[0.022,0.023,0.026,0.032,0.04,0.047,0.051,0.051,0.047,0.041,0.035,0.029,0.025,0.021,0.019,0.019,0.018,0.016,0.013,0.009,0.005,0.003,0.002,0.002,0.003,0.005,0.007,0.01,0.013,0.017,0.023,0.03,0.039,0.049,0.059,0.069,0.081,0.094,0.111,0.131,0.152,0.174,0.194,0.213,0.229,0.241,0.247,0.246,0.243,0.243,0.25,0.266,0.286,0.306,0.321,0.328,0.325,0.312,0.291,0.272,0.26,0.26,0.27,0.281,0.283,0.274,0.26,0.248,0.244,0.247,0.255,0.261,0.265,0.268,0.271,0.276,0.281,0.289,0.299,0.31,0.321,0.331,0.343,0.356,0.367,0.369,0.358,0.333,0.302,0.272,0.246,0.224,0.205,0.193,0.189,0.195,0.207,0.221,0.233,0.247,0.263,0.281,0.297,0.307,0.307,0.295,0.271,0.239,0.212,0.201,0.208,0.231,0.263,0.296,0.325,0.347,0.364,0.375,0.381,0.382,0.375,0.362,0.344,0.326,0.312,0.302,0.297,0.296,0.298,0.303,0.31,0.316,0.319,0.323,0.331,0.348,0.375,0.411,0.451,0.49,0.519,0.532,0.529,0.516,0.504,0.501,0.509,0.522,0.532,0.535,0.528,0.514,0.498,0.483,0.47,0.463,0.464,0.481,0.511,0.545,0.561,0.548,0.507,0.452,0.399,0.355,0.324,0.306,0.302,0.309,0.323,0.335,0.338,0.331,0.322,0.321,0.334,0.358,0.391,0.427,0.46,0.484,0.493,0.489,0.479,0.469,0.458,0.446,0.437,0.439,0.454,0.477,0.496,0.501,0.486,0.45,0.403,0.358,0.328,0.315,0.315,0.317,0.314,0.306,0.298,0.292,0.288,0.279,0.263,0.244,0.232,0.23,0.239,0.25,0.255,0.253,0.246,0.238,0.232,0.228,0.226,0.224,0.225,0.227,0.228,0.223,0.211,0.191,0.166,0.138,0.111,0.087,0.068,0.054,0.044,0.036,0.029,0.024,0.019,0.015,0.014,0.018,0.031,0.059,0.102,0.156,0.213,0.264,0.305,0.331,0.345,0.35,0.349,0.343,0.333,0.32,0.308,0.298,0.29,0.28,0.268,0.258,0.258,0.271,0.292,0.315,0.334,0.348,0.358,0.365,0.37,0.371,0.371,0.369,0.365,0.36,0.357,0.362,0.382,0.416,0.455,0.485,0.496,0.491,0.477,0.465,0.463,0.469,0.481,0.497,0.51,0.514,0.498,0.459,0.405,0.349,0.304,0.276,0.264,0.263,0.268,0.272,0.272,0.27,0.269,0.271,0.279,0.288,0.292,0.286,0.272,0.257,0.249,0.254,0.266,0.276,0.279,0.275,0.269,0.262,0.25,0.229,0.199,0.167,0.144,0.136,0.144,0.174,0.225,0.297,0.377,0.448,0.496,0.519,0.528,0.538,0.559,0.59,0.621,0.637,0.637,0.627,0.618,0.615,0.619,0.626,0.636,0.646,0.656,0.665,0.673,0.681,0.689,0.69,0.679,0.65,0.608,0.561,0.525,0.504,0.5,0.501,0.499,0.485,0.459,0.424,0.388,0.362,0.351,0.355,0.37,0.388,0.399,0.398,0.382,0.357,0.329,0.303,0.284,0.27,0.265,0.266,0.271,0.278,0.285,0.294,0.308,0.321,0.329,0.328,0.324,0.32,0.321,0.323,0.319,0.307,0.285,0.263,0.248,0.245,0.253,0.267,0.283,0.298,0.313,0.327,0.339,0.349,0.357,0.361,0.356,0.343,0.324,0.304,0.286,