[0.002725137,0.0044969553,0.008428652,0.013216033,0.016926412,0.018284326,0.01764444,0.016818948,0.017829893,0.0216417,0.02797057,0.03528142,0.041751474,0.04605332,0.048420098,0.050065797,0.052350253,0.055540998,0.059097532,0.061809164,0.06272047,0.061355695,0.058526143,0.05630414,0.057093788,0.061699346,0.0677904,0.07122812,0.069183,0.0628333,0.056400236,0.053797286,0.05594894,0.060657572,0.06460136,0.065154254,0.061708387,0.055710513,0.050179895,0.047922015,0.05012771,0.055438895,0.061232198,0.065149546,0.066620916,0.06658582,0.0666892,0.068160586,0.07130747,0.07554109,0.07977712,0.08307933,0.0851829,0.08682803,0.0889191,0.09113696,0.091163404,0.08649421,0.077140614,0.0663654,0.058620248,0.056292992,0.058766082,0.06277382,0.06454361,0.061560735,0.05459043,0.04774973,0.046745732,0.05480494,0.07003632,0.08501922,0.09186551,0.08692668,0.07401308,0.061009314,0.054948714,0.05795784,0.067144506,0.07735696,0.0836916,0.08345524,0.076526634,0.06525943,0.053227738,0.043169376,0.03591315,0.030927926,0.028261006,0.028867597,0.033551168,0.04121181,0.049261868,0.05479059,0.056369316,0.05406241,0.049416695,0.04465713,0.04259586,0.045361876,0.053346235,0.064160354,0.07409036,0.08011561,0.081823684,0.08087567,0.07955399,0.07921156,0.07996094,0.08117739,0.08222533,0.082944125,0.08375288,0.08549232,0.08845255,0.09156254,0.09248563,0.089724444,0.08440704,0.07980407,0.07921713,0.08324049,0.09002277,0.095260926,0.095393606,0.08858568,0.07686229,0.06359761,0.0521079,0.043871645,0.03982702,0.040339556,0.044680003,0.050162915,0.053826854,0.05485851,0.05535728,0.05786301,0.062306803,0.06559104,0.06433003,0.05791377,0.04928786,0.04282712,0.041422963,0.04453524,0.04862101,0.04953474,0.04543008,0.03831691,0.033070523,0.033993576,0.041547153,0.051128536,0.056479067,0.05408105,0.046211462,0.038877722,0.037329376,0.04228826,0.04981147,0.0548427,0.05480213,0.051217318,0.047766034,0.047597572,0.05122224,0.05654985,0.060371954,0.060709257,0.058184016,0.055393886,0.054734606,0.057157334,0.062069464,0.06820416,0.073492706,0.07580397,0.07399773,0.06917292,0.06406454,0.060933266,0.060180318,0.06019445,0.05910318,0.055813164,0.050904166,0.046171505,0.044287473,0.047227535,0.055190455,0.06569827,0.0752967,0.08126622,0.08310343,0.081564985,0.0778392,0.0729679,0.06826981,0.06498986,0.06392088,0.06482453,0.06713625,0.07034889,0.07427699,0.07814204,0.08038945,0.07950825,0.0754376,0.07007254,0.06630239,0.06700357,0.073283546,0.08344623,0.09220034,0.093917735,0.0864298,0.073873825,0.0639153,0.062778026,0.07080843,0.0823689,0.08951504,0.08738027,0.077046566,0.06469504,0.057086423,0.05785485,0.06586859,0.07661023,0.08479047,0.086484976,0.08096417,0.070406,0.059106067,0.05051439,0.045634463,0.042717163,0.039929163,0.037385598,0.037094105,0.0406433,0.04721963,0.054077253,0.058232572,0.05836333,0.054967362,0.05000068,0.04592223,0.04516599,0.049076457,0.05718699,0.06680048,0.07444954,0.077589326,0.0760965,0.07175014,0.067108996,0.06405831,0.06325353,0.0641126,0.06555527,0.066716515,0.06749008,0.068467535,0.07030243,0.072861485,0.07479117,0.074503176,0.07149469,0.066882886,0.06259347,0.060233627,0.06062254,0.063379474,0.066895284,0.06900135,0.06849116,0.06616024,0.064131,0.0641585,0.06638863,0.06937578,0.07134906,0.071214944,0.0692427,0.06651262,0.064454705,0.06418765,0.06636544,0.070943624,0.07735213,0.08465851,0.0917085,0.09680771,0.098024905,0.09403486,0.08547621,0.07496121,0.06599707,0.061240386,0.061842065,0.06739482,0.07616349,0.0849107,0.08991372,0.08891004,0.08322061,0.07708416,0.075198084,0.07917716,0.08685368,0.09312218,0.093850486,0.08789424,0.07804844,0.067945056,0.05992797,0.053862125,0.04864897,0.04344346,0.03832929,0.03424623,0.032748986,0.035216253,0.041699324,0.050190266,0.057579577,0.0616966,0.06276096,0.06292973,0.06422206,0.067024544,0.0698963,0.070876315,0.068715714,0.06371773,0.05789113,0.054457102,0.056213137,0.06372131,0.07441055,0.0844219,0.09076617,0.09282824,0.09134364,0.0876141,0.08301891,0.07912496,0.07710859,0.07696969,0.07775837,0.07852016,0.07932705,0.080556355,0.08160027,0.08047318,0.07549118,0.06733268,0.058974672,0.053920384,0.053963248,0.05854292,0.06511936,0.07039055,0.072163664,0.07072288,0.06928659,0.07205784,0.08102768,0.09361144,0.10303565,0.103348024,0.093589164,0.079523236,0.069131434,0.067706876,0.07496529,0.08597704,0.09479233,0.0967168,0.09070581,0.07855874,0.064428724,0.051900823,0.042754594,0.03647961,0.03242806,0.031050742,0.033568624,0.039919857,0.047957707,0.054644734,0.058002103,0.057949718,0.05562931,0.052524,0.05018125,0.04990224,0.05231745,0.056472983,0.060427472,0.062250093,0.06162827,0.059785936,0.058823317,0.0602008,0.0641033,0.06922174,0.073783666,0.076503254,0.07772695,0.07893286,0.08153761,0.08498356,0.086957835,0.0852012,0.07977257,0.07337389,0.069594555,0.071057886,0.07748405,0.08600637,0.09193361,0.09218049,0.08646209,0.07791914,0.0701445,0.06533894,0.06312715,0.06229065,0.06296783,0.06645405,0.07326759,0.080637366,0.08438092,0.08181339,0.07436986,0.06627057,0.061573844,0.06157905,0.06439537,0.066815525,0.06642971,0.06281171,0.05754304,0.053290565,0.052673545,0.05626325,0.06220837,0.06718522,0.06886666,0.06687843,0.06254821,0.057872593,0.055178955,0.056295242,0.061697904,0.069398575,0.07616728,0.07918256,0.07810518,0.07464493,0.07145486,0.07026825,0.071299575,0.07333625,0.07481947,0.0747383,0.073391475,0.0722237,0.073177256,0.07711295,0.082857825,0.08741239,0.088018335,0.08392033,0.07679342,0.06917118,0.06304789,0.05924648,0.05814367,0.05966406,0.06300623,0.06583766,0.06554148,0.060709517,0.05266629,0.044086337,0.03738734,0.03324222,0.03144498,0.031792726,0.03447905,0.039163653,0.04429331,0.047690704,0.048125844,0.046351235,0.044862535,0.046453178,0.052894194,0.06338896,0.07467514,0.08243958,0.084399395,0.081324436,0.07607454,0.07099673,0.066979416,0.06331975,0.05877976,0.052586433,0.04612161,0.043228954,0.048251435,0.062158663,0.08044934,0.095368005,0.10132515,0.09829282,0.09056052,0.082321264,0.07517576,0.068825625,0.06283546,0.05744498,0.052899018,0.049882278,0.049445435,0.052848283,0.059650186,0.06727604,0.07221659,0.07282593,0.07021896,0.067020245,0.06465108,0.06277052,0.06015714,0.056563273,0.05267318,0.04932731,0.04670487,0.04455815,0.04291744,0.042056333,0.04216145,0.042789657,0.04340076,0.04387523,0.04479723,0.04673281,0.04950281,0.052187636,0.053924996,0.054819766,0.055835176,0.05786627,0.060795814,0.063512035,0.06487012,0.06441342,0.06249216,0.05965826,0.056398373,0.053020347,0.049805876,0.046923608,0.04441598,0.04217747,0.04010095,0.038134784,0.03634843,0.034813344,0.033567216,0.03250543,0.031440016,0.030109877,0.02828875,0.025891626,0.023063092,0.02016638,0.017546702,0.015364751,0.013536279,0.012049791,0.011329722,0.012571752,0.017403536,0.026836922,0.039946485,0.053738654,0.064638756,0.070612036,0.07191641,0.07020799,0.06705305,0.063407734,0.