[0,0,0.001,0.002,0.007,0.016,0.031,0.052,0.078,0.103,0.124,0.138,0.144,0.146,0.146,0.144,0.141,0.136,0.131,0.127,0.127,0.13,0.136,0.145,0.155,0.164,0.167,0.164,0.159,0.155,0.151,0.145,0.135,0.125,0.116,0.113,0.117,0.126,0.139,0.153,0.164,0.17,0.167,0.156,0.139,0.122,0.108,0.098,0.092,0.088,0.086,0.086,0.093,0.108,0.131,0.157,0.178,0.19,0.196,0.198,0.201,0.206,0.213,0.22,0.225,0.222,0.213,0.202,0.197,0.199,0.205,0.211,0.214,0.218,0.224,0.234,0.247,0.262,0.276,0.287,0.292,0.29,0.279,0.259,0.231,0.199,0.171,0.154,0.151,0.155,0.156,0.148,0.131,0.114,0.107,0.115,0.134,0.157,0.177,0.191,0.198,0.204,0.21,0.217,0.226,0.236,0.246,0.255,0.263,0.269,0.275,0.28,0.285,0.287,0.283,0.266,0.234,0.191,0.148,0.113,0.093,0.092,0.113,0.154,0.204,0.246,0.266,0.266,0.255,0.242,0.23,0.213,0.19,0.162,0.137,0.126,0.135,0.168,0.221,0.28,0.326,0.345,0.337,0.316,0.293,0.272,0.247,0.21,0.164,0.123,0.102,0.112,0.147,0.193,0.232,0.254,0.259,0.256,0.248,0.234,0.211,0.184,0.162,0.158,0.178,0.216,0.257,0.281,0.281,0.256,0.215,0.169,0.129,0.1,0.083,0.075,0.073,0.081,0.103,0.141,0.187,0.231,0.262,0.275,0.271,0.255,0.232,0.206,0.182,0.16,0.145,0.14,0.146,0.16,0.174,0.182,0.183,0.177,0.171,0.166,0.164,0.161,0.158,0.153,0.148,0.147,0.148,0.149,0.147,0.141,0.134,0.127,0.124,0.12,0.113,0.1,0.085,0.074,0.075,0.092,0.123,0.163,0.2,0.225,0.238,0.242,0.241,0.238,0.228,0.207,0.178,0.151,0.143,0.159,0.189,0.21,0.208,0.183,0.149,0.119,0.101,0.091,0.087,0.087,0.092,0.105,0.128,0.158,0.188,0.211,0.225,0.229,0.226,0.219,0.202,0.173,0.138,0.105,0.088,0.094,0.121,0.156,0.189,0.209,0.215,0.213,0.203,0.189,0.168,0.145,0.124,0.108,0.099,0.098,0.105,0.118,0.135,0.153,0.172,0.19,0.206,0.218,0.218,0.202,0.172,0.14,0.12,0.124,0.147,0.177,0.2,0.21,0.209,0.205,0.202,0.203,0.205,0.207,0.206,0.202,0.198,0.195,0.195,0.199,0.205,0.211,0.217,0.224,0.231,0.24,0.248,0.252,0.249,0.238,0.221,0.203,0.186,0.175,0.168,0.164,0.161,0.16,0.159,0.16,0.163,0.166,0.17,0.175,0.181,0.187,0.192,0.195,0.196,0.195,0.194,0.193,0.192,0.191,0.192,0.195,0.202,0.215,0.232,0.248,0.255,0.247,0.223,0.192,0.164,0.145,0.138,0.139,0.146,0.157,0.174,0.202,0.241,0.283,0.313,0.318,0.291,0.24,0.181,0.132,0.105,0.101,0.113,0.131,0.147,0.158,0.165,0.17,0.174,0.175,0.169,0.159,0.149,0.152,0.174,0.216,0.267,0.309,0.331,0.337,0.341,0.354,0.37,0.377,0.364,0.333,0.296,0.268,0.253,0.241,0.222,0.196,0.174,0.169,0.182,0.204,0.218,0.219,0.208,0.194,0.183,0.177,0.177,0.179,0.183,0.187,0.193,0.201,0.209,0.218,0.227