[0.05,0.06,0.079,0.098,0.111,0.118,0.123,0.127,0.131,0.134,0.134,0.132,0.128,0.123,0.12,0.117,0.115,0.115,0.117,0.121,0.127,0.133,0.137,0.135,0.128,0.121,0.116,0.116,0.118,0.12,0.119,0.117,0.113,0.11,0.109,0.111,0.119,0.136,0.162,0.191,0.216,0.233,0.245,0.255,0.263,0.267,0.267,0.266,0.265,0.265,0.263,0.258,0.246,0.225,0.198,0.169,0.144,0.127,0.117,0.116,0.119,0.126,0.133,0.138,0.137,0.132,0.124,0.117,0.112,0.112,0.116,0.122,0.127,0.127,0.123,0.116,0.11,0.107,0.104,0.102,0.1,0.098,0.097,0.097,0.099,0.103,0.109,0.12,0.14,0.168,0.2,0.232,0.258,0.276,0.288,0.295,0.298,0.298,0.3,0.306,0.319,0.337,0.356,0.366,0.362,0.342,0.313,0.284,0.263,0.251,0.246,0.244,0.242,0.243,0.245,0.249,0.254,0.259,0.265,0.271,0.275,0.272,0.262,0.248,0.234,0.225,0.221,0.224,0.227,0.225,0.217,0.203,0.189,0.178,0.169,0.163,0.156,0.148,0.138,0.13,0.131,0.148,0.18,0.218,0.25,0.266,0.267,0.258,0.249,0.25,0.262,0.277,0.287,0.286,0.275,0.261,0.25,0.243,0.235,0.222,0.204,0.186,0.172,0.165,0.16,0.155,0.145,0.131,0.118,0.11,0.108,0.111,0.114,0.112,0.106,0.099,0.095,0.095,0.098,0.099,0.099,0.102,0.112,0.126,0.133,0.124,0.101,0.075,0.058,0.056,0.07,0.095,0.126,0.157,0.184,0.208,0.231,0.252,0.273,0.302,0.346,0.402,0.449,0.463,0.438,0.39,0.344,0.315,0.306,0.306,0.307,0.304,0.297,0.287,0.276,0.259,0.233,0.196,0.159,0.139,0.144,0.172,0.211,0.251,0.282,0.3,0.3,0.285,0.261,0.242,0.236,0.243,0.257,0.27,0.274,0.273,0.269,0.27,0.275,0.284,0.287,0.277,0.254,0.226,0.2,0.182,0.174,0.177,0.192,0.221,0.267,0.327,0.389,0.43,0.437,0.413,0.375,0.338,0.31,0.292,0.284,0.286,0.292,0.294,0.289,0.272,0.244,0.215,0.197,0.196,0.208,0.219,0.221,0.215,0.21,0.214,0.226,0.239,0.244,0.237,0.221,0.206,0.199,0.201,0.206,0.21,0.209,0.211,0.217,0.225,0.224,0.21,0.187,0.172,0.176,0.199,0.228,0.249,0.26,0.271,0.3,0.352,0.413,0.451,0.446,0.402,0.347,0.304,0.282,0.276,0.279,0.284,0.287,0.285,0.274,0.251,0.219,0.183,0.154,0.143,0.153,0.179,0.207,0.228,0.239,0.245,0.249,0.253,0.253,0.247,0.235,0.223,0.215,0.213,0.217,0.226,0.239,0.256,0.269,0.272,0.259,0.236,0.212,0.203,0.211,0.23,0.246,0.256,0.264,0.28,0.314,0.364,0.417,0.446,0.434,0.383,0.321,0.274,0.256,0.259,0.269,0.279,0.286,0.29,0.29,0.283,0.265,0.24,0.217,0.209,0.217,0.233,0.243,0.242,0.23,0.215,0.208,0.215,0.232,0.252,0.27,0.283,0.292,0.297,0.296,0.291,0.282,0.276,0.271,0.267,0.263,0.257,0.251,0.246,0.242,0.24,0.24,0.245,0.256,0.276,0.311,0.362,0.416,0.446,0.434,0.381,0.312,0.255,0.223,0.212,0.217,0.23,0.25,0.273,0.295,0.309,0.313