[0.00028347122,0.00023927835,0.00015544043,7.672255E-05,2.8113262E-05,9.1172915E-06,4.449544E-06,3.7712869E-06,3.141112E-06,2.7258272E-06,2.6277894E-06,2.6804948E-06,2.6531998E-06,2.4551011E-06,2.2262354E-06,2.192394E-06,2.5962056E-06,4.465502E-06,1.0714709E-05,2.7098062E-05,6.0268958E-05,0.000118094635,0.00020776897,0.000342235,0.0005293687,0.0007718348,0.0010420867,0.0013021575,0.0015061336,0.0016574989,0.0018099727,0.0020638055,0.0024835316,0.00304156,0.0036128045,0.004057549,0.0043421425,0.004598513,0.0050427676,0.005782492,0.0066628153,0.0073653143,0.007704463,0.007828721,0.008142988,0.008923876,0.010160972,0.011538353,0.012805882,0.013869453,0.014848503,0.015776848,0.01659078,0.017187608,0.017605579,0.017887173,0.017958729,0.017717293,0.017284095,0.01697827,0.017062766,0.017625367,0.018693915,0.020292321,0.022279061,0.02431549,0.02599515,0.027128033,0.027821958,0.028474433,0.029492691,0.030947661,0.03243455,0.03346616,0.03392442,0.034203406,0.03456768,0.034927577,0.035555806,0.03867236,0.049220707,0.07140022,0.10451827,0.13985114,0.1664385,0.17735167,0.17484377,0.16607732,0.15826261,0.15422332,0.15317404,0.15254895,0.15071343,0.14796115,0.146281,0.14761372,0.1530085,0.16183428,0.17239481,0.18178855,0.18773477,0.18929659,0.18809092,0.18675922,0.18787847,0.19197845,0.19788934,0.20296498,0.20565212,0.20522738,0.2028567,0.19876945,0.19355716,0.18661575,0.17869465,0.17035532,0.16293368,0.15712114,0.1537506,0.15399508,0.15860443,0.167126,0.17632528,0.18263209,0.18351905,0.18025476,0.17620416,0.17610325,0.18226303,0.1937535,0.20521615,0.21139051,0.20969252,0.20270318,0.19466273,0.1891007,0.18640856,0.1848125,0.18166323,0.17540301,0.16672026,0.15864514,0.15553026,0.16100337,0.17547031,0.1948858,0.2120585,0.22091286,0.21956378,0.21101308,0.20017119,0.19132018,0.18594742,0.1831267,0.18052553,0.17663442,0.17181802,0.16814144,0.1683511,0.17372231,0.18349491,0.19372135,0.20052868,0.20136432,0.1980462,0.19414388,0.19443323,0.20108223,0.21375132,0.22811131,0.23929806,0.24376573,0.24208991,0.2368809,0.23114528,0.22603841,0.22155382,0.21697544,0.2119299,0.20636785,0.20087415,0.1963151,0.19343336,0.19193403,0.19031413,0.18663287,0.18002354,0.17177708,0.16508715,0.16402207,0.17106666,0.18556453,0.20268184,0.21640861,0.22234148,0.22054918,0.21397793,0.2068802,0.20186527,0.19957425,0.19821961,0.1957156,0.19067985,0.18397166,0.17800431,0.17637597,0.18141232,0.19247961,0.2050057,0.2134589,0.21446359,0.20874333,0.199542,0.1907525,0.18528049,0.18425037,0.18643029,0.18905985,0.18979065,0.18884875,0.18863328,0.19206561,0.19964693,0.20926857,0.21712492,0.22075786,0.22024627,0.21804166,0.21719779,0.21939929,0.22427893,0.22928174,0.23177014,0.2303978,0.22613461,0.22097518,0.21662189,0.21369044,0.21174861,0.20992236,0.20732673,0.20348795,0.19879757,0.19441354,0.19234067,0.19356956,0.19747011,0.20101285,0.20152454,0.19797452,0.19267537,0.18949574,0.19297658,0.2048841,0.22335929,0.24206726,0.25482014,0.25834337,0.25440875,0.24653381,0.23767509,0.22872727,0.21958017,0.21002336,0.20006047,0.19022192,0.18212296,0.179196,0.1848275,0.19941388,0.21782231,0.23244442,0.23770384,0.23371793,0.22441822,0.21460153,0.20733881,0.2033664,0.20126861,0.19839539,0.19299287,0.18535633,0.17798884,0.17357065,0.17351075,0.1770217,0.18166727,0.184835,0.18468313,0.18152761,0.17727862,0.17553802,0.17884338,0.1873489,0.19733697,0.20421581,0.20499797,0.20036559,0.19285391,0.18502825,0.17826372,0.17290407,0.16880924,0.16527824,0.16185352,0.15874256,0.15761511,0.16028936,0.16696906,0.1749231,0.17983587,0.17871046,0.17159343,0.16115727,0.15046455,0.14165854,0.1354177,0.13148178,0.1290073,0.12702495,0.124711595,0.12154952,0.11735615,0.11229978,0.10681798,0.10172471,0.097663544,0.09526899,0.09539166,0.10075464,0.115560375,0.14260933,0.1791024,0.21609779,0.24373412,0.25719932,0.25858653,0.25331172,0.24577849,0.23801465,0.2305374,0.22403808,0.21956956,0.21784301,0.2185242,0.22027898,0.2222814,0.22425807,0.22622812,0.22697234,0.22510721,0.22014652,0.21392244,0.20950957,0.20947027,0.21411134,0.22120021,0.22745739,0.2303235,0.22893177,0.22376285,0.21571954,0.20597422,0.19546385,0.18508087,0.17507277,0.16592334,0.158485,0.154769,0.15650249,0.16395152,0.17433871,0.183321,0.1872919,0.18592371,0.18179883,0.17875254,0.17947859,0.18439168,0.19135897,0.19702102,0.19892138,0.1969256,0.19318603,0.19020756,0.1896674,0.19141251,0.1942684,0.19640677,0.19682775,0.19553232,0.19410236,0.19445173,0.19810076,0.2045458,0.21153712,0.21608002,0.21652204,0.21348752,0.209225,0.20632233,0.20599146,0.20783658,0.20979802,0.21004468,0.20788878,0.20471163,0.20256345,0.20304097,0.20577212,0.20861997,0.20879687,0.20488425,0.19809502,0.19153784,0.18877357,0.19162512,0.19997418,0.21113582,0.22175677,0.2285494,0.23058647,0.22853537,0.2244386,0.2197405,0.21514384,0.2103808,0.20508318,0.1995129,0.1948963,0.19330315,0.19640388,0.20428501,0.21450476,0.2231826,0.2270651,0.22551012,0.2204498,0.21522833,0.21342598,0.21783192,0.22962147,0.2466477,0.2644759,0.2777221,0.28410843,0.2842945,0.281781,0.2790605,0.27727643,0.27540982,0.27264643,0.2687266,0.26480612,0.26255223,0.2635622,0.26828682,0.2751219,0.2813822,0.28448224,0.28432867,0.2821915,0.28038225,0.27982178,0.28114522,0.28356668,0.28652284,0.28835067,0.28849065,0.2862905,0.28283715,0.2788084,0.2755166,0.27291587,0.27051178,0.266986,0.26200876,0.25692478,0.25436065,0.25613013,0.26152173,0.26734528,0.27043226,0.26954833,0.26612437,0.26239476,0.2598587,0.25862095,0.25783443,0.2565363,0.25394523,0.24979873,0.2446989,0.23998535,0.23765703,0.23867899,0.24258721,0.2471065,0.25014845,0.25098476,0.25091562,0.25233695,0.25706032,0.26531136,0.2752774,0.28466988,0.29133344,0.29419056,0.2925043,0.28663316,0.277748,0.2677581,0.25813138,0.24960239,0.24236836,0.2363456,0.23164278,0.2288739,0.2293063,0.23320045,0.23864186,0.24173689,0.23968245,0.23251784,0.22303869,0.21442212,0.20868267,0.20607354,0.20542258,0.20500435,0.2035897,0.20100112,0.19778855,0.19430722,0.19061379,0.18656057,0.18237256,0.17829983,0.17457472,0.17122263,0.16865252,0.16771217,0.16950028,0.1742159,0.18075453,0.1867485,0.18987866,0.18898596,0.18483154,0.1798191,0.17659067,0.17658533,0.17916311,0.1823793,0.18439351,0.18447393,0.18325426,0.18177538,0.18088728,0.18033968,0.17937236,0.17718847,0.17388825,0.17039055,0.16785796,0.16732389,0.16890861,0.17239033,0.17655109,0.1804403,0.18274112,0.18321092,0.18172024,0.17910208,0.17606354,0.17362405,0.1723495,0.17404203,0.18447034,0.21651547,0.28488073,0.39290214,0.5186815,0.61868006,0.6513228,0.6043021,0.5034698,0.39334762,0.30980834,0.26291832,0.24312843,0.23553728,0.23115557,0.22733428,0.2242917,0.22226101,0.22122861,0.220805,0.22034353,0.21866862,0.21493702,0.2088734,0.2015307,0.19444637,0.18908298,0.18534578,0.18234402,0.17888118,0.17543471,0.17351599,0.17608227,0.18464