[4.343449E-05,3.706953E-05,2.4971952E-05,1.3643279E-05,6.6989573E-06,4.0707937E-06,3.399815E-06,3.1254774E-06,2.753377E-06,2.526889E-06,2.5787058E-06,2.8267305E-06,3.114358E-06,3.3510967E-06,3.5486403E-06,3.9439087E-06,5.675424E-06,1.2246154E-05,3.082163E-05,7.1772345E-05,0.0001445549,0.0002511836,0.00038162127,0.0005160855,0.000635229,0.0007311534,0.00081209856,0.0008945509,0.0009888,0.0010857285,0.0011578305,0.0011744713,0.0011234559,0.001023122,0.00091812544,0.00086055766,0.0008841757,0.0009868236,0.001134042,0.0012864317,0.0014216517,0.0015378464,0.0016394439,0.0017399895,0.001867111,0.0020595128,0.0023380981,0.002692163,0.0030881225,0.0034993535,0.003916802,0.004342839,0.0047727493,0.00519311,0.0055905245,0.005967079,0.00634134,0.006748944,0.007490713,0.009678029,0.01553191,0.027435174,0.045571644,0.0666114,0.08483034,0.0959904,0.099359475,0.0974974,0.09331077,0.08896687,0.085513115,0.083883315,0.08429625,0.086219065,0.08814206,0.08906886,0.088932574,0.08865007,0.088706166,0.08883724,0.0883722,0.08717219,0.08596415,0.08544394,0.08576927,0.0859955,0.085462034,0.08406349,0.08274719,0.082113005,0.08231828,0.08287404,0.083642535,0.08447134,0.08541885,0.08611438,0.08681514,0.08792428,0.0902449,0.09365692,0.097578175,0.10112547,0.10405745,0.10657514,0.109087266,0.11153603,0.11337379,0.11343607,0.111066364,0.10633715,0.10086616,0.09619435,0.09360323,0.09282415,0.0933776,0.094373584,0.09552777,0.09642156,0.09701413,0.09719186,0.09726449,0.09756276,0.09866288,0.101126194,0.10529113,0.110845976,0.1164996,0.12071517,0.12244287,0.12186983,0.11998979,0.11856389,0.1205338,0.13056897,0.15306674,0.18787454,0.227301,0.2590129,0.27367893,0.27070242,0.25707337,0.24148858,0.22910728,0.22108305,0.21614899,0.21321185,0.21131586,0.20970555,0.2071806,0.2033009,0.19873405,0.19497907,0.19284557,0.19214652,0.19221751,0.19266242,0.19297479,0.19234289,0.1900267,0.18610768,0.1813854,0.17653014,0.17196132,0.1679561,0.16533326,0.16440201,0.1647473,0.1647975,0.1633196,0.16000348,0.15559503,0.15124683,0.14763613,0.14522274,0.14371778,0.14299296,0.14258868,0.14243372,0.14206898,0.1410581,0.1390096,0.13611208,0.13299538,0.13032447,0.12872295,0.12874861,0.13065535,0.13374688,0.13624527,0.13637622,0.13363546,0.12920672,0.12488828,0.12192294,0.12050509,0.12005363,0.11948628,0.117653556,0.11394918,0.10908342,0.10465017,0.102085955,0.10154713,0.10253635,0.104917295,0.10951367,0.1166481,0.12483627,0.13062407,0.13100825,0.12540571,0.11612466,0.106328934,0.09831453,0.0927521,0.08937182,0.08742225,0.08609111,0.084607966,0.08275358,0.08093721,0.079942256,0.08044532,0.08301584,0.088468075,0.097361684,0.108751364,0.119578816,0.12609328,0.12668686,0.12265334,0.11712975,0.11219582,0.10867065,0.1063265,0.1056171,0.10680288,0.10972167,0.11283935,0.114693426,0.11447758,0.11275066,0.11044092,0.10854735,0.107759684,0.10871059,0.11146585,0.11524097,0.118344806,0.11921642,0.11740255,0.11375728,0.10964182,0.10606924,0.10361517,0.10286438,0.10429397,0.1079594,0.11282912,0.117548525,0.12105679,0.12338825,0.1250822,0.12665598,0.12841354,0.13082881,0.13462283,0.14010775,0.14637981,0.15156029,0.15370594,0.15217811,0.1477827,0.1422929,0.13739176,0.13373111,0.13106988,0.12810674,0.12396791,0.118053794,0.11141623,0.10531583,0.101339795,0.09966254,0.099912025,0.101186566,0.10335633,0.10662309,0.11087669,0.11478142,0.11630517,0.11447669,0.110329576,0.10616235,0.10381959,0.10417638,0.108565025,0.1186046,0.13494776,0.15421169,0.17074442,0.17951606,0.1801313,0.17544483,0.16934581,0.16403414,0.1604385,0.15867625,0.15871142,0.1599467,0.1612529,0.16145802,0.1601234,0.15792334,0.15612082,0.1565779,0.16178106,0.17438763,0.194351,0.21689689,0.23401773,0.24028939,0.23675181,0.22930609,0.22314815,0.21943289,0.2165675,0.21310115,0.20940723,0.20665734,0.20585161,0.20668386,0.20799817,0.20834637,0.20709805,0.20492488,0.20325638,0.20372617,0.20667629,0.21115877,0.21421522,0.21249937,0.20306833,0.18599735,0.16449988,0.1446957,0.13225217,0.1301802,0.13690291,0.14764725,0.15650637,0.16009194,0.1586711,0.15611583,0.15643837,0.16220132,0.17252386,0.18456121,0.19358419,0.19582565,0.1893736,0.1761231,0.16033427,0.14729963,0.14079322,0.14139849,0.14603202,0.1497134,0.14983208,0.14820175,0.14885364,0.1529138,0.15651844,0.15424912,0.14366093,0.12719937,0.109771244,0.09573359,0.08679372,0.081957184,0.07893243,0.075876385,0.07252097,0.06963856,0.06802737,0.06772,0.06815496,0.06873586,0.06921833,0.0699686,0.071944915,0.077251054,0.088638365,0.10791103,0.13219446,0.15337777,0.16248368,0.15815525,0.149562,0.14982703,0.16486065,0.18887354,0.21040724,0.22173367,0.22274512,0.21789281,0.21142845,0.2054376,0.20040739,0.19630499,0.19323437,0.19163875,0.19215757,0.19485682,0.19874294,0.20185089,0.20220964,0.19858527,0.1913762,0.18252389,0.17491221,0.17029649,0.16842794,0.16736414,0.16578726,0.1635177,0.16136424,0.15943871,0.15837832,0.15935029,0.16422604,0.17226501,0.17992443,0.18242538,0.17781347,0.16804044,0.15714437,0.14864199,0.14385743,0.14281146,0.14482339,0.14930741,0.15529801,0.16157751,0.16719146,0.17174192,0.17512739,0.17684044,0.17631786,0.17431743,0.17287725,0.17441694,0.17883654,0.18426609,0.1880495,0.18953173,0.18925452,0.18853015,0.18890399,0.19283421,0.20300676,0.2197126,0.23921485,0.25476804,0.26105997,0.25703913,0.24588352,0.23191176,0.21853839,0.2076305,0.19986255,0.19487351,0.19162768,0.18907307,0.1864654,0.18329172,0.17936124,0.17520177,0.1719178,0.1702876,0.16999446,0.16993077,0.16897875,0.16665232,0.16324602,0.15980215,0.15750511,0.15694387,0.15781118,0.1596728,0.16223645,0.16505063,0.1665758,0.16533965,0.16116177,0.15605061,0.15225689,0.15093857,0.1516025,0.15330322,0.15525496,0.1567661,0.15731458,0.15640517,0.15434094,0.15168323,0.14943315,0.1478477,0.14661147,0.1447832,0.14203538,0.13898073,0.13682412,0.13620666,0.13675626,0.13763215,0.13835269,0.13886528,0.13935073,0.13985498,0.14064567,0.14133662,0.14114183,0.13853239,0.13333495,0.12639298,0.11977431,0.1146684,0.111588754,0.11005344,0.109488584,0.109280325,0.109104864,0.108867824,0.108510695,0.10798987,0.10727763,0.10653531,0.10585684,0.10532263,0.10501131,0.10525135,0.10621255,0.10762452,0.108710885,0.10887283,0.108032495,0.106498085,0.104546584,0.10233626,0.10011923,0.09813807,0.09663626,0.09581878,0.09644413,0.099738754,0.107037045,0.117713325,0.12880753,0.13595939,0.13833548,0.13946871,0.14587414,0.15963922,0.17721318,0.18970837,0.1900786,0.1758684,0.15204515,0.12791328,0.11355031,0.1149804,0.13166127,0.15728037,0.18264605,0.20060854,0.20890158,0.21040273,0.2094742,0.20810157,0.20480601,0.19697793,0.18470316,0.17146666,0.16221568,0.15875874,0.15870224,0.15653102,0.14884804,0.13638748,0.12496603,0.12131333,0.12979166,0.14866072,0.17124923,0.19019608,0.20217402,0.20837373,0.20989095,0.20520715,0.19257705,0.1756049,0.16293448,0.16157258,0.17032562,0.18129067,0.18689811,0.18480408,0.17626376,0.16273184