,0.234,0.233,0.221,0.194,0.158,0.122,0.093,0.077,0.074,0.084,0.106,0.135,0.164,0.188,0.202,0.212,0.221,0.233,0.245,0.25,0.243,0.223,0.195,0.17,0.155,0.152,0.156,0.157,0.157,0.164,0.188,0.226,0.263,0.28,0.272,0.246,0.221,0.208,0.208,0.215,0.218,0.212,0.2,0.188,0.179,0.171,0.16,0.141,0.117,0.096,0.083,0.08,0.086,0.097,0.108,0.118,0.126,0.131,0.134,0.136,0.135,0.134,0.133,0.136,0.145,0.159,0.174,0.186,0.192,0.192,0.187,0.178,0.168,0.158,0.151,0.147,0.147,0.151,0.161,0.176,0.195,0.211,0.22,0.223,0.222,0.221,0.219,0.212,0.195,0.168,0.135,0.109,0.096,0.101,0.118,0.14,0.158,0.167,0.168,0.164,0.156,0.15,0.147,0.148,0.151,0.155,0.163,0.173,0.186,0.197,0.205,0.21,0.212,0.214,0.215,0.212,0.201,0.182,0.164,0.157,0.172,0.204,0.24,0.26,0.255,0.227,0.187,0.148,0.118,0.101,0.096,0.102,0.118,0.143,0.172,0.196,0.209,0.21,0.201,0.187,0.172,0.157,0.14,0.12,0.099,0.082,0.077,0.085,0.103,0.123,0.137,0.143,0.142,0.138,0.133,0.128,0.122,0.115,0.108,0.104,0.107,0.117,0.134,0.152,0.162,0.159,0.144,0.126,0.114,0.11,0.111,0.111,0.109,0.11,0.119,0.138,0.159,0.174,0.177,0.17,0.158,0.147,0.139,0.132,0.125,0.122,0.129,0.155,0.202,0.263,0.32,0.356,0.365,0.354,0.339,0.33,0.331,0.332,0.322,0.299,0.278,0.284,0.334,0.415,0.489,0.516,0.485,0.413,0.332,0.265,0.224,0.205,0.2,0.201,0.204,0.209,0.221,0.241,0.267,0.292,0.307,0.305,0.285,0.254,0.216,0.179,0.149,0.13,0.124,0.136,0.173,0.231,0.296,0.347,0.367,0.355,0.323,0.289,0.261,0.243,0.234,0.231,0.234,0.244,0.265,0.296,0.33,0.357,0.368,0.363,0.349,0.332,0.318,0.306,0.292,0.275,0.257,0.252,0.275,0.323,0.376,0.407,0.401,0.366,0.323,0.288,0.265,0.25,0.237,0.223,0.211,0.207,0.218,0.244,0.277,0.309,0.334,0.35,0.356,0.352,0.334,0.298,0.247,0.193,0.154,0.148,0.182,0.249,0.325,0.382,0.406,0.4,0.376,0.347,0.321,0.296,0.273,0.252,0.235,0.224,0.221,0.228,0.243,0.259,0.266,0.261,0.256,0.269,0.303,0.339,0.351,0.326,0.276,0.234,0.231,0.274,0.343,0.403,0.425,0.399,0.335,0.258,0.191,0.147,0.125,0.118,0.122,0.143,0.187,0.257,0.34,0.413,0.46,0.479,0.48,0.474,0.467,0.452,0.418,0.36,0.29,0.231,0.202,0.205,0.223,0.238,0.237,0.225,0.209,0.195,0.186,0.181,0.18,0.181,0.187,0.2,0.222,0.25,0.279,0.304,0.317,0.316,0.302,0.278,0.251,0.227,0.207,0.195,0.199,0.226,0.277,0.337,0.384,0.4,0.38,0.336,0.284,0.237,0.201,0.173,0.152,0.137,0.131,0.138,0.158,0.185,0.21,0.226,0.228,0.216,0.198,0.182,0.173,0.172,0.174,0.176,0.18,0.192,0.214,0.241,0.264,0.274,0.27,0.256,0.239,0.225,0.218,0.217,0.215,0.212,0.209,0.213,0.23,0.256,0.283,