[0.249,0.284,0.349,0.404,0.42,0.395,0.344,0.281,0.217,0.158,0.11,0.077,0.057,0.045,0.034,0.022,0.013,0.008,0.007,0.007,0.01,0.023,0.063,0.142,0.258,0.38,0.469,0.495,0.462,0.386,0.294,0.202,0.124,0.066,0.033,0.026,0.049,0.104,0.179,0.249,0.283,0.267,0.212,0.142,0.08,0.039,0.017,0.011,0.024,0.065,0.143,0.251,0.363,0.444,0.474,0.454,0.397,0.313,0.219,0.129,0.066,0.039,0.055,0.107,0.179,0.245,0.283,0.279,0.241,0.184,0.125,0.075,0.039,0.018,0.008,0.007,0.014,0.038,0.083,0.147,0.211,0.254,0.259,0.227,0.172,0.113,0.064,0.031,0.014,0.008,0.007,0.01,0.024,0.062,0.134,0.233,0.331,0.391,0.39,0.334,0.25,0.166,0.1,0.063,0.063,0.103,0.172,0.247,0.302,0.325,0.317,0.289,0.25,0.209,0.173,0.145,0.119,0.091,0.061,0.035,0.018,0.014,0.027,0.06,0.11,0.164,0.197,0.193,0.155,0.108,0.083,0.105,0.178,0.279,0.369,0.417,0.41,0.362,0.298,0.247,0.222,0.223,0.237,0.248,0.246,0.224,0.185,0.133,0.082,0.041,0.017,0.007,0.004,0.005,0.011,0.026,0.057,0.106,0.166,0.221,0.257,0.263,0.246,0.219,0.194,0.176,0.16,0.135,0.103,0.072,0.057,0.066,0.093,0.124,0.149,0.166,0.183,0.199,0.209,0.2,0.173,0.145,0.136,0.148,0.166,0.168,0.15,0.124,0.108,0.109,0.119,0.124,0.116,0.093,0.064,0.039,0.034,0.064,0.139,0.25,0.36,0.428,0.427,0.371,0.29,0.216,0.16,0.117,0.081,0.05,0.027,0.015,0.018,0.034,0.061,0.094,0.124,0.146,0.155,0.146,0.119,0.083,0.054,0.044,0.053,0.066,0.071,0.068,0.066,0.077,0.101,0.124,0.128,0.108,0.074,0.042,0.021,0.018,0.032,0.06,0.093,0.118,0.128,0.123,0.111,0.097,0.084,0.075,0.075,0.082,0.086,0.078,0.057,0.033,0.016,0.007,0.004,0.004,0.006,0.016,0.044,0.095,0.165,0.235,0.281,0.286,0.25,0.187,0.12,0.069,0.049,0.066,0.112,0.17,0.213,0.224,0.204,0.169,0.137,0.118,0.105,0.087,0.062,0.036,0.017,0.008,0.01,0.023,0.044,0.072,0.1,0.132,0.167,0.202,0.219,0.204,0.159,0.103,0.056,0.033,0.042,0.082,0.144,0.206,0.238,0.228,0.187,0.15,0.148,0.188,0.249,0.301,0.324,0.316,0.29,0.253,0.208,0.155,0.102,0.064,0.055,0.083,0.139,0.199,0.236,0.239,0.217,0.189,0.164,0.14,0.111,0.076,0.044,0.021,0.009,0.008,0.018,0.04,0.075,0.115,0.151,0.173,0.18,0.178,0.176,0.185,0.209,0.242,0.271,0.282,0.267,0.23,0.179,0.124,0.076,0.045,0.038,0.057,0.099,0.148,0.187,0.201,0.183,0.144,0.102,0.082,0.098,0.15,0.219,0.278,0.307,0.3,0.268,0.23,0.194,0.169,0.15,0.13,0.104,0.074,0.044,0.022,0.01,0.006,0.013,0.04,0.098,0.177,0.249,0.281,0.264,0.222,0.184,0.158,0.138,0.125,0.131,0.169,0.23,0.284,0.305,0.286,0.237,0.179,0.133,0.119,0.142,0.194,0.243,0.263,0.244,0.203,0.163,0.144,0.141,0.142,0.136