0.272,0.262,0.26,0.262,0.266,0.264,0.254,0.239,0.225,0.216,0.211,0.203,0.187,0.161,0.131,0.104,0.082,0.065,0.053,0.042,0.033,0.026,0.022,0.021,0.026,0.037,0.057,0.088,0.127,0.171,0.213,0.245,0.266,0.278,0.283,0.287,0.292,0.297,0.305,0.316,0.332,0.346,0.353,0.347,0.328,0.301,0.275,0.261,0.263,0.279,0.302,0.321,0.336,0.351,0.372,0.397,0.421,0.442,0.458,0.47,0.477,0.482,0.485,0.49,0.494,0.493,0.484,0.467,0.447,0.428,0.422,0.432,0.449,0.455,0.435,0.389,0.331,0.28,0.247,0.234,0.238,0.255,0.285,0.324,0.367,0.41,0.447,0.474,0.487,0.481,0.453,0.402,0.336,0.269,0.217,0.191,0.197,0.227,0.27,0.312,0.343,0.354,0.344,0.317,0.285,0.259,0.243,0.235,0.231,0.226,0.222,0.225,0.238,0.261,0.287,0.313,0.338,0.362,0.383,0.397,0.399,0.39,0.376,0.366,0.363,0.37,0.379,0.382,0.378,0.37,0.365,0.366,0.37,0.373,0.374,0.374,0.376,0.376,0.366,0.341,0.304,0.266,0.238,0.225,0.224,0.231,0.242,0.249,0.248,0.236,0.215,0.185,0.15,0.115,0.084,0.06,0.044,0.035,0.033,0.036,0.048,0.071,0.106,0.151,0.197,0.237,0.263,0.278,0.285,0.291,0.299,0.308,0.315,0.314,0.3,0.275,0.244,0.221,0.212,0.219,0.239,0.265,0.294,0.326,0.36,0.39,0.412,0.423,0.424,0.422,0.421,0.426,0.436,0.447,0.456,0.462,0.467,0.473,0.478,0.481,0.485,0.499,0.53,0.584,0.656,0.736,0.804,0.841,0.833,0.779,0.691,0.59,0.494,0.417,0.364,0.338,0.332,0.34,0.355,0.367,0.372,0.369,0.362,0.36,0.364,0.369,0.366,0.35,0.325,0.297,0.278,0.272,0.281,0.297,0.313,0.319,0.313,0.298,0.28,0.265,0.255,0.247,0.236,0.219,0.197,0.175,0.162,0.163,0.181,0.208,0.239,0.27,0.298,0.322,0.337,0.339,0.331,0.319,0.311,0.309,0.312,0.313,0.31,0.305,0.296,0.285,0.271,0.258,0.25,0.248,0.248,0.245,0.232,0.213,0.194,0.18,0.174,0.177,0.185,0.193,0.196,0.193,0.186,0.18,0.177,0.178,0.184,0.192,0.201,0.208,0.213,0.213,0.209,0.204,0.198,0.193,0.191,0.192,0.196,0.202,0.207,0.206,0.199,0.187,0.175,0.166,0.162,0.163,0.168,0.173,0.173,0.164,0.147,0.125,0.103,0.084,0.074,0.072,0.077,0.081,0.08,0.073,0.061,0.049,0.04,0.033,0.03,0.031,0.04,0.061,0.092,0.132,0.175,0.219,0.263,0.304,0.338,0.366,0.389,0.417,0.451,0.489,0.521,0.537,0.53,0.496,0.441,0.378,0.325,0.3,0.306,0.336,0.372,0.4,0.413,0.414,0.407,0.401,0.397,0.399,0.406,0.415,0.422,0.423,0.421,0.418,0.419,0.425,0.433,0.443,0.451,0.459,0.468,0.478,0.484,0.483,0.469,0.445,0.417,0.392,0.374,0.36,0.345,0.328,0.313,0.311,0.325,0.351,0.379,0.4,0.407,0.403,0.393,0.382,0.371,0.357,0.337,0.308,0.272,0.233,0.196,0.16,0.128,0.1,0.078,0.061,0.053,0.058,0.09,0.161,0.277,0.423,0.573,0.697,0.771,0.788,0.755