416,0.19874395,0.21395518,0.22549506,0.2302954,0.2297973,0.22726886,0.22553498,0.22521424,0.22553861,0.22572292,0.22507824,0.22331226,0.22014137,0.21612495,0.21231931,0.2096774,0.20796067,0.20569499,0.20160957,0.19598645,0.19125758,0.19042175,0.19477986,0.20241882,0.20911746,0.21154477,0.20940168,0.20550106,0.20277907,0.20268096,0.20427315,0.2061072,0.20680165,0.2064393,0.2055391,0.2050039,0.2047863,0.20502251,0.20599301,0.20835222,0.21141607,0.21304046,0.21101476,0.20646776,0.20718054,0.22860424,0.28724965,0.38746095,0.50796,0.6064629,0.64173025,0.602359,0.5123942,0.4149367,0.3421276,0.30388334,0.29021648,0.2887449,0.2905358,0.29416808,0.29897812,0.30451992,0.30776277,0.3056328,0.296317,0.28081667,0.2629026,0.24620272,0.23352486,0.22470158,0.21937509,0.21601635,0.21488945,0.2152611,0.21695954,0.21770479,0.2163801,0.2122161,0.20680793,0.20132434,0.19701304,0.19409627,0.19292104,0.19336063,0.1950291,0.19756944,0.20074208,0.2042054,0.20653339,0.20572703,0.20245267,0.20451659,0.22919638,0.29321542,0.39769593,0.51563936,0.6040475,0.6288888,0.5886969,0.5118055,0.43547606,0.38299358,0.3573037,0.34888455,0.34778783,0.34881863,0.35064748,0.3528638,0.35465217,0.35541025,0.3542769,0.35099164,0.34535226,0.33866122,0.33448827,0.34037885,0.36628303,0.41733262,0.4848447,0.54462045,0.5692676,0.54703814,0.48988238,0.42526853,0.3758892,0.3494736,0.339082,0.335215,0.33188316,0.328544,0.3258874,0.32394674,0.32160464,0.318231,0.3137325,0.3090031,0.30432644,0.300359,0.29691342,0.29443088,0.292473,0.29062974,0.28745803,0.2821583,0.2745866,0.26628956,0.2589977,0.25418213,0.25153545,0.24969698,0.24671495,0.24169296,0.23503993,0.22825344,0.22310333,0.22070687,0.22096157,0.22225533,0.22257942,0.22072397,0.21678907,0.21156375,0.2059155,0.20091623,0.19754277,0.19598217,0.19524002,0.19404836,0.19399832,0.20209722,0.23230483,0.29765582,0.3979691,0.5090203,0.59149,0.61554766,0.5820577,0.5209827,0.46612063,0.43464205,0.42204475,0.41675344,0.4103266,0.402393,0.39519057,0.39138022,0.38997996,0.38859585,0.38365856,0.3750567,0.3650718,0.35786796,0.3573378,0.36880338,0.39938784,0.4525605,0.5201567,0.57970995,0.60622627,0.5889471,0.53938264,0.48231497,0.437874,0.41234803,0.3998196,0.39293718,0.38712952,0.3821487,0.37782332,0.37369466,0.36814368,0.36023486,0.34996867,0.33826128,0.32619193,0.31628346,0.31570747,0.3382095,0.3966029,0.48888436,0.58752394,0.65018946,0.64545435,0.5753311,0.47219047,0.37512565,0.30700168,0.26858637,0.2489567,0.23738794,0.2289985,0.22312553,0.22038378,0.22043152,0.22200942,0.22284327,0.2213471,0.21633035,0.2086931,0.19975923,0.19218087,0.18704559,0.18460868,0.18280923,0.18014312,0.17570119,0.17104678,0.16883282,0.17240326,0.18225525,0.19450217,0.20121181,0.19641016,0.18035369,0.15994428,0.14274782,0.13254203,0.12801532,0.12589638,0.123430915,0.11986357,0.11588047,0.11317492,0.11386895,0.12001505,0.13210098,0.14735858,0.1602269,0.16556372,0.16297348,0.15703166,0.15413152,0.15745701,0.16658925,0.17859705,0.19130759,0.20265353,0.2115948,0.21666788,0.21781169,0.21527135,0.21108706,0.20762508,0.20728178,0.20994739,0.21266319,0.21146071,0.20443727,0.19330804,0.18126678,0.17029424,0.16025575,0.15023746,0.1431245,0.14902692,0.18714373,0.27429333,0.40843138,0.5556533,0.66305685,0.68902165,0.6306724,0.5235649,0.41587278,0.33964142,0.30025086,0.28528774,0.28042415,0.27725554,0.27422285,0.27247515,0.27289525,0.2742087,0.27251467,0.2648056,0.25049672,0.23352873,0.21788596,0.2068427,0.19971164,0.19543783,0.19154076,0.1878963,0.18400328,0.18142664,0.18064268,0.18316673,0.18842007,0.19481486,0.1985779,0.19701673,0.18999434,0.18007182,0.17063004,0.16300291,0.15722543,0.15177985,0.14638741,0.1407187,0.13625936,0.13696252,0.15370017,0.20256062,0.2942665,0.4178823,0.5354287,0.60074645,0.59040695,0.5211212,0.43586692,0.3722566,0.34253776,0.33650696,0.33945546,0.34246147,0.34375867,0.34334067,0.3411224,0.3363837,0.32863435,0.31827524,0.30651906,0.29533288,0.2872775,0.28735662,0.305155,0.3511875,0.427279,0.51493186,0.5794231,0.58972174,0.54205984,0.46306634,0.38903484,0.3416791,0.31945917,0.30959365,0.30132172,0.2921842,0.28336415,0.27632722,0.27060997,0.2654351,0.26005358,0.25424817,0.2482167,0.242112,0.2362169,0.2307436,0.22598039,0.22231345,0.21985841,0.21883981,0.21869518,0.21849124,0.21669714,0.21233986,0.20521694,0.19600248,0.18568231,0.17538202,0.16596256,0.15827234,0.15284747,0.15049492,0.15129943,0.15416639,0.1562913,0.15519598,0.15049762,0.14443325,0.13974763,0.13782944,0.13791676,0.13826108,0.13726433,0.13440974,0.13101287,0.13240089,0.1505967,0.20268357,0.2992765,0.42964473,0.55656034,0.63456744,0.6388313,0.5824368,0.5051053,0.4438862,0.4132229,0.40518382,0.40627038,0.40804633,0.40943,0.4105376,0.4105104,0.40669298,0.39787066,0.38450095,0.36959183,0.35555205,0.3443369,0.33882812,0.3469006,0.37894022,0.43804812,0.5107797,0.56936884,0.5896873,0.5668854,0.5189653,0.47072458,0.43936718,0.42662382,0.42579925,0.4269935,0.4235336,0.41117582,0.39162692,0.3686333,0.34754452,0.32900372,0.3124096,0.29685608,0.2870789,0.2922313,0.32349935,0.3871118,0.47611865,0.56894225,0.6336469,0.64584035,0.60049546,0.5180839,0.4302691,0.36356592,0.3266785,0.3131153,0.31106734,0.31175902,0.3119619,0.31150153,0.31087554,0.30996025,0.3082684,0.30552062,0.30194962,0.2979535,0.29398707,0.29039767,0.287271,0.2836657,0.27729103,0.2659774,0.24956511,0.23168395,0.21811788,0.21450944,0.22220701,0.23750389,0.25235525,0.25967947,0.2566689,0.2462564,0.23311491,0.22028643,0.20717065,0.19212681,0.17517783,0.16008411,0.15188164,0.15391962,0.1647066,0.17965452,0.19304931,0.20108645,0.20130004,0.1928233,0.17632489,0.15555216,0.13737322,0.12934215,0.13556574,0.1535812,0.17517097,0.19065873,0.19346416,0.18295904,0.16414823,0.14593089,0.13727288,0.14304738,0.16106904,0.18338084,0.20090681,0.20859985,0.206806,0.19953871,0.19101614,0.18393041,0.17876242,0.1746627,0.17217271,0.1774414,0.20529127,0.27311823,0.38653746,0.5248931,0.6441476,0.69947547,0.6735491,0.5868035,0.4823766,0.39786038,0.34791377,0.32547292,0.31649056,0.31107268,0.30634856,0.3034266,0.3031501,0.30491945,0.3051894,0.3007883,0.29020432,0.2763264,0.26305267,0.25398988,0.24965948,0.24925447,0.2506878,0.25241044,0.2531747,0.25247523,0.25065073,0.24880321,0.24839355,0.24922372,0.2495827,0.2472331,0.24187203,0.23474628,0.22748207,0.22062378,0.21393062,0.20635007,0.19657816,0.18383808,0.169949,0.16155441,0.17058457,0.2129457,0.29884312,0.4217566,0.55084294,0.64312047,0.6672754,0.6228849,0.53945905,0.45511794,0.39671838,0.36946607,0.3642771,0.36796296,0.37207103,0.37374255,0.37317133,0.37155998,0.36951283,0.3672221,0.36340454,0.35650203,0.3466872,0.33886442,0.34443843,0.37648603,0.44038495,0.5221142,0.59073037,0.61386806,0.5810527,0.5094817,0.43265244,0.37611568,0.34748268,0.33802292,0.33673277,0.33613047,0.3345193,0.33165982,0.32