{
    "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,
        491,
        500,
        447,
        391,
        362,
        358,
        336,
        325,
        346,
        329,
        383,
        434,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        501,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        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": [
        120.3698453912046,
        120.7204194501691,
        121.397563745316,
        120.70755169282091,
        120.97132709790935,
        121.10024920822777,
        120.87945135093614,
        121.26958895878612,
        120.74719468734473,
        121.18090887466032,
        120.86221614608397,
        120.71562229697743,
        120.80895609619346,
        121.94371409911977,
        121.1604686147006,
        121.12730908534668,
        120.52778078637442,
        121.19097446858576,
        121.25775675067204,
        120.50508035531583,
        121.0661469498198,
        121.04991117747423,
        120.611191935529,
        120.98327716073543,
        120.82400157378973,
        121.03551477314521,
        120.73262507920752,
        120.45750942269144,
        120.8851200088644,
        120.67665025867406,
        121.31965139558463,
        120.64773930603727,
        120.87384689769772,
        121.26685743942363,
        120.81390801252816,
        120.79829681768017,
        121.23865415370557,
        121.06372810884892,
        120.71803008696635,
        120.73391049603548,
        120.56070313327295,
        120.89601042604328,
        121.16910182273655,
        121.17384401422613,
        120.62815330086707,
        121.66832487043192,
        121.07080773321076,
        120.78208491783488,
        120.6345825604222,
        121.64981409670341,
        121.55900269457338,
        121.44071526013228,
        121.34083870767543,
        121.20139874738061,
        120.61230829003401,
        121.00766447919554,
        121.80815821871808,
        121.3423261818769,
        121.93887607760622,
        121.76230028791974,
        121.43061523738699,
        121.62475922109331,
        121.788526245342,
        121.83601211432948,
        122.05027372408854,
        122.25441116822778,
        122.73630091250264,
        121.7181182465307,
        121.78473319936055,
        121.73401422816143,
        116.93282603454118,
        97.12427949081241,
        89.65061160099037,
        90.33387401814079,
        91.80113513677098,
        84.74419309109958,
        76.8230952614359,
        67.7890700636906,
        60.71219361456711,
        59.58435103024971,
        56.80504022214586,
        57.49645233928423,
        45.40873971381743,
        32.048083936567124,
        29.337582459174264,
        23.089775377808746,
        18.542052544315034,
        15.27129011976755,
        11.594449501420113,
        12.496501726432559,
        15.194478804424127,
        16.56448421758958,
        17.721099171155636,
        19.195627531812857,
        17.476946975848133,
        11.540662245809168,
        9.87124059505175,
        8.874244063761212,
        8.64652700443504,
        7.431818532381201,
        7.6618619776967805,
        7.853706945931473,
        8.79737883230021,
        9.312226193085422,
        10.595530945879142,
        13.441643117111763,
        16.49887467201964,
        20.786585229645894,
        26.27388154723663,
        30.68821210834506,
        39.80891449150416,
        47.45552079404769,
        53.05372575363648,
        62.57940705025636,
        72.95481739565946,
        80.23689134181564,
        86.86449829636565,
        95.40747414429575,
        100.39020944770165,
        105.18390479924244,
        111.04109069002887,
        111.17303298012979,
        114.91249767704518,
        115.22818896171333,
        118.0459457112751,
        119.11091783656359,
        120.51157832491721,
        121.32060092472855,
        122.94481169669372,
        122.70160664054966,
        122.83282553156636,
        123.86120450573199,
        122.85079449370592,
        123.17132783788671,
        123.21814028692829,
        123.24587566604283,
        123.14162544600761,
        123.49388268081769,
        122.92296921279228,
        122.65956017995246,
        122.58727359290897,
        123.09813562322333,
        122.79617650674773,
        122.91144613522074,
        122.4845839806827,
        122.27264108970229,
        121.78160600928781,
        122.25322454044024,
        122.55571326914142,
        122.52238130259362,
        123.12788558423657,
        122.01418797685275,
        122.4392871874427,
        122.52546766493073,
        122.57809530752218,
        122.88579934876033,
        122.86262180240436,
        122.8766404802906,
        122.94095293403895,
        122.51047145490274,
        122.67637941150839,
        122.61990448374814,
        122.5717239570239,
        122.6959089584507,
        123.14158860747358,
        123.24551629914124,
        122.79017052921242,
        122.99777236621351,
        121.61223876701902,
        121.20642383414659,
        121.7608350017844,
        121.86324628898714,
        121.16575105581292,
        119.3670809295213,
        117.23388876577188,
        117.56429131617708,
        109.74952952575208,
        103.60258233265763,
        100.32673999267867,
        97.55436111646111,
        98.61763723849022,
        98.57466261744663,
        101.70874592596394,
        101.886675099898,
        95.63037642289143,
        90.98235109459499,
        89.61436405597563,
        81.21071308467954,
        60.371726706922644,
        41.906934274626366,
        46.146085784384105,
        38.464619500431006,
        26.468697911433896,
        19.248193359359185,
        15.585663684137371,
        13.91266418965186,
        14.88954933428143,
        15.915948712373655,
        19.403783275081494,
        23.965161993332323,
        27.84573458491184,
        32.19568860581428,
        41.10711298533415,
        56.407378077958185,
        84.397336868982,
        99.60640841653405,
        68.41649918588588,
        37.229213966594514,
        25.343362565923485,
        22.25274551281387,
        21.37460282385085,
        19.822251465345982,
        17.33047089920776,
        15.950189858131642,
        14.97552661829348,
        14.482731839345997,
        13.851867039390843,
        14.282396179989243,
        12.610531318422666,
        13.629936321451632,
        14.71298936364432,
        15.739497226516752,
        13.131166067655062,
        12.59480468486215,
        11.263405671065536,
        10.151476052991324,
        9.552553513138385,
        8.218821614330071,
        9.550213758570534,
        10.06498580548936,
        11.595191695032002,
        14.591235144578679,
        17.36052111108923,
        19.123071821704,
        16.87221278687727,
        14.995949796574072,
        9.23387369448344,
        7.641200086779912,
        8.507160724402329,
        10.264796724664302,
        13.085438310377752,
        15.361133826512342,
        24.395289943363302,
        32.78726951193985,
        33.61244971578973,
        46.4381767192594,
        53.7044610384712,
        55.316647094391605,
        69.22356088685865,
        76.03790896779107,
        78.82999154945605,
        94.70693765504608,
        99.80546506574015,
        100.25566339668939,
        104.40665462825442,
        108.97217165730797,
        110.67728251902145,
        113.55874627798563,
        116.97359070685927,
        117.34903864471669,
        119.01046696020042,
        119.72929203830076,
        120.0741623113435,
        121.07832511459729,
        121.642918133909,
        121.27240922397579,
        122.46076483001025,
        123.09472330391006,
        123.15138867091416,
        123.11373253771818,
        123.13957046006391,
        123.62034313207087,
        123.77614715415206,
        123.69292579393422,
        123.30086426266799,
        123.45658567104208,
        123.4708826424962,
        123.63062803407519,
        123.22742217033175,
        122.77606448266285,
        124.19328164903881,
        123.65185188439929,
        123.56497980411939,
        122.99650913421554,
        123.75373542634884,
        123.47406107349049,
        123.90391814929347,
        123.22402964273881,
        123.32480603014986,
        123.16989892962101,
        123.0482179631821,
        123.3017305090882,
        123.83021377611493,
        123.66075945436874,
        123.27865900033906,
        123.0383916510416,
        123.15083351804572,
        123.08792946566363,
        123.06278213531738,
        122.7970936997275,
        122.99754225504007,
        123.29592985729278,
        122.07746316927998,
        122.92057217740538,
        123.65937165405474,
        123.22995539618267,
        123.09239894854377,
        123.3353870609424,
        121.45819359476523,
        121.26889506010356,
        121.18182244194745,
        121.12269300008589,
        121.21460215247708,
        121.58219932770693,
        121.29283319402305,
        120.96570499728432,
        121.18415211068914,
        121.05315924207777,
        121.46346394184863,
        120.97856593543466,
        121.42323130110107,
        120.34807230408583,
        120.86154046681594,
        121.15674162788332,
        120.89509783989114,
        121.60155999167046,
        121.17489164762031,
        121.98145755193052,
        122.3906074806475,
        122.44835876577821,
        122.854906972918,
        123.26093475294698,
        123.19799068513709,
        122.80980224069344,
        122.98763566361204,
        122.36088501917405,
        123.08803696950272,
        123.2263297277191,
        123.21629717284458,
        122.27614152920566,
        122.37961672182419,
        121.84275640856568,
        122.42851787426777,
        123.02599501268037,
        123.15044682536757,
        122.58935752490589,
        123.1177212961435,
        123.06774826677689,
        120.8312322146934,
        121.03244460917949,
        121.30014663544749,
        120.28275807328033,
        121.15269615806909,
        120.57371696760372,
        121.17284351238936,
        120.7351202453267,
        120.58429749899848,
        120.86218130535228,
        120.95455264549608,
        120.5964469012213,
        120.87806320755364,
        120.40200264699162,
        121.34101536193288,
        120.24160106349866,
        120.77719022164054,
        120.6185687873661,
        120.6107729178523,
        120.96333024366074,
        120.79061322652554,
        121.38940714778624,
        120.96564080829336,
        120.40890880169222,
        120.67838694545483,
        121.0844364546139,
        120.24897593698955,
        120.87717930970167,
        120.99411549994369,
        121.01101393352852,
        120.36261684202854,
        121.34543402254494,
        120.33177024205501,
        120.92459158584099,
        120.61944784932652,
        122.21453352295202,
        122.56676629080857,
        122.79948498263889,
        122.6450891204644,
        122.49161525124548,
        122.0089492477029,
        122.25304975709804,
        120.75838822507464,
        121.39817167150719,
        120.51637788943651,
        120.81593043335916,
        120.1224861178044,
        120.11051564639995,
        120.09704708573248,
        120.15576669599544,
        120.24076697016464,
        120.3691994763566,
        120.7294942463015,
        120.63735198440538,
        120.1842596627359,
        120.50547651879585,
        120.36623608937619,
        120.85111966972134,
        120.47267457755733,
        120.24245063007494,
        120.24053714011744,
        119.81275572359887,
        120.39355355520942,
        120.57060325078565,
        119.5508676893399,
        120.55574684861405,
        120.33522740799694,
        120.0447372630848,
        120.11602007893043,
        119.93521460577875,
        119.98162889404253,
        120.19742997864147,
        120.1062803290284,
        119.8264476711649,
        119.83586419418191,
        119.82304474699505,
        119.58721621756379,
        119.86227359044896,
        120.27725045449779,
        119.81386854784714,
        119.93554959390056,
        121.46145085506159,
        121.53174820916442,
        121.64020106230039,
        122.27629037396001,
        122.22139833256753,
        121.0337075424194,
        121.24268930362656,
        121.47798708153547,
        121.72559357690989,
        121.55917268777175,
        121.92248224265626,
        121.23544996138612,
        121.26365231360917,
        121.94860402348712,
        121.12898883035585,
        121.40934062370017,
        121.11400947426164,
        121.08743348642311,
        121.68476162066037,
        121.74255371510678,
        121.8779225645024,
        120.00916780678034,
        119.65862632739695,
        119.88498124022108,
        120.9658967703104,
        120.96665684493563,
        122.02705350001654,
        121.67982340504777,
        120.38450985163813,
        120.62075371819839,
        121.12058766927206,
        121.34036823398071,
        121.89915504476699,
        121.18350870061474,
        121.17869214090302,
        121.1599091378848,
        121.56169034981434,
        121.8815771592881,
        121.37533572563468,
        121.2652409441283,
        121.00880196226761,
        121.10444166315222,
        121.27036910363921,
        121.50994237932107,
        120.99619007456897,
        120.96753302813872,
        121.29244160948657,
        120.88367973137942,
        121.06049895045841,
        121.7906606605591,
        121.36487423845438,
        121.45910121702856,
        121.32710156259394,
        121.33421845235615,
        121.08174333660297,
        121.67093103291073,
        121.14288572981087,
        121.05614388623012,
        121.17962512157584,
        120.82929312681983,
        121.34422797493619,
        121.72110785744623,
        121.15509612957514,
        120.82584188260677,
        121.40731137329736,
        121.10093380965657,
        121.33864294357913,
        121.61095262139669,
        121.60910335642484,
        121.33152756155928,
        122.1237528380509,
        121.24858619630074,
        121.79069416115802,
        121.61638465655176,
        121.51298860587592,
        121.6787753235552,
        121.21786732674218,
        121.41990922719997,
        121.7285265519192,
        121.73592536962889,
        121.59962717237738,
        121.30987636811042,
        121.08415868311282,
        121.75788937420197,
        121.80109994503371,
        120.90556723585723,
        121.70099968802363,
        121.71894873432406,
        121.45462056037974,
        121.09115891879988,
        121.72056964320095,
        121.2650627051454,
        121.62371588280651,
        121.61073430781069,
        121.72106316023252,
        121.58733344257499,
        121.66879973525877,
        121.0356240106774,
        121.64676090925494,
        121.47721630729278,
        122.14322531738577,
        121.74917098954425,
        121.96353421929314,
        121.91819667329494,
        122.1080410170986,
        121.40464382055444,
        122.14547821621781,
        122.00737740822923,
        121.86522627984132,
        122.04876545120867,
        121.30831466601948,
        121.98993434576343,
        121.76137429402199,
        121.81727259285336,
        121.91822930017989,
        121.81854890384913,
        122.31096600970656,
        121.44606754097316,
        121.77770900252173,
        121.7926315803554,
        120.17233292253896,
        107.47550166584486,
        106.44436777937717,
        113.98931350299519,
        114.44108679603175,
        115.1068926160835,
        111.22852917288738,
        115.25856775642472,
        110.49777044946426,
        102.56805612121865,
        97.89300530494674,
        96.50633752858148,
        94.88003146300753,
        93.83154658195592,
        94.52626663056836,
        91.25795608435094,
        91.08955753102862,
        91.85411023782281,
        90.1899660005164,
        88.05334959904536,
        86.20719616699164,
        83.2001822749003,
        82.95256761055346,
        82.21133788457784,
        83.7464427800841,
        86.03474590724905,
        89.25730975452923,
        92.1448127325846,
        95.20150331355889,
        96.13739607144117,
        94.91991090899805,
        95.31276550563763,
        94.70795220478199,
        96.19119983767284,
        97.05219036413114,
        95.51532667229617,
        95.72269257075298,
        98.68891506534031,
        100.54309250934625,
        104.1902649106155,
        101.49755039674055,
        103.45498056850963,
        105.25044906218059,
        106.05090501013848,
        103.10254722047337,
        99.05211514946532,
        97.02337195838321,
        96.28175487940865,
        98.14153806725318,
        97.97021988563058,
        99.65655490444462,
        99.15522059912033,
        99.41152126715187,
        99.86311270229301,
        97.8292436792757,
        97.31789238461135,
        96.27067961106363,
        95.86536490177095,
        94.68127421133394,
        95.30037000723827,
        95.38209454257465,
        93.05938836970687,
        92.69364149264533,
        92.58774920310178,
        91.97746596385345,
        91.42869321187226,
        91.6834646241353,
        90.2730135681273,
        89.98891708430068,
        89.50373805975889,
        88.94287832682993,
        89.23941474739235,
        89.66172016736725,
        89.6161400058553,
        90.65683228657568,
        93.0927737989699,
        93.2185452833759,
        92.64203269223344,
        92.22307688740213,
        91.28707499567659,
        91.68123589361045,
        91.36769531208978,
        91.01198278225662,
        91.61090313946644,
        91.53663122106431,
        92.34130822786862,
        92.38837672495688,
        92.77807906156825,
        92.80423864175921,
        93.59339626433864,
        93.26685618926415,
        93.93024305554242,
        94.35252567779995,
        94.21735493434063,
        94.67889320738995,
        94.87375753588147,
        94.98757988959305,
        94.53755417711339,
        94.31405771741817,
        94.33968310308207,
        94.39147810994201,
        93.66915790733478,
        93.31137292294396,
        93.73027016505367,
        93.33698020788009,
        93.410933514671,
        93.58876519061856,
        92.62065320820076,
        91.65739329912054,
        89.17894856739424,
        89.89626301788992,
        89.64294227673868,
        89.12913447011302,
        89.28811197622325,
        88.89387910525771,
        88.46171691517762,
        88.25534247639851,
        88.43229383345663,
        88.45541030859917,
        88.34616314350639,
        88.25680337813053,
        88.8402705145895,
        89.43802565998287,
        89.58827452838827,
        90.91054894171349,
        91.96180729403915,
        91.9145815249465,
        92.23471136443202,
        92.02140731577602,
        93.07275573456256,
        93.91264898480652,
        95.20931244118304,
        96.45399315601647,
        98.75200690625296,
        99.99248647747889,
        100.28194234128512,
        101.41575105552307,
        101.33446440729101,
        97.66048677328601,
        97.77337418254747,
        96.89920005863209,
        95.12399619611875,
        96.17540466211838,
        96.06561065332177,
        97.03511660438497,
        98.99783295877039,
        99.95388688604707,
        104.04493477677599,
        109.18101124072486,
        111.6578022822783,
        115.05443094310981,
        118.50816035031806,
        121.93083266752265,
        124.43014242975681,
        125.30839064570269,
        128.53823603299423,
        127.87389421552291,
        128.90220257491958,
        127.74250676945816,
        125.95545196351057,
        125.23077366829703,
        125.36462640621781,
        126.97280068907445,
        127.01679917945337,
        127.20008687954912,
        128.7231632527084,
        132.39767440731794,
        131.702136735298,
        130.88572834113148,
        127.95147610481999,
        119.67917625912793,
        116.55753239623527,
        116.97796577575,
        114.88755375603084,
        110.38080636454339,
        104.54823119645175,
        99.11012959717993,
        95.3501012663559,
        88.35869951444907,
        84.4995449938592,
        82.5076070312997,
        78.53924789744121,
        74.75489362902104,
        68.76271213619398,
        64.17841923826242,
        59.78895209208031,
        56.138727936656345,
        55.064207889909575,
        51.01508170261249,
        50.797932147498194,
        50.65618958131438,
        48.483412522156506,
        49.05775857485536,
        57.462959696370106,
        69.61997684023454,
        76.33430550655793,
        86.57846870927646,
        92.74211479105178,
        93.24407628395647,
        101.24678355181544,
        108.83325759207943,
        112.353305407834,
        117.68470264948618,
        119.93685418212944,
        124.53002372087063,
        124.95458756491527,
        125.43916193393022,
        126.58337892064232,
        125.99591578445309,
        127.10598709564793,
        126.79101950781491,
        127.67919149867348,
        127.05520648276561,
        127.96157695343463,
        128.39507288764977,
        127.44781442850794,
        127.8441942544818,
        128.10438630776733,
        127.3010188283641,
        128.2376846700021,
        128.15605300903272,
        127.22424674278017,
        126.19096739897427,
        126.88307512654899,
        126.604840809926,
        126.49369674843676,
        126.70351950869137,
        127.01070421406928,
        125.97677420575594,
        126.7881227820356,
        126.18077478653589,
        126.57454448444047,
        126.54285068398914,
        126.30514896513067,
        126.23764125225844,
        126.33911595265253,
        125.74332928065431,
        126.6154837582999,
        126.3543983198247,
        126.49222851782223,
        126.57050855148957,
        126.01235500121355,
        126.42043886605613,
        126.32043317491183,
        126.07803325723066,
        126.64233034170601,
        126.74989237657385,
        126.32945341936687,
        126.37639615929353,
        126.75703190683309,
        126.8751420658771,
        126.50780760203845,
        126.42601893084279,
        126.36227376031428,
        126.25284831631512,
        126.69082447266752,
        126.04647995610284,
        126.43505082021525,
        126.41736986061265,
        126.24714137632262,
        126.52246273886274,
        126.33671151836161,
        126.11643216439245,
        126.45706300267335,
        126.35524377986401,
        126.35795902616194,
        126.21537607229676,
        125.8857155559669,
        126.41434568362136,
        126.5349826336078,
        126.21884624923409,
        126.27624835516467,
        125.73967505545795,
        126.57668520859409,
        125.70249032401232,
        125.75164861712607,
        126.32553593659102,
        126.07890634824606,
        127.03017295083568,
        126.11751740920236,
        125.62690582638768,
        125.89787171302022,
        125.4058341139584,
        126.69893258699845,
        126.84641299416488,
        125.71567060359106,
        126.03716483389454,
        125.87750108661294,
        125.80954521606132,
        126.01465899991527,
        126.20205787277095,
        125.94383253130488,
        125.74400549777921,
        126.53529585093618,
        126.39929755346662,
        125.56033520978121,
        125.72034370585564,
        126.41892646187772,
        125.81516445818907,
        126.05697654907685,
        126.02678057166207,
        126.26755933638619,
        126.49886064568608,
        126.02726287625144,
        126.08193679248151,
        125.8226292105957,
        125.90352333912324,
        126.30573479274331,
        126.0584226549501,
        125.81528710179735,
        125.52497479393912,
        125.67290724010698,
        125.91289836033961,
        125.95700843277284,
        126.72307743269833,
        125.85632229647699,
        125.74938119346716,
        125.59386163554547,
        125.33969419543092,
        125.87667742573313,
        126.52748210189556,
        125.7011891768084,
        126.00951296882153,
        126.0284338390831,
        125.87001142698558,
        125.7619557765253,
        125.53475785283827,
        125.91762769950259,
        125.58593957547671,
        125.34396810648055,
        125.67704793615756,
        126.03725357009131,
        125.77178217711273,
        125.23901668687304,
        125.8678107185081,
        125.41593711863023,
        125.29267750133302,
        126.08134727031353,
        126.03000997043141,
        125.04365629031209,
        125.69753806452444,
        125.6977751484329,
        125.59372141198027,
        125.82655530594708,
        125.63759425025577,
        125.76011174264907,
        125.73040877697784,
        125.54834419353884,
        126.00024047958262,
        126.45886503761076,
        125.54875248970986,
        125.43382754808597,
        125.82311056495476,
        125.499381230031,
        125.91014490833884,
        125.01425967892766,
        125.86545047159501,
        125.20547001988587,
        126.16860273741615,
        125.47826690780518,
        125.61299744355412,
        126.32509604580716,
        126.16952168510444,
        125.89430608917304,
        125.32630412886452,
        125.44935995800175,
        125.73875449344641,
        125.72485496539632,
        125.13954995838682,
        126.41836041746207,
        125.3092158084904,
        125.49982676314238,
        126.22010438297286,
        125.77762682602906,
        125.83096222842065,
        126.10515319007065,
        125.5964835189431,
        125.77127140499579,
        125.84499754587469,
        126.05581001467547,
        126.18164258297563,
        125.29728435308942,
        125.85692510533895,
        125.98673648632192,
        125.57762855235444,
        126.11382018359033,
        126.5257590470491,
        126.19345369157142,
        126.21475039525794,
        126.16487911309072,
        126.04185392103449,
        125.37734978750717,
        126.03005106939618,
        125.22587953182251,
        126.1844976272006,
        125.82945423824154,
        125.75649691025403,
        126.14792634782147,
        125.52652662248853,
        125.91339511186044,
        126.0836173483766,
        125.48203227859248,
        125.7650153413455,
        125.45287607684553,
        125.6679210092039,
        125.49729805114293,
        125.45210663325295,
        125.32550140831096,
        125.15699661559428,
        125.62195087742097,
        125.2454436998143,
        125.4182759560479,
        126.4880967030837,
        126.24198587314716,
        125.9581223601352,
        125.30883383341761,
        125.80243263103229,
        126.22540405668559,
        125.16115191955451,
        125.49278798856994,
        125.01402074539115,
        125.28048341628005,
        125.29487551526024,
        125.32776755229126,
        124.5029608229643,
        125.82962942805965,
        126.13220777338597,
        125.43856429963164,
        125.28618642124123,
        125.52267541987419,
        125.45467255157294,
        125.43976886195111,
        125.0618289051132,
        125.03411221233891,
        125.39676881496592,
        125.27108326499518,
        125.56468963748426,
        125.04142255448659,
        125.272300273777,
        124.894272840272,
        125.10977744611885,
        125.72463081762783,
        125.32566143315513,
        125.72104989636372,
        125.81668028458009,
        125.50475934565979,
        125.57361257363654,
        126.25717676816862,
        125.36849880440576,
        125.52392791369397,
        125.74550801798486,
        125.42053203986723,
        125.46511598380751,
        124.83944911758948,
        124.46932588058884,
        125.06353587068725,
        125.17704182898697,
        125.2295988693546,
        125.54088797694031,
        124.2235789111561,
        124.98607247851749,
        124.93089593857292,
        124.88856962543798,
        125.22069144365904,
        125.29341498229668,
        125.20282312322328,
        125.3807286392484,
        125.41566895838126,
        125.16189446039334,
        125.51395018915831,
        125.49033716822373,
        125.95307205581557,
        125.94925981212933,
        125.97228270427566,
        124.94833528305699,
        125.47737064389364,
        125.29716434657087,
        124.94387535016082,
        124.96136691290411,
        125.8197294329021,
        125.76034029981359,
        125.81457899230192,
        125.49991968746092,
        125.09900533408953,
        125.20814139407106,
        124.93358213408665,
        124.98969000080868,
        125.99103502630489,
        125.07295283176289,
        125.12914147057502,
        125.5663071777464,
        125.07324221520116,
        125.13091652725896,
        125.02846409375117,
        124.6269638573435,
        124.8174018437887,
        125.298475486454,
        125.0526942514093,
        125.14369159096239,
        124.85641761625097,
        125.02483446492792,
        125.5059319489497,
        124.81368397998882,
        125.16670870799567,
        125.14256273595186,
        125.3426728884849,
        125.39580977781323,
        125.61545528300675,
        124.91522014995255,
        124.8741221083883,
        125.58898878130486,
        124.8235363755383,
        125.29071043647353,
        125.0827300846208,
        125.35692965694895,
        125.14194449139697,
        125.20646455780148,
        124.95395375284521,
        125.04120905366726,
        125.59379947612103,
        125.83508817110202,
        124.75046288864066,
        125.4107833970224,
        124.91008786942388,
        124.9331895753836,
        124.83091378721889,
        125.57662663631142,
        125.32188366540977,
        125.2538648672516,
        124.94760694620217,
        125.10052177974855,
        125.18562210874084,
        125.65352681161325,
        125.61373635081415,
        125.25722643121782,
        124.27442389925746,
        124.52991585342495,
        124.88874768784545,
        124.33931215811825,
        124.42670911859373,
        124.37524605701476,
        124.71190019367927,
        124.97764433672414,
        125.19871969863499,
        125.27243744567114,
        124.81502464333357,
        124.95344031100744,
        125.16028222187174,
        124.11971480556335,
        124.77203623465695,
        125.0795383631807,
        124.88212841268101,
        125.20704996791753,
        124.75488869456423,
        125.24102209519549,
        124.55803552594384,
        124.90483775374327,
        125.19622866481733,
        125.01735978937852,
        124.90988259628159,
        125.59320596126864,
        125.37191473326392,
        125.11978627570453,
        124.99831158087115,
        126.23113761309038,
        124.94601392663552,
        125.0773905226781,
        125.43700824560462,
        125.5914279095496,
        124.83125942865891,
        125.30010251347987,
        124.86003199711084,
        125.08737313911797,
        125.286302336987,
        125.76792173258347,
        125.54784940758005,
        124.72739227289672,
        124.68994579615763,
        125.03363290464608,
        124.79429369410761,
        124.82528608455372,
        125.26009308001757,
        124.95529384529833,
        125.13216390412671,
        124.91217354362391,
        125.27293296817686,
        125.20646222408595,
        125.57525657176522,
        125.12696429146327,
        125.64662308934824,
        125.73243352593114,
        125.57394959552781,
        125.5009422470834,
        124.69094814803809,
        125.07186964141002,
        124.6785070308155,
        124.91422194910236,
        125.53397092611874,
        124.99394765801961,
        124.96831200253408,
        124.72243420259404,
        125.02656659437844,
        124.4908425013141,
        125.0419358632299,
        124.61934962368997,
        124.76182406264512,
        124.88078904076518,
        125.08173928315878,
        124.88829377566783,
        125.94106824309716,
        124.69704798368761,
        125.14156188171086,
        125.3444645651149,
        125.1968813536738,
        124.9299676358777,
        125.47965277249664,
        124.21684135823175,
        125.6575975115406,
        124.78806399911315,
        124.98275045001442,
        126.10196557701828,
        124.9973172306734,
        125.47233475762823,
        124.90395192572974,
        124.8915345444845,
        125.14772937736979,
        124.73718404045566,
        124.7774765209045,
        125.12586543144563,
        124.7234473413661,
        125.29430037988723,
        126.03713786663367,
        125.8442006782813,
        125.21301296830333,
        125.32711943016062,
        124.53155187904432,
        124.92647553348414,
        125.45239871170618,
        124.8626900919592,
        124.89645622900132,
        124.34794388993176,
        124.59585181146002,
        125.25000720239898,
        124.80175711830863,
        125.34132917819083,
        124.86295134817998,
        124.35039858310466,
        125.33801187094232,
        125.52279248444967,
        125.00223041581401,
        125.46693365013783,
        124.8693315969207,
        125.46736899096273,
        125.1378324886865,
        125.20415390212324,
        124.64407499614109,
        125.04499916396075,
        125.16084716680695,
        124.87608866121683,
        124.81992746804193,
        124.46312148100593,
        125.06250139256801,
        125.32665163590974,
        125.0487333656547,
        124.42033953576096,
        125.29746228608751,
        125.31949823920645,
        125.94358442374221,
        124.84991975770164,
        125.76212146323415,
        125.14790853075515,
        125.30058347388785,
        125.50247985159788,
        125.36265308558022,
        125.52994325144867,
        125.47571685333136,
        125.39312254366928,
        124.7235177807749,
        125.422651634187,
        125.79574985172272,
        124.50696137493416,
        125.17522430346334,
        125.68108565349804,
        125.49807429513812,
        125.10582450408296,
        124.97924885064467,
        125.39142156972173,
        125.24411616360575,
        125.92716028228881,
        125.69468327907029,
        125.58612963278973,
        125.25773680823471,
        124.9544527887786,
        125.80980076942903,
        125.64190337472492,
        125.15996766960868,
        125.42421619866755,
        125.6799764613394,
        125.40292532678171,
        125.26231241929672,
        124.83349300449389,
        125.60595784829168,
        125.29428886872755,
        125.62754839622579,
        125.00117200568855,
        124.72537152511484,
        124.29936795895365,
        124.50176924519474,
        124.26148405125807,
        123.62211322698066,
        123.5330491626796,
        122.89948311071186,
        122.09259041845537,
        121.80277149039676,
        121.34059511793978,
        120.73798492043102,
        120.04053452892842,
        119.38123885023322,
        119.34891985283352,
        119.99824293860861,
        120.50581878885006,
        120.08879802288358,
        119.85116973981134,
        120.32636401152118,
        120.33333898206479,
        120.56081831704388,
        121.01308190331426,
        121.63376948633059,
        121.66509248351404,
        122.95133430051872,
        123.10783514456574,
        123.03052003210439,
        123.92874441724231,
        123.39643798968578,
        123.91735127397679,
        124.10185063170911,
        123.6451565272197,
        123.61645743670638,
        123.86487541774338,
        123.91111290999876,
        123.83549207214853,
        123.58294663591619,
        123.74767321990839,
        123.14026470275324,
        123.26501374496628,
        123.39734260381167,
        123.07887599233409,
        123.53268969669921,
        123.11408657082563,
        123.59051179710782,
        123.75192264881323,
        123.1697115913251,
        122.89677046258252,
        123.45912639382325,
        122.65435097294568,
        122.70370029939048,
        122.41044526191152,
        122.19603380773674,
        123.36527559000443,
        123.12029318370745,
        122.3554877916185,
        122.83970334735082,
        122.74664185047531,
        123.37043016954271,
        122.18993663535072,
        122.1799743154078,
        122.55950307913366,
        122.06252567905985,
        122.42443064220825,
        121.29948976019298,
        121.85903896441039,
        121.52898975315685,
        121.83584495192737,
        121.74155435849306,
        121.65755817083611,
        121.60229672385591,
        121.74257857977769,
        121.54700808680647,
        121.45905505278786,
        121.1034651480027,
        120.51826514165316,
        121.05122593123707,
        121.89350876423697,
        120.98281733238923,
        121.39506508902089,
        120.8842811115008,
        120.68414930021491,
        120.92037989858414,
        121.31874160854458,
        121.01141187910535,
        120.51647678935149,
        120.4340234605136,
        120.64845925000033,
        120.92114430101797,
        120.8432577736184,
        120.76028539332424,
        120.39426282661229,
        120.66781860242241,
        120.706353716028,
        121.05536478180109,
        120.30631957437956,
        120.20496371696368,
        120.41484600411862,
        120.51732791195143,
        120.33448346202516,
        121.0728625508355,
        120.25893556524213,
        120.86015850640118,
        121.52869081161982,
        121.06438851765243,
        121.21700142196835,
        122.08819789082092,
        120.85172585870122,
        120.43949166631289,
        121.50095729029147,
        120.95537136746174,
        121.2672997537777,
        120.88687756776697,
        120.69611145196136,
        120.3060155547906,
        121.06209562456931,
        120.34361464245309,
        120.36632366866954,
        121.00982789945125,
        120.7054459418068,
        120.84786787033809,
        120.72464346839357,
        121.04295909185161,
        121.34990927211102,
        121.63626450723595,
        121.87151453653922,
        121.89190135981966,
        121.8020041747021,
        121.90469696298165,
        122.55372578768801,
        122.10789042320246,
        122.36782686346429,
        122.7851969593607,
        122.66498613572593,
        122.29698588240447,
        122.10546941262575,
        122.30657493620143,
        122.40587556403301,
        122.71071404852174,
        123.17422234552285,
        122.43668755956523,
        122.76968960824551,
        123.17353184493558,
        123.7051564554849,
        123.55970267414868,
        122.43973949097882,
        123.16950272756497,
        123.11081822728592,
        123.61606828025067,
        123.12975455633078,
        123.829916436047,
        122.9345118550837,
        122.8892576664421,
        123.11426697906313,
        123.74082381234484,
        123.74252871311636,
        123.50004096813436,
        123.69271448808,
        123.04045367410588,
        123.87435925134402,
        123.75440112957513,
        123.47849088403466,
        122.9520524402653,
        123.25702402693662,
        123.41248400961797,
        123.2882879577416,
        123.2045568966931,
        123.00001388054666,
        123.45277795177812,
        123.48222615488928,
        123.66427391597915,
        123.4835361213682,
        123.7995901871825,
        123.46287086768919,
        123.72192794022625,
        124.3227571053523,
        123.76585791185117,
        123.56780738597395,
        123.5874194013303,
        124.01497337128737,
        124.02526656816566,
        123.72805285390102,
        123.49490826953468,
        123.82285688901976,
        123.11082107681877,
        123.37014915334234,
        123.29985269522484,
        123.91243714074326,
        123.9114084012585,
        123.90690444388983,
        123.6505301126609,
        123.23234446628388,
        123.44866168582064,
        122.89082343093598,
        122.7201236123605,
        123.39051510740234,
        123.93935650408697,
        123.54941437572899,
        123.1159707352416,
        123.08573397996565,
        122.90578577986145,
        123.10378194173171,
        123.32885516278726,
        123.21058735938243,
        123.76585108446652,
        123.61093765848985,
        123.87102915123819,
        123.83822353594275,
        123.35070384930847,
        123.10034697751017,
        123.83747172461489,
        123.71723823023615,
        123.34995701115822,
        123.23057647041779,
        123.2674250839041,
        122.99030729188,
        123.01325161780821,
        123.34563677731055,
        123.62376245201835,
        123.31451027905501,
        123.6324576294929,
        123.45318272899092,
        123.83657538457166,
        123.62086000894503,
        123.40282065413311,
        123.14325439201895,
        123.38495840721473,
        123.5250694527326,
        123.7425479512521,
        123.78388620356687,
        123.30990977555258,
        123.78156543923005,
        123.18596456551235,
        123.52684323004516,
        123.2092311683681,
        123.11292537736267,
        122.4378995626232,
        122.73856880324028,
        122.96864248820437,
        122.85666295814043,
        123.69172322902561,
        122.58432586302375,
        123.17853916773947,
        122.97376071271168,
        122.4729405017613,
        123.20375030941103,
        122.77841248217909,
        122.57822581917712,
        122.9002398612563,
        122.90487264641538,
        122.5267613917034,
        122.76206265322513,
        122.80197072924487,
        122.61761473373905,
        123.12410719368903,
        122.73954363305367,
        123.64839609685163,
        122.75365019165321,
        123.0826303646464,
        123.32942399581985,
        123.18111795370456,
        122.9411840433128,
        122.87278274712885,
        122.7182544834209,
        123.24613501479847,
        123.45773526876725,
        123.36235504393399,
        122.90096109138766,
        123.26671916630418,
        123.49431603127812,
        123.03136642994724,
        123.03267514693184,
        122.35142346561874,
        123.07686444848963,
        122.8103713261628,
        123.87973732938414,
        122.91084307320664,
        123.26098275395755,
        123.57495641160288,
        123.1872529978025,
        123.00148489195213,
        122.69613592232479,
        123.11564270703332,
        123.15614012494498,
        122.62642043164396,
        123.73431255138048,
        123.10975315977036,
        122.77448782068882,
        123.38158895441676,
        123.24280854732997,
        122.89310996534095,
        123.13733421745563,
        123.38613137525184,
        122.9404635144646,
        123.12971832053933,
        124.01840445434773,
        123.49491231689404,
        123.09644441330822,
        123.006913004556,
        123.18341201802941,
        122.78416695297287,
        122.84618504119942,
        122.7858388654762,
        123.2772594467601,
        123.07329285920059,
        123.48850948027292,
        123.19784612882933,
        123.10471431935622,
        123.32286841653773,
        122.85699895552325,
        123.24506604654749,
        122.44777567461847,
        122.3985403744722,
        122.64941846734374,
        122.7616382428451,
        122.64972656174632,
        123.18357913229777,
        122.86244192479761,
        122.44242490061013,
        123.02703075502079,
        122.56522547426452,
        122.89857504949323,
        123.18640704524029,
        122.81841581543772,
        122.26873622940911,
        122.78735598815108,
        123.08838353154066,
        123.14396258067634,
        122.89784552962375,
        122.67482666351555,
        122.41675946249575,
        122.8857389448554,
        123.2762699651835,
        122.577682110538,
        122.63938390035277,
        122.86091959126325,
        122.0217518941808,
        122.08387237334689,
        122.87734116716625,
        122.15728841668466,
        123.29588115735876,
        122.68687915487702,
        122.60292090877272,
        122.87989588735613,
        122.63002315521234,
        122.56717261461142,
        122.78005435998217,
        122.0617356174703,
        122.45521790980584,
        122.70034299610212,
        122.54576009325515,
        122.47871774581783,
        122.34140308212345,
        122.23371129704115,
        122.92645108439125,
        122.5681329836978,
        122.32947421037288,
        122.48122903397056,
        122.75450291813338,
        122.35671779066598,
        122.67114652712674,
        123.03849994172452,
        122.70718163415408,
        122.75152483134326,
        122.78130243836658,
        122.835357735936,
        122.63618065494488,
        123.16845101294487,
        122.53906798232566,
        123.0171342019492,
        122.80305584186182,
        122.80175070856825,
        122.65016817123986,
        122.40908100787483,
        123.57210125414066,
        122.2021592740365,
        123.63275796870359,
        123.09254407196036,
        122.86647996925363,
        122.2850049296983,
        122.7440809781264,
        122.70530090704563,
        122.34708795119498,
        122.49144456274239,
        122.00827104579453,
        122.29019672030157,
        122.59046156548345,
        122.69003621111524,
        122.75714877343803,
        122.99493413828048,
        122.58068434485855,
        122.33172285454508,
        121.76546511671228,
        121.97900353499878,
        123.02051862549972,
        122.35503753452795,
        122.74752212252307,
        122.84770621018467,
        123.28362379133102,
        122.35412829795995,
        122.16258356413032,
        122.7676423825111,
        122.3641593042612,
        122.67179645336746,
        122.5517837300805,
        122.30917941544772,
        122.12705195710807,
        121.97435868689443,
        122.43221544320365,
        122.58347227387553,
        121.9255425757701,
        121.79124557070425,
        122.33405908722942,
