[0,0,0,0,0.001,0.004,0.013,0.03,0.058,0.091,0.123,0.146,0.158,0.161,0.159,0.158,0.159,0.163,0.168,0.173,0.176,0.177,0.175,0.172,0.166,0.16,0.153,0.145,0.138,0.132,0.126,0.121,0.118,0.118,0.119,0.12,0.119,0.115,0.109,0.103,0.101,0.102,0.109,0.119,0.129,0.135,0.137,0.134,0.128,0.123,0.12,0.12,0.122,0.125,0.125,0.119,0.111,0.103,0.1,0.101,0.105,0.11,0.111,0.108,0.103,0.095,0.089,0.082,0.078,0.073,0.068,0.062,0.055,0.047,0.039,0.031,0.024,0.017,0.012,0.008,0.005,0.003,0.002,0.001,0.001,0.001,0,0,0,0,0,0.001,0.002,0.005,0.009,0.013,0.017,0.018,0.018,0.016,0.014,0.011,0.01,0.013,0.022,0.039,0.062,0.087,0.114,0.14,0.162,0.172,0.172,0.172,0.184,0.208,0.231,0.239,0.23,0.209,0.19,0.184,0.194,0.215,0.237,0.247,0.245,0.234,0.221,0.212,0.209,0.214,0.225,0.233,0.227,0.202,0.162,0.117,0.078,0.049,0.03,0.018,0.011,0.007,0.006,0.006,0.007,0.008,0.009,0.014,0.03,0.067,0.128,0.204,0.271,0.308,0.312,0.296,0.28,0.275,0.275,0.269,0.251,0.23,0.218,0.225,0.244,0.257,0.251,0.226,0.191,0.157,0.13,0.112,0.102,0.098,0.094,0.085,0.069,0.048,0.03,0.019,0.016,0.016,0.017,0.018,0.02,0.03,0.051,0.083,0.117,0.142,0.149,0.138,0.115,0.087,0.06,0.04,0.027,0.022,0.021,0.024,0.033,0.048,0.072,0.105,0.152,0.212,0.275,0.33,0.364,0.378,0.376,0.363,0.344,0.328,0.322,0.329,0.342,0.351,0.344,0.318,0.276,0.23,0.188,0.158,0.139,0.129,0.127,0.133,0.152,0.181,0.209,0.22,0.206,0.178,0.157,0.159,0.179,0.201,0.209,0.203,0.197,0.206,0.237,0.282,0.323,0.346,0.349,0.335,0.312,0.29,0.272,0.258,0.246,0.233,0.219,0.202,0.187,0.177,0.177,0.183,0.188,0.184,0.169,0.145,0.119,0.094,0.073,0.057,0.047,0.042,0.042,0.043,0.045,0.047,0.049,0.051,0.052,0.054,0.055,0.057,0.059,0.061,0.062,0.061,0.061,0.06,0.063,0.074,0.098,0.136,0.177,0.207,0.223,0.232,0.247,0.267,0.284,0.289,0.285,0.281,0.287,0.306,0.342,0.391,0.439,0.472,0.476,0.455,0.423,0.392,0.366,0.339,0.308,0.277,0.259,0.26,0.274,0.288,0.289,0.279,0.269,0.268,0.278,0.294,0.31,0.327,0.35,0.384,0.427,0.468,0.492,0.49,0.459,0.407,0.353,0.314,0.305,0.324,0.355,0.376,0.373,0.344,0.302,0.262,0.235,0.222,0.216,0.213,0.216,0.229,0.253,0.285,0.314,0.333,0.336,0.319,0.289,0.257,0.237,0.237,0.251,0.268,0.28,0.291,0.314,0.362,0.433,0.508,0.563,0.593,0.604,0.609,0.606,0.589,0.552,0.504,0.461,0.432,0.412,0.394,0.377,0.361,0.351,0.347,0.347,0.348,0.349,0.351,0.351,0.349,0.345,0.341,0.337,0.33,0.317,0.302,0.292,0.293,0.3,0.305,0.308,0.316,0.342,0.388,0.447,0.496,0.518,0.505,0.466,0.418,0.375,0.349,0.341,0.347,0.356,0.357,0.349,0.