{
    "keypoints_per_image": [
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        494,
        461,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        472,
        406,
        395,
        407,
        439,
        442,
        474,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        457,
        436,
        474,
        496,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        480,
        397,
        380,
        428,
        435,
        491,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        379,
        370,
        386,
        409,
        434,
        474,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        445,
        257,
        224,
        278,
        321,
        336,
        391,
        420,
        466,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        499,
        241,
        246,
        312,
        318,
        351,
        399,
        445,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        428,
        299,
        282,
        252,
        251,
        272,
        275,
        315,
        351,
        403,
        435,
        459,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        417,
        461,
        438,
        412,
        452,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        467,
        441,
        415,
        421,
        451,
        485,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        468,
        434,
        452,
        485,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        471,
        474,
        478,
        489,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        373,
        374,
        394,
        375,
        353,
        332,
        377,
        438,
        471,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        386,
        350,
        330,
        386,
        451,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        494,
        463,
        470,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        382,
        427,
        495,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        449,
        462,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        477,
        368,
        404,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        462,
        453,
        483,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        472,
        321,
        348,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        432,
        295,
        345,
        369,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        484,
        433,
        449,
        495,
        487,
        460,
        469,
        474,
        429,
        400,
        440,
        403,
        339,
        329,
        335,
        363,
        480,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        451,
        284,
        311,
        422,
        330,
        161,
        28,
        12,
        6,
        12,
        28,
        16,
        21,
        18,
        16,
        12,
        21,
        29,
        19,
        30,
        41,
        50,
        51,
        74,
        89,
        98,
        111,
        126,
        147,
        163,
        191,
        214,
        235,
        283,
        312,
        354,
        398,
        440,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500
    ],
    "motion_blur_per_image": [
        313.16518624269366,
        310.7148469864174,
        310.41179679335545,
        310.0692675587341,
        305.79560307479665,
        297.1207382056874,
        297.19347726985427,
        301.1729141336072,
        311.5452636619818,
        311.6348721631827,
        312.55737846739964,
        312.93843748030594,
        311.7054766139886,
        310.08142686550303,
        311.3911834376121,
        312.03031532757234,
        311.7336472800904,
        311.964178873564,
        310.9191840172266,
        311.7656394639878,
        312.6860778351123,
        311.5255855673036,
        303.5337087180426,
        298.37167136366,
        311.2709226650033,
        310.45459924335205,
        312.1539275896979,
        311.35507049178966,
        313.0256451542418,
        310.9973043203124,
        309.8801801189637,
        311.4503480986123,
        311.01984986294383,
        311.36395399208806,
        310.99510184842774,
        312.3422275921282,
        310.75907624337566,
        308.94142143279595,
        309.31170788382474,
        310.16974391276045,
        311.51991422096427,
        309.38526981175875,
        310.08461478720125,
        310.2020185790042,
        309.0346976264775,
        310.91520575456644,
        312.3446983500533,
        312.5876992383381,
        311.8666409795878,
        310.77545785094634,
        309.93027155408487,
        309.92915759390235,
        312.2542502078271,
        311.42502091644604,
        312.1403970958437,
        312.2508701903209,
        311.34812965184267,
        313.487076064975,
        312.00889322837077,
        312.37441219049776,
        310.27339659132656,
        310.99030523401996,
        311.3355285768439,
        312.07678566043865,
        310.20719219104143,
        313.1586139175226,
        311.3717704710562,
        311.43610387132395,
        313.74672017346234,
        312.7632074593982,
        313.0587145539878,
        312.3829332947196,
        299.28463360194314,
        299.4001041537684,
        310.15979447093014,
        312.3835036714235,
        314.674496509283,
        312.5988281122656,
        312.8052781388803,
        312.32229081507074,
        313.05801862890075,
        314.2736942858656,
        313.9690722634483,
        313.6720290082243,
        313.73593495584157,
        311.19245110685455,
        299.8844929101633,
        296.37128502778717,
        302.2169491459568,
        313.68123263322906,
        313.42172163355315,
        311.82701170535415,
        311.7748643280311,
        310.7546885333118,
        312.6904340119349,
        312.0438341034155,
        313.35296114069604,
        312.8077394121663,
        309.9854387126969,
        310.3755222798834,
        310.07981914921317,
        313.01984156975095,
        311.213038916463,
        313.2004144721138,
        313.4537449329937,
        300.0060561307406,
        303.6231589970822,
        313.06778862847017,
        310.8798466419927,
        311.4589026280763,
        312.6345131606869,
        311.09467809594713,
        312.2022040984459,
        313.52394057637275,
        311.06423464236116,
        310.70553020861587,
        313.4170318027695,
        312.4326081415182,
        311.9878641895894,
        311.8039684132387,
        311.9942881791431,
        312.06412505984736,
        312.870761714321,
        297.8106813937209,
        302.5663223102815,
        313.01177480631577,
        311.61936231854276,
        312.0717331111573,
        309.5824981423928,
        311.78811483919077,
        312.26299870887084,
        311.9129264223984,
        312.36063548814616,
        311.8291102418998,
        312.26189453120764,
        309.55282038860344,
        310.12144531244746,
        311.7966999320193,
        311.83052190821945,
        309.62801142683406,
        310.81405666299975,
        308.79862769592677,
        313.6375227861182,
        312.2461266537356,
        310.3606825027454,
        312.2727484531009,
        312.3439972363885,
        310.57350100425384,
        310.7901467438352,
        310.4926804744421,
        310.9703052649475,
        313.0306919108249,
        312.81135587723315,
        309.22831812483713,
        310.6510615355302,
        310.45541194428796,
        313.89999562831247,
        311.88454173894695,
        297.6963909636189,
        311.0495648721188,
        313.0793590466487,
        310.44011928830673,
        308.51427548710063,
        309.0092657674652,
        309.2749432140763,
        311.989679150362,
        309.7781322053881,
        309.349805029597,
        311.5995688385387,
        309.68113389687215,
        311.7639550690761,
        311.0408973410458,
        310.37043799043187,
        312.01721390254005,
        310.85346824152407,
        310.55837888404403,
        311.31421824599835,
        311.5105056418252,
        312.4202376301507,
        310.9626537114303,
        310.1839850309389,
        309.32496414763216,
        311.3697708871253,
        314.10833820100015,
        311.3822081133367,
        312.167321686554,
        310.50347654420153,
        310.9351804340596,
        311.70450156278235,
        310.8091333771296,
        311.0728956535554,
        309.1321252892767,
        313.67185726686927,
        310.79528643740207,
        311.66820274932184,
        309.96508494567763,
        309.22614818454923,
        312.0197080780312,
        308.5634769210468,
        310.4499388707728,
        313.7826703547222,
        313.4042028356146,
        310.4752813946007,
        311.6210951905422,
        312.51869785438356,
        312.41530445741665,
        310.0538913952759,
        313.049248711705,
        312.3365831012857,
        311.4845764612268,
        311.19474934893634,
        309.06245979867924,
        309.98337021162024,
        310.6690274152298,
        311.169385773534,
        311.0320185831316,
        309.8801761037975,
        312.3713613260898,
        311.40425316438336,
        311.3455290678456,
        311.626015981192,
        311.4945888733992,
        313.162853009257,
        313.6202640273477,
        311.2483965233223,
        312.54415968836076,
        313.6905438869643,
        312.1370514238099,
        312.8992491285954,
        310.6582052946989,
        296.56769747223564,
        311.1515834512825,
        311.3739954541995,
        308.97312789291357,
        313.65494646898435,
        310.31143444923384,
        311.90134693268175,
        310.9943941695026,
        311.15336005822905,
        312.0773295862456,
        312.0315606719584,
        311.96342803085963,
        297.8930074242014,
        312.21211079526813,
        311.81329751205334,
        313.1906567988135,
        312.59234119837555,
        312.5229242521153,
        314.5950690224413,
        313.3944078788065,
        301.43783022055595,
        296.65526908878235,
        295.69638164898913,
        296.4365070282734,
        312.34373263831924,
        308.79596642507494,
        312.6027661891098,
        312.4196736802258,
        312.56602900613524,
        312.17862232309955,
        312.68725368871696,
        311.74712991070527,
        310.79267215694165,
        311.7140433297429,
        311.47527705145467,
        312.45665037242406,
        312.6167505261201,
        310.7071932869192,
        311.8443059034277,
        310.778694298889,
        310.9278435668942,
        312.6035680670404,
        312.34274007873057,
        312.02145506530854,
        312.23743162680717,
        311.9594527614576,
        313.5819694009725,
        310.94754882788317,
        310.49054542119956,
        311.4126855002498,
        308.9620587160039,
        310.9962984577274,
        308.7424088332357,
        311.1173495370324,
        311.08618995861104,
        310.2587036994651,
        310.29011537000207,
        309.47055944639493,
        307.991497751363,
        308.4760814504695,
        307.0185174325908,
        309.60910152739797,
        311.1321845645728,
        311.6356539316664,
        310.39492006526876,
        310.83540615556393,
        309.85585321594334,
        308.78487844780807,
        310.52302548929845,
        311.7325654559633,
        309.1757707092378,
        309.6318127888811,
        312.73904583962934,
        311.0306205647597,
        311.6506391026784,
        310.13773870823644,
        310.47712161853445,
        309.91328956668866,
        309.0233416512978,
        307.87561844122405,
        310.27892431499913,
        308.2641294123509,
        308.8370113332081,
        310.2378712863203,
        309.2757956669805,
        309.8906509818856,
        310.1338773017517,
        308.7562152481372,
        308.16158166893763,
        308.6340515947124,
        307.7401200701677,
        308.0071097117074,
        306.3375249191535,
        308.0772300734341,
        309.24680085358665,
        307.355468749204,
        309.6077653840194,
        309.12958295018603,
        309.1704716434663,
        307.51960647122536,
        308.5772265573713,
        310.79552734299426,
        309.10042389148305,
        308.98202762966855,
        306.05532947732314,
        311.0635380495377,
        310.0202676114635,
        308.2783496093455,
        308.8493427891952,
        308.148191904891,
        306.3796331962408,
        308.48599410363926,
        310.43087757671947,
        305.39433512399876,
        309.4935794367377,
        307.3309705676399,
        308.19338357656494,
        308.2687599683397,
        306.3615836332322,
        308.71530607171246,
        309.26532312165233,
        309.029492063414,
        308.0358533219449,
        307.043450349026,
        305.08736786639247,
        306.37838685860333,
        305.95250934900366,
        306.24090060230077,
        308.61679795156294,
        306.1121664755215,
        305.4802961513503,
        307.3133434386571,
        306.08124674416877,
        307.95502746873194,
        304.0597666714974,
        306.3953161168458,
        308.8938107268637,
        309.27798104742794,
        308.7736993619003,
        307.48616094674276,
        307.06686579218615,
        307.29104409879403,
        307.9214253488883,
        310.9550306634304,
        310.1857493808552,
        310.79829528484566,
        307.84749988636685,
        310.6335031749586,
        308.6000365181804,
        309.0382866739592,
        310.34103005472764,
        309.8505985678683,
        308.72576820823554,
        310.67330692744946,
        310.3944161852293,
        309.4294766050727,
        309.37917858263506,
        308.63827108224416,
        308.63658130344135,
        309.8907370954345,
        308.0978754336741,
        310.67908383420155,
        308.3223108360843,
        309.18399522381065,
        307.6684355990247,
        310.99653175169266,
        309.38937454042787,
        310.48549223942706,
        309.75900235210935,
        309.227637018697,
        309.52038880098036,
        309.54398898706285,
        309.6214022272524,
        310.438778522394,
        310.5497446085606,
        309.4938422042938,
        309.9870073784592,
        311.11841759716697,
        307.9941597269317,
        310.85201533131493,
        310.61601230178604,
        309.9500133110798,
        312.8829867761158,
        309.4942006503865,
        309.5009360528305,
        311.3435340710014,
        310.25645687480045,
        312.4001037957901,
        310.3711537458923,
        309.5912568297521,
        310.032302479214,
        310.51495839381886,
        312.23570529331744,
        310.60721173171976,
        311.37044339795324,
        310.4030468668236,
        309.8841532438479,
        311.8003797525288,
        310.29510487562675,
        309.4211740442594,
        308.55475332566255,
        308.49041919825345,
        311.122637071114,
        311.4165682793758,
        309.08544920254093,
        297.2039022457389,
        304.91770324126753,
        311.3852918551501,
        306.91051855628655,
        297.92049377472745,
        264.2809174003588,
        236.93488075199343,
        224.1160510644982,
        200.26181340007176,
        175.4237709773311,
        155.98935141118247,
        126.66364835483238,
        104.75354743192696,
        85.174508817443,
        59.6520894677275,
        35.72639861845676,
        31.27586976837229,
        31.084971702787104,
        34.35616923268625,
        29.266258211247177,
        22.710933151414658,
        18.80808264732505,
        17.610665865558136,
        16.102265963060542,
        14.844606119304894,
        13.478668225396966,
        12.724246532110385,
        12.821662681337706,
        14.97401980111027,
        19.59777183244912,
        26.785185012777593,
        36.27737986472593,
        46.013978496970694,
        56.31504016557857,
        71.2707893194022,
        87.13307081935498,
        107.01930908496038,
        132.3754501221577,
        162.0028524512584,
        199.8369954292286,
        218.30849208638688,
        255.88548719509728,
        275.11570384796937,
        290.49075980551123,
        307.0566626771524,
        319.020795355821,
        325.7682322038406,
        326.31710635429937,
        329.3960481770497,
        335.34261616662855,
        332.9075438578959,
        331.4949992752055,
        332.77637507610365,
        332.46319181428026,
        331.3072080946492,
        330.1479646784454,
        328.0740545380014,
        321.91746526906985,
        318.2076566042173,
        319.50158528421343,
        318.5673689599554,
        318.79965699292865,
        319.8269921786563,
        320.60604889491174,
        304.35128616715974,
        304.3821657969109,
        306.28595593184775,
        303.9840628560842,
        303.9297185660385,
        305.44301318342303,
        306.6052542627592,
        307.1640049892752,
        303.3126218797177,
        304.41168907966136,
        302.313933005081,
        305.4808539425507,
        303.20821572275963,
        304.024207144772,
        304.3715661111291,
        304.76186003541244,
        304.59683435887257,
        305.39590458017983,
        302.41797054994254,
        304.11883241691845,
        302.6220514980656,
        305.45187861670934,
        303.6091073165698,
        303.0533995224876,
        303.7606416292916,
        304.31500759357084,
        303.3559460773987,
        306.06616390049095,
        306.57764286629623,
        301.55430695615695,
        300.7335159538539,
        302.3485437612443,
        297.8812543108858,
        300.62090707644234,
        303.01529333041765,
        301.63005278341586,
        304.1555072726485,
        301.42178746930466,
        302.1819570563358,
        305.0442350259724,
        305.7630360001171,
        303.471447764942,
        304.33318323154117,
        303.9907797945329,
        307.05649221951626,
        303.8270674036804,
        304.76632523140603,
        304.17673031439546,
        304.32759295422466,
        304.78323676111654,
        303.2664380746513,
        300.5884118198628,
        304.6630558908722,
        303.54474139174437,
        305.09941008008684,
        304.912532549804,
        303.30576508651524,
        302.96625397857207,
        304.73999131634196,
        304.07127097659423,
        303.89810148508496,
        301.68498841694594,
        302.94549789681963,
        288.53354848126895,
        254.1123714479767,
        222.05894555287168,
        197.89643983605137,
        178.42721267515535,
        161.6090652744576,
        156.55328713308145,
        124.50477032563313,
        86.7675042031036,
        50.23917190331966,
        30.07486608421214,
        20.195528747707204,
        18.231965422390385,
        22.627122392810897,
        23.396577193531,
        25.122729472208615,
        33.17213321613526,
        46.368305823130676,
        52.449878455642676,
        60.97122172734711,
        68.61887478259037,
        72.02102900639166,
        71.35074247142532,
        75.87956955745365,
        70.97677731796072,
        77.57902596282322,
        70.56637252765115,
        67.75244776745078,
        71.01352682584482,
        72.30388474236933,
        78.12474799374706,
        73.84259545127966,
        71.3948496300904,
        75.98089289284214,
        92.94879677126482,
        91.29715055134254,
        87.87802896413287,
        84.64560693429999,
        85.50831493107664,
        84.27318595848546,
        80.54090820127247,
        81.72143157779814,
        89.02008275490896,
        87.60942291298998,
        82.62978332349972,
        86.22342203927671,
        85.24957238441645,
        84.22856722669229,
        84.92916971335376,
        85.47849446362098,
        86.31602053513687,
        89.49021366164273,
        90.71331196786328,
        92.46771228165481,
        89.81646443290232,
        88.11113162217204,
        81.37807916601344,
        75.5603907910192,
        66.57114702276489,
        57.74270632728902,
        52.79898862681428,
        41.26112723078419,
        37.03652890930121,
        34.773897087803434,
        34.62012132986094,
        30.650096906379467,
        20.487695672907638,
        15.361121598324942,
        13.72917533137945,
        13.754391263712064,
        14.16604564352455,
        14.276715852876627,
        15.95512306013996,
        18.076631455236864,
        20.69194091825015,
        23.92512791890746,
        27.264260278387294,
        32.0732666206433,
        37.44281040072856,
        44.707471225032016,
        53.70668754547168,
        68.05078959413167,
        95.70971834345004,
        141.84533384090253,
        155.5049259269985,
        188.56755387992993,
        226.74735591767865,
        243.77905200152904,
        264.32868668924857,
        281.2958441836463,
        296.25065755124615,
        312.01625938258326,
        325.1882548173754,
        332.27009330512135,
        332.5168630128075,
        334.1867462203226,
        334.33964456638887,
        333.68036107935336,
        332.10437752860406,
        333.67701062543875,
        331.6926035896363,
        327.89478551769815,
        325.94488353540874,
        328.0351887899934,
        326.3199417541221,
        319.1485304110303,
        316.854097887576,
        316.4111848631285,
        318.05914240418093,
        316.94062749211184,
        318.1796205868315,
        318.5206889974272,
        317.1209121792216,
        302.2716547042939,
        303.06151502165477,
        302.2373509710617,
        305.2314091358574,
        304.1047117307625,
        305.9041322436703,
        304.89222221589046,
        303.2640274157991,
        306.63367868750186,
        305.68882559299226,
        303.65673465495587,
        303.98749345393713,
        304.13571289059564,
        303.18716794296074,
        303.0379328991547,
        304.0011338858741,
        301.5622265480807,
        304.50032515848426,
        301.96508101073,
        302.60705545914146,
        298.35733072832954,
        295.5855248011458,
        297.4070026396186,
        294.8743036875018,
        295.49292064498985,
        293.895217661707,
        296.69986977925674,
        294.02192093242974,
        296.51120333596685,
        295.8218369837129,
        295.55033455943027,
        295.64685648731484,
        294.93719183088183,
        293.61262188109396,
        293.3483662079641,
        295.2113020638419,
        292.84283456276455,
        290.5548783859672,
        288.90029692415146,
        289.7766137388877,
        290.0746519542113,
        287.7370212994327,
        285.8495807798346,
        282.3710499829317,
        284.3014824274947,
        282.906405150424,
        282.4499826248149,
        283.3560485211532,
        285.40576099532797,
        283.41196976103123,
        286.19310110268304,
        286.02852755903376,
        285.78934027325175,
        285.112985379815,
        286.13660082003065,
        287.84194767776916,
        285.97373840934637,
        286.01230932950926,
        285.22243118706797,
        285.14824217824366,
        284.23837869591534,
        283.721261211348,
        284.0500567650959,
        283.87091579708544,
        284.05334452885745,
        284.19187823945646,
        282.7658666061584,
        282.8920355894405,
        282.2042936180009,
        282.76561520846957,
        282.2343449385738,
        282.5638136366849,
        281.6592791287918,
        282.9192628657542,
        285.03551431768403,
        282.39473560471595,
        282.57344798306946,
        284.98018654225666,
        283.8044234352813,
        283.4822272767622,
        281.6942256192795,
        285.09930730753655,
        286.77432106033444,
        286.3215415218394,
        285.43459778615687,
        285.37758605568496,
        287.55818069822,
        289.2176294701846,
        285.2906900237576,
        287.7375401310829,
        288.3386114727193,
        287.4677039499535,
        286.72552589671386,
        289.1548248950346,
        288.8268612393933,
        287.7462010565286,
        290.65293366579886,
        289.22868199871,
        289.0229217182343,
        290.0262037325852,
        289.26637800427005,
        290.73563726629993,
        291.85849428527155,
        289.131273503097,
        290.15188765331925,
        290.0246386360921,
        292.38580165030675,
        293.3073136936885,
        293.57088199706504,
        293.48244428815116,
        294.1894259491059,
        291.7432931856382,
        290.875919762342,
        290.577787901827,
        290.26867692542845,
        290.9120221982884,
        293.98958041607426,
        294.77544667377526,
        294.35362264297964,
        294.6035459585851,
        296.0481335773985,
        298.58635445139697,
        295.5315425610576,
        297.8767110966621,
        295.773208167935,
        296.1623683137535,
        295.9261396841514,
        296.71276654680025,
        300.0338794822408,
        298.63200122892897,
        299.6679662043532,
        301.2933897013327,
        300.480034689255,
        302.2778832804782,
        300.9233962311666,
        300.8789698868929,
        301.8380804917418,
        301.7399652776896,
        301.83146230869676,
        301.71280019632906,
        302.4346559723172,
        302.5908890265237,
        301.87783781549854,
        301.52555626451596,
        301.7544983355674,
        300.6513895947445,
        301.1288241092476,
        300.92118407970736,
        301.91633156281927,
        300.27171332399325,
        302.2194736827699,
        302.2946272363604,
        303.0453548137019,
        302.89059894576167,
        301.0013708002533,
        302.6525054165718,
        303.14677552526314,
        301.4332143066123,
        304.53993516367217,
        305.05010516096195,
        304.2934856047296,
        302.5557526668969,
        302.8887174265647,
        301.06019603244647,
        299.23757481836276,
        291.70616130331416,
        253.88448834747138,
        194.16855132419806,
        157.85290738776547,
        132.21611962224966,
        121.36187242060413,
        143.23721965623375,
        147.31155884324065,
        129.82472472837776,
        103.04976417521823,
        74.46604800657369,
        58.54425083971478,
        54.90361674725097,
        52.60045453883867,
        50.20139242122322,
        47.79599709779389,
        45.899498328502105,
        47.11853623976516,
        52.44632161294236,
        55.98835537366394,
        60.8548523600758,
        63.93949434474065,
        64.14564092547562,
        62.024781369338776,
        66.93157947556915,
        69.66751291674498,
        74.07249118227024,
        78.03910448490021,
        80.39878760246927,
        80.58821725180826,
        81.88438133256017,
        83.42030548116094,
        79.59601316676304,
        80.83395040836922,
        88.00939341163772,
        86.48605957957967,
        86.04519084894633,
        87.8033882198627,
        87.85657456674245,
        87.42516561177877,
        88.28997242311058,
        85.76579898005924,
        87.10125434278316,
        85.01943049451565,
        84.32507313918951,
        78.27312527178523,
        70.07464261696846,
        67.04915001345455,
        64.270861506992,
        47.01373444266494,
        36.53006655067263,
        26.975693328856234,
        21.41450556932601,
        16.722420020237546,
        14.443101127902377,
        16.122536203178228,
        16.99198869599969,
        18.52236029621002,
        21.779560563389136,
        24.85601828390353,
        27.64159911120954,
        32.119065875645504,
        38.265466653840996,
        44.75230715998428,
        54.13185424383919,
        68.63177814190067,
        91.71084501005873,
        133.70529860297103,
        163.43551992594342,
        199.2692343435358,
        217.29509184849064,
        246.62494646987386,
        265.06386752533757,
        282.23811956150683,
        300.1610022382852,
        314.3081712950398,
        320.73191948110616,
        327.238622323335,
        331.6618977783474,
        331.2748224096037,
        333.84263271378853,
        332.0857786531506,
        329.62194805610983,
        329.0751063312541,
        327.3753699469376,
        324.9607103583561,
        325.6723802572638,
        325.62943357405607,
        325.37080038540046,
        322.86672163859487,
        316.8126844617422,
        317.5280327526109,
        316.7821704645216,
        317.35585319395955,
        320.46432471872646,
        318.41997612843863,
        319.23781572740637,
        318.848068574505,
        319.68219431250185,
        320.3180467937684,
        319.8110275492245,
        318.3405051907668,
        319.0494165645634,
        305.3876656478317,
        306.627251877095,
        304.2582099860287,
        303.34594654224423,
        301.83084490476966,
        303.003275078525,
        303.0537930409928,
        302.7147706816163,
        303.50329209989854,
        304.0950661772258,
        304.33100802550746,
        303.96620839151126,
        303.848584701249,
        305.611574073865,
        302.6684689369985,
        304.41521158704387,
        303.1060126590682,
        303.6569106788163,
        304.2868290358775,
        302.7044273221886,
        299.9495742810501,
        304.05632268279265,
        302.94443848198296,
        302.8138176225156,
        301.40098868452947,
        302.6731806809413,
        301.4253934820482,
        302.28522786123443,
        299.0971516369257,
        300.3517458739093,
        300.86676721638275,
        301.7099370558619,
        299.3788089358471,
        299.5498867406387,
        298.52362554055645,
        298.0256277744575,
        298.65478839084005,
        302.1056671264919,
        302.20998226437024,
        301.4634047855704,
        299.6481351236225,
        299.5502499261078,
        300.13916287373775,
        301.7885376469069,
        300.2527549437523,
        300.6161494475938,
        298.85438150926086,
        297.33052155116144,
        299.23170500154856,
        299.50185634115604,
        297.04789718469624,
        297.43353744054673,
        297.5039393563207,
        295.6940438668125,
        296.6428607122218,
        294.81424435301733,
        294.0572609229508,
        293.6734400075276,
        291.4147658281103,
        291.3552256786018,
        291.342091269787,
        290.90376478752137,
        291.42097129727273,
        290.1608597783825,
        291.24186885117774,
        290.82328011480564,
        291.8039865422735,
        289.0149398649736,
        289.97901510678173,
        289.94648379595077,
        289.96864951324466,
        288.15182415507695,
        288.8724873251046,
        288.3780379178768,
        288.7915499562937,
        288.27624673641805,
        288.3428663300398,
        288.6753808592494,
        289.2426737567884,
        287.25388165509054,
        288.0046172116127,
        287.30381745415093,
        287.8154810451742,
        287.4713816241936,
        287.4050273307094,
        285.7337206358722,
        285.3250190743748,
        283.1648961882821,
        282.678386495462,
        282.2226770550006,
        281.7018431383296,
        280.8150354420833,
        282.9343984960204,
        282.8418195495258,
        282.444310613222,
        282.92823965508404,
        285.01808590130526,
        284.01616893248394,
        281.1194248685778,
        280.02887799265613,
        280.7830673349507,
        279.61175089059213,
        281.3520996088884,
        282.8349369133844,
        285.471733059301,
        286.0155285485454,
        287.6911733049931,
        291.1009907729532,
        291.3988375203619,
        293.9066463996509,
        292.9389730757221,
        292.75217121146767,
        293.688267865979,
        293.6295337761145,
        292.8005338154527,
        295.1308382203524,
        297.3034497955699,
        301.5646929253472,
        299.78641816078164,
        301.3935046090313,
        302.8826644303486,
        301.2343532473463,
        302.5667997684662,
        303.9194624941038,
        303.042229792035,
        302.6347399235657,
        303.89953468843106,
        304.7311042383817,
        304.6631829868833,
        302.8701924169048,
        302.72821433355887,
        301.56621925614587,
        304.59207718398363,
        303.1493811268434,
        303.8566384544509,
        303.67521737366343,
        304.98331306174936,
        304.4835498934456,
        304.42901004835403,
        304.16115990480864,
        306.7029408986533,
        305.3636870616388,
        304.94933050738047,
        306.8010539633647,
        306.44354526387065,
        306.02266888789734,
        305.0403989177268,
        304.84099633612914,
        305.08794087351095,
        305.206471710251,
        304.356203284856,
        302.04015946195614,
        303.6794516601374,
        305.4840932155906,
        303.56671620678685,
        303.87325953667994,
        303.8766419837962,
        303.82895977995844,
        304.5767997339566,
        295.9728509068583,
        266.53906568547416,
        227.31147347168985,
        205.33353743941686,
        188.2165960002463,
        174.2471368582973,
        177.0506989181267,
        204.55201349059047,
        208.2347192894182,
        175.45656356895236,
        135.39210177801615,
        100.44553092295334,
        78.65731530581178,
        69.15757475249558,
        67.13006885996568,
        62.712258390448135,
        59.81845992466595,
        57.616510777659336,
        55.58096201814828,
        58.14915773842059,
        59.56065947381109,
        65.00313491498477,
        65.00978147561605,
        64.15912862518475,
        66.53314841818991,
        67.62862291103714,
        68.7036825429234,
        63.69740260573841,
        65.26976777049826,
        66.79599319815458,
        69.59559569929972,
        69.87766565223505,
        71.49125433826624,
        74.51352466520129,
        77.74756039837379,
        77.41402162242808,
        74.28917280521031,
        76.09395398872232,
        76.57974970677799,
        73.32123985647613,
        78.35429903019356,
        81.41160190807275,
        82.66081684100568,
        88.58792593897117,
        95.11100930733333,
        86.40975801483263,
        77.85489508485675,
        87.32156386177421,
        94.65379648707706,
        96.67953800229543,
        93.8100401216639,
        90.78136031010834,
        78.47889014450305,
        67.2316644525201,
        51.47341181304247,
        37.358069649288886,
        35.67969545453807,
        32.889036804271306,
        28.882487674381345,
        22.69909033508183,
        17.3175249453665,
        15.132739043869062,
        14.37911782935488,
        14.575200735172094,
        15.445451462205245,
        17.097619933930137,
        18.57131312459258,
        21.26424666763117,
        24.59836743384887,
        27.67234979014455,
        31.895374309097107,
        38.36718101368763,
        45.439850844467074,
        53.19230118475968,
        69.68296337000409,
        95.43491077559145,
        121.45656849922834,
        149.78782147156036,
        180.99640464031074,
        202.21749128379824,
        238.91528097889895,
        257.2789670051808,
        272.20652811693714,
        305.3689232314152,
        318.2956119768177,
        318.026060474537,
        326.9256622499526,
        335.0397330330552,
        339.0851164201124,
        335.8776875774178,
        339.47869348408256,
        336.73413764179367,
        333.41329865403037,
        333.4207486363535,
        332.7816806414881,
        326.36784505000657,
        325.34588817779104,
        325.66513924866337,
        325.45728007885975,
        318.23630750229114,
        319.3815317059163,
        315.4228217710141,
        318.4320608522686,
        318.2309648581291,
        318.3036020655585,
        316.6753887904121,
        318.3581654966873,
        318.4598563392387,
        318.1287606685413,
        317.33549839235565,
        316.459670500497,
        315.6951746751446,
        316.04110168965207,
        315.70214475650033,
        311.8315344872462,
        303.7859584453044,
        302.38075484664006,
        301.6697326904004,
        301.77501770460015,
        300.28400931159746,
        300.7564950379417,
        299.09757191946073,
        296.7504057816786,
        295.732101389659,
        291.14767433146835,
        288.6740057116366,
        282.10333404879634,
        283.6614239404873,
        285.92165617080167,
        286.19719436912357,
        284.90843403279473,
        281.8542790780232,
        279.57467591596054,
        277.684040796911,
        277.2769706774894,
        274.97235201136164,
        274.19068319627735,
        272.2805566363392,
        271.45866566876896,
        270.18960785228126,
        268.10111725902146,
        267.89176900012984,
        268.2148734006481,
        268.4045969900119,
        267.84618775921086,
        270.1151786640679,
        272.6386371361982,
        269.08424509893223,
        271.5467292370254,
        268.9375823264914,
        268.94089228773686,
        269.3197345126347,
        267.4798292579932,
        268.20470830197854,
        265.7814564857419,
        269.47934776084685,
        265.692722016699,
        265.12631292377154,
        265.18432468125974,
        267.10547632118505,
        266.24329443363956,
        265.2269900142584,
        267.52891600214525,
        265.89231843035185,
        266.54606803285884,
        268.03876157357126,
        267.86374744607315,
        265.86978369908746,
        268.53230167140055,
        265.95676787497865,
        266.3169385169994,
        268.2203638529124,
        266.0480978157598,
        269.1502607701148,
        265.98049659601713,
        265.91912000749977,
        266.02410552209795,
        267.2162384256244,
        266.02933482191173,
        266.19440610009127,
        267.6080244327075,
        266.7920424480516,
        266.71788335191815,
        268.01878577123443,
        267.9909809023963,
        267.50459088312675,
        270.6645254149214,
        271.5070178577269,
        275.7632009450397,
        277.6112510824686,
        278.8713736901284,
        281.3374692363659,
        280.21811767257407,
        281.22847938580907,
        282.2712981294544,
        283.64755591960943,
        287.7226580566583,
        291.41651938315175,
        290.9179806737534,
        292.37753978405806,
        294.22243091539286,
        293.36152414798136,
        293.5803898582177,
        293.6160315017677,
        296.6168543776336,
        296.0214514560462,
        296.66345087904756,
        295.32997754730894,
        295.7984179121097,
        295.9598314492804,
        295.589939959402,
        296.6069986850184,
        296.17664422418204,
        297.0633546696414,
        297.1605374694819,
        298.6651334217809,
        298.11426424085823,
        296.8679506645418,
        296.42858506860733,
        288.667761921676,
        273.197321081128,
        255.3019945866336,
        222.22318431702908,
        199.46251844279894,
        188.57500591277426,
        183.7061276216604,
        176.08174659888485,
        188.17386243043111,
        180.5537058678515,
        154.25918833019063,
        115.23398787433014,
        85.62517493881293,
        72.62892066188846,
        65.00830570773323,
        61.508245441320504,
        64.07830835892359,
        61.79801022047812,
        58.608502770825375,
        62.79075837960775,
        59.71989206384724,
        60.9306298287579,
        66.96398231051086,
        65.55771931326586,
        70.68502363415571,
        66.62508245243008,
        67.05508094545208,
        64.46804063852453,
        69.8147988591444,
        67.60305009442536,
        69.86096244474484,
        72.53272026270787,
        76.71312860997786,
        82.72058050747974,
        79.57492332083622,
        80.15450628336515,
        81.56945348578861,
        83.8949898726595,
        82.05043800577852,
        82.99134471962961,
        85.85447084769086,
        84.86358470761209,
        86.52918075717872,
        90.72908310250162,
        93.3164026127939,
        94.4247478769874,
        95.4032899230204,
        93.34399445769807,
        91.30184425457495,
        89.38771375859888,
        88.21917751340044,
        85.82693032668932,
        85.82344110721964,
        77.10859483159376,
        72.57384005909341,
        62.9246361261433,
        55.022898582150304,
        44.150637530149076,
        35.07792550678944,
        30.39231539560955,
        19.270781135878806,
        14.37471783914238,
        14.448301470067632,
        14.77274486396682,
        15.262713313180424,
        16.366721662197456,
        17.688371930822793,
        19.322182788041854,
        21.320623014573574,
        24.239500474713175,
        27.75508873798176,
        31.102154747416897,
        35.71993375889607,
        42.20977870088728,
        49.85075216932244,
        61.15094496085699,
        80.57647061292805,
        111.0940261270812,
        166.15914431974508,
        203.54162153582985,
        237.3942277848973,
        254.25120296022186,
        275.7680186547545,
        290.15693246721486,
        306.32215744820735,
        316.16783310754425,
        325.2189579706072,
        331.4528698110854,
        327.5561934727669,
        332.6808126849599,
        334.2869258981052,
        332.87372561049887,
        332.98576199439697,
        331.06613182085874,
        328.88048167317714,
        329.43691042671145,
        324.1854983799123,
        322.36870851241804,
        321.6874522101627,
        325.8860080111174,
        318.9325057861575,
        311.25120948048476,
        312.891861876937,
        310.8385481187086,
        310.9920290710177,
        313.16510560754637,
        311.4235322313217,
        312.64246018141546,
        311.71208512762234,
        311.5714333722588,
        311.78145647668407,
        310.16003254765434,
        313.16082645847627,
        312.57874094771694,
        311.9455812182947,
        311.7990136540626,
        310.3258835619042,
        308.8016449439259,
        309.30504484667165,
        308.5217393658003,
        306.8655566396349,
        305.92933807699353,
        291.4594476114752,
        284.72188613405524,
        283.35921067624605,
        281.9370590976605,
        283.4880475929354,
        280.38365849240785,
        276.3512579501348,
        276.923777787652,
        273.4966398389756,
        271.82812280241995,
        271.1321024928561,
        271.6023614333719,
        271.86896043715404,
        271.15774336382896,
        265.3781633336761,
        266.11283874991955,
        277.1028638232066,
        268.010384457221,
        266.6352162888683,
        266.5986441558628,
        269.21950552586355,
        269.20565639165113,
        269.79669052198534,
        269.7608217559934,
        271.0085933218056,
        268.92888744097377,
        268.58902677783044,
        268.68530305114194,
        269.925129744645,
        271.77719866193496,
        284.56694904441343,
        282.750160943726,
        283.553438447275,
        282.91557445797696,
        269.3245086504795,
        269.13568228725524,
        268.89792438045345,
        268.42172631513586,
        267.6877614108426,
        266.9758455659508,
        266.2247624155634,
        262.29129840665365,
        263.89735952824736,
        263.23764322863093,
        264.5440283933014,
        278.3423278077256,
        280.7895137907803,
        279.756750936295,
        268.31066041049985,
        270.6117505780628,
        271.9548198064477,
        286.35544626893517,
        284.82474825811966,
        283.8594360872903,
        285.47841687421425,
        281.10188982858523,
        281.5766046443984,
        268.6493264809813,
        284.1016688171113,
        285.0552231081916,
        285.28310147877727,
        288.25080510243805,
        290.22048642428234,
        293.06594942853934,
        280.4154558983727,
        281.51358949334406,
        282.6052270549485,
        286.17071031659077,
        299.94329897217807,
        299.917385061256,
        300.9295456840982,
        289.8856271700634,
        289.414904081911,
        293.2506784681699,
        295.9703735992056,
        298.9445077163098,
        297.84481409110805,
        300.09124627854595,
        300.0277141135699,
        297.4798274723465,
        298.22164457127417,
        298.07879664794837,
        300.19407044258213,
        298.6879896950424,
        297.40231733510416,
        298.6342848219159,
        298.3348100963607,
        298.8606499529488,
        300.1239774954209,
        298.19154802685597,
        299.51305120748924,
        299.8536342574989,
        301.3586060460387,
        301.1416945157924,
        301.53581049771714,
        301.99453085142414,
        303.6497909190986,
        305.1736552372554,
        312.5894556565397,
        302.6297626847,
        303.04054865869466,
        302.7960488815727,
        302.8002961134731,
        301.8743268925041,
        302.6297236264782,
        302.08902415466247,
        302.1482489576078,
        301.23659612637726,
        301.25588646890037,
        302.2296838156614,
        299.5164960368528,
        285.2350452569986,
        250.65208057044586,
        191.27296041386566,
        132.14829897660576,
        108.04620734470612,
        87.76374934125359,
        66.81609209681338,
        50.58203462136297,
        32.100229637794705,
        31.98561921160191,
        29.713940917290575,
        23.74273980760561,
        21.896086294437914,
        23.780661488614264,
        29.14790075163663,
        29.911873190560755,
        33.63739763008701,
        39.18493989648334,
        44.30352929679963,
        49.02987232066848,
        53.412412105899236,
        54.78377059400571,
        59.544020311180844,
        59.57355968067762,
        63.445307783872394,
        66.49827409018353,
        65.81205110293395,
        66.27821071971047,
        68.14316208013827,
        69.81319110028716,
        72.10732530848922,
        73.75898126981755,
        75.34556431549753,
        75.39708961718941,
        75.27131143307149,
        74.33049814836951,
        75.48174616821655,
        76.61900745767971,
        75.59818164340834,
        77.03101475715786,
        78.42671484482263,
        79.67947478869402,
        79.48364170999409,
        78.60034464149005,
        76.58314647899773,
        75.74653661033048,
        73.46552376620238,
        64.0658451455152,
        54.71025753427188,
        43.47279530496479,
        36.76444286955728,
        26.627888660838924,
        13.935878757034123,
        8.952961400119166,
        7.820031061921295,
        8.456584858450348,
        10.367391791192064,
        12.382907213199948,
        13.36275178745045,
        15.262881650282488,
        16.762687826691806,
        18.076416895083305,
        20.22663711660043,
        23.184825481178144,
        26.382296900711808,
        29.97868624763018,
        35.12711878144054,
        41.59860136898538,
        49.43528006657403,
        60.153629893855744,
        79.9232976914059,
        115.01117052702257,
        160.75160504211505,
        220.29836732923252,
        241.403041791851,
        275.240491532267,
        293.07473367773423,
        307.78135091121646,
        319.684441533402,
        321.0133850475043,
        325.72680833689935,
        331.35219943568217,
        335.01983754307304,
        335.1944270465864,
        335.8867529018532,
        336.22042149612525,
        334.495230700771,
        333.74795810010284,
        332.152137584595,
        327.9149547585067,
        326.6687970118874,
        326.4487130794741,
        325.1485640855556,
        326.63767975902135,
        325.04843274887446,
        315.81780597976183,
        314.55042205785423,
        316.4684342346086,
        314.41679672801115,
        315.4718605316115,
        314.1368600914282,
        303.10932223375096,
        299.9043513782296,
        301.0796118823015,
        302.3857627292491,
        301.8167151200388,
        301.38733538035933,
        290.05248625173476,
        287.50111976656984,
        290.36434415712074,
        288.7949309159633,
        284.0353189824942,
        268.6395730106679,
        260.89879724499434,
        255.75920427461892,
        252.1552596932446,
        238.02423609754726,
        236.03345699394606,
        237.01084597617543,
        238.43670424757246,
        237.00478041904466,
        236.43206689639914,
        235.1781915380276,
        244.94737196180353,
        245.00449541294296,
        245.0941203703447,
        244.47379412606898,
        243.8721722597093,
        241.52346332058147,
        232.42521116917405,
        240.30285173862478,
        231.9524865757159,
        244.0194487654321,
        231.50823312705396,
        229.1795272709252,
        227.94220232155777,
        230.17847904581023,
        229.60474803038954,
        229.10092826968844,
        229.24407465812772,
        226.9179360773533,
        227.07794519227875,
        227.22780369329192,
        225.27437962818533,
        225.08195581476653,
        225.82350151370625,
        239.54523034498305,
        240.59256796231162,
        236.10457971229027,
        234.2806539344688,
        233.48855319551072,
        233.16056959040122,
        234.26721606116564,
        233.415982336308,
        231.620715044647,
        230.7599352057658,
        229.27975259992806,
        231.357183418951,
        232.81339905444426,
        232.8755150322222,
        231.65031489114946,
        232.69680643850242,
        233.54471170517397,
        230.0227650536137,
        230.07551977337917,
        231.83825980753318,
        233.1429040809337,
        233.9771900255544,
        237.3738234194709,
        243.2586263019322,
        245.52301026039467,
        247.1396942276033,
        248.3557458024509,
        251.92495282203242,
        256.85841498026906,
        262.80866613251374,
        261.64867967157346,
        257.00845896084627,
        267.7902094158753,
        272.5473292685043,
        274.92188324972386,
        278.87061920862953,
        279.67361723620866,
        282.089015382215,
        287.7157818896552,
        289.76979455865927,
        294.01146663199415,
        290.6821605212883,
        284.691177601454,
        285.0774639292953,
        287.6884583294212,
        290.3245630781679,
        293.9616175803006,
        295.23771220239604,
        298.7289015412913,
        298.5465871555437,
        315.64621412280354,
        312.4408351127614,
        300.4563397951185,
        298.8234487057614,
        301.59102780686163,
        300.3214904560983,
        275.44587890101724,
        227.20697880490775,
        184.78276692544233,
        158.71717370550002,
        150.1397763706705,
        128.1537110740332,
        119.10633516280565,
        114.81117978025368,
        102.27515802402148,
        70.52761031264306,
        53.191870239626205,
        45.16876347595131,
        38.945900598242936,
        37.68503644249355,
        37.57708206207513,
        39.52240569612008,
        43.57751491637631,
        47.165899077191646,
        50.5975582753243,
        54.120820802381346,
        55.17780400782445,
        56.19666071728315,
        56.10143071461067,
        58.74061412304961,
        60.7781539229358,
        61.425975098407655,
        60.507709401542606,
        59.95042995266057,
        70.02801282715967,
        73.40659540879872,
        76.3664894168807,
        75.5503919506931,
        75.7738939496808,
        71.0714029248868,
        73.30057856706476,
        76.56767611342367,
        66.06048213134254,
        48.47595268440823,
        32.544279870187765,
        28.48312578162978,
        31.16730287903507,
        18.001702764398082,
        9.571543316622012,
        8.614224537028663,
        8.750478860548464,
        9.828238159754106,
        12.099470000509045,
        14.750428404235839,
        15.622481873500362,
        18.17690586795205,
        19.472693819289226,
        21.427991337687875,
        24.669130508808912,
        28.065158547279633,
        31.995082163827227,
        37.81880614925312,
        43.50339483514362,
        52.696614502601875,
        66.65763275105031,
        84.16239015044479,
        127.43414413621048,
        189.08096119122243,
        241.00418981448783,
        258.8341702500703,
        279.0946281472242,
        296.36098658942706,
        309.8625488194845,
        321.6833217099405,
        330.21875381006305,
        334.90411955643447,
        335.9459247081991,
        336.85015800059745,
        334.43989654827305,
        336.5113787608184,
        334.76258570491524,
        331.5089192582615,
        331.41881438051036,
        332.91049873741883,
        323.9474262135173,
        322.5802564380492,
        322.4983969905315,
        323.82773578501207,
        324.1972384978681,
        323.61148361487335,
        322.36017865982336,
        314.66852682940294,
        313.7319489608471,
        312.9191872793376,
        312.7862213326535,
        312.8084926396581,
        312.59996585026033,
        313.37022854839,
        312.190152933049,
        313.17755197524707,
        311.6584418261199,
        308.3667468366788,
        293.415571990839,
        283.88207379805493,
        279.3023849207742,
        282.15835389284024,
        280.31067660133107,
        281.06173864216413,
        279.39410060562113,
        277.9999833407047,
        276.7528936767827,
        272.38526358919376,
        269.6766933545525,
        266.86553107356616,
        260.39614899065936,
        249.7805085028648,
        256.22845549311063,
        248.62056134596455,
        243.35561350145568,
        240.4746476345297,
        237.51235242860858,
        237.25483462918106,
        234.25413908811925,
        233.28967318276585,
        233.80346047873118,
        233.25068353182726,
        227.7248532845662,
        224.42408358145806,
        222.13635844062625,
        221.58173817809296,
        221.41073684955288,
        222.87040341121835,
        221.493708290325,
        221.73896469825766,
        223.28438315913175,
        224.45306385421625,
        224.86896945581296,
        225.26213565194726,
        225.9922290667675,
        226.17674147471558,
        227.75064669626028,
        228.70120766795912,
        229.06216181988074,
        229.56799637458693,
        228.98835862854384,
        227.75923464083368,
        228.3246104353151,
        229.86461113103118,
        227.64476302134085,
        226.4238211922245,
        228.16839915923865,
        229.19876946641364,
        228.94675440611334,
        229.28056205779603,
        226.76931568230057,
        224.29878201828623,
        223.75930906364525,
        212.8622387388875,
        213.48419406540472,
        213.01801431587543,
        214.04685072821044,
        214.02879910185186,
        218.69749670153954,
        229.14063109328535,
        229.14167857140419,
        231.7433849575466,
        229.01479302373818,
        223.5608748788244,
        219.86708032957006,
        222.3765240733452,
        233.85278246691658,
        226.15375456931017,
        237.3477694397222,
        235.41027631151994,
        236.73225852329537,
        233.93564165227323,
        235.771146669631,
        235.5737581550586,
        248.47457965191157,
        247.16041415574352,
        243.21006859233,
        253.79600796777117,
        254.64319269224978,
        255.90509916523104,
        256.89184824264254,
        257.51491035437556,
        254.78153931398703,
        252.0619386178344,
        251.24832662499983,
        237.0530975737959,
        234.43487870439753,
        235.28383229106342,
        230.5136717669137,
        228.79709932860678,
        223.91190077936614,
        222.72069146036932,
        218.72120500513347,
        214.64244361849066,
        213.67412041654853,
        217.325623894091,
        229.75783117176582,
        226.0842029065156,
        216.42575728835055,
        220.4942371868851,
        218.79348822019614,
        227.6760890831443,
        229.04541482919652,
        227.96735785330202,
        227.0562568521067,
        227.16047558466278,
        223.16617910841475,
        220.2738841795733,
        218.87886087202529,
        204.04628831333105,
        180.79831774624353,
        174.98131466268205,
        162.32858463119572,
        154.4378261882594,
        158.51115631186076,
        171.79490290082126,
        203.54099391914642,
        215.40526439203018,
        238.9269791653586,
        255.9068956094592,
        266.52315210673623,
        272.3601316488754,
        286.10007812446435,
        291.2964275772085,
        296.2289141767834,
        299.6642487412337,
        303.0079351127371,
        307.6358004147877,
        315.20119972469047,
        314.549066361763,
        319.92841118404357,
        326.8607171888459,
        321.1015614048929,
        318.6677249375703,
        316.25434895153273,
        311.0125220369398,
        294.5261021494042,
        253.76028717827975,
        181.6653263776174,
        130.29324936534266,
        114.68048498887737,
        100.37907913151444,
        90.2427383299587,
        71.64698133626973,
        62.46309847683262,
        53.49559386011394,
        41.657413687669504,
        33.8006252580551,
        29.31375602283125,
        31.465387293379976,
        31.171528402934843,
        33.05707882800894,
        36.66792455336278,
        41.329217977942406,
        44.60794326407767,
        52.66607631051805,
        54.07553806674577,
        56.32277845437582,
        57.754945001584396,
        60.57165436679337,
        61.498170521323594,
        69.30447988932983,
        75.10548709647922,
        79.92801642748042,
        80.46305153065416,
        78.19718197219161,
        77.74818973925235,
        81.55573775535503,
        82.2724781426136,
        84.65789585210847,
        85.43246555171893,
        85.072376543461,
        86.15133360097903,
        89.1602387590132,
        85.95390128089356,
        74.68405594404506,
        66.48141509121817,
        50.58486899895477,
        29.815147507881317,
        25.162710678414033,
        11.198643771764056,
        8.557839969535591,
        8.855979810727673,
        8.259277254062221,
        8.696205140641553,
        9.174126157355072,
        10.074732476722916,
        11.151081773164535,
        11.694484072712195,
        13.483787229804308,
        15.186228710593696,
        16.088564599891956,
        17.712466049583536,
        20.17014114828843,
        22.96443771565546,
        26.333596843153124,
        30.62080974708366,
        36.317095814315195,
        42.79793331294732,
        51.517736260138605,
        65.23670861879981,
        88.54419790474101,
        130.93436089809694,
        197.90866448634688,
        268.9838679025721,
        301.7493224981643,
        311.81848126440974,
        320.40345196736195,
        327.0374133840272,
        327.9547580268387,
        330.10790182630615,
        328.7707978364665,
        328.8565744340934,
        331.9625374870061,
        324.78116525861924,
        325.7980581926676,
        328.413025518063,
        329.0023932681423,
        320.95986254929704,
        317.6995825612758,
        315.4999563491256,
        310.723001785249,
        302.2268593085206,
        291.5394967749135,
        263.962784248909,
        260.3461344013209,
        249.34567205924503,
        239.5687810920526,
        231.26648151948078,
        239.33501356095042,
        237.78320664241474,
        245.15153651976289,
        248.47506834288845,
        250.6300495510796,
        251.88607342717603,
        249.4025361683765,
        246.25518396051967,
        242.86787176781124,
        239.51427704862044,
        227.96367135759826,
        225.25397938841812,
        229.87616396318901,
        229.10304145777198,
        231.05917776549495,
        230.7846646197238,
        231.14575469315005,
        229.6738812207949,
        228.1911779171267,
        223.55622729637665,
        220.66194331399416,
        230.49546175229364,
        234.41677899762678,
        242.52083440116482,
        253.2082410741442,
        254.59756278592766,
        261.8406350943479,
        265.38779838061726,
        271.9494353256403,
        281.0898339698686,
        291.99136064988124,
        292.4026258577993,
        294.5770739130045,
        293.7374638309431,
        295.26237844003856,
        296.1425954833224,
        299.84411633599984,
        301.1102640332636,
        303.34322590156523,
        301.95783451492395,
        303.6693272450131,
        304.65274589582486,
        306.36089047837703,
        307.7123198757596,
        309.64991347178056,
        311.63424332270154,
        317.16020718688,
        320.94602404547317,
        322.84171958629787,
        324.1023476483841,
        321.36222211341385,
        315.04012404492516,
        316.93822383324675,
        317.0110956983731,
        318.66302789532216,
        317.8138153294849,
        318.56654354457453,
        317.3783432509763,
        319.25306181971956,
        315.64335038973326,
        316.94714903679375,
        318.7984825252908,
        317.1570194073239,
        314.48683931560754,
        317.0424709507598,
        316.8417929088196,
        318.2337549078093,
        319.98353565613434,
        319.68553369623504,
        319.4715190839507,
        319.1566237527307,
        318.5055586170087,
        308.61035233278164,
        308.57249555064357,
        308.2927388824331,
        307.3924560377564,
        309.7946707738051,
        309.9209959929534,
        307.87372992845707,
        307.72129920420707,
        307.7880094057246,
        306.8904769621483,
        308.18864684092836,
        306.8678496233883,
        306.5508804735391,
        307.3208191595948,
        308.3261024602713,
        308.9870868190612,
        307.25056220759626,
        305.57511580612095,
        305.9134451078938,
        303.2525502450444,
        305.98579635734905,
        304.4816703182631,
        305.6350183707259,
        304.7877624728225,
        304.00822080610413,
        295.47236732796813,
        294.7566275939857,
        293.8135158210638,
        290.9062015295665,
        292.1248362692361,
        290.372640761384,
        289.63417711228607,
        289.4129359422425,
        288.05357533335706,
        289.30491066381916,
        290.95565857592874,
        292.006848046338,
        289.7611969212345,
        289.1278191667298,
        285.0751045138324,
        288.7994624867789,
        287.6838032218336,
        283.95562196115196,
        280.7149027553133,
        275.38631332334603,
        270.56162302828767,
        256.46439297043594,
        254.95864647938873,
        255.50108346554273,
        254.93943617297458,
        244.7098584716638,
        237.27795571560267,
        231.29860192546016,
        226.98835717765894,
        222.23990089396824,
        219.33271372558204,
        213.93288591356625,
        211.71475542252108,
        217.07443781195647,
        219.87374324117226,
        224.6801622174988,
        226.9263986173495,
        233.0650986841616,
        239.14165762437412,
        236.95974410037135,
        234.58989031764705,
        236.85313083158783,
        241.7890389843117,
        253.3422761922368,
        253.07980146740343,
        236.81472530743628,
        239.44216349451312,
        245.08182668952466,
        236.68974818026578,
        238.63465043394604,
        242.8186242809185,
        233.3354080969099,
        238.67427021162663,
        237.31998885181366,
        237.7226279700949,
        249.94150352516945,
        251.02027793799502,
        265.077140298171,
        275.09505237005726,
        285.371403292902,
        301.777406261312,
        298.71561285884815,
        287.8577426929204,
        284.1655656815093,
        252.53022527455443,
        216.02035180785862,
        183.30924184047024,
        157.08491454534737,
        143.773736460621,
        132.51473907270693,
        121.70712369836403,
        107.34565657635792,
        99.34504762697101,
        81.39760958454133,
        63.15009609634495,
        49.128125205977845,
        43.15761103448739,
        49.84199181249787,
        46.87540525925132,
        47.095397840301565,
        49.75195999629002,
        54.71479346246275,
        51.904208254721105,
        57.55830563289132,
        58.305118297278554,
        61.3689255764179,
        67.54426775829172,
        69.81303617200483,
        70.40946990750143,
        72.69032856271048,
        76.4971195573688,
        76.67691317491246,
        77.66810901067169,
        79.58851768606036,
        79.42552633304841,
        82.14955736409236,
        78.24704303062221,
        82.9399856733654,
        83.15375689439487,
        82.38815542889702,
        84.77557391206601,
        84.55053821975802,
        79.06998314098453,
        68.29368887256878,
        52.17641733025324,
        43.51583325168884,
        28.621916955608278,
        16.786404057003804,
        12.667838179240993,
        14.95938329106384,
        15.7062167231221,
        14.530201821555615,
        15.707268243922583,
        17.65410209511285,
        19.083789460057382,
        21.158442525962553,
        24.226218114551493,
        26.857974137317477,
        31.18132323496615,
        36.107154551847486,
        41.22907951268324,
        49.96368494847916,
        62.24156727478225,
        81.75908599471524,
        115.77337312345027,
        173.8139959201761,
        211.6253717123882,
        250.17574920494744,
        262.7203622352588,
        282.19504044983114,
        298.67970827317725,
        316.998232707632,
        326.1236245623709,
        331.9566584924684,
        338.14009636710193,
        336.21350078554036,
        338.88808988706694,
        339.14662217816004,
        337.1477216500958,
        337.6476537180455,
        332.46038446803135,
        330.7414275530904,
        332.21028010618096,
        331.4417392509731,
        323.361260478229,
        322.14088338883,
        322.7634651525208,
        324.1246678560901,
        323.51349280877645,
        321.75591346728936,
        320.57862373950894,
        322.9456171284238,
        323.0441863796081,
        322.3384472659389,
        321.9860412072448,
        314.6932801640138,
        312.21420255202605,
        312.69233112348337,
        315.68849386430855,
        314.671683665171,
        313.3848027504165,
        313.63413454440365,
        313.83176880966,
        314.36431863702524,
        314.7241842110005,
        314.56854094298575,
        315.0238261297375,
        315.8515708191797,
        315.86733881278633,
        314.55635022002485,
        314.7345606033869,
        314.03242661784134,
        313.01115511116376,
        312.52972676782116,
        314.8884167509855,
        313.05663155324174,
        314.1481679264429,
        311.8021657290354,
        314.4020245072006,
        314.56369898089645,
        312.20794742866826,
        309.7266335776116,
        312.34868635628146,
        312.8599150420389,
        310.12955354348645,
        308.94055108714997,
        304.88163323542375,
        302.1946671628592,
        305.78143261441153,
        290.0346565466228,
        278.5346775095328,
        269.829898802015,
        263.7216847409765,
        258.07049202533403,
        250.43687131094754,
        243.17529084883932,
        244.3617909289878,
        239.87772957682662,
        242.320219260331,
        240.75033745337265,
        242.21073311473592,
        245.06351436054535,
        251.90574976933783,
        251.68307144174236,
        243.99099353114923,
        240.34587890460907,
        238.85382303804573,
        243.96701600970937,
        239.36487449334538,
        239.05076641478252,
        236.522607565868,
        234.244345352559,
        233.72330197197854,
        232.8746843017702,
        232.4617349486718,
        229.4297853626119,
        223.73519817964066,
        225.9113425885942,
        223.10468218598427,
        217.7811193332249,
        221.93003684128803,
        234.50017691737997,
        244.41233369898856,
        246.43810868734963,
        254.08499762151217,
        255.43255213998762,
        266.6912745737663,
        268.1817198302971,
        271.1109599066651,
        280.5737921871504,
        278.8177089232639,
        280.6417840578526,
        282.83284758282866,
        288.9424482629658,
        291.7509638762736,
        295.76851921349004,
        298.7800407269952,
        300.60462263059867,
        306.0119959107794,
        308.5694777144634,
        307.224080387859,
        309.3665136220735,
        316.4655540610713,
        316.60550984023286,
        316.3066959070735,
        310.6055253402699,
        311.3593564677767,
        312.3868621559144,
        311.162388440092,
        313.85221963572974,
        311.7167668986693,
        309.73547386055935,
        313.6187910012324,
        314.7469769481686,
        316.3654889889684,
        315.90600955141593,
        316.3643650033164,
        319.27179714105745,
        319.2296616994597,
        322.44587600502666,
        327.1313442366768,
        325.7136526701493,
        326.3014229099025,
        326.77822127801284,
        325.5426596108674,
        327.7439227548102,
        324.3690702793194,
        326.0687956901455,
        314.2464985963399,
        312.64738526887413,
        309.2127489945394,
        312.3920674541081,
        311.8550639445985,
        311.32445335805545,
        309.7441524208917,
        311.5704795755687,
        309.62085125571235,
        308.68171199148657,
        308.74849062754924,
        308.93900298455304,
        310.07798710236267,
        309.9822714821123,
        308.20852788852926,
        311.1400633250165,
        310.13238295786624,
        307.1363395739791,
        309.14199791095757,
        307.65646406523973,
        307.71698450790785,
        304.3349075204354,
        303.2227379786267,
        302.17564904702874,
        302.5768495166663,
        302.1148971053406,
        302.3556170582177,
        296.65052280539635,
        294.6848989017937,
        296.6101001497526,
        298.06445549104575,
        297.5901617275934,
        294.81881561067235,
        291.21735230141456,
        293.3736306156832,
        289.73914273438527,
        292.6802801819847,
        299.112162499866,
        298.0142056641722,
        287.748408441539,
        294.6283042748722,
        292.2892942613095,
        299.3715663223046,
        300.12863341179343,
        287.25463981215023,
        288.3407802462355,
        297.6760517413977,
        296.27009638374113,
        297.2331716469262,
        291.545634814641,
        289.78079328958,
        282.5672908730776,
        274.90965085477467,
        276.5436145720117,
        272.4193814520418,
        262.2030290245772,
        245.66441541787918,
        235.49241077082115,
        230.08849471237096,
        224.87385877210517,
        218.63714478131612,
        216.38996850518416,
        214.60874952394443,
        209.9434595458408,
        209.5308810133815,
        209.9134548304658,
        208.70684311904375,
        211.19939883533317,
        221.10407005460755,
        226.92674978863275,
        229.7170698417629,
        233.51197762627757,
        237.75948811813788,
        243.50854685465382,
        241.1416630375191,
        236.22131409268894,
        239.26127529341883,
        235.29849824124972,
        233.04764212666893,
        239.79718335466404,
        249.44204459942486,
        257.8386020034758,
        258.82570624543473,
        262.27555253691025,
        262.16718925469786,
        264.0911210000073,
        262.28814150002086,
        266.997765193777,
        273.8238911220408,
        281.1687591127226,
        291.41656347021404,
        302.08055719069495,
        306.3144599637443,
        307.4008018218551,
        313.1025932118838,
        314.3018144455893,
        314.2520358213051,
        316.4661564276213,
        319.21555959912996,
        317.7772918657211,
        318.8447436331787,
        317.658346068218,
        318.38586673100673,
        301.75950303772356,
        267.0684910295227,
        197.1364426677688,
        155.4281933578773,
        140.95328806768222,
        129.7905929602974,
        124.56795412583787,
        119.11958998470793,
        114.37935130315508,
        96.15899664572676,
        72.75828445951555,
        55.249312782551335,
        46.617421149777215,
        44.55402741546512,
        48.909971425729026,
        51.09558481827081,
        48.63010450647286,
        52.340760989818925,
        53.65201859080927,
        55.49042896306071,
        57.18818752123657,
        55.37647892512559,
        56.600536659722145,
        57.8899232583881,
        59.92484298046256,
        60.54247136367868,
        61.7656487987246,
        64.20356646106741,
        65.93479660402447,
        68.31540574481157,
        70.14477247805449,
        72.23085865868464,
        74.3423681839471,
        75.35473345204088,
        74.81368669595902,
        73.72113306842995,
        74.89474968779092,
        73.86023033890788,
        72.09015293763383,
        67.40414856615052,
        62.023090620277834,
        56.01444550314055,
        30.488341638550818,
        23.49908742081428,
        15.974820542423677,
        13.912713748203343,
        14.496603724065487,
        14.615141051986553,
        14.911734293195785,
        16.083327850467242,
        18.243766435436214,
        20.031895784094953,
        23.72041231045495,
        28.048850890618766,
        32.0977315260322,
        37.25096532658705,
        44.84029118876516,
        54.84266854909142,
        68.50092978721781,
        94.90609805510506,
        138.3574615199289,
        153.46523799042822,
        187.61461418489864,
        227.86206010758187,
        243.77701587935044,
        260.9287901165495,
        301.1042395019484,
        310.7044415665358,
        318.5957493782198,
        320.6193494263532,
        329.8998101388014,
        333.9474926327546,
        332.02064186411593,
        332.73373297005986,
        336.37448962515265,
        333.1867397225651,
        333.7439948611005,
        327.26701613994953,
        329.04924243062766,
        327.30600111667496,
        329.719472996205,
        323.2115641342267,
        322.2756488538134,
        321.33781717212776,
        320.6683810259155,
        319.5239541794632,
        321.78729666325887,
        319.55946546458745,
        322.1120255748602,
        310.16312723156847,
        310.5104878887912,
        311.2131817572696,
        309.201018816157,
        309.05688309481684,
        307.5732310461914,
        307.6364056575991,
        304.69270997503446,
        301.1182840837045,
        292.5473916832377,
        285.6982218277543,
        279.1722138644114,
        277.79930510525776,
        273.8296511886125,
        270.78041259109943,
        271.18417722770783,
        266.59131076899064,
        260.80586604951117,
        254.55006686542532,
        248.6103633822937,
        250.1934559729723,
        249.5624369678007,
        240.58119765607938,
        233.95345399706116,
        233.21524762990143,
        234.10272369604203,
        226.60217917462867,
        222.08819721084717,
        214.28705938057405,
        206.92766889515514,
        195.56528570277018,
        189.4600603942179,
        182.52489608453806,
        185.88445346763794,
        189.84926769068213,
        201.95511978902462,
        206.56446311136415,
        211.9586542521598,
        224.08778820649877,
        230.58918657797366,
        232.3599313772121,
        241.45360969323363,
        244.55811322435582,
        249.1006569085135,
        251.73005774325455,
        253.86159627091178,
        258.5047580722446,
        262.42497771481476,
        266.21854765783144,
        271.7929433733068,
        273.51759798447046,
        267.533864429406,
        270.96450656085005,
        272.1899871929652,
        272.01348582915205,
        274.9988487697642,
        276.5806660726193,
        288.04512645619366,
        290.917416621074,
        292.6842584238185,
        295.22412607281825,
        298.5444092045956,
        299.83359307966816,
        301.84095574602026,
        301.73889296400586,
        302.6671854913906,
        302.5867928888638,
        303.4480274177437,
        303.7590472278151,
        303.21220153058744,
        303.84360313878926,
        305.62184266691787,
        303.9130279950163,
        305.04203066154446,
        305.21882342697796,
        305.1741325430281,
        306.61360627644837,
        306.13237703497407,
        308.1650968721167,
        307.56020758147065,
        309.6165657847461,
        309.6563705670261,
        307.82213148795216,
        310.36898930335803,
        310.49958294541625,
        309.73894769489493,
        310.09010140412687,
        309.34586764664454,
        309.641804027102,
        311.1963479321787,
        310.56343282153165,
        309.64556056502164,
        310.64182419290427,
        311.1030153141096,
        310.63474721616836,
        310.3958838170913,
        310.6847177493243,
        310.6111100959485,
        310.47724718607776,
        310.94443837726726,
        309.93388171572894,
        310.9977214381463,
        311.09419474048957,
        310.4967258079838,
        308.88567157097754,
        307.491817229019,
        304.9555741279253,
        304.78200469857194,
        300.1332172638045,
        287.83619841963105,
        283.9291980243247,
        282.6482959843856,
        282.16138860997637,
        292.01198660594775,
        290.94939254857854,
        290.5176716252576,
        290.05667951486515,
        289.0564322854489,
        291.03764635887154,
        281.3144331937339,
        280.2678300213262,
        279.27615428962815,
        278.0508033798357,
        275.97906276155,
        273.8033987021693,
        271.0535022484968,
        268.4509801861693,
        265.3075480280851,
        260.03957500738125,
        261.075499806706,
        258.9577080673904,
        246.85830962246823,
        243.65024196463563,
        237.9113591123646,
        225.49680627096035,
        217.85408921735447,
        212.72852529191184,
        213.37493510531147,
        210.3186102921803,
        208.67505293174702,
        211.46319651692704,
        208.0953785545046,
        210.60795919852072,
        214.63794061834886,
        212.34085385712658,
        216.60505822158302,
        217.14193587968506,
        227.7089126403556,
        233.02505220483536,
        235.85053194918837,
        233.79027046274993,
        227.40162219625384,
        226.33148017847526,
        227.37367209479723,
        235.66456947055818,
        245.74231767213857,
        244.27249840877818,
        244.34899298439478,
        249.06764744030346,
        255.06968046173586,
        255.2736209856696,
        254.51151072648858,
        258.3669090498778,
        260.8459151339804,
        262.63131999601677,
        281.14467766972285,
        293.11271632850827,
        304.25370572629845,
        302.17068808440104,
        310.6347287717334,
        311.9005406150535,
        313.8401572254319,
        315.5264604179161,
        316.9938419934917,
        317.1737590331841,
        315.7238431949065,
        317.3803684148823,
        317.08419478878454,
        317.5813208339537,
        317.2588814736066,
        316.3643655603186,
        315.2862506310249,
        301.1845564599556,
        263.8555353120497,
        192.2100487539492,
        149.17526041508378,
        135.9138429070303,
        118.91561549704741,
        122.59482348706278,
        133.1591808815029,
        120.76586648315728,
        89.79513881802444,
        64.1007876977719,
        47.99211479484955,
        45.46793872963533,
        46.62161599278861,
        49.88384688451111,
        51.149192653062066,
        53.880423505410896,
        53.820625906296506,
        49.063605468404475,
        52.10384756262032,
        59.35353569561942,
        61.21827131762709,
        62.1057285164904,
        64.14659424371867,
        67.2660962636689,
        66.9278550909347,
        65.93102395541764,
        64.91468532452039,
        64.89083709118951,
        70.05022018692114,
        72.38279904393329,
        73.11316706020195,
        72.08590790444813,
        71.52339201486208,
        74.1337124488516,
        67.21008941097597,
        65.33576665832128,
        61.160054439880156,
        60.863544274236546,
        53.930396401418555,
        40.5594897415538,
        19.51800118000831,
        16.42683011174876,
        14.325581941674074,
        14.223285950633107,
        14.850402921530637,
        14.627230988280218,
        17.161468746954387,
        20.03423469502627,
        22.3103603583421,
        27.284538343442488,
        31.906650208450813,
        34.60365898514525,
        44.56764176112031,
        54.79791955746925,
        60.12889458126376,
        97.89274710521914,
        133.35445801323314,
        143.23075861622166,
        192.8338251688449,
        215.8392996332192,
        227.53173847448073,
        268.8232374667979,
        290.7581076666178,
        293.07133719195446,
        320.2618392765739,
        329.40025302801365,
        330.65258708891633,
        335.35295508363413,
        340.1498969162257,
        340.2095564862288,
        338.33085949222874,
        340.24031320981584,
        337.7512839192522,
        335.9168966623898,
        330.3763542429699,
        330.6908418506889,
        330.61913993296474,
        330.6223734940674,
        330.8606298346154,
        320.9327952213418,
        322.12346948605733,
        321.2475804349923,
        320.1778500407641,
        320.215483281051,
        321.5231676417033,
        321.2791602805285,
        322.21657205040054,
        323.2922050643476,
        322.43313406816327,
        322.9233077128009,
        321.5481163852514,
        321.98319429162825,
        321.6349319207456,
        319.89266608532097,
        319.5716058541599,
        321.17962383020654,
        320.4503928070926,
        320.9344614880088,
        308.789118135708,
        303.13779004779025,
        293.1468011861332,
        286.51460583440496,
        284.25537113826994,
        281.6559970682508,
        274.5571708705567,
        273.5612197534798,
        266.52938705582267,
        263.0643872394305,
        255.75042002336932,
        252.7012231118754,
        247.9276544117108,
        242.99840258054263,
        234.19997930054018,
        240.43762161023062,
        247.02529618501345,
        240.50067598870257,
        232.51758118837114,
        230.84122466042572,
        228.37231247106484,
        222.04247608723472,
        214.25693742340138,
        203.49099232595466,
        195.79343384987152,
        188.61303023022734,
        188.79347070802234,
        186.45127662840744,
        186.67111467836907,
        193.20121736038223,
        211.40817349859458,
        220.34538860188115,
        223.93884216779497,
        222.20397466398953,
        235.92345043042653,
        240.58212455270058,
        241.6238822493312,
        249.53105900109986,
        251.0046862258597,
        253.22495567984777,
        258.17688377957427,
        261.70762965680217,
        268.30202455952,
        272.5004648426694,
        277.7511546795848,
        279.73497532906237,
        282.1051064937367,
        281.74163182237294,
        283.10494751236973,
        288.4959259644727,
        285.86249634918886,
        288.44026308779615,
        295.6093052389816,
        288.66408172653877,
        289.3923191864371,
        291.10506177541487,
        291.73639843657696,
        291.0917046183456,
        293.2968996869621,
        294.6311664299729,
        297.1422021846018,
        296.1134373992035,
        298.97006930203827,
        297.5454217491147,
        299.2790988500755,
        300.79751166622015,
        300.41938116129063,
        299.96789946577087,
        300.8793685786449,
        303.298383865798,
        303.488766033215,
        304.69773151512493,
        304.36037178949834,
        305.34123314885244,
        306.8542903593506,
        306.988773623431,
        307.27148517586613,
        306.786640161566,
        306.7332368535778,
        306.60153349781376,
        308.3498814273816,
        306.189154051447,
        307.13227226750826,
        306.2234488124435,
        304.1012268374878,
        305.2973938205964,
        303.8106918914145,
        305.07083056414467,
        305.0624929921418,
        304.6974318359041,
        302.97866955610317,
        304.45207377355,
        303.05000168050753,
        303.43604466239697,
        298.2263493041569,
        296.07452171344454,
        293.48408755375885,
        289.6956703026519,
        287.60577078932755,
        288.87940307753115,
        286.5747354058864,
        291.37792519305134,
        294.87238304251156,
        297.1181961571207,
        293.9607512344151,
        292.01472810521545,
        291.80286497335555,
        293.8059593517621,
        291.3826111813862,
        289.34062296054947,
        285.548248808682,
        271.83235923999376,
        270.7657157961665,
        269.68535954981616,
        265.8264976667862,
        264.421749879185,
        263.0009737694425,
        269.7199871476349,
        267.2807070060718,
        260.74357981004965,
        253.61341288826932,
        237.322026142967,
        236.57772492069617,
        230.65431839902686,
        230.27746936359114,
        227.54558613890958,
        230.7407182269543,
        232.66804631769628,
        236.13172745019313,
        241.34720807370329,
        232.00579614918928,
        236.3169579196459,
        242.55097477704874,
        246.4509941099973,
        252.60023736642276,
        256.4754602451983,
        260.6229838437305,
        262.77582013986523,
        270.9318312072743,
        274.7634819727244,
        277.0162723858234,
        281.0200300701281,
        279.7271726119927,
        285.9316581282119,
        287.77240506949255,
        290.53535834468596,
        291.0815878216731,
        289.89227231079724,
        295.21176472913965,
        296.0666247201592,
        299.05400114036473,
        301.15081045459374,
        302.9197289862926,
        302.6562637298537,
        303.1473269390211,
        302.6798003120497,
        301.45248468432015,
        301.13384952853403,
        300.90713263867485,
        302.7999787617954,
        303.21033016541713,
        302.1172924414161,
        302.39808390932313,
        298.43720912261244,
        280.0293043466352,
        233.23045707826978,
        177.6084128680675,
        145.64245296393042,
        133.1712481571234,
        120.6600972823907,
        112.63376396139935,
        103.68811766627385,
        84.14140886847044,
        75.19100630435183,
        59.96871804820823,
        50.78614255750668,
        45.91309967989144,
        48.3265595910008,
        52.02734264240017,
        54.02964470550104,
        57.153257270140585,
        59.08839547502966,
        64.2807003192602,
        65.2407288885753,
        68.93146124479489,
        65.83365938219559,
        68.06877723421272,
        68.10643758224029,
        70.64095872969438,
        69.22501937582334,
        71.34173554468862,
        74.53768534017374,
        76.09280407064912,
        81.483212543477,
        82.86177291072588,
        83.476365353609,
        82.34772858758147,
        83.24323963628056,
        85.4379636854195,
        82.52238060991735,
        79.7277610864626,
        80.277241017358,
        70.75870284740311,
        61.69435255634109,
        48.05526619983352,
        29.825100183205826,
        24.82799041815864,
        18.41248133034714,
        17.24664558316401,
        16.953572048598023,
        15.477698183812697,
        16.192086863124537,
        17.061261843457615,
        18.657108633985917,
        20.321208313390024,
        23.57389350675051,
        26.44371891878022,
        29.036454384877818,
        36.76264576480013,
        42.44642218966543,
        47.87339254633469,
        66.11294961549618,
        86.98651033934242,
        111.6249921945107,
        142.1210531211801,
        173.6491478613016,
        198.52119809893364,
        226.81396365996721,
        245.15744988286824,
        258.47745585076285,
        298.7157652269523,
        313.2844502084016,
        316.5944048493455,
        320.10689893967907,
        329.0957986030651,
        328.8994063496936,
        331.4218416424787,
        332.21511054834866,
        335.7133632459694,
        333.1140872156997,
        330.43052714218,
        331.18593711388314,
        330.13552539750685,
        323.77213557188975,
        326.51274779906004,
        327.8160866538447,
        325.3256450883214,
        312.6740960552911,
        306.91931951876967,
        300.761458313206,
        301.9334958906504,
        302.15911694185223,
        299.365255510363,
        296.94221752176117,
        297.402122048497,
        294.1360423230452,
        294.578455155913,
        279.74207350460057,
        272.15366103625945,
        262.8528605155765,
        249.00526717621406,
        235.05874440043036,
        227.04800761650932,
        220.1803582968121,
        214.9028602179298,
        205.14650341661854,
        199.56684052690838,
        198.29034385104384,
        203.78004781637193,
        205.28386815924821,
        210.41602692592295,
        215.9005185238684,
        220.81921951551357,
        225.4817583557694,
        233.78987486238844,
        246.16468930259856,
        251.04861742429267,
        253.68169850732397,
        255.64924008384872,
        254.7893566653321,
        256.5734539870743,
        256.982485206268,
        258.50531435475574,
        258.2504110545715,
        254.2603234409075,
        257.08840529262284,
        257.46200073077233,
        260.586955622286,
        263.00846290754754,
        259.4625404766159,
        260.2334799929268,
        273.1155733319317,
        274.7056278895202,
        275.64055416872407,
        276.90559968509933,
        276.32891049597123,
        280.1640253819279,
        285.4358608199161,
        287.0821283607635,
        287.3241721130903,
        287.8375065369386,
        286.1129947425704,
        286.6442726160308,
        286.79930180871224,
        286.8910599781156,
        287.42394660237,
        289.1215143125734,
        288.4137710519891,
        287.4507040844696,
        288.2555295452697,
        289.354586079297,
        288.56022835200855,
        285.78362343990904,
        287.430412429202,
        289.49618112611904,
        291.4777452726469,
        290.5412223989144,
        290.546667326467,
        288.03697798326147,
        290.95126596125374,
        286.6421883330123,
        285.9355759912791,
        288.9741754030006,
        236.89417794561143,
        240.3735724969426,
        237.59967423434796,
        238.40489299246062,
        238.16166845248452,
        234.2266982837065,
        229.96944727720935,
        229.3568218674647,
        277.8401558070973,
        259.13324075100735,
        257.9754905882365,
        259.5650617942946,
        264.4702142059702,
        260.3568511309776,
        265.86454591874013,
        276.75975920672937,
        277.9478448661511,
        284.17392585057166,
        285.0317231039666,
        285.3582709092693,
        287.09416375899,
        284.72715990744575,
        286.052295432226,
        286.520559657862,
        285.9235754936312,
        281.6519700286483,
        279.1378556924429,
        279.48565380198147,
        279.468620553593,
        276.46709429910607,
        270.5730741039792,
        269.17242940781784,
        262.53412342780257,
        258.81172141316625,
        254.1426348167125,
        245.59003853641687,
        237.51949993824846,
        231.80589121647577,
        227.27863131712277,
        226.5107863332948,
        231.6928045645066,
        237.24873765021312,
        234.85385289603215,
        244.75337555876033,
        238.8362235740122,
        235.02133112196736,
        237.0566231904436,
        240.05993678930457,
        237.53003258463082,
        235.92926472219392,
        246.81546536006013,
        252.893057107232,
        258.092456328399,
        262.29603082670513,
        267.0488547442839,
        276.586730172163,
        277.18522824767314,
        281.77748365577406,
        284.53332259315334,
        298.718731298558,
        295.7690773349651,
        301.5101956862125,
        304.61934492326844,
        309.06070468139194,
        313.3151410777067,
        313.63448938764367,
        311.40374242700176,
        315.3787137077424,
        315.4930235458079,
        313.92731112576246,
        314.25011708339053,
        309.1187222078629,
        303.48618911815174,
        304.077815175897,
        304.1378544170736,
        304.638707004028,
        303.0505750935767,
        302.9551940891591,
        303.8306072651094,
        304.1632802879582,
        303.90721246712076,
