[0.01050216,0.017357001,0.033506792,0.055832434,0.078993924,0.096997686,0.10583741,0.10501048,0.097284146,0.08763536,0.081791066,0.08419601,0.09482115,0.108110964,0.11543473,0.11120281,0.09619712,0.076789714,0.060348798,0.05303369,0.058637172,0.078495264,0.10927901,0.14354105,0.17221713,0.18936093,0.19380538,0.18804526,0.17575769,0.16048872,0.14599212,0.13593818,0.13235788,0.13384984,0.13579415,0.13334511,0.12399485,0.1094211,0.09509935,0.08989319,0.10132989,0.13031001,0.1666087,0.1943924,0.20099227,0.18512373,0.15503012,0.12301474,0.099515915,0.09084469,0.097479194,0.11347968,0.12849338,0.13357621,0.12598738,0.109899074,0.09179172,0.07697474,0.069182545,0.072963916,0.092431165,0.12671974,0.16642259,0.19814812,0.21292526,0.2116487,0.2008605,0.18712598,0.17354262,0.16263373,0.15667607,0.15763555,0.16429883,0.1724866,0.17585103,0.168891,0.1505236,0.12618363,0.107230835,0.10541737,0.12647676,0.16471016,0.20511456,0.2310312,0.23440175,0.21874984,0.19510593,0.17404957,0.16255496,0.16411026,0.17919491,0.20272286,0.22410618,0.23186849,0.2217101,0.19858404,0.1729836,0.1531655,0.14268003,0.14075738,0.14562131,0.1549717,0.16681881,0.17932075,0.1913269,0.2017885,0.20912023,0.21206947,0.21097863,0.20900744,0.20937924,0.21289049,0.2166214,0.21715517,0.21317005,0.20522319,0.19374794,0.17890091,0.16369563,0.15464419,0.15796699,0.17323755,0.19221045,0.20414771,0.20332254,0.19203229,0.17724921,0.1650639,0.15752429,0.15399963,0.1535632,0.15572466,0.15890153,0.16051257,0.15860142,0.15425749,0.15063198,0.15124728,0.15729612,0.16734384,0.17705773,0.18109488,0.17553298,0.16060571,0.1413572,0.12538555,0.11942772,0.12590845,0.14191751,0.16005026,0.17176948,0.17169428,0.16027556,0.14300652,0.12591268,0.11361268,0.11073,0.12578182,0.16659307,0.23115866,0.29972667,0.34464446,0.34727022,0.31203365,0.2594347,0.21174078,0.18048327,0.1674381,0.16856472,0.17736371,0.18541723,0.18636207,0.17936373,0.16988297,0.16357069,0.1619249,0.16178612,0.1599288,0.155773,0.15050359,0.14534645,0.14059739,0.1366416,0.13336468,0.13001288,0.12586504,0.12205621,0.121448964,0.1257474,0.13279045,0.13824295,0.13964154,0.13925038,0.1405251,0.1440482,0.14606543,0.14278825,0.13428317,0.12431813,0.11717888,0.11392415,0.112960905,0.11138142,0.10853245,0.10561248,0.10509151,0.10737149,0.11108607,0.11416597,0.11662408,0.12062474,0.12840174,0.13971217,0.15073054,0.15730965,0.15811056,0.15665184,0.15742616,0.16269045,0.17067482,0.17833191,0.18327439,0.185109,0.18560542,0.18842472,0.19695054,0.21104275,0.22563188,0.23367006,0.23087023,0.21885753,0.20346586,0.19102949,0.18482143,0.18466419,0.1877072,0.19013865,0.18834142,0.18071093,0.16841857,0.15454787,0.14166987,0.13046731,0.120882325,0.114648975,0.1158927,0.12881185,0.15330403,0.18334405,0.20952399,0.22476383,0.22782268,0.2217098,0.21002237,0.19502322,0.1800323,0.16975693,0.16826428,0.17429328,0.18324512,0.19065034,0.19619882,0.19965188,0.198924,0.19000186,0.17281456,0.15184104,0.13388456,0.12278697,0.119013876,0.12082914,0.12655845,0.13427855,0.14223658,0.14963831,0.15847422,0.17247207,0.19451831,0.22322355,0.2535478,0.27891922,0.29520044,0.30142465,0.3011832,0.30073366,0.30648828,0.3194643,0.33369577,0.34045628,0.33550978,0.32310346,0.31197175,0.30950117,0.31733918,0.3328143,0.35096458,0.36664438,0.37457243,0.3722194,0.36157843,0.34896764,0.33781135,0.32540023,0.30621925,0.28207716,0.26332602,0.25977176,0.26920715,0.2781609,0.2736695,0.25629234,0.24172278,0.2543404,0.30887392,0.4001266,0.49680123,0.56371623,0.57932436,0.5508253,0.49895582,0.4448334,0.39875162,0.36362335,0.33792862,0.31807873,0.30048206,0.284248,0.27272657,0.27037767,0.2781029,0.2906576,0.3005849,0.30283484,0.29738787,0.28486782,0.2649437,0.237253,0.20633255,0.18051314,0.1656705,0.16031568,0.15769798,0.15527926,0.15815127,0.17451899,0.20469312,0.23985477,0.2695868,0.29397154,0.32157585,0.3619915,0.41570655,0.4765204,0.53315765,0.57105905,0.5763784,0.5444548,0.48826042,0.43028405,0.38923585,0.36871472,0.36051473,0.35327315,0.33998093,0.32085553,0.30056584,0.28395215,0.27174318,0.26307747,0.2586348,0.26319584,0.2793244,0.30399847,0.32674742,0.3376305,0.33201873,0.31460643,0.29515976,0.28387293,0.28432035,0.2916398,0.2946289,0.2850509,0.2644666,0.2444238,0.23680891,0.2449436,0.2623444,0.28089836,0.29910913,0.32566038,0.3708689,0.43629608,0.5054617,0.55333,0.5616446,0.5329812,0.48406056,0.43115082,0.37870622,0.32479075,0.27101097,0.2275725,0.20466626,0.20488608,0.22045906,0.2414066,0.25894576,0.26919279,0.2716454,0.27206936,0.2771467,0.28993484,0.3051233,0.31594798,0.31978604,0.32059804,0.32189146,0.32222947,0.31517068,0.29632625,0.2686838,0.24101138,0.21997625,0.20593536,0.19795392,0.20294976,0.23222311,0.2919538,0.37295255,0.45973435,0.535721,0.58858114,0.60511947,0.58008325,0.5216154,0.45190167,0.39396694,0.36405376,0.37056622,0.41263285,0.47458816,0.52516663,0.53523445,0.49785104,0.43411204,0.37510285,0.3411459,0.33394912,0.34287813,0.3538966,0.35504684,0.33956686,0.30911338,0.27248847,0.2418343,0.22543216,0.22539808,0.2370673,0.25294134,0.26456857,0.26545885,0.25045666,0.21971361,0.17991625,0.14555976,0.13007395,0.14066859,0.17824416,0.24235968,0.329821,0.42518243,0.5034848,0.5425596,0.5412827,0.5151341,0.48205748,0.44841072,0.4110054,0.36727127,0.3198823,0.2768627,0.24387257,0.2230928,0.21008258,0.19862686,0.18437888,0.17190738,0.17267199,0.19366096,0.22723122,0.25203133,0.2525069,0.2293785,0.20000713,0.17808257,0.16728981,0.16080242,0.15604861,0.15371668,0.15539895,0.1559274,0.15246281,0.15142168,0.1708154,0.22431736,0.3100033,0.40858153,0.49941298,0.56778926,0.60611534,0.6059714,0.56588036,0.49639106,0.42237744,0.36579633,0.33544278,0.32281765,0.3144517,0.29970786,0.2766735,0.2479782,0.21925682,0.19492401,0.17809016,0.16852295,0.16622122,0.17371337,0.19481812,0.2287895,0.2659388,0.29537854,0.31099442,0.31625077,0.31452766,0.30713907,0.29123378,0.2664446,0.23473407,0.2007372,0.16981637,0.14760278,0.13829832,0.14148891,0.15318187,0.17094843,0.2014368,0.2565895,0.34029558,0.4367775,0.51586884,0.55444914,0.5494626,0.5172864,0.47545537,0.43480554,0.39634693,0.35880837,0.3212632,0.2857608,0.2576153,0.24228583,0.241717,0.2503433,0.2600198,0.26611206,0.27229837,0.28298804,0.29599246,0.29934824,0.28432342,0.2539193,0.22479248,0.21235164,0.2218225,0.245241,0.2706994,0.288026,0.29226723,0.28120473,0.25728074,0.22933613,0.21464086,0.22917593,0.2781144,0.34987637,0.42666754,0.49215543,0.5356377,0.54783493,0.52583814,0.4786612,0.42679286,0.39060488,0.38021865,0.39643097,0.43385935,0.4806583,0.515578,0.5171302,0.47936118,0.4185311,0.36038387,0.32181588,0.3047775,0.3055505,0.3211033,0.34800673,0.37485102,0.3869464,0.37490988,0.34422657,0.3101028,0.289245,0.28944555,0.3096714,0.3407,0.37210926,0.39436314,0.40393814,0.40119538,0.39013502,0.3752128,0.36365354