[0.40260702,0.39756477,0.38671124,0.3717035,0.3524718,0.32772145,0.29820457,0.26644722,0.235758,0.20878357,0.18843716,0.17715943,0.17565398,0.18148313,0.19044149,0.19879341,0.20478451,0.20829402,0.20978397,0.2098257,0.20915075,0.20845477,0.20791523,0.2068793,0.20467688,0.20140666,0.19815175,0.19606106,0.19555962,0.19643158,0.1982954,0.20087701,0.20299011,0.20196259,0.19424838,0.17830975,0.15687563,0.13644572,0.123469286,0.12043903,0.12503503,0.132484,0.13871716,0.14188771,0.14204632,0.1402268,0.13761705,0.13532259,0.1339231,0.13365032,0.13423334,0.13529752,0.13627754,0.13689381,0.13785337,0.14117078,0.14971133,0.16482913,0.18494236,0.20503624,0.21938927,0.224254,0.2198165,0.20918958,0.19618632,0.1832952,0.17141156,0.16091257,0.15265758,0.14781152,0.14683892,0.14876713,0.15154882,0.15296859,0.151631,0.1474501,0.14179002,0.13659902,0.13328214,0.13153912,0.12983592,0.12648603,0.12114059,0.114820845,0.109095626,0.104793556,0.10228915,0.10234254,0.10700788,0.11655333,0.12764242,0.13252307,0.1256642,0.10704071,0.08320444,0.060881957,0.04383832,0.03188507,0.023660444,0.017944235,0.014024727,0.011361842,0.009502523,0.008148641,0.0074446616,0.008676167,0.014926841,0.030457744,0.05798003,0.095627785,0.13616103,0.17017533,0.19054978,0.19557364,0.18854032,0.17548291,0.16208214,0.15182596,0.14550443,0.14237069,0.14129084,0.1413935,0.14189391,0.14198577,0.14119081,0.13960509,0.13804738,0.13725291,0.13743356,0.1377935,0.1373304,0.1354354,0.1326127,0.12988107,0.12814796,0.12736742,0.12691064,0.12605812,0.12482295,0.12370614,0.12335998,0.124724925,0.12948863,0.14054032,0.15852515,0.18061264,0.19933432,0.20949984,0.20987046,0.20485745,0.19844328,0.193272,0.18953186,0.1871636,0.18584262,0.18503614,0.18390995,0.18144362,0.17744243,0.17315085,0.17142339,0.17433734,0.18152685,0.18993883,0.1970333,0.20235653,0.20734131,0.21276313,0.21813063,0.22239064,0.22514267,0.22672057,0.22755973,0.22749448,0.22508673,0.21753223,0.201905,0.17770232,0.14861375,0.12143123,0.102086134,0.09231333,0.08921042,0.088125825,0.0856654,0.081192605,0.07606264,0.072073735,0.070235245,0.07058788,0.072649606,0.075761296,0.07915545,0.08278651,0.088748395,0.10173872,0.12581745,0.1601045,0.19715919,0.22779101,0.24666156,0.25471625,0.25596404,0.25400576,0.25047502,0.24576962,0.24004509,0.2335999,0.22699475,0.22071242,0.21538027,0.21215999,0.21331687,0.2205116,0.2322607,0.24211758,0.2418199,0.22683208,0.20016432,0.17032005,0.14538097,0.12894231,0.11995709,0.11574454,0.11386913,0.112732105,0.11128909,0.110198565,0.11228949,0.12241136,0.14228575,0.16844742,0.19095199,0.20194967,0.19887958,0.18722595,0.17330174,0.16203202,0.15475143,0.1517844,0.15236466,0.15459996,0.15498723,0.14928354,0.13487439,0.113278516,0.09185665,0.08110399,0.08962075,0.117777765,0.15696631,0.19400628,0.21981783,0.23439151,0.24414627,0.25486663,0.26633713,0.2754124,0.28006002,0.2821398,0.28377497,0.28572166,0.2868874,0.28650823,0.28441462,0.2806742,0.27492687,0.2663107,0.2534614,0.23535208,0.21237166,0.1875438,0.16523933,0.14901309,0.13930905,0.13395123,0.12997289,0.12552974,0.12027622,0.114740334,0.109621845,0.105400674,0.102137744,0.09969333,0.09783872,0.09663687,0.09592836,0.095589735,0.09547674,0.09608755,0.09800667,0.10157076,0.10649019,0.11226005,0.118598044,0.12542927,0.13252115,0.13864474,0.14215215,0.14205082,0.13980384,0.13774793,0.13798195,0.14030384,0.14449269,0.14948492,0.15459605,0.15813491,0.16000403,0.1610871,0.16286415,0.16528459,0.16745456,0.16870113,0.16930395,0.1694634,0.1684407,0.16459103,0.1577499,0.15077151,0.14905168,0.15575503,0.16877627,0.18162243,0.18900813,0.19030572,0.18865716,0.18745124,0.18798749,0.18990876,0.1920019,0.19329375,0.19324873,0.19244556,0.19250304,0.19576205,0.20406343,0.21739316,0.23299523,0.24642034,0.25396508,0.25497207,0.2516373,0.2468646,0.24245323,0.2386179,0.23523553,0.2319622,0.22864394,0.22451393,0.21876462,0.21069384,0.20051374,0.18946654,0.17915624,0.1707669,0.16413294,0.15855731,0.15336551,0.14871363,0.14490254,0.14177807,0.13869934,0.13509807,0.13130724,0.12788868,0.12477242,0.12109697,0.11672446,0.11393989,0.115934014,0.123975195,0.13509284,0.14432271,0.14821552,0.14657165,0.14135699,0.13418005,0.12594856,0.11686068,0.10742406,0.09796915,0.08857876,0.07881278,0.068260975,0.057078198,0.047231454,0.04296367,0.05033787,0.07218643,0.10482603,0.13705488,0.15841341,0.16438639,0.15893024,0.14838572,0.13801914,0.12992418,0.12449434,0.12119344,0.1193276,0.11836145,0.117918916,0.11756888,0.11708281,0.116451494,0.11603392,0.11579305,0.115553446,0.11506972,0.11453124,0.11414099,0.11382102,0.11331191,0.11250427,0.111569665,0.110602945,0.10953183,0.1083303,0.10717958,0.1062252,0.10534271,0.10427464,0.10306554,0.10195223,0.10109311,0.10031348,0.0995526,0.099026985,0.09901739,0.09940507,0.09975814,0.099839985,0.09994248,0.10054574,0.10182723,0.103080094,0.10340708,0.102736674,0.1038656,0.11156577,0.13022958,0.15908729,0.19187284,0.21915531,0.23408628,0.23457426,0.22311313,0.20409197,0.1824414,0.16286573,0.14916529,0.14296295,0.1431335,0.14681895,0.1512927,0.15519416,0.15832244,0.16100906,0.16359806,0.16637409,0.16929187,0.17189403,0.1735428,0.17380019,0.17211199,0.16697729,0.15577412,0.13655707,0.11032131,0.08177189,0.056866784,0.039707784,0.030750802,0.028645212,0.0328307,0.045982767,0.07146537,0.1106643,0.1586528,0.20753534,0.24884938,0.27917722,0.29807484,0.30729452,0.3078415,0.30126527,0.29043618,0.27927148,0.27113187,0.26686895,0.26553687,0.2650886,0.26346132,0.2582402,0.24824828,0.23472144,0.2219851,0.21385694,0.21107744,0.20982015,0.2052746,0.19498701,0.18237422,0.17537658,0.18153258,0.20119868,0.22606961,0.24519241,0.2528353,0.2510176,0.24452774,0.23543967,0.22198941,0.20198135,0.17616294,0.14803194,0.12190199,0.10040396,0.08460014,0.074169375,0.068518825,0.06664578,0.06753906,0.06970202,0.07141299,0.07144147,0.07078332,0.07361583,0.08480731,0.10646988,0.13416277,0.15988393,0.17537712,0.17815661,0.17030656,0.15779804,0.14544094,0.13647766,0.1311237,0.129292,0.13122348,0.1383723,0.15104632,0.16686927,0.18124102,0.1903771,0.1941995,0.19575983,0.19856155,0.2036999,0.20996176,0.21552683,0.21978654,0.22324525,0.22641055,0.22881967,0.22945924,0.22767057,0.2237152,0.21836199,0.21228682,0.2059303,0.19936307,0.1920222,0.18209825,0.16765828,0.14825809,0.12651832,0.10651856,0.09199864,0.0847801,0.085737474,0.09409693,0.10663503,0.11697757,0.119104944,0.1114724,0.098690785,0.08854837,0.086737275,0.09392819,0.10526285,0.11398411,0.115104854,0.10936449,0.10218037,0.099914305,0.10450778,0.112757005,0.119174995,0.120187484,0.11518726,0.10520885,0.091561414,0.07590706,0.060989518,0.050015796,0.045248736,0.046399623,0.05108292,0.05601931,0.05927427,0.060652595,0.06163441,0.06325326,0.06512714,0.06490196,0.060376342,0.051163387,0.03955173,0.028685777,0.020711701,0.015799027,0.013112999,0.0127101345,0.016591296,0.028656384,0.05