[0.134,0.148,0.175,0.202,0.223,0.239,0.256,0.272,0.284,0.286,0.283,0.275,0.266,0.258,0.253,0.251,0.252,0.254,0.257,0.261,0.268,0.277,0.287,0.296,0.302,0.306,0.312,0.323,0.338,0.347,0.345,0.332,0.318,0.308,0.306,0.309,0.311,0.306,0.29,0.259,0.215,0.168,0.137,0.137,0.172,0.229,0.287,0.33,0.35,0.353,0.346,0.334,0.322,0.31,0.298,0.287,0.276,0.266,0.26,0.264,0.279,0.3,0.313,0.308,0.285,0.258,0.239,0.233,0.238,0.246,0.255,0.262,0.268,0.268,0.264,0.258,0.254,0.257,0.267,0.278,0.285,0.286,0.286,0.289,0.295,0.3,0.299,0.292,0.281,0.274,0.274,0.283,0.298,0.316,0.334,0.348,0.356,0.356,0.351,0.345,0.341,0.339,0.337,0.334,0.326,0.314,0.301,0.293,0.296,0.307,0.321,0.33,0.329,0.32,0.309,0.304,0.312,0.326,0.334,0.326,0.306,0.283,0.266,0.259,0.26,0.263,0.263,0.255,0.238,0.215,0.196,0.194,0.215,0.254,0.293,0.318,0.321,0.306,0.283,0.259,0.236,0.217,0.201,0.188,0.179,0.172,0.167,0.163,0.164,0.168,0.173,0.175,0.169,0.158,0.145,0.135,0.127,0.122,0.118,0.115,0.111,0.107,0.103,0.098,0.093,0.088,0.082,0.077,0.071,0.069,0.077,0.101,0.146,0.207,0.27,0.319,0.347,0.357,0.355,0.343,0.32,0.289,0.263,0.261,0.29,0.333,0.367,0.375,0.36,0.337,0.321,0.317,0.324,0.336,0.345,0.347,0.344,0.342,0.345,0.352,0.358,0.354,0.339,0.316,0.296,0.291,0.305,0.329,0.353,0.368,0.375,0.378,0.381,0.383,0.384,0.384,0.38,0.371,0.353,0.327,0.303,0.292,0.302,0.329,0.351,0.352,0.325,0.282,0.237,0.197,0.164,0.137,0.117,0.104,0.097,0.091,0.085,0.079,0.075,0.076,0.081,0.086,0.089,0.088,0.085,0.08,0.075,0.071,0.069,0.071,0.076,0.083,0.086,0.082,0.071,0.059,0.048,0.042,0.042,0.05,0.074,0.124,0.205,0.309,0.412,0.494,0.539,0.553,0.547,0.532,0.511,0.484,0.452,0.417,0.385,0.355,0.327,0.298,0.274,0.258,0.25,0.249,0.256,0.278,0.317,0.359,0.379,0.363,0.321,0.288,0.292,0.335,0.398,0.453,0.487,0.501,0.5,0.481,0.44,0.382,0.317,0.259,0.214,0.183,0.162,0.151,0.146,0.144,0.138,0.129,0.122,0.126,0.139,0.157,0.171,0.179,0.188,0.205,0.233,0.268,0.297,0.31,0.309,0.298,0.285,0.276,0.277,0.293,0.329,0.384,0.445,0.497,0.531,0.546,0.549,0.542,0.526,0.498,0.465,0.432,0.406,0.387,0.373,0.362,0.355,0.348,0.341,0.334,0.336,0.355,0.392,0.434,0.462,0.464,0.44,0.398,0.349,0.3,0.253,0.215,0.193,0.193,0.211,0.236,0.255,0.261,0.261,0.262,0.269,0.288,0.319,0.362,0.412,0.459,0.491,0.505,0.5,0.482,0.452,0.415,0.384,0.372,0.392,0.429,0.46,0.459,0.419,0.354,0.287,0.239,0.226,0.25,0.305,0.369,0.421,0.442,0.433,0.405,0.369,0.327,0.281,0.234,0.195,0.174,0.175,0.196,0.229,0.256,0.266,0.259,0.247,0.242,0.243,0.245,0.