[0.026,0.027,0.03,0.033,0.038,0.046,0.06,0.08,0.104,0.126,0.146,0.162,0.176,0.186,0.191,0.189,0.183,0.175,0.168,0.161,0.151,0.135,0.115,0.097,0.087,0.086,0.09,0.095,0.097,0.097,0.094,0.088,0.079,0.068,0.058,0.052,0.053,0.059,0.068,0.078,0.085,0.088,0.09,0.092,0.095,0.095,0.093,0.091,0.092,0.092,0.091,0.089,0.09,0.095,0.104,0.112,0.116,0.114,0.107,0.094,0.079,0.065,0.056,0.055,0.06,0.071,0.086,0.1,0.113,0.121,0.123,0.121,0.117,0.112,0.109,0.105,0.099,0.091,0.085,0.083,0.084,0.085,0.082,0.073,0.061,0.049,0.041,0.036,0.03,0.024,0.016,0.01,0.005,0.004,0.006,0.009,0.013,0.017,0.02,0.024,0.03,0.038,0.047,0.056,0.064,0.07,0.073,0.073,0.071,0.071,0.074,0.079,0.084,0.089,0.091,0.09,0.087,0.086,0.087,0.089,0.093,0.101,0.122,0.159,0.211,0.265,0.311,0.344,0.364,0.372,0.362,0.334,0.293,0.248,0.203,0.161,0.123,0.094,0.075,0.065,0.06,0.057,0.057,0.062,0.07,0.08,0.089,0.095,0.097,0.095,0.09,0.083,0.077,0.074,0.073,0.073,0.07,0.063,0.052,0.04,0.03,0.022,0.018,0.014,0.01,0.006,0.003,0.002,0.001,0.001,0.001,0.003,0.007,0.014,0.023,0.034,0.043,0.05,0.059,0.074,0.108,0.162,0.225,0.276,0.299,0.294,0.28,0.276,0.29,0.314,0.332,0.331,0.31,0.278,0.243,0.211,0.182,0.16,0.145,0.138,0.137,0.145,0.158,0.174,0.186,0.19,0.187,0.183,0.182,0.188,0.202,0.219,0.232,0.237,0.235,0.228,0.221,0.213,0.202,0.193,0.189,0.192,0.201,0.209,0.209,0.2,0.184,0.171,0.17,0.183,0.205,0.224,0.231,0.228,0.217,0.206,0.199,0.197,0.201,0.207,0.213,0.219,0.23,0.25,0.275,0.293,0.295,0.286,0.275,0.273,0.28,0.293,0.302,0.297,0.277,0.245,0.217,0.206,0.215,0.235,0.248,0.243,0.222,0.204,0.205,0.23,0.267,0.298,0.311,0.302,0.277,0.245,0.211,0.184,0.166,0.159,0.16,0.166,0.175,0.184,0.191,0.196,0.197,0.196,0.192,0.19,0.194,0.206,0.224,0.236,0.233,0.215,0.194,0.18,0.18,0.191,0.206,0.217,0.222,0.22,0.215,0.209,0.205,0.202,0.2,0.205,0.217,0.235,0.249,0.25,0.236,0.215,0.196,0.187,0.189,0.206,0.232,0.261,0.276,0.269,0.245,0.22,0.211,0.222,0.246,0.271,0.289,0.301,0.314,0.328,0.338,0.338,0.327,0.313,0.306,0.32,0.354,0.397,0.43,0.442,0.433,0.417,0.406,0.404,0.408,0.408,0.394,0.366,0.327,0.289,0.257,0.232,0.209,0.188,0.176,0.184,0.209,0.242,0.269,0.282,0.282,0.272,0.257,0.246,0.241,0.244,0.251,0.255,0.253,0.247,0.242,0.24,0.243,0.249,0.259,0.268,0.275,0.274,0.264,0.244,0.224,0.212,0.216,0.233,0.253,0.263,0.261,0.252,0.245,0.245,0.251,0.26,0.269,0.276,0.279,0.275,0.269,0.266,0.269,0.276,0.278,0.274,0.268,0.272,0.287,0.305,0.315,0.308,0.287,0.259,0.24,0.238,0.253,0.276,0.289,0.282,0.257