[0.113,0.112,0.106,0.093,0.072,0.052,0.036,0.025,0.019,0.014,0.01,0.008,0.006,0.005,0.005,0.004,0.004,0.004,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.005,0.008,0.013,0.018,0.022,0.023,0.02,0.015,0.01,0.006,0.004,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0,0,0,0,0.001,0.001,0.003,0.007,0.012,0.018,0.022,0.022,0.019,0.014,0.009,0.005,0.003,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0,0,0,0,0,0.001,0.001,0.003,0.007,0.013,0.019,0.023,0.023,0.019,0.014,0.009,0.006,0.003,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0,0,0,0,0.001,0.005,0.013,0.026,0.041,0.053,0.055,0.049,0.037,0.026,0.018,0.013,0.01,0.007,0.005,0.004,0.003,0.003,0.003,0.002,0.002,0.002,0.002,0.002,0.002,0.001,0.001,0.001,0.002,0.002,0.004,0.008,0.013,0.019,0.022,0.022,0.018,0.013,0.008,0.005,0.003,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0,0,0,0,0,0.001,0.002,0.004,0.009,0.014,0.02,0.023,0.022,0.018,0.012,0.008,0.005,0.003,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0,0,0,0,0,0,0.001,0.002,0.004,0.008,0.013,0.019,0.022,0.021,0.017,0.012,0.007,0.005,0.003,0.002,0.001,0.001,0.001,0,0.001,0.001,0.001,0.001,0,0,0.002,0.009,0.035,0.093,0.19,0.313,0.432,0.515,0.551,0.549,0.527,0.502,0.479,0.458,0.436,0.409,0.378,0.342,0.306,0.27,0.236,0.204,0.174,0.148,0.127,0.111,0.099,0.091,0.085,0.081,0.078,0.076,0.077,0.079,0.083,0.089,0.093,0.098,0.102,0.106,0.109,0.11,0.107,0.101,0.092,0.082,0.073,0.066,0.061,0.057,0.055,0.054,0.053,0.052,0.051,0.052,0.058,0.07,0.087,0.103,0.113,0.113,0.105,0.094,0.083,0.074,0.066,0.059,0.054,0.049,0.046,0.044,0.043,0.042,0.04,0.039,0.038,0.036,0.035,0.034,0.033,0.032,0.031,0.031,0.033,0.042,0.067,0.114,0.18,0.252,0.313,0.348,0.359,0.351,0.335,0.317,0.3,0.287,0.276,0.268,0.26,0.252,0.242,0.231,0.22,0.208,0.197,0.186,0.176,0.172,0.184,0.229,0.313,0.427,0.542,0.628,0.665,0.659,0.624,0.578,0.537,0.506,0.485,0.472,0.458,0.437,0.408,0.37,0.329,0.288,0.251,0.217,0.189,0.165,0.146,0.13,0.116,0.104,0.092,0.082,0.074,0.068,0.064,0.06,0.057,0.052,0.047,0.043,0.04,0.038,0.036,0.035,0.034,0.033,0.032,0.032,0.031,0.03,0.03,0.029,0.029,0.028,0.029,0.033,0.043,0.064,0.09,0.113,0.126,0.124,0.114,0.101,0.088,0.077,0.068,0.059,0.052,0.046,0.042,0.04,0.038,0.037,0.035,0.035,0.034,0.033,0.032,0.03,0.029,0.028,0.027,0.026,0.029,0.038,0.062,0.105,0.162,0.224,0.274,0.303,0.313,0.309,0.3,0.29,0.281,0.274,0.27,0.267,0.264,0.261,0.257,0.25,0.242,0.232,0.221,0.209,0.197,0.193,0.204,0.242,0.304,0.377,0.439,0.479,0.496,0.5,0.496,0.489,0.477,0.458,0.429,0.389,0.345,0.301,0.262,0.228,0.199,0.174,0.154,0.137,0.122,0.11,0.099,0.091,0.086,0.082,0.08,0.078,0.076,0.075,0.074,0.072,0.069,0.065,0.061,0.059,0.057,0.055,0.055,0.054,0.054,0.053,0.053,0.052,0.051,0.05,0.049,