[0.03,0.053,0.11,0.191,0.276,0.343,0.379,0.388,0.383,0.375,0.368,0.363,0.361,0.36,0.357,0.349,0.34,0.334,0.337,0.345,0.353,0.361,0.366,0.37,0.369,0.364,0.353,0.345,0.347,0.366,0.398,0.428,0.439,0.428,0.402,0.376,0.358,0.351,0.354,0.365,0.381,0.394,0.4,0.397,0.388,0.378,0.366,0.356,0.349,0.345,0.345,0.347,0.352,0.36,0.375,0.395,0.418,0.437,0.45,0.453,0.446,0.43,0.413,0.403,0.407,0.418,0.428,0.43,0.428,0.425,0.424,0.418,0.408,0.397,0.392,0.396,0.407,0.421,0.435,0.446,0.453,0.456,0.458,0.46,0.459,0.454,0.445,0.435,0.427,0.42,0.415,0.411,0.41,0.409,0.408,0.405,0.4,0.392,0.381,0.367,0.354,0.343,0.338,0.338,0.343,0.354,0.369,0.385,0.4,0.411,0.419,0.423,0.423,0.419,0.411,0.4,0.386,0.371,0.357,0.351,0.359,0.381,0.41,0.435,0.446,0.443,0.432,0.418,0.406,0.4,0.401,0.413,0.434,0.455,0.467,0.459,0.437,0.41,0.389,0.375,0.366,0.363,0.367,0.38,0.4,0.418,0.43,0.433,0.435,0.44,0.449,0.459,0.466,0.467,0.46,0.448,0.441,0.449,0.472,0.5,0.515,0.51,0.487,0.46,0.437,0.42,0.407,0.399,0.397,0.403,0.413,0.422,0.424,0.418,0.408,0.399,0.396,0.399,0.404,0.407,0.406,0.405,0.407,0.412,0.416,0.415,0.41,0.404,0.398,0.392,0.387,0.386,0.39,0.398,0.401,0.398,0.387,0.375,0.365,0.361,0.361,0.361,0.36,0.358,0.357,0.356,0.358,0.365,0.379,0.405,0.439,0.476,0.507,0.53,0.545,0.553,0.55,0.537,0.519,0.505,0.497,0.492,0.487,0.483,0.478,0.478,0.484,0.496,0.508,0.516,0.516,0.511,0.504,0.505,0.515,0.529,0.535,0.527,0.511,0.5,0.499,0.504,0.505,0.497,0.484,0.471,0.462,0.458,0.462,0.473,0.486,0.495,0.496,0.491,0.487,0.487,0.494,0.503,0.51,0.515,0.524,0.539,0.556,0.566,0.564,0.552,0.535,0.517,0.498,0.483,0.472,0.468,0.466,0.465,0.459,0.451,0.44,0.433,0.428,0.424,0.417,0.408,0.4,0.398,0.404,0.419,0.444,0.476,0.508,0.535,0.55,0.551,0.544,0.531,0.518,0.504,0.49,0.477,0.472,0.477,0.488,0.501,0.509,0.509,0.502,0.491,0.48,0.471,0.464,0.459,0.452,0.442,0.429,0.413,0.395,0.378,0.364,0.353,0.344,0.337,0.332,0.331,0.336,0.345,0.357,0.368,0.376,0.38,0.378,0.376,0.376,0.38,0.387,0.395,0.404,0.414,0.427,0.445,0.467,0.486,0.492,0.479,0.45,0.418,0.391,0.369,0.348,0.327,0.31,0.3,0.3,0.305,0.315,0.327,0.336,0.341,0.339,0.33,0.319,0.308,0.301,0.304,0.326,0.37,0.432,0.493,0.529,0.53,0.499,0.453,0.409,0.374,0.351,0.338,0.335,0.339,0.345,0.351,0.354,0.356,0.356,0.352,0.343,0.331,0.317,0.307,0.301,0.301,0.308,0.321,0.334,0.341,0.34,0.33,0.317,0.306,0.301,0.299,0.298,0.295,0.29,0.283,0.277,0.271,0.264,0.259,0.257,0.26,0.268,0.28,0.298,0.322,0.355,0.394,0.437,0.48,0.519,0.548,0.559,0