[0.088,0.081,0.066,0.046,0.028,0.015,0.01,0.012,0.021,0.033,0.044,0.049,0.045,0.039,0.037,0.046,0.066,0.091,0.116,0.134,0.146,0.154,0.159,0.164,0.168,0.171,0.174,0.178,0.185,0.2,0.221,0.246,0.272,0.293,0.304,0.301,0.289,0.28,0.281,0.289,0.295,0.29,0.273,0.245,0.211,0.18,0.159,0.155,0.168,0.191,0.211,0.218,0.207,0.182,0.151,0.123,0.105,0.096,0.094,0.098,0.11,0.129,0.149,0.166,0.18,0.193,0.205,0.214,0.221,0.23,0.243,0.259,0.271,0.272,0.265,0.259,0.263,0.283,0.314,0.341,0.354,0.349,0.331,0.311,0.295,0.283,0.27,0.254,0.233,0.212,0.195,0.183,0.174,0.166,0.161,0.162,0.173,0.19,0.206,0.213,0.211,0.206,0.205,0.209,0.214,0.218,0.219,0.217,0.213,0.208,0.201,0.197,0.2,0.215,0.239,0.268,0.296,0.318,0.33,0.329,0.317,0.299,0.28,0.262,0.248,0.244,0.252,0.275,0.308,0.342,0.368,0.382,0.387,0.385,0.376,0.354,0.313,0.254,0.184,0.12,0.073,0.046,0.037,0.048,0.077,0.122,0.17,0.207,0.226,0.233,0.236,0.243,0.251,0.256,0.259,0.264,0.271,0.276,0.271,0.255,0.234,0.221,0.221,0.237,0.26,0.279,0.288,0.289,0.29,0.299,0.314,0.325,0.324,0.312,0.298,0.29,0.29,0.294,0.295,0.29,0.278,0.26,0.238,0.215,0.194,0.18,0.17,0.161,0.15,0.137,0.124,0.112,0.103,0.097,0.094,0.093,0.097,0.103,0.109,0.111,0.109,0.109,0.117,0.133,0.156,0.179,0.198,0.209,0.212,0.21,0.21,0.215,0.223,0.229,0.229,0.224,0.217,0.212,0.21,0.208,0.21,0.221,0.254,0.307,0.365,0.402,0.403,0.373,0.334,0.308,0.301,0.306,0.314,0.318,0.32,0.32,0.316,0.301,0.275,0.244,0.222,0.221,0.249,0.301,0.361,0.405,0.415,0.392,0.353,0.321,0.31,0.321,0.346,0.378,0.406,0.417,0.404,0.373,0.341,0.319,0.306,0.291,0.27,0.248,0.238,0.246,0.269,0.293,0.31,0.318,0.331,0.358,0.397,0.428,0.434,0.413,0.38,0.352,0.336,0.328,0.321,0.311,0.303,0.304,0.312,0.319,0.313,0.289,0.255,0.229,0.229,0.261,0.315,0.367,0.394,0.38,0.331,0.269,0.227,0.222,0.253,0.306,0.363,0.403,0.415,0.4,0.376,0.36,0.361,0.367,0.367,0.359,0.348,0.343,0.346,0.353,0.357,0.361,0.37,0.389,0.414,0.43,0.428,0.406,0.377,0.354,0.34,0.332,0.321,0.305,0.29,0.283,0.286,0.293,0.291,0.274,0.249,0.228,0.223,0.242,0.283,0.333,0.376,0.388,0.365,0.32,0.28,0.266,0.282,0.316,0.353,0.379,0.386,0.374,0.352,0.332,0.316,0.299,0.275,0.247,0.229,0.23,0.252,0.288,0.324,0.352,0.371,0.391,0.416,0.438,0.444,0.428,0.397,0.367,0.347,0.333,0.316,0.294,0.272,0.259,0.257,0.255,0.244,0.225,0.21,0.206,0.212,0.219,0.23,0.251,0.286,0.314,0.319,0.3,0.279,0.274,0.293,0.326,0.361,0.387,0.396,0.386,0.365,0.345,0.331,0.32,0.303,0.281,0.262,0.256,0.264,0.282,0.299,0.306,0.299,0.285,0.274,0.277