[0.616,0.598,0.568,0.545,0.537,0.535,0.534,0.535,0.542,0.55,0.559,0.564,0.57,0.569,0.561,0.546,0.537,0.531,0.527,0.52,0.517,0.517,0.515,0.512,0.513,0.524,0.54,0.553,0.559,0.561,0.556,0.547,0.536,0.535,0.537,0.538,0.535,0.534,0.533,0.53,0.526,0.526,0.537,0.551,0.561,0.564,0.562,0.554,0.542,0.531,0.529,0.529,0.529,0.523,0.522,0.522,0.519,0.514,0.515,0.527,0.543,0.556,0.561,0.561,0.551,0.538,0.527,0.528,0.534,0.54,0.543,0.553,0.567,0.583,0.592,0.596,0.596,0.592,0.585,0.577,0.57,0.558,0.544,0.531,0.527,0.525,0.522,0.517,0.518,0.52,0.52,0.516,0.518,0.529,0.544,0.555,0.561,0.564,0.56,0.552,0.543,0.541,0.54,0.538,0.534,0.54,0.554,0.575,0.592,0.605,0.607,0.6,0.588,0.577,0.568,0.555,0.541,0.531,0.528,0.525,0.52,0.515,0.518,0.522,0.522,0.518,0.522,0.533,0.548,0.558,0.565,0.567,0.562,0.553,0.544,0.541,0.537,0.532,0.527,0.528,0.529,0.528,0.527,0.536,0.553,0.574,0.591,0.606,0.619,0.623,0.617,0.602,0.582,0.557,0.534,0.518,0.514,0.512,0.51,0.508,0.518,0.534,0.551,0.56,0.566,0.566,0.558,0.544,0.534,0.53,0.528,0.523,0.519,0.521,0.526,0.535,0.55,0.577,0.605,0.63,0.645,0.653,0.654,0.648,0.636,0.618,0.595,0.567,0.541,0.525,0.521,0.518,0.514,0.511,0.519,0.533,0.547,0.556,0.564,0.566,0.559,0.545,0.537,0.534,0.533,0.529,0.527,0.527,0.528,0.528,0.532,0.546,0.565,0.586,0.606,0.63,0.647,0.652,0.641,0.619,0.591,0.561,0.536,0.524,0.52,0.518,0.514,0.513,0.523,0.537,0.549,0.555,0.56,0.558,0.552,0.541,0.536,0.534,0.532,0.526,0.524,0.527,0.537,0.55,0.567,0.586,0.601,0.608,0.61,0.615,0.619,0.621,0.615,0.602,0.581,0.555,0.532,0.522,0.519,0.518,0.514,0.516,0.527,0.542,0.554,0.558,0.558,0.551,0.541,0.535,0.545,0.563,0.582,0.593,0.605,0.617,0.628,0.634,0.638,0.646,0.656,0.666,0.671,0.675,0.675,0.672,0.662,0.642,0.609,0.572,0.541,0.529,0.527,0.526,0.522,0.523,0.534,0.548,0.558,0.564,0.566,0.561,0.554,0.551,0.559,0.571,0.58,0.581,0.584,0.591,0.604,0.616,0.629,0.645,0.666,0.684,0.693,0.696,0.693,0.69,0.679,0.654,0.611,0.565,0.532,0.522,0.522,0.521,0.517,0.52,0.532,0.548,0.559,0.566,0.568,0.562,0.554,0.551,0.56,0.574,0.587,0.598,0.615,0.639,0.663,0.681,0.694,0.703,0.707,0.707,0.704,0.7,0.696,0.689,0.677,0.657,0.629,0.602,0.583,0.581,0.588,0.598,0.608,0.62,0.633,0.643,0.648,0.649,0.647,0.642,0.636,0.629,0.62,0.61,0.6,0.598,0.612,0.639,0.672,0.7,0.718,0.723,0.717,0.705,0.693,0.685,0.678,0.67,0.658,0.64,0.616,0.593,0.58,0.581,0.591,0.605,0.619,0.633,0.642,0.646,0.645,0.645,0.644,0.641,0.634,0.626