[0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.006,0.02,0.053,0.107,0.177,0.247,0.302,0.335,0.348,0.352,0.356,0.368,0.385,0.402,0.411,0.415,0.417,0.422,0.427,0.426,0.416,0.397,0.374,0.359,0.36,0.378,0.401,0.414,0.41,0.393,0.375,0.37,0.38,0.389,0.379,0.341,0.287,0.245,0.24,0.276,0.331,0.37,0.369,0.33,0.274,0.228,0.204,0.204,0.22,0.239,0.253,0.256,0.251,0.248,0.258,0.279,0.305,0.323,0.326,0.318,0.312,0.316,0.328,0.338,0.339,0.333,0.329,0.334,0.351,0.373,0.39,0.395,0.391,0.383,0.379,0.382,0.386,0.384,0.371,0.357,0.353,0.368,0.4,0.432,0.449,0.444,0.423,0.4,0.388,0.386,0.381,0.359,0.32,0.283,0.27,0.294,0.339,0.376,0.38,0.349,0.299,0.253,0.224,0.215,0.217,0.222,0.224,0.222,0.219,0.22,0.229,0.244,0.256,0.259,0.251,0.24,0.238,0.252,0.278,0.306,0.325,0.336,0.346,0.361,0.382,0.401,0.414,0.419,0.421,0.425,0.436,0.455,0.474,0.484,0.476,0.458,0.439,0.43,0.438,0.454,0.47,0.475,0.468,0.459,0.457,0.465,0.469,0.454,0.408,0.342,0.282,0.256,0.272,0.315,0.353,0.36,0.335,0.3,0.284,0.299,0.334,0.369,0.387,0.388,0.383,0.385,0.397,0.412,0.423,0.425,0.421,0.414,0.412,0.413,0.419,0.424,0.421,0.403,0.373,0.345,0.334,0.344,0.361,0.37,0.362,0.345,0.333,0.338,0.359,0.386,0.407,0.416,0.415,0.411,0.413,0.421,0.433,0.44,0.435,0.419,0.397,0.379,0.369,0.364,0.36,0.349,0.332,0.313,0.299,0.295,0.298,0.304,0.309,0.311,0.314,0.32,0.33,0.341,0.349,0.347,0.336,0.32,0.306,0.298,0.294,0.289,0.281,0.271,0.267,0.276,0.297,0.325,0.348,0.361,0.367,0.374,0.387,0.408,0.428,0.44,0.44,0.432,0.427,0.432,0.449,0.471,0.487,0.489,0.477,0.464,0.464,0.481,0.502,0.513,0.51,0.502,0.502,0.512,0.522,0.516,0.48,0.416,0.342,0.284,0.26,0.274,0.309,0.337,0.337,0.31,0.278,0.27,0.3,0.359,0.421,0.463,0.477,0.47,0.456,0.451,0.457,0.47,0.476,0.472,0.461,0.448,0.435,0.418,0.393,0.362,0.33,0.307,0.301,0.312,0.333,0.348,0.345,0.325,0.3,0.288,0.299,0.329,0.364,0.391,0.405,0.412,0.422,0.439,0.459,0.472,0.471,0.456,0.437,0.42,0.41,0.407,0.403,0.391,0.367,0.335,0.305,0.284,0.275,0.277,0.282,0.288,0.293,0.297,0.303,0.313,0.323,0.33,0.328,0.318,0.306,0.298,0.299,0.306,0.315,0.317,0.309,0.292,0.272,0.255,0.243,0.238,0.235,0.234,0.239,0.255,0.285,0.321,0.352,0.373,0.382,0.385,0.388,0.397,0.416,0.442,0.466,0.482,0.489,0.492,0.492,0.483,0.459,0.422,0.38,0.347,0.331,0.333,0.351,0.375,0.397,0.413,0.424,0.433,0.438,0.432,0.413,0.386,0.363,0.356,0.37,0.4,0.432,0.456,0.473,0.487,0.504,0.521,0.53,0.524,0.504,0.48,0.459,0.45,0.454,0.468,0.482,0.485,0.47,0.436,0.394,