[0.00033970748,0.0013511959,0.0051450734,0.014299284,0.031772602,0.059831988,0.09921304,0.14759803,0.19887237,0.24456064,0.2782522,0.29902625,0.309889,0.31390905,0.3114635,0.30333558,0.29179397,0.28047606,0.26994178,0.25783038,0.24040926,0.21684271,0.19013333,0.16622345,0.15004398,0.14261562,0.13983779,0.13547426,0.12465298,0.10706391,0.08608062,0.06650082,0.051289916,0.040944368,0.03421888,0.029794723,0.026796585,0.024654573,0.022771418,0.020698072,0.018338574,0.015973894,0.0138934115,0.012192376,0.010728144,0.009391799,0.008219814,0.007373491,0.0068957857,0.0066380803,0.006342349,0.005875837,0.005282933,0.004715149,0.0042805984,0.0039893514,0.0037765868,0.003539384,0.0032219414,0.0028230355,0.0024252424,0.0021045858,0.0019097348,0.00181047,0.0017472036,0.0016543515,0.0015108004,0.001337048,0.0011748873,0.0010508584,0.0009602853,0.0008836279,0.0008082501,0.00073822687,0.00068241433,0.00064276654,0.0006133057,0.00058591133,0.0005560957,0.00052265445,0.00052151084,0.00092134374,0.003106173,0.010951921,0.030687382,0.06846731,0.12288452,0.18185313,0.22561131,0.24142636,0.23098232,0.20809175,0.18385665,0.16093151,0.13731778,0.115152836,0.101267815,0.10263791,0.122275315,0.15809143,0.20166343,0.23937659,0.2576444,0.25121048,0.22588784,0.19449656,0.16864276,0.15360914,0.1476671,0.14542937,0.1423977,0.13788803,0.13484342,0.13632345,0.14278434,0.15174884,0.16077803,0.16944174,0.17900229,0.18983065,0.20042105,0.2086056,0.21377207,0.21673356,0.21800856,0.21649915,0.21062142,0.20075983,0.18981336,0.18210019,0.18006258,0.18349655,0.18949288,0.19493574,0.19756554,0.1969345,0.19409573,0.19102983,0.18941395,0.18894947,0.18655576,0.1774232,0.15844975,0.131501,0.103684835,0.08278549,0.07227983,0.07036126,0.07725561,0.100627415,0.1544318,0.24096894,0.3417251,0.41912475,0.44625676,0.42133376,0.3695297,0.31651255,0.27642876,0.24827312,0.22868998,0.21592015,0.21126346,0.21346879,0.21861796,0.22008274,0.21383466,0.19972713,0.18233542,0.1666948,0.15559863,0.14797789,0.1411056,0.13308711,0.124275245,0.116206646,0.11071188,0.1096389,0.11549268,0.12955432,0.1490072,0.16541816,0.1688255,0.1545111,0.12656131,0.09487633,0.06836177,0.05091012,0.041417237,0.036813226,0.03420563,0.032023095,0.029710224,0.027316734,0.02494496,0.02340515,0.02477449,0.0329521,0.050740343,0.07738941,0.106555246,0.13069232,0.14486146,0.14985496,0.14932317,0.14793783,0.1500982,0.16064088,0.18214296,0.21232802,0.24248426,0.26319814,0.26910102,0.26275694,0.2498549,0.23585886,0.2226098,0.21054737,0.19987707,0.1912399,0.1849501,0.18027323,0.17632361,0.1723936,0.16976953,0.17160536,0.18275659,0.20589773,0.23898971,0.27440602,0.303056,0.3185537,0.31973717,0.30988356,0.29462674,0.27970195,0.2691991,0.26463762,0.26537475,0.26923442,0.27383304,0.27663818,0.27588582,0.27041903,0.26070428,0.24811827,0.2345164,0.22076225,0.20675206,0.19181745,0.1755969,0.15828548,0.14055172,0.12395453,0.11123901,0.10585605,0.109233625,0.11876247,0.12815821,0.1317205,0.12735659,0.117117904,0.107634075,0.11054441,0.14267975,0.21068506,0.30097988,0.3756039,0.40278342,0.3758813,0.32100752,0.26845682,0.23587799,0.22237897,0.22167279,0.22850148,0.24008934,0.25319597,0.26466283,0.27139524,0.27129957,0.26214737,0.24405885,0.22026795,0.1972902,0.1802689,0.17028202,0.16455011,0.16028105,0.15680659,0.15492737,0.15518105,0.15754688,0.16181386,0.16685452,0.16921051,0.16408814,0.14885794,0.12590858,0.10129202,0.080520846,0.06574471,0.056039494,0.049619403,0.045047313,0.04150397,0.038390156,0.03537388,0.032413464,0.030375294,0.031857017,0.041933805,0.06588285,0.10496948,0.15235893,0.19599737,0.22502351,0.23674996,0.23490332,0.22584534,0.2134936,0.2014203,0.19267856,0.19051571,0.19422518,0.20041543,0.2042305,0.20362957,0.19884217,0.19173129,0.18369234,0.17564811,0.16801666,0.16111904,0.15525132,0.15067656,0.14743762,0.14525048,0.143529,0.14165793,0.13907032,0.13543274,0.13116008,0.12876862,0.13405013,0.15483795,0.19669886,0.25758627,0.32618514,0.38595363,0.42257765,0.43037632,0.4135805,0.38312006,0.35048497,0.32321382,0.30341262,0.290782,0.28504655,0.2870027,0.2948643,0.3040019,0.30822933,0.30495,0.2953572,0.28270802,0.26945716,0.2577311,0.2502765,0.24992113,0.25710827,0.26908275,0.28101555,0.28910756,0.29144567,0.28854644,0.284546,0.28875104,0.31416416,0.36444506,0.425877,0.4679397,0.46887615,0.42998222,0.3759198,0.33022273,0.30250406,0.2888738,0.2834208,0.28301668,0.28577995,0.2888206,0.28953633,0.28719303,0.2836741,0.28058633,0.27778968,0.27253926,0.2623659,0.24728292,0.23099369,0.21888149,0.21582769,0.22353405,0.2399656,0.25901875,0.27377453,0.27898464,0.27448156,0.26380542,0.25341824,0.24838795,0.2508079,0.25710198,0.26203978,0.26326802,0.26596048,0.27844512,0.3049092,0.34053573,0.3753849,0.40159205,0.41639268,0.42063937,0.41582415,0.40511718,0.3926263,0.3817896,0.37096223,0.35516572,0.33044025,0.2990962,0.26776063,0.24191564,0.2229247,0.21103881,0.20953852,0.22162245,0.24418597,0.26622275,0.27742752,0.27601945,0.2683666,0.2605313,0.25313008,0.2432614,0.22949028,0.21384327,0.19963539,0.18918289,0.18279994,0.1794591,0.17760313,0.17578198,0.173106,0.16913652,0.16397507,0.15839024,0.15429436,0.15412438,0.15915559,0.16760643,0.17627321,0.18463011,0.19856878,0.22589457,0.2689453,0.31863186,0.3605354,0.38264155,0.38183823,0.3609039,0.3269949,0.29004064,0.26156637,0.24789464,0.24435818,0.23833989,0.22066973,0.19449927,0.171858,0.16103308,0.16077757,0.1643207,0.17038532,0.18142097,0.1978311,0.21232392,0.21936947,0.22105227,0.2285548,0.25246772,0.30146167,0.37409306,0.45622373,0.5165275,0.5281949,0.48763177,0.42120042,0.36121926,0.32422495,0.3064692,0.29683003,0.28896877,0.28293315,0.28231505,0.2891883,0.30200407,0.31472394,0.3209057,0.3178403,0.30774608,0.29434577,0.2793064,0.26360497,0.250174,0.2457885,0.25530759,0.27794513,0.3043956,0.32454503,0.33181867,0.32753444,0.31578305,0.3014514,0.28750932,0.27617893,0.2672533,0.25791696,0.24448042,0.22710347,0.21225272,0.20898251,0.22235167,0.24840097,0.27696207,0.29673442,0.30114782,0.29152033,0.27809212,0.2781528,0.3025074,0.3464161,0.38498798,0.39544603,0.37065914,0.326696,0.28280854,0.25420788,0.24830331,0.27371213,0.32797536,0.39331797,0.43459308,0.4306976,0.3839809,0.32285106,0.2702316,0.23666935,0.21636868,0.20379211,0.1944504,0.1878619,0.18230815,0.1770082,0.1706636,0.16407043,0.15942734,0.16208947,0.17814837,0.21127836,0.25837988,0.30992174,0.35472515,0.38526616,0.39977422,0.39988685,0.38777456,0.36477885,0.33283997,0.2981789,0.27194807,0.26598355,0.28352192,0.31519184,0.34479633,0.36071336,0.36288694,0.35883328,0.35577348,0.3538494,0.3469843,0.3271538,0.29159772,0.24597122,0.20315187,0.17618465,0.1717912,0.18773423,0.21511917,0.24371321,0.26491264,0.27451417,0.2716268,0.26099834,0.25237635,0.26118448,0.29940256,0.36438012,0.43281266,0.47220895,0.46543384,