,0.686,0.601,0.521,0.467,0.442,0.44,0.448,0.456,0.464,0.478,0.501,0.529,0.555,0.567,0.563,0.546,0.531,0.524,0.532,0.549,0.573,0.595,0.609,0.611,0.601,0.586,0.575,0.576,0.583,0.589,0.585,0.575,0.562,0.546,0.517,0.472,0.417,0.372,0.353,0.36,0.379,0.393,0.391,0.37,0.335,0.291,0.245,0.2,0.16,0.127,0.099,0.079,0.067,0.068,0.089,0.132,0.193,0.264,0.331,0.385,0.43,0.474,0.526,0.585,0.641,0.676,0.676,0.636,0.565,0.48,0.404,0.352,0.327,0.323,0.33,0.34,0.351,0.361,0.369,0.375,0.379,0.383,0.386,0.385,0.379,0.369,0.355,0.343,0.336,0.337,0.347,0.361,0.376,0.387,0.392,0.389,0.38,0.368,0.36,0.356,0.357,0.36,0.36,0.357,0.35,0.34,0.327,0.313,0.304,0.303,0.309,0.317,0.322,0.318,0.309,0.297,0.287,0.279,0.277,0.279,0.287,0.3,0.318,0.337,0.354,0.365,0.369,0.364,0.352,0.333,0.308,0.279,0.249,0.215,0.178,0.145,0.124,0.129,0.168,0.242,0.334,0.421,0.487,0.525,0.54,0.538,0.524,0.508,0.498,0.501,0.514,0.532,0.55,0.566,0.578,0.581,0.571,0.554,0.535,0.528,0.538,0.563,0.595,0.619,0.623,0.601,0.563,0.525,0.5,0.488,0.475,0.451,0.415,0.377,0.351,0.341,0.346,0.36,0.376,0.391,0.4,0.405,0.406,0.406,0.405,0.401,0.397,0.392,0.385,0.373,0.356,0.335,0.315,0.299,0.286,0.274,0.262,0.249,0.234,0.216,0.196,0.173,0.147,0.121,0.099,0.087,0.09,0.106,0.128,0.15,0.166,0.176,0.184,0.19,0.194,0.196,0.197,0.199,0.2,0.202,0.203,0.204,0.206,0.205,0.2,0.19,0.179,0.169,0.165,0.163,0.162,0.158,0.155,0.154,0.158,0.165,0.169,0.166,0.158,0.146,0.137,0.13,0.123,0.116,0.105,0.091,0.075,0.06,0.048,0.038,0.03,0.022,0.016,0.012,0.01,0.008,0.007,0.006,0.006,0.007,0.011,0.019,0.031,0.049,0.073,0.107,0.147,0.188,0.224,0.251,0.271,0.285,0.295,0.297,0.292,0.284,0.28,0.286,0.302,0.322,0.339,0.348,0.347,0.335,0.312,0.287,0.268,0.264,0.274,0.292,0.309,0.319,0.322,0.321,0.322,0.33,0.347,0.368,0.385,0.39,0.385,0.379,0.379,0.388,0.403,0.421,0.439,0.452,0.454,0.442,0.419,0.389,0.357,0.321,0.282,0.239,0.198,0.164,0.146,0.15,0.177,0.226,0.288,0.348,0.394,0.415,0.416,0.406,0.391,0.372,0.341,0.292,0.233,0.178,0.143,0.134,0.153,0.191,0.236,0.275,0.298,0.308,0.313,0.321,0.331,0.342,0.35,0.356,0.359,0.357,0.348,0.335,0.32,0.309,0.307,0.312,0.319,0.323,0.326,0.331,0.34,0.35,0.358,0.361,0.357,0.348,0.338,0.327,0.317,0.307,0.297,0.291,0.292,0.302,0.319,0.336,0.348,0.355,0.36,0.365,0.373,0.381,0.388,0.389,0.385,0.374,0.361,0.348,0.334,0.32,0.306,0.296,0.29,0.291,0.297,0.307,0.321,0.34,0.361,0.382,0.395,0.398,0.393,0.388,0.383,0.376,0.364,0.351,0.341,0.336,0.332,0.323,0.307,0.287,0.266,0.246,0.232,0.