[0.029,0.038,0.057,0.077,0.092,0.098,0.098,0.093,0.085,0.077,0.071,0.071,0.077,0.091,0.108,0.125,0.137,0.143,0.144,0.14,0.135,0.128,0.123,0.122,0.125,0.132,0.138,0.141,0.138,0.132,0.126,0.123,0.124,0.126,0.126,0.122,0.117,0.116,0.123,0.138,0.158,0.177,0.189,0.196,0.198,0.199,0.201,0.203,0.202,0.195,0.184,0.171,0.164,0.167,0.181,0.202,0.221,0.232,0.236,0.237,0.237,0.238,0.233,0.222,0.204,0.185,0.168,0.153,0.141,0.13,0.12,0.114,0.112,0.115,0.119,0.121,0.117,0.108,0.096,0.084,0.072,0.064,0.061,0.066,0.081,0.103,0.125,0.139,0.139,0.13,0.119,0.113,0.113,0.117,0.12,0.121,0.117,0.113,0.11,0.108,0.108,0.109,0.11,0.115,0.122,0.132,0.146,0.167,0.199,0.241,0.281,0.308,0.315,0.303,0.283,0.262,0.245,0.234,0.234,0.249,0.278,0.318,0.361,0.4,0.426,0.431,0.415,0.389,0.364,0.349,0.343,0.339,0.333,0.324,0.315,0.309,0.304,0.3,0.294,0.283,0.267,0.246,0.224,0.203,0.188,0.182,0.183,0.188,0.195,0.204,0.215,0.225,0.229,0.224,0.211,0.195,0.182,0.172,0.162,0.15,0.135,0.121,0.118,0.13,0.155,0.183,0.206,0.223,0.237,0.245,0.246,0.243,0.243,0.251,0.263,0.271,0.269,0.261,0.253,0.25,0.258,0.282,0.32,0.364,0.399,0.412,0.405,0.386,0.367,0.35,0.333,0.318,0.306,0.3,0.297,0.291,0.277,0.254,0.224,0.195,0.176,0.173,0.191,0.223,0.259,0.288,0.303,0.302,0.289,0.27,0.252,0.239,0.23,0.221,0.21,0.194,0.174,0.155,0.14,0.133,0.135,0.145,0.162,0.183,0.211,0.239,0.258,0.26,0.242,0.21,0.18,0.165,0.171,0.191,0.218,0.243,0.261,0.271,0.275,0.273,0.273,0.282,0.308,0.346,0.381,0.395,0.38,0.344,0.304,0.272,0.256,0.254,0.26,0.267,0.271,0.27,0.266,0.259,0.249,0.237,0.222,0.205,0.188,0.174,0.171,0.182,0.204,0.226,0.237,0.233,0.22,0.206,0.201,0.204,0.213,0.221,0.224,0.222,0.216,0.206,0.192,0.177,0.163,0.156,0.16,0.173,0.192,0.214,0.238,0.261,0.277,0.282,0.276,0.266,0.258,0.256,0.258,0.26,0.261,0.261,0.265,0.279,0.308,0.35,0.393,0.415,0.405,0.365,0.309,0.254,0.207,0.172,0.149,0.14,0.146,0.166,0.192,0.214,0.227,0.231,0.234,0.24,0.254,0.27,0.285,0.293,0.294,0.288,0.281,0.276,0.276,0.277,0.273,0.262,0.247,0.231,0.218,0.208,0.201,0.198,0.2,0.203,0.205,0.206,0.211,0.225,0.245,0.261,0.264,0.255,0.239,0.226,0.218,0.213,0.21,0.207,0.208,0.212,0.219,0.23,0.247,0.276,0.319,0.374,0.432,0.479,0.505,0.508,0.495,0.477,0.459,0.439,0.417,0.396,0.385,0.389,0.4,0.409,0.412,0.411,0.405,0.391,0.36,0.315,0.266,0.23,0.213,0.215,0.226,0.235,0.239,0.237,0.231,0.224,0.22,0.222,0.232,0.249,0.27,0.29,0.306,0.318,0.326,0.328,0.325,0.318,0.312,0.309,0.313,0.319,0.322,0.314,0.299,0.284,0.279,0.29,0