0.048,0.047,0.047,0.048,0.052,0.063,0.081,0.1,0.115,0.119,0.113,0.102,0.09,0.08,0.071,0.064,0.058,0.053,0.049,0.046,0.044,0.042,0.041,0.04,0.039,0.037,0.036,0.035,0.033,0.032,0.032,0.031,0.031,0.033,0.043,0.065,0.1,0.144,0.185,0.216,0.231,0.234,0.231,0.225,0.219,0.213,0.208,0.202,0.198,0.193,0.189,0.184,0.177,0.17,0.162,0.154,0.146,0.14,0.144,0.173,0.24,0.343,0.458,0.551,0.597,0.598,0.578,0.558,0.549,0.544,0.536,0.519,0.495,0.467,0.436,0.4,0.358,0.313,0.268,0.228,0.193,0.165,0.142,0.124,0.109,0.1,0.095,0.094,0.096,0.098,0.098,0.095,0.091,0.087,0.084,0.081,0.079,0.077,0.076,0.074,0.073,0.071,0.068,0.066,0.063,0.06,0.058,0.056,0.055,0.054,0.053,0.058,0.08,0.141,0.253,0.411,0.579,0.711,0.779,0.786,0.756,0.714,0.678,0.652,0.633,0.614,0.588,0.551,0.504,0.45,0.395,0.341,0.292,0.25,0.216,0.188,0.167,0.149,0.136,0.126,0.122,0.122,0.124,0.123,0.118,0.107,0.095,0.083,0.073,0.066,0.06,0.057,0.054,0.051,0.049,0.046,0.044,0.042,0.04,0.039,0.037,0.036,0.035,0.034,0.034,0.041,0.063,0.111,0.189,0.284,0.374,0.439,0.474,0.485,0.483,0.475,0.462,0.444,0.42,0.39,0.355,0.317,0.282,0.251,0.224,0.201,0.179,0.16,0.145,0.133,0.124,0.117,0.111,0.106,0.102,0.098,0.096,0.095,0.097,0.1,0.105,0.11,0.115,0.118,0.118,0.115,0.108,0.101,0.094,0.088,0.083,0.078,0.072,0.068,0.065,0.063,0.062,0.061,0.061,0.062,0.067,0.078,0.092,0.105,0.111,0.11,0.102,0.092,0.082,0.075,0.069,0.065,0.063,0.062,0.061,0.06,0.058,0.056,0.054,0.051,0.048,0.046,0.044,0.042,0.04,0.038,0.037,0.037,0.039,0.048,0.07,0.109,0.162,0.219,0.265,0.293,0.301,0.298,0.289,0.281,0.273,0.266,0.258,0.251,0.244,0.238,0.232,0.226,0.218,0.21,0.2,0.19,0.179,0.171,0.167,0.176,0.204,0.252,0.316,0.378,0.423,0.443,0.44,0.423,0.401,0.38,0.362,0.344,0.323,0.302,0.279,0.256,0.233,0.209,0.186,0.165,0.147,0.133,0.12,0.109,0.099,0.09,0.083,0.077,0.072,0.068,0.066,0.063,0.06,0.056,0.052,0.049,0.047,0.046,0.044,0.043,0.041,0.04,0.039,0.038,0.036,0.035,0.033,0.031,0.03,0.028,0.028,0.033,0.046,0.069,0.097,0.12,0.132,0.13,0.119,0.105,0.093,0.082,0.072,0.063,0.055,0.05,0.046,0.043,0.04,0.038,0.036,0.034,0.032,0.031,0.03,0.029,0.028,0.027,0.026,0.026,0.028,0.04,0.069,0.117,0.18,0.241,0.288,0.311,0.316,0.309,0.3,0.291,0.283,0.277,0.273,0.269,0.266,0.262,0.257,0.25,0.241,0.23,0.218,0.206,0.195,0.194,0.214,0.264,0.338,0.414,0.469,0.492,0.49,0.478,0.467,0.457,0.443,0.421,0.39,0.352,0.312,0.274,0.239,0.206,0.175,0.147,0.123,0.103,0.087,0.074,0.064,0.055,0.051,0.05,0.053,0.057,0.059,0.06,0.058,0.056,0.053,0.05,0.047,0.045,0.044,0.043,0.042,0.04,0.039,0.037,0.036,0.035,0.034,0.033,0.032,0.032,0.032,0.031,0.032,0.034,0.04,0.049,0.06,0.069,0.075,0.076,0.072,0.066,0.058,0.05,0.044,0.039,0.035,0.032,0.03,0.028,0.027,0.026,0.026,0.025,0.024,0.024,0.023,0.022,0.021,0.021,0.023,0.027