,0.308,0.303,0.301,0.304,0.308,0.307,0.3,0.289,0.277,0.266,0.258,0.254,0.249,0.248,0.26,0.292,0.335,0.362,0.351,0.307,0.255,0.223,0.219,0.229,0.24,0.246,0.251,0.256,0.263,0.268,0.269,0.269,0.275,0.296,0.335,0.383,0.412,0.407,0.368,0.318,0.279,0.262,0.259,0.257,0.248,0.234,0.222,0.22,0.225,0.227,0.221,0.211,0.205,0.212,0.228,0.244,0.254,0.256,0.255,0.257,0.261,0.265,0.265,0.26,0.251,0.237,0.219,0.2,0.188,0.186,0.194,0.207,0.224,0.246,0.271,0.299,0.325,0.344,0.352,0.352,0.348,0.347,0.358,0.389,0.438,0.491,0.526,0.529,0.503,0.466,0.434,0.414,0.403,0.397,0.393,0.39,0.386,0.377,0.362,0.342,0.323,0.313,0.313,0.32,0.325,0.323,0.315,0.306,0.298,0.296,0.305,0.332,0.377,0.435,0.489,0.524,0.534,0.517,0.479,0.434,0.396,0.375,0.364,0.353,0.337,0.319,0.309,0.308,0.313,0.315,0.313,0.309,0.312,0.337,0.383,0.439,0.476,0.477,0.444,0.403,0.372,0.359,0.357,0.357,0.355,0.352,0.347,0.342,0.335,0.326,0.318,0.313,0.311,0.311,0.312,0.313,0.313,0.312,0.31,0.309,0.312,0.32,0.334,0.355,0.389,0.435,0.48,0.504,0.494,0.459,0.419,0.392,0.386,0.398,0.424,0.457,0.484,0.491,0.478,0.46,0.455,0.466,0.488,0.509,0.523,0.527,0.516,0.489,0.454,0.426,0.411,0.407,0.405,0.402,0.398,0.394,0.388,0.379,0.365,0.349,0.334,0.323,0.317,0.313,0.309,0.305,0.301,0.297,0.296,0.302,0.321,0.356,0.403,0.454,0.496,0.521,0.524,0.503,0.464,0.419,0.385,0.367,0.359,0.348,0.328,0.305,0.288,0.282,0.284,0.288,0.291,0.292,0.302,0.329,0.376,0.43,0.465,0.466,0.437,0.402,0.376,0.364,0.36,0.357,0.354,0.351,0.349,0.347,0.342,0.335,0.327,0.321,0.317,0.315,0.316,0.32,0.325,0.327,0.322,0.315,0.31,0.311,0.321,0.346,0.386,0.439,0.487,0.511,0.502,0.467,0.429,0.407,0.405,0.421,0.449,0.483,0.51,0.519,0.511,0.496,0.488,0.491,0.502,0.517,0.532,0.541,0.534,0.508,0.471,0.44,0.424,0.421,0.419,0.411,0.395,0.377,0.361,0.347,0.335,0.323,0.316,0.315,0.315,0.309,0.294,0.276,0.267,0.269,0.277,0.284,0.293,0.315,0.357,0.416,0.472,0.509,0.516,0.496,0.459,0.418,0.388,0.371,0.361,0.348,0.33,0.312,0.299,0.295,0.296,0.298,0.299,0.301,0.314,0.347,0.397,0.447,0.472,0.464,0.433,0.402,0.382,0.377,0.378,0.378,0.376,0.372,0.366,0.359,0.348,0.336,0.324,0.318,0.319,0.323,0.324,0.319,0.308,0.296,0.286,0.283,0.289,0.304,0.328,0.365,0.418,0.478,0.529,0.547,0.53,0.491,0.455,0.434,0.43,0.442,0.469,0.501,0.519,0.508,0.473,0.435,0.415,0.418,0.439,0.468,0.499,0.52,0.519,0.494,0.455,0.42,0.396,0.384,0.378,0.373,0.366,0.358,0.347,0.333,0.317,0.303,0.292,0.286,0.284,0.281,0.275,0.267,0.26,0.257,0.262,0.275,0.301,0.342,0