[0.012,0.023,0.045,0.071,0.087,0.091,0.089,0.088,0.088,0.083,0.066,0.043,0.024,0.013,0.01,0.012,0.015,0.02,0.027,0.037,0.049,0.064,0.082,0.104,0.128,0.151,0.169,0.182,0.185,0.178,0.161,0.138,0.116,0.101,0.093,0.092,0.094,0.097,0.098,0.099,0.097,0.094,0.09,0.085,0.081,0.073,0.062,0.051,0.049,0.057,0.072,0.086,0.095,0.105,0.125,0.158,0.191,0.206,0.197,0.169,0.139,0.112,0.091,0.074,0.065,0.062,0.059,0.053,0.046,0.043,0.05,0.066,0.085,0.099,0.103,0.102,0.108,0.132,0.168,0.201,0.215,0.208,0.189,0.165,0.141,0.126,0.128,0.151,0.179,0.192,0.176,0.137,0.097,0.073,0.074,0.093,0.12,0.146,0.178,0.221,0.27,0.301,0.292,0.239,0.171,0.116,0.087,0.072,0.06,0.049,0.044,0.048,0.056,0.067,0.081,0.099,0.113,0.111,0.093,0.067,0.047,0.036,0.033,0.034,0.037,0.044,0.052,0.057,0.055,0.047,0.041,0.043,0.058,0.085,0.115,0.139,0.152,0.152,0.136,0.108,0.078,0.061,0.075,0.122,0.187,0.244,0.27,0.259,0.225,0.19,0.166,0.159,0.168,0.194,0.234,0.282,0.325,0.353,0.357,0.335,0.286,0.221,0.157,0.109,0.088,0.094,0.125,0.171,0.215,0.239,0.242,0.231,0.22,0.212,0.207,0.203,0.207,0.224,0.255,0.284,0.298,0.293,0.275,0.25,0.218,0.181,0.147,0.126,0.114,0.103,0.087,0.072,0.062,0.063,0.074,0.095,0.122,0.147,0.172,0.198,0.228,0.258,0.28,0.289,0.29,0.286,0.285,0.289,0.305,0.327,0.349,0.357,0.346,0.312,0.261,0.198,0.14,0.101,0.089,0.096,0.11,0.124,0.145,0.175,0.21,0.234,0.235,0.217,0.189,0.159,0.13,0.104,0.084,0.075,0.072,0.071,0.075,0.093,0.133,0.186,0.236,0.261,0.255,0.222,0.181,0.147,0.127,0.118,0.111,0.104,0.094,0.085,0.079,0.081,0.092,0.11,0.135,0.163,0.194,0.223,0.243,0.253,0.254,0.252,0.247,0.241,0.232,0.221,0.213,0.205,0.199,0.194,0.192,0.192,0.185,0.166,0.136,0.112,0.104,0.112,0.121,0.126,0.134,0.154,0.176,0.183,0.165,0.134,0.11,0.106,0.123,0.151,0.184,0.215,0.235,0.233,0.206,0.157,0.103,0.063,0.049,0.062,0.098,0.148,0.196,0.229,0.234,0.213,0.184,0.171,0.186,0.219,0.242,0.239,0.213,0.184,0.164,0.161,0.175,0.21,0.263,0.323,0.368,0.386,0.367,0.321,0.258,0.194,0.145,0.118,0.113,0.118,0.131,0.151,0.182,0.218,0.246,0.253,0.237,0.205,0.169,0.138,0.126,0.134,0.156,0.175,0.177,0.162,0.139,0.122,0.12,0.131,0.149,0.171,0.2,0.237,0.279,0.312,0.326,0.324,0.321,0.329,0.341,0.341,0.315,0.276,0.246,0.24,0.252,0.269,0.28,0.288,0.297,0.305,0.304,0.284,0.251,0.22,0.21,0.229,0.264,0.296,0.309,0.306,0.291,0.274,0.259,0.25,0.24,0.224,0.199,0.163,0.121,0.081,0.054,0.045,0.055,0.076,0.103,0.129,0.151,0.162,0.162,0.157,0.156,0.165,0.184,0.208,0.232,0.245,0.241,0.213,0.167,0.116,