        303.6822791504502,
        302.39838087263706,
        300.93519029336255,
        303.1571871543946,
        302.71485247455786,
        303.6793385266433,
        303.33238672858204,
        303.46815264019745,
        304.3088736905442,
        304.23549936430055,
        304.06447772677285,
        304.174839376063,
        303.60002986753915,
        303.8721474453269,
        304.0886178877696,
        301.34220668699464,
        294.34662809850414,
        279.76741634012745,
        255.14316059262194,
        218.42541791871426,
        189.9760117997529,
        166.07519875998108,
        146.8011312979238,
        135.48353789604826,
        124.4356041974918,
        110.78909505007178,
        99.97822988803486,
        84.08865353263579,
        68.03838284540885,
        47.87078011350158,
        34.86276546932214,
        29.92363462039636,
        26.94094654069111,
        29.53285336270733,
        33.84485494007048,
        44.41695492705972,
        46.21220084619077,
        49.666827226299176,
        53.71482774981748,
        53.576308231978444,
        58.254341704229105,
        55.156591069759024,
        68.7065563457754,
        71.1410629783221,
        71.81019697033274,
        73.73078919492652,
        73.67672128083855,
        72.42037850016513,
        76.62951297295324,
        77.84452559365155,
        76.17949833628913,
        77.5098809940604,
        79.6787727735825,
        82.64587677951401,
        83.30421466590617,
        86.68749623281163,
        89.67642553592144,
        89.6841728058321,
        91.59022075978963,
        91.39069007522936,
        84.07357212280131,
        81.07088641031405,
        78.57398798656021,
        86.0240259655924,
        83.72968315395308,
        77.76862809705267,
        81.87461190444462,
        80.85316549764195,
        76.72515768560504,
        74.75294161710374,
        76.86037905092391,
        81.93097909329246,
        91.04394013811692,
        92.36973120200376,
        81.09966020769534,
        73.59667425045744,
        57.255999334969935,
        42.783642216181896,
        25.402775880720853,
        21.62308991470009,
        19.793803159627288,
        18.81623737265294,
        18.487152026233236,
        18.730368554323174,
        15.146631578180008,
        14.233816147179079,
        11.9768727167153,
        12.290673491158891,
        13.796881482357309,
        15.74439224751674,
        17.383594449894762,
        19.285804387967243,
        21.611596452287063,
        24.425510585957458,
        28.426623606526682,
        32.87851751962655,
        38.30217975372802,
        46.396434293751526,
        56.60620202160939,
        73.05725138562154,
        99.79709480525186,
        147.86192418581652,
        216.34451694740267,
        259.8225668526728,
        280.88740643931555,
        295.7260793806533,
        306.93263302112035,
        317.17576188732045,
        317.8740875684316,
        327.2743890006442,
        330.38028521468436,
        329.77427924787054,
        330.0015662692474,
        333.0476410701518,
        329.7184460997358,
        328.41734852304336,
        328.98984782276506,
        327.81494459723945,
        323.73681334495535,
        324.1467689062611,
        323.791209019413,
        323.1314304048886,
        326.19722003818043,
        324.2267651525238,
        316.15626171613576,
        317.12353719911454,
        316.5067121164664,
        318.23993090667057,
        319.4843125248473,
        317.60067763757036,
        318.02535238641127,
        316.68333847867854,
        315.8539974768033,
        317.2037846991058,
        317.3762191403956,
        315.60368206688094,
        317.2332601056824,
        318.46467422213146,
        317.19376959873694,
        318.6192594687374,
        317.9467534332647,
        319.0020883483728,
        317.89284262591383,
        318.0076532609305,
        317.0939577462873,
        318.03610410325325,
        317.9030709829438,
        318.47468890906447,
        316.6232448829426,
        306.2014817174682,
        305.37072774807,
        306.71659942052406,
        306.70370102244146,
        305.17927928685293,
        305.85574117647445,
        303.19243237902276,
        304.7437822030147,
        304.08067525264477,
        305.27364403378414,
        304.3638682839128,
        305.73702276710225,
        304.9138722413394,
        305.0594926720888,
        305.21200581054205,
        305.0410565672803,
        305.4064279475035,
        306.4073058076259,
        306.12557983351354,
        305.7513042134309,
        305.83334804188286,
        303.2828327595525,
        305.22051527319906,
        305.54569602956775,
        303.6133106582252,
        305.10565481452454,
        303.77959376431494,
        304.0199567127488,
        303.3998983394103,
        303.6765374049747,
        304.068962615205,
        303.08593457282217,
        303.51678795039794,
        305.00084969163095,
        305.36408116670873,
        305.4217882458145,
        306.58519843292123,
        304.0874088520233,
        303.6762061387229,
        306.0021042213899,
        305.1506252819089,
        305.0358425335166,
        301.9451987548573,
        302.8189265795625,
        306.13899222174746,
        304.70991378820804,
        304.78360768635747,
        306.63296318622497,
        304.06887222628643,
        304.705473794777,
        305.00015524601747,
        305.3534940301211,
        305.2016801268934,
        304.95323198397705,
        304.845570460848,
        304.8348892810773,
        305.75299189890154,
        302.4671070329832,
        304.5935528502283,
        305.02303156884904,
        305.25986500544604,
        304.63587311090856,
        304.34669719071246,
        303.9024139069605,
        306.1244364868661,
        306.99360050546136,
        304.9049332286587,
        305.656317331306,
        305.35068379691165,
        304.76979497406876,
        305.0226853906701,
        304.5936311700032,
        304.33493910223376,
        305.48355593145743,
        304.3204962179856,
        305.4276623362212,
        304.77166243188105,
        307.83889660443384,
        305.2609253167042,
        301.5435279404958,
        299.0293287046325,
        291.4061228715715,
        287.01984387091437,
        285.07583145848025,
        281.9940050774736,
        278.1649053831028,
        274.5932585098485,
        270.8529903212339,
        267.33436578077715,
        261.6313997732267,
        255.67527610308798,
        247.595755201541,
        239.75647624941115,
        232.45421371165625,
        226.99447793970452,
        227.20407663286008,
        221.3479966688524,
        219.21907726465764,
        214.8480693253548,
        213.41276394999613,
        214.5574281323824,
        213.96262864480968,
        213.412715239825,
        214.91481223786263,
        214.88518699664627,
        216.77504152855843,
        222.08428030224664,
        232.93586321051134,
        239.96405843067518,
        241.82211128781114,
        243.37069228505231,
        247.26711236785945,
        251.5300519903986,
        254.44206417022514,
        257.0802330059181,
        261.4441252792199,
        261.1253162867509,
        263.57001951264436,
        258.0720645382348,
        259.1125338543801,
        259.06574966966497,
        260.44666761346474,
        257.1338198047273,
        256.00354551998055,
        262.1418259643173,
        265.27708665376167,
        265.8908615752792,
        268.8067162282934,
        268.4995055078577,
        270.1359427500652,
        276.65839045644947,
        275.8065342530218,
        279.8492608655952,
        281.68617191382185,
        283.35901102169515,
        284.0486346138628,
        286.0830508563601,
        283.6104047760187,
        284.32782495201843,
        286.47902935381165,
        288.08516935758814,
        286.78088357201483,
        288.33576601410846,
        284.659849016894,
        288.15317162610756,
        286.84954138926855,
        290.16150290040997,
        291.40061916896565,
        289.81456340874087,
        288.12504681593225,
        296.1341627224287,
        290.4479406831987,
        288.3812421073901,
        288.8749904391814,
        287.8191379512787,
        288.94304504330154,
        290.73182572849095,
        289.16139235702906,
        287.01001523375345,
        286.685429646014,
        286.1915363630494,
        285.2268872946888,
        284.20843701804506,
        284.8526329544444,
        281.4020575226939,
        286.87626004739934,
        283.11258262541656,
        281.37571445708085,
        280.9369445880999,
        277.8475610228109,
        276.28299656300027,
        281.3142598705775,
        285.4098923857465,
        284.32257011490816,
        279.682811565236,
        282.40228402948367,
        276.50259813716855,
        278.49503902373016,
        276.0436466372924,
        276.4724698097512,
        277.55483056390887,
        279.7043211277205,
        279.7603573093158,
        277.7867197363562,
        277.8148738631213,
        278.25338127858157,
        276.65703217750706,
        274.65246403514595,
        276.095876396556,
        276.43481651384633,
        275.18737723636696,
        271.6741028028319,
        269.8515561802235,
        265.76887396258604,
        262.51612207370266,
        256.2416445126946,
        253.40281736835686,
        252.4181415816663,
        249.49832157813069,
        241.79160466014596,
        238.84557483234116,
        238.6803183909894,
        237.94977616861905,
        231.46295948922898,
        234.26636849838698,
        233.16548280193086,
        228.11606549417579,
        230.0073065079719,
        229.59320570156893,
        229.72300347438025,
        229.27908160671325,
        228.58593565826718,
        233.59183094861382,
        236.99128719996375,
        234.5116196239111,
        223.9358814903247,
        227.5845760363898,
        233.3111701577633,
        233.3708623378235,
        238.85537225106313,
        247.3228438271417,
        257.3039890251234,
        257.51615114668215,
        263.928835474323,
        266.3275092642355,
        271.5786979543002,
        269.060833829677,
        269.19955950115616,
        271.2560507209348,
        276.9926905969266,
        278.1825455269096,
        280.13476642523665,
        277.40096496798566,
        283.7225197508664,
        294.6653760434745,
        294.45995244108275,
        299.64222687134105,
        303.9595773750012,
        304.593022056369,
        305.7181830497865,
        308.7938195033592,
        310.0801114823955,
        309.71305662550225,
        310.63748066824337,
        312.39945994834534,
        311.74162218894173,
        312.07863005953794,
        312.87215268745507,
        313.06616612559645,
        310.64563053543185,
        311.58606965716206,
        311.1953776071461,
        313.4417988819387,
        313.9079658889582,
        312.9651815279828,
        313.8650141015689,
        312.2553847420519,
        313.7395037732112,
        311.6702013265977,
        312.3064588023951,
        311.67582836665395,
        313.50315304373277,
        311.7290547483091,
        311.4365907065728,
        311.92272602883804,
        303.74319320508704,
        271.89056918071105,
        218.74207097645152,
        165.95243505213523,
        128.50286194245754,
        117.20080242354145,
        96.52783840609533,
        86.98162648080884,
        79.83650390290109,
        66.35203252555111,
        53.15697033295755,
        45.39835736769218,
        38.483859874894755,
        36.87045430878048,
        37.990259557025276,
        38.89481898878425,
        44.15887065961964,
        47.9355140802407,
        39.85691066661242,
        40.21302335611336,
        48.9273039300942,
        50.86653856654958,
        58.839302657892134,
        68.35373589409397,
        69.57306869002798,
        66.10062230553318,
        68.53909364167507,
        72.9057639479354,
        74.96181358359885,
        75.9473399271803,
        74.69625119254599,
        76.18447036149563,
        73.73675098940946,
        65.3720672349713,
        69.9783672918562,
        73.03843343997416,
        72.67740121780194,
        69.14832673580966,
        68.92176310885277,
        65.56162759491043,
        47.04183810755045,
        21.80218460242923,
        15.493491025270048,
        11.823896474337346,
        11.30242115118029,
        11.346634690418961,
        11.82111319541928,
        13.88510504533378,
        16.83387027424927,
        19.600184715459253,
        22.836988676983108,
        25.618995539229584,
        29.742439644107776,
        33.59268120953597,
        40.40053563073711,
        47.99355479400993,
        59.631464018260026,
        75.2186407619712,
        106.54841635694413,
        155.55511082810645,
        189.95176896750039,
        229.50201932025604,
        243.11074818815536,
        259.9579168792515,
        296.0122463460839,
        310.29786035452855,
        318.7854291537028,
        319.07857797112155,
        326.7738241356365,
        332.1363624508358,
        336.62400084745707,
        336.35486422994785,
        337.13719373308754,
        336.3004905006687,
        333.48054925668924,
        332.29265992853914,
        330.2563232230898,
        329.1892962424191,
        323.7909431286814,
        324.81583413293777,
        322.5481023649416,
        323.4297899249746,
        325.42687919556806,
        320.97631278796996,
        314.95710228105696,
        314.4304240025314,
        313.8018641542284,
        314.7667170209466,
        313.9057688751064,
        314.4161491929037,
        313.5222546256107,
        312.22598341010655,
        313.56714082537303,
        313.364206627927,
        312.4717063968422,
        311.31049237098154,
        311.93905124775455,
        313.46178736853267,
        312.3270625384107,
        311.89252908822533,
        313.0819529714795,
        314.90052622413793,
        313.3781264756945,
        313.13675433583506,
        314.16433710027286,
        314.19571292568156,
        314.23164906772246,
        313.96466127728934,
        314.02620091955527,
        308.02169217871193,
        298.44290537501513,
        291.4801247549547,
        289.69775164070234,
        281.14712404582923,
        285.54926889117144,
        282.18932379371705,
        280.442228866464,
        271.99545598722165,
        258.41215888438575,
        252.30135031346447,
        247.26291589927953,
        240.56489141712245,
        235.9636286014968,
        230.35228586944874,
        222.4534089583011,
        218.60357600367047,
        217.50673183898445,
        217.21757918922995,
        210.2274081788783,
        211.31074356214626,
        210.40189597703792,
        204.52149537538747,
        206.61324034699678,
        201.3980631480589,
        197.81421185009174,
        192.96222475180585,
        188.41223587804257,
        191.56976838080791,
        196.13302155414897,
        197.80274087364293,
        205.8356845858526,
        218.18100115119017,
        225.08299515111153,
        230.01015826414144,
        224.17351144817326,
        225.33506591228777,
        230.59464953068863,
        235.1758050394695,
        249.1977093998096,
        250.35883514713237,
        255.64791005169425,
        254.9297797126453,
        253.08825538006985,
        258.60821545466564,
        265.3865608239172,
        273.7798391307406,
        277.9536886696886,
        278.19288031243167,
        280.59463589737044,
        285.8831714479829,
        287.13447062364406,
        285.98728091052334,
        290.34228929667523,
        294.7927955487853,
        297.42284085680996,
        297.7042114185474,
        297.19744884026295,
        291.5222577111514,
        293.0244975066478,
        290.77791425631733,
        291.9897118345177,
        293.588108034964,
        294.5702490507893,
        294.5896316655464,
        295.9980760442531,
        294.68249749891373,
        297.5286751032039,
        297.6927376675572,
        296.1041275377519,
        297.1310931627812,
        297.3153865632516,
        296.7729734835838,
        300.56709804797055,
        300.5066875696995,
        298.09639944780025,
        298.60432453810876,
        299.75509132382325,
        300.46162400895093,
        300.07671090284737,
        299.45143461217896,
        300.4799495666624,
        298.1163424207145,
        297.3028890358346,
        297.186890821022,
        295.27118386419465,
        293.5800592740532,
        294.52152703311117,
        290.93548034575673,
        290.4048818531658,
        291.02135261648203,
        292.7181551270502,
        293.8991708236821,
        293.59017958243356,
        294.4442548069204,
        295.7093607666569,
        297.4450385859735,
        297.38033218865195,
        297.09913194905766,
        296.04036472018095,
        294.2913158801922,
        294.77577998185006,
        292.2459935933382,
        292.3917110828772,
        290.12450615071424,
        281.287813022524,
        283.65095558049234,
        280.65517012207283,
        280.1100791631783,
        279.95324434327466,
        284.57649238482185,
        283.02153212756684,
        283.69027187940316,
        277.665188233927,
        277.99514443145074,
        280.33854195194476,
        282.0870056410989,
        283.11608596406035,
        276.5891268541091,
        263.58451019337144,
        259.94110906860556,
        247.7958997539625,
        240.79031217259467,
        231.873062708532,
        231.3114441859648,
        228.70350833177548,
        227.92734659397345,
        223.11089405736098,
        222.97059009562471,
        219.57459297738978,
        215.37811252285476,
        218.33555635523862,
        216.04302342301352,
        219.2100621848589,
        217.73711145062168,
        221.4594227362549,
        223.58623294307458,
        227.2702430542992,
        232.57520042395856,
        238.61183031977444,
        241.9657611825437,
        243.23401580581145,
        242.70865658936552,
        246.084172127952,
        241.4694012560902,
        235.20374569027106,
        235.0302405133972,
        230.3836631776781,
        226.66831551932185,
        231.88035973465398,
        244.93063704759828,
        249.31521474967724,
        256.15460463774195,
        252.28757873704225,
        256.5392302698184,
        261.084293755609,
        269.3919449060949,
        274.1730970651099,
        275.9246628873785,
        286.34413755694095,
        303.54900772044476,
        313.3741483777705,
        320.2222516684571,
        322.60698258409957,
        320.40408171207076,
        321.04720091839073,
        321.8672321570077,
        323.62147553859637,
        321.60275014488917,
        318.18440942926895,
        313.1046238568624,
        311.8581759046755,
        311.90850603130286,
        309.31164953529446,
        290.0078551398252,
        246.14759696091684,
        190.87385393595557,
        153.0572767185728,
        135.34739831759487,
        118.36995367837706,
        109.40516656206218,
        118.45396880334812,
        113.17429892905439,
        89.02351546265348,
        67.0341630183588,
        50.351634470987925,
        40.82040798610639,
        38.98021658973524,
        43.21435794237854,
        45.4387785281146,
        42.298008740159,
        46.15028215779904,
        51.371968668100585,
        52.931254528803876,
        52.16908599655598,
        52.86879513144576,
        62.10230402136586,
        63.95985752796229,
        65.11501858199792,
        65.99942450612383,
        64.62161038940476,
        68.81682669422746,
        70.27483369821502,
        70.77623923708425,
        70.27476682837005,
        74.45149602305389,
        73.05769399983589,
        72.92668978467398,
        75.1199199257356,
        74.9287366646891,
        75.77236579806467,
        69.81725270126817,
        66.84400005933502,
        62.86499258651208,
        55.662011278486766,
        47.56943721061465,
        39.05383752450615,
        26.993771308927055,
        15.898714189645977,
        13.621078533238537,
        14.602074987858774,
        16.737361461874745,
        17.47727064218821,
        19.129353185016715,
        20.083660583348383,
        22.51842477198003,
        25.133886204848555,
        28.74994885572844,
        32.35405147083843,
        38.6507739231124,
        46.180426527674655,
        55.77846501131988,
        70.09281484275773,
        93.97950615206001,
        123.3206670213988,
        147.04835532857638,
        182.811786292407,
        211.45835960607639,
        235.2845182650825,
        270.05564814135585,
        286.37663373931105,
        308.6740232991943,
        322.48072980753534,
        331.99960966790536,
        356.0429325786696,
        360.0429477435825,
        355.16041803136767,
        343.9455651251866,
        332.5941114767564,
        332.96822086887755,
        333.3778125878163,
        330.8994848381606,
        331.675870138755,
        330.82036254370195,
        329.5435623926639,
        330.29771801923374,
        330.2663864482727,
        326.2380924381805,
        323.0761411106145,
        298.138405172999,
        293.5000206697505,
        285.85161809807613,
        271.60559617418505,
        261.04339653546225,
        258.92910346633204,
        240.7775894386845,
        238.51145982560467,
        238.5321635043861,
        237.23682957073868,
        236.15842604742772,
        228.59628520576817,
        223.07481228249932,
        213.61721497903,
        206.22005533453526,
        215.40166050889115,
        230.25870666023516,
        240.6019184634141,
        249.52351616826942,
        257.3644467931926,
        265.50381301264497,
        271.314708726378,
        278.725864390616,
        283.7464065160572,
        288.4044241547129,
        297.29111855485604,
        299.54746734082136,
        304.3847575462539,
        296.9488391878887,
        303.5799345114201,
        305.0640514488206,
        303.0588073365743,
        304.89004279918913,
        304.2087092810689,
        302.75304448985634,
        308.99978846961744,
        309.6343490577227,
        307.16015451379457,
        308.95041715543135,
        309.3521805505239,
        308.6455686433421,
        308.2628431578729,
        305.6343751186664,
        307.71731967036874,
        308.5219951975209,
        308.1693998715247,
        306.5124870245318,
        306.08646783776817,
        308.7404865045973,
        307.7650748485905,
        308.6885339576244,
        308.48295349716324,
        306.15975268861087,
        303.9350575490221,
        304.81471092927376,
        301.47165626764433,
        298.1295263250904,
        300.6150234083846,
        301.37331011303087,
        297.6815452058421,
        287.5215127463824,
        281.1821880239144,
        278.6087476164453,
        278.62120729211875,
        274.323132102626,
        270.9502428864132,
        264.8492414542824,
        260.0438949044308,
        251.7683112204531,
        247.9033005922414,
        236.42227177187425,
        230.85692593434518,
        236.7453927569917,
        243.60029691397574,
        248.94051824590682,
        249.3679932050409,
        253.18799629826788,
        251.39669064821783,
        251.73996899959303,
        238.58886464195672,
        233.07766234644805,
        223.94202847298394,
        253.22622990882132,
        287.5415957680528,
        305.6095183815157,
        304.8586704169085,
        309.4389278110352,
        309.43123104607173,
        308.12527445438525,
        312.71277793963344,
        324.88393555210115,
        322.94872532947574,
        280.6175975174637,
        189.79322119995408,
        169.51019357139685,
        189.0437943372309,
        87.91644185646787,
        65.41091583165282,
        57.10653901191161,
        63.128109271610654,
        72.71362625114536,
        73.2493969643654,
        73.87105581139869,
        81.55275919175585,
        80.89792484149685,
        81.9605245392929,
        83.04826056474894,
        82.39167534322384,
        84.35024069249961,
        83.73336057817319,
        80.80977451239679,
        82.3686611979162,
        83.28082328078962,
        75.56090020608781,
        50.92878145593593,
        28.499013307241725,
        21.88816940180447,
        21.27207098559261,
        22.20783780065258,
        31.253916941719286,
        57.757925102746704,
        112.0610228504917,
        241.49327253374,
        340.8366007180548,
        356.30062655978713,
        350.1929314496447,
        339.07285906567984,
        326.6647218101028,
        325.3589730332821,
        327.5108464479785,
        325.5732003529761,
        326.2876951541444,
        323.43061079728756,
        323.7078136947297,
        322.4296898512557,
        318.62060312136435,
        308.48511149201545,
        285.23334328377473,
        264.0317433091381,
        240.83390693489238,
        235.08853379651165,
        247.6900726670786,
        249.19212999092372,
        253.58171307732218,
        240.79562062072287,
        256.24888244069416,
        242.69882469648172,
        235.07249643735432,
        239.47068772567877,
        248.2823231091532,
        257.652114357926,
        250.0689166702202,
        257.0993133453713,
        273.8432875555846,
        276.67236901537103,
        278.8033959651158,
        281.7596427758609,
        275.1827573483293,
        281.95027411872303,
        283.7706145335879,
        284.1911420448576,
        282.0922980788608,
        285.98808179627673,
        286.36921309150296,
        284.9811692454393,
        288.52341452331495,
        287.87388518449745,
        288.29838618622443,
        282.656149777542,
        281.0445358493195,
        286.52702324118223,
        286.4191502411912,
        295.2606223313989,
        292.98360286215217,
        295.59699749529346,
        296.63801951643853,
        290.95003894444517,
        283.30285396371545,
        282.3568201874563,
        283.9874869275249,
        288.4010597533155,
        284.14770960410317,
        280.78720585834486,
        294.46022773463824,
        291.77657311036745,
        277.90695133398543,
        268.10093573904754,
        256.55680520154203,
        249.25739163621975,
        245.12148565755126,
        242.45675490010112,
        237.71185289980573,
        235.44069868016638,
        228.88112157207215,
        227.4750303762846,
        246.21214952025537,
        245.24974500786414,
        250.13988786717744,
        265.87359844857644,
        263.3502394189634,
        262.6157877518433,
        238.5602860023487,
        244.00520317471342,
        232.81090024415832,
        232.44016408208094,
        236.07279687855362,
        256.41408960590934,
        290.86380732311557,
        317.0762206696556,
        328.18002613669375,
        316.7856234554338,
        323.81830943693456,
        312.50201921355745,
        316.2509835940011,
        314.24561805746237,
        318.28723092081987,
        320.6346050875627,
        322.8931776735092,
        318.94789531523037,
        255.52068212212245,
        179.52048533841298,
        157.11252853173445,
        130.0669694754095,
        90.35338895438187,
        58.12320623789643,
        58.04763597464799,
        57.336836289006676,
        74.72092219195534,
        80.66372095215507,
        81.4711891420383,
        79.98137952568447,
        85.06357581323576,
        84.16719494976348,
        85.24598795227223,
        89.0918316427159,
        87.48046826598821,
        84.66084413809436,
        85.38216185686198,
        79.50758422855279,
        56.7946414247143,
        55.84030342995273,
        64.83980642373034,
        71.36404756545896,
        83.0580682476844,
        81.38350364417855,
        84.2089821973259,
        87.51333291988594,
        88.62346494226803,
        84.63341721840645,
        72.03132015252291,
        24.8529347509685,
        15.44285151382206,
        17.117949099689056,
        16.711792267812598,
        21.677392203587537,
        48.91231123896455,
        160.52467374064122,
        242.50818537342388,
        323.4138038679303,
        330.63608970712744,
        347.9298637688969,
        331.2329802899006,
        321.01272105830503,
        321.8562995693191,
        324.1546387240687,
        321.17050129226567,
        322.80969878371536,
        322.07446092704475,
        321.96083996594524,
        322.57067481907967,
        324.10817189906027,
        320.4800412495885,
        319.77296488435167,
        308.00880670343935,
        285.87356609352025,
        267.40711405728763,
        256.1661031062435,
        252.23798438166384,
        261.5433945627284,
        253.58317201960043,
        249.2057229703726,
        260.81465494680924,
        250.49184099549763,
        241.22435869988226,
        240.8281126671728,
        245.73964065644898,
        241.75076135166915,
        237.3869653759845,
        247.68498416962788,
        254.46949467394785,
        254.58099168894864,
        258.52117668489876,
        271.0164010702899,
        274.6624217181165,
        275.5947558488001,
        282.4995650201492,
        277.73061051804325,
        273.89441838666926,
        276.6435085162303,
        274.65283574188595,
        279.3800738019837,
        282.07758414620895,
        281.6184192571538,
        284.7941133838774,
        282.94409928035026,
        287.27298594143707,
        284.6353169533057,
        286.0215768322933,
        284.1773029820287,
        286.6512928445315,
        284.45996250199346,
        281.78280702776175,
        287.29939402648347,
        288.4911515977459,
        284.00919253054326,
        284.0370653539208,
        283.7095419302292,
        282.41831161058155,
        281.88379328601343,
        277.75216249239776,
        278.3517075268152,
        278.50358059968016,
        276.5537036250842,
        275.6853304012282,
        266.5432597307701,
        275.84658044515186,
        260.7636642118697,
        257.4310309820481,
        254.9462083431655,
        258.1032334616581,
        262.4152872649999,
        267.02979048680226,
        268.810407314385,
        262.20288200319334,
        259.86947804327116,
        253.0021793777775,
        236.66692226539564,
        234.40280546211068,
        238.24077681541573,
        239.89206957023993,
        243.3641439454285,
        245.1028834263302,
        242.60320646912177,
        243.26152839604117,
        244.15250914459008,
        250.6901372128059,
        271.7629757082841,
        281.7197831413986,
        284.0127431158036,
        276.8855113088349,
        284.6124714068246,
        293.8880109108065,
        306.70903350292133,
        312.25075422332293,
        312.03081707869177,
        305.1535551376751,
        243.2360164369153,
        182.22253650065585,
        166.40701333266475,
        204.17778013750032,
        90.7449207782352,
        64.68952220469227,
        72.04573854796274,
        70.5069984775114,
        74.95831383012992,
        74.5016865224422,
        74.820058208431,
        71.90336315919524,
        73.03457245567489,
        73.05734806472036,
        74.8155027246541,
        73.46680755805926,
        74.03353044227197,
        75.86844863899441,
        84.99325775516323,
        87.16932795379061,
        85.65306181864793,
        80.8977260531181,
        81.49965927558351,
        81.5633987100212,
        83.26049948962792,
        89.76984192469082,
        88.6360219873164,
        89.83154653306444,
        87.73503353515414,
        85.2861337927798,
        69.03911564387556,
        57.32065023622869,
        58.38875650419956,
        44.14021412004332,
        25.404693094870474,
        24.498918867382653,
        25.197801642505038,
        29.790081109222356,
        67.8791185193139,
        111.6783651244645,
        262.52763920822446,
        337.1535137266304,
        351.56707830222325,
        339.58401626598624,
        329.6359130471934,
        331.8699150068389,
        319.7751539361204,
        319.8297061070147,
        318.41787776602223,
        318.467858178409,
        319.9277269715295,
        319.115302538748,
        317.1556261147359,
        319.264257337781,
        317.66108836499416,
        318.29618141729895,
        317.4534067833228,
        314.30027823908915,
        314.00311004411043,
        313.89822729314466,
        315.77011570708163,
        313.3880228590097,
        312.08358867395646,
        302.5850049916018,
        280.3007453985639,
        261.50380804773965,
        242.92580509499444,
        232.67971918218035,
        216.37775129385724,
        200.461989723888,
        207.34220456014444,
        215.9485011430434,
        231.62769463361514,
        231.8253512220017,
        238.0396302740088,
        242.42271890364225,
        246.29211824090262,
        249.27831834972517,
        251.7362944923635,
        261.05454996913863,
        263.5764838379577,
        271.15412237407423,
        274.82195897859765,
        277.02207669979964,
        276.6955340212492,
        281.37215195973613,
        281.3263542688783,
        284.7648057895173,
        282.2980096847843,
        289.0240660278802,
        289.60184181590085,
        287.8704404814497,
        285.2129548984105,
        280.79647489891056,
        278.400457116112,
        278.4549586060821,
        271.9478109112252,
        274.43386823707806,
        265.20263645500194,
        265.50306962805007,
        275.46387464151206,
        270.667277365845,
        274.2433869501806,
        266.7956248689188,
        271.0086020623654,
        278.811167688365,
        265.144499174518,
        268.7261053001994,
        271.7173339144095,
        272.0824110385752,
        248.60410362711667,
        245.85068006322305,
        246.64304586316817,
        240.63068094594996,
        243.18322867436322,
        244.5214285844459,
        246.92625821869711,
        247.89694412454156,
        242.6604558545645,
        250.28897917564566,
        260.0626428005987,
        279.2065005223523,
        284.19068710393645,
        289.63136291908273,
        287.4762244748054,
        293.1684986679265,
        297.88869465088345,
        298.8630274609455,
        259.99432640947873,
        171.22190049936418,
        141.75067850978473,
        140.77777159595243,
        60.664297532911135,
        45.54326461116124,
        60.06905521624058,
        56.493496763865096,
        57.69941064928764,
        69.00966531408693,
        69.71932434249476,
        79.2385911873992,
        84.36966283461278,
        82.7029448749537,
        83.83400280524668,
        85.63733542782703,
        80.98829854329429,
        69.01706260986946,
        60.07006074399119,
        62.832554525257535,
        61.60165904710439,
        67.99853619866687,
        72.48586370710154,
        76.85942195396056,
        83.97530357585836,
        90.65419528169865,
        90.55001246982032,
        89.30455511747556,
        80.20215332814863,
        60.27098967111202,
        67.80482625596794,
        76.93421121713149,
        79.68813144210677,
        87.7589617291466,
        74.55267590978998,
        61.126946040961215,
        39.36831597007887,
        26.25963392975682,
        17.91622477385896,
        17.69622225299295,
        24.741469858310868,
        54.6974500449662,
        135.56715008679285,
        217.53506593025935,
        297.2430635106545,
        321.24436958706013,
        322.760743209901,
        316.26110434071694,
        311.90961175379505,
        311.4590021440165,
        310.93691865870795,
        300.79131508569895,
        302.1151150781891,
        301.335776342152,
        299.6456580116973,
        299.96496795088115,
        302.6460366946619,
        302.59738641655065,
        301.9162846500678,
        301.95867926079336,
        302.4627817683887,
        301.4658852695784,
        302.48238799577234,
        299.42897223629313,
        301.4350264510461,
        302.37556141541984,
        300.20965664514637,
        294.0857642033883,
        287.6925462093566,
        280.6535071212045,
        268.63333029375696,
        255.41019830808716,
        238.26612368130577,
        221.8555333185443,
        214.40031474490996,
        212.7805246110975,
        207.4873076832304,
        206.68648285326432,
        214.51437124722935,
        223.32132581822057,
        231.62670125461455,
        241.88054579213758,
        237.5468465470596,
        243.30514359653907,
        243.657768737076,
        250.51038862471387,
        248.5780483013189,
        251.90108118738553,
        254.88330563847984,
        266.4193418101368,
        280.2920676074453,
        279.21115226513075,
        281.5722127594903,
        290.58222000870757,
        289.5018896234017,
        288.82078573083436,
        287.88209575842046,
        289.36448031849346,
        290.1256921322901,
        290.23001694331543,
        292.81654032886416,
        291.5690621208201,
        292.13636809177166,
        293.6872747134607,
        293.0454927705018,
        290.58147279564486,
        289.20331221465113,
        282.8567818676689,
        281.4175182474102,
        283.08047059350554,
        290.07606262080145,
        289.34889803692863,
        276.84986282702556,
        272.8916357346525,
        274.1285184760448,
        274.3372612912732,
        275.5853308412821,
        275.32708718130783,
        271.27321880947574,
        260.3529273468516,
        251.0588780775449,
        242.4726817300344,
        236.91862822381125,
        226.8871894093183,
        229.291619977399,
        233.88236998004666,
        237.88961658970646,
        244.29612761958825,
        242.321976933883,
        249.44782278164521,
        251.7685300894091,
        261.3960069340411,
        266.21927915219896,
        257.19957464177577,
        238.41314013637913,
        228.9624388741794,
        233.02145108546304,
        265.62397692619874,
        313.6012450909073,
        315.1972095922065,
        313.3031773664262,
        311.25608009708213,
        312.93475091150805,
        327.7724378122458,
        327.55608137666565,
        319.2051876936544,
        298.68786656592926,
        191.5377623376729,
        136.9529401254033,
        115.81694513190416,
        46.77883455127304,
        37.77543233968146,
        52.47654261758384,
        63.27305205660095,
        60.13876590380052,
        67.63104076535141,
        70.17522172230836,
        73.41617652666537,
        75.67871236640028,
        80.74381815726197,
        78.81470835011675,
        81.95168793105957,
        82.91827021223939,
        85.6231031848754,
        82.77742661188014,
        81.42097522537327,
        81.6875099413824,
        83.08450124729404,
        74.36102427414582,
        38.82026421857904,
        14.412476851380918,
        12.52115993648563,
        13.59803421580925,
        17.83061345987503,
        30.411666903766065,
        65.91068009335434,
        220.60926569049295,
        306.46248046647065,
        335.52898305921934,
        331.74201228216043,
        318.52249114814924,
        317.60467752783387,
        308.55703350939956,
        305.49648567146875,
        306.86629188159526,
        300.85152061128747,
        291.9124436100322,
        270.5821662932972,
        246.23057209014553,
        234.36495271430584,
        239.89702074099543,
        254.93179060343883,
        255.3187517400658,
        241.07958911166241,
        210.7313044968487,
        219.50576386999845,
        230.79786526450735,
        231.25530048113842,
        225.39233360554226,
        220.63284970229336,
        225.62677911883677,
        239.18009473432338,
        229.68865918406095,
        230.43861352061188,
        245.6079031765251,
        243.0294910402652,
        256.5032240835109,
        262.0003297028196,
        262.4678452123004,
        263.3524933644566,
        267.1983940352996,
        257.8454093107954,
        259.8953803246762,
        261.13105551506305,
        267.8640169787364,
        275.0703699048254,
        282.5123681571547,
        283.78864232645856,
        290.26280336478777,
        291.5396986154048,
        290.54507103889347,
        282.7518426029051,
        281.84205582808374,
        283.0590671879791,
        290.1377663729096,
        290.6081860290494,
        288.8450699614517,
        282.8720764744888,
        283.07596449302343,
        291.84111542561203,
        290.47996502210344,
        289.9429103772605,
        283.40559766352106,
        289.61787203922336,
        284.05689462054085,
        281.10209109643546,
        275.086248970385,
        273.9509909710163,
        269.6558515414485,
        261.5012248017947,
        257.9360084470583,
        262.0077547367414,
        263.6866469019173,
        264.5032239698055,
        269.41208237715296,
        265.6185564706224,
        265.92022405867664,
        258.2469581937592,
        244.5940197456254,
        237.64963309337406,
        233.19995824361607,
        231.09670805887268,
        230.7969605216024,
        229.59931161481114,
        228.3895645252935,
        222.91345767787047,
        222.31558724868802,
        226.63465350068648,
        234.52058301409124,
        248.17318995326949,
        246.89621200552108,
        247.9832414595945,
        250.7829911346179,
        256.61110489587975,
        243.03059488589426,
        242.8089919699335,
        233.7973097130105,
        217.30761066402025,
        216.37264029693398,
        216.66728874199433,
        246.76929218287003,
        275.77157153039315,
        313.04211256804285,
        306.2969240488641,
        309.9596003070028,
        310.1851522361216,
        316.7176609185593,
        316.33582032078823,
        318.7351372448944,
        317.50774797165775,
        307.0822221754557,
        311.56395837307684,
        295.2293655037587,
        198.23598474122855,
        137.58075809419057,
        92.03728284575736,
        37.58228571185359,
        28.53240630902564,
        50.623751692117956,
        70.24796582298696,
        74.76510918196485,
        72.73050852919795,
        71.9258141529977,
        73.87596462667845,
        82.34605756677227,
        71.09887688993582,
        66.26620547127418,
        66.8702310747153,
        62.33405618570455,
        75.3345543821228,
        83.56963609512341,
        92.10663293253462,
        93.07759538202278,
        86.96106179268713,
        69.26298749558713,
        61.24014973894229,
        66.02722356721385,
        76.18986038069029,
        77.57632196141614,
        70.67570998633099,
        40.74068826020784,
        22.180178189228055,
        23.821591371464432,
        23.138012428423817,
        34.44709617410339,
        71.91706406045236,
        152.74561491886325,
        250.21471643317366,
        316.44416553211806,
        332.2760531799869,
        333.3396292665326,
        328.4737471303365,
        318.45409721950614,
        320.2455592378341,
        311.6611709465601,
        301.534495145652,
        292.494447359705,
        265.4109308785174,
        243.4088807359754,
        238.24883208095687,
        243.06032414181232,
        258.63353338785475,
        252.33808123510732,
        228.0068504046217,
        221.376625765451,
        215.59247997068857,
        214.15386815918015,
        228.82397621602652,
        226.3059602825428,
        231.33316006245448,
        230.7468070014352,
        227.58059850056324,
        236.0190017340996,
        255.26780815939523,
        259.36947805638556,
        260.863462455155,
        263.456270616224,
        276.22429285840616,
        283.41746090479506,
        291.336357336679,
        289.4485617624284,
        296.88282803013186,
        289.6684733007861,
        291.01983901360484,
        286.08425250259,
        279.83409392525306,
        277.223885631828,
        276.86461681133,
        282.59262722940764,
        280.1211226545398,
        281.8390248469553,
        285.2678493818098,
        289.40209445882397,
        290.5630111824272,
        293.1474644987863,
        290.70053312544906,
        290.45264854831447,
        291.71134072347445,
        291.89397635261895,
        293.1247108341108,
        294.33326996655865,
        295.92823454349536,
        297.5244554841205,
        297.03337127162166,
        295.42226878232583,
        294.4587820705827,
        294.4799978166321,
        294.3532626966748,
        294.51819614384635,
        293.17766854029037,
        293.31545074872616,
        292.612698458183,
        292.02464026464764,
        292.189235445184,
        291.71140412766243,
        292.0742952710982,
        291.83279431327963,
        294.7803322586969,
        293.3051945845946,
        291.1701377369413,
        294.56272959846194,
        296.49100860002306,
        293.46675091283254,
        295.59784313743484,
        293.1345803581705,
        293.52362015280374,
        298.1220018583852,
        293.78939047729915,
        296.94687454927106,
        298.4667906590204,
        304.32425704780167,
        305.2224041521612,
        303.5167934850182,
        301.2020275996074,
        299.4761301367173,
        299.70062476928865,
        299.51268708254764,
        299.1037325924197,
        302.9781528278019,
        300.46901862552767,
        298.09665436036954,
        291.48707749982725,
        288.0366158417124,
        286.6680996049538,
        286.2993825344602,
        284.04793427510185,
        282.56933030148605,
        281.3304857141308,
        290.190355476803,
        289.72120834538777,
        286.6134529927035,
        293.7845109128971,
        305.4620264991948,
        306.7243810901772,
        296.1040380988509,
        305.4261060279552,
        301.3716388105037,
        302.3860307554814,
        301.3598075324007,
        294.9541310902452,
        289.8235920541083,
        276.8762887140721,
        270.23486927654005,
        258.49713259167027,
        243.00797630634366,
        235.79856047342966,
        230.54211115869472,
        225.7638341442121,
        224.24604842391759,
        225.63089301208353,
        229.1726490117747,
        240.99313469456803,
        249.97173718767408,
        251.23883815645866,
        254.70828043299068,
        246.40361614232472,
        241.59744933878542,
        256.67020204174827,
        267.95300998122394,
        266.50855853553,
        273.9626600682753,
        275.2902046523335,
        289.6632667749972,
        306.86922699703535,
        318.75557943045504,
        321.14866400711514,
        317.80649289866625,
        309.5566506102757,
        251.02996336640385,
        203.88301034288637,
        198.84619350141247,
        212.13322816975457,
        113.64555298343122,
        54.62167495601622,
        41.6243359367041,
        41.74460647017398,
        42.099934525231966,
        33.63322032083687,
        41.81320442642977,
        52.55819509345111,
        52.65138303627668,
        52.08733355486832,
        55.15243315629788,
        67.52191395032537,
        73.6390496913611,
        81.25667926004974,
        84.28167088987188,
        83.38404265622266,
        75.19754006195053,
        68.44521713680683,
        56.07580369440603,
        50.35871524321576,
        49.613323560360335,
        57.65105468184027,
        39.45955691254842,
        31.957734337416074,
        25.430734827551298,
        24.04365262807002,
        48.19932859363204,
        114.25518620714679,
        223.57064084348747,
        312.53957751980533,
        340.08609586211315,
        343.28639119445194,
        334.3019761370436,
        325.22584033542176,
        326.4123824657782,
        325.36778356820116,
        326.08049706525424,
        315.4209913510038,
        313.60644296229776,
        311.9095641714495,
        312.47963510802447,
        311.7849893023454,
        308.7508363546926,
        298.8754166299194,
        290.1242005911363,
        276.7722339192142,
        266.3806067104493,
        251.88323257915923,
        246.1557495512314,
        228.30555943934854,
        240.3957321341651,
        235.02230251067942,
        232.49222836755803,
        233.6417621334876,
        247.14468745259046,
        256.7820257702286,
        253.33854636820934,
        244.9156369307895,
        230.73822544983855,
        222.66136208764783,
        220.38450809203044,
        213.01467443576385,
        214.1743334005942,
        213.6077858886245,
        220.51193865702584,
        227.62806133890024,
        231.16996453837277,
        236.85888157509328,
        242.93035336666327,
        249.9119617723251,
        256.14094579154414,
        257.25013726120926,
        260.03117101444616,
        260.35990017133184,
        262.4492454676366,
        263.63293066871427,
        267.8638143678887,
        269.3652784652376,
        273.06483579081237,
        273.21532081758374,
        272.4985383549902,
        274.7955670783646,
        270.3683213960715,
        268.2226671005248,
        268.68230106811046,
        267.715574358088,
        272.2107124677307,
        268.2823527672628,
        273.2148407078238,
        270.28388196698086,
        261.91852212168374,
        253.08934525218012,
        243.65856515059926,
        239.9522272153998,
        241.41469704046835,
        239.0858720122598,
        235.10039134679673,
        230.72753108397222,
        219.3990997538719,
        215.33005243767514,
        222.5560926619477,
        229.67672052266602,
        238.5463812345026,
        244.22084127809916,
        247.81895396415766,
        241.85983108037937,
        239.33358901058864,
        228.49323631335594,
        232.4676070601848,
        226.61897672808493,
        229.74441941088756,
        236.1348451464722,
        252.60156141960024,
        260.06892862923036,
        276.44250324602154,
        282.61604229685895,
        284.6139058843042,
        289.01354816385435,
        277.77420789417687,
        226.246418104326,
        150.90229925867706,
        112.77597856422584,
        58.894250497059254,
        34.73653566523997,
        39.58331356508533,
        51.20251482767053,
        57.81556453424769,
        29.759423810505066,
        31.765353910035262,
        48.312491661944506,
        51.52390107465199,
        37.5407823239915,
        31.53271141882675,
        48.37099011200117,
        55.76077328356775,
        60.10954063660213,
        65.45520580068818,
        76.03484185164632,
        80.49531171104518,
        69.19513795913677,
        63.593524958455355,
        47.600650533265274,
        40.596160630820215,
        56.43484510045464,
        81.58665245075912,
        70.44286993568205,
        46.49451222712463,
        34.36504556757871,
        21.26813910472213,
        15.092917042709873,
        16.36625718248155,
        26.439756789636686,
        55.28342003677851,
        138.50217338301928,
        237.22380423707835,
        300.7307374357308,
        317.472444548069,
        317.88932751755755,
        311.82536624562425,
        302.09291029719486,
        304.00760773802654,
        306.31495070042024,
        305.550055818889,
        296.09380587635627,
        294.5330706442982,
        296.4840418755695,
        296.4273009053276,
        295.4750725233183,
        296.08149174906083,
        294.66769200972436,
        295.78394711647167,
        295.83244100102337,
        308.6448194096378,
        310.1753236919732,
        298.7463682531787,
        289.5660673465858,
        276.39411347722796,
        273.51185908511235,
        266.5848748020749,
        260.1879398129934,
        251.86152379853047,
        230.8174330598228,
        221.12839168011214,
        221.87186764863577,
        226.72032585731142,
        226.3438880692046,
        223.84951524378081,
        230.62292967342583,
        225.37902512763574,
        210.06203253207264,
        201.01956909895526,
        209.52546621655958,
        211.84381144883835,
        214.7986656532746,
        228.4955465128234,
        239.0653207900906,
        241.90428382929832,
        246.28567743816285,
        258.6035854297465,
        261.4133040282167,
        274.09742655876664,
        287.6414514386967,
        291.5913751386848,
        297.4753298595851,
        302.9409450954484,
        306.6134458107551,
        307.3845209700975,
        309.97762622928985,
        308.47614907850397,
        310.0110480912524,
        309.0406372767311,
        308.8210111147092,
        307.8431275230533,
        305.8563530452647,
        306.75867545652443,
        305.994445167811,
        309.0109512342478,
        306.78666257614617,
        307.7068025508296,
        305.95054645545855,
        303.68308122689183,
        303.05112123804446,
        305.6808145220296,
        301.11264267052417,
        298.8171276626011,
        294.72106045887585,
        289.5496241385219,
        283.0802893434119,
        281.27860202972323,
        274.9070091328341,
        274.06466796827897,
        268.5651157384615,
        264.6875791839306,
        264.2627781198751,
        263.1026247814318,
        262.7220551184252,
        251.46075997449873,
        243.39569190356707,
        237.3913934730403,
        234.9665767525875,
        228.52150421585262,
        227.24150390568008,
        228.36917027676435,
        232.543056271894,
        233.64257848530198,
        236.54860747532263,
        238.14547701611625,
        229.02946431779142,
        230.40149446748336,
        234.76435039498236,
        247.78187137817838,
        251.21144776039486,
        263.0109404880694,
        276.9026442767923,
        281.97317238003126,
        287.583291704577,
        295.4169302678697,
        293.19110962704787,
        289.95981191819385,
        296.319820596619,
        298.2219097160043,
        299.4929524424203,
        301.0662664647225,
        308.1281313092687,
        308.8288248644007,
        310.29347543204636,
        312.77303058320643,
        310.5114241454823,
        308.2530211684143,
        300.53841361262926,
        237.5225267482801,
        165.62102320986023,
        139.15627200592098,
        98.61911018004815,
        43.79816756282017,
        45.463758313992855,
        50.710138858748024,
        57.41824715972815,
        60.757841601843936,
        63.09859942144491,
        65.67706342080085,
        65.24664854231466,
        58.40580114149749,
        59.30835165819593,
        60.92319697553731,
        70.55821686795663,
        69.82901727495533,
        71.05662940823466,
        75.56111074856295,
        71.57624348114346,
        71.06212709755907,
        75.2476924081308,
        73.43384274960103,
        67.2714688777923,
        73.47227463822426,
        79.71132839179329,
        71.3090620629266,
        79.17882694519096,
        61.624744114391916,
        32.18739798126642,
        15.069869788400888,
        11.62318502904737,
        12.911323032444558,
        15.374059592235234,
        25.172656742668412,
        60.52646630976587,
        123.36936719804721,
        217.1303406873916,
        305.41483069826756,
        323.5511950210046,
        332.19858326044255,
        326.842720025351,
        316.77856756355476,
        319.18544875781527,
        319.71949218021393,
        319.212397904455,
        320.32301717027735,
        319.4558779175975,
        319.87383716050437,
        321.8548248417419,
        309.4058421575444,
        307.72537143950564,
        308.6476276250756,
        311.2320742332363,
        311.27946393319127,
        310.1148233898771,
        310.61384380445236,
        308.5389109321718,
        309.116737519156,
        310.6263002622313,
        309.09021360239706,
        311.981306038069,
        309.0481597133789,
        297.0405557131668,
        257.8807048892894,
        208.7261056857344,
        247.9468659533738,
        98.44009140644664,
        49.81519702474317,
        60.912377747875,
        107.08438098491972,
        145.33299563654816,
        174.00350848799317,
        176.05491391738394,
        150.41453043693252,
        178.50024920391485,
        181.77177077390513,
        180.28820999071715,
        213.8953316178026,
        234.30314416281914,
        238.51813635168295,
        286.4642728172501,
        313.2522858010105,
        312.4399361742905,
        441.11339674264383,
        458.76962721179973,
        482.71685436049415,
        483.1183962659463,
        461.2517267071128,
        487.88431893609965,
        476.6145005012887,
        318.72575832370035,
        199.18550919354394,
        172.84620475925706,
        158.70681098012716,
        148.24998743428466,
        141.2432178828392,
        101.64980811976682,
        95.49265713033681,
        73.84376213324575,
        31.37207692562978,
        23.251093147412714,
        22.28026611616924,
        20.13872538794949,
        21.076154045999655,
        33.18222130604131,
        77.22963535402192,
        145.09107566068676,
        192.32473377430557,
        209.02804108766153,
        221.80353867884196,
        209.12802948901214,
        199.21525352013296,
        175.6893843037482,
        128.2958143590104,
        52.45136642709534,
        18.94810364982371,
        11.9751768399461,
        12.197625843414917,
        11.832737189742138,
        14.09229490367421,
        20.507609907234514,
        25.463679107435272,
        23.378682725693917,
        15.40135886768908,
        14.214035363514052,
        15.870297613213381,
        20.047829137430075,
        22.549735960331663,
        20.68523943469672,
        17.736491229293968,
        15.684336653344417,
        14.234022328578355,
        13.51704135638369,
        14.513241406789497,
        16.39461909945335,
        16.705266892251842,
        15.886868113905122,
        14.910444828509114,
        15.319827754416552,
        14.227218964558539,
        12.635928761418656,
        12.965000308940125,
        12.891845334987872,
        11.667950300594871,
        11.336712898494582,
        11.962097425521522,
        12.29454463203637,
        14.661544776831596,
        17.25981594728019,
        19.769563346985127,
        23.352023290475078,
        31.16274884247485,
        40.128937348760076,
        43.62243555800824,
        45.27677153207232,
        39.796829401061245,
        38.64120064958277,
        38.01571596120197,
        37.99370795730097,
        40.080615948428644,
        42.09406554916429,
        43.32197337145343,
        46.69652087309708,
        46.56933445590923,
        44.3446201932507,
        41.32498624272391,
        42.177584986180335,
        44.17811190558067,
        48.36535208212766,
        43.96358468974848,
        46.470628870969406,
        48.629694706355124,
        43.7959458185255,
        34.31904783960614,
        25.876902441956744,
        24.41616389249741,
        24.918559372419057,
        25.79831053850138,
        29.07253219038293,
        25.705096571142747,
        19.195774728121446,
        15.453655957704703,
        13.518474665873205,
        13.721552009959137,
        15.304077690294063,
        15.92647894891693,
        13.659475520870487,
        12.215689667114212,
        11.843126808207185,
        11.478684039004708,
        12.143435177273247,
        12.125001105129819,
        10.2692015908448,
        9.426378149667187,
        8.710959405074755,
        7.774741335999785,
        8.03117385675877,
        7.465876770809552,
        6.614258813215837,
        5.543899583585764,
        4.859720970404852,
        4.083293801524968,
        3.7263350972362663,
        3.881683776474,
        4.091322105859831,
        4.365751043556619,
        4.6247624647164045,
        4.861801133583476,
        5.263226241949134,
        5.799964626823892,
        6.37547352244478,
        7.260170037132098,
        8.005256988148503,
        8.903833420832628,
        9.70034641636926,
        10.568184966923273,
        11.508051822572876,
        13.20348583613841,
        15.022906345277958,
        17.635619832720465,
        20.635006338609298,
        23.510545376975713,
        27.36020968866333,
        31.927680705581498,
        38.18151752068792,
        45.1712564283583,
        55.907400885373505,
        76.12794268569421,
        111.23773704333313,
        166.45855902736767,
        234.95451855534665,
        293.3385438230727,
        309.2999070218654,
        283.77022945296665,
        242.46376120478612,
        242.10987882808774,
        245.33136599194538,
        257.3904640472567,
        259.66158453786716,
        259.9161440222834,
        261.3922963609096,
        277.2278565445128,
        279.19798173352933,
        279.66091434493154,
        281.7467083438303,
        294.28267101861337,
        294.2832218835519,
        294.3049145699536,
        293.1580260033719,
        292.93143515377534,
        293.88265299069326,
        293.4063660362985,
        293.6171348694118,
        293.19422554871664,
        294.4198180563748,
        293.15417208108755,
        293.4883440489886,
        293.9013946357754,
        293.74700367992966,
        294.24103833409663,
        292.96920029196707,
        293.97793326929605,
        292.787909414961,
        292.8492345797881,
        292.7679139739453,
        292.4710382246447,
        293.28999265547793,
        293.3822944350584,
        296.2493748916682,
        307.0779620416664,
        305.10414916891654,
        306.8345141899096,
        306.2065154128836,
        306.9321554841698,
        306.85541625403874,
        306.44323142230814,
        306.76848081947156,
        306.94289450388663,
        305.1522208692658,
        305.9223647055872,
        306.8030813052284,
        307.93639233992394,
        306.4252017465579,
        307.97867092021363,
        306.3142534209574,
        307.2007142674793,
        307.62216370631904,
        307.2044928132233,
        306.45995722652896,
        306.18118593365057,
        307.41615260846055,
        307.48656683631714,
        307.99648979921557,
        307.9060340638326,
        307.20440682656033,
        308.9935535396046,
        309.1304690764523,
        307.69404724419167,
        307.9637119135222,
        307.9254989327383,
        308.78720215597264,
        307.6603865315565,
        308.2919559876195,
        306.33704933351925,
        295.6650252676751,
        295.7538248247152,
        295.38144372749275,
        307.89608152730165,
        307.30547666702535,
        306.69217009815634,
        309.22149521936257,
        306.91742824063834,
        308.5043850001326
    ],
    "average_depth_per_image": [
        2.0487425327301025,
        2.0487377643585205,
        2.04921555519104,
        2.0485482215881348,
        2.0480268001556396,
        2.047675371170044,
        2.048095941543579,
        2.048196792602539,
        2.0482547283172607,
        2.048383951187134,
        2.0482587814331055,
        2.0490028858184814,
        2.04866099357605,
        2.048574209213257,
        2.0484368801116943,
        2.0486159324645996,
        2.04841685295105,
        2.048560857772827,
        2.048286199569702,
        2.0484812259674072,
        2.04787278175354,
        2.048572063446045,
        2.0483100414276123,
        2.0478971004486084,
        2.0479390621185303,
        2.0476572513580322,
        2.048354387283325,
        2.048778772354126,
        2.04805326461792,
        2.04830002784729,
        2.0486369132995605,
        2.0486342906951904,
        2.048704147338867,
        2.048722982406616,
        2.049027442932129,
        2.04883074760437,
        2.0481626987457275,
        2.04770565032959,
        2.048332452774048,
        2.0485503673553467,
        2.0486185550689697,
        2.0485122203826904,
        2.0486104488372803,
        2.0486340522766113,
        2.049030303955078,
        2.0485799312591553,
        2.048344373703003,
        2.0484092235565186,
        2.0486199855804443,
        2.0481255054473877,
        2.0487892627716064,
        2.0486209392547607,
        2.0482184886932373,
        2.0481162071228027,
        2.0483133792877197,
        2.0483267307281494,
        2.0487356185913086,
        2.04872727394104,
        2.0485939979553223,
        2.0494706630706787,
        2.048414945602417,
        2.048302412033081,
        2.0480902194976807,
        2.048272132873535,
        2.0485150814056396,
        2.0492098331451416,
        2.0483322143554688,
        2.048241376876831,
        2.048374891281128,
        2.0486714839935303,
        2.048433780670166,
        2.0485548973083496,
        2.04780912399292,
        2.0481672286987305,
        2.048083543777466,
        2.0482981204986572,
        2.0485897064208984,
        2.0485739707946777,
        2.049226760864258,
        2.048466920852661,
        2.048119068145752,
        2.0477712154388428,
        2.0473203659057617,
        2.04813289642334,
        2.0480356216430664,
        2.048184633255005,
        2.048736810684204,
        2.0475358963012695,
        2.047370195388794,
        2.0481374263763428,
        2.047764539718628,
        2.0484933853149414,
        2.0474464893341064,
        2.047492027282715,
        2.0470612049102783,
        2.047849178314209,
        2.047811269760132,
        2.047654628753662,
        2.0476863384246826,
        2.047750473022461,
        2.047224283218384,
        2.0480353832244873,
        2.048105001449585,
        2.047790050506592,
        2.047818422317505,
        2.0478482246398926,
        2.0478451251983643,
        2.048142194747925,
        2.047764778137207,
        2.0478172302246094,
        2.0475575923919678,
        2.04807710647583,
        2.0474956035614014,
        2.0477588176727295,
        2.0486350059509277,
        2.0482330322265625,
        2.0482583045959473,
        2.048219919204712,
        2.048356056213379,
        2.0482869148254395,
        2.0487005710601807,
        2.0481669902801514,
        2.0477294921875,
        2.0474936962127686,
        2.0475783348083496,
        2.047516107559204,
        2.0479519367218018,
        2.0480129718780518,
        2.048098087310791,
        2.04758358001709,
        2.047982931137085,
        2.048377275466919,
        2.0479438304901123,
        2.0478434562683105,
        2.047712802886963,
        2.0477778911590576,
        2.0480124950408936,
        2.048027276992798,
        2.0484299659729004,
        2.0482962131500244,
        2.048360586166382,
        2.0483644008636475,
        2.048405170440674,
        2.0475590229034424,
        2.047898292541504,
        2.0479774475097656,
        2.048227310180664,
        2.0479495525360107,
        2.0477826595306396,
        2.0476386547088623,
        2.0481514930725098,
        2.047858238220215,
        2.0479848384857178,
        2.047635078430176,
        2.047697067260742,
        2.048051595687866,
        2.0482187271118164,
        2.0483248233795166,
        2.0481584072113037,
        2.0488202571868896,
        2.0476694107055664,
        2.0479183197021484,
        2.047823667526245,
        2.04803729057312,
        2.047839403152466,
        2.047795057296753,
        2.048049211502075,
        2.0477001667022705,
        2.0482356548309326,
        2.0482776165008545,
        2.047956705093384,
        2.0479588508605957,
        2.0481045246124268,
        2.0477607250213623,
        2.0481138229370117,
        2.048245668411255,
        2.0473854541778564,
        2.047443151473999,
        2.047821283340454,
        2.0480916500091553,
        2.047867774963379,
        2.0484561920166016,
        2.0477941036224365,
        2.0480597019195557,
        2.048241376876831,
        2.047710657119751,
        2.047905206680298,
        2.0481274127960205,
        2.0483269691467285,
        2.0480668544769287,
        2.0483477115631104,
        2.0481555461883545,
        2.0476889610290527,
        2.048179864883423,
        2.0479445457458496,
        2.04821515083313,
        2.0481903553009033,
        2.0475876331329346,
        2.0481178760528564,
        2.047785758972168,
        2.048046588897705,
        2.047755479812622,
        2.0477192401885986,
        2.048383951187134,
        2.04783296585083,
        2.0481748580932617,
        2.048095941543579,
        2.0479681491851807,
        2.0478715896606445,
        2.0480711460113525,
        2.0480711460113525,
        2.0483899116516113,
        2.048125982284546,
        2.0486459732055664,
        2.0478994846343994,
        2.0490620136260986,
        2.048328161239624,
        2.0480575561523438,
        2.0487277507781982,
        2.0484354496002197,
        2.0479657649993896,
        2.048412561416626,
        2.048682451248169,
        2.0483736991882324,
        2.048142671585083,
        2.04823899269104,
        2.0481133460998535,
        2.04852032661438,
        2.048593521118164,
        2.0482494831085205,
        2.0479602813720703,
        2.0479609966278076,
        2.0485317707061768,
        2.048333168029785,
        2.048304796218872,
        2.048645496368408,
        2.0485146045684814,
        2.048056125640869,
        2.0482449531555176,
        2.048896074295044,
        2.048121213912964,
        2.0482146739959717,
        2.048884153366089,
        2.048523187637329,
        2.048762798309326,
        2.0492541790008545,
        2.048560619354248,
        2.048719644546509,
        2.0486338138580322,
        2.0481364727020264,
        2.0482423305511475,
        2.0480129718780518,
        2.0488312244415283,
        2.04878830909729,
        2.0486464500427246,
        2.048708200454712,
        2.048631429672241,
        2.0489771366119385,
        2.0487658977508545,
        2.0490663051605225,
        2.0486605167388916,
        2.0487711429595947,
        2.048841953277588,
        2.0488016605377197,
        2.048781156539917,
        2.049048662185669,
        2.0491232872009277,
        2.0491750240325928,
        2.0488369464874268,
        2.0490481853485107,
        2.049067497253418,
        2.049150228500366,
        2.0492782592773438,
        2.0499253273010254,
        2.049720525741577,
        2.049298048019409,
        2.049617290496826,
        2.049424648284912,
        2.049938440322876,
        2.0493485927581787,
        2.0496020317077637,
        2.0494818687438965,
        2.0489768981933594,
        2.04896879196167,
        2.0489885807037354,
        2.0485708713531494,
        2.0488460063934326,
        2.04929780960083,
        2.048797369003296,
        2.048398971557617,
        2.049114942550659,
        2.048778533935547,
        2.0476906299591064,
        2.0489795207977295,
        2.0485432147979736,
        2.04862117767334,
        2.048344850540161,
        2.048994779586792,
        2.0489001274108887,
        2.0487477779388428,
        2.0489351749420166,
        2.048920154571533,
        2.0490925312042236,
        2.049344539642334,
        2.04840350151062,
        2.0490810871124268,
        2.0489180088043213,
        2.048323631286621,
        2.049177408218384,
        2.049276351928711,
        2.048818349838257,
        2.049206495285034,
        2.048734426498413,
        2.049046039581299,
        2.049466133117676,
        2.049164056777954,
        2.0489461421966553,
        2.0489161014556885,
        2.049046516418457,
        2.0491511821746826,
        2.049351930618286,
        2.0485193729400635,
        2.048565626144409,
        2.048645496368408,
        2.0484349727630615,
        2.048508405685425,
        2.048872232437134,
        2.048631191253662,
        2.0487091541290283,
        2.0484447479248047,
        2.0482757091522217,
        2.048478841781616,
        2.048600435256958,
        2.0485150814056396,
        2.0481033325195312,
        2.0477120876312256,
        2.047983169555664,
        2.0479838848114014,
        2.048081636428833,
        2.047853708267212,
        2.047607183456421,
        2.048046827316284,
        2.0488388538360596,
        2.047882556915283,
        2.048772096633911,
        2.047579526901245,
        2.0483124256134033,
        2.0480570793151855,
        2.0484750270843506,
        2.048205614089966,
        2.0485117435455322,
        2.0485541820526123,
        2.049281597137451,
        2.04911732673645,
        2.048797845840454,
        2.0491726398468018,
        2.0489466190338135,
        2.048529624938965,
        2.048247814178467,
        2.0488576889038086,
        2.0494062900543213,
        2.049576997756958,
        2.0497348308563232,
        2.049131393432617,
        2.0493717193603516,
        2.049421548843384,
        2.048964262008667,
        2.0494534969329834,
        2.049178123474121,
        2.0491015911102295,
        2.0496139526367188,
        2.049154043197632,
        2.0487616062164307,
        2.049192190170288,
        2.0496609210968018,
        2.049591064453125,
        2.049551248550415,
        2.0497915744781494,
        2.049762725830078,
        2.0496480464935303,
        2.0498721599578857,
        2.0491487979888916,
        2.049740791320801,
        2.049868583679199,
        2.04923415184021,
        2.04976224899292,
        2.0490458011627197,
        2.0490903854370117,
        2.049360752105713,
        2.0490853786468506,
        2.049272298812866,
        2.049274444580078,
        2.0493571758270264,
        2.049422264099121,
        2.048957347869873,
        2.049243211746216,
        2.049600839614868,
        2.049206495285034,
        2.048935651779175,
        2.0491199493408203,
        2.0494232177734375,
        2.049060344696045,
        2.0490524768829346,
        2.0483100414276123,
        2.0483436584472656,
        2.0488691329956055,
        2.048447370529175,
        2.048743963241577,
        2.049003839492798,
        2.048863172531128,
        2.048652410507202,
        2.0492050647735596,
        2.049304723739624,
        2.0492875576019287,
        2.0491549968719482,
        2.049473524093628,
        2.0492804050445557,
        2.0493080615997314,
        2.048520803451538,
        2.0489232540130615,
        2.048959255218506,
        2.048980474472046,
        2.049356460571289,
        2.049082040786743,
        2.0490000247955322,
        2.049070358276367,
        2.0490458011627197,
        2.049219846725464,
        2.0486814975738525,
        2.048475503921509,
        2.0486583709716797,
        2.048269271850586,
        2.0489449501037598,
        2.049011707305908,
        2.04897141456604,
        2.0488102436065674,
        2.0488674640655518,
        2.049860715866089,
        2.044863224029541,
        1.8987375497817993,
        1.8558244705200195,
        1.7490240335464478,
        1.6627899408340454,
        1.53642737865448,
        1.4588133096694946,
        1.2837380170822144,
        1.2119927406311035,
        1.0436806678771973,
        0.9743989109992981,
        0.8704364895820618,
        0.8656231760978699,
        0.6613202691078186,
        0.5817747116088867,
        0.484687477350235,
        0.7488851547241211,
        0.8976486325263977,
        0.9610834121704102,
        1.0547221899032593,
        1.1042643785476685,
        1.2408429384231567,
        1.3171448707580566,
        1.4637120962142944,
        1.5337796211242676,
        1.7312384843826294,
        1.7489848136901855,
        1.9280015230178833,
        1.988471508026123,
        2.038299560546875,
        2.042607307434082,
        2.0415499210357666,
        2.0337202548980713,
        2.0351574420928955,
        2.0417158603668213,
        2.045231819152832,
        2.041408061981201,
        2.0440399646759033,
        2.0480408668518066,
        2.0460927486419678,
        2.0465457439422607,
        2.053072690963745,
        2.0548489093780518,
        2.0543603897094727,
        2.0520853996276855,
        2.050502061843872,
        2.050635576248169,
        2.0524723529815674,
        2.053074836730957,
        2.0514423847198486,
        2.0508575439453125,
        2.050455331802368,
        2.050706386566162,
        2.049344301223755,
        2.0497851371765137,
        2.049654722213745,
        2.048889398574829,
        2.049102306365967,
        2.0494651794433594,
        2.050149917602539,
        2.049309015274048,
        2.048691987991333,
        2.0493552684783936,
        2.0492022037506104,
        2.048654556274414,
        2.049081563949585,
        2.0494892597198486,
        2.0491397380828857,
        2.0492703914642334,
        2.0489726066589355,
        2.0490853786468506,
        2.0493268966674805,
        2.0490996837615967,
        2.0491092205047607,
        2.048976182937622,
        2.048654556274414,
        2.0497243404388428,
        2.049729585647583,
        2.0490591526031494,
        2.048945665359497,
        2.0484988689422607,
        2.049126386642456,
        2.0495049953460693,
        2.0494492053985596,
        2.0490224361419678,
        2.049257278442383,
        2.0486679077148438,
        2.048797845840454,
        2.049112319946289,
        2.049084424972534,
        2.050035238265991,
        2.048999547958374,
        2.048654317855835,
        2.0483641624450684,
        2.047419786453247,
        2.0484488010406494,
        2.046621084213257,
        2.0412986278533936,
        2.0415518283843994,
        2.0486562252044678,
        2.0483877658843994,
        2.048990249633789,
        2.0486338138580322,
        2.048344850540161,
        2.0476276874542236,
        2.048590898513794,
        2.0501043796539307,
        2.0476253032684326,
        2.0462982654571533,
        2.0488393306732178,
        2.047821283340454,
        2.045232057571411,
        2.0454118251800537,
        2.0488789081573486,
        2.0494296550750732,
        2.0490639209747314,
        2.049041986465454,
        2.04988694190979,
        2.0486185550689697,
        2.048734664916992,
        2.049384355545044,
        2.048746347427368,
        2.0481557846069336,
        2.0486602783203125,
        2.056061267852783,
        1.8943506479263306,
        1.8719233274459839,
        1.67971932888031,
        1.6012920141220093,
        1.485443115234375,
        1.412467122077942,
        1.307787299156189,
        1.1942373514175415,
        1.101624846458435,
        0.9940087199211121,
        0.8850089907646179,
        0.7967751622200012,
        0.766061007976532,
        0.7543025016784668,
        0.7215529084205627,
        0.732079029083252,
        0.6250684857368469,
        0.6352097392082214,
        0.6171773076057434,
        0.5602560639381409,
        0.565876305103302,
        0.5983894467353821,
        0.6200657486915588,
        0.6319980621337891,
        0.6556860208511353,
        0.623961865901947,
        0.5890275835990906,
        0.5240473747253418,
        0.40726062655448914,
        0.3936869204044342,
        0.42259538173675537,
        0.4280528724193573,
        0.387247771024704,
        0.39407113194465637,
        0.39593687653541565,
        0.395476371049881,
        0.4018216133117676,
        0.407999187707901,
        0.4099992513656616,
        0.35450759530067444,
        0.3248330354690552,
        0.3200781047344208,
        0.31767216324806213,
        0.3000437021255493,
        0.29002848267555237,
        0.28278815746307373,
        0.2672363519668579,
        0.26730355620384216,
        0.265826016664505,
        0.2720493972301483,
        0.27247464656829834,
        0.2732360363006592,
        0.2792445421218872,
        0.2791624963283539,
        0.30431050062179565,
        0.33112475275993347,
        0.34539392590522766,
        0.3951658010482788,
        0.5095124840736389,
        0.5151035189628601,
        0.7581093907356262,
        0.7928001284599304,
        0.9052095413208008,
        0.9715539813041687,
        1.136743187904358,
        1.181700348854065,
        1.36504328250885,
        1.4048322439193726,
        1.5724350214004517,
        1.6779958009719849,
        1.8414353132247925,
        1.9470824003219604,
        2.009669780731201,
        2.051734209060669,
        2.0655927658081055,
        2.0630557537078857,
        2.061183214187622,
        2.0608208179473877,
        2.060169219970703,
        2.058816909790039,
        2.0575907230377197,
        2.0545270442962646,
        2.0544536113739014,
        2.0532846450805664,
        2.05292010307312,
        2.0518486499786377,
        2.0518715381622314,
        2.0517024993896484,
        2.0514113903045654,
        2.0512449741363525,
        2.051388740539551,
        2.050809144973755,
        2.0501182079315186,
        2.0506954193115234,
        2.0502450466156006,
        2.049062728881836,
        2.048727035522461,
        2.048832416534424,
        2.0485036373138428,
        2.048398971557617,
        2.0476179122924805,
        2.048051595687866,
        2.048335313796997,
        2.04773211479187,
        2.047844648361206,
        2.0474627017974854,
        2.0472981929779053,
        2.04774808883667,
        2.0477826595306396,
        2.0475070476531982,
        2.047614812850952,
        2.0471441745758057,
        2.0473620891571045,
        2.0475120544433594,
        2.0478036403656006,
        2.0476953983306885,
        2.0475475788116455,
        2.0476644039154053,
        2.0477919578552246,
        2.047783136367798,
        2.0479981899261475,
        2.0477001667022705,
        2.04768443107605,
        2.0481116771698,
        2.0478861331939697,
        2.0485801696777344,
        2.048119306564331,
        2.0481278896331787,
        2.047966957092285,
        2.0477051734924316,
        2.048452854156494,
        2.048593044281006,
        2.0473358631134033,
        2.047011613845825,
        2.047750949859619,
        2.046621561050415,
        2.0317721366882324,
        2.0345425605773926,
        2.0352413654327393,
        2.0370872020721436,
        2.0378425121307373,
        2.035447359085083,
        2.036170482635498,
        2.033992290496826,
        2.031437397003174,
        2.0304489135742188,
        2.024738311767578,
        2.0133442878723145,
        2.0121753215789795,
        2.0062320232391357,
        2.006875514984131,
        2.0003724098205566,
        1.9949445724487305,
        1.9942806959152222,
        1.9906574487686157,
        1.9909776449203491,
        1.9921178817749023,
        1.9897969961166382,
        1.9896198511123657,
        1.988521933555603,
        1.986761450767517,
        1.985864281654358,
        1.984033226966858,
        1.9824395179748535,
        1.9828615188598633,
        1.9806523323059082,
        1.9807096719741821,
        1.9802061319351196,
        1.9797191619873047,
        1.977017879486084,
        1.97735595703125,
        1.9763069152832031,
        1.9772415161132812,
        1.9771267175674438,
        1.9765793085098267,
        1.976338267326355,
        1.9769023656845093,
        1.9762588739395142,
        1.975373387336731,
        1.9738985300064087,
        1.9758325815200806,
        1.9762471914291382,
        1.9750679731369019,
        1.9757388830184937,
        1.9805068969726562,
        1.9804964065551758,
        1.9838485717773438,
        1.9856666326522827,
        1.9855908155441284,
        1.9845772981643677,
        1.9844542741775513,
        1.9846467971801758,
        1.9870659112930298,
        1.988295078277588,
        1.9893635511398315,
        1.9892168045043945,
        1.9896793365478516,
        1.990286946296692,
        1.9928359985351562,
        1.990677833557129,
        1.9901684522628784,
        1.9930471181869507,
        1.9929194450378418,
        1.9917802810668945,
        1.9896541833877563,
        1.9897719621658325,
        1.9891815185546875,
        1.986977219581604,
        1.9905281066894531,
        1.9933481216430664,
        1.9965019226074219,
        1.9946178197860718,
        1.9958244562149048,
        1.9972295761108398,
        1.9968070983886719,
        1.9992343187332153,
        1.999025821685791,
        1.9999748468399048,
        2.000054121017456,
        2.000419855117798,
        2.0012261867523193,
        2.0006027221679688,
        2.0012643337249756,
        2.0004899501800537,
        2.0016939640045166,
        2.0010933876037598,
        2.0057849884033203,
        2.0048460960388184,
        2.008023977279663,
        2.016303300857544,
        2.0203921794891357,
        2.024498701095581,
        2.027509927749634,
        2.026627779006958,
        2.0375125408172607,
        2.0361666679382324,
        2.037008047103882,
        2.037860155105591,
        2.038180112838745,
        2.039487361907959,
        2.0396745204925537,
        2.0391478538513184,
        2.040250062942505,
        2.0393307209014893,
        2.0396080017089844,
        2.0406477451324463,
        2.039994955062866,
        2.0407121181488037,
        2.040722131729126,
        2.0414748191833496,
        2.0418660640716553,
        2.0415594577789307,
        2.040173292160034,
        2.0402004718780518,
        2.040710210800171,
        2.040271043777466,
        2.0399668216705322,
        2.039891004562378,
        2.0395872592926025,
        2.039740800857544,
        2.039902687072754,
        2.0394256114959717,
        2.0400216579437256,
        2.039433240890503,
        2.0394859313964844,
        2.039137363433838,
        2.03908109664917,
        2.038715124130249,
        2.039036750793457,
        2.039292573928833,
        2.039778709411621,
        2.0396788120269775,
        2.039044141769409,
        2.038862466812134,
        2.037832021713257,
        2.0380566120147705,
        2.0386154651641846,
        2.0114262104034424,
        1.9577401876449585,
        1.9584745168685913,
        1.721221923828125,
        1.5645047426223755,
        1.4393583536148071,
        1.277979850769043,
        1.1903904676437378,
        1.15017569065094,
        0.9819864630699158,
        0.9203555583953857,
        0.8594943881034851,
        0.8289501070976257,
        0.7630087733268738,
        0.7468187808990479,
        0.730254590511322,
        0.7050939202308655,
        0.694826066493988,
        0.6629279255867004,
        0.6559594869613647,
        0.6452719569206238,
        0.6305883526802063,
        0.6212342381477356,
        0.6191593408584595,
        0.6185588240623474,
        0.5953152775764465,
        0.6227450370788574,
        0.6236860752105713,
        0.6450285911560059,
        0.6525232195854187,
        0.6496085524559021,
        0.6568883061408997,
        0.6736903786659241,
        0.6600254774093628,
        0.6713258624076843,
        0.6639823913574219,
        0.6654209494590759,
        0.6638818383216858,
        0.6672402024269104,
        0.6687712073326111,
        0.6566253900527954,
        0.6447256207466125,
        0.6323108077049255,
        0.6203421950340271,
        0.6124292016029358,
        0.6121702790260315,
        0.5987967252731323,
        0.7480151653289795,
        0.7905414700508118,
        0.8331236839294434,
        0.9416211247444153,
        1.0743435621261597,
        1.1566131114959717,
        1.4121805429458618,
        1.637741208076477,
        1.8187227249145508,
        2.003159284591675,
        2.0639302730560303,
        2.059422254562378,
        2.058778762817383,
        2.0582120418548584,
        2.055529832839966,
        2.0543668270111084,
        2.055370807647705,
        2.054871082305908,
        2.0525095462799072,
        2.049748420715332,
        2.048532247543335,
        2.048859119415283,
        2.047194480895996,
        2.0457370281219482,
        2.045990467071533,
        2.0453150272369385,
        2.046175003051758,
        2.0457255840301514,
        2.0462095737457275,
        2.0448906421661377,
        2.0449392795562744,
        2.044551372528076,
        2.04414963722229,
        2.044102191925049,
        2.0435383319854736,
        2.0423405170440674,
        2.0438175201416016,
        2.042525291442871,
        2.0435922145843506,
        2.041938543319702,
        2.041409730911255,
        2.0414979457855225,
        2.039794445037842,
        2.0394175052642822,
        2.039964437484741,
        2.0398149490356445,
        2.040278434753418,
        2.039001941680908,
        2.039713144302368,
        2.0399606227874756,
        2.039710283279419,
        2.0400800704956055,
        2.039867401123047,
        2.039213180541992,
        2.0388031005859375,
        2.038902521133423,
        2.0392706394195557,
        2.038738489151001,
        2.0393784046173096,
        2.0394904613494873,
        2.039585828781128,
        2.0397160053253174,
        2.0401434898376465,
        2.0404067039489746,
        2.0406291484832764,
        2.0396625995635986,
        2.040159225463867,
        2.0400359630584717,
        2.0402698516845703,
        2.040921926498413,
        2.0406599044799805,
        2.039794683456421,
        2.0408153533935547,
        2.0398004055023193,
        2.038490056991577,
        2.039576768875122,
        2.039832353591919,
        2.039571762084961,
        2.0405759811401367,
        2.0396738052368164,
        2.0393760204315186,
        2.037921667098999,
        2.0369560718536377,
        2.034480333328247,
        2.033959150314331,
        2.0350935459136963,
        2.0294454097747803,
        2.0231001377105713,
        2.0193347930908203,
        2.016491651535034,
        2.016519784927368,
        2.0147595405578613,
        2.0132997035980225,
        2.0138721466064453,
        2.0145626068115234,
        2.0157787799835205,
        2.0152854919433594,
        2.0118324756622314,
        2.011922597885132,
        2.0098979473114014,
        2.0088765621185303,
        2.009864091873169,
        2.0116660594940186,
        2.0105056762695312,
        2.0112600326538086,
        2.012288808822632,
        2.0083580017089844,
        2.0087618827819824,
        2.007573366165161,
        2.0073869228363037,
        2.0056939125061035,
        2.0048556327819824,
        2.004777431488037,
        2.003899335861206,
        2.0033175945281982,
        2.0025765895843506,
        2.0012996196746826,
        2.0016605854034424,
        1.9966777563095093,
        1.9960726499557495,
        1.9963226318359375,
        1.995484709739685,
        1.993322730064392,
        1.9933799505233765,
        1.9938416481018066,
        1.9932700395584106,
        1.9929003715515137,
        1.9921468496322632,
        1.9917069673538208,
        1.993172526359558,
        1.9936203956604004,
        1.99219810962677,
        1.991637110710144,
        1.9889613389968872,
        1.9886136054992676,
        1.9875454902648926,
        1.987060546875,
        1.9867258071899414,
        1.986451506614685,
        1.9857105016708374,
        1.9858814477920532,
        1.9843449592590332,
        1.9825392961502075,
        1.9736899137496948,
        1.975451946258545,
        1.9759758710861206,
        1.974690556526184,
        1.9739083051681519,
        1.9726661443710327,
        1.9700485467910767,
        1.9674898386001587,
        1.9690908193588257,
        1.9734225273132324,
        1.9785624742507935,
        1.9802318811416626,
        1.9798790216445923,
        1.9859018325805664,
        1.9886449575424194,
        1.9893183708190918,
        1.9949911832809448,
        1.9876500368118286,
        2.0001280307769775,
        2.0270729064941406,
        2.0140836238861084,
        2.01656174659729,
        2.031022787094116,
        2.034884452819824,
        2.0412533283233643,
        2.0412728786468506,
        2.041632890701294,
        2.0435593128204346,
        2.04742431640625,
        2.0477941036224365,
        2.048433542251587,
        2.048410177230835,
        2.0486350059509277,
        2.0484769344329834,
        2.0483925342559814,
        2.048190116882324,
        2.048436403274536,
        2.0484206676483154,
        2.04850172996521,
        2.04844331741333,
        2.0489931106567383,
        2.04853892326355,
        2.0482590198516846,
        2.048222780227661,
        2.0484561920166016,
        2.0487277507781982,
        2.0478556156158447,
        2.0484676361083984,
        2.048438787460327,
        2.048569440841675,
        2.048757791519165,
        2.048489809036255,
        2.048461675643921,
        2.048088788986206,
        2.047973871231079,
        2.048037528991699,
        2.0477521419525146,
        2.0484812259674072,
        2.048161029815674,
        2.048269510269165,
        2.0480735301971436,
        2.0491364002227783,
        2.048362970352173,
        2.048335313796997,
        2.0484459400177,
        2.047755718231201,
        2.047696590423584,
        2.048065423965454,
        2.0483343601226807,
        2.0486509799957275,
        2.0492055416107178,
        2.049736261367798,
        2.035902500152588,
        2.03672194480896,
        1.9653879404067993,
        1.8743433952331543,
        1.7517908811569214,
        1.7091799974441528,
        1.556681752204895,
        1.4924224615097046,
        1.378353238105774,
        1.313830852508545,
        1.2327884435653687,
        1.1890413761138916,
        1.1027194261550903,
        1.0837370157241821,
        1.040040373802185,
        1.0166068077087402,
        0.989586353302002,
        0.9610697627067566,
        0.9286364912986755,
        0.9094855785369873,
        0.8960952758789062,
        0.8819255828857422,
        0.8399402499198914,
        0.8156595826148987,