110225,0.08258497,0.116960146,0.14833593,0.17279331,0.19015121,0.20056315,0.2048604,0.20421706,0.20111538,0.19777717,0.19526528,0.19319822,0.19079053,0.18764448,0.18421154,0.18118061,0.17876552,0.17611074,0.17177667,0.16469972,0.15481941,0.14315332,0.1311798,0.12065091,0.11291984,0.10859119,0.10689718,0.106191255,0.10477585,0.10186544,0.09783255,0.09377629,0.09068627,0.08854482,0.086026914,0.08141431,0.073958576,0.0648356,0.056088537,0.04916377,0.043875102,0.039313767,0.03504174,0.03173317,0.030579468,0.032262016,0.03645009,0.04215711,0.04871459,0.05644555,0.06632333,0.079557836,0.09663994,0.11751977,0.14031114,0.16201267,0.17849807,0.18747787,0.1889212,0.18557741,0.18075092,0.1775381,0.17797333,0.18291426,0.19143069,0.20098573,0.20871638,0.2132525,0.21521384,0.21634568,0.21782221,0.21979715,0.22152323,0.22234303,0.22132874,0.21716857,0.2077897,0.19257087,0.17408347,0.15854129,0.15187307,0.15548594,0.1645696,0.17127067,0.1694841,0.15812224,0.1411285,0.12538639,0.11772096,0.12217083,0.13820904,0.16031754,0.18001175,0.18906063,0.18370251,0.16617519,0.14374454,0.12460983,0.11397778,0.11227167,0.11603365,0.12092975,0.12376642,0.12428462,0.12498442,0.13065879,0.14488368,0.16749746,0.19325142,0.21578735,0.23040976,0.23623823,0.2333855,0.22220583,0.20162684,0.17189062,0.13538255,0.09935389,0.07236837,0.061014872,0.06521656,0.0808984,0.10410065,0.13328068,0.1667583,0.19885147,0.22262307,0.23394316,0.23472579,0.2283959,0.21626039,0.19793785,0.17623498,0.1594124,0.15622751,0.16941245,0.19328374,0.21916677,0.24155883,0.26019815,0.27681708,0.29130238,0.3007159,0.30120516,0.29101732,0.27156696,0.24667215,0.22006494,0.19430609,0.17069139,0.15041848,0.13475467,0.12456465,0.11971268,0.11892229,0.120634526,0.123266496,0.12584995,0.12765916,0.12859029,0.12880392,0.12875779,0.12868011,0.12850128,0.12791972,0.12676843,0.12512985,0.12330278,0.12145326,0.11959731,0.11753509,0.11539775,0.11357683,0.11261893,0.11213178,0.11069564,0.10636986,0.09848397,0.08828634,0.07835761,0.07080856,0.06631767,0.06431542,0.06386829,0.0640379,0.06386816,0.062154785,0.057827454,0.050567348,0.04211389,0.03700829,0.041789982,0.06124759,0.09444935,0.13389973,0.17035498,0.19829126,0.21827851,0.23353715,0.24626644,0.25559518,0.25907272,0.25534856,0.2460386,0.2357618,0.22851707,0.22529413,0.22321391,0.21928735,0.21273196,0.20589735,0.20146336,0.20062672,0.20166905,0.20115572,0.19462053,0.17965762,0.1577022,0.13607115,0.12381714,0.12681665,0.14257713,0.16277699,0.17860289,0.18650259,0.18817715,0.18752514,0.18711607,0.18752092,0.18807267,0.18809104,0.18659638,0.18222201,0.17338593,0.16044362,0.14689064,0.13822722,0.13754551,0.1425267,0.14682615,0.1452199,0.1369289,0.12512533,0.114842355,0.11248594,0.12527412,0.15658246,0.20075953,0.24261689,0.26721776,0.2692831,0.25623792,0.23958816,0.22647582,0.21614248,0.20455252,0.18953018,0.17252348,0.15609705,0.14090957,0.1259083,0.11056378,0.0971218,0.08964584,0.09176805,0.10401997,0.12327369,0.14368124,0.15943493,0.16696191,0.1657175,0.15693025,0.1426401,0.12547687,0.108738124,0.095363826,0.086453855,0.08149604,0.07992033,0.08308432,0.09282925,0.1089682,0.12713341,0.14128508,0.1477037,0.1471409,0.14328565,0.13903968,0.13558361,0.13235784,0.12946598,0.12727587,0.12693356,0.12837748,0.1308435,0.13268651,0.13392979,0.1369675,0.14620519,0.16442095,0.18966238,0.21490473,0.2316895,0.23467736,0.22406507,0.2045852,0.18293108,0.16488695,0.15374164,0.15005344,0.15254521,0.15951686,0.16941325,0.18120538,0.1932214,0.2021399,0.20270653,0.19070555,0.16655818,0.13633178,0.10792196,0.08641096,0.07224516,0.06385822,0.06059533,0.06401819,0.07552553,0.094223775,0.11566237,0.13434903,0.14630224,0.1514147,0.15400855,0.1607859,0.17762089,0.20335625,0.23079641,0.249914,0.25686657,0.2532228,0.24292602,0.2262253,0.20181541,0.1710289,0.1398968,0.11572956,0.10203644,0.09728107,0.09785364,0.101813875,0.110770166,0.12727231,0.15137492,0.17738007,0.19597648,0.19881056,0.18406446,0.1572351,0.12871398,0.10858635,0.103683524,0.11609004,0.14345853,0.17888252,0.2122036,0.23422737,0.24138105,0.23721427,0.2278859,0.21718596,0.20462726,0.1886996,0.16995639,0.1518241,0.13796951,0.1300231,0.12671249,0.12551393,0.12455457,0.12418452,0.1262912,0.13254604,0.14221281,0.1523112,0.15916912,0.160387,0.15540145,0.14546366,0.13345292,0.12270527,0.115019776,0.10901003,0.10183712,0.092491515,0.084136546,0.081774935,0.08834747,0.10249709,0.12006279,0.13707262,0.15089197,0.16067784,0.16662966,0.17010252,0.17199564,0.17189844,0.16771798,0.1579632,0.14324816,0.12689957,0.1125635,0.10369054,0.103160225,0.11427144,0.13740629,0.16815424,0.19761248,0.21888983,0.23088117,0.23777609,0.24391496,0.25022343,0.2550266,0.25580117,0.25239626,0.24576946,0.23785985,0.22855629,0.21690977,0.20162208,0.18361516,0.16550188,0.15057243,0.14028515,0.13389826,0.1291907,0.12481868,0.12093253,0.11878306,0.118809395,0.12012124,0.120776825,0.1192813,0.11511549,0.1090444,0.10260925,0.098200716,0.098076284,0.103149325,0.11125011,0.11774218,0.117873214,0.11052758,0.09928336,0.091329336,0.093200505,0.10797415,0.13277751,0.16057558,0.18270464,0.19355084,0.19221441,0.18226077,0.16895957,0.15663664,0.14736591,0.14033294,0.13307665,0.12240755,0.106871925,0.08769155,0.07002299,0.060733497,0.0661371,0.0872043,0.12000549,0.15641136,0.18995476,0.21592884,0.23309939,0.24102522,0.24152716,0.23711526,0.23083062,0.2244293,0.21857512,0.21309651,0.2072407,0.19993563,0.18997602,0.17714153,0.16256511,0.14870822,0.13779527,0.13037209,0.12499062,0.11970087,0.113917865,0.10888851,0.106078476,0.1056298,0.10583272,0.10483095,0.10173925,0.09731474,0.0928769,0.08965075,0.08809372,0.088103,0.08909834,0.09039384,0.091323934,0.09151498,0.09076903,0.0890756,0.08646646,0.083498806,0.081486344,0.08264116,0.088788025,0.09992871,0.11321334,0.124544054,0.13162465,0.13639916,0.14373033,0.15742095,0.17671774,0.1971287,0.21363838,0.22409205,0.22888152,0.22931212,0.2251835,0.21462615,0.19582117,0.1697157,0.1418079,0.11987635,0.11029309,0.11388711,0.12644407,0.14111304,0.15285182,0.16003643,0.16445391,0.16853766,0.17383355,0.18014242,0.18677755,0.19294299,0.19826853,0.20236856,0.20500414,0.20602165,0.20530993,0.2029988,0.19923526,0.19537501,0.19586356,0.21026479,0.25063995,0.32158569,0.4132155,0.5023598,0.5686372,0.6033681,0.6105681,0.59662503,0.5676663,0.53076357,0.4945059,0.4657626,0.44579315,0.43250322,0.42281726,0.41520178,0.40903187,0.40467823,0.4028591,0.40408334,0.40772608,0.41239455,0.4164573,0.41905951,0.41953015,0.4175191,0.4124916,0.40501907,0.3963271,0.3882467,0.38158545,0.37653875,0.3731184,0.372839,0.37882772,0.39480546,0.42042193,0.44856632,0.46529087,0.45935687,0.4285545,0.3835812,0.3385177,0.3042258,0.28239954,0.27007362,0.26295647,0.25906333,0.25760785,0.25820383,0.26013437,0.26299402,0.26699015,0.27274475,0.28050348,0.2891251,0.2957228,0.29626763,0.28774095,0.269919,0.24595611,0.22