[0.05671793,0.054821495,0.050090194,0.04296979,0.03482539,0.027293624,0.021428311,0.017301345,0.014688511,0.013609205,0.014272869,0.016497357,0.019472929,0.022267506,0.024394741,0.02608551,0.027613163,0.029081015,0.030264722,0.031220144,0.031901244,0.032236118,0.03188399,0.031039618,0.03010912,0.029616833,0.029396912,0.029137569,0.028481377,0.027474195,0.026027864,0.023887567,0.020663232,0.016428845,0.011850054,0.0078984685,0.00522381,0.0038943512,0.0035212606,0.003569246,0.0036147302,0.0034795578,0.0032395276,0.003088737,0.0032257654,0.0039641703,0.0057809087,0.009176458,0.014234908,0.020509973,0.027391342,0.034511525,0.04175235,0.048834626,0.05542326,0.06173936,0.06894388,0.07846597,0.09097863,0.10593382,0.12255865,0.14011537,0.15825182,0.17591806,0.19213946,0.20599382,0.21698534,0.22417843,0.226584,0.22478928,0.222136,0.223092,0.22921191,0.23672712,0.23902915,0.23255974,0.21975113,0.20770489,0.2018498,0.20424996,0.2117665,0.22081918,0.22732246,0.23129024,0.2346676,0.24142206,0.2523538,0.26471916,0.2733175,0.2744954,0.26824126,0.25765097,0.24690533,0.2397619,0.23790628,0.24110156,0.24610136,0.24871558,0.24472417,0.23310082,0.21679364,0.20195138,0.19467919,0.19680059,0.20508529,0.21312802,0.21597497,0.2125804,0.20445032,0.19385505,0.18159997,0.16948824,0.15933843,0.15329473,0.1508085,0.15018986,0.14998668,0.1499986,0.15039037,0.149583,0.14676298,0.14225991,0.1400409,0.14231944,0.14956534,0.15754552,0.16375072,0.16616112,0.16631491,0.16332452,0.15697813,0.14584818,0.13316567,0.123573475,0.12277371,0.13114707,0.1446118,0.15606815,0.16120994,0.1596867,0.15468071,0.14915185,0.14518936,0.14338975,0.14398193,0.14556238,0.14566676,0.14230768,0.13699968,0.13428704,0.1379801,0.14754671,0.1586252,0.16805176,0.17648606,0.18837321,0.20704485,0.23266055,0.26049086,0.28278112,0.29129246,0.28143287,0.25584933,0.22308601,0.19396766,0.17563458,0.17072195,0.1763168,0.18653269,0.19265004,0.18875061,0.17390709,0.15517546,0.1413396,0.13907981,0.14778809,0.16275573,0.17748988,0.1886398,0.19631308,0.20291747,0.20977752,0.2159035,0.21992344,0.22183502,0.22208166,0.21954374,0.21192771,0.19981082,0.18679637,0.177083,0.17019139,0.1627156,0.1509724,0.13522896,0.11800539,0.10297414,0.092539765,0.08777905,0.08783713,0.09060741,0.094112895,0.09761155,0.102263846,0.109650135,0.12159008,0.13845605,0.15954776,0.18142979,0.20019718,0.21295363,0.22036804,0.22394478,0.22360456,0.21672516,0.2021137,0.18264796,0.16449183,0.15293588,0.15030475,0.15716441,0.17460698,0.2032669,0.24103141,0.2801267,0.31068006,0.32307455,0.31485263,0.28909695,0.25549427,0.22300512,0.19882752,0.18458562,0.17929363,0.17963302,0.18253887,0.18517794,0.18646963,0.18688516,0.18864836,0.19373338,0.20309585,0.2157216,0.22965859,0.24191558,0.24961847,0.25128016,0.24908423,0.2479093,0.25245878,0.26426813,0.28335306,0.31057915,0.34754178,0.39220855,0.43573043,0.46526906,0.4707602,0.45223305,0.42031038,0.39024746,0.37230134,0.3664277,0.36678323,0.36932942,0.37613952,0.39133942,0.41428027,0.4387009,0.45342195,0.45219135,0.43470192,0.4111294,0.38966677,0.37384155,0.3569202,0.33409247,0.30480278,0.27759123,0.26158383,0.26532808,0.289621,0.32964757,0.3750627,0.41751167,0.4519014,0.4766171,0.49180317,0.50057393,0.5100603,0.52547216,0.54437345,0.5531411,0.5380335,0.495088,0.43746486,0.3848522,0.35161495,0.33763197,0.3326712,0.3259475,0.3123735,0.29433265,0.2766793,0.26406524,0.25785494,0.25643566,0.2565405,0.25448963,0.24929887,0.2418905,0.23505954,0.22972989,0.22550605,0.22066714,0.21516724,0.2099892,0.2073365,0.2081614,0.21270871,0.21990961,0.22912027,0.23973174,0.25152817,0.26318252,0.2721035,0.27520773,0.2712098,0.2620734,0.25142536,0.24208225,0.23445399,0.22784396,0.22211115,0.21776982,0.2156531,0.21564765,0.21707861,0.21810055,0.21729624,0.21435142,0.21094336,0.20923878,0.21065165,0.21512078,0.22147663,0.22828503,0.23425168,0.23843747,0.2395355,0.23618884,0.22805066,0.21703975,0.20657565,0.19905348,0.19448797,0.19118409,0.18810648,0.18529464,0.18285044,0.17997022,0.17534614,0.16890268,0.16138966,0.15475444,0.15008749,0.148475,0.14918976,0.15157312,0.15438147,0.15706377,0.15843584,0.15789372,0.1564969,0.15723233,0.16173154,0.16806208,0.17210157,0.17277764,0.17337894,0.17774267,0.18549202,0.191944,0.19433296,0.19396238,0.19473054,0.19698991,0.19775619,0.19393699,0.18567242,0.17560534,0.16616279,0.15879719,0.15369248,0.1502909,0.14785482,0.1471243,0.15020311,0.15856369,0.17057161,0.18259186,0.19101591,0.19472797,0.19416337,0.19162923,0.18946862,0.1899225,0.1926549,0.19518256,0.19373286,0.18607448,0.17323925,0.15878718,0.14734425,0.14177516,0.14269894,0.14763759,0.15288359,0.15491425,0.15215349,0.14450474,0.13293664,0.11924832,0.10578778,0.09426441,0.08431762,0.074434884,0.0636787,0.053053644,0.044333655,0.03862816,0.0358215,0.034804627,0.034119766,0.03224362,0.028790487,0.024726639,0.022094823,0.022107536,0.024546452,0.027819067,0.030606166,0.032322258,0.03327624,0.03384332,0.034462918,0.035342325,0.036508832,0.037510976,0.037991058,0.037946317,0.03792518,0.03830548,0.039143115,0.040300105,0.042351853,0.046965506,0.056793768,0.07382995,0.0981284,0.12681292,0.15548964,0.17927055,0.1947578,0.2004414,0.19741285,0.18838203,0.17703463,0.16732639,0.16297649,0.16602856,0.17530183,0.1863869,0.19449395,0.19742237,0.19709788,0.19625337,0.19607241,0.19440007,0.19016449,0.18396984,0.17849259,0.17360498,0.16758358,0.1590297,0.15039712,0.1461568,0.14894293,0.15744312,0.16742007,0.17510642,0.17890258,0.17955096,0.17949377,0.18113625,0.18578933,0.19212113,0.19804348,0.20237483,0.20608951,0.21056665,0.2157888,0.22109126,0.22597514,0.23153795,0.23787582,0.2447065,0.2502174,0.25399005,0.2555144,0.25529277,0.25350645,0.25160587,0.25204638,0.2575593,0.26914835,0.28461403,0.299212,0.30785704,0.30696234,0.29593968,0.27709612,0.25635856,0.24058129,0.23454185,0.23700003,0.24250071,0.24475934,0.24164909,0.23498768,0.22923942,0.2269773,0.22768503,0.22811502,0.22648527,0.22442138,0.22543706,0.23143505,0.24090357,0.25100467,0.25935587,0.26477203,0.2661881,0.26267102,0.25457647,0.24406965,0.23446745,0.2277792,0.22431082,0.22317404,0.22462828,0.22931637,0.23709577,0.24460469,0.24678384,0.23952208,0.22326462,0.20270894,0.18435518,0.17249972,0.16828962,0.16959804,0.17338188,0.1757868,0.17458712,0.16886795,0.16054142,0.15136369,0.14278197,0.13424258,0.12602876,0.11871482,0.11416173,0.11260187,0.11364744,0.11544087,0.11746707,0.11965572,0.123158395,0.12826027,0.13475424,0.14121287,0.1464117,0.1496822,0.15201817,0.15425831,0.15627766,0.15619595,0.15274964,0.14612578,0.13789885,0.12977977,0.123156436,0.11893239,0.11694618,0.116054855,0.115172826,0.114274405,0.1140467,0.11478141,0.11630056,0.1189437,0.12381212,0.13117208,0.13871358,0.14241177,0.13967347,0.13202594,0.12323324,0.11600813,0.10923884,0.10072192,0.0897123,0.07831224,0.0688086,0.062045556,0.05770162,0.055939313,0.057289645