        0.7912070155143738,
        0.7666850090026855,
        0.7406719326972961,
        0.7255818247795105,
        0.7008359432220459,
        0.6637147068977356,
        0.6473541855812073,
        0.6425744295120239,
        0.6288365721702576,
        0.623711347579956,
        0.6154650449752808,
        0.6159006953239441,
        0.6031774282455444,
        0.6072962880134583,
        0.5899698138237,
        0.5977515578269958,
        0.5737488865852356,
        0.48052704334259033,
        0.46282660961151123,
        0.4733150005340576,
        0.4706198275089264,
        0.46878311038017273,
        0.4794909656047821,
        0.45558133721351624,
        0.42682895064353943,
        0.4244164228439331,
        0.4217391312122345,
        0.413815975189209,
        0.44626951217651367,
        0.4476196765899658,
        0.5597220659255981,
        0.6392475366592407,
        0.7370343804359436,
        0.8092610239982605,
        1.0716074705123901,
        1.1910183429718018,
        1.3777457475662231,
        1.4428791999816895,
        1.649018406867981,
        1.71774160861969,
        1.8592337369918823,
        1.9028688669204712,
        1.9935728311538696,
        2.014354705810547,
        2.0576345920562744,
        2.0642402172088623,
        2.0619828701019287,
        2.060645341873169,
        2.0604422092437744,
        2.058756113052368,
        2.0574066638946533,
        2.0548970699310303,
        2.0547749996185303,
        2.0532889366149902,
        2.052797555923462,
        2.0529587268829346,
        2.0520944595336914,
        2.0520102977752686,
        2.0519299507141113,
        2.0514254570007324,
        2.0510363578796387,
        2.0511648654937744,
        2.051337957382202,
        2.050565004348755,
        2.0502572059631348,
        2.050168037414551,
        2.048668622970581,
        2.0491068363189697,
        2.0491111278533936,
        2.0487706661224365,
        2.0487260818481445,
        2.0490798950195312,
        2.049206018447876,
        2.0483357906341553,
        2.0486247539520264,
        2.0483200550079346,
        2.0483062267303467,
        2.0488359928131104,
        2.048367738723755,
        2.0487358570098877,
        2.0492029190063477,
        2.0481297969818115,
        2.047865152359009,
        2.048395872116089,
        2.04829740524292,
        2.0483198165893555,
        2.04876446723938,
        2.048236846923828,
        2.0485923290252686,
        2.0483131408691406,
        2.0485191345214844,
        2.0488646030426025,
        2.049225091934204,
        2.0484001636505127,
        2.0481717586517334,
        2.0475852489471436,
        2.0467379093170166,
        2.0472710132598877,
        2.0466196537017822,
        2.0424087047576904,
        2.0345566272735596,
        2.0342273712158203,
        2.033353090286255,
        2.0140435695648193,
        2.017956495285034,
        2.002671480178833,
        1.999800205230713,
        1.9944967031478882,
        1.9952278137207031,
        1.9908326864242554,
        1.985724925994873,
        1.9851101636886597,
        1.9844101667404175,
        1.9867154359817505,
        1.9868512153625488,
        1.9859275817871094,
        1.984485149383545,
        1.9851127862930298,
        1.9854984283447266,
        1.9855033159255981,
        1.984105110168457,
        1.982680320739746,
        1.98335599899292,
        1.982857584953308,
        1.9835695028305054,
        1.9836119413375854,
        1.9831318855285645,
        1.9823817014694214,
        1.9825927019119263,
        1.9829236268997192,
        1.983239769935608,
        1.9836698770523071,
        1.9828333854675293,
        1.983285903930664,
        1.9826716184616089,
        1.9841357469558716,
        1.9843759536743164,
        1.9856292009353638,
        1.9840892553329468,
        1.9854131937026978,
        1.9865022897720337,
        1.9876633882522583,
        1.9877105951309204,
        1.9871305227279663,
        1.9877904653549194,
        1.9881216287612915,
        1.988477110862732,
        1.9879525899887085,
        1.9890419244766235,
        1.9892443418502808,
        1.9887539148330688,
        1.9890843629837036,
        1.9894870519638062,
        1.9890122413635254,
        1.9895844459533691,
        1.988836407661438,
        1.9904108047485352,
        1.9894886016845703,
        1.9891124963760376,
        1.9886738061904907,
        1.9897092580795288,
        1.990054965019226,
        1.9915324449539185,
        2.0040807723999023,
        2.003239393234253,
        2.009769916534424,
        2.0091264247894287,
        2.0201051235198975,
        2.025392770767212,
        2.0312235355377197,
        2.0379819869995117,
        2.0430638790130615,
        2.0474026203155518,
        2.0485353469848633,
        2.0480310916900635,
        2.048269271850586,
        2.0458476543426514,
        2.045686960220337,
        2.04618763923645,
        2.046287775039673,
        2.048285961151123,
        2.0483205318450928,
        2.0461039543151855,
        2.0459840297698975,
        2.0461065769195557,
        2.0462632179260254,
        2.0459682941436768,
        2.045807361602783,
        2.046147108078003,
        2.0458810329437256,
        2.046306848526001,
        2.046442747116089,
        2.049299478530884,
        2.0485198497772217,
        2.044745445251465,
        2.0243070125579834,
        1.9980937242507935,
        1.9569791555404663,
        1.9135392904281616,
        1.836063265800476,
        1.7579946517944336,
        1.6403346061706543,
        1.5544418096542358,
        1.4793049097061157,
        1.4034727811813354,
        1.3440375328063965,
        1.3024510145187378,
        1.263521671295166,
        1.2367676496505737,
        1.219394564628601,
        1.2017735242843628,
        1.191343903541565,
        1.1852682828903198,
        1.1752406358718872,
        1.1601976156234741,
        1.145341396331787,
        1.1207162141799927,
        1.1112207174301147,
        1.096382737159729,
        1.0807557106018066,
        1.0681878328323364,
        1.048690676689148,
        1.0283359289169312,
        1.005135416984558,
        0.9908066391944885,
        0.9642252922058105,
        0.9206640720367432,
        0.8794364929199219,
        0.8603048920631409,
        0.8550312519073486,
        0.809138298034668,
        0.7939149737358093,
        0.7701048851013184,
        0.7637850642204285,
        0.7475411295890808,
        0.744858980178833,
        0.7504649758338928,
        0.7499319911003113,
        0.7447137832641602,
        0.745400607585907,
        0.7349664568901062,
        0.728834867477417,
        0.7393748760223389,
        0.743311882019043,
        0.7561583518981934,
        0.7666373252868652,
        0.7565733790397644,
        0.7614449858665466,
        0.7682660222053528,
        0.7833542227745056,
        0.8076137900352478,
        0.8195822238922119,
        0.8732162117958069,
        0.9206011891365051,
        1.0015556812286377,
        1.0679022073745728,
        1.1557508707046509,
        1.290841817855835,
        1.527873158454895,
        1.7448453903198242,
        1.929709792137146,
        2.051835060119629,
        2.066559314727783,
        2.0643584728240967,
        2.0637381076812744,
        2.06377911567688,
        2.059969425201416,
        2.0597407817840576,
        2.0587613582611084,
        2.0578720569610596,
        2.055521249771118,
        2.0527429580688477,
        2.0521275997161865,
        2.050952672958374,
        2.050133466720581,
        2.0493149757385254,
        2.051738739013672,
        2.0516583919525146,
        2.0486056804656982,
        2.0481674671173096,
        2.0519566535949707,
        2.0514447689056396,
        2.0483782291412354,
        2.047898292541504,
        2.0481491088867188,
        2.0476176738739014,
        2.046623706817627,
        2.047428846359253,
        2.0464110374450684,
        2.0467121601104736,
        2.046250343322754,
        2.046941041946411,
        2.046417236328125,
        2.0465805530548096,
        2.0467755794525146,
        2.04599928855896,
        2.0470006465911865,
        2.046675443649292,
        2.046633005142212,
        2.0462474822998047,
        2.046398878097534,
        2.046619176864624,
        2.046717643737793,
        2.0459234714508057,
        2.046234369277954,
        2.0463268756866455,
        2.048802137374878,
        2.048560857772827,
        2.0461747646331787,
        2.0461933612823486,
        2.0482943058013916,
        2.0485684871673584,
        2.046218156814575,
        2.0459210872650146,
        2.0449888706207275,
        2.044079303741455,
        2.045621156692505,
        2.04278302192688,
        2.0374529361724854,
        2.027921438217163,
        2.021074056625366,
        2.0235984325408936,
        2.0141217708587646,
        2.0056560039520264,
        2.0068359375,
        1.9917720556259155,
        1.991076946258545,
        1.987314224243164,
        1.9882320165634155,
        1.9899460077285767,
        1.9877954721450806,
        1.9884576797485352,
        1.9882231950759888,
        1.9859479665756226,
        1.985291838645935,
        1.9856220483779907,
        1.9843120574951172,
        1.9838539361953735,
        1.9840021133422852,
        1.9840275049209595,
        1.9828909635543823,
        1.9811667203903198,
        1.980958104133606,
        1.9807733297348022,
        1.9808621406555176,
        1.9821244478225708,
        1.9824811220169067,
        1.9823966026306152,
        1.9820798635482788,
        1.9829972982406616,
        1.9826231002807617,
        1.982770562171936,
        1.9825725555419922,
        1.982575535774231,
        1.9831489324569702,
        1.9827896356582642,
        1.9821515083312988,
        1.983730435371399,
        1.984359860420227,
        1.9839662313461304,
        1.9855319261550903,
        1.9865039587020874,
        1.986928939819336,
        1.9833234548568726,
        1.9818463325500488,
        1.9826148748397827,
        1.9836777448654175,
        1.9810353517532349,
        1.9817566871643066,
        1.980120301246643,
        1.9773359298706055,
        1.981550693511963,
        1.9868215322494507,
        1.9855958223342896,
        1.993665099143982,
        1.9943642616271973,
        2.000380277633667,
        2.0012638568878174,
        2.000776529312134,
        2.034050941467285,
        2.038151502609253,
        2.0441906452178955,
        2.046869993209839,
        2.0479393005371094,
        2.0467169284820557,
        2.0482404232025146,
        2.0482380390167236,
        2.047842025756836,
        2.048866033554077,
        2.0488338470458984,
        2.048011064529419,
        2.0482242107391357,
        2.0483477115631104,
        2.0480754375457764,
        2.0484654903411865,
        2.0486080646514893,
        2.0488131046295166,
        2.0484516620635986,
        2.048466920852661,
        2.0488760471343994,
        2.04880428314209,
        2.0490787029266357,
        2.0486414432525635,
        2.048341751098633,
        2.0491135120391846,
        2.0486698150634766,
        2.048278570175171,
        2.0485222339630127,
        2.0486080646514893,
        2.0484538078308105,
        2.048417329788208,
        2.048729658126831,
        2.048025369644165,
        2.047996759414673,
        2.048286199569702,
        2.0480966567993164,
        2.047559976577759,
        2.048163414001465,
        2.048431634902954,
        2.0481274127960205,
        2.047992706298828,
        2.047952651977539,
        2.0481886863708496,
        2.047980308532715,
        2.0480916500091553,
        2.048137903213501,
        2.0477545261383057,
        2.0476367473602295,
        2.0181193351745605,
        1.9728096723556519,
        1.9198517799377441,
        1.7367175817489624,
        1.5872708559036255,
        1.400903344154358,
        1.2597848176956177,
        1.0994731187820435,
        0.958223283290863,
        0.8601158261299133,
        0.8232343196868896,
        0.8091387152671814,
        0.7915111184120178,
        0.7902554869651794,
        0.7565581798553467,
        0.7278425693511963,
        0.6634705066680908,
        0.6402318477630615,
        0.6537889242172241,
        0.6353601813316345,
        0.6391408443450928,
        0.6280785202980042,
        0.5912067890167236,
        0.552362322807312,
        0.5462160706520081,
        0.5127675533294678,
        0.49617934226989746,
        0.4958280622959137,
        0.5103428959846497,
        0.510200023651123,
        0.5070657730102539,
        0.4525984227657318,
        0.44382715225219727,
        0.4512979984283447,
        0.4404674470424652,
        0.45716142654418945,
        0.423757404088974,
        0.42174291610717773,
        0.42002853751182556,
        0.418943852186203,
        0.4294077455997467,
        0.4092714488506317,
        0.39965248107910156,
        0.39141878485679626,
        0.3853188455104828,
        0.3859077990055084,
        0.3886777460575104,
        0.40163376927375793,
        0.4164259731769562,
        0.44503143429756165,
        0.47646117210388184,
        0.6197161078453064,
        0.7076612114906311,
        0.8746824264526367,
        0.9890807271003723,
        1.2051512002944946,
        1.4411360025405884,
        1.7412257194519043,
        2.0072333812713623,
        2.068572759628296,
        2.0690114498138428,
        2.067094564437866,
        2.066326379776001,
        2.0654561519622803,
        2.063580274581909,
        2.061722755432129,
        2.0607693195343018,
        2.0607824325561523,
        2.0600662231445312,
        2.0583302974700928,
        2.054988145828247,
        2.0539467334747314,
        2.0531625747680664,
        2.0520925521850586,
        2.05123233795166,
        2.0505025386810303,
        2.051433801651001,
        2.051234006881714,
        2.0513083934783936,
        2.051521062850952,
        2.050640344619751,
        2.050344705581665,
        2.049739122390747,
        2.049828290939331,
        2.049298048019409,
        2.049781084060669,
        2.0493862628936768,
        2.049274206161499,
        2.0491647720336914,
        2.048821210861206,
        2.0486106872558594,
        2.0489165782928467,
        2.0490334033966064,
        2.048426866531372,
        2.048487663269043,
        2.048081636428833,
        2.0488312244415283,
        2.0478341579437256,
        2.0482242107391357,
        2.0142929553985596,
        1.9977025985717773,
        2.0097501277923584,
        2.0177948474884033,
        2.002082347869873,
        1.9750713109970093,
        1.966341495513916,
        1.9604867696762085,
        1.9563924074172974,
        1.9494662284851074,
        1.9273134469985962,
        1.9089106321334839,
        1.8977051973342896,
        1.895361304283142,
        1.891035556793213,
        1.8826316595077515,
        1.8959661722183228,
        1.8928418159484863,
        1.8895207643508911,
        1.8864507675170898,
        1.8844577074050903,
        1.8809456825256348,
        1.8849538564682007,
        1.882001519203186,
        1.8867706060409546,
        1.8929768800735474,
        1.9008169174194336,
        1.9015334844589233,
        1.9062508344650269,
        1.9089709520339966,
        1.9104598760604858,
        1.9118719100952148,
        1.9135817289352417,
        1.913191795349121,
        1.9136004447937012,
        1.9132393598556519,
        1.913892149925232,
        1.91337251663208,
        1.913586974143982,
        1.9125456809997559,
        1.9128516912460327,
        1.9113715887069702,
        1.911537528038025,
        1.9103269577026367,
        1.9108320474624634,
        1.9111852645874023,
        1.911790370941162,
        1.9112567901611328,
        1.910046935081482,
        1.911126732826233,
        1.9109121561050415,
        1.9100390672683716,
        1.9096970558166504,
        1.9103187322616577,
        1.909708023071289,
        1.910357117652893,
        1.9091016054153442,
        1.908057689666748,
        1.902788758277893,
        1.9010599851608276,
        1.8973726034164429,
        1.8944735527038574,
        1.8906861543655396,
        1.8908952474594116,
        1.8819966316223145,
        1.8732342720031738,
        1.867601752281189,
        1.863806128501892,
        1.8592853546142578,
        1.8579506874084473,
        1.8596404790878296,
        1.8702173233032227,
        1.8655027151107788,
        1.8719972372055054,
        1.8821548223495483,
        1.8823723793029785,
        1.8785449266433716,
        1.8918356895446777,
        1.8940709829330444,
        1.9057925939559937,
        1.9067330360412598,
        1.9188977479934692,
        1.9348927736282349,
        1.9588028192520142,
        1.9645682573318481,
        1.963290810585022,
        1.982782244682312,
        1.985424518585205,
        1.969152808189392,
        1.9606504440307617,
        1.9935766458511353,
        2.0166590213775635,
        2.048123598098755,
        2.0334177017211914,
        2.0284533500671387,
        2.0312156677246094,
        2.0496795177459717,
        2.0496842861175537,
        2.0493557453155518,
        2.048755645751953,
        2.04885196685791,
        2.0487864017486572,
        2.0457446575164795,
        2.021864652633667,
        1.9395242929458618,
        1.868308663368225,
        1.7277625799179077,
        1.6428004503250122,
        1.462458610534668,
        1.358864188194275,
        1.184407353401184,
        1.0970550775527954,
        0.9986588954925537,
        0.9445276260375977,
        0.8731865286827087,
        0.8476554751396179,
        0.8063638210296631,
        0.7932104468345642,
        0.7449638843536377,
        0.7114529609680176,
        0.6869010925292969,
        0.683596134185791,
        0.6591601967811584,
        0.6597468256950378,
        0.6665279865264893,
        0.664437472820282,
        0.671924889087677,
        0.5611177086830139,
        0.5373393893241882,
        0.49640464782714844,
        0.4728271961212158,
        0.5099437236785889,
        0.5059905648231506,
        0.49165260791778564,
        0.4894280731678009,
        0.5089043974876404,
        0.5283136367797852,
        0.5438712239265442,
        0.5526809096336365,
        0.5372524261474609,
        0.5750933885574341,
        0.5732240676879883,
        0.45469173789024353,
        0.6614919304847717,
        0.7324336171150208,
        0.7358199954032898,
        0.9927131533622742,
        1.1593611240386963,
        1.6045910120010376,
        1.832143783569336,
        2.07353138923645,
        2.073417901992798,
        2.070371150970459,
        2.0681984424591064,
        2.066396474838257,
        2.065966844558716,
        2.0659072399139404,
        2.063095808029175,
        2.061917543411255,
        2.0619986057281494,
        2.0604186058044434,
        2.0586307048797607,
        2.0576424598693848,
        2.0563132762908936,
        2.054208517074585,
        2.053584337234497,
        2.0538110733032227,
        2.0518970489501953,
        2.0515434741973877,
        2.0519659519195557,
        2.052321672439575,
        2.05198335647583,
        2.0511858463287354,
        2.05159592628479,
        2.051466703414917,
        2.0510671138763428,
        2.050908327102661,
        2.0511248111724854,
        2.049997091293335,
        2.050379753112793,
        2.050191879272461,
        2.0491957664489746,
        2.04962420463562,
        2.049222707748413,
        2.049830675125122,
        2.049597978591919,
        2.0490691661834717,
        2.049199342727661,
        2.0492746829986572,
        2.0492658615112305,
        2.0495622158050537,
        2.0493061542510986,
        2.0492360591888428,
        2.049664258956909,
        2.0496766567230225,
        2.049037456512451,
        2.0493156909942627,
        2.049790143966675,
        2.0494744777679443,
        2.04485821723938,
        2.0152924060821533,
        2.0031039714813232,
        1.9762073755264282,
        1.9469213485717773,
        1.9182767868041992,
        1.90249764919281,
        1.893322467803955,
        1.8863143920898438,
        1.8875924348831177,
        1.8786784410476685,
        1.8816465139389038,
        1.8783079385757446,
        1.8743500709533691,
        1.8668465614318848,
        1.8667445182800293,
        1.8604575395584106,
        1.8572779893875122,
        1.8546258211135864,
        1.8639496564865112,
        1.8692787885665894,
        1.8755792379379272,
        1.8794670104980469,
        1.8832615613937378,
        1.8851532936096191,
        1.8909072875976562,
        1.894276738166809,
        1.8985332250595093,
        1.8996893167495728,
        1.9015308618545532,
        1.9018206596374512,
        1.9055466651916504,
        1.9068082571029663,
        1.908010482788086,
        1.9086467027664185,
        1.9107471704483032,
        1.9130364656448364,
        1.9134794473648071,
        1.913771152496338,
        1.914810299873352,
        1.9150625467300415,
        1.91548490524292,
        1.9158433675765991,
        1.9166051149368286,
        1.9181889295578003,
        1.91848623752594,
        1.9187383651733398,
        1.9198192358016968,
        1.9213275909423828,
        1.921773076057434,
        1.9218024015426636,
        1.9219900369644165,
        1.9220257997512817,
        1.9213844537734985,
        1.9194741249084473,
        1.9171257019042969,
        1.9151153564453125,
        1.9131122827529907,
        1.910866379737854,
        1.9070693254470825,
        1.903623104095459,
        1.902809739112854,
        1.9000471830368042,
        1.892216682434082,
        1.8901363611221313,
        1.8833160400390625,
        1.8728952407836914,
        1.877050757408142,
        1.8754925727844238,
        1.88181734085083,
        1.8916306495666504,
        1.9012795686721802,
        1.9091321229934692,
        1.89841890335083,
        1.9222031831741333,
        1.9065742492675781,
        1.905821442604065,
        1.8982677459716797,
        1.9339970350265503,
        1.9348715543746948,
        1.9380415678024292,
        1.934775471687317,
        1.9313031435012817,
        1.9148173332214355,
        1.9070199728012085,
        1.8955391645431519,
        1.8837476968765259,
        1.8756814002990723,
        1.8671965599060059,
        1.852087378501892,
        1.8375310897827148,
        1.8229087591171265,
        1.8039369583129883,
        1.7838703393936157,
        1.7618907690048218,
        1.7648168802261353,
        1.7661875486373901,
        1.7451878786087036,
        1.7285571098327637,
        1.7202461957931519,
        1.7044095993041992,
        1.7202659845352173,
        1.7206025123596191,
        1.7160258293151855,
        1.7115634679794312,
        1.7057981491088867,
        1.7021514177322388,
        1.6866530179977417,
        1.6800514459609985,
        1.6691837310791016,
        1.6554837226867676,
        1.6552902460098267,
        1.648045539855957,
        1.68414306640625,
        1.691764235496521,
        1.7021621465682983,
        1.7270029783248901,
        1.7255859375,
        1.7259758710861206,
        1.7558766603469849,
        1.7806740999221802,
        1.8168716430664062,
        1.8594433069229126,
        1.870897650718689,
        1.87594735622406,
        1.9051884412765503,
        1.916368007659912,
        1.9337788820266724,
        1.9457964897155762,
        1.9565467834472656,
        1.975481390953064,
        1.9887267351150513,
        1.9990326166152954,
        2.020460367202759,
        2.034540891647339,
        2.0348098278045654,
        2.0328686237335205,
        2.023970365524292,
        1.9953498840332031,
        1.953108787536621,
        1.8235448598861694,
        1.704573631286621,
        1.4962382316589355,
        1.3566867113113403,
        1.2173444032669067,
        1.1081546545028687,
        1.0041242837905884,
        0.930611789226532,
        0.8522699475288391,
        0.7688229084014893,
        0.6704995036125183,
        0.6011260747909546,
        0.5525787472724915,
        0.5422782301902771,
        0.5413569808006287,
        0.5587729811668396,
        0.5507290959358215,
        0.39615002274513245,
        0.39571237564086914,
        0.5116453766822815,
        0.4735840857028961,
        0.43217384815216064,
        0.4454953372478485,
        0.43122735619544983,
        0.411719411611557,
        0.4067266881465912,
        0.41544628143310547,
        0.4093724191188812,
        0.40525636076927185,
        0.40003880858421326,
        0.39362987875938416,
        0.39698657393455505,
        0.3983997404575348,
        0.39725375175476074,
        0.3953809440135956,
        0.39018043875694275,
        0.3858671188354492,
        0.39328733086586,
        0.4142042100429535,
        0.42600464820861816,
        0.46772971749305725,
        0.4555906355381012,
        0.5600095987319946,
        0.6198272109031677,
        0.9102559089660645,
        1.0281950235366821,
        1.1964507102966309,
        1.4720773696899414,
        1.724744439125061,
        1.960555911064148,
        2.0697176456451416,
        2.070034980773926,
        2.0694222450256348,
        2.0675084590911865,
        2.0667593479156494,
        2.0647079944610596,
        2.0645554065704346,
        2.062891960144043,
        2.0616672039031982,
        2.0609638690948486,
        2.061070203781128,
        2.0590946674346924,
        2.0572354793548584,
        2.0551791191101074,
        2.0541114807128906,
        2.052828550338745,
        2.051290512084961,
        2.051166296005249,
        2.051400899887085,
        2.0515410900115967,
        2.050523519515991,
        2.050920248031616,
        2.050823450088501,
        2.0500476360321045,
        2.050558090209961,
        2.0502939224243164,
        2.049713373184204,
        2.04964017868042,
        2.0495762825012207,
        2.050132989883423,
        2.049266815185547,
        2.048146963119507,
        2.0396528244018555,
        2.010576009750366,
        1.9443353414535522,
        1.9097295999526978,
        1.9032236337661743,
        1.885040283203125,
        1.865491509437561,
        1.832986831665039,
        1.812239170074463,
        1.7972205877304077,
        1.781177043914795,
        1.750476360321045,
        1.7763303518295288,
        1.7971614599227905,
        1.8009649515151978,
        1.7944074869155884,
        1.8032163381576538,
        1.80665123462677,
        1.8134492635726929,
        1.8184581995010376,
        1.8300299644470215,
        1.8429516553878784,
        1.8525680303573608,
        1.8596018552780151,
        1.866104006767273,
        1.8701319694519043,
        1.8713997602462769,
        1.8829346895217896,
        1.8891897201538086,
        1.8950018882751465,
        1.9013808965682983,
        1.9108762741088867,
        1.920939564704895,
        1.9272651672363281,
        1.935412049293518,
        1.9431456327438354,
        1.950854778289795,
        1.959110140800476,
        1.9648613929748535,
        1.9730339050292969,
        1.9780958890914917,
        1.983756184577942,
        1.9858012199401855,
        1.9899219274520874,
        1.9922298192977905,
        1.9959551095962524,
        1.9975401163101196,
        2.000847101211548,
        2.0024564266204834,
        2.0038106441497803,
        2.005699396133423,
        2.0073986053466797,
        2.009999990463257,
        2.010279417037964,
        2.013087511062622,
        2.014467239379883,
        2.0152409076690674,
        2.017422914505005,
        2.018347978591919,
        2.0182697772979736,
        2.0184993743896484,
        2.019702672958374,
        2.0196502208709717,
        2.0201876163482666,
        2.0190834999084473,
        2.0194666385650635,
        2.0198118686676025,
        2.020496129989624,
        2.020773410797119,
        2.020085096359253,
        2.020451545715332,
        2.020308017730713,
        2.0202219486236572,
        2.020104169845581,
        2.020317554473877,
        2.020766496658325,
        2.020176649093628,
        2.020418405532837,
        2.0200273990631104,
        2.0204598903656006,
        2.020496129989624,
        2.0193288326263428,
        2.0191266536712646,
        2.0189855098724365,
        2.0193369388580322,
        2.0189192295074463,
        2.019019603729248,
        2.019909143447876,
        2.020280122756958,
        2.018307685852051,
        2.01845121383667,
        2.0188827514648438,
        2.0186426639556885,
        2.018096923828125,
        2.0178823471069336,
        2.018414258956909,
        2.017902135848999,
        2.018350839614868,
        2.018758773803711,
        2.01959490776062,
        2.018556833267212,
        2.018434762954712,
        2.0176215171813965,
        2.0187041759490967,
        2.0190200805664062,
        2.0182504653930664,
        2.0189802646636963,
        2.019643545150757,
        2.0203804969787598,
        2.0207440853118896,
        2.0189425945281982,
        2.0180211067199707,
        2.017627716064453,
        2.014918565750122,
        2.012516975402832,
        2.0105693340301514,
        2.0092501640319824,
        2.006293535232544,
        2.004741907119751,
        2.000364303588867,
        1.9970673322677612,
        1.9915229082107544,
        1.9861985445022583,
        1.9804058074951172,
        1.978786587715149,
        1.9751853942871094,
        1.9707242250442505,
        1.967542290687561,
        1.9641185998916626,
        1.9601612091064453,
        1.955792784690857,
        1.9510036706924438,
        1.9455336332321167,
        1.9432364702224731,
        1.9407845735549927,
        1.9370070695877075,
        1.9314680099487305,
        1.9263153076171875,
        1.9209257364273071,
        1.9150891304016113,
        1.9080463647842407,
        1.9004310369491577,
        1.8924695253372192,
        1.8889580965042114,
        1.8844107389450073,
        1.8817100524902344,
        1.8797369003295898,
        1.8791356086730957,
        1.8834425210952759,
        1.8733015060424805,
        1.8674812316894531,
        1.859583854675293,
        1.8588252067565918,
        1.8599849939346313,
        1.8582544326782227,
        1.854338526725769,
        1.8515663146972656,
        1.8365980386734009,
        1.8461655378341675,
        1.8205152750015259,
        1.8241633176803589,
        1.8325763940811157,
        1.8544644117355347,
        1.8800219297409058,
        1.894770622253418,
        1.9156523942947388,
        1.9257477521896362,
        1.9341977834701538,
        1.925639033317566,
        1.932661533355713,
        1.8977504968643188,
        1.8572998046875,
        1.7816705703735352,
        1.7129201889038086,
        1.5881682634353638,
        1.4945999383926392,
        1.3564523458480835,
        1.2224982976913452,
        1.096813678741455,
        1.0121387243270874,
        0.8727340698242188,
        0.801837682723999,
        0.768703281879425,
        0.7464325428009033,
        0.7267774939537048,
        0.7057380676269531,
        0.678713858127594,
        0.6576475501060486,
        0.6398209929466248,
        0.6336938142776489,
        0.48342248797416687,
        0.47026070952415466,
        0.5740963816642761,
        0.5086479783058167,
        0.62636399269104,
        0.5832090377807617,
        0.5814200043678284,
        0.60943204164505,
        0.5694007277488708,
        0.5542144179344177,
        0.6197681427001953,
        0.6073130965232849,
        0.6173718571662903,
        0.6190958023071289,
        0.6324195265769958,
        0.6307322382926941,
        0.6150950789451599,
        0.6211989521980286,
        0.6215350031852722,
        0.6272501349449158,
        0.652576744556427,
        0.6691867709159851,
        0.6978575587272644,
        0.7309987545013428,
        0.9981760382652283,
        1.0606871843338013,
        1.3814951181411743,
        1.5059551000595093,
        1.8790215253829956,
        1.9567292928695679,
        2.065227746963501,
        2.065211057662964,
        2.06315016746521,
        2.0626509189605713,
        2.0607187747955322,
        2.059020757675171,
        2.0583746433258057,
        2.0579960346221924,
        2.055781841278076,
        2.0547139644622803,
        2.0524632930755615,
        2.0512826442718506,
        2.0514371395111084,
        2.0503430366516113,
        2.050213098526001,
        2.050093650817871,
        2.049274444580078,
        2.0489180088043213,
        2.0489866733551025,
        2.048999071121216,
        2.0488617420196533,
        2.0483665466308594,
        2.0480635166168213,
        2.048325300216675,
        2.048257350921631,
        2.048121213912964,
        2.046900987625122,
        2.0480527877807617,
        2.047593355178833,
        2.047405958175659,
        2.0466506481170654,
        2.0469677448272705,
        2.046104669570923,
        2.0462400913238525,
        2.046325922012329,
        2.0464775562286377,
        2.0469541549682617,
        2.0467803478240967,
        2.046971559524536,
        2.04677152633667,
        2.0470120906829834,
        2.046326160430908,
        2.0461177825927734,
        2.0463383197784424,
        2.0461151599884033,
        2.0462334156036377,
        2.046107530593872,
        2.0457651615142822,
        2.045893907546997,
        2.0458030700683594,
        2.0455052852630615,
        2.0460026264190674,
        2.046076774597168,
        2.0461456775665283,
        2.0459604263305664,
        2.0458486080169678,
        2.0459659099578857,
        2.04601788520813,
        2.0460453033447266,
        2.045940637588501,
        2.0461361408233643,
        2.0464165210723877,
        2.045881986618042,
        2.045823335647583,
        2.046316146850586,
        2.0464046001434326,
        2.0460803508758545,
        2.04557204246521,
        2.0461905002593994,
        2.0462563037872314,
        2.044779062271118,
        2.0292842388153076,
        2.0167453289031982,
        1.9871102571487427,
        1.9379738569259644,
        1.9442238807678223,
        1.8988999128341675,
        1.865732192993164,
        1.8327916860580444,
        1.7991341352462769,
        1.7634576559066772,
        1.7281981706619263,
        1.6958383321762085,
        1.7186355590820312,
        1.7078582048416138,
        1.7108612060546875,
        1.7180900573730469,
        1.7205582857131958,
        1.7345023155212402,
        1.7417267560958862,
        1.7547775506973267,
        1.7662606239318848,
        1.782893180847168,
        1.7892459630966187,
        1.8017497062683105,
        1.8045414686203003,
        1.8161886930465698,
        1.8224445581436157,
        1.8298711776733398,
        1.836416244506836,
        1.8506498336791992,
        1.8602217435836792,
        1.872207760810852,
        1.8785187005996704,
        1.887284755706787,
        1.8969208002090454,
        1.9061802625656128,
        1.912629246711731,
        1.9202146530151367,
        1.9210444688796997,
        1.9290680885314941,
        1.933559536933899,
        1.9398828744888306,
        1.943655014038086,
        1.9515752792358398,
        1.953261375427246,
        1.9602652788162231,
        1.9636386632919312,
        1.9708000421524048,
        1.9741601943969727,
        1.9805406332015991,
        1.9836453199386597,
        1.9886813163757324,
        1.9915032386779785,
        1.995639681816101,
        1.9987303018569946,
        2.0028231143951416,
        2.0036425590515137,
        2.005741834640503,
        2.00740122795105,
        2.0095303058624268,
        2.0108067989349365,
        2.0126354694366455,
        2.0142433643341064,
        2.015388011932373,
        2.015069007873535,
        2.015789270401001,
        2.0160648822784424,
        2.016911268234253,
        2.0167293548583984,
        2.0184781551361084,
        2.018357992172241,
        2.0181243419647217,
        2.0184333324432373,
        2.019014596939087,
        2.019085168838501,
        2.0181825160980225,
        2.018373727798462,
        2.0199127197265625,
        2.020123243331909,
        2.0204193592071533,
        2.020909070968628,
        2.0206615924835205,
        2.0209009647369385,
        2.0206637382507324,
        2.020531415939331,
        2.0201306343078613,
        2.019906520843506,
        2.0202343463897705,
        2.019940137863159,
        2.0199320316314697,
        2.020221471786499,
        2.0199475288391113,
        2.020378351211548,
        2.02013897895813,
        2.019284963607788,
        2.0194103717803955,
        2.0197200775146484,
        2.0202441215515137,
        2.0200254917144775,
        2.01921010017395,
        2.0190236568450928,
        2.0192606449127197,
        2.0195465087890625,
        2.0195083618164062,
        2.0200130939483643,
        2.019873857498169,
        2.0200345516204834,
        2.0199649333953857,
        2.0201656818389893,
        2.021362543106079,
        2.022097587585449,
        2.02130126953125,
        2.024362802505493,
        2.024277448654175,
        2.0243093967437744,
        2.0250914096832275,
        2.0245420932769775,
        2.023477077484131,
        2.0237691402435303,
        2.022613763809204,
        2.021362066268921,
        2.020317554473877,
        2.0205671787261963,
        2.017085313796997,
        2.0153324604034424,
        2.013306140899658,
        2.0087730884552,
        2.00677752494812,
        2.004033327102661,
        2.0014007091522217,
        2.000535249710083,
        1.9981406927108765,
        1.9942210912704468,
        1.9891961812973022,
        1.9851679801940918,
        1.9792919158935547,
        1.976817011833191,
        1.97510826587677,
        1.9668960571289062,
        1.9603395462036133,
        1.959789752960205,
        1.9526945352554321,
        1.950057864189148,
        1.9542421102523804,
        1.9517682790756226,
        1.9425185918807983,
        1.937951683998108,
        1.9289220571517944,
        1.9160367250442505,
        1.9080138206481934,
        1.9008315801620483,
        1.8869398832321167,
        1.8731266260147095,
        1.8634449243545532,
        1.870664119720459,
        1.834187388420105,
        1.8279119729995728,
        1.8101986646652222,
        1.7839144468307495,
        1.7504287958145142,
        1.7554019689559937,
        1.7574315071105957,
        1.7697910070419312,
        1.7859816551208496,
        1.8001073598861694,
        1.8089570999145508,
        1.8243956565856934,
        1.8275197744369507,
        1.84699285030365,
        1.8588956594467163,
        1.8959630727767944,
        1.9265016317367554,
        2.004534959793091,
        2.0403149127960205,
        2.0429744720458984,
        2.042262315750122,
        2.045133113861084,
        2.048524856567383,
        2.049386978149414,
        2.049731969833374,
        2.0496480464935303,
        2.049367666244507,
        2.0491549968719482,
        2.0494015216827393,
        2.049276828765869,
        2.0481503009796143,
        2.0432536602020264,
        1.9712443351745605,
        1.9279636144638062,
        1.7511767148971558,
        1.653277039527893,
        1.5050426721572876,
        1.4138814210891724,
        1.3161051273345947,
        1.2640879154205322,
        1.2258652448654175,
        1.19394850730896,
        1.152177333831787,
        1.126570224761963,
        1.0911579132080078,
        1.0814990997314453,
        1.0118125677108765,
        1.0083075761795044,
        0.9943925738334656,
        0.9845408797264099,
        0.9474875926971436,
        0.9315394759178162,
        0.9066162705421448,
        0.9069789052009583,
        0.9002627730369568,
        0.8805780410766602,
        0.8672502040863037,
        0.8553333878517151,
        0.8378538489341736,
        0.8279734253883362,
        0.8200311660766602,
        0.8160914778709412,
        0.8148999214172363,
        0.8151073455810547,
        0.8147738575935364,
        0.8170300126075745,
        0.8235036730766296,
        0.8351812362670898,
        0.8417918682098389,
        0.8438796997070312,
        0.8564927577972412,
        0.8482516407966614,
        0.8556034564971924,
        0.8668933510780334,
        0.904035747051239,
        0.8617023825645447,
        1.130815029144287,
        1.1672183275222778,
        1.4534869194030762,
        1.628760814666748,
        1.9154108762741089,
        2.0139966011047363,
        2.065319776535034,
        2.0638232231140137,
        2.062047004699707,
        2.0604002475738525,
        2.059898853302002,
        2.0599706172943115,
        2.0582804679870605,
        2.057244300842285,
        2.054194211959839,
        2.0538089275360107,
        2.0537569522857666,
        2.0526673793792725,
        2.0518972873687744,
        2.051793336868286,
        2.05043625831604,
        2.0504441261291504,
        2.05084228515625,
        2.0501868724823,
        2.0509345531463623,
        2.0497665405273438,
        2.0500571727752686,
        2.049727201461792,
        2.04945969581604,
        2.0495107173919678,
        2.049171209335327,
        2.048795461654663,
        2.048290967941284,
        2.0489501953125,
        2.048553943634033,
        2.0482640266418457,
        2.0484883785247803,
        2.0482962131500244,
        2.0484933853149414,
        2.04866099357605,
        2.048269033432007,
        2.048647165298462,
        2.0486481189727783,
        2.0485239028930664,
        2.0479843616485596,
        2.0484230518341064,
        2.0489182472229004,
        2.0484893321990967,
        2.048201560974121,
        2.0482027530670166,
        2.0483477115631104,
        2.046738386154175,
        2.039375066757202,
        2.034827470779419,
        2.0208637714385986,
        2.0004007816314697,
        1.9591690301895142,
        1.9499469995498657,
        1.9152154922485352,
        1.8899327516555786,
        1.8710006475448608,
        1.8263074159622192,
        1.8057876825332642,
        1.786502480506897,
        1.7896422147750854,
        1.8010458946228027,
        1.7944997549057007,
        1.7717270851135254,
        1.7969225645065308,
        1.7916003465652466,
        1.8042443990707397,
        1.8068078756332397,
        1.842440128326416,
        1.8212226629257202,
        1.8556451797485352,
        1.8814119100570679,
        1.8885698318481445,
        1.8991107940673828,
        1.9104644060134888,
        1.917994499206543,
        1.9277591705322266,
        1.9318047761917114,
        1.9391745328903198,
        1.9427539110183716,
        1.9483447074890137,
        1.9519315958023071,
        1.956647515296936,
        1.9602257013320923,
        1.965157151222229,
        1.967950463294983,
        1.9709831476211548,
        1.9746055603027344,
        1.9783296585083008,
        1.9809070825576782,
        1.9849597215652466,
        1.9873687028884888,
        1.991199016571045,
        1.9935989379882812,
        1.9949356317520142,
        1.9968456029891968,
        1.999411940574646,
        1.9997695684432983,
        2.00087308883667,
        2.001845598220825,
        2.002764940261841,
        2.0038530826568604,
        2.00525164604187,
        2.0055668354034424,
        2.0061213970184326,
        2.0071446895599365,
        2.0080854892730713,
        2.0095324516296387,
        2.0082828998565674,
        2.0082106590270996,
        2.007826805114746,
        2.008235216140747,
        2.0085947513580322,
        2.00787615776062,
        2.008073568344116,
        2.0086669921875,
        2.009242296218872,
        2.0082919597625732,
        2.008256196975708,
        2.0083537101745605,
        2.0086982250213623,
        2.0094079971313477,
        2.0096983909606934,
        2.00811505317688,
        2.0078647136688232,
        2.0096631050109863,
        2.009012460708618,
        2.009361505508423,
        2.009877920150757,
        2.0091288089752197,
        2.008735418319702,
        2.0093576908111572,
        2.0083236694335938,
        2.0079896450042725,
        2.007648229598999,
        2.008539915084839,
        2.0084800720214844,
        2.009145498275757,
        2.0092482566833496,
        2.009633779525757,
        2.009117841720581,
        2.0077977180480957,
        2.010775566101074,
        2.011345624923706,
        2.011305570602417,
        2.011082410812378,
        2.0124683380126953,
        2.013920545578003,
        2.014289140701294,
        2.0153377056121826,
        2.016535520553589,
        2.0161423683166504,
        2.0165586471557617,
        2.0155723094940186,
        2.01418137550354,
        2.012695550918579,
        2.0101916790008545,
        2.0081050395965576,
        2.00549578666687,
        2.002506971359253,
        2.0015528202056885,
        1.999280333518982,
        1.9955462217330933,
        1.9910354614257812,
        1.9895488023757935,
        1.9859766960144043,
        1.9833502769470215,
        1.9800602197647095,
        1.9787250757217407,
        1.974222183227539,
        1.9717270135879517,
        1.9682350158691406,
        1.9654208421707153,
        1.9644269943237305,
        1.9570029973983765,
        1.9578604698181152,
        1.9485255479812622,
        1.944311499595642,
        1.9388147592544556,
        1.9272432327270508,
        1.9222553968429565,
        1.9079502820968628,
        1.89966881275177,
        1.8898597955703735,
        1.8835688829421997,
        1.877463698387146,
        1.8621625900268555,
        1.8525928258895874,
        1.8161344528198242,
        1.8065701723098755,
        1.8069936037063599,
        1.7889636754989624,
        1.7667008638381958,
        1.7676024436950684,
        1.7694768905639648,
        1.7708711624145508,
        1.7812258005142212,
        1.788312554359436,
        1.8055082559585571,
        1.815954566001892,
        1.8345766067504883,
        1.8477109670639038,
        1.8489001989364624,
        1.8597835302352905,
        1.9322599172592163,
        1.9744305610656738,
        1.996293067932129,
        2.0148041248321533,
        2.029210090637207,
        2.0471694469451904,
        2.04721736907959,
        2.0473132133483887,
        2.0470802783966064,
        2.0476136207580566,
        2.0477187633514404,
        2.0471601486206055,
        2.0471079349517822,
        2.0468926429748535,
        2.046780586242676,
        2.0467960834503174,
        2.0469772815704346,
        2.0470428466796875,
        2.037123203277588,
        1.9660817384719849,
        1.8931983709335327,
        1.7250518798828125,
        1.5949974060058594,
        1.43706476688385,
        1.3168457746505737,
        1.2274789810180664,
        1.1355103254318237,
        1.0675030946731567,
        0.9706746935844421,
        0.9161580204963684,
        0.9061247706413269,
        0.9017937183380127,
        0.8899080157279968,
        0.8693428039550781,
        0.8605514168739319,
        0.8514973521232605,
        0.8540153503417969,
        0.8261738419532776,
        0.8224384188652039,
        0.8069137930870056,
        0.8078320622444153,
        0.8103287220001221,
        0.8091070055961609,
        0.8031581044197083,
        0.8056915402412415,
        0.799985408782959,
        0.7933189868927002,
        0.7798474431037903,
        0.7742045521736145,
        0.7714893221855164,
        0.7706190943717957,
        0.7661951184272766,
        0.7649447321891785,
        0.7792442440986633,
        0.7815077900886536,
        0.7895199656486511,
        0.8024069666862488,
        0.8197944760322571,
        0.8152301907539368,
        0.8660185933113098,
        0.9324089884757996,
        1.0479810237884521,
        1.2170294523239136,
        1.604603886604309,
        1.7502413988113403,
        1.9247674942016602,
        2.06528639793396,
        2.0630338191986084,
        2.0614755153656006,
        2.0586512088775635,
        2.0589849948883057,
        2.058866262435913,
        2.0573577880859375,
        2.0565602779388428,
        2.0537590980529785,
        2.052760124206543,
        2.05267071723938,
        2.05161452293396,
        2.051154375076294,
        2.0504989624023438,
        2.0497655868530273,
        2.0490341186523438,
        2.049834966659546,
        2.048954725265503,
        2.0479440689086914,
        2.0485339164733887,
        2.0487403869628906,
        2.048459768295288,
        2.049126386642456,
        2.048398017883301,
        2.048232078552246,
        2.0478692054748535,
        2.0476388931274414,
        2.0473053455352783,
        2.046497344970703,
        2.0467984676361084,
        2.0472750663757324,
        2.0468881130218506,
        2.04665207862854,
        2.0467488765716553,
        2.046832799911499,
        2.046992540359497,
        2.0464484691619873,
        2.0464563369750977,
        2.046671152114868,
        2.0467581748962402,
        2.0465610027313232,
        2.0465545654296875,
        2.0469422340393066,
        2.0464494228363037,
        2.0464155673980713,
        2.046801805496216,
        2.0462486743927,
        2.046093463897705,
        2.046487808227539,
        2.0461809635162354,
        2.0471394062042236,
        2.0467121601104736,
        2.0458900928497314,
        2.0339348316192627,
        2.0271494388580322,
        2.0093801021575928,
        1.989452838897705,
        1.9437276124954224,
        1.9318069219589233,
        1.8846698999404907,
        1.8743318319320679,
        1.8375686407089233,
        1.8030914068222046,
        1.7809280157089233,
        1.7796268463134766,
        1.7610512971878052,
        1.7967824935913086,
        1.7860320806503296,
        1.7889108657836914,
        1.7873374223709106,
        1.788578987121582,
        1.79899263381958,
        1.7925277948379517,
        1.810106873512268,
        1.821618676185608,
        1.837628722190857,
        1.8607920408248901,
        1.8768939971923828,
        1.8913768529891968,
        1.9002310037612915,
        1.9097867012023926,
        1.921207308769226,
        1.924020767211914,
        1.9322924613952637,
        1.93988037109375,
        1.9457803964614868,
        1.9500036239624023,
        1.956441879272461,
        1.9583988189697266,
        1.9631710052490234,
        1.9686479568481445,
        1.9732599258422852,
        1.9749397039413452,
        1.9799336194992065,
        1.9849201440811157,
        1.9887274503707886,
        1.9932483434677124,
        1.9947504997253418,
        1.997188925743103,
        1.9998955726623535,
        2.000333786010742,
        2.001718759536743,
        2.0023272037506104,
        2.0025060176849365,
        2.003948926925659,
        2.0047318935394287,
        2.0055181980133057,
        2.0071728229522705,
        2.0084660053253174,
        2.0093069076538086,
        2.0091514587402344,
        2.010479211807251,
        2.0103304386138916,
        2.011338472366333,
        2.0122716426849365,
        2.012507200241089,
        2.0122196674346924,
        2.0135204792022705,
        2.0140221118927,
        2.0129587650299072,
        2.0136911869049072,
        2.014235019683838,
        2.014469861984253,
        2.0148251056671143,
        2.0146515369415283,
        2.014648675918579,
        2.014317274093628,
        2.0144174098968506,
        2.014025926589966,
        2.013822078704834,
        2.0141398906707764,
        2.013781785964966,
        2.0131404399871826,
        2.013869047164917,
        2.0142438411712646,
        2.0141122341156006,
        2.014993667602539,
        2.0136144161224365,
        2.015079975128174,
        2.0140540599823,
        2.0149736404418945,
        2.0159008502960205,
        2.0168423652648926,
        2.016693115234375,
        2.020829439163208,
        2.021117925643921,
        2.0209643840789795,
        2.020644187927246,
        2.0208990573883057,
        2.021653413772583,
        2.0197722911834717,
        2.017763137817383,
        2.0139904022216797,
        2.012787103652954,
        2.008744478225708,
        2.010859966278076,
        2.0080525875091553,
        2.006829023361206,
        2.007446050643921,
        2.003390073776245,
        2.002344846725464,
        2.000593900680542,
        1.9962409734725952,
        1.9952921867370605,
        1.9938045740127563,
        1.990321159362793,
        1.9924176931381226,
        1.9908159971237183,
        1.9876328706741333,
        1.9900010824203491,
        1.9905368089675903,
        1.9870296716690063,
        1.9821205139160156,
        1.9769960641860962,
        1.9710907936096191,
        1.9738750457763672,
        1.9692524671554565,
        1.965221881866455,
        1.9633907079696655,
        1.989682674407959,
        1.9235848188400269,
        1.9147815704345703,
        1.9122471809387207,
        1.9123178720474243,
        1.9196745157241821,
        1.920088291168213,
        1.9546375274658203,
        1.961404800415039,
        1.9748727083206177,
        2.0040977001190186,
        2.0081677436828613,
        2.034224033355713,
        2.0377907752990723,
        2.0389506816864014,
        2.0395374298095703,
        2.0425405502319336,
        2.0438530445098877,
        2.0429625511169434,
        2.0444958209991455,
        2.046478509902954,
        2.0472054481506348,
        2.048236131668091,
        2.0484609603881836,
        2.0483951568603516,
        2.0489015579223633,
        2.049103260040283,
        2.048410654067993,
        2.0487020015716553,
        2.0482218265533447,
        2.0483195781707764,
        2.0487687587738037,
        2.048590898513794,
        2.0483763217926025,
        2.0482144355773926,
        2.0483405590057373,
        2.009176015853882,
        1.940564513206482,
        1.851424217224121,
        1.8201216459274292,
        1.5961309671401978,
        1.529500126838684,
        1.3832879066467285,
        1.2601039409637451,
        1.1723519563674927,
        1.0936866998672485,
        1.039086937904358,
        1.0055166482925415,
        0.9695165157318115,
        0.9577755928039551,
        0.9564694762229919,
        0.9480474591255188,
        0.894702672958374,
        0.8744984269142151,
        0.8666377067565918,
        0.8386735916137695,
        0.838068425655365,
        0.8326413035392761,
        0.81288081407547,
        0.8087432980537415,
        0.7360591888427734,
        0.738076388835907,
        0.7496263384819031,
        0.7398037314414978,
        0.7386524081230164,
        0.7234050631523132,
        0.7167611122131348,
        0.7143155932426453,
        0.7225633263587952,
        0.7246218323707581,
        0.7258850932121277,
        0.7307068705558777,
        0.7379062175750732,
        0.749198853969574,
        0.7517299056053162,
        0.7506849765777588,
        0.823951244354248,
        0.7621283531188965,
        0.9820347428321838,
        1.0422163009643555,
        1.138059377670288,
        1.1265760660171509,
        1.4804296493530273,
        1.7017065286636353,
        1.8295879364013672,
        2.0009405612945557,
        2.0659573078155518,
        2.0641558170318604,
        2.0635769367218018,
        2.0620806217193604,
        2.0599403381347656,
        2.059800386428833,
        2.0599589347839355,
        2.057384729385376,
        2.055631637573242,
        2.054703950881958,
        2.0540144443511963,
        2.0532386302948,
        2.0531036853790283,
        2.0523502826690674,
        2.0522923469543457,
        2.051177501678467,
        2.051316022872925,
        2.0499536991119385,
        2.0497493743896484,
        2.050447702407837,
        2.050236463546753,
        2.049964666366577,
        2.049856662750244,
        2.0496695041656494,
        2.049347162246704,
        2.0495240688323975,
        2.0481860637664795,
        2.0485188961029053,
        2.04807710647583,
        2.047377824783325,
        2.0479235649108887,
        2.0479037761688232,
        2.0479745864868164,
        2.0465259552001953,
        2.045973777770996,
        2.0443146228790283,
        2.042551279067993,
        2.040921211242676,
        2.035580635070801,
        2.0255677700042725,
        2.0146443843841553,
        1.995521903038025,
        1.9869633913040161,
        1.9721388816833496,
        1.9598747491836548,
        1.9474490880966187,
        1.9387224912643433,
        1.9257159233093262,
        1.901167869567871,
        1.9052801132202148,
        1.9192575216293335,
        1.9297703504562378,
        1.9443186521530151,
        1.9422521591186523,
        1.9383095502853394,
        1.95328950881958,
        1.955267071723938,
        1.961614966392517,
        1.963118076324463,
        1.9664825201034546,
        1.9687552452087402,
        1.9709562063217163,
        1.974854826927185,
        1.9768857955932617,
        1.9756053686141968,
        1.9771407842636108,
        1.9772697687149048,
        1.982508659362793,
        1.9868472814559937,
        1.9854583740234375,
        1.989199161529541,
        1.9909135103225708,
        1.9947633743286133,
        1.9950464963912964,
        1.9983361959457397,
        1.9980775117874146,
        1.9983549118041992,
        2.0004045963287354,
        2.000908136367798,
        1.9996474981307983,
        1.999921202659607,
        2.000885009765625,
        1.9994624853134155,
        2.0003554821014404,
        2.000316858291626,
        2.0011887550354004,
        2.002594232559204,
        2.0028269290924072,
        2.0024538040161133,
        2.0019116401672363,
        2.0026051998138428,
        2.001897096633911,
        2.002687692642212,
        2.003288507461548,
        2.002760887145996,
        2.002957582473755,
        2.002171516418457,
        2.002309560775757,
        2.0024516582489014,
        2.003093957901001,
        2.0026795864105225,
        2.0029590129852295,
        2.003018617630005,
        2.003939390182495,
        2.0038459300994873,
        2.0042521953582764,
        2.003336191177368,
        2.0025641918182373,
        2.001953363418579,
        2.0017030239105225,
        1.9999895095825195,
        2.0003557205200195,
        1.9979149103164673,
        1.997226595878601,
        1.9968878030776978,
        1.9955569505691528,
        1.9938615560531616,
        1.9908698797225952,
        1.9899063110351562,
        1.9878358840942383,
        1.9866281747817993,
        1.9888906478881836,
        1.986219048500061,
        1.9860130548477173,
        1.9865373373031616,
        1.987230658531189,
        1.9876503944396973,
        1.9925838708877563,
        1.9937998056411743,
        1.9943233728408813,
        1.9934180974960327,
        1.9969381093978882,
        1.9993215799331665,
        1.999253749847412,
        1.994726300239563,
        1.990701675415039,
        1.9881134033203125,
        1.9821672439575195,
        1.9770890474319458,
        1.9718209505081177,
        1.9694714546203613,
        1.965104103088379,
        1.9643608331680298,
        1.9615554809570312,
        1.957406997680664,
        1.9540151357650757,
        1.9565128087997437,
        1.9536386728286743,
        1.9535006284713745,
        1.955053687095642,
        1.9565571546554565,
        1.949675440788269,
        1.9617167711257935,
        1.9636154174804688,
        1.9744501113891602,
        1.9867440462112427,
        1.925761103630066,
        1.921445369720459,
        1.904632568359375,
        1.9161157608032227,
        1.9284738302230835,
        1.9377976655960083,
        1.945433259010315,
        1.9650883674621582,
        1.9795756340026855,
        2.0007808208465576,
        2.0112931728363037,
        2.0317306518554688,
        2.0345065593719482,
        2.033792734146118,
        2.0393848419189453,
        2.0428802967071533,
        2.0464184284210205,
        2.046602249145508,
        2.046928644180298,
        2.0470709800720215,
        2.046813726425171,
        2.047006130218506,
        2.0468554496765137,
        2.0470259189605713,
        2.046891689300537,
        2.046278238296509,
        2.046631097793579,
        2.0460028648376465,
        2.046229124069214,
        2.0462658405303955,
        2.0461556911468506,
        2.0463788509368896,
        2.0469794273376465,
        2.0467073917388916,
        2.046647071838379,
        2.0471389293670654,
        2.0471291542053223,
        2.047344446182251,
        2.0476341247558594,
        2.0473883152008057,
        2.0472731590270996,
        2.046668291091919,
        2.046572208404541,
        2.0464415550231934,
        2.0465199947357178,
        2.046142816543579,
        2.046182155609131,
        2.0460846424102783,
        2.046760082244873,
        2.0344364643096924,
        2.0158841609954834,
        1.9877262115478516,
        1.9482189416885376,
        1.891840934753418,
        1.8351138830184937,
        1.7658182382583618,
        1.6860400438308716,
        1.5884639024734497,
        1.497170329093933,
        1.3981457948684692,
        1.3067355155944824,
        1.225451111793518,
        1.152547836303711,
        1.075728178024292,
        1.012673258781433,
        0.9486616253852844,
        0.8938173651695251,
        0.8533458113670349,
        0.8121740818023682,
        0.7666992545127869,
        0.7314062118530273,
        0.6809062957763672,
        0.6163814067840576,
        0.5841506123542786,
        0.5673648715019226,
        0.5818328857421875,
        0.5936813950538635,
        0.6050845980644226,
        0.6191977262496948,
        0.6184053421020508,
        0.591850221157074,
        0.5758973956108093,
        0.5474730730056763,
        0.5273926854133606,
        0.5186651349067688,
        0.49897387623786926,
        0.48993119597435,
        0.47373661398887634,
        0.43654385209083557,
        0.39809513092041016,
        0.4459012746810913,
        0.39586424827575684,
        0.397260457277298,
        0.39503535628318787,
        0.3926885426044464,
        0.39776673913002014,
        0.3888438940048218,
        0.41515204310417175,
        0.4293248653411865,
        0.434528112411499,
        0.42945337295532227,
        0.4190404415130615,
        0.4074867069721222,
        0.39479854702949524,
        0.3906153738498688,
        0.4094001352787018,
        0.4069719612598419,
        0.4061298370361328,
        0.4053073227405548,
        0.3883266746997833,
        0.3943723142147064,
        0.3818410336971283,
        0.4015907347202301,
        0.5077771544456482,
        0.791485607624054,
        0.946845293045044,
        1.0463498830795288,
        1.2351247072219849,
        1.444869875907898,
        1.645394206047058,
        1.7742983102798462,
        1.8743621110916138,
        1.9712333679199219,
        2.033871650695801,
        2.067704200744629,
        2.06445574760437,
        2.0618789196014404,
        2.0617928504943848,
        2.059953451156616,
        2.0588414669036865,
        2.0572457313537598,
        2.0573105812072754,
        2.0555453300476074,
        2.054657459259033,
        2.052034378051758,
        2.0511081218719482,
        2.0502078533172607,
        2.0500752925872803,
        2.048940896987915,
        2.0486679077148438,
        2.0486509799957275,
        2.048283100128174,
        2.0484933853149414,
        2.0480992794036865,
        2.0483267307281494,
        2.048260450363159,
        2.047112226486206,
        2.047792434692383,
        2.0475914478302,
        2.0477793216705322,
        2.04660701751709,
        2.046759605407715,
        2.046455144882202,
        2.0467233657836914,
        2.0473668575286865,
        2.0466816425323486,
        2.0466763973236084,
        2.046551465988159,
        2.0468294620513916,
        2.046743392944336,
        2.0466463565826416,
        2.046595573425293,
        2.046283483505249,
        2.046358346939087,
        2.046616315841675,
        2.0460314750671387,
        2.0462982654571533,
        2.046436309814453,
        2.0468475818634033,
        2.0459940433502197,
        2.0458247661590576,
        2.045823097229004,
        2.0463855266571045,
        2.0461504459381104,
        2.0466158390045166,
        2.047024965286255,
        2.0462563037872314,
        2.045706272125244,
        2.0463578701019287,
        2.046649217605591,
        2.046607732772827,
        2.046276330947876,
        2.046849489212036,
        2.046586751937866,
        2.045670747756958,
        2.0456552505493164,
        2.046126127243042,
        2.046229362487793,
        2.0465943813323975,
        2.0463545322418213,
        2.0461881160736084,
        2.0455257892608643,
        2.046046257019043,
        2.04575252532959,
        2.0459835529327393,
        2.0461432933807373,
        2.0458216667175293,
        2.0458178520202637,
        2.0461549758911133,
        2.0458009243011475,
        2.04524827003479,
        2.0457658767700195,
        2.046020030975342,
        2.046128034591675,
        2.0458984375,
        2.0456395149230957,
        2.0462043285369873,
        2.0461442470550537,
        2.0458078384399414,
        2.045896291732788,
        2.0462334156036377,
        2.0460705757141113,
        2.046419143676758,
        2.0465030670166016,
        2.0470292568206787,
        2.0462682247161865,
        2.0463783740997314,
        2.0461935997009277,
        2.0464367866516113,
        2.0462186336517334,
        2.046733856201172,
        2.046431541442871,
        2.0464985370635986,
        2.046907663345337,
        2.0468270778656006,
        2.046644687652588,
        2.047407865524292,
        2.047438383102417,
        2.0461790561676025,
        2.0459353923797607,
        2.0460422039031982,
        2.0465848445892334,
        2.0465776920318604,
        2.047410249710083,
        2.0462982654571533,
        2.046454668045044,
        2.0461623668670654,
        2.0459983348846436,
        2.0464255809783936,
        2.046241283416748,
        2.046555757522583,
        2.04693341255188,
        2.046297311782837,
        2.0461909770965576,
        2.0463879108428955,
        2.0462357997894287,
        2.045793056488037,
        2.0462849140167236,
        2.0462136268615723,
        2.0460665225982666,
        2.0457191467285156,
        2.046044111251831,
        2.0465500354766846,
        2.0458433628082275,
        2.0459704399108887,
        2.046096086502075,
        2.0455267429351807,
        2.0458824634552,
        2.0455048084259033,
        2.0342226028442383,
        2.038764238357544,
        2.0404317378997803,
        2.038947343826294,
        2.037442922592163,
        2.0260229110717773,
        2.018866777420044,
        2.009974956512451,
        1.9988059997558594,
        1.987711787223816,
        1.9760812520980835,
        1.9712201356887817,
        1.9557360410690308,
        1.949011206626892,
        1.9320522546768188,
        1.921761393547058,
        1.9136673212051392,
        1.8992136716842651,
        1.9066282510757446,
        1.911847472190857,
        1.9252256155014038,
        1.930317997932434,
        1.9449996948242188,
        1.9526244401931763,
        1.9417033195495605,
        1.941610336303711,
        1.94666588306427,
        1.9516550302505493,
        1.952574372291565,
        1.952553629875183,
        1.954446792602539,
        1.9611687660217285,
        1.9649453163146973,
        1.9647403955459595,
        1.9683390855789185,
        1.9732179641723633,
        1.9739203453063965,
        1.9754558801651,
        1.9773250818252563,
        1.9800586700439453,
        1.9816545248031616,
        1.9848541021347046,
        1.9870494604110718,
        1.9875949621200562,
        1.989548683166504,
        1.992891788482666,
        1.9951502084732056,
        1.9978164434432983,
        1.9984126091003418,
        1.9981904029846191,
        1.9990715980529785,
        1.9999922513961792,
        1.9997292757034302,
        2.0010287761688232,
        2.0021331310272217,
        2.0023882389068604,
        2.0026750564575195,
        2.0033066272735596,
        2.0033042430877686,
        2.0034866333007812,
        2.0029590129852295,
        2.0030934810638428,
        2.003600835800171,
        2.0033295154571533,
        2.003068208694458,
        2.0037734508514404,
        2.0037386417388916,
        2.00478458404541,
        2.004450559616089,
        2.004943370819092,
        2.005171537399292,
        2.00447416305542,
        2.0053646564483643,
        2.005328893661499,
        2.0052974224090576,
        2.0051679611206055,
        2.0049731731414795,
        2.005005121231079,
        2.005413293838501,
        2.004324197769165,
        2.0050852298736572,
        2.004504919052124,
        2.004284143447876,
        2.0043680667877197,
        2.004850149154663,
        2.0037729740142822,
        2.004448652267456,
        2.004117012023926,
        2.0039684772491455,
        2.0041561126708984,
        2.0041236877441406,
        2.00434947013855,
        2.004046678543091,
        2.0041236877441406,
        2.003908157348633,
        2.0035462379455566,
        2.0023043155670166,
        2.0021324157714844,
        2.0011653900146484,
        2.000213861465454,
        1.9990047216415405,
        1.9976531267166138,
        1.9970407485961914,
        1.9948078393936157,
        1.9938936233520508,
        1.992627501487732,
        1.9916605949401855,
        1.990355372428894,
        1.988360047340393,
        1.987595558166504,
        1.985565185546875,
        1.9830836057662964,
        1.9783029556274414,
        1.9792801141738892,
        1.982495665550232,
        1.9823938608169556,
        1.9848947525024414,
        1.9817477464675903,
        1.9816213846206665,
        1.9848216772079468,
        1.9812593460083008,
        1.9812628030776978,
        1.979979157447815,
        1.976202368736267,
        1.978882908821106,
        1.9787098169326782,
        1.9773330688476562,
        1.9754363298416138,
        1.9739466905593872,
        1.9714070558547974,
        1.9745739698410034,
        1.968015193939209,
        1.9706292152404785,
        1.972701907157898,
        1.9618421792984009,
        1.9671357870101929,
        1.959938406944275,
        1.9595659971237183,
        1.9570807218551636,
        1.9236887693405151,
        1.9092472791671753,
        1.9180983304977417,
        1.9197731018066406,
        1.9244338274002075,
        1.9335490465164185,
        1.9388848543167114,
        1.9416522979736328,
        1.9434876441955566,
        1.952836513519287,
        1.9552226066589355,
        1.9549301862716675,
        1.9538360834121704,
        1.9526023864746094,
        1.9559417963027954,
        1.955410122871399,
        1.960768222808838,
        1.9777742624282837,
        2.000243902206421,
        2.0160250663757324,
        2.017522096633911,
        2.041944980621338,
        2.045896530151367,
        2.048388957977295,
        2.048820734024048,
        2.0488879680633545,
        2.0487329959869385,
        2.0488498210906982,
        2.0489277839660645,
        2.0488576889038086,
        2.048987865447998,
        2.048787832260132,
        2.0486745834350586,
        2.0481913089752197,
        2.0484869480133057,
        2.0487303733825684,
        2.048516035079956,
        2.048229455947876,
        2.0478508472442627,
        2.0480127334594727,
        2.0483245849609375,
        2.0480093955993652,
        2.04882550239563,
        2.048285722732544,
        2.0484254360198975,
        2.0482962131500244,
        2.047854423522949,
        2.048121452331543,
        2.0486578941345215,
        2.048417806625366,
        2.0490095615386963,
        1.9929379224777222,
        1.960556983947754,
        1.8193310499191284,
        1.728489875793457,
        1.5536760091781616,
        1.4300822019577026,
        1.290895700454712,
        1.1985799074172974,
        1.1062785387039185,
        1.0498164892196655,
        1.003429651260376,
        0.9917230010032654,
        0.993884801864624,
        0.9788758754730225,
        0.9600422382354736,
        0.9434546828269958,
        0.9254150986671448,
        0.9118106365203857,
        0.8849313855171204,
        0.8836929798126221,
        0.8360795378684998,
        0.8424108624458313,
        0.8544571995735168,
        0.8447620272636414,
        0.8322061896324158,
        0.8218516707420349,
        0.8141195178031921,
        0.8121797442436218,
        0.8135204911231995,
        0.8115591406822205,
        0.8171947598457336,
        0.8132317662239075,
        0.7827944755554199,
        0.7888551354408264,
        0.783306360244751,
        0.7699930667877197,
        0.7702096104621887,
        0.7939397692680359,
        0.8050026297569275,
        0.8360540866851807,
        0.8928198218345642,
        0.8228875994682312,
        1.0342955589294434,
        1.0892874002456665,
        1.3689757585525513,
        1.472556710243225,
        1.8496071100234985,
        1.97835111618042,
        2.0661919116973877,
        2.0642480850219727,
        2.0638253688812256,
        2.06207537651062,
        2.0598304271698,
        2.059345006942749,
        2.059314012527466,
        2.057936906814575,
        2.0562148094177246,
        2.0540997982025146,
        2.0535171031951904,
        2.0526256561279297,
        2.05199933052063,
        2.051448106765747,
        2.0512359142303467,
        2.0503783226013184,
        2.049933671951294,
        2.049687147140503,
        2.05060076713562,
        2.0501387119293213,
        2.04960560798645,
        2.0496037006378174,
        2.0494515895843506,
        2.049180030822754,
        2.0494673252105713,
        2.0494635105133057,
        2.0490331649780273,
        2.049180746078491,
        2.049058675765991,
        2.048527479171753,
        2.0483529567718506,
        2.0483925342559814,
        2.04815936088562,
        2.0484025478363037,
        2.048722267150879,
        2.0487678050994873,
        2.047961950302124,
        2.048057794570923,
        2.0479331016540527,
        2.04781436920166,
        2.0484206676483154,
        2.048219680786133,
        2.0480785369873047,
        2.0482966899871826,
        2.047898054122925,
        2.0482490062713623,
        2.0477254390716553,
        2.0475575923919678,
        2.0476937294006348,
        2.0481860637664795,
        2.0484206676483154,
        2.048210382461548,
        2.0483648777008057,
        2.047818183898926,
        2.0478739738464355,
        2.0488407611846924,
        2.0478355884552,
        2.0487587451934814,
        2.019472599029541,
        1.9890073537826538,
        1.9674878120422363,
        1.9678020477294922,
        1.9461361169815063,
        1.9449459314346313,
        1.9419118165969849,
        1.9112051725387573,
        1.8854082822799683,
        1.8771079778671265,
        1.7936099767684937,
        1.7581520080566406,
        1.7584413290023804,
        1.7421436309814453,
        1.7348686456680298,
        1.721178650856018,
        1.7258316278457642,
        1.7263498306274414,
        1.739924430847168,
        1.74966299533844,
        1.7696137428283691,
        1.785606861114502,
        1.8200621604919434,
        1.7665767669677734,
        1.791333794593811,
        1.8377758264541626,
        1.8523720502853394,
        1.8628002405166626,
        1.8774839639663696,
        1.8944584131240845,
        1.89990234375,
        1.9084844589233398,
        1.924627423286438,
        1.9318405389785767,
        1.9427410364151,
        1.9496679306030273,
        1.9538394212722778,
        1.9596576690673828,
        1.9636821746826172,
        1.9637237787246704,
        1.9665641784667969,
        1.9677594900131226,
        1.969565987586975,
        1.9713315963745117,
        1.9739197492599487,
        1.976243495941162,
        1.9783620834350586,
        1.979983925819397,
        1.9841279983520508,
        1.9878263473510742,
        1.989575743675232,
        1.9917536973953247,
        1.991398811340332,
        1.9921883344650269,
        1.993085503578186,
        1.9931365251541138,
        1.994138240814209,
        1.993806004524231,
        1.9941672086715698,
        1.9947710037231445,
        1.995303988456726,
        1.9950402975082397,
        1.995282769203186,
        1.995329737663269,
        1.9953066110610962,
        1.9939924478530884,
        1.9935482740402222,
        1.9934301376342773,
        1.9936094284057617,
        1.9934121370315552,
        1.9936327934265137,
        1.9940189123153687,
        1.9927972555160522,
        1.991876244544983,
        1.9929550886154175,
        1.9917200803756714,
        1.9912165403366089,
        1.9908466339111328,
        1.9903892278671265,
        1.9905314445495605,
        1.9903396368026733,
        1.9911761283874512,
        1.9906889200210571,
        1.9906853437423706,
        1.9900988340377808,
        1.9899905920028687,
        1.98942232131958,
        1.9889730215072632,
        1.9888590574264526,
        1.9887847900390625,
        1.9875224828720093,
        1.9865165948867798,
        1.986223816871643,
        1.9835824966430664,
        1.982621192932129,
        1.983155608177185,
        1.9855526685714722,
        1.9879082441329956,
        1.989282488822937,
        1.9887272119522095,
        1.9906364679336548,
        1.9925732612609863,
        1.9975996017456055,
        1.9976563453674316,
        1.9983729124069214,
        2.0013043880462646,
        2.0008761882781982,
        2.0000362396240234,
        2.0007617473602295,
        1.9954462051391602,
        1.992872714996338,
        1.9893293380737305,
        1.9855562448501587,
        1.9821218252182007,
        1.978243350982666,
        1.9767212867736816,
        1.974771499633789,
        1.9708032608032227,
        1.967555046081543,
        1.9677385091781616,
        1.9649434089660645,
        1.9638413190841675,
        1.960196614265442,
        1.9580401182174683,
        1.955177664756775,
        1.9522846937179565,
        1.9481557607650757,
        1.9442023038864136,
        1.939355492591858,
        1.9356833696365356,
        1.9319100379943848,
        1.9228925704956055,
        1.9213865995407104,
        1.9215258359909058,
        1.9157360792160034,
        1.9071661233901978,
        1.8944387435913086,
        1.8834036588668823,
        1.8662878274917603,
        1.8468704223632812,
        1.8359125852584839,
        1.8266782760620117,
        1.831374168395996,
        1.7881511449813843,
        1.7771539688110352,
        1.7589792013168335,
        1.70558500289917,
        1.6921625137329102,
        1.6774897575378418,
        1.6794790029525757,
        1.6872386932373047,
        1.7402629852294922,
        1.7534276247024536,
        1.7709726095199585,
        1.771661400794983,
        1.7815908193588257,
        1.7965397834777832,
        1.8169541358947754,
        1.8308225870132446,
        1.8507081270217896,
        1.8477452993392944,
        1.9358983039855957,
        2.030212879180908,
        2.0391976833343506,
        2.0431206226348877,
        2.0445048809051514,
        2.0469257831573486,
        2.0462348461151123,
        2.046584129333496,
        2.0464837551116943,
        2.046170473098755,
        2.0464136600494385,
        2.0461061000823975,
        2.046208620071411,
        2.0458180904388428,
        2.046523094177246,
        2.0055696964263916,
        2.0045440196990967,
        1.8679848909378052,
        1.8432155847549438,
        1.5984896421432495,
        1.551553726196289,
        1.3017003536224365,
        1.2885936498641968,
        1.121978521347046,
        1.0423990488052368,
        0.9664108157157898,
        0.9260581135749817,
        0.9048945307731628,
        0.8979899883270264,
        0.8924427628517151,
        0.8782287240028381,
        0.8689498901367188,
        0.8570606112480164,
        0.8425328135490417,
        0.8446505665779114,
        0.8600103259086609,
        0.8736643195152283,
        0.8497584462165833,
        0.8505857586860657,
        0.852350652217865,
        0.8468133807182312,
        0.8434603214263916,
        0.8537342548370361,
        0.850800096988678,
        0.8501594066619873,
        0.8579927086830139,
        0.8703453540802002,
        0.8729320168495178,
        0.8777506351470947,
        0.8774883151054382,
        0.8781089782714844,
        0.8821704983711243,
        0.883615255355835,
        0.8843562602996826,
        0.9029038548469543,
        0.9061949849128723,
        0.9271352887153625,
        0.9783546924591064,
        1.0485596656799316,
        1.1787036657333374,
        1.2640691995620728,
        1.4306968450546265,
        1.5336743593215942,
        1.7417691946029663,
        1.9000734090805054,
        2.049335479736328,
        2.06542706489563,
        2.060649871826172,
        2.060163974761963,
        2.058483362197876,
        2.057182788848877,
        2.0566787719726562,
        2.056375741958618,
        2.053598165512085,
        2.052764892578125,
        2.051145315170288,
        2.050994873046875,
        2.0501582622528076,
        2.0492730140686035,
        2.048177480697632,
        2.047847032546997,
        2.047046422958374,
        2.047412633895874,
        2.046523332595825,
        2.046294927597046,
        2.0467514991760254,
        2.0462989807128906,
        2.045722484588623,
        2.0451228618621826,
        2.0454862117767334,
        2.0450007915496826,
        2.0449821949005127,
        2.044735908508301,
        2.0452921390533447,
        2.045520544052124,
        2.0454413890838623,
        2.045701265335083,
        2.0452945232391357,
        2.045499086380005,
        2.0419464111328125,
        1.9939225912094116,
        1.9372235536575317,
        1.8546587228775024,
        1.787022590637207,
        1.7420395612716675,
        1.7262214422225952,
        1.745111346244812,
        1.7127981185913086,
        1.7577705383300781,
        1.7906495332717896,
        1.8032156229019165,
        1.8358553647994995,
        1.8659868240356445,
        1.8767808675765991,
        1.897660255432129,
        1.90774667263031,
        1.9214091300964355,
        1.9305839538574219,
        1.941799521446228,
        1.953730583190918,
        1.9586095809936523,
        1.9627670049667358,
        1.9688206911087036,
        1.9708552360534668,
        1.9758256673812866,
        1.9794788360595703,
        1.9823232889175415,
        1.9840883016586304,
        1.9872527122497559,
        1.9881645441055298,
        1.98878014087677,
        1.9880810976028442,
        1.9888428449630737,
        1.9885326623916626,
        1.9893379211425781,
        1.9893616437911987,
        1.988083839416504,
        1.9872163534164429,
        1.987217903137207,
        1.9878298044204712,
        1.9868003129959106,
        1.9863818883895874,
        1.9853157997131348,
        1.9850330352783203,
        1.9840055704116821,
        1.9843565225601196,
        1.9853057861328125,
        1.9862298965454102,
        1.984979271888733,
        1.984084963798523,
        1.9829730987548828,
        1.9828351736068726,
        1.9834842681884766,
        1.9842268228530884,
        1.98536217212677,
        1.9845401048660278,
        1.9853869676589966,
        1.9866342544555664,
        1.9928683042526245,
        1.9962695837020874,
        2.0000975131988525,
        1.9967020750045776,
        1.9907197952270508,
        1.98462975025177,
        1.9792283773422241,
        1.9743903875350952,
        1.97128427028656,
        1.968044400215149,
        1.9532583951950073,
        1.9436606168746948,
        1.9223626852035522,
        1.9145604372024536,
        1.9006365537643433,
        1.8911552429199219,
        1.8724907636642456,
        1.8678245544433594,
        1.8515921831130981,
        1.8419052362442017,
        1.8413861989974976,
        1.8483953475952148,
        1.828992247581482,
        1.8184725046157837,
        1.8429207801818848,
        1.87308931350708,
        1.911788821220398,
        1.926038146018982,
        1.9513864517211914,
        1.97116219997406,
        1.9953746795654297,
        2.0164053440093994,
        2.0345771312713623,
        2.048543930053711,
        1.9986661672592163,
        1.9662410020828247,
        1.633407711982727,
        1.5853052139282227,
        1.3965471982955933,
        1.3523001670837402,
        1.3193678855895996,
        1.300514817237854,
        1.2263139486312866,
        1.2099837064743042,
        1.1691991090774536,
        1.165851354598999,
        1.1335774660110474,
        1.132218599319458,
        1.1296800374984741,
        1.1270763874053955,
        1.1286596059799194,
        1.1277320384979248,
        1.1189359426498413,
        1.123252272605896,
        1.1266881227493286,
        1.1329127550125122,
        1.1473456621170044,
        1.2013078927993774,
        1.3738566637039185,
        1.4370851516723633,
        1.8437947034835815,
        1.9765437841415405,
        2.059962511062622,
        2.0554211139678955,
        2.0531036853790283,
        2.0508785247802734,
        2.0506863594055176,
        2.0493226051330566,
        2.0501086711883545,
        2.049283027648926,
        2.0495893955230713,
        2.0497899055480957,
        2.0487473011016846,
        2.0492374897003174,
        2.0487818717956543,
        2.044100284576416,
        2.043212890625,
        1.990139365196228,
        1.9565658569335938,
        1.925406813621521,
        1.8750747442245483,
        1.8534842729568481,
        1.820149302482605,
        1.8404232263565063,
        1.8369213342666626,
        1.8603018522262573,
        1.855788230895996,
        1.8659110069274902,
        1.8738245964050293,
        1.8754891157150269,
        1.886710524559021,
        1.8949156999588013,
        1.920268177986145,
        1.929618239402771,
        1.9446426630020142,
        1.957680583000183,
        1.9622451066970825,
        1.9666714668273926,
        1.9753732681274414,
        1.9808915853500366,
        1.9854941368103027,
        1.9914774894714355,
        1.9941954612731934,
        1.994099497795105,
        1.993128776550293,
        1.9930344820022583,
        1.9949398040771484,
        1.9961978197097778,
        1.9953371286392212,
        1.9931052923202515,
        1.9944744110107422,
        1.9919042587280273,
        1.993536353111267,
        1.99307119846344,
        1.9927676916122437,
        1.9914027452468872,
        1.9903496503829956,
        1.9911432266235352,
        1.9898284673690796,
        1.9897347688674927,
        1.9906834363937378,
        1.9880523681640625,
        1.9892358779907227,
        1.9917904138565063,
        1.9847111701965332,
        1.989272952079773,
        1.9892982244491577,
        1.9893800020217896,
        1.9854127168655396,
        1.9790736436843872,
        1.9717535972595215,
        1.9595756530761719,
        1.9563236236572266,
        1.9529997110366821,
        1.9396284818649292,
        1.9364228248596191,
        1.9257386922836304,
        1.9078887701034546,
        1.9031590223312378,
        1.9012385606765747,
        1.883318543434143,
        1.8937095403671265,
        1.8732818365097046,
        1.850930094718933,
        1.8539122343063354,
        1.859204888343811,
        1.85604727268219,
        1.8307312726974487,
        1.8443762063980103,
        1.8953782320022583,
        1.9247380495071411,
        1.949456810951233,
        1.9770318269729614,
        1.9942350387573242,
        2.002058744430542,
        2.0101735591888428,
        2.025954484939575,
        2.045915365219116,
        2.045701503753662,
        2.0453553199768066,
        2.0453174114227295,
        1.952719807624817,
        1.807350516319275,
        1.7946094274520874,
        1.4188257455825806,
        1.3731698989868164,
        1.266073226928711,
        1.2312060594558716,
        1.2233370542526245,
        1.2219033241271973,
        1.214896321296692,
        1.2121635675430298,
        1.1995388269424438,
        1.1806505918502808,
        1.1805003881454468,
        1.1697324514389038,
        1.1670855283737183,
        1.1714394092559814,
        1.1755155324935913,
        1.1632004976272583,
        1.1499212980270386,
        1.1321061849594116,
        0.9971916675567627,
        0.9634416699409485,
        0.9070860743522644,
        0.8475642204284668,
        0.8336824774742126,
        0.8339646458625793,
        0.8299900889396667,
        0.8319665789604187,
        0.8596096038818359,
        0.885201632976532,
        0.9357433319091797,
        0.9710667729377747,
        1.472549557685852,
        1.6391853094100952,
        2.0474188327789307,
        2.0564520359039307,
        2.0502660274505615,
        2.0496084690093994,
        2.04841685295105,
        2.047459602355957,
        2.0475239753723145,
        2.046278238296509,
        2.0460941791534424,
        2.046576738357544,
        2.0459060668945312,
        2.045933723449707,
        2.0459177494049072,
        2.0457990169525146,
        2.0456178188323975,
        2.0457751750946045,
        2.0460193157196045,
        2.034311294555664,
        2.031700849533081,
        1.9751262664794922,
        1.9545434713363647,
        1.8973207473754883,
        1.79463529586792,
        1.7909399271011353,
        1.7577930688858032,
        1.7752591371536255,
        1.7713232040405273,
        1.7962614297866821,
        1.7973198890686035,
        1.8041290044784546,
        1.8362928628921509,
        1.8632440567016602,
        1.8783760070800781,
        1.8979312181472778,
        1.923310399055481,
        1.9304847717285156,
        1.934972882270813,
        1.9382919073104858,
        1.9500797986984253,
        1.9583536386489868,
        1.9593887329101562,
        1.9610282182693481,
        1.964288592338562,
        1.9652117490768433,
        1.9664467573165894,
        1.965302586555481,
        1.9663853645324707,
        1.9688218832015991,
        1.969807744026184,
        1.9691680669784546,
        1.9700641632080078,
        1.9691940546035767,
        1.968901515007019,
        1.96970796585083,
        1.9711450338363647,
        1.9694604873657227,
        1.9687105417251587,
        1.968532919883728,
        1.9681020975112915,
        1.9677332639694214,
        1.9674450159072876,
        1.9668864011764526,
        1.9659795761108398,
        1.966060996055603,
        1.9652985334396362,
        1.9648772478103638,
        1.9634145498275757,
        1.9645644426345825,
        1.9601713418960571,
        1.9583948850631714,
        1.9607820510864258,
        1.96819269657135,
        1.9758697748184204,
        1.982423186302185,
        1.9814839363098145,
        1.9781509637832642,
        1.9726923704147339,
        1.968138575553894,
        1.965192437171936,
        1.964301586151123,
        1.963922381401062,
        1.9623414278030396,
        1.9614391326904297,
        1.967084527015686,
        1.967488408088684,
        1.959582805633545,
        1.9637547731399536,
        1.9682079553604126,
        1.9704179763793945,
        1.9588762521743774,
        1.9343005418777466,
        1.904471516609192,
        1.9051491022109985,
        1.953010082244873,
        1.9743889570236206,
        1.9745960235595703,
        2.0370185375213623,
        2.0445327758789062,
        2.048354148864746,
        2.0488839149475098,
        2.0489554405212402,
        2.0495717525482178,
        1.9983810186386108,
        1.77711820602417,
        1.6194716691970825,
        1.6272263526916504,
        1.381510853767395,
        1.3531748056411743,
        1.2779103517532349,
        1.252459168434143,
        1.1857229471206665,
        1.1660047769546509,
        1.1274288892745972,
        1.119955062866211,
        1.1023907661437988,
        1.074864149093628,
        1.015992283821106,
        0.9558617472648621,
        0.9029967188835144,
        0.8786861300468445,
        0.8553204536437988,
        0.8572438359260559,
        0.8505333065986633,
        0.8363327980041504,
        0.8113922476768494,
        0.8088666796684265,
        0.777195155620575,
        0.7599978446960449,
        0.7649581432342529,
        0.7717142105102539,
        0.7832035422325134,
        0.7937509417533875,
        0.8454412817955017,
        1.0067270994186401,
        1.1918474435806274,
        1.2296417951583862,
        1.3822447061538696,
        1.4249448776245117,
        1.6580523252487183,
        1.9567493200302124,
        2.056286096572876,
        2.0537877082824707,
        2.0529487133026123,
        2.051490545272827,
        2.050828695297241,
        2.0502593517303467,
        2.050170421600342,
        2.050105571746826,
        2.0502312183380127,
        2.050154447555542,
        2.049443006515503,
        2.048891305923462,
        2.048855781555176,
        2.049797773361206,
        2.049064874649048,
        2.0491204261779785,
        2.048346519470215,
        2.048191785812378,
        2.046762704849243,
        2.046693801879883,
        2.0477449893951416,
        2.0453951358795166,
        2.0481255054473877,
        2.0476481914520264,
        2.046799898147583,
        2.032346487045288,
        1.974450945854187,
        1.9638973474502563,
        1.9162389039993286,
        1.9237548112869263,
        1.9322686195373535,
        1.868180751800537,
        1.939619541168213,
        1.9405239820480347,
        1.9515868425369263,
        1.9464861154556274,
        1.9511059522628784,
        1.9652186632156372,