,0.128,0.134,0.154,0.178,0.186,0.174,0.15,0.128,0.114,0.101,0.082,0.056,0.035,0.032,0.059,0.121,0.207,0.291,0.345,0.353,0.315,0.25,0.178,0.126,0.106,0.118,0.14,0.15,0.133,0.097,0.058,0.029,0.013,0.01,0.02,0.052,0.114,0.208,0.309,0.391,0.43,0.433,0.41,0.371,0.315,0.24,0.161,0.1,0.076,0.088,0.121,0.159,0.195,0.23,0.259,0.277,0.276,0.256,0.227,0.198,0.173,0.152,0.134,0.124,0.123,0.126,0.122,0.105,0.078,0.053,0.046,0.067,0.117,0.182,0.239,0.27,0.264,0.227,0.17,0.11,0.061,0.029,0.015,0.014,0.02,0.03,0.041,0.057,0.084,0.126,0.173,0.208,0.214,0.19,0.15,0.117,0.114,0.152,0.218,0.277,0.29,0.249,0.18,0.123,0.104,0.116,0.138,0.149,0.14,0.113,0.079,0.048,0.027,0.019,0.025,0.053,0.111,0.201,0.299,0.373,0.394,0.366,0.315,0.27,0.24,0.216,0.184,0.146,0.117,0.113,0.141,0.188,0.239,0.277,0.301,0.313,0.315,0.309,0.29,0.263,0.235,0.219,0.221,0.236,0.251,0.251,0.23,0.199,0.171,0.16,0.165,0.175,0.175,0.158,0.133,0.123,0.148,0.204,0.266,0.298,0.279,0.219,0.142,0.077,0.034,0.013,0.006,0.006,0.015,0.04,0.088,0.157,0.23,0.29,0.323,0.335,0.335,0.334,0.334,0.332,0.321,0.293,0.254,0.212,0.175,0.144,0.113,0.081,0.051,0.034,0.037,0.062,0.103,0.144,0.168,0.169,0.154,0.139,0.132,0.125,0.11,0.087,0.073,0.089,0.144,0.22,0.281,0.294,0.25,0.173,0.098,0.055,0.053,0.085,0.133,0.177,0.196,0.18,0.138,0.086,0.044,0.018,0.007,0.004,0.004,0.009,0.026,0.063,0.124,0.204,0.287,0.353,0.38,0.361,0.311,0.25,0.197,0.155,0.116,0.078,0.047,0.03,0.033,0.064,0.125,0.209,0.296,0.358,0.38,0.361,0.315,0.252,0.184,0.12,0.073,0.059,0.084,0.141,0.205,0.251,0.263,0.244,0.206,0.161,0.118,0.081,0.051,0.032,0.024,0.032,0.061,0.107,0.155,0.189,0.192,0.168,0.132,0.106,0.101,0.117,0.144,0.169,0.182,0.175,0.149,0.109,0.068,0.036,0.016,0.007,0.004,0.003,0.006,0.017,0.049,0.108,0.187,0.262,0.307,0.315,0.3,0.277,0.256,0.234,0.215,0.201,0.19,0.17,0.135,0.092,0.064,0.069,0.108,0.164,0.208,0.217,0.188,0.135,0.08,0.04,0.017,0.008,0.007,0.018,0.051,0.113,0.2,0.292,0.362,0.394,0.389,0.359,0.318,0.276,0.236,0.199,0.166,0.14,0.121,0.106,0.086,0.061,0.036,0.02,0.02,0.04,0.077,0.121,0.153,0.162,0.15,0.127,0.104,0.083,0.062,0.043,0.03,0.033,0.059,0.109,0.172,0.235,0.279,0.299,0.299,0.286,0.269,0.253,0.236,0.216,0.196,0.183,0.187,0.209,0.237,0.251,0.243,0.218,0.189,0.162,0.142,0.13,0.125,0.123,0.117,0.1,0.076,0.051,0.038,0.042,0.063,0.091,0.116,0.127,0.123,0.105,0.078,0.049,0.026,0.012,0.007,0.011,0.031,0.069,0.121,0.168,0.188,0.18,0.167,0.175,0.212,0.258,0.285,0.278,0.244,0.197,0.152,0.112,