[0.010355489,0.011839562,0.015469714,0.020960486,0.027664995,0.03439023,0.039451048,0.04136386,0.039994653,0.037651166,0.038048092,0.044309814,0.05742834,0.07831809,0.110191405,0.15647526,0.21516247,0.27493623,0.32140413,0.3448864,0.3450793,0.3260173,0.2938705,0.25616202,0.22398925,0.20629866,0.20603506,0.21823382,0.23657711,0.25636017,0.27535653,0.2908757,0.29992077,0.29977497,0.28868333,0.26556858,0.23109387,0.18931782,0.14786771,0.11499918,0.09535902,0.087462954,0.08548661,0.08362299,0.079915605,0.07620674,0.07547855,0.07996785,0.08964401,0.102143444,0.11145381,0.11155846,0.09976598,0.0803842,0.06138463,0.050185055,0.04965463,0.058755666,0.07567973,0.10026404,0.13341643,0.17293324,0.21178277,0.24064863,0.2536418,0.2508938,0.23692282,0.21733059,0.19720012,0.18012458,0.16796727,0.1598718,0.15399684,0.14835475,0.14231876,0.13557391,0.12808777,0.11994979,0.111839086,0.10507276,0.10132306,0.10264046,0.111238636,0.12879784,0.15509953,0.18691929,0.2189454,0.24618666,0.26657438,0.2803395,0.2878833,0.28764722,0.2785076,0.26189741,0.24200767,0.2213958,0.19960226,0.17653014,0.15718777,0.15090357,0.16386169,0.19316934,0.22728336,0.25320163,0.26325396,0.2574744,0.24121416,0.22075026,0.20004342,0.17978297,0.15891682,0.13776179,0.119605966,0.11129352,0.11896196,0.14464661,0.18182181,0.21899734,0.24417393,0.2516047,0.24183534,0.22026253,0.19336845,0.16658787,0.14301498,0.12364764,0.10862296,0.098369144,0.094184004,0.09893793,0.114985704,0.14213562,0.17401509,0.202214,0.22042148,0.23003723,0.23638408,0.24448176,0.25433275,0.2615398,0.2603074,0.24683435,0.22262347,0.19312668,0.16540192,0.1433961,0.12770112,0.116234384,0.107039265,0.09884939,0.09127957,0.084062554,0.077000774,0.07002036,0.0634707,0.05789645,0.053744957,0.050874338,0.048783515,0.046791922,0.044651333,0.042425677,0.04055165,0.039326444,0.038842488,0.03876401,0.038624126,0.038207293,0.037884373,0.03871958,0.041640047,0.047568772,0.057235107,0.073014915,0.09766608,0.13270383,0.17430992,0.21431176,0.24465652,0.2629613,0.2732992,0.2800636,0.2832665,0.27655026,0.2545075,0.21804546,0.17855982,0.15092975,0.14491394,0.15764095,0.17626107,0.18693638,0.18241026,0.16417499,0.13790889,0.10985305,0.08433682,0.06401756,0.050037045,0.04204199,0.038673345,0.038000047,0.039495196,0.04517941,0.06046916,0.09005173,0.13370869,0.1827883,0.22515471,0.2512227,0.25887394,0.25116578,0.23294379,0.20903386,0.18406528,0.16227758,0.14565338,0.13385879,0.124870606,0.11690422,0.109193064,0.102099955,0.09644905,0.09255126,0.0900471,0.088253,0.0871881,0.0874336,0.08956913,0.09309999,0.09673777,0.09899364,0.0993011,0.09795406,0.09583149,0.09356272,0.09143043,0.08943721,0.08753603,0.08561281,0.08341729,0.08075922,0.07778776,0.07526791,0.074539475,0.07673526,0.08181575,0.08797749,0.092870645,0.09503826,0.09489056,0.093541354,0.0919305,0.09003688,0.087679766,0.08464109,0.08113367,0.07742873,0.07379214,0.07034886,0.06736397,0.06572292,0.06669425,0.071091495,0.07813258,0.08568243,0.09142927,0.094285406,0.09445354,0.09280306,0.09032176,0.08800283,0.08675792,0.086813234,0.087510526,0.08764285,0.08640433,0.084092975,0.08204025,0.08207735,0.08512429,0.090538986,0.09586417,0.098790556,0.09859162,0.097469606,0.09988158,0.111971505,0.13981357,0.18542756,0.24161346,0.2903556,0.31080207,0.29255426,0.24416745,0.18918397,0.15301813,0.15136582,0.18400382,0.2371558,0.2902976,0.3278674,0.34557894,0.34971797,0.34849986,0.34650528,0.34381816,0.33873215,0.329206,0.31248438,0.28680578,0.25165913,0.21112455,0.17230938,0.1472339,0.1458472,0.17112221,0.21175961,0.2479531,0.2620107,0.24919055,0.21828616,0.18348335,0.15618104,0.14081235,0.13748898,0.14529862,0.16433531,0.19320728,0.226201,0.25350404,0.26630962,0.26192585,0.24477154,0.22344021,0.20737581,0.20428048,0.2162003,0.2369874,0.2535564,0.25451317,0.23690672,0.20825617,0.18058904,0.16485332,0.1673498,0.18707961,0.21522641,0.23664652,0.23995079,0.22409151,0.19985871,0.17914279,0.16759638,0.16257758,0.15943395,0.15539227,0.15027118,0.1444993,0.13829055,0.13191782,0.12574922,0.11984979,0.113669604,0.10654909,0.09837242,0.08965286,0.08099881,0.0728598,0.06580164,0.06109865,0.060491096,0.065365784,0.07600457,0.09228442,0.115658425,0.14965846,0.19696444,0.25359377,0.30759695,0.34452948,0.35811245,0.35314226,0.34018192,0.3243198,0.30375993,0.27560207,0.24488427,0.22345215,0.22189617,0.24086344,0.27058482,0.2973193,0.31068286,0.3060284,0.28411022,0.25055742,0.21753019,0.19933595,0.2043116,0.22640097,0.2492748,0.25706792,0.24500741,0.21972775,0.19391443,0.17926116,0.18117268,0.19701087,0.21744902,0.2326199,0.23559184,0.22566277,0.207497,0.19193171,0.1903892,0.20769286,0.23564172,0.25729224,0.25829187,0.23600702,0.20000269,0.16365384,0.13654655,0.120319664,0.11147937,0.10520363,0.098874934,0.09200233,0.08523663,0.079012685,0.073475726,0.06887581,0.06635412,0.068482496,0.078566365,0.09928795,0.13025998,0.16766928,0.20471674,0.2352392,0.25572097,0.26650506,0.26875466,0.26247954,0.24752344,0.22792126,0.2136172,0.2145688,0.23211066,0.25531211,0.26717767,0.25653023,0.22588725,0.19219874,0.17543983,0.18640506,0.21804406,0.25284132,0.27487925,0.2798905,0.27299276,0.26197648,0.25131443,0.24126357,0.2292055,0.21342076,0.19608139,0.18474519,0.18672813,0.20232248,0.221052,0.2283829,0.2161721,0.18836038,0.15785007,0.1368723,0.1313682,0.13829935,0.15152834,0.16616684,0.1840929,0.20915718,0.24256544,0.27795124,0.3066382,0.32236242,0.32483754,0.31661126,0.30186775,0.2851379,0.2721689,0.26727685,0.27213886,0.2841591,0.29774508,0.30497906,0.30009267,0.28447363,0.26879108,0.26542485,0.27724007,0.29455748,0.30375326,0.29968703,0.28732482,0.27523372,0.26703313,0.2606191,0.25200477,0.24054933,0.23137476,0.2328669,0.24965806,0.27628943,0.29757413,0.2984294,0.27336225,0.22979923,0.1817111,0.14213446,0.119534254,0.11758447,0.1354763,0.16593027,0.19654483,0.21523607,0.21711092,0.20619367,0.19046916,0.17639606,0.16610183,0.1589524,0.1531594,0.14741585,0.14109652,0.13484971,0.13046688,0.1308406,0.13803805,0.15149872,0.16743344,0.18186116,0.19405252,0.20633279,0.22066386,0.23511998,0.24634892,0.25242326,0.254788,0.25437725,0.2504392,0.24102087,0.22685151,0.21121036,0.1984121,0.19103841,0.18946593,0.19228397,0.19733472,0.20387055,0.21256973,0.22483297,0.2391737,0.25215682,0.25985944,0.26191786,0.26115492,0.26300558,0.27227843,0.29040813,0.31336096,0.3333063,0.3439716,0.34451684,0.33916482,0.33274704,0.3273183,0.32286826,0.3187767,0.31601024,0.3150582,0.31646478,0.31929788,0.32328603,0.32727882,0.3294026,0.32560042,0.31270242,0.29071352,0.26503074,0.2434295,0.23390321,0.241803,0.26777816,0.30447808,0.3366346,0.34938145,0.3373792,0.30959222,0.28161344,0.2671877,0.2709166,0.28895697,0.31137478,0.3274574,0.32902268,0.31306824,0.2814028,0.24178368,0.20688047,0.19269909,0.20898171,0.25223446,0.30229077,0.33564