0.07,0.037,0.017,0.007,0.003,0.003,0.002,0.003,0.006,0.015,0.03,0.048,0.066,0.086,0.112,0.142,0.167,0.175,0.169,0.163,0.167,0.178,0.182,0.171,0.147,0.121,0.095,0.074,0.058,0.055,0.067,0.092,0.114,0.123,0.116,0.106,0.102,0.103,0.1,0.088,0.071,0.055,0.042,0.032,0.023,0.016,0.012,0.011,0.013,0.015,0.017,0.018,0.018,0.017,0.017,0.024,0.044,0.079,0.118,0.146,0.153,0.144,0.135,0.14,0.161,0.187,0.199,0.186,0.154,0.127,0.125,0.15,0.183,0.202,0.204,0.205,0.229,0.282,0.34,0.366,0.342,0.288,0.243,0.228,0.236,0.246,0.25,0.251,0.251,0.238,0.205,0.162,0.137,0.148,0.188,0.222,0.225,0.198,0.172,0.17,0.188,0.199,0.188,0.162,0.149,0.163,0.201,0.233,0.233,0.194,0.134,0.082,0.06,0.069,0.102,0.145,0.181,0.2,0.2,0.195,0.2,0.221,0.251,0.279,0.293,0.292,0.278,0.261,0.244,0.218,0.176,0.121,0.069,0.033,0.017,0.013,0.013,0.013,0.011,0.011,0.013,0.019,0.026,0.032,0.038,0.044,0.052,0.057,0.056,0.052,0.055,0.068,0.083,0.086,0.073,0.052,0.039,0.042,0.056,0.067,0.065,0.05,0.032,0.024,0.032,0.052,0.073,0.081,0.072,0.051,0.034,0.033,0.047,0.069,0.085,0.095,0.108,0.133,0.165,0.19,0.19,0.16,0.113,0.064,0.029,0.014,0.018,0.033,0.05,0.058,0.057,0.052,0.053,0.062,0.076,0.096,0.12,0.15,0.175,0.183,0.17,0.149,0.131,0.12,0.111,0.096,0.074,0.055,0.054,0.077,0.118,0.16,0.183,0.178,0.145,0.1,0.056,0.026,0.011,0.009,0.016,0.028,0.039,0.043,0.042,0.04,0.047,0.063,0.088,0.119,0.152,0.181,0.197,0.2,0.198,0.2,0.214,0.243,0.287,0.333,0.355,0.331,0.263,0.178,0.112,0.08,0.076,0.081,0.089,0.104,0.133,0.173,0.216,0.256,0.283,0.285,0.251,0.186,0.112,0.052,0.021,0.018,0.043,0.088,0.136,0.167,0.17,0.15,0.122,0.094,0.074,0.069,0.084,0.122,0.165,0.2,0.212,0.206,0.194,0.195,0.212,0.24,0.266,0.288,0.311,0.33,0.335,0.313,0.267,0.208,0.156,0.115,0.093,0.09,0.11,0.139,0.162,0.163,0.142,0.111,0.084,0.068,0.061,0.059,0.061,0.065,0.077,0.101,0.14,0.189,0.227,0.23,0.193,0.132,0.077,0.043,0.032,0.032,0.034,0.035,0.036,0.037,0.039,0.045,0.053,0.059,0.057,0.047,0.034,0.027,0.028,0.033,0.035,0.031,0.02,0.01,0.004,0.001,0.001,0.003,0.008,0.016,0.024,0.027,0.024,0.017,0.009,0.003,0.001,0.001,0.002,0.003,0.006,0.009,0.011,0.013,0.014,0.017,0.021,0.025,0.027,0.026,0.022,0.017,0.013,0.009,0.006,0.004,0.005,0.007,0.01,0.012,0.013,0.011,0.008,0.006,0.005,0.006,0.009,0.012,0.013,0.013,0.011,0.009,0.008,0.007,0.008,0.012,0.02,0.031,0.038,0.039,0.032,0.022,0.014,0.01,0.008,0.007,0.007,0.005,0.005,0.005,0.005,0.005,0.007,0.01,0.016,0.023,0.029,0.032,0.033,0.03,0.027,0.024,0.024,0.027,0.03,0.03,0