[0,0,0,0,0,0,0,0.001,0.005,0.016,0.039,0.071,0.105,0.134,0.155,0.172,0.186,0.198,0.205,0.207,0.205,0.203,0.2,0.198,0.196,0.197,0.205,0.22,0.24,0.254,0.255,0.238,0.213,0.194,0.192,0.206,0.227,0.242,0.245,0.24,0.231,0.223,0.217,0.215,0.218,0.228,0.241,0.251,0.249,0.239,0.227,0.221,0.221,0.223,0.222,0.218,0.219,0.228,0.239,0.241,0.226,0.202,0.18,0.172,0.175,0.183,0.186,0.184,0.179,0.177,0.177,0.177,0.174,0.174,0.182,0.202,0.225,0.24,0.237,0.22,0.201,0.191,0.193,0.201,0.21,0.216,0.218,0.215,0.206,0.195,0.185,0.184,0.188,0.191,0.186,0.171,0.151,0.137,0.135,0.15,0.175,0.203,0.224,0.238,0.254,0.286,0.338,0.396,0.438,0.448,0.433,0.414,0.409,0.418,0.425,0.421,0.413,0.421,0.45,0.486,0.506,0.502,0.485,0.476,0.478,0.482,0.476,0.46,0.449,0.46,0.49,0.521,0.531,0.514,0.482,0.456,0.445,0.445,0.443,0.432,0.423,0.428,0.45,0.478,0.493,0.486,0.466,0.453,0.457,0.47,0.479,0.477,0.471,0.471,0.479,0.483,0.471,0.442,0.412,0.399,0.407,0.42,0.421,0.408,0.398,0.41,0.445,0.484,0.505,0.5,0.486,0.481,0.491,0.5,0.498,0.487,0.485,0.502,0.529,0.546,0.544,0.531,0.524,0.533,0.55,0.561,0.56,0.554,0.557,0.572,0.584,0.574,0.541,0.5,0.479,0.483,0.502,0.511,0.499,0.476,0.464,0.486,0.544,0.621,0.689,0.721,0.708,0.66,0.594,0.53,0.488,0.482,0.519,0.579,0.629,0.632,0.585,0.519,0.483,0.502,0.566,0.629,0.651,0.626,0.575,0.53,0.505,0.502,0.511,0.52,0.517,0.498,0.466,0.428,0.399,0.399,0.435,0.494,0.545,0.563,0.548,0.52,0.501,0.492,0.487,0.477,0.466,0.459,0.462,0.471,0.479,0.483,0.485,0.489,0.497,0.499,0.486,0.45,0.407,0.378,0.379,0.4,0.426,0.439,0.435,0.42,0.409,0.414,0.434,0.452,0.45,0.428,0.403,0.389,0.385,0.377,0.362,0.351,0.36,0.391,0.426,0.444,0.441,0.424,0.408,0.401,0.409,0.429,0.46,0.489,0.504,0.495,0.472,0.452,0.455,0.49,0.556,0.63,0.686,0.706,0.693,0.667,0.648,0.637,0.628,0.613,0.6,0.601,0.62,0.646,0.659,0.647,0.613,0.577,0.563,0.588,0.648,0.723,0.788,0.823,0.82,0.784,0.728,0.669,0.626,0.613,0.632,0.666,0.689,0.688,0.666,0.643,0.63,0.627,0.618,0.594,0.56,0.533,0.523,0.532,0.548,0.561,0.567,0.572,0.575,0.575,0.565,0.543,0.518,0.501,0.497,0.498,0.494,0.487,0.489,0.513,0.553,0.592,0.606,0.589,0.553,0.523,0.516,0.533,0.562,0.588,0.602,0.602,0.589,0.569,0.553,0.546,0.547,0.54,0.515,0.474,0.426,0.387,0.372,0.391,0.442,0.5,0.539,0.543,0.518,0.483,0.454,0.436,0.426,0.421,0.421,0.433,0.46,0.494,0.518,0.524,0.518,0.523,0.551,0.595,0.632,0.646,0.639,0.629,0.626,0.63,0.627,0.614,0.596,0.591,0.601,0.621,0.636,0.637,0.624,0.61,0.601,0.602,0.604,0.602,0.594,0.