[0,0,0,0,0,0,0,0,0,0,0,0.001,0.009,0.035,0.092,0.183,0.29,0.382,0.442,0.477,0.516,0.575,0.64,0.683,0.68,0.637,0.581,0.539,0.515,0.5,0.477,0.443,0.401,0.361,0.329,0.308,0.297,0.293,0.294,0.297,0.3,0.302,0.301,0.298,0.295,0.289,0.282,0.271,0.257,0.243,0.238,0.255,0.3,0.363,0.421,0.456,0.473,0.49,0.524,0.566,0.594,0.595,0.577,0.566,0.576,0.603,0.626,0.628,0.604,0.563,0.515,0.47,0.431,0.404,0.396,0.412,0.452,0.508,0.565,0.611,0.635,0.631,0.597,0.541,0.481,0.447,0.456,0.506,0.578,0.647,0.7,0.731,0.742,0.735,0.717,0.696,0.682,0.676,0.674,0.665,0.639,0.595,0.545,0.498,0.464,0.441,0.424,0.408,0.39,0.369,0.349,0.331,0.318,0.311,0.308,0.307,0.303,0.295,0.282,0.271,0.267,0.272,0.284,0.296,0.307,0.323,0.346,0.376,0.403,0.417,0.423,0.433,0.464,0.515,0.571,0.606,0.603,0.562,0.495,0.423,0.361,0.319,0.296,0.292,0.305,0.328,0.353,0.363,0.35,0.319,0.281,0.247,0.221,0.2,0.182,0.171,0.178,0.217,0.292,0.384,0.467,0.523,0.563,0.613,0.684,0.76,0.814,0.831,0.811,0.764,0.699,0.621,0.538,0.461,0.396,0.345,0.306,0.276,0.252,0.235,0.223,0.217,0.214,0.214,0.214,0.214,0.215,0.216,0.219,0.225,0.233,0.246,0.266,0.3,0.352,0.418,0.481,0.526,0.546,0.545,0.537,0.534,0.542,0.559,0.578,0.596,0.611,0.627,0.64,0.645,0.635,0.611,0.574,0.528,0.479,0.434,0.403,0.392,0.397,0.402,0.403,0.406,0.421,0.451,0.482,0.5,0.5,0.493,0.496,0.519,0.558,0.599,0.627,0.635,0.625,0.604,0.577,0.549,0.523,0.507,0.507,0.524,0.549,0.565,0.56,0.531,0.486,0.44,0.402,0.378,0.366,0.36,0.356,0.35,0.343,0.334,0.325,0.316,0.303,0.287,0.267,0.244,0.225,0.212,0.212,0.231,0.27,0.324,0.382,0.43,0.462,0.483,0.493,0.494,0.483,0.463,0.442,0.433,0.437,0.449,0.452,0.437,0.403,0.366,0.336,0.319,0.311,0.305,0.3,0.303,0.319,0.35,0.387,0.414,0.42,0.403,0.371,0.333,0.295,0.26,0.231,0.211,0.209,0.236,0.298,0.385,0.47,0.525,0.544,0.544,0.541,0.536,0.523,0.502,0.486,0.484,0.491,0.488,0.465,0.426,0.391,0.373,0.373,0.381,0.384,0.377,0.357,0.328,0.293,0.258,0.227,0.203,0.188,0.18,0.177,0.178,0.18,0.183,0.193,0.222,0.277,0.354,0.429,0.479,0.495,0.497,0.504,0.522,0.533,0.519,0.482,0.439,0.403,0.375,0.351,0.343,0.372,0.45,0.559,0.658,0.709,0.698,0.642,0.569,0.499,0.439,0.396,0.378,0.396,0.445,0.503,0.542,0.55,0.539,0.526,0.522,0.521,0.515,0.504,0.494,0.486,0.475,0.456,0.434,0.422,0.432,0.47,0.528,0.591,0.644,0.675,0.68,0.664,0.636,0.603,0.572,0.54,0.506,0.465,0.418,0.37,0.328,0.297,0.28,0.274,0.271,0.265,0.256,0.255,0.269,0.302,0.347,0.393,0.428,0.451,0.461,0.461,0.455,0.449,0.456,0.482,0.525,0