{"schema":"history/1","ticker":"SNAP","first":"2017-03-02","last":"2025-12-31","gaps":[1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,2,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,4,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,2,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,2,1,3,1,1,1,1,3,1,1,1,1,3,2,1,1,3,2,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,2,1,3,1,2,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,4,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,4,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,2,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,4,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,2,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,2,1,3,1,2,1,3,1,1,2,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1],"tr":[3.033457,3.356877,2.945477,2.656753,2.826518,2.814126,2.73482,2.613383,2.550186,2.57373,2.464684,2.421314,2.469641,2.525403,2.703841,2.866171,2.817844,2.952912,2.752169,2.7943,2.754647,2.791822,2.769517,2.743494,2.565056,2.548947,2.579926,2.598513,2.565056,2.505576,2.501859,2.47088,2.546468,2.555143,2.620818,2.593556,2.627014,2.644362,2.674102,2.727385,2.7943,2.752169,2.724907,2.703841,2.799257,2.873606,2.783147,2.889715,2.847584,2.236679,2.371747,2.570012,2.574969,2.465923,2.511772,2.478315,2.488228,2.482032,2.54399,2.717472,2.629492,2.657993,2.628253,2.644362,2.613383,2.504337,2.522924,2.423792,2.335812,2.240397,2.255266,2.242875,2.215613,2.106568,2.173482,2.215613,2.144981,2.140025,2.185874,2.173482,2.142503,2.148699,2.200743,2.216853,2.201983,2.179678,2.146221,2.144981,2.128872,2.105328,1.916976,1.888476,1.944238,1.892193,1.874845,1.825279,1.855019,1.845105,1.7943,1.744734,1.72119,1.660471,1.73482,1.711276,1.693928,1.623296,1.567534,1.60223,1.675341,1.659232,1.613383,1.680297,1.70632,1.465923,1.561338,1.578686,1.625774,1.654275,1.736059,1.682776,1.800496,1.869888,1.800496,1.831475,1.88228,1.857497,1.853779,1.798017,1.768278,1.795539,1.796778,1.877323,1.900867,1.892193,1.874845,1.862454,1.847584,1.889715,1.848823,1.82404,1.754647,1.70632,1.697646,1.638166,1.723668,1.74969,1.790582,1.801735,1.843866,1.814126,1.800496,1.7943,1.832714,1.8228,1.776952,1.980173,2.050805,2.04461,1.991326,1.993804,1.951673,1.889715,1.928129,1.855019,1.807931,1.754647,1.783147,1.913259,1.942999,1.900867,1.798017,1.802974,1.892193,1.83767,1.873606,1.599752,1.534077,1.581165,1.536555,1.557621,1.54399,1.556382,1.609665,1.537794,1.52912,1.563817,1.607187,1.61834,1.686493,1.697646,1.707559,1.718711,1.681537,1.851301,1.80917,1.821561,1.86741,2.009913,1.973978,1.977695,1.987608,1.951673,1.995043,1.954151,1.920694,1.904585,1.877323,1.859975,1.83891,1.840149,1.810409,1.85254,1.89715,1.807931,1.796778,1.742255,1.747212,1.815366,1.80917,1.748451,1.672862,1.675341,1.736059,1.739777,1.755886,1.765799,1.789343,1.698885,1.680297,1.669145,1.643123,1.675341,1.724907,1.698885,1.716233,1.742255,2.571252,2.402726,2.329616,2.30855,2.302354,2.423792,2.447336,2.530359,2.345725,2.309789,2.169765,2.16233,2.11772,2.022305,2.146221,2.13259,2.231722,2.261462,2.231722,2.232962,2.187113,2.215613,2.244114,2.169765,2.211896,2.131351,2.107807,2.034696,1.982652,2.053284,2.053284,2.027261,2.013631,2.007435,1.976456,1.966543,1.791822,1.744734,1.807931,1.783147,1.765799,1.753408,1.7943,1.833953,1.848823,1.843866,1.806691,1.843866,1.815366,1.83891,1.883519,1.925651,1.936803,1.801735,1.821561,1.763321,1.775713,1.750929,1.366791,1.359356,1.337051,1.330855,1.359356,1.364312,1.364312,1.36803,1.360595,1.319703,1.311029,1.309789,1.311029,1.327138,1.330855,1.319703,1.313507,1.327138,1.307311,1.359356,1.4114,1.44114,1.526642,1.60223,1.627014,1.577447,1.620818,1.63197,1.662949,1.687732,1.718711,1.737299,1.741016,1.649318,1.586121,1.640644,1.635688,1.623296,1.610905,1.5886,1.660471,1.622057,1.629492,1.629492,1.636927,1.67658,1.69145,1.649318,1.660471,1.69145,1.655514,1.619579,1.662949,1.654275,1.664188,1.644362,1.659232,1.628253,1.659232,1.656753,1.589839,1.520446,1.548947,1.534077,1.57373,1.577447,1.6171,1.625774,1.515489,1.525403,1.525403,1.557621,1.52912,1.509294,1.508055,1.473358,1.453532,1.417596,1.417596,1.412639,1.44114,1.463445,1.399009,1.384139,1.372986,1.350682,1.312268,1.252788,1.214374,1.230483,1.206939,1.225527,1.140025,1.158612,1.151177,1.137546,1.131351,1.135068,1.141264,1.13259,1.109046,1.121437,1.114002,1.090458,1.050805,1.035936,1.013631,1.019827,0.9665428,0.9628253,0.9268897,0.8674102,0.8166047,0.8438662,0.889715,0.9169765,0.8983891,0.8748451,0.8438662,0.8438662,0.8475836,0.8451053,0.8166047,0.866171,0.7781908,0.7422553,0.7967782,0.819083,0.8921933,0.8451053,0.8550186,0.8785626,0.8921933,0.8698885,0.8413879,0.8240397,0.8314746,0.802974,0.8451053,0.8042131,0.7496902,0.7546468,0.7868649,0.7682776,0.8054523,0.7930607,0.8066914,0.7930607,0.8066914,0.7881041,0.7695167,0.739777,0.7187113,0.7026022,0.7125155,0.732342,0.7261462,0.7335812,0.6914498,0.7001239,0.6703841,0.6282528,0.6183395,0.6418835,0.6716233,0.6629492,0.7075589,0.6827757,0.7174721,0.7038414,0.7372986,0.7695167,0.7930607,0.7781908,0.7707559,0.7781908,0.7819083,0.8104089