,0.26576483,0.27194035,0.28685558,0.30928063,0.33446297,0.3528483,0.3572018,0.34661758,0.32967028,0.3169104,0.31600368,0.32606038,0.34067643,0.35065007,0.351046,0.3442653,0.33965445,0.34764704,0.3691982,0.39448628,0.40611982,0.3966142,0.37135974,0.34662762,0.33294818,0.33142576,0.33604577,0.342284,0.34947315,0.3585401,0.36982247,0.38307858,0.39768168,0.41204354,0.42147398,0.42152217,0.4104019,0.39293614,0.37626848,0.367113,0.36708125,0.3740659,0.3830024,0.38898364,0.39039418,0.3907915,0.39871958,0.41677603,0.43825808,0.44543055,0.42948043,0.39382532,0.3562328,0.32939222,0.31862655,0.31939396,0.32581535,0.33050632,0.32865146,0.31965765,0.31144908,0.31291568,0.32702532,0.34356448,0.35004807,0.34057847,0.32272646,0.3086827,0.30771777,0.31997123,0.3373411,0.34732607,0.3407826,0.320624,0.30247402,0.30625296,0.33673465,0.37890276,0.40332142,0.39372316,0.35347095,0.30527684,0.26833144,0.25267223,0.2558798,0.270906,0.28919613,0.3048146,0.317281,0.33135077,0.35125998,0.3752425,0.39322272,0.39611518,0.38155702,0.3575929,0.33358932,0.315901,0.30518785,0.30076918,0.30164835,0.3069488,0.31663653,0.33270502,0.35858658,0.39071062,0.41736522,0.42232814,0.40255496,0.368567,0.33893684,0.32226145,0.3170911,0.3157797,0.31339192,0.30802223,0.3010007,0.29633474,0.30054584,0.3166622,0.3404928,0.35926655,0.36277413,0.350564,0.3355287,0.33357823,0.35111833,0.37868667,0.39522314,0.3861525,0.35390875,0.32009923,0.308344,0.32994542,0.37438336,0.41830614,0.43937743,0.43209657,0.40780556,0.38678956,0.3844521,0.40192625,0.426531,0.43771517,0.42556584,0.39535692,0.36667147,0.35497323,0.3631756,0.38040125,0.390717,0.38492104,0.3649571,0.34371772,0.33516458,0.34546027,0.36948493,0.39334106,0.40540382,0.40084466,0.38375506,0.35957935,0.33221164,0.30300343,0.27203214,0.23913735,0.20470499,0.1734343,0.15328778,0.15194918,0.16935384,0.19800074,0.22661948,0.24800463,0.26004946,0.26466346,0.26374602,0.2586017,0.24987595,0.23782349,0.22222497,0.2037013,0.18589576,0.17580146,0.17916471,0.19594254,0.21847779,0.23780183,0.24853687,0.2520592,0.25234994,0.25307038,0.25481486,0.25585458,0.25361258,0.24694405,0.23778768,0.22998472,0.22636889,0.22623368,0.22620863,0.22364779,0.21825254,0.21173526,0.20563464,0.2013799,0.19995861,0.20182694,0.20604102,0.21152286,0.21843368,0.22846259,0.2417587,0.25506464,0.2625304,0.26071462,0.25102577,0.2386428,0.22870831,0.2247438,0.22871166,0.23979394,0.25342992,0.26254907,0.26280653,0.25537953,0.24549936,0.23804511,0.2345316,0.23378456,0.23307908,0.23075293,0.22622891,0.22071582,0.21538855,0.21136463,0.20887351,0.20797001,0.20819455,0.20924985,0.21072854,0.21251272,0.21401381,0.2148435,0.21442538,0.2127107,0.20956665,0.2063496,0.20610644,0.21284588,0.22783725,0.24775426,0.26658532,0.28089866,0.29350826,0.3124508,0.34348682,0.38302246,0.41679665,0.4303372,0.42054126,0.39901826,0.38276526,0.38154134,0.3928648,0.40550378,0.40910974,0.40019977,0.3850688,0.37378672,0.37568817,0.3888346,0.40299022,0.40121317,0.3782085,0.34143737,0.31165507,0.30582914,0.32798094,0.3664948,0.39952648,0.4123694,0.40185833,0.38062403,0.36072162,0.35003033,0.34686956,0.34764495,0.34833702,0.34813818,0.3485526,0.35352805,0.36543486,0.3830582,0.4000024,0.4095627,0.40828836,0.39852282,0.38542303,0.37393108,0.3668007,0.36407712,0.36395606,0.3633964,0.36209556,0.36318037,0.3734871,0.39314726,0.4143397,0.42100883,0.40711614,0.37810326,0.35062966,0.33454153,0.3313407,0.334486,0.3386208,0.34095684,0.34207153,0.34451592,0.35185266,0.365675,0.3829422,0.39604703,0.3978612,0.38671634,0.36775544,0.34844542,0.33450678,0.32750145,0.32619607,0.32706717,0.32652107,0.3239725,0.32400355,0.33511558,0.35846385,0.38444257,0.39345172,0.3766438,0.34001616,0.3035965,0.2807407,0.27464,0.27844143,0.28530416,0.2900119,0.29113984,0.29114974,0.29713592,0.3143913,0.34136057,0.36644533,0.37829217,0.37246278,0.35597944,0.33832