[0.0684696,0.068506114,0.06827267,0.06740455,0.06522972,0.061781835,0.058112275,0.05718435,0.061942596,0.0722014,0.08293608,0.08663345,0.07947787,0.06447015,0.050840065,0.048124466,0.0617225,0.088178195,0.11680738,0.1335824,0.13199343,0.11691267,0.10319694,0.10323989,0.11828964,0.13797499,0.14946736,0.14854167,0.1403871,0.13373487,0.13150014,0.12954076,0.12145864,0.104833364,0.08298082,0.06139123,0.04392354,0.032456044,0.028477915,0.03390336,0.047514554,0.06330428,0.072031744,0.068852395,0.0570122,0.046678375,0.04568707,0.0544493,0.06473603,0.067839615,0.059633564,0.043968394,0.027412733,0.015476178,0.009185673,0.0074025267,0.00880393,0.013854459,0.023276875,0.036915924,0.051796462,0.06444067,0.0717758,0.07422259,0.0732375,0.071812116,0.07240688,0.077586584,0.08696271,0.09603598,0.09914721,0.09370369,0.08331035,0.07265812,0.065745525,0.06363443,0.06779221,0.076935776,0.08696345,0.09136781,0.08834767,0.082161546,0.079170905,0.07990613,0.07890231,0.071140826,0.05828884,0.046327237,0.03951868,0.036704063,0.03496109,0.032287136,0.029487645,0.027808247,0.029288748,0.034393054,0.04153194,0.04590096,0.04374932,0.03494956,0.023787996,0.014660983,0.009533733,0.0076776594,0.0083478615,0.01227957,0.021686995,0.037820235,0.05990258,0.08402618,0.10554511,0.119151324,0.122308545,0.11495074,0.10186869,0.08819308,0.07939077,0.078650154,0.09009395,0.11363415,0.14298941,0.16470371,0.16906549,0.15625475,0.13510658,0.11279561,0.091093875,0.06988519,0.052483935,0.043355074,0.043644276,0.048703153,0.053064194,0.05349792,0.050913114,0.046907272,0.042383876,0.03690761,0.030070921,0.022655847,0.016004069,0.011419542,0.009217992,0.009683337,0.013497643,0.021008926,0.0306279,0.039308697,0.046358034,0.055797737,0.07278286,0.09509195,0.11165699,0.11047563,0.09198341,0.0687634,0.0557203,0.056733754,0.0656077,0.07433644,0.07903839,0.07950704,0.074525334,0.06562703,0.05645377,0.05263543,0.05367364,0.054520126,0.049615752,0.038923185,0.026775008,0.017907703,0.016083328,0.02455861,0.046829402,0.08173349,0.121010266,0.14984953,0.15737307,0.14220424,0.11423416,0.08508277,0.063150994,0.05046317,0.04597701,0.046405453,0.04759902,0.045755904,0.039548937,0.030704023,0.022755357,0.019081242,0.021988893,0.03044212,0.041720454,0.051923662,0.062242884,0.073016375,0.08343921,0.08552715,0.07744161,0.065094516,0.06399905,0.083040364,0.118507385,0.15399994,0.17437927,0.17651771,0.17213023,0.17426838,0.18585527,0.1953627,0.19226162,0.17634846,0.15834953,0.14617167,0.13845088,0.13058011,0.12391764,0.12738842,0.14707987,0.17903806,0.21227957,0.23671447,0.24973975,0.25219184,0.24723852,0.23568372,0.21948737,0.20006694,0.18165849,0.1672891,0.15837185,0.15192546,0.14514554,0.13640633,0.12600592,0.11275483,0.09627524,0.08025385,0.0748973,0.090066135,0.12662555,0.17045619,0.20105164,0.20326294,0.1785428,0.14015378,0.10539267,0.08607001,0.0859738,0.100384794,0.116623975,0.121924095,0.10976053,0.0868584,0.06584142,0.05670078,0.058203924,0.061055165,0.057309385,0.047139034,0.038504284,0.03711112,0.042009603,0.04543755,0.04276685,0.03481307,0.028050758,0.026484637,0.030529222,0.03662162,0.04227746,0.04695225,0.051523652,0.055325236,0.05544111,0.049472403,0.038586445,0.028604172,0.026192585,0.034701474,0.05103889,0.06794807,0.07809789,0.078641646,0.070907824,0.058532786,0.045221776,0.03412279,0.027486391,0.025898673,0.02921963,0.03651488,0.04587029,0.05391699,0.058267903,0.060495973,0.06492195,0.07394039,0.08445538,0.09066883,0.08956632,0.083025835,0.075140424,0.0679931,0.061259303,0.05389301,0.046160713,0.039456975,0.036287874,0.039114136,0.04980442,0.06619079,0.08405155,0.09717133,0.10314757,0.10099429,0.094066955,0.086978555,0.085841484,0.09283063,0.104338884,0.114252746,0.11975817,0.124924906,0.13486592,0.1489432,0.15838484,0.15435015,0.13793118,0.121278115,0.11796591,0.13133313,0.15406156,0.17689551,0.19547725,0.21004833,0.21834777,0.217815,0.2068569,0.19149183,0.17849213,0.17343749,0.17538004,0.18301713,0.19552737,0.21361698,0.23128623,0.23767322,0.22171415,0.18511562,0.13978761,0.10148146,0.07853958,0.07248682,0.08032174,0.0967055,0.11396734,0.12302182,0.11925829,0.10517626,0.092143886,0.09123092,0.106612064,0.1289763,0.14508109,0.14680196,0.13907398,0.13150792,0.1294198,0.12811328,0.12017351,0.1039109,0.08753321,0.08104182,0.088400245,0.10226966,0.11327504,0.115474574,0.11250365,0.10995757,0.11212864,0.11716294,0.12013391,0.11671256,0.10703364,0.096782945,0.092645794,0.09781297,0.10952584,0.12230543,0.13142341,0.13452423,0.13123669,0.12478188,0.12346977,0.13845856,0.1743237,0.22110605,0.25752637,0.26711246,0.25199953,0.23142946,0.22533958,0.24000709,0.26555055,0.28461394,0.28371605,0.25980613,0.22081439,0.17846568,0.1409304,0.10954428,0.08225296,0.059489608,0.045258746,0.04565588,0.061519016,0.088786684,0.11778071,0.14350297,0.16297656,0.17656054,0.18006046,0.17187501,0.155713,0.14122194,0.13516505,0.13577068,0.13681254,0.13279073,0.12246565,0.105789684,0.08508599,0.065556474,0.05600199,0.06156146,0.078690074,0.094683655,0.09894278,0.09160558,0.08417362,0.08729252,0.102741875,0.12261178,0.13869195,0.14602135,0.14524102,0.13907693,0.13269587,0.13011996,0.1327733,0.13856673,0.14511652,0.15175273,0.15811896,0.16117679,0.1554203,0.13713919,0.1092105,0.08028536,0.060089204,0.05185233,0.052569505,0.056971807,0.06635051,0.085432924,0.11572,0.14681281,0.16329537,0.1554748,0.12789336,0.095238976,0.072154246,0.065403275,0.07082454,0.0794973,0.08363239,0.08250711,0.08075315,0.085777946,0.1030286,0.13038875,0.15582521,0.16265269,0.14326194,0.10652846,0.07204412,0.0557881,0.060811084,0.078968525,0.09921541,0.114035524,0.12230879,0.12425805,0.119946755,0.107101165,0.087780476,0.06860513,0.058921993,0.063192,0.0772272,0.09265561,0.101345725,0.10198873,0.094696276,0.08216074,0.06484312,0.047114294,0.034545157,0.03541842,0.054984313,0.09115545,0.13303745,0.16390657,0.17451437,0.16657585,0.15267323,0.14248194,0.13894705,0.13790686,0.13459465,0.1278008,0.12030086,0.11826178,0.123806186,0.13344395,0.1376106,0.13138895,0.11506646,0.094833285,0.07379532,0.05629548,0.04592665,0.048656598,0.06286309,0.080738455,0.08981883,0.08552592,0.072550096,0.06204322,0.062213212,0.0756138,0.10061834,0.1322438,0.16244163,0.18101251,0.18273002,0.1706686,0.15364026,0.13716048,0.120389305,0.10029722,0.079600975,0.06558692,0.064432055,0.07361236,0.08551387,0.0927802,0.09669522,0.10924929,0.14851995,0.22571473,0.32631645,0.41350123,0.44524106,0.41050842,0.3311303,0.25107786,0.20018987,0.18515201,0.18904604,0.19321303,0.18850213,0.17930055,0.17353886,0.17545222,0.18223773,0.1887303,0.18964078,0.18367964,0.17177509,0.15572095,0.13526677,0.109342195,0.08055485,0.055444,0.04302785,0.04787168,0.06841635,0.095472656,0.11709585,0.1246196,0.11866373,0.10975238,0.111909576,0.1375576,0.19213517,0.2714636,0.3549597,0.41019952,0.40899292,0.35061333,0.2629517,0.1822298,0.12661178,0.09293041,0.07068592,0.05634859,0.05256297,0.05936904,0.070606135,0.07834443,0.08060653,0.08180472,0.088107355,0.10116754,0.11751763,0.13109587,0.13680905,0.13269775,0.120772004,0.10589614,0.093549855,0.08741147,0.089603744,0.09986163,0.11526761,0.1286312