.573,0.604,0.602,0.567,0.507,0.442,0.386,0.354,0.352,0.378,0.418,0.446,0.445,0.416,0.376,0.338,0.312,0.293,0.282,0.285,0.315,0.372,0.44,0.49,0.501,0.484,0.472,0.486,0.518,0.538,0.528,0.5,0.477,0.472,0.48,0.486,0.48,0.46,0.432,0.401,0.368,0.335,0.301,0.27,0.245,0.228,0.218,0.213,0.206,0.197,0.184,0.169,0.154,0.141,0.133,0.137,0.164,0.224,0.311,0.403,0.473,0.505,0.514,0.519,0.532,0.546,0.549,0.544,0.539,0.536,0.525,0.497,0.457,0.426,0.418,0.435,0.459,0.474,0.472,0.459,0.441,0.421,0.399,0.379,0.377,0.409,0.476,0.558,0.62,0.64,0.621,0.589,0.569,0.566,0.567,0.562,0.553,0.546,0.545,0.544,0.539,0.53,0.52,0.514,0.514,0.517,0.518,0.511,0.496,0.474,0.446,0.416,0.391,0.38,0.392,0.423,0.453,0.46,0.434,0.386,0.336,0.3,0.281,0.274,0.276,0.287,0.305,0.324,0.337,0.339,0.338,0.341,0.355,0.374,0.387,0.385,0.373,0.362,0.368,0.397,0.446,0.503,0.551,0.58,0.586,0.572,0.547,0.521,0.5,0.485,0.473,0.459,0.437,0.408,0.375,0.341,0.31,0.284,0.261,0.243,0.232,0.238,0.267,0.312,0.354,0.378,0.383,0.392,0.423,0.476,0.529,0.56,0.563,0.552,0.543,0.539,0.534,0.519,0.494,0.465,0.437,0.415,0.397,0.384,0.373,0.365,0.358,0.352,0.347,0.343,0.339,0.335,0.331,0.325,0.317,0.309,0.309,0.326,0.365,0.419,0.468,0.495,0.499,0.501,0.521,0.562,0.61,0.644,0.657,0.66,0.667,0.685,0.706,0.714,0.7,0.659,0.601,0.536,0.477,0.432,0.41,0.412,0.431,0.454,0.472,0.48,0.487,0.497,0.508,0.51,0.496,0.472,0.453,0.454,0.48,0.523,0.568,0.604,0.624,0.628,0.617,0.597,0.576,0.564,0.562,0.567,0.566,0.551,0.521,0.482,0.445,0.417,0.399,0.385,0.373,0.36,0.346,0.335,0.33,0.33,0.334,0.337,0.338,0.334,0.326,0.313,0.299,0.289,0.287,0.293,0.301,0.311,0.324,0.346,0.377,0.413,0.441,0.458,0.466,0.474,0.488,0.507,0.523,0.523,0.504,0.469,0.427,0.387,0.354,0.33,0.317,0.317,0.329,0.345,0.352,0.343,0.319,0.292,0.271,0.259,0.254,0.258,0.278,0.319,0.376,0.437,0.485,0.511,0.516,0.506,0.49,0.474,0.466,0.472,0.492,0.515,0.524,0.509,0.471,0.427,0.395,0.381,0.382,0.389,0.393,0.39,0.382,0.372,0.362,0.349,0.333,0.311,0.285,0.259,0.238,0.225,0.221,0.228,0.249,0.287,0.34,0.392,0.427,0.438,0.439,0.459,0.515,0.601,0.694,0.77,0.816,0.834,0.83,0.812,0.784,0.752,0.717,0.678,0.635,0.59,0.55,0.52,0.505,0.505,0.517,0.534,0.551,0.563,0.566,0.557,0.538,0.518,0.512,0.53,0.574,0.628,0.673,0.693,0.683,0.648,0.603,0.561,0.529,0.511,0.508,0.515,0.521,0.515,0.492,0.455,0.415,0.384,0.367,0.36,0.359,0.358,0.352,0.342,0.328,0.313,0.298,0.285,0.274,0.265,0.259,0.259,0.268,0.29,0.325,0.366,0.406,0.436,0.454,0.461,0.456