[0,0,0,0,0,0,0.002,0.011,0.04,0.102,0.197,0.312,0.419,0.498,0.542,0.559,0.56,0.551,0.537,0.515,0.486,0.454,0.426,0.405,0.39,0.375,0.358,0.339,0.321,0.307,0.298,0.291,0.284,0.276,0.27,0.263,0.256,0.251,0.254,0.267,0.287,0.303,0.309,0.306,0.3,0.292,0.284,0.277,0.271,0.267,0.263,0.26,0.257,0.256,0.254,0.248,0.239,0.232,0.232,0.242,0.259,0.277,0.292,0.3,0.302,0.295,0.282,0.268,0.258,0.257,0.263,0.27,0.276,0.278,0.275,0.27,0.264,0.265,0.277,0.297,0.318,0.332,0.333,0.327,0.319,0.317,0.32,0.325,0.329,0.332,0.333,0.333,0.332,0.326,0.315,0.306,0.313,0.353,0.427,0.513,0.587,0.632,0.652,0.657,0.656,0.654,0.649,0.633,0.601,0.558,0.523,0.514,0.535,0.571,0.597,0.605,0.602,0.605,0.616,0.625,0.621,0.604,0.583,0.566,0.561,0.567,0.579,0.581,0.565,0.535,0.509,0.504,0.523,0.555,0.585,0.61,0.629,0.639,0.632,0.61,0.581,0.562,0.562,0.58,0.609,0.636,0.648,0.638,0.61,0.579,0.564,0.568,0.585,0.597,0.599,0.598,0.604,0.621,0.638,0.645,0.642,0.636,0.635,0.645,0.663,0.684,0.698,0.702,0.696,0.683,0.664,0.64,0.616,0.603,0.608,0.628,0.649,0.65,0.626,0.585,0.542,0.504,0.472,0.439,0.406,0.376,0.354,0.338,0.327,0.32,0.323,0.334,0.348,0.359,0.364,0.367,0.37,0.37,0.363,0.353,0.344,0.343,0.35,0.363,0.374,0.379,0.373,0.358,0.339,0.319,0.3,0.285,0.281,0.289,0.306,0.323,0.334,0.34,0.339,0.333,0.319,0.299,0.278,0.266,0.267,0.28,0.298,0.312,0.319,0.317,0.309,0.298,0.292,0.294,0.304,0.318,0.331,0.341,0.348,0.354,0.355,0.35,0.336,0.32,0.307,0.301,0.301,0.309,0.32,0.335,0.35,0.363,0.372,0.378,0.382,0.385,0.387,0.386,0.381,0.376,0.374,0.377,0.383,0.386,0.379,0.362,0.338,0.315,0.297,0.28,0.258,0.229,0.201,0.188,0.197,0.222,0.251,0.275,0.291,0.301,0.306,0.306,0.305,0.309,0.318,0.331,0.343,0.352,0.357,0.356,0.348,0.334,0.32,0.31,0.307,0.309,0.309,0.307,0.302,0.297,0.292,0.287,0.279,0.27,0.259,0.246,0.233,0.222,0.214,0.209,0.206,0.207,0.215,0.232,0.251,0.268,0.276,0.279,0.279,0.281,0.288,0.3,0.316,0.332,0.346,0.362,0.39,0.436,0.495,0.551,0.594,0.621,0.641,0.657,0.668,0.673,0.671,0.665,0.66,0.656,0.649,0.638,0.62,0.601,0.585,0.577,0.575,0.576,0.573,0.572,0.575,0.587,0.604,0.62,0.631,0.633,0.626,0.614,0.6,0.589,0.583,0.579,0.577,0.573,0.568,0.564,0.563,0.565,0.566,0.566,0.566,0.567,0.567,0.562,0.552,0.536,0.523,0.518,0.521,0.529,0.538,0.546,0.549,0.547,0.539,0.528,0.518,0.512,0.51,0.513,0.525,0.545,0.572,0.593,0.599,0.59,0.578,0.577,0.592,0.617,0.64,0.648,0.639,0.62,0.605,0.6,0.605,0.615,0.625,0.635,0.643,0.651,0.655,0.652,0.642,0.627,0.613,0.605,0.6