34,0.335,0.336,0.339,0.341,0.338,0.324,0.301,0.279,0.27,0.278,0.297,0.318,0.332,0.331,0.314,0.282,0.248,0.231,0.248,0.303,0.384,0.461,0.51,0.521,0.5,0.462,0.418,0.375,0.34,0.315,0.302,0.296,0.287,0.274,0.262,0.257,0.259,0.266,0.272,0.273,0.269,0.261,0.247,0.227,0.204,0.181,0.163,0.15,0.143,0.139,0.136,0.133,0.131,0.129,0.126,0.122,0.118,0.112,0.106,0.1,0.095,0.093,0.099,0.116,0.145,0.176,0.197,0.204,0.202,0.199,0.198,0.192,0.179,0.163,0.157,0.169,0.203,0.251,0.298,0.322,0.307,0.258,0.196,0.142,0.111,0.106,0.121,0.141,0.154,0.153,0.137,0.116,0.102,0.101,0.114,0.13,0.142,0.141,0.126,0.102,0.076,0.054,0.039,0.031,0.026,0.023,0.021,0.02,0.021,0.025,0.03,0.043,0.073,0.126,0.198,0.269,0.321,0.344,0.342,0.329,0.315,0.306,0.301,0.298,0.294,0.287,0.281,0.279,0.278,0.274,0.266,0.263,0.277,0.32,0.392,0.476,0.547,0.583,0.585,0.568,0.55,0.544,0.547,0.553,0.553,0.544,0.531,0.522,0.52,0.523,0.529,0.536,0.538,0.531,0.514,0.492,0.473,0.465,0.473,0.494,0.519,0.533,0.531,0.514,0.498,0.494,0.507,0.534,0.567,0.592,0.601,0.591,0.572,0.554,0.546,0.545,0.547,0.546,0.539,0.527,0.513,0.5,0.488,0.483,0.487,0.502,0.514,0.514,0.494,0.466,0.445,0.441,0.455,0.478,0.496,0.499,0.491,0.484,0.489,0.505,0.528,0.552,0.57,0.574,0.559,0.528,0.496,0.48,0.485,0.505,0.523,0.524,0.503,0.477,0.465,0.479,0.513,0.551,0.579,0.591,0.584,0.563,0.533,0.507,0.496,0.502,0.518,0.53,0.525,0.502,0.471,0.451,0.451,0.471,0.504,0.54,0.569,0.579,0.566,0.534,0.498,0.472,0.467,0.48,0.499,0.508,0.502,0.488,0.482,0.489,0.505,0.525,0.543,0.554,0.556,0.554,0.556,0.568,0.578,0.579,0.568,0.559,0.558,0.566,0.576,0.586,0.59,0.592,0.597,0.614,0.636,0.65,0.642,0.612,0.574,0.544,0.534,0.539,0.551,0.556,0.551,0.539,0.532,0.535,0.548,0.568,0.591,0.614,0.629,0.632,0.621,0.6,0.577,0.562,0.558,0.56,0.558,0.547,0.534,0.53,0.541,0.565,0.592,0.617,0.629,0.621,0.594,0.556,0.525,0.513,0.524,0.549,0.573,0.577,0.562,0.535,0.516,0.512,0.523,0.545,0.571,0.592,0.6,0.596,0.583,0.571,0.566,0.573,0.587,0.6,0.603,0.595,0.582,0.573,0.569,0.574,0.588,0.615,0.649,0.679,0.692,0.683,0.656,0.629,0.615,0.619,0.629,0.632,0.621,0.603,0.588,0.583,0.589,0.603,0.623,0.636,0.634,0.615,0.589,0.568,0.56,0.566,0.574,0.572,0.556,0.533,0.515,0.511,0.52,0.542,0.572,0.602,0.62,0.618,0.601,0.581,0.567,0.565,0.575,0.593,0.608,0.61,0.6,0.586,0.576,0.573,0.575,0.577,0.582,0.588,0.599,0.616,0.634,0.642,0.636,0.62,0.61,0.608,0.614,0.622,0.633,0.645,0.657,0.663,0.664,0.657,0.64,0.609,0.563,0.508,0.456,0.413,0.383,0.365