[0.139,0.186,0.281,0.378,0.44,0.451,0.42,0.368,0.314,0.269,0.235,0.209,0.186,0.162,0.14,0.122,0.11,0.103,0.102,0.109,0.126,0.147,0.165,0.17,0.158,0.137,0.112,0.091,0.075,0.064,0.057,0.051,0.046,0.041,0.037,0.034,0.033,0.037,0.057,0.108,0.199,0.319,0.435,0.505,0.51,0.46,0.386,0.316,0.263,0.227,0.202,0.183,0.166,0.151,0.138,0.127,0.12,0.116,0.12,0.133,0.151,0.165,0.166,0.153,0.133,0.112,0.096,0.085,0.076,0.068,0.059,0.052,0.046,0.041,0.038,0.036,0.04,0.062,0.117,0.21,0.325,0.426,0.484,0.488,0.451,0.394,0.335,0.283,0.242,0.21,0.186,0.166,0.151,0.139,0.13,0.121,0.114,0.111,0.118,0.135,0.153,0.163,0.157,0.138,0.113,0.09,0.073,0.062,0.053,0.046,0.04,0.034,0.029,0.025,0.023,0.026,0.043,0.091,0.174,0.285,0.391,0.459,0.471,0.433,0.37,0.303,0.246,0.205,0.18,0.165,0.158,0.153,0.147,0.14,0.131,0.123,0.118,0.121,0.132,0.144,0.149,0.143,0.129,0.11,0.093,0.079,0.068,0.06,0.053,0.047,0.042,0.036,0.032,0.029,0.03,0.045,0.09,0.175,0.294,0.416,0.499,0.516,0.475,0.402,0.329,0.273,0.235,0.21,0.191,0.174,0.157,0.143,0.131,0.122,0.116,0.117,0.125,0.141,0.16,0.17,0.165,0.146,0.12,0.096,0.078,0.067,0.06,0.055,0.051,0.046,0.041,0.037,0.035,0.039,0.058,0.109,0.201,0.322,0.437,0.509,0.521,0.482,0.418,0.353,0.3,0.26,0.229,0.203,0.179,0.156,0.136,0.121,0.112,0.108,0.113,0.127,0.149,0.17,0.179,0.172,0.152,0.125,0.101,0.082,0.069,0.06,0.053,0.047,0.042,0.038,0.035,0.034,0.037,0.053,0.096,0.174,0.279,0.382,0.452,0.469,0.437,0.377,0.312,0.256,0.213,0.185,0.169,0.16,0.155,0.15,0.143,0.134,0.125,0.12,0.122,0.131,0.143,0.149,0.145,0.132,0.114,0.096,0.082,0.07,0.061,0.054,0.048,0.042,0.037,0.032,0.029,0.031,0.047,0.093,0.178,0.29,0.399,0.472,0.491,0.464,0.411,0.351,0.295,0.25,0.216,0.191,0.172,0.155,0.143,0.132,0.123,0.116,0.112,0.117,0.131,0.148,0.16,0.158,0.142,0.118,0.094,0.076,0.064,0.055,0.047,0.041,0.035,0.031,0.026,0.023,0.024,0.035,0.072,0.146,0.255,0.374,0.468,0.508,0.492,0.439,0.372,0.309,0.258,0.22,0.192,0.172,0.154,0.138,0.123,0.109,0.1,0.1,0.114,0.138,0.162,0.172,0.164,0.143,0.118,0.096,0.079,0.067,0.058,0.05,0.043,0.037,0.032,0.028,0.024,0.025,0.039,0.082,0.163,0.275,0.387,0.465,0.49,0.466,0.414,0.354,0.3,0.255,0.221,0.195,0.174,0.157,0.143,0.132,0.124,0.117,0.116,0.124,0.14,0.159,0.169,0.165,0.148,0.123,0.098,0.078,0.063,0.053,0.047,0.041,0.037,0.032,0.028,0.025,0.026,0.037