[0.419,0.407,0.389,0.378,0.38,0.387,0.393,0.398,0.406,0.415,0.416,0.406,0.39,0.377,0.368,0.363,0.363,0.371,0.383,0.389,0.391,0.394,0.403,0.411,0.411,0.401,0.39,0.381,0.373,0.369,0.374,0.389,0.402,0.406,0.405,0.408,0.416,0.42,0.414,0.402,0.393,0.385,0.379,0.376,0.379,0.381,0.376,0.366,0.358,0.36,0.365,0.366,0.365,0.37,0.38,0.393,0.406,0.421,0.436,0.442,0.435,0.419,0.404,0.393,0.383,0.374,0.371,0.375,0.38,0.379,0.375,0.374,0.376,0.376,0.374,0.374,0.382,0.393,0.404,0.411,0.415,0.415,0.408,0.398,0.391,0.392,0.391,0.388,0.385,0.389,0.396,0.398,0.394,0.39,0.391,0.393,0.392,0.388,0.386,0.387,0.387,0.385,0.384,0.386,0.388,0.388,0.386,0.387,0.387,0.383,0.376,0.372,0.374,0.376,0.373,0.369,0.369,0.372,0.371,0.365,0.36,0.361,0.364,0.369,0.378,0.398,0.423,0.442,0.45,0.45,0.448,0.442,0.434,0.425,0.421,0.418,0.411,0.402,0.397,0.401,0.407,0.417,0.438,0.479,0.53,0.572,0.589,0.584,0.567,0.542,0.512,0.484,0.467,0.463,0.466,0.469,0.471,0.474,0.474,0.47,0.463,0.46,0.459,0.458,0.456,0.458,0.463,0.466,0.464,0.456,0.451,0.448,0.448,0.453,0.467,0.491,0.511,0.521,0.519,0.515,0.51,0.502,0.488,0.476,0.47,0.468,0.468,0.466,0.465,0.462,0.457,0.452,0.449,0.449,0.447,0.441,0.438,0.443,0.455,0.464,0.467,0.466,0.464,0.459,0.45,0.442,0.442,0.449,0.453,0.447,0.437,0.431,0.431,0.437,0.448,0.46,0.467,0.462,0.451,0.444,0.448,0.458,0.469,0.474,0.475,0.472,0.466,0.46,0.459,0.46,0.456,0.446,0.438,0.438,0.444,0.449,0.451,0.455,0.463,0.468,0.465,0.457,0.452,0.45,0.45,0.448,0.447,0.451,0.458,0.465,0.47,0.476,0.479,0.478,0.475,0.475,0.479,0.482,0.48,0.476,0.474,0.473,0.468,0.457,0.445,0.436,0.432,0.435,0.446,0.466,0.485,0.491,0.484,0.47,0.458,0.445,0.432,0.422,0.419,0.421,0.421,0.417,0.414,0.415,0.417,0.42,0.429,0.449,0.474,0.497,0.507,0.503,0.487,0.465,0.445,0.431,0.422,0.411,0.39,0.362,0.332,0.307,0.289,0.279,0.276,0.277,0.279,0.281,0.281,0.282,0.283,0.284,0.285,0.285,0.284,0.283,0.28,0.274,0.267,0.26,0.261,0.272,0.286,0.295,0.292,0.279,0.263,0.25,0.239,0.231,0.224,0.217,0.209,0.201,0.195,0.191,0.189,0.189,0.19,0.192,0.193,0.193,0.192,0.191,0.19,0.19,0.191,0.193,0.197,0.201,0.205,0.212,0.219,0.225,0.227,0.23,0.242,0.274,0.33,0.407,0.487,0.549,0.584,0.599,0.606,0.61,0.612,0.61,0.61,0.615,0.619,0.617,0.612,0.611,0.614,0.614,0.613,0.615,0.619,0.62,0.614,0.605,0.603,0.606,0.609,0.61,0.612,0.618,0.621,0.62,0.619,0.624,0.631,0.631,0.624,0.618,0.618,0.619,0.617,0.617,0.621,0.625,0.625,0.621,0.619,0.623,0.625,0.621