,0.354,0.346,0.338,0.327,0.316,0.305,0.295,0.285,0.273,0.261,0.257,0.262,0.274,0.285,0.29,0.288,0.283,0.278,0.277,0.276,0.276,0.278,0.285,0.296,0.306,0.311,0.311,0.307,0.304,0.304,0.305,0.307,0.31,0.315,0.32,0.32,0.309,0.279,0.235,0.188,0.156,0.153,0.175,0.205,0.224,0.217,0.186,0.14,0.096,0.063,0.045,0.04,0.048,0.069,0.104,0.144,0.177,0.194,0.194,0.186,0.182,0.187,0.2,0.214,0.218,0.208,0.188,0.166,0.156,0.16,0.171,0.178,0.174,0.16,0.141,0.121,0.102,0.085,0.074,0.072,0.079,0.091,0.105,0.122,0.14,0.161,0.179,0.189,0.187,0.174,0.154,0.135,0.122,0.118,0.117,0.116,0.109,0.097,0.082,0.067,0.054,0.046,0.042,0.041,0.044,0.054,0.075,0.109,0.148,0.187,0.219,0.241,0.246,0.232,0.203,0.168,0.141,0.126,0.124,0.129,0.14,0.153,0.167,0.176,0.175,0.165,0.147,0.129,0.116,0.109,0.11,0.116,0.124,0.131,0.136,0.139,0.142,0.145,0.15,0.153,0.153,0.151,0.149,0.147,0.148,0.152,0.157,0.161,0.162,0.16,0.157,0.152,0.147,0.142,0.136,0.132,0.131,0.134,0.137,0.139,0.14,0.141,0.143,0.146,0.153,0.163,0.178,0.199,0.222,0.242,0.256,0.261,0.264,0.266,0.271,0.279,0.291,0.304,0.318,0.333,0.35,0.368,0.384,0.392,0.387,0.369,0.343,0.321,0.313,0.323,0.342,0.364,0.387,0.417,0.443,0.451,0.43,0.394,0.365,0.359,0.381,0.415,0.442,0.442,0.421,0.39,0.367,0.356,0.361,0.38,0.41,0.437,0.448,0.436,0.415,0.399,0.401,0.42,0.444,0.459,0.452,0.43,0.404,0.39,0.389,0.402,0.419,0.434,0.434,0.414,0.378,0.343,0.324,0.33,0.359,0.395,0.421,0.422,0.406,0.386,0.377,0.382,0.399,0.417,0.431,0.426,0.396,0.347,0.303,0.28,0.287,0.318,0.356,0.381,0.384,0.374,0.364,0.367,0.38,0.401,0.421,0.437,0.433,0.406,0.362,0.323,0.309,0.328,0.372,0.423,0.458,0.463,0.441,0.409,0.385,0.376,0.381,0.395,0.409,0.409,0.39,0.357,0.325,0.313,0.329,0.365,0.403,0.423,0.417,0.396,0.379,0.378,0.392,0.414,0.438,0.456,0.459,0.444,0.415,0.391,0.382,0.396,0.425,0.455,0.468,0.457,0.425,0.387,0.357,0.343,0.351,0.376,0.406,0.425,0.431,0.429,0.429,0.428,0.424,0.416,0.414,0.413,0.411,0.405,0.401,0.401,0.405,0.411,0.417,0.416,0.402,0.374,0.337,0.302,0.277,0.26,0.25,0.243,0.235,0.226,0.215,0.206,0.201,0.2,0.205,0.215,0.226,0.236,0.242,0.243,0.241,0.237,0.235,0.233,0.231,0.227,0.224,0.223,0.225,0.231,0.237,0.241,0.237,0.226,0.21,0.195,0.186,0.183,0.183,0.183,0.183,0.183,0.185,0.193,0.206,0.224,0.246,0.268,0.285,0.293,0.29,0.281,0.277,0.281,0.293,0.304,0.305,0.296,0.281,0.269,0.262,0.261,0.263,0.268,0.278,0.292,0.309,0.326,0.34,0.348,0.345,0.327,0.295,0.257,0.223,0.2,0.192,0.198,0.214,0.236,0.261,0.282,0.296,0.