.029,0.027,0.028,0.033,0.041,0.05,0.056,0.058,0.057,0.056,0.055,0.055,0.053,0.048,0.04,0.03,0.021,0.016,0.016,0.02,0.029,0.045,0.067,0.092,0.11,0.115,0.106,0.088,0.07,0.053,0.041,0.031,0.023,0.018,0.014,0.011,0.011,0.01,0.009,0.009,0.008,0.009,0.014,0.028,0.051,0.08,0.108,0.132,0.151,0.166,0.175,0.171,0.154,0.13,0.113,0.117,0.138,0.168,0.187,0.189,0.173,0.15,0.129,0.117,0.11,0.111,0.115,0.122,0.128,0.135,0.142,0.148,0.153,0.154,0.153,0.15,0.151,0.154,0.159,0.157,0.145,0.124,0.106,0.102,0.112,0.123,0.119,0.096,0.064,0.036,0.02,0.014,0.013,0.013,0.015,0.018,0.023,0.028,0.031,0.029,0.023,0.016,0.01,0.006,0.005,0.006,0.009,0.014,0.021,0.028,0.032,0.032,0.029,0.027,0.028,0.032,0.039,0.05,0.065,0.084,0.106,0.123,0.131,0.124,0.106,0.087,0.077,0.079,0.088,0.098,0.104,0.108,0.114,0.127,0.14,0.141,0.123,0.092,0.062,0.044,0.039,0.039,0.04,0.044,0.053,0.064,0.069,0.062,0.046,0.029,0.017,0.016,0.023,0.036,0.048,0.054,0.055,0.054,0.059,0.072,0.103,0.146,0.191,0.217,0.214,0.187,0.15,0.112,0.076,0.047,0.028,0.021,0.023,0.032,0.042,0.051,0.055,0.051,0.043,0.035,0.031,0.033,0.037,0.041,0.042,0.039,0.033,0.027,0.023,0.022,0.026,0.032,0.036,0.036,0.032,0.028,0.028,0.031,0.036,0.039,0.037,0.032,0.025,0.02,0.018,0.023,0.034,0.047,0.057,0.058,0.05,0.038,0.027,0.021,0.024,0.036,0.059,0.087,0.113,0.13,0.134,0.13,0.125,0.123,0.121,0.115,0.105,0.095,0.088,0.088,0.097,0.114,0.135,0.155,0.169,0.178,0.179,0.17,0.146,0.115,0.085,0.064,0.054,0.05,0.047,0.045,0.044,0.046,0.051,0.055,0.056,0.052,0.046,0.04,0.035,0.031,0.029,0.031,0.038,0.048,0.059,0.068,0.073,0.073,0.069,0.061,0.055,0.053,0.055,0.058,0.058,0.055,0.05,0.046,0.042,0.037,0.035,0.039,0.048,0.057,0.06,0.059,0.054,0.052,0.054,0.059,0.067,0.074,0.081,0.089,0.096,0.1,0.098,0.091,0.084,0.083,0.089,0.101,0.11,0.114,0.109,0.101,0.092,0.085,0.081,0.078,0.077,0.076,0.074,0.071,0.068,0.062,0.052,0.039,0.027,0.018,0.013,0.01,0.009,0.009,0.01,0.013,0.02,0.034,0.054,0.077,0.096,0.107,0.109,0.105,0.099,0.095,0.092,0.089,0.084,0.076,0.067,0.06,0.056,0.057,0.063,0.077,0.1,0.128,0.146,0.146,0.125,0.095,0.071,0.06,0.06,0.065,0.07,0.075,0.079,0.084,0.088,0.091,0.092,0.093,0.092,0.092,0.089,0.085,0.08,0.079,0.084,0.096,0.113,0.127,0.136,0.14,0.141,0.144,0.15,0.166,0.192,0.229,0.261,0.284,0.288,0.279,0.253,0.223,0.195,0.187,0.2,0.232,0.262,0.276,0.268,0.256,0.252,0.262,0.268,0.268,0.267,0.275,0.288,0.292,0.279,0.253,0.223,0.203,0.195,0.201,0.211,0.218,0.212,0.193,0.168,0.146,0.139,0.148,0.174,0.205,0.238