118606,0.20378913,0.20563294,0.24161918,0.31848788,0.42535552,0.5296979,0.59755826,0.61172533,0.5883089,0.56106347,0.56417483,0.6043892,0.66187066,0.6972613,0.6793237,0.59840304,0.47380543,0.34007427,0.22999309,0.15898402,0.12370529,0.11083763,0.107664704,0.10860673,0.1169158,0.1450906,0.20807719,0.31215188,0.44321433,0.56996506,0.65729016,0.6825531,0.64230275,0.5512842,0.43659106,0.32695428,0.2423503,0.18781167,0.15788494,0.14366025,0.13810225,0.13857108,0.14812917,0.176885,0.23201787,0.30889097,0.38297042,0.42601106,0.42140743,0.37809527,0.31875867,0.26607624,0.23014116,0.20998062,0.19881439,0.18904078,0.17581593,0.15825969,0.14035971,0.12726149,0.12259119,0.12636465,0.13744201,0.15424298,0.17452842,0.19364397,0.2061158,0.20846851,0.2016521,0.18975306,0.17857641,0.17455375,0.18549722,0.21723114,0.26928845,0.33029652,0.38322744,0.41497552,0.42802426,0.43951643,0.46903682,0.52138734,0.579469,0.61645746,0.61333823,0.5733474,0.51513124,0.46185294,0.42577395,0.4079045,0.40036416,0.39641234,0.3927636,0.39096275,0.39193285,0.3951981,0.3977399,0.3984247,0.397949,0.39890316,0.40132952,0.40291664,0.40009758,0.39256087,0.383029,0.37560222,0.37133452,0.3684722,0.36411265,0.3579844,0.35220805,0.34980917,0.35319638,0.36510313,0.38935146,0.42610654,0.46718562,0.4941927,0.49023375,0.4501579,0.38719758,0.32213596,0.27235642,0.24249601,0.22812134,0.22142094,0.2171511,0.21307383,0.2090443,0.20552385,0.20350756,0.20422632,0.20909707,0.21851885,0.23123486,0.24400394,0.25333464,0.25742263,0.25709912,0.25490734,0.25398195,0.25942516,0.2797532,0.32506123,0.39834788,0.48791745,0.56789935,0.6126606,0.6130958,0.5860622,0.5629012,0.57003134,0.6083436,0.6550765,0.67638355,0.6488481,0.5689268,0.4548935,0.33611313,0.23854367,0.17303683,0.1352058,0.11448359,0.10271422,0.09821179,0.1067369,0.14198293,0.21826053,0.33763096,0.47918043,0.60562855,0.68127847,0.6872075,0.62567616,0.51524895,0.38640538,0.27071843,0.19105011,0.15299226,0.14835617,0.16262995,0.18200053,0.19891445,0.21381192,0.23689689,0.27651623,0.3316567,0.3838319,0.41240025,0.40514252,0.3690894,0.319276,0.26957795,0.22515744,0.18659087,0.15544468,0.13537066,0.12960632,0.13667017,0.15203452,0.1706273,0.18999684,0.20915335,0.22815448,0.24680114,0.26459977,0.27900577,0.28567508,0.2802873,0.26250732,0.23785202,0.21628004,0.20773433,0.21828187,0.24754411,0.2891082,0.33107293,0.36123073,0.372563,0.37165627,0.37702227,0.4104539,0.4787797,0.56545967,0.63537306,0.6568772,0.62118345,0.54823947,0.4709636,0.4150902,0.387127,0.3798425,0.38188875,0.38507023,0.3845813,0.37864998,0.36794505,0.35435387,0.340271,0.3271254,0.31627855,0.30732074,0.29978874,0.29257834,0.28655645,0.2821486,0.2803962,0.28152612,0.28737035,0.29802707,0.31123117,0.3214945,0.32636273,0.32934308,0.33982658,0.36594355,0.40765628,0.45365795,0.48475182,0.48481795,0.44911173,0.38875297,0.3215853,0.26357245,0.2200105,0.18858789,0.16398354,0.14366187,0.12810892,0.118444204,0.1146285,0.115169704,0.119296364,0.12719221,0.13906848,0.15326315,0.16643141,0.17582405,0.18054366,0.18160935,0.18009745,0.17866606,0.18405049,0.20934653,0.26757535,0.35972965,0.46673575,0.555823,0.60161567,0.60175174,0.580908,0.5711909,0.59356046,0.64047277,0.68426013,0.6908974,0.6412523,0.53793484,0.40479657,0.2751953,0.1763665,0.118676156,0.09469918,0.089689285,0.09051954,0.092915356,0.10335655,0.14053601,0.22297788,0.35384607,0.5059957,0.6348617,0.69791937,0.67792827,0.58361965,0.4454997,0.30145547,0.18422401,0.10879421,0.07140071,0.057945043,0.055134606,0.05600657,0.061291993,0.07881341,0.12050081,0.19109821,0.27865508,0.35324025,0.38583064,0.36523235,0.30586725,0.23335606,0.1697052,0.12369514,0.09399109,0.07510289,0.06203601,0.051970795,0.04366849,0.03704098,0.032738667,0.03241175,0.038604796,0.053120185,0.0752028,0.10024971,0.12216035,0.13611136,0.14129539,0.14016668,0.13693629,0.13634901,0.14380963,0.16607924,0.20734286,0.26487914,0.32508048,0.37190366,0.39757574,0.4118328,0.4339206,0.47881663,0.54564816,0.61853164,0.675639,0.69702435,0.674305,0.613565,0.53608114,0.46510756,0.41506007,0.38556924,0.36871997,0.3569374,0.34681472,0.33785176,0.33005384,0.32350877,0.31804526,0.31387088,0.31132114,0.31071296,0.31155312,0.31222758,0.31107715,0.30757713,0.3030431,0.29940453,0.2978305,0.29808053,0.2988018,0.29861417,0.29633835,0.29200706,0.28611276,0.27983335,0.27268264,0.26330933,0.24943693,0.23134978,0.21111016,0.1916769,0.17317092,0.1537654,0.13177468,0.108753,0.08826517,0.07329905,0.064157076,0.05927528,0.056827765,0.055577397,0.054858755,0.054414794,0.05439551,0.05512978,0.056603435,0.058461398,0.060189817,0.06174304,0.063341565,0.06531134,0.067618914,0.07014192,0.07274031,0.075372405,0.077753596,0.079433255,0.07993793,0.0791448,0.07715049,0.07428107,0.07095024,0.06793589,0.06613048,0.06631938,0.06848159,0.07187749,0.07528568,0.07792833,0.079620354,0.08082724,0.08207359,0.08369131,0.0855768,0.087224066,0.08815757,0.088279806,0.088498205,0.090440966,0.09591032,0.10536248,0.11740687,0.12930329,0.13887651,0.14564182,0.150797,0.15597875,0.16216575,0.16897607,0.17473042,0.17722547,0.17514165,0.16895431,0.1606785,0.15257509,0.14640953,0.14345004,0.14459008,0.14964098,0.15669173,0.1625519,0.1643657,0.16089036,0.15300298,0.14294086,0.13388075,0.12883234,0.13042784,0.13985722,0.15671945,0.1781839,0.19926752,0.21416259,0.21860282,0.21246101,0.19915257,0.18403119,0.17055707,0.1601316,0.15302902,0.15212083,0.16271019,0.18857257,0.22571011,0.26199546,0.2841227,0.28686228,0.27709153,0.27205685,0.29376167,0.357072,0.4576323,0.567245,0.6502996,0.6842646,0.67061734,0.62625575,0.5706721,0.51889735,0.47902277,0.45283386,0.43696752,0.42722782,0.4214776,0.41897556,0.41933715,0.42100048,0.42330006,0.42587665,0.429453,0.4338107,0.438156,0.44074142,0.44015288,0.4358722,0.42898166,0.42205784,0.41801706,0.4180794,0.42036942,0.42110384,0.41737294,0.41013345,0.40370643,0.4041605,0.4136292,0.4279631,0.43617055,0.42900988,0.40518245,0.3728952,0.341841,0.31636932,0.29448384,0.27200636,0.24723442,0.2223591,0.20214345,0.1898546,0.18297279,0.1744696,0.15837322,0.13753195,0.121587686,0.12098995,0.13778205,0.16613941,0.19570433,0.21821201,0.22960012,0.23013149,0.22472548,0.22221707,0.23537855,0.27198675,0.32944128,0.389724,0.4328768,0.44849002,0.44873044,0.4588171,0.5019471,0.57867247,0.66437656,0.7213655,0.7187523,0.64810586,0.5249192,0.3826392,0.25594035,0.16845419,0.12516838,0.1177198,0.13154107,0.15325123,0.17585951,0.20385022,0.2532778,0.33987856,0.4635034,0.5983047,0.7038157,0.7429066,0.7009942,0.5904272,0.4457476,0.30798456,0.20760535,0.15498318,0.14259122,0.1556377,0.17966117,0.20459478,0.22644013,0.24900019,0.2806054,0.32450536,0.3707149,0.39864585,0.39261636,0.35418224,0.30171373,0.25504717,0.2239192,0.20647882,0.19761944,0.19441523,0.1954652,0.19784991,0.19640307,0.18839021,0.17752273,0.17558742,0.19430898,0.2367338,0.2912102,0.3397026,0.3685