3,0.298,0.291,0.283,0.276,0.272,0.272,0.273,0.275,0.273,0.272,0.273,0.277,0.281,0.282,0.276,0.266,0.256,0.248,0.241,0.237,0.233,0.229,0.225,0.22,0.215,0.211,0.208,0.207,0.207,0.208,0.209,0.211,0.215,0.221,0.23,0.239,0.246,0.248,0.242,0.229,0.211,0.193,0.178,0.168,0.162,0.156,0.149,0.141,0.134,0.129,0.125,0.122,0.118,0.11,0.1,0.089,0.08,0.075,0.073,0.075,0.077,0.078,0.077,0.074,0.071,0.07,0.072,0.077,0.084,0.089,0.093,0.095,0.097,0.098,0.1,0.106,0.12,0.138,0.153,0.159,0.158,0.156,0.158,0.166,0.175,0.182,0.188,0.193,0.201,0.21,0.229,0.264,0.316,0.366,0.388,0.367,0.308,0.235,0.168,0.12,0.091,0.078,0.075,0.082,0.107,0.157,0.231,0.312,0.373,0.397,0.382,0.348,0.316,0.307,0.324,0.359,0.39,0.4,0.387,0.373,0.383,0.419,0.458,0.47,0.444,0.392,0.337,0.293,0.268,0.263,0.28,0.312,0.344,0.366,0.375,0.377,0.377,0.38,0.381,0.378,0.362,0.33,0.288,0.251,0.235,0.251,0.289,0.333,0.363,0.369,0.355,0.332,0.312,0.301,0.292,0.281,0.269,0.265,0.273,0.291,0.31,0.324,0.33,0.333,0.336,0.341,0.344,0.345,0.342,0.338,0.334,0.33,0.324,0.315,0.305,0.298,0.303,0.32,0.343,0.358,0.358,0.344,0.329,0.324,0.332,0.347,0.359,0.36,0.349,0.336,0.329,0.331,0.337,0.343,0.345,0.344,0.346,0.356,0.375,0.399,0.421,0.438,0.448,0.452,0.45,0.444,0.434,0.417,0.391,0.355,0.318,0.288,0.273,0.277,0.294,0.316,0.331,0.334,0.332,0.336,0.351,0.37,0.387,0.4,0.415,0.441,0.482,0.531,0.569,0.579,0.55,0.494,0.431,0.383,0.355,0.335,0.312,0.28,0.252,0.24,0.247,0.261,0.271,0.27,0.264,0.26,0.263,0.269,0.274,0.277,0.276,0.271,0.262,0.256,0.263,0.298,0.355,0.415,0.453,0.469,0.478,0.499,0.522,0.528,0.498,0.44,0.372,0.313,0.273,0.252,0.241,0.232,0.224,0.219,0.224,0.235,0.248,0.258,0.264,0.265,0.26,0.252,0.245,0.247,0.258,0.271,0.278,0.281,0.291,0.325,0.378,0.434,0.47,0.487,0.499,0.517,0.531,0.527,0.499,0.463,0.436,0.425,0.422,0.415,0.397,0.369,0.341,0.32,0.311,0.315,0.33,0.349,0.365,0.37,0.363,0.349,0.336,0.326,0.319,0.317,0.324,0.34,0.36,0.373,0.376,0.376,0.389,0.424,0.476,0.527,0.554,0.551,0.521,0.48,0.438,0.404,0.381,0.37,0.368,0.371,0.376,0.38,0.382,0.381,0.38,0.382,0.388,0.393,0.393,0.385,0.377,0.376,0.386,0.401,0.412,0.409,0.39,0.357,0.321,0.299,0.304,0.335,0.38,0.417,0.432,0.424,0.406,0.385,0.367,0.349,0.329,0.313,0.306,0.309,0.316,0.321,0.326,0.336,0.354,0.373,0.379,0.365,0.341,0.321,0.313,0.318,0.326,0.33,0.326,0.314,0.297,0.28,0.267,0.259,0.255,0.252,0.244,0.233,0.221,0.213,0.21,0.215,0.226,0.248,0.283,0.331,0.388,0.445,0.49,0.519,0.53,0.517,0.476,0.406,0.322,0.251,