,0.13203304,0.12113451,0.0992878,0.07557274,0.060736213,0.061668698,0.07822352,0.10190501,0.11993233,0.12191597,0.106695555,0.08278286,0.06331993,0.057996254,0.06782531,0.085872166,0.104879566,0.12246766,0.14338093,0.16641133,0.18524706,0.1863066,0.1708343,0.14806654,0.13501143,0.13477568,0.14486235,0.15787554,0.17153299,0.18161826,0.18414997,0.17563254,0.15706272,0.13140675,0.10267022,0.0773504,0.06363284,0.06775349,0.087425895,0.11315447,0.13371468,0.14288647,0.14028907,0.12759362,0.10768414,0.08481977,0.067888945,0.064051144,0.07526925,0.09271706,0.105306804,0.10416607,0.09041115,0.07005655,0.051050108,0.037258677,0.030396046,0.03133988,0.041087892,0.058471054,0.079845704,0.10038945,0.116051674,0.123223305,0.12126099,0.114844866,0.113554,0.12434103,0.14399453,0.16086783,0.16245277,0.14585769,0.11810798,0.09369388,0.08228222,0.08384416,0.086919285,0.08223317,0.07023325,0.061026927,0.06219536,0.07056055,0.07638484,0.07129795,0.056757595,0.039497524,0.027766049,0.024085892,0.026891388,0.031352077,0.03431728,0.035480607,0.03841728,0.046204343,0.057669174,0.06645797,0.06687983,0.060041502,0.05211963,0.04802936,0.04559876,0.04054214,0.031305246,0.022612305,0.019909278,0.02605263,0.0374365,0.047474023,0.049353775,0.043029334,0.03395274,0.030433932,0.035474036,0.046496317,0.05765002,0.064966515,0.067337446,0.06471271,0.057778645,0.047599684,0.037093047,0.028452685,0.022618847,0.018429747,0.015203222,0.013310727,0.014122748,0.01793014,0.02339889,0.027680518,0.028705647,0.02612207,0.021870228,0.01794496,0.015696185,0.015190157,0.017102085,0.022123732,0.030645935,0.04075739,0.049434647,0.05383491,0.05293415,0.047641754,0.03987007,0.032755893,0.029229363,0.031055877,0.036975566,0.044853766,0.05502971,0.072168514,0.100031644,0.13491489,0.16314952,0.17035656,0.15200624,0.11899531,0.089817606,0.079151444,0.08943391,0.11228242,0.13483836,0.14708902,0.1441992,0.12708512,0.10000544,0.07038914,0.045948148,0.03292161,0.031639744,0.03702633,0.040724915,0.038213097,0.030147692,0.021697111,0.016436066,0.015465006,0.016883936,0.01883594,0.01959907,0.018790625,0.016586294,0.013965376,0.011766062,0.010701104,0.010869771,0.0118731065,0.012939323,0.013658572,0.01426851,0.015593737,0.018012071,0.021103278,0.023606388,0.024604216,0.023972893,0.022403777,0.020739106,0.019696787,0.019866735,0.021393366,0.023689663,0.025543807,0.02597034,0.024916837,0.023737257,0.02493157,0.03172983,0.04508527,0.061842334,0.07417045,0.07565164,0.06600236,0.052506704,0.044067428,0.045051303,0.05423595,0.067073055,0.0796538,0.087721586,0.08768695,0.07755643,0.060396135,0.04286325,0.03126581,0.02767468,0.030746492,0.038613915,0.049507912,0.060168546,0.0653595,0.0626258,0.055770796,0.053538937,0.061544444,0.07805499,0.09581231,0.10882879,0.11494101,0.11580018,0.1134185,0.110129654,0.105239384,0.0972991,0.083616816,0.066359386,0.049700063,0.038989183,0.034782737,0.035565358,0.03963134,0.047610447,0.05963218,0.072262295,0.079471625,0.07638509,0.06509532,0.0531667,0.050656166,0.06087774,0.08086577,0.1014299,0.11704538,0.12520218,0.1280744,0.12641624,0.12092447,0.111710966,0.0997138,0.08599932,0.070971996,0.055538088,0.04090577,0.029179014,0.021600714,0.018844413,0.020937657,0.027566457,0.03685594,0.04526767,0.049657512,0.050570905,0.05149423,0.055287708,0.059568424,0.05945529,0.05162631,0.03888489,0.027315909,0.023506872,0.030751819,0.048027154,0.06904194,0.08473965,0.088742204,0.08181143,0.07198614,0.06943787,0.08249876,0.11176749,0.14965345,0.17968442,0.18822183,0.17096996,0.138952,0.108445525,0.09178779,0.08871273,0.08918222,0.082365595,0.06550396,0.0450644,0.030183004,0.024896568,0.02820974,0.037388075,0.053527635,0.07635543,0.10107281,0.115191646,0.11002324,0.08668301,0.057847787,0.035431426,0.024196438,0.020707304,0.020547027,0.021929877,0.026023401,0.03427865,0.0454427,0.055576246,0.059221152,0.054881945,0.045444693,0.037488237,0.035023395,0.038107727,0.04319446,0.047583703,0.052626237,0.06272005,0.08106703,0.10357231,0.12086955,0.123785675,0.111786775,0.092162095,0.0765667,0.0732081,0.08417854,0.10362402,0.12142334,0.12825333,0.1210003,0.104840524,0.08819491,0.07820367,0.074003644,0.07139316,0.06437161,0.053361427,0.04094673,0.03188624,0.026786683,0.025088215,0.026158819,0.032612927,0.0478162,0.07101216,0.09527419,0.110963695,0.11420836,0.10837063,0.099705525,0.09013516,0.078118056,0.06291312,0.047397155,0.035173368,0.027816927,0.024356274,0.023480842,0.024716616,0.029029304,0.037802994,0.05051713,0.06315764,0.06951016,0.0661274,0.05606794,0.04713228,0.048013866,0.061685473,0.08695679,0.114971936,0.13691618,0.14302115,0.13436152,0.1179248,0.105473876,0.100399494,0.0979908,0.09038483,0.07458892,0.05529799,0.03848791,0.028343335,0.023931198,0.02303453,0.023923898,0.02757422,0.03681064,0.051565617,0.06748145,0.07580118,0.07267948,0.06105588,0.05057143,0.04822922,0.055306986,0.06698734,0.076824956,0.08064808,0.07821292,0.0723789,0.06572342,0.059304684,0.053799655,0.051477354,0.054410357,0.061133336,0.06606302,0.06431212,0.056619804,0.04937769,0.049034614,0.05765207,0.0719299,0.08713698,0.09958287,0.10878586,0.1158733,0.12219135,0.12680002,0.1271564,0.12107106,0.10933431,0.09482283,0.08031116,0.0663255,0.05270848,0.040185027,0.031341176,0.027927408,0.029279128,0.0318229,0.032314435,0.029893681,0.026908988,0.026521387,0.030758902,0.039018497,0.0484663,0.05559522,0.058665197,0.059012886,0.05897981,0.058887865,0.057182368,0.05420595,0.0546626,0.062150706,0.07395138,0.08045099,0.07591601,0.063576736,0.05391933,0.05278949,0.05756532,0.060011473,0.0555011,0.045649484,0.03572991,0.029138848,0.025597567,0.023092471,0.020289207,0.017586112,0.016196057,0.018060086,0.025039932,0.037537307,0.05205993,0.063399315,0.069398694,0.07642821,0.093458116,0.12328088,0.15508787,0.17395155,0.17252976,0.15856798,0.1455376,0.14182116,0.14292352,0.13883942,0.12183589,0.09651204,0.07386715,0.06513847,0.06974702,0.07879635,0.08034589,0.070306845,0.05240145,0.03522312,0.025140062,0.025316767,0.034581345,0.05038936,0.06663648,0.07900872,0.08494795,0.08920986,0.09631022,0.10907329,0.12360131,0.13588153,0.14244844,0.14388783,0.14127414,0.13723953,0.13152897,0.122576706,0.107888676,0.08903402,0.07008633,0.05444929,0.042783156,0.03499187,0.033341527,0.040784374,0.057817873,0.080325164,0.10293045,0.12360839,0.14424701,0.16523087,0.18080656,0.18237148,0.16699748,0.14079054,0.113722496,0.09247749,0.079428904,0.075597115,0.08091658,0.09330622,0.10813845,0.12253517,0.13408753,0.14038913,0.1372395,0.12419569,0.10571924,0.08975395,0.08282996,0.087130226,0.09852039,0.10737693,0.10491067,0.09188959,0.07810032,0.0736587,0.077378966,0.08014101,0.0728065,0.056301877,0.037753824,0.025338544,0.021025041,0.022198508,0.024061395,0.024387894,0.02405703,0.025884375,0.03185523,0.04108038,0.05084915,0.05741938,0.058976512,0.055146877,0.048130136,0.04060723,0.03558423,0.03448324,0.037117194,0.04119807,0.043833237,0.043248296,0.040808275,0.04062508,0.046935793,0.06108727,0.07935936,0.094613455,0.099385746,0.09122276,0.07416235,0.055952236,0.042892873,0.036925584,0.038303822,0.046473563,0.060900193,0.07873279,0.096906625,0.11236214