.398,0.457,0.507,0.535,0.539,0.517,0.477,0.431,0.396,0.376,0.363,0.347,0.325,0.304,0.29,0.285,0.285,0.283,0.279,0.279,0.293,0.332,0.388,0.441,0.463,0.449,0.411,0.374,0.352,0.344,0.342,0.338,0.331,0.326,0.322,0.317,0.309,0.298,0.287,0.279,0.274,0.271,0.271,0.272,0.273,0.274,0.273,0.273,0.277,0.286,0.305,0.338,0.388,0.445,0.49,0.502,0.478,0.432,0.385,0.341,0.294,0.239,0.187,0.153,0.151,0.173,0.206,0.234,0.252,0.264,0.284,0.322,0.376,0.428,0.457,0.454,0.431,0.408,0.389,0.374,0.36,0.349,0.345,0.343,0.334,0.306,0.261,0.211,0.174,0.163,0.177,0.206,0.237,0.259,0.267,0.264,0.257,0.253,0.255,0.258,0.256,0.248,0.239,0.236,0.237,0.24,0.244,0.255,0.272,0.291,0.306,0.326,0.359,0.406,0.444,0.457,0.447,0.438,0.449,0.481,0.515,0.537,0.541,0.523,0.482,0.427,0.375,0.342,0.329,0.328,0.33,0.334,0.34,0.345,0.342,0.326,0.298,0.266,0.241,0.227,0.224,0.23,0.24,0.247,0.244,0.233,0.218,0.211,0.216,0.232,0.248,0.26,0.267,0.269,0.268,0.264,0.257,0.248,0.244,0.25,0.275,0.322,0.382,0.436,0.46,0.449,0.42,0.405,0.421,0.461,0.501,0.527,0.533,0.519,0.486,0.439,0.393,0.361,0.348,0.345,0.347,0.351,0.358,0.363,0.36,0.345,0.319,0.295,0.281,0.281,0.293,0.308,0.323,0.336,0.341,0.337,0.322,0.295,0.259,0.22,0.184,0.158,0.143,0.139,0.143,0.148,0.152,0.157,0.17,0.193,0.221,0.246,0.262,0.273,0.282,0.293,0.302,0.305,0.304,0.308,0.33,0.375,0.43,0.463,0.456,0.411,0.354,0.308,0.281,0.265,0.251,0.234,0.218,0.208,0.209,0.216,0.223,0.224,0.223,0.224,0.233,0.249,0.264,0.272,0.273,0.271,0.269,0.269,0.266,0.26,0.25,0.239,0.227,0.215,0.205,0.202,0.21,0.225,0.241,0.254,0.269,0.288,0.311,0.331,0.344,0.344,0.333,0.314,0.301,0.306,0.34,0.4,0.47,0.525,0.553,0.556,0.548,0.537,0.526,0.507,0.48,0.446,0.415,0.389,0.369,0.351,0.333,0.315,0.299,0.29,0.286,0.285,0.286,0.285,0.284,0.284,0.287,0.297,0.323,0.37,0.433,0.495,0.54,0.556,0.543,0.507,0.463,0.426,0.402,0.388,0.375,0.359,0.34,0.323,0.309,0.297,0.285,0.274,0.27,0.282,0.32,0.382,0.448,0.487,0.488,0.459,0.424,0.399,0.388,0.381,0.375,0.368,0.362,0.357,0.349,0.335,0.319,0.304,0.293,0.287,0.282,0.279,0.28,0.283,0.286,0.289,0.293,0.3,0.314,0.338,0.375,0.423,0.473,0.513,0.528,0.515,0.486,0.456,0.436,0.431,0.44,0.463,0.494,0.515,0.516,0.5,0.487,0.492,0.515,0.542,0.561,0.568,0.561,0.539,0.505,0.466,0.433,0.411,0.395,0.382,0.37,0.361,0.354,0.346,0.333,0.315,0.297,0.289,0.294,0.311,0.333,0.35,0.356,0.349,0.334,0.317,0.311,0.322,0.354,0.402,0.454,0.497,0.522,0.527,0.513,0.484,0.452,0.425,0.407,0.391,0.371,0.347,0.325,0.309,0.298,