[0.001,0.003,0.007,0.014,0.023,0.032,0.04,0.047,0.053,0.057,0.06,0.062,0.064,0.067,0.07,0.074,0.077,0.079,0.08,0.079,0.078,0.078,0.08,0.082,0.084,0.086,0.087,0.088,0.088,0.087,0.085,0.083,0.082,0.081,0.081,0.083,0.086,0.089,0.09,0.089,0.087,0.085,0.083,0.081,0.081,0.081,0.082,0.082,0.083,0.083,0.084,0.085,0.086,0.086,0.086,0.083,0.079,0.075,0.072,0.071,0.072,0.074,0.077,0.08,0.083,0.084,0.084,0.082,0.079,0.077,0.076,0.077,0.078,0.081,0.083,0.084,0.085,0.083,0.08,0.075,0.07,0.065,0.063,0.062,0.064,0.067,0.07,0.071,0.071,0.069,0.067,0.067,0.07,0.075,0.079,0.081,0.08,0.078,0.075,0.072,0.071,0.071,0.071,0.072,0.072,0.071,0.069,0.067,0.066,0.066,0.068,0.07,0.071,0.07,0.067,0.063,0.06,0.058,0.058,0.058,0.06,0.061,0.063,0.065,0.068,0.072,0.078,0.082,0.085,0.084,0.083,0.081,0.079,0.077,0.076,0.075,0.075,0.076,0.077,0.078,0.079,0.078,0.078,0.078,0.078,0.077,0.077,0.076,0.075,0.074,0.071,0.068,0.066,0.065,0.065,0.066,0.068,0.07,0.073,0.076,0.079,0.081,0.081,0.081,0.081,0.081,0.083,0.084,0.084,0.083,0.083,0.084,0.085,0.085,0.086,0.085,0.084,0.083,0.082,0.081,0.082,0.082,0.083,0.085,0.086,0.088,0.089,0.09,0.091,0.091,0.09,0.09,0.093,0.099,0.107,0.112,0.114,0.113,0.11,0.106,0.105,0.105,0.105,0.106,0.105,0.103,0.1,0.096,0.093,0.091,0.09,0.089,0.088,0.087,0.086,0.084,0.082,0.081,0.079,0.078,0.077,0.076,0.075,0.072,0.069,0.067,0.066,0.066,0.068,0.07,0.073,0.075,0.077,0.08,0.084,0.09,0.096,0.102,0.105,0.105,0.102,0.099,0.099,0.101,0.105,0.107,0.106,0.103,0.098,0.094,0.093,0.093,0.093,0.092,0.091,0.089,0.087,0.085,0.084,0.084,0.083,0.082,0.079,0.076,0.073,0.07,0.068,0.068,0.068,0.07,0.072,0.074,0.076,0.078,0.079,0.079,0.08,0.082,0.084,0.086,0.088,0.089,0.09,0.09,0.089,0.087,0.084,0.082,0.081,0.082,0.082,0.082,0.082,0.08,0.078,0.075,0.072,0.069,0.067,0.066,0.066,0.067,0.069,0.07,0.071,0.073,0.074,0.074,0.075,0.074,0.073,0.072,0.072,0.073,0.074,0.075,0.076,0.076,0.077,0.078,0.079,0.079,0.078,0.077,0.077,0.077,0.078,0.081,0.083,0.085,0.085,0.085,0.085,0.086,0.088,0.089,0.088,0.085,0.081,0.076,0.074,0.073,0.073,0.074,0.076,0.078,0.079,0.079,0.078,0.075,0.073,0.072,0.073,0.075,0.076,0.078,0.078,0.078,0.078,0.077,0.076,0.075,0.074,0.074,0.075,0.076,0.077,0.077,0.076,0.073,0.071,0.071,0.072,0.073,0.072,0.07,0.067,0.064,0.062,0.06,0.06,0.061,0.063,0.066,0.069,0.071,0.073,0.074,0.074,0.075,0.076,0.078,0.079,0.079,0.076,0.073,0.07,0.069,0.07,0.072,0.073,0.073,0.072,0.071,0.071,0.072,0.075,0.077,0.077,0.075,0.071,0.068,0.067,0.066,0.065,0.064