,0.14597668,0.13077359,0.12448764,0.13093293,0.14522012,0.15598322,0.15570164,0.14728273,0.14163256,0.14648663,0.16076158,0.17632745,0.18686861,0.19137914,0.19274949,0.19243519,0.18937792,0.18197638,0.17099959,0.15917557,0.14921242,0.14213185,0.13760872,0.13483304,0.13307302,0.13179027,0.13104409,0.13195957,0.13635953,0.14464174,0.15456866,0.16242929,0.16734827,0.17173101,0.17814387,0.18393792,0.18387176,0.17570122,0.16488302,0.15939887,0.16317283,0.17279963,0.18205707,0.18695174,0.1877955,0.1870753,0.1870376,0.18827343,0.19000764,0.19086646,0.1898709,0.1872126,0.18394738,0.18162422,0.18103047,0.1822717,0.18448222,0.18699259,0.18940729,0.19192171,0.19434436,0.19606124,0.19627744,0.19502641,0.19311036,0.19134144,0.1892557,0.1854421,0.17893334,0.17155997,0.1671832,0.16940582,0.17755614,0.18776435,0.19527613,0.1986071,0.19818427,0.19540791,0.19057316,0.18454486,0.17842174,0.17401884,0.17267005,0.17537333,0.18118624,0.18637274,0.18543708,0.17551006,0.16011123,0.14724775,0.14325477,0.14717002,0.15277086,0.15433884,0.15199798,0.14990045,0.15193285,0.15789461,0.16471635,0.1692117,0.17037188,0.16901182,0.16650732,0.1638761,0.16161007,0.15991612,0.1586411,0.15751357,0.15619533,0.15462548,0.1528707,0.15126671,0.15020832,0.15015061,0.15089764,0.15167041,0.15143804,0.15040044,0.15026791,0.15319824,0.1599515,0.16904593,0.17860514,0.18776053,0.19738753,0.20775191,0.21771747,0.22477227,0.22745341,0.22591741,0.22177665,0.2166609,0.21200019,0.20879519,0.20752256,0.20784883,0.20877643,0.2094845,0.20968167,0.20996553,0.21095704,0.21288258,0.2148803,0.21567017,0.21463297,0.21220101,0.20960395,0.20750754,0.20662665,0.20725401,0.20913363,0.20959614,0.2054885,0.1962577,0.18716228,0.18558103,0.19525869,0.21186817,0.22688246,0.23343962,0.23031788,0.21955538,0.20377249,0.18524818,0.16769613,0.15574133,0.15277736,0.1583212,0.16849387,0.17837715,0.18475609,0.1870876,0.18651251,0.18458854,0.18260503,0.18227808,0.18524994,0.19188589,0.19996198,0.20594549,0.20743899,0.20448844,0.19893678,0.19283561,0.18781996,0.18454754,0.1825695,0.180737,0.17846362,0.17647128,0.17594838,0.17732835,0.179932,0.18291374,0.18583108,0.18867107,0.19147061,0.19435321,0.19732367,0.19978555,0.20097317,0.20082955,0.20120232,0.20412832,0.21034755,0.2178226,0.22370744,0.22525693,0.2213621,0.21242444,0.201452,0.19296215,0.19059652,0.19399874,0.19845434,0.1980663,0.1898398,0.1758263,0.16148834,0.15141696,0.1464905,0.14370294,0.14015956,0.1353763,0.13199566,0.1330971,0.14029151,0.15220596,0.16445613,0.17164274,0.17079805,0.1646732,0.16037472,0.16449116,0.17749126,0.19330473,0.2038244,0.20473075,0.19792856,0.18885815,0.18261045,0.1806816,0.18196529,0.18422224,0.18634649,0.18778484,0.1878735,0.18476172,0.17647777,0.16275795,0.14702664,0.13521291,0.13310528,0.1417514,0.1579551,0.1752892,0.18983662,0.19954932,0.20520373,0.20655054,0.20426571,0.19909441,0.19264765,0.1855353,0.17752753,0.16882803,0.1606264,0.15488452,0.15253097,0.15291041,0.1542217,0.15487313,0.1545966,0.15383814,0.15304399,0.15215863,0.15126066,0.15046553,0.14942329,0.14709784,0.1429559,0.13775204,0.1331489,0.1299818,0.12792285,0.12613757,0.1245279,0.12337622,0.12287602,0.122754015,0.12281113,0.12290394,0.12270302,0.121672034,0.11949032,0.11664576,0.11427645,0.11460381,0.12039114,0.13411649,0.15449323,0.17651649,0.1933911,0.20290597,0.20714404,0.21074134,0.21525645,0.22084689,0.22680216,0.23368464,0.24105592,0.24788928,0.25294477,0.2559791,0.25713694,0.25627485,0.25322744,0.24859601,0.24397658,0.24086206,0.23949255,0.23889129,0.23799533,0.23671067,0.23559308,0.23499562,0.23451562,0.2336393,0.23246773,0.23193485,0.23271735,0.23473458,0.23697834,0.23920238,0.24165642,0.24487655,0.24798436,0.24981688,0.25043622,0.2517729,0.25652155,0.26507512,0.27583686,0.28512833,0.29047298,0.29061213,0.28688356,0.281293,0.2754743,0.2693524,0.26183486,0.252741,0.24305435,0.2346491,0.22811355,0.22341467,0.21975052,0.21709359,0.21517088,0.2139433,0.21271296,0.21090937,0.20790434,0.20379047,0.19903105,0.19445913,0.19096434,0.18994017,0.19265968,0.198991,0.20670725,0.21267156,0.21615528,0.21893878,0.2241224,0.23151283,0.23839547,0.24086201,0.23873265,0.23449348,0.23196419,0.23183422,0.23299694,0.23327799,0.23284732,0.23254524,0.233728,0.23601572,0.23843451,0.23924184,0.23746966,0.2332093,0.22828805,0.22513928,0.22518814,0.22771536,0.23037457,0.23124634,0.22984731,0.22710298,0.22366756,0.21940374,0.21355508,0.20604832,0.19801961,0.19151999,0.18830566,0.18898012,0.19292332,0.19907314,0.2062533,0.21300183,0.21732026,0.21744834,0.21289943,0.20466048,0.19414712,0.18261217,0.1716168,0.16387175,0.16208155,0.16664429,0.17443405,0.18083765,0.18314193,0.18211776,0.18058215,0.18081105,0.18306474,0.18580218,0.18665431,0.18375552,0.17667247,0.16676988,0.15626925,0.14707543,0.1399207,0.1349007,0.13196205,0.13127474,0.1322123,0.13347892,0.13328357,0.13107525,0.12727737,0.12349799,0.12117959,0.12224996,0.12785564,0.13877685,0.15285863,0.16627027,0.17339785,0.17251088,0.16632226,0.1620404,0.1643129,0.1732822,0.18457676,0.19443105,0.20078854,0.20362683,0.2030461,0.19971865,0.19456528,0.18888205,0.18338138,0.17837743,0.17408119,0.17210005,0.17447269,0.18291207,0.19567885,0.20929563,0.21965933,0.22582547,0.22854759,0.22917162,0.2271903,0.22126812,0.21066236,0.19669826,0.18254475,0.1718369,0.16658138,0.16526449,0.16255365,0.15251672,0.13363473,0.11220061,0.099452354,0.103747346,0.124384426,0.15133846,0.17282124,0.18073921,0.17365368,0.15415576,0.12845717,0.10603996,0.09696282,0.10781625,0.13533424,0.16935563,0.19642842,0.21059375,0.21334451,0.2127461,0.21393858,0.21771061,0.22005874,0.21776797,0.21001446,0.1991167,0.18801701,0.17858212,0.17088406,0.16407739,0.15788992,0.15294604,0.15045393,0.15050404,0.15165168,0.15119095,0.14770241,0.14217477,0.13788854,0.13755703,0.14191872,0.14967005,0.15951233,0.17074919,0.18280216,0.194196,0.203085,0.20864147,0.21183573,0.2143352,0.21662134,0.21667303,0.21132301,0.1989641,0.18200459,0.16595553,0.15616722,0.1543609,0.15846162,0.16463007,0.17031886,0.1747187,0.1783479,0.18140042,0.18360691,0.1841075,0.18154246,0.17405285,0.15942875,0.13719948,0.11022404,0.085422456,0.070576794,0.06969475,0.08103495,0.09825603,0.115602136,0.12887047,0.13623232,0.13575657,0.12663023,0.10959619,0.08818436,0.06777865,0.053638805,0.04785196,0.048395008,0.05046858,0.050961107,0.049858112,0.049949363,0.054461986,0.06860279,0.10073751,0.15826334,0.23719673,0.31659386,0.3689829,0.37908116,0.3543333,0.31482902,0.27836558,0.25065053,0.23061265,0.21507347,0.20328844,0.19494195,0.1898491,0.18723625,0.1863784,0.1868323,0.18839645,0.19208641,0.20090365,0.21798275,0.24227445,0.2661811,0.2801757,0.28017667,0.27045092,0.25862253,0.24898602,0.23982508,0.22640073,0.20514812,0.17727397,0.14814349,0.12464544,0.1113308,0.10986543,0.12003823,0.14011519,0.16767716,0.20086126,0.2419142,0.29199222,0.3452523,0.38500646,0.39613053