[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.002,0.008,0.022,0.047,0.08,0.114,0.138,0.148,0.144,0.136,0.135,0.149,0.17,0.185,0.182,0.166,0.153,0.156,0.169,0.176,0.167,0.151,0.145,0.158,0.18,0.193,0.19,0.18,0.173,0.168,0.155,0.133,0.111,0.105,0.117,0.14,0.157,0.163,0.162,0.17,0.189,0.207,0.207,0.183,0.149,0.126,0.123,0.131,0.136,0.134,0.133,0.141,0.152,0.155,0.145,0.13,0.125,0.139,0.165,0.185,0.187,0.169,0.144,0.123,0.113,0.113,0.115,0.118,0.125,0.14,0.156,0.165,0.159,0.144,0.128,0.12,0.119,0.123,0.131,0.147,0.173,0.201,0.214,0.205,0.18,0.157,0.149,0.157,0.166,0.161,0.142,0.118,0.1,0.09,0.087,0.087,0.092,0.103,0.116,0.126,0.128,0.122,0.117,0.121,0.138,0.156,0.163,0.152,0.137,0.131,0.14,0.153,0.156,0.146,0.136,0.137,0.151,0.166,0.169,0.163,0.157,0.155,0.152,0.138,0.118,0.103,0.105,0.124,0.145,0.156,0.157,0.158,0.168,0.185,0.196,0.188,0.163,0.137,0.126,0.132,0.142,0.146,0.146,0.152,0.165,0.177,0.177,0.164,0.152,0.153,0.171,0.193,0.203,0.195,0.176,0.156,0.143,0.137,0.135,0.133,0.134,0.141,0.157,0.172,0.178,0.171,0.158,0.148,0.146,0.149,0.157,0.171,0.193,0.22,0.238,0.236,0.213,0.184,0.167,0.171,0.185,0.191,0.18,0.159,0.142,0.138,0.144,0.152,0.161,0.17,0.184,0.198,0.209,0.21,0.204,0.198,0.201,0.21,0.218,0.215,0.201,0.19,0.191,0.205,0.217,0.214,0.2,0.187,0.187,0.198,0.206,0.205,0.197,0.192,0.19,0.185,0.172,0.156,0.149,0.155,0.169,0.18,0.183,0.182,0.189,0.209,0.234,0.246,0.236,0.208,0.183,0.172,0.173,0.176,0.174,0.171,0.179,0.194,0.205,0.202,0.189,0.178,0.181,0.196,0.211,0.214,0.202,0.184,0.169,0.165,0.168,0.173,0.175,0.177,0.184,0.194,0.2,0.196,0.182,0.168,0.162,0.165,0.175,0.187,0.203,0.223,0.243,0.25,0.239,0.214,0.192,0.187,0.203,0.224,0.231,0.218,0.19,0.162,0.142,0.131,0.125,0.127,0.136,0.151,0.166,0.175,0.176,0.172,0.171,0.18,0.194,0.201,0.193,0.18,0.175,0.185,0.202,0.212,0.206,0.194,0.187,0.192,0.2,0.203,0.197,0.192,0.191,0.19,0.182,0.166,0.152,0.149,0.158,0.173,0.184,0.188,0.192,0.205,0.227,0.245,0.245,0.224,0.196,0.177,0.172,0.176,0.176,0.173,0.174,0.185,0.198,0.202,0.195,0.185,0.183,0.194,0.212,0.224,0.223,0.209,0.191,0.18,0.178,0.182,0.185,0.186,0.187,0.193,0.2,0.204,0.197,0.186,0.177,0.176,0.183,0.192,0.206,0.223,0.243,0.258,0.26,0.246,0.226,0.213,0.216,0.229,0.238,0.233,0.216,0.194,0.176,0.161,0.148,0.136,0.128,0.128,0.134,0.139,0.14,0.135,0.133,0.137,0.144,0.147,0.143,0.134,0.