[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.002,0.002,0.002,0.002,0.002,0.003,0.003,0.004,0.004,0.005,0.006,0.006,0.007,0.008,0.009,0.01,0.011,0.012,0.013,0.013,0.014,0.014,0.015,0.016,0.018,0.019,0.021,0.022,0.022,0.022,0.023,0.025,0.028,0.032,0.036,0.038,0.037,0.034,0.031,0.029,0.029,0.032,0.036,0.04,0.044,0.048,0.051,0.054,0.057,0.06,0.064,0.069,0.074,0.078,0.083,0.088,0.094,0.1,0.108,0.113,0.117,0.119,0.122,0.128,0.134,0.138,0.138,0.136,0.135,0.136,0.141,0.15,0.159,0.166,0.169,0.169,0.166,0.159,0.152,0.145,0.142,0.142,0.147,0.155,0.168,0.184,0.201,0.218,0.234,0.245,0.249,0.249,0.248,0.249,0.252,0.255,0.254,0.251,0.249,0.25,0.253,0.255,0.256,0.257,0.256,0.253,0.246,0.238,0.234,0.239,0.248,0.255,0.253,0.244,0.236,0.234,0.237,0.24,0.236,0.225,0.214,0.206,0.205,0.208,0.213,0.219,0.227,0.237,0.249,0.26,0.269,0.276,0.284,0.292,0.299,0.299,0.29,0.277,0.266,0.266,0.279,0.302,0.335,0.384,0.455,0.54,0.614,0.652,0.646,0.613,0.568,0.524,0.485,0.46,0.461,0.491,0.539,0.591,0.637,0.675,0.702,0.714,0.699,0.65,0.572,0.481,0.399,0.338,0.301,0.285,0.293,0.334,0.407,0.494,0.569,0.61,0.62,0.617,0.619,0.631,0.648,0.657,0.651,0.632,0.612,0.601,0.598,0.588,0.554,0.492,0.408,0.314,0.227,0.157,0.111,0.087,0.077,0.073,0.073,0.073,0.076,0.08,0.085,0.091,0.096,0.098,0.095,0.089,0.082,0.075,0.071,0.069,0.068,0.069,0.072,0.085,0.122,0.196,0.311,0.447,0.564,0.625,0.612,0.534,0.42,0.301,0.206,0.156,0.16,0.217,0.311,0.416,0.499,0.532,0.504,0.433,0.363,0.336,0.36,0.401,0.418,0.401,0.375,0.373,0.396,0.423,0.43,0.412,0.381,0.356,0.354,0.38,0.426,0.47,0.489,0.471,0.432,0.398,0.388,0.406,0.441,0.475,0.497,0.501,0.492,0.478,0.467,0.459,0.447,0.428,0.399,0.362,0.326,0.299,0.287,0.289,0.294,0.299,0.307,0.331,0.378,0.441,0.502,0.543,0.551,0.524,0.466,0.383,0.293,0.217,0.173,0.165,0.186,0.216,0.239,0.245,0.237,0.23,0.24,0.276,0.33,0.373,0.376,0.331,0.258,0.189,0.147,0.135,0.148,0.181,0.232,0.3,0.379,0.452,0.509,0.542,0.551,0.541,0.518,0.482,0.434,0.379,0.327,0.296,0.302,0.351,0.431,0.511,0.567,0.585,0.574,0.553,0.536,0.523,0.508,0.482,0.445,0.405,0.38,0.38,0.409,0.458,0.509,0.545,0.557,0.541,0.501,0.444,0.384,0.335,0.312,0.323,0.37,0.443,0.523,0.592,0.639,0.661,0.657,0.626,0.571,0.5,0.433,0.391,0.392,0.433,0.495,0.551,0.581,0.583,0.565,0.536,0.497,0.445,0.384,0.324,0.285,0.282,0.32,0.391,0.471,0.536,0.567,0.563,0.537,0.504,0.469,0.433,0.395,0.359,0.332,0.321,0.324,0.332,0.335,0.328,0.315,0.304,0.297,0.292,0.282,0.262,0.233,0