0.215,0.218,0.245,0.274,0.288,0.284,0.267,0.241,0.212,0.193,0.192,0.206,0.222,0.224,0.206,0.179,0.155,0.142,0.137,0.127,0.106,0.079,0.054,0.036,0.027,0.023,0.02,0.017,0.014,0.012,0.012,0.015,0.018,0.021,0.022,0.022,0.021,0.019,0.017,0.014,0.013,0.017,0.035,0.075,0.137,0.203,0.251,0.267,0.257,0.238,0.222,0.21,0.197,0.182,0.17,0.168,0.175,0.19,0.209,0.228,0.245,0.254,0.251,0.235,0.213,0.19,0.173,0.164,0.161,0.164,0.168,0.167,0.159,0.146,0.137,0.14,0.158,0.185,0.217,0.249,0.279,0.301,0.306,0.287,0.248,0.201,0.158,0.127,0.109,0.1,0.098,0.104,0.114,0.124,0.129,0.128,0.128,0.136,0.159,0.195,0.236,0.272,0.298,0.313,0.323,0.333,0.346,0.361,0.377,0.393,0.408,0.421,0.431,0.44,0.448,0.458,0.466,0.469,0.469,0.466,0.463,0.461,0.464,0.473,0.486,0.496,0.5,0.499,0.503,0.511,0.522,0.531,0.538,0.54,0.538,0.533,0.529,0.526,0.524,0.522,0.521,0.519,0.512,0.5,0.489,0.486,0.489,0.5,0.524,0.565,0.613,0.65,0.659,0.642,0.611,0.584,0.571,0.571,0.575,0.571,0.555,0.53,0.506,0.489,0.489,0.508,0.542,0.572,0.584,0.571,0.542,0.514,0.501,0.509,0.535,0.564,0.578,0.567,0.538,0.509,0.494,0.502,0.529,0.561,0.581,0.577,0.553,0.528,0.516,0.528,0.557,0.59,0.609,0.601,0.569,0.527,0.492,0.475,0.482,0.509,0.543,0.557,0.539,0.491,0.437,0.4,0.398,0.426,0.47,0.501,0.505,0.485,0.459,0.445,0.448,0.465,0.489,0.509,0.506,0.478,0.433,0.401,0.397,0.427,0.473,0.515,0.53,0.515,0.483,0.461,0.463,0.49,0.528,0.562,0.574,0.556,0.514,0.467,0.434,0.425,0.441,0.473,0.505,0.521,0.511,0.483,0.458,0.455,0.479,0.524,0.573,0.609,0.617,0.596,0.558,0.522,0.502,0.504,0.522,0.546,0.555,0.542,0.512,0.481,0.462,0.461,0.476,0.499,0.517,0.522,0.52,0.519,0.523,0.524,0.521,0.524,0.544,0.573,0.595,0.596,0.582,0.564,0.558,0.567,0.587,0.602,0.598,0.573,0.541,0.514,0.503,0.512,0.536,0.562,0.572,0.56,0.53,0.5,0.483,0.487,0.512,0.552,0.589,0.6,0.574,0.518,0.459,0.423,0.425,0.46,0.505,0.532,0.53,0.505,0.48,0.47,0.486,0.517,0.548,0.558,0.538,0.494,0.448,0.418,0.416,0.439,0.473,0.499,0.502,0.484,0.457,0.44,0.443,0.469,0.509,0.55,0.573,0.567,0.539,0.507,0.487,0.487,0.503,0.529,0.556,0.574,0.581,0.576,0.566,0.558,0.56,0.575,0.598,0.614,0.613,0.592,0.565,0.546,0.544,0.557,0.574,0.578,0.563,0.537,0.516,0.509,0.522,0.552,0.59,0.624,0.633,0.612,0.569,0.528,0.503,0.502,0.519,0.54,0.553,0.554,0.546,0.538,0.538,0.549,0.574,0.605,0.63,0.631,0.606,0.564,0.528,0.511,0.517,0.537,0.563,0.578,0.577,0.565,0.556,0.557,0.565,0.575,0.581,0.584,0.584,0.589,0.602,0.618,0.624,0.616,0.601,0.594,0.598,0.604,0.604