0.42101446,0.36626458,0.32219636,0.29622874,0.28309456,0.2786548,0.28043437,0.28809384,0.29849148,0.30841407,0.31500795,0.31779993,0.3164684,0.31040204,0.29834318,0.28018394,0.25785896,0.23527187,0.21656473,0.20433652,0.19848359,0.19722708,0.19843757,0.20135264,0.20530133,0.20922534,0.21040474,0.207209,0.19969153,0.1906542,0.1826474,0.17721343,0.17390646,0.17181318,0.16987629,0.167545,0.16453719,0.16098614,0.15707734,0.15277392,0.14973079,0.15262295,0.17080335,0.20757489,0.2553831,0.29107794,0.29764932,0.2719403,0.23154368,0.19552998,0.18082935,0.19734447,0.24570656,0.30930898,0.35426328,0.35420784,0.30808628,0.24293776,0.18655895,0.15070052,0.13047408,0.11845007,0.113660105,0.118284024,0.13300367,0.15243016,0.16942012,0.17818445,0.17943363,0.17877829,0.18594803,0.2066682,0.2394933,0.2713494,0.28910732,0.28611663,0.26945427,0.24975185,0.23849292,0.24392289,0.2735308,0.32341543,0.3762457,0.40514064,0.3972197,0.3590109,0.3128082,0.27697328,0.26363218,0.28006524,0.32651988,0.38965902,0.4400709,0.45450142,0.42965472,0.38636944,0.34704432,0.32561576,0.32610717,0.35124922,0.3973805,0.4498723,0.48516122,0.48934022,0.46624088,0.4340553,0.409297,0.40197083,0.4171002,0.4533987,0.5001299,0.5358874,0.54515034,0.52691585,0.49595013,0.4655014,0.43984708,0.4146924,0.38675383,0.35767815,0.33235955,0.31499788,0.3063458,0.3045398,0.30592337,0.30734298,0.3063629,0.30322596,0.29969144,0.29839692,0.29899022,0.29845527,0.29192936,0.2770718,0.25463912,0.2288575,0.20486563,0.1886211,0.18551783,0.19971299,0.23029093,0.27023876,0.3077651,0.33309552,0.34185126,0.3355608,0.31682226,0.28859878,0.25439382,0.22136034,0.19801424,0.19153363,0.20264518,0.22568025,0.25075203,0.27007338,0.2808996,0.28527674,0.28521636,0.28037402,0.26886365,0.2505606,0.22752881,0.20208067,0.1766675,0.15675049,0.15311445,0.17573054,0.22490008,0.28707743,0.34314832,0.3792615,0.3916438,0.38357067,0.36032677,0.32828113,0.29314554,0.25962135,0.22916947,0.20236216,0.1797216,0.16252016,0.15055996,0.14259465,0.13890159,0.14406066,0.16358988,0.19696216,0.23304875,0.25683507,0.2599601,0.24692619,0.23106246,0.22684598,0.246338,0.29181567,0.3540829,0.40959927,0.43940938,0.43834516,0.4217429,0.4062142,0.40079308,0.40205267,0.40508172,0.407492,0.41042462,0.41344348,0.41434813,0.41037032,0.4008926,0.38558128,0.36239207,0.32842264,0.28444996,0.23830168,0.20056869,0.17688145,0.16336995,0.15132959,0.13688187,0.12788904,0.14229973,0.19671,0.28814164,0.38898435,0.45883095,0.47675022,0.45136806,0.41245016,0.38056627,0.35969055,0.34145558,0.32064143,0.29818845,0.27988788,0.27085218,0.27231804,0.28025392,0.28858146,0.2936337,0.29645967,0.30002072,0.3049058,0.30845731,0.3073945,0.30152217,0.2930998,0.2845647,0.27807853,0.27711442,0.28830078,0.31313094,0.34482482,0.3658345,0.36473486,0.3409672,0.30829346,0.27896148,0.25940636,0.24791916,0.24183176,0.23901075,0.23706336,0.23241395,0.22160374,0.20473678,0.1853224,0.17009838,0.16647537,0.18266027,0.22032082,0.27094203,0.31365553,0.3305407,0.31694138,0.28565314,0.25406364,0.23695879,0.24496804,0.2850469,0.35110068,0.41914096,0.45617774,0.4465151,0.40024588,0.34543678,0.3021034,0.2760935,0.26134178,0.25186226,0.2436374,0.23492743,0.22503491,0.214015,0.20288245,0.19222902,0.18320705,0.17649381,0.1732126,0.17279196,0.17386602,0.17402428,0.17220725,0.16913454,0.16769063,0.17457378,0.19896823,0.25103295,0.32822457,0.41349128,0.4761796,0.49682653,0.47350872,0.424343,0.36852336,0.32300755,0.2986646,0.30223447,0.33045062,0.37016228,0.40360925,0.41896752,0.41566417,0.40460506,0.39911747,0.4064622,0.42192838,0.43548355,0.43982998,0.43581295,0.42762363,0.4170939,0.40130877,0.37820527,0.35361135,0.34436107,0.36561516,0.4147706,0.46349987,0.47892985,0.449864,0.39741722,0.35416302,0.33824798,0.3446704,0.35668254,0.36096883,0.35348883,0.33700004,0.31629667,0.29480323,0.27414492,0.25501066,0.23812075,0.22458069,0.21464606,0.20816962,0.20396835,0.20169385,0.20112991,0.20262004,0.20546599,0.21143806,0.22671497,0.26275486,0.32162628,0.38892594,0.43291625,0.43280745,0.3907332,0.33396372,0.28786454,0.26588106,0.2677147,0.2900567,0.3276948,0.37119472,0.40877214,0.43210813,0.4417052,0.4432427,0.442734,0.443562,0.44859838,0.45840943,0.46889368,0.47007743,0.45408335,0.42082107,0.3788067,0.338596,0.31112137,0.30761573,0.33670524,0.39276016,0.45164672,0.48198792,0.46925867,0.42557135,0.3780292,0.3459457,0.33087373,0.32317033,0.31366596,0.30010912,0.28593338,0.2762562,0.27339616,0.27472714,0.2747872,0.2688566,0.25651562,0.24071412,0.22601312,0.21532787,0.20923586,0.20591892,0.20301445,0.19927692,0.1981719,0.20860308,0.24297102,0.3019443,0.368371,0.40807855,0.39946923,0.34551123,0.27563354,0.21701236,0.18393894,0.17604804,0.19262843,0.23376024,0.29609475,0.36637303,0.4260486,0.45950153,0.46032155,0.4319562,0.3862575,0.34345326,0.32404235,0.33913496,0.379732,0.42504027,0.45558247,0.46683815,0.46591374,0.4645959,0.47245693,0.4938818,0.5233238,0.5437704,0.53577226,0.49329898,0.43023816,0.37055907,0.33112895,0.3147184,0.31422254,0.32094216,0.32832956,0.33239666,0.33134916,0.32560405,0.3175173,0.31005892,0.30520138,0.3035842,0.30667734,0.31864437,0.34467617,0.38513073,0.43158484,0.46903226,0.48368514,0.47286108,0.4476064,0.42964458,0.43319288,0.45707145,0.48106956,0.48875657,0.47504544,0.4510974,0.42621532,0.40388727,0.379884,0.35091755,0.31719366,0.28273925,0.25275248,0.23050721,0.21631764,0.20768945,0.20286041,0.20351702,0.2175004,0.2530043,0.31097957,0.3777063,0.4328359,0.46190655,0.46586895,0.45616576,0.4460889,0.4464039,0.46179447,0.48731294,0.5049862,0.49616233,0.45530364,0.39710882,0.34218478,0.30304512,0.27841672,0.2619423,0.2492513,0.23975222,0.23358852,0.2296359,0.22644313,0.22298163,0.21973734,0.21727557,0.216437,0.21709025,0.21873777,0.21999598,0.21965985,0.21737917,0.21393692,0.21073055,0.21087502,0.2207218,0.25018814,0.30198005,0.36445913,0.41019657,0.4182794,0.38738623,0.3387234,0.29485837,0.26912114,0.26348317,0.27722088,0.30728862,0.3462911,0.38178435,0.40268263,0.4052825,0.39474353,0.379624,0.36572036,0.35342178,0.34147227,0.33189544,0.33100852,0.34366247,0.36731517,0.39153552,0.40638176,0.41079175,0.4159572,0.4350599,0.47088042,0.5071371,0.52033573,0.4963982,0.44412336,0.38643253,0.3462321,0.33258379,0.34073284,0.3565816,0.36611047,0.36185744,0.3459135,0.3257357,0.308153,0.29534045,0.2859478,0.277535,0.2691252,0.2610879,0.25528196,0.25358066,0.25772977,0.2666928,0.27701297,0.28519753,0.2941905,0.3147161,0.35444072,0.40722856,0.44950864,0.46079907,0.43632248,0.39234865,0.34759286,0.31469285,0.2960345,0.29123083,0.2983187,0.31464794,0.3356472,0.3566213,0.37333095,0.38296267,0.385035,0.3820937,0.37989867,0.38205126,0.38791475,0.39029315,0.38324127,0.3643017,0.33808485,0.31239212,0.29873028,0.30876896,0.34839594,0.40849593,0.46543637,0.49350497,0.4831796,0