127,0.129,0.134,0.136,0.131,0.125,0.123,0.128,0.133,0.133,0.126,0.118,0.117,0.123,0.129,0.128,0.121,0.116,0.119,0.129,0.136,0.136,0.128,0.123,0.131,0.16,0.21,0.269,0.322,0.353,0.362,0.362,0.372,0.396,0.425,0.446,0.456,0.462,0.472,0.484,0.491,0.492,0.491,0.497,0.501,0.493,0.463,0.424,0.395,0.391,0.407,0.427,0.43,0.418,0.409,0.42,0.453,0.489,0.507,0.5,0.477,0.453,0.439,0.432,0.425,0.418,0.419,0.435,0.458,0.47,0.463,0.442,0.428,0.43,0.444,0.458,0.464,0.467,0.473,0.483,0.491,0.489,0.472,0.443,0.417,0.403,0.406,0.418,0.436,0.455,0.474,0.479,0.457,0.408,0.355,0.328,0.342,0.382,0.419,0.439,0.448,0.465,0.493,0.52,0.525,0.506,0.476,0.46,0.464,0.482,0.494,0.494,0.489,0.488,0.492,0.491,0.478,0.458,0.444,0.445,0.455,0.458,0.447,0.428,0.42,0.43,0.453,0.471,0.475,0.469,0.468,0.474,0.483,0.481,0.468,0.45,0.441,0.438,0.433,0.416,0.395,0.386,0.398,0.419,0.433,0.431,0.424,0.431,0.455,0.483,0.49,0.469,0.43,0.399,0.389,0.403,0.419,0.43,0.435,0.447,0.47,0.495,0.508,0.507,0.499,0.494,0.491,0.482,0.465,0.446,0.439,0.448,0.464,0.47,0.459,0.431,0.404,0.39,0.397,0.413,0.43,0.443,0.458,0.473,0.476,0.451,0.407,0.364,0.354,0.376,0.412,0.435,0.443,0.45,0.468,0.496,0.514,0.509,0.489,0.472,0.473,0.489,0.502,0.5,0.489,0.484,0.494,0.51,0.516,0.505,0.486,0.475,0.478,0.485,0.48,0.459,0.433,0.421,0.425,0.434,0.43,0.415,0.401,0.404,0.416,0.423,0.418,0.412,0.418,0.437,0.454,0.453,0.436,0.422,0.429,0.451,0.473,0.473,0.455,0.434,0.433,0.453,0.479,0.486,0.465,0.424,0.384,0.361,0.352,0.349,0.348,0.357,0.382,0.418,0.446,0.454,0.445,0.434,0.433,0.439,0.44,0.431,0.417,0.413,0.424,0.441,0.447,0.433,0.403,0.373,0.354,0.351,0.353,0.36,0.376,0.404,0.428,0.428,0.398,0.357,0.337,0.355,0.393,0.417,0.413,0.392,0.384,0.403,0.434,0.449,0.435,0.402,0.382,0.388,0.413,0.433,0.439,0.437,0.442,0.454,0.462,0.454,0.432,0.414,0.411,0.419,0.417,0.392,0.353,0.325,0.327,0.358,0.392,0.407,0.398,0.383,0.377,0.385,0.394,0.396,0.395,0.404,0.421,0.433,0.425,0.403,0.385,0.386,0.404,0.424,0.433,0.434,0.442,0.464,0.488,0.496,0.475,0.432,0.389,0.363,0.357,0.358,0.356,0.354,0.366,0.397,0.437,0.466,0.473,0.463,0.456,0.462,0.48,0.492,0.492,0.48,0.473,0.472,0.469,0.452,0.42,0.386,0.365,0.361,0.364,0.366,0.37,0.387,0.415,0.437,0.432,0.399,0.359,0.345,0.366,0.403,0.428,0.431,0.426,0.434,0.456,0.474,0.469,0.441,0.411,0.4,0.41,0.425,0.431,0.431,0.44,0.464,0.492,0.505,0.492