,0.074,0.146,0.249,0.357,0.438,0.467,0.446,0.391,0.327,0.268,0.221,0.189,0.17,0.16,0.155,0.15,0.143,0.135,0.126,0.121,0.122,0.13,0.142,0.149,0.147,0.135,0.117,0.099,0.084,0.071,0.062,0.055,0.049,0.044,0.038,0.034,0.03,0.029,0.041,0.079,0.156,0.266,0.38,0.463,0.492,0.471,0.42,0.36,0.305,0.26,0.225,0.198,0.177,0.159,0.145,0.134,0.125,0.118,0.116,0.123,0.138,0.157,0.169,0.166,0.15,0.125,0.099,0.078,0.063,0.053,0.047,0.042,0.037,0.033,0.029,0.025,0.024,0.032,0.062,0.129,0.233,0.353,0.453,0.502,0.496,0.448,0.385,0.322,0.269,0.227,0.197,0.174,0.157,0.142,0.127,0.113,0.1,0.095,0.101,0.119,0.143,0.161,0.163,0.148,0.124,0.099,0.08,0.066,0.057,0.049,0.043,0.037,0.032,0.028,0.025,0.024,0.033,0.064,0.13,0.23,0.341,0.429,0.468,0.453,0.403,0.339,0.279,0.23,0.196,0.175,0.163,0.157,0.151,0.144,0.136,0.129,0.128,0.136,0.155,0.176,0.188,0.184,0.163,0.135,0.108,0.086,0.069,0.056,0.048,0.041,0.037,0.033,0.03,0.027,0.026,0.033,0.061,0.124,0.224,0.342,0.444,0.499,0.497,0.454,0.392,0.328,0.274,0.23,0.199,0.176,0.159,0.144,0.129,0.114,0.102,0.098,0.107,0.129,0.154,0.169,0.167,0.149,0.124,0.101,0.083,0.07,0.06,0.052,0.045,0.039,0.034,0.029,0.025,0.024,0.032,0.063,0.132,0.238,0.357,0.452,0.494,0.481,0.432,0.372,0.315,0.268,0.232,0.205,0.183,0.164,0.148,0.135,0.126,0.119,0.116,0.121,0.135,0.153,0.167,0.167,0.154,0.131,0.105,0.083,0.067,0.056,0.049,0.043,0.038,0.034,0.029,0.026,0.024,0.03,0.056,0.115,0.212,0.33,0.434,0.493,0.497,0.457,0.397,0.334,0.279,0.235,0.202,0.179,0.161,0.145,0.13,0.115,0.102,0.096,0.099,0.113,0.131,0.145,0.149,0.142,0.127,0.109,0.092,0.078,0.067,0.06,0.053,0.047,0.04,0.034,0.028,0.026,0.031,0.056,0.113,0.206,0.316,0.412,0.463,0.461,0.418,0.355,0.292,0.239,0.201,0.177,0.163,0.156,0.151,0.145,0.138,0.13,0.126,0.129,0.14,0.155,0.164,0.159,0.141,0.119,0.098,0.083,0.07,0.06,0.051,0.044,0.038,0.034,0.03,0.027,0.025,0.03,0.055,0.113,0.212,0.337,0.45,0.513,0.509,0.455,0.38,0.312,0.261,0.227,0.202,0.183,0.166,0.151,0.139,0.129,0.122,0.121,0.127,0.142,0.161,0.175,0.176,0.163,0.14,0.116,0.094,0.078,0.067,0.058,0.052,0.046,0.041,0.037,0.035,0.034,0.039,0.062,0.116,0.206,0.32,0.427,0.493,0.504,0.469,0.409,0.344,0.286,0.24,0.206,0.182,0.164,0.148,0.133,0.118,0.105,0.098,0.104,0.123,0.148,0.167,0.17,0.156,0.132,0.108,0.088,0.074,0.063,0.054,0.047,0.04,0.035,0.03,0.026,0