,0.614,0.613,0.616,0.617,0.617,0.619,0.625,0.629,0.627,0.624,0.627,0.633,0.636,0.633,0.63,0.63,0.628,0.621,0.613,0.613,0.618,0.622,0.62,0.62,0.624,0.626,0.622,0.616,0.617,0.621,0.623,0.623,0.624,0.628,0.627,0.618,0.608,0.606,0.61,0.613,0.611,0.61,0.611,0.611,0.606,0.6,0.6,0.604,0.605,0.603,0.603,0.606,0.606,0.602,0.599,0.602,0.61,0.616,0.618,0.62,0.625,0.627,0.623,0.618,0.618,0.621,0.62,0.615,0.613,0.616,0.618,0.616,0.613,0.616,0.62,0.621,0.619,0.62,0.623,0.615,0.581,0.516,0.434,0.358,0.314,0.322,0.38,0.464,0.539,0.586,0.609,0.629,0.66,0.704,0.745,0.767,0.756,0.717,0.671,0.639,0.629,0.63,0.63,0.624,0.62,0.621,0.621,0.617,0.614,0.615,0.618,0.617,0.612,0.608,0.608,0.608,0.606,0.605,0.61,0.617,0.618,0.612,0.605,0.603,0.603,0.602,0.605,0.612,0.619,0.621,0.62,0.623,0.629,0.631,0.626,0.619,0.618,0.622,0.627,0.631,0.639,0.65,0.653,0.647,0.638,0.637,0.641,0.643,0.642,0.641,0.643,0.642,0.637,0.632,0.632,0.633,0.626,0.614,0.606,0.607,0.61,0.612,0.613,0.617,0.622,0.622,0.62,0.622,0.627,0.628,0.622,0.614,0.611,0.613,0.614,0.614,0.617,0.622,0.625,0.622,0.619,0.62,0.624,0.624,0.622,0.622,0.627,0.629,0.626,0.622,0.624,0.629,0.629,0.625,0.624,0.628,0.631,0.631,0.629,0.632,0.635,0.633,0.625,0.62,0.62,0.621,0.621,0.624,0.633,0.641,0.641,0.635,0.63,0.631,0.633,0.631,0.63,0.633,0.636,0.635,0.63,0.626,0.623,0.607,0.563,0.492,0.407,0.335,0.299,0.315,0.378,0.463,0.535,0.577,0.593,0.597,0.6,0.608,0.619,0.633,0.642,0.641,0.632,0.623,0.623,0.625,0.625,0.623,0.626,0.631,0.632,0.626,0.619,0.618,0.622,0.624,0.624,0.626,0.629,0.629,0.624,0.618,0.62,0.626,0.629,0.63,0.633,0.638,0.637,0.63,0.624,0.629,0.639,0.644,0.643,0.641,0.643,0.643,0.639,0.636,0.638,0.641,0.638,0.632,0.629,0.631,0.632,0.631,0.63,0.636,0.641,0.639,0.632,0.626,0.625,0.623,0.618,0.614,0.617,0.623,0.626,0.626,0.629,0.634,0.636,0.633,0.631,0.635,0.641,0.641,0.635,0.631,0.631,0.631,0.628,0.625,0.628,0.632,0.633,0.629,0.627,0.628,0.629,0.626,0.624,0.627,0.631,0.628,0.621,0.616,0.618,0.62,0.619,0.619,0.624,0.628,0.629,0.625,0.626,0.631,0.632,0.625,0.617,0.616,0.622,0.626,0.624,0.622,0.622,0.623,0.624,0.629,0.637,0.644,0.642,0.634,0.629,0.628,0.628,0.624,0.62,0.62,0.624,0.627,0.629,0.634,0.638,0.627,0.586,0.519,0.442,0.377,0.347,0.362,0.419,0.493,0.557,0.595,0.614,0.631,0.659,0.697,0.73,0.745,0.732,0.698,0.66,0.635,0.628,0.63,0.629,0.625,0.623,0.625,0.626,0.621,0.617,0.618,0.621,0.623,0.623,0.626,0.631,0.631,0.626,0.622,0.626,0.