,0.444,0.43,0.426,0.438,0.465,0.494,0.51,0.504,0.479,0.445,0.408,0.375,0.351,0.342,0.355,0.387,0.422,0.44,0.431,0.398,0.355,0.315,0.283,0.26,0.246,0.247,0.271,0.318,0.377,0.426,0.451,0.457,0.465,0.485,0.506,0.507,0.483,0.45,0.427,0.42,0.415,0.401,0.38,0.357,0.34,0.329,0.32,0.311,0.297,0.278,0.256,0.238,0.227,0.225,0.23,0.239,0.251,0.262,0.271,0.278,0.29,0.316,0.362,0.416,0.457,0.471,0.462,0.456,0.472,0.503,0.528,0.529,0.511,0.488,0.467,0.446,0.426,0.414,0.423,0.453,0.491,0.515,0.51,0.482,0.448,0.422,0.405,0.394,0.393,0.411,0.454,0.516,0.578,0.621,0.641,0.64,0.628,0.608,0.582,0.556,0.537,0.531,0.536,0.546,0.552,0.55,0.542,0.536,0.538,0.552,0.576,0.602,0.621,0.624,0.611,0.587,0.56,0.534,0.511,0.487,0.458,0.425,0.391,0.361,0.339,0.326,0.32,0.318,0.321,0.328,0.34,0.353,0.364,0.371,0.377,0.382,0.385,0.383,0.376,0.372,0.383,0.412,0.449,0.477,0.476,0.444,0.389,0.331,0.284,0.26,0.262,0.283,0.313,0.335,0.341,0.331,0.311,0.291,0.273,0.257,0.246,0.248,0.274,0.327,0.396,0.458,0.498,0.518,0.535,0.552,0.563,0.557,0.536,0.515,0.502,0.495,0.488,0.48,0.472,0.468,0.469,0.474,0.477,0.472,0.456,0.427,0.391,0.353,0.321,0.298,0.286,0.282,0.283,0.287,0.293,0.302,0.319,0.35,0.395,0.441,0.472,0.481,0.477,0.477,0.489,0.5,0.499,0.483,0.467,0.461,0.459,0.456,0.458,0.486,0.554,0.647,0.731,0.77,0.751,0.686,0.603,0.528,0.478,0.461,0.471,0.49,0.497,0.483,0.46,0.454,0.475,0.516,0.551,0.565,0.56,0.547,0.536,0.526,0.513,0.498,0.49,0.497,0.517,0.537,0.544,0.534,0.511,0.485,0.46,0.434,0.407,0.378,0.352,0.33,0.315,0.306,0.301,0.297,0.292,0.284,0.275,0.268,0.27,0.287,0.319,0.363,0.411,0.459,0.504,0.545,0.576,0.593,0.593,0.581,0.568,0.559,0.553,0.541,0.518,0.482,0.439,0.396,0.357,0.33,0.322,0.335,0.366,0.403,0.431,0.44,0.43,0.409,0.386,0.367,0.36,0.371,0.401,0.445,0.488,0.516,0.527,0.531,0.542,0.565,0.591,0.603,0.594,0.574,0.559,0.554,0.554,0.548,0.533,0.512,0.489,0.468,0.451,0.438,0.43,0.424,0.42,0.419,0.419,0.42,0.421,0.423,0.428,0.436,0.444,0.446,0.441,0.428,0.416,0.411,0.414,0.418,0.419,0.415,0.415,0.424,0.438,0.444,0.433,0.411,0.4,0.407,0.423,0.429,0.422,0.421,0.441,0.475,0.504,0.513,0.508,0.499,0.492,0.489,0.495,0.518,0.56,0.609,0.645,0.658,0.652,0.63,0.599,0.559,0.517,0.483,0.467,0.471,0.482,0.486,0.471,0.439,0.398,0.36,0.332,0.318,0.315,0.318,0.321,0.32,0.315,0.308,0.3,0.292,0.282,0.269,0.255,0.244,0.244,0.258,0.285,0.318,0.349,0.37,0.381,0.384,0.38,0.37,0.359,0.359,0.378,0.414,0.451,0.477,0.49,0.497,0.507,0.516,0.523,0.53,0.542,0.562