.202,0.175,0.158,0.15,0.15,0.154,0.158,0.16,0.161,0.162,0.164,0.167,0.171,0.174,0.176,0.175,0.175,0.177,0.18,0.183,0.183,0.179,0.173,0.175,0.194,0.237,0.301,0.369,0.418,0.438,0.43,0.401,0.355,0.297,0.235,0.182,0.153,0.159,0.204,0.275,0.346,0.388,0.39,0.361,0.329,0.313,0.324,0.351,0.373,0.367,0.325,0.26,0.2,0.167,0.171,0.212,0.274,0.332,0.364,0.361,0.333,0.301,0.29,0.314,0.373,0.452,0.522,0.561,0.56,0.526,0.47,0.402,0.333,0.274,0.239,0.238,0.267,0.305,0.322,0.3,0.244,0.177,0.124,0.098,0.099,0.128,0.185,0.266,0.356,0.431,0.476,0.49,0.495,0.506,0.527,0.552,0.574,0.595,0.619,0.647,0.673,0.69,0.682,0.637,0.554,0.456,0.38,0.352,0.365,0.387,0.384,0.353,0.312,0.291,0.305,0.354,0.423,0.493,0.552,0.591,0.61,0.612,0.6,0.579,0.551,0.516,0.471,0.419,0.366,0.327,0.317,0.342,0.397,0.467,0.537,0.587,0.599,0.561,0.479,0.377,0.287,0.233,0.224,0.258,0.319,0.391,0.457,0.506,0.541,0.567,0.591,0.612,0.63,0.638,0.633,0.615,0.594,0.578,0.571,0.566,0.561,0.565,0.588,0.631,0.678,0.705,0.698,0.655,0.588,0.512,0.443,0.39,0.365,0.372,0.409,0.459,0.499,0.51,0.487,0.442,0.394,0.352,0.321,0.301,0.292,0.292,0.3,0.312,0.324,0.334,0.335,0.323,0.298,0.265,0.234,0.211,0.202,0.205,0.214,0.228,0.244,0.261,0.278,0.294,0.308,0.321,0.331,0.339,0.344,0.345,0.346,0.347,0.351,0.357,0.365,0.372,0.375,0.374,0.369,0.363,0.356,0.346,0.333,0.315,0.294,0.272,0.253,0.237,0.226,0.219,0.214,0.209,0.202,0.192,0.179,0.164,0.15,0.139,0.133,0.13,0.131,0.135,0.143,0.153,0.163,0.171,0.172,0.167,0.157,0.147,0.14,0.137,0.136,0.138,0.14,0.143,0.147,0.15,0.152,0.15,0.146,0.14,0.132,0.126,0.131,0.162,0.231,0.332,0.43,0.484,0.47,0.402,0.322,0.283,0.313,0.406,0.518,0.6,0.621,0.589,0.53,0.47,0.421,0.388,0.368,0.358,0.354,0.355,0.366,0.389,0.414,0.425,0.406,0.356,0.287,0.224,0.197,0.224,0.304,0.406,0.481,0.489,0.429,0.328,0.228,0.155,0.124,0.133,0.179,0.246,0.308,0.333,0.306,0.242,0.179,0.155,0.184,0.253,0.33,0.388,0.42,0.439,0.453,0.459,0.442,0.393,0.319,0.241,0.176,0.139,0.133,0.16,0.215,0.287,0.358,0.41,0.43,0.417,0.371,0.305,0.234,0.178,0.152,0.163,0.213,0.289,0.373,0.44,0.475,0.483,0.481,0.488,0.514,0.554,0.602,0.646,0.681,0.699,0.69,0.645,0.565,0.472,0.399,0.371,0.38,0.397,0.388,0.342,0.275,0.21,0.168,0.149,0.151,0.169,0.209,0.271,0.353,0.436,0.497,0.527,0.527,0.51,0.487,0.469,0.462,0.472,0.5,0.541,0.581,0.602,0.601,0.587,0.576,0.567,0.557,0.541,0.518,0.489,0.451,0.406,0.361,0.336,0.345,0.39,0.458,0.522,0.554,0.54,0.487,0.416,0.357,0.333,0.352,0.4,0.445,0.465