[0.051,0.08,0.146,0.233,0.316,0.373,0.402,0.413,0.42,0.42,0.402,0.36,0.305,0.265,0.264,0.31,0.381,0.451,0.493,0.502,0.486,0.461,0.435,0.415,0.398,0.381,0.362,0.343,0.33,0.326,0.328,0.323,0.302,0.262,0.214,0.167,0.124,0.088,0.059,0.044,0.051,0.09,0.16,0.249,0.333,0.393,0.417,0.409,0.374,0.316,0.243,0.171,0.12,0.111,0.146,0.214,0.283,0.324,0.317,0.271,0.218,0.195,0.218,0.272,0.32,0.336,0.324,0.306,0.307,0.329,0.355,0.362,0.341,0.297,0.247,0.211,0.204,0.23,0.275,0.316,0.335,0.327,0.296,0.249,0.195,0.146,0.121,0.131,0.174,0.225,0.256,0.252,0.226,0.204,0.203,0.216,0.227,0.234,0.251,0.29,0.343,0.39,0.41,0.398,0.367,0.336,0.316,0.311,0.31,0.307,0.299,0.289,0.274,0.244,0.195,0.14,0.098,0.09,0.125,0.197,0.283,0.354,0.39,0.384,0.342,0.279,0.213,0.161,0.126,0.104,0.089,0.083,0.097,0.137,0.197,0.259,0.302,0.323,0.334,0.349,0.37,0.383,0.373,0.34,0.301,0.278,0.28,0.297,0.311,0.315,0.32,0.337,0.36,0.373,0.358,0.316,0.266,0.232,0.228,0.249,0.269,0.265,0.228,0.169,0.112,0.075,0.072,0.104,0.163,0.233,0.292,0.328,0.341,0.34,0.335,0.331,0.331,0.331,0.327,0.318,0.308,0.301,0.301,0.307,0.314,0.316,0.314,0.308,0.303,0.303,0.309,0.321,0.335,0.349,0.362,0.372,0.38,0.375,0.347,0.291,0.215,0.138,0.078,0.046,0.046,0.077,0.136,0.209,0.275,0.313,0.318,0.296,0.266,0.245,0.242,0.253,0.268,0.282,0.301,0.335,0.385,0.441,0.486,0.504,0.493,0.46,0.418,0.377,0.342,0.312,0.286,0.261,0.238,0.221,0.208,0.195,0.177,0.15,0.117,0.084,0.055,0.032,0.017,0.008,0.003,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.001,0.004,0.015,0.041,0.091,0.165,0.25,0.319,0.345,0.319,0.259,0.197,0.16,0.162,0.211,0.311,0.459,0.621,0.751,0.802,0.764,0.654,0.51,0.365,0.241,0.15,0.097,0.087,0.12,0.19,0.275,0.352,0.401,0.42,0.421,0.422,0.428,0.432,0.422,0.398,0.374,0.367,0.374,0.379,0.358,0.309,0.247,0.201,0.193,0.218,0.253,0.266,0.244,0.2,0.159,0.146,0.17,0.225,0.289,0.339,0.364,0.366,0.357,0.347,0.334,0.312,0.28,0.243,0.216,0.213,0.238,0.277,0.305,0.301,0.26,0.203,0.163,0.162,0.199,0.252,0.292,0.299,0.275,0.228,0.173,0.125,0.1,0.108,0.147,0.197,0.236,0.25,0.245,0.241,0.253,0.283,0.317,0.341,0.348,0.344,0.335,0.325,0.313,0.3,0.282,0.252,0.209,0.158,0.12,0.114,0.152,0.225,0.309,0.378,0.416,0.418,0.392,0.346,0.289,0.227,0.17,0.125,0.103,0.113,0.156,0.22,0.288,0.344,0.392,0.438,0.488,0.53,0.546,0.518,0.45,0.364,0.296,0.265,0.266,0.271,0.259,0.237,0.228,0.245,0.272,0.282,0.259,0.207,0.148,0.103,0.084,0.099,0.146,0.216,0.29,0.347,0.375,0.373,0.348,0.309,0.266,0.229,0.207,0.207,0.225,0.248,0.263,0.262,0.247,0.221,0.19,0.156,0.121,0.085,0.053,0.028,0.012,0.004,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.003,0.011,0.034,0.079,0.152,0.242,0.329,0.387,0.397,0.357,0.281,0.195,0.123,0.075,0.052,0.049,0.064,0.105,0.17,0.252,0.331,0.389,0.42,0.