592,0.604,0.631,0.659,0.675,0.676,0.675,0.682,0.699,0.713,0.715,0.704,0.693,0.689,0.694,0.7,0.701,0.698,0.695,0.691,0.679,0.65,0.604,0.554,0.516,0.503,0.509,0.518,0.514,0.5,0.491,0.499,0.519,0.534,0.533,0.523,0.524,0.541,0.567,0.587,0.594,0.597,0.602,0.6,0.574,0.521,0.467,0.451,0.492,0.564,0.618,0.623,0.589,0.554,0.548,0.579,0.63,0.675,0.697,0.697,0.69,0.69,0.696,0.696,0.681,0.658,0.641,0.637,0.639,0.631,0.602,0.561,0.525,0.51,0.511,0.514,0.505,0.49,0.482,0.488,0.497,0.499,0.49,0.484,0.494,0.521,0.551,0.572,0.582,0.589,0.597,0.59,0.554,0.493,0.438,0.427,0.464,0.518,0.547,0.537,0.51,0.5,0.524,0.575,0.629,0.667,0.679,0.674,0.664,0.658,0.653,0.645,0.633,0.625,0.626,0.633,0.635,0.62,0.586,0.548,0.52,0.511,0.513,0.512,0.501,0.49,0.491,0.508,0.527,0.536,0.53,0.524,0.533,0.557,0.583,0.6,0.607,0.612,0.613,0.596,0.548,0.488,0.452,0.465,0.513,0.554,0.554,0.517,0.475,0.465,0.497,0.556,0.614,0.647,0.651,0.642,0.639,0.653,0.674,0.688,0.685,0.675,0.667,0.662,0.652,0.628,0.595,0.572,0.574,0.603,0.638,0.657,0.651,0.631,0.614,0.614,0.631,0.66,0.691,0.714,0.722,0.715,0.701,0.691,0.686,0.672,0.628,0.542,0.428,0.312,0.218,0.153,0.112,0.084,0.063,0.05,0.05,0.073,0.119,0.184,0.254,0.318,0.373,0.419,0.454,0.474,0.483,0.487,0.495,0.509,0.526,0.532,0.518,0.487,0.455,0.441,0.452,0.478,0.501,0.511,0.514,0.523,0.544,0.571,0.587,0.584,0.569,0.559,0.56,0.569,0.571,0.567,0.568,0.586,0.618,0.645,0.647,0.621,0.584,0.557,0.551,0.559,0.567,0.565,0.558,0.556,0.563,0.572,0.57,0.556,0.537,0.531,0.547,0.579,0.612,0.633,0.64,0.635,0.618,0.581,0.525,0.463,0.421,0.416,0.447,0.488,0.514,0.514,0.505,0.507,0.531,0.565,0.591,0.599,0.598,0.603,0.622,0.652,0.683,0.707,0.721,0.724,0.718,0.7,0.667,0.623,0.584,0.563,0.563,0.574,0.582,0.581,0.578,0.584,0.604,0.631,0.659,0.681,0.698,0.708,0.707,0.692,0.663,0.631,0.606,0.594,0.587,0.573,0.546,0.51,0.486,0.484,0.501,0.519,0.526,0.52,0.517,0.526,0.547,0.563,0.562,0.545,0.531,0.534,0.555,0.575,0.582,0.572,0.562,0.563,0.579,0.593,0.593,0.577,0.557,0.546,0.549,0.556,0.559,0.554,0.551,0.561,0.587,0.615,0.63,0.627,0.617,0.611,0.613,0.614,0.608,0.595,0.583,0.573,0.559,0.527,0.48,0.435,0.418,0.441,0.491,0.534,0.552,0.546,0.544,0.561,0.596,0.624,0.633,0.622,0.606,0.595,0.59,0.586,0.581,0.577,0.585,0.604,0.627,0.64,0.635,0.617,0.604,0.604,0.614,0.621,0.616,0.603,0.591,0.589,0.603,0.628,0.659,0.688,0.71,0.721,0.72,0.707,0.681,0.647,0.605,0.558,0.509,0.457,0.405,0.359,0.322,0.299,0.287,0.282,0.28,0.279,0.277,0.274,0.269,