,0.12192782,0.121696614,0.10914437,0.087968946,0.067091145,0.057077724,0.061573308,0.07685481,0.09322402,0.10306936,0.1024355,0.09239184,0.07548798,0.055924505,0.03805748,0.025576873,0.019462155,0.01808173,0.018905468,0.020092087,0.020900136,0.021096103,0.020749593,0.020145765,0.0195577,0.018974723,0.018094128,0.01696288,0.016091183,0.016234696,0.017363353,0.018597469,0.018671349,0.017248662,0.015450046,0.015687326,0.02061936,0.031083696,0.044758204,0.055957645,0.0594371,0.053528998,0.04201913,0.030786233,0.024731973,0.024900863,0.029204434,0.03351171,0.03459077,0.031556997,0.026361225,0.021690212,0.019286245,0.019376637,0.021039648,0.023129987,0.024430258,0.024820441,0.024589434,0.024391107,0.024111584,0.023802035,0.02374891,0.02415555,0.02452746,0.023609623,0.021064015,0.017429544,0.014279754,0.012585121,0.012834631,0.014730893,0.017525507,0.0201822,0.021573141,0.021337152,0.019656437,0.017449625,0.015388236,0.014086564,0.013695971,0.0144456625,0.016170101,0.01854861,0.020747162,0.022252241,0.02286054,0.022852236,0.022268688,0.020842269,0.018687574,0.016860165,0.017665004,0.022907197,0.032979235,0.046001777,0.059553772,0.07190937,0.08256814,0.09136742,0.09713903,0.09905759,0.09670446,0.091398746,0.08349209,0.07434856,0.06615829,0.06377498,0.06912296,0.07957764,0.08807067,0.09079671,0.08843041,0.08435688,0.078564055,0.06983716,0.059256244,0.053204168,0.057549905,0.07244301,0.09104418,0.10646912,0.11635295,0.12235218,0.124215834,0.11896788,0.10434946,0.08404631,0.065609485,0.05634098,0.05723815,0.06440645,0.07026758,0.07020894,0.06285341,0.051900905,0.041451573,0.035461444,0.034639668,0.038172394,0.044131454,0.052572936,0.064043835,0.07801715,0.09031876,0.09563267,0.091112114,0.07904089,0.066081755,0.05840673,0.058206458,0.061551232,0.06316753,0.059849937,0.053300295,0.046718776,0.04295216,0.042129997,0.04334121,0.045614574,0.05027951,0.058972433,0.07105135,0.081264555,0.08371448,0.0766637,0.06444202,0.05409399,0.051056515,0.057605267,0.072654344,0.09251278,0.1115489,0.123565294,0.12448335,0.11455854,0.09977979,0.08878156,0.086514205,0.091011114,0.094340205,0.091029644,0.079982944,0.06604559,0.054017078,0.048388716,0.050506387,0.058647234,0.06749191,0.070708744,0.06588014,0.05566148,0.04561319,0.03867949,0.034531284,0.03185458,0.03130342,0.033698235,0.038007688,0.04075606,0.04015912,0.03722231,0.03479083,0.03370737,0.032442797,0.029379865,0.024596691,0.020053959,0.017145665,0.016484031,0.017754527,0.020908453,0.026526302,0.03616545,0.052853823,0.07725509,0.106292345,0.13054715,0.14347251,0.14315887,0.13651174,0.12833889,0.12111389,0.11178494,0.0991793,0.08357904,0.06859708,0.058941822,0.059687417,0.07238237,0.09392042,0.11693188,0.13603023,0.14774193,0.1511324,0.14343388,0.12498347,0.10042294,0.07977537,0.07101,0.07678288,0.093183644,0.11323044,0.1281643,0.1311551,0.120260894,0.10080698,0.080940075,0.06689706,0.059852183,0.05877835,0.061523646,0.06649668,0.07235833,0.08108542,0.095306635,0.11513034,0.13292946,0.13936381,0.13027273,0.112302415,0.09674687,0.090485424,0.091517985,0.09158062,0.08525377,0.07255303,0.059191536,0.049746405,0.04722746,0.051266227,0.061341,0.07419974,0.08700047,0.09654779,0.10417274,0.11184832,0.12161363,0.1313879,0.13808309,0.1393007,0.13483076,0.12593941,0.11398967,0.10123682,0.08961177,0.080343686,0.07282836,0.06633758,0.061937824,0.061387718,0.064570986,0.06699523,0.06368215,0.053517893,0.041592766,0.034995764,0.03664735,0.043335322,0.048042756,0.046785455,0.04009403,0.03211946,0.025707297,0.022321178,0.02278019,0.02933602,0.042540874,0.060245633,0.07557129,0.083191685,0.08044862,0.07157094,0.06227292,0.058854323,0.06365914,0.075759105,0.092255734,0.109410256,0.12556909,0.13766615,0.14441557,0.14309932,0.13459481,0.11956518,0.10098008,0.08142268,0.064406194,0.052503098,0.046767395,0.04635586,0.049155146,0.052643355,0.055572107,0.058325063,0.06295422,0.07048694,0.07946769,0.085708976,0.08463473,0.07513479,0.060669903,0.048386034,0.043553457,0.04701752,0.05423066,0.060259987,0.06271548,0.06360776,0.06539453,0.06884813,0.071830265,0.07227385,0.06930385,0.06379204,0.057563167,0.05279545,0.05132744,0.052813917,0.056013808,0.059677016,0.06559273,0.07520884,0.087900914,0.09768734,0.09851396,0.08825501,0.07267437,0.060980972,0.05944103,0.06746632,0.07829114,0.08627263,0.08801108,0.08516497,0.07942963,0.07538307,0.07749767,0.08932743,0.109172404,0.13015227,0.14538771,0.15042163,0.14593913,0.13450812,0.12167453,0.11362823,0.11591271,0.1292839,0.14894976,0.16622452,0.17286013,0.16408221,0.14086469,0.10945151,0.08043028,0.06461818,0.069771565,0.09503436,0.13141948,0.16398437,0.18234025,0.18434386,0.17619991,0.16439249,0.15323812,0.14733626,0.15234996,0.17117052,0.19659857,0.21482801,0.21446908,0.1956592,0.16798311,0.14296585,0.12616803,0.11693418,0.11014334,0.103162855,0.096798755,0.09716166,0.107891105,0.12708174,0.145487,0.15498535,0.15518288,0.15302418,0.15565397,0.16240494,0.16742784,0.16557007,0.15962306,0.15708528,0.16290069,0.17333037,0.17860414,0.17207561,0.15449476,0.13216315,0.109687805,0.089313686,0.073774904,0.06932706,0.08335913,0.11699984,0.16172452,0.20081885,0.22023767,0.21674216,0.19899912,0.17941362,0.16471173,0.15483752,0.14608413,0.136936,0.12811145,0.121608496,0.1185475,0.11871865,0.12083631,0.1222876,0.12070792,0.115038805,0.10646989,0.096321434,0.08463931,0.07181075,0.06044047,0.055142093,0.05718441,0.06317991,0.06681377,0.06561681,0.061922986,0.06229641,0.072235174,0.09484676,0.12753059,0.16339189,0.19228022,0.20583868,0.20037264,0.178618,0.14927971,0.12308413,0.10843733,0.10622438,0.11170978,0.117810525,0.12078184,0.12041081,0.119792365,0.12171329,0.12741116,0.13390182,0.13584727,0.12809293,0.11181574,0.09644002,0.094189085,0.11031294,0.13511683,0.15195334,0.14806856,0.12660855,0.09977742,0.08047971,0.071572416,0.0691075,0.06683976,0.06202006,0.05491591,0.047165945,0.04046422,0.035902455,0.03399321,0.034044772,0.035849765,0.040771917,0.052948046,0.07421115,0.101525374,0.12483597,0.13656092,0.13579486,0.13048166,0.12669222,0.12436987,0.11795277,0.10501749,0.08902004,0.075722255,0.06782893,0.06345445,0.059948623,0.056209445,0.053680435,0.054146145,0.058992118,0.06848819,0.081256814,0.09421042,0.103542,0.10811614,0.10975519,0.11198596,0.115701556,0.12001165,0.12226165,0.12153602,0.1172925,0.1114072,0.106506586,0.10656225,0.11435748,0.12926763,0.14631449,0.15748312,0.1578381,0.14696336,0.1290129,0.10762086,0.08624015,0.06718453,0.052935768,0.044383615,0.042463776,0.047696393,0.060146365,0.077492684,0.09627543,0.11474254,0.13336869,0.15261225,0.16773392,0.17131902,0.15922579,0.13847843,0.1224447,0.12022027,0.12759759,0.13172297,0.122726865,0.10141324,0.07736803,0.06092974,0.05613197,0.059270527,0.06197691,0.05900308,0.051838905,0.048811693,0.058349382,0.08200788,0.111713134,0.1324596,0.13349058,0.113970846,0.08462011,0.057491113,0.04073378,0.036367316,0.044534165,0.06488104,0.09451854,0.12642421,0.14939068,0.15598063,0.14711368,0.13533331,0.13290694,0.14464207,0.16193654,0.17431676,0.17546119,0.16700691,0.1519996,0.13176133,0.10739124,0.08161395,0.05989271,0.046258602,0.0419848,0.04512945