,0.616,0.603,0.588,0.58,0.583,0.593,0.607,0.619,0.628,0.63,0.628,0.626,0.629,0.635,0.64,0.638,0.634,0.625,0.612,0.597,0.589,0.592,0.605,0.62,0.632,0.64,0.641,0.639,0.637,0.642,0.646,0.646,0.639,0.631,0.619,0.603,0.586,0.576,0.579,0.591,0.605,0.614,0.621,0.623,0.625,0.629,0.638,0.643,0.643,0.637,0.632,0.625,0.613,0.596,0.588,0.592,0.606,0.62,0.63,0.636,0.637,0.638,0.64,0.644,0.645,0.643,0.637,0.636,0.632,0.623,0.607,0.596,0.594,0.6,0.608,0.616,0.629,0.646,0.664,0.677,0.684,0.686,0.685,0.68,0.67,0.651,0.628,0.604,0.593,0.594,0.607,0.623,0.642,0.661,0.677,0.688,0.692,0.691,0.688,0.687,0.682,0.672,0.649,0.622,0.6,0.597,0.608,0.628,0.646,0.662,0.676,0.687,0.694,0.695,0.691,0.682,0.671,0.658,0.644,0.626,0.608,0.597,0.605,0.624,0.644,0.655,0.661,0.67,0.683,0.694,0.698,0.697,0.692,0.687,0.679,0.667,0.645,0.621,0.605,0.608,0.625,0.646,0.664,0.678,0.691,0.701,0.705,0.705,0.703,0.701,0.696,0.686,0.668,0.644,0.618,0.599,0.593,0.596,0.606,0.62,0.64,0.665,0.687,0.699,0.7,0.695,0.688,0.68,0.67,0.655,0.633,0.613,0.601,0.604,0.617,0.637,0.657,0.678,0.695,0.709,0.714,0.713,0.708,0.7,0.689,0.675,0.657,0.634,0.613,0.605,0.613,0.637,0.668,0.697,0.719,0.729,0.728,0.72,0.713,0.708,0.705,0.698,0.685,0.665,0.64,0.617,0.605,0.606,0.615,0.625,0.636,0.652,0.674,0.694,0.705,0.704,0.694,0.682,0.672,0.661,0.646,0.626,0.605,0.592,0.595,0.613,0.638,0.662,0.682,0.692,0.694,0.692,0.691,0.691,0.69,0.685,0.675,0.658,0.638,0.619,0.612,0.618,0.631,0.646,0.662,0.684,0.709,0.732,0.744,0.745,0.736,0.723,0.704,0.684,0.659,0.635,0.613,0.602,0.602,0.61,0.619,0.628,0.639,0.652,0.666,0.676,0.679,0.666,0.628,0.56,0.471,0.378,0.299,0.244,0.211,0.192,0.183,0.179,0.177,0.177,0.176,0.173,0.165,0.154,0.138,0.12,0.102,0.085,0.071,0.06,0.053,0.048,0.045,0.042,0.04,0.038,0.036,0.034,0.033,0.034,0.041,0.054,0.074,0.098,0.12,0.136,0.146,0.152,0.155,0.159,0.162,0.166,0.168,0.168,0.164,0.156,0.144,0.129,0.111,0.095,0.081,0.071,0.063,0.057,0.052,0.048,0.045,0.043,0.041,0.04,0.038,0.036,0.035,0.034,0.041,0.067,0.128,0.226,0.341,0.44,0.504,0.537,0.555,0.564,0.569,0.568,0.57,0.572,0.574,0.575,0.575,0.575,0.568,0.556,0.547,0.548,0.554,0.56,0.566,0.576,0.589,0.601,0.609,0.609,0.6,0.587,0.576,0.572,0.57,0.562,0.547,0.532,0.523,0.52,0.522,0.53,0.544,0.556,0.562,0.562,0.562,0.565,0.568,0.572,0.576,0.576,0.568,0.553,0.539,0.53,0.523,0.518,0.516,0.519,0.523,0.527,0.535,0.549,0.56,0.567,0.569,0.573,0.573,0.568,0.559,0.557,