427,0.414,0.386,0.344,0.295,0.252,0.225,0.219,0.228,0.245,0.264,0.286,0.311,0.336,0.359,0.376,0.386,0.391,0.39,0.383,0.373,0.362,0.355,0.355,0.358,0.358,0.344,0.312,0.262,0.204,0.157,0.138,0.147,0.168,0.176,0.16,0.133,0.12,0.14,0.192,0.256,0.308,0.335,0.34,0.333,0.324,0.317,0.312,0.309,0.303,0.291,0.269,0.24,0.209,0.183,0.17,0.174,0.196,0.225,0.247,0.246,0.225,0.194,0.165,0.147,0.148,0.175,0.221,0.262,0.271,0.239,0.186,0.144,0.137,0.169,0.225,0.284,0.328,0.35,0.354,0.351,0.351,0.36,0.375,0.379,0.356,0.3,0.226,0.162,0.137,0.158,0.208,0.259,0.287,0.284,0.258,0.224,0.191,0.165,0.145,0.124,0.099,0.071,0.044,0.023,0.01,0.003,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.001,0.004,0.018,0.051,0.112,0.196,0.286,0.36,0.409,0.44,0.466,0.487,0.491,0.461,0.393,0.302,0.224,0.196,0.24,0.348,0.479,0.584,0.621,0.58,0.482,0.371,0.291,0.266,0.288,0.326,0.343,0.32,0.261,0.189,0.125,0.084,0.072,0.093,0.149,0.23,0.315,0.374,0.384,0.344,0.272,0.2,0.154,0.148,0.181,0.244,0.316,0.376,0.409,0.415,0.403,0.385,0.362,0.33,0.283,0.229,0.185,0.171,0.196,0.247,0.301,0.336,0.343,0.318,0.268,0.202,0.135,0.082,0.047,0.032,0.033,0.052,0.093,0.157,0.229,0.279,0.285,0.246,0.191,0.154,0.155,0.185,0.222,0.241,0.231,0.197,0.151,0.109,0.08,0.072,0.087,0.125,0.18,0.239,0.283,0.298,0.283,0.246,0.2,0.151,0.113,0.097,0.113,0.159,0.217,0.266,0.293,0.298,0.294,0.291,0.292,0.288,0.267,0.225,0.17,0.116,0.076,0.053,0.043,0.041,0.052,0.082,0.139,0.218,0.305,0.382,0.432,0.45,0.431,0.377,0.299,0.215,0.15,0.123,0.141,0.194,0.258,0.311,0.339,0.343,0.335,0.327,0.324,0.326,0.33,0.33,0.322,0.303,0.272,0.237,0.208,0.197,0.209,0.24,0.273,0.294,0.296,0.278,0.245,0.204,0.165,0.143,0.153,0.198,0.264,0.325,0.355,0.339,0.284,0.219,0.175,0.175,0.215,0.27,0.311,0.32,0.302,0.277,0.264,0.269,0.277,0.27,0.24,0.194,0.145,0.107,0.087,0.09,0.12,0.171,0.221,0.244,0.225,0.181,0.146,0.144,0.173,0.208,0.221,0.202,0.166,0.136,0.135,0.167,0.219,0.269,0.302,0.313,0.307,0.288,0.257,0.216,0.168,0.121,0.083,0.054,0.036,0.027,0.031,0.052,0.099,0.166,0.239,0.3,0.337,0.353,0.356,0.355,0.352,0.348,0.345,0.341,0.337,0.333,0.33,0.329,0.324,0.307,0.275,0.23,0.179,0.129,0.086,0.051,0.027,0.012,0.004,0.001,0,0,0,0,0,0,0,0,0,0,0,0.001,0.004,0.017,0.049,0.103,0.175,0.248,0.308,0.35,0.382,0.413,0.443,0.462,0.465,0.45,0.421,0.381,0.334,0.284,0.237,0.207,0.206,0.235,0.287,0.34,0.373,0.376,0.355,0.328,0.311,0.313,0.325,0.332,0.321,0.288,0.239,0.183,0.131,0.093,0.079,0.101,0.16,0.238,0.3,0.312,0.27,0.205,0.163,0.176,0.243,0.334,0.412,0.454,0.458,0.435,0.397,0.346,0.285,0.22,0.171,0.157,0.187,0.243,0.298,0.324,0.314,0.279,0.234,0.195,0.171,0.167,0.187,0.231,0.291,0.347,0.383,0.39,0.38,0.369,0.37,0.382,0.396,0.399,0.385,0.351,0.301,0.24,0.179,0.136,0.124,0.152,0.212,0.285,