[0,0,0,0,0,0.003,0.015,0.046,0.104,0.175,0.234,0.252,0.229,0.183,0.142,0.118,0.118,0.142,0.184,0.22,0.231,0.211,0.175,0.135,0.099,0.065,0.036,0.016,0.005,0.001,0.001,0.001,0.001,0.001,0.001,0.002,0.007,0.027,0.07,0.138,0.214,0.269,0.284,0.266,0.237,0.21,0.188,0.165,0.142,0.12,0.099,0.076,0.051,0.031,0.022,0.031,0.061,0.107,0.155,0.186,0.195,0.186,0.17,0.149,0.124,0.093,0.062,0.037,0.02,0.01,0.005,0.002,0.004,0.013,0.041,0.091,0.156,0.212,0.24,0.239,0.229,0.225,0.229,0.235,0.24,0.249,0.262,0.269,0.265,0.253,0.237,0.213,0.174,0.123,0.071,0.032,0.011,0.004,0.009,0.031,0.077,0.15,0.233,0.296,0.322,0.315,0.299,0.289,0.289,0.291,0.289,0.28,0.264,0.246,0.239,0.244,0.249,0.236,0.196,0.144,0.101,0.085,0.101,0.135,0.164,0.168,0.144,0.104,0.064,0.035,0.017,0.008,0.003,0.001,0,0,0,0.001,0.006,0.02,0.049,0.095,0.153,0.217,0.28,0.331,0.351,0.333,0.285,0.233,0.2,0.189,0.188,0.183,0.174,0.172,0.19,0.227,0.264,0.277,0.255,0.208,0.161,0.134,0.136,0.16,0.19,0.203,0.188,0.147,0.097,0.056,0.03,0.016,0.009,0.004,0.003,0.006,0.019,0.053,0.109,0.181,0.249,0.298,0.329,0.348,0.361,0.357,0.329,0.277,0.222,0.183,0.167,0.164,0.164,0.162,0.165,0.171,0.174,0.166,0.146,0.119,0.091,0.065,0.042,0.024,0.012,0.005,0.002,0.001,0.001,0.003,0.009,0.028,0.07,0.141,0.229,0.302,0.326,0.288,0.208,0.124,0.068,0.056,0.092,0.16,0.235,0.287,0.302,0.288,0.266,0.244,0.22,0.187,0.151,0.122,0.104,0.096,0.09,0.081,0.067,0.048,0.029,0.014,0.005,0.004,0.012,0.036,0.082,0.155,0.244,0.328,0.382,0.388,0.343,0.266,0.185,0.128,0.109,0.124,0.152,0.175,0.185,0.184,0.182,0.18,0.176,0.167,0.154,0.137,0.112,0.082,0.05,0.024,0.009,0.003,0.002,0.005,0.02,0.056,0.119,0.201,0.278,0.327,0.339,0.326,0.309,0.296,0.285,0.267,0.237,0.197,0.15,0.103,0.065,0.046,0.058,0.108,0.183,0.255,0.293,0.287,0.256,0.232,0.232,0.244,0.252,0.244,0.222,0.185,0.139,0.089,0.046,0.018,0.005,0.001,0,0,0,0,0,0.002,0.009,0.03,0.076,0.148,0.231,0.298,0.326,0.32,0.299,0.279,0.254,0.219,0.178,0.15,0.144,0.151,0.159,0.164,0.176,0.2,0.229,0.246,0.238,0.206,0.164,0.131,0.118,0.127,0.153,0.181,0.194,0.188,0.174,0.171,0.186,0.206,0.211,0.192,0.155,0.116,0.083,0.057,0.035,0.019,0.008,0.003,0.001,0.001,0.005,0.02,0.06,0.132,0.234,0.342,0.422,0.451,0.427,0.364,0.286,0.212,0.151,0.102,0.065,0.046,0.053,0.091,0.154,0.228,0.29,0.326,0.325,0.288,0.225,0.153,0.089,0.045,0.019,0.007,0.003,0.008,0.031,0.084,0.173,0.28,0.367,0.404,0.385,0.335,0.281,0.238,0.2,0.166