0.262,0.254,0.248,0.246,0.248,0.255,0.264,0.273,0.278,0.278,0.274,0.269,0.264,0.26,0.257,0.256,0.256,0.256,0.254,0.252,0.253,0.26,0.275,0.306,0.361,0.441,0.53,0.6,0.623,0.593,0.538,0.495,0.493,0.529,0.575,0.597,0.582,0.546,0.517,0.514,0.539,0.574,0.603,0.619,0.633,0.654,0.681,0.705,0.715,0.71,0.697,0.678,0.657,0.636,0.628,0.647,0.695,0.749,0.784,0.781,0.749,0.707,0.682,0.678,0.689,0.694,0.685,0.663,0.646,0.644,0.66,0.679,0.69,0.694,0.7,0.708,0.705,0.679,0.632,0.581,0.549,0.542,0.554,0.565,0.565,0.556,0.551,0.556,0.564,0.558,0.538,0.517,0.517,0.539,0.571,0.588,0.581,0.558,0.542,0.544,0.564,0.582,0.588,0.582,0.581,0.595,0.621,0.638,0.634,0.609,0.583,0.573,0.583,0.597,0.6,0.59,0.579,0.571,0.561,0.539,0.506,0.478,0.476,0.499,0.53,0.547,0.542,0.525,0.512,0.51,0.515,0.52,0.524,0.532,0.554,0.587,0.62,0.64,0.649,0.658,0.68,0.714,0.742,0.749,0.733,0.705,0.679,0.663,0.65,0.634,0.617,0.607,0.612,0.627,0.64,0.638,0.624,0.608,0.604,0.612,0.625,0.633,0.634,0.636,0.646,0.66,0.667,0.655,0.627,0.598,0.583,0.582,0.586,0.585,0.578,0.576,0.589,0.61,0.625,0.62,0.597,0.572,0.557,0.554,0.554,0.549,0.546,0.558,0.592,0.636,0.667,0.669,0.643,0.608,0.58,0.566,0.561,0.56,0.561,0.565,0.564,0.549,0.513,0.466,0.431,0.429,0.459,0.504,0.537,0.547,0.541,0.537,0.544,0.556,0.557,0.539,0.504,0.47,0.453,0.462,0.494,0.534,0.568,0.591,0.602,0.604,0.594,0.575,0.554,0.55,0.568,0.6,0.624,0.629,0.618,0.609,0.611,0.622,0.628,0.621,0.606,0.597,0.601,0.613,0.622,0.619,0.608,0.602,0.607,0.625,0.647,0.663,0.669,0.671,0.676,0.687,0.697,0.698,0.688,0.676,0.672,0.676,0.682,0.682,0.678,0.679,0.687,0.698,0.702,0.696,0.686,0.682,0.684,0.683,0.666,0.63,0.583,0.544,0.525,0.527,0.534,0.531,0.516,0.504,0.507,0.528,0.548,0.556,0.552,0.55,0.56,0.577,0.588,0.587,0.577,0.567,0.553,0.524,0.475,0.431,0.428,0.484,0.568,0.634,0.646,0.614,0.575,0.564,0.589,0.639,0.686,0.712,0.714,0.705,0.701,0.704,0.702,0.687,0.664,0.645,0.64,0.641,0.633,0.609,0.572,0.54,0.523,0.519,0.518,0.51,0.499,0.494,0.502,0.517,0.524,0.52,0.514,0.521,0.54,0.558,0.564,0.566,0.575,0.592,0.598,0.569,0.507,0.449,0.438,0.487,0.564,0.623,0.639,0.622,0.599,0.594,0.611,0.639,0.661,0.669,0.667,0.666,0.672,0.679,0.678,0.668,0.658,0.656,0.662,0.667,0.659,0.64,0.619,0.61,0.617,0.633,0.646,0.651,0.652,0.656,0.665,0.675,0.679,0.673,0.664,0.657,0.653,0.646,0.636,0.628,0.632,0.649,0.671,0.685,0.688,0.686,0.685,0.682,0.663,0.62,0.563,0.511,0.492,0.512,0.567,0.629,0.677,0.692,0.683,0.667,0.661,0.666,0.673,0.673,0.67,0