988,0.32672307,0.32207894,0.32242772,0.32362428,0.32215384,0.31823358,0.3177266,0.3305465,0.35762307,0.38817883,0.3998494,0.38259736,0.34178403,0.29918465,0.26955864,0.25789344,0.2583702,0.26523507,0.27398387,0.28213847,0.28969422,0.29974595,0.3156141,0.3355628,0.35145673,0.35539925,0.3463792,0.3314536,0.3187048,0.31206164,0.30972496,0.30759764,0.30151308,0.29008973,0.27689302,0.2703711,0.28086686,0.30846617,0.3415545,0.35821223,0.34903026,0.31948698,0.2894844,0.27131808,0.26745704,0.2712135,0.2770977,0.28218102,0.28684804,0.29409698,0.30940744,0.33483434,0.36602163,0.39035323,0.39814785,0.3867925,0.36456224,0.34052947,0.32147476,0.30803087,0.298879,0.29164597,0.2855599,0.28309047,0.29021403,0.31371477,0.35083222,0.3879088,0.40363017,0.38900125,0.35055384,0.30859527,0.27851546,0.26663268,0.26894388,0.27795336,0.28588712,0.28892827,0.2899265,0.29739335,0.317227,0.34633946,0.37123337,0.37976524,0.36899826,0.34760103,0.3263619,0.31166294,0.3041716,0.30170545,0.30185518,0.30282283,0.30632234,0.31772766,0.341782,0.37315544,0.39585805,0.39300963,0.36310866,0.32065013,0.28516945,0.26595756,0.26060882,0.2617037,0.26362714,0.26477635,0.26633736,0.27227536,0.28783438,0.31444183,0.34625506,0.36969638,0.37450966,0.35980844,0.3358221,0.31380627,0.30000845,0.29436207,0.29359475,0.29450887,0.2953713,0.2985002,0.30946907,0.33219078,0.36173412,0.3838381,0.38416186,0.36053872,0.32629335,0.3024155,0.30449632,0.33148095,0.36649778,0.38560855,0.37745938,0.34894034,0.32107255,0.31146514,0.32407668,0.34953985,0.3713973,0.37901613,0.37043616,0.35397425,0.3376567,0.32583007,0.31691375,0.30842546,0.29890224,0.29047653,0.2881243,0.29920933,0.32621214,0.36271802,0.39219415,0.40042177,0.38503417,0.3582672,0.3361099,0.32821497,0.3343824,0.3476908,0.35982287,0.36501566,0.3636174,0.360909,0.36365426,0.3730477,0.38440004,0.38916865,0.38397828,0.37135437,0.35854983,0.34986857,0.34569058,0.343225,0.33943427,0.33255747,0.3236325,0.3178424,0.32314226,0.3424604,0.36910033,0.3863504,0.38265502,0.35901806,0.33096603,0.3123878,0.30851743,0.31339052,0.31970865,0.32239303,0.32163444,0.32019052,0.32268003,0.33265328,0.34964845,0.3683065,0.37994698,0.3793924,0.36693642,0.34859988,0.33026564,0.31610832,0.30716762,0.3028856,0.30126545,0.30236885,0.30926025,0.3288467,0.36036444,0.39391991,0.40912202,0.39735392,0.36364797,0.32790777,0.30263743,0.2915169,0.28904155,0.29073825,0.29374805,0.2973578,0.30361536,0.31655344,0.33877683,0.36621383,0.38893571,0.3980867,0.39285037,0.38028124,0.36829638,0.3601079,0.3545051,0.3494556,0.3439443,0.3374646,0.33193982,0.3326557,0.3479748,0.3776398,0.4101278,0.4235456,0.40782833,0.36883482,0.32835653,0.3024539,0.29733303,0.30701494,0.32277825,0.3357215,0.34157094,0.34227583,0.34558454,0.3582392,0.37966684,0.40017843,0.40891662,0.40196538,0.3854501,0.3689284,0.35855946,0.3541764,0.3526837,0.3507699,0.34725174,0.34410158,0.34701958,0.36406222,0.3951592,0.42989004,0.4470767,0.43659735,0.40294328,0.36675087,0.34262195,0.33525062,0.33836576,0.34553137,0.35262522,0.3583854,0.36391795,0.37227026,0.3861152,0.40362898,0.41692922,0.4176699,0.40342295,0.38075903,0.35872376,0.34271607,0.33157536,0.32211602,0.31250852,0.30373144,0.2994535,0.30534542,0.32846418,0.36684337,0.4078282,0.42859626,0.4184737,0.38299727,0.34351578,0.31545958,0.3032504,0.30033025,0.29909202,0.2950839,0.2889011,0.2858149,0.29380512,0.31703973,0.3514953,0.383855,0.4019715,0.40233883,0.39398193,0.38984516,0.39827237,0.41581646,0.4295425,0.4254589,0.40030214,0.3654461,0.3401458,0.33853552,0.36011532,0.3912674,0.41320562,0.41493478,0.39890304,0.3797715,0.37420115,0.38700318,0.40804473,0.41650108,0.40179476,0.36997786,0.34264407,0.33792916,0.3582964,0.3898239,0.41063726,0.40965232,0.39028728,0.37015343,0.36340997,0.3741567,0.39387143,0.40952858,0.41206726,0.40114078,0.38667724,0.38101026,0.39243975,0.4157683,