0.288,0.278,0.269,0.269,0.289,0.334,0.396,0.449,0.471,0.459,0.431,0.407,0.396,0.393,0.389,0.382,0.372,0.363,0.355,0.346,0.334,0.321,0.309,0.301,0.295,0.29,0.287,0.285,0.285,0.287,0.294,0.305,0.321,0.34,0.367,0.405,0.453,0.5,0.53,0.532,0.508,0.474,0.448,0.436,0.439,0.456,0.486,0.519,0.536,0.532,0.515,0.507,0.519,0.548,0.578,0.597,0.599,0.581,0.547,0.502,0.46,0.431,0.418,0.415,0.414,0.41,0.401,0.39,0.378,0.365,0.352,0.339,0.333,0.33,0.322,0.301,0.273,0.25,0.245,0.256,0.269,0.28,0.298,0.337,0.398,0.465,0.517,0.539,0.531,0.5,0.46,0.428,0.409,0.397,0.384,0.364,0.343,0.326,0.316,0.311,0.306,0.301,0.3,0.313,0.348,0.404,0.464,0.501,0.5,0.469,0.43,0.4,0.383,0.376,0.372,0.37,0.37,0.367,0.358,0.343,0.323,0.305,0.295,0.294,0.3,0.309,0.318,0.326,0.335,0.345,0.354,0.362,0.369,0.382,0.407,0.448,0.497,0.536,0.55,0.534,0.5,0.468,0.45,0.447,0.459,0.482,0.507,0.518,0.504,0.474,0.452,0.456,0.483,0.517,0.543,0.554,0.549,0.528,0.494,0.455,0.423,0.403,0.393,0.387,0.381,0.371,0.36,0.347,0.334,0.32,0.307,0.297,0.291,0.288,0.283,0.277,0.269,0.263,0.261,0.266,0.28,0.309,0.354,0.412,0.471,0.517,0.54,0.539,0.516,0.48,0.444,0.416,0.399,0.386,0.373,0.358,0.348,0.342,0.341,0.338,0.332,0.325,0.328,0.354,0.406,0.471,0.522,0.535,0.51,0.468,0.431,0.409,0.398,0.391,0.383,0.374,0.364,0.352,0.337,0.32,0.306,0.298,0.294,0.291,0.287,0.283,0.283,0.287,0.294,0.303,0.312,0.324,0.345,0.38,0.43,0.489,0.539,0.56,0.543,0.498,0.445,0.402,0.37,0.34,0.309,0.281,0.261,0.25,0.247,0.25,0.257,0.268,0.281,0.304,0.34,0.391,0.438,0.47,0.477,0.47,0.459,0.453,0.452,0.455,0.461,0.463,0.45,0.412,0.352,0.287,0.238,0.218,0.222,0.236,0.248,0.253,0.252,0.248,0.247,0.252,0.261,0.269,0.271,0.271,0.273,0.277,0.281,0.279,0.273,0.269,0.277,0.294,0.312,0.321,0.316,0.3,0.28,0.263,0.252,0.247,0.247,0.255,0.278,0.327,0.4,0.482,0.544,0.57,0.561,0.537,0.515,0.502,0.496,0.497,0.505,0.515,0.51,0.475,0.407,0.322,0.245,0.195,0.177,0.184,0.204,0.225,0.236,0.24,0.243,0.255,0.277,0.3,0.314,0.317,0.312,0.305,0.3,0.297,0.293,0.289,0.289,0.295,0.308,0.321,0.326,0.319,0.303,0.281,0.256,0.232,0.214,0.211,0.235,0.286,0.352,0.403,0.415,0.382,0.322,0.267,0.233,0.223,0.226,0.233,0.237,0.241,0.246,0.252,0.257,0.261,0.262,0.264,0.266,0.269,0.269,0.268,0.266,0.266,0.27,0.277,0.286,0.292,0.295,0.292,0.286,0.279,0.271,0.264,0.258,0.253,0.248,0.242,0.239,0.241,0.248,0.259,0.271,0.278,0.279,0.274,0.269,0.274,0.3,0.351,0.411,0.449,0.443,0.396,0.332,0.279,0.248,0.235,0.231,0.23,0.23,0.234,0.238,0.242,0.243,