05979411,0.056564186,0.053900305,0.051919874,0.051200937,0.052450106,0.05590711,0.060158085,0.06293039,0.062170003,0.057567824,0.05036695,0.04274005,0.036953066,0.03462134,0.03623389,0.040581066,0.045313686,0.04784991,0.046969216,0.04329638,0.039000414,0.03621611,0.03595476,0.037652355,0.04001976,0.041885983,0.0427811,0.04262346,0.041440282,0.03943737,0.03770964,0.03849897,0.044063974,0.054777306,0.0678777,0.07891688,0.08431867,0.083543606,0.07854696,0.072018065,0.06569305,0.060054045,0.0548851,0.049877048,0.04495113,0.040219348,0.035880834,0.032086324,0.02889519,0.026281595,0.024184192,0.022528237,0.021220922,0.020148387,0.019203665,0.018322712,0.017478086,0.016650083,0.015827855,0.015021696,0.014270734,0.013608198,0.013058913,0.012661229,0.012507789,0.013640885,0.018885339,0.033353608,0.060396086,0.09769987,0.13485354,0.16045566,0.16929881,0.16649504,0.1616882,0.16234255,0.17075552,0.18500447,0.2010293,0.21210398,0.21154374,0.19618429,0.17100604,0.14684065,0.13496314,0.13959706,0.15664111,0.17553918,0.1861434,0.18285958,0.16741805,0.14602147,0.12590015,0.111720294,0.10450416,0.102806926,0.10453838,0.10980552,0.119488664,0.13377047,0.14842875,0.15817635,0.15907884,0.15264507,0.14280818,0.13387722,0.12748484,0.12400886,0.12363056,0.12811871,0.13927887,0.15750034,0.17946889,0.19932266,0.21048258,0.20930044,0.19742621,0.1816584,0.17074879,0.1694314,0.17595597,0.18268365,0.18247879,0.17269047,0.15788063,0.14612955,0.14603741,0.16044106,0.1849549,0.20662178,0.21221943,0.19487686,0.16083243,0.1237467,0.09755286,0.08785492,0.091997474,0.10187066,0.10979659,0.1116324,0.10843379,0.104983896,0.10788333,0.1215839,0.1457026,0.17338689,0.1953647,0.20484106,0.2017511,0.19123791,0.18008427,0.17312878,0.17199086,0.1758823,0.1825089,0.18946308,0.19411297,0.1941493,0.18760292,0.1743174,0.15616012,0.13705985,0.12117475,0.11238339,0.1127822,0.122228585,0.13655914,0.14931244,0.15457688,0.15126549,0.14296474,0.13518429,0.13092886,0.12940069,0.12773962,0.124789886,0.123131186,0.12692495,0.13777445,0.15203145,0.16383499,0.16939233,0.16971177,0.16822152,0.16826178,0.17115964,0.17629047,0.18042864,0.17878728,0.16733666,0.14674005,0.12303556,0.105454706,0.10052651,0.10857728,0.12256414,0.13288973,0.13234122,0.12093198,0.10521791,0.095382474,0.09934036,0.11844162,0.14566664,0.16932572,0.17977776,0.17520154,0.16209213,0.15088344,0.15002166,0.1615206,0.18016283,0.1964538,0.2028367,0.19782436,0.18595809,0.17244078,0.15977958,0.14707254,0.13355953,0.11971765,0.10757122,0.09842181,0.0928115,0.09048184,0.09182543,0.09703388,0.10558536,0.11529476,0.12459772,0.13304117,0.14156379,0.14956959,0.15570919,0.15869449,0.15976323,0.16093327,0.16332324,0.16513234,0.16366498,0.15775049,0.15027146,0.14572686,0.14697282,0.15167867,0.15550536,0.156063,0.15650369,0.16153564,0.17253645,0.18491153,0.19136535,0.18715437,0.17225492,0.1510893,0.12971596,0.1140688,0.10815636,0.112435214,0.12378531,0.13575026,0.14245854,0.14041828,0.1316983,0.12201191,0.1198411,0.13055943,0.15394159,0.18167669,0.20337068,0.21157967,0.20685737,0.19503194,0.18397091,0.17846514,0.17882772,0.1804109,0.17776708,0.16786122,0.15280165,0.1370186,0.12476928,0.11698931,0.11238831,0.10850393,0.10443922,0.10052531,0.09808729,0.09787846,0.10095984,0.107961334,0.11874793,0.13096824,0.14237338,0.15161394,0.15899421,0.16348873,0.16396998,0.1599508,0.15367408,0.1476836,0.14410774,0.14362465,0.14598717,0.14916663,0.1505654,0.14934026,0.14764118,0.1484636,0.15200731,0.15578152,0.15672533,0.15484715,0.15244327,0.15381612,0.16104835,0.1731298,0.1829828,0.1830665,0.16917902,0.14685203,0.12607722,0.11619518,0.117944814,0.12586088,0.13161118,0.13046683,0.12189337,0.10940921,0.098090686,0.093320794,0.09903286,0.11570721,0.13966514,0.1638481,0.18155955,0.18919744,0.18838729,0.18428518,0.18313651,0.18738712,0.1944191,0.19738843,0.19154143,0.17696325,0.15927298,0.14432262,0.13578959,0.13283753,0.13249163,0.13071035,0.12612744,0.11957472,0.114097506,0.11133942,0.11211855,0.11546115,0.12052361,0.12593605,0.1316955,0.1382007,0.14550416,0.15106486,0.15129237,0.14383258,0.1301639,0.114588924,0.10296594,0.09970787,0.10668913,0.121602274,0.14080673,0.16045111,0.17843635,0.19112945,0.19467472,0.18601811,0.16758014,0.14539213,0.12667002,0.11491359,0.10970383,0.10752376,0.10513846,0.10101365,0.0957956,0.09097806,0.088266455,0.08901752,0.093967706,0.10279285,0.11475909,0.12856685,0.14216836,0.15175642,0.15419932,0.14907593,0.13977255,0.13009332,0.1219663,0.115011014,0.108923376,0.10517595,0.10765451,0.120659314,0.1445793,0.172028,0.19020452,0.1894901,0.17097175,0.14504628,0.12324342,0.111082494,0.10749451,0.10822932,0.10975646,0.1108151,0.11199695,0.11418984,0.11754552,0.12178233,0.12632014,0.13081396,0.13619965,0.14665967,0.16829902,0.20381917,0.24788497,0.28757867,0.31061146,0.31190658,0.29834512,0.2829177,0.2770764,0.2819086,0.29008424,0.2929987,0.28622797,0.26870266,0.24032705,0.20510882,0.17341118,0.15874833,0.16887446,0.2005924,0.24184299,0.27882913,0.3026081,0.31176475,0.30963472,0.30049768,0.28693768,0.2730892,0.26491204,0.26848236,0.28328714,0.30243123,0.31689206,0.32163414,0.31582025,0.30005777,0.2753124,0.24401878,0.2105413,0.17969072,0.15593825,0.14483161,0.15216333,0.1798671,0.21985547,0.25608495,0.27179387,0.26177412,0.23393162,0.20658846,0.19421035,0.20086032,0.21608876,0.2261759,0.22209966,0.2055283,0.1828847,0.1602472,0.13975644,0.12184686,0.10731101,0.098601796,0.09858496,0.109087944,0.12963404,0.15693559,0.18475884,0.2054503,0.21268578,0.20646548,0.19314963,0.18316327,0.1814224,0.1856367,0.18738724,0.18190241,0.16919237,0.15401708,0.14045267,0.1326645,0.13144036,0.13481326,0.13696967,0.13556468,0.13205624,0.13138463,0.13597362,0.14817153,0.17026313,0.20374404,0.2433554,0.2783461,0.29799974,0.29834569,0.28229526,0.2561834,0.22620486,0.19642614,0.16860189,0.14326917,0.121998996,0.10869134,0.107851796,0.121650815,0.1469658,0.17638332,0.20089643,0.21452413,0.21634029,0.210212,0.20111968,0.19153793,0.17995423,0.1634609,0.14181396,0.119684555,0.10445767,0.10156647,0.1110453,0.12784694,0.1454466,0.15915638,0.16764271,0.1717257,0.17252874,0.1698078,0.16181956,0.14736553,0.128284,0.10995596,0.09783509,0.09307801,0.09229181,0.091097035,0.089131296,0.08871603,0.09301307,0.10340736,0.12255204,0.15342645,0.19483428,0.23809735,0.269533,0.282416,0.27823702,0.26439485,0.24253748,0.21202089,0.17405492,0.13913335,0.120241165,0.1256405,0.15035959,0.18009962,0.19830944,0.1997323,0.19322152,0.19568576,0.21566278,0.24562104,0.2700355,0.27953103,0.2791612,0.27865648,0.2845169,0.29366675,0.30049637,0.2993039,0.2894416,0.2720817,0.25068358,0.2274496,0.20617616,0.18971421,0.17910707,0.17022872,0.15795763,0.14181666,0.12834525,0.12644954,0.13908106,0.15932167,0.1739632,0.17268664,0.15664208,0.13763641,0.13109517,0.14523546,0.17747216,0.21575052,0.24682088,0.2624818,0.26245505,0.2501987