[0.03167712,0.03951521,0.053841833,0.065484524,0.06882137,0.067491315,0.07417556,0.09834876,0.14049613,0.18421811,0.21151549,0.20659447,0.1751514,0.13540217,0.1144987,0.120837964,0.14251752,0.15204121,0.13554606,0.10066017,0.073907994,0.07902675,0.12393558,0.19582069,0.26681247,0.30936018,0.30728006,0.2644399,0.19825935,0.13276125,0.08799233,0.07510739,0.09335202,0.13367863,0.18213744,0.22643149,0.25688,0.2733279,0.28147626,0.2894008,0.29443645,0.2869674,0.26065946,0.2250851,0.19934666,0.19542916,0.20919138,0.22472268,0.2297632,0.2203391,0.20091651,0.17627828,0.15139388,0.12969543,0.11342358,0.10146437,0.092568934,0.089070946,0.0955109,0.11089542,0.12675427,0.13521485,0.13913184,0.14712745,0.16269894,0.17743264,0.18205382,0.17463338,0.1631919,0.15507324,0.15227066,0.14920342,0.13978879,0.12119728,0.09810176,0.07774129,0.06714297,0.06809691,0.0798133,0.09779954,0.1165581,0.12886561,0.13038746,0.12051031,0.1040762,0.08686935,0.07414446,0.06833517,0.07230418,0.08727205,0.10994789,0.13101824,0.14256968,0.14906491,0.16344275,0.19482379,0.23427565,0.2638422,0.26981106,0.2539716,0.22689521,0.20030446,0.17823331,0.15858634,0.1354479,0.110353,0.09273514,0.094764054,0.118907414,0.15516192,0.19133975,0.2182902,0.23519878,0.2396316,0.23249547,0.21301647,0.18539482,0.15149215,0.11763496,0.09257263,0.09010285,0.115627766,0.15981883,0.19816543,0.20836996,0.18574281,0.14699857,0.11811114,0.115159094,0.136627,0.1648221,0.1813153,0.17538226,0.15131605,0.12224268,0.103115626,0.10104787,0.1154722,0.1445049,0.19008231,0.25243324,0.32153094,0.37534222,0.39302388,0.365217,0.30185488,0.22572517,0.16909015,0.16089219,0.21555738,0.32268858,0.44817773,0.5500968,0.59250283,0.5652214,0.48565862,0.39792848,0.34219837,0.33563948,0.3598232,0.38724554,0.3966821,0.38707522,0.36274168,0.3324522,0.30220687,0.27811754,0.25881585,0.23735528,0.20604126,0.1648342,0.12218588,0.09075863,0.083001316,0.10612207,0.156152,0.21717292,0.26904765,0.3029791,0.32080004,0.33079708,0.33399603,0.33205077,0.32400706,0.31280825,0.29603505,0.27437147,0.24745089,0.2197551,0.19598229,0.18807988,0.2064798,0.2531964,0.31085607,0.35683313,0.37565222,0.3690386,0.3447187,0.3107907,0.27504122,0.24858469,0.2437964,0.26227847,0.2935998,0.31634036,0.31635454,0.28986922,0.2469532,0.19771244,0.15047805,0.110150345,0.085421585,0.086496025,0.11941075,0.17663164,0.23806185,0.27820316,0.28157973,0.24828666,0.19629385,0.15020901,0.13420492,0.15927088,0.21849571,0.2893277,0.34591374,0.37728557,0.38846895,0.3951216,0.4072261,0.42607185,0.448558,0.46943533,0.48530665,0.48758367,0.47236684,0.44132352,0.40734252,0.3831925,0.3745019,0.3761278,0.37643895,0.36308876,0.329265,0.28098097,0.24038185,0.23548067,0.28204247,0.36578503,0.449066,0.4880449,0.46363306,0.3877039,0.3006092,0.23640026,0.20644943,0.19143178,0.17376846,0.15463018,0.15546368,0.1874953,0.2378306,0.27888367,0.29657045,0.29813287,0.30116132,0.3098326,0.3167466,0.30930588,0.28669038,0.2524663,0.21347475,0.17350428,0.14115906,0.13080685,0.15737122,0.22689058,0.32331192,0.4166663,0.47525802,0.49130726,0.478439,0.4563615,0.43237603,0.40319276,0.37202767,0.34755477,0.33347705,0.3161526,0.27850536,0.21899296,0.15917009,0.13107301,0.15461873,0.2233506,0.3017993,0.34684685,0.3340125,0.27857777,0.22266102,0.20647292,0.23985326,0.30235544,0.3616393,0.39746574,0.40736297,0.40189973,0.3876919,0.36683282,0.3378677,0.30892548,0.2940992,0.30247796,0.3289672,0.35298145,0.3596016,0.34016815,0.30092403,0.24679984,0.188878,0.13851951,0.11102113,0.12041066,0.17007421,0.25288987,0.34483814,0.42340443,0.46641478,0.4647,0.41509768,0.3312525,0.24105078,0.18039353,0.17279631,0.21231128,0.26531693,0.29166424,0.27650216,0.24067974,0.22416554,0.25104144,0.31298807,0.3745862,0.40192068,0.38148078,0.3348026,0.2996858,0.30810043,0.35602975,0.41572973,0.4546725,0.4645979,0.4500959,0.4238166,0.39103267,0.3605455,0.33791968,0.32333052,0.3067169,0.27369645,0.22237687,0.16324271,0.11993001,0.11086398,0.14500923,0.21295433,0.29217672,0.35617375,0.38909557,0.39260578,0.37902263,0.35965928,0.33780846,0.31520677,0.29580152,0.2866583,0.2857823,0.28317073,0.26425764,0.22529392,0.17542906,0.13559756,0.12655501,0.15593843,0.21103399,0.26674047,0.3051757,0.32611656,0.33693525,0.33840242,0.32022032,0.27647102,0.21661504,0.16819203,0.1615014,0.20475024,0.27241588,0.31626457,0.3096499,0.2689927,0.2422985,0.26207966,0.31833646,0.37252715,0.3903605,0.37359747,0.3509213,0.35947597,0.4099901,0.48456845,0.5456707,0.5662928,0.5414689,0.48850617,0.43155167,0.39112857,0.37973067,0.3978887,0.4331516,0.4612366,0.46291628,0.43527362,0.39154327,0.34486058,0.29863226,0.2531873,0.2155808,0.19861726,0.2061813,0.2249012,0.23437352,0.22415406,0.2018394,0.18019022,0.16466509,0.15228708,0.14405477,0.15131089,0.18281938,0.22940056,0.26075494,0.2534722,0.21395607,0.18174767,0.19728239,0.2730585,0.38542357,0.49169955,0.5527989,0.54715747,0.48004714,0.38178453,0.2975063,0.261276,0.28032735,0.33305407,0.38933876,0.42220524,0.4185984,0.37540054,0.30645618,0.23436098,0.18832542,0.18369456,0.21873371,0.26845363,0.30506393,0.31114992,0.293538,0.27071938,0.2577969,0.25478828,0.2525318,0.24380825,0.23038416,0.21827196,0.21257538,0.21182632,0.21470515,0.22041945,0.23178715,0.24836715,0.26733398,0.28476,0.2985451,0.30660176,0.30421486,0.28710964,0.2583026,0.23125768,0.22256659,0.2384889,0.26900885,0.29615855,0.3089312,0.31011224,0.30822554,0.3081465,0.30712798,0.30324706,0.2976841,0.29537305,0.2965466,0.29783487,0.29552424,0.29314926,0.30072284,0.324833,0.3610177,0.39348578,0.40920627,0.40400705,0.38191816,0.3460516,0.29991308,0.25307173,0.2233814,0.22717448,0.26424393,0.31252667,0.34047642,0.33109578,0.29702798,0.26804852,0.26610267,0.28597555,0.3076614,0.31095812,0.2903258,0.24818861,0.19496526,0.14127909,0.09769237,0.06770116,0.050798994,0.0432528,0.04221986,0.044427287,0.046996683,0.047611356,0.04552974,0.041623216,0.03720686,0.033440985,0.03038012,0.027831761,0.025192698,0.022145888,0.01817993,0.0134718055,0.008666889,0.0048539606,0.0025668934,0.0020976614,0.0039040942,0.009188307,0.018212477,0.029636448,0.039797757,0.046306375,0.048892085,0.050817322,0.0547998,0.062264353,0.072234504,0.08427137,0.09706322,0.107532896,0.10894405,0.0969685,0.072949775,0.045676004,0.023420915,0.010231671,0.0043045306,0.002859422,0.005772052,0.016873611,0.04148811,0.07798294,0.11523941,0.13596691,0.1328214,0.11347279,0.09529369,0.088909924,0.09228533,0.09728246,0.09799603,0.09497317,0.09095654,0.08948705,0.09215059,0.096475415,0.09718507,0.090674154,0.083228715,0.08579197,0.10496309,0.13352744,0.15854111,0.17227376,0.17647249,0.17387335,0.16191281,0.13654742,0.10224586,0.07310006,0.06512308,0.082460724,0.114768885,0.14226931,0.15146674,0.14168152,0.12442342,0.110376574,0.10324222,0.09842191,0.091109045,0.0791594,0.0642693,0.0484129,0.03497343,0.02870982,0.036980037,0.06263512,0.10223025,0.14343621,0.17843