        122.53357270544434,
        122.1445543953832,
        122.21508859948044,
        122.67433724895993,
        122.54615417690812,
        122.29064936586528,
        122.2424293690328,
        122.61434181668302,
        122.19713697078944,
        122.02933739865146,
        122.16799426969662,
        121.9943423497451,
        122.07092549787795,
        121.9710403553318,
        121.72600372238465,
        122.06186107997497,
        122.60364159383246,
        122.37731589279788,
        121.8342253846952,
        122.2524267925995,
        121.94098272987627,
        122.48710935736563,
        122.06540723885688,
        122.59897640800608,
        122.04597174058121,
        121.83889428095239,
        122.22794266811201,
        122.17414048771674,
        121.94007272194125,
        121.89515538729438,
        122.6481004519946,
        122.55000679801539,
        122.56034380809331,
        122.09449804619679,
        122.66174825439391,
        122.60886625629736,
        122.23171373324449,
        122.041290597168,
        122.46181647440123,
        122.6091278904729,
        122.24378737215456,
        122.5282064430791,
        121.9184126003814,
        122.66431925321295,
        122.04830045511052,
        122.37234501251882,
        122.06411019198242,
        122.04041451528421,
        121.88098142458745,
        122.14796493224625,
        122.68220131704012,
        122.22863178912495,
        122.14057966483145,
        122.1905172381772,
        122.41941484226753,
        122.9561460630722,
        122.19316909098475,
        121.7774003695723,
        124.1029395450638,
        123.64609620061604,
        123.9851337191262,
        123.93789517786267,
        123.05497644200736,
        122.25235364136043,
        121.88625426424758,
        122.28689259084997,
        122.0505486337166,
        121.66580440030614,
        121.98898452036609,
        121.77003789556872,
        121.71254142450296,
        123.37568974524913,
        123.83888642579677,
        124.6235846732118,
        123.66598514581362,
        123.92361742761359,
        123.3868760076997,
        124.02422335576169,
        124.47291615172749,
        124.16494629515542,
        123.2860626975145,
        122.72638702943473,
        121.57791779804302,
        122.07103036461237,
        122.24385537208882,
        122.68992572798814,
        122.72964349025686,
        124.26408624643283,
        124.88372233470072,
        125.02067945042943,
        124.15580905657902,
        124.40498128003831,
        122.6146341552545,
        121.88735937956706,
        122.30989539755237,
        122.2318240252353,
        122.24632528550418,
        123.53096915818182,
        127.78283556173609,
        130.2643831676907,
        130.4667888370925,
        129.18443313138152,
        128.42559110168906,
        128.93294845261866,
        128.75814476499824,
        129.36310525187622,
        129.7954770777655,
        128.81841027356853,
        127.97003760069538,
        128.37157153620882,
        128.14278943098074,
        127.98490924298207,
        128.71748195507843,
        128.7979817544437,
        128.22143404077136,
        128.7875096785618,
        128.13684312347075,
        128.07975486221423,
        128.36300891500395,
        128.82062214861523,
        128.46585192686896,
        129.12283963563587,
        129.7974317699321,
        130.09222107848998,
        130.38460394627123,
        129.7873753043458,
        130.31466565928196,
        128.92078495904414,
        128.5869258022699,
        128.5247157634588,
        128.39708347759898,
        128.89100909445602,
        128.6911468235061,
        128.7075806620551,
        128.3112768724099,
        128.34965414591773,
        129.80821440846,
        130.33231864429789,
        130.37594244960255,
        130.1992959437975,
        129.84166667495484,
        130.3609978786704,
        130.06214985034612,
        130.01265054509196,
        130.70899595368738,
        129.10048605946938,
        129.5906270111637,
        131.05936536144984,
        129.46560909882166,
        128.69284178933975,
        128.72715276263204,
        129.20262182447198,
        128.98834755169884,
        128.8404041529945,
        128.15893509575042,
        128.76881289759456,
        128.80422924884223,
        128.88133966011654,
        129.05988123980035,
        128.6866059125514,
        128.61151343893465,
        128.7247190783454,
        128.68700194850945,
        131.08717180734007,
        128.56442207724493,
        128.9221498740783,
        129.53796918573366,
        129.14457063964701,
        129.0123139168173,
        129.07383658653012,
        128.44003933190865,
        130.504624276526,
        130.1423810325152,
        131.45846733110216,
        130.33886581123204,
        131.09618363229683,
        129.12832047749524,
        129.08011072636324,
        129.81131384379367,
        129.32335081198522,
        129.26570218914,
        129.1604125747575,
        129.2533184012831,
        128.71068642540394,
        128.84827633390643,
        129.47428939387945,
        130.35751837739625,
        130.47674074730847,
        130.84768505401482,
        129.4685149025493,
        130.71454960236255,
        131.12725537972568,
        128.98086432864127,
        130.5290043010882,
        129.27041959513542,
        130.06483268588966,
        129.252378667078,
        128.89653655084675,
        128.99252696781537,
        128.96927017105943,
        129.1942882221734,
        129.8195571710512,
        130.64919858558358,
        131.01010280666216,
        131.15326328305,
        131.74856533445077,
        131.4355529051709,
        131.0501245115094,
        131.89163171428984,
        130.83494527416133,
        130.99065694092997,
        129.14713476805815,
        130.33039880117715,
        130.8829940242683,
        129.3213848995003,
        129.26010346860065,
        128.61486873854324,
        129.3151725115175,
        129.67987362352216,
        128.65934690460864,
        129.45660702579522,
        130.46602471474222,
        130.86035498216293,
        130.69776704011122,
        130.78310135338967,
        130.2697271678248,
        130.82339386260725,
        128.3257800154969,
        128.7323319889267,
        129.58509032297027,
        129.19157571883966,
        130.89417541537338,
        130.76979746739255,
        130.14253161950754,
        130.56572182379193,
        129.43941375305616,
        129.42156943497721,
        129.41416417158777,
        130.24488046229794,
        131.35796774648009,
        131.18396577868012,
        131.07119494452863,
        129.0803841967123,
        128.75803016761492,
        130.52877587252425,
        129.86484193075034,
        128.939338936109,
        130.90992686654425,
        130.44538145209205,
        130.4728470053483,
        131.0376847432449,
        129.05310431474894,
        129.53872939624432,
        129.59230647144915,
        130.82204496029988,
        131.01121675347218,
        130.26840735817692,
        129.70202118614355,
        128.99733578882578,
        129.9501392667971,
        130.6064927137292,
        130.96936479665487,
        128.87042343711008,
        128.75403854291605,
        128.32043367008774,
        130.8686893759645,
        129.25402859762363,
        131.1250236656062,
        130.97159761585803,
        129.50965502074374,
        128.7435223521292,
        129.28938505257753,
        129.3053024052324,
        129.68632027566514,
        128.98942030201547,
        128.8658302185309,
        130.89797635926908,
        130.9871025623378,
        130.63282244720452,
        130.68279787655945,
        128.8809540809867,
        130.26772814120068,
        130.51891888794242,
        131.0439116598576,
        130.78073931699504,
        129.61022313310264,
        130.35857434943853,
        130.9476199946064,
        130.7406812708808,
        130.7138535540525,
        130.66435643526341,
        130.85094951615383,
        130.8780446119263,
        129.7990512940676,
        129.41914887106603,
        130.82557784770387,
        130.65823588240465,
        130.9448957285918,
        130.01106972677906,
        128.75578930198552,
        129.10845036185825,
        128.89329301682412,
        129.50110957663748,
        130.4668467103451,
        130.39419284042495,
        130.68111218909416,
        128.98402137673142,
        128.82090237902406,
        128.63730636427073,
        127.99565922724288,
        130.14952807028973,
        130.66852433328447,
        130.69530383627097,
        130.25663034080162,
        130.4722457150483,
        128.85597812005807,
        130.05056911965838,
        130.01560065122948,
        130.3143035219498,
        130.62840753908392,
        130.30323824805728,
        130.98157791669232,
        130.67103225475657,
        128.92733378443262,
        128.51344840116144,
        128.34361089313634,
        128.27831730697056,
        128.8335423897448,
        128.74943725755017,
        128.45000442240686,
        128.51780409407107,
        128.8164972595717,
        128.27472384366428,
        128.29920369334232,
        129.05112527352588,
        128.6286739639261,
        129.00926069955023,
        129.3363881762423,
        130.54823541077647,
        130.8669595420868,
        130.74624777192358,
        131.04253322763753,
        130.0036010820422,
        130.8215407923935,
        131.233637589044,
        130.56093633851887,
        129.88983904588375,
        131.2285276630071,
        130.09200005329566,
        130.3866994261517,
        128.52765335463832,
        129.63140751349673,
        131.08939187382134,
        130.49124959385188,
        130.80875602615217,
        130.29308458898683,
        130.23596045953238,
        130.16696357414344,
        130.2624672889415,
        128.74249341077436,
        128.12908321742185,
        130.0434906015148,
        130.21384601117347,
        131.33404505832704,
        129.9896344200825,
        129.97680391372236,
        130.29289464273316,
        130.51483663374455,
        129.16621134072645,
        129.98574744390737,
        130.14661519664125,
        130.48286113574653,
        129.86468742008455,
        130.3998521960176,
        129.9344438446733,
        130.68308051768653,
        130.6400609128629,
        128.89208129305894,
        129.5913086844538,
        130.68480486646115,
        130.38234248433486,
        130.30846740270076,
        130.5815778244854,
        130.59513530933978,
        130.24288411058487,
        130.24365042771026,
        130.63079495651806,
        129.85815860638385,
        128.74346955212198,
        130.14051297836923,
        130.82135609659153,
        130.32174778596217,
        128.52694676355733,
        128.35845982659689,
        130.10165027006158,
        130.4152939218685,
        129.11151218046317,
        129.3891907598862,
        129.98846167481133,
        130.4213417680423,
        129.76600651206965,
        128.73759021216378,
        129.93064903760373,
        128.37779893474814,
        127.49961417464162,
        130.22633392642933,
        130.04548580403556,
        130.5924257178365,
        128.55261940137441,
        128.38750073914588,
        128.32983579621,
        128.20883868391135,
        128.16591945045946,
        127.8133337329712,
        129.88729517090522,
        130.70719995267683,
        130.31505472988437,
        130.21210792793917,
        128.38211017818944,
        129.87621197283693,
        130.0280707703828,
        130.41818864350432,
        130.4392274473821,
        129.8209482215535,
        129.5798886920505,
        130.581481586572,
        128.96058887553852,
        127.99933730952206,
        128.1308974501045,
        128.36892105603295,
        127.73775028535354,
        128.87972071231584,
        128.08110122154446,
        128.12244253405012,
        129.8569861200775,
        129.65064118767557,
        129.54195790387263,
        128.5240273415894,
        128.2056985172683,
        127.65052177301916,
        128.3989204466914,
        128.26870747145443,
        126.99649533078505,
        128.00381253704768,
        128.39478370327296,
        128.33753168937452,
        128.76975785423204,
        128.0460299166032,
        130.10705284231037,
        129.88979458307912,
        130.73051587590345,
        129.81771818744352,
        129.77815330546767,
        129.80948820306153,
        130.46330427305324,
        128.5177908202937,
        129.51551438989625,
        130.44697129161986,
        129.55341465887787,
        129.71088307811473,
        127.93641548762682,
        130.25996939199473,
        129.78220402167884,
        130.034286670361,
        129.94799366765218,
        130.00376250835777,
        130.5146897557388,
        128.27753174604538,
        128.06901827562015,
        129.11081401259807,
        129.80490924418874,
        129.50028620457473,
        129.74883399879172,
        127.59187832634068,
        129.13297863568383,
        130.15069834948886,
        130.21717073515268,
        129.93733517111735,
        129.68354950878938,
        129.99344210128902,
        129.91227836979147,
        127.8947271886377,
        129.9269560365606,
        129.27211584139803,
        130.16599942469955,
        129.54036114646325,
        127.7874170127521,
        129.54994402425623,
        127.64776829262978,
        127.07690375507488,
        127.69991440547098,
        127.71179458077488,
        127.4880196043159,
        129.24961160034465,
        129.3519858290302,
        129.55550222346923,
        130.11441781037672,
        129.22982770034898,
        129.91178228432915,
        130.07622682517393,
        129.6749764631577,
        128.3899824338559,
        127.5461554882818,
        127.87610661394396,
        127.349895426991,
        127.61975613454068,
        128.62065482787617,
        129.56499338446702,
        128.92425881924046,
        129.196089848317,
        130.11726945550546,
        129.77564968495295,
        129.76013949032318,
        129.17304067144386,
        129.98307289529123,
        129.30616441438343,
        129.02911376074945,
        129.94166169305467,
        129.65866859266282,
        129.38197383174193,
        129.5734415543291,
        129.7447285684309,
        130.0099537648096,
        129.54572714738043,
        129.50721109832313,
        129.7661830308514,
        129.61647084646913,
        129.42330914523163,
        129.4037953394182,
        129.09675167389537,
        129.42867273269422,
        128.84577249986896,
        128.55698833710346,
        129.0324923097189,
        129.3632541187382,
        128.6452392051591,
        129.45203019687662,
        128.9741498446947,
        127.6984172743056,
        128.49398667723042,
        128.9505919277736,
        129.1077706926426,
        129.71422608888668,
        129.65508671027166,
        128.98439612698326,
        129.49851463186943,
        129.50008976370734,
        129.21183302179864,
        129.53761059327312,
        129.0970270993059,
        129.7065701201952,
        129.10420545134255,
        129.11315883148254,
        129.65762705308563,
        129.13306572904835,
        129.49182370936822,
        129.24288839316654,
        129.30482150612343,
        129.75143152613052,
        129.40129798719155,
        127.85499331907359,
        129.21547159696297,
        129.65941329510176,
        127.43022405799573,
        127.93629632040067,
        128.88623901304376,
        129.90587053765177,
        129.76377956913024,
        129.84821211258162,
        129.70685521612583,
        129.7175132810699,
        129.43163893802654,
        129.47657427835335,
        130.15618094737783,
        129.5540272118001,
        129.54252624715147,
        128.95823083116764,
        129.83044342899706,
        127.69656005550316,
        128.92535209726393,
        129.37763601219697,
        129.62021798960254,
        130.1458312243004,
        129.04206293937776,
        129.47049138631888,
        129.686233946319,
        129.46256491555093,
        129.7195155717382,
        129.2141792241471,
        129.3327966964135,
        129.26352099287826,
        129.92062140863666,
        130.0528013159479,
        129.0041382269306,
        129.23389353805774,
        129.49146993754772,
        129.08573130666477,
        129.0969214689152,
        129.41837952154324,
        129.15509182429358,
        128.58572931203292,
        129.11955186054047,
        128.6263484709935,
        129.449820747218,
        129.27253105622776,
        128.67471436100237,
        128.5353082375691,
        128.9068272799582,
        127.66107020030086,
        127.6089241099914,
        127.90196769677615,
        128.62883442074178,
        128.9154913168302,
        126.35206893190804,
        128.68694988134348,
        128.5456706186282,
        128.35681791602232,
        128.9332110394241,
        129.0683813144966,
        129.08772029622276,
        128.89745828711528,
        129.48070980687964,
        129.13660067596103,
        128.69210956549614,
        128.55000067383446,
        127.27142728203192,
        129.06921532633257,
        128.73456021291412,
        128.70299484094645,
        129.80812269461975,
        128.99718249627054,
        128.89374750011726,
        128.66926549069433,
        129.494595676152,
        129.3528389073563,
        128.455307921751,
        129.4883364008522,
        129.21268246420405,
        128.94547337651304,
        129.07543637467674,
        129.1442575312003,
        128.76461483829527,
        126.69665262715736,
        126.73207345614496,
        125.89263570358722,
        126.12074418302097,
        126.84193420904326,
        127.43923468845621,
        126.76741142482472,
        126.78943688330843,
        126.35553954396188,
        126.73037001390686,
        126.34535727350675,
        125.02671759342121,
        125.98796128382085,
        126.78452998688188,
        128.46834954558634,
        127.67521215114462,
        128.2471728066965,
        129.0071980935262,
        128.9540157523438,
        129.5618109983372,
        129.23901539911137,
        127.58685610571764,
        129.3947312598521,
        130.1403502036494,
        130.6602342377168,
        130.9826250840929,
        131.1180640104004,
        130.86649366786938,
        131.49202604028468,
        131.71798463043868,
        131.86545654505983,
        131.47413220052354,
        131.61007110345975,
        131.7880220297342,
        131.29751840971016,
        131.50848956320584,
        131.87161864462948,
        131.54301069583767,
        131.7932253760756,
        131.70950996017444,
        131.00854955648086,
        132.35062913385033,
        132.84762066641548,
        131.6116455667122,
        131.87251045823584,
        131.84200124596376,
        132.32272909652585,
        131.6230534287441,
        131.70656824555107,
        131.6936366764429,
        132.2919193289265,
        129.98357423436005,
        131.56034365697732,
        132.29468059460976,
        131.90730782815427,
        132.5023475286456,
        132.38801335256957,
        131.918531059039,
        131.9903676011304,
        131.4939813714654,
        131.92176021371515,
        131.8586457701862,
        131.98036697247343,
        131.57137105750587,
        132.02456833931828,
        132.4836443079547,
        131.79892565930462,
        131.86754076686577,
        130.04277268648914,
        131.2720249066659,
        131.73711099858323,
        131.89722725950168,
        131.68899712412585,
        132.1738931570123,
        132.05477490786947,
        132.06541852133105,
        131.78630939480698,
        132.284232576242,
        131.97037917296277,
        132.39691649156083,
        132.17816991264118,
        132.11012251925888,
        132.4738527232934,
        132.03989912409202,
        132.18839689125716,
        131.64859978417277,
        131.9471252440653,
        130.1917134785195,
        131.0262717267023,
        131.7976487871616,
        131.75508171301271,
        131.40614627425262,
        132.0783136005134,
        131.597594195665,
        132.07283926843246,
        131.6427809381911,
        132.4295427297677,
        132.20556036545443,
        131.82846062926774,
        131.7796824555991,
        131.1561745140541,
        131.8777453488527,
        132.05123157481552,
        131.82721102118148,
        131.63351481390586,
        131.37574499590778,
        131.75274862571885,
        129.00152560240616,
        130.92563642651893,
        131.8854953730308,
        131.61721910962683,
        131.63735152293546,
        131.73656349902944,
        131.67934688185647,
        130.86895546028487,
        131.66334338849384,
        131.52548065499502,
        131.59839179184195,
        131.39632155656014,
        131.63827408660745,
        131.2502834268321,
        131.20515905018857,
        131.62817490177378,
        132.29982170557076,
        131.2459461740873,
        132.28856360313517,
        131.0980837054966,
        131.7600340599486,
        131.52085818057475,
        132.0849441631282,
        131.57766495527926,
        131.92345652687152,
        131.36135428308089,
        131.4432225024815,
        130.29092324941666,
        130.8090344269422,
        131.40929249901782,
        131.54839911051113,
        131.17315286633425,
        130.92835673953653,
        131.62096013972575,
        131.79998322696935,
        131.72624298085447,
        131.61656780779327,
        131.68058388602734,
        132.21561466894138,
        131.10722908724247,
        131.40104499411862,
        132.0115632833076,
        131.44582957197275,
        131.72431111355056,
        131.6530856769126,
        131.05359792081094,
        132.02266148404516,
        131.93364888977112,
        129.89909003532776,
        131.4500523825175,
        131.68889142961729,
        130.00955793383363,
        130.0216801342119,
        130.0109513334736,
        130.88777922356567,
        131.5670302875283,
        131.76992515249674,
        131.8442984942966,
        131.8677127452709,
        132.42920300134398,
        132.3863963217396,
        131.7938974112031,
        132.60446899406526,
        132.25278764633165,
        132.10783358594986,
        132.074305619014,
        131.57480794548064,
        131.34134093225606,
        131.75140019321188,
        131.49764561085595,
        131.842497738233,
        132.39343554863115,
        131.9784447767155,
        131.91543250508556,
        131.41256989346616,
        131.7995222540615,
        132.10065972448166,
        132.0869131277358,
        132.8656587393959,
        131.8148011422616,
        131.99692600349024,
        131.3459248050536,
        132.73585032319323,
        131.80211852970808,
        131.84385327170912,
        130.20465882767698,
        131.51362339174136,
        131.88716603369372,
        132.423666525394,
        131.6119939070001,
        132.34843940850823,
        131.87356557183796,
        132.11159376598667,
        131.72695671802353,
        132.3823017166572,
        132.11763941611437,
        131.84153035233732,
        132.11260174503698,
        131.88112022326308,
        131.8799833582701,
        131.78444735964538,
        132.16362708421198,
        131.83294904293783,
        132.5595059178099,
        132.2434661209921,
        132.04013471035836,
        132.1615800538611,
        131.3685003332314,
        131.82944407822885,
        132.244976917879,
        130.02610535902429,
        129.5692793378995,
        130.11428971636272,
        131.44459141269868,
        132.0301384205989,
        131.28970039573838,
        131.96226539928918,
        131.75631600154665,
        131.5111665218964,
        131.6141425970629,
        131.51061357209838,
        132.02094452876344,
        132.39168133331367,
        132.19351365496274,
        131.73467765381102,
        131.99578807618545,
        132.27311242587857,
        131.51529249241506,
        132.12406280430594,
        131.63486589438304,
        132.15334896522478,
        132.11796629158178,
        132.26034444092997,
        132.31649566893398,
        132.14105924962618,
        131.9850131190793,
        132.10188243656543,
        131.84150994033175,
        132.266064008924,
        132.2599281110587,
        132.47696485756396,
        131.79544571713836,
        132.2484405619256,
        131.46210260083527,
        132.1449917196264,
        131.95307877536348,
        131.91963534580228,
        131.66699086165522,
        131.66741235044915,
        131.21397860235527,
        130.92602090948085,
        131.52338350655455,
        131.61483146205737,
        132.23538976497989,
        131.47180796581569,
        131.44926298918546,
        132.38003838364028,
        131.34828345868561,
        132.36078085337135,
        132.3032669089236,
        131.785432085616,
        131.59203639423694,
        132.3784148790775,
        131.8811229805168,
        131.45736373724708,
        132.39822592797245,
        132.4261923459359,
        131.73496356928948,
        131.85930377543875,
        131.37960561877594,
        130.99651655954324,
        131.823533779982,
        131.994586786548,
        131.35480582718387,
        131.50158704835198,
        132.85718061957022,
        132.01794569321555,
        132.7112148277218,
        132.49612274393417,
        132.24579811570854,
        132.8358735449487,
        132.22937584429403,
        132.33734157339276,
        132.41883844554565,
        131.9914778907964,
        132.39202861157113,
        130.94655520895384,
        132.01801483707658,
        131.93763393712885,
        132.1540706788678,
        131.94204376375995,
        132.2887818588439,
        132.18249250903554,
        132.05721440268732,
        132.08734475580198,
        131.80809545651337,
        131.73878555410047,
        131.7150708509825,
        130.13880999927176,
        130.54756771986104,
        130.1908048980325,
        130.2179030503133,
        129.3418742639592,
        128.84303973830527,
        129.35566391779068,
        130.17420112143503,
        129.77193516836894,
        130.11515244126176,
        130.82492777166962,
        131.03616698173028,
        130.34121132268902,
        130.987628232791,
        131.24420505149848,
        131.00811197732352,
        130.63022258049548,
        130.62023096494306,
        131.1227234464562,
        129.5148715140757,
        130.43736178864833,
        130.3567578911487,
        130.94842948112947,
        130.68328718130275,
        130.1718265059336,
        130.18058089552525,
        129.57330313354782,
        128.40647585319127,
        128.1049010609045,
        128.64321129991765,
        127.88796558787956,
        127.55273910167662,
        127.62868671806542,
        128.05542567453264,
        127.43618981612876,
        127.52986381815839,
        127.23686635439464,
        128.0667436157038,
        128.11757566658187,
        128.48194968812982,
        128.25432757325348,
        128.67347329091308,
        128.3538805579824,
        128.89976576253295,
        128.70949759111227,
        128.86065407282618,
        129.166667040764,
        128.81470218944108,
        129.0263353638982,
        128.89831731682585,
        130.05599828352626,
        128.96310356940754,
        128.76681438580408,
        129.2722355910308,
        128.33177344493257,
        128.80866445900853,
        129.2064358632782,
        128.89693873953655,
        129.0737328840258,
        128.07283118378433,
        128.75390966966307,
        128.72414758374825,
        127.7516929210866,
        128.1009857473864,
        127.92259125773064,
        128.5249708279634,
        128.24325066539927,
        128.62395566989906,
        128.9739667132322,
        130.24806482656987,
        132.4011088263618,
        135.05064046275749,
        137.9842036924323,
        138.58857374991564,
        136.83124591092704,
        131.7448805060995,
        129.23027480545034,
        128.14595193366833,
        127.12392933367978,
        126.91639829206845,
        126.88521413014402,
        126.47106855815248,
        126.33579010039583,
        126.14800506667129,
        127.00413338234857,
        126.25804503671093,
        126.32619333442506,
        126.26895297924361,
        126.61372363423108,
        126.64517286375366,
        126.70579120789773,
        126.33753136140317,
        125.76451113631524,
        126.13108258420016,
        126.22714734752796,
        125.9374440077747,
        125.47277872095465,
        125.44998424087132,
        125.76762486658454,
        125.78980872553237,
        125.81969996026004,
        125.49782560861198,
        125.29547105146479,
        126.47621422782028,
        125.93134097425543,
        126.02065709364155,
        125.85200513431235,
        124.16597294113711,
        123.95757651612907,
        123.16818877890917,
        125.2463895998824,
        126.12622198841107,
        125.54768302359543,
        125.94674451051509,
        126.49235857350327,
        124.94676684896628,
        125.19910443830436,
        125.1468897708762,
        125.09903209317879,
        125.21904806793266,
        125.71225324585201,
        125.61436240030082,
        125.41318791094801,
        125.07315027704944,
        124.826021548198,
        125.87950049997626,
        125.78417785552224,
        125.62272726099471,
        125.63954742141952,
        126.16201618194576,
        125.2782338045829,
        126.03122988632839,
        125.42548048816867,
        124.81487841988893,
        124.47016486311495,
        125.04909534463124,
        125.01127604098842,
        125.27706402633076,
        125.00584758457713,
        125.55782708051066,
        125.33669689771396,
        125.35645087640653,
        126.12548433694683,
        126.32983338143245,
        126.29807006769884,
        125.85468430898948,
        126.44550753134833,
        127.14526403780222,
        126.82134434169726,
        127.17828782342967,
        127.39388806785293,
        127.14800157966711,
        127.85839873702457,
        127.6168548162378,
        127.94591083913711,
        127.55266472352528,
        128.14523630174972,
        127.22596007044586,
        128.30101669012413,
        126.31168806262019,
        127.18163354089667,
        127.70020728006033,
        128.0727126268446,
        128.13178647339535,
        128.01423733882154,
        127.80053165825083,
        127.63442321002897,
        127.82608512449835,
        127.68351746358145,
        127.47558463059403,
        128.0331852427018,
        127.75633640583595,
        128.23993198638095,
        128.86262409719396,
        128.09275907774867,
        127.67417246739255,
        127.19616252371078,
        125.24444899212399,
        123.34304274523375,
        120.42214694642907,
        119.03097945035877,
        120.18836022129744,
        118.72363373598121,
        121.3564974627866,
        122.09930010936885,
        123.58404640163786,
        124.86007195865312,
        124.71406046739419,
        126.39856375486062,
        127.23604380105931,
        127.81104522656403,
        128.43701195658923,
        131.54422415718736,
        130.446365277514,
        125.14213321884631,
        119.41322439479424,
        110.73502620960109,
        105.12884657096063,
        99.61722511287529,
        95.18257446379013,
        91.93227523548346,
        90.33039385789463,
        88.32188691345014,
        88.498621164447,
        92.08391343638678,
        93.42507657831085,
        93.80860952556544,
        92.30441766793633,
        91.60638488577364,
        91.93029006946237,
        90.69818068563775,
        90.2714797316809,
        92.75313895303219,
        93.48718985244363,
        95.40532973185681,
        99.24974299647948,
        101.28717213745003,
        106.0991465992103,
        110.01924121850388,
        112.94630774575486,
        115.63438418012078,
        117.60750610519011,
        120.79681457785556,
        123.96669049746188,
        121.61997746117652,
        126.37779228910573,
        128.83383166404897,
        129.96530711141608,
        131.69763266757235,
        131.81101628464378,
        130.84058028662403,
        130.96173416486772,
        130.46032558542558,
        129.52336014129875,
        128.5402143513977,
        127.82491093487091,
        129.02316058766363,
        128.43582465614958,
        128.89141056809478,
        129.18346091601992,
        129.27799868227638,
        128.6575186817654,
        129.013859082769,
        129.17657662933715,
        128.56793812252033,
        128.10338545136503,
        128.0131481196649,
        128.50021162612913,
        127.77138425032962,
        127.40684721250184,
        128.53211152742506,
        127.21242337841336,
        127.49819466731705,
        127.4445353454589,
        126.93521837218466,
        127.31973855691236,
        126.3779248030704,
        125.52849441905087,
        125.48222513028246,
        124.78161820963996,
        126.18873150381025,
        125.59586274993443,
        124.78528002883844,
        124.74736518312734,
        124.21186568686396,
        125.48740884794898,
        124.38857890788898,
        124.74792133788854,
        124.52853034570012,
        124.29557630006646,
        124.12046221110003,
        124.26568892723007,
        124.97398620266338,
        124.79377621340326,
        124.87335409633748,
        125.0116931774998,
        124.79690087403137,
        124.80909765125804,
        124.69472076660782,
        124.53803474548069,
        124.78435447485592,
        125.3518779534464,
        125.02212340544817,
        124.95322439591469,
        125.53924577507303,
        125.06685156993267,
        125.55484641336399,
        125.65925200507064,
        125.87915907671433,
        125.5000179494514,
        126.17503006521258,
        126.16375192100615,
        126.02462817665257,
        126.57164199964616,
        126.97746156461729,
        126.72455018438635,
        126.65132796184074,
        126.96241211577153,
        127.22252647227013,
        127.13291240500612,
        128.25573918688627,
        127.87171148045736,
        128.6529073647078,
        129.06520911575953,
        128.1635346547186,
        128.39280596110018,
        129.09870810778455,
        129.20697962178477,
        128.87228080887627,
        129.57028050836624,
        128.93345312000798,
        129.39210633804774,
        128.8767077128344,
        129.23239456145035,
        128.84497842784918,
        129.69491859626302,
        129.12092848538327,
        129.86362097908105,
        129.72770697661954,
        129.98165159648673,
        129.53085371510375,
        129.77151247673385,
        130.0134618288891,
        130.1937967529109,
        130.2667691213015,
        130.29657419910825,
        130.47827664220927,
        129.87457499452228,
        129.8549392281361,
        129.89435080847514,
        129.46836442980236,
        128.81003104457028,
        128.6577654427515,
        128.8215483205537,
        128.76587881778653,
        128.9879800669347,
        128.4714482753234,
        128.86820793262672,
        128.93963503324204,
        128.6467953290366,
        128.50180806115702,
        128.88749394619794,
        128.59648679824642,
        128.78569751799103,
        128.7404088225187,
        128.41744887208827,
        128.4701736645608,
        128.7393948174853,
        128.14101049587413,
        128.2176516247218,
        127.85406445108994,
        128.4001356843124,
        128.1100559797452,
        128.13462120416386,
        127.71413297110763,
        128.33799527258518,
        129.16051489977315,
        129.71730230503118,
        130.05910557619987,
        129.92651956001464,
        129.7083897858796,
        129.90903266456175,
        129.58386732403326,
        129.78493783148556,
        130.13132892818945,
        129.58220018593548,
        129.64887617321244,
        129.72848796182208,
        129.50250908107472,
        129.96548709451756,
        129.44682094033112,
        129.602517117525,
        129.61883153965115,
        129.90768109503384,
        130.25064770428224,
        130.52976417424227,
        130.45028360933475,
        130.12558996120396,
        130.50181519056702,
        130.38094914222538,
        130.68171443503581,
        130.88634093115832,
        130.27233787158286,
        130.64775509242196,
        129.81604195167935,
        129.84119560103542,
        129.30030622769112,
        129.9032865627879,
        130.1097209786994,
        129.77086554237619,
        129.79122932151526,
        128.10323202898607,
        128.92429998110336,
        129.5202779873285,
        129.44572768094986,
        129.9012844998331,
        130.23285681679747,
        128.76333462998298,
        130.24460893663314,
        130.27802423225674,
        130.3330761581605,
        130.3876113101404,
        129.8341427762583,
        131.1669284566473,
        130.4094623689659,
        131.17927257799363,
        131.08007806424624,
        130.62760530279635,
        130.8546499950248,
        131.55065387971763,
        130.96438175355047,
        131.42583896035077,
        130.50655101958802,
        130.49329864125136,
        131.42117649510573,
        131.85091808403658,
        130.8138987771115,
        130.6806330926003,
        132.0516497418218,
        131.73406577918706,
        131.30043268724603,
        131.60359051829096,
        130.87244381045687,
        130.60324482612435,
        130.78363911043638,
        130.06991337340563,
        129.99773060744468,
        129.88549676789125,
        130.9507948012959,
        130.89571040807604,
        132.01418695599486,
        132.22654394424453,
        132.03106952200886,
        132.62600557051238,
        132.12761937639513,
        132.09947080314845,
        131.601168394635,
        131.54468535759017,
        131.99327176095414,
        132.12964722582336,
        132.20872201927062,
        131.80113519218955,
        131.80889976005352,
        131.90979645018402,
        131.56449255073332,
        131.9596814648662,
        131.6655633495722,
        131.8806709974772,
        132.48734419323947,
        131.78421377194255,
        131.8209930297097,
        131.82300695997935,
        132.47610936435635,
        132.4780651092482,
        132.42437995854132,
        132.1619698331354,
        132.34486764321045,
        133.16416826864906,
        132.67811416369784,
        132.23987350337427,
        132.89006297120366,
        133.40506753585564,
        133.09045642114907,
        133.53273301152774,
        133.62516384948594,
        133.49196371282238,
        133.49863633777014,
        133.92464963954708,
        133.98300407252364,
        133.39316812957298,
        133.2816638020832,
        134.0258917959131,
        133.99554131899023,
        133.70179156775654,
        133.22245412708787,
        133.88094458368658,
        133.56746505594143,
        133.51936657354375,
        132.8586591112344,
        131.97050381814458,
        129.6662483560056,
        128.94543810974855,
        127.82870354263854,
        126.07056898676429,
        125.38698987937853,
        125.21732032633949,
        125.05690086479335,
        124.3531709422828,
        124.69079771585349,
        124.0840151908779,
        123.39948396973676,
        123.99197826236676,
        125.52504217367279,
        126.01282905781596,
        124.65241221161823,
        124.41570633428732,
        123.61605513536723,
        124.12535652793491,
        123.69017355970823,
        123.68266591941916,
        122.62683859640354,
        120.9535442075188,
        118.75866487101435,
        117.45960884120394,
        114.98295734639935,
        113.51958438220034,
        111.31852571507828,
        110.80627189583431,
        110.09832406984589,
        107.82374122318204,
        109.31253561491326,
        107.18037110401656,
        106.90774003793182,
        108.36006062510253,
        111.89783853589759,
        112.31134675379153,
        113.2029301674905,
        111.78934495621687,
        112.50206385610599,
        111.65538034351457,
        103.01162734629324,
        95.98935302356307,
        92.08539326135032,
        88.53401938275294,
        83.06850979055346,
        78.85825380693902,
        77.51342043143676,
        76.58074759970125,
        79.47659718322288,
        81.95869102694027,
        83.98387219243257,
        86.37743090676817,
        86.96823079695409,
        85.68913121402363,
        82.82718167281239,
        80.82569697609394,
        78.78241748046663,
        75.35936157775988,
        74.76179825431868,
        78.52373191515552,
        82.39244789656442,
        87.34405779729649,
        92.39561485826576,
        98.70965270614099,
        105.31001730819528,
        110.17587758488861,
        110.83686356755005,
        111.51027545490862,
        113.57433900776596,
        116.25041109405329,
        120.06966385908082,
        123.06846890881368,
        124.84027122778818,
        124.5668965008892,
        125.41923172682577,
        124.70390617562708,
        124.42617365846661,
        124.7477929685611,
        124.27546400831538,
        124.69980937547915,
        124.41046503271411,
        123.6234333067422,
        123.7396163222492,
        124.1424586612559,
        123.22356063669771,
        123.24647577459896,
        123.80238296881303,
        123.13796884079903,
        123.74334183049866,
        123.31724695122485,
        122.03536687850624,
        121.73489673158909,
        122.40730271221682,
        121.78696753089801,
        121.61008569425894,
        122.1277662922392,
        122.08111612243546,
        121.32820609559396,
        121.88428795814046,
        121.28100763571776,
        121.94274012263422,
        122.04527052982363,
        122.01775849466149,
        122.53458641462919,
        122.97349500901493,
        123.077537739365,
        123.35596688955324,
        122.59956391859629,
        123.12094595123199,
        121.85851610356077,
        121.66648194033303,
        122.2637246719768,
        122.04547239661392,
        122.21257063917417,
        121.91639946529357,
        122.1289874396241,
        123.69833891202148,
        123.03423110570385,
        123.32655478818279,
        122.45615464102956,
        123.29864480211495,
        122.79458135695268,
        122.19396633912052,
        123.19305925795612,
        121.92597635546984,
        121.87379806028123,
        122.20203493542031,
        122.20234032087906,
        122.07114962510782,
        122.44630683834869,
        121.89535604304236,
        121.72857602317201,
        122.42539390026863,
        121.82904008721131,
        121.9425014457462,
        121.63563292803153,
        121.3198722740161,
        120.77890371814902,
        120.81808738074069,
        121.45832707267405,
        121.41309177557208,
        121.25226806950813,
        122.04455711197518,
        122.59821516969721,
        122.35463228260568,
        121.87383981127,
        122.39699320342751,
        122.02250158154408,
        122.12868016763838,
        119.98844817648016,
        120.09408962647117,
        118.67279217060226,
        118.92817895281556,
        119.26708607651616,
        119.94401400417732,
        118.42907068620836,
        117.86968756697955,
        118.89195080953161,
        119.39485475699641,
        120.78813737375698,
        123.13123454746771,
        123.27183822772061,
        125.96148296541654,
        127.51042692161487,
        128.21784501025456,
        124.23975836985186,
        119.36726308384529,
        116.92258677232515,
        111.49474681659382,
        108.48907587938012,
        106.65178996317654,
        104.95780272236456,
        107.25591431256625,
        103.3173809693543,
        101.35482307301153,
        100.21105600133829,
        98.23155308250101,
        94.70926179100614,
        91.09303168042292,
        89.96942382241062,
        90.38100510236826,
        89.83777194642899,
        89.5683376249332,
        90.82008924308948,
        93.67969625687887,
        95.46878595397652,
        97.21822247099651,
        98.13638048011855,
        101.90727435820132,
        106.5510277391912,
        110.29008530366566,
        116.67499853105775,
        119.46889866177219,
        122.38471883435643,
        126.53721901925744,
        127.48799084154292,
        128.90960111796008,
        129.8783935398619,
        131.1176567748187,
        133.56505734184643,
        133.53452977022584,
        133.5157470671472,
        133.92939228326185,
        132.75806185696229,
        132.819652068087,
        133.51817446932864,
        134.5457786184759,
        134.7668612703288,
        134.16215682606165,
        134.78076019892427,
        134.97042849681986,
        135.61978634811518,
        136.14760564477018,
        136.08460211812374,
        137.0744995808732,
        136.96951480501852,
        136.7017116371181,
        136.55361046055882,
        136.23886187574573,
        135.80124563214224,
        136.07404421067713,
        135.14052944272805,
        134.622234218503,
        134.23429678847577,
        132.92606263051792,
        134.0329845602237,
        134.14054123002464,
        134.6776955516151,
        133.6682582012411,
        134.23316141411837,
        133.78448140767298,
        133.48551315277481,
        133.7993273669677,
        133.4335858818856,
        132.80279156163422,
        133.1591648220151,
        133.61260902331205,
        132.6185468976214,
        133.40137501045388,
        133.66442867105064,
        133.02602458313953,
        132.9592209987875,
        132.8217337163696,
        133.00764026067174,
        132.45474998144456,
        131.23838524191467,
        132.1993269439402,
        131.40193227350667,
        132.05559018639755,
        131.2730849205607,
        131.80614298436552,
        131.88296013874938,
        131.47126643071942,
        131.3328657881287,
        131.5205659795643,
