[0.013234089,0.01307732,0.012430046,0.011201131,0.009906917,0.00940501,0.009932648,0.010876196,0.011361069,0.011264827,0.011253413,0.012020611,0.01349616,0.01502578,0.016220048,0.017339287,0.018747984,0.020092187,0.02045423,0.01928173,0.01720955,0.0156245865,0.01566041,0.01714815,0.018791065,0.01900989,0.017433943,0.015187699,0.014206097,0.015250102,0.017382657,0.018573621,0.0179539,0.01635759,0.015613916,0.016579328,0.018497111,0.01984448,0.019637333,0.018295432,0.016870888,0.016140057,0.015853666,0.015385978,0.014602329,0.013906657,0.013575018,0.013090159,0.011922586,0.010204994,0.008907474,0.008650948,0.009181873,0.009592309,0.009471626,0.009138532,0.009284227,0.010424443,0.012998124,0.017995553,0.025807893,0.03636204,0.047995973,0.061316237,0.077880986,0.10080724,0.1274079,0.1507941,0.16097985,0.15487398,0.13656381,0.115533955,0.09812877,0.08547303,0.0743151,0.061487135,0.04693495,0.03419749,0.028707823,0.03322773,0.045825154,0.060164332,0.07038748,0.07413131,0.072532244,0.06786949,0.06127285,0.05426145,0.049077835,0.049498644,0.057106912,0.07016618,0.083249785,0.09172351,0.09384269,0.09175547,0.08841375,0.085323155,0.08131456,0.074492246,0.06556993,0.058490913,0.05637901,0.057741318,0.05646269,0.049189862,0.03717748,0.026021259,0.018638687,0.01566009,0.015522443,0.01882161,0.026689297,0.04120359,0.059229255,0.07479776,0.07854981,0.06933242,0.052151803,0.038959164,0.03646065,0.046745975,0.06485777,0.08526989,0.102083765,0.11250562,0.11573976,0.112776816,0.106136076,0.09852528,0.09393597,0.09244082,0.09313893,0.0914267,0.08616089,0.07641354,0.06444522,0.05140756,0.038943853,0.028009204,0.019964637,0.01664529,0.019557713,0.028942818,0.04284227,0.058053482,0.070889175,0.078461826,0.07892897,0.07308503,0.06299732,0.051415935,0.04005344,0.031577315,0.029511983,0.03632052,0.050502356,0.06617081,0.07708766,0.079056226,0.072401024,0.060010213,0.046973635,0.0373316,0.033511862,0.035188567,0.04030923,0.04542363,0.047163468,0.044826504,0.04133645,0.041594595,0.04757297,0.057069387,0.06513109,0.06894197,0.0693529,0.06978173,0.07232162,0.07511263,0.074707024,0.06951838,0.06305407,0.05910704,0.05859145,0.05785108,0.05466494,0.050517958,0.048309196,0.048256744,0.047251914,0.04587552,0.048127066,0.060148984,0.07981935,0.099806614,0.10979041,0.1075623,0.09700791,0.08605254,0.078498535,0.07450507,0.07203418,0.0699101,0.06654448,0.059955228,0.048626196,0.034519587,0.021676952,0.014212568,0.01237267,0.013857913,0.015932754,0.019333988,0.027110407,0.040058862,0.053484302,0.05954781,0.056024,0.048777204,0.04702285,0.05371936,0.06355379,0.07069389,0.074517794,0.08088907,0.09206766,0.10611562,0.11659024,0.12242509,0.12444844,0.12581152,0.12520798,0.12202492,0.11504408,0.106039695,0.096683174,0.089833386,0.08658236,0.08618782,0.08570411,0.083392985,0.07898232,0.072992265,0.064399354,0.052484002,0.038529977,0.026188768,0.01848696,0.015597451,0.015518039,0.017011901,0.022132205,0.034919187,0.057488542,0.08633525,0.113978446,0.13376077,0.14209546,0.1380549,0.1210019,0.094994396,0.06725914,0.046903405,0.036409732,0.0336747,0.03393581,0.03452504,0.033684578,0.030445697,0.025674367,0.022912093,0.027259553,0.04100838,0.06185479,0.08304605,0.09815391,0.10317593,0.097916625,0.084084935,0.06538533,0.04730664,0.03583451,0.03427817,0.040756617,0.04958135,0.055086058,0.05461203,0.0495324,0.044136155,0.044413313,0.053351928,0.068102136,0.079330124,0.07907292,0.066098504,0.04790601,0.03368144,0.028495425,0.030547837,0.033927303,0.03369099,0.028490877,0.021135258,0.014981029,0.012052845,0.011839491,0.013054355,0.014707185,0.01665332,0.018878633,0.020915277,0.022025974,0.021894641,0.021134222,0.020819461,0.022343533,0.027024642,0.036541823,0.05049342,0.065892465,0.07640249,0.07783851,0.06976465,0.056927208,0.04394416,0.034537684,0.031269263,0.038351923,0.06007576,0.09640664,0.14060874,0.18121518,0.21055041,0.22732328,0.23583156,0.23818688,0.23476441,0.22583969,0.21583153,0.20820504,0.20230837,0.19250138,0.17669396,0.1585065,0.1470182,0.14659728,0.15692703,0.17040634,0.18058324,0.18029284,0.167773,0.143647,0.11506948,0.090126246,0.07509831,0.06890791,0.06522966,0.058146153,0.046854805,0.036372002,0.03235944,0.037112314,0.04703307,0.05541331,0.057043746,0.053131018,0.05074647,0.059051912,0.08080841,0.111011125,0.1365055,0.14641492,0.13525303,0.10825101,0.07485953,0.045861542,0.0270759,0.020330368,0.024907812,0.042045385,0.073508725,0.11827036,0.16582698,0.20013702,0.2071008,0.18550901,0.14542975,0.1012983,0.06343339,0.036274653,0.020439362,0.014283664,0.015071551,0.019703098,0.026880557,0.037666664,0.05450536,0.076476984,0.09837869,0.11136485,0.11131684,0.09970332,0.08398915,0.0696091,0.06039114,0.05789745,0.06332386,0.074623376,0.085298456,0.088971995,0.082691826,0.070320435,0.056769922,0.04722174,0.04280719,0.04339074,0.045969483,0.048766375,0.05030578,0.050887186,0.049915448,0.047031447,0.042083945,0.037153866,0.03611955,0.044581342,0.06450192,0.09269413,0.1190868,0.13608088,0.14080572,0.13763653,0.13029571,0.120782286,0.10894074,0.09550426,0.08177829,0.06828971,0.055331975,0.04465011,0.040197585,0.04545969,0.05945918,0.0763053,0.0879542,0.08930987,0.07978738,0.06295219,0.04384276,0.027099932,0.015566069,0.010214857,0.011285248,0.01902021,0.03275874,0.049880605,0.066294424,0.08067996,0.09506783,0.11269895,0.13042727,0.13966005,0.13128848,0.1056067,0.07165544,0.041932642,0.02466563,0.022997012,0.035864606,0.058083072,0.08082599,0.09603699,0.10307718,0.107415,0.11355927,0.11726198,0.11192296,0.096582375,0.08213052,0.07951266,0.09223821,0.11212647,0.13128157,0.1441592,0.14840579,0.13860802,0.11381438,0.08056074,0.053435545,0.04309083,0.051006507,0.067876436,0.081513174,0.08263591,0.072420195,0.059755478,0.057050075,0.06861868,0.09144419,0.11456586,0.12982099,0.13114719,0.11986526,0.09872777,0.074219756,0.052319657,0.040082324,0.041029613,0.05404316,0.07146519,0.08424891,0.08587247,0.07672212,0.060786083,0.04355815,0.028270641,0.016936874,0.00989985,0.006761125,0.006149357,0.0067658313,0.007840027,0.009614474,0.012277926,0.015607716,0.019542607,0.026565105,0.042619925,0.072298296,0.11368516,0.15461266,0.1809135,0.18333708,0.16397916,0.13126825,0.09544303,0.06440752,0.042851333,0.03242727,0.030913591,0.034338716,0.038392026,0.040891156,0.041486755,0.04104713,0.040394593,0.039745476,0.038842056,0.037439365,0.035785124,0.034453664,0.033961397,0.03439254,0.03536998,0.036334347,0.036890205,0.037166554,0.037678618,0.038860857,0.04045689,0.041607082,0.04149185,0.040178496,0.03899875,0.040008426,0.045465548,0.05611542,0.07183113,0.09021276,0.107993625,0.119654976,0.122247376,0.11838322,0.116708815,0.12365627,0.13574322,0.14279146,0.13686669,0.11968047,0.097337276,0.0752482,0.056417212,0.045503218,0.050030965,0.07421716,0.11456933,0.156148,0.18287875,0.18324803,0.15966219,0.1216334,0.08312946,0.053086013,0.036397975,0.03141115,0.034067225,0.03858294,0.04156983,0.042371262,0.04311973,0.04553713,0.048835512,0.049724042,0.045453563,0.037203584,0.031039422,0.035726506,0.057559688,0.094786905,0.13625492,0.16776492,0.18257152,0.18472159,0.18236238,0.1767779,0.16240966,0.13409145,0.09624534,0.059259538,0.