723,0.20469427,0.22778177,0.24470466,0.24785091,0.22714047,0.18591551,0.13630138,0.09553897,0.07758463,0.09162895,0.13619037,0.1934944,0.2355078,0.24085134,0.21024893,0.16273053,0.12011779,0.095914654,0.09359608,0.10995772,0.13295753,0.14692985,0.13902153,0.11080601,0.07456494,0.046705496,0.036071867,0.042865988,0.059807535,0.0784008,0.09230154,0.10008961,0.10197993,0.098656714,0.08806801,0.07090876,0.050031364,0.03536456,0.037487265,0.06601385,0.11556431,0.16691023,0.19209297,0.1802694,0.14463027,0.11674271,0.119061254,0.15179844,0.19445443,0.2235127,0.22741328,0.21021701,0.1842433,0.15841305,0.13394879,0.107489385,0.079035416,0.055588517,0.04923887,0.06855572,0.108847536,0.15030365,0.16877753,0.15486448,0.12219447,0.097781174,0.10128946,0.13072138,0.16695166,0.18708968,0.18136792,0.15373194,0.11739591,0.083515525,0.061252087,0.057687163,0.07622979,0.11052066,0.14394586,0.16263613,0.16545857,0.16603698,0.17393899,0.18658018,0.18742423,0.16677655,0.12705691,0.08557939,0.0586908,0.05697147,0.079566084,0.11786852,0.15869628,0.1897595,0.20445542,0.20196247,0.18698847,0.1674891,0.15320937,0.1503776,0.15742378,0.16660899,0.17130409,0.17161185,0.17230316,0.17534344,0.17823188,0.17654984,0.171695,0.16741653,0.16515483,0.15850247,0.14137322,0.1160255,0.09421787,0.08681897,0.09477048,0.10896364,0.117928214,0.11393761,0.09787172,0.077473074,0.06697067,0.07570603,0.10538264,0.14400662,0.17901297,0.19908755,0.20259614,0.18926786,0.16275077,0.12687914,0.08950815,0.061006326,0.05325987,0.07498405,0.122583784,0.17775644,0.21303032,0.21213253,0.18032426,0.14295514,0.1235842,0.1295087,0.14832796,0.16349547,0.16619705,0.15894349,0.14722086,0.13452142,0.12251252,0.11349079,0.10905078,0.10649765,0.10137222,0.09227103,0.084920384,0.08587865,0.0948127,0.10230247,0.09745312,0.077965386,0.05089639,0.027633049,0.01566458,0.018328726,0.036254283,0.070278026,0.11977288,0.17784858,0.23074126,0.26100278,0.26078752,0.23473571,0.20020549,0.1733404,0.16537881,0.17421575,0.19046937,0.19696724,0.1840655,0.14974196,0.10644423,0.069161646,0.05348305,0.06529225,0.09783252,0.13269973,0.14817773,0.13562308,0.10109988,0.062512524,0.033640984,0.021641508,0.025071487,0.039863046,0.059848696,0.080487795,0.09943175,0.11742731,0.13467616,0.15026222,0.1607951,0.16386555,0.15753835,0.14334892,0.12340963,0.10097604,0.077265136,0.054603886,0.037145488,0.03232287,0.045659423,0.075835,0.11082817,0.13358447,0.1318052,0.10912659,0.08413982,0.08068075,0.1103434,0.16549622,0.22289117,0.2615389,0.27358946,0.2671462,0.25477973,0.244898,0.23699065,0.22340553,0.19679612,0.15432955,0.10437527,0.059144784,0.032046687,0.028465128,0.047060918,0.076989986,0.10379875,0.11710324,0.12098632,0.1283963,0.149446,0.17770152,0.20200497,0.21514486,0.22325271,0.22710477,0.22083212,0.19230549,0.14623117,0.101388484,0.081760466,0.093979515,0.12650207,0.15988515,0.18159844,0.18901825,0.18296897,0.1626316,0.12927438,0.08957509,0.05618455,0.037760932,0.037179735,0.05012091,0.07112574,0.091526605,0.102144785,0.095630564,0.07432165,0.04931901,0.03528802,0.04084539,0.06635813,0.10478711,0.1466605,0.1816057,0.20295618,0.2087502,0.20315535,0.19107945,0.1750763,0.15722555,0.14103372,0.13326426,0.1346095,0.141964,0.14877291,0.15357935,0.15614022,0.15621518,0.15408939,0.15062304,0.14589958,0.13415025,0.11077634,0.07747308,0.0443909,0.021219408,0.012652301,0.019321686,0.041894663,0.07900996,0.12460407,0.16607301,0.19325876,0.20095073,0.19370033,0.17548685,0.15159063,0.12413696,0.0999193,0.085669436,0.087006666,0.10338042,0.12962486,0.15910168,0.18553191,0.20192607,0.20101213,0.17682028,0.13371079,0.084091954,0.04562651,0.026572987,0.025141096,0.03083767,0.03517287,0.037164252,0.04315116,0.061629612,0.09031137,0.116949566,0.12282442,0.10345603,0.06749303,0.035634022,0.021497885,0.03201236,0.06071104,0.09561286,0.11926929,0.124781966,0.11797381,0.11592462,0.12869632,0.15242255,0.17238389,0.17573893,0.16079836,0.13926469,0.13081633,0.1523838,0.20097466,0.25332645,0.27682868,0.25915948,0.2118969,0.16320981,0.13268584,0.12696408,0.13858517,0.15458567,0.16190451,0.15656765,0.1469397,0.1432489,0.14648478,0.14342476,0.125199,0.095379055,0.07330606,0.07179929,0.09256852,0.123630665,0.15527664,0.1836542,0.20956808,0.23535943,0.2560462,0.2681483,0.26221016,0.24147946,0.21076827,0.1868834,0.17665762,0.17994648,0.18238002,0.17026328,0.13864018,0.095036305,0.053919166,0.02587249,0.015743347,0.02283308,0.045050085,0.077994406,0.114966966,0.14766313,0.16760331,0.1691258,0.15243445,0.12715454,0.10849881,0.10835675,0.12710498,0.15117902,0.16359664,0.15374811,0.13107373,0.11650785,0.1297923,0.16703866,0.20485716,0.2152158,0.19167604,0.15141366,0.12424881,0.123967625,0.14187731,0.15173005,0.14048967,0.11509067,0.09993661,0.10870538,0.13976042,0.17635293,0.20409389,0.21290223,0.20131011,0.1723919,0.13421385,0.09463019,0.059825677,0.032884244,0.015708826,0.009986739,0.018756047,0.046024892,0.09034727,0.14077981,0.17729783,0.1866703,0.17005788,0.14379255,0.12219695,0.11011681,0.101058386,0.08834504,0.071358934,0.058612783,0.061481897,0.08439914,0.11842326,0.14532775,0.15203382,0.14001136,0.1219287,0.108743556,0.10123233,0.09325264,0.07915268,0.05955709,0.040921587,0.03297317,0.04541388,0.08084316,0.13182779,0.17828687,0.20087384,0.19065946,0.16108976,0.1381043,0.14397298,0.17910147,0.22016412,0.23996471,0.22581293,0.18973929,0.15166765,0.12473681,0.10671156,0.08995414,0.071731545,0.058457766,0.060422152,0.08364979,0.12375331,0.16552849,0.18965434,0.18322949,0.14850594,0.10103846,0.061429087,0.044588525,0.05482031,0.085633494,0.12250426,0.14938198,0.15465763,0.13670848,0.103006355,0.06558601,0.034833446,0.015393623,0.007230923,0.008280651,0.017669613,0.034058433,0.05459332,0.07332647,0.08488832,0.086176015,0.079780824,0.07272133,0.07321388,0.08408476,0.09802347,0.10378757,0.094546966,0.0770207,0.06355008,0.06432953,0.07818714,0.096892126,0.11074283,0.1155723,0.11314876,0.108573854,0.10477575,0.10466459,0.10908616,0.120618336,0.13384266,0.14157426,0.13410155,0.11202874,0.080989145,0.051052615,0.02863644,0.018017694,0.02117317,0.03802456,0.06543008,0.09722089,0.12613809,0.14700824,0.15672295,0.15787525,0.1546054,0.15326887,0.15429334,0.15426768,0.14643869,0.12868066,0.10723925,0.09524097,0.10303155,0.1293835,0.16151524,0.18806879,0.20255564,0.20433538,0.18760075,0.15213247,0.10331905,0.057757575,0.027116673,0.017641807,0.02772344,0.052844632,0.08375725,0.106687576,0.11108441,0.09550575,0.07096628,0.05250114,0.050687935,0.06535328,0.08768529,0.108083606,0.122035764,0.13020833,0.1341637,0.1341061,0.13210602,0.13105567,0.13486074,0.14224856,0.15181555,0.15834938,0.15889335,0.14794149,0.12743104,0.10403002,0.09169646,0.09793467,0.12048936,0.1468984,0.16628969,0.17639948,0.1780108,0.1703434,0.14729255,0.11250844,0.07786736,0.06140549,0.06856821,0.09357503,0.12243954,0.14638507,0.16273235,0.17538571,0.18715106,0.