,0.063,0.064,0.065,0.066,0.066,0.067,0.067,0.069,0.07,0.072,0.074,0.076,0.079,0.083,0.084,0.083,0.08,0.077,0.074,0.073,0.073,0.074,0.075,0.076,0.076,0.076,0.076,0.075,0.075,0.075,0.075,0.074,0.071,0.068,0.065,0.063,0.063,0.064,0.066,0.069,0.072,0.074,0.075,0.075,0.074,0.074,0.074,0.074,0.076,0.078,0.078,0.077,0.076,0.074,0.072,0.071,0.07,0.07,0.069,0.069,0.07,0.071,0.073,0.075,0.077,0.077,0.077,0.077,0.076,0.074,0.072,0.07,0.068,0.067,0.066,0.066,0.067,0.07,0.073,0.075,0.076,0.077,0.076,0.075,0.075,0.075,0.074,0.072,0.07,0.067,0.064,0.062,0.062,0.064,0.066,0.07,0.072,0.073,0.073,0.071,0.067,0.065,0.063,0.064,0.067,0.071,0.075,0.077,0.081,0.087,0.094,0.102,0.107,0.107,0.103,0.097,0.091,0.09,0.093,0.101,0.109,0.116,0.119,0.117,0.111,0.104,0.097,0.091,0.087,0.085,0.084,0.084,0.086,0.09,0.094,0.096,0.095,0.092,0.087,0.082,0.079,0.08,0.082,0.086,0.09,0.093,0.094,0.094,0.091,0.088,0.083,0.078,0.073,0.068,0.065,0.065,0.066,0.069,0.071,0.073,0.073,0.073,0.072,0.071,0.07,0.069,0.068,0.068,0.07,0.072,0.072,0.072,0.071,0.07,0.071,0.074,0.079,0.083,0.085,0.083,0.085,0.102,0.153,0.245,0.364,0.473,0.542,0.566,0.567,0.567,0.571,0.574,0.573,0.57,0.562,0.54,0.502,0.456,0.419,0.402,0.407,0.434,0.478,0.527,0.566,0.589,0.598,0.599,0.592,0.575,0.554,0.543,0.546,0.55,0.539,0.504,0.459,0.42,0.403,0.413,0.45,0.498,0.538,0.556,0.557,0.558,0.57,0.587,0.6,0.607,0.617,0.627,0.623,0.592,0.536,0.477,0.435,0.42,0.432,0.465,0.507,0.541,0.556,0.557,0.551,0.545,0.534,0.52,0.51,0.52,0.545,0.566,0.564,0.537,0.498,0.466,0.454,0.464,0.488,0.511,0.521,0.522,0.53,0.552,0.576,0.584,0.577,0.57,0.575,0.581,0.569,0.53,0.478,0.431,0.409,0.419,0.46,0.519,0.574,0.605,0.611,0.605,0.598,0.587,0.57,0.551,0.546,0.554,0.561,0.545,0.502,0.446,0.397,0.374,0.383,0.42,0.467,0.501,0.513,0.515,0.528,0.558,0.589,0.605,0.602,0.585,0.556,0.514,0.462,0.41,0.372,0.354,0.362,0.398,0.453,0.508,0.544,0.557,0.562,0.573,0.585,0.587,0.578,0.573,0.579,0.584,0.569,0.529,0.475,0.427,0.401,0.403,0.433,0.479,0.519,0.538,0.541,0.546,0.562,0.582,0.594,0.595,0.588,0.574,0.543,0.494,0.438,0.394,0.372,0.375,0.403,0.45,0.506,0.554,0.585,0.597,0.596,0.581,0.555,0.531,0.526,0.546,0.57,0.573,0.542,0.487,0.432,0.398,0.396,0.43,0.488,0.546,0.579,0.582,0.572,0.566,0.566,0.567,0.57,0.578,0.592,0.593,0.567,0.511,0.445,0.391,0.366,0.378,0.423,0.487,0.544,0.577,0.587,0.583,0.577,0.565,0.545,0.527,0.523,0.527,0.524,0.501,0.463,0.423,0.396,0.39,0.407,0.441,0.477,0.499,0.507,0.518,0.545,0.579,0.601,0.