[0.125,0.123,0.118,0.11,0.1,0.089,0.079,0.074,0.074,0.079,0.085,0.086,0.075,0.056,0.036,0.021,0.013,0.011,0.013,0.019,0.03,0.047,0.067,0.085,0.1,0.109,0.114,0.112,0.101,0.082,0.064,0.061,0.084,0.13,0.19,0.246,0.286,0.305,0.302,0.284,0.26,0.237,0.219,0.21,0.206,0.205,0.205,0.202,0.197,0.19,0.182,0.174,0.167,0.161,0.155,0.147,0.137,0.123,0.109,0.096,0.085,0.075,0.069,0.07,0.08,0.101,0.128,0.153,0.17,0.18,0.183,0.18,0.173,0.164,0.156,0.153,0.154,0.157,0.159,0.162,0.166,0.173,0.182,0.189,0.189,0.182,0.173,0.166,0.162,0.161,0.16,0.158,0.156,0.155,0.155,0.155,0.157,0.162,0.169,0.174,0.175,0.169,0.158,0.146,0.135,0.128,0.126,0.128,0.133,0.141,0.149,0.154,0.157,0.155,0.151,0.143,0.129,0.113,0.096,0.085,0.078,0.075,0.074,0.076,0.08,0.087,0.095,0.1,0.099,0.097,0.102,0.12,0.147,0.172,0.185,0.185,0.173,0.156,0.14,0.131,0.127,0.121,0.105,0.079,0.052,0.038,0.043,0.066,0.098,0.127,0.144,0.149,0.145,0.137,0.129,0.122,0.116,0.11,0.107,0.11,0.122,0.143,0.171,0.197,0.215,0.223,0.224,0.223,0.226,0.234,0.24,0.239,0.235,0.234,0.241,0.257,0.278,0.296,0.302,0.291,0.263,0.232,0.21,0.202,0.201,0.198,0.184,0.16,0.13,0.102,0.082,0.071,0.067,0.068,0.075,0.09,0.114,0.153,0.203,0.255,0.29,0.3,0.286,0.259,0.224,0.187,0.153,0.129,0.121,0.126,0.135,0.144,0.152,0.16,0.167,0.172,0.171,0.166,0.155,0.141,0.129,0.12,0.116,0.116,0.117,0.12,0.125,0.132,0.139,0.142,0.138,0.125,0.106,0.084,0.065,0.051,0.039,0.03,0.025,0.029,0.045,0.07,0.098,0.12,0.132,0.134,0.126,0.11,0.088,0.067,0.057,0.069,0.102,0.148,0.198,0.241,0.27,0.28,0.271,0.243,0.207,0.174,0.159,0.17,0.206,0.253,0.291,0.304,0.296,0.276,0.254,0.234,0.218,0.21,0.214,0.229,0.244,0.247,0.233,0.207,0.179,0.156,0.143,0.136,0.134,0.132,0.132,0.14,0.158,0.185,0.214,0.233,0.234,0.215,0.185,0.16,0.153,0.173,0.211,0.253,0.286,0.304,0.309,0.302,0.281,0.249,0.211,0.175,0.147,0.129,0.123,0.136,0.173,0.236,0.308,0.366,0.389,0.37,0.322,0.26,0.198,0.145,0.105,0.078,0.061,0.05,0.044,0.045,0.054,0.067,0.081,0.093,0.102,0.108,0.113,0.118,0.128,0.148,0.178,0.212,0.241,0.259,0.267,0.269,0.269,0.266,0.252,0.22,0.173,0.128,0.105,0.114,0.145,0.173,0.18,0.169,0.155,0.158,0.182,0.219,0.253,0.272,0.268,0.244,0.211,0.182,0.165,0.164,0.179,0.21,0.252,0.293,0.316,0.313,0.289,0.257,0.229,0.208,0.19,0.171,0.155,0.152,0.167,0.193,0.217,0.234,0.241,0.242,0.236,0.225,0.211,0.199,0.191,0.187,0.182,0.172,0.159,0.145,0.137,0.135,0.138,0.141,0.144,0.15,0.164,0.19,0.22,0.24,0.236,0.209,0.174,0.152,0.153,0.173,0.196,0.21,0.206,0.189,0.167