[0.21729612,0.20885138,0.18954754,0.16335124,0.13643195,0.11369058,0.097595215,0.08734876,0.08155086,0.07934592,0.08092539,0.086040944,0.093190014,0.099692434,0.103465825,0.10407113,0.10270729,0.100628056,0.09858952,0.09701411,0.09697769,0.09957684,0.104998715,0.1113647,0.11598766,0.11686032,0.114314534,0.11013583,0.10636867,0.10371459,0.10209461,0.1012762,0.10221794,0.10589355,0.11258147,0.120290674,0.12652639,0.12932336,0.12898159,0.12689018,0.124901004,0.123848945,0.123144455,0.11991584,0.110439114,0.09242889,0.06808429,0.043012504,0.023209495,0.011098728,0.0055548996,0.003752738,0.004382211,0.008715396,0.02049666,0.041923363,0.070915304,0.09939947,0.11914638,0.1259329,0.12268404,0.11488009,0.10743954,0.1021355,0.0990381,0.097388804,0.09653345,0.09600594,0.09564408,0.09542077,0.095312454,0.09516514,0.09484461,0.09421492,0.09302484,0.090735786,0.08674982,0.081354715,0.075971596,0.07270488,0.0723519,0.07398778,0.075336516,0.07463732,0.07089699,0.06387535,0.054056447,0.043713853,0.037491456,0.040273625,0.0539473,0.07457362,0.09491796,0.1082804,0.11298505,0.11114804,0.106796585,0.10243961,0.09944066,0.09795716,0.09819216,0.09967712,0.10153017,0.1023444,0.101360746,0.098665826,0.09523594,0.09191865,0.08927429,0.08762279,0.08766753,0.09026567,0.09538045,0.10140708,0.105540775,0.10592418,0.10268902,0.09785817,0.09337685,0.09013837,0.0881375,0.087783396,0.09048107,0.097379126,0.107734494,0.118215956,0.12520225,0.12690805,0.12447033,0.12016282,0.11588802,0.11234867,0.109294154,0.105631866,0.09919608,0.087842904,0.0708771,0.050782412,0.031823967,0.01788334,0.009961655,0.0067493287,0.006377458,0.008422292,0.014364404,0.025815874,0.042598557,0.061291754,0.07739795,0.08765435,0.09207016,0.09256482,0.091418214,0.09024832,0.09053383,0.09425225,0.10268504,0.115237385,0.12833326,0.13813348,0.14254986,0.14289789,0.14135301,0.1393974,0.1370086,0.13421027,0.13152242,0.1293965,0.12724899,0.12370292,0.11784574,0.11007293,0.10176059,0.09418043,0.08799955,0.08325622,0.079708636,0.07678737,0.07430453,0.07284767,0.07360688,0.07684502,0.08107022,0.08400524,0.08429959,0.08240208,0.079509936,0.0766151,0.07404867,0.072027974,0.07084396,0.07073128,0.07143715,0.07222248,0.07220051,0.07093457,0.06838136,0.06489848,0.06088628,0.05730672,0.05540149,0.0564615,0.0604722,0.06591829,0.07017604,0.07128251,0.06886914,0.06428174,0.059383895,0.05558045,0.053775545,0.05515818,0.06199171,0.07577917,0.09543115,0.11575768,0.13115339,0.13847834,0.13929063,0.13679028,0.13365293,0.13020903,0.12531768,0.116860926,0.10311538,0.083803184,0.06133908,0.039773744,0.02299607,0.012429648,0.0071648564,0.005008346,0.0042041163,0.0044029336,0.007016018,0.015093992,0.03089719,0.053897012,0.07888611,0.09928766,0.110161744,0.1115374,0.106544994,0.099360116,0.09271867,0.08800802,0.08595569,0.087065585,0.09124827,0.09707558,0.102196306,0.10461313,0.10382018,0.10070101,0.096462935,0.091890015,0.087347806,0.08321684,0.0803763,0.079635896,0.08131236,0.084263444,0.08692277,0.087893866,0.087041706,0.08463374,0.08098418,0.07657996,0.07293586,0.073075525,0.07933283,0.09151185,0.105259955,0.11540288,0.11854247,0.115547515,0.109243505,0.10261618,0.096939,0.09240771,0.08872145,0.08582824,0.083663024,0.081920825,0.079911076,0.07725683,0.07409993,0.07103902,0.0684554,0.06654353,0.065410174,0.06526043,0.06619159,0.06804847,0.07045529,0.072743446,0.074179925,0.07417222,0.0728192,0.07067766,0.06833624,0.06633654,0.06580528,0.06910378,0.07816874,0.09272736,0.10885993,0.1217286,0.12813412,0.1286632,0.12591606,0.12274492,0.120657176,0.11991433,0.119441606,0.116964936,0.10993602,0.09727895,0.080604516,0.063211896,0.048166644,0.037004568,0.03018562,0.028113345,0.031760205,0.043526754,0.066503756,0.102401786,0.1475477,0.19290607,0.22840786,0.24921377,0.25726655,0.25785756,0.2555808,0.25281265,0.2504448,0.24833006,0.24560988,0.24137574,0.23562674,0.22978385,0.2264974,0.22821938,0.23557658,0.24599193,0.25549027,0.26061773,0.26055303,0.2559164,0.24906035,0.24275982,0.23987824,0.24011235,0.2402358,0.2354004,0.22303061,0.2037005,0.1810653,0.16038464,0.14677487,0.14282571,0.14678538,0.15365523,0.15804423,0.15719806,0.15143433,0.14311846,0.13485731,0.12940164,0.13012493,0.14199047,0.16789144,0.20500596,0.24216348,0.2671733,0.27389726,0.2666798,0.25421193,0.24348532,0.23628075,0.23109262,0.22568502,0.21906573,0.21215297,0.20679896,0.20357554,0.2006775,0.19527017,0.1864307,0.17623822,0.16830046,0.1651137,0.16713788,0.1732385,0.18272793,0.19511311,0.21038836,0.2261708,0.2388602,0.24371491,0.23878412,0.2250395,0.20647359,0.18793438,0.17299603,0.16315962,0.15697621,0.15295206,0.14999968,0.1486163,0.14786765,0.14564835,0.13919733,0.12843099,0.11659805,0.110266596,0.11581238,0.13627659,0.16766663,0.20111102,0.22671461,0.23931336,0.23839778,0.22668946,0.2075706,0.18608575,0.16890635,0.16273113,0.16942172,0.18456537,0.19902734,0.20543653,0.20046027,0.18658365,0.16889805,0.1544701,0.14801474,0.15090926,0.16041104,0.17358077,0.1883355,0.20314132,0.2149819,0.22090338,0.22009866,0.21480663,0.20832445,0.20336412,0.20179094,0.20487715,0.21279977,0.22379829,0.23480444,0.24308382,0.24774903,0.24929678,0.24808814,0.24297135,0.23217475,0.21575199,0.19793178,0.18550533,0.18339968,0.19024922,0.19948934,0.20408402,0.20102592,0.19148944,0.17850666,0.16563483,0.15737845,0.15841918,0.17107959,0.19190688,0.2131667,0.22607362,0.22576387,0.21165271,0.1875745,0.16003375,0.13716821,0.12531358,0.12589133,0.13448924,0.14460982,0.15245233,0.1598173,0.17042525,0.18585743,0.20189472,0.21309829,0.2162947,0.21384293,0.2096817,0.20651789,0.20404638,0.20062669,0.19557329,0.1897925,0.18562162,0.18409337,0.18434888,0.18376316,0.18087004,0.1760633,0.17108731,0.1672827,0.16527182,0.16554022,0.16848584,0.17350453,0.17787641,0.17730135,0.16812885,0.14940415,0.123948716,0.09754514,0.07798306,0.071728446,0.08044409,0.09895862,0.11863017,0.13295077,0.14047886,0.14279468,0.140945,0.13466585,0.12529995,0.11790895,0.11985596,0.13464504,0.1581211,0.1802417,0.19274543,0.19384672,0.1869722,0.17506497,0.1581426,0.135498,0.11015469,0.08970972,0.081943266,0.08875259,0.1040498,0.11882019,0.12766786,0.13146181,0.13350679,0.1352126,0.13515297,0.13195461,0.12718104,0.125347,0.13088238,0.14459045,0.16254692,0.17877513,0.18868737,0.19117634,0.18772066,0.1810994,0.17388183,0.16785876,0.16352274,0.16040401,0.1576978,0.15496843,0.15233798,0.14981829,0.14666076,0.14119153,0.13286793,0.124103285,0.121052645,0.129308,0.14963171,0.17520976,0.19669564,0.20789053,0.20956814,0.2061072,0.20086938,0.19419278,0.18554895,0.17686476,0.1720225,0.1739647,0.18180783,0.19179589,0.19984771,0.20287977,0.19897859,0.18778431,0.17173259,0.15535195,0.1434371,0.1394165,0.14567657,0.1619678,0.18450683,0.2051825,0.21754386,0.2197134,0.21612436,0.21152872,0.20859353,0.20641595,0.20338427,0.19817187,0.19035839,0.17979485,0.16710263,0.15397991,0.