,0.034,0.041,0.048,0.051,0.051,0.049,0.044,0.039,0.035,0.032,0.03,0.028,0.027,0.026,0.025,0.025,0.024,0.023,0.023,0.022,0.021,0.021,0.02,0.02,0.024,0.041,0.083,0.159,0.263,0.376,0.472,0.537,0.571,0.582,0.583,0.577,0.562,0.537,0.501,0.456,0.403,0.348,0.296,0.25,0.213,0.185,0.162,0.145,0.131,0.12,0.112,0.105,0.098,0.093,0.087,0.083,0.079,0.077,0.075,0.073,0.07,0.067,0.063,0.061,0.06,0.059,0.058,0.057,0.056,0.054,0.053,0.052,0.051,0.05,0.049,0.049,0.049,0.049,0.049,0.051,0.059,0.084,0.133,0.205,0.286,0.352,0.388,0.393,0.38,0.361,0.344,0.331,0.32,0.309,0.295,0.28,0.264,0.247,0.23,0.212,0.195,0.178,0.163,0.148,0.136,0.13,0.144,0.195,0.292,0.421,0.546,0.629,0.651,0.623,0.568,0.513,0.47,0.443,0.427,0.414,0.399,0.378,0.352,0.322,0.289,0.255,0.222,0.192,0.167,0.147,0.131,0.12,0.117,0.134,0.18,0.256,0.347,0.427,0.481,0.505,0.51,0.507,0.5,0.487,0.464,0.431,0.39,0.346,0.303,0.265,0.234,0.209,0.187,0.167,0.149,0.134,0.123,0.115,0.109,0.105,0.102,0.099,0.097,0.097,0.099,0.102,0.106,0.111,0.116,0.12,0.124,0.124,0.121,0.115,0.109,0.103,0.098,0.094,0.089,0.083,0.077,0.073,0.071,0.07,0.071,0.072,0.077,0.086,0.102,0.121,0.135,0.14,0.135,0.124,0.112,0.102,0.093,0.086,0.08,0.074,0.07,0.068,0.067,0.067,0.066,0.065,0.063,0.061,0.06,0.059,0.059,0.058,0.056,0.054,0.054,0.057,0.07,0.098,0.143,0.201,0.257,0.298,0.318,0.318,0.307,0.291,0.275,0.262,0.251,0.242,0.234,0.227,0.218,0.21,0.201,0.192,0.183,0.174,0.163,0.155,0.156,0.18,0.239,0.334,0.444,0.54,0.598,0.612,0.595,0.565,0.536,0.515,0.5,0.488,0.472,0.449,0.419,0.38,0.336,0.291,0.248,0.211,0.181,0.158,0.141,0.127,0.115,0.104,0.093,0.084,0.077,0.072,0.068,0.065,0.062,0.059,0.055,0.051,0.047,0.045,0.043,0.041,0.04,0.039,0.038,0.037,0.036,0.036,0.035,0.035,0.035,0.035,0.035,0.036,0.043,0.058,0.081,0.107,0.125,0.131,0.125,0.112,0.098,0.085,0.075,0.067,0.059,0.053,0.048,0.045,0.043,0.042,0.04,0.039,0.038,0.036,0.035,0.034,0.033,0.032,0.031,0.03,0.031,0.038,0.06,0.105,0.176,0.259,0.332,0.379,0.396,0.391,0.376,0.358,0.341,0.326,0.313,0.301,0.291,0.281,0.271,0.26,0.248,0.236,0.224,0.21,0.197,0.188,0.192,0.224,0.287,0.373,0.454,0.507,0.524,0.515,0.499,0.486,0.476,0.461,0.436,0.4,0.359,0.316,0.277,0.244,0.215,0.189,0.165,0.143,0.125,0.111,0.099,0.09,0.083,0.078,0.074,0.072,0.07,0.069,0.068,0.067,0.065,0.063,0.061,0.058,0.056,0.055,0.054,0.053,0.052,0.051,0.051,0.05,0.049,0.047,0.046,0.044,0.043,0.041,0.04,0.042,0.05,0.067,0.092,0.115,0.13,0.131,0.121,0.108,0.095,0.085,0.076,0.067,0.06,0.054,0.049,0.046,0.044,0.042,0.04,0.038,0.036,0.035,0.034,0.033,0.032,0.031,0.031,0.031,0.035,0.049,0.078,0.121,0.169,0.209,0.232,0.238,0.233,0.224,0.216,0.209,0.202,0.194,0.184,0.172,0.158,0.143,0.128,0.114,0.102,0.09,0.081,0.072,0.067,0.07,0.098,0.167,0.283,0.427,0.564,0.