0.4364231,0.43715414,0.41408303,0.37860346,0.35203794,0.35105205,0.37561086,0.41080463,0.43172345,0.42632723,0.39787075,0.3680209,0.35442528,0.36394143,0.38668212,0.4066074,0.4121274,0.4041619,0.39539972,0.4004856,0.4238688,0.45699343,0.48242858,0.48950922,0.47905543,0.46437848,0.45817474,0.46630883,0.48343846,0.4984946,0.5010883,0.48886147,0.46776846,0.44758475,0.43471885,0.43023548,0.4304385,0.42979205,0.42279157,0.4080297,0.39074123,0.38279176,0.39365673,0.4230843,0.45748636,0.48120153,0.48530027,0.47287062,0.45188963,0.4297339,0.4098393,0.3924046,0.37592682,0.3602232,0.34931815,0.35213968,0.37441108,0.41273522,0.45115915,0.47355103,0.4721576,0.45274827,0.42587176,0.40072426,0.38209128,0.3718722,0.36942008,0.37140146,0.37420306,0.3770651,0.38396907,0.39765486,0.41459998,0.422048,0.40962163,0.3774314,0.34015062,0.3147912,0.3107214,0.32448044,0.3449891,0.36126992,0.3690721,0.37271282,0.38219234,0.40262064,0.42916027,0.44576514,0.44113335,0.41490313,0.38088727,0.35304606,0.3413848,0.34862712,0.37341917,0.40895852,0.44453147,0.47044924,0.48294255,0.48579785,0.48400858,0.47953108,0.46737576,0.443354,0.4078333,0.37117532,0.3453976,0.3396041,0.35234165,0.37582934,0.39971992,0.4199927,0.4388399,0.46193922,0.4881772,0.5085301,0.50942963,0.48583743,0.44448984,0.40221214,0.3749946,0.37118158,0.38666907,0.40751496,0.41811135,0.41165498,0.39355293,0.3763826,0.3706703,0.37897384,0.39509103,0.40753528,0.40802643,0.3963605,0.38164866,0.374985,0.38384733,0.40767685,0.43820822,0.46372834,0.47663346,0.47949564,0.48315427,0.49512336,0.51244235,0.5216616,0.513503,0.48700035,0.45013988,0.4094604,0.3711373,0.34024394,0.32084063,0.3104056,0.3019739,0.29148743,0.28502876,0.2938886,0.323491,0.36531547,0.40199447,0.4196699,0.415318,0.39602935,0.37120268,0.34981707,0.33673334,0.3333446,0.33584425,0.34142014,0.35082135,0.37084404,0.4022075,0.43637764,0.4540347,0.44539443,0.41450286,0.38012478,0.35619625,0.347154,0.34672642,0.34727266,0.34347978,0.3357176,0.32961524,0.33353305,0.35177115,0.37968323,0.40448597,0.41352907,0.4026759,0.3779504,0.35071364,0.33089387,0.3239753,0.3298825,0.34383905,0.35843387,0.36964616,0.37977135,0.39695752,0.42194608,0.44483528,0.44545224,0.4156877,0.36324444,0.310828,0.2744447,0.2589775,0.25825763,0.26511428,0.2741001,0.28294542,0.2922716,0.30577406,0.32608712,0.35078916,0.37024924,0.37451622,0.3602418,0.3339274,0.3062226,0.28533295,0.2735821,0.26888207,0.2673235,0.26578617,0.26533607,0.2720635,0.29577407,0.33659086,0.38149807,0.4042386,0.391167,0.34964478,0.31041327,0.30161044,0.33174995,0.38236952,0.42097214,0.4250677,0.39616814,0.35816038,0.33780992,0.34680405,0.37815762,0.41165403,0.43007445,0.42593268,0.40587437,0.38217285,0.36692217,0.3662889,0.3794751,0.39878452,0.41369352,0.41829824,0.41651452,0.42022625,0.43623343,0.45942768,0.47217116,0.46258602,0.43080473,0.39172745,0.36031595,0.34680212,0.35215482,0.37074554,0.39289317,0.4101874,0.42085662,0.42921892,0.4395932,0.45057607,0.4541985,0.4440225,0.41990745,0.3914717,0.37045956,0.3663988,0.37970772,0.40431562,0.43010387,0.45024356,0.46361148,0.47425103,0.4866301,0.49898648,0.5037376,0.49014118,0.4556413,0.40619662,0.35617518,0.31808126,0.2997104,0.29974642,0.31004533,0.31979594,0.32345662,0.32456222,0.333239,0.35560188,0.38783005,0.41557673,0.42674223,0.41880655,0.4014,0.38642827,0.38130137,0.3860741,0.39605856,0.40549955,0.4105192,0.41226217,0.41652235,0.42988738,0.45213,0.4736483,0.48012063,0.46404043,0.43045342,0.39362803,0.3670468,0.35605642,0.35805842,0.36595628,0.3731996,0.37653306,0.3776052,0.38250422,0.39575967,0.41576493,0.43157148,0.43176302,0.41202533,0.38073632,0.35176945,0.33669814,0.3376528,0.34849226,0.35857216,0.35981247,0.3522379,0.34573516,0.3542434,0.38278046,0.42067432,0.44627497,0.44515395,0.41977012,0.38698813,0.3636758,0.3575108,0.36520934,0.37742075,0.38526264,0.3862054