,0.227,0.201,0.185,0.177,0.177,0.186,0.201,0.216,0.222,0.217,0.206,0.193,0.181,0.17,0.164,0.164,0.17,0.181,0.195,0.209,0.221,0.228,0.232,0.234,0.235,0.234,0.225,0.21,0.192,0.18,0.177,0.181,0.188,0.194,0.192,0.18,0.161,0.141,0.13,0.133,0.146,0.167,0.192,0.217,0.237,0.241,0.228,0.204,0.184,0.178,0.184,0.198,0.218,0.244,0.273,0.29,0.287,0.264,0.241,0.232,0.243,0.264,0.282,0.289,0.283,0.272,0.265,0.266,0.275,0.286,0.299,0.315,0.338,0.367,0.393,0.408,0.409,0.403,0.399,0.405,0.418,0.429,0.426,0.403,0.361,0.31,0.263,0.229,0.207,0.194,0.182,0.17,0.159,0.152,0.147,0.143,0.139,0.138,0.142,0.152,0.169,0.191,0.214,0.232,0.242,0.253,0.28,0.324,0.371,0.403,0.413,0.407,0.401,0.402,0.407,0.406,0.39,0.358,0.319,0.285,0.263,0.25,0.238,0.221,0.2,0.186,0.183,0.192,0.206,0.216,0.221,0.219,0.213,0.206,0.2,0.198,0.198,0.201,0.205,0.213,0.224,0.235,0.24,0.236,0.226,0.214,0.205,0.205,0.217,0.241,0.267,0.277,0.263,0.228,0.188,0.157,0.139,0.135,0.145,0.166,0.189,0.204,0.205,0.192,0.174,0.158,0.145,0.135,0.123,0.109,0.091,0.074,0.062,0.062,0.075,0.096,0.121,0.146,0.175,0.208,0.246,0.28,0.3,0.301,0.289,0.277,0.277,0.287,0.294,0.284,0.249,0.195,0.136,0.092,0.069,0.065,0.068,0.069,0.063,0.051,0.038,0.028,0.024,0.026,0.032,0.041,0.051,0.061,0.07,0.073,0.07,0.061,0.049,0.036,0.025,0.017,0.012,0.012,0.015,0.022,0.032,0.043,0.055,0.066,0.079,0.102,0.146,0.21,0.278,0.327,0.34,0.327,0.309,0.31,0.333,0.366,0.39,0.391,0.371,0.348,0.337,0.348,0.371,0.388,0.384,0.357,0.321,0.295,0.288,0.3,0.328,0.363,0.391,0.397,0.377,0.341,0.306,0.282,0.27,0.262,0.255,0.253,0.257,0.268,0.28,0.291,0.299,0.304,0.308,0.308,0.307,0.306,0.306,0.308,0.309,0.306,0.299,0.29,0.284,0.281,0.281,0.281,0.28,0.278,0.278,0.278,0.276,0.271,0.265,0.262,0.265,0.271,0.278,0.283,0.285,0.285,0.285,0.283,0.281,0.279,0.276,0.277,0.286,0.308,0.34,0.37,0.381,0.366,0.335,0.309,0.308,0.336,0.377,0.405,0.406,0.38,0.348,0.332,0.339,0.359,0.37,0.359,0.328,0.295,0.273,0.268,0.276,0.295,0.324,0.355,0.373,0.372,0.352,0.328,0.309,0.297,0.29,0.284,0.278,0.272,0.267,0.261,0.254,0.241,0.221,0.196,0.172,0.155,0.149,0.151,0.156,0.159,0.16,0.159,0.16,0.162,0.162,0.161,0.16,0.16,0.161,0.163,0.164,0.162,0.156,0.146,0.134,0.124,0.119,0.118,0.118,0.116,0.111,0.106,0.1,0.093,0.084,0.072,0.065,0.073,0.107,0.17,0.247,0.315,0.357,0.375,0.383,0.393,0.408,0.422,0.424,0.407,0.373,0.335,0.309,0.309,0.333,0.365,0.387,0.392,0.388,0.386,0.392,0.402,0.411,0.412,0.403,0.383,0.358,0.332,0.312,0.297,0.283,0.264,0.241,0.218,