,0.268,0.296,0.315,0.331,0.346,0.364,0.37,0.348,0.296,0.231,0.177,0.142,0.121,0.107,0.097,0.093,0.099,0.117,0.147,0.176,0.193,0.189,0.163,0.121,0.077,0.044,0.027,0.023,0.025,0.027,0.029,0.034,0.048,0.074,0.11,0.148,0.178,0.189,0.181,0.165,0.16,0.183,0.228,0.272,0.289,0.269,0.223,0.172,0.128,0.094,0.07,0.061,0.072,0.103,0.141,0.168,0.165,0.134,0.091,0.058,0.045,0.05,0.064,0.08,0.091,0.093,0.084,0.067,0.049,0.036,0.03,0.031,0.038,0.048,0.057,0.062,0.062,0.061,0.061,0.063,0.069,0.078,0.09,0.103,0.112,0.113,0.107,0.099,0.094,0.095,0.1,0.108,0.121,0.139,0.171,0.216,0.273,0.321,0.344,0.323,0.268,0.197,0.136,0.096,0.078,0.075,0.078,0.08,0.077,0.07,0.062,0.055,0.05,0.045,0.039,0.033,0.029,0.029,0.031,0.033,0.034,0.035,0.037,0.041,0.046,0.052,0.058,0.063,0.07,0.076,0.082,0.086,0.087,0.086,0.077,0.063,0.046,0.034,0.031,0.035,0.041,0.044,0.044,0.044,0.046,0.051,0.059,0.065,0.069,0.073,0.08,0.09,0.098,0.102,0.098,0.094,0.091,0.087,0.078,0.064,0.046,0.033,0.028,0.027,0.029,0.03,0.032,0.033,0.035,0.036,0.036,0.034,0.031,0.027,0.027,0.03,0.035,0.036,0.033,0.026,0.021,0.019,0.02,0.025,0.03,0.037,0.044,0.052,0.061,0.07,0.078,0.081,0.08,0.074,0.068,0.065,0.068,0.075,0.083,0.088,0.095,0.104,0.116,0.122,0.115,0.096,0.075,0.064,0.07,0.09,0.116,0.139,0.152,0.152,0.142,0.129,0.117,0.111,0.112,0.114,0.113,0.114,0.12,0.137,0.153,0.16,0.15,0.13,0.105,0.083,0.065,0.052,0.044,0.041,0.04,0.038,0.034,0.029,0.022,0.018,0.016,0.017,0.021,0.026,0.032,0.035,0.034,0.03,0.027,0.026,0.027,0.028,0.029,0.027,0.024,0.02,0.017,0.015,0.016,0.023,0.036,0.052,0.066,0.07,0.064,0.051,0.039,0.033,0.034,0.04,0.05,0.061,0.068,0.067,0.058,0.049,0.044,0.049,0.064,0.087,0.112,0.135,0.151,0.159,0.159,0.155,0.151,0.147,0.138,0.119,0.091,0.063,0.039,0.025,0.018,0.016,0.019,0.029,0.047,0.067,0.085,0.096,0.101,0.104,0.108,0.114,0.124,0.138,0.153,0.164,0.171,0.174,0.171,0.165,0.155,0.145,0.136,0.126,0.115,0.1,0.087,0.079,0.081,0.089,0.099,0.108,0.12,0.136,0.155,0.169,0.172,0.165,0.152,0.141,0.135,0.133,0.136,0.14,0.143,0.141,0.137,0.133,0.133,0.132,0.128,0.118,0.102,0.083,0.064,0.046,0.032,0.024,0.022,0.028,0.04,0.053,0.063,0.066,0.063,0.054,0.042,0.032,0.027,0.029,0.033,0.037,0.039,0.039,0.038,0.04,0.048,0.069,0.103,0.139,0.159,0.151,0.12,0.083,0.056,0.045,0.043,0.045,0.045,0.042,0.036,0.03,0.027,0.031,0.04,0.051,0.059,0.062,0.061,0.059,0.055,0.052,0.049,0.048,0.049,0.053,0.059,0.066,0.075,0.092,0.114,0.137,0.148,0.142,0.123,0.1,0.082,0.071,0.065,0.062,0.062,0.068,0.08