0.078,0.05,0.028,0.017,0.019,0.042,0.088,0.153,0.215,0.256,0.264,0.246,0.221,0.209,0.216,0.234,0.243,0.225,0.18,0.121,0.067,0.031,0.014,0.017,0.042,0.093,0.163,0.226,0.254,0.235,0.182,0.127,0.095,0.101,0.136,0.186,0.234,0.265,0.269,0.245,0.204,0.162,0.132,0.114,0.098,0.082,0.069,0.066,0.069,0.072,0.069,0.065,0.065,0.067,0.065,0.053,0.036,0.023,0.025,0.046,0.082,0.123,0.156,0.18,0.198,0.208,0.207,0.188,0.157,0.127,0.11,0.107,0.114,0.124,0.131,0.131,0.119,0.096,0.066,0.037,0.018,0.008,0.004,0.003,0.003,0.003,0.004,0.009,0.025,0.062,0.12,0.19,0.251,0.283,0.283,0.261,0.233,0.211,0.2,0.199,0.199,0.193,0.176,0.151,0.125,0.106,0.1,0.112,0.137,0.164,0.174,0.159,0.12,0.077,0.04,0.02,0.016,0.033,0.068,0.116,0.161,0.192,0.207,0.208,0.198,0.172,0.13,0.082,0.043,0.026,0.037,0.079,0.148,0.225,0.285,0.304,0.283,0.242,0.213,0.212,0.237,0.264,0.271,0.246,0.194,0.133,0.081,0.049,0.036,0.042,0.06,0.082,0.098,0.101,0.098,0.105,0.144,0.22,0.314,0.388,0.415,0.388,0.329,0.256,0.188,0.127,0.078,0.042,0.02,0.013,0.021,0.047,0.093,0.15,0.201,0.231,0.241,0.24,0.239,0.235,0.217,0.178,0.125,0.075,0.037,0.016,0.009,0.014,0.037,0.08,0.133,0.171,0.175,0.146,0.109,0.093,0.106,0.134,0.151,0.143,0.116,0.093,0.094,0.122,0.158,0.173,0.158,0.132,0.122,0.143,0.184,0.219,0.233,0.224,0.203,0.18,0.156,0.13,0.102,0.074,0.057,0.057,0.072,0.089,0.096,0.092,0.086,0.091,0.104,0.115,0.116,0.107,0.09,0.071,0.05,0.032,0.029,0.055,0.121,0.221,0.327,0.402,0.419,0.38,0.312,0.247,0.202,0.179,0.169,0.16,0.143,0.116,0.082,0.05,0.031,0.035,0.071,0.139,0.228,0.31,0.351,0.336,0.274,0.192,0.117,0.068,0.052,0.079,0.145,0.23,0.294,0.309,0.277,0.235,0.214,0.228,0.253,0.264,0.248,0.221,0.2,0.197,0.205,0.211,0.205,0.19,0.176,0.17,0.169,0.16,0.133,0.093,0.053,0.025,0.011,0.006,0.008,0.023,0.063,0.136,0.233,0.324,0.387,0.41,0.401,0.371,0.329,0.281,0.236,0.203,0.182,0.173,0.166,0.161,0.16,0.17,0.188,0.199,0.194,0.179,0.164,0.159,0.156,0.149,0.135,0.121,0.115,0.119,0.127,0.129,0.115,0.086,0.053,0.033,0.038,0.072,0.128,0.182,0.209,0.194,0.153,0.112,0.09,0.085,0.088,0.095,0.109,0.126,0.133,0.12,0.088,0.052,0.025,0.013,0.022,0.058,0.122,0.206,0.281,0.321,0.313,0.268,0.207,0.148,0.103,0.081,0.088,0.119,0.164,0.205,0.23,0.234,0.219,0.193,0.167,0.144,0.127,0.113,0.101,0.094,0.091,0.088,0.081,0.068,0.054,0.05,0.062,0.087,0.114,0.137,0.154,0.169,0.181,0.184,0.171,0.141,0.1,0.062,0.037,0.036,0.063,0.111,0.165,0.202,0.207,0.177,0.128,0.078,0.039,0.017,0.009,0.016,0.043,0.096,0.169,0.238,0.