.024,0.029,0.054,0.117,0.221,0.349,0.46,0.52,0.516,0.467,0.399,0.335,0.284,0.248,0.221,0.197,0.174,0.151,0.132,0.119,0.111,0.108,0.112,0.124,0.143,0.162,0.171,0.163,0.141,0.115,0.091,0.074,0.065,0.059,0.054,0.05,0.045,0.04,0.036,0.035,0.039,0.059,0.111,0.203,0.324,0.44,0.51,0.514,0.463,0.389,0.319,0.266,0.23,0.205,0.186,0.169,0.154,0.14,0.129,0.121,0.116,0.116,0.122,0.134,0.146,0.152,0.148,0.136,0.121,0.106,0.093,0.082,0.073,0.065,0.058,0.051,0.044,0.04,0.037,0.041,0.06,0.108,0.191,0.299,0.399,0.462,0.47,0.431,0.368,0.302,0.246,0.205,0.18,0.166,0.158,0.153,0.148,0.14,0.132,0.125,0.125,0.135,0.15,0.162,0.161,0.147,0.125,0.104,0.087,0.073,0.062,0.053,0.045,0.039,0.034,0.03,0.027,0.025,0.029,0.051,0.105,0.198,0.314,0.419,0.482,0.489,0.454,0.398,0.339,0.287,0.245,0.214,0.189,0.168,0.152,0.139,0.129,0.121,0.113,0.111,0.118,0.134,0.152,0.162,0.156,0.137,0.113,0.091,0.074,0.062,0.054,0.046,0.04,0.035,0.03,0.026,0.023,0.025,0.041,0.085,0.167,0.28,0.395,0.478,0.506,0.482,0.425,0.358,0.297,0.247,0.212,0.187,0.169,0.152,0.136,0.12,0.106,0.098,0.101,0.117,0.142,0.165,0.174,0.165,0.144,0.118,0.094,0.074,0.061,0.052,0.045,0.04,0.036,0.031,0.028,0.025,0.029,0.048,0.099,0.187,0.302,0.408,0.475,0.487,0.456,0.402,0.343,0.29,0.247,0.214,0.189,0.169,0.153,0.14,0.131,0.122,0.116,0.116,0.126,0.145,0.163,0.17,0.16,0.137,0.111,0.09,0.074,0.063,0.055,0.048,0.041,0.035,0.03,0.026,0.023,0.025,0.04,0.084,0.164,0.272,0.379,0.452,0.47,0.438,0.378,0.311,0.254,0.212,0.184,0.168,0.16,0.154,0.149,0.142,0.134,0.127,0.128,0.141,0.163,0.184,0.191,0.179,0.153,0.124,0.098,0.078,0.063,0.052,0.045,0.04,0.036,0.032,0.029,0.026,0.029,0.046,0.093,0.178,0.292,0.401,0.473,0.492,0.465,0.411,0.351,0.295,0.25,0.217,0.191,0.171,0.155,0.142,0.132,0.123,0.117,0.117,0.126,0.144,0.162,0.169,0.16,0.138,0.113,0.092,0.076,0.064,0.056,0.049,0.042,0.036,0.031,0.027,0.024,0.024,0.036,0.074,0.151,0.266,0.39,0.484,0.517,0.489,0.423,0.35,0.289,0.246,0.218,0.196,0.177,0.16,0.144,0.132,0.123,0.118,0.117,0.124,0.139,0.157,0.169,0.167,0.15,0.124,0.099,0.08,0.068,0.062,0.057,0.052,0.047,0.042,0.038,0.036,0.037,0.052,0.095,0.179,0.297,0.419,0.503,0.527,0.495,0.434,0.368,0.312,0.269,0.236,0.209,0.184,0.16,0.139,0.124,0.113,0.107,0.106,0.112,0.125,0.14,0.15,0.151,0.141,0.127,0.111,0.097,0.085,0.075,0.067,0.06,0.053,0.046,