225,0.227,0.236,0.251,0.268,0.284,0.3,0.312,0.32,0.324,0.325,0.324,0.318,0.307,0.293,0.282,0.281,0.288,0.301,0.314,0.322,0.325,0.324,0.319,0.311,0.3,0.283,0.266,0.254,0.248,0.245,0.24,0.227,0.208,0.184,0.158,0.129,0.101,0.075,0.056,0.041,0.031,0.024,0.019,0.016,0.015,0.014,0.012,0.011,0.012,0.019,0.035,0.063,0.1,0.143,0.188,0.232,0.274,0.309,0.331,0.335,0.322,0.302,0.286,0.284,0.297,0.319,0.342,0.356,0.354,0.337,0.315,0.299,0.293,0.294,0.298,0.303,0.31,0.32,0.334,0.35,0.367,0.383,0.396,0.404,0.401,0.386,0.363,0.336,0.314,0.3,0.295,0.298,0.304,0.31,0.316,0.324,0.336,0.351,0.367,0.38,0.384,0.374,0.346,0.307,0.27,0.246,0.238,0.238,0.241,0.245,0.251,0.259,0.268,0.274,0.275,0.272,0.269,0.264,0.255,0.242,0.226,0.215,0.218,0.234,0.259,0.279,0.285,0.269,0.238,0.2,0.167,0.144,0.129,0.118,0.113,0.119,0.143,0.185,0.237,0.285,0.317,0.332,0.336,0.335,0.331,0.324,0.315,0.31,0.312,0.323,0.34,0.36,0.38,0.4,0.417,0.43,0.439,0.447,0.455,0.461,0.465,0.468,0.47,0.469,0.466,0.458,0.45,0.445,0.443,0.444,0.442,0.435,0.423,0.409,0.395,0.383,0.371,0.362,0.358,0.363,0.375,0.393,0.407,0.411,0.399,0.372,0.336,0.302,0.279,0.277,0.297,0.332,0.373,0.406,0.424,0.422,0.405,0.38,0.355,0.336,0.321,0.308,0.295,0.279,0.264,0.253,0.249,0.254,0.269,0.288,0.305,0.319,0.329,0.338,0.347,0.353,0.352,0.343,0.329,0.316,0.309,0.312,0.32,0.325,0.322,0.312,0.304,0.304,0.31,0.317,0.32,0.317,0.31,0.303,0.294,0.28,0.258,0.228,0.192,0.155,0.121,0.091,0.068,0.052,0.041,0.035,0.03,0.026,0.021,0.016,0.015,0.019,0.033,0.061,0.105,0.16,0.216,0.262,0.291,0.304,0.305,0.299,0.288,0.276,0.271,0.275,0.288,0.3,0.304,0.297,0.28,0.26,0.244,0.237,0.242,0.254,0.267,0.276,0.279,0.278,0.275,0.275,0.278,0.287,0.299,0.309,0.317,0.318,0.315,0.309,0.303,0.299,0.295,0.291,0.286,0.283,0.283,0.282,0.276,0.262,0.242,0.219,0.196,0.179,0.17,0.173,0.189,0.214,0.245,0.281,0.316,0.345,0.364,0.37,0.359,0.333,0.293,0.248,0.206,0.178,0.172,0.193,0.236,0.291,0.343,0.385,0.414,0.433,0.445,0.448,0.443,0.434,0.425,0.416,0.397,0.364,0.321,0.281,0.254,0.25,0.263,0.287,0.312,0.33,0.343,0.352,0.362,0.374,0.387,0.4,0.408,0.408,0.397,0.38,0.365,0.356,0.353,0.354,0.355,0.355,0.355,0.355,0.356,0.358,0.364,0.376,0.389,0.394,0.382,0.355,0.321,0.291,0.271,0.264,0.263,0.261,0.248,0.221,0.185,0.146,0.114,0.091,0.076,0.066,0.058,0.051,0.049,0.055,0.075,0.109,0.153,0.199,0.24,0.271,0.291,0.301,0.302,0.296,0.287,0.278,0.271,0.261,0.249,0.235,0.229,0.234,0.251,0.276,0.302,0.324,0.342,0.356,0.369,0.382,0.399,0.418,0.436