,0.599,0.595,0.597,0.607,0.626,0.648,0.666,0.673,0.67,0.659,0.647,0.637,0.629,0.624,0.618,0.612,0.604,0.595,0.588,0.58,0.566,0.541,0.502,0.459,0.425,0.413,0.418,0.43,0.435,0.43,0.421,0.416,0.415,0.416,0.411,0.403,0.392,0.384,0.375,0.365,0.351,0.335,0.321,0.312,0.307,0.304,0.301,0.3,0.304,0.313,0.318,0.31,0.28,0.234,0.191,0.173,0.184,0.209,0.226,0.216,0.183,0.139,0.099,0.071,0.055,0.046,0.043,0.05,0.077,0.131,0.209,0.288,0.343,0.36,0.346,0.32,0.302,0.3,0.317,0.344,0.374,0.39,0.383,0.351,0.305,0.26,0.233,0.232,0.252,0.277,0.294,0.297,0.289,0.271,0.243,0.205,0.162,0.125,0.1,0.09,0.091,0.096,0.101,0.11,0.124,0.145,0.165,0.174,0.166,0.146,0.119,0.094,0.075,0.063,0.056,0.052,0.046,0.039,0.031,0.024,0.019,0.016,0.014,0.014,0.014,0.015,0.016,0.018,0.019,0.019,0.018,0.016,0.013,0.012,0.016,0.03,0.061,0.108,0.165,0.221,0.264,0.289,0.297,0.296,0.293,0.294,0.299,0.307,0.313,0.316,0.315,0.313,0.311,0.309,0.309,0.314,0.324,0.339,0.352,0.357,0.351,0.337,0.323,0.317,0.32,0.33,0.345,0.36,0.377,0.394,0.409,0.416,0.411,0.391,0.36,0.329,0.31,0.311,0.331,0.365,0.412,0.468,0.528,0.575,0.595,0.588,0.566,0.548,0.545,0.559,0.581,0.596,0.596,0.586,0.576,0.577,0.587,0.601,0.61,0.61,0.597,0.574,0.547,0.527,0.52,0.53,0.553,0.58,0.597,0.595,0.579,0.56,0.549,0.552,0.566,0.586,0.602,0.598,0.572,0.53,0.492,0.471,0.479,0.51,0.554,0.591,0.609,0.605,0.59,0.572,0.558,0.552,0.555,0.567,0.574,0.569,0.551,0.531,0.52,0.525,0.541,0.557,0.559,0.545,0.523,0.509,0.51,0.527,0.551,0.573,0.582,0.574,0.549,0.516,0.49,0.483,0.501,0.539,0.583,0.612,0.621,0.613,0.6,0.588,0.581,0.576,0.577,0.58,0.58,0.57,0.553,0.539,0.536,0.547,0.566,0.584,0.591,0.585,0.574,0.568,0.571,0.58,0.589,0.595,0.593,0.584,0.566,0.549,0.539,0.543,0.562,0.593,0.628,0.652,0.659,0.645,0.621,0.593,0.573,0.564,0.564,0.56,0.548,0.529,0.515,0.515,0.528,0.546,0.562,0.564,0.549,0.524,0.504,0.503,0.515,0.524,0.514,0.483,0.437,0.391,0.352,0.326,0.311,0.302,0.296,0.289,0.282,0.272,0.26,0.245,0.228,0.21,0.194,0.187,0.19,0.203,0.219,0.229,0.229,0.221,0.208,0.197,0.191,0.192,0.196,0.198,0.192,0.179,0.159,0.14,0.124,0.112,0.102,0.094,0.087,0.079,0.073,0.068,0.066,0.068,0.071,0.072,0.07,0.064,0.054,0.044,0.036,0.032,0.032,0.033,0.033,0.033,0.031,0.029,0.028,0.027,0.026,0.027,0.028,0.029,0.029,0.028,0.027,0.026,0.025,0.024,0.022,0.02,0.018,0.016,0.014,0.012,0.013,0.021,0.041,0.075,0.117,0.152,0.168,0.158,0.129,0.092,0.06,0.038,0.026,0.02,0.016,0.012,0.009,0.006,0.003,0.002,0.001,0,0,0,0,0,0,0,0]