,0.453,0.423,0.386,0.349,0.311,0.276,0.252,0.241,0.239,0.239,0.237,0.233,0.231,0.23,0.229,0.229,0.229,0.234,0.243,0.253,0.262,0.27,0.279,0.288,0.291,0.286,0.271,0.248,0.223,0.202,0.189,0.187,0.192,0.202,0.216,0.231,0.248,0.265,0.281,0.295,0.305,0.314,0.325,0.343,0.381,0.449,0.547,0.657,0.745,0.78,0.755,0.683,0.596,0.531,0.511,0.543,0.605,0.664,0.689,0.672,0.624,0.564,0.506,0.449,0.388,0.325,0.271,0.241,0.244,0.278,0.333,0.393,0.443,0.472,0.48,0.479,0.477,0.481,0.487,0.489,0.486,0.48,0.482,0.493,0.503,0.496,0.46,0.398,0.331,0.285,0.279,0.315,0.373,0.425,0.448,0.438,0.406,0.374,0.363,0.384,0.433,0.489,0.526,0.529,0.502,0.461,0.428,0.412,0.417,0.424,0.414,0.376,0.318,0.263,0.235,0.252,0.312,0.398,0.478,0.521,0.511,0.458,0.391,0.341,0.324,0.328,0.329,0.303,0.252,0.188,0.132,0.091,0.066,0.057,0.066,0.104,0.18,0.289,0.404,0.494,0.536,0.529,0.486,0.43,0.381,0.355,0.357,0.376,0.395,0.404,0.397,0.375,0.346,0.324,0.328,0.368,0.437,0.508,0.55,0.548,0.507,0.446,0.38,0.322,0.284,0.282,0.325,0.412,0.52,0.616,0.665,0.649,0.572,0.458,0.344,0.262,0.233,0.254,0.298,0.331,0.333,0.31,0.289,0.293,0.323,0.353,0.355,0.319,0.265,0.227,0.234,0.295,0.391,0.491,0.56,0.582,0.56,0.513,0.457,0.401,0.344,0.287,0.234,0.19,0.16,0.144,0.138,0.141,0.149,0.159,0.17,0.184,0.2,0.214,0.223,0.224,0.215,0.201,0.186,0.177,0.175,0.18,0.187,0.192,0.191,0.187,0.181,0.173,0.164,0.155,0.149,0.148,0.152,0.16,0.171,0.186,0.202,0.219,0.235,0.247,0.253,0.252,0.251,0.252,0.256,0.257,0.253,0.247,0.243,0.245,0.251,0.257,0.261,0.263,0.26,0.253,0.243,0.236,0.236,0.242,0.252,0.256,0.251,0.241,0.232,0.23,0.233,0.235,0.231,0.222,0.212,0.208,0.208,0.212,0.217,0.222,0.229,0.238,0.247,0.256,0.265,0.273,0.283,0.293,0.3,0.3,0.289,0.268,0.241,0.213,0.189,0.173,0.166,0.165,0.17,0.178,0.187,0.195,0.2,0.205,0.215,0.24,0.287,0.355,0.434,0.506,0.562,0.597,0.61,0.598,0.56,0.501,0.438,0.391,0.372,0.372,0.374,0.368,0.36,0.365,0.393,0.443,0.505,0.573,0.644,0.714,0.774,0.817,0.841,0.851,0.847,0.827,0.786,0.725,0.653,0.583,0.525,0.475,0.422,0.36,0.295,0.243,0.225,0.247,0.301,0.366,0.42,0.446,0.442,0.413,0.371,0.33,0.302,0.289,0.285,0.28,0.269,0.251,0.233,0.216,0.203,0.194,0.189,0.19,0.197,0.21,0.225,0.237,0.238,0.222,0.195,0.168,0.162,0.195,0.271,0.364,0.44,0.468,0.443,0.386,0.334,0.314,0.332,0.366,0.387,0.373,0.325,0.263,0.21,0.177,0.167,0.176,0.208,0.265,0.346,0.434,0.511,0.558,0.572,0.557,0.527,0.491,0.457,0.419,0.37,0.306,0.232,0.161,0.108,0.076,0.065,0.067,0.082,0