,0.3770328,0.34199655,0.30863783,0.28716207,0.28017238,0.28924853,0.31495526,0.3522228,0.38619173,0.40175882,0.39345703,0.37046733,0.34704694,0.33287624,0.32916287,0.33261988,0.33940414,0.34605685,0.34882843,0.34513938,0.33479384,0.32098368,0.30720884,0.29578412,0.2863003,0.2776674,0.26926014,0.26167324,0.25585184,0.25162113,0.24798018,0.24367918,0.23883806,0.23445849,0.23381348,0.24276976,0.2695539,0.31530884,0.3680408,0.40315518,0.40202907,0.3645947,0.30981442,0.25917056,0.22473054,0.20845,0.20788503,0.21975952,0.23839319,0.2566554,0.26931897,0.2767085,0.2821287,0.28738192,0.29025915,0.28896233,0.28580055,0.28559658,0.28966233,0.29172477,0.28371692,0.26182252,0.23165756,0.20199592,0.18038689,0.16846472,0.16598357,0.17176078,0.18486263,0.20215787,0.2222997,0.24847762,0.28701398,0.33554706,0.37861478,0.39592722,0.38189948,0.34947935,0.31918263,0.30085263,0.29201946,0.28527677,0.27679524,0.26589307,0.25284955,0.24106711,0.23926301,0.25914168,0.30229214,0.3538613,0.38793162,0.38883698,0.36207235,0.32841352,0.30496442,0.29514062,0.29305932,0.29236218,0.29025665,0.28528634,0.27666375,0.26580033,0.257158,0.25548336,0.26157853,0.27128068,0.27884385,0.28140166,0.28023493,0.27834257,0.27748328,0.27756798,0.27755317,0.27631018,0.27301452,0.26898625,0.26955077,0.28334567,0.31527916,0.3594408,0.39887014,0.41600022,0.4047216,0.37240478,0.33328,0.29845282,0.27352545,0.2590672,0.2531029,0.2516855,0.24957992,0.24279214,0.23084183,0.21815932,0.21080454,0.21279006,0.22382575,0.24162924,0.26251748,0.28170106,0.29192516,0.28842476,0.27183485,0.24934904,0.22811894,0.21151103,0.198626,0.18859546,0.18340689,0.18579896,0.19572139,0.20708255,0.21310149,0.21170284,0.20906647,0.21308023,0.22823147,0.2546534,0.29251984,0.3396534,0.38669863,0.41594496,0.4135387,0.38062942,0.33354822,0.29107264,0.2638912,0.2554363,0.26779175,0.30121574,0.34791708,0.3896344,0.40889743,0.40112206,0.37707338,0.35193977,0.33451673,0.3254625,0.32198575,0.32149693,0.3222892,0.32143858,0.31669176,0.30611467,0.29109347,0.27404025,0.2588666,0.24783929,0.24157803,0.23884563,0.23763192,0.236964,0.23653226,0.23836349,0.24398446,0.2541363,0.26627824,0.27924696,0.2955486,0.3214861,0.35769507,0.3949596,0.41717187,0.415705,0.39414993,0.36520556,0.33863306,0.3180299,0.3023002,0.29046094,0.2827138,0.2795026,0.28038594,0.28377175,0.28770772,0.29074952,0.29239652,0.293426,0.2953141,0.29877505,0.3007635,0.29495642,0.27608737,0.24718948,0.21930909,0.20417075,0.20394908,0.21079922,0.2145464,0.21246941,0.20933579,0.21096422,0.2183166,0.23088032,0.25294057,0.29041293,0.3411361,0.38775602,0.41098395,0.40346706,0.37621334,0.34442297,0.3172485,0.29467478,0.27502072,0.25882402,0.2480763,0.24395733,0.2465008,0.2586136,0.2847452,0.3246449,0.36644912,0.39065778,0.38505197,0.352626,0.30959868,0.27160254,0.24828517,0.2417323,0.25036108,0.26919326,0.29045185,0.30571425,0.31009093,0.30474213,0.2958869,0.28970706,0.28943083,0.29361424,0.29962304,0.30471942,0.30889717,0.3124639,0.31642702,0.3195247,0.32027236,0.31686577,0.31097364,0.30788955,0.3154759,0.33713076,0.3667263,0.39007115,0.39496186,0.38026723,0.35438108,0.327788,0.30564603,0.28976282,0.28019524,0.27730557,0.279936,0.28617704,0.29347822,0.29934648,0.30130625,0.2990074,0.29503405,0.29455617,0.30111408,0.31360862,0.32625723,0.33209834,0.32818994,0.31604004,0.30087033,0.28661123,0.27587786,0.26813444,0.26328072,0.2606623,0.2612846,0.26402804,0.26730505,0.26907098,0.27078226,0.27512112,0.28332427,0.29466966,0.3099203,0.33344007,0.36560366,0.39765295,0.41316983,0.40306917,0.37222633,0.33567986,0.30537197,0.28617856,0.2803428,0.29222465,0.32246223,0.3613048,0.388772,0.38989124,0.36375198,0.32395232,0.28504777,0.25599322,0.23922257,0.23531865,0.242338,0.2548991,0.2643269,0.26497304,0.25664023,0.24467553,0.23393781,0.22833301,0.23169012,0.2505164,0.28741756,0.33416426,0.37015358,0.3765452,0.35019746,0.30585948,0.26269805,0.23262669,0.22028096,0.2292818,0.2614069,0.30867356,0.35117343,0.36756817,0.35135698,0.31339416,0.27374393,0.24634916,0.2365308,0.24101137,0.25362912,0.26550522,0.26925543,0.26133233,0.24498974,0.22681372,0.21324192,0.20688315,0.2079048,0.21461464,0.22474875,0.23485483,0.24183856,0.24382257,0.24073775,0.23255749,0.21869014,0.19959025,0.17954858,0.16652393,0.16718619,0.18167226,0.20319967,0.22268873,0.23379369,0.23338623,0.2201876,0.19488858,0.16275585,0.13495354,0.123571,0.13425744,0.16132045,0.19193752,0.21507609,0.22754775,0.23282085,0.23494889,0.23548096,0.23426642,0.23202634,0.23058195,0.23061259,0.23033188,0.22633807,0.21761395,0.20792066,0.20373262,0.20867258,0.21952365,0.22970636,0.23451413,0.23466122,0.23287845,0.23092468,0.22846268,0.22515924,0.22147827,0.21786207,0.2142355,0.21094507,0.21073665,0.21685778,0.22978269,0.24320422,0.2477591,0.23690887,0.2130491,0.185418,0.16439225,0.15645266,0.16337715,0.18323205,0.21093024,0.23846006,0.25869024,0.26817068,0.26928174,0.2661892,0.26219907,0.2575775,0.25154284,0.24375527,0.23494656,0.2256981,0.215465,0.20303178,0.18806781,0.17153497,0.15483893,0.13847531,0.1228913,0.10922048,0.09925137,0.09309637,0.08891556,0.08460937,0.08011767,0.07689189,0.07534665,0.07404297,0.07089334,0.06542484,0.058677595,0.05209787,0.04637164,0.04155088,0.03765306,0.03484492,0.033219364,0.032458764,0.031927418,0.03101152,0.029424215,0.027271314,0.02491209,0.022748247,0.02103924,0.019820213,0.019003188,0.018771801,0.019889181,0.023663366,0.030785909,0.040325493,0.04934776,0.05474024,0.054904293,0.05075814,0.044471204,0.03824031,0.033413075,0.030743612,0.030366562,0.031798486,0.033837963,0.035284083,0.035513982,0.034845937,0.033913806,0.033254508,0.033145428,0.034042146,0.036366384,0.039990652,0.043688867,0.04584745,0.045524556,0.043110624,0.039722364,0.036492724,0.03425877,0.033896614,0.03580056,0.03951509,0.043166015,0.044997286,0.044169907,0.041662604,0.03885524,0.036839943,0.035770733,0.0354742,0.035708744,0.036227312,0.036673833,0.03674185,0.036492262,0.036371797,0.03677799,0.037658963,0.038537793,0.03906234,0.03924143,0.039298896,0.039176296,0.03861171,0.03740557,0.035775613,0.03410851,0.032748748,0.03188212,0.03178106,0.032783676,0.034977417,0.037818477,0.0402315,0.041257784,0.04060486,0.038722876,0.036580432,0.035701375,0.038318694,0.046499655,0.060397297,0.07702965,0.09162038,0.10062674,0.10358284,0.10247364,0.099502146,0.096214406,0.09357223,0.09255903,0.09369051,0.09649349,0.0994161,0.10069597,0.09944857,0.09607791,0.09180697,0.08775856,0.08442599,0.081706494,0.07922098,0.07668924,0.074068,0.071643986,0.06980099,0.06871054,0.06824628,0.06829744,0.06980721,0.07445785,0.08368754,0.096259475,0.108630754,0.11652701,0.1180423,0.114047565,0.1071768,0.10002831,0.09507374,0.09560255,0.10608176,0.12894817,0.16130994,0.1937057,0.21663477,0.22585286,0.22504933,0.22001576,0.21478932,0.20998837,0.20543595,0.20138256,0.1981486,0.1958515,0.19420086,0.19323999,0.19266014