19878148,0.20352888,0.19420584,0.16452323,0.12037667,0.07372803,0.040354837,0.026720917,0.03108492,0.04458673,0.058753084,0.06795003,0.069850594,0.065285556,0.058579344,0.05730516,0.0681848,0.0890176,0.10865273,0.11438652,0.10725408,0.10110881,0.10961884,0.13033189,0.14667161,0.14618617,0.13039066,0.11282188,0.10375484,0.10928743,0.130438,0.16759837,0.21155922,0.25018635,0.27160498,0.2786391,0.27783492,0.2758044,0.26926503,0.2533398,0.22450654,0.18327858,0.13528161,0.08992269,0.060110766,0.053866714,0.06991448,0.09666226,0.1194235,0.13006125,0.12891251,0.12188012,0.11112935,0.096452,0.077316664,0.059888195,0.052871943,0.06379596,0.09073999,0.122845374,0.1445585,0.1466334,0.13111484,0.1085546,0.088111885,0.072376974,0.05981585,0.050534174,0.047709953,0.051926736,0.05875206,0.059783664,0.05181959,0.0373435,0.023313701,0.013187785,0.007450449,0.0041677593,0.002372208,0.0014485792,0.0011048879,0.0009711164,0.00087973336,0.0007826079,0.00068455347,0.00063399575,0.00077545905,0.0013780877,0.0027504552,0.005082443,0.008145045,0.011177465,0.013190222,0.013795242,0.015132542,0.022320842,0.04230996,0.07624208,0.11585009,0.14325388,0.14516316,0.12043018,0.08313359,0.048865676,0.027010135,0.016603107,0.0130617125,0.012234398,0.013206755,0.018192435,0.033415537,0.06730983,0.124633856,0.19734776,0.26327515,0.2955928,0.2810812,0.22953112,0.16977859,0.1321991,0.13202769,0.16207874,0.19974601,0.22555996,0.23768036,0.25010732,0.27508453,0.30807534,0.33449665,0.34323224,0.3360437,0.31697324,0.2880163,0.2506969,0.21621394,0.20150101,0.21551335,0.24694896,0.26940277,0.26358733,0.23565225,0.2153898,0.23244429,0.29190767,0.37192988,0.44028494,0.4761012,0.47520372,0.44522896,0.40112314,0.36090025,0.34250224,0.34860513,0.3645271,0.3642409,0.33352807,0.28152144,0.2348146,0.21653296,0.22804125,0.25066578,0.2605449,0.24569787,0.21176033,0.17560023,0.15508981,0.15723138,0.17437167,0.19089204,0.19769944,0.20389847,0.22463895,0.26574168,0.31043878,0.33825406,0.33814737,0.31777182,0.28876317,0.26150164,0.24077891,0.22854988,0.22121292,0.21288548,0.20034982,0.18791859,0.18161277,0.18369782,0.18966722,0.19506927,0.20001209,0.21004878,0.23278971,0.270906,0.31920755,0.36260197,0.3856944,0.38064405,0.35033596,0.3030847,0.24676287,0.19140314,0.145615,0.115300216,0.09785146,0.091502465,0.09649371,0.11277131,0.13029212,0.13507932,0.12320051,0.108481534,0.11078747,0.13799962,0.17752586,0.20771849,0.21219987,0.19177414,0.15897764,0.13019,0.11463032,0.11515512,0.1311515,0.16209966,0.20320256,0.24367012,0.26927865,0.27333868,0.25919417,0.23778804,0.21603726,0.19509025,0.17257302,0.15118624,0.13822196,0.14028253,0.1571092,0.18280673,0.21015401,0.23188289,0.24267073,0.2433216,0.24523254,0.26200733,0.29639047,0.33354226,0.35157022,0.33578965,0.28678438,0.21801509,0.14898069,0.098409675,0.07644161,0.08167249,0.100506075,0.11742584,0.12345359,0.12240979,0.12173887,0.12310267,0.11888045,0.10187993,0.07445777,0.047924444,0.034709077,0.039811924,0.060088467,0.08542025,0.104815476,0.11021334,0.10093662,0.082274966,0.06302319,0.052706674,0.06015687,0.09027338,0.13870832,0.18923116,0.22134994,0.22406912,0.2078736,0.19683327,0.21003114,0.24155974,0.26616767,0.25808123,0.21307833,0.14762245,0.08592972,0.04570053,0.03623395,0.06451563,0.13218495,0.23017164,0.32781592,0.38802865,0.38268957,0.31658468,0.21815312,0.12747227,0.07317095,0.07095015,0.1201396,0.20654322,0.30146334,0.37502125,0.4085298,0.40164408,0.36292937,0.30604428,0.25035205,0.22295614,0.24371469,0.30990794,0.39437172,0.46627453,0.5070234,0.51474243,0.4915867,0.4422368,0.37292358,0.29804122,0.23497815,0.20193367,0.2095952,0.2565782,0.3229214,0.3791481,0.39825526,0.3734802,0.3167753,0.25494882,0.21618865,0.21918647,0.26292238,0.32395634,0.37229767,0.38564995,0.36151817,0.3104072,0.25086898,0.20113812,0.1727892,0.16524374,0.16810878,0.17362826,0.1829117,0.20181258,0.22842109,0.25192794,0.26129517,0.2543644,0.23552845,0.21007241,0.18227579,0.16027004,0.15070681,0.15421692,0.15986337,0.16122527,0.16022323,0.16685064,0.18060409,0.19060676,0.18427892,0.16183446,0.13833112,0.13118891,0.14711498,0.17467569,0.19704418,0.20765616,0.21549904,0.23070441,0.24927223,0.25680652,0.24677747,0.22865742,0.21701129,0.2115808,0.19983514,0.17135805,0.13483343,0.109100975,0.10576581,0.11656654,0.121403016,0.10831011,0.08381634,0.069385715,0.081744455,0.121621944,0.17069273,0.20570184,0.21036904,0.1867703,0.15208219,0.13187312,0.14050896,0.1729878,0.20223172,0.20371914,0.16921268,0.11642151,0.070219934,0.052202493,0.06899104,0.11358855,0.16625042,0.20361759,0.21092643,0.18866009,0.149103,0.10630074,0.0711763,0.051782716,0.05358459,0.0753879,0.106568135,0.13094907,0.13829589,0.12937027,0.11323234,0.09636485,0.08112523,0.06914816,0.06554281,0.07482249,0.09390533,0.111979015,0.11668297,0.103353836,0.07766529,0.052336216,0.039785698,0.04598255,0.06593409,0.086647004,0.093020536,0.080519594,0.055305596,0.030812763,0.014670256,0.007937784,0.006424108,0.0090951035,0.01851687,0.04090689,0.07537872,0.11375191,0.13846673,0.14264137,0.13269211,0.1354004,0.17382033,0.25491607,0.35423374,0.43463227,0.46955585,0.46235934,0.4350108,0.40656242,0.38139573,0.35589394,0.32749495,0.29535493,0.25766534,0.21428166,0.17031753,0.13684113,0.120464355,0.12066725,0.12626107,0.13020718,0.132309,0.14505054,0.17687012,0.22355962,0.2634883,0.27345857,0.24635057,0.19705999,0.15393639,0.13901566,0.15837865,0.19968714,0.24372715,0.2735888,0.28155577,0.2694977,0.24340709,0.21121179,0.17520736,0.13769013,0.098688096,0.06377938,0.03684545,0.022027632,0.020460585,0.03587902,0.07263818,0.13005008,0.1968223,0.25246432,0.2811663,0.28084907,0.2677903,0.26361465,0.2832925,0.32354942,0.36668238,0.39303324,0.39317536,0.3719051,0.33940855,0.30562475,0.27912092,0.26881325,0.2803305,0.30650544,0.33002332,0.33169675,0.30594477,0.26318988,0.22865452,0.22955664,0.28125337,0.3707818,0.46165076,0.5101847,0.49704835,0.435155,0.3672166,0.33380094,0.352698,0.4059246,0.4593883,0.48559764,0.47759667,0.4426144,0.3901905,0.33116165,0.28021324,0.2542558,0.25662193,0.27255324,0.27982748,0.27334136,0.26495448,0.26832026,0.28013277,0.28971782,0.29251412,0.2958466,0.30694342,0.32637027,0.3497347,0.37165722,0.3870381,0.39021945,0.38074803,0.3616049,0.33511412,0.2990672,0.25489795,0.21980911,0.21806915,0.26440933,0.34111524,0.41431376,0.45220682,0.45300892,0.42945227,0.39790472,0.358862,0.3119397,0.26095647,0.22247155,0.21378858,0.24621381,0.31444725,0.39621106,0.4603977,0.48503038,0.47194934,0.44140494,0.41523877,0.39817062,0.38269082,0.36061764,0.33411893,0.3074516,0.2821314,0.25898597,0.25035903,0.27201763,0.32917395,0.39922985,0.45021653,0.45846426,0.429366,0.38202783,0.33943257,0.31018266,0.293746,0.27768856,0.2509021,0.20585375,0.15242009,0.11090054,0.10806892,0.15268558,0.23341316,0.31788406,0.3819138,0.4140315,0.4198546,0.4015497,0.3620865,0.3074391,0.2560748,0.22779502,