0.561,0.565,0.564,0.56,0.554,0.544,0.53,0.519,0.519,0.527,0.541,0.555,0.569,0.576,0.572,0.561,0.557,0.562,0.572,0.579,0.58,0.577,0.568,0.558,0.55,0.55,0.554,0.561,0.568,0.577,0.58,0.575,0.563,0.556,0.552,0.55,0.543,0.535,0.528,0.52,0.514,0.515,0.525,0.539,0.552,0.56,0.568,0.568,0.563,0.555,0.555,0.558,0.556,0.547,0.539,0.54,0.546,0.553,0.558,0.564,0.566,0.567,0.564,0.564,0.559,0.553,0.546,0.55,0.56,0.568,0.564,0.557,0.55,0.545,0.541,0.542,0.548,0.554,0.559,0.56,0.56,0.555,0.549,0.547,0.559,0.578,0.594,0.598,0.592,0.582,0.572,0.565,0.564,0.568,0.57,0.568,0.566,0.564,0.557,0.548,0.541,0.546,0.556,0.564,0.564,0.565,0.566,0.566,0.562,0.561,0.565,0.57,0.575,0.577,0.577,0.569,0.556,0.542,0.536,0.533,0.533,0.536,0.549,0.563,0.57,0.564,0.557,0.556,0.559,0.564,0.568,0.569,0.563,0.554,0.551,0.563,0.578,0.583,0.571,0.553,0.541,0.543,0.555,0.57,0.578,0.578,0.574,0.573,0.572,0.566,0.557,0.552,0.557,0.564,0.565,0.555,0.543,0.533,0.533,0.539,0.552,0.562,0.566,0.565,0.565,0.565,0.56,0.549,0.541,0.54,0.542,0.542,0.537,0.534,0.529,0.529,0.532,0.542,0.552,0.559,0.563,0.567,0.569,0.565,0.556,0.549,0.547,0.544,0.541,0.541,0.55,0.559,0.563,0.562,0.562,0.564,0.568,0.569,0.572,0.572,0.567,0.559,0.557,0.559,0.552,0.525,0.485,0.461,0.469,0.503,0.537,0.557,0.563,0.571,0.58,0.591,0.602,0.624,0.651,0.666,0.647,0.591,0.518,0.458,0.437,0.456,0.499,0.536,0.557,0.565,0.575,0.584,0.593,0.601,0.62,0.646,0.661,0.64,0.581,0.505,0.445,0.424,0.445,0.487,0.523,0.542,0.551,0.565,0.581,0.596,0.609,0.632,0.658,0.67,0.643,0.579,0.499,0.436,0.416,0.44,0.487,0.53,0.557,0.571,0.582,0.587,0.587,0.592,0.616,0.649,0.669,0.647,0.589,0.519,0.47,0.461,0.487,0.525,0.553,0.566,0.572,0.579,0.583,0.585,0.591,0.616,0.649,0.668,0.647,0.589,0.517,0.465,0.45,0.473,0.51,0.538,0.552,0.559,0.569,0.578,0.585,0.597,0.625,0.656,0.672,0.646,0.586,0.514,0.467,0.461,0.492,0.534,0.563,0.575,0.58,0.586,0.591,0.595,0.604,0.627,0.652,0.659,0.629,0.571,0.507,0.47,0.469,0.5,0.535,0.557,0.565,0.576,0.593,0.61,0.621,0.632,0.65,0.667,0.663,0.625,0.562,0.499,0.466,0.471,0.506,0.544,0.57,0.579,0.587,0.599,0.612,0.624,0.639,0.659,0.672,0.663,0.619,0.554,0.49,0.455,0.46,0.495,0.534,0.561,0.573,0.584,0.598,0.611,0.622,0.637,0.659,0.675,0.667,0.625,0.562,0.501,0.472,0.48,0.517,0.554,0.579,0.589,0.601,0.616,0.632,0.643,0.658,0.675,0.684,0.666,0.615,0.545,0.482,0.455,0.47,0.51,0.548,0.569,0.576,0.586,0.597,0.607,0.615,0.631,0.653,0.668,0.