0.301,0.31,0.311,0.307,0.296,0.272,0.233,0.188,0.156,0.152,0.18,0.226,0.272,0.303,0.316,0.315,0.307,0.3,0.294,0.288,0.28,0.27,0.262,0.263,0.28,0.316,0.367,0.42,0.455,0.455,0.414,0.343,0.261,0.19,0.142,0.119,0.121,0.147,0.188,0.229,0.257,0.265,0.264,0.265,0.275,0.289,0.297,0.29,0.271,0.259,0.276,0.331,0.41,0.485,0.531,0.539,0.51,0.454,0.38,0.299,0.224,0.165,0.134,0.135,0.167,0.218,0.266,0.295,0.294,0.272,0.241,0.216,0.199,0.191,0.188,0.19,0.2,0.23,0.283,0.35,0.409,0.44,0.436,0.411,0.385,0.372,0.373,0.382,0.385,0.375,0.35,0.319,0.296,0.289,0.296,0.306,0.312,0.309,0.3,0.289,0.276,0.262,0.247,0.229,0.21,0.194,0.182,0.175,0.171,0.166,0.157,0.148,0.145,0.155,0.176,0.197,0.203,0.188,0.16,0.136,0.134,0.159,0.197,0.229,0.239,0.228,0.206,0.182,0.165,0.155,0.15,0.148,0.146,0.144,0.144,0.147,0.154,0.16,0.164,0.164,0.161,0.155,0.148,0.141,0.136,0.133,0.131,0.137,0.155,0.188,0.225,0.253,0.26,0.246,0.222,0.197,0.178,0.167,0.163,0.161,0.161,0.163,0.167,0.174,0.184,0.192,0.196,0.196,0.194,0.191,0.189,0.183,0.172,0.156,0.146,0.157,0.192,0.243,0.283,0.297,0.282,0.253,0.222,0.199,0.181,0.168,0.156,0.143,0.13,0.12,0.12,0.13,0.144,0.152,0.152,0.143,0.133,0.127,0.122,0.116,0.105,0.091,0.082,0.091,0.118,0.156,0.189,0.204,0.201,0.187,0.171,0.159,0.15,0.144,0.138,0.134,0.133,0.139,0.152,0.167,0.18,0.184,0.179,0.165,0.148,0.133,0.129,0.141,0.163,0.19,0.221,0.259,0.303,0.342,0.355,0.334,0.287,0.232,0.185,0.154,0.136,0.126,0.12,0.119,0.127,0.148,0.18,0.212,0.229,0.223,0.198,0.163,0.128,0.1,0.079,0.065,0.063,0.082,0.129,0.203,0.283,0.344,0.366,0.347,0.301,0.248,0.202,0.169,0.15,0.139,0.135,0.137,0.15,0.174,0.205,0.229,0.232,0.211,0.176,0.139,0.113,0.101,0.102,0.115,0.139,0.176,0.227,0.289,0.349,0.393,0.411,0.4,0.367,0.322,0.278,0.242,0.219,0.207,0.203,0.206,0.217,0.24,0.278,0.325,0.371,0.406,0.422,0.423,0.414,0.395,0.361,0.311,0.255,0.211,0.199,0.224,0.269,0.307,0.318,0.297,0.26,0.219,0.186,0.162,0.146,0.137,0.134,0.14,0.156,0.186,0.225,0.264,0.294,0.311,0.318,0.321,0.318,0.304,0.274,0.231,0.186,0.159,0.163,0.195,0.237,0.268,0.274,0.256,0.224,0.189,0.158,0.137,0.126,0.122,0.123,0.127,0.137,0.151,0.167,0.178,0.181,0.176,0.17,0.164,0.16,0.158,0.155,0.154,0.158,0.179,0.218,0.271,0.314,0.33,0.309,0.264,0.216,0.176,0.15,0.133,0.122,0.117,0.119,0.131,0.156,0.191,0.229,0.259,0.279,0.29,0.294,0.294,0.287,0.273,0.252,0.231,0.217,0.22,0.245,0.281,0.307,0.306,0.278,0.238,0.201,0.176,0.165,0.166,0.174,0.185,0.197,0.209,0.222,0.233,0.242,0.248,0