0.23199911,0.25978276,0.29305664,0.31717002,0.32794574,0.32634735,0.3115532,0.2806219,0.23415141,0.18306696,0.14608024,0.14009629,0.1645202,0.19908933,0.21729492,0.21119386,0.19668825,0.19972982,0.22780454,0.26757827,0.29461586,0.30134395,0.2941704,0.2901317,0.2941347,0.30537245,0.31588733,0.32281932,0.32443655,0.32250318,0.3203102,0.31862828,0.3169581,0.31396627,0.31638968,0.33280936,0.36628723,0.40649274,0.43612805,0.4428257,0.42644823,0.39579216,0.36181077,0.33139876,0.31284094,0.31171238,0.33327278,0.36931875,0.40925756,0.43618238,0.44432628,0.4310955,0.40545666,0.3743116,0.34500527,0.32563445,0.326547,0.3548492,0.3964077,0.42926762,0.43480027,0.41882262,0.39306584,0.3642162,0.3278704,0.28284165,0.24019295,0.2164375,0.22025953,0.24394377,0.27043548,0.2866788,0.2897818,0.28331426,0.26982015,0.2496,0.22397679,0.19863282,0.18083428,0.17523073,0.17773849,0.17874831,0.16895671,0.1481709,0.12459221,0.109003775,0.10814441,0.12214246,0.14570655,0.17006679,0.18832867,0.1984372,0.20358533,0.2054912,0.20241457,0.19023345,0.16769522,0.1380788,0.10741747,0.084460355,0.07564902,0.08501806,0.10893506,0.1407234,0.1728232,0.19971658,0.21887167,0.2242318,0.21229424,0.1793875,0.13675202,0.103741825,0.10872462,0.16595966,0.26656651,0.3748509,0.45194927,0.4811338,0.47410667,0.4562652,0.4416003,0.43134996,0.41756555,0.40120295,0.38903812,0.39365146,0.41590986,0.44603845,0.46718442,0.47064605,0.45379415,0.41778493,0.36552987,0.3140141,0.28603294,0.29521823,0.32304147,0.33718336,0.31819603,0.28498313,0.27313215,0.30123124,0.34782827,0.37041673,0.3422594,0.2752068,0.2098413,0.18522604,0.21284008,0.27393606,0.3323855,0.3609247,0.3523352,0.32602397,0.3091987,0.32214162,0.3588331,0.3954688,0.40425444,0.3758774,0.32038304,0.26213226,0.22178058,0.20791686,0.2125812,0.22625066,0.24829115,0.29021955,0.35384527,0.4220545,0.45912352,0.4429543,0.37649003,0.29631075,0.2420945,0.24216087,0.29319978,0.37580672,0.46445003,0.5416519,0.5958426,0.6200878,0.61660457,0.5950605,0.56990284,0.54517984,0.51624566,0.4738088,0.4211721,0.3731524,0.3522646,0.36962005,0.42252493,0.49056658,0.55092525,0.5831513,0.5808096,0.54701716,0.49662113,0.44814804,0.4234699,0.432878,0.47314987,0.5207781,0.5486674,0.5353926,0.47789273,0.39065087,0.29772136,0.22947295,0.20597452,0.2335347,0.28934798,0.3401806,0.35757947,0.34210178,0.31461048,0.29784495,0.29847434,0.30445278,0.2995401,0.27183738,0.22706616,0.18159306,0.15856348,0.1660083,0.19598927,0.22537081,0.2421787,0.25175628,0.27693224,0.32677636,0.38666058,0.41958547,0.40307972,0.34323797,0.27798912,0.242269,0.25198933,0.29066908,0.33264133,0.35438383,0.35266152,0.3349372,0.31647232,0.30572304,0.30607733,0.31446865,0.32645366,0.33520135,0.3362546,0.33374467,0.34189153,0.37214085,0.42052916,0.4666582,0.48962367,0.48063457,0.44571474,0.39833304,0.35138282,0.31443813,0.29392985,0.29410627,0.31161168,0.33297387,0.33814648,0.31657055,0.27430376,0.23394592,0.22089173,0.2521365,0.32523283,0.413478,0.47895375,0.49133432,0.44876766,0.37146673,0.29098547,0.23225228,0.20925356,0.2163047,0.23424888,0.24207343,0.23844905,0.23923706,0.26139712,0.3032243,0.346527,0.37148225,0.36850318,0.3416439,0.30218187,0.2632756,0.23255332,0.21156313,0.1952004,0.17681898,0.15052179,0.11840663,0.09157587,0.088769175,0.12292558,0.18965955,0.2641211,0.31651023,0.3318852,0.31771123,0.29165912,0.26683494,0.24445508,0.22145651,0.19248755,0.15710174,0.115958214,0.07750988,0.051112443,0.048268527,0.071139164,0.11246389,0.1528539,0.1754886,0.1754999,0.16551481,0.16077048,0.16675836,0.17408383,0.17098434,0.15346462,0.13018835,0.11374325,0.111958645,0.12163049,0.1350401,0.15010329,0.17335819,0.2100532,0.24987866,0.27051923,0.2527508,0.19904166,0.12985037,0.06993867,0.032104835,0.016745998,0.019804599,0.03929056,0.07420009,0.116189,0.14953186,0.1573335,0.13654019,0.10068018,0.073729716,0.0716525,0.09350723,0.1214552,0.13558741,0.12561148,0.09676376,0.06335274,0.040163156,0.035751853,0.048670653,0.06888484,0.08147996,0.07768222,0.06052466,0.04528697,0.05008493,0.085003495,0.14488934,0.20739101,0.2453423,0.24035144,0.19720782,0.13755031,0.090173714,0.07512581,0.09968213,0.15382445,0.21644096,0.26224598,0.27607682,0.25670242,0.21937877,0.1860143,0.17595787,0.1911081,0.21610682,0.22968715,0.2224127,0.19873273,0.16894414,0.13979898,0.11492398,0.095928885,0.08169321,0.06870303,0.053434204,0.036943953,0.02235745,0.014219466,0.016436428,0.035080876,0.07414005,0.13066383,0.19049357,0.23597904,0.25523308,0.24831735,0.22102356,0.18084528,0.13342981,0.08689606,0.04839554,0.023175916,0.010269457,0.007357981,0.013373689,0.031308707,0.063008465,0.10594692,0.15151678,0.18989389,0.21166472,0.21133344,0.18903488,0.15484805,0.123810105,0.107607536,0.10803684,0.120600484,0.14106171,0.16468142,0.18476944,0.19117731,0.17880552,0.1491953,0.11210656,0.07912785,0.06167135,0.06497202,0.08588762,0.11259872,0.13292837,0.13957141,0.13256942,0.11387515,0.0893808,0.06790989,0.064072385,0.08760031,0.13941388,0.20236534,0.251215,0.26279593,0.23783237,0.19974186,0.1817376,0.199346,0.24590977,0.29903978,0.34229395,0.36519012,0.3678385,0.34888422,0.31520262,0.27603543,0.24718152,0.2349122,0.23169325,0.22056401,0.19378607,0.1666398,0.16520207,0.20631957,0.28063804,0.36307207,0.42847684,0.46337435,0.46462107,0.4377865,0.3963772,0.35990182,0.33910713,0.33069226,0.31587926,0.28158787,0.22676921,0.16633534,0.11851355,0.09665924,0.103212215,0.12823997,0.15663451,0.17525847,0.18000089,0.17309119,0.16037844,0.1480004,0.14198999,0.14456569,0.15319793,0.16289604,0.1704935,0.17563097,0.17625003,0.16924737,0.15400124,0.13827394,0.13361765,0.14516771,0.16701716,0.18873417,0.20884131,0.23326468,0.2660096,0.29867673,0.32036817,0.327049,0.3263935,0.32458928,0.323027,0.31661576,0.30446258,0.2879866,0.27460626,0.27136683,0.28526738,0.31355417,0.34393117,0.35899982,0.3497766,0.322939,0.2924441,0.26946843,0.25240391,0.23934303,0.23161457,0.23847747,0.26019916,0.28587243,0.29625988,0.28053722,0.24389838,0.20465332,0.18608113,0.20283103,0.25412562,0.31972083,0.37149563,0.38864914,0.36838278,0.32641152,0.28660974,0.2705299,0.2853897,0.32061398,0.35692838,0.3760276,0.37323213,0.35086468,0.32295883,0.3030261,0.30400667,0.32141784,0.34095237,0.34534505,0.3327799,0.3094778,0.28385368,0.25441614,0.22345631,0.19321299,0.17230918,0.16197433,0.16816348,0.19293962,0.23366511,0.27365816,0.29565755,0.29667497,0.28802076,0.28313577,0.28426298,0.2865312,0.2873129,0.29000923,0.30210108,0.32459164,0.3532826,0.37959078,0.40219858,0.42375943,0.44562444,0.4559544,0.43892074,0.38967344,0.3278427,0.2825135,0.27083802,0.28460112,0.30261692,0.3081276,0.29834068,0.27987596,0.25935647,0.24010384,0.22155501,0.20353585,0.1836552,0.16050261,0.13465905,0.11465385,0.11188886,0.13237076,0.16845167,0.20232902,0.2184874,0.21415488,0.1997027,0.18808474,0.18425518,0.18287367,0.17425446,0.15329123,0.12296769,0.09361849,0.07815316,0.08