0.041,0.037,0.038,0.052,0.093,0.172,0.282,0.393,0.47,0.494,0.47,0.418,0.358,0.303,0.257,0.222,0.196,0.176,0.159,0.146,0.134,0.125,0.118,0.117,0.124,0.14,0.158,0.169,0.165,0.148,0.124,0.099,0.078,0.063,0.053,0.047,0.041,0.037,0.032,0.028,0.025,0.024,0.033,0.065,0.133,0.238,0.358,0.456,0.503,0.493,0.444,0.38,0.317,0.265,0.224,0.195,0.173,0.156,0.141,0.126,0.112,0.101,0.096,0.103,0.119,0.137,0.149,0.149,0.139,0.123,0.105,0.089,0.076,0.066,0.059,0.052,0.046,0.039,0.033,0.028,0.026,0.033,0.064,0.132,0.24,0.365,0.47,0.518,0.502,0.442,0.367,0.302,0.254,0.222,0.199,0.18,0.163,0.148,0.135,0.125,0.118,0.117,0.123,0.138,0.156,0.17,0.169,0.153,0.127,0.101,0.082,0.07,0.063,0.058,0.054,0.048,0.043,0.039,0.036,0.036,0.046,0.078,0.143,0.24,0.348,0.432,0.468,0.452,0.401,0.338,0.278,0.23,0.195,0.174,0.162,0.156,0.151,0.144,0.136,0.129,0.125,0.13,0.144,0.159,0.165,0.156,0.136,0.113,0.094,0.079,0.067,0.058,0.049,0.042,0.037,0.033,0.029,0.026,0.025,0.034,0.067,0.14,0.254,0.383,0.483,0.526,0.508,0.452,0.384,0.322,0.274,0.24,0.214,0.191,0.168,0.146,0.129,0.117,0.111,0.112,0.122,0.14,0.161,0.175,0.175,0.16,0.136,0.112,0.091,0.075,0.064,0.057,0.05,0.045,0.041,0.037,0.034,0.034,0.044,0.077,0.146,0.25,0.365,0.456,0.496,0.482,0.434,0.373,0.316,0.269,0.232,0.204,0.182,0.164,0.148,0.136,0.126,0.117,0.112,0.114,0.125,0.143,0.158,0.161,0.149,0.126,0.102,0.082,0.068,0.058,0.05,0.044,0.038,0.033,0.028,0.024,0.023,0.03,0.061,0.132,0.244,0.373,0.478,0.527,0.513,0.458,0.388,0.325,0.276,0.241,0.215,0.192,0.169,0.147,0.13,0.117,0.111,0.111,0.12,0.138,0.16,0.175,0.176,0.162,0.139,0.114,0.093,0.077,0.065,0.057,0.051,0.045,0.041,0.037,0.034,0.034,0.043,0.073,0.138,0.239,0.355,0.449,0.494,0.485,0.439,0.379,0.321,0.273,0.235,0.206,0.184,0.165,0.15,0.137,0.128,0.12,0.116,0.12,0.134,0.153,0.167,0.166,0.151,0.127,0.103,0.084,0.07,0.06,0.051,0.045,0.039,0.033,0.029,0.025,0.023,0.028,0.051,0.106,0.2,0.317,0.424,0.489,0.499,0.464,0.405,0.341,0.283,0.237,0.203,0.18,0.162,0.147,0.132,0.117,0.104,0.099,0.106,0.125,0.149,0.168,0.172,0.16,0.137,0.111,0.088,0.07,0.058,0.05,0.044,0.038,0.034,0.03,0.027,0.025,0.031,0.057,0.122,0.228,0.356,0.465,0.521,0.515,0.464,0.396,0.332,0.281,0.245,0.219,0.196,0.173,0.151,0.132,0.119,0.112,0.111,0.118,0.133,0.153,0.167,0.168,0.155,0.134,0.113,0.097,0.086,0.076,0.067,0.059