        131.40742812938586,
        131.40586182561594,
        130.82796726932767,
        131.07962917118786,
        131.59946037683844,
        130.87992402126423,
        130.8361038757821,
        130.54210123882518,
        130.9188563872726,
        130.82721660234063,
        130.79010359851014,
        130.40158362447488,
        131.0019483262803,
        129.93381138314024,
        130.43535303227287,
        130.8348461347895,
        130.0627468973712,
        129.91674224700935,
        130.63866344257823,
        129.91882515075002,
        130.20798895553304,
        131.00037479393515,
        130.54955450664656,
        130.1770109913721,
        129.8908436512883,
        130.54831054225957,
        130.14151822731924,
        130.51369279881797,
        130.72854756333626,
        130.56482595651423,
        130.0982582205183,
        128.01961146920596,
        129.56127447585013,
        130.30548378512424,
        130.7617199973588,
        130.2416923031068,
        130.35905051793173,
        131.3542263484249,
        130.88476652627267,
        130.66304525136746,
        130.68880972051215,
        130.86941692934062,
        130.74247360798702,
        130.46611801000952,
        129.97703158456088,
        129.93120945225346,
        130.12268947219837,
        130.98510805727636,
        130.22627027087412,
        130.49981259047883,
        130.30357125597237,
        130.60322519447533,
        130.37062188298603,
        130.57737783097167,
        130.64236656991457,
        130.51524202433723,
        130.16320902393431,
        130.80988857645715,
        129.88201503578418,
        129.94250748093214,
        130.19270168869468,
        130.9751948676696,
        130.69977607230786,
        130.7981561164478,
        130.78791662359018,
        130.78668464505213,
        129.99449253370022,
        129.09472973745778,
        128.44492952594052,
        128.42916059847818,
        128.23431293801292,
        127.06523339667713,
        126.12304290967398,
        125.58494801833955,
        124.88443173621963,
        125.61224314696675,
        126.16307136577906,
        125.6599544877195,
        127.14819705527509,
        126.52392128616442,
        126.86822676302945,
        125.97751462716938,
        125.7183704067884,
        126.11307352199161,
        125.99021965319426,
        125.63169305364465,
        126.07971364364293,
        125.65886539145829,
        126.91258104745361,
        127.36482202373439,
        126.35210724368292,
        126.29593074833073,
        125.5151325153197,
        124.34320429898273,
        124.82773357185063,
        124.62229492481377,
        125.17810619550164,
        124.80876633944987,
        122.74648370907315,
        122.68951371519596,
        122.29862509945991,
        122.74274997910028,
        123.08529185474534,
        123.38352642985205,
        124.56828287358319,
        125.02480281216289,
        127.54658964848555,
        126.91442823731639,
        128.59345129363325,
        130.93392285759057,
        131.46340350798505,
        130.83342947066996,
        132.27202757797124,
        132.04737039699154,
        132.38872003037724,
        134.27250533630843,
        133.65219433438224,
        131.14728561880898,
        128.38981218819117,
        125.83453297865432,
        124.1140126482351,
        125.00579196405553,
        122.32997175062185,
        119.78948860262315,
        113.55613839310965,
        108.55861542606235,
        104.84780736078135,
        101.40490000835351,
        95.84280432445176,
        91.92021743898687,
        90.76313647821789,
        90.35045626479362,
        86.55726705699023,
        85.89917393681387,
        84.3549145120628,
        83.60710516116177,
        84.78710286441373,
        87.20430259117262,
        87.51468092584746,
        85.72006896838894,
        81.28406210058591,
        76.78662539211892,
        73.82927804763798,
        74.31340385734951,
        74.90093313008167,
        78.45437817459398,
        84.89194649849881,
        89.18375430912391,
        92.42778170294933,
        96.75985962332685,
        102.56831048037041,
        102.21372390574967,
        102.04016991256853,
        99.67377991859169,
        99.44811261213934,
        98.41588267829682,
        104.71043214672059,
        109.16513227061625,
        114.71005388700998,
        120.83725151902802,
        124.82893914891609,
        124.58315320558792,
        124.52514334136261,
        123.58037057881086,
        123.14947665911332,
        123.5648406044519,
        124.02596036699659,
        123.3710427091198,
        123.60947588523112,
        123.83220484471731,
        123.29855142469364,
        124.26464156431017,
        124.22435895743202,
        124.07383443942598,
        123.93460683084166,
        124.35303845413561,
        123.87284494300489,
        124.69536452257957,
        124.26556251126055,
        124.13427428602353,
        122.47451325909638,
        122.6480635677855,
        122.95428007955195,
        122.4332027068421,
        122.95525565259635,
        122.9810973668348,
        123.01256103349209,
        123.1364221634288,
        124.90452002884022,
        124.671490490891,
        124.47000582585888,
        123.8343529409211,
        123.69621362134684,
        122.15176317824258,
        123.0501218415844,
        123.49455023647963,
        122.71506454808426,
        121.70080650122155,
        121.46554828601305,
        122.0726621024175,
        121.50006331238717,
        121.26475524420097,
        122.51035087133212,
        122.72452415167714,
        121.66629773337687,
        120.9912796570391,
        121.0559342343145,
        121.22374310245164,
        121.52669426000968,
        121.72602953395017,
        121.34150041014415,
        120.82345808348369,
        121.22539024999791,
        120.59582823670885,
        120.38710175992124,
        121.39108650161008,
        120.4104907756349,
        120.5592991968255,
        120.905726217083,
        120.80143286583048,
        121.29051669674149,
        123.48295012565782,
        124.08067064143869,
        124.7968751236244,
        123.52847407725558,
        125.15321382759421,
        124.71695845555216,
        125.3459357541684,
        124.78448989325561,
        124.99598073750346,
        126.20704767739674,
        125.96085178504758,
        125.28286721750678,
        125.75619012422789,
        125.93007594512488,
        125.79342893452262,
        123.83814691802473,
        123.26055605920875,
        122.36215845020432,
        121.27513992857442,
        120.10507681577388,
        119.6220105696292,
        117.91023032382247,
        116.21779593779839,
        117.24429915477121,
        121.1885020324737,
        120.45354898672517,
        120.56275279642627,
        114.35850834899814,
        111.44618323607685,
        108.19903133595095,
        105.03920933708488,
        102.76242765558985,
        104.63769567251934,
        105.58444950810141,
        106.56785879186725,
        105.49256979282191,
        99.12233682809197,
        98.83921512194765,
        94.59026981757937,
        93.18885476847628,
        92.09479454028754,
        90.20690935880229,
        90.80865540328783,
        92.46510878002637,
        95.75273128424635,
        100.74750991896583,
        104.36508557914327,
        105.22139436486792,
        103.92749037769246,
        105.2894902479696,
        104.91784818169175,
        106.63232394092579,
        109.23031603808919,
        110.84621874490067,
        112.3925495270775,
        114.57272039505445,
        115.51288696133521,
        114.92275624138414,
        115.75523214973042,
        115.65547846839601,
        116.46422480644557,
        118.1460916374301,
        120.41888291858928,
        123.01747350866525,
        124.15320975408297,
        125.01342014485414,
        126.02677416428303,
        127.26313174347214,
        128.04002837788144,
        129.66772776045508,
        130.74152965826343,
        132.1466247066497,
        132.82009058975078,
        133.29852207560273,
        133.16330063369477,
        133.02795134360233,
        132.66484405982197,
        132.14863073616368,
        131.87211630997712,
        132.7636984737379,
        132.30141819221583,
        132.3360951564394,
        132.1540250029256,
        132.0681733240291,
        131.61323990430375,
        131.4440384747038,
        132.042075361112,
        131.17052836853574,
        131.0848290421934,
        130.81618082635197,
        131.23256477010548,
        130.89886143763874,
        130.82688823031148,
        130.93376737820543,
        130.07146001111983,
        130.9709840901503,
        130.00677849064525,
        130.30750976595925,
        130.26919727658824,
        130.23117943154116,
        129.64616241593419,
        130.53115559317922,
        130.11840900164736,
        129.67653731649781,
        130.42039867146684,
        129.63755494383713,
        130.196367415477,
        129.3243108013718,
        129.43848107451444,
        129.17158379800208,
        128.42844247906845,
        129.11139852385134,
        129.1435206260209,
        128.0967371082025,
        128.4339769579412,
        128.84548008610273,
        128.7837955325969,
        128.6775868783828,
        128.61877019481565,
        128.80685861933614,
        128.55865362630132,
        129.15195825680854,
        128.43533042133146,
        128.78563354735184,
        128.07837522859805,
        128.31085313050013,
        128.3853366776197,
        129.10463963285827,
        128.65954100102337,
        128.85754520981973,
        128.58436736005564,
        128.7935193274006,
        128.4650711774389,
        128.7974367878808,
        127.99810249834088,
        128.6824873866281,
        129.11140911503526,
        128.79693401408838,
        129.16957494663185,
        129.23127924686594,
        128.74480925371623,
        129.09279956238333,
        129.38842044123425,
        128.620851469665,
        128.28008097636211,
        128.66062496334106,
        129.52980010596946,
        129.05565930680166,
        128.94612122249194,
        128.66730226813408,
        128.50885476191854,
        129.01131482518502,
        129.0859656769708,
        128.5896875798099,
        128.64466864072682,
        129.0500509647945,
        129.1513865804443,
        129.67085686303486,
        129.09700183184472,
        129.75971446200344,
        129.29104615121005,
        128.98371682620996,
        128.81856711705518,
        128.86983313942687,
        128.8177505688655,
        129.66635736627725,
        128.78196901716896,
        129.26592118957896,
        129.61758739471318,
        129.21198789650197,
        129.484117128945,
        129.92180690703117,
        129.26447464526026,
        128.56597185591696,
        129.51804692764583,
        129.40682863728904,
        129.57650773055002,
        130.1394538421618,
        129.67803552482147,
        129.63968220172762,
        129.68838889115878,
        129.44944295872767,
        129.8000309220614,
        129.76963453012786,
        129.72871335477487,
        130.24968936069516,
        129.63422341237842,
        129.63403034755447,
        129.4167829725457,
        129.77564537442052,
        130.05437323666672,
        130.32326653882131,
        129.916383417621,
        130.00673196568908,
        130.37936332278463,
        129.60394819459796,
        129.4876827314242,
        129.9129672893379,
        129.76394975330942,
        129.5387315293922,
        130.40129365190836,
        129.90604172011626,
        130.10909676475947,
        130.21995273786303,
        130.0528486312867,
        130.12181041220097,
        129.8382977606156,
        129.2938484314707,
        130.34260829007064,
        129.21317371556563,
        127.20561892408783,
        125.7062659107621,
        124.44577188652872,
        122.70072773274218,
        122.27658553058014,
        120.93941940180731,
        120.68590270566474,
        120.742093803286,
        121.14827267655609,
        120.76560644026335,
        121.16831381577207,
        121.8650006710465,
        122.23577443654209,
        122.47225225659221,
        121.92822370328969,
        121.35093391365074,
        120.81580357162713,
        121.68010703440835,
        121.98707063065306,
        123.38936065603176,
        122.28213792274678,
        122.22006609150398,
        122.68899755734707,
        122.78874581405246,
        121.2297917795848,
        119.91115677857881,
        116.47516290027008,
        113.90630990811533,
        111.03714920868097,
        107.96574037851506,
        103.87127028767136,
        100.410401745517,
        99.43951865741688,
        99.5145482837059,
        98.90130874939591,
        99.43327891044407,
        102.57285984193662,
        102.6044012904538,
        101.33219778688199,
        101.59116830509205,
        102.24572925592734,
        102.06289994562886,
        100.75059348452521,
        96.33874125570854,
        95.08684020614103,
        93.8775401144709,
        92.7042501949157,
        90.92148683461001,
        87.41065125885318,
        82.19169591276682,
        78.1447327017606,
        77.68518373232236,
        77.18889067437115,
        76.09421664880698,
        75.66980758101381,
        74.2822413908372,
        74.95259379880933,
        74.61619571811956,
        74.7132891673147,
        74.06639103182569,
        74.74684425624,
        76.20173640212889,
        77.54705967005856,
        80.21976014855143,
        84.17042678527362,
        89.42084054470767,
        97.82738134971538,
        101.4922250917766,
        106.33670025625226,
        112.0812556073455,
        116.85591256515227,
        121.90338324646436,
        126.458693482316,
        125.8899299222215,
        125.53958578683303,
        125.65203392884358,
        125.76333467695115,
        126.63754500518294,
        124.54431073285208,
        125.22967106652888,
        125.58919135387707,
        126.00852310660916,
        126.08330724119331,
        125.20911564202935,
        126.12349059887995,
        126.98281097608026,
        125.74260959115546,
        125.0558608158798,
        126.82207676832353,
        125.55879301941788,
        125.91098373473305,
        126.0295372162648,
        125.49936806026493,
        126.73378122326771,
        126.4363651462083,
        126.83151887593819,
        126.98166743994474,
        126.44806993152015,
        126.27892657783292,
        124.24313305172686,
        123.57962347355482,
        123.43848957964111,
        122.91930193034986,
        123.76406609040725,
        124.06362553129415,
        125.01040656236542,
        125.7153462207512,
        126.25148379052126,
        126.08140239750061,
        126.49902350915977,
        126.08871781712853,
        126.18178625092207,
        126.37015247474629,
        125.31870397934958,
        123.97018857206649,
        124.692684189029,
        124.83836794912037,
        123.42544822320801,
        122.3990734750242,
        122.97607276706724,
        122.31769309463611,
        123.21736633303281,
        124.13261047333154,
        124.57637026332335,
        124.97215136819442,
        125.3360499538798,
        124.29951721222754,
        124.42113057499937,
        125.41958469646936,
        125.10830702564823,
        122.11277108582496,
        121.77739691690505,
        121.14129225739515,
        122.91375601235518,
        122.45012250624715,
        123.2865150824318,
        122.57069206264165,
        119.94547051675205,
        121.74870709267125,
        121.80000902408553,
        123.4695922305249,
        123.33561425422278,
        126.06726501091728,
        127.02877341554309,
        128.84421650783665,
        126.9843062981919,
        123.83127964791072,
        119.14493230154073,
        115.85624957799709,
        108.89846208673114,
        102.9537261140528,
        102.477125584537,
        98.10162977346833,
        97.16655598571315,
        96.40310469043872,
        94.94642034069095,
        94.73983326047616,
        91.88192045084158,
        89.30093458798672,
        86.08108719914236,
        86.79196325073187,
        86.97686808613268,
        87.29148497222725,
        88.6347083179896,
        89.75533653818647,
        91.91849993249652,
        94.76929995265678,
        97.66225412412935,
        102.09487852624493,
        106.85460982171188,
        111.59030048885255,
        115.67622192029589,
        119.1144724899415,
        122.13459916387474,
        122.00052300510997,
        124.30897373689035,
        125.60168892775172,
        125.54843314822045,
        125.80217921043324,
        127.50681798732387,
        129.80728016425235,
        130.60876659741177,
        129.98242772346654,
        130.58241833825647,
        130.58142864718846,
        130.47998060969482,
        130.70148025554562,
        130.9143203093833,
        130.60002095223243,
        130.19891805712965,
        129.95193665657973,
        130.3483747671198,
        130.23630608535578,
        129.87555905439882,
        129.67480589179823,
        130.40266225683422,
        129.46728524175253,
        128.75697800518557,
        128.31985057023863,
        128.34394278712324,
        128.2399205910719,
        128.05722312988723,
        127.54950188339095,
        127.93425661287652,
        128.2770487230083,
        127.6763583978659,
        126.67321769654497,
        127.03486874574243,
        127.81769112197966,
        126.74420874347746,
        126.75078214053504,
        126.1349931777179,
        127.04335896792945,
        126.9260376663439,
        126.29504265051278,
        126.40062411346109,
        126.10558840904493,
        126.48558924258195,
        126.35201932664361,
        127.0276695797244,
        126.33873051817022,
        126.42489113256933,
        126.3694994026905,
        126.95272390774498,
        125.93203600581865,
        126.702855209114,
        125.79300339533161,
        126.15009401985338,
        126.63150688305562,
        126.38516530036456,
        125.91561327630387,
        126.61295380616369,
        126.34793618553061,
        126.8468507405551,
        126.361374970983,
        126.83152288558354,
        126.68462291655668,
        126.20351865505174,
        126.38207648593591,
        125.2805442266185,
        125.6967274163976,
        125.46383941428932,
        125.86551935809072,
        125.41527240788491,
        125.37280727423074,
        125.46108723424263,
        126.3160080157992,
        125.6566700710844,
        126.06721207092964,
        125.47402322611528,
        125.97587820166116,
        126.66459801763835,
        126.95694587615826,
        126.33580355771522,
        126.2497550204425,
        125.36107427300236,
        125.57927627449965,
        125.8607335180683,
        126.04990090381828,
        125.1992265901228,
        126.26907451847215,
        125.40079387658308,
        125.6537518981175,
        125.81512308076455,
        125.55138735172264,
        124.81519932949865,
        125.00327088708393,
        125.89105487919556,
        125.91086772649254,
        125.08266551255578,
        125.83259513682881,
        125.5964426469586,
        125.47982326187213,
        125.39333544544914,
        126.5348617558714,
        125.770746204036,
        125.57805902901991,
        125.23025668071122,
        126.4539276012509,
        125.24211541315823,
        126.35004883538343,
        125.64377726824601,
        126.56347895701718,
        126.20544599947992,
        126.05013549996788,
        125.91838836041346,
        126.59949583814765,
        125.95372749160826,
        125.99445020299845,
        125.43528886488811,
        125.85647361221423,
        126.23647401975451,
        126.52523065987931,
        126.02152578124955,
        125.87412234759215,
        125.87787212015668,
        126.19367832841588,
        125.50021640466716,
        126.17924152813497,
        126.24654412722995,
        126.34269698110771,
        125.86531106692952,
        126.46603189395536,
        127.06040462331217,
        126.31236207259843,
        126.42714256876862,
        126.3394156720903,
        126.32275732591297,
        127.72807063247295,
        126.8541810930217,
        126.22340458161142,
        126.75380879594246,
        126.53716145680053,
        127.22894448400419,
        126.82775059169728,
        126.60422698379331,
        126.10492842755056,
        126.5763300459119,
        126.92266946463667,
        126.33357541628236,
        126.03537062248522,
        125.52194904867991,
        126.36533955509934,
        126.28577767881332,
        125.87901415560168,
        125.87691800579763,
        125.88037890646333,
        125.67887913704688,
        125.83528596598094,
        125.76518635643211,
        125.75864925407743,
        125.51709798627307,
        125.25279242326341,
        125.56917786948944,
        125.54280859831705,
        126.22024222903458,
        125.98782222350629,
        125.43008372449394,
        125.42214649125668,
        125.74763244075481,
        125.35645635805008,
        125.86921043059851,
        125.40904506772826,
        125.75081068948808,
        125.6728082727502,
        125.72431082036053,
        125.99354727789157,
        125.89624098286983,
        126.65873363819718,
        126.23487742226479,
        125.70337330668048,
        126.43516936334677,
        126.52232930035046,
        126.13448192290198,
        126.8227972426133,
        126.51856252561852,
        126.15818367236729,
        126.02101381601516,
        126.51838121624226,
        125.53248049344558,
        125.41260422571322,
        125.38905254843914,
        125.87033194762672,
        125.4928435149173,
        125.34196698337082,
        125.36314833137068,
        125.30682982552281,
        124.641311147867,
        124.8102666755925,
        124.92271737329922,
        124.83629467372486,
        125.13945034224693,
        125.34415932478392,
        125.55232170678484,
        125.34597420052101,
        124.9288535219042,
        125.21006270052949,
        124.71996862377469,
        124.61363026987065,
        124.92192428347687,
        125.23503116171193,
        124.95078127410429,
        125.26602285109169,
        125.6073540753212,
        125.73588513304453,
        125.5097043738214,
        125.34657150421559,
        126.19646277983875,
        125.21014572661605,
        125.59671850528781,
        125.64067121897197,
        124.6379115754293,
        124.43377505541494,
        124.65102151028294,
        124.60798184599227,
        124.62443715924537,
        124.70300485540203,
        124.45199952865991,
        123.50107318236626,
        124.54661729572317,
        123.51179411801469,
        123.1195281964619,
        123.78525375478759,
        123.36303492196745,
        122.97096187141211,
        122.89113593093599,
        122.67249656313,
        123.5455058466404,
        122.44336156477634,
        122.83344724389015,
        123.25490071051951,
        122.07161383327586,
        122.24528161035808,
        121.3729569198952,
        120.31188102615211,
        118.67705246712428,
        117.95580178703027,
        118.03441557227228,
        118.36008078988732,
        118.79615111781405,
        117.99044680379234,
        117.0253528912044,
        117.08560793841325,
        116.76253715337218,
        117.22298876408699,
        117.51698584310249,
        115.81313698234825,
        117.00519532362381,
        117.35751204324052,
        117.19998386183383,
        116.63601759593266,
        117.46286779408344,
        118.61608145505166,
        118.94536148715848,
        118.14690031787666,
        118.32980302872453,
        118.02595787778777,
        118.27493442158428,
        120.68991647224517,
        119.05621240727292,
        119.59501841724533,
        119.10050823996389,
        117.68695940526204,
        115.04623255719463,
        113.74577527833154,
        110.41891985917373,
        112.00062108075063,
        111.48004425379071,
        111.14433567297192,
        113.12217566584364,
        114.36639335490396,
        115.67120353844612,
        118.54351187286046,
        121.70084111508513,
        123.18763446014775,
        125.723957011608,
        124.24793808996417,
        123.79809803663639,
        122.1981500112116,
        118.13420274246063,
        114.02018226858672,
        106.30565760392442,
        100.70737430178464,
        99.52145063538615,
        95.63417962013827,
        92.76101102093769,
        89.20934280874823,
        86.80585703124993,
        83.30983796220745,
        82.8555329644787,
        83.37269530684023,
        83.78771013863944,
        84.22928711144668,
        83.15985651252639,
        82.14889310352766,
        82.79161529840547,
        81.19840641346673,
        81.55183662604816,
        80.20722832948336,
        77.52312499924442,
        76.20485748799588,
        73.2507374720526,
        72.79849681565976,
        75.95126698819055,
        78.88603694727061,
        85.45773179560413,
        93.36863418723475,
        103.71873618141406,
        108.28296578341514,
        111.24467162775001,
        117.49698313462882,
        122.31451606326499,
        124.82288014840272,
        125.46335690022491,
        125.88901869746906,
        125.15442822128927,
        125.76039144052555,
        126.0357019031582,
        125.63209200415272,
        126.06265175143061,
        125.15073012815411,
        125.26102011790286,
        126.31513693372297,
        126.3625845611944,
        126.58192968014845,
        125.95884032704494,
        126.36447083672309,
        125.67962729842561,
        125.61754082992408,
        125.53664074563846,
        125.61177673749447,
        126.00671496502893,
        124.39179502443217,
        124.54858730967013,
        124.44190631015806,
        124.1827326592292,
        125.1050162370966,
        124.90061973842568,
        124.11476305017828,
        123.73713612854462,
        123.58835027455447,
        124.23749816610885,
        123.02202618632384,
        123.62083827491576,
        123.61396207456114,
        122.94657131118655,
        123.44508412771917,
        123.6033178264431,
        123.14345370440488,
        124.4609400904772,
        123.86070398796292,
        124.74080655590086,
        125.00032912090792,
        125.97090461968308,
        125.67600155915089,
        125.69517365239433,
        124.77774365987418,
        121.97092609639935,
        120.09495441837558,
        119.46953057198537,
        120.62817666511066,
        120.79083672673605,
        120.26339891606082,
        119.459189807719,
        120.19858136671563,
        120.18454692238807,
        122.16206109994317,
        121.0894855159005,
        121.17316914579482,
        122.19156142015683,
        119.20747337657767,
        115.49494165406283,
        112.66381871377875,
        107.71858140884159,
        102.33944082716484,
        96.68989293687136,
        95.03912036245362,
        93.70831235509333,
        94.39005568938076,
        91.44832747465942,
        89.3474598515722,
        89.74157768862321,
        89.82449218748116,
        89.06059567107094,
        87.87538190601437,
        85.29068757022792,
        85.27588505485107,
        86.41746233429606,
        87.90043976834558,
        90.221641577412,
        91.83843499076382,
        97.14418746681946,
        103.30885006952276,
        108.74434685120738,
        115.23134407981588,
        116.05080537031506,
        119.22743999253245,
        120.29025298815854,
        121.89106852626398,
        121.79382696536022,
        124.33571136361529,
        124.40523238408899,
        125.92363519371246,
        127.12568544959501,
        127.07338732004054,
        128.57261904090703,
        128.79927136487285,
        129.49609249282304,
        128.65133845555127,
        127.37005225479643,
        127.845648888622,
        127.80797999997192,
        126.78126532021027,
        125.97285544139258,
        125.31285637702467,
        125.26256803568444,
        126.5662494164739,
        125.8369097930895,
        126.34487772934423,
        125.17189865247894,
        125.71472829740546,
        125.76703128552526,
        125.97096816827161,
        125.52363078398511,
        125.57960683034258,
        124.80092677292994,
        124.60544351416571,
        123.95163089283126,
        124.45134619533276,
        123.29161315790168,
        123.61024665740838,
        123.48222843118829,
        123.53006084481065,
        123.99918334157378,
        123.43124646784345,
        122.98707606287817,
        122.97604784050868,
        123.19965435724957,
        122.68292052444004,
        123.26841508635513,
        122.5854583536736,
        122.46941733522726,
        122.27751565794556,
        122.62389608052874,
        122.38028723516243,
        121.94399045018324,
        122.79109249809633,
        121.94478591762895,
        121.91874366757318,
        122.02278288923652,
        120.76060670317935,
        120.64134817391377,
        120.6010689877325,
        120.71248574188576,
        121.23177675690356,
        121.53044880052722,
        122.06731882768747,
        120.1591432994419,
        122.20377134781825,
        121.491827731913,
        120.70491323490839,
        120.14065030766862,
        120.31691430463063,
        120.64518257118041,
        120.67518046148274,
        120.6176280169073,
        120.252782146102,
        121.34244089442075,
        120.52899047926857,
        120.50298607991226,
        121.5821990843407,
        121.52196280651899,
        121.6548655868623,
        122.2731417433811,
        121.2580570549606,
        122.06155910411235,
        122.14755888855186,
        121.86460507436571,
        121.8193524935373,
        122.24461151755891,
        121.59149845647559,
        122.40247065125719,
        122.76419607174716,
        121.83250350084548,
        122.22525899544216,
        121.80176823272016,
        122.18760336351741,
        122.03731009111237,
        121.87849469235563,
        122.07258779680706,
        121.62095849764658,
        121.75102523008279,
        122.02421767819249,
        122.37520283253156,
        122.01274447563688,
        122.24985632889313,
        121.85907610795127,
        122.14330404629592,
        122.40251720526301,
        122.41333347833769,
        122.51210460044264,
        122.28590097399847,
        122.6535494362996,
        122.1818241257132,
        122.04379539749246,
        122.42765697934486,
        122.02463579841681,
        122.78460904427509,
        122.11242219682856,
        122.31066287181991,
        122.54335168569564,
        121.94530324039523,
        122.0839629806373,
        121.96779767192113,
        121.8347000769674,
        121.82218201905506,
        122.15209416184477,
        122.53216342146001,
        122.042847918022,
        122.02244686588199,
        122.4024673748502,
        122.15257453111543,
        122.25548103151975,
        122.18971331234312,
        122.156077045854,
        121.49487124611484,
        120.87590477610942,
        121.25526648418061,
        120.8866752779632,
        119.50080275631494,
        119.58792755946287,
        119.56697084552158,
        118.68127875732874,
        118.52011516303844,
        120.23044180489038,
        119.84639871554688,
        119.4712710160086,
        117.36946137792435,
        117.96208862016354,
        117.13436351747748,
        117.41432821439217,
        117.49636474079355,
        117.69562831861658,
        117.69438900325437,
        118.3524825288172,
        118.91529181754868,
        119.71183285308125,
        119.70970757987764,
        121.08947813142157,
        121.52195706399864,
        119.44336446335282,
        118.60905708277195,
        119.57065477148282,
        119.17565149828121,
        118.45249727579275,
        118.65169347571523,
        118.88371243851161,
        119.84343949689139,
        119.73216421661043,
        122.48000173012004,
        123.4107869263114,
        126.12445884632162,
        128.68927364708213,
        129.50203051776546,
        129.1008957891184,
        130.72089417120216,
        126.26886284712171,
        123.01886319785203,
        119.39677982834972,
        117.62917622821304,
        113.91736677657813,
        113.35905668479813,
        112.9582496340495,
        112.32661981683101,
        110.18458024828195,
        106.82691493563705,
        105.72235834192213,
        102.45645539857723,
        101.12606643645033,
        100.49171038012918,
        97.15910796383817,
        94.89554525822759,
        92.43922295998107,
        89.54800804931878,
        86.84879083929647,
        80.75838020724684,
        74.52945996004254,
        68.4717455455951,
        63.971634472447825,
        61.78694214085658,
        61.08067288738592,
        58.95387740486035,
        58.434188615379725,
        61.78394799832947,
        57.66898862602275,
        54.82906175376313,
        56.2657964340519,
        59.514298321757224,
        60.186426861242474,
        63.411775848631436,
        68.51664279388253,
        72.57164594508863,
        74.13504366883518,
        76.52302842878997,
        76.7201529896111,
        77.25360785500159,
        79.09089544267489,
        77.90132174660314,
        83.04411168958396,
        86.99649015741336,
        87.15455052630689,
        86.93141239906126,
        91.26135010782816,
        98.76022456307068,
        107.6179591055223,
        111.2724795599697,
        116.6540815489969,
        117.97091380893401,
        123.16500018291696,
        123.43335069387463,
        124.11211670334718,
        124.58830374329058,
        124.56242895294828,
        125.71806914695243,
        125.78617797031042,
        126.30709107617452,
        126.57464371290122,
        125.87684585712583,
        125.78876435444676,
        126.22525962845084,
        126.61309745644344,
        126.55832232434719,
        126.2544887852526,
        126.56031634690981,
        125.45601942235983,
        124.84140024388603,
        123.89211441197956,
        119.1217936021717,
        119.69255080195286,
        118.39298235180694,
        117.99554046360208,
        117.30182393523152,
        115.91606975283312,
        116.26357844490661,
        116.4624548737954,
        119.19736105617953,
        119.29366310257717,
        120.35232007810689,
        120.68035781588122,
        122.08669903162367,
        123.41316160990065,
        122.09821228339987,
        122.52284970958685,
        122.03100728714438,
        122.41769923965899,
        121.56997644446923,
        117.59623589185222,
        114.19222580562581,
        108.61777126243747,
        105.0689235703787,
        100.89980792250336,
        99.18308846650177,
        99.9977231231866,
        97.63830574994498,
        95.63487589592948,
        93.6883430844519,
        89.3451102878323,
        89.77221449143094,
        89.62476561560399,
        92.07023364728715,
        94.91350617174635,
        95.1201671003674,
        93.0202401620239,
        93.6682899245645,
        91.42941440078249,
        90.79982239732038,
        89.11890153154584,
        88.4741192570145,
        87.63954997037712,
        87.96859520788296,
        89.57704999728733,
        90.64554639549395,
        93.32206184968618,
        96.2390048935874,
        100.36010303806054,
        105.34278987147948,
        110.74768369006655,
        114.30096377746088,
        117.67481837879704,
        120.03964373367987,
        123.1342580362107,
        127.99100730591445,
        130.05439884062872,
        131.85243850111416,
        131.266681463375,
        131.82417965374017,
        132.23921001451285,
        131.56818286069182,
        130.0173687652456,
        130.35021039178173,
        130.43485210973944,
        129.61561556486586,
        128.1365520186717,
        127.88328059042358,
        127.24888848642055,
        126.30930802049616,
        125.4507921126482,
        125.30337223998536,
        126.00382495870497,
        126.22045791555021,
        125.99960047094908,
        125.65535313241745,
        126.8885732916267,
        127.13471901807429,
        126.35545376017545,
        125.66718811529324,
        125.71368003436842,
        125.24376202770276,
        124.6248443216864,
        124.36660228141493,
        125.2143059465443,
        125.60927942250868,
        124.91395474777954,
        125.09516340690566,
        125.07586568493196,
        124.82440166289066,
        125.034597474348,
        123.9173843671003,
        124.55169742013854,
        124.7160171244052,
        125.49447168301495,
        124.92519501342778,
        125.00196351627254,
        124.49526226187909,
        124.00749465442343,
        124.1184256108204,
        123.88513535749324,
        123.91864851850296,
        124.0993523210184,
        123.53017832033717,
        123.36312370691167,
        122.60348744291016,
        122.92185637747681,
        122.9545265897251,
        122.83039068642965,
        122.59765076624659,
        122.69959900358168,
        122.6483597533593,
        122.43811226146984,
        122.02666275306514,
        121.82033872274371,
        122.01270766500771,
        122.36616294241485,
        122.19081312973884,
        121.93307051232883,
        122.14956142491415,
        120.4969312364848,
        121.46300225649028,
        121.04949803834012,
        119.73014538868705,
        119.58069148392475,
        118.81256990031123,
        119.40362404348089,
        119.08584907587786,
        118.20216658815804,
        118.86372999609367,
        118.30693218086135,
        118.63064900354767,
        118.62397762968386,
        118.2262416375975,
        118.47598557671385,
        118.04406005557128,
        118.70118885358178,
        118.17826182659117,
        118.5619446855709,
        118.02671467759414,
        118.60791947656206,
        118.39127330313678,
        117.61868995677486,
        117.84419917013214,
        118.55975554791341,
        118.12605911404009,
        117.6438227297852,
        117.79865814532877,
        118.45073470384827,
        118.73034871108324,
        118.48979163908659,
        118.88396030297248,
        119.05512455470064,
        118.4127782005007,
        118.72840480756295,
        118.91415145798032,
        118.76871650208943,
        118.14073381583549,
        118.88533374880565,
        118.88235118807572,
        118.9888865711949,
        119.53913563995991,
        118.47407596152505,
        118.90036084334709,
        119.17702987410807,
        117.62737399315797,
        117.14240395396018,
        116.57771637066388,
        115.35403719283674,
        115.18283607639837,
        113.47381093625542,
        114.1128975255707,
        113.54841614747235,
        112.91990315339199,
        112.64248788850875,
        112.10331585761179,
        111.17640619486933,
        112.16184099715903,
        112.90899330169249,
        113.20576343435701,
        112.62951906334506,
        113.70689734595959,
        114.47471357884228,
        114.42820553195777,
        120.0894305453747,
        119.09184226328524,
        118.7695841910275,
        120.55644814901763,
        118.45874361049776,
        118.95010781077511,
        120.0648342056568,
        119.7519161407717,
        119.77771593779836,
        120.6422443294442,
        121.13791626665073,
        124.51952288667599,
        127.90794189396131,
        129.91370186269424,
        131.29785785163284,
        131.86056161610452,
        132.59464151352572,
        134.43916294191266,
        131.14776012467289,
        128.90975017394553,
        124.40304978984618,
        121.23521371973555,
        117.09528922672509,
        117.86965916511622,
        120.0567891737854,
        119.43177207108283,
        116.93061188192485,
        116.72175906198557,
        113.11798840275198,
        110.54048997287394,
        109.97741598665624,
        110.07059465109727,
        107.72699074756832,
        103.77523493836007,
        101.64298978321501,
        98.55020241715529,
        94.81251113662388,
        91.53808513816084,
        87.15114937781817,
        80.55480800086741,
        72.10618426726329,
        65.20121707604956,
        59.42980355034332,
        59.229255845471386,
        60.25054347141287,
        61.6791971318279,
        61.94705547117687,
        61.48992506481832,
        55.85282231302092,
        55.24475720274489,
        58.411279224266885,
        61.28423820368715,
        67.18888394838974,
        71.34988315398482,
        73.08348823187231,
        75.69081921075768,
        75.90571549643356,
        75.14313372101942,
        76.23808278808593,
        78.66881596576376,
        77.47932099964774,
        81.69711943894369,
        83.96572045571857,
        88.96526420340507,
        96.55316509679459,
        98.87183955257662,
        107.3298598604732,
        115.1918171291587,
        116.85927948856222,
        123.28831073374597,
        123.7877250223167,
        125.97464595188663,
        126.04002257653997,
        126.9472671293283,
        126.47674231272441,
        126.14987471465396,
        125.5803008929111,
        126.26436660215477,
        125.36100729962867,
        126.01008566436127,
        125.09054466839082,
        125.24445036280737,
        125.41409966218373,
        125.07107468204734,
        125.07230577118158,
        125.06205584255851,
        125.4070174947851,
        125.86107890886527,
        125.10326388884657,
        125.38571898339819,
        124.38974175188939,
        124.43544813259729,
        125.19825664805137,
        124.7982237332085,
        124.36942057285316,
        123.6365420939108,
        120.24482056244882,
        117.3554813502433,
        118.34170202127625,
        119.60529252777104,
        118.64866344708724,
        118.4382168760406,
        117.67380894790462,
        119.7150016955464,
        119.03559751407937,
        117.61870854011141,
        118.33803468901897,
        118.2820632276777,
        119.5421286919153,
        118.09075436886921,
        117.51369458649232,
        114.52151909361739,
        115.27491896034059,
        113.1735618726182,
        109.56353140537385,
        105.24393227277629,
        98.02029186449072,
        92.89300453688058,
        87.75955652696845,
        88.17866931632604,
        90.30953848137666,
        92.21397636818385,
        92.34818176991017,
        92.00836474626004,
        90.22614325704052,
        90.85409503455926,
        89.88785617714694,
        89.3331828443483,
        88.82896509495478,
        87.85617251957068,
        89.0573016636847,
        89.4901331472168,
        92.09318664942914,
        93.98653903103582,
        96.932748730418,
        101.42534499226932,
        107.26831436961501,
        110.56114181212904,
        114.44331060974561,
        117.80574048579766,
        118.87079638584159,
        121.80745123686137,
        124.29141197062253,
        126.39797420969732,
        127.99031521748769,
        128.54839828891187,
        128.8973853411759,
        130.14953683523964,
        128.33181099346663,
        127.9292446625257,
        128.66022255846482,
        129.06586758230245,
        129.9472680265451,
        127.63835594345716,
        127.47347792637002,
        128.36450508877272,
        127.11190043765694,
        126.01063381395994,
        126.57171129101836,
        126.38528800188226,
        126.36549020942519,
        125.83651489241795,
        127.4140104521919,
        127.23234087696466,
        126.0021724219459,
        125.64213058098633,
        125.35432297332083,
        125.94369232868398,
        126.54637949091891,
        125.10082362476189,
        124.89933408551424,
        124.96756524782204,
        124.63317902691175,
        124.95885796525621,
        124.5675858169032,
        124.1025918084592,
        123.76736559013668,
        123.6230231076557,
        123.49720372417377,
        123.5757675519652,
        123.18230294087674,
        122.63258516803197,
        123.21073285365144,
        123.21451110466731,
        122.55075954414635,
        122.91336183614375,
        123.2041674663494,
        123.2960650640875,
        123.30715200578024,
        123.48227288767796,
        123.5989743051378,
        123.5530717834425,
        123.47074044482487,
        122.6118703914606,
        122.6531912024982,
        122.96904186730194,
        122.90384851853042,
        123.40531686665096,
        122.74437844532038,
        123.24729024878917,
        122.9172255992869,
        123.17181028011561,
        122.64444741580986,
        123.05105836661998,
        122.32123368866796,
        121.83770811156755,
        122.16809329913711,
        122.3681127599989,
        122.85382969326122,
        122.64422543778578,
        122.54165838538846,
        121.79309775970783,
        122.11853691283126,
        122.75251430407815,
        122.54429751860995,
        122.3440813483344,
        121.64048573036928,
        121.3709847134342,
        122.08662773687927,
        121.17159817145377,
        121.98069869241587,
        121.78854468380958,
        122.20043311470867,
        122.0025825903118,
        121.51375883157871,
        121.22267170786711,
        121.42768418902902,
        121.46457442827844,
        121.48922455243061,
        121.60217962680386,
        122.20199181651454,
        121.95891864050711,
        121.7167546770176,
        122.07620257047958,
        122.50980332851951,
        122.89007980289095,
        122.65636252394323,
        122.71535052320219,
        122.60700424512017,
        122.43712829794853,
        123.18571338640996,
        122.73043111654513,
        122.17576051612669,
        123.27613935761518,
        123.66292241430061,
        123.51627283547431,
        123.45508792408137,
        123.70350550192259,
        123.95073317204643,
        124.21227996648773,
        123.77544763572895,