14381407,0.1397807,0.14338993,0.15272065,0.1644225,0.17557444,0.18597794,0.1964106,0.20723741,0.2162983,0.2211545,0.21996053,0.21362568,0.20406115,0.19387306,0.18489964,0.17829804,0.17407888,0.17072935,0.16683881,0.16293381,0.16263,0.16874152,0.17927895,0.18731053,0.18601102,0.17394304,0.15460831,0.13387431,0.11592704,0.103166185,0.09511635,0.09000484,0.0852487,0.07971568,0.073776,0.0688749,0.066129155,0.0658611,0.067872606,0.07170657,0.07645462,0.08053241,0.082242064,0.080954,0.07731581,0.07253596,0.067488134,0.06333149,0.06299338,0.07129604,0.09295634,0.12767367,0.16864784,0.2038372,0.2241258,0.22658233,0.21672809,0.20146962,0.18759046,0.17768247,0.17467149,0.17996745,0.19464111,0.21526533,0.23598003,0.25071654,0.2568762,0.25566337,0.24950318,0.23977603,0.22469954,0.20293796,0.17677821,0.15577354,0.14950264,0.16136639,0.18297918,0.20280118,0.21323459,0.21625017,0.21754561,0.22161447,0.22825152,0.23488356,0.23891039,0.23949091,0.237071,0.23265369,0.2268454,0.22024961,0.21381144,0.20924611,0.20761646,0.2082252,0.20815337,0.20516355,0.19999546,0.19694905,0.19920747,0.20528293,0.20845783,0.20251691,0.18649663,0.16596703,0.1484776,0.13933535,0.14005546,0.15069014,0.1701051,0.19497257,0.217447,0.22933213,0.22620648,0.21153498,0.19241488,0.17590725,0.16539346,0.161908,0.16512223,0.17377953,0.18555264,0.19694822,0.2047357,0.20636952,0.20083962,0.18861698,0.17208727,0.15545245,0.14386918,0.14237404,0.15312696,0.1731774,0.19330935,0.20235302,0.19373792,0.17048879,0.14318322,0.122513495,0.112667345,0.110212944,0.11036631,0.11242255,0.12148992,0.14145492,0.17042203,0.19882353,0.21678565,0.21820436,0.20419292,0.18029344,0.15539907,0.13859342,0.13586764,0.1472348,0.16604629,0.18372618,0.1937034,0.19557737,0.19288707,0.19055723,0.19080782,0.19309472,0.195397,0.19643901,0.19666575,0.19774105,0.20137133,0.20780478,0.21524495,0.22087105,0.22222455,0.21887821,0.21158493,0.20216686,0.19202733,0.1827842,0.17527391,0.16952725,0.16372065,0.1545299,0.13855633,0.11504684,0.08795657,0.06473229,0.051851016,0.051092934,0.06001376,0.07662796,0.10112262,0.13302866,0.16600461,0.18890683,0.19288118,0.17785005,0.15221147,0.12567584,0.10520976,0.09455705,0.097095884,0.11414083,0.14217885,0.17252974,0.19478439,0.20265852,0.1954859,0.17854446,0.15854555,0.14156143,0.12994322,0.123602815,0.12090766,0.12138218,0.1264313,0.13813692,0.15622483,0.17578267,0.18968205,0.19295359,0.1865216,0.1760863,0.1682791,0.16698916,0.17162424,0.17896199,0.18540828,0.18964411,0.19159739,0.19141936,0.18849897,0.18373166,0.180071,0.18068065,0.18452652,0.18646283,0.18180859,0.17166312,0.16092132,0.15284562,0.1455552,0.13647026,0.12597083,0.1181288,0.11560455,0.11891856,0.12634867,0.13670133,0.1469335,0.15285008,0.14939307,0.13540752,0.113700956,0.09011165,0.06928597,0.054566298,0.04856831,0.05495191,0.07591631,0.10968842,0.14866985,0.18249422,0.20151158,0.20030157,0.179383,0.14599977,0.11204051,0.08827615,0.07960976,0.08495464,0.10062247,0.12193508,0.14161916,0.15110354,0.14456443,0.12372097,0.09652743,0.07294638,0.06033865,0.061522465,0.075681895,0.09925461,0.12750907,0.15378709,0.17184532,0.17815733,0.17435366,0.16489698,0.15378956,0.14432739,0.14081094,0.14858784,0.168397,0.19242667,0.20694208,0.20210339,0.17898531,0.14783694,0.11985949,0.10067507,0.09011691,0.085630275,0.08530745,0.08820742,0.09342578,0.09908762,0.10244916,0.10121604,0.095009916,0.08605526,0.07788315,0.07360803,0.074368626,0.079205126,0.085652106,0.090944864,0.093265854,0.09224338,0.08878264,0.0840976,0.07935044,0.07563359,0.07450748,0.07866875,0.0907608,0.11231756,0.13971347,0.16637224,0.18389992,0.19020434,0.18775058,0.18354179,0.18160379,0.18386476,0.1893758,0.19715643,0.20520484,0.21103506,0.2124539,0.20925294,0.2033297,0.19705766,0.19150884,0.18599719,0.1799226,0.17428935,0.17212848,0.17593735,0.185485,0.19686075,0.20448434,0.2038967,0.19319075,0.17326039,0.14685115,0.119180776,0.09744126,0.089264475,0.09872938,0.123449184,0.15497303,0.18255632,0.19812576,0.19893281,0.18754037,0.16969462,0.1521241,0.1408772,0.1398861,0.14936091,0.16501446,0.17950714,0.18632431,0.18311639,0.17202626,0.15725745,0.14307916,0.13381752,0.13461979,0.14903516,0.17628585,0.2087732,0.23697956,0.25367585,0.2588559,0.25679663,0.2534916,0.25240627,0.25425816,0.2569822,0.25773165,0.25432998,0.24766053,0.24071692,0.23723924,0.23718154,0.23726563,0.23222768,0.21986277,0.20157498,0.18127726,0.16308415,0.15072222,0.14883488,0.16004153,0.18254198,0.20751083,0.22546293,0.23133378,0.22819977,0.22247106,0.21988691,0.22192009,0.22689974,0.23143041,0.23356402,0.23350067,0.23317362,0.23351623,0.2338955,0.23268647,0.22946675,0.225251,0.22224222,0.22211128,0.22526892,0.23012029,0.23382676,0.23337288,0.22645359,0.2117119,0.18966396,0.16417108,0.14285846,0.13301258,0.13706136,0.15084082,0.16802567,0.18406396,0.19730711,0.20740263,0.21511565,0.22240418,0.23114394,0.24014086,0.24454892,0.23815979,0.21888752,0.19157028,0.1669019,0.15382953,0.15349858,0.15817313,0.15817223,0.14829656,0.13033423,0.11028889,0.095207624,0.0908118,0.09984995,0.1203517,0.14484565,0.16202718,0.16195069,0.14154114,0.107327916,0.07153866,0.04677965,0.042937074,0.06944219,0.13622253,0.24798334,0.3946265,0.54572827,0.6598982,0.70296144,0.66678786,0.5729405,0.46079388,0.36623502,0.30636972,0.27831364,0.26910964,0.26674104,0.2646886,0.2612174,0.2564634,0.25106665,0.24503177,0.23855954,0.23217545,0.22771393,0.22744882,0.23321748,0.24512486,0.2609421,0.2769266,0.28911498,0.29533893,0.295355,0.29021898,0.280735,0.2678934,0.25373003,0.24253047,0.2388662,0.24537449,0.2599262,0.27688587,0.28955856,0.29447374,0.29232034,0.28700933,0.28346503,0.28641713,0.29955962,0.3212422,0.3431791,0.35203636,0.3402454,0.31037906,0.27445453,0.24301727,0.22005264,0.20212333,0.18498963,0.16783035,0.15557863,0.15445845,0.16680504,0.18705143,0.20556104,0.21523368,0.21560548,0.21067631,0.20355465,0.19537635,0.18679374,0.18138231,0.18334283,0.19463515,0.2115162,0.22723083,0.23568742,0.2349781,0.22619545,0.21128511,0.19172372,0.16997777,0.15029047,0.13833754,0.13777572,0.14796172,0.16240966,0.1718728,0.16888918,0.15210827,0.12675215,0.10156769,0.086322255,0.09024888,0.11959656,0.17256196,0.23604119,0.29122677,0.3245465,0.33525872,0.33240724,0.32598802,0.32177135,0.32338262,0.33833635,0.37923196,0.45440492,0.5548479,0.64848423,0.6964722,0.6771957,0.6028177,0.50786483,0.42638597,0.37529257,0.35860536,0.3793478,0.4408041,0.5360268,0.6382335,0.70901066,0.7188315,0.6639633,0.56805384,0.46579722,0.3857598,0.33731982,0.31474724,0.30500147,0.29852596,0.29057285,0.28130245,0.2727864,0.26792112,0.26774725,0.2704526,0.2737467,0.27777883,0.28704888,0.30420026,0.3262867,0.3424414,0.3429996,0.32505462,0.29557547,0.26413628,0.23782082,0.21817082,0.20385574,0.19274265,0.18380195,0.17694212,0.17280287,0.17144561,0.17213269,0.17316984,0.17270206,0.16887824,0.16068475,0.