        1.9623035192489624,
        1.9682883024215698,
        1.9727678298950195,
        1.9760266542434692,
        1.976070761680603,
        1.9789272546768188,
        1.9795559644699097,
        1.9803277254104614,
        1.9818916320800781,
        1.9803647994995117,
        1.9794541597366333,
        1.9780031442642212,
        1.9785529375076294,
        1.9787567853927612,
        1.9789042472839355,
        1.978070855140686,
        1.9783209562301636,
        1.979856014251709,
        1.9771581888198853,
        1.9748001098632812,
        1.9736279249191284,
        1.9694228172302246,
        1.9699212312698364,
        1.9675766229629517,
        1.9679371118545532,
        1.9725456237792969,
        1.9754724502563477,
        1.9840744733810425,
        1.983233094215393,
        1.9799108505249023,
        1.9740060567855835,
        1.965226173400879,
        1.9648691415786743,
        1.9607963562011719,
        1.960318684577942,
        1.9677971601486206,
        1.970123291015625,
        1.970663070678711,
        1.968297004699707,
        1.9597023725509644,
        1.9740347862243652,
        1.9642950296401978,
        1.9335722923278809,
        1.9247602224349976,
        1.9026336669921875,
        1.9437241554260254,
        1.9450961351394653,
        1.9756108522415161,
        2.033193349838257,
        2.040602207183838,
        2.0431599617004395,
        2.046196699142456,
        2.0231449604034424,
        1.9856410026550293,
        1.5570610761642456,
        1.5892468690872192,
        1.1926934719085693,
        1.0966415405273438,
        1.014927864074707,
        0.9997655749320984,
        0.9369969964027405,
        0.9177362322807312,
        0.8876511454582214,
        0.8523451685905457,
        0.8382242321968079,
        0.8354087471961975,
        0.8324488997459412,
        0.8332662582397461,
        0.8266584873199463,
        0.8370330929756165,
        0.7913873791694641,
        0.7220768928527832,
        0.6105649471282959,
        0.5864124894142151,
        0.5254219174385071,
        0.5178602933883667,
        0.4941457211971283,
        0.5072789788246155,
        0.5186010599136353,
        0.5241901278495789,
        0.5475826859474182,
        0.6073946356773376,
        0.7159793376922607,
        0.7865723967552185,
        0.8182840943336487,
        0.8181375861167908,
        0.827315628528595,
        0.8533880710601807,
        0.8733885884284973,
        0.9539383053779602,
        1.4699411392211914,
        1.647987961769104,
        2.053873300552368,
        2.056168794631958,
        2.05194354057312,
        2.0500905513763428,
        2.0487639904022217,
        2.0482213497161865,
        2.0475504398345947,
        2.047377347946167,
        2.046956777572632,
        2.047046661376953,
        2.0477099418640137,
        2.0475735664367676,
        2.047426700592041,
        2.0470335483551025,
        2.046665668487549,
        2.0473618507385254,
        2.046694755554199,
        2.0462987422943115,
        2.0458524227142334,
        2.046024799346924,
        2.0456511974334717,
        2.0459399223327637,
        2.045341730117798,
        2.0456690788269043,
        2.0460731983184814,
        2.0453147888183594,
        2.0428760051727295,
        2.0290579795837402,
        2.0270564556121826,
        1.9972752332687378,
        1.986807942390442,
        1.9264249801635742,
        1.9269031286239624,
        1.9002496004104614,
        1.9217406511306763,
        1.8904558420181274,
        1.887711524963379,
        1.936130166053772,
        1.9449347257614136,
        1.9489022493362427,
        1.9497199058532715,
        1.9499722719192505,
        1.94659423828125,
        1.9495177268981934,
        1.9550796747207642,
        1.9584394693374634,
        1.959650993347168,
        1.9611729383468628,
        1.966579794883728,
        1.971023678779602,
        1.9714142084121704,
        1.9752525091171265,
        1.9795385599136353,
        1.9812525510787964,
        1.9830737113952637,
        1.9845510721206665,
        1.9843217134475708,
        1.9842764139175415,
        1.98453950881958,
        1.9857240915298462,
        1.9861177206039429,
        1.9855915307998657,
        1.9859241247177124,
        1.9856740236282349,
        1.9856208562850952,
        1.9850826263427734,
        1.9851840734481812,
        1.9855499267578125,
        1.9838190078735352,
        1.9802732467651367,
        1.9789406061172485,
        1.9757503271102905,
        1.97398042678833,
        1.973009705543518,
        1.9706578254699707,
        1.9748092889785767,
        1.9788845777511597,
        1.9776506423950195,
        1.977378487586975,
        1.9745969772338867,
        1.9737979173660278,
        1.9684268236160278,
        1.9525699615478516,
        1.9464750289916992,
        1.932944416999817,
        1.9136673212051392,
        1.9092429876327515,
        1.8954304456710815,
        1.8753666877746582,
        1.8766803741455078,
        1.864068865776062,
        1.845594048500061,
        1.8546075820922852,
        1.8380650281906128,
        1.8007649183273315,
        1.8344398736953735,
        1.8542317152023315,
        1.8709410429000854,
        1.9057363271713257,
        1.9323755502700806,
        1.9680835008621216,
        1.9838281869888306,
        2.0022873878479004,
        2.034001111984253,
        2.0455026626586914,
        2.050177812576294,
        2.0422868728637695,
        2.0382769107818604,
        1.70211923122406,
        1.6654614210128784,
        1.1518851518630981,
        1.1236063241958618,
        0.8672628998756409,
        0.8883885741233826,
        0.8625990748405457,
        0.8108769059181213,
        0.7850236892700195,
        0.7627423405647278,
        0.7605149149894714,
        0.7501274943351746,
        0.7176777720451355,
        0.7100114822387695,
        0.7019942402839661,
        0.7011225819587708,
        0.6976496577262878,
        0.6933333277702332,
        0.6921656131744385,
        0.6912873387336731,
        0.7013194561004639,
        0.7359172701835632,
        0.843231201171875,
        0.9664279818534851,
        1.5056499242782593,
        1.828222393989563,
        2.0580694675445557,
        2.0610101222991943,
        2.0533924102783203,
        2.051848888397217,
        2.0521275997161865,
        2.0516834259033203,
        2.0512640476226807,
        2.050520181655884,
        2.0499584674835205,
        2.050286054611206,
        2.050020217895508,
        2.038313150405884,
        2.011690855026245,
        1.9301775693893433,
        1.873923420906067,
        1.8213953971862793,
        1.7973288297653198,
        1.77567720413208,
        1.7529296875,
        1.7790101766586304,
        1.7870488166809082,
        1.8059687614440918,
        1.8102412223815918,
        1.8115357160568237,
        1.822618842124939,
        1.8317433595657349,
        1.8597221374511719,
        1.869672417640686,
        1.8897579908370972,
        1.9033607244491577,
        1.9259427785873413,
        1.9372202157974243,
        1.9455180168151855,
        1.9437594413757324,
        1.9509450197219849,
        1.9559463262557983,
        1.9611250162124634,
        1.9642094373703003,
        1.9704952239990234,
        1.9743443727493286,
        1.9775352478027344,
        1.9773708581924438,
        1.9788867235183716,
        1.982953667640686,
        1.9838085174560547,
        1.9844850301742554,
        1.985673427581787,
        1.986170768737793,
        1.985579490661621,
        1.9861626625061035,
        1.986681342124939,
        1.9874783754348755,
        1.9886608123779297,
        1.9901881217956543,
        1.990876317024231,
        1.9905582666397095,
        1.990742802619934,
        1.9911106824874878,
        1.9910588264465332,
        1.9909189939498901,
        1.9905176162719727,
        1.989193081855774,
        1.9883427619934082,
        1.9856797456741333,
        1.9832898378372192,
        1.978718638420105,
        1.9771732091903687,
        1.9759806394577026,
        1.9718419313430786,
        1.9731634855270386,
        1.9624056816101074,
        1.9638193845748901,
        1.9721976518630981,
        1.9725900888442993,
        1.9744564294815063,
        1.971171498298645,
        1.9604429006576538,
        1.9507036209106445,
        1.9429892301559448,
        1.9368529319763184,
        1.933626651763916,
        1.9306358098983765,
        1.9194926023483276,
        1.91120445728302,
        1.9007126092910767,
        1.893792748451233,
        1.8791087865829468,
        1.8846043348312378,
        1.8753337860107422,
        1.8772672414779663,
        1.8512306213378906,
        1.8479620218276978,
        1.8439255952835083,
        1.83114755153656,
        1.8510169982910156,
        1.8254493474960327,
        1.8417677879333496,
        1.856462836265564,
        1.9089871644973755,
        1.944823145866394,
        1.9689035415649414,
        2.0027034282684326,
        2.011807441711426,
        2.0387353897094727,
        2.046501398086548,
        2.0460309982299805,
        2.045830011367798,
        2.0458669662475586,
        2.044914722442627,
        2.0323827266693115,
        1.702337622642517,
        1.6805590391159058,
        1.1520835161209106,
        1.125905156135559,
        0.8377348780632019,
        0.8288207054138184,
        0.7781564593315125,
        0.7731730937957764,
        0.8067149519920349,
        0.7752494812011719,
        0.8777282238006592,
        0.8677709102630615,
        0.8570653796195984,
        0.7888126373291016,
        0.6360342502593994,
        0.597882091999054,
        0.5652167201042175,
        0.5551770329475403,
        0.5315391421318054,
        0.5411397814750671,
        0.576019823551178,
        0.6091886162757874,
        0.7399959564208984,
        0.8295748233795166,
        1.0403321981430054,
        1.0480366945266724,
        1.1282771825790405,
        1.1714481115341187,
        1.3859623670578003,
        1.584755539894104,
        1.9815760850906372,
        2.0346333980560303,
        2.0510900020599365,
        2.0501043796539307,
        2.0492563247680664,
        2.0487232208251953,
        2.048452377319336,
        2.0481128692626953,
        2.0476014614105225,
        2.047715187072754,
        2.0476338863372803,
        2.0161430835723877,
        1.9846211671829224,
        1.9257081747055054,
        1.875073790550232,
        1.8087869882583618,
        1.7414828538894653,
        1.7523528337478638,
        1.7549747228622437,
        1.7705421447753906,
        1.8028939962387085,
        1.7881501913070679,
        1.801980972290039,
        1.8056840896606445,
        1.8265067338943481,
        1.8379334211349487,
        1.8581442832946777,
        1.8783985376358032,
        1.9088577032089233,
        1.9221230745315552,
        1.9423332214355469,
        1.9577363729476929,
        1.9644790887832642,
        1.9705222845077515,
        1.975390911102295,
        1.975638747215271,
        1.980784296989441,
        1.9878863096237183,
        1.987406849861145,
        1.9894299507141113,
        1.9894214868545532,
        1.9918657541275024,
        1.9936823844909668,
        1.994503378868103,
        1.9976674318313599,
        1.9996246099472046,
        1.9998732805252075,
        2.0016586780548096,
        2.0059826374053955,
        2.006342649459839,
        2.00685715675354,
        2.0071158409118652,
        2.005929946899414,
        2.0052292346954346,
        2.0069632530212402,
        2.006392478942871,
        2.0054569244384766,
        2.0058186054229736,
        2.006208896636963,
        2.0076053142547607,
        2.0071146488189697,
        2.0060064792633057,
        2.0061254501342773,
        2.006218194961548,
        2.005082845687866,
        2.0052030086517334,
        2.006699800491333,
        2.0075676441192627,
        2.0079145431518555,
        2.007383108139038,
        2.0060741901397705,
        2.0058071613311768,
        2.006505250930786,
        2.006014108657837,
        2.00683331489563,
        2.005908489227295,
        2.006800889968872,
        2.004836320877075,
        2.0056557655334473,
        2.0055344104766846,
        2.0057570934295654,
        2.005746841430664,
        2.0074315071105957,
        2.006974458694458,
        2.006911516189575,
        2.006377935409546,
        2.006422758102417,
        2.007291555404663,
        2.0075466632843018,
        2.0072057247161865,
        2.0071725845336914,
        2.006399393081665,
        2.0057408809661865,
        2.0057146549224854,
        2.005364418029785,
        2.005648612976074,
        2.005615472793579,
        2.0059258937835693,
        2.0056188106536865,
        2.0010995864868164,
        2.0028536319732666,
        2.0033340454101562,
        2.001722574234009,
        2.002009630203247,
        2.0021886825561523,
        2.0019023418426514,
        2.0014724731445312,
        2.006389617919922,
        2.0082106590270996,
        2.008514165878296,
        2.0104987621307373,
        2.0068085193634033,
        2.0045385360717773,
        2.0025715827941895,
        1.9996269941329956,
        1.9963663816452026,
        1.9896665811538696,
        1.9867949485778809,
        1.9816051721572876,
        1.9766343832015991,
        1.9662905931472778,
        1.9572433233261108,
        1.9453033208847046,
        1.937178611755371,
        1.9321776628494263,
        1.9152770042419434,
        1.893442988395691,
        1.8621972799301147,
        1.8339511156082153,
        1.7959128618240356,
        1.7925668954849243,
        1.751782774925232,
        1.751469612121582,
        1.802815318107605,
        1.8116792440414429,
        1.8196791410446167,
        1.8124014139175415,
        1.921830654144287,
        2.030841588973999,
        2.043764352798462,
        2.0511703491210938,
        2.050297737121582,
        2.0448663234710693,
        2.0473525524139404,
        1.989932656288147,
        1.972598910331726,
        1.7206615209579468,
        1.6967058181762695,
        1.4590574502944946,
        1.4609838724136353,
        1.2087163925170898,
        1.1150625944137573,
        1.0456852912902832,
        1.012510895729065,
        0.8599424958229065,
        0.8048235774040222,
        0.7378106117248535,
        0.702934980392456,
        0.5888332724571228,
        0.5541278123855591,
        0.5140768885612488,
        0.5197080373764038,
        0.5197989344596863,
        0.5382695198059082,
        0.5693862438201904,
        0.5824634432792664,
        0.6867706775665283,
        0.8306716084480286,
        1.0995407104492188,
        1.1600011587142944,
        1.3655872344970703,
        1.3852554559707642,
        1.6226919889450073,
        1.8020437955856323,
        2.0189056396484375,
        2.051340341567993,
        2.0535635948181152,
        2.0519092082977295,
        2.051734447479248,
        2.051757574081421,
        2.051079511642456,
        2.050107955932617,
        2.0504794120788574,
        2.049661874771118,
        2.0497148036956787,
        2.0487797260284424,
        2.04880690574646,
        2.0489940643310547,
        2.0495545864105225,
        2.0490529537200928,
        2.045358657836914,
        2.047131299972534,
        2.010521173477173,
        1.947614312171936,
        1.903824806213379,
        1.8349348306655884,
        1.729239583015442,
        1.7171176671981812,
        1.7311829328536987,
        1.7143406867980957,
        1.7636299133300781,
        1.767386794090271,
        1.7882404327392578,
        1.8435906171798706,
        1.862038254737854,
        1.8779927492141724,
        1.885198950767517,
        1.8900971412658691,
        1.9070299863815308,
        1.9083229303359985,
        1.9081717729568481,
        1.910662055015564,
        1.9014081954956055,
        1.910839557647705,
        1.9172567129135132,
        1.9211517572402954,
        1.9252315759658813,
        1.9297709465026855,
        1.9330495595932007,
        1.9354206323623657,
        1.934608817100525,
        1.9340144395828247,
        1.9331951141357422,
        1.931221842765808,
        1.928848385810852,
        1.926904559135437,
        1.9252533912658691,
        1.9253063201904297,
        1.9259109497070312,
        1.9275360107421875,
        1.9266504049301147,
        1.9257704019546509,
        1.9243583679199219,
        1.9259730577468872,
        1.9307384490966797,
        1.9284650087356567,
        1.9390273094177246,
        1.9545994997024536,
        1.9604134559631348,
        1.9583005905151367,
        1.9523738622665405,
        1.9423632621765137,
        1.9291828870773315,
        1.9236341714859009,
        1.921584963798523,
        1.9199470281600952,
        1.9158180952072144,
        1.906454086303711,
        1.8965414762496948,
        1.8870826959609985,
        1.880027413368225,
        1.8614940643310547,
        1.8216251134872437,
        1.7836322784423828,
        1.7731494903564453,
        1.7750372886657715,
        1.7569440603256226,
        1.7128711938858032,
        1.7073907852172852,
        1.7194253206253052,
        1.7618783712387085,
        1.794679045677185,
        1.8814362287521362,
        1.9731169939041138,
        2.0263853073120117,
        2.0249669551849365,
        2.0043582916259766,
        1.9103418588638306,
        1.763821005821228,
        1.4302358627319336,
        1.1845883131027222,
        0.9971805214881897,
        0.8639262318611145,
        0.8609640598297119,
        0.8502404093742371,
        0.7969072461128235,
        0.7266786098480225,
        0.6845383644104004,
        0.6370375156402588,
        0.6229493021965027,
        0.4495587646961212,
        0.32870134711265564,
        0.2599671185016632,
        0.2456415295600891,
        0.2506314516067505,
        0.24061155319213867,
        0.23502057790756226,
        0.24200843274593353,
        0.25529858469963074,
        0.304050475358963,
        0.42506107687950134,
        0.5296621918678284,
        0.5734805464744568,
        0.6018862724304199,
        0.5550528764724731,
        0.7819955348968506,
        1.0269266366958618,
        1.345556616783142,
        1.7839785814285278,
        1.9687925577163696,
        2.052403688430786,
        2.0467793941497803,
        2.0455777645111084,
        2.044863224029541,
        2.04408860206604,
        2.0440118312835693,
        2.0431385040283203,
        2.0421688556671143,
        2.0431621074676514,
        2.041966199874878,
        2.042287588119507,
        2.041947364807129,
        2.041550397872925,
        2.0418145656585693,
        2.0417861938476562,
        2.0413191318511963,
        2.041184663772583,
        2.0418050289154053,
        2.0408759117126465,
        2.0417957305908203,
        2.0415022373199463,
        2.041024923324585,
        2.0418293476104736,
        2.0282704830169678,
        1.9996720552444458,
        1.9132851362228394,
        1.8395156860351562,
        1.804344654083252,
        1.7350622415542603,
        1.738777756690979,
        1.7282062768936157,
        1.7476531267166138,
        1.7531481981277466,
        1.776898741722107,
        1.8258107900619507,
        1.8525209426879883,
        1.8704830408096313,
        1.8889250755310059,
        1.9012174606323242,
        1.915034294128418,
        1.9186924695968628,
        1.92123281955719,
        1.9306446313858032,
        1.9400831460952759,
        1.940351963043213,
        1.9368528127670288,
        1.9452699422836304,
        1.949793815612793,
        1.952360987663269,
        1.9538207054138184,
        1.958286166191101,
        1.9605222940444946,
        1.9621983766555786,
        1.962947964668274,
        1.9623619318008423,
        1.9630128145217896,
        1.961549162864685,
        1.9632176160812378,
        1.9669674634933472,
        1.9697513580322266,
        1.9700511693954468,
        1.9714168310165405,
        1.9704304933547974,
        1.971154808998108,
        1.9715617895126343,
        1.9710947275161743,
        1.9697874784469604,
        1.9677070379257202,
        1.9652689695358276,
        1.9657559394836426,
        1.9612503051757812,
        1.9610543251037598,
        1.9600638151168823,
        1.961961269378662,
        1.9733891487121582,
        1.9752718210220337,
        1.9717925786972046,
        1.9728926420211792,
        1.9737800359725952,
        1.9749811887741089,
        1.9778236150741577,
        1.9831600189208984,
        1.979346752166748,
        1.9751378297805786,
        1.972519040107727,
        1.972784161567688,
        1.9711360931396484,
        1.9567457437515259,
        1.9496545791625977,
        1.9413617849349976,
        1.9382438659667969,
        1.9289051294326782,
        1.9119828939437866,
        1.9002795219421387,
        1.9020789861679077,
        1.8957061767578125,
        1.9025548696517944,
        1.901713490486145,
        1.910061001777649,
        1.8958176374435425,
        1.9026856422424316,
        1.91644287109375,
        1.933881402015686,
        1.9437450170516968,
        1.9554028511047363,
        1.962826132774353,
        1.9950069189071655,
        2.044020414352417,
        2.0496985912323,
        2.049246311187744,
        2.0493221282958984,
        2.0497853755950928,
        2.0492162704467773,
        2.0498733520507812,
        2.049341917037964,
        2.0496509075164795,
        2.0493106842041016,
        2.0399129390716553,
        1.9882885217666626,
        1.787764072418213,
        1.593307375907898,
        1.2930668592453003,
        1.1567916870117188,
        1.0499279499053955,
        0.9919399619102478,
        0.974051296710968,
        0.9796466827392578,
        0.9667717814445496,
        0.9634447693824768,
        0.948148787021637,
        0.9036293029785156,
        0.8540186882019043,
        0.7737061381340027,
        0.7470546364784241,
        0.7229532599449158,
        0.6905755996704102,
        0.6402573585510254,
        0.6122397780418396,
        0.5464633107185364,
        0.5149044394493103,
        0.4545259475708008,
        0.32861804962158203,
        0.3173987567424774,
        0.2584719955921173,
        0.27942824363708496,
        0.31880706548690796,
        0.40154027938842773,
        0.4941999018192291,
        0.7939249873161316,
        1.2604202032089233,
        1.5021568536758423,
        1.846305012702942,
        1.9606693983078003,
        2.0291483402252197,
        2.040799856185913,
        2.052966594696045,
        2.0519111156463623,
        2.0513908863067627,
        2.0506808757781982,
        2.0503056049346924,
        2.0500452518463135,
        2.0496325492858887,
        2.049159288406372,
        2.049511194229126,
        2.0489513874053955,
        2.0484542846679688,
        2.0497612953186035,
        2.0493004322052,
        2.0485098361968994,
        2.048630475997925,
        2.0482850074768066,
        2.048379898071289,
        2.0487325191497803,
        2.0490951538085938,
        2.0489492416381836,
        2.0493569374084473,
        2.048746347427368,
        2.048877000808716,
        2.0488293170928955,
        2.0485551357269287,
        2.048866033554077,
        2.044909715652466,
        2.013727903366089,
        1.734579086303711,
        1.4172381162643433,
        1.1765084266662598,
        1.0772329568862915,
        0.9306683540344238,
        0.7915636897087097,
        0.7534181475639343,
        0.7374424934387207,
        0.7277617454528809,
        0.6852738857269287,
        0.6412621140480042,
        0.6131288409233093,
        0.5609913468360901,
        0.5417779088020325,
        0.48515474796295166,
        0.45016050338745117,
        0.4494653046131134,
        0.37309375405311584,
        0.3578183352947235,
        0.34513381123542786,
        0.34026846289634705,
        0.37669530510902405,
        0.3985113799571991,
        0.4140971004962921,
        0.4352757930755615,
        0.3998154103755951,
        0.467109352350235,
        0.5076399445533752,
        0.676703691482544,
        0.9071623682975769,
        1.0689958333969116,
        1.3163403272628784,
        1.4286245107650757,
        1.512019157409668,
        1.5518862009048462,
        1.5770411491394043,
        1.6357442140579224,
        1.6716585159301758,
        1.8233098983764648,
        1.9411016702651978,
        1.9727615118026733,
        2.025782585144043,
        2.0436832904815674,
        2.036848783493042,
        2.0122299194335938,
        2.0206925868988037,
        1.8798236846923828,
        1.6862670183181763,
        1.4618295431137085,
        1.345664143562317,
        1.2717450857162476,
        1.2291309833526611,
        1.2058491706848145,
        1.199951171875,
        1.2002907991409302,
        1.1977739334106445,
        1.196578860282898,
        1.1933205127716064,
        1.1870828866958618,
        1.1778112649917603,
        1.1712496280670166,
        1.16050124168396,
        1.1479023694992065,
        1.1357704401016235,
        1.1209274530410767,
        1.1121933460235596,
        1.1001815795898438,
        1.0865784883499146,
        1.0731431245803833,
        1.0605617761611938,
        1.0448671579360962,
        1.0347687005996704,
        1.020125389099121,
        1.0062111616134644,
        0.9911050796508789,
        0.977104127407074,
        0.9608516693115234,
        0.9466357231140137,
        0.9319252967834473,
        0.917111873626709,
        0.9002949595451355,
        0.8882256150245667,
        0.8669092655181885,
        0.8525050282478333,
        0.8425944447517395,
        0.8353109359741211,
        0.8241704106330872,
        0.817999541759491,
        0.8130180239677429,
        0.8087668418884277,
        0.8048164248466492,
        0.8004675507545471,
        0.7965076565742493,
        0.7927085757255554,
        0.7892139554023743,
        0.7858002781867981,
        0.7829914093017578,
        0.7793572545051575,
        0.775669276714325,
        0.7725688815116882,
        0.7694174647331238,
        0.7670117020606995,
        0.7649737000465393,
        0.7640829086303711,
        0.7622901797294617,
        0.760607898235321,
        0.7581468224525452,
        0.7548245787620544,
        0.7506027817726135,
        0.7466638088226318,
        0.7403224110603333,
        0.7313283085823059,
        0.721259355545044,
        0.712158739566803,
        0.7009784579277039,
        0.6891478896141052,
        0.6732749938964844,
        0.6558393836021423,
        0.6278370022773743,
        0.5964214205741882,
        0.5628993511199951,
        0.5301916003227234,
        0.49350643157958984,
        0.4216998815536499,
        0.3190329372882843,
        0.24676579236984253,
        0.2160838395357132,
        0.23571734130382538,
        0.3624234199523926,
        0.4557304084300995,
        0.5608139038085938,
        0.6837592124938965,
        0.796305239200592,
        0.8629835247993469,
        1.0941208600997925,
        1.2693852186203003,
        1.398278832435608,
        1.5153512954711914,
        1.7002043724060059,
        1.8533388376235962,
        1.9315571784973145,
        2.0599896907806396,
        2.0670106410980225,
        2.0663516521453857,
        2.0648300647735596,
        2.0645902156829834,
        2.0631814002990723,
        2.0631542205810547,
        2.0615122318267822,
        2.0608763694763184,
        2.0609166622161865,
        2.0594141483306885,
        2.0585243701934814,
        2.0575859546661377,
        2.0553181171417236,
        2.0551369190216064,
        2.0551156997680664,
        2.054511785507202,
        2.0528626441955566,
        2.0510995388031006,
        2.049673557281494,
        2.0482473373413086,
        2.047386884689331,
        2.045581817626953,
        2.0449087619781494,
        2.0425758361816406,
        2.04181170463562,
        2.0401344299316406,
        2.0389230251312256,
        2.038116931915283,
        2.0379464626312256,
        2.038285970687866,
        2.0378572940826416,
        2.037811040878296,
        2.037925958633423,
        2.0377070903778076,
        2.0379223823547363,
        2.0376522541046143,
        2.0375406742095947,
        2.0378453731536865,
        2.0383222103118896,
        2.0380563735961914,
        2.038120985031128,
        2.037956714630127,
        2.0376925468444824,
        2.038386821746826,
        2.038571357727051,
        2.038342237472534,
        2.038469076156616,
        2.0388309955596924,
        2.0383477210998535,
        2.038184404373169,
        2.038276433944702,
        2.0385639667510986,
        2.0386900901794434,
        2.03887677192688,
        2.037942409515381,
        2.03786039352417,
        2.0380709171295166,
        2.038398027420044,
        2.0386335849761963,
        2.038614511489868,
        2.0378968715667725,
        2.0389668941497803,
        2.0383598804473877,
        2.0386059284210205,
        2.038872480392456,
        2.0383694171905518,
        2.0385935306549072,
        2.0391054153442383,
        2.0399038791656494,
        2.0398757457733154,
        2.038559913635254,
        2.03826642036438,
        2.0389420986175537,
        2.038757562637329,
        2.0387260913848877,
        2.0393221378326416,
        2.0390853881835938,
        2.0382988452911377,
        2.038560390472412,
        2.0388293266296387,
        2.0386805534362793,
        2.0382883548736572,
        2.0384695529937744,
        2.038283586502075,
        2.0382211208343506,
        2.0390450954437256,
        2.038296937942505,
        2.038355588912964,
        2.038285493850708,
        2.0383899211883545,
        2.0383851528167725,
        2.0383317470550537,
        2.038503408432007,
        2.0384228229522705,
        2.0383975505828857,
        2.0386459827423096,
        2.0386645793914795,
        2.038644552230835,
        2.038888692855835,
        2.03887939453125,
        2.038041830062866,
        2.038005828857422,
        2.0381782054901123,
        2.0390236377716064,
        2.0384466648101807,
        2.038034200668335,
        2.038567304611206
    ],
    "average_depth_range_per_image": [
        1.5107421875,
        1.5087890625,
        1.5146484375,
        1.505859375,
        1.5078125,
        1.4951171875,
        1.5029296875,
        1.5078125,
        1.5009765625,
        1.49609375,
        1.5048828125,
        1.5078125,
        1.5087890625,
        1.4990234375,
        1.5029296875,
        1.5,
        1.501953125,
        1.5107421875,
        1.5048828125,
        1.4970703125,
        1.501953125,
        1.50390625,
        1.513671875,
        1.5068359375,
        1.5078125,
        1.5009765625,
        1.5029296875,
        1.515625,
        1.5068359375,
        1.494140625,
        1.5048828125,
        1.513671875,
        1.51171875,
        1.5078125,
        1.5166015625,
        1.4990234375,
        1.5107421875,
        1.4970703125,
        1.5029296875,
        1.4990234375,
        1.509765625,
        1.51171875,
        1.49609375,
        1.4921875,
        1.5126953125,
        1.5009765625,
        1.5029296875,
        1.50390625,
        1.50390625,
        1.498046875,
        1.5078125,
        1.5107421875,
        1.5068359375,
        1.5078125,
        1.5078125,
        1.5087890625,
        1.5048828125,
        1.5146484375,
        1.505859375,
        1.513671875,
        1.498046875,
        1.5,
        1.509765625,
        1.5048828125,
        1.498046875,
        1.5107421875,
        1.501953125,
        1.5048828125,
        1.4951171875,
        1.517578125,
        1.4892578125,
        1.4912109375,
        1.4990234375,
        1.5,
        1.4970703125,
        1.5009765625,
        1.5,
        1.5068359375,
        1.50390625,
        1.4931640625,
        1.48828125,
        1.49609375,
        1.490234375,
        1.5009765625,
        1.4990234375,
        1.5009765625,
        1.509765625,
        1.4921875,
        1.4951171875,
        1.48828125,
        1.4990234375,
        1.5048828125,
        1.4931640625,
        1.4736328125,
        1.484375,
        1.49609375,
        1.4990234375,
        1.4775390625,
        1.486328125,
        1.4990234375,
        1.4853515625,
        1.4951171875,
        1.494140625,
        1.49609375,
        1.494140625,
        1.48828125,
        1.5048828125,
        1.4951171875,
        1.49609375,
        1.4970703125,
        1.490234375,
        1.4873046875,
        1.4912109375,
        1.5048828125,
        1.49609375,
        1.482421875,
        1.494140625,
        1.490234375,
        1.49609375,
        1.4921875,
        1.4990234375,
        1.4921875,
        1.4921875,
        1.5009765625,
        1.4912109375,
        1.48828125,
        1.498046875,
        1.4990234375,
        1.50390625,
        1.490234375,
        1.4921875,
        1.49609375,
        1.4912109375,
        1.494140625,
        1.494140625,
        1.4912109375,
        1.4990234375,
        1.4931640625,
        1.498046875,
        1.498046875,
        1.5009765625,
        1.498046875,
        1.505859375,
        1.4951171875,
        1.4921875,
        1.4912109375,
        1.4921875,
        1.49609375,
        1.482421875,
        1.4931640625,
        1.4990234375,
        1.494140625,
        1.4990234375,
        1.4921875,
        1.4921875,
        1.4892578125,
        1.4931640625,
        1.498046875,
        1.4921875,
        1.4990234375,
        1.4921875,
        1.4990234375,
        1.486328125,
        1.4931640625,
        1.498046875,
        1.4970703125,
        1.4931640625,
        1.484375,
        1.498046875,
        1.498046875,
        1.4912109375,
        1.4921875,
        1.4912109375,
        1.4873046875,
        1.4912109375,
        1.4990234375,
        1.4873046875,
        1.49609375,
        1.50390625,
        1.498046875,
        1.4833984375,
        1.4892578125,
        1.4912109375,
        1.4931640625,
        1.4921875,
        1.4892578125,
        1.4970703125,
        1.498046875,
        1.5009765625,
        1.494140625,
        1.494140625,
        1.4853515625,
        1.5009765625,
        1.4951171875,
        1.498046875,
        1.501953125,
        1.494140625,
        1.486328125,
        1.5009765625,
        1.498046875,
        1.490234375,
        1.49609375,
        1.4921875,
        1.4990234375,
        1.48828125,
        1.48828125,
        1.4912109375,
        1.4892578125,
        1.4892578125,
        1.4970703125,
        1.4931640625,
        1.50390625,
        1.4921875,
        1.509765625,
        1.5048828125,
        1.5107421875,
        1.4951171875,
        1.4775390625,
        1.4970703125,
        1.5029296875,
        1.5029296875,
        1.505859375,
        1.4912109375,
        1.48828125,
        1.4990234375,
        1.515625,
        1.490234375,
        1.4990234375,
        1.4951171875,
        1.5048828125,
        1.4853515625,
        1.494140625,
        1.5048828125,
        1.484375,
        1.50390625,
        1.501953125,
        1.505859375,
        1.5009765625,
        1.498046875,
        1.50390625,
        1.50390625,
        1.4921875,
        1.5146484375,
        1.5126953125,
        1.505859375,
        1.5087890625,
        1.5166015625,
        1.51171875,
        1.5107421875,
        1.51171875,
        1.51171875,
        1.5068359375,
        1.50390625,
        1.498046875,
        1.5078125,
        1.5078125,
        1.501953125,
        1.50390625,
        1.51171875,
        1.5087890625,
        1.5107421875,
        1.5107421875,
        1.513671875,
        1.5166015625,
        1.5234375,
        1.5166015625,
        1.51953125,
        1.51953125,
        1.521484375,
        1.5166015625,
        1.525390625,
        1.5244140625,
        1.5283203125,
        1.5302734375,
        1.515625,
        1.5107421875,
        1.5234375,
        1.521484375,
        1.5146484375,
        1.515625,
        1.5185546875,
        1.5244140625,
        1.5087890625,
        1.505859375,
        1.5107421875,
        1.505859375,
        1.513671875,
        1.5146484375,
        1.5087890625,
        1.5009765625,
        1.5068359375,
        1.501953125,
        1.4775390625,
        1.5107421875,
        1.5107421875,
        1.51171875,
        1.501953125,
        1.501953125,
        1.498046875,
        1.5107421875,
        1.5048828125,
        1.4990234375,
        1.5078125,
        1.509765625,
        1.5,
        1.5146484375,
        1.505859375,
        1.4794921875,
        1.5029296875,
        1.5048828125,
        1.5029296875,
        1.501953125,
        1.50390625,
        1.5009765625,
        1.5078125,
        1.5048828125,
        1.5029296875,
        1.5068359375,
        1.4921875,
        1.4912109375,
        1.5068359375,
        1.4970703125,
        1.494140625,
        1.5,
        1.498046875,
        1.5009765625,
        1.4912109375,
        1.4990234375,
        1.5048828125,
        1.4951171875,
        1.484375,
        1.486328125,
        1.48828125,
        1.490234375,
        1.48828125,
        1.4814453125,
        1.4912109375,
        1.4892578125,
        1.4951171875,
        1.4921875,
        1.4775390625,
        1.4951171875,
        1.49609375,
        1.484375,
        1.513671875,
        1.4931640625,
        1.4892578125,
        1.4892578125,
        1.5048828125,
        1.4990234375,
        1.509765625,
        1.5029296875,
        1.5166015625,
        1.5078125,
        1.513671875,
        1.5166015625,
        1.5087890625,
        1.5068359375,
        1.494140625,
        1.505859375,
        1.5205078125,
        1.517578125,
        1.5263671875,
        1.5244140625,
        1.5244140625,
        1.5234375,
        1.521484375,
        1.529296875,
        1.5234375,
        1.5234375,
        1.537109375,
        1.5302734375,
        1.529296875,
        1.52734375,
        1.52734375,
        1.5263671875,
        1.525390625,
        1.5283203125,
        1.5322265625,
        1.525390625,
        1.53515625,
        1.5234375,
        1.5244140625,
        1.525390625,
        1.5126953125,
        1.5234375,
        1.51953125,
        1.5224609375,
        1.517578125,
        1.5107421875,
        1.5224609375,
        1.513671875,
        1.5078125,
        1.5087890625,
        1.515625,
        1.521484375,
        1.5205078125,
        1.5234375,
        1.5146484375,
        1.5234375,
        1.5234375,
        1.5244140625,
        1.5302734375,
        1.52734375,
        1.5234375,
        1.5234375,
        1.52734375,
        1.5263671875,
        1.5234375,
        1.53125,
        1.5244140625,
        1.5263671875,
        1.5322265625,
        1.5263671875,
        1.52734375,
        1.5224609375,
        1.52734375,
        1.529296875,
        1.5234375,
        1.5234375,
        1.5322265625,
        1.51953125,
        1.5302734375,
        1.525390625,
        1.5419921875,
        1.5341796875,
        1.5263671875,
        1.52734375,
        1.5244140625,
        1.5234375,
        1.5185546875,
        1.52734375,
        1.5283203125,
        1.521484375,
        1.521484375,
        1.521484375,
        1.5244140625,
        1.5283203125,
        1.515625,
        2.3585205078125,
        2.8984375,
        2.46337890625,
        2.776123046875,
        2.396240234375,
        2.5322265625,
        2.7020263671875,
        2.604736328125,
        2.5894775390625,
        2.2982177734375,
        2.5299072265625,
        2.35302734375,
        3.6171875,
        2.6029052734375,
        3.814453125,
        2.8094482421875,
        2.5682373046875,
        2.58251953125,
        2.572265625,
        2.62310791015625,
        2.5609130859375,
        2.5565185546875,
        2.5294189453125,
        2.5284423828125,
        2.5101318359375,
        2.511962890625,
        2.463134765625,
        2.396240234375,
        2.435302734375,
        2.48974609375,
        2.3173828125,
        2.271728515625,
        2.203369140625,
        2.227783203125,
        1.95849609375,
        2.184326171875,
        2.13232421875,
        1.814453125,
        2.12646484375,
        2.0029296875,
        1.55859375,
        1.552734375,
        1.546875,
        1.560546875,
        1.5517578125,
        1.544921875,
        1.5400390625,
        1.546875,
        1.53515625,
        1.533203125,
        1.5322265625,
        1.5341796875,
        1.5244140625,
        1.5322265625,
        1.5302734375,
        1.525390625,
        1.51953125,
        1.5283203125,
        1.525390625,
        1.5322265625,
        1.5302734375,
        1.537109375,
        1.5302734375,
        1.5361328125,
        1.5341796875,
        1.53125,
        1.5283203125,
        1.5205078125,
        1.5224609375,
        1.5302734375,
        1.52734375,
        1.52734375,
        1.525390625,
        1.53125,
        1.525390625,
        1.5546875,
        1.55078125,
        1.53125,
        1.529296875,
        1.5361328125,
        1.5283203125,
        1.5322265625,
        1.515625,
        1.51953125,
        1.533203125,
        1.533203125,
        1.529296875,
        1.537109375,
        1.5234375,
        1.5380859375,
        1.51953125,
        1.533203125,
        1.53125,
        1.568359375,
        1.6103515625,
        1.669921875,
        2.17333984375,
        2.24658203125,
        1.59375,
        1.5390625,
        1.74072265625,
        1.5517578125,
        1.603515625,
        1.69677734375,
        1.517578125,
        1.5244140625,
        1.5791015625,
        2.182861328125,
        1.619140625,
        1.578125,
        1.9697265625,
        1.83349609375,
        1.529296875,
        1.517578125,
        1.52734375,
        1.5283203125,
        1.525390625,
        1.509765625,
        1.525390625,
        1.5166015625,
        1.521484375,
        1.5185546875,
        1.517578125,
        1.4091796875,
        2.4505615234375,
        2.4483642578125,
        2.4302978515625,
        2.4315185546875,
        2.43603515625,
        2.4359130859375,
        2.47705078125,
        2.4267578125,
        2.4954833984375,
        2.3880615234375,
        3.14794921875,
        2.5205078125,
        3.4012451171875,
        3.437255859375,
        3.2510986328125,
        3.4256591796875,
        3.814453125,
        3.814453125,
        3.8125,
        3.814453125,
        3.814453125,
        3.80078125,
        3.814453125,
        3.8125,
        3.810546875,
        3.814453125,
        3.814453125,
        3.814453125,
        3.814453125,
        3.814453125,
        3.1783447265625,
        3.814453125,
        2.5968017578125,
        2.6746826171875,
        2.8177490234375,
        2.55078125,
        2.6910400390625,
        2.878173828125,
        3.010009765625,
        2.4610595703125,
        1.4835205078125,
        1.330810546875,
        2.2659912109375,
        3.810546875,
        3.802734375,
        1.2591552734375,
        1.2078857421875,
        1.2071533203125,
        1.2041015625,
        1.2108154296875,
        1.211181640625,
        1.2298583984375,
        1.24609375,
        1.24951171875,
        3.796875,
        3.814453125,
        1.76806640625,
        3.791015625,
        3.810546875,
        1.8851318359375,
        3.1480712890625,
        2.4346923828125,
        2.505859375,
        2.498779296875,
        2.4775390625,
        2.46484375,
        2.483154296875,
        2.4869384765625,
        2.4940185546875,
        2.443359375,
        2.43310546875,
        2.353271484375,
        2.411376953125,
        2.30615234375,
        1.5703125,
        1.57421875,
        1.5703125,
        1.572265625,
        1.580078125,
        1.57421875,
        1.5732421875,
        1.583984375,
        1.5673828125,
        1.5576171875,
        1.5830078125,
        1.533203125,
        1.541015625,
        1.537109375,
        1.5361328125,
        1.5283203125,
        1.544921875,
        1.54296875,
        1.5302734375,
        1.5380859375,
        1.5234375,
        1.505859375,
        1.4931640625,
        1.494140625,
        1.490234375,
        1.4912109375,
        1.474609375,
        1.4892578125,
        1.486328125,
        1.4765625,
        1.48046875,
        1.466796875,
        1.4921875,
        1.4833984375,
        1.4853515625,
        1.494140625,
        1.4873046875,
        1.4677734375,
        1.490234375,
        1.4775390625,
        1.4833984375,
        1.4912109375,
        1.486328125,
        1.486328125,
        1.49609375,
        1.4921875,
        1.50390625,
        1.498046875,
        1.49609375,
        1.505859375,
        1.4990234375,
        1.501953125,
        1.5,
        1.50390625,
        1.49609375,
        1.494140625,
        1.5048828125,
        1.5068359375,
        1.5107421875,
        1.509765625,
        1.5224609375,
        1.4970703125,
        1.47265625,
        1.4765625,
        1.4775390625,
        1.470703125,
        1.4853515625,
        1.5048828125,
        1.5322265625,
        1.525390625,
        1.51953125,
        1.677734375,
        1.60546875,
        1.576171875,
        1.5537109375,
        1.5380859375,
        1.5302734375,
        1.46875,
        1.4609375,
        1.4794921875,
        1.455078125,
        1.4638671875,
        1.45703125,
        1.451171875,
        1.4541015625,
        1.453125,
        1.4541015625,
        1.4541015625,
        1.455078125,
        1.455078125,
        1.455078125,
        1.45703125,
        1.4560546875,
        1.451171875,
        1.4560546875,
        1.451171875,
        1.451171875,
        1.451171875,
        1.455078125,
        1.4541015625,
        1.4521484375,
        1.453125,
        1.44921875,
        1.4521484375,
        1.45703125,
        1.4521484375,
        1.453125,
        1.453125,
        1.45703125,
        1.4541015625,
        1.451171875,
        1.4521484375,
        1.4560546875,
        1.4560546875,
        1.4541015625,
        1.4638671875,
        1.4619140625,
        1.4677734375,
        1.4658203125,
        1.4560546875,
        1.455078125,
        1.4541015625,
        1.4521484375,
        1.4521484375,
        1.4677734375,
        1.4619140625,
        1.4580078125,
        1.453125,
        1.4521484375,
        1.4501953125,
        1.44921875,
        1.4521484375,
        1.453125,
        1.4521484375,
        1.45703125,
        1.453125,
        1.453125,
        1.451171875,
        1.455078125,
        1.4560546875,
        1.453125,
        1.44921875,
        1.4482421875,
        1.4521484375,
        1.451171875,
        1.4501953125,
        1.453125,
        1.455078125,
        1.4501953125,
        1.44921875,
        1.451171875,
        1.44921875,
        1.4521484375,
        1.4501953125,
        1.509765625,
        1.5009765625,
        1.564453125,
        1.4912109375,
        1.521484375,
        1.44921875,
        1.462890625,
        1.4521484375,
        1.455078125,
        1.4541015625,
        1.453125,
        1.455078125,
        1.4560546875,
        1.4560546875,
        1.4482421875,
        1.451171875,
        1.4521484375,
        1.4501953125,
        1.4501953125,
        1.451171875,
        1.451171875,
        1.4501953125,
        1.4541015625,
        1.45703125,
        1.451171875,
        1.4501953125,
        1.451171875,
        1.4501953125,
        1.4482421875,
        1.4560546875,
        1.4560546875,
        1.4521484375,
        1.455078125,
        1.4541015625,
        1.4541015625,
        1.4482421875,
        1.4521484375,
        1.4501953125,
        1.455078125,
        1.4501953125,
        1.45703125,
        1.4580078125,
        1.455078125,
        1.455078125,
        1.453125,
        1.4560546875,
        1.455078125,
        1.455078125,
        1.4873046875,
        2.235107421875,
        2.26171875,
        2.249755859375,
        2.283935546875,
        2.2919921875,
        2.3115234375,
        2.32763671875,
        2.436767578125,
        2.4036865234375,
        2.351318359375,
        2.4085693359375,
        2.4931640625,
        2.3887939453125,
        2.2872314453125,
        2.388427734375,
        2.5594482421875,
        2.5897216796875,
        2.9476318359375,
        2.522216796875,
        3.0157470703125,
        2.83740234375,
        2.731201171875,
        2.729736328125,
        2.9508056640625,
        2.833740234375,
        2.7357177734375,
        2.859130859375,
        2.8289794921875,
        2.6298828125,
        2.564697265625,
        2.537109375,
        2.71435546875,
        2.79931640625,
        2.521240234375,
        2.5882568359375,
        2.58984375,
        2.5682373046875,
        2.596435546875,
        2.6224365234375,
        2.665771484375,
        2.5791015625,
        2.552490234375,
        2.5733642578125,
        2.5518798828125,
        2.5526123046875,
        2.7042236328125,
        2.49951171875,
        2.7979736328125,
        2.7215576171875,
        2.4683837890625,
        2.369873046875,
        2.3662109375,
        2.4007568359375,
        2.4195556640625,
        2.412109375,
        2.490966796875,
        2.38232421875,
        1.4970703125,
        1.5224609375,
        1.6630859375,
        1.5361328125,
        1.5439453125,
        1.53125,
        1.5595703125,
        1.5478515625,
        1.54296875,
        1.53125,
        1.51171875,
        1.5166015625,
        1.5,
        1.4970703125,
        1.4794921875,
        1.4775390625,
        1.4931640625,
        1.4892578125,
        1.484375,
        1.478515625,
        1.48828125,
        1.4833984375,
        1.4765625,
        1.4716796875,
        1.4814453125,
        1.46484375,
        1.45703125,
        1.4619140625,
        1.45703125,
        1.4580078125,
        1.45703125,
        1.4560546875,
        1.4560546875,
        1.4501953125,
        1.4541015625,
        1.4501953125,
        1.4541015625,
        1.4560546875,
        1.4501953125,
        1.4521484375,
        1.453125,
        1.447265625,
        1.451171875,
        1.4501953125,
        1.451171875,
        1.4521484375,
        1.4541015625,
        1.4580078125,
        1.4521484375,
        1.455078125,
        1.455078125,
        1.4541015625,
        1.45703125,
        1.453125,
        1.4541015625,
        1.45703125,
        1.453125,
        1.451171875,
        1.4501953125,
        1.453125,
        1.453125,
        1.4580078125,
        1.4560546875,
        1.451171875,
        1.4521484375,
        1.44921875,
        1.4541015625,
        1.44921875,
        1.4501953125,
        1.453125,
        1.451171875,
        1.4482421875,
        1.4501953125,
        1.451171875,
        1.44921875,
        1.4599609375,
        1.451171875,
        1.4794921875,
        1.5048828125,
        1.501953125,
        1.4658203125,
        1.4765625,
        1.453125,
        1.455078125,
        1.451171875,
        1.451171875,
        1.453125,
        1.4541015625,
        1.4541015625,
        1.451171875,
        1.4521484375,
        1.4521484375,
        1.4658203125,
        1.451171875,
        1.4541015625,
        1.4814453125,
        1.474609375,
        1.4892578125,
        1.46875,
        1.47265625,
        1.4736328125,
        1.478515625,
        1.4775390625,
        1.4736328125,
        1.46484375,
        1.4658203125,
        1.484375,
        1.48828125,
        1.484375,
        1.4755859375,
        1.455078125,
        1.453125,
        1.4609375,
        1.455078125,
        1.4697265625,
        1.4521484375,
        1.451171875,
        1.453125,
        1.455078125,
        1.4541015625,
        1.4599609375,
        1.4521484375,
        1.4560546875,
        1.4521484375,
        1.4541015625,
        1.455078125,
        1.455078125,
        1.4560546875,
        1.4541015625,
        1.453125,
        1.4521484375,
        1.453125,
        1.4521484375,
        1.455078125,
        1.455078125,
        1.4521484375,
        1.4541015625,
        1.4580078125,
        1.4501953125,
        1.451171875,
        1.4482421875,
        1.453125,
        1.4541015625,
        1.4501953125,
        1.4482421875,
        1.4541015625,
        1.44921875,
        1.4541015625,
        1.453125,
        1.453125,
        1.4521484375,
        1.4755859375,
        1.5302734375,
        1.5,
        1.4716796875,
        1.5302734375,
        1.5537109375,
        1.572265625,
        1.5556640625,
        1.5205078125,
        1.5361328125,
        1.5419921875,
        1.509765625,
        1.5146484375,
        1.5009765625,
        1.501953125,
        1.5048828125,
        1.501953125,
        1.498046875,
        1.5,
        1.5068359375,
        1.4970703125,
        1.5,
        1.5107421875,
        1.50390625,
        1.49609375,
        1.4931640625,
        1.5048828125,
        1.501953125,
        1.4873046875,
        1.498046875,
        1.5048828125,
        1.501953125,
        1.5029296875,
        1.4990234375,
        1.498046875,
        1.4931640625,
        1.4951171875,
        1.4892578125,
        1.4833984375,
        1.4951171875,
        1.490234375,
        1.498046875,
        1.484375,
        1.50390625,
        1.5009765625,
        1.498046875,
        1.5,
        1.4931640625,
        1.4853515625,
        1.4892578125,
        1.5048828125,
        1.5166015625,
        1.5205078125,
        1.52734375,
        1.97509765625,
        2.0068359375,
        2.235595703125,
        2.2939453125,
        2.31689453125,
        2.302978515625,
        2.382568359375,
        2.4373779296875,
        2.4788818359375,
        2.408447265625,
        2.41650390625,
        2.44970703125,
        2.5113525390625,
        2.5419921875,
        2.551025390625,
        2.5931396484375,
        2.56640625,
        2.544189453125,
        2.52099609375,
        2.4981689453125,
        2.5009765625,
        2.537109375,
        2.5643310546875,
        2.531982421875,
        2.53125,
        2.48974609375,
        2.478271484375,
        2.4599609375,
        2.4698486328125,
        2.46826171875,
        2.419189453125,
        2.3922119140625,
        2.4071044921875,
        2.47119140625,
        2.420166015625,
        2.44091796875,
        2.47607421875,
        2.5552978515625,
        2.5496826171875,
        3.1170654296875,
        3.2178955078125,
        2.67529296875,
        2.9119873046875,
        3.2763671875,
        3.8125,
        3.814453125,
        3.501953125,
        3.1971435546875,
        2.5885009765625,
        2.541748046875,
        2.4134521484375,
        2.4615478515625,
        2.6065673828125,
        2.5438232421875,
        3.316162109375,
        2.4031982421875,
        2.464111328125,
        2.582275390625,
        3.810546875,
        2.51708984375,
        2.4979248046875,
        2.491455078125,
        2.476806640625,
        2.426025390625,
        2.390380859375,
        2.51513671875,
        2.35009765625,
        2.345703125,
        2.03662109375,
        1.5791015625,
        1.5888671875,
        1.5654296875,
        1.5830078125,
        1.5654296875,
        1.5673828125,
        1.576171875,
        1.5673828125,
        1.54296875,
        1.54296875,
        1.541015625,
        1.5458984375,
        1.5283203125,
        1.5546875,
        1.552734375,
        1.5498046875,
        1.548828125,
        1.544921875,
        1.53125,
        1.53515625,
        1.5283203125,
        1.5048828125,
        1.5,
        1.5029296875,
        1.50390625,
        1.5146484375,
        1.515625,
        1.5185546875,
        1.5068359375,
        1.5048828125,
        1.5087890625,
        1.509765625,
        1.5009765625,
        1.5009765625,
        1.5068359375,
        1.5087890625,
        1.50390625,
        1.49609375,
        1.4970703125,
        1.51171875,
        1.5009765625,
        1.51171875,
        1.5146484375,
        1.51171875,
        1.5048828125,
        1.5107421875,
        1.521484375,
        1.5234375,
        1.517578125,
        1.509765625,
        1.50390625,
        1.5078125,
        1.513671875,
        1.49609375,
        1.478515625,
        1.4482421875,
        1.453125,
        1.44921875,
        1.4521484375,
        1.46875,
        1.4521484375,
        1.453125,
        1.447265625,
        1.4521484375,
        1.4501953125,
        1.44921875,
        1.44921875,
        1.4501953125,
        1.451171875,
        1.44921875,
        1.4482421875,
        1.4462890625,
        1.453125,
        1.451171875,
        1.44921875,
        1.4462890625,
        1.451171875,
        1.4501953125,
        1.4501953125,
        1.4501953125,
        1.44921875,
        1.44921875,
        1.4462890625,
        1.44921875,
        1.4462890625,
        1.44921875,
        1.4501953125,
        1.4501953125,
        1.443359375,
        1.4462890625,
        1.4521484375,
        1.4501953125,
        1.46875,
        1.49609375,
        1.501953125,
        1.4619140625,
        1.4541015625,
        1.453125,
        1.455078125,
        1.451171875,
        1.4482421875,
        1.4501953125,
        1.451171875,
        1.4482421875,
        1.447265625,
        1.451171875,
        1.453125,
        1.44921875,
        1.44921875,
        1.453125,
        1.4482421875,
        1.4453125,
        1.4521484375,
        1.447265625,
        1.4521484375,
        1.453125,
        1.44921875,
        1.4501953125,
        1.4482421875,
        1.4580078125,
        1.4541015625,
        1.4521484375,
        1.451171875,
        1.451171875,
        1.455078125,
        1.4580078125,
        1.46875,
        1.5576171875,
        1.57421875,
        1.5302734375,
        1.53515625,
        1.458984375,
        1.458984375,
        1.466796875,
        1.4775390625,
        1.517578125,
        1.537109375,
        1.4716796875,
        1.4560546875,
        1.4658203125,
        1.4755859375,
        1.46484375,
        1.4697265625,
        1.4833984375,
        1.4599609375,
        1.478515625,
        1.4658203125,
        1.5322265625,
        1.5380859375,
        2.0078125,
        2.257568359375,
        2.2568359375,
        2.3056640625,
        2.25830078125,
        2.267578125,
        2.296142578125,
        2.30859375,
        2.342041015625,
        2.3427734375,
        2.369140625,
        2.4056396484375,
        2.4510498046875,
        2.400146484375,
        2.4149169921875,
        2.46044921875,
        2.441162109375,
        2.4453125,
        2.4285888671875,
        2.42333984375,
        2.5048828125,
        2.4349365234375,
        2.444091796875,
        2.4813232421875,
        2.4595947265625,
        2.4541015625,
        2.4610595703125,
        2.447265625,
        2.4969482421875,
        2.548095703125,
        2.475830078125,
        2.4932861328125,
        2.5582275390625,
        2.5196533203125,
        2.5477294921875,
        2.526123046875,
        2.5194091796875,
        2.48095703125,
        2.47705078125,
        2.4788818359375,
        2.4931640625,
        2.4886474609375,
        2.48974609375,
        2.46533203125,
        2.4708251953125,
        2.468994140625,
        2.4765625,
        2.4713134765625,
        2.462890625,
        2.477294921875,
        2.4676513671875,
        2.4921875,
        2.4739990234375,
        2.5137939453125,
        2.4735107421875,
        2.463623046875,
        2.4722900390625,
        2.489013671875,
        2.5123291015625,
        2.4683837890625,
        2.4979248046875,
        2.4613037109375,
        2.448486328125,
        2.4449462890625,
        2.47119140625,
        2.442138671875,
        2.3870849609375,
        2.233154296875,
        1.50390625,
        1.5146484375,
        1.54296875,
        1.552734375,
        1.4853515625,
        1.4794921875,
        1.4775390625,
        1.4658203125,
        1.478515625,
        1.46875,
        1.474609375,
        1.4736328125,
        1.470703125,
        1.4697265625,
        1.517578125,
        1.5380859375,
        1.4912109375,
        1.4921875,
        1.5947265625,
        1.60546875,
        1.5029296875,
        1.494140625,
        1.498046875,
        1.5009765625,
        1.46875,
        1.490234375,
        1.474609375,
        1.478515625,
        1.470703125,
        1.4873046875,
        1.4765625,
        1.48828125,
        1.498046875,
        1.46875,
        1.4931640625,
        1.4794921875,
        1.4873046875,
        1.478515625,
        1.4931640625,
        1.4892578125,
        1.48046875,
        1.4560546875,
        1.46875,
        1.4794921875,
        1.5390625,
        1.5361328125,
        1.4755859375,
        1.4716796875,
        1.529296875,
        1.5498046875,
        1.484375,
        1.48046875,
        1.4580078125,
        1.4599609375,
        1.478515625,
        1.4814453125,
        1.4599609375,
        1.453125,
        1.451171875,
        1.455078125,
        1.5263671875,
        1.451171875,
        1.4521484375,
        1.451171875,
        1.4462890625,
        1.4501953125,
        1.453125,
        1.451171875,
        1.451171875,
        1.4501953125,
        1.4482421875,
        1.447265625,
        1.4501953125,
        1.4482421875,
        1.4482421875,
        1.4482421875,
        1.4541015625,
        1.44921875,
        1.4521484375,
        1.4482421875,
        1.455078125,
        1.44921875,
        1.4482421875,
        1.4501953125,
        1.447265625,
        1.4462890625,
        1.4443359375,
        1.451171875,
        1.4462890625,
        1.44921875,
        1.4462890625,
        1.447265625,
        1.44921875,
        1.4453125,
        1.4453125,
        1.4462890625,
        1.44921875,
        1.4453125,
        1.4453125,
        1.4482421875,
        1.443359375,
        1.4501953125,
        1.451171875,
        1.453125,
        1.44921875,
        1.451171875,
        1.453125,
        1.451171875,
        1.4521484375,
        1.44921875,
        1.4501953125,
        1.44921875,
        1.75,
        1.4697265625,
        1.4521484375,
        1.4521484375,
        1.453125,
        1.4599609375,
        1.451171875,
        1.5146484375,
        1.5380859375,
        1.5322265625,
        1.486328125,
        1.53125,
        1.5166015625,
        1.51171875,
        1.5322265625,
        1.533203125,
        1.5244140625,
        1.51953125,
        1.5087890625,
        1.505859375,
        1.5087890625,
        1.5087890625,
        1.5205078125,
        1.51171875,
        1.5224609375,
        1.513671875,
        1.5126953125,
        1.517578125,
        1.515625,
        1.515625,
        1.5205078125,
        1.513671875,
        1.5146484375,
        1.5185546875,
        1.5078125,
        1.5068359375,
        1.515625,
        1.5205078125,
        1.5107421875,
        1.498046875,
        1.5048828125,
        1.5048828125,
        1.50390625,
        1.505859375,
        1.517578125,
        1.509765625,
        1.5068359375,
        1.51171875,
        1.5068359375,
        1.5068359375,
        1.4970703125,
        1.5009765625,
        1.5,
        1.75146484375,
        2.39697265625,
        2.365966796875,
        2.406494140625,
        2.427734375,
        2.4462890625,
        2.4012451171875,
        2.38330078125,
        2.4884033203125,
        2.37841796875,
        2.447998046875,
        2.4315185546875,
        2.47705078125,
        2.430908203125,
        2.423583984375,
        2.400390625,
        2.4610595703125,
        2.718017578125,
        2.922607421875,
        3.814453125,
        3.3319091796875,
        3.35986328125,
        3.28369140625,
        3.4185791015625,
        3.300537109375,
        3.814453125,
        2.8951416015625,
        2.638671875,
        2.6318359375,
        3.1717529296875,
        3.441650390625,
        3.810546875,
        3.814453125,
        3.814453125,
        3.814453125,
        3.814453125,
        3.8125,
        3.8125,
        3.8125,
        3.8125,
        3.8125,
        3.814453125,
        3.814453125,
        3.80859375,
        3.80859375,
        3.810546875,
        3.8046875,
        3.810546875,
        3.810546875,
        3.814453125,
        3.80859375,
        2.428466796875,
        3.814453125,
        2.4149169921875,
        2.5550537109375,
        2.5330810546875,
        2.544189453125,
        2.5433349609375,
        2.61376953125,
        2.293701171875,
        2.10009765625,
        1.5390625,
        1.5390625,
        1.5537109375,
        1.576171875,
        1.568359375,
        1.55859375,
        1.544921875,
        1.5732421875,
        1.5322265625,
        1.525390625,
        1.580078125,
        1.564453125,
        1.5478515625,
        1.5400390625,
        1.5400390625,
        1.5283203125,
        1.556640625,
        1.55859375,
        1.546875,
        1.5537109375,
        1.544921875,
        1.5302734375,
        1.5244140625,
        1.52734375,
        1.521484375,
        1.5234375,
        1.5126953125,
        1.515625,
        1.515625,
        1.5205078125,
        1.5146484375,
        1.5126953125,
        1.5078125,
        1.517578125,
        1.521484375,
        1.5166015625,
        1.515625,
        1.521484375,
        1.5322265625,
        1.9296875,
        1.94921875,
        1.87841796875,
        1.77392578125,
        1.72802734375,
        1.85791015625,
        1.892578125,
        1.845703125,
        1.814453125,
        1.80224609375,
        1.70751953125,
        1.708984375,
        1.65380859375,
        1.69580078125,
        1.62841796875,
        1.626953125,
        1.66015625,
        1.5888671875,
        1.5986328125,
        1.59765625,
        1.61328125,
        1.65478515625,
        1.623046875,
        1.60986328125,
        1.5986328125,
        1.599609375,
        1.5673828125,
        1.5654296875,
        1.6396484375,
        1.5478515625,
        1.5341796875,
        1.5517578125,
        1.4892578125,
        1.5537109375,
        1.4990234375,
        1.5087890625,
        1.494140625,
        1.5205078125,
        1.5009765625,
        1.5087890625,
        1.4892578125,
        1.498046875,
        1.482421875,
        1.5068359375,
        1.5029296875,
        1.505859375,
        1.4970703125,
        1.49609375,
        1.498046875,
        1.49609375,
        1.501953125,
        1.5029296875,
        1.5029296875,
        1.5078125,
        1.478515625,
        1.482421875,
        1.4716796875,
        1.5087890625,
        1.46484375,
        1.47265625,
        1.662109375,
        1.4814453125,
        1.505859375,
        1.4951171875,
        1.533203125,
        1.5390625,
        1.556640625,
        1.591796875,
        1.5986328125,
        1.61962890625,
        1.6259765625,
        1.8125,
        1.68994140625,
        1.6142578125,
        1.62744140625,
        1.63037109375,
        1.6787109375,
        1.69482421875,
        1.767578125,
        1.7919921875,
        1.85888671875,
        1.86572265625,
        1.87548828125,
        2.1318359375,
        1.89501953125,
        1.92431640625,
        1.78662109375,
        1.81005859375,
        1.80908203125,
        1.8740234375,
        1.8876953125,
        1.80029296875,
        1.50390625,
        2.0625,
        2.060546875,
        1.927734375,
        1.517578125,
        1.5244140625,
        1.5185546875,
        1.5126953125,
        1.5185546875,
        1.5048828125,
        1.69921875,
        2.305419921875,
        2.34814453125,
        2.376708984375,
        2.38671875,
        2.427734375,
        2.40966796875,
        2.4735107421875,
        2.5242919921875,
        2.4857177734375,
        2.7889404296875,
        2.49462890625,
        2.4866943359375,
        2.52099609375,
        2.4893798828125,
        2.4703369140625,
        2.3751220703125,
        2.4696044921875,
        2.4581298828125,
        2.655517578125,
        2.5850830078125,
        2.5909423828125,
        2.584228515625,
        2.6959228515625,
        2.898193359375,
        2.9737548828125,
        2.86767578125,
        2.8375244140625,
        2.8011474609375,
        2.7821044921875,
        2.716064453125,
        2.7581787109375,
        2.668701171875,
        2.8935546875,
        3.0439453125,
        3.1676025390625,
        3.234375,
        2.855712890625,
        2.9757080078125,
        3.4312744140625,
        3.802734375,
        3.4302978515625,
        3.814453125,
        2.60986328125,
        2.5517578125,
        2.5596923828125,
        2.6339111328125,
        2.5445556640625,
        1.5263671875,
        1.5234375,
        1.5322265625,
        1.5400390625,
        1.546875,
        1.5712890625,
        1.572265625,
        1.57421875,
        1.5517578125,
        1.578125,
        1.57421875,
        1.5732421875,
        1.564453125,
        1.5595703125,
        1.548828125,
        1.5478515625,
        1.537109375,
        1.529296875,
        1.529296875,
        1.5400390625,
        1.544921875,
        1.53515625,
        1.546875,
        1.529296875,
        1.51953125,
        1.529296875,
        1.5205078125,
        1.517578125,
        1.515625,
        1.5166015625,
        1.517578125,
        1.5078125,
        1.5234375,
        1.5068359375,
        1.517578125,
        1.5126953125,
        1.5126953125,
        1.513671875,
        1.5107421875,
        1.5126953125,
        1.509765625,
        1.51171875,
        1.51171875,
        1.5107421875,
        1.513671875,
        1.5126953125,
        1.5,
        1.521484375,
        1.501953125,
        1.5087890625,
        1.7431640625,
        1.6962890625,
        1.7080078125,
        1.693359375,
        1.86083984375,
        1.81689453125,
        1.712890625,
        1.75537109375,
        1.650390625,
        1.70849609375,
        2.021484375,
        1.77978515625,
        1.7041015625,
        1.68017578125,
        1.73193359375,
        1.7265625,
        1.6708984375,
        1.76416015625,
        1.6435546875,
        1.65283203125,
        1.5908203125,
        1.62744140625,
        1.6064453125,
        1.5966796875,
        1.53125,
        1.646484375,
        1.513671875,
        1.5390625,
        1.4912109375,
        1.5048828125,
        1.474609375,
        1.4853515625,
        1.47265625,
        1.4912109375,
        1.466796875,
        1.4765625,
        1.4658203125,
        1.45703125,
        1.4560546875,
        1.4560546875,
        1.455078125,
        1.458984375,
        1.458984375,
        1.455078125,
        1.453125,
        1.455078125,
        1.4521484375,
        1.451171875,
        1.453125,
        1.453125,
        1.4462890625,
        1.451171875,
        1.4462890625,
        1.447265625,
        1.4482421875,
        1.447265625,
        1.501953125,
        1.5458984375,
        1.4814453125,
        1.4599609375,
        1.4912109375,
        1.50390625,
        1.5205078125,
        1.5205078125,
        1.4794921875,
        1.5009765625,
        1.5009765625,
        1.6005859375,
        1.486328125,
        1.5166015625,
        1.6767578125,
        1.6376953125,
        1.4775390625,
        1.59765625,
        1.5556640625,
        1.548828125,
        1.65673828125,
        1.587890625,
        1.5634765625,
        1.5654296875,
        1.548828125,
        1.537109375,
        1.5576171875,
        1.61083984375,
        1.5869140625,
        1.65234375,
        1.6279296875,
        1.61279296875,
        1.6484375,
        2.216796875,
        2.1328125,
        1.7314453125,
        1.72216796875,
        1.73974609375,
        1.77783203125,
        3.796875,
        1.833984375,
        1.89111328125,
        2.22119140625,
        1.9267578125,
        1.98974609375,
        2.259765625,
        2.18505859375,
        1.9658203125,
        2.02490234375,
        2.01123046875,
        2.1298828125,
        2.134765625,
        2.1015625,
        2.10302734375,
        2.05517578125,
        2.0517578125,
        2.428955078125,
        2.376708984375,
        2.390380859375,
        2.3955078125,
        2.43115234375,
        2.3876953125,
        2.42431640625,
        2.375732421875,
        2.4130859375,
        2.435791015625,
        2.416259765625,
        2.3955078125,
        2.388427734375,
        2.38525390625,
        2.394287109375,
        2.40478515625,
        2.39013671875,
        2.375732421875,
        2.37353515625,
        2.378173828125,
        2.383056640625,
        2.39404296875,
        2.3955078125,
        2.406982421875,
        2.397705078125,
        2.386474609375,
        2.3779296875,
        2.400390625,
        2.437255859375,
        2.4783935546875,
        2.4659423828125,
        2.45947265625,
        2.4925537109375,
        2.4989013671875,
        2.54248046875,
        2.4454345703125,
        2.5455322265625,
        2.4423828125,
        2.4281005859375,
        2.4359130859375,
        2.5670166015625,
        2.55029296875,
        2.954833984375,
        3.10009765625,
        3.8125,
        3.814453125,
        3.5025634765625,
        3.814453125,
        3.1068115234375,
        3.60205078125,
        3.4376220703125,
        2.81591796875,
        2.8331298828125,
        3.60009765625,
        3.814453125,
        3.59619140625,
        3.814453125,
        3.4100341796875,
        3.4541015625,
        3.286865234375,
        3.2581787109375,
        3.5208740234375,
        3.5518798828125,
        3.444580078125,
        3.4881591796875,
        3.6190185546875,
        3.4132080078125,
        3.208984375,
        2.6405029296875,
        2.9105224609375,
        2.69873046875,
        2.6201171875,
        2.5406494140625,
        2.5928955078125,
        2.5599365234375,
        2.7144775390625,
        2.52685546875,
        2.11328125,
        1.5234375,
        1.52734375,
        1.5419921875,
        1.544921875,
        1.5537109375,
        1.5712890625,
        1.5732421875,
        1.5888671875,
        1.56640625,
        1.576171875,
        1.5654296875,
        1.5771484375,
        1.5830078125,
        1.576171875,
        1.548828125,
        1.5517578125,
        1.556640625,
        1.560546875,
        1.560546875,
        1.609375,
        1.626953125,
        1.5546875,
        1.5322265625,
        1.5498046875,
        1.546875,
        1.5341796875,
        1.5380859375,
        1.537109375,
        1.5390625,
        1.5302734375,
        1.5439453125,
        1.71826171875,
        1.86181640625,
        2.0126953125,
        1.994140625,
        1.98681640625,
        2.02880859375,
        2.08251953125,
        2.1337890625,
        2.03662109375,
        1.99560546875,
        1.97705078125,
        1.9638671875,
        2.0703125,
        1.93505859375,
        1.99169921875,
        1.9248046875,
        1.8671875,
        1.8359375,
        1.8095703125,
        1.7685546875,
        1.76025390625,
        1.732421875,
        1.7294921875,
        1.6689453125,
        1.6181640625,
        1.5947265625,
        1.5810546875,
        1.560546875,
        1.556640625,
        1.5576171875,
        1.5556640625,
        1.560546875,
        1.5751953125,
        1.564453125,
        1.5712890625,
        1.564453125,
        1.5654296875,
        1.5791015625,
        1.5615234375,
        1.568359375,
        1.552734375,
        1.548828125,
        1.544921875,
        1.552734375,
        1.548828125,
        1.5576171875,
        1.552734375,
        1.5419921875,
        1.54296875,
        1.5400390625,
        1.544921875,
        1.5341796875,
        1.5400390625,
        1.544921875,
        1.5390625,
        1.5458984375,
        1.541015625,
        1.55078125,
        1.552734375,
        1.552734375,
        1.541015625,
        1.541015625,
        1.5419921875,
        1.548828125,
        1.5361328125,
        1.5390625,
        1.537109375,
        1.544921875,
        1.5390625,
        1.5302734375,
        1.544921875,
        1.5380859375,
        1.5322265625,
        1.5361328125,
        1.5400390625,
        1.54296875,
        1.5419921875,
        1.5478515625,
        1.5361328125,
        1.5400390625,
        1.5361328125,
        1.51953125,
        1.5078125,
        1.5205078125,
        1.5185546875,
        1.5126953125,
        1.513671875,
        1.52734375,
        1.529296875,
        1.51953125,
        1.5322265625,
        1.537109375,
        1.5283203125,
        1.53125,
        1.533203125,
        1.5341796875,
        1.54296875,
        1.5341796875,
        1.5380859375,
        1.541015625,
        1.53125,
        1.5302734375,
        1.5302734375,
        1.548828125,
        1.5361328125,
        1.537109375,
        1.529296875,
        1.5322265625,
        1.5390625,
        1.533203125,
        1.5283203125,
        1.5341796875,
        1.5322265625,
        1.533203125,
        1.52734375,
        1.5263671875,
        1.5302734375,
        1.52734375,
        1.546875,
        1.54296875,
        1.5361328125,
        1.5361328125,
        1.533203125,
        1.5400390625,
        1.5390625,
        1.5517578125,
        1.541015625,
        1.5419921875,
        1.544921875,
        1.548828125,
        1.54296875,
        1.541015625,
        1.537109375,
        1.5458984375,
        1.55078125,
        1.53515625,
        1.5439453125,
        1.5498046875,
        1.5439453125,
        1.552734375,
        1.548828125,
        1.5576171875,
        1.5595703125,
        1.556640625,
        1.578125,
        1.6591796875,
        1.630859375,
        1.6728515625,
        1.74072265625,
        1.7236328125,
        1.732421875,
        1.8251953125,
        1.8046875,
        1.8017578125,
        1.857421875,
        1.84375,
        1.87744140625,
        1.92724609375,
        1.9501953125,
        1.98681640625,
        2.00634765625,
        2.04931640625,
        2.15966796875,
        2.12841796875,
        2.10791015625,
        2.05810546875,
        2.424072265625,
        2.414794921875,
        2.395263671875,
        2.4638671875,
        2.3876953125,
        2.40576171875,
        2.425048828125,
        2.4228515625,
        2.4658203125,
        2.474853515625,
        2.51220703125,
        2.506103515625,
        2.465576171875,
        2.63134765625,
        2.5467529296875,
        2.558837890625,
        2.6209716796875,
        3.24609375,
        3.0220947265625,
        2.4083251953125,
        3.107666015625,
        3.810546875,
        3.7578125,
        3.814453125,
        3.8125,
        3.814453125,
        3.814453125,
        3.814453125,
        3.5943603515625,
        3.0604248046875,
        3.2381591796875,
        3.5126953125,
        3.814453125,
        3.814453125,
        3.2742919921875,
        3.149169921875,
        3.2386474609375,
        3.80859375,
        3.779296875,
        3.41357421875,
        3.2254638671875,
        3.3311767578125,
        3.814453125,
        3.814453125,
        3.4847412109375,
        2.3951416015625,
        2.4896240234375,
        2.5135498046875,
        2.6224365234375,
        2.5810546875,
        2.54052734375,
        2.553955078125,
        2.493408203125,
        2.404541015625,
        1.5517578125,
        1.548828125,
        1.5693359375,
        1.5791015625,
        1.5849609375,
        1.57421875,
        1.576171875,
        1.580078125,
        1.57421875,
        1.5751953125,
        1.572265625,
        1.5615234375,
        1.5517578125,
        1.556640625,
        1.5595703125,
        1.55078125,
        1.552734375,
        1.560546875,
        1.5615234375,
        1.5615234375,
        1.5625,
        1.560546875,
        1.5546875,
        1.55078125,
        1.55078125,
        1.5576171875,
        1.5478515625,
        1.5556640625,
        1.55859375,
        1.5517578125,
        1.541015625,
        1.54296875,
        1.5234375,
        1.546875,
        1.5380859375,
        1.5380859375,
        1.541015625,
        1.533203125,
        1.5478515625,
        1.5419921875,
        1.5390625,
        1.5302734375,
        1.529296875,
        1.5380859375,
        1.5283203125,
        1.5302734375,
        1.5361328125,
        1.5302734375,
        1.5234375,
        1.53125,
        1.5302734375,
        1.52734375,
        1.525390625,
        1.5283203125,
        1.533203125,
        1.5302734375,
        1.5205078125,
        1.5341796875,
        1.5205078125,
        1.51953125,
        1.5244140625,
        1.5302734375,
        1.5166015625,
        1.5224609375,
        1.5244140625,
        1.529296875,
        1.5322265625,
        1.5234375,
        1.5146484375,
        1.5283203125,
        1.50390625,
        1.86474609375,
        1.83251953125,
        2.177001953125,
        2.19970703125,
        2.11181640625,
        2.0888671875,
        2.123046875,
        2.12890625,
        2.125,
        2.12451171875,
        2.10400390625,
        2.07861328125,
        2.0302734375,
        2.03759765625,
        1.96484375,
        1.908203125,
        1.923828125,
        1.896484375,
        1.88720703125,
        1.853515625,
        1.85791015625,
        1.82373046875,
        1.8466796875,
        1.8134765625,
        1.8134765625,
        1.74853515625,
        1.74755859375,
        1.6884765625,
        1.7021484375,
        1.615234375,
        1.6181640625,
        1.572265625,
        1.55078125,
        1.560546875,
        1.5615234375,
        1.5673828125,
        1.5693359375,
        1.560546875,
        1.5712890625,
        1.5595703125,
        1.55078125,
        1.5458984375,
        1.5556640625,
        1.5615234375,
        1.5673828125,
        1.568359375,
        1.55859375,
        1.548828125,
        1.552734375,
        1.560546875,
        1.5517578125,
        1.5625,
        1.55859375,
        1.5478515625,
        1.552734375,
        1.5615234375,
        1.548828125,
        1.5458984375,
        1.5537109375,
        1.548828125,
        1.548828125,
        1.5400390625,
        1.5341796875,
        1.5380859375,
        1.54296875,
        1.544921875,
        1.552734375,
        1.5439453125,
        1.5390625,
        1.537109375,
        1.5400390625,
        1.53515625,
        1.5517578125,
        1.54296875,
        1.54296875,
        1.541015625,
        1.537109375,
        1.5341796875,
        1.541015625,
        1.548828125,
        1.54296875,
        1.541015625,
        1.541015625,
        1.529296875,
        1.544921875,
        1.552734375,
        1.5341796875,
        1.54296875,
        1.5400390625,
        1.5341796875,
        1.541015625,
        1.5458984375,
        1.5458984375,
        1.5517578125,
        1.544921875,
        1.5478515625,
        1.5390625,
        1.546875,
        1.5341796875,
        1.5517578125,
        1.5517578125,
        1.5380859375,
        1.5400390625,
        1.5439453125,
        1.55078125,
        1.546875,
        1.5458984375,
        1.54296875,
        1.55078125,
        1.5478515625,
        1.552734375,
        1.5439453125,
        1.546875,
        1.5458984375,
        1.548828125,
        1.560546875,
        1.546875,
        1.5478515625,
        1.5517578125,
        1.548828125,
        1.5439453125,
        1.5419921875,
        1.5498046875,
        1.55078125,
        1.5400390625,
        1.5537109375,
        1.5419921875,
        1.541015625,
        1.53515625,
        1.544921875,
        1.5546875,
        1.5556640625,
        1.5546875,
        1.5634765625,
        1.556640625,
        1.5478515625,
        1.548828125,
        1.55859375,
        1.5595703125,
        1.556640625,
        1.57421875,
        1.5947265625,
        1.583984375,
        1.583984375,
        1.5732421875,
        1.5400390625,
        1.5947265625,
        1.5693359375,
        1.5166015625,
        1.5390625,
        1.6240234375,
        1.72265625,
        1.5419921875,
        1.5263671875,
        2.0478515625,
        1.4873046875,
        1.623046875,
        2.0283203125,
        1.697265625,
        1.65478515625,
        1.64697265625,
        1.9599609375,
        1.70263671875,
        1.88916015625,
        1.77001953125,
        1.98583984375,
        2.171875,
        2.2177734375,
        2.07177734375,
        1.939453125,
        1.9521484375,
        2.0224609375,
        2.14794921875,
        1.7490234375,
        1.79052734375,
        1.880859375,
        1.90380859375,
        1.77001953125,
        1.5458984375,
        1.54296875,
        1.546875,
        1.541015625,
        1.5380859375,
        1.55078125,
        1.5400390625,
        2.0068359375,
        2.10791015625,
        2.346923828125,
        2.385498046875,
        2.378662109375,
        2.421142578125,
        2.410400390625,
        2.445556640625,
        2.4658203125,
        2.44140625,
        2.53466796875,
        2.552001953125,
        2.5457763671875,
        2.591552734375,
        2.575439453125,
        2.57666015625,
        2.4732666015625,
        2.499755859375,
        2.5333251953125,
        2.516357421875,
        2.5032958984375,
        2.5081787109375,
        2.5335693359375,
        2.5350341796875,
        2.552490234375,
        2.516845703125,
        2.381103515625,
        2.397705078125,
        2.528076171875,
        2.5269775390625,
        2.5205078125,
        2.4959716796875,
        2.5010986328125,
        2.507568359375,
        2.49853515625,
        2.478759765625,
        2.4857177734375,
        2.503662109375,
        2.4969482421875,
        2.4871826171875,
        2.380126953125,
        2.390625,
        2.50244140625,
        2.5201416015625,
        2.470703125,
        2.5069580078125,
        2.522216796875,
        2.517578125,
        2.515869140625,
        2.46630859375,
        2.4962158203125,
        2.37646484375,
        1.568359375,
        1.568359375,
        1.5830078125,
        1.5576171875,
        1.5546875,
        1.5791015625,
        1.5703125,
        1.572265625,
        1.580078125,
        1.578125,
        1.57421875,
        1.5556640625,
        1.5556640625,
        1.5556640625,
        1.548828125,
        1.5478515625,
        1.5673828125,
        1.55859375,
        1.5673828125,
        1.55859375,
        1.5556640625,
        1.552734375,
        1.5556640625,
        1.5390625,
        1.5361328125,
        1.5341796875,
        1.5224609375,
        1.544921875,
        1.533203125,
        1.5390625,
        1.5390625,
        1.5419921875,
        1.5361328125,
        1.537109375,
        1.525390625,
        1.5302734375,
        1.5322265625,
        1.5341796875,
        1.521484375,
        1.5283203125,
        1.5390625,
        1.5283203125,
        1.521484375,
        1.53515625,
        1.5322265625,
        1.583984375,
        1.8056640625,
        1.931640625,
        1.8837890625,
        1.87744140625,
        1.70947265625,
        1.7734375,
        1.82568359375,
        2.05810546875,
        1.9658203125,
        1.953125,
        1.8974609375,
        1.908203125,
        1.79443359375,
        1.7978515625,
        1.74853515625,
        1.751953125,
        1.67138671875,
        1.64208984375,
        2.271484375,
        3.8046875,
        2.7275390625,
        3.345703125,
        3.625,
        1.548828125,
        1.52734375,
        1.5390625,
        1.56640625,
        1.5654296875,
        1.59375,
        1.57421875,
        1.5703125,
        1.564453125,
        1.55859375,
        1.5478515625,
        1.55078125,
        1.5546875,
        1.5390625,
        1.5595703125,
        1.548828125,
        1.5458984375,
        1.54296875,
        1.537109375,
        1.5439453125,
        1.5380859375,
        1.52734375,
        1.5439453125,
        1.546875,
        1.5439453125,
        1.5419921875,
        1.5419921875,
        1.54296875,
        1.537109375,
        1.537109375,
        1.541015625,
        1.5400390625,
        1.54296875,
        1.53125,
        1.533203125,
        1.5263671875,
        1.5458984375,
        1.541015625,
        1.54296875,
        1.53515625,
        1.54296875,
        1.5361328125,
        1.5361328125,
        1.5361328125,
        1.5380859375,
        1.5380859375,
        1.5390625,
        1.5390625,
        1.5380859375,
        1.533203125,
        1.53515625,
        1.5419921875,
        1.5400390625,
        1.53515625,
        1.548828125,
        1.5283203125,
        1.5458984375,
        1.5517578125,
        1.546875,
        1.537109375,
        1.5400390625,
        1.5302734375,
        1.5283203125,
        1.5302734375,
        1.537109375,
        1.533203125,
        1.537109375,
        1.5361328125,
        1.5302734375,
        1.5283203125,
        1.5205078125,
        1.5400390625,
        1.533203125,
        1.5302734375,
        1.533203125,
        1.53125,
        1.53515625,
        1.537109375,
        1.5458984375,
        1.53515625,
        1.5361328125,
        1.537109375,
        1.529296875,
        1.53515625,
        1.53515625,
        1.5380859375,
        1.54296875,
        1.544921875,
        1.5263671875,
        1.541015625,
        1.552734375,
        1.5498046875,
        1.541015625,
        1.5439453125,
        1.53515625,
        1.544921875,
        1.5546875,
        1.56640625,
        1.568359375,
        1.5703125,
        1.5595703125,
        1.56640625,
        1.5810546875,
        1.54296875,
        1.568359375,
        1.5595703125,
        1.5625,
        1.5830078125,
        1.517578125,
        1.505859375,
        1.5380859375,
        1.4716796875,
        1.4990234375,
        1.4931640625,
        1.5029296875,
        3.68359375,
        3.794921875,
        1.466796875,
        1.71484375,
        1.9228515625,
        1.5625,
        2.890625,
        3.775390625,
        2.591796875,
        1.83154296875,
        1.86328125,
        1.8525390625,
        1.88232421875,
        1.90625,
        1.9150390625,
        2.06201171875,
        1.9267578125,
        1.9814453125,
        2.0458984375,
        2.0751953125,
        2.15625,
        2.12939453125,
        2.3154296875,
        1.5234375,
        1.5263671875,
        1.5361328125,
        1.5361328125,
        1.537109375,
        1.5439453125,
        1.533203125,
        1.5419921875,
        1.533203125,
        1.5302734375,
        1.537109375,
        1.5361328125,
        1.521484375,
        2.333740234375,
        2.31982421875,
        2.353759765625,
        2.4461669921875,
        2.452392578125,
        2.444091796875,
        2.4609375,
        2.46826171875,
        2.4871826171875,
        2.4395751953125,
        2.4439697265625,
        2.4888916015625,
        2.5609130859375,
        2.5828857421875,
        2.52490234375,
        2.509765625,
        2.545654296875,
        2.505859375,
        2.546630859375,
        2.47607421875,
        2.4881591796875,
        2.460693359375,
        2.4434814453125,
        2.5245361328125,
        2.44384765625,
        2.4349365234375,
        2.4205322265625,
        2.4136962890625,
        2.3883056640625,
        2.3333740234375,
        2.3990478515625,
        2.4097900390625,
        2.38134765625,
        2.36474609375,
        2.395263671875,
        2.393310546875,
        2.3516845703125,
        2.3623046875,
        2.4530029296875,
        2.4329833984375,
        2.4404296875,
        2.5179443359375,
        2.51513671875,
        2.590576171875,
        2.55712890625,
        2.5250244140625,
        2.4554443359375,
        2.421875,
        1.8623046875,
        1.5712890625,
        1.5810546875,
        1.55859375,
        1.5556640625,
        1.5712890625,
        1.5849609375,
        1.572265625,
        1.5859375,
        1.5703125,
        1.5849609375,
        1.560546875,
        1.552734375,
        1.5537109375,
        1.5390625,
        1.546875,
        1.5654296875,
        1.5634765625,
        1.552734375,
        1.5625,
        1.55078125,
        1.548828125,
        1.560546875,
        1.53515625,
        1.5322265625,
        1.541015625,
        1.53515625,
        1.541015625,
        1.5234375,
        1.5244140625,
        1.533203125,
        1.5302734375,
        1.5234375,
        1.525390625,
        1.5146484375,
        1.52734375,
        1.529296875,
        1.521484375,
        1.5185546875,
        1.52734375,
        1.5234375,
        1.5283203125,
        1.533203125,
        1.52734375,
        1.5302734375,
        1.54296875,
        1.5244140625,
        1.521484375,
        1.5322265625,
        1.52734375,
        1.537109375,
        1.521484375,
        1.591796875,
        1.8359375,
        1.8056640625,
        1.8681640625,
        1.830078125,
        1.74072265625,
        1.76953125,
        1.8974609375,
        1.8994140625,
        1.8916015625,
        1.86767578125,
        1.95361328125,
        1.9462890625,
        1.81689453125,
        1.7568359375,
        1.73583984375,
        1.72119140625,
        1.68408203125,
        1.68212890625,
        1.60791015625,
        3.779296875,
        1.5634765625,
        1.5224609375,
        3.607421875,
        1.5078125,
        1.525390625,
        1.5712890625,
        1.5986328125,
        1.5703125,
        1.576171875,
        1.58203125,
        1.548828125,
        1.552734375,
        1.5390625,
        1.5595703125,
        1.552734375,
        1.5458984375,
        1.546875,
        1.552734375,