0.201,0.193,0.195,0.203,0.212,0.217,0.218,0.216,0.213,0.212,0.212,0.214,0.22,0.233,0.247,0.253,0.247,0.232,0.217,0.209,0.209,0.219,0.246,0.296,0.363,0.432,0.487,0.52,0.533,0.534,0.527,0.518,0.509,0.503,0.504,0.513,0.525,0.536,0.541,0.537,0.527,0.513,0.502,0.497,0.492,0.483,0.468,0.453,0.447,0.453,0.463,0.464,0.448,0.416,0.38,0.355,0.352,0.364,0.379,0.384,0.378,0.367,0.363,0.371,0.385,0.395,0.391,0.372,0.344,0.319,0.305,0.306,0.313,0.313,0.3,0.279,0.263,0.26,0.266,0.271,0.272,0.267,0.258,0.245,0.231,0.219,0.218,0.23,0.254,0.283,0.309,0.321,0.316,0.296,0.272,0.253,0.247,0.254,0.274,0.304,0.345,0.39,0.428,0.455,0.467,0.472,0.473,0.472,0.468,0.463,0.461,0.467,0.48,0.493,0.501,0.499,0.489,0.475,0.46,0.45,0.44,0.428,0.409,0.386,0.365,0.359,0.37,0.392,0.411,0.414,0.395,0.369,0.351,0.354,0.373,0.392,0.4,0.392,0.38,0.374,0.38,0.395,0.411,0.42,0.417,0.402,0.385,0.373,0.371,0.374,0.374,0.364,0.349,0.336,0.332,0.331,0.325,0.31,0.286,0.264,0.253,0.253,0.256,0.252,0.24,0.227,0.226,0.246,0.28,0.316,0.34,0.345,0.335,0.317,0.299,0.292,0.307,0.349,0.408,0.466,0.506,0.524,0.528,0.529,0.534,0.539,0.537,0.526,0.512,0.504,0.506,0.518,0.534,0.546,0.547,0.526,0.478,0.402,0.31,0.221,0.156,0.123,0.118,0.127,0.135,0.139,0.14,0.144,0.15,0.149,0.135,0.107,0.073,0.047,0.039,0.05,0.075,0.102,0.118,0.118,0.107,0.092,0.085,0.09,0.106,0.125,0.138,0.14,0.131,0.12,0.115,0.117,0.123,0.127,0.13,0.136,0.146,0.156,0.158,0.155,0.152,0.157,0.17,0.186,0.198,0.203,0.201,0.193,0.181,0.168,0.157,0.151,0.152,0.156,0.158,0.154,0.14,0.119,0.099,0.088,0.091,0.104,0.117,0.126,0.128,0.125,0.121,0.119,0.118,0.12,0.122,0.125,0.128,0.131,0.131,0.127,0.116,0.099,0.084,0.077,0.082,0.098,0.117,0.133,0.14,0.134,0.122,0.111,0.107,0.115,0.138,0.18,0.242,0.314,0.377,0.417,0.431,0.431,0.429,0.43,0.434,0.438,0.443,0.445,0.443,0.437,0.429,0.423,0.418,0.414,0.409,0.401,0.392,0.383,0.376,0.372,0.369,0.367,0.366,0.368,0.378,0.396,0.422,0.451,0.475,0.485,0.481,0.468,0.456,0.454,0.459,0.466,0.472,0.473,0.469,0.461,0.453,0.447,0.444,0.441,0.441,0.442,0.444,0.446,0.447,0.445,0.441,0.434,0.424,0.413,0.403,0.396,0.392,0.392,0.393,0.394,0.395,0.395,0.394,0.396,0.403,0.417,0.435,0.45,0.455,0.453,0.451,0.455,0.466,0.478,0.48,0.465,0.438,0.407,0.385,0.378,0.383,0.394,0.404,0.412,0.414,0.409,0.398,0.384,0.372,0.364,0.358,0.351,0.342,0.336,0.339,0.354,0.379,0.409,0.435,0.448,0.444,0.428,0.41,0.397,0.394,0.399,0.408,0.414,0.418,0.42,0.428,0.44,0.452,0.457,0.452,0.441,0.43,0.424,0.42,0.419