,0.456,0.414,0.377,0.355,0.348,0.36,0.388,0.429,0.471,0.507,0.524,0.527,0.52,0.515,0.512,0.504,0.488,0.468,0.454,0.456,0.467,0.477,0.48,0.475,0.473,0.476,0.481,0.478,0.468,0.459,0.467,0.491,0.519,0.528,0.512,0.478,0.448,0.432,0.431,0.431,0.428,0.425,0.437,0.462,0.486,0.492,0.479,0.463,0.459,0.472,0.49,0.502,0.505,0.506,0.507,0.505,0.492,0.467,0.434,0.409,0.4,0.411,0.43,0.449,0.465,0.484,0.499,0.501,0.482,0.45,0.427,0.425,0.44,0.453,0.454,0.45,0.457,0.48,0.505,0.514,0.501,0.478,0.468,0.477,0.498,0.512,0.512,0.505,0.503,0.506,0.509,0.502,0.488,0.474,0.471,0.477,0.481,0.469,0.442,0.407,0.379,0.364,0.366,0.387,0.422,0.463,0.5,0.525,0.535,0.531,0.518,0.506,0.498,0.493,0.483,0.469,0.459,0.462,0.476,0.487,0.481,0.463,0.449,0.454,0.476,0.496,0.496,0.474,0.443,0.421,0.418,0.425,0.433,0.442,0.462,0.493,0.525,0.539,0.531,0.508,0.492,0.488,0.495,0.497,0.49,0.474,0.463,0.461,0.466,0.464,0.451,0.431,0.417,0.416,0.427,0.439,0.449,0.461,0.476,0.484,0.468,0.429,0.383,0.361,0.374,0.407,0.433,0.438,0.43,0.432,0.454,0.483,0.497,0.487,0.464,0.452,0.458,0.473,0.481,0.474,0.457,0.434,0.409,0.383,0.364,0.354,0.349,0.34,0.332,0.34,0.377,0.441,0.515,0.569,0.582,0.546,0.482,0.422,0.396,0.402,0.417,0.412,0.393,0.383,0.401,0.43,0.438,0.409,0.361,0.328,0.331,0.36,0.382,0.376,0.349,0.33,0.342,0.374,0.391,0.368,0.312,0.265,0.254,0.278,0.308,0.327,0.341,0.372,0.416,0.451,0.45,0.412,0.362,0.329,0.319,0.318,0.309,0.291,0.284,0.304,0.345,0.377,0.382,0.363,0.35,0.358,0.38,0.391,0.384,0.376,0.392,0.425,0.45,0.444,0.415,0.39,0.392,0.413,0.429,0.417,0.385,0.363,0.378,0.42,0.452,0.44,0.387,0.328,0.299,0.312,0.343,0.37,0.383,0.4,0.426,0.452,0.446,0.403,0.341,0.302,0.301,0.324,0.334,0.321,0.303,0.308,0.341,0.382,0.401,0.394,0.377,0.373,0.383,0.39,0.381,0.37,0.379,0.411,0.44,0.439,0.407,0.372,0.364,0.39,0.429,0.446,0.434,0.407,0.398,0.416,0.444,0.448,0.415,0.366,0.333,0.331,0.345,0.354,0.354,0.363,0.392,0.429,0.447,0.431,0.396,0.371,0.368,0.377,0.373,0.35,0.323,0.321,0.347,0.386,0.404,0.394,0.37,0.362,0.375,0.393,0.39,0.376,0.374,0.4,0.435,0.448,0.422,0.378,0.351,0.361,0.398,0.432,0.443,0.434,0.429,0.441,0.461,0.46,0.423,0.365,0.325,0.322,0.352,0.382,0.399,0.408,0.427,0.453,0.469,0.458,0.428,0.402,0.398,0.405,0.393,0.347,0.282,0.237,0.238,0.277,0.314,0.324,0.311,0.31,0.336,0.378,0.405,0.409,0.406,0.422,0.449,0.466,0.452,0.422,0.402,0