[0.01,0.01,0.009,0.009,0.012,0.026,0.053,0.09,0.13,0.163,0.185,0.199,0.213,0.228,0.237,0.234,0.218,0.202,0.202,0.222,0.254,0.284,0.302,0.306,0.299,0.283,0.26,0.231,0.2,0.173,0.153,0.143,0.141,0.145,0.152,0.162,0.171,0.177,0.175,0.166,0.151,0.136,0.124,0.119,0.12,0.123,0.125,0.124,0.119,0.112,0.105,0.103,0.108,0.122,0.142,0.16,0.172,0.18,0.189,0.199,0.206,0.201,0.186,0.169,0.163,0.173,0.195,0.215,0.222,0.215,0.203,0.191,0.184,0.179,0.179,0.186,0.199,0.216,0.231,0.239,0.241,0.238,0.227,0.21,0.188,0.165,0.148,0.137,0.133,0.132,0.132,0.131,0.131,0.134,0.139,0.144,0.146,0.144,0.142,0.147,0.164,0.189,0.216,0.232,0.233,0.219,0.204,0.201,0.216,0.241,0.261,0.264,0.254,0.247,0.256,0.279,0.303,0.312,0.302,0.279,0.255,0.237,0.236,0.252,0.282,0.311,0.33,0.335,0.332,0.325,0.314,0.298,0.277,0.259,0.247,0.243,0.244,0.248,0.256,0.265,0.27,0.265,0.252,0.235,0.216,0.198,0.183,0.169,0.154,0.139,0.126,0.117,0.115,0.117,0.123,0.134,0.152,0.177,0.203,0.222,0.227,0.22,0.206,0.19,0.178,0.17,0.17,0.177,0.189,0.201,0.208,0.208,0.199,0.182,0.16,0.14,0.127,0.125,0.129,0.135,0.143,0.157,0.175,0.19,0.197,0.194,0.185,0.176,0.169,0.163,0.157,0.149,0.14,0.132,0.133,0.146,0.174,0.206,0.233,0.245,0.243,0.233,0.224,0.22,0.221,0.221,0.214,0.2,0.181,0.163,0.152,0.147,0.146,0.144,0.141,0.136,0.134,0.135,0.14,0.145,0.147,0.146,0.142,0.139,0.139,0.143,0.152,0.162,0.169,0.171,0.166,0.154,0.138,0.121,0.108,0.103,0.105,0.115,0.13,0.147,0.161,0.172,0.179,0.184,0.185,0.181,0.169,0.153,0.135,0.119,0.109,0.106,0.115,0.135,0.159,0.18,0.19,0.188,0.177,0.16,0.142,0.128,0.119,0.115,0.112,0.11,0.108,0.107,0.108,0.11,0.111,0.11,0.11,0.114,0.127,0.148,0.172,0.19,0.199,0.197,0.192,0.188,0.189,0.194,0.2,0.2,0.195,0.186,0.175,0.166,0.16,0.156,0.151,0.146,0.14,0.136,0.138,0.151,0.184,0.243,0.319,0.389,0.426,0.419,0.379,0.338,0.316,0.318,0.332,0.351,0.373,0.398,0.417,0.422,0.408,0.383,0.355,0.327,0.296,0.264,0.239,0.229,0.233,0.244,0.257,0.269,0.281,0.292,0.293,0.28,0.255,0.227,0.208,0.202,0.208,0.22,0.233,0.249,0.267,0.284,0.296,0.302,0.301,0.294,0.283,0.273,0.272,0.285,0.305,0.317,0.307,0.274,0.232,0.2,0.188,0.191,0.198,0.2,0.199,0.199,0.2,0.199,0.197,0.197,0.202,0.213,0.233,0.266,0.315,0.368,0.408,0.422,0.41,0.381,0.344,0.307,0.27,0.236,0.207,0.188,0.179,0.181,0.193,0.214,0.24,0.259,0.261,0.244,0.217,0.193,0.179,0.174,0.173,0.175,0.181,0.197,0.224,0.265,0.317,0.368,0.406,0.421,0.41,0.377,0.333,0.287,0.248,0.225,0.22,0.231,0.247,0.26,0.26,0.247,0.228,0.211,0.202,