,0.577,0.576,0.563,0.551,0.551,0.563,0.579,0.59,0.595,0.594,0.586,0.568,0.542,0.517,0.504,0.507,0.522,0.537,0.543,0.54,0.531,0.517,0.498,0.472,0.441,0.406,0.373,0.346,0.326,0.313,0.306,0.3,0.292,0.283,0.271,0.259,0.247,0.239,0.237,0.243,0.254,0.269,0.287,0.31,0.338,0.368,0.397,0.419,0.433,0.435,0.427,0.411,0.396,0.391,0.397,0.406,0.406,0.392,0.364,0.331,0.301,0.278,0.267,0.271,0.291,0.325,0.369,0.412,0.447,0.464,0.462,0.439,0.404,0.364,0.331,0.314,0.311,0.317,0.324,0.33,0.334,0.34,0.347,0.354,0.36,0.368,0.38,0.394,0.401,0.395,0.378,0.357,0.337,0.318,0.3,0.283,0.268,0.257,0.249,0.243,0.239,0.236,0.232,0.228,0.224,0.225,0.236,0.261,0.295,0.326,0.342,0.343,0.34,0.347,0.369,0.399,0.423,0.44,0.454,0.469,0.481,0.48,0.461,0.429,0.395,0.366,0.346,0.335,0.334,0.345,0.363,0.377,0.375,0.355,0.325,0.296,0.276,0.267,0.268,0.276,0.291,0.314,0.343,0.373,0.4,0.417,0.422,0.413,0.395,0.376,0.366,0.369,0.388,0.411,0.423,0.414,0.386,0.35,0.32,0.304,0.301,0.307,0.316,0.327,0.338,0.348,0.357,0.363,0.365,0.362,0.355,0.345,0.336,0.334,0.339,0.351,0.362,0.37,0.376,0.383,0.395,0.407,0.418,0.426,0.436,0.449,0.46,0.46,0.445,0.421,0.4,0.387,0.384,0.385,0.387,0.39,0.395,0.403,0.414,0.423,0.429,0.433,0.435,0.433,0.423,0.406,0.387,0.375,0.376,0.388,0.4,0.406,0.406,0.408,0.417,0.432,0.443,0.444,0.438,0.433,0.433,0.433,0.424,0.403,0.376,0.349,0.326,0.305,0.285,0.264,0.247,0.235,0.231,0.232,0.235,0.235,0.23,0.221,0.214,0.212,0.221,0.244,0.279,0.323,0.37,0.416,0.453,0.476,0.478,0.461,0.436,0.417,0.413,0.419,0.421,0.409,0.387,0.364,0.35,0.349,0.358,0.373,0.393,0.413,0.427,0.434,0.432,0.427,0.426,0.43,0.432,0.428,0.417,0.407,0.405,0.411,0.419,0.422,0.419,0.416,0.416,0.422,0.43,0.439,0.453,0.476,0.502,0.521,0.522,0.504,0.474,0.445,0.424,0.416,0.419,0.431,0.447,0.463,0.474,0.476,0.468,0.45,0.426,0.404,0.389,0.387,0.402,0.435,0.482,0.531,0.568,0.579,0.561,0.525,0.49,0.466,0.457,0.455,0.454,0.452,0.449,0.444,0.434,0.417,0.392,0.365,0.341,0.327,0.324,0.333,0.35,0.372,0.393,0.408,0.414,0.412,0.405,0.395,0.381,0.364,0.347,0.336,0.336,0.351,0.382,0.424,0.47,0.512,0.541,0.556,0.551,0.53,0.498,0.469,0.455,0.455,0.46,0.456,0.44,0.42,0.405,0.4,0.403,0.406,0.406,0.401,0.393,0.385,0.378,0.37,0.358,0.342,0.324,0.312,0.311,0.326,0.35,0.374,0.389,0.394,0.397,0.405,0.421,0.441,0.459,0.475,0.494,0.514,0.526,0.521,0.497,0.464,0.433,0.409,0.392,0.383,0.386,0.402,0.425,0.445,0.453,0.454,0.457,0.469,0.484,0.493,0.495,0.51,0.554,0.628,0.704,0.756,0.772,0.762,0.