,0.595,0.584,0.573,0.566,0.57,0.583,0.598,0.605,0.6,0.583,0.564,0.55,0.549,0.555,0.565,0.572,0.578,0.582,0.587,0.592,0.597,0.599,0.595,0.582,0.565,0.549,0.54,0.539,0.544,0.553,0.567,0.583,0.596,0.601,0.599,0.595,0.595,0.601,0.614,0.632,0.645,0.648,0.636,0.619,0.604,0.6,0.608,0.626,0.649,0.666,0.662,0.63,0.572,0.501,0.432,0.377,0.34,0.318,0.308,0.308,0.322,0.349,0.382,0.409,0.418,0.409,0.398,0.402,0.429,0.478,0.537,0.589,0.622,0.631,0.626,0.621,0.622,0.629,0.635,0.633,0.621,0.598,0.571,0.546,0.536,0.543,0.564,0.586,0.602,0.612,0.619,0.622,0.62,0.611,0.601,0.595,0.594,0.595,0.593,0.587,0.573,0.554,0.538,0.536,0.556,0.587,0.613,0.62,0.616,0.613,0.621,0.629,0.631,0.623,0.617,0.623,0.645,0.673,0.693,0.689,0.655,0.601,0.549,0.512,0.495,0.491,0.5,0.523,0.56,0.601,0.633,0.643,0.636,0.626,0.63,0.65,0.679,0.702,0.706,0.691,0.664,0.637,0.623,0.622,0.632,0.647,0.662,0.671,0.673,0.666,0.652,0.635,0.62,0.612,0.616,0.631,0.647,0.652,0.632,0.583,0.52,0.468,0.454,0.482,0.537,0.59,0.622,0.629,0.626,0.622,0.619,0.616,0.611,0.609,0.615,0.628,0.641,0.646,0.634,0.608,0.577,0.555,0.547,0.545,0.536,0.514,0.49,0.483,0.505,0.544,0.579,0.595,0.597,0.601,0.619,0.65,0.681,0.694,0.681,0.643,0.595,0.547,0.498,0.445,0.395,0.365,0.374,0.422,0.494,0.561,0.605,0.627,0.642,0.66,0.682,0.698,0.702,0.693,0.677,0.661,0.647,0.633,0.618,0.599,0.581,0.57,0.573,0.588,0.611,0.63,0.642,0.648,0.648,0.646,0.644,0.643,0.64,0.633,0.621,0.609,0.607,0.617,0.633,0.641,0.638,0.631,0.629,0.634,0.636,0.629,0.614,0.601,0.597,0.604,0.621,0.64,0.65,0.639,0.609,0.571,0.542,0.529,0.53,0.538,0.551,0.57,0.597,0.629,0.655,0.67,0.674,0.675,0.677,0.685,0.697,0.707,0.705,0.686,0.654,0.624,0.606,0.602,0.605,0.609,0.613,0.621,0.631,0.637,0.633,0.622,0.612,0.611,0.623,0.646,0.671,0.687,0.688,0.679,0.665,0.654,0.642,0.627,0.611,0.601,0.602,0.611,0.617,0.606,0.573,0.523,0.467,0.412,0.362,0.323,0.297,0.283,0.277,0.273,0.27,0.267,0.268,0.271,0.274,0.277,0.276,0.268,0.25,0.227,0.206,0.192,0.188,0.19,0.193,0.195,0.196,0.197,0.199,0.202,0.204,0.206,0.213,0.23,0.268,0.333,0.422,0.52,0.6,0.647,0.656,0.64,0.614,0.585,0.558,0.537,0.524,0.52,0.524,0.527,0.525,0.515,0.503,0.496,0.501,0.519,0.546,0.572,0.586,0.586,0.577,0.569,0.569,0.575,0.583,0.587,0.587,0.581,0.571,0.559,0.547,0.539,0.544,0.563,0.596,0.631,0.654,0.656,0.637,0.604,0.571,0.546,0.533,0.531,0.537,0.549,0.562,0.571,0.57,0.56,0.543,0.528,0.519,0.522,0.538,0.565,0.594,0.61,0.611,0.6,0.591,0.59,0.6,0.615,0.629,0.634,0.