0.359,0.338,0.33,0.331,0.332,0.332,0.337,0.356,0.39,0.429,0.456,0.459,0.442,0.423,0.416,0.428,0.45,0.467,0.467,0.451,0.432,0.422,0.424,0.428,0.418,0.382,0.324,0.265,0.231,0.237,0.278,0.325,0.347,0.329,0.285,0.242,0.223,0.23,0.25,0.265,0.265,0.253,0.242,0.241,0.255,0.277,0.298,0.311,0.315,0.314,0.31,0.308,0.308,0.308,0.308,0.305,0.303,0.307,0.323,0.348,0.376,0.404,0.429,0.454,0.475,0.491,0.499,0.496,0.482,0.458,0.434,0.419,0.421,0.432,0.441,0.44,0.43,0.418,0.417,0.432,0.461,0.49,0.507,0.505,0.49,0.47,0.449,0.428,0.403,0.374,0.345,0.328,0.336,0.375,0.432,0.481,0.5,0.487,0.46,0.444,0.443,0.446,0.442,0.428,0.409,0.395,0.391,0.399,0.417,0.434,0.441,0.43,0.402,0.365,0.325,0.285,0.248,0.219,0.204,0.207,0.228,0.262,0.301,0.342,0.379,0.412,0.438,0.455,0.463,0.46,0.45,0.439,0.432,0.429,0.427,0.42,0.406,0.385,0.361,0.337,0.315,0.3,0.292,0.29,0.291,0.289,0.28,0.266,0.256,0.256,0.274,0.304,0.334,0.351,0.351,0.342,0.331,0.327,0.329,0.333,0.332,0.323,0.312,0.307,0.316,0.335,0.357,0.37,0.373,0.369,0.367,0.37,0.374,0.373,0.364,0.354,0.351,0.364,0.392,0.426,0.454,0.464,0.454,0.435,0.42,0.417,0.424,0.433,0.433,0.42,0.4,0.383,0.374,0.369,0.357,0.329,0.29,0.262,0.264,0.301,0.353,0.393,0.399,0.375,0.339,0.313,0.308,0.323,0.351,0.383,0.408,0.42,0.42,0.413,0.404,0.396,0.392,0.387,0.383,0.38,0.381,0.383,0.382,0.375,0.364,0.353,0.35,0.357,0.372,0.388,0.399,0.4,0.394,0.387,0.384,0.39,0.397,0.4,0.393,0.381,0.376,0.388,0.414,0.442,0.455,0.447,0.424,0.404,0.396,0.403,0.407,0.394,0.358,0.313,0.282,0.279,0.302,0.331,0.346,0.34,0.323,0.309,0.309,0.325,0.353,0.381,0.4,0.406,0.4,0.387,0.375,0.368,0.365,0.366,0.372,0.393,0.438,0.509,0.591,0.663,0.706,0.72,0.714,0.7,0.684,0.67,0.661,0.662,0.678,0.706,0.739,0.762,0.766,0.752,0.73,0.719,0.729,0.751,0.763,0.749,0.71,0.661,0.624,0.612,0.627,0.656,0.673,0.653,0.582,0.482,0.393,0.356,0.379,0.432,0.468,0.456,0.405,0.352,0.338,0.375,0.443,0.51,0.553,0.566,0.56,0.551,0.557,0.583,0.617,0.639,0.635,0.607,0.576,0.557,0.553,0.557,0.557,0.547,0.53,0.512,0.5,0.493,0.484,0.465,0.434,0.407,0.401,0.434,0.504,0.593,0.672,0.713,0.705,0.659,0.601,0.556,0.528,0.506,0.481,0.452,0.432,0.428,0.44,0.457,0.469,0.471,0.467,0.467,0.473,0.485,0.497,0.505,0.506,0.502,0.497,0.495,0.494,0.494,0.491,0.484,0.475,0.465,0.457,0.449,0.442,0.436,0.431,0.427,0.428,0.438,0.458,0.482,0.506,0.521,0.527,0.529,0.532,0.539,0.55,0.562,0.574,0.588,0.608,0.638,0.678,0.718,0.741,0.735,0.706,0.672,0.653,0.648,0.65,0.647,0