.317,0.35,0.379,0.396,0.402,0.402,0.404,0.41,0.422,0.434,0.441,0.44,0.435,0.433,0.438,0.448,0.457,0.463,0.464,0.461,0.45,0.432,0.411,0.391,0.373,0.351,0.32,0.281,0.241,0.21,0.19,0.18,0.177,0.18,0.191,0.212,0.238,0.262,0.278,0.284,0.286,0.29,0.299,0.31,0.313,0.306,0.292,0.283,0.286,0.3,0.312,0.311,0.295,0.267,0.236,0.212,0.2,0.201,0.211,0.224,0.237,0.249,0.26,0.271,0.288,0.313,0.348,0.385,0.415,0.425,0.411,0.374,0.326,0.278,0.238,0.208,0.19,0.184,0.191,0.207,0.224,0.235,0.234,0.224,0.215,0.211,0.216,0.226,0.237,0.245,0.248,0.245,0.236,0.224,0.214,0.21,0.209,0.211,0.213,0.213,0.213,0.214,0.217,0.221,0.224,0.224,0.219,0.209,0.202,0.203,0.213,0.224,0.229,0.225,0.213,0.201,0.192,0.189,0.19,0.191,0.188,0.184,0.183,0.194,0.222,0.264,0.311,0.354,0.386,0.401,0.397,0.372,0.335,0.298,0.269,0.248,0.229,0.207,0.182,0.161,0.15,0.153,0.171,0.197,0.222,0.241,0.249,0.249,0.246,0.244,0.245,0.249,0.255,0.262,0.271,0.281,0.292,0.301,0.305,0.299,0.286,0.267,0.249,0.236,0.228,0.224,0.223,0.226,0.233,0.246,0.257,0.262,0.256,0.245,0.234,0.23,0.232,0.235,0.234,0.23,0.232,0.241,0.253,0.262,0.266,0.273,0.294,0.33,0.372,0.405,0.42,0.416,0.406,0.403,0.414,0.43,0.44,0.429,0.397,0.355,0.322,0.312,0.327,0.355,0.371,0.362,0.332,0.3,0.286,0.299,0.332,0.367,0.387,0.383,0.364,0.347,0.345,0.363,0.391,0.414,0.42,0.406,0.383,0.367,0.369,0.388,0.409,0.412,0.386,0.34,0.297,0.28,0.296,0.335,0.371,0.39,0.388,0.38,0.374,0.375,0.379,0.382,0.378,0.366,0.35,0.344,0.354,0.379,0.408,0.427,0.426,0.402,0.364,0.329,0.313,0.324,0.352,0.375,0.375,0.349,0.313,0.288,0.293,0.326,0.367,0.392,0.384,0.352,0.316,0.3,0.315,0.352,0.387,0.397,0.375,0.336,0.306,0.302,0.324,0.35,0.358,0.34,0.307,0.281,0.279,0.301,0.334,0.354,0.35,0.329,0.309,0.308,0.326,0.356,0.376,0.375,0.348,0.311,0.279,0.27,0.285,0.314,0.339,0.347,0.336,0.317,0.309,0.321,0.349,0.376,0.385,0.37,0.339,0.304,0.276,0.258,0.246,0.24,0.237,0.237,0.238,0.241,0.244,0.247,0.248,0.248,0.25,0.253,0.256,0.256,0.252,0.244,0.237,0.231,0.228,0.227,0.228,0.237,0.256,0.281,0.305,0.32,0.322,0.314,0.302,0.295,0.299,0.314,0.335,0.354,0.366,0.367,0.356,0.334,0.312,0.298,0.3,0.312,0.324,0.325,0.313,0.293,0.273,0.267,0.281,0.318,0.367,0.418,0.459,0.481,0.484,0.468,0.444,0.423,0.412,0.411,0.418,0.434,0.459,0.49,0.513,0.512,0.484,0.442,0.408,0.395,0.403,0.423,0.444,0.459,0.468,0.471,0.47,0.465,0.458,0.454,0.455,0.463,0.475,0.482,0.476,0.454,0.426,0.403,0.395,0.402,0.42,0.443,0.467,0.488,0.503,0.504,0.49,0.465,0.441,0.423,0.414,