,0.19232903,0.1929297,0.19696999,0.20742758,0.2244196,0.24361241,0.25797924,0.26336086,0.26069245,0.25494084,0.25045514,0.2493232,0.2516158,0.25688472,0.26412475,0.27133986,0.27611244,0.27679357,0.2733959,0.26673123,0.25761846,0.24639942,0.23400386,0.22192775,0.21246462,0.20725693,0.2070161,0.21028082,0.21444558,0.21663927,0.21575421,0.2120996,0.20671122,0.19995426,0.19190435,0.1825716,0.17195757,0.15976755,0.14658302,0.13588738,0.13330142,0.14263932,0.16144426,0.18251342,0.19862717,0.20689364,0.20770317,0.20302303,0.19557242,0.1894927,0.18902664,0.19588204,0.20797706,0.2207102,0.23013192,0.23403595,0.23193975,0.22362907,0.20977245,0.19197321,0.17260365,0.15315562,0.1341152,0.11651059,0.10386649,0.101448596,0.11242608,0.134224,0.15888101,0.17820424,0.18863492,0.19221894,0.19287409,0.19292514,0.19250263,0.19107175,0.18885553,0.18647707,0.18482493,0.18484563,0.18710677,0.19064505,0.19301045,0.19291039,0.19304518,0.19824429,0.21042782,0.22417122,0.23099683,0.22637032,0.21470904,0.20523836,0.20384862,0.20837073,0.20991947,0.20140095,0.1828018,0.16310401,0.15250395,0.15667506,0.17302482,0.19560318,0.21790288,0.23552357,0.24532782,0.24723561,0.24401736,0.2398106,0.23677833,0.234598,0.2318402,0.22806768,0.22361393,0.21905965,0.2142831,0.20893914,0.20210521,0.19250928,0.17895778,0.1626801,0.1486271,0.1435588,0.15084556,0.167215,0.18489552,0.1973709,0.2024008,0.20112383,0.19484429,0.18484358,0.1728067,0.16186918,0.15474708,0.15278272,0.15525603,0.1604438,0.16563642,0.16707607,0.16130394,0.14820655,0.13321333,0.12452059,0.12720926,0.13930304,0.15438104,0.16805547,0.1816471,0.19861281,0.21893817,0.23668079,0.24589676,0.24516521,0.23954432,0.23465823,0.23377366,0.23618968,0.24031174,0.24446279,0.24730127,0.2473139,0.24366075,0.23699398,0.22897941,0.221162,0.21428466,0.20868891,0.20445961,0.2010143,0.19734204,0.19270395,0.18741007,0.18209738,0.17737955,0.17352116,0.17094593,0.16993834,0.17088437,0.17376725,0.17798144,0.18162219,0.18272527,0.18044241,0.17587692,0.17061621,0.16572452,0.1614548,0.15805785,0.15567291,0.15413968,0.1527862,0.1510638,0.14872883,0.14579563,0.14252673,0.1392784,0.13664337,0.13463157,0.13301878,0.13119672,0.1290099,0.12641545,0.12368119,0.12109956,0.11889944,0.117227465,0.11625566,0.116701625,0.11890062,0.122059405,0.12363004,0.12143138,0.115222484,0.107265204,0.10017294,0.095480315,0.093204506,0.09292453,0.0941908,0.09657288,0.09929377,0.10132273,0.10173845,0.09993238,0.095864214,0.08989505,0.0839161,0.081898995,0.09036275,0.11401397,0.15199597,0.19504057,0.2315957,0.2537042,0.26188317,0.26131764,0.25780916,0.2540783,0.25060844,0.24719228,0.24448353,0.2437769,0.24615903,0.25154117,0.25849843,0.2641736,0.2655517,0.26132938,0.25369158,0.24649595,0.24225391,0.2399491,0.23747523,0.23378623,0.23053932,0.22975408,0.23325305,0.2406674,0.25053898,0.25944948,0.26398396,0.2609154,0.24991141,0.23423661,0.22078712,0.21592759,0.22088528,0.23028482,0.23584639,0.23249145,0.22048922,0.20422591,0.18866111,0.17827891,0.17547059,0.1796174,0.18615864,0.18958361,0.187536,0.18323058,0.18238257,0.18791117,0.19714384,0.20473678,0.2077292,0.20718504,0.20613305,0.20601702,0.20779689,0.2115577,0.2175457,0.22253527,0.2227362,0.21492207,0.20040703,0.18308188,0.16890521,0.1631274,0.1680072,0.1799568,0.1906567,0.1916246,0.17975152,0.15918572,0.13905714,0.12781759,0.12757877,0.13327737,0.13768582,0.13940145,0.14422464,0.1596527,0.18601781,0.21513669,0.23599882,0.24299474,0.23834465,0.22855486,0.21913683,0.2120363,0.2064013,0.20066272,0.19409245,0.18739583,0.18219809,0.1799057,0.18059371,0.18291979,0.18584828,0.19025747,0.19860566,0.21168871,0.22659306,0.23828073,0.24384122,0.2441789,0.24215235,0.23939638,0.23580872,0.2302292,0.22163372,0.20893161,0.1922592,0.17415373,0.16083537,0.15900838,0.17159535,0.19371273,0.21591868,0.22977018,0.23356234,0.2307962,0.22614746,0.22059089,0.21122068,0.1937799,0.16763163,0.13850375,0.11735711,0.11365201,0.12899327,0.15503998,0.1789412,0.19031769,0.18607257,0.17062475,0.15301682,0.14260359,0.14393461,0.15511017,0.1703821,0.18472266,0.1962381,0.20415466,0.20828487,0.20873447,0.20736432,0.20531242,0.2010556,0.19002445,0.16894996,0.13983442,0.1109426,0.09145274,0.08637626,0.09353841,0.10650602,0.117438756,0.12029725,0.11327428,0.10130461,0.09527705,0.10554806,0.1342871,0.17284162,0.20783828,0.22981031,0.23774594,0.23658931,0.23221499,0.22813027,0.22523288,0.2230723,0.22084905,0.21811314,0.2147121,0.21077164,0.2064159,0.20199256,0.19812708,0.19561142,0.19456851,0.19394086,0.19191067,0.18769048,0.1828705,0.18067701,0.1833673,0.19009417,0.19793439,0.20499147,0.21259882,0.22377086,0.23937805,0.25599375,0.2676569,0.26967764,0.26104465,0.24388443,0.22241916,0.2019398,0.18836778,0.18523663,0.19164775,0.20181876,0.20982058,0.21248601,0.21003015,0.20236039,0.18936734,0.17307211,0.15982114,0.15623698,0.16346882,0.17559175,0.18417875,0.18537486,0.18157369,0.17848013,0.17945856,0.18385766,0.18880911,0.19195013,0.19212405,0.18799728,0.1783024,0.16351706,0.14761005,0.13682635,0.13564803,0.14386658,0.15634884,0.16716258,0.17309205,0.17536485,0.1771626,0.18023787,0.18292361,0.18151759,0.17367695,0.16083838,0.1480888,0.14248668,0.149686,0.17134736,0.20233886,0.23365521,0.25674966,0.26922727,0.2737979,0.27494034,0.27479705,0.27334407,0.2699264,0.2644705,0.25731128,0.24910563,0.2409883,0.23406,0.22862405,0.2242258,0.22099014,0.22006916,0.22266774,0.22859602,0.23618649,0.243313,0.24860024,0.25183758,0.25378886,0.25516617,0.25620893,0.25702423,0.2578943,0.25912675,0.25946116,0.2573435,0.2517526,0.24475025,0.23891331,0.23569016,0.23275119,0.22655082,0.21463752,0.19796108,0.17961301,0.16298974,0.15008326,0.14123477,0.13550496,0.131536,0.12830766,0.12619303,0.1269157,0.1328844,0.14481293,0.1610582,0.1778111,0.19167165,0.19992788,0.20114696,0.19521274,0.18565188,0.17934234,0.18251102,0.19547154,0.21156137,0.22298867,0.22633517,0.22427522,0.22105943,0.21921778,0.21853304,0.2185473,0.21962889,0.22261952,0.22690515,0.23038556,0.23070693,0.22672004,0.21803516,0.20426326,0.18622804,0.16885851,0.16158353,0.17304198,0.20298105,0.24016403,0.26902488,0.28032812,0.27485773,0.25985533,0.24249454,0.22731067,0.21591802,0.20772664,0.20101492,0.19438052,0.18791439,0.18191184,0.17626415,0.17026384,0.16422613,0.15922497,0.15604685,0.15400226,0.15125597,0.14660628,0.14014262,0.13332707,0.12738499,0.12303566,0.12005985,0.11793065,0.11585784,0.11316893,0.10954677,0.105011754,0.10001894,0.09501607,0.09052178,0.08664513,0.083466254,0.08168193,0.08370659,0.0935778,0.11390651,0.14295228,0.17325324,0.19674237,0.20931809,0.2141937,0.21756755,0.22451861,0.23542409,0.24808912,0.2599266,0.26981154,0.27713037,0.28135315,0.28192976,0.27905086,0.27365705,0.26757804,0.26362243,0.26528287,0.27508673,0.29236886,0.31272557,0.33025682,0.34097573,0.34446082,0.34274197,0.33818027,0.3322049,0.32510814,0.31652978,0.30610836,0.29484