656,0.611,0.547,0.489,0.46,0.468,0.501,0.536,0.56,0.574,0.592,0.612,0.631,0.645,0.662,0.678,0.681,0.655,0.6,0.531,0.478,0.46,0.479,0.517,0.549,0.566,0.574,0.586,0.598,0.609,0.617,0.634,0.657,0.669,0.649,0.597,0.532,0.483,0.469,0.488,0.524,0.553,0.567,0.574,0.584,0.595,0.606,0.614,0.631,0.649,0.653,0.623,0.561,0.486,0.432,0.418,0.448,0.498,0.542,0.568,0.58,0.592,0.602,0.609,0.615,0.627,0.638,0.631,0.594,0.537,0.477,0.43,0.396,0.375,0.363,0.359,0.36,0.362,0.362,0.359,0.352,0.339,0.325,0.315,0.315,0.323,0.335,0.343,0.345,0.341,0.335,0.328,0.322,0.318,0.314,0.309,0.302,0.298,0.298,0.309,0.327,0.353,0.383,0.414,0.437,0.448,0.443,0.426,0.404,0.384,0.371,0.364,0.361,0.355,0.347,0.337,0.328,0.321,0.315,0.309,0.305,0.301,0.3,0.297,0.296,0.298,0.306,0.32,0.337,0.351,0.357,0.354,0.345,0.34,0.346,0.363,0.385,0.401,0.407,0.406,0.4,0.396,0.394,0.396,0.398,0.396,0.388,0.379,0.371,0.366,0.365,0.367,0.37,0.371,0.369,0.361,0.351,0.338,0.326,0.316,0.311,0.31,0.313,0.317,0.321,0.324,0.328,0.338,0.354,0.376,0.396,0.41,0.414,0.412,0.404,0.395,0.383,0.37,0.357,0.348,0.342,0.337,0.33,0.318,0.303,0.29,0.281,0.279,0.28,0.282,0.284,0.287,0.296,0.307,0.323,0.336,0.346,0.353,0.36,0.367,0.381,0.411,0.459,0.514,0.555,0.573,0.577,0.583,0.595,0.611,0.623,0.631,0.636,0.638,0.637,0.639,0.639,0.638,0.631,0.621,0.61,0.598,0.586,0.571,0.558,0.545,0.54,0.541,0.549,0.556,0.567,0.579,0.592,0.597,0.597,0.598,0.605,0.609,0.602,0.58,0.556,0.539,0.537,0.549,0.568,0.585,0.593,0.593,0.596,0.603,0.609,0.607,0.6,0.591,0.577,0.555,0.531,0.519,0.523,0.536,0.549,0.56,0.569,0.575,0.581,0.59,0.601,0.607,0.605,0.6,0.6,0.602,0.602,0.597,0.594,0.598,0.608,0.62,0.63,0.638,0.642,0.644,0.644,0.645,0.642,0.633,0.616,0.597,0.576,0.558,0.545,0.541,0.545,0.555,0.568,0.579,0.584,0.582,0.581,0.583,0.587,0.584,0.581,0.582,0.589,0.589,0.578,0.562,0.556,0.563,0.578,0.591,0.599,0.604,0.606,0.608,0.612,0.612,0.605,0.595,0.588,0.587,0.583,0.57,0.555,0.556,0.574,0.6,0.62,0.63,0.628,0.62,0.614,0.612,0.613,0.61,0.606,0.608,0.619,0.628,0.626,0.613,0.603,0.603,0.614,0.626,0.637,0.645,0.65,0.654,0.657,0.658,0.653,0.643,0.625,0.605,0.58,0.561,0.551,0.555,0.567,0.584,0.598,0.606,0.605,0.6,0.599,0.601,0.603,0.6,0.598,0.601,0.606,0.6,0.587,0.574,0.575,0.589,0.609,0.627,0.637,0.638,0.633,0.626,0.623,0.62,0.615,0.608,0.603,0.598,0.589,0.577,0.572,0.578,0.586,0.589,0.585,0.582,0.584,0.591,0.601,0.613,0.622,0.626,0.626,0.625,0.624,0.617