784387,0.32305917,0.31740752,0.31123522,0.30487052,0.2988435,0.2930865,0.28718293,0.28052178,0.27305815,0.26535586,0.2581407,0.2518261,0.24612923,0.2401715,0.2335992,0.22763307,0.22564578,0.23003483,0.23955178,0.24760723,0.24716677,0.23541312,0.21756576,0.20293987,0.19945145,0.20751834,0.22083084,0.23071961,0.2321514,0.22509341,0.21291602,0.19969867,0.18904968,0.18301034,0.18153046,0.18282454,0.187545,0.20228572,0.24153753,0.31802675,0.43012515,0.5514961,0.641071,0.6666565,0.62604904,0.548428,0.4725254,0.42430094,0.40584576,0.40471372,0.40759698,0.40840033,0.4071999,0.40474376,0.40094376,0.3948832,0.38673317,0.37791082,0.370471,0.36679327,0.3696766,0.38435623,0.41784847,0.4730114,0.5402968,0.59574205,0.6138803,0.585522,0.525974,0.46430346,0.42250225,0.40493616,0.40099588,0.3991731,0.39416468,0.38786757,0.3839406,0.38370028,0.38583124,0.3871001,0.38559648,0.38053083,0.37285468,0.36528873,0.3648318,0.38533518,0.43941498,0.5267219,0.6202254,0.678353,0.667325,0.5882731,0.47448787,0.37060246,0.30400038,0.27570212,0.269376,0.26838645,0.26553655,0.26250717,0.2637109,0.27101338,0.28176782,0.29070827,0.29371357,0.2904648,0.28398004,0.27739522,0.27214053,0.26781175,0.2638025,0.25932252,0.2532765,0.24423136,0.2321908,0.21986865,0.21274565,0.21508229,0.22633941,0.23937243,0.24595886,0.24219881,0.23153548,0.22019573,0.21255302,0.20859921,0.20600678,0.20238654,0.19704628,0.19080065,0.18537748,0.18181878,0.17975569,0.17754234,0.17360377,0.16755603,0.16011648,0.15247916,0.14540328,0.13924985,0.13379574,0.12852257,0.12270839,0.11619782,0.10957563,0.10411223,0.10107971,0.10174038,0.10668353,0.11537355,0.1251372,0.132539,0.13485606,0.13227795,0.1277652,0.12668525,0.13469735,0.15441965,0.1827146,0.21103306,0.2307971,0.24011685,0.2480346,0.27487648,0.34047553,0.44915405,0.5737676,0.667129,0.6886577,0.6344915,0.53826547,0.445734,0.3870724,0.36397782,0.36270797,0.3666012,0.36881152,0.3674918,0.3650202,0.36067262,0.3544922,0.34515488,0.3344697,0.32394767,0.31583047,0.31032538,0.30692568,0.304641,0.3023968,0.2997885,0.29598454,0.29180098,0.28760317,0.285202,0.28383538,0.28261092,0.2783407,0.27033356,0.2590128,0.24773549,0.2390507,0.23478718,0.23436801,0.2361932,0.23772903,0.23704664,0.23340084,0.22780119,0.22529142,0.236908,0.28009203,0.36611667,0.48574647,0.6012997,0.66602635,0.6538649,0.57869744,0.48325017,0.40834722,0.3712105,0.36359465,0.36846313,0.37299737,0.3734562,0.3711076,0.36838284,0.3665427,0.36548534,0.36336395,0.3584474,0.35008764,0.3414226,0.34019637,0.358844,0.4079961,0.48411974,0.5635183,0.6103592,0.6022087,0.5444282,0.46787128,0.40377334,0.36718145,0.3531159,0.34947523,0.34769368,0.3456664,0.3441446,0.34292504,0.34091306,0.33734313,0.33224848,0.32625434,0.3195986,0.3124394,0.30468032,0.29652727,0.2883304,0.27984872,0.27049693,0.2598567,0.24972667,0.24303593,0.24208891,0.24601637,0.25195697,0.25707507,0.26008692,0.26048556,0.25802433,0.25257194,0.24462016,0.23521602,0.2261321,0.2199332,0.21814905,0.2203223,0.22293098,0.2229029,0.21857165,0.21116008,0.20204157,0.19236924,0.18232618,0.17228484,0.1634435,0.16053432,0.17434394,0.22213422,0.315748,0.44756326,0.5809334,0.6684215,0.67898196,0.62047964,0.5309177,0.4518592,0.40507004,0.3875395,0.38575196,0.38717282,0.387696,0.38676324,0.3854679,0.38247824,0.3763164,0.36606845,0.35423478,0.3449688,0.34241232,0.350314,0.37448856,0.42218533,0.49360844,0.5738411,0.633468,0.64671344,0.60792667,0.53829134,0.46862197,0.42135778,0.39919302,0.3927082,0.3914398,0.39005652,0.3880291,0.38497928,0.3814822,0.3768256,0.37181684,0.36582646,0.3596398,0.35383475,0.3527886,0.3647866,0.40261796,0.47356954,0.5684962,0.6549701,0.693336,0.6606366,0.5702174,0.46068844,0.37158176,0.31984937,0.29997733,0.29624233,0.2964131,0.29532406,0.2927253,0.28990284,0.28830406,0.28844497,0.28947142,0.28917274,0.28542176,0.2775168,0.26645902,0.25470138,0.24457042,0.23761207,0.23305696,0.22934145,0.22506349,0.22141553,0.22079144,0.22559154,0.23487552,0.24464726,0.24916284,0.24540012,0.23434488,0.2199794,0.20585226,0.19407038,0.185649,0.18088038,0.17872138,0.17719121,0.17519729,0.17374356,0.17542295,0.18199567,0.19311927,0.20570059,0.2160126,0.2212538,0.22110166,0.21643454,0.20851047,0.19865648,0.18899544,0.18195836,0.17876793,0.17865193,0.17974107,0.18071884,0.18232971,0.18654267,0.1950698,0.20600134,0.21397185,0.21259867,0.20009021,0.18139823,0.16588147,0.16074993,0.1661516,0.17519349,0.17920281,0.1746404,0.16819908,0.17784859,0.22609575,0.32448718,0.45780858,0.5822659,0.64811224,0.62976044,0.5426106,0.42946446,0.3327973,0.2731117,0.2475794,0.2421577,0.24388385,0.24619794,0.24805091,0.25046366,0.2538612,0.25634232,0.25495148,0.24766266,0.23529601,0.22117959,0.20934884,0.20244849,0.19970757,0.19763412,0.19205783,0.18249948,0.17224473,0.16697687,0.1696545,0.17985868,0.19314867,0.20475018,0.21040107,0.20889415,0.20100604,0.18972652,0.17865121,0.1714217,0.1701619,0.17418177,0.18034975,0.18497284,0.18793888,0.19575699,0.2224441,0.28304157,0.38129225,0.4991223,0.5996385,0.64672846,0.6264883,0.5555206,0.46811095,0.39565125,0.35187665,0.3328009,0.32682264,0.32417783,0.32115105,0.31716135,0.3128101,0.30810556,0.30370578,0.3000851,0.29749155,0.29525268,0.29455552,0.30184686,0.33018792,0.39047194,0.47802186,0.56603456,0.61816335,0.61252207,0.5558552,0.47791573,0.40897807,0.3643118,0.34055758,0.32728705,0.31641343,0.3066411,0.2995248,0.29597464,0.29483858,0.2941085,0.29186013,0.28688985,0.27946913,0.2715923,0.2658007,0.26373604,0.26505184,0.2681377,0.2701918,0.2682282,0.26003253,0.2462679,0.23131268,0.22120239,0.21962042,0.22433932,0.22879143,0.22685553,0.21797222,0.20673083,0.19912912,0.19774206,0.20137964,0.20667495,0.21138918,0.21442957,0.21552111,0.21348886,0.20775385,0.19945945,0.19256656,0.19073021,0.19462721,0.20073412,0.20623612,0.21449064,0.23878944,0.2954327,0.39018336,0.50537664,0.6027085,0.64440566,0.61721486,0.54163694,0.45611787,0.39261353,0.36159155,0.35452142,0.35815552,0.36238948,0.36461326,0.36411297,0.36201873,0.35715792,0.3490211,0.33720127,0.3244981,0.31477582,0.31297508,0.32477656,0.35806748,0.4178857,0.49719182,0.57183266,0.6101838,0.5945119,0.53345394,0.45790732,0.39807427,0.36867487,0.36405447,0.37089697,0.37696543,0.3775688,0.37261298,0.36492336,0.3570811,0.35123014,0.34798792,0.34680876,0.34601486,0.3448777,0.3477331,0.36672103,0.4172325,0.5030803,0.6043343,0.67995304,0.6927676,0.63319904,0.52752113,0.41738057,0.33602357,0.29253992,0.2777059,0.2761539,0.27734017,0.27791157,0.27905002,0.28261065,0.2884142,0.29404816,0.29631945,0.2932233,0.2853136,0.2754862,0.26769415,0.26404575,0.26316997,0.26059073,0.25255147,0.23904115,0.22461702,0.21560793,0.21700902,0.22911347,0.2468388,0.26100206,0.2641742,0.25466588,0.23796302,0.22147216,0.21037842,0.20462781,0.20112453,0.19597597,0.18814349,0.18004811,0.17677705,0.18149464