,0.22991149,0.20474511,0.17926933,0.15747166,0.14245431,0.13351308,0.12912221,0.1281607,0.13424715,0.15340419,0.18999976,0.2392212,0.28803632,0.31965506,0.32242358,0.294224,0.24554078,0.1956322,0.16211344,0.15150593,0.15715085,0.17019762,0.18378721,0.19516124,0.19993484,0.19910009,0.19949917,0.21198201,0.2391739,0.27395752,0.30516884,0.32507086,0.32953084,0.3155266,0.28430355,0.24665035,0.22035998,0.21866,0.23761952,0.25883344,0.26182052,0.24075301,0.20749857,0.18477876,0.18925251,0.22105904,0.26328442,0.29555643,0.30721357,0.3017132,0.28838202,0.27239433,0.25234002,0.22559954,0.19509806,0.16870779,0.15547544,0.1591546,0.17787786,0.20319577,0.22718292,0.24462849,0.2572306,0.26646796,0.27274695,0.27397263,0.2715632,0.2693756,0.2722806,0.28266314,0.30065897,0.32375053,0.34707847,0.36454234,0.3719356,0.36893296,0.3588716,0.34623078,0.33513573,0.32785788,0.3246676,0.32258806,0.31781518,0.30740106,0.29228982,0.2750194,0.25845262,0.24343102,0.23021817,0.21939826,0.21348299,0.21661608,0.23168261,0.25662777,0.28256634,0.29880592,0.299248,0.28647387,0.2681808,0.25156906,0.23998845,0.23357983,0.23153739,0.23263474,0.23519738,0.23702115,0.23637146,0.23292232,0.2275648,0.22183408,0.21624751,0.2101539,0.20115606,0.18737318,0.16808027,0.14571643,0.12366015,0.105377756,0.091601096,0.08136354,0.0725857,0.064418025,0.05757527,0.053617164,0.053059015,0.05430588,0.0549787,0.053902566,0.052166212,0.051450472,0.05220134,0.052929714,0.05204581,0.049665023,0.048551604,0.051810443,0.060216997,0.070214115,0.076553516,0.07583215,0.06912457,0.06029385,0.053024072,0.049692348,0.05198047,0.062687136,0.08290861,0.10962931,0.13299313,0.14221694,0.13133629,0.10465153,0.0724596,0.045393635,0.028383484,0.02193244,0.025152853,0.039808046,0.066766895,0.1024383,0.13477184,0.1510431,0.14410175,0.118801646,0.086001635,0.057385027,0.03892186,0.031893115,0.03438413,0.045062173,0.0626325,0.08510691,0.10742605,0.124232866,0.13198091,0.13156252,0.12573083,0.11722169,0.10710558,0.09592567,0.084652625,0.07481059,0.06783833,0.06399589,0.06239528,0.061289877,0.059541013,0.057088017,0.05527897,0.055259332,0.057232592,0.059952725,0.06252653,0.06509461,0.068476416,0.07214407,0.07381906,0.07122976,0.06507222,0.06046172,0.06688901,0.095315576,0.1544813,0.24300747,0.34620845,0.43830845,0.49560705,0.50642276,0.4739962,0.4140179,0.35168207,0.31931746,0.33911157,0.40815082,0.49266085,0.55424285,0.5759707,0.5705157,0.5574971,0.53786796,0.4964061,0.42142782,0.32836977,0.25038478,0.22243874,0.2566826,0.3408965,0.4393201,0.5116801,0.52755535,0.48361623,0.40304986,0.32666108,0.2903681,0.30798748,0.36490643,0.4336436,0.492057,0.5311095,0.5452326,0.5254198,0.4653131,0.37395883,0.2776697,0.20815939,0.18627787,0.21168935,0.26416102,0.3135712,0.3386552,0.33531973,0.31616285,0.29726422,0.29129505,0.30371487,0.3308985,0.3615311,0.38042557,0.38121963,0.367216,0.3493433,0.33271122,0.31653073,0.2946695,0.2645721,0.2275797,0.18901332,0.15408777,0.12644956,0.10779691,0.09830681,0.09714652,0.10301742,0.115844995,0.13806897,0.17002656,0.20672803,0.23872288,0.26668534,0.30428973,0.36810613,0.45169282,0.5236576,0.548954,0.5220635,0.4715563,0.43629447,0.4347128,0.45858467,0.48641673,0.49961564,0.4871482,0.44899476,0.3976117,0.3504679,0.31980953,0.3060715,0.3141919,0.3505735,0.42017794,0.5027166,0.5708482,0.5985616,0.58297735,0.5315885,0.4646819,0.4055326,0.37512764,0.37749362,0.40072325,0.43259954,0.47223043,0.5254872,0.58964205,0.65063405,0.6914497,0.7031074,0.6873811,0.6536591,0.6132454,0.573447,0.5363931,0.50153327,0.47073993,0.44744763,0.4354925,0.4338262,0.43986604,0.44854584,0.46015406,0.4738469,0.48638055,0.48313418,0.45083985,0.3896512,0.3222198,0.27594152,0.2613528,0.26554397,0.27207828,0.27882397,0.29431674,0.3173103,0.33501747,0.341113,0.35170916,0.3912991,0.4678348,0.5644899,0.6560745,0.7272944,0.7763552,0.80674416,0.8214946,0.82173294,0.81042105,0.79088193,0.76542264,0.7294855,0.6760959,0.6005781,0.50933075,0.4140989,0.3290645,0.2643027,0.23073761,0.23433636,0.27414897,0.3358957,0.4018402,0.4562203,0.49214044,0.50650597,0.5002372,0.47747898,0.44697094,0.4186163,0.39874542,0.3888041,0.38641903,0.38889858,0.39368284,0.39793894,0.39750838,0.38653114,0.3599018,0.31598294,0.26023063,0.20315766,0.15582453,0.12368778,0.105610035,0.0964604,0.091782846,0.0899067,0.09125933,0.095489435,0.09993159,0.100424595,0.094485976,0.08321918,0.07111143,0.06319562,0.06283908,0.069930024,0.08148476,0.092227615,0.097593784,0.0966244,0.09786218,0.11987331,0.18524222,0.30119976,0.44957212,0.5918079,0.69833773,0.7642221,0.80683637,0.84224457,0.8750847,0.9004762,0.9121192,0.90492684,0.87378937,0.8180287,0.7409439,0.6517727,0.5580127,0.46711072,0.3816429,0.30589235,0.24491715,0.2109655,0.21319695,0.25260726,0.3131907,0.3754284,0.4241136,0.45726383,0.47713327,0.48789135,0.49229696,0.49395075,0.49421307,0.49236372,0.48689833,0.47882032,0.46843013,0.45291623,0.42515048,0.38071632,0.32178926,0.2585327,0.20230782,0.16022687,0.13195921,0.1129883,0.09934538,0.090063184,0.08684042,0.09105904,0.10276636,0.11847154,0.13275085,0.1411438,0.14702749,0.16101237,0.19331096,0.24213469,0.2956306,0.34261417,0.3836651,0.42670703,0.47769067,0.532818,0.578155,0.59574074,0.57479376,0.5271745,0.48480722,0.48176837,0.52675277,0.6018571,0.67842984,0.7412839,0.79017967,0.8299102,0.85523194,0.8505396,0.79944676,0.69950753,0.5682928,0.437132,0.33599117,0.27920577,0.26048112,0.26126578,0.26687273,0.27834007,0.30483165,0.34634134,0.3845247,0.396891,0.37781405,0.34179938,0.3101599,0.29163513,0.2848264,0.28349796,0.28716907,0.2954873,0.3076755,0.32024634,0.33071762,0.3379791,0.34211865,0.34480223,0.3482559,0.3544244,0.36314073,0.37312365,0.38285252,0.3908277,0.39573157,0.3972057,0.39764345,0.4005164,0.40840253,0.42041004,0.4338437,0.44569767,0.4547517,0.46147665,0.4676075,0.47474027,0.48206088,0.48469803,0.47381055,0.44154975,0.38758668,0.32347283,0.26807436,0.23755176,0.23526394,0.2513432,0.27004245,0.28076768,0.28228584,0.27994332,0.2788216,0.28067955,0.28486598,0.29067084,0.29696596,0.30131936,0.29952618,0.28886494,0.26981664,0.24738853,0.22704323,0.21229343,0.20144689,0.19003081,0.17290525,0.14896445,0.12163793,0.09791454,0.08389231,0.08228642,0.09133839,0.10609621,0.11997203,0.1279945,0.13029142,0.13359301,0.14724052,0.17651351,0.21763463,0.25922382,0.28770033,0.29403356,0.277046,0.24323581,0.20267515,0.1647799,0.13552383,0.11807507,0.1132474,0.11989411,0.13283828,0.14620037,0.15703906,0.171646,0.19872482,0.24233747,0.29275593,0.33438635,0.35380396,0.3490517,0.32682386,0.2973673,0.26818287,0.24173349,0.21908586,0.20317121,0.2001795,0.21154189,0.23051608,0.2425104,0.23799099,0.21720912,0.19204354,0.17400537,0.16952533,0.1742049,0.17924727,0.17582668,0.16361116,0.14941819,0.14192128,0.14277858,0.14572267,0.14305979,0.13290085,0.12047792,0.11283476,0.114056565,0.12472409,0.14344978,0.16809