,0.6988848,0.7112763,0.7657993,0.7348203,0.7422553,0.7645601,0.7930607,0.7856258,0.7967782,0.8141264,0.8277571,0.8562577,0.8587361,0.8723668,1.064436,1.061958,1.127633,1.114002,1.090458,1.123916,1.138786,1.130112,1.149938,1.144981,1.163569,1.203222,1.254027,1.249071,1.215613,1.214374,1.214374,1.229244,1.249071,1.223048,1.17596,1.174721,1.234201,1.224287,1.245353,1.39777,1.3829,1.355638,1.317224,1.355638,1.364312,1.329616,1.328377,1.333333,1.318463,1.337051,1.365551,1.407683,1.390335,1.3829,1.39777,1.467162,1.520446,1.530359,1.489467,1.474597,1.483271,1.468401,1.448575,1.45601,1.446097,1.428748,1.48575,1.395291,1.337051,1.351921,1.390335,1.380421,1.387856,1.392813,1.462206,1.458488,1.384139,1.340768,1.360595,1.299876,1.252788,1.299876,1.320942,1.415118,1.423792,1.386617,1.429988,1.401487,1.377943,1.432466,1.433705,1.447336,1.48575,1.473358,1.448575,1.604709,1.60347,1.712515,1.718711,1.70632,1.677819,1.703841,1.748451,1.729864,1.679058,1.841388,1.817844,1.83891,1.804213,1.828996,1.800496,1.8228,1.806691,1.771995,1.778191,1.747212,1.828996,1.887237,1.876084,1.889715,1.890954,1.929368,1.934325,1.920694,1.858736,1.850062,1.802974,1.737299,1.753408,1.83767,2.182156,2.192069,2.216853,2.168525,2.097893,2.081784,2.066914,2.110285,2.039653,2.018587,1.971499,2.076828,2.104089,2.083024,2.106568,2.027261,1.981413,1.980173,2.002478,1.992565,2,1.992565,1.92689,1.996283,1.921933,1.92689,1.95539,1.961586,1.973978,1.957869,1.966543,2.05948,1.89715,1.861214,1.89715,1.954151,1.982652,1.952912,2.085502,2.094176,2.091698,2.111524,2.121437,2.111524,2.120198,2.106568,1.98513,1.957869,1.923172,1.833953,1.771995,1.799257,1.793061,1.753408,1.760843,1.744734,1.754647,1.705081,1.745973,1.693928,1.707559,1.675341,1.806691,1.73482,1.633209,1.675341,1.729864,1.819083,1.814126,1.841388,1.866171,1.881041,1.902107,1.83767,1.785626,1.754647,1.758364,1.783147,1.781908,1.793061,1.780669,1.727385,1.820322,1.878563,1.89715,1.868649,1.890954,1.920694,1.915737,1.902107,1.889715,1.80917,1.848823,1.858736,1.819083,1.826518,1.763321,1.745973,1.763321,1.790582,1.869888,1.872367,1.871128,1.872367,1.915737,1.92689,1.919455,1.934325,1.978934,1.986369,1.969021,2.023544,2.079306,2.075589,2.079306,2.110285,2.065675,2.151177,2.157373,2.230483,2.229244,2.254027,2.261462,2.36803,2.354399,2.366791,2.385378,2.360595,2.307311,2.35316,2.371747,2.339529,2.277571,2.258984,2.351921,2.006196,2.106568,2.122677,2.180917,2.182156,2.156134,2.179678,2.17596,2.127633,2.131351,2.096654,2.069393,2.001239,1.969021,1.94176,1.816605,1.755886,1.783147,1.679058,1.688971,1.716233,1.610905,1.418835,1.48575,1.339529,1.291202,1.406444,1.122677,1.104089,1.037175,1.173482,1.25031,1.319703,1.363073,1.391574,1.480793,1.509294,1.468401,1.473358,1.389095,1.39653,1.370508,1.506815,1.49938,1.638166,1.686493,1.677819,1.707559,1.682776,1.613383,1.608426,1.600991,1.541512,2.107807,1.990087,1.982652,2.095415,2.033457,2.209418,2.182156,2.080545,2.118959,2.169765,2.14746,2.249071,2.258984,2.241636,2.153656,2.078067,2.097893,2.118959,2.167286,2.166047,2.258984,2.174721,2.189591,2.157373,2.106568,2.261462,2.346964,2.422553,2.447336,2.444857,2.386617,2.519207,2.55886,2.613383,2.627014,2.442379,2.50062,2.571252,2.589839,2.703841,2.724907,2.807931,2.874845,2.933086,2.928129,3.033457,2.858736,2.861214,2.910781,2.939281,2.877323,2.902107,3.074349,3.272615,3.214374,3.163569,3.007435,2.94176,3.040892,2.961586,3.040892,3.131351,3.065675,2.874845,2.722429,2.744734,2.830235,2.799257,2.83767,2.776952,2.778191,2.629492,2.696406,2.688971,2.645601,2.674102,2.728625,2.67658,2.708798,2.713755,2.687732,2.700124,2.697646,2.716233,2.705081,2.67658,2.586121,2.6171,2.64684,2.693928,2.76456,2.799257,2.776952,2.915737,2.874845,2.780669,2.811648,2.930607,2.888476,2.997522,2.990087,3.032218,3.080545,3.011152,2.951673,2.959108,3.156134,3.143742,3.013631,3.05948,3.189591,3.22057,3.23544,3.318463,3.301115,3.412639,3.312268,3.304833,3.351921,3.345725,3.340768,3.345725,3.385378,3.477076,3.448575,3.551425,3.525403,4.522924,4.828996,5.349442,5.114002,5.14746,5.311029,5.231722,4.881041,5.054523,5.101611,5.203222,5.148699,5.623296,5.092937,4.775713,4.765799,4.993804,5.009913,4.842627,4.866171,5.034696,5.240397,5.488228,5.608426,5.488228,5.645601,5.703841,5.504337,5.51425,5.884758,5.94176,5.960347,6.127633,6.195787,6.090458,6.586121,6.608426,6.394052,6.363073,6.400248,6.598513,6.566295,6.488228,6.454771,6.4114,6.214374,5.980173,6.348203,6.115242,6.204461,6.144981,6.234201,6.173482,6.498141,6.534077,6.738538,6.995043,6.620818,6.075589,6.234201,6.244114,6.468401,6.741016,6.638166,6.648079,6.60347,6.065675,6.583643,6.560099,7.04461,7.294919,7.343247,7.225527,7.885998,7.903346,7.781908,7.757125,7.711276,7.679058,7.783147,7.771995,7.790582,8.118959,7.857497,8.729864,8.608426,7.83891,8.136307,8.261462,7.993804,7.437423,7.151177,7.116481,6.553903,6.976456,6.82404,7.387856,7.768278,7.898389,7.711276,7.924411,7.247831,7.231722,7.206939,6.847584,6.258984,6.370508,6.394052,6.142503,6.14746,6.479554,6.752169,6.705081,7.048327,7.463445,7.831475,7.840149,7.737299,7.737299,7.684015,7.916976,7.589839,7.489467,7.247831,7.224287