,0.153,0.151,0.159,0.166,0.163,0.152,0.143,0.146,0.166,0.196,0.226,0.244,0.242,0.223,0.194,0.168,0.156,0.169,0.203,0.246,0.277,0.283,0.268,0.244,0.222,0.206,0.192,0.178,0.164,0.157,0.157,0.164,0.177,0.201,0.237,0.276,0.3,0.292,0.255,0.207,0.171,0.162,0.181,0.222,0.266,0.295,0.294,0.263,0.211,0.154,0.104,0.071,0.058,0.064,0.089,0.13,0.181,0.227,0.256,0.264,0.257,0.247,0.241,0.243,0.249,0.25,0.242,0.224,0.2,0.174,0.153,0.14,0.141,0.16,0.198,0.242,0.273,0.273,0.243,0.196,0.153,0.125,0.112,0.11,0.118,0.141,0.176,0.216,0.245,0.253,0.24,0.215,0.186,0.157,0.133,0.117,0.115,0.128,0.155,0.196,0.249,0.306,0.356,0.387,0.394,0.382,0.363,0.349,0.349,0.359,0.373,0.384,0.389,0.391,0.392,0.393,0.39,0.38,0.362,0.336,0.305,0.275,0.251,0.23,0.21,0.184,0.159,0.145,0.151,0.175,0.21,0.245,0.275,0.294,0.296,0.274,0.233,0.191,0.17,0.181,0.224,0.285,0.341,0.375,0.378,0.35,0.295,0.229,0.174,0.152,0.175,0.237,0.317,0.393,0.448,0.479,0.49,0.491,0.486,0.479,0.468,0.443,0.394,0.325,0.255,0.211,0.202,0.218,0.235,0.238,0.231,0.222,0.215,0.208,0.195,0.177,0.158,0.146,0.141,0.138,0.132,0.123,0.119,0.121,0.124,0.125,0.129,0.15,0.192,0.251,0.309,0.347,0.361,0.362,0.366,0.384,0.415,0.445,0.464,0.468,0.464,0.456,0.446,0.434,0.418,0.397,0.368,0.335,0.3,0.268,0.241,0.218,0.197,0.176,0.152,0.13,0.116,0.115,0.125,0.14,0.151,0.155,0.153,0.149,0.145,0.141,0.137,0.134,0.134,0.133,0.13,0.124,0.114,0.105,0.098,0.095,0.092,0.091,0.088,0.083,0.073,0.061,0.05,0.045,0.047,0.057,0.069,0.078,0.081,0.079,0.078,0.083,0.093,0.103,0.105,0.097,0.082,0.071,0.072,0.091,0.124,0.158,0.18,0.184,0.17,0.148,0.131,0.128,0.141,0.165,0.188,0.2,0.191,0.167,0.137,0.117,0.106,0.102,0.104,0.12,0.166,0.246,0.346,0.432,0.479,0.479,0.452,0.423,0.409,0.409,0.415,0.417,0.411,0.396,0.372,0.34,0.3,0.254,0.213,0.197,0.224,0.288,0.357,0.39,0.367,0.308,0.26,0.257,0.303,0.367,0.407,0.399,0.35,0.297,0.28,0.308,0.361,0.413,0.443,0.449,0.431,0.391,0.34,0.296,0.287,0.323,0.39,0.453,0.483,0.478,0.457,0.439,0.433,0.433,0.436,0.439,0.438,0.429,0.406,0.372,0.332,0.294,0.264,0.249,0.256,0.285,0.323,0.347,0.345,0.328,0.326,0.354,0.404,0.447,0.454,0.418,0.354,0.296,0.261,0.249,0.247,0.244,0.238,0.23,0.222,0.215,0.213,0.225,0.26,0.314,0.375,0.418,0.434,0.428,0.419,0.419,0.428,0.436,0.439,0.435,0.425,0.407,0.378,0.342,0.304,0.272,0.25,0.242,0.258,0.301,0.356,0.393,0.391,0.355,0.314,0.296,0.316,0.359,0.392,0.389,0.345,0.283,0.231,0.208,0.211,0.224,0.234,0.237,0.237,0.24,0.251,0.271,0.305,0.353,0.407,0.445