631,0.63,0.625,0.62,0.62,0.62,0.617,0.615,0.618,0.623,0.623,0.622,0.623,0.628,0.627,0.62,0.61,0.606,0.607,0.61,0.613,0.62,0.627,0.629,0.625,0.621,0.624,0.63,0.633,0.634,0.637,0.64,0.639,0.633,0.628,0.63,0.634,0.637,0.639,0.643,0.648,0.646,0.636,0.628,0.628,0.632,0.634,0.634,0.637,0.639,0.636,0.624,0.612,0.608,0.608,0.607,0.605,0.606,0.61,0.613,0.613,0.616,0.625,0.633,0.634,0.629,0.626,0.626,0.624,0.62,0.618,0.621,0.626,0.626,0.623,0.624,0.626,0.626,0.619,0.615,0.617,0.62,0.617,0.61,0.606,0.608,0.61,0.61,0.61,0.615,0.619,0.619,0.616,0.618,0.621,0.622,0.616,0.611,0.613,0.616,0.615,0.611,0.61,0.609,0.594,0.551,0.478,0.39,0.316,0.281,0.303,0.372,0.456,0.513,0.518,0.475,0.412,0.359,0.343,0.379,0.462,0.567,0.656,0.696,0.685,0.643,0.601,0.574,0.558,0.538,0.501,0.45,0.394,0.349,0.32,0.304,0.294,0.285,0.277,0.273,0.275,0.278,0.277,0.27,0.257,0.241,0.226,0.214,0.208,0.209,0.216,0.228,0.24,0.25,0.256,0.26,0.262,0.263,0.258,0.248,0.233,0.217,0.203,0.193,0.186,0.181,0.177,0.175,0.176,0.18,0.186,0.192,0.198,0.204,0.213,0.223,0.234,0.242,0.248,0.249,0.248,0.243,0.235,0.226,0.218,0.214,0.214,0.213,0.209,0.203,0.197,0.193,0.193,0.195,0.199,0.202,0.206,0.212,0.221,0.23,0.237,0.24,0.238,0.233,0.226,0.218,0.209,0.201,0.197,0.195,0.195,0.195,0.194,0.193,0.193,0.193,0.196,0.198,0.201,0.203,0.207,0.215,0.226,0.238,0.247,0.251,0.25,0.245,0.237,0.228,0.219,0.21,0.203,0.198,0.195,0.192,0.187,0.181,0.176,0.177,0.182,0.189,0.195,0.199,0.203,0.21,0.218,0.227,0.233,0.236,0.234,0.228,0.22,0.211,0.202,0.196,0.191,0.187,0.182,0.176,0.173,0.181,0.207,0.253,0.309,0.356,0.384,0.394,0.399,0.402,0.402,0.4,0.401,0.408,0.416,0.417,0.41,0.405,0.405,0.406,0.407,0.409,0.413,0.415,0.413,0.41,0.409,0.41,0.407,0.4,0.395,0.395,0.398,0.401,0.407,0.42,0.433,0.436,0.429,0.421,0.42,0.422,0.419,0.409,0.397,0.387,0.377,0.369,0.365,0.369,0.373,0.374,0.373,0.377,0.384,0.387,0.384,0.383,0.39,0.402,0.413,0.419,0.426,0.432,0.431,0.423,0.413,0.408,0.405,0.403,0.401,0.403,0.405,0.403,0.396,0.392,0.398,0.409,0.417,0.421,0.424,0.425,0.421,0.415,0.412,0.418,0.425,0.429,0.428,0.425,0.419,0.41,0.4,0.398,0.406,0.416,0.42,0.418,0.419,0.424,0.429,0.433,0.437,0.441,0.442,0.437,0.429,0.425,0.422,0.419,0.415,0.414,0.418,0.42,0.416,0.409,0.406,0.405,0.402,0.396,0.393,0.397,0.402,0.401,0.397,0.395,0.395,0.395,0.397,0.406,0.424,0.44,0.447,0.442,0.436,0.43,0.423,0.415,0.408,0.407,0.406,0.404,0.4,0.399,0.401,0.401,0.399,0.402,0.411,0.421