,0.19309421,0.20563911,0.2128721,0.21061684,0.19913144,0.18121071,0.16233681,0.14831863,0.14453511,0.15218125,0.16766064,0.18320574,0.19207662,0.19210155,0.18674286,0.1817338,0.18145834,0.18666244,0.19448687,0.19995755,0.19848472,0.18845642,0.17252024,0.15659475,0.14624149,0.14376546,0.14689131,0.1523986,0.15798257,0.16596949,0.18279736,0.22188754,0.29630628,0.40838036,0.5360215,0.6381318,0.6755406,0.63605356,0.5419169,0.43368244,0.3465104,0.29347947,0.26842523,0.25742456,0.25053623,0.24492662,0.24244243,0.2455674,0.25372303,0.2625795,0.26598287,0.2607185,0.24861544,0.23492551,0.22403805,0.21714036,0.21267529,0.20821434,0.20218825,0.19470586,0.18746346,0.18264014,0.18144472,0.18335007,0.18614012,0.18711878,0.18431078,0.17724688,0.1666645,0.15397592,0.14120275,0.13044432,0.12318758,0.11909077,0.116659224,0.114206724,0.11122912,0.10821686,0.10630023,0.10646718,0.10908269,0.11355264,0.118592046,0.122921824,0.12587327,0.12749489,0.12816387,0.12820078,0.12746607,0.12533806,0.12098074,0.114677034,0.10910568,0.10955598,0.12085696,0.14325386,0.17011802,0.1913202,0.19930601,0.19356091,0.17959549,0.16462342,0.153558,0.14750297,0.14457135,0.14180802,0.13784152,0.1340989,0.13370554,0.13836773,0.14704311,0.15756075,0.16887815,0.18090402,0.19220608,0.19955875,0.19974677,0.19235225,0.18025832,0.16848685,0.16156405,0.1608264,0.16362505,0.16519833,0.16254044,0.15547995,0.1454329,0.13361308,0.12159992,0.11156059,0.10465612,0.10020352,0.09758646,0.09863325,0.10433919,0.11151134,0.11303657,0.107090585,0.0995043,0.10023159,0.11259361,0.13265848,0.15352447,0.1715886,0.18634897,0.19754322,0.20427239,0.20550393,0.20195363,0.19541241,0.18843907,0.18291964,0.17980339,0.17903946,0.18019237,0.18303557,0.18737693,0.19282623,0.19818987,0.20146851,0.19992006,0.1910695,0.17461883,0.15408836,0.13609584,0.12588477,0.12363758,0.1246989,0.12533976,0.12576151,0.12906758,0.13612081,0.14517476,0.15420794,0.16366898,0.17510672,0.18814056,0.200118,0.20734496,0.20805709,0.20257734,0.19349624,0.18365651,0.17491297,0.16717505,0.15945815,0.15162443,0.14466934,0.14015211,0.13889949,0.14165437,0.14864154,0.15947483,0.17181337,0.1829383,0.1909134,0.19603884,0.19934231,0.2017275,0.20334113,0.20422007,0.20724057,0.22064973,0.26044306,0.33916223,0.4536694,0.5733461,0.6554883,0.6679671,0.611628,0.5163236,0.42146304,0.35506722,0.32380354,0.3190795,0.3260181,0.33355454,0.33621284,0.33381817,0.32783768,0.3197792,0.30978623,0.29790965,0.28444615,0.27136275,0.2607812,0.2544942,0.25209355,0.25195324,0.2516631,0.24947847,0.24440332,0.23710524,0.22988223,0.22616172,0.2271207,0.2302859,0.23001796,0.22309421,0.21104719,0.19949006,0.19313188,0.19344921,0.19943063,0.20863748,0.21856034,0.2259414,0.22945772,0.22898008,0.2261412,0.22107321,0.21345437,0.20278661,0.19024318,0.17806315,0.16861673,0.16409568,0.16560261,0.17310995,0.18402086,0.19416113,0.198699,0.19527908,0.18524359,0.17388934,0.16741133,0.17045672,0.18459786,0.20927942,0.24154715,0.27619693,0.3060922,0.32581007,0.33374676,0.33248624,0.32571784,0.31619516,0.30516735,0.293286,0.28409147,0.28690848,0.31895983,0.39422095,0.50939554,0.6310709,0.7096915,0.7067251,0.62235457,0.49469814,0.37414125,0.29385826,0.2570191,0.2481627,0.24955326,0.25211087,0.2545747,0.25898424,0.26616144,0.27372435,0.27683035,0.27218685,0.2607173,0.24789624,0.23949806,0.23930049,0.24719916,0.2603545,0.2734512,0.28136006,0.2812778,0.2745655,0.26511946,0.25715196,0.2527806,0.2520188,0.25305185,0.25370923,0.25242937,0.24874324,0.24364878,0.23819053,0.23379068,0.2301293,0.22685252,0.22265808,0.21846938,0.21854739,0.23416276,0.2811506,0.3691157,0.48663148,0.5962127,0.65323573,0.63499945,0.5583549,0.46661973,0.39879826,0.36809385,0.36315486,0.36678472,0.3685998,0.36739898,0.3649609,0.36288846,0.36208382,0.36294198,0.3648348,0.36621416,0.36579368,0.36567768,0.37230718,0.3970437,0.4472152,0.51839656,0.58735514,0.6245188,0.611147,0.5548822,0.48289824,0.42357838,0.38936105,0.37569657,0.37119544,0.3679825,0.36416867,0.36083373,0.35890782,0.3583757,0.35905504,0.3601416,0.36063862,0.35910973,0.355189,0.34906426,0.34175214,0.33403742,0.32664058,0.31942168,0.31182167,0.30306232,0.29327932,0.28325507,0.27449703,0.26794088,0.26354662,0.259699,0.25461027,0.24786407,0.24116887,0.23706575,0.23661333,0.23819375,0.23868524,0.2358404,0.23002194,0.22298962,0.21608032,0.20902593,0.20133221,0.19328457,0.18578218,0.17884316,0.17171185,0.16501945,0.16478114,0.18457162,0.24265699,0.3488281,0.48882508,0.6182702,0.6836223,0.65589595,0.55399305,0.4313302,0.3397759,0.30015543,0.3008163,0.31826988,0.33502635,0.34618676,0.35302588,0.358435,0.36234772,0.36390352,0.36148405,0.35618734,0.34990528,0.34659943,0.35163295,0.37443802,0.42192006,0.48989043,0.55561244,0.5899531,0.57691115,0.5273139,0.4695865,0.4281201,0.41006136,0.40684652,0.40766415,0.4062281,0.40187678,0.3958288,0.38878384,0.38186166,0.37526107,0.36976334,0.36456048,0.35892984,0.35276988,0.35011044,0.36150193,0.400066,0.47155824,0.56220853,0.63892883,0.66529983,0.624191,0.53053874,0.42125204,0.33283433,0.2817326,0.26272848,0.2604265,0.26146188,0.25983503,0.25528553,0.25120965,0.2516034,0.25865138,0.27039823,0.28218007,0.28964022,0.2917062,0.28993848,0.28651476,0.28207055,0.27593708,0.2672192,0.25622678,0.24489975,0.23643923,0.23421125,0.23922677,0.24865896,0.25583908,0.25496557,0.24443181,0.2281329,0.21088457,0.19584937,0.18323801,0.1733156,0.16677435,0.16527654,0.16896725,0.17668585,0.18564375,0.1939034,0.2001922,0.20355915,0.20198119,0.19386582,0.1802663,0.16534063,0.15448827,0.15156685,0.15784134,0.17176335,0.18938279,0.20586781,0.21708705,0.22196795,0.22222342,0.22230881,0.22681619,0.23945712,0.26072857,0.2882364,0.31664488,0.34035063,0.3550547,0.36004063,0.35690618,0.348958,0.33867848,0.32849643,0.32048783,0.32022476,0.33778718,0.38684914,0.472358,0.5802297,0.67397267,0.7145979,0.6832989,0.59675837,0.49406624,0.4123135,0.36636937,0.34876034,0.344275,0.34159234,0.33806697,0.3342706,0.33225617,0.331333,0.33019638,0.32538414,0.31643,0.3049936,0.2958281,0.29152402,0.29190695,0.29422763,0.29575726,0.29518342,0.2915946,0.28550944,0.27785507,0.27210125,0.2705122,0.27426222,0.2799609,0.28413036,0.28385577,0.28034034,0.27577436,0.27248463,0.27067342,0.2693808,0.26714733,0.26285085,0.2563106,0.2493605,0.2489926,0.2693404,0.3266716,0.4257802,0.5465577,0.64719814,0.6862802,0.64971656,0.5600298,0.4609041,0.389901,0.35959217,0.35909736,0.36875987,0.37509564,0.37450418,0.36992225,0.36468956,0.36063066,0.35765612,0.3549192,0.35150182,0.34712383,0.3447512,0.35214904,0.38114062,0.43753004,0.5117884,0.5766337,0.60393244,0.58307976,0.5295219,0.4704043,0.42622268,0.40085974,0.387717,0.37964323,0.3743756,0.37267902,0.37478957,0.37893066,0.38227364,0.38252822,0.3784463,0.3701943,0.35958108,0.34939608,0.34254798,0.3398318,0.34033287,0.3411641,0