.672,0.677,0.675,0.658,0.629,0.607,0.604,0.624,0.649,0.665,0.665,0.659,0.657,0.667,0.688,0.712,0.731,0.742,0.74,0.729,0.714,0.703,0.695,0.681,0.65,0.597,0.53,0.465,0.414,0.377,0.351,0.328,0.308,0.291,0.281,0.28,0.292,0.315,0.345,0.377,0.408,0.436,0.46,0.477,0.488,0.496,0.507,0.523,0.539,0.545,0.53,0.495,0.457,0.436,0.442,0.469,0.496,0.509,0.509,0.511,0.524,0.549,0.567,0.572,0.566,0.563,0.567,0.573,0.571,0.561,0.557,0.573,0.605,0.636,0.641,0.617,0.577,0.547,0.537,0.545,0.556,0.56,0.56,0.565,0.578,0.594,0.599,0.586,0.562,0.546,0.55,0.573,0.602,0.624,0.638,0.642,0.635,0.607,0.557,0.495,0.447,0.433,0.455,0.489,0.513,0.516,0.511,0.516,0.542,0.576,0.601,0.608,0.605,0.607,0.624,0.653,0.685,0.71,0.725,0.727,0.713,0.685,0.645,0.607,0.585,0.583,0.596,0.607,0.606,0.592,0.578,0.574,0.584,0.604,0.627,0.648,0.668,0.686,0.697,0.693,0.674,0.645,0.622,0.607,0.599,0.584,0.554,0.515,0.484,0.474,0.486,0.503,0.515,0.518,0.525,0.542,0.567,0.583,0.579,0.559,0.541,0.539,0.556,0.574,0.581,0.573,0.566,0.569,0.585,0.599,0.599,0.582,0.561,0.55,0.552,0.556,0.553,0.544,0.542,0.556,0.587,0.619,0.637,0.637,0.632,0.634,0.646,0.657,0.655,0.638,0.615,0.593,0.571,0.539,0.494,0.45,0.43,0.447,0.49,0.529,0.546,0.541,0.541,0.558,0.592,0.619,0.628,0.616,0.599,0.588,0.586,0.584,0.58,0.575,0.578,0.594,0.616,0.629,0.628,0.615,0.607,0.61,0.621,0.628,0.625,0.617,0.614,0.618,0.633,0.653,0.674,0.692,0.704,0.706,0.697,0.677,0.652,0.633,0.626,0.625,0.619,0.597,0.568,0.55,0.553,0.567,0.57,0.546,0.503,0.465,0.454,0.465,0.478,0.472,0.45,0.432,0.435,0.454,0.469,0.464,0.446,0.44,0.467,0.523,0.584,0.625,0.634,0.624,0.616,0.622,0.636,0.643,0.633,0.615,0.603,0.606,0.621,0.639,0.65,0.654,0.657,0.664,0.668,0.663,0.65,0.64,0.642,0.656,0.669,0.672,0.666,0.661,0.665,0.672,0.672,0.657,0.632,0.611,0.602,0.601,0.597,0.58,0.555,0.538,0.539,0.551,0.559,0.558,0.557,0.572,0.6,0.627,0.631,0.612,0.58,0.56,0.56,0.577,0.593,0.601,0.602,0.607,0.62,0.637,0.646,0.64,0.62,0.598,0.586,0.582,0.574,0.549,0.508,0.464,0.428,0.4,0.375,0.349,0.32,0.291,0.266,0.246,0.229,0.217,0.207,0.2,0.191,0.176,0.156,0.136,0.124,0.124,0.132,0.14,0.142,0.139,0.138,0.145,0.16,0.177,0.189,0.194,0.194,0.195,0.197,0.204,0.212,0.218,0.22,0.216,0.211,0.205,0.202,0.202,0.204,0.206,0.208,0.209,0.209,0.209,0.209,0.208,0.204,0.198,0.193,0.189,0.187,0.188,0.19,0.194,0.198,0.201,0.2,0.194,0.179,0.156,0.131,0.113,0.109,0.116,0.125,0.122,0.109,0.096,0.097,0.114,0.141,0.165,0.18,0.187,0.191,0.195,0.199,0.201,0.201,0.198