,0.428,0.429,0.43,0.43,0.428,0.425,0.427,0.434,0.439,0.435,0.423,0.409,0.398,0.391,0.389,0.397,0.412,0.425,0.428,0.425,0.422,0.421,0.417,0.409,0.402,0.4,0.401,0.403,0.408,0.417,0.426,0.425,0.416,0.409,0.413,0.423,0.431,0.431,0.428,0.421,0.412,0.403,0.399,0.402,0.404,0.404,0.401,0.403,0.406,0.405,0.399,0.395,0.398,0.405,0.414,0.425,0.439,0.452,0.453,0.442,0.427,0.416,0.408,0.403,0.4,0.402,0.406,0.405,0.4,0.399,0.41,0.426,0.44,0.447,0.45,0.45,0.448,0.445,0.446,0.455,0.464,0.468,0.464,0.458,0.448,0.434,0.421,0.415,0.418,0.42,0.417,0.411,0.409,0.413,0.42,0.426,0.431,0.434,0.431,0.424,0.418,0.42,0.427,0.433,0.434,0.437,0.444,0.45,0.452,0.449,0.446,0.439,0.427,0.411,0.401,0.4,0.402,0.403,0.404,0.407,0.413,0.419,0.425,0.44,0.465,0.49,0.506,0.507,0.501,0.489,0.474,0.456,0.442,0.435,0.429,0.422,0.415,0.415,0.417,0.421,0.43,0.457,0.504,0.559,0.598,0.61,0.597,0.571,0.543,0.519,0.499,0.482,0.465,0.445,0.419,0.39,0.361,0.338,0.32,0.305,0.291,0.277,0.263,0.252,0.244,0.238,0.234,0.229,0.219,0.206,0.19,0.175,0.165,0.159,0.156,0.156,0.158,0.16,0.162,0.166,0.172,0.178,0.182,0.185,0.186,0.186,0.185,0.183,0.183,0.184,0.185,0.183,0.181,0.178,0.175,0.173,0.17,0.166,0.16,0.153,0.146,0.142,0.14,0.141,0.142,0.144,0.146,0.15,0.151,0.15,0.151,0.162,0.195,0.251,0.322,0.386,0.428,0.442,0.434,0.412,0.387,0.369,0.358,0.349,0.333,0.307,0.276,0.25,0.23,0.216,0.207,0.201,0.198,0.195,0.193,0.193,0.195,0.198,0.201,0.204,0.205,0.204,0.202,0.2,0.196,0.194,0.195,0.204,0.22,0.236,0.243,0.236,0.218,0.2,0.187,0.179,0.177,0.181,0.191,0.207,0.219,0.224,0.221,0.218,0.218,0.222,0.224,0.221,0.213,0.201,0.19,0.181,0.175,0.171,0.169,0.169,0.172,0.178,0.188,0.197,0.204,0.209,0.217,0.238,0.281,0.349,0.433,0.513,0.568,0.596,0.609,0.617,0.621,0.621,0.62,0.623,0.628,0.628,0.625,0.625,0.63,0.635,0.636,0.637,0.641,0.644,0.64,0.631,0.624,0.623,0.623,0.618,0.612,0.612,0.615,0.617,0.616,0.617,0.623,0.626,0.623,0.615,0.611,0.612,0.612,0.612,0.615,0.62,0.622,0.619,0.615,0.616,0.621,0.623,0.621,0.621,0.624,0.625,0.621,0.616,0.617,0.615,0.595,0.546,0.476,0.404,0.353,0.342,0.374,0.439,0.509,0.563,0.592,0.604,0.611,0.618,0.625,0.634,0.643,0.646,0.639,0.627,0.62,0.622,0.626,0.626,0.626,0.631,0.636,0.634,0.626,0.621,0.622,0.623,0.62,0.614,0.613,0.615,0.615,0.611,0.61,0.615,0.62,0.62,0.618,0.62,0.623,0.623,0.62,0.619,0.623,0.626,0.626,0.624,0.627,0.63,0.629,0.624,0.621,0.624,0.624,0.619,0.612,0.611,0.614,0.616,0.615,0.616,0.622,