032886457,0.01887169,0.01372816,0.012671769,0.014214062,0.021164024,0.038497612,0.07050478,0.11366966,0.15801142,0.18870501,0.19783407,0.18518426,0.15961243,0.13053541,0.10470092,0.0833623,0.06438025,0.04638782,0.030043244,0.017837048,0.010597966,0.0076708086,0.007856873,0.011300147,0.018350145,0.027749,0.035874743,0.039958555,0.04182965,0.048755903,0.06677026,0.09504927,0.124165535,0.1460733,0.15796341,0.16469038,0.16916311,0.17358643,0.17632402,0.17644586,0.17051832,0.1575088,0.13889737,0.1192717,0.102098264,0.091372155,0.09242383,0.11104137,0.14399911,0.17809148,0.19376983,0.18205649,0.14873508,0.114548504,0.095953904,0.09802138,0.109348536,0.11976872,0.12397147,0.12749602,0.13194355,0.13744187,0.13755755,0.13082255,0.117702864,0.10641346,0.1033639,0.11243083,0.12789115,0.14305274,0.15265489,0.15835392,0.16280212,0.16843466,0.17649038,0.1877215,0.20069706,0.20831054,0.2013932,0.17689109,0.14527439,0.12728831,0.13627243,0.16642606,0.19317122,0.19637121,0.17362888,0.14045249,0.111728214,0.09282141,0.08040258,0.070849754,0.06255306,0.055532604,0.049558014,0.044853974,0.040980604,0.036881734,0.031956587,0.028668864,0.03281,0.047725286,0.07002986,0.08837828,0.092805356,0.0802638,0.05774811,0.034545958,0.017628917,0.008049481,0.003946697,0.003138432,0.0058063865,0.014916879,0.033433106,0.061628025,0.09541128,0.13073744,0.1646175,0.19418257,0.21306206,0.2152437,0.20195977,0.18074143,0.1590447,0.13565882,0.107339464,0.073903866,0.04259755,0.01989265,0.007858417,0.0032480434,0.0021690794,0.0022427407,0.0027480864,0.0034914415,0.004247511,0.005527474,0.009068054,0.018822743,0.03838184,0.069578804,0.10739898,0.14261954,0.16321027,0.16374493,0.14518715,0.11556121,0.082345136,0.052180916,0.028510524,0.013867167,0.008218273,0.010528798,0.017647032,0.028123753,0.043384403,0.07203796,0.12093392,0.18908285,0.2596163,0.313714,0.34063682,0.34529588,0.3370905,0.32248434,0.30220547,0.27453843,0.23676151,0.18787497,0.13307583,0.08559627,0.060159147,0.06358733,0.09143194,0.1310118,0.16808623,0.1894864,0.18756755,0.16156317,0.119907685,0.07527491,0.039314356,0.016759433,0.006059516,0.00268399,0.0033735007,0.0074043158,0.014964993,0.024761677,0.032973062,0.03564688,0.031824857,0.024816608,0.019154591,0.016976677,0.017458463,0.020157164,0.028459257,0.047549557,0.079431616,0.118080914,0.1525908,0.17461973,0.18548453,0.19464795,0.21019073,0.23030968,0.24430771,0.24205442,0.22231244,0.1902722,0.15282616,0.114181876,0.07971282,0.05460949,0.042629335,0.04219338,0.04973271,0.062267303,0.07835629,0.09465597,0.10555852,0.10632039,0.0975512,0.08454985,0.0735164,0.06718669,0.06496963,0.06479898,0.06573957,0.068017386,0.07157626,0.07480682,0.07508422,0.07160343,0.06598195,0.061143044,0.057498604,0.053766716,0.04839837,0.04348133,0.04086937,0.040795136,0.03884996,0.033186905,0.026168989,0.025191976,0.03449424,0.05079809,0.064881,0.06920201,0.06681489,0.068126954,0.08144595,0.10220217,0.11690862,0.1161702,0.102412134,0.0867188,0.07636375,0.072427146,0.072227515,0.075918615,0.08514132,0.09843219,0.10969018,0.11017736,0.09657612,0.073882125,0.055150706,0.05335699,0.07141488,0.09904029,0.11688892,0.11269835,0.087532915,0.056007575,0.031591292,0.020250821,0.019251483,0.025464585,0.038977813,0.060958307,0.0878092,0.110173404,0.11872082,0.11261163,0.09983209,0.09213171,0.09417365,0.1024282,0.10638538,0.09941528,0.08138999,0.060968906,0.04716927,0.04543787,0.05359457,0.06606766,0.076951146,0.08245232,0.08007906,0.06864942,0.050341886,0.030296206,0.01461829,0.0067047253,0.009200811,0.02588796,0.060968947,0.110988714,0.16221243,0.19603981,0.20400769,0.19114429,0.17036064,0.1488568,0.12668264,0.10110768,0.07277865,0.045914765,0.024652481,0.0117581645,0.007859588,0.013188827,0.026900021,0.045651034,0.06399983,0.07579575,0.07952314,0.07711137,0.073623896,0.0713828,0.07097894,0.07038623,0.06830469,0.06382104,0.05728741,0.04908133,0.039616432,0.029241137,0.019031907,0.010491803,0.0048531624,0.0028041226,0.0051247296,0.01335013,0.027768532,0.046482172,0.06559076,0.082533024,0.096507005,0.10675504,0.11091941,0.10673358,0.09568676,0.083994836,0.07886511,0.083907604,0.097165525,0.11384475,0.13009162,0.14185171,0.1467559,0.1424505,0.13390972,0.12716441,0.12738739,0.1298822,0.12673804,0.1125691,0.09053019,0.06870427,0.05401443,0.04833403,0.048659947,0.049880072,0.048256647,0.043055262,0.03666993,0.032571804,0.03344662,0.040243287,0.05130894,0.06302697,0.07011028,0.06883565,0.058709133,0.04391252,0.029963585,0.020862615,0.016689114,0.015432057,0.014936582,0.014372618,0.013603352,0.012788101,0.012121312,0.012090373,0.012850481,0.014680962,0.017855346,0.02379924,0.033289928,0.04714464,0.06469213,0.08496716,0.10407472,0.11664244,0.11871932,0.11208788,0.10288593,0.095654756,0.08932423,0.07965308,0.06423335,0.045977265,0.029988175,0.02072346,0.018504648,0.022983849,0.035505917,0.06099817,0.09963512,0.14163077,0.1688606,0.17161433,0.15921547,0.15478526,0.17424585,0.21080919,0.2399707,0.23833083,0.20094566,0.14269747,0.085670054,0.045230124,0.023318721,0.014013072,0.010289949,0.008897341,0.008747581,0.009328918,0.009779605,0.009746869,0.009514843,0.009608342,0.010078692,0.01059942,0.010923387,0.011301217,0.01213827,0.013431062,0.014675745,0.015341698,0.01545874,0.015406277,0.0154975755,0.015604193,0.015417818,0.014824982,0.014240974,0.014667806,0.017415361,0.022917433,0.030020857,0.035686057,0.03773117,0.036428813,0.035430115,0.037919845,0.04415724,0.050830644,0.0542765,0.05287261,0.046941195,0.03788578,0.0273764,0.018442193,0.014943575,0.020891571,0.036492348,0.056650843,0.071661085,0.07492568,0.067757934,0.05917282,0.05780096,0.066469945,0.08162323,0.097371824,0.10778608,0.10866553,0.09810322,0.07924072,0.059112873,0.04655211,0.04591377,0.055950653,0.07027179,0.08231718,0.086760335,0.08110514,0.06581203,0.045451615,0.027011065,0.016414417,0.014834781,0.01897944,0.023687879,0.026196472,0.02614381,0.024978781,0.023095919,0.021753235,0.022878839,0.029515749,0.041855652,0.056944843,0.06985574,0.07768574,0.08081674,0.081283815,0.07967933,0.07433746,0.06404017,0.05167971,0.04375757,0.046139438,0.059038054,0.07615045,0.08822459,0.08783958,0.074052185,0.052033488,0.030340105,0.015449487,0.010522806,0.01611613,0.03225496,0.05686279,0.08507299,0.109328866,0.1243814,0.12881178,0.12536626,0.11637596,0.10371617,0.08962041,0.07830741,0.072933175,0.07229167,0.07161624,0.06640755,0.056098063,0.042581063,0.028930776,0.017541336,0.011094312,0.011753338,0.020846048,0.037567634,0.057947814,0.076211035,0.08758077,0.09267437,0.096041046,0.10195589,0.10933713,0.11319362,0.10905525,0.09630083,0.07846734,0.06090199,0.049627725,0.04787591,0.05493935,0.065091014,0.0717817,0.07102919,0.06436702,0.05732915,0.056103278,0.06415836,0.08014104,0.099159956,0.11396461,0.118956156,0.112549454,0.10066276,0.09285299,0.095868655,0.10558241,0.111092746,0.103963174,0.087955706,0.07342289,0.06783178,0.067752816,0.065798946,0.058474615,0.051135033,0.05017574,0.056647796,0.06331542,0.06289458,0.05388337,0.042751584,0.036832165,0.039193064,0.047163215,0.05632614,0.063826896,0.06842369,0.07008192,0.06889748,0.066283934,0.06360934,0.062030133,0.061317343,0