,0.061489347,0.06659455,0.07165506,0.07871915,0.09367285,0.12118274,0.16003753,0.20106035,0.2322048,0.24619526,0.24449013,0.23507404,0.22576894,0.22110742,0.22214699,0.22861332,0.23825288,0.24777372,0.25482866,0.26212725,0.27563632,0.30071235,0.335452,0.3712982,0.39706182,0.40742576,0.40535843,0.3968418,0.38371113,0.3639067,0.3419576,0.33137718,0.34494582,0.37802708,0.40895376,0.4149576,0.38970664,0.34491596,0.29836544,0.2631529,0.24404228,0.24034262,0.24666066,0.25548598,0.2594778,0.25630292,0.24771811,0.23785032,0.23004897,0.22735761,0.2322139,0.24439943,0.25982738,0.2716763,0.27616987,0.27545753,0.27642867,0.2845625,0.29942012,0.31640553,0.33129704,0.34451923,0.3570776,0.36754596,0.37100217,0.3656063,0.35452607,0.34351683,0.33577096,0.33165863,0.33136353,0.335036,0.34111074,0.34514797,0.34307876,0.33355847,0.31946802,0.30484405,0.2931113,0.28424573,0.27675506,0.2697911,0.26607823,0.2699319,0.28322282,0.30278766,0.3222574,0.3365725,0.3445278,0.3480616,0.35036042,0.35357594,0.35824862,0.3612659,0.35755792,0.34189168,0.3145645,0.2810399,0.25022215,0.2274393,0.21372044,0.2055894,0.19977008,0.19335024,0.18570186,0.1771506,0.16975118,0.16450383,0.16061364,0.154742,0.14485283,0.13218933,0.12135175,0.11617907,0.11757193,0.124213435,0.1348371,0.1485408,0.16304855,0.17469217,0.18002021,0.1783451,0.17125219,0.16180901,0.15281081,0.14675999,0.14486869,0.14692247,0.15151142,0.1568662,0.16179265,0.16512017,0.16588986,0.1629043,0.15634781,0.14767833,0.13977705,0.13473053,0.13346599,0.1352237,0.13847442,0.14161585,0.14398728,0.1470105,0.15211852,0.16007411,0.16912454,0.17866093,0.18795894,0.19700515,0.20344347,0.2060815,0.20501374,0.20204,0.19734842,0.19051708,0.18278845,0.17844427,0.18162672,0.19213055,0.20358765,0.20693022,0.19603525,0.17324448,0.14870828,0.135123,0.1398569,0.16095066,0.1881147,0.2079316,0.2113607,0.19853522,0.17911321,0.16526495,0.1652306,0.17982489,0.20631562,0.241,0.2794037,0.31207827,0.32555458,0.3096772,0.26719746,0.21500498,0.17395182,0.1570412,0.16432743,0.18748224,0.21551116,0.23837472,0.24930148,0.2470163,0.23738672,0.22943,0.23001955,0.23885472,0.24976091,0.25450134,0.24819107,0.23200347,0.21254532,0.1972739,0.18859677,0.1822152,0.17095631,0.15172414,0.12751077,0.10428029,0.085660934,0.07148773,0.05972803,0.048843656,0.03885925,0.030747518,0.025843412,0.024747506,0.027085239,0.03160015,0.036887016,0.04142968,0.043827597,0.04297681,0.039059356,0.033254895,0.027439035,0.022847103,0.02010517,0.018964605,0.019251699,0.021415653,0.027274424,0.039371442,0.059714478,0.08824564,0.122629106,0.15889134,0.19292124,0.22099371,0.24044509,0.24980716,0.25037917,0.24621058,0.24224126,0.2403316,0.23736577,0.228877,0.21364774,0.19676542,0.18454516,0.18035907,0.18166046,0.184368,0.18583934,0.18622798,0.18594325,0.18525654,0.18527955,0.18965065,0.20088999,0.21743548,0.23222007,0.2393863,0.2386042,0.23530664,0.23446433,0.23565729,0.2344535,0.22596048,0.21028991,0.19147338,0.17676121,0.17092872,0.17547774,0.18689291,0.20064403,0.21225679,0.21968627,0.22230297,0.22143133,0.21942191,0.21898969,0.2214651,0.22548555,0.22743796,0.22387964,0.21510155,0.2055767,0.201842,0.20833163,0.22564842,0.24908803,0.27019644,0.27986884,0.2746584,0.25875488,0.24091433,0.22776419,0.22134604,0.22053711,0.22372042,0.22860642,0.23191364,0.23021455,0.22245102,0.21174203,0.20388608,0.20503354,0.21645577,0.2344284,0.25118253,0.26243517,0.26906714,0.27623674,0.2873484,0.30300596,0.32117102,0.33880743,0.35112318,0.35563576,0.35420159,0.35516047,0.36507997,0.38350606,0.3994085,0.40023205,0.38267133,0.3577688,0.34239674,0.3431346,0.3500092,0.3443773,0.31589225,0.27027246,0.22419353,0.19298291,0.1816131,0.18518986,0.19373171,0.20011319,0.20182736,0.20150764,0.20191745,0.20584984,0.21479326,0.2301024,0.24988532,0.2675886,0.275305,0.27014765,0.2594019,0.2540671,0.26087943,0.2764751,0.29284978,0.30229926,0.3007473,0.28767082,0.2682369,0.25143027,0.24415492,0.2432936,0.23904262,0.22374715,0.200545,0.17849182,0.16418494,0.15687734,0.1528991,0.15181081,0.15615682,0.16787809,0.18414533,0.20026566,0.21219756,0.21899997,0.22120817,0.221096,0.22252254,0.22949617,0.24288905,0.2586874,0.27106583,0.2765533,0.27631247,0.27420232,0.27394626,0.27770638,0.28628898,0.30005178,0.31732222,0.33376005,0.3427714,0.3408593,0.329401,0.31270584,0.29299366,0.26974228,0.24411206,0.22026189,0.20426814,0.19878043,0.20261943,0.21195339,0.22307046,0.23453498,0.24532713,0.25497317,0.26096633,0.26217952,0.25830236,0.25148502,0.24345851,0.23532565,0.227059,0.2190123,0.21317804,0.212767,0.2199053,0.23336785,0.24905221,0.26293632,0.27273136,0.27765128,0.27771387,0.27416018,0.26993263,0.26724902,0.26542413,0.26049706,0.24975383,0.23504739,0.22207995,0.21506178,0.21364586,0.21540575,0.22024226,0.23033369,0.24577267,0.26157817,0.27162078,0.27377164,0.27232894,0.27344057,0.28014374,0.28958857,0.2945569,0.28913215,0.27303144,0.2534966,0.23831706,0.23100041,0.2287312,0.22906877,0.23100792,0.23441772,0.23572932,0.23202507,0.22275591,0.21127315,0.2000853,0.19092667,0.18452865,0.18158333,0.18119614,0.18113524,0.18026495,0.17870569,0.17776223,0.17650948,0.17417319,0.1693346,0.16313727,0.15609497,0.14963537,0.14378136,0.13908891,0.13477983,0.12958166,0.12139427,0.109577894,0.095481314,0.08238865,0.07294815,0.067712635,0.064552866,0.060691405,0.05461155,0.047046095,0.040344883,0.036742445,0.037513014,0.04151897,0.04627836,0.048542604,0.047723282,0.04591984,0.04826944,0.059464913,0.081984825,0.11312517,0.14611755,0.17367865,0.19363104,0.20934713,0.22503491,0.24017589,0.25072864,0.2541673,0.2531488,0.25226063,0.25424778,0.2575766,0.25947776,0.25705168,0.24976923,0.2379604,0.22448957,0.21203466,0.20403261,0.20243569,0.21075135,0.23193,0.26774743,0.31324884,0.35797095,0.3877767,0.3929654,0.37209496,0.3332735,0.2886737,0.24780993,0.21609116,0.19545583,0.18792178,0.19278334,0.2067052,0.22408618,0.2402596,0.2533989,0.2632607,0.27217743,0.2817202,0.29278997,0.3018819,0.30495143,0.299468,0.28698817,0.27041218,0.2514691,0.23201828,0.2147757,0.20391892,0.20146503,0.20724279,0.21905623,0.23404314,0.2490242,0.26126885,0.2704955,0.27793637,0.2850398,0.29033187,0.29139003,0.28580952,0.27440777,0.258791,0.24179709,0.22532977,0.21244393,0.20568822,0.20677857,0.21446991,0.22520877,0.23512925,0.24244732,0.24824153,0.25438502,0.26097655,0.2660325,0.26775968,0.2677273,0.26985654,0.27667025,0.2850159,0.28798437,0.2805601,0.26509678,0.24932408,0.2406313,0.24074553,0.24684007,0.25530574,0.26473436,0.27525425,0.286116,0.2945453,0.29682925,0.29045963,0.2757968,0.25515267,0.23157346,0.20776029,0.18671495,0.17197035,0.16563255,0.16708706,0.17281729,0.17936325,0.18460119,0.18714094,0.18529697,0.17797464,0.16742931,0.15952303,0.159505,0.16784012,0.17889993,0.1868589,0.1890897,0.18713827,0.1825573,0.1753216,0.16529106,0.15357263,0.14297396,0.13514985,0.13008088,0.12658358,0.12424301,0.