,0.456,0.441,0.42,0.407,0.405,0.409,0.411,0.409,0.4,0.38,0.344,0.293,0.232,0.179,0.149,0.156,0.199,0.265,0.325,0.352,0.343,0.32,0.312,0.334,0.377,0.413,0.413,0.375,0.317,0.27,0.244,0.229,0.209,0.184,0.171,0.186,0.23,0.287,0.337,0.365,0.362,0.329,0.278,0.237,0.228,0.257,0.301,0.331,0.329,0.303,0.272,0.255,0.254,0.262,0.27,0.269,0.26,0.243,0.221,0.199,0.179,0.161,0.148,0.14,0.136,0.135,0.133,0.132,0.134,0.146,0.17,0.198,0.216,0.211,0.184,0.152,0.13,0.127,0.132,0.137,0.138,0.138,0.136,0.132,0.131,0.146,0.176,0.205,0.218,0.213,0.206,0.21,0.22,0.228,0.229,0.224,0.219,0.212,0.197,0.173,0.144,0.114,0.087,0.067,0.054,0.051,0.056,0.068,0.086,0.105,0.121,0.133,0.141,0.143,0.135,0.117,0.097,0.087,0.096,0.118,0.142,0.16,0.178,0.207,0.248,0.292,0.327,0.354,0.376,0.393,0.395,0.374,0.33,0.279,0.235,0.207,0.195,0.199,0.216,0.241,0.266,0.286,0.294,0.291,0.277,0.258,0.238,0.225,0.226,0.244,0.273,0.293,0.289,0.263,0.232,0.216,0.216,0.22,0.217,0.204,0.188,0.177,0.174,0.181,0.196,0.215,0.234,0.248,0.26,0.272,0.284,0.293,0.296,0.291,0.281,0.27,0.26,0.254,0.255,0.264,0.279,0.295,0.308,0.316,0.32,0.32,0.316,0.308,0.299,0.291,0.282,0.273,0.262,0.252,0.245,0.243,0.246,0.253,0.264,0.278,0.291,0.301,0.305,0.303,0.298,0.292,0.285,0.273,0.256,0.238,0.225,0.22,0.225,0.241,0.272,0.325,0.396,0.471,0.522,0.535,0.514,0.482,0.457,0.449,0.452,0.459,0.465,0.464,0.453,0.427,0.389,0.348,0.315,0.301,0.309,0.342,0.391,0.44,0.464,0.454,0.417,0.382,0.371,0.389,0.422,0.444,0.435,0.396,0.353,0.336,0.354,0.392,0.427,0.442,0.435,0.407,0.364,0.315,0.279,0.281,0.324,0.394,0.452,0.476,0.463,0.437,0.417,0.411,0.413,0.419,0.423,0.424,0.416,0.392,0.353,0.302,0.256,0.227,0.23,0.267,0.328,0.386,0.412,0.395,0.351,0.313,0.309,0.342,0.389,0.418,0.407,0.36,0.302,0.259,0.239,0.231,0.225,0.217,0.211,0.209,0.213,0.224,0.251,0.299,0.365,0.433,0.475,0.479,0.453,0.419,0.396,0.389,0.392,0.397,0.399,0.389,0.359,0.305,0.237,0.173,0.132,0.129,0.17,0.245,0.334,0.403,0.424,0.396,0.346,0.31,0.311,0.347,0.393,0.412,0.389,0.333,0.276,0.241,0.232,0.235,0.237,0.236,0.243,0.266,0.308,0.362,0.42,0.474,0.521,0.551,0.555,0.53,0.488,0.448,0.422,0.413,0.413,0.417,0.42,0.418,0.403,0.367,0.314,0.257,0.215,0.203,0.227,0.285,0.356,0.409,0.415,0.374,0.316,0.28,0.289,0.334,0.384,0.402,0.375,0.317,0.261,0.229,0.221,0.22,0.218,0.22,0.234,0.268,0.314,0.36,0.396,0.414,0.416,0.412,0.409,0.412,0.419,0.425,0.428,0.427,0.424,0.421,0.418,0.411,0.39,0.353,0.305,0.259,0.227,0.211,0.208,0.211,0.217,0.224,0.232,0