242,0.238,0.234,0.226,0.211,0.19,0.171,0.166,0.176,0.193,0.208,0.212,0.207,0.197,0.186,0.176,0.166,0.155,0.142,0.131,0.121,0.118,0.131,0.171,0.247,0.347,0.442,0.497,0.495,0.44,0.364,0.305,0.288,0.31,0.346,0.364,0.35,0.311,0.262,0.213,0.171,0.137,0.109,0.088,0.074,0.065,0.059,0.055,0.051,0.047,0.044,0.042,0.043,0.049,0.062,0.089,0.132,0.19,0.248,0.285,0.288,0.261,0.225,0.201,0.202,0.228,0.267,0.305,0.325,0.32,0.294,0.257,0.227,0.215,0.223,0.236,0.241,0.231,0.213,0.197,0.19,0.192,0.196,0.196,0.19,0.177,0.161,0.146,0.139,0.147,0.175,0.218,0.26,0.288,0.298,0.304,0.319,0.343,0.366,0.376,0.373,0.363,0.349,0.327,0.289,0.237,0.184,0.143,0.121,0.115,0.122,0.138,0.165,0.199,0.231,0.254,0.267,0.281,0.3,0.319,0.326,0.318,0.308,0.317,0.351,0.399,0.44,0.453,0.437,0.401,0.359,0.325,0.302,0.29,0.281,0.269,0.249,0.23,0.221,0.235,0.267,0.303,0.326,0.333,0.335,0.349,0.384,0.428,0.465,0.482,0.481,0.471,0.462,0.451,0.434,0.411,0.39,0.375,0.362,0.346,0.325,0.309,0.311,0.33,0.358,0.382,0.401,0.42,0.444,0.469,0.485,0.484,0.47,0.448,0.426,0.404,0.381,0.354,0.319,0.275,0.231,0.201,0.198,0.229,0.285,0.348,0.399,0.428,0.436,0.43,0.415,0.396,0.378,0.363,0.354,0.351,0.354,0.361,0.375,0.399,0.432,0.467,0.493,0.498,0.477,0.435,0.386,0.348,0.335,0.35,0.38,0.411,0.431,0.437,0.432,0.426,0.426,0.436,0.453,0.469,0.478,0.476,0.464,0.446,0.426,0.411,0.405,0.406,0.407,0.402,0.39,0.379,0.381,0.402,0.434,0.462,0.474,0.474,0.467,0.461,0.453,0.441,0.427,0.416,0.412,0.409,0.399,0.379,0.359,0.35,0.358,0.373,0.388,0.404,0.431,0.472,0.515,0.536,0.52,0.474,0.414,0.359,0.321,0.3,0.288,0.278,0.26,0.234,0.21,0.203,0.226,0.274,0.332,0.379,0.4,0.396,0.378,0.358,0.344,0.338,0.338,0.345,0.359,0.375,0.39,0.396,0.397,0.397,0.401,0.406,0.405,0.401,0.399,0.402,0.405,0.401,0.391,0.383,0.391,0.412,0.431,0.432,0.409,0.372,0.338,0.324,0.336,0.369,0.407,0.432,0.431,0.402,0.357,0.32,0.308,0.324,0.352,0.369,0.361,0.334,0.299,0.268,0.247,0.24,0.255,0.292,0.342,0.386,0.412,0.414,0.401,0.381,0.36,0.343,0.333,0.336,0.355,0.384,0.41,0.423,0.422,0.417,0.416,0.419,0.421,0.412,0.389,0.357,0.326,0.304,0.293,0.29,0.288,0.282,0.269,0.254,0.247,0.258,0.289,0.332,0.371,0.39,0.384,0.36,0.33,0.305,0.289,0.285,0.292,0.31,0.332,0.345,0.345,0.341,0.35,0.381,0.427,0.467,0.484,0.477,0.458,0.441,0.431,0.427,0.429,0.438,0.452,0.464,0.467,0.458,0.443,0.435,0.441,0.455,0.47,0.477,0.478,0.474,0.47,0.465,0.461,0.455,0.443,0.421,0.391,0.36,0.342,0.347,0.378,0.426,0.474,0.511,0.529,0.53,0.517,0.494,0.468,