12457494,0.12873982,0.13681129,0.14589958,0.15358059,0.15756752,0.15789141,0.1544439,0.14887099,0.14356963,0.14267318,0.1498606,0.16665612,0.19047189,0.2138809,0.22801971,0.22762378,0.21558791,0.20003788,0.18764819,0.17818989,0.16679017,0.14974366,0.12878755,0.109089784,0.095145226,0.08744324,0.08366087,0.080863036,0.07751001,0.07311476,0.06776739,0.061665308,0.055360705,0.04995336,0.04736359,0.049963947,0.05947272,0.07634416,0.09978255,0.12884529,0.16157013,0.19464032,0.2234131,0.24543631,0.26261243,0.27986145,0.29981852,0.3193692,0.3328265,0.33830956,0.34036398,0.34482458,0.3528335,0.3610027,0.3676423,0.37505367,0.38537845,0.39489087,0.39677176,0.38735664,0.36924544,0.34689584,0.32373962,0.30299863,0.29066157,0.29298547,0.31165645,0.33994475,0.36549547,0.37695995,0.37017933,0.34979686,0.32550254,0.30781958,0.3032671,0.3124992,0.32894465,0.34282252,0.34682128,0.3404704,0.32899928,0.31764325,0.3095703,0.3061659,0.30986753,0.32129416,0.33646485,0.3467218,0.34457263,0.32885197,0.30421224,0.27664158,0.25039,0.22815897,0.21290566,0.2054346,0.20487434,0.20713474,0.21042712,0.21304715,0.21558416,0.21690743,0.21717326,0.21577817,0.21293831,0.20878504,0.2059443,0.20816064,0.21792288,0.23200454,0.24286391,0.24309285,0.23167647,0.21415836,0.19737326,0.183282,0.16856481,0.1503353,0.13059339,0.1147858,0.10687828,0.106296815,0.11033749,0.117076,0.12731545,0.14218713,0.16027881,0.17663014,0.18532084,0.18451257,0.17788231,0.17188178,0.1701693,0.1711545,0.1709408,0.1672877,0.1620285,0.15790991,0.1560957,0.15478025,0.15236443,0.14885516,0.14607595,0.1446262,0.14333057,0.13971502,0.13265578,0.1231676,0.114267595,0.10919442,0.109806515,0.11528289,0.122436285,0.12760052,0.1296447,0.13078465,0.13417892,0.13936073,0.14170104,0.13597909,0.12217001,0.10526493,0.09174635,0.084350586,0.082375586,0.08384809,0.08822601,0.096189745,0.10760062,0.12100091,0.13351513,0.14365025,0.15073021,0.15482605,0.15466227,0.14893205,0.13779706,0.1233989,0.108487524,0.094302535,0.08119393,0.069466196,0.0601794,0.053958926,0.05021638,0.04752111,0.04452123,0.040978685,0.037157968,0.033638354,0.03052915,0.028259873,0.027715242,0.029980967,0.03526037,0.04149903,0.045713123,0.044981163,0.039408367,0.030796042,0.022417681,0.016038446,0.012540939,0.011456539,0.012335162,0.014336106,0.016725842,0.019153358,0.022536287,0.02885572,0.039931174,0.056033712,0.07557806,0.09633195,0.116301514,0.13429742,0.14953484,0.1622693,0.17364042,0.18516819,0.19697829,0.20769636,0.21578366,0.22154643,0.22699009,0.23387896,0.24153863,0.24690314,0.24681155,0.24076408,0.23206216,0.2254368,0.22401011,0.22673972,0.23002465,0.23068446,0.22891311,0.22812724,0.23157163,0.23940933,0.24728747,0.24982063,0.24365191,0.23033917,0.2146823,0.20217384,0.1958865,0.19576494,0.1997007,0.205652,0.21327363,0.2241105,0.23871148,0.25441834,0.2652135,0.2676908,0.26459762,0.2636756,0.27001426,0.28122407,0.28957996,0.28832987,0.27747032,0.2624701,0.25024197,0.24342375,0.2401783,0.23708318,0.23303784,0.22941001,0.2276117,0.22772062,0.22955434,0.23333216,0.23875594,0.24330305,0.24444522,0.24254395,0.24248205,0.24936962,0.26442358,0.2824898,0.29614747,0.29966518,0.29307452,0.28035077,0.26722994,0.2575495,0.2528521,0.2520295,0.25204036,0.24914151,0.24097419,0.22898768,0.21775712,0.2128206,0.21591471,0.22414261,0.23173697,0.23611788,0.2393799,0.24635261,0.25955665,0.27792832,0.29716626,0.31063053,0.31148994,0.2965733,0.27117667,0.2458561,0.23032176,0.2257414,0.22743571,0.2290437,0.22787195,0.22344942,0.21649723,0.20805465,0.20047872,0.19651733,0.19747166,0.20237677,0.20986734,0.22021766,0.23428732,0.25029308,0.2626395,0.2658378,0.25963625,0.25039044,0.24598163,0.2505574,0.26121745,0.27204695,0.27719986,0.27610692,0.2710975,0.26666662,0.26391485,0.26205966,0.2577107,0.24998802,0.23995505,0.23204106,0.22896153,0.23047537,0.23185831,0.22898851,0.21996297,0.20642935,0.18984592,0.17153098,0.15207787,0.13289687,0.11560812,0.10156835,0.091255896,0.083652295,0.07700956,0.069655634,0.061274786,0.0524615,0.04419421,0.036945056,0.030973444,0.026233671,0.022754421,0.020367185,0.019175379,0.019906605,0.02445645,0.035544936,0.055615682,0.08555008,0.12333936,0.16450484,0.20330845,0.23618524,0.26234296,0.2828469,0.29766238,0.30681026,0.31362686,0.32525158,0.34769472,0.37768176,0.40270546,0.40745315,0.38617173,0.34561992,0.30178776,0.2688657,0.25411808,0.2570958,0.27281028,0.2941451,0.31272066,0.32329527,0.32546762,0.32498983,0.32780418,0.33811113,0.35689864,0.38382173,0.4149511,0.44185326,0.45503303,0.45063123,0.43364295,0.41379502,0.3993449,0.3952038,0.4040347,0.4272946,0.46029818,0.49045864,0.50088984,0.48507395,0.45318735,0.4275018,0.42266437,0.43924642,0.46677136,0.4985818,0.53048754,0.5579531,0.57017094,0.56068605,0.533501,0.50441945,0.48743236,0.48662582,0.49558917,0.50770384,0.51954323,0.531925,0.5430839,0.5531194,0.56198454,0.57565606,0.5977922,0.6270056,0.65036595,0.6493974,0.6141353,0.55062276,0.48200217,0.4311242,0.41235837,0.42306218,0.450116,0.4755915,0.48689744,0.48112676,0.46339926,0.4414873,0.41921714,0.39650682,0.37057987,0.34265304,0.31690294,0.29851234,0.28594825,0.27380666,0.25709033,0.23845486,0.22555195,0.22655205,0.24343264,0.2708588,0.2982794,0.3157555,0.31850433,0.3075308,0.2880515,0.26626214,0.24860503,0.23830909,0.23464622,0.23223086,0.22595255,0.21404527,0.19900973,0.18437006,0.1720528,0.16199474,0.15292941,0.14324994,0.13119738,0.11621201,0.09925863,0.08282164,0.06863361,0.057448447,0.0489268,0.04321015,0.04064483,0.041936338,0.047864426,0.059569765,0.0777764,0.10141907,0.12702279,0.15036736,0.16966419,0.18676655,0.20481984,0.22400172,0.24079752,0.25071353,0.25267646,0.24940896,0.24529564,0.24290918,0.24149568,0.23903202,0.23548436,0.23544161,0.24385309,0.26097694,0.28011084,0.2941217,0.30052245,0.301747,0.29858443,0.28888395,0.2698126,0.24355029,0.21585947,0.19342124,0.1793794,0.17401296,0.17546178,0.18157458,0.18989585,0.19816433,0.20458235,0.20817764,0.2085932,0.20681751,0.20539491,0.20820184,0.21712415,0.23133461,0.24765582,0.2637099,0.2771652,0.28528237,0.28528187,0.2772999,0.26505527,0.25300953,0.24317521,0.23527117,0.22940332,0.22805773,0.23323877,0.24419196,0.25586388,0.26392156,0.26649573,0.26556018,0.26267716,0.25851893,0.25207928,0.2427495,0.23090394,0.21919258,0.21213186,0.21405686,0.22652559,0.24769242,0.2745562,0.30483627,0.3370479,0.3680834,0.393419,0.40841722,0.41171578,0.40316948,0.38341764,0.35244015,0.31498322,0.27907604,0.2542049,0.24322574,0.24378335,0.24934769,0.25524363,0.25892094,0.2617657,0.26637265,0.2737095,0.280134,0.2801002,0.27182552,0.26102653,0.25614205,0.26098463,0.27013138,0.27522746,0.27188694,0.26375076,0.25607526,0.2517818,0.24861436,0.24450983,0.23741168,0.22784652,0.21505006,0.20034146,0.18562819,0.17673029,0.17825937,0.19154298,0.20982231,0.2232107,0.2235501,0.21119247,0.19245781,0.17568041,0.16433346,0.15713197,0.14983676