1490373,0.13719879,0.12983733,0.13005042,0.13879783,0.15411307,0.17318235,0.19113511,0.20349582,0.2072561,0.20409197,0.19806476,0.19251643,0.18713073,0.17966996,0.16908939,0.15710424,0.14716356,0.14203276,0.14249207,0.14605106,0.14805096,0.14459646,0.13915944,0.14611727,0.1868186,0.27573195,0.40626958,0.54761344,0.65609676,0.697814,0.66413695,0.5773966,0.47374472,0.386085,0.3276215,0.29661813,0.28358874,0.2805407,0.28155747,0.28260407,0.28151295,0.27862862,0.27588528,0.27528742,0.27662876,0.27911818,0.28199995,0.28667715,0.29340592,0.3006708,0.30465904,0.30376628,0.29945076,0.2953893,0.29334006,0.2925348,0.29132152,0.29016942,0.29162672,0.29758704,0.30674824,0.31500188,0.31910717,0.3189594,0.31729496,0.3160698,0.31554267,0.31555462,0.31846407,0.3275958,0.34244177,0.35607982,0.3586224,0.34516725,0.31797618,0.2839789,0.24931943,0.2194191,0.1990866,0.1917753,0.19635712,0.20684439,0.21586025,0.21898402,0.21735863,0.21573655,0.2177161,0.22116578,0.21820687,0.20189975,0.17247878,0.1391748,0.11439264,0.10768784,0.12264163,0.15556352,0.1969149,0.23288755,0.253458,0.2558954,0.24555345,0.22807914,0.20625663,0.18026598,0.15287445,0.13036387,0.12070501,0.12783755,0.14951068,0.17703484,0.20121725,0.21621038,0.22189218,0.22065441,0.21598332,0.2118483,0.21369469,0.2249177,0.24402626,0.26347575,0.27569374,0.27777788,0.27317408,0.26904857,0.27349293,0.2968303,0.34779155,0.4286616,0.5244084,0.60591143,0.64190936,0.61878586,0.54786247,0.4577397,0.3785437,0.3297238,0.3191968,0.34935018,0.41782078,0.5142965,0.6110039,0.67335504,0.6733907,0.61238885,0.5152692,0.4190683,0.34829685,0.3104763,0.29724526,0.29735562,0.30144605,0.3051779,0.30652556,0.305159,0.30126536,0.2957413,0.28967312,0.28484783,0.2835792,0.28886494,0.30058086,0.31353042,0.31702134,0.30293503,0.27097398,0.23000182,0.19043823,0.15860543,0.1349823,0.118003435,0.108030915,0.10949162,0.12784821,0.16467822,0.2123568,0.25704178,0.28461406,0.28904307,0.27294573,0.24532555,0.21698175,0.19777787,0.19494557,0.20829988,0.22952764,0.2423337,0.23455991,0.20497996,0.16847068,0.1435736,0.1419373,0.15963179,0.18449694,0.20520778,0.21810971,0.22492754,0.22831613,0.22954589,0.22841375,0.22482984,0.21967645,0.21591006,0.21796174,0.23094703,0.26163414,0.3181132,0.4047447,0.5101382,0.6036806,0.6475672,0.623024,0.543182,0.4445912,0.36122277,0.30864623,0.28397098,0.2777854,0.28213742,0.2919607,0.30302438,0.3115715,0.31560013,0.31585696,0.31431574,0.31262287,0.31093058,0.30960634,0.30994403,0.31446126,0.3239981,0.33684286,0.34842846,0.35519612,0.35609972,0.353223,0.34880948,0.3432509,0.33554545,0.3251836,0.3149642,0.30897018,0.3099256,0.31584397,0.32190752,0.32381463,0.32015824,0.31243396,0.30336705,0.2969868,0.29716024,0.30614957,0.3207173,0.332962,0.3336194,0.31972352,0.29557943,0.27045155,0.25092158,0.23878248,0.2307928,0.22279239,0.21274519,0.20323662,0.19965877,0.20548697,0.21820052,0.23109047,0.2385989,0.24034463,0.23971792,0.24039762,0.2442737,0.25082085,0.2573805,0.2595503,0.25420514,0.24204397,0.22774087,0.21644805,0.2101379,0.20665796,0.20121415,0.19017027,0.17413236,0.15969445,0.15549345,0.16684456,0.19077265,0.21822916,0.2387315,0.24614114,0.2392472,0.22106819,0.19661665,0.17295247,0.15782307,0.15775903,0.1746798,0.20401299,0.23620372,0.26093507,0.2728323,0.2724475,0.26394048,0.25171235,0.2422939,0.24862587,0.28773704,0.36855555,0.4768891,0.57566786,0.62478274,0.6069479,0.53798497,0.45250562,0.38148057,0.33929977,0.32925144,0.35344937,0.41346696,0.5001795,0.5865969,0.63780856,0.6319098,0.5747641,0.49416766,0.42033038,0.36919677,0.3397088,0.32334018,0.31328824,0.3086064,0.30962455,0.3154758,0.32187614,0.3251224,0.32289454,0.31654784,0.30951276,0.30667517,0.3120186,0.32533646,0.34120643,0.34951273,0.34323618,0.32209423,0.29438233,0.2693502,0.2527384,0.243831,0.23833854,0.2315073,0.22086985,0.2075613,0.1943612,0.18403323,0.17694227,0.17246372,0.16822213,0.16120331,0.14755891,0.1267957,0.10361173,0.08788001,0.08854821,0.10889906,0.14314233,0.17977028,0.20576508,0.21361238,0.20362936,0.18347578,0.16244304,0.14641315,0.1359668,0.12856933,0.122805096,0.12029249,0.12431482,0.1353217,0.14842033,0.15580106,0.15289791,0.14335911,0.13924785,0.15836312,0.21693726,0.31926653,0.4465631,0.5604041,0.6206944,0.6108281,0.54492784,0.45753357,0.38050207,0.32993445,0.304472,0.2950582,0.29367113,0.2963914,0.30184543,0.30820492,0.31371823,0.31735384,0.31961372,0.32061222,0.31898233,0.31248263,0.30147144,0.29003823,0.28372177,0.2838297,0.2864168,0.28513026,0.27732912,0.26521385,0.25380644,0.24641764,0.24316579,0.24221677,0.24241133,0.24506275,0.2525848,0.26637247,0.28388068,0.29936528,0.30646124,0.30231476,0.28920588,0.2734821,0.26287153,0.262728,0.27219307,0.28356722,0.28625622,0.27527544,0.25406972,0.2320541,0.2167546,0.21047151,0.21125714,0.21587531,0.2222594,0.22855967,0.2335184,0.23558748,0.23441453,0.23047422,0.22505973,0.21901579,0.21256451,0.2057382,0.19945957,0.19533004,0.1945111,0.19584244,0.19626828,0.19213456,0.1821652,0.16803135,0.15410823,0.14445217,0.14101136,0.1426837,0.14700024,0.15166552,0.15550476,0.15823287,0.16017325,0.16147573,0.16196638,0.16076575,0.15784086,0.15379818,0.15014113,0.14740235,0.14561157,0.14427702,0.14310367,0.14185053,0.14028524,0.13863228,0.13692816,0.13499604,0.13213694,0.1282506,0.12399625,0.12046436,0.11822177,0.116963506,0.11584108,0.114181854,0.111962676,0.109774746,0.10802084,0.106599726,0.10504461,0.1033892,0.102202326,0.10213387,0.10346428,0.1060324,0.109663896,0.11380321,0.117771484,0.12062692,0.12206759,0.12226931,0.12196518,0.121548586,0.120817356,0.118616946,0.113680124,0.105637826,0.09586676,0.08677518,0.08024988,0.07658454,0.07488721,0.074724406,0.07692027,0.08320356,0.09324581,0.10360652,0.10817695,0.10361254,0.09139124,0.07753333,0.066981435,0.061443646,0.059422944,0.059381887,0.060851082,0.06466043,0.07112097,0.079140194,0.085308574,0.08630937,0.0807557,0.07100582,0.06082694,0.053302903,0.049102593,0.04775238,0.049063116,0.05357501,0.06141314,0.07085115,0.07881269,0.082660295,0.08214192,0.07884852,0.074409984,0.06872817,0.06105158,0.052007873,0.045278374,0.045478296,0.054695975,0.07008504,0.085518606,0.095441096,0.09702435,0.0902257,0.07668928,0.06077531,0.049872786,0.05242996,0.07203156,0.10389308,0.13624524,0.15862705,0.16723752,0.16597971,0.16059384,0.15563202,0.1535965,0.15685469,0.16683821,0.18196361,0.1969376,0.20533435,0.20463769,0.19848438,0.19394867,0.1949401,0.19863272,0.19927196,0.1949697,0.19039465,0.19078356,0.19597195,0.19973284,0.19687372,0.18783098,0.17774136,0.1700523,0.16327238,0.15335596,0.13892287,0.12376822,0.11346301,0.110780746,0.113527626,0.117284395,0.119228095,0.11912594,0.117917925,0.115250014,0.11061973,0.10479804,0.10128225,0.103747934,0.11331612,0.12703995,0.13988,0.14763914,0.1480187,0.14002208,0.12352881,0.10073868,0.07764452,0.06266611,0.06336694,0.0810919,0.109881125,