0.444,0.427,0.415,0.404,0.386,0.364,0.347,0.346,0.362,0.389,0.415,0.436,0.455,0.473,0.487,0.494,0.49,0.479,0.468,0.461,0.457,0.455,0.454,0.452,0.451,0.449,0.446,0.445,0.447,0.454,0.462,0.467,0.467,0.459,0.447,0.433,0.422,0.414,0.407,0.399,0.39,0.38,0.37,0.363,0.359,0.36,0.364,0.367,0.364,0.359,0.355,0.355,0.354,0.348,0.34,0.342,0.366,0.409,0.454,0.483,0.486,0.467,0.436,0.405,0.378,0.357,0.338,0.316,0.286,0.254,0.23,0.225,0.242,0.273,0.303,0.32,0.33,0.346,0.383,0.437,0.489,0.523,0.532,0.522,0.5,0.471,0.435,0.399,0.373,0.364,0.365,0.363,0.35,0.334,0.327,0.339,0.363,0.39,0.407,0.417,0.42,0.418,0.408,0.389,0.367,0.349,0.341,0.341,0.347,0.354,0.355,0.347,0.327,0.302,0.284,0.283,0.302,0.334,0.362,0.375,0.368,0.351,0.334,0.32,0.31,0.301,0.29,0.277,0.264,0.255,0.25,0.256,0.273,0.298,0.321,0.335,0.34,0.341,0.339,0.334,0.332,0.339,0.359,0.39,0.422,0.444,0.451,0.446,0.43,0.405,0.371,0.327,0.279,0.237,0.204,0.182,0.167,0.162,0.17,0.196,0.237,0.284,0.325,0.351,0.364,0.369,0.373,0.372,0.361,0.336,0.303,0.269,0.243,0.223,0.21,0.207,0.223,0.257,0.299,0.335,0.355,0.361,0.356,0.344,0.329,0.316,0.309,0.311,0.317,0.318,0.312,0.3,0.291,0.291,0.3,0.311,0.316,0.317,0.318,0.32,0.318,0.312,0.303,0.302,0.315,0.334,0.346,0.344,0.335,0.333,0.35,0.381,0.414,0.437,0.447,0.448,0.447,0.445,0.443,0.439,0.431,0.421,0.409,0.395,0.378,0.356,0.332,0.312,0.302,0.307,0.33,0.368,0.412,0.444,0.453,0.438,0.409,0.378,0.354,0.339,0.334,0.34,0.356,0.372,0.379,0.373,0.363,0.361,0.373,0.392,0.407,0.414,0.42,0.432,0.451,0.469,0.475,0.467,0.451,0.435,0.423,0.414,0.408,0.407,0.411,0.414,0.402,0.37,0.323,0.282,0.263,0.271,0.295,0.32,0.343,0.37,0.406,0.442,0.465,0.468,0.455,0.434,0.414,0.398,0.391,0.393,0.4,0.405,0.399,0.388,0.383,0.394,0.412,0.424,0.424,0.415,0.412,0.419,0.432,0.433,0.419,0.393,0.367,0.347,0.334,0.326,0.325,0.337,0.36,0.386,0.402,0.4,0.382,0.359,0.341,0.33,0.326,0.332,0.351,0.383,0.421,0.447,0.452,0.437,0.414,0.394,0.387,0.391,0.404,0.422,0.437,0.439,0.42,0.385,0.348,0.324,0.318,0.326,0.339,0.354,0.375,0.402,0.431,0.447,0.442,0.419,0.39,0.366,0.355,0.359,0.375,0.396,0.411,0.404,0.371,0.324,0.287,0.283,0.314,0.362,0.404,0.43,0.443,0.448,0.441,0.416,0.375,0.332,0.298,0.279,0.271,0.271,0.282,0.303,0.326,0.332,0.316,0.286,0.265,0.267,0.293,0.327,0.356,0.377,0.391,0.398,0.389,0.359,0.315,0.272,0.241,0.222,0.211,0.207,0.212,0.225,0.238,0.239,0.224,0.208,0.215,0.259,0.331,0.407,0.466,0.498,0.513,0.523,0.532,0.534,0.524,0.502,0.473,0.441,0.411,0.388,0.383