,0.14079674,0.13159464,0.12600233,0.12546195,0.12822467,0.13056757,0.13047302,0.12943476,0.13083209,0.13789958,0.15052062,0.16743155,0.18615048,0.20671503,0.22899859,0.25342786,0.2774789,0.29787418,0.3111446,0.31736884,0.31917027,0.3192686,0.3162566,0.30582336,0.28589907,0.26192006,0.24463807,0.24233897,0.2538258,0.26966026,0.27865598,0.27470458,0.25704852,0.22920965,0.19582637,0.1632833,0.13667507,0.11895779,0.10834167,0.101552755,0.09601748,0.09299972,0.09580953,0.10807422,0.131149,0.16329624,0.2000726,0.23458683,0.26123884,0.2772069,0.28574553,0.2914367,0.2971048,0.30016634,0.29674664,0.28625318,0.27260533,0.26176217,0.2565697,0.25662923,0.2589147,0.26185763,0.26579368,0.27278376,0.28411293,0.2985398,0.31266987,0.32184398,0.32418516,0.32071736,0.3158984,0.31283143,0.31299058,0.315037,0.31764057,0.31840828,0.31574222,0.30875883,0.30096567,0.29727745,0.30239832,0.31542933,0.3333474,0.35193732,0.36911264,0.3812342,0.3850042,0.37835658,0.364905,0.35055426,0.34150913,0.33968362,0.34416744,0.35116327,0.35737062,0.36120582,0.36353576,0.36559138,0.3670529,0.36669138,0.36454538,0.3627607,0.3637147,0.36572564,0.3633914,0.350631,0.32788765,0.30202305,0.28229368,0.2720913,0.26866424,0.26649305,0.26423118,0.26274106,0.26355228,0.26343116,0.259575,0.24997921,0.2385421,0.22956969,0.22723043,0.23012428,0.23496073,0.23721975,0.2362686,0.23271348,0.22916234,0.22640415,0.22568595,0.22676378,0.23125203,0.24155915,0.26129365,0.28934583,0.31749237,0.33179477,0.32267037,0.29235616,0.25533012,0.22745329,0.21652658,0.21889092,0.22661775,0.23313473,0.23586732,0.23302065,0.22363542,0.2088056,0.19321488,0.18264055,0.18035792,0.18550628,0.19431204,0.20194249,0.20463867,0.20020191,0.19005322,0.17772107,0.16850124,0.16526328,0.16797209,0.17298943,0.1764011,0.17599414,0.17210107,0.1657771,0.15718828,0.14554913,0.13100977,0.1154058,0.101700015,0.09140443,0.08387345,0.07713548,0.07033226,0.06462335,0.062281918,0.064691484,0.07173047,0.08182841,0.0935419,0.105126746,0.11564825,0.123652,0.12815313,0.12766623,0.12221411,0.11379992,0.106787,0.10536689,0.11166937,0.12508988,0.1433503,0.16265394,0.17847008,0.18759258,0.19131911,0.19418065,0.19841887,0.19991492,0.19238134,0.17532115,0.15602416,0.14259553,0.1368752,0.13515514,0.13397442,0.13306125,0.13293622,0.13264807,0.13066243,0.1274928,0.12592156,0.12818976,0.13322888,0.13613917,0.13212751,0.1205805,0.10686565,0.09916336,0.1040199,0.12294824,0.15119952,0.17901601,0.19558088,0.19473095,0.17869377,0.15740694,0.14350753,0.14552163,0.16174664,0.18008178,0.18511313,0.16967976,0.13986467,0.11016175,0.09289167,0.09202545,0.10341248,0.11876339,0.12969929,0.13152719,0.12453651,0.11258262,0.09959325,0.08863246,0.08183812,0.08002389,0.08072856,0.07897014,0.07115034,0.05817209,0.044714075,0.034938857,0.030338226,0.029955382,0.03258551,0.03708014,0.041756347,0.044252068,0.04267846,0.03735169,0.030233428,0.023705667,0.018743545,0.015336438,0.012958524,0.011292246,0.010027252,0.008845804,0.0075917463,0.006418843,0.005755711,0.0059965122,0.007372731,0.009874952,0.013120403,0.016325423,0.018500457,0.019254835,0.019221524,0.02025394,0.024574086,0.033788063,0.047581684,0.06363826,0.078798085,0.091492206,0.10274298,0.11540965,0.1313638,0.15028866,0.16974215,0.18691947,0.19979762,0.20830445,0.21511944,0.22418682,0.2373207,0.2504973,0.255653,0.24630098,0.22365133,0.19611509,0.17402948,0.16362105,0.16542222,0.17629252,0.19089566,0.20338482,0.20858961,0.20606738,0.2003657,0.19902557,0.2070154,0.22382434,0.24337257,0.25702426,0.258388,0.24650086,0.22660987,0.20610817,0.1907261,0.18158962,0.1762566,0.17101385,0.16358875,0.15550904,0.15075006,0.15387096,0.16500276,0.17990805,0.19116573,0.19386457,0.18785183,0.1772464,0.16645612,0.15772398,0.1516311,0.14951514,0.15354092,0.16518259,0.18159527,0.1963145,0.20161413,0.19423877,0.17712794,0.15771215,0.14306438,0.13602139,0.13537997,0.13739634,0.13929377,0.14000933,0.14097625,0.1440966,0.1502914,0.15843041,0.16587628,0.17091243,0.17321075,0.1748122,0.17668349,0.17882724,0.17876796,0.1756395,0.17007196,0.16459237,0.1605192,0.15801074,0.15690045,0.15706025,0.15827273,0.15910392,0.15838726,0.155082,0.14961754,0.14333524,0.13883506,0.1386354,0.14383507,0.15330176,0.16305979,0.16783082,0.16305238,0.14860268,0.12874517,0.10986597,0.0961551,0.08858409,0.08681389,0.09150275,0.1048547,0.12746617,0.1562637,0.18481578,0.20595813,0.21578325,0.21276468,0.20010002,0.18116313,0.16153803,0.14392017,0.13161696,0.12561582,0.12642182,0.1318113,0.13851637,0.14362605,0.14572188,0.14561659,0.14501272,0.14531629,0.14567757,0.14373718,0.13752288,0.1270848,0.11383956,0.099600546,0.0859902,0.07520108,0.06907163,0.06875149,0.073447645,0.08185124,0.09250369,0.10495824,0.11864088,0.13277084,0.14584142,0.15691917,0.16571996,0.17283012,0.17817277,0.18072297,0.17873313,0.17141967,0.1601507,0.14828588,0.140015,0.13818772,0.14292711,0.15098308,0.15808363,0.16188157,0.16404206,0.16754003,0.17329495,0.17843883,0.17946184,0.17504013,0.16663356,0.15638201,0.14585459,0.1364249,0.1297655,0.1275896,0.13086098,0.1395833,0.15302755,0.16972035,0.18711458,0.20140488,0.2081335,0.20468272,0.19205064,0.17610975,0.16464369,0.16426842,0.17682864,0.19971047,0.22780514,0.25538185,0.2762822,0.283887,0.27463737,0.25195464,0.22698152,0.21172003,0.21244861,0.2263732,0.2472812,0.26937738,0.29082897,0.31091404,0.3297358,0.34591317,0.3564401,0.3561087,0.34051463,0.30983266,0.27053383,0.23296876,0.20669705,0.19691412,0.20343511,0.22143064,0.2433396,0.26078674,0.26755,0.26201138,0.24771078,0.23050773,0.21512093,0.20396812,0.19887422,0.20067632,0.20806046,0.21602607,0.22017671,0.21900755,0.21536958,0.2119376,0.21055387,0.21027024,0.20939554,0.20523095,0.19767578,0.19007313,0.18792473,0.19450706,0.20858859,0.22621371,0.24239498,0.252786,0.2541323,0.24715032,0.23598325,0.22682725,0.22352391,0.22768785,0.23745568,0.2499447,0.2612516,0.27008867,0.27682555,0.28261426,0.28645232,0.2862794,0.28170583,0.27583912,0.27365205,0.2782222,0.28803897,0.29850212,0.30445623,0.3036975,0.29646888,0.28502098,0.27177653,0.260121,0.25430477,0.2578144,0.26986584,0.2846632,0.29567382,0.300573,0.3012621,0.2997173,0.2959117,0.29009858,0.28361478,0.2770361,0.2678745,0.25449243,0.23886603,0.2259128,0.21767968,0.21193443,0.20531803,0.19669165,0.18743904,0.17832993,0.16960318,0.16093384,0.15308775,0.14675546,0.14264734,0.14145033,0.14394993,0.150289,0.15892337,0.16736276,0.17374231,0.17752868,0.17905773,0.17828532,0.17541556,0.17112835,0.16668223,0.16288143,0.15925811,0.15495712,0.14949983,0.1446781,0.1427027,0.14505859,0.14958762,0.15321149,0.15352862,0.15197982,0.15123089,0.15353733,0.15903944,0.16710855,0.17790616,0.19041155,0.2016365,0.20626287,0.20351921,0.19938636,0.20354466,0.21869974,0.23669921,0.2446851,0.23652752,0.21755534,0.19941276,0.19074614,0.19168372,0.19509892,0.19299768,0.1820616,0.165223,0.14810883,0.13560615