[0,0,0,0,0.001,0.001,0.001,0.003,0.011,0.031,0.071,0.136,0.222,0.319,0.41,0.482,0.525,0.542,0.537,0.514,0.474,0.422,0.371,0.343,0.35,0.392,0.453,0.509,0.538,0.537,0.517,0.499,0.491,0.486,0.466,0.43,0.391,0.367,0.362,0.368,0.368,0.358,0.336,0.316,0.307,0.318,0.346,0.381,0.406,0.407,0.382,0.341,0.302,0.28,0.276,0.279,0.28,0.274,0.262,0.26,0.284,0.333,0.38,0.39,0.354,0.296,0.252,0.24,0.252,0.263,0.254,0.222,0.18,0.14,0.11,0.091,0.079,0.07,0.063,0.057,0.049,0.043,0.038,0.036,0.034,0.034,0.038,0.052,0.083,0.135,0.198,0.254,0.284,0.285,0.269,0.254,0.247,0.244,0.235,0.216,0.189,0.158,0.133,0.12,0.124,0.141,0.163,0.18,0.193,0.205,0.224,0.249,0.27,0.279,0.272,0.255,0.234,0.213,0.191,0.17,0.154,0.146,0.146,0.154,0.176,0.211,0.248,0.272,0.272,0.253,0.223,0.19,0.161,0.14,0.13,0.13,0.136,0.148,0.169,0.197,0.22,0.223,0.205,0.181,0.17,0.182,0.209,0.235,0.245,0.232,0.198,0.154,0.108,0.071,0.049,0.042,0.045,0.055,0.07,0.086,0.102,0.113,0.114,0.104,0.087,0.073,0.077,0.114,0.189,0.292,0.399,0.488,0.554,0.601,0.636,0.652,0.644,0.616,0.583,0.553,0.521,0.477,0.42,0.363,0.321,0.295,0.278,0.259,0.24,0.22,0.201,0.184,0.173,0.167,0.163,0.158,0.153,0.15,0.149,0.155,0.17,0.191,0.209,0.21,0.191,0.154,0.115,0.085,0.067,0.057,0.053,0.054,0.065,0.091,0.133,0.182,0.221,0.238,0.233,0.219,0.207,0.204,0.207,0.222,0.251,0.292,0.328,0.348,0.35,0.343,0.338,0.339,0.346,0.351,0.348,0.342,0.338,0.339,0.334,0.315,0.286,0.261,0.25,0.247,0.241,0.228,0.211,0.196,0.184,0.176,0.172,0.166,0.152,0.129,0.103,0.081,0.065,0.055,0.048,0.044,0.041,0.039,0.037,0.037,0.037,0.037,0.036,0.035,0.033,0.031,0.029,0.028,0.029,0.029,0.028,0.027,0.025,0.025,0.025,0.026,0.026,0.027,0.034,0.055,0.101,0.184,0.303,0.436,0.548,0.608,0.608,0.564,0.503,0.442,0.385,0.331,0.28,0.237,0.203,0.181,0.17,0.168,0.166,0.157,0.137,0.113,0.092,0.078,0.07,0.065,0.062,0.058,0.053,0.047,0.043,0.041,0.042,0.048,0.056,0.067,0.076,0.082,0.082,0.078,0.07,0.062,0.055,0.05,0.047,0.044,0.041,0.038,0.034,0.031,0.028,0.027,0.026,0.027,0.027,0.027,0.025,0.023,0.02,0.019,0.018,0.017,0.017,0.017,0.017,0.017,0.017,0.016,0.015,0.015,0.013,0.013,0.012,0.012,0.012,0.013,0.014,0.018,0.028,0.049,0.081,0.12,0.151,0.166,0.161,0.144,0.126,0.11,0.098,0.088,0.077,0.065,0.054,0.046,0.041,0.037,0.034,0.031,0.028,0.025,0.023,0.022,0.021,0.02,0.018,0.017,0.017,0.016,0.016,0.017,0.018,0.02,0.024,0.029,0.037,0.052,0.081,0.136,0.219,0.325,0.436,0.527,0.583,0.6,0.59,0.566,0.536,0.503,0.47,0.437,0.405,0.368,0.326,0.281,0.241,0