,7.069393,7.596035,7.437423,7.498141,7.687732,7.717472,7.660471,7.332094,6.91202,6.700124,6.516729,6.778191,6.460967,6.60347,6.389095,6.314746,6.566295,6.680297,6.612144,6.680297,7.071871,7.01487,7.449814,7.329616,7.508055,7.567534,7.697646,7.892193,7.780669,7.509294,7.55886,7.604709,7.453532,7.654275,7.760843,7.94176,7.877323,7.717472,7.459727,7.718711,7.827757,7.881041,7.798017,8.221809,8.3829,8.385378,8.2057,8.372986,8.443618,8.384139,8.486989,8.557621,8.070632,7.677819,8.154895,8.028501,7.924411,7.741016,7.496902,7.349442,7.3829,7.723668,7.855019,7.802974,9.66171,9.457249,9.166047,9.437423,9.283767,9.221809,9.107807,9.092937,9.52912,9.581165,9.415118,9.684015,9.392813,9.483271,9.325898,9.246592,8.976456,8.898389,8.916976,8.780669,9.011152,9.355638,9.247831,9.255266,8.873606,9.060719,9.232962,9.431227,9.19083,9.159851,9.303594,9.478315,9.185874,9.246592,9.231722,8.830235,8.836431,9.122677,8.981413,9.263941,8.888476,9.428748,9.739777,9.835192,10.29864,9.923172,9.221809,8.892193,9.153656,9.324659,8.826518,9.096654,9.061958,9.452292,9.29368,9.111524,9.325898,9.287485,9.496902,9.583643,9.392813,9.47088,9.374226,9.307311,6.832714,6.753408,6.863693,6.446097,6.739777,6.515489,6.688971,6.468401,6.560099,6.475836,6.5886,6.802974,6.793061,6.552664,6.60347,6.654275,6.881041,6.828996,6.760843,6.625774,6.359356,6.104089,6.27881,6.153656,6.166047,6.053284,5.899628,5.856258,5.936803,5.798017,5.938042,6.245353,6.619579,6.488228,6.297398,5.965304,5.805452,5.750929,5.539033,5.612144,5.504337,5.712515,5.795539,6.032218,6.027261,5.91202,5.831475,5.951673,5.827757,5.773234,5.45601,5.121437,5.164808,5.125155,5.168525,5.366791,5.294919,4.755886,4.713755,4.423792,4.343247,4.335812,3.980173,3.94052,3.799257,3.547708,3.506815,3.769517,4.032218,4.171004,3.973978,3.035936,4.821561,4.693928,4.654275,4.991326,5.033457,4.893432,4.909542,5.133829,4.957869,4.888476,4.710037,4.568773,4.582404,4.811648,4.851301,4.949195,4.688971,4.630731,4.418835,4.100372,3.744734,3.868649,4.173482,3.933086,3.723668,3.469641,3.665428,4.034696,4.209418,4.460967,4.358116,4.490706,4.446097,4.591078,4.386617,4.489467,4.692689,4.565056,4.459727,4.633209,4.874845,4.739777,4.519207,4.491945,4.420074,4.262701,4.159851,4.297398,4.112763,4.04461,4.167286,3.811648,3.645601,3.687732,3.70632,3.555143,3.356877,3.570012,3.526642,3.657993,3.584882,3.737299,3.379182,3.08798,2.898389,2.836431,2.70632,2.821561,3.066914,2.902107,3.040892,2.816605,2.874845,2.88228,2.784387,1.584882,1.754647,1.835192,1.930607,1.748451,1.726146,1.846344,1.795539,1.877323,1.893432,1.879802,1.747212,1.645601,1.489467,1.475836,1.635688,1.51425,1.539033,1.592317,1.620818,1.727385,1.821561,1.804213,1.701363,1.729864,1.627014,1.63197,1.781908,1.769517,1.871128,1.853779,1.742255,1.739777,1.713755,1.63197,1.69145,1.724907,1.753408,1.921933,2.026022,1.234201,1.232962,1.193309,1.183395,1.198265,1.224287,1.182156,1.223048,1.27881,1.270136,1.261462,1.289963,1.258984,1.309789,1.376704,1.439901,1.516729,1.562577,1.498141,1.556382,1.432466,1.364312,1.313507,1.345725,1.389095,1.322181,1.272615,1.240397,1.348203,1.442379,1.390335,1.334572,1.420074,1.552664,1.567534,1.567534,1.458488,1.427509,1.474597,1.400248,1.406444,1.377943,1.344486,1.296159,1.27881,1.261462,1.294919,1.333333,1.262701,1.216853,1.236679,1.340768,1.387856,1.406444,1.320942,1.289963,1.277571,1.302354,1.311029,1.237918,1.312268,1.313507,1.345725,1.337051,0.9615861,1.02974,1.189591,1.187113,1.184634,1.249071,1.228005,1.270136,1.182156,1.135068,1.13259,1.240397,1.273854,1.184634,1.329616,1.434944,1.399009,1.459727,1.371747,1.35316,1.303594,1.234201,1.228005,1.27881,1.261462,1.219331,1.216853,1.277571,1.346964,1.301115,1.251549,1.167286,1.152416,1.164808,1.171004,1.172243,1.166047,1.182156,1.085502,1.049566,1.01487,1.017348,1.070632,1.075589,1.063197,1.060719,1.05948,1.091698,1.109046,1.096654,1.152416,1.13259,1.142503,1.140025,1.167286,1.197026,1.194548,1.214374,1.198265,1.166047,1.192069,1.237918,1.263941,1.271375,1.198265,1.262701,1.351921,1.374226,1.432466,1.285006,1.412639,1.363073,1.495663,1.513011,1.432466,1.360595,1.319703,1.327138,1.344486,1.395291,1.329616,1.283767,1.215613,1.226766,1.251549,1.215613,1.224287,1.257745,1.256506,1.251549,1.319703,1.444857,1.452292,1.369269,1.320942,1.281289,1.267658,1.285006,1.281289,1.374226,1.325898,1.320942,1.410161,1.369269,1.4114,1.432466,1.454771,1.370508,1.335812,1.351921,1.389095,1.392813,1.363073,1.287485,1.30855,1.283767,1.30855,1.315985,1.330855,1.324659,1.348203,1.36803,1.360595,1.256506,1.240397,1.266419,1.258984,1.224287,1.301115,1.079306,1.081784,1.02974,1,0.9801735,1.019827,1.043371,1.024783,1.078067,1.084263,1.05948,1.078067,1.066914,1.16109,1.200743,1.204461,1.209418,1.214374,1.214374,1.211896,1.273854,1.266419,1.263941,1.28005,1.289963,1.302354,1.302354,1.262701,1.244114,1.25031,1.267658,1.27881,1.270136,1.320942,1.32342,1.311029,1.267658,1.318463,1.340768,1.389095,1.422553,1.443618,1.447336,1.467162,1.489467,1.501859,1.475836,1.447336,1.459727,1.578686,1.656753,1.674102,1.629492,1.669145,1.656753,1.624535,1.60223,1.578686,1.571252,1.550186,1.329616,1.28005,1.32342