0.243,0.245,0.251,0.258,0.263,0.261,0.256,0.259,0.284,0.335,0.398,0.44,0.439,0.394,0.33,0.272,0.231,0.206,0.193,0.196,0.225,0.286,0.37,0.445,0.484,0.48,0.45,0.417,0.391,0.37,0.35,0.337,0.342,0.374,0.429,0.49,0.533,0.547,0.535,0.511,0.486,0.464,0.446,0.434,0.427,0.423,0.418,0.406,0.385,0.361,0.342,0.332,0.33,0.33,0.329,0.325,0.323,0.326,0.335,0.349,0.373,0.412,0.464,0.524,0.575,0.608,0.615,0.597,0.561,0.52,0.488,0.466,0.447,0.426,0.4,0.374,0.352,0.337,0.326,0.318,0.315,0.324,0.355,0.407,0.469,0.515,0.525,0.501,0.462,0.427,0.407,0.397,0.391,0.388,0.385,0.382,0.374,0.359,0.338,0.319,0.308,0.305,0.305,0.303,0.297,0.291,0.29,0.293,0.301,0.314,0.335,0.368,0.413,0.469,0.524,0.565,0.58,0.567,0.536,0.505,0.483,0.473,0.471,0.481,0.5,0.52,0.527,0.521,0.511,0.516,0.539,0.569,0.587,0.59,0.582,0.569,0.555,0.539,0.525,0.514,0.506,0.497,0.485,0.469,0.453,0.434,0.411,0.38,0.349,0.326,0.319,0.328,0.346,0.366,0.381,0.385,0.375,0.357,0.341,0.337,0.357,0.404,0.468,0.532,0.578,0.594,0.581,0.547,0.507,0.475,0.455,0.444,0.434,0.422,0.406,0.391,0.377,0.363,0.349,0.336,0.331,0.342,0.375,0.424,0.473,0.5,0.501,0.486,0.474,0.473,0.478,0.481,0.478,0.47,0.46,0.45,0.438,0.42,0.4,0.382,0.367,0.355,0.342,0.329,0.317,0.311,0.31,0.314,0.325,0.342,0.369,0.406,0.451,0.502,0.547,0.573,0.572,0.55,0.52,0.498,0.488,0.49,0.505,0.531,0.563,0.583,0.586,0.575,0.568,0.576,0.594,0.611,0.619,0.619,0.611,0.596,0.576,0.556,0.54,0.53,0.521,0.515,0.51,0.505,0.495,0.474,0.439,0.396,0.356,0.33,0.317,0.309,0.294,0.271,0.252,0.247,0.255,0.267,0.276,0.293,0.332,0.398,0.476,0.543,0.58,0.583,0.561,0.529,0.5,0.482,0.471,0.459,0.442,0.423,0.406,0.393,0.383,0.372,0.359,0.347,0.346,0.367,0.411,0.465,0.505,0.515,0.5,0.476,0.455,0.441,0.429,0.417,0.409,0.406,0.405,0.402,0.391,0.377,0.364,0.359,0.359,0.36,0.356,0.349,0.342,0.339,0.34,0.345,0.353,0.368,0.395,0.438,0.491,0.542,0.576,0.583,0.564,0.53,0.5,0.484,0.483,0.496,0.518,0.541,0.55,0.539,0.522,0.517,0.533,0.563,0.588,0.601,0.603,0.598,0.586,0.564,0.538,0.515,0.501,0.494,0.489,0.48,0.468,0.453,0.434,0.411,0.385,0.36,0.343,0.334,0.33,0.326,0.32,0.312,0.306,0.305,0.31,0.325,0.352,0.393,0.446,0.501,0.546,0.572,0.575,0.559,0.532,0.508,0.493,0.482,0.468,0.447,0.422,0.399,0.382,0.37,0.359,0.348,0.34,0.34,0.359,0.4,0.452,0.49,0.496,0.471,0.437,0.413,0.405,0.407,0.412,0.415,0.416,0.413,0.407,0.397,0.385,0.374,0.367,0.36,0.352,0.339,0.325,0.315,0.309,0.307,0.308,0.314,0.331,0.365,0.417,0.482,0.545,0.588,0.597,0.575,0.541,0.512,0