,0.392,0.403,0.393,0.351,0.287,0.23,0.198,0.193,0.203,0.222,0.255,0.313,0.393,0.472,0.529,0.552,0.55,0.536,0.518,0.5,0.485,0.481,0.489,0.501,0.504,0.49,0.463,0.435,0.417,0.413,0.415,0.421,0.434,0.456,0.48,0.489,0.475,0.44,0.403,0.375,0.36,0.355,0.36,0.376,0.395,0.403,0.382,0.336,0.287,0.266,0.284,0.33,0.379,0.419,0.448,0.469,0.477,0.46,0.419,0.37,0.334,0.316,0.309,0.304,0.306,0.331,0.381,0.443,0.492,0.513,0.506,0.484,0.45,0.411,0.375,0.362,0.384,0.435,0.488,0.522,0.529,0.518,0.499,0.48,0.465,0.454,0.452,0.458,0.46,0.441,0.392,0.326,0.275,0.262,0.284,0.318,0.339,0.346,0.36,0.397,0.453,0.506,0.538,0.546,0.539,0.527,0.514,0.503,0.5,0.504,0.511,0.507,0.485,0.449,0.416,0.403,0.413,0.435,0.453,0.465,0.476,0.492,0.503,0.499,0.476,0.445,0.418,0.402,0.398,0.405,0.423,0.444,0.453,0.435,0.394,0.349,0.328,0.338,0.371,0.406,0.435,0.463,0.495,0.523,0.53,0.509,0.464,0.416,0.38,0.36,0.35,0.35,0.365,0.396,0.437,0.474,0.497,0.504,0.502,0.495,0.487,0.485,0.497,0.527,0.563,0.582,0.564,0.515,0.463,0.433,0.431,0.447,0.467,0.484,0.501,0.518,0.532,0.534,0.524,0.508,0.497,0.495,0.502,0.515,0.534,0.557,0.579,0.588,0.576,0.546,0.509,0.478,0.453,0.431,0.413,0.403,0.407,0.424,0.44,0.437,0.411,0.375,0.354,0.36,0.391,0.432,0.471,0.504,0.525,0.53,0.513,0.479,0.443,0.415,0.399,0.392,0.393,0.405,0.425,0.44,0.427,0.378,0.308,0.25,0.232,0.257,0.305,0.357,0.407,0.453,0.49,0.504,0.486,0.446,0.404,0.379,0.377,0.395,0.429,0.47,0.505,0.521,0.509,0.474,0.428,0.386,0.355,0.331,0.305,0.28,0.271,0.293,0.344,0.396,0.423,0.415,0.386,0.357,0.339,0.334,0.34,0.358,0.382,0.396,0.381,0.337,0.284,0.257,0.275,0.327,0.391,0.447,0.49,0.522,0.54,0.535,0.508,0.465,0.424,0.396,0.388,0.398,0.42,0.447,0.466,0.464,0.429,0.369,0.309,0.28,0.29,0.324,0.361,0.391,0.42,0.449,0.469,0.468,0.448,0.426,0.422,0.437,0.452,0.452,0.441,0.435,0.444,0.459,0.462,0.45,0.437,0.443,0.47,0.503,0.525,0.531,0.529,0.526,0.522,0.506,0.472,0.421,0.364,0.308,0.262,0.228,0.214,0.22,0.244,0.271,0.29,0.3,0.309,0.323,0.339,0.347,0.343,0.34,0.354,0.39,0.436,0.471,0.479,0.461,0.426,0.39,0.364,0.359,0.38,0.415,0.443,0.442,0.411,0.368,0.343,0.346,0.366,0.384,0.393,0.405,0.428,0.464,0.498,0.518,0.52,0.509,0.492,0.475,0.458,0.444,0.438,0.441,0.444,0.434,0.409,0.375,0.351,0.345,0.355,0.369,0.382,0.398,0.417,0.436,0.442,0.429,0.408,0.396,0.404,0.426,0.452,0.474,0.492,0.501,0.497,0.469,0.427,0.39,0.378,0.397,0.43,0.46,0.481,0.497,0.514,0.526,0.524,0.508,0.485,0.464,0.448,0.434,0.424,0.426,0.442,0.468,0.489,0.489