394,0.285125,0.27990305,0.27988485,0.2829326,0.2847875,0.2826773,0.27706042,0.27126527,0.26853514,0.26955023,0.27259147,0.27502477,0.27558652,0.27466717,0.27362537,0.27274197,0.27040356,0.2644719,0.2545899,0.2432421,0.23361711,0.22767039,0.22514069,0.22484064,0.2251515,0.22461672,0.2223878,0.2187562,0.2148527,0.21140063,0.20848888,0.20577961,0.20320773,0.20072614,0.19861333,0.19765913,0.19923966,0.20427744,0.21266754,0.22266085,0.23209347,0.23908778,0.24393266,0.24728839,0.24888957,0.24635641,0.239038,0.23045255,0.2270004,0.23251069,0.24532749,0.26071915,0.27495286,0.28688034,0.29621828,0.30243102,0.30472824,0.30284846,0.29685852,0.28781903,0.27811477,0.2713971,0.26987758,0.27247366,0.27440903,0.27074933,0.25945857,0.24347036,0.22791065,0.21699817,0.2111067,0.2085407,0.20744264,0.20761393,0.20946191,0.21364044,0.22033523,0.22886616,0.2364356,0.23894054,0.23321049,0.21977793,0.20226471,0.18484043,0.16911437,0.1543979,0.14033203,0.13011,0.12942542,0.14152576,0.1626112,0.18359141,0.1969297,0.2016068,0.20200332,0.20250697,0.20431562,0.20530052,0.2027468,0.19528426,0.18409131,0.1718343,0.16102856,0.1525813,0.14600088,0.14057422,0.13625799,0.13361871,0.13265114,0.13231702,0.13075005,0.1269175,0.12101663,0.11462698,0.10945577,0.107596956,0.11118809,0.12287229,0.14364038,0.17088659,0.1967467,0.21243496,0.21450709,0.20944577,0.20854117,0.21982442,0.24162193,0.26597393,0.28373727,0.29061338,0.28701627,0.27757075,0.2673103,0.26003507,0.25623932,0.25404367,0.25014472,0.2425283,0.23201396,0.22222763,0.21674782,0.21611653,0.21798128,0.21941732,0.21955502,0.21871896,0.21711195,0.21376193,0.20826966,0.20196605,0.19811635,0.19973393,0.20683934,0.21480882,0.21499114,0.19987015,0.16887255,0.13211422,0.1058226,0.102330275,0.122238286,0.15407412,0.1837367,0.20103176,0.20282555,0.18950279,0.16521944,0.13901298,0.12283867,0.12590177,0.1473129,0.17846204,0.2076612,0.22855045,0.23998146,0.24528484,0.24719691,0.24717946,0.24462724,0.23934363,0.23203844,0.22468771,0.21878934,0.21470267,0.21159796,0.20864339,0.2056029,0.20283403,0.20065503,0.198916,0.1968144,0.19333203,0.18799752,0.18174917,0.17679717,0.17535375,0.178293,0.18505485,0.1953166,0.20942606,0.22737847,0.24639814,0.26169655,0.26885268,0.26657972,0.25642508,0.24141741,0.22478302,0.20966057,0.19887811,0.19436444,0.19656129,0.20420492,0.21503675,0.22687413,0.23815005,0.24772225,0.25449273,0.25754073,0.25616884,0.24967171,0.23766316,0.22045553,0.19937658,0.17524986,0.14825542,0.11930034,0.092637084,0.075699575,0.074599095,0.09047227,0.117439516,0.14686562,0.16968518,0.18037526,0.17685586,0.16132474,0.13803618,0.11154903,0.08552268,0.06299495,0.04621863,0.035817906,0.03017558,0.027198108,0.025699714,0.026268559,0.030482018,0.043699816,0.07713181,0.14514162,0.24949127,0.3683342,0.46071646,0.49570015,0.47189495,0.4160876,0.35759118,0.31221643,0.2808428,0.25976375,0.24608397,0.23814721,0.23445965,0.23363686,0.23493104,0.23768383,0.24096765,0.24430065,0.24821997,0.25476322,0.26381847,0.27267805,0.2753321,0.2691373,0.2548936,0.23753254,0.2193834,0.20094015,0.18084459,0.1602294,0.1412974,0.12639768,0.115733474,0.109161794,0.1077579,0.11471591,0.1319171,0.15885754,0.19431949,0.24189334,0.30507937,0.37783566,0.4376432,0.45963204,0.4355689,0.38156733,0.32310322,0.27828917,0.2545169,0.25722104,0.29197553,0.35436186,0.42219642,0.46420053,0.46353877,0.42783394,0.38148728,0.34269595,0.31716895,0.30064622,0.29039875,0.2847239,0.2823758,0.27965426,0.2737769,0.26362047,0.25094965,0.23774433,0.22602005,0.21590394,0.20787448,0.20229512,0.20107044,0.20440501,0.21089594,0.2172168,0.22150029,0.2237256,0.22759408,0.24092142,0.27573812,0.3368213,0.41178417,0.4695703,0.48283076,0.4474773,0.38514593,0.32344517,0.27824506,0.25256488,0.24330677,0.24701464,0.25834215,0.27095556,0.28001025,0.28437865,0.28525206,0.28328827,0.27831128,0.27080485,0.2638445,0.26028928,0.2603875,0.25877592,0.25021338,0.23262388,0.2115613,0.19350077,0.18284535,0.17751785,0.17509192,0.17483307,0.17933182,0.18909562,0.2041809,0.22729445,0.26607522,0.3205602,0.3758098,0.40522453,0.39596608,0.35724404,0.31398484,0.28221175,0.26476327,0.25601518,0.25151512,0.24684876,0.23683597,0.22237714,0.21598299,0.23987015,0.30336574,0.39042166,0.46023312,0.48155513,0.4515367,0.39795098,0.3488071,0.31728217,0.29944506,0.28940812,0.2830801,0.2787757,0.2729363,0.2645999,0.2557192,0.25163415,0.2543216,0.26128635,0.2665788,0.26698533,0.26380238,0.26153022,0.26287103,0.26698482,0.27034834,0.270461,0.26750228,0.26500297,0.26960775,0.2903416,0.33339536,0.39349154,0.45103332,0.4816105,0.47373244,0.43574592,0.3886603,0.35012934,0.32753846,0.31880024,0.31793478,0.31824288,0.31426272,0.30371305,0.2881051,0.27274385,0.26315668,0.26261094,0.2694866,0.2798909,0.28897873,0.29349327,0.29069138,0.28008774,0.2633703,0.24468172,0.2278707,0.21484073,0.20528586,0.19810535,0.19339083,0.19175534,0.19303395,0.19425006,0.19271852,0.18903148,0.18826915,0.19494228,0.21069914,0.23598798,0.27475616,0.32858458,0.3884126,0.4309158,0.43533275,0.39943254,0.34357056,0.2927568,0.26236477,0.25575683,0.27449712,0.3188152,0.38091373,0.4391688,0.46948385,0.4617541,0.42545393,0.3798368,0.33981928,0.31240022,0.29890335,0.2972379,0.30203214,0.3050809,0.300855,0.28826246,0.27137116,0.25454772,0.24098659,0.23161529,0.22643603,0.22488682,0.2262081,0.22946572,0.23387589,0.23931135,0.24699585,0.2577947,0.27062622,0.28350806,0.29859495,0.3251282,0.3694962,0.42591417,0.47193208,0.48790264,0.46799716,0.42571902,0.377508,0.3359599,0.30561736,0.28788447,0.28130648,0.28273773,0.28802466,0.29397544,0.2985808,0.30085525,0.30034956,0.29812062,0.29583406,0.29439482,0.29048035,0.27881125,0.25568697,0.22567414,0.1988221,0.18521757,0.18619658,0.19499868,0.20191722,0.20241083,0.19861425,0.19551481,0.19611149,0.20272689,0.22194815,0.26308206,0.326785,0.39598313,0.44285083,0.44914603,0.41742894,0.36627957,0.3138037,0.27098054,0.24075969,0.22369863,0.21697555,0.2170531,0.22162427,0.23657846,0.27385464,0.33859834,0.41634044,0.4739879,0.4856877,0.4494709,0.3896385,0.33309487,0.29680339,0.2825525,0.28517562,0.29577687,0.30591187,0.3092082,0.30442858,0.2942376,0.28336954,0.27478683,0.2695761,0.2668641,0.2663556,0.26809928,0.27346036,0.28274846,0.2953212,0.30794653,0.31753492,0.3219849,0.32366273,0.32874903,0.34636644,0.38058147,0.42439774,0.45887816,0.4656647,0.44028723,0.39486265,0.3475034,0.30994737,0.28534618,0.27195296,0.26720676,0.2680279,0.27087831,0.27300295,0.27290335,0.2707386,0.26737893,0.26458552,0.26419225,0.26767504,0.2739516,0.27965903,0.28006807,0.2741036,0.2641048,0.25489578,0.24835183,0.24414663,0.24062908,0.23767091,0.23594163,0.23598462,0.23730172,0.23904033,0.24105786,0.24491711,0.25179598,0.2611278,0.2714394,0.28533837,0.3110958,0.35281613,0.40116963,0.43197146,0.42699102,0.38702857,0.33289778,0.2855827,0.25705394,0.25183132,0.27580324,0.32967487,0.3999417,0.4557301