0.2,0.203,0.209,0.215,0.218,0.218,0.222,0.24,0.278,0.329,0.377,0.403,0.401,0.381,0.356,0.334,0.311,0.284,0.251,0.219,0.192,0.172,0.166,0.181,0.218,0.263,0.287,0.274,0.229,0.18,0.15,0.147,0.164,0.189,0.21,0.222,0.225,0.229,0.247,0.283,0.327,0.36,0.369,0.358,0.338,0.316,0.295,0.276,0.255,0.232,0.208,0.19,0.19,0.207,0.232,0.249,0.249,0.238,0.228,0.231,0.245,0.264,0.276,0.275,0.265,0.264,0.286,0.335,0.39,0.428,0.434,0.415,0.384,0.352,0.322,0.293,0.265,0.237,0.21,0.183,0.161,0.15,0.153,0.166,0.179,0.185,0.18,0.169,0.161,0.159,0.163,0.166,0.166,0.163,0.158,0.15,0.14,0.126,0.109,0.092,0.074,0.058,0.042,0.029,0.019,0.012,0.009,0.007,0.007,0.007,0.009,0.013,0.021,0.03,0.041,0.059,0.088,0.133,0.188,0.24,0.276,0.294,0.301,0.315,0.347,0.393,0.433,0.448,0.429,0.384,0.33,0.283,0.254,0.245,0.254,0.273,0.296,0.321,0.351,0.387,0.421,0.448,0.463,0.468,0.461,0.439,0.399,0.35,0.31,0.295,0.31,0.35,0.4,0.446,0.474,0.476,0.451,0.411,0.367,0.33,0.304,0.287,0.28,0.277,0.279,0.284,0.301,0.334,0.379,0.42,0.443,0.44,0.421,0.396,0.373,0.355,0.341,0.33,0.322,0.315,0.315,0.328,0.356,0.391,0.415,0.412,0.387,0.354,0.328,0.313,0.304,0.294,0.285,0.281,0.287,0.31,0.348,0.394,0.426,0.427,0.394,0.345,0.3,0.271,0.254,0.246,0.247,0.264,0.301,0.358,0.421,0.475,0.504,0.499,0.467,0.423,0.38,0.346,0.323,0.309,0.302,0.302,0.305,0.312,0.329,0.358,0.392,0.413,0.412,0.392,0.371,0.358,0.355,0.355,0.354,0.354,0.36,0.374,0.398,0.432,0.471,0.498,0.5,0.469,0.416,0.356,0.302,0.262,0.24,0.231,0.23,0.234,0.246,0.274,0.322,0.377,0.418,0.428,0.408,0.375,0.35,0.349,0.374,0.416,0.454,0.47,0.46,0.439,0.428,0.436,0.45,0.452,0.428,0.385,0.336,0.296,0.272,0.265,0.268,0.274,0.282,0.297,0.328,0.374,0.422,0.45,0.446,0.415,0.376,0.35,0.341,0.345,0.351,0.351,0.347,0.348,0.362,0.392,0.431,0.461,0.466,0.444,0.414,0.396,0.406,0.438,0.473,0.492,0.489,0.474,0.464,0.469,0.486,0.498,0.491,0.46,0.418,0.387,0.386,0.416,0.461,0.494,0.5,0.48,0.45,0.432,0.435,0.46,0.49,0.51,0.514,0.509,0.506,0.513,0.526,0.534,0.53,0.515,0.497,0.489,0.495,0.51,0.522,0.517,0.493,0.463,0.439,0.437,0.454,0.479,0.493,0.484,0.456,0.427,0.419,0.436,0.47,0.501,0.511,0.5,0.477,0.452,0.43,0.409,0.388,0.36,0.327,0.288,0.253,0.237,0.253,0.303,0.37,0.431,0.47,0.486,0.487,0.479,0.466,0.447,0.417,0.377,0.334,0.299,0.28,0.277,0.282,0.285,0.283,0.28,0.284,0.298,0.317,0.335,0.349,0.358,0.366,0.376,0.392,0.413,0.438,0.457,0.464,0.452,0.421,0.381,0.344,0.324,0.325,0.341,0.361,0.382,0.41,0.446,0.484,0.511,0.519,0.51,0.494