.060519587,0.05828175,0.05367756,0.04716591,0.040455356,0.035587642,0.03298842,0.031672597,0.03006524,0.028249674,0.02755016,0.030262634,0.037847828,0.05141593,0.07104409,0.09529135,0.11898913,0.13401814,0.13290717,0.115118064,0.0883986,0.06524352,0.054325353,0.05649175,0.064321,0.06868824,0.06378922,0.05157621,0.038736206,0.032004844,0.032413024,0.03617479,0.038511995,0.038226087,0.036887962,0.036295783,0.03697968,0.0397201,0.04595043,0.055598438,0.066257894,0.07547855,0.08428811,0.09501642,0.10709409,0.115398854,0.11487768,0.10497234,0.08943516,0.07365783,0.061605062,0.055310488,0.053378496,0.05278254,0.050961927,0.048642233,0.047390655,0.04716127,0.045207072,0.04005182,0.033148978,0.027913047,0.025837196,0.025838926,0.02611206,0.02604886,0.026488258,0.028335297,0.032464374,0.038348507,0.04422922,0.046694875,0.043888982,0.036327433,0.027363643,0.019994551,0.015793437,0.014123098,0.013503044,0.012532025,0.010918975,0.00940904,0.008968372,0.009938641,0.011914507,0.014382516,0.017073218,0.019892037,0.022493936,0.02471023,0.026919596,0.03044489,0.035605222,0.041072834,0.043833587,0.043106962,0.041456163,0.043506984,0.05158485,0.063569374,0.07542937,0.083189316,0.08571166,0.0823164,0.074097775,0.062230986,0.049656633,0.038889993,0.032403413,0.031611633,0.038278576,0.053779084,0.0780369,0.10617641,0.1287302,0.1351979,0.121498786,0.093010165,0.061366368,0.036581993,0.022314733,0.017011384,0.018462094,0.026239803,0.040489748,0.058745444,0.07594872,0.0864976,0.087982,0.08090433,0.0681595,0.053005088,0.03906376,0.028863838,0.023882538,0.024779247,0.032892253,0.048184533,0.06806877,0.08624786,0.09779477,0.100988686,0.09913942,0.09715706,0.100117184,0.1110934,0.1287646,0.14764638,0.15801285,0.15282744,0.1299678,0.09656695,0.06290465,0.038268056,0.024948476,0.020093633,0.018883891,0.018046021,0.017096013,0.01713371,0.020026432,0.025660785,0.03335424,0.042104494,0.054296236,0.070875965,0.09080386,0.107662015,0.11698878,0.116040446,0.10664948,0.09168,0.07706047,0.067794316,0.06516767,0.06441357,0.060258154,0.05191106,0.04509403,0.049067706,0.072891034,0.11955452,0.17810003,0.22445373,0.23355801,0.20088518,0.14618354,0.101088524,0.08484876,0.0968247,0.12142781,0.14095643,0.14371677,0.1267764,0.097367086,0.06687256,0.046018828,0.037334498,0.037655067,0.041291,0.046253245,0.055691022,0.07448924,0.103662826,0.13461226,0.15489317,0.15607648,0.14232989,0.124327034,0.11059185,0.10059,0.088825814,0.0721056,0.052371696,0.034714524,0.022244958,0.015396704,0.01232376,0.011526835,0.012164413,0.014289518,0.017421566,0.020639172,0.022685543,0.023875909,0.02522505,0.02753123,0.029591769,0.029891884,0.028323956,0.026311772,0.025213292,0.024773365,0.024886278,0.026187599,0.030353129,0.037270322,0.044828158,0.04934312,0.048567478,0.0426126,0.03414916,0.026368642,0.022188256,0.023392433,0.03098371,0.044596616,0.06492757,0.09409269,0.13452917,0.17968695,0.21300864,0.21618791,0.18837565,0.14987724,0.12594001,0.124172114,0.12954447,0.1237036,0.10323203,0.08123666,0.07145097,0.07481062,0.08215962,0.08328375,0.07719946,0.06786999,0.060231406,0.053976413,0.048189104,0.043592203,0.0436386,0.049716193,0.059042733,0.06655294,0.068568975,0.06490619,0.058169115,0.052010532,0.05035634,0.054489624,0.0644055,0.07579256,0.08532668,0.08763189,0.08268639,0.07281162,0.06885921,0.08145795,0.116355866,0.16141464,0.1933649,0.19008523,0.152218,0.09934967,0.057686802,0.03758808,0.034868088,0.03689866,0.036667157,0.0329218,0.028820252,0.026432203,0.026482485,0.028781436,0.03326863,0.039647583,0.046812955,0.053962078,0.06165416,0.0710076,0.081423976,0.08986387,0.09448957,0.09754943,0.102413625,0.10938156,0.11228111,0.107522964,0.09502333,0.082600474,0.07460386,0.07427695,0.0785275,0.086105,0.09432239,0.10242191,0.107697934,0.10878494,0.107289284,0.10682714,0.10929245,0.110178135,0.10461483,0.09213599,0.078887604,0.07169797,0.07235425,0.07916549,0.088332385,0.09916445,0.112133235,0.12892897,0.14822811,0.16525818,0.17306721,0.1695533,0.16115437,0.16358723,0.18660332,0.22655766,0.26133853,0.27237043,0.25415143,0.22026967,0.18453895,0.15420488,0.12733251,0.10449735,0.09148514,0.098697,0.12740128,0.16557631,0.18932217,0.18433039,0.15432201,0.12037585,0.10120218,0.10574841,0.12757258,0.1524611,0.16219491,0.1527282,0.13692455,0.13701491,0.15786853,0.18097968,0.18104734,0.15107854,0.10782719,0.07265406,0.05456024,0.04685471,0.04079423,0.033426035,0.028375596,0.028532555,0.033932462,0.041822717,0.049728755,0.055211827,0.056724552,0.05319485,0.04590501,0.037594225,0.0319728,0.031239519,0.035695013,0.04374124,0.052977365,0.060552094,0.06418746,0.06281848,0.058062393,0.05245999,0.048473135,0.04604837,0.044372723,0.04255468,0.041022148,0.039923802,0.038518276,0.035395026,0.031514596,0.031233946,0.04219255,0.068395354,0.10733521,0.14704631,0.17485535,0.1825427,0.17173718,0.14982058,0.1252717,0.10474854,0.09153464,0.0869281,0.09028602,0.10065069,0.11924645,0.14549898,0.17836082,0.20858414,0.22790627,0.22541213,0.20060013,0.15802833,0.11230961,0.07531486,0.05363816,0.043842252,0.03956452,0.03590517,0.03268173,0.03208806,0.036138836,0.044263512,0.053559694,0.060571034,0.063422956,0.062561095,0.059265226,0.05448085,0.04814118,0.040673386,0.033160623,0.02735109,0.023990745,0.022692526,0.022357628,0.022583814,0.024339095,0.029146573,0.037109256,0.04584739,0.051429838,0.05165273,0.046806026,0.03953847,0.032187823,0.026906556,0.025004352,0.02657327,0.029881904,0.03201506,0.032001313,0.03107475,0.03192984,0.0350701,0.038848937,0.04071929,0.039854545,0.03730389,0.034833685,0.033572763,0.03363991,0.034499105,0.035369594,0.035622388,0.03510864,0.034256686,0.033738088,0.033962026,0.034712076,0.035299633,0.03499458,0.03372479,0.032199573,0.031567156,0.0323025,0.033819366,0.034779236,0.03444147,0.033259943,0.032465342,0.032873992,0.034077782,0.03501609,0.034809157,0.033787232,0.032965716,0.033317167,0.034717496,0.036199465,0.03675134,0.03603032,0.034392163,0.03230815,0.030259272,0.028662905,0.028021894,0.028512007,0.029867893,0.03142774,0.032655507,0.033335794,0.033565845,0.03344682,0.03307086,0.032608848,0.032347426,0.032466322,0.032690506,0.032468732,0.031298652,0.029285537,0.026926791,0.024803462,0.023049332,0.021611825,0.020584522,0.020612774,0.021923795,0.023899565,0.02468885,0.023272946,0.020013496,0.017133785,0.01644893,0.01842131,0.02137799,0.023194464,0.022866353,0.021653786,0.021445816,0.023088587,0.025567474,0.028733557,0.034163136,0.04468143,0.059224468,0.072567165,0.07682068,0.0690914,0.05292067,0.037390985,0.029688068,0.031354643,0.038074832,0.044246193,0.047780022,0.04952475,0.05094401,0.050614327,0.046904545,0.03984112,0.033315416,0.032272983,0.04091051,0.058078345,0.0776025,0.08947402,0.08878104,0.077405006,0.06414488,0.05618304,0.058172386,0.06942318,0.086144485,0.0993819,0.10129509,0.08902871,0.06947286,0.05192223,0.042374488,0.038763672,0.035905544,0.03008625,0.021661503,0.013238219,0.006847918,0.0031129562,0.0013714045,0.0008847371,0.0010702623,0.0016057588,0.0022096715,0.002580811,0.002606237,0.002639639,0.0035267302,0.006330921,0.010846156,0.015502392,0.017474735,0.015686752,0.011432152,0.008780308,0.011872414,0