0.412,0.416,0.425,0.434,0.438,0.436,0.427,0.414,0.403,0.402,0.416,0.443,0.472,0.489,0.487,0.47,0.447,0.429,0.419,0.42,0.431,0.453,0.479,0.5,0.507,0.498,0.477,0.456,0.44,0.43,0.424,0.421,0.421,0.424,0.429,0.43,0.427,0.42,0.414,0.415,0.428,0.45,0.472,0.482,0.471,0.444,0.416,0.398,0.393,0.399,0.411,0.426,0.444,0.459,0.46,0.448,0.426,0.406,0.39,0.381,0.38,0.389,0.409,0.433,0.448,0.442,0.417,0.384,0.361,0.356,0.372,0.401,0.43,0.446,0.442,0.422,0.399,0.383,0.378,0.381,0.392,0.411,0.437,0.462,0.469,0.453,0.419,0.385,0.368,0.37,0.385,0.403,0.422,0.441,0.46,0.476,0.486,0.492,0.5,0.513,0.53,0.547,0.554,0.545,0.519,0.485,0.452,0.428,0.409,0.396,0.392,0.406,0.438,0.479,0.508,0.514,0.495,0.461,0.427,0.399,0.384,0.382,0.395,0.419,0.444,0.455,0.446,0.419,0.39,0.374,0.375,0.385,0.391,0.381,0.351,0.309,0.266,0.232,0.21,0.199,0.197,0.201,0.208,0.215,0.219,0.217,0.211,0.204,0.198,0.193,0.191,0.19,0.189,0.189,0.189,0.189,0.188,0.187,0.187,0.188,0.188,0.187,0.183,0.175,0.163,0.146,0.127,0.113,0.11,0.119,0.134,0.144,0.14,0.124,0.101,0.086,0.085,0.099,0.118,0.133,0.136,0.131,0.121,0.112,0.105,0.099,0.092,0.083,0.077,0.082,0.113,0.177,0.258,0.327,0.354,0.336,0.298,0.274,0.285,0.324,0.363,0.381,0.373,0.353,0.341,0.351,0.379,0.412,0.432,0.423,0.387,0.341,0.309,0.306,0.332,0.366,0.383,0.369,0.332,0.292,0.276,0.289,0.324,0.353,0.356,0.331,0.299,0.284,0.3,0.339,0.378,0.394,0.38,0.348,0.32,0.315,0.34,0.383,0.423,0.438,0.424,0.394,0.372,0.374,0.398,0.43,0.449,0.44,0.408,0.37,0.355,0.374,0.42,0.464,0.485,0.477,0.456,0.442,0.444,0.458,0.466,0.457,0.427,0.387,0.355,0.347,0.364,0.395,0.413,0.399,0.349,0.284,0.237,0.231,0.266,0.32,0.361,0.369,0.347,0.315,0.3,0.314,0.353,0.395,0.418,0.412,0.39,0.371,0.37,0.387,0.408,0.417,0.402,0.37,0.336,0.32,0.333,0.367,0.396,0.395,0.355,0.293,0.241,0.227,0.256,0.305,0.341,0.339,0.304,0.259,0.238,0.257,0.312,0.377,0.423,0.439,0.435,0.43,0.436,0.451,0.465,0.466,0.451,0.428,0.409,0.406,0.42,0.443,0.458,0.455,0.435,0.416,0.411,0.426,0.451,0.47,0.47,0.448,0.416,0.389,0.381,0.396,0.426,0.449,0.446,0.413,0.362,0.312,0.278,0.258,0.246,0.234,0.222,0.214,0.215,0.223,0.232,0.235,0.226,0.205,0.178,0.152,0.134,0.126,0.124,0.124,0.124,0.124,0.125,0.127,0.129,0.13,0.132,0.136,0.143,0.152,0.163,0.172,0.179,0.184,0.188,0.19,0.189,0.188,0.185,0.182,0.18,0.179,0.179,0.177,0.174,0.168,0.161,0.156,0.153,0.153,0.154,0.153,0.15,0.148,0.147,0.15,0.155,0.16,0.162,0.16,0.154,0.148,0.144,0.144,0.146,0.151,0.16,0.173,0.189,0.203,0.209,0