,0.463,0.418,0.366,0.323,0.302,0.311,0.349,0.404,0.452,0.473,0.462,0.429,0.401,0.396,0.418,0.454,0.489,0.513,0.525,0.525,0.516,0.499,0.479,0.46,0.441,0.418,0.39,0.367,0.36,0.38,0.422,0.467,0.497,0.504,0.499,0.495,0.496,0.495,0.489,0.481,0.475,0.47,0.453,0.418,0.376,0.35,0.352,0.376,0.403,0.425,0.443,0.462,0.479,0.486,0.481,0.472,0.47,0.476,0.484,0.489,0.492,0.494,0.489,0.464,0.418,0.361,0.318,0.306,0.326,0.363,0.401,0.433,0.459,0.477,0.479,0.462,0.432,0.402,0.382,0.371,0.365,0.362,0.369,0.391,0.425,0.456,0.472,0.468,0.457,0.449,0.444,0.435,0.423,0.416,0.422,0.438,0.446,0.433,0.399,0.36,0.337,0.337,0.359,0.397,0.442,0.481,0.499,0.48,0.431,0.374,0.337,0.335,0.359,0.387,0.407,0.422,0.438,0.451,0.446,0.421,0.39,0.376,0.386,0.409,0.43,0.442,0.449,0.454,0.453,0.439,0.415,0.392,0.387,0.399,0.418,0.433,0.441,0.451,0.467,0.482,0.485,0.47,0.445,0.424,0.415,0.417,0.422,0.431,0.443,0.453,0.45,0.422,0.375,0.335,0.323,0.347,0.389,0.428,0.456,0.475,0.49,0.493,0.478,0.45,0.427,0.42,0.425,0.426,0.417,0.409,0.418,0.447,0.48,0.497,0.489,0.463,0.438,0.428,0.435,0.454,0.481,0.512,0.544,0.566,0.574,0.565,0.551,0.543,0.545,0.553,0.561,0.565,0.567,0.563,0.549,0.523,0.492,0.466,0.452,0.446,0.445,0.446,0.454,0.474,0.501,0.525,0.537,0.536,0.528,0.519,0.511,0.502,0.493,0.485,0.48,0.472,0.449,0.408,0.362,0.336,0.343,0.375,0.415,0.448,0.476,0.502,0.527,0.543,0.546,0.537,0.524,0.51,0.5,0.494,0.495,0.506,0.524,0.538,0.539,0.525,0.505,0.493,0.491,0.498,0.509,0.52,0.534,0.548,0.555,0.544,0.513,0.468,0.422,0.386,0.364,0.357,0.366,0.39,0.417,0.431,0.417,0.383,0.353,0.348,0.367,0.391,0.404,0.409,0.421,0.448,0.484,0.513,0.525,0.518,0.504,0.49,0.484,0.485,0.493,0.503,0.503,0.481,0.437,0.389,0.36,0.364,0.391,0.422,0.444,0.46,0.477,0.498,0.515,0.521,0.513,0.499,0.484,0.475,0.47,0.47,0.476,0.487,0.493,0.48,0.441,0.385,0.335,0.311,0.318,0.345,0.379,0.41,0.438,0.465,0.493,0.522,0.553,0.58,0.594,0.589,0.569,0.545,0.528,0.518,0.503,0.467,0.408,0.344,0.302,0.296,0.323,0.362,0.399,0.431,0.46,0.481,0.482,0.459,0.422,0.392,0.38,0.384,0.395,0.41,0.429,0.45,0.468,0.472,0.46,0.439,0.42,0.407,0.399,0.4,0.414,0.443,0.48,0.512,0.526,0.52,0.5,0.479,0.46,0.44,0.418,0.394,0.368,0.337,0.301,0.267,0.246,0.252,0.287,0.345,0.407,0.451,0.465,0.454,0.433,0.416,0.408,0.398,0.38,0.357,0.335,0.318,0.302,0.292,0.298,0.331,0.387,0.449,0.496,0.52,0.524,0.513,0.495,0.47,0.444,0.416,0.386,0.351,0.311,0.27,0.235,0.208,0.189,0.176,0.166,0.163,0.169,0.184,0.205,0.222,0.232,0.234,0.235,