628,0.615,0.608,0.615,0.634,0.65,0.652,0.644,0.636,0.635,0.637,0.634,0.62,0.603,0.591,0.588,0.592,0.596,0.596,0.591,0.583,0.577,0.57,0.563,0.555,0.548,0.546,0.55,0.562,0.577,0.59,0.596,0.592,0.584,0.574,0.565,0.559,0.558,0.559,0.563,0.568,0.575,0.582,0.587,0.589,0.592,0.601,0.619,0.641,0.655,0.653,0.637,0.617,0.605,0.604,0.617,0.639,0.661,0.671,0.662,0.635,0.602,0.577,0.567,0.577,0.606,0.646,0.681,0.697,0.688,0.66,0.631,0.615,0.622,0.648,0.679,0.7,0.703,0.693,0.684,0.684,0.692,0.701,0.703,0.694,0.68,0.666,0.653,0.637,0.615,0.593,0.579,0.579,0.591,0.61,0.631,0.648,0.651,0.636,0.608,0.581,0.567,0.563,0.561,0.554,0.541,0.532,0.535,0.549,0.566,0.577,0.58,0.582,0.59,0.61,0.636,0.658,0.664,0.653,0.632,0.615,0.605,0.603,0.606,0.616,0.634,0.655,0.668,0.666,0.651,0.633,0.621,0.617,0.622,0.632,0.642,0.642,0.626,0.598,0.567,0.543,0.529,0.522,0.521,0.531,0.552,0.578,0.598,0.602,0.591,0.576,0.568,0.574,0.593,0.619,0.641,0.65,0.646,0.639,0.643,0.656,0.67,0.675,0.67,0.661,0.652,0.644,0.635,0.624,0.615,0.609,0.608,0.616,0.633,0.655,0.67,0.671,0.655,0.634,0.619,0.613,0.613,0.612,0.607,0.604,0.609,0.621,0.631,0.632,0.621,0.611,0.61,0.625,0.649,0.673,0.681,0.671,0.649,0.63,0.617,0.609,0.606,0.611,0.626,0.646,0.662,0.66,0.64,0.613,0.596,0.603,0.633,0.67,0.695,0.694,0.665,0.617,0.567,0.53,0.515,0.524,0.553,0.593,0.637,0.674,0.692,0.684,0.654,0.621,0.603,0.611,0.637,0.669,0.687,0.686,0.666,0.642,0.622,0.614,0.614,0.619,0.627,0.638,0.647,0.655,0.659,0.661,0.662,0.66,0.648,0.625,0.594,0.566,0.546,0.535,0.529,0.524,0.517,0.511,0.509,0.515,0.53,0.554,0.584,0.621,0.655,0.682,0.692,0.683,0.653,0.608,0.556,0.515,0.5,0.513,0.541,0.562,0.564,0.55,0.53,0.512,0.501,0.508,0.538,0.586,0.633,0.664,0.672,0.669,0.665,0.672,0.689,0.709,0.716,0.706,0.684,0.665,0.656,0.659,0.669,0.682,0.693,0.7,0.7,0.695,0.691,0.686,0.679,0.669,0.657,0.646,0.633,0.61,0.567,0.502,0.421,0.339,0.268,0.218,0.192,0.199,0.247,0.336,0.441,0.532,0.586,0.606,0.609,0.61,0.615,0.62,0.621,0.616,0.604,0.587,0.57,0.561,0.564,0.578,0.592,0.602,0.607,0.611,0.614,0.613,0.608,0.603,0.603,0.608,0.614,0.618,0.614,0.599,0.573,0.549,0.541,0.557,0.587,0.61,0.615,0.609,0.607,0.615,0.625,0.626,0.615,0.604,0.602,0.613,0.632,0.646,0.642,0.615,0.57,0.523,0.487,0.469,0.466,0.478,0.505,0.546,0.592,0.633,0.655,0.662,0.661,0.665,0.677,0.692,0.7,0.694,0.674,0.649,0.63,0.626,0.636,0.654,0.672,0.687,0.698,0.704,0.703,0.688,0.662,0.633,0.615,0.614,0.628,0.648,0.659,0.646,0.605,0.546,0.498,