.022558056,0.038345817,0.05241053,0.057919517,0.052119166,0.038847253,0.024570072,0.01427817,0.008965095,0.0073583717,0.0081720045,0.011265342,0.01680466,0.023915654,0.029871454,0.032053974,0.030089023,0.027362697,0.027764818,0.03267488,0.03883515,0.04203416,0.039857343,0.03397524,0.02692982,0.020979287,0.016394483,0.01358058,0.01231352,0.012261777,0.012165467,0.011616557,0.0115922615,0.014352378,0.02139361,0.031789247,0.04176003,0.046892688,0.044996515,0.038317267,0.031458415,0.029048616,0.03320568,0.044871856,0.06282609,0.08347496,0.09972062,0.10479305,0.09588916,0.07733918,0.058727156,0.050685663,0.057756443,0.07560763,0.09249949,0.09909437,0.09300124,0.07987053,0.06538293,0.052591443,0.041242514,0.031374257,0.023901174,0.020573104,0.024107223,0.038726956,0.068112046,0.110839866,0.15665613,0.19064666,0.20196845,0.19212036,0.17058279,0.14698397,0.1233013,0.09910936,0.07524198,0.05605142,0.043364774,0.035489876,0.028835826,0.022271566,0.017307037,0.01709379,0.024309775,0.040630843,0.0643158,0.090704136,0.112678684,0.12558627,0.12752895,0.120879434,0.10841045,0.094412655,0.0809434,0.06942336,0.05801906,0.046210453,0.034206804,0.024461,0.017901788,0.0140560195,0.011405632,0.00930576,0.007880574,0.0072395667,0.006998148,0.00701933,0.0074725486,0.008744144,0.010292939,0.0113577945,0.01139344,0.011629894,0.014536928,0.022961995,0.03675883,0.052268755,0.06358641,0.06808656,0.0671,0.06449774,0.061555173,0.057856083,0.05266579,0.047368318,0.043109696,0.03951906,0.0346022,0.027309181,0.018680504,0.011201014,0.0066540814,0.0056176055,0.007989905,0.014592023,0.025453014,0.038901538,0.05020459,0.055865977,0.055475637,0.05348112,0.055849563,0.06833812,0.09223472,0.12282282,0.14927281,0.16309018,0.16300501,0.1563363,0.14923336,0.14323442,0.13521437,0.12443381,0.112768464,0.10277026,0.09345839,0.08204345,0.06660142,0.04928712,0.03418666,0.024898022,0.02124207,0.020587323,0.019308416,0.016010813,0.011217839,0.0068834717,0.004018614,0.0026492577,0.0019856987,0.0015350273,0.0011446693,0.00086414866,0.0007014941,0.0006435549,0.0009398881,0.0022319967,0.005532177,0.011348188,0.019150408,0.026972512,0.032537833,0.033936653,0.03075506,0.024040872,0.016877847,0.013484628,0.018098315,0.03178817,0.051482636,0.07053808,0.08355316,0.08884778,0.08850849,0.084317915,0.07616448,0.06354464,0.04893219,0.037579615,0.033991158,0.037434775,0.042483825,0.042623773,0.03568556,0.024189731,0.013115258,0.005609248,0.0020506855,0.0013868976,0.0036026414,0.011021518,0.026217265,0.049640458,0.07687219,0.102253415,0.121716,0.13665025,0.14854296,0.15726595,0.15834002,0.14990957,0.13312909,0.11333111,0.09405967,0.07705427,0.06184138,0.048407484,0.03709319,0.028441466,0.022783382,0.020493262,0.02207595,0.027082441,0.0334246,0.037721448,0.03796569,0.034403805,0.029278874,0.024429353,0.021388082,0.021354506,0.025019357,0.03129418,0.036842067,0.03861909,0.03529093,0.029024454,0.02289416,0.019750295,0.019786684,0.021692267,0.023553832,0.024548547,0.024763072,0.024932288,0.02535704,0.025944844,0.025723986,0.024196027,0.021373183,0.018437821,0.01666917,0.017295519,0.021403858,0.030226564,0.0446413,0.063540675,0.082483225,0.09528872,0.097441494,0.089702986,0.07647415,0.06286458,0.051219296,0.04201092,0.03507985,0.03078025,0.02933628,0.029974515,0.030958446,0.030333826,0.027212122,0.022162475,0.016866976,0.013300651,0.013265804,0.017685799,0.02636916,0.037382457,0.048121054,0.055449788,0.05723316,0.052504886,0.04288119,0.031784255,0.023044376,0.01843545,0.017218849,0.017398559,0.017686674,0.01784852,0.01803724,0.018061489,0.017869622,0.01796119,0.018858789,0.020398827,0.021740729,0.022642383,0.023720866,0.02560653,0.028128482,0.030715227,0.03373644,0.03775348,0.042725444,0.04712269,0.049715817,0.049882796,0.047739085,0.04339522,0.037634153,0.032178003,0.028556444,0.027508669,0.028041469,0.029230915,0.030728126,0.034845423,0.04549432,0.06474612,0.09058467,0.11493504,0.13032125,0.13021024,0.1157558,0.09121438,0.06609173,0.046506923,0.03518838,0.029497446,0.028525522,0.03415559,0.049503148,0.071669474,0.09170582,0.0990139,0.090261675,0.0699512,0.047663014,0.031128058,0.024685914,0.027806863,0.038145665,0.052719276,0.07121574,0.09185773,0.11102351,0.12190949,0.12229464,0.11437134,0.10370021,0.09322903,0.08391497,0.07609526,0.070225805,0.06646476,0.0636756,0.060881678,0.056969404,0.051900778,0.04563855,0.039421596,0.034681264,0.034352075,0.039455287,0.049094394,0.05898653,0.0679756,0.078805365,0.09651259,0.11845597,0.13375258,0.12980066,0.10492947,0.06910548,0.036843795,0.016321864,0.008124725,0.007931746,0.011151808,0.014211736,0.015534807,0.015935129,0.016936477,0.019357964,0.021921309,0.023454733,0.023462988,0.02300816,0.023673305,0.027232608,0.03496583,0.04702674,0.06317125,0.0813864,0.0981887,0.107731946,0.10782804,0.101296954,0.09772854,0.104124606,0.122374654,0.14477251,0.16360107,0.17357649,0.17685248,0.1749738,0.16757457,0.15225059,0.12981983,0.105421215,0.084337585,0.069929294,0.061203923,0.05655374,0.054641426,0.059013575,0.07590675,0.110705726,0.15830076,0.20362906,0.22830926,0.22554897,0.20149608,0.17039464,0.1420953,0.12103858,0.10633687,0.09604149,0.08776465,0.08187136,0.08235541,0.092832886,0.111302495,0.12863873,0.13660069,0.13320532,0.12390199,0.1144236,0.10832135,0.10489943,0.10200018,0.09690776,0.091276914,0.09103516,0.1028181,0.12486669,0.14735973,0.15885186,0.15684552,0.14634366,0.13403058,0.12296331,0.113271855,0.10552996,0.099233426,0.09460125,0.08999297,0.08481877,0.077978864,0.07128457,0.06707864,0.06640821,0.0658467,0.062119354,0.055620115,0.051910523,0.05428058,0.06117658,0.06578739,0.064160965,0.056807756,0.049130667,0.044952378,0.045334946,0.048206497,0.05185465,0.05525166,0.058078215,0.05934574,0.05832674,0.054611843,0.049663622,0.04524766,0.04307319,0.04254532,0.041737687,0.038619485,0.03311276,0.027646735,0.025882715,0.030705715,0.042349484,0.058339965,0.07436111,0.08640033,0.092646874,0.09605879,0.10261796,0.116703935,0.13615523,0.15314107,0.16182105,0.16243722,0.16113298,0.16181765,0.16405596,0.16394357,0.1597644,0.1533792,0.14844693,0.14704551,0.14710402,0.1437933,0.13258088,0.11412988,0.09425088,0.081319116,0.08039004,0.09147787,0.110572636,0.13013898,0.14253594,0.13925436,0.12173405,0.09677371,0.079498075,0.07613638,0.089637674,0.112786554,0.14212541,0.17006837,0.194167,0.20725937,0.20714295,0.1901433,0.161726,0.13071692,0.112407826,0.117282666,0.14941026,0.19979493,0.25292686,0.28979632,0.30019268,0.2843202,0.25343367,0.21989048,0.19009393,0.1653019,0.1440999,0.13100377,0.13132228,0.14958127,0.18048878,0.2125985,0.235543,0.24743402,0.25385585,0.25863233,0.2605761,0.25589383,0.24412513,0.22805865,0.21354462,0.20740336,0.21842259,0.24700414,0.2819835,0.30087832,0.28957286,0.2513471,0.20480484,0.16688065,0.14419128,0.13466805,0.13306133,0.13357325,0.12951301,0.116690375,0.09637302,0.07742115,0.07393676,0.09698119,0.14873843,0.21171911,0.2599545,0.26623756,0.22823505,0.16226305,0.09816312,0.053331777,0.031601235,0.024890253,0.025351502,0.028270602,0.034734353,0.05141741,0.089615375,0.15497822,0.2409817,0.32690316,0.39317915,0.4265764,0.42386118,0.38360918,0.31512067,0.23686