.411,0.437,0.45,0.432,0.393,0.366,0.372,0.405,0.429,0.415,0.366,0.317,0.299,0.317,0.346,0.366,0.378,0.401,0.439,0.479,0.493,0.473,0.429,0.392,0.375,0.37,0.358,0.336,0.319,0.329,0.366,0.405,0.42,0.409,0.394,0.397,0.418,0.434,0.433,0.428,0.44,0.469,0.489,0.473,0.426,0.376,0.358,0.376,0.406,0.413,0.39,0.356,0.347,0.369,0.399,0.401,0.367,0.321,0.301,0.319,0.359,0.395,0.419,0.442,0.473,0.5,0.497,0.453,0.39,0.347,0.343,0.368,0.384,0.373,0.348,0.34,0.363,0.403,0.429,0.429,0.412,0.404,0.41,0.418,0.413,0.407,0.418,0.45,0.48,0.476,0.433,0.38,0.354,0.366,0.4,0.419,0.406,0.376,0.363,0.382,0.418,0.428,0.396,0.34,0.306,0.315,0.353,0.385,0.398,0.406,0.429,0.462,0.481,0.468,0.433,0.404,0.398,0.408,0.409,0.386,0.349,0.33,0.345,0.388,0.424,0.433,0.419,0.411,0.423,0.445,0.453,0.449,0.45,0.475,0.506,0.513,0.482,0.431,0.397,0.398,0.423,0.441,0.433,0.406,0.388,0.4,0.431,0.444,0.416,0.355,0.303,0.288,0.312,0.344,0.367,0.382,0.41,0.452,0.489,0.493,0.464,0.425,0.404,0.404,0.403,0.376,0.321,0.252,0.191,0.148,0.127,0.124,0.133,0.145,0.151,0.148,0.142,0.14,0.143,0.148,0.148,0.144,0.14,0.141,0.147,0.153,0.154,0.151,0.148,0.151,0.157,0.164,0.167,0.166,0.166,0.17,0.175,0.18,0.182,0.182,0.184,0.187,0.192,0.197,0.202,0.207,0.212,0.22,0.232,0.252,0.284,0.327,0.375,0.415,0.442,0.455,0.462,0.462,0.462,0.463,0.471,0.482,0.487,0.478,0.462,0.451,0.452,0.454,0.442,0.413,0.38,0.364,0.372,0.394,0.41,0.415,0.417,0.433,0.465,0.498,0.512,0.501,0.471,0.442,0.426,0.423,0.425,0.429,0.44,0.466,0.497,0.518,0.52,0.508,0.497,0.494,0.492,0.48,0.459,0.438,0.429,0.436,0.452,0.458,0.445,0.413,0.384,0.375,0.39,0.413,0.433,0.443,0.45,0.452,0.44,0.409,0.371,0.352,0.367,0.404,0.432,0.436,0.427,0.426,0.445,0.469,0.475,0.457,0.428,0.413,0.425,0.457,0.486,0.502,0.504,0.505,0.509,0.508,0.491,0.46,0.428,0.412,0.414,0.42,0.416,0.4,0.386,0.39,0.413,0.439,0.456,0.463,0.468,0.477,0.484,0.481,0.47,0.458,0.459,0.466,0.468,0.456,0.435,0.423,0.429,0.446,0.458,0.451,0.435,0.427,0.44,0.465,0.482,0.477,0.449,0.419,0.4,0.398,0.403,0.408,0.411,0.425,0.452,0.482,0.497,0.491,0.472,0.457,0.455,0.46,0.458,0.447,0.433,0.429,0.436,0.447,0.447,0.434,0.413,0.396,0.393,0.402,0.418,0.437,0.459,0.477,0.478,0.449,0.398,0.348,0.328,0.347,0.388,0.418,0.429,0.428,0.439,0.464,0.49,0.497,0.483,0.466,0.464,0.477,0.49,0.49,0.483,0.484,0.497,0.512,0.513,0.497,0.475,0.464,0.469,0.48,0.478