,0.36519074,0.38966057,0.43682668,0.49239245,0.53174096,0.53821087,0.5120124,0.47011375,0.42906535,0.3956499,0.36547366,0.33334935,0.30072543,0.2738718,0.25808206,0.25116053,0.24815033,0.24322109,0.23640956,0.230143,0.23271377,0.24835134,0.2762313,0.3029628,0.3164792,0.31072876,0.29400885,0.27735245,0.26979116,0.27202633,0.28089333,0.29166317,0.30121005,0.30796626,0.31279722,0.3192959,0.3335296,0.35930756,0.39511478,0.43460798,0.47376192,0.50959045,0.5367925,0.54214936,0.51827186,0.47073856,0.4208784,0.3849412,0.36488032,0.34656456,0.31695566,0.27479413,0.23341982,0.20851736,0.20623334,0.21799976,0.22973245,0.2333461,0.23216201,0.23588371,0.24810767,0.26390314,0.27077976,0.26383874,0.24608137,0.227778,0.21246582,0.19671293,0.17497645,0.1496336,0.1317472,0.13223068,0.15396185,0.19022469,0.23189859,0.271697,0.30478632,0.3288822,0.34804177,0.37560046,0.4225236,0.4852208,0.53827906,0.5560926,0.52888584,0.4728723,0.41099057,0.3601959,0.32332703,0.297058,0.27813897,0.26546076,0.25901508,0.25628516,0.25385052,0.24635416,0.23277609,0.2160042,0.20679961,0.21126032,0.22789796,0.2420147,0.24388523,0.2333005,0.22119798,0.21138883,0.1994463,0.17922705,0.15850347,0.15358625,0.17686266,0.2214065,0.26873767,0.30135807,0.31846192,0.3320813,0.35746562,0.3998045,0.45394385,0.50794774,0.5493169,0.5637583,0.54237705,0.486145,0.41342476,0.34864807,0.3134092,0.3166767,0.35681593,0.42028606,0.48326716,0.5171662,0.50539,0.45258975,0.38368604,0.32454333,0.29064658,0.28269985,0.2925844,0.30862114,0.31666663,0.30836,0.28199133,0.24873704,0.2223407,0.21590059,0.23121636,0.261761,0.29424226,0.31717694,0.32329515,0.3120372,0.2886338,0.2632443,0.24726778,0.24982078,0.27614987,0.3280972,0.40065444,0.47890723,0.5373609,0.5543037,0.523752,0.46293437,0.3982645,0.3510367,0.32560524,0.31378457,0.30429277,0.2916013,0.27735564,0.26568282,0.25988626,0.26119283,0.27109024,0.28994712,0.3161966,0.34289598,0.36068273,0.3594829,0.33529392,0.29116377,0.2387623,0.19310667,0.16565418,0.15951614,0.16949855,0.19049269,0.21811551,0.24815404,0.27189565,0.2840862,0.28920665,0.30092594,0.3298292,0.37498844,0.42882442,0.48305836,0.5310486,0.5582897,0.5502103,0.5006164,0.42684993,0.35572,0.30827177,0.28262207,0.2625937,0.23388566,0.19820976,0.17133951,0.16790998,0.19007407,0.224962,0.25747904,0.2796607,0.29590514,0.31138802,0.3252364,0.3257159,0.30427253,0.2625546,0.21680553,0.18384425,0.17221035,0.17793058,0.1926383,0.20944482,0.22301972,0.22636037,0.21292706,0.18371709,0.15201855,0.13624287,0.15119796,0.20069873,0.28247878,0.38462672,0.4869562,0.5596037,0.5839,0.56237286,0.51969147,0.47927573,0.45012057,0.42661846,0.40117046,0.3719643,0.34198427,0.31498718,0.29278937,0.276305,0.26669767,0.26575652,0.2739077,0.28974065,0.30877724,0.32580376,0.33357847,0.32684505,0.3023764,0.26472226,0.22316098,0.19062692,0.17509122,0.17839555,0.19416757,0.21365805,0.22862591,0.23832792,0.25028938,0.27718222,0.32493886,0.38621363,0.4457555,0.49562144,0.5383127,0.57699937,0.5996253,0.58851665,0.53484994,0.45495057,0.37676597,0.3279966,0.3215541,0.35761702,0.41991377,0.48123136,0.5100653,0.49199328,0.43601927,0.37174118,0.3258196,0.3108107,0.32134998,0.3434626,0.36188984,0.3650092,0.35039106,0.32323697,0.29357743,0.2669469,0.24420498,0.22444075,0.21059664,0.20859621,0.22164428,0.24680555,0.2748684,0.29673028,0.30595383,0.30079475,0.28148866,0.2517914,0.2202474,0.2001685,0.20330016,0.23057176,0.26900163,0.29778388,0.30136544,0.27741638,0.23575287,0.1904056,0.15223555,0.12635808,0.11280335,0.10896975,0.11141864,0.11728135,0.12475435,0.13289465,0.14144635,0.15104926,0.16456848,0.18607342,0.21728575,0.25232372,0.27968714,0.28968957,0.28307846,0.26785696,0.25219035,0.238463,0.22856028,0.2254266,0.23106758,0.24093305,0.24813683,0.24997135,0.24832766,0.24373543,0.2329147,0.21631618,0.20329612,0.20734054,0.23327625,0.27116907,0.30322745,0.31722477,0.31400868,0.3036665,0.294958,0.28915974,0.2813411,0.2682029,0.2526913,0.24280588,0.24426544,0.25614497,0.2720021,0.28597328,0.29519677,0.30102214,0.30652347,0.31653714,0.331448,0.3463303,0.3503643,0.33760533,0.31006327,0.2793374,0.25653723,0.24761458,0.2506291,0.2605566,0.2729191,0.28387386,0.2898016,0.28731862,0.27711275,0.26312393,0.25137946,0.24668092,0.25337502,0.27260867,0.30106142,0.32962623,0.34957492,0.35681772,0.3540881,0.34669772,0.33898833,0.33184505,0.3234168,0.31170332,0.2973752,0.28367522,0.27351102,0.266513,0.26048493,0.25506902,0.25405073,0.26246312,0.28051722,0.30054572,0.3108075,0.30446205,0.28452083,0.26010394,0.2383985,0.22076567,0.20574309,0.19310766,0.18438417,0.18104506,0.18309267,0.18977617,0.19925702,0.20872368,0.21445012,0.2152194,0.21425872,0.2188108,0.23309405,0.25372532,0.27000442,0.27283573,0.26081392,0.240458,0.22002776,0.20470463,0.19589083,0.192473,0.19281113,0.19512413,0.19827794,0.20110609,0.20251097,0.20175755,0.20060872,0.20418835,0.21949911,0.24952169,0.28875008,0.3243153,0.34537005,0.35143805,0.35212898,0.3581195,0.372599,0.39092278,0.404977,0.40869403,0.4001621,0.38299417,0.36300233,0.343834,0.3235323,0.29929593,0.27347335,0.25543234,0.25480926,0.27379778,0.30546728,0.3377099,0.3609879,0.37031648,0.36603364,0.34858647,0.31955495,0.28140286,0.24187653,0.21049471,0.19493012,0.1954081,0.20672649,0.22171433,0.23488009,0.24328522,0.24852622,0.25694588,0.27477872,0.30003634,0.3215819,0.3284948,0.32060668,0.3082595,0.30294392,0.30814782,0.31867203,0.32418656,0.31533897,0.28736183,0.243568,0.19418631,0.15196458,0.12526263,0.115822166,0.122193955,0.14651991,0.19244683,0.25832903,0.3292701,0.38535598,0.41276142,0.41284636,0.39525726,0.36946884,0.33943865,0.30598775,0.27042606,0.2361597,0.20851487,0.19339634,0.1953183,0.21538198,0.24870245,0.2856423,0.3161743,0.33642736,0.34916317,0.3579289,0.36099026,0.35224128,0.32829675,0.2926897,0.25397,0.22021855,0.19646811,0.18508571,0.18646465,0.19857256,0.21700434,0.23706025,0.25565505,0.2712952,0.28262338,0.28869,0.29197136,0.2988349,0.31565008,0.3406808,0.36371672,0.37253132,0.3636223,0.3428141,0.31932482,0.29714572,0.27535465,0.2520084,0.22898424,0.20971046,0.1961366,0.18673678,0.17945306,0.1743577,0.17394732,0.18268912,0.20474337,0.24193726,0.2877158,0.32777366,0.34551144,0.33446625,0.30163708,0.26369452,0.23555292,0.2252974,0.23247921,0.25182328,0.27417612,0.2894286,0.28966704,0.2736798,0.24776183,0.22121601,0.20213415,0.1953771,0.20417847,0.22794692,0.25964126,0.28634322,0.2967188,0.28827885,0.26802337,0.24618292,0.22981715,0.22048897,0.21621843,0.2141637,0.21255672,0.21127473,0.21130843,0.21460204,0.2234865,0.24131298,0.2702997,0.3095992,0.35215923,0.38728893,0.40475667,0.40126488,0.3808091,0.35335192,0.3285476,0.31292447,0.30664405,0.30640605,0.3081677,0.31085077,0.3147792,0.31817865,0.31446996,0.29724348,0.27034858,0.25465062,0.27666238,0.3450142,0.4354886,0