0.13790843,0.15552114,0.1594407,0.15416585,0.14579798,0.13820471,0.13136157,0.12419906,0.11733136,0.11407437,0.11848078,0.1314164,0.14859635,0.16292405,0.16940933,0.16805845,0.16218472,0.15521358,0.14878206,0.14343734,0.13913311,0.13551438,0.13155977,0.12647061,0.1200164,0.11276171,0.10532546,0.09836381,0.09291779,0.090866536,0.09442813,0.10447192,0.11861537,0.13134724,0.13687225,0.13327642,0.12354212,0.113158636,0.10575647,0.10150873,0.09836791,0.09494359,0.092695035,0.09488281,0.104720496,0.12128367,0.14022717,0.15443332,0.15918846,0.1528614,0.13823397,0.119346984,0.100899786,0.08680266,0.08089098,0.085023664,0.097609155,0.11277636,0.123918496,0.1275041,0.124769665,0.11904174,0.11282045,0.107107766,0.10284283,0.102258116,0.10712596,0.117266834,0.12885071,0.13733248,0.13918297,0.13417386,0.12393304,0.11144772,0.10029703,0.09436563,0.09687523,0.10813152,0.12494862,0.14102472,0.15102637,0.15318114,0.15044855,0.14725552,0.14631519,0.14714454,0.14741637,0.14572644,0.14252806,0.13977358,0.13833094,0.13731736,0.13440533,0.12829678,0.11958944,0.11031691,0.10214597,0.09609402,0.09390985,0.098878436,0.11362515,0.13659866,0.1612397,0.18002743,0.18880767,0.18839794,0.18146658,0.17001288,0.15446396,0.13648693,0.121171355,0.11591927,0.12520109,0.14554292,0.16743517,0.18170558,0.18577361,0.18254761,0.1759655,0.1671685,0.15575428,0.14392062,0.13790236,0.14452328,0.16418056,0.18945725,0.20989434,0.21989135,0.22072048,0.21731998,0.21365328,0.2111106,0.20946766,0.20807694,0.20639773,0.20392112,0.20036303,0.19592498,0.19125377,0.18689404,0.18276359,0.17836712,0.17363824,0.16947925,0.16745965,0.16802968,0.16975658,0.16942407,0.16499452,0.1565677,0.14631167,0.13565587,0.1248954,0.11460123,0.107882716,0.110224105,0.12504318,0.15013552,0.17685366,0.19602002,0.20247747,0.19707198,0.1836092,0.16640753,0.1495303,0.1364826,0.13024561,0.1315191,0.13837667,0.14615107,0.15024428,0.14877898,0.14342196,0.13742758,0.13247623,0.12785988,0.121405475,0.11288776,0.10566422,0.10548046,0.11543021,0.1323787,0.14895272,0.1589799,0.16161607,0.15931916,0.15414475,0.14543115,0.13258792,0.118956275,0.11272905,0.12170634,0.14639239,0.17814697,0.20528197,0.22080855,0.225208,0.22205359,0.21316747,0.19742584,0.17551525,0.15314107,0.13981976,0.14129604,0.15515316,0.17252369,0.1853541,0.19082344,0.1905535,0.18704826,0.18159758,0.17450638,0.1665154,0.15838395,0.1508149,0.14298688,0.13460355,0.1256456,0.11746246,0.11043101,0.104432315,0.09880724,0.09380421,0.09026409,0.089056306,0.09007538,0.092055775,0.09303855,0.09180555,0.08853064,0.08463353,0.08128503,0.07879868,0.076990575,0.0761533,0.07730431,0.08070872,0.08520035,0.08804793,0.08746967,0.083284,0.07719629,0.070747726,0.0649432,0.06053326,0.059201915,0.063910715,0.07639918,0.09502561,0.11333267,0.124664955,0.1258265,0.11966894,0.11114258,0.104279496,0.101078145,0.10368193,0.11555209,0.13692687,0.1614353,0.17567468,0.17002553,0.14521699,0.1132481,0.08640143,0.07055373,0.06372718,0.06259146,0.067083895,0.08210445,0.11247643,0.15688865,0.20489569,0.24249214,0.26116213,0.26251778,0.2552069,0.24746215,0.24335444,0.24283288,0.2447288,0.24781013,0.2511122,0.25337788,0.25343147,0.25099218,0.24743426,0.2459306,0.2495722,0.25933576,0.27263498,0.2849504,0.29255876,0.2949781,0.29545054,0.29780343,0.30314687,0.30720237,0.30480027,0.2945837,0.28338626,0.28323385,0.3075459,0.36377612,0.44741416,0.5379289,0.6061924,0.62820476,0.5985434,0.53044194,0.44795826,0.3739076,0.32327604,0.30000484,0.29945192,0.31344703,0.33484316,0.35928527,0.38233843,0.39931962,0.40591916,0.40243742,0.39288008,0.3829113,0.3753294,0.3698889,0.36457202,0.35834622,0.35181388,0.34617737,0.3417827,0.337266,0.3313006,0.32353786,0.31549776,0.30840242,0.30281067,0.2980034,0.2939191,0.29118097,0.2915087,0.29568318,0.3028947,0.31013128,0.31458437,0.31534997,0.31500164,0.31743252,0.32466444,0.33302554,0.3351198,0.3251904,0.3052008,0.28249517,0.2637038,0.24904586,0.23433246,0.21568906,0.19301464,0.17010044,0.15245585,0.14641581,0.156475,0.18297166,0.2184772,0.25019273,0.26632306,0.26421276,0.25086108,0.23674949,0.22714376,0.22061308,0.21303467,0.20501584,0.20094155,0.20564915,0.21686177,0.22765873,0.22881426,0.2166525,0.19335754,0.16806108,0.15064363,0.1472727,0.15623267,0.17110886,0.18593866,0.19867684,0.20974518,0.21885358,0.22436607,0.22567241,0.22622173,0.2331988,0.252728,0.28374016,0.31621876,0.33753458,0.3411628,0.33079013,0.3149154,0.30004552,0.2892369,0.28818855,0.31039703,0.36994937,0.4671073,0.57542443,0.65305877,0.6657338,0.61127704,0.5172604,0.42296818,0.3564011,0.32812724,0.33851865,0.3864825,0.46773806,0.5650018,0.6459326,0.6774755,0.6466659,0.5693763,0.47781184,0.4002266,0.34872338,0.32084665,0.30888164,0.3053373,0.30641568,0.3092002,0.31272152,0.31575236,0.31945047,0.32450545,0.33114815,0.3373922,0.34218988,0.34684882,0.3528684,0.35897192,0.35920537,0.34889612,0.32708263,0.29932225,0.27239543,0.25255492,0.2414717,0.23747069,0.2362532,0.23433258,0.23040295,0.22538507,0.22087009,0.21741591,0.21386705,0.20761831,0.19631274,0.17946695,0.15921156,0.13920487,0.12382832,0.11726282,0.12313798,0.14094909,0.16456634,0.18287617,0.18791766,0.17953879,0.16560094,0.15367843,0.14638628,0.14195961,0.14015432,0.14482014,0.16015576,0.18534438,0.21185671,0.2292478,0.2306828,0.21851565,0.20305113,0.20143585,0.23221333,0.3065519,0.4179071,0.5374813,0.6253554,0.65075403,0.6094404,0.52383584,0.42687514,0.34589675,0.29340884,0.27078053,0.27060494,0.28219077,0.29366866,0.29852378,0.29643235,0.29203838,0.28913474,0.2890996,0.29120144,0.29522577,0.30106655,0.30831298,0.31452093,0.3169731,0.31370255,0.30650416,0.29926983,0.29596218,0.2965767,0.29794422,0.29674795,0.29318142,0.29092693,0.2936945,0.30227086,0.31374165,0.32445943,0.33232287,0.33771506,0.34119168,0.34213778,0.33900484,0.33207846,0.32478097,0.32111755,0.32134783,0.31941855,0.30826548,0.28509864,0.2546965,0.22362034,0.19701771,0.17658263,0.16382544,0.15873937,0.1604364,0.1663161,0.17694753,0.19324188,0.21564907,0.23772569,0.25284627,0.25621286,0.2509724,0.24238366,0.2361901,0.23469639,0.23731138,0.2408662,0.24118488,0.23581387,0.22444145,0.20878482,0.19135158,0.17517634,0.16354825,0.15815584,0.15891023,0.16407897,0.1732551,0.18705451,0.20541458,0.22499736,0.24018888,0.24675377,0.24390505,0.23432793,0.22245164,0.21374966,0.21304168,0.22180359,0.23678128,0.2512942,0.25997144,0.2616348,0.26018217,0.26046196,0.26477012,0.27227676,0.28487948,0.3129597,0.37082538,0.46239844,0.5673206,0.6467534,0.66560715,0.61622685,0.52230155,0.42179546,0.34535006,0.30702305,0.31095457,0.35876548,0.4448227,0.546123,0.6225958,0.6390733,0.5877685,0.4944602,0.398399,0.32916582,0.29525104,0.28964362,0.30127943,0.3201404,0.33951798,0.35279068,0.3564773,0.34911552,0.3345462,0.31776714,0.30475655,0.298622,0.3013004,0.31241944,0.32951763,0.34729508,0.359419,0.36164507,0.3527834,0.3349407,0.31224