0.626,0.626,0.626,0.632,0.634,0.615,0.563,0.486,0.405,0.347,0.331,0.364,0.432,0.508,0.565,0.592,0.599,0.6,0.605,0.616,0.634,0.652,0.66,0.657,0.648,0.645,0.647,0.649,0.645,0.641,0.641,0.644,0.644,0.639,0.638,0.642,0.647,0.649,0.651,0.656,0.658,0.651,0.638,0.629,0.625,0.624,0.62,0.614,0.613,0.614,0.614,0.613,0.616,0.624,0.629,0.63,0.629,0.633,0.637,0.637,0.633,0.632,0.635,0.637,0.633,0.627,0.625,0.626,0.626,0.626,0.631,0.639,0.642,0.638,0.631,0.628,0.623,0.603,0.555,0.487,0.417,0.37,0.364,0.403,0.471,0.541,0.589,0.609,0.613,0.614,0.619,0.629,0.645,0.663,0.673,0.671,0.66,0.652,0.649,0.645,0.637,0.63,0.628,0.629,0.627,0.622,0.619,0.62,0.622,0.62,0.62,0.625,0.631,0.632,0.628,0.626,0.628,0.629,0.624,0.619,0.619,0.624,0.627,0.626,0.628,0.632,0.635,0.631,0.626,0.625,0.626,0.626,0.624,0.626,0.632,0.636,0.634,0.632,0.635,0.64,0.64,0.637,0.638,0.644,0.647,0.645,0.641,0.641,0.634,0.606,0.545,0.463,0.381,0.327,0.322,0.369,0.451,0.536,0.596,0.624,0.632,0.633,0.634,0.638,0.646,0.655,0.658,0.65,0.636,0.627,0.626,0.628,0.628,0.627,0.631,0.634,0.631,0.625,0.621,0.623,0.626,0.627,0.627,0.631,0.635,0.632,0.626,0.624,0.628,0.631,0.631,0.631,0.637,0.644,0.645,0.64,0.638,0.642,0.648,0.65,0.65,0.65,0.649,0.642,0.632,0.625,0.625,0.626,0.624,0.623,0.627,0.634,0.636,0.635,0.637,0.643,0.646,0.644,0.643,0.644,0.64,0.614,0.558,0.485,0.417,0.376,0.376,0.418,0.485,0.549,0.591,0.608,0.615,0.622,0.632,0.641,0.649,0.654,0.653,0.646,0.639,0.638,0.644,0.646,0.641,0.634,0.632,0.633,0.632,0.631,0.634,0.639,0.638,0.628,0.616,0.611,0.612,0.611,0.609,0.608,0.611,0.614,0.614,0.615,0.62,0.624,0.624,0.623,0.626,0.635,0.64,0.639,0.636,0.637,0.639,0.635,0.626,0.62,0.619,0.621,0.622,0.624,0.629,0.634,0.633,0.628,0.629,0.636,0.643,0.647,0.651,0.657,0.66,0.651,0.63,0.607,0.583,0.559,0.54,0.535,0.551,0.58,0.604,0.619,0.634,0.66,0.698,0.737,0.759,0.754,0.723,0.68,0.643,0.625,0.623,0.626,0.627,0.627,0.629,0.631,0.63,0.628,0.631,0.636,0.637,0.631,0.625,0.623,0.623,0.619,0.612,0.61,0.613,0.616,0.615,0.615,0.619,0.624,0.625,0.622,0.623,0.627,0.631,0.632,0.633,0.639,0.645,0.645,0.642,0.641,0.643,0.644,0.641,0.64,0.643,0.645,0.642,0.634,0.63,0.632,0.634,0.631,0.628,0.628,0.622,0.593,0.535,0.46,0.389,0.348,0.351,0.398,0.472,0.541,0.584,0.598,0.597,0.595,0.6,0.613,0.631,0.649,0.66,0.661,0.657,0.657,0.658,0.655,0.645,0.637,0.636,0.637,0.633,0.625,0.621,0.622,0.624,0.622,0.619,0.621,0.624,0.624,0.622,0.623,0.629,0.632,0.631