.5048079,0.52343184,0.49321952,0.44043207,0.3901492,0.35581365,0.33742633,0.33116114,0.3313506,0.33392644,0.3362417,0.33769155,0.3391341,0.34168506,0.34733286,0.35832652,0.37649748,0.39945886,0.4196836,0.42768803,0.4200985,0.40306136,0.38833448,0.3829551,0.38418332,0.38269332,0.37265906,0.35757408,0.34702346,0.34779873,0.35883287,0.3755906,0.39597932,0.42122757,0.45123443,0.4844059,0.52110547,0.5614658,0.598551,0.6146479,0.5966191,0.54658407,0.484845,0.42982242,0.38992712,0.36167607,0.3419863,0.33120814,0.33065477,0.3381462,0.3480259,0.3579953,0.37004444,0.38826096,0.41182888,0.4362228,0.456201,0.46949682,0.47530577,0.4736909,0.4663613,0.45727924,0.45117736,0.44988558,0.4525158,0.4562625,0.4602711,0.4643104,0.46906912,0.4735366,0.4773973,0.48012534,0.48285985,0.48803735,0.50156087,0.52900106,0.56748486,0.60066533,0.6056178,0.57158566,0.5088052,0.44269463,0.39348948,0.36682442,0.35529366,0.351024,0.3510604,0.3571472,0.3695426,0.3852754,0.39867094,0.40504596,0.40258953,0.39434227,0.38752517,0.38799915,0.3946723,0.39752877,0.38861513,0.36907697,0.3512571,0.3449644,0.35057196,0.3580915,0.35884932,0.35178068,0.34264705,0.33651796,0.33492264,0.33980262,0.356828,0.39068758,0.437681,0.48724452,0.5321037,0.572596,0.6083415,0.6294412,0.62250143,0.5835963,0.5239778,0.46103618,0.41201806,0.39167002,0.41103375,0.46624336,0.5328279,0.57448477,0.5677437,0.5156315,0.44418624,0.3813071,0.34429017,0.33609083,0.35039186,0.37545097,0.3959769,0.40054366,0.38481033,0.35577932,0.32437637,0.3011836,0.29047552,0.29128912,0.2991822,0.30952823,0.31965494,0.3292384,0.3399811,0.35324034,0.36909175,0.38685858,0.4100198,0.4456509,0.49554363,0.5459809,0.56991476,0.54925394,0.4889798,0.41742137,0.36013544,0.3277869,0.31276497,0.3067,0.306741,0.31672987,0.3383919,0.3675923,0.3958068,0.41413727,0.4185672,0.410869,0.39986238,0.39426196,0.39833477,0.40516472,0.4049382,0.39030254,0.3657318,0.34084067,0.32573524,0.32238838,0.32700503,0.33202958,0.33192822,0.32394478,0.3111277,0.3015757,0.3075271,0.3366809,0.38758016,0.4491252,0.51144093,0.56669277,0.60784405,0.6198731,0.5930023,0.53058344,0.45556545,0.3908387,0.3479695,0.32381305,0.31229982,0.311481,0.32157198,0.34116244,0.3648785,0.38712153,0.40400222,0.41468596,0.42151976,0.4289378,0.44091693,0.45709208,0.4718833,0.47907662,0.47629514,0.46738675,0.45725656,0.44890603,0.44177738,0.43569338,0.4313754,0.4298121,0.42921922,0.42677066,0.42093137,0.41423142,0.41144252,0.41848978,0.44062844,0.4814333,0.53589964,0.5884138,0.615392,0.60270643,0.55324274,0.48734048,0.4254202,0.37997875,0.35219708,0.33912647,0.3362709,0.33964303,0.34553066,0.35152516,0.35608426,0.35751292,0.3550651,0.3504678,0.350556,0.3609966,0.38340667,0.41000605,0.4327195,0.44512773,0.4483675,0.44419396,0.4350939,0.42082527,0.40255046,0.38290593,0.3667811,0.3573375,0.35452867,0.35745618,0.3683116,0.39181224,0.42777383,0.470718,0.5151833,0.5616273,0.6070114,0.63578725,0.62717766,0.5750145,0.49888563,0.42828313,0.38609698,0.38031593,0.41221592,0.47301745,0.5409835,0.58264464,0.57521886,0.5208317,0.44719717,0.3848206,0.35268632,0.3526577,0.37615678,0.4090841,0.43518198,0.4436761,0.43223485,0.40934685,0.38588944,0.37082377,0.36647022,0.3697169,0.37491503,0.37769476,0.37825605,0.37901747,0.38151717,0.3830801,0.37950745,0.37115455,0.3677721,0.38573483,0.43279395,0.4970458,0.5474561,0.5578017,0.5229559,0.46286443,0.40232542,0.3577745,0.3314002,0.31869063,0.3134108,0.31123674,0.31003305,0.3102049,0.31313822,0.31985107,0.329976,0.3430339,0.3597484,0.3793997,0.39825395,0.4080564,0.40498385,0.39210388,0.38043484,0.37716067,0.38215062,0.3884269,0.39120027,0.3907708,0.3893712,0.3856881,0.37610498,0.36132,0.35139123,0.35765204,0.38504997,0.42639855,0.47543415,0.5266326,0.5764876,0.60919553,0.60957927,0.57000834,0.50398225,0.4318652,0.3731279,0.33589706,0.32054368,0.3204246,0.3276596,0.33646384,0.34595433,0.35627246,0.3650739,0.36813012,0.36473787,0.36249247,0.37130585,0.39651123,0.43076804,0.46257222,0.48187605,0.48842192,0.4852972,0.47680828,0.46473527,0.45147225,0.43991506,0.43285453,0.43111873,0.43323696,0.43664786,0.43897045,0.43939152,0.44011453,0.44814947,0.47391224,0.5217822,0.5804482,0.6227291,0.6251705,0.5860255,0.5275381,0.47507298,0.4393238,0.4145473,0.39207914,0.37072787,0.35613665,0.3532634,0.36152884,0.3750218,0.38660863,0.39156023,0.39061323,0.38969374,0.39499554,0.4077603,0.42148408,0.42804763,0.42243925,0.40634954,0.38485122,0.3642024,0.34974983,0.34410825,0.3463944,0.3522488,0.35804018,0.36349168,0.3731458,0.3921527,0.42222783,0.45824257,0.49318966,0.52445775,0.55538154,0.5869723,0.6082526,0.60296494,0.56165236,0.49493918,0.4237673,0.37173215,0.3532784,0.37731257,0.43758807,0.51428735,0.57128745,0.5836378,0.54634124,0.4843497,0.42400178,0.38470182,0.36719355,0.36717138,0.37575614,0.384694,0.38719204,0.3815658,0.37095168,0.35852727,0.34619227,0.33529556,0.32915947,0.33097818,0.34147444,0.35757533,0.37477377,0.38880077,0.3969233,0.397733,0.3935684,0.39201415,0.40547454,0.44092453,0.49153948,0.5331773,0.54134685,0.5061011,0.44128028,0.37011442,0.31111345,0.2676266,0.23297626,0.19815242,0.15957414,0.12043216,0.08765394,0.06633618,0.05664083,0.056233924,0.064945884,0.088346876,0.13207908,0.19526277,0.2643509,0.32135078,0.3527745,0.35875812,0.34889022,0.3367389,0.33189487,0.33788347,0.35138667,0.3670393,0.38080692,0.39285502,0.40493536,0.419915,0.4392521,0.4633055,0.48886028,0.5142494,0.53788525,0.5589139,0.5666066,0.54856706,0.49802426,0.4284899,0.36341497,0.32385376,0.314554,0.32730308,0.34935606,0.37191066,0.39186564,0.40809718,0.41896942,0.421513,0.41529354,0.40292394,0.39150706,0.38827488,0.39819923,0.41907167,0.44375476,0.46427703,0.47700545,0.482911,0.4843531,0.48353878,0.4815102,0.47936928,0.47752932,0.4762554,0.47568408,0.47588566,0.4764553,0.47577235,0.4735746,0.47279087,0.48178473,0.50582904,0.54129964,0.5697123,0.57249403,0.54172975,0.4907626,0.44080403,0.40822184,0.39249113,0.3821527,0.36563608,0.34122136,0.31625044,0.30042878,0.29935905,0.31279412,0.33551738,0.3570874,0.364174,0.3441309,0.29569238,0.23277567,0.18333066,0.17161389,0.2048002,0.2657832,0.32650027,0.36173913,0.36211836,0.33401656,0.29692253,0.27084383,0.26641735,0.27716532,0.2896295,0.29163596,0.28026032,0.25608128,0.22592591,0.20245671,0.20216006,0.23154604,0.27902284,0.32146445,0.3397064,0.3314961,0.3077782,0.2836399,0.2657441,0.25241634,0.23899299,0.2270963,0.22477536,0.23889172,0.2685294,0.30405632,0.33531633,0.35538492,0.36294022,0.35761914,0.34101164,0.31628507,0.2892623,0.2639924,0.24016559,0.21516211,0.18891442,0.16650675,0.1544189,0.15495247,0.16407566,0.17285787,0.1742145,0.16560851,0.15034908,0.13192302,0.112844564,0.09539048,0.085309535,0.08895111,0.10690393,0.12985499,0.14370011,0.13944857,0.1190434,0.092161216,0.068471424,0.052584995,0.044