,0.47102478,0.4410245,0.38637996,0.33162537,0.29160833,0.26800933,0.25837895,0.25875673,0.2642975,0.2683663,0.26729795,0.26092342,0.25258994,0.24484839,0.23978664,0.24022442,0.25084642,0.2753702,0.30837834,0.33504108,0.33714172,0.31040606,0.26623267,0.22519119,0.19991714,0.19570972,0.21557033,0.26530704,0.3405256,0.41886473,0.46637544,0.46381703,0.41908887,0.3592634,0.3078753,0.2747397,0.25855803,0.25364527,0.25290027,0.24983434,0.24115036,0.22805184,0.21382762,0.20188338,0.1940016,0.19123898,0.19339854,0.19986175,0.20857204,0.21711783,0.22198881,0.22056413,0.21046124,0.19181646,0.16701293,0.14278935,0.12738436,0.12792312,0.14497642,0.17336418,0.20366116,0.22737478,0.23715605,0.22862472,0.20147288,0.16302706,0.12757623,0.11000686,0.11685643,0.14199539,0.17157991,0.19393866,0.20567246,0.21029444,0.21200734,0.21285777,0.21318685,0.21395884,0.21576059,0.21761076,0.21618141,0.20841987,0.19422613,0.17846757,0.16843946,0.1692755,0.1794231,0.19233163,0.20126571,0.2041863,0.20300661,0.20050919,0.1977983,0.1947212,0.1914926,0.18895036,0.18822837,0.18963134,0.19393998,0.20148955,0.21217807,0.22212104,0.22567876,0.21777236,0.19896932,0.17514782,0.15677796,0.15705848,0.1907614,0.26320246,0.36036742,0.44687614,0.48959613,0.47873306,0.43362668,0.3820034,0.34117594,0.31356487,0.2945446,0.28060856,0.27040014,0.26373267,0.2594393,0.25576377,0.25130144,0.24624519,0.24240832,0.24170877,0.24508016,0.24985959,0.25093278,0.24177943,0.22129555,0.19385819,0.16846602,0.15036543,0.13978495,0.13244049,0.12540723,0.11831338,0.11258649,0.108638816,0.106315196,0.1068336,0.1141895,0.13171631,0.15893696,0.1928873,0.23478298,0.2912173,0.36169744,0.42861578,0.46123075,0.44283605,0.3833532,0.31219208,0.25146648,0.21001981,0.19265093,0.2122649,0.2749318,0.36390713,0.43661475,0.45885,0.4259138,0.36564994,0.30689394,0.26563606,0.2419448,0.2341619,0.23834877,0.24932878,0.2575458,0.25770053,0.24925186,0.23788978,0.22770451,0.22085297,0.21666819,0.21644616,0.22241141,0.23637228,0.2553246,0.27316412,0.2836499,0.28544903,0.28131446,0.27721342,0.2804353,0.3003336,0.3423022,0.40000892,0.45150825,0.47181556,0.4510019,0.40155435,0.34734055,0.30573106,0.2811958,0.26888275,0.26284862,0.25856116,0.25391737,0.24837822,0.24294437,0.23905994,0.23769973,0.23888297,0.24192263,0.24666977,0.25297183,0.2594289,0.2612641,0.25296554,0.23259228,0.20499247,0.17866409,0.16006856,0.15041937,0.14727695,0.14809489,0.15186693,0.15820514,0.16879125,0.18881804,0.22863226,0.2908015,0.36228383,0.4122837,0.41850865,0.38135967,0.32525405,0.27292308,0.23363888,0.20476724,0.18445249,0.17381714,0.1717305,0.17377986,0.17929149,0.19941932,0.24734592,0.3206291,0.39098206,0.42383578,0.40548036,0.353148,0.29720587,0.2578875,0.23934297,0.23720491,0.24625675,0.26087126,0.27351543,0.2791784,0.27835247,0.277264,0.28063747,0.28787753,0.29436943,0.2974179,0.29891956,0.30222026,0.30747107,0.31106153,0.3097637,0.30441377,0.2989491,0.2967225,0.30005813,0.312687,0.3407056,0.38338748,0.42717007,0.44804752,0.431558,0.38284758,0.3240215,0.2755466,0.24741258,0.23947634,0.24847984,0.26970673,0.29628643,0.31910804,0.3311753,0.3316229,0.32546818,0.31851918,0.31293607,0.30842304,0.3061423,0.30806828,0.31387523,0.31741408,0.31359985,0.30194902,0.28928033,0.28049466,0.27549976,0.26851866,0.25696436,0.2439685,0.23664688,0.23693623,0.2398249,0.2377311,0.22988607,0.22371309,0.22972494,0.25447956,0.29888034,0.35746968,0.41699004,0.45682397,0.45864487,0.42006913,0.35841262,0.29994947,0.26306102,0.25392416,0.27095714,0.3117884,0.36685464,0.41760024,0.44075218,0.42839018,0.3920457,0.3548057,0.33116147,0.32270464,0.32336423,0.3278338,0.33276126,0.3355131,0.3338484,0.327324,0.3162435,0.30186355,0.28513476,0.26895925,0.25688308,0.25259146,0.25655296,0.2663943,0.27848402,0.29102555,0.30380246,0.3165135,0.32693323,0.33379552,0.33954105,0.35239807,0.37793306,0.41162148,0.43547618,0.432567,0.40036893,0.35395613,0.31189588,0.2834867,0.2678058,0.26102436,0.26199904,0.270141,0.28259423,0.29365042,0.29905164,0.2982069,0.29484966,0.29284653,0.29489356,0.30046108,0.30708656,0.3102843,0.30587423,0.29207006,0.27003703,0.24330737,0.2162581,0.1944152,0.18270521,0.18358003,0.19415915,0.20710368,0.21388794,0.21367367,0.21761964,0.24568427,0.30578905,0.38236523,0.4391973,0.45019627,0.41509214,0.35858896,0.30567232,0.26928636,0.24963443,0.24218728,0.24145526,0.2404661,0.23579587,0.23294155,0.24938314,0.29730937,0.36828443,0.42808604,0.4452912,0.41305277,0.35457507,0.2977865,0.25880718,0.23865075,0.23401855,0.2407986,0.25435558,0.2672595,0.27441797,0.2742673,0.27055913,0.2669189,0.26565918,0.2657881,0.26490796,0.26079246,0.2530498,0.2443022,0.23760869,0.234906,0.2349046,0.23574354,0.23708646,0.24368851,0.26465625,0.30756927,0.36717343,0.42233172,0.44822165,0.43759915,0.406117,0.37728295,0.36182615,0.3552452,0.34977034,0.34393522,0.33995807,0.33724213,0.33255076,0.32489803,0.31785348,0.3153225,0.31774604,0.32182416,0.32536098,0.3279148,0.32935968,0.32607555,0.313658,0.29073513,0.26149124,0.23174977,0.20472147,0.18045871,0.15996778,0.14772567,0.1485845,0.1619934,0.18041156,0.19541137,0.2047923,0.2133609,0.22646372,0.24528797,0.2694681,0.3021349,0.34646404,0.39626682,0.43304348,0.43941128,0.41388118,0.37077773,0.32403052,0.278455,0.23685397,0.21355289,0.22702892,0.28067598,0.3487303,0.39492726,0.39987752,0.3755983,0.3477753,0.33369282,0.33307037,0.3379263,0.34158567,0.34126398,0.3357403,0.3256073,0.31351876,0.30312577,0.29595312,0.29072642,0.2844349,0.27547726,0.26549724,0.25882867,0.25928757,0.26586056,0.27318785,0.27522817,0.27054927,0.2620713,0.25628102,0.26128384,0.28672278,0.333447,0.38818356,0.42359403,0.42107856,0.38206205,0.3286455,0.28219888,0.25350854,0.24131876,0.24097656,0.24805605,0.25920406,0.27117518,0.28060853,0.28498504,0.28388667,0.27939394,0.27467397,0.27247703,0.27462253,0.28088835,0.28752518,0.28747115,0.27556846,0.25437084,0.23308535,0.21991007,0.2148655,0.21294063,0.21142302,0.2130983,0.22115749,0.23412158,0.24976468,0.27159253,0.30892244,0.36272192,0.41663304,0.44199267,0.42166695,0.36080113,0.28316247,0.21027647,0.15513931,0.12087255,0.10764876,0.11041257,0.12101221,0.13364787,0.1536193,0.19647987,0.26918578,0.35539135,0.41685387,0.42570928,0.38352504,0.319953,0.26368278,0.22854327,0.21372776,0.215505,0.22925454,0.24885947,0.2660174,0.2754117,0.27653715,0.27363482,0.27067634,0.26966345,0.2697066,0.26946902,0.26783025,0.26479533,0.26080003,0.2568237,0.25361013,0.25172994,0.2509847,0.25244078,0.26054078,0.28411874,0.32864776,0.38596877,0.43265685,0.44435215,0.41550645,0.36169624,0.30752996,0.26837966,0.24819982,0.24249768,0.24578293,0.2525519,0.25992393,0.26777565,0.27868804,0.29377726,0.31033945,0.32236543,0.32617867,0.3238269,0.32118306,0.32154056,0.32208988,0.3165473,0.30129182,0.27844378,0.25432748,0.23438442,0.22057557,0.2118129,0.20619059,0.20198463,0.19673698,0.18943398,0.18298502