.3399421,0.33542958,0.32847604,0.3208871,0.31388852,0.3074381,0.2999632,0.28964338,0.27535948,0.2576501,0.23905633,0.2229578,0.21277605,0.21014048,0.2145372,0.22297274,0.23122202,0.23624325,0.23743103,0.23662578,0.23515607,0.23277318,0.22772254,0.21907692,0.20775156,0.19626565,0.18941887,0.1955303,0.22878878,0.3026053,0.41866422,0.55398643,0.6660833,0.7132675,0.6812339,0.591997,0.4887894,0.4091966,0.36711836,0.35453022,0.3557171,0.35881865,0.36020163,0.3602601,0.3611879,0.36279026,0.3640281,0.36245933,0.3581148,0.35291433,0.35189164,0.36167166,0.38971552,0.438742,0.5005419,0.55444354,0.57786995,0.5607591,0.5136395,0.45917627,0.41808793,0.39781675,0.39417744,0.39792836,0.40219522,0.40428808,0.40409324,0.40247253,0.39954153,0.39598575,0.39151517,0.3859199,0.37774435,0.36564,0.34778678,0.3223804,0.28927743,0.25187343,0.21797687,0.19585223,0.18977867,0.196934,0.20958823,0.21953388,0.22263932,0.21980143,0.2150743,0.2116919,0.21021034,0.20876068,0.20603687,0.20293301,0.2022341,0.20607038,0.21410231,0.2240919,0.23346584,0.24070798,0.24479996,0.24515398,0.24148767,0.23453425,0.22581506,0.21708803,0.20986837,0.20525976,0.20466219,0.20910227,0.21862078,0.23097569,0.24297659,0.25186154,0.2566264,0.25736448,0.2547395,0.25001398,0.24502707,0.24178453,0.24110991,0.2424259,0.2439177,0.24388166,0.24155118,0.2374448,0.23267262,0.22812867,0.22395146,0.22003038,0.21601401,0.21230058,0.20969932,0.21009792,0.21465051,0.22302006,0.23240285,0.23962551,0.24297875,0.2433682,0.24251312,0.24077636,0.23591568,0.22500364,0.20746072,0.18718976,0.17099905,0.16509451,0.17152822,0.18755268,0.20672733,0.22228646,0.22969902,0.22898592,0.22314036,0.21642537,0.21123137,0.20850027,0.20779772,0.20900184,0.21201473,0.21667199,0.22267862,0.22969891,0.23815604,0.24783123,0.25770676,0.26490918,0.26733926,0.2645224,0.2587355,0.25245598,0.24737443,0.24356918,0.24088745,0.23906624,0.2378252,0.23663706,0.23569854,0.23631938,0.24000631,0.24676955,0.25466657,0.2612066,0.26453757,0.2634492,0.25704998,0.24551266,0.23120593,0.21793257,0.20874421,0.2040887,0.20228021,0.20137614,0.20076984,0.20157033,0.20561069,0.21390164,0.22514851,0.23565894,0.24353893,0.2541277,0.28454247,0.35233846,0.45912957,0.57511336,0.6537018,0.66036385,0.5986893,0.5061971,0.42577648,0.38147584,0.3698283,0.37550807,0.38330746,0.38694024,0.38514647,0.37955186,0.37269756,0.36667386,0.36254123,0.35882255,0.3540283,0.34800038,0.34543252,0.35654047,0.39269897,0.45519876,0.52583987,0.57164335,0.5671253,0.5131568,0.43892315,0.3781512,0.3484951,0.34388375,0.34805942,0.34868893,0.34322047,0.33489656,0.3267609,0.31994084,0.31466123,0.311084,0.3090969,0.3077724,0.3058388,0.30270183,0.29868042,0.29505706,0.29250363,0.2906101,0.28799722,0.28368688,0.27802894,0.27202037,0.26658332,0.26143476,0.2555404,0.24746144,0.23662148,0.22348045,0.20986581,0.19799699,0.19085401,0.19060248,0.1978599,0.20938206,0.21984708,0.22458196,0.22273453,0.21678054,0.20973156,0.20306355,0.19580851,0.18591611,0.17168534,0.15433033,0.14104617,0.1467493,0.19203146,0.29001972,0.43133125,0.57581145,0.6702199,0.6790705,0.60855955,0.5016454,0.4074619,0.35472286,0.3410907,0.34913656,0.36028,0.36686483,0.36806718,0.3673354,0.36611545,0.36367273,0.35774097,0.34767976,0.33652756,0.32932758,0.33280382,0.35391033,0.39865687,0.4640356,0.53208953,0.57365125,0.56723624,0.5154583,0.445418,0.38788983,0.35832354,0.35138533,0.35320225,0.35346183,0.35001805,0.34525073,0.3414007,0.33896914,0.3372896,0.33572277,0.33418712,0.33237925,0.33031893,0.33018872,0.3405347,0.37616596,0.44818035,0.5495853,0.64680034,0.6960748,0.66914886,0.5758825,0.45521298,0.35111558,0.2865141,0.2595549,0.25462124,0.25702092,0.25926253,0.25958326,0.25914207,0.25966564,0.262669,0.267645,0.2727695,0.27568975,0.27603927,0.27475557,0.27356866,0.27276954,0.27158096,0.2683948,0.26282084,0.25587443,0.25017798,0.2482586,0.25158694,0.25895226,0.26684967,0.27088395,0.26900962,0.2626178,0.25573495,0.25192133,0.2526494,0.25680384,0.26197448,0.2657118,0.26675257,0.26517066,0.2618803,0.25777048,0.2531428,0.24776453,0.24129963,0.23412605,0.22696109,0.22046393,0.2145219,0.2093771,0.2054165,0.20316128,0.20198919,0.20161897,0.20219778,0.20459132,0.2083983,0.21284102,0.21748544,0.22368252,0.23278193,0.2451862,0.25873148,0.2701362,0.27537242,0.27225423,0.26068473,0.2439198,0.22669058,0.2137961,0.20849209,0.21492447,0.2413538,0.3006878,0.39950624,0.5258979,0.64250463,0.7051063,0.6866128,0.59798676,0.47833538,0.371876,0.30331013,0.27312776,0.2673359,0.2707275,0.27430046,0.27602014,0.27813783,0.28345606,0.2911096,0.29694042,0.2962918,0.28892496,0.2776924,0.26668882,0.25750884,0.25126433,0.24795382,0.24778956,0.24922113,0.25084934,0.2515135,0.25154755,0.2510562,0.24960382,0.24611872,0.24028929,0.23319505,0.22620232,0.22009969,0.21463919,0.21030013,0.20815583,0.2088698,0.21098262,0.21159852,0.20941256,0.2083806,0.2205072,0.26255587,0.34558916,0.46030012,0.5726339,0.6371481,0.6249466,0.54242724,0.4286549,0.32817924,0.26729634,0.24450515,0.244328,0.25100258,0.25736526,0.26116753,0.26245987,0.26088855,0.2573501,0.2529172,0.24932657,0.2471539,0.24870856,0.25980428,0.292065,0.35342214,0.43688986,0.5140014,0.55136734,0.5338097,0.47735086,0.4151801,0.37329695,0.35671893,0.354561,0.35468253,0.35209584,0.348833,0.34820423,0.35099903,0.35536918,0.3587171,0.3597224,0.35786977,0.35340056,0.34662852,0.33890343,0.3320986,0.3281337,0.32744753,0.32865703,0.32910785,0.32650772,0.31990567,0.31001875,0.29890323,0.28906676,0.28212574,0.27724576,0.27194372,0.2635518,0.25168622,0.23805635,0.22618069,0.21896549,0.21767949,0.22064056,0.22467206,0.22635727,0.22385818,0.21734886,0.20861511,0.1999812,0.19223432,0.18502565,0.17767143,0.17310555,0.17919673,0.20948243,0.27723634,0.3847429,0.5136232,0.6253492,0.6808416,0.6625908,0.58773464,0.49520922,0.4219401,0.38407043,0.3754885,0.38134143,0.3889285,0.39367008,0.3956863,0.3966076,0.3970246,0.39542735,0.39056638,0.3817835,0.37117052,0.36255297,0.36313328,0.38360015,0.43147168,0.5021029,0.5714988,0.60957646,0.5988417,0.5486279,0.48656282,0.43856302,0.4154644,0.41159403,0.4164295,0.42090654,0.4218535,0.41900685,0.41347468,0.40659127,0.398963,0.3915538,0.38395068,0.37559247,0.36615682,0.3599082,0.3693858,0.4105419,0.4910779,0.59328943,0.67664033,0.6958665,0.63252187,0.5070725,0.36802304,0.26089248,0.20548837,0.19241762,0.19947235,0.20823999,0.21190043,0.2111191,0.20855868,0.20546883,0.20188029,0.19716763,0.19019042,0.17992632,0.16638702,0.15206873,0.14091648,0.13534744,0.13316824,0.12923463,0.12123907,0.11361443,0.114619814,0.12907214,0.15380289,0.18002541,0.1987803,0.20610903,0.20349364,0.1960123,0.1884344,0.18374671,0.1826744,0.18484356,0.18822663,0.18999378,0.1871668,0.17946072,0.16946556,0.1620848,0.16120344,0.1677897,0.17892079,0.18924521,0.19363262,0.18990833,0.1806262,0.17158316,0.16811