,0.051,0.045,0.041,0.038,0.036,0.04,0.061,0.115,0.21,0.332,0.446,0.513,0.513,0.461,0.386,0.316,0.264,0.229,0.204,0.184,0.168,0.153,0.14,0.129,0.122,0.119,0.125,0.14,0.16,0.176,0.179,0.166,0.143,0.117,0.095,0.078,0.067,0.058,0.052,0.046,0.041,0.037,0.035,0.034,0.04,0.064,0.122,0.217,0.333,0.434,0.488,0.488,0.448,0.389,0.331,0.281,0.241,0.21,0.186,0.166,0.151,0.139,0.13,0.121,0.114,0.112,0.117,0.13,0.144,0.15,0.146,0.132,0.114,0.096,0.081,0.07,0.062,0.055,0.048,0.041,0.035,0.029,0.025,0.028,0.045,0.093,0.179,0.293,0.406,0.482,0.503,0.474,0.417,0.352,0.293,0.245,0.211,0.186,0.167,0.15,0.134,0.118,0.104,0.094,0.094,0.107,0.129,0.152,0.164,0.159,0.14,0.114,0.091,0.073,0.061,0.053,0.046,0.04,0.035,0.03,0.026,0.024,0.028,0.049,0.103,0.195,0.311,0.416,0.477,0.483,0.448,0.393,0.335,0.284,0.243,0.212,0.187,0.167,0.151,0.139,0.129,0.121,0.115,0.116,0.127,0.146,0.164,0.17,0.161,0.14,0.115,0.091,0.072,0.059,0.051,0.045,0.04,0.035,0.031,0.027,0.025,0.028,0.048,0.103,0.199,0.324,0.44,0.509,0.517,0.476,0.412,0.348,0.296,0.257,0.227,0.202,0.177,0.153,0.134,0.12,0.111,0.107,0.108,0.116,0.13,0.144,0.152,0.15,0.139,0.123,0.107,0.093,0.082,0.073,0.066,0.058,0.051,0.045,0.04,0.037,0.041,0.061,0.112,0.2,0.312,0.416,0.48,0.491,0.461,0.407,0.347,0.293,0.249,0.215,0.19,0.17,0.154,0.142,0.132,0.123,0.115,0.112,0.117,0.132,0.15,0.161,0.157,0.14,0.115,0.093,0.076,0.064,0.055,0.047,0.041,0.035,0.03,0.026,0.023,0.026,0.044,0.094,0.185,0.307,0.426,0.503,0.519,0.483,0.421,0.356,0.302,0.261,0.229,0.203,0.178,0.154,0.135,0.121,0.112,0.108,0.108,0.116,0.129,0.143,0.152,0.151,0.14,0.125,0.109,0.094,0.083,0.074,0.066,0.059,0.052,0.045,0.04,0.037,0.04,0.058,0.105,0.189,0.299,0.404,0.473,0.491,0.464,0.411,0.351,0.296,0.25,0.217,0.191,0.171,0.155,0.142,0.132,0.123,0.117,0.117,0.126,0.143,0.162,0.171,0.165,0.146,0.121,0.095,0.075,0.061,0.052,0.046,0.041,0.036,0.032,0.028,0.025,0.025,0.037,0.074,0.149,0.257,0.375,0.466,0.504,0.487,0.434,0.369,0.308,0.258,0.22,0.192,0.171,0.154,0.138,0.123,0.109,0.1,0.101,0.114,0.139,0.162,0.172,0.164,0.143,0.118,0.096,0.079,0.067,0.058,0.05,0.043,0.037,0.032,0.028,0.024,0.025,0.04,0.083,0.164,0.276,0.388,0.466,0.49,0.466,0.414,0.354,0.299,0.255,0.221,0.195,0.174,0.157,0.143,0.132,0.123,0.115,0.112,0.116,0.13,0.148,0.161,0.16,0.144,0.12,0.096,0.078,0.065,0.056