,0.608,0.602,0.607,0.617,0.627,0.634,0.639,0.642,0.643,0.642,0.642,0.642,0.64,0.634,0.625,0.612,0.595,0.576,0.557,0.547,0.552,0.572,0.598,0.617,0.62,0.615,0.61,0.61,0.608,0.601,0.594,0.591,0.586,0.576,0.564,0.561,0.568,0.58,0.592,0.6,0.606,0.608,0.608,0.61,0.616,0.621,0.621,0.618,0.615,0.606,0.589,0.566,0.55,0.546,0.553,0.565,0.578,0.589,0.597,0.601,0.609,0.619,0.625,0.625,0.626,0.635,0.647,0.651,0.642,0.627,0.616,0.613,0.618,0.627,0.639,0.65,0.658,0.663,0.667,0.669,0.668,0.658,0.64,0.613,0.582,0.556,0.542,0.541,0.546,0.554,0.563,0.576,0.589,0.604,0.614,0.62,0.617,0.618,0.623,0.633,0.634,0.623,0.605,0.591,0.583,0.58,0.579,0.583,0.595,0.612,0.629,0.64,0.643,0.638,0.63,0.623,0.621,0.616,0.605,0.588,0.575,0.569,0.572,0.579,0.592,0.608,0.626,0.64,0.646,0.641,0.629,0.618,0.617,0.627,0.636,0.632,0.616,0.599,0.589,0.588,0.593,0.604,0.622,0.644,0.662,0.671,0.671,0.665,0.653,0.634,0.609,0.58,0.557,0.545,0.55,0.564,0.581,0.594,0.603,0.608,0.611,0.617,0.622,0.624,0.62,0.617,0.615,0.614,0.604,0.59,0.578,0.581,0.593,0.609,0.62,0.63,0.639,0.649,0.656,0.658,0.653,0.642,0.631,0.623,0.617,0.608,0.596,0.588,0.593,0.609,0.63,0.649,0.661,0.666,0.666,0.663,0.659,0.652,0.642,0.632,0.625,0.619,0.61,0.601,0.594,0.594,0.598,0.603,0.609,0.621,0.638,0.656,0.668,0.674,0.673,0.667,0.653,0.632,0.607,0.583,0.568,0.562,0.563,0.563,0.564,0.565,0.574,0.585,0.601,0.613,0.623,0.625,0.625,0.628,0.634,0.638,0.631,0.616,0.601,0.595,0.597,0.602,0.609,0.617,0.627,0.635,0.642,0.646,0.644,0.637,0.626,0.618,0.613,0.606,0.595,0.585,0.578,0.576,0.58,0.591,0.608,0.625,0.637,0.645,0.648,0.644,0.635,0.63,0.635,0.644,0.648,0.642,0.632,0.629,0.639,0.656,0.672,0.682,0.682,0.678,0.674,0.675,0.678,0.678,0.671,0.657,0.634,0.608,0.586,0.574,0.573,0.579,0.589,0.597,0.604,0.608,0.614,0.617,0.621,0.619,0.62,0.622,0.625,0.618,0.599,0.578,0.569,0.573,0.583,0.59,0.597,0.608,0.624,0.639,0.647,0.646,0.637,0.624,0.614,0.607,0.599,0.586,0.573,0.57,0.579,0.595,0.61,0.624,0.636,0.645,0.651,0.653,0.647,0.635,0.621,0.615,0.617,0.618,0.613,0.602,0.599,0.607,0.624,0.64,0.655,0.665,0.671,0.672,0.67,0.671,0.673,0.674,0.663,0.639,0.602,0.568,0.546,0.544,0.552,0.563,0.573,0.588,0.61,0.636,0.658,0.669,0.669,0.661,0.654,0.647,0.633,0.604,0.569,0.544,0.546,0.567,0.596,0.619,0.637,0.653,0.669,0.681,0.687,0.685,0.676,0.665,0.653,0.635,0.607,0.575,0.551,0.55,0.565,0.586,0.603,0.62,0.64,0.661,0.677,0.682,0.677,0.665,0.653,0.645,0.637