0.348,0.386,0.399,0.396,0.383,0.361,0.323,0.265,0.2,0.149,0.135,0.166,0.23,0.302,0.356,0.381,0.38,0.359,0.322,0.271,0.211,0.156,0.126,0.133,0.174,0.229,0.267,0.268,0.233,0.188,0.16,0.164,0.198,0.248,0.298,0.335,0.353,0.353,0.339,0.312,0.271,0.22,0.167,0.126,0.107,0.113,0.142,0.198,0.28,0.373,0.447,0.48,0.467,0.435,0.408,0.398,0.396,0.384,0.357,0.324,0.304,0.3,0.298,0.281,0.241,0.193,0.155,0.14,0.149,0.179,0.221,0.258,0.275,0.267,0.249,0.242,0.253,0.268,0.266,0.238,0.194,0.152,0.128,0.132,0.168,0.231,0.304,0.368,0.406,0.418,0.416,0.411,0.407,0.402,0.39,0.364,0.324,0.279,0.245,0.235,0.254,0.296,0.345,0.383,0.392,0.366,0.306,0.225,0.145,0.085,0.054,0.055,0.087,0.147,0.221,0.285,0.318,0.311,0.274,0.223,0.174,0.133,0.101,0.079,0.07,0.076,0.098,0.14,0.206,0.296,0.39,0.455,0.471,0.445,0.406,0.385,0.388,0.4,0.399,0.375,0.334,0.296,0.276,0.277,0.285,0.288,0.286,0.289,0.295,0.295,0.278,0.243,0.2,0.164,0.145,0.144,0.162,0.189,0.212,0.22,0.21,0.187,0.159,0.133,0.107,0.081,0.056,0.034,0.017,0.008,0.003,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.001,0.005,0.019,0.051,0.099,0.151,0.181,0.178,0.151,0.134,0.155,0.224,0.316,0.389,0.409,0.37,0.302,0.243,0.226,0.253,0.305,0.355,0.387,0.399,0.399,0.398,0.399,0.4,0.392,0.365,0.314,0.25,0.193,0.162,0.167,0.206,0.268,0.335,0.388,0.409,0.394,0.352,0.306,0.277,0.276,0.3,0.335,0.366,0.384,0.387,0.381,0.364,0.333,0.286,0.23,0.178,0.149,0.154,0.195,0.255,0.311,0.345,0.346,0.316,0.265,0.21,0.165,0.144,0.147,0.176,0.231,0.302,0.368,0.409,0.414,0.398,0.386,0.388,0.392,0.371,0.31,0.223,0.139,0.083,0.061,0.075,0.121,0.195,0.279,0.347,0.373,0.345,0.276,0.193,0.131,0.114,0.149,0.219,0.297,0.353,0.372,0.353,0.305,0.243,0.178,0.122,0.081,0.057,0.05,0.061,0.097,0.16,0.24,0.318,0.373,0.397,0.395,0.38,0.364,0.352,0.345,0.341,0.334,0.315,0.28,0.232,0.18,0.135,0.104,0.094,0.111,0.158,0.223,0.289,0.338,0.366,0.38,0.387,0.388,0.381,0.364,0.336,0.297,0.248,0.199,0.159,0.134,0.119,0.102,0.081,0.058,0.045,0.053,0.089,0.153,0.232,0.303,0.349,0.365,0.36,0.35,0.344,0.342,0.342,0.341,0.332,0.311,0.27,0.211,0.144,0.083,0.039,0.014,0.004,0.001,0,0,0,0,0,0,0,0,0,0,0,0.001,0.006,0.019,0.049,0.102,0.183,0.284,0.386,0.466,0.507,0.502,0.458,0.392,0.33,0.294,0.291,0.31,0.33,0.329,0.303,0.263,0.224,0.201,0.206,0.245,0.308,0.376,0.43,0.457,0.459,0.437,0.39,0.319,0.239,0.177,0.157,0.182,0.236,0.293,0.333,0.351,0.346,0.318,0.27,0.213,0.165,0.141,0.147,0.178,0.224,0.27,0.304,0.321,0.323,0.315,0.3,0.277,0.242,0.199,0.158,0.136,0.148,0.196,0.262,0.321,0.348,0.334,0.286,0.225,0.17,0.131,0.105,0.084,0.064,0.049,0.043,0.057,0.095,0.159,0.237,0.31,0.362,0.386,0.389,0.383,0.378,0.376,0.376,0.367,0.339,0.287,0.218,0.149,0.097,0.08,0.103,0.165,0.251,0.334,0.382,0.377,0.32,0.234,0.152,0.1,0.094