.209,0.189,0.177,0.169,0.159,0.145,0.129,0.114,0.103,0.096,0.092,0.088,0.085,0.082,0.079,0.077,0.075,0.076,0.079,0.084,0.088,0.089,0.086,0.081,0.074,0.068,0.063,0.061,0.06,0.06,0.058,0.055,0.053,0.053,0.054,0.055,0.055,0.054,0.051,0.049,0.048,0.047,0.046,0.044,0.042,0.039,0.036,0.033,0.031,0.03,0.029,0.029,0.027,0.025,0.022,0.021,0.022,0.025,0.029,0.033,0.036,0.038,0.039,0.04,0.039,0.038,0.037,0.036,0.035,0.033,0.033,0.032,0.032,0.032,0.031,0.031,0.03,0.03,0.03,0.03,0.031,0.031,0.032,0.031,0.031,0.03,0.029,0.03,0.035,0.046,0.064,0.085,0.1,0.106,0.101,0.091,0.081,0.077,0.087,0.121,0.189,0.291,0.413,0.525,0.599,0.618,0.59,0.534,0.473,0.416,0.363,0.311,0.263,0.223,0.197,0.187,0.188,0.193,0.191,0.179,0.161,0.144,0.134,0.132,0.132,0.131,0.123,0.11,0.094,0.081,0.072,0.069,0.07,0.073,0.079,0.084,0.087,0.086,0.081,0.073,0.064,0.056,0.05,0.046,0.043,0.042,0.042,0.042,0.041,0.038,0.035,0.032,0.03,0.029,0.027,0.025,0.024,0.022,0.021,0.02,0.02,0.021,0.022,0.022,0.022,0.021,0.02,0.018,0.017,0.015,0.014,0.013,0.013,0.013,0.014,0.015,0.02,0.03,0.052,0.085,0.124,0.155,0.17,0.165,0.149,0.131,0.115,0.101,0.089,0.076,0.063,0.051,0.042,0.036,0.032,0.03,0.027,0.024,0.022,0.019,0.017,0.016,0.015,0.013,0.012,0.012,0.012,0.011,0.012,0.013,0.015,0.02,0.028,0.044,0.073,0.121,0.19,0.275,0.369,0.461,0.539,0.59,0.608,0.593,0.562,0.53,0.501,0.462,0.414,0.366,0.338,0.331,0.327,0.31,0.283,0.261,0.259,0.277,0.299,0.314,0.316,0.314,0.316,0.326,0.342,0.356,0.361,0.352,0.334,0.318,0.316,0.331,0.357,0.379,0.386,0.367,0.327,0.281,0.244,0.227,0.228,0.235,0.239,0.234,0.232,0.249,0.294,0.352,0.386,0.374,0.326,0.274,0.247,0.247,0.255,0.25,0.224,0.183,0.141,0.107,0.081,0.061,0.045,0.033,0.026,0.023,0.022,0.021,0.02,0.019,0.018,0.023,0.037,0.07,0.124,0.192,0.253,0.289,0.292,0.277,0.262,0.256,0.255,0.247,0.227,0.194,0.157,0.124,0.103,0.095,0.098,0.101,0.098,0.088,0.079,0.075,0.079,0.086,0.088,0.084,0.076,0.066,0.058,0.051,0.044,0.037,0.031,0.026,0.022,0.019,0.017,0.017,0.017,0.017,0.016,0.014,0.013,0.011,0.011,0.011,0.011,0.011,0.012,0.011,0.011,0.011,0.011,0.01,0.01,0.01,0.009,0.01,0.01,0.011,0.011,0.01,0.009,0.008,0.008,0.007,0.007,0.006,0.006,0.007,0.007,0.012,0.029,0.073,0.159,0.291,0.447,0.59,0.683,0.711,0.689,0.646,0.605,0.572,0.541,0.504,0.462,0.422,0.39,0.363,0.332,0.297,0.263,0.233,0.211,0.192,0.174,0.156,0.141,0.129,0.119,0.109,0.099,0.091,0.085,0.082,0.081,0.082,0.085,0.089,0.092,0.09,0.086,0.081,0.076,0.072,0.069,0.066,0.063,0.061,0.057,0.053,0