[0.002,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.002,0.003,0.008,0.015,0.023,0.032,0.038,0.042,0.043,0.04,0.035,0.029,0.024,0.022,0.022,0.028,0.044,0.069,0.099,0.124,0.132,0.125,0.11,0.097,0.09,0.089,0.092,0.095,0.098,0.102,0.112,0.13,0.155,0.182,0.203,0.215,0.223,0.232,0.243,0.253,0.257,0.254,0.241,0.22,0.193,0.169,0.155,0.154,0.159,0.162,0.159,0.15,0.139,0.129,0.121,0.116,0.117,0.126,0.142,0.16,0.172,0.174,0.169,0.162,0.156,0.155,0.159,0.166,0.172,0.17,0.159,0.143,0.124,0.108,0.098,0.098,0.105,0.117,0.127,0.13,0.127,0.121,0.116,0.111,0.109,0.107,0.108,0.113,0.124,0.145,0.174,0.203,0.224,0.228,0.216,0.202,0.198,0.208,0.226,0.243,0.253,0.255,0.253,0.25,0.254,0.267,0.286,0.3,0.302,0.286,0.257,0.225,0.197,0.176,0.164,0.158,0.16,0.168,0.179,0.188,0.188,0.181,0.168,0.158,0.154,0.16,0.172,0.185,0.194,0.197,0.196,0.19,0.181,0.177,0.182,0.198,0.216,0.224,0.217,0.2,0.182,0.169,0.161,0.157,0.152,0.148,0.143,0.139,0.137,0.136,0.137,0.138,0.14,0.144,0.152,0.165,0.179,0.187,0.185,0.174,0.157,0.142,0.133,0.135,0.144,0.152,0.154,0.147,0.135,0.125,0.121,0.12,0.121,0.12,0.116,0.114,0.118,0.131,0.153,0.176,0.192,0.195,0.184,0.164,0.142,0.123,0.109,0.101,0.096,0.092,0.088,0.084,0.082,0.084,0.088,0.093,0.096,0.098,0.1,0.101,0.101,0.1,0.097,0.093,0.091,0.092,0.099,0.113,0.128,0.138,0.138,0.128,0.113,0.102,0.1,0.106,0.112,0.113,0.106,0.095,0.086,0.084,0.092,0.105,0.12,0.134,0.144,0.15,0.152,0.15,0.147,0.144,0.143,0.143,0.144,0.144,0.143,0.138,0.129,0.117,0.104,0.094,0.088,0.085,0.085,0.085,0.086,0.096,0.127,0.184,0.263,0.34,0.392,0.408,0.402,0.39,0.384,0.382,0.377,0.37,0.36,0.352,0.344,0.333,0.312,0.279,0.236,0.194,0.166,0.156,0.161,0.173,0.183,0.193,0.204,0.22,0.24,0.26,0.276,0.287,0.291,0.286,0.271,0.247,0.22,0.195,0.174,0.158,0.144,0.137,0.138,0.15,0.174,0.203,0.223,0.224,0.205,0.175,0.148,0.131,0.125,0.125,0.123,0.118,0.111,0.106,0.109,0.121,0.139,0.155,0.164,0.166,0.161,0.154,0.146,0.141,0.138,0.138,0.141,0.15,0.167,0.19,0.21,0.219,0.213,0.204,0.201,0.208,0.219,0.226,0.225,0.217,0.207,0.197,0.192,0.197,0.213,0.235,0.253,0.259,0.251,0.235,0.219,0.206,0.197,0.193,0.194,0.203,0.215,0.225,0.228,0.223,0.217,0.218,0.229,0.247,0.26,0.261,0.251,0.235,0.224,0.23,0.256,0.302,0.357,0.401,0.422,0.414,0.389,0.361,0.343,0.339,0.347,0.357,0.363,0.363,0.358,0.352,0.346,0.338,0.325,0.308,0.291,0.282,0.279,0.28,0.276,0.266,0.251,0.236,0.228,0.231,0.244,0.262,0.275,0.272,0.252,0.22,0.188,0.164,0.153,0.153,0.165,0.186,0.21,0.232,0.248