.555,0.545,0.537,0.529,0.518,0.501,0.48,0.461,0.443,0.43,0.424,0.426,0.435,0.445,0.448,0.442,0.431,0.42,0.418,0.423,0.434,0.447,0.461,0.474,0.482,0.477,0.455,0.422,0.388,0.365,0.356,0.362,0.378,0.402,0.431,0.457,0.473,0.471,0.455,0.431,0.411,0.399,0.396,0.4,0.408,0.418,0.431,0.449,0.473,0.5,0.518,0.518,0.496,0.464,0.431,0.407,0.393,0.386,0.382,0.378,0.374,0.368,0.363,0.358,0.353,0.349,0.346,0.344,0.343,0.342,0.34,0.34,0.344,0.352,0.362,0.368,0.37,0.37,0.369,0.372,0.377,0.382,0.386,0.384,0.379,0.372,0.363,0.355,0.344,0.335,0.329,0.328,0.333,0.338,0.344,0.352,0.366,0.387,0.408,0.421,0.422,0.412,0.402,0.396,0.398,0.405,0.412,0.418,0.42,0.419,0.415,0.409,0.404,0.403,0.405,0.406,0.407,0.408,0.407,0.401,0.387,0.366,0.344,0.328,0.326,0.339,0.362,0.384,0.394,0.388,0.371,0.35,0.329,0.313,0.303,0.303,0.311,0.323,0.331,0.329,0.319,0.308,0.301,0.302,0.308,0.319,0.33,0.34,0.35,0.364,0.388,0.425,0.465,0.492,0.493,0.471,0.437,0.405,0.382,0.364,0.349,0.335,0.324,0.317,0.317,0.324,0.335,0.346,0.352,0.353,0.351,0.349,0.349,0.351,0.354,0.36,0.367,0.372,0.37,0.361,0.349,0.34,0.338,0.342,0.35,0.357,0.362,0.362,0.359,0.355,0.353,0.352,0.354,0.357,0.36,0.365,0.371,0.381,0.396,0.413,0.431,0.447,0.459,0.466,0.464,0.456,0.448,0.446,0.452,0.464,0.473,0.471,0.456,0.432,0.407,0.39,0.384,0.389,0.401,0.417,0.431,0.44,0.444,0.442,0.439,0.437,0.437,0.439,0.445,0.454,0.465,0.472,0.474,0.469,0.457,0.438,0.411,0.382,0.365,0.368,0.389,0.414,0.428,0.427,0.414,0.398,0.384,0.373,0.367,0.367,0.372,0.382,0.392,0.406,0.426,0.449,0.466,0.467,0.449,0.419,0.388,0.361,0.343,0.332,0.327,0.326,0.328,0.33,0.328,0.321,0.31,0.299,0.29,0.287,0.296,0.318,0.353,0.391,0.424,0.452,0.478,0.503,0.519,0.518,0.501,0.482,0.471,0.472,0.476,0.475,0.47,0.464,0.46,0.46,0.46,0.457,0.452,0.448,0.451,0.461,0.47,0.474,0.47,0.458,0.444,0.432,0.425,0.42,0.42,0.426,0.437,0.452,0.462,0.462,0.451,0.432,0.413,0.398,0.39,0.385,0.384,0.387,0.391,0.395,0.396,0.396,0.397,0.402,0.412,0.423,0.433,0.44,0.445,0.449,0.448,0.436,0.412,0.381,0.351,0.326,0.307,0.295,0.29,0.291,0.295,0.298,0.297,0.293,0.288,0.285,0.288,0.297,0.309,0.321,0.33,0.338,0.35,0.372,0.401,0.43,0.452,0.461,0.457,0.441,0.418,0.395,0.38,0.375,0.376,0.378,0.378,0.379,0.38,0.381,0.381,0.379,0.372,0.361,0.351,0.346,0.345,0.344,0.341,0.332,0.32,0.306,0.293,0.282,0.275,0.271,0.273,0.279,0.287,0.297,0.304,0.309,0.311,0.311,0.311,0.31,0.309,0.309,0.313,0.32,0.333,0.349,0.369,0.389,0.41,0.437,0.469,0.5,0.518,0.515,0.494,0.472,0.457