,0.294,0.311,0.315,0.3,0.277,0.257,0.247,0.244,0.246,0.256,0.271,0.285,0.287,0.269,0.239,0.213,0.202,0.213,0.244,0.287,0.328,0.349,0.336,0.295,0.248,0.223,0.233,0.271,0.321,0.364,0.382,0.371,0.338,0.307,0.293,0.297,0.306,0.307,0.296,0.281,0.27,0.268,0.27,0.272,0.274,0.281,0.302,0.334,0.363,0.376,0.364,0.34,0.315,0.299,0.289,0.281,0.271,0.266,0.269,0.284,0.298,0.296,0.272,0.237,0.209,0.205,0.228,0.271,0.321,0.36,0.374,0.36,0.334,0.316,0.318,0.341,0.372,0.402,0.421,0.424,0.41,0.389,0.374,0.37,0.374,0.376,0.37,0.359,0.349,0.344,0.344,0.345,0.344,0.343,0.352,0.374,0.402,0.419,0.417,0.398,0.376,0.36,0.351,0.343,0.331,0.316,0.302,0.296,0.295,0.288,0.266,0.231,0.199,0.187,0.205,0.247,0.302,0.352,0.371,0.349,0.293,0.238,0.216,0.241,0.298,0.362,0.409,0.426,0.413,0.384,0.356,0.335,0.318,0.298,0.277,0.264,0.27,0.293,0.322,0.345,0.358,0.368,0.385,0.411,0.438,0.448,0.433,0.4,0.364,0.338,0.325,0.315,0.301,0.281,0.26,0.245,0.239,0.231,0.216,0.198,0.186,0.187,0.201,0.227,0.267,0.313,0.348,0.351,0.317,0.266,0.231,0.233,0.272,0.334,0.397,0.441,0.455,0.444,0.425,0.409,0.395,0.372,0.339,0.305,0.285,0.282,0.292,0.299,0.302,0.301,0.31,0.331,0.36,0.379,0.375,0.353,0.328,0.311,0.302,0.288,0.27,0.251,0.245,0.256,0.279,0.298,0.305,0.294,0.276,0.261,0.26,0.275,0.307,0.348,0.385,0.404,0.401,0.383,0.371,0.375,0.398,0.429,0.451,0.447,0.415,0.366,0.327,0.315,0.33,0.357,0.375,0.372,0.352,0.326,0.309,0.308,0.322,0.342,0.367,0.396,0.428,0.448,0.442,0.41,0.365,0.328,0.304,0.289,0.276,0.26,0.246,0.24,0.246,0.263,0.277,0.277,0.259,0.233,0.211,0.208,0.231,0.281,0.348,0.404,0.427,0.411,0.378,0.355,0.361,0.391,0.423,0.433,0.414,0.379,0.351,0.348,0.366,0.389,0.4,0.397,0.385,0.375,0.371,0.374,0.377,0.376,0.371,0.371,0.382,0.399,0.407,0.397,0.372,0.349,0.337,0.338,0.343,0.347,0.351,0.358,0.364,0.36,0.338,0.301,0.267,0.252,0.26,0.285,0.32,0.357,0.389,0.401,0.384,0.348,0.316,0.313,0.342,0.392,0.435,0.45,0.425,0.372,0.319,0.297,0.308,0.339,0.364,0.373,0.367,0.357,0.35,0.347,0.344,0.341,0.337,0.334,0.334,0.335,0.333,0.323,0.305,0.284,0.269,0.266,0.271,0.275,0.269,0.253,0.238,0.231,0.232,0.237,0.237,0.228,0.213,0.198,0.186,0.175,0.163,0.148,0.133,0.119,0.111,0.105,0.102,0.1,0.098,0.098,0.101,0.111,0.129,0.153,0.176,0.194,0.202,0.202,0.197,0.193,0.194,0.199,0.208,0.217,0.227,0.247,0.286,0.341,0.396,0.427,0.426,0.399,0.365,0.338,0.325,0.324,0.332,0.344,0.354,0.361,0.359,0.345,0.319,0.29,0.264,0.247,0.242,0.254,0.288,0.336,0.375,0.387,0.372,0.351,0.345,0.363,0.396