,0.626,0.61,0.598,0.597,0.606,0.621,0.639,0.661,0.683,0.7,0.705,0.703,0.699,0.693,0.68,0.655,0.621,0.584,0.557,0.545,0.549,0.561,0.575,0.586,0.597,0.605,0.618,0.632,0.648,0.66,0.667,0.668,0.661,0.641,0.608,0.573,0.55,0.549,0.565,0.594,0.625,0.654,0.675,0.684,0.682,0.675,0.663,0.65,0.637,0.624,0.607,0.583,0.559,0.545,0.547,0.559,0.576,0.594,0.615,0.636,0.654,0.662,0.664,0.657,0.649,0.641,0.637,0.633,0.624,0.612,0.604,0.608,0.623,0.643,0.661,0.671,0.67,0.665,0.665,0.674,0.686,0.692,0.681,0.657,0.623,0.589,0.566,0.56,0.566,0.574,0.58,0.585,0.594,0.603,0.615,0.624,0.637,0.651,0.665,0.671,0.666,0.64,0.603,0.566,0.548,0.55,0.567,0.588,0.61,0.631,0.649,0.661,0.666,0.663,0.653,0.641,0.631,0.621,0.604,0.579,0.555,0.545,0.549,0.562,0.574,0.592,0.621,0.656,0.686,0.698,0.696,0.691,0.692,0.692,0.676,0.634,0.582,0.541,0.527,0.531,0.538,0.54,0.543,0.552,0.562,0.57,0.574,0.575,0.566,0.552,0.537,0.531,0.527,0.523,0.518,0.522,0.526,0.528,0.524,0.525,0.533,0.546,0.557,0.565,0.57,0.568,0.56,0.549,0.544,0.539,0.534,0.529,0.533,0.539,0.545,0.547,0.551,0.557,0.565,0.569,0.571,0.57,0.562,0.549,0.536,0.529,0.523,0.518,0.514,0.521,0.527,0.528,0.523,0.525,0.535,0.549,0.561,0.569,0.571,0.564,0.551,0.538,0.533,0.531,0.53,0.53,0.536,0.542,0.545,0.544,0.548,0.556,0.567,0.574,0.579,0.578,0.568,0.552,0.538,0.531,0.525,0.52,0.516,0.519,0.521,0.52,0.516,0.522,0.535,0.552,0.564,0.574,0.577,0.572,0.56,0.549,0.544,0.54,0.536,0.533,0.535,0.535,0.532,0.53,0.537,0.549,0.562,0.57,0.576,0.574,0.564,0.549,0.537,0.531,0.526,0.52,0.518,0.52,0.521,0.518,0.515,0.522,0.535,0.55,0.561,0.571,0.574,0.567,0.552,0.539,0.526,0.499,0.447,0.377,0.307,0.252,0.215,0.186,0.161,0.137,0.119,0.106,0.098,0.09,0.082,0.072,0.061,0.051,0.042,0.036,0.032,0.029,0.026,0.024,0.022,0.02,0.019,0.017,0.016,0.015,0.015,0.019,0.033,0.062,0.103,0.146,0.179,0.194,0.197,0.194,0.186,0.172,0.15,0.128,0.113,0.109,0.114,0.116,0.11,0.095,0.077,0.06,0.049,0.041,0.036,0.032,0.028,0.025,0.023,0.02,0.018,0.016,0.015,0.014,0.014,0.02,0.037,0.069,0.111,0.152,0.182,0.196,0.198,0.192,0.18,0.161,0.14,0.122,0.114,0.116,0.122,0.123,0.115,0.098,0.077,0.059,0.046,0.038,0.033,0.029,0.026,0.023,0.021,0.019,0.017,0.015,0.014,0.012,0.011,0.01,0.009,0.009,0.008,0.008,0.007,0.006,0.006,0.005,0.005,0.005,0.004,0.004,0.004,0.003,0.003,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0,0,0,0,0,0,0,0,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]