,0.256,0.258,0.254,0.247,0.237,0.228,0.222,0.218,0.216,0.212,0.207,0.199,0.195,0.196,0.203,0.21,0.209,0.198,0.181,0.164,0.15,0.139,0.131,0.126,0.126,0.133,0.146,0.163,0.176,0.181,0.174,0.16,0.147,0.139,0.138,0.144,0.154,0.163,0.166,0.158,0.143,0.124,0.107,0.096,0.088,0.083,0.079,0.077,0.078,0.083,0.091,0.098,0.1,0.092,0.076,0.057,0.039,0.028,0.022,0.019,0.017,0.015,0.013,0.012,0.014,0.018,0.026,0.041,0.071,0.125,0.2,0.281,0.344,0.377,0.382,0.375,0.368,0.363,0.359,0.355,0.352,0.35,0.351,0.353,0.353,0.348,0.335,0.318,0.301,0.289,0.284,0.285,0.29,0.295,0.3,0.304,0.318,0.349,0.396,0.447,0.484,0.496,0.485,0.461,0.437,0.42,0.415,0.417,0.421,0.42,0.415,0.407,0.394,0.373,0.344,0.313,0.289,0.278,0.276,0.279,0.282,0.28,0.277,0.278,0.292,0.324,0.372,0.421,0.453,0.456,0.436,0.404,0.376,0.36,0.356,0.36,0.37,0.382,0.392,0.393,0.379,0.345,0.298,0.247,0.203,0.174,0.166,0.181,0.211,0.241,0.256,0.247,0.221,0.194,0.179,0.183,0.199,0.213,0.218,0.216,0.212,0.213,0.221,0.232,0.24,0.247,0.258,0.276,0.299,0.319,0.337,0.357,0.384,0.409,0.424,0.422,0.411,0.397,0.387,0.383,0.386,0.397,0.412,0.424,0.425,0.411,0.389,0.367,0.358,0.363,0.379,0.396,0.407,0.411,0.411,0.411,0.41,0.401,0.386,0.37,0.36,0.358,0.361,0.366,0.372,0.379,0.39,0.405,0.427,0.453,0.48,0.497,0.495,0.473,0.441,0.41,0.39,0.383,0.389,0.4,0.412,0.417,0.418,0.416,0.411,0.404,0.394,0.382,0.372,0.367,0.369,0.375,0.383,0.39,0.393,0.397,0.407,0.426,0.448,0.463,0.462,0.446,0.423,0.404,0.393,0.388,0.389,0.394,0.401,0.411,0.422,0.429,0.428,0.418,0.401,0.382,0.368,0.359,0.357,0.362,0.371,0.381,0.389,0.397,0.41,0.43,0.454,0.468,0.463,0.438,0.405,0.376,0.36,0.355,0.358,0.362,0.367,0.373,0.38,0.388,0.397,0.408,0.419,0.43,0.436,0.435,0.428,0.419,0.414,0.415,0.422,0.43,0.439,0.446,0.449,0.446,0.432,0.405,0.366,0.322,0.282,0.252,0.237,0.234,0.24,0.248,0.254,0.254,0.244,0.224,0.201,0.183,0.18,0.192,0.212,0.23,0.238,0.235,0.225,0.216,0.215,0.226,0.25,0.275,0.292,0.294,0.284,0.268,0.254,0.246,0.245,0.252,0.264,0.279,0.291,0.293,0.283,0.261,0.231,0.203,0.187,0.187,0.2,0.218,0.232,0.238,0.239,0.235,0.229,0.224,0.221,0.219,0.215,0.206,0.195,0.186,0.183,0.183,0.186,0.19,0.195,0.203,0.215,0.23,0.245,0.254,0.253,0.244,0.236,0.237,0.247,0.261,0.271,0.276,0.279,0.282,0.289,0.299,0.309,0.317,0.321,0.32,0.319,0.32,0.319,0.312,0.295,0.273,0.256,0.252,0.26,0.272,0.275,0.262,0.24,0.223,0.223,0.242,0.265,0.279,0.278,0.267,0.254,0.249,0.26,0.288,0.325,0.355,0.366,0.356,0.332,0.304,0.279,0.262,0.254,0.257,0.266