.203,0.188,0.172,0.164,0.163,0.168,0.176,0.19,0.212,0.237,0.252,0.252,0.247,0.257,0.299,0.371,0.446,0.497,0.511,0.5,0.484,0.483,0.495,0.511,0.518,0.514,0.508,0.507,0.517,0.536,0.557,0.566,0.554,0.517,0.469,0.426,0.408,0.419,0.446,0.47,0.478,0.469,0.457,0.458,0.476,0.505,0.526,0.528,0.505,0.475,0.455,0.457,0.477,0.5,0.515,0.518,0.515,0.514,0.52,0.531,0.544,0.549,0.541,0.523,0.503,0.487,0.48,0.483,0.49,0.496,0.496,0.491,0.488,0.49,0.497,0.501,0.493,0.469,0.436,0.405,0.39,0.396,0.42,0.45,0.472,0.48,0.477,0.475,0.484,0.503,0.526,0.536,0.525,0.493,0.45,0.413,0.402,0.422,0.463,0.497,0.504,0.483,0.454,0.441,0.454,0.482,0.506,0.508,0.485,0.45,0.421,0.415,0.433,0.466,0.492,0.497,0.481,0.459,0.444,0.445,0.458,0.468,0.466,0.45,0.431,0.421,0.426,0.441,0.456,0.46,0.45,0.43,0.41,0.401,0.407,0.426,0.442,0.446,0.431,0.409,0.394,0.396,0.415,0.444,0.471,0.487,0.49,0.486,0.48,0.476,0.476,0.474,0.465,0.449,0.433,0.43,0.445,0.475,0.506,0.522,0.514,0.487,0.455,0.434,0.435,0.452,0.47,0.471,0.447,0.409,0.376,0.367,0.386,0.418,0.446,0.456,0.45,0.439,0.437,0.444,0.457,0.463,0.458,0.444,0.43,0.424,0.431,0.447,0.466,0.474,0.463,0.436,0.406,0.39,0.398,0.424,0.451,0.459,0.436,0.392,0.347,0.327,0.342,0.383,0.424,0.442,0.432,0.408,0.392,0.399,0.427,0.457,0.471,0.46,0.433,0.407,0.4,0.415,0.442,0.46,0.455,0.427,0.392,0.371,0.379,0.412,0.45,0.469,0.457,0.423,0.389,0.373,0.382,0.407,0.43,0.436,0.425,0.408,0.399,0.408,0.433,0.458,0.467,0.454,0.429,0.411,0.412,0.433,0.459,0.473,0.465,0.439,0.409,0.393,0.399,0.417,0.43,0.423,0.396,0.363,0.339,0.337,0.356,0.382,0.401,0.403,0.395,0.388,0.396,0.417,0.445,0.464,0.467,0.453,0.436,0.427,0.432,0.447,0.46,0.461,0.446,0.421,0.4,0.394,0.408,0.435,0.459,0.466,0.455,0.434,0.42,0.421,0.438,0.458,0.468,0.459,0.438,0.415,0.402,0.406,0.422,0.436,0.438,0.424,0.402,0.387,0.388,0.407,0.432,0.449,0.443,0.417,0.383,0.365,0.373,0.403,0.436,0.453,0.445,0.423,0.403,0.403,0.422,0.445,0.455,0.447,0.43,0.415,0.416,0.432,0.459,0.481,0.483,0.461,0.427,0.401,0.397,0.415,0.439,0.446,0.425,0.385,0.346,0.334,0.356,0.401,0.443,0.464,0.459,0.442,0.428,0.429,0.447,0.47,0.482,0.47,0.436,0.398,0.381,0.397,0.436,0.474,0.488,0.473,0.444,0.421,0.421,0.444,0.474,0.49,0.475,0.437,0.396,0.377,0.389,0.419,0.441,0.436,0.406,0.373,0.361,0.381,0.426,0.47,0.494,0.488,0.462,0.435,0.423,0.434,0.459,0.478,0.474,0.445,0.408,0.388,0.395,0.423,0.451,0.465,0.462,0.456,0.456,0.469,0.489,0.504,0.506,0.492,0.47,0.451,0.445,0.454,0.471,0.483,0.486,0.482,0