107,0.19438547,0.21670026,0.22950675,0.22947623,0.21647258,0.19341232,0.16705291,0.14468546,0.13185388,0.12783861,0.12855798,0.1288207,0.12830633,0.13081744,0.14199303,0.1624182,0.18645434,0.20539893,0.21344583,0.20935081,0.19496064,0.17533398,0.15690826,0.14626698,0.14398575,0.14845304,0.15521075,0.16304405,0.16799255,0.16919573,0.16564254,0.16160786,0.16018336,0.16623509,0.18299519,0.2121117,0.24793379,0.27914605,0.29593143,0.29802778,0.2949816,0.2955378,0.2995961,0.29669395,0.27818766,0.24653782,0.21743454,0.20789145,0.22362602,0.25527188,0.28490934,0.29778877,0.28756234,0.25871783,0.22258478,0.19465452,0.18563835,0.19790648,0.22237939,0.24850433,0.26771617,0.27927995,0.2825339,0.27831665,0.26558116,0.2464238,0.22318114,0.19948749,0.17782575,0.16021551,0.1467442,0.13611501,0.12639898,0.117214195,0.11005101,0.10686102,0.1074403,0.108722515,0.10814738,0.10783545,0.116354175,0.14241554,0.18788128,0.24211287,0.28692445,0.30434492,0.2884592,0.24912621,0.2087946,0.18710048,0.18971686,0.20516847,0.21629278,0.2109183,0.18913914,0.16360746,0.1530909,0.17288832,0.22369798,0.2932924,0.36411604,0.42299142,0.46144626,0.47380888,0.45702267,0.41367802,0.35371354,0.29230687,0.24499248,0.2195003,0.21136276,0.20661104,0.19569199,0.18376547,0.18806283,0.2215898,0.27972594,0.34325555,0.39187863,0.41734216,0.4229209,0.41711673,0.40554225,0.38997602,0.37035117,0.34869584,0.33065355,0.32391897,0.33474934,0.362951,0.4006329,0.43454453,0.45430407,0.45744407,0.44862387,0.432529,0.41044465,0.3825884,0.3528701,0.32731557,0.3092694,0.29532084,0.27875152,0.25482973,0.22436024,0.19293326,0.16756777,0.15568562,0.16116084,0.18354343,0.21440272,0.24374835,0.26221326,0.26658022,0.25603348,0.23477107,0.21017261,0.19152565,0.18451606,0.19140501,0.21521561,0.25839582,0.31686226,0.37459078,0.41383424,0.42652735,0.4199187,0.4062787,0.39373112,0.38321897,0.3730617,0.3626809,0.3520533,0.34081995,0.3281621,0.31492797,0.3034174,0.29416075,0.28356406,0.26645857,0.24390936,0.2267463,0.22926305,0.25802305,0.304661,0.3519384,0.3824067,0.38831934,0.371123,0.34089276,0.30982554,0.28908265,0.28354284,0.29187736,0.3081517,0.3264307,0.34394518,0.36273697,0.38870835,0.42753124,0.47939327,0.53615,0.5861223,0.62173885,0.6446321,0.66148466,0.67844194,0.69726795,0.71817464,0.7408252,0.762682,0.77483827,0.76205474,0.7125297,0.62684727,0.5231932,0.42521182,0.35209557,0.30940476,0.2936844,0.29549003,0.30487514,0.31460807,0.32286918,0.3311685,0.3393563,0.34435108,0.34379777,0.3395824,0.33568573,0.33492556,0.3380055,0.3456234,0.35696444,0.36813554,0.3724741,0.3659419,0.3498502,0.32996002,0.31160298,0.29719803,0.28618085,0.27715573,0.2700033,0.26571715,0.2660497,0.27136484,0.281341,0.2938552,0.30655417,0.31696343,0.32506946,0.33231398,0.34016123,0.34787998,0.3544433,0.36075294,0.3700213,0.3845272,0.40205178,0.4159787,0.4186652,0.40757355,0.38693988,0.36574653,0.350744,0.3432121,0.33907926,0.33317956,0.3219469,0.30445424,0.28164744,0.25579265,0.2299509,0.20748536,0.19072449,0.18015535,0.1741953,0.17062521,0.1681406,0.16708799,0.16935916,0.17689432,0.19176847,0.21421431,0.24142651,0.26432648,0.27065372,0.25118452,0.20798896,0.15371457,0.10427793,0.06930179,0.049603086,0.04126146,0.041541252,0.05187717,0.07401547,0.10543909,0.13592052,0.15365146,0.15141247,0.13202046,0.103915304,0.07673643,0.056240156,0.045205224,0.044401914,0.054517984,0.07480636,0.10157784,0.1277067,0.14595133,0.15271962,0.1494609,0.14006662,0.12777081,0.11398491,0.09951872,0.08582293,0.07472843,0.06721521,0.06251583,0.059089426,0.05610624,0.05472897,0.056606907,0.061977357,0.06797807,0.07100138,0.06930939,0.06496145,0.061156925,0.059587568,0.058889654,0.057189222,0.054519862,0.054274756,0.060521085,0.07507833,0.09485727,0.1138517,0.12625623,0.13208239,0.1387689,0.16013688,0.20660603,0.27991626,0.37065187,0.46672797,0.554089,0.6183713,0.6471744,0.6398367,0.6117999,0.58178693,0.55938053,0.53890043,0.5133515,0.4793707,0.43975234,0.39920864,0.36999503,0.3686045,0.4040936,0.46358395,0.52070403,0.5554795,0.56797224,0.56645125,0.5544516,0.53115934,0.50526434,0.49447832,0.50850207,0.53201264,0.5337641,0.492956,0.42168197,0.35766384,0.333781,0.35184833,0.38346758,0.4022168,0.40358904,0.40360102,0.41279468,0.42975664,0.4469304,0.46043238,0.46823263,0.46346223,0.43835577,0.38749942,0.31652895,0.23963623,0.17838323,0.15235847,0.17266975,0.23600435,0.3241775,0.41069034,0.47199544,0.49809822,0.49144366,0.45999157,0.4090635,0.34447637,0.27424476,0.21026511,0.16083585,0.12838443,0.11049303,0.10673038,0.12265835,0.16396068,0.22926076,0.30493686,0.37692717,0.43865094,0.49389616,0.54371715,0.58099705,0.5941497,0.58014804,0.55104846,0.5283332,0.5284397,0.5491934,0.5693617,0.5629652,0.5210897,0.46023193,0.40991893,0.38493124,0.37621447,0.36648956,0.359287,0.37744418,0.43742108,0.5228896,0.5960662,0.6261949,0.60979193,0.56202525,0.5015704,0.43981925,0.3822048,0.3308135,0.29218224,0.28109062,0.31484047,0.39709756,0.50680184,0.6090362,0.675869,0.7024017,0.7006567,0.68657905,0.6687003,0.64935136,0.62916344,0.61091393,0.5981629,0.5935113,0.5973527,0.6084265,0.6233497,0.6380461,0.648464,0.6512478,0.6420751,0.6186826,0.5848127,0.5493949,0.5172762,0.48529303,0.4513837,0.42189875,0.40447426,0.3940002,0.38072923,0.3695809,0.38344368,0.43535742,0.5027693,0.5405484,0.5199265,0.45974573,0.4094241,0.4107083,0.463302,0.534764,0.58856815,0.61096144,0.60898525,0.59806466,0.589441,0.58635134,0.58230704,0.5638066,0.51851124,0.4443865,0.35352254,0.26532418,0.19975883,0.16669418,0.16556667,0.18285845,0.2041878,0.21801804,0.22363017,0.22402747,0.22494482,0.22849841,0.23547857,0.24429269,0.2547203,0.26673222,0.28034326,0.29176256,0.29459023,0.28190044,0.2520752,0.21036375,0.16701518,0.13116829,0.106182806,0.09010413,0.07922899,0.072102845,0.06900141,0.07042842,0.074861445,0.07951347,0.081025906,0.07773586,0.07003661,0.0609784,0.054449875,0.05392492,0.06042123,0.071894206,0.08358157,0.09035813,0.09171414,0.09698389,0.12651707,0.20116238,0.32382175,0.4684805,0.59137434,0.6600924,0.67278534,0.654207,0.63298684,0.62550855,0.63245183,0.64455324,0.6486983,0.6341571,0.5989031,0.5529158,0.51117796,0.48335007,0.46422043,0.44056714,0.40041852,0.34419754,0.28249642,0.23273866,0.21004093,0.21993236,0.25336924,0.29198524,0.32057247,0.33505926,0.34193662,0.35195616,0.37596798,0.42068723,0.4808012,0.53920364,0.5766004,0.5903474,0.59451014,0.6059542,0.6278029,0.6497708,0.65991503,0.6503454,0.61869806,0.5654272,0.49547613,0.4170498,0.33871016,0.26844987,0.21158302,0.17179431,0.14759527,0.13467936,0.12626301,0.11765662,0.10778886,0.10136888,0.10773951,0.13494347,0.18419485,0.24720669,0.3135306,0.3765953,0.43555912,0.48698768,0.5192735,0.5176219,0.48153338,0.43643078,0.4221419,0.46336284,0.54905885,0.6436916,0.7152242,0.75453717,0.76920515,0.76806897,0.75148565,0.71393204,0.6520302,0.56996447,0.48061284,0.4007411,0.3440466