377,0.33898354,0.31820646,0.28944072,0.26731586,0.25683543,0.2554818,0.25826922,0.26178348,0.26508078,0.2688644,0.27361262,0.27875146,0.28233254,0.28239638,0.27797064,0.2705165,0.26221278,0.2546713,0.2463256,0.23565282,0.22213918,0.20881532,0.19836639,0.19265021,0.19135334,0.19410323,0.20012997,0.20795691,0.2153733,0.2204191,0.22267485,0.22281955,0.22211201,0.22144794,0.22131252,0.22144216,0.22104484,0.21931595,0.2162009,0.21249634,0.20972471,0.20974058,0.21501188,0.22714369,0.24583988,0.2672496,0.28655687,0.29962194,0.30550703,0.30456093,0.2981048,0.28674594,0.27119455,0.2522137,0.23173349,0.21287484,0.19872515,0.19138855,0.19184601,0.20157272,0.22078802,0.24615936,0.2693425,0.28295186,0.28631926,0.28720498,0.29383028,0.3082851,0.3245133,0.33503318,0.335654,0.32837847,0.31824148,0.31072554,0.30771545,0.30724683,0.3050228,0.2984029,0.2873346,0.2739524,0.26068696,0.25084373,0.24736881,0.25106564,0.25877425,0.2649795,0.26650622,0.26362514,0.25947872,0.25506923,0.2503009,0.24371405,0.23639654,0.23010252,0.22796035,0.23106112,0.2385859,0.2462424,0.24936457,0.24471165,0.23309003,0.21785505,0.20337306,0.19267668,0.18694001,0.18595946,0.18911521,0.19705474,0.21057034,0.22941333,0.24947982,0.2653847,0.27287114,0.27175888,0.26324186,0.24885188,0.23040016,0.21159305,0.19646387,0.18706752,0.18406701,0.18847018,0.20182319,0.22255725,0.24515396,0.26256788,0.27062806,0.2686062,0.25837645,0.24347611,0.2295167,0.22129606,0.22030191,0.22360833,0.22905259,0.23652868,0.2475357,0.2599244,0.26985356,0.27359822,0.27107346,0.26363805,0.25391045,0.24445023,0.2373569,0.23233165,0.22764404,0.22359987,0.22375035,0.23204236,0.24671596,0.26097083,0.26706013,0.26259792,0.24981552,0.23285122,0.21503197,0.1988646,0.18669355,0.17927082,0.17564736,0.17300998,0.1691701,0.16338573,0.15826307,0.15957208,0.17525475,0.20964877,0.25930282,0.31217945,0.355361,0.38182065,0.39326847,0.39548722,0.3933774,0.3888123,0.38178095,0.3726084,0.36167216,0.34820104,0.32889006,0.30074176,0.26473653,0.22702043,0.19479775,0.17138433,0.15703161,0.15211768,0.16047108,0.1838486,0.21882574,0.2545851,0.2814078,0.2946558,0.29696918,0.29194412,0.28175858,0.26809183,0.2549387,0.2481236,0.24971323,0.25682625,0.2635819,0.26782852,0.27171984,0.27948034,0.29168054,0.30366457,0.3066502,0.293772,0.26463413,0.22674388,0.19003095,0.16135871,0.14198522,0.1300666,0.12363868,0.12237876,0.12776256,0.14144556,0.1627639,0.1864867,0.20473741,0.21111293,0.205621,0.19484238,0.18899073,0.1944132,0.20969848,0.22509526,0.2308687,0.22235398,0.20352753,0.18154478,0.16406356,0.1548058,0.15405172,0.15842213,0.16410267,0.16860639,0.17160307,0.17357971,0.17513251,0.17721428,0.18088107,0.18614185,0.19077052,0.19168442,0.18737298,0.17919117,0.17000067,0.16206722,0.15674019,0.15473193,0.15604074,0.15881793,0.15996265,0.15731482,0.1512586,0.14395733,0.13701601,0.13073626,0.12485693,0.119830124,0.116386525,0.11474075,0.11395962,0.113024406,0.111592956,0.11036953,0.110084064,0.11075815,0.1117732,0.11264504,0.113869525,0.11609014,0.11931891,0.12226149,0.123979814,0.12454045,0.124682195,0.12407154,0.12151716,0.11681672,0.11180369,0.109211944,0.1103375,0.11466953,0.120755635,0.12700553,0.13149251,0.13223498,0.12851267,0.12163889,0.11430016,0.10870751,0.10565921,0.104486845,0.10407955,0.103488155,0.10251528,0.10117184,0.09952878,0.09730481,0.09460428,0.09174874,0.089490585,0.08824717,0.088347465,0.08944332,0.09074802,0.090831876,0.08881167,0.08486486,0.080553256,0.077571616,0.07677426,0.07762831,0.07898182,0.07994034,0.080319434,0.08028694,0.07997864,0.07955391,0.07946479,0.08033088,0.08237762,0.085114926,0.0876253,0.08940208,0.09087792,0.093628384,0.099212654,0.10808179,0.11837522,0.12728482,0.1325002,0.13380213,0.1325693,0.13166718,0.13575108,0.1502747,0.17859404,0.21730895,0.25701055,0.2867596,0.30215898,0.3058997,0.30481806,0.3027469,0.3006024,0.29728362,0.29338935,0.2901324,0.2892935,0.29174685,0.29669866,0.30098355,0.29993936,0.2919787,0.2803699,0.27244082,0.27258193,0.27988994,0.2903367,0.30388865,0.3267307,0.36458024,0.4135584,0.45746818,0.4786655,0.4715205,0.44608152,0.41917086,0.4013008,0.39379227,0.39142904,0.3894572,0.38443866,0.37569654,0.36368287,0.35017172,0.33762792,0.32906604,0.32852364,0.33645368,0.3494009,0.35779846,0.35596314,0.34300563,0.32623124,0.31170455,0.30434608,0.3047976,0.31317255,0.32650688,0.34058788,0.3500532,0.35278106,0.34953678,0.3446728,0.34191382,0.3435849,0.34760568,0.3502393,0.3483552,0.3433038,0.33955476,0.34137884,0.35101366,0.36960474,0.3975598,0.42997518,0.4550414,0.45940802,0.44021866,0.40748444,0.37776098,0.3614119,0.36051166,0.36926484,0.38014045,0.38463143,0.3791286,0.36524114,0.35055467,0.34138414,0.34001446,0.342376,0.34281304,0.33678472,0.32513964,0.31261656,0.30640104,0.31072214,0.32686827,0.3527725,0.38682,0.42335308,0.45321772,0.4633099,0.44962737,0.41908005,0.38804924,0.36734593,0.3588924,0.35653293,0.35444286,0.3495811,0.34222826,0.3337438,0.32551447,0.31883362,0.31598493,0.32031024,0.33318582,0.35081148,0.36450604,0.36678854,0.35694218,0.34097114,0.32633257,0.31665155,0.3115342,0.30831274,0.3052697,0.30194405,0.2996497,0.29911342,0.2998958,0.29989794,0.2982273,0.29599842,0.29577243,0.2985722,0.30317536,0.30762154,0.31110382,0.31463394,0.32105395,0.3353442,0.36292005,0.40171054,0.4385109,0.45249858,0.43447277,0.39406213,0.3561618,0.3390572,0.34654805,0.36842203,0.39248762,0.40902963,0.41384265,0.4075379,0.39482522,0.38123488,0.36986256,0.3613145,0.3547269,0.34965277,0.34577334,0.34351578,0.34371042,0.34686074,0.3533403,0.36424544,0.38304648,0.4096172,0.43589202,0.44507647,0.42619693,0.38366127,0.33724108,0.30597058,0.29653955,0.30244133,0.3125026,0.31916067,0.32020962,0.31734487,0.31279024,0.30834714,0.30582348,0.30783355,0.31649652,0.32999596,0.34188735,0.34486806,0.33768442,0.32628977,0.3187572,0.31783056,0.31995383,0.3204231,0.31843278,0.31748882,0.32089487,0.3289176,0.33847907,0.34625426,0.3506399,0.35245565,0.35320425,0.3534422,0.3517891,0.3467642,0.33873883,0.33087757,0.32834342,0.33635545,0.35968807,0.39619943,0.43562225,0.45947745,0.45683303,0.4300332,0.39479348,0.36508033,0.3471295,0.33978343,0.33877334,0.33907795,0.3346711,0.32340047,0.30719802,0.29224935,0.28334925,0.28337392,0.2915896,0.30426815,0.31463358,0.3173238,0.31283712,0.3083471,0.31231675,0.32958996,0.3601868,0.40020907,0.44062027,0.4675698,0.4693257,0.44620535,0.41201916,0.38382852,0.3695092,0.36582717,0.3651806,0.3629353,0.35838762,0.3526183,0.34651032,0.34033963,0.33496284,0.3325293,0.33724284,0.35105097,0.37145713,0.38997877,0.3996432,0.3982608,0.3901614,0.3797497,0.36933014,0.35840985,0.34695768,0.33599305,0.32765386,0.32387272,0.3258671,0.33296335,0.34242463,0.35039684,0.3541634,0.35359654,0.35075355,0.3482015,0.34756014,0.3487767,0.35151207,0.3570919,0.37016368,0.39384636,0.42