.4445753,0.39818034,0.35889566,0.33306888,0.32084286,0.321174,0.33122894,0.34622118,0.3601754,0.36786297,0.36663744,0.3569139,0.34098744,0.32069197,0.29651737,0.2700985,0.24696428,0.23632526,0.24539292,0.2740709,0.3139726,0.35570815,0.39512932,0.4349592,0.4746994,0.5064009,0.51575965,0.49791837,0.4601554,0.41852355,0.381358,0.34772745,0.3115562,0.2730374,0.23940171,0.21968354,0.21669514,0.22601782,0.24107508,0.2579049,0.2742666,0.28630486,0.29011837,0.28652993,0.2822849,0.28361404,0.2899934,0.2954527,0.2947127,0.28996053,0.29075977,0.3123398,0.36309168,0.4348761,0.49840426,0.52343994,0.49962452,0.44548395,0.38987315,0.3520143,0.33428177,0.33080366,0.3362758,0.34708247,0.35907006,0.36693582,0.36701927,0.3590946,0.345934,0.33111003,0.3175883,0.3071412,0.3002198,0.29557714,0.29081357,0.28444442,0.27785718,0.27571332,0.28424764,0.30850348,0.3504411,0.403385,0.4520367,0.47488555,0.46117985,0.41753486,0.36707532,0.32939088,0.3108151,0.30419603,0.30171773,0.30101624,0.30386433,0.3091284,0.31032553,0.29864252,0.2701513,0.23044656,0.19493656,0.18312567,0.20710652,0.26226982,0.32597747,0.3732915,0.3921765,0.38965765,0.38111255,0.38017187,0.3951644,0.42696258,0.4663345,0.49275485,0.488395,0.4510453,0.39753282,0.34784865,0.31191468,0.28683332,0.26672915,0.24966978,0.23795968,0.23287117,0.23205103,0.23072986,0.22577618,0.21719669,0.20759909,0.19951,0.1944306,0.19203155,0.19126047,0.19078346,0.190238,0.18941319,0.18806173,0.18812515,0.1966456,0.22686528,0.2839512,0.35590506,0.40926245,0.4170631,0.37472916,0.307694,0.24470146,0.20394522,0.18720691,0.19337797,0.22163223,0.27030644,0.32998398,0.38672948,0.42685208,0.44417635,0.43946633,0.41947445,0.39304897,0.36904493,0.35319075,0.34632048,0.3447571,0.34306493,0.33760992,0.32785758,0.3180329,0.31617603,0.33389524,0.3741074,0.42691574,0.46677303,0.47582194,0.45155105,0.41172358,0.37260225,0.34285334,0.32047212,0.3030509,0.29017767,0.28331363,0.2831668,0.28811517,0.29457858,0.29770437,0.29399934,0.2829261,0.26843086,0.25743818,0.25707567,0.26999664,0.29262447,0.31665123,0.33450505,0.3439305,0.3507048,0.36528802,0.39400303,0.42943367,0.4513178,0.4413117,0.3986162,0.34064636,0.2884924,0.25267723,0.2320291,0.22056215,0.2139799,0.2101339,0.20796563,0.20642586,0.20470352,0.20216395,0.19993502,0.20163195,0.21490945,0.24470782,0.28777835,0.32670105,0.34254253,0.32654545,0.28996697,0.25207174,0.23112923,0.23757161,0.27816164,0.3469846,0.42131972,0.4641199,0.4534473,0.39696673,0.3288103,0.27902317,0.25948355,0.26526102,0.28720334,0.31656602,0.34370103,0.36114526,0.36633417,0.36358854,0.3580247,0.3528792,0.34854183,0.34580967,0.3446823,0.34338427,0.33774552,0.32627705,0.3128362,0.30564252,0.31181857,0.33398616,0.37128446,0.41730323,0.46067646,0.48494086,0.48096585,0.45103255,0.40818644,0.36270693,0.3195803,0.28170806,0.25761122,0.25648597,0.28141895,0.32328883,0.3680053,0.40249357,0.42137143,0.42483494,0.41716048,0.4033419,0.38780388,0.37385908,0.36351538,0.35780832,0.35729337,0.3623245,0.37295362,0.388644,0.40941188,0.4365802,0.4675084,0.49203837,0.49271202,0.45986637,0.39875922,0.32949567,0.2706454,0.23215216,0.21319689,0.20993768,0.21744154,0.23161203,0.24761136,0.26170245,0.27213994,0.27995923,0.28694117,0.29251537,0.29304656,0.28400174,0.2644604,0.23846018,0.21299668,0.19356787,0.18200727,0.17890066,0.18728341,0.21412472,0.26135504,0.31803298,0.3588432,0.3620735,0.32502487,0.26733232,0.2137152,0.17818697,0.16028388,0.1528418,0.14992051,0.14866358,0.1481598,0.1481028,0.14855663,0.14989166,0.15360476,0.16359572,0.18684119,0.22721326,0.27884614,0.32251176,0.33871105,0.32085064,0.28250566,0.24411874,0.2223938,0.22406863,0.25328326,0.30558026,0.36656597,0.40828684,0.41313472,0.38241723,0.33957994,0.30439496,0.28472826,0.2744441,0.26736748,0.26068577,0.25516704,0.25160268,0.24988858,0.24975497,0.25038782,0.25126505,0.25097376,0.24882014,0.24425678,0.23866338,0.23389895,0.2332976,0.23994122,0.25598422,0.2804669,0.3108543,0.34669837,0.38834465,0.4319912,0.4641807,0.47149658,0.45150325,0.41784728,0.38801906,0.37189278,0.36904183,0.37468693,0.38472995,0.39563778,0.40433863,0.40907848,0.41024697,0.40821,0.4003537,0.38264218,0.35456106,0.32386234,0.30318633,0.3025011,0.32176834,0.3513104,0.37718737,0.38873783,0.38516474,0.3770516,0.3810989,0.4042351,0.43586817,0.45118043,0.4350361,0.39132223,0.34147564,0.3027199,0.28212056,0.27634564,0.2823705,0.29789495,0.32121384,0.3475883,0.37091276,0.384896,0.38598654,0.37408793,0.3519311,0.32425,0.29623505,0.27390397,0.26061022,0.25586745,0.25390387,0.24927746,0.24230927,0.24204205,0.26201913,0.30640665,0.36386237,0.40810964,0.42136478,0.4031913,0.3726573,0.3450173,0.32553414,0.307699,0.28793845,0.26614282,0.24629937,0.22932471,0.21527024,0.20279987,0.19199778,0.1851026,0.18805385,0.2112606,0.25818256,0.3194977,0.36791018,0.38162997,0.3554628,0.30952954,0.26780626,0.24949042,0.26251554,0.30658874,0.36909476,0.42352843,0.44392383,0.4213239,0.37194404,0.32053328,0.28374657,0.26358923,0.25671908,0.26267588,0.28263518,0.31362498,0.344678,0.36289883,0.36013317,0.33893847,0.31023368,0.2890725,0.28660032,0.30492008,0.3354887,0.36512402,0.38406184,0.39029267,0.38788685,0.38312984,0.38317463,0.39571413,0.42325553,0.4587424,0.4840552,0.48518872,0.46031138,0.42307255,0.38638452,0.3556193,0.32678452,0.29665124,0.26604468,0.2393258,0.21925016,0.20537026,0.19466692,0.18438828,0.17378487,0.16569571,0.16636021,0.18341464,0.22000696,0.27060866,0.32159734,0.36012855,0.3812102,0.3894205,0.39398578,0.4038413,0.42545494,0.45600042,0.4836266,0.48882437,0.46330348,0.41299126,0.3581458,0.31363022,0.2858045,0.27015743,0.26142362,0.25471154,0.24860133,0.24290413,0.2385395,0.23595543,0.23494597,0.23475976,0.2338872,0.23108351,0.22577862,0.21904786,0.21242718,0.20722722,0.20390785,0.20277645,0.20636483,0.2200144,0.2512925,0.29906455,0.3500816,0.3791355,0.37128606,0.32966018,0.27690703,0.23294854,0.20686416,0.19447178,0.18936853,0.18681526,0.18529208,0.18423687,0.18360548,0.18335505,0.1835332,0.18549989,0.19395246,0.21713834,0.25955638,0.31346163,0.35761896,0.37186286,0.3526932,0.3157997,0.28297117,0.26959097,0.28303912,0.32318857,0.37971964,0.42879352,0.4449705,0.4180592,0.36212543,0.30272922,0.25980464,0.23787306,0.2308494,0.22933353,0.2266804,0.22034435,0.21209924,0.20562422,0.20415574,0.20802802,0.21485265,0.22084598,0.2235213,0.22246279,0.2189234,0.21409456,0.20872404,0.20316301,0.19839102,0.19803327,0.20952009,0.24202792,0.2960763,0.35867107,0.4057952,0.42287692,0.4128321,0.39509335,0.3851289,0.3872868,0.39484856,0.40100536,0.40271983,0.39960107,0.3910472,0.3757788,0.35491583,0.3326533,0.31533965,0.30773202,0.31228328,0.32632315,0.34360886,0.35339072,0.34882474,0.3284728,0.29998383,0.27412128,0.26398447,0.28064618,0.32568896,0.3854781,0.4324765,0.4451517,0.42017362,0.37525597