,0.279,0.291,0.301,0.304,0.295,0.274,0.249,0.229,0.221,0.224,0.232,0.238,0.238,0.228,0.216,0.211,0.222,0.248,0.278,0.3,0.309,0.308,0.302,0.296,0.289,0.284,0.28,0.277,0.276,0.277,0.278,0.275,0.266,0.251,0.24,0.235,0.235,0.235,0.233,0.23,0.226,0.224,0.225,0.23,0.243,0.262,0.282,0.294,0.293,0.279,0.257,0.234,0.218,0.216,0.226,0.245,0.266,0.28,0.283,0.274,0.259,0.238,0.218,0.203,0.202,0.215,0.236,0.254,0.258,0.252,0.242,0.237,0.237,0.239,0.236,0.232,0.231,0.238,0.25,0.264,0.275,0.284,0.29,0.297,0.309,0.328,0.354,0.38,0.402,0.415,0.422,0.423,0.423,0.423,0.425,0.426,0.426,0.426,0.427,0.432,0.436,0.434,0.419,0.391,0.362,0.34,0.333,0.339,0.349,0.357,0.36,0.361,0.36,0.355,0.338,0.307,0.266,0.228,0.201,0.189,0.191,0.202,0.22,0.241,0.268,0.3,0.338,0.377,0.409,0.425,0.419,0.398,0.372,0.355,0.351,0.357,0.362,0.359,0.348,0.337,0.335,0.345,0.36,0.368,0.364,0.349,0.33,0.317,0.315,0.322,0.331,0.335,0.329,0.322,0.325,0.344,0.368,0.379,0.36,0.315,0.261,0.217,0.195,0.192,0.202,0.215,0.231,0.253,0.279,0.305,0.317,0.311,0.291,0.273,0.266,0.27,0.279,0.287,0.289,0.289,0.288,0.297,0.322,0.362,0.403,0.428,0.424,0.396,0.358,0.32,0.289,0.266,0.251,0.247,0.256,0.276,0.302,0.324,0.335,0.334,0.33,0.331,0.336,0.339,0.332,0.317,0.301,0.296,0.306,0.335,0.375,0.413,0.436,0.435,0.413,0.381,0.351,0.335,0.334,0.346,0.361,0.375,0.385,0.394,0.403,0.409,0.406,0.392,0.37,0.35,0.337,0.33,0.325,0.316,0.304,0.294,0.294,0.31,0.345,0.387,0.42,0.43,0.415,0.384,0.348,0.315,0.29,0.276,0.276,0.289,0.312,0.34,0.363,0.373,0.367,0.35,0.333,0.321,0.317,0.315,0.311,0.303,0.296,0.294,0.304,0.329,0.365,0.398,0.412,0.397,0.356,0.307,0.267,0.245,0.239,0.244,0.255,0.275,0.303,0.334,0.358,0.364,0.351,0.326,0.304,0.292,0.292,0.299,0.307,0.312,0.314,0.315,0.322,0.342,0.374,0.404,0.415,0.4,0.366,0.333,0.313,0.309,0.314,0.318,0.317,0.313,0.312,0.318,0.324,0.32,0.301,0.27,0.242,0.226,0.223,0.226,0.23,0.237,0.253,0.28,0.315,0.353,0.39,0.419,0.436,0.44,0.437,0.436,0.438,0.441,0.443,0.443,0.442,0.445,0.451,0.458,0.46,0.455,0.442,0.427,0.418,0.415,0.417,0.42,0.423,0.424,0.427,0.436,0.455,0.485,0.515,0.533,0.53,0.508,0.48,0.456,0.441,0.435,0.435,0.439,0.445,0.453,0.463,0.471,0.473,0.469,0.459,0.45,0.444,0.439,0.434,0.428,0.421,0.417,0.418,0.425,0.441,0.463,0.486,0.502,0.505,0.497,0.485,0.475,0.47,0.469,0.47,0.472,0.477,0.483,0.487,0.487,0.483,0.477,0.472,0.471,0.471,0.472,0.473,0.473,0.473,0.475,0.48,0.492,0.511,0.531,0.544,0.544,0.534,0.52,0.512,0.512,0.516,0.52,0.522,0.524,0.526,