308186,0.041536253,0.042260718,0.045111477,0.048927862,0.05280557,0.055838186,0.058286503,0.06280038,0.07632712,0.1071875,0.1588642,0.2237457,0.28594127,0.331362,0.35539076,0.3615605,0.3537041,0.3343848,0.30739093,0.28228822,0.26926914,0.27377543,0.291162,0.31176934,0.3256459,0.32736483,0.31439152,0.28721645,0.25075772,0.21499325,0.18995358,0.17772394,0.17084278,0.16046162,0.14713138,0.14363118,0.16357422,0.20844615,0.26146916,0.29943624,0.30697867,0.28681728,0.2543708,0.22790897,0.21852946,0.22812742,0.250494,0.27653217,0.29714024,0.3086058,0.31206968,0.31319246,0.31533512,0.31804588,0.3173522,0.3116053,0.3036718,0.29936194,0.30257782,0.3129116,0.3266413,0.33975554,0.3493756,0.3540264,0.35316572,0.3478506,0.34107932,0.3372226,0.33900702,0.34446526,0.34622553,0.3358642,0.30979976,0.27224,0.23240691,0.19890578,0.17605247,0.16350937,0.15846847,0.15769279,0.15922177,0.16276337,0.16927518,0.1790172,0.19014116,0.19872068,0.20159577,0.19935216,0.19692916,0.200418,0.21369578,0.23605667,0.2635648,0.2893527,0.30717313,0.31303892,0.30839995,0.2979662,0.28697035,0.27796635,0.27091554,0.26505747,0.25950947,0.2528032,0.24132471,0.22237189,0.19789582,0.1775344,0.17245542,0.18803437,0.21820612,0.25047478,0.273019,0.2812847,0.27754423,0.26746786,0.25544032,0.24234118,0.2266392,0.20724542,0.18538183,0.16359441,0.1436785,0.12622444,0.112223774,0.104641564,0.10801042,0.12463514,0.1513642,0.17800039,0.19270974,0.1877829,0.16473813,0.13154723,0.098166026,0.071222454,0.052955467,0.041990507,0.035727486,0.03202779,0.029834457,0.028747512,0.028530853,0.02950489,0.033633225,0.044955056,0.06747911,0.100720026,0.13661896,0.16220284,0.16756774,0.15304323,0.12886642,0.1095264,0.106555544,0.12728916,0.17135417,0.23033051,0.2841157,0.3120844,0.3043491,0.27379054,0.24656375,0.24433422,0.26938358,0.3062106,0.33792916,0.3552332,0.35977474,0.35402563,0.3415941,0.32525226,0.3118385,0.30580762,0.30686688,0.30561733,0.2920295,0.2613401,0.22175644,0.18774025,0.17450298,0.18687941,0.2204004,0.26154518,0.2983708,0.32362697,0.3387207,0.346746,0.3504463,0.3494197,0.3448253,0.33913136,0.33620965,0.33660305,0.33769253,0.33407977,0.32157424,0.2992994,0.27108347,0.24416791,0.22420602,0.21160097,0.20139134,0.19109543,0.18566476,0.19521552,0.223641,0.26221687,0.293998,0.30656847,0.29985407,0.2838814,0.26979983,0.26247552,0.2589586,0.25341454,0.24416071,0.23753123,0.24264316,0.26319578,0.29241526,0.31912974,0.3352286,0.3403736,0.3379296,0.33077535,0.3184131,0.29881868,0.2714274,0.23934896,0.20912163,0.18796633,0.1819992,0.19483371,0.22642134,0.2712935,0.31866983,0.3569788,0.37868962,0.38370085,0.37652752,0.3633877,0.34857866,0.33580557,0.32694367,0.32173142,0.31419197,0.29731905,0.26844466,0.23579,0.21246196,0.2075512,0.21746095,0.22951008,0.23143502,0.22155283,0.209549,0.20949157,0.22942798,0.266634,0.30907536,0.34313342,0.359466,0.35643414,0.33730793,0.3078846,0.27362987,0.23984496,0.21024446,0.18667668,0.16876233,0.1557859,0.14786254,0.1460521,0.15068847,0.16019064,0.1709031,0.17941414,0.18463485,0.19007206,0.20203733,0.22678857,0.26458767,0.30858526,0.34632388,0.36782193,0.36897898,0.35431948,0.33191666,0.31178415,0.29980966,0.29751864,0.3006624,0.30494562,0.30818424,0.3111739,0.3125151,0.3073248,0.2894698,0.25874254,0.2234419,0.19813786,0.19567324,0.22000976,0.26303992,0.308062,0.33868945,0.34603322,0.33071128,0.29864287,0.25733647,0.2142173,0.1758352,0.14595132,0.123773634,0.105435364,0.08760043,0.070117086,0.055665135,0.047701642,0.04974697,0.06498793,0.09484164,0.13557361,0.17747675,0.2086915,0.22160421,0.21613759,0.19762997,0.17284179,0.1472436,0.12483776,0.10775723,0.095961176,0.0874154,0.07975965,0.07172131,0.06342552,0.05625838,0.05382822,0.06281159,0.090718366,0.13906313,0.19778395,0.24749851,0.27104008,0.26390108,0.23517166,0.19941205,0.16935162,0.15432638,0.1596009,0.18363243,0.21410888,0.23335172,0.22808768,0.20003563,0.1633545,0.13620543,0.12992793,0.14688352,0.1825655,0.22895344,0.27570316,0.3116761,0.32924768,0.32857767,0.3178524,0.30770135,0.3042346,0.30658713,0.3101519,0.31173918,0.31146905,0.3108308,0.30990282,0.30601707,0.29502866,0.2740803,0.24560487,0.21876039,0.20532763,0.21154761,0.23206954,0.2532094,0.2612532,0.25088575,0.22644047,0.20005806,0.18693812,0.19795279,0.23246253,0.27482513,0.3053366,0.3101598,0.28996316,0.25135097,0.20570476,0.16545261,0.1478021,0.16357201,0.21040197,0.26966938,0.32019174,0.3486681,0.35375237,0.33970845,0.31286445,0.28243533,0.26119462,0.25955787,0.27592075,0.29559365,0.30259094,0.29444623,0.28366676,0.28380355,0.29536247,0.30746832,0.31061587,0.3068011,0.30470106,0.31083533,0.32325235,0.335995,0.342769,0.3413801,0.33186927,0.31809786,0.30406952,0.29390934,0.2873532,0.28297675,0.27934822,0.27776545,0.27906016,0.2817813,0.2839027,0.28557572,0.28951296,0.29610705,0.3017306,0.30096433,0.29167023,0.27571154,0.2564832,0.23713578,0.22220683,0.21763815,0.22701456,0.24572653,0.26331413,0.27100718,0.26879567,0.26124266,0.25135025,0.2392428,0.22994065,0.23434198,0.26180914,0.307676,0.35474655,0.3840089,0.38692617,0.36686027,0.3331246,0.2969922,0.26760972,0.25167027,0.24829973,0.25171247,0.2527447,0.245754,0.22825623,0.2025779,0.17365448,0.15020029,0.14108294,0.15214084,0.18164086,0.22088675,0.25818914,0.2830195,0.28914344,0.27518174,0.2483717,0.22360136,0.21821357,0.23988056,0.28137043,0.3251085,0.3550745,0.3645551,0.35533658,0.332726,0.30141076,0.26689085,0.2366442,0.22039704,0.22375067,0.24496369,0.27380526,0.29933235,0.3143774,0.31869945,0.3140461,0.30151415,0.28040123,0.2523877,0.2240173,0.2047862,0.2016421,0.21420212,0.23634608,0.2604207,0.2821586,0.30040094,0.31530797,0.32499167,0.32522315,0.31223187,0.28783855,0.26106694,0.24176066,0.23153035,0.22187938,0.20331503,0.1763105,0.15195684,0.14260681,0.15021552,0.16543949,0.17453504,0.17133747,0.16001286,0.15279709,0.16098432,0.18961819,0.23437886,0.28307047,0.32189214,0.34069395,0.33956993,0.32572863,0.31001163,0.29619238,0.28088132,0.25780803,0.2292356,0.20644091,0.20097499,0.21384197,0.23480146,0.25256598,0.2635362,0.27216935,0.2830303,0.29424024,0.29858622,0.29001343,0.27036676,0.248423,0.23410653,0.23117249,0.23693812,0.24575984,0.25405982,0.26024723,0.26398352,0.26423004,0.2603676,0.2520627,0.24115157,0.23148297,0.22932981,0.2398568,0.26440653,0.297796,0.33111203,0.35576716,0.3678782,0.36795887,0.3581147,0.34014893,0.31526622,0.2860081,0.2551925,0.22594647,0.19941635,0.17551921,0.153343,0.13587345,0.13303663,0.15920658,0.22211845,0.3117425,0.40149167,0.4628853,0.48322073,0.47062516,0.44491887,0.4219853,0.40641442,0.3946196,0.3856542,0.38507533,0.39978766,0.42839062,0.4597719,0.4824504,0.49251652,0.49609354,0.5020678,0.5195082,0.5500135,0.58663654,0.61005425,0.6032703,0.56110555,0.4991014,0.4390336,0.39762437,0.37684712,0.36976984,0.36761644,0.36