,0.3307377,0.2985781,0.27873242,0.26689658,0.25933155,0.2543988,0.25139973,0.24937414,0.24654883,0.24121016,0.23325121,0.22600186,0.22534908,0.23629332,0.25880888,0.28613678,0.30830503,0.3171436,0.31057432,0.29259324,0.27112305,0.25514072,0.2513628,0.26184702,0.28225255,0.3047372,0.322073,0.33174685,0.33503184,0.3344363,0.33170483,0.3279448,0.32435915,0.32151136,0.31936923,0.31676373,0.31180492,0.3012403,0.28203294,0.25388384,0.2216947,0.19426836,0.17956813,0.17940074,0.18772845,0.19446003,0.19223504,0.18102853,0.16799085,0.16509227,0.18561356,0.23924302,0.32046068,0.40540066,0.459916,0.46575713,0.43078187,0.38281977,0.34434053,0.32250622,0.31154105,0.3049235,0.29986778,0.2968832,0.29720983,0.30121994,0.3071632,0.31080762,0.30748677,0.29599717,0.28039455,0.26807272,0.2642862,0.26909578,0.27792066,0.285759,0.29063287,0.29502967,0.30584535,0.3314294,0.37464407,0.42563748,0.46257356,0.4661092,0.43400624,0.38380918,0.33817253,0.312361,0.31085357,0.33280584,0.36872736,0.40075526,0.40635705,0.37778828,0.32481018,0.2686526,0.22405303,0.1978388,0.19383585,0.21462472,0.25721595,0.30749217,0.34906653,0.37183514,0.3774061,0.37340173,0.3693056,0.3754945,0.40099332,0.44374886,0.4855225,0.499452,0.47440386,0.4234893,0.37499452,0.34566447,0.33389497,0.3268993,0.31718493,0.30483285,0.2937602,0.2857705,0.2805821,0.27684453,0.2734007,0.26971945,0.2661939,0.26415583,0.2644906,0.26682177,0.26901102,0.26890254,0.2654778,0.25981763,0.25605854,0.26119578,0.28421196,0.32569396,0.37389505,0.40448776,0.40150833,0.36599532,0.31762055,0.2748523,0.24675871,0.23117559,0.22349577,0.22011067,0.2191068,0.21905744,0.21887825,0.21817969,0.21731658,0.21839197,0.22605504,0.24761069,0.2863367,0.33539104,0.3758644,0.39014617,0.3741629,0.3412925,0.3101643,0.29468122,0.3020928,0.33524776,0.38826075,0.4409695,0.4656876,0.44657123,0.3930138,0.33163893,0.2869743,0.26789007,0.27262473,0.29470074,0.32784632,0.36125335,0.38348463,0.38614237,0.3714521,0.34965017,0.3342483,0.33298996,0.34468555,0.359544,0.36601332,0.35787892,0.3384912,0.31824064,0.30591342,0.30439207,0.31184947,0.33100978,0.3650179,0.4115448,0.4542664,0.47750986,0.47571895,0.4571189,0.42917752,0.39426732,0.3540381,0.3163214,0.29166666,0.2840041,0.2864081,0.28691372,0.27797702,0.26304543,0.25157392,0.25008392,0.25556853,0.26050532,0.261916,0.2646679,0.27568313,0.29552343,0.3171722,0.332293,0.34006098,0.35000435,0.37556788,0.41993582,0.46926823,0.4991927,0.49544513,0.46347165,0.422978,0.3896171,0.36696586,0.35003027,0.3343935,0.32012737,0.309919,0.30532968,0.30503905,0.30560812,0.30463052,0.30203617,0.2997313,0.29888198,0.29939592,0.30026868,0.30104518,0.30160573,0.3021308,0.30275849,0.3045732,0.31053936,0.3258674,0.35390857,0.39046767,0.42156026,0.43181148,0.41623744,0.3848143,0.35412398,0.3352399,0.32917932,0.33083594,0.33528462,0.3397574,0.34294942,0.3436993,0.34157786,0.33712247,0.33200672,0.3289281,0.33172026,0.34488854,0.36770085,0.39179006,0.4015127,0.38779247,0.3536817,0.314518,0.285985,0.27961814,0.3029503,0.35453987,0.419904,0.46929905,0.48049048,0.45173252,0.40595272,0.36654404,0.3453757,0.33952513,0.34474847,0.35897842,0.3814949,0.4065868,0.42551184,0.4315339,0.42523733,0.41298243,0.40145254,0.3933392,0.3866652,0.37791225,0.36563423,0.3538113,0.35004863,0.3607761,0.38545296,0.4180994,0.45167872,0.48097733,0.50046015,0.502564,0.4829681,0.44493413,0.40021455,0.36016706,0.33086765,0.31171724,0.30116427,0.29892763,0.3059915,0.32054892,0.33729136,0.3490989,0.3529992,0.35227406,0.3542938,0.3628674,0.3743575,0.3802297,0.37538886,0.36300543,0.35104907,0.34375262,0.33649084,0.3236656,0.30905658,0.31199118,0.34813595,0.41328168,0.4750404,0.5024653,0.4862826,0.4464685,0.4065604,0.37912568,0.3628094,0.3532401,0.34741768,0.3434691,0.33981478,0.33546826,0.329872,0.3221291,0.31167316,0.29981315,0.29011324,0.2858757,0.28774044,0.29294,0.29793498,0.30057132,0.30078173,0.30066228,0.3052665,0.32300127,0.3587015,0.40525922,0.44060096,0.44217935,0.4038975,0.34249988,0.2833157,0.24312995,0.22374481,0.21906132,0.22435607,0.23780131,0.25775293,0.27869847,0.2944795,0.30078337,0.29910225,0.29488108,0.29662085,0.31209943,0.3412565,0.37252137,0.385304,0.36748204,0.3234943,0.27381396,0.23978536,0.23722236,0.27368513,0.34299064,0.4214535,0.47279453,0.4746407,0.4325393,0.3758297,0.33086103,0.30768347,0.30284023,0.31185496,0.33183312,0.35822788,0.38142106,0.39352274,0.392432,0.3842655,0.37496004,0.36750945,0.36059216,0.35403183,0.34881708,0.3460739,0.34461185,0.34226564,0.33787513,0.33320674,0.333076,0.34445533,0.37062645,0.40738884,0.44184104,0.46285233,0.4671832,0.46133813,0.45234478,0.44366038,0.43528152,0.42762223,0.42199275,0.41856572,0.41543663,0.4094547,0.39835072,0.3821169,0.36283216,0.34327838,0.32530734,0.31024083,0.30068567,0.30078605,0.3136058,0.33696523,0.36380532,0.3858172,0.3997346,0.40924296,0.42357478,0.44911227,0.48217323,0.50795084,0.51204747,0.49286816,0.46288964,0.4373845,0.42247674,0.41510835,0.40912274,0.40223572,0.39509046,0.38956463,0.3851703,0.38021418,0.37295195,0.36419702,0.3561087,0.35044017,0.3469293,0.34464002,0.3429831,0.34229574,0.3425014,0.34314644,0.3429115,0.34163582,0.34172252,0.3504045,0.3743969,0.4128361,0.4508375,0.46898255,0.45658395,0.42192602,0.3832719,0.3557801,0.34202978,0.33640364,0.33221346,0.32685652,0.32058692,0.31447116,0.30903688,0.30528724,0.3053678,0.31269434,0.33038723,0.35797462,0.3884835,0.40950704,0.41126215,0.3948021,0.37242165,0.3585119,0.36114362,0.3817191,0.41952518,0.4690167,0.51585245,0.5374283,0.5205131,0.47146556,0.4143355,0.37036702,0.3467511,0.33807564,0.3368,0.33907104,0.34258392,0.34538803,0.34525037,0.34286144,0.33993503,0.33836612,0.33728504,0.33617973,0.3360983,0.34134737,0.35467127,0.37443462,0.39374837,0.4058065,0.40907004,0.40833473,0.4116057,0.42240527,0.43738356,0.4459938,0.44037393,0.41978383,0.39320585,0.37027717,0.35655394,0.35047784,0.34876958,0.34923735,0.35329232,0.36225328,0.3752065,0.3864791,0.390669,0.3856726,0.37596986,0.36725786,0.36431053,0.36744165,0.3752534,0.3837215,0.38823283,0.3837187,0.36969748,0.35347068,0.35096443,0.37520134,0.42296013,0.4685943,0.48228765,0.45221815,0.39535692,0.33987546,0.30514953,0.29198936,0.29154882,0.29454267,0.29585186,0.29361522,0.2878441,0.28019813,0.27224886,0.2654571,0.2599889,0.25569603,0.25135657,0.24534498,0.23653626,0.22564256,0.21548991,0.20884226,0.20846327,0.21768701,0.24294114,0.28721833,0.3436723,0.39110088,0.40814707,0.38697627,0.3409729,0.29098707,0.253072,0.2332861,0.23509805,0.26075885,0.30534708,0.3515137,0.37725148,0.37247327,0.34572813,0.3160487,0.29792657,0.29671922,0.31294468,0.3436501,0.3797522,0.4033283,0.39965257,0.36737612,0.3223625,0.28585276,0.2745675,0.2953823,0.343074,0.39940116,0.43815732,0.44049475,0.40715182,0.35646442,0.3088219,0.2737309,0.24837796,0.22541387