,0.419,0.421,0.426,0.429,0.425,0.414,0.4,0.388,0.382,0.382,0.387,0.394,0.397,0.396,0.396,0.408,0.43,0.453,0.463,0.457,0.443,0.436,0.442,0.456,0.47,0.477,0.476,0.473,0.474,0.479,0.483,0.483,0.476,0.464,0.449,0.435,0.423,0.414,0.409,0.406,0.407,0.412,0.419,0.423,0.423,0.416,0.406,0.397,0.391,0.39,0.391,0.394,0.4,0.412,0.431,0.451,0.464,0.464,0.457,0.451,0.454,0.469,0.487,0.502,0.509,0.51,0.513,0.523,0.54,0.554,0.558,0.547,0.527,0.504,0.487,0.484,0.492,0.505,0.515,0.518,0.518,0.517,0.517,0.513,0.505,0.493,0.486,0.485,0.489,0.488,0.476,0.451,0.416,0.378,0.342,0.312,0.289,0.274,0.268,0.272,0.281,0.289,0.291,0.283,0.263,0.235,0.207,0.186,0.182,0.197,0.226,0.256,0.276,0.277,0.26,0.23,0.196,0.17,0.16,0.169,0.187,0.205,0.218,0.223,0.221,0.212,0.195,0.174,0.156,0.145,0.146,0.155,0.165,0.174,0.179,0.181,0.181,0.181,0.181,0.182,0.182,0.181,0.181,0.18,0.18,0.182,0.187,0.194,0.199,0.201,0.199,0.194,0.188,0.185,0.184,0.185,0.186,0.186,0.185,0.183,0.18,0.177,0.175,0.174,0.177,0.18,0.184,0.187,0.189,0.189,0.19,0.191,0.192,0.195,0.199,0.205,0.213,0.219,0.223,0.225,0.225,0.223,0.222,0.22,0.217,0.215,0.213,0.212,0.213,0.214,0.215,0.216,0.217,0.218,0.219,0.22,0.22,0.22,0.22,0.22,0.221,0.223,0.225,0.226,0.225,0.223,0.219,0.216,0.214,0.214,0.214,0.215,0.215,0.216,0.216,0.217,0.218,0.22,0.222,0.225,0.228,0.231,0.234,0.236,0.239,0.243,0.246,0.25,0.252,0.253,0.254,0.261,0.284,0.329,0.39,0.452,0.499,0.523,0.532,0.535,0.542,0.553,0.563,0.566,0.56,0.55,0.545,0.549,0.561,0.575,0.583,0.579,0.569,0.56,0.557,0.562,0.57,0.573,0.567,0.557,0.552,0.561,0.587,0.625,0.661,0.688,0.701,0.708,0.714,0.724,0.733,0.732,0.721,0.701,0.685,0.675,0.673,0.67,0.664,0.657,0.65,0.644,0.636,0.626,0.611,0.593,0.574,0.551,0.526,0.499,0.472,0.445,0.421,0.398,0.374,0.347,0.319,0.292,0.268,0.25,0.24,0.237,0.242,0.256,0.278,0.306,0.334,0.353,0.359,0.353,0.341,0.327,0.311,0.29,0.268,0.249,0.243,0.252,0.278,0.323,0.387,0.463,0.535,0.588,0.607,0.59,0.547,0.497,0.461,0.447,0.453,0.463,0.465,0.454,0.433,0.406,0.376,0.341,0.303,0.266,0.238,0.221,0.216,0.221,0.235,0.256,0.286,0.323,0.367,0.409,0.43,0.415,0.362,0.29,0.232,0.217,0.25,0.308,0.349,0.345,0.294,0.228,0.187,0.194,0.242,0.298,0.324,0.305,0.261,0.231,0.243,0.294,0.35,0.371,0.347,0.303,0.281,0.31,0.388,0.484,0.568,0.621,0.643,0.644,0.631,0.612,0.594,0.581,0.575,0.571,0.563,0.544,0.51,0.462,0.412,0.373,0.353,0.349,0.349,0.346,0.34,0.332,0.324,0.312,0.294,0.276,0.27,0.283,0.309,0.332,0.342,0.334,0.316,0.299,0.291,0.295,