,0.18535869,0.2035098,0.23626208,0.27538812,0.31316146,0.35145998,0.3932463,0.43363288,0.45403302,0.44011545,0.3933562,0.33160016,0.27207512,0.22462595,0.19738488,0.20287119,0.24851935,0.32179633,0.39009762,0.4227983,0.41235018,0.37623194,0.339419,0.318078,0.31548643,0.32665324,0.3431065,0.3565685,0.3609288,0.3552787,0.3415228,0.32329145,0.30273572,0.28307903,0.26765767,0.2596253,0.25815892,0.2595037,0.2593509,0.25713158,0.25652286,0.26246157,0.27622965,0.29384348,0.31166223,0.33219686,0.36359218,0.4056724,0.4440191,0.45480824,0.4283897,0.37497267,0.31841245,0.27475962,0.24822469,0.23500912,0.23159151,0.23529214,0.24247678,0.24932332,0.253467,0.2552216,0.25604847,0.25721171,0.2595022,0.26306072,0.26706907,0.2673515,0.25840995,0.23589496,0.20273328,0.16646601,0.13603613,0.11487362,0.10219419,0.094888546,0.09113681,0.09008777,0.091031455,0.09512356,0.108983986,0.14631672,0.21659243,0.31014436,0.39376345,0.43125215,0.4096521,0.34563294,0.26849458,0.19884408,0.14578646,0.11281081,0.103235245,0.11599904,0.14437096,0.18049383,0.22365828,0.27947,0.347422,0.41132483,0.4455957,0.43774128,0.3979871,0.35113084,0.3148651,0.29419455,0.28667772,0.29092917,0.3055186,0.32471055,0.34034494,0.3461453,0.3431294,0.33619642,0.33106148,0.32934225,0.33001113,0.3301524,0.32730556,0.319597,0.3071966,0.29357496,0.28490007,0.286532,0.2984605,0.3168787,0.3389324,0.36791018,0.40561226,0.44511047,0.46753752,0.45816267,0.41739476,0.3627166,0.31331518,0.27989826,0.26263356,0.25684556,0.2576038,0.26132205,0.2666541,0.2734497,0.28164566,0.28953287,0.29440033,0.294508,0.29056764,0.2849963,0.27777657,0.2653884,0.24240498,0.20840453,0.1689138,0.13317735,0.106811404,0.09041199,0.08084763,0.07558695,0.073570825,0.07465669,0.07805929,0.08311111,0.090715505,0.10460652,0.12842318,0.16246332,0.20368235,0.2508632,0.30744088,0.37162805,0.42822888,0.45029512,0.4238399,0.3597794,0.28862205,0.2353182,0.21067268,0.2165413,0.25508595,0.3211393,0.39585528,0.44902942,0.4627937,0.44060686,0.40438434,0.37140915,0.34760734,0.3297229,0.31657887,0.30941996,0.30852234,0.30986258,0.30900732,0.3044664,0.29922736,0.2966816,0.2983075,0.30221447,0.30474976,0.3023324,0.29325613,0.2795242,0.26594377,0.25821266,0.25887433,0.26611987,0.2761569,0.2885464,0.30961064,0.34626576,0.3950912,0.4368088,0.4475242,0.41815987,0.3612802,0.3009229,0.2537278,0.22414504,0.20836546,0.20246927,0.20311974,0.20702527,0.21109702,0.21376915,0.21591598,0.2194106,0.22603758,0.2360214,0.24762125,0.25663772,0.25709027,0.24418586,0.21754406,0.18294005,0.14838327,0.12024165,0.099929415,0.086510085,0.07824228,0.074579,0.07453776,0.07665345,0.07919843,0.082488514,0.08967497,0.10477657,0.12890399,0.16030584,0.19875045,0.2501739,0.3179985,0.39383683,0.45292985,0.47461298,0.4554579,0.41318032,0.36686334,0.33007202,0.31053197,0.31805095,0.35646024,0.41508436,0.46723643,0.48818076,0.47230312,0.43553194,0.3998303,0.37663195,0.36457577,0.35659087,0.3476961,0.33582333,0.32067153,0.3039371,0.28922236,0.28132167,0.28312767,0.29426143,0.3126606,0.33643296,0.36610317,0.39818755,0.42497262,0.43388525,0.42101255,0.39158908,0.35903668,0.33201084,0.31607822,0.31459978,0.33341,0.36955371,0.40946582,0.43008924,0.42003843,0.38385233,0.34047106,0.30445576,0.28150836,0.2685115,0.26089567,0.2546889,0.24782169,0.24028146,0.23382764,0.23011316,0.22902532,0.22872175,0.22749682,0.22511475,0.22266781,0.2207398,0.21898215,0.21630281,0.21265513,0.20864503,0.20558442,0.20393278,0.20424636,0.20712793,0.21508373,0.23004438,0.2518662,0.27514175,0.29299513,0.30044544,0.2979224,0.28871882,0.27605775,0.26210794,0.2490682,0.24059182,0.23977077,0.24718821,0.25954762,0.27215597,0.2815075,0.2869073,0.28922775,0.28941262,0.28762937,0.28359675,0.27697203,0.2678657,0.25719467,0.24728799,0.2407474,0.23929538,0.24175759,0.24564947,0.24809593,0.24850637,0.24640365,0.24186246,0.23387767,0.2237287,0.21387498,0.2076328,0.20571856,0.20695406,0.20991425,0.21440697,0.22038226,0.22575758,0.22648889,0.2190721,0.20340301,0.1835634,0.164953,0.151289,0.1434971,0.14233471,0.1501246,0.16876185,0.19572204,0.22333823,0.24384606,0.25474256,0.25958374,0.2636329,0.26930955,0.27522227,0.27808782,0.27583787,0.26894465,0.2601224,0.25215837,0.2462923,0.24163006,0.23621742,0.2279411,0.21603753,0.20105071,0.18504435,0.16935784,0.15461238,0.14031553,0.12721202,0.11732549,0.11418763,0.12060114,0.1371876,0.16097003,0.18571877,0.204009,0.21057755,0.20700432,0.20108943,0.20269923,0.21511513,0.2345801,0.25347194,0.26717606,0.2743689,0.2757174,0.2721227,0.2649287,0.25618735,0.2475651,0.2397883,0.23269159,0.2265173,0.22290732,0.22394429,0.23058982,0.24076778,0.25122118,0.25901067,0.26367602,0.2653791,0.26433063,0.25964376,0.2507876,0.23801182,0.22324912,0.2095712,0.20007093,0.19533908,0.19175045,0.18278943,0.16458334,0.14129715,0.12514816,0.12768638,0.15103137,0.18489903,0.21504045,0.231052,0.23024331,0.2144622,0.18900518,0.1636839,0.15094104,0.16009302,0.1887579,0.22472735,0.25280604,0.2665372,0.26906478,0.26932237,0.27291182,0.27981994,0.28539225,0.28539193,0.2785473,0.2672976,0.25548372,0.24598603,0.23929375,0.23423846,0.22944926,0.22460556,0.22034836,0.21750875,0.21568358,0.21330607,0.20849538,0.20113386,0.19271244,0.18541884,0.18017565,0.17684023,0.17476821,0.17372905,0.17353135,0.17380007,0.17383881,0.17322989,0.17198043,0.17058353,0.16939236,0.16844194,0.16732079,0.16566025,0.16333598,0.16059385,0.15775536,0.15514277,0.15295778,0.15139805,0.15045524,0.15000351,0.14970975,0.14938623,0.1489185,0.1484346,0.14795692,0.1474381,0.14656997,0.14516324,0.1432965,0.14167097,0.1413161,0.14320385,0.14705904,0.15111136,0.15256537,0.14995879,0.14414956,0.13794231,0.13351993,0.13122046,0.12974997,0.12786144,0.12530462,0.12267789,0.120605506,0.11908803,0.11771808,0.116069436,0.113999255,0.11137066,0.108044505,0.10408419,0.10003721,0.096522786,0.09370906,0.09105707,0.0879988,0.08438938,0.08067927,0.07728595,0.07430768,0.07142142,0.06823435,0.064550154,0.060503256,0.05645068,0.052691758,0.04929541,0.046124008,0.043044794,0.040061776,0.037275504,0.03473137,0.032390166,0.030475492,0.030356979,0.035412367,0.050513025,0.07938083,0.120753646,0.16735648,0.20847023,0.23589878,0.24691369,0.24464627,0.23458005,0.22285831,0.21478604,0.21465622,0.22418453,0.24092905,0.25817713,0.2678236,0.26572713,0.25503755,0.24478297,0.24325728,0.25291374,0.2694668,0.28666008,0.2997913,0.30717406,0.30803534,0.30159438,0.2873289,0.26658675,0.24245207,0.21751018,0.19119132,0.16132468,0.12866016,0.10094277,0.088928394,0.098653555,0.12563308,0.15797086,0.18431222,0.1987499,0.20123337,0.19357805,0.17828958,0.15725444,0.13276604,0.10722477,0.08359245,0.06438852,0.05080909,0.04198258,0.03636104,0.032739755,0.03164657,0.036504287,0.05597505,0.10271297,0.18322659,0.28537157,0.37687978,0.42454764,0.41772738,0.37396097,0.32235953,0.28250682,0.25863543,0.24606454,0.23954433,0.23543002,0.23134132,0