,0.12981184,0.13043554,0.13510157,0.1400122,0.14133047,0.13674586,0.12700252,0.116164625,0.11045199,0.11520588,0.13113697,0.15315975,0.1731805,0.18508704,0.18822367,0.1859773,0.18335207,0.1836819,0.18891819,0.19814134,0.20760132,0.21113886,0.20380221,0.18568206,0.16099565,0.1358019,0.1137696,0.09766367,0.08851117,0.086805016,0.09074683,0.09853167,0.10835933,0.11839387,0.12466482,0.123135,0.11258671,0.096476585,0.07965831,0.06521983,0.05339943,0.043649767,0.035846878,0.030162213,0.026402323,0.023876352,0.021989211,0.020287795,0.018740928,0.017394274,0.016471304,0.015940623,0.015556739,0.014949985,0.013926227,0.012615996,0.011218091,0.009951594,0.008893319,0.008169915,0.007904978,0.008382226,0.0100563355,0.013664859,0.020051869,0.030158175,0.044674676,0.06368124,0.08572438,0.10822579,0.129082,0.14883254,0.16958128,0.19184048,0.21282811,0.22919865,0.24055271,0.24898775,0.25701454,0.26634893,0.2791969,0.29507437,0.3093625,0.31328472,0.30296007,0.2812568,0.25789165,0.23968488,0.22942491,0.22357132,0.21817034,0.20987816,0.19986613,0.19116314,0.18694599,0.1870016,0.18933247,0.19183089,0.19310427,0.19131464,0.18441619,0.17271852,0.15904021,0.14707138,0.13838337,0.13429831,0.13614981,0.14537005,0.15929963,0.173109,0.1822446,0.18702765,0.18967031,0.19214864,0.19401546,0.19590782,0.19962375,0.20744908,0.21874122,0.23113841,0.2413267,0.24669953,0.24496202,0.2360671,0.22329922,0.2118908,0.2053002,0.20324443,0.2043404,0.20884973,0.21889883,0.23514175,0.25536633,0.2759521,0.2946976,0.310932,0.32278275,0.32619977,0.31770015,0.29960498,0.27996802,0.26747063,0.26460886,0.2670039,0.2674327,0.2608585,0.24656004,0.22799821,0.2119682,0.2058054,0.21357407,0.23270404,0.2554871,0.27415192,0.2848442,0.28821167,0.28553534,0.2784089,0.26754212,0.25569573,0.24539614,0.23979925,0.2392328,0.24161328,0.24192174,0.23692779,0.22803612,0.22091103,0.21990584,0.22414981,0.22903676,0.23118924,0.230702,0.22882515,0.22467844,0.2159649,0.20184107,0.18454064,0.16726975,0.15188281,0.13923897,0.1308613,0.13052869,0.14180505,0.1660973,0.19990541,0.23754092,0.2724854,0.30060932,0.31779456,0.32111976,0.30844986,0.28248927,0.2500478,0.22010213,0.19898574,0.18761624,0.18257047,0.17862326,0.17239262,0.1632065,0.15252084,0.14264248,0.13546814,0.1331188,0.13648681,0.14448956,0.15296896,0.15767795,0.15748413,0.15518063,0.15498762,0.15885477,0.16654108,0.17611675,0.186639,0.19729231,0.20842546,0.21968587,0.2305882,0.23863661,0.24031143,0.23170483,0.21177244,0.18311816,0.15136848,0.12158584,0.096952446,0.07818096,0.065136485,0.05654484,0.050774485,0.046028197,0.041819762,0.039117027,0.039982196,0.045935307,0.05683434,0.07068669,0.085316084,0.09995487,0.11566546,0.13399245,0.15519728,0.17762472,0.19814098,0.21366377,0.22258566,0.22530967,0.22428857,0.22265917,0.22338356,0.22729413,0.2326249,0.23597096,0.23469247,0.22937079,0.22264703,0.21797192,0.21677226,0.21984674,0.22681941,0.2372622,0.24855316,0.25782204,0.26346698,0.26718888,0.27076098,0.27330682,0.27184662,0.26567608,0.25767976,0.25141606,0.24780221,0.2461903,0.24595584,0.24643677,0.24514048,0.23948018,0.22996056,0.22079581,0.21702056,0.21927528,0.22418956,0.22558163,0.22038807,0.20866968,0.194937,0.18434542,0.1821025,0.19080599,0.21035092,0.23708718,0.26452675,0.28499678,0.293306,0.29038993,0.28344294,0.2808199,0.28581813,0.29488444,0.3027837,0.30773887,0.31192824,0.315823,0.3163482,0.3099275,0.29931033,0.29197228,0.29400164,0.30267084,0.31014836,0.30991796,0.30187246,0.28837883,0.2713721,0.25357848,0.24164896,0.24363987,0.2609621,0.28514323,0.30356312,0.30933413,0.30463433,0.29461107,0.28174075,0.26535562,0.24769486,0.23524092,0.234832,0.2474304,0.264748,0.27449608,0.26616865,0.24024235,0.20541805,0.17441823,0.15384738,0.14437796,0.14295651,0.14698918,0.15417708,0.16163565,0.1677069,0.17230122,0.1765334,0.1794705,0.17929886,0.17475003,0.16720946,0.15865041,0.15141948,0.14767434,0.15093434,0.1634971,0.18494487,0.20982735,0.23079662,0.24163322,0.24127857,0.23261994,0.21978754,0.20514166,0.18989886,0.17618233,0.16726173,0.1656927,0.17114545,0.18049105,0.18971027,0.19524269,0.19553615,0.19065623,0.18275557,0.17395274,0.1655413,0.15709458,0.14789967,0.13828509,0.13004108,0.1259088,0.1280964,0.13652892,0.14814615,0.15789396,0.1627536,0.16399072,0.16668935,0.17551553,0.19121788,0.21054108,0.22827269,0.24045968,0.24536704,0.24314259,0.23432584,0.21917623,0.19918418,0.17813377,0.16146636,0.15280847,0.15161406,0.15399627,0.1561336,0.15687548,0.15773813,0.16036457,0.16463406,0.16793548,0.1674961,0.16214211,0.15372919,0.14548373,0.1413443,0.1444508,0.15675223,0.17605127,0.19552147,0.20569372,0.20107609,0.1836745,0.16195644,0.14435841,0.13516396,0.13394918,0.13832252,0.14597829,0.15486574,0.16408457,0.17261083,0.1801133,0.18393038,0.18179636,0.17143293,0.1553802,0.1380231,0.12495596,0.11749541,0.11409125,0.11158249,0.109178685,0.107690156,0.10835465,0.11072681,0.1140401,0.11686173,0.11815255,0.115591906,0.108083725,0.095778614,0.08166528,0.06888277,0.05966201,0.0539187,0.050114498,0.046414968,0.041705113,0.036122326,0.030493245,0.025771677,0.022308394,0.019872254,0.017902195,0.016119251,0.014785734,0.014506905,0.015541095,0.017434375,0.019300973,0.020566879,0.021382904,0.022824923,0.027086196,0.037326146,0.05620691,0.08326415,0.11400294,0.14201742,0.16322547,0.17765014,0.18799645,0.19649291,0.20335525,0.20721631,0.20712936,0.20400034,0.20077012,0.19973518,0.2005031,0.19960946,0.1941386,0.18414998,0.17337452,0.16568105,0.16338189,0.16633962,0.17463094,0.18837027,0.20707567,0.22794555,0.24731445,0.26272467,0.27335787,0.2786162,0.2778443,0.27154782,0.26224446,0.25194597,0.24032576,0.22521834,0.20612533,0.1860194,0.170512,0.1647145,0.17096996,0.18624437,0.20324557,0.21333157,0.21404971,0.21169388,0.21718018,0.23630376,0.2643348,0.29068437,0.30592573,0.30730578,0.29705977,0.28238004,0.27073917,0.2664833,0.2657379,0.26184216,0.252385,0.24270014,0.23948412,0.24298243,0.24797471,0.2501597,0.25167295,0.25718942,0.26672724,0.27463213,0.27530745,0.27067268,0.2664945,0.26557603,0.26295102,0.25280163,0.23610358,0.22332077,0.22649078,0.24921095,0.28220758,0.3102866,0.32460034,0.32837462,0.3305107,0.33383834,0.33261597,0.32092205,0.30350682,0.29404595,0.3036698,0.3289977,0.35563555,0.37095532,0.37502566,0.37561107,0.37626436,0.37184623,0.35575548,0.32897723,0.29727516,0.26450232,0.22925866,0.19141649,0.15585876,0.13077874,0.12084458,0.1251883,0.13862146,0.15622167,0.1741662,0.19109417,0.20623226,0.21967798,0.23103209,0.24027215,0.24807131,0.2559025,0.26436794,0.2713767,0.27315614,0.2673798,0.25664583,0.24770063,0.2485256,0.26281795,0.2871754,0.31062153,0.32021093,0.30806354,0.27612898,0.23418045,0.19344996,0.16112901,0.13921256,0.12722895,0.12501554,0.1333622,0.15145428,0.17559381,0.19893788,0.21615964,0.22482957,0.22708492,0.22562577,0.2237602,0.2240724,0.22946912,0.24112861,0.25792837,0.2765759