305613,0.44222355,0.43631753,0.40565887,0.36792743,0.34532973,0.34636354,0.36520407,0.3880838,0.40598717,0.41572228,0.42232013,0.43336335,0.4517266,0.46940157,0.47127044,0.4503875,0.4128355,0.3741763,0.34455276,0.32710326,0.31975934,0.32162416,0.33308277,0.35534516,0.38950157,0.43079236,0.46748364,0.48276377,0.47003427,0.43715835,0.4028871,0.38017857,0.37023827,0.36594632,0.3604736,0.35252133,0.34360698,0.33670178,0.33153856,0.32781318,0.32476535,0.32610846,0.33392337,0.34719488,0.3572023,0.35663304,0.34369448,0.32547787,0.30987144,0.30133653,0.2989261,0.29995272,0.30181983,0.30344233,0.3057618,0.3115457,0.32362723,0.34131977,0.3607707,0.37657976,0.38665172,0.3909506,0.3911679,0.387604,0.38157937,0.37496343,0.37301183,0.38217822,0.40920463,0.44998896,0.487981,0.49870655,0.47303852,0.42366663,0.377906,0.35367236,0.35307267,0.3671215,0.38700616,0.40515873,0.41554514,0.41408393,0.40146974,0.38172576,0.36000702,0.34142473,0.3307309,0.33104232,0.34116328,0.35596076,0.36939576,0.37841502,0.3846937,0.39427516,0.41504052,0.45006838,0.4906496,0.5177862,0.5153169,0.4840196,0.439815,0.40032282,0.37250292,0.35537317,0.34619224,0.34401008,0.34664086,0.35052598,0.35339642,0.35653576,0.36378884,0.37698492,0.39379665,0.40756202,0.4120889,0.40534243,0.39197686,0.3803524,0.37728587,0.383499,0.39374888,0.4018369,0.40470597,0.40359104,0.40109015,0.39904785,0.3980074,0.3978442,0.39836612,0.39877585,0.3982927,0.39677975,0.39523816,0.3941171,0.39081547,0.38092244,0.3635238,0.34722042,0.34757844,0.3729427,0.41210273,0.43627977,0.42287734,0.37387574,0.3148657,0.27308396,0.2603847,0.27329877,0.30030224,0.32999372,0.35228518,0.3650019,0.37267295,0.38354173,0.39883196,0.412757,0.41709736,0.40951094,0.3940337,0.3773171,0.3646632,0.35805914,0.3584787,0.3676499,0.38959017,0.42530224,0.466645,0.49661008,0.49974498,0.47513473,0.43535635,0.39701322,0.36918148,0.35468307,0.35288677,0.36179078,0.37578574,0.3871499,0.3908104,0.38727036,0.38190532,0.38000354,0.3846313,0.3943683,0.40531635,0.41186428,0.411278,0.40456438,0.39633155,0.3906407,0.3891594,0.39121154,0.39527404,0.3998495,0.4031918,0.40331057,0.39800414,0.38605604,0.3684971,0.34975946,0.3360434,0.3321112,0.33766344,0.34791097,0.3566234,0.360539,0.36065635,0.36273882,0.3744988,0.39993283,0.43065658,0.4471023,0.43168592,0.38726637,0.33629534,0.3046503,0.30143544,0.31975856,0.34537438,0.36774668,0.38011166,0.38188946,0.3777446,0.37595162,0.38127002,0.3920969,0.4027846,0.40893516,0.40955225,0.4057381,0.39835,0.38741097,0.3733305,0.36006466,0.35602903,0.37026954,0.4014392,0.43331334,0.4412674,0.412794,0.355332,0.28995004,0.23240131,0.1879975,0.15662102,0.13992317,0.13950922,0.15191571,0.16906418,0.1829031,0.19001304,0.19132559,0.1902804,0.19000717,0.19149001,0.19224639,0.18824828,0.17811917,0.16533257,0.15598379,0.15249722,0.15209065,0.14877966,0.13911153,0.123265356,0.104781814,0.08809811,0.07694674,0.072731055,0.074410886,0.08124339,0.09396816,0.113941394,0.13845767,0.16119963,0.17534481,0.17911856,0.17516953,0.16770548,0.15893336,0.14932866,0.13881795,0.12781657,0.11653602,0.10461999,0.091207296,0.07622113,0.06073071,0.046612415,0.035233457,0.026943637,0.021266336,0.01758091,0.015662722,0.01626437,0.021741867,0.03589234,0.061620723,0.09720889,0.13436799,0.16151261,0.17069662,0.1629529,0.15032749,0.15328698,0.19510698,0.2845465,0.40224504,0.50064015,0.53682727,0.50228494,0.42989394,0.3624909,0.3243471,0.31333113,0.31612024,0.32188988,0.32584703,0.32705998,0.3259481,0.32412037,0.32312378,0.32410493,0.32616255,0.32706067,0.3237705,0.3159093,0.3055545,0.2963648,0.2897459,0.28505933,0.28066683,0.27659142,0.27380326,0.27312782,0.2735146,0.27335444,0.27179432,0.2699699,0.2695603,0.27141508,0.27503797,0.2795902,0.28468537,0.29011774,0.29534575,0.299564,0.3049609,0.31933385,0.35611972,0.42044115,0.4973587,0.5496462,0.54634887,0.48656034,0.4048461,0.34101507,0.31533346,0.32196394,0.34399775,0.36637247,0.38056037,0.38451537,0.38032928,0.37180066,0.3606292,0.3465077,0.3288941,0.30834413,0.2864742,0.26515803,0.2485819,0.24086465,0.24592952,0.26580045,0.3065621,0.37300268,0.45834425,0.53330237,0.561842,0.52881974,0.4555678,0.38101688,0.33164266,0.30784127,0.29621565,0.28613934,0.2759794,0.26812866,0.26390454,0.26242518,0.2625874,0.26482192,0.27090576,0.28071913,0.2910405,0.2962151,0.29391745,0.28590515,0.27694902,0.26974943,0.26466525,0.2607384,0.2576091,0.2554489,0.25425947,0.25371146,0.25299615,0.25127667,0.24780606,0.24277091,0.23703076,0.23204602,0.22888695,0.228159,0.22977488,0.23301409,0.23863183,0.2517899,0.2843716,0.34570447,0.42900488,0.5030069,0.530142,0.49349847,0.41262543,0.3262254,0.2657144,0.23946159,0.23832677,0.24786802,0.25620875,0.25877464,0.2566475,0.25467917,0.255058,0.25718904,0.25884512,0.2594414,0.2599183,0.26161137,0.2656066,0.27200738,0.28015068,0.29117885,0.3119907,0.35357353,0.4176898,0.48478302,0.51982427,0.50000113,0.43520597,0.36078003,0.30802155,0.2854145,0.2823248,0.28519344,0.28635502,0.28448704,0.28121248,0.27861127,0.27789292,0.27887756,0.28245315,0.28879288,0.297388,0.30363548,0.3047737,0.29984346,0.29239115,0.28433415,0.27695537,0.26991475,0.26378134,0.25881374,0.25529423,0.254455,0.2594873,0.27329698,0.2949534,0.31756592,0.3329232,0.33690786,0.3329865,0.3276982,0.3254335,0.3253026,0.32467005,0.32539427,0.33773756,0.3745954,0.43600294,0.49876204,0.52672946,0.4999775,0.43271276,0.36211646,0.31685805,0.30095255,0.29986274,0.30014935,0.29637048,0.2913667,0.28834584,0.2894794,0.29258502,0.29410097,0.29036084,0.28035483,0.2651756,0.24719083,0.22938542,0.21480529,0.20610155,0.20753886,0.22672176,0.27504233,0.35408315,0.44611952,0.5129323,0.52436155,0.47874594,0.40657058,0.3415321,0.29974443,0.2756532,0.25761148,0.23944561,0.2227502,0.2119916,0.20881027,0.21131404,0.21617866,0.22437988,0.23899722,0.26156417,0.28510955,0.2992669,0.29637584,0.27816302,0.252228,0.22673394,0.20672975,0.19383232,0.18747379,0.18483888,0.18328445,0.182802,0.18728293,0.20039237,0.22124188,0.24389297,0.26252732,0.27533802,0.28455043,0.29321992,0.3039128,0.3181438,0.33799657,0.3665767,0.40936843,0.4659934,0.5230318,0.5518388,0.5289564,0.45502755,0.35960624,0.27907315,0.23451726,0.22348608,0.22960764,0.23867683,0.25015447,0.28033936,0.34365144,0.43285617,0.50865173,0.53008795,0.4844699,0.40128338,0.32213566,0.27367684,0.2564089,0.25988075,0.27660188,0.3072554,0.35772362,0.42769003,0.50320333,0.5540654,0.5549247,0.5027973,0.4243164,0.3524653,0.30635595,0.28291705,0.27020013,0.2592187,0.24834706,0.23935743,0.23357604,0.23125474,0.23268704,0.23985745,0.2547704,0.27679047,0.2997559,0.3148862,0.31609273,0.30447125,0.2866054,0.2694648,0.25676957,0.24899645,0.24546726,0.2454323,0.24754815,0.24961297,0.24832976,0.24139613,0.22892751,0.21540947,0.2076778,0.21119112,0.22592638,0.24607117,0.26470363,0.27778888,