281,0.287,0.268,0.244,0.234,0.239,0.245,0.236,0.203,0.158,0.122,0.11,0.115,0.118,0.107,0.081,0.053,0.034,0.036,0.063,0.115,0.182,0.245,0.285,0.295,0.278,0.25,0.223,0.205,0.194,0.186,0.18,0.172,0.16,0.142,0.122,0.109,0.119,0.154,0.199,0.224,0.217,0.188,0.156,0.13,0.114,0.103,0.094,0.082,0.064,0.043,0.025,0.018,0.029,0.061,0.111,0.16,0.187,0.181,0.155,0.135,0.139,0.165,0.196,0.217,0.225,0.221,0.203,0.169,0.123,0.078,0.048,0.045,0.072,0.122,0.18,0.225,0.244,0.231,0.193,0.143,0.097,0.072,0.076,0.106,0.145,0.172,0.178,0.174,0.186,0.235,0.31,0.38,0.406,0.383,0.327,0.266,0.213,0.178,0.16,0.162,0.172,0.18,0.183,0.188,0.196,0.208,0.219,0.229,0.227,0.204,0.158,0.104,0.059,0.038,0.046,0.082,0.13,0.173,0.19,0.175,0.136,0.09,0.056,0.045,0.059,0.09,0.126,0.157,0.188,0.221,0.247,0.248,0.213,0.151,0.088,0.046,0.036,0.064,0.129,0.215,0.298,0.346,0.35,0.32,0.279,0.25,0.248,0.269,0.3,0.314,0.3,0.266,0.244,0.26,0.314,0.375,0.403,0.382,0.331,0.283,0.262,0.271,0.292,0.308,0.307,0.291,0.267,0.24,0.21,0.176,0.139,0.101,0.066,0.038,0.019,0.009,0.006,0.009,0.022,0.05,0.095,0.147,0.194,0.225,0.239,0.244,0.239,0.225,0.204,0.188,0.185,0.196,0.213,0.221,0.212,0.192,0.173,0.163,0.156,0.14,0.11,0.073,0.045,0.042,0.082,0.168,0.286,0.398,0.469,0.487,0.466,0.432,0.396,0.359,0.314,0.259,0.197,0.134,0.084,0.057,0.067,0.112,0.177,0.234,0.258,0.246,0.213,0.173,0.133,0.094,0.062,0.052,0.069,0.111,0.159,0.198,0.22,0.23,0.227,0.21,0.176,0.131,0.084,0.047,0.027,0.031,0.062,0.118,0.184,0.231,0.238,0.209,0.173,0.162,0.186,0.223,0.242,0.225,0.176,0.12,0.08,0.071,0.096,0.142,0.19,0.224,0.235,0.223,0.19,0.143,0.094,0.053,0.028,0.025,0.045,0.086,0.136,0.174,0.184,0.165,0.139,0.128,0.14,0.158,0.158,0.135,0.105,0.097,0.125,0.18,0.24,0.276,0.277,0.247,0.205,0.17,0.154,0.152,0.148,0.129,0.097,0.068,0.058,0.072,0.099,0.125,0.143,0.155,0.163,0.165,0.155,0.133,0.118,0.128,0.164,0.206,0.229,0.225,0.206,0.194,0.194,0.197,0.188,0.164,0.14,0.134,0.149,0.168,0.173,0.159,0.145,0.147,0.164,0.176,0.168,0.134,0.09,0.051,0.03,0.037,0.082,0.163,0.266,0.358,0.414,0.425,0.405,0.367,0.317,0.255,0.196,0.153,0.136,0.133,0.136,0.15,0.195,0.276,0.369,0.438,0.449,0.4,0.314,0.229,0.175,0.158,0.161,0.159,0.141,0.109,0.078,0.063,0.079,0.129,0.197,0.259,0.294,0.297,0.277,0.251,0.221,0.187,0.148,0.12,0.125,0.181,0.278,0.377,0.436,0.435,0.388,0.323,0.264,0.222,0.192,0.172,0.16,0.155,0.157,0.157,0.146,0.12,0.083,0.051,0.038,0.055,0.097,0.149,0.182,0.182,0.155,0.128,0.12,0.131,0.146,0.163,0.185