,0.31300387,0.29921785,0.2924001,0.2949338,0.31940687,0.3731592,0.4399526,0.48830453,0.49450013,0.46241543,0.41628063,0.37942442,0.35747242,0.342242,0.32497898,0.30754852,0.2990103,0.30756268,0.33254132,0.36578524,0.39702561,0.42003432,0.43407238,0.44175968,0.44610062,0.449489,0.45388424,0.46106586,0.47183895,0.48537913,0.49994016,0.5140433,0.5277057,0.5416252,0.55648327,0.57192093,0.58696175,0.60023445,0.61005825,0.61402535,0.6072977,0.5835592,0.53618044,0.46487805,0.3780711,0.29410967,0.23191194,0.20236431,0.20181303,0.21781336,0.23841913,0.25951293,0.28243712,0.30859578,0.33541277,0.3582737,0.37402442,0.38393596,0.39288834,0.40526032,0.4204947,0.43271026,0.43583915,0.42888272,0.41628933,0.40325356,0.39187577,0.38098904,0.3683143,0.3515246,0.3280674,0.29645726,0.25861982,0.22144657,0.19366574,0.18068571,0.18169844,0.1914314,0.2044368,0.21689065,0.22678232,0.23285364,0.2353227,0.23561144,0.23611294,0.23768811,0.23911394,0.23664461,0.22754888,0.21146756,0.19154716,0.17108123,0.15222394,0.13513075,0.12023168,0.10866412,0.101598166,0.09836953,0.096079804,0.09183987,0.084826745,0.07740513,0.0727953,0.072807826,0.07617364,0.07955539,0.079907924,0.07684571,0.07354406,0.07517334,0.0855053,0.103971206,0.12511027,0.14192952,0.14963941,0.1479996,0.1397322,0.12822591,0.115670055,0.10325103,0.091827534,0.08224609,0.07506729,0.070152044,0.06686443,0.06442052,0.062253054,0.05992235,0.05709794,0.05351765,0.049173336,0.044248164,0.03924914,0.035142798,0.03346396,0.035569448,0.041020304,0.047022134,0.049669385,0.04718827,0.04097269,0.0348117,0.03221738,0.03579918,0.046426415,0.06260455,0.079420984,0.09069085,0.092780046,0.087526746,0.08171774,0.084753565,0.10637677,0.15245853,0.21978414,0.29386356,0.3553497,0.39066803,0.3978068,0.3838251,0.3586352,0.33045888,0.30416188,0.28128895,0.2642391,0.25772882,0.26749173,0.2914387,0.318917,0.33465847,0.33032045,0.30672875,0.27287945,0.23924245,0.21568401,0.20927425,0.22429542,0.25987604,0.30888912,0.35728964,0.39008734,0.39718485,0.38073528,0.34897533,0.31193814,0.27335525,0.23977679,0.22174178,0.23337395,0.27803886,0.34387445,0.40902153,0.4529253,0.4651691,0.44588074,0.405707,0.36034855,0.32405624,0.30228722,0.289637,0.27602324,0.25575936,0.2352807,0.23032267,0.2527653,0.298554,0.3472692,0.37926424,0.38966835,0.38965604,0.39228562,0.40006903,0.4045358,0.3936919,0.36194202,0.31216252,0.25381127,0.19895636,0.16069764,0.15403558,0.18956268,0.26441547,0.35415295,0.42167592,0.43922773,0.4046491,0.3443823,0.2912887,0.26920593,0.27624634,0.29500392,0.30257654,0.29066288,0.267256,0.2507613,0.25340298,0.27365467,0.29870212,0.31599185,0.32220683,0.32303116,0.3279792,0.34104478,0.35889634,0.37172207,0.37393984,0.36926642,0.3678826,0.37472567,0.38171664,0.37331793,0.34050807,0.2928857,0.26033375,0.2732832,0.34377638,0.44830918,0.54700255,0.60077447,0.5957768,0.5375461,0.44868422,0.355271,0.2823548,0.24363388,0.23763764,0.24853282,0.25732562,0.2538766,0.24319144,0.23944765,0.25623485,0.29776785,0.3567686,0.41776165,0.46487287,0.49072066,0.49686506,0.4882221,0.46432972,0.42111197,0.35699412,0.27965418,0.2032275,0.1418612,0.105018236,0.09804279,0.12539572,0.18712622,0.27373752,0.3601617,0.4157512,0.42019823,0.38085648,0.32869053,0.2968118,0.29664806,0.31185916,0.31798097,0.3037636,0.28191242,0.27396414,0.29177514,0.3251193,0.35007903,0.3477578,0.31821668,0.2812999,0.25735533,0.2539048,0.25940552,0.26320097,0.26518098,0.27813384,0.30740348,0.34491408,0.37181056,0.37336957,0.3447363,0.29459476,0.2452013,0.22615214,0.25764608,0.33585015,0.43387786,0.5217977,0.58122414,0.61064,0.6134028,0.5944422,0.55768937,0.51272345,0.47175574,0.44565627,0.43602514,0.43354502,0.42282656,0.39377484,0.3531367,0.32188562,0.31904367,0.34324178,0.37498203,0.3945401,0.3988111,0.3987716,0.40822002,0.43329456,0.47267509,0.51565987,0.54883295,0.556835,0.53698033,0.49306783,0.44269145,0.40249577,0.3929443,0.41934726,0.47208068,0.5267608,0.5645209,0.582486,0.5885316,0.5893085,0.58268166,0.5640177,0.5324268,0.49310783,0.45262435,0.4124275,0.3688145,0.31930014,0.27254862,0.24680342,0.25685433,0.3007064,0.359931,0.4161118,0.46130824,0.4992535,0.5335297,0.5642137,0.5873739,0.6000883,0.6000824,0.58694345,0.5617426,0.52901906,0.49376583,0.45930076,0.42427278,0.3865825,0.34717926,0.31143942,0.28508916,0.26940334,0.26175702,0.2581027,0.25655183,0.25652155,0.2585938,0.26288354,0.2692529,0.27624062,0.28194404,0.28458807,0.2836897,0.2799734,0.27481666,0.26982668,0.2657729,0.26286173,0.26060486,0.2594922,0.26015928,0.26305157,0.26637766,0.26765454,0.2647381,0.25813913,0.2500816,0.2435261,0.24025077,0.23965208,0.23902841,0.23463595,0.22486432,0.21040982,0.1940689,0.17752957,0.16163546,0.14604618,0.13171132,0.12052908,0.11615639,0.120933704,0.13400827,0.14929134,0.15891586,0.1577094,0.14632933,0.12969376,0.11295137,0.09892189,0.08743755,0.07801375,0.07200444,0.074336745,0.08898461,0.114368975,0.13975656,0.15214582,0.14412104,0.12048153,0.09432474,0.08006146,0.085631706,0.10979992,0.14360504,0.1752882,0.19575663,0.20221065,0.19820338,0.19117142,0.18752803,0.18920328,0.19277352,0.19366854,0.19045158,0.1861099,0.18481058,0.18825601,0.1950994,0.20270859,0.20906134,0.21304457,0.21432321,0.21368621,0.21281703,0.21308057,0.21374123,0.21222873,0.20641726,0.19676363,0.1860398,0.17691262,0.17013659,0.16463809,0.15904753,0.15285803,0.1464869,0.14089096,0.13706,0.1357525,0.13656314,0.13751157,0.13585989,0.13030565,0.122595616,0.115555175,0.11056427,0.10550079,0.09871852,0.09149342,0.089630164,0.09755936,0.11478021,0.13394375,0.14675593,0.14932078,0.14533241,0.14157672,0.1419851,0.1438983,0.142287,0.13545851,0.12873705,0.12945874,0.14126422,0.16001844,0.17844422,0.19076465,0.1963085,0.19684784,0.19530244,0.19474399,0.19852026,0.20805556,0.22068048,0.23117028,0.23467207,0.23075335,0.22269212,0.21638769,0.21598358,0.22250347,0.23327683,0.24514472,0.25563756,0.2634546,0.26751968,0.26757762,0.26399934,0.2570733,0.24751134,0.23886876,0.23841284,0.25196338,0.27645648,0.2984459,0.30308512,0.28614774,0.2581332,0.23558478,0.2285221,0.2338633,0.24133484,0.2426164,0.23813266,0.23363708,0.23561625,0.24589276,0.26286638,0.28237438,0.30092618,0.31626627,0.32856596,0.3392034,0.34936666,0.35860935,0.36509705,0.36713,0.36384347,0.35603586,0.34552982,0.33590564,0.33038887,0.3311766,0.3375914,0.34802222,0.36062422,0.37423322,0.38734618,0.39808777,0.40513238,0.40861487,0.41052654,0.41357648,0.4200933,0.43067288,0.44405863,0.45778945,0.469468,0.4772079,0.47962245,0.47554234,0.46528137,0.45091632,0.436438,0.42524758,0.41922387,0.41783908,0.41957763,0.4228107,0.42702225,0.43237054,0.43881917,0.44398686,0.44325042,0.4304649,0.4020748,0.35922197,0.3090076,0.26122287,0.22463621,0.20345803,0.1955111,0.194067,0.19330184,0.19677156,0.21893485,0.2761247,0.36981234,0.47837767,0.5653355,0.60161763,0.5830454,0.5328064,0.48509583,0.46699822,0.4854