0.305,0.314,0.319,0.322,0.326,0.332,0.335,0.328,0.311,0.293,0.29,0.313,0.355,0.402,0.437,0.451,0.445,0.425,0.41,0.419,0.46,0.522,0.583,0.625,0.644,0.648,0.641,0.626,0.608,0.591,0.579,0.572,0.564,0.549,0.529,0.502,0.472,0.437,0.401,0.366,0.338,0.319,0.308,0.303,0.3,0.296,0.295,0.301,0.315,0.334,0.352,0.366,0.376,0.385,0.395,0.404,0.409,0.41,0.406,0.4,0.395,0.398,0.411,0.438,0.476,0.519,0.56,0.594,0.617,0.632,0.641,0.648,0.653,0.655,0.654,0.651,0.64,0.613,0.563,0.492,0.414,0.346,0.302,0.281,0.277,0.28,0.284,0.283,0.275,0.263,0.251,0.243,0.241,0.239,0.233,0.22,0.202,0.187,0.18,0.182,0.189,0.194,0.192,0.187,0.189,0.215,0.274,0.354,0.425,0.462,0.457,0.432,0.416,0.426,0.457,0.485,0.487,0.462,0.425,0.404,0.409,0.434,0.455,0.451,0.417,0.368,0.324,0.299,0.298,0.321,0.364,0.414,0.45,0.455,0.429,0.391,0.359,0.343,0.336,0.334,0.33,0.327,0.324,0.325,0.328,0.331,0.333,0.333,0.331,0.328,0.324,0.321,0.319,0.319,0.322,0.324,0.323,0.319,0.314,0.31,0.31,0.311,0.311,0.311,0.309,0.307,0.307,0.308,0.31,0.313,0.314,0.313,0.307,0.295,0.275,0.249,0.224,0.207,0.203,0.209,0.219,0.231,0.253,0.294,0.354,0.409,0.434,0.418,0.382,0.357,0.364,0.399,0.436,0.449,0.432,0.4,0.379,0.384,0.412,0.442,0.453,0.434,0.394,0.353,0.325,0.317,0.332,0.368,0.412,0.442,0.443,0.414,0.373,0.34,0.322,0.314,0.311,0.31,0.31,0.311,0.309,0.304,0.299,0.295,0.292,0.29,0.291,0.294,0.301,0.307,0.31,0.311,0.31,0.309,0.308,0.304,0.298,0.292,0.287,0.282,0.274,0.259,0.234,0.205,0.178,0.158,0.147,0.145,0.148,0.153,0.159,0.165,0.173,0.181,0.191,0.199,0.205,0.209,0.212,0.214,0.216,0.218,0.218,0.217,0.213,0.207,0.2,0.193,0.189,0.19,0.196,0.209,0.225,0.239,0.247,0.248,0.245,0.244,0.26,0.302,0.373,0.455,0.526,0.572,0.592,0.599,0.603,0.609,0.615,0.617,0.616,0.61,0.603,0.595,0.588,0.582,0.577,0.574,0.567,0.55,0.516,0.464,0.404,0.347,0.305,0.281,0.273,0.277,0.285,0.297,0.307,0.314,0.315,0.309,0.298,0.285,0.276,0.277,0.286,0.299,0.305,0.302,0.29,0.277,0.274,0.283,0.305,0.334,0.366,0.394,0.414,0.422,0.417,0.401,0.381,0.363,0.358,0.371,0.403,0.446,0.489,0.527,0.555,0.577,0.591,0.595,0.59,0.581,0.575,0.575,0.58,0.588,0.596,0.606,0.616,0.625,0.63,0.628,0.616,0.597,0.575,0.558,0.553,0.558,0.566,0.568,0.554,0.523,0.479,0.431,0.386,0.351,0.328,0.318,0.317,0.325,0.336,0.343,0.34,0.323,0.3,0.281,0.274,0.281,0.296,0.313,0.328,0.336,0.336,0.331,0.324,0.318,0.31,0.3,0.289,0.28,0.275,0.276,0.28,0.283,0.286,0.294,0.309,0.329,0.346,0.355,0.356,0.354,0.353,0.353,0.353,0.351,0.346,0.346,0.359,0.395,0