        123.67845264697499,
        123.20814585185686,
        123.8145852463329,
        123.87173224724532,
        124.03160101085692,
        124.4147319607184,
        123.82695196734102,
        124.2870944180958,
        124.96718510192119,
        124.60167855427592,
        124.90222213763317,
        124.11337577360601,
        124.7190715303016,
        124.57081165495805,
        124.58737612239172,
        124.94589568082907,
        124.59440125217806,
        124.8621602074811,
        125.27740907080256,
        125.22448035701969,
        125.09871572077245,
        124.97933209815423,
        125.08971247581155,
        124.75811145308364,
        125.13266617939799,
        124.4903061458853,
        125.18146240833836,
        125.3505824512328,
        125.54919791089166,
        124.79134804137426,
        124.92860116054383,
        125.24487308198698,
        124.98049253014763,
        125.16050231360926,
        125.21588190468572,
        125.35516685444189,
        123.8885724345763,
        124.2717004624098,
        124.28372710112467,
        123.06580674316322,
        122.20511362964855,
        122.6103783704654,
        122.60034114475273,
        121.93061576843145,
        120.18195870958918,
        119.41475200370493,
        118.73770063618427,
        119.03716708707871,
        117.66079880486927,
        117.2175325614917,
        116.88615766940173,
        116.41901793676922,
        116.66522327589449,
        117.32879158061402,
        116.6056055852629,
        118.17409800703133,
        117.78610584304816,
        117.59569893374854,
        117.96978779991319,
        117.96352275748957,
        118.314674496261,
        120.15620116346018,
        119.42886673686125,
        118.4156492286022,
        118.21286144735369,
        118.67792402830382,
        114.89649341755924,
        115.36633234421198,
        116.15261504388292,
        116.24702984452412,
        117.3642841480208,
        118.09499167898558,
        120.28654382829063,
        120.94919585063907,
        122.31855091787156,
        124.47020525889452,
        124.60704936253727,
        123.77183410641966,
        122.23877378112093,
        118.9195179945516,
        114.26466676912668,
        111.88876031781093,
        109.21833238530208,
        108.80881631180036,
        106.42027616574418,
        103.78927799275662,
        100.3465121254144,
        97.01529887586874,
        92.58170284591473,
        89.9830765576692,
        88.30914785427049,
        85.29610218070025,
        83.04164225036851,
        83.76022297517636,
        81.8157215328922,
        80.93951098915329,
        79.42814055203921,
        79.12526366804971,
        75.6300900599474,
        74.17345251005197,
        74.2141155767547,
        71.82169457463397,
        69.0846408329652,
        66.68871503723526,
        68.97527232316244,
        72.35469038796707,
        80.93348378961457,
        91.66749182374731,
        101.51498471272309,
        113.09667434955277,
        117.26653442028599,
        121.00919260656569,
        123.939940722614,
        127.38303704626713,
        126.68162633692305,
        126.67032767951027,
        126.94122514353256,
        127.39397455629246,
        127.01769383635326,
        127.06834201363566,
        128.39075773455662,
        128.21629634490768,
        128.86992518965275,
        127.8745838689602,
        127.3089642700633,
        126.86038047504613,
        127.60411784061328,
        127.34301067663108,
        126.75615275055567,
        126.91754533449809,
        126.72211443759771,
        125.219699937037,
        125.76044126065109,
        124.40258842278816,
        125.23732146207898,
        124.40943945243409,
        124.51353129238443,
        123.91530736992797,
        125.00383269233836,
        123.71764605613868,
        122.72661222726214,
        121.87621370240932,
        121.94942835821466,
        122.03571875125368,
        122.2292580378181,
        121.88251040586411,
        121.73534629944211,
        121.58995103918001,
        121.0554316439735,
        121.15211381057607,
        121.40907182352615,
        121.78873876573209,
        121.22769706652484,
        121.08727065191017,
        121.15556459082029,
        120.96423376372536,
        120.60437344633296,
        120.7110852014642,
        120.6044104378133,
        120.76418907886345,
        120.51854164573554,
        120.22404077487047,
        120.11630294080808,
        120.2327563549382,
        119.94449895794355,
        120.81435191407377,
        120.39196723643641,
        121.23151074032673,
        119.5891272171502,
        118.25339236854384,
        116.09810308893938,
        115.34728000160037,
        115.68369837477366,
        117.13627781857768,
        116.84208137817258,
        115.4605588425603,
        118.90338720517056,
        117.88383304387891,
        118.18567697067368,
        116.8429820086725,
        116.20201460460719,
        114.14507884717398,
        111.17379591185843,
        108.14262332948584,
        103.61967229832716,
        97.50177584767236,
        92.71449396517701,
        90.47264206511771,
        90.33491600297788,
        92.51243235352747,
        92.50374451000057,
        91.66995256621638,
        91.5220405952103,
        90.12261027794966,
        86.09029692990953,
        85.1838396737474,
        85.86417480491966,
        88.20551558628569,
        91.59160298797215,
        95.92484612151598,
        99.9443140211061,
        103.57238803572461,
        107.57343566610896,
        108.9407058388269,
        112.79161049854604,
        114.10773804534772,
        117.28892446022809,
        121.39557231868493,
        126.03309664476046,
        128.23398910208283,
        128.03927899014388,
        128.54470898781173,
        130.24239265481455,
        130.01660540533652,
        129.74754574652715,
        129.78064498711674,
        129.53489666309417,
        129.04636086000016,
        129.94382031282842,
        129.005109721321,
        129.76970866879012,
        128.83989914719018,
        129.97952081884688,
        128.96148858714983,
        129.97232796766792,
        131.3196452981421,
        132.43796133294114,
        132.47555510394517,
        132.31347102459358,
        131.94835325889997,
        132.10263536579342,
        131.22266794058706,
        131.670365422509,
        131.34640650211486,
        131.5497916913623,
        130.65824705452576,
        130.16905869660079,
        130.2909708941204,
        130.6699435080789,
        129.7026447221041,
        130.2811612872821,
        129.69623847857181,
        129.64838337366868,
        129.55322745908674,
        129.5759473860621,
        129.11504349873394,
        128.60983071589507,
        129.23380843894216,
        129.00075000739275,
        128.7932291030871,
        128.31204323961492,
        128.22391508795775,
        127.83626393797127,
        127.97149331459704,
        128.0616727380236,
        127.24229375511115,
        126.82749420322673,
        126.28630469339421,
        126.2352975069105,
        126.1330030887975,
        126.10843451021918,
        126.24171221110011,
        126.01039579649844,
        125.57261609401573,
        125.87016133244818,
        125.02832146882683,
        125.67589142657623,
        125.68809076542466,
        125.89610191976087,
        126.3402572503716,
        125.95564529317647,
        125.98034069051835,
        125.95441343813908,
        125.62778826624661,
        125.84182842941398,
        126.14181836605411,
        126.26368838460353,
        125.69272538177054,
        125.63787546872621,
        126.20726713000938,
        127.0250655371138,
        126.44151364203515,
        126.48130179910491,
        126.34098116967257,
        126.6520800705898,
        126.08800319107057,
        125.75837151816563,
        126.06400757256846,
        126.3714178902413,
        126.34778640320276,
        126.82726188502372,
        126.38071864419258,
        126.3044948127569,
        126.47731380256005,
        126.04812724644204,
        126.91187533546261,
        125.9933421438239,
        126.94129764777166,
        126.50268275496407,
        126.09894738735515,
        126.0199308427468,
        126.2230077648083,
        126.46902620187751,
        126.63787631263052,
        126.89333076255963,
        126.12821799597505,
        127.02127502785471,
        125.86429262476786,
        126.04833315539763,
        126.0942942819473,
        125.67880973507408,
        124.96660547514658,
        125.52317201433529,
        125.3730927605251,
        125.84309916469537,
        125.97794750223967,
        125.07300067698037,
        123.33696767580932,
        121.54621231973574,
        119.36100345468698,
        119.10397064703143,
        118.53728217910846,
        116.62957084052891,
        116.40533498461048,
        115.16116348354446,
        117.06981085544116,
        116.17892613978705,
        117.8831382549013,
        118.2780718187686,
        117.237922873245,
        117.45982354317175,
        117.51431569399415,
        117.75661579659337,
        117.48294726303453,
        117.04072055651483,
        118.16897937714944,
        118.81221996555918,
        119.76145894502234,
        120.51835372890781,
        120.32802312568272,
        118.75857783468065,
        116.38900528942983,
        114.16899854746322,
        112.35055748087564,
        109.47631936607361,
        108.59195029607372,
        105.4113508697614,
        102.40959595503311,
        100.12725315991092,
        99.4125487117938,
        98.86064090373344,
        98.86943814566226,
        101.72208787324581,
        103.62642613607962,
        106.33134114581446,
        108.05934786396831,
        107.3118288122734,
        106.42837842097808,
        103.92160729347182,
        102.68637267783362,
        98.16640833641435,
        94.70422306698097,
        90.55441031425856,
        87.152841398438,
        83.44870080622442,
        82.07432797106785,
        79.76545753014324,
        80.57482563094723,
        79.33281068963565,
        79.16797633788808,
        77.96855680338327,
        79.57018355379459,
        80.66388163223534,
        80.71387875779331,
        79.51605357390027,
        78.60699506192877,
        76.99099934782686,
        77.05513812736234,
        75.76428562764919,
        75.597471725187,
        76.09551829721882,
        79.70296036574429,
        81.79094137705098,
        87.87295492741616,
        93.90636176214947,
        99.38474562546001,
        101.51030698124444,
        103.36712975747051,
        98.74108604209694,
        99.79156751689081,
        103.49313938782292,
        107.00848706134231,
        111.524465741491,
        117.73554535426172,
        122.14724960180092,
        123.86239093259525,
        124.98134874531924,
        125.37914291593118,
        125.22139124071926,
        125.24053829936162,
        124.51219732824265,
        124.52553335717161,
        124.74574637504735,
        124.33231324799443,
        124.22147401488446,
        124.18597509891721,
        124.47896454940596,
        123.79160940408387,
        124.43565814124092,
        123.86218598398166,
        123.56002651083307,
        124.0956576276132,
        124.24393395340412,
        123.74420722453736,
        123.81255465110029,
        123.42990884443047,
        121.67502334824968,
        121.1029860680348,
        121.20604433293543,
        120.94071827748493,
        120.99339542191005,
        121.18434930984586,
        120.83798773523952,
        121.17936744702448,
        122.26523169199608,
        122.59832461062135,
        122.70924963219367,
        122.94479148141329,
        122.41097063721499,
        122.39508337583072,
        122.26876139253783,
        122.2766717188222,
        122.48505630955626,
        122.2683630886877,
        122.81486041158647,
        121.80556015226462,
        122.01216661354225,
        122.0184664411506,
        121.89547475201522,
        121.97609510732464,
        122.55390561817184,
        120.7528048038352,
        121.27260412082417,
        121.41924019498259,
        120.4058008290514,
        118.95588237056027,
        115.53741741715434,
        117.44476436570834,
        116.54561618420315,
        115.78674459503489,
        117.07517889456575,
        116.7165970058734,
        117.88895923532226,
        116.9333013028322,
        120.4696127870661,
        121.82843073972805,
        122.82312022523273,
        122.3653562995796,
        121.67781624403884,
        118.92275494685545,
        117.51198763688754,
        117.5919744525296,
        116.03292017712953,
        111.9481694848643,
        107.46716396089393,
        102.53089331227947,
        98.85983566769733,
        92.12784537289453,
        88.48223341903572,
        85.94908020280117,
        88.3539568789128,
        91.61410151634212,
        94.80817923478021,
        93.31459270052132,
        92.95712022522356,
        93.58182143746362,
        92.97852097967517,
        90.59367296006948,
        88.15582031008032,
        86.8100578703657,
        87.26313474479832,
        89.76102737830192,
        91.21769275804009,
        92.2284141929841,
        95.18027122662865,
        95.9706117594401,
        102.46467033677156,
        107.26398430002355,
        112.4067270081967,
        116.30377918201958,
        118.89671687354556,
        120.52451917732967,
        122.82193121526197,
        125.21084088312666,
        125.32756827076709,
        126.17743265171548,
        127.20110778484569,
        128.15049848486808,
        128.3478709047414,
        128.35484975580698,
        128.4980400271688,
        128.30413078637656,
        128.34126042306318,
        127.05026926067322,
        127.41273995763176,
        128.18681332309345,
        126.39386660912473,
        125.57736846285098,
        125.28740938601337,
        124.62174138074637,
        122.93250591277436,
        121.53956493616879,
        120.99178898556225,
        122.1595777123155,
        120.88962572385634,
        119.36762259290198,
        119.83516855514272,
        119.50039682516507,
        119.38365439332559,
        119.45940906970999,
        120.16744112892096,
        120.10147947991317,
        120.71015401249946,
        121.3859020748813,
        119.96922729338138,
        119.39245595476429,
        119.95576255792564,
        119.5252666851196,
        118.4521558644612,
        118.04298574188613,
        118.47456412391196,
        118.56766109052685,
        118.52091268196202,
        119.03574775208935,
        118.53119915967385,
        118.86106314900665,
        117.69543748407344,
        117.74244366869186,
        116.13212134670205,
        115.57561794836255,
        115.50261783971895,
        115.59739132124817,
        115.64475351772845,
        115.30070681432389,
        115.02868529921582,
        115.15601463410758,
        115.26954728229549,
        115.08166223110493,
        114.503205074054,
        115.23909740757766,
        115.67702742143796,
        114.34632087170517,
        114.2325015034134,
        114.86324837299034,
        114.95528983539802,
        114.6427249932359,
        115.04721512800914,
        115.37070776949857,
        114.74667091653747,
        114.94720007600304,
        114.87900262229697,
        114.48049378173992,
        114.99010359085105,
        114.39455065210903,
        114.89235509544292,
        114.82687765155471,
        114.75286257857319,
        115.59652193840762,
        114.7099764261107,
        114.99015199293905,
        114.96525627602351,
        115.26223537507532,
        115.28231210360103,
        115.03660786588628,
        115.11463334033049,
        115.16355016814323,
        115.83009296412007,
        116.02674209836478,
        116.22837276821852,
        115.77561935392099,
        115.12966698232844,
        116.20153647031316,
        116.99249740976506,
        116.42337506072066,
        116.82962576432037,
        117.69378496856574,
        117.48054240650603,
        117.2433810909307,
        117.33508178807625,
        118.1590134774823,
        117.8870855641085,
        118.01547325821225,
        117.24752359496016,
        118.57535595622741,
        118.61254174101354,
        118.60912871351147,
        118.79702585893739,
        119.27001787282681,
        119.38526767347662,
        119.07770453304514,
        119.16023012927313,
        118.89653739222457,
        118.99931435690334,
        119.32006131665848,
        119.87455222790871,
        119.96931249343606,
        119.57519920987517,
        119.95298577955383,
        119.80541333982158,
        119.64108052279425,
        119.43906899359321,
        119.35950766036723,
        119.5536849548799,
        119.6316183357049,
        119.42647757958306,
        119.55830101601542,
        119.25689635210638,
        118.91790470916789,
        119.89648290874236,
        119.64357759439552,
        119.924091453976,
        119.8974292538007,
        120.36377383395529,
        119.48979585208764,
        119.35810778321935,
        119.45374242372826,
        119.84508990102995,
        119.60604532156407,
        119.54329507666584,
        119.46985153656578,
        119.31862407119067,
        120.24774936156666,
        120.13540984841133,
        120.11867620993722,
        119.79521176807852,
        119.63626789232418,
        119.79321110854897,
        120.21179612943752,
        119.6158085908708,
        119.66913571170117,
        120.25518094909097,
        119.47856282513767,
        119.2832705456547,
        119.12665268332819,
        119.42801592003461,
        119.22358858418696,
        118.23464019532382,
        116.67131835883923,
        115.4620042314694,
        114.50096259583933,
        112.73430069844635,
        111.87683237324771,
        111.65960318732813,
        110.90724716155074,
        111.19388150132403,
        110.02309071228221,
        110.142136855451,
        110.53788573054864,
        110.30598036596653,
        111.02048076245347,
        111.3186809646413,
        111.66710385446731,
        113.46910795781594,
        113.82619494598768,
        114.30347316745032,
        115.51564481461078,
        115.34185803154375,
        116.56307489145476,
        115.56529463488722,
        115.3040666648535,
        115.8800454468117,
        116.59465792703507,
        114.61324151029841,
        114.86202774601993,
        113.2384614400499,
        113.70347785445156,
        116.15664954063509,
        117.59061298847575,
        118.35392567004243,
        118.11095644677127,
        118.9852650133758,
        119.32525516274055,
        121.19578183351307,
        121.89708864529122,
        122.75084540353724,
        123.93610010248501,
        122.43617773952359,
        118.03161027193727,
        115.66261803962901,
        110.6061545120457,
        105.53746091352217,
        100.85367177137792,
        97.86302408768334,
        94.55169619441202,
        91.51823201341861,
        85.82262535103794,
        81.18365581531869,
        79.33985636437383,
        80.63386175654723,
        80.37178819150107,
        79.07929723362743,
        80.51309629013296,
        81.14057348002669,
        82.09264534266545,
        79.98490846539394,
        79.6184235597964,
        78.82166903410219,
        78.06935075412949,
        77.14122856952673,
        75.29552254503038,
        72.63815174196975,
        71.69191003944798,
        73.8144114912422,
        78.18726595253018,
        86.04958875843863,
        96.27086118183723,
        105.09874819089137,
        113.66473665132763,
        117.10778671725544,
        120.41076218204732,
        122.05866366796874,
        122.76362190199164,
        121.6494944261609,
        122.03454697408318,
        121.74410136906309,
        121.36634979700146,
        121.04866116320639,
        121.10009085695825,
        121.9667064872447,
        121.6583150385077,
        121.25008865487827,
        122.61998244735598,
        121.12267592692722,
        120.72519076122342,
        120.64203661881433,
        120.87089409658125,
        121.23877313475212,
        121.54385797134198,
        121.31414494219794,
        121.28334755733978,
        121.36407636854267,
        122.49352301196483,
        122.13267832959286,
        122.07290143420842,
        122.93747937535723,
        123.13239759332151,
        123.09067313119374,
        122.7782383352668,
        123.21147220629574,
        123.01774780144702,
        123.13465526145191,
        122.95627748658285,
        122.80356132889527,
        122.66923652423922,
        122.83269837901412,
        122.71010758306505,
        122.18864644265805,
        122.4229505672867,
        122.99631607667693,
        122.10014869482261,
        122.5708309967836,
        122.86671325829475,
        122.36822134441472,
        122.22857590591869,
        122.42975911305072,
        122.03573646505527,
        121.59254320934066,
        121.84242000814476,
        121.42433838623104,
        121.16427493623915,
        120.2599214716132,
        120.51587852862625,
        119.85032370751142,
        119.7153251026755,
        119.02205865769447,
        119.55031404725888,
        120.4211008373616,
        119.95237862324538,
        121.04002800477544,
        121.74474983778899,
        121.66007199802266,
        121.35196326685643,
        121.29473895748741,
        120.41032466119194,
        119.18772405804711,
        117.12213749537626,
        118.04935619028645,
        116.28278475222906,
        116.98163083404839,
        116.21225776535778,
        116.32814572086988,
        116.80379978652765,
        117.30184811489232,
        117.5234835126741,
        118.08725561184302,
        120.6892862029149,
        122.36758607508011,
        123.5034549689524,
        122.35847763358102,
        116.8943655140065,
        111.91797447475383,
        108.21330439281023,
        104.83810943532752,
        101.37337488736634,
        97.59362879065978,
        97.41252378140621,
        95.12351072927703,
        93.15516306000373,
        91.96096558973046,
        90.7213056397406,
        86.72116064930341,
        86.68410258510563,
        87.33820624383677,
        87.5139629877337,
        88.8198759246418,
        88.83571432927333,
        88.94450206133052,
        90.15682984262413,
        93.69353209032394,
        97.23936993315898,
        101.06146773408494,
        104.8996678746771,
        108.93086452111007,
        113.75059741970679,
        117.82205926900431,
        122.2876909212844,
        125.13683654430159,
        126.71986832334366,
        128.36585066041826,
        128.92242681250505,
        127.87942704490321,
        127.79368822695837,
        127.685818234664,
        128.84228512685797,
        131.20928696869578,
        131.96035167324862,
        132.20773148485335,
        131.08636070679916,
        130.1666445470551,
        128.41298191313567,
        128.42726200800124,
        129.25741302203699,
        128.49763284471243,
        128.64673365131895,
        129.36596470727446,
        128.4519795164127,
        128.03749216148148,
        128.54688882205986,
        128.7583690213143,
        128.57153337010314,
        127.89255284963204,
        129.03762878374528,
        128.02732165163087,
        127.54162303108829,
        127.69136299424235,
        127.54196452786587,
        128.1745070957843,
        126.73922031183736,
        126.879411966341,
        126.48278407519737,
        125.78688053136293,
        125.19624470632576,
        125.62244477256915,
        126.16593506681924,
        125.51427092788444,
        124.93314394403137,
        124.57467070569892,
        123.66043308399298,
        123.29063052842835,
        122.61676510295045,
        122.80940661841376,
        122.42783141352008,
        122.50170267213373,
        122.05711598517645,
        121.81092533664153,
        122.19147005442753,
        122.3829134811543,
        122.09138647105948,
        122.08379446162006,
        122.31402639797179,
        122.16347017922403,
        122.25876759213845,
        122.36063194336387,
        122.6756907554333,
        121.90366948247193,
        122.17967282669161,
        121.31522577613225,
        122.16163046102632,
        121.656524585187,
        121.10454617867173,
        121.24932289716818,
        121.30674013709503,
        121.17172428934647,
        120.39612600459137,
        121.09977002670732,
        121.46423199721802,
        121.22457755053368,
        120.36428502359692,
        120.62232249389939,
        121.22758979437235,
        120.40361806605253,
        120.29267522960703,
        120.02974688251003,
        120.60306595852019,
        119.52572653808595,
        119.53470812529832,
        118.34771119655912,
        117.99110596864469,
        117.82167928319386,
        117.60317427226758,
        117.855719421102,
        117.88198444497488,
        117.36102084430327,
        117.50788957916325,
        117.37399314484661,
        117.98873710279099,
        117.60320122751207,
        117.85057984182102,
        118.171651203673,
        117.98780137879132,
        117.8600291113099,
        117.82252305286427,
        117.56474651169424,
        117.7853296025024,
        118.09818225773928,
        118.14731032194915,
        117.54743790658074,
        118.20927057692697,
        118.26490633474533,
        117.80576645995038,
        118.62064019607394,
        117.98875217696654,
        118.35769058879758,
        118.4172531391662,
        117.79930129158095,
        117.72063393319827,
        117.3490556385888,
        117.81575360443148,
        118.57190768548777,
        118.32334422284964,
        118.09442820185912,
        118.16234055503088,
        118.69762673373727,
        118.33322417153131,
        117.81902066477376,
        116.92293914648917,
        118.01909288618184,
        117.87483542095693,
        118.332401619399,
        117.92666175668022,
        118.50164613470801,
        118.00983765592643,
        118.31417977527869,
        118.40268341514674,
        117.0797262301092,
        116.97924844738662,
        116.54931194390066,
        116.68862872135276,
        117.2611049114462,
        116.76135390879313,
        115.90899493291812,
        114.33859529280353,
        113.41845169481601,
        112.20268479726812,
        111.00730096943107,
        109.96675317235825,
        110.06163250196109,
        109.16914127053036,
        109.10903026665466,
        108.86945946300905,
        109.43783745169468,
        110.67278566759202,
        109.76004172738728,
        111.2156829535871,
        110.58239558420068,
        111.12259522897168,
        111.16958071449605,
        113.22874812504635,
        114.10083318578928,
        114.25682011695083,
        115.56677196498708,
        116.57153328212694,
        116.15518314914152,
        114.72046145168024,
        112.34259320087149,
        110.01104996290118,
        109.15166643036262,
        110.10020366691603,
        110.16741223197265,
        111.26231303064101,
        112.63683994455222,
        114.1503627631887,
        115.9868241099416,
        116.56966851427315,
        116.8348738956404,
        115.27439606730029,
        114.81922338768281,
        113.47000816429349,
        112.43000795547573,
        107.30108759109,
        99.6304070214789,
        95.94283075874117,
        92.13527479757867,
        89.8713215864184,
        86.7990096009326,
        83.42949502506492,
        80.17138020663324,
        79.8311624529615,
        82.31311667486,
        82.26147240587387,
        83.49878793447877,
        84.52390331486836,
        84.73733168782665,
        83.25805362121083,
        82.35392727158148,
        81.20040436387225,
        80.69762737545099,
        79.81094080422429,
        78.75652539953528,
        76.44716245736753,
        74.71764922839806,
        73.79266022673548,
        77.4163208881813,
        82.47149589481852,
        89.6415962851772,
        99.75361684219453,
        111.27423068547486,
        117.30455560860337,
        120.38629700614973,
        121.38660000014859,
        123.79264702833184,
        125.94017088995912,
        126.95469855032907,
        126.26402487608296,
        125.70070596952071,
        124.80186900461396,
        124.73605242403129,
        125.22599227699928,
        124.2848655861738,
        123.7201039139103,
        123.86699720967142,
        123.8141545371473,
        124.03421899732413,
        124.22684417900412,
        123.39353222542748,
        124.08300923253233,
        123.88907624371014,
        124.09949144318924,
        123.99552661900924,
        124.37262044176323,
        124.01272267528682,
        123.58277670426007,
        123.05559415016626,
        123.87900818577398,
        123.56133747287004,
        123.56870409469241,
        123.14074416925882,
        124.21381827917108,
        124.10732908705668,
        124.15272969046669,
        124.74599505705454,
        124.65889787156372,
        124.24218404987269,
        124.02365738910895,
        123.56214277900297,
        122.85130203871645,
        122.80386675123988,
        122.16279187530691,
        122.52721351227467,
        121.5449812100727,
        121.66354141172354,
        122.48006894851157,
        122.04201391442369,
        122.23026971746053,
        122.73954905487133,
        122.58137161328028,
        123.76384675501396,
        123.60284444089969,
        123.1058975232201,
        123.52390007684588,
        123.62021063756738,
        123.66515511119975,
        124.09092335880693,
        123.77014252203152,
        123.77579139610556,
        124.50471115919783,
        124.08642810373796,
        124.54180167338474,
        124.04797434040537,
        123.77779756918056,
        125.16620907625212,
        124.21697654394453,
        124.5548451082958,
        122.74560174304344,
        120.78087219077327,
        118.59508424141319,
        118.8254035150137,
        120.29360435146755,
        118.63123886738639,
        120.00251251464005,
        121.04329937001597,
        124.20374959477344,
        122.55276615243869,
        119.25222763108296,
        115.0647536299841,
        110.29234989048506,
        106.56224102640041,
        102.7514756119711,
        96.73853185838918,
        88.73439561071403,
        82.55411999921434,
        79.65082962412899,
        78.7324106208549,
        78.53710503436847,
        79.59083331542419,
        80.54372358143169,
        83.0442046288854,
        83.16443931814229,
        83.42267937118419,
        82.72611687804597,
        83.25132675762714,
        83.28905836967066,
        84.95346166177428,
        86.71064115572936,
        90.50973224145076,
        95.48827929704753,
        105.44586959910434,
        111.27067151676357,
        115.89245124779174,
        118.02307926821557,
        119.32145553061397,
        119.0927978900013,
        120.9829726415794,
        123.3906521593629,
        124.03167460790861,
        125.34669092499959,
        127.02530808570123,
        125.83456039570001,
        125.56340432132657,
        124.3103480972886,
        123.54999030093546,
        124.26156195953722,
        123.75096364437984,
        123.75494017722671,
        124.17318195672203,
        123.59004519839812,
        122.19236925546028,
        121.39709664363768,
        121.263662795639,
        119.25186774670533,
        117.90321298180041,
        117.63130101747818,
        116.88893260241855,
        116.04237078332764,
        116.70549295879044,
        117.75646015162015,
        117.86549234875125,
        116.77994555309066,
        117.0083056706931,
        117.78492309725983,
        117.57886593271573,
        118.1337824641203,
        117.93605803688529,
        117.4965431076508,
        117.08732253849153,
        118.1199007035538,
        117.79067398606284,
        117.01716928677455,
        116.65914870438627,
        117.33273329976815,
        116.00287399323375,
        116.83855573819008,
        115.79149957795202,
        116.15845907161383,
        115.64537545704141,
        115.40207989689685,
        115.66791375721417,
        115.54557237742537,
        115.65598852922896,
        114.85993455589293,
        115.40451584267902,
        115.27888222361541,
        115.52746722478622,
        115.39178972898236,
        115.28203375198885,
        114.86441810764829,
        115.09258699812592,
        115.14856687180793,
        114.39739923522642,
        112.49348138062217,
        112.52371031239706,
        113.05322673718273,
        112.95835754122432,
        112.97944422403917,
        112.65800783719544,
        112.42861208327787,
        113.23456229738645,
        113.30333889312061,
        113.07199338077507,
        113.35379194716347,
        112.97724199760817,
        113.62575428767992,
        112.74644861995199,
        112.50482533975774,
        112.93388563921422,
        113.41707554915305,
        112.9663978294713,
        113.22185371495425,
        112.98745775820834,
        113.12773059517195,
        113.82089743907234,
        114.17195359924693,
        114.07756962126841,
        114.27666921090282,
        114.55825928705113,
        114.77593259067281,
        115.2692145472553,
        115.02477510213839,
        115.1192196611567,
        115.00148458494849,
        115.06232684024711,
        116.73255212869829,
        117.78864890422105,
        117.48501325968873,
        116.22536792442405,
        116.92596428214061,
        118.21535895781022,
        118.32277855057778,
        116.85165694436905,
        116.65683543295198,
        118.06003979442887,
        117.98380947887703,
        118.98405471770027,
        119.41024596190891,
        120.71785633416353,
        120.21950540209153,
        117.85070215248774,
        118.92561222697952,
        118.73288458155673,
        119.51532139520623,
        119.37707653714342,
        119.45225622961404,
        119.3485165319078,
        120.53816598996289,
        119.7211502537656,
        120.52208811121767,
        120.76064203453322,
        120.10432631519255,
        122.80069202589436,
        122.26829690647827,
        122.26103933184115,
        121.79114565302785,
        122.25869362175378,
        121.74694138269774,
        122.10928222215394,
        122.44499714200661,
        122.3843802707749,
        123.03817865371704,
        122.96377401854774,
        122.3974745020213,
        122.38029654990198,
        122.32300243211075,
        120.21702570810002,
        119.97765598023761,
        120.84744586232392,
        121.1819471520862,
        122.15067872385092,
        122.44018283289323,
        122.6208131754932,
        122.75106131299496,
        122.52815219721332,
        122.84146465536998,
        123.01439982998703,
        122.41668315293856,
        122.15671199761961,
        120.99762271519215,
        120.41113590036909,
        119.33336062319827,
        119.91895031163382,
        119.82000318452334,
        119.25771277040062,
        120.33014135477609,
        119.75840712142737,
        119.23162652203602,
        117.06333694576672,
        118.93730945916346,
        119.22276740133024,
        118.48976649539979,
        118.49166559911612,
        116.68164000506927,
        115.54082278122088,
        115.75139163094767,
        116.32117435341226,
        115.94562632669829,
        113.78044378937562,
        112.97501701948165,
        113.22752999041478,
        113.03589776029841,
        113.59272781266095,
        114.45811610577908,
        115.06073901893342,
        116.75024902900034,
        116.02419713767256,
        115.65727078246013,
        115.7073485106161,
        116.70742288027455,
        117.1711682676129,
        119.04072893872676,
        119.58780561683355,
        120.82781556498158,
        122.21781040152082,
        124.41356215347155,
        127.9376774333304,
        127.46067325008634,
        127.7432560671864,
        126.55996861886862,
        126.93273569464343,
        126.10773532155257,
        127.47760301546516,
        123.15786957379672,
        123.03905370239117,
        117.53228919268956,
        115.30124853374217,
        110.71612490150213,
        108.12191569703637,
        105.95145954025902,
        104.13899587029768,
        99.16965084700084,
        96.93869790781164,
        92.66888604479072,
        88.9660041424775,
        86.54355150898122,
        84.46774664216105,
        82.74325363746874,
        80.16559206169964,
        77.26403634328005,
        74.50418366518676,
        71.04537481994514,
        70.2721751820317,
        68.08561666896475,
        68.36241427911818,
        67.86603442687934,
        65.91587962691695,
        66.34445276288521,
        65.45691799692834,
        67.68561305075632,
        71.00418254315359,
        69.04976989821233,
        71.73186523147069,
        76.5404943577581,
        79.32967295644784,
        81.77535104395433,
        83.5620406642018,
        85.39720219924664,
        87.92868110229696,
        89.97239353708956,
        93.77840826811142,
        92.50910243563706,
        94.37051883429999,
        101.22087508232168,
        106.78381181639782,
        106.95480177721514,
        112.26252200417846,
        114.80580155324098,
        116.01446239165203,
        117.1544889557262,
        116.59339226614195,
        116.81006850404249,
        117.41579861448295,
        116.96654785025424,
        117.2690973137738,
        116.47573185183619,
        116.36890686727438,
        115.29103674801368,
        118.02352369437186,
        120.36299762362192,
        122.37073547593523,
        122.39255951148031,
        122.58827914208292,
        122.52018099659412,
        122.10962873384248,
        121.99347144184173,
        122.0499155102607,
        122.57040633297929,
        122.43149562414773,
        122.15335112661138,
        122.18630786151539,
        122.01414730904027,
        121.75562350090753,
        121.7049433713287,
        121.85467610515389,
        121.01218540770795,
        120.42291070177312,
        119.93183320678786,
        119.36598428965917,
        120.33409952714574,
        120.34855033415913,
        119.80995369300327,
        120.89209956767817,
        120.49112156883406,
        120.80326585917528,
        120.41904721272311,
        120.17319948066064,
        119.33151367128784,
        119.56196969529097,
        119.15042131112995,
        118.83220305266197,
        119.2940992742964,
        119.71744859050116,
        120.28947820627916,
        120.46823629777005,
        119.8736095934875,
        120.92869334982834,
        119.25525027595594,
        118.16912406742307,
        117.89165179107097,
        118.17623648534587,
        117.04212805620351,
        115.69576039843022,
        116.94075345533855,
        115.86683709460593,
        115.89501639647875,
        113.45436819051103,
        114.61998250358967,
        113.80407683041841,
        113.62044049141288,
        114.55006328897659,
        111.87575195263832,
        109.25184414200004,
        106.80850177948044,
        102.2971296227092,
        97.75640263031332,
        94.62660185197105,
        91.30983134938933,
        89.11046728684701,
        89.38074797066686,
        92.07995805253063,
        92.81017322015319,
        92.55485455265278,
        91.20313650663344,
        89.6030069831564,
        87.80196022692813,
        86.48589734886905,
        87.18059302541482,
        90.1004823505333,
        94.89515794603214,
        100.51594533102343,
        103.53714765884911,
        108.58054141988754,
        109.34200854790244,
        112.73058522180926,
        113.92254567193544,
        115.88847563732288,
        118.31476593760839,
        120.75233507627196,
        124.07761535999887,
        129.92889747358828,
        127.97530817851293,
        127.42895258511827,
        127.19162233567711,
        128.05502364220433,
        128.28996173252665,
        129.34762215097044,
        131.18079584473327,
        130.1706662706383,
        131.4388728069018,
        130.69066815002128,
        130.26470279515567,
        130.34585617604608,
        130.2841662503131,
        130.30407857973051,
        130.20463872331325,
        131.22185013382534,
        131.7771510544508,
        133.02034116467092,
        132.34825245439814,
        131.35834034056893,
        131.4765354858211,
        130.9327308738979,
        130.5578968693982,
        130.64783392936747,
        129.83254208873115,
        129.9229655589895,
        129.84994284239085,
        129.0927861863118,
        129.46105040706414,
        129.52151410599063,
        130.08499494917749,
        129.6844766918915,
        129.19188909307402,
        128.6060120851775,
        128.546542042271,
        129.29203924927776,
        128.5757698526735,
        128.45203861093694,
        127.754357428554,
        128.25989569935527,
        127.99253152963149,
        128.3682590340507,
        127.39312824503118,
        127.8427465054102,
        127.28930466748928,
        127.39057373534463,
        127.0353456136989,
        124.90661445198992,
        124.29772389066515,
        124.85066353287864,
        125.32609892295432,
        124.59403804874805,
        126.2078768780711,
        126.23471362488348,
        126.12069490255152,
        126.16878958212766,
        125.19174533596751,
        125.03316235344019,
        124.47291614697285,
        123.85622013986529,
        123.34742922602513,
        124.98612671197955,
        125.46733579185292,
        125.73977290740767,
        125.59005612295435,
        125.1264260154995,
        124.4562534643103,
        124.81858045183758,
        125.30346575390726,
        124.59949706528066,
        124.61723754521417,
        124.66130977672486,
        123.88581241437063,
        123.939342841403,
        124.12164767910474,
        124.56313345878978,
        124.04721724785587,
        124.24740171492128,
        124.26547428573343,
        124.08914113604949,
        124.35793342305563,
        124.30985760496155,
        124.37875657815495,
        124.73212648842046,
        124.74049126405946,
        124.82597847255654,
        124.89844088059404,
        124.7270186447075,
        124.4863033164271,
        124.14402976883787,
        124.23916939608517,
        121.9588244868147,
        121.4829311656402,
        121.47149388604677,
        124.56005553962902,
        124.13115508241178,
        125.07788710190466,
        125.35968151504609,
        125.6901444396219,
        126.0549343365483,
        126.48024922518793,
        126.31978591432808,
        123.30273064201737,
        125.11671735427578,
        125.53698316277344,
        124.62052757435846,
        124.52585405931315,
        123.82361010658,
        122.17774638668061,
        121.55542909890515,
        118.76366738884064,
        115.58494381751538,
        114.38615494135264,
        113.65019833315925,
        112.03322990202604,
        112.41125119327488,
        112.02869704574307,
        112.20454694732956,
        111.85993695689373,
        111.78753821296795,
        112.17096440802564,
        111.26932138194438,
        112.6029088856156,
        112.77400980620511,
        112.8263338493922,
        111.71692703380187,
        112.37350634820564,
        111.64949267175409,
        112.02198308170122,
        113.6082125511063,
        112.15815769166664,
        115.33213767124967,
        116.63844711858607,
        116.77921173228816,
        115.83586754042895,
        113.49860134528713,
        112.88827309167606,
        115.76730606644242,
        116.40007672115979,
        113.6672105398165,
        112.73317081629314,
        114.81903335646584,
        115.41956292892831,
        116.22969883987517,
        117.51850775332656,
        116.62759151519953,
        115.29788126805515,
        113.27926967565566,
        114.9391156560733,
        113.9277390726818,
        110.93139315597264,
        105.87345766580633,
        101.24061629614758,
        96.62609655853346,
        93.84957708627094,
        89.61568141435484,
        84.7955978284942,
        81.3590644056108,
        78.09180445169515,
        76.67809422904419,
        77.56902548148655,
        80.77480468316672,
        81.49294483685907,
        82.56670236250937,
        82.54749715021694,
        80.12733680913153,
        79.48033781775122,
        77.92574356184599,
        75.54167987406846,
        74.33981877539657,
        73.66812208069229,
        73.63124815975536,
        76.67328197336082,
        82.29348304327607,
        95.04206883877677,
        108.56847435162867,
        116.79879376430742,
        120.60983939142372,
        124.34852863071067,
        125.24383101580582,
        127.45033600969558,
        127.79548537747525,
        126.58265071028708,
        126.42160380350626,
        126.1069366886457,
        125.75616673061107,
        126.18451273990084,
        125.63447044936397,
        124.95913904053027,
        126.33288049584213,
        125.18126839262705,
        125.65880833430334,
        125.68165522134201,
        125.21443773462735,
        125.09467341031561,
        123.88793474411628,
        124.0427722545481,
        123.2393890922544,
        122.72589623386652,
        123.16816406148699,
        122.47479741967766,
        122.77364820310684,
        123.33886873770805,
        122.96349121786973,
        123.52271070193993,
        123.45101395030088,
        122.48686554186766,
        121.81184784523246,
        121.25047262692496,
        122.1775275313451,
        121.7259040194769,
        121.88569605850078,
        122.07751634729908,
        121.82140085395167,
        121.95758247640148,
        122.0169527086464,
        122.71160278475992,
        122.22129351713698,
        122.25947087709986,
        122.86000868392743,
        122.49257267791795,
        122.51861396979497,
        121.7627813875801,
        122.82821437661708,
        122.84676266912717,
        122.85393884336666,