,1.407683,1.39777,1.359356,1.337051,1.332094,1.309789,1.306072,1.29368,1.266419,1.242875,1.231722,1.184634,1.135068,1.120198,1.137546,1.159851,1.146221,1.144981,1.16109,1.146221,1.171004,1.225527,1.254027,1.282528,1.29368,1.296159,1.193309,1.204461,1.163569,1.169765,1.187113,1.151177,1.135068,1.135068,1.101611,1.115242,1.118959,1.069393,1.076828,1.065675,1.033457,1.052045,1.060719,1.104089,1.083024,1.05824,1.076828,1.083024,1.069393,1.066914,1.092937,1.128872,1.128872,1.075589,1.204461,1.200743,1.189591,1.195787,1.169765,1.17596,1.203222,1.138786,1.152416,1.152416,1.201983,1.240397,1.237918,1.292441,1.328377,1.329616,1.358116,1.391574,1.392813,1.402726,1.400248,1.505576,1.511772,1.495663,1.473358,1.505576,1.494424,1.525403,1.551425,1.571252,1.591078,1.608426,1.713755,1.752169,1.771995,1.80917,1.830235,1.828996,1.869888,1.951673,1.964064,2.038414,2.099133,2.096654,2.109046,2.128872,2.057001,2.135068,2.112763,2.079306,2.100372,2.112763,2.097893,2,1.95539,2.007435,2.050805,2.144981,2.112763,2.152416,2.11772,2.035936,1.925651,1.920694,2.008674,2.034696,2.05824,2.023544,2.022305,2.018587,2.013631,2.092937,2.040892,1.969021,1.966543,2.112763,2.075589,2.16233,1.413879,1.375465,1.376704,1.442379,1.380421,1.412639,1.437423,1.384139,1.356877,1.330855,1.329616,1.33829,1.328377,1.350682,1.363073,1.365551,1.394052,1.366791,1.416357,1.3829,1.468401,1.535316,1.47088,1.458488,1.474597,1.4114,1.386617,1.370508,1.369269,1.387856,1.3829,1.412639,1.395291,1.401487,1.418835,1.422553,1.394052,1.372986,1.38166,1.365551,1.363073,1.376704,1.391574,1.348203,1.407683,1.344486,1.281289,1.289963,1.350682,1.44114,1.3829,1.380421,1.4114,1.372986,1.412639,1.802974,1.795539,1.864932,1.965304,2.019827,2.013631,2.086741,2.123916,2.074349,2.050805,1.983891,1.952912,1.935564,2.008674,1.98513,1.988848,2.035936,1.936803,1.971499,1.881041,1.885998,1.898389,1.878563,1.879802,1.861214,1.898389,1.845105,1.883519,1.883519,1.931846,1.88228,1.933086,1.966543,1.934325,1.931846,1.962825,1.957869,1.907063,1.921933,1.94176,2.070632,2.078067,2.053284,2.05824,1.98513,2.01487,1.951673,2.02974,2.04461,2.075589,2.086741,2.028501,2.004957,2.008674,2,1.805452,1.805452,1.784387,1.831475,1.775713,1.682776,1.666667,1.651797,1.654275,1.622057,1.650558,1.587361,1.159851,1.079306,1.070632,1.027261,1.107807,1.121437,1.11772,1.143742,1.118959,1.152416,1.143742,1.1772,1.173482,1.174721,1.146221,1.168525,1.167286,1.1772,1.137546,1.142503,1.157373,1.097893,1.089219,1.099133,1.068154,1.057001,1.070632,1.115242,1.154895,1.179678,1.194548,1.167286,1.198265,1.247831,1.245353,1.263941,1.309789,1.312268,1.30855,1.346964,1.325898,1.291202,1.348203,1.330855,1.33829,1.298637,1.322181,1.32342,1.320942,1.379182,1.369269,1.36803,1.333333,1.296159,1.299876,1.28005,1.236679,1.257745,1.272615,1.294919,1.327138,1.349442,1.563817,1.506815,1.552664,1.501859,1.510533,1.463445,1.546468,1.488228,1.482032,1.395291,1.376704,1.333333,1.313507,1.307311,1.302354,1.312268,1.317224,1.415118,1.437423,1.437423,1.438662,1.463445,1.50062,1.593556,1.563817,1.508055,1.541512,1.548947,1.537794,1.486989,1.410161,1.401487,1.405204,1.385378,1.390335,1.400248,1.412639,1.395291,1.385378,1.387856,1.361834,1.345725,1.334572,1.392813,1.483271,1.557621,1.555143,1.491945,1.545229,1.505576,1.405204,1.467162,1.390335,1.345725,1.30855,1.296159,1.311029,1.349442,1.344486,1.386617,1.44114,1.406444,1.399009,1.384139,1.437423,1.317224,1.324659,1.35316,1.327138,1.346964,1.329616,1.394052,1.344486,1.36803,1.335812,1.32342,1.281289,1.291202,1.288724,1.258984,1.237918,1.270136,1.210657,1.189591,1.213135,1.189591,1.204461,1.125155,1.097893,1.101611,1.037175,1.070632,1.114002,1.081784,1.120198,1.143742,1.156134,1.182156,1.193309,1.166047,1.136307,1.101611,1.079306,1.106568,1.100372,0.9938042,0.9975217,0.9578686,0.8959108,1.092937,0.9702602,0.9863693,0.9801735,0.9752169,0.9591078,0.976456,0.9429988,0.9727385,0.9888476,1.032218,1.05824,1.094176,1.126394,0.9863693,0.9702602,1.047088,1.05948,1.035936,1.007435,1.018587,1.022305,1.141264,1.127633,1.118959,1.063197,1.084263,1.075589,1.057001,1.026022,1.04461,1.019827,1.043371,1.033457,1.026022,1.022305,1.016109,1.037175,1.047088,1.016109,1.024783,1.053284,1.052045,1.061958,1.028501,0.983891,1.024783,1.013631,1.019827,0.9925651,0.9801735,1.030979,0.9950434,1.008674,1.080545,1.076828,1.158612,1.16233,1.148699,1.138786,1.154895,1.130112,1.157373,1.128872,1.182156,1.174721,1.197026,1.228005,1.240397,1.224287,1.282528,1.247831,1.206939,1.210657,1.200743,1.156134,1.154895,1.168525,1.121437,1.173482,1.163569,0.9640644,0.9343247,0.9182156,0.8909542,0.9008674,0.9070632,0.8773234,0.8859975,0.9095415,0.889715,0.8872367,0.8736059,0.8921933,0.8674102,0.8698885,0.866171,0.8798017,0.8847584,0.9083024,0.8983891,0.8785626,0.905824,0.8946716,0.9021066,0.8736059,0.9033457,0.9095415,0.9244114,0.9591078,0.9900867,1.045849,1.011152,1.057001,1.043371,1.018587,1.032218,1.024783,1.040892,0.9553903,0.9553903,1.018587,1.05824,1.055762,1.007435,1.04461,1.038414,0.9640644,0.9975217,0.9814126,0.9801735,0.9615861,0.9479554,0.9578686,0.9727385,0.9628253,0.9752169,0.9851301,0.9801735,0.9591078,0