,0.19946568,0.17001736,0.13979805,0.11278241,0.09159276,0.07653861,0.06616913,0.058513556,0.05234556,0.047080245,0.04264454,0.038872123,0.035593513,0.032634158,0.030014263,0.027810894,0.026065633,0.02465494,0.023410961,0.022170432,0.020904424,0.019635953,0.018430097,0.017288784,0.016185487,0.015100769,0.0140519,0.013090351,0.012239553,0.011521247,0.010933644,0.010471903,0.010092681,0.009757551,0.009453873,0.009195016,0.008950879,0.008634855,0.00816436,0.007548977,0.0068989024,0.006338425,0.0061171893,0.007711748,0.015971947,0.04066546,0.09327909,0.17876905,0.28750357,0.3966613,0.48205057,0.5305137,0.54298836,0.52693325,0.49071917,0.44262126,0.39466122,0.3589232,0.34260443,0.34314618,0.3527067,0.36371672,0.37345222,0.38258538,0.3919258,0.39979756,0.402788,0.39842412,0.38682178,0.36948428,0.34761778,0.32222822,0.29643455,0.27669132,0.2713234,0.2865335,0.32157114,0.36703405,0.40683112,0.42530468,0.4138995,0.37594783,0.3249847,0.27843454,0.24907796,0.24086088,0.25022247,0.270546,0.29443944,0.31538633,0.32925174,0.3362011,0.33947515,0.3426814,0.3474426,0.35345462,0.35808918,0.3571397,0.34495148,0.31822935,0.28036207,0.24486428,0.2327169,0.25849155,0.32015932,0.3951927,0.4581929,0.49232164,0.49675784,0.4765599,0.43853152,0.3884792,0.33343983,0.2801483,0.23348717,0.19734757,0.17547786,0.17098606,0.18160152,0.19955246,0.21496218,0.22498567,0.23539318,0.25576207,0.28824744,0.3244185,0.35101175,0.3609775,0.35708657,0.3485038,0.34431818,0.3527521,0.37822613,0.4178606,0.45713344,0.47832683,0.4732585,0.45009255,0.4253498,0.41112116,0.41005698,0.41819918,0.42935094,0.4369416,0.43537167,0.42336068,0.40478516,0.38605165,0.37107146,0.3593935,0.3495437,0.3423393,0.33918917,0.33760253,0.32898512,0.3067803,0.27136236,0.23240368,0.20270036,0.19688964,0.23019068,0.30661973,0.40940285,0.4968802,0.53354645,0.5103058,0.4542494,0.39784157,0.36035085,0.33950424,0.32818815,0.32275686,0.3246582,0.3328571,0.34262517,0.3485599,0.3499812,0.34973475,0.35048676,0.35157862,0.35133553,0.3497046,0.34839848,0.34808055,0.34730542,0.34453955,0.34148332,0.34410095,0.35990116,0.39194736,0.43228182,0.46247968,0.46356228,0.43097925,0.3780787,0.3262967,0.2889241,0.26636204,0.2512078,0.23768382,0.22409636,0.21186145,0.20210479,0.19524749,0.1905099,0.18800144,0.19084133,0.20669687,0.24362092,0.2989106,0.35486117,0.385265,0.37802124,0.34192398,0.3010249,0.27434424,0.27222347,0.29959694,0.35482255,0.42250857,0.47032133,0.47287703,0.42970052,0.36944863,0.3218968,0.29990125,0.2957661,0.2974679,0.29758596,0.29535568,0.29163393,0.28746247,0.28315338,0.2790041,0.2749553,0.27089489,0.26711124,0.2637069,0.2604827,0.2561644,0.25019965,0.24280433,0.23573911,0.23184647,0.23692578,0.25964138,0.30473292,0.36557022,0.42131034,0.4513438,0.4466823,0.415838,0.37344405,0.33398902,0.30776763,0.30106986,0.31307912,0.33390677,0.3501681,0.35170737,0.33892438,0.3210631,0.31157503,0.3186228,0.34008673,0.36540246,0.38302386,0.38845193,0.3836815,0.3746536,0.36477372,0.3555026,0.34800944,0.348079,0.367426,0.41303203,0.47850648,0.53649473,0.56005126,0.5372823,0.4842528,0.42554727,0.38021317,0.35109845,0.33299658,0.31970188,0.30819008,0.29742438,0.28714296,0.27763465,0.27002296,0.26527044,0.26353326,0.2640028,0.2660785,0.2696592,0.2746348,0.2803888,0.28609017,0.2911943,0.29568824,0.30160514,0.31469643,0.34261644,0.3857145,0.43060717,0.45448673,0.44371367,0.40451476,0.35875383,0.32611823,0.314785,0.32290933,0.34450045,0.372244,0.39768556,0.4151964,0.42392746,0.42742527,0.42858377,0.4292332,0.4311004,0.43891248,0.45264792,0.46588263,0.46301374,0.43691716,0.39092603,0.3423872,0.3066784,0.2972106,0.32227585,0.38125,0.45724034,0.5163162,0.5318957,0.49990427,0.44425347,0.3915412,0.3566254,0.33659634,0.32326373,0.3110409,0.30087733,0.2961507,0.29802802,0.30268148,0.3040954,0.29902616,0.28920546,0.27932045,0.27276006,0.27023315,0.27033803,0.2714273,0.27228054,0.27197132,0.2710197,0.27357945,0.28838214,0.32333568,0.3739035,0.42004228,0.43542823,0.4104145,0.35749722,0.3032298,0.26575926,0.25048605,0.25399712,0.27412814,0.30848742,0.3507458,0.38938007,0.41295812,0.4153465,0.39751378,0.36678818,0.33603093,0.31970766,0.3263248,0.35172614,0.38208082,0.40447235,0.4155573,0.41996893,0.42459115,0.43436038,0.45485017,0.48644018,0.522008,0.54083186,0.526615,0.47568035,0.40753353,0.34664097,0.31230792,0.30611134,0.31794438,0.33253974,0.3394171,0.33612797,0.3266389,0.31636634,0.3089358,0.30530617,0.3050737,0.30743504,0.31318673,0.32455838,0.3435568,0.36848816,0.39306024,0.4092897,0.4127177,0.40703917,0.40330157,0.41236413,0.43520665,0.4603044,0.47294056,0.4669577,0.44790757,0.42623433,0.4087707,0.3970975,0.3883108,0.3781431,0.3621939,0.34000945,0.31531632,0.29407644,0.27927768,0.27019855,0.26664773,0.27325627,0.2988647,0.34549403,0.40264893,0.4483882,0.4671475,0.45806432,0.43541488,0.4151326,0.408818,0.4224958,0.45356902,0.48919836,0.5062725,0.48968136,0.44078696,0.37971285,0.32651815,0.29207543,0.27463904,0.2675663,0.263828,0.25828147,0.24913527,0.23763128,0.22767039,0.22202356,0.22143972,0.22377276,0.22696005,0.22902985,0.22944932,0.22741716,0.22339301,0.21804291,0.21308124,0.21056603,0.21518104,0.23415099,0.27218282,0.3228269,0.36611184,0.3796145,0.3548077,0.30296445,0.24607581,0.20126003,0.17438067,0.16188669,0.15775788,0.15680617,0.1561985,0.15507452,0.15368207,0.1527828,0.15314555,0.15830836,0.17535137,0.21303676,0.27041575,0.3317115,0.37059402,0.37154377,0.34001455,0.29871112,0.26946107,0.26569816,0.29458404,0.35449052,0.43074486,0.49173245,0.51192147,0.4865652,0.4385576,0.3936884,0.36642206,0.35423553,0.3498826,0.3475926,0.3448157,0.33991262,0.33219483,0.322481,0.3129015,0.3053553,0.30056027,0.29801852,0.2967423,0.29594013,0.29516757,0.29454854,0.29437932,0.2951703,0.29653725,0.29976085,0.30830392,0.33044386,0.3678392,0.41129312,0.43655047,0.42686573,0.38283774,0.32666874,0.27961197,0.2524046,0.24363792,0.25150988,0.27464083,0.3088964,0.34293547,0.3650297,0.36917105,0.35845146,0.34079504,0.32647005,0.3275726,0.3513848,0.39358985,0.4328436,0.447136,0.42799202,0.3888094,0.3491024,0.32388738,0.3203067,0.34375605,0.39243117,0.44997653,0.4873855,0.48412797,0.44325605,0.3886989,0.3439206,0.31836703,0.30769193,0.30329576,0.29921046,0.2933068,0.28677619,0.28143093,0.27820173,0.27581736,0.27275875,0.26858127,0.2644239,0.26109898,0.25851908,0.255829,0.25270036,0.24880813,0.24352862,0.23828292,0.2395087,0.25978646,0.30544677,0.36829314,0.4219191,0.44371235,0.42732286,0.38839886,0.34602833,0.3130324,0.2921826,0.2829505,0.28466782,0.29539096,0.3106595,0.32361174,0.32932308,0.32656252,0.31743023,0.30400667,0.28853038,0.27494988,0.2688147,0.27268568,0.28259492,0.2907442,0.29190913,0.28776813,0.2867891,0.30111018,0.34118605,0.40439844,0.4696428,0.5043114,0.48861656,0.43010426,0.35804185,0.29992154,0.2659326,0.