.251,0.251,0.248,0.245,0.242,0.239,0.231,0.219,0.213,0.226,0.26,0.302,0.328,0.324,0.295,0.254,0.215,0.184,0.163,0.15,0.145,0.145,0.152,0.165,0.184,0.209,0.238,0.266,0.289,0.301,0.299,0.287,0.269,0.248,0.23,0.221,0.229,0.257,0.294,0.319,0.316,0.282,0.233,0.185,0.148,0.124,0.109,0.098,0.094,0.103,0.128,0.167,0.209,0.24,0.253,0.25,0.242,0.236,0.236,0.24,0.24,0.232,0.216,0.201,0.201,0.224,0.262,0.294,0.308,0.302,0.287,0.27,0.251,0.227,0.196,0.164,0.14,0.133,0.151,0.19,0.239,0.28,0.299,0.293,0.269,0.237,0.207,0.187,0.182,0.189,0.201,0.214,0.232,0.259,0.29,0.311,0.311,0.289,0.258,0.23,0.213,0.206,0.206,0.21,0.215,0.223,0.238,0.262,0.291,0.317,0.331,0.329,0.308,0.27,0.219,0.164,0.116,0.084,0.074,0.089,0.132,0.193,0.256,0.296,0.304,0.288,0.267,0.253,0.249,0.252,0.259,0.265,0.272,0.28,0.291,0.303,0.309,0.304,0.289,0.271,0.257,0.249,0.245,0.24,0.227,0.207,0.185,0.178,0.196,0.236,0.276,0.291,0.274,0.237,0.204,0.191,0.198,0.214,0.226,0.23,0.228,0.229,0.236,0.25,0.265,0.277,0.284,0.287,0.288,0.286,0.279,0.263,0.241,0.219,0.212,0.23,0.27,0.313,0.338,0.333,0.307,0.273,0.242,0.216,0.194,0.174,0.16,0.15,0.146,0.147,0.151,0.154,0.152,0.144,0.136,0.138,0.155,0.182,0.205,0.209,0.192,0.171,0.17,0.201,0.254,0.302,0.323,0.311,0.279,0.244,0.217,0.2,0.19,0.184,0.177,0.171,0.169,0.175,0.191,0.211,0.228,0.232,0.221,0.197,0.169,0.145,0.13,0.12,0.111,0.108,0.12,0.151,0.192,0.225,0.241,0.239,0.226,0.207,0.183,0.153,0.121,0.092,0.072,0.066,0.077,0.103,0.139,0.173,0.197,0.21,0.215,0.216,0.219,0.223,0.227,0.231,0.236,0.249,0.278,0.321,0.359,0.37,0.343,0.286,0.223,0.172,0.142,0.126,0.119,0.116,0.119,0.132,0.156,0.186,0.214,0.232,0.239,0.238,0.234,0.229,0.224,0.22,0.217,0.216,0.223,0.246,0.286,0.33,0.356,0.352,0.321,0.281,0.245,0.214,0.186,0.155,0.125,0.102,0.097,0.115,0.156,0.208,0.252,0.273,0.265,0.239,0.209,0.184,0.17,0.165,0.167,0.175,0.195,0.23,0.278,0.328,0.366,0.381,0.374,0.353,0.329,0.306,0.286,0.268,0.253,0.241,0.238,0.251,0.284,0.332,0.384,0.422,0.433,0.41,0.358,0.291,0.225,0.172,0.14,0.127,0.134,0.162,0.215,0.284,0.349,0.387,0.385,0.348,0.295,0.245,0.208,0.189,0.182,0.185,0.194,0.213,0.242,0.277,0.309,0.332,0.343,0.344,0.336,0.317,0.285,0.242,0.193,0.154,0.145,0.181,0.263,0.367,0.457,0.504,0.5,0.457,0.399,0.344,0.301,0.272,0.255,0.246,0.246,0.256,0.276,0.301,0.325,0.342,0.352,0.357,0.359,0.36,0.354,0.338,0.307,0.265,0.23,0.228,0.272,0.352,0.439,0.503,0.529,0.522,0.495,0.46,0.424,0.385,0.34,0.293,0.252,0.231,0.238,0.268,0.307,0