,0.38475403,0.3896861,0.40442848,0.42541897,0.44040465,0.44099644,0.42447352,0.39939192,0.37549344,0.36267838,0.36317644,0.37402415,0.38648108,0.39432457,0.39782655,0.40491232,0.42171407,0.44442186,0.4584242,0.45059013,0.4208733,0.3833796,0.35447183,0.3416195,0.34122732,0.34479275,0.3445939,0.3370694,0.32386756,0.31270826,0.31475747,0.3364137,0.37331808,0.40944648,0.4298823,0.42877814,0.41324648,0.3936272,0.37793276,0.36825204,0.3633491,0.36041832,0.35826644,0.35922483,0.36964226,0.39320913,0.42541853,0.45110658,0.45545313,0.43347204,0.39502716,0.3556981,0.32841897,0.3174607,0.32045725,0.33043513,0.3400382,0.34503397,0.3472098,0.35357288,0.36917672,0.3928732,0.41460332,0.42565858,0.42259988,0.41172037,0.3998495,0.39155734,0.3856496,0.379786,0.37241516,0.3659717,0.36598095,0.37920722,0.40491185,0.43232808,0.4423157,0.42458126,0.38490078,0.34471428,0.32330784,0.3268367,0.3459427,0.36446142,0.37070182,0.36259773,0.34904304,0.3426669,0.355196,0.38872853,0.43614197,0.4814655,0.51192635,0.5229154,0.5210617,0.5168364,0.51557946,0.5154303,0.5070948,0.48770568,0.46109894,0.44043195,0.433805,0.44178692,0.4558289,0.46528637,0.46288586,0.44715038,0.4249085,0.40777108,0.40612575,0.4192845,0.4346454,0.43702456,0.42244437,0.40052935,0.38655493,0.38894045,0.40575585,0.42687806,0.4406782,0.43993548,0.42477265,0.40354452,0.38777128,0.38594136,0.39615455,0.40702996,0.40678585,0.39454117,0.3819008,0.38453433,0.4067587,0.43958473,0.46389294,0.469974,0.45931277,0.44507957,0.4350114,0.42991206,0.42364457,0.41128466,0.39140347,0.3662542,0.34231985,0.32782623,0.32957494,0.3461679,0.36748466,0.3803362,0.37816885,0.3652461,0.35170016,0.34636185,0.35161945,0.36489877,0.38003576,0.39073336,0.3942668,0.39471248,0.40282774,0.42435107,0.4543942,0.47403428,0.47010598,0.44180584,0.40594366,0.37751806,0.36387673,0.36002743,0.35990378,0.35966563,0.36102524,0.3665607,0.3792273,0.39814234,0.4190928,0.43284893,0.4318297,0.41397098,0.3864316,0.35978505,0.3432982,0.3396155,0.34611395,0.35594448,0.36312452,0.36650303,0.37209854,0.38981283,0.42081848,0.4545212,0.47026244,0.4586942,0.42362764,0.3813015,0.34187987,0.31032893,0.2862033,0.2701303,0.26034582,0.25478292,0.25278485,0.25932816,0.27898556,0.3101606,0.3403794,0.35576415,0.35017088,0.33110228,0.31226024,0.30541018,0.31373665,0.33267304,0.35269335,0.36516538,0.3685311,0.36990085,0.38185164,0.40755752,0.4374839,0.44997552,0.43514788,0.39946356,0.36553037,0.34878007,0.35103738,0.3619523,0.37162924,0.37793764,0.38421187,0.39575163,0.41388622,0.43629792,0.45660743,0.4669294,0.46165338,0.44053364,0.41081822,0.38314736,0.36817384,0.37095484,0.3901813,0.41749898,0.4417635,0.45502242,0.45711794,0.45626697,0.45782056,0.4605143,0.45336342,0.43245506,0.40140066,0.37322173,0.35426617,0.34561145,0.34258214,0.34275547,0.3431697,0.3417777,0.33719012,0.3339438,0.33669123,0.3466494,0.35502955,0.3538898,0.34076723,0.32406494,0.3136398,0.31662205,0.33245584,0.35343227,0.36781576,0.36700198,0.35429025,0.34421322,0.3532535,0.38435242,0.4231154,0.44606698,0.43957576,0.40726998,0.36669448,0.33458254,0.31987476,0.32130417,0.33217415,0.34393013,0.35175765,0.3566823,0.36513385,0.38079548,0.40074334,0.4138472,0.4119064,0.39386788,0.36867186,0.34552705,0.33058,0.324748,0.32758594,0.33777022,0.3533106,0.372618,0.39647475,0.4264647,0.45877597,0.48111978,0.47950172,0.45058766,0.40591764,0.36325204,0.33405522,0.31891593,0.31221744,0.30833828,0.30465293,0.3020819,0.30386373,0.31489947,0.33518824,0.3588263,0.37256178,0.36873913,0.34861562,0.32581738,0.31387454,0.32157126,0.34767914,0.38488343,0.42262456,0.45332098,0.47518936,0.49236035,0.50671124,0.5145071,0.5060926,0.47848043,0.4393264,0.40733072,0.3982154,0.41707575,0.45188665,0.4823641,0.48974362,0.47128317,0.4386121,0.41064,0.3996173,0.4069099,0.4244286,0.4392029,0.44035777,0.4228253,0.39244857,0.36269975,0.34893313,0