373,0.17268921,0.1314647,0.107797794,0.089217596,0.0720458,0.058259755,0.051201552,0.048954543,0.047735233,0.044305786,0.03906348,0.034508962,0.03298038,0.034032483,0.035152033,0.03404625,0.030748568,0.027251562,0.02554457,0.02616521,0.027581125,0.028212942,0.027578363,0.028156437,0.03188241,0.038610008,0.04379593,0.04493928,0.043971438,0.048467908,0.061727595,0.079569064,0.09096222,0.08935546,0.07610018,0.059156016,0.045123357,0.03701821,0.034726914,0.03758505,0.043532997,0.049573362,0.051745836,0.04925203,0.043539032,0.038027853,0.033943366,0.03161272,0.031267494,0.033173595,0.036337253,0.037661206,0.036038324,0.0328593,0.031099677,0.030978069,0.030460024,0.028353138,0.025304347,0.022914516,0.020474503,0.017146422,0.012544324,0.008350269,0.0056036743,0.0046644085,0.005224153,0.008147071,0.01478837,0.025493301,0.037186727,0.044691473,0.044301327,0.038422346,0.034524072,0.040162027,0.057187054,0.08179987,0.106704675,0.12456878,0.12812531,0.11470962,0.08752778,0.056689683,0.031620353,0.017132038,0.011531341,0.010920271,0.012158676,0.014623103,0.019213235,0.026319584,0.033985958,0.038514275,0.037225157,0.030992748,0.023654042,0.019154057,0.018654497,0.020501127,0.021962002,0.021941287,0.021539384,0.02298367,0.026941134,0.031603836,0.03380913,0.031770714,0.026262375,0.019785529,0.01456662,0.011496014,0.0102202445,0.0098821325,0.00972217,0.009472313,0.009281851,0.009520409,0.010336481,0.01173813,0.013434882,0.015074891,0.016035637,0.015859708,0.0143542,0.01202915,0.010082774,0.010613867,0.016285801,0.028831959,0.0468507,0.064350516,0.07362195,0.06978857,0.05515701,0.038079947,0.028637245,0.033812653,0.05300905,0.0799511,0.1044128,0.11959383,0.12159843,0.110852726,0.09019277,0.06606638,0.04745077,0.041360278,0.050332356,0.06956269,0.08991132,0.10035732,0.094828285,0.07471337,0.048591476,0.02573438,0.012010012,0.008783199,0.015813956,0.032097574,0.054918688,0.07896521,0.0984484,0.110395335,0.11581743,0.11956876,0.12782632,0.14638673,0.17292093,0.19714276,0.20355886,0.18782781,0.1580003,0.12957749,0.10968409,0.09671346,0.08752951,0.083157085,0.08575401,0.09242072,0.09776179,0.0996637,0.09934422,0.10037974,0.105100505,0.120759286,0.15040255,0.19068997,0.22476046,0.24044816,0.23469317,0.21868895,0.20190823,0.19071317,0.18310183,0.17458576,0.15917598,0.13753888,0.119110346,0.11544329,0.1303187,0.15307878,0.16949548,0.16926633,0.15505278,0.13498126,0.1193934,0.11236942,0.11285534,0.1156216,0.11738763,0.11766988,0.11758674,0.11761221,0.118343,0.12241099,0.131069,0.14311963,0.15343021,0.15999942,0.16317381,0.16709322,0.1738817,0.18657017,0.20310313,0.21862559,0.22019048,0.20038651,0.15785637,0.10608416,0.058412474,0.026254326,0.0097138835,0.0058127698,0.010572381,0.023219801,0.04418832,0.071701206,0.10146296,0.12702717,0.14418219,0.15271924,0.15390122,0.14878778,0.13529776,0.11546109,0.09330872,0.07678636,0.067667276,0.06461474,0.062048864,0.059452865,0.060049992,0.06980893,0.08944895,0.11239756,0.12938271,0.13460535,0.1296781,0.11847153,0.10439513,0.08890748,0.07339943,0.059535135,0.047626313,0.038000606,0.030813841,0.027096605,0.026408194,0.026720904,0.025659481,0.022209192,0.018845903,0.02124452,0.03761882,0.072650425,0.12096667,0.1667246,0.19266884,0.19400364,0.17910345,0.16255225,0.15207635,0.14807522,0.14519686,0.13822414,0.12336889,0.101097584,0.07584263,0.05509373,0.04423072,0.04535952,0.054161806,0.064867534,0.06972605,0.066065766,0.054168116,0.040073995,0.028803198,0.023515994,0.023284366,0.027115485,0.034705974,0.045129117,0.054729503,0.059316937,0.05881582,0.058400538,0.06360615,0.07462717,0.085658155,0.08972455,0.08420726,0.072700165,0.06291684,0.060611654,0.06573672,0.07219864,0.074847676,0.07359233,0.07281587,0.074782334,0.076589055,0.07294929,0.061752528,0.046613228,0.033964116,0.02789745,0.028010225,0.030632427,0.033292886,0.03528796,0.03709482,0.037503947,0.0348375,0.028478755,0.020208994,0.01265392,0.0073702275,0.004474823,0.0034478942,0.0040868535,0.0060990923,0.008808685,0.011102766,0.012268327,0.0121933995,0.011334173,0.010477538,0.010636843,0.012811202,0.016751638,0.021028964,0.023327643,0.022769384,0.019947328,0.016995845,0.015481026,0.015856648,0.017068923,0.017625436,0.016599476,0.013969123,0.01077121,0.008567717,0.009265161,0.013634443,0.020395711,0.026308104,0.028296025,0.025712743,0.020343183,0.015076537,0.011545744,0.010057285,0.009708117,0.009839136,0.01062566,0.013908987,0.022728445,0.03891955,0.060254518,0.07945486,0.08845211,0.08360266,0.06853562,0.050523203,0.03581376,0.026428701,0.021705218,0.02000477,0.020712698,0.023126299,0.026525592,0.028947055,0.029179351,0.026696585,0.023134992,0.020588748,0.021782925,0.02757912,0.036554653,0.044316757,0.047171105,0.04477669,0.040415194,0.03715804,0.034993354,0.031805273,0.026376417,0.020040264,0.015581966,0.015365004,0.0198392,0.027234295,0.034266092,0.038411736,0.039090756,0.03764299,0.035451632,0.033090748,0.030364135,0.027077757,0.023916723,0.022062736,0.022137582,0.023142064,0.023401521,0.023274416,0.025399512,0.03334182,0.046928424,0.062123343,0.07199568,0.07276472,0.06528126,0.054780055,0.045309227,0.038130324,0.031712774,0.025790682,0.021936946,0.024052413,0.034085367,0.050365146,0.065583974,0.07241424,0.067592226,0.055106167,0.041543785,0.032089565,0.028025175,0.028104255,0.030050285,0.031968366,0.033421244,0.03506902,0.03718999,0.03880411,0.039663497,0.04149792,0.046897933,0.055522274,0.06421944,0.0688413,0.06784192,0.061646204,0.05345601,0.047604065,0.04911455,0.059074808,0.07324465,0.08322209,0.08265409,0.071331516,0.055381045,0.04285712,0.03963965,0.045452077,0.05518214,0.060476493,0.05760546,0.04741781,0.035943933,0.027464049,0.02509555,0.030137071,0.041782696,0.056905378,0.069848165,0.08148056,0.09726971,0.12488764,0.15962099,0.1867286,0.190629,0.17025091,0.13984737,0.11561078,0.10359014,0.09719051,0.088252276,0.07513919,0.06212568,0.05362792,0.048974916,0.046231177,0.043495458,0.041201722,0.03893082,0.03664654,0.035758283,0.04022695,0.053571496,0.07344825,0.09106049,0.095823966,0.08541939,0.066473134,0.05031583,0.042590942,0.043393586,0.048418384,0.054679874,0.059862297,0.063823216,0.06790271,0.0749503,0.087718494,0.10551009,0.12483442,0.13963448,0.14727937,0.14751923,0.14379707,0.13857417,0.1338883,0.12848704,0.119579226,0.10430321,0.08374494,0.0621507,0.044309724,0.03208385,0.024857303,0.021016106,0.019540621,0.020211564,0.02312204,0.028329877,0.035598993,0.04475051,0.055168435,0.06495888,0.07123954,0.07159033,0.066594996,0.058612134,0.050965954,0.045050327,0.042575985,0.044246074,0.05126493,0.062134072,0.07456065,0.085678816,0.09412739,0.100329034,0.10452031,0.10680514,0.10512924,0.09838045,0.08759108,0.07662952,0.06965143,0.068600625,0.07419752,0.0869235,0.10446165,0.12168089,0.13116926,0.13149399,0.12504931,0.11690507,0.10872656,0.10118302,0.094806366,0.08960647,0.085338406,0.08008218,0.07426518,0.067043036,0.059938997,0.05298337,0.050266195,0.053336035,0.06409707,0.07810119,0.0939447,0.107931316,0.12232991,0.13444085,0.1471854,0.15824746,0.16983648,0.17734896,0.1837523,0.19348331,0.2161091,0.24713425,0.27182648,0.27080595,0.24401309,0.20378007,0.1681354,0.13909559,