0.484,0.509,0.557,0.6,0.626,0.635,0.638,0.639,0.636,0.626,0.616,0.611,0.617,0.629,0.643,0.65,0.645,0.624,0.597,0.576,0.566,0.561,0.548,0.521,0.494,0.489,0.515,0.56,0.598,0.612,0.605,0.594,0.593,0.605,0.622,0.631,0.622,0.593,0.556,0.517,0.479,0.444,0.426,0.437,0.482,0.542,0.593,0.62,0.632,0.639,0.648,0.659,0.673,0.686,0.691,0.681,0.655,0.625,0.606,0.6,0.602,0.602,0.6,0.604,0.62,0.644,0.662,0.663,0.648,0.627,0.61,0.601,0.603,0.612,0.626,0.635,0.638,0.636,0.634,0.635,0.635,0.631,0.623,0.617,0.618,0.624,0.627,0.624,0.617,0.614,0.618,0.628,0.637,0.639,0.63,0.607,0.575,0.543,0.518,0.503,0.497,0.497,0.507,0.528,0.561,0.599,0.63,0.651,0.66,0.665,0.669,0.674,0.681,0.688,0.688,0.675,0.653,0.632,0.623,0.628,0.64,0.65,0.653,0.647,0.633,0.617,0.609,0.614,0.626,0.634,0.634,0.629,0.625,0.625,0.626,0.629,0.634,0.637,0.637,0.627,0.612,0.599,0.598,0.609,0.626,0.635,0.633,0.624,0.616,0.614,0.616,0.622,0.63,0.641,0.653,0.664,0.672,0.677,0.678,0.673,0.664,0.656,0.656,0.664,0.673,0.673,0.662,0.646,0.633,0.626,0.624,0.624,0.626,0.627,0.627,0.626,0.626,0.628,0.628,0.625,0.619,0.616,0.621,0.633,0.645,0.649,0.643,0.633,0.625,0.622,0.623,0.624,0.623,0.619,0.609,0.599,0.592,0.593,0.601,0.612,0.622,0.633,0.642,0.646,0.635,0.613,0.588,0.574,0.578,0.599,0.629,0.658,0.669,0.663,0.646,0.634,0.635,0.65,0.67,0.689,0.701,0.705,0.699,0.681,0.656,0.629,0.61,0.602,0.603,0.609,0.612,0.612,0.61,0.609,0.609,0.61,0.607,0.6,0.586,0.571,0.559,0.551,0.547,0.542,0.539,0.54,0.544,0.55,0.554,0.555,0.552,0.546,0.538,0.531,0.527,0.528,0.531,0.536,0.541,0.547,0.549,0.543,0.526,0.501,0.476,0.461,0.458,0.465,0.477,0.492,0.507,0.52,0.529,0.535,0.539,0.543,0.546,0.547,0.544,0.539,0.538,0.545,0.56,0.58,0.598,0.611,0.621,0.634,0.654,0.675,0.686,0.678,0.657,0.635,0.625,0.629,0.64,0.65,0.657,0.663,0.668,0.669,0.661,0.647,0.635,0.632,0.636,0.64,0.639,0.629,0.614,0.595,0.581,0.575,0.576,0.58,0.581,0.578,0.578,0.586,0.601,0.617,0.627,0.627,0.625,0.624,0.63,0.639,0.646,0.648,0.645,0.641,0.641,0.649,0.662,0.673,0.679,0.681,0.68,0.679,0.675,0.663,0.642,0.618,0.601,0.598,0.61,0.63,0.65,0.66,0.656,0.641,0.624,0.611,0.603,0.601,0.61,0.629,0.655,0.675,0.684,0.687,0.69,0.695,0.7,0.703,0.709,0.717,0.724,0.721,0.708,0.689,0.668,0.648,0.634,0.631,0.641,0.665,0.695,0.722,0.733,0.725,0.707,0.694,0.695,0.709,0.727,0.74,0.741,0.734,0.724,0.72,0.726,0.74,0.755,0.762,0.76,0.753,0.742,0.728,0.706,0.677,0.647,0.623,0.608,0.602,0.603,0.611,0.622,0.631,0.637,0.637,0.637,0.642,0.