,0.426,0.434,0.41,0.368,0.33,0.32,0.336,0.361,0.373,0.367,0.351,0.335,0.327,0.327,0.332,0.342,0.361,0.394,0.433,0.465,0.471,0.447,0.405,0.364,0.337,0.323,0.316,0.311,0.308,0.311,0.322,0.336,0.341,0.333,0.312,0.288,0.271,0.267,0.279,0.307,0.35,0.393,0.42,0.423,0.413,0.407,0.418,0.444,0.471,0.48,0.458,0.412,0.364,0.34,0.345,0.369,0.392,0.402,0.398,0.388,0.378,0.374,0.372,0.374,0.38,0.397,0.428,0.466,0.494,0.499,0.482,0.454,0.429,0.413,0.404,0.398,0.391,0.385,0.38,0.374,0.362,0.34,0.312,0.286,0.269,0.264,0.274,0.304,0.353,0.411,0.455,0.47,0.458,0.438,0.427,0.435,0.454,0.469,0.459,0.425,0.379,0.347,0.342,0.362,0.388,0.406,0.407,0.396,0.381,0.371,0.369,0.373,0.384,0.401,0.428,0.459,0.48,0.48,0.46,0.433,0.411,0.395,0.379,0.36,0.344,0.34,0.349,0.364,0.374,0.372,0.358,0.338,0.316,0.297,0.289,0.304,0.347,0.407,0.457,0.478,0.466,0.446,0.439,0.454,0.478,0.488,0.465,0.413,0.356,0.324,0.327,0.352,0.374,0.38,0.373,0.364,0.36,0.361,0.363,0.362,0.36,0.365,0.385,0.416,0.446,0.453,0.431,0.39,0.349,0.322,0.312,0.314,0.319,0.325,0.331,0.335,0.335,0.326,0.307,0.281,0.258,0.244,0.241,0.254,0.286,0.33,0.367,0.38,0.363,0.335,0.319,0.33,0.365,0.407,0.428,0.414,0.37,0.325,0.308,0.321,0.347,0.364,0.362,0.347,0.332,0.321,0.315,0.309,0.306,0.315,0.344,0.388,0.43,0.449,0.438,0.404,0.365,0.337,0.323,0.318,0.316,0.315,0.319,0.329,0.341,0.346,0.336,0.313,0.286,0.265,0.259,0.27,0.298,0.341,0.386,0.417,0.427,0.421,0.416,0.424,0.447,0.471,0.481,0.461,0.415,0.365,0.339,0.344,0.371,0.396,0.406,0.4,0.385,0.371,0.363,0.359,0.357,0.359,0.372,0.4,0.435,0.46,0.462,0.437,0.399,0.364,0.34,0.329,0.325,0.322,0.32,0.319,0.319,0.314,0.298,0.27,0.239,0.217,0.21,0.225,0.264,0.323,0.386,0.426,0.434,0.414,0.393,0.389,0.407,0.436,0.459,0.456,0.427,0.383,0.349,0.34,0.355,0.374,0.381,0.373,0.355,0.338,0.326,0.317,0.308,0.302,0.3,0.306,0.317,0.328,0.333,0.328,0.316,0.301,0.287,0.275,0.261,0.247,0.235,0.226,0.221,0.218,0.213,0.206,0.196,0.186,0.176,0.167,0.159,0.154,0.152,0.152,0.155,0.158,0.157,0.153,0.149,0.146,0.146,0.147,0.146,0.143,0.139,0.136,0.135,0.136,0.136,0.137,0.14,0.145,0.15,0.152,0.149,0.144,0.14,0.142,0.152,0.164,0.171,0.168,0.155,0.139,0.128,0.123,0.119,0.11,0.097,0.085,0.077,0.075,0.075,0.075,0.075,0.08,0.091,0.106,0.12,0.125,0.121,0.111,0.1,0.092,0.089,0.089,0.093,0.099,0.107,0.116,0.121,0.121,0.114,0.106,0.101,0.098,0.098,0.098,0.101,0.108,0.122,0.14,0.156,0.166,0.171,0.171,0.172,0.174,0.177,0.18,0.183,0.188,0.196,0.206,0.214,0.216,0.211,0.204,0.196,0