.9591078,0.9417596,0.9665428,0.9690211,0.9256506,0.9045849,0.9925651,1.017348,1.076828,1.085502,1.126394,1.063197,1.061958,1.013631,1.022305,0.9950434,0.9640644,0.952912,0.9516729,0.9467162,0.9429988,0.9516729,0.9467162,0.9442379,0.9491945,0.9615861,0.9801735,0.9950434,0.9814126,0.9814126,0.9467162,0.905824,0.8996283,0.913259,0.929368,0.9454771,0.9380421,0.983891,0.9677819,0.9727385,0.9739777,0.976456,1,1],"pr":[3.033457,3.356877,2.945477,2.656753,2.826518,2.814126,2.73482,2.613383,2.550186,2.57373,2.464684,2.421314,2.469641,2.525403,2.703841,2.866171,2.817844,2.952912,2.752169,2.7943,2.754647,2.791822,2.769517,2.743494,2.565056,2.548947,2.579926,2.598513,2.565056,2.505576,2.501859,2.47088,2.546468,2.555143,2.620818,2.593556,2.627014,2.644362,2.674102,2.727385,2.7943,2.752169,2.724907,2.703841,2.799257,2.873606,2.783147,2.889715,2.847584,2.236679,2.371747,2.570012,2.574969,2.465923,2.511772,2.478315,2.488228,2.482032,2.54399,2.717472,2.629492,2.657993,2.628253,2.644362,2.613383,2.504337,2.522924,2.423792,2.335812,2.240397,2.255266,2.242875,2.215613,2.106568,2.173482,2.215613,2.144981,2.140025,2.185874,2.173482,2.142503,2.148699,2.200743,2.216853,2.201983,2.179678,2.146221,2.144981,2.128872,2.105328,1.916976,1.888476,1.944238,1.892193,1.874845,1.825279,1.855019,1.845105,1.7943,1.744734,1.72119,1.660471,1.73482,1.711276,1.693928,1.623296,1.567534,1.60223,1.675341,1.659232,1.613383,1.680297,1.70632,1.465923,1.561338,1.578686,1.625774,1.654275,1.736059,1.682776,1.800496,1.869888,1.800496,1.831475,1.88228,1.857497,1.853779,1.798017,1.768278,1.795539,1.796778,1.877323,1.900867,1.892193,1.874845,1.862454,1.847584,1.889715,1.848823,1.82404,1.754647,1.70632,1.697646,1.638166,1.723668,1.74969,1.790582,1.801735,1.843866,1.814126,1.800496,1.7943,1.832714,1.8228,1.776952,1.980173,2.050805,2.04461,1.991326,1.993804,1.951673,1.889715,1.928129,1.855019,1.807931,1.754647,1.783147,1.913259,1.942999,1.900867,1.798017,1.802974,1.892193,1.83767,1.873606,1.599752,1.534077,1.581165,1.536555,1.557621,1.54399,1.556382,1.609665,1.537794,1.52912,1.563817,1.607187,1.61834,1.686493,1.697646,1.707559,1.718711,1.681537,1.851301,1.80917,1.821561,1.86741,2.009913,1.973978,1.977695,1.987608,1.951673,1.995043,1.954151,1.920694,1.904585,1.877323,1.859975,1.83891,1.840149,1.810409,1.85254,1.89715,1.807931,1.796778,1.742255,1.747212,1.815366,1.80917,1.748451,1.672862,1.675341,1.736059,1.739777,1.755886,1.765799,1.789343,1.698885,1.680297,1.669145,1.643123,1.675341,1.724907,1.698885,1.716233,1.742255,2.571252,2.402726,2.329616,2.30855,2.302354,2.423792,2.447336,2.530359,2.345725,2.309789,2.169765,2.16233,2.11772,2.022305,2.146221,2.13259,2.231722,2.261462,2.231722,2.232962,2.187113,2.215613,2.244114,2.169765,2.211896,2.131351,2.107807,2.034696,1.982652,2.053284,2.053284,2.027261,2.013631,2.007435,1.976456,1.966543,1.791822,1.744734,1.807931,1.783147,1.765799,1.753408,1.7943,1.833953,1.848823,1.843866,1.806691,1.843866,1.815366,1.83891,1.883519,1.925651,1.936803,1.801735,1.821561,1.763321,1.775713,1.750929,1.366791,1.359356,1.337051,1.330855,1.359356,1.364312,1.364312,1.36803,1.360595,1.319703,1.311029,1.309789,1.311029,1.327138,1.330855,1.319703,1.313507,1.327138,1.307311,1.359356,1.4114,1.44114,1.526642,1.60223,1.627014,1.577447,1.620818,1.63197,1.662949,1.687732,1.718711,1.737299,1.741016,1.649318,1.586121,1.640644,1.635688,1.623296,1.610905,1.5886,1.660471,1.622057,1.629492,1.629492,1.636927,1.67658,1.69145,1.649318,1.660471,1.69145,1.655514,1.619579,1.662949,1.654275,1.664188,1.644362,1.659232,1.628253,1.659232,1.656753,1.589839,1.520446,1.548947,1.534077,1.57373,1.577447,1.6171,1.625774,1.515489,1.525403,1.525403,1.557621,1.52912,1.509294,1.508055,1.473358,1.453532,1.417596,1.417596,1.412639,1.44114,1.463445,1.399009,1.384139,1.372986,1.350682,1.312268,1.252788,1.214374,1.230483,1.206939,1.225527,1.140025,1.158612,1.151177,1.137546,1.131351,1.135068,1.141264,1.13259,1.109046,1.121437,1.114002,1.090458,1.050805,1.035936,1.013631,1.019827,0.9665428,0.9628253,0.9268897,0.8674102,0.8166047,0.8438662,0.889715,0.9169765,0.8983891,0.8748451,0.8438662,0.8438662,0.8475836,0.8451053,0.8166047,0.866171,0.7781908,0.7422553,0.7967782,0.819083,0.8921933,0.8451053,0.8550186,0.8785626,0.8921933,0.8698885,0.8413879,0.8240397,0.8314746,0.802974,0.8451053,0.8042131,0.7496902,0.7546468,0.7868649,0.7682776,0.8054523,0.7930607,0.8066914,0.7930607,0.8066914,0.7881041,0.7695167,0.739777,0.7187113,0.7026022,0.7125155,0.732342,0.7261462,0.7335812,0.6914498,0.7001239,0.6703841,0.6282528,0.6183395,0.6418835,0.6716233,0.6629492,0.7075589,0.6827757,0.7174721,0.7038414,0.7372986,0.7695167,0.7930607,0.7781908,0.7707559,0.7781908,0.7819083,0.8104089,0.6988848,0.7112763,0.7657993,0.7348203,0.7422553,0.7645601,0.7930607,0.7856258,0.7967782,0.8141264,0.8277571,0.8562577,0.8587361,0.8723668,1.064436,1.061958,1.127633,1.114002,1.090458,1.123916,1.138786,1.130112,1.149938,1.144981,1.163569,1.203222,1.254027,1.249071,1.215613,1.214374,1.214374,1.229244,1.249071,1.223048,1.17596,1.174721,1.234201,1.224287,1.245353,1.39777,1.3829,1.355638,1.317224,1.355638,1