,0.196,0.196,0.196,0.198,0.198,0.196,0.194,0.193,0.192,0.194,0.197,0.206,0.235,0.29,0.368,0.446,0.5,0.519,0.518,0.513,0.512,0.508,0.495,0.475,0.457,0.447,0.445,0.447,0.457,0.48,0.514,0.548,0.563,0.549,0.515,0.476,0.448,0.434,0.431,0.431,0.433,0.441,0.458,0.482,0.503,0.51,0.503,0.493,0.493,0.504,0.516,0.52,0.514,0.505,0.503,0.509,0.519,0.52,0.51,0.493,0.483,0.489,0.507,0.521,0.52,0.506,0.495,0.492,0.494,0.485,0.465,0.441,0.427,0.427,0.433,0.441,0.457,0.484,0.519,0.538,0.525,0.473,0.408,0.36,0.351,0.376,0.411,0.437,0.452,0.465,0.487,0.515,0.536,0.538,0.522,0.498,0.483,0.481,0.489,0.496,0.497,0.491,0.487,0.487,0.485,0.472,0.45,0.432,0.439,0.473,0.516,0.541,0.536,0.514,0.495,0.492,0.5,0.502,0.492,0.469,0.445,0.428,0.42,0.422,0.441,0.478,0.528,0.572,0.588,0.568,0.526,0.487,0.474,0.486,0.503,0.502,0.483,0.462,0.463,0.489,0.526,0.554,0.569,0.577,0.587,0.594,0.591,0.576,0.557,0.546,0.551,0.565,0.577,0.575,0.558,0.538,0.528,0.532,0.542,0.544,0.532,0.515,0.507,0.51,0.517,0.519,0.513,0.507,0.511,0.524,0.536,0.535,0.523,0.512,0.51,0.511,0.498,0.465,0.428,0.415,0.443,0.509,0.588,0.655,0.698,0.721,0.732,0.737,0.738,0.729,0.712,0.689,0.668,0.651,0.639,0.629,0.623,0.624,0.628,0.632,0.628,0.62,0.612,0.614,0.624,0.634,0.631,0.613,0.588,0.572,0.573,0.59,0.61,0.619,0.615,0.609,0.614,0.634,0.66,0.678,0.68,0.664,0.638,0.603,0.56,0.522,0.506,0.53,0.585,0.646,0.681,0.679,0.652,0.625,0.614,0.62,0.633,0.641,0.64,0.637,0.64,0.653,0.665,0.665,0.648,0.624,0.603,0.594,0.589,0.582,0.57,0.561,0.565,0.583,0.603,0.614,0.613,0.61,0.612,0.617,0.614,0.599,0.578,0.57,0.583,0.615,0.647,0.666,0.669,0.661,0.644,0.621,0.589,0.561,0.545,0.547,0.556,0.564,0.563,0.565,0.579,0.604,0.631,0.645,0.64,0.621,0.6,0.589,0.589,0.594,0.597,0.596,0.593,0.595,0.603,0.612,0.615,0.611,0.61,0.624,0.655,0.691,0.711,0.705,0.674,0.638,0.616,0.616,0.625,0.627,0.618,0.61,0.616,0.636,0.656,0.66,0.645,0.618,0.582,0.535,0.48,0.439,0.433,0.474,0.539,0.596,0.62,0.612,0.591,0.582,0.595,0.628,0.66,0.674,0.663,0.638,0.618,0.616,0.627,0.64,0.647,0.651,0.66,0.676,0.692,0.701,0.704,0.706,0.709,0.708,0.696,0.677,0.664,0.665,0.676,0.683,0.68,0.671,0.669,0.674,0.677,0.667,0.645,0.624,0.619,0.634,0.652,0.654,0.637,0.611,0.594,0.593,0.603,0.61,0.61,0.608,0.613,0.629,0.648,0.656,0.647,0.626,0.602,0.579,0.554,0.526,0.504,0.504,0.531,0.569,0.593,0.59,0.572,0.562,0.57,0.579,0.558,0.494,0.4,0.305,0.236,0.202,0.2,0.215,0.235,0.247,0.248,0.244,0.246,0.259,0.277,0.29,0.292,0.287,0.285,0.288,