,0.051991593,0.059498567,0.065500446,0.07205153,0.08224169,0.09921228,0.1190581,0.13563019,0.14317352,0.1472031,0.15717025,0.18529016,0.22989327,0.2845435,0.32962438,0.35481176,0.35045257,0.32742563,0.29490244,0.26554894,0.23685656,0.20685174,0.17481183,0.14739297,0.13032924,0.12376285,0.12544873,0.13270816,0.14689451,0.16897124,0.20187777,0.24264401,0.2823759,0.3037738,0.2986128,0.27358446,0.2506645,0.24448544,0.2572491,0.27871796,0.3039995,0.32813987,0.3457004,0.3440679,0.3211243,0.28934944,0.2692426,0.27023563,0.28645328,0.3117077,0.3485233,0.40080416,0.4585136,0.49598348,0.49218264,0.4456828,0.37839612,0.3172302,0.27912757,0.2639633,0.261917,0.26085734,0.2527086,0.23185654,0.20043373,0.16469836,0.13630173,0.12026012,0.11574193,0.114331864,0.110978395,0.105324276,0.10367455,0.11034286,0.12520969,0.14084695,0.14903927,0.14378092,0.12594584,0.10111532,0.076949835,0.05836458,0.046288934,0.039677348,0.038487244,0.044589717,0.058327477,0.07607353,0.09004259,0.09418189,0.0879061,0.077184826,0.06948882,0.07008374,0.07997852,0.0959362,0.11148694,0.11998727,0.120116465,0.11785144,0.12213513,0.1362972,0.15454113,0.16557415,0.16130897,0.14131719,0.1127221,0.08443809,0.062953226,0.049518242,0.042261977,0.038219016,0.036034707,0.03504905,0.035183553,0.03560104,0.03608908,0.036665272,0.03800382,0.039578874,0.04021484,0.038066532,0.03301741,0.026251683,0.02029411,0.016674126,0.01638802,0.019851493,0.028351242,0.041639205,0.057040315,0.06808051,0.06985823,0.06149809,0.048391383,0.036541384,0.029865285,0.028020926,0.029505193,0.03321233,0.03934225,0.04766713,0.056088924,0.060704187,0.05844756,0.049870837,0.038933545,0.030328779,0.026110573,0.025803236,0.027223384,0.028793467,0.029375322,0.029520413,0.030898944,0.036590476,0.047191035,0.05961882,0.06715751,0.066440746,0.059816986,0.053945217,0.052053984,0.051979214,0.049140755,0.042318422,0.034159053,0.028226852,0.02557604,0.025110407,0.025261367,0.02577354,0.02766761,0.03176813,0.038068026,0.04431331,0.048428312,0.0480767,0.043955494,0.037583582,0.03270141,0.03149996,0.034818232,0.040206846,0.044220056,0.044015482,0.039759528,0.03418295,0.030964212,0.031492013,0.034343775,0.035815973,0.03406561,0.029751673,0.026226832,0.02505511,0.02571231,0.025704846,0.024561092,0.023740739,0.025545506,0.030366212,0.036760967,0.042568162,0.045915093,0.045594353,0.041970994,0.037426334,0.035644826,0.038442466,0.044866923,0.051433504,0.055848435,0.057815522,0.06016249,0.065211594,0.07385803,0.08283819,0.08877042,0.08903095,0.08559433,0.08141912,0.080898345,0.086550735,0.10033748,0.12055898,0.1423165,0.15817583,0.1628096,0.15528895,0.13876398,0.11763555,0.095391385,0.074649654,0.05751473,0.04633589,0.04219674,0.044370294,0.05000171,0.056491923,0.06198434,0.06548822,0.06531545,0.061655253,0.05648248,0.053523656,0.05308951,0.052950557,0.049796943,0.04414983,0.038949877,0.037777185,0.04069445,0.045118093,0.04715088,0.04576919,0.04290289,0.042644884,0.047368243,0.056812484,0.068057664,0.07811025,0.08523173,0.08891993,0.089127004,0.08585661,0.08098805,0.077452816,0.07699195,0.077046864,0.073092066,0.06366289,0.052962143,0.04732911,0.049446046,0.056330074,0.06275227,0.06575363,0.066482104,0.06783157,0.0714378,0.07589658,0.07797565,0.07468001,0.06542436,0.052308682,0.039062653,0.028840458,0.022771059,0.020030675,0.019135894,0.019639475,0.022359222,0.02869221,0.037945867,0.046921086,0.05076735,0.04748973,0.039268214,0.03185169,0.030157313,0.035258133,0.043804303,0.049919438,0.04971307,0.042983185,0.033805624,0.02673018,0.025373096,0.030096084,0.03900417,0.047229316,0.050559614,0.046548024,0.037921492,0.029275676,0.026139118,0.030015511,0.03920493,0.04788983,0.051077876,0.04631585,0.03642383,0.026208421,0.020424685,0.020969868,0.02688284,0.03480566,0.04045633,0.04151906,0.03882044,0.03600213,0.036875416,0.043096382,0.05390638,0.065260954,0.07290494,0.072633065,0.064874284,0.05216776,0.03980582,0.030903136,0.02727256,0.028193315,0.032485332,0.03865215,0.04464166,0.04848753,0.048293468,0.045132592,0.041513044,0.04073594,0.042578653,0.044619307,0.043598916,0.039274212,0.033612777,0.029225511,0.026931323,0.026371041,0.027215337,0.030157126,0.035569508,0.042297002,0.04768674,0.049938172,0.05004861,0.050690893,0.054012675,0.05892685,0.0640512,0.068392515,0.07395467,0.080848,0.088747926,0.095587075,0.10198123,0.10726043,0.10908705,0.103795625,0.09261053,0.08338857,0.08415683,0.09634397,0.11157352,0.11998271,0.11548838,0.100658454,0.08301814,0.07250499,0.07551385,0.09151143,0.11297601,0.1305716,0.13910453,0.1380058,0.12920271,0.11450557,0.0970157,0.08111638,0.07207364,0.07325495,0.08383399,0.09767567,0.10610203,0.10486572,0.097880326,0.09391979,0.09765485,0.106661506,0.11469391,0.11851421,0.11722953,0.112008624,0.10287213,0.09243136,0.08315579,0.07775722,0.07465931,0.07062819,0.062333215,0.050464813,0.038740557,0.031617675,0.031296168,0.036646333,0.044240322,0.049453247,0.049554374,0.0446699,0.038094793,0.033268686,0.031942952,0.03338708,0.035576258,0.036874514,0.037245553,0.037832696,0.039307702,0.04041068,0.039148506,0.034704942,0.028575273,0.023235442,0.020852491,0.023103861,0.031200795,0.044861034,0.060248513,0.070998736,0.07175373,0.06288681,0.04976608,0.038914982,0.033196073,0.031929716,0.03296462,0.034679625,0.036060717,0.036375463,0.035803076,0.035061155,0.034996048,0.035184,0.034796994,0.033135336,0.030882105,0.029129805,0.029127618,0.031205148,0.035410184,0.040803175,0.046058413,0.049296323,0.05011651,0.05004859,0.05195251,0.057284754,0.06517798,0.074563645,0.086745255,0.10396286,0.12524854,0.14338885,0.1501769,0.14126553,0.121082425,0.09729532,0.07785803,0.065271184,0.058881324,0.055731177,0.054150596,0.05374618,0.053827282,0.053043813,0.049036145,0.04210077,0.03386488,0.02767655,0.0249371,0.026122764,0.029850801,0.034313243,0.03705403,0.036739413,0.03375553,0.030402273,0.028847447,0.029831426,0.03209763,0.033918418,0.03424086,0.033339977,0.032039206,0.031193858,0.031097606,0.031851303,0.033040706,0.034352373,0.035127703,0.0350997,0.033905927,0.03182398,0.029466243,0.028100228,0.028782204,0.03179537,0.03623457,0.040588956,0.04357946,0.04478125,0.04481432,0.045278654,0.047636267,0.051855806,0.055534493,0.0559291,0.05228967,0.047461446,0.045464527,0.049211036,0.057187382,0.065126725,0.06743291,0.06266976,0.053101253,0.044539507,0.041194126,0.04578628,0.05726512,0.07291371,0.08656126,0.09336086,0.090272635,0.08021478,0.067540154,0.056961153,0.049290124,0.04370534,0.038748875,0.034782603,0.03322495,0.034703244,0.03765632,0.038706552,0.036241144,0.03193682,0.030220294,0.03329515,0.039345007,0.043475226,0.04281041,0.038886327,0.036960635,0.04218493,0.055153698,0.07106427,0.08186368,0.083139725,0.07692208,0.070177145,0.06806993,0.07020596,0.07249466,0.071492665,0.06792121,0.06440776,0.06281208,0.06163436,0.058735814,0.053922396,0.050393477,0.051270664,0.056515258,0.062345713,0.06491035,0.06359646,0.061081827,0.061008442,0.064698,0.070935436,0.0759035,0.0766537,0.0725149,0.06682426,0.06334397,0.06366678,0.06537474,0.06492927,0.060377475,0.05259521,0.04492281,0.0419388,0.048880074,0.06691519,0.09131903,0.11088121,0.11739686