,0.457,0.429,0.417,0.427,0.45,0.464,0.462,0.449,0.444,0.448,0.454,0.45,0.441,0.439,0.451,0.466,0.467,0.449,0.425,0.416,0.427,0.445,0.453,0.446,0.434,0.435,0.451,0.472,0.475,0.452,0.41,0.371,0.35,0.348,0.352,0.361,0.376,0.406,0.443,0.474,0.485,0.476,0.462,0.453,0.451,0.451,0.445,0.44,0.441,0.452,0.463,0.461,0.442,0.409,0.38,0.365,0.367,0.373,0.379,0.386,0.401,0.419,0.426,0.408,0.375,0.35,0.355,0.388,0.423,0.44,0.439,0.44,0.454,0.477,0.486,0.47,0.437,0.411,0.407,0.422,0.436,0.44,0.435,0.438,0.449,0.459,0.453,0.431,0.408,0.402,0.415,0.43,0.428,0.407,0.384,0.382,0.401,0.426,0.437,0.429,0.415,0.407,0.411,0.419,0.427,0.435,0.451,0.468,0.475,0.461,0.434,0.412,0.414,0.435,0.458,0.467,0.46,0.452,0.458,0.476,0.491,0.482,0.446,0.401,0.365,0.35,0.35,0.354,0.363,0.385,0.419,0.454,0.469,0.461,0.444,0.439,0.456,0.488,0.512,0.518,0.505,0.492,0.485,0.483,0.471,0.442,0.404,0.375,0.362,0.362,0.363,0.364,0.374,0.398,0.423,0.425,0.399,0.362,0.346,0.363,0.396,0.414,0.409,0.395,0.398,0.423,0.453,0.459,0.437,0.404,0.39,0.399,0.422,0.436,0.439,0.441,0.457,0.485,0.511,0.522,0.509,0.478,0.438,0.402,0.379,0.379,0.402,0.445,0.492,0.531,0.547,0.543,0.527,0.516,0.514,0.519,0.518,0.507,0.493,0.486,0.49,0.5,0.505,0.504,0.502,0.504,0.508,0.504,0.49,0.473,0.47,0.487,0.511,0.522,0.509,0.479,0.452,0.439,0.439,0.439,0.435,0.43,0.439,0.466,0.497,0.515,0.514,0.502,0.494,0.494,0.498,0.499,0.496,0.494,0.498,0.502,0.498,0.481,0.451,0.421,0.404,0.407,0.42,0.435,0.447,0.462,0.477,0.484,0.469,0.435,0.401,0.391,0.406,0.431,0.447,0.451,0.457,0.477,0.505,0.521,0.513,0.487,0.465,0.461,0.475,0.494,0.506,0.51,0.515,0.525,0.531,0.521,0.496,0.466,0.448,0.448,0.456,0.455,0.439,0.41,0.383,0.366,0.363,0.379,0.412,0.456,0.5,0.534,0.55,0.551,0.546,0.545,0.548,0.551,0.542,0.522,0.498,0.483,0.479,0.481,0.476,0.465,0.459,0.471,0.499,0.528,0.54,0.528,0.5,0.474,0.461,0.458,0.456,0.452,0.452,0.464,0.485,0.5,0.499,0.484,0.471,0.472,0.485,0.496,0.497,0.486,0.475,0.473,0.48,0.485,0.476,0.451,0.425,0.413,0.418,0.431,0.444,0.455,0.469,0.479,0.473,0.442,0.403,0.38,0.389,0.417,0.441,0.447,0.447,0.462,0.494,0.527,0.535,0.514,0.479,0.459,0.464,0.485,0.501,0.5,0.481,0.452,0.42,0.388,0.368,0.364,0.374,0.384,0.387,0.388,0.404,0.444,0.498,0.543,0.563,0.559,0.555,0.57,0.605,0.637,0.634,0.584,0.51,0.446,0.42,0.432,0.461,0.476,0.467,0.444,0.431,0.434,0.446,0.45,0.447,0.45