653,0.668,0.68,0.686,0.682,0.671,0.657,0.646,0.643,0.649,0.663,0.679,0.69,0.69,0.675,0.648,0.623,0.611,0.614,0.629,0.649,0.669,0.68,0.673,0.651,0.628,0.622,0.639,0.667,0.694,0.713,0.723,0.722,0.703,0.667,0.627,0.597,0.586,0.595,0.619,0.649,0.677,0.694,0.692,0.668,0.625,0.576,0.536,0.514,0.504,0.496,0.485,0.473,0.466,0.47,0.479,0.487,0.488,0.479,0.46,0.434,0.413,0.406,0.419,0.448,0.479,0.498,0.501,0.49,0.47,0.45,0.433,0.42,0.412,0.409,0.413,0.424,0.438,0.445,0.436,0.399,0.331,0.241,0.155,0.104,0.117,0.201,0.335,0.477,0.586,0.642,0.66,0.662,0.669,0.684,0.697,0.695,0.665,0.613,0.553,0.507,0.484,0.483,0.497,0.52,0.552,0.593,0.634,0.661,0.664,0.645,0.62,0.605,0.609,0.628,0.652,0.665,0.66,0.641,0.624,0.619,0.627,0.641,0.655,0.668,0.681,0.691,0.691,0.678,0.657,0.639,0.632,0.635,0.645,0.653,0.654,0.644,0.626,0.606,0.598,0.607,0.626,0.64,0.642,0.639,0.638,0.644,0.648,0.646,0.637,0.63,0.633,0.645,0.662,0.673,0.67,0.651,0.623,0.596,0.577,0.571,0.576,0.593,0.623,0.662,0.695,0.709,0.696,0.668,0.639,0.625,0.63,0.65,0.672,0.682,0.669,0.632,0.58,0.527,0.479,0.436,0.406,0.404,0.444,0.519,0.605,0.673,0.708,0.713,0.7,0.686,0.683,0.695,0.709,0.714,0.702,0.683,0.664,0.651,0.646,0.652,0.666,0.686,0.704,0.715,0.718,0.711,0.697,0.68,0.664,0.653,0.65,0.655,0.664,0.669,0.669,0.664,0.661,0.663,0.666,0.663,0.648,0.627,0.611,0.609,0.615,0.621,0.62,0.614,0.609,0.609,0.615,0.625,0.635,0.634,0.618,0.589,0.557,0.534,0.524,0.528,0.543,0.569,0.601,0.634,0.658,0.671,0.673,0.672,0.67,0.671,0.677,0.686,0.693,0.692,0.682,0.672,0.668,0.671,0.678,0.683,0.684,0.683,0.677,0.666,0.652,0.644,0.643,0.646,0.648,0.648,0.654,0.667,0.683,0.691,0.685,0.67,0.655,0.645,0.643,0.644,0.651,0.662,0.677,0.689,0.69,0.68,0.666,0.655,0.654,0.66,0.669,0.675,0.674,0.67,0.669,0.674,0.684,0.691,0.69,0.68,0.667,0.655,0.652,0.654,0.658,0.663,0.67,0.68,0.69,0.696,0.693,0.681,0.662,0.644,0.635,0.636,0.644,0.655,0.666,0.674,0.682,0.687,0.687,0.678,0.659,0.638,0.624,0.624,0.64,0.662,0.682,0.692,0.694,0.695,0.701,0.713,0.73,0.743,0.748,0.741,0.725,0.705,0.688,0.679,0.68,0.686,0.694,0.703,0.715,0.724,0.724,0.713,0.698,0.693,0.701,0.717,0.73,0.733,0.728,0.72,0.709,0.698,0.684,0.672,0.664,0.664,0.669,0.675,0.68,0.682,0.677,0.665,0.65,0.64,0.643,0.658,0.675,0.687,0.687,0.678,0.662,0.641,0.621,0.606,0.601,0.607,0.621,0.637,0.651,0.658,0.656,0.646,0.634,0.627,0.627,0.633,0.643,0.653,0.663,0.672,0.679,0.683,0.682,0.68,0.68,0.684,0.692,0.7,0.703,0.696,0.682,0.667,0.662,0.668,