0.529,0.533,0.535,0.535,0.533,0.529,0.523,0.516,0.51,0.51,0.512,0.515,0.513,0.509,0.508,0.515,0.525,0.529,0.518,0.495,0.472,0.456,0.45,0.449,0.45,0.453,0.459,0.47,0.481,0.488,0.486,0.472,0.453,0.434,0.422,0.418,0.42,0.423,0.425,0.426,0.428,0.439,0.462,0.493,0.523,0.538,0.534,0.514,0.489,0.467,0.453,0.445,0.439,0.435,0.434,0.439,0.45,0.463,0.47,0.467,0.457,0.446,0.44,0.44,0.443,0.448,0.452,0.454,0.456,0.463,0.477,0.496,0.513,0.521,0.515,0.502,0.486,0.473,0.464,0.461,0.463,0.47,0.481,0.495,0.509,0.519,0.52,0.512,0.496,0.479,0.467,0.461,0.461,0.464,0.469,0.476,0.485,0.499,0.514,0.527,0.529,0.52,0.505,0.494,0.489,0.49,0.493,0.492,0.488,0.484,0.485,0.493,0.505,0.517,0.521,0.516,0.507,0.5,0.499,0.503,0.509,0.512,0.509,0.504,0.5,0.5,0.499,0.489,0.462,0.417,0.358,0.293,0.234,0.187,0.156,0.138,0.127,0.12,0.116,0.121,0.132,0.144,0.151,0.153,0.16,0.181,0.211,0.235,0.238,0.216,0.183,0.156,0.151,0.176,0.227,0.283,0.323,0.327,0.298,0.248,0.193,0.144,0.106,0.081,0.071,0.079,0.103,0.138,0.176,0.204,0.212,0.201,0.18,0.16,0.148,0.14,0.132,0.121,0.112,0.113,0.131,0.17,0.223,0.272,0.297,0.282,0.235,0.17,0.11,0.067,0.044,0.038,0.043,0.055,0.076,0.107,0.144,0.178,0.196,0.194,0.181,0.17,0.167,0.171,0.175,0.176,0.179,0.191,0.219,0.261,0.31,0.348,0.362,0.35,0.322,0.293,0.274,0.266,0.259,0.245,0.223,0.202,0.193,0.201,0.217,0.228,0.222,0.199,0.174,0.163,0.169,0.183,0.195,0.198,0.192,0.186,0.193,0.222,0.271,0.317,0.339,0.324,0.283,0.232,0.186,0.151,0.129,0.121,0.125,0.141,0.167,0.199,0.231,0.252,0.254,0.238,0.218,0.204,0.201,0.203,0.202,0.196,0.188,0.185,0.2,0.239,0.296,0.35,0.379,0.371,0.332,0.277,0.225,0.189,0.173,0.171,0.172,0.174,0.177,0.186,0.2,0.215,0.224,0.227,0.226,0.227,0.23,0.232,0.23,0.226,0.223,0.23,0.253,0.294,0.34,0.375,0.383,0.359,0.31,0.25,0.197,0.161,0.149,0.159,0.184,0.213,0.237,0.249,0.251,0.245,0.233,0.217,0.201,0.193,0.197,0.209,0.218,0.22,0.217,0.226,0.257,0.303,0.343,0.357,0.338,0.306,0.287,0.296,0.327,0.359,0.372,0.362,0.342,0.326,0.327,0.345,0.37,0.39,0.398,0.395,0.389,0.39,0.399,0.411,0.42,0.42,0.414,0.409,0.409,0.414,0.415,0.403,0.373,0.333,0.297,0.273,0.266,0.272,0.281,0.287,0.289,0.288,0.288,0.288,0.286,0.281,0.275,0.27,0.268,0.268,0.268,0.27,0.273,0.279,0.294,0.32,0.356,0.394,0.419,0.426,0.419,0.408,0.401,0.397,0.394,0.388,0.379,0.369,0.361,0.357,0.36,0.369,0.38,0.388,0.391,0.39,0.391,0.396,0.404,0.411,0.41,0.402,0.396,0.399,0.415,0.432,0.438,0.423,0.392,0.354,0.321,0.3,0.291,0.292,0.299,0.309,0.321,0.333,0.344