,0.475,0.452,0.419,0.376,0.329,0.287,0.26,0.251,0.259,0.277,0.296,0.306,0.301,0.283,0.257,0.226,0.195,0.166,0.142,0.124,0.111,0.102,0.101,0.117,0.153,0.203,0.25,0.277,0.278,0.26,0.236,0.218,0.207,0.196,0.179,0.158,0.15,0.174,0.233,0.311,0.376,0.406,0.397,0.368,0.34,0.329,0.332,0.333,0.321,0.297,0.284,0.301,0.349,0.406,0.447,0.455,0.438,0.408,0.38,0.357,0.339,0.323,0.311,0.302,0.3,0.31,0.337,0.378,0.42,0.448,0.454,0.437,0.406,0.376,0.356,0.355,0.373,0.408,0.447,0.473,0.472,0.444,0.404,0.371,0.354,0.353,0.364,0.385,0.415,0.442,0.451,0.43,0.387,0.344,0.326,0.338,0.369,0.397,0.405,0.391,0.368,0.348,0.338,0.336,0.335,0.334,0.333,0.334,0.346,0.373,0.415,0.457,0.485,0.489,0.477,0.458,0.443,0.433,0.426,0.421,0.416,0.411,0.409,0.413,0.424,0.436,0.443,0.439,0.427,0.413,0.403,0.401,0.409,0.43,0.462,0.496,0.512,0.492,0.433,0.35,0.273,0.229,0.228,0.266,0.328,0.394,0.446,0.469,0.46,0.426,0.387,0.362,0.359,0.375,0.395,0.404,0.397,0.378,0.359,0.347,0.342,0.34,0.339,0.336,0.334,0.336,0.35,0.38,0.422,0.456,0.468,0.454,0.427,0.399,0.38,0.366,0.354,0.339,0.32,0.302,0.296,0.311,0.348,0.395,0.433,0.448,0.44,0.423,0.406,0.393,0.382,0.377,0.382,0.401,0.421,0.424,0.398,0.354,0.31,0.286,0.288,0.311,0.345,0.381,0.412,0.427,0.428,0.42,0.415,0.418,0.427,0.435,0.437,0.431,0.419,0.409,0.409,0.42,0.439,0.456,0.466,0.47,0.477,0.486,0.499,0.511,0.519,0.517,0.501,0.473,0.441,0.415,0.399,0.392,0.387,0.381,0.372,0.366,0.37,0.386,0.413,0.435,0.437,0.412,0.366,0.315,0.274,0.245,0.226,0.214,0.212,0.221,0.24,0.265,0.287,0.301,0.305,0.303,0.298,0.293,0.29,0.287,0.28,0.269,0.256,0.245,0.237,0.231,0.227,0.222,0.216,0.21,0.204,0.2,0.195,0.189,0.181,0.172,0.162,0.152,0.141,0.13,0.119,0.109,0.099,0.088,0.075,0.06,0.045,0.033,0.025,0.023,0.024,0.026,0.026,0.025,0.029,0.042,0.065,0.093,0.116,0.129,0.13,0.124,0.117,0.112,0.111,0.112,0.115,0.125,0.153,0.202,0.263,0.314,0.335,0.318,0.275,0.222,0.177,0.149,0.138,0.138,0.143,0.149,0.16,0.186,0.229,0.277,0.304,0.293,0.249,0.194,0.149,0.123,0.114,0.117,0.123,0.131,0.142,0.164,0.201,0.248,0.283,0.29,0.265,0.222,0.181,0.156,0.151,0.16,0.173,0.183,0.188,0.192,0.21,0.247,0.298,0.337,0.345,0.313,0.261,0.212,0.181,0.17,0.171,0.179,0.192,0.212,0.242,0.28,0.324,0.36,0.379,0.378,0.361,0.337,0.311,0.29,0.278,0.278,0.284,0.291,0.299,0.31,0.325,0.336,0.326,0.29,0.236,0.186,0.157,0.156,0.175,0.205,0.233,0.255,0.27,0.289,0.318,0.354,0.383,0.394,0.384,0.362,0.335,0.308,0.283,0.264,0.252,0.249,0.252,0.261,0.278,0.301,0.315,0.