,0.452,0.452,0.456,0.465,0.477,0.486,0.488,0.482,0.473,0.469,0.47,0.473,0.472,0.47,0.468,0.469,0.471,0.474,0.476,0.472,0.459,0.437,0.412,0.396,0.399,0.419,0.446,0.463,0.464,0.454,0.444,0.442,0.443,0.44,0.431,0.418,0.406,0.396,0.388,0.383,0.383,0.388,0.395,0.406,0.424,0.444,0.46,0.463,0.453,0.438,0.429,0.427,0.429,0.429,0.428,0.426,0.422,0.414,0.401,0.385,0.37,0.359,0.352,0.349,0.346,0.339,0.328,0.318,0.316,0.327,0.347,0.369,0.383,0.389,0.386,0.382,0.38,0.381,0.383,0.386,0.385,0.38,0.371,0.362,0.356,0.353,0.352,0.352,0.351,0.353,0.356,0.359,0.361,0.361,0.362,0.369,0.382,0.4,0.419,0.431,0.435,0.43,0.417,0.398,0.378,0.361,0.349,0.341,0.338,0.337,0.337,0.337,0.334,0.325,0.314,0.308,0.313,0.328,0.349,0.367,0.381,0.396,0.417,0.442,0.462,0.466,0.454,0.436,0.419,0.405,0.388,0.366,0.339,0.318,0.311,0.321,0.343,0.366,0.379,0.376,0.364,0.348,0.333,0.32,0.308,0.299,0.3,0.32,0.362,0.42,0.473,0.503,0.5,0.472,0.431,0.392,0.364,0.349,0.344,0.345,0.346,0.345,0.341,0.334,0.325,0.312,0.3,0.289,0.282,0.281,0.285,0.295,0.311,0.331,0.347,0.355,0.352,0.342,0.335,0.334,0.339,0.343,0.344,0.343,0.342,0.341,0.339,0.335,0.331,0.327,0.323,0.319,0.318,0.326,0.344,0.372,0.41,0.457,0.513,0.574,0.627,0.656,0.646,0.603,0.547,0.498,0.465,0.445,0.427,0.41,0.399,0.398,0.406,0.417,0.425,0.428,0.431,0.436,0.443,0.444,0.437,0.424,0.413,0.407,0.409,0.421,0.441,0.467,0.485,0.486,0.473,0.458,0.448,0.444,0.438,0.427,0.413,0.403,0.397,0.393,0.387,0.376,0.365,0.355,0.347,0.339,0.329,0.318,0.305,0.295,0.293,0.309,0.344,0.39,0.429,0.447,0.439,0.411,0.377,0.35,0.336,0.333,0.335,0.336,0.336,0.335,0.337,0.342,0.345,0.346,0.345,0.348,0.357,0.376,0.401,0.424,0.435,0.433,0.42,0.407,0.401,0.401,0.401,0.399,0.395,0.39,0.387,0.384,0.384,0.389,0.398,0.408,0.415,0.417,0.413,0.404,0.397,0.393,0.394,0.4,0.407,0.412,0.414,0.413,0.413,0.414,0.415,0.413,0.409,0.408,0.41,0.415,0.418,0.416,0.409,0.4,0.393,0.389,0.389,0.388,0.384,0.376,0.369,0.363,0.362,0.366,0.379,0.401,0.428,0.448,0.455,0.448,0.436,0.422,0.414,0.412,0.417,0.425,0.433,0.433,0.427,0.416,0.403,0.391,0.382,0.378,0.381,0.389,0.397,0.399,0.396,0.394,0.398,0.412,0.434,0.461,0.487,0.507,0.515,0.509,0.489,0.462,0.437,0.421,0.414,0.418,0.427,0.434,0.433,0.426,0.413,0.401,0.391,0.382,0.375,0.366,0.357,0.35,0.347,0.351,0.36,0.37,0.379,0.388,0.398,0.409,0.42,0.425,0.421,0.409,0.393,0.377,0.366,0.359,0.355,0.353,0.352,0.353,0.353,0.352,0.351,0.353,0.361,0.373,0.388,0.405,0.428,0.457,0.486,0.503,0.499,0.48,0.461,0.455