.193,0.192,0.196,0.203,0.216,0.234,0.258,0.284,0.306,0.321,0.327,0.326,0.322,0.315,0.306,0.295,0.281,0.264,0.245,0.225,0.208,0.197,0.193,0.193,0.193,0.194,0.199,0.209,0.22,0.227,0.226,0.221,0.22,0.23,0.258,0.307,0.37,0.428,0.465,0.47,0.453,0.429,0.413,0.408,0.408,0.409,0.408,0.41,0.413,0.411,0.391,0.355,0.312,0.279,0.272,0.294,0.343,0.403,0.447,0.45,0.415,0.367,0.338,0.342,0.369,0.402,0.423,0.426,0.411,0.389,0.372,0.373,0.389,0.409,0.421,0.417,0.402,0.384,0.37,0.363,0.36,0.362,0.372,0.397,0.431,0.462,0.471,0.454,0.419,0.385,0.361,0.351,0.347,0.344,0.342,0.345,0.354,0.365,0.369,0.358,0.332,0.299,0.274,0.271,0.296,0.341,0.388,0.414,0.401,0.355,0.3,0.269,0.28,0.326,0.383,0.424,0.434,0.419,0.397,0.388,0.397,0.416,0.428,0.425,0.411,0.395,0.383,0.379,0.376,0.375,0.376,0.389,0.416,0.447,0.464,0.455,0.426,0.395,0.374,0.365,0.359,0.351,0.343,0.343,0.353,0.366,0.37,0.355,0.319,0.28,0.257,0.27,0.318,0.386,0.448,0.484,0.483,0.449,0.4,0.365,0.362,0.396,0.445,0.485,0.496,0.48,0.449,0.425,0.415,0.419,0.422,0.418,0.405,0.392,0.387,0.391,0.397,0.4,0.399,0.405,0.421,0.444,0.456,0.446,0.421,0.399,0.391,0.396,0.401,0.394,0.373,0.348,0.329,0.317,0.302,0.278,0.251,0.236,0.24,0.255,0.269,0.283,0.302,0.326,0.337,0.328,0.307,0.301,0.324,0.375,0.431,0.474,0.492,0.487,0.469,0.45,0.438,0.433,0.428,0.416,0.399,0.383,0.375,0.376,0.381,0.384,0.381,0.375,0.37,0.37,0.376,0.385,0.392,0.392,0.386,0.377,0.371,0.368,0.366,0.366,0.369,0.376,0.384,0.384,0.373,0.355,0.34,0.337,0.349,0.375,0.408,0.44,0.458,0.451,0.422,0.386,0.365,0.371,0.4,0.433,0.447,0.43,0.392,0.353,0.336,0.344,0.366,0.384,0.389,0.38,0.367,0.36,0.363,0.372,0.383,0.395,0.412,0.435,0.461,0.475,0.471,0.449,0.423,0.4,0.383,0.37,0.358,0.348,0.347,0.354,0.365,0.368,0.36,0.342,0.325,0.317,0.324,0.347,0.385,0.429,0.469,0.488,0.485,0.47,0.461,0.469,0.494,0.519,0.53,0.516,0.484,0.447,0.423,0.418,0.424,0.43,0.43,0.42,0.406,0.392,0.382,0.376,0.377,0.387,0.408,0.439,0.473,0.497,0.499,0.478,0.447,0.421,0.405,0.4,0.399,0.4,0.404,0.409,0.415,0.414,0.402,0.38,0.354,0.335,0.327,0.335,0.36,0.398,0.437,0.456,0.448,0.418,0.39,0.383,0.403,0.441,0.476,0.486,0.462,0.416,0.375,0.359,0.372,0.397,0.419,0.428,0.429,0.426,0.421,0.413,0.404,0.4,0.412,0.443,0.482,0.51,0.512,0.487,0.452,0.422,0.406,0.404,0.408,0.412,0.411,0.405,0.396,0.384,0.369,0.352,0.34,0.335,0.337,0.343,0.357,0.383,0.419,0.447,0.453,0.434,0.408,0.395,0.407,0.436,0.468,0.482,0.472,0.449,0.431,0.432,0.447,0.46,0.454,0.428,0.392,0.361,0.345,0.345,0