        122.0088034943463,
        122.30275748099146,
        122.51383512599557,
        123.04363242097018,
        122.63837269158178,
        122.37890648406805,
        122.74665196347281,
        122.72725068614267,
        122.80740625828662,
        122.56811755983125,
        123.26240308592034,
        122.07383158303043,
        122.85192824431951,
        123.22214676486836,
        123.33551830790111,
        122.96859303172221,
        123.06680388223569,
        122.87221192963314,
        121.88225528268025,
        122.38200703178353,
        120.09320998886476,
        118.81205102362922,
        117.9194958602526,
        118.3976210386477,
        118.82423387390686,
        116.9349358675135,
        117.87924786564702,
        119.37974361174565,
        116.81093453406811,
        114.85018807026383,
        111.5923154391772,
        103.27227777099398,
        100.25623186057757,
        97.6182696756952,
        95.68424116069444,
        98.35621633647389,
        95.21294190939236,
        94.2713867174418,
        94.45405779721595,
        92.41244275380501,
        93.0437745282161,
        93.58588314056385,
        94.79282658465651,
        97.4037596930169,
        98.46540975655442,
        98.03949616348707,
        99.10198202453898,
        100.46245514354266,
        102.532579543351,
        103.9546064800116,
        106.07456812896511,
        106.11404691210024,
        103.73163726169801,
        102.84293366121503,
        100.55258673811495,
        101.22138196730324,
        100.76109156824386,
        99.80842264315643,
        102.47976092159016,
        100.6560138050115,
        101.51223922014586,
        101.30751844235526,
        99.90381714866649,
        100.10869067853709,
        99.96565719025112,
        98.56872974523642,
        97.82329788093097,
        99.06191471768534,
        99.20714988358112,
        98.78225983251882,
        99.00260145424213,
        97.66867329060533,
        97.92782297585866,
        97.16425473682828,
        97.31760842238054,
        98.99906174572139,
        98.81205402034115,
        100.4974471906492,
        99.81754360646366,
        99.97137138791136,
        100.77674433656843,
        99.70279252808062,
        100.64746744763977,
        100.38056640466709,
        101.02594834115759,
        101.21669808225163,
        101.30562499507656,
        102.54132866062695,
        101.83741053876514,
        102.03357369325308,
        102.1757880369103,
        102.73467338532176,
        102.24583947923321,
        102.89926613074294,
        102.84238208107446,
        102.71275136094158,
        102.12853913310775,
        102.55822083717514,
        102.4464272213276,
        102.95415327563698,
        103.07819986866022,
        103.12552514372092,
        102.85744501024989,
        101.92098379626293,
        102.21690827251953,
        101.71644602988864,
        102.80437246460967,
        101.96082246769353,
        100.77166158876294,
        100.37388563170141,
        100.96810402034967,
        102.62260163482729,
        103.5879730896368,
        103.51036488435416,
        104.01145251861476,
        104.14537072433541,
        103.85537362476227,
        103.99150318203311,
        103.09145507809559,
        103.73410190459705,
        103.74191514628737,
        103.77366681093238,
        103.56704101389492,
        103.39616030042319,
        103.87944624958627,
        101.8712677133347,
        102.36521737408104,
        101.78275064100406,
        103.94496093216203,
        101.7181174012066,
        101.57244753598697,
        101.14001446756696,
        100.2717654030117,
        100.02464843624358,
        100.72161274308871,
        101.54325843402562,
        100.3230157583684,
        99.39911277448853,
        98.2785951959633,
        101.0674793821829,
        100.9710441908972,
        100.84769928258146,
        101.11302046697048,
        102.01290183199332,
        101.99324797143444,
        100.61285662509776,
        99.1463530747369,
        98.76904766968137,
        99.46271122382934,
        101.31212238891294,
        101.79317599659339,
        101.70325664067306,
        101.34613489553186,
        101.21305193644646,
        101.18848957108398,
        101.69506763581633,
        102.18711732704729,
        101.37653752043602,
        100.19791992173263,
        99.33368959779763,
        98.49646809856263,
        98.65126952548084,
        98.7936787451911,
        99.46829353805774,
        99.86501048329036,
        99.45324977513366,
        100.13131943518817,
        99.8087872494763,
        100.4721965414697,
        100.44264425104697,
        100.005110669422,
        100.06382160217326,
        100.87549804656089,
        100.2125517200893,
        102.65822661624478,
        102.81325953258566,
        102.71843605089167,
        100.69149594743305,
        100.38152994012817,
        100.55640733433354,
        100.29468568976017,
        100.13973849703304,
        100.4287203406796,
        100.82658202701131,
        100.78255207890419,
        101.1685007937384,
        101.28771846017715,
        103.18055664022923,
        102.93086986296849,
        103.33397134316469,
        103.37587167217703,
        103.07318575348555,
        103.58899883291417,
        103.8243026373964,
        103.31898075708874,
        103.79257486761479,
        103.40551973748838,
        103.79509981656757,
        103.90672200484092,
        103.53771410006249,
        103.76274305299147,
        103.42225187261079,
        103.09881871109955,
        103.89474063863751,
        104.09830837176165,
        103.91455656627546,
        104.2351840997483,
        103.69388093060566,
        103.90277416087909,
        101.7684226534796,
        101.85555338108337,
        102.25804144382855,
        102.19602355544895,
        101.64233108779409,
        102.21849310121412,
        101.73835503019639,
        104.14142107104061,
        104.21010018646676,
        103.88442671391874,
        104.31922344603255,
        104.48498878730159,
        103.8786006035132,
        104.11391235084356,
        103.94814994120642,
        104.9733543107377,
        104.85899195597965,
        104.20113534418623,
        104.59446903782599,
        104.1846343286928,
        104.30064669931204,
        104.41270832778183,
        104.3071672389231,
        103.8895330530581,
        103.99796259166571,
        103.69491970370521,
        103.84675528063337,
        104.02990125812782,
        103.91541051608722,
        104.18584273707967,
        103.9454463088377,
        103.65574327256634,
        101.62051757786004,
        101.2133025896518,
        101.04424840176432,
        103.46899775573233,
        103.00818684833551,
        103.26387658710189,
        103.15684532112718,
        103.03582067416768,
        103.08133752488301,
        103.93800708478716,
        102.69169885520763,
        102.84241500203517,
        102.87194983927292,
        103.13252239487836,
        102.57463975588483,
        100.99184641772909,
        101.91589951717853,
        98.59763997004305,
        98.91299370601004,
        97.61834815168956,
        96.6410109063596,
        95.70572080544666,
        94.91771013070446,
        92.98748287723664,
        93.3683137057787,
        94.38461903157787,
        93.65392758917989,
        93.52925021700746,
        94.75610783293594,
        95.08367476637518,
        96.46741860139515,
        97.5727097708363,
        98.4311353276559,
        99.1079206396492,
        99.8062677221781,
        101.34518190679029,
        101.79494140560888,
        101.8426620355112,
        101.64796259717481,
        103.74386754876481,
        103.32719436571713,
        104.3089919583166,
        104.60824506694438,
        105.72755424725514,
        105.02814374949565,
        104.75176681209275,
        104.83975544035428,
        104.97884749738226,
        105.31131467634475,
        106.61415472622976,
        106.99087130353945,
        106.09234917267213,
        106.17270035459364,
        106.93012767607952,
        106.82339770720002,
        106.3362807364096,
        105.50993670310176,
        104.56214373342245,
        105.44893334390032,
        106.02072986848245,
        106.6317773403167,
        104.1157508629269,
        103.99927043854505,
        106.27301721575706,
        106.05784685189195,
        106.39269856154816,
        107.78933332709781,
        107.50627456088125,
        106.97277014286253,
        106.76473668163862,
        106.64472222221383,
        106.6600871535971,
        106.60332935307507,
        106.84041082671378,
        104.68491353069238,
        103.68828702462694,
        104.87795174371837,
        102.7942010097706,
        102.74470990487079,
        102.85336549688145,
        103.25745872485778,
        102.31754474025095,
        102.86708869801161,
        101.7904944212014,
        101.58660263235767,
        101.11525601081367,
        101.32475437872289,
        100.32290724501537,
        100.36014711698037,
        100.04702797269354,
        98.14363931867805,
        98.52601376739301,
        99.252447814437,
        101.39737046604851,
        101.86766662755569,
        101.26709922938667,
        100.79557971963122,
        100.68538913513885,
        100.70884110029513,
        100.44200543258091,
        100.89002564945804,
        99.85828267865594,
        99.40129592878218,
        99.87747354586865,
        99.15169700699794,
        98.30121957374384,
        97.80599174884856,
        98.7607005843958,
        96.89482486456669,
        95.40096232075938,
        96.59624335928655,
        97.46031537909909,
        97.72892935504628,
        97.9640093045144,
        97.36019382112397,
        98.50626981797387,
        100.59319949925843,
        101.14518277733369,
        100.87512789994645,
        101.43064482226777,
        101.40318860581426,
        101.68531401528142,
        102.07132830913837,
        103.52560991686903,
        102.9980706577044,
        103.47278493165854,
        102.92477450356198,
        103.50538871316148,
        103.3239691769866,
        102.75477931729075,
        102.95101887768077,
        103.61220732110925,
        103.63483985424693,
        104.72109233242905,
        105.09956812286265,
        106.40749756420266,
        106.35150883403499,
        105.9795162712222,
        107.18041436148853,
        107.24328687058436,
        108.5335371186999,
        108.46583360641522,
        108.80429322993685,
        109.80596466349954,
        110.32782240212943,
        110.76374547196943,
        111.06328088824102,
        111.9991561767608,
        112.44908450966227,
        113.36948370010924,
        113.85422035742198,
        113.34232941338615,
        112.74266976558165,
        113.18580422762636,
        113.1911729211244,
        114.17227404914925,
        114.26604729889588,
        113.99859661774171,
        112.25528026012736,
        110.1890197169796,
        107.72908016460079,
        104.15074071134875,
        100.13846452147756,
        97.68356150175481,
        93.43767178077839,
        93.96104636165362,
        91.56053092581666,
        92.38018011496384,
        92.83224354171635,
        92.88167167774037,
        91.83864619363527,
        89.12750426747465,
        91.00726775382034,
        88.27073495206272,
        88.5554813893477,
        87.59043583017976,
        86.6466817913207,
        86.92979344068804,
        86.53553125878464,
        85.80323084245836,
        86.75917017844858,
        87.37400259975536,
        87.55479454745067,
        87.51862761486458,
        87.7169786249785,
        89.20682427886206,
        95.5669834785362,
        101.08336207698561,
        105.91115508580884,
        109.77445709993957,
        107.95311887217862,
        107.96260162033155,
        106.36576528372578,
        106.12101524164004,
        110.29542495985916,
        118.04962538308982,
        119.05630762670991,
        118.96243488441276,
        117.73160089432615,
        117.99722030045193,
        117.72287820848898,
        116.4706439652724,
        115.90405092500296,
        118.1045240045865,
        118.4870442240517,
        117.71461627473501,
        117.57685533044439,
        115.04225229149282,
        114.75910257211481,
        114.46930137679169,
        115.5375259570775,
        115.32520569984169,
        116.09334284218559,
        115.7753953735518,
        115.84876779405815,
        115.44522854488649,
        115.52858245832655,
        115.52351808614374,
        116.05453559537962,
        115.26341255837058,
        115.17602837032095,
        115.64033088589682,
        116.08372897244554,
        115.65301601280997,
        115.89615374743263,
        115.8862493029934,
        115.36301507183113,
        115.10657199848633,
        115.45245817530738,
        115.51467226687129,
        115.04212550503402,
        115.23494700427855,
        115.77251048585191,
        115.43965655294012,
        115.28801104148121,
        115.82340664679079,
        115.91573377188229,
        115.55713430085146,
        115.45637583048301,
        116.0669929762599,
        115.58972653582202,
        115.46539293946927,
        115.63207552591491,
        115.46678241509636,
        116.16062706896824,
        115.74776226762637,
        116.44811656480319,
        115.90026721140322,
        115.91657590847714,
        115.5287274867681,
        116.32065657739996,
        116.21117758897044,
        116.52166446532885,
        115.707468036055,
        115.50497546174675,
        113.95771511683189,
        112.23703167272289,
        110.23730653682277,
        110.87460936526375,
        110.74315445155266,
        111.0707154775076,
        112.28127890307883,
        113.57399149673508,
        114.78400500628733,
        116.21044124741614,
        115.22550622237874,
        115.95475037728312,
        115.7334726467828,
        115.4485237833235,
        115.20452954902755,
        112.6757589654961,
        113.05298277949119,
        111.97822742713124,
        111.39312671877894,
        112.06069683286758,
        111.83725744739375,
        110.94258005530546,
        109.56362078875785,
        109.12090517376865,
        108.20805952053784,
        106.3038175002439,
        106.20309372098308,
        105.03875418994218,
        104.00627018916119,
        103.73359510357177,
        104.6897320842643,
        105.15703490818147,
        106.03731736246272,
        105.72634649476882,
        106.33659483573452,
        106.2811568174321,
        106.38697825553439,
        107.01724018161794,
        107.06977781268876,
        107.34770195145654,
        108.38909140217038,
        108.41779741321132,
        108.36289905930302,
        109.22231487782787,
        109.02395257933809,
        108.71776675766635,
        108.71001902340215,
        109.34340656261041,
        108.75823787107734,
        109.31351787529343,
        108.09838544554844,
        108.34768119553719,
        108.58465766722067,
        108.10323321495056,
        107.91171603135767,
        108.37871539141699,
        108.63964590600567,
        108.7428520873186,
        108.13876999061382,
        108.44593389079074,
        108.44433814563808,
        108.27302683256471,
        108.43270021205757,
        108.49914813529001,
        108.30070596493479,
        108.14874217829744,
        108.02777936616101,
        108.32764130487936,
        108.87010253026943,
        108.63658076248028,
        107.85481035144895,
        107.42895035196885,
        107.54811758095018,
        107.21648360515121,
        107.46923838763134,
        108.3497113382975,
        108.59311362614258,
        108.45063238548289,
        108.49598616137722,
        108.45865315187135,
        108.24619701359548,
        108.17678470678425,
        107.0959933095284,
        107.29617275271004,
        108.12267174799834,
        108.92431225025774,
        108.6355691031368,
        107.42665683320594,
        106.92056672807855,
        105.8959899365167,
        104.87188534723794,
        104.71867974634519,
        104.57388265198422,
        103.53550877269832,
        103.24927184224374,
        102.89878494201939,
        100.60825686221008,
        100.20780596425668,
        100.24455000594806,
        100.59786806090555,
        100.72706847672939,
        101.67687860750218,
        100.3572803964307,
        100.70563909805033,
        100.1743344817607,
        100.95491677758291,
        101.77438258062908,
        101.09949140644255,
        100.77290792562017,
        104.56127531816924,
        105.61983757024689,
        106.22832934257576,
        108.8768022983031,
        106.93409033344282,
        107.13336117897174,
        108.24121165873638,
        107.76940608948122,
        107.63605502065953,
        110.87928601774145,
        112.60724390452135,
        112.62424876064705,
        113.19890588353776,
        114.27633275239715,
        114.63170643881341,
        113.25478767861243,
        115.62341290182678,
        115.51030995016505,
        116.49890873039972,
        116.52298464850904,
        117.75410807035264,
        115.41351016108078,
        114.1932588205089,
        113.38141454249241,
        111.1969965187978,
        111.31202762733272,
        111.35227131073042,
        112.14678528802767,
        112.28133499694616,
        112.33570456961597,
        112.64364582076158,
        112.65079860916399,
        113.60788662344521,
        113.61559714596895,
        113.94276222466036,
        114.2744335905663,
        115.44789165864046,
        117.42621561238461,
        117.97382014932941,
        116.00804614628245,
        115.45346127789817,
        115.30138743496647,
        114.35555445955993,
        114.7651692696775,
        115.60529765886524,
        116.25369970081461,
        117.09463177946076,
        116.74217553619246,
        117.41606011099465,
        117.34224681491872,
        117.19525318271903,
        117.79707825867399,
        117.70465890220356,
        117.92139679610166,
        118.16434634914307,
        118.33707790600688,
        118.03089839196173,
        117.93987413036147,
        118.09715999851105,
        117.72131543380236,
        118.26106517650452,
        118.1655894827613,
        117.91220659058067,
        118.04801098832179,
        118.27776403038105,
        118.9802387146729,
        117.96984837420308,
        118.10044692091235,
        118.15077398323665,
        117.28728407075565,
        118.24164167590963,
        118.28900961039767,
        118.315505635075,
        117.77973121271009,
        117.04916302374644,
        118.3283340564361,
        118.40690212579091,
        118.23969326652228,
        118.07997464661089,
        117.85490658995506,
        117.94410914131335,
        118.34937137827937,
        118.5704520729829,
        118.1580135469533,
        117.53177117816291,
        118.68975331415041,
        117.89026328577104,
        117.82249268455922,
        118.16532841304358,
        117.4140403587528,
        118.14590023605597,
        118.59432361848252,
        118.57581849876576,
        118.22022892397975,
        118.41885091141108,
        118.81869538384773,
        119.27085574569172,
        119.12682255214983,
        117.99761318829387,
        118.17616752587867,
        118.38226732200013,
        118.49036382066811,
        118.91226598401452,
        118.83427516230356,
        118.36594470030182,
        117.54606945395649,
        117.5680573378656,
        117.52720582935542,
        116.6493294252618,
        115.87307254847134,
        113.63922415324903,
        111.83307724850451,
        111.3365639121972,
        108.87644603301405,
        107.66755170164376,
        106.28991101927996,
        104.68226273072575,
        103.93284034582992,
        102.01333440989625,
        102.18479130455181,
        100.47880859173858,
        100.00607709237086,
        97.14291377167821,
        95.67938066647382,
        95.68161529211929,
        94.13740765570796,
        94.69208910747213,
        96.71770036935695,
        99.26190610468306,
        100.14149304409362,
        101.62895180382696,
        102.48611798208613,
        103.33601272837893,
        105.15442235008408,
        105.88196680729031,
        105.36398726230153,
        106.6940109831569,
        108.31309315888616,
        108.69298388871984,
        111.52345539105366,
        111.05420516274417,
        111.98205182859519,
        114.19340256942884,
        115.28597830884624,
        117.32332322396155,
        116.94407544919665,
        116.7392416306352,
        116.28491187692318,
        117.15011851419786,
        116.52715251547724,
        115.79597717703247,
        115.93095784693263,
        118.55935574149088,
        121.29365950277813,
        123.12237554931177,
        123.86107310754154,
        126.96698215055531,
        126.25127594742422,
        126.70971520451036,
        125.71370210322411,
        125.48300494535458,
        124.77324752595372,
        124.11260657592067,
        123.51174078955,
        122.94674885613715,
        122.50275344092555,
        123.92807169415498,
        124.3091129269023,
        123.36923721199987,
        123.30023448935906,
        123.15126199917216,
        123.04895890468964,
        122.44085160740656,
        123.8729654834072,
        122.59088286564813,
        123.08225947514165,
        123.66985423696059,
        123.19715964980243,
        123.12431821113758,
        123.60435908563512,
        122.61141201568526,
        123.0295854806149,
        122.82279332910532,
        123.49519675704842,
        123.21041086378679,
        122.89740338616681,
        122.58857349348654,
        122.15896411069185,
        122.48515836588325,
        122.51863034011564,
        122.75008457739082,
        122.6269830840305,
        122.61273802924715,
        122.96171633931853,
        123.25324138776156,
        122.94184963011992,
        122.97603146723877,
        122.20748025708615,
        122.17829123906688,
        121.88811181856421,
        121.18459702056127,
        121.40419268459281,
        121.7428729544426,
        122.377008683737,
        121.94774175648625,
        122.58077096554271,
        122.67843399817991,
        122.80567430417388,
        122.58441755221592,
        124.37376396304462,
        123.17053163438756,
        122.63679989002041,
        123.43019611909642,
        123.56470673217783,
        123.72401280727289,
        123.21642635373243,
        121.71220843339246,
        118.5319378089009,
        116.71787778708357,
        117.66316785985985,
        118.70760154449908,
        117.92852152495507,
        118.9489121752545,
        116.19989214206227,
        117.51466593132378,
        118.39396674186753,
        118.6862769355197,
        119.9905094435447,
        121.09388376823073,
        122.33181198224774,
        122.01196798690918,
        119.02978151649452,
        113.15071349618842,
        106.73601837208376,
        100.90589806059842,
        92.9783651343557,
        90.97796187016876,
        89.22946716137994,
        84.55467447339757,
        86.10174512698319,
        85.35329817003465,
        82.51366244067229,
        78.74598739929141,
        77.03654475466872,
        79.39916664134,
        85.22173353574564,
        93.21765097401247,
        99.3868269626006,
        105.01392387506887,
        109.74740453352629,
        113.17790282716987,
        115.63699217067644,
        121.26603771821115,
        123.10845312780474,
        127.15685353898297,
        129.88379982693934,
        135.43804562495023,
        141.69759823704473,
        144.14990148308723,
        143.84672272979168,
        142.61472981105166,
        139.25237723933083,
        137.62081831382426,
        142.5298037299215,
        145.29500868565742,
        146.8510985822508,
        145.62670189254206,
        145.474906684797,
        149.26372921928743,
        149.67422971935193,
        153.3178612152222,
        154.64368361252514,
        153.43103036524343,
        156.8563051498474,
        159.393732356201,
        159.9271879521124,
        161.12340177554313,
        162.2029254935714,
        165.40378692291006,
        166.04955560223146,
        165.50868078087368,
        164.72267242339336,
        165.12378053429362,
        164.7962246639988,
        164.1719934433591,
        164.04844736129667,
        162.85412986132658,
        160.64627304500675,
        160.72539273250237,
        161.17120447992195,
        160.75192021676062,
        160.70701904032504,
        160.3943460308906,
        160.27849672963632,
        159.230668151287,
        160.48836400055606,
        160.07791278449582,
        158.8915380840537,
        158.0540788504093,
        159.4717744262536,
        159.98786308610056,
        159.68811857736196,
        160.68651418987787,
        159.52912450581604,
        158.94760267128945,
        159.39747891687458,
        160.8234256508781,
        159.79247090374957,
        160.31639842491572,
        160.56886814292153,
        159.54999941071557,
        160.29179781303037,
        160.67441131654547,
        159.6263939970662,
        159.31830366830025,
        158.43338453012768,
        158.90223846570345,
        159.12937725689363,
        159.48383602543112,
        160.12198391042116,
        160.4148602706782,
        159.5833476123103,
        160.47045180991714,
        159.34013884106352,
        160.01082061578362,
        159.54308207476245,
        160.37363527078523,
        160.13956200689609,
        159.8037544867432,
        159.86176780150916,
        160.11731951537536,
        159.76645548842617,
        160.59022311260657,
        160.58646203004136,
        160.2179155801902,
        160.75054780474164,
        160.17539733342295,
        159.98844646199495,
        160.31860881284427,
        160.2872208216408,
        160.76003799069255,
        159.38921255589244,
        160.44290911391147,
        160.17704097300873,
        160.0979704981653,
        160.0916459287786,
        160.08885872981685,
        160.23171933242895,
        160.0482104008982,
        159.56349466916183,
        159.13065060164786,
        159.72533130602724,
        159.06692040290363,
        158.90673295082763,
        158.62815282118063,
        159.20268578346983,
        158.63250647101376,
        159.15664124128435,
        158.42248163359005,
        158.02061044394398,
        159.23446708489507,
        158.60495735530031,
        158.51124538845494,
        158.59849408512488,
        157.6083642464909,
        157.42842010644517,
        157.2509500880864,
        156.95093868519933,
        154.7893727186535,
        153.06194816699224,
        153.16058765505574,
        150.50187662251298,
        149.45293278425507,
        148.294001827475,
        147.47072933332538,
        145.90139921700109,
        143.20442810435142,
        140.30351881992465,
        136.2546809709775,
        133.86313858878617,
        130.65126061086082,
        125.88306921393776,
        123.46994940142515,
        120.86039934437746,
        117.95450379295485,
        117.26018915535839,
        115.78603158958012,
        112.62356346110892,
        108.31791894972356,
        108.85472311922543,
        110.73745538211693,
        111.99846773661501,
        113.87082495793462,
        117.9232441512664,
        122.25203831616095,
        128.97702104431434,
        132.22516443462274,
        136.53409349507916,
        138.8025876799584,
        144.17859601915745,
        149.06298703644669,
        150.9437950721707,
        152.64197688628292,
        158.50626015368792,
        164.36720335025032,
        162.86857002949546,
        161.01669137014366,
        155.92184606267145,
        153.92229635177398,
        157.71440315888952,
        161.3081799265648,
        166.81444369864298,
        167.07657479653074,
        162.17587562278345,
        162.4621907676157,
        161.92007006830156,
        161.611542243091,
        157.92631325186156,
        149.592293247521,
        141.20452662703437,
        132.8112737756716,
        125.06750325484084,
        119.04955982342607,
        110.17976875173305,
        99.65289097075588,
        88.4215074515114,
        79.63515479480084,
        72.56627991686523,
        65.5251164583512,
        59.72447431854109,
        55.9978667321204,
        49.95992728386072,
        47.74989106926297,
        48.04267577569856,
        49.127499629803644,
        51.553267478823074,
        52.01204523306833,
        55.070219390005576,
        57.63973848393121,
        61.65851273076512,
        67.60055590075879,
        71.02696553392641,
        80.43344545194316,
        86.44221169436095,
        92.71384623601266,
        97.45022309648373,
        102.25178803209799,
        101.16585264076897,
        109.62759695334067,
        113.69494702802935,
        116.97937571080791,
        122.71911987801805,
        122.42703839338934,
        124.59038858917576,
        124.78100609284844,
        125.82165001882493,
        124.5976591381804,
        125.32720872287408,
        126.59650235020464,
        126.56250578298483,
        126.74105640734115,
        126.47082320291602,
        126.82153570119387,
        126.99125560364678,
        126.3017155716966,
        127.08501155948031,
        126.21753904478389,
        126.03445888483502,
        126.41914170129397,
        125.5586845336881,
        125.27171253988935,
        126.29010218066612,
        125.76905519024406,
        125.51998549730538,
        125.33472099755677,
        124.96573632005408,
        124.8186007793908,
        125.01265831037392,
        125.10867239069051,
        124.57427367192021,
        125.34781032758174,
        125.7772808159198,
        125.75636501685827,
        125.04258639276435,
        125.08607621887586,
        125.04412478151555,
        124.94693983665385,
        124.51608269945305,
        125.53704665428327,
        124.99629324275467,
        124.6472331629623,
        124.68158337091396,
        124.79949477076698,
        124.9357660986713,
        124.83603845233215,
        124.76344379608209,
        124.66571739788083,
        124.42270833410234,
        124.14592072906477,
        124.47896417301617,
        123.89217489229472,
        123.68486922720331,
        123.97743584612917,
        124.42651488268173,
        124.48120327134188,
        122.85329094799638,
        123.82815434508149,
        123.74684469667277,
        122.99179552725943,
        123.31130299024103,
        123.51299348856286,
        123.55478719713446,
        123.32773785203167,
        124.20306535214546,
        123.47913495447588,
        120.55725440743521,
        118.23737602627604,
        114.21002249093594,
        114.41304057677766,
        119.1239005446508,
        120.08790714516346,
        124.16022032252803,
        125.8705405565583,
        123.92177056131183,
        117.49582765340794,
        112.52791767340716,
        115.09998312172594,
        111.53549616909366,
        100.66554966813081,
        94.94111978425653,
        87.69872793551423,
        85.32361363124441,
        83.05588742966297,
        79.5302728426604,
        79.33914713277888,
        78.25089156062106,
        75.81895543620993,
        74.56835176603413,
        69.33750756744254,
        66.62302185448424,
        64.16300540605718,
        63.627847526754216,
        64.63660027919175,
        62.77151656311418,
        62.13914958867187,
        60.858347076976465,
        56.56018118535097,
        54.27730179054824,
        50.916641345741745,
        50.865981223880965,
        50.417058735637326,
        51.69985134174975,
        50.4397616437369,
        50.45698203754613,
        52.230855395859344,
        55.91375759398832,
        57.283288784102304,
        58.37383388387214,
        60.41515949761024,
        61.71475112093703,
        64.99843963366845,
        68.33245840554564,
        70.44424766934239,
        71.89228368156805,
        75.83628327388004,
        79.2543731458581,
        83.75784829295885,
        87.25467836032429,
        90.75502492531551,
        94.24008999162196,
        99.23882378446899,
        101.77530994650122,
        108.0595788008892,
        111.43501181343608,
        115.92617977825688,
        117.51387213654691,
        121.52368463795982,
        123.49202640407839,
        127.45208254694629,
        131.27215441231417,
        135.60418028214488,
        137.36872119125437,
        139.27119492413067,
        138.32241999394276,
        135.56829386126032,
        131.99094301877534,
        131.6537563112106,
        128.74885174085367,
        121.49613008072878,
        119.0695064990949,
        116.8432945656449,
        112.87994241274606,
        107.40457014957003,
        103.63087262852876,
        97.97987593445835,
        93.76321830929054,
        92.8950374966833,
        88.61063612161004,
        84.16713241242253,
        81.4950064978449,
        81.10786988227113,
        76.65951044624107,
        72.8268937845735,
        68.46969586788174,
        64.65166761907872,
        60.76957138033151,
        56.38125722992611,
        54.64014358887728,
        53.23577757611692,
        51.74098379588608,
        49.13548573122049,
        47.5112174355066,
        47.236805531367025,
        46.553344861869164,
        46.829540236462734,
        51.18913513389229,
        54.85602460296052,
        54.427555315793626,
        57.00917280338308,
        61.738500029386074,
        66.00511825215834,
        68.30062788573002,
        72.10445631846552,
        80.31574572067359,
        83.93010229931721,
        88.59860165753567,
        97.98918004421543,
        102.59749671552353,
        107.94148649741386,
        105.75524117834439,
        101.41479021065112,
        99.75891196027794,
        107.21626004608329,
        121.03806611737478,
        124.9466088710518,
        128.12465801190868,
        129.26020361052613,
        131.51572717202873,
        130.96438176825123,
        129.51452631558058,
        126.4757401134055,
        125.28851051040463,
        126.23507948163774,
        129.12846441540484,
        132.6943599154089,
        133.01513254346767,
        132.17080022644097,
        134.4369932378728,
        137.0611354903423,
        141.3903559018065,
        141.12324201486527,
        142.33743838033735,
        141.52071111105764,
        141.15031397980087,
        141.73839467819576,
        140.10937232730484,
        138.17985522585153,
        137.1974486329506,
        135.21646209117623,
        131.88237663212067,
        129.93713629526937,
        128.10757573985606,
        125.7827294419736,
        121.96150878837115,
        120.25924134397455,
        115.70181107283014,
        111.79032114790093,
        106.7970599258403,
        102.00927559474538,
        96.78764864961121,
        90.2956843673579,
        84.9931275960266,
        78.1957949442498,
        74.37323774360004,
        73.26030309357343,
        70.6456654939581,
        68.67608687765161,
        64.7406752496726,
        65.19994316744692,
        65.59676793940464,
        63.54475037495179,
        61.700493964664915,
        60.284265346960304,
        56.13517866376662,
        56.99324399513262,
        56.70337709082031,
        59.393229156701366,
        60.425493301504595,
        62.264957299038066,
        67.9753873689752,
        73.51269415942518,
        81.59750372909413,
        84.63767899380579,
        96.55907754119698,
        101.69578560906855,
        107.83851805319408,
        112.95619372474748,
        116.79624315132801,
        116.43996774366502,
        121.50554820518126,
        124.70451467131504,
        124.16223776903382,
        124.35749499862523,
        124.9954209452499,
        124.70847983182384,
        123.70583907452789,
        124.52659249222317,
        124.21689078665308,
        124.64345672661364,
        123.77829515051499,
        123.59142020974478,
        123.09944289157993,
        123.23028733339973,
        123.60365174116262,
        123.79916215637587,
        123.14190736495694,
        123.1675868872433,
        123.32766809057837,
        123.45943153797018,
        123.08639945381015,
        123.13073512417711,
        123.58269190611323,
        123.00923367644414,
        122.92176451903815,
        123.25497989705698,
        122.87591492320824,
        122.28718289071072,
        122.339954784746,
        121.93181333365251,
        122.03334432903213,
        121.96323658944479,
        121.7089068563071,
        121.87982401040115,
        121.62420086104134,
        122.03648099822315,
        121.91627763004986,
        121.85236347913276,
        122.25747745617052,
        138.22823190361575,
        137.33770054978103,
        137.8287197088547,
        138.46076957826966,
        137.09047448210555,
        136.83380277426932,
        137.39384282889972,
        136.811157704445,
        137.0088839453132,
        137.1713391530636,
        137.5483739648029,
        138.04136486590147,
        139.02007785598843,
        139.22614226098574,
        139.44767266254604,
        138.6765140715641,
        139.69145783042106,
        138.96419128036504,
        137.51022262791702,
        132.48211870691074,
        132.56805954426562,
        129.36773682368812,
        134.6933370068856,
        138.37814386372503,
        122.29067092973355,
        103.70482673198545,
        97.98042353710272,
        95.06216175389106,
        88.54462962946005,
        81.33248660279563,
        74.33186621767682,
        79.74381887736679,
        98.6662619282287,
        112.0789775313578,
        121.35815285009357,
        130.43696722687574,
        138.43407809680525,
        147.28990319914942,
        154.03528792726374,
        151.45410504542016,
        157.0139176605597,
        160.73833011735795,
        164.67950527292558,
        168.02019268685342,
        167.72263972878147,
        167.5306514384685,
        168.08951483411693,
        170.06736896317074,
        168.29612878204415,
        168.01319001278654,
        170.6211754865575,
        174.1022211521206,
        172.83239409847602,
        172.8068106422265,
        173.11848234682117,
        172.50335875727012,
        170.81139171409748,
        171.21033082862652,
        171.87534993727363,
        172.70973839561546,
        172.68587789165792,
        172.45321514130222,
        173.38461206607056,
        173.14135750164544,
        172.73343465993102,
        172.80545769095656,
        173.7365550882681,
        173.50306951235333,
        172.9204428224911,
        171.4927872155837,
        171.6387368336743,
        172.1727784626701,
        172.20729034306558,
        172.09902894948885,
        171.9464163305483,
        171.51890484370475,
        170.7760370022866,
        170.16262266105363,
        168.40724897753228,
        162.9319140438942,
        163.5401065452461,
        155.39143338226995,
        159.00989149295478,
        154.96714641638738,
        147.19214493362986,
        143.7745634394766,
        141.10735119638125,
        138.0940511518643,
        136.98585771657687,
        138.67005604909264,
        140.38306620897632,
        143.35506192410105,
        141.78188957722503,
        141.03370661091108,
        139.96321571649926,
        149.10616442432985,
        151.44746823746357,
        150.33278015946703,
        147.51027549856036,
        142.23430999522282,
        140.13181082349232,
        141.4276278344506,
        141.6086091985787,
        138.54978590432518,
        133.71469571547635,
        135.6406165259926,
        138.45615864383203,
        144.33193711026044,
        139.36233341893322,
        140.80933524633215,
        142.2669184308244,
        142.67221142336885,
        139.75226175315845,
        139.2303422087931,
        140.46869699343458,
        140.24269448202503,
        138.23747846463047,
        138.13386154882164,
        136.84551600903802,
        136.09004600273676,
        135.91437665216566,
        135.62918535145863,
        136.22485278206827,
        137.2490787076585,
        135.60457999165723,
        137.7105039697293,
        137.00886204343365,
        137.9441352732445,
        137.35078250963292,
        137.14681958609566,
        138.5916295744532,
        139.28005695291696,
        139.1661260368106,
        138.53447904408557,
        137.85099652357005,
        136.43522543140244,
        133.1583879470883,
        129.9679803988295,
        125.04522608208823,
        122.25172799042059,
        122.9107307248986,
        119.6975068276481,
        113.4097069257566,
        108.39301263773883,
        100.89530970869325,
        92.2345090456989,
        85.83428461224474,
        83.55678705595867,
        81.35956116216089,
        78.54103406907059,
        75.3531651375318,
        75.14978801835875,
        75.18478839186567,
        76.2909078278713,
        74.53293677651783,
        75.49704558414352,
        80.00409063424264,
        86.6791995702567,
        93.52431604251606,
        102.25831741080522,
        110.03227176934584,
        124.00876676064938,
        127.71047383751255,
        128.7779731987764,
        128.734183811429,
        127.58077594933464,
        126.86628101389489,
        127.07133334430326,
        126.65431759952507,
        126.35914110925411,
        125.6132802400732,
        125.76431236483612,
        124.6853513858617,
        124.57472462609358,
        124.52215987759604,
        124.86895928784459,
        123.82499101560606,
        124.19268102475263,
        124.41071897953783,
        123.18416535675502,
        123.45351102242182,
        123.42340955469874,
        122.46638984806278,
        123.05518947868127,
        122.92934568663838,
        123.67060610459517,
        123.80564777873357,
        124.21065418638987,
        124.28307417125937,
        124.93371093128226,
        125.54082359366247,
        125.71332524217931,
        125.29877791746163,
        124.37070522993369,
        119.95122313593643,
        118.88077289829842,
        119.69457160553897,
        122.95056137063919,
        125.57514718713622,
        129.91965843556045,
        126.94104524626093,
        117.04892939747003,
        112.49201171764281,
        108.2937188922562,
        104.11327435579526,
        98.78791444720932,
        95.19922593670115,
        93.19005133369782,
        102.26967336507609,
        105.56868167377355,
        106.9317166428742,
        111.93379751855618,
        116.80411528661062,
        127.65178166542196,
        131.8731056903027,
        137.29584607607538,
        136.5213470363193,
        143.60900896764556,
        144.8315251153355,
        142.7857496431138,
        141.59958919203027,
        141.9431855039111,
        139.8604541181995,
        138.84386606242484,
        137.906513427414,
        134.92652568471453,
        136.38148847188864,
        129.57088376550203,
        128.44713926965488,
        125.88100325638551,
        123.65881472431688,
        122.98517137239972,
        122.05510340936273,
        120.87108488667336,
        121.00847332565868,
        124.43070785543183,
        123.74180163481915,
        124.6639722567741,
        130.41072454370098,
        140.21789106707985,
        145.63255884088588,
        149.82416330288834,
        150.85208432499428,
        153.49514680677922,
        155.50666404921918,
        154.8994601353009,
        153.9140339346239,
        154.2719362084136,
        154.66944158974766,
        153.00213713082087,
        151.26436539666443,
        149.1650763229475,
        148.8048940330035,
        135.18373998488113,
        128.716358870706,
        115.01539187895803,
        103.1380177757148,
        89.82226474101796,
        77.88344840092276,
        70.80484987351518,
        71.98855757925818,
        72.74187463532736,
        71.0292748107407,
        71.91672416670669,
        72.61488785785892,
        75.79756690060536,
        84.5544628799992,
        97.36664818791202,
        112.13081161403524,
        119.59626301426945,
        123.1135013084304,
        120.88232851503044,
        128.72710734692282,
        132.41340094310152,
        139.56955561252462,
        140.38195798162712,
        138.6403316663356,
        138.18046810523762,
        137.71145503642816,
        139.45767534538442,
        140.03766876573795,
        138.47506629716727,
        136.00900464240166,
        135.75732288993441,
        136.64894922606737,
        136.09442174082116,
        135.79054261870212,
        135.79299752689354,
        136.1976650875127,
        136.24111891057052,
        135.40944568086894,
        136.18906625099314,
        135.77310206292537,
        136.02017116364323,
        135.2467359440676,
        136.04077287926634,
        136.00947478214903,
        137.8060661349638,
        136.4332791758172,
        135.68084102074695,
        135.66954095207169,
        135.32744207262886,
        135.98684450048745,
        136.75615067996827,
        135.98762153718627,
        136.63260964666713,
        136.30858884264453,
        135.81454036583722,
        135.92316994483542,
        136.42326109660885,
        136.08121557772483,
        136.28566766079237,
        131.59897221576378,
        122.13773917349653,
        127.36475595055032,
        130.38296831189857,
        134.12384134546804,
        137.02550259284502,
        136.04243016130533,
        122.98332103386824,
        105.67374529365134,
        99.63591755563128,
        95.05898654425921,
        89.04036709040778,
        81.35786891908529,
        77.67756759798955,
        75.77668365439264,
        73.38562167977103,
        75.78038770522551,
        78.01140696439971,
        75.37054072625732,
        78.78860965226215,
        78.67914925163649,
        81.9881112061468,
        85.43400376257043,
        90.09222002652598,
        95.89902052408381,
        102.56161674702481,
        104.98172778964445,
        104.99414459819698,
        106.49324508071724,
        107.74812210353802,