803,0.3764433,0.36945426,0.35379896,0.33171594,0.30574778,0.2836827,0.27835745,0.29763654,0.33645484,0.37586316,0.3979497,0.39947298,0.39868024,0.4211221,0.48074093,0.5655063,0.6444669,0.68643904,0.67710966,0.6236461,0.54597783,0.46729168,0.40287265,0.35904706,0.3328489,0.3203096,0.31756532,0.32313594,0.33337295,0.3444986,0.35184184,0.35397044,0.35071912,0.34545338,0.34136143,0.34206572,0.34652928,0.35153005,0.3517379,0.346532,0.33880106,0.33558583,0.34112206,0.3565142,0.376878,0.39705575,0.4132836,0.42695853,0.43864596,0.4452004,0.43825737,0.41312972,0.37321028,0.32896352,0.28880417,0.25508025,0.22662582,0.20411916,0.19137579,0.19040775,0.19800498,0.20568013,0.20637678,0.19873323,0.1884952,0.18316644,0.18754996,0.20040984,0.21621136,0.22823955,0.23233055,0.22791576,0.21690588,0.20240164,0.18984465,0.18918365,0.21550864,0.27977458,0.37906265,0.48749414,0.5705332,0.6029106,0.5923355,0.5721752,0.5827626,0.6375735,0.71527547,0.7705643,0.7657353,0.6916303,0.57015437,0.43730578,0.3224151,0.23826335,0.18445207,0.15586637,0.14729594,0.15260392,0.16805238,0.19681199,0.2516637,0.34380057,0.46955422,0.6019637,0.70124096,0.7309324,0.6776161,0.5568511,0.4104303,0.28455707,0.2096207,0.18594827,0.19386572,0.20784925,0.21154507,0.19979404,0.18064623,0.1721574,0.19388789,0.25121567,0.3253989,0.38221514,0.39411822,0.35730287,0.29025015,0.21709056,0.15509507,0.1107228,0.08589173,0.08033038,0.093488455,0.122043826,0.16132694,0.2053457,0.2495588,0.2921175,0.33407378,0.37570247,0.4117761,0.43218532,0.42869434,0.4023315,0.36367252,0.32568708,0.2976184,0.28374854,0.28724328,0.310379,0.3513073,0.39873406,0.43487218,0.4446639,0.42921743,0.40763995,0.4071795,0.44380435,0.5111426,0.5842055,0.63283986,0.6381023,0.5981984,0.5306745,0.4600313,0.40669775,0.37617397,0.36285624,0.35764095,0.35457674,0.35215282,0.35127902,0.35343572,0.35857794,0.36461857,0.3685652,0.3676974,0.36038557,0.3475654,0.3330427,0.32339597,0.32206634,0.32841113,0.33721578,0.34538352,0.35144463,0.35572007,0.3577182,0.35910535,0.3636631,0.37511417,0.39156476,0.40528464,0.40628418,0.3900579,0.3590416,0.32064477,0.28099227,0.24460216,0.21571542,0.19915952,0.19579847,0.19952677,0.1998725,0.18996115,0.17093913,0.15137546,0.14160393,0.14956413,0.17660896,0.21626496,0.25600794,0.2834096,0.2930472,0.2875993,0.273392,0.25441638,0.23353188,0.21829699,0.22333653,0.26100072,0.32857776,0.4031451,0.45683035,0.47600135,0.47690094,0.4911101,0.5440615,0.628176,0.7094924,0.7441561,0.70685834,0.599191,0.44893083,0.29546353,0.17231244,0.095290445,0.06138234,0.060700487,0.08357642,0.12358358,0.17423256,0.23395622,0.30754396,0.40326047,0.5185657,0.6334999,0.7144933,0.73074317,0.67019343,0.54703254,0.39653206,0.25764623,0.15697718,0.10258388,0.08933995,0.1063416,0.1389915,0.17366862,0.2021761,0.22904222,0.2631602,0.3079286,0.35006773,0.3704686,0.3570253,0.31640074,0.26562768,0.2208932,0.1889282,0.16951358,0.16091639,0.16184427,0.1699789,0.17938155,0.18420458,0.18395285,0.18731721,0.20468533,0.23870325,0.27823552,0.3071996,0.31529322,0.30408898,0.2813125,0.25444508,0.22935134,0.21228002,0.21049233,0.22756498,0.26188734,0.3056241,0.35021695,0.38682187,0.4135548,0.43705967,0.47605443,0.54663974,0.64708143,0.74668044,0.8022955,0.7833788,0.6942875,0.56822103,0.44950667,0.36790618,0.3317118,0.3290507,0.3424439,0.35745466,0.3678378,0.37305084,0.3734586,0.36863437,0.35774708,0.3441507,0.33453095,0.3351091,0.3453534,0.3580741,0.3652574,0.3645304,0.35974047,0.356019,0.3544813,0.3526161,0.34683648,0.336912,0.32506183,0.31713057,0.31897572,0.33578387,0.36526492,0.39791226,0.41824803,0.41521862,0.38592112,0.33688602,0.27800038,0.22086649,0.17724413,0.15620697,0.15831335,0.17214052,0.1814308,0.17562272,0.15804128,0.14110988,0.1368975,0.1483168,0.16853249,0.1863509,0.19261645,0.18519358,0.16798444,0.149557,0.13796127,0.13977425,0.15758252,0.19466983,0.25465676,0.3402158,0.4422566,0.5374349,0.59687734,0.60688585,0.58470947,0.56816965,0.59087986,0.65163344,0.71827745,0.7456662,0.7075557,0.6060555,0.4710015,0.3437772,0.25788367,0.22416209,0.2286065,0.24771686,0.26346216,0.2725806,0.2833341,0.31129614,0.37027955,0.464362,0.5788905,0.68407947,0.7450864,0.7382708,0.66110134,0.5353031,0.3982664,0.28514007,0.21279006,0.17579891,0.15850256,0.14774501,0.13937007,0.13546915,0.14298189,0.1709706,0.22413667,0.29397097,0.3568137,0.38809726,0.37689972,0.33328244,0.27631405,0.2229891,0.18040965,0.14981745,0.1302671,0.121448524,0.12222105,0.1292565,0.13729544,0.14383441,0.1526999,0.1750636,0.21748514,0.27446875,0.32415736,0.34762275,0.3394889,0.31444755,0.289649,0.27575314,0.2724941,0.27787185,0.29237327,0.31774467,0.3506812,0.37952128,0.38973108,0.37383905,0.33853602,0.30004796,0.27364966,0.26356515,0.26408485,0.2654233,0.2627519,0.25708088,0.25369668,0.25698948,0.2687721,0.2875557,0.3088366,0.32712814,0.3375094,0.33898488,0.3332665,0.32429957,0.31494236,0.3067974,0.29947117,0.29150355,0.2817718,0.27011767,0.25807205,0.2473066,0.23961826,0.2362021,0.23775393,0.24366824,0.25142682,0.25738153,0.25835195,0.2534548,0.24408686,0.23243405,0.2209987,0.21269704,0.21190917,0.22108941,0.23873484,0.25798663,0.2723772,0.27816918,0.27543905,0.26380137,0.24302435,0.21434419,0.1829297,0.1551105,0.13512264,0.12249719,0.114112936,0.10703216,0.1006397,0.09540462,0.09098775,0.085917175,0.078993104,0.07080672,0.0632998,0.059171062,0.06128234,0.07216141,0.09159764,0.11492077,0.13404505,0.1427726,0.14058782,0.13240187,0.12392821,0.11867597,0.1180468,0.12236327,0.13087696,0.14027695,0.14619265,0.14515245,0.1370722,0.124634795,0.11240678,0.10561683,0.1078496,0.11860701,0.13164301,0.13897623,0.13578293,0.12453294,0.113040745,0.11109388,0.12543269,0.1559165,0.19382755,0.22582968,0.24242862,0.24295788,0.23325469,0.21844094,0.20036812,0.18017541,0.16141419,0.1480357,0.14073087,0.13610835,0.13047937,0.12312078,0.11623984,0.11199596,0.11031044,0.10943568,0.10788549,0.10660071,0.108248204,0.115561604,0.12829281,0.1435178,0.15694892,0.165725,0.16859114,0.16571993,0.15867287,0.15077662,0.14651203,0.14849384,0.15586875,0.1645803,0.17071144,0.17241354,0.17055845,0.16768372,0.16718853,0.17232747,0.18495868,0.20389056,0.22453183,0.24053793,0.24785799,0.24684896,0.2411242,0.23279642,0.22099715,0.20424742,0.18595831,0.17440534,0.17853379,0.20059071,0.23465045,0.26931712,0.29444197,0.30528116,0.3033898,0.29424098,0.28366816,0.2759839,0.27276254,0.27369234,0.2768806,0.28035018,0.2820446,0.2805092,0.27480707,0.26591244,0.25653818,0.24976538,0.24587367,0.24119963,0.23112375,0.21459484,0.19647521,0.18304403,0.17710657,0.17581159,0.17471355,0.1707893,0.16309415,0.15147692,0.13735516,0.12506376,0.12122635,0.13105349,0.15462768,0.18566011,0.21456812,0.23315103,0.23841791,0.23215963,0.21821396,0.1997122,0.17891566,0.15781005,0.13861708,0.12296117,0.112270884,0.107614495,0.11032378,0.11986244,0.13341342,0.1458271,0.15328963,0.15519