266,0.28980672,0.2696997,0.2493676,0.2246276,0.19799767,0.17963278,0.1800754,0.19908635,0.22564824,0.24700047,0.2586542,0.26510957,0.27335238,0.28624162,0.30102757,0.3120234,0.31509897,0.30957964,0.29880092,0.28714868,0.27849326,0.27406767,0.2732236,0.27377057,0.27323684,0.26961365,0.26206744,0.25239342,0.24417804,0.24156572,0.24497461,0.25138345,0.25531372,0.25341937,0.24495059,0.23423608,0.23138005,0.2541531,0.31824246,0.4242022,0.544754,0.63646895,0.6626783,0.61851144,0.5291828,0.4329048,0.3572816,0.31141317,0.28948283,0.28172907,0.2808957,0.28368512,0.2881273,0.29205397,0.29326463,0.29115853,0.28697133,0.2826639,0.27941036,0.2772827,0.27704123,0.28019285,0.28863075,0.30110258,0.31372157,0.32049838,0.31784534,0.30575982,0.28898597,0.27400815,0.26583576,0.2647041,0.26673156,0.26800954,0.2684525,0.27198043,0.28121445,0.29436612,0.30508578,0.30838263,0.30305395,0.29293028,0.28431538,0.282118,0.28620747,0.289093,0.28319374,0.26590887,0.24303138,0.2215482,0.20654905,0.19962133,0.20085613,0.20773147,0.21531647,0.21858577,0.21630327,0.21181303,0.21027684,0.21489803,0.2248099,0.23623364,0.24405946,0.24501283,0.23860884,0.22865973,0.21978329,0.21525635,0.21348812,0.2115953,0.20728289,0.20163918,0.19486047,0.18518423,0.16924012,0.14806262,0.12850356,0.12061935,0.1311668,0.15963374,0.19810466,0.23430133,0.25742537,0.263577,0.25619677,0.24188125,0.22565244,0.21250154,0.20894611,0.21959132,0.24096389,0.26121318,0.2706178,0.26914445,0.26539657,0.26598063,0.26999685,0.2730343,0.276474,0.29232427,0.33393934,0.40173855,0.47397438,0.52081394,0.5244298,0.49319842,0.44909537,0.41145182,0.38559237,0.3709927,0.36984003,0.3895391,0.43293488,0.48952302,0.5374182,0.55695695,0.5431185,0.50622624,0.4621552,0.42306772,0.39469865,0.37821946,0.3722041,0.3724873,0.37391794,0.3721719,0.36700794,0.36072123,0.35640478,0.35441008,0.35330853,0.35136625,0.34914672,0.3480172,0.3461698,0.3373053,0.3146148,0.28022042,0.24584006,0.2264617,0.22713286,0.24051762,0.25175512,0.24980772,0.23259097,0.20632058,0.17878725,0.15434176,0.13306578,0.11579511,0.10657469,0.11119715,0.1302005,0.15799515,0.18585773,0.20948595,0.22853263,0.24264716,0.2472794,0.23723452,0.21378255,0.1850972,0.16130693,0.14672571,0.14203386,0.14610785,0.15861721,0.1751033,0.18907158,0.19398223,0.18949492,0.17877798,0.16720362,0.15780483,0.15268542,0.15257978,0.15978603,0.17869002,0.21707432,0.28068668,0.36621746,0.45408344,0.5168286,0.5333739,0.5052392,0.4517999,0.3988477,0.36186838,0.34327102,0.33536866,0.32929388,0.32065395,0.30970368,0.2987862,0.28949055,0.28305364,0.28035185,0.28099224,0.28277457,0.28290138,0.28078803,0.27846894,0.2783916,0.2805923,0.28243926,0.28151074,0.27700987,0.27031314,0.2628051,0.2562504,0.25196072,0.25140706,0.25574175,0.26583648,0.28222024,0.3029712,0.3236464,0.3371232,0.33847603,0.32766393,0.3113177,0.29864892,0.29668736,0.3065543,0.32282725,0.33664826,0.3393159,0.3278229,0.30525735,0.27959538,0.2576857,0.24309249,0.2353735,0.23294027,0.23536694,0.24368022,0.25865993,0.27711025,0.2920808,0.29610917,0.28676495,0.26771796,0.2453301,0.22396474,0.2043073,0.18622088,0.17179637,0.16576503,0.17130189,0.1865897,0.2048059,0.21859409,0.2234564,0.2188824,0.20677452,0.19040324,0.17316644,0.15868245,0.15080781,0.15414532,0.17078395,0.19684012,0.22081423,0.23040317,0.22053225,0.19719267,0.17176138,0.1538251,0.14890398,0.16113192,0.19345392,0.24324854,0.29836544,0.34219673,0.36305735,0.3616829,0.3478543,0.3332734,0.32565644,0.3296847,0.3499105,0.3894619,0.44523284,0.5038113,0.54732436,0.5622688,0.5470404,0.5092097,0.46091673,0.41319862,0.3763646,0.3602105,0.37302694,0.41362795,0.4643073,0.49669275,0.48960498,0.4466277,0.39026228,0.34482297,0.3185741,0.30724132,0.30238292,0.30132297,0.30466822,0.31325924,0.32333636,0.32965803,0.3287629,0.3235334,0.3199468,0.32293257,0.33218065,0.3440087,0.35426494,0.3601276,0.3595687,0.35127857,0.33563074,0.3155643,0.2949771,0.27639434,0.25857094,0.23753457,0.20995116,0.17806609,0.15103151,0.14088655,0.15446876,0.18767846,0.22671491,0.25636494,0.2690191,0.26732138,0.2591109,0.24926585,0.23706621,0.22012363,0.20163547,0.19072372,0.19575882,0.2152801,0.23843189,0.2525047,0.25160965,0.23676087,0.21276796,0.18541926,0.16242053,0.1517887,0.15773018,0.17737864,0.20289505,0.22745347,0.24674694,0.25628084,0.24891281,0.2221933,0.188375,0.17676497,0.21587712,0.31036356,0.4282097,0.5206065,0.5527623,0.5271081,0.47236964,0.41945937,0.38230756,0.35927972,0.3441268,0.33326727,0.32699057,0.32566366,0.32845113,0.3325652,0.3353559,0.3350196,0.33154222,0.3257676,0.31960797,0.31472197,0.3127978,0.3142668,0.31946477,0.3278444,0.33813548,0.3478854,0.35460904,0.3577561,0.3585004,0.35893294,0.35962617,0.359571,0.35632452,0.34786797,0.3346318,0.32104364,0.31402084,0.31837925,0.3324989,0.3485082,0.3578173,0.35724714,0.3508894,0.34480286,0.3412868,0.33689156,0.32763645,0.31350777,0.2985659,0.28695258,0.27905595,0.2723577,0.26277307,0.24771522,0.2270261,0.20443378,0.18689321,0.18147153,0.1917416,0.21532696,0.2454915,0.27341923,0.29045987,0.29012108,0.27111533,0.23974322,0.20831643,0.18935102,0.18899839,0.2043346,0.2258114,0.24358594,0.2525636,0.25336802,0.2490403,0.24126458,0.2308783,0.21897899,0.21000086,0.20828336,0.21727355,0.23429322,0.25337157,0.26573503,0.26670012,0.25640067,0.24139015,0.2303059,0.231233,0.2473399,0.27562547,0.30739227,0.33313897,0.34728184,0.35088024,0.3488332,0.3463384,0.34691262,0.3547635,0.37668124,0.4175241,0.47274646,0.5237734,0.5493998,0.5384,0.4989843,0.44785592,0.40115523,0.36543772,0.34489095,0.34379566,0.3680574,0.415589,0.47179714,0.51445776,0.5263314,0.5062286,0.46524385,0.4194791,0.37921372,0.3485606,0.32573843,0.30822775,0.29444206,0.2848335,0.28007543,0.27997577,0.28286824,0.28689578,0.28972903,0.28956756,0.2853489,0.27979505,0.27833614,0.2855201,0.2995133,0.3127276,0.31818458,0.31475702,0.30711314,0.29957986,0.2928885,0.284168,0.2712566,0.25555566,0.24218208,0.23704456,0.24230556,0.25478038,0.26692542,0.27172768,0.26526058,0.24864088,0.22626083,0.2049085,0.19006789,0.18359496,0.18208535,0.18055677,0.17713289,0.17635012,0.18497805,0.20627725,0.23489435,0.26129606,0.27649626,0.27774766,0.26667383,0.24871373,0.22997133,0.21606328,0.20904648,0.20777823,0.20884629,0.20884319,0.20391281,0.19377552,0.1857629,0.19933784,0.25263032,0.34711933,0.45422426,0.5346475,0.56060934,0.5362765,0.4840064,0.42933008,0.38456702,0.3531289,0.33218503,0.3195401,0.3130689,0.31289604,0.3185611,0.3289714,0.33979663,0.34653464,0.34528863,0.33656982,0.32336757,0.31072307,0.3023133,0.29990754,0.30320403,0.31009963,0.3184427,0.32538906,0.3296068,0.33003148,0.32764116,0.32365742,0.31993666,0.316983,0.31442285,0.311204,0.30750552,0.30430546,0.30243555,0.30035296,0.29522085,0.28462338,0.26959026,0.25375563,0.24162589,0.23472007,0.23165034,0.22997463,0.22966462,0.23269789,0.239648,0.24753742,0.25069955,0.24469604