605,0.601,0.599,0.593,0.567,0.517,0.457,0.406,0.379,0.381,0.413,0.464,0.515,0.549,0.567,0.575,0.581,0.58,0.57,0.558,0.56,0.573,0.583,0.567,0.523,0.464,0.41,0.374,0.363,0.374,0.401,0.432,0.459,0.476,0.489,0.5,0.513,0.524,0.534,0.545,0.556,0.566,0.569,0.566,0.561,0.558,0.555,0.547,0.531,0.511,0.49,0.477,0.473,0.474,0.474,0.466,0.458,0.46,0.478,0.506,0.531,0.548,0.558,0.562,0.564,0.566,0.569,0.571,0.567,0.554,0.538,0.533,0.542,0.56,0.578,0.591,0.598,0.595,0.572,0.532,0.486,0.452,0.437,0.442,0.468,0.509,0.552,0.58,0.588,0.587,0.591,0.602,0.609,0.607,0.605,0.61,0.615,0.603,0.567,0.518,0.474,0.449,0.451,0.48,0.526,0.571,0.596,0.598,0.592,0.59,0.593,0.593,0.589,0.586,0.583,0.569,0.538,0.496,0.461,0.442,0.442,0.459,0.49,0.53,0.569,0.595,0.604,0.601,0.588,0.566,0.543,0.53,0.535,0.547,0.549,0.528,0.489,0.449,0.426,0.427,0.455,0.502,0.55,0.58,0.588,0.584,0.585,0.594,0.601,0.598,0.592,0.587,0.578,0.551,0.505,0.452,0.411,0.395,0.409,0.449,0.503,0.554,0.585,0.595,0.592,0.585,0.571,0.552,0.536,0.54,0.561,0.582,0.578,0.543,0.49,0.443,0.42,0.43,0.464,0.503,0.527,0.531,0.53,0.539,0.557,0.571,0.572,0.569,0.573,0.58,0.573,0.539,0.488,0.436,0.402,0.396,0.425,0.482,0.549,0.601,0.628,0.635,0.633,0.626,0.61,0.591,0.583,0.593,0.604,0.594,0.553,0.493,0.436,0.401,0.398,0.425,0.466,0.499,0.51,0.506,0.508,0.529,0.56,0.586,0.597,0.596,0.583,0.552,0.502,0.443,0.393,0.363,0.361,0.39,0.443,0.507,0.557,0.582,0.588,0.592,0.599,0.6,0.592,0.586,0.591,0.602,0.6,0.573,0.527,0.477,0.442,0.434,0.458,0.504,0.55,0.573,0.574,0.568,0.572,0.582,0.585,0.579,0.569,0.559,0.541,0.502,0.444,0.387,0.349,0.34,0.366,0.421,0.494,0.56,0.603,0.618,0.615,0.601,0.577,0.55,0.534,0.538,0.55,0.547,0.513,0.456,0.395,0.351,0.335,0.353,0.401,0.463,0.517,0.55,0.564,0.572,0.581,0.585,0.585,0.583,0.584,0.578,0.551,0.501,0.442,0.395,0.373,0.382,0.418,0.469,0.516,0.543,0.548,0.545,0.548,0.555,0.56,0.558,0.557,0.56,0.56,0.542,0.502,0.447,0.392,0.352,0.336,0.346,0.373,0.408,0.44,0.465,0.485,0.501,0.511,0.515,0.519,0.53,0.547,0.563,0.57,0.567,0.559,0.552,0.546,0.537,0.523,0.503,0.479,0.457,0.443,0.44,0.446,0.455,0.465,0.477,0.494,0.516,0.537,0.55,0.555,0.557,0.558,0.563,0.571,0.577,0.573,0.552,0.516,0.476,0.444,0.423,0.414,0.414,0.42,0.424,0.424,0.415,0.401,0.386,0.373,0.365,0.362,0.363,0.367,0.372,0.374,0.371,0.363,0.354,0.353,0.372,0.417,0.479,0.532,0.553,0.536,0.498,0.459,0.434,0.427,0.432,0.44,0.443,0.437,0.426,0.417,0.415,0.421,0.438,0.469,0.515,0.561,0.585,0.573,0.529,0.475,0.431