.35836133,0.38595906,0.41839528,0.44485903,0.46430293,0.48411074,0.5071173,0.52535194,0.5205942,0.48295653,0.4184017,0.35052028,0.30241868,0.28772974,0.3039408,0.3394836,0.37874305,0.4101781,0.42963955,0.4408469,0.45084953,0.46326742,0.47622737,0.48308817,0.4804918,0.46978042,0.45814046,0.44993052,0.4453397,0.4384042,0.42428073,0.40180287,0.37750623,0.36152875,0.3644863,0.38786137,0.4233159,0.45378613,0.4680976,0.46436247,0.4506651,0.4331722,0.4156569,0.39936563,0.38717082,0.37974596,0.37557936,0.37240556,0.37199032,0.3789371,0.3950086,0.41506505,0.42853093,0.42913398,0.41866174,0.40590465,0.39726904,0.3931558,0.38906252,0.38028562,0.365505,0.34855738,0.33844766,0.3465717,0.37554157,0.4158251,0.44607222,0.45328078,0.43708178,0.41136613,0.38648033,0.3675101,0.3529651,0.3422127,0.33418378,0.32846105,0.32560408,0.32927337,0.343424,0.36747435,0.39369246,0.4111425,0.41345373,0.40240756,0.38568315,0.37082878,0.36184716,0.35885063,0.3589983,0.3583852,0.35554805,0.35443696,0.36539698,0.3941168,0.43645296,0.47365856,0.49169886,0.4867873,0.4716353,0.45787585,0.45252144,0.45370197,0.45817938,0.46271792,0.46638128,0.4698467,0.47502077,0.48241174,0.4905596,0.49588358,0.4964279,0.49250302,0.48847094,0.48897648,0.49815002,0.5122077,0.5227328,0.517549,0.49547747,0.4639503,0.43865132,0.4288093,0.43600902,0.45266047,0.46841672,0.47594038,0.47513902,0.47364724,0.48067138,0.49860677,0.52039367,0.53234696,0.527025,0.5073235,0.4867188,0.47748378,0.4841652,0.50025886,0.5134864,0.51376987,0.50006795,0.48004094,0.46433535,0.45894444,0.4632717,0.47112405,0.47588646,0.47424045,0.4692699,0.46773073,0.47625396,0.49236774,0.5068097,0.50574064,0.48716986,0.459422,0.44039357,0.44083658,0.459895,0.4843754,0.49747798,0.4917126,0.471305,0.4505562,0.44027212,0.44384727,0.45547804,0.46602413,0.4678495,0.45948425,0.44711566,0.44089568,0.4477212,0.46493372,0.48119938,0.48470452,0.4729123,0.4548246,0.44412157,0.4499155,0.46842647,0.48736286,0.49110532,0.4763577,0.45004115,0.42786953,0.41937354,0.42616713,0.4410453,0.45402753,0.45868826,0.45519376,0.4513646,0.4559636,0.4712739,0.49000368,0.49838772,0.48919943,0.46636733,0.44561377,0.44131842,0.45793125,0.48473015,0.50287837,0.4983215,0.47210956,0.43912867,0.4160428,0.4106655,0.41963792,0.43403864,0.4450829,0.4486041,0.44666365,0.44658804,0.45714736,0.47855997,0.5013303,0.507827,0.49089634,0.45704424,0.42633954,0.41493535,0.42779693,0.45729336,0.48880872,0.51077944,0.51819056,0.51684994,0.5161483,0.5224977,0.5322519,0.5339902,0.51904815,0.48947144,0.45848283,0.43992257,0.43906394,0.44926164,0.45666814,0.44969332,0.42639542,0.39518628,0.36745372,0.34945536,0.34075212,0.33746377,0.3368521,0.33745,0.3387177,0.33927724,0.33713078,0.32973346,0.31548262,0.29546323,0.27366868,0.2559273,0.2457915,0.24280788,0.24248397,0.24058877,0.23539253,0.22780235,0.21860404,0.20791072,0.196429,0.18730806,0.18468875,0.19036327,0.20156078,0.21242934,0.21830654,0.21825731,0.21494474,0.21158926,0.20975427,0.20915975,0.20880288,0.20853357,0.20819974,0.20744711,0.20501037,0.20023511,0.19336414,0.18551122,0.17766994,0.17039882,0.16473617,0.16232823,0.1648426,0.17139108,0.17843585,0.1816322,0.17950404,0.17421038,0.16946803,0.167422,0.167552,0.1678121,0.16667391,0.1639009,0.16050236,0.15750717,0.15567727,0.15499176,0.1552576,0.15603742,0.15725219,0.15898116,0.16169678,0.165677,0.17071009,0.17579901,0.1793264,0.17991857,0.17681058,0.17123453,0.16540937,0.16213666,0.16182095,0.16333444,0.16446252,0.16453111,0.16371168,0.1626227,0.16147564,0.16047929,0.15997364,0.16109978,0.16777922,0.18724817,0.22598357,0.27958718,0.33114937,0.3590703,0.35800472,0.3422475,0.339669,0.36619058,0.41782084,0.46940818,0.49570128,0.4850205,0.4490982,0.41190708,0.3968914,0.40789652,0.43038753,0.43667042,0.4123832,0.36311173,0.3161151,0.29756165,0.31647733,0.35850918,0.3945112,0.4048619,0.3876278,0.