474,0.17125875,0.17740555,0.18182032,0.18213701,0.17959176,0.17721198,0.17802936,0.18399264,0.19496079,0.20853977,0.22048704,0.22746633,0.22846116,0.22511755,0.21948975,0.21285468,0.2051282,0.19611056,0.18577604,0.17476977,0.16360046,0.15313047,0.14438917,0.13876219,0.13681771,0.13778341,0.1399235,0.1416832,0.14264256,0.14318864,0.14372657,0.14378981,0.14206909,0.13755713,0.13074048,0.124252446,0.12181338,0.12612541,0.13642484,0.14786263,0.15437637,0.15299392,0.14598262,0.13842048,0.1348735,0.13797027,0.14858739,0.16483814,0.1812856,0.19134475,0.19216727,0.1869388,0.18192089,0.18156719,0.18549325,0.19008885,0.1906336,0.18508953,0.17421438,0.16270599,0.15588589,0.15795027,0.16759177,0.17898579,0.18439077,0.18006702,0.16778304,0.15338127,0.14339428,0.14243059,0.15216094,0.16973305,0.18912931,0.20329142,0.20849222,0.20577902,0.19958661,0.19423139,0.19127832,0.19034974,0.1906244,0.19208002,0.19454785,0.19739896,0.19957034,0.20000686,0.19731353,0.1903082,0.17915682,0.16691339,0.15871173,0.15980059,0.17225416,0.1933188,0.2156142,0.23095833,0.23488908,0.22942887,0.22157438,0.21904922,0.22525646,0.23592277,0.24064086,0.22980194,0.2031514,0.17132002,0.1491007,0.1452138,0.15856884,0.1809724,0.20356023,0.22005248,0.22815783,0.22874571,0.22507434,0.22027342,0.21535955,0.2084949,0.19753712,0.18232937,0.1659097,0.15258223,0.14628565,0.14897238,0.15967725,0.17450733,0.18769817,0.19495235,0.1943674,0.18726969,0.1769055,0.16908051,0.16888463,0.17770106,0.19058616,0.20108669,0.20551811,0.20530774,0.20280229,0.19873394,0.19203353,0.18302582,0.17555575,0.17483449,0.18361653,0.19835065,0.21247524,0.22058491,0.22232485,0.21927996,0.21172638,0.19799,0.17832305,0.15875463,0.14867349,0.15453947,0.17378497,0.19665016,0.21318568,0.2197467,0.22029851,0.22187763,0.22956616,0.24201334,0.25268212,0.25423047,0.24481682,0.22923218,0.21456395,0.20439439,0.19625258,0.18571095,0.17093287,0.15666342,0.15004157,0.15608758,0.17197613,0.19093607,0.20561628,0.2136717,0.21476172,0.21063794,0.20192091,0.19115347,0.18114644,0.17697053,0.18155551,0.19448553,0.20897537,0.21703172,0.21391214,0.2020033,0.18707596,0.17460696,0.16611154,0.16057901,0.15535249,0.14954026,0.14394246,0.14146833,0.14481498,0.15519714,0.17057127,0.18514894,0.19256437,0.19035505,0.1826771,0.17691301,0.17846054,0.18827231,0.2036776,0.22032212,0.23302448,0.23729979,0.23174123,0.21872084,0.20407726,0.193305,0.190427,0.19519639,0.20497827,0.21420921,0.21878217,0.21736254,0.21497066,0.21799612,0.22963168,0.2439114,0.2515309,0.24664079,0.23289128,0.21836706,0.20959751,0.20723307,0.2082078,0.20841783,0.20543031,0.19856517,0.18862462,0.17668086,0.16430826,0.15390582,0.14784016,0.14654301,0.14730364,0.14699982,0.14565839,0.14806668,0.15916525,0.17812824,0.19588935,0.20106906,0.1882108,0.16233633,0.13552798,0.12023387,0.123039186,0.14248443,0.17012578,0.19576657,0.21188311,0.21626711,0.2095179,0.19436568,0.17495131,0.15855257,0.15186793,0.15805447,0.17353757,0.19174244,0.20682938,0.21705659,0.22334601,0.22669142,0.22613104,0.21910071,0.20452176,0.18561833,0.17016973,0.16525729,0.17155463,0.18213685,0.18890591,0.18946813,0.18879287,0.19389777,0.2082486,0.22905254,0.24884878,0.25907663,0.25468603,0.23741539,0.21468335,0.19491334,0.18211024,0.17462249,0.1673199,0.15617307,0.1411709,0.12676673,0.118392736,0.11891695,0.1276456,0.14191991,0.15846933,0.17232792,0.17813718,0.17293687,0.16031031,0.1485096,0.14631462,0.1571552,0.17804748,0.20064604,0.21651323,0.22117074,0.21681671,0.20979054,0.20665948,0.2101657,0.21862966,0.22701319,0.23014759,0.22471292,0.21159013,0.19509406,0.18168612,0.1762066,0.17934829,0.18763924,0.19522958,0.19812791,0.19523056,0.19021846,0.18846333,0.19505443,0.20991193,0.22834437,0.24317579,0.25030485,0.24957515,0.24373154,0.23503299,0.22490887,0.21413523,0.20364864,0.19422431,0.1871243,0.1845808,0.18983746,0.20353907,0.22137088,0.23409009,0.23490846,0.2241738,0.20990163,0.20016806,0.19836466,0.20200948,0.20677342,0.20937103,0.20925991,0.20788795,0.20712511,0.2075826,0.20834182,0.20803185,0.20575698,0.20131104,0.19457579,0.18591696,0.17680937,0.17023814,0.16870822,0.17167276,0.17504631,0.17419286,0.16793627,0.15903296,0.1521705,0.15140994,0.15968813,0.17788588,0.20344137,0.230425,0.25199926,0.26439416,0.26760843,0.26504162,0.25977895,0.25317127,0.2422768,0.2232198,0.19455211,0.16184102,0.13530864,0.12504648,0.1345672,0.15953664,0.19019859,0.21771441,0.23816401,0.25333822,0.26714256,0.28201622,0.29719055,0.30920944,0.31367484,0.30684614,0.28793287,0.26104787,0.23510534,0.21897472,0.21459877,0.21502054,0.21042176,0.19687699,0.17826068,0.16141285,0.15086918,0.14825062,0.15368207,0.16519938,0.17867255,0.18931489,0.19507392,0.19709153,0.1975093,0.19717097,0.19441849,0.1873299,0.174998,0.15997861,0.14605941,0.13734587,0.13602589,0.14388655,0.16100895,0.1846956,0.20811261,0.2249338,0.23543437,0.25065017,0.28703952,0.35449216,0.44449487,0.52897626,0.5746911,0.56288856,0.5020968,0.42128935,0.35218397,0.3119357,0.29941416,0.3025801,0.30891052,0.3116872,0.310352,0.3080133,0.3077016,0.30998966,0.3127828,0.31359276,0.31172845,0.30866393,0.30636194,0.30562186,0.3056848,0.3051431,0.30296183,0.29908618,0.29443493,0.29087085,0.2904416,0.29405093,0.2998601,0.30381742,0.3025479,0.2963982,0.2893611,0.28562889,0.28666392,0.29102024,0.29652837,0.30155477,0.3048315,0.30519462,0.30192387,0.29592055,0.28948984,0.2856438,0.28608295,0.2903378,0.29606092,0.30084097,0.303733,0.30503413,0.3052958,0.30428115,0.3015077,0.2968574,0.2909782,0.28497875,0.27988127,0.2768381,0.27675858,0.28032672,0.28692225,0.2950628,0.30276433,0.3087281,0.31208706,0.31255436,0.31030104,0.3065556,0.30277678,0.29988548,0.29734984,0.29502106,0.29492983,0.3041955,0.33271444,0.38813078,0.46474925,0.54025435,0.5824647,0.57049006,0.5088957,0.42604038,0.35328063,0.30705473,0.28445348,0.2740987,0.26703593,0.26175022,0.26062024,0.26657423,0.27864698,0.29326978,0.30437437,0.30839732,0.30435124,0.29500225,0.28383997,0.27414763,0.26783684,0.26465794,0.26323196,0.2613332,0.2586779,0.25609937,0.25609934,0.26058137,0.27051568,0.28448403,0.29916623,0.31142318,0.3202764,0.32752585,0.3347436,0.34175196,0.34637192,0.34658566,0.34089422,0.32859042,0.31168377,0.29803148,0.30242053,0.33916202,0.41147742,0.50125563,0.57419986,0.59567666,0.5539854,0.46768227,0.3750174,0.30887792,0.2810488,0.2824484,0.2969055,0.31221083,0.3238809,0.3315035,0.33587995,0.337214,0.33616316,0.33388463,0.3319584,0.33175227,0.33511958,0.3465791,0.37336007,0.41950008,0.47679973,0.5214705,0.5273695,0.48528922,0.4137,0.34573182,0.3061342,0.29727992,0.3044491,0.3123342,0.3144202,0.31318334,0.3127224,0.31528744,0.32056332,0.32699105,0.33277628,0.33608553,0.3364809,0.334546,0.33156756,0.32842115,0.32541153,0.32294425,0.32104146,0.31978378,0.31852797,0.316646,0.3133858,0.30860057,0.30300197,