,0.142,0.144,0.179,0.24,0.306,0.356,0.377,0.361,0.314,0.246,0.176,0.119,0.089,0.089,0.113,0.144,0.164,0.163,0.145,0.119,0.09,0.063,0.038,0.019,0.008,0.007,0.018,0.043,0.081,0.126,0.163,0.18,0.184,0.194,0.227,0.28,0.328,0.344,0.324,0.282,0.238,0.203,0.185,0.186,0.203,0.22,0.227,0.217,0.198,0.176,0.16,0.158,0.171,0.188,0.19,0.168,0.125,0.077,0.038,0.016,0.005,0.002,0,0,0.001,0.001,0.003,0.011,0.034,0.084,0.167,0.269,0.355,0.389,0.363,0.294,0.215,0.148,0.105,0.088,0.097,0.12,0.138,0.138,0.122,0.106,0.098,0.093,0.081,0.06,0.036,0.023,0.034,0.074,0.143,0.225,0.297,0.334,0.331,0.299,0.261,0.233,0.226,0.237,0.253,0.258,0.241,0.204,0.163,0.138,0.139,0.161,0.188,0.215,0.24,0.261,0.268,0.255,0.231,0.219,0.228,0.24,0.23,0.187,0.13,0.09,0.09,0.127,0.177,0.207,0.201,0.168,0.13,0.105,0.095,0.091,0.086,0.079,0.07,0.059,0.045,0.033,0.035,0.071,0.156,0.276,0.386,0.432,0.393,0.297,0.199,0.14,0.123,0.132,0.143,0.145,0.133,0.111,0.086,0.063,0.045,0.03,0.017,0.008,0.003,0.001,0.001,0.003,0.012,0.04,0.1,0.19,0.286,0.348,0.351,0.298,0.22,0.145,0.092,0.066,0.066,0.086,0.114,0.134,0.138,0.127,0.112,0.101,0.097,0.099,0.102,0.104,0.099,0.085,0.065,0.042,0.023,0.01,0.004,0.001,0.001,0.005,0.018,0.05,0.108,0.187,0.268,0.324,0.333,0.294,0.223,0.149,0.102,0.103,0.151,0.22,0.269,0.271,0.231,0.181,0.151,0.151,0.168,0.183,0.185,0.174,0.156,0.134,0.107,0.076,0.046,0.022,0.008,0.002,0,0,0,0,0,0,0,0.001,0.004,0.019,0.057,0.131,0.237,0.351,0.436,0.465,0.44,0.378,0.304,0.234,0.176,0.136,0.114,0.11,0.118,0.133,0.15,0.165,0.179,0.197,0.218,0.237,0.243,0.234,0.213,0.194,0.185,0.182,0.172,0.145,0.103,0.06,0.027,0.01,0.003,0.002,0.005,0.015,0.034,0.063,0.105,0.156,0.207,0.235,0.223,0.174,0.11,0.055,0.022,0.009,0.013,0.035,0.083,0.153,0.229,0.288,0.314,0.307,0.278,0.246,0.227,0.232,0.254,0.28,0.303,0.325,0.347,0.358,0.338,0.285,0.219,0.172,0.165,0.195,0.245,0.297,0.335,0.351,0.337,0.298,0.243,0.184,0.128,0.079,0.043,0.019,0.007,0.003,0.008,0.031,0.085,0.171,0.271,0.345,0.365,0.33,0.267,0.207,0.176,0.176,0.2,0.228,0.246,0.251,0.254,0.262,0.269,0.26,0.231,0.194,0.163,0.147,0.144,0.15,0.163,0.177,0.187,0.191,0.189,0.181,0.165,0.139,0.107,0.079,0.064,0.066,0.083,0.106,0.122,0.125,0.116,0.099,0.082,0.064,0.045,0.028,0.014,0.01,0.023,0.064,0.134,0.217,0.28,0.297,0.266,0.213,0.166,0.135,0.116,0.107,0.11,0.131,0.161,0.18,0.171,0.132,0.081,0.039,0.014,0.009,0.028,0.078,0.163,0.265,0.344,0.37,0.339,0.278,