680254,0.121560596,0.17148463,0.21629108,0.2352737,0.22264348,0.18963577,0.15993978,0.15137722,0.17058824,0.20925434,0.25789908,0.3051399,0.34646735,0.37229478,0.3804539,0.36691275,0.3425051,0.31355992,0.2893068,0.2626023,0.22904567,0.1853286,0.14525034,0.12510169,0.13680713,0.17388313,0.2180857,0.24964266,0.2613424,0.258777,0.25395593,0.2534256,0.2551684,0.25034836,0.23184335,0.19928779,0.16136806,0.1316667,0.12378311,0.14315873,0.18329705,0.22535662,0.2497114,0.24721403,0.2256412,0.20133525,0.18718809,0.18393509,0.18288428,0.17349754,0.1519351,0.12285668,0.0973235,0.086134225,0.09375262,0.115131356,0.13801776,0.1508211,0.14881593,0.13604437,0.121693514,0.11455226,0.11909195,0.13229613,0.14740618,0.1588433,0.16685297,0.1728627,0.17456318,0.16559117,0.14323382,0.11337417,0.08824917,0.079828404,0.09207413,0.121365875,0.15485789,0.18118425,0.19122279,0.18814749,0.1798107,0.18067764,0.20068038,0.24353349,0.2982293,0.34623674,0.37011656,0.37018955,0.35998118,0.35769272,0.36504623,0.37030146,0.35593238,0.3180031,0.26689544,0.21991952,0.18863106,0.17786688,0.19004183,0.22731614,0.28291512,0.33830035,0.3695282,0.36442268,0.32639602,0.27068493,0.21368498,0.17159401,0.15407325,0.16109477,0.17969413,0.19622499,0.2049389,0.21196462,0.22243339,0.23505838,0.23998947,0.23078007,0.20778954,0.18176164,0.16507584,0.16466595,0.17552783,0.18497168,0.18513308,0.17716713,0.16922408,0.16490082,0.16687411,0.1809171,0.21789591,0.28312206,0.36622688,0.4471,0.50545925,0.5335326,0.53195554,0.50702685,0.46575844,0.41569927,0.36778927,0.3332723,0.3206921,0.32344317,0.32186535,0.2966878,0.25013506,0.21002533,0.20697701,0.25105178,0.31992748,0.3795575,0.40420163,0.39248276,0.36167884,0.33445382,0.32843804,0.34483376,0.3765985,0.40523443,0.41971847,0.40851453,0.375592,0.32821438,0.28541145,0.26084957,0.2608923,0.27915958,0.3021724,0.3178127,0.31735572,0.30035344,0.27251205,0.24432619,0.22536285,0.21964103,0.2286284,0.2522265,0.28925845,0.33168444,0.37049866,0.40154722,0.43103027,0.4587076,0.47497082,0.4587209,0.40565225,0.32834175,0.25910857,0.21953122,0.21598758,0.23244579,0.25219697,0.26326475,0.2670792,0.26763675,0.27189124,0.28140646,0.29689527,0.31332555,0.32724676,0.33421335,0.33476898,0.3359649,0.35107478,0.39272904,0.45404592,0.51576716,0.55092,0.5531088,0.5224697,0.46997666,0.39857543,0.32087746,0.25032324,0.20539026,0.19244613,0.20436905,0.22252928,0.22633077,0.20743363,0.1673196,0.12079426,0.08227784,0.068018645,0.08300949,0.12309603,0.17022009,0.20506334,0.21442027,0.20143186,0.18070333,0.17044413,0.17902358,0.20230599,0.22599971,0.23705268,0.22830927,0.20291609,0.16998398,0.14455827,0.13757767,0.15199243,0.17650487,0.19852771,0.20982073,0.21270376,0.20785739,0.19374238,0.16723855,0.13360398,0.104775585,0.0941808,0.10767343,0.14120507,0.18250512,0.21939445,0.24466634,0.25944492,0.2664877,0.266547,0.25561365,0.23225911,0.20374191,0.18635492,0.19394886,0.2251767,0.2625544,0.28715023,0.29326585,0.29079875,0.291994,0.30100492,0.3100812,0.30789313,0.28815275,0.25700447,0.23135339,0.22659673,0.24642305,0.27615455,0.29818463,0.29911736,0.28266072,0.2551647,0.22608949,0.1974004,0.17441614,0.15927362,0.15377186,0.15363996,0.15492873,0.15469562,0.15049039,0.13920881,0.119026445,0.09603744,0.082438804,0.092000715,0.1284705,0.18496251,0.24431992,0.29095364,0.31265256,0.30973592,0.28937852,0.26596132,0.24554032,0.22605918,0.19810437,0.16132225,0.1255574,0.10519468,0.10439127,0.11403409,0.1191063,0.10990634,0.088084854,0.064337455,0.05326644,0.06672767,0.10766771,0.16686799,0.22484373,0.26246998,0.26977944,0.2515577,0.21899922,0.18472195,0.15630144,0.1406138,0.1387599,0.14552313,0.14763649,0.13520628,0.10836991,0.07754847,0.05603117,0.052499454,0.0700995,0.10227209,0.13706435,0.16017942,0.16655639,0.16009463,0.14913915,0.13792545,0.12529446,0.10935226,0.09099116,0.07530389,0.06795014,0.07120385,0.08102703,0.08921502,0.08956665,0.08413014,0.08348618,0.10006539,0.1356746,0.17661639,0.2006181,0.19626892,0.17335846,0.15523773,0.15950964,0.18442822,0.21556754,0.23584871,0.23695719,0.2173868,0.18360299,0.1465562,0.118019134,0.10337571,0.09845307,0.09655022,0.0963599,0.10422462,0.12443266,0.15219602,0.17573093,0.18648164,0.18376887,0.17127691,0.1526296,0.13193999,0.116792224,0.11450109,0.12698664,0.14642507,0.1609257,0.16036303,0.14443342,0.122501135,0.109048255,0.11308131,0.13169761,0.15279421,0.16312279,0.15890373,0.14869426,0.15393525,0.19445153,0.27384534,0.3660454,0.4288666,0.42841068,0.3628206,0.26088607,0.16343133,0.1043714,0.10075164,0.1535864,0.2438894,0.33699226,0.3912653,0.386875,0.34004557,0.29975665,0.307487,0.36328003,0.4203435,0.4258783,0.36796927,0.28756213,0.24159892,0.25755915,0.31353748,0.36681092,0.38500568,0.36972702,0.33875576,0.30896518,0.281865,0.25439206,0.231946,0.22817492,0.2559614,0.309153,0.36701727,0.40127924,0.39847612,0.36258188,0.31107107,0.25856656,0.2100652,0.16632177,0.13105951,0.116523,0.13294093,0.1839027,0.25462684,0.32225028,0.35798836,0.34925684,0.2979665,0.22870517,0.17075942,0.15222234,0.18212478,0.25149667,0.33725604,0.41526625,0.4682603,0.48718843,0.47480842,0.44067314,0.40142146,0.36529732,0.33577564,0.30874136,0.29039764,0.2911507,0.32355353,0.38203904,0.4430952,0.47058594,0.43997702,0.35750905,0.26294082,0.20680924,0.2138385,0.2692448,0.33259416,0.36986217,0.36817303,0.33337107,0.28135934,0.2289776,0.18783705,0.1557175,0.12413764,0.08769136,0.05202903,0.02538052,0.011130609,0.005798882,0.0048685945,0.0068564336,0.014223021,0.030685997,0.05760394,0.090949215,0.12341715,0.14984447,0.17072314,0.18893136,0.20417754,0.2127813,0.21348244,0.20975642,0.20693268,0.2040608,0.19552897,0.17426457,0.14261106,0.11132128,0.09704885,0.10674804,0.13468005,0.16378607,0.18182807,0.18538158,0.17860417,0.1646523,0.14364363,0.115994625,0.08563977,0.06339484,0.06386209,0.09959846,0.16964372,0.2560575,0.32976758,0.36989525,0.3735068,0.35570845,0.33169615,0.30807626,0.27996066,0.24322623,0.2001047,0.16146074,0.13647635,0.12678574,0.124729045,0.12414721,0.12645942,0.13785557,0.15893574,0.18008852,0.19139671,0.19008869,0.18355404,0.17791605,0.17558126,0.17363279,0.17250574,0.17274298,0.1763879,0.17826132,0.17420907,0.15817149,0.13275616,0.10090516,0.070733555,0.04661456,0.033271458,0.03250063,0.04918908,0.08859242,0.15216768,0.2294815,0.30016175,0.342755,0.34511396,0.31066635,0.25856778,0.22109579,0.22605473,0.28085136,0.36183164,0.4333613,0.46705034,0.45530352,0.40310836,0.3236297,0.23630337,0.16554274,0.12863584,0.124888815,0.13551863,0.1388271,0.12370613,0.096526206,0.074495725,0.07850212,0.121021114,0.20012753,0.29492897,0.3755089,0.41660845,0.41192186,0.37493792,0.32900643,0.29385805,0.2758907,0.26984143,0.26627302,0.26049215,0.25437877,0.2508216,0.25320008,0.26318383,0.28492007,0.31292725,0.33489215,0.33290797,0.30609402,0.26975954,0.25000784,0.25770667,0.28258672,0.29727015,0.2831333,0.24400793,0.20498748,0.1