307,0.272,0.227,0.192,0.177,0.181,0.193,0.207,0.22,0.232,0.242,0.257,0.282,0.312,0.331,0.323,0.286,0.238,0.195,0.167,0.151,0.145,0.144,0.143,0.142,0.15,0.176,0.221,0.264,0.283,0.268,0.235,0.205,0.192,0.192,0.196,0.196,0.191,0.184,0.182,0.198,0.236,0.286,0.321,0.324,0.293,0.247,0.205,0.175,0.158,0.152,0.157,0.171,0.19,0.213,0.242,0.278,0.305,0.307,0.273,0.214,0.153,0.111,0.093,0.095,0.107,0.121,0.134,0.151,0.184,0.239,0.307,0.365,0.397,0.399,0.383,0.363,0.349,0.34,0.334,0.33,0.328,0.331,0.342,0.363,0.389,0.406,0.409,0.395,0.375,0.354,0.339,0.328,0.32,0.314,0.309,0.306,0.311,0.326,0.351,0.377,0.391,0.388,0.371,0.351,0.336,0.327,0.324,0.328,0.336,0.342,0.34,0.333,0.325,0.319,0.315,0.31,0.304,0.301,0.299,0.295,0.286,0.273,0.261,0.255,0.257,0.262,0.268,0.272,0.272,0.27,0.265,0.261,0.257,0.254,0.251,0.247,0.242,0.237,0.232,0.226,0.219,0.21,0.201,0.193,0.185,0.179,0.173,0.167,0.159,0.151,0.141,0.132,0.125,0.12,0.116,0.113,0.11,0.106,0.102,0.097,0.092,0.087,0.083,0.081,0.079,0.078,0.077,0.076,0.074,0.072,0.071,0.071,0.074,0.079,0.086,0.096,0.117,0.155,0.215,0.291,0.368,0.43,0.472,0.497,0.511,0.517,0.518,0.513,0.503,0.492,0.482,0.474,0.463,0.442,0.403,0.343,0.274,0.217,0.197,0.218,0.268,0.323,0.361,0.378,0.379,0.372,0.362,0.355,0.351,0.349,0.346,0.336,0.314,0.282,0.246,0.22,0.211,0.221,0.244,0.271,0.295,0.31,0.313,0.303,0.283,0.26,0.242,0.23,0.221,0.211,0.201,0.197,0.208,0.232,0.257,0.267,0.263,0.257,0.268,0.297,0.33,0.346,0.332,0.293,0.245,0.205,0.181,0.172,0.173,0.178,0.185,0.192,0.2,0.208,0.215,0.222,0.229,0.237,0.243,0.247,0.25,0.252,0.253,0.253,0.254,0.256,0.257,0.256,0.251,0.239,0.221,0.2,0.184,0.185,0.211,0.257,0.308,0.35,0.374,0.378,0.366,0.342,0.309,0.273,0.24,0.218,0.214,0.241,0.298,0.374,0.437,0.466,0.453,0.416,0.375,0.344,0.323,0.31,0.304,0.301,0.298,0.292,0.286,0.284,0.294,0.317,0.348,0.372,0.379,0.365,0.341,0.321,0.313,0.317,0.329,0.348,0.37,0.392,0.408,0.411,0.4,0.382,0.375,0.388,0.415,0.428,0.41,0.366,0.323,0.299,0.297,0.305,0.318,0.337,0.361,0.382,0.389,0.38,0.36,0.347,0.352,0.372,0.392,0.398,0.383,0.358,0.339,0.335,0.353,0.392,0.44,0.476,0.485,0.468,0.439,0.411,0.394,0.398,0.424,0.462,0.488,0.485,0.456,0.419,0.393,0.383,0.387,0.4,0.416,0.431,0.438,0.434,0.422,0.41,0.407,0.418,0.436,0.448,0.445,0.423,0.395,0.369,0.354,0.347,0.343,0.341,0.34,0.351,0.376,0.415,0.452,0.48,0.497,0.506,0.497,0.461,0.406,0.354,0.329,0.339,0.375,0.424,0.473,0.504,0.509,0.491,0.464,0.444,0.439,0.448,0.463,0.477,0.483,0.477