,0.10957793,0.09495413,0.08065835,0.070748694,0.06425911,0.060157344,0.057581563,0.056267675,0.05477352,0.0513989,0.04568628,0.039597258,0.03640871,0.038340937,0.04446807,0.050901186,0.053570163,0.052071914,0.051772233,0.058933016,0.07542368,0.09438234,0.10705155,0.1070504,0.0954757,0.076112285,0.054980714,0.036345687,0.023481533,0.016252661,0.013186324,0.01284464,0.01583359,0.023582086,0.035278417,0.04671384,0.051799774,0.047864128,0.037327092,0.026193634,0.018834822,0.01605204,0.015935881,0.016565872,0.017275013,0.018306427,0.019903123,0.021676436,0.022773856,0.022674752,0.021556856,0.020337073,0.019777646,0.020761637,0.024176113,0.031469636,0.042531624,0.055144597,0.06423107,0.06607529,0.059931725,0.049801785,0.04013734,0.03405552,0.031217873,0.030255413,0.029652258,0.029115831,0.02877262,0.02894845,0.0293587,0.029370544,0.028473513,0.027020685,0.026079519,0.026837962,0.030087193,0.035792705,0.0425621,0.047624454,0.04838403,0.044561923,0.038588528,0.033659305,0.031435743,0.0321245,0.03558746,0.041864827,0.049470857,0.055178706,0.055498112,0.050240304,0.04241821,0.036252502,0.033419017,0.033340897,0.03470779,0.03765059,0.042941194,0.050421577,0.057866115,0.062149514,0.06108275,0.054902613,0.045818597,0.036948007,0.030748622,0.028340533,0.02974146,0.03465609,0.042844538,0.052796166,0.0612116,0.06412213,0.06026813,0.05209719,0.04403815,0.038904365,0.03680824,0.03610969,0.035389226,0.0340786,0.03289954,0.033063937,0.036118496,0.041767407,0.048662886,0.05414633,0.057499677,0.05854037,0.05808793,0.05560076,0.051567588,0.04694743,0.043854702,0.042550802,0.042223644,0.041447118,0.041036468,0.043418467,0.05029738,0.05977727,0.066298686,0.065543905,0.057734564,0.048232604,0.041960627,0.040597733,0.041994933,0.043947797,0.045363173,0.04636853,0.047046367,0.047330003,0.04724665,0.046419185,0.044624556,0.042096633,0.04078099,0.04302727,0.05025366,0.06077151,0.070605725,0.07491637,0.07178521,0.06309638,0.05478276,0.05219261,0.057554543,0.06690381,0.07429328,0.075315766,0.071967065,0.06884964,0.068590134,0.0682562,0.06328004,0.05351265,0.04395008,0.040680345,0.043980926,0.048865993,0.04883938,0.04216507,0.03176422,0.022467198,0.016778156,0.014657578,0.014815557,0.016278805,0.018218393,0.019773664,0.02045697,0.02073442,0.021444038,0.022717444,0.023638895,0.023716414,0.023959108,0.026309973,0.031141862,0.036132857,0.03775691,0.034455065,0.02800625,0.022038346,0.019437643,0.020805968,0.024878798,0.029424101,0.03272004,0.034349807,0.035349503,0.036865357,0.038720604,0.039631438,0.038463462,0.03567101,0.032659028,0.030683314,0.0298218,0.029339137,0.028734317,0.028473498,0.029744007,0.032915235,0.03683625,0.039649863,0.040945936,0.042031374,0.044031966,0.045880552,0.044935297,0.039922714,0.032331303,0.025470845,0.0215547,0.02071886,0.021442905,0.022451224,0.023493946,0.025392862,0.028733663,0.03275999,0.03536463,0.034606162,0.030668577,0.025793714,0.022749878,0.022834012,0.025585184,0.029531121,0.033078507,0.035645176,0.03810138,0.042543888,0.049906593,0.058456395,0.06423303,0.06444105,0.059454527,0.052439053,0.046294983,0.042256683,0.039914247,0.038777146,0.038560454,0.03913939,0.04052909,0.042837054,0.046264272,0.050225276,0.054017946,0.057158902,0.059963763,0.06287163,0.066264935,0.07141862,0.07903462,0.08900812,0.09774072,0.102965705,0.10346169,0.10248097,0.10177752,0.10246498,0.102007,0.09810809,0.089259,0.077314876,0.066528715,0.060527433,0.059563752,0.059803054,0.057471592,0.051892627,0.046547353,0.045928497,0.051913198,0.06212789,0.070837826,0.07335871,0.06910355,0.062164973,0.057451423,0.056928474,0.059265483,0.061536353,0.062056754,0.06051099,0.058153734,0.05664048,0.056986038,0.05901763,0.06135272,0.06300602,0.063171804,0.061580166,0.058130533,0.05429331,0.05287607,0.056283254,0.06389756,0.072293185,0.07784909,0.07941103,0.07771503,0.07405429,0.0697533,0.06685838,0.06742179,0.07149987,0.077513866,0.083526194,0.08937737,0.094623156,0.09854839,0.09990915,0.09973196,0.09959718,0.10028353,0.09964069,0.09517086,0.086168475,0.07518173,0.06585132,0.060732204,0.060017496,0.062524386,0.067097716,0.07316688,0.080696374,0.08886102,0.09604055,0.09937907,0.0971779,0.089736946,0.07992458,0.07119978,0.06599677,0.06562675,0.06942,0.07532268,0.07944768,0.07962778,0.076779455,0.07522532,0.07846352,0.08643785,0.09563974,0.10192162,0.10345451,0.09992347,0.09253565,0.08222181,0.071650006,0.06297775,0.058126763,0.05671476,0.058421955,0.0632404,0.07238262,0.08740244,0.10877454,0.13343717,0.15360777,0.1602202,0.1497702,0.12708713,0.10303254,0.08648468,0.08138072,0.08460856,0.090117484,0.09088535,0.08469659,0.07405878,0.06595281,0.0644913,0.070046686,0.077060245,0.08115827,0.079221785,0.07397217,0.06880706,0.068627276,0.07420365,0.085240304,0.09947596,0.11739693,0.13879527,0.16071351,0.17512257,0.17439735,0.1587422,0.13639615,0.11853263,0.11025143,0.11057761,0.11474604,0.11946103,0.12363555,0.12798028,0.13194098,0.13353021,0.12905861,0.11850155,0.10456154,0.09332075,0.087073125,0.08491844,0.08242161,0.07705509,0.06864431,0.059834007,0.053346634,0.051254284,0.053007454,0.056745004,0.05937999,0.059634272,0.05764552,0.056020033,0.057706792,0.06478252,0.076522954,0.0891548,0.09892576,0.103523135,0.1046857,0.10412261,0.10410721,0.10377875,0.10284249,0.09992039,0.09614721,0.0929445,0.0915752,0.090181015,0.08476127,0.072899885,0.0564402,0.041528173,0.034803253,0.039676692,0.054308087,0.07091583,0.08079214,0.07853419,0.06811349,0.05831015,0.057119686,0.06331573,0.0692252,0.066790886,0.055708822,0.042730536,0.03705745,0.04386967,0.06274824,0.08816012,0.11174378,0.12472081,0.12187601,0.10559132,0.08529705,0.072028674,0.07026445,0.07611937,0.080978125,0.079407014,0.07233552,0.06614372,0.06644509,0.07354486,0.08098527,0.08095169,0.069816016,0.051540334,0.03339054,0.021201843,0.015549124,0.013947102,0.0134005165,0.013011918,0.013356857,0.015584995,0.01961213,0.02418849,0.027257822,0.027702043,0.025527388,0.021754218,0.017498966,0.013769194,0.011327834,0.010803602,0.012694974,0.017421698,0.024193987,0.030938825,0.034597855,0.03387698,0.02963458,0.024523923,0.020549769,0.018609198,0.018395847,0.019112946,0.019741252,0.019956619,0.020593911,0.023682402,0.030160675,0.03873169,0.04590191,0.049660936,0.051556285,0.055175174,0.0627099,0.07237134,0.081213795,0.08619521,0.085574456,0.07785111,0.06346103,0.04589403,0.030013071,0.019375462,0.014264189,0.013678039,0.017390316,0.025281886,0.036068857,0.045156807,0.048581857,0.044215996,0.034950737,0.02453416,0.016639562,0.0118989,0.010384052,0.012010634,0.017882837,0.027356857,0.037553806,0.043117154,0.041568656,0.034254294,0.026698885,0.023507738,0.027316378,0.03750499,0.050611123,0.06097858,0.06321368,0.057608217,0.050564993,0.05149251,0.063217305,0.079599984,0.088411845,0.082884334,0.06624806,0.05012776,0.043867465,0.048646953,0.057231326,0.06146379,0.05815265,0.050046984,0.041655287,0.035410073,0.031697642,0.03076627,0.03250127,0.035484042,0.036340296,0.033492863,0.02765537,0.022042474,0.018290503,0.016854933,0.016671188,0.017468704,0.019127032,0.022220088,0.026469296,0.030845633,0.0332168,0.032239508,0.02814208,0.022955855,0.