,0.349,0.349,0.346,0.343,0.343,0.345,0.346,0.342,0.334,0.328,0.33,0.345,0.374,0.409,0.438,0.45,0.443,0.424,0.401,0.38,0.366,0.358,0.357,0.362,0.37,0.377,0.379,0.374,0.365,0.358,0.358,0.365,0.374,0.378,0.374,0.362,0.352,0.352,0.37,0.402,0.436,0.458,0.461,0.446,0.421,0.394,0.374,0.366,0.368,0.377,0.384,0.385,0.382,0.379,0.382,0.388,0.39,0.385,0.377,0.372,0.375,0.382,0.387,0.383,0.374,0.367,0.372,0.393,0.427,0.457,0.472,0.469,0.452,0.431,0.41,0.393,0.385,0.385,0.394,0.406,0.415,0.42,0.42,0.417,0.412,0.406,0.397,0.384,0.368,0.352,0.339,0.333,0.335,0.348,0.373,0.405,0.432,0.446,0.441,0.423,0.401,0.381,0.366,0.356,0.35,0.349,0.35,0.355,0.361,0.365,0.363,0.355,0.344,0.334,0.328,0.327,0.33,0.335,0.339,0.34,0.335,0.326,0.313,0.298,0.283,0.268,0.258,0.252,0.251,0.256,0.266,0.279,0.288,0.29,0.281,0.261,0.231,0.197,0.169,0.156,0.156,0.167,0.183,0.201,0.217,0.232,0.249,0.27,0.295,0.324,0.359,0.395,0.426,0.445,0.454,0.457,0.461,0.466,0.473,0.482,0.495,0.513,0.53,0.54,0.537,0.518,0.487,0.45,0.413,0.381,0.356,0.34,0.331,0.328,0.327,0.331,0.346,0.374,0.412,0.449,0.478,0.496,0.509,0.519,0.528,0.533,0.534,0.534,0.533,0.533,0.531,0.527,0.517,0.498,0.469,0.433,0.398,0.367,0.345,0.332,0.325,0.322,0.322,0.329,0.348,0.379,0.416,0.448,0.47,0.483,0.496,0.509,0.521,0.526,0.526,0.525,0.528,0.535,0.546,0.553,0.552,0.541,0.527,0.516,0.514,0.518,0.527,0.536,0.545,0.551,0.556,0.562,0.567,0.567,0.556,0.537,0.519,0.512,0.515,0.521,0.523,0.52,0.517,0.518,0.523,0.531,0.539,0.544,0.547,0.548,0.548,0.546,0.541,0.532,0.52,0.507,0.498,0.499,0.512,0.53,0.544,0.545,0.529,0.505,0.482,0.468,0.464,0.464,0.465,0.467,0.473,0.483,0.497,0.51,0.515,0.51,0.497,0.483,0.476,0.477,0.484,0.493,0.501,0.508,0.511,0.513,0.515,0.519,0.525,0.527,0.524,0.517,0.512,0.509,0.509,0.51,0.512,0.515,0.518,0.521,0.526,0.529,0.528,0.521,0.51,0.498,0.489,0.484,0.48,0.476,0.474,0.474,0.475,0.479,0.486,0.496,0.505,0.508,0.503,0.495,0.49,0.49,0.492,0.493,0.493,0.497,0.51,0.533,0.562,0.585,0.592,0.583,0.567,0.556,0.557,0.566,0.578,0.586,0.589,0.589,0.588,0.593,0.604,0.617,0.623,0.617,0.601,0.584,0.573,0.568,0.565,0.564,0.565,0.569,0.575,0.582,0.589,0.594,0.598,0.603,0.609,0.617,0.624,0.628,0.628,0.625,0.623,0.625,0.632,0.64,0.642,0.632,0.603,0.555,0.49,0.423,0.365,0.331,0.326,0.344,0.365,0.366,0.336,0.282,0.225,0.185,0.173,0.186,0.215,0.246,0.273,0.296,0.316,0.329,0.33,0.314,0.287,0.263,0.255,0.27,0.299,0.328,0.345,0.355,0.363,0.372,0.374,0.36,0.33,0.292,0.259,0.236,0.225,0.219,0.214