0.28843185,0.3053019,0.3422383,0.405085,0.48212528,0.5381036,0.5398597,0.48063728,0.39159286,0.31436777,0.27351955,0.26502514,0.2699356,0.2711687,0.26109216,0.24298729,0.22548133,0.21738595,0.22028227,0.22890489,0.23503636,0.23394273,0.22587864,0.21499734,0.20639855,0.20483477,0.21385078,0.23763289,0.2823187,0.35251737,0.44004858,0.51661795,0.5461132,0.511695,0.4326192,0.34892842,0.291751,0.26556334,0.25805104,0.2561092,0.25479782,0.25345227,0.25214115,0.2502617,0.24861245,0.24924414,0.25468436,0.26414457,0.27401415,0.27852783,0.2760977,0.26843795,0.26030305,0.25383604,0.24962366,0.24685888,0.24547811,0.24545766,0.24653237,0.24824269,0.25004837,0.25166214,0.25301978,0.2547436,0.25771415,0.26284215,0.27024326,0.27945304,0.28903875,0.29714683,0.3030847,0.31079102,0.33046612,0.37227097,0.4344646,0.49549782,0.5256348,0.5079456,0.45380077,0.39149752,0.34674022,0.3264821,0.32359526,0.32583523,0.32518625,0.3198136,0.3121558,0.30586693,0.30153075,0.29772195,0.29209578,0.28514645,0.2791226,0.27664793,0.2781057,0.28189826,0.2859173,0.29122746,0.30329433,0.33082378,0.37473586,0.42269048,0.45011136,0.44072378,0.39782,0.3441814,0.30223826,0.28219855,0.28035215,0.2872695,0.29445708,0.29688478,0.29468653,0.2906247,0.28875947,0.29078948,0.29772377,0.30786785,0.3182195,0.3234074,0.3210641,0.31266364,0.30335256,0.29659662,0.29290023,0.29055616,0.28835464,0.28610802,0.28438446,0.2835674,0.28375873,0.28444234,0.2857335,0.2886788,0.29552242,0.30622903,0.31771162,0.32404533,0.32243216,0.31462753,0.30673954,0.30585828,0.31955945,0.3544369,0.40784314,0.46239725,0.49010673,0.47377384,0.4208828,0.359252,0.31516597,0.2983118,0.30270135,0.31633377,0.32878008,0.3336462,0.3294876,0.31906262,0.30717683,0.29788372,0.29377958,0.29507208,0.30012712,0.30540434,0.3083681,0.30800644,0.30508766,0.30210164,0.304727,0.3215365,0.354396,0.3921087,0.41136548,0.39729893,0.3543395,0.30464092,0.2688409,0.25633642,0.2668321,0.2916464,0.3176904,0.32654116,0.3122208,0.28113544,0.25249717,0.23854409,0.24436994,0.26626778,0.2966579,0.32325706,0.33290684,0.32147613,0.2950165,0.26714557,0.24822201,0.24534763,0.25930452,0.28464928,0.30814075,0.31638157,0.30536544,0.28234932,0.26096323,0.2518917,0.26182786,0.2882938,0.3209523,0.34163222,0.33859146,0.31271127,0.27814552,0.25060922,0.23995654,0.24990948,0.2748699,0.3033484,0.31696704,0.3078157,0.27941528,0.24856944,0.22861505,0.2269154,0.24263434,0.2687156,0.29327503,0.30222258,0.29156005,0.267527,0.24481423,0.23289882,0.23533095,0.24859989,0.26610062,0.2786459,0.27835378,0.2641515,0.24195732,0.22068153,0.20469695,0.19267648,0.18013252,0.16417967,0.14562882,0.1280173,0.11574624,0.11231995,0.119400434,0.13624382,0.15872486,0.18115585,0.19786245,0.20644604,0.20658207,0.19959539,0.1866175,0.17012888,0.15411551,0.14378904,0.14311862,0.15214503,0.16621701,0.17755233,0.18092185,0.17663477,0.17067899,0.16845083,0.1716568,0.1776983,0.18340738,0.18584442,0.18212348,0.16940045,0.14764771,0.12188216,0.10095885,0.09297669,0.10097924,0.12123668,0.144969,0.16205323,0.16654913,0.15953727,0.1480845,0.13918497,0.13600256,0.13718058,0.14041702,0.14400752,0.147754,0.15200794,0.15779415,0.16564985,0.1748973,0.182813,0.18597466,0.18136643,0.16805238,0.1470468,0.12192858,0.09725032,0.07781873,0.06678065,0.066090874,0.075168796,0.0906233,0.105691366,0.1140747,0.11292189,0.10449424,0.09279684,0.081515566,0.07254628,0.06733996,0.0661237,0.06800673,0.07049176,0.07141688,0.07035386,0.07030017,0.07692611,0.09548765,0.12618037,0.16221714,0.19331032,0.21198326,0.21745282,0.21391769,0.20658658,0.19882566,0.19260596,0.18874727,0.18690084,0.18435754,0.17746311,0.1643802,0.14787763,0.13498245,0.13263667,0.14357363,0.16369088,0.18527679,0.20035641,0.20475887,0.19762684,0.18224363,0.16506611,0.15493737,0.15763253,0.1722544,0.19177352,0.20908429,0.2213286,0.2291683,0.23334561,0.23309779,0.22778082,0.21875918,0.20928782,0.20264882,0.20010866,0.20048414,0.20166844,0.20335276,0.20843637,0.22107787,0.24256098,0.269178,0.2941923,0.31246176,0.322587,0.32647756,0.32648042,0.3241605,0.31959856,0.31225336,0.301463,0.2873349,0.27290407,0.26674545,0.28328636,0.33483818,0.41758594,0.5057986,0.5629352,0.5689141,0.5322781,0.48300764,0.44579145,0.4284154,0.4238806,0.4239367,0.42493224,0.4267359,0.43009463,0.43467867,0.44045356,0.4467056,0.45278454,0.45686996,0.45771202,0.45457268,0.4495394,0.44477737,0.44206902,0.43886542,0.4324375,0.42061403,0.40595567,0.3920255,0.38285005,0.38000652,0.3830237,0.38893405,0.39324751,0.39292905,0.38797012,0.38191292,0.37811622,0.37815237,0.3811772,0.38638428,0.3935101,0.4046254,0.42390332,0.45727453,0.5024695,0.54540914,0.561712,0.53887826,0.48411596,0.4235957,0.3791107,0.36053172,0.36381534,0.3813095,0.40416312,0.42460552,0.4370185,0.43938148,0.43367794,0.42368153,0.41338435,0.4048632,0.39813435,0.39210367,0.3863889,0.38185123,0.37986478,0.38238525,0.39345375,0.41916594,0.46160948,0.51157284,0.5499983,0.5615449,0.5484832,0.5273718,0.5152114,0.5153309,0.52169865,0.52629685,0.5275312,0.52728504,0.52874273,0.53302574,0.53979564,0.54744214,0.5542402,0.5584741,0.5589735,0.5550955,0.54777724,0.5393191,0.532414,0.5287613,0.5282797,0.53041065,0.53357935,0.53646034,0.5373194,0.53605986,0.53332996,0.5304571,0.5280721,0.5267937,0.5272744,0.53013116,0.53495,0.5402725,0.54457194,0.54665536,0.54617935,0.54417306,0.5449342,0.5550349,0.57537997,0.5962341,0.59927714,0.57645035,0.5371706,0.50474197,0.4940498,0.5047718,0.52412194,0.5411492,0.5505395,0.5530292,0.5509308,0.5471437,0.54302144,0.53890747,0.53422046,0.52904886,0.5237973,0.51914567,0.5153746,0.51299244,0.51237994,0.51483613,0.52274376,0.5395301,0.56478864,0.5894061,0.5983431,0.5815192,0.5455727,0.5081906,0.48575437,0.4806286,0.48619354,0.49398494,0.5004603,0.50497204,0.50826246,0.5105405,0.5119106,0.512042,0.51129967,0.510153,0.509134,0.5078877,0.50601935,0.5038831,0.5024576,0.502615,0.50377804,0.50468326,0.50391304,0.5011987,0.49716392,0.4929026,0.48911107,0.48568735,0.48210844,0.47820553,0.47466692,0.47277948,0.4734919,0.47685838,0.48202696,0.48759794,0.4921082,0.49555898,0.50133497,0.5158627,0.54169685,0.57032305,0.5841351,0.5710774,0.53793854,0.50496274,0.4891907,0.49109945,0.5015324,0.51149076,0.51921624,0.52515817,0.53048366,0.53465515,0.5374997,0.53770465,0.5351262,0.53091073,0.5279588,0.5282072,0.5313296,0.5353152,0.5377113,0.5373988,0.53591853,0.5382059,0.5496312,0.56784207,0.5809758,0.57271165,0.5382717,0.48688638,0.43682244,0.39993057,0.37921545,0.37084913,0.37069717,0.37533268,0.3823382,0.39075586,0.4005901,0.41196153,0.42306423,0.43191555,0.43677878,0.43834463,0.4374328,0.43559518,0.43261245,0.42756775,0.41871166,0.40671408,0.39581367,0.3917655,0.3976841,0.4111961,0.4272002,0.44080672,0.4494801,0.45095134,0.44355544,0.42626527,0.4015106,0.37369063,0.34919038,0.3332096,0.32942495