0.115626216,0.094649635,0.08264548,0.080632366,0.08655112,0.091282874,0.08946833,0.078613676,0.06216122,0.04728351,0.04354698,0.059105556,0.0902921,0.12413627,0.14377077,0.15033741,0.1594675,0.18908294,0.23843507,0.28878233,0.3236817,0.3365209,0.3369664,0.33086857,0.32029915,0.29565215,0.24984717,0.18661009,0.123927325,0.08473545,0.08111429,0.10978398,0.1533824,0.18953268,0.20031185,0.1825159,0.14802271,0.11519218,0.09351092,0.08216625,0.07736546,0.08552199,0.12334672,0.1976406,0.29093593,0.35730076,0.36190316,0.3003959,0.21042846,0.13271834,0.09336675,0.08957866,0.10705227,0.12850423,0.14243811,0.14320417,0.13104124,0.11661615,0.12031595,0.16612285,0.25677064,0.36279556,0.4304923,0.4240063,0.34833613,0.24816485,0.16851664,0.13161945,0.12848867,0.1391644,0.14648505,0.14671464,0.14404784,0.1443231,0.14926183,0.15515392,0.15651916,0.14847396,0.13561784,0.12810524,0.13533999,0.1523536,0.16422512,0.15914449,0.13860406,0.11574324,0.10160736,0.100596845,0.10749487,0.11497877,0.11522293,0.105442345,0.088213556,0.071413495,0.0632056,0.06591632,0.07541317,0.08352088,0.085655056,0.08123544,0.07473291,0.07039521,0.07216698,0.07885773,0.08751008,0.093310475,0.09605577,0.09706136,0.09847898,0.09995661,0.10059855,0.10282435,0.10939461,0.12326693,0.13756977,0.14457059,0.1347964,0.112493835,0.08583937,0.06734816,0.0605102,0.063116305,0.06839612,0.06976968,0.064789616,0.054925103,0.04723981,0.04897644,0.062246114,0.08282756,0.10271526,0.11984482,0.13392532,0.14643653,0.1538554,0.15482803,0.14962481,0.14174657,0.13372742,0.1280179,0.12412438,0.1208986,0.11371744,0.10185483,0.08486139,0.06876381,0.059175596,0.0628522,0.0789196,0.101711,0.12311789,0.13823818,0.14477317,0.1419527,0.13419755,0.12884122,0.13156463,0.13675736,0.1351469,0.1212007,0.09992453,0.07782076,0.058960315,0.043723833,0.0349104,0.037051186,0.053748336,0.08050757,0.10644907,0.11984134,0.11947638,0.11366641,0.113366716,0.12110952,0.13004749,0.13191338,0.1250317,0.11840427,0.11974013,0.12823941,0.13150628,0.12239804,0.106524445,0.098273724,0.10492316,0.11921775,0.12893711,0.12521449,0.11045063,0.092202835,0.082575694,0.08819273,0.10688996,0.12494949,0.12934124,0.11670882,0.09581106,0.07737259,0.06686396,0.0630836,0.062371347,0.06134002,0.058131054,0.05240236,0.044753056,0.037094977,0.03287716,0.038223933,0.056566954,0.08436277,0.10866397,0.11698818,0.105709195,0.08298606,0.059943434,0.04319128,0.032495603,0.024979765,0.01866584,0.01498247,0.018095965,0.03312089,0.06026564,0.09249402,0.11674327,0.12369901,0.113406934,0.09560853,0.080743425,0.073318414,0.07108151,0.07022092,0.0707308,0.075167745,0.08474625,0.095188566,0.10006392,0.09576407,0.08482438,0.07406438,0.06892354,0.07074665,0.074835,0.07558706,0.06928485,0.057591934,0.044455644,0.033393793,0.025382781,0.019705711,0.016190449,0.015828922,0.020491546,0.029936692,0.041502666,0.050726146,0.05588031,0.05768642,0.05880635,0.05973744,0.060340773,0.060013935,0.05933772,0.0588624,0.058410164,0.057364915,0.05450293,0.05035183,0.045968834,0.042855065,0.039951295,0.036180515,0.031848103,0.030125707,0.033031147,0.039936762,0.04777126,0.05447248,0.059016917,0.060442578,0.057308163,0.04934745,0.039303288,0.032278005,0.03375556,0.046051577,0.06557775,0.083250664,0.09028437,0.08488814,0.073869765,0.06496701,0.060803253,0.05688831,0.050443605,0.043057244,0.04178535,0.05002901,0.06550366,0.07954338,0.084871165,0.08015068,0.07072111,0.06411688,0.06330945,0.066237815,0.0668455,0.06266268,0.0552537,0.05052033,0.05122065,0.056245107,0.061010372,0.06347684,0.06451521,0.06671569,0.07040826,0.07345223,0.072145276,0.06420867,0.05038784,0.034358386,0.020821825,0.013406678,0.014308448,0.023402309,0.036930505,0.04795285,0.05088898,0.047358308,0.045362007,0.050509546,0.05980606,0.063257605,0.056189746,0.04185381,0.02931282,0.022454178,0.020508328,0.019612895,0.01826105,0.016166512,0.014145255,0.0124914395,0.011580702,0.011039144,0.0106799705,0.010149046,0.009757112,0.009844072,0.011135117,0.013461438,0.016070442,0.017546805,0.018131487,0.018442499,0.019280672,0.01930136,0.01787793,0.015112948,0.013085113,0.013388728,0.01744959,0.026104799,0.038878705,0.053151865,0.063811995,0.067219816,0.063604675,0.059133332,0.060916666,0.07274178,0.09137862,0.111213304,0.12729752,0.1377758,0.13979043,0.13141654,0.11347004,0.09294838,0.077557474,0.07111282,0.07181757,0.07663467,0.08453762,0.09435996,0.10352075,0.10767874,0.10724153,0.10610563,0.110259324,0.11942729,0.1292458,0.13298066,0.12931396,0.120531656,0.111676574,0.10398885,0.09720694,0.08968983,0.08395216,0.08354905,0.09181004,0.10637886,0.12090058,0.1277693,0.123625375,0.111354716,0.0985428,0.09390024,0.10046779,0.114311166,0.12507367,0.12659307,0.11840261,0.106954254,0.09556558,0.08597451,0.07674173,0.06998822,0.06808451,0.0748908,0.08887682,0.10523632,0.1158734,0.119312584,0.118293025,0.117446214,0.11462442,0.10711787,0.09625107,0.09028985,0.0956017,0.11267427,0.13499413,0.15566507,0.16688709,0.1655847,0.15067022,0.12861648,0.10634262,0.09346542,0.09531357,0.11469116,0.14627688,0.1816353,0.21081801,0.23128949,0.24329662,0.25018492,0.24838208,0.2348432,0.2065778,0.17183979,0.14234076,0.13056606,0.13661611,0.15231445,0.16473158,0.16868712,0.16413814,0.15588696,0.14529984,0.134694,0.12448067,0.11659169,0.11008364,0.1032135,0.09337735,0.07999105,0.06624076,0.057747796,0.05842067,0.065508835,0.07081116,0.06815927,0.05877994,0.050124425,0.04810028,0.054129105,0.06712335,0.08585193,0.1083448,0.12926777,0.14407496,0.15009587,0.14837825,0.13935605,0.12579115,0.11332192,0.108324476,0.11196605,0.11756024,0.11856606,0.11172708,0.09970581,0.08380088,0.06622,0.04888368,0.03585678,0.028863335,0.0271558,0.027928434,0.029225705,0.030696718,0.03275239,0.036119927,0.041081388,0.048299108,0.057323802,0.06726867,0.07667815,0.0848865,0.090544336,0.09203032,0.08952281,0.08801331,0.09301326,0.10485182,0.11574312,0.119739175,0.11856229,0.120808005,0.129488,0.13961488,0.14497633,0.14764972,0.15647312,0.17624867,0.204781,0.23453014,0.262797,0.28747818,0.30763578,0.3161616,0.30906138,0.28598154,0.2556838,0.22709644,0.20650953,0.1936901,0.18457891,0.17317313,0.15378213,0.12573972,0.09332328,0.06439656,0.04332727,0.030752221,0.023905328,0.020705724,0.019408518,0.01919291,0.019231467,0.01961658,0.020720111,0.02279667,0.025159972,0.02653657,0.026678758,0.026519172,0.027969606,0.030908018,0.03393277,0.034637745,0.033559855,0.032003276,0.031664528,0.030985443,0.028719516,0.024163632,0.019194879,0.015010732,0.012209293,0.01023464,0.008883947,0.008061334,0.0077811033,0.0077801035,0.007830846,0.009498893,0.017498072,0.039187334,0.0764296,0.120118,0.1504267,0.15383978,0.13378765,0.1113153,0.10311109,0.11053631,0.11851256,0.116062395,0.101520084,0.0830294,0.066119865,0.054960296,0.052950863,0.06260482,0.08177775,0.102912396,0.12056605,0.13337,0.1427338,0.14904912,0.15340985,0.15969847,0.16956717,0.17733389,0.17216654,0.14805564,0.112298794,0.080468684,0.06894811,0.082693875,0.114818774,0.14765099,0.16561155,0.16322994,0.14723991,0.129414,0.11717635,0.11271173,0.112490274,0.11234618,0.108449526,0.101253845,0.095517606,0.09473171,0.09743927,0.09487268,0.083235264,0.06716387