.637,0.626,0.622,0.63,0.644,0.645,0.615,0.547,0.458,0.378,0.341,0.36,0.428,0.51,0.57,0.589,0.574,0.551,0.539,0.54,0.544,0.541,0.535,0.535,0.546,0.566,0.585,0.595,0.59,0.573,0.547,0.517,0.486,0.456,0.429,0.405,0.387,0.379,0.388,0.414,0.449,0.476,0.481,0.462,0.431,0.412,0.419,0.454,0.502,0.541,0.558,0.556,0.547,0.541,0.535,0.525,0.508,0.488,0.474,0.468,0.471,0.479,0.488,0.493,0.49,0.481,0.474,0.472,0.478,0.488,0.496,0.499,0.497,0.492,0.486,0.479,0.471,0.465,0.46,0.459,0.46,0.465,0.469,0.47,0.467,0.457,0.44,0.421,0.405,0.403,0.416,0.437,0.454,0.461,0.46,0.462,0.476,0.501,0.531,0.56,0.59,0.622,0.652,0.67,0.666,0.644,0.614,0.593,0.588,0.605,0.641,0.692,0.742,0.77,0.76,0.715,0.653,0.608,0.597,0.612,0.63,0.632,0.616,0.59,0.565,0.54,0.511,0.473,0.431,0.398,0.388,0.408,0.455,0.516,0.578,0.637,0.691,0.734,0.75,0.732,0.687,0.634,0.588,0.557,0.542,0.544,0.558,0.576,0.587,0.584,0.565,0.538,0.514,0.506,0.514,0.53,0.542,0.543,0.539,0.539,0.551,0.569,0.584,0.585,0.577,0.567,0.565,0.573,0.581,0.582,0.571,0.557,0.548,0.552,0.56,0.555,0.521,0.458,0.386,0.339,0.338,0.381,0.436,0.465,0.444,0.386,0.32,0.277,0.267,0.281,0.301,0.314,0.319,0.329,0.354,0.397,0.444,0.477,0.486,0.475,0.457,0.443,0.44,0.447,0.46,0.473,0.486,0.499,0.515,0.533,0.547,0.552,0.545,0.531,0.519,0.518,0.534,0.565,0.598,0.619,0.625,0.627,0.639,0.667,0.704,0.734,0.746,0.743,0.738,0.74,0.744,0.737,0.71,0.669,0.627,0.596,0.576,0.563,0.549,0.529,0.502,0.476,0.462,0.472,0.508,0.556,0.601,0.631,0.652,0.671,0.689,0.696,0.683,0.65,0.601,0.548,0.499,0.465,0.457,0.477,0.519,0.568,0.612,0.634,0.628,0.594,0.547,0.503,0.47,0.45,0.442,0.446,0.466,0.498,0.536,0.572,0.604,0.626,0.633,0.616,0.579,0.532,0.493,0.471,0.466,0.468,0.469,0.463,0.449,0.425,0.387,0.338,0.289,0.25,0.225,0.21,0.201,0.194,0.187,0.18,0.173,0.165,0.156,0.149,0.143,0.138,0.135,0.132,0.13,0.127,0.125,0.124,0.131,0.159,0.219,0.313,0.421,0.517,0.58,0.612,0.624,0.632,0.643,0.656,0.664,0.661,0.645,0.621,0.597,0.583,0.581,0.585,0.583,0.571,0.557,0.55,0.559,0.576,0.59,0.593,0.586,0.58,0.587,0.605,0.62,0.607,0.554,0.478,0.417,0.41,0.464,0.546,0.61,0.625,0.599,0.562,0.538,0.536,0.549,0.57,0.593,0.622,0.658,0.697,0.728,0.737,0.721,0.69,0.658,0.632,0.616,0.612,0.624,0.648,0.668,0.67,0.651,0.624,0.602,0.595,0.598,0.605,0.604,0.597,0.591,0.595,0.615,0.64,0.656,0.652,0.631,0.608,0.597,0.603,0.614,0.617,0.602,0.576,0.555,0.552,0.565,0.575,0.559,0.509,0.447,0.41,0.422,0.478,0.539,0.57,0.559,0.528,0.508,