.364312,1.329616,1.328377,1.333333,1.318463,1.337051,1.365551,1.407683,1.390335,1.3829,1.39777,1.467162,1.520446,1.530359,1.489467,1.474597,1.483271,1.468401,1.448575,1.45601,1.446097,1.428748,1.48575,1.395291,1.337051,1.351921,1.390335,1.380421,1.387856,1.392813,1.462206,1.458488,1.384139,1.340768,1.360595,1.299876,1.252788,1.299876,1.320942,1.415118,1.423792,1.386617,1.429988,1.401487,1.377943,1.432466,1.433705,1.447336,1.48575,1.473358,1.448575,1.604709,1.60347,1.712515,1.718711,1.70632,1.677819,1.703841,1.748451,1.729864,1.679058,1.841388,1.817844,1.83891,1.804213,1.828996,1.800496,1.8228,1.806691,1.771995,1.778191,1.747212,1.828996,1.887237,1.876084,1.889715,1.890954,1.929368,1.934325,1.920694,1.858736,1.850062,1.802974,1.737299,1.753408,1.83767,2.182156,2.192069,2.216853,2.168525,2.097893,2.081784,2.066914,2.110285,2.039653,2.018587,1.971499,2.076828,2.104089,2.083024,2.106568,2.027261,1.981413,1.980173,2.002478,1.992565,2,1.992565,1.92689,1.996283,1.921933,1.92689,1.95539,1.961586,1.973978,1.957869,1.966543,2.05948,1.89715,1.861214,1.89715,1.954151,1.982652,1.952912,2.085502,2.094176,2.091698,2.111524,2.121437,2.111524,2.120198,2.106568,1.98513,1.957869,1.923172,1.833953,1.771995,1.799257,1.793061,1.753408,1.760843,1.744734,1.754647,1.705081,1.745973,1.693928,1.707559,1.675341,1.806691,1.73482,1.633209,1.675341,1.729864,1.819083,1.814126,1.841388,1.866171,1.881041,1.902107,1.83767,1.785626,1.754647,1.758364,1.783147,1.781908,1.793061,1.780669,1.727385,1.820322,1.878563,1.89715,1.868649,1.890954,1.920694,1.915737,1.902107,1.889715,1.80917,1.848823,1.858736,1.819083,1.826518,1.763321,1.745973,1.763321,1.790582,1.869888,1.872367,1.871128,1.872367,1.915737,1.92689,1.919455,1.934325,1.978934,1.986369,1.969021,2.023544,2.079306,2.075589,2.079306,2.110285,2.065675,2.151177,2.157373,2.230483,2.229244,2.254027,2.261462,2.36803,2.354399,2.366791,2.385378,2.360595,2.307311,2.35316,2.371747,2.339529,2.277571,2.258984,2.351921,2.006196,2.106568,2.122677,2.180917,2.182156,2.156134,2.179678,2.17596,2.127633,2.131351,2.096654,2.069393,2.001239,1.969021,1.94176,1.816605,1.755886,1.783147,1.679058,1.688971,1.716233,1.610905,1.418835,1.48575,1.339529,1.291202,1.406444,1.122677,1.104089,1.037175,1.173482,1.25031,1.319703,1.363073,1.391574,1.480793,1.509294,1.468401,1.473358,1.389095,1.39653,1.370508,1.506815,1.49938,1.638166,1.686493,1.677819,1.707559,1.682776,1.613383,1.608426,1.600991,1.541512,2.107807,1.990087,1.982652,2.095415,2.033457,2.209418,2.182156,2.080545,2.118959,2.169765,2.14746,2.249071,2.258984,2.241636,2.153656,2.078067,2.097893,2.118959,2.167286,2.166047,2.258984,2.174721,2.189591,2.157373,2.106568,2.261462,2.346964,2.422553,2.447336,2.444857,2.386617,2.519207,2.55886,2.613383,2.627014,2.442379,2.50062,2.571252,2.589839,2.703841,2.724907,2.807931,2.874845,2.933086,2.928129,3.033457,2.858736,2.861214,2.910781,2.939281,2.877323,2.902107,3.074349,3.272615,3.214374,3.163569,3.007435,2.94176,3.040892,2.961586,3.040892,3.131351,3.065675,2.874845,2.722429,2.744734,2.830235,2.799257,2.83767,2.776952,2.778191,2.629492,2.696406,2.688971,2.645601,2.674102,2.728625,2.67658,2.708798,2.713755,2.687732,2.700124,2.697646,2.716233,2.705081,2.67658,2.586121,2.6171,2.64684,2.693928,2.76456,2.799257,2.776952,2.915737,2.874845,2.780669,2.811648,2.930607,2.888476,2.997522,2.990087,3.032218,3.080545,3.011152,2.951673,2.959108,3.156134,3.143742,3.013631,3.05948,3.189591,3.22057,3.23544,3.318463,3.301115,3.412639,3.312268,3.304833,3.351921,3.345725,3.340768,3.345725,3.385378,3.477076,3.448575,3.551425,3.525403,4.522924,4.828996,5.349442,5.114002,5.14746,5.311029,5.231722,4.881041,5.054523,5.101611,5.203222,5.148699,5.623296,5.092937,4.775713,4.765799,4.993804,5.009913,4.842627,4.866171,5.034696,5.240397,5.488228,5.608426,5.488228,5.645601,5.703841,5.504337,5.51425,5.884758,5.94176,5.960347,6.127633,6.195787,6.090458,6.586121,6.608426,6.394052,6.363073,6.400248,6.598513,6.566295,6.488228,6.454771,6.4114,6.214374,5.980173,6.348203,6.115242,6.204461,6.144981,6.234201,6.173482,6.498141,6.534077,6.738538,6.995043,6.620818,6.075589,6.234201,6.244114,6.468401,6.741016,6.638166,6.648079,6.60347,6.065675,6.583643,6.560099,7.04461,7.294919,7.343247,7.225527,7.885998,7.903346,7.781908,7.757125,7.711276,7.679058,7.783147,7.771995,7.790582,8.118959,7.857497,8.729864,8.608426,7.83891,8.136307,8.261462,7.993804,7.437423,7.151177,7.116481,6.553903,6.976456,6.82404,7.387856,7.768278,7.898389,7.711276,7.924411,7.247831,7.231722,7.206939,6.847584,6.258984,6.370508,6.394052,6.142503,6.14746,6.479554,6.752169,6.705081,7.048327,7.463445,7.831475,7.840149,7.737299,7.737299,7.684015,7.916976,7.589839,7.489467,7.247831,7.224287,7.069393,7.596035,7.437423,7.498141,7.687732,7.717472,7.660471,7.332094,6.91202,6.700124,6.516729,6.778191,6.460967,6.60347,6.389095,6.314746,6.566295,6.680297,6.612144,6.680297,7.071871,7.01487,7.449814,7.329616,7.508055,7.567534,7.697646,7.892193,7.780669,7.509294,7.55886,7.604709,7.453532,7.654275,7.760843,7.94176,7.877323,7.717472,7.459727,7.718711,7.827757,7.881041,7.798017,8.221809,8.3829,8.385378,8