        1.546875,
        1.5302734375,
        1.5400390625,
        1.537109375,
        1.5400390625,
        1.5498046875,
        1.5498046875,
        1.5576171875,
        1.55078125,
        1.55859375,
        1.54296875,
        1.5400390625,
        1.5458984375,
        1.5458984375,
        1.5390625,
        1.533203125,
        1.5498046875,
        1.5498046875,
        1.546875,
        1.552734375,
        1.5517578125,
        1.546875,
        1.548828125,
        1.5419921875,
        1.544921875,
        1.537109375,
        1.552734375,
        1.548828125,
        1.546875,
        1.5517578125,
        1.54296875,
        1.541015625,
        1.5439453125,
        1.537109375,
        1.541015625,
        1.5400390625,
        1.5419921875,
        1.546875,
        1.546875,
        1.544921875,
        1.5439453125,
        1.5380859375,
        1.541015625,
        1.5322265625,
        1.5458984375,
        1.54296875,
        1.5439453125,
        1.5478515625,
        1.5439453125,
        1.556640625,
        1.55078125,
        1.5625,
        1.533203125,
        1.54296875,
        1.5439453125,
        1.5380859375,
        1.5400390625,
        1.5302734375,
        1.54296875,
        1.5546875,
        1.546875,
        1.537109375,
        1.53515625,
        1.5390625,
        1.5615234375,
        1.5673828125,
        1.56640625,
        1.5732421875,
        1.5693359375,
        1.5693359375,
        1.5693359375,
        1.5615234375,
        1.56640625,
        1.5478515625,
        1.556640625,
        1.5595703125,
        1.5654296875,
        1.5517578125,
        1.55859375,
        1.541015625,
        1.541015625,
        1.5732421875,
        1.5234375,
        1.484375,
        1.5498046875,
        1.4677734375,
        1.474609375,
        1.5419921875,
        2.654296875,
        1.4599609375,
        1.4560546875,
        1.462890625,
        1.4580078125,
        1.45703125,
        1.46875,
        1.5322265625,
        1.4560546875,
        1.45703125,
        1.5166015625,
        1.546875,
        1.6259765625,
        1.607421875,
        1.5673828125,
        1.5400390625,
        1.541015625,
        1.552734375,
        1.482421875,
        1.505859375,
        1.521484375,
        1.513671875,
        1.5244140625,
        1.5166015625,
        1.525390625,
        1.5263671875,
        1.5361328125,
        1.5263671875,
        1.525390625,
        1.521484375,
        1.5244140625,
        1.5244140625,
        1.5302734375,
        1.52734375,
        1.5166015625,
        1.521484375,
        2.349365234375,
        2.3408203125,
        2.385986328125,
        2.380859375,
        2.386962890625,
        2.414794921875,
        2.45947265625,
        2.48193359375,
        2.44140625,
        2.5599365234375,
        2.62353515625,
        2.540771484375,
        2.4908447265625,
        2.4761962890625,
        2.6513671875,
        2.7247314453125,
        2.5159912109375,
        2.521484375,
        2.511474609375,
        2.5169677734375,
        2.4652099609375,
        2.467529296875,
        2.459716796875,
        2.4229736328125,
        2.432861328125,
        2.4102783203125,
        2.4027099609375,
        2.422119140625,
        2.49462890625,
        2.46533203125,
        2.418701171875,
        2.416259765625,
        2.466552734375,
        2.45703125,
        2.464111328125,
        2.4608154296875,
        2.4598388671875,
        2.4652099609375,
        2.4462890625,
        2.446044921875,
        2.4381103515625,
        2.5457763671875,
        2.5137939453125,
        2.552490234375,
        2.5631103515625,
        2.5430908203125,
        2.52880859375,
        2.73681640625,
        2.46728515625,
        2.41845703125,
        1.5517578125,
        1.5673828125,
        1.568359375,
        1.5810546875,
        1.564453125,
        1.580078125,
        1.5771484375,
        1.572265625,
        1.5634765625,
        1.564453125,
        1.5673828125,
        1.5634765625,
        1.5478515625,
        1.5537109375,
        1.5556640625,
        1.5537109375,
        1.546875,
        1.53125,
        1.52734375,
        1.544921875,
        1.5400390625,
        1.5341796875,
        1.5283203125,
        1.5302734375,
        1.5107421875,
        1.51953125,
        1.5078125,
        1.494140625,
        1.4951171875,
        1.4931640625,
        1.484375,
        1.4921875,
        1.49609375,
        1.494140625,
        1.52734375,
        1.5234375,
        1.486328125,
        1.51953125,
        1.5947265625,
        1.5185546875,
        1.470703125,
        1.4599609375,
        1.45703125,
        1.451171875,
        1.4560546875,
        1.451171875,
        1.453125,
        1.466796875,
        1.44921875,
        1.6640625,
        1.5947265625,
        1.7451171875,
        1.8447265625,
        1.51953125,
        1.5615234375,
        1.650390625,
        1.5625,
        1.5634765625,
        1.541015625,
        1.5419921875,
        1.544921875,
        1.576171875,
        1.5791015625,
        1.564453125,
        1.5498046875,
        1.5615234375,
        1.544921875,
        1.552734375,
        1.5556640625,
        1.5498046875,
        1.5498046875,
        1.5400390625,
        1.5625,
        1.55859375,
        1.5546875,
        1.5625,
        1.556640625,
        1.5634765625,
        1.607421875,
        1.5498046875,
        1.548828125,
        1.552734375,
        1.564453125,
        1.55859375,
        1.5615234375,
        1.5595703125,
        1.560546875,
        1.56640625,
        1.5537109375,
        1.5576171875,
        1.55859375,
        1.5556640625,
        1.5595703125,
        1.67578125,
        1.625,
        1.5625,
        1.55859375,
        1.5615234375,
        1.5517578125,
        1.5537109375,
        1.5478515625,
        1.5654296875,
        1.5595703125,
        1.5478515625,
        1.5595703125,
        1.5546875,
        1.5537109375,
        1.5517578125,
        1.564453125,
        1.556640625,
        1.546875,
        1.5556640625,
        1.5615234375,
        1.552734375,
        1.556640625,
        1.556640625,
        1.55078125,
        1.5595703125,
        1.5595703125,
        1.552734375,
        1.552734375,
        1.5576171875,
        1.5703125,
        1.546875,
        1.544921875,
        1.5498046875,
        1.5400390625,
        1.548828125,
        1.55078125,
        1.5498046875,
        1.5419921875,
        1.537109375,
        1.5341796875,
        1.544921875,
        1.533203125,
        1.53515625,
        1.5517578125,
        1.5400390625,
        1.546875,
        1.5283203125,
        1.51953125,
        1.5078125,
        1.4990234375,
        1.505859375,
        1.505859375,
        1.4677734375,
        1.466796875,
        1.484375,
        1.517578125,
        1.5,
        1.5205078125,
        1.5234375,
        1.6826171875,
        1.849609375,
        1.828125,
        2.15234375,
        1.6201171875,
        1.7109375,
        1.7275390625,
        1.7646484375,
        1.5,
        1.517578125,
        1.6943359375,
        1.45703125,
        1.4638671875,
        1.458984375,
        1.4580078125,
        1.591796875,
        1.505859375,
        1.5322265625,
        1.4892578125,
        1.5146484375,
        1.5380859375,
        1.533203125,
        1.529296875,
        1.537109375,
        1.5234375,
        1.525390625,
        1.5283203125,
        1.53515625,
        1.5380859375,
        1.5244140625,
        1.5283203125,
        1.5244140625,
        1.5263671875,
        1.52734375,
        1.51953125,
        1.509765625,
        1.5166015625,
        1.5146484375,
        1.5322265625,
        1.53515625,
        1.5322265625,
        1.5322265625,
        1.53515625,
        1.52734375,
        1.54296875,
        1.53125,
        1.5263671875,
        1.5361328125,
        1.53515625,
        1.521484375,
        1.51953125,
        1.5205078125,
        1.5224609375,
        2.3681640625,
        2.354248046875,
        2.4228515625,
        2.42236328125,
        2.372314453125,
        2.385986328125,
        2.376220703125,
        2.399169921875,
        2.4130859375,
        2.422119140625,
        2.468994140625,
        2.4970703125,
        2.47021484375,
        2.474853515625,
        2.5008544921875,
        2.5693359375,
        2.546875,
        2.5421142578125,
        2.486328125,
        2.4439697265625,
        2.466552734375,
        2.495849609375,
        2.391845703125,
        2.4359130859375,
        2.4346923828125,
        2.422607421875,
        2.4310302734375,
        2.44873046875,
        2.4779052734375,
        2.4503173828125,
        2.4588623046875,
        2.41015625,
        2.406005859375,
        2.523193359375,
        2.4827880859375,
        2.9931640625,
        2.802978515625,
        2.763671875,
        2.6929931640625,
        2.61376953125,
        2.647705078125,
        3.07080078125,
        2.71875,
        2.730224609375,
        2.7513427734375,
        2.6806640625,
        2.7293701171875,
        2.6861572265625,
        2.8453369140625,
        2.8900146484375,
        2.8424072265625,
        2.90478515625,
        2.7625732421875,
        2.8189697265625,
        2.7784423828125,
        2.7730712890625,
        2.7303466796875,
        2.751708984375,
        2.767333984375,
        2.8333740234375,
        2.78662109375,
        2.72265625,
        2.7642822265625,
        2.76416015625,
        2.947998046875,
        2.4215087890625,
        2.5283203125,
        2.4981689453125,
        2.505126953125,
        2.47705078125,
        2.627685546875,
        2.45361328125,
        2.44677734375,
        2.432861328125,
        2.45458984375,
        1.5302734375,
        1.5517578125,
        1.56640625,
        1.5771484375,
        1.5712890625,
        1.5859375,
        1.546875,
        1.578125,
        1.56640625,
        1.572265625,
        1.5625,
        1.568359375,
        1.54296875,
        1.5458984375,
        1.5380859375,
        1.54296875,
        1.5546875,
        1.55078125,
        1.552734375,
        1.5478515625,
        1.5400390625,
        1.5458984375,
        1.5341796875,
        1.5380859375,
        1.54296875,
        1.53515625,
        1.529296875,
        1.53125,
        1.5361328125,
        1.5322265625,
        1.5380859375,
        1.533203125,
        1.5302734375,
        1.529296875,
        1.5380859375,
        1.5205078125,
        1.5341796875,
        1.5224609375,
        1.5302734375,
        1.5263671875,
        1.5390625,
        1.52734375,
        1.529296875,
        1.5390625,
        1.5341796875,
        1.5185546875,
        1.52734375,
        1.529296875,
        1.5341796875,
        1.5283203125,
        1.5244140625,
        1.52734375,
        1.5263671875,
        1.52734375,
        1.529296875,
        1.5166015625,
        1.525390625,
        1.5224609375,
        1.5224609375,
        1.529296875,
        1.51171875,
        1.51953125,
        1.5244140625,
        1.5146484375,
        1.521484375,
        1.51953125,
        1.5146484375,
        1.5185546875,
        1.5302734375,
        1.5205078125,
        1.51953125,
        1.515625,
        1.5185546875,
        1.5205078125,
        1.529296875,
        1.5166015625,
        1.5087890625,
        1.51171875,
        1.5166015625,
        1.5244140625,
        1.5244140625,
        1.5224609375,
        1.5224609375,
        1.5146484375,
        1.5263671875,
        1.5263671875,
        1.517578125,
        1.525390625,
        1.5283203125,
        1.533203125,
        1.53515625,
        1.5244140625,
        1.5341796875,
        1.521484375,
        1.53125,
        1.52734375,
        1.529296875,
        1.5224609375,
        1.5302734375,
        1.533203125,
        1.5322265625,
        1.5361328125,
        1.5263671875,
        1.529296875,
        1.5224609375,
        1.5302734375,
        1.5234375,
        1.5244140625,
        1.5234375,
        1.537109375,
        1.525390625,
        1.5283203125,
        1.5224609375,
        1.51953125,
        1.515625,
        1.513671875,
        1.5087890625,
        1.5244140625,
        1.5146484375,
        1.515625,
        1.513671875,
        1.5126953125,
        1.513671875,
        1.5166015625,
        1.50390625,
        1.5185546875,
        1.5009765625,
        1.5087890625,
        1.5107421875,
        1.5107421875,
        1.5078125,
        1.5107421875,
        1.494140625,
        1.494140625,
        1.4970703125,
        1.4931640625,
        1.51953125,
        1.5234375,
        1.521484375,
        1.548828125,
        1.5595703125,
        1.47265625,
        1.4892578125,
        1.455078125,
        1.4599609375,
        1.7353515625,
        1.458984375,
        1.4609375,
        1.455078125,
        1.451171875,
        1.4482421875,
        1.4501953125,
        1.4521484375,
        1.90625,
        3.8125,
        2.0576171875,
        1.7802734375,
        1.8271484375,
        2.3525390625,
        1.54296875,
        1.498046875,
        1.494140625,
        1.578125,
        1.494140625,
        1.544921875,
        1.4951171875,
        1.5625,
        1.5908203125,
        1.59375,
        1.576171875,
        1.580078125,
        1.5673828125,
        1.548828125,
        1.5615234375,
        1.556640625,
        1.5576171875,
        1.548828125,
        1.55859375,
        1.5693359375,
        1.5771484375,
        1.5703125,
        1.56640625,
        1.5673828125,
        1.5595703125,
        1.5556640625,
        1.55859375,
        1.5625,
        1.5625,
        1.5673828125,
        1.564453125,
        1.5654296875,
        1.552734375,
        1.552734375,
        1.55078125,
        1.5576171875,
        1.552734375,
        1.55078125,
        1.552734375,
        1.5400390625,
        1.5537109375,
        1.5537109375,
        1.55859375,
        1.5625,
        1.552734375,
        1.5673828125,
        1.5625,
        1.560546875,
        1.568359375,
        1.55078125,
        1.56640625,
        1.5654296875,
        1.568359375,
        1.568359375,
        1.568359375,
        1.572265625,
        1.564453125,
        1.5654296875,
        1.5595703125,
        1.5732421875,
        1.5634765625,
        1.564453125,
        1.556640625,
        1.568359375,
        1.56640625,
        1.5634765625,
        1.5595703125,
        1.5673828125,
        1.564453125,
        1.56640625,
        1.5693359375,
        1.572265625,
        1.56640625,
        1.5703125,
        1.5693359375,
        1.552734375,
        1.5556640625,
        1.5654296875,
        1.5595703125,
        1.548828125,
        1.5546875,
        1.5478515625,
        1.5439453125,
        1.5576171875,
        1.54296875,
        1.5458984375,
        1.5478515625,
        1.54296875,
        1.537109375,
        1.5419921875,
        1.546875,
        1.5537109375,
        1.552734375,
        1.53125,
        1.548828125,
        1.55078125,
        1.5390625,
        1.5361328125,
        1.5078125,
        1.5478515625,
        1.537109375,
        1.5576171875,
        1.5478515625,
        1.552734375,
        1.498046875,
        1.53125,
        1.556640625,
        1.5458984375,
        1.58203125,
        1.7734375,
        1.521484375,
        1.7138671875,
        1.76171875,
        1.8369140625,
        2.1171875,
        1.462890625,
        1.4619140625,
        2.1787109375,
        1.5966796875,
        1.4658203125,
        1.611328125,
        1.498046875,
        1.4658203125,
        1.462890625,
        1.4677734375,
        1.6162109375,
        1.8095703125,
        1.4677734375,
        1.6826171875,
        1.927734375,
        1.4638671875,
        1.4677734375,
        1.4736328125,
        1.6630859375,
        1.5048828125,
        1.5576171875,
        1.5322265625,
        1.5126953125,
        1.5126953125,
        1.51953125,
        1.544921875,
        1.541015625,
        1.5400390625,
        1.5439453125,
        1.5390625,
        1.537109375,
        1.541015625,
        1.54296875,
        1.5361328125,
        1.537109375,
        1.5361328125,
        1.5302734375,
        1.537109375,
        1.537109375,
        1.5390625,
        1.537109375,
        1.53515625,
        1.54296875,
        1.525390625,
        1.5380859375,
        1.544921875,
        1.5361328125,
        1.546875,
        1.5439453125,
        1.5419921875,
        1.5390625,
        2.41357421875,
        2.40283203125,
        2.40625,
        2.42626953125,
        2.42578125,
        2.4769287109375,
        2.449951171875,
        2.392822265625,
        2.572265625,
        2.49658203125,
        2.49560546875,
        2.5411376953125,
        2.607421875,
        2.6195068359375,
        2.549072265625,
        2.7373046875,
        2.8719482421875,
        2.5322265625,
        2.5345458984375,
        2.5113525390625,
        2.5009765625,
        2.5133056640625,
        2.5479736328125,
        2.5262451171875,
        2.497314453125,
        2.4888916015625,
        2.4324951171875,
        2.4364013671875,
        2.4456787109375,
        2.446533203125,
        2.4544677734375,
        2.4476318359375,
        2.4405517578125,
        2.459716796875,
        2.48193359375,
        2.4703369140625,
        2.4344482421875,
        2.4208984375,
        2.4669189453125,
        2.481201171875,
        2.5347900390625,
        2.5250244140625,
        2.603515625,
        2.5576171875,
        2.52880859375,
        2.4671630859375,
        2.5211181640625,
        2.412109375,
        1.548828125,
        1.56640625,
        1.568359375,
        1.580078125,
        1.5654296875,
        1.55078125,
        1.580078125,
        1.5771484375,
        1.5712890625,
        1.5810546875,
        1.572265625,
        1.56640625,
        1.5498046875,
        1.5439453125,
        1.5498046875,
        1.5390625,
        1.5400390625,
        1.5341796875,
        1.5595703125,
        1.55078125,
        1.5390625,
        1.5517578125,
        1.5361328125,
        1.5390625,
        1.5517578125,
        1.544921875,
        1.5361328125,
        1.546875,
        1.53515625,
        1.533203125,
        1.533203125,
        1.53515625,
        1.5341796875,
        1.533203125,
        1.5400390625,
        1.541015625,
        1.5224609375,
        1.541015625,
        1.5283203125,
        1.5263671875,
        1.5361328125,
        1.5302734375,
        1.52734375,
        1.5263671875,
        1.5283203125,
        1.525390625,
        1.5234375,
        1.5126953125,
        1.5224609375,
        1.52734375,
        1.5244140625,
        1.537109375,
        1.53125,
        1.5390625,
        1.5224609375,
        1.5361328125,
        1.52734375,
        1.5166015625,
        2.17138671875,
        2.0966796875,
        2.06005859375,
        2.0244140625,
        2.25634765625,
        2.2373046875,
        2.07177734375,
        2.14306640625,
        2.15380859375,
        2.1552734375,
        1.98486328125,
        1.90576171875,
        1.8798828125,
        1.90234375,
        1.86767578125,
        2.0244140625,
        2.025390625,
        1.80322265625,
        2.11572265625,
        2.078125,
        2.359375,
        2.20703125,
        3.814453125,
        2.794921875,
        1.6611328125,
        1.59765625,
        1.513671875,
        1.5341796875,
        1.5771484375,
        1.583984375,
        1.546875,
        1.546875,
        1.5673828125,
        1.615234375,
        1.5615234375,
        1.5556640625,
        1.5576171875,
        1.556640625,
        1.552734375,
        1.5498046875,
        1.5419921875,
        1.552734375,
        1.546875,
        1.5341796875,
        1.5498046875,
        1.5537109375,
        1.5498046875,
        1.5546875,
        1.5546875,
        1.5478515625,
        1.5498046875,
        1.5595703125,
        1.546875,
        1.544921875,
        1.583984375,
        1.5576171875,
        1.5654296875,
        1.55078125,
        1.55078125,
        1.55078125,
        1.5478515625,
        1.5517578125,
        1.546875,
        1.5546875,
        1.55078125,
        1.5546875,
        1.56640625,
        1.54296875,
        1.548828125,
        1.546875,
        1.544921875,
        1.54296875,
        1.537109375,
        1.5390625,
        1.537109375,
        1.544921875,
        1.5478515625,
        1.5439453125,
        1.5361328125,
        1.5400390625,
        1.541015625,
        1.54296875,
        1.5517578125,
        1.548828125,
        1.5400390625,
        1.546875,
        1.556640625,
        1.537109375,
        1.541015625,
        1.54296875,
        1.544921875,
        1.55078125,
        1.55078125,
        1.5341796875,
        1.5263671875,
        1.5439453125,
        1.5498046875,
        1.5498046875,
        1.5517578125,
        1.533203125,
        1.53515625,
        1.5537109375,
        1.5419921875,
        1.55078125,
        1.54296875,
        1.546875,
        1.5498046875,
        1.5615234375,
        1.548828125,
        1.55078125,
        1.5390625,
        1.5556640625,
        1.548828125,
        1.54296875,
        1.546875,
        1.5556640625,
        1.5517578125,
        1.552734375,
        1.564453125,
        1.5625,
        1.55859375,
        1.548828125,
        1.5537109375,
        1.5380859375,
        1.5419921875,
        1.53125,
        1.5498046875,
        1.53125,
        1.5361328125,
        1.5478515625,
        1.5615234375,
        1.5517578125,
        1.578125,
        1.5673828125,
        1.5771484375,
        1.5859375,
        1.58203125,
        1.59765625,
        1.5361328125,
        1.513671875,
        1.5283203125,
        1.9375,
        2.23046875,
        3.744140625,
        1.68115234375,
        3.7890625,
        3.814453125,
        3.80859375,
        3.810546875,
        1.7587890625,
        1.8125,
        1.80908203125,
        1.91650390625,
        1.95556640625,
        2.0947265625,
        2.1455078125,
        2.09375,
        2.28564453125,
        2.021484375,
        2.02587890625,
        2.12060546875,
        2.02978515625,
        1.96240234375,
        1.984375,
        2.185546875,
        1.79296875,
        1.5615234375,
        1.544921875,
        1.5361328125,
        1.5322265625,
        1.5419921875,
        1.5478515625,
        1.5419921875,
        1.5458984375,
        1.5439453125,
        1.5537109375,
        2.341796875,
        2.373046875,
        2.392822265625,
        2.379150390625,
        2.42529296875,
        2.421630859375,
        2.48046875,
        2.457275390625,
        2.490966796875,
        2.464599609375,
        2.4820556640625,
        2.521728515625,
        2.5723876953125,
        2.5743408203125,
        2.552734375,
        2.610107421875,
        2.5433349609375,
        2.5087890625,
        2.5546875,
        2.548095703125,
        2.5628662109375,
        2.505126953125,
        2.53662109375,
        2.4990234375,
        2.5643310546875,
        2.4876708984375,
        2.475341796875,
        2.52685546875,
        2.5106201171875,
        2.5089111328125,
        2.6041259765625,
        2.551513671875,
        2.5606689453125,
        2.5423583984375,
        2.54443359375,
        2.55712890625,
        2.5374755859375,
        2.5333251953125,
        2.5245361328125,
        2.499267578125,
        2.4910888671875,
        2.5062255859375,
        2.478515625,
        2.490966796875,
        2.49462890625,
        2.491455078125,
        2.475830078125,
        2.453369140625,
        2.460205078125,
        2.78515625,
        2.2822265625,
        1.6669921875,
        1.578125,
        1.5703125,
        1.5849609375,
        1.5625,
        1.564453125,
        1.58203125,
        1.580078125,
        1.5791015625,
        1.572265625,
        1.572265625,
        1.572265625,
        1.5498046875,
        1.5419921875,
        1.5419921875,
        1.5361328125,
        1.53515625,
        1.5302734375,
        1.5283203125,
        1.55859375,
        1.5439453125,
        1.5302734375,
        1.525390625,
        1.533203125,
        1.5166015625,
        1.537109375,
        1.5341796875,
        1.5263671875,
        1.53125,
        1.53515625,
        1.53125,
        1.5302734375,
        1.5322265625,
        1.5185546875,
        2.05859375,
        1.82958984375,
        2.0517578125,
        2.12548828125,
        1.9306640625,
        1.9375,
        1.81591796875,
        1.8046875,
        1.703125,
        2.0888671875,
        3.54296875,
        1.6357421875,
        1.58203125,
        1.5537109375,
        1.5732421875,
        1.7099609375,
        1.572265625,
        1.556640625,
        1.5556640625,
        1.6884765625,
        1.5703125,
        1.5498046875,
        1.5458984375,
        1.5380859375,
        1.541015625,
        1.53515625,
        1.53515625,
        1.5458984375,
        1.53515625,
        1.5302734375,
        1.53515625,
        1.5458984375,
        1.541015625,
        1.537109375,
        1.537109375,
        1.544921875,
        1.5341796875,
        1.5439453125,
        1.5341796875,
        1.5419921875,
        1.5439453125,
        1.5419921875,
        1.5439453125,
        1.548828125,
        1.5390625,
        1.5380859375,
        1.53125,
        1.5322265625,
        1.5390625,
        1.5400390625,
        1.5380859375,
        1.5390625,
        1.54296875,
        1.54296875,
        1.5458984375,
        1.544921875,
        1.537109375,
        1.55078125,
        1.5517578125,
        1.552734375,
        1.56640625,
        1.55859375,
        1.54296875,
        1.560546875,
        1.5478515625,
        1.54296875,
        1.5517578125,
        1.5439453125,
        1.5283203125,
        1.5556640625,
        1.544921875,
        1.5546875,
        1.55078125,
        1.5615234375,
        1.5908203125,
        1.6337890625,
        1.6982421875,
        1.76806640625,
        1.767578125,
        1.7998046875,
        1.919921875,
        1.9873046875,
        1.97265625,
        2.00341796875,
        1.96875,
        1.9775390625,
        1.9501953125,
        1.91162109375,
        1.908203125,
        1.92724609375,
        1.87451171875,
        1.5419921875,
        2.166015625,
        2.348388671875,
        2.345703125,
        2.397705078125,
        2.427978515625,
        2.455810546875,
        2.5147705078125,
        2.475830078125,
        2.441162109375,
        2.45654296875,
        2.501708984375,
        2.54541015625,
        2.5205078125,
        2.53076171875,
        2.521484375,
        2.537841796875,
        2.57421875,
        2.546875,
        2.5166015625,
        2.50634765625,
        2.510498046875,
        2.50390625,
        2.47021484375,
        2.470947265625,
        2.4677734375,
        2.465087890625,
        2.81494140625,
        2.516845703125,
        1.57421875,
        1.55859375,
        1.537109375,
        1.56640625,
        1.564453125,
        1.5576171875,
        1.5791015625,
        1.537109375,
        1.5478515625,
        1.533203125,
        1.5302734375,
        1.5234375,
        1.521484375,
        1.51953125,
        1.517578125,
        1.953125,
        1.89306640625,
        1.9873046875,
        2.029296875,
        1.89990234375,
        1.8896484375,
        1.86962890625,
        1.77197265625,
        1.78466796875,
        1.79296875,
        1.6728515625,
        1.5791015625,
        1.58203125,
        1.5439453125,
        1.5615234375,
        1.552734375,
        1.5498046875,
        1.5556640625,
        1.544921875,
        1.5341796875,
        1.5625,
        1.5556640625,
        1.5517578125,
        1.5419921875,
        1.5390625,
        1.5498046875,
        1.5478515625,
        1.5498046875,
        1.5498046875,
        1.54296875,
        1.5439453125,
        1.5322265625,
        1.5576171875,
        1.548828125,
        1.5380859375,
        1.5791015625,
        1.5390625,
        1.541015625,
        1.53515625,
        1.5322265625,
        1.5517578125,
        1.5380859375,
        1.537109375,
        1.5400390625,
        1.5234375,
        1.533203125,
        1.5380859375,
        1.5302734375,
        1.53515625,
        1.525390625,
        1.5263671875,
        1.5341796875,
        1.52734375,
        1.5458984375,
        1.5390625,
        1.5166015625,
        1.5244140625,
        1.5166015625,
        1.53125,
        1.5205078125,
        1.5458984375,
        1.572265625,
        1.537109375,
        1.5859375,
        1.5927734375,
        1.697265625,
        1.712890625,
        1.76123046875,
        1.78515625,
        1.87158203125,
        1.91259765625,
        1.955078125,
        1.99951171875,
        2.04736328125,
        2.02734375,
        2.02685546875,
        1.93896484375,
        1.9384765625,
        1.87646484375,
        1.93505859375,
        1.5361328125,
        1.5361328125,
        1.5234375,
        1.5849609375,
        2.2998046875,
        2.333251953125,
        2.35205078125,
        2.427734375,
        2.500244140625,
        2.48974609375,
        2.48828125,
        2.527099609375,
        2.517822265625,
        2.520263671875,
        2.51416015625,
        2.505615234375,
        2.51123046875,
        2.591552734375,
        2.555908203125,
        2.5771484375,
        2.725830078125,
        2.70556640625,
        2.5313720703125,
        2.50439453125,
        2.5362548828125,
        2.4989013671875,
        2.462646484375,
        2.466796875,
        2.48388671875,
        2.5103759765625,
        2.4942626953125,
        2.4984130859375,
        2.4991455078125,
        2.4866943359375,
        2.473388671875,
        2.47314453125,
        2.57080078125,
        2.44140625,
        2.43603515625,
        2.32666015625,
        1.5732421875,
        1.56640625,
        1.5615234375,
        1.5654296875,
        1.5673828125,
        1.57421875,
        1.5615234375,
        1.5634765625,
        1.5576171875,
        1.5556640625,
        1.55078125,
        1.53515625,
        1.5439453125,
        1.5322265625,
        1.5390625,
        1.5341796875,
        1.75439453125,
        1.6572265625,
        1.97802734375,
        2.01171875,
        2.00244140625,
        2.0224609375,
        1.9326171875,
        1.87841796875,
        1.8173828125,
        1.7744140625,
        1.771484375,
        1.6796875,
        1.794921875,
        1.55859375,
        1.5546875,
        1.564453125,
        1.5556640625,
        1.546875,
        1.548828125,
        1.5693359375,
        1.5595703125,
        1.56640625,
        1.5615234375,
        1.560546875,
        1.5595703125,
        1.5556640625,
        1.5576171875,
        1.5546875,
        1.5537109375,
        1.552734375,
        1.5546875,
        1.5458984375,
        1.5595703125,
        1.5517578125,
        1.5498046875,
        1.5634765625,
        1.55859375,
        1.568359375,
        1.5654296875,
        1.55078125,
        1.548828125,
        1.5595703125,
        1.564453125,
        1.5556640625,
        1.560546875,
        1.56640625,
        1.5576171875,
        1.560546875,
        1.5537109375,
        1.544921875,
        1.541015625,
        1.544921875,
        1.5400390625,
        1.54296875,
        1.53515625,
        1.5361328125,
        1.5361328125,
        1.5390625,
        1.5400390625,
        1.5576171875,
        1.5537109375,
        1.5634765625,
        1.5654296875,
        1.55859375,
        1.5302734375,
        1.5185546875,
        1.5341796875,
        1.5400390625,
        1.509765625,
        1.51953125,
        1.9208984375,
        1.8779296875,
        2.19140625,
        3.751953125,
        1.48046875,
        1.53515625,
        1.732421875,
        1.4599609375,
        1.533203125,
        1.4619140625,
        1.4931640625,
        1.5068359375,
        1.525390625,
        1.513671875,
        1.513671875,
        2.17578125,
        2.3076171875,
        2.35986328125,
        2.38037109375,
        2.45458984375,
        2.47265625,
        2.495361328125,
        2.46044921875,
        2.471435546875,
        2.4990234375,
        2.51416015625,
        2.529541015625,
        2.513427734375,
        2.53857421875,
        2.5367431640625,
        2.4791259765625,
        2.471435546875,
        2.489013671875,
        2.4871826171875,
        2.499755859375,
        2.4964599609375,
        2.51708984375,
        2.506103515625,
        2.5169677734375,
        2.5018310546875,
        2.4588623046875,
        2.4605712890625,
        2.4808349609375,
        2.497314453125,
        2.52392578125,
        2.5372314453125,
        2.5081787109375,
        2.4930419921875,
        2.469482421875,
        2.440185546875,
        2.4818115234375,
        2.429443359375,
        2.401611328125,
        1.630859375,
        1.5615234375,
        1.560546875,
        1.5537109375,
        1.560546875,
        1.552734375,
        1.53515625,
        1.5419921875,
        1.55078125,
        1.5478515625,
        1.529296875,
        1.5244140625,
        1.517578125,
        1.546875,
        1.51953125,
        1.5283203125,
        1.50390625,
        1.5048828125,
        1.4794921875,
        1.50390625,
        1.5234375,
        1.5048828125,
        1.515625,
        1.5234375,
        1.544921875,
        1.724609375,
        1.45703125,
        1.4658203125,
        1.455078125,
        2.2490234375,
        1.890625,
        1.4580078125,
        1.560546875,
        1.501953125,
        1.611328125,
        1.5947265625,
        1.5869140625,
        1.59765625,
        1.58203125,
        1.59765625,
        1.6171875,
        1.5791015625,
        1.564453125,
        1.5615234375,
        1.5615234375,
        1.55859375,
        1.5556640625,
        1.556640625,
        1.5634765625,
        1.55078125,
        1.56640625,
        1.5751953125,
        1.6240234375,
        1.552734375,
        1.5556640625,
        1.587890625,
        1.5791015625,
        1.576171875,
        1.5654296875,
        1.548828125,
        1.5439453125,
        1.5546875,
        1.556640625,
        1.5458984375,
        1.5361328125,
        1.5400390625,
        1.5419921875,
        1.5556640625,
        1.568359375,
        1.56640625,
        1.55078125,
        1.5517578125,
        1.541015625,
        1.5224609375,
        1.50390625,
        1.5029296875,
        1.53125,
        1.5498046875,
        1.986328125,
        1.8916015625,
        1.6943359375,
        1.84375,
        1.458984375,
        1.458984375,
        1.4755859375,
        1.62109375,
        1.53125,
        1.466796875,
        1.4990234375,
        1.69482421875,
        2.207275390625,
        2.34814453125,
        2.380126953125,
        2.431640625,
        2.451171875,
        2.524169921875,
        2.54052734375,
        2.5181884765625,
        2.49658203125,
        2.50732421875,
        2.4434814453125,
        2.486572265625,
        2.535400390625,
        2.5308837890625,
        2.5357666015625,
        2.5455322265625,
        2.57373046875,
        2.5523681640625,
        2.4771728515625,
        2.4896240234375,
        2.4891357421875,
        2.4091796875,
        2.5941162109375,
        3.814453125,
        3.41943359375,
        3.448486328125,
        2.536865234375,
        2.5328369140625,
        2.512939453125,
        2.388427734375,
        2.42578125,
        2.5472412109375,
        2.527587890625,
        2.5234375,
        2.5333251953125,
        2.538818359375,
        2.4991455078125,
        2.5501708984375,
        2.490234375,
        2.42333984375,
        2.377197265625,
        1.5537109375,
        1.5673828125,
        1.5400390625,
        1.552734375,
        1.556640625,
        1.5517578125,
        1.5556640625,
        1.5546875,
        1.552734375,
        1.546875,
        1.546875,
        1.5322265625,
        1.5380859375,
        1.5400390625,
        1.54296875,
        1.5234375,
        1.5146484375,
        1.515625,
        1.5126953125,
        1.5078125,
        1.513671875,
        1.501953125,
        1.5,
        1.5078125,
        1.494140625,
        1.4609375,
        1.6669921875,
        1.69921875,
        1.46484375,
        1.4619140625,
        1.513671875,
        1.6904296875,
        1.60546875,
        1.8359375,
        1.4638671875,
        1.45703125,
        1.5126953125,
        1.6142578125,
        1.5458984375,
        1.52734375,
        1.55859375,
        1.54296875,
        1.5556640625,
        1.5498046875,
        1.5576171875,
        1.5556640625,
        1.5576171875,
        1.560546875,
        1.5693359375,
        1.560546875,
        1.564453125,
        1.5595703125,
        1.560546875,
        1.556640625,
        1.5693359375,
        1.5703125,
        1.5595703125,
        1.5546875,
        1.5556640625,
        1.556640625,
        1.5517578125,
        1.552734375,
        1.548828125,
        1.55078125,
        1.548828125,
        1.55859375,
        1.5517578125,
        1.5693359375,
        1.59765625,
        1.6005859375,
        1.5556640625,
        1.5703125,
        1.568359375,
        1.572265625,
        1.560546875,
        1.5625,
        1.55859375,
        1.5537109375,
        1.552734375,
        1.55859375,
        1.546875,
        1.5595703125,
        1.5595703125,
        1.5556640625,
        1.560546875,
        1.5517578125,
        1.5478515625,
        1.6044921875,
        1.6455078125,
        1.7626953125,
        1.7138671875,
        1.80224609375,
        1.841796875,
        1.8779296875,
        1.8583984375,
        2.02587890625,
        2.0576171875,
        1.984375,
        1.95654296875,
        1.94677734375,
        1.9248046875,
        1.8935546875,
        1.77783203125,
        1.6953125,
        1.5517578125,
        1.86083984375,
        1.943359375,
        2.3583984375,
        2.385986328125,
        2.471923828125,
        3.1358642578125,
        2.5318603515625,
        2.4810791015625,
        2.4915771484375,
        2.4638671875,
        2.4344482421875,
        2.408447265625,
        2.439453125,
        2.368408203125,
        3.0701904296875,
        3.779296875,
        3.546875,
        3.7265625,
        3.520263671875,
        3.1190185546875,
        2.4674072265625,
        2.464111328125,
        2.406982421875,
        2.425537109375,
        2.5921630859375,
        2.481689453125,
        2.5272216796875,
        2.47607421875,
        2.295654296875,
        1.5712890625,
        1.5537109375,
        1.544921875,
        1.564453125,
        1.5576171875,
        1.5859375,
        1.552734375,
        1.5380859375,
        1.54296875,
        1.53125,
        1.7265625,
        1.86962890625,
        2.0068359375,
        2.080078125,
        2.1201171875,
        1.9873046875,
        2.0224609375,
        1.9267578125,
        1.9033203125,
        1.806640625,
        1.841796875,
        1.7939453125,
        1.75732421875,
        1.6474609375,
        1.6572265625,
        1.56640625,
        1.5703125,
        1.5810546875,
        1.5615234375,
        1.5751953125,
        1.5634765625,
        1.55859375,
        1.560546875,
        1.548828125,
        1.5634765625,
        1.5703125,
        1.5732421875,
        1.5654296875,
        1.5654296875,
        1.58203125,
        1.5751953125,
        1.564453125,
        1.564453125,
        1.568359375,
        1.5634765625,
        1.5615234375,
        1.5634765625,
        1.556640625,
        1.5546875,
        1.572265625,
        1.5771484375,
        1.5673828125,
        1.5693359375,
        1.564453125,
        1.5712890625,
        1.57421875,
        1.5732421875,
        1.5673828125,
        1.5751953125,
        1.5673828125,
        1.55078125,
        1.5673828125,
        1.5712890625,
        1.556640625,
        1.5673828125,
        1.552734375,
        1.591796875,
        1.5625,
        1.5517578125,
        1.5361328125,
        1.5625,
        1.5419921875,
        1.5498046875,
        1.529296875,
        1.5302734375,
        1.5439453125,
        1.548828125,
        1.5546875,
        1.5322265625,
        1.537109375,
        1.56640625,
        1.55859375,
        1.5595703125,
        1.5732421875,
        1.5703125,
        1.59375,
        1.5888671875,
        1.671875,
        1.6650390625,
        1.76611328125,
        1.7626953125,
        1.798828125,
        1.81787109375,
        1.96337890625,
        1.95166015625,
        2.025390625,
        2.14501953125,
        2.0869140625,
        2.07958984375,
        2.0849609375,
        1.927734375,
        1.923828125,
        1.79833984375,
        1.55078125,
        1.5458984375,
        1.5458984375,
        1.53125,
        1.75732421875,
        2.294921875,
        2.404541015625,
        2.47412109375,
        2.48095703125,
        2.9515380859375,
        2.603515625,
        2.8662109375,
        2.7320556640625,
        2.771240234375,
        3.4083251953125,
        2.7315673828125,
        2.727783203125,
        2.35400390625,
        2.3951416015625,
        2.37060546875,
        2.4613037109375,
        2.6156005859375,
        3.129150390625,
        2.798828125,
        2.6588134765625,
        2.8433837890625,
        2.8856201171875,
        3.050537109375,
        3.39599609375,
        2.472412109375,
        2.875732421875,
        2.5057373046875,
        2.486328125,
        2.4932861328125,
        2.44580078125,
        2.4287109375,
        2.430908203125,
        2.22314453125,
        1.568359375,
        1.5478515625,
        1.5615234375,
        1.564453125,
        1.5625,
        1.5556640625,
        1.5458984375,
        1.548828125,
        1.533203125,
        1.9296875,
        1.88330078125,
        1.99609375,
        2.052734375,
        2.06298828125,
        2.03271484375,
        2.02880859375,
        1.8984375,
        1.89599609375,
        1.82568359375,
        1.82177734375,
        1.71826171875,
        1.72900390625,
        1.6201171875,
        1.638671875,
        1.5673828125,
        1.5634765625,
        1.5947265625,
        1.5693359375,
        1.576171875,
        1.5732421875,
        1.5771484375,
        1.576171875,
        1.564453125,
        1.578125,
        1.5693359375,
        1.5791015625,
        1.5751953125,
        1.5703125,
        1.5498046875,
        1.580078125,
        1.5625,
        1.5732421875,
        1.5625,
        1.5625,
        1.5712890625,
        1.5703125,
        1.5791015625,
        1.572265625,
        1.5908203125,
        1.5625,
        1.5576171875,
        1.564453125,
        1.5703125,
        1.5654296875,
        1.576171875,
        1.5673828125,
        1.5615234375,
        1.5654296875,
        1.5625,
        1.5625,
        1.556640625,
        1.56640625,
        1.5595703125,
        1.5703125,
        1.5771484375,
        1.5693359375,
        1.5732421875,
        1.5634765625,
        1.5654296875,
        1.5693359375,
        1.5654296875,
        1.5615234375,
        1.572265625,
        1.578125,
        1.576171875,
        1.564453125,
        1.568359375,
        1.5654296875,
        1.572265625,
        1.572265625,
        1.564453125,
        1.5673828125,
        1.5732421875,
        1.5654296875,
        1.5732421875,
        1.580078125,
        1.5712890625,
        1.5693359375,
        1.56640625,
        1.5693359375,
        1.572265625,
        1.56640625,
        1.5615234375,
        1.56640625,
        1.564453125,
        1.5615234375,
        1.5576171875,
        1.5615234375,
        1.572265625,
        1.5751953125,
        1.576171875,
        1.5673828125,
        1.5751953125,
        1.5810546875,
        1.5654296875,
        1.564453125,
        1.5703125,
        1.55078125,
        1.541015625,
        1.5556640625,
        1.560546875,
        1.57421875,
        1.5556640625,
        1.5693359375,
        1.5546875,
        1.5595703125,
        1.5615234375,
        1.556640625,
        1.5654296875,
        1.560546875,
        1.564453125,
        1.5732421875,
        1.5556640625,
        1.6015625,
        1.572265625,
        1.4814453125,
        3.779296875,
        3.798828125,
        3.814453125,
        1.662109375,
        1.7421875,
        1.7646484375,
        2.08349609375,
        2.09716796875,
        1.94140625,
        2.033203125,
        1.5673828125,
        1.8759765625,
        1.5390625,
        1.5390625,
        2.28955078125,
        1.529296875,
        2.264404296875,
        2.30517578125,
        2.3662109375,
        2.3740234375,
        2.404296875,
        2.456787109375,
        2.463623046875,
        2.4864501953125,
        2.5072021484375,
        2.5491943359375,
        2.5013427734375,
        2.5257568359375,
        2.5164794921875,
        2.4693603515625,
        2.3916015625,
        2.8956298828125,
        2.5560302734375,
        2.5889892578125,
        2.5706787109375,
        2.70751953125,
        2.6619873046875,
        2.5443115234375,
        2.5989990234375,
        2.5643310546875,
        2.491455078125,
        2.4832763671875,
        2.46533203125,
        2.420166015625,
        2.39599609375,
        2.369140625,
        2.34765625,
        1.83203125,
        1.5537109375,
        1.5625,
        1.568359375,
        1.5634765625,
        1.5576171875,
        1.5498046875,
        1.5458984375,
        1.5439453125,
        1.5419921875,
        1.51953125,
        1.52734375,
        1.5302734375,
        1.525390625,
        1.521484375,
        1.69482421875,
        1.5556640625,
        2.0048828125,
        1.94287109375,
        1.92431640625,
        1.94091796875,
        2.06787109375,
        2.07958984375,
        1.90234375,
        1.90380859375,
        1.95263671875,
        3.248046875,
        3.76953125,
        1.76318359375,
        1.6953125,
        1.6259765625,
        1.59375,
        1.5830078125,
        1.5673828125,
        1.55859375,
        1.5634765625,
        1.5703125,
        1.5625,
        1.5771484375,
        1.5888671875,
        1.5751953125,
        1.58203125,
        1.5869140625,
        1.5810546875,
        1.5849609375,
        1.57421875,
        1.580078125,
        1.587890625,
        1.5849609375,
        1.572265625,
        1.5830078125,
        1.5849609375,
        1.57421875,
        1.5673828125,
        1.568359375,
        1.5712890625,
        1.55859375,
        1.5615234375,
        1.5693359375,
        1.5712890625,
        1.5732421875,
        1.568359375,
        1.5615234375,
        1.56640625,
        1.5703125,
        1.564453125,
        1.56640625,
        1.55859375,
        1.568359375,
        1.568359375,
        1.564453125,
        1.580078125,
        1.5869140625,
        1.5390625,
        1.552734375,
        1.5888671875,
        1.5869140625,
        1.5732421875,
        1.611328125,
        3.798828125,
        3.693359375,
        1.82958984375,
        1.8642578125,
        1.8408203125,
        1.96484375,
        1.9482421875,
        2.133544921875,
        2.115966796875,
        1.8984375,
        1.98974609375,
        2.285400390625,
        2.3349609375,
        2.33056640625,
        2.388916015625,
        2.483642578125,
        2.5380859375,
        2.5318603515625,
        2.4892578125,
        2.5712890625,
        2.5401611328125,
        2.4569091796875,
        2.46337890625,
        2.3905029296875,
        2.4356689453125,
        2.7576904296875,
        2.5606689453125,
        2.939208984375,
        2.1351318359375,
        2.1651611328125,
        2.65771484375,
        1.265625,
        1.47998046875,
        1.535400390625,
        2.931884765625,
        2.6302490234375,
        3.814453125,
        2.9642333984375,
        2.8431396484375,
        2.9188232421875,
        2.6121826171875,
        2.802490234375,
        2.651123046875,
        2.47998046875,
        2.4208984375,
        2.290771484375,
        1.583984375,
        1.58203125,
        1.5546875,
        1.5634765625,
        1.56640625,
        1.56640625,
        1.5625,
        1.533203125,
        1.546875,
        1.5390625,
        1.5322265625,
        1.53125,
        1.521484375,
        1.51953125,
        1.521484375,
        1.5146484375,
        1.5166015625,
        1.533203125,
        1.5126953125,
        1.521484375,
        1.5322265625,
        1.5263671875,
        1.5322265625,
        2.03466796875,
        1.90185546875,
        1.91650390625,
        2.05078125,
        1.95166015625,
        1.92724609375,
        1.8505859375,
        1.859375,
        1.81201171875,
        3.30078125,
        3.40234375,
        1.69384765625,
        1.6748046875,
        1.62109375,
        1.6337890625,
        1.5712890625,
        1.56640625,
        1.556640625,
        1.5751953125,
        1.54296875,
        1.5732421875,
        1.578125,
        1.5771484375,
        1.5771484375,
        1.5751953125,
        1.578125,
        1.5703125,
        1.5732421875,
        1.5771484375,
        1.5673828125,
        1.5771484375,
        1.5791015625,
        1.5654296875,
        1.552734375,
        1.5703125,
        1.5595703125,
        1.5625,
        1.572265625,
        1.5654296875,
        1.572265625,
        1.5771484375,
        1.5517578125,
        1.5625,
        1.572265625,
        1.56640625,
        1.57421875,
        1.5654296875,
        1.560546875,
        1.580078125,
        1.560546875,
        1.5693359375,
        1.5625,
        1.55078125,
        1.568359375,
        1.55859375,
        1.552734375,
        1.640625,
        1.5595703125,
        1.5634765625,
        1.5712890625,
        1.568359375,
        1.55078125,
        1.5556640625,
        1.5625,
        1.5517578125,
        1.5615234375,
        1.5068359375,
        1.5283203125,
        1.5830078125,
        1.521484375,
        1.4638671875,
        1.736328125,
        1.458984375,
        1.67578125,
        1.66015625,
        2.0703125,
        1.4580078125,
        1.4951171875,
        1.5166015625,
        1.482421875,
        1.5849609375,
        1.544921875,
        1.66015625,
        1.81298828125,
        1.4990234375,
        1.533203125,
        1.529296875,
        1.53515625,
        1.5361328125,
        1.5263671875,
        1.529296875,
        1.5263671875,
        1.5361328125,
        1.5283203125,
        1.9384765625,
        2.300537109375,
        2.3193359375,
        2.416748046875,
        2.4375,
        2.59814453125,
        2.488525390625,
        2.536376953125,
        2.544189453125,
        2.489990234375,
        2.497802734375,
        2.583984375,
        2.5963134765625,
        2.380615234375,
        2.4166259765625,
        2.4097900390625,
        2.40625,
        2.4151611328125,
        2.404296875,
        2.4471435546875,
        2.466064453125,
        2.578125,
        2.9412841796875,
        3.289794921875,
        3.80859375,
        3.3544921875,
        1.8681640625,
        2.0311279296875,
        3.814453125,
        3.8125,
        2.515625,
        2.56005859375,
        2.4765625,
        2.40771484375,
        2.502685546875,
        2.3779296875,
        2.2861328125,
        2.14990234375,
        1.5498046875,
        1.5390625,
        1.5517578125,
        1.5556640625,
        1.5439453125,
        1.5302734375,
        1.51953125,
        1.515625,
        1.525390625,
        1.5166015625,
        1.5107421875,
        1.5263671875,
        1.521484375,
        1.513671875,
        1.5166015625,
        1.5126953125,
        1.5185546875,
        1.521484375,
        1.5283203125,
        1.5302734375,
        1.5302734375,
        1.5234375,
        1.5126953125,
        1.517578125,
        1.525390625,
        1.525390625,
        1.4970703125,
        2.15625,
        2.4803466796875,
        2.523681640625,
        2.5362548828125,
        2.5380859375,
        2.572021484375,
        2.543701171875,
        2.5567626953125,
        2.5531005859375,
        2.510986328125,
        2.6005859375,
        2.5218505859375,
        2.552978515625,
        2.4085693359375,
        2.4722900390625,
        2.38330078125,
        2.400634765625,
        2.419677734375,
        2.4078369140625,
        2.4307861328125,
        2.330810546875,
        2.32275390625,
        2.3814697265625,
        2.4351806640625,
        2.55859375,
        2.486083984375,
        2.401611328125,
        2.383544921875,
        2.4080810546875,
        2.5567626953125,
        2.517822265625,
        2.5765380859375,
        2.57373046875,
        2.61083984375,
        2.505126953125,
        2.44384765625,
        2.419677734375,
        2.4775390625,
        2.46826171875,
        2.5224609375,
        2.392333984375,
        2.01806640625,
        2.041015625,
        1.669921875,
        1.82177734375,
        2.382080078125,
        2.3837890625,
        2.5943603515625,
        2.5887451171875,
        2.57568359375,
        2.576171875,
        2.5750732421875,
        2.59259033203125,
        2.61395263671875,
        2.65545654296875,
        2.6705322265625,
        2.6224365234375,
        2.65179443359375,
        2.68463134765625,
        2.71240234375,
        2.698486328125,
        2.70892333984375,
        2.734039306640625,
        2.7161865234375,
        2.6895751953125,
        2.66937255859375,
        2.6832275390625,
        2.7183837890625,
        2.68524169921875,
        2.6697998046875,
        2.687255859375,
        2.69757080078125,
        2.7325439453125,
        2.6947021484375,
        2.7086181640625,
        2.7205810546875,
        2.70416259765625,
        2.69549560546875,
        2.688232421875,
        2.68310546875,
        2.666259765625,
        2.6715087890625,
        2.65863037109375,
        2.64141845703125,
        2.627197265625,
        2.641357421875,
        2.63006591796875,
        2.6483154296875,
        2.6634521484375,
        2.67626953125,
        2.66943359375,
        2.662109375,
        2.65460205078125,
        2.65374755859375,
        2.642333984375,
        2.646240234375,
        2.63763427734375,
        2.6466064453125,
        2.653076171875,
        2.65203857421875,
        2.64434814453125,
        2.65283203125,
        2.6392822265625,
        2.64202880859375,
        2.659912109375,
        2.6533203125,
        2.64111328125,
        2.6431884765625,
        2.6346435546875,
        2.63720703125,
        2.6553955078125,
        2.6607666015625,
        2.649658203125,
        2.6279296875,
        2.6456298828125,
        2.6343994140625,
        2.63397216796875,
        2.6607666015625,
        2.67230224609375,
        2.65631103515625,
        2.65386962890625,
        2.67462158203125,
        2.68365478515625,
        2.708740234375,
        2.4376220703125,
        2.77484130859375,
        2.468017578125,
        2.354736328125,
        2.043212890625,
        1.904541015625,
        2.2176513671875,
        2.22686767578125,
        2.32037353515625,
        2.323486328125,
        2.37017822265625,
        2.5128173828125,
        2.6427001953125,
        2.5179443359375,
        2.421875,
        2.4052734375,
        2.6201171875,
        2.33349609375,
        1.57421875,
        1.5517578125,
        1.5859375,
        1.5927734375,
        1.6044921875,
        1.611328125,
        1.61328125,
        1.591796875,
        1.603515625,
        1.57421875,
        1.5458984375,
        1.5546875,
        1.5205078125,
        1.5224609375,
        1.5224609375,
        1.5439453125,
        1.5537109375,
        1.5595703125,
        1.5556640625,
        1.5576171875,
        1.5498046875,
        1.5625,
        1.548828125,
        1.5673828125,
        1.5654296875,
        1.5576171875,
        1.5791015625,
        1.603515625,
        1.634765625,
        1.6474609375,
        1.6416015625,
        1.6455078125,
        1.6435546875,
        1.6435546875,
        1.6337890625,
        1.650390625,
        1.642578125,
        1.6435546875,
        1.646484375,
        1.638671875,
        1.6484375,
        1.6318359375,
        1.6376953125,
        1.6513671875,
        1.6376953125,
        1.6591796875,
        1.65234375,
        1.650390625,
        1.6484375,
        1.654296875,
        1.642578125,
        1.6494140625,
        1.654296875,
        1.64453125,
        1.650390625,
        1.6455078125,
        1.583984375,
        1.5830078125,
        1.6552734375,
        1.640625,
        1.640625,
        1.654296875,
        1.6630859375,
        1.640625,
        1.638671875,
        1.646484375,
        1.640625,
        1.6474609375,
        1.646484375,
        1.62890625,
        1.6171875,
        1.64453125,
        1.6376953125,
        1.640625,
        1.640625,
        1.6396484375,
        1.640625,
        1.6455078125,
        1.642578125,
        1.6357421875,
        1.63671875,
        1.6455078125,
        1.65234375,
        1.646484375,
        1.63671875,
        1.638671875,
        1.654296875,
        1.6591796875,
        1.6435546875,
        1.6376953125,
        1.642578125,
        1.6474609375,
        1.638671875,
        1.6318359375,
        1.646484375,
        1.6376953125,
        1.642578125,
        1.65234375,
        1.6435546875,
        1.64453125,
        1.6455078125,
        1.6328125,
        1.6455078125,
        1.646484375,
        1.6484375,
        1.6416015625,
        1.63671875,
        1.6435546875
    ],
    "relative_depth_range_per_image": [
        0.47617198785545134,
        0.47617198785545134,
        0.47657431335940975,
        0.4773423622125273,
        0.47732494666381803,
        0.4777092662666069,
        0.47692288908883135,
        0.47694062706102913,
        0.47732494666381803,
        0.47732494666381803,
        0.4765382738556952,
        0.4769583377859685,
        0.47694062706102913,
        0.4763449316767063,
        0.47694062706102913,
        0.4757690433894229,
        0.47655630745824024,
        0.477726386639086,
        0.4765382738556952,
        0.47694062706102913,
        0.4777092662666069,
        0.47655630745824024,
        0.4780935858693959,
        0.47709596594374254,
        0.47732494666381803,
        0.4773075043219675,
        0.47732494666381803,
        0.4769583377859685,
        0.4777092662666069,
        0.4777092662666069,
        0.47732494666381803,
        0.477726386639086,
        0.47732494666381803,
        0.47655630745824024,
        0.47617198785545134,
        0.47694062706102913,
        0.47694062706102913,
        0.4765382738556952,
        0.47694062706102913,
        0.47732494666381803,
        0.47694062706102913,
        0.4777092662666069,
        0.47655630745824024,
        0.47617198785545134,
        0.47657431335940975,
        0.47749789048507296,
        0.47615365862255904,
        0.47711357088228407,
        0.4757690433894229,
        0.4773075043219675,
        0.4781104110656448,
        0.4777092662666069,
        0.47655630745824024,
        0.4777092662666069,
        0.47732494666381803,
        0.47655630745824024,
        0.47617198785545134,
        0.4769583377859685,
        0.4773423622125273,
        0.4773597510297831,
        0.4757690433894229,
        0.47694062706102913,
        0.47694062706102913,
        0.47615365862255904,
        0.47694062706102913,
        0.47657431335940975,
        0.47692288908883135,
        0.47769211955510366,
        0.47615365862255904,
        0.4769583377859685,
        0.47655630745824024,
        0.47655630745824024,
        0.4780767347882398,
        0.4777092662666069,
        0.47615365862255904,
        0.47732494666381803,
        0.47615365862255904,
        0.47732494666381803,
        0.4769583377859685,
        0.47849443549220355,
        0.477726386639086,
        0.47769211955510366,
        0.47575038985050067,
        0.4765382738556952,
        0.47769211955510366,
        0.47926248434532104,
        0.4769583377859685,
        0.47769211955510366,
        0.47688733115075993,
        0.47615365862255904,
        0.4773075043219675,
        0.4773423622125273,
        0.47769211955510366,
        0.4761353011691499,
        0.47729003512509777,
        0.47615365862255904,
        0.4761353011691499,
        0.4753654785318514,
        0.4769051238064485,
        0.4769051238064485,
        0.4761353011691499,
        0.4765382738556952,
        0.47615365862255904,
        0.47615365862255904,
        0.4765382738556952,
        0.47769211955510366,
        0.4765382738556952,
        0.47692288908883135,
        0.4769051238064485,
        0.47615365862255904,
        0.4769051238064485,
        0.47692288908883135,
        0.4765202124877992,
        0.4777092662666069,
        0.47694062706102913,
        0.47692288908883135,
        0.4773075043219675,
        0.4753654785318514,
        0.47575038985050067,
        0.4765382738556952,
        0.47694062706102913,
        0.4773075043219675,
        0.4765382738556952,
        0.4765202124877992,
        0.47575038985050067,
        0.4757317075696192,
        0.47732494666381803,
        0.47655630745824024,
        0.47655630745824024,
        0.4769051238064485,
        0.4777092662666069,
        0.4773423622125273,
        0.47692288908883135,
        0.4773075043219675,
        0.4773075043219675,
        0.47575038985050067,
        0.4753654785318514,
        0.4765382738556952,
        0.47578766825266244,
        0.47655630745824024,
        0.47694062706102913,
        0.4763449316767063,
        0.47615365862255904,
        0.4769051238064485,
        0.4753654785318514,
        0.4765382738556952,
        0.4777092662666069,
        0.4780935858693959,
        0.4753654785318514,
        0.4773075043219675,
        0.47694062706102913,
        0.4781104110656448,
        0.47732494666381803,
        0.4777092662666069,
        0.4765382738556952,
        0.47655630745824024,
        0.4759421202443341,
        0.47732494666381803,
        0.47615365862255904,
        0.47657431335940975,
        0.4773075043219675,
        0.47694062706102913,
        0.47575038985050067,
        0.47615365862255904,
        0.47692288908883135,
        0.4753654785318514,
        0.4757690433894229,
        0.47615365862255904,
        0.47617198785545134,
        0.47615365862255904,
        0.47615365862255904,
        0.4773075043219675,
        0.4765382738556952,
        0.4753654785318514,
        0.4765382738556952,
        0.47615365862255904,
        0.47769211955510366,
        0.47769211955510366,
        0.47692288908883135,
        0.47615365862255904,
        0.47769211955510366,
        0.4761353011691499,
        0.47692288908883135,
        0.4753654785318514,
        0.47615365862255904,
        0.4753464997092389,
        0.4773075043219675,
        0.4753654785318514,
        0.47694062706102913,
        0.47732494666381803,
        0.47655630745824024,
        0.4777092662666069,
        0.47692288908883135,
        0.47655630745824024,
        0.47732494666381803,
        0.4765382738556952,
        0.47655630745824024,
        0.4761353011691499,
        0.47655630745824024,
        0.47692288908883135,
        0.47575038985050067,
        0.4765202124877992,
        0.4769051238064485,
        0.47615365862255904,
        0.4753464997092389,
        0.47615365862255904,
        0.4757690433894229,
        0.47655630745824024,
        0.47575038985050067,
        0.47732494666381803,
        0.47694062706102913,
        0.4773423622125273,
        0.4765382738556952,
        0.47655630745824024,
        0.47692288908883135,
        0.4769583377859685,
        0.47694062706102913,
        0.4765382738556952,
        0.47694062706102913,
        0.47694062706102913,
        0.4777092662666069,
        0.4757690433894229,
        0.47578766825266244,
        0.47578766825266244,
        0.47694062706102913,
        0.4781104110656448,
        0.47615365862255904,
        0.47655630745824024,
        0.47617198785545134,
        0.47694062706102913,
        0.47767494644374703,
        0.47575038985050067,
        0.47655630745824024,
        0.477726386639086,
        0.47694062706102913,
        0.47849443549220355,
        0.477726386639086,
        0.47694062706102913,
        0.47655630745824024,
        0.47657431335940975,
        0.47694062706102913,
        0.4777092662666069,
        0.4773423622125273,
        0.4781104110656448,
        0.47849443549220355,
        0.4769583377859685,
        0.477726386639086,
        0.4785109401399836,
        0.47812721043658346,
        0.4769583377859685,
        0.47889466984338375,
        0.477726386639086,
        0.47657431335940975,
        0.47617198785545134,
        0.4769583377859685,
        0.4769583377859685,
        0.47751517320447867,
        0.4773597510297831,
        0.47657431335940975,
        0.4773597510297831,
        0.477726386639086,
        0.47655630745824024,
        0.47812721043658346,
        0.4785109401399836,
        0.4782907252601997,
        0.4777434807331833,
        0.47812721043658346,
        0.47812721043658346,
        0.4777434807331833,
        0.4773597510297831,
        0.4777434807331833,
        0.47812721043658346,
        0.4777434807331833,
        0.4785274194738966,
        0.47891085490616736,
        0.4781439840416259,
        0.4777434807331833,
        0.4782998888031134,
        0.47776054860935513,
        0.4792942903384381,
        0.4777434807331833,
        0.4792942903384381,
        0.4773597510297831,
        0.4773118013101125,
        0.47889466984338375,
        0.4773423622125273,
        0.477726386639086,
        0.478307380495316,
        0.47812721043658346,
        0.4773423622125273,
        0.4781439840416259,
        0.4777434807331833,
        0.4781104110656448,
        0.47776054860935513,
        0.4781104110656448,
        0.4773423622125273,
        0.4781104110656448,
        0.4777434807331833,
        0.4785109401399836,
        0.47927839954678386,
        0.477726386639086,
        0.47889466984338375,
        0.4785274194738966,
        0.4785274194738966,
        0.47849443549220355,
        0.4785109401399836,
        0.4773423622125273,
        0.477726386639086,
        0.4785109401399836,
        0.4781439840416259,
        0.4785109401399836,
        0.4773597510297831,
        0.4773597510297831,
        0.4777434807331833,
        0.47753242939631313,
        0.47812721043658346,
        0.4785109401399836,
        0.4777434807331833,
        0.47812721043658346,
        0.4769583377859685,
        0.4773597510297831,
        0.47849443549220355,
        0.4773423622125273,
        0.4773423622125273,
        0.4781104110656448,
        0.47889466984338375,
        0.4769583377859685,
        0.4769583377859685,
        0.4781104110656448,
        0.4773423622125273,
        0.47674712435136113,
        0.4767372975607992,
        0.4773423622125273,
        0.4769583377859685,
        0.47732494666381803,
        0.4780935858693959,
        0.47732494666381803,
        0.4765382738556952,
        0.4784779054721848,
        0.47694062706102913,
        0.4777092662666069,
        0.4780935858693959,
        0.47657431335940975,
        0.477726386639086,
        0.47812721043658346,
        0.4777092662666069,
        0.4773423622125273,
        0.4773423622125273,
        0.47849443549220355,
        0.477726386639086,
        0.4773423622125273,
        0.477726386639086,
        0.47812721043658346,
        0.4773597510297831,
        0.4781104110656448,
        0.47812721043658346,
        0.4785109401399836,
        0.4780935858693959,
        0.4781104110656448,
        0.4777434807331833,
        0.4777434807331833,
        0.4781439840416259,
        0.4785274194738966,
        0.47812721043658346,
        0.4781439840416259,
        0.47812721043658346,
        0.47812721043658346,
        0.4785274194738966,
        0.4773597510297831,
        0.4777434807331833,
        0.4792942903384381,
        0.47812721043658346,
        0.47889466984338375,
        0.4785274194738966,
        0.47891085490616736,
        0.47891085490616736,
        0.4785109401399836,
        0.47891085490616736,
        0.4781439840416259,
        0.476976021326383,
        0.47737711317708437,
        0.47889466984338375,
        0.4773597510297831,
        0.47776054860935513,
        0.476976021326383,
        0.4781439840416259,
        0.47657431335940975,
        0.4785109401399836,
        0.47812721043658346,
        0.47674712435136113,
        0.4777434807331833,
        0.476976021326383,
        0.4773597510297831,
        0.476976021326383,
        0.47812721043658346,
        0.4773597510297831,
        0.476976021326383,
        0.47776054860935513,
        0.476976021326383,
        0.47891085490616736,
        0.47737711317708437,
        0.47812721043658346,
        0.4773597510297831,
        0.4777434807331833,
        0.4773423622125273,
        0.476976021326383,
        0.477726386639086,
        0.4777434807331833,
        0.4777434807331833,
        0.47812721043658346,
        0.4769583377859685,
        0.476976021326383,
        0.47776054860935513,
        0.4773597510297831,
        0.4777434807331833,
        0.47891085490616736,
        0.47812721043658346,
        0.4773597510297831,
        0.4781104110656448,
        0.4773597510297831,
        0.4777434807331833,
        0.47812721043658346,
        0.4777434807331833,
        0.4773597510297831,
        0.4785274194738966,
        0.47776054860935513,
        0.4777434807331833,
        0.476976021326383,
        0.477726386639086,
        0.47674712435136113,
        0.47891085490616736,
        0.4777434807331833,
        0.4773597510297831,
        0.4785274194738966,
        0.4773597510297831,
        0.4773597510297831,
        0.4777434807331833,
        0.4777775903278726,
        0.47449749386188805,
        0.766040550807189,
        0.890238845831567,
        0.8937496433360738,
        0.8964534020500455,
        0.9063461290188297,
        0.9038572864633726,
        0.9150056614469414,
        0.9131093760065035,
        0.9159729875389603,
        0.9144593489803502,
        0.9122355671175054,
        0.9089328140731996,
        0.9098436088030132,
        0.8995105913027044,
        0.9999994616196379,
        0.9247484749063221,
        0.9259686247318326,
        0.927185675683955,
        0.9228823057375752,
        0.9227622782456915,
        0.9217546298476417,
        0.9218505608725059,
        0.9113624108428483,
        0.9125378980723765,
        0.9054360922026958,
        0.9032825708417486,
        0.8665898748516697,
        0.8039847770334817,
        0.4996175414341122,
        0.4965568062455357,
        0.4980870275282646,
        0.5019140451914309,
        0.5007660870557574,
        0.4961683877101804,
        0.49195382997673487,
        0.4980840957708375,
        0.4927201132009977,
        0.49079735330656066,
        0.49042126352820925,
        0.4915706883646035,
        0.4842909977341066,
        0.47894315067466064,
        0.4812402401263377,
        0.4816090064491867,
        0.48275843128558094,
        0.4816090064491867,
        0.4800764400006611,
        0.47969329838852964,
        0.47891085490616736,
        0.47892701516426683,
        0.4785274194738966,
        0.4781439840416259,
        0.4781439840416259,
        0.4781439840416259,
        0.4781439840416259,
        0.48006116120297965,
        0.47927839954678386,
        0.4792942903384381,
        0.47969329838852964,
        0.48006116120297965,
        0.4796777257707089,
        0.4792942903384381,
        0.4792942903384381,
        0.47889466984338375,
        0.4796777257707089,
        0.47891085490616736,
        0.4792942903384381,
        0.4785274194738966,
        0.4792942903384381,
        0.4792942903384381,
        0.4792942903384381,
        0.4792942903384381,
        0.4785109401399836,
        0.47969329838852964,
        0.4792942903384381,
        0.47969329838852964,
        0.48045958161279245,
        0.4792942903384381,
        0.4796777257707089,
        0.47966212925018403,
        0.47891085490616736,
        0.4793101567763982,
        0.47776054860935513,
        0.4790834008506891,
        0.4800764400006611,
        0.4796777257707089,
        0.47891085490616736,
        0.4785274194738966,
        0.47891085490616736,
        0.4785274194738966,
        0.4792942903384381,
        0.48044459663525035,
        0.47927839954678386,
        0.4811970480637846,
        0.48006116120297965,
        0.48159490293206264,
        0.4850343450977861,
        0.48444493610356454,
        0.47889466984338375,
        0.4823617737966041,
        0.48275843128558094,
        0.48312864466114563,
        0.48312864466114563,
        0.4819783383643334,
        0.47889466984338375,
        0.47776054860935513,
        0.4819645074705849,
        0.4823617737966041,
        0.48045958161279245,
        0.48274520922887487,
        0.48466238639022863,
        0.4823617737966041,
        0.4777434807331833,
        0.4781439840416259,
        0.47891085490616736,
        0.4800764400006611,
        0.4785438735521354,
        0.47889466984338375,
        0.47927839954678386,
        0.47891085490616736,
        0.4792942903384381,
        0.48006116120297965,
        0.4785109401399836,
        0.4669990490379792,
        0.9029159921005464,
        0.9064896588919313,
        0.8941342632332747,
        0.8944161839713398,
        0.8943644787648233,
        0.8943726963249061,
        0.8952016640689572,
        0.8948238608204556,
        0.8954737786186718,
        0.8939781735160375,
        0.9027671157379173,
        0.8959159691561942,
        0.8968771207628593,
        0.9042216349841614,
        0.8993265688806128,
        0.8990751461275232,
        0.873722945453874,
        0.8755349391011656,
        0.8745224735157381,
        0.8366620425679585,
        0.834113074824102,
        0.8415173442179997,
        0.8748812046030523,
        0.8765384007692602,
        0.8885448336732467,
        0.8897366789269044,
        0.8724289671274901,
        0.8724447191508513,
        0.8196435375161881,
        0.8220738710612454,
        0.8249460563693018,
        0.8284726719759904,
        0.8278812957917632,
        0.8282018060306799,
        0.8289234028284344,
        0.8290121811729592,
        0.8309075379738298,
        0.8307322225317,
        0.8315211420212838,
        0.8283148041617495,
        0.8285682094290995,
        0.816782837705899,
        0.8277750762729672,
        0.8007160556618237,
        0.753258260362348,
        0.6893436065538182,
        0.5169338604324862,
        0.5134791852060407,
        0.5110957929819796,
        0.5189346167905666,
        0.5301390166182887,
        0.5473324968805184,
        0.6470924389274824,
        0.6270753453070538,
        0.8270889706783842,
        0.8343120695615676,
        0.8317504558984059,
        0.8355849926271431,
        0.8483338210917893,
        0.8399706589059791,
        0.9057139544817537,
        0.8964198286643565,
        0.89165981564316,
        0.8904304708923113,
        0.8879474652421322,
        0.8873633533255164,
        0.88754828449438,
        0.8861064273682846,
        0.8854082857910236,
        0.8759671451275709,
        0.8752863546279712,
        0.8390681143704376,
        0.7680382786588245,
        0.49694403786451685,
        0.4721159345123312,
        0.47341342325101465,
        0.47243473056157576,
        0.47281757880352193,
        0.4747704563589651,
        0.47513370828733076,
        0.47513370828733076,
        0.47507650058345985,
        0.4754599360157306,
        0.47661024231254284,
        0.47718372082906885,
        0.47776054860935513,
        0.47816073194000397,
        0.47816073194000397,
        0.4781439840416259,
        0.4785438735521354,
        0.47816073194000397,
        0.47816073194000397,
        0.47816073194000397,
        0.47816073194000397,
        0.47737711317708437,
        0.4777434807331833,
        0.4773423622125273,
        0.4771311487779199,
        0.47751517320447867,
        0.477726386639086,
        0.47694062706102913,
        0.4773423622125273,
        0.4773423622125273,
        0.47694062706102913,
        0.4773423622125273,
        0.47694062706102913,
        0.4777092662666069,
        0.47672925127949517,
        0.47694062706102913,
        0.47694062706102913,
        0.47694062706102913,
        0.4765382738556952,
        0.47694062706102913,
        0.47615365862255904,
        0.47615365862255904,
        0.47694062706102913,
        0.47887845991876227,
        0.47694062706102913,
        0.4781104110656448,
        0.4781104110656448,
        0.4781104110656448,
        0.4784779054721848,
        0.47732494666381803,
        0.47694062706102913,
        0.47887845991876227,
        0.47812721043658346,
        0.477726386639086,
        0.4785109401399836,
        0.4781104110656448,
        0.47849443549220355,
        0.47694062706102913,
        0.4785109401399836,
        0.4765021232903797,
        0.4769051238064485,
        0.4780935858693959,
        0.47611691542999945,
        0.4744580163138511,
        0.47407101956318726,
        0.47525116525243877,
        0.4744580163138511,
        0.4752893873759333,
        0.47648400619906617,
        0.47889466984338375,
        0.4760985013396818,
        0.47606158784283165,
        0.47453684956568903,
        0.47449749386188805,
        0.4752893873759333,
        0.4737246966406146,
        0.4733382980299779,
        0.47411109525125134,
        0.47329702606185964,
        0.47286802937330924,
        0.4732556261186972,
        0.4732556261186972,
        0.47129539076552357,
        0.47129539076552357,
        0.472633636936833,
        0.47168328820648286,
        0.47323487797032,
        0.47207118564744216,
        0.47207118564744216,
        0.47323487797032,
        0.47166130319053784,
        0.4724377003974358,
        0.47125078377591195,
        0.4704737833080209,
        0.47166130319053784,
        0.4712731045870888,
        0.47321409760433386,
        0.47241628447774847,
        0.47321409760433386,
        0.47166130319053784,
        0.4724377003974358,
        0.47241628447774847,
        0.47122842825120115,
        0.47241628447774847,
        0.47163928400985744,
        0.4708622835419664,
        0.47161723058474175,
        0.47163928400985744,
        0.4708396259176606,
        0.47241628447774847,
        0.4712731045870888,
        0.4724377003974358,
        0.472027784243803,
        0.47323487797032,
        0.47166130319053784,
        0.4724377003974358,
        0.4728469805293607,
        0.47207118564744216,
        0.47286802937330924,
        0.47207118564744216,
        0.4724804326279213,
        0.4724590830884014,
        0.4728469805293607,
        0.4724590830884014,
        0.4724590830884014,
        0.4720928358825333,
        0.47286802937330924,
        0.4732556261186972,
        0.47286802937330924,
        0.47168328820648286,
        0.47323487797032,
        0.47323487797032,
        0.47207118564744216,
        0.47241628447774847,
        0.472027784243803,
        0.47125078377591195,
        0.472027784243803,
        0.47204950179398686,
        0.47163928400985744,
        0.47241628447774847,
        0.47163928400985744,
        0.47163928400985744,
        0.4722123253153815,
        0.4722026093490784,
        0.47204950179398686,
        0.47321409760433386,
        0.4712731045870888,
        0.47125078377591195,
        0.472027784243803,
        0.47163928400985744,
        0.47163928400985744,
        0.47241628447774847,
        0.47182396087314493,
        0.47282589900088484,
        0.47204950179398686,
        0.4736636386399822,
        0.4724590830884014,
        0.4732556261186972,
        0.4732763421243321,
        0.47286802937330924,
        0.4724804326279213,
        0.4724804326279213,
        0.4724590830884014,
        0.4728469805293607,
        0.4740106728522385,
        0.47207118564744216,
        0.47323487797032,
        0.47323487797032,
        0.4720928358825333,
        0.4720928358825333,
        0.47204950179398686,
        0.47323487797032,
        0.4724590830884014,
        0.4724590830884014,
        0.4724804326279213,
        0.4732556261186972,
        0.4732556261186972,
        0.4724804326279213,
        0.47168328820648286,
        0.47362277541127923,
        0.4728469805293607,
        0.4728469805293607,
        0.47323487797032,
        0.4712731045870888,
        0.47323487797032,
        0.4728469805293607,
        0.4724590830884014,
        0.4728469805293607,
        0.47207118564744216,
        0.47207118564744216,
        0.47204950179398686,
        0.4724377003974358,
        0.4724377003974358,
        0.47204950179398686,
        0.4724590830884014,
        0.4728469805293607,
        0.47362277541127923,
        0.4728469805293607,
        0.4724590830884014,
        0.4724377003974358,
        0.47207118564744216,
        0.47282589900088484,
        0.47282589900088484,
        0.47362277541127923,
        0.4879656445353959,
        0.8380237351955337,
        0.843192062285232,
        0.8604195641253368,
        0.8624502438146048,
        0.8693403930879418,
        0.8722887979021168,
        0.8753013289185193,
        0.8762112692890388,
        0.8832657643289746,
        0.8870188668640546,
        0.8879655959170298,
        0.8892620576184405,
        0.8796829166836276,
        0.8826548977083922,
        0.8791361840140481,
        0.8736950215067827,
        0.8690471729802982,
        0.8616847470242814,
        0.8593914875044065,
        0.8559016579947509,
        0.8542133061569992,
        0.8530496730200313,
        0.8600011478019033,
        0.8607293818898284,
        0.8463243232743883,
        0.8672256155330902,
        0.8691121123959235,
        0.8718508183560614,
        0.8737296476964899,
        0.8761134909047029,
        0.8744565872148808,
        0.8747612508314963,
        0.8734859884945472,
        0.8726914996909155,
        0.8729344538946157,
        0.872114805700641,
        0.8705886686769579,
        0.871544956666813,
        0.8724335809521081,
        0.8701326471457379,
        0.8699253015824214,
        0.8693723979033355,
        0.8692838518157733,
        0.8717600211419481,
        0.8734340585758785,
        0.8741566015720809,
        0.8896306569203593,
        0.89270881767447,
        0.8921585218093484,
        0.8950889137292826,
        0.895011698917144,
        0.8963337668887109,
        0.8916395697518366,
        0.87757084705991,
        0.8723974967868016,
        0.5631252591838855,
        0.4650267193745731,
        0.4673075082604275,
        0.47115366059178904,
        0.4680521634775152,
        0.4687498148148879,
        0.46833958317384816,
        0.4699535896639153,
        0.47110921324505606,
        0.47108693816768515,
        0.4710422848079924,
        0.4713841907589283,
        0.47179270358743103,
        0.47177088820827934,
        0.4736840228125234,
        0.4736840228125234,
        0.47447777035373667,
        0.47411109525125134,
        0.4738783893072425,
        0.4729309805563325,
        0.4737043754550346,
        0.4737043754550346,
        0.47331767800568353,
        0.47331767800568353,
        0.4729100293111958,
        0.4729100293111958,
        0.4724804326279213,
        0.4725017490930321,
        0.4724804326279213,
        0.4728890456086821,
        0.4724804326279213,
        0.47207118564744216,
        0.4724590830884014,
        0.47166130319053784,
        0.47166130319053784,
        0.47204950179398686,
        0.4724377003974358,
        0.4724590830884014,
        0.47204950179398686,
        0.47166130319053784,
        0.4724590830884014,
        0.47204950179398686,
        0.47204950179398686,
        0.47166130319053784,
        0.47204950179398686,
        0.4724377003974358,
        0.47282589900088484,
        0.47204950179398686,
        0.4724590830884014,
        0.4724590830884014,
        0.47207118564744216,
        0.4728469805293607,
        0.47282589900088484,
        0.47207118564744216,
        0.4724590830884014,
        0.47207118564744216,
        0.47166130319053784,
        0.4724590830884014,
        0.4724590830884014,
        0.4728469805293607,
        0.47207118564744216,
        0.47364322286408517,
        0.47282589900088484,
        0.47207118564744216,
        0.4724590830884014,
        0.47207118564744216,
        0.4732556261186972,
        0.4724804326279213,
        0.47286802937330924,
        0.4720928358825333,
        0.47364322286408517,
        0.47364322286408517,
        0.4724804326279213,
        0.4728469805293607,
        0.47144779395864084,
        0.4724590830884014,
        0.47286802937330924,
        0.4724590830884014,
        0.4736636386399822,
        0.4740509351556322,
        0.4737043754550346,
        0.47170523913714535,
        0.4732556261186972,
        0.4720928358825333,
        0.4720928358825333,
        0.4720928358825333,
        0.4732556261186972,
        0.4724804326279213,
        0.47286802937330924,
        0.47168328820648286,
        0.47224573949587373,
        0.4724590830884014,
        0.4724804326279213,
        0.4740910729043856,
        0.4740910729043856,
        0.47488389247252477,
        0.47411109525125134,
        0.4737043754550346,
        0.47449749386188805,
        0.4740910729043856,
        0.4736840228125234,
        0.4736840228125234,
        0.4736840228125234,
        0.4728890456086821,
        0.47407101956318726,
        0.47329702606185964,
        0.47525116525243877,
        0.47447777035373667,
        0.4748644678030877,
        0.4748644678030877,
        0.4744580163138511,
        0.47447777035373667,
        0.47411109525125134,
        0.47449749386188805,
        0.4752702910831615,
        0.47488389247252477,
        0.47565668969379815,
        0.4748644678030877,
        0.4748644678030877,
        0.4740910729043856,
        0.47447777035373667,
        0.4740910729043856,
        0.47331767800568353,
        0.47447777035373667,
        0.4724804326279213,
        0.47364322286408517,
        0.47364322286408517,
        0.4725017490930321,
        0.4728890456086821,
        0.4724804326279213,
        0.47226725441795786,
        0.4736636386399822,
        0.47286802937330924,
        0.4724804326279213,
        0.47204950179398686,
        0.47166130319053784,
        0.472027784243803,
        0.47241628447774847,
        0.47125078377591195,
        0.47125078377591195,
        0.47161723058474175,
        0.4712060379319133,
        0.47178012248518086,
        0.47122842825120115,
        0.47125078377591195,
        0.47163928400985744,
        0.472804784711694,
        0.47125078377591195,
        0.47207118564744216,
        0.47323487797032,
        0.4748644678030877,
        0.4756378627017898,
        0.4740910729043856,
        0.4756754876093825,
        0.4740910729043856,
        0.4744580163138511,
        0.47569425651584923,
        0.4753084541991292,
        0.477726386639086,
        0.4765202124877992,
        0.4753274916209131,
        0.4765021232903797,
        0.477726386639086,
        0.47812721043658346,
        0.47889466984338375,
        0.477726386639086,
        0.4777434807331833,
        0.4773423622125273,
        0.477726386639086,
        0.4781104110656448,
        0.47812721043658346,
        0.47927839954678386,
        0.4773423622125273,
        0.4785109401399836,
        0.47889466984338375,
        0.47927839954678386,
        0.4781104110656448,
        0.477726386639086,
        0.4781104110656448,
        0.47812721043658346,
        0.47886222507497367,
        0.47812721043658346,
        0.47889466984338375,
        0.4785109401399836,
        0.4777434807331833,
        0.4777434807331833,
        0.47889466984338375,
        0.47849443549220355,
        0.47887845991876227,
        0.4781104110656448,
        0.4782665296906508,
        0.4773423622125273,
        0.4781104110656448,
        0.4782907252601997,
        0.4781104110656448,
        0.47812721043658346,
        0.47927839954678386,
        0.47812721043658346,
        0.4782907252601997,
        0.4781104110656448,
        0.477726386639086,
        0.4781104110656448,
        0.47812721043658346,
        0.4796777257707089,
        0.4796777257707089,
        0.47776054860935513,
        0.49118078873883136,
        0.49731163239358234,
        0.7889482701907027,
        0.828952091770168,
        0.8467178119540387,
        0.8459666281801286,
        0.8660347604248148,
        0.8674121057470832,
        0.8779224867526787,
        0.8782147703460932,
        0.8848475405289074,
        0.8851400521125532,
        0.8887907237395535,
        0.889527725867242,
        0.8916271858269803,
        0.891299720074268,
        0.8926177503777257,
        0.8924483778126423,
        0.8936313426346628,
        0.8931414499300456,
        0.8953876021864985,
        0.8954380264895184,
        0.8981732444110753,
        0.898155055058565,
        0.8995075113796489,
        0.8995865770351475,
        0.9021700492882303,
        0.9009299594013149,
        0.9019418631121642,
        0.9010245487744621,
        0.901155343559176,
        0.9015254958924381,
        0.9032222078064288,
        0.9034541033797915,
        0.9045079911559781,
        0.9034132830942964,
        0.9032107273550304,
        0.9036517653997547,
        0.9048821205027182,
        0.9131015055496512,
        0.9098134477699881,
        0.8831252688888618,
        0.863773217278275,
        0.8583174176401995,
        0.8563005173779197,
        0.8503111084523787,
        0.8586301778220914,
        0.8598239747716222,
        0.8591167503142625,
        0.8577762776277181,
        0.8442741003783218,
        0.8398996145511319,
        0.8506791867964675,
        0.8583630496286977,
        0.9089102435278291,
        0.904658073415575,
        0.9054266052845794,
        0.9072246766778201,
        0.9047821683999459,
        0.9008952793937827,
        0.893023805745761,
        0.8877627010643001,
        0.8770251164839046,
        0.8718167852081836,
        0.8538783124533824,
        0.8426492519539505,
        0.8125475011290584,
        0.7750570797021998,
        0.48012213622130445,
        0.46863026783573286,
        0.4724558210425552,
        0.47200901712529386,
        0.474158192219591,
        0.47394617420655843,
        0.47511466825519894,
        0.4746736431059821,
        0.4754599360157306,
        0.47622680688027214,
        0.4769936777448136,
        0.47661024231254284,
        0.47776054860935513,
        0.4781439840416259,
        0.47969329838852964,
        0.47949828062548255,
        0.47816073194000397,
        0.47816073194000397,
        0.47816073194000397,
        0.47816073194000397,
        0.4785438735521354,
        0.47776054860935513,
        0.477726386639086,
        0.4777434807331833,
        0.4775229417699353,
        0.4777434807331833,
        0.477726386639086,
        0.4781439840416259,
        0.4785274194738966,
        0.4777434807331833,
        0.4773423622125273,
        0.477726386639086,
        0.477726386639086,
        0.4773423622125273,
        0.4773423622125273,
        0.47812721043658346,
        0.47812721043658346,
        0.4773423622125273,
        0.47732494666381803,
        0.477726386639086,
        0.47849443549220355,
        0.4781104110656448,
        0.4773423622125273,
        0.47812721043658346,
        0.47812721043658346,
        0.47887845991876227,
        0.477726386639086,
        0.4785109401399836,
        0.4785274194738966,
        0.4785109401399836,
        0.47889466984338375,
        0.4780935858693959,
        0.4765021232903797,
        0.4769051238064485,
        0.47551984324640995,
        0.47488389247252477,
        0.4736636386399822,
        0.4724804326279213,
        0.47286802937330924,
        0.4708396259176606,
        0.4724377003974358,
        0.47125078377591195,
        0.47200603291828236,
        0.4712731045870888,
        0.47204950179398686,
        0.4712731045870888,
        0.47125078377591195,
        0.47125078377591195,
        0.47142560888118734,
        0.472027784243803,
        0.47161723058474175,
        0.47122842825120115,
        0.47163928400985744,
        0.472027784243803,
        0.47122842825120115,
        0.47125078377591195,
        0.47081693302858385,
        0.4715951428352427,
        0.4712060379319133,
        0.47081693302858385,
        0.47081693302858385,
        0.47122842825120115,
        0.47122842825120115,
        0.47161723058474175,
        0.47161723058474175,
        0.4702138204284232,
        0.4708396259176606,
        0.4708396259176606,
        0.47161723058474175,
        0.4708396259176606,
        0.4708396259176606,
        0.47161723058474175,
        0.4714033893012944,
        0.47204950179398686,
        0.4724590830884014,
        0.4724377003974358,
        0.47166130319053784,
        0.47204950179398686,
        0.47125078377591195,
        0.47161723058474175,
        0.4732556261186972,
        0.4728469805293607,
        0.4724590830884014,
        0.47362277541127923,
        0.47403081960947313,
        0.4724590830884014,
        0.47362277541127923,
        0.4724590830884014,
        0.4724590830884014,
        0.4732556261186972,
        0.47286802937330924,
        0.4732556261186972,