,0.632,0.636,0.641,0.64,0.637,0.636,0.638,0.637,0.631,0.626,0.628,0.633,0.635,0.633,0.632,0.633,0.629,0.62,0.611,0.609,0.612,0.615,0.617,0.62,0.626,0.628,0.627,0.626,0.627,0.622,0.593,0.534,0.456,0.381,0.337,0.338,0.386,0.459,0.523,0.547,0.526,0.476,0.425,0.4,0.411,0.458,0.522,0.582,0.622,0.643,0.655,0.66,0.658,0.649,0.64,0.637,0.637,0.632,0.622,0.614,0.61,0.608,0.608,0.613,0.622,0.627,0.622,0.609,0.6,0.598,0.599,0.6,0.605,0.616,0.627,0.632,0.634,0.64,0.648,0.65,0.643,0.631,0.623,0.617,0.612,0.607,0.609,0.616,0.621,0.623,0.626,0.632,0.636,0.632,0.625,0.62,0.621,0.622,0.62,0.621,0.623,0.616,0.583,0.519,0.435,0.355,0.306,0.306,0.356,0.435,0.51,0.557,0.575,0.578,0.578,0.584,0.595,0.61,0.624,0.628,0.62,0.608,0.601,0.6,0.598,0.591,0.585,0.584,0.586,0.587,0.59,0.597,0.607,0.612,0.609,0.606,0.607,0.608,0.605,0.602,0.607,0.616,0.621,0.618,0.616,0.618,0.623,0.621,0.615,0.613,0.614,0.616,0.615,0.615,0.619,0.622,0.617,0.609,0.606,0.609,0.611,0.608,0.604,0.602,0.6,0.597,0.597,0.604,0.616,0.623,0.621,0.614,0.605,0.587,0.55,0.489,0.414,0.345,0.307,0.315,0.37,0.449,0.522,0.567,0.585,0.589,0.593,0.6,0.61,0.62,0.624,0.62,0.611,0.604,0.608,0.616,0.622,0.621,0.619,0.621,0.623,0.624,0.625,0.631,0.638,0.64,0.633,0.624,0.617,0.61,0.601,0.593,0.592,0.595,0.595,0.59,0.586,0.586,0.586,0.581,0.573,0.573,0.578,0.581,0.58,0.578,0.581,0.587,0.593,0.599,0.611,0.624,0.631,0.63,0.627,0.625,0.62,0.609,0.597,0.594,0.598,0.601,0.597,0.592,0.587,0.576,0.544,0.485,0.408,0.337,0.298,0.307,0.365,0.447,0.519,0.562,0.574,0.573,0.573,0.582,0.598,0.617,0.629,0.628,0.616,0.605,0.603,0.609,0.613,0.611,0.609,0.611,0.611,0.607,0.601,0.6,0.601,0.601,0.601,0.605,0.616,0.624,0.623,0.617,0.616,0.619,0.62,0.616,0.611,0.608,0.605,0.597,0.588,0.585,0.586,0.586,0.585,0.589,0.6,0.611,0.613,0.609,0.605,0.602,0.596,0.586,0.578,0.577,0.58,0.584,0.589,0.599,0.61,0.615,0.613,0.61,0.606,0.592,0.554,0.487,0.405,0.331,0.29,0.298,0.353,0.431,0.501,0.542,0.555,0.558,0.564,0.584,0.613,0.647,0.674,0.678,0.651,0.591,0.511,0.43,0.366,0.327,0.307,0.29,0.263,0.227,0.192,0.165,0.145,0.13,0.117,0.109,0.104,0.102,0.1,0.099,0.097,0.096,0.095,0.093,0.088,0.084,0.083,0.085,0.088,0.092,0.096,0.101,0.105,0.106,0.099,0.088,0.076,0.066,0.058,0.051,0.046,0.042,0.039,0.036,0.032,0.027,0.021,0.017,0.014,0.012,0.01,0.009,0.008,0.007,0.007,0.006,0.006,0.005,0.005,0.004,0.004,0.003,0.003,0.002,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]