,0.45,0.454,0.448,0.433,0.413,0.393,0.378,0.369,0.364,0.36,0.357,0.356,0.357,0.365,0.381,0.406,0.434,0.453,0.454,0.432,0.394,0.354,0.325,0.313,0.314,0.321,0.326,0.329,0.332,0.34,0.352,0.366,0.378,0.382,0.379,0.367,0.348,0.324,0.301,0.288,0.288,0.296,0.304,0.308,0.305,0.296,0.28,0.258,0.232,0.206,0.182,0.163,0.146,0.132,0.124,0.131,0.158,0.204,0.258,0.306,0.337,0.352,0.359,0.364,0.373,0.383,0.388,0.387,0.381,0.374,0.368,0.366,0.369,0.374,0.382,0.39,0.399,0.404,0.398,0.377,0.343,0.305,0.273,0.253,0.245,0.244,0.245,0.244,0.237,0.225,0.208,0.193,0.181,0.175,0.173,0.175,0.181,0.185,0.186,0.183,0.179,0.179,0.182,0.184,0.184,0.18,0.176,0.175,0.176,0.178,0.178,0.178,0.174,0.166,0.153,0.138,0.125,0.117,0.113,0.11,0.106,0.099,0.09,0.078,0.067,0.057,0.049,0.043,0.038,0.033,0.03,0.028,0.028,0.03,0.034,0.041,0.054,0.076,0.108,0.152,0.203,0.256,0.304,0.342,0.371,0.392,0.41,0.429,0.448,0.461,0.46,0.438,0.396,0.34,0.286,0.252,0.248,0.272,0.313,0.355,0.389,0.415,0.434,0.451,0.467,0.485,0.507,0.531,0.551,0.558,0.546,0.52,0.487,0.459,0.441,0.433,0.437,0.455,0.483,0.517,0.547,0.568,0.579,0.582,0.577,0.562,0.534,0.493,0.438,0.38,0.334,0.314,0.321,0.35,0.385,0.414,0.431,0.432,0.422,0.407,0.395,0.387,0.379,0.363,0.334,0.29,0.238,0.186,0.141,0.108,0.084,0.067,0.058,0.063,0.091,0.15,0.239,0.345,0.45,0.54,0.608,0.651,0.665,0.646,0.591,0.519,0.454,0.418,0.415,0.434,0.46,0.488,0.516,0.541,0.561,0.574,0.583,0.591,0.601,0.61,0.615,0.614,0.603,0.583,0.556,0.525,0.497,0.474,0.458,0.447,0.443,0.442,0.442,0.438,0.428,0.411,0.387,0.359,0.333,0.314,0.31,0.32,0.337,0.352,0.358,0.351,0.328,0.29,0.245,0.2,0.159,0.125,0.098,0.078,0.066,0.068,0.089,0.132,0.192,0.256,0.309,0.346,0.367,0.382,0.396,0.413,0.428,0.435,0.428,0.408,0.377,0.344,0.314,0.297,0.299,0.319,0.349,0.379,0.405,0.424,0.437,0.439,0.433,0.42,0.407,0.394,0.378,0.356,0.33,0.307,0.296,0.303,0.328,0.363,0.398,0.424,0.435,0.43,0.413,0.393,0.376,0.364,0.358,0.356,0.356,0.356,0.35,0.337,0.321,0.306,0.297,0.291,0.286,0.279,0.271,0.263,0.255,0.249,0.245,0.241,0.237,0.232,0.231,0.237,0.251,0.272,0.295,0.316,0.333,0.346,0.355,0.359,0.359,0.352,0.338,0.317,0.291,0.258,0.223,0.196,0.187,0.204,0.244,0.3,0.362,0.422,0.479,0.532,0.582,0.627,0.66,0.673,0.661,0.626,0.58,0.539,0.52,0.527,0.548,0.563,0.557,0.531,0.498,0.472,0.46,0.455,0.451,0.442,0.428,0.414,0.406,0.404,0.401,0.39,0.371,0.354,0.35,0.362,0.382,0.396,0.403,0.409,0.423,0.444,0.464,0.477,0.482,0.479,0.468,0.45,0.434,0.428,0.432,0.436,0.425,0.392,0