173,0.15431094,0.15397666,0.15558368,0.15805459,0.15843485,0.15399177,0.14342354,0.12773947,0.10949552,0.09145352,0.076016255,0.06460523,0.058420766,0.05858205,0.06744776,0.08816388,0.12254435,0.1678598,0.21559219,0.2553165,0.27969924,0.28812787,0.28441828,0.27338564,0.25835264,0.24186145,0.2272432,0.21782579,0.21474098,0.21388479,0.2076932,0.18960728,0.15962285,0.12435073,0.092966534,0.07224164,0.06476081,0.07060411,0.08785503,0.112793826,0.13817956,0.15607879,0.16062392,0.15162657,0.13324459,0.11139518,0.09107473,0.07632157,0.07143242,0.08143061,0.10883773,0.15060912,0.19593073,0.2324224,0.2517307,0.25521335,0.24953939,0.24148166,0.23217517,0.21837847,0.19687669,0.16889596,0.14096119,0.12103511,0.114269376,0.11997057,0.13228066,0.14252253,0.14305778,0.1307968,0.10895931,0.08529376,0.06800238,0.06222299,0.06882767,0.08472703,0.10366482,0.11812168,0.12306046,0.11863435,0.1100528,0.103703655,0.104559936,0.11531816,0.13674939,0.16676818,0.1992885,0.2263897,0.24159364,0.24350286,0.2348852,0.22103523,0.20666468,0.19477022,0.18566872,0.17793334,0.170467,0.16494878,0.16637273,0.17952593,0.20465547,0.23531492,0.26266286,0.2804482,0.2879835,0.28701994,0.27884677,0.2629405,0.23951797,0.21132821,0.18382706,0.16277097,0.15200517,0.15232511,0.16176824,0.17606749,0.18973394,0.19759338,0.19691503,0.18836035,0.17556553,0.16337098,0.15581615,0.15471978,0.1592473,0.16694851,0.17486691,0.18063892,0.1817412,0.17598398,0.16160226,0.1400628,0.11533826,0.0940403,0.0818065,0.08333687,0.09896461,0.124165796,0.14810486,0.15963064,0.15308864,0.13247748,0.10732182,0.08712476,0.07785005,0.08253798,0.100845575,0.12777258,0.15350974,0.1688885,0.17057467,0.16302125,0.15380257,0.14943789,0.15302502,0.16473162,0.1815431,0.1974355,0.20490919,0.19847494,0.17776792,0.14814156,0.118163794,0.095840454,0.08625107,0.091381885,0.11031414,0.13871934,0.16865802,0.19159357,0.20234644,0.20113587,0.19101284,0.17484677,0.15438096,0.13207439,0.11183622,0.09811374,0.09430113,0.10281133,0.12465823,0.15798557,0.19594182,0.22910123,0.24992077,0.25720078,0.2541082,0.2453662,0.23384303,0.22086821,0.20606013,0.18887204,0.17017053,0.15316819,0.14172064,0.13720408,0.13752365,0.13904853,0.13997108,0.14148824,0.14573793,0.1522172,0.1565516,0.15365708,0.14241217,0.12780651,0.118154384,0.12036029,0.13546854,0.15752439,0.17578632,0.18083698,0.16977541,0.14762305,0.12282175,0.102507144,0.08967787,0.08436182,0.08565197,0.093874015,0.11102333,0.13834298,0.17355908,0.2097786,0.23911111,0.25630045,0.2612696,0.2581927,0.254055,0.25514182,0.2641399,0.27820632,0.29194757,0.3007754,0.30347565,0.30036652,0.29166064,0.27698937,0.2568355,0.23359603,0.21068461,0.19149597,0.17810564,0.17131329,0.17014496,0.17231035,0.17482083,0.17560066,0.1739707,0.17073803,0.1669309,0.16339697,0.16018562,0.15753688,0.15668465,0.1604421,0.17151941,0.18994653,0.21182446,0.23117113,0.24348737,0.24784403,0.24588782,0.23902428,0.22666232,0.20753925,0.18270035,0.15722786,0.13793723,0.12934415,0.13109523,0.1392572,0.14936103,0.15817548,0.16390075,0.16532272,0.1623144,0.15606107,0.14914326,0.14442818,0.14414294,0.14958544,0.1606861,0.17618208,0.19319032,0.20840703,0.21879871,0.22341193,0.2233079,0.22081132,0.21697474,0.21061282,0.19926453,0.18213512,0.1615675,0.14253466,0.12997209,0.12701623,0.13338761,0.14581896,0.15848635,0.16595796,0.1651296,0.15702164,0.14524662,0.13422419,0.12758137,0.1279157,0.13696617,0.15403971,0.1753424,0.19434702,0.20557015,0.20752065,0.20292138,0.19658917,0.19253539,0.19339533,0.19901355,0.20622681,0.20939016,0.20461434,0.19350553,0.1827433,0.17822106,0.18009897,0.1831037,0.18246613,0.1776223,0.17231178,0.1702408,0.17306203,0.17919372,0.18593974,0.19066985,0.19290888,0.19342004,0.19315165,0.19165528,0.18837242,0.18411422,0.18088432,0.179308,0.17619985,0.16667074,0.14879803,0.12788856,0.114385076,0.11668196,0.13357677,0.15312664,0.16042174,0.14854285,0.123754025,0.10093361,0.09215045,0.10021088,0.11867263,0.1404138,0.16167752,0.18299758,0.20436978,0.22724278,0.25847808,0.31259158,0.39993,0.513629,0.62531257,0.7018028,0.72257406,0.68868995,0.6158781,0.52631575,0.44301447,0.38407633,0.3573387,0.3568895,0.36921737,0.3818184,0.38844332,0.38845888,0.38298023,0.3745555,0.3664088,0.36225295,0.36335373,0.3672974,0.36932388,0.36589304,0.3577933,0.34935626,0.34517065,0.34675142,0.3524694,0.35951754,0.3659108,0.37133536,0.3774377,0.38747445,0.4042275,0.42607832,0.4453169,0.4500989,0.43224624,0.39194736,0.33944917,0.28793788,0.2476214,0.22104459,0.20563559,0.19735354,0.193411,0.19162555,0.18930054,0.18405245,0.17607002,0.16913126,0.168845,0.17863774,0.19677371,0.21632206,0.22932935,0.23139374,0.22415543,0.21310472,0.20451425,0.20368974,0.21608877,0.24772255,0.30091158,0.36875978,0.43201062,0.46994343,0.47467855,0.46520317,0.4746432,0.52847946,0.617745,0.70553595,0.74641615,0.715889,0.61800104,0.4825227,0.3492438,0.25195834,0.2052631,0.20195429,0.22192238,0.2453655,0.26303026,0.2792209,0.30891117,0.3695031,0.46899712,0.5961966,0.7190414,0.7972358,0.79892737,0.71813565,0.57685095,0.41861346,0.28643394,0.20489483,0.17030837,0.16157958,0.15707372,0.14731406,0.13575618,0.13311678,0.15247671,0.20093858,0.2735977,0.34906814,0.402127,0.41721174,0.3987695,0.3622776,0.3228905,0.28737494,0.25686273,0.23147435,0.21241455,0.20042479,0.19426008,0.19128393,0.19076192,0.19583386,0.21300799,0.24594009,0.29103982,0.3358499,0.3673356,0.37813863,0.37124738,0.35459945,0.3366308,0.32245573,0.31516352,0.31850496,0.33617544,0.369514,0.41155383,0.4494599,0.47047615,0.47568008,0.48102984,0.51029116,0.57103723,0.6469741,0.70098025,0.70448476,0.65146685,0.56430715,0.47295114,0.40191427,0.35888886,0.3406699,0.337368,0.3400747,0.34191808,0.3408984,0.33841512,0.3386329,0.3437467,0.353103,0.36201373,0.366814,0.36568984,0.3615631,0.35728407,0.35519195,0.35389876,0.35222447,0.3496671,0.34846652,0.3502885,0.35498688,0.3596287,0.36268756,0.36665562,0.3784218,0.40099987,0.42855453,0.44553354,0.43967664,0.40969673,0.36816505,0.32973054,0.30291852,0.285826,0.2707465,0.2500761,0.22041671,0.18459934,0.14945167,0.12318506,0.111180805,0.11512947,0.13213067,0.15609084,0.17836463,0.19133782,0.1912858,0.18011071,0.16330044,0.14636679,0.1342054,0.13305144,0.15436547,0.21092816,0.30732286,0.42915964,0.5446087,0.6195636,0.63727766,0.6110366,0.5770276,0.5732629,0.6129039,0.67525405,0.71929693,0.710632,0.64211774,0.5329615,0.41402364,0.30798164,0.223387,0.15850383,0.11125729,0.08133861,0.07044234,0.08228589,0.12673496,0.21417145,0.34494674,0.49787116,0.6363478,0.7227526,0.73432946,0.6694467,0.54720086,0.401908,0.27021348,0.1773576,0.12891303,0.115257,0.122138165,0.1382245,0.15851285,0.18311132,0.21821754,0.26858592,0.3311989,0.3873421,0.41436878,0.39869758,0.34902284,0.28740224,0.23659344,0.20724308,0.19819184,0.20174713,0.20955952,0.2159819,0.21794862,0.21514165,0.20992164,0.2086321,0.2203442,0.25005168,