,0.409,0.415,0.446,0.49,0.527,0.54,0.524,0.493,0.464,0.447,0.45,0.477,0.522,0.567,0.588,0.574,0.533,0.487,0.456,0.449,0.466,0.504,0.548,0.576,0.571,0.531,0.472,0.413,0.366,0.334,0.314,0.301,0.292,0.284,0.276,0.269,0.264,0.264,0.267,0.272,0.278,0.283,0.285,0.284,0.281,0.278,0.28,0.299,0.345,0.414,0.485,0.525,0.52,0.482,0.44,0.414,0.41,0.426,0.458,0.498,0.532,0.545,0.53,0.495,0.455,0.419,0.394,0.377,0.365,0.357,0.35,0.346,0.343,0.34,0.338,0.34,0.345,0.353,0.361,0.366,0.365,0.356,0.341,0.324,0.309,0.301,0.302,0.311,0.325,0.336,0.342,0.341,0.337,0.336,0.35,0.385,0.434,0.473,0.484,0.463,0.427,0.397,0.382,0.379,0.381,0.382,0.381,0.375,0.367,0.357,0.347,0.337,0.331,0.329,0.329,0.332,0.334,0.335,0.332,0.329,0.327,0.334,0.362,0.416,0.486,0.545,0.569,0.549,0.502,0.453,0.416,0.399,0.396,0.401,0.402,0.394,0.377,0.357,0.34,0.332,0.339,0.373,0.433,0.503,0.551,0.559,0.526,0.477,0.438,0.424,0.439,0.48,0.53,0.565,0.568,0.539,0.493,0.449,0.424,0.426,0.461,0.517,0.568,0.586,0.559,0.501,0.438,0.394,0.378,0.395,0.439,0.493,0.531,0.537,0.51,0.468,0.428,0.4,0.382,0.371,0.363,0.355,0.349,0.344,0.343,0.343,0.343,0.345,0.347,0.351,0.355,0.359,0.361,0.36,0.359,0.361,0.373,0.404,0.452,0.5,0.523,0.509,0.468,0.425,0.399,0.399,0.421,0.46,0.504,0.538,0.546,0.523,0.478,0.429,0.387,0.36,0.345,0.338,0.337,0.338,0.34,0.341,0.341,0.344,0.36,0.395,0.446,0.494,0.515,0.499,0.457,0.414,0.382,0.364,0.356,0.352,0.351,0.351,0.35,0.35,0.35,0.352,0.361,0.385,0.429,0.484,0.532,0.551,0.537,0.504,0.471,0.449,0.437,0.429,0.422,0.415,0.409,0.404,0.4,0.399,0.4,0.405,0.413,0.422,0.431,0.439,0.444,0.445,0.445,0.445,0.453,0.475,0.515,0.56,0.589,0.583,0.542,0.488,0.445,0.425,0.425,0.434,0.443,0.446,0.44,0.431,0.426,0.427,0.434,0.446,0.467,0.502,0.543,0.572,0.574,0.549,0.511,0.476,0.45,0.429,0.408,0.381,0.347,0.312,0.281,0.258,0.245,0.239,0.239,0.244,0.254,0.268,0.281,0.289,0.292,0.289,0.288,0.3,0.336,0.397,0.468,0.517,0.524,0.49,0.437,0.388,0.355,0.337,0.33,0.331,0.337,0.347,0.357,0.366,0.371,0.371,0.363,0.352,0.34,0.332,0.328,0.327,0.325,0.322,0.324,0.339,0.377,0.439,0.509,0.559,0.567,0.533,0.479,0.431,0.406,0.415,0.45,0.493,0.518,0.506,0.462,0.407,0.36,0.331,0.316,0.312,0.314,0.32,0.325,0.328,0.33,0.332,0.335,0.338,0.341,0.344,0.346,0.348,0.347,0.343,0.335,0.326,0.318,0.316,0.32,0.331,0.344,0.353,0.354,0.348,0.339,0.336,0.351,0.39,0.45,0.512,0.552,0.553,0.521,0.473,0.426,0.391,0.37,0.359,0.354,0.353,0.352,0.35,0.345,0.341,0.339,0.342,0.346,0.351,0.352,0.349,0.343,