0.2976507,0.29319495,0.28935632,0.285614,0.28110132,0.2743065,0.26292157,0.24658854,0.22730394,0.2096055,0.19571221,0.18630882,0.17932852,0.17365181,0.16757703,0.16089742,0.15393518,0.14865649,0.14599709,0.14520834,0.1428512,0.13572317,0.122209035,0.103984006,0.084391385,0.06717118,0.054583807,0.0469987,0.04308964,0.040908903,0.038963124,0.03684697,0.034770194,0.032910913,0.030907564,0.028457133,0.025648331,0.0230918,0.021191342,0.019971149,0.019111432,0.018474804,0.018284602,0.020077495,0.027156705,0.044449836,0.07403481,0.11207446,0.14772455,0.17088169,0.17747478,0.17208748,0.16154641,0.1506523,0.14031911,0.13040428,0.12173018,0.11595198,0.11431842,0.11627992,0.12003956,0.12325877,0.124444656,0.123198725,0.12042454,0.11748468,0.11763259,0.12764765,0.16071337,0.22877204,0.3324225,0.4481417,0.53776866,0.5666771,0.5286284,0.4466548,0.35888788,0.29421368,0.26138577,0.25249323,0.25502196,0.2605935,0.26602456,0.27086115,0.2747779,0.27741763,0.27837667,0.27782094,0.2763511,0.27522102,0.2754792,0.27731887,0.27965382,0.2811325,0.2812548,0.2806816,0.2802967,0.2806523,0.2822088,0.28593996,0.2918791,0.2978674,0.299594,0.29449967,0.28418478,0.27380216,0.26763713,0.26660815,0.2687371,0.27168438,0.27392018,0.27494726,0.27491435,0.27487335,0.27605644,0.27908263,0.2829398,0.28563616,0.285468,0.28231266,0.27755454,0.27305022,0.27013016,0.2689928,0.2689652,0.26873088,0.267167,0.26369226,0.2589413,0.25439095,0.25198308,0.25245896,0.2549317,0.25696313,0.2571367,0.25576904,0.25518087,0.25676575,0.26097775,0.26642963,0.27241376,0.27790415,0.2829953,0.2872349,0.2914503,0.2988279,0.31750038,0.35865793,0.4275318,0.5141987,0.5902427,0.62330025,0.5954543,0.5177339,0.4225576,0.34458792,0.30122682,0.2888571,0.29336157,0.30233285,0.31113183,0.31948376,0.3278705,0.33469543,0.33797824,0.33672795,0.3324443,0.3280666,0.32612535,0.3275527,0.33119178,0.3355039,0.33878085,0.34090182,0.3420943,0.34334978,0.3446733,0.34561896,0.34530535,0.34311995,0.33948454,0.33508325,0.3314208,0.32898474,0.3282789,0.32845607,0.32908058,0.32941517,0.32968846,0.33018774,0.33144692,0.3346754,0.3436869,0.36650637,0.4124931,0.4834192,0.5649545,0.6265455,0.6385708,0.5910923,0.50458884,0.41528615,0.35386157,0.32826748,0.32795063,0.33669057,0.3448064,0.3500493,0.35416785,0.35800245,0.36143216,0.36324248,0.36311293,0.36143264,0.3598378,0.36183575,0.37351605,0.40222847,0.44953147,0.5045987,0.54436713,0.5471043,0.5082939,0.44617072,0.3886249,0.35480818,0.34529164,0.34900847,0.35462227,0.3581455,0.3606784,0.36425412,0.36878577,0.3724879,0.3738418,0.37218022,0.36831984,0.36331406,0.35836625,0.35433957,0.35130373,0.34906855,0.34656325,0.34362277,0.34026328,0.33736923,0.33533704,0.33409724,0.3335074,0.33325723,0.33343077,0.33364534,0.33357,0.33294615,0.331609,0.3298895,0.32750738,0.32499835,0.32304204,0.3238729,0.32922432,0.33959332,0.35323524,0.36683932,0.37770864,0.3841922,0.38707948,0.38770905,0.3880919,0.38996294,0.39662552,0.41468298,0.45211622,0.5115125,0.57976913,0.62850094,0.6282677,0.5706982,0.4773557,0.38583782,0.32565013,0.30280253,0.30536795,0.31698534,0.32807538,0.33612397,0.34223,0.3469815,0.34958303,0.34898993,0.34541416,0.34077272,0.33797106,0.34098613,0.35644415,0.39167643,0.44854355,0.5139541,0.56136936,0.5645325,0.51750726,0.44051477,0.36629686,0.31862566,0.30070576,0.3018379,0.30911943,0.316241,0.32152274,0.3254445,0.32764408,0.3278663,0.3264575,0.32401344,0.32182646,0.32037666,0.3229003,0.33496356,0.3671486,0.4258156,0.5061677,0.58324766,0.6228099,0.5991544,0.51548535,0.4024795,0.29962823,0.23199673,0.20149326,0.19559461,0.20022298,0.20734388,0.21389449,0.21941103,0.22418095,0.22899647,0.23439617,0.2404926,0.24675268,0.25245872,0.256756,0.25910875,0.25919163,0.25687924,0.25208673,0.24515228,0.23719265,0.23032475,0.2272966,0.2304789,0.23942713,0.2497849,0.25471476,0.25038692,0.23899646,0.22757596,0.22232358,0.22501063,0.2331586,0.24266958,0.2504027,0.25501028,0.25715622,0.2582338,0.2592224,0.2593678,0.25692728,0.25046378,0.24086744,0.23097788,0.22428381,0.22249205,0.22509743,0.22976293,0.23390259,0.2356817,0.2348886,0.23266499,0.23084082,0.23069574,0.23274945,0.23629378,0.24039666,0.24382891,0.24671404,0.24936318,0.2527314,0.25644973,0.26025254,0.26331106,0.2653936,0.2660988,0.26524273,0.2634082,0.26286194,0.27063155,0.2980194,0.35633656,0.4439927,0.5394456,0.6053948,0.61121845,0.55239683,0.45630845,0.36269346,0.30105004,0.2764951,0.27757463,0.2893625,0.3035148,0.31757295,0.33112922,0.34336576,0.3526051,0.35833105,0.36111844,0.36375415,0.36805597,0.3749982,0.38276982,0.3900644,0.39585948,0.40115204,0.40650728,0.41199768,0.41627407,0.4177866,0.41558853,0.40996814,0.4033984,0.39910534,0.40042245,0.4071397,0.41703114,0.42559648,0.4308418,0.43212792,0.43167862,0.43095028,0.4310759,0.43158475,0.43338168,0.44059238,0.4614346,0.50282353,0.56138426,0.6173885,0.64063984,0.6092053,0.5263237,0.4220642,0.33314297,0.28179243,0.26617596,0.27135563,0.28229296,0.2920637,0.29933998,0.30499873,0.30923453,0.3119187,0.31257236,0.31111705,0.30813777,0.30616942,0.311329,0.3326949,0.37735808,0.44040585,0.5011403,0.5310223,0.5140962,0.45885304,0.3933684,0.34368798,0.31890416,0.31054536,0.30567542,0.29756904,0.28785047,0.28108135,0.27930066,0.2807524,0.28224957,0.28183708,0.2795757,0.27678642,0.27490744,0.2751681,0.2782663,0.28398916,0.29107067,0.29744872,0.30192086,0.30437005,0.30600426,0.30770886,0.30980647,0.31176952,0.3130367,0.31339946,0.31306222,0.3123132,0.3107773,0.30647278,0.29552618,0.27419308,0.2425962,0.20674585,0.17555594,0.15535289,0.14659303,0.1456012,0.14819573,0.15175802,0.1551482,0.1575708,0.15835363,0.15697165,0.15398379,0.15100877,0.15002495,0.15147011,0.15364183,0.15371211,0.15017043,0.14398186,0.13802828,0.13494976,0.135441,0.138032,0.14061657,0.14254425,0.14480273,0.1487388,0.15411323,0.15989466,0.16537678,0.17112143,0.17684759,0.18070059,0.17977571,0.17371307,0.16560556,0.16111064,0.16386329,0.17354374,0.18544032,0.194618,0.19886546,0.20042162,0.2030303,0.20818298,0.21302201,0.21245803,0.2038853,0.18976699,0.17630857,0.16867973,0.16801876,0.17127162,0.17433852,0.17476304,0.17343491,0.17351966,0.17930456,0.19623102,0.23333101,0.30127037,0.40413463,0.5263007,0.63212377,0.6802593,0.65133685,0.56046164,0.4503497,0.36260828,0.3169779,0.30639175,0.31239012,0.32005426,0.32473207,0.3278052,0.33102056,0.333884,0.3348863,0.3335706,0.3310771,0.32892117,0.32750562,0.3260821,0.32402405,0.32172608,0.3200653,0.31921837,0.3184531,0.31728002,0.316595,0.31817934,0.32240298,0.3264874,0.32562086,0.31675383,0.3014828,0.28518903,0.2731887,0.26746038,0.26588762,0.26449218,0.25974336,0.25104803,0.23981404,0.22903508,0.22098841,0.21806987,0.22027071,0.22531296,0.22737014,0.22234601,0.20988871,0.19562383,0.18642688,0.18785673,0.19969076,0.2163807,0.2284076,0.22891225,0.21744485,0.20092116,0.18