        0.4718359925620898,
        0.47282589900088484,
        0.47166130319053784,
        0.4712731045870888,
        0.4728469805293607,
        0.4728469805293607,
        0.47323487797032,
        0.47403081960947313,
        0.47364322286408517,
        0.4736636386399822,
        0.4736636386399822,
        0.4732763421243321,
        0.4732763421243321,
        0.4740509351556322,
        0.4736840228125234,
        0.47449749386188805,
        0.4785109401399836,
        0.47927839954678386,
        0.47889466984338375,
        0.4777434807331833,
        0.4777092662666069,
        0.4765382738556952,
        0.47732494666381803,
        0.47769211955510366,
        0.4773423622125273,
        0.4773423622125273,
        0.47692288908883135,
        0.4765202124877992,
        0.47632673547747023,
        0.4780935858693959,
        0.4773075043219675,
        0.4773075043219675,
        0.47732494666381803,
        0.4773075043219675,
        0.47732494666381803,
        0.47692288908883135,
        0.47891085490616736,
        0.47889466984338375,
        0.4804295886569843,
        0.4915577500555886,
        0.7628408840458111,
        0.8201263085919647,
        0.8382971335832956,
        0.8440619276251291,
        0.8542467665062977,
        0.8622089601155135,
        0.871694831798014,
        0.8760738683204526,
        0.8840958899396747,
        0.886834542989604,
        0.8906246437501425,
        0.8922410212951387,
        0.8946074838909555,
        0.8957027667188933,
        0.8953598602785837,
        0.894854884064397,
        0.8942153271856882,
        0.8942002681578861,
        0.893685713951939,
        0.8934341818309928,
        0.893956984434458,
        0.8942909780496214,
        0.8942836567458605,
        0.8942151681155577,
        0.8960304433115426,
        0.8957834848446997,
        0.8977448895210574,
        0.8975016181436728,
        0.9016469289587382,
        0.9019234634301521,
        0.9005138757412149,
        0.9007116604712261,
        0.9021371458674399,
        0.9026410352299999,
        0.9031616897875215,
        0.9033593181660309,
        0.9038724542133941,
        0.9040245546989145,
        0.9041431697689905,
        0.9044695703414398,
        0.9043492696839808,
        0.9040334957249802,
        0.9042159024138555,
        0.9041662992594085,
        0.9047944252133024,
        0.9048952219808087,
        0.9045477796933992,
        0.9045504624666376,
        0.9040280704088688,
        0.9038267699689032,
        0.9036784314213948,
        0.9040315750282599,
        0.9039558304456312,
        0.9037091849257279,
        0.9037358338227548,
        0.9038382182951434,
        0.9030083433568711,
        0.9030254267071282,
        0.9052700129324086,
        0.9078427726937257,
        0.9101833729367577,
        0.9112662752009922,
        0.9102019120004878,
        0.8875580572977216,
        0.8749996559141138,
        0.5218388757229852,
        0.4673827787413793,
        0.46853396785157975,
        0.4696851569617802,
        0.4716255816930231,
        0.4707915134164067,
        0.4711979713875873,
        0.4723500446672635,
        0.47273406909382226,
        0.47350211794693975,
        0.4738459672237421,
        0.4738459672237421,
        0.4749998129231506,
        0.4745956558945528,
        0.47575038985050067,
        0.47694062706102913,
        0.4777092662666069,
        0.4773075043219675,
        0.4765382738556952,
        0.4773597510297831,
        0.4777434807331833,
        0.4765382738556952,
        0.4765382738556952,
        0.47615365862255904,
        0.47615365862255904,
        0.47615365862255904,
        0.47615365862255904,
        0.4765382738556952,
        0.4765202124877992,
        0.4773075043219675,
        0.4765382738556952,
        0.4765382738556952,
        0.4765382738556952,
        0.47732494666381803,
        0.47692288908883135,
        0.47732494666381803,
        0.47692288908883135,
        0.4765382738556952,
        0.4765382738556952,
        0.4780767347882398,
        0.4765382738556952,
        0.4765382738556952,
        0.4780767347882398,
        0.4780767347882398,
        0.4780767347882398,
        0.47812721043658346,
        0.4785109401399836,
        0.47692288908883135,
        0.47692288908883135,
        0.47849443549220355,
        0.4785109401399836,
        0.47694062706102913,
        0.4784779054721848,
        0.4765202124877992,
        0.4765202124877992,
        0.47692288908883135,
        0.47569425651584923,
        0.47329702606185964,
        0.47286802937330924,
        0.4724804326279213,
        0.4728890456086821,
        0.4744580163138511,
        0.4740509351556322,
        0.4732556261186972,
        0.47204950179398686,
        0.47142560888118734,
        0.472804784711694,
        0.47321409760433386,
        0.4728469805293607,
        0.47204950179398686,
        0.4724377003974358,
        0.47163928400985744,
        0.47163928400985744,
        0.47125078377591195,
        0.47125078377591195,
        0.47163928400985744,
        0.47200603291828236,
        0.47122842825120115,
        0.472804784711694,
        0.47122842825120115,
        0.47161723058474175,
        0.47161723058474175,
        0.47122842825120115,
        0.47161723058474175,
        0.47122842825120115,
        0.47081693302858385,
        0.47161723058474175,
        0.47200603291828236,
        0.47200603291828236,
        0.4715951428352427,
        0.47081693302858385,
        0.47122842825120115,
        0.47122842825120115,
        0.4708396259176606,
        0.4715951428352427,
        0.47081693302858385,
        0.47122842825120115,
        0.47122842825120115,
        0.47200603291828236,
        0.47122842825120115,
        0.47161723058474175,
        0.47122842825120115,
        0.4708396259176606,
        0.47081693302858385,
        0.47045082358412,
        0.4708396259176606,
        0.47042782812525447,
        0.47042782812525447,
        0.4712060379319133,
        0.47122842825120115,
        0.47204950179398686,
        0.4724377003974358,
        0.47239483525182296,
        0.4747864677341571,
        0.47595016005703494,
        0.47517436517511635,
        0.4747864677341571,
        0.47751919031796475,
        0.4737043754550346,
        0.47407101956318726,
        0.4753084541991292,
        0.4784779054721848,
        0.4781439840416259,
        0.47732494666381803,
        0.4785274194738966,
        0.47812721043658346,
        0.477726386639086,
        0.4777434807331833,
        0.47891085490616736,
        0.4781104110656448,
        0.47849443549220355,
        0.4781104110656448,
        0.47711357088228407,
        0.477726386639086,
        0.4777434807331833,
        0.4777434807331833,
        0.477726386639086,
        0.47849443549220355,
        0.4773423622125273,
        0.4773423622125273,
        0.4777434807331833,
        0.4777434807331833,
        0.47751517320447867,
        0.4773597510297831,
        0.4773423622125273,
        0.4773423622125273,
        0.4773423622125273,
        0.477726386639086,
        0.477726386639086,
        0.4773423622125273,
        0.4777434807331833,
        0.4777092662666069,
        0.47732494666381803,
        0.477726386639086,
        0.47732494666381803,
        0.47732494666381803,
        0.4773423622125273,
        0.4781104110656448,
        0.4773423622125273,
        0.47732494666381803,
        0.47887845991876227,
        0.4781104110656448,
        0.477726386639086,
        0.477726386639086,
        0.4773423622125273,
        0.47732494666381803,
        0.477726386639086,
        0.4950074858342298,
        0.8615484695520242,
        0.8821041078054507,
        0.8856155673793645,
        0.8891998027277441,
        0.8922879123143659,
        0.893379085051311,
        0.8963837799778418,
        0.8979507803382194,
        0.8960332862427544,
        0.8990725994217137,
        0.900059064318351,
        0.8994737374348272,
        0.9016144644125951,
        0.900898254232709,
        0.9014477381003685,
        0.9036101438104152,
        0.9033772087724794,
        0.9236632208686291,
        0.9232843248274623,
        0.9248329271104896,
        0.9096900108858672,
        0.8993646923983728,
        0.8729048473222888,
        0.8730883649586558,
        0.8667042977659034,
        0.8624994742860348,
        0.8669491289485316,
        0.868840063946536,
        0.8675686354383269,
        0.8673721041534155,
        0.8595526741559326,
        0.8569690313478086,
        0.8571653468448579,
        0.8575350076870325,
        0.8585036008278749,
        0.8553624581576521,
        0.8554012675027023,
        0.8555318350592751,
        0.8552974332287605,
        0.8558885325263405,
        0.8537086665351468,
        0.8537619570219104,
        0.8539973856320359,
        0.8532750347904714,
        0.8533860627179523,
        0.8544909322042613,
        0.8562494154670658,
        0.8578761392921288,
        0.860579425600171,
        0.8663324045879365,
        0.9196364043000906,
        0.9089166945528602,
        0.9125288417330475,
        0.9142325014898436,
        0.9094790476664549,
        0.9030067119972983,
        0.8910373915387588,
        0.6291122248619287,
        0.4778792946802449,
        0.4682719879546958,
        0.46939537847709734,
        0.47056556503855557,
        0.4717123535804854,
        0.4732209316839196,
        0.4732004270454681,
        0.47198753518218106,
        0.47360348700460186,
        0.475152719206275,
        0.475516263608013,
        0.474289913402582,
        0.47622680688027214,
        0.47542224007973355,
        0.4762085619195827,
        0.47889466984338375,
        0.4781104110656448,
        0.47737711317708437,
        0.4777775903278726,
        0.4777775903278726,
        0.47816073194000397,
        0.4785438735521354,
        0.4781439840416259,
        0.4781439840416259,
        0.47776054860935513,
        0.4773597510297831,
        0.4773597510297831,
        0.4773597510297831,
        0.4777434807331833,
        0.4777434807331833,
        0.4773423622125273,
        0.477726386639086,
        0.4773423622125273,
        0.477726386639086,
        0.4773423622125273,
        0.47889466984338375,
        0.477726386639086,
        0.47812721043658346,
        0.47849443549220355,
        0.477726386639086,
        0.4849069285817744,
        0.4907046853285833,
        0.4841206445625329,
        0.4787149805711532,
        0.4817544668802119,
        0.5023308024915533,
        0.5089353064686271,
        0.49650057993133984,
        0.5326591969506151,
        0.5217558141888291,
        0.592995872674018,
        0.5889663546614036,
        0.5819097065700545,
        0.5657800545967484,
        0.5559438347760346,
        0.563423900020983,
        0.5418091226410343,
        0.5404982268418285,
        0.543399316027687,
        0.5447817142303445,
        0.5459857524982811,
        0.546303284274489,
        0.5404667107245479,
        0.5424783493773071,
        0.5404667107245479,
        0.5440371952088512,
        0.5339046973038152,
        0.537742976401242,
        0.5307630282315651,
        0.5338782917868493,
        0.5257408196729332,
        0.5284487368934113,
        0.5245516223145513,
        0.5261104681460953,
        0.5218406652243209,
        0.5222306806691821,
        0.5206706188897372,
        0.5210606343345984,
        0.5198905880000148,
        0.5200660949502022,
        0.5183305262205699,
        0.5183305262205699,
        0.516770464441125,
        0.516770464441125,
        0.5163804489962637,
        0.5159904335514025,
        0.5148319566011227,
        0.5152222765075678,
        0.5148319566011227,
        0.5148203872168188,
        0.5144416366946776,
        0.5144303717719576,
        0.5148088358674014,
        0.5151985473252874,
        0.5155882587831734,
        0.5151867104551434,
        0.5167443422327856,
        0.5151985473252874,
        0.5179405107757086,
        0.516770464441125,
        0.5214506497794597,
        0.5179405107757086,
        0.5234007270037658,
        0.5210442191935774,
        0.5265208505626556,
        0.5268898910618673,
        0.5335149858459293,
        0.5319312520647966,
        0.5366326775090172,
        0.5381617791753652,
        0.5513616480177713,
        0.5540433252953479,
        0.5517105112941043,
        0.5596256535242911,
        0.5580215843403028,
        0.563423900020983,
        0.5793772010574887,
        0.580870686309649,
        0.6128402227438178,
        0.6219888745467724,
        0.6343310071714808,
        0.6131412799935183,
        0.5994558609779325,
        0.5361303228448132,
        0.5272159642810469,
        0.5221443144227746,
        0.5023308024915533,
        0.49611177759779923,
        0.4996109985996646,
        0.5256408165282843,
        0.48528253410948297,
        0.4814095689529827,
        0.47569425651584923,
        0.47758868274698174,
        0.48146699111112007,
        0.4822665790898315,
        0.4792942903384381,
        0.477726386639086,
        0.477726386639086,
        0.47732494666381803,
        0.4784779054721848,
        0.4777092662666069,
        0.4831027286109085,
        0.509389200608855,
        0.8550735884810466,
        0.8651034258778216,
        0.8771199313142599,
        0.8804386551790275,
        0.8877926136329545,
        0.8913930863440591,
        0.8965851969767497,
        0.8971642932493464,
        0.9008804740690397,
        0.9020328573810544,
        0.9037884146860236,
        0.9050685327597726,
        0.906618438875971,
        0.9074918436197786,
        0.9056111643849484,
        0.9081135050703992,
        0.9059001886414564,
        0.906224810177043,
        0.9021391552316631,
        0.90173249223412,
        0.9043901131836876,
        0.9025375213991482,
        0.9059955578294914,
        0.892299201437846,
        0.882427815775572,
        0.8692637841430315,
        0.8543131014646467,
        0.859663452345638,
        0.8583833114552696,
        0.8595991993561101,
        0.8589516176422552,
        0.8643241156463389,
        0.8719540250903708,
        0.8855332447466585,
        0.8888192678531224,
        0.8826565948479826,
        0.8942028074123688,
        0.8903942769440175,
        0.9999993816428945,
        0.9212717809411064,
        0.944591886762704,
        0.9277033895108656,
        0.9297847843360862,
        0.922795628470164,
        0.926113973511353,
        0.8916100176393925,
        0.45371061032912585,
        0.459128926605034,
        0.4686542508020058,
        0.46860624814211405,
        0.46937194462600634,
        0.47130815508050844,
        0.4716907104011907,
        0.47243473056157576,
        0.47200901712529386,
        0.4732004270454681,
        0.47394617420655843,
        0.4747124574308213,
        0.4743096297189184,
        0.4754599360157306,
        0.47622680688027214,
        0.47659229162298283,
        0.47622680688027214,
        0.47889466984338375,
        0.47966212925018403,
        0.4781439840416259,
        0.47816073194000397,
        0.47737711317708437,
        0.4785274194738966,
        0.4781439840416259,
        0.4781439840416259,
        0.4785274194738966,
        0.4777434807331833,
        0.4773597510297831,
        0.4773423622125273,
        0.4777434807331833,
        0.4777434807331833,
        0.477726386639086,
        0.4781104110656448,
        0.4765382738556952,
        0.477726386639086,
        0.4773423622125273,
        0.47732494666381803,
        0.47694062706102913,
        0.47732494666381803,
        0.47732494666381803,
        0.477726386639086,
        0.477726386639086,
        0.47751517320447867,
        0.4773423622125273,
        0.47694062706102913,
        0.47732494666381803,
        0.47732494666381803,
        0.477726386639086,
        0.4796777257707089,
        0.4780767347882398,
        0.4972908246030168,
        0.5069657433696125,
        0.5488748789573793,
        0.5578413931562164,
        0.573929732410877,
        0.5844355648007711,
        0.5886467329804609,
        0.5995331983195975,
        0.5879375089307357,
        0.5813227255741358,
        0.5804193495146022,
        0.582490040284124,
        0.5824258956438113,
        0.5841774753711088,
        0.5833980524553368,
        0.5874123537256215,
        0.5740449774660729,
        0.5704277882809123,
        0.5585021170412762,
        0.562353633729493,
        0.5456316073608557,
        0.5491417463646068,
        0.535881221239325,
        0.5397813756879373,
        0.5304210050112679,
        0.5327355629301572,
        0.5249413337724373,
        0.5269108660075168,
        0.5210606343345984,
        0.5214506497794597,
        0.5175504953308474,
        0.5183305262205699,
        0.5148203872168188,
        0.5152104026616801,
        0.5124802945476514,
        0.5124802945476514,
        0.5109202327682065,
        0.5109032230666275,
        0.5097349992333959,
        0.5097425869148835,
        0.5093528754569975,
        0.5093528754569975,
        0.5085734525412254,
        0.5078001092093167,
        0.5077940296254535,
        0.5077940296254535,
        0.5068031818135361,
        0.5070146067096815,
        0.5060208424920721,
        0.5062351837939095,
        0.5058454723360235,
        0.5050660494202515,
        0.5054600165401494,
        0.5058454723360235,
        0.5074100937644554,
        0.5054600165401494,
        0.5112926310110381,
        0.5074100937644554,
        0.5136397014937434,
        0.5112926310110381,
        0.5124608548442697,
        0.5093528754569975,
        0.5155639969114658,
        0.5124705671200854,
        0.5130356487340201,
        0.511866514360362,
        0.5132499900358574,
        0.5144191244095154,
        0.5179125660660172,
        0.5190511152766943,
        0.5147628099778099,
        0.5147399041529628,
        0.5175368160726034,
        0.5163422067181246,
        0.5326591969506151,
        0.531881592283534,
        0.5400464412878865,
        0.5248831502798033,
        0.525291619494701,
        0.5244943479462627,
        0.5384912319537241,
        0.537742976401242,
        0.5517507529211008,
        0.5610417672990786,
        0.5622081742997004,
        0.5692604735709241,
        0.5729811386907274,
        0.5704277882809123,
        0.5852137746074298,
        0.5846928520880028,
        0.6036819309417452,
        0.6136184325504767,
        0.6169132378335325,
        0.6238297040555316,
        0.6333446795218393,
        0.640576670788265,
        0.6404053604621337,
        0.6451799919026991,
        0.6483578327136744,
        0.6511855071881583,
        0.6605893419536516,
        0.6640382000095704,
        0.6673742535168974,
        0.6723135421066457,
        0.6746121353477416,
        0.6773253125654572,
        0.686968018772138,
        0.6897821653702652,
        0.7059049250790042,
        0.7033796735583583,
        0.7086902861656846,
        0.7165839207674873,
        0.7299462385542596,
        0.730015085497522,
        0.7366102699736355,
        0.7446233630974178,
        0.7651803291527067,
        0.7542207320329893,
        0.7615115963975921,
        0.7544125968846894,
        0.7549843661411078,
        0.7494245523731818,
        0.7490411169409111,
        0.7358125945275702,
        0.731594804772592,
        0.7092501049570139,
        0.7005365347586612,
        0.6861087096794632,
        0.6717334529290974,
        0.6587420726411494,
        0.6556021982591516,
        0.651456799428005,
        0.5441287194214087,
        0.4892636115774776,
        0.48427895095795787,
        0.4858018045045864,
        0.4923252094623889,
        0.5458715211319363,
        0.8693396430530336,
        0.8773002690354771,
        0.8802881148403732,
        0.8865665210559418,
        0.886712240947506,
        0.8902170309951621,
        0.894690079873573,
        0.8982897327638811,
        0.902002779398725,
        0.9057091480164435,
        0.9071891103790944,
        0.9072853964994964,
        0.9108783295678905,
        0.9123884663355741,
        0.9171095590542993,
        0.9161985011278007,
        0.9241253087069923,
        0.923030243824393,
        0.8774007511687091,
        0.8753314101332245,
        0.9245414596728059,
        0.9033286809002165,
        0.8874994590479488,
        0.8909720979147586,
        0.8868377011048201,
        0.8848937123074554,
        0.8792923773090323,
        0.8765436296614586,
        0.8726629548685809,
        0.8712166159207703,
        0.8702568488190968,
        0.8708440354516335,
        0.8719547409461065,
        0.8712140699036288,
        0.8701073610054402,
        0.8688476488721857,
        0.8663044854712169,
        0.8644384451627647,
        0.8667471247053122,
        0.8756538634361544,
        0.8821869354003614,
        0.9126269201288469,
        0.8958576437577151,
        0.9282066506983927,
        0.9191377622623135,
        0.9199826774952473,
        0.918632628440011,
        0.9186088031641746,
        0.9132400876235971,
        0.9049849423456288,
        0.846712206791552,
        0.4725188992903233,
        0.4682719879546958,
        0.4682719879546958,
        0.46941877649662567,
        0.46980103934393563,
        0.47092559975982623,
        0.4717123535804854,
        0.4732209316839196,
        0.47281757880352193,
        0.4724136077580328,
        0.47339308157822657,
        0.4743489717713066,
        0.47511466825519894,
        0.4754599360157306,
        0.4762085619195827,
        0.47619028893285104,
        0.4785109401399836,
        0.47969329838852964,
        0.47892701516426683,
        0.4777775903278726,
        0.4793101567763982,
        0.4785438735521354,
        0.4785438735521354,
        0.4781439840416259,
        0.4785438735521354,
        0.47892701516426683,
        0.4781439840416259,
        0.4781439840416259,
        0.4781439840416259,
        0.4785438735521354,
        0.4792942903384381,
        0.4861961281193116,
        0.5011509926405923,
        0.5932461214566276,
        0.6937833037474662,
        0.6975803708439708,
        0.6927800655119865,
        0.696085681967867,
        0.7021886639626759,
        0.714207317210939,
        0.6884110878998642,
        0.6924402497855656,
        0.6740965832917366,
        0.6733868319707695,
        0.6561777928142517,
        0.6498462527081493,
        0.6411287801398345,
        0.6352645239789437,
        0.6227899163194179,
        0.6149997577847107,
        0.6040059250762453,
        0.5985371004996185,
        0.5826285178279775,
        0.5775727375443612,
        0.5684086925247882,
        0.5576477436466989,
        0.54416261243375,
        0.5323323536919436,
        0.5276708146291644,
        0.5146151819361745,
        0.5053844163409068,
        0.4961506897389121,
        0.4895911714181343,
        0.4842305785184183,
        0.47924654467776256,
        0.4761353011691499,
        0.47958378617342173,
        0.4803390547929097,
        0.4818950333357033,
        0.47998441435564265,
        0.47879703535537227,
        0.47881337045266126,
        0.47802602563660357,
        0.47764052077721925,
        0.47841153049598795,
        0.47764052077721925,
        0.47881337045266126,
        0.47802602563660357,
        0.47765774687152046,
        0.4772725390111402,
        0.47918254021475665,
        0.47725501591783487,
        0.47881337045266126,
        0.47879703535537227,
        0.4772725390111402,
        0.47764052077721925,
        0.4768695110584505,
        0.47802602563660357,
        0.47802602563660357,
        0.47688733115075993,
        0.4772725390111402,
        0.47881337045266126,
        0.4768516634660095,
        0.4768695110584505,
        0.47725501591783487,
        0.4780429547319007,
        0.4760985013396818,
        0.47667546682755074,
        0.47802602563660357,
        0.4780598577623963,
        0.4780429547319007,
        0.4764658611492894,
        0.47688733115075993,
        0.47725501591783487,
        0.4768695110584505,
        0.47648400619906617,
        0.47665748338578906,
        0.4765021232903797,
        0.47688733115075993,
        0.4772725390111402,
        0.4765021232903797,
        0.47767494644374703,
        0.4765021232903797,
        0.4764658611492894,
        0.47569425651584923,
        0.4768516634660095,
        0.4760985013396818,
        0.47648400619906617,
        0.47569425651584923,
        0.47729003512509777,
        0.4773075043219675,
        0.47648400619906617,
        0.4760985013396818,
        0.4768695110584505,
        0.4765021232903797,
        0.4760985013396818,
        0.47648400619906617,
        0.4765021232903797,
        0.4765021232903797,
        0.4753084541991292,
        0.4760985013396818,
        0.4760985013396818,
        0.47569425651584923,
        0.4760800588325693,
        0.47569425651584923,
        0.4760985013396818,
        0.47648400619906617,
        0.47648400619906617,
        0.4760985013396818,
        0.4760985013396818,
        0.4760985013396818,
        0.4765021232903797,
        0.4760800588325693,
        0.4758864736670203,
        0.4760985013396818,
        0.47488389247252477,
        0.47488389247252477,
        0.4756378627017898,
        0.4752702910831615,
        0.47488389247252477,
        0.47447777035373667,
        0.47525116525243877,
        0.47604308830443487,
        0.47604308830443487,
        0.4756378627017898,
        0.47565668969379815,
        0.47488389247252477,
        0.47447777035373667,
        0.47525116525243877,
        0.4764294869150716,
        0.47604308830443487,
        0.47565668969379815,
        0.47718465249919406,
        0.4763930000671702,
        0.47523200981517877,
        0.4752702910831615,
        0.4756754876093825,
        0.47447777035373667,
        0.4736840228125234,
        0.47525116525243877,
        0.47604308830443487,
        0.47758868274698174,
        0.4806798716320755,
        0.4876350466235364,
        0.49729291986544855,
        0.5034773896596417,
        0.5123645577042862,
        0.521235315156385,
        0.5335387253879511,
        0.544965196754665,
        0.5603971867556401,
        0.5752108253968207,
        0.5816715507547285,
        0.592963724235102,
        0.6030648974948448,
        0.6171393282397729,
        0.6214502546565385,
        0.6255749077497295,
        0.6331415140471608,
        0.64628042109235,
        0.6529905411570881,
        0.6788178453148604,
        0.6781606534726018,
        0.6967430216609753,
        0.7101529780855749,
        0.7084288408309835,
        0.7051377599459102,
        0.704788995515735,
        0.7084288408309835,
        0.7134678947119922,
        0.7323616756371335,
        0.8604291100155641,
        0.8645510409124747,
        0.8692437106271835,
        0.8759582450225295,
        0.8765357536203487,
        0.8826310263469199,
        0.8832681305577564,
        0.8861237676070499,
        0.8920406172381433,
        0.8969017685763966,
        0.8988463954578932,
        0.9032746164621529,
        0.9033772087724794,
        0.9061017634667957,
        0.9064480443639692,
        0.905973523005266,
        0.906624329183328,
        0.9076385200706966,
        0.9174710516844217,
        0.9170096718284345,
        0.9127671387458471,
        0.999999374465877,
        0.9999993651584936,
        0.8770767441304761,
        0.8631342902965459,
        0.9073791449171709,
        0.8857156060590781,
        0.8883142462870679,
        0.9074255687735058,
        0.8856463309448123,
        0.8777534127783478,
        0.9148480263297415,
        0.9067561067592166,
        0.9133891628050551,
        0.9191145040992541,
        0.9242769558279885,
        0.9253776594947315,
        0.9104647549163143,
        0.9157862571867708,
        0.9037537747737664,
        0.904952711429564,
        0.9237326361591229,
        0.9039939474088393,
        0.906373345951581,
        0.9055826374242605,
        0.9074601070200989,
        0.9057567320603731,
        0.9052937541094885,
        0.8980465157813936,
        0.8853128699158217,
        0.8334924049364105,
        0.46939537847709734,
        0.4701833021912456,
        0.4721159345123312,
        0.4722666347090848,
        0.4736236678170352,
        0.47281757880352193,
        0.4724136077580328,
        0.4739661235293604,
        0.47432931581868987,
        0.4747124574308213,
        0.47582483221618255,
        0.4762085619195827,
        0.47622680688027214,
        0.47737711317708437,
        0.47776054860935513,
        0.4781439840416259,
        0.47891085490616736,
        0.4800764400006611,
        0.47969329838852964,
        0.47894315067466064,
        0.4793101567763982,
        0.47891085490616736,
        0.4785438735521354,
        0.4793101567763982,
        0.4785438735521354,
        0.4785438735521354,
        0.47891085490616736,
        0.4785438735521354,
        0.4781439840416259,
        0.4777434807331833,
        0.4785109401399836,
        0.47812721043658346,
        0.4777434807331833,
        0.47889466984338375,
        0.4773423622125273,
        0.4777434807331833,
        0.4777434807331833,
        0.4785274194738966,
        0.4785274194738966,
        0.4777434807331833,
        0.4777434807331833,
        0.477726386639086,
        0.477726386639086,
        0.4786836185065136,
        0.47812721043658346,
        0.4785109401399836,
        0.477726386639086,
        0.477726386639086,
        0.4781104110656448,
        0.4781104110656448,
        0.47849443549220355,
        0.477726386639086,
        0.47732494666381803,
        0.4785109401399836,
        0.4781104110656448,
        0.477726386639086,
        0.4785109401399836,
        0.4777092662666069,
        0.4781104110656448,
        0.47889466984338375,
        0.47812721043658346,
        0.47812721043658346,
        0.477726386639086,
        0.47889466984338375,
        0.477726386639086,
        0.477726386639086,
        0.477726386639086,
        0.4777092662666069,
        0.4778991976310374,
        0.477726386639086,
        0.48195065533123227,
        0.5072906678949947,
        0.6136710336408838,
        0.6653223190130358,
        0.6765154670944595,
        0.6768430518097983,
        0.708611472496871,
        0.752007774767117,
        0.746735497443491,
        0.7571041569605772,
        0.7526878760551516,
        0.7403990944052716,
        0.7342667874561817,
        0.7186776572152493,
        0.7081088681385546,
        0.6970743980738323,
        0.6872108229183811,
        0.678158438199445,
        0.6635799847585245,
        0.6571425973304943,
        0.6405402872921798,
        0.6354164156379593,
        0.6231686051948142,
        0.6190290316310754,
        0.6029183496972388,
        0.5977586506550007,
        0.579799308514074,
        0.5717590333791472,
        0.5552975372681058,
        0.5514703696959525,
        0.5343892785105792,
        0.5289573198253685,
        0.5119781590936495,
        0.5069549771553722,
        0.48917227342907654,
        0.48762548363167235,
        0.47606158784283165,
        0.47797508135761846,
        0.47565668969379815,
        0.4764294869150716,
        0.4756378627017898,
        0.477202284136345,
        0.4779409870698255,
        0.4783447448472472,
        0.47873144229659825,
        0.47873144229659825,
        0.4787478785788919,
        0.4783614799682552,
        0.4768158855257083,
        0.477202284136345,
        0.47602456015114086,
        0.4764112576004919,
        0.47525116525243877,
        0.47721988854317915,
        0.47644768807628085,
        0.4768516634660095,
        0.47725501591783487,
        0.4783948727328898,
        0.4780090704161697,
        0.4768516634660095,
        0.47644768807628085,
        0.4772374657827295,
        0.47644768807628085,
        0.4752893873759333,
        0.47683378830973,
        0.47604308830443487,
        0.47565668969379815,
        0.4758305690685846,
        0.4764294869150716,
        0.4768158855257083,
        0.4752702910831615,
        0.47606158784283165,
        0.47644768807628085,
        0.47565668969379815,
        0.4764294869150716,
        0.47606158784283165,
        0.4768158855257083,
        0.47606158784283165,
        0.4752702910831615,
        0.47644768807628085,
        0.47606158784283165,
        0.4756754876093825,
        0.47644768807628085,
        0.4756754876093825,
        0.47606158784283165,
        0.47604308830443487,
        0.47644768807628085,
        0.47683378830973,
        0.47606158784283165,
        0.47683378830973,
        0.4754631324809854,
        0.47545270699386805,
        0.47606158784283165,
        0.4756754876093825,
        0.47606158784283165,
        0.4764294869150716,
        0.47606158784283165,
        0.4768516634660095,
        0.4760800588325693,
        0.4756754876093825,
        0.47644768807628085,
        0.47565668969379815,
        0.47604308830443487,
        0.47606158784283165,
        0.47683378830973,
        0.47683378830973,
        0.4764658611492894,
        0.4752893873759333,
        0.4756754876093825,
        0.47488389247252477,
        0.4756754876093825,
        0.47644768807628085,
        0.4760800588325693,
        0.47569425651584923,
        0.47606158784283165,
        0.4756754876093825,
        0.4752893873759333,
        0.4752893873759333,
        0.47586786755837324,
        0.4760985013396818,
        0.47569425651584923,
        0.4752893873759333,
        0.4752893873759333,
        0.47569425651584923,
        0.4764658611492894,
        0.47606158784283165,
        0.4752893873759333,
        0.4752702910831615,
        0.4760800588325693,
        0.4776232680994496,
        0.4760800588325693,
        0.47569425651584923,
        0.47569425651584923,
        0.4760800588325693,
        0.47665748338578906,
        0.4770429882451734,
        0.4764658611492894,
        0.4760800588325693,
        0.47769211955510366,
        0.47569425651584923,
        0.4760800588325693,
        0.4772725390111402,
        0.47963086428055146,
        0.47769211955510366,
        0.47926248434532104,
        0.4800305331984385,
        0.47985027171523065,
        0.4820197040596109,
        0.4793101567763982,
        0.48315448133606853,
        0.48286519444078485,
        0.4850458218224994,
        0.49731781254657464,
        0.4949688440990339,
        0.5162285438106534,
        0.5283958015820027,
        0.5295948043983334,
        0.5535436953664313,
        0.5681291063263261,
        0.5709272858029849,
        0.5973517867257673,
        0.6000776423366411,
        0.6139016243632152,
        0.6213003753070154,
        0.6428846585093738,
        0.6464977968818116,
        0.6658894009826158,
        0.6726141626233892,
        0.6847823364840401,
        0.6879374690863936,
        0.7210113858693933,
        0.6998153274026027,
        0.663585849685062,
        0.5154676999849479,
        0.4927145304679144,
        0.4919599909008305,
        0.48964704700974837,
        0.48312864466114563,
        0.48006116120297965,
        0.4785274194738966,
        0.47892701516426683,
        0.4785274194738966,
        0.47891085490616736,
        0.4785274194738966,
        0.4785274194738966,
        0.47812721043658346,
        0.47891085490616736,
        0.4858018045045864,
        0.8508246848639764,
        0.8567724952666788,
        0.8664551124231815,
        0.8664022847001779,
        0.8722716706133317,
        0.872659557876994,
        0.8778294695950909,
        0.8763775994446212,
        0.8814651635500284,
        0.8829720849750334,
        0.885235863589951,
        0.8845953342685324,
        0.8867307145062099,
        0.8873719918818068,
        0.8881731737363986,
        0.8883501148455231,
        0.8902916686429878,
        0.8903158451844168,
        0.8914885810093574,
        0.8921121504630833,
        0.8932635841704987,
        0.8933473646830057,
        0.8937988522637698,
        0.8943894032067917,
        0.895312323664914,
        0.895224579041054,
        0.8968967327485253,
        0.896571742281535,
        0.897619622674078,
        0.8974759783062295,
        0.8977179703921314,
        0.8979768580014522,
        0.8977179703921314,
        0.8977358585505829,
        0.8967516069788797,
        0.8969311886477036,
        0.896079228689862,
        0.8960460591852224,
        0.8951259208330927,
        0.8947312880012475,
        0.8947364822426717,
        0.8949016014199059,
        0.8945862535211324,
        0.8950310618571062,
        0.8958329727464763,
        0.8920004271193249,
        0.8977886271002504,
        0.88684479656045,
        0.8868498057590974,
        0.654520003735289,
        0.47133009073317544,
        0.4714803049748154,
        0.4732209316839196,
        0.47200901712529386,
        0.47198753518218106,
        0.4743489717713066,
        0.47511466825519894,
        0.47469306515118914,
        0.4738660702387179,
        0.47542224007973355,
        0.4762085619195827,
        0.47619028893285104,
        0.47657431335940975,
        0.47657431335940975,
        0.4781104110656448,
        0.4785109401399836,
        0.4785274194738966,
        0.4796777257707089,
        0.47892701516426683,
        0.48006116120297965,
        0.4785274194738966,
        0.4781439840416259,
        0.4796777257707089,
        0.47891085490616736,
        0.4785274194738966,
        0.477726386639086,
        0.4786836185065136,
        0.47812721043658346,
        0.4785109401399836,
        0.47927839954678386,
        0.47812721043658346,
        0.47849443549220355,
        0.4781104110656448,
        0.47849443549220355,
        0.4781104110656448,
        0.4785109401399836,
        0.47812721043658346,
        0.47812721043658346,
        0.4781104110656448,
        0.47812721043658346,
        0.47812721043658346,
        0.4781104110656448,
        0.47788985771285203,
        0.477726386639086,
        0.4781104110656448,
        0.4834867530374673,
        0.48962317395306293,
        0.4957787767929902,
        0.5107359957846397,
        0.5392607574276306,
        0.6115411982113915,
        0.6205423893661214,
        0.6291761288747646,
        0.6488324263017881,
        0.6655639371449527,
        0.68589716303081,
        0.6711445921915644,
        0.66874486173237,
        0.6551049607063602,
        0.6471158758196972,
        0.6293840044858844,
        0.6274354471964544,
        0.6036962575155768,
        0.5998437541965661,
        0.5793772010574887,
        0.5730378450696374,
        0.5525906551226485,
        0.5439344646232924,
        0.5368538944762964,
        0.5229883005593794,
        0.5015406342150965,
        0.4957690355125029,
        0.48694297287649607,
        0.48502285074370227,
        0.47889466984338375,
        0.4780767347882398,
        0.4780429547319007,
        0.47688733115075993,
        0.4768695110584505,
        0.47725501591783487,
        0.47882968039969487,
        0.47764052077721925,
        0.47764052077721925,
        0.47923058048764827,
        0.4768516634660095,
        0.4768516634660095,
        0.47604308830443487,
        0.47721988854317915,
        0.47644768807628085,
        0.477202284136345,
        0.4764294869150716,
        0.4764294869150716,
        0.4768158855257083,
        0.477202284136345,
        0.47606158784283165,
        0.47604308830443487,
        0.47683378830973,
        0.47683378830973,
        0.4764294869150716,
        0.4764294869150716,
        0.47683378830973,
        0.47683378830973,
        0.47604308830443487,
        0.4758305690685846,
        0.4764294869150716,
        0.4760800588325693,
        0.47683378830973,
        0.47721988854317915,
        0.47721988854317915,
        0.47721988854317915,
        0.47606158784283165,
        0.47604308830443487,
        0.47488389247252477,
        0.47683378830973,
        0.4756754876093825,
        0.47604308830443487,
        0.477202284136345,
        0.47565668969379815,
        0.47565668969379815,
        0.4756754876093825,
        0.47606158784283165,
        0.47565668969379815,
        0.47565668969379815,
        0.47644768807628085,
        0.47604308830443487,
        0.4756754876093825,
        0.47644768807628085,
        0.47721988854317915,
        0.47606158784283165,
        0.4756754876093825,
        0.47565668969379815,
        0.47606158784283165,
        0.4764294869150716,
        0.47604308830443487,
        0.47488389247252477,
        0.47604308830443487,
        0.47683378830973,
        0.4752702910831615,
        0.47683378830973,
        0.47565668969379815,
        0.4752702910831615,
        0.47565668969379815,
        0.47604308830443487,
        0.4756754876093825,
        0.47606158784283165,
        0.47565668969379815,
        0.47565668969379815,
        0.4766114998454251,
        0.4756754876093825,
        0.4768695110584505,
        0.4762719785264047,
        0.47648400619906617,
        0.4760985013396818,
        0.47725501591783487,
        0.47764052077721925,
        0.4768695110584505,
        0.4772725390111402,
        0.4768695110584505,
        0.4765021232903797,
        0.47729003512509777,
        0.47767494644374703,
        0.4780598577623963,
        0.47769211955510366,
        0.47648400619906617,
        0.4768695110584505,
        0.47725501591783487,
        0.47767494644374703,
        0.4769051238064485,
        0.47692288908883135,
        0.4760985013396818,
        0.4780767347882398,
        0.4792942903384381,
        0.4773075043219675,
        0.47891085490616736,
        0.47892701516426683,
        0.480489482776882,
        0.48166520503240257,
        0.4800764400006611,
        0.47995354993352535,
        0.47718465249919406,
        0.4768158855257083,
        0.47635640008180086,
        0.4825308640871099,
        0.4873879270466735,
        0.5175764659692217,
        0.5427224635236051,
        0.5136397014937434,
        0.5301622030602877,
        0.5447528712087422,
        0.561622240600166,
        0.5689787285135549,
        0.5871592991240769,
        0.5961835628925356,
        0.6192515065808485,
        0.6229456238721499,
        0.6491430433323689,
        0.6496106361084469,
        0.673616254955945,
        0.6713894846650496,
        0.6886166646684286,
        0.6739888451926215,
        0.6916793513687185,
        0.6614459871149687,
        0.575077171486446,
        0.5389959258950471,
        0.4999998027735755,
        0.4849766962187454,
        0.4773423622125273,
        0.4777434807331833,
        0.47812721043658346,
        0.47812721043658346,
        0.4785274194738966,
        0.4785274194738966,
        0.47812721043658346,
        0.4785274194738966,
        0.47751517320447867,
        0.47812721043658346,
        0.477726386639086,
        0.47812721043658346,
        0.47812721043658346,
        0.4907902906487883,
        0.8304870105837686,
        0.8584992789319794,
        0.8660642248847938,
        0.8705491906182774,
        0.8725639542067463,
        0.8765682754486611,
        0.8811955537591475,
        0.8870169786030787,
        0.8894887368568335,
        0.8921215702563389,
        0.893324737247221,
        0.8950468095409068,
        0.8965949734967887,
        0.8962058685934593,
        0.8960933915626433,
        0.8972067809388116,
        0.8962260543492611,
        0.8962427546213293,
        0.8940996337767899,
        0.8949517492296124,
        0.8944463047662324,
        0.8944307227976521,
        0.8947312034436088,
        0.8949315238742466,
        0.8946705249023279,
        0.8942764848607994,
        0.8932035134949846,
        0.8922586136957432,
        0.8922727253935933,
        0.8934955630327411,
        0.8940588339350178,
        0.8936533190993516,
        0.8941993065238116,
        0.8942847674686583,
        0.8937647638357069,
        0.8932898485332235,
        0.8929866958696941,
        0.894122014661456,
        0.8941763391017785,
        0.8946625537181159,
        0.8974781395552717,
        0.8967913721338695,
        0.896960424122559,
        0.8975471047910462,
        0.9011781596574824,
        0.8853922607229888,
        0.6929116055396612,
        0.472497905333134,
        0.4682719879546958,
        0.4732414049697252,
        0.4716255816930231,
        0.4720304661459014,
        0.47360348700460186,
        0.47394617420655843,
        0.4745212534801823,
        0.4743096297189184,
        0.47505737280938226,
        0.4758433714480014,
        0.47582483221618255,
        0.47542224007973355,
        0.4762085619195827,
        0.4769583377859685,
        0.47812721043658346,
        0.4785274194738966,
        0.48006116120297965,
        0.47927839954678386,
        0.47891085490616736,
        0.4785438735521354,
        0.47892701516426683,
        0.47892701516426683,
        0.4781439840416259,
        0.4785274194738966,
        0.4781439840416259,
        0.4781439840416259,
        0.4785274194738966,
        0.4785109401399836,
        0.47812721043658346,
        0.4785274194738966,
        0.47812721043658346,
        0.47812721043658346,
        0.47812721043658346,
        0.47812721043658346,
        0.4785109401399836,
        0.4781104110656448,
        0.477726386639086,
        0.4785109401399836,
        0.4785109401399836,
        0.477726386639086,
        0.4781104110656448,
        0.47812721043658346,
        0.47812721043658346,
        0.477726386639086,
        0.47812721043658346,
        0.477726386639086,
        0.477726386639086,
        0.477726386639086,
        0.47732494666381803,
        0.4773423622125273,
        0.477726386639086,
        0.47927839954678386,
        0.4942350091865298,
        0.5115205361762561,
        0.5355028616148501,
        0.5872584550761938,
        0.6234493649565311,
        0.6309151877202668,
        0.663431413294345,
        0.6545947545541165,
        0.6647857273382938,
        0.6783224961677864,
        0.6735405876632055,
        0.6725075199970013,
        0.6619249112193651,
        0.6394504445662829,
        0.633956133500358,
        0.6331739484138257,
        0.6044744673222355,
        0.6006996053202193,
        0.5813860610049352,
        0.5670540385025832,
        0.5541275048961974,
        0.5413414374673822,
        0.5356592988822384,
        0.5243994821901357,
        0.5065685785447355,
        0.49462346140767105,
        0.48694297287649607,
        0.48502285074370227,
        0.4781104110656448,
        0.47767494644374703,
        0.47844476908104555,
        0.4764658611492894,
        0.4756754876093825,
        0.47725501591783487,
        0.47644768807628085,
        0.4776232680994496,
        0.4776232680994496,
        0.47683378830973,
        0.4768516634660095,
        0.47683378830973,
        0.47602456015114086,
        0.47602456015114086,
        0.47484501306451493,
        0.47602456015114086,
        0.4756378627017898,
        0.47683378830973,
        0.47764052077721925,
        0.47802602563660357,
        0.4776232680994496,
        0.47683378830973,
        0.47644768807628085,
        0.47604308830443487,
        0.47565668969379815,
        0.47644768807628085,
        0.47565668969379815,
        0.4768516634660095,
        0.4760800588325693,
        0.47683378830973,
        0.4756754876093825,
        0.4776232680994496,
        0.4756754876093825,
        0.47604308830443487,
        0.47644768807628085,
        0.4768158855257083,
        0.4756754876093825,
        0.4758492327144345,
        0.47721988854317915,
        0.47721988854317915,
        0.47606158784283165,
        0.47644768807628085,
        0.4756754876093825,
        0.47644768807628085,
        0.47604308830443487,
        0.47644768807628085,
        0.47683378830973,
        0.47683378830973,
        0.4758492327144345,
        0.47606158784283165,
        0.47721988854317915,
        0.47721988854317915,
        0.47644768807628085,
        0.4756754876093825,
        0.47606158784283165,
        0.47606158784283165,
        0.47721988854317915,
        0.47760598877662835,
        0.4776232680994496,
        0.47683378830973,
        0.47721988854317915,
        0.4768516634660095,
        0.4764658611492894,
        0.4764658611492894,
        0.4776232680994496,
        0.47606158784283165,
        0.4780090704161697,
        0.4756754876093825,
        0.4760800588325693,
        0.4764658611492894,
        0.4760800588325693,
        0.4772374657827295,
        0.4768516634660095,
        0.4764658611492894,
        0.47765774687152046,
        0.47844476908104555,
        0.47688733115075993,
        0.47844476908104555,
        0.47765774687152046,
        0.47765774687152046,
        0.47802602563660357,
        0.4780429547319007,
        0.4780429547319007,
        0.4772374657827295,
        0.4780429547319007,
        0.47844476908104555,
        0.47844476908104555,
        0.4780767347882398,
        0.480798582051556,
        0.4784779054721848,
        0.47889466984338375,
        0.48006116120297965,
        0.4780935858693959,
        0.4756754876093825,
        0.47688733115075993,
        0.4768516634660095,
        0.48006116120297965,
        0.4808573918843915,
        0.5346363005941112,
        0.47198424773857206,
        0.47278363758536357,
        0.47395004458598533,
        0.48910486348506604,
        0.48793754877507783,
        0.5058318359363141,
        0.4852711252257239,
        0.4918349519288527,
        0.4875870832858133,
        0.4756378627017898,
        0.47523200981517877,
        0.47844476908104555,
        0.4769051238064485,
        0.4760985013396818,
        0.47611691542999945,
        0.47846135002137596,
        0.47964650877187975,
        0.4788459652545121,
        0.4784779054721848,
        0.47865823114755396,
        0.47849443549220355,
        0.47926248434532104,
        0.47889466984338375,
        0.47927839954678386,
        0.4785109401399836,
        0.48006116120297965,
        0.4785109401399836,
        0.4786746170053319,
        0.4781104110656448,
        0.47849443549220355,
        0.47889466984338375,
        0.47889466984338375,
        0.47849443549220355,
        0.4781104110656448,
        0.47849443549220355,
        0.5211211468402249,
        0.8541663307733015,
        0.8626675428351636,
        0.8646389541863817,
        0.8728711711222603,
        0.8731514030711919,
        0.8792965232813906,
        0.8818785758476172,
        0.8853587582449216,
        0.8867735839654042,
        0.890343662348745,
        0.8913547847557244,
        0.8934165694127871,
        0.8946494489801416,
        0.8980634321879443,
        0.8983782353170011,
        0.8963536294059757,
        0.8957679729850216,
        0.8957021518057285,
        0.8941231412023519,
        0.8943841263591744,
        0.8947050492922092,
        0.8951673655545597,
        0.8944775437971868,
        0.8951157259413517,
        0.8947100095804305,
        0.8943077571314789,
        0.8943927187065337,
        0.8948080191479086,
        0.894879150057731,
        0.8945876752593782,
        0.894890583050098,
        0.8962486361697511,
        0.896348396703608,
        0.8968423676065986,
        0.8960659274874162,
        0.8959988385737218,
        0.8959654541062698,
        0.896164182165293,
        0.8957667260472466,
        0.894883726474446,
        0.8967769850392059,
        0.896470228240975,
        0.8964170880330614,
        0.8945185662511782,
        0.8928708869274138,
        0.8935181655236877,
        0.8912068134889057,
        0.8890478171311297,
        0.834553722466382,
        0.46939537847709734,
        0.4716907104011907,
        0.4728383763632374,
        0.47360348700460186,
        0.47160380547878095,
        0.4727967493701642,
        0.47475115296664855,
        0.4747124574308213,
        0.4770289094649298,
        0.47544110251278243,
        0.47622680688027214,
        0.47737711317708437,
        0.4769936777448136,
        0.47659229162298283,
        0.47737711317708437,
        0.4785274194738966,
        0.4785274194738966,
        0.47927839954678386,
        0.47889466984338375,
        0.4785274194738966,
        0.4785274194738966,
        0.4785274194738966,
        0.47812721043658346,
        0.47812721043658346,
        0.47812721043658346,
        0.4785109401399836,
        0.4781104110656448,
        0.47732494666381803,
        0.47732494666381803,
        0.4773075043219675,
        0.47732494666381803,
        0.4777092662666069,
        0.4777092662666069,
        0.47926248434532104,
        0.4785109401399836,
        0.47927839954678386,
        0.47732494666381803,
        0.4761353011691499,
        0.4785109401399836,
        0.4753084541991292,
        0.47447777035373667,
        0.4790857898590825,
        0.4759874177338823,
        0.48525969864005764,
        0.48445979173005954,
        0.48484829196400503,
        0.4782268702549319,
        0.49143949290504246,
        0.4914328258461006,
        0.48520229873553194,
        0.4880491519805969,
        0.48813150848136877,
        0.48145512108096095,
        0.48010692745619976,
        0.4772725390111402,
        0.4816090064491867,
        0.4788459652545121,
        0.4804145576249973,
        0.47964650877187975,
        0.4780598577623963,
        0.47765774687152046,
        0.47963086428055146,
        0.4780598577623963,
        0.4764658611492894,
        0.4768516634660095,
        0.4776232680994496,
        0.4764294869150716,
        0.47683378830973,
        0.47644768807628085,
        0.47604308830443487,
        0.47484501306451493,
        0.47484501306451493,
        0.47683378830973,
        0.47644768807628085,
        0.4756378627017898,
        0.47644768807628085,
        0.4768158855257083,
        0.47679795504984296,
        0.4763930000671702,
        0.475193609845637,
        0.475193609845637,
        0.47558120659102493,
        0.4747472858814216,
        0.47399049481123184,
        0.4747668920181298,
        0.47399049481123184,
        0.4731932849456395,
        0.47399049481123184,
        0.4735612422524447,
        0.47395004458598533,
        0.4735612422524447,
        0.4712060379319133,
        0.4715730206811631,
        0.472804784711694,
        0.47358178517958505,
        0.47278363758536357,
        0.4723733526419015,
        0.47198424773857206,
        0.47152867283722266,
        0.47155086404205576,
        0.4719405754999418,
        0.47152867283722266,
        0.4724938657126119,
        0.4711611525841698,
        0.47271999841571377,
        0.4711836127367525,
        0.47152867283722266,
        0.4711161270792685,
        0.4723302869578278,
        0.4739702854135306,
        0.4743985702931978,
        0.47403081960947313,
        0.4747864677341571,
        0.47521282470258225,
        0.4756378627017898,
        0.47606158784283165,
        0.4756378627017898,
        0.4768158855257083,
        0.4768516634660095,
        0.4776232680994496,
        0.4772374657827295,
        0.478428162592281,
        0.4772374657827295,
        0.47721988854317915,
        0.47644768807628085,
        0.4780090704161697,
        0.4772374657827295,
        0.4780090704161697,
        0.4780090704161697,
        0.47918254021475665,
        0.47841153049598795,
        0.477060674687931,
        0.4772725390111402,
        0.4780598577623963,
        0.47767494644374703,
        0.4780598577623963,
        0.47924654467776256,
        0.4788459652545121,
        0.47963086428055146,
        0.47844476908104555,
        0.47844476908104555,
        0.4780429547319007,
        0.4780429547319007,
        0.47765774687152046,
        0.48496511310552204,
        0.4790695772995166,
        0.47480601310024906,
        0.47523200981517877,
        0.4780767347882398,
        0.47606158784283165,
        0.48087203809756424,
        0.47969329838852964,
        0.48404236487105556,
        0.4851934332429477,
        0.5077802894675109,
        0.5231739691958762,
        0.47849443549220355,
        0.4756754876093825,
        0.4696023067526258,
        0.47509708696520736,
        0.4840836585009059,
        0.4965114308419747,
        0.49573292954595816,
        0.47282589900088484,
        0.4756001212182323,
        0.4734300446541217,
        0.4732763421243321,
        0.4773423622125273,
        0.47490328714248414,
        0.4753274916209131,
        0.47611691542999945,
        0.4785109401399836,
        0.47891085490616736,
        0.4792942903384381,
        0.4785274194738966,
        0.47891085490616736,
        0.47891085490616736,
        0.47891085490616736,
        0.47891085490616736,
        0.47891085490616736,
        0.47891085490616736,
        0.47889466984338375,
        0.47891085490616736,
        0.47889466984338375,
        0.47891085490616736,
        0.47891085490616736,
        0.4782998888031134,
        0.4781104110656448,
        0.4785109401399836,
        0.47891085490616736,
        0.47891085490616736,
        0.4793101567763982,
        0.4793101567763982,
        0.4793101567763982,
        0.479708847158553,
        0.4793101567763982,
        0.48010692745619976,
        0.47891085490616736,
        0.4785274194738966,
        0.47891085490616736,
        0.4792942903384381,
        0.4792942903384381,
        0.47891085490616736,
        0.47891085490616736,
        0.47776054860935513,
        0.48542925725477015,
        0.4996163682487879,
        0.860141533441361,
        0.8640717466221363,
        0.8677199660746187,
        0.8727949027062958,
        0.8754785837202798,
        0.8809566094928638,
        0.8818688455751943,
        0.8863809697843917,
        0.8878701602265818,
        0.8918096508158395,
        0.8924369459814134,
        0.8949799541498137,
        0.8960626308786873,
        0.8996565014712715,
        0.9003241849205486,
        0.9022911392816181,
        0.902974418973284,
        0.9031023295889034,
        0.90428113150241,
        0.9064209365015509,
        0.906274413947264,
        0.9074236893677625,
        0.9069610045820858,
        0.9074711200120411,
        0.9080729619664858,
        0.9075199474388511,
        0.9087266090728392,
        0.9084228895983057,
        0.9084637961888375,
        0.9082755550752963,
        0.9093972879843581,
        0.9098282533612373,
        0.9104179740226331,
        0.9122304887862757,
        0.9103789020277342,
        0.9125822578188173,
        0.9133189707279672,
        0.8930943135744338,
        0.8676977884268606,
        0.9023859436167244,
        0.8715335187158992,
        0.8749590667030565,
        0.873059167753679,
        0.8732424756332356,
        0.8739658033425974,
        0.8695746390926464,
        0.8751782099375603,
        0.8879081944898852,
        0.8982664198362706,
        0.8998347827538523,
        0.8944881251460576,
        0.8817581366107403,
        0.8822164218668073,
        0.8729540036940002,
        0.8848787562481634,
        0.8867246801941456,
        0.8877041116923101,
        0.878860198162679,
        0.8761885505297341,
        0.87659502059966,
        0.8744739366598733,
        0.8781209425676247,
        0.9023677730006257,
        0.9095259558698229,
        0.9080346219519497,
        0.9066320186571056,
        0.9039787023403668,
        0.9010980082720216,
        0.8964200617158632,
        0.8910669806990863,
        0.8849384915225477,
        0.8767132910303084,
        0.5116042210812795,
        0.4656486729678469,
        0.4702060804083169,
        0.472497905333134,
        0.472497905333134,
        0.4736236678170352,
        0.4736236678170352,
        0.47198753518218106,
        0.47436859764596634,
        0.4743096297189184,
        0.47589881892869523,
        0.47544110251278243,
        0.47580626450629226,
        0.4769936777448136,
        0.47739444871574116,
        0.4785274194738966,
        0.4793101567763982,
        0.4800916954004992,
        0.4800916954004992,
        0.479708847158553,
        0.4785438735521354,
        0.4793259989166068,
        0.4793259989166068,
        0.4785274194738966,
        0.4793101567763982,
        0.4793101567763982,
        0.47892701516426683,
        0.4782998888031134,
        0.4785274194738966,
        0.4785274194738966,
        0.4793101567763982,
        0.4793101567763982,
        0.4785274194738966,
        0.47891085490616736,
        0.4785274194738966,
        0.47891085490616736,
        0.47812721043658346,
        0.47812721043658346,
        0.4785109401399836,
        0.4785109401399836,
        0.4785109401399836,
        0.4785274194738966,
        0.47812721043658346,
        0.477726386639086,
        0.4782998888031134,
        0.4781439840416259,
        0.4781104110656448,
        0.4785109401399836,
        0.47812721043658346,
        0.47812721043658346,
        0.4777434807331833,
        0.4785109401399836,
        0.4782998888031134,
        0.4785109401399836,
        0.4781104110656448,
        0.47812721043658346,
        0.4773423622125273,
        0.47812721043658346,
        0.4785109401399836,
        0.47891085490616736,
        0.4785109401399836,
        0.4780935858693959,
        0.47828322205759616,
        0.47889466984338375,
        0.4785109401399836,
        0.4785109401399836,
        0.47889466984338375,
        0.4785109401399836,
        0.4777092662666069,
        0.47889466984338375,
        0.4781104110656448,
        0.4781104110656448,
        0.477726386639086,
        0.47849443549220355,
        0.47849443549220355,
        0.47889466984338375,
        0.47849443549220355,
        0.4781104110656448,
        0.47889466984338375,
        0.47889466984338375,
        0.47889466984338375,
        0.47849443549220355,
        0.4781104110656448,
        0.47889466984338375,
        0.4785109401399836,
        0.47849443549220355,
        0.47849443549220355,
        0.4785109401399836,
        0.4792942903384381,
        0.4792942903384381,
        0.47891085490616736,
        0.4793101567763982,
        0.4786836185065136,
        0.47891085490616736,
        0.47891085490616736,
        0.4785109401399836,
        0.4792942903384381,
        0.47891085490616736,
        0.4792942903384381,
        0.47891085490616736,
        0.47891085490616736,
        0.47891085490616736,
        0.4790834008506891,
        0.4793101567763982,
        0.4793101567763982,
        0.4792942903384381,
        0.4792942903384381,
        0.4792942903384381,
        0.47969329838852964,
        0.4792942903384381,
        0.4793101567763982,
        0.4793101567763982,
        0.4793101567763982,
        0.4792942903384381,
        0.4792942903384381,
        0.47969329838852964,
        0.4792942903384381,
        0.4794825705018573,
        0.4793101567763982,
        0.4792942903384381,
        0.4792942903384381,
        0.4792942903384381,
        0.47891085490616736,
        0.47889466984338375,
        0.47889466984338375,
        0.47889466984338375,
        0.47849443549220355,
        0.4785109401399836,
        0.4781104110656448,
        0.4785109401399836,
        0.47889466984338375,
        0.4792942903384381,
        0.4792942903384381,
        0.47849443549220355,
        0.4780935858693959,
        0.4777092662666069,
        0.4760985013396818,
        0.47849443549220355,
        0.47849443549220355,
        0.4769051238064485,
        0.47844476908104555,
        0.47765774687152046,
        0.4787478785788919,
        0.4783614799682552,
        0.4786984933434325,
        0.4802629675738085,
        0.48024767940603263,
        0.47944123702566843,
        0.4786322882208768,
        0.4786156725884725,
        0.4828791850317955,
        0.4778380679213913,
        0.4785823636805528,
        0.4758188427306962,
        0.4770782872850947,
        0.4763380574979942,
        0.48090126339079686,
        0.4820745638274777,
        0.4913855793337703,
        0.4913855793337703,
        0.4800916954004992,
        0.47565668969379815,
        0.4772725390111402,
        0.48125459341824645,
        0.47926248434532104,
        0.4800305331984385,
        0.4790190421094233,
        0.47887845991876227,
        0.47926248434532104,
        0.47964650877187975,
        0.47767494644374703,
        0.4780935858693959,
        0.47767494644374703,
        0.47688733115075993,
        0.4765021232903797,
        0.4764658611492894,
        0.47606158784283165,
        0.4764658611492894,
        0.47602456015114086,
        0.47525116525243877,
        0.47602456015114086,
        0.4756378627017898,
        0.47525116525243877,
        0.47625366987509327,
        0.4754631324809854,
        0.4752702910831615,
        0.47462136125584536,
        0.4740509351556322,
        0.4745928348902856,
        0.475193609845637,
        0.47480601310024906,
        0.47521282470258225,
        0.47403081960947313,
        0.47403081960947313,
        0.47323487797032,
        0.47443823167128224,
        0.47362277541127923,
        0.4740106728522385,
        0.47403081960947313,
        0.47364322286408517,
        0.47484501306451493,
        0.4756378627017898,
        0.47523200981517877,
        0.47484501306451493,
        0.47561900656584255,
        0.47482552818693224,
        0.47443823167128224,
        0.47521282470258225,
        0.47484501306451493,
        0.4748644678030877,
        0.47523200981517877,
        0.4764294869150716,
        0.47602456015114086,
        0.47561900656584255,
        0.4756378627017898,
        0.4760060033165064,
        0.47561900656584255,
        0.47523200981517877,
        0.47602456015114086,
        0.47561900656584255,
        0.47523200981517877,
        0.4756001212182323,
        0.47561900656584255,
        0.47677999681783406,
        0.4760060033165064,
        0.4763930000671702,
        0.4759874177338823,
        0.47484501306451493,
        0.47443823167128224,
        0.4748644678030877,
        0.4744580163138511,
        0.47523200981517877,
        0.4744184163548611,
        0.4756001212182323,
        0.475193609845637,
        0.47480601310024906,
        0.47482552818693224,
        0.47561900656584255,
        0.47602456015114086,
        0.47721988854317915,
        0.47484501306451493,
        0.4744580163138511,
        0.47604308830443487,
        0.47742849310455776,
        0.47760598877662835,
        0.4768516634660095,
        0.4783948727328898,
        0.47721988854317915,
        0.47644768807628085,
        0.4772374657827295,
        0.4768695110584505,
        0.4772725390111402,
        0.4780429547319007,
        0.47844476908104555,
        0.47846135002137596,
        0.47886222507497367,
        0.4780598577623963,
        0.47886222507497367,
        0.4780598577623963,
        0.47963086428055146,
        0.4796151957207844,
        0.47926248434532104,
        0.47886222507497367,
        0.4800458589535842,
        0.47882968039969487,
        0.4780767347882398,
        0.4816230883682839,
        0.48200593661023006,
        0.4836250970174793,
        0.4968224353390402,
        0.48087203809756424,
        0.48791521917477926,
        0.4832187281403594,
        0.4832187281403594,
        0.4796777257707089,
        0.4723733526419015,
        0.4727624575452309,
        0.472804784711694,
        0.4731932849456395,
        0.47198424773857206,
        0.47336811005091495,
        0.4733887869758858,
        0.4751357861153671,
        0.47978207958909425,
        0.4770960836388239,
        0.47718465249919406,
        0.47910197732181703,
        0.4758752967718662,
        0.47239483525182296,
        0.47321409760433386,
        0.4829057907942774,
        0.49006590131124295,
        0.48989879500529676,
        0.49109198184423336,
        0.48568092208310204,
        0.48917227342907654,
        0.47767494644374703,
        0.47765774687152046,
        0.47732494666381803,
        0.4785109401399836,
        0.47889466984338375,
        0.47812721043658346,
        0.47812721043658346,
        0.4782998888031134,
        0.4782998888031134,
        0.47812721043658346,
        0.47812721043658346,
        0.4785109401399836,
        0.4785109401399836,
        0.4778991976310374,
        0.4781104110656448,
        0.4781104110656448,
        0.4781104110656448,
        0.4785109401399836,
        0.4781104110656448,
        0.4778991976310374,
        0.4777092662666069,
        0.477726386639086,
        0.4781104110656448,
        0.4785109401399836,
        0.4785109401399836,
        0.4781104110656448,
        0.4785109401399836,
        0.4785109401399836,
        0.4781104110656448,
        0.4769583377859685,
        0.7903030686365812,
        0.8766305074176364,
        0.8806596693033378,
        0.8845115658186612,
        0.8880709103855103,
        0.8924256566028534,
        0.8961579884298829,
        0.8951545207949844,
        0.898049283056554,
        0.8981587807939067,
        0.8992091222173355,
        0.9008819911752317,
        0.9007291315667859,
        0.9005431137722733,
        0.8999012120083302,
        0.9021840169990633,
        0.9015104221914271,
        0.900863384128841,
        0.8991180979806132,
        0.8996238444561642,
        0.900704801139463,
        0.9015891196125358,
        0.901764343762083,
        0.9016381776775926,
        0.9016317735453728,
        0.9006913350561553,
        0.8993107344671756,
        0.8991496317083107,
        0.8994908535200982,
        0.8995211638318693,
        0.901024872772291,
        0.9008480968948495,
        0.9008137718692206,
        0.9008719577744311,
        0.901932526067933,
        0.9017783319885959,
        0.9011028673249266,
        0.9004460626758856,
        0.9013283767873,
        0.9015755978021095,
        0.9024291049814249,
        0.9019805138063832,
        0.9051923969641956,
        0.901487728919272,
        0.90711502735162,
        0.8972932559079851,
        0.9040961233558842,
        0.7649193637041207,
        0.46860624814211405,
        0.4716907104011907,
        0.4716907104011907,
        0.47281757880352193,
        0.47160380547878095,
        0.471581995814146,
        0.4743489717713066,
        0.4747124574308213,
        0.47469306515118914,
        0.47505737280938226,
        0.47580626450629226,
        0.476976021326383,
        0.4763630999248024,
        0.4763630999248024,
        0.47657431335940975,
        0.4781104110656448,
        0.4773423622125273,
        0.4777434807331833,
        0.4800764400006611,
        0.4777434807331833,
        0.47812721043658346,
        0.47891085490616736,
        0.47891085490616736,
        0.4792942903384381,
        0.47891085490616736,
        0.4785109401399836,
        0.47812721043658346,
        0.47891085490616736,
        0.47812721043658346,
        0.47812721043658346,
        0.4781104110656448,
        0.477726386639086,
        0.4781104110656448,
        0.477726386639086,
        0.4785109401399836,
        0.477726386639086,
        0.4781104110656448,
        0.47849443549220355,
        0.47927839954678386,
        0.47849443549220355,
        0.47889466984338375,
        0.4781104110656448,
        0.4781104110656448,
        0.4781104110656448,
        0.4781104110656448,
        0.4781104110656448,
        0.4781104110656448,
        0.4777092662666069,
        0.4777092662666069,
        0.4781104110656448,
        0.4785109401399836,
        0.4781104110656448,
        0.4781104110656448,
        0.4781104110656448,
        0.4777092662666069,
        0.47812721043658346,
        0.4777092662666069,
        0.4777092662666069,
        0.48259841679010873,
        0.48486005570780394,
        0.5104893074044091,
        0.5182735106096131,
        0.6091354896540055,
        0.5941858106797402,
        0.6132476192829983,
        0.6576294835737446,
        0.7072954031339657,
        0.6524434956935067,
        0.7049686638633882,
        0.6999997210896053,
        0.684097705864677,
        0.6830215344960859,
        0.6689241757256577,
        0.6671203567582703,
        0.6525289228834175,
        0.6482850101933552,
        0.6321702917277602,
        0.6291567500941562,
        0.6094831826866696,
        0.5994600563426763,
        0.5932265572815849,
        0.573929732410877,
        0.5576177219642121,
        0.5454877774672795,
        0.5329551676709111,
        0.5239565160233878,
        0.5092447914227016,
        0.5038489161118975,
        0.4888201616993656,
        0.4899766762775187,
        0.47802602563660357,
        0.4780598577623963,
        0.4757317075696192,
        0.4769051238064485,
        0.47881337045266126,
        0.47765774687152046,
        0.47882968039969487,
        0.4780429547319007,
        0.4772374657827295,
        0.478428162592281,
        0.47881337045266126,
        0.47879703535537227,
        0.47995354993352535,
        0.47918254021475665,
        0.47958378617342173,
        0.48035420189418226,
        0.48152405963023975,
        0.48035420189418226,
        0.4803693256742919,
        0.4791985783130415,
        0.479968994033802,
        0.47802602563660357,
        0.4791985783130415,
        0.47841153049598795,
        0.47881337045266126,
        0.47879703535537227,
        0.47879703535537227,
        0.479568045074141,
        0.47802602563660357,
        0.47841153049598795,
        0.4783948727328898,
        0.47918254021475665,
        0.479568045074141,
        0.47918254021475665,
        0.47995354993352535,
        0.4791664773663299,
        0.4787806750496098,
        0.4787806750496098,
        0.47955227968305,
        0.4791664773663299,
        0.4791664773663299,
        0.47955227968305,
        0.47915038971042506,
        0.47915038971042506,
        0.4783781892435267,
        0.47893803458202794,
        0.4791342771895286,
        0.47990707441080205,
        0.47952067580016533,
        0.4783614799682552,
        0.47990707441080205,
        0.47990707441080205,
        0.4791342771895286,
        0.48030869041077257,
        0.47990707441080205,
        0.4799225901773234,
        0.47893803458202794,
        0.4799225901773234,
        0.47795804739789616,
        0.4787478785788919,
        0.4795364899438742,
        0.4787478785788919,
        0.4787478785788919,
        0.47876428947697586,
        0.4783781892435267,
        0.4789542860921338,
        0.4791664773663299,
        0.4799225901773234,
        0.4783781892435267,
        0.47879703535537227,
        0.4787806750496098,
        0.47955227968305,
        0.47879703535537227,
        0.47918254021475665,
        0.47879703535537227,
        0.479568045074141,
        0.4787806750496098,
        0.4779920890100775,
        0.4779920890100775,
        0.4764294869150716,
        0.4764112576004919,
        0.47797508135761846,
        0.47876428947697586,
        0.4779920890100775,
        0.47915038971042506,
        0.48030869041077257,
        0.4799225901773234,
        0.4779920890100775,
        0.47683378830973,
        0.4772374657827295,
        0.4772374657827295,
        0.4768158855257083,
        0.4783614799682552,
        0.47758868274698174,
        0.4780090704161697,
        0.477202284136345,
        0.47725501591783487,
        0.47644768807628085,
        0.4764658611492894,
        0.47764052077721925,
        0.47844476908104555,
        0.4788459652545121,
        0.48427895095795787,
        0.483870777464026,
        0.4948179637104295,
        0.5060742147987867,
        0.5115560385849832,
        0.5170540583475365,
        0.529137318633794,
        0.5427908420131756,
        0.5609193201603893,
        0.5756526154115675,
        0.5836573549941122,
        0.6043575615970401,
        0.6176581791027915,
        0.6236410564408222,
        0.6372470246730353,
        0.6407707725275423,
        0.665108769053201,
        0.6677040141132644,
        0.6908096933842967,
        0.6906612034096995,
        0.7533070928457342,
        0.722005933384885,
        0.7152289306936965,
        0.7179484323313151,
        0.7305746899345444,
        0.730559584722778,
        0.7297819800556968,
        0.6118883437214037,
        0.4957820139260804,
        0.48696299898385315,
        0.4816090064491867,
        0.48274520922887487,
        0.4796777257707089,
        0.47891085490616736,
        0.4786999654184184,
        0.4777434807331833,
        0.4777434807331833,
        0.4785274194738966,
        0.4785109401399836,
        0.47891085490616736,
        0.47889466984338375,
        0.47927839954678386,
        0.5406439595017583,
        0.5181938149423057,
        0.8661211101657649,
        0.8696233139422912,
        0.8779942430192794,
        0.8792764773020556,
        0.8850425482513379,
        0.8863363928988697,
        0.891103333664645,
        0.893096948365793,
        0.8955692574909336,
        0.8967003463389023,
        0.8987201101222863,
        0.8979507803382194,
        0.9002457000584264,
        0.9021461057507333,
        0.9023494836170548,
        0.9008191459562379,
        0.901496878198265,
        0.9005723056137278,
        0.9001376491557757,
        0.899891625495277,
        0.89907951422967,
        0.8982646215209099,
        0.897922837197106,
        0.8971165408185869,
        0.8970526429660179,
        0.8984188446600714,
        0.8977804715918292,
        0.8968375816752238,
        0.8978690698131636,
        0.8983212646834601,
        0.8989109951458557,
        0.8985955849602656,
        0.8990866664084124,
        0.8988924162914397,
        0.898656183713422,
        0.8984188446600714,
        0.8975567694648809,
        0.8970295363657571,
        0.8958493637491154,
        0.8955220278811639,
        0.8938433641295955,
        0.8948904382340839,
        0.8947160387765253,
        0.892592957225821,
        0.8901245466481125,
        0.8821980920736007,
        0.8816701845203909,
        0.8503001988326808,
        0.513943945570543,
        0.45983149546004154,
        0.4712861858357372,
        0.4724558210425552,
        0.47281757880352193,
        0.47200901712529386,
        0.4723924525575646,
        0.4743489717713066,
        0.47469306515118914,
        0.47507650058345985,
        0.474654191226616,
        0.47542224007973355,
        0.47582483221618255,
        0.47580626450629226,
        0.47657431335940975,
        0.4769583377859685,
        0.4781104110656448,
        0.47812721043658346,
        0.47964650877187975,
        0.47887845991876227,
        0.47927839954678386,
        0.47812721043658346,
        0.47849443549220355,
        0.47849443549220355,
        0.47889466984338375,
        0.47889466984338375,
        0.47889466984338375,
        0.47849443549220355,
        0.47889466984338375,
        0.47927839954678386,
        0.4785109401399836,
        0.47812721043658346,
        0.4785109401399836,
        0.47927839954678386,
        0.4773597510297831,
        0.5338980944870382,
        0.6417763160671266,
        0.714701034967471,
        0.7245529363083889,
        0.6951359097979877,
        0.6928277525405206,
        0.6676399206918696,
        0.6602411697480693,
        0.6200463733770449,
        0.604758012558632,
        0.5972848372474836,
        0.5579429887438141,
        0.523461332298306,
        0.5196454036529686,
        0.48918899578010355,
        0.4872584946128577,
        0.4782070639777885,
        0.4783948727328898,
        0.4779920890100775,
        0.4780090704161697,
        0.4791664773663299,
        0.4783614799682552,
        0.47876428947697586,
        0.47993808199977006,
        0.4791664773663299,
        0.4783781892435267,
        0.47876428947697586,
        0.47721988854317915,
        0.47721988854317915,
        0.4764294869150716,
        0.47721988854317915,
        0.47721988854317915,
        0.4783781892435267,
        0.4779920890100775,
        0.4776232680994496,
        0.4780090704161697,
        0.4780090704161697,
        0.4776232680994496,
        0.478347103389773,
        0.4776232680994496,
        0.47779687914197355,
        0.4780090704161697,
        0.4779920890100775,
        0.4780090704161697,
        0.4779920890100775,
        0.4780090704161697,
        0.4783948727328898,
        0.4783948727328898,
        0.4783948727328898,
        0.4776232680994496,
        0.4783948727328898,
        0.4787806750496098,
        0.47876428947697586,
        0.4783781892435267,
        0.4779920890100775,
        0.4779920890100775,
        0.47760598877662835,
        0.4783948727328898,
        0.47802602563660357,
        0.4783948727328898,
        0.478428162592281,
        0.47764052077721925,
        0.47764052077721925,
        0.47764052077721925,
        0.4768695110584505,
        0.4780429547319007,
        0.47958378617342173,
        0.4772374657827295,
        0.4757129964802974,
        0.4764658611492894,
        0.4752893873759333,
        0.4753084541991292,
        0.4892222860032252,
        0.485395658322385,
        0.5054052055849689,
        0.522376336838978,
        0.5526920900166538,
        0.560769009912513,
        0.5884613066983161,
        0.6088459140545323,
        0.6363284748078502,
        0.6603300014677721,
        0.672486305208758,
        0.6796393036999052,
        0.6842405288871543,
        0.6689893845685851,
        0.6471601447843482,
        0.6351764015281739,
        0.6211654002786158,
        0.6100457727427641,
        0.5212776155839299,
        0.47889466984338375,
        0.7105058559977007,
        0.8501089913262465,
        0.8528723317774581,
        0.8572953782605185,
        0.8627336420183476,
        0.8651363726954509,
        0.8704133913726335,
        0.8726068554558116,
        0.8730480507411381,
        0.8733394944142022,
        0.8761724405001645,
        0.8772300627294087,
        0.8783444407842215,
        0.8780128697180487,
        0.8786904041262728,
        0.8786932738017448,
        0.878784588557679,
        0.8784988726349745,
        0.8788023011335583,
        0.8785125294313699,
        0.8785125294313699,
        0.8782172779662665,
        0.8778228586874581,
        0.8763657699459217,
        0.8803665489869843,
        0.8754867901408911,
        0.87746551649291,
        0.7322415528415527,
        0.4731798909822956,
        0.4746736431059821,
        0.47542224007973355,
        0.4785274194738966,
        0.4785274194738966,
        0.47891085490616736,
        0.4793101567763982,
        0.47891085490616736,
        0.4781439840416259,
        0.4781439840416259,
        0.4793101567763982,
        0.47812721043658346,
        0.4781104110656448,
        0.49270893916578906,
        0.49117402035218843,
        0.6652604749897522,
        0.6597006612218262,
        0.6586018915482577,
        0.6674978190645561,
        0.6514974396569208,
        0.6460887033762146,
        0.621927558811897,
        0.6101302284062341,
        0.5905600135328266,
        0.5729644444256562,
        0.5626920860781938,
        0.5388160831100426,
        0.5280551342319533,
        0.4957625163093926,
        0.4915382679480052,
        0.47921459171834413,
        0.47802602563660357,
        0.47760598877662835,
        0.47955227968305,
        0.47802602563660357,
        0.4783948727328898,
        0.4772374657827295,
        0.47683378830973,
        0.4776232680994496,
        0.4780429547319007,
        0.4780429547319007,
        0.4768695110584505,
        0.4768695110584505,
        0.47644768807628085,
        0.4768516634660095,
        0.47644768807628085,
        0.47683378830973,
        0.4772374657827295,
        0.47725501591783487,
        0.47644768807628085,
        0.47764052077721925,
        0.47764052077721925,
        0.4772374657827295,
        0.4783781892435267,
        0.47644768807628085,
        0.4776232680994496,
        0.47721988854317915,
        0.47644768807628085,
        0.4764658611492894,
        0.4783948727328898,
        0.47764052077721925,
        0.47764052077721925,
        0.47765774687152046,
        0.47725501591783487,
        0.4768516634660095,
        0.4760800588325693,
        0.4791664773663299,
        0.4787478785788919,
        0.47683378830973,
        0.47797508135761846,
        0.47718465249919406,
        0.4783781892435267,
        0.477202284136345,
        0.4752893873759333,
        0.48030869041077257,
        0.4895911714181343,
        0.4972991862521733,
        0.4992276018497821,
        0.5349460261963399,
        0.5346151740592545,
        0.5678678751929815,
        0.5983100565785338,
        0.604070422976915,
        0.6131819262496954,
        0.6557217083490671,
        0.6802992716488271,
        0.6912439678057515,
        0.7118771153401662,
        0.7116855445341005,
        0.7024172220739695,
        0.6770112286362076,
        0.6087900217020773,
        0.5872121927510408,
        0.5494629744439855,
        0.5107359957846397,
        0.47891085490616736,
        0.47891085490616736,
        0.47889466984338375,
        0.48006116120297965,
        0.8100504871580909,
        0.8500572254571761,
        0.8538132225328429,
        0.8683797160355026,
        0.8688616953568292,
        0.8742611912193037,
        0.8733329826302061,
        0.873239086777455,
        0.87343470485245,
        0.8734359286949214,
        0.8735370926279318,
        0.8750971544073767,
        0.8749017635476093,
        0.8799351172917387,
        0.8794707379840047,
        0.8816234281671497,
        0.8818916529240738,
        0.8822638100233428,
        0.8803554317199839,
        0.8805851688292708,
        0.881115863049448,
        0.886461243050034,
        0.886638924914609,
        0.89907951422967,
        0.9009551132474247,
        0.9038797420170048,
        0.9035738706757095,
        0.9024937454227826,
        0.9025760484961309,
        0.8999407220976828,
        0.8988793551680583,
        0.8967643457699254,
        0.8952962854085104,
        0.8819763941302994,
        0.8736441151775468,
        0.49198454053733987,
        0.4727967493701642,
        0.47661024231254284,
        0.477411757706876,
        0.47972437213551755,
        0.48010692745619976,
        0.47972437213551755,
        0.47892701516426683,
        0.4800916954004992,
        0.47894315067466064,
        0.4793101567763982,
        0.4785274194738966,
        0.47892701516426683,
        0.4785274194738966,
        0.4785274194738966,
        0.4785274194738966,
        0.4777434807331833,
        0.5026817951164144,
        0.5283522831292191,
        0.6207819648463451,
        0.6620581113872864,
        0.699692505190044,
        0.7052951948494706,
        0.6813120883869614,
        0.6639782335200802,
        0.642390216061652,
        0.6177603735186785,
        0.5982969765262756,
        0.5663503947589766,
        0.559643465114288,
        0.5309116910148487,
        0.5119596742875361,
        0.49691338393545326,
        0.49342594537193807,
        0.47876428947697586,
        0.47760598877662835,
        0.4779920890100775,
        0.477202284136345,
        0.4777797338816804,
        0.4764294869150716,
        0.4768158855257083,
        0.47604308830443487,
        0.47604308830443487,
        0.4772374657827295,
        0.47760598877662835,
        0.4776232680994496,
        0.4772374657827295,
        0.47683378830973,
        0.4764658611492894,
        0.47604308830443487,
        0.47604308830443487,
        0.47488389247252477,
        0.47604308830443487,
        0.47565668969379815,
        0.47604308830443487,
        0.477202284136345,
        0.47604308830443487,
        0.47604308830443487,
        0.47565668969379815,
        0.47602456015114086,
        0.4756378627017898,
        0.47523200981517877,
        0.4760060033165064,
        0.47602456015114086,
        0.4756378627017898,
        0.47679795504984296,
        0.47679795504984296,
        0.47760598877662835,
        0.47683378830973,
        0.47721988854317915,
        0.4779920890100775,
        0.47683378830973,
        0.4764294869150716,
        0.4764658611492894,
        0.4768695110584505,
        0.47879703535537227,
        0.4791985783130415,
        0.4780429547319007,
        0.4780598577623963,
        0.47729003512509777,
        0.4780598577623963,
        0.47802602563660357,
        0.47765774687152046,
        0.478428162592281,
        0.47844476908104555,
        0.47644768807628085,
        0.4769051238064485,
        0.48282423877403796,
        0.5020266599444744,
        0.4951125913551528,
        0.493466369980952,
        0.5050581645215718,
        0.5179125660660172,
        0.5093021234397773,
        0.4786322882208768,
        0.4829057907942774,
        0.4769051238064485,
        0.4773075043219675,
        0.4773423622125273,
        0.477726386639086,
        0.4773423622125273,
        0.47619028893285104,
        0.6376725603008058,
        0.8371732498980768,
        0.8504079040366664,
        0.8541015262053021,
        0.8695266261160026,
        0.8689402307291648,
        0.8759769753712185,
        0.8775170803340471,
        0.8792898204396349,
        0.8795787604486941,
        0.8814550459272429,
        0.8817169381315636,
        0.884667614882954,
        0.8867582068646161,
        0.8913593602069024,
        0.8909949003243373,
        0.8958986918768689,
        0.8964732395632004,
        0.8982646215209099,
        0.8981477857748886,
        0.8986776163197003,
        0.8988373048032308,
        0.9003626679861176,
        0.9004117260511744,
        0.9014060098191369,
        0.9017572963866961,
        0.901876602389292,
        0.9022055200555088,
        0.9013721870568158,
        0.9013721870568158,
        0.8984862735652734,
        0.8951640890180003,
        0.8853270044525126,
        0.8834244104127758,
        0.875194962422015,
        0.8716845192648409,
        0.8627428469071302,
        0.8217554040162085,
        0.4750382156531748,
        0.4738459672237421,
        0.47622680688027214,
        0.4785438735521354,
        0.4785438735521354,
        0.4785274194738966,
        0.4781439840416259,
        0.47892701516426683,
        0.47892701516426683,
        0.47892701516426683,
        0.4785274194738966,
        0.47812721043658346,
        0.4785109401399836,
        0.4785274194738966,
        0.47812721043658346,
        0.4785274194738966,
        0.4778991976310374,
        0.47732494666381803,
        0.47711357088228407,
        0.4777434807331833,
        0.4781439840416259,
        0.47732494666381803,
        0.47891085490616736,
        0.4777434807331833,
        0.4761353011691499,
        0.4740910729043856,
        0.47081693302858385,
        0.47198424773857206,
        0.48871575858173666,
        0.49189169741424776,
        0.497328049899266,
        0.4773258448859792,
        0.4793101567763982,
        0.4780429547319007,
        0.47767494644374703,
        0.47846135002137596,
        0.47846135002137596,
        0.4772725390111402,
        0.47765774687152046,
        0.4768695110584505,
        0.478428162592281,
        0.4783948727328898,
        0.47660336628985805,
        0.4759874177338823,
        0.47358178517958505,
        0.4731932849456395,
        0.47358178517958505,
        0.47239483525182296,
        0.4731724399189041,
        0.4735612422524447,
        0.4727624575452309,
        0.4719624286255736,
        0.4727624575452309,
        0.47165996758601286,
        0.4707029367188253,
        0.472804784711694,
        0.47433884691952594,
        0.47308873461666756,
        0.4759874177338823,
        0.47718465249919406,
        0.47758868274698174,
        0.47558120659102493,
        0.47679795504984296,
        0.47876428947697586,
        0.47935601740147954,
        0.47879703535537227,
        0.47958378617342173,
        0.47882968039969487,
        0.48001518388334036,
        0.4811826064781148,
        0.47963086428055146,
        0.4804295886569843,
        0.47924654467776256,
        0.4772725390111402,
        0.47882968039969487,
        0.4774110768252535,
        0.47760598877662835,
        0.47765774687152046,
        0.48401807624257603,
        0.49402966198269627,
        0.4796777257707089,
        0.47323487797032,
        0.48127905895875334,
        0.494953219397478,
        0.49534503210499886,
        0.4891470926796035,
        0.47769211955510366,
        0.4736636386399822,
        0.4773075043219675,
        0.4792942903384381,
        0.5437114429599242,
        0.8277385465831649,
        0.8667376020453714,
        0.8676124072958378,
        0.8826407116676768,
        0.8847284174678067,
        0.8907229119102744,
        0.8903660710264552,
        0.8927441190181474,
        0.8927721507904097,
        0.896571742281535,
        0.8974506200041431,
        0.8982897327638811,
        0.8986694365267984,
        0.8991963476578918,
        0.8986270901199449,
        0.8988650546017934,
        0.899234332489813,
        0.9019460392829639,
        0.8996510273933657,
        0.9103061169256955,
        0.9088368787950633,
        0.9153935139216405,
        0.9162750664674132,
        0.9185821889255477,
        0.9240562467043031,
        0.9153704396573643,
        0.9133588644519324,
        0.9116602210598437,
        0.9096825801635855,
        0.9066249285893007,
        0.9082318206619481,
        0.904754538639746,
        0.9049506169923797,
        0.9042350920060006,
        0.9031638225549552,
        0.900529881326552,
        0.8989856004051268,
        0.8848245501710741,
        0.8745159073125816,
        0.47685378887680424,
        0.4727549945889814,