0.335,0.331,0.334,0.355,0.396,0.448,0.49,0.5,0.478,0.439,0.404,0.383,0.379,0.387,0.402,0.413,0.413,0.401,0.383,0.368,0.361,0.371,0.406,0.464,0.529,0.573,0.573,0.533,0.474,0.425,0.404,0.417,0.46,0.516,0.557,0.563,0.531,0.478,0.428,0.399,0.398,0.428,0.48,0.537,0.572,0.571,0.537,0.489,0.448,0.43,0.444,0.485,0.537,0.569,0.566,0.531,0.486,0.449,0.425,0.411,0.402,0.396,0.392,0.389,0.386,0.382,0.38,0.381,0.383,0.385,0.388,0.39,0.392,0.393,0.392,0.392,0.396,0.412,0.445,0.496,0.55,0.582,0.577,0.539,0.486,0.439,0.416,0.423,0.457,0.501,0.528,0.521,0.483,0.433,0.39,0.363,0.35,0.347,0.35,0.356,0.36,0.36,0.353,0.341,0.329,0.321,0.32,0.327,0.337,0.344,0.347,0.347,0.347,0.348,0.349,0.35,0.349,0.346,0.341,0.335,0.33,0.327,0.327,0.336,0.36,0.406,0.468,0.528,0.568,0.583,0.583,0.576,0.557,0.52,0.468,0.417,0.379,0.354,0.328,0.296,0.26,0.229,0.215,0.22,0.237,0.254,0.263,0.276,0.317,0.393,0.485,0.556,0.588,0.594,0.599,0.606,0.596,0.55,0.471,0.377,0.294,0.252,0.269,0.345,0.45,0.542,0.595,0.617,0.623,0.618,0.589,0.524,0.43,0.329,0.249,0.214,0.237,0.314,0.414,0.5,0.55,0.569,0.57,0.558,0.526,0.472,0.405,0.336,0.274,0.228,0.203,0.2,0.216,0.246,0.291,0.356,0.437,0.515,0.569,0.592,0.596,0.591,0.579,0.565,0.56,0.577,0.6,0.6,0.551,0.461,0.359,0.273,0.215,0.183,0.167,0.161,0.162,0.175,0.198,0.225,0.242,0.253,0.276,0.334,0.423,0.514,0.572,0.595,0.604,0.617,0.624,0.603,0.541,0.447,0.346,0.27,0.25,0.298,0.396,0.5,0.571,0.601,0.613,0.624,0.629,0.614,0.578,0.536,0.501,0.471,0.445,0.424,0.415,0.42,0.441,0.476,0.518,0.556,0.571,0.556,0.523,0.496,0.488,0.5,0.522,0.549,0.576,0.597,0.608,0.612,0.615,0.625,0.638,0.644,0.636,0.617,0.587,0.55,0.52,0.513,0.534,0.562,0.567,0.532,0.465,0.386,0.317,0.266,0.235,0.222,0.222,0.233,0.25,0.268,0.277,0.276,0.281,0.314,0.383,0.471,0.542,0.576,0.583,0.585,0.591,0.589,0.557,0.492,0.403,0.317,0.264,0.272,0.341,0.439,0.523,0.568,0.583,0.593,0.604,0.6,0.562,0.488,0.394,0.308,0.261,0.274,0.341,0.43,0.495,0.522,0.53,0.547,0.577,0.599,0.585,0.525,0.434,0.338,0.26,0.212,0.196,0.203,0.228,0.272,0.336,0.41,0.469,0.498,0.507,0.52,0.549,0.579,0.591,0.585,0.578,0.576,0.563,0.524,0.459,0.387,0.325,0.279,0.249,0.232,0.227,0.233,0.247,0.266,0.281,0.284,0.279,0.287,0.327,0.4,0.481,0.541,0.575,0.593,0.605,0.599,0.559,0.482,0.385,0.294,0.234,0.229,0.288,0.393,0.5,0.564,0.565,0.519,0.456,0.403,0.369,0.35,0.336,0.322,0.306,0.289,0.274,0.263,0.255,0.259,0.282,0.327,0.382,0.43,0.458,0.467,0.464,0.457,0.45,0.443,0.437,0.43,0.418,0.402,0.389,0