0.218,0.173,0.14,0.115,0.098,0.089,0.084,0.088,0.106,0.139,0.176,0.194,0.177,0.131,0.078,0.036,0.013,0.003,0.002,0.009,0.031,0.079,0.155,0.249,0.334,0.39,0.399,0.371,0.326,0.291,0.28,0.296,0.327,0.359,0.369,0.344,0.285,0.216,0.161,0.138,0.148,0.176,0.206,0.219,0.209,0.18,0.152,0.137,0.138,0.146,0.156,0.161,0.162,0.158,0.155,0.159,0.175,0.197,0.209,0.202,0.177,0.142,0.103,0.067,0.037,0.016,0.006,0.002,0.001,0.003,0.012,0.039,0.097,0.19,0.303,0.408,0.477,0.5,0.479,0.424,0.35,0.274,0.21,0.164,0.136,0.129,0.151,0.208,0.284,0.348,0.368,0.343,0.298,0.263,0.246,0.237,0.22,0.193,0.167,0.152,0.148,0.15,0.156,0.166,0.179,0.189,0.196,0.2,0.203,0.2,0.186,0.165,0.144,0.132,0.129,0.125,0.11,0.083,0.051,0.025,0.009,0.005,0.014,0.047,0.106,0.185,0.256,0.299,0.311,0.308,0.306,0.303,0.295,0.286,0.282,0.282,0.275,0.251,0.205,0.146,0.088,0.046,0.029,0.044,0.093,0.164,0.232,0.272,0.279,0.268,0.255,0.246,0.237,0.228,0.227,0.24,0.261,0.281,0.289,0.286,0.279,0.276,0.283,0.295,0.298,0.279,0.239,0.19,0.152,0.134,0.131,0.136,0.142,0.147,0.148,0.143,0.134,0.133,0.146,0.174,0.2,0.207,0.186,0.144,0.094,0.052,0.026,0.021,0.037,0.071,0.116,0.164,0.21,0.251,0.284,0.305,0.313,0.311,0.298,0.274,0.241,0.21,0.185,0.167,0.149,0.132,0.114,0.099,0.087,0.083,0.087,0.097,0.1,0.089,0.064,0.038,0.024,0.037,0.081,0.148,0.213,0.245,0.232,0.193,0.159,0.148,0.155,0.166,0.173,0.182,0.196,0.213,0.227,0.232,0.226,0.211,0.192,0.173,0.155,0.141,0.136,0.145,0.164,0.179,0.177,0.159,0.142,0.136,0.136,0.127,0.101,0.066,0.035,0.014,0.005,0.001,0,0,0,0.001,0.001,0.002,0.007,0.026,0.07,0.145,0.241,0.336,0.404,0.432,0.416,0.367,0.298,0.233,0.189,0.174,0.183,0.199,0.205,0.197,0.189,0.194,0.216,0.239,0.247,0.231,0.197,0.156,0.125,0.107,0.098,0.085,0.065,0.041,0.026,0.03,0.062,0.118,0.181,0.226,0.248,0.255,0.265,0.276,0.279,0.271,0.259,0.253,0.246,0.232,0.211,0.194,0.19,0.202,0.228,0.266,0.307,0.348,0.387,0.425,0.448,0.44,0.396,0.334,0.273,0.225,0.189,0.161,0.142,0.129,0.117,0.102,0.084,0.069,0.058,0.047,0.034,0.02,0.009,0.003,0.001,0,0,0.001,0.001,0.004,0.015,0.047,0.106,0.19,0.274,0.331,0.343,0.313,0.262,0.214,0.185,0.184,0.204,0.226,0.231,0.211,0.173,0.135,0.105,0.088,0.078,0.074,0.072,0.066,0.054,0.038,0.022,0.01,0.003,0.001,0,0.001,0.006,0.022,0.056,0.107,0.166,0.218,0.258,0.281,0.284,0.261,0.217,0.17,0.138,0.126,0.132,0.145,0.158,0.163,0.155,0.134,0.113,0.106,0.115,0.128,0.125,0.101,0.066,0.033,0.013,0.004,0