,0.133,0.202,0.275,0.326,0.336,0.306,0.247,0.179,0.118,0.076,0.057,0.062,0.092,0.146,0.212,0.273,0.315,0.333,0.337,0.334,0.326,0.306,0.275,0.241,0.22,0.222,0.24,0.257,0.254,0.227,0.182,0.135,0.106,0.108,0.148,0.214,0.282,0.332,0.353,0.354,0.347,0.34,0.327,0.3,0.255,0.198,0.14,0.092,0.061,0.049,0.054,0.073,0.107,0.157,0.224,0.293,0.349,0.381,0.388,0.378,0.364,0.352,0.346,0.343,0.335,0.311,0.267,0.214,0.165,0.129,0.105,0.083,0.061,0.048,0.055,0.093,0.161,0.241,0.309,0.344,0.335,0.289,0.222,0.157,0.122,0.129,0.173,0.227,0.261,0.256,0.219,0.169,0.134,0.129,0.152,0.183,0.201,0.198,0.186,0.186,0.207,0.242,0.278,0.301,0.314,0.319,0.32,0.317,0.308,0.291,0.266,0.238,0.213,0.197,0.195,0.207,0.23,0.258,0.279,0.284,0.268,0.236,0.195,0.153,0.113,0.078,0.049,0.027,0.013,0.005,0.002,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.001,0.007,0.026,0.07,0.142,0.232,0.318,0.379,0.407,0.411,0.401,0.385,0.369,0.355,0.342,0.323,0.291,0.245,0.199,0.173,0.184,0.227,0.274,0.291,0.261,0.197,0.126,0.077,0.063,0.087,0.142,0.213,0.28,0.328,0.349,0.35,0.341,0.331,0.325,0.322,0.321,0.32,0.319,0.315,0.303,0.278,0.238,0.191,0.153,0.143,0.173,0.236,0.31,0.366,0.382,0.359,0.314,0.275,0.264,0.287,0.329,0.371,0.392,0.39,0.366,0.324,0.266,0.203,0.148,0.123,0.14,0.195,0.262,0.305,0.299,0.248,0.179,0.131,0.128,0.169,0.237,0.303,0.35,0.369,0.361,0.328,0.278,0.222,0.179,0.165,0.184,0.228,0.279,0.319,0.339,0.333,0.302,0.25,0.19,0.143,0.129,0.158,0.22,0.294,0.357,0.397,0.416,0.421,0.416,0.4,0.368,0.321,0.269,0.233,0.23,0.264,0.32,0.37,0.39,0.372,0.324,0.263,0.206,0.163,0.131,0.112,0.108,0.131,0.183,0.255,0.327,0.38,0.406,0.403,0.369,0.308,0.235,0.17,0.129,0.113,0.115,0.13,0.162,0.213,0.272,0.321,0.339,0.32,0.27,0.203,0.139,0.096,0.077,0.077,0.09,0.116,0.159,0.208,0.242,0.237,0.193,0.128,0.07,0.035,0.025,0.037,0.072,0.128,0.198,0.265,0.312,0.331,0.329,0.315,0.293,0.26,0.214,0.16,0.107,0.065,0.037,0.022,0.013,0.008,0.005,0.002,0.001,0,0,0,0,0,0,0,0,0,0.001,0.007,0.024,0.059,0.111,0.167,0.206,0.22,0.217,0.221,0.251,0.303,0.358,0.394,0.403,0.391,0.37,0.345,0.315,0.277,0.231,0.181,0.132,0.094,0.071,0.064,0.071,0.095,0.143,0.22,0.312,0.392,0.431,0.418,0.366,0.303,0.258,0.244,0.257,0.284,0.309,0.321,0.319,0.308,0.295,0.286,0.28,0.274,0.261,0.238,0.206,0.17,0.135,0.103,0.075,0.052,0.041,0.053,0.093,0.157,0.227,0.286,0.33,0.362,0.383,0.386,0.362,0.315,0.254,0.194,0.146,0.122,0.127,0.163,0.218,0.272,0.31,0.328,0.329,0.319,0.302,0.275,0.238,0.194,0.157,0.146,0.172,0.226,0.283,0.32,0.328,0.318,0.303,0.293,0.283,0.268,0.243,0.212,0.177,0.144,0.114,0.097,0.105,0.144,0.209,0.276,0.322,0.334,0.312,0.27,0.222,0.185,0.171,0.184,0.213,0.242,0.255,0.244,0.214,0.173,0.129,0.088,0.052,0.027,0.011,0.004,0.001,0,0,0,0,0,0,0,0,0.002,0.009,0.027