0.29244378,0.330788,0.3495452,0.3440521,0.32448208,0.30446747,0.29304695,0.29091215,0.29654607,0.31059718,0.3360509,0.37152287,0.40703204,0.4276389,0.42735335,0.41955224,0.43117717,0.48249388,0.56555194,0.64751744,0.6891034,0.6721611,0.60449815,0.51300615,0.424255,0.35600647,0.3133081,0.2940922,0.29130822,0.296972,0.30300966,0.30509117,0.30317172,0.30042896,0.29996,0.30322817,0.31033587,0.32039317,0.3310734,0.33888277,0.34087113,0.33630005,0.32712522,0.31646642,0.30857646,0.30615163,0.3102295,0.31709105,0.32321426,0.3264098,0.33127514,0.34341606,0.3657292,0.3907263,0.40406403,0.39286005,0.35489473,0.29980063,0.24090196,0.18909319,0.14981553,0.12641424,0.120851465,0.13354383,0.15993369,0.18960172,0.20873426,0.20888068,0.19329953,0.17642593,0.17293982,0.18793948,0.21432622,0.24018192,0.2564342,0.26014936,0.25153232,0.2325347,0.20854914,0.19251125,0.20171897,0.24669485,0.319666,0.39405778,0.44179526,0.4524677,0.4456389,0.45423546,0.50263876,0.5810283,0.65500885,0.68153375,0.6393828,0.53324866,0.39408144,0.2604145,0.16496496,0.12044877,0.119615875,0.1433838,0.17401473,0.20330518,0.23409003,0.277241,0.34375572,0.4379573,0.5472179,0.6452231,0.69722587,0.68029433,0.59218794,0.45822942,0.3174849,0.20788132,0.14949425,0.1421114,0.1696888,0.21088074,0.24737184,0.2708881,0.28510103,0.30230907,0.33298087,0.3750875,0.4112141,0.41960487,0.39029694,0.33300105,0.26949596,0.21918023,0.18982637,0.17844696,0.17705633,0.17801733,0.17609042,0.16920191,0.1586933,0.14980216,0.15088756,0.16857618,0.20201325,0.23984003,0.2666051,0.27202737,0.25709617,0.23096918,0.20447648,0.18513878,0.17749463,0.18482088,0.21119142,0.25662842,0.31397077,0.3652202,0.39434096,0.39755562,0.39551076,0.4168454,0.48106423,0.5746252,0.6629923,0.7065827,0.69011617,0.6219985,0.53050464,0.44266534,0.37689662,0.33637658,0.31660414,0.31051946,0.3137046,0.3231221,0.3358331,0.34858218,0.35891032,0.36667565,0.3735026,0.38079488,0.3872694,0.38909924,0.3831562,0.369853,0.35382977,0.340844,0.3350755,0.3371277,0.34444156,0.35290477,0.35892,0.36131784,0.36061028,0.3581202,0.35435024,0.34999606,0.346265,0.34466064,0.34433827,0.34067598,0.32736585,0.30163786,0.2678653,0.23521857,0.21185021,0.20008451,0.19678368,0.19639228,0.19464903,0.19020903,0.18456002,0.18027164,0.17912906,0.18111224,0.18475825,0.18827641,0.19084649,0.19319558,0.196941,0.20298694,0.2104932,0.21775132,0.22395028,0.22965498,0.23544085,0.24017756,0.24161874,0.23760657,0.22801383,0.21444677,0.20048779,0.18945318,0.1824619,0.17659207,0.1666175,0.14934684,0.12653813,0.10521648,0.09300038,0.09396874,0.104967944,0.11785385,0.12380508,0.11929513,0.1069437,0.09307391,0.08286685,0.07894873,0.08266985,0.095992334,0.12029008,0.15303558,0.18685977,0.21298964,0.2265457,0.22831826,0.22197981,0.21076046,0.19652437,0.18143274,0.16795488,0.15782654,0.1505994,0.1446685,0.13872613,0.13326465,0.13037314,0.13334835,0.1438715,0.16073292,0.17871827,0.19288032,0.20052187,0.20293762,0.20227511,0.20034198,0.19770639,0.19413047,0.18870498,0.17997165,0.16753645,0.1531347,0.14053595,0.13331147,0.13219225,0.13503309,0.1382212,0.13952844,0.13825576,0.13492094,0.13062552,0.12792407,0.13117605,0.14402576,0.16600336,0.19032472,0.20756228,0.21092945,0.20106064,0.18446808,0.16967057,0.16190167,0.16146044,0.16425572,0.16468394,0.15850341,0.14404134,0.12255717,0.09737131,0.07385346,0.058292236,0.05586074,0.06804511,0.09063519,0.11556103,0.13436861,0.14376904,0.14671314,0.14978026,0.15685433,0.16567586,0.1703294,0.16695613,0.15780187,0.14865448,0.14435937,0.14589554,0.15143377,0.1582941,0.16389214,0.16624306,0.1644692,0.15911882,0.15218347,0.1460071,0.14286424,0.14311461,0.14518912,0.14565031,0.14210312,0.13465035,0.12651753,0.12173169,0.123141564,0.13053565,0.14125574,0.15135057,0.15828027,0.16169415,0.16363429,0.1667007,0.17341089,0.18489747,0.20040275,0.21618177,0.2267918,0.22743545,0.21656694,0.1967573,0.1734935,0.15366541,0.14193378,0.13880087,0.13984878,0.14017676,0.13748632,0.13300504,0.12814513,0.123036645,0.11725551,0.112187624,0.111214906,0.117593825,0.13122784,0.14719923,0.15745537,0.15570246,0.14148735,0.12135929,0.10448802,0.09737473,0.09985239,0.10633872,0.110022955,0.10746682,0.100881465,0.09603337,0.0981813,0.10788257,0.12185838,0.13634129,0.15041827,0.16468787,0.17858694,0.18940122,0.19407146,0.19160265,0.1827998,0.1697519,0.15415978,0.13781357,0.121970646,0.10789905,0.09618795,0.086648464,0.07793111,0.06842523,0.057642266,0.047183547,0.03959106,0.036268607,0.036188502,0.036997106,0.036926415,0.035728414,0.034066483,0.032440543,0.030933104,0.029341048,0.027505314,0.02559442,0.024773248,0.027734295,0.037648175,0.055955928,0.08020527,0.10496956,0.124656655,0.13659447,0.14136972,0.14151682,0.13980152,0.13859628,0.139699,0.14393876,0.15072306,0.15809251,0.16512854,0.17527549,0.19981892,0.25355783,0.3453941,0.46515784,0.5842712,0.6663203,0.68746805,0.6454459,0.5606102,0.46314347,0.38117424,0.32880247,0.30563915,0.30147293,0.30549455,0.3104972,0.31412575,0.3170985,0.32111225,0.3267312,0.33221266,0.33514145,0.33444723,0.33175766,0.32941344,0.32865974,0.32864723,0.3278683,0.32514083,0.3203065,0.31409052,0.30819628,0.3045096,0.30429542,0.30790678,0.31616798,0.33063692,0.35116354,0.3727552,0.38605523,0.38351187,0.3643048,0.33445835,0.30130216,0.26974043,0.24206531,0.21979924,0.20437752,0.196061,0.1935641,0.19469838,0.19806074,0.20421167,0.21506047,0.23209715,0.2535455,0.2745013,0.28853622,0.2917675,0.28374314,0.26739246,0.24668199,0.22699602,0.21552838,0.22205366,0.2543181,0.31157985,0.37940788,0.4341662,0.45699883,0.4467106,0.4252166,0.42053378,0.45118406,0.5078494,0.5665005,0.5975914,0.5882568,0.5399503,0.47080287,0.4015225,0.34833738,0.31424364,0.2926691,0.275101,0.2578893,0.24408835,0.24113876,0.2591412,0.3059834,0.38199854,0.47402897,0.55879873,0.61137027,0.61702985,0.57652396,0.5057842,0.4288558,0.36688244,0.3293611,0.31184217,0.30401516,0.29739964,0.29020116,0.284932,0.28668985,0.30097565,0.33023512,0.369773,0.40579,0.42330933,0.4145069,0.3853731,0.34884003,0.31758758,0.29612818,0.28402162,0.2784735,0.27845109,0.28216037,0.2863449,0.28657117,0.28134772,0.27446246,0.27378324,0.28520843,0.30723262,0.32992217,0.3419253,0.3381786,0.32299587,0.30519584,0.29121187,0.28303358,0.27975652,0.28255343,0.2935008,0.31393394,0.3385149,0.3591855,0.3708346,0.38160706,0.40608704,0.45541123,0.52125716,0.5835809,0.61800545,0.61331004,0.56955856,0.5018424,0.43029258,0.3750781,0.34476802,0.33612084,0.33862272,0.34276715,0.3443556,0.34381643,0.34405255,0.34674883,0.3513887,0.35566488,0.35808563,0.35896882,0.3593963,0.35951877,0.3580791,0.3541132,0.3486037,0.34433544,0.34406105,0.34743991,0.35144377,0.35173574,0.3475326,0.34196043,0.34195092,0.3521998,0.37175968,0.3910534,0.3971884,0.38123307,0.34509602,0.2997928,0.25821048,0.22757018,0.20803721,0.19671226,0.19244522,0.19656323,0.20946081,0.22696437,0.24145167,0.24