.049,0.045,0.043,0.042,0.042,0.043,0.043,0.044,0.046,0.046,0.046,0.045,0.044,0.043,0.044,0.043,0.042,0.04,0.038,0.035,0.034,0.034,0.034,0.033,0.032,0.031,0.029,0.027,0.024,0.023,0.022,0.023,0.025,0.027,0.029,0.031,0.033,0.034,0.034,0.034,0.034,0.034,0.036,0.04,0.046,0.051,0.053,0.052,0.049,0.044,0.039,0.034,0.03,0.028,0.026,0.025,0.024,0.023,0.024,0.025,0.026,0.027,0.026,0.025,0.024,0.024,0.025,0.026,0.029,0.042,0.078,0.15,0.258,0.387,0.509,0.597,0.629,0.604,0.541,0.47,0.415,0.378,0.349,0.318,0.282,0.247,0.217,0.192,0.171,0.153,0.138,0.127,0.119,0.11,0.101,0.091,0.082,0.074,0.067,0.062,0.057,0.056,0.06,0.069,0.081,0.091,0.097,0.096,0.091,0.082,0.072,0.064,0.058,0.055,0.054,0.052,0.051,0.049,0.047,0.045,0.042,0.039,0.036,0.034,0.031,0.029,0.026,0.024,0.022,0.021,0.021,0.021,0.022,0.024,0.025,0.026,0.027,0.028,0.028,0.028,0.026,0.024,0.023,0.022,0.023,0.027,0.033,0.041,0.05,0.06,0.071,0.086,0.107,0.136,0.175,0.228,0.297,0.373,0.437,0.463,0.434,0.363,0.278,0.21,0.172,0.156,0.146,0.134,0.117,0.1,0.085,0.074,0.065,0.056,0.049,0.045,0.042,0.04,0.038,0.035,0.033,0.031,0.036,0.058,0.111,0.208,0.346,0.501,0.636,0.718,0.735,0.701,0.644,0.586,0.537,0.493,0.449,0.408,0.373,0.343,0.313,0.281,0.25,0.227,0.214,0.206,0.194,0.176,0.154,0.134,0.119,0.109,0.101,0.094,0.089,0.084,0.081,0.08,0.081,0.083,0.085,0.084,0.081,0.076,0.071,0.067,0.065,0.063,0.062,0.062,0.061,0.058,0.054,0.048,0.043,0.041,0.04,0.04,0.04,0.041,0.041,0.042,0.043,0.043,0.044,0.045,0.045,0.044,0.042,0.039,0.036,0.034,0.032,0.031,0.031,0.031,0.031,0.03,0.029,0.027,0.025,0.024,0.023,0.023,0.024,0.026,0.028,0.029,0.031,0.032,0.033,0.034,0.034,0.034,0.036,0.041,0.051,0.063,0.075,0.083,0.083,0.078,0.068,0.058,0.05,0.043,0.037,0.033,0.03,0.029,0.028,0.028,0.029,0.029,0.029,0.029,0.028,0.027,0.027,0.027,0.028,0.032,0.046,0.086,0.162,0.274,0.401,0.511,0.576,0.585,0.549,0.493,0.437,0.398,0.371,0.352,0.328,0.297,0.26,0.221,0.186,0.16,0.142,0.133,0.125,0.116,0.105,0.093,0.084,0.076,0.071,0.066,0.063,0.061,0.062,0.067,0.076,0.086,0.095,0.099,0.097,0.09,0.081,0.073,0.067,0.063,0.062,0.061,0.06,0.057,0.053,0.049,0.045,0.041,0.039,0.039,0.038,0.036,0.032,0.029,0.026,0.025,0.025,0.025,0.024,0.023,0.021,0.02,0.02,0.021,0.023,0.024,0.025,0.024,0.024,0.023,0.023,0.023,0.025,0.03,0.038,0.048,0.057,0.066,0.078,0.097,0.125,0.165,0.221,0.293,0.373,0.437,0.462,0.431,0.358,0.273,0.206,0.168,0.154,0.15,0.142,0.127,0.108,0.09,0.075,0.065,0.056,0.05,0.044,0.04,0.037,0.035,0.034,0.032,0.03