019220093,0.01868247,0.021481143,0.025853464,0.02922535,0.029726634,0.02735939,0.023876267,0.021591147,0.022503965,0.026704675,0.032193627,0.03536645,0.034125667,0.029345678,0.024565123,0.023074167,0.02572502,0.030422539,0.033517916,0.03250471,0.027814792,0.022580273,0.020156344,0.02176924,0.026153514,0.030613044,0.032913167,0.032038707,0.028633693,0.02427993,0.021100044,0.021019086,0.024704002,0.03093558,0.036451444,0.03842233,0.035962954,0.031767026,0.030405074,0.036260057,0.0499863,0.0669111,0.078882344,0.07935507,0.068497874,0.052758023,0.040489376,0.03574595,0.03837034,0.04577053,0.05755203,0.07220495,0.08714524,0.09666536,0.098569356,0.09313775,0.08358497,0.071648516,0.06032047,0.053481966,0.0547782,0.06360399,0.07490826,0.08206422,0.08031721,0.06910206,0.052071724,0.035692293,0.02573462,0.024904288,0.031457707,0.04161921,0.051384855,0.058948148,0.06314164,0.06310847,0.059096355,0.05463922,0.055611957,0.06469793,0.07890519,0.09137717,0.09832431,0.10001484,0.09892429,0.09496067,0.086691506,0.07328304,0.056985978,0.04184564,0.031609528,0.028752059,0.03340392,0.04472408,0.058823805,0.070991434,0.07496206,0.06935196,0.057369843,0.04779933,0.045926437,0.051489353,0.057353806,0.057937115,0.05135076,0.040753204,0.030080883,0.023767145,0.026324818,0.040645123,0.06532367,0.09179958,0.109017126,0.10863542,0.091847025,0.06711494,0.045345943,0.032409612,0.027890293,0.027092231,0.025986267,0.023400694,0.021169042,0.021957507,0.027007004,0.03605105,0.047445595,0.06060918,0.07460098,0.088692725,0.10090443,0.109594755,0.113456674,0.11134986,0.10270404,0.08780816,0.06914208,0.050961807,0.03842451,0.036464896,0.047691707,0.07174477,0.10451671,0.13884877,0.16665676,0.18009786,0.1770247,0.16030984,0.13949604,0.12227363,0.11304609,0.10923362,0.106636405,0.1010873,0.09253451,0.084409855,0.08231526,0.08834774,0.09922678,0.10777527,0.10890601,0.10161198,0.08848167,0.07401763,0.06334573,0.060222942,0.06363841,0.06911532,0.07203361,0.07275497,0.07461625,0.08086684,0.08912822,0.093407474,0.08741734,0.07098565,0.049640626,0.03162663,0.022822298,0.025994822,0.04059608,0.06324639,0.0865823,0.10251518,0.10533529,0.09552536,0.07762126,0.05906896,0.047225412,0.048122402,0.060914677,0.07731835,0.084497474,0.0762386,0.05615924,0.036117297,0.02618932,0.031171992,0.0481489,0.06970761,0.08607838,0.09186122,0.088547885,0.08367357,0.08297377,0.08672383,0.09070522,0.092191644,0.09118273,0.0884671,0.082574084,0.07217183,0.05914059,0.049731,0.051563773,0.0701224,0.10453799,0.14549941,0.17579542,0.18157494,0.16123487,0.13101126,0.10994955,0.10848802,0.11949875,0.13165872,0.13826764,0.14286454,0.1482742,0.15174079,0.14528376,0.12557738,0.097322606,0.07171305,0.05896166,0.06399458,0.08266288,0.10461583,0.117935084,0.11918133,0.11410132,0.115173094,0.12900041,0.15373595,0.17740084,0.18913572,0.1830018,0.16358672,0.1390122,0.118611224,0.105526425,0.099084996,0.09348482,0.08498594,0.07330792,0.0655287,0.07057709,0.09251586,0.12516297,0.15470561,0.17082477,0.17142196,0.1616662,0.14494157,0.122692026,0.09767952,0.077890806,0.07172659,0.081041194,0.09960956,0.11928049,0.13570547,0.14796901,0.15309823,0.14634939,0.12503651,0.09395944,0.062134564,0.037643578,0.022928284,0.015942907,0.013319045,0.013435631,0.017219244,0.027037969,0.042308044,0.05895366,0.07004096,0.07406814,0.072951436,0.07092228,0.06595641,0.056057926,0.041015863,0.026903844,0.018351788,0.01665207,0.018508248,0.020787572,0.021883778,0.022492783,0.024498114,0.030251414,0.04053013,0.052820325,0.061554987,0.061833855,0.053365067,0.0406887,0.029546568,0.02288455,0.02084952,0.022634512,0.028653815,0.03830618,0.049071264,0.056069624,0.05759047,0.056278795,0.057516154,0.06235308,0.06633076,0.06358964,0.053956028,0.044176802,0.043908928,0.058009107,0.08330831,0.10866028,0.12226996,0.11764816,0.09775284,0.071559235,0.04877429,0.035330612,0.03274964,0.039331708,0.051403422,0.063794784,0.07116997,0.07014959,0.061074793,0.04786998,0.035146743,0.026042072,0.020730302,0.01820458,0.017356208,0.018101223,0.020309435,0.02330888,0.02582825,0.027102923,0.02748303,0.027852496,0.028776268,0.029721322,0.030120498,0.030141225,0.031454537,0.03565207,0.042048316,0.047307193,0.048798695,0.049335938,0.057245553,0.078174524,0.10841632,0.13370962,0.14182715,0.12918954,0.10390117,0.075772375,0.05268544,0.03858493,0.03723672,0.051350012,0.07945979,0.11284659,0.13854413,0.1468541,0.13688432,0.11523226,0.090530105,0.07025005,0.059386045,0.058874547,0.064388275,0.06913292,0.07021192,0.06979441,0.07072911,0.071375914,0.06737285,0.05832547,0.049076702,0.04620104,0.05058359,0.05851986,0.06560805,0.07178884,0.079952545,0.09131352,0.10331131,0.110057324,0.10814778,0.09858453,0.08712482,0.07849113,0.07337549,0.0687918,0.062354013,0.05427095,0.046415042,0.039882343,0.03563643,0.03505918,0.040861968,0.05395028,0.07115135,0.084720425,0.0871798,0.0773072,0.061452568,0.048478056,0.042719852,0.04196096,0.041294392,0.037824977,0.032662783,0.02857452,0.027844764,0.030738467,0.03659548,0.043938503,0.050804544,0.05442248,0.05288275,0.04665034,0.038838375,0.033636913,0.03420458,0.042431388,0.057402134,0.075462095,0.0890539,0.09195957,0.08212538,0.06490628,0.04795237,0.037958074,0.037278317,0.04420634,0.053714592,0.059054825,0.05645651,0.046944454,0.036120363,0.02894362,0.02760833,0.030996343,0.036594313,0.041023616,0.04144934,0.03682397,0.029335186,0.022851296,0.02079534,0.023277482,0.027768357,0.030669319,0.030650742,0.028603628,0.026593374,0.025675511,0.026563594,0.030754969,0.039678987,0.052374948,0.06363169,0.067862384,0.062657766,0.05169709,0.04111569,0.036782894,0.040910177,0.051599354,0.0636634,0.0718858,0.07544443,0.07736003,0.08060693,0.08320239,0.080447786,0.07020331,0.056308195,0.04464142,0.038098175,0.03455123,0.03160127,0.029573856,0.032632086,0.0434355,0.061366457,0.080630176,0.09546854,0.10103799,0.09705005,0.08471177,0.06800594,0.050708916,0.036701072,0.02750838,0.022766948,0.02086988,0.020195203,0.019821094,0.019230573,0.018383913,0.017795116,0.019457445,0.026909798,0.042777333,0.06439448,0.082782604,0.0884704,0.08092763,0.07105002,0.07247568,0.08905957,0.1098958,0.11902691,0.1075994,0.08116579,0.052090853,0.030944502,0.020112135,0.017061343,0.017765714,0.019349197,0.02136536,0.026065111,0.038615674,0.059371803,0.082461305,0.09481129,0.09083066,0.07361286,0.055422585,0.043783512,0.040965844,0.04452178,0.05139905,0.05802833,0.05934773,0.053888515,0.043575745,0.034321696,0.029071344,0.028107883,0.028627997,0.028946012,0.028427191,0.028056981,0.028391922,0.02923605,0.029378803,0.028520385,0.028132932,0.031478275,0.041080996,0.05675156,0.0741109,0.08657227,0.08876691,0.081041984,0.070204325,0.06574776,0.07312561,0.08977446,0.10682777,0.11549401,0.11170479,0.09764766,0.07912,0.06359287,0.057962734,0.064124726,0.077596106,0.08715117,0.08635443,0.07610803,0.066959925,0.06531295,0.07137129,0.077696346,0.07941722,0.07505561,0.06656641,0.05528821,0.0430686,0.032585517,0.02687431,0.026421765,0.02909658,0.032021534,0.03532524,0.041224327,0.05124758,0.06198133,0.06732671,0.06290723,0.050667968,0.036678974,0.026846983,0.02318468,0.024111988,0.026584208,