,0.463,0.447,0.433,0.429,0.438,0.458,0.474,0.47,0.437,0.385,0.336,0.308,0.313,0.351,0.409,0.458,0.477,0.459,0.423,0.387,0.361,0.346,0.337,0.33,0.323,0.314,0.302,0.287,0.275,0.275,0.297,0.339,0.388,0.419,0.417,0.385,0.34,0.3,0.276,0.265,0.26,0.256,0.254,0.257,0.268,0.286,0.31,0.345,0.393,0.446,0.482,0.487,0.46,0.422,0.386,0.357,0.33,0.306,0.288,0.284,0.297,0.329,0.377,0.433,0.486,0.528,0.554,0.559,0.541,0.502,0.45,0.398,0.362,0.361,0.397,0.455,0.499,0.505,0.47,0.414,0.36,0.33,0.332,0.369,0.425,0.475,0.499,0.494,0.472,0.449,0.435,0.43,0.431,0.431,0.427,0.418,0.408,0.401,0.403,0.416,0.437,0.457,0.465,0.456,0.434,0.41,0.391,0.381,0.376,0.37,0.357,0.337,0.319,0.315,0.333,0.373,0.426,0.472,0.489,0.467,0.419,0.374,0.357,0.376,0.423,0.477,0.521,0.539,0.527,0.496,0.465,0.447,0.452,0.474,0.502,0.519,0.518,0.499,0.477,0.465,0.473,0.497,0.528,0.547,0.539,0.501,0.445,0.389,0.356,0.359,0.396,0.447,0.479,0.474,0.433,0.38,0.335,0.307,0.29,0.28,0.273,0.271,0.273,0.28,0.293,0.319,0.359,0.407,0.445,0.459,0.452,0.441,0.435,0.431,0.414,0.38,0.339,0.31,0.304,0.322,0.355,0.397,0.44,0.477,0.49,0.47,0.419,0.36,0.311,0.28,0.261,0.246,0.231,0.219,0.211,0.209,0.215,0.238,0.283,0.345,0.402,0.43,0.422,0.388,0.35,0.322,0.307,0.302,0.301,0.3,0.299,0.301,0.308,0.325,0.355,0.398,0.443,0.47,0.466,0.435,0.396,0.368,0.359,0.363,0.373,0.38,0.384,0.388,0.395,0.41,0.437,0.471,0.501,0.512,0.498,0.467,0.435,0.411,0.4,0.395,0.393,0.391,0.391,0.397,0.412,0.438,0.472,0.498,0.5,0.471,0.422,0.381,0.367,0.378,0.397,0.41,0.411,0.405,0.398,0.394,0.397,0.415,0.45,0.494,0.526,0.534,0.517,0.491,0.47,0.459,0.454,0.448,0.439,0.428,0.416,0.407,0.412,0.434,0.47,0.501,0.509,0.487,0.445,0.402,0.371,0.354,0.348,0.349,0.352,0.356,0.361,0.373,0.4,0.439,0.481,0.504,0.496,0.46,0.415,0.377,0.356,0.351,0.355,0.364,0.371,0.378,0.387,0.408,0.442,0.478,0.496,0.484,0.445,0.397,0.359,0.342,0.349,0.372,0.401,0.421,0.422,0.407,0.392,0.394,0.418,0.452,0.473,0.466,0.436,0.402,0.387,0.4,0.434,0.469,0.494,0.502,0.501,0.496,0.497,0.511,0.536,0.558,0.563,0.548,0.527,0.517,0.522,0.538,0.548,0.547,0.533,0.519,0.517,0.532,0.559,0.587,0.599,0.591,0.567,0.544,0.534,0.541,0.557,0.564,0.555,0.534,0.513,0.504,0.513,0.532,0.552,0.56,0.552,0.536,0.526,0.535,0.561,0.592,0.608,0.6,0.573,0.545,0.533,0.541,0.56,0.573,0.565,0.536,0.497,0.467,0.46,0.48,0.513,0.537,0.54,0.526,0.514,0.521,0.548,0.581,0.601,0.599,0.575,0.541,0.505,0.47,0.435,0.396,0.353,0.304,0.253,0.21,0.189,0.201,0.244,0.303,0.354,0