,0.215,0.243,0.26,0.263,0.262,0.26,0.258,0.248,0.23,0.208,0.19,0.181,0.183,0.188,0.19,0.185,0.175,0.165,0.159,0.16,0.159,0.151,0.138,0.133,0.146,0.173,0.2,0.222,0.241,0.263,0.282,0.289,0.279,0.262,0.247,0.244,0.251,0.261,0.264,0.255,0.234,0.202,0.159,0.111,0.067,0.042,0.044,0.076,0.133,0.196,0.241,0.251,0.223,0.171,0.122,0.098,0.11,0.151,0.2,0.23,0.224,0.183,0.126,0.071,0.035,0.022,0.038,0.088,0.17,0.266,0.343,0.377,0.364,0.318,0.263,0.214,0.184,0.175,0.176,0.172,0.156,0.142,0.149,0.179,0.211,0.219,0.19,0.141,0.098,0.09,0.125,0.196,0.275,0.335,0.361,0.36,0.347,0.336,0.328,0.316,0.295,0.263,0.227,0.193,0.164,0.139,0.114,0.09,0.073,0.071,0.083,0.098,0.104,0.097,0.094,0.11,0.147,0.184,0.198,0.179,0.14,0.108,0.116,0.179,0.282,0.376,0.412,0.372,0.277,0.174,0.1,0.078,0.104,0.164,0.227,0.271,0.288,0.291,0.289,0.286,0.273,0.251,0.225,0.206,0.2,0.209,0.226,0.232,0.211,0.163,0.109,0.077,0.079,0.106,0.142,0.17,0.184,0.184,0.172,0.155,0.136,0.117,0.098,0.077,0.057,0.044,0.047,0.066,0.092,0.116,0.13,0.134,0.126,0.109,0.089,0.078,0.085,0.108,0.138,0.161,0.168,0.163,0.151,0.135,0.116,0.091,0.064,0.044,0.044,0.067,0.108,0.148,0.173,0.178,0.167,0.147,0.124,0.106,0.105,0.132,0.189,0.256,0.308,0.329,0.327,0.317,0.315,0.322,0.336,0.349,0.354,0.348,0.328,0.303,0.283,0.28,0.292,0.304,0.301,0.281,0.25,0.216,0.179,0.141,0.109,0.095,0.104,0.126,0.144,0.147,0.144,0.147,0.155,0.153,0.133,0.106,0.091,0.093,0.099,0.094,0.08,0.076,0.098,0.142,0.184,0.199,0.18,0.148,0.128,0.132,0.147,0.151,0.131,0.096,0.066,0.063,0.099,0.168,0.253,0.33,0.377,0.382,0.345,0.282,0.215,0.16,0.127,0.119,0.134,0.164,0.198,0.231,0.262,0.293,0.316,0.317,0.29,0.249,0.215,0.199,0.199,0.205,0.209,0.208,0.198,0.176,0.145,0.119,0.11,0.116,0.124,0.119,0.106,0.101,0.123,0.171,0.22,0.243,0.228,0.193,0.171,0.179,0.209,0.228,0.215,0.175,0.145,0.159,0.22,0.296,0.347,0.351,0.313,0.256,0.199,0.147,0.102,0.068,0.056,0.081,0.141,0.219,0.285,0.319,0.319,0.303,0.282,0.259,0.236,0.228,0.245,0.285,0.328,0.347,0.335,0.305,0.289,0.302,0.337,0.363,0.357,0.317,0.266,0.223,0.194,0.167,0.135,0.107,0.105,0.151,0.244,0.352,0.436,0.469,0.455,0.409,0.354,0.303,0.266,0.238,0.216,0.198,0.189,0.192,0.198,0.191,0.169,0.145,0.142,0.174,0.226,0.269,0.278,0.249,0.195,0.133,0.081,0.047,0.04,0.065,0.117,0.179,0.226,0.235,0.205,0.153,0.105,0.085,0.1,0.143,0.194,0.229,0.237,0.225,0.209,0.199,0.194,0.185,0.163,0.128,0.087,0.051,0.034,0.044,0.082,0.138,0.192,0.229,0.237,0.22,0.185,0.15,0.135,0.152,0.192,0.