36034322,0.33856186,0.32983005,0.33042207,0.33501217,0.33893737,0.34023547,0.3383433,0.33361754,0.32600915,0.31467572,0.29861727,0.2779015,0.2540258,0.22959131,0.20723207,0.18962073,0.17830217,0.1736846,0.17341568,0.17449117,0.17421697,0.172673,0.17094825,0.17028005,0.1705672,0.17144744,0.17246519,0.17334501,0.17337109,0.17221616,0.17064352,0.17053474,0.17297345,0.17647876,0.17802776,0.17560019,0.17058979,0.16602771,0.16423255,0.16479065,0.1660132,0.16624318,0.16502221,0.16272606,0.1612251,0.16264136,0.16835417,0.17618185,0.1824072,0.18389286,0.18133795,0.17744601,0.1746083,0.17324977,0.17242956,0.17140211,0.1696397,0.16735,0.16525559,0.16523595,0.1688314,0.17582662,0.18317848,0.18727155,0.18650414,0.18276465,0.17915164,0.17738014,0.1762442,0.17407541,0.17045367,0.16758423,0.16706139,0.16949065,0.1733759,0.17813449,0.1829562,0.18730359,0.18943109,0.18831168,0.1842785,0.17940192,0.17623626,0.17621732,0.17928272,0.1865813,0.20285596,0.23746069,0.29135743,0.3521038,0.3918264,0.39402947,0.36382905,0.33221385,0.32972288,0.36935446,0.43654215,0.4982984,0.52461845,0.5055737,0.45903555,0.41439342,0.39386246,0.39712754,0.40646803,0.40141836,0.37594512,0.3424809,0.32245517,0.33250883,0.36933598,0.41429174,0.43926048,0.43387058,0.40365615,0.36991802,0.3437793,0.32837674,0.31865564,0.31329516,0.3116349,0.3128012,0.3145015,0.3153082,0.31470737,0.31145158,0.30322456,0.28874257,0.27039233,0.25332657,0.24227946,0.23814453,0.23855984,0.23988669,0.23965918,0.23650406,0.23036325,0.22221635,0.21489222,0.21147887,0.21377535,0.2200368,0.22645819,0.22953694,0.22890173,0.22655378,0.22438915,0.2223394,0.21936171,0.21581477,0.21344928,0.2132106,0.21334572,0.21104772,0.20515127,0.19717932,0.189364,0.18287927,0.17766935,0.17382424,0.17235358,0.17436534,0.17965788,0.18572277,0.18917249,0.18778044,0.18207876,0.17447865,0.16737847,0.16193622,0.15792084,0.15465438,0.15133677,0.14778282,0.14434336,0.14200376,0.14148025,0.14276296,0.14501792,0.14727831,0.14927386,0.15154518,0.15524258,0.16095884,0.16845685,0.17620695,0.18233836,0.18502401,0.18388045,0.18034303,0.17717974,0.17635204,0.1773354,0.17798011,0.17657273,0.17351317,0.17025702,0.1679892,0.16663243,0.1655125,0.1642799,0.1663397,0.17925805,0.21344022,0.26800773,0.32830533,0.36714533,0.37276515,0.35414863,0.34189233,0.35655138,0.39932922,0.44646433,0.47280833,0.4647692,0.43228045,0.39667222,0.37949646,0.38441858,0.39923406,0.40069428,0.3760929,0.32966205,0.28421974,0.26389626,0.28008088,0.3223836,0.3650442,0.38522968,0.37786856,0.35602093,0.33635902,0.326457,0.324684,0.3261679,0.32817012,0.32910296,0.32871735,0.3277795,0.3288763,0.33328715,0.33991337,0.34455705,0.3444601,0.33962822,0.33367643,0.33047447,0.33212876,0.33782837,0.3438964,0.34656298,0.34393263,0.33854434,0.3353379,0.33822426,0.34643543,0.35469818,0.357759,0.35423744,0.34777617,0.34365454,0.34577897,0.35380065,0.3635966,0.36861232,0.36529493,0.35584268,0.34833983,0.35122108,0.36563134,0.3844242,0.39447162,0.38951576,0.3729019,0.35866228,0.3594897,0.37877834,0.40760803,0.42945468,0.4338183,0.42053095,0.40162992,0.38981938,0.3920202,0.40530202,0.41927743,0.4246668,0.41739163,0.40350136,0.39235532,0.39209285,0.40168485,0.41248727,0.4135131,0.4005512,0.3790144,0.36032918,0.3541758,0.3628545,0.3803837,0.39627555,0.40262708,0.39980474,0.39626357,0.4030672,0.42252234,0.4462683,0.45749283,0.44791725,0.42167208,0.39515707,0.38191628,0.38650975,0.40272284,0.41911614,0.4261516,0.42131564,0.4119083,0.410087,0.42312112,0.4457389,0.46070135,0.45269248,0.42042264,0.38082126,0.3567158,0.3623143,0.39302972,0.4291635,0.4482449,0.43995842,0.41273603,0.38671276,0.38121644,0.39784658,0.422989,0.4327333,0.41785756,0.3849558,0.35693422,0.35169208,0.37273479,0.4061931,0.4282759,0.42498156,0.3968011,0.36099997,0.33184686,0.31622955,0.31039485,0.30955318,0.31011048,0.3117123,0.31613377,0.32668