877476,0.19347923,0.20400505,0.20198552,0.18465032,0.16156451,0.1428889,0.1319321,0.12720595,0.12335327,0.1156229,0.098787226,0.07459133,0.04780203,0.027497016,0.019141184,0.027234778,0.050630987,0.08465213,0.117696546,0.1401036,0.14706929,0.14435129,0.1394803,0.13679999,0.13320915,0.124499895,0.11230146,0.103301354,0.10263071,0.10541496,0.10191006,0.08829116,0.07516554,0.08402476,0.12960692,0.21037066,0.3010815,0.37224773,0.39972153,0.38309038,0.33605227,0.27984506,0.22705697,0.18032001,0.13789077,0.10046026,0.074924394,0.068059064,0.08424151,0.12064155,0.16911244,0.21510887,0.2459296,0.2546489,0.24558164,0.22471648,0.19649257,0.16192329,0.12815757,0.10935054,0.11688308,0.14771366,0.18024927,0.19287348,0.17859071,0.15348063,0.13787915,0.14151187,0.15594567,0.16899388,0.1741898,0.17431504,0.17126775,0.16567554,0.15520619,0.14142396,0.12633577,0.117455386,0.12489747,0.1576882,0.21267974,0.26930985,0.3029649,0.2965372,0.25659958,0.20119773,0.15662408,0.1383264,0.15005338,0.17841506,0.20290937,0.20915814,0.19401807,0.1663206,0.13392349,0.10641611,0.09279113,0.10542333,0.1521955,0.2295347,0.32033503,0.39605367,0.4337784,0.42648515,0.39150605,0.3523289,0.32320145,0.2990807,0.26959878,0.23050833,0.18775523,0.14932658,0.12252342,0.11359679,0.12554924,0.1506421,0.17114335,0.17274351,0.1609993,0.15664941,0.17876692,0.22313239,0.27041963,0.2961776,0.29237095,0.26285398,0.22604306,0.19926949,0.1954335,0.21077247,0.23428996,0.2540331,0.2692151,0.28209612,0.29824442,0.31932592,0.3504008,0.38646328,0.41793633,0.42639717,0.40723112,0.36403856,0.31140524,0.25716236,0.20869614,0.17315184,0.16247727,0.18470679,0.23521583,0.2950834,0.33778206,0.3449864,0.31568205,0.26686877,0.21921073,0.18511242,0.16662036,0.16503707,0.18572116,0.23119517,0.29173422,0.34618756,0.37639427,0.37630233,0.35221496,0.31130072,0.26001632,0.2051834,0.16045122,0.14019422,0.14867844,0.17309214,0.19004808,0.18703431,0.1702043,0.15967728,0.16612975,0.18402906,0.19698429,0.19676717,0.19067197,0.19396259,0.21416438,0.24186893,0.26022816,0.25798938,0.24109028,0.2233444,0.21878324,0.22679861,0.23760729,0.23450823,0.21039361,0.17050004,0.13456582,0.12307628,0.14573713,0.19200397,0.23843388,0.2621408,0.2550755,0.2227192,0.17811848,0.13616155,0.114222795,0.12781566,0.18045445,0.25718388,0.33146453,0.38082358,0.39754316,0.3891054,0.3714007,0.3605729,0.36432183,0.37690374,0.38548735,0.38019347,0.36286363,0.33967862,0.31623137,0.29373506,0.27374625,0.2584673,0.2499581,0.24997938,0.25868154,0.27293158,0.28412652,0.28136072,0.25768054,0.2147166,0.16448702,0.12460852,0.11350643,0.13977355,0.1994949,0.27291557,0.3363347,0.36949742,0.36862943,0.3421819,0.30517662,0.2655152,0.22560315,0.18759854,0.16340601,0.1640098,0.1901447,0.22218172,0.23896891,0.22749525,0.19502129,0.15579967,0.12934549,0.1274465,0.15275697,0.19169493,0.22583668,0.24190737,0.238571,0.2201571,0.19171077,0.16245085,0.14628315,0.15468681,0.1825455,0.21184348,0.22753237,0.23301959,0.24244201,0.26232734,0.2828494,0.28767082,0.2704186,0.23899217,0.2088145,0.19217122,0.19399469,0.21229762,0.23982464,0.26476952,0.274391,0.26070943,0.22628652,0.18302661,0.14921878,0.14388299,0.17981863,0.2506672,0.32786486,0.37594116,0.38089478,0.36021486,0.34220126,0.33865452,0.33663896,0.32172737,0.29368162,0.26869336,0.25750422,0.25713146,0.25403062,0.24132042,0.22469,0.21557021,0.22022437,0.2353725,0.25376418,0.26866686,0.2794465,0.29199308,0.31383327,0.34217167,0.36020517,0.35276374,0.32572305,0.30676827,0.31699035,0.35167816,0.38301945,0.392966,0.38236776,0.36846855,0.35853323,0.3542128,0.3501298,0.3486859,0.34457457,0.33482978,0.31478807,0.2988276,0.2996523,0.32418588,0.3532995,0.36741343,0.354092,0.32727602,0.30578783,0.30345944,0.312855,0.31990993,0.31876493,0.3164411,0.3194064,0.3188777,0.30291614,0.27479836,0.25880346,0.27663007,0.32548442,0.37962198,0.41414145,0.42065123,0.4041504,0.36922908,0.32059667,0.2701771,0.23916419,0.24316113,0.27702817,0.31704894,0.33787557,0.330077,0.30050644,0.26271698,0.22828583,0.20817292,0.21315156,0.24941862,0.3047566,0.35524583,0.37533557,0.3631028,0.3292533,0.29058376,0.2525103,0.22315077,0.21598361,0.2435617,0.3002657,0.35804126,0.38709888,0.3753775,0.3379806,0.30400804,0.2941418,0.30624226,0.31472862,0.298027,0.25680408,0.22105813,0.22188766,0.26942384,0.342916,0.41074964,0.45221248,0.46754062,0.46681976,0.45655182,0.43360853,0.39472842,0.34211293,0.29032156,0.2601643,0.2722917,0.32975018,0.40885067,0.46796402,0.4731182,0.4251851,0.35640338,0.30947623,0.30484688,0.3351214,0.3746672,0.40174016,0.4075381,0.39582393,0.3769019,0.36100188,0.35081744,0.34060654,0.32001257,0.28884158,0.25577623,0.23693167,0.23784137,0.2550038,0.27361763,0.28432164,0.28297105,0.27453354,0.2626126,0.2545831,0.26071903,0.2904742,0.3372867,0.37632588,0.38180125,0.35191035,0.31313908,0.30361366,0.3402551,0.40794277,0.46308985,0.4674891,0.40761563,0.30475768,0.19385092,0.10748106,0.062350918,0.06410631,0.105247915,0.1698357,0.2334203,0.27937627,0.30164608,0.30572438,0.29454964,0.26887074,0.2315356,0.19479816,0.17643225,0.1875122,0.22627707,0.27455994,0.31145754,0.3186948,0.29834425,0.26474866,0.24096249,0.2334557,0.23502845,0.2288296,0.20987408,0.1843341,0.16597374,0.1623923,0.17185475,0.18438113,0.1909057,0.18903683,0.18266807,0.17684603,0.17788614,0.1931008,0.2268898,0.27181944,0.31014362,0.32685784,0.3191507,0.29669753,0.2688765,0.24347939,0.22623533,0.2233752,0.23553085,0.2540457,0.27203903,0.28748655,0.30554917,0.31881878,0.3157433,0.28962258,0.2570989,0.2433532,0.25927225,0.28952172,0.30291018,0.28161117,0.22960024,0.17035758,0.12534766,0.105545826,0.10761588,0.11961856,0.12777974,0.1236146,0.10912496,0.0946851,0.09047407,0.09722468,0.10541434,0.10518093,0.09757648,0.09264893,0.09968112,0.115974985,0.13275649,0.14158951,0.1426996,0.1410246,0.14268665,0.14944267,0.15674208,0.15754674,0.14806612,0.13346648,0.12405172,0.1283046,0.14549255,0.1667778,0.18015128,0.17823589,0.16030811,0.13245378,0.10282501,0.08033707,0.07276979,0.08803588,0.1292254,0.19196188,0.2603791,0.31616977,0.34442326,0.34206557,0.31303057,0.2654762,0.20747167,0.14850724,0.10074826,0.076600574,0.083322756,0.116521664,0.16049153,0.19617574,0.21261574,0.21108393,0.19984026,0.18360704,0.16296615,0.13798235,0.11638451,0.10717392,0.114546746,0.12923057,0.13786559,0.13247819,0.12044052,0.11508226,0.124648154,0.14325975,0.15926433,0.16435868,0.15875189,0.14702421,0.13514842,0.13027026,0.13689505,0.15248793,0.16470294,0.1622603,0.14340179,0.11904198,0.10088573,0.09375549,0.093121566,0.09264954,0.08813847,0.07978467,0.071026154,0.06931689,0.08369707,0.11763737,0.16457911,0.21021914,0.24807458,0.2802433,0.3134123,0.3396752,0.347888,0.33117595,0.30556348,0.2903978,0.29940212,0.32064196,0.33314526,0.3169936,0.276472,0.2313102,0.20339406,0.1967628,0.19956112,0.19776504,0.18566541,0.16837229,0.15136074,0.13730475,0.12353618,0.11161936,0.