,0.33832565,0.35960308,0.3937962,0.44116926,0.49445057,0.5361595,0.5462528,0.5188928,0.46744132,0.41569856,0.38028607,0.36548665,0.3656907,0.3742815,0.38721934,0.40748206,0.44064093,0.48524192,0.5243819,0.5337529,0.5042306,0.45139885,0.40433085,0.3792864,0.3731927,0.37370482,0.37590674,0.3849906,0.40921667,0.4521449,0.5056313,0.5513306,0.56670785,0.54348594,0.49448666,0.44774663,0.42415404,0.42592406,0.44026887,0.45267853,0.45564723,0.44858253,0.4361395,0.42468596,0.4196122,0.42141333,0.42714098,0.4333508,0.43985334,0.44717917,0.45434737,0.45677736,0.44981536,0.43200314,0.40750825,0.3843255,0.36934653,0.36473653,0.36686647,0.37164104,0.37731895,0.38603845,0.3978552,0.40968087,0.41558066,0.41403022,0.40863705,0.40580857,0.4074538,0.40932333,0.40544465,0.39637974,0.39295712,0.40986875,0.45001635,0.49676117,0.52020067,0.50250316,0.44946656,0.3879067,0.34224918,0.32411483,0.32954136,0.34808362,0.36749855,0.37932834,0.3812938,0.3769009,0.37210885,0.3714476,0.37728128,0.38776425,0.3977323,0.4007772,0.39565155,0.38807654,0.38644686,0.39615142,0.41705477,0.4485818,0.48701343,0.52508074,0.5489084,0.551615,0.5379594,0.52382404,0.52002543,0.52707964,0.53747696,0.545286,0.54871947,0.54920644,0.5483568,0.547679,0.54761785,0.548004,0.5475028,0.54502136,0.54056305,0.5360082,0.53405595,0.5364818,0.54273754,0.55074096,0.557647,0.5616792,0.5612926,0.5563503,0.54738194,0.53664833,0.5264523,0.5184969,0.51321787,0.51067466,0.511086,0.51413774,0.5183366,0.5210987,0.5207686,0.5177739,0.5147087,0.5155346,0.5246282,0.5455679,0.5743797,0.598386,0.5997924,0.57379156,0.5326004,0.49998868,0.48958588,0.5002752,0.5196278,0.53738195,0.5475479,0.54959226,0.5451081,0.538815,0.53520846,0.5369976,0.5423247,0.54684454,0.5462339,0.53944427,0.5287675,0.51882005,0.5136442,0.51583743,0.5258984,0.5433281,0.5651161,0.583159,0.58671904,0.5687786,0.53562564,0.5015169,0.48002663,0.47254798,0.47334674,0.47544488,0.47678176,0.47756687,0.47827658,0.47869304,0.4784735,0.47753885,0.4762515,0.47573617,0.47747788,0.48176658,0.48718464,0.4916396,0.4945568,0.4971726,0.50059223,0.5038819,0.5042562,0.4995389,0.49019024,0.47920278,0.4705223,0.4669341,0.46950305,0.47729373,0.4883921,0.5003802,0.51113,0.51853687,0.52100635,0.51812035,0.5122157,0.50832754,0.5131518,0.5317187,0.56270236,0.59449893,0.60819274,0.5895804,0.542097,0.48651135,0.44711128,0.43499684,0.44584945,0.46712676,0.48914552,0.5071705,0.52107614,0.5313497,0.53861564,0.542495,0.542934,0.5402612,0.53539133,0.52949405,0.5238312,0.5204616,0.52132326,0.5280456,0.54118514,0.5607005,0.58459806,0.6052138,0.6107714,0.5905883,0.54679966,0.49236593,0.44460154,0.4118153,0.39388946,0.38528025,0.38094702,0.3762715,0.368381,0.35701558,0.34490442,0.33512616,0.32953122,0.32931253,0.33438766,0.34298673,0.35038224,0.3550365,0.36002126,0.37102202,0.38719848,0.4008366,0.40466794,0.39986232,0.39409992,0.39294842,0.39505172,0.39473712,0.38749194,0.37221086,0.3509005,0.3274268,0.30750263,0.29752752,0.30209926,0.3208656,0.34711632,0.3729037,0.39525935,0.4205513,0.4563198,0.50021905,0.5357098,0.5435567,0.5195047,0.47698998,0.437446,0.41270435,0.4038539,0.4028957,0.40157568,0.39187953,0.37194553,0.34560874,0.32121554,0.30447352,0.29649994,0.29616413,0.30267668,0.31526783,0.32969144,0.3401278,0.3423301,0.33733153,0.32870314,0.3192589,0.3087723,0.29618332,0.2811263,0.26451024,0.24606828,0.22463971,0.19922455,0.172252,0.14852755,0.13261376,0.124887586,0.121841885,0.118675746,0.11276216,0.10446212,0.096046515,0.08989209,0.08745738,0.08893364,0.09317839,0.09808135,0.101400845,0.10184129,0.09930855,0.09455403,0.08851132,0.082393624,0.0775088,0.07500917,0.074953906,0.076461725,0.07822255,0.07952254,0.080239356,0.08046991,0.08003741,0.078548245,0.07588165,0.0725738,0.06979767,0.06859058,0.06911781,0.07063815,0.07234377,0.07417368,0.07652313,0.079641975,0.083166204,0.08675936,0.09014377,0.09316165,0.095249094,0.09603527,0.09544709,0.09402177,0.09229964,0.09093172,0.090440504,0.091189705,0.09298166,0.09504052,0.09654931,0.09695477,0.0964384,0.095467694,0.09490659,0.09522453,0.09652131,0.098184444,0.09970399,0.10097823,0.10252836,0.10481694,0.107697636,0.11026079,0.11132509,0.110251926,0.10747868,0.104328625,0.10220765,0.10167045,0.10245713,0.10394738,0.10593513,0.10819739,0.11045588,0.11239191,0.114816666,0.11905661,0.12566765,0.13277937,0.1373062,0.13705146,0.13216633,0.12451986,0.11660995,0.11110196,0.109963395,0.1133628,0.118901424,0.12335026,0.12479072,0.12377768,0.12160575,0.11885456,0.114857316,0.10926306,0.102673054,0.096567266,0.09243531,0.09136301,0.094026424,0.099814825,0.10688627,0.1126926,0.1163817,0.11914951,0.12277979,0.1274107,0.131108,0.13234204,0.13120371,0.1301919,0.1314791,0.13600145,0.14207964,0.14767127,0.15136378,0.15345448,0.154323,0.15362136,0.15047193,0.1447408,0.13813789,0.13333376,0.13284701,0.13726722,0.1451145,0.15332913,0.15867238,0.15916233,0.15449725,0.14601983,0.13566862,0.1254213,0.11657176,0.109624624,0.1045053,0.101235084,0.10038672,0.102752306,0.108584546,0.11694311,0.12578297,0.13259834,0.13538872,0.13373378,0.1288013,0.122896165,0.11794785,0.11523052,0.11476424,0.11575866,0.116877876,0.1174693,0.11821177,0.12000427,0.12266272,0.12427587,0.12360456,0.12112685,0.1191563,0.119379014,0.12239083,0.12770773,0.13445067,0.1405415,0.14280508,0.1387523,0.12913167,0.118145965,0.110564105,0.108507134,0.11067643,0.11429524,0.11732108,0.11972469,0.12333826,0.13088942,0.14348054,0.15874475,0.170587,0.17319681,0.16470368,0.14907373,0.13267429,0.12056992,0.11407449,0.11197717,0.11269475,0.11553115,0.12040392,0.12604822,0.13037816,0.13169838,0.13223523,0.13572133,0.14432323,0.15359716,0.15705015,0.15072964,0.1378388,0.12441809,0.11526886,0.110989116,0.10963867,0.10869961,0.10665652,0.10342937,0.0999384,0.09709593,0.094929375,0.09281533,0.0904619,0.08868397,0.0888493,0.09159174,0.095870756,0.099518925,0.10074452,0.099393584,0.09696726,0.095588125,0.0968278,0.10154393,0.11038461,0.124211155,0.14210413,0.15988034,0.17024332,0.16813944,0.15412794,0.13485537,0.11773619,0.10755455,0.10499632,0.10810333,0.11385728,0.1197988,0.12573308,0.13267516,0.14121361,0.14906846,0.15316333,0.15132384,0.1443836,0.13442877,0.12421364,0.115986295,0.11136758,0.11052114,0.112300076,0.115593635,0.1197431,0.124536216,0.12879592,0.13144445,0.13183843,0.1307165,0.12886144,0.12695037,0.12527145,0.123988636,0.12300584,0.1220401,0.12169817,0.123151936,0.12738492,0.13321078,0.13840394,0.14105,0.14114708,0.13925551,0.13572697,0.13071601,0.12516801,0.1205546,0.11762303,0.11572672,0.113407664,0.10974405,0.105085514,0.10086274,0.098644614,0.0991857,0.10209805,0.10626685,0.11054026,0.1141122,0.116733335,0.11896924,0.12226086,0.12802082,0.1362591,0.14506255,0.15186787,0.15514703,0.15491097,0.15182666,0.14644428,0.13944203,0.13191874,0.12516668,0.119768865,0