567,0.3452251,0.3692533,0.391077,0.40225807,0.39913023,0.3851633,0.36788926,0.3534108,0.34417447,0.33887842,0.3353305,0.3314686,0.32892755,0.33274683,0.35062492,0.38141915,0.4135578,0.42601696,0.4101542,0.3723127,0.3332753,0.30612135,0.29437134,0.29166338,0.293056,0.2953314,0.29852697,0.30429807,0.31638622,0.3361217,0.35966435,0.3769994,0.3798699,0.3669455,0.34579656,0.32593137,0.3138199,0.31031978,0.3127437,0.3170586,0.32039583,0.32392487,0.33268714,0.35318837,0.38275596,0.40947127,0.4146566,0.39337337,0.35445073,0.31851956,0.29673436,0.29075682,0.29307726,0.29836118,0.30286756,0.30648097,0.31092677,0.32129744,0.3404137,0.36571693,0.38674787,0.39436734,0.38597322,0.3687687,0.3513417,0.33953166,0.33341327,0.33101496,0.32959607,0.32741678,0.32566527,0.32887813,0.34447762,0.37152025,0.39977607,0.4095622,0.39332446,0.35688284,0.32002088,0.2955785,0.28809583,0.29227486,0.30232084,0.3127507,0.3214209,0.32947823,0.3417792,0.36069024,0.38306478,0.3984131,0.39906716,0.38433602,0.36320344,0.34417355,0.33154538,0.32304883,0.31598818,0.30896762,0.30331385,0.30236015,0.3113189,0.33576563,0.37229183,0.40759596,0.42092988,0.40506837,0.36797717,0.3307532,0.3061706,0.29722765,0.29726264,0.30085617,0.3041452,0.30714926,0.3119708,0.32391658,0.34506834,0.3720481,0.39360526,0.4010742,0.39224926,0.37431213,0.35509953,0.34031358,0.33091155,0.32593572,0.3227375,0.3199925,0.319766,0.3284689,0.35127556,0.3834958,0.4102224,0.41481885,0.3953766,0.36367616,0.3372465,0.32282177,0.31804705,0.31557313,0.31197453,0.3070786,0.3042793,0.30795655,0.32312414,0.34925696,0.37967703,0.4007648,0.40437007,0.39038035,0.3694506,0.35033166,0.3378264,0.33012652,0.32545725,0.3220147,0.31993398,0.32199928,0.33471456,0.36319998,0.40156564,0.43190292,0.43493053,0.4078525,0.36536217,0.3286471,0.3085904,0.3044194,0.30884376,0.3153471,0.3197219,0.32112166,0.32298997,0.33254865,0.35405806,0.38377213,0.40823582,0.41608486,0.4045328,0.38281336,0.3613986,0.3475668,0.34194574,0.3425343,0.34543207,0.3483344,0.3527768,0.36535978,0.39085624,0.42416275,0.44904196,0.44967222,0.42513025,0.3912703,0.37021327,0.37359527,0.39623424,0.42002997,0.42722198,0.41249022,0.3851104,0.3612618,0.35308063,0.36203876,0.3814763,0.39964017,0.40922928,0.40771258,0.3995278,0.38785255,0.37480655,0.36031142,0.34656227,0.33629337,0.33304182,0.33951578,0.35998127,0.39347407,0.4320251,0.45772195,0.4590143,0.43618974,0.40427005,0.3761544,0.35719514,0.34404698,0.33348715,0.32477817,0.31918356,0.31861433,0.32567087,0.34351742,0.3707364,0.39889482,0.41434887,0.40934753,0.38711798,0.3599147,0.33841285,0.3267968,0.32310236,0.3237243,0.32540253,0.3280168,0.33490846,0.3531915,0.38388112,0.41853127,0.438401,0.43236563,0.40307727,0.36764356,0.3405577,0.32757044,0.32505083,0.327742,0.33160117,0.33496952,0.338575,0.34631887,0.3624904,0.38710347,0.41207716,0.4256077,0.42065248,0.40083846,0.37665763,0.35752726,0.34633267,0.34106788,0.33816063,0.33552122,0.3346684,0.34088513,0.3620137,0.3973367,0.4352374,0.45381334,0.4422951,0.40573898,0.36485037,0.33493719,0.32093558,0.31677827,0.31603634,0.31477317,0.31314418,0.3137271,0.32082355,0.3376322,0.3623837,0.38696924,0.40059972,0.3977507,0.38144562,0.36046132,0.3421179,0.32906714,0.32049546,0.31492284,0.31176996,0.31273386,0.32171664,0.34449413,0.3791763,0.41513756,0.43274474,0.42299128,0.38966942,0.35045493,0.3187237,0.3023593,0.30135608,0.31317547,0.33080825,0.34630987,0.35570157,0.36290172,0.3755609,0.39627996,0.41870257,0.43181047,0.43001747,0.41633725,0.39873004,0.38222194,0.36703932,0.35170016,0.3361133,0.32208732,0.3129414,0.31390893,0.33225536,0.367098,0.40672037,0.42835304,0.42144558,0.3916327,0.3605324,0.3415858,0.33701718,0.33841,0.33975542,0.33878466,0.33779725,0.34072694,0.3528756,0.37620625,0.4067979,0.43380836,0.44774237,0.4460812,0.43532887,0.4234108,0.4144812,0.40767968,0.40085253,0.39311552