23,0.243,0.233,0.218,0.214,0.225,0.235,0.229,0.2,0.163,0.132,0.119,0.117,0.114,0.102,0.086,0.077,0.087,0.113,0.14,0.153,0.141,0.117,0.099,0.112,0.162,0.234,0.3,0.335,0.332,0.304,0.266,0.232,0.206,0.186,0.167,0.147,0.134,0.14,0.169,0.209,0.237,0.237,0.206,0.159,0.119,0.104,0.113,0.137,0.159,0.17,0.173,0.171,0.167,0.158,0.146,0.133,0.123,0.12,0.123,0.132,0.144,0.157,0.168,0.176,0.183,0.194,0.211,0.231,0.248,0.251,0.235,0.199,0.152,0.112,0.095,0.11,0.146,0.179,0.185,0.159,0.125,0.112,0.134,0.181,0.221,0.231,0.206,0.165,0.124,0.096,0.083,0.089,0.114,0.151,0.187,0.209,0.213,0.209,0.2,0.194,0.19,0.19,0.195,0.206,0.219,0.228,0.227,0.218,0.202,0.179,0.148,0.114,0.087,0.08,0.097,0.128,0.156,0.169,0.162,0.139,0.108,0.086,0.088,0.118,0.164,0.203,0.224,0.233,0.237,0.233,0.213,0.175,0.136,0.113,0.115,0.132,0.147,0.148,0.135,0.122,0.119,0.131,0.147,0.161,0.168,0.173,0.177,0.179,0.174,0.159,0.134,0.102,0.068,0.039,0.019,0.008,0.007,0.014,0.036,0.075,0.125,0.167,0.187,0.184,0.168,0.149,0.125,0.099,0.078,0.073,0.09,0.121,0.151,0.168,0.169,0.157,0.134,0.107,0.084,0.084,0.119,0.185,0.256,0.306,0.319,0.305,0.285,0.271,0.266,0.262,0.253,0.237,0.217,0.192,0.161,0.124,0.085,0.055,0.046,0.069,0.125,0.202,0.268,0.295,0.272,0.216,0.16,0.131,0.134,0.151,0.158,0.139,0.102,0.071,0.07,0.108,0.178,0.252,0.302,0.306,0.267,0.202,0.141,0.111,0.126,0.177,0.235,0.266,0.254,0.202,0.137,0.087,0.076,0.11,0.175,0.235,0.26,0.238,0.193,0.156,0.148,0.16,0.176,0.183,0.184,0.184,0.18,0.165,0.134,0.095,0.057,0.03,0.014,0.007,0.007,0.011,0.027,0.058,0.106,0.157,0.194,0.204,0.189,0.162,0.134,0.108,0.084,0.063,0.044,0.03,0.026,0.033,0.05,0.068,0.08,0.089,0.104,0.134,0.173,0.206,0.222,0.221,0.208,0.19,0.165,0.135,0.102,0.072,0.057,0.063,0.087,0.115,0.128,0.123,0.108,0.102,0.119,0.152,0.176,0.171,0.139,0.103,0.088,0.104,0.139,0.171,0.185,0.179,0.16,0.139,0.129,0.135,0.155,0.169,0.162,0.134,0.1,0.083,0.097,0.137,0.188,0.231,0.256,0.256,0.234,0.2,0.168,0.153,0.155,0.165,0.169,0.161,0.144,0.126,0.113,0.112,0.124,0.144,0.161,0.171,0.173,0.173,0.172,0.172,0.173,0.177,0.182,0.179,0.161,0.129,0.098,0.079,0.081,0.102,0.137,0.18,0.221,0.252,0.267,0.267,0.251,0.225,0.191,0.158,0.13,0.112,0.108,0.12,0.143,0.165,0.173,0.163,0.142,0.122,0.113,0.116,0.126,0.134,0.134,0.124,0.105,0.082,0.06,0.044,0.037,0.04,0.048,0.054,0.052,0.041,0.03,0.03,0.052,0.097,0.152,0.191,0.196,0.172,0.144,0.129,0.129,0.129,0.118,0.102,0.089,0.085,0.082,0.074,0.059,0.043,0.032,0.026,0.021,0.017,0.014]