467683,0.35939956,0.35148415,0.34229088,0.33289754,0.3255984,0.32314423,0.32928064,0.34597194,0.37005183,0.3930799,0.40668535,0.40967453,0.40832552,0.4091383,0.41037583,0.40232337,0.3768613,0.33770743,0.2999262,0.2782092,0.27528188,0.28393242,0.2987446,0.3239821,0.366294,0.4231999,0.4836805,0.53609914,0.57640153,0.59788704,0.5939165,0.5594321,0.5070935,0.45525172,0.41991603,0.40082207,0.39132628,0.3832871,0.3736899,0.36099264,0.34560418,0.32954183,0.31613597,0.30880794,0.30930555,0.3202554,0.34164703,0.36917102,0.39040828,0.3945639,0.3798525,0.35796618,0.343084,0.3415668,0.34656432,0.34443972,0.32531697,0.29077557,0.2537699,0.22861862,0.22013438,0.21985807,0.2143896,0.20106284,0.19389887,0.22035193,0.2954233,0.4072663,0.509726,0.55716205,0.53121686,0.45906368,0.38522327,0.34358415,0.33828378,0.35411373,0.37276995,0.38394627,0.38657033,0.3836131,0.37808982,0.37013867,0.35993218,0.3503674,0.34862998,0.3595902,0.3813102,0.40327302,0.41447616,0.40732,0.3802911,0.3357143,0.28211305,0.23443036,0.21014166,0.21964449,0.25953054,0.3135911,0.36166868,0.39058685,0.40064725,0.4052997,0.4194273,0.4496545,0.48932505,0.5284064,0.5588739,0.5756686,0.57155937,0.5406664,0.48402163,0.4126662,0.34431258,0.30041277,0.3027539,0.35919014,0.45274678,0.53877634,0.576691,0.5529563,0.49244723,0.43042699,0.3922865,0.3817873,0.39016894,0.40371886,0.40987682,0.40155184,0.3786204,0.3476086,0.3172222,0.29538885,0.28542137,0.2853996,0.28979933,0.29487193,0.30059788,0.3094952,0.32248458,0.33911327,0.356801,0.37393156,0.39005378,0.41295245,0.45047584,0.50270873,0.5477676,0.5589672,0.5240629,0.46136138,0.40246403,0.3687712,0.35978606,0.3609309,0.36077464,0.35672614,0.35336235,0.35359704,0.3558236,0.35504404,0.34776244,0.33614635,0.3284162,0.33368585,0.3536776,0.37854055,0.39185074,0.3819516,0.34952495,0.30748856,0.27253708,0.25698483,0.2622558,0.28013015,0.29755202,0.30500746,0.29939297,0.28653574,0.2775519,0.28800026,0.32606697,0.38884726,0.4606091,0.5272816,0.5799236,0.6116484,0.61143285,0.5713385,0.49918282,0.4176608,0.35140547,0.31254348,0.29974627,0.30392638,0.31493762,0.32513237,0.331267,0.33353385,0.33262023,0.32886443,0.32488585,0.32822216,0.34617415,0.37809977,0.411329,0.42996672,0.42528915,0.40082583,0.36620298,0.33065668,0.30017853,0.2790637,0.26833153,0.26608467,0.26797915,0.2732905,0.2823297,0.29316902,0.2972627,0.2887516,0.2751237,0.28104356,0.32923767,0.4192578,0.51662564,0.5787864,0.58213437,0.53971684,0.48111656,0.4329636,0.40495434,0.39595416,0.39832345,0.4025717,0.40035436,0.38915753,0.37259805,0.35562885,0.3407983,0.32887012,0.32267225,0.32520756,0.33463302,0.34134698,0.33478022,0.31362233,0.2891568,0.2761598,0.27995896,0.29182088,0.2985459,0.29518953,0.28985536,0.29530522,0.3162121,0.34612146,0.37389806,0.39770672,0.42389533,0.46070674,0.5058432,0.55089754,0.5852699,0.60160685,0.5935197,0.5613819,0.5137968,0.4661684,0.42869994,0.4075705,0.4097972,0.44428,0.5074207,0.5702422,0.5950687,0.5616527,0.487206,0.40692607,0.35103366,0.32792687,0.331194,0.34668347,0.35932544,0.35650995,0.33443514,0.29912236,0.26277614,0.2357114,0.2240171,0.22913958,0.25012138,0.2815168,0.31544852,0.34397426,0.3654363,0.38277295,0.39993283,0.41541183,0.42501533,0.42633823,0.42353833,0.42143342,0.41930726,0.40736154,0.37677315,0.32927117,0.28200945,0.2563975,0.2641125,0.2968894,0.33150354,0.34528482,0.33138737,0.3037103,0.28407887,0.2866135,0.30627272,0.32607076,0.32943484,0.31207082,0.28131267,0.24892245,0.22484033,0.21552126,0.22530578,0.253687,0.29272303,0.32867435,0.34993234,0.35309544,0.34193623,0.3219855,0.2975448,0.2725217,0.2517139,0.23944373,0.23722978,0.24217284,0.24818654,0.24943049,0.24430187,0.23627926,0.23064019,0.23005672,0.23339571,0.2376784,0.24112105,0.24340028,0.24511886,0.24631272,0.24732469,0.24950457,0.25552574,0.26736262,0.2836314,0.29906568,0.30742863,0.30640712,0.30045727,0.29648542,0.29784536,0.2987245,0.291814,0.2747338,0.25701293,0.2483892,0.25232685,0.2605271,0.26673415,0.27234578,0.28691238,0.31331244,0.34213766,0.35563853,0.343367,0.3096305,0.2697778,0.23708214,0.21506655,0.19901131,0.18327431,0.16647111,0.15099926,0.14022602,0.13591988,0.13770978,0.14378516,0.15199767,0.16307564,0.18165565,0.21477576,0.26327986,0.31830075,0.36452398,0.3934529,0.40779313,0.4162177,0.42166042,0.4204524,0.4098321,0.39462742,0.3841283,0.38407078,0.39302766,0.404392,0.41084555,0.40584615,0.38622454,0.35355648,0.31685075,0.2891721,0.28278008,0.30083355,0.33581448,0.37255344,0.39885068,0.40941417,0.40581977,0.388616,0.35814586,0.31624708,0.27128425,0.23343618,0.2104886,0.20463043,0.21478128,0.23785663,0.26711622,0.2933941,0.3086461,0.31320164,0.3137473,0.3180782,0.326407,0.33194113,0.3269451,0.31053004,0.29085353,0.27701235,0.2716514,0.26762733,0.25791645,0.242804,0.23180568,0.23395504,0.25084096,0.2749535,0.2971469,0.31203064,0.32065353,0.32433724,0.32291576,0.31186292,0.2900237,0.26001135,0.23316012,0.22222191,0.23705055,0.27305627,0.31092975,0.32471007,0.30069962,0.24786736,0.19241418,0.15661025,0.14558579,0.14831953,0.15509237,0.16536485,0.18498643,0.21414043,0.24304144,0.25843617,0.25185928,0.22658116,0.19499685,0.17392832,0.17684023,0.20700176,0.25587308,0.30345473,0.32986253,0.32332197,0.2893114,0.24407834,0.20752753,0.19305319,0.20409642,0.23252635,0.26087293,0.27181602,0.25760657,0.22574794,0.19097239,0.16592257,0.1536798,0.15057975,0.15063353,0.15093587,0.15269308,0.16099511,0.18078668,0.21278715,0.24935226,0.27830258,0.29018244,0.2853868,0.27133968,0.25622532,0.24621351,0.24606729,0.25979385,0.28492108,0.31278765,0.33202383,0.33820614,0.33496782,0.32942927,0.32403576,0.31527364,0.29985645,0.2805984,0.26509628,0.25700757,0.25085634,0.23667294,0.21055593,0.1803301,0.15987849,0.1599644,0.18192762,0.21889448,0.2583647,0.28845665,0.3035411,0.3073871,0.30676433,0.3039668,0.29565498,0.28198776,0.27005982,0.2685207,0.27476248,0.27698377,0.26524597,0.24433802,0.22781666,0.2240415,0.22783202,0.22899164,0.22582962,0.22783476,0.24399735,0.2714447,0.2962667,0.30754134,0.3059241,0.300548,0.29600942,0.28812656,0.27038762,0.24542141,0.22565077,0.22458512,0.24430299,0.27369738,0.29485354,0.2962731,0.27857187,0.25375882,0.2347923,0.22788472,0.22868903,0.22924262,0.22543032,0.22197066,0.22581877,0.23893146,0.25393832,0.26176056,0.2584271,0.24845143,0.23838514,0.231932,0.22844683,0.22697304,0.22831292,0.23437448,0.2453257,0.25925556,0.27285573,0.2840947,0.29244232,0.2990544,0.30353025,0.30345085,0.29607308,0.28315294,0.27064243,0.26415142,0.2643498,0.2693207,0.27785495,0.28965035,0.3011471,0.30714926,0.30577752,0.30301943,0.3075205,0.3231885,0.34362528,0.35620758,0.34976268,0.3236463,0.2887193,0.2615586,0.2520294,0.25735852,0.2639812,0.2591555,0.23898514,0.21079141,0.1874975,0.18024458,0.19241278,0.2174773,0.24376215,0.26150683,0.26822975,0.2