.497,0.495,0.502,0.518,0.537,0.548,0.542,0.523,0.51,0.518,0.545,0.577,0.6,0.614,0.619,0.617,0.604,0.581,0.556,0.535,0.52,0.509,0.501,0.493,0.481,0.462,0.432,0.393,0.35,0.309,0.282,0.272,0.275,0.283,0.286,0.282,0.276,0.276,0.29,0.325,0.382,0.455,0.529,0.586,0.617,0.619,0.597,0.563,0.528,0.502,0.484,0.465,0.439,0.406,0.373,0.345,0.322,0.299,0.276,0.261,0.264,0.296,0.355,0.426,0.484,0.514,0.516,0.504,0.493,0.488,0.485,0.482,0.479,0.475,0.47,0.458,0.44,0.417,0.396,0.381,0.37,0.361,0.351,0.341,0.329,0.318,0.309,0.306,0.312,0.33,0.364,0.415,0.476,0.538,0.584,0.6,0.584,0.552,0.522,0.507,0.507,0.517,0.537,0.56,0.579,0.581,0.57,0.557,0.559,0.575,0.599,0.62,0.636,0.645,0.643,0.627,0.601,0.576,0.558,0.547,0.538,0.53,0.522,0.514,0.501,0.477,0.44,0.394,0.351,0.32,0.304,0.3,0.3,0.295,0.283,0.27,0.263,0.27,0.297,0.348,0.419,0.496,0.562,0.605,0.617,0.604,0.577,0.55,0.533,0.523,0.512,0.493,0.464,0.43,0.396,0.363,0.336,0.315,0.302,0.303,0.327,0.378,0.445,0.505,0.535,0.537,0.525,0.518,0.518,0.52,0.518,0.513,0.509,0.503,0.491,0.472,0.447,0.423,0.406,0.394,0.385,0.371,0.353,0.332,0.313,0.3,0.29,0.282,0.272,0.26,0.251,0.246,0.247,0.249,0.246,0.238,0.232,0.236,0.251,0.268,0.277,0.273,0.259,0.242,0.23,0.224,0.221,0.217,0.211,0.212,0.238,0.303,0.402,0.507,0.591,0.64,0.665,0.682,0.697,0.707,0.705,0.691,0.667,0.633,0.586,0.528,0.463,0.402,0.349,0.304,0.266,0.233,0.206,0.186,0.173,0.167,0.171,0.193,0.244,0.33,0.439,0.543,0.617,0.652,0.655,0.647,0.641,0.639,0.63,0.604,0.564,0.521,0.481,0.446,0.41,0.373,0.335,0.297,0.269,0.263,0.294,0.36,0.439,0.504,0.541,0.556,0.563,0.571,0.578,0.581,0.581,0.576,0.564,0.545,0.517,0.485,0.453,0.428,0.407,0.389,0.369,0.348,0.325,0.301,0.277,0.253,0.236,0.24,0.28,0.363,0.476,0.585,0.658,0.685,0.679,0.666,0.664,0.671,0.678,0.68,0.681,0.68,0.678,0.67,0.662,0.662,0.672,0.681,0.672,0.626,0.539,0.421,0.299,0.197,0.131,0.096,0.082,0.077,0.076,0.077,0.082,0.089,0.099,0.11,0.119,0.122,0.118,0.11,0.106,0.108,0.116,0.126,0.131,0.132,0.129,0.126,0.124,0.121,0.115,0.106,0.098,0.091,0.089,0.091,0.099,0.11,0.123,0.134,0.144,0.149,0.152,0.15,0.147,0.142,0.138,0.135,0.136,0.142,0.151,0.161,0.166,0.164,0.155,0.142,0.129,0.122,0.12,0.124,0.13,0.136,0.141,0.143,0.143,0.14,0.135,0.129,0.122,0.117,0.115,0.118,0.124,0.128,0.129,0.126,0.121,0.115,0.109,0.102,0.094,0.086,0.078,0.072,0.067,0.063,0.06,0.056,0.053,0.049,0.047,0.044,0.042,0.04,0.038,0.037,0.035,0.033,0.031,0.028,0.024,0.019,0.014,0.009,0.005,0.003,0.001,0.001,0,0,0]