,0.463,0.475,0.479,0.469,0.45,0.429,0.414,0.407,0.41,0.422,0.437,0.444,0.44,0.43,0.423,0.421,0.422,0.417,0.408,0.404,0.415,0.436,0.453,0.457,0.453,0.447,0.441,0.426,0.397,0.358,0.322,0.298,0.29,0.294,0.304,0.312,0.318,0.321,0.321,0.32,0.315,0.311,0.311,0.321,0.346,0.387,0.436,0.478,0.498,0.486,0.449,0.402,0.363,0.343,0.342,0.352,0.363,0.37,0.371,0.368,0.361,0.355,0.348,0.34,0.33,0.318,0.304,0.292,0.288,0.295,0.312,0.337,0.361,0.377,0.382,0.375,0.361,0.346,0.338,0.34,0.348,0.358,0.364,0.364,0.357,0.346,0.336,0.329,0.326,0.327,0.33,0.331,0.332,0.334,0.339,0.347,0.355,0.363,0.371,0.377,0.382,0.382,0.381,0.379,0.378,0.375,0.372,0.368,0.368,0.372,0.382,0.394,0.404,0.411,0.413,0.41,0.406,0.401,0.397,0.394,0.395,0.399,0.406,0.417,0.428,0.435,0.434,0.426,0.415,0.405,0.396,0.388,0.381,0.375,0.372,0.37,0.369,0.364,0.353,0.34,0.331,0.33,0.336,0.345,0.354,0.359,0.36,0.361,0.368,0.39,0.426,0.465,0.491,0.495,0.476,0.444,0.413,0.391,0.382,0.386,0.395,0.399,0.393,0.373,0.347,0.322,0.304,0.294,0.292,0.294,0.298,0.304,0.311,0.318,0.325,0.331,0.334,0.334,0.33,0.326,0.324,0.324,0.328,0.333,0.338,0.34,0.335,0.323,0.308,0.293,0.282,0.273,0.267,0.265,0.264,0.265,0.266,0.268,0.277,0.298,0.332,0.379,0.43,0.471,0.493,0.496,0.489,0.48,0.467,0.448,0.426,0.405,0.392,0.384,0.38,0.377,0.374,0.374,0.374,0.376,0.379,0.385,0.396,0.408,0.419,0.428,0.439,0.454,0.475,0.492,0.497,0.487,0.469,0.449,0.431,0.413,0.394,0.378,0.368,0.365,0.369,0.375,0.382,0.385,0.384,0.376,0.363,0.349,0.336,0.325,0.318,0.317,0.329,0.357,0.396,0.436,0.458,0.452,0.421,0.38,0.347,0.332,0.335,0.344,0.353,0.357,0.36,0.362,0.36,0.353,0.343,0.331,0.32,0.309,0.301,0.298,0.308,0.331,0.362,0.388,0.401,0.4,0.394,0.39,0.39,0.39,0.385,0.375,0.361,0.35,0.345,0.345,0.346,0.344,0.34,0.335,0.333,0.335,0.339,0.344,0.348,0.35,0.35,0.351,0.351,0.352,0.35,0.344,0.334,0.324,0.317,0.315,0.313,0.312,0.312,0.316,0.322,0.327,0.326,0.32,0.312,0.306,0.305,0.309,0.314,0.318,0.32,0.325,0.335,0.358,0.396,0.441,0.482,0.506,0.509,0.499,0.484,0.471,0.464,0.461,0.459,0.453,0.446,0.442,0.444,0.452,0.462,0.469,0.471,0.466,0.457,0.441,0.421,0.402,0.39,0.391,0.405,0.432,0.463,0.489,0.501,0.499,0.485,0.463,0.438,0.417,0.405,0.403,0.407,0.409,0.408,0.409,0.413,0.418,0.422,0.42,0.411,0.399,0.39,0.389,0.396,0.408,0.419,0.427,0.43,0.428,0.424,0.423,0.427,0.435,0.443,0.447,0.449,0.455,0.464,0.471,0.47,0.459,0.442,0.426,0.414,0.407,0.404,0.402,0.4,0.399,0.398,0.395,0.393,0.398,0.41,0.427,0.437,0.434,0.418,0.4,0