0.028108357,0.02870592,0.030450726,0.035885815,0.044518713,0.052592468,0.055501696,0.051768884,0.044314694,0.038592473,0.03993568,0.05103181,0.0701778,0.090787165,0.103333704,0.10148009,0.08543124,0.06286515,0.042206526,0.029749362,0.027348258,0.036269184,0.055034716,0.0793967,0.100403816,0.11299785,0.11802467,0.12276401,0.129326,0.13363157,0.12770595,0.10977808,0.08460321,0.060671326,0.04413308,0.03759535,0.039049145,0.043887835,0.046352226,0.044392813,0.03984568,0.03764652,0.040618584,0.04898225,0.059616644,0.069493525,0.07486353,0.07581941,0.07541593,0.08276498,0.10202924,0.1297828,0.15281725,0.16602913,0.17721279,0.20120712,0.23760946,0.26722968,0.2682067,0.23886718,0.19963074,0.17385395,0.16928597,0.17583899,0.17957465,0.1727382,0.15648031,0.13445096,0.110907316,0.08914143,0.07243703,0.062259573,0.058288265,0.059197586,0.06384315,0.07168434,0.08233613,0.095496655,0.10873571,0.11747697,0.116680466,0.10745489,0.09782192,0.09769079,0.10913514,0.12457041,0.13389577,0.13403751,0.13141388,0.13627742,0.15351297,0.17934398,0.20172791,0.20962608,0.19783646,0.17169602,0.14100017,0.11512127,0.09811293,0.08965591,0.08749136,0.08855644,0.09012348,0.08994475,0.088113725,0.08577627,0.08384981,0.080769986,0.075467385,0.069419935,0.06763851,0.07383593,0.08605804,0.09756115,0.10206666,0.10076702,0.099665664,0.10363433,0.11077464,0.11606237,0.1180063,0.11849251,0.12034079,0.12239647,0.12442569,0.12574862,0.12759614,0.12853517,0.12889872,0.12754638,0.12368672,0.11414493,0.09979087,0.085237175,0.078487426,0.08505875,0.10710361,0.14123671,0.17762871,0.20164488,0.20157188,0.17758651,0.14267285,0.11423548,0.10195634,0.10272638,0.10563717,0.102218054,0.092379816,0.08131769,0.07327152,0.06830723,0.06558376,0.06495756,0.06756384,0.072695784,0.07943327,0.086191036,0.09170872,0.09342447,0.08903023,0.079412304,0.06893439,0.06405465,0.06685236,0.07490506,0.08118259,0.08136895,0.07496936,0.0663265,0.059542403,0.056013465,0.05375235,0.04958911,0.042731807,0.034899645,0.029455975,0.028906262,0.034924973,0.04808241,0.065484315,0.08082772,0.086688064,0.082472265,0.07418475,0.071374714,0.0780859,0.09202874,0.10502591,0.108884625,0.09889688,0.077661045,0.052989036,0.033637032,0.024332946,0.025274277,0.03342928,0.04429364,0.053002466,0.056303862,0.05452283,0.051653966,0.052446138,0.058494348,0.06683455,0.07224832,0.07157689,0.06588028,0.05973409,0.059005428,0.06787123,0.086569875,0.10901401,0.12551989,0.1282624,0.117786296,0.103003494,0.094320364,0.09590153,0.10245826,0.1049355,0.09755412,0.08279642,0.06894631,0.06336063,0.06669553,0.07224374,0.07338814,0.06912751,0.065612495,0.0682672,0.07726806,0.08664826,0.09078213,0.08785518,0.08011532,0.07045083,0.06071337,0.052075703,0.045387078,0.04098584,0.038438547,0.037946627,0.04054979,0.046399817,0.052946072,0.055846076,0.053075418,0.046531703,0.040748417,0.039251838,0.042871032,0.050626665,0.059877466,0.06830144,0.0729607,0.073105685,0.06854055,0.061330874,0.053481817,0.048004776,0.04708701,0.05154024,0.059406947,0.06670382,0.0697051,0.06741462,0.062253013,0.059052948,0.06184427,0.07165581,0.085302465,0.098819904,0.11135429,0.12652595,0.14854461,0.17646651,0.20426692,0.22463341,0.23503606,0.23622905,0.22940059,0.21350674,0.18870354,0.15970923,0.13461794,0.120066285,0.117445655,0.12546359,0.14284496,0.16786997,0.19279657,0.20661646,0.20197453,0.18524034,0.16877069,0.16170336,0.16016681,0.15627721,0.14517124,0.13059492,0.11843907,0.11306804,0.11437586,0.12053132,0.12824835,0.13464032,0.13641351,0.13180423,0.12061117,0.10662297,0.096409,0.09699645,0.108490735,0.12355765,0.13128491,0.12943824,0.123948455,0.12416184,0.12966311,0.13408509,0.13073835,0.12312722,0.11813393,0.11937488,0.120110475,0.112239875,0.09409469,0.07593056,0.07166177,0.08928054,0.1224212,0.15362792,0.16630407,0.15838063,0.14345919,0.13705812,0.14251333,0.15053946,0.15267955,0.15008736,0.14941974,0.15280356,0.15448783,0.14891373,0.13523765,0.12074662,0.113867335,0.12533075,0.15568961,0.19657315,0.22474773,0.22540908,0.19600321,0.15415452,0.11627173,0.09334595,0.08555154,0.09003627,0.1013962,0.11259958,0.11828252,0.11707527,0.112410806,0.10665429,0.10079149,0.09502921,0.0929888,0.09908923,0.11667532,0.14451124,0.17692785,0.2046644,0.21912551,0.21809797,0.20716353,0.19553737,0.18807322,0.18351205,0.17816174,0.17178018,0.16747081,0.16828366,0.17361142,0.17961234,0.18138532,0.17567419,0.16247003,0.14476459,0.1265698,0.11099135,0.10003077,0.09684735,0.1046241,0.12332306,0.14409216,0.15373926,0.14320324,0.11743597,0.09049193,0.07637677,0.07804914,0.089710765,0.10107243,0.105653256,0.10155641,0.09230598,0.083558686,0.0819895,0.09130648,0.10979048,0.12858419,0.13819806,0.13425647,0.1218153,0.10846407,0.100163005,0.09756509,0.099410184,0.10362948,0.10782961,0.11048331,0.10918146,0.10373765,0.09365314,0.08296002,0.075286835,0.07488314,0.08117247,0.09170243,0.10132135,0.10586479,0.1037051,0.09799385,0.093122184,0.091145866,0.089726515,0.087382965,0.08462581,0.08480724,0.088658094,0.09644452,0.10640108,0.11731266,0.12523963,0.126623,0.11916714,0.10479045,0.087449975,0.07193369,0.06216867,0.060729276,0.068386264,0.08294604,0.10070437,0.11626265,0.12634455,0.12963955,0.1296819,0.13048999,0.13543656,0.14267327,0.1497808,0.15445141,0.15829813,0.16108917,0.16144218,0.15619898,0.14657657,0.13734144,0.1342325,0.13762148,0.1426888,0.14311852,0.13856657,0.13352661,0.13376822,0.13837355,0.14311945,0.14286947,0.13810714,0.13052043,0.12344209,0.11823242,0.11728869,0.12090943,0.12800005,0.13580625,0.14295524,0.14900754,0.15303867,0.15288489,0.14755559,0.13798176,0.12659043,0.114979036,0.10501057,0.09910217,0.09998796,0.108460896,0.12197065,0.13579988,0.14553031,0.14912541,0.14774501,0.14350183,0.1401668,0.13984846,0.14428288,0.15141885,0.15972185,0.168226,0.17669767,0.18227841,0.17921925,0.16550231,0.14422366,0.122971654,0.10575247,0.09322563,0.084144354,0.07862047,0.07681695,0.07717091,0.077179946,0.07581095,0.07523036,0.078635514,0.08721218,0.098501556,0.10927886,0.117849946,0.12504536,0.13146837,0.13646616,0.13822097,0.13520528,0.12766506,0.118847676,0.11555379,0.12382513,0.142524,0.16111036,0.16629803,0.15459912,0.13470301,0.122654945,0.1254495,0.13973837,0.15150978,0.15257426,0.14056364,0.12303451,0.10649207,0.09762577,0.09904765,0.11043654,0.12611458,0.1376965,0.1403379,0.13560082,0.12930238,0.124946214,0.12132904,0.11598306,0.10839497,0.10223276,0.10070864,0.10523278,0.11283049,0.1206451,0.12717979,0.13458373,0.1448306,0.15796185,0.17089851,0.18073718,0.1877116,0.19505505,0.20548765,0.21731518,0.22543937,0.22661035,0.22250795,0.21918021,0.21925771,0.22139479,0.21905541,0.20899145,0.18907572,0.16181861,0.12978971,0.09949281,0.07745927,0.06877926,0.07342177,0.08758444,0.10704685,0.12893789,0.15093511,0.16999048,0.18156876,0.18405159,0.17869629,0.17110161,0.16473168,0.1609261,0.1574669,0.15335582,0.1492654,0.14890526,0.15716599,0.17833553,0.21103668,0.245767,0.26735348,0.26531807,0.24131851,0.20893042,0.18353988,0.173208,0.17588891,0.18407975,0.19170529,0.19656521,0.19959974,0.20100199,0.2028348,0.2094386,0.23004071,0.26700607,0.31299964,0.34641275,0.3500012,0.32001922