,0.027,0.025,0.023,0.027,0.043,0.078,0.139,0.225,0.323,0.42,0.5,0.559,0.598,0.621,0.63,0.618,0.576,0.501,0.414,0.346,0.321,0.337,0.367,0.383,0.376,0.357,0.346,0.351,0.358,0.355,0.334,0.305,0.284,0.277,0.281,0.29,0.297,0.3,0.299,0.291,0.277,0.266,0.27,0.296,0.331,0.356,0.363,0.364,0.38,0.415,0.449,0.451,0.408,0.336,0.265,0.228,0.231,0.259,0.284,0.292,0.285,0.275,0.268,0.257,0.235,0.201,0.161,0.123,0.093,0.074,0.065,0.062,0.062,0.061,0.057,0.051,0.044,0.038,0.034,0.033,0.032,0.033,0.034,0.036,0.04,0.045,0.051,0.056,0.058,0.057,0.053,0.048,0.045,0.043,0.043,0.044,0.045,0.045,0.044,0.042,0.04,0.04,0.041,0.043,0.044,0.043,0.042,0.042,0.041,0.04,0.038,0.035,0.033,0.033,0.034,0.034,0.034,0.033,0.032,0.031,0.031,0.029,0.028,0.027,0.027,0.026,0.025,0.024,0.023,0.023,0.023,0.025,0.027,0.029,0.029,0.029,0.027,0.025,0.023,0.021,0.02,0.021,0.022,0.024,0.026,0.027,0.027,0.027,0.028,0.03,0.034,0.041,0.051,0.066,0.082,0.098,0.11,0.113,0.106,0.091,0.076,0.075,0.1,0.164,0.261,0.376,0.474,0.531,0.542,0.532,0.524,0.527,0.53,0.52,0.497,0.465,0.433,0.398,0.361,0.323,0.289,0.264,0.247,0.233,0.218,0.2,0.18,0.164,0.151,0.141,0.131,0.12,0.11,0.103,0.101,0.102,0.104,0.104,0.101,0.093,0.082,0.072,0.064,0.058,0.055,0.053,0.052,0.054,0.061,0.073,0.088,0.101,0.106,0.104,0.096,0.087,0.08,0.077,0.077,0.076,0.075,0.073,0.072,0.071,0.07,0.068,0.065,0.062,0.06,0.059,0.057,0.056,0.053,0.05,0.047,0.042,0.039,0.037,0.037,0.039,0.043,0.05,0.058,0.067,0.072,0.074,0.071,0.065,0.058,0.051,0.045,0.041,0.037,0.035,0.033,0.033,0.033,0.033,0.034,0.033,0.031,0.028,0.025,0.023,0.023,0.024,0.025,0.026,0.027,0.027,0.026,0.024,0.023,0.022,0.022,0.023,0.025,0.033,0.05,0.088,0.154,0.251,0.361,0.458,0.517,0.533,0.52,0.494,0.467,0.433,0.389,0.336,0.283,0.237,0.202,0.175,0.157,0.141,0.126,0.109,0.093,0.079,0.07,0.065,0.062,0.06,0.057,0.053,0.048,0.044,0.041,0.04,0.041,0.044,0.047,0.05,0.053,0.053,0.052,0.048,0.044,0.04,0.037,0.034,0.032,0.03,0.028,0.026,0.024,0.022,0.021,0.02,0.02,0.02,0.02,0.02,0.019,0.018,0.018,0.018,0.017,0.017,0.016,0.016,0.015,0.015,0.015,0.015,0.015,0.014,0.014,0.014,0.014,0.013,0.013,0.013,0.016,0.022,0.037,0.063,0.097,0.128,0.148,0.151,0.143,0.13,0.118,0.108,0.097,0.085,0.072,0.059,0.05,0.043,0.039,0.035,0.032,0.028,0.025,0.023,0.022,0.021,0.02,0.019,0.017,0.016,0.015,0.015,0.015,0.016,0.019,0.022,0.027,0.033,0.046,0.072,0.123,0.207,0.322,0.446,0.548,0.601,0.604,0.578,0.547,0.524,0.505,0.482,0.452,0.419,0.383,0.348,0.311,0.273,0.237,0.207,0.