10701305,0.11615082,0.13459092,0.15036821,0.1532034,0.1456083,0.13678019,0.13150261,0.124711655,0.109630644,0.08651655,0.062746756,0.04506554,0.03496078,0.03034336,0.030914402,0.039738443,0.060500104,0.091141105,0.121802665,0.13939981,0.1372327,0.11880466,0.09376217,0.07056732,0.054416463,0.04937085,0.060489673,0.09443748,0.15459444,0.23654552,0.31712353,0.3654785,0.35735133,0.3057325,0.24891384,0.2281843,0.2472841,0.27757344,0.28163537,0.24977447,0.20502602,0.1864682,0.21528383,0.27944604,0.33750758,0.35642037,0.33402976,0.3039517,0.29586685,0.31196603,0.3234426,0.30593482,0.25978225,0.2101221,0.18316072,0.19103439,0.22996514,0.28409556,0.33235678,0.3532472,0.3389578,0.29735982,0.24937433,0.21276736,0.19777377,0.20379682,0.22424734,0.24712713,0.2619493,0.2648587,0.2617215,0.26189283,0.2709709,0.28506044,0.2942647,0.2879504,0.263962,0.22751011,0.1891588,0.15506627,0.12789862,0.10676517,0.095266126,0.10048774,0.13168432,0.18662767,0.24906997,0.2916477,0.2985439,0.27278844,0.23510371,0.20397352,0.18704627,0.17852889,0.16794197,0.14785205,0.121825635,0.10365025,0.11106551,0.15107623,0.21373872,0.27623764,0.31942084,0.3391185,0.34178796,0.33485782,0.31958732,0.29807284,0.27447483,0.25397813,0.23599418,0.21812122,0.20171298,0.19686222,0.21135895,0.24482091,0.2827231,0.3155478,0.33768758,0.35279444,0.35439256,0.3365582,0.29627767,0.24601978,0.20582037,0.19097464,0.20735596,0.24366336,0.28750753,0.31968105,0.33406934,0.32420954,0.29880288,0.2627212,0.22803926,0.1996379,0.18663563,0.19023551,0.20547037,0.21638049,0.21113558,0.19452597,0.18562697,0.20013078,0.23117448,0.25815046,0.26319268,0.2465323,0.21870218,0.19129944,0.17296104,0.17243028,0.19766676,0.24751134,0.30638686,0.35137,0.36672246,0.35455206,0.32713532,0.29596856,0.26584962,0.24315016,0.23683624,0.25026596,0.2701292,0.27288392,0.24387242,0.19017594,0.13627936,0.10524294,0.10696425,0.13382627,0.17068565,0.20227714,0.22360511,0.23637168,0.24652024,0.25350186,0.25439447,0.24494542,0.22763151,0.20833777,0.19393134,0.1878074,0.18703888,0.1847444,0.17289533,0.15103565,0.1276208,0.11619165,0.124859534,0.15001601,0.17817177,0.19366781,0.18769152,0.16429318,0.13971184,0.13269551,0.15151475,0.18937115,0.2343843,0.28168544,0.33285233,0.3823415,0.41334152,0.41073108,0.38229215,0.3524216,0.34273306,0.34757212,0.34904101,0.3327469,0.30868348,0.292997,0.29934192,0.3196102,0.33801123,0.33561265,0.31082568,0.27360407,0.23982753,0.21514,0.19675712,0.18236852,0.17787807,0.19111086,0.2212193,0.2533864,0.2701704,0.2637309,0.24413292,0.23022605,0.2327866,0.24570198,0.24982603,0.2362382,0.21371436,0.2068656,0.22785108,0.2676752,0.29815477,0.29953715,0.2716993,0.23487186,0.21089505,0.21256678,0.23406346,0.25850993,0.2638428,0.24293835,0.20368616,0.16901183,0.15484357,0.16505577,0.18721054,0.20578253,0.20972383,0.19859421,0.18010491,0.16275728,0.15278317,0.15284523,0.16796993,0.19756548,0.23176986,0.24808548,0.23185028,0.18820848,0.14255457,0.119662344,0.12471198,0.14457656,0.1592573,0.16533549,0.17203581,0.19239457,0.2200278,0.23736002,0.22965096,0.20206745,0.17011999,0.14522938,0.12701564,0.110750616,0.0977441,0.094352864,0.10564846,0.12458017,0.13931079,0.14025764,0.13551296,0.13879158,0.16152604,0.19455357,0.22182678,0.22694509,0.20988797,0.17675479,0.13828552,0.10046338,0.07211158,0.06336304,0.08358378,0.12991418,0.1837445,0.22122358,0.22748995,0.20695584,0.17397489,0.14605492,0.13366364,0.14118303,0.16154677,0.18337108,0.19482557,0.19468808,0.18614142,0.17695373,0.16963975,0.16470909,0.15555483,0.13772638,0.11289272,0.09451482,0.09727606,0.12781014,0.17709607,0.2281528,0.26348293,0.27633044,0.2688904,0.25086653,0.22930716,0.20974416,0.19299807,0.1803568,0.16814588,0.15409262,0.13675487,0.12287689,0.11781129,0.12231004,0.12827517,0.12895833,0.123725615,0.116193645,0.108777285,0.10054817,0.09476506,0.09638897,0.10940698,0.12647463,0.1363182,0.12974955,0.11202351,0.0990077,0.11200083,0.15998076,0.23197655,0.29491794,0.31649467,0.28311914,0.2133644,0.14158785,0.10128278,0.10564973,0.1464656,0.19971435,0.24124144,0.2590653,0.25477776,0.23542757,0.20654638,0.17571472,0.15710759,0.16848321,0.21587145,0.2861826,0.34841263,0.37367728,0.3483301,0.28541008,0.21602671,0.17559552,0.18220778,0.22826903,0.28366947,0.31600976,0.30456436,0.25247034,0.17809117,0.10712746,0.056140196,0.03177545,0.032065094,0.05334564,0.08732173,0.12010693,0.13655005,0.13405086,0.12725848,0.13698398,0.17124647,0.21934576,0.26467505,0.2987767,0.32057524,0.32868424,0.31867638,0.29597548,0.27596578,0.27639064,0.2983496,0.32855427,0.34979284,0.3536972,0.3402585,0.31232443,0.2744091,0.23578827,0.20888929,0.20300756,0.21408372,0.22866255,0.23096263,0.21443714,0.1812986,0.13924082,0.09687116,0.060814533,0.03619207,0.02612196,0.034423184,0.061522376,0.1003987,0.13824908,0.16954209,0.20862584,0.2750397,0.3694718,0.45929027,0.5062308,0.49931374,0.46223518,0.43246993,0.425833,0.43633494,0.43726423,0.4126189,0.35724962,0.28714254,0.2204625,0.17694084,0.16471112,0.1821019,0.21291351,0.24048834,0.25298774,0.2501373,0.23258771,0.20283467,0.16588598,0.13388683,0.11835135,0.121336915,0.13405164,0.14395292,0.14430071,0.1345226,0.11834451,0.09934997,0.08272353,0.07384408,0.07657707,0.08889588,0.104763776,0.12000499,0.13490292,0.14958827,0.15708768,0.1476127,0.1192553,0.08502942,0.065354146,0.07348608,0.10691047,0.15041901,0.18766743,0.20883037,0.21073766,0.19305573,0.15809388,0.11495177,0.07849075,0.06316563,0.072541006,0.10024509,0.13322061,0.16302323,0.18288974,0.19128756,0.18538769,0.16870983,0.14502253,0.12043775,0.09603787,0.07357184,0.056737695,0.055461686,0.08104425,0.13821961,0.21798559,0.29829577,0.35639098,0.3786712,0.36471525,0.32122186,0.26186562,0.20736182,0.18293129,0.20240362,0.25718454,0.31724593,0.35288024,0.35118043,0.32257178,0.2870873,0.26129118,0.24932526,0.24552059,0.24238752,0.23535989,0.22488113,0.21110131,0.19432783,0.17510642,0.15931356,0.15538774,0.16922937,0.19655477,0.22571456,0.24540468,0.25351703,0.253103,0.24578004,0.22699791,0.19302684,0.1469674,0.100833945,0.06907911,0.06316966,0.08350124,0.120795906,0.15601556,0.17496051,0.16999775,0.14842717,0.122422956,0.1075052,0.10933251,0.12360224,0.13983117,0.15427332,0.17311388,0.20221938,0.23684962,0.26079813,0.26150736,0.23802054,0.20281117,0.16907911,0.145709,0.13211563,0.124771096,0.11972264,0.11987769,0.131747,0.1613083,0.20396324,0.2447037,0.26482984,0.25349876,0.21418135,0.16129328,0.11420887,0.089250095,0.096126504,0.13346605,0.18614225,0.23043902,0.24428315,0.22272171,0.17864335,0.1359946,0.11262565,0.11363087,0.13059926,0.15141617,0.16640331,0.17480887,0.18097235,0.19298996,0.21199842,0.23513837,0.25207436,0.25746158,0.24598783,0.21952058,0.17927025,0.1338834,0.09270545,0.067605115,0.062682934,0.076102756,0.09795642,0.11928155,0.1323158,0.13476335,0.12469015,0.10401687,0.080134176,0.07018087,0.09616364,0.16758285,0.26965454,0.36002