25073275,0.24402611,0.23939942,0.23449545,0.23000032,0.22655194,0.22476839,0.2244512,0.22544253,0.22727002,0.22921361,0.23067589,0.23147409,0.23215562,0.23310532,0.23459329,0.23675518,0.24168824,0.2545555,0.28365263,0.33189675,0.38968375,0.4326645,0.43878973,0.40345597,0.3450168,0.28838673,0.25043935,0.23502767,0.24100693,0.26636475,0.30664155,0.34958735,0.3784176,0.37966275,0.3524303,0.30938303,0.27176288,0.26035583,0.28490707,0.3367854,0.39073738,0.41929892,0.41028002,0.37197027,0.32452226,0.28824455,0.27901614,0.3082377,0.37294877,0.45080113,0.50283784,0.5021424,0.4500829,0.37697592,0.3149446,0.28028575,0.26964542,0.27179047,0.27688983,0.27980673,0.2794497,0.27700314,0.27459452,0.27353942,0.27406684,0.27583528,0.27897775,0.2835667,0.28882292,0.29279152,0.29417345,0.29340732,0.29275146,0.29515985,0.30476168,0.3273294,0.36519217,0.410779,0.44386992,0.44530144,0.41099563,0.35762572,0.30773285,0.2758689,0.26363766,0.2682972,0.28696644,0.31584063,0.34515086,0.36343834,0.36355898,0.3483707,0.32589418,0.30445686,0.28867176,0.28184584,0.28501487,0.2964321,0.3093594,0.31709182,0.316049,0.30902824,0.3035301,0.31116715,0.34416878,0.4039102,0.47411346,0.522429,0.52616686,0.48577857,0.42701378,0.37497035,0.34226367,0.32550332,0.31908873,0.31913653,0.32427442,0.33109355,0.33539882,0.33451366,0.32989487,0.32542717,0.32418248,0.32608593,0.3290793,0.33136415,0.33213106,0.3305167,0.32556412,0.317498,0.31066945,0.3132914,0.33605215,0.3816122,0.43984094,0.48622775,0.50115246,0.480683,0.44101235,0.39995137,0.36689118,0.34007823,0.31667867,0.29726943,0.28443265,0.27858195,0.27677953,0.27555677,0.27303937,0.27177367,0.2781467,0.3023708,0.34719476,0.40292266,0.4434154,0.44776022,0.41147768,0.3549062,0.30352592,0.27862957,0.28986856,0.3383191,0.41123125,0.48075137,0.5155807,0.50176686,0.45289052,0.39719722,0.35615698,0.33388126,0.32366946,0.3181341,0.31424376,0.31123078,0.30929255,0.30820158,0.3076009,0.30602178,0.30217513,0.29615805,0.29052067,0.2881463,0.28996414,0.29375732,0.29602912,0.29408684,0.2874092,0.27970695,0.27930728,0.298594,0.34208095,0.4004128,0.4477748,0.4628015,0.439621,0.39353696,0.3432157,0.30205226,0.2742252,0.26158157,0.26360703,0.27593628,0.28945348,0.29645246,0.2951803,0.28970253,0.28351328,0.276378,0.26673162,0.25592777,0.24856748,0.24738042,0.25096464,0.25503257,0.25726783,0.25879356,0.26554072,0.28765878,0.335744,0.40809068,0.48264146,0.52425075,0.51163733,0.45403555,0.38444623,0.3322126,0.3069246,0.30107847,0.30355892,0.30689836,0.30738223,0.30349413,0.2956072,0.2858278,0.27661696,0.26960513,0.2657567,0.26619923,0.2729076,0.2866343,0.30565727,0.32452762,0.33750904,0.3405359,0.33589268,0.33152637,0.3399956,0.3658613,0.4002676,0.42023626,0.4098747,0.37064445,0.3230642,0.28590405,0.26681426,0.26084128,0.26215136,0.26740432,0.27576134,0.2843319,0.28965554,0.28922752,0.28303608,0.2734721,0.2653331,0.26850986,0.290637,0.3300862,0.36778018,0.3816947,0.36176598,0.31997958,0.27699417,0.2501525,0.24818404,0.27768624,0.3371038,0.4114156,0.46806797,0.48110387,0.44607785,0.3867884,0.331102,0.29617098,0.28149343,0.27956998,0.2827109,0.28653356,0.28882018,0.28887287,0.28684866,0.28349683,0.27957907,0.27587402,0.27314076,0.2721062,0.27301636,0.27506688,0.27673745,0.27674115,0.27507436,0.27481058,0.28225312,0.30612886,0.34767857,0.3955396,0.4256135,0.42059067,0.38193324,0.331961,0.29556045,0.28611708,0.30126253,0.32909504,0.3570496,0.3755103,0.38099158,0.37488237,0.36303797,0.3507255,0.33904922,0.32506937,0.30751696,0.29241285,0.28901473,0.30194542,0.32398686,0.34229782,0.3463163,0.3353343,0.3180133,0.30987805,0.32828066,0.37752447,0.44091356,0.48160994,0.47353962,0.4191284,0.35203782,0.30558896,0.29334715,0.30457655,0.32090667,0.32969108,0.32819447,0.3207676,0.31248423,0.30682167,0.30415633,0.3039473,0.30475083,0.30494276,0.30232644,0.29654706,0.2894086,0.2845307,0.28279686,0.2823799,0.28133008,0.2841098,0.30098847,0.33852327,0.38924375,0.43078986,0.44282535,0.42086267,0.3791598,0.33583012,0.30208436,0.2803184,0.26984772,0.2698691,0.27877888,0.29339477,0.3100029,0.32508805,0.33552945,0.33892652,0.33570528,0.33193758,0.33553842,0.3497419,0.36526895,0.36709437,0.34550294,0.30635965,0.26704785,0.24680583,0.2590397,0.305815,0.37535143,0.4418105,0.47708246,0.46691826,0.4196008,0.35885906,0.30774435,0.27860618,0.27173653,0.28013125,0.29433978,0.306709,0.31452248,0.31921092,0.32323182,0.32609737,0.32418063,0.31342623,0.29331174,0.26882613,0.24809839,0.2380985,0.24034591,0.25134978,0.26549038,0.28046837,0.29923946,0.32913807,0.37136635,0.41611934,0.4419006,0.43453884,0.3954425,0.34373617,0.29686666,0.26261035,0.23807126,0.22138567,0.21566243,0.22519292,0.24817185,0.27527344,0.29661298,0.30775857,0.3107027,0.30889353,0.30448103,0.2987231,0.2936437,0.2915348,0.29263687,0.29448095,0.29376233,0.29111746,0.2939819,0.3155025,0.3646249,0.43507752,0.50101846,0.5309286,0.5089862,0.44673204,0.37298998,0.3130331,0.27745295,0.26532492,0.2727605,0.29488385,0.3238063,0.34925625,0.3631357,0.3632674,0.3524178,0.33526453,0.3164278,0.30037,0.2902111,0.286327,0.28540424,0.28413552,0.2825093,0.2857872,0.3006107,0.33064187,0.3733983,0.41937056,0.45434466,0.46367633,0.44215366,0.39847055,0.35227558,0.3203371,0.30776933,0.30883548,0.3161042,0.32567063,0.3358651,0.34370604,0.34503832,0.33742937,0.3219417,0.30382097,0.29113603,0.2944323,0.31791463,0.35572398,0.38896632,0.402554,0.39302525,0.3729274,0.35699785,0.35638568,0.3772068,0.4188484,0.4702305,0.5070009,0.50819415,0.47043708,0.41329992,0.36130556,0.32853332,0.31377327,0.3098391,0.31120396,0.31537715,0.3199282,0.32143176,0.31732193,0.3075451,0.29467097,0.28199077,0.2725707,0.26813102,0.2689841,0.2737739,0.28019443,0.2860547,0.28982368,0.2910093,0.29172072,0.29781616,0.31864074,0.35646978,0.40088657,0.42778662,0.42051354,0.38048342,0.32917634,0.2872931,0.26489174,0.26062313,0.2718793,0.2969705,0.33186707,0.36741307,0.39383152,0.40689895,0.40972528,0.40791568,0.4053303,0.40369907,0.40494454,0.4109656,0.42162147,0.43332776,0.44176057,0.44400692,0.4406775,0.43584883,0.43777314,0.45623937,0.49285412,0.53488564,0.55697864,0.54168993,0.4909078,0.42659748,0.3708286,0.33504906,0.31774637,0.31370568,0.31821516,0.32796517,0.3393115,0.34896085,0.35502252,0.35737205,0.35670927,0.35446456,0.3530592,0.35600695,0.3654159,0.38081315,0.39803588,0.41228926,0.41919795,0.41979885,0.419765,0.42929557,0.45095798,0.47750387,0.49118254,0.48202443,0.45178536,0.41512918,0.38377595,0.36261198,0.348408,0.3372471,0.32740393,0.31973135,0.31505668,0.31181464,0.3070846,0.29863748,0.2890803,0.28547984,0.29870108,0.33238864,0.37776318,0.4113588,0.41430888,0.38460365,0.34081233,0.30527297,0.2930192,0.31026188,0.35481325,0.4145068,0.46301532,0.47487977,0.44035017,0.37573516,0.30874488,0.2634675,0.24949676,0.26533666,0.3019726,0.3472