,0.097,0.114,0.125,0.127,0.12,0.108,0.099,0.098,0.106,0.123,0.147,0.17,0.186,0.184,0.169,0.148,0.138,0.138,0.144,0.14,0.125,0.106,0.096,0.101,0.121,0.147,0.17,0.184,0.187,0.184,0.184,0.197,0.221,0.25,0.261,0.247,0.205,0.155,0.108,0.078,0.063,0.064,0.075,0.085,0.085,0.073,0.055,0.041,0.036,0.041,0.055,0.072,0.083,0.083,0.074,0.066,0.069,0.085,0.105,0.121,0.126,0.123,0.117,0.118,0.127,0.142,0.153,0.158,0.155,0.152,0.154,0.161,0.171,0.179,0.186,0.193,0.2,0.208,0.217,0.222,0.216,0.188,0.141,0.09,0.054,0.041,0.048,0.066,0.086,0.104,0.117,0.129,0.142,0.154,0.161,0.164,0.166,0.172,0.18,0.182,0.171,0.155,0.146,0.159,0.191,0.228,0.258,0.274,0.287,0.294,0.296,0.282,0.253,0.215,0.179,0.152,0.132,0.121,0.122,0.14,0.171,0.201,0.225,0.247,0.278,0.316,0.34,0.337,0.299,0.248,0.207,0.198,0.217,0.244,0.251,0.23,0.187,0.15,0.133,0.143,0.163,0.176,0.172,0.156,0.138,0.13,0.138,0.162,0.189,0.204,0.198,0.176,0.152,0.134,0.125,0.126,0.133,0.145,0.157,0.166,0.172,0.177,0.185,0.193,0.2,0.198,0.184,0.162,0.139,0.119,0.103,0.089,0.076,0.069,0.068,0.073,0.084,0.105,0.138,0.179,0.221,0.262,0.302,0.337,0.353,0.339,0.29,0.223,0.164,0.125,0.107,0.099,0.102,0.123,0.162,0.202,0.214,0.189,0.137,0.09,0.061,0.053,0.056,0.064,0.073,0.081,0.085,0.084,0.08,0.074,0.072,0.075,0.083,0.096,0.11,0.126,0.141,0.151,0.153,0.142,0.12,0.099,0.093,0.112,0.15,0.192,0.223,0.242,0.253,0.263,0.263,0.249,0.219,0.187,0.166,0.163,0.169,0.173,0.177,0.193,0.223,0.25,0.25,0.219,0.174,0.143,0.142,0.161,0.175,0.167,0.143,0.121,0.121,0.143,0.175,0.195,0.194,0.175,0.156,0.151,0.163,0.182,0.195,0.195,0.182,0.16,0.142,0.138,0.157,0.19,0.223,0.25,0.276,0.3,0.31,0.295,0.258,0.219,0.19,0.17,0.149,0.124,0.102,0.089,0.089,0.105,0.142,0.202,0.277,0.34,0.366,0.342,0.282,0.211,0.151,0.114,0.099,0.102,0.121,0.151,0.19,0.226,0.255,0.271,0.282,0.291,0.301,0.304,0.293,0.273,0.255,0.252,0.263,0.274,0.274,0.26,0.248,0.252,0.276,0.306,0.325,0.323,0.306,0.289,0.286,0.308,0.356,0.426,0.496,0.546,0.554,0.522,0.463,0.408,0.372,0.372,0.394,0.417,0.415,0.386,0.348,0.333,0.352,0.393,0.427,0.429,0.398,0.355,0.324,0.32,0.341,0.384,0.438,0.49,0.518,0.508,0.464,0.403,0.346,0.305,0.28,0.27,0.268,0.273,0.284,0.303,0.325,0.344,0.363,0.387,0.422,0.447,0.437,0.387,0.323,0.279,0.27,0.295,0.338,0.397,0.456,0.5,0.513,0.497,0.461,0.42,0.384,0.363,0.365,0.385,0.408,0.419,0.409,0.385,0.35,0.311,0.265,0.215,0.167,0.129,0.105,0.091,0.083,0.081,0.089,0.115,0.156,0.202,0.235,0.252,0.249,0.239,0.226,0.219,0.215,0.216,0.212