186,0.174,0.165,0.153,0.139,0.124,0.111,0.102,0.095,0.088,0.082,0.077,0.074,0.071,0.069,0.069,0.07,0.075,0.081,0.085,0.084,0.079,0.071,0.063,0.056,0.053,0.052,0.052,0.054,0.054,0.053,0.052,0.052,0.053,0.053,0.052,0.049,0.046,0.043,0.041,0.04,0.04,0.039,0.037,0.034,0.031,0.028,0.027,0.026,0.025,0.024,0.023,0.023,0.023,0.024,0.026,0.029,0.031,0.033,0.035,0.036,0.037,0.038,0.038,0.039,0.038,0.037,0.036,0.036,0.035,0.035,0.034,0.033,0.033,0.032,0.032,0.033,0.034,0.034,0.035,0.035,0.035,0.034,0.033,0.031,0.031,0.033,0.042,0.057,0.076,0.091,0.097,0.095,0.087,0.079,0.075,0.082,0.109,0.165,0.25,0.35,0.441,0.502,0.526,0.52,0.496,0.466,0.429,0.384,0.331,0.28,0.237,0.209,0.194,0.187,0.18,0.166,0.144,0.119,0.099,0.086,0.08,0.077,0.074,0.069,0.062,0.056,0.052,0.049,0.048,0.048,0.048,0.049,0.049,0.05,0.049,0.047,0.044,0.041,0.037,0.033,0.03,0.028,0.027,0.027,0.027,0.027,0.027,0.026,0.025,0.024,0.024,0.024,0.023,0.022,0.02,0.019,0.019,0.019,0.02,0.02,0.02,0.02,0.019,0.018,0.017,0.016,0.016,0.015,0.014,0.013,0.013,0.013,0.015,0.018,0.027,0.044,0.072,0.105,0.133,0.149,0.148,0.138,0.125,0.113,0.102,0.09,0.078,0.066,0.054,0.045,0.038,0.034,0.03,0.027,0.024,0.021,0.019,0.018,0.017,0.016,0.015,0.014,0.013,0.013,0.012,0.012,0.011,0.011,0.013,0.02,0.039,0.074,0.125,0.189,0.262,0.338,0.411,0.472,0.512,0.529,0.531,0.527,0.521,0.507,0.474,0.424,0.371,0.336,0.322,0.319,0.31,0.287,0.258,0.232,0.217,0.207,0.196,0.181,0.169,0.171,0.191,0.226,0.268,0.303,0.324,0.326,0.31,0.284,0.259,0.25,0.264,0.293,0.322,0.336,0.342,0.355,0.38,0.403,0.398,0.356,0.292,0.235,0.209,0.215,0.238,0.256,0.263,0.261,0.257,0.251,0.237,0.212,0.178,0.142,0.112,0.093,0.081,0.074,0.068,0.061,0.053,0.046,0.04,0.036,0.034,0.033,0.033,0.033,0.034,0.035,0.037,0.039,0.042,0.047,0.051,0.053,0.052,0.049,0.047,0.047,0.049,0.05,0.05,0.048,0.045,0.041,0.04,0.04,0.04,0.04,0.039,0.038,0.038,0.039,0.04,0.04,0.039,0.036,0.034,0.033,0.032,0.031,0.03,0.029,0.029,0.028,0.027,0.026,0.025,0.026,0.026,0.026,0.026,0.024,0.023,0.022,0.023,0.025,0.027,0.029,0.029,0.028,0.026,0.024,0.023,0.021,0.02,0.02,0.021,0.023,0.025,0.026,0.028,0.029,0.031,0.033,0.038,0.045,0.057,0.072,0.088,0.102,0.113,0.126,0.154,0.211,0.302,0.41,0.503,0.559,0.578,0.577,0.578,0.582,0.581,0.562,0.524,0.473,0.42,0.373,0.334,0.304,0.283,0.271,0.262,0.253,0.238,0.219,0.198,0.179,0.164,0.151,0.139,0.128,0.119,0.112,0.106,0.102,0.099,0.098,0.097,0.095,0.091,0.085,0.08,0.075,0.071,0.067,0.063,0.059,0.057,0.055,0.053,0.052,0.053