.2057,8.372986,8.443618,8.384139,8.486989,8.557621,8.070632,7.677819,8.154895,8.028501,7.924411,7.741016,7.496902,7.349442,7.3829,7.723668,7.855019,7.802974,9.66171,9.457249,9.166047,9.437423,9.283767,9.221809,9.107807,9.092937,9.52912,9.581165,9.415118,9.684015,9.392813,9.483271,9.325898,9.246592,8.976456,8.898389,8.916976,8.780669,9.011152,9.355638,9.247831,9.255266,8.873606,9.060719,9.232962,9.431227,9.19083,9.159851,9.303594,9.478315,9.185874,9.246592,9.231722,8.830235,8.836431,9.122677,8.981413,9.263941,8.888476,9.428748,9.739777,9.835192,10.29864,9.923172,9.221809,8.892193,9.153656,9.324659,8.826518,9.096654,9.061958,9.452292,9.29368,9.111524,9.325898,9.287485,9.496902,9.583643,9.392813,9.47088,9.374226,9.307311,6.832714,6.753408,6.863693,6.446097,6.739777,6.515489,6.688971,6.468401,6.560099,6.475836,6.5886,6.802974,6.793061,6.552664,6.60347,6.654275,6.881041,6.828996,6.760843,6.625774,6.359356,6.104089,6.27881,6.153656,6.166047,6.053284,5.899628,5.856258,5.936803,5.798017,5.938042,6.245353,6.619579,6.488228,6.297398,5.965304,5.805452,5.750929,5.539033,5.612144,5.504337,5.712515,5.795539,6.032218,6.027261,5.91202,5.831475,5.951673,5.827757,5.773234,5.45601,5.121437,5.164808,5.125155,5.168525,5.366791,5.294919,4.755886,4.713755,4.423792,4.343247,4.335812,3.980173,3.94052,3.799257,3.547708,3.506815,3.769517,4.032218,4.171004,3.973978,3.035936,4.821561,4.693928,4.654275,4.991326,5.033457,4.893432,4.909542,5.133829,4.957869,4.888476,4.710037,4.568773,4.582404,4.811648,4.851301,4.949195,4.688971,4.630731,4.418835,4.100372,3.744734,3.868649,4.173482,3.933086,3.723668,3.469641,3.665428,4.034696,4.209418,4.460967,4.358116,4.490706,4.446097,4.591078,4.386617,4.489467,4.692689,4.565056,4.459727,4.633209,4.874845,4.739777,4.519207,4.491945,4.420074,4.262701,4.159851,4.297398,4.112763,4.04461,4.167286,3.811648,3.645601,3.687732,3.70632,3.555143,3.356877,3.570012,3.526642,3.657993,3.584882,3.737299,3.379182,3.08798,2.898389,2.836431,2.70632,2.821561,3.066914,2.902107,3.040892,2.816605,2.874845,2.88228,2.784387,1.584882,1.754647,1.835192,1.930607,1.748451,1.726146,1.846344,1.795539,1.877323,1.893432,1.879802,1.747212,1.645601,1.489467,1.475836,1.635688,1.51425,1.539033,1.592317,1.620818,1.727385,1.821561,1.804213,1.701363,1.729864,1.627014,1.63197,1.781908,1.769517,1.871128,1.853779,1.742255,1.739777,1.713755,1.63197,1.69145,1.724907,1.753408,1.921933,2.026022,1.234201,1.232962,1.193309,1.183395,1.198265,1.224287,1.182156,1.223048,1.27881,1.270136,1.261462,1.289963,1.258984,1.309789,1.376704,1.439901,1.516729,1.562577,1.498141,1.556382,1.432466,1.364312,1.313507,1.345725,1.389095,1.322181,1.272615,1.240397,1.348203,1.442379,1.390335,1.334572,1.420074,1.552664,1.567534,1.567534,1.458488,1.427509,1.474597,1.400248,1.406444,1.377943,1.344486,1.296159,1.27881,1.261462,1.294919,1.333333,1.262701,1.216853,1.236679,1.340768,1.387856,1.406444,1.320942,1.289963,1.277571,1.302354,1.311029,1.237918,1.312268,1.313507,1.345725,1.337051,0.9615861,1.02974,1.189591,1.187113,1.184634,1.249071,1.228005,1.270136,1.182156,1.135068,1.13259,1.240397,1.273854,1.184634,1.329616,1.434944,1.399009,1.459727,1.371747,1.35316,1.303594,1.234201,1.228005,1.27881,1.261462,1.219331,1.216853,1.277571,1.346964,1.301115,1.251549,1.167286,1.152416,1.164808,1.171004,1.172243,1.166047,1.182156,1.085502,1.049566,1.01487,1.017348,1.070632,1.075589,1.063197,1.060719,1.05948,1.091698,1.109046,1.096654,1.152416,1.13259,1.142503,1.140025,1.167286,1.197026,1.194548,1.214374,1.198265,1.166047,1.192069,1.237918,1.263941,1.271375,1.198265,1.262701,1.351921,1.374226,1.432466,1.285006,1.412639,1.363073,1.495663,1.513011,1.432466,1.360595,1.319703,1.327138,1.344486,1.395291,1.329616,1.283767,1.215613,1.226766,1.251549,1.215613,1.224287,1.257745,1.256506,1.251549,1.319703,1.444857,1.452292,1.369269,1.320942,1.281289,1.267658,1.285006,1.281289,1.374226,1.325898,1.320942,1.410161,1.369269,1.4114,1.432466,1.454771,1.370508,1.335812,1.351921,1.389095,1.392813,1.363073,1.287485,1.30855,1.283767,1.30855,1.315985,1.330855,1.324659,1.348203,1.36803,1.360595,1.256506,1.240397,1.266419,1.258984,1.224287,1.301115,1.079306,1.081784,1.02974,1,0.9801735,1.019827,1.043371,1.024783,1.078067,1.084263,1.05948,1.078067,1.066914,1.16109,1.200743,1.204461,1.209418,1.214374,1.214374,1.211896,1.273854,1.266419,1.263941,1.28005,1.289963,1.302354,1.302354,1.262701,1.244114,1.25031,1.267658,1.27881,1.270136,1.320942,1.32342,1.311029,1.267658,1.318463,1.340768,1.389095,1.422553,1.443618,1.447336,1.467162,1.489467,1.501859,1.475836,1.447336,1.459727,1.578686,1.656753,1.674102,1.629492,1.669145,1.656753,1.624535,1.60223,1.578686,1.571252,1.550186,1.329616,1.28005,1.32342,1.407683,1.39777,1.359356,1.337051,1.332094,1.309789,1.306072,1.29368,1.266419,1.242875,1.231722,1.184634,1.135068,1.120198,1.137546,1.159851,1.146221,1.144981,1.16109,1.146221,1.171004,1.225527,1.254027,1.282528,1.29368,1.296159,1.193309,1.204461,1.163569,1.169765,1.187113,1.151177,1.135068,1.135068,1.101611,1.115242,1.118959,1.069393,1.076828,1.065675,1.033457,1.052045,1.060719,1.104089,1.083024,1.05824