,0.2925454,0.30052626,0.29685414,0.28276908,0.2663095,0.25686634,0.2590284,0.26889178,0.27821866,0.2794907,0.2698225,0.25160953,0.23092254,0.21399914,0.20343179,0.19731152,0.19217856,0.18597884,0.17909427,0.17240113,0.1675539,0.16666616,0.1729591,0.18711637,0.20692147,0.22686094,0.2424836,0.25069484,0.251112,0.24483313,0.2360457,0.23029399,0.23195516,0.24048655,0.25148457,0.2600335,0.26359332,0.26147977,0.2530512,0.23905702,0.222389,0.20917617,0.20373766,0.20755066,0.21703583,0.22835948,0.23722559,0.2418767,0.24092478,0.23640181,0.2313558,0.22963631,0.23035395,0.22952805,0.22214077,0.20853567,0.19331264,0.18288475,0.17980261,0.18274921,0.18709493,0.18884742,0.18619712,0.18122585,0.177758,0.17899896,0.1845931,0.19115444,0.19443619,0.19284706,0.18834366,0.18483524,0.18527435,0.18981916,0.19582446,0.19846183,0.1934715,0.18016069,0.16327743,0.1493519,0.14159878,0.13728924,0.13146506,0.12216372,0.11237935,0.1074419,0.11006301,0.11898657,0.12954187,0.13801102,0.14185765,0.14113839,0.13606896,0.12883641,0.1216545,0.116553076,0.112674884,0.107608855,0.09954125,0.08894121,0.07816101,0.068977796,0.062200826,0.05738102,0.054142192,0.05183114,0.049749654,0.04713638,0.043826208,0.04029092,0.03697132,0.033791978,0.030455766,0.02712209,0.024499662,0.023146413,0.023362404,0.025549738,0.031065201,0.04199866,0.0601317,0.0848965,0.11261686,0.13773291,0.15658396,0.16947222,0.18063875,0.19519089,0.2167566,0.24515688,0.27549505,0.29961643,0.30955243,0.30197772,0.27994183,0.25324896,0.23565637,0.23837407,0.2617174,0.291563,0.30714324,0.2950989,0.2581067,0.2126512,0.17685533,0.16243349,0.16825826,0.18486644,0.19874795,0.20314729,0.19934158,0.19337495,0.18837352,0.18375842,0.18107961,0.18466903,0.19848959,0.2177807,0.23304568,0.2356899,0.22665608,0.2130543,0.20396163,0.20395595,0.21283583,0.22593337,0.23727578,0.24319369,0.24432723,0.2446204,0.2465318,0.25059202,0.25619236,0.26534894,0.27946118,0.29746282,0.31356773,0.3218923,0.31914937,0.3062108,0.2872561,0.26957488,0.2628342,0.27343082,0.29842922,0.32497108,0.34056535,0.3433384,0.34255657,0.34726253,0.35836974,0.37011254,0.3791475,0.38669896,0.3952014,0.40274894,0.40404,0.39355388,0.36980566,0.33657587,0.30281988,0.27771,0.26532423,0.26141024,0.25901768,0.25526524,0.2546507,0.26213965,0.2775883,0.29328337,0.3012321,0.29661816,0.28169528,0.26227522,0.24669929,0.24081104,0.24565916,0.25690937,0.26776794,0.27346262,0.2717375,0.263627,0.2508712,0.23617095,0.22048424,0.20479076,0.19003248,0.17930013,0.17416108,0.17391725,0.17455836,0.17328627,0.16909218,0.16308749,0.15617877,0.14993118,0.14693598,0.15014146,0.1606381,0.17623562,0.19272445,0.20558846,0.21162055,0.20953731,0.20050804,0.18864459,0.17933057,0.17702138,0.1818664,0.19013424,0.19606943,0.19608122,0.18955322,0.17858012,0.16541646,0.15266563,0.14229369,0.1365336,0.13558991,0.13918807,0.1458075,0.15594512,0.16957752,0.18639915,0.20247044,0.21377975,0.2183456,0.21918726,0.22146045,0.22789091,0.23701958,0.2435946,0.24367261,0.23550905,0.2212091,0.20306695,0.18289877,0.16113098,0.13901629,0.118980706,0.10341344,0.092987634,0.08621534,0.08071538,0.07429824,0.06603001,0.056531433,0.047591846,0.040870007,0.037061457,0.03620987,0.03871155,0.045541853,0.057399273,0.07376385,0.093036644,0.113437,0.1337763,0.15272719,0.16899563,0.18107153,0.1889214,0.1923476,0.19153772,0.1861431,0.17840947,0.17240524,0.17311013,0.1829129,0.2009001,0.22350846,0.2455864,0.26205066,0.26855132,0.26381287,0.24982871,0.23225005,0.21730645,0.20919168,0.20702308,0.20671391,0.20412345,0.1991471,0.19428135,0.19209576,0.19246423,0.19419068,0.1971064,0.2027064,0.2123087,0.22524863,0.23881233,0.2500259,0.25661078,0.25900206,0.25966668,0.2625666,0.26830044,0.2737259,0.27384982,0.26783442,0.25861305,0.24960871,0.24055624,0.22971235,0.21707626,0.20555711,0.19789666,0.19388092,0.19144619,0.18946685,0.18991284,0.19470452,0.20329523,0.21167076,0.21699981,0.21950205,0.2220571,0.22507918,0.22563975,0.21987723,0.20835418,0.19589967,0.18742989,0.1830058,0.17897666,0.1713738,0.15968597,0.145778,0.1337957,0.12731038,0.12851559,0.1352327,0.1430182,0.14809561,0.1514818,0.15756966,0.16972083,0.1857955,0.19918863,0.20452785,0.20227736,0.1971224,0.1921367,0.1863511,0.1786576,0.1716718,0.16966599,0.17285441,0.17714435,0.1800983,0.18533523,0.19825001,0.2178361,0.23482059,0.23891287,0.22717975,0.20474283,0.17942625,0.15660685,0.13919494,0.12809391,0.12285148,0.12111592,0.120917074,0.12218454,0.12689641,0.13661344,0.15007041,0.16357881,0.17375554,0.18045926,0.18559356,0.1901241,0.19327573,0.19549656,0.20004755,0.20911448,0.21956818,0.22412902,0.21879269,0.20666105,0.19456394,0.18593724,0.17836732,0.16765632,0.15233767,0.13487118,0.11848182,0.10484167,0.09415903,0.08660857,0.083211266,0.0840519,0.08775819,0.09143176,0.09287255,0.09100816,0.086013295,0.078653015,0.070086576,0.06128043,0.052471247,0.043435365,0.03442325,0.026479691,0.020688916,0.01727693,0.015539558,0.014593154,0.01386819,0.01318613,0.0125823915,0.012154433,0.012132988,0.012500666,0.013031765,0.013195497,0.01272741,0.0116993515,0.010444657,0.009224061,0.00820016,0.0078998925,0.009512536,0.014781733,0.02489307,0.039508436,0.056712005,0.07490929,0.094457895,0.117356755,0.14376526,0.1701709,0.19131476,0.2055553,0.21608819,0.22721422,0.23927502,0.24920158,0.25491992,0.2580478,0.26267707,0.27130607,0.28387028,0.29703405,0.30851725,0.31744376,0.32556283,0.33169076,0.33215848,0.3239065,0.30999044,0.29803002,0.29166245,0.28722632,0.27600062,0.254315,0.22522789,0.19719203,0.1767389,0.16719995,0.16808827,0.17784142,0.19379286,0.21284182,0.23173064,0.24826182,0.2625663,0.27665517,0.29362115,0.31518486,0.34011278,0.36440143,0.38281178,0.39315882,0.3957101,0.3935398,0.38704243,0.37584987,0.358224,0.3363388,0.3145723,0.299333,0.29459277,0.30073777,0.31446612,0.3321431,0.35361817,0.38177034,0.41872898,0.45999765,0.49591485,0.5152726,0.5127623,0.48944607,0.45389375,0.417805,0.39433375,0.39275014,0.41650152,0.46021572,0.5114837,0.55339026,0.57229906,0.5624831,0.5290955,0.48338082,0.4377631,0.4009365,0.3762882,0.36274365,0.35634494,0.3537092,0.35283777,0.3535657,0.35545456,0.35802862,0.35978726,0.35914457,0.35312307,0.3406442,0.3225203,0.30359474,0.28855693,0.2815542,0.28350043,0.29233766,0.30253753,0.30644843,0.29894075,0.28002527,0.25706187,0.2382425,0.22826701,0.22388126,0.2203785,0.21486914,0.20901538,0.20370002,0.19866438,0.19328482,0.18962598,0.19179343,0.20288646,0.22263627,0.24642418,0.26864043,0.28624448,0.3005648,0.31443894,0.32880428,0.34203494,0.35214958,0.35855547,0.3618721,0.3636241,0.36468914,0.36598727,0.36650705,0.36542413,0.35995603,0.3479118,0.32857737,0.30692235,0.29168105,0.28881362,0.29523543,0.2993451,0.2898213,0.2629084,0.22464025,0.18488379,0.15184404,0.127616,0.1104125,0.09647196,0.08402136,0.07248867,0.06264936,0.054550573,0.048087705,0.042764198,0.0383743,0.035040792,0.03390226