        106.83824217308056,
        105.90390624798852,
        105.15107160834785,
        104.4309468490036,
        103.44281205769592,
        102.02314291980413,
        103.10801895800607,
        105.06804072565028,
        106.41913483219392,
        107.15125144670702,
        107.58388127710148,
        106.69750468728641,
        105.08450122943127,
        105.20568923983639,
        104.97018381704315,
        105.59173897837364,
        107.17354202387928,
        106.8181827056838,
        108.03494176437829,
        107.48910189161566,
        107.31386240326665,
        108.13069439086074,
        107.11634619309696,
        107.76122033990937,
        107.90642469335369,
        109.07285047518563,
        108.35911602801575,
        107.79494823266364,
        107.4969594950086,
        108.00858975181934,
        107.78047019315454,
        109.83038121235691,
        109.44763309574842,
        109.1699041500891,
        109.59973777481513,
        110.2736232632353,
        110.19085277747644,
        109.76368076774979,
        109.96370489988394,
        109.25337130990552,
        110.00477611354926,
        109.41067125871241,
        109.76141673871562,
        109.72004991166841,
        110.45627025421946,
        110.4968489294353,
        110.8489597729294,
        109.99841579107587,
        110.24195527420771,
        110.60495622830787,
        110.83209454161909,
        112.75095124251271,
        112.41610459577088,
        111.43652992417611,
        110.83958333319926,
        111.17763598693043,
        111.30457501404257,
        111.4360771083984,
        110.07322627072853,
        109.3811451017775,
        109.10689018802881,
        110.49430264172909,
        109.3398506220687,
        109.1640635524952,
        109.12807038216296,
        107.83057937904162,
        106.85889682776629,
        107.09090711570649,
        106.73949941667263,
        106.68833440407005,
        106.40423104065316,
        106.72862159966039,
        104.03727598396893,
        104.43909791694928,
        105.99796762887347,
        104.1899366747662,
        106.03850654832702,
        106.36235785092838,
        109.56575267285628,
        110.35522424519384,
        108.926690898801,
        107.23530164099799,
        107.49878868988397,
        108.28685148377271,
        107.66028819802031,
        107.87614075309642,
        105.09950076812561,
        101.03516926212545,
        100.80359245359928,
        99.91814335099504,
        100.59615327988281,
        100.0682562805866,
        100.10948638196821,
        100.34790389751852,
        99.72228658351764,
        100.33325189352036,
        102.21437861636234,
        101.35885188142704,
        99.75336224035358,
        98.73477429559026,
        99.1771283627157,
        103.97029439721075,
        104.67646661668937,
        104.5957024014509,
        105.21582172278886,
        104.402919886092,
        105.18084380800529,
        104.31918545662785,
        103.06790796722076,
        99.48997937530689,
        92.45160770483741,
        81.1060753035996,
        74.50156756362392,
        73.66010344326145,
        73.99885199086796,
        76.02122287299898,
        74.75090601984016,
        74.49536638660186,
        72.35092447785848,
        72.73055228531341,
        74.60902233303982,
        73.72340168237868,
        74.50432580187766,
        74.07090205424687,
        72.92254050778935,
        72.39770358567294,
        67.92630353008786,
        63.276703912344,
        61.61796115438823,
        63.264928371342585,
        67.70407478966521,
        70.66384908391953,
        75.64891709813037,
        76.8223104722576,
        86.134774567544,
        95.5358184995736,
        100.71384222305036,
        98.42675506331194,
        97.31941921996011,
        101.86734288621228,
        104.51131613780711,
        109.61617955939948,
        116.7078960419324,
        124.50747017617749,
        125.66449564782877,
        130.08095147475237,
        132.35099288997986,
        133.006275885669,
        132.44194528790572,
        132.84102030676272,
        132.98749905553538,
        132.37981868908105,
        130.78778514566926,
        130.02869715791346,
        129.84740265912643,
        130.52992783779086,
        131.36295469989423,
        131.0332794290602,
        134.1375327116505,
        134.8818263792769,
        133.38506462614566,
        133.46378867998354,
        133.6746071202973,
        133.4672375346963,
        134.00640820714165,
        133.20867028014038,
        130.43100187926115,
        130.80788112113493,
        131.11253722302456,
        132.36640298278118,
        131.4477676502097,
        131.5441286553432,
        132.2161610729169,
        131.66018396851013,
        129.0674721124404,
        129.6424012404232,
        123.69737278642374,
        124.33341493965997,
        119.07416570978769,
        126.81715010508263,
        128.1130463569416,
        124.5885519010932,
        118.59158950792475,
        104.83791955441605,
        93.75215312146149,
        93.23416696839816,
        93.69248806178082,
        90.18159720637945,
        89.39385380020444,
        92.66193720729913,
        94.605159109225,
        97.1954238597305,
        99.55948422776001,
        102.26356372729002,
        108.37273798968734,
        109.38827979918842,
        108.79417136820913,
        109.10767141723151,
        108.99689700382676,
        107.91192127343892,
        107.47848161923712,
        106.40961371417062,
        105.10449358964249,
        101.14719362531949,
        96.13966760286861,
        93.49495189272706,
        92.48326822606408,
        92.94061921170663,
        92.92376916703259,
        90.6650097598008,
        92.17556821407625,
        93.36570167552809,
        95.9347189495854,
        100.04942415552128,
        103.08897312977987,
        104.04938403502084,
        104.03742654619558,
        103.32842189688861,
        103.35337852414906,
        101.1891174403814,
        100.67221638746014,
        96.68770471640957,
        93.10582920580875,
        89.47767396860932,
        86.64617078807804,
        85.60931455837175,
        85.23188859105942,
        85.72496740863102,
        85.15312468082077,
        85.80878645451222,
        85.07483464955448,
        84.77983682414224,
        82.66817599628469,
        86.21800093552065,
        87.06485891789569,
        91.85356656436359,
        98.05490258512762,
        100.87833803523175,
        100.76971960221579,
        100.71702173868339,
        101.09134271692221,
        100.60253920547932,
        100.36584372759833,
        98.4287300650032,
        97.60643011322014,
        93.68793486118074,
        89.66417290355064,
        89.4274740719724,
        89.1907271567449,
        88.93136998516238,
        89.04916874361808,
        88.7980276328317,
        88.46003349917358,
        87.64349609238892,
        85.22289134835395,
        84.57501192993965,
        82.1957642026954,
        78.00306634251417,
        69.8934428841756,
        60.38945239905631,
        55.261625068947,
        50.05534866822585,
        48.40474970972509,
        47.575864760918066,
        55.259449855973834,
        61.360793544187906,
        67.66871491574771,
        69.63490341834229,
        73.82215928584546,
        80.48459616452858,
        85.73368914424394,
        94.0970493344572,
        101.81403859833144,
        104.57999521005412,
        112.67818569367957,
        114.13182691362184,
        119.36016228288865,
        121.61383449824248,
        129.2871515988904,
        130.44975934571508,
        137.36047680508017,
        139.05247488654703,
        138.44029117951524,
        136.72033120374195,
        134.54165356126947,
        134.4655768881525,
        134.26066975368082,
        133.69277751843276,
        133.84081427992777,
        133.04416550038457,
        134.23986946838755,
        133.5640387597982,
        133.769616726337,
        134.34020111271056,
        133.65140308896872,
        134.64878165809358,
        136.15689838649598,
        135.66999891128214,
        135.49462048768297,
        136.59636229934372,
        134.75038272447824,
        134.10899702748694,
        135.62779367422053,
        135.4171108217546,
        134.4817427569522,
        133.5081300330123,
        134.5698068521947,
        134.72194217800103,
        132.6562524312116,
        134.15038545523728,
        135.451196295693,
        135.94400889234447,
        135.2643630150782,
        135.0608765947316,
        134.82945287151583,
        135.35407874348127,
        134.816136169316,
        135.65083198707364,
        135.25544449325386,
        135.35681503347058,
        135.3593963529611,
        135.873413025885,
        135.07163070819996,
        135.44033249749026,
        135.9499923791872,
        135.51062144453147,
        136.95850038262498,
        126.88472728244655,
        117.30989690962726,
        132.69997281109852,
        136.16888953828948,
        139.2264454159488,
        139.3460799668294,
        138.09565294354394,
        138.87271197994727,
        129.59781936571702,
        113.47978691838567,
        101.15102925114832,
        96.20324724015542,
        87.57188870634803,
        80.57567669311328,
        71.88123757690725,
        67.63427263730519,
        68.05750831880805,
        69.9000448275463,
        73.47504555219429,
        73.67720087946081,
        72.58595231477602,
        73.09322337870654,
        75.79369603443531,
        79.8366757082892,
        84.22207283608694,
        89.49900856436152,
        96.72497201984852,
        100.16296092553665,
        102.71591844010007,
        104.52280575748016,
        103.28230490192352,
        102.84630369095854,
        102.72717481642944,
        101.50201470363237,
        100.76911111211243,
        100.95812092596398,
        101.58759230785397,
        101.00296147598247,
        100.81286675424126,
        101.6635938042523,
        101.88209707045053,
        101.57260111600564,
        101.48655833271782,
        101.050445410319,
        100.70319142631045,
        101.18851638473058,
        101.55662268953547,
        101.15508956350254,
        101.53515357476577,
        101.66792280888795,
        102.26893624684713,
        101.75737158612736,
        101.71795789681424,
        101.66784900522931,
        101.93731805481141,
        101.98487159949288,
        101.55485850352207,
        98.96817273613524,
        89.27733247333089,
        79.2308418851541,
        73.72062427275016,
        69.99486651101641,
        68.94840637790959,
        70.2423350686072,
        71.67894241818558,
        74.21919306473788,
        76.83027740343498,
        80.73937427189786,
        85.43295461126134,
        89.28884367750179,
        93.87741753457098,
        97.3367936076222,
        102.45849421879639,
        105.52012648167019,
        106.49051453900118,
        108.49046182108111,
        109.43300487969586,
        115.43824000710485,
        118.22884150752309,
        117.67402195000831,
        117.5529990400772,
        117.16590710794532,
        117.6425016886381,
        117.89125132919112,
        116.9371374387052,
        116.86150642638319,
        116.81415466880001,
        117.63950111926029,
        117.9991006373229,
        118.06819873180619,
        118.71169234651788,
        118.45926681977868,
        118.79320782696416,
        119.21755931648858,
        118.02011934233767,
        118.86380026037774,
        119.13481155410864,
        119.89377821104998,
        120.51188979377261,
        120.04108397573438,
        120.21092990408884,
        121.56494824707484,
        122.59864400967236,
        121.4840190852909,
        120.086954888065,
        121.41171256630658,
        121.35281104453286,
        121.7786009459313,
        121.15388997395725,
        117.43862557669216,
        108.49797127715564,
        101.6256715994364,
        95.23197155948516,
        90.1738924880709,
        84.81086330117004,
        79.45804289302114,
        80.54091724461475,
        80.27087962728068,
        79.64887006172837,
        81.33950005411955,
        87.02728438886268,
        95.21395719878466,
        101.35725945688239,
        107.53103875638185,
        110.46056419964076,
        110.38638527192741,
        111.17440866142813,
        114.8793568942222,
        118.43431262874952,
        122.35436147352299,
        125.84477423773869,
        124.13152956974044,
        124.23970170603259,
        125.26377403497884,
        134.34067946002037,
        137.60228877178707,
        141.81618031392446,
        141.90252999314555,
        140.57107795715,
        140.45286239912036,
        141.3907154205065,
        138.9598611482869,
        137.87061111592044,
        137.4041800328885,
        139.10208475453513,
        139.12767397277892,
        138.03601923746893,
        136.92485308909897,
        136.96351557108096,
        137.54726921099905,
        137.30493019263486,
        137.22242812237468,
        136.6951402748943,
        135.4336426942796,
        136.6019935730545,
        137.61405287497973,
        138.31625437992122,
        138.8682983502905,
        139.81911023243717,
        129.68520252343907,
        122.61470117257618,
        136.59290431966767,
        141.36595366362468,
        144.30342787904243,
        139.68011499875544,
        137.22555957090688,
        129.60120493612825,
        123.17481183715266,
        108.9247453686101,
        95.00027813917853,
        90.15206413171903,
        89.43920196749,
        91.52952681872996,
        95.51609554737115,
        90.71575735127016,
        88.45111110800859,
        83.31409974719062,
        83.55263380883764,
        81.95138888773297,
        82.13177517333433,
        80.95685617771025,
        79.20074435696078,
        78.37986255786828,
        77.17415183615333,
        80.71102827291281,
        81.86632956250305,
        83.14586296657153,
        84.39841722095626,
        86.16417570608519,
        90.0847894819341,
        97.02683629882232,
        103.11536672432773,
        105.98709309866932,
        107.45781135282776,
        107.41171728474606,
        107.23014250573472,
        106.81597366814424,
        105.702974175278,
        104.89757342164457,
        103.52087997574873,
        103.70456740828102,
        100.96009693219214,
        101.60281933847948,
        102.14590928275024,
        105.35740991515992,
        107.02442779827295,
        107.8354618778463,
        108.62416702830919,
        108.22541881284155,
        109.59752133866284,
        109.82504339775224,
        110.14312354747163,
        109.41780381749746,
        109.06297559333129,
        109.30412722982389,
        109.57312063941437,
        109.72961032898807,
        109.33760957458546,
        109.73739221349176,
        108.94212384259043,
        109.96802733504211,
        108.6984913683749,
        109.17442669932979,
        109.7534552218558,
        109.13693431705428,
        108.9189973931207,
        109.30183482011698,
        109.4312438478822,
        108.99665434764923,
        108.85884616934011,
        107.3426764584718,
        104.53275426649748,
        96.04234049069322,
        88.35368375867661,
        80.6335629634139,
        75.85309099945721,
        74.0309486638658,
        73.91723558988829,
        72.11798574303192,
        72.22243922894796,
        72.01018047682822,
        74.07502314237904,
        76.61588540684528,
        75.44192418710212,
        75.91920825327063,
        81.99069153930859,
        85.36974753025302,
        88.23176973251202,
        93.99293976055924,
        102.57891963096891,
        108.21493040409592,
        111.70199896127092,
        114.6422623379962,
        120.74888021170526,
        129.32064303772412,
        135.5687437078677,
        138.30049065276611,
        139.78321465507665,
        139.16346256553055,
        139.77553981419928,
        139.4590802726745,
        139.17618416792791,
        138.33270987013807,
        136.1985568443674,
        136.5601382591712,
        137.5676337131703,
        137.44030025599582,
        137.5338053432114,
        135.18765316998048,
        136.3460429367876,
        136.74721065411322,
        136.68704221433353,
        136.43167309923416,
        136.1990860604699,
        136.03231068222294,
        136.2682701552021,
        135.5668258039676,
        136.19314772649986,
        135.68279873114645,
        134.99673710627607,
        133.44689586920094,
        134.5365767485437,
        135.3519007527914,
        135.54456746190078,
        125.18845876670065,
        121.266728333163,
        133.12381587696663,
        137.0489414564763,
        134.73720211326997,
        128.36063217749992,
        115.01877493878479,
        105.12656531595563,
        90.01684961427235,
        84.45313184780527,
        82.24262838910883,
        77.94461335214568,
        76.29428421367949,
        77.85063005397886,
        74.76750035916221,
        69.01591109530904,
        62.755850329363625,
        58.622671070095635,
        56.72464576661526,
        56.716602643921,
        60.80979490889438,
        64.0386592055269,
        70.23603443098662,
        74.48842773413308,
        79.55091014032345,
        83.02291604156378,
        86.00646556530808,
        88.86889574016877,
        91.43149666840145,
        91.09479955715132,
        92.26033896041011,
        92.27476110318607,
        92.16433183301646,
        94.07040641216973,
        93.74446883625252,
        92.96633851036998,
        92.7250926096869,
        92.92796384001359,
        93.37492027224313,
        92.59466788586073,
        93.51851621227499,
        94.17285060422086,
        93.70764777713026,
        93.98878743358758,
        94.70322778607472,
        94.64948112380833,
        94.12673665418532,
        94.2335650516336,
        94.6089256200672,
        95.28598224215565,
        95.23983563280099,
        96.15716249456507,
        95.86072113511767,
        94.7631365424073,
        94.93421874999947,
        96.05160589805516,
        97.04266414380481,
        96.62714008393766,
        95.97931957413779,
        89.35776288711158,
        85.42598224072877,
        83.39761569206279,
        84.84367764131473,
        82.08941149624357,
        79.83886462097468,
        76.11390118593229,
        74.26978080643536,
        72.09496923574747,
        72.08385524296055,
        72.52087781900359,
        72.33387983813701,
        74.03980649377212,
        75.56784034174208,
        77.49305156415133,
        78.79540645894289,
        80.03113678964563,
        83.18244717359298,
        85.74286675345913,
        90.99482819529396,
        92.57260958903106,
        91.84698422328285,
        92.24356951379966,
        92.40372897918871,
        91.68090746851465,
        91.75172885822509,
        92.32015588663967,
        92.83398289394721,
        94.8091529163502,
        94.8665755203305,
        93.87806134191447,
        93.26813006308751,
        93.50632559295147,
        92.0017227225408,
        93.07752385693402,
        93.26542245349432,
        92.16686088838289,
        93.48336407010733,
        93.0986498118259,
        93.27735712529864,
        92.99521048799157,
        94.34765621703295,
        94.2904459635415,
        93.71014173960535,
        94.20126373410275,
        92.27297451417975,
        82.26729449236832,
        80.30978403117471,
        75.90628833231982,
        71.66269239546328,
        67.88843783980619,
        67.97665978696209,
        67.70898979395787,
        64.20559097419341,
        65.42629338163682,
        66.59441044499695,
        68.20510018060608,
        70.73168004916772,
        79.64343095608886,
        92.43392323709166,
        101.04421764326038,
        104.02868237168106,
        108.36686267766953,
        112.0944748116199,
        119.30537829244423,
        118.232664158498,
        127.17717830375061,
        135.2309762610494,
        138.8984949216719,
        138.15654140639873,
        138.17546253060118,
        137.4867060674491,
        136.6582374830049,
        135.75728858023126,
        135.80689669517105,
        134.43147910628255,
        134.6955512946642,
        134.89717796894902,
        134.95284066226037,
        132.40851875460848,
        131.48689084982837,
        134.43904304623643,
        134.05144781267612,
        133.0195328497993,
        134.08186004172308,
        133.3482221650456,
        133.48338344963804,
        133.81596971129892,
        133.05933762638995,
        132.13337853509398,
        130.80214120200358,
        131.23756315558066,
        132.73885860965754,
        133.3793993891916,
        133.2785116255726,
        134.01621078884247,
        134.40773348636273,
        131.20965769277768,
        121.75313503719325,
        124.45780608338603,
        134.35599145676883,
        134.0769495394828,
        134.05123829170392,
        131.46230133215178,
        124.78728279835842,
        115.79485401893879,
        109.01714107025477,
        103.78992654542948,
        96.84703594823125,
        92.11867222436015,
        90.62579786147545,
        90.36604781515157,
        91.3650495512397,
        92.79784830720995,
        91.83900137328986,
        91.37001880681079,
        89.17835250176206,
        86.93981227538798,
        88.86013776885284,
        88.31196251398985,
        90.22784504889971,
        92.42638309188652,
        97.32879647366548,
        99.54620184447987,
        98.14370033944832,
        99.21395055600267,
        100.09216650774447,
        100.69829314488527,
        101.706899582658,
        101.71498732065155,
        101.95200732488858,
        101.0332054354035,
        99.90491934002834,
        99.40912615680253,
        99.16629701929439,
        97.79318829198132,
        97.38692780654334,
        98.6669939925581,
        98.86580173732509,
        101.46996165664103,
        104.52984578350002,
        104.88109191724988,
        104.6109762006311,
        103.50218712723228,
        104.38975584919187,
        103.7507919984648,
        104.7879204085988,
        104.14685110495402,
        97.62868417212664,
        89.31436089319605,
        83.80848701062598,
        79.74276909487324,
        79.08999710643911,
        79.97194298870524,
        78.2656112435376,
        76.82257667817736,
        73.81093527560553,
        75.5530008959294,
        74.21343531612824,
        74.36170283382653,
        77.47123010624375,
        82.74071107662449,
        90.57104960332792,
        94.36683232057615,
        105.06949758480363,
        119.03785843401927,
        127.5766753073611,
        131.0793332275097,
        124.78594724209634,
        123.45494047253561,
        122.81343023270921,
        126.0997522480107,
        123.43766076264441,
        123.55070238834874,
        130.7092590922157,
        135.70201530172395,
        136.55985553402257,
        136.00462614475134,
        136.13546534672025,
        136.52974453193747,
        135.21732782502977,
        135.89902590998437,
        135.63869352777087,
        136.14051170116736,
        135.24477425508218,
        135.15591748473224,
        134.96196977812514,
        134.8582933430483,
        135.30536477351546,
        135.44772022094253,
        135.18664831764784,
        135.51614338127527,
        134.89401218433716,
        135.11524646935428,
        134.3713834335264,
        134.9989934172075,
        134.79209664612233,
        134.6240525033162,
        133.84713721972483,
        133.71328667134082,
        131.93864094952116,
        132.89665698464006,
        134.33743746442545,
        135.46942103176823,
        135.01702964031065,
        134.8749371752693,
        135.32976268378977,
        136.0178476636828,
        134.11431447241827,
        133.73309837725597,
        135.40188047839507,
        135.37941496484078,
        135.73026593394124,
        136.13029142388174,
        135.76955143491585,
        135.66848321249998,
        135.57408084464362,
        135.7136391413806,
        136.2407969702779,
        136.03032499940954,
        136.0411482054282,
        136.12470027601466
    ],
    "average_depth_per_image": [
        2.143181562423706,
        2.1439316272735596,
        2.1445987224578857,
        2.144129991531372,
        2.1442055702209473,
        2.145524263381958,
        2.144120216369629,
        2.1444637775421143,
        2.1443443298339844,
        2.144373893737793,
        2.143925905227661,
        2.143737554550171,
        2.143564462661743,
        2.14304256439209,
        2.1436009407043457,
        2.1434202194213867,
        2.145174741744995,
        2.1449148654937744,
        2.144043207168579,
        2.1438963413238525,
        2.14504337310791,
        2.144756555557251,
        2.1444575786590576,
        2.143827438354492,
        2.1446406841278076,
        2.1434402465820312,
        2.144346237182617,
        2.1438353061676025,
        2.1442317962646484,
        2.144148588180542,
        2.1441404819488525,
        2.1437010765075684,
        2.143566131591797,
        2.1438679695129395,
        2.143998146057129,
        2.144947052001953,
        2.1436140537261963,
        2.1437532901763916,
        2.1456446647644043,
        2.144749402999878,
        2.144993782043457,
        2.144707441329956,
        2.143951892852783,
        2.1435344219207764,
        2.144378423690796,
        2.1443512439727783,
        2.1446518898010254,
        2.144449472427368,
        2.145639657974243,
        2.1446101665496826,
        2.1441378593444824,
        2.1440298557281494,
        2.144279956817627,
        2.1447153091430664,
        2.144796133041382,
        2.144334077835083,
        2.144693613052368,
        2.143772840499878,
        2.1432034969329834,
        2.143486499786377,
        2.1448628902435303,
        2.1434378623962402,
        2.1434810161590576,
        2.144059896469116,
        2.1450002193450928,
        2.1438992023468018,
        2.1441051959991455,
        2.143585443496704,
        2.1447436809539795,
        2.1437249183654785,
        2.144543409347534,
        2.03212571144104,
        1.9600685834884644,
        1.8274770975112915,
        1.7459641695022583,
        1.6128636598587036,
        1.5029239654541016,
        1.322763204574585,
        1.2456802129745483,
        1.213091492652893,
        1.2578803300857544,
        1.0901011228561401,
        1.032939076423645,
        0.8954598903656006,
        0.7997458577156067,
        0.7862913012504578,
        0.6943725943565369,
        0.6380178928375244,
        0.5975170135498047,
        0.5468318462371826,
        0.5667173266410828,
        0.5609182119369507,
        0.5698089599609375,
        0.5858637094497681,
        0.6239304542541504,
        0.6653895974159241,
        0.7115025520324707,
        0.7747389674186707,
        0.8614994883537292,
        0.9545478224754333,
        1.0769896507263184,
        1.2233487367630005,
        1.3667043447494507,
        1.5028115510940552,
        1.6240075826644897,
        1.7317328453063965,
        1.8473528623580933,
        1.9459060430526733,
        1.9940247535705566,
        2.0477983951568604,
        2.0710787773132324,
        2.0881540775299072,
        2.1101415157318115,
        2.1474273204803467,
        2.1492466926574707,
        2.148069143295288,
        2.1487278938293457,
        2.14477801322937,
        2.144388198852539,
        2.144254446029663,
        2.1432745456695557,
        2.1448214054107666,
        2.1429622173309326,
        2.1432082653045654,
        2.1430611610412598,
        2.143533945083618,
        2.142409324645996,
        2.1445975303649902,
        2.144301176071167,
        2.142986536026001,
        2.143145799636841,
        2.1445062160491943,
        2.144625186920166,
        2.1455042362213135,
        2.143610954284668,
        2.1445376873016357,
        2.145204544067383,
        2.1447675228118896,
        2.144604444503784,
        2.141892671585083,
        2.1429030895233154,
        2.1422741413116455,
        2.1434502601623535,
        2.1436774730682373,
        2.143315553665161,
        2.141988754272461,
        2.14426326751709,
        2.1439692974090576,
        2.1436808109283447,
        2.145395040512085,
        2.1450130939483643,
        2.1446425914764404,
        2.1446306705474854,
        2.1447527408599854,
        2.1438796520233154,
        2.1435301303863525,
        2.143085479736328,
        2.1435484886169434,
        2.143277883529663,
        2.1434295177459717,
        2.143768072128296,
        2.1435625553131104,
        2.1428487300872803,
        2.1439123153686523,
        2.1425609588623047,
        2.1441543102264404,
        2.1438233852386475,
        2.1447317600250244,
        2.1434364318847656,
        2.1441314220428467,
        2.143514633178711,
        2.142587900161743,
        2.144238233566284,
        2.1005637645721436,
        1.9893698692321777,
        1.808824896812439,
        1.7099956274032593,
        1.6218479871749878,
        1.7613388299942017,
        1.7866016626358032,
        1.8522037267684937,
        1.8334132432937622,
        1.8447054624557495,
        1.8594406843185425,
        1.8568185567855835,
        1.802834153175354,
        1.7540483474731445,
        1.5472793579101562,
        1.2574180364608765,
        1.02365243434906,
        0.900134801864624,
        0.7787541747093201,
        0.729501485824585,
        0.6879944801330566,
        0.7781999707221985,
        0.9396936297416687,
        1.084450602531433,
        1.1466857194900513,
        1.247851848602295,
        1.3015122413635254,
        1.360738754272461,
        1.4075056314468384,
        1.4471513032913208,
        1.4793661832809448,
        1.493393898010254,
        1.508323311805725,
        1.5133986473083496,
        1.5035605430603027,
        1.4872740507125854,
        1.4511791467666626,
        1.4066146612167358,
        1.349008560180664,
        1.2975455522537231,
        1.2248841524124146,
        1.1487606763839722,
        1.0665751695632935,
        0.9689867496490479,
        0.8614676594734192,
        0.7333712577819824,
        0.722421407699585,
        0.7494109272956848,
        0.7759941220283508,
        0.8341571688652039,
        0.8745952248573303,
        0.938995361328125,
        0.9731011986732483,
        1.0213102102279663,
        1.0756062269210815,
        1.1738260984420776,
        1.1969021558761597,
        1.433699131011963,
        1.5925229787826538,
        1.665974736213684,
        1.6171239614486694,
        1.3444448709487915,
        1.2672879695892334,
        1.0937458276748657,
        1.219591736793518,
        1.325827956199646,
        1.5030097961425781,
        1.6455007791519165,
        1.7690306901931763,
        1.9433683156967163,
        2.0488407611846924,
        2.1552250385284424,
        2.1542301177978516,
        2.1529829502105713,
        2.1506104469299316,
        2.152667760848999,
        2.1529324054718018,
        2.152078866958618,
        2.147939443588257,
        2.146674394607544,
        2.146535634994507,
        2.1466095447540283,
        2.146697998046875,
        2.1472253799438477,
        2.1468234062194824,
        2.1469523906707764,
        2.145822048187256,
        2.145792245864868,
        2.1452224254608154,
        2.1461267471313477,
        2.1444242000579834,
        2.144442319869995,
        2.14521861076355,
        2.145592451095581,
        2.142171621322632,
        2.143826484680176,
        2.1426026821136475,
        2.1448171138763428,
        2.144665479660034,
        2.1441736221313477,
        2.1437203884124756,
        2.143219232559204,
        2.143915891647339,
        2.1432411670684814,
        2.145012378692627,
        2.1443376541137695,
        2.1446664333343506,
        2.143906831741333,
        2.1426703929901123,
        2.1425349712371826,
        2.143754720687866,
        2.143498182296753,
        2.1438872814178467,
        2.1436190605163574,
        2.1431853771209717,
        2.143172264099121,
        2.144360303878784,
        2.142864942550659,
        2.1422340869903564,
        2.1431312561035156,
        2.142510414123535,
        2.143066167831421,
        2.1430671215057373,
        2.141792058944702,
        2.1422016620635986,
        2.1439578533172607,
        2.1423752307891846,
        2.1431591510772705,
        2.1439812183380127,
        2.1448943614959717,
        2.1427133083343506,
        2.1425106525421143,
        2.1449830532073975,
        2.1424388885498047,
        2.1440846920013428,
        2.1451528072357178,
        2.1450841426849365,
        2.1448147296905518,
        2.1456518173217773,
        2.1449620723724365,
        2.1442956924438477,
        2.143542528152466,
        2.144746780395508,
        2.1441633701324463,
        2.1426479816436768,
        2.144005298614502,
        2.143824338912964,
        2.1435248851776123,
        2.1449880599975586,
        2.1444289684295654,
        2.1452019214630127,
        2.1439003944396973,
        2.1441307067871094,
        2.144399404525757,
        2.1434075832366943,
        2.1427228450775146,
        2.1432387828826904,
        2.144209861755371,
        2.14365553855896,
        2.1444761753082275,
        2.1434273719787598,
        2.1432228088378906,
        2.143364906311035,
        2.143101930618286,
        2.143110513687134,
        2.1426947116851807,
        2.1423799991607666,
        2.14428448677063,
        2.145212411880493,
        2.144261121749878,
        2.144054889678955,
        2.143310546875,
        2.1429083347320557,
        2.1441903114318848,
        2.1435940265655518,
        2.1439478397369385,
        2.144495725631714,
        2.144472360610962,
        2.1449241638183594,
        2.145012140274048,
        2.1448843479156494,
        2.1442244052886963,
        2.144482374191284,
        2.144822835922241,
        2.1452219486236572,
        2.144972562789917,
        2.145888090133667,
        2.144899606704712,
        2.1439058780670166,
        2.1441452503204346,
        2.144683361053467,
        2.14487624168396,
        2.1459996700286865,
        2.14441180229187,
        2.142988681793213,
        2.143688917160034,
        2.1447598934173584,
        2.144862413406372,
        2.144718885421753,
        2.144702196121216,
        2.1443567276000977,
        2.1434595584869385,
        2.142441987991333,
        2.1434872150421143,
        2.1447973251342773,
        2.1446402072906494,
        2.1445538997650146,
        2.1445796489715576,
        2.1452486515045166,
        2.144057512283325,
        2.1440494060516357,
        2.144415855407715,
        2.143887758255005,
        2.1432652473449707,
        2.145378351211548,
        2.1421327590942383,
        2.1426947116851807,
        2.1452910900115967,
        2.143505573272705,
        2.1434638500213623,
        2.1446382999420166,
        2.145037889480591,
        2.145115852355957,
        2.1442577838897705,
        2.143470287322998,
        2.1437244415283203,
        2.144242286682129,
        2.1457669734954834,
        2.1453309059143066,
        2.1456656455993652,
        2.143724203109741,
        2.1448283195495605,
        2.1444337368011475,
        2.14410662651062,
        2.1446774005889893,
        2.1446259021759033,
        2.1451830863952637,
        2.1460416316986084,
        2.1440651416778564,
        2.1447086334228516,
        2.1431872844696045,
        2.1442527770996094,
        2.145746946334839,
        2.1443698406219482,
        2.1449649333953857,
        2.1444461345672607,
        2.146512031555176,
        2.1438612937927246,
        2.144425630569458,
        2.145132541656494,
        2.145237922668457,
        2.1444530487060547,
        2.1441967487335205,
        2.144807815551758,
        2.1464836597442627,
        2.144596576690674,
        2.144497871398926,
        2.1439590454101562,
        2.1443846225738525,
        2.1441166400909424,
        2.1436495780944824,
        2.14327073097229,
        2.1438100337982178,
        2.1437911987304688,
        2.143244743347168,
        2.14477801322937,
        2.144892692565918,
        2.142760992050171,
        2.1427977085113525,
        2.143296480178833,
        2.144608497619629,
        2.143786907196045,
        2.1450655460357666,
        2.145747661590576,
        2.144911527633667,
        2.1429615020751953,
        2.143723487854004,
        2.144944429397583,
        2.1430203914642334,
        2.1466643810272217,
        2.14397931098938,
        2.142336368560791,
        2.14324951171875,
        2.144124984741211,
        2.1428873538970947,
        2.1440436840057373,
        2.143711566925049,
        2.1436243057250977,
        2.1443450450897217,
        2.144618034362793,
        2.144498586654663,
        2.1435773372650146,
        2.143855333328247,
        2.1442251205444336,
        2.146369695663452,
        2.1439437866210938,
        2.145311117172241,
        2.14441180229187,
        2.143612861633301,
        2.1426608562469482,
        2.1437928676605225,
        2.1446855068206787,
        2.144028663635254,
        2.1436965465545654,
        2.1447715759277344,
        2.143930196762085,
        2.143108606338501,
        2.1440224647521973,
        2.1445152759552,
        2.1424560546875,
        2.144021511077881,
        2.1431994438171387,
        2.1432044506073,
        2.1441261768341064,
        2.1452078819274902,
        2.1447598934173584,
        2.145418405532837,
        2.1449708938598633,
        2.1441657543182373,
        2.1424448490142822,
        2.1431243419647217,
        2.1444828510284424,
        2.14428448677063,
        2.144714593887329,
        2.145292043685913,
        2.1434667110443115,
        2.144228935241699,
        2.144385576248169,
        2.144061803817749,
        2.14363694190979,
        2.1427011489868164,
        2.1438581943511963,
        2.143594741821289,
        2.1442205905914307,
        2.1442627906799316,
        2.143470287322998,
        2.1443734169006348,
        2.1434998512268066,
        2.1430017948150635,
        2.144137144088745,
        2.143632650375366,
        2.1440110206604004,
        2.1428987979888916,
        2.1444172859191895,
        2.144057273864746,
        2.1446690559387207,
        2.1434166431427,
        2.144012212753296,
        2.1435587406158447,
        2.1436564922332764,
        2.1426942348480225,
        2.145263433456421,
        2.144026041030884,
        2.1441657543182373,
        2.1434972286224365,
        2.1445095539093018,
        2.144422769546509,
        2.1433255672454834,
        2.1426491737365723,
        2.1442272663116455,
        2.1423516273498535,
        2.1442980766296387,
        2.1442835330963135,
        2.1450955867767334,
        2.1429364681243896,
        2.144927978515625,
        2.1437840461730957,
        2.1427881717681885,
        2.1434810161590576,
        2.1433589458465576,
        2.1443662643432617,
        2.144003391265869,
        2.142751932144165,
        2.1424520015716553,
        2.1433262825012207,
        2.1438357830047607,
        2.142017126083374,
        2.1522746086120605,
        2.025557041168213,
        1.9717108011245728,
        2.028397798538208,
        2.0478904247283936,
        2.0497097969055176,
        2.013873815536499,
        1.9905983209609985,
        1.9459129571914673,
        1.85358464717865,
        1.8147779703140259,
        1.735605239868164,
        1.6659198999404907,
        1.667575716972351,
        1.6362981796264648,
        1.6348075866699219,
        1.6239962577819824,
        1.6187262535095215,
        1.612998127937317,
        1.5947712659835815,
        1.5852926969528198,
        1.5970619916915894,
        1.6014879941940308,
        1.6206601858139038,
        1.6264115571975708,
        1.654037356376648,
        1.6664985418319702,
        1.6914582252502441,
        1.7065356969833374,
        1.7236175537109375,
        1.745928168296814,
        1.7595614194869995,
        1.7666493654251099,
        1.7790846824645996,
        1.7987704277038574,
        1.8281468152999878,
        1.8445844650268555,
        1.8526803255081177,
        1.8500901460647583,
        1.871085524559021,
        1.8928018808364868,
        1.9070030450820923,
        1.915906310081482,
        1.921385407447815,
        1.9328556060791016,
        1.942811131477356,
        1.9508312940597534,
        1.952478289604187,
        1.959227442741394,
        1.9768329858779907,
        1.9871402978897095,
        1.9756698608398438,
        1.9838666915893555,
        1.9841066598892212,
        1.9903150796890259,
        1.994322419166565,
        1.9972699880599976,
        2.0004031658172607,
        2.0034139156341553,
        2.00673770904541,
        2.0076003074645996,
        2.011986017227173,
        2.0127575397491455,
        2.0178110599517822,
        2.01975417137146,
        2.0178492069244385,
        2.0200541019439697,
        2.0161144733428955,
        2.0189220905303955,
        2.0294830799102783,
        2.029284954071045,
        2.030545473098755,
        2.0320956707000732,
        2.030586004257202,
        2.038315773010254,
        2.0391390323638916,
        2.040048360824585,
        2.039599657058716,
        2.039898157119751,
        2.0412023067474365,
        2.0423614978790283,
        2.042755603790283,
        2.0409963130950928,
        2.0469250679016113,
        2.0479118824005127,
        2.0489814281463623,
        2.0487987995147705,
        2.0499212741851807,
        2.05076265335083,
        2.0512282848358154,
        2.051724433898926,
        2.052180528640747,
        2.0528407096862793,
        2.0516157150268555,
        2.0516655445098877,
        2.0511069297790527,
        2.0509719848632812,
        2.0510175228118896,
        2.0521926879882812,
        2.0506536960601807,
        2.0498435497283936,
        2.047926187515259,
        2.0495760440826416,
        2.048792839050293,
        2.0472967624664307,
        2.0451581478118896,
        2.0467355251312256,
        2.045759916305542,
        2.044440984725952,
        2.0414083003997803,
        2.041321039199829,
        2.0372865200042725,
        2.0362436771392822,
        2.0321462154388428,
        2.0279855728149414,
        2.0184640884399414,
        2.0214293003082275,
        2.0180084705352783,
        2.0117757320404053,
        2.0071208477020264,
        2.005662679672241,
        1.9985827207565308,
        1.991705060005188,
        1.9875696897506714,
        1.984912395477295,
        1.9809956550598145,
        1.9726325273513794,
        1.971950888633728,
        1.9647802114486694,
        1.9568623304367065,
        1.9568129777908325,
        1.9504632949829102,
        1.943996787071228,
        1.9383186101913452,
        1.933510422706604,
        1.9260646104812622,
        1.913945198059082,
        1.9089089632034302,
        1.9030566215515137,
        1.8960604667663574,
        1.8939671516418457,
        1.8955227136611938,
        1.8948193788528442,
        1.8711175918579102,
        1.8563575744628906,
        1.8783082962036133,
        1.932924747467041,
        1.9382963180541992,
        1.9445234537124634,
        1.9121274948120117,
        1.9227534532546997,
        1.923013687133789,
        1.9257794618606567,
        1.9223805665969849,
        1.9180917739868164,
        1.9063830375671387,
        1.9117584228515625,
        1.9023361206054688,
        1.9034847021102905,
        1.9162812232971191,
        1.9086288213729858,
        1.8968567848205566,
        1.8970328569412231,
        1.8853645324707031,
        1.8792405128479004,
        1.8747291564941406,
        1.8101085424423218,
        1.8022559881210327,
        1.82307767868042,
        1.7669514417648315,
        1.7498664855957031,
        1.7423148155212402,
        1.7576433420181274,
        1.744367003440857,
        1.71104097366333,
        1.6824530363082886,
        1.661908745765686,
        1.6309322118759155,
        1.6184555292129517,
        1.611383080482483,
        1.5579346418380737,
        1.5569238662719727,
        1.4847369194030762,
        1.468492865562439,
        1.4767204523086548,
        1.4761848449707031,
        1.4909833669662476,
        1.488489031791687,
        1.5237812995910645,
        1.5446103811264038,
        1.596936821937561,
        1.628313422203064,
        1.6818714141845703,
        1.7695913314819336,
        1.8328957557678223,
        1.9670114517211914,
        1.9860211610794067,
        2.0009653568267822,
        2.0366475582122803,
        2.059983968734741,
        2.091399669647217,
        2.1450769901275635,
        2.143500566482544,
        2.1422173976898193,
        2.144037961959839,
        2.1442272663116455,
        2.142338514328003,
        2.142742872238159,
        2.143824815750122,
        2.144484519958496,
        2.143353223800659,
        2.142010450363159,
        2.1429603099823,
        2.14374041557312,
        2.142275094985962,
        2.1427836418151855,
        2.1423747539520264,
        2.1434643268585205,
        2.141920328140259,
        2.1426639556884766,
        2.14154052734375,
        2.144298791885376,
        2.1417007446289062,
        2.142133951187134,
        2.142806053161621,
        2.142564058303833,
        2.145453453063965,
        2.143010139465332,
        2.145953893661499,
        2.1443803310394287,
        2.143815279006958,
        2.1422717571258545,
        2.142721176147461,
        2.1434078216552734,
        2.1452677249908447,
        2.1429693698883057,
        2.143885850906372,
        2.1438241004943848,
        2.1432418823242188,
        2.14302921295166,
        2.1450719833374023,
        2.143920421600342,
        2.1431477069854736,
        2.143523931503296,
        2.1445200443267822,
        2.142859935760498,
        2.1443777084350586,
        2.144468069076538,
        2.144900321960449,
        2.1444292068481445,