.11560839,0.11232609,0.10988787,0.108373284,0.107566245,0.10706306,0.106416695,0.10542696,0.1038804,0.10171675,0.09894804,0.09584368,0.09284565,0.09072777,0.09018248,0.09128386,0.09300214,0.093909435,0.09317518,0.091144174,0.08872714,0.086605944,0.08485804,0.08323499,0.08158564,0.08034264,0.08084968,0.08509263,0.0944897,0.10884913,0.12682556,0.14806521,0.17354238,0.20363687,0.23474164,0.26036617,0.27467194,0.2765474,0.2689501,0.2563763,0.24244167,0.22933926,0.21836786,0.2101742,0.20575942,0.20601486,0.21160291,0.22101177,0.2317378,0.24082935,0.24740474,0.25145355,0.25348076,0.2527284,0.24779816,0.23725982,0.22110403,0.20124821,0.18078315,0.16286202,0.15015809,0.14562605,0.15187621,0.16898803,0.19196655,0.2120543,0.2214436,0.21794194,0.20542818,0.19027118,0.17737816,0.16840935,0.16267025,0.1587962,0.15601647,0.15437974,0.15416825,0.15544562,0.15782173,0.1608364,0.16392593,0.16685015,0.16977257,0.17374398,0.17954224,0.18660681,0.19298662,0.19821335,0.20595986,0.22237958,0.25090036,0.28770748,0.32374707,0.34957743,0.35971233,0.35254392,0.33023217,0.29761347,0.26245317,0.23241813,0.21457498,0.21230067,0.22521774,0.24669145,0.2677488,0.28142884,0.28759506,0.2900299,0.29145205,0.2911652,0.28818235,0.28483632,0.28458503,0.28793496,0.28992224,0.2851244,0.27191475,0.2543334,0.2376482,0.22510187,0.21659648,0.21059716,0.2056799,0.20135461,0.19761316,0.19438009,0.19106464,0.18707274,0.18242566,0.17780483,0.17392264,0.17082858,0.1680715,0.16513461,0.16173978,0.1579852,0.15416092,0.15106396,0.14954866,0.15053506,0.15396988,0.15896046,0.16367598,0.16672145,0.16751514,0.16656338,0.16449024,0.1617163,0.15827405,0.15430127,0.14997603,0.145465,0.14061809,0.13520859,0.12935732,0.12387556,0.12031015,0.120129645,0.12385061,0.13027458,0.13706852,0.1420836,0.14441349,0.14479308,0.14502938,0.14757459,0.15373099,0.16257633,0.17154814,0.17974854,0.19046049,0.20803793,0.23371792,0.26188645,0.28486118,0.29568854,0.29284203,0.27890384,0.26219627,0.2523563,0.25609347,0.271269,0.28966832,0.30217275,0.30450916,0.29659036,0.28167513,0.2652006,0.25381827,0.25206187,0.25924864,0.27171224,0.28661934,0.30455706,0.3250897,0.34343,0.35090184,0.3411729,0.31502932,0.2797861,0.24497007,0.21671928,0.19720018,0.18590568,0.1840976,0.19340388,0.21311344,0.23574793,0.25140342,0.25460497,0.249794,0.24672614,0.2519774,0.26414254,0.27660903,0.28366515,0.28279993,0.2735659,0.2562659,0.23326825,0.2108183,0.19736171,0.19893278,0.2150069,0.23818238,0.2587605,0.26887736,0.2661784,0.25258508,0.23439814,0.21947406,0.21551181,0.22475995,0.24273603,0.2600942,0.269634,0.2701861,0.26595652,0.26171494,0.25952625,0.25961864,0.2623141,0.26882505,0.27833572,0.28736177,0.29097423,0.28797796,0.28166866,0.2788136,0.28298536,0.29268935,0.3004754,0.29935458,0.2863259,0.26497272,0.24210487,0.22383155,0.21257068,0.20614947,0.201041,0.1956247,0.19414039,0.20221055,0.22147004,0.24391198,0.2590154,0.26145896,0.25642624,0.25182763,0.25079694,0.24900694,0.24063899,0.22450006,0.2056102,0.19273911,0.19258147,0.20596887,0.22604166,0.24370615,0.25264528,0.25379285,0.25189343,0.2532828,0.261241,0.27666417,0.29589188,0.3140122,0.32571518,0.32934847,0.32572892,0.31728828,0.3055069,0.29060543,0.27270034,0.252378,0.23166113,0.21237348,0.19645971,0.18440102,0.17608725,0.17027728,0.16622551,0.16418189,0.16578962,0.17308249,0.18620992,0.20244898,0.21653275,0.22514594,0.22972973,0.23673676,0.25203058,0.27633712,0.30413687,0.32802376,0.342934,0.3480471,0.3450004,0.3363507,0.32416454,0.3104736,0.29639742,0.28241783,0.26765352,0.2515655,0.23424171,0.21713956,0.2008444,0.18541951,0.17146997,0.16377318,0.16856937,0.18852071,0.21684615,0.24172515,0.25446582,0.2560571,0.25395942,0.25462532,0.2593707,0.2652922,0.26984605,0.2715522,0.26993194,0.26321712,0.25021222,0.2324189,0.21636331,0.21119428,0.22274722,0.2487231,0.27860728,0.30092072,0.3096125,0.3065829,0.29685795,0.28431347,0.27032134,0.25606737,0.24392235,0.23659681,0.23549475,0.23945634,0.24497755,0.24725181,0.24270071,0.23092036,0.21576554,0.20378838,0.20234652,0.21497332,0.23886104,0.26346806,0.27737418,0.2743186,0.2576436,0.23582447,0.2178482,0.2096029,0.2134793,0.22815149,0.24882454,0.26976407,0.28673854,0.29856715,0.30563843,0.30925712,0.31060144,0.3106068,0.30880234,0.3038852,0.2949007,0.28250447,0.26826045,0.2538123,0.24013573,0.22827525,0.2189399,0.21285488,0.21000366,0.20977575,0.21054165,0.21011908,0.20699261,0.20105441,0.19378553,0.18684857,0.1815449,0.17854007,0.17843162,0.18163353,0.18826894,0.19800198,0.21023422,0.22368704,0.23662925,0.24758859,0.25714776,0.2672662,0.2793779,0.29163072,0.3005108,0.30327246,0.30100492,0.29691622,0.2943635,0.29426375,0.29573235,0.29726085,0.29809037,0.2979615,0.2964774,0.29288033,0.28700545,0.27994558,0.27352837,0.26923692,0.2672123,0.26736593,0.26973453,0.27466893,0.2808133,0.28499886,0.28388354,0.27703074,0.26729575,0.2586541,0.25311744,0.25047788,0.2513328,0.25926635,0.28088817,0.3157995,0.35460988,0.37822232,0.37760964,0.35607612,0.33134964,0.31727588,0.32204488,0.34424368,0.37548742,0.401955,0.41005144,0.3986169,0.37581876,0.35507998,0.34311196,0.34478855,0.36045852,0.38456154,0.40180078,0.39721438,0.36966753,0.33257505,0.30464008,0.2964036,0.31137073,0.34283927,0.37824568,0.39868057,0.3956912,0.37426856,0.35145077,0.34023726,0.34578976,0.36691412,0.3957766,0.41996136,0.42397094,0.40573952,0.37488282,0.34969103,0.3401309,0.34982124,0.37448612,0.404554,0.42436752,0.42060736,0.3934203,0.35570118,0.3250581,0.3124399,0.32297155,0.35257506,0.38911507,0.4121839,0.4091011,0.38199508,0.34792984,0.32385585,0.31947443,0.33603802,0.36515066,0.3923976,0.40063325,0.3871479,0.36097324,0.33886006,0.32834873,0.33145308,0.34521827,0.36354947,0.37452134,0.36559892,0.33599505,0.29697454,0.26607323,0.25410327,0.26536456,0.2938831,0.3259572,0.34144357,0.32988486,0.2970427,0.26252005,0.24293779,0.24512847,0.26733074,0.30107114,0.3332025,0.34680358,0.33580735,0.3057517,0.27385077,0.25352657,0.2544668,0.2775869,0.31524733,0.3497188,0.36201242,0.34642646,0.31197074,0.27789226,0.25869048,0.2641656,0.29095912,0.3273398,0.3534707,0.36115673,0.35603845,0.35147834,0.35183954,0.35272172,0.3546029,0.362638,0.38182938,0.4031837,0.41881025,0.4239649,0.42363596,0.41735935,0.40559074,0.39004073,0.378942,0.3764383,0.37944934,0.38000205,0.37302008,0.35978416,0.34437856,0.33087012,0.32061118,0.31488517,0.3144811,0.32066822,0.33230373,0.34662953,0.36146274,0.37910023,0.40667212,0.44721797,0.493564,0.52745384,0.53565437,0.5187208,0.49170575,0.4690145,0.4565705,0.45113763,0.44727567,0.44161525,0.4338993,0.42632964,0.420321,0.41558555,0.4094765,0.40178248,0.39365637,0.387802,0.38330176,0.37937796,0.37461507,0.37051165,0.3676039,0.36813784,0.37405768,0.3875606,0.40622345,0.4240829,0.43412313,0.43418673,0.4268308,0.41753995,0.40979937,0.4047856