.343,0.372,0.393,0.404,0.401,0.383,0.357,0.33,0.309,0.302,0.319,0.365,0.429,0.487,0.508,0.481,0.42,0.35,0.296,0.266,0.25,0.235,0.215,0.198,0.201,0.233,0.29,0.353,0.405,0.437,0.455,0.462,0.459,0.439,0.399,0.341,0.277,0.224,0.205,0.236,0.316,0.418,0.503,0.538,0.517,0.458,0.385,0.314,0.249,0.196,0.156,0.135,0.138,0.167,0.218,0.277,0.325,0.342,0.322,0.276,0.227,0.195,0.182,0.178,0.175,0.184,0.225,0.307,0.415,0.515,0.573,0.577,0.535,0.471,0.406,0.354,0.315,0.286,0.263,0.247,0.241,0.246,0.262,0.284,0.307,0.326,0.336,0.331,0.312,0.283,0.252,0.227,0.214,0.221,0.26,0.331,0.421,0.498,0.532,0.516,0.462,0.396,0.335,0.29,0.259,0.238,0.222,0.205,0.188,0.174,0.163,0.152,0.136,0.116,0.1,0.102,0.133,0.188,0.248,0.283,0.283,0.265,0.266,0.312,0.401,0.498,0.562,0.57,0.53,0.466,0.408,0.37,0.347,0.324,0.298,0.275,0.271,0.292,0.331,0.37,0.392,0.39,0.367,0.339,0.316,0.3,0.28,0.25,0.22,0.215,0.26,0.352,0.462,0.546,0.572,0.537,0.463,0.382,0.318,0.284,0.28,0.295,0.317,0.335,0.346,0.353,0.356,0.352,0.335,0.302,0.257,0.211,0.175,0.155,0.148,0.157,0.189,0.257,0.362,0.477,0.565,0.593,0.56,0.486,0.4,0.322,0.259,0.214,0.185,0.17,0.17,0.184,0.209,0.242,0.274,0.296,0.306,0.303,0.291,0.271,0.241,0.202,0.161,0.137,0.153,0.22,0.326,0.431,0.495,0.498,0.453,0.391,0.339,0.304,0.284,0.268,0.253,0.238,0.227,0.219,0.212,0.202,0.187,0.172,0.167,0.188,0.242,0.316,0.385,0.419,0.407,0.363,0.326,0.324,0.367,0.428,0.469,0.463,0.411,0.338,0.273,0.229,0.204,0.192,0.189,0.206,0.259,0.352,0.469,0.578,0.651,0.678,0.664,0.623,0.569,0.512,0.455,0.393,0.328,0.274,0.254,0.288,0.365,0.45,0.505,0.507,0.462,0.393,0.328,0.281,0.256,0.248,0.248,0.253,0.264,0.28,0.297,0.305,0.295,0.267,0.229,0.192,0.164,0.149,0.144,0.145,0.159,0.196,0.266,0.366,0.47,0.544,0.567,0.542,0.487,0.426,0.371,0.322,0.276,0.236,0.211,0.211,0.24,0.289,0.343,0.38,0.386,0.358,0.305,0.248,0.209,0.196,0.205,0.223,0.243,0.271,0.32,0.394,0.478,0.54,0.553,0.515,0.447,0.376,0.321,0.282,0.256,0.242,0.244,0.27,0.319,0.379,0.429,0.449,0.435,0.397,0.354,0.325,0.306,0.289,0.259,0.225,0.207,0.231,0.302,0.397,0.478,0.515,0.506,0.467,0.419,0.372,0.326,0.282,0.242,0.211,0.194,0.189,0.193,0.2,0.204,0.202,0.194,0.184,0.177,0.176,0.177,0.179,0.181,0.186,0.204,0.249,0.329,0.431,0.526,0.579,0.573,0.518,0.44,0.364,0.305,0.266,0.244,0.235,0.231,0.231,0.236,0.243,0.251,0.254,0.25,0.24,0.227,0.217,0.209,0.205,0.202,0.202,0.212,0.247,0.317,0.418,0.526,0.606,0.639,0.628,0.594,0.56,0.534,0.52,0.514,0.513,0.513,0.513,0.512,