743,0.719,0.689,0.656,0.624,0.598,0.572,0.542,0.508,0.476,0.45,0.43,0.414,0.402,0.392,0.387,0.389,0.397,0.408,0.415,0.416,0.409,0.396,0.379,0.363,0.352,0.356,0.377,0.414,0.453,0.481,0.497,0.509,0.524,0.537,0.541,0.534,0.527,0.526,0.529,0.531,0.539,0.568,0.623,0.685,0.726,0.731,0.708,0.676,0.646,0.625,0.619,0.636,0.673,0.715,0.74,0.735,0.707,0.669,0.633,0.603,0.582,0.573,0.576,0.585,0.591,0.59,0.587,0.59,0.604,0.623,0.637,0.635,0.614,0.578,0.538,0.502,0.476,0.458,0.444,0.431,0.414,0.393,0.37,0.347,0.326,0.311,0.303,0.304,0.316,0.337,0.364,0.389,0.408,0.424,0.441,0.46,0.475,0.487,0.501,0.53,0.576,0.628,0.665,0.676,0.66,0.626,0.584,0.545,0.524,0.528,0.551,0.569,0.565,0.536,0.499,0.472,0.462,0.466,0.48,0.505,0.544,0.592,0.634,0.659,0.672,0.689,0.724,0.767,0.796,0.792,0.754,0.696,0.63,0.567,0.514,0.477,0.455,0.447,0.447,0.451,0.46,0.474,0.491,0.5,0.492,0.464,0.428,0.397,0.38,0.377,0.388,0.416,0.465,0.531,0.602,0.663,0.702,0.718,0.716,0.702,0.675,0.64,0.601,0.567,0.539,0.518,0.505,0.509,0.532,0.566,0.599,0.621,0.631,0.631,0.624,0.612,0.604,0.608,0.626,0.645,0.646,0.624,0.591,0.572,0.58,0.611,0.646,0.666,0.667,0.653,0.631,0.608,0.591,0.588,0.603,0.632,0.66,0.671,0.655,0.617,0.569,0.524,0.491,0.47,0.457,0.45,0.443,0.436,0.427,0.417,0.409,0.406,0.407,0.41,0.414,0.421,0.432,0.447,0.465,0.486,0.506,0.521,0.527,0.529,0.535,0.553,0.588,0.636,0.69,0.737,0.768,0.778,0.768,0.747,0.724,0.706,0.693,0.681,0.665,0.641,0.609,0.572,0.537,0.51,0.495,0.5,0.52,0.544,0.554,0.547,0.533,0.533,0.549,0.566,0.561,0.534,0.502,0.484,0.482,0.483,0.48,0.473,0.473,0.479,0.487,0.485,0.472,0.452,0.433,0.415,0.397,0.374,0.347,0.318,0.292,0.273,0.263,0.268,0.286,0.317,0.35,0.379,0.403,0.426,0.447,0.465,0.476,0.482,0.488,0.495,0.502,0.505,0.511,0.529,0.561,0.595,0.615,0.62,0.617,0.616,0.617,0.616,0.614,0.615,0.62,0.622,0.621,0.626,0.644,0.673,0.701,0.72,0.729,0.728,0.716,0.689,0.647,0.603,0.574,0.568,0.58,0.595,0.599,0.586,0.559,0.525,0.49,0.459,0.433,0.41,0.388,0.367,0.348,0.334,0.322,0.31,0.295,0.281,0.276,0.289,0.323,0.372,0.424,0.467,0.496,0.51,0.512,0.508,0.508,0.523,0.556,0.594,0.618,0.62,0.609,0.601,0.604,0.61,0.613,0.62,0.638,0.666,0.682,0.671,0.637,0.604,0.591,0.6,0.616,0.626,0.624,0.609,0.584,0.554,0.529,0.52,0.529,0.547,0.563,0.569,0.568,0.564,0.558,0.538,0.499,0.445,0.387,0.335,0.293,0.261,0.237,0.22,0.211,0.208,0.211,0.217,0.223,0.228,0.229,0.229,0.229,0.231,0.237,0.249,0.267,0.292,0.325,0.365,0.41,0.459,0.508,0.55,0.574,0.574,0