.479,0.482,0.49,0.498,0.501,0.495,0.481,0.464,0.452,0.453,0.466,0.484,0.495,0.495,0.484,0.471,0.466,0.472,0.483,0.489,0.48,0.45,0.409,0.37,0.355,0.367,0.401,0.437,0.459,0.465,0.462,0.46,0.464,0.473,0.482,0.484,0.472,0.452,0.433,0.427,0.44,0.465,0.485,0.489,0.475,0.455,0.444,0.448,0.463,0.475,0.472,0.452,0.427,0.41,0.414,0.437,0.464,0.48,0.477,0.461,0.445,0.44,0.447,0.462,0.476,0.478,0.461,0.434,0.411,0.406,0.423,0.45,0.469,0.47,0.457,0.444,0.447,0.472,0.512,0.551,0.569,0.557,0.521,0.483,0.467,0.483,0.52,0.55,0.551,0.517,0.47,0.438,0.442,0.48,0.528,0.557,0.553,0.523,0.491,0.479,0.494,0.526,0.554,0.561,0.545,0.519,0.503,0.507,0.529,0.551,0.558,0.54,0.508,0.478,0.469,0.484,0.514,0.539,0.542,0.522,0.492,0.474,0.48,0.507,0.536,0.547,0.528,0.489,0.451,0.437,0.457,0.501,0.544,0.562,0.55,0.522,0.499,0.494,0.505,0.513,0.5,0.455,0.387,0.309,0.238,0.183,0.146,0.123,0.109,0.1,0.092,0.085,0.079,0.075,0.072,0.07,0.071,0.071,0.072,0.072,0.072,0.072,0.073,0.079,0.096,0.125,0.163,0.204,0.244,0.278,0.301,0.308,0.297,0.275,0.248,0.224,0.205,0.188,0.171,0.155,0.14,0.128,0.12,0.115,0.113,0.114,0.12,0.13,0.141,0.149,0.152,0.152,0.152,0.155,0.166,0.186,0.212,0.237,0.254,0.257,0.247,0.227,0.202,0.178,0.163,0.161,0.169,0.176,0.173,0.155,0.128,0.104,0.089,0.085,0.086,0.086,0.079,0.068,0.057,0.05,0.048,0.049,0.05,0.048,0.042,0.036,0.034,0.041,0.054,0.066,0.07,0.065,0.054,0.043,0.036,0.033,0.031,0.03,0.028,0.027,0.032,0.049,0.085,0.141,0.203,0.258,0.294,0.314,0.325,0.338,0.358,0.384,0.413,0.44,0.464,0.489,0.52,0.556,0.589,0.603,0.591,0.554,0.508,0.476,0.473,0.499,0.537,0.56,0.547,0.498,0.437,0.402,0.414,0.466,0.527,0.565,0.566,0.538,0.506,0.492,0.507,0.539,0.561,0.548,0.495,0.425,0.376,0.378,0.432,0.505,0.557,0.563,0.532,0.491,0.47,0.485,0.525,0.567,0.585,0.572,0.54,0.513,0.512,0.537,0.569,0.579,0.555,0.508,0.465,0.455,0.483,0.53,0.567,0.571,0.546,0.512,0.494,0.504,0.534,0.565,0.58,0.578,0.566,0.558,0.561,0.576,0.6,0.627,0.65,0.663,0.662,0.648,0.623,0.595,0.567,0.542,0.527,0.526,0.54,0.565,0.593,0.612,0.621,0.618,0.613,0.61,0.616,0.627,0.64,0.645,0.636,0.611,0.577,0.545,0.527,0.529,0.549,0.579,0.61,0.633,0.643,0.639,0.624,0.604,0.583,0.564,0.551,0.546,0.55,0.559,0.569,0.572,0.567,0.554,0.541,0.532,0.536,0.553,0.578,0.599,0.604,0.594,0.576,0.56,0.553,0.557,0.57,0.587,0.603,0.615,0.618,0.61,0.594,0.576,0.559,0.545,0.538,0.537,0.543,0.552,0.562,0.568,0.568,0.564,0.558,0.555,0.56,0.573,0.59,0.6,0.596,0.581,0.563,0.549,0.542,0.543,0.549,0.562