.112,0.17,0.259,0.369,0.469,0.527,0.531,0.495,0.442,0.394,0.357,0.327,0.294,0.252,0.203,0.161,0.141,0.155,0.207,0.286,0.369,0.433,0.465,0.471,0.46,0.438,0.404,0.354,0.296,0.247,0.23,0.251,0.296,0.339,0.356,0.35,0.342,0.359,0.41,0.476,0.525,0.526,0.474,0.386,0.294,0.222,0.188,0.194,0.236,0.305,0.385,0.458,0.507,0.522,0.505,0.466,0.415,0.364,0.323,0.297,0.286,0.289,0.299,0.31,0.314,0.308,0.295,0.283,0.278,0.28,0.286,0.29,0.288,0.28,0.269,0.256,0.246,0.239,0.238,0.241,0.246,0.248,0.246,0.24,0.232,0.223,0.213,0.2,0.185,0.172,0.163,0.16,0.159,0.159,0.159,0.16,0.165,0.175,0.188,0.203,0.219,0.236,0.25,0.259,0.26,0.255,0.25,0.251,0.256,0.261,0.26,0.253,0.242,0.233,0.229,0.229,0.233,0.236,0.238,0.241,0.243,0.244,0.24,0.232,0.222,0.215,0.214,0.22,0.227,0.23,0.226,0.215,0.2,0.186,0.176,0.175,0.179,0.184,0.186,0.183,0.175,0.165,0.158,0.158,0.167,0.19,0.233,0.305,0.399,0.49,0.547,0.544,0.487,0.397,0.309,0.246,0.221,0.238,0.291,0.368,0.452,0.527,0.582,0.613,0.62,0.605,0.571,0.524,0.474,0.437,0.422,0.427,0.438,0.435,0.405,0.351,0.289,0.246,0.241,0.277,0.335,0.39,0.424,0.443,0.462,0.496,0.548,0.614,0.678,0.723,0.731,0.701,0.645,0.578,0.505,0.422,0.332,0.253,0.209,0.216,0.271,0.349,0.408,0.417,0.368,0.288,0.208,0.155,0.13,0.125,0.131,0.148,0.189,0.261,0.36,0.453,0.507,0.499,0.439,0.352,0.263,0.188,0.133,0.1,0.088,0.102,0.148,0.23,0.34,0.458,0.557,0.618,0.637,0.623,0.591,0.559,0.538,0.526,0.515,0.492,0.452,0.398,0.347,0.321,0.335,0.384,0.444,0.485,0.496,0.487,0.475,0.471,0.468,0.452,0.412,0.349,0.273,0.203,0.155,0.138,0.155,0.207,0.286,0.373,0.446,0.489,0.499,0.482,0.444,0.394,0.347,0.32,0.318,0.336,0.35,0.342,0.307,0.261,0.232,0.237,0.272,0.315,0.339,0.333,0.308,0.281,0.272,0.286,0.318,0.355,0.383,0.395,0.392,0.386,0.39,0.408,0.437,0.467,0.489,0.498,0.493,0.48,0.465,0.453,0.445,0.437,0.42,0.392,0.357,0.331,0.321,0.324,0.332,0.336,0.333,0.323,0.306,0.284,0.262,0.243,0.232,0.229,0.233,0.242,0.255,0.269,0.283,0.297,0.31,0.319,0.32,0.308,0.284,0.255,0.228,0.211,0.205,0.208,0.218,0.231,0.247,0.265,0.282,0.297,0.31,0.321,0.33,0.337,0.341,0.343,0.345,0.348,0.354,0.361,0.369,0.374,0.376,0.375,0.37,0.364,0.357,0.346,0.331,0.31,0.287,0.265,0.246,0.233,0.224,0.218,0.214,0.208,0.2,0.189,0.175,0.162,0.149,0.14,0.134,0.132,0.132,0.136,0.144,0.155,0.166,0.174,0.175,0.168,0.156,0.146,0.14,0.137,0.138,0.14,0.142,0.145,0.147,0.15,0.153,0.162,0.187,0.235,0.306,0.384,0.447,0.478,0.475,0.453,0.437,0.442,0.468,0.502,0.534,0.566,0.604,