0.515,0.542,0.575,0.601,0.619,0.632,0.643,0.649,0.647,0.634,0.613,0.591,0.574,0.565,0.566,0.579,0.599,0.618,0.625,0.617,0.603,0.598,0.608,0.633,0.659,0.671,0.665,0.646,0.626,0.617,0.617,0.62,0.619,0.611,0.603,0.599,0.605,0.615,0.623,0.623,0.615,0.604,0.597,0.601,0.609,0.602,0.564,0.495,0.428,0.401,0.432,0.491,0.53,0.513,0.452,0.388,0.364,0.391,0.447,0.498,0.519,0.512,0.493,0.482,0.491,0.515,0.544,0.563,0.567,0.56,0.548,0.534,0.52,0.507,0.495,0.487,0.486,0.491,0.5,0.504,0.493,0.465,0.427,0.394,0.381,0.396,0.43,0.471,0.504,0.525,0.54,0.556,0.577,0.594,0.595,0.575,0.54,0.502,0.474,0.463,0.47,0.486,0.503,0.51,0.507,0.499,0.492,0.489,0.487,0.484,0.475,0.458,0.441,0.43,0.436,0.456,0.483,0.506,0.52,0.523,0.518,0.507,0.493,0.479,0.468,0.465,0.474,0.497,0.532,0.57,0.6,0.616,0.615,0.602,0.59,0.594,0.613,0.638,0.65,0.644,0.63,0.624,0.634,0.652,0.665,0.663,0.652,0.643,0.644,0.656,0.667,0.664,0.643,0.609,0.576,0.562,0.571,0.588,0.587,0.547,0.477,0.414,0.391,0.415,0.457,0.479,0.46,0.417,0.384,0.388,0.429,0.48,0.514,0.518,0.501,0.482,0.478,0.496,0.523,0.547,0.555,0.549,0.535,0.523,0.513,0.505,0.495,0.483,0.474,0.473,0.48,0.491,0.497,0.491,0.473,0.453,0.439,0.439,0.453,0.476,0.499,0.515,0.524,0.53,0.535,0.538,0.532,0.519,0.503,0.49,0.483,0.481,0.484,0.492,0.504,0.513,0.519,0.521,0.523,0.526,0.53,0.532,0.531,0.528,0.524,0.523,0.525,0.529,0.532,0.533,0.53,0.521,0.507,0.491,0.475,0.461,0.451,0.438,0.422,0.406,0.402,0.418,0.452,0.489,0.516,0.526,0.526,0.52,0.51,0.494,0.469,0.442,0.42,0.41,0.417,0.438,0.47,0.501,0.526,0.542,0.552,0.559,0.563,0.559,0.543,0.518,0.491,0.469,0.458,0.461,0.475,0.495,0.513,0.528,0.539,0.545,0.54,0.526,0.504,0.485,0.473,0.469,0.471,0.477,0.484,0.49,0.492,0.493,0.494,0.496,0.494,0.481,0.457,0.429,0.408,0.402,0.41,0.429,0.453,0.475,0.49,0.497,0.501,0.509,0.524,0.543,0.557,0.559,0.55,0.539,0.538,0.553,0.574,0.589,0.585,0.565,0.543,0.535,0.546,0.567,0.582,0.58,0.564,0.548,0.549,0.566,0.584,0.579,0.54,0.482,0.437,0.429,0.46,0.507,0.533,0.519,0.469,0.411,0.375,0.374,0.399,0.429,0.446,0.444,0.433,0.428,0.44,0.47,0.506,0.531,0.538,0.529,0.515,0.5,0.483,0.461,0.435,0.41,0.393,0.388,0.401,0.431,0.466,0.489,0.483,0.454,0.42,0.404,0.418,0.454,0.493,0.521,0.53,0.524,0.509,0.49,0.468,0.44,0.407,0.38,0.369,0.387,0.433,0.493,0.547,0.58,0.593,0.596,0.596,0.596,0.588,0.566,0.53,0.486,0.445,0.417,0.408,0.416,0.432,0.447,0.459,0.469,0.482,0.498,0.508,0.5,0.47,0.423,0.375,0.344,0.339,0.358,0.388,0.418