661,0.530649,0.5830465,0.6265164,0.65303415,0.6663951,0.6761543,0.6914871,0.7140841,0.73808104,0.75415874,0.7560041,0.743143,0.7214764,0.6997594,0.6858805,0.68385774,0.6921098,0.7070463,0.7223812,0.7326849,0.73202586,0.7182414,0.69189334,0.6534772,0.6016466,0.53738695,0.47336444,0.43235898,0.43393323,0.4772811,0.5415105,0.60076904,0.64201224,0.6662428,0.68047565,0.6885829,0.6915596,0.69039637,0.68720055,0.6837556,0.67889905,0.6697469,0.6532593,0.62925845,0.59900284,0.5619437,0.51410043,0.45105705,0.37521902,0.2975982,0.23460644,0.19821703,0.19003503,0.20054209,0.21587026,0.22610003,0.22900993,0.2290401,0.23169978,0.24040325,0.25396344,0.26799178,0.2775569,0.28037605,0.27839682,0.27449343,0.27007794,0.26239923,0.24833144,0.22638178,0.19955564,0.17277305,0.15176944,0.14029324,0.13980313,0.14712422,0.15582745,0.15914293,0.15827036,0.16628145,0.20433569,0.28419212,0.39426875,0.50066024,0.5708907,0.593342,0.5808656,0.5538323,0.5288227,0.5151089,0.51830673,0.53991723,0.57454413,0.61052966,0.63327056,0.63487244,0.61880416,0.59967417,0.5924063,0.6029063,0.62596303,0.6509373,0.6706061,0.6830087,0.69103986,0.69541377,0.6943129,0.681448,0.6534142,0.60879725,0.55216235,0.48700666,0.41889986,0.35071066,0.28802535,0.23605788,0.20403112,0.19916594,0.22372787,0.2683774,0.31837654,0.35981485,0.38752583,0.40251556,0.41070417,0.41763952,0.42745164,0.43832338,0.44637203,0.44705555,0.44155893,0.43246043,0.423192,0.41219673,0.3957518,0.36834165,0.3280425,0.27775225,0.22618754,0.1830103,0.15474093,0.14109081,0.1373644,0.13685721,0.13636203,0.13824113,0.15171207,0.18383454,0.23193212,0.280945,0.31773672,0.3413101,0.3634144,0.39502594,0.43770722,0.48324886,0.5152247,0.5176349,0.48443472,0.4354469,0.40629253,0.4257054,0.4895263,0.5681438,0.6313184,0.66914696,0.6880789,0.69513416,0.68876797,0.6641019,0.6215735,0.5692379,0.51568604,0.46457958,0.41681135,0.37391898,0.33938035,0.314726,0.3057144,0.32337534,0.3768971,0.45481572,0.52258414,0.5437831,0.50671107,0.4332702,0.3594614,0.31364492,0.3016702,0.31441078,0.3366615,0.35852972,0.3748794,0.38573623,0.39328519,0.40205503,0.41672137,0.44060227,0.4737296,0.51249,0.5505841,0.5818267,0.60361737,0.61800027,0.63049984,0.6456676,0.66543174,0.6875374,0.7085964,0.7252585,0.737184,0.74612015,0.7552919,0.76600695,0.7758718,0.77752966,0.7614661,0.72043276,0.6524529,0.56203,0.45846426,0.35778812,0.27850947,0.23653753,0.23347051,0.25724754,0.28830025,0.31441382,0.333178,0.3490007,0.36266366,0.3713487,0.37131467,0.3639969,0.3541803,0.34720644,0.34566593,0.34969124,0.35718277,0.3641037,0.36579975,0.3594968,0.346343,0.3298298,0.31274864,0.29513472,0.27566206,0.25371727,0.23021708,0.20698786,0.18588512,0.16854139,0.15527774,0.14502896,0.13553177,0.12542191,0.11550895,0.10973075,0.11425855,0.13415004,0.16891825,0.20977338,0.24367587,0.2608601,0.26116982,0.2520931,0.24230357,0.23501848,0.22804816,0.21706986,0.20109248,0.18350391,0.17100632,0.16904794,0.17915426,0.19897409,0.22458498,0.25293136,0.28092137,0.30533382,0.32293805,0.33241692,0.3342282,0.32891336,0.317228,0.29996446,0.27953443,0.25673172,0.23152564,0.20301978,0.17418598,0.15137096,0.14229077,0.1506872,0.1728146,0.19825889,0.21429045,0.21450122,0.20219578,0.18872075,0.18305667,0.18507405,0.18542182,0.17494595,0.1537746,0.13260694,0.12547638,0.13861613,0.16624092,0.1933558,0.20667487,0.20189928,0.18585002,0.16830938,0.15483974,0.14406437,0.13324767,0.12345901,0.11901089,0.12279924,0.13192564,0.14044523,0.144679,0.14818189,0.15908356,0.18222986,0.21335101,0.24116202,0.2565659,0.25712034,0.24517508,0.22353983,0.19716512,0.17556281,0.1692008,0.18142909,0.20516527,0.22918898,0.24558823,0.25251684,0.25088918,0.24265832,0.22954898,0.21494693,0.20348014,0.20216548,0.21517448,0.24041064,0.26755843,0.28647757,0.29353464,0.29335257,0.29137895,0.2895951,0.28530133,0.27578098,0.2605894,0.24438488,0.23441692,0.23689175,0.2508985,0.2691448,0.2824372,0.28640568,0.2816565,0.27109227,0.25611934,0.23685569,0.21352081,0.18764748,0.16231932,0.14095743,0.12776199,0.12608837,0.13827021,0.16181053,0.19045359,0.21502562,0.22961515,0.23189895,0.22393458,0.20806788,0.18717064,0.16346122,0.14007638,0.1209018,0.11029324,0.1103726,0.11836749,0.12699854,0.12948282,0.12515353,0.12110615,0.12805603,0.1542886,0.20018177,0.25623965,0.30495575,0.32956314,0.32370946,0.2965112,0.26505986,0.24237233,0.23013876,0.22204144,0.21304308,0.202937,0.19614191,0.19553946,0.20200509,0.21272655,0.2245214,0.23389773,0.23909347,0.23919727,0.23424304,0.22496557,0.21357274,0.20354205,0.1987788,0.20171376,0.21318346,0.23122346,0.2516768,0.26726696,0.27119982,0.26077244,0.24191408,0.22721033,0.22932988,0.25244716,0.28842342,0.3214856,0.33759466,0.3334866,0.31563735,0.29386413,0.2716727,0.2480324,0.22040667,0.19325803,0.17370017,0.1714893,0.19007874,0.22839542,0.27617708,0.32068202,0.3492004,0.35646367,0.34520292,0.3243798,0.30540434,0.29402015,0.28823283,0.27686754,0.2519487,0.21506299,0.18099491,0.16714424,0.182621,0.22302824,0.27442193,0.32650158,0.37744913,0.43212557,0.48781657,0.5338627,0.5559373,0.55220455,0.52848154,0.4966654,0.46055248,0.4257721,0.39374232,0.36982635,0.35233232,0.3453115,0.35303402,0.38277867,0.42866293,0.47825852,0.5171626,0.54051304,0.54502624,0.52556497,0.4759054,0.401075,0.322678,0.27088544,0.2651676,0.30129597,0.35432026,0.39898846,0.4210477,0.42023984,0.39856836,0.36405787,0.33192572,0.32332376,0.34593418,0.38227186,0.39949873,0.37695715,0.32811454,0.29167795,0.30304778,0.36509028,0.448114,0.51151603,0.5334089,0.51914644,0.49118742,0.46804282,0.45741293,0.4611791,0.48369372,0.52765536,0.5847027,0.6361231,0.66485214,0.66872954,0.65772563,0.64461094,0.63542265,0.631437,0.6316789,0.6359883,0.6433117,0.6523516,0.66123086,0.66835135,0.66997546,0.6586852,0.6238682,0.56162494,0.48607075,0.42956927,0.42334566,0.4722205,0.5518794,0.62642664,0.6751755,0.69547814,0.69686764,0.68687445,0.67142564,0.65321326,0.6331443,0.60602,0.5625465,0.49507257,0.40596616,0.30908474,0.22395201,0.16737501,0.14665438,0.15838201,0.18942355,0.22481243,0.2529252,0.2703884,0.2786759,0.28290156,0.2890388,0.30367136,0.32973894,0.3645781,0.3986685,0.42268404,0.43199298,0.4323239,0.43319944,0.44210854,0.45609248,0.4634662,0.4508481,0.41177747,0.35224876,0.2853356,0.22501057,0.17830737,0.14655516,0.12716384,0.11689564,0.1122955,0.11007413,0.107575916,0.10530287,0.109870695,0.1358019,0.1965015,0.292594,0.40369788,0.50048417,0.56204295,0.58762735,0.5906368,0.58765674,0.5899883,0.60272574,0.623553,0.6461012,0.66064763,0.6619179,0.64994484,0.6328756,0.6197643,0.61612624,0.61999255,0.6243753,0.62168044,0.6049711,0.57071185,0.5170415,0.4474242,0.36713493,0.2874705,0.22144766,0.18476927,0.18377061,0.21364196,0.25700316,0.2979873,0.32757857,0.34670845,0.35832512,0.36478457,0.36751056,0.3697172,0.37781775,0.39645138,0.42668363,0.46123064,0.49138904,0.50780433,0.50731283,0.48833