.342,0.288,0.241,0.21,0.192,0.183,0.178,0.172,0.164,0.152,0.138,0.121,0.108,0.103,0.108,0.123,0.145,0.17,0.19,0.2,0.198,0.19,0.187,0.196,0.213,0.229,0.234,0.231,0.226,0.223,0.225,0.227,0.226,0.22,0.21,0.199,0.191,0.186,0.182,0.175,0.163,0.152,0.143,0.139,0.139,0.14,0.142,0.143,0.141,0.134,0.124,0.11,0.093,0.074,0.056,0.041,0.03,0.023,0.018,0.015,0.013,0.013,0.015,0.019,0.025,0.033,0.046,0.07,0.107,0.157,0.217,0.277,0.329,0.365,0.384,0.396,0.41,0.429,0.448,0.454,0.439,0.404,0.362,0.324,0.302,0.303,0.329,0.37,0.416,0.455,0.48,0.49,0.489,0.481,0.473,0.466,0.459,0.454,0.452,0.457,0.465,0.472,0.478,0.486,0.497,0.511,0.521,0.526,0.528,0.528,0.521,0.506,0.486,0.468,0.452,0.433,0.405,0.375,0.354,0.352,0.37,0.399,0.428,0.446,0.452,0.448,0.438,0.427,0.417,0.407,0.396,0.379,0.351,0.313,0.268,0.22,0.175,0.136,0.106,0.084,0.069,0.064,0.078,0.119,0.193,0.293,0.404,0.502,0.574,0.613,0.619,0.593,0.548,0.501,0.478,0.491,0.536,0.591,0.633,0.649,0.641,0.623,0.61,0.61,0.624,0.643,0.66,0.667,0.656,0.628,0.59,0.552,0.523,0.506,0.5,0.502,0.507,0.512,0.515,0.516,0.514,0.509,0.496,0.471,0.435,0.394,0.359,0.337,0.333,0.34,0.353,0.363,0.362,0.348,0.319,0.28,0.233,0.185,0.142,0.107,0.081,0.065,0.058,0.064,0.088,0.134,0.198,0.272,0.345,0.411,0.464,0.497,0.504,0.486,0.455,0.422,0.397,0.377,0.356,0.33,0.305,0.287,0.284,0.296,0.319,0.345,0.374,0.402,0.43,0.455,0.474,0.487,0.495,0.497,0.493,0.479,0.454,0.42,0.39,0.375,0.382,0.405,0.432,0.453,0.467,0.476,0.482,0.487,0.487,0.481,0.472,0.463,0.458,0.453,0.444,0.423,0.393,0.361,0.334,0.315,0.3,0.285,0.27,0.259,0.254,0.254,0.258,0.264,0.272,0.278,0.282,0.285,0.291,0.307,0.334,0.368,0.398,0.418,0.424,0.418,0.402,0.378,0.347,0.31,0.269,0.229,0.195,0.176,0.178,0.201,0.237,0.279,0.316,0.347,0.37,0.388,0.402,0.413,0.42,0.422,0.423,0.429,0.44,0.457,0.471,0.477,0.468,0.449,0.427,0.409,0.402,0.403,0.41,0.416,0.416,0.407,0.392,0.374,0.36,0.355,0.356,0.359,0.358,0.349,0.334,0.315,0.298,0.283,0.272,0.264,0.261,0.266,0.278,0.294,0.307,0.315,0.318,0.322,0.327,0.33,0.327,0.318,0.305,0.295,0.287,0.282,0.277,0.269,0.257,0.241,0.221,0.195,0.167,0.139,0.114,0.094,0.08,0.075,0.079,0.09,0.105,0.121,0.134,0.141,0.143,0.142,0.141,0.14,0.138,0.138,0.142,0.151,0.165,0.178,0.189,0.196,0.198,0.195,0.188,0.178,0.17,0.167,0.169,0.173,0.174,0.168,0.159,0.152,0.153,0.161,0.171,0.177,0.174,0.164,0.151,0.142,0.135,0.129,0.117,0.099,0.079,0.062,0.049,0.041,0.035,0.029,0.024,0.019,0.014,0.011,0.009,0.007,0.005,0.004,0.002,0.002,0.001]