0.646,0.678,0.684,0.664,0.631,0.605,0.601,0.617,0.632,0.618,0.562,0.479,0.398,0.338,0.299,0.269,0.237,0.202,0.166,0.132,0.105,0.085,0.075,0.071,0.071,0.072,0.073,0.074,0.074,0.075,0.076,0.076,0.075,0.073,0.071,0.068,0.066,0.065,0.063,0.062,0.06,0.058,0.057,0.055,0.055,0.055,0.054,0.053,0.053,0.055,0.058,0.061,0.061,0.058,0.054,0.052,0.055,0.063,0.072,0.079,0.08,0.078,0.076,0.077,0.079,0.081,0.082,0.082,0.082,0.082,0.08,0.078,0.079,0.085,0.095,0.105,0.109,0.103,0.092,0.079,0.072,0.071,0.076,0.084,0.094,0.103,0.109,0.118,0.143,0.193,0.265,0.343,0.403,0.437,0.453,0.464,0.474,0.482,0.488,0.502,0.533,0.571,0.592,0.579,0.531,0.465,0.395,0.33,0.273,0.235,0.229,0.26,0.323,0.395,0.45,0.467,0.445,0.393,0.329,0.269,0.224,0.2,0.196,0.205,0.226,0.263,0.325,0.416,0.525,0.631,0.711,0.752,0.75,0.709,0.638,0.551,0.465,0.396,0.352,0.334,0.337,0.351,0.369,0.381,0.382,0.378,0.376,0.384,0.401,0.418,0.423,0.406,0.372,0.331,0.296,0.273,0.263,0.262,0.266,0.271,0.274,0.275,0.276,0.281,0.29,0.299,0.301,0.291,0.267,0.238,0.211,0.196,0.195,0.205,0.218,0.229,0.237,0.245,0.254,0.265,0.277,0.287,0.295,0.301,0.305,0.305,0.302,0.298,0.295,0.296,0.299,0.302,0.307,0.31,0.311,0.308,0.301,0.293,0.285,0.279,0.273,0.265,0.256,0.245,0.233,0.219,0.205,0.193,0.185,0.184,0.187,0.19,0.19,0.185,0.176,0.165,0.152,0.139,0.128,0.119,0.112,0.107,0.103,0.1,0.099,0.1,0.1,0.099,0.097,0.094,0.091,0.089,0.086,0.082,0.079,0.077,0.079,0.083,0.087,0.089,0.088,0.086,0.084,0.083,0.082,0.082,0.081,0.079,0.077,0.073,0.069,0.066,0.063,0.06,0.058,0.056,0.054,0.053,0.052,0.052,0.054,0.056,0.058,0.061,0.062,0.062,0.06,0.058,0.054,0.05,0.046,0.041,0.038,0.035,0.034,0.033,0.033,0.034,0.034,0.034,0.034,0.033,0.032,0.032,0.031,0.031,0.031,0.031,0.031,0.031,0.032,0.033,0.034,0.034,0.033,0.031,0.028,0.027,0.026,0.027,0.027,0.027,0.027,0.027,0.026,0.026,0.026,0.026,0.026,0.026,0.026,0.026,0.025,0.024,0.024,0.023,0.023,0.024,0.024,0.024,0.024,0.028,0.043,0.078,0.137,0.204,0.255,0.269,0.243,0.193,0.144,0.114,0.119,0.16,0.224,0.284,0.316,0.315,0.303,0.307,0.34,0.397,0.457,0.503,0.528,0.534,0.526,0.507,0.473,0.421,0.355,0.287,0.237,0.22,0.236,0.269,0.292,0.289,0.26,0.22,0.189,0.178,0.195,0.244,0.321,0.403,0.464,0.49,0.486,0.468,0.449,0.426,0.396,0.357,0.317,0.285,0.268,0.262,0.261,0.256,0.244,0.224,0.196,0.164,0.132,0.105,0.082,0.065,0.052,0.043,0.037,0.034,0.033,0.032,0.032,0.032,0.032,0.031,0.031,0.03,0.029,0.028,0.028,0.028,0.028,0.027,0.026,0.025,0.024,0.023,0.023,0