.238,0.24,0.24,0.24,0.242,0.245,0.246,0.243,0.239,0.243,0.262,0.298,0.342,0.381,0.404,0.407,0.39,0.357,0.312,0.268,0.241,0.241,0.268,0.307,0.342,0.366,0.379,0.384,0.388,0.391,0.394,0.395,0.393,0.385,0.37,0.353,0.337,0.323,0.308,0.291,0.27,0.25,0.237,0.233,0.235,0.241,0.247,0.252,0.257,0.26,0.261,0.257,0.25,0.243,0.237,0.232,0.227,0.223,0.224,0.235,0.259,0.288,0.311,0.316,0.308,0.299,0.301,0.317,0.339,0.357,0.369,0.373,0.373,0.373,0.372,0.368,0.352,0.32,0.275,0.227,0.191,0.174,0.174,0.185,0.199,0.211,0.22,0.226,0.229,0.229,0.23,0.234,0.24,0.246,0.246,0.238,0.225,0.212,0.203,0.199,0.198,0.197,0.197,0.198,0.199,0.2,0.201,0.205,0.213,0.221,0.228,0.226,0.217,0.204,0.19,0.179,0.169,0.158,0.147,0.137,0.127,0.113,0.093,0.07,0.049,0.034,0.027,0.024,0.023,0.024,0.028,0.033,0.039,0.047,0.056,0.07,0.086,0.103,0.113,0.115,0.113,0.113,0.121,0.136,0.155,0.177,0.2,0.22,0.227,0.219,0.211,0.229,0.289,0.379,0.463,0.513,0.52,0.501,0.476,0.458,0.446,0.438,0.427,0.402,0.357,0.29,0.212,0.141,0.091,0.069,0.077,0.119,0.189,0.265,0.316,0.329,0.318,0.315,0.34,0.388,0.432,0.443,0.408,0.341,0.276,0.247,0.262,0.301,0.337,0.355,0.353,0.338,0.313,0.289,0.28,0.302,0.354,0.415,0.457,0.463,0.443,0.419,0.407,0.407,0.413,0.416,0.408,0.382,0.332,0.263,0.188,0.124,0.084,0.071,0.086,0.131,0.2,0.266,0.298,0.282,0.237,0.2,0.204,0.249,0.31,0.343,0.327,0.267,0.202,0.162,0.159,0.175,0.194,0.208,0.216,0.217,0.211,0.206,0.213,0.248,0.311,0.387,0.45,0.483,0.485,0.474,0.464,0.461,0.462,0.464,0.461,0.452,0.431,0.395,0.345,0.288,0.237,0.206,0.208,0.245,0.303,0.349,0.354,0.315,0.263,0.236,0.258,0.316,0.377,0.4,0.369,0.301,0.236,0.2,0.197,0.208,0.22,0.23,0.249,0.283,0.33,0.38,0.427,0.47,0.51,0.54,0.553,0.542,0.517,0.49,0.472,0.466,0.467,0.469,0.467,0.456,0.428,0.384,0.329,0.274,0.231,0.211,0.221,0.262,0.317,0.357,0.359,0.324,0.279,0.256,0.274,0.321,0.368,0.38,0.349,0.294,0.252,0.239,0.25,0.262,0.263,0.258,0.262,0.286,0.329,0.382,0.435,0.481,0.515,0.528,0.516,0.487,0.455,0.434,0.429,0.435,0.445,0.453,0.453,0.439,0.407,0.358,0.303,0.256,0.228,0.225,0.252,0.303,0.362,0.403,0.409,0.382,0.347,0.329,0.34,0.37,0.396,0.393,0.361,0.318,0.298,0.312,0.351,0.394,0.424,0.435,0.429,0.408,0.377,0.343,0.325,0.337,0.377,0.425,0.456,0.462,0.452,0.441,0.437,0.439,0.44,0.437,0.425,0.404,0.371,0.329,0.283,0.24,0.211,0.211,0.247,0.311,0.377,0.406,0.382,0.32,0.259,0.237,0.264,0.319,0.364,0.37,0.334,0.283,0.249,0.246,0.26,0.273,0.273,0.268,0.271,0.294,0.334,0.382,0.432,0.476,0.508,0.52,0