,0.22880328,0.20733565,0.1890353,0.18260111,0.19152194,0.21023251,0.22832139,0.23612386,0.2304103,0.21432401,0.19701077,0.1881792,0.19286625,0.20498244,0.21171229,0.20171785,0.1748658,0.14054541,0.11195438,0.098986395,0.10751758,0.13733761,0.18204404,0.22809863,0.26308757,0.28106323,0.2854877,0.2808367,0.26865506,0.24732445,0.2193046,0.19223207,0.17619173,0.17561306,0.18729563,0.20191085,0.21173753,0.214094,0.21216035,0.21100323,0.21520884,0.22637533,0.24209267,0.2565719,0.26428753,0.2632735,0.25513816,0.24365489,0.23286557,0.22662736,0.22486156,0.22343786,0.21583813,0.19985785,0.17870288,0.15913963,0.14702164,0.14647429,0.15963723,0.18515755,0.216359,0.24268095,0.25600958,0.2560924,0.25072882,0.2497104,0.25787938,0.27289584,0.28763118,0.29581472,0.29521087,0.28832734,0.27965507,0.27261117,0.26788545,0.26421702,0.26056668,0.25692773,0.25375417,0.25141203,0.25149667,0.25658306,0.2675362,0.2797831,0.28554174,0.2796684,0.26390523,0.24409293,0.22459035,0.20559858,0.18515413,0.1629104,0.14272155,0.13117076,0.13342786,0.14791052,0.16682464,0.18137334,0.18832599,0.19031377,0.19052689,0.18905449,0.1839628,0.17744823,0.17657001,0.18905641,0.21475346,0.24304272,0.25814462,0.24991442,0.22189313,0.18965898,0.16990882,0.1692243,0.18107241,0.19463854,0.20373856,0.21007092,0.21701002,0.22499822,0.23047537,0.22979641,0.22183774,0.20913762,0.19843824,0.20102619,0.23143697,0.29783535,0.39226237,0.48622832,0.54684395,0.5546252,0.51618683,0.45332992,0.39053634,0.341637,0.31052634,0.29266724,0.28210628,0.2748426,0.2710144,0.2722634,0.27854264,0.28664228,0.29158536,0.29015064,0.2826728,0.27332136,0.26669782,0.26614955,0.27178156,0.28240585,0.2955974,0.30936864,0.32122517,0.32966653,0.33390507,0.33432248,0.33083472,0.32286432,0.3111126,0.29886615,0.29155913,0.29233977,0.300475,0.31169856,0.32201076,0.32905617,0.33187184,0.33039176,0.32532617,0.3194944,0.31519094,0.3137754,0.31318018,0.31212494,0.30953145,0.30637625,0.30257797,0.29857263,0.29510483,0.29350448,0.29356992,0.29257503,0.28659794,0.27432963,0.25955924,0.25030774,0.25287881,0.26735052,0.28745008,0.3058212,0.319024,0.32728413,0.33198795,0.33229652,0.32697535,0.3162112,0.30352637,0.29371604,0.28971747,0.29070535,0.29194784,0.28789964,0.2750332,0.25510526,0.23425752,0.2198867,0.21582948,0.2210681,0.23117481,0.2416278,0.24951772,0.25421944,0.25685504,0.2594391,0.2640668,0.27159855,0.28088495,0.28790513,0.28815913,0.27983084,0.2664556,0.2547265,0.2504637,0.25586757,0.2707757,0.29624867,0.33580247,0.3912132,0.45503005,0.50856733,0.5317109,0.5164744,0.4729071,0.41994867,0.37409425,0.34354615,0.33203506,0.3433003,0.3789586,0.4338965,0.4901537,0.52715236,0.53067964,0.50564474,0.4661957,0.42913127,0.40190673,0.38640615,0.37900743,0.3754163,0.3710365,0.36341608,0.35254362,0.33996323,0.32783124,0.31793535,0.3127763,0.31416425,0.32247603,0.3341994,0.34413615,0.3474389,0.34310222,0.33326557,0.32172918,0.31083846,0.30107293,0.29182363,0.28370312,0.27838016,0.27746895,0.28019992,0.2837479,0.28431606,0.2800088,0.27135482,0.2614719,0.25343484,0.24919224,0.2478683,0.24703068,0.24338059,0.23524344,0.22305427,0.20995404,0.20017807,0.19736393,0.20300657,0.21509202,0.22910446,0.23854446,0.2391209,0.22987889,0.2143737,0.19631802,0.17822482,0.16095476,0.1472172,0.14092031,0.14495009,0.15681803,0.16932033,0.17399903,0.17002554,0.16958494,0.19758296,0.2728349,0.3894198,0.50788254,0.58120614,0.5838191,0.5291093,0.4503684,0.37820935,0.3250722,0.29084954,0.26979506,0.2562236,0.24516697,0.2335366,0.22091575,0.20894451,0.20001067,0.1957389,0.19668202,0.20243496,0.21133111,0.2205913,0.22652781,0.22628574,0.21900214,0.20673911,0.19347088,0.18390922,0.1815073,0.1877956,0.2009591,0.21699148,0.23052722,0.23815413,0.238102,0.2303685,0.21481724,0.19250607,0.16597037,0.13984673,0.118997656,0.10736019,0.10694513,0.1193027,0.14474852,0.18092549,0.21965976,0.24990098,0.26272252,0.25576583,0.23173575,0.1954901,0.15339108,0.11398319,0.08663621,0.07812164,0.08938957,0.11562139,0.14753915,0.1755696,0.19379775,0.20260285,0.20642966,0.20958419,0.21381605,0.21948542,0.22717021,0.2374184,0.24880946,0.2576758,0.26013735,0.2552643,0.24631494,0.23856431,0.23577988,0.23760791,0.24057241,0.24078648,0.23679823,0.23019749,0.22419752,0.22142963,0.22202249,0.22348231,0.22220947,0.21624376,0.20701022,0.19821312,0.19296469,0.19123495,0.19075286,0.18927853,0.1866855,0.1841348,0.18242526,0.1807272,0.1773296,0.17111348,0.16258146,0.15344067,0.14538269,0.13897337,0.13375534,0.12883802,0.124079466,0.11980552,0.11668587,0.11429354,0.1117613,0.10795656,0.103124715,0.098712035,0.09725865,0.10125253,0.111537956,0.12651186,0.14207119,0.15447962,0.16199206,0.16556942,0.16685615,0.16691686,0.16609114,0.1642916,0.16120099,0.15550636,0.14563812,0.13098511,0.11350918,0.09693868,0.084511966,0.07695573,0.07308201,0.071832485,0.07425573,0.082624756,0.09892415,0.121689856,0.14665698,0.16796644,0.18269075,0.19108494,0.19568579,0.19792849,0.19794099,0.1955062,0.19132592,0.18657751,0.18150876,0.17469436,0.16347432,0.14613745,0.12360508,0.09986234,0.07974621,0.06825901,0.07027639,0.09151057,0.13207482,0.18268935,0.22327352,0.23762332,0.22215767,0.18986394,0.15649007,0.1322153,0.12028057,0.12629195,0.16474286,0.24593966,0.3584559,0.45628086,0.48895225,0.43494293,0.32432112,0.20830156,0.12606372,0.08378313,0.07253752,0.08684668,0.13379155,0.21799451,0.32725525,0.42866716,0.48768148,0.48833513,0.44150373,0.37346426,0.30986908,0.26591185,0.24469455,0.24173222,0.24960022,0.2624046,0.27568278,0.2867912,0.29414353,0.29810646,0.29952696,0.29912028,0.29723945,0.29470846,0.29300913,0.2932273,0.29519644,0.29725692,0.29777265,0.29639706,0.29436365,0.29282105,0.29166827,0.28924918,0.28447378,0.27814287,0.27444327,0.27756855,0.28938523,0.30555078,0.31924623,0.32341173,0.31621215,0.29991993,0.28084406,0.2652396,0.25780448,0.26056266,0.27235422,0.28911188,0.30347252,0.30989048,0.30704072,0.29963323,0.29277107,0.28897557,0.28683165,0.28390935,0.27945462,0.2748679,0.27265105,0.27302334,0.27318943,0.2683935,0.25601846,0.23774666,0.21878755,0.2048216,0.19966917,0.20524625,0.22148927,0.24532919,0.27013627,0.2885991,0.2975762,0.29970202,0.30028942,0.30230838,0.3052337,0.30677715,0.3057668,0.30298904,0.30080044,0.3016032,0.30589023,0.31114456,0.3124063,0.30492464,0.28713414,0.26222837,0.23750155,0.22123028,0.22026356,0.23639488,0.26649806,0.30148253,0.3322561,0.35152733,0.35778657,0.3502867,0.32920137,0.29520428,0.2571145,0.23248118,0.24289453,0.29657066,0.37878737,0.45420566,0.489812,0.4723855,0.41406393,0.3385543,0.2683147,0.21772468,0.19601502,0.21093829,0.26423416,0.34386376,0.41915324,0.4582846,0.44723663,0.40218666,0.35158655,0.31787524,0.30403674,0.3025987,0.30434525,0.3060104,0.30736908,0.30915603,0.31040156,0.31037438,0.3087316,0.30653784,0.30484292,0.3052034,0.3086826,0.3157147,0.3240364,0.3293024,0.3262772,0.31344533,0.