,0.209,0.208,0.223,0.254,0.294,0.327,0.341,0.328,0.296,0.259,0.231,0.227,0.246,0.28,0.313,0.333,0.336,0.323,0.299,0.269,0.242,0.22,0.202,0.188,0.183,0.191,0.22,0.256,0.284,0.28,0.247,0.198,0.161,0.148,0.155,0.166,0.167,0.157,0.14,0.124,0.116,0.121,0.144,0.184,0.229,0.266,0.284,0.278,0.253,0.224,0.208,0.212,0.226,0.24,0.251,0.262,0.278,0.291,0.291,0.27,0.231,0.186,0.145,0.115,0.093,0.079,0.071,0.069,0.073,0.078,0.08,0.077,0.075,0.08,0.093,0.112,0.132,0.15,0.159,0.157,0.141,0.115,0.088,0.073,0.08,0.111,0.154,0.184,0.186,0.156,0.112,0.071,0.044,0.032,0.031,0.043,0.068,0.107,0.155,0.199,0.226,0.234,0.229,0.227,0.233,0.252,0.286,0.333,0.382,0.423,0.45,0.459,0.444,0.401,0.341,0.278,0.229,0.192,0.167,0.149,0.141,0.138,0.137,0.136,0.139,0.151,0.171,0.195,0.218,0.24,0.258,0.273,0.278,0.271,0.255,0.244,0.247,0.258,0.267,0.267,0.268,0.281,0.312,0.357,0.402,0.432,0.434,0.407,0.361,0.321,0.307,0.322,0.354,0.388,0.423,0.465,0.518,0.57,0.603,0.603,0.571,0.512,0.441,0.375,0.333,0.318,0.313,0.296,0.262,0.23,0.221,0.241,0.283,0.327,0.36,0.368,0.361,0.345,0.337,0.33,0.327,0.323,0.321,0.32,0.316,0.31,0.308,0.309,0.305,0.289,0.27,0.26,0.27,0.292,0.314,0.323,0.321,0.305,0.282,0.25,0.221,0.203,0.2,0.202,0.191,0.16,0.112,0.066,0.034,0.023,0.033,0.06,0.095,0.122,0.129,0.116,0.095,0.077,0.067,0.063,0.064,0.075,0.099,0.131,0.155,0.156,0.135,0.104,0.081,0.078,0.097,0.136,0.18,0.214,0.222,0.202,0.164,0.127,0.102,0.091,0.087,0.088,0.096,0.111,0.128,0.142,0.151,0.153,0.146,0.127,0.1,0.076,0.06,0.052,0.05,0.053,0.062,0.076,0.087,0.087,0.075,0.058,0.043,0.033,0.026,0.02,0.016,0.013,0.011,0.013,0.019,0.029,0.04,0.047,0.049,0.046,0.042,0.038,0.036,0.037,0.04,0.043,0.045,0.05,0.059,0.067,0.068,0.059,0.047,0.039,0.038,0.047,0.061,0.072,0.073,0.061,0.043,0.029,0.026,0.036,0.059,0.1,0.158,0.22,0.263,0.27,0.249,0.221,0.207,0.213,0.231,0.248,0.248,0.221,0.167,0.105,0.064,0.068,0.124,0.218,0.311,0.368,0.373,0.34,0.298,0.264,0.237,0.208,0.171,0.131,0.094,0.065,0.046,0.037,0.033,0.033,0.036,0.042,0.051,0.061,0.068,0.067,0.064,0.066,0.083,0.113,0.143,0.152,0.134,0.094,0.052,0.021,0.007,0.004,0.005,0.008,0.011,0.015,0.024,0.035,0.049,0.061,0.068,0.068,0.063,0.054,0.044,0.036,0.032,0.032,0.035,0.039,0.047,0.06,0.074,0.087,0.097,0.11,0.129,0.151,0.169,0.18,0.195,0.226,0.27,0.308,0.323,0.314,0.299,0.296,0.308,0.316,0.304,0.27,0.238,0.233,0.265,0.308,0.332,0.316,0.275,0.233,0.209,0.199,0.19,0.171,0.143,0.109,0.081,0.067,0.07,0.089,0.11,0.121,0.114,0.098,0.087]