0.239,0.246,0.253,0.256,0.257,0.258,0.259,0.259,0.257,0.257,0.262,0.275,0.293,0.312,0.333,0.354,0.369,0.366,0.34,0.298,0.26,0.244,0.254,0.273,0.281,0.273,0.27,0.295,0.354,0.421,0.469,0.484,0.478,0.466,0.458,0.457,0.463,0.474,0.482,0.48,0.461,0.432,0.407,0.402,0.416,0.44,0.463,0.48,0.497,0.516,0.534,0.54,0.529,0.503,0.474,0.451,0.438,0.436,0.443,0.458,0.475,0.483,0.466,0.424,0.368,0.323,0.306,0.316,0.341,0.367,0.394,0.426,0.458,0.482,0.489,0.484,0.476,0.471,0.471,0.472,0.476,0.485,0.494,0.495,0.477,0.441,0.404,0.384,0.389,0.411,0.43,0.441,0.45,0.466,0.488,0.504,0.505,0.495,0.483,0.478,0.479,0.483,0.487,0.492,0.49,0.47,0.423,0.361,0.309,0.295,0.324,0.376,0.426,0.46,0.485,0.505,0.522,0.528,0.522,0.509,0.498,0.494,0.495,0.498,0.503,0.508,0.509,0.498,0.47,0.435,0.407,0.397,0.4,0.411,0.42,0.43,0.444,0.463,0.48,0.486,0.477,0.46,0.443,0.434,0.435,0.445,0.463,0.479,0.477,0.444,0.382,0.315,0.278,0.289,0.343,0.415,0.478,0.523,0.552,0.565,0.557,0.529,0.488,0.449,0.421,0.408,0.41,0.426,0.453,0.478,0.483,0.45,0.387,0.321,0.287,0.302,0.357,0.427,0.49,0.54,0.575,0.591,0.582,0.55,0.509,0.481,0.475,0.489,0.512,0.536,0.558,0.574,0.58,0.568,0.542,0.509,0.481,0.462,0.453,0.453,0.462,0.48,0.501,0.512,0.502,0.474,0.438,0.412,0.4,0.402,0.413,0.43,0.449,0.462,0.46,0.438,0.406,0.382,0.377,0.389,0.404,0.413,0.417,0.433,0.471,0.531,0.593,0.639,0.659,0.662,0.658,0.653,0.646,0.637,0.624,0.6,0.557,0.489,0.405,0.318,0.245,0.192,0.164,0.165,0.2,0.264,0.346,0.431,0.502,0.552,0.578,0.588,0.589,0.587,0.585,0.583,0.579,0.564,0.527,0.466,0.397,0.343,0.318,0.318,0.324,0.324,0.317,0.321,0.344,0.378,0.396,0.381,0.336,0.286,0.249,0.23,0.228,0.241,0.274,0.323,0.371,0.395,0.378,0.329,0.273,0.234,0.22,0.222,0.233,0.255,0.296,0.363,0.446,0.52,0.569,0.59,0.597,0.603,0.61,0.613,0.611,0.607,0.596,0.572,0.525,0.464,0.41,0.388,0.407,0.453,0.498,0.524,0.526,0.524,0.539,0.578,0.624,0.651,0.645,0.616,0.581,0.554,0.537,0.526,0.517,0.508,0.494,0.467,0.42,0.358,0.297,0.256,0.243,0.254,0.275,0.293,0.3,0.294,0.28,0.273,0.283,0.316,0.362,0.407,0.436,0.45,0.457,0.466,0.479,0.489,0.492,0.484,0.467,0.446,0.423,0.402,0.383,0.368,0.355,0.344,0.335,0.325,0.315,0.306,0.297,0.289,0.282,0.275,0.268,0.261,0.253,0.244,0.236,0.228,0.221,0.216,0.211,0.207,0.203,0.199,0.194,0.188,0.181,0.172,0.164,0.155,0.146,0.138,0.129,0.119,0.109,0.098,0.088,0.079,0.07,0.062,0.055,0.049,0.044,0.039,0.034,0.029,0.025,0.021,0.018,0.015,0.012,0.009,0.007,0.005,0.003,0.002,0.002,0.001,0.001,0.001,0.001]