,0.40041986,0.39516234,0.38883498,0.3853424,0.38840854,0.40028444,0.4195051,0.44565204,0.47782293,0.5119223,0.53644866,0.5392663,0.5175538,0.48163748,0.44748497,0.42590356,0.41918847,0.42309523,0.43088964,0.43523157,0.4318813,0.42187288,0.4110823,0.40504822,0.4048886,0.40635836,0.40403453,0.39504075,0.3824084,0.3723458,0.37167096,0.38309002,0.40623653,0.43890724,0.47807774,0.5175772,0.5467964,0.55627376,0.5447027,0.52194506,0.50108856,0.48973826,0.48571,0.4818188,0.47212234,0.4566035,0.44020677,0.42844144,0.42259443,0.419404,0.41515455,0.40945613,0.40463123,0.40219972,0.4009603,0.3988422,0.3949888,0.39067534,0.3875573,0.3871378,0.38967478,0.39468977,0.40047172,0.40529117,0.40756485,0.40704462,0.4044055,0.4014547,0.39977506,0.3999547,0.40132448,0.4027456,0.40385365,0.40454236,0.40494743,0.40599838,0.41168037,0.42837527,0.45799437,0.49187908,0.5121257,0.5063929,0.47832105,0.4456886,0.42519364,0.4219525,0.43107677,0.44404045,0.45436645,0.45754918,0.4531922,0.44436467,0.43611872,0.4313327,0.4292071,0.4266745,0.421536,0.41435778,0.4084401,0.40682247,0.4097751,0.4153824,0.42300567,0.4364754,0.45711365,0.4793538,0.48821536,0.47565654,0.44663155,0.41964778,0.4080539,0.41347882,0.4265461,0.43845877,0.44550383,0.44865122,0.44969198,0.4495721,0.44856933,0.4471872,0.44645858,0.4465939,0.44690046,0.44604495,0.4449899,0.44624114,0.45187747,0.45998988,0.46609995,0.4668416,0.4631913,0.45873865,0.45661494,0.45714474,0.4591501,0.4610466,0.46196213,0.46157897,0.4599379,0.45727584,0.45361426,0.44938055,0.44533738,0.442369,0.44150248,0.44512784,0.45785308,0.48245344,0.5133008,0.5358729,0.5355956,0.5115679,0.47608617,0.44617286,0.42920193,0.42401874,0.4238292,0.42461136,0.42423308,0.42418337,0.4257795,0.42993233,0.43494204,0.4388092,0.44010922,0.4384301,0.43330407,0.42472684,0.4145569,0.40661195,0.40472117,0.4117223,0.42924523,0.45692,0.48740077,0.50721854,0.5033256,0.47669312,0.44091678,0.4135375,0.40067157,0.39850906,0.3986843,0.39750448,0.39492345,0.39300457,0.39225754,0.39229453,0.39227983,0.3932763,0.3974006,0.40626046,0.41855395,0.4308318,0.44038573,0.44643974,0.4498267,0.45028535,0.44724894,0.44032705,0.43059292,0.4195976,0.4086833,0.3995993,0.39362285,0.3918049,0.39257059,0.39417434,0.3948264,0.3955522,0.39769006,0.40231797,0.4081808,0.41361603,0.41912556,0.42860076,0.4468864,0.4720316,0.49414495,0.499444,0.48424253,0.4566752,0.43221462,0.41946438,0.41849205,0.42299342,0.42750493,0.42812034,0.42406705,0.41677037,0.40976155,0.40518335,0.40306738,0.40129972,0.397743,0.39168727,0.38430512,0.37945113,0.3806074,0.38982984,0.40617087,0.42903352,0.45861912,0.49158475,0.5183634,0.52464145,0.50533503,0.4678389,0.4298047,0.4034015,0.3918041,0.38962844,0.39097393,0.39098954,0.38814306,0.38275445,0.37772343,0.37473646,0.37489927,0.37749085,0.3825504,0.38885474,0.39415297,0.39590588,0.39367965,0.389539,0.38530198,0.38131008,0.3767425,0.37162444,0.367283,0.36567768,0.36873904,0.37683034,0.3882397,0.39947185,0.40809858,0.4140358,0.4181185,0.41960227,0.41608608,0.40718088,0.3953222,0.3856505,0.3829732,0.39297172,0.4177259,0.45101985,0.4764346,0.47760376,0.45290422,0.41604698,0.38701442,0.37568462,0.38190433,0.39656496,0.4110827,0.41801444,0.41597843,0.40617082,0.39222667,0.3761663,0.36095464,0.35011852,0.34779528,0.3553828,0.3705264,0.38876894,0.4059404,0.42057368,0.43422338,0.45108822,0.47361135,0.49688292,0.50901467,0.49938628,0.4699959,0.4332006,0.40317276,0.38498822,0.37788948,0.3784772,0.38502827,0.39449325,0.40343186,0.40861404,0.4098557,0.40922895,0.4096115,0.4117526,0.4139378,0.41357675,0.4102807,0.40699998,0.4077983,0.4143918,0.4241031,0.43249846,0.4370221,0.43915966,0.44174027,0.44601962,0.45034125,0.45265278,0.45193696,0.44900903,0.44468805,0.44001582,0.4355898,0.4316796,0.4270966,0.4195106,0.40872696,0.39939332,0.40126875,0.42125264,0.4543735,0.4827573,0.48696223,0.46307036,0.42422488,0.39040795,0.3716822,0.36747038,0.37135193,0.37891138,0.38672128,0.3932645,0.39800897,0.40290582,0.4084336,0.41290048,0.4118315,0.40262857,0.3866079,0.36962202,0.35827002,0.35566965,0.3599848,0.36838844,0.38157383,0.4048008,0.43809402,0.47253108,0.49038824,0.48257795,0.45266291,0.4171464,0.38933575,0.37587476,0.3746649,0.38150135,0.39073184,0.3981417,0.40151,0.40238693,0.40424705,0.41002873,0.41957405,0.42895675,0.43330798,0.42973718,0.42084217,0.41169962,0.4070669,0.40713271,0.4098967,0.41264465,0.414386,0.41487646,0.4145695,0.41382623,0.4121145,0.40819445,0.4012135,0.39322352,0.38802624,0.38910043,0.3961896,0.40629086,0.4153658,0.42129314,0.42475554,0.42993793,0.44243386,0.46342573,0.48414472,0.48862812,0.46712962,0.42715117,0.38917089,0.37017402,0.37182364,0.38393936,0.3953979,0.401117,0.4016973,0.3998041,0.39796948,0.39688167,0.396387,0.39588082,0.3953279,0.3942449,0.39166975,0.38715842,0.38124776,0.37555358,0.37245348,0.37609586,0.3925353,0.4229678,0.4595389,0.48416197,0.48407665,0.45992187,0.4276512,0.40390778,0.39771238,0.40864798,0.4291875,0.44967183,0.4599491,0.45856118,0.44978175,0.4426813,0.44063082,0.4442751,0.4504081,0.45672464,0.45972753,0.4580761,0.45266,0.4469563,0.44391072,0.4453286,0.45211336,0.4634975,0.47535992,0.48085484,0.47575867,0.4621055,0.44619465,0.43403625,0.4286228,0.43287465,0.44600654,0.46372843,0.47496176,0.4735427,0.45859274,0.43881607,0.4226186,0.41912618,0.43092325,0.45277038,0.47056344,0.47106338,0.45319375,0.42723,0.4076647,0.40100136,0.40719774,0.41922876,0.43015906,0.43339005,0.42964813,0.4232315,0.42022315,0.42162967,0.42661342,0.43373278,0.44149348,0.44665408,0.44455382,0.43456146,0.41942903,0.40536657,0.3982462,0.40486446,0.4292266,0.46529564,0.49588004,0.49973807,0.47106972,0.4218496,0.37627122,0.34958658,0.34503934,0.35390186,0.36766315,0.37942204,0.3875203,0.39192197,0.39407387,0.3945141,0.39370838,0.39324114,0.3941168,0.39615217,0.39578232,0.39118958,0.38263777,0.3743123,0.36886385,0.36757123,0.368783,0.37092412,0.37187168,0.37150705,0.3706008,0.37125823,0.37260088,0.37317804,0.37126207,0.36979866,0.3710744,0.3763524,0.382339,0.38688827,0.38821778,0.38832125,0.39108562,0.4040976,0.42881513,0.45677796,0.46880758,0.45497537,0.42256132,0.39430487,0.385496,0.3954266,0.40966782,0.4157655,0.40963766,0.39603725,0.38217533,0.37343553,0.37096575,0.37236163,0.37507305,0.37709084,0.3783785,0.37793764,0.37597987,0.37222752,0.3677355,0.3638766,0.36510956,0.37917733,0.4102659,0.45256624,0.4887615,0.5051261,0.5017693,0.49246946,0.4903843,0.49802613,0.510251,0.5208323,0.5284321,0.53368825,0.5377838,0.5405803,0.5415792,0.5407589,0.53854483,0.5352257,0.53054816,0.5245519,0.5191869,0.5170998,0.5195179,0.52429223,0.52776146,0.52786595,0.52535456,0.52274853,0.5218511,0.52304435,0.52542615,0.52776694,0.52932495,0.53025407,0.53108156,0.53206724,0.532527,0.53204435,0.5307831,0.52939767,0.52830505,0.5278961,0.5293345,0.53265053