,0.38482657,0.37951168,0.38287136,0.40270278,0.4355563,0.467899,0.4771442,0.4581523,0.42073992,0.38783038,0.36864278,0.36215165,0.3593274,0.35721627,0.356156,0.35824105,0.36464202,0.37697503,0.3956363,0.4169673,0.43271446,0.4357148,0.42660305,0.4150621,0.41399047,0.42888066,0.45276383,0.46885514,0.4638263,0.43824503,0.4069183,0.3878782,0.39044634,0.41028872,0.43314448,0.4430358,0.43310866,0.41024402,0.39178672,0.39425912,0.4185796,0.4494473,0.46136725,0.4431034,0.40278745,0.36685526,0.3573357,0.37898698,0.4159561,0.4422795,0.4420892,0.4181088,0.39042673,0.3779818,0.3864777,0.40623757,0.42140222,0.42210487,0.40893045,0.39267552,0.3862144,0.39833388,0.424268,0.44845167,0.45112368,0.42768875,0.39104533,0.3664378,0.37238565,0.4073883,0.45080546,0.471987,0.4578186,0.41714308,0.3790313,0.36438096,0.37708703,0.40324345,0.42526636,0.43287826,0.4269922,0.41938472,0.42350736,0.44431296,0.47051343,0.48016736,0.45768988,0.4078578,0.35467747,0.32538262,0.33384907,0.37173018,0.41447565,0.43455836,0.42176127,0.38535574,0.3468245,0.319561,0.3056495,0.29888523,0.29480162,0.29207367,0.29098523,0.2912371,0.291877,0.2920681,0.29146063,0.28961813,0.28656363,0.2824839,0.27833942,0.274753,0.27220288,0.27082917,0.2707075,0.27137852,0.27172613,0.2706313,0.26780748,0.2637215,0.25892103,0.25364637,0.24850805,0.24477236,0.24352384,0.24442267,0.24558628,0.24529092,0.24328578,0.2406768,0.23835653,0.23634683,0.23449625,0.23330246,0.233446,0.23470677,0.23586178,0.23598938,0.23514533,0.23409145,0.23312086,0.23217118,0.2312025,0.23041606,0.22979885,0.22883576,0.22725563,0.22542773,0.22425985,0.22411992,0.22438653,0.22416376,0.22299343,0.2214325,0.22006391,0.21942975,0.21954465,0.22038217,0.22149684,0.22230498,0.22234847,0.2217684,0.22106908,0.22057533,0.22006214,0.21910304,0.21745674,0.21536444,0.21320951,0.21137439,0.2099212,0.20865242,0.20711696,0.20499569,0.20225544,0.19938524,0.19705637,0.19618773,0.19712274,0.19951315,0.20195799,0.20324683,0.20317559,0.2026658,0.20274647,0.20344453,0.20417531,0.20424555,0.20358473,0.20237349,0.20098054,0.19994055,0.19980474,0.20083578,0.20266764,0.2048366,0.20723642,0.2100337,0.21302126,0.21537328,0.21641304,0.21629228,0.21579443,0.215439,0.21482575,0.21336049,0.21075065,0.20756012,0.20424588,0.20112316,0.19824648,0.1958276,0.19409068,0.19262005,0.19095385,0.18860643,0.1861155,0.18379545,0.18181472,0.17954676,0.17692834,0.17427008,0.17218225,0.17039199,0.16835131,0.1657369,0.16324736,0.16162874,0.16111715,0.16111507,0.16094409,0.16035329,0.15950246,0.15884012,0.15879117,0.15982531,0.16202487,0.16487662,0.16745318,0.16894607,0.1692859,0.1685415,0.16674238,0.1635673,0.15934068,0.15495288,0.15146698,0.1491167,0.1474391,0.14601292,0.14497207,0.14458634,0.1446575,0.14449048,0.14372174,0.14258887,0.14169414,0.14098589,0.13973303,0.1370936,0.13305968,0.12868813,0.12539756,0.12438673,0.12568884,0.12829801,0.13023107,0.12999433,0.12716348,0.122779824,0.118218996,0.1147207,0.11249169,0.11113334,0.10947195,0.10695788,0.1036643,0.100825846,0.099389635,0.09959071,0.1003348,0.100240655,0.0984908,0.09552439,0.09237098,0.08993579,0.08819192,0.086593054,0.084295906,0.081033,0.07714945,0.07365919,0.0716274,0.07140804,0.07241168,0.073182456,0.07263476,0.07049898,0.06765026,0.06515346,0.06382013,0.06346183,0.06312726,0.061260734,0.05705458,0.05101402,0.04533494,0.042510707,0.043716688,0.04770766,0.051442992,0.052591275,0.051034648,0.04888244,0.048062,0.049058665,0.05073232,0.051772747,0.051391277,0.049447637,0.045824673,0.040218834,0.032510605,0.023360351,0.014383576,0.0072561204,0.0028498338,0.0007887658,0.00013415821,1.0574283E-05,9.259092E-06,8.684605E-06,8.19445E-06,7.9878E-06,8.206192E-06,8.665219E-06,9.198091E-06,9.677406E-06,1.0199855E-05,1.0766281E-05,1.116283E-05,1.1053824E-05,1.0291574E-05,9.157567E-06,8.124575E-06,7.545245E-06,7.3837523E-06,7.392933E-06]