        0.4754787406550841,
        0.47622680688027214,
        0.47894315067466064,
        0.47972437213551755,
        0.4789592614941531,
        0.47856030243271447,
        0.47894315067466064,
        0.47892701516426683,
        0.4787325841415902,
        0.4789592614941531,
        0.47856030243271447,
        0.47934181681483534,
        0.4793259989166068,
        0.4787325841415902,
        0.47816073194000397,
        0.4781439840416259,
        0.4777434807331833,
        0.4785274194738966,
        0.4781439840416259,
        0.4777434807331833,
        0.47812721043658346,
        0.4777434807331833,
        0.4781439840416259,
        0.4773423622125273,
        0.4753274916209131,
        0.47692288908883135,
        0.47329702606185964,
        0.47207118564744216,
        0.47125078377591195,
        0.4957163132346165,
        0.49534503210499886,
        0.490264602012869,
        0.48891418170943346,
        0.478938966289586,
        0.4703354872663782,
        0.47742849310455776,
        0.47927839954678386,
        0.478428162592281,
        0.4760985013396818,
        0.47765774687152046,
        0.47644768807628085,
        0.4768695110584505,
        0.47644768807628085,
        0.4768695110584505,
        0.47721988854317915,
        0.47879703535537227,
        0.4771669935684979,
        0.47515509062157885,
        0.47155086404205576,
        0.4715064469857136,
        0.4714841864063254,
        0.4711161270792685,
        0.4727412445143947,
        0.4727412445143947,
        0.4739297722552191,
        0.4735612422524447,
        0.4731515624485603,
        0.4739702854135306,
        0.47472764925306654,
        0.4731515624485603,
        0.47395004458598533,
        0.4743587856474761,
        0.4735612422524447,
        0.47278363758536357,
        0.4731932849456395,
        0.4731932849456395,
        0.47517436517511635,
        0.47437869341468086,
        0.4756378627017898,
        0.4747864677341571,
        0.475193609845637,
        0.4780090704161697,
        0.47998441435564265,
        0.47846135002137596,
        0.4764658611492894,
        0.4764658611492894,
        0.4760800588325693,
        0.47644768807628085,
        0.47683378830973,
        0.47449749386188805,
        0.4756754876093825,
        0.4737449864421366,
        0.47565668969379815,
        0.4884167953132052,
        0.49613581605754414,
        0.4945860377199912,
        0.5265791451398133,
        0.5193346744784584,
        0.5424153012929075,
        0.5563704364002598,
        0.5653341357024769,
        0.6014601783646338,
        0.6370097416226074,
        0.6347187644526502,
        0.6523404957802503,
        0.6860150565212958,
        0.6833841118739162,
        0.6564414600475249,
        0.6359276644210397,
        0.6320933100983323,
        0.6227854149799597,
        0.5003832391133294,
        0.4850343450977861,
        0.4792942903384381,
        0.4921168806138752,
        0.4973157556551634,
        0.8524841331740092,
        0.8596419594582556,
        0.876573211010634,
        0.8834597320673895,
        0.892076146180338,
        0.8925197429258545,
        0.8954541830256587,
        0.8954342436504523,
        0.8959167669272851,
        0.8955145144783335,
        0.8972722500673697,
        0.8966905091964965,
        0.8981810872352384,
        0.900645684314338,
        0.8992333117775034,
        0.8989612937155093,
        0.900442550372767,
        0.8991268375979607,
        0.8991769980909927,
        0.8989839418505404,
        0.899598023619126,
        0.9007554008060737,
        0.9039219787574856,
        0.8988139387518194,
        0.8988413434696773,
        0.8657226907038885,
        0.475152719206275,
        0.47016048911846176,
        0.47582483221618255,
        0.4781439840416259,
        0.47934181681483534,
        0.4785438735521354,
        0.47894315067466064,
        0.47892701516426683,
        0.47892701516426683,
        0.4785438735521354,
        0.4785274194738966,
        0.5184047044300547,
        0.605444547555515,
        0.6827067871580713,
        0.6917175198164339,
        0.6955100874127669,
        0.6864924393828634,
        0.6802456969363591,
        0.6617305086107534,
        0.6403235714374181,
        0.6322279693903466,
        0.6228778403445568,
        0.5982278071705414,
        0.5920644814044572,
        0.5639936092793153,
        0.5517372335988697,
        0.5231837188021143,
        0.5193197326957472,
        0.49035474455121203,
        0.48686224940226297,
        0.4776232680994496,
        0.47644768807628085,
        0.4756754876093825,
        0.4756754876093825,
        0.47758868274698174,
        0.47760598877662835,
        0.47604308830443487,
        0.47644768807628085,
        0.47484501306451493,
        0.47484501306451493,
        0.4764112576004919,
        0.4731724399189041,
        0.4719405754999418,
        0.4725580598625165,
        0.47235183656998414,
        0.4723733526419015,
        0.4715730206811631,
        0.4723733526419015,
        0.47235183656998414,
        0.4719624286255736,
        0.47235183656998414,
        0.4723302869578278,
        0.47235183656998414,
        0.4723733526419015,
        0.4715951428352427,
        0.47198424773857206,
        0.4723733526419015,
        0.4739702854135306,
        0.47278363758536357,
        0.47198424773857206,
        0.4723733526419015,
        0.4727412445143947,
        0.4715730206811631,
        0.4715730206811631,
        0.4731724399189041,
        0.4740106728522385,
        0.4740106728522385,
        0.4764112576004919,
        0.47561900656584255,
        0.47683378830973,
        0.47488389247252477,
        0.4772374657827295,
        0.47725501591783487,
        0.4791985783130415,
        0.47841153049598795,
        0.4760800588325693,
        0.47644768807628085,
        0.4752893873759333,
        0.4748644678030877,
        0.4748644678030877,
        0.47488389247252477,
        0.47565668969379815,
        0.4744580163138511,
        0.47561900656584255,
        0.48484829196400503,
        0.4845199318311106,
        0.5108189632617394,
        0.5198271485209438,
        0.5445808771518761,
        0.5566242050755813,
        0.5847390342128945,
        0.6039108058264321,
        0.6220258492116386,
        0.6323979063891406,
        0.6553376839225082,
        0.6768991967978597,
        0.6962775468195671,
        0.7227966512859115,
        0.7153253898493489,
        0.704788995515735,
        0.696934592467041,
        0.6171393282397729,
        0.5832052924838115,
        0.4927201132009977,
        0.47891085490616736,
        0.4792942903384381,
        0.47812721043658346,
        0.4785109401399836,
        0.4821433527504713,
        0.49480425357378993,
        0.857335568373891,
        0.8648408855388597,
        0.8794533251939014,
        0.8865808162868468,
        0.8923691109293295,
        0.896488519568594,
        0.8880749333101541,
        0.8847062528303697,
        0.8956551911749744,
        0.8955409201581377,
        0.896362233304493,
        0.8910797279669734,
        0.892856778018619,
        0.8928133950441633,
        0.9004904158244448,
        0.8988697392334637,
        0.9051856979769775,
        0.9066877225668893,
        0.9034366100167395,
        0.9071354610603495,
        0.9069763842078227,
        0.9108703519582388,
        0.9052561679977181,
        0.8968110648143465,
        0.8931763927618843,
        0.8880171253932899,
        0.8820751166490096,
        0.8833931785332962,
        0.8729327189436598,
        0.8693178330009949,
        0.817182401836858,
        0.5397855574826278,
        0.47659229162298283,
        0.4769936777448136,
        0.4791154323835364,
        0.47894315067466064,
        0.47816073194000397,
        0.47894315067466064,
        0.4785438735521354,
        0.47892701516426683,
        0.4785438735521354,
        0.6358235053320807,
        0.6206894116528898,
        0.6851991174678311,
        0.6944015678423292,
        0.6878354933447639,
        0.690430166410265,
        0.6695532387904093,
        0.6527347194143479,
        0.6467639975784539,
        0.6248071495367792,
        0.6156512604368193,
        0.5898917422649906,
        0.5847455320572323,
        0.5532816345326664,
        0.5428900479445868,
        0.5104487141255869,
        0.5015465918083101,
        0.4791181397459493,
        0.47484501306451493,
        0.47644768807628085,
        0.4765021232903797,
        0.4760985013396818,
        0.47725501591783487,
        0.47841153049598795,
        0.478428162592281,
        0.47879703535537227,
        0.47841153049598795,
        0.47725501591783487,
        0.4764112576004919,
        0.4760060033165064,
        0.47860892213965134,
        0.4791985783130415,
        0.4772725390111402,
        0.4760800588325693,
        0.4744580163138511,
        0.47282589900088484,
        0.47198424773857206,
        0.4721257222888532,
        0.4707714411262838,
        0.46957859561291654,
        0.4703817296683978,
        0.4707486419475002,
        0.46955484745348797,
        0.4711836127367525,
        0.4707714411262838,
        0.4707714411262838,
        0.4707486419475002,
        0.4711611525841698,
        0.47198424773857206,
        0.4707714411262838,
        0.47113865739236144,
        0.46996861105777776,
        0.470358626502639,
        0.470358626502639,
        0.4707486419475002,
        0.47155086404205576,
        0.4715951428352427,
        0.47239483525182296,
        0.472027784243803,
        0.4715951428352427,
        0.4707714411262838,
        0.4707714411262838,
        0.4707714411262838,
        0.4715951428352427,
        0.47198424773857206,
        0.4715951428352427,
        0.47239483525182296,
        0.47278363758536357,
        0.4715730206811631,
        0.4711611525841698,
        0.4711836127367525,
        0.4703817296683978,
        0.47239483525182296,
        0.472804784711694,
        0.47278363758536357,
        0.47200603291828236,
        0.47241628447774847,
        0.4724377003974358,
        0.47200603291828236,
        0.472804784711694,
        0.47200603291828236,
        0.47122842825120115,
        0.47200603291828236,
        0.4715951428352427,
        0.4712060379319133,
        0.47081693302858385,
        0.46957859561291654,
        0.46996861105777776,
        0.4703354872663782,
        0.47443823167128224,
        0.4766214331813329,
        0.47683378830973,
        0.4768516634660095,
        0.47765774687152046,
        0.478428162592281,
        0.47765774687152046,
        0.47648400619906617,
        0.4772725390111402,
        0.4760800588325693,
        0.4760985013396818,
        0.4752893873759333,
        0.4752893873759333,
        0.4753084541991292,
        0.4753084541991292,
        0.4753084541991292,
        0.47569425651584923,
        0.47569425651584923,
        0.47648400619906617,
        0.47569425651584923,
        0.4765021232903797,
        0.4761353011691499,
        0.4749226518824091,
        0.47694062706102913,
        0.47969329838852964,
        0.4824291466740083,
        0.4961771758083226,
        0.503493588673356,
        0.5362305615481615,
        0.5583267184472142,
        0.5859673862642237,
        0.6011299237891496,
        0.6289942930279984,
        0.6426067478485176,
        0.70019427354127,
        0.7063273589754597,
        0.6942065665367324,
        0.5637633836338628,
        0.493249805735461,
        0.48467413934623804,
        0.4754787406550841,
        0.4781439840416259,
        0.4800764400006611,
        0.4873464344161239,
        0.7129697889174735,
        0.8095737417484606,
        0.8422064573999181,
        0.8394784325768667,
        0.8658093364740433,
        0.8665234266095133,
        0.8851638364316776,
        0.8871090201563919,
        0.8954595023575485,
        0.8953416207429954,
        0.904946527669062,
        0.9034893828181672,
        0.9081458116858505,
        0.9092690765547783,
        0.9135345918571455,
        0.9193092975558589,
        0.9150778743821254,
        0.9144149450157646,
        0.9151280348751574,
        0.9173296112429191,
        0.9148932478917707,
        0.9146592609032311,
        0.9086151671625772,
        0.9085635501289652,
        0.8920051159447855,
        0.8912105810157676,
        0.8779270495717022,
        0.8736789369381917,
        0.8560455378730051,
        0.8380346855457128,
        0.6495396222666513,
        0.47964650877187975,
        0.47661024231254284,
        0.4785438735521354,
        0.47892701516426683,
        0.47816073194000397,
        0.4785438735521354,
        0.4781439840416259,
        0.4781439840416259,
        0.4781439840416259,
        0.4781439840416259,
        0.4773423622125273,
        0.47812721043658346,
        0.4777434807331833,
        0.47753242939631313,
        0.4777434807331833,
        0.480798582051556,
        0.47816073194000397,
        0.5268197166806935,
        0.6782118055383557,
        0.6843941378805911,
        0.7094014271845138,
        0.7178485054260055,
        0.7285655705178705,
        0.6923224049344728,
        0.6848671211763135,
        0.6592832530408124,
        0.638500134489457,
        0.6137768465528286,
        0.5880089922670222,
        0.5668200536007162,
        0.5451038711694818,
        0.5335646040238601,
        0.524361741320022,
        0.5073413757660089,
        0.5057823755122773,
        0.48803069507975605,
        0.485714093679061,
        0.479968994033802,
        0.4788459652545121,
        0.4780429547319007,
        0.4789542860921338,
        0.4776232680994496,
        0.48035420189418226,
        0.4791985783130415,
        0.47998441435564265,
        0.47958378617342173,
        0.4795995030369934,
        0.47881337045266126,
        0.47921459171834413,
        0.4823211015000738,
        0.4793949398205312,
        0.47841153049598795,
        0.4791985783130415,
        0.47921459171834413,
        0.47958378617342173,
        0.4795995030369934,
        0.47993808199977006,
        0.47995354993352535,
        0.47802602563660357,
        0.47886222507497367,
        0.47881337045266126,
        0.4791985783130415,
        0.4791985783130415,
        0.47882968039969487,
        0.4780429547319007,
        0.47725501591783487,
        0.4752893873759333,
        0.47451718690903494,
        0.4749226518824091,
        0.47569425651584923,
        0.47765774687152046,
        0.4788459652545121,
        0.47729003512509777,
        0.48035420189418226,
        0.49383172487136223,
        0.5034640047932483,
        0.5180906349019206,
        0.5389357934193321,
        0.5620633919499948,
        0.5857916926045446,
        0.6074727958196675,
        0.6340104872596859,
        0.6649763334883909,
        0.6792670710952919,
        0.7139513908471457,
        0.7174587939681196,
        0.7591579199619212,
        0.7410641962510734,
        0.5378376251946995,
        0.4892636115774776,
        0.489271838691815,
        0.5352488321475846,
        0.8346430771953561,
        0.8570327142192546,
        0.865988028383046,
        0.8775546782169849,
        0.8881005085047593,
        0.8959814261738003,
        0.8991362163596995,
        0.9028745436893811,
        0.9016576952750278,
        0.901927295876967,
        0.902044349841493,
        0.9021668349141992,
        0.9120751192585199,
        0.8502814394902495,
        0.7473044727667304,
        0.6208069446284084,
        0.5104578863044972,
        0.6443410835488016,
        0.5179951556780638,
        0.40493983586343,
        0.42730456893346985,
        0.574066935410884,
        0.7091680140572401,
        0.8488748309703621,
        0.8672193906149046,
        0.8740556121720892,
        0.8781367560869028,
        0.8643036829424129,
        0.8967657884377415,
        0.8927564549829012,
        0.8785541470618299,
        0.8686114075293359,
        0.7129485370285324,
        0.4732414049697252,
        0.4758433714480014,
        0.477411757706876,
        0.47934181681483534,
        0.47972437213551755,
        0.47894315067466064,
        0.4787236239561094,
        0.47812721043658346,
        0.4793101567763982,
        0.4785274194738966,
        0.4785274194738966,
        0.47812721043658346,
        0.4782998888031134,
        0.47812721043658346,
        0.47812721043658346,
        0.47812721043658346,
        0.4781104110656448,
        0.47891085490616736,
        0.477726386639086,
        0.47812721043658346,
        0.47812721043658346,
        0.47812721043658346,
        0.4796777257707089,
        0.48770157593911845,
        0.527223719372282,
        0.6798208801957304,
        0.7075872667045288,
        0.7081057189788557,
        0.7028813396610234,
        0.6721787205015526,
        0.6685500060034271,
        0.6434136169697803,
        0.6222781348317223,
        0.6045698609296911,
        0.5823708251163491,
        0.5618752592773768,
        0.5411536330225691,
        0.5259620713682982,
        0.5127214629811958,
        0.4996145949131952,
        0.49460273459013093,
        0.4834103028502507,
        0.47490328714248414,
        0.47604308830443487,
        0.4791985783130415,
        0.47881337045266126,
        0.48039950348612925,
        0.47937192185021255,
        0.4807690414201929,
        0.47958378617342173,
        0.47923058048764827,
        0.478428162592281,
        0.4804145576249973,
        0.4794424004955963,
        0.47846135002137596,
        0.47964650877187975,
        0.4772725390111402,
        0.47725501591783487,
        0.47879703535537227,
        0.47844476908104555,
        0.4770509505182564,
        0.4791985783130415,
        0.4780598577623963,
        0.47886222507497367,
        0.47846135002137596,
        0.4788459652545121,
        0.47886222507497367,
        0.4799998109539206,
        0.47924654467776256,
        0.4788459652545121,
        0.47923058048764827,
        0.4796151957207844,
        0.47882968039969487,
        0.4795995030369934,
        0.47844476908104555,
        0.48035420189418226,
        0.47918254021475665,
        0.47876428947697586,
        0.4768158855257083,
        0.4764294869150716,
        0.4795364899438742,
        0.47765774687152046,
        0.4791985783130415,
        0.47683378830973,
        0.47765774687152046,
        0.4780598577623963,
        0.4792942903384381,
        0.47889466984338375,
        0.4785109401399836,
        0.4784779054721848,
        0.4793101567763982,
        0.47926248434532104,
        0.4777092662666069,
        0.470358626502639,
        0.4780429547319007,
        0.4731932849456395,
        0.47525116525243877,
        0.47936117956937385,
        0.4817544668802119,
        0.5027235351015953,
        0.5165173039246228,
        0.5155639969114658,
        0.5198287199437756,
        0.5326338207393037,
        0.5275619020871942,
        0.521542139060159,
        0.4918602698973192,
        0.47509626292493307,
        0.4785274194738966,
        0.47812721043658346,
        0.4785274194738966,
        0.4785274194738966,
        0.4777434807331833,
        0.4785274194738966,
        0.47812721043658346,
        0.4781439840416259,
        0.4773597510297831,
        0.49347639857258935,
        0.7292783013119798,
        0.8346801944909472,
        0.8583394859939073,
        0.8710964512089125,
        0.8795200862309086,
        0.8829047809903179,
        0.8903708771307896,
        0.8932090612116544,
        0.8948816908832375,
        0.891154092773132,
        0.8952314146212125,
        0.8953263993866896,
        0.8925608074260983,
        0.894659265989402,
        0.8963387165815012,
        0.8969260303632517,
        0.8977717195117346,
        0.8971705783697141,
        0.8992773190770567,
        0.9001502322273743,
        0.899153211918708,
        0.9081275308464593,
        0.8699174026756588,
        0.8213417676415032,
        0.6539989284881556,
        0.36243274034428996,
        0.703934497692026,
        0.8390551413327775,
        0.850379494962956,
        0.8854882000296561,
        0.8943694562668085,
        0.885318961617361,
        0.8662243030367838,
        0.8432551380959828,
        0.8128328894360705,
        0.4873754785491622,
        0.47812721043658346,
        0.4762085619195827,
        0.47737711317708437,
        0.4785438735521354,
        0.4785438735521354,
        0.47816073194000397,
        0.4785274194738966,
        0.4779161590997133,
        0.4785109401399836,
        0.47812721043658346,
        0.4781104110656448,
        0.4785109401399836,
        0.4785274194738966,
        0.47812721043658346,
        0.4785109401399836,
        0.4785109401399836,
        0.477726386639086,
        0.4781104110656448,
        0.47812721043658346,
        0.4785109401399836,
        0.477726386639086,
        0.4785274194738966,
        0.4785109401399836,
        0.477726386639086,
        0.4781104110656448,
        0.4785109401399836,
        0.4785109401399836,
        0.4927033392748773,
        0.5799882602041525,
        0.9132982788881667,
        0.9266091176377268,
        0.9310357879546474,
        0.9310054869728052,
        0.9325269286631922,
        0.9314059439666182,
        0.9308224850109094,
        0.9307855635369601,
        0.9301963622730226,
        0.9322333248780108,
        0.9326269073150544,
        0.9348358495375256,
        0.9312755379144602,
        0.9317159757446764,
        0.926608155117627,
        0.9226878586686288,
        0.9236106695717433,
        0.9074382619013356,
        0.9160481135379702,
        0.8880386538358604,
        0.8801887098956745,
        0.9033454558587103,
        0.9211361326827032,
        0.907880754836984,
        0.9105032516852467,
        0.8992422571878056,
        0.9067777278451677,
        0.9252773566737719,
        0.9261542375976147,
        0.922950932263755,
        0.9120165875768983,
        0.8945494012564822,
        0.8837429266130834,
        0.8671993416489369,
        0.858298511072626,
        0.8478640798539114,
        0.8642019902946155,
        0.8413158638989701,
        0.7868003862923093,
        0.645576668819035,
        0.561789016197137,
        0.4857251167505711,
        0.48652790677268026,
        0.49692288121191136,
        0.5038400476450811,
        0.5176649270011962,
        0.9226072464451113,
        0.9424553637127434,
        0.9435185030188955,
        0.9443423411694073,
        0.9451852405763007,
        0.9462003213808472,
        0.9471298267099605,
        0.9465729848298314,
        0.9474010934548996,
        0.9469180951916037,
        0.945462946658665,
        0.9450344019647497,
        0.9455781856532267,
        0.9456034038104898,
        0.9454392067661704,
        0.9452515628148835,
        0.9435558270538112,
        0.9436574994936852,
        0.9457973724780631,
        0.9451725066601994,
        0.9454405658474329,
        0.9470401208064315,
        0.9474704396071089,
        0.9480054588491867,
        0.947291126256386,
        0.9463586569037131,
        0.9469575001230576,
        0.946428193152822,
        0.946442154356229,
        0.9470774160253033,
        0.9458754041628472,
        0.9454407968112251,
        0.9456730742485403,
        0.9453732519318426,
        0.944083739488306,
        0.9445259562914389,
        0.9450604997085814,
        0.9448525617533242,
        0.9456730742485403,
        0.9445039313589241,
        0.9459309926928091,
        0.9472012597760959,
        0.9446285283985886,
        0.9454036033984036,
        0.9456539186134325,
        0.9459468872462451,
        0.9459990714245758,
        0.9458199026939779,
        0.9453855924471604,
        0.9456858947520171,
        0.9446508748736301,
        0.9449726597443123,
        0.9460020710956388,
        0.9460357265539309,
        0.9462879147687255,
        0.9461542215334685,
        0.9465476124056824,
        0.9452381829953077,
        0.9468647596255859,
        0.9458165478282893,
        0.9455275932938315,
        0.9446030121256968,
        0.9459216041671699,
        0.9466039490856519,
        0.9462879147687255,
        0.9447716322931794,
        0.9461254066118231,
        0.9441537985751223,
        0.9451083131261214,
        0.9449165476287401,
        0.9456152144457721,
        0.9444275664711685,
        0.9452934996105863,
        0.9452623535236265,
        0.9444997140479636,
        0.9455802201619531,
        0.9439444577941147,
        0.9393034966694479,
        0.9199635074473539,
        0.8913435446647414,
        0.28740952823108357,
        0.8195534887453744,
        0.9010618043245102,
        0.9201087728190921,
        0.931368593465981,
        0.9351191507697031,
        0.9378751242986577,
        0.936419205318381,
        0.9383537134749989,
        0.9338546048728167,
        0.9331119518304841,
        0.9123341377608423,
        0.9097704228419141,
        0.86079075213144,
        0.8503286103960924,
        0.4707014333083008,
        0.4723500446672635,
        0.4723500446672635,
        0.4723287918275623,
        0.4738861423734985,
        0.474289913402582,
        0.4746736431059821,
        0.4750382156531748,
        0.47622680688027214,
        0.4763893943677383,
        0.47657431335940975,
        0.4773423622125273,
        0.4785109401399836,
        0.47964650877187975,
        0.4812114674997919,
        0.4819783383643334,
        0.48237528967344956,
        0.4842909977341066,
        0.481908970948889,
        0.4818950333357033,
        0.4838335275421354,
        0.48460335017943396,
        0.4853731728167325,
        0.48574711193950587,
        0.48727814226182814,
        0.4884346568399812,
        0.48959919054330847,
        0.49114684259647157,
        0.4909351413712144,
        0.490377019959173,
        0.4899921086405237,
        0.4907690374817329,
        0.490377019959173,
        0.490377019959173,
        0.490377019959173,
        0.4907619312778223,
        0.4907619312778223,
        0.4907619312778223,
        0.4907619312778223,
        0.490377019959173,
        0.4907619312778223,
        0.49114684259647157,
        0.4915382679480052,
        0.49114684259647157,
        0.4915382679480052,
        0.4915382679480052,
        0.4915382679480052,
        0.49132305855753783,
        0.49115365271486905,
        0.49115365271486905,
        0.49115365271486905,
        0.4915382679480052,
        0.49115365271486905,
        0.4907619312778223,
        0.49115365271486905,
        0.49115365271486905,
        0.4907690374817329,
        0.490377019959173,
        0.4915382679480052,
        0.49115365271486905,
        0.49115365271486905,
        0.4915382679480052,
        0.49154477196700747,
        0.49114684259647157,
        0.49114684259647157,
        0.49115365271486905,
        0.49115365271486905,
        0.4915382679480052,
        0.4915382679480052,
        0.4907690374817329,
        0.49038442224859674,
        0.4915382679480052,
        0.4915382679480052,
        0.49171421295883844,
        0.4915382679480052,
        0.4915382679480052,
        0.49115365271486905,
        0.49154477196700747,
        0.49115365271486905,
        0.49115365271486905,
        0.49115365271486905,
        0.49192288318114136,
        0.49192288318114136,
        0.4915382679480052,
        0.4907619312778223,
        0.4915382679480052,
        0.49192288318114136,
        0.49192288318114136,
        0.4907619312778223,
        0.49114684259647157,
        0.49115365271486905,
        0.4915382679480052,
        0.49114684259647157,
        0.4907619312778223,
        0.4915382679480052,
        0.49115365271486905,
        0.4915382679480052,
        0.4915382679480052,
        0.4915382679480052,
        0.49192909156979636,
        0.4915382679480052,
        0.49114684259647157,
        0.49114684259647157,
        0.4915382679480052,
        0.49192288318114136,
        0.4915382679480052,
        0.4915382679480052,
        0.4915382679480052
    ],
    "depth_cv_per_image": [
        0.2084134817123413,
        0.20836211740970612,
        0.20852047204971313,
        0.20861458778381348,
        0.2086094617843628,
        0.20852196216583252,
        0.2085154801607132,
        0.20859751105308533,
        0.2085842341184616,
        0.20853886008262634,
        0.2083243429660797,
        0.20852437615394592,
        0.2084927260875702,
        0.20833183825016022,
        0.20862551033496857,
        0.20830093324184418,
        0.2085936814546585,
        0.20874926447868347,
        0.2084120661020279,
        0.20860080420970917,
        0.20851194858551025,
        0.20854522287845612,
        0.2088886946439743,
        0.20853599905967712,
        0.2085086852312088,
        0.20845797657966614,
        0.2086285799741745,
        0.20880171656608582,
        0.20862248539924622,
        0.20839063823223114,
        0.20853808522224426,
        0.20868532359600067,
        0.2085765302181244,
        0.2083599865436554,
        0.20847122371196747,
        0.2086031287908554,
        0.20861123502254486,
        0.20846547186374664,
        0.20857858657836914,
        0.20849056541919708,
        0.208425372838974,
        0.20866669714450836,
        0.20845600962638855,
        0.20822499692440033,
        0.2084457129240036,
        0.20867429673671722,
        0.20826773345470428,
        0.20852766931056976,
        0.2082500010728836,
        0.2085162103176117,
        0.20883004367351532,
        0.20884360373020172,
        0.20840992033481598,
        0.20876345038414001,
        0.20855547487735748,
        0.20840425789356232,
        0.20843301713466644,
        0.20867344737052917,
        0.20861470699310303,
        0.20867738127708435,
        0.20817796885967255,
        0.20852898061275482,
        0.2084556221961975,
        0.20834515988826752,
        0.20858924090862274,
        0.20865067839622498,
        0.208562970161438,
        0.20866639912128448,
        0.20849193632602692,
        0.20840854942798615,
        0.2082904726266861,
        0.20846891403198242,
        0.2087048888206482,
        0.20871302485466003,
        0.2084590345621109,
        0.20857441425323486,
        0.20825152099132538,
        0.20873357355594635,
        0.20846016705036163,
        0.20885756611824036,
        0.20852716267108917,
        0.20863023400306702,
        0.20815864205360413,
        0.20846515893936157,
        0.2086510807275772,
        0.2090369015932083,
        0.2086154818534851,
        0.2085939347743988,
        0.20845995843410492,
        0.2082332968711853,
        0.20833323895931244,
        0.20861850678920746,
        0.20857392251491547,
        0.20822668075561523,
        0.20843693614006042,
        0.20826414227485657,
        0.20828299224376678,
        0.2081284373998642,
        0.20839083194732666,
        0.20854736864566803,
        0.2082100659608841,
        0.2083757370710373,
        0.20835761725902557,
        0.2082306295633316,
        0.20833423733711243,
        0.20855960249900818,
        0.20844365656375885,
        0.20849786698818207,
        0.20839914679527283,
        0.20828551054000854,
        0.20849297940731049,
        0.2084614485502243,
        0.20830796658992767,
        0.2085963487625122,
        0.2085643708705902,
        0.20843155682086945,
        0.20851115882396698,
        0.20820468664169312,
        0.2083427757024765,
        0.20829707384109497,
        0.20840390026569366,
        0.20856177806854248,
        0.20838642120361328,
        0.20847763121128082,
        0.20824700593948364,
        0.2081732600927353,
        0.20852318406105042,
        0.20845510065555573,
        0.2084970921278,
        0.20836588740348816,
        0.20865154266357422,
        0.20854777097702026,
        0.20838533341884613,
        0.20855718851089478,
        0.20850849151611328,
        0.20819120109081268,
        0.20825429260730743,
        0.2083723396062851,
        0.20832428336143494,
        0.2084210216999054,
        0.20840375125408173,
        0.20824985206127167,
        0.20840629935264587,
        0.208450585603714,
        0.20813068747520447,
        0.20837315917015076,
        0.2085084468126297,
        0.2085973173379898,
        0.2080584466457367,
        0.20838305354118347,
        0.2084103673696518,
        0.20870155096054077,
        0.208457350730896,
        0.2086286097764969,
        0.20837374031543732,
        0.20828348398208618,
        0.20819340646266937,
        0.20850947499275208,
        0.20849139988422394,
        0.2085399031639099,
        0.20845066010951996,
        0.2084140032529831,
        0.2081584930419922,
        0.20828622579574585,
        0.20849819481372833,
        0.20819029211997986,
        0.20815490186214447,
        0.2082197368144989,
        0.20835724472999573,
        0.20835883915424347,
        0.2082759588956833,
        0.20860397815704346,
        0.20841605961322784,
        0.20818309485912323,
        0.20833201706409454,
        0.20837171375751495,
        0.20861665904521942,
        0.20857413113117218,
        0.20856475830078125,
        0.208443745970726,
        0.20849044620990753,
        0.20841677486896515,
        0.20846731960773468,
        0.20811620354652405,
        0.20833003520965576,
        0.2082347720861435,
        0.20849601924419403,
        0.20814864337444305,
        0.2085566371679306,
        0.20851445198059082,
        0.20838184654712677,
        0.2085590958595276,
        0.20848172903060913,
        0.2083909660577774,
        0.20851917564868927,
        0.20850034058094025,
        0.20840875804424286,
        0.20840920507907867,
        0.20838236808776855,
        0.2084730714559555,
        0.2082960158586502,
        0.2082664519548416,
        0.20851126313209534,
        0.2085304707288742,
        0.2081242948770523,
        0.20821572840213776,
        0.20821034908294678,
        0.20836234092712402,
        0.20808663964271545,
        0.20863012969493866,
        0.20851226150989532,
        0.20853936672210693,
        0.20840124785900116,
        0.2085639238357544,
        0.208448588848114,
        0.20855358242988586,
        0.2085319459438324,
        0.20823808014392853,
        0.2086087316274643,
        0.20865336060523987,
        0.20865944027900696,
        0.2083066999912262,
        0.20816196501255035,
        0.20825187861919403,
        0.20836961269378662,
        0.20876070857048035,
        0.20838646590709686,
        0.208456352353096,
        0.2084597796201706,
        0.20847094058990479,
        0.20867151021957397,
        0.20837216079235077,
        0.2085142582654953,
        0.20857666432857513,
        0.20873978734016418,
        0.2087562531232834,
        0.2086227685213089,
        0.208494171500206,
        0.20840102434158325,
        0.20852379500865936,
        0.20856091380119324,
        0.2085752934217453,
        0.20872162282466888,
        0.2087746560573578,
        0.2089148312807083,
        0.20874661207199097,
        0.20885753631591797,
        0.20887960493564606,
        0.2087598592042923,
        0.20860736072063446,
        0.20884132385253906,
        0.20864787697792053,
        0.20856811106204987,
        0.2085268199443817,
        0.20850500464439392,
        0.20855405926704407,
        0.20868539810180664,
        0.20872463285923004,
        0.20860959589481354,
        0.20884186029434204,
        0.20885470509529114,
        0.20850738883018494,
        0.20886509120464325,
        0.20883940160274506,
        0.20888672769069672,
        0.20887437462806702,
        0.20904536545276642,
        0.2089596539735794,
        0.20887960493564606,
        0.20867176353931427,
        0.20893296599388123,
        0.20914572477340698,
        0.20901915431022644,
        0.2091914266347885,
        0.20913243293762207,
        0.2088380604982376,
        0.2089935541152954,
        0.20915506780147552,
        0.20904381573200226,
        0.20920710265636444,
        0.20881326496601105,
        0.20926888287067413,
        0.208845853805542,
        0.20872268080711365,
        0.20908662676811218,
        0.2086970955133438,
        0.20876310765743256,
        0.2091338187456131,
        0.20894259214401245,
        0.20867784321308136,
        0.20878668129444122,
        0.20878899097442627,
        0.20871512591838837,
        0.20889627933502197,
        0.20884309709072113,
        0.20872600376605988,
        0.20871414244174957,
        0.20867057144641876,
        0.20894770324230194,
        0.20918957889080048,
        0.20880478620529175,
        0.2089928388595581,
        0.20891833305358887,
        0.2090419977903366,
        0.20877273380756378,
        0.20902019739151,
        0.20880146324634552,
        0.2085215300321579,
        0.20897413790225983,
        0.20894621312618256,
        0.20892471075057983,
        0.20876038074493408,
        0.2087305784225464,
        0.20877031981945038,
        0.20887444913387299,
        0.2088175266981125,
        0.20894643664360046,
        0.2088048756122589,
        0.2088068425655365,
        0.2087191939353943,
        0.20877927541732788,
        0.2089042067527771,
        0.2086864560842514,
        0.20867919921875,
        0.20885391533374786,
        0.2090764194726944,
        0.20876941084861755,
        0.208659365773201,
        0.20895707607269287,
        0.20867358148097992,
        0.20836855471134186,
        0.20850571990013123,
        0.20863832533359528,
        0.2085620015859604,
        0.20864687860012054,
        0.20871038734912872,
        0.20862863957881927,
        0.20849016308784485,
        0.20878943800926208,
        0.20847398042678833,
        0.20855633914470673,
        0.2087770253419876,
        0.20848312973976135,
        0.2087201625108719,
        0.20885448157787323,
        0.20852530002593994,
        0.20861861109733582,
        0.2086307257413864,
        0.2089395970106125,
        0.2088405340909958,
        0.20867668092250824,
        0.20881770551204681,
        0.20898666977882385,
        0.2086065262556076,
        0.20882029831409454,
        0.20888395607471466,
        0.20897197723388672,
        0.2087390422821045,
        0.20862706005573273,
        0.20876052975654602,
        0.20897984504699707,
        0.20895150303840637,
        0.20913495123386383,
        0.20901568233966827,
        0.2089928835630417,
        0.20893946290016174,
        0.20889277756214142,
        0.20909254252910614,
        0.20885218679904938,
        0.20880022644996643,
        0.20944389700889587,
        0.20914538204669952,
        0.20912262797355652,
        0.20919667184352875,
        0.20928950607776642,
        0.20931632816791534,
        0.2091999351978302,
        0.20928476750850677,
        0.2091812640428543,
        0.20901884138584137,
        0.20896318554878235,
        0.20912481844425201,
        0.20898622274398804,
        0.2089024782180786,
        0.20866061747074127,
        0.20910434424877167,
        0.20856031775474548,
        0.20890475809574127,
        0.20904363691806793,
        0.20864352583885193,
        0.20900650322437286,
        0.2086934894323349,
        0.20882490277290344,
        0.20874536037445068,
        0.2089088261127472,
        0.20881988108158112,
        0.2086462825536728,
        0.2089160978794098,
        0.20866110920906067,
        0.20907574892044067,
        0.2088128626346588,
        0.20880426466464996,
        0.2088175266981125,
        0.208712637424469,
        0.20867930352687836,
        0.20860719680786133,
        0.20876257121562958,
        0.20886948704719543,
        0.20881950855255127,
        0.2089187055826187,
        0.20875391364097595,
        0.20878012478351593,
        0.2089153379201889,
        0.20885547995567322,
        0.2088034600019455,
        0.20906119048595428,
        0.20909425616264343,
        0.20896069705486298,
        0.2088712751865387,
        0.20865708589553833,
        0.20876532793045044,
        0.20881468057632446,
        0.20893138647079468,
        0.20876263082027435,
        0.20901311933994293,
        0.2089211791753769,
        0.2087654322385788,
        0.20870210230350494,
        0.2087831199169159,
        0.2085990309715271,
        0.20902764797210693,
        0.2088007777929306,
        0.20884473621845245,
        0.20896519720554352,
        0.20876236259937286,
        0.2087281346321106,
        0.20890262722969055,
        0.20922692120075226,
        0.20751135051250458,
        0.3008219301700592,
        0.3467347323894501,
        0.4078608751296997,
        0.45520737767219543,
        0.5273326635360718,
        0.5566188097000122,
        0.6694441437721252,
        0.7003840208053589,
        0.8044134974479675,
        0.8265553712844849,
        0.9120728373527527,
        0.8886271119117737,
        1.041935682296753,
        1.0356017351150513,
        1.222183346748352,
        1.1549043655395508,
        1.0451023578643799,
        1.0087653398513794,
        0.9281410574913025,
        0.8896847367286682,
        0.8060211539268494,
        0.7585662603378296,
        0.6653081774711609,
        0.6311876177787781,
        0.5077681541442871,
        0.480834424495697,
        0.34838005900382996,
        0.28525248169898987,
        0.2290779948234558,
        0.22503921389579773,
        0.22523808479309082,
        0.23137474060058594,
        0.22856056690216064,
        0.2228969931602478,
        0.2171243578195572,
        0.22162316739559174,
        0.2187737673521042,
        0.21267905831336975,
        0.21612407267093658,
        0.2148924618959427,
        0.20813700556755066,
        0.20613905787467957,
        0.207052543759346,
        0.208076611161232,
        0.20938386023044586,
        0.20902696251869202,
        0.20789340138435364,
        0.20736828446388245,
        0.2075483351945877,
        0.2082015872001648,
        0.20859748125076294,
        0.20878270268440247,
        0.20903518795967102,
        0.20893213152885437,
        0.2088426798582077,
        0.2094728648662567,
        0.20921528339385986,
        0.2093035876750946,
        0.20953160524368286,
        0.20951861143112183,
        0.20936867594718933,
        0.20948530733585358,
        0.20933973789215088,
        0.20917890965938568,
        0.20935145020484924,
        0.2092657834291458,
        0.20931941270828247,
        0.20911182463169098,
        0.20916329324245453,
        0.20910988748073578,
        0.20928290486335754,
        0.2092093974351883,
        0.20911620557308197,
        0.20935703814029694,
        0.20926563441753387,
        0.20953971147537231,
        0.2096855193376541,
        0.2093224823474884,
        0.209266796708107,
        0.20928986370563507,
        0.20921017229557037,
        0.20933924615383148,
        0.20899447798728943,
        0.20908397436141968,
        0.20931658148765564,
        0.20925547182559967,
        0.20925799012184143,
        0.2091129869222641,
        0.20911183953285217,
        0.20885887742042542,
        0.2090567946434021,
        0.20965170860290527,
        0.20933739840984344,
        0.21038445830345154,
        0.20972426235675812,
        0.21123766899108887,
        0.2174832671880722,
        0.2183244526386261,
        0.20969058573246002,
        0.2098512500524521,
        0.2098248451948166,
        0.20971305668354034,
        0.21013851463794708,
        0.21029546856880188,
        0.20921820402145386,
        0.20810581743717194,
        0.20970703661441803,
        0.21219898760318756,
        0.20973744988441467,
        0.21035803854465485,
        0.21295340359210968,
        0.21252354979515076,
        0.2089463472366333,
        0.20898902416229248,
        0.20906001329421997,
        0.20931857824325562,
        0.20917236804962158,
        0.20898184180259705,
        0.2091626226902008,
        0.2092016488313675,
        0.20917893946170807,
        0.2092898190021515,
        0.20902220904827118,
        0.20261316001415253,
        0.38060200214385986,
        0.3963099718093872,
        0.5265737771987915,
        0.5723211765289307,
        0.6420168876647949,
        0.6861092448234558,
        0.7560951113700867,
        0.8267404437065125,
        0.8851935267448425,
        0.9414987564086914,
        1.1058872938156128,
        1.1120010614395142,
        1.208791732788086,
        1.217306137084961,
        1.1602145433425903,
        1.1540799140930176,
        1.117190957069397,
        1.1104323863983154,
        1.068708062171936,
        1.0163853168487549,
        1.0265923738479614,
        1.0656523704528809,
        1.0487972497940063,
        1.1059048175811768,
        1.1108486652374268,
        1.0976349115371704,
        1.1324011087417603,
        1.1164867877960205,
        1.0312706232070923,
        0.987420916557312,
        1.1878384351730347,
        1.272932529449463,
        1.0581154823303223,
        1.048082947731018,
        1.074197769165039,
        1.0404338836669922,
        1.0760687589645386,
        1.1554993391036987,
        1.259761929512024,
        0.9631648659706116,
        0.8801978826522827,
        0.852958619594574,
        0.9829630255699158,
        0.9449448585510254,
        0.9087168574333191,
        0.7875156998634338,
        0.7274584174156189,
        0.7259671092033386,
        0.7292723655700684,
        0.7773897647857666,
        0.7714909911155701,
        0.7832724452018738,
        0.8008681535720825,
        0.7950916886329651,
        0.9509303569793701,
        1.0699883699417114,
        0.9339828491210938,
        1.1008827686309814,
        1.1639541387557983,
        0.9511888027191162,
        1.0841224193572998,
        0.9771168231964111,
        0.9168661236763,
        0.8815814256668091,
        0.7831529974937439,
        0.7437087297439575,
        0.6700358986854553,
        0.6404916048049927,
        0.5582836866378784,
        0.4839872121810913,
        0.4126349985599518,
        0.3262040317058563,
        0.27409276366233826,
        0.21807564795017242,
        0.20324669778347015,
        0.20390895009040833,
        0.20407234132289886,
        0.20454098284244537,
        0.20580263435840607,
        0.20651602745056152,
        0.2066752314567566,
        0.20739276707172394,
        0.20779308676719666,
        0.20828528702259064,
        0.20866844058036804,
        0.20870259404182434,
        0.20896905660629272,
        0.20890001952648163,
        0.20903590321540833,
        0.20915119349956512,
        0.2091260850429535,
        0.20862355828285217,
        0.20889613032341003,
        0.20895570516586304,
        0.20881281793117523,
        0.20875774323940277,
        0.20860208570957184,
        0.20869028568267822,
        0.20859192311763763,
        0.20863965153694153,
        0.20844583213329315,
        0.20869971811771393,
        0.2085275799036026,
        0.20855563879013062,
        0.20859892666339874,
        0.20865832269191742,
        0.20886920392513275,
        0.2085832953453064,
        0.20860417187213898,
        0.20863455533981323,
        0.20843103528022766,
        0.20858097076416016,
        0.20848292112350464,
        0.20837318897247314,
        0.20849494636058807,
        0.20867767930030823,
        0.2090720683336258,
        0.20863932371139526,
        0.20895026624202728,
        0.20891866087913513,
        0.2089499682188034,
        0.20896634459495544,
        0.2086930125951767,
        0.20873722434043884,
        0.20903553068637848,
        0.20899637043476105,
        0.20886868238449097,
        0.20906704664230347,
        0.20894299447536469,
        0.2088712900876999,
        0.20881402492523193,
        0.20914189517498016,
        0.2083306759595871,
        0.20845197141170502,
        0.20891889929771423,
        0.20831343531608582,
        0.2062569558620453,
        0.20604737102985382,
        0.2078896313905716,
        0.2073996514081955,
        0.2082671821117401,
        0.20962291955947876,
        0.21018292009830475,
        0.20922806859016418,
        0.2084254026412964,
        0.20860426127910614,
        0.2082076072692871,
        0.21075111627578735,
        0.2091217339038849,
        0.2112043797969818,
        0.21095368266105652,
        0.21002203226089478,
        0.209332674741745,
        0.2093932181596756,
        0.21033824980258942,
        0.20978087186813354,
        0.2101982980966568,
        0.21175718307495117,
        0.2120027393102646,
        0.2118423730134964,
        0.21213078498840332,
        0.2112661451101303,
        0.2117176502943039,
        0.21145538985729218,
        0.21138028800487518,
        0.21142669022083282,
        0.21158760786056519,
        0.21187669038772583,
        0.21219441294670105,
        0.21262021362781525,
        0.21230314671993256,
        0.2125770002603531,
        0.2121148258447647,
        0.2126147449016571,
        0.2127636969089508,
        0.21237502992153168,
        0.2125513106584549,
        0.2126682549715042,
        0.212620347738266,
        0.2125001847743988,
        0.21223139762878418,
        0.21301501989364624,
        0.21329903602600098,
        0.21342861652374268,
        0.21305403113365173,
        0.21315455436706543,
        0.2126930207014084,
        0.21279513835906982,
        0.2123470902442932,
        0.21231922507286072,
        0.2122504562139511,
        0.21227973699569702,
        0.21093471348285675,
        0.2110651433467865,
        0.21062278747558594,
        0.2105773389339447,
        0.21065597236156464,
        0.2104731947183609,
        0.2104761302471161,
        0.20988520979881287,
        0.20992226898670197,
        0.210471972823143,
        0.21008509397506714,
        0.20991049706935883,
        0.20968855917453766,
        0.2098841816186905,
        0.2102172076702118,
        0.2101801633834839,
        0.21012693643569946,
        0.20965027809143066,
        0.20966780185699463,
        0.20986206829547882,
        0.21011759340763092,
        0.20985957980155945,
        0.20994456112384796,
        0.2099311351776123,
        0.2099633365869522,
        0.20976586639881134,
        0.20966291427612305,
        0.20939207077026367,
        0.20861119031906128,
        0.20865187048912048,
        0.2082120031118393,
        0.20885683596134186,
        0.2086462825536728,
        0.2100161612033844,
        0.20926718413829803,
        0.21035881340503693,
        0.21204306185245514,
        0.2102590948343277,
        0.2092854529619217,
        0.20585085451602936,
        0.2056812345981598,
        0.20605847239494324,
        0.20565403997898102,
        0.20531807839870453,
        0.20569942891597748,
        0.20612387359142303,
        0.20571790635585785,
        0.20641455054283142,
        0.20620222389698029,
        0.2058108150959015,
        0.2060803920030594,
        0.20598770678043365,
        0.20617201924324036,
        0.20619718730449677,
        0.20607700943946838,
        0.20593929290771484,
        0.20618261396884918,
        0.20623469352722168,
        0.2062346190214157,
        0.20617088675498962,
        0.2063174545764923,
        0.20593751966953278,
        0.20621614158153534,
        0.20611010491847992,
        0.20557333528995514,
        0.2059880644083023,
        0.2059609442949295,
        0.20592358708381653,
        0.2059791088104248,
        0.20561686158180237,
        0.20573604106903076,
        0.20573845505714417,
        0.20575952529907227,
        0.2056724727153778,
        0.20566383004188538,
        0.2056608498096466,
        0.20549724996089935,
        0.20585274696350098,
        0.20568422973155975,
        0.20560304820537567,
        0.2055216282606125,
        0.20538930594921112,
        0.2055360972881317,
        0.20549605786800385,
        0.2063961774110794,
        0.24133522808551788,
        0.30360427498817444,
        0.30162230134010315,
        0.48661497235298157,
        0.5706056952476501,
        0.6431180238723755,
        0.7202624082565308,
        0.7592290639877319,
        0.7654731273651123,
        0.8546121120452881,
        0.8763084411621094,
        0.889599084854126,
        0.9061847925186157,
        0.888095498085022,
        0.9026896953582764,
        0.9175435304641724,
        0.928048849105835,
        0.9550492167472839,
        0.9408604502677917,
        1.0154662132263184,
        0.9983059167861938,
        0.9959773421287537,
        1.0111178159713745,
        1.0581629276275635,
        1.030839204788208,
        1.0211937427520752,
        1.0196096897125244,
        1.026728868484497,
        0.9575139880180359,
        0.9573045372962952,
        0.9594881534576416,
        0.9673196077346802,
        0.960447371006012,
        0.9490255117416382,
        0.9513042569160461,
        0.9513781666755676,
        0.956788957118988,
        0.9634097814559937,
        0.9622563123703003,
        0.9645774364471436,
        0.9546046257019043,
        0.9536156058311462,
        0.9598456025123596,
        0.9689037799835205,
        0.9809743762016296,
        1.0188528299331665,
        1.0020859241485596,
        0.9870774149894714,
        0.966444194316864,
        0.9159095883369446,
        0.9215870499610901,
        0.8286585211753845,
        0.7755947113037109,
        0.6327191591262817,
        0.5004584789276123,
        0.4087081849575043,
        0.2619631588459015,
        0.19877146184444427,
        0.20096619427204132,
        0.20225217938423157,
        0.20176759362220764,
        0.20227687060832977,
        0.20250815153121948,
        0.20329105854034424,
        0.2038937360048294,
        0.20484285056591034,
        0.2050817608833313,
        0.2056000977754593,
        0.20600973069667816,
        0.206308513879776,
        0.20687900483608246,
        0.20675723254680634,
        0.20697276294231415,
        0.20710669457912445,
        0.20720328390598297,
        0.20666366815567017,
        0.20662102103233337,
        0.207156240940094,
        0.20677049458026886,
        0.20674341917037964,
        0.20667414367198944,
        0.20680922269821167,
        0.20634940266609192,
        0.20625215768814087,
        0.20639373362064362,
        0.20667757093906403,
        0.20638015866279602,
        0.20618566870689392,
        0.20621420443058014,
        0.20579856634140015,
        0.2057184875011444,
        0.2056511640548706,
        0.20616549253463745,
        0.20605304837226868,
        0.20547108352184296,
        0.20567359030246735,
        0.20587459206581116,
        0.20575420558452606,
        0.20579378306865692,
        0.20571617782115936,
        0.20550097525119781,
        0.20579098165035248,
        0.20581892132759094,
        0.2058446705341339,
        0.20566441118717194,
        0.20575422048568726,
        0.20561088621616364,
        0.20583631098270416,
        0.20590361952781677,
        0.20586702227592468,
        0.20590801537036896,
        0.2058573216199875,
        0.20550954341888428,
        0.2058420479297638,
        0.2058565318584442,
        0.2060031145811081,
        0.20598341524600983,
        0.20618534088134766,
        0.2059863656759262,
        0.20593945682048798,
        0.20582933723926544,
        0.205670565366745,
        0.20601674914360046,
        0.2059231698513031,
        0.2060578465461731,
        0.20601573586463928,
        0.20598948001861572,
        0.2058708518743515,
        0.2053183764219284,
        0.20526756346225739,
        0.20469623804092407,
        0.20529252290725708,
        0.2056247591972351,
        0.20541070401668549,
        0.20864561200141907,
        0.20956528186798096,
        0.21106769144535065,
        0.20934684574604034,
        0.20954753458499908,
        0.20896856486797333,
        0.20893941819667816,
        0.20856353640556335,
        0.20837056636810303,
        0.20825907588005066,
        0.20880217850208282,
        0.2083434760570526,
        0.20897723734378815,
        0.20902755856513977,
        0.2093980312347412,
        0.20953801274299622,
        0.208976149559021,
        0.20935752987861633,
        0.2095026969909668,
        0.2092137485742569,
        0.2096129059791565,
        0.20881712436676025,
        0.20911036431789398,
        0.208945170044899,
        0.20889891684055328,
        0.20846889913082123,
        0.208686962723732,
        0.20867590606212616,
        0.20933014154434204,
        0.20977433025836945,
        0.21004030108451843,
        0.21020694077014923,
        0.21042746305465698,
        0.21098986268043518,
        0.21151971817016602,
        0.2119705229997635,
        0.2119244486093521,
        0.21156366169452667,
        0.21164707839488983,
        0.21164759993553162,
        0.21167781949043274,
        0.21147626638412476,
        0.211234912276268,
        0.21083812415599823,
        0.21100251376628876,
        0.21125327050685883,
        0.2110949456691742,
        0.21105585992336273,
        0.2116740196943283,
        0.2116450071334839,
        0.21197208762168884,
        0.21175459027290344,
        0.21200981736183167,
        0.2120986133813858,
        0.21215040981769562,
        0.21214430034160614,
        0.21188096702098846,
        0.2126482129096985,
        0.21300271153450012,
        0.2130538672208786,
        0.21252179145812988,
        0.21266092360019684,
        0.21257682144641876,
        0.21253597736358643,
        0.21248793601989746,
        0.2126900851726532,
        0.2122706174850464,
        0.21205423772335052,
        0.2136690467596054,
        0.21271921694278717,
        0.21376577019691467,
        0.21352757513523102,
        0.2141948938369751,
        0.21711046993732452,
        0.2118133306503296,
        0.20929542183876038,
        0.2104341983795166,
        0.2094700038433075,
        0.20892678201198578,
        0.20915798842906952,
        0.2099096179008484,
        0.20936495065689087,
        0.20913127064704895,
        0.20905239880084991,
        0.20943830907344818,
        0.2093713879585266,
        0.2093866765499115,
        0.20876826345920563,
        0.2088274210691452,
        0.20884066820144653,
        0.20883634686470032,
        0.20893137156963348,
        0.20884402096271515,
        0.20913636684417725,
        0.20879635214805603,
        0.2089838981628418,
        0.20917148888111115,
        0.2091670036315918,
        0.20885975658893585,
        0.2088819295167923,
        0.20886337757110596,
        0.20889075100421906,
        0.20891012251377106,
        0.2087518572807312,
        0.2090184986591339,
        0.20892192423343658,
        0.20884257555007935,
        0.2085920125246048,
        0.2090178281068802,
        0.20891721546649933,
        0.20895622670650482,
        0.20879417657852173,
        0.20867879688739777,
        0.20867303013801575,
        0.20883849263191223,
        0.20877324044704437,
        0.20871670544147491,
        0.20899860560894012,
        0.2092479020357132,
        0.20894527435302734,
        0.2089659571647644,
        0.20874056220054626,
        0.20864607393741608,
        0.20886953175067902,
        0.2088644951581955,
        0.2093501091003418,
        0.20942936837673187,
        0.20896385610103607,
        0.2247425764799118,
        0.2213570773601532,
        0.300927072763443,
        0.3791123032569885,
        0.4616832733154297,
        0.4840262234210968,
        0.5712253451347351,
        0.599898099899292,
        0.6641960740089417,
        0.6924852728843689,
        0.7436119318008423,
        0.7640302777290344,
        0.7994977831840515,
        0.8082451224327087,
        0.8331969380378723,
        0.8467849493026733,
        0.8624126315116882,
        0.888877809047699,
        0.9124477505683899,
        0.9264588952064514,
        0.9356911778450012,
        0.9440598487854004,
        0.9800819754600525,
        1.0003116130828857,
        1.0251706838607788,
        1.03590989112854,
        1.0589206218719482,
        1.055113673210144,
        1.074510097503662,
        1.1081607341766357,
        1.1183209419250488,
        1.1264699697494507,
        1.1443716287612915,
        1.1503766775131226,
        1.1617141962051392,
        1.1570837497711182,
        1.1649783849716187,
        1.17177414894104,
        1.1903650760650635,
        1.2954543828964233,
        1.3229689598083496,
        1.22085440158844,
        1.2442620992660522,
        1.3264141082763672,
        1.3888843059539795,
        1.3689337968826294,
        1.349957823753357,
        1.315486192703247,
        1.1840537786483765,
        1.1714431047439575,
        1.1201756000518799,
        1.1232129335403442,
        1.144892930984497,
        1.1214051246643066,
        1.2973047494888306,
        1.1189475059509277,
        1.0550858974456787,
        1.0088353157043457,
        0.8769146800041199,
        0.7818810343742371,
        0.6700890064239502,
        0.6338112354278564,
        0.5149596333503723,
        0.47614338994026184,
        0.3861125707626343,
        0.3574143648147583,
        0.2866710424423218,
        0.26633474230766296,
        0.21151916682720184,
        0.20302292704582214,
        0.20415034890174866,
        0.20464013516902924,
        0.20556937158107758,
        0.2059539556503296,
        0.20672310888767242,
        0.20721103250980377,
        0.2075520008802414,
        0.2077939212322235,
        0.20816336572170258,
        0.20824429392814636,
        0.2086998075246811,
        0.20871023833751678,
        0.20934973657131195,
        0.20931296050548553,
        0.20907646417617798,
        0.20898066461086273,
        0.2089105248451233,
        0.20903204381465912,
        0.2092444747686386,
        0.2090316116809845,
        0.2088058888912201,
        0.20875917375087738,
        0.20859847962856293,
        0.20869304239749908,
        0.20885205268859863,
        0.20906299352645874,
        0.20894545316696167,
        0.2088971883058548,
        0.2087211161851883,
        0.20876982808113098,
        0.20890848338603973,
        0.20884062349796295,
        0.20866307616233826,
        0.20886385440826416,
        0.20883281528949738,
        0.20870716869831085,
        0.2086796760559082,
        0.20881347358226776,
        0.20907460153102875,
        0.20889322459697723,
        0.2089451551437378,
        0.20890584588050842,
        0.20882397890090942,
        0.20906347036361694,
        0.20886307954788208,
        0.20928604900836945,
        0.2091417908668518,
        0.20907361805438995,
        0.2090459018945694,
        0.2088516801595688,
        0.20831570029258728,
        0.2085983157157898,
        0.20828765630722046,
        0.20718632638454437,
        0.2056713104248047,
        0.20566833019256592,
        0.205608531832695,
        0.20661661028862,
        0.2098703235387802,
        0.21332411468029022,
        0.21253874897956848,
        0.21324953436851501,
        0.21483607590198517,
        0.2148577719926834,
        0.21551494300365448,
        0.2150086760520935,
        0.21587114036083221,
        0.2162894755601883,
        0.21628639101982117,
        0.21585583686828613,
        0.21629370748996735,
        0.2160966843366623,
        0.21610945463180542,
        0.2158237099647522,
        0.21570783853530884,
        0.21641413867473602,
        0.21615247428417206,
        0.2160806804895401,
        0.21587128937244415,
        0.21607820689678192,
        0.2162916511297226,
        0.21636150777339935,
        0.21630257368087769,
        0.21657128632068634,
        0.21704722940921783,
        0.2169153243303299,
        0.21693488955497742,
        0.21670857071876526,
        0.21680700778961182,
        0.2167477160692215,
        0.21654272079467773,
        0.21654663980007172,
        0.21671144664287567,
        0.21644555032253265,
        0.21646730601787567,
        0.21629758179187775,
        0.21676258742809296,
        0.2169756442308426,
        0.21769286692142487,
        0.21705763041973114,
        0.21680720150470734,
        0.2171485871076584,
        0.21694302558898926,
        0.21656274795532227,
        0.21672898530960083,
        0.21686062216758728,
        0.21695296466350555,
        0.21743448078632355,
        0.21743632853031158,
        0.21783727407455444,
        0.21659345924854279,
        0.21747910976409912,
        0.21786810457706451,
        0.2183162122964859,
        0.21782906353473663,
        0.21815229952335358,
        0.21808217465877533,
        0.21250998973846436,
        0.2134428173303604,
        0.2119113951921463,
        0.21366488933563232,
        0.21000151336193085,
        0.21112734079360962,
        0.20998921990394592,
        0.20925693213939667,
        0.20839011669158936,
        0.21011567115783691,
        0.21045711636543274,
        0.21012800931930542,
        0.20971940457820892,
        0.20871078968048096,
        0.20813487470149994,
        0.2085055261850357,
        0.20868156850337982,
        0.20902130007743835,
        0.2091476321220398,
        0.20839916169643402,
        0.20814338326454163,
        0.208039328455925,
        0.20869822800159454,
        0.20844760537147522,
        0.20836520195007324,
        0.2084875851869583,
        0.20836138725280762,
        0.20854733884334564,
        0.2083517163991928,
        0.20943491160869598,
        0.20945268869400024,
        0.21391955018043518,
        0.24073907732963562,
        0.27141743898391724,
        0.31560656428337097,
        0.3513721525669098,
        0.40833789110183716,
        0.4551505446434021,
        0.5308133363723755,
        0.5823822021484375,
        0.6209203600883484,
        0.663494348526001,
        0.6955516338348389,
        0.7182325720787048,
        0.7415978312492371,
        0.7583596706390381,
        0.771578848361969,
        0.7838708162307739,
        0.7923382520675659,
        0.7957218289375305,
        0.8024427890777588,
        0.8122103810310364,
        0.8213849067687988,
        0.8468434810638428,
        0.8562305569648743,
        0.8655564785003662,
        0.8772738575935364,
        0.8860834240913391,
        0.8987131714820862,
        0.9149053692817688,
        0.9328047633171082,
        0.9521000981330872,
        0.9739225506782532,
        0.9902828335762024,
        0.9923325777053833,
        1.0038573741912842,
        1.0150136947631836,
        1.0445599555969238,
        1.0500205755233765,
        1.0589994192123413,
        1.0594568252563477,
        1.0727717876434326,
        1.0752898454666138,
        1.0700263977050781,
        1.0654784440994263,
        1.077439308166504,
        1.0735881328582764,
        1.0857973098754883,
        1.0914998054504395,
        1.0794939994812012,
        1.0741130113601685,
        1.0643994808197021,
        1.0568797588348389,
        1.0629878044128418,
        1.057871699333191,
        1.05209481716156,
        1.04039466381073,
        1.0272008180618286,
        1.02120840549469,
        0.9885396957397461,
        0.9594434499740601,
        0.9216752052307129,
        0.8727110028266907,
        0.8191289305686951,
        0.7298716902732849,
        0.5898046493530273,
        0.45083293318748474,
        0.34541448950767517,
        0.21794983744621277,
        0.20056591928005219,
        0.2015642523765564,
        0.20230603218078613,
        0.20344801247119904,
        0.2032897025346756,
        0.2037840187549591,
        0.20420503616333008,
        0.20482882857322693,
        0.20593613386154175,
        0.20650674402713776,
        0.20670628547668457,
        0.20724615454673767,
        0.20737510919570923,
        0.20783759653568268,
        0.20876173675060272,
        0.20929425954818726,
        0.20852641761302948,
        0.2082625776529312,
        0.20934022963047028,
        0.20962893962860107,
        0.2083105593919754,
        0.20820723474025726,
        0.2083059847354889,
        0.20837759971618652,
        0.20796027779579163,
        0.20836351811885834,
        0.20823031663894653,
        0.2080296128988266,
        0.2084985077381134,
        0.2082965224981308,
        0.2083810269832611,
        0.20832669734954834,
        0.20888040959835052,
        0.20850376784801483,
        0.2085573822259903,
        0.20872347056865692,
        0.20851783454418182,
        0.20838072896003723,
        0.208892822265625,
        0.20863428711891174,
        0.20850996673107147,
        0.20849962532520294,
        0.20871809124946594,
        0.20878514647483826,
        0.2093665599822998,
        0.2094450443983078,
        0.2085343599319458,
        0.20846572518348694,
        0.2092498242855072,
        0.20948855578899384,
        0.20833507180213928,
        0.20856481790542603,
        0.2082168161869049,
        0.20821844041347504,
        0.2089230865240097,
        0.20936763286590576,
        0.20915311574935913,
        0.20881611108779907,
        0.20861300826072693,
        0.2082100510597229,
        0.20999766886234283,
        0.21249370276927948,
        0.21232108771800995,
        0.2162688970565796,
        0.21586740016937256,
        0.21736130118370056,
        0.21782884001731873,
        0.21655738353729248,
        0.2169118970632553,
        0.21626518666744232,
        0.21604833006858826,
        0.2169865369796753,
        0.21703732013702393,
        0.21668139100074768,
        0.21700415015220642,
        0.21690458059310913,
        0.2169724851846695,
        0.21710842847824097,
        0.2170877307653427,
        0.2170572578907013,
        0.2172621488571167,
        0.2171403467655182,
        0.21725504100322723,
        0.21677850186824799,
        0.2167457491159439,
        0.2165280282497406,
        0.2167690247297287,
        0.21645031869411469,
        0.21655599772930145,
        0.21636751294136047,
        0.21642948687076569,
        0.21649260818958282,
        0.2159872204065323,
        0.2162408083677292,
        0.21655724942684174,
        0.21595636010169983,
        0.21583136916160583,
        0.215940922498703,
        0.2151544839143753,
        0.21538151800632477,
        0.21531111001968384,
        0.21576008200645447,
        0.21578532457351685,
        0.21529291570186615,
        0.21479660272598267,
        0.215040385723114,
        0.21515220403671265,
        0.21600353717803955,
        0.21698465943336487,
        0.21812637150287628,
        0.21650582551956177,
        0.21723215281963348,
        0.21832504868507385,
        0.21655115485191345,
        0.21450138092041016,
        0.21297518908977509,
        0.21344269812107086,
        0.2057236284017563,
        0.2066294252872467,
        0.20844756066799164,
        0.20960929989814758,
        0.20967569947242737,
        0.20897981524467468,
        0.2093476504087448,
        0.20932680368423462,
        0.2092353254556656,
        0.20960859954357147,
        0.20980310440063477,
        0.20927225053310394,
        0.20917822420597076,
        0.208921417593956,
        0.20864692330360413,
        0.20889653265476227,
        0.20899714529514313,
        0.2088017761707306,
        0.20895735919475555,
        0.20904017984867096,
        0.2089226096868515,
        0.20864906907081604,
        0.20905067026615143,
        0.20882831513881683,
        0.20889058709144592,
        0.20883941650390625,
        0.20874470472335815,
        0.2087041139602661,
        0.20870672166347504,
        0.20888957381248474,
        0.20884504914283752,
        0.2087717056274414,
        0.20884309709072113,
        0.20884113013744354,
        0.20861448347568512,
        0.2088983803987503,
        0.2087906450033188,
        0.20874521136283875,
        0.20882055163383484,
        0.2089366912841797,
        0.20867489278316498,
        0.20875510573387146,
        0.20893435180187225,
        0.20893168449401855,
        0.2088235467672348,
        0.2086874395608902,
        0.20869596302509308,
        0.20853875577449799,
        0.20886638760566711,
        0.24931032955646515,
        0.2992364168167114,
        0.3543037474155426,
        0.4989311695098877,
        0.5858179330825806,
        0.7039145231246948,
        0.7844871878623962,
        0.9039373993873596,
        0.9952423572540283,
        1.0472546815872192,
        1.0604948997497559,
        1.0595674514770508,
        1.0407346487045288,
        1.039383053779602,
        1.0334646701812744,
        1.0379937887191772,
        1.0760332345962524,
        1.1239662170410156,
        1.2777667045593262,
        1.246691346168518,
        1.2516350746154785,
        1.2111151218414307,
        1.252549648284912,
        1.2348847389221191,
        1.2962392568588257,
        1.1539963483810425,
        1.133241057395935,
        1.1504509449005127,
        1.248712420463562,
        1.2584651708602905,
        1.2654637098312378,
        1.160900354385376,
        1.1438606977462769,
        1.172481656074524,
        1.1618165969848633,
        1.233554482460022,
        1.1367573738098145,
        1.1375391483306885,
        1.1333062648773193,
        1.1354280710220337,
        1.198980689048767,
        1.14090096950531,
        1.1212599277496338,
        1.108180284500122,
        1.0927318334579468,
        1.0889495611190796,
        1.1093840599060059,
        1.1398619413375854,
        1.1806108951568604,
        1.2172369956970215,
        1.1023467779159546,
        1.2888063192367554,
        1.0756733417510986,
        1.0028051137924194,
        0.9247973561286926,
        0.7943774461746216,
        0.645586371421814,
        0.4820190370082855,
        0.26209303736686707,
        0.20621849596500397,
        0.20073838531970978,
        0.2011239379644394,
        0.20232908427715302,
        0.203084796667099,
        0.2037106603384018,
        0.20404097437858582,
        0.20383021235466003,
        0.20513027906417847,
        0.2057662457227707,
        0.2068135291337967,
        0.20690765976905823,
        0.2077581137418747,
        0.20749720931053162,
        0.2081449329853058,
        0.20884403586387634,
        0.20877651870250702,
        0.20872382819652557,
        0.20896397531032562,
        0.20889772474765778,
        0.209062397480011,
        0.2089838683605194,
        0.2086583822965622,
        0.20889416337013245,
        0.20890718698501587,
        0.20874521136283875,
        0.20878276228904724,
        0.20872826874256134,
        0.20858868956565857,
        0.20846232771873474,
        0.20857097208499908,
        0.20854340493679047,
        0.20887181162834167,
        0.20875200629234314,
        0.20875993371009827,
        0.2091539353132248,
        0.20894470810890198,
        0.20882323384284973,
        0.20889753103256226,
        0.20878198742866516,
        0.2222587913274765,
        0.22716650366783142,
        0.2164117693901062,
        0.20897072553634644,
        0.2135610580444336,
        0.23174403607845306,
        0.23453359305858612,
        0.23063725233078003,
        0.2390327751636505,
        0.24069182574748993,
        0.25317198038101196,
        0.2582032084465027,
        0.2633898854255676,
        0.2626751959323883,
        0.26189687848091125,
        0.2658923864364624,
        0.25547099113464355,
        0.25406792759895325,
        0.25461527705192566,
        0.2549125850200653,
        0.2554513216018677,
        0.25726109743118286,
        0.25361737608909607,
        0.25338754057884216,
        0.2508726119995117,
        0.25224122405052185,
        0.24895361065864563,
        0.24953821301460266,
        0.246864452958107,
        0.24652491509914398,
        0.24482934176921844,
        0.2458011358976364,
        0.24506855010986328,
        0.24551579356193542,
        0.24432587623596191,
        0.24423696100711823,
        0.24376237392425537,
        0.2438630759716034,
        0.2435549944639206,
        0.24362602829933167,
        0.24325720965862274,
        0.24375541508197784,
        0.24318991601467133,
        0.24348010122776031,
        0.24342113733291626,
        0.24341662228107452,
        0.24335193634033203,
        0.2433599978685379,
        0.24377872049808502,
        0.24349287152290344,
        0.24366746842861176,
        0.24360106885433197,
        0.243889719247818,
        0.24372680485248566,
        0.24418306350708008,
        0.24430163204669952,
        0.2439020425081253,
        0.243954136967659,
        0.244081050157547,
        0.24450542032718658,
        0.24572744965553284,
        0.24491925537586212,
        0.24717389047145844,
        0.24752427637577057,
        0.2491448074579239,
        0.249505415558815,
        0.2537504732608795,
        0.25518128275871277,
        0.2584649324417114,
        0.26084062457084656,
        0.2640291452407837,
        0.2642655670642853,
        0.26514390110969543,
        0.2629139721393585,
        0.25947558879852295,
        0.26176536083221436,
        0.26952308416366577,
        0.2673512399196625,
        0.2711445987224579,
        0.26962530612945557,
        0.27114418148994446,
        0.2630454897880554,
        0.2567397952079773,
        0.24740804731845856,
        0.24411454796791077,
        0.24117735028266907,
        0.22798213362693787,
        0.22467610239982605,
        0.23146730661392212,
        0.23851220309734344,
        0.22316977381706238,
        0.21443462371826172,
        0.20858681201934814,
        0.21374259889125824,
        0.219271719455719,
        0.21673545241355896,
        0.20945142209529877,
        0.20907938480377197,
        0.20894737541675568,
        0.2090112864971161,
        0.20912893116474152,
        0.20900313556194305,
        0.2121056765317917,
        0.24337291717529297,
        0.33390098810195923,
        0.39473190903663635,
        0.4916761815547943,
        0.5403181314468384,
        0.6506372094154358,
        0.7063997387886047,
        0.8204327821731567,
        0.8602696657180786,
        0.9218384623527527,
        0.9411746263504028,
        0.9756739735603333,
        0.9912344813346863,
        1.0082277059555054,
        1.0228067636489868,
        1.0208317041397095,
        1.0448647737503052,
        1.0539699792861938,
        1.0914822816848755,
        1.078296184539795,
        1.0733197927474976,
        1.0826807022094727,
        1.0732325315475464,
        1.118645429611206,
        1.1313937902450562,
        1.1519280672073364,
        1.1610273122787476,
        1.1356347799301147,
        1.0981860160827637,
        1.0886569023132324,
        1.1228746175765991,
        1.1042296886444092,
        1.1256591081619263,
        1.155085563659668,
        1.1813316345214844,
        1.1968525648117065,
        1.123848795890808,
        1.167661428451538,
        1.2203872203826904,
        1.1623784303665161,
        1.183990240097046,
        1.2482020854949951,
        1.1048648357391357,
        0.9262306094169617,
        0.8041009306907654,
        0.5656677484512329,
        0.40712493658065796,
        0.1978430598974228,
        0.1991373747587204,
        0.20083138346672058,
        0.20113816857337952,
        0.20246098935604095,
        0.20310145616531372,
        0.20338986814022064,
        0.20432992279529572,
        0.2043880671262741,
        0.20525775849819183,
        0.2058364748954773,
        0.206602543592453,
        0.2070254683494568,
        0.2078334093093872,
        0.20830270648002625,
        0.2085990607738495,
        0.2084941267967224,
        0.2091444879770279,
        0.20935632288455963,
        0.20926734805107117,
        0.2089695930480957,
        0.20895537734031677,
        0.20910108089447021,
        0.20894135534763336,
        0.20910008251667023,
        0.2093285471200943,
        0.20914413034915924,
        0.20884829759597778,
        0.20901069045066833,
        0.20889823138713837,
        0.20902778208255768,
        0.20909751951694489,
        0.2093675434589386,
        0.20867300033569336,
        0.20900389552116394,
        0.20886564254760742,
        0.20905230939388275,
        0.2090516835451126,
        0.20892995595932007,
        0.20896746218204498,
        0.2091907560825348,
        0.20908579230308533,
        0.2089904099702835,
        0.2088761180639267,
        0.20896321535110474,
        0.20892998576164246,
        0.2088451236486435,
        0.20905572175979614,
        0.20984236896038055,
        0.2111879587173462,
        0.22275285422801971,
        0.22469112277030945,
        0.23842458426952362,
        0.24638588726520538,
        0.2579644024372101,
        0.2630268931388855,
        0.26458263397216797,
        0.26811257004737854,
        0.2635512351989746,
        0.26377007365226746,
        0.2655690610408783,
        0.2649187445640564,
        0.264039009809494,
        0.2641323506832123,
        0.26603662967681885,
        0.26771315932273865,
        0.26509684324264526,
        0.2653428018093109,
        0.26057058572769165,
        0.26164257526397705,
        0.2571175694465637,
        0.2571096420288086,
        0.2527035176753998,
        0.25331753492355347,
        0.25013259053230286,
        0.25094732642173767,
        0.24860961735248566,
        0.2490229457616806,
        0.24767740070819855,
        0.247051402926445,
        0.24605096876621246,
        0.24631930887699127,
        0.24525944888591766,
        0.2452506422996521,
        0.24480050802230835,
        0.24477747082710266,
        0.2441416233778,
        0.24387206137180328,
        0.2432572990655899,
        0.24316158890724182,
        0.24305394291877747,
        0.24280540645122528,
        0.24284929037094116,
        0.24227537214756012,
        0.24190159142017365,
        0.2418873906135559,
        0.24196764826774597,
        0.24242453277111053,
        0.24199450016021729,
        0.24194738268852234,
        0.24184909462928772,
        0.2416134923696518,
        0.2420937865972519,
        0.24214737117290497,
        0.24182085692882538,
        0.24158833920955658,
        0.24283495545387268,
        0.24162477254867554,
        0.24257229268550873,
        0.24228157103061676,
        0.24343593418598175,
        0.2440597414970398,
        0.2455592304468155,
        0.24632903933525085,
        0.24338679015636444,
        0.24575647711753845,
        0.2452496439218521,
        0.2459130883216858,
        0.24723488092422485,
        0.24698665738105774,
        0.24673646688461304,
        0.24449120461940765,
        0.2457769364118576,
        0.24204787611961365,
        0.2481398582458496,
        0.2474881261587143,
        0.2531033158302307,
        0.24195341765880585,
        0.24248164892196655,
        0.24228262901306152,
        0.24724942445755005,
        0.24797044694423676,
        0.2525674104690552,
        0.2568357288837433,
        0.2588272988796234,
        0.26346179842948914,
        0.26541730761528015,
        0.26565003395080566,
        0.2720891535282135,
        0.2772826552391052,
        0.28588372468948364,
        0.29155194759368896,
        0.2951158285140991,
        0.301785945892334,
        0.3091759979724884,
        0.3225804567337036,
        0.31454190611839294,
        0.3193019926548004,
        0.32613372802734375,
        0.3255389332771301,
        0.3310210704803467,
        0.3407934606075287,
        0.3430306911468506,
        0.3431989848613739,
        0.34776464104652405,
        0.35144922137260437,
        0.3576580286026001,
        0.36148110032081604,
        0.3684370815753937,
        0.373733788728714,
        0.37239453196525574,
        0.3840092420578003,
        0.39528602361679077,
        0.3989974558353424,
        0.41333967447280884,
        0.4168122410774231,
        0.4315890371799469,
        0.4426116943359375,
        0.42946672439575195,
        0.41503074765205383,
        0.39223992824554443,
        0.36346566677093506,
        0.3563098907470703,
        0.35118037462234497,
        0.3329315483570099,
        0.3239791989326477,
        0.31393536925315857,
        0.3043576180934906,
        0.29707592725753784,
        0.2829877734184265,
        0.2736682891845703,
        0.26197052001953125,
        0.24299946427345276,
        0.2295210212469101,
        0.22917959094047546,
        0.23168416321277618,
        0.24260815978050232,
        0.2761618494987488,
        0.3206633925437927,
        0.4360690712928772,
        0.5160679221153259,
        0.6429678201675415,
        0.7224798202514648,
        0.8090623617172241,
        0.8837785720825195,
        0.949674665927887,
        0.9942857623100281,
        1.0485910177230835,
        1.0795776844024658,
        1.1167181730270386,
        1.1741677522659302,
        1.2330389022827148,
        1.2717074155807495,
        1.2552827596664429,
        1.331611156463623,
        1.3392996788024902,
        1.2408641576766968,
        1.2441542148590088,
        1.429152488708496,
        1.4300901889801025,
        1.4002882242202759,
        1.5319969654083252,
        1.46575129032135,
        1.353023886680603,
        1.3444061279296875,
        1.465907335281372,
        1.4780874252319336,
        1.4690501689910889,
        1.4777649641036987,
        1.4247552156448364,
        1.435355305671692,
        1.391643762588501,
        1.3833850622177124,
        1.4299142360687256,
        1.4267609119415283,
        1.4179890155792236,
        1.4403624534606934,
        1.493615746498108,
        1.4772003889083862,
        1.4562947750091553,
        1.2473280429840088,
        1.2953368425369263,
        1.2090009450912476,
        1.0368067026138306,
        0.9479770660400391,
        0.8425386548042297,
        0.6560960412025452,
        0.5110782384872437,
        0.31705373525619507,
        0.20315156877040863,
        0.2005518525838852,
        0.20083539187908173,
        0.20102274417877197,
        0.201483815908432,
        0.20282261073589325,
        0.2032080441713333,
        0.20376993715763092,
        0.20403486490249634,
        0.2044055014848709,
        0.2050095498561859,
        0.20560160279273987,
        0.2070159912109375,
        0.20749089121818542,
        0.20792485773563385,
        0.2082236111164093,
        0.2090318351984024,
        0.20956632494926453,
        0.20939050614833832,
        0.20892390608787537,
        0.2093878835439682,
        0.20920129120349884,
        0.20900225639343262,
        0.20890481770038605,
        0.209029883146286,
        0.2093316912651062,
        0.20892487466335297,
        0.20887857675552368,
        0.2089354544878006,
        0.2091076672077179,
        0.20926044881343842,
        0.21022959053516388,
        0.2180003672838211,
        0.2465035617351532,
        0.3061118721961975,
        0.3304482102394104,
        0.32758766412734985,
        0.3354496955871582,
        0.34409844875335693,
        0.3599897623062134,
        0.36334672570228577,
        0.3629963994026184,
        0.36161088943481445,
        0.37436315417289734,
        0.34686094522476196,
        0.33186328411102295,
        0.32089099287986755,
        0.31681743264198303,
        0.30565473437309265,
        0.3012283444404602,
        0.296452134847641,
        0.2923431694507599,
        0.2847799062728882,
        0.279776930809021,
        0.27502578496932983,
        0.2716889977455139,
        0.26640263199806213,
        0.26227790117263794,
        0.25976669788360596,
        0.25518158078193665,
        0.2510225176811218,
        0.24559473991394043,
        0.2415897101163864,
        0.23765499889850616,
        0.23214757442474365,
        0.22715385258197784,
        0.22437824308872223,
        0.22111722826957703,
        0.21907934546470642,
        0.21643847227096558,
        0.21463215351104736,
        0.2130836397409439,
        0.21226809918880463,
        0.21149367094039917,
        0.21100887656211853,
        0.21003465354442596,
        0.20977430045604706,
        0.20912140607833862,
        0.20844389498233795,
        0.2079796940088272,
        0.20822037756443024,
        0.20710651576519012,
        0.20720677077770233,
        0.20704004168510437,
        0.2064426690340042,
        0.2061716467142105,
        0.20603784918785095,
        0.2063233107328415,
        0.20594295859336853,
        0.20599979162216187,
        0.20583856105804443,
        0.20607846975326538,
        0.20553232729434967,
        0.20551368594169617,
        0.20563751459121704,
        0.2059929072856903,
        0.20533978939056396,
        0.2053002268075943,
        0.20555263757705688,
        0.20563210546970367,
        0.2054515779018402,
        0.20516511797904968,
        0.2052183896303177,
        0.2053261697292328,
        0.20524100959300995,
        0.20522944629192352,
        0.20537041127681732,
        0.20519743859767914,
        0.20537692308425903,
        0.20551371574401855,
        0.20494256913661957,
        0.2054266780614853,
        0.20533934235572815,
        0.20495545864105225,
        0.2046520859003067,
        0.20513509213924408,
        0.20487813651561737,
        0.20498673617839813,
        0.20479631423950195,
        0.2056472897529602,
        0.20584748685359955,
        0.20509164035320282,
        0.2050231695175171,
        0.2053532600402832,
        0.2051476240158081,
        0.20485596358776093,
        0.20506316423416138,
        0.20516735315322876,
        0.2052472084760666,
        0.20484112203121185,
        0.20487403869628906,
        0.20525087416172028,
        0.20524868369102478,
        0.20530344545841217,
        0.20489749312400818,
        0.20529675483703613,
        0.2056175023317337,
        0.20573841035366058,
        0.205447718501091,
        0.20582909882068634,
        0.2063160091638565,
        0.20622749626636505,
        0.20630846917629242,
        0.2065536230802536,
        0.20633646845817566,
        0.20619207620620728,
        0.20609138906002045,
        0.2064189463853836,
        0.20642872154712677,
        0.2061520367860794,
        0.20664174854755402,
        0.20690514147281647,
        0.2068558633327484,
        0.2069362998008728,
        0.20686204731464386,
        0.2071387618780136,
        0.20711572468280792,
        0.20765221118927002,
        0.20870542526245117,
        0.20989613234996796,
        0.21064338088035583,
        0.21180549263954163,
        0.21316072344779968,
        0.2143036425113678,
        0.2157711386680603,
        0.21701262891292572,
        0.21892854571342468,
        0.22110985219478607,
        0.22356906533241272,
        0.22586745023727417,
        0.22910431027412415,
        0.2322857677936554,
        0.2348751276731491,
        0.2389015555381775,
        0.24356681108474731,
        0.24687905609607697,
        0.2498638927936554,
        0.25378626585006714,
        0.25839975476264954,
        0.2630825638771057,
        0.2672804892063141,
        0.2729879915714264,
        0.2784745693206787,
        0.28552937507629395,
        0.2909528315067291,
        0.29549118876457214,
        0.29911133646965027,
        0.30450230836868286,
        0.31316450238227844,
        0.3274829089641571,
        0.3271593451499939,
        0.3523469567298889,
        0.3581765592098236,
        0.3583773076534271,
        0.3512987494468689,
        0.3381097912788391,
        0.32876983284950256,
        0.3175164461135864,
        0.3136824369430542,
        0.31280404329299927,
        0.326294869184494,
        0.33049944043159485,
        0.3651041090488434,
        0.4000330865383148,
        0.4633983075618744,
        0.5060884356498718,
        0.5790324211120605,
        0.6347946524620056,
        0.7177145481109619,
        0.8001575469970703,
        0.8618215322494507,
        0.9044501185417175,
        0.9600892066955566,
        0.9860900044441223,
        1.0143083333969116,
        1.0285207033157349,
        1.0314096212387085,
        1.0407346487045288,
        1.0755327939987183,
        1.1342113018035889,
        1.1460802555084229,
        1.2140719890594482,
        1.102717399597168,
        1.095655918121338,
        1.2992318868637085,
        1.1907916069030762,
        1.2601659297943115,
        1.1888998746871948,
        1.1924158334732056,
        1.27103590965271,
        1.296714425086975,
        1.2631992101669312,
        1.2454838752746582,
        1.2185450792312622,
        1.2381573915481567,
        1.264683485031128,
        1.2841925621032715,
        1.2700257301330566,
        1.2259247303009033,
        1.2455170154571533,
        1.3103358745574951,
        1.3050411939620972,
        1.2488765716552734,
        1.0751843452453613,
        1.0759516954421997,
        1.0405751466751099,
        0.9222806692123413,
        0.8787820339202881,
        0.689920961856842,
        0.5999258160591125,
        0.39515483379364014,
        0.3191133141517639,
        0.20066432654857635,
        0.20129232108592987,
        0.2029738426208496,
        0.2031051367521286,
        0.2037608027458191,
        0.2039303481578827,
        0.2042815387248993,
        0.20518411695957184,
        0.20589204132556915,
        0.20662322640419006,
        0.20725101232528687,
        0.2078993320465088,
        0.20774921774864197,
        0.20836487412452698,
        0.20845338702201843,
        0.20862025022506714,
        0.20885124802589417,
        0.20914599299430847,
        0.2091560810804367,
        0.20898672938346863,
        0.20917020738124847,
        0.20907485485076904,
        0.20897158980369568,
        0.20915143191814423,
        0.20889969170093536,
        0.2091326117515564,
        0.2090741991996765,