863045,0.1879353,0.20100415,0.22416602,0.2494661,0.2685195,0.27754334,0.2782923,0.2759312,0.27414694,0.2741061,0.27456692,0.2744,0.27268758,0.27047417,0.27276528,0.29177427,0.3434093,0.4358,0.55551964,0.6668487,0.72994024,0.7271375,0.67434436,0.6093311,0.56402993,0.5491047,0.5539813,0.5644526,0.5708893,0.57207966,0.5676913,0.55782795,0.5420434,0.52270406,0.5041716,0.49069116,0.48415354,0.4824034,0.48199868,0.47870067,0.47075304,0.4572948,0.43984762,0.42000666,0.4000939,0.3818637,0.36703804,0.35659313,0.34949693,0.34277317,0.33238682,0.3169947,0.2987661,0.28304246,0.2745925,0.27459085,0.27958986,0.2829655,0.28013715,0.27068135,0.26047176,0.25904962,0.28087094,0.3388469,0.4360576,0.5513701,0.644741,0.67622477,0.6372939,0.5561432,0.48059037,0.4428384,0.44580722,0.4695092,0.49398807,0.5093389,0.516289,0.5170909,0.5130689,0.50377816,0.48990726,0.4737619,0.45811272,0.44577456,0.43881407,0.44245994,0.46403185,0.5091808,0.57089096,0.6263458,0.64647293,0.61762553,0.5538178,0.48851717,0.4488165,0.44025826,0.44969508,0.46349302,0.47603002,0.48836717,0.50046027,0.50922096,0.51066464,0.503072,0.48794007,0.46903637,0.45002723,0.43314776,0.41814622,0.40384808,0.3886445,0.3719821,0.3540503,0.3357612,0.31823647,0.30213025,0.2878766,0.27500197,0.26294205,0.25092065,0.23904996,0.2280084,0.21898408,0.2133729,0.21313934,0.22003709,0.23379052,0.25040245,0.2640359,0.27094984,0.27240494,0.27299276,0.2765673,0.2837104,0.29221436,0.2996862,0.30506316,0.30859387,0.3116947,0.31879365,0.34083447,0.39284182,0.4822429,0.59537894,0.69761354,0.7541845,0.75347644,0.71413445,0.66833323,0.63954407,0.6327059,0.6388244,0.64722544,0.65142417,0.6502397,0.64429545,0.6336175,0.6191341,0.6032261,0.59163207,0.58798814,0.5925161,0.6012676,0.61274314,0.6305409,0.65877706,0.6938029,0.7198591,0.72081536,0.6937749,0.65524507,0.62750465,0.622184,0.634509,0.65218955,0.666286,0.6743761,0.6770305,0.67531437,0.66968375,0.6614054,0.6516852,0.64204186,0.6333217,0.62543565,0.6182655,0.6132281,0.61635685,0.63489556,0.6705682,0.70953447,0.7245493,0.6895899,0.60080874,0.4829981,0.3750179,0.30491516,0.27647027,0.27487814,0.2827407,0.29013848,0.2950922,0.29863238,0.30163953,0.3040893,0.305527,0.30563977,0.30464098,0.3033694,0.3028072,0.30339614,0.30467188,0.30565473,0.30567873,0.30505022,0.30455968,0.30502394,0.30672014,0.30980942,0.31315503,0.31418943,0.3095251,0.2985334,0.28467286,0.27395424,0.27070904,0.2752563,0.28408274,0.2920234,0.29444015,0.28959802,0.2789584,0.26658347,0.25654435,0.25169143,0.25173137,0.25344667,0.2515746,0.2428965,0.22831397,0.21327575,0.203999,0.2044052,0.21318959,0.22434403,0.22980048,0.22444278,0.20924668,0.19100644,0.17893279,0.1802175,0.19667548,0.22325802,0.2509055,0.2715535,0.28272426,0.2868096,0.28809237,0.28875145,0.28930357,0.28843045,0.28580534,0.28072765,0.27634656,0.28003123,0.30809605,0.37483278,0.48210594,0.60475665,0.70316386,0.74262977,0.71845216,0.65381974,0.5849824,0.5375159,0.5181115,0.5178725,0.52496487,0.5314314,0.5349602,0.5341856,0.5280985,0.5152277,0.4975538,0.47842523,0.4623432,0.45032606,0.44163787,0.43377927,0.4253068,0.41502598,0.40228072,0.3869808,0.3698728,0.35282764,0.33770287,0.3263708,0.31919476,0.31508926,0.31075406,0.30295622,0.2900076,0.2739204,0.2590902,0.2504185,0.24923724,0.25207612,0.2519323,0.24358399,0.2269754,0.20684077,0.18894148,0.17669152,0.17057656,0.16855006,0.16771029,0.16551353,0.16108339,0.15502603,0.14837143,0.14188276,0.13601744,0.13150011,0.12915604,0.12945394,0.13210094,0.13619852,0.1409589,0.1459899,0.1510943,0.15569626,0.15870826,0.15954666,0.15844728,0.15699054,0.15651335,0.15763097,0.1589744,0.15828973,0.15379518,0.14566825,0.13596326,0.126833,0.11964563,0.114502616,0.11117817,0.1092347,0.1082325,0.107854545,0.10850188,0.11188754,0.12059031,0.13557339,0.15406589,0.16914226,0.1743185,0.16746931,0.15321393,0.1394106,0.13299526,0.13559628,0.14326812,0.14907554,0.14823437,0.14057249,0.1296954,0.11907234,0.11036133,0.103466995,0.09822145,0.09441474,0.09157815,0.089064986,0.08733133,0.08892364,0.096904375,0.11193824,0.13015549,0.1456867,0.15460962,0.15737237,0.15664189,0.1543646,0.1507049,0.14549069,0.1396032,0.13454695,0.13117899,0.12888889,0.12653981,0.12361768,0.120824136,0.11919403,0.11918882,0.12034071,0.121773295,0.122864515,0.12349943,0.12379655,0.123612605,0.1224627,0.12005957,0.116695635,0.113131605,0.10975922,0.106557064,0.10315246,0.09964729,0.09621555,0.093328625,0.09100336,0.089556,0.08936334,0.09163994,0.09702068,0.10488167,0.112292446,0.116107285,0.114746325,0.10986657,0.10468335,0.10245744,0.10392848,0.10771065,0.11052703,0.11033967,0.106743775,0.10143533,0.09570768,0.09023097,0.084747106,0.079292454,0.07406541,0.06951756,0.06599205,0.06418237,0.06513202,0.07011267,0.07903225,0.08985161,0.09881425,0.103350006,0.10335489,0.10124897,0.09925932,0.098349206,0.09792159,0.0972571,0.095788546,0.09360779,0.09086025,0.088062204,0.08539402,0.08314689,0.081132844,0.07925612,0.077162124,0.0748174,0.07235163,0.07010813,0.06828576,0.066723585,0.06516778,0.0633507,0.061370824,0.059291378,0.057293016,0.05531474,0.053457554,0.05172144,0.050292835,0.049134236,0.04824699,0.047410604,0.046584576,0.045671046,0.044764057,0.04386163,0.043048322,0.042297315,0.041585963,0.04082967,0.039975982,0.038989235,0.037831113,0.036499053,0.03504159,0.03358154,0.03221796,0.031018669,0.029995613,0.029153027,0.02843494,0.027800879,0.027224576,0.026768534,0.026425011,0.026115516,0.025654525,0.024969557,0.024112016,0.023284763,0.022629606,0.02222038,0.021978939,0.021838816,0.02169075,0.021529032,0.021327654,0.02115455,0.021003863,0.020893365,0.020763911,0.020622967,0.020461125,0.020283235,0.020024063,0.019630453,0.01910497,0.01854892,0.018111398,0.01790648,0.017953748,0.018161707,0.018389871,0.018519416,0.018482087,0.018242238,0.017783178,0.017156793,0.016496869,0.01596402,0.015645312,0.015516301,0.015515228,0.015583699,0.015701955,0.015818765,0.015894515,0.0158919,0.01583405,0.015746567,0.015660496,0.015593257,0.015578498,0.015647901,0.015796686,0.015969457,0.016083308,0.016095912,0.016015926,0.015896002,0.015767641,0.01564316,0.015511381,0.015374832,0.015237574,0.015100117,0.014961307,0.014831004,0.014755803,0.0147835165,0.014963244,0.015308446,0.01582838,0.016469086,0.017121473,0.01761268,0.017826514,0.017742388,0.01745972,0.01712411,0.01688713,0.01684806,0.017008184,0.017272696,0.017492002,0.017567927,0.017498622,0.017417548,0.017507305,0.017882982,0.01845792,0.018982464,0.019228036,0.019167067,0.018968828,0.018828614,0.01882459,0.018929714,0.019100146,0.019323027,0.019569233,0.019786676,0.019948574,0.020114735,0.020369522,0.020735709,0.02115245,0.021604193,0.022175139,0.022962883,0.023886466,0.024669258,0.02504359,0.025001226,0.024808304,0.024763213,0.024917802,0.025051745,0.024903731,0.024431445,0.02387853,0.023580024]