892,0.45294657,0.40282926,0.34366706,0.28293556,0.23122184,0.19453716,0.17283528,0.15836553,0.14435206,0.12907323,0.11777541,0.11737957,0.13352533,0.16766892,0.21493609,0.26252642,0.29553506,0.3084103,0.31133577,0.3234801,0.35809016,0.41403326,0.47517404,0.51775736,0.5220012,0.4895364,0.4494444,0.44158408,0.4860115,0.5682261,0.6548869,0.7203062,0.75841206,0.7738285,0.76842934,0.74023914,0.6888628,0.6211907,0.5458318,0.4703842,0.4013319,0.34552407,0.30759558,0.28659606,0.28496453,0.311083,0.37406805,0.46250883,0.54338175,0.577298,0.54853195,0.47369787,0.39136517,0.33406356,0.31226757,0.31537834,0.32899895,0.34704852,0.370917,0.40123054,0.43313244,0.460655,0.48162138,0.4990104,0.5168089,0.5365507,0.55748713,0.5780199,0.59703344,0.6129245,0.6242413,0.6304534,0.6324126,0.63195115,0.6306338,0.6303454,0.632526,0.6384918,0.64795923,0.6595352,0.67080253,0.68008703,0.6858689,0.68514496,0.6697448,0.6286182,0.554573,0.45377406,0.3455806,0.25406018,0.19628185,0.17670076,0.18896969,0.22014071,0.25718486,0.29119074,0.32032946,0.3466531,0.37215766,0.3962737,0.41742826,0.4351877,0.44985965,0.4610033,0.4659644,0.46185747,0.4470878,0.42297995,0.39243534,0.3596737,0.3287129,0.30285916,0.28256765,0.26600108,0.25023448,0.23534401,0.22428693,0.22081645,0.22275633,0.22258312,0.21165101,0.18951136,0.1627515,0.14252265,0.13869797,0.16396964,0.22697617,0.32721317,0.4432465,0.5470838,0.6167696,0.6524648,0.66563004,0.6693764,0.66922575,0.6664848,0.6622229,0.65728205,0.65211827,0.6450191,0.6350157,0.62167805,0.60659117,0.5909223,0.5740699,0.55322963,0.52549845,0.49349558,0.46166292,0.4338402,0.4041179,0.3656431,0.31432018,0.2587045,0.21282697,0.1920657,0.2020241,0.23712826,0.28211963,0.32249224,0.35010532,0.36392233,0.36574635,0.35755944,0.34193566,0.32086435,0.2968953,0.27152273,0.24722524,0.22547138,0.20829241,0.19638647,0.19065528,0.19002016,0.1929061,0.1955372,0.19502228,0.1893944,0.18034363,0.17065369,0.1659667,0.17548777,0.2122417,0.28237578,0.3753744,0.46480814,0.52557105,0.5490174,0.5448525,0.53037834,0.5197,0.51866764,0.52661747,0.5407656,0.55990344,0.5801115,0.59315544,0.59014386,0.57356197,0.5571048,0.55441886,0.56495684,0.5749762,0.5695179,0.54492545,0.5104613,0.48238063,0.47258854,0.48129097,0.4951135,0.49515238,0.46846542,0.41422787,0.34342316,0.27158144,0.21600097,0.18913108,0.19597428,0.22887826,0.2738027,0.31606746,0.34792793,0.3679327,0.37984684,0.39007235,0.40210402,0.41583952,0.42657223,0.43427575,0.43904087,0.44003227,0.427483,0.39358667,0.33765364,0.27130154,0.20838457,0.15920763,0.12606207,0.106418975,0.09581855,0.09120586,0.09207658,0.09892375,0.111528635,0.12696494,0.14111912,0.1503615,0.15540898,0.16334754,0.18495107,0.22648676,0.28126666,0.3326786,0.36694622,0.38376555,0.3957777,0.4168898,0.454406,0.501543,0.54058814,0.55284643,0.5385999,0.5212094,0.5292113,0.56876737,0.6206569,0.6613204,0.68571186,0.70512086,0.72869045,0.7495463,0.7501378,0.71922326,0.66228753,0.5951996,0.53077227,0.4717287,0.41868007,0.3730274,0.33700573,0.30744746,0.28712913,0.2881081,0.32579342,0.39421836,0.46194056,0.49061623,0.4678401,0.41391847,0.36526516,0.34309742,0.34687066,0.36033475,0.37337875,0.38463426,0.4012843,0.4270499,0.46077657,0.49558267,0.5247178,0.5445089,0.5550546,0.55891657,0.5587709,0.5585005,0.5614626,0.5710574,0.5880289,0.6116271,0.63838005,0.6635247,0.68173975,0.690409,0.69066614,0.68676424,0.6817178,0.67373234,0.653568,0.60872054,0.53084904,0.42618522,0.31626648,0.2306255,0.18956542,0.19476579,0.22871132,0.2698606,0.30379796,0.32946417,0.35029456,0.36926857,0.38495573,0.39662692,0.404821,0.4117578,0.41825995,0.42267945,0.42123473,0.41004357,0.38873556,0.36126325,0.33442426,0.313024,0.29829594,0.28854164,0.28246486,0.27973703,0.2805122,0.28351104,0.2865605,0.28724182,0.2853082,0.28182057,0.27901983,0.27714258,0.27535212,0.27099466,0.2623132,0.24824136,0.23072886,0.21432067,0.20534296,0.20697348,0.21618325,0.22511917,0.22782345,0.2252693,0.22295903,0.22444947,0.22664535,0.2226725,0.20749885,0.18313003,0.15814586,0.14275114,0.14153014,0.1502793,0.15972693,0.1630088,0.16000454,0.15475684,0.15001671,0.14441152,0.13517515,0.12250125,0.11095693,0.10619023,0.11018565,0.11937374,0.12714832,0.12828352,0.12209064,0.11225665,0.10442454,0.10324064,0.109939165,0.121893704,0.13352345,0.1395051,0.1370941,0.12735091,0.11371287,0.10016313,0.089237206,0.08116848,0.07447963,0.06775008,0.061079916,0.055586915,0.052095074,0.050264973,0.049468577,0.049397275,0.05013762,0.051258996,0.051909044,0.051331613,0.04985268,0.048885826,0.050640684,0.05666314,0.06653866,0.07692695,0.08351899,0.08369359,0.07882869,0.07298406,0.070914425,0.0754989,0.086920835,0.10189923,0.11518061,0.122221224,0.12205187,0.11724322,0.11101381,0.10443578,0.096063845,0.08487489,0.0726853,0.06436203,0.06423438,0.07323086,0.087729804,0.102486014,0.11314211,0.118428595,0.11897278,0.116052456,0.1097739,0.100203894,0.08874393,0.07950136,0.07637101,0.07964068,0.08411285,0.08331356,0.07462319,0.061881464,0.05206592,0.051008403,0.059974294,0.07610632,0.09330305,0.10605675,0.11150033,0.11149918,0.10975801,0.10950915,0.1109759,0.112548985,0.11234456,0.110057205,0.10725907,0.10632377,0.10908117,0.11561062,0.12462173,0.13376868,0.14074187,0.14358445,0.14180939,0.13640355,0.1298398,0.12466959,0.122647405,0.12384977,0.12724543,0.13134389,0.13520156,0.13818373,0.14037673,0.14220494,0.14516419,0.15012336,0.15705691,0.16375087,0.16831905,0.16992246,0.17014916,0.17007829,0.16886884,0.1632642,0.15147017,0.13597618,0.123141736,0.118479796,0.12263489,0.13133463,0.13955736,0.14541529,0.1510992,0.15932964,0.16945606,0.17559294,0.17100911,0.15398772,0.13199666,0.116469,0.114360996,0.12126336,0.12589635,0.11920241,0.1021649,0.08339814,0.07304337,0.07608058,0.09211299,0.11538893,0.13854913,0.15404774,0.15935522,0.15700424,0.15444864,0.1577477,0.1689144,0.18361008,0.19482659,0.19569343,0.18410623,0.16363901,0.14321375,0.13159339,0.13267474,0.14262201,0.1539497,0.160658,0.16191174,0.16010237,0.1580516,0.15696146,0.1572669,0.15901975,0.16214079,0.16564806,0.16832082,0.1694228,0.16946377,0.1692121,0.16837455,0.16543323,0.15901399,0.15025862,0.14299138,0.14230454,0.15034951,0.16387361,0.17492954,0.17659338,0.1683477,0.15667234,0.14986505,0.1521979,0.16168523,0.17279863,0.1805116,0.18331398,0.18229522,0.178412,0.1704881,0.15715854,0.14046553,0.12688972,0.122392595,0.12677133,0.13177733,0.12827972,0.11297438,0.0919986,0.07471187,0.068514064,0.07423583,0.08888424,0.107233815,0.12538767,0.14071594,0.15268768,0.16200514,0.1699341,0.17754419,0.18456656,0.19020128,0.19307433,0.19274455,0.18921192,0.18391716,0.17874403,0.1755396,0.174215,0.17334627,0.17149971,0.16913263,0.16769129,0.16826177,0.17028348,0.17270327,0.17463075,0.17613381,0.17763804,0.17975295,0.18260258,0.18573456,0.18864395,0.19097368,0.19266689,0.19272196,0.19028038,0.18538515,0.1808216,0.18033467,0