,0.468,0.494,0.504,0.486,0.442,0.395,0.365,0.359,0.362,0.366,0.369,0.386,0.418,0.457,0.483,0.49,0.482,0.476,0.475,0.476,0.465,0.443,0.42,0.41,0.412,0.418,0.413,0.394,0.372,0.361,0.366,0.377,0.387,0.394,0.408,0.431,0.448,0.438,0.403,0.363,0.351,0.373,0.411,0.433,0.433,0.425,0.433,0.455,0.47,0.458,0.421,0.386,0.378,0.398,0.423,0.433,0.429,0.428,0.442,0.462,0.469,0.456,0.434,0.423,0.429,0.444,0.448,0.436,0.415,0.405,0.413,0.435,0.454,0.463,0.464,0.473,0.492,0.518,0.536,0.54,0.534,0.527,0.519,0.502,0.471,0.435,0.414,0.418,0.439,0.455,0.455,0.446,0.445,0.46,0.482,0.485,0.459,0.412,0.372,0.355,0.359,0.368,0.374,0.383,0.408,0.443,0.471,0.476,0.46,0.44,0.431,0.435,0.437,0.428,0.411,0.401,0.408,0.429,0.446,0.445,0.427,0.408,0.401,0.41,0.418,0.416,0.408,0.412,0.429,0.445,0.437,0.407,0.378,0.372,0.388,0.4,0.385,0.35,0.324,0.331,0.364,0.397,0.406,0.394,0.383,0.388,0.406,0.418,0.413,0.392,0.366,0.336,0.305,0.272,0.246,0.23,0.225,0.231,0.252,0.29,0.342,0.402,0.458,0.504,0.529,0.531,0.519,0.506,0.501,0.497,0.482,0.45,0.415,0.399,0.408,0.428,0.435,0.423,0.402,0.396,0.408,0.426,0.429,0.417,0.405,0.414,0.445,0.476,0.479,0.449,0.403,0.365,0.351,0.35,0.35,0.345,0.351,0.376,0.416,0.446,0.452,0.434,0.414,0.401,0.397,0.384,0.362,0.341,0.341,0.368,0.408,0.435,0.434,0.407,0.375,0.352,0.341,0.337,0.343,0.363,0.397,0.424,0.419,0.382,0.336,0.318,0.339,0.379,0.406,0.41,0.406,0.418,0.447,0.474,0.471,0.435,0.385,0.356,0.356,0.372,0.38,0.379,0.381,0.401,0.432,0.455,0.455,0.436,0.42,0.417,0.426,0.429,0.418,0.399,0.394,0.411,0.445,0.473,0.483,0.473,0.462,0.456,0.458,0.453,0.444,0.439,0.447,0.46,0.463,0.443,0.412,0.389,0.387,0.398,0.406,0.402,0.394,0.396,0.411,0.427,0.422,0.386,0.331,0.284,0.265,0.275,0.293,0.307,0.321,0.35,0.395,0.442,0.468,0.467,0.449,0.432,0.419,0.407,0.39,0.373,0.37,0.384,0.405,0.419,0.415,0.394,0.367,0.343,0.331,0.325,0.326,0.333,0.354,0.379,0.393,0.379,0.345,0.315,0.317,0.348,0.386,0.407,0.41,0.412,0.431,0.463,0.485,0.482,0.454,0.425,0.411,0.413,0.413,0.406,0.398,0.403,0.42,0.439,0.443,0.433,0.414,0.394,0.377,0.363,0.351,0.341,0.331,0.32,0.309,0.3,0.293,0.284,0.268,0.247,0.225,0.206,0.193,0.183,0.174,0.163,0.147,0.127,0.105,0.083,0.064,0.049,0.037,0.028,0.022,0.017,0.013,0.011,0.008,0.007,0.006,0.005,0.005,0.004,0.004,0.003,0.003,0.003,0.003,0.003,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]