,0.27565286,0.24486119,0.24583626,0.27445054,0.30636096,0.31997705,0.3064607,0.2745678,0.23620583,0.20211072,0.17781518,0.16443199,0.1601506,0.1625032,0.17312868,0.19382505,0.22233991,0.24877113,0.26270983,0.26069096,0.250075,0.24278097,0.24828267,0.26492116,0.28314564,0.28878346,0.27746686,0.25357416,0.22931337,0.21111166,0.19947253,0.19036652,0.18213809,0.17534734,0.17142908,0.1698776,0.16973732,0.16913553,0.16803513,0.16779359,0.173274,0.19057287,0.22140157,0.25690043,0.27881548,0.2718713,0.23910378,0.20053208,0.18151097,0.18846245,0.21091671,0.22547032,0.22166753,0.20009173,0.17546439,0.15870841,0.15729265,0.17082854,0.19702797,0.23453291,0.28020075,0.32912013,0.3676028,0.3849537,0.3769481,0.35428572,0.33231536,0.31937754,0.31443998,0.30821526,0.30047932,0.2917457,0.28678486,0.2794392,0.26648176,0.24583757,0.22363435,0.20662577,0.20218217,0.21940406,0.26031867,0.31639454,0.36235186,0.37835297,0.35900906,0.32016298,0.28034094,0.25246844,0.24160153,0.24771161,0.26704574,0.28792545,0.2980918,0.2887245,0.26187992,0.22548397,0.18992199,0.16315274,0.14971226,0.15054554,0.16185717,0.177485,0.19057763,0.19795118,0.19914542,0.19619054,0.19195037,0.19052176,0.19486822,0.20514615,0.21721292,0.22658686,0.2292224,0.22523643,0.21643336,0.2073863,0.2009679,0.19900846,0.20270585,0.21458061,0.2338837,0.253167,0.2606016,0.25123557,0.23118548,0.21299446,0.20493414,0.20868783,0.22190356,0.24211651,0.2673799,0.2945398,0.3189151,0.33147696,0.32584608,0.2993388,0.26133057,0.22377682,0.20017745,0.19462602,0.20540456,0.22384743,0.24204688,0.25535953,0.26500055,0.2745824,0.2849579,0.2935624,0.2958877,0.2924752,0.28607348,0.28226808,0.28253725,0.28793392,0.29433608,0.29786363,0.2938248,0.2848663,0.27504364,0.26871315,0.26427042,0.2623692,0.26473638,0.2753099,0.29013106,0.30240873,0.30212364,0.28727293,0.2593055,0.2277446,0.200598,0.18547277,0.18226917,0.1869275,0.19248958,0.19559388,0.19824164,0.20489512,0.21657337,0.22813582,0.23247562,0.22667335,0.21313448,0.19731374,0.18363406,0.17542888,0.17361863,0.17725159,0.18267407,0.18908036,0.19897705,0.22032444,0.2541093,0.29472482,0.32705423,0.34304675,0.34180298,0.33195832,0.3213161,0.31556323,0.31857505,0.33266506,0.35978568,0.39391494,0.42341447,0.43030593,0.4071711,0.35881066,0.30481103,0.26215857,0.24092549,0.23935544,0.25059402,0.26522923,0.27387094,0.27129462,0.25876752,0.24621324,0.2435276,0.2522932,0.26347327,0.26639536,0.26032212,0.25268504,0.2510269,0.25281522,0.25000253,0.23769863,0.22256391,0.2187074,0.23560806,0.26695588,0.29386112,0.3004903,0.29127172,0.2856933,0.3014313,0.3330178,0.35885087,0.35723245,0.32739434,0.28708166,0.25965703,0.25599062,0.26879653,0.28189358,0.28550777,0.28509507,0.2920847,0.31056166,0.33009037,0.33652768,0.32281005,0.2946507,0.2618456,0.23226555,0.20843263,0.19152047,0.18165804,0.17770886,0.17757998,0.18128581,0.19281924,0.21705575,0.25531158,0.30192545,0.34539616,0.372961,0.37713504,0.35948053,0.32822245,0.29187286,0.25653163,0.22665627,0.20765513,0.20121734,0.20372723,0.20648795,0.2049277,0.1992865,0.193052,0.18612824,0.17808779,0.17109062,0.17144732,0.18387353,0.20728551,0.23575462,0.26198038,0.28142318,0.2909222,0.28929093,0.27480337,0.24899358,0.21565098,0.18292604,0.15976916,0.15491551,0.17311311,0.20868862,0.24633574,0.26572478,0.26127717,0.24223375,0.22929019,0.22967078,0.23969257,0.24581724,0.24633807,0.24338041,0.2449807,0.24944878,0.2561765,0.2597467,0.25933895,0.25177288,0.23913302,0.22400813,0.21103239,0.20309643,0.204665,0.21957159,0.2471122,0.2767848,0.29527113,0.29631534,0.287647,0.2812012,0.2832887,0.2939918,0.31845245,0.3687171,0.44844997,0.5367821,0.5970939,0.6040249,0.56521326,0.50925106,0.46282673,0.4316317,0.409588,0.39240775,0.385348,0.39418074,0.41496265,0.4382174,0.4594287,0.48480812,0.51825005,0.5509283,0.56456465,0.5505639,0.5218888,0.50329566,0.50810534,0.5233105,0.5202838,0.48284304,0.42338464,0.37561464,0.36214876,0.37955698,0.40125582,0.4066688,0.39296374,0.37184247,0.35259482,0.333082,0.30859315,0.27791166,0.25289407,0.24230903,0.24903534,0.26033777,0.26793376,0.26866367,0.27115473,0.28029552,0.29663277,0.3112298,0.3132287,0.29862687,0.27585813,0.2596289,0.25434735,0.25087124,0.23557621,0.20646663,0.17374776,0.15098764,0.14392656,0.14807,0.15432043,0.15337922,0.14270486,0.12475321,0.10893288,0.10096323,0.10149381,0.102793016,0.10081866,0.096657366,0.0957478,0.097678185,0.0977884,0.0928489,0.08747118,0.088242084,0.09678868,0.10537577,0.10586812,0.09476656,0.0791238,0.069125004,0.07526621,0.09781003,0.12899004,0.15374379,0.1632121,0.15528667,0.13589646,0.110502265,0.08522435,0.06490409,0.05326208,0.049849715,0.050823692,0.051639274,0.04994714,0.04661032,0.04427123,0.044614907,0.046772223,0.047884285,0.04646854,0.04274639,0.038552057,0.034445427,0.030937145,0.028127624,0.026962908,0.027781026,0.030751362,0.035402223,0.040914357,0.04557712,0.04762758,0.04640904,0.04316437,0.03983651,0.037516147,0.035812363,0.034159597,0.032896217,0.033606157,0.037821468,0.045829546,0.055668727,0.06419348,0.07017218,0.07739399,0.09363574,0.123446606,0.16150594,0.1929378,0.20280738,0.18739189,0.15738624,0.13350762,0.13113016,0.15267457,0.18433706,0.21071054,0.22248238,0.21996701,0.2058431,0.18188357,0.15118672,0.118418306,0.08956633,0.06701156,0.051158283,0.042115986,0.043093562,0.058016557,0.086568855,0.1210173,0.14924149,0.16294469,0.1616215,0.15092687,0.13624983,0.1201399,0.10336324,0.08729606,0.07511695,0.06831864,0.06574335,0.06225283,0.055232044,0.04579145,0.040568344,0.043883573,0.056985278,0.07408593,0.089461654,0.096034475,0.092413984,0.07849165,0.05983862,0.04126745,0.028241036,0.021941701,0.021391565,0.023225253,0.024294289,0.023430226,0.022520678,0.025948688,0.036439862,0.05148548,0.063378,0.064823724,0.05525784,0.040813338,0.029316036,0.024064397,0.023770139,0.025223807,0.026497873,0.027142122,0.027251368,0.026925713,0.026080487,0.0248762,0.023426443,0.021929026,0.02045393,0.01921558,0.018661937,0.019470414,0.022306023,0.026723817,0.031192139,0.03329095,0.032086235,0.028169498,0.023703644,0.020118557,0.01812538,0.01737377,0.01746165,0.017810382,0.018041978,0.017931603,0.017547188,0.017133253,0.016838573,0.016653141,0.016282657,0.015659198,0.014948024,0.014928069,0.016502647,0.020829313,0.028364262,0.03923053,0.05278297,0.06830898,0.08304486,0.09234974,0.09096102,0.07814353,0.05860956,0.039966505,0.026854515,0.019570189,0.015703185,0.013509761,0.012710899,0.014112796,0.017931214,0.023292437,0.028204063,0.03145046,0.03297026,0.033894483,0.034722403,0.03554268,0.036475617,0.038815763,0.044469636,0.05426952,0.06663934,0.07725286,0.08137486,0.07619071,0.063056804,0.047507387,0.036821987,0.036889866,0.047828067,0.065390736,0.08310669,0.097540736,0.10774243,0.113852054,0.11601278,0.11482478,0.11372904,0.1166841,0.12585145,0.1367855,0.14026904,0.12837808,0.10178044,0.06985822,0.04381788,0.030046567,0.029590001,0.041469444,0.06405669,0.09206984,0.11535389,0.12347733,0.1136598,0.092948735,0.07168773,0.055303413,0.04263961,0.030828366,0.019512633,0.010439519,0.0047759204,0.0020129904,0.0008710213,0.00040035005,0.00018237591,8.4484636E-05,5.256527E-05]