,0.03791452,0.051998746,0.08106643,0.12714648,0.18624459,0.25022092,0.30938497,0.35833028,0.39493635,0.42122495,0.43961963,0.4559473,0.47681776,0.5077819,0.54534435,0.5769906,0.58806825,0.5722585,0.53385615,0.4805332,0.41945803,0.35942683,0.31490424,0.2992467,0.3153355,0.3512409,0.3882263,0.41027632,0.41263762,0.40131685,0.38942155,0.3858843,0.39131638,0.3968227,0.39486423,0.3835185,0.37033436,0.36450937,0.3712549,0.38614717,0.39934275,0.40483108,0.406746,0.4157424,0.43744612,0.46716002,0.49463025,0.5126688,0.51870865,0.5103716,0.48462757,0.44282117,0.39494467,0.35569116,0.33419916,0.33006033,0.33435687,0.3392756,0.33951497,0.33625352,0.33250436,0.33328888,0.33973083,0.34897867,0.35532272,0.3556062,0.35145962,0.34703514,0.34477648,0.34335876,0.33988848,0.33293065,0.323828,0.31508866,0.30922982,0.30817392,0.31446883,0.32940063,0.35156596,0.37450448,0.39088216,0.3964688,0.39407802,0.3893955,0.38591835,0.3813082,0.3711814,0.35322094,0.32957545,0.30293575,0.27600753,0.25097647,0.23278831,0.22597183,0.23183717,0.24585016,0.26044714,0.26974738,0.27196798,0.26893926,0.26302984,0.25579485,0.24816446,0.24115272,0.23537292,0.23006399,0.22291736,0.21176732,0.19553924,0.17538734,0.15335089,0.132259,0.11388596,0.099169016,0.08748672,0.077856414,0.06936364,0.061840158,0.055606246,0.05076908,0.04691367,0.04319353,0.03929541,0.035947155,0.035005122,0.038824648,0.049480304,0.067625254,0.09154171,0.1171028,0.13964717,0.15661216,0.1689945,0.18050094,0.19466758,0.21296488,0.23404558,0.25576982,0.27616397,0.29365718,0.3056282,0.3087804,0.30148563,0.28617832,0.2695093,0.25974336,0.26294157,0.27932572,0.30194616,0.319455,0.32292792,0.31071606,0.2891771,0.26636142,0.24741657,0.23150866,0.21572761,0.19820547,0.18097651,0.16811301,0.16311914,0.16688372,0.17686975,0.18876453,0.19836497,0.20528638,0.21270315,0.22481818,0.24151199,0.25828055,0.26894733,0.2713027,0.26748443,0.2633762,0.2642214,0.27242264,0.2854204,0.29768828,0.3041477,0.3029915,0.29595348,0.28680125,0.27934596,0.27610874,0.27707532,0.27983332,0.2802292,0.27404943,0.25983736,0.23985773,0.21973144,0.20414494,0.19496155,0.19055311,0.18879007,0.1887974,0.19154169,0.19826446,0.2089488,0.22163445,0.23323168,0.24095917,0.24421106,0.24508262,0.247171,0.25334457,0.26404735,0.27806887,0.2924573,0.30378398,0.30825782,0.30509552,0.2963984,0.28560993,0.27384177,0.26093003,0.24910082,0.2439099,0.25034913,0.26723027,0.2873359,0.30220366,0.3069452,0.30212227,0.29080343,0.2768437,0.26192865,0.24744976,0.23500891,0.2272625,0.22451258,0.22307287,0.21698274,0.20371948,0.18629794,0.17164427,0.16464108,0.16629249,0.17344554,0.18264441,0.19172134,0.20034842,0.20702805,0.2083327,0.20038827,0.18421006,0.16602026,0.15445568,0.1533274,0.16013892,0.16807358,0.1721288,0.17203183,0.17083067,0.17068766,0.17010176,0.16606574,0.15721926,0.14557952,0.13490056,0.12903796,0.13085742,0.1414159,0.15881605,0.17882492,0.19707458,0.21181083,0.2233435,0.23220813,0.23792602,0.24019031,0.24039,0.24057625,0.24179316,0.24274045,0.24136262,0.23689502,0.23060918,0.22438769,0.21805982,0.20975459,0.19786547,0.1836762,0.16972339,0.15751459,0.14612041,0.1341209,0.12118828,0.108536296,0.09817394,0.09210003,0.09134304,0.09526023,0.10228362,0.11205391,0.1263178,0.14736676,0.17507495,0.20651488,0.23802404,0.26686656,0.29086006,0.3076851,0.3170397,0.3219854,0.3263398,0.32996342,0.32831717,0.3186306,0.3042686,0.29248297,0.28790858,0.29002628,0.29649433,0.30594197,0.31685936,0.32552442,0.32711163,0.32104144,0.3118333,0.30724278,0.31171548,0.32482472,0.34060946,0.3520861,0.35489464,0.35091886,0.3456886,0.34514177,0.35163668,0.3665206,0.38727102,0.4095751,0.42492938,0.42949823,0.4227508,0.40764955,0.38546637,0.3607484,0.34312558,0.34140205,0.35268524,0.36133137,0.35332012,0.33048776,0.30956635,0.3059092,0.3201617,0.3401849,0.35371444,0.35687184,0.35163462,0.3399022,0.32230362,0.30233756,0.28619352,0.27772948,0.27342936,0.26601595,0.2516748,0.23402719,0.21959777,0.21214627,0.2100398,0.21037196,0.2117157,0.21561088,0.22287194,0.23252088,0.24091233,0.24466445,0.2423565,0.23796289,0.23996015,0.25748774,0.29028785,0.32632092,0.34673405,0.34159318,0.31536308,0.28463617,0.26500508,0.2644558,0.279384,0.2978483,0.30625087,0.2987772,0.28275868,0.2718707,0.27717674,0.29888228,0.3304423,0.3603139,0.37764466,0.3743324,0.35066786,0.31589067,0.28236926,0.25952566,0.24855654,0.24666552,0.24907069,0.2524298,0.25336698,0.24831806,0.23612231,0.21869777,0.2018763,0.19018514,0.18574373,0.186651,0.18939406,0.19014728,0.18672109,0.17930155,0.16998409,0.16148674,0.15591301,0.15363133,0.1528938,0.15027897,0.14307868,0.13104133,0.11698937,0.10455986,0.09627541,0.09192582,0.08938988,0.085969806,0.08064866,0.074999236,0.07288548,0.07840375,0.09361457,0.116981626,0.14300375,0.1646669,0.17652458,0.17850621,0.17485636,0.17210071,0.17468978,0.18399559,0.19716863,0.20911731,0.21510313,0.2147638,0.21211891,0.2126206,0.21774471,0.22424038,0.22587518,0.21915157,0.20511945,0.1901589,0.18094362,0.18183513,0.19240974,0.21023023,0.2309879,0.24896109,0.25690714,0.25048146,0.23185505,0.20950653,0.19258183,0.18571979,0.18723069,0.19181854,0.19364591,0.18908519,0.1771168,0.16021818,0.1440716,0.13552898,0.1379032,0.1470729,0.15440904,0.15358008,0.14708154,0.14259712,0.14617403,0.15607001,0.16656323,0.17281489,0.17406113,0.17080235,0.16337167,0.15276688,0.14193995,0.13461906,0.13200472,0.13250948,0.13316156,0.13254225,0.1308346,0.12961881,0.13051988,0.13445507,0.14056446,0.14654648,0.14997648,0.14944164,0.1444738,0.13505055,0.12215334,0.1080141,0.09546118,0.08591848,0.07887725,0.07262065,0.06580842,0.05825256,0.05074456,0.044435706,0.039693568,0.035938885,0.03198119,0.0273591,0.02252332,0.018407375,0.01537821,0.01315288,0.0112807015,0.009655609,0.008412526,0.0075266496,0.0067128674,0.00576505,0.004769999,0.0040412946,0.0037153766,0.0039533204,0.0053263693,0.009587684,0.019262776,0.03679425,0.06282128,0.09538079,0.13028675,0.1623327,0.18768144,0.2050163,0.21675567,0.22681655,0.23723097,0.24618356,0.25004518,0.24970812,0.2513501,0.26285324,0.28590357,0.31407428,0.3359498,0.34169272,0.32887158,0.30484912,0.283766,0.27913913,0.29560325,0.32617965,0.35544503,0.3682395,0.3571175,0.3257297,0.28396326,0.24200915,0.20507126,0.1753844,0.15371123,0.14197879,0.14128304,0.15145473,0.16987394,0.19299924,0.21754003,0.2412949,0.2638866,0.2854677,0.30744222,0.33006176,0.35450915,0.3813484,0.4130192,0.45039037,0.49389958,0.5401711,0.5841332,0.6172145,0.6326747,0.6284186,0.60948235,0.58404833,0.55736834,0.5308361,0.5029809,0.4757448,0.45527935,0.44776735,0.4515159,0.45392504,0.4441321,0.42380276,0.40941104,0.41634294,0.44758067,0.49391308,0.5429113,0.58727795,0.6228681,0.64712954,0.6546809,0.6435911,0.61828214,0.5914116,0.57334507,0.56565887,0.56115526,0.5536511,0.54349244,0.53834885,0.5464744,0.57315964,0.6152043,0.66433406,0.70884484,0.7397871,0.75027394