        2.144951343536377,
        2.1437928676605225,
        2.1422693729400635,
        2.1433589458465576,
        2.1419241428375244,
        2.14456844329834,
        2.1441996097564697,
        2.1441314220428467,
        2.142935037612915,
        2.144866704940796,
        2.1436290740966797,
        2.142669439315796,
        2.143643617630005,
        2.142328977584839,
        2.1424343585968018,
        2.1430575847625732,
        2.1429903507232666,
        2.1431851387023926,
        2.1432363986968994,
        2.14202880859375,
        2.142747402191162,
        2.1432249546051025,
        2.142118215560913,
        2.144429922103882,
        2.1419076919555664,
        2.1419677734375,
        2.1421802043914795,
        2.143043279647827,
        2.143702507019043,
        2.1429905891418457,
        2.143315553665161,
        2.142436981201172,
        2.14294171333313,
        2.142139196395874,
        2.1423091888427734,
        2.1433913707733154,
        2.143481492996216,
        2.143141984939575,
        2.14237380027771,
        2.1421239376068115,
        2.1422040462493896,
        2.1417465209960938,
        2.1432297229766846,
        2.143373727798462,
        2.142683267593384,
        2.1441895961761475,
        2.1437766551971436,
        2.1420817375183105,
        2.142324209213257,
        2.141512632369995,
        2.1424453258514404,
        2.141932249069214,
        2.142017126083374,
        2.1422605514526367,
        2.141834020614624,
        2.1433451175689697,
        2.1441943645477295,
        2.1427829265594482,
        2.143112897872925,
        2.1418278217315674,
        2.143394708633423,
        2.1441924571990967,
        2.1433188915252686,
        2.143515110015869,
        2.1424720287323,
        2.1434595584869385,
        2.143101453781128,
        2.1428191661834717,
        2.1422178745269775,
        2.1420722007751465,
        2.143089532852173,
        2.1434030532836914,
        2.1428914070129395,
        2.142496109008789,
        2.1425716876983643,
        2.1430394649505615,
        2.142284393310547,
        2.1411612033843994,
        2.1437556743621826,
        2.1417019367218018,
        2.142537832260132,
        2.1436550617218018,
        2.1434905529022217,
        2.1423227787017822,
        2.143627643585205,
        2.1428897380828857,
        2.143057346343994,
        2.1441447734832764,
        2.143331527709961,
        2.142956495285034,
        2.1422622203826904,
        2.1413848400115967,
        2.143674612045288,
        2.1433496475219727,
        2.144533634185791,
        2.1417152881622314,
        2.1432855129241943,
        2.1418750286102295,
        2.143094301223755,
        2.143537759780884,
        2.1417510509490967,
        2.1439077854156494,
        2.1422841548919678,
        2.143150568008423,
        2.1429030895233154,
        2.1419179439544678,
        2.1424930095672607,
        2.142648220062256,
        2.1428279876708984,
        2.1427969932556152,
        2.1432807445526123,
        2.142922878265381,
        2.141803503036499,
        2.141956329345703,
        2.1430511474609375,
        2.1417367458343506,
        2.1429331302642822,
        2.1413893699645996,
        2.143578290939331,
        2.1417362689971924,
        2.1423490047454834,
        2.1418817043304443,
        2.142296075820923,
        2.142066478729248,
        2.142650604248047,
        2.1442711353302,
        2.1427712440490723,
        2.1427602767944336,
        2.1421878337860107,
        2.1424527168273926,
        2.1423208713531494,
        2.1427321434020996,
        2.142500162124634,
        2.141944646835327,
        2.1438839435577393,
        2.1419098377227783,
        2.142848014831543,
        2.144240140914917,
        2.141489267349243,
        2.1435306072235107,
        2.1421170234680176,
        2.1427102088928223,
        2.141862154006958,
        2.142798900604248,
        2.1419169902801514,
        2.141711473464966,
        2.142503499984741,
        2.1413190364837646,
        2.1432971954345703,
        2.1421947479248047,
        2.142890214920044,
        2.1423180103302,
        2.1437761783599854,
        2.1434688568115234,
        2.1425607204437256,
        2.142535448074341,
        2.1417102813720703,
        2.1424472332000732,
        2.1420633792877197,
        2.1426990032196045,
        2.142416000366211,
        2.1426808834075928,
        2.144273519515991,
        2.144916296005249,
        2.143345355987549,
        2.142141342163086,
        2.142047643661499,
        2.14203143119812,
        2.1436078548431396,
        2.1435234546661377,
        2.142085313796997,
        2.1424639225006104,
        2.143455743789673,
        2.1429283618927,
        2.1420421600341797,
        2.141810417175293,
        2.1437275409698486,
        2.1422719955444336,
        2.141338348388672,
        2.1437113285064697,
        2.143794298171997,
        2.142996072769165,
        2.143264055252075,
        2.1436009407043457,
        2.1426808834075928,
        2.143122911453247,
        2.14408802986145,
        2.1421926021575928,
        2.1420366764068604,
        2.1430916786193848,
        2.1431884765625,
        2.1431267261505127,
        2.1414706707000732,
        2.1425507068634033,
        2.1436102390289307,
        2.142383337020874,
        2.1431705951690674,
        2.1437439918518066,
        2.1427736282348633,
        2.1423823833465576,
        2.1430838108062744,
        2.141866445541382,
        2.143721342086792,
        2.144489288330078,
        2.143145799636841,
        2.142300605773926,
        2.141345739364624,
        2.14365816116333,
        2.144601583480835,
        2.1431610584259033,
        2.1430065631866455,
        2.141556739807129,
        2.143674612045288,
        2.143216848373413,
        2.1419525146484375,
        2.1422388553619385,
        2.1427338123321533,
        2.1430811882019043,
        2.143784761428833,
        2.1426174640655518,
        2.1437418460845947,
        2.142932891845703,
        2.142835855484009,
        2.1432321071624756,
        2.1436591148376465,
        2.144275665283203,
        2.1433722972869873,
        2.1427643299102783,
        2.142129421234131,
        2.143195867538452,
        2.1441709995269775,
        2.1421968936920166,
        2.143693208694458,
        2.143695831298828,
        2.142460346221924,
        2.1424622535705566,
        2.142987012863159,
        2.1425998210906982,
        2.143493413925171,
        2.142362594604492,
        2.1415038108825684,
        2.1420319080352783,
        2.1442487239837646,
        2.1431469917297363,
        2.143089532852173,
        2.1441450119018555,
        2.1430532932281494,
        2.1437675952911377,
        2.1429851055145264,
        2.1412832736968994,
        2.1434378623962402,
        2.1431233882904053,
        2.142225980758667,
        2.141897439956665,
        2.1428380012512207,
        2.143972396850586,
        2.14290714263916,
        2.1435225009918213,
        2.142954111099243,
        2.1429169178009033,
        2.1425881385803223,
        2.1423466205596924,
        2.142307758331299,
        2.1426963806152344,
        2.1440982818603516,
        2.143988847732544,
        2.142723798751831,
        2.1435887813568115,
        2.1446170806884766,
        2.1434247493743896,
        2.143794298171997,
        2.1439898014068604,
        2.1444380283355713,
        2.143132209777832,
        2.1431617736816406,
        2.1425538063049316,
        2.1419265270233154,
        2.1436848640441895,
        2.1431081295013428,
        2.1432855129241943,
        2.145387649536133,
        2.144993305206299,
        2.1437323093414307,
        2.143559694290161,
        2.143247127532959,
        2.144659996032715,
        2.1420984268188477,
        2.1435048580169678,
        2.143404006958008,
        2.1436405181884766,
        2.1445090770721436,
        2.1447439193725586,
        2.143510103225708,
        2.1445679664611816,
        2.1436920166015625,
        2.143747091293335,
        2.142984628677368,
        2.143024206161499,
        2.143277168273926,
        2.144089460372925,
        2.1441049575805664,
        2.1446430683135986,
        2.14436411857605,
        2.143608808517456,
        2.142977476119995,
        2.1420183181762695,
        2.1425530910491943,
        2.1424713134765625,
        2.143003225326538,
        2.143866539001465,
        2.144014596939087,
        2.1435396671295166,
        2.1421844959259033,
        2.1430552005767822,
        2.143239974975586,
        2.1431920528411865,
        2.1426374912261963,
        2.143106460571289,
        2.1436033248901367,
        2.143479585647583,
        2.145258665084839,
        2.141732931137085,
        2.1427605152130127,
        2.1431386470794678,
        2.1430017948150635,
        2.142582654953003,
        2.1424293518066406,
        2.1423349380493164,
        2.143362045288086,
        2.1431469917297363,
        2.140767812728882,
        2.142979860305786,
        2.1433422565460205,
        2.142456531524658,
        2.1435530185699463,
        2.1435585021972656,
        2.1439387798309326,
        2.1436188220977783,
        2.1444900035858154,
        2.1431384086608887,
        2.142347574234009,
        2.1432769298553467,
        2.1419577598571777,
        2.1429407596588135,
        2.1437458992004395,
        2.1436119079589844,
        2.1428682804107666,
        2.142474889755249,
        2.141951084136963,
        2.1431753635406494,
        2.144106388092041,
        2.143031120300293,
        2.1451480388641357,
        2.143108367919922,
        2.1420772075653076,
        2.1423966884613037,
        2.1431381702423096,
        2.142350912094116,
        2.142151117324829,
        2.143418550491333,
        2.142300844192505,
        2.142906904220581,
        2.1426069736480713,
        2.142096757888794,
        2.143221139907837,
        2.1434478759765625,
        2.143568515777588,
        2.1419925689697266,
        2.144806146621704,
        2.142064332962036,
        2.1433966159820557,
        2.1441423892974854,
        2.142422914505005,
        2.1426408290863037,
        2.142666816711426,
        2.143399953842163,
        2.143268585205078,
        2.142399787902832,
        2.1434037685394287,
        2.1431469917297363,
        2.142259359359741,
        2.142220973968506,
        2.144788980484009,
        2.1443402767181396,
        2.144418478012085,
        2.143390417098999,
        2.142482042312622,
        2.1433563232421875,
        2.14205002784729,
        2.1427435874938965,
        2.1430716514587402,
        2.1423912048339844,
        2.141968011856079,
        2.1420485973358154,
        2.142716646194458,
        2.141780138015747,
        2.141308546066284,
        2.142979860305786,
        2.1425893306732178,
        2.1429314613342285,
        2.1428184509277344,
        2.141901731491089,
        2.14365816116333,
        2.1419365406036377,
        2.141744613647461,
        2.1425864696502686,
        2.1437408924102783,
        2.14255952835083,
        2.1436922550201416,
        2.142282485961914,
        2.142930269241333,
        2.142763137817383,
        2.144078254699707,
        2.142387866973877,
        2.1431162357330322,
        2.1424684524536133,
        2.143657684326172,
        2.1434152126312256,
        2.1430788040161133,
        2.142336130142212,
        2.1448848247528076,
        2.1440374851226807,
        2.1441385746002197,
        2.142775297164917,
        2.1435225009918213,
        2.142918348312378,
        2.144855260848999,
        2.1424105167388916,
        2.1427767276763916,
        2.142495632171631,
        2.1450693607330322,
        2.1438591480255127,
        2.1435635089874268,
        2.1443192958831787,
        2.1433331966400146,
        2.1427416801452637,
        2.1419832706451416,
        2.1414849758148193,
        2.1437313556671143,
        2.144129991531372,
        2.143054962158203,
        2.1411972045898438,
        2.1434621810913086,
        2.142565965652466,
        2.1431896686553955,
        2.142770767211914,
        2.140418291091919,
        2.1420207023620605,
        2.142800807952881,
        2.143749952316284,
        2.1429812908172607,
        2.142160654067993,
        2.1430890560150146,
        2.1427175998687744,
        2.1426541805267334,
        2.142134428024292,
        2.1448214054107666,
        2.141977310180664,
        2.143639326095581,
        2.1421475410461426,
        2.1417653560638428,
        2.1412923336029053,
        2.1431121826171875,
        2.1421589851379395,
        2.1433820724487305,
        2.1426563262939453,
        2.142709732055664,
        2.1455800533294678,
        2.1458375453948975,
        2.143277883529663,
        2.14493727684021,
        2.1436402797698975,
        2.1450419425964355,
        2.144463300704956,
        2.145210027694702,
        2.143552780151367,
        2.1435205936431885,
        2.142014741897583,
        2.142753839492798,
        2.143399953842163,
        2.141889810562134,
        2.1426446437835693,
        2.142003297805786,
        2.142230987548828,
        2.143413782119751,
        2.1446521282196045,
        2.144897222518921,
        2.1423490047454834,
        2.14227557182312,
        2.1441056728363037,
        2.1426608562469482,
        2.142979860305786,
        2.1437456607818604,
        2.1438395977020264,
        2.143519639968872,
        2.142113447189331,
        2.1425654888153076,
        2.1429715156555176,
        2.1413865089416504,
        2.141556739807129,
        2.143217086791992,
        2.1446616649627686,
        2.146171808242798,
        2.1441597938537598,
        2.146980047225952,
        2.1470539569854736,
        2.1458206176757812,
        2.1436386108398438,
        2.142773151397705,
        2.145580291748047,
        2.1456706523895264,
        2.143754243850708,
        2.1436216831207275,
        2.1458053588867188,
        2.1460092067718506,
        2.1449127197265625,
        2.146000623703003,
        2.1452481746673584,
        2.1465647220611572,
        2.146949529647827,
        2.1465563774108887,
        2.147785186767578,
        2.147500991821289,
        2.146571397781372,
        2.147221803665161,
        2.147261619567871,
        2.145890951156616,
        2.1459877490997314,
        2.144378900527954,
        2.143773078918457,
        2.1451008319854736,
        2.1453874111175537,
        2.143850564956665,
        2.143613338470459,
        2.1443967819213867,
        2.14436411857605,
        2.143531560897827,
        2.1439714431762695,
        2.1449520587921143,
        2.1442482471466064,
        2.144070625305176,
        2.144578695297241,
        2.1438701152801514,
        2.1432628631591797,
        2.144512891769409,
        2.143587827682495,
        2.142601251602173,
        2.143876791000366,
        2.142416000366211,
        2.142387628555298,
        2.1430015563964844,
        2.142434597015381,
        2.1432132720947266,
        2.143228769302368,
        2.1447551250457764,
        2.144134521484375,
        2.143573045730591,
        2.1421806812286377,
        2.1424736976623535,
        2.143921136856079,
        2.144094944000244,
        2.1459271907806396,
        2.1435627937316895,
        2.1428442001342773,
        2.143503427505493,
        2.1434476375579834,
        2.143411636352539,
        2.1437432765960693,
        2.143407106399536,
        2.143610954284668,
        2.143780469894409,
        2.1437060832977295,
        2.1433451175689697,
        2.145280122756958,
        2.1431093215942383,
        2.1435437202453613,
        2.1434710025787354,
        2.1436455249786377,
        2.1437323093414307,
        2.1434829235076904,
        2.1434926986694336,
        2.143524646759033,
        2.1430976390838623,
        2.143519401550293,
        2.142765998840332,
        2.1431267261505127,
        2.1416919231414795,
        2.14254093170166,
        2.142747402191162,
        2.1428792476654053,
        2.1436853408813477,
        2.1425015926361084,
        2.1433959007263184,
        2.144472122192383,
        2.1428029537200928,
        2.143951654434204,
        2.1444873809814453,
        2.1435739994049072,
        2.143958806991577,
        2.143754243850708,
        2.144325017929077,
        2.143986463546753,
        2.1426193714141846,
        2.1416680812835693,
        2.1426236629486084,
        2.1433212757110596,
        2.1441094875335693,
        2.1415398120880127,
        2.1424014568328857,
        2.144239664077759,
        2.1450068950653076,
        2.1433115005493164,
        2.1419270038604736,
        2.1425225734710693,
        2.1433160305023193,
        2.1427338123321533,
        2.142540454864502,
        2.1432418823242188,
        2.1436524391174316,
        2.143198013305664,
        2.142479658126831,
        2.143439531326294,
        2.140643835067749,
        2.1428143978118896,
        2.1417319774627686,
        2.143828868865967,
        2.1434783935546875,
        2.1428747177124023,
        2.1430208683013916,
        2.1423699855804443,
        2.143158435821533,
        2.1420955657958984,
        2.1409435272216797,
        2.1411828994750977,
        2.143120765686035,
        2.142674207687378,
        2.143420934677124,
        2.143031358718872,
        2.142195701599121,
        2.1443445682525635,
        2.142983913421631,
        2.1418120861053467,
        2.141969919204712,
        2.1443228721618652,
        2.1443817615509033,
        2.1452722549438477,
        2.1446950435638428,
        2.1445512771606445,
        2.1435556411743164,
        2.1441972255706787,
        2.1446220874786377,
        2.1435787677764893,
        2.143167734146118,
        2.1413609981536865,
        2.142303466796875,
        2.1432435512542725,
        2.141904354095459,
        2.1421916484832764,
        2.142753839492798,
        2.144385814666748,
        2.145155191421509,
        2.143482208251953,
        2.142674684524536,
        2.144549608230591,
        2.1421992778778076,
        2.1436805725097656,
        2.145106315612793,
        2.142893075942993,
        2.142852306365967,
        2.14251708984375,
        2.1431949138641357,
        2.1434056758880615,
        2.1433169841766357,
        2.1421420574188232,
        2.1424055099487305,
        2.143242359161377,
        2.1421730518341064,
        2.14346981048584,
        2.1423182487487793,
        2.142078399658203,
        2.143355131149292,
        2.1434974670410156,
        2.1451046466827393,
        2.1431539058685303,
        2.142019271850586,
        2.1439902782440186,
        2.14382004737854,
        2.1453075408935547,
        2.1436216831207275,
        2.1442008018493652,
        2.1435482501983643,
        2.1444756984710693,
        2.1445722579956055,
        2.1442480087280273,
        2.1436829566955566,
        2.144061803817749,
        2.144810438156128,
        2.1448566913604736,
        2.1448495388031006,
        2.144550323486328,
        2.1447858810424805,
        2.144543409347534,
        2.1445209980010986,
        2.1455256938934326,
        2.1452181339263916,
        2.144716501235962,
        2.144606828689575,
        2.1423532962799072,
        2.14314341545105,
        2.1448590755462646,
        2.144547700881958,
        2.145111083984375,
        2.14371657371521,
        2.1452009677886963,
        2.14546537399292,
        2.1444385051727295,
        2.1449270248413086,
        2.1437180042266846,
        2.1451473236083984,
        2.1450576782226562,
        2.1447432041168213,
        2.144932985305786,
        2.1456263065338135,
        2.1450159549713135,
        2.1429033279418945,
        2.1444902420043945,
        2.1445181369781494,
        2.144742727279663,
        2.1439836025238037,
        2.145308017730713,
        2.143742561340332,
        2.1438424587249756,
        2.144141674041748,
        2.143827438354492,
        2.1439826488494873,
        2.1428489685058594,
        2.1446573734283447,
        2.143615484237671,
        2.1448564529418945,
        2.143763303756714,
        2.1426198482513428,
        2.1435604095458984,
        2.143143892288208,
        2.144515037536621,
        2.14333438873291,
        2.1441690921783447,
        2.1447253227233887,
        2.1438496112823486,
        2.1438512802124023,
        2.1433510780334473,
        2.1438639163970947,
        2.1432573795318604,
        2.1442079544067383,
        2.1438522338867188,
        2.1443395614624023,
        2.1433961391448975,
        2.1434977054595947,
        2.1446373462677,
        2.1436100006103516,
        2.1442933082580566,
        2.145190477371216,
        2.143293857574463,
        2.143282651901245,
        2.1440861225128174,
        2.1445181369781494,
        2.1436593532562256,
        2.1414403915405273,
        2.144165277481079,
        2.1455512046813965,
        2.1446311473846436,
        2.1435439586639404,
        2.1437606811523438,
        2.14504337310791,
        2.14369797706604,
        2.1439974308013916,
        2.1456546783447266,
        2.1433494091033936,
        2.143918752670288,
        2.145054817199707,
        2.1438217163085938,
        2.1464552879333496,
        2.145225763320923,
        2.145132541656494,
        2.145171642303467,
        2.144062042236328,
        2.1463682651519775,
        2.1428773403167725,
        2.14582896232605,
        2.146594285964966,
        2.143084764480591,
        2.1453161239624023,
        2.1465003490448,
        2.145911931991577,
        2.14589524269104,
        2.145444869995117,
        2.144432544708252,
        2.1443543434143066,
        2.14477276802063,
        2.1436264514923096,
        2.145280599594116,
        2.1453983783721924,
        2.1442887783050537,
        2.1459782123565674,
        2.144357919692993,
        2.1443188190460205,
        2.1453027725219727,
        2.1442277431488037,
        2.1447489261627197,
        2.144768238067627,
        2.1444265842437744,
        2.143498182296753,
        2.1448771953582764,
        2.14402174949646,
        2.145305871963501,
        2.1445887088775635,
        2.1447770595550537,
        2.144584894180298,
        2.143846273422241,
        2.1430537700653076,
        2.144988775253296,
        2.1451661586761475,
        2.143394708633423,
        2.1446077823638916,
        2.143712282180786,
        2.145439863204956,
        2.1444571018218994,
        2.1426589488983154,
        2.1428980827331543,
        2.1440820693969727,
        2.1437461376190186,
        2.144069194793701,
        2.1432693004608154,
        2.1444900035858154,
        2.144669771194458,
        2.1445958614349365,
        2.1438348293304443,
        2.1444036960601807,
        2.143646717071533,
        2.143294334411621,
        2.145467519760132,
        2.144678831100464,
        2.143549680709839,
        2.1447196006774902,
        2.1438541412353516,
        2.145200729370117,
        2.1451122760772705,
        2.1435112953186035,
        2.1439781188964844,
        2.1439437866210938,
        2.144279956817627,
        2.142672300338745,
        2.1438448429107666,
        2.1443848609924316,
        2.1445868015289307,
        2.1450207233428955,
        2.1436386108398438,
        2.142458200454712,
        2.1428115367889404,
        2.146049737930298,
        2.1438004970550537,
        2.143712043762207,
        2.1433539390563965,
        2.144348382949829,
        2.144033670425415,
        2.143641471862793,
        2.1438705921173096,
        2.144253969192505,
        2.144652843475342,
        2.1443490982055664,
        2.1452035903930664,
        2.1424081325531006,
        2.1447455883026123,
        2.1433987617492676,
        2.1460886001586914,
        2.1441662311553955,
        2.1441001892089844,
        2.1442689895629883,
        2.145002841949463,
        2.1437389850616455,
        2.1441166400909424,
        2.1441898345947266,
        2.144167184829712,
        2.144127130508423,
        2.1443121433258057,
        2.1437325477600098,
        2.1447832584381104,
        2.144758462905884,
        2.143169641494751,
        2.144062042236328,
        2.1444714069366455,
        2.1431682109832764,
        2.1450908184051514,
        2.144862651824951,
        2.143909215927124,
        2.14357590675354,
        2.1446235179901123,
        2.143763542175293,
        2.144249200820923,
        2.144200563430786,
        2.1458170413970947,
        2.144749641418457,
        2.1452596187591553,
        2.144415855407715,
        2.1447527408599854,
        2.144821882247925,
        2.1433944702148438,
        2.143104076385498,
        2.143240213394165,
        2.1434028148651123,
        2.143254041671753,
        2.1444480419158936,
        2.143394708633423,
        2.1437416076660156,
        2.1446831226348877,
        2.144676685333252,
        2.144033193588257,
        2.1435439586639404,
        2.144896984100342,
        2.144277811050415,
        2.1445369720458984,
        2.14563250541687,
        2.1441619396209717,
        2.1443440914154053,
        2.1443405151367188,
        2.1434993743896484,
        2.1432716846466064,
        2.144697904586792,
        2.1448912620544434,
        2.144141674041748,
        2.1438074111938477,
        2.1440541744232178,
        2.144597053527832,
        2.1437206268310547,
        2.1440837383270264,
        2.143389940261841,
        2.1444599628448486,
        2.144244909286499,
        2.143738269805908,
        2.142425060272217,
        2.1432535648345947,
        2.143956422805786,
        2.1450748443603516,
        2.144772529602051,
        2.1429786682128906,
        2.1437013149261475,
        2.1435225009918213,
        2.144423246383667,
        2.143690824508667,
        2.144760847091675,
        2.1447722911834717,
        2.144655227661133,
        2.143221139907837,
        2.1436715126037598,
        2.1452553272247314,
        2.1444480419158936,
        2.1450092792510986,
        2.144562005996704,
        2.1453988552093506,
        2.1447720527648926,
        2.1446588039398193,
        2.1442148685455322,
        2.1449480056762695,
        2.1449148654937744,
        2.144029378890991,
        2.145082712173462,
        2.143321990966797,
        2.143786668777466,
        2.144517421722412,
        2.144599437713623,
        2.1435234546661377,
        2.1436359882354736,
        2.1433417797088623,
        2.1442553997039795,
        2.144916296005249,
        2.1441915035247803,
        2.1439356803894043,
        2.143994092941284,
        2.144435167312622,
        2.145381212234497,
        2.14420747756958,
        2.1453640460968018,
        2.1445956230163574,
        2.1446964740753174,
        2.143207311630249,
        2.143038749694824,
        2.1440439224243164,
        2.1453559398651123,
        2.144361734390259,
        2.144773244857788,
        2.1443252563476562,
        2.1447975635528564,
        2.1450088024139404,
        2.1446008682250977,
        2.1435725688934326,
        2.144371271133423,
        2.146287441253662,
        2.143310546875,
        2.1442248821258545,
        2.1436612606048584,
        2.143754482269287,
        2.1430938243865967,
        2.1424477100372314,
        2.1432883739471436,
        2.1444170475006104,
        2.144040107727051,
        2.143894910812378,
        2.144810438156128,
        2.144407272338867,
        2.1442158222198486,
        2.1440975666046143,
        2.143339157104492,
        2.14450740814209,
        2.1444339752197266,
        2.144451141357422,
        2.144695997238159,
        2.143810272216797,
        2.1451220512390137,
        2.1444485187530518,
        2.1430985927581787,
        2.143646001815796,
        2.144315719604492,
        2.143869161605835,
        2.1453158855438232,
        2.143049955368042,
        2.146202802658081,
        2.1445343494415283,
        2.1446211338043213,
        2.1446900367736816,
        2.144814968109131,
        2.1450107097625732,
        2.1433613300323486,
        2.1434061527252197,
        2.144361972808838,
        2.1425342559814453,
        2.1453864574432373,
        2.1430766582489014,
        2.1439549922943115,
        2.1442902088165283,
        2.1436898708343506,
        2.142685651779175,
        2.142566204071045,
        2.144239664077759,
        2.1433732509613037,
        2.142655611038208,
        2.1441476345062256,
        2.1452691555023193,
        2.1447646617889404,
        2.1437971591949463,
        2.1444008350372314,
        2.1440811157226562,
        2.144623041152954,
        2.1436171531677246,
        2.1436948776245117,
        2.144162654876709,
        2.1441502571105957,
        2.142652750015259,
        2.1447975635528564,
        2.1436948776245117,
        2.1450846195220947,
        2.144360303878784,
        2.144244909286499,
        2.142014503479004,
        2.143496513366699,
        2.1430490016937256,
        2.1436150074005127,
        2.1441760063171387,
        2.1434435844421387,
        2.14418888092041,
        2.1442983150482178,
        2.143198251724243,
        2.1440343856811523,
        2.1450204849243164,
        2.142648458480835,
        2.143517255783081,
        2.143606424331665,
        2.143071174621582,
        2.1410229206085205,
        2.1441688537597656,
        2.1419546604156494,
        2.1433606147766113,
        2.14374041557312,
        2.1433889865875244,
        2.1459972858428955,
        2.1437222957611084,
        2.144068956375122,
        2.143862724304199,
        2.142723560333252,
        2.1444785594940186,
        2.1447250843048096,
        2.1436407566070557,
        2.1440305709838867,
        2.142573595046997,
        2.1441640853881836,
        2.1433818340301514,
        2.1427581310272217,
        2.1442484855651855,
        2.143407106399536,
        2.144665479660034,
        2.1435601711273193,
        2.1433475017547607,
        2.14493727684021,
        2.146197557449341,
        2.145191192626953,
        2.1437814235687256,
        2.1426432132720947,
        2.1426403522491455,
        2.144498109817505,
        2.145115613937378,
        2.1446588039398193,
        2.143761396408081,
        2.1431992053985596,
        2.142457962036133,
        2.1436033248901367,
        2.14380145072937,
        2.1441524028778076,
        2.142913818359375,
        2.1439614295959473,
        2.1439712047576904,
        2.1435153484344482,
        2.1440024375915527,
        2.1442365646362305,
        2.1442596912384033,
        2.143646478652954,
        2.1435534954071045,
        2.1430766582489014,
        2.143827199935913,
        2.1438281536102295,
        2.1438066959381104,
        2.1440601348876953,
        2.1446006298065186,
        2.1459250450134277,
        2.142761468887329,
        2.141753911972046,
        2.1431026458740234,
        2.1439907550811768,
        2.1453187465667725,
        2.1426455974578857,
        2.1426591873168945,
        2.1430323123931885,
        2.1430039405822754,
        2.1436495780944824,
        2.143254041671753,
        2.1444714069366455,
        2.1422481536865234,
        2.14341139793396,
        2.1450743675231934,
        2.1444506645202637,
        2.1428604125976562,
        2.144097328186035,
        2.144655466079712,
        2.144857168197632,
        2.143976926803589,
        2.143648386001587,
        2.1420116424560547,
        2.144252061843872,
        2.144420623779297,
        2.1439919471740723,
        2.143690824508667,
        2.1433188915252686,
        2.1437325477600098,
        2.143373727798462,
        2.1439993381500244,
        2.1432619094848633,
        2.14392352104187,
        2.14253830909729,
        2.1442067623138428,
        2.1440048217773438,
        2.144453763961792,
        2.1442997455596924,
        2.143239736557007,
        2.1444244384765625,
        2.1427364349365234,
        2.1442670822143555,
        2.142226219177246,
        2.1425838470458984,
        2.1428656578063965,
        2.143169403076172,
        2.14410400390625,
        2.1431596279144287,
        2.144291639328003,
        2.143289089202881,
        2.1434881687164307,
        2.1439225673675537,
        2.143353223800659,
        2.143634796142578,
        2.1449148654937744,
        2.1450695991516113,
        2.1437625885009766,
        2.1440651416778564,
        2.143188953399658,
        2.143817186355591,
        2.1439523696899414,
        2.144456624984741,
        2.1431941986083984,
        2.1423890590667725,
        2.1419694423675537,
        2.143079996109009,
        2.143230676651001,
        2.1429443359375,
        2.1421453952789307,
        2.142942428588867,
        2.1424131393432617,
        2.1430203914642334,
        2.142692804336548,
        2.1444594860076904,
        2.1452059745788574,
        2.1434404850006104,
        2.1429760456085205,
        2.143346071243286,
        2.1444921493530273,
        2.144148826599121,
        2.1427266597747803,
        2.1439597606658936,
        2.1428661346435547,
        2.14323353767395,
        2.1436097621917725,
        2.1448941230773926,
        2.1429712772369385,
        2.143460512161255,
        2.1439049243927,
        2.144223213195801,
        2.144362211227417,
        2.143756628036499,
        2.143185615539551,
        2.1430721282958984,
        2.143277406692505,
        2.1422479152679443,
        2.1430165767669678,
        2.1453230381011963,
        2.1434547901153564,
        2.1441714763641357,
        2.1432392597198486,
        2.1437625885009766,
        2.1443071365356445,
        2.143808126449585,
        2.143343687057495,
        2.1447479724884033,
        2.1425163745880127,
        2.142737865447998,
        2.1444971561431885,
        2.143566131591797,
        2.1443166732788086,
        2.143537998199463,
        2.1443288326263428,
        2.1447360515594482,
        2.1454007625579834,
        2.1435608863830566,
        2.143580913543701,
        2.1434381008148193,
        2.144988536834717,
        2.1433279514312744,
        2.1447086334228516,
        2.1445295810699463,
        2.1453359127044678,
        2.1442971229553223,
        2.1437039375305176,
        2.143136501312256,
        2.144258499145508,
        2.1438465118408203,
        2.1442387104034424,
        2.1442973613739014,
        2.1436376571655273,
        2.1448605060577393,
        2.1442434787750244,
        2.143430709838867,
        2.144162178039551,
        2.1441400051116943,
        2.1428234577178955,
        2.144418716430664,
        2.1431496143341064,
        2.143254041671753,
        2.1445157527923584,
        2.1443674564361572,
        2.1430375576019287,
        2.144684314727783,
        2.1421492099761963,
        2.145162582397461,
        2.1442997455596924,
        2.1420741081237793,
        2.144052267074585,
        2.143131732940674,
        2.1443936824798584,
        2.144746780395508,
        2.1454105377197266,
        2.1446754932403564,
        2.144258737564087,
        2.143397569656372,
        2.1415164470672607,
        2.143547534942627,
        2.1443593502044678,
        2.1434948444366455,
        2.143329620361328,
        2.1444995403289795,
        2.143798589706421,
        2.143311023712158,
        2.1438283920288086,
        2.1436736583709717,
        2.1420369148254395,
        2.143169641494751,
        2.144618034362793,
        2.1430511474609375,
        2.143463611602783,
        2.1431870460510254,
        2.144953966140747,
        2.1436846256256104,
        2.14361834526062,
        2.143890619277954,
        2.143747568130493,
        2.1436233520507812,
        2.1437854766845703,
        2.1448686122894287,
        2.1441774368286133,
        2.14489483833313,
        2.143908977508545,
        2.1441431045532227,
        2.143094062805176,
        2.1434879302978516,
        2.1420252323150635,
        2.142969846725464,
        2.1440064907073975,
        2.143869638442993,
        2.1441798210144043,
        2.1450817584991455,
        2.142993211746216,
        2.143873929977417,
        2.142887830734253,
        2.1442697048187256,
        2.1437559127807617,
        2.1446964740753174,
        2.144162654876709,
        2.1440274715423584,
        2.144052743911743,
        2.14428448677063,
        2.144441843032837,
        2.14224910736084,
        2.142925500869751,
        2.1448609828948975,
        2.144958734512329,
        2.1436007022857666,
        2.143028497695923,
        2.1440141201019287,
        2.145198345184326,
        2.144115686416626,
        2.1442716121673584,
        2.143559217453003,
        2.1439602375030518,
        2.143702745437622,
        2.1449596881866455,
        2.144085645675659,
        2.1443004608154297,
        2.142648220062256,
        2.144630193710327,
        2.1435530185699463,
        2.1440486907958984,
        2.142975091934204,
        2.1432762145996094,
        2.1423566341400146,
        2.1431796550750732,
        2.1415884494781494,
        2.1429035663604736,
        2.144324779510498,
        2.1441967487335205,
        2.1448562145233154,
        2.1427252292633057,
        2.143386125564575,
        2.142927408218384,
        2.1440024375915527,
        2.1445798873901367,
        2.1433730125427246,
        2.143336534500122,
        2.1435139179229736,
        2.1438651084899902,
        2.1429460048675537,
        2.1446893215179443,
        2.1425092220306396,
        2.142853260040283,
        2.142618417739868,
        2.145308256149292,
        2.142878293991089,
        2.1434571743011475,
        2.1435680389404297,
        2.1430790424346924,
        2.1434531211853027,
        2.143172264099121,
        2.1434547901153564,
        2.143434524536133,
        2.143815755844116,
        2.1431617736816406,
        2.145143747329712,
        2.1437008380889893,
        2.1445858478546143,
        2.1446988582611084,
        2.1443378925323486,
        2.144946575164795,
        2.144099473953247,
        2.1441261768341064,
        2.144019842147827,
        2.143937349319458,
        2.143144130706787,
        2.1436800956726074,
        2.1434547901153564,
        2.1446139812469482,
        2.144524097442627,
        2.14406418800354,
        2.143707513809204,
        2.143275499343872,
        2.142984390258789,
        2.1442863941192627,
        2.143888235092163,
        2.1437323093414307,
        2.144305467605591,
        2.1440975666046143,
        2.143217086791992,
        2.1438801288604736,
        2.1437268257141113,
        2.1436405181884766,
        2.1443612575531006,
        2.1434690952301025,
        2.1444194316864014,
        2.1459224224090576,
        2.1444039344787598,
        2.1446542739868164,
        2.143291711807251,
        2.14459490776062,
        2.143754243850708,
        2.1443824768066406,
        2.1451542377471924,
        2.1432011127471924,
        2.143597364425659,
        2.1441829204559326,
        2.1450717449188232,
        2.1444032192230225,
        2.145049810409546,
        2.1443121433258057,
        2.1453053951263428,
        2.1453239917755127,
        2.1455698013305664,
        2.1449482440948486,
        2.145176887512207,
        2.1440372467041016,
        2.1456408500671387,
        2.1439318656921387,
        2.143702268600464,
        2.144718647003174,
        2.144664764404297,
        2.1454830169677734,
        2.143287181854248,
        2.1442251205444336,
        2.1445515155792236,
        2.1434576511383057,
        2.1448934078216553,
        2.143869161605835,
        2.1438634395599365,
        2.1443965435028076,
        2.145185947418213,
        2.1436526775360107,
        2.143821954727173,
        2.14424204826355,
        2.144855260848999,
        2.145038604736328,
        2.144230604171753,
        2.143587112426758,
        2.1445348262786865,
        2.1438419818878174,
        2.1431925296783447,
        2.1432044506073,
        2.143500566482544,
        2.1427628993988037,
        2.1437106132507324,
        2.143864393234253,
        2.143907308578491,
        2.1433115005493164,
        2.1441590785980225,
        2.14343523979187,
        2.143623113632202,
        2.1435863971710205,
        2.143193006515503,
        2.144150733947754,
        2.143033027648926,
        2.1445908546447754,
        2.1433396339416504,
        2.143630266189575,
        2.1433420181274414,
        2.142563581466675,
        2.143916368484497,
        2.1451714038848877,
        2.143789529800415,
        2.1449403762817383,
        2.1446337699890137,
        2.1440846920013428,
        2.1442394256591797,
        2.143749475479126,
        2.1439685821533203,
        2.143460988998413,
        2.1437556743621826,
        2.1424920558929443,
        2.14477801322937,
        2.144108772277832,
        2.1429994106292725,
        2.1439554691314697,
        2.144108533859253,
        2.143911600112915,
        2.1436870098114014,
        2.1441235542297363,
        2.1431853771209717,
        2.1439859867095947,
        2.143956422805786,
        2.1430728435516357,
        2.1426608562469482,
        2.143157958984375,
        2.142204761505127,
        2.142936944961548,
        2.142120838165283,
        2.1411876678466797,
        2.141364574432373,
        2.140972375869751,
        2.1407806873321533,
        2.141371965408325,
        2.140416383743286,
        2.1411936283111572,
        2.1431779861450195,
        2.142576217651367,
        2.1406004428863525,
        2.1415092945098877,
        2.1410133838653564,
        2.141530990600586,
        2.1413586139678955,
        2.1436049938201904,
        2.14298939704895,
        2.1426355838775635,
        2.1426479816436768,
        2.14190411567688,
        2.1420373916625977,
        2.1424672603607178,
        2.142845630645752,
        2.1429202556610107,
        2.143718957901001,
        2.1443212032318115,
        2.144674062728882,
        2.1445090770721436,
        2.143137216567993,
        2.1430504322052,
        2.144519329071045,
        2.1446285247802734,
        2.143171548843384,
        2.143125295639038,
        2.142432451248169,
        2.14383864402771,
        2.143639087677002,
        2.1426515579223633,
        2.1434154510498047,
        2.143848180770874,
        2.142991304397583,
        2.1429004669189453,
        2.1436119079589844,
        2.1441805362701416,
        2.1449763774871826,
        2.144104242324829,
        2.1450035572052,
        2.1447594165802,
        2.1419570446014404,
        2.143071413040161,
        2.144266366958618,
        2.1430633068084717,
        2.143214702606201,
        2.142099142074585,
        2.1430938243865967,
        2.1423652172088623,
        2.142522096633911,
        2.1406795978546143,
        2.1420280933380127,
        2.142608165740967,
        2.143096446990967,
        2.1432063579559326,
        2.1446380615234375,
        2.142984628677368,
        2.142897367477417,
        2.1429498195648193,
        2.142362594604492,
        2.14396071434021,
        2.142685890197754,
        2.143244743347168,
        2.1428089141845703,
        2.143289804458618,
        2.143212080001831,
        2.143623113632202,
        2.1424012184143066,
        2.143113374710083,
        2.1444687843322754,
        2.144014358520508,
        2.1416175365448,
        2.1422016620635986,
        2.143869161605835,
        2.1438162326812744,
        2.142146587371826,
        2.142880916595459,
        2.1426517963409424,
        2.1443378925323486,
        2.1424591541290283,
        2.1419546604156494,
        2.143364667892456,
        2.1429591178894043,
        2.144098997116089,
        2.142042398452759,
        2.144164800643921,
        2.1421380043029785,
        2.1433568000793457,
        2.142801523208618,
        2.1429202556610107,
        2.144615888595581,
        2.143742322921753,
        2.1427788734436035,
        2.1427924633026123,
        2.142742395401001,
        2.1423561573028564,
        2.1435928344726562,
        2.142077684402466,
        2.1431939601898193,
        2.143402099609375,
        2.1429479122161865,
        2.1427953243255615,
        2.1438941955566406,
        2.142639398574829,
        2.142634391784668,
        2.1427555084228516,
        2.14443302154541,
        2.1432621479034424,
        2.143573045730591,
        2.1436448097229004,
        2.1433498859405518,
        2.143557548522949,
        2.1433770656585693,
        2.1427977085113525,
        2.1431944370269775,
        2.1429877281188965,
        2.142634391784668,
        2.144202947616577,
        2.1436030864715576,
        2.1440699100494385,
        2.143200635910034,
        2.1441195011138916,
        2.143404722213745,
        2.14355731010437,
        2.143019676208496,
        2.142552614212036,
        2.1426453590393066,
        2.1427595615386963,
        2.1430885791778564,
        2.141387701034546,
        2.14241099357605,
        2.1427204608917236,
        2.1425633430480957,
        2.143721342086792,
        2.143275260925293,
        2.142446279525757,
        2.142897367477417,
        2.1424560546875,
        2.1442224979400635,
        2.1427857875823975,
        2.141861915588379,
        2.1417782306671143,
        2.1418566703796387,
        2.143541097640991,
        2.142814874649048,
        2.1418368816375732,
        2.1427805423736572,
        2.1433019638061523,
        2.142247438430786,
        2.143184185028076,
        2.1423919200897217,
        2.142244577407837,
        2.1436145305633545,
        2.143109083175659,
        2.142143726348877,
        2.1427156925201416,
        2.141961097717285,
        2.142756700515747,
        2.1431543827056885,
        2.1434667110443115,
        2.143401622772217,
        2.1440670490264893,
        2.1428234577178955,
        2.142838478088379,
        2.1423733234405518,
        2.143561601638794,
        2.1425740718841553,
        2.1428840160369873,
        2.1438233852386475,
        2.142869710922241,
        2.1444242000579834,
        2.142426013946533,
        2.142371892929077,
        2.142505645751953,
        2.141479015350342,