426,0.3890048,0.42021373,0.4397155,0.44983602,0.45182574,0.44646332,0.43600574,0.42543766,0.41857135,0.41446474,0.40746698,0.3927906,0.37213492,0.35391998,0.3488896,0.36299792,0.39642498,0.44087157,0.4843819,0.5114045,0.5137797,0.49104178,0.45267713,0.40777835,0.36451125,0.32888976,0.30877575,0.30900022,0.32831037,0.35703024,0.3841674,0.4015174,0.40720284,0.40235043,0.3908657,0.3780907,0.37005058,0.36914504,0.37274918,0.37561765,0.37638083,0.37770024,0.38322076,0.3939297,0.41205847,0.44340935,0.48887944,0.53530836,0.55533546,0.530932,0.46721923,0.39188778,0.33070835,0.2949772,0.2812949,0.28256366,0.2930257,0.30731466,0.3201476,0.3274633,0.32953665,0.32902607,0.32823196,0.32611167,0.3201834,0.30926535,0.29512027,0.2809541,0.26931188,0.2611077,0.25598967,0.25514698,0.26292184,0.28754404,0.33065894,0.3819041,0.4165049,0.41600236,0.37878606,0.32470214,0.27529374,0.2433926,0.2282864,0.22418462,0.22502045,0.22699489,0.22810191,0.22783138,0.22676463,0.22578056,0.22699088,0.2352128,0.25906566,0.3032808,0.36077192,0.40862933,0.42438295,0.40148637,0.35703883,0.31497082,0.29339647,0.29818174,0.3312473,0.38578856,0.4438919,0.4754425,0.46131432,0.4057012,0.33693597,0.2823965,0.25432703,0.24669985,0.24828129,0.25055903,0.25098056,0.2495263,0.24690205,0.2432167,0.23895045,0.2349481,0.2319573,0.23031493,0.2292877,0.22830856,0.22632201,0.22364412,0.22064497,0.21901335,0.22114442,0.23268144,0.2620621,0.31323084,0.37840155,0.43502605,0.46248767,0.4539602,0.42314276,0.3881277,0.36224756,0.34816715,0.34579197,0.35295835,0.36665675,0.38005862,0.38728908,0.38544336,0.3764932,0.36310223,0.3475829,0.33239648,0.32279643,0.32530662,0.34351993,0.3734846,0.4051312,0.427256,0.43479943,0.4318336,0.4313296,0.44852254,0.48782873,0.5338445,0.555244,0.52983207,0.46198925,0.38193884,0.3199083,0.28922054,0.2844193,0.29462162,0.31087744,0.32792148,0.3418179,0.35088244,0.35566604,0.35847458,0.3603841,0.3606784,0.35803127,0.35310033,0.34904662,0.34815264,0.34916165,0.34685948,0.33807006,0.32714602,0.32639897,0.34918103,0.39576903,0.45048133,0.4861726,0.48728845,0.4569079,0.4161727,0.38311985,0.36438155,0.35449013,0.3459699,0.33513606,0.3214619,0.30651197,0.29157147,0.27891862,0.2695361,0.26547912,0.27062806,0.29334745,0.3356621,0.38654837,0.4200839,0.41766194,0.3811022,0.33345926,0.29831815,0.2888563,0.3083837,0.3533368,0.41153196,0.45814383,0.46992955,0.43889418,0.38106897,0.32090774,0.27812365,0.2591995,0.26332748,0.2859157,0.32029757,0.35772932,0.38994703,0.41154754,0.42009565,0.41460064,0.39674985,0.37241027,0.35174718,0.3438252,0.35096225,0.36726472,0.38289118,0.39090326,0.39090338,0.38970622,0.39821303,0.42482853,0.4678637,0.5124263,0.53960687,0.5392882,0.5175125,0.48893404,0.4660112,0.45242098,0.4452872,0.4393629,0.43018317,0.41608295,0.39774612,0.3772199,0.35530138,0.33226463,0.30925044,0.29012442,0.2810422,0.28690553,0.3076453,0.33551022,0.35948792,0.37173668,0.3726027,0.36919674,0.37170625,0.39040577,0.42995778,0.48204827,0.5237632,0.53037095,0.49492323,0.43359914,0.37374747,0.33371672,0.3171147,0.3164791,0.32241604,0.32677695,0.3251555,0.3171815,0.30594954,0.29511058,0.28662154,0.28028455,0.27529868,0.27126476,0.2685127,0.26733425,0.26762283,0.26893413,0.27059767,0.27302387,0.279768,0.298547,0.336804,0.3906767,0.44083023,0.4598926,0.43485412,0.37573123,0.30997303,0.25979266,0.2329164,0.22329767,0.22256221,0.22489463,0.22831066,0.23224717,0.23641676,0.23999156,0.24155207,0.2416351,0.24469733,0.2601763,0.29133847,0.329826,0.3538991,0.35001287,0.32086846,0.28597602,0.2621837,0.25914237,0.2814491,0.32955965,0.3928357,0.44363594,0.4550823,0.41999435,0.3602548,0.3065754,0.27823803,0.27412865,0.28289554,0.2945006,0.3048022,0.3134966,0.32044947,0.3251228,0.32714522,0.32735708,0.3270229,0.3267989,0.32622632,0.32446742,0.32116032,0.31674704,0.31211445,0.3082205,0.30631605,0.30991587,0.32600057,0.36210915,0.4169668,0.47484675,0.5113383,0.51107615,0.4786118,0.43434548,0.39849424,0.38062534,0.37843835,0.38369516,0.38736388,0.38385078,0.37232265,0.35567024,0.33744872,0.3195708,0.30303276,0.28955674,0.28292337,0.28645793,0.3004116,0.31996608,0.337936,0.34755775,0.34553066,0.33359027,0.32074538,0.32367846,0.35696474,0.4206139,0.4907392,0.53563976,0.5357638,0.4994141,0.44901136,0.40526566,0.3748673,0.3560629,0.3438253,0.33424917,0.32480207,0.31473777,0.30499217,0.29632828,0.28921196,0.28400907,0.28334424,0.2915859,0.3122284,0.34342647,0.37670168,0.40039137,0.4059039,0.39172828,0.36367324,0.33125943,0.30423447,0.28879178,0.2867703,0.29551804,0.31053665,0.32678774,0.34061015,0.3494247,0.35289136,0.35281596,0.353752,0.35999063,0.3728787,0.38812032,0.39859548,0.3975407,0.38262865,0.3557779,0.32297182,0.2917809,0.26907495,0.25809506,0.2570847,0.26085082,0.26310137,0.26017228,0.25178203,0.24433005,0.24972415,0.28512987,0.3567275,0.45201477,0.53427166,0.5718293,0.5547011,0.5061682,0.45544812,0.42117453,0.40088955,0.38529482,0.3683423,0.35216358,0.34145096,0.33793426,0.33862388,0.33844075,0.33405426,0.32552388,0.316236,0.3103658,0.31059575,0.3163124,0.32424524,0.33089638,0.33469257,0.33845973,0.3489201,0.37531742,0.42076826,0.4761279,0.51928335,0.5299756,0.5042748,0.4575356,0.4112099,0.3788245,0.3643624,0.36882293,0.39272556,0.4309838,0.4682664,0.48703298,0.47944596,0.4531633,0.42303658,0.4003148,0.38961932,0.3907294,0.40110183,0.41377428,0.4211364,0.41861042,0.4083874,0.39491308,0.3840163,0.38302767,0.4016125,0.44110847,0.48708066,0.5127285,0.50081086,0.45664346,0.4045911,0.36669073,0.35048926,0.34913722,0.3524424,0.35412243,0.35341343,0.352259,0.3516307,0.3513496,0.3502526,0.3484019,0.34551182,0.34143353,0.3352462,0.32753953,0.31968257,0.31356528,0.309563,0.30733788,0.30860493,0.31942412,0.34907055,0.3986231,0.45477057,0.49062482,0.4874775,0.44642055,0.38932368,0.33849916,0.30548164,0.28864595,0.2819008,0.27983096,0.27948934,0.27946803,0.27932167,0.2790459,0.278784,0.28083965,0.2906749,0.3181565,0.36555365,0.42212233,0.45972455,0.45795587,0.41554555,0.35760298,0.31103158,0.2947966,0.31423894,0.36630917,0.43503308,0.49064168,0.5041563,0.46815017,0.40386474,0.34364608,0.30774072,0.29663396,0.29966483,0.3079168,0.3178337,0.3288786,0.33954784,0.34744862,0.3513091,0.35230914,0.35255328,0.35273328,0.351871,0.34903118,0.34488848,0.34099528,0.33854878,0.3373681,0.33738458,0.34078112,0.35337818,0.38084093,0.42040086,0.45756444,0.4720644,0.45399117,0.4095265,0.35731146,0.31313774,0.2843255,0.26865736,0.2608733,0.2558708,0.25133657,0.24726327,0.24435888,0.2426381,0.24138384,0.24285698,0.2536937,0.2844083,0.33568004,0.39323267,0.42810202,0.4232365,0.38399887,0.337785,0.31002104,0.31380105,0.35206386,0.4167905,0.48911598,0.5332618,0.5240348,0.46021023,0.37469754,0.3026908,0.26480103,0.2568299,0.2660674,0.28001058,0.29203746,0.29902604,0.30092645,0.2994343,0.29694346,0