.349,0.351,0.351,0.36,0.386,0.423,0.455,0.467,0.455,0.431,0.401,0.371,0.34,0.312,0.288,0.279,0.288,0.312,0.335,0.345,0.335,0.315,0.299,0.299,0.32,0.361,0.415,0.466,0.497,0.498,0.477,0.453,0.443,0.453,0.473,0.488,0.482,0.459,0.431,0.414,0.411,0.414,0.413,0.403,0.384,0.367,0.36,0.367,0.385,0.407,0.428,0.454,0.487,0.524,0.548,0.543,0.505,0.444,0.375,0.313,0.262,0.226,0.205,0.205,0.229,0.275,0.32,0.345,0.337,0.305,0.266,0.239,0.237,0.265,0.32,0.388,0.448,0.483,0.492,0.489,0.488,0.5,0.518,0.528,0.512,0.475,0.434,0.415,0.424,0.447,0.462,0.461,0.448,0.433,0.422,0.418,0.421,0.429,0.443,0.462,0.487,0.512,0.526,0.522,0.499,0.462,0.416,0.363,0.313,0.274,0.255,0.261,0.287,0.32,0.338,0.325,0.29,0.255,0.243,0.257,0.291,0.339,0.397,0.461,0.511,0.532,0.52,0.493,0.469,0.463,0.476,0.493,0.495,0.469,0.423,0.382,0.368,0.378,0.396,0.404,0.398,0.386,0.378,0.378,0.384,0.395,0.407,0.416,0.422,0.424,0.426,0.427,0.425,0.416,0.399,0.38,0.366,0.358,0.351,0.34,0.324,0.307,0.297,0.295,0.297,0.297,0.291,0.28,0.271,0.271,0.278,0.289,0.295,0.297,0.293,0.289,0.285,0.282,0.278,0.271,0.262,0.252,0.242,0.235,0.229,0.226,0.224,0.221,0.217,0.21,0.2,0.191,0.183,0.175,0.167,0.159,0.155,0.157,0.167,0.182,0.197,0.206,0.205,0.195,0.184,0.175,0.174,0.177,0.181,0.182,0.178,0.169,0.156,0.141,0.128,0.121,0.122,0.129,0.136,0.138,0.134,0.124,0.112,0.104,0.102,0.103,0.102,0.099,0.096,0.095,0.097,0.1,0.104,0.11,0.117,0.122,0.124,0.12,0.115,0.108,0.101,0.091,0.083,0.081,0.093,0.121,0.158,0.192,0.214,0.223,0.221,0.214,0.208,0.204,0.2,0.195,0.187,0.178,0.17,0.161,0.152,0.144,0.138,0.136,0.138,0.14,0.139,0.135,0.128,0.123,0.119,0.115,0.109,0.102,0.094,0.087,0.081,0.076,0.072,0.07,0.071,0.077,0.085,0.092,0.095,0.093,0.089,0.084,0.08,0.079,0.078,0.078,0.079,0.083,0.093,0.109,0.125,0.137,0.141,0.139,0.137,0.136,0.137,0.136,0.131,0.122,0.109,0.095,0.081,0.068,0.059,0.053,0.052,0.057,0.065,0.076,0.087,0.099,0.11,0.118,0.123,0.125,0.125,0.125,0.123,0.117,0.107,0.097,0.089,0.085,0.087,0.09,0.093,0.093,0.09,0.083,0.075,0.066,0.059,0.055,0.057,0.067,0.086,0.109,0.13,0.142,0.143,0.136,0.126,0.118,0.111,0.105,0.102,0.101,0.102,0.102,0.098,0.09,0.081,0.072,0.066,0.061,0.058,0.055,0.053,0.053,0.052,0.051,0.049,0.047,0.046,0.049,0.054,0.061,0.07,0.085,0.109,0.144,0.184,0.218,0.242,0.256,0.265,0.267,0.262,0.248,0.229,0.214,0.215,0.246,0.311,0.402,0.495,0.564,0.599,0.607,0.604,0.601,0.6,0.599,0.597,0.592,0.58,0.553,0.504,0.431,0.347,0.271,0.222,0.208,0.227,0.277,0.348,0.431,0.498,0.534