,0.208,0.205,0.209,0.219,0.231,0.239,0.243,0.245,0.242,0.235,0.229,0.235,0.255,0.282,0.296,0.281,0.241,0.193,0.159,0.149,0.163,0.19,0.222,0.252,0.273,0.282,0.278,0.263,0.246,0.241,0.255,0.286,0.317,0.331,0.322,0.299,0.277,0.268,0.273,0.287,0.304,0.319,0.328,0.329,0.326,0.323,0.319,0.31,0.294,0.272,0.251,0.239,0.24,0.248,0.254,0.251,0.24,0.233,0.241,0.262,0.282,0.287,0.273,0.248,0.22,0.2,0.194,0.206,0.227,0.246,0.253,0.248,0.241,0.238,0.237,0.234,0.224,0.21,0.196,0.189,0.193,0.208,0.225,0.236,0.232,0.219,0.206,0.2,0.202,0.206,0.206,0.201,0.189,0.179,0.179,0.194,0.218,0.241,0.252,0.25,0.241,0.23,0.221,0.213,0.203,0.189,0.175,0.165,0.164,0.174,0.19,0.202,0.206,0.199,0.186,0.171,0.159,0.152,0.149,0.149,0.149,0.148,0.148,0.15,0.153,0.153,0.148,0.137,0.125,0.117,0.115,0.117,0.116,0.111,0.105,0.102,0.106,0.111,0.114,0.11,0.101,0.089,0.081,0.08,0.084,0.089,0.093,0.095,0.098,0.102,0.105,0.104,0.101,0.097,0.093,0.088,0.083,0.08,0.076,0.072,0.066,0.059,0.052,0.047,0.043,0.041,0.039,0.037,0.034,0.031,0.031,0.038,0.052,0.071,0.089,0.105,0.129,0.181,0.273,0.394,0.503,0.56,0.552,0.499,0.436,0.389,0.363,0.352,0.349,0.348,0.346,0.343,0.333,0.311,0.269,0.209,0.143,0.086,0.047,0.028,0.025,0.032,0.049,0.075,0.108,0.142,0.171,0.19,0.195,0.189,0.174,0.154,0.131,0.108,0.088,0.072,0.061,0.056,0.055,0.06,0.07,0.085,0.099,0.107,0.104,0.094,0.082,0.076,0.077,0.082,0.084,0.081,0.074,0.067,0.065,0.069,0.074,0.077,0.075,0.071,0.065,0.061,0.058,0.056,0.054,0.053,0.053,0.055,0.06,0.07,0.085,0.101,0.112,0.11,0.098,0.084,0.075,0.076,0.081,0.084,0.085,0.086,0.094,0.114,0.139,0.159,0.165,0.155,0.134,0.111,0.092,0.079,0.072,0.07,0.071,0.076,0.083,0.091,0.101,0.11,0.119,0.129,0.141,0.151,0.155,0.147,0.131,0.114,0.107,0.113,0.129,0.149,0.166,0.178,0.183,0.183,0.18,0.177,0.176,0.179,0.183,0.184,0.179,0.167,0.153,0.144,0.143,0.147,0.148,0.142,0.134,0.128,0.127,0.129,0.127,0.118,0.106,0.098,0.102,0.116,0.136,0.153,0.164,0.165,0.159,0.146,0.133,0.122,0.115,0.111,0.111,0.115,0.125,0.138,0.151,0.159,0.161,0.16,0.158,0.157,0.154,0.147,0.138,0.128,0.119,0.112,0.106,0.104,0.105,0.108,0.112,0.115,0.115,0.115,0.113,0.109,0.102,0.095,0.089,0.088,0.09,0.094,0.101,0.111,0.123,0.133,0.134,0.127,0.115,0.105,0.097,0.093,0.092,0.091,0.092,0.094,0.095,0.093,0.083,0.069,0.052,0.037,0.028,0.025,0.024,0.025,0.026,0.025,0.023,0.02,0.016,0.011,0.007,0.005,0.003,0.003,0.004,0.007,0.011,0.015,0.021,0.028,0.034,0.039,0.039,0.036,0.03,0.024,0.018,0.012,0.007,0.004,0.002,0.002]