,0.06190646,0.075977154,0.10528288,0.13137694,0.13921125,0.12559576,0.100675784,0.07577556,0.056936253,0.04375714,0.03550529,0.033329535,0.042133603,0.06304738,0.09211462,0.11594357,0.124573804,0.11493235,0.0972656,0.08273313,0.077573426,0.078193344,0.07752969,0.07190188,0.0628152,0.055992898,0.05566208,0.06260135,0.07200699,0.07697926,0.072989516,0.06117082,0.046987217,0.035141584,0.02728661,0.021807022,0.017336313,0.013467048,0.011000031,0.00997878,0.009631258,0.0091022,0.008566156,0.009033016,0.010878992,0.013522252,0.016661664,0.022569085,0.035601836,0.05818051,0.08650496,0.10992175,0.117663555,0.10522429,0.078507796,0.048447307,0.025964363,0.016874125,0.022870332,0.041068185,0.06512157,0.086692244,0.10114518,0.108961396,0.11387306,0.11562096,0.111666135,0.10059959,0.08838328,0.08257624,0.08655086,0.09541977,0.102346875,0.1048666,0.10522932,0.10584211,0.1040198,0.09586381,0.079368375,0.059231367,0.04104957,0.029174635,0.022454562,0.019000089,0.016705228,0.015367143,0.014173321,0.013306633,0.014024991,0.01891385,0.028451428,0.03957994,0.046896826,0.046739418,0.040065598,0.03149183,0.026718931,0.027798375,0.033466775,0.039893106,0.047451157,0.059183717,0.080088824,0.10860103,0.13920869,0.16216327,0.17221351,0.16835916,0.15750931,0.14842308,0.14867648,0.1597134,0.17632514,0.1900959,0.1910137,0.17607956,0.14667752,0.111915626,0.0778249,0.050591394,0.03151452,0.022074262,0.019892761,0.021278001,0.022340758,0.022291237,0.02310814,0.026260912,0.030432932,0.032207824,0.029509077,0.023653721,0.018125804,0.015542984,0.016288733,0.019462856,0.02459053,0.0315851,0.039954927,0.049312,0.059526775,0.07119652,0.08292976,0.09284978,0.098138206,0.09884971,0.09577518,0.09260929,0.09187003,0.09439116,0.09567242,0.09038214,0.076422594,0.05760165,0.039500948,0.025524719,0.016078508,0.010890767,0.010037526,0.013597828,0.02087001,0.030285293,0.040055357,0.048070237,0.053658992,0.05769922,0.06363276,0.07295618,0.08403265,0.09039211,0.087961465,0.07687991,0.064503945,0.058576155,0.06519609,0.08344749,0.107130386,0.12556715,0.12963463,0.11612526,0.089937806,0.06117593,0.038808856,0.02692747,0.023553891,0.02444095,0.025090782,0.023378119,0.01891674,0.013297024,0.008765777,0.007966126,0.013201386,0.024891958,0.04053478,0.054572314,0.06298187,0.06519979,0.065093346,0.065334804,0.06767256,0.07228378,0.081475504,0.09531673,0.110955894,0.12169838,0.12344435,0.11629141,0.10475301,0.09339043,0.08559551,0.08199967,0.08038478,0.076239735,0.06585149,0.049660806,0.032013815,0.01790438,0.009446571,0.0057477183,0.0048691537,0.005594639,0.0074048876,0.009822004,0.01207824,0.013858375,0.015432771,0.017532328,0.020802835,0.02700966,0.039108805,0.0595097,0.08442346,0.10390011,0.10662595,0.09120771,0.0662001,0.044909615,0.033298034,0.03040492,0.030979296,0.03319719,0.037059333,0.043939974,0.05257981,0.060805976,0.06522431,0.06409059,0.057462886,0.04822166,0.039989192,0.035377752,0.034369905,0.03542942,0.03665072,0.036907706,0.03589673,0.03499678,0.037631165,0.04670735,0.06116709,0.073845804,0.076778054,0.06695943,0.049607713,0.033103332,0.023145087,0.01968836,0.019243853,0.01875214,0.017813906,0.018113902,0.021350024,0.026969904,0.033001,0.037358675,0.040678065,0.04494245,0.052312974,0.062605895,0.073620714,0.08140441,0.08217886,0.0751406,0.064592876,0.057370733,0.05694076,0.05990563,0.059867505,0.054082584,0.04518658,0.037658136,0.032803167,0.030004514,0.028150432,0.028157534,0.030295467,0.034124043,0.037737515,0.039688136,0.039244298,0.036720533,0.03345396,0.031527128,0.032390594,0.035504013,0.037702095,0.036566716,0.032848027,0.032596085,0.043121558,0.06876577,0.10737214,0.1510206,0.18989182,0.2154234,0.22524367,0.2219425,0.21232156,0.20131868,0.1955356,0.20074727,0.22108419,0.2475348,0.2628473,0.25032452,0.21147023,0.16246541,0.12535939,0.10985139,0.11332778,0.12388747,0.13424234,0.14193362,0.1488292,0.15386946,0.15410654,0.14699453,0.13272682,0.11471039,0.0970592,0.084122755,0.078240395,0.07990795,0.087875724,0.10098478,0.118817784,0.1404053,0.1608761,0.17209321,0.1662064,0.14360084,0.11212265,0.08395233,0.06691817,0.06404718,0.07228291,0.085505165,0.09521267,0.09591191,0.0876571,0.076040514,0.06705194,0.06409159,0.067535825,0.076491185,0.08735006,0.09418252,0.089902215,0.07444535,0.055986974,0.048912074,0.060085,0.08506006,0.11016653,0.12835121,0.14153016,0.15699436,0.17307644,0.18253101,0.17806953,0.1630375,0.14624882,0.13687146,0.13766742,0.14546429,0.1545928,0.15958749,0.15951265,0.15516768,0.15036671,0.14652945,0.1459027,0.1486495,0.15546332,0.16256331,0.16303189,0.1492307,0.12037071,0.083837144,0.050485525,0.027163632,0.014861405,0.01241501,0.021795565,0.04717009,0.08977771,0.14079945,0.18396866,0.20290188,0.19284052,0.16204087,0.12806113,0.107077785,0.106021665,0.11954665,0.13394664,0.13702346,0.124130614,0.0997229,0.07292858,0.053591773,0.049600706,0.061773952,0.08389655,0.10369942,0.11499166,0.11891156,0.123973034,0.13439417,0.15030165,0.16822405,0.1843325,0.19391628,0.19206764,0.17993706,0.1633404,0.14889093,0.1365,0.12296024,0.107180856,0.092167266,0.08133036,0.07536172,0.0740425,0.07793417,0.08796951,0.10325412,0.12010932,0.13493232,0.14619471,0.15568615,0.16413821,0.16857599,0.16257316,0.14191231,0.1089404,0.072011545,0.040690433,0.021758003,0.017838227,0.028332673,0.047793698,0.066717066,0.07562214,0.07337076,0.06898465,0.07194642,0.08337664,0.09363297,0.096074976,0.09183872,0.09103843,0.100215025,0.116836034,0.12909548,0.12641223,0.11372078,0.11388899,0.15274341,0.23334295,0.3262075,0.3905901,0.40569523,0.38217518,0.34393713,0.3055927,0.27342874,0.24991162,0.23702121,0.22464783,0.1996656,0.15671442,0.10693843,0.06604284,0.043653186,0.04143708,0.06009457,0.101151526,0.16152668,0.2281173,0.2795161,0.29923415,0.28398752,0.24923748,0.21605031,0.20134437,0.20557363,0.2178167,0.22423176,0.21855122,0.20161231,0.1785896,0.15455216,0.13798262,0.13320445,0.13932246,0.14295582,0.13349469,0.10824099,0.080122545,0.06492569,0.07407555,0.107276954,0.15429671,0.19985656,0.23008393,0.24140956,0.24121962,0.24455494,0.26130566,0.29168054,0.32353535,0.33916697,0.32293138,0.27150634,0.20088549,0.13548346,0.09597311,0.08555642,0.09991177,0.13030742,0.1690322,0.20412748,0.2281235,0.23918778,0.24349165,0.24172111,0.23441522,0.21932085,0.20343526,0.19053061,0.18432103,0.17907079,0.1710843,0.1568722,0.14175008,0.13309745,0.13959445,0.15975954,0.18332864,0.19370294,0.18250054,0.15250602,0.11650901,0.08574245,0.06653736,0.05849063,0.05898276,0.06417063,0.07234236,0.08387267,0.0994412,0.11737984,0.13201356,0.14206691,0.150964,0.17093395,0.20502527,0.24968834,0.2872317,0.31098482,0.31997827,0.32593492,0.32831848,0.32253996,0.29943135,0.2643611,0.22873318,0.20755513,0.20598589,0.2229917,0.24473315,0.25396433,0.23270772,0.18342619,0.12353772,0.08060142,0.06479817,0.07060834,0.07937065,0.081197925,0.0754172,0.070134096,0.0697558,0.07422199,0.07887695,0.080433875,0.07769525,0.07248881,0.06731153,0.06499114,0.06680701,0.0720706,0.07722151,0.078814894,0.07670324,0.07669503,0.08562259,0.10559183,0.13028274,0.1505935,0.16169474,0.1655441,0.16636537,0.16539215,0.16116756,0.15393208,0.14684136,0.14451773,0.14