672831,0.26476315,0.26706338,0.27909908,0.30004823,0.32169834,0.33184233,0.32385173,0.30041608,0.27264526,0.25103176,0.24162336,0.24339537,0.25358638,0.26909506,0.28810224,0.30522737,0.3136493,0.30808952,0.2927108,0.27648917,0.26643968,0.25933215,0.248985,0.23316337,0.21861313,0.21312352,0.22353387,0.2514381,0.29516566,0.34368086,0.38215843,0.3965088,0.38405052,0.35051122,0.30776498,0.2670936,0.23845053,0.22583096,0.22640197,0.23247413,0.23876064,0.24624006,0.25675297,0.26685107,0.2661852,0.24953024,0.22292574,0.20339899,0.20372911,0.22495954,0.25485918,0.2803851,0.29401517,0.29749987,0.29326606,0.28337255,0.26892257,0.25839356,0.26259434,0.2866682,0.31958908,0.34255362,0.34307638,0.32540414,0.3015249,0.28043404,0.26283112,0.2503238,0.24834706,0.26479423,0.29989317,0.344879,0.38465253,0.40726686,0.40936026,0.39750934,0.38123918,0.3654743,0.3465788,0.31984344,0.28725824,0.2609196,0.25078854,0.25629506,0.2637174,0.2613344,0.24677372,0.22985087,0.22103363,0.22642426,0.24397445,0.26667124,0.28504908,0.29119864,0.28279725,0.26465598,0.24663694,0.23827343,0.2429765,0.25715753,0.27210188,0.28034627,0.2780328,0.266678,0.2505633,0.23539358,0.22559613,0.22290803,0.22605062,0.23295356,0.24271674,0.2554104,0.26876345,0.27791774,0.27817142,0.27069166,0.26120117,0.2557139,0.25367764,0.25073254,0.24307,0.23431629,0.23193069,0.24193859,0.26212195,0.28436768,0.30024016,0.30660632,0.3054212,0.3016825,0.30025604,0.30453536,0.31292796,0.3196306,0.31725708,0.30314085,0.28068018,0.25752172,0.24183883,0.23956926,0.25302178,0.27780423,0.30385736,0.31730154,0.30999497,0.2838169,0.25331008,0.23416169,0.23464672,0.2500807,0.27181968,0.29546165,0.32173827,0.35078034,0.37590942,0.3896023,0.38783255,0.37554023,0.35947087,0.34383163,0.32600906,0.30179095,0.2704386,0.23765439,0.21107759,0.19488476,0.18715276,0.18469499,0.18754767,0.19972426,0.22210191,0.24892445,0.27026942,0.28158996,0.28496292,0.2852303,0.28225183,0.2752646,0.2671628,0.26806274,0.28500518,0.31530318,0.34501374,0.3593676,0.3517677,0.32433328,0.28481004,0.24127693,0.20539181,0.18862247,0.19894867,0.23275392,0.2771219,0.31619957,0.33879933,0.34152994,0.32893708,0.3121267,0.30297175,0.30534884,0.31103408,0.30596593,0.28283855,0.24709366,0.21171303,0.18709297,0.17677067,0.18053769,0.19754703,0.22422099,0.25160038,0.2689618,0.2720034,0.26499394,0.25513694,0.24608175,0.23972726,0.24034531,0.2543659,0.2827095,0.3170115,0.3427299,0.35026792,0.33890936,0.31582686,0.28774536,0.26114467,0.24212857,0.2370203,0.24573123,0.25961956,0.26719296,0.2642208,0.2581685,0.2602543,0.2746408,0.29443967,0.3102567,0.31991708,0.32927012,0.34296727,0.35734963,0.3634533,0.35679397,0.34292683,0.3326013,0.33291933,0.34199175,0.35366356,0.3621132,0.36548284,0.36170363,0.35054576,0.33236834,0.31172878,0.291566,0.27445957,0.26089123,0.25339082,0.25445008,0.2649456,0.28185531,0.29886165,0.30958286,0.31131017,0.30637336,0.30001962,0.29491588,0.28991437,0.28148183,0.26965806,0.25915846,0.25710508,0.26690936,0.28561458,0.30646214,0.32400963,0.33692184,0.34528187,0.34853247,0.34622216,0.34247515,0.3446143,0.35819903,0.3804179,0.4029595,0.41791072,0.42427933,0.42560783,0.426232,0.4261584,0.42165747,0.40582612,0.37419114,0.3287451,0.28186816,0.24923445,0.23968697,0.24709876,0.25734934,0.2608864,0.26055452,0.26449397,0.2755275,0.2881603,0.29669368,0.301362,0.30520883,0.3077571,0.3046005,0.29501307,0.28364846,0.27786005,0.27997994,0.28837,0.29892784,0.30838558,0.31400755,0.3134782,0.30702206,0.29669657,0.2869428,0.28011283,0.27703097,0.27713752,0.28168845,0.2927319,0.30987617,0.3291197,0.3443497,0.3525915,0.35484707,0.35554898,0.35799494,0.3617767,0.3616921,0.35116434,0.32682988,0.2919445,0.254266,0.22210796,0.19935198,0.18636082,0.18144773,0.18420796,0.19366027,0.20789458,0.22387685,0.24124093,0.26119402,0.28442705,0.30636802,0.32119942,0.32474554,0.31959847,0.3104876,0.30208778,0.29389122,0.28270826,0.26444638,0.23883647,0.20987941,0.18555252,0.17493355,0.18428312,0.21205072,0.2472771,0.27485433,0.28507075,0.2796577,0.2694732,0.26752156,0.2819171,0.31373164,0.35567233,0.3963593,0.42422035,0.43508682,0.4318265,0.42214975,0.41161636,0.40272614,0.39597988,0.3936492,0.40002346,0.41760108,0.44343746,0.46758533,0.48062345,0.47866914,0.4665371,0.45026132,0.4331399,0.4147869,0.3956671,0.37795863,0.36267006,0.34869793,0.335567,0.32799545,0.3318621,0.34844902,0.36946347,0.38499045,0.3892192,0.38546574,0.3789407,0.37404668,0.3704107,0.36615983,0.35732952,0.34060478,0.3147354,0.28367803,0.2546101,0.23354751,0.22171305,0.2165705,0.21517973,0.2154067,0.21571976,0.21485025,0.21311446,0.21263348,0.21554273,0.22205727,0.22970851,0.23606479,0.23982209,0.24137457,0.24077155,0.23901151,0.23883952,0.24425705,0.2557865,0.2683268,0.27477422,0.27287695,0.2680638,0.2676328,0.2745397,0.284596,0.29294825,0.29750273,0.30019283,0.30084765,0.29748878,0.2879269,0.27565882,0.2683201,0.27393094,0.29467773,0.3246056,0.35269198,0.36813638,0.36652878,0.34949648,0.32299015,0.29293463,0.26483577,0.2422626,0.22726445,0.219171,0.2165634,0.21825069,0.22459225,0.23568206,0.25014845,0.26501456,0.2775029,0.28672382,0.2934481,0.2987828,0.30174318,0.30022952,0.29328078,0.28497612,0.28147042,0.2866002,0.29659596,0.3043467,0.3045849,0.29957724,0.29601908,0.30009,0.3117251,0.32463098,0.33068123,0.32521692,0.30997178,0.29065216,0.27323338,0.25998756,0.24982369,0.24039213,0.2315861,0.22535808,0.22377737,0.22626807,0.23055114,0.23534282,0.24170989,0.25101012,0.26216188,0.2723428,0.2805722,0.28754807,0.29349825,0.29403338,0.28547838,0.26820856,0.24963419,0.23618643,0.22871338,0.22198384,0.21138573,0.19750588,0.1854103,0.18153657,0.19147097,0.21831329,0.26020208,0.30825534,0.3501586,0.3767188,0.38730618,0.38777986,0.38519832,0.38276482,0.38217857,0.38567767,0.3978043,0.4184047,0.4409599,0.4533122,0.4473314,0.42271057,0.38759896,0.3527212,0.3272831,0.31555673,0.3165886,0.32472327,0.33209804,0.3314236,0.31929973,0.29786697,0.27513313,0.26150283,0.26542696,0.28631917,0.31508398,0.33702374,0.34350434,0.33308986,0.31259394,0.289273,0.27177462,0.2673733,0.27961135,0.30532315,0.33358288,0.35475042,0.36131003,0.35495743,0.33906403,0.32180202,0.30782032,0.30145615,0.30175373,0.3065076,0.31114456,0.3136778,0.314423,0.31569043,0.31798044,0.32021654,0.32180098,0.32373896,0.3270918,0.3304365,0.33048728,0.32313523,0.3058664,0.2801248,0.25484988,0.24461089,0.26180282,0.30483434,0.35738835,0.39623845,0.40841138,0.39455745,0.36762762,0.3397964,0.32020083,0.311929,0.31579304,0.32853433,0.34405467,0.35563564,0.36062968,0.36140501,0.36089244,0.35944963,0.35755277,0.36321068,0.38915816,0.43966493,0.49830619,0.53537506,0.52996504,0.4848964,0.42179307,0.36318907,0.32176617,0.30020073,0.2973206,0.31080115,0.33697486,0.36843523,0.39493087,0.40656206,0.39968273,0.37916258,0.3563384,0