29399312,0.27496958,0.26187465,0.25625196,0.2556984,0.2573966,0.26056448,0.26694468,0.2785151,0.2949214,0.31228378,0.32583705,0.33295634,0.33452332,0.33284992,0.32953873,0.3253843,0.32097057,0.31758288,0.31662723,0.31936762,0.3255998,0.33311817,0.3383955,0.33834878,0.33163416,0.31897533,0.3032863,0.28972808,0.28354895,0.28769943,0.30043402,0.3172636,0.33227518,0.34107974,0.3408308,0.33278432,0.3210192,0.3118992,0.31051692,0.3224043,0.35250664,0.40151128,0.45804858,0.49943265,0.5058325,0.47420135,0.42184898,0.37083074,0.33681083,0.32214037,0.3230978,0.33228156,0.34335962,0.3503419,0.349154,0.33744815,0.3158653,0.28954372,0.26629764,0.25314438,0.25086996,0.25518864,0.259474,0.2608532,0.25963318,0.2586634,0.25889793,0.2605112,0.2630421,0.2673222,0.27363563,0.28087905,0.28649414,0.28780767,0.28240013,0.26861742,0.2466079,0.22039092,0.19655383,0.1811561,0.17562394,0.17711729,0.18099785,0.18519586,0.19078183,0.20110624,0.21596593,0.23066793,0.23647822,0.2292713,0.21131682,0.19077212,0.17381005,0.16240387,0.15507351,0.15108658,0.15265138,0.16302986,0.18333437,0.2093222,0.23395436,0.251278,0.26017186,0.2628997,0.26261696,0.26089814,0.25814858,0.25437823,0.25159058,0.25245592,0.2594776,0.26996243,0.27828968,0.27632,0.26064765,0.23219417,0.1984698,0.16828842,0.150216,0.14903462,0.1651464,0.19416796,0.22686493,0.25342086,0.26585114,0.26248828,0.2463562,0.2251787,0.20744604,0.200239,0.2066542,0.22506315,0.25048393,0.2752402,0.29304025,0.3004589,0.2990481,0.29178223,0.28086433,0.2670784,0.25431702,0.25334522,0.27892342,0.3369477,0.4132943,0.4760917,0.49608144,0.4647583,0.39736494,0.31877786,0.25004017,0.20384878,0.18799095,0.20894349,0.2681305,0.35449135,0.4399161,0.49154723,0.49014792,0.44300902,0.3748518,0.3123354,0.27051625,0.25322673,0.25556526,0.26983872,0.28760257,0.3034234,0.31504658,0.32316625,0.32935038,0.33417523,0.33731794,0.33825374,0.33819196,0.33914307,0.34219494,0.3459771,0.34777093,0.34611687,0.34143963,0.33511665,0.32773787,0.31956935,0.31150433,0.30533966,0.30260608,0.30304992,0.3042716,0.30243912,0.2946671,0.28094888,0.2649383,0.2513523,0.24318315,0.24008423,0.24039756,0.24344517,0.2506523,0.26400733,0.28318334,0.30416316,0.31986427,0.3251388,0.32003072,0.31122127,0.30557767,0.30491754,0.3034517,0.2954125,0.2820461,0.2720885,0.2728201,0.28188208,0.29030195,0.29098272,0.28577915,0.28103995,0.2811468,0.28589913,0.29558668,0.3167409,0.35641053,0.41279534,0.46611777,0.4920332,0.4761369,0.42827752,0.37065396,0.32501176,0.29836425,0.28670314,0.28116456,0.27660203,0.27207527,0.26842955,0.26486108,0.2602037,0.25524655,0.25358963,0.25735548,0.26479867,0.27091953,0.27327874,0.27387646,0.2778817,0.2880682,0.30293083,0.31776142,0.3283064,0.33284965,0.33175585,0.32655457,0.3190156,0.31143078,0.30602562,0.30412933,0.30556357,0.30868694,0.31138328,0.3113594,0.30717564,0.2981901,0.2855878,0.27184653,0.2613827,0.25870487,0.26623943,0.28038773,0.2920471,0.29130912,0.2751843,0.24954677,0.22495735,0.20862167,0.2015884,0.20040219,0.20201093,0.20562519,0.212238,0.22179775,0.23235954,0.24196069,0.25230575,0.26755157,0.28891936,0.3093275,0.31837836,0.31209388,0.29918882,0.2930505,0.2992327,0.30917707,0.30978465,0.2962979,0.27769658,0.26630735,0.26620638,0.27002567,0.2692709,0.26372194,0.26085865,0.26608118,0.2748833,0.27748224,0.26830176,0.2532523,0.24297805,0.24392653,0.25223413,0.26032647,0.26447836,0.26885352,0.27963474,0.29862753,0.32055572,0.33754882,0.34412432,0.33869293,0.3224962,0.298996,0.2772087,0.27123472,0.2949257,0.34940258,0.41666797,0.46634546,0.4735894,0.43503854,0.36692405,0.29343373,0.23252821,0.19549441,0.1895911,0.22126879,0.28849456,0.37392235,0.4458004,0.47563648,0.4565324,0.407154,0.35493693,0.316728,0.29280412,0.27623615,0.26400962,0.25851557,0.26208943,0.2716525,0.28158876,0.2880095,0.29161087,0.29413342,0.29603946,0.2965171,0.29627702,0.2983578,0.30527195,0.31615183,0.32622108,0.33128664,0.3307084,0.3278906,0.3261813,0.32681397,0.32879522,0.3309702,0.3331013,0.33514735,0.3368859,0.33726063,0.33629593,0.33521852,0.3364716,0.34123,0.34885812,0.35683647,0.36234155,0.36285186,0.35839534,0.35121605,0.34547785,0.34254494,0.34081313,0.33525968,0.32232013,0.30092847,0.2749268,0.25068855,0.23536094,0.23295319,0.24277389,0.25973698,0.2769767,0.29006508,0.2983501,0.30393544,0.30810544,0.31049466,0.3109165,0.3121499,0.32105553,0.3462193,0.39031017,0.44430563,0.48633304,0.4969399,0.47013542,0.4199936,0.36574134,0.32229578,0.29315886,0.27688196,0.26992777,0.2688171,0.2697475,0.2693726,0.2659481,0.25866312,0.24692984,0.230462,0.2101714,0.189618,0.17362024,0.16790438,0.17469127,0.19219261,0.21239197,0.22799045,0.23530196,0.23805214,0.24032132,0.24318217,0.24204595,0.2335731,0.22005625,0.21133322,0.21652396,0.23708904,0.26327002,0.2816775,0.28233257,0.26413366,0.23259145,0.19765337,0.16971916,0.15761878,0.16538018,0.1909361,0.22581537,0.25883424,0.2812827,0.29143295,0.29337314,0.292115,0.2884709,0.27941516,0.26293734,0.24311888,0.22849452,0.22442323,0.22658618,0.2248104,0.21252982,0.1932125,0.17502443,0.16370447,0.15972148,0.16335559,0.17744072,0.20382845,0.23818259,0.2690924,0.28653118,0.28714523,0.27550173,0.25645435,0.2329024,0.20637421,0.18202204,0.16855592,0.17469554,0.20254116,0.24417233,0.2845879,0.31093502,0.32003203,0.31797096,0.3128351,0.30855286,0.30489388,0.30071682,0.29602626,0.29128805,0.28618082,0.2801031,0.27284244,0.26543552,0.25904152,0.25466856,0.25264966,0.25303563,0.25521863,0.25793067,0.2597673,0.2599521,0.25862482,0.25632676,0.25371918,0.25144228,0.24995069,0.24902336,0.24763773,0.24475436,0.24014562,0.2347428,0.2297364,0.22584145,0.22280689,0.22001386,0.21704632,0.21418257,0.21202634,0.21098436,0.2107749,0.21071874,0.21012668,0.20881134,0.20691276,0.2048254,0.20281844,0.20116167,0.19994612,0.19923161,0.19876927,0.1982357,0.19713207,0.19506772,0.19100995,0.18304914,0.16833788,0.14556108,0.11683894,0.08839042,0.06681469,0.055642575,0.053453937,0.056553464,0.06146756,0.06673927,0.07178796,0.07635915,0.0799293,0.08239517,0.08412999,0.0857841,0.08795017,0.090622805,0.09377005,0.09712466,0.10092366,0.10510803,0.109605856,0.11396539,0.117996715,0.12176157,0.12534969,0.12865365,0.13139826,0.13377656,0.13656344,0.14081727,0.14715382,0.15540875,0.16479635,0.17434613,0.18325691,0.1911441,0.1980054,0.20380199,0.20774055,0.20767538,0.20061308,0.18438618,0.15976034,0.13116035,0.10469397,0.08509212,0.073456354,0.068039805,0.06610518,0.06569558,0.066928186,0.07267386,0.08889256,0.11969463,0.1629418,0.20668314,0.23731975,0.24765895,0.24377507,0.23775153,0.23944062,0.24944174,0.2635082,0.2773992,0.29007462,0.30060065,0.30689776,0.30682883,0.30071774,0.29110032,0.28046167,0.26947245,0.2569413,0.24093054,0.22081465,0.19913252,0.18210769,0.17667621,0.18611896,0.2075147,0.23362248,0.2567052,0.2708265,0.27153954,0.255928,0.22477002,0.1843112,0.14430515,0.11322508,0.09600798