,0.73446983,0.68832445,0.6132341,0.5236632,0.4416906,0.38772595,0.36437038,0.35955217,0.35472062,0.34056178,0.31745958,0.2928402,0.2730086,0.26139,0.25957862,0.26865447,0.2897742,0.31993735,0.35222086,0.37741876,0.39104405,0.39590618,0.39967307,0.40783927,0.41885468,0.4253681,0.42104146,0.40523136,0.38591602,0.3728694,0.3742832,0.38748646,0.40436673,0.4135327,0.41135597,0.39983103,0.38520858,0.37326083,0.3677335,0.37001836,0.37566552,0.3761376,0.36295497,0.3350474,0.30049655,0.26905116,0.24541296,0.22544144,0.20377612,0.17830098,0.15318622,0.13300647,0.119735174,0.11065066,0.10236782,0.0930272,0.083629794,0.075583406,0.06964765,0.065402545,0.06229545,0.059567485,0.05669923,0.05417994,0.05502714,0.06475853,0.08954084,0.1331408,0.19484715,0.26902223,0.34610787,0.41452003,0.46387625,0.4885143,0.48989484,0.47477648,0.45193312,0.42843917,0.4091878,0.39490947,0.38218355,0.36370978,0.33515573,0.29858375,0.26397505,0.2414741,0.23677854,0.24745663,0.26744688,0.2905544,0.31395003,0.33685467,0.35943902,0.38158497,0.40344402,0.42492768,0.4462882,0.46799925,0.4911213,0.5153915,0.5375131,0.5527752,0.5571649,0.5507029,0.53313285,0.5049753,0.4668977,0.42722616,0.39859572,0.39352787,0.41288075,0.4454656,0.47208285,0.47936952,0.46653494,0.44681332,0.43652776,0.444415,0.46735415,0.49368563,0.5132256,0.5191786,0.5114532,0.49349785,0.47255158,0.45466945,0.44031677,0.4272051,0.41397318,0.40447676,0.40011916,0.39772418,0.39013633,0.37408376,0.35290435,0.33591673,0.33400193,0.35207805,0.38305327,0.4095615,0.4160582,0.40133524,0.37754965,0.35956404,0.35243022,0.35247788,0.35318962,0.35160217,0.34650543,0.33581555,0.31720102,0.29163682,0.26456562,0.24251932,0.22865795,0.22229324,0.2207601,0.22235782,0.22658078,0.23363082,0.24314362,0.25387642,0.2648442,0.27606204,0.2884133,0.30054462,0.30834246,0.30652353,0.29368097,0.27264187,0.24845608,0.22409874,0.20090908,0.17933403,0.16015427,0.1433204,0.12812413,0.11402012,0.10117666,0.09049522,0.08253402,0.07764125,0.07527437,0.074623086,0.074488886,0.07418141,0.073334366,0.07223273,0.07218971,0.076051496,0.08776226,0.10973532,0.14137983,0.17796324,0.21404167,0.24456322,0.268619,0.28682888,0.30236232,0.316074,0.3285692,0.3381423,0.3448751,0.34979162,0.35540906,0.36298558,0.3702474,0.37344718,0.36909166,0.35941228,0.3492708,0.34469104,0.34663293,0.35169795,0.35408154,0.34946808,0.33788428,0.32072374,0.29970834,0.2738085,0.24369417,0.21311237,0.18958764,0.17921333,0.18251191,0.19429846,0.20772584,0.21884485,0.22755976,0.23510784,0.24234597,0.2488786,0.2548181,0.26006293,0.2648494,0.26914802,0.27318403,0.27746034,0.28187323,0.28725347,0.2938421,0.30334127,0.31511927,0.3295252,0.34457,0.36090454,0.37653267,0.39101157,0.3997811,0.40135822,0.39346385,0.37966886,0.36195478,0.3439021,0.3247844,0.30523303,0.2845463,0.26416516,0.24508007,0.23050748,0.22377877,0.22784011,0.24151687,0.261137,0.28204688,0.3023088,0.32083383,0.33586243,0.3438146,0.34239325,0.3326838,0.3183258,0.30254793,0.2868477,0.27181724,0.25893068,0.25120583,0.2527432,0.26728463,0.29508758,0.3320143,0.36880434,0.3951305,0.40335575,0.39358354,0.37367487,0.35358015,0.3387111,0.32616946,0.31030437,0.28780544,0.26177225,0.23775293,0.22055054,0.21143492,0.20968129,0.21327484,0.21953039,0.22517367,0.22773452,0.22694115,0.2246354,0.22305681,0.22249843,0.22040415,0.21313612,0.19928282,0.18161033,0.16536462,0.15434115,0.14914227,0.14750344,0.14713977,0.14574462,0.14200997,0.13474908,0.12461648,0.11341166,0.10378114,0.09744772,0.09499103,0.0964564,0.10181438,0.11093873,0.12257288,0.13448167,0.14485238,0.15422153,0.16578479,0.18203832,0.2013676,0.2179629,0.22729266,0.23120564,0.23636965,0.24714871,0.26005825,0.26710156,0.26330164,0.2513511,0.23818181,0.22925977,0.22430694,0.2191783,0.20837021,0.18976657,0.16462944,0.13763575,0.11351091,0.09614033,0.08718824,0.08587197,0.089275934,0.09431133,0.10013857,0.10863174,0.12217965,0.14207006,0.1677081,0.19792263,0.22987254,0.26007554,0.28456804,0.30154476,0.31095493,0.315595,0.3210626,0.33324787,0.35300532,0.37180996,0.37823844,0.36694932,0.34528747,0.32645634,0.3201361,0.32756588,0.34493294,0.37017044,0.4015082,0.4348066,0.4592692,0.46560255,0.45104602,0.4231619,0.39159736,0.3649516,0.34851003,0.3471605,0.3619831,0.3868231,0.4083161,0.4134227,0.3989584,0.3731347,0.34831738,0.33133164,0.32063448,0.31183648,0.3029777,0.29514608,0.28888094,0.28192213,0.2724509,0.26102138,0.25223717,0.2503107,0.2576566,0.27225235,0.28901073,0.30116725,0.3049452,0.30126122,0.2945836,0.28826734,0.2835723,0.28033805,0.27917543,0.28149173,0.2902948,0.30887604,0.33729327,0.36875603,0.39229527,0.40000805,0.3919066,0.372447,0.3460556,0.31505919,0.28322414,0.25576353,0.23910849,0.2368644,0.24760278,0.26301864,0.27279225,0.27185115,0.26398253,0.257031,0.25563574,0.25976264,0.26705563,0.27516326,0.2795956,0.27557322,0.26123434,0.24286157,0.23060863,0.23259209,0.24757218,0.2679142,0.28405264,0.29159266,0.29031304,0.28316364,0.27253747,0.2619187,0.25414607,0.2505801,0.24831273,0.24354456,0.23492408,0.22549623,0.21957557,0.21926951,0.22376615,0.22957218,0.23393865,0.23473246,0.23298697,0.22896183,0.22378682,0.21672322,0.20886435,0.20006727,0.19069225,0.17983703,0.16845058,0.15802146,0.1500978,0.14390217,0.13769291,0.13018802,0.12266886,0.117444545,0.116312504,0.11815682,0.120394886,0.11999165,0.1157834,0.10776257,0.09754179,0.087035455,0.07816028,0.071461536,0.0664346,0.06259225,0.06014921,0.05978244,0.061305482,0.064104535,0.0679253,0.073890746,0.08332354,0.09609758,0.11007053,0.122686066,0.13306029,0.1415849,0.14792116,0.14969487,0.14484772,0.13429965,0.12244737,0.11409817,0.111877345,0.11549875,0.122655,0.13024472,0.13566683,0.1383877,0.13954526,0.14019884,0.1397919,0.13754936,0.13453306,0.133442,0.13583623,0.13993359,0.1421537,0.14022428,0.13548858,0.13095601,0.1285743,0.1274922,0.12612604,0.123934515,0.12169353,0.11934417,0.115934364,0.110463925,0.10370036,0.09734886,0.09333984,0.093004756,0.096704535,0.10354313,0.11120061,0.11723358,0.1205503,0.12184334,0.123316266,0.12593643,0.12862341,0.12775323,0.12093168,0.109348804,0.09801981,0.09234563,0.09418678,0.10112026,0.10802885,0.110835634,0.108567536,0.103845276,0.100770734,0.10198,0.106883466,0.11239394,0.1154371,0.11508709,0.11272053,0.111218095,0.11243761,0.11569554,0.11702111,0.11273559,0.102518916,0.09064292,0.08197611,0.07855698,0.07830682,0.07775576,0.07462955,0.06929135,0.06385061,0.060405076,0.059451703,0.05938096,0.057858244,0.05338588,0.04668532,0.039720204,0.034292657,0.030727103,0.028326547,0.026498774,0.025074253,0.024046173,0.022859154,0.020967236,0.018285604,0.015569269,0.013773358,0.0134005435,0.014171948,0.01524878,0.015788859,0.015339649,0.014036183,0.012377457,0.010894145,0.009855464,0.009266406,0.00902874,0.008984632,0.008917402,0.008613723,0.008051064,0.0074542253,0.0070246975,0.0068277144,0.006713658,0.0066344426,0.006577342]