.511,0.488,0.466,0.452,0.446,0.443,0.441,0.436,0.426,0.404,0.368,0.324,0.285,0.263,0.26,0.271,0.296,0.332,0.365,0.374,0.351,0.311,0.286,0.294,0.332,0.375,0.393,0.367,0.303,0.229,0.174,0.149,0.144,0.146,0.156,0.186,0.239,0.308,0.371,0.415,0.437,0.442,0.439,0.434,0.43,0.428,0.427,0.427,0.428,0.43,0.432,0.432,0.425,0.408,0.377,0.337,0.292,0.25,0.218,0.197,0.182,0.166,0.149,0.138,0.14,0.158,0.179,0.19,0.187,0.176,0.166,0.157,0.146,0.131,0.118,0.115,0.124,0.142,0.165,0.186,0.202,0.206,0.202,0.205,0.235,0.298,0.382,0.454,0.488,0.475,0.429,0.361,0.285,0.209,0.146,0.11,0.109,0.143,0.195,0.247,0.281,0.29,0.276,0.246,0.212,0.195,0.22,0.29,0.387,0.469,0.504,0.485,0.427,0.35,0.272,0.209,0.173,0.171,0.202,0.255,0.314,0.364,0.395,0.401,0.382,0.34,0.289,0.252,0.252,0.297,0.371,0.442,0.486,0.498,0.491,0.478,0.466,0.457,0.449,0.437,0.412,0.365,0.3,0.235,0.192,0.185,0.213,0.263,0.322,0.378,0.414,0.415,0.38,0.324,0.279,0.267,0.292,0.333,0.353,0.33,0.272,0.212,0.174,0.16,0.155,0.151,0.157,0.186,0.237,0.302,0.365,0.42,0.467,0.504,0.527,0.531,0.515,0.491,0.469,0.457,0.451,0.448,0.443,0.433,0.416,0.389,0.355,0.321,0.295,0.281,0.281,0.295,0.324,0.358,0.378,0.365,0.323,0.276,0.253,0.268,0.313,0.363,0.386,0.367,0.316,0.264,0.229,0.214,0.204,0.186,0.161,0.138,0.127,0.13,0.146,0.17,0.2,0.239,0.287,0.341,0.389,0.423,0.442,0.45,0.453,0.454,0.452,0.445,0.43,0.404,0.364,0.313,0.258,0.206,0.161,0.124,0.101,0.099,0.123,0.168,0.218,0.253,0.263,0.249,0.228,0.215,0.218,0.23,0.243,0.246,0.237,0.214,0.181,0.148,0.122,0.109,0.105,0.109,0.124,0.164,0.231,0.317,0.396,0.444,0.455,0.443,0.43,0.425,0.427,0.43,0.429,0.422,0.407,0.386,0.358,0.322,0.279,0.238,0.215,0.227,0.274,0.333,0.366,0.354,0.308,0.267,0.261,0.296,0.351,0.392,0.391,0.351,0.296,0.262,0.265,0.297,0.338,0.374,0.397,0.405,0.394,0.367,0.336,0.32,0.333,0.374,0.422,0.452,0.455,0.441,0.428,0.426,0.432,0.44,0.443,0.439,0.427,0.404,0.375,0.341,0.31,0.283,0.268,0.273,0.301,0.34,0.364,0.355,0.321,0.292,0.293,0.325,0.368,0.394,0.387,0.348,0.298,0.257,0.235,0.226,0.224,0.224,0.221,0.213,0.199,0.189,0.195,0.228,0.287,0.36,0.421,0.456,0.463,0.459,0.455,0.455,0.456,0.452,0.443,0.43,0.409,0.381,0.348,0.314,0.282,0.258,0.246,0.259,0.298,0.352,0.393,0.399,0.371,0.333,0.313,0.324,0.356,0.384,0.383,0.344,0.284,0.233,0.215,0.226,0.246,0.256,0.253,0.25,0.265,0.304,0.36,0.42,0.472,0.505,0.511,0.492,0.46,0.435,0.423,0.425,0.429,0.431,0.428,0.42,0.405,0.376,0.332,0.28,0.233,0.21,0.219,0.258,0.311,0.356,0.369,0.349,