.389,0.389,0.396,0.406,0.411,0.41,0.402,0.391,0.377,0.365,0.355,0.35,0.348,0.348,0.348,0.349,0.352,0.361,0.378,0.402,0.428,0.442,0.438,0.418,0.392,0.373,0.366,0.369,0.376,0.383,0.385,0.382,0.374,0.361,0.346,0.334,0.329,0.335,0.349,0.368,0.387,0.401,0.406,0.402,0.399,0.409,0.437,0.474,0.503,0.513,0.505,0.487,0.47,0.458,0.45,0.442,0.432,0.42,0.409,0.402,0.4,0.403,0.409,0.417,0.426,0.432,0.434,0.428,0.416,0.403,0.399,0.409,0.43,0.452,0.463,0.459,0.446,0.434,0.429,0.432,0.44,0.448,0.452,0.449,0.441,0.433,0.428,0.428,0.432,0.438,0.443,0.445,0.444,0.439,0.432,0.424,0.416,0.411,0.411,0.418,0.429,0.443,0.454,0.459,0.456,0.45,0.445,0.445,0.448,0.45,0.447,0.437,0.421,0.403,0.385,0.368,0.355,0.348,0.345,0.345,0.347,0.351,0.359,0.374,0.393,0.412,0.425,0.435,0.447,0.464,0.482,0.492,0.491,0.484,0.48,0.484,0.492,0.5,0.502,0.501,0.5,0.499,0.498,0.494,0.487,0.477,0.461,0.44,0.422,0.413,0.418,0.431,0.445,0.452,0.445,0.426,0.396,0.364,0.335,0.314,0.3,0.293,0.29,0.291,0.292,0.29,0.284,0.277,0.271,0.269,0.274,0.29,0.317,0.35,0.386,0.42,0.447,0.463,0.463,0.45,0.43,0.413,0.401,0.396,0.395,0.394,0.391,0.386,0.382,0.381,0.382,0.382,0.38,0.378,0.375,0.37,0.362,0.354,0.353,0.366,0.395,0.435,0.475,0.5,0.504,0.49,0.472,0.458,0.449,0.439,0.423,0.401,0.38,0.365,0.356,0.351,0.346,0.341,0.342,0.351,0.365,0.379,0.388,0.392,0.39,0.385,0.381,0.389,0.414,0.451,0.48,0.486,0.465,0.43,0.394,0.365,0.342,0.325,0.315,0.313,0.318,0.326,0.33,0.327,0.316,0.303,0.293,0.287,0.287,0.289,0.294,0.303,0.321,0.357,0.415,0.483,0.539,0.559,0.543,0.506,0.47,0.449,0.442,0.446,0.459,0.473,0.481,0.477,0.46,0.441,0.427,0.42,0.419,0.421,0.421,0.417,0.41,0.401,0.391,0.38,0.368,0.359,0.356,0.36,0.37,0.384,0.4,0.413,0.421,0.424,0.425,0.427,0.431,0.437,0.443,0.447,0.448,0.444,0.432,0.409,0.379,0.348,0.324,0.312,0.311,0.318,0.332,0.352,0.379,0.41,0.437,0.451,0.445,0.425,0.398,0.374,0.356,0.345,0.336,0.328,0.32,0.313,0.308,0.303,0.296,0.288,0.279,0.271,0.269,0.274,0.288,0.31,0.337,0.365,0.385,0.389,0.377,0.355,0.333,0.315,0.3,0.284,0.269,0.258,0.256,0.262,0.271,0.278,0.283,0.285,0.286,0.287,0.291,0.298,0.308,0.316,0.322,0.336,0.367,0.414,0.458,0.479,0.469,0.441,0.412,0.393,0.384,0.385,0.394,0.408,0.423,0.431,0.43,0.422,0.415,0.412,0.414,0.415,0.413,0.41,0.407,0.405,0.4,0.39,0.373,0.354,0.338,0.327,0.32,0.312,0.303,0.293,0.284,0.278,0.274,0.272,0.273,0.277,0.285,0.292,0.296,0.297,0.299,0.301,0.301,0.298,0.292,0.288,0.29,0.304,0.336,0.384,0.435,0.468,0.477,0.463,0.444,0.428,0