.022,0.022,0.021,0.021,0.021,0.021,0.021,0.021,0.021,0.021,0.022,0.022,0.023,0.023,0.023,0.022,0.021,0.021,0.02,0.019,0.019,0.019,0.019,0.019,0.02,0.02,0.021,0.022,0.022,0.022,0.023,0.024,0.024,0.025,0.026,0.027,0.029,0.032,0.036,0.039,0.042,0.045,0.047,0.05,0.053,0.056,0.058,0.062,0.065,0.067,0.068,0.066,0.064,0.063,0.065,0.07,0.078,0.085,0.09,0.091,0.088,0.084,0.083,0.085,0.094,0.11,0.13,0.15,0.162,0.16,0.146,0.13,0.12,0.118,0.119,0.121,0.124,0.13,0.141,0.153,0.161,0.163,0.159,0.155,0.153,0.152,0.149,0.144,0.139,0.136,0.14,0.152,0.169,0.188,0.209,0.233,0.257,0.273,0.27,0.25,0.222,0.204,0.204,0.221,0.241,0.253,0.254,0.249,0.24,0.233,0.23,0.23,0.227,0.218,0.201,0.185,0.177,0.178,0.187,0.198,0.206,0.204,0.192,0.175,0.158,0.146,0.142,0.143,0.148,0.156,0.169,0.184,0.196,0.197,0.186,0.168,0.152,0.144,0.141,0.141,0.141,0.143,0.148,0.155,0.163,0.168,0.17,0.169,0.166,0.162,0.16,0.159,0.161,0.168,0.181,0.196,0.206,0.208,0.206,0.205,0.21,0.221,0.237,0.251,0.258,0.251,0.232,0.211,0.199,0.204,0.218,0.231,0.234,0.225,0.21,0.195,0.185,0.178,0.175,0.173,0.173,0.173,0.171,0.169,0.17,0.179,0.195,0.212,0.219,0.212,0.194,0.177,0.169,0.168,0.168,0.169,0.178,0.198,0.226,0.249,0.257,0.247,0.226,0.201,0.177,0.158,0.148,0.151,0.16,0.168,0.167,0.156,0.143,0.135,0.137,0.144,0.153,0.161,0.167,0.174,0.185,0.197,0.207,0.211,0.207,0.194,0.176,0.158,0.143,0.136,0.137,0.144,0.152,0.154,0.149,0.142,0.137,0.139,0.144,0.145,0.142,0.136,0.132,0.132,0.14,0.153,0.168,0.181,0.186,0.184,0.178,0.174,0.171,0.168,0.16,0.15,0.142,0.138,0.137,0.136,0.134,0.131,0.129,0.126,0.122,0.12,0.123,0.128,0.133,0.133,0.128,0.12,0.113,0.108,0.106,0.106,0.107,0.111,0.12,0.131,0.142,0.145,0.14,0.129,0.121,0.121,0.129,0.138,0.141,0.136,0.128,0.123,0.126,0.137,0.151,0.164,0.171,0.17,0.162,0.152,0.145,0.142,0.141,0.139,0.133,0.122,0.109,0.098,0.091,0.089,0.091,0.096,0.107,0.133,0.183,0.258,0.346,0.425,0.479,0.501,0.496,0.474,0.44,0.393,0.332,0.26,0.186,0.127,0.097,0.106,0.153,0.227,0.307,0.371,0.403,0.4,0.371,0.333,0.295,0.26,0.227,0.194,0.157,0.119,0.084,0.059,0.047,0.045,0.044,0.038,0.027,0.015,0.007,0.002,0.001,0,0,0,0,0,0.002,0.009,0.032,0.088,0.186,0.315,0.45,0.556,0.612,0.621,0.6,0.569,0.535,0.496,0.446,0.388,0.338,0.317,0.335,0.387,0.452,0.5,0.505,0.454,0.358,0.25,0.168,0.142,0.177,0.256,0.349,0.431,0.495,0.552,0.611,0.668,0.7,0.682,0.612,0.507,0.398,0.307,0.239,0.187,0.144,0.107,0.079,0.06,0.048,0.038,0.029,0.02,0.013,0.007,0.004,0.002,0.001,0.001]