659,0.704,0.708,0.694,0.677,0.664,0.653,0.639,0.616,0.583,0.54,0.488,0.431,0.376,0.324,0.278,0.239,0.205,0.177,0.152,0.133,0.119,0.111,0.108,0.109,0.111,0.112,0.11,0.106,0.101,0.095,0.09,0.086,0.082,0.079,0.076,0.074,0.072,0.07,0.068,0.066,0.063,0.061,0.058,0.056,0.054,0.052,0.053,0.064,0.101,0.182,0.311,0.472,0.625,0.736,0.787,0.789,0.765,0.738,0.719,0.707,0.696,0.676,0.642,0.597,0.541,0.48,0.418,0.359,0.307,0.262,0.228,0.202,0.182,0.165,0.151,0.139,0.132,0.129,0.128,0.126,0.121,0.114,0.107,0.102,0.098,0.096,0.093,0.089,0.085,0.082,0.08,0.08,0.078,0.076,0.072,0.068,0.065,0.063,0.062,0.06,0.06,0.068,0.098,0.158,0.248,0.347,0.43,0.48,0.499,0.498,0.488,0.477,0.464,0.445,0.417,0.381,0.34,0.3,0.264,0.232,0.204,0.179,0.158,0.14,0.125,0.114,0.105,0.1,0.096,0.094,0.093,0.093,0.093,0.095,0.098,0.101,0.104,0.106,0.108,0.107,0.105,0.102,0.098,0.095,0.091,0.087,0.083,0.078,0.075,0.072,0.07,0.069,0.067,0.066,0.067,0.072,0.084,0.105,0.127,0.144,0.148,0.14,0.126,0.112,0.1,0.09,0.081,0.074,0.068,0.063,0.059,0.056,0.054,0.052,0.05,0.048,0.047,0.045,0.044,0.042,0.041,0.041,0.046,0.068,0.116,0.196,0.297,0.394,0.465,0.499,0.502,0.484,0.459,0.433,0.411,0.394,0.382,0.374,0.369,0.366,0.36,0.352,0.34,0.326,0.308,0.288,0.267,0.244,0.225,0.219,0.245,0.315,0.427,0.555,0.665,0.73,0.748,0.731,0.697,0.66,0.63,0.609,0.594,0.576,0.549,0.51,0.462,0.408,0.353,0.303,0.26,0.226,0.198,0.176,0.157,0.141,0.125,0.111,0.097,0.086,0.077,0.071,0.067,0.063,0.058,0.053,0.047,0.042,0.038,0.035,0.033,0.031,0.03,0.029,0.028,0.027,0.027,0.026,0.025,0.025,0.024,0.024,0.026,0.035,0.054,0.081,0.109,0.128,0.132,0.125,0.11,0.096,0.083,0.073,0.064,0.057,0.052,0.048,0.044,0.042,0.04,0.038,0.036,0.035,0.033,0.032,0.031,0.029,0.028,0.027,0.026,0.027,0.035,0.056,0.096,0.154,0.217,0.27,0.302,0.311,0.305,0.291,0.276,0.262,0.251,0.242,0.235,0.228,0.221,0.213,0.204,0.194,0.184,0.174,0.164,0.155,0.15,0.161,0.199,0.267,0.351,0.428,0.477,0.493,0.486,0.47,0.453,0.439,0.423,0.402,0.374,0.338,0.298,0.259,0.222,0.19,0.162,0.137,0.115,0.096,0.081,0.069,0.06,0.054,0.052,0.053,0.056,0.059,0.062,0.062,0.061,0.057,0.053,0.048,0.044,0.041,0.038,0.036,0.035,0.034,0.033,0.032,0.031,0.03,0.029,0.028,0.027,0.026,0.026,0.026,0.027,0.032,0.04,0.052,0.063,0.071,0.074,0.071,0.065,0.057,0.049,0.042,0.037,0.033,0.03,0.027,0.025,0.024,0.022,0.021,0.02,0.019,0.018,0.018,0.017,0.016,0.017,0.018,0.022,0.029,0.037,0.044,0.048,0.049,0.047,0.043,0.04,0.036,0.033,0.031,0.03,0.03,0.029,0.028,0.028,0.028,0.027,0.026,0.026,0.025,0.024,0.024,0.023,0.024,0.032,0.06,0.121,0.217,0.338,0.455,0.544,0.593,0.606,0.598,0.583,0.567,0.554,0.541,0.523,0.497,0.463,0.421,0.374,0.327,0.282,0.244,0.212,0.188,0.168,0.153,0.139,0.127,0.119,0.125,0.152,0.206,0.28,0.355,0.41,0.434,0.433