715297,0.24491608,0.2406378,0.24006899,0.24392052,0.2497497,0.2543567,0.25727865,0.25787815,0.25608453,0.25216657,0.25119206,0.26179942,0.29052866,0.33506182,0.381856,0.41454446,0.4230177,0.41177383,0.39862314,0.40481874,0.44227752,0.5026834,0.5635397,0.59753734,0.58865124,0.53531235,0.4526622,0.36309123,0.28752622,0.23572588,0.20626356,0.191361,0.18339568,0.17948915,0.18375342,0.20794614,0.26343012,0.35239634,0.45844838,0.5539542,0.60951406,0.6095688,0.5556018,0.4673897,0.37283945,0.29733208,0.25242284,0.23569925,0.23626964,0.24350381,0.24943258,0.25094143,0.24980448,0.25464377,0.27381763,0.30771053,0.34171224,0.35718012,0.34365383,0.3085306,0.26722437,0.23231721,0.20627038,0.1861064,0.16932784,0.15636991,0.14880137,0.14647333,0.14740308,0.15005977,0.15600275,0.17076653,0.19829194,0.2369818,0.2760956,0.30490482,0.31714284,0.316524,0.30895683,0.3004171,0.29431581,0.29394543,0.30196002,0.31679484,0.33483973,0.350165,0.36219144,0.37171137,0.3860381,0.41133675,0.4547255,0.5121258,0.57139784,0.61049384,0.61209196,0.56897384,0.49262178,0.40623483,0.33451796,0.29023185,0.27103165,0.26614204,0.26520166,0.2638682,0.26195475,0.26125816,0.26252925,0.2658932,0.27012876,0.27385482,0.27562618,0.27521226,0.2733841,0.2715169,0.27095017,0.2719839,0.27406073,0.27549255,0.27581337,0.27529934,0.27540585,0.27682373,0.28205597,0.29624555,0.32496262,0.3662528,0.40510002,0.41977265,0.3951532,0.33499518,0.25786147,0.18597995,0.13214561,0.0988368,0.08216853,0.078951634,0.0874758,0.10602807,0.12983803,0.15295766,0.17145753,0.18716674,0.20471822,0.22766669,0.25307962,0.27443436,0.28468168,0.28238896,0.27047467,0.2554241,0.24417858,0.24445434,0.2634292,0.30357614,0.3579494,0.40943956,0.4395407,0.44050476,0.42327437,0.41265786,0.4324713,0.488758,0.5640647,0.6252827,0.64286005,0.60617703,0.5285105,0.4363209,0.3535399,0.29019347,0.24368358,0.20712982,0.17714827,0.15401067,0.1416203,0.14693479,0.18372901,0.26259908,0.38191804,0.5149643,0.624504,0.6766586,0.6623011,0.5933324,0.49864975,0.40733528,0.33961448,0.29892743,0.27675402,0.26121774,0.24465543,0.22479771,0.20472716,0.19310243,0.20267284,0.24000514,0.29573095,0.343022,0.35513517,0.32245842,0.2594233,0.19024031,0.13518469,0.10323354,0.09703198,0.114043415,0.14687194,0.18190639,0.20727782,0.21822721,0.2199543,0.22001006,0.22386098,0.23183535,0.24196263,0.25060177,0.2538264,0.24762045,0.23066397,0.2060302,0.18243009,0.17061023,0.17896879,0.20876652,0.25383678,0.30247083,0.34082806,0.3592279,0.35921976,0.3589846,0.3829247,0.44300428,0.5233786,0.589751,0.6128877,0.5872717,0.5297655,0.46486926,0.4115293,0.37708178,0.36005053,0.3549089,0.3568144,0.36126316,0.36392674,0.3610724,0.3524786,0.34119222,0.33127448,0.32490954,0.32177994,0.32018554,0.3180691,0.31447056,0.30978754,0.3056854,0.30301192,0.30105388,0.29798177,0.29304346,0.28698128,0.28137,0.27705827,0.2742294,0.2723923,0.27077308,0.2681205,0.26324713,0.2554279,0.24425562,0.2292695,0.21030559,0.18857276,0.16728407,0.14992219,0.13844515,0.13193302,0.12822732,0.12521723,0.122074,0.11912161,0.11767704,0.11964593,0.12634039,0.13760114,0.15117699,0.16381963,0.17271812,0.17688797,0.17713119,0.17504178,0.17202209,0.16923983,0.16807587,0.17021972,0.17622918,0.18460941,0.19176216,0.19462173,0.19219433,0.18583561,0.17748988,0.1691059,0.1636234,0.16517995,0.17754652,0.19985442,0.22542955,0.2437834,0.24699576,0.23361588,0.20903449,0.18157613,0.15829109,0.14307986,0.13701548,0.14006157,0.15062004,0.16455732,0.1750409,0.17668073,0.16981208,0.16154103,0.16030656,0.16974597,0.18611379,0.20199585,0.21130562,0.21191312,0.2048362,0.19290042,0.17933495,0.16642691,0.15378296,0.139334,0.121869296,0.10365295,0.09015784,0.08787334,0.101029456,0.1290202,0.16544849,0.20130104,0.22859228,0.24452417,0.2504473,0.25082153,0.2492271,0.24684161,0.24091257,0.22659977,0.2009843,0.16618295,0.13003093,0.10146066,0.08730587,0.0899204,0.10803497,0.13684338,0.16905957,0.19798248,0.21939202,0.2325626,0.23717107,0.23337771,0.22090012,0.20089392,0.17513691,0.14716779,0.12178362,0.10402829,0.09695017,0.09957203,0.1078234,0.11601237,0.12008073,0.118314475,0.11147889,0.10103951,0.088574685,0.07570691,0.06421747,0.05539674,0.049272224,0.044768166,0.040574316,0.035927687,0.030755177,0.025494106,0.020887176,0.017636469,0.015981017,0.015502664,0.015454151,0.015283033,0.0148668485,0.01439331,0.014059436,0.013906796,0.0137985,0.013556637,0.013115325,0.012538649,0.011928395,0.01131656,0.010703154,0.010118361,0.009646438,0.009349919,0.0092233755,0.00922234,0.009314023,0.0094854245,0.009651496,0.009667404,0.009420666,0.008998065,0.008648406,0.008585767,0.0087839905,0.008964903,0.008828692,0.008258977,0.0074071963,0.006530334,0.005849373,0.0054577407,0.0053582634,0.0054660626,0.005639398,0.005717998,0.0056198593,0.0053593405,0.0050135907,0.0046571004,0.0043341164,0.004074125,0.0038789306,0.003756509,0.003697983,0.003696168,0.0036893988,0.003603196,0.0033876405,0.003099535,0.0028538157,0.002763005,0.0028309412,0.0029861124,0.0031862354,0.003554465,0.0044427235,0.0064991913,0.011118504,0.020631429,0.03745873,0.061873507,0.090767674,0.118862174,0.14214517,0.15941532,0.17182209,0.18023588,0.18482356,0.18496162,0.18087937,0.1738834,0.16642855,0.1609023,0.15852143,0.15920363,0.16189049,0.16545743,0.16888072,0.17182815,0.17485946,0.1789789,0.18466067,0.19085015,0.19601823,0.19923206,0.2012105,0.20314752,0.20582353,0.20907032,0.21224047,0.21467163,0.2157558,0.21500765,0.21176724,0.20502679,0.19405545,0.17917667,0.16287915,0.14833744,0.13832809,0.13310497,0.13139297,0.13090609,0.13025662,0.1290165,0.12772898,0.1269505,0.12669049,0.12644553,0.12570146,0.124231,0.12170861,0.11839217,0.11875003,0.13573419,0.18797563,0.28675133,0.42060876,0.5550738,0.64855385,0.67556477,0.6355048,0.5503864,0.45063034,0.36463165,0.30756223,0.280565,0.27431998,0.27825078,0.2852738,0.2925986,0.29969445,0.30660322,0.31308523,0.31805545,0.31990027,0.3175842,0.31178054,0.30482525,0.29931605,0.29662248,0.29631507,0.29701495,0.29763773,0.2982985,0.29987344,0.30280402,0.3064268,0.31029633,0.31640607,0.32912382,0.3508707,0.37734985,0.39734876,0.39958277,0.37989852,0.3436027,0.30096933,0.26150247,0.23104572,0.21152139,0.20219725,0.19982772,0.2003154,0.19970639,0.19643347,0.19136854,0.18789035,0.189713,0.19858779,0.21228473,0.22540952,0.23310693,0.23376381,0.22922486,0.22159983,0.21319507,0.20846458,0.21672171,0.24719416,0.30027297,0.3616775,0.4081507,0.42321694,0.40942213,0.3914524,0.39882115,0.44843546,0.5277896,0.6048985,0.6429019,0.6232316,0.5501926,0.44841543,0.34717762,0.26755643,0.215797,0.18714108,0.17348295,0.16799067,0.16683988,0.1713258,0.19113864,0.24097633,0.3289311,0.44351578,0.55421656,0.6262055,0.63712263,0.58581275,0.48939145,0.3774177,0.27935228,0.2144106,0.18414849,0.17799973,0.18218176,0.1877952,0.1931807,0.20343535,0.2278047,0.27153394,0.32879665,0.38049743,0.40616846,0.39586