275,0.39808127,0.36621794,0.28536177,0.19604778,0.13922484,0.13504766,0.17324299,0.22040653,0.24126346,0.23121093,0.21740337,0.23481886,0.28989235,0.35405573,0.3876436,0.36865997,0.30927905,0.24559595,0.21483894,0.22998011,0.27130112,0.30510113,0.30838916,0.28624436,0.25998154,0.24937703,0.25342405,0.25672513,0.24081753,0.2055776,0.1658123,0.14384432,0.14796917,0.17138164,0.19918038,0.22386247,0.24767129,0.27570805,0.31046942,0.35214186,0.39498994,0.42411348,0.41827014,0.3728577,0.3087484,0.26147977,0.25014624,0.26686788,0.2884601,0.2963904,0.2832662,0.25054297,0.20530908,0.16156684,0.13251139,0.12394539,0.12764995,0.13200152,0.13069849,0.12820597,0.13094328,0.13881968,0.1439616,0.13701777,0.11551792,0.08467338,0.054299813,0.032374073,0.023218395,0.028028786,0.04985856,0.0905388,0.15095855,0.22149913,0.29194924,0.34668282,0.377534,0.37344015,0.33343872,0.26264176,0.18105741,0.11144971,0.07395288,0.076022275,0.11221742,0.16480355,0.21179672,0.23600465,0.23314983,0.20956807,0.17561339,0.13816623,0.10125878,0.067400925,0.040143713,0.022045776,0.015346199,0.02207548,0.043903276,0.07980241,0.12271891,0.16268633,0.18901421,0.19630563,0.18261081,0.15255974,0.11578074,0.087059654,0.07936343,0.095240794,0.125385,0.1527962,0.16748421,0.1688031,0.1648317,0.16042948,0.15606767,0.14727399,0.13190655,0.11153839,0.09500631,0.090679586,0.10161669,0.11779078,0.12562026,0.11569708,0.091522634,0.064111255,0.046871837,0.049387235,0.0725183,0.10716327,0.13731939,0.15302628,0.15344138,0.14477468,0.13006435,0.112322606,0.09786863,0.09628054,0.110036395,0.13058092,0.14517666,0.14781602,0.14131199,0.13056941,0.11665993,0.09841171,0.07801282,0.06311828,0.06213208,0.076804884,0.09924825,0.1167111,0.12120885,0.11570033,0.1113201,0.11777725,0.13388768,0.14838427,0.14879805,0.13392295,0.115890056,0.110425286,0.12476287,0.15211469,0.18217213,0.20693408,0.22510333,0.23282747,0.22457618,0.19553544,0.1495832,0.09853724,0.055801496,0.030087868,0.023316724,0.03362303,0.057061166,0.08718454,0.11551126,0.13381846,0.13887991,0.13298173,0.12141061,0.10784814,0.092515595,0.075107776,0.05845931,0.05063794,0.059505433,0.08780832,0.12903307,0.17231663,0.20467782,0.21736856,0.20597221,0.17613445,0.13942401,0.111135714,0.10272633,0.119605266,0.1592192,0.20902967,0.2537131,0.27850243,0.27855018,0.25288758,0.2078305,0.15420587,0.10967624,0.08972474,0.09950123,0.13058977,0.16583823,0.18842357,0.1886129,0.16792531,0.13807793,0.11434523,0.107466064,0.11753883,0.13699459,0.15394323,0.1590723,0.14633153,0.11782076,0.081102975,0.047385443,0.02352012,0.01083275,0.005748644,0.004548305,0.005428511,0.009977003,0.022853145,0.049112257,0.08816103,0.1292668,0.15657982,0.16206951,0.15517981,0.15394582,0.16749263,0.18504386,0.18871242,0.17142177,0.14529054,0.1285644,0.13021909,0.14381953,0.15586202,0.15567462,0.14048354,0.11393104,0.08365059,0.059210878,0.048484247,0.05429682,0.069912255,0.0836424,0.08425165,0.07254396,0.059850182,0.062523685,0.08867357,0.13470978,0.1903032,0.24381311,0.28651187,0.30784371,0.30258802,0.2753631,0.2486953,0.24971794,0.29123172,0.35557365,0.40371978,0.40414047,0.35771516,0.29925293,0.26988694,0.28731072,0.33248523,0.36829507,0.3685955,0.33857182,0.30531546,0.2953051,0.31290743,0.34359196,0.3667767,0.3765689,0.37938085,0.38715336,0.39737144,0.39863023,0.3770393,0.33328322,0.27778256,0.22473942,0.18344845,0.15938973,0.15870519,0.18436323,0.2331994,0.28736392,0.32459983,0.32512558,0.2881869,0.22966635,0.17810838,0.15680186,0.17152655,0.20707513,0.23870559,0.25188744,0.24905169,0.24339944,0.24144846,0.23930198,0.22839828,0.20894384,0.19196127,0.19189604,0.21223961,0.23903894,0.2502816,0.23455936,0.20217888,0.17478114,0.1648776,0.16523077,0.1595244,0.14065497,0.12031623,0.117527075,0.14439125,0.19347678,0.24663138,0.28251782,0.29039302,0.2696016,0.23175561,0.19361137,0.16974218,0.16210365,0.15954234,0.1489092,0.12881048,0.11040736,0.10497276,0.11096401,0.11811016,0.11983954,0.124352135,0.14554293,0.1903785,0.24782653,0.299186,0.33015144,0.34002987,0.33593604,0.3236593,0.30544904,0.27925336,0.24497783,0.20268649,0.15896153,0.12331468,0.10768557,0.11390749,0.13484235,0.15599768,0.17136769,0.18012978,0.18502136,0.1813476,0.16647452,0.14425251,0.12948573,0.13489707,0.16476738,0.20844717,0.24996305,0.27202627,0.26922664,0.24645884,0.21911895,0.19922186,0.19237661,0.19446741,0.19966656,0.20035452,0.191962,0.17185186,0.14625283,0.12639837,0.12406731,0.13947932,0.16209118,0.1765191,0.17531472,0.15970401,0.13897644,0.12225511,0.11852771,0.12910853,0.14725868,0.15869153,0.15454237,0.13989209,0.12913536,0.13027282,0.1352747,0.13064335,0.114952154,0.10239449,0.10876348,0.13366677,0.16173892,0.17423743,0.16404693,0.13694254,0.108354986,0.09404346,0.10234282,0.12773325,0.15442513,0.16810614,0.16565593,0.153886,0.14046593,0.1289426,0.120337784,0.11385519,0.10676354,0.094385125,0.07796637,0.066211395,0.07137964,0.096133135,0.13005017,0.1538089,0.15372652,0.1284195,0.09047105,0.056209963,0.039612543,0.04457578,0.066676565,0.09409565,0.115704,0.12441605,0.120441146,0.106987484,0.088288635,0.06712792,0.046506986,0.030226244,0.024176314,0.035440173,0.06741932,0.11317059,0.15386091,0.16876411,0.15187919,0.11749607,0.092762925,0.09439247,0.12198756,0.15779173,0.19080435,0.21921515,0.2530451,0.29314628,0.33406153,0.36293307,0.37268326,0.3581655,0.31992474,0.26585326,0.21493767,0.19214018,0.20891343,0.25634286,0.30552655,0.33642492,0.34627363,0.34970507,0.3540386,0.35342392,0.33417377,0.29005763,0.22767049,0.16348524,0.11767126,0.10598707,0.12929647,0.17078565,0.20455815,0.21535842,0.20342624,0.17830658,0.14490671,0.10605822,0.06696235,0.038466547,0.02949681,0.041733403,0.0677271,0.093642205,0.10660266,0.102082275,0.08864507,0.08045823,0.08614985,0.10088679,0.11121222,0.10716926,0.0905779,0.074704506,0.07182288,0.08406309,0.10013285,0.10745124,0.10335567,0.09845722,0.10664866,0.13178217,0.16482423,0.19051105,0.2005231,0.19882959,0.19515026,0.19531913,0.19382228,0.18478046,0.16774768,0.15268974,0.14564665,0.14398076,0.13643266,0.11613175,0.08600848,0.057111472,0.040504944,0.043599952,0.068129845,0.111887455,0.1647033,0.21259141,0.23901783,0.2379828,0.21363978,0.18076648,0.151483,0.13352302,0.13057686,0.14599891,0.17948608,0.21884239,0.24457443,0.23974,0.20682295,0.16413628,0.13403992,0.12527956,0.130836,0.13701516,0.1335754,0.11905011,0.09736091,0.07692616,0.064939655,0.06447346,0.07121243,0.07997072,0.09017382,0.10680929,0.13178468,0.16058291,0.1832729,0.19269341,0.18515988,0.16347134,0.13434568,0.10742909,0.087857485,0.074060455,0.060890403,0.046020254,0.031779695,0.021231076,0.015272669,0.012422517,0.011283004,0.011201281,0.012018788,0.013253711,0.014294117,0.0148488805,0.015103391,0.015471607,0.016102014,0.016944328,0.017633153,0.01779438,0.01685074,0.01460548,0.011215549,0.0075255074,0.0043479237,0.0022632745,0.0011994104,0.0008259313,0.00074124325]