,0.057,0.061,0.064,0.064,0.061,0.056,0.051,0.047,0.045,0.043,0.042,0.04,0.039,0.037,0.036,0.035,0.034,0.033,0.032,0.031,0.03,0.029,0.028,0.025,0.023,0.021,0.021,0.022,0.026,0.033,0.043,0.053,0.06,0.065,0.067,0.066,0.065,0.064,0.06,0.056,0.052,0.05,0.049,0.05,0.05,0.05,0.048,0.045,0.04,0.037,0.033,0.031,0.029,0.028,0.028,0.028,0.029,0.029,0.03,0.03,0.03,0.029,0.028,0.027,0.027,0.026,0.026,0.036,0.067,0.129,0.223,0.333,0.434,0.505,0.533,0.523,0.487,0.445,0.405,0.37,0.333,0.29,0.245,0.201,0.165,0.137,0.118,0.107,0.1,0.093,0.085,0.075,0.065,0.056,0.05,0.046,0.042,0.039,0.036,0.035,0.036,0.04,0.045,0.05,0.053,0.054,0.054,0.054,0.055,0.057,0.06,0.061,0.06,0.057,0.054,0.051,0.048,0.044,0.04,0.038,0.037,0.035,0.034,0.031,0.029,0.026,0.024,0.022,0.021,0.021,0.02,0.02,0.019,0.019,0.018,0.017,0.017,0.016,0.016,0.015,0.014,0.015,0.017,0.022,0.029,0.039,0.049,0.058,0.069,0.082,0.1,0.124,0.157,0.204,0.266,0.334,0.387,0.403,0.374,0.314,0.25,0.206,0.189,0.192,0.201,0.204,0.196,0.177,0.15,0.12,0.092,0.07,0.056,0.049,0.045,0.042,0.037,0.031,0.025,0.022,0.025,0.044,0.09,0.174,0.292,0.423,0.539,0.619,0.66,0.671,0.662,0.639,0.612,0.589,0.571,0.546,0.506,0.449,0.385,0.326,0.279,0.244,0.22,0.204,0.193,0.182,0.169,0.157,0.145,0.136,0.127,0.118,0.109,0.102,0.098,0.098,0.101,0.104,0.105,0.102,0.096,0.089,0.082,0.075,0.069,0.064,0.06,0.057,0.054,0.051,0.048,0.045,0.044,0.044,0.046,0.049,0.052,0.052,0.051,0.05,0.05,0.05,0.049,0.048,0.045,0.042,0.04,0.038,0.037,0.038,0.038,0.038,0.037,0.036,0.033,0.029,0.025,0.022,0.02,0.02,0.02,0.021,0.023,0.025,0.027,0.028,0.029,0.03,0.032,0.033,0.035,0.038,0.044,0.051,0.059,0.065,0.068,0.069,0.069,0.069,0.067,0.064,0.061,0.058,0.054,0.051,0.048,0.045,0.042,0.041,0.041,0.04,0.039,0.037,0.035,0.034,0.033,0.033,0.032,0.033,0.043,0.076,0.142,0.242,0.36,0.467,0.537,0.561,0.545,0.507,0.463,0.423,0.386,0.348,0.306,0.261,0.216,0.177,0.147,0.127,0.115,0.107,0.1,0.09,0.079,0.068,0.058,0.051,0.047,0.044,0.042,0.04,0.039,0.04,0.043,0.047,0.051,0.053,0.054,0.06,0.08,0.125,0.193,0.274,0.35,0.407,0.439,0.444,0.427,0.398,0.369,0.351,0.347,0.345,0.336,0.314,0.289,0.274,0.282,0.316,0.366,0.411,0.433,0.425,0.397,0.363,0.334,0.314,0.303,0.305,0.322,0.355,0.391,0.413,0.41,0.388,0.363,0.349,0.345,0.345,0.338,0.326,0.319,0.327,0.341,0.348,0.334,0.307,0.278,0.26,0.257,0.267,0.284,0.299,0.303,0.298,0.284,0.265,0.235,0.192,0.143,0.096,0.06,0.037,0.024,0.017,0.015,0.014,0.013,0.014,0.014,0.013,0.013,0.012,0.011,0.011,0.011,0.011]