,0.581,0.601,0.614,0.613,0.596,0.572,0.548,0.531,0.524,0.528,0.539,0.551,0.561,0.568,0.573,0.576,0.578,0.578,0.582,0.59,0.601,0.607,0.603,0.584,0.554,0.524,0.502,0.497,0.509,0.537,0.571,0.602,0.618,0.618,0.606,0.592,0.583,0.581,0.589,0.604,0.622,0.636,0.641,0.634,0.622,0.612,0.608,0.614,0.627,0.641,0.651,0.65,0.638,0.616,0.594,0.577,0.568,0.569,0.577,0.59,0.604,0.615,0.618,0.616,0.61,0.605,0.599,0.593,0.59,0.594,0.608,0.631,0.653,0.666,0.666,0.659,0.65,0.643,0.63,0.604,0.561,0.51,0.464,0.432,0.415,0.406,0.399,0.388,0.375,0.362,0.35,0.34,0.33,0.317,0.3,0.281,0.263,0.247,0.235,0.227,0.222,0.219,0.22,0.224,0.233,0.246,0.263,0.277,0.284,0.283,0.274,0.259,0.239,0.213,0.186,0.163,0.152,0.157,0.173,0.187,0.186,0.166,0.136,0.111,0.104,0.118,0.139,0.154,0.155,0.146,0.135,0.127,0.124,0.121,0.116,0.108,0.104,0.122,0.177,0.275,0.395,0.501,0.558,0.558,0.521,0.484,0.475,0.501,0.541,0.57,0.567,0.532,0.48,0.442,0.44,0.477,0.523,0.542,0.517,0.462,0.412,0.4,0.434,0.49,0.535,0.546,0.526,0.493,0.476,0.487,0.519,0.547,0.548,0.52,0.481,0.459,0.47,0.51,0.554,0.58,0.578,0.553,0.521,0.507,0.524,0.568,0.611,0.627,0.602,0.549,0.502,0.488,0.516,0.566,0.604,0.601,0.555,0.492,0.453,0.463,0.517,0.58,0.618,0.617,0.593,0.573,0.577,0.605,0.636,0.651,0.641,0.615,0.592,0.592,0.615,0.647,0.661,0.635,0.565,0.47,0.392,0.367,0.407,0.485,0.554,0.571,0.532,0.464,0.415,0.416,0.466,0.535,0.587,0.606,0.6,0.592,0.597,0.617,0.638,0.645,0.632,0.607,0.587,0.586,0.603,0.625,0.629,0.598,0.525,0.431,0.35,0.321,0.358,0.435,0.505,0.522,0.48,0.41,0.362,0.369,0.429,0.502,0.551,0.559,0.541,0.524,0.531,0.564,0.603,0.624,0.611,0.571,0.529,0.509,0.522,0.559,0.594,0.608,0.595,0.568,0.548,0.55,0.576,0.609,0.63,0.622,0.59,0.55,0.526,0.527,0.548,0.567,0.563,0.525,0.461,0.39,0.329,0.288,0.261,0.241,0.224,0.214,0.217,0.23,0.246,0.253,0.247,0.227,0.199,0.171,0.152,0.148,0.156,0.169,0.18,0.186,0.186,0.185,0.186,0.193,0.208,0.227,0.245,0.256,0.258,0.252,0.243,0.232,0.221,0.211,0.203,0.2,0.201,0.204,0.206,0.206,0.203,0.198,0.194,0.19,0.189,0.188,0.188,0.189,0.19,0.19,0.19,0.189,0.189,0.194,0.204,0.22,0.238,0.252,0.258,0.256,0.25,0.241,0.231,0.223,0.216,0.211,0.208,0.206,0.202,0.196,0.186,0.175,0.167,0.163,0.162,0.16,0.157,0.156,0.161,0.173,0.183,0.188,0.189,0.194,0.215,0.254,0.301,0.339,0.359,0.358,0.343,0.323,0.302,0.281,0.262,0.243,0.224,0.206,0.19,0.176,0.164,0.153,0.142,0.131,0.121,0.112,0.105,0.101,0.099,0.098,0.098,0.098,0.097,0.096,0.095,0.095,0.097,0.102,0.106,0.109]