,0.062,0.116,0.182,0.245,0.292,0.313,0.313,0.301,0.282,0.252,0.214,0.175,0.148,0.14,0.141,0.139,0.131,0.133,0.166,0.234,0.318,0.386,0.414,0.395,0.342,0.278,0.228,0.207,0.212,0.223,0.221,0.201,0.18,0.18,0.209,0.258,0.31,0.35,0.372,0.38,0.38,0.377,0.37,0.352,0.317,0.269,0.214,0.164,0.135,0.138,0.173,0.224,0.268,0.28,0.256,0.205,0.151,0.114,0.104,0.119,0.145,0.169,0.183,0.186,0.177,0.158,0.128,0.093,0.06,0.033,0.015,0.006,0.002,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.001,0.006,0.022,0.064,0.145,0.266,0.406,0.522,0.575,0.554,0.493,0.443,0.438,0.462,0.472,0.43,0.341,0.239,0.155,0.103,0.081,0.089,0.131,0.202,0.281,0.336,0.357,0.357,0.364,0.39,0.423,0.434,0.407,0.349,0.29,0.259,0.27,0.313,0.363,0.4,0.415,0.417,0.416,0.415,0.412,0.402,0.388,0.372,0.359,0.347,0.328,0.296,0.248,0.195,0.154,0.145,0.174,0.231,0.296,0.35,0.387,0.41,0.422,0.43,0.435,0.434,0.423,0.394,0.341,0.274,0.208,0.163,0.141,0.13,0.116,0.095,0.071,0.058,0.073,0.124,0.209,0.309,0.395,0.441,0.445,0.422,0.392,0.365,0.339,0.304,0.255,0.196,0.139,0.093,0.066,0.061,0.084,0.134,0.204,0.276,0.334,0.366,0.379,0.389,0.405,0.428,0.448,0.457,0.45,0.434,0.415,0.396,0.374,0.351,0.33,0.319,0.32,0.326,0.328,0.314,0.285,0.247,0.218,0.212,0.235,0.279,0.321,0.34,0.319,0.262,0.189,0.126,0.1,0.122,0.188,0.271,0.34,0.364,0.336,0.268,0.185,0.111,0.062,0.038,0.036,0.046,0.064,0.091,0.131,0.186,0.249,0.304,0.341,0.363,0.376,0.385,0.385,0.375,0.362,0.355,0.359,0.366,0.367,0.362,0.356,0.355,0.359,0.362,0.358,0.34,0.307,0.26,0.201,0.138,0.083,0.042,0.018,0.006,0.002,0.001,0,0,0,0,0,0,0,0,0,0,0,0.001,0.004,0.018,0.052,0.113,0.197,0.278,0.326,0.323,0.272,0.197,0.128,0.088,0.093,0.144,0.229,0.32,0.39,0.419,0.406,0.366,0.321,0.294,0.298,0.325,0.344,0.327,0.268,0.187,0.11,0.057,0.035,0.047,0.093,0.171,0.262,0.341,0.389,0.4,0.38,0.336,0.277,0.216,0.168,0.15,0.165,0.201,0.237,0.265,0.29,0.321,0.349,0.359,0.342,0.314,0.3,0.312,0.339,0.36,0.36,0.331,0.277,0.209,0.145,0.111,0.124,0.188,0.285,0.381,0.441,0.448,0.413,0.368,0.343,0.346,0.365,0.377,0.366,0.33,0.271,0.205,0.149,0.125,0.143,0.195,0.261,0.316,0.348,0.36,0.359,0.348,0.319,0.266,0.197,0.128,0.077,0.055,0.06,0.087,0.135,0.202,0.276,0.33,0.346,0.326,0.298,0.286,0.3,0.332,0.367,0.396,0.412,0.41,0.395,0.375,0.355,0.338,0.326,0.318,0.315,0.311,0.298,0.275,0.244,0.212,0.184,0.158,0.131,0.108,0.106,0.144,0.225,0.329,0.418,0.46,0.447,0.394,0.334,0.294,0.288,0.308,0.33,0.333,0.307,0.262,0.211,0.161,0.118,0.084,0.065,0.062,0.07,0.085,0.107,0.144,0.198,0.261,0.318,0.358,0.373,0.359,0.322,0.277,0.247,0.244,0.262,0.273,0.257,0.211,0.159,0.125,0.118,0.129,0.145,0.164,0.19,0.223,0.253,0.264,0.252,0.225,0.2,0.184,0.178,0.174,0.166,0.152,0.134,0.11,0.084,0.057,0.034,0.018,0.008,0.003,0.001,0,0,0,0,0,0,0,0]