.34381318,0.34752014,0.36528158,0.3855637,0.39804575,0.3958166,0.38242233,0.36541894,0.3558333,0.35859904,0.37144628,0.38395616,0.38728428,0.3792955,0.36747918,0.3622491,0.37297657,0.40135893,0.44328675,0.48942256,0.5330145,0.566951,0.5849115,0.5786478,0.5487713,0.50495905,0.46345294,0.43366483,0.41710988,0.40930298,0.40647003,0.40491092,0.40188304,0.3956442,0.38745192,0.38026872,0.37697205,0.37939063,0.3883187,0.40383315,0.42335594,0.44194755,0.45361027,0.45573446,0.4497883,0.44062552,0.43229234,0.42722616,0.42521897,0.4260428,0.4292349,0.43552443,0.44417188,0.45360565,0.4608196,0.46474192,0.46614406,0.46882594,0.47765663,0.49717316,0.5251332,0.5505201,0.55657166,0.5344324,0.48952606,0.43956062,0.40134418,0.3827406,0.38164476,0.3900708,0.40015826,0.40594316,0.40640938,0.40261188,0.39783075,0.39396274,0.39314282,0.39573976,0.4022933,0.41031396,0.4168227,0.41778317,0.41405806,0.40927872,0.40870723,0.41250357,0.41753837,0.41991922,0.4197742,0.41903496,0.4190574,0.41875157,0.4177563,0.4183078,0.42474282,0.4392848,0.46076298,0.4869149,0.51833224,0.55439025,0.58760196,0.60086983,0.58090645,0.5287535,0.46391368,0.4104532,0.38717803,0.4014405,0.45018172,0.5175299,0.5770498,0.60206205,0.58246255,0.5296616,0.46741998,0.41493973,0.38077047,0.36585006,0.367426,0.38069716,0.3972144,0.4103305,0.41582426,0.41442624,0.40687272,0.39489338,0.38040963,0.367726,0.36088845,0.36144853,0.36648524,0.37128058,0.37302455,0.37325683,0.37567112,0.38437688,0.40193352,0.43171835,0.47165713,0.51343757,0.538538,0.5338797,0.4974531,0.44508055,0.39539155,0.36180386,0.34467041,0.33706188,0.33099642,0.3224547,0.31161624,0.29958227,0.28881884,0.283166,0.28937998,0.31109336,0.34609327,0.38312587,0.41018733,0.4189837,0.41209605,0.39746353,0.3852404,0.37954628,0.38000298,0.38170144,0.3807987,0.37436152,0.3631586,0.3489095,0.33602038,0.32910082,0.33492503,0.35673925,0.39298177,0.4344652,0.473725,0.5053958,0.52731854,0.5310102,0.5096566,0.4626752,0.40331843,0.3479803,0.30950233,0.29122135,0.29025584,0.29964396,0.3121791,0.3227227,0.32953987,0.332781,0.3325318,0.329409,0.3260994,0.32873046,0.34256598,0.36819792,0.39894405,0.42652938,0.44534937,0.45548737,0.45862857,0.45650396,0.4496099,0.43937543,0.42798793,0.41803336,0.41135475,0.40848398,0.409223,0.4128418,0.41884527,0.42819127,0.4441199,0.4722662,0.5121361,0.5528974,0.5726237,0.5558738,0.50389606,0.4360125,0.3736519,0.32884178,0.30347276,0.29446247,0.2991035,0.31269324,0.3291451,0.34115753,0.3447242,0.34013566,0.33270645,0.33035573,0.34033954,0.36297718,0.3897345,0.40732166,0.40899563,0.39866826,0.38694465,0.38030943,0.37818432,0.37580356,0.37033972,0.36242464,0.35471392,0.34929398,0.3468658,0.34850344,0.35735908,0.37648198,0.40521538,0.43862113,0.47494173,0.5149874,0.5575133,0.5873615,0.5872903,0.54954547,0.48937622,0.43021873,0.3937557,0.38971165,0.4203371,0.47580004,0.53532434,0.57066816,0.56591487,0.5250881,0.47104,0.4257301,0.40169764,0.39927092,0.41251644,0.43180764,0.44582295,0.44717464,0.43542147,0.41749406,0.4012086,0.39136025,0.38836393,0.3900838,0.39301243,0.3938093,0.39081272,0.38593924,0.38296983,0.38495204,0.39075032,0.39838806,0.4085643,0.42956448,0.46714255,0.51755196,0.55869573,0.56739604,0.5311889,0.46174803,0.38216412,0.316129,0.27569032,0.2624345,0.27089038,0.29318282,0.3206372,0.34501806,0.35964522,0.36163297,0.3528308,0.33952,0.3309447,0.333297,0.34696314,0.36347678,0.37446654,0.3745577,0.36670673,0.3557882,0.34833142,0.34712204,0.35181177,0.35682848,0.35662985,0.3488516,0.33772814,0.3310373,0.33736578,0.36050233,0.3978031,0.44012782,0.4802157,0.51433134,0.54205084,0.5565397,0.54967487,0.517759,0.47087643,0.4247214,0.3917803,0.3742795,0.36846325,0.36929643,0.37344268,0.3778567,0.3805684,0.38083705,0.38048956,0.3815354,0.38568208,0.39328825,0.40383664,0.41528186,0.42422852,0.42827836,0.42743456,0.42501307,0.42467865,0.42895353,0.43740925,0.4476848,0.456614,0.4622052,0.46419716,0.46383965,0.46241656,0.4609833,0.45978668,0.46059754,0.46717143,0.4861041,0.5187575,0.5568573,0.5803619,0.57270837,0.53161204,0.47421205,0.42299405,0.3925601,0.38280508,0.3844353,0.38827887,0.3896232,0.38914418,0.38856387,0.3906285,0.39508358,0.4010264,0.4050713,0.4075618,0.40970418,0.4139633,0.418058,0.4188044,0.41376165,0.40479302,0.39522818,0.38815638,0.38506332,0.38626716,0.39062276,0.3960441,0.39971432,0.40115193,0.40196785,0.40731093,0.4203029,0.44163808,0.46755743,0.49739552,0.5314667,0.5678144,0.5919226,0.58585465,0.5405194,0.46948853,0.39798498,0.350811,0.33947745,0.3668089,0.42289677,0.48837724,0.53325313,0.5377228,0.50087875,0.44453588,0.39399734,0.36597225,0.36369154,0.38090634,0.40678272,0.42813483,0.43583074,0.42872128,0.41428542,0.4020928,0.39753067,0.40009785,0.40637794,0.41326728,0.41903532,0.42278755,0.4243302,0.42430663,0.4239997,0.42355904,0.42293885,0.42353305,0.43389878,0.46248022,0.50937027,0.5534799,0.5662534,0.5296714,0.45431697,0.3691051,0.30218259,0.26538116,0.25501776,0.2605276,0.27157104,0.28106186,0.28585172,0.28642428,0.28523338,0.2853595,0.28949884,0.30080426,0.31992045,0.34303656,0.36055014,0.36390376,0.3513663,0.33054888,0.3122723,0.30463704,0.30985114,0.326098,0.34913313,0.37389815,0.3950291,0.40901732,0.41608837,0.42062083,0.42880988,0.44373432,0.46419093,0.48723462,0.5114776,0.53511244,0.55044466,0.54700255,0.5194186,0.47546577,0.4298133,0.39493966,0.3735278,0.36184087,0.35419968,0.349125,0.3492234,0.35823378,0.37564668,0.39445174,0.40742663,0.41145086,0.41172633,0.4137857,0.42069435,0.42904326,0.43541077,0.43793127,0.4388496,0.44066954,0.44587538,0.45463595,0.46600983,0.4764609,0.48262024,0.48167253,0.47466102,0.4650575,0.45792833,0.4558209,0.45904028,0.4681237,0.48758578,0.5204646,0.5605276,0.58753556,0.5801917,0.5303179,0.4511728,0.36705577,0.29922268,0.25632504,0.2352701,0.22856386,0.22985089,0.23609722,0.24436994,0.24911858,0.24207358,0.21674784,0.17363518,0.121606074,0.07317221,0.037565198,0.016734572,0.0071009058,0.0035196654,0.0023831937,0.0019609125,0.0017203455,0.0015271747,0.0013608336,0.0012206585,0.0011080626,0.0010254706,0.0009656993,0.0009182326,0.0008690003,0.0008063754,0.00072411605,0.000625489,0.00052186585,0.00042576986,0.00034362022,0.00027494927,0.00021663174,0.00016629203,0.00012346213,8.768759E-05,5.91007E-05,3.7307942E-05,2.225567E-05,1.3202559E-05,1.0769304E-05,0.0008229224,0.0050362474,0.017978974,0.044605333,0.085361384,0.13190825,0.17183198,0.1954546,0.20349269,0.20293675,0.2020175,0.20315063,0.20640425,0.21012713,0.21485573,0.22061835,0.22879983,0.23886359,0.24798973,0.24947213,0.23916046,0.2207097,0.20663859,0.20821197,0.22709791,0.25426427,0.28141662,0.30702773,0.33531252,0.3646908,0.3861729,0.38762274,0.365132,0.3238517,0.27549338,0.23101455,0.20009822,0.1881984,0.19607566,0.21686101,0.24087708,0.26051232,0.27503976,0.28737387