,0.53388554,0.5272077,0.5100497,0.49012282,0.47815183,0.48147306,0.4959396,0.5138374,0.5278175,0.53594685,0.53806883,0.5363507,0.5333181,0.5321898,0.5337486,0.5372601,0.5405896,0.5429645,0.5442677,0.5452911,0.5461347,0.5466499,0.5462951,0.546108,0.54749894,0.5504775,0.5486458,0.534543,0.50637454,0.4771972,0.46398255,0.47594145,0.5039921,0.5321207,0.5485913,0.5535016,0.5527802,0.55218714,0.55418366,0.5592623,0.5671544,0.57632256,0.5833816,0.58446276,0.5785265,0.56936735,0.56295174,0.56305027,0.56830907,0.5753591,0.58188,0.5885264,0.59609336,0.6040453,0.6101718,0.6123906,0.6099544,0.6036579,0.5956685,0.58854604,0.58424515,0.5832782,0.5846655,0.5869128,0.5882388,0.5869884,0.58252317,0.5765283,0.5733425,0.574425,0.57564825,0.5677321,0.5479745,0.5241659,0.511357,0.517323,0.5374364,0.55805874,0.56810814,0.5648636,0.5543728,0.5449851,0.5424607,0.54696155,0.555682,0.5649128,0.5720749,0.5752921,0.5741305,0.56951314,0.5632999,0.55737007,0.55382246,0.5552705,0.56315166,0.5728097,0.57384175,0.5554525,0.5187089,0.4759159,0.4430294,0.42548132,0.41822556,0.41256237,0.40451518,0.39552584,0.38812944,0.3838944,0.38217643,0.3823434,0.383482,0.38587645,0.38904408,0.3921442,0.39267543,0.38970622,0.38339972,0.3760974,0.3691579,0.36431456,0.36360636,0.37025806,0.3859924,0.40842476,0.43142155,0.44806495,0.45547548,0.45544064,0.45246997,0.4492612,0.44550893,0.43903077,0.42932963,0.41797063,0.40792978,0.40136555,0.40097967,0.41040012,0.43132415,0.45830047,0.4774876,0.4763384,0.45322958,0.41983458,0.39081588,0.37475345,0.37167788,0.37683263,0.38433918,0.3890973,0.38894555,0.38438034,0.37767884,0.37022114,0.36338437,0.35819975,0.35553133,0.3551203,0.35652196,0.36036202,0.3669077,0.3760177,0.3877083,0.4053222,0.43119875,0.46058,0.47934675,0.4753387,0.4504701,0.42122748,0.40457785,0.40531877,0.41604474,0.42626795,0.42933938,0.42332712,0.4093299,0.39082453,0.37295416,0.36066046,0.35724953,0.36255085,0.37407842,0.38676786,0.39693287,0.40207002,0.40288988,0.40023848,0.3959951,0.39117393,0.38678035,0.38274804,0.37928426,0.3775225,0.37887073,0.38369343,0.39004508,0.3957286,0.39923176,0.4005394,0.3998206,0.39751768,0.39505148,0.3943946,0.39722928,0.40461263,0.41838846,0.44078696,0.4681234,0.4893422,0.48954526,0.465317,0.4260265,0.3897014,0.36745796,0.36240485,0.3696154,0.38302502,0.39577904,0.40399757,0.40609738,0.40351352,0.39791217,0.39180025,0.38700965,0.38478008,0.38448164,0.3855839,0.3880123,0.39228392,0.39812163,0.40648103,0.42066693,0.44491044,0.4770393,0.5069797,0.5216322,0.5176423,0.50256926,0.48913732,0.4831793,0.48318568,0.48438546,0.48445594,0.4835544,0.4823184,0.48111573,0.48020074,0.4802023,0.48130834,0.4828314,0.48332012,0.48220146,0.47999498,0.47847524,0.4782927,0.479555,0.4813906,0.48420295,0.4884708,0.4949371,0.5027214,0.5105698,0.5166268,0.5201755,0.5209338,0.5199519,0.5187157,0.5186929,0.51992816,0.5206937,0.51921743,0.51527554,0.5103741,0.50661796,0.5054028,0.5086505,0.51514715,0.5208092,0.5183153,0.5073867,0.49506688,0.49176717,0.4991711,0.51050216,0.5171471,0.51657903,0.5120475,0.5079944,0.50687855,0.50859666,0.511854,0.5151695,0.5177901,0.51995414,0.52220106,0.524796,0.5268094,0.5267758,0.5233342,0.51547354,0.5013322,0.47637415,0.4358827,0.37946615,0.31543696,0.2569218,0.21410193,0.18857877,0.17495847,0.1672704,0.1627696,0.16316515,0.1717338,0.19092627,0.21935268,0.25139335,0.27888826,0.29406625,0.2928371,0.27596685,0.24958837,0.22220485,0.2016778,0.19282216,0.19667877,0.21083091,0.22796781,0.23938878,0.23905134,0.23022085,0.22291464,0.22722793,0.24420242,0.2645752,0.27502868,0.26676032,0.24021943,0.20268619,0.16357052,0.12982446,0.104748696,0.08820551,0.07849089,0.07408411,0.07552248,0.08499905,0.10366271,0.12829478,0.15190868,0.16910702,0.18045114,0.19104576,0.20414744,0.21796203,0.22785564,0.23124026,0.22897792,0.22352819,0.2163621,0.20754045,0.19703488,0.18630679,0.17848484,0.17651154,0.1807316,0.18789649,0.1929149,0.1913168,0.18085186,0.16160655,0.13639449,0.11053479,0.09020105,0.0788747,0.07557579,0.076122284,0.07666573,0.07609805,0.07638807,0.081691585,0.09575302,0.11886916,0.14536434,0.16617052,0.17411548,0.16831975,0.15264334,0.13170232,0.108421154,0.0851146,0.06448134,0.0488916,0.03886524,0.033041883,0.029484354,0.02684568,0.024682663,0.023027048,0.022001794,0.021543697,0.021442557,0.021435661,0.021334961,0.021015583,0.020414338,0.019513715,0.018400395,0.017239476,0.016214555,0.015423399,0.01483553,0.014335223,0.013802907,0.013199449,0.012565649,0.011976979,0.011468581,0.011017851,0.010569821,0.010083607,0.009629514,0.009474117,0.010189096,0.012376594,0.016310273,0.021417983,0.026524886,0.030320844,0.032174926,0.032223165,0.031186866,0.02976741,0.028384415,0.027084986,0.025797809,0.02450444,0.023325006,0.022565676,0.022958012,0.0260758,0.033897817,0.047586273,0.0657641,0.08465131,0.09967484,0.10796747,0.10930107,0.10562605,0.09962841,0.09348761,0.0886856,0.08737063,0.09406125,0.11522752,0.15444513,0.20798178,0.2642133,0.3108556,0.34108508,0.35612848,0.3608835,0.36011863,0.35642138,0.349946,0.33890617,0.31927964,0.2886652,0.24807037,0.20486106,0.16802168,0.14629453,0.14299919,0.15695119,0.18085556,0.2054293,0.22162928,0.22461422,0.21385203,0.19397356,0.17365567,0.16274887,0.16653134,0.1825667,0.20228736,0.21709156,0.2221924,0.21773519,0.20638227,0.1919295,0.17746721,0.16465329,0.15305899,0.1412548,0.12812683,0.113777004,0.09908386,0.08512821,0.072789535,0.06274214,0.055311505,0.05037575,0.047495898,0.04667114,0.04917295,0.058024038,0.075876564,0.10225793,0.13127075,0.15452822,0.16541786,0.16279016,0.14946724,0.12956442,0.10652638,0.08366972,0.06499711,0.054765556,0.055609107,0.06621945,0.080854595,0.09249859,0.09826819,0.102656834,0.11343294,0.13429414,0.1601134,0.18207407,0.19422178,0.19752167,0.1951071,0.18933122,0.1798241,0.16699207,0.1517738,0.1365291,0.12250038,0.11094764,0.10175786,0.094918996,0.089426406,0.08479118,0.080346264,0.07611088,0.07183566,0.067636706,0.0634706,0.059658423,0.056135103,0.052881915,0.049663693,0.04669315,0.044087786,0.041937035,0.039883945,0.037653606,0.035129562,0.032544468,0.030197598,0.028264558,0.026682653,0.02521948,0.023707243,0.022156173,0.020680817,0.019308634,0.017941274,0.016497588,0.015041232,0.013712834,0.012637001,0.011842041,0.01136501,0.011196409,0.011296184,0.011469615,0.011503168,0.011202547,0.010559968,0.009677864,0.008763009,0.007969658,0.007395722,0.0070096706,0.0067325514,0.0064565395,0.0061446894,0.0058051595,0.0054811337,0.0051828437,0.004903581,0.004630903,0.004378648,0.004159037,0.0039668973,0.003765541,0.0035286795,0.003261822,0.0030052643,0.002788569,0.00260735,0.0024304884,0.002236872,0.002031381,0.0018325472,0.0016489028,0.0014744691,0.0013025858,0.0011395095,0.0009987911,0.00088418316,0.00077976426,0.0006636097,0.0005325886,0.00041599307,0.00035863757]