0.317,0.3,0.314,0.353,0.392,0.404,0.381,0.333,0.286,0.255,0.237,0.22,0.201,0.194,0.212,0.256,0.312,0.358,0.375,0.353,0.299,0.233,0.182,0.161,0.169,0.19,0.207,0.212,0.209,0.204,0.204,0.208,0.214,0.218,0.217,0.212,0.203,0.193,0.183,0.173,0.163,0.153,0.144,0.136,0.132,0.132,0.137,0.146,0.16,0.178,0.197,0.209,0.207,0.19,0.171,0.158,0.155,0.155,0.151,0.142,0.132,0.121,0.112,0.107,0.113,0.131,0.149,0.157,0.156,0.159,0.174,0.194,0.207,0.204,0.19,0.171,0.153,0.135,0.116,0.097,0.079,0.064,0.053,0.045,0.04,0.039,0.041,0.047,0.055,0.063,0.07,0.079,0.086,0.088,0.083,0.075,0.075,0.09,0.115,0.139,0.154,0.163,0.175,0.193,0.213,0.227,0.236,0.245,0.256,0.261,0.254,0.231,0.2,0.174,0.159,0.158,0.168,0.187,0.21,0.233,0.252,0.263,0.264,0.254,0.238,0.218,0.202,0.193,0.196,0.208,0.22,0.218,0.2,0.176,0.16,0.158,0.16,0.16,0.153,0.144,0.137,0.137,0.143,0.157,0.174,0.192,0.206,0.215,0.22,0.222,0.221,0.216,0.209,0.201,0.195,0.189,0.185,0.184,0.188,0.195,0.204,0.213,0.22,0.224,0.227,0.226,0.223,0.217,0.207,0.195,0.183,0.172,0.162,0.157,0.157,0.165,0.177,0.191,0.205,0.217,0.229,0.239,0.244,0.245,0.242,0.236,0.224,0.206,0.185,0.168,0.158,0.157,0.168,0.193,0.241,0.312,0.394,0.461,0.492,0.486,0.46,0.434,0.421,0.42,0.423,0.426,0.425,0.417,0.396,0.361,0.318,0.278,0.251,0.246,0.267,0.312,0.364,0.393,0.384,0.342,0.297,0.277,0.294,0.334,0.369,0.375,0.346,0.306,0.282,0.29,0.322,0.357,0.382,0.393,0.391,0.378,0.355,0.328,0.318,0.336,0.383,0.434,0.466,0.469,0.454,0.438,0.43,0.427,0.427,0.423,0.411,0.389,0.355,0.316,0.28,0.255,0.245,0.253,0.284,0.333,0.384,0.409,0.394,0.349,0.305,0.289,0.306,0.342,0.37,0.366,0.329,0.28,0.241,0.223,0.216,0.207,0.193,0.178,0.168,0.166,0.173,0.194,0.234,0.295,0.366,0.425,0.458,0.461,0.45,0.44,0.437,0.44,0.444,0.443,0.429,0.395,0.336,0.262,0.188,0.138,0.125,0.153,0.216,0.293,0.356,0.378,0.353,0.305,0.268,0.269,0.306,0.357,0.386,0.375,0.33,0.277,0.239,0.222,0.214,0.207,0.199,0.203,0.227,0.27,0.324,0.379,0.43,0.472,0.498,0.501,0.481,0.449,0.42,0.401,0.392,0.388,0.386,0.385,0.379,0.359,0.32,0.263,0.202,0.154,0.134,0.148,0.194,0.259,0.316,0.335,0.309,0.258,0.22,0.224,0.268,0.325,0.356,0.343,0.293,0.242,0.211,0.205,0.207,0.21,0.215,0.231,0.263,0.304,0.341,0.36,0.359,0.348,0.342,0.348,0.362,0.373,0.378,0.377,0.375,0.375,0.378,0.38,0.371,0.341,0.285,0.213,0.145,0.095,0.067,0.053,0.046,0.044,0.048,0.057,0.069,0.081,0.093,0.103,0.113,0.117,0.112,0.095,0.072,0.051,0.036,0.029,0.025,0.022,0.02,0.018,0.016,0.013,0.011,0.009,0.007,0.007]