,0.44,0.455,0.468,0.477,0.479,0.47,0.453,0.437,0.425,0.422,0.426,0.436,0.451,0.467,0.481,0.494,0.505,0.516,0.523,0.521,0.507,0.488,0.471,0.464,0.471,0.492,0.518,0.537,0.544,0.54,0.532,0.527,0.527,0.529,0.524,0.508,0.482,0.454,0.439,0.447,0.472,0.5,0.518,0.519,0.509,0.494,0.481,0.473,0.469,0.466,0.463,0.46,0.462,0.476,0.499,0.526,0.55,0.57,0.587,0.603,0.624,0.651,0.681,0.706,0.714,0.706,0.692,0.688,0.694,0.702,0.699,0.684,0.666,0.654,0.651,0.649,0.644,0.634,0.626,0.626,0.64,0.662,0.675,0.66,0.608,0.533,0.469,0.446,0.469,0.509,0.529,0.509,0.46,0.419,0.414,0.446,0.493,0.529,0.538,0.528,0.515,0.515,0.537,0.574,0.609,0.627,0.621,0.598,0.57,0.544,0.522,0.5,0.473,0.447,0.429,0.432,0.456,0.487,0.508,0.506,0.487,0.466,0.46,0.477,0.508,0.539,0.557,0.56,0.555,0.55,0.552,0.56,0.57,0.575,0.574,0.567,0.557,0.549,0.544,0.542,0.543,0.544,0.542,0.531,0.507,0.474,0.441,0.416,0.405,0.408,0.42,0.438,0.456,0.471,0.479,0.48,0.476,0.469,0.461,0.456,0.451,0.448,0.444,0.442,0.446,0.459,0.483,0.509,0.532,0.545,0.549,0.55,0.555,0.57,0.591,0.61,0.614,0.603,0.589,0.591,0.617,0.656,0.688,0.692,0.675,0.654,0.649,0.661,0.677,0.68,0.667,0.645,0.632,0.637,0.655,0.664,0.64,0.576,0.489,0.417,0.393,0.422,0.48,0.527,0.539,0.516,0.477,0.449,0.443,0.455,0.477,0.499,0.522,0.549,0.577,0.598,0.603,0.59,0.568,0.552,0.549,0.559,0.57,0.573,0.562,0.538,0.507,0.472,0.441,0.414,0.389,0.366,0.345,0.332,0.334,0.355,0.393,0.44,0.483,0.514,0.53,0.539,0.548,0.563,0.582,0.601,0.612,0.611,0.598,0.575,0.55,0.527,0.51,0.496,0.483,0.47,0.456,0.443,0.433,0.425,0.419,0.415,0.416,0.424,0.442,0.466,0.487,0.497,0.493,0.476,0.457,0.441,0.434,0.433,0.435,0.432,0.419,0.397,0.372,0.349,0.334,0.331,0.34,0.362,0.393,0.429,0.462,0.485,0.493,0.488,0.479,0.476,0.485,0.512,0.552,0.591,0.612,0.615,0.609,0.609,0.619,0.626,0.618,0.591,0.554,0.523,0.511,0.527,0.565,0.61,0.646,0.663,0.666,0.663,0.659,0.651,0.637,0.617,0.598,0.587,0.59,0.608,0.638,0.669,0.691,0.699,0.697,0.69,0.673,0.64,0.594,0.542,0.503,0.486,0.491,0.511,0.536,0.557,0.566,0.559,0.537,0.511,0.49,0.482,0.486,0.493,0.496,0.496,0.5,0.516,0.54,0.561,0.567,0.558,0.544,0.536,0.539,0.546,0.547,0.538,0.522,0.51,0.51,0.525,0.547,0.555,0.531,0.471,0.396,0.342,0.334,0.371,0.421,0.447,0.434,0.397,0.364,0.356,0.374,0.405,0.43,0.443,0.446,0.451,0.463,0.483,0.499,0.503,0.49,0.466,0.441,0.426,0.423,0.432,0.445,0.458,0.468,0.479,0.493,0.511,0.53,0.544,0.549,0.545,0.535,0.527,0.53,0.543,0.557,0.561,0.556,0.553,0.558