0.292,0.296,0.308,0.335,0.372,0.401,0.409,0.394,0.37,0.357,0.363,0.38,0.395,0.396,0.379,0.351,0.32,0.295,0.275,0.257,0.241,0.235,0.25,0.291,0.348,0.404,0.436,0.428,0.379,0.301,0.22,0.164,0.147,0.171,0.22,0.27,0.303,0.311,0.306,0.305,0.317,0.336,0.352,0.355,0.35,0.347,0.355,0.375,0.399,0.413,0.405,0.371,0.321,0.27,0.228,0.196,0.175,0.169,0.183,0.213,0.252,0.284,0.308,0.328,0.354,0.386,0.416,0.432,0.432,0.416,0.389,0.358,0.328,0.304,0.283,0.266,0.248,0.231,0.219,0.214,0.219,0.23,0.243,0.252,0.258,0.261,0.263,0.263,0.263,0.262,0.263,0.267,0.274,0.283,0.294,0.303,0.308,0.308,0.304,0.298,0.294,0.292,0.293,0.3,0.311,0.322,0.329,0.327,0.316,0.302,0.293,0.298,0.323,0.366,0.416,0.457,0.476,0.468,0.438,0.397,0.359,0.334,0.322,0.313,0.293,0.254,0.206,0.174,0.177,0.22,0.281,0.332,0.356,0.356,0.348,0.349,0.362,0.383,0.405,0.424,0.432,0.428,0.41,0.383,0.356,0.344,0.351,0.372,0.389,0.382,0.348,0.3,0.262,0.248,0.265,0.298,0.335,0.359,0.373,0.388,0.421,0.475,0.544,0.607,0.647,0.654,0.633,0.601,0.576,0.57,0.576,0.58,0.564,0.528,0.482,0.449,0.441,0.458,0.482,0.499,0.504,0.507,0.52,0.545,0.568,0.577,0.569,0.559,0.559,0.569,0.576,0.573,0.564,0.567,0.588,0.618,0.633,0.623,0.591,0.561,0.548,0.557,0.572,0.579,0.573,0.565,0.564,0.573,0.578,0.569,0.544,0.523,0.523,0.551,0.589,0.62,0.634,0.634,0.625,0.602,0.558,0.496,0.438,0.41,0.424,0.468,0.507,0.522,0.513,0.506,0.518,0.551,0.583,0.601,0.602,0.602,0.612,0.636,0.666,0.696,0.717,0.728,0.727,0.715,0.688,0.652,0.616,0.593,0.589,0.597,0.604,0.601,0.592,0.589,0.595,0.613,0.635,0.658,0.679,0.698,0.707,0.7,0.676,0.641,0.609,0.589,0.58,0.571,0.552,0.523,0.494,0.48,0.485,0.501,0.513,0.516,0.515,0.521,0.536,0.552,0.556,0.544,0.528,0.524,0.538,0.561,0.574,0.571,0.558,0.551,0.555,0.563,0.564,0.556,0.545,0.542,0.55,0.561,0.565,0.56,0.554,0.56,0.582,0.612,0.635,0.641,0.636,0.63,0.63,0.63,0.623,0.606,0.585,0.569,0.557,0.537,0.501,0.452,0.417,0.416,0.453,0.502,0.536,0.544,0.541,0.549,0.577,0.608,0.627,0.623,0.608,0.591,0.583,0.58,0.578,0.575,0.579,0.593,0.613,0.628,0.627,0.614,0.603,0.607,0.625,0.642,0.644,0.63,0.609,0.594,0.594,0.608,0.632,0.66,0.687,0.71,0.724,0.726,0.713,0.686,0.649,0.612,0.579,0.552,0.528,0.503,0.476,0.449,0.424,0.401,0.38,0.362,0.347,0.338,0.332,0.328,0.324,0.322,0.322,0.324,0.327,0.33,0.334,0.339,0.346,0.354,0.361,0.365,0.364,0.359,0.349,0.338,0.325,0.312,0.301,0.295,0.295,0.3,0.305,0.308,0.306,0.3,0.292,0.284,0.273,0.253,0.219,0.171,0.118,0.069,0.033,0.013,0.003,0.001,0,0,0]