0.511,0.512,0.512,0.509,0.5,0.487,0.472,0.456,0.433,0.397,0.346,0.292,0.258,0.267,0.326,0.413,0.494,0.534,0.523,0.469,0.394,0.317,0.254,0.211,0.187,0.177,0.181,0.203,0.25,0.316,0.385,0.436,0.457,0.452,0.436,0.421,0.414,0.411,0.407,0.398,0.393,0.402,0.439,0.498,0.559,0.587,0.565,0.5,0.419,0.344,0.288,0.249,0.225,0.213,0.211,0.219,0.235,0.256,0.275,0.283,0.273,0.246,0.211,0.179,0.153,0.131,0.11,0.093,0.092,0.127,0.212,0.336,0.462,0.544,0.56,0.515,0.435,0.343,0.259,0.19,0.144,0.12,0.12,0.143,0.187,0.244,0.3,0.341,0.358,0.355,0.341,0.323,0.303,0.277,0.239,0.194,0.159,0.158,0.208,0.298,0.392,0.447,0.446,0.401,0.34,0.286,0.242,0.209,0.185,0.175,0.18,0.205,0.246,0.297,0.345,0.376,0.385,0.375,0.355,0.333,0.31,0.28,0.243,0.208,0.197,0.234,0.321,0.433,0.527,0.569,0.553,0.496,0.426,0.361,0.311,0.277,0.256,0.242,0.233,0.231,0.237,0.25,0.266,0.276,0.277,0.269,0.257,0.249,0.245,0.244,0.244,0.249,0.277,0.343,0.445,0.55,0.614,0.609,0.545,0.452,0.362,0.287,0.229,0.188,0.164,0.162,0.186,0.237,0.304,0.368,0.412,0.427,0.415,0.386,0.35,0.319,0.294,0.269,0.239,0.209,0.203,0.245,0.339,0.454,0.548,0.593,0.59,0.557,0.509,0.454,0.393,0.331,0.272,0.223,0.191,0.18,0.19,0.212,0.237,0.254,0.259,0.256,0.25,0.245,0.24,0.232,0.219,0.203,0.194,0.212,0.267,0.354,0.438,0.489,0.493,0.464,0.419,0.372,0.325,0.28,0.24,0.205,0.177,0.157,0.147,0.145,0.152,0.169,0.197,0.238,0.286,0.336,0.373,0.389,0.375,0.338,0.29,0.245,0.212,0.193,0.184,0.181,0.18,0.178,0.175,0.175,0.177,0.183,0.189,0.19,0.187,0.181,0.177,0.176,0.176,0.177,0.176,0.173,0.167,0.159,0.15,0.145,0.145,0.15,0.159,0.169,0.176,0.181,0.184,0.186,0.188,0.19,0.194,0.201,0.208,0.214,0.218,0.222,0.226,0.228,0.227,0.221,0.209,0.192,0.171,0.147,0.125,0.108,0.096,0.091,0.088,0.086,0.082,0.078,0.075,0.074,0.076,0.08,0.085,0.09,0.096,0.102,0.109,0.117,0.125,0.133,0.141,0.15,0.161,0.173,0.186,0.198,0.208,0.217,0.227,0.238,0.251,0.263,0.273,0.282,0.291,0.301,0.312,0.32,0.323,0.323,0.322,0.322,0.323,0.324,0.323,0.322,0.324,0.327,0.329,0.328,0.327,0.327,0.332,0.342,0.359,0.381,0.408,0.435,0.463,0.489,0.51,0.52,0.521,0.513,0.496,0.464,0.416,0.354,0.291,0.238,0.199,0.171,0.149,0.128,0.107,0.089,0.074,0.062,0.053,0.044,0.037,0.032,0.03,0.028,0.027,0.025,0.022,0.02,0.017,0.016,0.015,0.014,0.013,0.012,0.012,0.011,0.01,0.01,0.009,0.008,0.008,0.007,0.007,0.007,0.007,0.007,0.007,0.006,0.006,0.005,0.005,0.004,0.004,0.004,0.004,0.004,0.004,0.004,0.004,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.002]