0.681,0.691,0.698,0.701,0.704,0.707,0.71,0.71,0.706,0.698,0.684,0.673,0.669,0.673,0.679,0.681,0.676,0.669,0.664,0.663,0.661,0.655,0.643,0.629,0.616,0.602,0.586,0.567,0.553,0.546,0.549,0.557,0.565,0.569,0.567,0.561,0.552,0.54,0.526,0.51,0.492,0.47,0.45,0.439,0.446,0.468,0.493,0.507,0.503,0.49,0.477,0.468,0.465,0.471,0.491,0.522,0.56,0.597,0.628,0.646,0.647,0.63,0.611,0.604,0.616,0.638,0.658,0.668,0.672,0.675,0.682,0.69,0.695,0.691,0.677,0.654,0.629,0.61,0.602,0.604,0.614,0.629,0.649,0.668,0.678,0.675,0.66,0.642,0.634,0.638,0.653,0.671,0.683,0.682,0.672,0.661,0.659,0.67,0.686,0.7,0.705,0.703,0.698,0.692,0.682,0.668,0.654,0.644,0.642,0.647,0.655,0.663,0.666,0.662,0.653,0.647,0.651,0.665,0.679,0.682,0.673,0.661,0.656,0.657,0.656,0.649,0.636,0.625,0.625,0.638,0.658,0.673,0.673,0.657,0.632,0.61,0.599,0.599,0.604,0.611,0.62,0.631,0.641,0.647,0.644,0.635,0.628,0.628,0.639,0.656,0.672,0.681,0.677,0.661,0.644,0.637,0.646,0.667,0.69,0.709,0.717,0.716,0.706,0.694,0.683,0.674,0.668,0.67,0.683,0.705,0.724,0.729,0.72,0.707,0.699,0.699,0.702,0.701,0.696,0.691,0.69,0.692,0.69,0.681,0.667,0.652,0.637,0.625,0.615,0.611,0.615,0.624,0.635,0.643,0.651,0.66,0.666,0.667,0.663,0.66,0.664,0.671,0.674,0.668,0.655,0.644,0.638,0.638,0.642,0.646,0.643,0.628,0.601,0.571,0.549,0.537,0.535,0.538,0.546,0.56,0.581,0.604,0.622,0.631,0.633,0.636,0.644,0.659,0.677,0.688,0.684,0.664,0.638,0.62,0.617,0.626,0.637,0.648,0.66,0.675,0.685,0.682,0.664,0.639,0.617,0.608,0.61,0.622,0.639,0.652,0.652,0.638,0.616,0.599,0.591,0.59,0.594,0.605,0.624,0.65,0.673,0.682,0.677,0.667,0.666,0.676,0.694,0.71,0.715,0.703,0.677,0.645,0.62,0.612,0.619,0.634,0.647,0.656,0.662,0.667,0.667,0.659,0.644,0.628,0.621,0.627,0.647,0.669,0.681,0.667,0.627,0.572,0.52,0.487,0.475,0.48,0.496,0.521,0.549,0.576,0.597,0.612,0.622,0.634,0.65,0.668,0.686,0.699,0.701,0.692,0.672,0.653,0.645,0.65,0.664,0.679,0.688,0.686,0.676,0.661,0.651,0.652,0.662,0.675,0.68,0.677,0.669,0.661,0.652,0.642,0.633,0.625,0.619,0.612,0.604,0.597,0.593,0.591,0.584,0.567,0.538,0.5,0.459,0.415,0.372,0.335,0.309,0.295,0.288,0.281,0.273,0.265,0.261,0.261,0.262,0.262,0.26,0.253,0.24,0.224,0.207,0.192,0.183,0.181,0.183,0.187,0.186,0.181,0.174,0.168,0.168,0.174,0.185,0.198,0.208,0.213,0.208,0.187,0.154,0.118,0.09,0.075,0.071,0.073,0.075,0.074,0.07,0.061,0.048,0.036,0.026,0.02,0.017,0.016,0.014,0.013,0.011,0.009,0.007,0.005,0.003,0.002,0.002,0.001,0.001,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]