.382,0.386,0.376,0.36,0.343,0.329,0.316,0.303,0.282,0.254,0.227,0.212,0.217,0.235,0.255,0.27,0.28,0.291,0.305,0.32,0.333,0.341,0.342,0.336,0.324,0.312,0.307,0.31,0.317,0.319,0.311,0.293,0.274,0.263,0.268,0.286,0.306,0.321,0.335,0.36,0.403,0.46,0.509,0.535,0.536,0.521,0.5,0.473,0.438,0.398,0.36,0.33,0.308,0.291,0.28,0.281,0.293,0.312,0.324,0.318,0.288,0.235,0.174,0.12,0.081,0.06,0.051,0.054,0.075,0.117,0.178,0.241,0.288,0.308,0.304,0.286,0.27,0.263,0.26,0.251,0.228,0.195,0.172,0.183,0.239,0.327,0.419,0.488,0.525,0.535,0.529,0.52,0.512,0.506,0.497,0.484,0.467,0.459,0.469,0.498,0.529,0.54,0.523,0.487,0.449,0.423,0.408,0.4,0.395,0.393,0.397,0.41,0.43,0.453,0.468,0.468,0.454,0.431,0.412,0.403,0.408,0.427,0.456,0.492,0.531,0.561,0.567,0.538,0.476,0.399,0.333,0.295,0.295,0.326,0.38,0.443,0.499,0.53,0.53,0.507,0.482,0.467,0.462,0.456,0.443,0.426,0.411,0.401,0.394,0.384,0.369,0.354,0.343,0.335,0.329,0.331,0.357,0.415,0.491,0.554,0.582,0.571,0.542,0.51,0.482,0.455,0.427,0.398,0.373,0.352,0.341,0.345,0.364,0.388,0.405,0.406,0.395,0.379,0.366,0.357,0.357,0.371,0.403,0.448,0.488,0.503,0.478,0.419,0.348,0.297,0.288,0.327,0.397,0.473,0.532,0.561,0.558,0.532,0.5,0.48,0.481,0.496,0.51,0.515,0.511,0.506,0.503,0.495,0.476,0.443,0.402,0.362,0.331,0.317,0.329,0.37,0.432,0.488,0.515,0.507,0.479,0.449,0.428,0.414,0.401,0.385,0.368,0.351,0.342,0.35,0.375,0.407,0.428,0.425,0.401,0.368,0.341,0.326,0.319,0.319,0.335,0.372,0.426,0.466,0.466,0.418,0.343,0.273,0.233,0.23,0.262,0.321,0.394,0.462,0.502,0.506,0.482,0.454,0.439,0.439,0.443,0.442,0.43,0.413,0.401,0.404,0.424,0.455,0.479,0.492,0.498,0.507,0.517,0.527,0.537,0.552,0.561,0.553,0.514,0.449,0.371,0.298,0.243,0.21,0.196,0.19,0.184,0.173,0.16,0.149,0.142,0.139,0.137,0.135,0.131,0.125,0.119,0.112,0.103,0.092,0.079,0.066,0.056,0.052,0.056,0.065,0.077,0.086,0.088,0.082,0.072,0.06,0.05,0.04,0.032,0.024,0.018,0.013,0.01,0.008,0.008,0.007,0.007,0.007,0.007,0.007,0.009,0.01,0.011,0.011,0.012,0.018,0.034,0.059,0.092,0.12,0.137,0.138,0.128,0.113,0.098,0.087,0.077,0.07,0.064,0.062,0.062,0.063,0.064,0.063,0.062,0.06,0.057,0.055,0.051,0.048,0.044,0.041,0.04,0.04,0.046,0.061,0.086,0.119,0.15,0.172,0.182,0.183,0.178,0.172,0.166,0.16,0.155,0.151,0.148,0.145,0.142,0.139,0.135,0.131,0.128,0.123,0.119,0.115,0.111,0.107,0.104,0.102,0.1,0.098,0.096,0.094,0.092,0.089,0.086,0.084,0.081,0.079,0.077,0.074,0.072,0.07,0.069,0.067,0.065,0.063,0.061,0.059,0.057,0.055,0.054,0.053,0.051,0.05,0.048,0.045,0.044]