        0.20880213379859924,
        0.208809956908226,
        0.20871995389461517,
        0.20897851884365082,
        0.20882026851177216,
        0.20866438746452332,
        0.20892071723937988,
        0.20864316821098328,
        0.20871852338314056,
        0.2088509351015091,
        0.2089633047580719,
        0.20901627838611603,
        0.2085435688495636,
        0.20845916867256165,
        0.20865806937217712,
        0.20856687426567078,
        0.20898570120334625,
        0.20875996351242065,
        0.20894590020179749,
        0.20871630311012268,
        0.20850354433059692,
        0.20874328911304474,
        0.20887134969234467,
        0.20880329608917236,
        0.20866625010967255,
        0.20857396721839905,
        0.20890358090400696,
        0.2088364064693451,
        0.20879043638706207,
        0.208784282207489,
        0.2085723876953125,
        0.20859558880329132,
        0.20864689350128174,
        0.2086084932088852,
        0.2084890902042389,
        0.2081928849220276,
        0.20871475338935852,
        0.20849715173244476,
        0.20849944651126862,
        0.20830848813056946,
        0.2083132416009903,
        0.20852704346179962,
        0.20823457837104797,
        0.20913395285606384,
        0.2277946025133133,
        0.2389778345823288,
        0.26916295289993286,
        0.30532005429267883,
        0.2942604422569275,
        0.3252240717411041,
        0.34886908531188965,
        0.36618390679359436,
        0.3869909644126892,
        0.4063841700553894,
        0.4225561320781708,
        0.4350188672542572,
        0.40417996048927307,
        0.3969101905822754,
        0.38134002685546875,
        0.3675681948661804,
        0.3584555685520172,
        0.34365513920783997,
        0.3349660336971283,
        0.32474949955940247,
        0.31847667694091797,
        0.30934056639671326,
        0.30497878789901733,
        0.29716888070106506,
        0.2932230234146118,
        0.2853303551673889,
        0.2811587154865265,
        0.2734174132347107,
        0.26962700486183167,
        0.26202842593193054,
        0.25753864645957947,
        0.24946627020835876,
        0.24536487460136414,
        0.23930318653583527,
        0.23651373386383057,
        0.2320028841495514,
        0.22986657917499542,
        0.22592034935951233,
        0.22428296506404877,
        0.22110268473625183,
        0.220468208193779,
        0.21735025942325592,
        0.21658897399902344,
        0.21489861607551575,
        0.21454347670078278,
        0.21271926164627075,
        0.21158714592456818,
        0.20931902527809143,
        0.2085382044315338,
        0.20726794004440308,
        0.20704121887683868,
        0.20592178404331207,
        0.2061024159193039,
        0.2058653086423874,
        0.20595140755176544,
        0.20605671405792236,
        0.20622707903385162,
        0.2056775987148285,
        0.20553788542747498,
        0.20520171523094177,
        0.20522256195545197,
        0.20514258742332458,
        0.20475590229034424,
        0.20504942536354065,
        0.20471352338790894,
        0.20469745993614197,
        0.20477230846881866,
        0.2047424018383026,
        0.20474596321582794,
        0.2045663446187973,
        0.20488828420639038,
        0.2047683298587799,
        0.20482970774173737,
        0.2051164209842682,
        0.20502729713916779,
        0.20517125725746155,
        0.20495052635669708,
        0.20492644608020782,
        0.20511110126972198,
        0.20511142909526825,
        0.2050122171640396,
        0.20520979166030884,
        0.20520251989364624,
        0.20506887137889862,
        0.20526476204395294,
        0.20530767738819122,
        0.20490044355392456,
        0.20492775738239288,
        0.20523013174533844,
        0.20497091114521027,
        0.20495888590812683,
        0.20504561066627502,
        0.20528580248355865,
        0.20521703362464905,
        0.20526620745658875,
        0.20521247386932373,
        0.20535995066165924,
        0.2054082155227661,
        0.20514747500419617,
        0.20544540882110596,
        0.2052042931318283,
        0.20519785583019257,
        0.20529429614543915,
        0.2053905576467514,
        0.2054780274629593,
        0.2053905725479126,
        0.2053459882736206,
        0.20529404282569885,
        0.20542027056217194,
        0.20573970675468445,
        0.20611752569675446,
        0.20619341731071472,
        0.20613017678260803,
        0.20601274073123932,
        0.20623840391635895,
        0.20628154277801514,
        0.2060275673866272,
        0.20622046291828156,
        0.2066374123096466,
        0.20643100142478943,
        0.20611239969730377,
        0.2061803787946701,
        0.206506609916687,
        0.2066514492034912,
        0.2064449042081833,
        0.20610278844833374,
        0.20531412959098816,
        0.205488920211792,
        0.20571628212928772,
        0.20557205379009247,
        0.2056141197681427,
        0.2059318721294403,
        0.20594735443592072,
        0.20691272616386414,
        0.20762045681476593,
        0.20787113904953003,
        0.20862330496311188,
        0.20962421596050262,
        0.20974072813987732,
        0.2116156667470932,
        0.21266426146030426,
        0.21545197069644928,
        0.21694441139698029,
        0.2185281664133072,
        0.22182899713516235,
        0.2253802865743637,
        0.22923670709133148,
        0.23312528431415558,
        0.23470711708068848,
        0.23706188797950745,
        0.24238045513629913,
        0.2481573522090912,
        0.245561420917511,
        0.2554348409175873,
        0.2688191533088684,
        0.2575226128101349,
        0.2724483907222748,
        0.287738174200058,
        0.2839333415031433,
        0.3037353754043579,
        0.3041081130504608,
        0.3083273470401764,
        0.3060102164745331,
        0.31183263659477234,
        0.306454598903656,
        0.30993911623954773,
        0.30553293228149414,
        0.30878746509552,
        0.30076292157173157,
        0.3033580780029297,
        0.28763502836227417,
        0.2768618166446686,
        0.23221297562122345,
        0.21768663823604584,
        0.21717408299446106,
        0.21734625101089478,
        0.21426688134670258,
        0.2102859765291214,
        0.2090444415807724,
        0.20928847789764404,
        0.20932166278362274,
        0.20939111709594727,
        0.20910575985908508,
        0.20928175747394562,
        0.20911455154418945,
        0.21120907366275787,
        0.2160778045654297,
        0.30281928181648254,
        0.34328100085258484,
        0.4767830967903137,
        0.5326923727989197,
        0.6193715929985046,
        0.6713875532150269,
        0.7320697903633118,
        0.7547032237052917,
        0.7731334567070007,
        0.7849244475364685,
        0.8057065010070801,
        0.8188433051109314,
        0.8356329202651978,
        0.83951735496521,
        0.8531883955001831,
        0.8579849600791931,
        0.8714634776115417,
        0.8771394491195679,
        0.8943312764167786,
        0.9029098153114319,
        0.9125827550888062,
        0.9088227152824402,
        0.918667197227478,
        0.9262016415596008,
        0.9438498020172119,
        0.9557793140411377,
        0.9786457419395447,
        0.9842345714569092,
        0.9898398518562317,
        0.9906424880027771,
        0.9927671551704407,
        0.9931159615516663,
        0.992416501045227,
        0.9909595251083374,
        0.9859357476234436,
        0.9773868918418884,
        0.9684467911720276,
        0.96437007188797,
        0.9488332271575928,
        0.9529687166213989,
        0.9524824619293213,
        0.954023003578186,
        0.9397760033607483,
        0.9889684915542603,
        0.8380417227745056,
        0.8171054720878601,
        0.6649603247642517,
        0.5619931817054749,
        0.3701552152633667,
        0.2612549960613251,
        0.20223763585090637,
        0.20325598120689392,
        0.20382632315158844,
        0.20390570163726807,
        0.20420525968074799,
        0.2054406851530075,
        0.20624160766601562,
        0.20644697546958923,
        0.2070332169532776,
        0.2077692151069641,
        0.2079516351222992,
        0.2080860137939453,
        0.20834827423095703,
        0.20845888555049896,
        0.20889736711978912,
        0.20906075835227966,
        0.20910504460334778,
        0.2094598412513733,
        0.20946310460567474,
        0.2095351666212082,
        0.20929643511772156,
        0.2091512680053711,
        0.20948348939418793,
        0.20928530395030975,
        0.2092340886592865,
        0.20905563235282898,
        0.20927880704402924,
        0.20905783772468567,
        0.20905691385269165,
        0.2094195932149887,
        0.20919625461101532,
        0.20939844846725464,
        0.20913879573345184,
        0.20928354561328888,
        0.2089533656835556,
        0.20919612050056458,
        0.2091769129037857,
        0.20892800390720367,
        0.20894470810890198,
        0.20898555219173431,
        0.20898278057575226,
        0.2088954746723175,
        0.20892512798309326,
        0.2087811678647995,
        0.20902739465236664,
        0.21063125133514404,
        0.21675455570220947,
        0.22185981273651123,
        0.23004396259784698,
        0.23912666738033295,
        0.25152263045310974,
        0.25678059458732605,
        0.2686963677406311,
        0.28369125723838806,
        0.2909631133079529,
        0.31030693650245667,
        0.31217482686042786,
        0.31684786081314087,
        0.30944696068763733,
        0.3044288456439972,
        0.30135875940322876,
        0.3022780120372772,
        0.29582327604293823,
        0.29137155413627625,
        0.28538036346435547,
        0.29005002975463867,
        0.2818479835987091,
        0.28027957677841187,
        0.28656163811683655,
        0.25694432854652405,
        0.24722348153591156,
        0.24334490299224854,
        0.23747476935386658,
        0.23425091803073883,
        0.23010140657424927,
        0.22750400006771088,
        0.22426025569438934,
        0.22239531576633453,
        0.21962831914424896,
        0.2186964452266693,
        0.21704775094985962,
        0.21638038754463196,
        0.21462582051753998,
        0.21435195207595825,
        0.21181808412075043,
        0.21114955842494965,
        0.20941302180290222,
        0.2099130004644394,
        0.20839478075504303,
        0.20837867259979248,
        0.20729710161685944,
        0.20699350535869598,
        0.20686359703540802,
        0.20670185983181,
        0.20604081451892853,
        0.20584924519062042,
        0.20587585866451263,
        0.20547714829444885,
        0.20504413545131683,
        0.20518384873867035,
        0.20511864125728607,
        0.20490211248397827,
        0.2045096904039383,
        0.2045123428106308,
        0.2045140266418457,
        0.20463261008262634,
        0.20445546507835388,
        0.20457744598388672,
        0.2041475772857666,
        0.20440922677516937,
        0.20406098663806915,
        0.2039644718170166,
        0.20363114774227142,
        0.20395676791667938,
        0.2036825716495514,
        0.2036656141281128,
        0.20394258201122284,
        0.2036443054676056,
        0.20351509749889374,
        0.2036285251379013,
        0.20380841195583344,
        0.20336748659610748,
        0.20328550040721893,
        0.20388934016227722,
        0.20358452200889587,
        0.20361872017383575,
        0.20391984283924103,
        0.20407332479953766,
        0.20359686017036438,
        0.20369136333465576,
        0.20360784232616425,
        0.20373623073101044,
        0.20365341007709503,
        0.20373763144016266,
        0.2033887356519699,
        0.20418265461921692,
        0.2042846828699112,
        0.20419158041477203,
        0.2044013887643814,
        0.20397941768169403,
        0.20432154834270477,
        0.20466461777687073,
        0.2046181708574295,
        0.2048494815826416,
        0.2051323652267456,
        0.2050306349992752,
        0.20536544919013977,
        0.2059042602777481,
        0.2058396339416504,
        0.2064071148633957,
        0.20629984140396118,
        0.20670518279075623,
        0.20671644806861877,
        0.20672836899757385,
        0.20677021145820618,
        0.20658399164676666,
        0.20652413368225098,
        0.20615769922733307,
        0.20602555572986603,
        0.20612052083015442,
        0.2060500830411911,
        0.20570172369480133,
        0.20581118762493134,
        0.2055676132440567,
        0.20591875910758972,
        0.20642226934432983,
        0.20688126981258392,
        0.20775924623012543,
        0.20837974548339844,
        0.20915944874286652,
        0.2115507274866104,
        0.21316194534301758,
        0.21384988725185394,
        0.2169305980205536,
        0.218919038772583,
        0.22208164632320404,
        0.22491808235645294,
        0.22474561631679535,
        0.22674906253814697,
        0.22860442101955414,
        0.2316460907459259,
        0.23365157842636108,
        0.2372017800807953,
        0.2424418330192566,
        0.280226469039917,
        0.2875351011753082,
        0.25462251901626587,
        0.26363348960876465,
        0.2732430398464203,
        0.2780572474002838,
        0.29280203580856323,
        0.3006695508956909,
        0.2998598515987396,
        0.3068053424358368,
        0.30476000905036926,
        0.3076246678829193,
        0.302974671125412,
        0.30332785844802856,
        0.3006376028060913,
        0.29981860518455505,
        0.2989562153816223,
        0.30393552780151367,
        0.2736179828643799,
        0.2512678802013397,
        0.24298831820487976,
        0.23124293982982635,
        0.21937893331050873,
        0.2082887440919876,
        0.2086014300584793,
        0.20870527625083923,
        0.20868974924087524,
        0.20858770608901978,
        0.2088405191898346,
        0.20866082608699799,
        0.2087346911430359,
        0.20846369862556458,
        0.2085622400045395,
        0.208600252866745,
        0.2085065245628357,
        0.20844903588294983,
        0.22041884064674377,
        0.3042546510696411,
        0.37099000811576843,
        0.49258527159690857,
        0.5687355399131775,
        0.660761833190918,
        0.7260611057281494,
        0.7594727277755737,
        0.8057637214660645,
        0.8356139063835144,
        0.8639242053031921,
        0.8817469477653503,
        0.8956950306892395,
        0.9127448201179504,
        0.9073636531829834,
        0.914071261882782,
        0.9230720400810242,
        0.9192825555801392,
        0.9291231036186218,
        0.9332309365272522,
        0.9372692704200745,
        0.9396989345550537,
        0.9376831650733948,
        0.9412543773651123,
        0.946427047252655,
        0.9441816210746765,
        0.9447563290596008,
        0.9377354979515076,
        0.9385694861412048,
        0.9413056373596191,
        0.9490472674369812,
        0.9540790319442749,
        0.9535232782363892,
        0.9580821394920349,
        0.9588299989700317,
        0.9459651112556458,
        0.9434308409690857,
        0.9414031505584717,
        0.936613917350769,
        0.9299153089523315,
        0.939522385597229,
        0.9166971445083618,
        0.8693705201148987,
        0.8510441184043884,
        0.757736325263977,
        0.5532923936843872,
        0.46280378103256226,
        0.31162142753601074,
        0.20265157520771027,
        0.2022228091955185,
        0.2031218558549881,
        0.20335711538791656,
        0.2032795548439026,
        0.20461076498031616,
        0.2051255851984024,
        0.20570732653141022,
        0.2064511775970459,
        0.2070382982492447,
        0.20728109776973724,
        0.20734897255897522,
        0.20739883184432983,
        0.20778784155845642,
        0.20811215043067932,
        0.2084454447031021,
        0.20873218774795532,
        0.20917336642742157,
        0.20899879932403564,
        0.20892298221588135,
        0.20883338153362274,
        0.20887045562267303,
        0.20885278284549713,
        0.20874616503715515,
        0.20876260101795197,
        0.20871548354625702,
        0.20867714285850525,
        0.20847436785697937,
        0.20866739749908447,
        0.20868723094463348,
        0.2087971568107605,
        0.20859067142009735,
        0.20874930918216705,
        0.20875026285648346,
        0.208608940243721,
        0.20880337059497833,
        0.20866206288337708,
        0.20860302448272705,
        0.20876097679138184,
        0.20877832174301147,
        0.2083258181810379,
        0.20846864581108093,
        0.20868606865406036,
        0.2086094617843628,
        0.20863814651966095,
        0.20875726640224457,
        0.20835071802139282,
        0.208595871925354,
        0.20840218663215637,
        0.20823121070861816,
        0.2083827257156372,
        0.20843039453029633,
        0.2094254195690155,
        0.2197439968585968,
        0.2266370803117752,
        0.23695816099643707,
        0.24472030997276306,
        0.2582434415817261,
        0.263506680727005,
        0.2860037386417389,
        0.2847958207130432,
        0.29909852147102356,
        0.3121097683906555,
        0.32180255651474,
        0.31888556480407715,
        0.3164110481739044,
        0.3066977262496948,
        0.30497750639915466,
        0.3022531270980835,
        0.2953397035598755,
        0.29032590985298157,
        0.2820066809654236,
        0.29046735167503357,
        0.270199179649353,
        0.2657320499420166,
        0.2825772762298584,
        0.2551381587982178,
        0.24867288768291473,
        0.243020161986351,
        0.2389220893383026,
        0.23495793342590332,
        0.22896148264408112,
        0.2275146245956421,
        0.2228916436433792,
        0.21964171528816223,
        0.21785277128219604,
        0.2177249938249588,
        0.21512767672538757,
        0.21490655839443207,
        0.21260371804237366,
        0.21091307699680328,
        0.21005117893218994,
        0.20949628949165344,
        0.20742642879486084,
        0.20747198164463043,
        0.20608173310756683,
        0.2061859667301178,
        0.20580078661441803,
        0.20614412426948547,
        0.20581063628196716,
        0.20585928857326508,
        0.2054404765367508,
        0.2047424018383026,
        0.20451313257217407,
        0.2043314278125763,
        0.20400094985961914,
        0.20399902760982513,
        0.20384931564331055,
        0.20414595305919647,
        0.2040024846792221,
        0.20422884821891785,
        0.20396627485752106,
        0.20434623956680298,
        0.20412951707839966,
        0.2043764442205429,
        0.20448946952819824,
        0.20421934127807617,
        0.20427589118480682,
        0.20443333685398102,
        0.20430709421634674,
        0.2044142335653305,
        0.2041650265455246,
        0.20431336760520935,
        0.2042892575263977,
        0.20443373918533325,
        0.20444367825984955,
        0.20429842174053192,
        0.20445755124092102,
        0.20443576574325562,
        0.20421102643013,
        0.20434698462486267,
        0.20483927428722382,
        0.2045789510011673,
        0.20484225451946259,
        0.20451752841472626,
        0.2048974633216858,
        0.20494940876960754,
        0.2051345258951187,
        0.20581792294979095,
        0.20567047595977783,
        0.20583118498325348,
        0.20604825019836426,
        0.20615658164024353,
        0.20564037561416626,
        0.20605893433094025,
        0.20637159049510956,
        0.2061336785554886,
        0.20687122642993927,
        0.20621873438358307,
        0.2064410150051117,
        0.20646709203720093,
        0.2061568945646286,
        0.20582635700702667,
        0.20546066761016846,
        0.20529207587242126,
        0.20608898997306824,
        0.2058304399251938,
        0.2053435891866684,
        0.20613254606723785,
        0.20593543350696564,
        0.2056649774312973,
        0.20594337582588196,
        0.20667210221290588,
        0.2068014144897461,
        0.20659925043582916,
        0.20773358643054962,
        0.20833460986614227,
        0.20922686159610748,
        0.21060238778591156,
        0.21168038249015808,
        0.21203257143497467,
        0.2150493860244751,
        0.21549464762210846,
        0.21609793603420258,
        0.21666894853115082,
        0.2182544767856598,
        0.2201944887638092,
        0.223428413271904,
        0.22541923820972443,
        0.2539103031158447,
        0.22398126125335693,
        0.22530537843704224,
        0.22846508026123047,
        0.234497532248497,
        0.2342522144317627,
        0.23667415976524353,
        0.22903725504875183,
        0.22716465592384338,
        0.22442057728767395,
        0.21709266304969788,
        0.21506738662719727,
        0.21410179138183594,
        0.21297191083431244,
        0.21203918755054474,
        0.21241159737110138,
        0.2121421843767166,
        0.21200937032699585,
        0.21078582108020782,
        0.2104869931936264,
        0.21021893620491028,
        0.20941808819770813,
        0.20930911600589752,
        0.2093046009540558,
        0.20950330793857574,
        0.2092784196138382,
        0.20963801443576813,
        0.20931309461593628,
        0.20920777320861816,
        0.2089998424053192,
        0.20927371084690094,
        0.20927272737026215,
        0.20929403603076935,
        0.20927131175994873,
        0.20895984768867493,
        0.20892861485481262,
        0.25981587171554565,
        0.33383694291114807,
        0.4086964428424835,
        0.43306952714920044,
        0.5717939138412476,
        0.6091293096542358,
        0.698784351348877,
        0.7691352367401123,
        0.8244103193283081,
        0.8747432231903076,
        0.8999439477920532,
        0.9148581624031067,
        0.932231068611145,
        0.935265302658081,
        0.9506704211235046,
        0.9642218351364136,
        0.9436060786247253,
        0.9465693831443787,
        0.949811577796936,
        0.9602382779121399,
        0.9627435803413391,
        0.9667330980300903,
        0.9664133787155151,
        0.9698494076728821,
        1.0050849914550781,
        0.9964796304702759,
        0.9905481338500977,
        0.9993963837623596,
        1.0051621198654175,
        1.019598364830017,
        1.0146654844284058,
        1.0213326215744019,
        1.0278605222702026,
        1.027807354927063,
        1.0274403095245361,
        1.0173910856246948,
        1.010500431060791,
        1.0041828155517578,
        1.0002857446670532,
        1.0129424333572388,
        0.9536005854606628,
        1.0123801231384277,
        0.9222516417503357,
        0.9128119945526123,
        0.8559063673019409,
        0.8575118780136108,
        0.6569974422454834,
        0.5327674746513367,
        0.43820229172706604,
        0.2848178744316101,
        0.20160016417503357,
        0.20299018919467926,
        0.203538715839386,
        0.20424164831638336,
        0.20445941388607025,
        0.20490607619285583,
        0.2054271101951599,
        0.20646880567073822,
        0.20798593759536743,
        0.207443967461586,
        0.20800137519836426,
        0.20828860998153687,
        0.20820875465869904,
        0.2084912657737732,
        0.20870907604694366,
        0.20883367955684662,
        0.20889529585838318,
        0.20923464000225067,
        0.20902720093727112,
        0.20905646681785583,
        0.20922525227069855,
        0.20918862521648407,
        0.20905274152755737,
        0.20889417827129364,
        0.20887093245983124,
        0.20885543525218964,
        0.2088872492313385,
        0.2087533324956894,
        0.20864486694335938,
        0.2084997594356537,
        0.208638995885849,
        0.208593487739563,
        0.20879440009593964,
        0.2097732573747635,
        0.21106965839862823,
        0.2116222381591797,
        0.2110777348279953,
        0.21164755523204803,
        0.21460558474063873,
        0.21531282365322113,
        0.2160152643918991,
        0.21869398653507233,
        0.2205207645893097,
        0.22488494217395782,
        0.22663307189941406,
        0.2282485067844391,
        0.22809186577796936,
        0.231696218252182,
        0.23193737864494324,
        0.23046204447746277,
        0.2309829592704773,
        0.2338060587644577,
        0.23453116416931152,
        0.22794529795646667,
        0.2274426519870758,
        0.22510786354541779,
        0.22234100103378296,
        0.221494659781456,
        0.21904073655605316,
        0.21687525510787964,
        0.21538467705249786,
        0.2144871950149536,
        0.21326099336147308,
        0.21211223304271698,
        0.21080157160758972,
        0.21035152673721313,
        0.20885209739208221,
        0.20852641761302948,
        0.20862983167171478,
        0.207231804728508,
        0.2069510519504547,
        0.20627328753471375,
        0.20710214972496033,
        0.20629596710205078,
        0.20588304102420807,
        0.2056003212928772,
        0.2052144557237625,
        0.2051393836736679,
        0.2052990049123764,
        0.20413194596767426,
        0.2041866034269333,
        0.20415793359279633,
        0.20393730700016022,
        0.20381517708301544,
        0.20382548868656158,
        0.20379608869552612,
        0.20397894084453583,
        0.20407287776470184,
        0.2039041519165039,
        0.2038070261478424,
        0.20389772951602936,
        0.2032056748867035,
        0.20356646180152893,
        0.20387184619903564,
        0.2037879228591919,
        0.20352719724178314,
        0.20344583690166473,
        0.20342718064785004,
        0.20342856645584106,
        0.20360979437828064,
        0.20384012162685394,
        0.20382246375083923,
        0.20413489639759064,
        0.203613743185997,
        0.20427881181240082,
        0.2037336826324463,
        0.20386329293251038,
        0.20351950824260712,
        0.2039777636528015,
        0.20410364866256714,
        0.20382165908813477,
        0.20388878881931305,
        0.20397727191448212,
        0.20431184768676758,
        0.2046884447336197,
        0.20488083362579346,
        0.20470775663852692,
        0.2052047699689865,
        0.20536136627197266,
        0.2054651975631714,
        0.2060849368572235,
        0.20708778500556946,
        0.207511767745018,
        0.2076449990272522,
        0.20839324593544006,
        0.20846256613731384,
        0.20847344398498535,
        0.20813342928886414,
        0.20871274173259735,
        0.20947898924350739,
        0.20960311591625214,
        0.20925982296466827,
        0.20886489748954773,
        0.20886364579200745,
        0.2095576673746109,
        0.20934370160102844,
        0.21009933948516846,
        0.20974799990653992,
        0.21007393300533295,
        0.2085677683353424,
        0.20857375860214233,
        0.20901018381118774,
        0.209122434258461,
        0.2092779129743576,
        0.21155855059623718,
        0.21000297367572784,
        0.2103728950023651,
        0.2111680656671524,
        0.21297767758369446,
        0.2137131690979004,
        0.21789416670799255,
        0.21904921531677246,
        0.22322358191013336,
        0.22599373757839203,
        0.23396076261997223,
        0.24902935326099396,
        0.2281523197889328,
        0.2291402667760849,
        0.22707347571849823,
        0.230580136179924,
        0.22971880435943604,
        0.22976653277873993,
        0.22837069630622864,
        0.22017866373062134,
        0.2188849300146103,
        0.20842747390270233,
        0.20649223029613495,
        0.21048755943775177,
        0.20836056768894196,
        0.2088407576084137,
        0.2090153992176056,
        0.20932431519031525,
        0.2086823582649231,
        0.20866207778453827,
        0.2086794078350067,
        0.20867791771888733,
        0.2087607979774475,
        0.20873063802719116,
        0.20864111185073853,
        0.20847895741462708,
        0.20861457288265228,
        0.20862138271331787,
        0.20853933691978455,
        0.20854134857654572,
        0.2086244523525238,
        0.20866239070892334,
        0.20817646384239197,
        0.20801234245300293,
        0.20838207006454468,
        0.20853255689144135,
        0.20871777832508087,
        0.20853671431541443,
        0.20880155265331268,
        0.2084398716688156,
        0.20893843472003937,
        0.20862676203250885,
        0.20898811519145966,
        0.20857907831668854,
        0.20853348076343536,
        0.20848867297172546,
        0.20868948101997375,
        0.20859797298908234,
        0.20874173939228058,
        0.2084733247756958,
        0.20828191936016083,
        0.22614996135234833,
        0.24921151995658875,
        0.2840881943702698,
        0.3259449601173401,
        0.37921953201293945,
        0.4268207550048828,
        0.47751569747924805,
        0.5294415950775146,
        0.5866591334342957,
        0.6415855288505554,
        0.7054950594902039,
        0.7632322311401367,
        0.8146463632583618,
        0.8658892512321472,
        0.9153848886489868,
        0.9634822607040405,
        1.008312702178955,
        1.04800546169281,
        1.0816940069198608,
        1.1029826402664185,
        1.1168091297149658,
        1.1356149911880493,
        1.167061686515808,
        1.208771824836731,
        1.222764015197754,
        1.2431851625442505,
        1.2180875539779663,
        1.2035259008407593,
        1.200374722480774,
        1.182569980621338,
        1.1785085201263428,
        1.1988362073898315,
        1.2220942974090576,
        1.241927146911621,
        1.269364595413208,
        1.320478916168213,
        1.3218826055526733,
        1.3430057764053345,
        1.3544830083847046,
        1.2895766496658325,
        1.2507617473602295,
        1.4323524236679077,
        1.2902607917785645,
        1.3106387853622437,
        1.309942603111267,
        1.3048946857452393,
        1.3180785179138184,
        1.2756558656692505,
        1.3101630210876465,
        1.3238922357559204,
        1.3386844396591187,
        1.357959508895874,
        1.3219523429870605,
        1.3350054025650024,
        1.348300576210022,
        1.334926724433899,
        1.3228411674499512,
        1.3245116472244263,
        1.3273152112960815,
        1.32985258102417,
        1.325244665145874,
        1.294084072113037,
        1.3421355485916138,
        1.255557894706726,
        1.3232014179229736,
        1.1217505931854248,
        1.008683204650879,
        0.9388183951377869,
        0.7988680005073547,
        0.6883782148361206,
        0.5641353726387024,
        0.48254701495170593,
        0.3998899757862091,
        0.31783369183540344,
        0.2440175712108612,
        0.19865737855434418,
        0.20117153227329254,
        0.2028796225786209,
        0.20286312699317932,
        0.20313486456871033,
        0.20379823446273804,
        0.2039232701063156,
        0.20467022061347961,
        0.20531921088695526,
        0.2062925398349762,
        0.2067730724811554,
        0.20720991492271423,
        0.2079496532678604,
        0.20816966891288757,
        0.20846772193908691,
        0.20856446027755737,
        0.2087624967098236,
        0.20883113145828247,
        0.20858503878116608,
        0.20841579139232635,
        0.20856618881225586,
        0.20879672467708588,
        0.20823101699352264,
        0.20848236978054047,
        0.20879310369491577,
        0.20854413509368896,
        0.20827032625675201,
        0.20824535191059113,
        0.20864011347293854,
        0.20862597227096558,
        0.2084924876689911,
        0.20839418470859528,
        0.2086716741323471,
        0.20845167338848114,
        0.2085011750459671,
        0.20816773176193237,
        0.20832206308841705,
        0.20854298770427704,
        0.20859494805335999,
        0.2083989679813385,
        0.20831963419914246,
        0.20823508501052856,
        0.2081022560596466,
        0.20813919603824615,
        0.2082095891237259,
        0.20817209780216217,
        0.2084907591342926,
        0.20836400985717773,
        0.20831063389778137,
        0.20815575122833252,
        0.2083277553319931,
        0.20817014575004578,
        0.20811215043067932,
        0.20848877727985382,
        0.20847703516483307,
        0.20798355340957642,
        0.20819351077079773,
        0.20813356339931488,
        0.20845457911491394,
        0.2080094814300537,
        0.20811855792999268,
        0.2082141488790512,
        0.2081838846206665,
        0.20820550620555878,
        0.2082240730524063,
        0.2082386463880539,
        0.2081775814294815,
        0.2081916779279709,
        0.2081594616174698,
        0.20806387066841125,
        0.2083878517150879,
        0.20818078517913818,
        0.2083849012851715,
        0.20843899250030518,
        0.20832908153533936,
        0.20840507745742798,
        0.20820465683937073,
        0.20829792320728302,
        0.20830249786376953,
        0.208169624209404,
        0.20847491919994354,
        0.20818959176540375,
        0.2084851711988449,
        0.20849163830280304,
        0.20830965042114258,
        0.2084854543209076,
        0.20813670754432678,
        0.20862293243408203,
        0.2084692120552063,
        0.20829544961452484,
        0.20838873088359833,
        0.20839504897594452,
        0.20836547017097473,
        0.2083568125963211,
        0.20841176807880402,
        0.20872266590595245,
        0.20848175883293152,
        0.20863154530525208,
        0.2086241990327835,
        0.20866374671459198,
        0.20835261046886444,
        0.2086346447467804,
        0.2084932178258896,
        0.20846916735172272,
        0.20853294432163239,
        0.20851464569568634,
        0.20841683447360992,
        0.2086460441350937,
        0.2085314691066742,
        0.20875060558319092,
        0.20870870351791382,
        0.2084776610136032,
        0.20856888592243195,
        0.20862706005573273,
        0.20851857960224152,
        0.20857851207256317,
        0.20847317576408386,
        0.20835477113723755,
        0.2084883600473404,
        0.20858889818191528,
        0.20864100754261017,
        0.20839311182498932,
        0.20843291282653809,
        0.20819418132305145,
        0.2082436978816986,
        0.20824435353279114,
        0.20813995599746704,
        0.20803964138031006,
        0.20830439031124115,
        0.20848201215267181,
        0.20847253501415253,
        0.2087068259716034,
        0.20806415379047394,
        0.2080649435520172,
        0.20828406512737274,
        0.20962432026863098,
        0.20956304669380188,
        0.2099485546350479,
        0.20978732407093048,
        0.2105463296175003,
        0.2115994691848755,
        0.2110365778207779,
        0.21288518607616425,
        0.21320068836212158,
        0.21511539816856384,
        0.21966032683849335,
        0.2179558426141739,
        0.22252817451953888,
        0.22297997772693634,
        0.22656838595867157,
        0.22759458422660828,
        0.2290145456790924,
        0.2285182774066925,
        0.22980733215808868,
        0.23542430996894836,
        0.23072627186775208,
        0.23056723177433014,
        0.2358938306570053,
        0.2382393330335617,
        0.22462448477745056,
        0.22132717072963715,
        0.22085092961788177,
        0.22139188647270203,
        0.21929581463336945,
        0.21760065853595734,
        0.21548715233802795,
        0.21594491600990295,
        0.21509003639221191,
        0.21447044610977173,
        0.2124653160572052,
        0.21231095492839813,
        0.21139556169509888,
        0.2097518891096115,
        0.20923572778701782,
        0.20893576741218567,
        0.2074943482875824,
        0.20719894766807556,
        0.20638646185398102,
        0.20595192909240723,
        0.2058672457933426,
        0.20591185986995697,
        0.2049151360988617,
        0.2048940360546112,
        0.20449738204479218,
        0.20395562052726746,
        0.2038743793964386,
        0.20356328785419464,
        0.2035679966211319,
        0.20367088913917542,
        0.20360399782657623,
        0.20369352400302887,
        0.20338833332061768,
        0.20326000452041626,
        0.20300720632076263,
        0.20341835916042328,
        0.20330141484737396,
        0.20333540439605713,
        0.20333847403526306,
        0.2029307633638382,
        0.20324121415615082,
        0.2037733942270279,
        0.20377199351787567,
        0.20381440222263336,
        0.2038203924894333,
        0.2038959562778473,
        0.20379886031150818,
        0.20374344289302826,
        0.20381146669387817,
        0.20365892350673676,
        0.20397314429283142,
        0.20402862131595612,
        0.20406146347522736,
        0.20395152270793915,
        0.20420017838478088,
        0.2042745053768158,
        0.2042936235666275,
        0.20391839742660522,
        0.20389918982982635,
        0.2038029283285141,
        0.20377348363399506,
        0.2040986716747284,
        0.2041209191083908,
        0.20464955270290375,
        0.20422197878360748,
        0.20431436598300934,
        0.20388855040073395,
        0.20384225249290466,
        0.20367556810379028,
        0.2036769837141037,
        0.20379655063152313,
        0.20421572029590607,
        0.2037585824728012,
        0.20454291999340057,
        0.20433124899864197,
        0.20418094098567963,
        0.2042550891637802,
        0.20490580797195435,
        0.2051747441291809,
        0.2056487798690796,
        0.2055000513792038,
        0.2054925262928009,
        0.20623813569545746,
        0.20771683752536774,
        0.2080475091934204,
        0.2086062729358673,
        0.20971839129924774,
        0.20966942608356476,
        0.21023322641849518,
        0.21030201017856598,
        0.21076394617557526,
        0.21137024462223053,
        0.21238596737384796,
        0.21235254406929016,
        0.21298719942569733,
        0.21282412111759186,
        0.21319960057735443,
        0.21309176087379456,
        0.21370083093643188,
        0.21471603214740753,
        0.21481052041053772,
        0.21536284685134888,
        0.21553465723991394,
        0.2162979394197464,
        0.21589916944503784,
        0.2170621156692505,
        0.21972347795963287,
        0.21988898515701294,
        0.2223164141178131,
        0.22750067710876465,
        0.22245579957962036,
        0.22870025038719177,
        0.2289537787437439,
        0.23263753950595856,
        0.2365422248840332,
        0.22380924224853516,
        0.2260574847459793,
        0.22634048759937286,
        0.22716563940048218,
        0.22463059425354004,
        0.22375929355621338,
        0.22322718799114227,
        0.22167973220348358,
        0.22041235864162445,
        0.22175626456737518,
        0.2235407680273056,
        0.2244609296321869,
        0.2213055044412613,
        0.22386983036994934,
        0.22477354109287262,
        0.22713612020015717,
        0.22636069357395172,
        0.22348813712596893,
        0.2203168421983719,
        0.21561993658542633,
        0.2169346660375595,
        0.20818212628364563,
        0.20864170789718628,
        0.20896287262439728,
        0.20932026207447052,
        0.2093604952096939,
        0.20933294296264648,
        0.20915073156356812,
        0.2089417427778244,
        0.20883844792842865,
        0.20903898775577545,
        0.209137961268425,
        0.20926448702812195,
        0.20922857522964478,
        0.20901064574718475,
        0.20905034244060516,
        0.2091638147830963,
        0.20905886590480804,
        0.20911726355552673,
        0.20900505781173706,
        0.2087574154138565,
        0.208804190158844,
        0.2090354859828949,
        0.20889651775360107,
        0.20902451872825623,
        0.20930945873260498,
        0.2088032364845276,
        0.20919296145439148,
        0.20905454456806183,
        0.2090606540441513,
        0.20877686142921448,
        0.27998945116996765,
        0.31607532501220703,
        0.4401099979877472,
        0.5007593035697937,
        0.610373854637146,
        0.6880221962928772,
        0.7730093002319336,
        0.8231027126312256,
        0.8867507576942444,
        0.9182868003845215,
        0.9394113421440125,
        0.9469836354255676,
        0.935322642326355,
        0.9407070875167847,
        0.9603101015090942,
        0.9817203879356384,
        0.9977924227714539,
        0.9953727126121521,
        0.9827793836593628,
        0.9702417850494385,
        0.9681260585784912,
        0.9619428515434265,
        0.9537866115570068,
        0.9580854177474976,
        0.9621953368186951,
        0.9684338569641113,
        0.9641547799110413,
        0.9682791829109192,
        0.971180260181427,
        0.9633196592330933,
        0.9692909717559814,
        0.9696521162986755,
        0.9952696561813354,
        0.9807419776916504,
        0.9881006479263306,
        0.9940165281295776,
        0.9953186511993408,
        0.9784807562828064,
        0.97430819272995,
        0.9627116322517395,
        0.9358190298080444,
        0.9902326464653015,
        0.9089012742042542,
        0.8672687411308289,
        0.7231155037879944,
        0.6486873626708984,
        0.42847874760627747,
        0.2954603433609009,
        0.2010534107685089,
        0.20276367664337158,
        0.203117236495018,
        0.20389001071453094,
        0.203959122300148,
        0.2043505758047104,
        0.20522823929786682,
        0.20608794689178467,
        0.20679497718811035,
        0.20731987059116364,
        0.20787924528121948,
        0.2082516998052597,
        0.20834290981292725,
        0.20843373239040375,
        0.2084340900182724,
        0.20885565876960754,
        0.20872041583061218,
        0.20889286696910858,
        0.2096525877714157,
        0.20897673070430756,
        0.2088991105556488,
        0.2092522531747818,
        0.20928938686847687,
        0.2094041258096695,
        0.2094382494688034,
        0.2091197371482849,
        0.20923316478729248,
        0.2094029039144516,
        0.20910240709781647,
        0.20910625159740448,
        0.2092055380344391,
        0.20916277170181274,
        0.20919159054756165,
        0.20922352373600006,
        0.2092706263065338,
        0.2089286893606186,
        0.20885305106639862,
        0.20940715074539185,
        0.209477961063385,
        0.20919404923915863,
        0.20934519171714783,
        0.20904111862182617,
        0.20898263156414032,
        0.20924535393714905,
        0.20915891230106354,
        0.20908021926879883,
        0.20910121500492096,
        0.20885899662971497,
        0.20865976810455322,
        0.20902571082115173,
        0.20898152887821198,
        0.2090839147567749,
        0.2089863419532776,
        0.20907911658287048,
        0.20876705646514893,
        0.20896150171756744,
        0.20865339040756226,
        0.2089872658252716,
        0.22205938398838043,
        0.2313520312309265,
        0.24068258702754974,
        0.2452036440372467,
        0.2646363079547882,
        0.26131296157836914,
        0.26217663288116455,
        0.27596843242645264,
        0.29626449942588806,
        0.28098568320274353,
        0.3261106312274933,
        0.3397414982318878,
        0.3335094153881073,
        0.3413289487361908,
        0.33538100123405457,
        0.33528268337249756,
        0.3254643976688385,
        0.3218510150909424,
        0.3144459128379822,
        0.31024402379989624,
        0.3049646317958832,
        0.30265551805496216,
        0.35250166058540344,
        0.2993581295013428,
        0.27655935287475586,
        0.2686402201652527,
        0.26020824909210205,
        0.25476571917533875,
        0.2497835010290146,
        0.24547921121120453,
        0.23883189260959625,
        0.23662514984607697,
        0.23157009482383728,
        0.22883421182632446,
        0.22662991285324097,
        0.2261323630809784,
        0.22442089021205902,
        0.22384704649448395,
        0.2225056290626526,
        0.22143664956092834,
        0.21983906626701355,
        0.2191871851682663,
        0.21725599467754364,
        0.2163507342338562,
        0.21463774144649506,
        0.21340997517108917,
        0.21286621689796448,
        0.21206416189670563,
        0.21143019199371338,
        0.21123440563678741,
        0.21059593558311462,
        0.21023264527320862,
        0.20961594581604004,
        0.2090027928352356,
        0.20950523018836975,
        0.20879697799682617,
        0.2088509052991867,
        0.2085714042186737,
        0.2085372507572174,
        0.20863090455532074,
        0.20836345851421356,
        0.20834173262119293,
        0.2082819640636444,
        0.20855925977230072,
        0.20843127369880676,
        0.20821493864059448,
        0.20827460289001465,
        0.2078392058610916,
        0.2076183706521988,
        0.2076459676027298,
        0.2079332172870636,
        0.20774880051612854,
        0.20762628316879272,
        0.2073892205953598,
        0.2076261043548584,
        0.20740319788455963,
        0.20720253884792328,
        0.20721109211444855,
        0.20705056190490723,
        0.2074381560087204,
        0.20753495395183563,
        0.20729230344295502,
        0.20758496224880219,
        0.20748579502105713,
        0.2073390781879425,
        0.20772792398929596,
        0.20769262313842773,
        0.20759758353233337,
        0.2076094150543213,
        0.20790110528469086,
        0.20779097080230713,
        0.20762187242507935,
        0.20816855132579803,
        0.20782823860645294,
        0.2083820402622223,
        0.20879152417182922,
        0.2090080827474594,
        0.20972992479801178,
        0.2097267359495163,
        0.20932583510875702,
        0.20915408432483673,
        0.2092074602842331,
        0.2093883901834488,
        0.20960289239883423,
        0.20956125855445862,
        0.2097616046667099,
        0.20969675481319427,
        0.20986241102218628,
        0.20958708226680756,
        0.2093859612941742,
        0.2088724970817566,
        0.20856529474258423,
        0.20806588232517242,
        0.2082354724407196,
        0.2084595113992691,
        0.20810818672180176,
        0.20852014422416687,
        0.20854409039020538,
        0.20897109806537628,
        0.20895804464817047,
        0.20943032205104828,
        0.2096121609210968,
        0.2110886126756668,
        0.21196214854717255,
        0.21362438797950745,
        0.21325872838497162,
        0.21640165150165558,
        0.21653297543525696,
        0.21895503997802734,
        0.22040382027626038,
        0.22256144881248474,
        0.22474373877048492,
        0.22909535467624664,
        0.23065556585788727,
        0.23610800504684448,
        0.23918624222278595,
        0.2454378306865692,
        0.2503463625907898,
        0.25209200382232666,
        0.25369980931282043,
        0.25897952914237976,
        0.2685757875442505,
        0.28528648614883423,
        0.2988148033618927,
        0.2857973873615265,
        0.3233006000518799,
        0.35577595233917236,
        0.3337025046348572,
        0.34009796380996704,
        0.3370389938354492,
        0.3444015383720398,
        0.3279479444026947,
        0.33454471826553345,
        0.32899585366249084,
        0.34141188859939575,
        0.33959469199180603,
        0.33188098669052124,
        0.3255021870136261,
        0.32045668363571167,
        0.31589755415916443,
        0.318246990442276,
        0.2579065263271332,
        0.22601346671581268,
        0.21789275109767914,
        0.21325699985027313,
        0.2116900533437729,
        0.20953218638896942,
        0.2093351185321808,
        0.20938988029956818,
        0.20913535356521606,
        0.2090505063533783,
        0.20927004516124725,
        0.20930324494838715,
        0.20921343564987183,
        0.20941062271595,
        0.209289088845253,
        0.26092344522476196,
        0.26169341802597046,
        0.39281129837036133,
        0.4166128635406494,
        0.5705172419548035,
        0.6014122366905212,
        0.7493187189102173,
        0.7515628337860107,
        0.8273424506187439,
        0.8589345812797546,
        0.8752278685569763,
        0.8919897079467773,
        0.9015862345695496,
        0.8848152160644531,
        0.8978050351142883,
        0.900795578956604,
        0.9070799350738525,
        0.9171066880226135,
        0.9387105703353882,
        0.9370705485343933,
        0.9269962310791016,
        0.9194322228431702,
        0.9353707432746887,
        0.9284538626670837,
        0.9299916625022888,
        0.9298927187919617,
        0.9327500462532043,
        0.9336004853248596,
        0.9283866882324219,
        0.9308322072029114,
        0.9364790320396423,
        0.9306420683860779,
        0.9294542074203491,
        0.931654691696167,
        0.9311193823814392,
        0.9309489727020264,
        0.9275325536727905,
        0.9230852127075195,
        0.9186306595802307,
        0.9116806387901306,
        0.9095948934555054,
        0.8938642740249634,
        0.8604057431221008,
        0.8262693881988525,
        0.7734508514404297,
        0.7288188934326172,
        0.6344065070152283,
        0.5594428181648254,
        0.4582615792751312,
        0.36120617389678955,
        0.21707864105701447,
        0.2003450244665146,
        0.2030264139175415,
        0.20328091084957123,
        0.20397239923477173,
        0.2040940374135971,
        0.2048577219247818,
        0.20549489557743073,
        0.20679756999015808,
        0.2071201354265213,
        0.20735304057598114,
        0.20757435262203217,
        0.20789135992527008,
        0.20786289870738983,
        0.20825758576393127,
        0.2085544317960739,
        0.20881681144237518,
        0.20890608429908752,
        0.20936520397663116,
        0.20914623141288757,
        0.20939500629901886,
        0.20903849601745605,
        0.20917674899101257,
        0.20918169617652893,
        0.20935876667499542,
        0.20927244424819946,
        0.20938369631767273,
        0.20915214717388153,
        0.2093694508075714,
        0.20937199890613556,
        0.2091548889875412,
        0.20916013419628143,
        0.20910730957984924,
        0.2091894894838333,
        0.21048778295516968,
        0.24480462074279785,
        0.2627488374710083,
        0.31125393509864807,
        0.33505383133888245,
        0.34110358357429504,
        0.3414207994937897,
        0.32538557052612305,
        0.32383298873901367,
        0.30644214153289795,
        0.3007974922657013,
        0.3097345530986786,
        0.2717461884021759,
        0.2568937838077545,
        0.2507883608341217,
        0.23859623074531555,
        0.23450180888175964,
        0.22936776280403137,
        0.22577397525310516,
        0.22039762139320374,
        0.21931858360767365,
        0.2155609130859375,
        0.2146647721529007,
        0.21279187500476837,
        0.21107184886932373,
        0.20994985103607178,
        0.2094271332025528,
        0.20876483619213104,
        0.2081807255744934,
        0.2080170214176178,
        0.20775140821933746,
        0.20755477249622345,
        0.20743075013160706,
        0.2081608921289444,
        0.20785684883594513,
        0.20811277627944946,
        0.20810247957706451,
        0.2079458087682724,
        0.20772138237953186,
        0.2080247700214386,
        0.20821215212345123,
        0.20814108848571777,
        0.20818807184696198,
        0.2083352953195572,
        0.20854942500591278,
        0.20862117409706116,
        0.20881660282611847,
        0.20888446271419525,
        0.20929650962352753,
        0.20926474034786224,
        0.20914387702941895,
        0.20928610861301422,
        0.20968781411647797,
        0.20990751683712006,
        0.21001170575618744,
        0.20980630815029144,
        0.20970889925956726,
        0.2099142074584961,
        0.21006089448928833,
        0.20945817232131958,
        0.20948614180088043,
        0.21049842238426208,
        0.21043412387371063,
        0.21129944920539856,
        0.21253500878810883,
        0.21308256685733795,
        0.21375572681427002,
        0.21567314863204956,
        0.21539312601089478,
        0.2190132588148117,
        0.2211645245552063,
        0.22573506832122803,
        0.22806990146636963,
        0.2372804582118988,
        0.24212393164634705,
        0.2515804171562195,
        0.25963717699050903,
        0.2733134925365448,
        0.28329864144325256,
        0.2917368412017822,
        0.2994333803653717,
        0.3285549581050873,
        0.35457542538642883,
        0.3512320816516876,
        0.33679547905921936,
        0.3139108419418335,
        0.3025921583175659,
        0.2874014675617218,
        0.2733186185359955,
        0.2589452862739563,
        0.24127475917339325,
        0.2241043895483017,
        0.2093825787305832,
        0.26624175906181335,
        0.30783432722091675,
        0.5269607305526733,
        0.5524966716766357,
        0.6340421438217163,
        0.6514380574226379,
        0.6659542918205261,
        0.6886965036392212,
        0.7004454731941223,
        0.7076491713523865,
        0.7335188388824463,
        0.7340213060379028,
        0.7586247324943542,
        0.7580515146255493,
        0.7604090571403503,
        0.7623581290245056,
        0.7623577117919922,
        0.7601473331451416,
        0.763893723487854,
        0.7571775317192078,
        0.7533643841743469,
        0.7487499117851257,
        0.7445826530456543,
        0.7228860259056091,
        0.6551663279533386,
        0.6032538414001465,
        0.41427314281463623,
        0.28668859601020813,
        0.20539328455924988,
        0.20710064470767975,
        0.20786671340465546,
        0.2092546820640564,
        0.20928117632865906,
        0.20955225825309753,
        0.20952503383159637,
        0.20928610861301422,
        0.20919767022132874,
        0.20897172391414642,
        0.2096271812915802,
        0.20880119502544403,
        0.2087956964969635,
        0.21264110505580902,
        0.21337628364562988,
        0.26554074883461,
        0.2870740294456482,
        0.3053722083568573,
        0.33074650168418884,
        0.3310111463069916,
        0.3379836082458496,
        0.30794012546539307,
        0.2988925576210022,
        0.2828039526939392,
        0.275424063205719,
        0.2710793912410736,
        0.263041228055954,
        0.25892412662506104,
        0.24798676371574402,
        0.24323058128356934,
        0.23018112778663635,
        0.22718653082847595,
        0.2213515341281891,
        0.21834509074687958,
        0.2158842533826828,
        0.2144152820110321,
        0.21112416684627533,
        0.2103026956319809,
        0.20824331045150757,
        0.20799650251865387,
        0.2080284208059311,
        0.20711404085159302,
        0.20682533085346222,
        0.20634281635284424,
        0.20617079734802246,
        0.20631469786167145,
        0.20605769753456116,
        0.20593170821666718,
        0.2057199478149414,
        0.20535477995872498,
        0.20610852539539337,
        0.20571821928024292,
        0.2056138664484024,
        0.20592547953128815,
        0.20557041466236115,
        0.20615485310554504,
        0.20570965111255646,
        0.2056414783000946,
        0.20591549575328827,
        0.20625005662441254,
        0.2070765644311905,
        0.20783203840255737,
        0.2090301513671875,
        0.21002238988876343,
        0.21000468730926514,
        0.2093709111213684,
        0.21134302020072937,
        0.21165132522583008,
        0.21205386519432068,
        0.2140386998653412,
        0.21459217369556427,
        0.2168458104133606,
        0.22251716256141663,
        0.223527729511261,
        0.2287568747997284,
        0.23694956302642822,
        0.2396872192621231,
        0.2432500571012497,
        0.2581525146961212,
        0.2571307122707367,
        0.27297714352607727,
        0.292354017496109,
        0.2947451174259186,
        0.30118328332901,
        0.3214743435382843,
        0.35273852944374084,
        0.35022100806236267,
        0.33127737045288086,
        0.31255707144737244,
        0.2936514914035797,
        0.2715285122394562,
        0.25236356258392334,
        0.24601200222969055,
        0.24129661917686462,
        0.2264021784067154,
        0.2091694325208664,
        0.2090463936328888,
        0.20910529792308807,
        0.20965038239955902,
        0.3144163489341736,
        0.42562681436538696,
        0.4459569752216339,
        0.6695423722267151,
        0.6873239278793335,
        0.7356247305870056,
        0.7465056777000427,
        0.743931233882904,
        0.738490641117096,
        0.7419356107711792,
        0.7441373467445374,
        0.7519601583480835,
        0.7636114358901978,
        0.7768877744674683,
        0.7815791368484497,
        0.788796067237854,
        0.7881138920783997,
        0.7882310152053833,
        0.7859294414520264,
        0.792255699634552,
        0.8051815629005432,
        0.8605659008026123,
        0.8795634508132935,
        0.9402451515197754,
        1.0009267330169678,
        1.012913703918457,
        1.0162330865859985,
        1.016279697418213,
        1.014977216720581,
        0.9925772547721863,
        0.9711381793022156,
        0.9194831252098083,
        0.8915085196495056,
        0.62432861328125,
        0.5080629587173462,
        0.2198876142501831,
        0.20479822158813477,
        0.20774881541728973,
        0.20834805071353912,
        0.20933906733989716,
        0.20952869951725006,
        0.20952753722667694,
        0.20949845016002655,
        0.20984023809432983,
        0.20951002836227417,
        0.20949356257915497,
        0.20930354297161102,
        0.2093435823917389,
        0.20912176370620728,
        0.2091914415359497,
        0.20924142003059387,
        0.2088342308998108,
        0.22163762152194977,
        0.22284550964832306,
        0.2705639898777008,
        0.2827886939048767,
        0.3186126947402954,
        0.37178903818130493,
        0.3517661392688751,
        0.350151389837265,
        0.32201987504959106,
        0.3125644028186798,
        0.29283127188682556,
        0.28152984380722046,
        0.2786901891231537,
        0.2623213827610016,
        0.2518021762371063,
        0.2462312877178192,
        0.24061042070388794,
        0.22977913916110992,
        0.22819331288337708,
        0.223713681101799,
        0.21856632828712463,
        0.21718336641788483,
        0.21482539176940918,
        0.21216388046741486,
        0.2111944556236267,
        0.21081463992595673,
        0.21103370189666748,
        0.2109665870666504,
        0.2103140652179718,
        0.20992882549762726,
        0.21012456715106964,
        0.2098173350095749,
        0.20979920029640198,
        0.2096814662218094,
        0.20910897850990295,
        0.20950287580490112,
        0.20930401980876923,
        0.20984210073947906,
        0.2102772295475006,
        0.20991265773773193,
        0.2096051424741745,
        0.20989054441452026,
        0.21014785766601562,
        0.21007715165615082,
        0.21007370948791504,
        0.2103881686925888,
        0.21062666177749634,
        0.21062079071998596,
        0.211081400513649,
        0.21095316112041473,
        0.21201291680335999,
        0.21295824646949768,
        0.21323804557323456,
        0.21677809953689575,
        0.21598780155181885,
        0.21723538637161255,
        0.21591715514659882,
        0.21633785963058472,
        0.21595098078250885,
        0.21379287540912628,
        0.2130117565393448,
        0.2117086499929428,
        0.21036028861999512,
        0.21117907762527466,
        0.2116972655057907,
        0.21210387349128723,
        0.21288935840129852,
        0.21523235738277435,
        0.21806888282299042,
        0.21924223005771637,
        0.2259947508573532,
        0.2409525215625763,
        0.24876049160957336,
        0.24845407903194427,
        0.23978553712368011,
        0.23970498144626617,
        0.23159031569957733,
        0.21892739832401276,
        0.2199673056602478,
        0.21142983436584473,
        0.20976871252059937,
        0.2087625116109848,
        0.2087576687335968,
        0.2088402807712555,
        0.20835107564926147,
        0.2612308859825134,
        0.43857839703559875,
        0.5304714441299438,
        0.518940806388855,
        0.6448158025741577,
        0.6524847745895386,
        0.6992120146751404,
        0.722545325756073,
        0.7342721223831177,
        0.7476591467857361,
        0.7686723470687866,
        0.7715673446655273,
        0.7932478189468384,
        0.8237534761428833,
        0.8511829972267151,
        0.9007652997970581,
        0.9430086612701416,
        0.9598805904388428,
        0.9820082783699036,
        0.9791818857192993,
        0.9784795045852661,
        0.9938877820968628,
        1.0158836841583252,
        1.0191035270690918,
        1.0460492372512817,
        1.0607454776763916,
        1.0562541484832764,
        1.0537930727005005,
        1.0409269332885742,
        1.0341891050338745,
        0.9837614893913269,
        0.875043511390686,
        0.774591326713562,
        0.7229259610176086,
        0.6549288630485535,
        0.6221756935119629,
        0.5090310573577881,
        0.3087296783924103,
        0.20649540424346924,
        0.20683929324150085,
        0.20811179280281067,
        0.20904085040092468,
        0.20894281566143036,
        0.20916318893432617,
        0.209146186709404,
        0.20943379402160645,
        0.20925696194171906,
        0.2091783881187439,
        0.20940347015857697,
        0.20899543166160583,
        0.208727166056633,
        0.2089988887310028,
        0.20876438915729523,
        0.20905685424804688,
        0.20867854356765747,
        0.2088479846715927,
        0.20856507122516632,
        0.20941150188446045,
        0.20956937968730927,
        0.20948588848114014,
        0.2095649689435959,
        0.2092793732881546,
        0.20907816290855408,
        0.20570889115333557,
        0.21677912771701813,
        0.21902599930763245,
        0.232521191239357,
        0.23422348499298096,
        0.2419641762971878,
        0.22181223332881927,
        0.22589828073978424,
        0.22274619340896606,
        0.22207456827163696,
        0.22118881344795227,
        0.21968932449817657,
        0.21711263060569763,
        0.21468980610370636,
        0.21252666413784027,
        0.21128396689891815,
        0.21009859442710876,
        0.20934729278087616,
        0.2086581438779831,
        0.20757122337818146,
        0.20740057528018951,
        0.2073032557964325,
        0.20710289478302002,
        0.20712797343730927,
        0.20698373019695282,
        0.20684492588043213,
        0.2066170871257782,
        0.20684097707271576,
        0.20657572150230408,
        0.20619410276412964,
        0.20688112080097198,
        0.20750603079795837,
        0.20721128582954407,
        0.20802253484725952,
        0.20825324952602386,
        0.2088407278060913,
        0.20955073833465576,
        0.21070753037929535,
        0.21196871995925903,
        0.2126733660697937,
        0.21224144101142883,
        0.2134278565645218,
        0.21298857033252716,
        0.21094650030136108,
        0.2118530571460724,
        0.20980215072631836,
        0.21046406030654907,
        0.2094513177871704,
        0.20940519869327545,
        0.2114400714635849,
        0.21147944033145905,
        0.2140199989080429,
        0.2166023701429367,
        0.22384539246559143,
        0.23016181588172913,
        0.2295301854610443,
        0.2236669659614563,
        0.23210690915584564,
        0.22780878841876984,
        0.2260567992925644,
        0.2216978520154953,
        0.20967596769332886,
        0.20702508091926575,
        0.20855167508125305,
        0.2091311365365982,
        0.23369631171226501,
        0.2809622287750244,
        0.5854929685592651,
        0.5626769065856934,
        0.7514517903327942,
        0.7980039715766907,
        0.852723240852356,
        0.8390812277793884,
        0.8895472884178162,
        0.9055726528167725,
        0.9300762414932251,
        0.9475005269050598,
        0.9571541547775269,
        0.9585554003715515,
        0.9658652544021606,
        0.9608900547027588,
        0.9622904062271118,
        0.9683762788772583,
        1.0003889799118042,
        1.0547713041305542,
        1.188347578048706,
        1.1910953521728516,
        1.2651121616363525,
        1.5433735847473145,
        1.4986785650253296,
        1.4497729539871216,
        1.296429991722107,
        1.280112862586975,
        1.2455554008483887,
        1.1635998487472534,
        1.0786707401275635,
        1.0321056842803955,
        1.0012706518173218,
        0.9958583116531372,
        0.990581214427948,
        0.9759507775306702,
        0.9330973625183105,
        0.8865363597869873,
        0.6373999118804932,
        0.5132426619529724,
        0.2108590006828308,
        0.20431755483150482,
        0.2068810760974884,
        0.20772702991962433,
        0.2086477428674698,
        0.20868468284606934,
        0.20879477262496948,
        0.20881012082099915,
        0.20864374935626984,
        0.20869743824005127,
        0.20864078402519226,
        0.20906369388103485,
        0.2088235765695572,
        0.2091209441423416,
        0.20925049483776093,
        0.20899495482444763,
        0.20866507291793823,
        0.20879514515399933,
        0.20849373936653137,
        0.2089378386735916,
        0.20860564708709717,
        0.20873768627643585,
        0.20854806900024414,
        0.20841221511363983,
        0.20844051241874695,
        0.20837201178073883,
        0.20770563185214996,
        0.211629256606102,
        0.20632600784301758,
        0.21015296876430511,
        0.21157722175121307,
        0.23167318105697632,
        0.23248177766799927,
        0.22826851904392242,
        0.23425762355327606,
        0.2257712036371231,
        0.22196434438228607,
        0.22316955029964447,
        0.2237549126148224,
        0.21943970024585724,
        0.21939511597156525,
        0.21847090125083923,
        0.21752680838108063,
        0.21781939268112183,
        0.2161746472120285,
        0.2142390012741089,
        0.21230413019657135,
        0.211147278547287,
        0.20976679027080536,
        0.20856456458568573,
        0.20757439732551575,
        0.2069656103849411,
        0.20684511959552765,
        0.20670482516288757,
        0.2068268060684204,
        0.2066992223262787,
        0.20685774087905884,
        0.206711545586586,
        0.20647475123405457,
        0.20688368380069733,
        0.20691993832588196,
        0.20646505057811737,
        0.20683147013187408,
        0.2067939043045044,
        0.20656301081180573,
        0.20632095634937286,
        0.20659856498241425,
        0.206655815243721,
        0.2071777582168579,
        0.20646575093269348,
        0.2073192000389099,
        0.20741690695285797,
        0.20817486941814423,
        0.21022576093673706,
        0.21134793758392334,
        0.2111527919769287,
        0.2120819091796875,
        0.2121536284685135,
        0.21365496516227722,
        0.21571144461631775,
        0.21723687648773193,
        0.21897506713867188,
        0.22387750446796417,
        0.22397096455097198,
        0.22853897511959076,
        0.23722754418849945,
        0.23914794623851776,
        0.24188394844532013,
        0.25475338101387024,
        0.2506577670574188,
        0.2618122696876526,
        0.27638164162635803,
        0.27979224920272827,
        0.29565098881721497,
        0.32441461086273193,
        0.31194382905960083,
        0.33101746439933777,
        0.34078025817871094,
        0.3193398416042328,
        0.29859206080436707,
        0.27794623374938965,
        0.2660067081451416,
        0.2552658021450043,
        0.22452586889266968,
        0.2135676145553589,
        0.20950914919376373,
        0.21621687710285187,
        0.21995657682418823,
        0.462740421295166,
        0.5069271326065063,
        0.7422659993171692,
        0.799864649772644,
        0.9295487403869629,
        0.9037883877754211,
        0.911621630191803,
        0.9467606544494629,
        0.9596073031425476,
        0.9833370447158813,
        0.9954854846000671,
        0.9924103617668152,
        1.0187208652496338,
        1.0470072031021118,
        1.033928632736206,
        1.033096432685852,
        1.0445877313613892,
        1.0338691473007202,
        1.0340020656585693,
        1.0339677333831787,
        1.0322953462600708,
        1.01888108253479,
        0.9275643825531006,
        0.852487325668335,
        0.5965821743011475,
        0.3934832215309143,
        0.20976202189922333,
        0.20466211438179016,
        0.20791566371917725,
        0.2087542861700058,
        0.20933227241039276,
        0.20897233486175537,
        0.20943734049797058,
        0.2091696858406067,
        0.20897524058818817,
        0.20897094905376434,
        0.2087782770395279,
        0.2199556976556778,
        0.24575766921043396,
        0.308443546295166,
        0.3388706147670746,
        0.3633580505847931,
        0.36239975690841675,
        0.3492269814014435,
        0.33885061740875244,
        0.3222064673900604,
        0.3073555529117584,
        0.29666030406951904,
        0.29459112882614136,
        0.2906346917152405,
        0.28225207328796387,
        0.2745627760887146,
        0.2610549032688141,
        0.2564809322357178,
        0.2448294758796692,
        0.23765037953853607,
        0.23127135634422302,
        0.22892701625823975,
        0.22460544109344482,
        0.22387279570102692,
        0.21986523270606995,
        0.2176511287689209,
        0.21432837843894958,
        0.21258223056793213,
        0.21068769693374634,
        0.20921479165554047,
        0.20916801691055298,
        0.20770993828773499,
        0.2067606896162033,
        0.20681223273277283,
        0.20674562454223633,
        0.2067428082227707,
        0.2062426656484604,
        0.20634585618972778,
        0.20641528069972992,
        0.20637460052967072,
        0.20633578300476074,
        0.20640015602111816,
        0.20627263188362122,
        0.20647019147872925,
        0.20622724294662476,
        0.20626263320446014,
        0.2065272331237793,
        0.20682108402252197,
        0.2066936045885086,
        0.2066676914691925,
        0.2066313624382019,
        0.20650801062583923,
        0.20647692680358887,
        0.20660197734832764,
        0.20693708956241608,
        0.207026869058609,
        0.20702043175697327,
        0.20905958116054535,
        0.20898233354091644,
        0.21021822094917297,
        0.21208374202251434,
        0.2134380042552948,
        0.21360084414482117,
        0.21449127793312073,
        0.21365144848823547,
        0.21467599272727966,
        0.2156529277563095,
        0.2161201685667038,
        0.21793052554130554,
        0.2194068431854248,
        0.22064423561096191,
        0.22335869073867798,
        0.2275574803352356,
        0.2306787073612213,
        0.23507077991962433,
        0.23909413814544678,
        0.24932238459587097,
        0.2533321976661682,
        0.2622119188308716,
        0.26838773488998413,
        0.286164790391922,
        0.2935410141944885,
        0.3033134937286377,
        0.32011282444000244,
        0.32761383056640625,
        0.355093777179718,
        0.3605760633945465,
        0.35863691568374634,
        0.32580146193504333,
        0.3010695278644562,
        0.2859592139720917,
        0.24997009336948395,
        0.24075643718242645,
        0.2159779667854309,
        0.2090456634759903,
        0.20911940932273865,
        0.208937868475914,
        0.2089899331331253,
        0.21038973331451416,
        0.22518585622310638,
        0.4727368950843811,
        0.5141512751579285,
        0.7976915836334229,
        0.8532823324203491,
        0.9785057306289673,
        1.009138822555542,
        0.9621388912200928,
        0.9527134895324707,
        1.019299864768982,
        0.9686315655708313,
        0.9742527008056641,
        0.9527317881584167,
        0.9731741547584534,
        1.0029596090316772,
        1.1055686473846436,
        1.1513173580169678,
        1.291136622428894,
        1.2896472215652466,
        1.264317274093628,
        1.2867839336395264,
        1.2467032670974731,
        1.2282946109771729,
        1.0907533168792725,
        0.9311933517456055,
        0.8792703747749329,
        0.8406758904457092,
        0.79063880443573,
        0.7677737474441528,
        0.6583958268165588,
        0.5381996035575867,
        0.2940877079963684,
        0.2307513952255249,
        0.20764729380607605,
        0.20813271403312683,
        0.20898586511611938,
        0.2089649736881256,
        0.20868660509586334,
        0.2088800072669983,
        0.20894861221313477,
        0.20894721150398254,
        0.20836864411830902,
        0.24312885105609894,
        0.2636106312274933,
        0.3079904615879059,
        0.3354282081127167,
        0.3630311191082001,
        0.38385656476020813,
        0.34998273849487305,
        0.33400076627731323,
        0.3206474483013153,
        0.301364928483963,
        0.2983878552913666,
        0.2934126853942871,
        0.28947508335113525,
        0.27644431591033936,
        0.2699078917503357,
        0.25561270117759705,
        0.24778778851032257,
        0.23551124334335327,
        0.23050934076309204,
        0.22582899034023285,
        0.22281824052333832,
        0.2193637639284134,
        0.2177118957042694,
        0.21531668305397034,
        0.21394303441047668,
        0.21168877184391022,
        0.2104385942220688,
        0.20926879346370697,
        0.20756016671657562,
        0.20620355010032654,
        0.20654092729091644,
        0.20621217787265778,
        0.20532245934009552,
        0.20507915318012238,
        0.20491112768650055,
        0.20476172864437103,
        0.20457759499549866,
        0.2052178978919983,
        0.20464439690113068,
        0.2044263482093811,
        0.20433077216148376,
        0.20434381067752838,
        0.20411799848079681,
        0.2042461633682251,
        0.20406335592269897,
        0.20403636991977692,
        0.20383937656879425,
        0.20395131409168243,
        0.2040269672870636,
        0.20382609963417053,
        0.2036888748407364,
        0.20358075201511383,
        0.2039240449666977,
        0.20382386445999146,
        0.20390982925891876,
        0.20410968363285065,
        0.2040640115737915,
        0.20429885387420654,
        0.20408765971660614,
        0.2038794904947281,
        0.20382799208164215,
        0.20388782024383545,
        0.203770712018013,
        0.20436295866966248,
        0.20400001108646393,
        0.2040000557899475,
        0.20398955047130585,
        0.20428110659122467,
        0.20434308052062988,
        0.20413240790367126,
        0.20390968024730682,
        0.20381464064121246,
        0.204320028424263,
        0.20457546412944794,
        0.20446574687957764,
        0.2042398601770401,
        0.2044699639081955,
        0.20419122278690338,
        0.20428109169006348,
        0.2044035643339157,
        0.204055517911911,
        0.20395347476005554,
        0.20414631068706512,
        0.20393106341362,
        0.20377439260482788,
        0.20382490754127502,
        0.20384818315505981,
        0.20398932695388794,
        0.20337168872356415,
        0.2047029286623001,
        0.20587457716464996,
        0.20584426820278168,
        0.20613573491573334,
        0.20700088143348694,
        0.20826588571071625,
        0.2086087018251419,
        0.2075900137424469,
        0.20745348930358887,
        0.20730526745319366,
        0.2067936807870865,
        0.20631258189678192,
        0.20588457584381104,
        0.20563161373138428,
        0.2055874466896057,
        0.20539723336696625,
        0.20630282163619995,
        0.20646339654922485,
        0.20876260101795197,
        0.20897266268730164,
        0.21293367445468903,
        0.2143837809562683,
        0.2177731692790985,
        0.22315813601016998,
        0.22909602522850037,
        0.23882801830768585,
        0.2469729483127594,
        0.24764545261859894,
        0.2801720201969147,
        0.2997691333293915,
        0.31333041191101074,
        0.2982116937637329,
        0.30889391899108887,
        0.3027245104312897,
        0.3161317706108093,
        0.31565648317337036,
        0.3170369267463684,
        0.25714826583862305,
        0.21767009794712067,
        0.21473723649978638,
        0.20853641629219055,
        0.20907846093177795,
        0.21529296040534973,
        0.21065561473369598,
        0.2745356261730194,
        0.29633525013923645,
        0.46889543533325195,
        0.4778738021850586,
        0.606591522693634,
        0.601368248462677,
        0.7422326803207397,
        0.7973482012748718,
        0.8505223989486694,
        0.8645251989364624,
        0.97905033826828,
        1.019877314567566,
        1.0908387899398804,
        1.1074965000152588,
        1.2072116136550903,
        1.328265905380249,
        1.3003593683242798,
        1.2945735454559326,
        1.2926228046417236,
        1.284605622291565,
        1.2605154514312744,
        1.2307134866714478,
        1.1169874668121338,
        0.9809659123420715,
        0.8036693334579468,
        0.7548032999038696,
        0.6591545343399048,
        0.6381871104240417,
        0.501837968826294,
        0.3794625997543335,
        0.2538571059703827,
        0.21112321317195892,
        0.20793157815933228,
        0.20899206399917603,
        0.20916077494621277,
        0.2089606374502182,
        0.2092580795288086,
        0.20918619632720947,
        0.20917916297912598,
        0.20909900963306427,
        0.20905373990535736,
        0.20885604619979858,
        0.20914171636104584,
        0.20901431143283844,
        0.2087298482656479,
        0.20889702439308167,
        0.21079480648040771,
        0.21038967370986938,
        0.24138320982456207,
        0.26841476559638977,
        0.28355446457862854,
        0.3143751621246338,
        0.35304883122444153,
        0.3576558530330658,
        0.3429321348667145,
        0.3362581431865692,
        0.32367852330207825,
        0.3198545575141907,
        0.30284273624420166,
        0.2834385633468628,
        0.27075716853141785,
        0.2599598467350006,
        0.25341400504112244,
        0.2489812672138214,
        0.2413371056318283,
        0.23976515233516693,
        0.23728834092617035,
        0.23710310459136963,
        0.2371128797531128,
        0.23605090379714966,
        0.2317928969860077,
        0.22909606993198395,
        0.2270924299955368,
        0.2259998619556427,
        0.22496192157268524,
        0.22443577647209167,
        0.2238515317440033,
        0.22349664568901062,
        0.2236606478691101,
        0.22336257994174957,
        0.22386851906776428,
        0.22298341989517212,
        0.2229526787996292,
        0.22289524972438812,
        0.22270610928535461,
        0.22312891483306885,
        0.22311364114284515,
        0.22383832931518555,
        0.2247147262096405,
        0.22575336694717407,
        0.22751949727535248,
        0.22712412476539612,
        0.22412048280239105,
        0.22227704524993896,
        0.22196026146411896,
        0.22164775431156158,
        0.2213306576013565,
        0.22068296372890472,
        0.2206931710243225,
        0.22041170299053192,
        0.22290116548538208,
        0.22600194811820984,
        0.22890454530715942,
        0.23312248289585114,
        0.23577916622161865,
        0.24156345427036285,
        0.24788407981395721,
        0.2540227770805359,
        0.26755601167678833,
        0.28408822417259216,
        0.3024623990058899,
        0.30634355545043945,
        0.31955447793006897,
        0.3388521671295166,
        0.35032010078430176,
        0.3597102761268616,
        0.34824568033218384,
        0.3438695967197418,
        0.3032204210758209,
        0.24886882305145264,
        0.22540274262428284,
        0.2327784299850464,
        0.2588755190372467,
        0.3532153069972992,
        0.4525946080684662,
        0.642727792263031,
        0.7698054313659668,
        0.8652483224868774,
        0.958088219165802,
        0.9658303260803223,
        0.9687498211860657,
        0.9904375672340393,
        1.049524188041687,
        1.0780102014541626,
        1.1078177690505981,
        1.173577904701233,
        1.085512638092041,
        1.0171570777893066,
        0.712736189365387,
        0.6684319376945496,
        0.7318943738937378,
        0.5880424976348877,
        0.5705761313438416,
        0.6378194093704224,
        0.8015644550323486,
        1.0003200769424438,
        1.2773874998092651,
        1.1520116329193115,
        1.0960991382598877,
        1.0882045030593872,
        1.0877715349197388,
        1.021569013595581,
        0.8812153935432434,
        0.6701312065124512,
        0.447506308555603,
        0.29058629274368286,
        0.206760436296463,
        0.20911350846290588,
        0.21023909747600555,
        0.2109134942293167,
        0.21097682416439056,
        0.2107784003019333,
        0.21087820827960968,
        0.2104908525943756,
        0.2106272429227829,
        0.21083146333694458,
        0.2105478197336197,
        0.2103409767150879,
        0.2104504406452179,
        0.2101423740386963,
        0.21038818359375,
        0.21045413613319397,
        0.21054595708847046,
        0.21110694110393524,
        0.21058256924152374,
        0.21060432493686676,
        0.21051602065563202,
        0.21048425137996674,
        0.21078519523143768,
        0.22205272316932678,
        0.23811626434326172,
        0.2698158323764801,
        0.31423959136009216,
        0.32370635867118835,
        0.34256917238235474,
        0.33083632588386536,
        0.33127328753471375,
        0.31503623723983765,
        0.3134806454181671,
        0.30815431475639343,
        0.28322339057922363,
        0.2679416537284851,
        0.2567010521888733,
        0.2498541623353958,
        0.24378980696201324,
        0.2384880781173706,
        0.23550237715244293,
        0.23180368542671204,
        0.2251758873462677,
        0.22390854358673096,
        0.2237565666437149,
        0.22352764010429382,
        0.22192005813121796,
        0.21925370395183563,
        0.2178562432527542,
        0.21591246128082275,
        0.21558651328086853,
        0.21501576900482178,
        0.21518675982952118,
        0.2146431803703308,
        0.214009091258049,
        0.21348538994789124,
        0.21252800524234772,
        0.21229352056980133,
        0.213042750954628,
        0.21345722675323486,
        0.21312524378299713,
        0.21365369856357574,
        0.21363434195518494,
        0.21371127665042877,
        0.21348096430301666,
        0.213678240776062,
        0.2141871154308319,
        0.21435509622097015,
        0.21423356235027313,
        0.21447858214378357,
        0.2154199779033661,
        0.21679525077342987,
        0.218584805727005,
        0.21959158778190613,
        0.21815544366836548,
        0.21709947288036346,
        0.21715147793293,
        0.2155451774597168,
        0.21532467007637024,
        0.21643657982349396,
        0.2158825546503067,
        0.21523728966712952,
        0.2164984941482544,
        0.21767841279506683,
        0.21791115403175354,
        0.2174711525440216,
        0.21951083838939667,
        0.22077971696853638,
        0.2212049663066864,
        0.22198253870010376,
        0.22251932322978973,
        0.22321735322475433,
        0.22290447354316711,
        0.22172093391418457,
        0.2290540486574173,
        0.229887455701828,
        0.23121507465839386,
        0.23384195566177368,
        0.2360779494047165,
        0.24691152572631836,
        0.24776528775691986,
        0.24153275787830353,
        0.23715922236442566,
        0.23722271621227264,
        0.23358899354934692,
        0.23492060601711273,
        0.22728116810321808,
        0.20733937621116638,
        0.20931139588356018,
        0.20910008251667023,
        0.20919442176818848,
        0.2090621292591095,
        0.2089286744594574,
        0.20909422636032104,
        0.20895875990390778,
        0.20916847884655,
        0.20893792808055878,
        0.21839722990989685,
        0.27760404348373413,
        0.4248088300228119,
        0.5544473528862,
        0.7240804433822632,
        0.8004457950592041,
        0.8630208373069763,
        0.9137999415397644,
        0.9420731067657471,
        0.9439175724983215,
        0.9374460577964783,
        0.9467558860778809,
        0.9634386897087097,
        0.9728760719299316,
        0.9955483078956604,
        1.0201714038848877,
        1.040082335472107,
        1.0666414499282837,
        1.0893182754516602,
        1.1230382919311523,
        1.144123911857605,
        1.177789330482483,
        1.2798466682434082,
        1.3714317083358765,
        1.303896188735962,
        1.3840961456298828,
        0.7557592988014221,
        0.9504759311676025,
        1.243536353111267,
        1.4205193519592285,
        1.171339750289917,
        0.9463785290718079,
        0.7145921587944031,
        0.5819112062454224,
        0.399697482585907,
        0.31052878499031067,
        0.24498893320560455,
        0.22387948632240295,
        0.2081322968006134,
        0.20864546298980713,
        0.2089851051568985,
        0.20912747085094452,
        0.2091541588306427,
        0.2089308500289917,
        0.20873530209064484,
        0.20873971283435822,
        0.20878545939922333,
        0.2087288349866867,
        0.2087089866399765,
        0.20878653228282928,
        0.20878735184669495,
        0.20905153453350067,
        0.2090887725353241,
        0.2086527794599533,
        0.2089107632637024,
        0.20918355882167816,
        0.20923611521720886,
        0.20921365916728973,
        0.20915639400482178,
        0.2092374861240387,
        0.20900802314281464,
        0.2089816778898239,
        0.20917771756649017,
        0.2092246115207672,
        0.21229247748851776,
        0.24745742976665497,
        0.44732049107551575,
        0.6906964778900146,
        0.847332239151001,
        0.9326629042625427,
        1.052068829536438,
        1.1806036233901978,
        1.2230396270751953,
        1.2259974479675293,
        1.2010798454284668,
        1.2226097583770752,
        1.2647335529327393,
        1.300081491470337,
        1.2891573905944824,
        1.291769027709961,
        1.3096309900283813,
        1.3331831693649292,
        1.333559513092041,
        1.34042489528656,
        1.420833706855774,
        1.2644145488739014,
        1.2492927312850952,
        1.306427240371704,
        1.3669726848602295,
        1.2382386922836304,
        1.1958603858947754,
        1.2008394002914429,
        1.2072049379348755,
        1.2483453750610352,
        1.12837815284729,
        0.9985132217407227,
        0.8608508706092834,
        0.6772621870040894,
        0.6276676654815674,
        0.5547433495521545,
        0.5121192336082458,
        0.49170100688934326,
        0.45112112164497375,
        0.41200801730155945,
        0.3079732358455658,
        0.25818631052970886,
        0.24319815635681152,
        0.21617688238620758,
        0.2111629843711853,
        0.21732114255428314,
        0.24014979600906372,
        0.23052027821540833,
        0.3849524259567261,
        0.548602283000946,
        0.6945434808731079,
        0.7734287977218628,
        0.824781596660614,
        0.8583369851112366,
        0.8769451975822449,
        0.8795180916786194,
        0.879087507724762,
        0.8803128004074097,
        0.8811898827552795,
        0.8822075724601746,
        0.8859653472900391,
        0.891327977180481,
        0.8949276208877563,
        0.9017127752304077,
        0.9112467169761658,
        0.9193201065063477,
        0.9324893355369568,
        0.9392532110214233,
        0.949107825756073,
        0.9591729640960693,
        0.9711068868637085,
        0.980739951133728,
        0.9950683116912842,
        1.0038541555404663,
        1.0146933794021606,
        1.0262306928634644,
        1.0384703874588013,
        1.0503450632095337,
        1.0637978315353394,
        1.0752323865890503,
        1.088395357131958,
        1.099867343902588,
        1.1139503717422485,
        1.124524712562561,
        1.1455835103988647,
        1.1589354276657104,
        1.1697618961334229,
        1.175176739692688,
        1.186915397644043,
        1.1950122117996216,
        1.1987696886062622,
        1.2031766176223755,
        1.2080680131912231,
        1.2114516496658325,
        1.2146011590957642,
        1.2190881967544556,
        1.222328782081604,
        1.2236475944519043,
        1.2265270948410034,
        1.2308663129806519,
        1.2351025342941284,
        1.2384618520736694,
        1.2412585020065308,
        1.24205482006073,
        1.2453269958496094,
        1.244645595550537,
        1.247241497039795,
        1.2486556768417358,
        1.2518541812896729,
        1.2544679641723633,
        1.2606796026229858,
        1.2653217315673828,
        1.2734978199005127,
        1.2836264371871948,
        1.292625904083252,
        1.3015714883804321,
        1.313281536102295,
        1.3271409273147583,
        1.34646475315094,
        1.3680825233459473,
        1.4020724296569824,
        1.439826488494873,
        1.4809499979019165,
        1.5279568433761597,
        1.5782856941223145,
        1.594017744064331,
        1.7239139080047607,
        1.580774188041687,
        1.3775742053985596,
        1.1653873920440674,
        1.3277994394302368,
        1.3125814199447632,
        1.2335350513458252,
        1.1259418725967407,
        1.0379079580307007,
        0.9624902606010437,
        0.8434243202209473,
        0.7335805892944336,
        0.6483432054519653,
        0.5572801828384399,
        0.45316800475120544,
        0.3618909418582916,
        0.30196207761764526,
        0.1988559067249298,
        0.20051394402980804,
        0.20068688690662384,
        0.2009115368127823,
        0.20139583945274353,
        0.20251189172267914,
        0.20275849103927612,
        0.20324265956878662,
        0.2041517049074173,
        0.20404493808746338,
        0.2040763795375824,
        0.20424431562423706,
        0.20485971868038177,
        0.20555758476257324,
        0.2061489224433899,
        0.20703250169754028,
        0.20725303888320923,
        0.20799604058265686,
        0.20744812488555908,
        0.20778001844882965,
        0.20852798223495483,
        0.2091076374053955,
        0.20978602766990662,
        0.21013781428337097,
        0.21059560775756836,
        0.21118639409542084,
        0.2121075689792633,
        0.212637796998024,
        0.2134121209383011,
        0.21330200135707855,
        0.21329253911972046,
        0.21350602805614471,
        0.21326451003551483,
        0.2133607268333435,
        0.21319428086280823,
        0.21331802010536194,
        0.21326576173305511,
        0.2132798582315445,
        0.21333013474941254,
        0.21326954662799835,
        0.21306972205638885,
        0.21345724165439606,
        0.21343298256397247,
        0.21343474090099335,
        0.21349871158599854,
        0.2136574536561966,
        0.21358421444892883,
        0.21362818777561188,
        0.2134612500667572,
        0.2135496437549591,
        0.21336255967617035,
        0.21359960734844208,
        0.21342842280864716,
        0.21337077021598816,
        0.21339817345142365,
        0.2133922576904297,
        0.21325865387916565,
        0.21313247084617615,
        0.21360239386558533,
        0.2133784294128418,
        0.21324744820594788,
        0.21351636946201324,
        0.21357299387454987,
        0.21340352296829224,
        0.21340669691562653,
        0.21338924765586853,
        0.2133626788854599,
        0.2135714739561081,
        0.2136385142803192,
        0.21297241747379303,
        0.21289390325546265,
        0.21361416578292847,
        0.21354998648166656,
        0.2135685235261917,
        0.21344757080078125,
        0.21355091035366058,
        0.21359089016914368,
        0.21339532732963562,
        0.21342650055885315,
        0.2133929580450058,
        0.21324604749679565,
        0.21364502608776093,
        0.21362921595573425,
        0.2136373519897461,
        0.21335509419441223,
        0.21333469450473785,
        0.21349449455738068,
        0.21370118856430054,
        0.2133369892835617,
        0.21335811913013458,
        0.21333304047584534,
        0.21348629891872406,
        0.21346727013587952,
        0.21316733956336975,
        0.21341688930988312,
        0.2134484350681305,
        0.2135976403951645,
        0.2134949415922165,
        0.2134672999382019,
        0.21365506947040558,
        0.21363721787929535,
        0.21332837641239166,
        0.21348124742507935,
        0.21356067061424255,
        0.21351556479930878,
        0.21341948211193085,
        0.2134503573179245,
        0.21357089281082153
    ]
}