,0.535,0.526,0.524,0.539,0.56,0.57,0.552,0.506,0.453,0.42,0.421,0.446,0.472,0.484,0.481,0.472,0.465,0.465,0.475,0.492,0.514,0.541,0.571,0.599,0.618,0.617,0.597,0.567,0.539,0.521,0.514,0.51,0.506,0.5,0.494,0.491,0.486,0.474,0.454,0.429,0.403,0.381,0.365,0.365,0.388,0.438,0.498,0.548,0.572,0.576,0.576,0.586,0.608,0.626,0.622,0.59,0.542,0.502,0.486,0.493,0.507,0.515,0.513,0.503,0.49,0.48,0.477,0.485,0.501,0.523,0.552,0.584,0.615,0.629,0.622,0.594,0.562,0.538,0.526,0.524,0.526,0.529,0.53,0.525,0.507,0.476,0.436,0.395,0.364,0.344,0.334,0.339,0.37,0.433,0.512,0.577,0.603,0.59,0.56,0.539,0.541,0.558,0.571,0.564,0.538,0.509,0.498,0.507,0.524,0.534,0.534,0.525,0.514,0.503,0.498,0.501,0.513,0.532,0.559,0.593,0.627,0.647,0.64,0.607,0.565,0.53,0.509,0.501,0.497,0.495,0.496,0.498,0.498,0.49,0.47,0.443,0.415,0.387,0.36,0.341,0.345,0.383,0.448,0.51,0.542,0.537,0.518,0.51,0.526,0.556,0.581,0.581,0.56,0.534,0.524,0.53,0.54,0.533,0.511,0.486,0.473,0.475,0.486,0.499,0.509,0.518,0.531,0.553,0.585,0.618,0.638,0.635,0.616,0.591,0.573,0.564,0.561,0.562,0.562,0.556,0.537,0.497,0.437,0.37,0.311,0.273,0.259,0.269,0.306,0.369,0.446,0.513,0.549,0.55,0.535,0.525,0.532,0.548,0.557,0.545,0.508,0.461,0.429,0.426,0.445,0.464,0.466,0.451,0.429,0.412,0.408,0.419,0.444,0.479,0.519,0.563,0.604,0.632,0.635,0.614,0.578,0.544,0.521,0.512,0.509,0.508,0.505,0.501,0.495,0.486,0.47,0.448,0.424,0.404,0.39,0.384,0.389,0.411,0.452,0.501,0.54,0.555,0.552,0.546,0.553,0.573,0.592,0.591,0.558,0.508,0.467,0.458,0.477,0.506,0.525,0.529,0.523,0.513,0.506,0.503,0.507,0.515,0.527,0.546,0.571,0.6,0.62,0.621,0.603,0.577,0.554,0.538,0.529,0.525,0.521,0.516,0.508,0.496,0.474,0.44,0.397,0.358,0.331,0.32,0.327,0.361,0.423,0.497,0.558,0.584,0.578,0.559,0.546,0.551,0.565,0.575,0.563,0.531,0.494,0.474,0.479,0.498,0.511,0.509,0.491,0.469,0.451,0.445,0.455,0.475,0.494,0.501,0.497,0.487,0.48,0.479,0.479,0.474,0.464,0.451,0.437,0.423,0.411,0.399,0.387,0.376,0.365,0.355,0.344,0.332,0.319,0.306,0.294,0.283,0.274,0.267,0.261,0.256,0.251,0.244,0.236,0.228,0.222,0.216,0.211,0.206,0.2,0.194,0.189,0.186,0.185,0.183,0.182,0.179,0.176,0.171,0.166,0.158,0.147,0.134,0.125,0.125,0.135,0.152,0.168,0.177,0.178,0.175,0.171,0.167,0.163,0.158,0.153,0.148,0.144,0.139,0.135,0.13,0.124,0.119,0.114,0.108,0.103,0.099,0.094,0.089,0.085,0.081,0.076,0.072,0.068,0.064,0.06,0.056,0.053,0.05,0.047,0.044,0.04,0.037,0.033,0.029,0.026,0.023,0.02,0.017,0.015,0.012,0.01,0.008,0.006,0.004,0.003,0.001,0.001,0.001]