.417,0.407,0.397,0.384,0.37,0.358,0.349,0.345,0.345,0.345,0.345,0.345,0.344,0.337,0.323,0.306,0.295,0.298,0.317,0.349,0.381,0.403,0.409,0.403,0.393,0.381,0.368,0.353,0.336,0.32,0.309,0.307,0.314,0.325,0.336,0.344,0.346,0.344,0.341,0.343,0.352,0.365,0.374,0.378,0.381,0.39,0.409,0.434,0.457,0.468,0.463,0.447,0.427,0.408,0.392,0.38,0.373,0.37,0.369,0.367,0.364,0.36,0.357,0.354,0.349,0.342,0.338,0.341,0.353,0.369,0.382,0.388,0.39,0.391,0.393,0.393,0.391,0.385,0.378,0.369,0.36,0.351,0.344,0.341,0.342,0.346,0.353,0.362,0.368,0.369,0.362,0.351,0.337,0.323,0.313,0.31,0.315,0.328,0.34,0.349,0.354,0.358,0.365,0.371,0.374,0.371,0.364,0.355,0.346,0.339,0.333,0.33,0.328,0.326,0.323,0.319,0.314,0.309,0.305,0.304,0.309,0.327,0.358,0.401,0.445,0.476,0.483,0.467,0.435,0.399,0.366,0.335,0.306,0.281,0.264,0.255,0.252,0.251,0.251,0.251,0.251,0.253,0.254,0.251,0.247,0.243,0.245,0.255,0.28,0.32,0.371,0.423,0.462,0.479,0.476,0.46,0.442,0.428,0.422,0.42,0.417,0.41,0.398,0.385,0.372,0.36,0.35,0.344,0.339,0.335,0.33,0.325,0.323,0.328,0.339,0.347,0.347,0.339,0.329,0.321,0.32,0.321,0.323,0.322,0.323,0.327,0.336,0.348,0.356,0.357,0.35,0.339,0.33,0.325,0.325,0.326,0.329,0.335,0.348,0.368,0.397,0.43,0.462,0.487,0.499,0.501,0.498,0.497,0.5,0.501,0.495,0.48,0.462,0.445,0.432,0.423,0.42,0.425,0.437,0.453,0.464,0.469,0.468,0.463,0.457,0.451,0.449,0.451,0.459,0.468,0.47,0.457,0.432,0.403,0.379,0.364,0.357,0.355,0.358,0.364,0.375,0.388,0.399,0.407,0.412,0.416,0.421,0.426,0.428,0.428,0.429,0.432,0.44,0.458,0.483,0.506,0.514,0.505,0.488,0.474,0.465,0.454,0.44,0.427,0.421,0.421,0.425,0.429,0.434,0.441,0.45,0.452,0.44,0.415,0.383,0.353,0.332,0.319,0.314,0.314,0.316,0.318,0.318,0.316,0.315,0.316,0.318,0.32,0.322,0.324,0.328,0.333,0.338,0.34,0.339,0.336,0.331,0.326,0.321,0.316,0.312,0.312,0.32,0.336,0.362,0.399,0.442,0.484,0.513,0.524,0.518,0.505,0.492,0.486,0.485,0.485,0.484,0.482,0.481,0.483,0.484,0.482,0.478,0.472,0.47,0.47,0.473,0.477,0.481,0.483,0.483,0.486,0.498,0.512,0.519,0.503,0.466,0.421,0.387,0.371,0.368,0.367,0.363,0.353,0.338,0.323,0.311,0.305,0.307,0.314,0.327,0.343,0.362,0.384,0.406,0.425,0.439,0.449,0.46,0.479,0.501,0.516,0.514,0.495,0.467,0.439,0.416,0.401,0.392,0.386,0.377,0.367,0.357,0.351,0.349,0.347,0.341,0.331,0.32,0.312,0.309,0.308,0.309,0.309,0.307,0.303,0.297,0.294,0.294,0.298,0.3,0.298,0.29,0.279,0.272,0.272,0.276,0.279,0.28,0.279,0.278,0.275,0.27,0.266,0.264,0.265,0.27,0.277,0.284,0.288,0.294,0.311,0.344,0.392,0.436,0.459]