.45,0.512,0.566,0.601,0.617,0.618,0.61,0.601,0.596,0.6,0.609,0.616,0.616,0.61,0.604,0.6,0.597,0.588,0.574,0.556,0.537,0.521,0.511,0.509,0.518,0.53,0.537,0.522,0.481,0.42,0.362,0.333,0.35,0.404,0.466,0.512,0.53,0.534,0.539,0.553,0.566,0.565,0.54,0.493,0.439,0.401,0.395,0.424,0.47,0.51,0.528,0.529,0.525,0.527,0.535,0.543,0.543,0.539,0.531,0.52,0.497,0.457,0.408,0.367,0.351,0.36,0.38,0.394,0.402,0.408,0.416,0.418,0.408,0.389,0.378,0.388,0.423,0.472,0.524,0.569,0.602,0.621,0.624,0.616,0.606,0.599,0.598,0.601,0.605,0.61,0.619,0.634,0.653,0.67,0.678,0.675,0.658,0.632,0.602,0.581,0.574,0.582,0.596,0.603,0.596,0.576,0.549,0.524,0.502,0.481,0.457,0.425,0.39,0.363,0.361,0.389,0.434,0.473,0.49,0.482,0.46,0.434,0.406,0.377,0.353,0.341,0.347,0.366,0.387,0.396,0.384,0.355,0.323,0.305,0.312,0.341,0.38,0.414,0.432,0.429,0.407,0.373,0.34,0.321,0.32,0.329,0.336,0.335,0.325,0.316,0.312,0.319,0.342,0.388,0.458,0.54,0.616,0.67,0.697,0.702,0.693,0.678,0.664,0.654,0.649,0.647,0.646,0.643,0.639,0.63,0.619,0.604,0.586,0.568,0.551,0.538,0.524,0.508,0.489,0.473,0.467,0.473,0.484,0.488,0.479,0.459,0.434,0.412,0.395,0.38,0.368,0.364,0.374,0.394,0.413,0.419,0.412,0.4,0.392,0.395,0.406,0.42,0.43,0.433,0.432,0.428,0.423,0.41,0.388,0.357,0.327,0.307,0.301,0.304,0.309,0.31,0.305,0.294,0.279,0.26,0.236,0.206,0.173,0.138,0.107,0.085,0.074,0.074,0.079,0.086,0.089,0.088,0.082,0.073,0.06,0.047,0.036,0.031,0.032,0.035,0.035,0.03,0.021,0.011,0.005,0.002,0.006,0.028,0.086,0.197,0.359,0.538,0.689,0.782,0.816,0.814,0.798,0.78,0.76,0.74,0.724,0.719,0.722,0.721,0.709,0.686,0.667,0.661,0.665,0.67,0.663,0.646,0.625,0.609,0.598,0.59,0.58,0.567,0.554,0.542,0.534,0.527,0.522,0.519,0.518,0.517,0.516,0.514,0.512,0.508,0.505,0.502,0.5,0.499,0.5,0.501,0.501,0.5,0.496,0.49,0.483,0.474,0.464,0.453,0.443,0.441,0.451,0.475,0.507,0.539,0.561,0.57,0.568,0.561,0.554,0.548,0.545,0.544,0.545,0.548,0.555,0.567,0.586,0.607,0.629,0.651,0.673,0.695,0.712,0.719,0.714,0.7,0.687,0.675,0.668,0.66,0.651,0.64,0.632,0.632,0.639,0.656,0.678,0.703,0.723,0.728,0.713,0.682,0.648,0.626,0.618,0.62,0.617,0.604,0.574,0.528,0.469,0.406,0.347,0.303,0.277,0.266,0.264,0.267,0.275,0.287,0.3,0.311,0.318,0.322,0.325,0.326,0.325,0.323,0.322,0.325,0.33,0.334,0.336,0.336,0.334,0.334,0.341,0.366,0.417,0.491,0.573,0.647,0.699,0.729,0.742,0.747,0.748,0.745,0.737,0.725,0.715,0.711,0.71,0.707,0.699,0.681,0.643,0.575,0.473,0.349,0.226,0.129,0.066,0.034,0.019,0.012,0.008,0.005,0.003,0.002,0.001,0.001,0.001]