.385,0.389,0.4,0.421,0.455,0.499,0.534,0.549,0.547,0.549,0.567,0.595,0.61,0.594,0.547,0.487,0.429,0.382,0.348,0.324,0.309,0.312,0.34,0.393,0.45,0.482,0.473,0.433,0.39,0.366,0.364,0.372,0.379,0.382,0.383,0.383,0.381,0.369,0.344,0.308,0.273,0.257,0.268,0.298,0.332,0.356,0.37,0.376,0.382,0.385,0.384,0.37,0.343,0.305,0.269,0.251,0.26,0.291,0.337,0.392,0.456,0.524,0.578,0.597,0.571,0.509,0.432,0.356,0.295,0.257,0.243,0.248,0.268,0.307,0.37,0.449,0.521,0.563,0.575,0.579,0.592,0.613,0.627,0.628,0.619,0.603,0.577,0.536,0.481,0.427,0.382,0.349,0.327,0.314,0.307,0.309,0.326,0.366,0.427,0.493,0.534,0.533,0.496,0.447,0.405,0.378,0.363,0.355,0.35,0.346,0.339,0.326,0.304,0.276,0.25,0.238,0.246,0.272,0.306,0.335,0.353,0.36,0.362,0.363,0.369,0.381,0.399,0.416,0.423,0.421,0.416,0.417,0.428,0.448,0.479,0.516,0.547,0.553,0.529,0.483,0.433,0.394,0.366,0.348,0.336,0.331,0.332,0.346,0.381,0.437,0.505,0.563,0.599,0.614,0.615,0.605,0.583,0.559,0.544,0.547,0.555,0.545,0.509,0.456,0.403,0.361,0.33,0.305,0.283,0.268,0.269,0.298,0.357,0.431,0.487,0.503,0.478,0.439,0.411,0.401,0.399,0.394,0.384,0.373,0.364,0.355,0.34,0.314,0.283,0.267,0.29,0.361,0.457,0.537,0.569,0.549,0.499,0.446,0.405,0.373,0.343,0.311,0.284,0.279,0.316,0.393,0.485,0.554,0.581,0.577,0.566,0.56,0.551,0.526,0.486,0.438,0.393,0.355,0.325,0.304,0.291,0.292,0.315,0.366,0.432,0.49,0.52,0.524,0.525,0.541,0.57,0.597,0.608,0.603,0.581,0.541,0.488,0.435,0.396,0.377,0.37,0.364,0.353,0.337,0.323,0.315,0.315,0.317,0.313,0.308,0.318,0.361,0.435,0.511,0.558,0.575,0.58,0.59,0.599,0.584,0.533,0.455,0.375,0.319,0.308,0.349,0.428,0.511,0.569,0.596,0.608,0.616,0.614,0.593,0.555,0.516,0.49,0.474,0.458,0.435,0.409,0.392,0.396,0.425,0.473,0.522,0.554,0.558,0.539,0.51,0.484,0.467,0.458,0.459,0.47,0.492,0.52,0.552,0.58,0.592,0.579,0.536,0.472,0.402,0.336,0.281,0.238,0.209,0.193,0.184,0.178,0.171,0.161,0.148,0.133,0.119,0.105,0.093,0.084,0.076,0.07,0.065,0.062,0.06,0.059,0.057,0.055,0.053,0.05,0.048,0.045,0.042,0.039,0.038,0.037,0.038,0.039,0.039,0.039,0.037,0.033,0.03,0.027,0.026,0.024,0.023,0.023,0.022,0.022,0.022,0.023,0.022,0.021,0.02,0.018,0.016,0.015,0.014,0.014,0.012,0.011,0.01,0.009,0.009,0.009,0.008,0.008,0.008,0.007,0.007,0.007,0.007,0.007,0.007,0.008,0.008,0.008,0.008,0.009,0.009,0.009,0.008,0.007,0.007,0.006,0.006,0.006,0.006,0.006,0.006,0.006,0.006,0.006,0.006,0.005,0.005,0.004,0.004,0.004,0.004,0.004,0.004,0.004,0.004,0.004,0.004,0.004,0.004,0.004,0.004,0.004,0.003,0.003,0.003,0.003]