.22582339,0.21906018,0.21221602,0.20693298,0.20423019,0.20537585,0.2120261,0.22504862,0.24199946,0.25629434,0.26118436,0.25442615,0.23977883,0.22309475,0.20782666,0.19401298,0.1802274,0.1660341,0.1519012,0.1384585,0.12627663,0.117430486,0.11637118,0.12709673,0.14968435,0.18007599,0.21658063,0.26345727,0.3236626,0.38730434,0.43031213,0.43309724,0.39729652,0.34514546,0.29950336,0.2705379,0.25932825,0.26967773,0.30698052,0.36656633,0.42596066,0.45799994,0.45052913,0.41461885,0.372628,0.34083056,0.32348207,0.3168716,0.3158996,0.31556353,0.31142363,0.30130622,0.2866195,0.27142316,0.25912973,0.2506598,0.244739,0.2396614,0.23477407,0.23110455,0.23054183,0.2343685,0.24145989,0.24904366,0.25428542,0.2570206,0.26184583,0.27812907,0.31649128,0.37559533,0.4365538,0.46713617,0.44866243,0.3881087,0.3149563,0.25515634,0.21979748,0.20592932,0.20736612,0.21805511,0.23183794,0.2432944,0.25049388,0.2557551,0.26179734,0.26788583,0.2703029,0.2672753,0.26212358,0.2597635,0.2610741,0.26064023,0.2530701,0.2384547,0.22390358,0.21604274,0.21567892,0.21719368,0.21642983,0.21447875,0.21600409,0.22273089,0.23581429,0.25994825,0.30203417,0.3573085,0.40500554,0.4209485,0.40025628,0.35927662,0.31974846,0.29063368,0.2699447,0.25413546,0.24344848,0.23738933,0.23301214,0.23052472,0.23887604,0.2724384,0.33252096,0.39963648,0.43935987,0.43344915,0.39032006,0.33960053,0.30314717,0.2860842,0.28024888,0.27797687,0.27558997,0.2721381,0.26828477,0.26689318,0.27193674,0.28428188,0.29994884,0.31229773,0.31743732,0.31551337,0.30958566,0.30194584,0.29419056,0.2868235,0.2803352,0.27457672,0.27001953,0.269761,0.28050065,0.31092858,0.36176684,0.42008606,0.45953634,0.4594674,0.41781643,0.35471484,0.29535136,0.2568166,0.24151151,0.24344687,0.25422427,0.26787713,0.2798268,0.28637716,0.2849406,0.27748796,0.26993635,0.26880872,0.27561617,0.28765604,0.29927012,0.30590877,0.30346653,0.29166663,0.27341565,0.25491193,0.240629,0.23197342,0.22726049,0.2249255,0.22414191,0.22423716,0.22300355,0.21807158,0.20973183,0.20233418,0.20130503,0.20879467,0.22453822,0.25016928,0.29121017,0.34688225,0.40233216,0.4310114,0.41680637,0.36686245,0.30790353,0.26387218,0.24482475,0.2500421,0.27919534,0.3298639,0.39052024,0.43757582,0.45214346,0.43285704,0.39683512,0.36203632,0.33637008,0.3179945,0.30448866,0.29550126,0.29185465,0.29193354,0.29360437,0.29360065,0.28989053,0.2810723,0.2686439,0.25570527,0.24532652,0.23830104,0.23335661,0.22940283,0.22703914,0.228471,0.23500317,0.24536546,0.25694937,0.27040944,0.2922218,0.3299161,0.3809006,0.42842317,0.44984022,0.4355946,0.39499593,0.34914938,0.3127842,0.28913152,0.2732986,0.2616162,0.25359222,0.25063708,0.25329456,0.26134905,0.27328774,0.28675482,0.29862446,0.30740538,0.31370625,0.31826803,0.31824753,0.3075721,0.2828043,0.24968785,0.22120701,0.20825331,0.20989712,0.2162485,0.21772611,0.21472365,0.21303038,0.21669535,0.22345851,0.23332949,0.25471008,0.29697514,0.35605016,0.4081196,0.42895174,0.41134652,0.37029004,0.3252515,0.2877533,0.25931832,0.23833571,0.22446889,0.21771288,0.21825922,0.227206,0.25004008,0.29256225,0.35226235,0.4118882,0.44739738,0.4459535,0.41351625,0.36916354,0.329222,0.30235472,0.28950405,0.28781512,0.29159108,0.29414746,0.29172397,0.2845343,0.27639326,0.27064002,0.2691455,0.27159116,0.27710676,0.28442684,0.29293656,0.30289155,0.31569788,0.3320657,0.35037306,0.3659668,0.3737699,0.3732091,0.37145558,0.38144824,0.40910307,0.44530162,0.46698925,0.45799622,0.41990626,0.37093493,0.32743475,0.29617536,0.2758764,0.2651985,0.26422977,0.2725389,0.28715327,0.303771,0.3182005,0.32826093,0.33371535,0.3367354,0.3402263,0.34658098,0.35477972,0.36101007,0.3604068,0.35146216,0.336593,0.32068267,0.30770162,0.29913005,0.29450342,0.2927408,0.29326168,0.29579303,0.29884925,0.3002449,0.29811427,0.2941523,0.29202056,0.2957778,0.30775234,0.33042347,0.3655647,0.40816662,0.44342434,0.45225456,0.42821693,0.38252673,0.3365221,0.30405185,0.28908017,0.29199085,0.31702816,0.3619449,0.41126612,0.4367349,0.42217755,0.37266088,0.3136425,0.26659623,0.2408583,0.23306471,0.23713887,0.24725354,0.25787118,0.26507655,0.26751283,0.2672954,0.26670432,0.26708773,0.27004394,0.2802355,0.30523655,0.34607837,0.3908949,0.4162184,0.4063832,0.3653303,0.31446636,0.27323088,0.24988334,0.24593645,0.26597258,0.31272337,0.37484622,0.42383575,0.4330237,0.39841673,0.34137985,0.2892146,0.25733677,0.24613185,0.24868834,0.2561227,0.26055712,0.25794694,0.2502451,0.24252112,0.2378651,0.23637927,0.23702969,0.24006252,0.24498315,0.2500559,0.25258654,0.25150594,0.24769638,0.24192287,0.2333387,0.21939647,0.20079531,0.18284418,0.17478187,0.181943,0.20307662,0.23000376,0.25358793,0.26628748,0.2639332,0.24485631,0.21139638,0.17117243,0.13761145,0.12387838,0.1354987,0.16518097,0.1986319,0.22396076,0.23817617,0.24473356,0.24759811,0.24880119,0.2489971,0.24922384,0.2494374,0.24788277,0.24122368,0.22744785,0.20838039,0.19021918,0.18049933,0.18288572,0.1951162,0.2109287,0.2250791,0.23504417,0.24080826,0.242997,0.242712,0.24114938,0.23893051,0.23642664,0.23393083,0.23372908,0.2378441,0.24724789,0.25816515,0.26525474,0.26276675,0.24960434,0.22804897,0.20450754,0.18532462,0.17605184,0.17893231,0.19306833,0.21397185,0.23438966,0.24809647,0.25232708,0.2496544,0.24387358,0.23797482,0.23247676,0.22797276,0.22581656,0.22742249,0.23215468,0.23693724,0.23865657,0.23626398,0.23088855,0.22297895,0.2114505,0.19549738,0.17749101,0.16164313,0.14973384,0.13920505,0.12664391,0.11249301,0.10056817,0.09339145,0.089170314,0.08407592,0.07629944,0.067231484,0.05929129,0.05365854,0.04988836,0.047016215,0.044346724,0.041720465,0.039207906,0.03694619,0.034955356,0.033172633,0.031472027,0.029744714,0.027948039,0.026132548,0.02441289,0.023052834,0.022622012,0.02413941,0.028371727,0.034974325,0.041860763,0.046424937,0.047054786,0.0442298,0.039658964,0.035146188,0.031823255,0.030373031,0.0310487,0.033478692,0.036427025,0.03840361,0.038468976,0.03675848,0.034076843,0.031285748,0.029196806,0.028795896,0.031440437,0.037601277,0.04604484,0.053527668,0.05722949,0.056250136,0.052286595,0.04754795,0.043646973,0.041073855,0.040121045,0.040842537,0.04296946,0.045417797,0.047045052,0.047085013,0.04577763,0.043725688,0.04162964,0.039787922,0.03832234,0.03716464,0.036247883,0.03551364,0.03497188,0.034643445,0.034489963,0.034415398,0.03429349,0.03405374,0.033661906,0.033129383,0.03245999,0.03167474,0.030810976,0.029933712,0.029117703,0.028402602,0.027782649,0.027193114,0.026562855,0.025823912,0.024875423,0.023518689,0.021481117,0.01865456,0.015290116,0.011998095,0.009370451,0.0076573193,0.0066696852,0.006041112,0.00548182,0.0049051302,0.004351863,0.0038898273,0.003535228,0.003253214,0.0029869985,0.0027035726,0.0024066481,0.0021276714,0.0018972643,0.0017286018,0.0016128825,0.001528677,0.0014534047,0.0013713707,0.001277239,0.0011731508,0.0010664177,0.0009651791,0.0008792475,0.00081845344,0.0007923497]