.29501525,0.29429042,0.29488254,0.29645714,0.2981331,0.2984604,0.29673967,0.29347923,0.29029438,0.2891347,0.29361096,0.3097161,0.3430879,0.39029953,0.43546638,0.45625505,0.44102383,0.39609274,0.34137532,0.296384,0.27414224,0.28236666,0.32125083,0.3787974,0.427552,0.44101512,0.4110607,0.355868,0.30362844,0.275151,0.27683666,0.3064462,0.3538749,0.40049693,0.4220401,0.4060427,0.3599644,0.3073543,0.26966497,0.25925052,0.28139368,0.33491078,0.40788516,0.4741205,0.50884384,0.5040235,0.47342107,0.43573484,0.3988943,0.35825935,0.30709517,0.24689819,0.18660574,0.13654792,0.101653755,0.0806269,0.068720736,0.061496753,0.056481827,0.052686986,0.049640566,0.046892807,0.044164542,0.041423094,0.038832832,0.036529455,0.034600418,0.033041794,0.03179681,0.03069137,0.029522525,0.028141087,0.026568694,0.024950547,0.02346842,0.022216529,0.021173311,0.020229736,0.019262277,0.018196948,0.017032236,0.015839495,0.014701846,0.013684131,0.0127936425,0.01201759,0.01132265,0.010665387,0.009984304,0.0092222225,0.008373787,0.007479204,0.0066118483,0.005815106,0.005110234,0.0044930778,0.003964124,0.0035175318,0.0031451427,0.0028318993,0.0025655506,0.0023339912,0.0021302358,0.0019485903,0.0017889813,0.0016500093,0.001532586,0.001480578,0.0018764023,0.0040809154,0.010762292,0.024808675,0.046537895,0.07185073,0.093544155,0.10600289,0.108490564,0.105133116,0.10118703,0.10007745,0.10158533,0.10321084,0.10239618,0.0996247,0.0979607,0.10033802,0.105698965,0.10989223,0.1092109,0.10463827,0.10059772,0.10137137,0.10703528,0.1145324,0.120330095,0.12326164,0.12356857,0.12138656,0.11559848,0.10532665,0.09135949,0.07725673,0.067957275,0.06849477,0.08098575,0.10385754,0.13083684,0.1545956,0.16929023,0.17378902,0.17007464,0.1617711,0.151536,0.14091213,0.13024263,0.119922854,0.11136059,0.1080588,0.11501545,0.13524745,0.16644181,0.20012583,0.2273945,0.243438,0.24950433,0.24890178,0.24494503,0.2398507,0.23544134,0.23251939,0.23075378,0.22908843,0.226601,0.2230374,0.21889792,0.21504807,0.21198499,0.20946479,0.20690769,0.20396332,0.20061977,0.19683363,0.19252877,0.18776248,0.18286997,0.17821805,0.1740663,0.1704192,0.167054,0.16360112,0.15991186,0.15617059,0.15269731,0.14960669,0.14686097,0.14451794,0.14270215,0.14139964,0.14034824,0.13922274,0.13767745,0.13533139,0.13191116,0.12749231,0.12254935,0.11763091,0.11313978,0.10918187,0.10551063,0.10157954,0.09696835,0.09186753,0.08696451,0.082828455,0.07946987,0.07655744,0.07384219,0.07131026,0.0690501,0.06711929,0.06549398,0.06442748,0.06509912,0.07013946,0.082496375,0.10319335,0.1295188,0.15617758,0.17816071,0.193065,0.20065309,0.20104028,0.19354232,0.17743237,0.15417163,0.12898704,0.11053267,0.10690602,0.12106726,0.14810736,0.17808123,0.20133637,0.21311085,0.21387486,0.20680863,0.1949333,0.17987226,0.16265716,0.14484233,0.12856062,0.11489868,0.102700986,0.08969859,0.07486158,0.06018309,0.049446125,0.04699998,0.055842202,0.0769999,0.107403755,0.13988657,0.16481839,0.17473035,0.16718481,0.14586563,0.11811611,0.09265298,0.075356275,0.067520946,0.064869806,0.062567405,0.05995457,0.06411935,0.08550644,0.12984832,0.19169493,0.25563395,0.30585626,0.33428025,0.34328413,0.3398259,0.33036348,0.31817222,0.30502284,0.29219568,0.2809924,0.27206185,0.26553372,0.26092765,0.25764623,0.25489178,0.2520521,0.2486583,0.24460268,0.23994417,0.2348762,0.22953683,0.22406785,0.21857305,0.21321289,0.20817684,0.20367344,0.19981368,0.19648868,0.19345962,0.19051772,0.18766735,0.18501431,0.18260644,0.18031518,0.17787224,0.17499071,0.17147696,0.16733134,0.1627435,0.15803464,0.15355809,0.14957263,0.14613716,0.14306064,0.1400549,0.1369159,0.13364023,0.13034327,0.12714893,0.1241329,0.12127793,0.11846777,0.11549833,0.11227923,0.108950205,0.10587058,0.10332941,0.10136417,0.09972609,0.09809002,0.09622836,0.09417891,0.0924624,0.092217036,0.09511415,0.10232764,0.113575526,0.1265229,0.13813631,0.1460754,0.14998019,0.15105604,0.15177852,0.15481043,0.16209358,0.17346032,0.18690006,0.19984214,0.21070047,0.21890266,0.22400545,0.22544514,0.2233137,0.21906732,0.21494871,0.21218188,0.21042798,0.20848362,0.2061012,0.2039152,0.2024438,0.20128138,0.19952606,0.19716282,0.19492553,0.1940784,0.19477488,0.1962624,0.19706194,0.19665147,0.19566303,0.19515003,0.19518058,0.19431682,0.1909172,0.1839981,0.17364971,0.16097616,0.14987312,0.1493598,0.17022394,0.21712346,0.2797983,0.33768174,0.37187085,0.37820885,0.36604273,0.3498838,0.33936396,0.3368082,0.33864096,0.33949438,0.33556306,0.32686684,0.31666386,0.30901578,0.3062676,0.3079534,0.31097546,0.31144774,0.3069714,0.29864454,0.28971756,0.2830693,0.278795,0.2745768,0.2669851,0.2541967,0.23873109,0.22858363,0.23261668,0.25351772,0.28442287,0.31407902,0.33459732,0.3447779,0.34722388,0.34477508,0.3392073,0.33262494,0.32663202,0.32236862,0.318727,0.31491253,0.3103669,0.30639672,0.3035598,0.30178928,0.29957747,0.2961053,0.2912624,0.2862639,0.28202537,0.27896667,0.275583,0.26870394,0.25401416,0.23005046,0.20217586,0.18296923,0.18481994,0.21076632,0.25071365,0.28900948,0.3137764,0.32317016,0.32167664,0.3157028,0.30920473,0.30377695,0.29934147,0.29505655,0.290585,0.28589442,0.28174505,0.27801463,0.2741324,0.26902208,0.2626286,0.25569615,0.24910998,0.24343985,0.23868804,0.23509882,0.23211603,0.22911371,0.22502078,0.22032534,0.21641082,0.21565975,0.21956377,0.22827111,0.23988895,0.251136,0.25906444,0.262375,0.2619283,0.25897348,0.25427237,0.24766986,0.23893322,0.22784907,0.21454678,0.19989862,0.18589175,0.17498434,0.16914167,0.1698839,0.17864262,0.19646873,0.22156139,0.2482559,0.26845357,0.2763951,0.27166468,0.25886455,0.2440034,0.23151292,0.22337101,0.21930563,0.21707453,0.21312517,0.2057875,0.19874334,0.20054741,0.21834119,0.25033537,0.28595373,0.31261516,0.3244084,0.3230462,0.31462643,0.30446944,0.29580697,0.289319,0.28442407,0.2799993,0.27575943,0.27213347,0.26978803,0.2685229,0.26737562,0.2651738,0.26147708,0.25663376,0.25138628,0.24625011,0.2413569,0.23657016,0.23168631,0.22656135,0.22117858,0.21566725,0.21018086,0.204704,0.19907326,0.19314255,0.18707438,0.18122609,0.17596672,0.17137854,0.16730769,0.16342725,0.15946008,0.15530334,0.1511445,0.14737546,0.1443486,0.14216124,0.14060442,0.13932507,0.1379963,0.13633992,0.13411172,0.13115351,0.12755887,0.12371266,0.12008044,0.1169636,0.11438244,0.11223384,0.11041746,0.108907335,0.10764725,0.10650432,0.10525441,0.10367745,0.10160193,0.098959625,0.09581106,0.09237143,0.08892598,0.08566768,0.08263233,0.07977352,0.07709712,0.07465428,0.07246708,0.07048186,0.06861629,0.06679365,0.06495694,0.06306871,0.06111406,0.05912615,0.057175454,0.055365846,0.053771432,0.052373577,0.051081255,0.049779344,0.048412573,0.04695371,0.0453974,0.04374942,0.042048987,0.040355016,0.03872939,0.037254546,0.03603302,0.035137106,0.03451401,0.033953335,0.033204082,0.032122906,0.030845128,0.029721918,0.029185329]