.552,0.523,0.502,0.493,0.489,0.475,0.448,0.417,0.394,0.385,0.39,0.403,0.42,0.441,0.466,0.496,0.527,0.553,0.569,0.565,0.541,0.502,0.468,0.454,0.466,0.495,0.524,0.539,0.538,0.525,0.507,0.489,0.473,0.464,0.465,0.475,0.484,0.482,0.467,0.447,0.428,0.413,0.4,0.386,0.371,0.355,0.339,0.325,0.312,0.301,0.292,0.285,0.278,0.272,0.27,0.278,0.298,0.326,0.355,0.378,0.394,0.411,0.431,0.455,0.478,0.501,0.521,0.532,0.525,0.494,0.444,0.391,0.347,0.318,0.302,0.3,0.314,0.346,0.388,0.428,0.455,0.466,0.47,0.47,0.465,0.449,0.425,0.4,0.387,0.392,0.413,0.445,0.481,0.515,0.541,0.552,0.542,0.514,0.481,0.457,0.449,0.449,0.445,0.429,0.406,0.388,0.383,0.391,0.407,0.421,0.43,0.432,0.426,0.413,0.392,0.363,0.328,0.293,0.262,0.239,0.226,0.223,0.234,0.26,0.295,0.329,0.355,0.375,0.4,0.438,0.483,0.523,0.547,0.556,0.558,0.562,0.563,0.554,0.533,0.506,0.477,0.451,0.432,0.42,0.421,0.434,0.455,0.474,0.487,0.492,0.496,0.502,0.504,0.497,0.48,0.457,0.433,0.411,0.387,0.362,0.345,0.345,0.365,0.397,0.422,0.426,0.413,0.402,0.404,0.415,0.415,0.389,0.34,0.285,0.241,0.214,0.202,0.201,0.206,0.213,0.218,0.22,0.218,0.213,0.208,0.205,0.205,0.208,0.212,0.216,0.226,0.247,0.282,0.327,0.374,0.412,0.435,0.439,0.428,0.408,0.385,0.367,0.361,0.368,0.385,0.402,0.408,0.397,0.371,0.34,0.314,0.296,0.286,0.281,0.28,0.286,0.303,0.327,0.352,0.367,0.371,0.367,0.365,0.367,0.372,0.373,0.365,0.346,0.319,0.292,0.273,0.27,0.286,0.317,0.351,0.377,0.388,0.384,0.369,0.346,0.318,0.29,0.269,0.256,0.249,0.243,0.234,0.221,0.207,0.195,0.189,0.19,0.195,0.202,0.206,0.206,0.199,0.187,0.175,0.162,0.152,0.145,0.143,0.147,0.156,0.165,0.172,0.173,0.17,0.167,0.167,0.172,0.182,0.194,0.203,0.208,0.205,0.196,0.183,0.169,0.155,0.143,0.132,0.122,0.112,0.103,0.094,0.087,0.081,0.077,0.075,0.075,0.076,0.076,0.075,0.073,0.07,0.068,0.067,0.066,0.066,0.065,0.063,0.061,0.059,0.057,0.055,0.055,0.056,0.058,0.06,0.063,0.066,0.069,0.071,0.072,0.073,0.075,0.076,0.078,0.081,0.084,0.088,0.091,0.094,0.095,0.094,0.091,0.087,0.083,0.081,0.08,0.079,0.077,0.073,0.065,0.057,0.048,0.041,0.035,0.032,0.031,0.03,0.03,0.03,0.031,0.032,0.033,0.033,0.033,0.032,0.031,0.029,0.028,0.028,0.028,0.029,0.029,0.029,0.03,0.03,0.029,0.028,0.027,0.026,0.025,0.025,0.024,0.024,0.024,0.024,0.024,0.024,0.024,0.025,0.026,0.027,0.028,0.028,0.027,0.027,0.026,0.025,0.024,0.023,0.023,0.023,0.023,0.022,0.022,0.02,0.019,0.017,0.015,0.012,0.009,0.007,0.005,0.003,0.002,0.002,0.001,0.001,0.001,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0]