.002,0.007,0.023,0.063,0.132,0.225,0.317,0.377,0.383,0.337,0.26,0.178,0.11,0.061,0.03,0.012,0.004,0.002,0.004,0.016,0.044,0.091,0.145,0.181,0.182,0.147,0.094,0.049,0.028,0.037,0.077,0.143,0.221,0.291,0.338,0.358,0.354,0.33,0.288,0.231,0.168,0.108,0.067,0.057,0.079,0.12,0.16,0.184,0.192,0.201,0.218,0.239,0.242,0.213,0.157,0.099,0.067,0.074,0.114,0.164,0.202,0.218,0.216,0.208,0.205,0.208,0.209,0.195,0.158,0.107,0.057,0.024,0.014,0.028,0.07,0.141,0.232,0.318,0.372,0.379,0.345,0.29,0.237,0.194,0.161,0.132,0.107,0.09,0.085,0.091,0.102,0.116,0.13,0.141,0.142,0.126,0.095,0.06,0.031,0.013,0.004,0.001,0,0,0,0,0,0,0,0.001,0.007,0.027,0.074,0.155,0.259,0.358,0.421,0.428,0.383,0.307,0.231,0.172,0.136,0.12,0.119,0.128,0.134,0.128,0.106,0.081,0.075,0.108,0.178,0.265,0.336,0.367,0.354,0.314,0.272,0.242,0.218,0.193,0.165,0.14,0.124,0.117,0.122,0.142,0.177,0.219,0.248,0.244,0.202,0.138,0.076,0.033,0.011,0.005,0.01,0.028,0.064,0.12,0.191,0.27,0.347,0.408,0.435,0.412,0.345,0.266,0.211,0.199,0.216,0.234,0.23,0.205,0.17,0.147,0.142,0.157,0.178,0.188,0.173,0.135,0.087,0.045,0.018,0.006,0.005,0.018,0.055,0.121,0.203,0.271,0.294,0.276,0.244,0.229,0.237,0.251,0.254,0.242,0.225,0.209,0.203,0.211,0.231,0.249,0.253,0.242,0.226,0.214,0.205,0.196,0.186,0.176,0.163,0.142,0.11,0.075,0.043,0.021,0.008,0.003,0.001,0,0.001,0.001,0.001,0.004,0.015,0.047,0.101,0.166,0.214,0.225,0.196,0.15,0.113,0.1,0.109,0.127,0.136,0.126,0.097,0.064,0.043,0.047,0.079,0.127,0.178,0.22,0.255,0.283,0.303,0.299,0.263,0.199,0.127,0.066,0.027,0.008,0.002,0.002,0.01,0.032,0.078,0.154,0.249,0.34,0.399,0.414,0.386,0.332,0.272,0.229,0.217,0.234,0.263,0.285,0.293,0.289,0.279,0.275,0.288,0.318,0.343,0.335,0.28,0.195,0.111,0.053,0.033,0.055,0.12,0.215,0.31,0.367,0.368,0.326,0.273,0.23,0.201,0.177,0.158,0.147,0.151,0.165,0.172,0.162,0.14,0.129,0.153,0.211,0.276,0.314,0.311,0.283,0.25,0.225,0.203,0.179,0.155,0.137,0.125,0.115,0.109,0.108,0.113,0.117,0.116,0.114,0.12,0.137,0.16,0.179,0.181,0.159,0.119,0.072,0.034,0.012,0.003,0,0,0,0,0,0,0,0.001,0.006,0.02,0.051,0.095,0.145,0.187,0.218,0.241,0.258,0.264,0.256,0.233,0.196,0.149,0.102,0.07,0.07,0.106,0.165,0.224,0.262,0.272,0.262,0.245,0.229,0.211,0.186,0.154,0.123,0.105,0.102,0.112,0.124,0.137,0.152,0.171,0.188,0.189,0.165,0.12,0.07,0.033,0.017,0.033,0.092,0.197,0.324,0.42,0.438,0.374,0.27,0.179,0.13,0.117,0.124,0.133,0.137,0.134,0.129,0.127,0.14,0.172,0.218,0.263,0.293,0