,0.422,0.412,0.405,0.397,0.384,0.363,0.337,0.31,0.287,0.27,0.256,0.24,0.22,0.197,0.175,0.155,0.142,0.142,0.173,0.251,0.381,0.539,0.685,0.782,0.814,0.793,0.745,0.694,0.653,0.627,0.609,0.591,0.565,0.526,0.475,0.418,0.36,0.308,0.263,0.227,0.199,0.175,0.156,0.144,0.148,0.191,0.288,0.44,0.608,0.742,0.807,0.806,0.769,0.729,0.698,0.672,0.642,0.601,0.55,0.49,0.424,0.358,0.299,0.25,0.209,0.176,0.148,0.126,0.106,0.09,0.076,0.067,0.064,0.072,0.088,0.108,0.125,0.135,0.138,0.138,0.137,0.137,0.138,0.139,0.139,0.138,0.138,0.137,0.134,0.126,0.114,0.1,0.087,0.075,0.065,0.056,0.048,0.043,0.04,0.038,0.038,0.039,0.04,0.041,0.042,0.043,0.041,0.038,0.034,0.031,0.029,0.027,0.026,0.024,0.023,0.022,0.021,0.02,0.019,0.017,0.016,0.015,0.015,0.014,0.014,0.013,0.013,0.014,0.015,0.017,0.02,0.024,0.025,0.023,0.019,0.014,0.011,0.009,0.008,0.008,0.008,0.008,0.008,0.007,0.007,0.006,0.006,0.006,0.005,0.005,0.005,0.004,0.004,0.004,0.005,0.007,0.011,0.015,0.02,0.021,0.02,0.016,0.011,0.008,0.006,0.004,0.004,0.003,0.003,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.004,0.009,0.018,0.03,0.042,0.047,0.045,0.036,0.026,0.018,0.013,0.009,0.007,0.005,0.004,0.003,0.003,0.003,0.003,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.003,0.005,0.009,0.014,0.018,0.02,0.018,0.013,0.009,0.006,0.003,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0,0,0,0.001,0.001,0.003,0.005,0.01,0.015,0.019,0.02,0.018,0.013,0.008,0.005,0.003,0.002,0.001,0.001,0.001,0.001,0,0.001,0.001,0,0,0,0,0,0,0,0.001,0.003,0.006,0.01,0.016,0.02,0.02,0.018,0.013,0.009,0.005,0.003,0.002,0.001,0.001,0.001,0,0,0.001,0.001,0,0,0,0,0.001,0.003,0.009,0.02,0.036,0.053,0.067,0.076,0.08,0.081,0.082,0.082,0.082,0.083,0.083,0.083,0.082,0.081,0.081,0.08,0.08,0.078,0.075,0.071,0.068,0.066,0.064,0.062,0.061,0.06,0.06,0.059,0.059,0.059,0.058,0.056,0.055,0.053,0.052,0.051,0.05,0.049,0.049,0.049,0.048,0.047,0.046,0.045,0.044,0.043,0.043,0.043,0.042,0.04,0.039,0.037,0.037,0.036,0.036,0.037,0.037,0.038,0.039,0.039,0.039,0.038,0.036,0.035,0.033,0.032,0.031,0.031,0.03,0.03,0.029,0.028,0.027,0.026,0.025,0.025,0.024,0.024,0.023,0.023,0.022,0.022,0.021,0.021,0.021,0.021,0.02,0.02,0.019,0.018,0.018,0.017,0.017,0.017,0.016,0.016,0.017,0.017,0.017,0.017,0.016,0.016,0.016,0.016,0.016,0.015,0.015,0.014,0.014,0.014,0.013,0.013,0.013,0.013,0.012,0.012,0.012,0.012,0.011,0.011,0.011,0.011,0.01,0.01,0.01,0.009,0.009,0.009,0.009,0.008,0.008,0.008,0.008,0.008,0.008,0.008,0.008,0.008,0.008,0.008,0.007,0.007,0.007,0.007,0.006,0.006,0.006,0.006,0.006,0.006,0.006,0.006,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.004,0.004,0.004,0.004,0.005,0.005,0.005,0.004,0.004,0.004,0.004,0.004,0.004,0.004,0.004,0.004,0.004,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]