,0.2995831,0.30956864,0.3130611,0.3077183,0.29541528,0.28126943,0.26867718,0.25690356,0.24111213,0.21744074,0.18538617,0.14850932,0.111724295,0.07974309,0.05579686,0.04088596,0.033554267,0.030528001,0.02860763,0.026110562,0.023981484,0.025793245,0.037248116,0.06306207,0.10295111,0.14827783,0.18578732,0.205293,0.20752156,0.20214342,0.19935673,0.20071612,0.19929822,0.1892997,0.17569609,0.17513026,0.2015479,0.25378054,0.31265542,0.35783005,0.37988052,0.38449395,0.37992573,0.37161925,0.35936308,0.3440002,0.3264762,0.30881628,0.28965005,0.2659543,0.2335671,0.19438304,0.15853654,0.1432152,0.15873714,0.20046656,0.24757522,0.28060627,0.2916404,0.28717265,0.27600843,0.26372454,0.2535629,0.24880314,0.2520443,0.26027825,0.26773652,0.26896346,0.26247826,0.24835418,0.2274891,0.20287223,0.18155725,0.17073256,0.17304158,0.18345803,0.19703911,0.21138054,0.22885692,0.24795376,0.26565564,0.27726492,0.28208172,0.27971354,0.270555,0.2556094,0.23899849,0.2261296,0.21974052,0.21631308,0.20829104,0.18978624,0.16443843,0.144683,0.1457895,0.1739661,0.22268133,0.27527407,0.31493497,0.3321803,0.32801995,0.31185764,0.29485416,0.28448692,0.28105608,0.28111854,0.28023735,0.27498662,0.26332545,0.24715672,0.23479412,0.23439997,0.24626689,0.25876838,0.26082984,0.2502169,0.23478492,0.22060259,0.20886493,0.19898552,0.19514214,0.20339209,0.22490172,0.2510976,0.26792368,0.26443598,0.2398584,0.2025621,0.163677,0.1307582,0.106029324,0.0883056,0.07532716,0.065009855,0.055808242,0.04695162,0.038617034,0.032176387,0.030386865,0.037269633,0.055922102,0.08583668,0.12109951,0.15292032,0.17357726,0.17997073,0.17463963,0.16501552,0.16051684,0.16677271,0.18160403,0.19602166,0.200812,0.19159187,0.16983163,0.14118719,0.11471038,0.10136012,0.1116851,0.14974754,0.21062331,0.2781795,0.33395627,0.3635169,0.36509,0.34482297,0.31331137,0.27921668,0.2497536,0.22872205,0.2156182,0.20404477,0.18640018,0.15921712,0.12947625,0.10962698,0.11212813,0.13835065,0.18012728,0.22178139,0.25123158,0.2631433,0.26038837,0.24881613,0.23477598,0.2233364,0.21762878,0.21670097,0.21606712,0.21095872,0.20138742,0.19305567,0.19328515,0.20425439,0.21908443,0.22514476,0.21374883,0.18879478,0.16683197,0.16530974,0.1904143,0.2317601,0.27149883,0.29437932,0.2954956,0.27638566,0.2418232,0.19667704,0.14893065,0.109237134,0.087351926,0.08613806,0.09998142,0.11975501,0.13862966,0.15460998,0.16823564,0.18063639,0.19329792,0.20708527,0.22082037,0.23023629,0.23193769,0.22633885,0.21805805,0.21139961,0.20785017,0.20621109,0.20511848,0.20408736,0.20385991,0.20597579,0.21257742,0.22481279,0.24071622,0.25445858,0.25906852,0.25277212,0.2413289,0.23453204,0.23638676,0.24245967,0.24419416,0.23802401,0.22631444,0.21288095,0.1981541,0.18067275,0.16114448,0.14402018,0.13485934,0.13686013,0.14950098,0.16901614,0.18934445,0.20334314,0.20674235,0.20166855,0.19668047,0.19954942,0.21055336,0.22191952,0.22491075,0.2164886,0.19995381,0.18118685,0.16460717,0.15233187,0.14461751,0.14092995,0.14031275,0.1415068,0.1431594,0.14385329,0.14303254,0.14174451,0.14408831,0.15547693,0.17860205,0.20835502,0.2331735,0.24224477,0.23302668,0.21179748,0.18777879,0.16791385,0.15493862,0.14872922,0.14722763,0.1479925,0.14965212,0.15304625,0.16044308,0.17418659,0.19483514,0.22164802,0.25151312,0.28012347,0.30013967,0.3049219,0.2915797,0.2658179,0.23894924,0.22012888,0.20996112,0.2009965,0.18573917,0.16240156,0.1347897,0.10875938,0.0891479,0.081084155,0.08793663,0.107533455,0.12965038,0.14175174,0.14066534,0.13498913,0.13713895,0.15019041,0.16716468,0.1794013,0.18407543,0.18402159,0.18280365,0.18327737,0.1870364,0.19407208,0.20183505,0.20648746,0.20631136,0.20236771,0.19652706,0.1873896,0.17120273,0.14605963,0.11696135,0.09403366,0.085914485,0.09329436,0.10917015,0.12419858,0.13114464,0.12620367,0.10847399,0.08117694,0.051167965,0.026229294,0.0104274815,0.0030472411,0.00062549434,0.00013345866,7.6544056E-05,6.446078E-05,5.9444243E-05,5.889677E-05,9.751926E-05,0.00032131476,0.0019052179,0.0078388015,0.023514936,0.052937765,0.09516261,0.14088137,0.1781917,0.19796342,0.19946526,0.18622583,0.16335098,0.13535953,0.109551005,0.09528318,0.10030205,0.12487916,0.16208506,0.20128465,0.23349108,0.2525307,0.2562587,0.24592048,0.22535016,0.19902243,0.17168343,0.14998068,0.1404385,0.14489704,0.15553111,0.15941651,0.14717424,0.120135784,0.08748045,0.059482377,0.042270124,0.037744638,0.044914484,0.06042965,0.07911804,0.09536529,0.10577134,0.109360255,0.107598424,0.10224085,0.09610802,0.09168547,0.09124675,0.09433037,0.09826458,0.09915028,0.09456133,0.08451568,0.07146389,0.060352623,0.058551222,0.07393951,0.10975149,0.15994579,0.20949034,0.2416383,0.24636245,0.22504227,0.18785436,0.14866133,0.11968982,0.10803937,0.11313549,0.12663245,0.13709418,0.13653922,0.12454427,0.10607203,0.08709892,0.07224064,0.06509029,0.067998216,0.08028766,0.09747091,0.11386269,0.12562783,0.13204533,0.13333733,0.12997147,0.12254351,0.11319893,0.104374975,0.09798425,0.09401402,0.09130717,0.087858476,0.082056984,0.073388316,0.063815765,0.058230367,0.06324497,0.082911536,0.11420997,0.14620839,0.16644327,0.16885108,0.15746868,0.14158212,0.12958115,0.12576555,0.13142268,0.14492287,0.16091798,0.17124265,0.169306,0.15420344,0.13090834,0.10685206,0.08894032,0.08273692,0.091704994,0.11487994,0.14504975,0.17165273,0.18687786,0.18899049,0.18038505,0.16366822,0.14219393,0.1212339,0.10765577,0.10509657,0.11227345,0.124319814,0.1366631,0.14631875,0.15154386,0.15209915,0.1508768,0.15511827,0.17286067,0.20638709,0.24711244,0.27930978,0.28960705,0.2755192,0.24501674,0.21025382,0.18076082,0.16107267,0.15134454,0.14960808,0.15358467,0.16186999,0.17280102,0.18333517,0.18846534,0.18452328,0.17217273,0.1578628,0.14953993,0.151338,0.1604322,0.17013712,0.17539775,0.17646575,0.17728852,0.18151076,0.18946564,0.19854134,0.20533533,0.20706473,0.20215018,0.19004202,0.17197411,0.15040576,0.12783274,0.1053857,0.08343067,0.063092895,0.04650553,0.035362307,0.029480614,0.02716127,0.026717888,0.027375644,0.029086256,0.031764537,0.03500536,0.03822094,0.040973168,0.043186873,0.045175448,0.04748859,0.05064274,0.05476294,0.059537496,0.064277284,0.06839964,0.07152114,0.07369856,0.07530575,0.07714281,0.080018856,0.08421609,0.08919009,0.09407694,0.09847797,0.10246327,0.10600174,0.10866183,0.11018459,0.11081647,0.11086703,0.1101441,0.10834255,0.10591104,0.10396495,0.10329046,0.10368841,0.10461617,0.10608661,0.10862986,0.11249894,0.117190324,0.12202605,0.12686051,0.13233308,0.13935484,0.14885475,0.16201909,0.18046106,0.20531064,0.2347048,0.26169506,0.27483815,0.26358262,0.22542548,0.16938098,0.1116677,0.066273525,0.03837798,0.024576366,0.018520532,0.015346404,0.0130364895,0.011135824,0.0096571855,0.008574284,0.0077665877,0.0070827142,0.00638085,0.005612304,0.0048093414,0.0040626507,0.0035018146,0.0032498222]