,0.049,0.042,0.036,0.031,0.027,0.024,0.024,0.037,0.074,0.146,0.25,0.359,0.439,0.468,0.445,0.39,0.325,0.266,0.221,0.189,0.17,0.161,0.155,0.15,0.144,0.135,0.128,0.129,0.139,0.159,0.18,0.189,0.18,0.158,0.13,0.104,0.083,0.067,0.055,0.047,0.041,0.037,0.033,0.03,0.027,0.027,0.036,0.068,0.138,0.245,0.369,0.469,0.513,0.495,0.434,0.361,0.298,0.252,0.221,0.198,0.178,0.161,0.146,0.134,0.124,0.118,0.116,0.121,0.13,0.142,0.15,0.149,0.14,0.126,0.112,0.099,0.087,0.078,0.069,0.062,0.054,0.047,0.042,0.038,0.038,0.049,0.087,0.162,0.271,0.385,0.468,0.497,0.475,0.423,0.362,0.307,0.261,0.227,0.2,0.179,0.162,0.147,0.135,0.125,0.117,0.112,0.115,0.129,0.147,0.162,0.161,0.146,0.122,0.098,0.079,0.066,0.057,0.049,0.043,0.037,0.032,0.027,0.024,0.023,0.033,0.065,0.131,0.232,0.343,0.43,0.467,0.452,0.401,0.337,0.278,0.229,0.195,0.173,0.162,0.155,0.149,0.143,0.135,0.128,0.127,0.136,0.155,0.176,0.188,0.183,0.162,0.134,0.107,0.085,0.068,0.056,0.048,0.041,0.037,0.033,0.03,0.027,0.026,0.034,0.062,0.125,0.226,0.344,0.445,0.497,0.495,0.451,0.388,0.326,0.272,0.229,0.198,0.176,0.159,0.144,0.129,0.114,0.101,0.098,0.107,0.129,0.154,0.17,0.168,0.149,0.124,0.101,0.082,0.069,0.059,0.051,0.044,0.038,0.033,0.029,0.025,0.024,0.031,0.063,0.136,0.25,0.38,0.483,0.529,0.512,0.456,0.386,0.323,0.274,0.24,0.214,0.192,0.169,0.147,0.129,0.117,0.109,0.107,0.112,0.123,0.137,0.148,0.15,0.144,0.13,0.115,0.1,0.088,0.078,0.07,0.063,0.056,0.049,0.043,0.038,0.037,0.043,0.07,0.131,0.231,0.353,0.459,0.514,0.507,0.451,0.378,0.31,0.26,0.226,0.202,0.182,0.165,0.15,0.137,0.127,0.119,0.116,0.12,0.133,0.151,0.167,0.17,0.157,0.133,0.108,0.086,0.072,0.064,0.058,0.053,0.049,0.044,0.04,0.036,0.035,0.041,0.066,0.123,0.218,0.334,0.437,0.497,0.502,0.462,0.401,0.337,0.28,0.235,0.203,0.179,0.161,0.146,0.131,0.116,0.104,0.099,0.106,0.126,0.15,0.168,0.171,0.158,0.135,0.109,0.086,0.069,0.057,0.049,0.043,0.038,0.034,0.03,0.027,0.025,0.032,0.059,0.122,0.223,0.341,0.44,0.488,0.482,0.438,0.379,0.322,0.274,0.236,0.207,0.184,0.165,0.15,0.137,0.128,0.118,0.107,0.096,0.086,0.078,0.072,0.067,0.061,0.054,0.047,0.042,0.038,0.035,0.032,0.029,0.026,0.023,0.021,0.019,0.017,0.016,0.015,0.014,0.013,0.012,0.012,0.012,0.011,0.01,0.01,0.008,0.008,0.007,0.006,0.006,0.006,0.005,0.004,0.004,0.004,0.004,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]