,0.09607786,0.11566546,0.15270568,0.19620241,0.23102684,0.245564,0.2380717,0.21295433,0.17673938,0.13621369,0.1005057,0.080349006,0.08440372,0.11251354,0.15297474,0.18524505,0.19285123,0.17283493,0.13796826,0.10440576,0.08288536,0.075665824,0.08353896,0.10708296,0.14504378,0.1891772,0.22776008,0.2506056,0.2556862,0.24757557,0.23424083,0.22229426,0.2153691,0.21477075,0.21968096,0.2289417,0.24024351,0.25161886,0.2607343,0.26624903,0.2675403,0.26567912,0.26282278,0.2610697,0.2601923,0.2577245,0.251856,0.24454612,0.24083263,0.24398951,0.25225243,0.25970152,0.26039386,0.25090182,0.23072745,0.20215565,0.16990359,0.13964346,0.11512493,0.096883275,0.08361602,0.07482472,0.07164773,0.07576391,0.08814978,0.108590566,0.13612717,0.16809146,0.20038737,0.22706842,0.24322192,0.24552442,0.23365264,0.2091258,0.17636202,0.1426952,0.1165531,0.10346011,0.10326842,0.112425566,0.12788282,0.14870037,0.1737317,0.19907354,0.21992189,0.23371477,0.24216117,0.24824709,0.25303772,0.2551843,0.2533049,0.24890904,0.24482179,0.24321218,0.24293993,0.24182554,0.2382737,0.23323213,0.22837317,0.22543877,0.2246979,0.22601552,0.22802071,0.22979099,0.2305608,0.23151328,0.23395097,0.23842883,0.24307148,0.24522255,0.24375461,0.24025238,0.2379372,0.23879935,0.24268363,0.24782367,0.2530294,0.2582487,0.26388457,0.26908228,0.2715722,0.2688314,0.2603546,0.2483017,0.23645075,0.22771896,0.22253834,0.21942703,0.21643414,0.21280678,0.2087576,0.2052422,0.20305245,0.20257992,0.20354854,0.2052716,0.20728193,0.20929705,0.21114327,0.2121736,0.21188478,0.21013407,0.20742416,0.20432024,0.2012949,0.1988125,0.19710816,0.19594646,0.19447385,0.19210218,0.1889844,0.18570311,0.18256934,0.17938508,0.17613922,0.1732087,0.17117961,0.1704471,0.17099297,0.17270477,0.17493504,0.17713243,0.17848884,0.1788863,0.1780309,0.17624073,0.17397071,0.17255716,0.17283241,0.1748364,0.17718284,0.17846017,0.17758493,0.17489529,0.17135869,0.1687516,0.16777515,0.16828091,0.16857809,0.16763574,0.16506511,0.16197836,0.15913686,0.15672868,0.15376973,0.14940293,0.14383103,0.1386259,0.13593692,0.13675563,0.1403607,0.1444363,0.1468138,0.14652753,0.14443256,0.14232014,0.14191861,0.14406739,0.14872257,0.15507527,0.16181518,0.16733839,0.1705448,0.17130487,0.1706502,0.1700995,0.17088468,0.17312188,0.17557813,0.17656773,0.1753187,0.17266959,0.16998613,0.1679482,0.16625793,0.16459678,0.16287412,0.16103686,0.15893929,0.15707119,0.15650988,0.157892,0.16031909,0.16198677,0.16174167,0.16000259,0.15803057,0.15678293,0.15627426,0.15602429,0.15555507,0.1548547,0.15403815,0.15327203,0.15261349,0.15233503,0.15263952,0.1534908,0.15457462,0.15580107,0.15731384,0.1590636,0.16036983,0.16045897,0.15924756,0.15766774,0.1567781,0.15675835,0.15667252,0.15530233,0.15237427,0.14871198,0.14583273,0.1445467,0.14473517,0.14517832,0.14483008,0.14328219,0.14123726,0.1396755,0.13925435,0.13989864,0.1412362,0.14281367,0.14412145,0.14416774,0.14202721,0.13756113,0.13235034,0.12883003,0.12887125,0.13214009,0.13643849,0.13913457,0.13891028,0.1362765,0.1328458,0.13034266,0.12961186,0.13055013,0.13219576,0.133525,0.13386475,0.13320082,0.13206299,0.13124846,0.1316184,0.13353372,0.13672663,0.1401828,0.14279078,0.1438839,0.14365424,0.14306961,0.14320536,0.14464991,0.14711738,0.14985141,0.15212707,0.15343727,0.15357943,0.15268527,0.15153767,0.15113413,0.15202628,0.15383631,0.15553874,0.15621972,0.15541822,0.15340923,0.15095465,0.14911826,0.14854018,0.14919771,0.1502613,0.15080921,0.1500015,0.14791453,0.14522643,0.14352737,0.14383127,0.14632134,0.14942943,0.15116759,0.14972286,0.14500742,0.13846254,0.13269575,0.12961733,0.12946354,0.13052692,0.1305884,0.12823518,0.12369282,0.11842453,0.114220254,0.112243704,0.11249671,0.114103206,0.11598628,0.11786964,0.12036998,0.12447038,0.13020866,0.13636048,0.14091283,0.1425702,0.14144652,0.13889432,0.13613717,0.13341773,0.13023572,0.12673295,0.12430457,0.12466359,0.1281158,0.13302565,0.1370635,0.1387571,0.13833195,0.1370409,0.1365097,0.1377383,0.14098193,0.145622,0.1506013,0.1546815,0.15667783,0.15609683,0.15351118,0.15062927,0.14903618,0.1491738,0.15007664,0.15029527,0.14898764,0.14627008,0.14321017,0.1411718,0.14128374,0.14360662,0.1470704,0.14999992,0.15104155,0.14975436,0.14642836,0.14185752,0.1368926,0.13229619,0.1283705,0.12507479,0.12247587,0.1212686,0.12247622,0.12643155,0.1319495,0.13679887,0.13906266,0.13833614,0.1356462,0.13256526,0.13024473,0.12911262,0.12903915,0.12963553,0.13047238,0.13115357,0.13158892,0.13208969,0.13342048,0.13623965,0.14065637,0.14583288,0.15035383,0.1527696,0.15240397,0.14953429,0.14532559,0.14114487,0.13818939,0.13696258,0.13720256,0.13779607,0.13735314,0.1350351,0.13135146,0.12797318,0.12665461,0.12774546,0.12985022,0.13055778,0.12844795,0.12397475,0.11952352,0.11728888,0.11797216,0.11976472,0.12011597,0.11716107,0.111522794,0.10530242,0.10075275,0.09793308,0.09460005,0.08752722,0.07534779,0.05985027,0.044818148,0.0332943,0.025862098,0.021194229,0.017752383,0.015275072,0.015118438,0.019745525,0.03073035,0.047025457,0.064249106,0.077300996,0.083225526,0.08293394,0.07961825,0.07650062,0.07523051,0.07587279,0.07765946,0.07990136,0.08229939,0.08480116,0.08693469,0.088061534,0.08770367,0.08618185,0.08416686,0.08233144,0.08095085,0.080057345,0.07951074,0.07907916,0.07854576,0.07778538,0.076830454,0.07572439,0.07443547,0.07289744,0.071008876,0.068883516,0.06656179,0.06425064,0.06192879,0.059757214,0.057805832,0.056249917,0.055055518,0.054033224,0.05295408,0.051762357,0.0506648,0.049945727,0.0497759,0.050080996,0.050615326,0.051019933,0.0510418,0.050511118,0.04949245,0.048095215,0.04654044,0.04502208,0.043677222,0.042533234,0.041415468,0.040187493,0.03869242,0.037022114,0.035233084,0.03351223,0.031942237,0.030689327,0.02982475,0.029392993,0.029325016,0.029529504,0.029894093,0.030301714,0.030584738,0.030581003,0.030167112,0.029370533,0.028315844,0.027216395,0.02623333,0.025444573,0.024799077,0.024184505,0.02351725,0.022775771,0.022009375,0.021235595,0.020475416,0.019720623,0.0190384,0.018473862,0.018080635,0.017811457,0.017625533,0.017447667,0.017257862,0.01701407,0.016706536,0.016321333,0.015888914,0.015443132,0.015007831,0.014578684,0.014135336,0.01368555,0.013241076,0.01282994,0.012431745,0.012030923,0.011577967,0.011058229,0.0104407,0.009744755,0.0089937905,0.008249181,0.007540211,0.006879378,0.0062467814,0.005635207,0.005051328,0.0045158854,0.004043009,0.003636149,0.0032893168,0.002995561,0.0027423326,0.002517335,0.002301736,0.0020880902,0.0018727822,0.0016686505,0.0014841072,0.00132785,0.0011934958,0.0010730361,0.00095618464,0.0008413696,0.0007307955,0.0006280665,0.0005338597,0.0004469366,0.00036749852,0.0002974928,0.00023975491,0.00019460866,0.00016013789,0.00013296603,0.0001106016,9.154739E-05,7.524821E-05,6.140787E-05,4.985814E-05,4.032395E-05,3.233013E-05,2.5359239E-05,1.9124956E-05,1.381406E-05,9.99933E-06,8.336074E-06]