.18589395,0.19489439,0.20098476,0.19890536,0.1886459,0.17641371,0.16903134,0.16981137,0.17617297,0.18409906,0.19021244,0.19397323,0.19494659,0.1919929,0.18264014,0.16583125,0.14456655,0.12657456,0.120138526,0.12810099,0.14374153,0.15472429,0.15074213,0.13134313,0.10505384,0.08348042,0.07372982,0.07572013,0.08416739,0.0925099,0.096909195,0.09745417,0.09780669,0.102203935,0.1124649,0.12566878,0.13530856,0.1362669,0.1298091,0.12431541,0.12802549,0.14233373,0.1596212,0.17116618,0.17341243,0.17059468,0.16813184,0.16784944,0.16573264,0.15815906,0.14645733,0.13908052,0.1434843,0.15994596,0.1779923,0.18497019,0.17345291,0.14732547,0.11771714,0.09741855,0.09321842,0.10333115,0.11885488,0.13026275,0.13336875,0.13084503,0.12905288,0.13211688,0.13908543,0.14392841,0.14177169,0.13378637,0.12896343,0.13598348,0.15570664,0.1784293,0.19257568,0.1925961,0.18231721,0.16897534,0.15773134,0.14840646,0.1388179,0.12883285,0.124077864,0.13224955,0.15630893,0.18796915,0.21100475,0.21139325,0.18736787,0.15065014,0.11879638,0.10455363,0.10988472,0.12671931,0.14450407,0.15600477,0.16015105,0.15829153,0.15212315,0.14271718,0.13264848,0.1251194,0.12183928,0.12066305,0.11759684,0.110890485,0.10369775,0.10160854,0.10723218,0.11733832,0.12517284,0.12617081,0.121174134,0.11471478,0.11035482,0.10747347,0.102925144,0.09462055,0.0844584,0.07651477,0.0738988,0.07626366,0.081338525,0.087231256,0.093517214,0.100088924,0.10660488,0.11334312,0.121090055,0.12958717,0.1358486,0.13672727,0.1323006,0.127081,0.12566352,0.12841184,0.13088466,0.12878494,0.12211638,0.115706414,0.11399236,0.117470086,0.12166283,0.12240333,0.11919703,0.11696911,0.11997866,0.12812859,0.13470732,0.13449854,0.12776275,0.122589834,0.1256604,0.13824488,0.15398042,0.16757488,0.17844681,0.19224484,0.21202768,0.23476882,0.251259,0.2552398,0.24750286,0.23479472,0.22340979,0.21533825,0.2101624,0.20723355,0.20807491,0.21429951,0.2269761,0.24433398,0.261948,0.27363956,0.27542055,0.2686373,0.25963387,0.25447294,0.2540631,0.25401235,0.25033277,0.24344222,0.2372704,0.23360531,0.23004162,0.22268522,0.21123163,0.19974558,0.19379507,0.19663078,0.2083779,0.22644366,0.24783617,0.2704021,0.29397872,0.31845817,0.34211686,0.36204967,0.37655792,0.3873384,0.3976303,0.4103895,0.4261093,0.44348475,0.45961487,0.4709305,0.47417828,0.46801078,0.45479777,0.43968773,0.4273903,0.4182489,0.4086834,0.39560136,0.37994143,0.3662866,0.3586763,0.358186,0.36260116,0.3687195,0.3745087,0.37979427,0.3851467,0.3894907,0.39128378,0.3900207,0.38829896,0.38798007,0.38876233,0.38770953,0.3836955,0.37816563,0.37424806,0.3736072,0.37538132,0.37686393,0.37500632,0.36814225,0.3559841,0.3404955,0.32474825,0.31240538,0.30435434,0.298521,0.2908169,0.27878037,0.26259968,0.24494897,0.2296771,0.2202229,0.21761894,0.21844703,0.21666758,0.20705964,0.18976586,0.16973113,0.15436602,0.14843084,0.15190051,0.15896668,0.16203253,0.15588279,0.14189743,0.12602891,0.11468729,0.10986737,0.10942382,0.11016575,0.11114409,0.11434844,0.12168211,0.13288634,0.14412473,0.1513983,0.15259553,0.14935027,0.1444037,0.13985364,0.13566786,0.13128608,0.12711743,0.12590869,0.13115376,0.14429255,0.16212052,0.17797883,0.18564953,0.18291788,0.17259105,0.1628901,0.16711581,0.20144181,0.27403495,0.3766203,0.48267698,0.5649609,0.610828,0.6292949,0.63829166,0.6512638,0.6701324,0.6890138,0.7011678,0.7033003,0.6968759,0.6862212,0.67640215,0.67063695,0.66900593,0.66771084,0.6612911,0.64561623,0.61975425,0.58479714,0.54065984,0.48765698,0.4261043,0.3596797,0.29347038,0.2386414,0.21031272,0.2194979,0.2626777,0.3176295,0.36119595,0.3793416,0.37757453,0.36573854,0.35430893,0.3442999,0.33326307,0.31522653,0.28865185,0.25708616,0.22928981,0.21078192,0.20065467,0.19143452,0.17768197,0.15932752,0.14220618,0.13114883,0.12703079,0.12583975,0.12356491,0.11859051,0.112598546,0.107630044,0.10489065,0.10667498,0.11844432,0.15027647,0.20751305,0.28646657,0.36869645,0.43547198,0.47587356,0.49735594,0.5157109,0.5442693,0.5827506,0.6204497,0.6463874,0.6571453,0.6553918,0.6459425,0.6338729,0.626524,0.6296459,0.6427732,0.65650964,0.66002303,0.6494791,0.6319916,0.61722594,0.60725456,0.59232074,0.5587976,0.5004112,0.42288765,0.34265494,0.28047344,0.25581214,0.27655718,0.33298433,0.40114674,0.4571991,0.49048612,0.50477004,0.5101313,0.5153988,0.5234602,0.5348101,0.5456353,0.5542419,0.5531533,0.5359632,0.49207547,0.4231323,0.33835515,0.25789472,0.19462323,0.1538682,0.12971921,0.11552903,0.1055409,0.09867827,0.096081555,0.09989482,0.11087948,0.12855886,0.15470709,0.19368447,0.24709737,0.30541387,0.35073483,0.37255707,0.3786809,0.3881822,0.41251913,0.44669083,0.47779277,0.49254736,0.48580945,0.4595367,0.431577,0.42368135,0.4519029,0.50882965,0.5760817,0.6322508,0.66738015,0.6740578,0.651323,0.6010707,0.5337755,0.46055257,0.3918352,0.3363464,0.30105588,0.28720984,0.2883598,0.30158845,0.3351629,0.40021658,0.48680532,0.55831623,0.57459176,0.52747875,0.44647136,0.37653878,0.34351364,0.34646916,0.36685613,0.3879681,0.40067077,0.40396464,0.40151212,0.40013704,0.4061625,0.42228544,0.44659674,0.475461,0.50515825,0.5327236,0.5551416,0.5706342,0.57927245,0.58321446,0.58522385,0.5876233,0.59150547,0.5974066,0.6057256,0.6173052,0.63196474,0.6479997,0.6623986,0.6737177,0.68263245,0.6903679,0.6933672,0.68247813,0.64518136,0.575687,0.47958922,0.3757887,0.28553587,0.22466427,0.19667901,0.1975406,0.219052,0.2528302,0.28976855,0.32202804,0.34493685,0.35855082,0.36608446,0.37192202,0.37914547,0.3883932,0.3970175,0.4011216,0.39850178,0.39060697,0.38149357,0.3747169,0.3718665,0.37233368,0.37517628,0.37965593,0.385554,0.39209187,0.39771202,0.4006759,0.40008917,0.3966334,0.39176932,0.3865548,0.379699,0.36767307,0.34670332,0.31701437,0.28378883,0.25528866,0.23767857,0.23307614,0.23893201,0.24995358,0.26003328,0.26491162,0.2641232,0.2600226,0.25611258,0.25488114,0.25777733,0.2645813,0.273345,0.28049827,0.2821386,0.2758713,0.2617612,0.24226247,0.22046442,0.1987472,0.17821974,0.15943119,0.14273997,0.12826301,0.115975626,0.10601798,0.09871164,0.093352854,0.08800756,0.080252655,0.0694742,0.05700955,0.04538286,0.036152657,0.02966055,0.025197519,0.022106754,0.02002836,0.018926324,0.018644618,0.018634757,0.018084183,0.016376073,0.013567132,0.010336575,0.007517372,0.0056056767,0.0046292455,0.004340291,0.004405609,0.0045233476,0.00448876,0.004253773,0.003914043,0.0035938586,0.0033632333,0.0032212522,0.0031468738,0.0031080467,0.003039871,0.0028400647,0.002426367,0.0018203933,0.0011577489,0.0006073503,0.00025962418,9.636965E-05,4.0491042E-05,2.5550251E-05,2.0260863E-05,1.6745396E-05,1.41030505E-05,1.17295285E-05,9.431578E-06,7.264826E-06,5.4183643E-06,3.987376E-06,2.9805678E-06,2.3297598E-06,1.972767E-06,1.7754701E-06,1.6221762E-06,1.3822128E-06,1.0542581E-06,7.068548E-07,4.993878E-07,5.284147E-07,7.57198E-07,1.0200612E-06,1.143686E-06,1.118909E-06,1.0384933E-06,1.0081228E-06,1.0076087E-06]