,0.566,0.57,0.563,0.546,0.522,0.5,0.492,0.509,0.549,0.593,0.621,0.626,0.621,0.62,0.625,0.627,0.613,0.58,0.538,0.503,0.491,0.513,0.562,0.621,0.668,0.69,0.686,0.665,0.637,0.604,0.567,0.525,0.484,0.449,0.432,0.44,0.474,0.52,0.561,0.579,0.572,0.544,0.504,0.46,0.42,0.39,0.376,0.377,0.387,0.401,0.42,0.445,0.477,0.512,0.545,0.568,0.579,0.581,0.581,0.588,0.604,0.621,0.631,0.627,0.61,0.582,0.546,0.505,0.466,0.437,0.42,0.413,0.411,0.41,0.407,0.4,0.389,0.375,0.358,0.341,0.325,0.312,0.302,0.293,0.286,0.279,0.271,0.262,0.253,0.246,0.243,0.253,0.279,0.321,0.365,0.397,0.411,0.413,0.415,0.422,0.435,0.445,0.445,0.436,0.425,0.425,0.441,0.466,0.486,0.49,0.478,0.462,0.459,0.475,0.5,0.521,0.525,0.51,0.487,0.468,0.462,0.463,0.458,0.432,0.39,0.352,0.344,0.374,0.423,0.46,0.463,0.437,0.404,0.387,0.4,0.436,0.481,0.52,0.549,0.568,0.577,0.578,0.568,0.552,0.538,0.528,0.524,0.521,0.524,0.533,0.547,0.559,0.562,0.554,0.542,0.529,0.523,0.521,0.52,0.513,0.503,0.494,0.496,0.509,0.525,0.531,0.523,0.506,0.491,0.487,0.494,0.503,0.505,0.496,0.48,0.469,0.469,0.479,0.482,0.462,0.416,0.364,0.332,0.337,0.372,0.409,0.425,0.412,0.387,0.371,0.377,0.401,0.429,0.449,0.456,0.457,0.461,0.475,0.497,0.517,0.527,0.527,0.523,0.523,0.53,0.541,0.548,0.543,0.528,0.507,0.489,0.479,0.479,0.486,0.496,0.503,0.505,0.505,0.507,0.513,0.517,0.516,0.504,0.486,0.473,0.471,0.484,0.5,0.506,0.496,0.474,0.457,0.46,0.484,0.511,0.519,0.497,0.459,0.428,0.428,0.457,0.494,0.515,0.51,0.491,0.476,0.479,0.497,0.522,0.54,0.544,0.535,0.524,0.522,0.531,0.54,0.538,0.522,0.504,0.497,0.509,0.538,0.57,0.588,0.581,0.55,0.511,0.482,0.474,0.483,0.496,0.499,0.481,0.445,0.401,0.367,0.352,0.353,0.358,0.36,0.366,0.388,0.432,0.486,0.532,0.554,0.551,0.537,0.527,0.527,0.529,0.517,0.476,0.413,0.347,0.307,0.308,0.348,0.402,0.439,0.442,0.418,0.392,0.387,0.411,0.453,0.494,0.52,0.524,0.513,0.499,0.492,0.498,0.511,0.524,0.531,0.531,0.537,0.559,0.602,0.647,0.67,0.656,0.616,0.567,0.526,0.497,0.476,0.462,0.452,0.445,0.438,0.432,0.426,0.419,0.413,0.408,0.404,0.4,0.394,0.385,0.376,0.369,0.362,0.354,0.344,0.333,0.322,0.313,0.302,0.291,0.279,0.268,0.257,0.247,0.237,0.228,0.222,0.215,0.21,0.203,0.197,0.189,0.182,0.174,0.167,0.159,0.151,0.142,0.133,0.126,0.118,0.11,0.102,0.094,0.087,0.081,0.075,0.069,0.064,0.059,0.055,0.051,0.047,0.044,0.04,0.037,0.034,0.031,0.027,0.024,0.02,0.017,0.014,0.011,0.008,0.006,0.005,0.004,0.004,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0,0,0,0,0,0,0,0,0,0]