183,0.35716054,0.306412,0.25882825,0.22068696,0.19240926,0.17264964,0.16159457,0.15862657,0.1608995,0.16370626,0.16456293,0.16570221,0.17418657,0.19717883,0.23600411,0.28273383,0.3237997,0.34860238,0.35522735,0.349529,0.33919418,0.33064926,0.32856104,0.33610907,0.35203362,0.3707731,0.38345185,0.3856616,0.37844816,0.37441555,0.38890794,0.4349041,0.5055226,0.57767797,0.6200705,0.6154393,0.5666353,0.4944071,0.42245325,0.36730227,0.33306786,0.31573638,0.30786964,0.3033935,0.2981101,0.2915132,0.28602955,0.2861,0.29307207,0.3042737,0.3133881,0.31689504,0.31512094,0.31232977,0.31099704,0.31078807,0.30969253,0.30768678,0.3078339,0.31274283,0.32260185,0.333738,0.3431964,0.35009667,0.35798255,0.37035087,0.388224,0.40501416,0.41032282,0.39462566,0.35853374,0.31196424,0.26908442,0.23821379,0.2190821,0.20552886,0.19201134,0.17685883,0.16175194,0.14871289,0.13868494,0.13192545,0.13002495,0.13583027,0.15170611,0.17649184,0.2051955,0.23094325,0.24884933,0.25710014,0.25653407,0.24976921,0.24269505,0.24586327,0.26901782,0.3145169,0.37013677,0.41675636,0.43699238,0.43014398,0.4128798,0.41389915,0.45319876,0.5271289,0.60528946,0.64901084,0.6334946,0.5620672,0.46067914,0.36206177,0.2874345,0.24026537,0.21149756,0.19102395,0.17432062,0.16345224,0.16597527,0.19494116,0.2622546,0.36874536,0.4936246,0.6022474,0.6605881,0.6533091,0.5863593,0.48320317,0.37385735,0.28422472,0.22757845,0.20221949,0.19732352,0.20034212,0.20342839,0.20569213,0.21391411,0.238312,0.28415933,0.34297657,0.3935655,0.41431665,0.39774832,0.35440335,0.3033254,0.25898698,0.22543675,0.19983053,0.17956053,0.16514657,0.15880126,0.16073906,0.16843802,0.17871211,0.19084811,0.2082197,0.23466718,0.27020642,0.30677512,0.33354887,0.34267855,0.33582166,0.32008398,0.30401608,0.29376963,0.2940589,0.30857655,0.3359703,0.3701265,0.3998057,0.41868916,0.4252638,0.4287022,0.43955302,0.46999332,0.5191386,0.5756379,0.61484367,0.6185279,0.58134896,0.51889896,0.45347038,0.40292647,0.3708438,0.35011038,0.33176985,0.3113604,0.2910171,0.2744566,0.26438966,0.26047578,0.26175335,0.2664018,0.27170697,0.2741929,0.27205738,0.26707482,0.26280198,0.26259175,0.26691046,0.2748742,0.2837645,0.29170796,0.2969029,0.29971406,0.30149183,0.30625916,0.31965435,0.34578243,0.3817445,0.41462818,0.4282794,0.41287473,0.37262776,0.321555,0.27443218,0.2384408,0.21225323,0.19112813,0.17201084,0.15580505,0.1447979,0.14028956,0.14155681,0.14760382,0.15879144,0.17665364,0.20189732,0.23154835,0.2592782,0.2779597,0.28432414,0.27975202,0.26896772,0.2574903,0.25208062,0.26112255,0.2904623,0.33716705,0.38585255,0.41729486,0.42101005,0.40476644,0.3902053,0.398465,0.43807492,0.49808976,0.5563518,0.5861357,0.5721242,0.5145181,0.43349504,0.35489678,0.29861987,0.26808524,0.2557691,0.25157794,0.25012383,0.2518547,0.26182273,0.28933394,0.3425784,0.4228089,0.51555043,0.59540516,0.6342499,0.61764735,0.54957753,0.45248726,0.3547226,0.27875653,0.23229735,0.21016748,0.20161058,0.19784097,0.19576754,0.19872563,0.21500026,0.2516778,0.30677125,0.36432394,0.4018863,0.40410292,0.37339917,0.32628772,0.28097916,0.24682002,0.22361821,0.20766948,0.19694024,0.1911499,0.18991621,0.19149758,0.19465417,0.19898129,0.20503962,0.21221018,0.21929537,0.2247432,0.22840524,0.230958,0.23335385,0.23546399,0.2356442,0.23283337,0.22888474,0.23045562,0.24384594,0.2692771,0.2976068,0.31581318,0.31745765,0.30938318,0.31377625,0.35303774,0.43481016,0.536887,0.62102956,0.6526314,0.6233588,0.54943556,0.46130356,0.3863559,0.3396648,0.32123426,0.3219947,0.3308171,0.34002447,0.34589612,0.34899023,0.351828,0.3568765,0.36373082,0.36981502,0.3724177,0.37079766,0.3660283,0.36053422,0.35675338,0.35654488,0.35912225,0.36203444,0.3624853,0.3605056,0.35810256,0.35767388,0.3594111,0.36169314,0.3617758,0.3579885,0.35061768,0.34273782,0.33677614,0.33099708,0.3174047,0.28775173,0.2407756,0.18611924,0.13762988,0.10495318,0.08840561,0.082755245,0.08204488,0.08283716,0.083887994,0.08577233,0.09083585,0.10136338,0.117460646,0.13515502,0.1491901,0.15604593,0.15623838,0.15234683,0.14696927,0.14136252,0.13608503,0.1313311,0.1271912,0.123524606,0.12017107,0.11712808,0.11438794,0.11191956,0.10934293,0.10626406,0.10236154,0.09776164,0.092843495,0.08807426,0.08364684,0.07964114,0.07603244,0.07291487,0.0702687,0.06831553,0.067925,0.07079023,0.07792338,0.08806268,0.09741216,0.10252439,0.102627434,0.09994199,0.0969015,0.09442141,0.09194434,0.08888025,0.08522743,0.081258565,0.07723113,0.073430054,0.07040966,0.06863763,0.06824017,0.06875518,0.06976893,0.07119303,0.07372105,0.07837097,0.085862674,0.09572852,0.106132776,0.11504477,0.12142339,0.12588696,0.12955081,0.13314037,0.1364849,0.13917893,0.14074117,0.14042872,0.13675818,0.12812066,0.11428752,0.09770849,0.082974136,0.07420286,0.07273871,0.07663774,0.082774766,0.08879743,0.094099194,0.09906318,0.10422772,0.10982903,0.115746774,0.1216805,0.1270342,0.13091727,0.13194329,0.12850143,0.119594574,0.10596641,0.09053574,0.07709245,0.06831208,0.0644451,0.0639702,0.0650419,0.06652266,0.0679735,0.06926015,0.07035312,0.071281075,0.072115056,0.07285037,0.07343161,0.073777795,0.07384571,0.07356279,0.0728404,0.071665645,0.070201784,0.06874687,0.06749188,0.0663797,0.065133534,0.063507795,0.061452318,0.05912654,0.05677141,0.05459565,0.05272587,0.05117983,0.049861867,0.04859659,0.047232896,0.045723144,0.04414623,0.04263264,0.041320633,0.04030481,0.03968179,0.03952978,0.039907258,0.040724177,0.041696083,0.042379275,0.04241262,0.04174378,0.04070079,0.03978264,0.039341297,0.03935847,0.039490703,0.039327312,0.038675535,0.03766382,0.03662022,0.035846844,0.035479892,0.035448566,0.035522547,0.03538559,0.034809526,0.033828955,0.032773666,0.03207453,0.031952694,0.032273177,0.032606598,0.032531016,0.031861693,0.03079298,0.0296964,0.028906139,0.028448073,0.028108632,0.027526679,0.026461199,0.02488062,0.02304426,0.021344991,0.020121695,0.01945769,0.019170599,0.01893247,0.018455923,0.017650774,0.016661054,0.015777366,0.015225325,0.015036027,0.015048659,0.015039493,0.014815497,0.014257204,0.013371684,0.01232526,0.011381581,0.0107032955,0.010201911,0.00959357,0.008626928,0.0072870287,0.0057960786,0.004449648,0.003422944,0.0027033703,0.002166213,0.0017078193,0.0013111605,0.0010149109,0.0008426721,0.0007732078,0.00075784425,0.0007526344,0.0007354897,0.00070315803,0.0006646164,0.00062911306,0.00060232,0.00058246875,0.00056495186,0.0005455212,0.00052317994,0.0004982002,0.00047092978,0.0004411363,0.00041000606,0.000378042,0.00034493432,0.00030848492,0.0002690682,0.00022961471,0.00019493383,0.00016729122,0.00014622642,0.00012945583,0.00011485526,0.00010066505,8.594199E-05,7.133005E-05,5.922398E-05,5.1682204E-05,4.8223214E-05,4.5567853E-05,4.0502866E-05,3.238414E-05,2.3330123E-05,1.6037231E-05,1.1768097E-05,1.0084132E-05,9.61605E-06,9.183339E-06,8.190137E-06,6.7959504E-06,5.5541655E-06,4.925141E-06,4.9646533E-06,5.2932373E-06,5.5167393E-06]