846857,0.15850043,0.17123087,0.18293874,0.18784438,0.18371439,0.17087305,0.15412742,0.13862693,0.13045675,0.13359533,0.14637206,0.16088605,0.16731328,0.16368078,0.15582775,0.1530201,0.15790154,0.1680279,0.17832665,0.18829842,0.19786797,0.20627947,0.20870171,0.20349424,0.19586278,0.19534343,0.20678066,0.22218353,0.22890306,0.21892571,0.19894154,0.18253265,0.18026803,0.19211029,0.20903762,0.22263247,0.22718246,0.22338615,0.21225363,0.19783713,0.18301608,0.17183049,0.16499193,0.16176224,0.1593399,0.15751494,0.15854359,0.16553962,0.17719157,0.18785794,0.1916744,0.18719466,0.17719108,0.16485451,0.15346275,0.14492816,0.14134394,0.14055353,0.13961159,0.13500513,0.12766951,0.12030838,0.11664114,0.118553795,0.12622935,0.13766418,0.15038884,0.16121268,0.16909085,0.17284827,0.17535311,0.17800824,0.18388848,0.18894188,0.18977468,0.18096869,0.16531187,0.14694756,0.1324629,0.12581705,0.13173378,0.15468007,0.19271153,0.23403852,0.25920781,0.25719008,0.23143001,0.19931726,0.17511714,0.16514494,0.16481458,0.16815639,0.16907622,0.1641461,0.15209992,0.13411486,0.11463144,0.09866738,0.091334164,0.09549564,0.11037626,0.1315334,0.15183835,0.16851105,0.18346399,0.20106475,0.21973068,0.2342053,0.24135035,0.24410252,0.24563205,0.24434483,0.23728885,0.22442426,0.2095639,0.19427419,0.18025184,0.17017615,0.16840734,0.17449385,0.18305762,0.18960594,0.19481705,0.20295314,0.21455689,0.2259426,0.23132013,0.2285494,0.21929228,0.20820384,0.19917446,0.19321708,0.18953784,0.18656553,0.1845913,0.18243979,0.17962271,0.17495501,0.17063655,0.16725111,0.16465949,0.15993325,0.15419929,0.1515904,0.15750855,0.1749057,0.202653,0.2408974,0.28330538,0.32463303,0.35216776,0.36408767,0.3568916,0.33747277,0.30686703,0.27308816,0.23862205,0.20833504,0.18186998,0.16251065,0.15320486,0.15742575,0.17260641,0.1914612,0.20460284,0.20738083,0.2035436,0.20118695,0.20720369,0.22021087,0.23687303,0.25366175,0.27120447,0.28587118,0.291695,0.28430247,0.26897684,0.25727728,0.25822592,0.27387515,0.30236754,0.34029523,0.38065818,0.40954924,0.41399956,0.38989487,0.3462545,0.29730627,0.25512198,0.22648789,0.21272378,0.21056704,0.21258219,0.21247484,0.20943315,0.20779963,0.2137952,0.23017912,0.25920296,0.29656395,0.33556914,0.36281765,0.37321103,0.3677874,0.3570683,0.34827265,0.34457588,0.34281445,0.33776948,0.3260955,0.3079506,0.28904805,0.27535537,0.27402583,0.28348455,0.2996647,0.31140968,0.31892154,0.3230416,0.32887673,0.32966614,0.32242557,0.31112543,0.30694222,0.31414577,0.32296872,0.32395947,0.31526983,0.3039932,0.2941806,0.28536138,0.2797289,0.27827442,0.2813261,0.28265807,0.2838553,0.28974974,0.30359843,0.31787112,0.32212505,0.31539005,0.30392373,0.29534903,0.289027,0.2834052,0.27877772,0.27922988,0.28705764,0.29850912,0.30593026,0.30042368,0.2805653,0.25263566,0.22937657,0.22114865,0.2273765,0.23882908,0.24214257,0.23622207,0.22636358,0.22230445,0.22495985,0.23165332,0.23827459,0.24279214,0.2493885,0.25928655,0.27285445,0.27874014,0.27604318,0.2640362,0.24907432,0.22282694,0.18762095,0.15623224,0.15315364,0.18398546,0.23296352,0.27897367,0.31023633,0.3243902,0.31517386,0.28146023,0.23307155,0.19378102,0.1813236,0.19879031,0.23329127,0.2705872,0.2982298,0.31072,0.30518535,0.28888917,0.2755786,0.2823393,0.31388482,0.35712433,0.38784447,0.38849518,0.3653414,0.34188583,0.34148464,0.36233473,0.38248083,0.3785001,0.3500612,0.31502578,0.2896876,0.27336538,0.25509325,0.2311641,0.2080249,0.19651651,0.1977718,0.20757861,0.21449448,0.21080439,0.18873177,0.15070184,0.10453471,0.06487304,0.043069165,0.04351477,0.061039656,0.084168874,0.10441959,0.12254093,0.14777243,0.18530978,0.22542202,0.24868901,0.23974735,0.20277894,0.15378487,0.11214479,0.0853836,0.07489032,0.075456165,0.08482272,0.098165624,0.11272761,0.1240575,0.1324374,0.1390239,0.14522879,0.14974207,0.15212691,0.1566507,0.16892661,0.18872912,0.2063024,0.21006061,0.19996066,0.18693614,0.184183,0.19036125,0.19510306,0.1871295,0.16874385,0.1491599,0.13676399,0.13027273,0.12447622,0.117367655,0.114541434,0.12113273,0.13643573,0.14882874,0.14842136,0.13107812,0.10670853,0.086042576,0.076703876,0.07645214,0.08114558,0.087716125,0.094310574,0.09834117,0.0959735,0.087109506,0.0745713,0.06349399,0.056508314,0.055296864,0.059787344,0.06931766,0.08158761,0.09374248,0.105522476,0.11722053,0.131569,0.14549828,0.15598105,0.15562314,0.1455394,0.12847708,0.112516254,0.09863629,0.08614722,0.0715264,0.05590856,0.042298365,0.03532189,0.038167786,0.05192208,0.07365715,0.09676119,0.113710724,0.12225329,0.12645644,0.13447613,0.15067904,0.1735415,0.19607186,0.20968579,0.2082967,0.18932831,0.15711978,0.119318224,0.086309634,0.0642428,0.05481577,0.054215897,0.057618335,0.06108452,0.0623782,0.060232032,0.05441672,0.047130067,0.04208194,0.04197542,0.045720935,0.04923129,0.049033646,0.044599306,0.038342074,0.032525342,0.028184198,0.02470231,0.021604888,0.018860385,0.01700224,0.016122686,0.015743403,0.015195548,0.014475782,0.013981711,0.013884497,0.013526632,0.012404812,0.010766956,0.00970002,0.00978434,0.010677938,0.01141435,0.01158861,0.0115440255,0.01192833,0.0128155695,0.013792804,0.014511875,0.015233067,0.016417747,0.017939983,0.019105874,0.01928067,0.018991655,0.019262487,0.021005625,0.023738861,0.026398083,0.02773782,0.027696177,0.027097143,0.027484426,0.029377436,0.03182349,0.03252257,0.03054816,0.0276973,0.028289875,0.035044864,0.046371233,0.056137886,0.05854128,0.05195466,0.04039442,0.030580154,0.029113552,0.039587438,0.06033482,0.083262146,0.09722689,0.09538835,0.08085847,0.06473458,0.05773048,0.062264908,0.07240952,0.08095821,0.08763161,0.09838933,0.11700734,0.13738805,0.1468035,0.13677269,0.10962019,0.07596509,0.046277095,0.026275985,0.016105175,0.01279362,0.012688466,0.013568487,0.015686253,0.020165266,0.027382815,0.03524602,0.041047473,0.04263706,0.040445615,0.035860125,0.03080933,0.026359687,0.024328128,0.02721245,0.037255038,0.05321738,0.06971171,0.080443464,0.08328118,0.081712715,0.0807903,0.08248215,0.08442973,0.083963014,0.07988174,0.07345861,0.06527824,0.056545738,0.047952373,0.04117523,0.0366883,0.03455204,0.03451504,0.036937714,0.04263626,0.050653666,0.058841556,0.06430397,0.06786277,0.0723157,0.08023226,0.08972607,0.097288966,0.10208439,0.10772058,0.118007064,0.13125375,0.13964577,0.13533075,0.11714385,0.09311944,0.07396382,0.06662115,0.06901941,0.07436002,0.075139835,0.06941452,0.059703033,0.05203681,0.050228734,0.055057216,0.06246962,0.06850097,0.0702501,0.069181405,0.06691805,0.06452101,0.0602584,0.0532311,0.044719234,0.038480178,0.037510484,0.04152636,0.046908397,0.049486626,0.04845454,0.047738712,0.054578442,0.07381814,0.10452145,0.13861175,0.16614683,0.17964953,0.17772157,0.16395919,0.14391366,0.122527294,0.102694094,0.087857604,0.08121347,0.08474041,0.094301246,0.101855405,0.09963528,0.08729714,0.072239704,0.06367472,0.0654482,0.07285511,0.07948422,0.08200851,0.08212328,0.08077669,0.0768586,0.068784386,0.057587225,0.04696304,0.04107486,0.043058652,0.053207148,0.068191975,0.08197027,0.08893746,0.08727846,0.07906217,0.06796621,0.056313563,0.04460259,0.03277481,0.021572351,0.012385443,0.006141409,0.0026759515,0.0010755156,0.0004156603,0.0001519541,6.729219E-05]