.299,0.289,0.276,0.27,0.266,0.26,0.254,0.255,0.264,0.264,0.243,0.197,0.14,0.087,0.047,0.022,0.009,0.005,0.012,0.036,0.084,0.147,0.205,0.236,0.232,0.203,0.171,0.156,0.172,0.218,0.274,0.311,0.312,0.283,0.247,0.219,0.198,0.181,0.164,0.15,0.138,0.134,0.138,0.151,0.164,0.165,0.147,0.113,0.074,0.04,0.018,0.006,0.002,0.001,0.006,0.023,0.06,0.118,0.187,0.243,0.264,0.248,0.214,0.189,0.184,0.194,0.201,0.194,0.176,0.153,0.132,0.118,0.107,0.095,0.079,0.057,0.035,0.018,0.007,0.004,0.011,0.033,0.079,0.145,0.213,0.259,0.268,0.246,0.211,0.185,0.176,0.182,0.194,0.205,0.204,0.186,0.149,0.102,0.062,0.045,0.057,0.092,0.137,0.17,0.181,0.172,0.154,0.137,0.124,0.116,0.112,0.113,0.117,0.12,0.117,0.102,0.078,0.051,0.032,0.035,0.064,0.115,0.171,0.21,0.225,0.221,0.208,0.191,0.168,0.141,0.119,0.113,0.126,0.149,0.169,0.176,0.17,0.155,0.132,0.102,0.069,0.04,0.019,0.008,0.003,0.001,0,0,0,0,0,0.001,0.001,0.002,0.006,0.022,0.063,0.136,0.227,0.307,0.346,0.338,0.301,0.263,0.24,0.235,0.241,0.249,0.246,0.227,0.193,0.164,0.157,0.177,0.21,0.233,0.233,0.218,0.206,0.209,0.223,0.227,0.206,0.158,0.1,0.051,0.021,0.007,0.004,0.012,0.037,0.085,0.152,0.22,0.264,0.271,0.251,0.229,0.225,0.241,0.267,0.294,0.321,0.343,0.349,0.327,0.287,0.245,0.219,0.216,0.239,0.28,0.313,0.307,0.253,0.17,0.091,0.037,0.012,0.003,0.001,0.001,0.002,0.006,0.018,0.043,0.085,0.138,0.186,0.213,0.21,0.185,0.163,0.162,0.187,0.218,0.236,0.229,0.202,0.162,0.117,0.074,0.046,0.045,0.08,0.142,0.209,0.257,0.273,0.262,0.235,0.201,0.166,0.138,0.124,0.122,0.129,0.134,0.133,0.12,0.097,0.079,0.086,0.135,0.219,0.308,0.367,0.373,0.331,0.264,0.201,0.163,0.151,0.151,0.149,0.134,0.11,0.08,0.055,0.044,0.06,0.106,0.171,0.227,0.252,0.239,0.201,0.16,0.135,0.132,0.14,0.144,0.135,0.116,0.096,0.079,0.063,0.047,0.033,0.03,0.045,0.079,0.127,0.176,0.219,0.254,0.285,0.309,0.316,0.294,0.253,0.213,0.195,0.192,0.185,0.163,0.137,0.123,0.125,0.131,0.125,0.101,0.069,0.038,0.018,0.007,0.003,0.001,0.001,0.003,0.011,0.031,0.073,0.135,0.208,0.27,0.306,0.306,0.284,0.253,0.23,0.215,0.208,0.206,0.205,0.2,0.182,0.152,0.116,0.083,0.058,0.045,0.054,0.098,0.178,0.271,0.338,0.356,0.331,0.287,0.249,0.22,0.196,0.172,0.156,0.152,0.162,0.176,0.18,0.168,0.139,0.1,0.061,0.03,0.013,0.013,0.039,0.099,0.189,0.283,0.346,0.36,0.333,0.296,0.271,0.261,0.25,0.226,0.185,0.141,0.108,0.096,0.107,0.134,0.166,0.186,0.187,0.172,0.154,0.14,0.128,0.113,0.091,0.068,0.046,0.029,0.016,0.008,0.003,