,1.076828,1.083024,1.069393,1.066914,1.092937,1.128872,1.128872,1.075589,1.204461,1.200743,1.189591,1.195787,1.169765,1.17596,1.203222,1.138786,1.152416,1.152416,1.201983,1.240397,1.237918,1.292441,1.328377,1.329616,1.358116,1.391574,1.392813,1.402726,1.400248,1.505576,1.511772,1.495663,1.473358,1.505576,1.494424,1.525403,1.551425,1.571252,1.591078,1.608426,1.713755,1.752169,1.771995,1.80917,1.830235,1.828996,1.869888,1.951673,1.964064,2.038414,2.099133,2.096654,2.109046,2.128872,2.057001,2.135068,2.112763,2.079306,2.100372,2.112763,2.097893,2,1.95539,2.007435,2.050805,2.144981,2.112763,2.152416,2.11772,2.035936,1.925651,1.920694,2.008674,2.034696,2.05824,2.023544,2.022305,2.018587,2.013631,2.092937,2.040892,1.969021,1.966543,2.112763,2.075589,2.16233,1.413879,1.375465,1.376704,1.442379,1.380421,1.412639,1.437423,1.384139,1.356877,1.330855,1.329616,1.33829,1.328377,1.350682,1.363073,1.365551,1.394052,1.366791,1.416357,1.3829,1.468401,1.535316,1.47088,1.458488,1.474597,1.4114,1.386617,1.370508,1.369269,1.387856,1.3829,1.412639,1.395291,1.401487,1.418835,1.422553,1.394052,1.372986,1.38166,1.365551,1.363073,1.376704,1.391574,1.348203,1.407683,1.344486,1.281289,1.289963,1.350682,1.44114,1.3829,1.380421,1.4114,1.372986,1.412639,1.802974,1.795539,1.864932,1.965304,2.019827,2.013631,2.086741,2.123916,2.074349,2.050805,1.983891,1.952912,1.935564,2.008674,1.98513,1.988848,2.035936,1.936803,1.971499,1.881041,1.885998,1.898389,1.878563,1.879802,1.861214,1.898389,1.845105,1.883519,1.883519,1.931846,1.88228,1.933086,1.966543,1.934325,1.931846,1.962825,1.957869,1.907063,1.921933,1.94176,2.070632,2.078067,2.053284,2.05824,1.98513,2.01487,1.951673,2.02974,2.04461,2.075589,2.086741,2.028501,2.004957,2.008674,2,1.805452,1.805452,1.784387,1.831475,1.775713,1.682776,1.666667,1.651797,1.654275,1.622057,1.650558,1.587361,1.159851,1.079306,1.070632,1.027261,1.107807,1.121437,1.11772,1.143742,1.118959,1.152416,1.143742,1.1772,1.173482,1.174721,1.146221,1.168525,1.167286,1.1772,1.137546,1.142503,1.157373,1.097893,1.089219,1.099133,1.068154,1.057001,1.070632,1.115242,1.154895,1.179678,1.194548,1.167286,1.198265,1.247831,1.245353,1.263941,1.309789,1.312268,1.30855,1.346964,1.325898,1.291202,1.348203,1.330855,1.33829,1.298637,1.322181,1.32342,1.320942,1.379182,1.369269,1.36803,1.333333,1.296159,1.299876,1.28005,1.236679,1.257745,1.272615,1.294919,1.327138,1.349442,1.563817,1.506815,1.552664,1.501859,1.510533,1.463445,1.546468,1.488228,1.482032,1.395291,1.376704,1.333333,1.313507,1.307311,1.302354,1.312268,1.317224,1.415118,1.437423,1.437423,1.438662,1.463445,1.50062,1.593556,1.563817,1.508055,1.541512,1.548947,1.537794,1.486989,1.410161,1.401487,1.405204,1.385378,1.390335,1.400248,1.412639,1.395291,1.385378,1.387856,1.361834,1.345725,1.334572,1.392813,1.483271,1.557621,1.555143,1.491945,1.545229,1.505576,1.405204,1.467162,1.390335,1.345725,1.30855,1.296159,1.311029,1.349442,1.344486,1.386617,1.44114,1.406444,1.399009,1.384139,1.437423,1.317224,1.324659,1.35316,1.327138,1.346964,1.329616,1.394052,1.344486,1.36803,1.335812,1.32342,1.281289,1.291202,1.288724,1.258984,1.237918,1.270136,1.210657,1.189591,1.213135,1.189591,1.204461,1.125155,1.097893,1.101611,1.037175,1.070632,1.114002,1.081784,1.120198,1.143742,1.156134,1.182156,1.193309,1.166047,1.136307,1.101611,1.079306,1.106568,1.100372,0.9938042,0.9975217,0.9578686,0.8959108,1.092937,0.9702602,0.9863693,0.9801735,0.9752169,0.9591078,0.976456,0.9429988,0.9727385,0.9888476,1.032218,1.05824,1.094176,1.126394,0.9863693,0.9702602,1.047088,1.05948,1.035936,1.007435,1.018587,1.022305,1.141264,1.127633,1.118959,1.063197,1.084263,1.075589,1.057001,1.026022,1.04461,1.019827,1.043371,1.033457,1.026022,1.022305,1.016109,1.037175,1.047088,1.016109,1.024783,1.053284,1.052045,1.061958,1.028501,0.983891,1.024783,1.013631,1.019827,0.9925651,0.9801735,1.030979,0.9950434,1.008674,1.080545,1.076828,1.158612,1.16233,1.148699,1.138786,1.154895,1.130112,1.157373,1.128872,1.182156,1.174721,1.197026,1.228005,1.240397,1.224287,1.282528,1.247831,1.206939,1.210657,1.200743,1.156134,1.154895,1.168525,1.121437,1.173482,1.163569,0.9640644,0.9343247,0.9182156,0.8909542,0.9008674,0.9070632,0.8773234,0.8859975,0.9095415,0.889715,0.8872367,0.8736059,0.8921933,0.8674102,0.8698885,0.866171,0.8798017,0.8847584,0.9083024,0.8983891,0.8785626,0.905824,0.8946716,0.9021066,0.8736059,0.9033457,0.9095415,0.9244114,0.9591078,0.9900867,1.045849,1.011152,1.057001,1.043371,1.018587,1.032218,1.024783,1.040892,0.9553903,0.9553903,1.018587,1.05824,1.055762,1.007435,1.04461,1.038414,0.9640644,0.9975217,0.9814126,0.9801735,0.9615861,0.9479554,0.9578686,0.9727385,0.9628253,0.9752169,0.9851301,0.9801735,0.9591078,0.9591078,0.9417596,0.9665428,0.9690211,0.9256506,0.9045849,0.9925651,1.017348,1.076828,1.085502,1.126394,1.063197,1.061958,1.013631,1.022305,0.9950434,0.9640644,0.952912,0.9516729,0.9467162,0.9429988,0.9516729,0.9467162,0.9442379,0.9491945,0.9615861,0.9801735,0.9950434,0.9814126,0.9814126,0.9467162,0.905824,0.8996283,0.913259,0.929368,0.9454771,0.9380421,0.983891,0.9677819,0.9727385,0.9739777,0.976456,1,1]}