0.001,0.001,0.001,0.001,0.001,0.001,0.006,0.02,0.057,0.118,0.194,0.262,0.301,0.307,0.295,0.281,0.277,0.275,0.268,0.252,0.233,0.215,0.203,0.201,0.212,0.231,0.238,0.222,0.186,0.153,0.143,0.161,0.184,0.188,0.16,0.111,0.061,0.026,0.01,0.013,0.037,0.086,0.15,0.207,0.231,0.215,0.176,0.138,0.116,0.118,0.142,0.178,0.204,0.202,0.168,0.124,0.106,0.136,0.21,0.293,0.344,0.343,0.301,0.25,0.216,0.206,0.216,0.236,0.256,0.262,0.249,0.22,0.186,0.154,0.121,0.088,0.067,0.079,0.136,0.223,0.304,0.344,0.333,0.293,0.256,0.238,0.231,0.215,0.181,0.14,0.111,0.105,0.115,0.123,0.116,0.092,0.06,0.031,0.012,0.004,0.001,0,0,0,0,0,0.001,0.006,0.023,0.068,0.144,0.238,0.316,0.346,0.327,0.285,0.249,0.226,0.199,0.157,0.115,0.099,0.125,0.183,0.243,0.282,0.292,0.291,0.296,0.317,0.347,0.369,0.364,0.337,0.301,0.279,0.269,0.267,0.268,0.28,0.297,0.31,0.294,0.243,0.168,0.094,0.042,0.017,0.016,0.037,0.077,0.127,0.171,0.203,0.235,0.275,0.319,0.343,0.335,0.3,0.26,0.227,0.199,0.177,0.157,0.141,0.125,0.117,0.126,0.155,0.193,0.217,0.215,0.195,0.174,0.169,0.178,0.188,0.183,0.158,0.117,0.074,0.039,0.017,0.009,0.014,0.035,0.074,0.123,0.164,0.18,0.17,0.151,0.14,0.144,0.152,0.15,0.135,0.11,0.085,0.068,0.058,0.05,0.04,0.027,0.014,0.006,0.002,0.001,0.001,0.003,0.013,0.039,0.093,0.168,0.244,0.294,0.308,0.309,0.322,0.347,0.364,0.354,0.322,0.291,0.277,0.279,0.283,0.278,0.266,0.258,0.267,0.294,0.322,0.327,0.294,0.226,0.145,0.076,0.033,0.017,0.028,0.066,0.124,0.184,0.222,0.226,0.211,0.199,0.207,0.227,0.243,0.237,0.21,0.173,0.139,0.113,0.095,0.076,0.055,0.034,0.018,0.011,0.017,0.041,0.089,0.16,0.237,0.293,0.305,0.274,0.222,0.173,0.14,0.119,0.104,0.094,0.092,0.099,0.103,0.096,0.079,0.061,0.048,0.041,0.033,0.023,0.013,0.006,0.003,0.002,0.003,0.009,0.029,0.072,0.136,0.207,0.259,0.288,0.305,0.323,0.329,0.306,0.249,0.19,0.164,0.183,0.222,0.253,0.269,0.287,0.315,0.348,0.369,0.37,0.352,0.315,0.268,0.224,0.203,0.212,0.24,0.263,0.264,0.24,0.195,0.142,0.1,0.093,0.139,0.233,0.334,0.389,0.374,0.315,0.265,0.255,0.275,0.294,0.296,0.284,0.269,0.251,0.235,0.231,0.254,0.301,0.354,0.391,0.402,0.384,0.34,0.285,0.246,0.247,0.288,0.344,0.377,0.366,0.311,0.237,0.165,0.107,0.064,0.035,0.02,0.024,0.056,0.12,0.211,0.309,0.393,0.449,0.47,0.459,0.422,0.374,0.326,0.282,0.246,0.225,0.222,0.225,0.217,0.193,0.17,0.168,0.191,0.218,0.227,0.213,0.189,0.166,0.144,0.114,0.078,0.043,0.018,0.006,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]