        2.142061471939087,
        2.142216920852661,
        2.1425788402557373,
        2.1434338092803955,
        2.1422231197357178,
        2.144437074661255,
        2.1426808834075928,
        2.1429383754730225,
        2.143584966659546,
        2.143179178237915,
        2.142263174057007,
        2.143066644668579,
        2.1426596641540527,
        2.1429946422576904,
        2.143419027328491,
        2.141803026199341,
        2.143073320388794,
        2.143117904663086,
        2.144134044647217,
        2.1431450843811035,
        2.1420390605926514,
        2.1425693035125732,
        2.142019510269165,
        2.1428773403167725,
        2.1417672634124756,
        2.1430492401123047,
        2.142787218093872,
        2.141932725906372,
        2.1421279907226562,
        2.1426360607147217,
        2.142594337463379,
        2.1448733806610107,
        2.1435742378234863,
        2.1428186893463135,
        2.1431872844696045,
        2.1439428329467773,
        2.1421992778778076,
        2.1413280963897705,
        2.1422107219696045,
        2.1425092220306396,
        2.1428868770599365,
        2.1429545879364014,
        2.141925096511841,
        2.1435770988464355,
        2.144375801086426,
        2.1442787647247314,
        2.1435680389404297,
        2.141866445541382,
        2.143502950668335,
        2.143719434738159,
        2.142540693283081,
        2.142423391342163,
        2.14431095123291,
        2.142836332321167,
        2.1430728435516357,
        2.142047166824341,
        2.1420814990997314,
        2.144556760787964,
        2.143371820449829,
        2.142338514328003,
        2.1422972679138184,
        2.1429283618927,
        2.1432721614837646,
        2.14347767829895,
        2.143707275390625,
        2.1433069705963135,
        2.142866373062134,
        2.144721269607544,
        2.1429343223571777,
        2.143450975418091,
        2.1425087451934814,
        2.1430342197418213,
        2.1429808139801025,
        2.143021821975708,
        2.1425821781158447,
        2.1433265209198,
        2.143768787384033,
        2.1424031257629395,
        2.142939805984497,
        2.144904375076294,
        2.144486427307129,
        2.143904209136963,
        2.143440008163452,
        2.1433138847351074,
        2.1423604488372803,
        2.1443169116973877,
        2.142549753189087,
        2.1422247886657715,
        2.142383575439453,
        2.143704414367676,
        2.141024351119995,
        2.141923666000366,
        2.142957925796509,
        2.1428325176239014,
        2.1424295902252197,
        2.1427085399627686,
        2.1429316997528076,
        2.1424639225006104,
        2.1426260471343994,
        2.14300274848938,
        2.142120361328125,
        2.142883539199829,
        2.143949508666992,
        2.1440987586975098,
        2.1436665058135986,
        2.143062114715576,
        2.1427128314971924,
        2.144529104232788,
        2.1430225372314453,
        2.1439425945281982,
        2.142310857772827,
        2.1438448429107666,
        2.1440913677215576,
        2.1450483798980713,
        2.1445837020874023,
        2.144221067428589,
        2.1433701515197754,
        2.1434075832366943,
        2.1442203521728516,
        2.1446657180786133,
        2.141221761703491,
        2.143326997756958,
        2.142997980117798,
        2.1406023502349854,
        2.1424288749694824,
        2.1412107944488525,
        2.1413352489471436,
        2.1404411792755127,
        2.141732931137085,
        2.143697500228882,
        2.144207715988159,
        2.1441407203674316,
        2.1435964107513428,
        2.142402410507202,
        2.143075704574585,
        2.1435816287994385,
        2.1444671154022217,
        2.1454555988311768,
        2.1466224193573,
        2.146289110183716,
        2.146005868911743,
        2.1468918323516846,
        2.1461122035980225,
        2.146758794784546,
        2.1460304260253906,
        2.14473819732666,
        2.144836664199829,
        2.144864082336426,
        2.143515110015869,
        2.14341139793396,
        2.1436517238616943,
        2.144833564758301,
        2.1451475620269775,
        2.1450440883636475,
        2.145164728164673,
        2.1454551219940186,
        2.1458916664123535,
        2.1473426818847656,
        2.147707462310791,
        2.1479971408843994,
        2.1476833820343018,
        2.1480681896209717,
        2.1483311653137207,
        2.14646315574646,
        2.1461246013641357,
        2.1458613872528076,
        2.1424944400787354,
        2.1438519954681396,
        2.1439008712768555,
        2.1445400714874268,
        2.144683361053467,
        2.1464877128601074,
        2.14607310295105,
        2.1474320888519287,
        2.1463515758514404,
        2.1469104290008545,
        2.15017032623291,
        2.147583246231079,
        2.14562726020813,
        2.146308660507202,
        2.1480114459991455,
        2.1466176509857178,
        2.1466400623321533,
        2.1461551189422607,
        2.1478090286254883,
        2.150583028793335,
        2.1496007442474365,
        2.1483120918273926,
        2.148329257965088,
        2.1492080688476562,
        2.150602340698242,
        2.1514194011688232,
        2.150967836380005,
        2.151200532913208,
        2.1518912315368652,
        2.1519153118133545,
        2.1523540019989014,
        2.151214838027954,
        2.1516969203948975,
        2.150306463241577,
        2.1482996940612793,
        2.14906907081604,
        2.1477127075195312,
        2.1493585109710693,
        2.1497786045074463,
        2.1493418216705322,
        2.1490628719329834,
        2.1483285427093506,
        2.148122549057007,
        2.1493074893951416,
        2.149723529815674,
        2.148289442062378,
        2.1489694118499756,
        2.1489312648773193,
        2.1494176387786865,
        2.1498563289642334,
        2.150067090988159,
        2.149942398071289,
        2.1500494480133057,
        2.149569272994995,
        2.149864912033081,
        2.1494877338409424,
        2.149756669998169,
        2.14922833442688,
        2.149698257446289,
        2.149657726287842,
        2.1490261554718018,
        2.1494905948638916,
        2.1499855518341064,
        2.1481659412384033,
        2.1496031284332275,
        2.1487066745758057,
        2.1479837894439697,
        2.1494767665863037,
        2.149717092514038,
        2.1490471363067627,
        2.148956537246704,
        2.1496503353118896,
        2.149172782897949,
        2.1494204998016357,
        2.149411201477051,
        2.149217367172241,
        2.1487488746643066,
        2.1487977504730225,
        2.149571657180786,
        2.149606704711914,
        2.1481759548187256,
        2.150439977645874,
        2.1509857177734375,
        2.1520793437957764,
        2.1519551277160645,
        2.150676727294922,
        2.1506636142730713,
        2.151723623275757,
        2.151028871536255,
        2.152867317199707,
        2.1514360904693604,
        2.150592088699341,
        2.146442174911499,
        2.147956371307373,
        2.1470987796783447,
        2.147303819656372,
        2.1475830078125,
        2.1466763019561768,
        2.1472012996673584,
        2.1461732387542725,
        2.145120620727539,
        2.1438963413238525,
        2.14518141746521,
        2.143768072128296,
        2.144453287124634,
        2.1438536643981934,
        2.143106698989868,
        2.1427433490753174,
        2.14314603805542,
        2.142493486404419,
        2.14288330078125,
        2.142625093460083,
        2.1427512168884277,
        2.1425604820251465,
        2.142971992492676,
        2.1431751251220703,
        2.1433305740356445,
        2.14401912689209,
        2.143430709838867,
        2.144087553024292,
        2.1428253650665283,
        2.1436445713043213,
        2.143242120742798,
        2.1428802013397217,
        2.1435296535491943,
        2.143953323364258,
        2.1429173946380615,
        2.1436893939971924,
        2.144057512283325,
        2.14449143409729,
        2.144059181213379,
        2.1481895446777344,
        2.1451194286346436,
        2.1588501930236816,
        2.1222004890441895,
        2.0937304496765137,
        2.055169105529785,
        2.0498881340026855,
        2.0589916706085205,
        2.0573577880859375,
        2.024062156677246,
        1.988394856452942,
        1.99461030960083,
        2.028367042541504,
        2.0356078147888184,
        2.030759572982788,
        2.0347518920898438,
        2.04107666015625,
        1.983199119567871,
        1.9920377731323242,
        1.9703469276428223,
        1.9188131093978882,
        1.892775058746338,
        1.8807754516601562,
        1.8742209672927856,
        1.8453025817871094,
        1.8499575853347778,
        1.833975911140442,
        1.8255287408828735,
        1.8178569078445435,
        1.8087453842163086,
        1.805215835571289,
        1.8050743341445923,
        1.7931979894638062,
        1.7883577346801758,
        1.7825689315795898,
        1.789109230041504,
        1.7927747964859009,
        1.8057771921157837,
        1.8086470365524292,
        1.8381720781326294,
        1.8368797302246094,
        1.8755887746810913,
        1.9107569456100464,
        1.9311060905456543,
        1.945104956626892,
        1.9629572629928589,
        1.9691444635391235,
        1.9793500900268555,
        1.988347053527832,
        1.9967756271362305,
        2.006523370742798,
        2.012967109680176,
        2.0261409282684326,
        2.030303478240967,
        2.040440797805786,
        2.0477206707000732,
        2.053863763809204,
        2.0582168102264404,
        2.065744400024414,
        2.068073034286499,
        2.071547031402588,
        2.0669190883636475,
        2.069276809692383,
        2.067697286605835,
        2.07322096824646,
        2.0706679821014404,
        2.0693047046661377,
        2.070613145828247,
        2.073282241821289,
        2.0727379322052,
        2.0730082988739014,
        2.0750017166137695,
        2.0729689598083496,
        2.0738656520843506,
        2.074244737625122,
        2.074972152709961,
        2.0762627124786377,
        2.0763657093048096,
        2.0777673721313477,
        2.076695442199707,
        2.0761895179748535,
        2.076671838760376,
        2.0760910511016846,
        2.0759847164154053,
        2.0753040313720703,
        2.073744773864746,
        2.073488473892212,
        2.0747172832489014,
        2.0735855102539062,
        2.0753211975097656,
        2.0762598514556885,
        2.0751266479492188,
        2.0756094455718994,
        2.0765950679779053,
        2.0774569511413574,
        2.077164649963379,
        2.07694935798645,
        2.0794498920440674,
        2.0770838260650635,
        2.0779201984405518,
        2.0780773162841797,
        2.077523708343506,
        2.0776968002319336,
        2.0782992839813232,
        2.0796420574188232,
        2.07902455329895,
        2.07842755317688,
        2.077840566635132,
        2.0785181522369385,
        2.079275131225586,
        2.0794012546539307,
        2.0799286365509033,
        2.0799899101257324,
        2.0789177417755127,
        2.0784738063812256,
        2.0775303840637207,
        2.078907012939453,
        2.0776216983795166,
        2.076822280883789,
        2.077949047088623,
        2.078049659729004,
        2.0764963626861572,
        2.07662034034729,
        2.0770108699798584,
        2.0773284435272217,
        2.0783450603485107,
        2.0776753425598145,
        2.077327013015747,
        2.0765631198883057,
        2.0772335529327393,
        2.077098846435547,
        2.076087474822998,
        2.0765373706817627,
        2.076343059539795,
        2.076244592666626,
        2.076572895050049,
        2.075604200363159,
        2.075235366821289,
        2.0766332149505615,
        2.076329231262207,
        2.0776243209838867,
        2.0761423110961914,
        2.0759541988372803,
        2.0772411823272705,
        2.076909303665161,
        2.0765812397003174,
        2.0761611461639404,
        2.0758306980133057,
        2.076847553253174,
        2.0755178928375244,
        2.0757522583007812,
        2.0766725540161133,
        2.077070474624634,
        2.077378511428833,
        2.0790014266967773,
        2.0797860622406006,
        2.0776498317718506,
        2.0791542530059814,
        2.0811784267425537,
        2.0816636085510254,
        2.082533121109009,
        2.081502676010132,
        2.079357862472534,
        2.0808188915252686,
        2.0819461345672607,
        2.082136869430542,
        2.0815045833587646,
        2.080944776535034,
        2.0824925899505615,
        2.0819990634918213,
        2.0820515155792236,
        2.082993745803833,
        2.0830752849578857,
        2.083394765853882,
        2.083174228668213,
        2.084012746810913,
        2.0827531814575195,
        2.0844650268554688,
        2.083644151687622,
        2.0808145999908447,
        2.081425428390503,
        2.082493543624878,
        2.080124616622925,
        2.0809783935546875,
        2.082597017288208,
        2.082578182220459,
        2.081944704055786,
        2.080979347229004,
        2.0807745456695557,
        2.0817105770111084,
        2.0825705528259277,
        2.081836462020874,
        2.0809309482574463,
        2.0813982486724854,
        2.0817677974700928,
        2.0830867290496826,
        2.0811336040496826,
        2.0802114009857178,
        2.082014322280884,
        2.0827181339263916,
        2.0811660289764404,
        2.082035779953003,
        2.0814836025238037,
        2.081545114517212,
        2.0819549560546875,
        2.0811727046966553,
        2.0794270038604736,
        2.0791964530944824,
        2.080688238143921,
        2.082232713699341,
        2.080859899520874,
        2.0811619758605957,
        2.082023859024048,
        2.079874277114868,
        2.0808069705963135,
        2.081416130065918,
        2.0814449787139893,
        2.0798704624176025,
        2.0810742378234863,
        2.079648733139038,
        2.078742504119873,
        2.0821101665496826,
        2.0819613933563232,
        2.083582639694214,
        2.0827109813690186,
        2.0820388793945312,
        2.0822315216064453,
        2.0833122730255127,
        2.082047700881958,
        2.081224203109741,
        2.081892251968384,
        2.0821499824523926,
        2.0829198360443115,
        2.0842158794403076,
        2.0826051235198975,
        2.0832302570343018,
        2.0846078395843506,
        2.08309006690979,
        2.0839152336120605,
        2.0849967002868652,
        2.084354877471924,
        2.084944725036621,
        2.0862090587615967,
        2.0846807956695557,
        2.0838675498962402,
        2.0839593410491943,
        2.0827829837799072,
        2.0840911865234375,
        2.083259344100952,
        2.0830237865448,
        2.0831243991851807,
        2.081439733505249,
        2.0825445652008057,
        2.081617593765259,
        2.081148624420166,
        2.0815982818603516,
        2.081280469894409,
        2.081535577774048,
        2.080876588821411,
        2.081569194793701,
        2.0829384326934814,
        2.081540822982788,
        2.0805861949920654,
        2.0814759731292725,
        2.08180832862854,
        2.082528829574585,
        2.0827295780181885,
        2.0841641426086426,
        2.081794023513794,
        2.0810680389404297,
        2.0812981128692627,
        2.0809550285339355,
        2.082564353942871,
        2.0818517208099365,
        2.079759120941162,
        2.0804693698883057,
        2.0805091857910156,
        2.081529140472412,
        2.080535411834717,
        2.0809686183929443,
        2.0791919231414795,
        2.078171491622925,
        2.0773184299468994,
        2.0779192447662354,
        2.0780348777770996,
        2.077073097229004,
        2.0789852142333984,
        2.0793230533599854,
        2.077277660369873,
        2.0784575939178467,
        2.079179048538208,
        2.0784740447998047,
        2.0783653259277344,
        2.078415632247925,
        2.0801937580108643,
        2.0787174701690674,
        2.080047845840454,
        2.0780417919158936,
        2.079648971557617,
        2.0815770626068115,
        2.0820114612579346,
        2.0827558040618896,
        2.0780580043792725,
        2.0760762691497803,
        2.0762405395507812,
        2.0775277614593506,
        2.0763237476348877,
        2.0789601802825928,
        2.0766043663024902,
        2.0726311206817627,
        2.07509708404541,
        2.0758469104766846,
        2.0774641036987305,
        2.0745203495025635,
        2.066401720046997,
        2.0715577602386475,
        2.0676538944244385,
        2.068718910217285,
        2.0660500526428223,
        2.060762643814087,
        2.051815986633301,
        2.0457117557525635,
        2.055879592895508,
        2.0490853786468506,
        2.0390236377716064,
        2.027571439743042,
        2.0272064208984375,
        2.0124456882476807,
        1.9914302825927734,
        1.9807542562484741,
        1.9677428007125854,
        1.9537591934204102,
        1.9320855140686035,
        1.9208561182022095,
        1.919538140296936,
        1.8987075090408325,
        1.8659878969192505,
        1.8627896308898926,
        1.8461743593215942,
        1.8432079553604126,
        1.8400932550430298,
        1.821847915649414,
        1.810325026512146,
        1.7940207719802856,
        1.7857948541641235,
        1.7657047510147095,
        1.754245400428772,
        1.731985092163086,
        1.72282874584198,
        1.7026305198669434,
        1.7002347707748413,
        1.696226716041565,
        1.692803978919983,
        1.686256766319275,
        1.691676139831543,
        1.7016874551773071,
        1.7062088251113892,
        1.699224829673767,
        1.6979560852050781,
        1.6926326751708984,
        1.706371784210205,
        1.7042489051818848,
        1.7215899229049683,
        1.7347387075424194,
        1.7811579704284668,
        1.8837827444076538,
        1.957353115081787,
        1.9388388395309448,
        1.9447721242904663,
        1.9377498626708984,
        1.906172275543213,
        1.9008036851882935,
        2.020673990249634,
        2.155362129211426,
        2.151968240737915,
        2.1466376781463623,
        2.1450583934783936,
        2.1497819423675537,
        2.149404287338257,
        2.150296688079834,
        2.1497130393981934,
        2.150015354156494,
        2.147390604019165,
        2.145399332046509,
        2.1479480266571045,
        2.149505376815796,
        2.1489384174346924,
        2.1478288173675537,
        2.147974967956543,
        2.1455202102661133,
        2.1479156017303467,
        2.14908504486084,
        2.148129463195801,
        2.1492183208465576,
        2.1488606929779053,
        2.149184226989746,
        2.1495249271392822,
        2.1495516300201416,
        2.149111270904541,
        2.1490659713745117,
        2.1494295597076416,
        2.148383378982544,
        2.149198293685913,
        2.149733066558838,
        2.1485283374786377,
        2.1488800048828125,
        2.148425340652466,
        2.1482510566711426,
        2.148376703262329,
        2.148221015930176,
        2.148308038711548,
        2.147925615310669,
        2.1484696865081787,
        2.148165702819824,
        2.1487162113189697,
        2.149224042892456,
        2.1485354900360107,
        2.1481926441192627,
        2.148494005203247,
        2.14844012260437,
        2.1474592685699463,
        2.1483747959136963,
        2.1486170291900635,
        2.1486752033233643,
        2.1479384899139404,
        2.148122549057007,
        2.1490604877471924,
        2.148595094680786,
        2.148242473602295,
        2.1485908031463623,
        2.148322582244873,
        2.148125410079956,
        2.148617744445801,
        2.14774227142334,
        2.1480283737182617,
        2.1473844051361084,
        2.1486992835998535,
        2.147791862487793,
        2.1478068828582764,
        2.1477701663970947,
        2.149441957473755,
        2.1504218578338623,
        2.149111032485962,
        2.147614002227783,
        2.1484010219573975,
        2.1471564769744873,
        2.1451683044433594,
        2.1447625160217285,
        2.145634651184082,
        2.147712469100952,
        2.14855694770813,
        2.147479295730591,
        2.1531715393066406,
        2.153606653213501,
        2.101339817047119,
        2.1083924770355225,
        2.0112831592559814,
        2.0470428466796875,
        2.0321388244628906,
        2.0368893146514893,
        2.0704522132873535,
        2.066105842590332,
        2.0625159740448,
        2.073749542236328,
        2.0725743770599365,
        2.0686724185943604,
        2.0500478744506836,
        2.0552616119384766,
        2.0182230472564697,
        1.9996589422225952,
        1.99068021774292,
        1.915156364440918,
        1.884366512298584,
        1.8662961721420288,
        1.851789116859436,
        1.8406769037246704,
        1.8339476585388184,
        1.8381835222244263,
        1.8496330976486206,
        1.8496602773666382,
        1.8440462350845337,
        1.8479375839233398,
        1.8395341634750366,
        1.8360939025878906,
        1.83330237865448,
        1.8273181915283203,
        1.8279684782028198,
        1.8252943754196167,
        1.8316353559494019,
        1.8567842245101929,
        1.875846266746521,
        1.8871946334838867,
        1.913570523262024,
        1.9484533071517944,
        1.946584701538086,
        1.9734405279159546,
        1.993721604347229,
        2.001002073287964,
        2.010899543762207,
        2.016916036605835,
        2.017595052719116,
        2.0270745754241943,
        2.038761854171753,
        2.043778657913208,
        2.050938367843628,
        2.0594303607940674,
        2.0594122409820557,
        2.0607168674468994,
        2.070653200149536,
        2.0739314556121826,
        2.0759546756744385,
        2.080854892730713,
        2.080998659133911,
        2.083775281906128,
        2.085735321044922,
        2.08418607711792,
        2.0815508365631104,
        2.079256296157837,
        2.0802814960479736,
        2.0795562267303467,
        2.0809268951416016,
        2.0798535346984863,
        2.079284429550171,
        2.07802414894104,
        2.0794272422790527,
        2.080061435699463,
        2.0781099796295166,
        2.0782365798950195,
        2.0801658630371094,
        2.082411050796509,
        2.0800986289978027,
        2.0810887813568115,
        2.0808794498443604,
        2.0786044597625732,
        2.079920530319214,
        2.079623222351074,
        2.0796923637390137,
        2.0823962688446045,
        2.081069231033325,
        2.079474687576294,
        2.0794479846954346,
        2.0805532932281494,
        2.080198287963867,
        2.081526041030884,
        2.0815072059631348,
        2.0836222171783447,
        2.086960792541504,
        2.084995985031128,
        2.0866591930389404,
        2.08799147605896,
        2.0882294178009033,
        2.0890448093414307,
        2.087498188018799,
        2.087775468826294,
        2.0891358852386475,
        2.087146043777466,
        2.0887277126312256,
        2.0876877307891846,
        2.088310956954956,
        2.0867974758148193,
        2.0866854190826416,
        2.0865719318389893,
        2.0863072872161865,
        2.086397409439087,
        2.0852715969085693,
        2.0861828327178955,
        2.0857601165771484,
        2.0855140686035156,
        2.0862643718719482,
        2.0868442058563232,
        2.08831524848938,
        2.0886428356170654,
        2.087857723236084,
        2.0885794162750244,
        2.088137149810791,
        2.088730573654175,
        2.088665723800659,
        2.088346481323242,
        2.087853193283081,
        2.0867111682891846,
        2.086405038833618,
        2.0885212421417236,
        2.0886871814727783,
        2.0893545150756836,
        2.0874316692352295,
        2.088050127029419,
        2.088012456893921,
        2.0878102779388428,
        2.0872600078582764,
        2.08724045753479,
        2.0885403156280518,
        2.0871479511260986,
        2.088444948196411,
        2.088379144668579,
        2.087674856185913,
        2.089503765106201,
        2.0877091884613037,
        2.087489128112793,
        2.0872199535369873,
        2.086683511734009,
        2.087740659713745,
        2.0880744457244873,
        2.0848329067230225,
        2.086026906967163,
        2.0853466987609863,
        2.0880136489868164,
        2.086949348449707,
        2.087146520614624,
        2.0874392986297607,
        2.08768630027771,
        2.0861480236053467,
        2.086622953414917,
        2.0862081050872803,
        2.0873358249664307,
        2.086371660232544,
        2.0896780490875244,
        2.089301824569702,
        2.0896053314208984,
        2.088081121444702,
        2.0887362957000732,
        2.0905377864837646,
        2.089348554611206,
        2.089651584625244,
        2.090001344680786,
        2.0891873836517334,
        2.088789224624634,
        2.0884549617767334,
        2.086658239364624,
        2.0846993923187256,
        2.0854856967926025,
        2.083300828933716,
        2.0802364349365234,
        2.077559232711792,
        2.075519323348999,
        2.075111150741577,
        2.080162525177002,
        2.0852363109588623,
        2.0802061557769775,
        2.0816497802734375,
        2.0845043659210205,
        2.0735552310943604,
        2.0766713619232178,
        2.0768494606018066,
        2.0724563598632812,
        2.0747623443603516,
        2.073066473007202,
        2.0591773986816406,
        2.0558547973632812,
        2.0603835582733154,
        2.0623271465301514,
        2.053203582763672,
        2.0581398010253906,
        2.056865692138672,
        2.0570695400238037,
        2.0533945560455322,
        2.050473690032959,
        2.0507938861846924,
        2.0538809299468994,
        2.0517404079437256,
        2.053309679031372,
        2.0565543174743652,
        2.055633783340454,
        2.058332681655884,
        2.0556774139404297,
        2.0540077686309814,
        2.049934148788452,
        2.0471208095550537,
        2.042541265487671,
        2.0387401580810547,
        2.0382540225982666,
        2.0307719707489014,
        2.0249860286712646,
        2.0066497325897217,
        2.0006704330444336,
        1.9935840368270874,
        1.9809237718582153,
        1.9684171676635742,
        1.9841877222061157,
        1.9105585813522339,
        1.8960447311401367,
        1.8844295740127563,
        1.905379295349121,
        1.8855466842651367,
        1.8750801086425781,
        1.8556965589523315,
        1.7968190908432007,
        1.7769402265548706,
        1.772720456123352,
        1.7674497365951538,
        1.7542724609375,
        1.7508196830749512,
        1.7328206300735474,
        1.7198858261108398,
        1.7086697816848755,
        1.694586157798767,
        1.6961212158203125,
        1.704995036125183,
        1.6908507347106934,
        1.6946617364883423,
        1.6771570444107056,
        1.6708930730819702,
        1.6811834573745728,
        1.6975075006484985,
        1.7040133476257324,
        1.7201271057128906,
        1.7343589067459106,
        1.7494487762451172,
        1.750073790550232,
        1.7929258346557617,
        1.9038976430892944,
        1.9056190252304077,
        1.9006458520889282,
        1.8810044527053833,
        1.8212127685546875,
        1.8292627334594727,
        1.8820300102233887,
        1.9547172784805298,
        2.125746011734009,
        2.1535799503326416,
        2.1494569778442383,
        2.1483614444732666,
        2.14796781539917,
        2.1494977474212646,
        2.1502044200897217,
        2.147984266281128,
        2.1466064453125,
        2.14858078956604,
        2.1489052772521973,
        2.1483147144317627,
        2.1488492488861084,
        2.148700714111328,
        2.1479759216308594,
        2.1477644443511963,
        2.1504037380218506,
        2.1503889560699463,
        2.1501240730285645,
        2.1492204666137695,
        2.1497623920440674,
        2.1495306491851807,
        2.148820161819458,
        2.1500301361083984,
        2.1493520736694336,
        2.1492133140563965,
        2.1494860649108887,
        2.148620367050171,
        2.1477856636047363,
        2.14841365814209,
        2.148564338684082,
        2.1493442058563232,
        2.1495449542999268,
        2.147695541381836,
        2.147719144821167,
        2.149981737136841,
        2.151064157485962,
        2.1488964557647705,
        2.1491541862487793,
        2.1494457721710205,
        2.1492855548858643,
        2.149818181991577,
        2.1498594284057617,
        2.1487820148468018,
        2.150285005569458,
        2.148648738861084,
        2.150742292404175,
        2.1492745876312256,
        2.1486613750457764,
        2.1479456424713135,
        2.1508398056030273,
        2.1514108180999756,
        2.1503899097442627,
        2.1511824131011963,
        2.1514129638671875,
        2.151209592819214,
        2.148587465286255,
        2.148162364959717,
        2.1460516452789307,
        2.148430585861206,
        2.1489369869232178,
        2.1465024948120117,
        2.1479568481445312,
        2.1477556228637695,
        2.1466317176818848,
        2.1479201316833496,
        2.145601272583008,
        2.1448583602905273,
        2.144253730773926,
        2.14143443107605,
        2.1428256034851074,
        2.142854690551758,
        2.1427090167999268,
        2.143589973449707,
        2.1424295902252197,
        2.1449575424194336,
        2.142207384109497,
        2.1474339962005615,
        2.1534202098846436,
        2.1492326259613037,
        2.1472418308258057,
        2.128713369369507,
        2.0744879245758057,
        2.077983856201172,
        2.086825132369995,
        2.0677921772003174,
        2.0499351024627686,
        2.035205125808716,
        2.0520012378692627,
        2.0064737796783447,
        1.9827412366867065,
        1.9407049417495728,
        1.9070838689804077,
        1.8699229955673218,
        1.8525129556655884,
        1.8397928476333618,
        1.8273625373840332,
        1.8157302141189575,
        1.8083630800247192,
        1.810760498046875,
        1.8058676719665527,
        1.808190941810608,
        1.8026889562606812,
        1.80234956741333,
        1.8045501708984375,
        1.8217774629592896,
        1.822619080543518,
        1.8431105613708496,
        1.8368992805480957,
        1.8566373586654663,
        1.8654659986495972,
        1.8580626249313354,
        1.877165675163269,
        1.8812947273254395,
        1.9033797979354858,
        1.9210519790649414,
        1.930658221244812,
        1.9450126886367798,
        1.9676321744918823,
        1.9853814840316772,
        2.0016801357269287,
        2.014756441116333,
        2.025240898132324,
        2.031799554824829,
        2.0421223640441895,
        2.0518462657928467,
        2.0576891899108887,
        2.062318801879883,
        2.0660016536712646,
        2.066640615463257,
        2.0716207027435303,
        2.072768449783325,
        2.0742878913879395,
        2.0783684253692627,
        2.0784199237823486,
        2.0763278007507324,
        2.0747742652893066,
        2.07515025138855,
        2.0752477645874023,
        2.075265645980835,
        2.074697256088257,
        2.076124429702759,
        2.0770742893218994,
        2.0766212940216064,
        2.0777251720428467,
        2.0798470973968506,
        2.079373598098755,
        2.081005334854126,
        2.0804879665374756,
        2.0814006328582764,
        2.0818240642547607,
        2.0828161239624023,
        2.0838730335235596,
        2.0826380252838135,
        2.080981969833374,
        2.0799126625061035,
        2.0823471546173096,
        2.0818188190460205,
        2.0825278759002686,
        2.081977128982544,
        2.0839648246765137,
        2.085186243057251,
        2.084162712097168,
        2.082775354385376,
        2.0841782093048096,
        2.0850467681884766,
        2.085970640182495,
        2.0859782695770264,
        2.087554693222046,
        2.0875532627105713,
        2.088275194168091,
        2.0860443115234375,
        2.0863430500030518,
        2.0865225791931152,
        2.0873374938964844,
        2.086773633956909,
        2.0857017040252686,
        2.085665702819824,
        2.085291862487793,
        2.0830764770507812,
        2.0846192836761475,
        2.082496404647827,
        2.0823051929473877,
        2.082155466079712,
        2.081942319869995,
        2.0792391300201416,
        2.0821292400360107,
        2.08402156829834,
        2.0819144248962402,
        2.0784494876861572,
        2.079193115234375,
        2.079408645629883,
        2.0804951190948486,
        2.0799155235290527,
        2.079874277114868,
        2.0819904804229736,
        2.083730936050415,
        2.0792503356933594,
        2.080317497253418,
        2.079941987991333,
        2.081847906112671,
        2.0819623470306396,
        2.0835788249969482,
        2.0834808349609375,
        2.0850327014923096,
        2.0842392444610596,
        2.082885503768921,
        2.086108684539795,
        2.0834741592407227,
        2.0815517902374268,
        2.082472085952759,
        2.080120325088501,
        2.0806972980499268,
        2.0825140476226807,
        2.082111358642578,
        2.0818240642547607,
        2.085005044937134,
        2.084683656692505,
        2.083726167678833,
        2.0850703716278076,
        2.0850462913513184,
        2.084467649459839,
        2.083878755569458,
        2.0846540927886963,
        2.084739923477173,
        2.0842297077178955,
        2.0837490558624268,
        2.0844314098358154,
        2.0851306915283203,
        2.085340738296509,
        2.083796262741089,
        2.085127592086792,
        2.0848355293273926,
        2.08559250831604,
        2.081068754196167,
        2.0796568393707275,
        2.080457925796509,
        2.0812289714813232,
        2.083707094192505,
        2.0815651416778564,
        2.0824334621429443,
        2.0767786502838135,
        2.0772035121917725,
        2.0817394256591797,
        2.0813581943511963,
        2.077209234237671,
        2.079400062561035,
        2.0803964138031006,
        2.081461191177368,
        2.08215594291687,
        2.0807836055755615,
        2.080091714859009,
        2.0781145095825195,
        2.0786373615264893,
        2.078687906265259,
        2.083118200302124,
        2.082120895385742,
        2.0822699069976807,
        2.082224130630493,
        2.082893133163452,
        2.081240653991699,
        2.081963300704956,
        2.081115961074829,
        2.0807182788848877,
        2.0815019607543945,
        2.0813443660736084,
        2.0842275619506836,
        2.0824167728424072,
        2.0824239253997803,
        2.0805299282073975,
        2.0808987617492676,
        2.078233003616333,
        2.0758960247039795,
        2.078291654586792,
        2.078533411026001,
        2.0820491313934326,
        2.083916187286377,
        2.0854804515838623,
        2.0780069828033447,
        2.07210111618042,
        2.080645799636841,
        2.0759201049804688,
        2.073446273803711,
        2.067126512527466,
        2.068579912185669,
        2.067840576171875,
        2.069164514541626,
        2.072202205657959,
        2.070378065109253,
        2.0745651721954346,
        2.069705009460449,
        2.064380407333374,
        2.059971570968628,
        2.0604641437530518,
        2.0582711696624756,
        2.050121545791626,
        2.045325517654419,
        2.0333778858184814,
        2.023265838623047,
        2.0192251205444336,
        2.0066537857055664,
        1.9945176839828491,
        1.973035454750061,
        1.9643961191177368,
        1.9190001487731934,
        1.8936710357666016,
        1.8834553956985474,
        1.8709467649459839,
        1.859810471534729,
        1.845552921295166,
        1.8349558115005493,
        1.8272665739059448,
        1.8202863931655884,
        1.8117256164550781,
        1.8055156469345093,
        1.7875571250915527,
        1.7797532081604004,
        1.7739218473434448,
        1.7685693502426147,
        1.7546329498291016,
        1.746267318725586,
        1.7265472412109375,
        1.722363829612732,
        1.7067737579345703,
        1.708003044128418,
        1.6936688423156738,
        1.6960182189941406,
        1.6901243925094604,
        1.6956456899642944,
        1.6916671991348267,
        1.701310157775879,
        1.701107144355774,
        1.7110614776611328,
        1.7159000635147095,
        1.7265323400497437,
        1.7442560195922852,
        1.7595051527023315,
        1.7590373754501343,
        1.8158868551254272,
        1.8567472696304321,
        1.9641579389572144,
        2.082082986831665,
        2.09641432762146,
        2.141777992248535,
        2.1476759910583496,
        2.148963212966919,
        2.1449434757232666,
        2.147547483444214,
        2.1485040187835693,
        2.1498172283172607,
        2.1495726108551025,
        2.1485414505004883,
        2.150296926498413,
        2.149489402770996,
        2.1500003337860107,
        2.1496872901916504,
        2.149573564529419,
        2.149088144302368,
        2.1491150856018066,
        2.1497671604156494,
        2.149526834487915,
        2.1495327949523926,
        2.149279832839966,
        2.148658037185669,
        2.148212432861328,
        2.1480019092559814,
        2.1491174697875977,
        2.148329496383667,
        2.1483514308929443,
        2.149034261703491,
        2.1485002040863037,
        2.1482927799224854,
        2.1493332386016846,
        2.1494576930999756,
        2.149522542953491,
        2.1493237018585205,
        2.1490371227264404,
        2.1490843296051025,
        2.1479039192199707,
        2.1485984325408936,
        2.149022340774536,
        2.1483895778656006,
        2.14913010597229,
        2.149465322494507,
        2.1492207050323486,
        2.150270700454712,
        2.1510159969329834,
        2.150984048843384,
        2.1514241695404053,
        2.1519052982330322,
        2.151395559310913,
        2.151486396789551,
        2.152069568634033,
        2.1501424312591553,
        2.1471517086029053,
        2.1474673748016357,
        2.1491549015045166,
        2.148231029510498,
        2.1452982425689697,
        2.1480565071105957,
        2.1478781700134277,
        2.142076253890991,
        2.150439500808716,
        2.1544711589813232,
        2.155475378036499,
        2.100079298019409,
        2.0357768535614014,
        2.0185906887054443,
        2.075782060623169,
        2.0564212799072266,
        2.075700044631958,
        2.071951150894165,
        2.054567337036133,
        2.057821035385132,
        2.048440456390381,
        2.0518455505371094,
        2.055769205093384,
        2.0516257286071777,
        2.0177743434906006,
        2.0050606727600098,
        1.966859221458435,
        1.8834519386291504,
        1.8754582405090332,
        1.855343222618103,
        1.832354187965393,
        1.822304129600525,
        1.8125873804092407,
        1.8298524618148804,
        1.8319778442382812,
        1.82610285282135,
        1.8223596811294556,
        1.8221935033798218,
        1.8195215463638306,
        1.8127288818359375,
        1.8104933500289917,
        1.8077527284622192,
        1.796291708946228,
        1.8249292373657227,
        1.8290497064590454,
        1.861242413520813,
        1.8796755075454712,
        1.8811756372451782,
        1.9434577226638794,
        1.9620462656021118,
        1.9729584455490112,
        1.9866143465042114,
        1.9981886148452759,
        2.0112035274505615,
        2.022178888320923,
        2.027594804763794,
        2.0432331562042236,
        2.045485258102417,
        2.0498788356781006,
        2.0559933185577393,
        2.060924530029297,
        2.065452814102173,
        2.0658533573150635,
        2.0671122074127197,
        2.0635769367218018,
        2.0667049884796143,
        2.0687742233276367,
        2.070160388946533,
        2.072256326675415,
        2.071161985397339,
        2.072802782058716,
        2.0739877223968506,
        2.07478928565979,
        2.0744080543518066,
        2.0734262466430664,
        2.074051856994629,
        2.0755341053009033,
        2.0754878520965576,
        2.07608962059021,
        2.0776796340942383,
        2.076678514480591,
        2.077738046646118,
        2.075141668319702,
        2.0736255645751953,
        2.07544207572937,
        2.0760905742645264,
        2.0761454105377197,
        2.0786514282226562,
        2.0783708095550537,
        2.0789988040924072,
        2.0797226428985596,
        2.079596757888794,
        2.0783979892730713,
        2.079740285873413,
        2.07906436920166,
        2.0767879486083984,
        2.078460931777954,
        2.076655149459839,
        2.0789713859558105,
        2.079293966293335,
        2.078263998031616,
        2.0789132118225098,
        2.078303098678589,
        2.0799295902252197,
        2.078599214553833,
        2.0787014961242676,
        2.0777504444122314,
        2.0794990062713623,
        2.0782968997955322,
        2.0805187225341797,
        2.0801024436950684,
        2.079805612564087,
        2.079660415649414,
        2.0797243118286133,
        2.0792577266693115,
        2.080172300338745,
        2.0792837142944336,
        2.079038619995117,
        2.0787572860717773,
        2.0785439014434814,
        2.0798676013946533,
        2.0790131092071533,
        2.0792760848999023,
        2.0797576904296875,
        2.0801312923431396,
        2.078951120376587,
        2.0781309604644775,
        2.078406572341919,
        2.0789968967437744,
        2.0787289142608643,
        2.078580141067505,
        2.0794312953948975,
        2.080552816390991,
        2.0799708366394043,
        2.079270601272583,
        2.0798428058624268,
        2.0785884857177734,
        2.078859567642212,
        2.0790762901306152,
        2.0798661708831787,
        2.077463388442993,
        2.077866315841675,
        2.078195810317993,
        2.0776586532592773,
        2.078110456466675,
        2.077152967453003,
        2.0770983695983887,
        2.0777289867401123,
        2.077629327774048,
        2.077989339828491,
        2.0778701305389404,
        2.0779941082000732,
        2.076572895050049,
        2.0784947872161865,
        2.078658103942871,
        2.0783958435058594,
        2.0786571502685547,
        2.0781407356262207,
        2.078721523284912,
        2.078888177871704,
        2.0788142681121826,
        2.0783369541168213,
        2.0784270763397217,
        2.077799081802368,
        2.0784366130828857,
        2.0790791511535645,
        2.0782077312469482,
        2.0769238471984863,
        2.0782151222229004,
        2.0784647464752197,
        2.077066421508789,
        2.0776398181915283,
        2.0769944190979004,
        2.077988386154175,
        2.0775768756866455,
        2.07768177986145,
        2.0775668621063232,
        2.079115867614746,
        2.0785608291625977,
        2.0776872634887695,
        2.07895827293396,
        2.07841157913208,
        2.0792717933654785,
        2.079943895339966,
        2.0775020122528076,
        2.0783889293670654,
        2.0784738063812256,
        2.077493667602539,
        2.079730749130249,
        2.0779969692230225,
        2.079239845275879,
        2.077467918395996,
        2.07922101020813,
        2.0800912380218506,
        2.0776100158691406,
        2.0779049396514893,
        2.0779833793640137,
        2.0768744945526123,
        2.0775339603424072,
        2.076948642730713,
        2.076218366622925,
        2.0782477855682373,
        2.078568458557129,
        2.0785789489746094,
        2.0773909091949463,
        2.077439308166504,
        2.0758721828460693,
        2.077925682067871,
        2.079012870788574,
        2.0779666900634766,
        2.078000068664551,
        2.078293561935425,
        2.0783958435058594,
        2.0796849727630615,
        2.0782148838043213,
        2.0783698558807373,
        2.0795795917510986,
        2.0777223110198975,
        2.0789098739624023,
        2.0793380737304688,
        2.0785677433013916,
        2.079596519470215,
        2.0789968967437744,
        2.0795810222625732,
        2.0790960788726807,
        2.079493284225464,
        2.078320026397705,
        2.079054117202759,
        2.078700304031372,
        2.079174041748047,
        2.0787651538848877,
        2.0798187255859375,
        2.0781521797180176,
        2.0795557498931885,
        2.080035448074341,
        2.0783588886260986,
        2.079272985458374,
        2.078103542327881,
        2.078294038772583,
        2.07802414894104,
        2.080242156982422,
        2.07854962348938,
        2.08103084564209,
        2.0811846256256104,
        2.0807080268859863,
        2.081312656402588,
        2.080354928970337,
        2.0809924602508545,
        2.0800769329071045,
        2.079172372817993,
        2.07959246635437,
        2.078880786895752,
        2.0783603191375732,
        2.0795953273773193,
        2.080343246459961,
        2.0795562267303467,
        2.0784614086151123,
        2.0798490047454834,
        2.0801992416381836,
        2.0794925689697266,
        2.0787110328674316,
        2.0798327922821045,
        2.078429937362671,
        2.077866554260254,
        2.078732967376709,
        2.0789363384246826,
        2.0782902240753174,
        2.0791871547698975,
        2.0766963958740234,
        2.0783889293670654,
        2.0773353576660156,
        2.077975034713745,
        2.078244924545288,
        2.076219320297241,
        2.0761559009552,
        2.0759947299957275,
        2.075937271118164,
        2.075866460800171,
        2.07635498046875,
        2.075150728225708,
        2.0771453380584717,
        2.0748722553253174,
        2.075183391571045,
        2.076451301574707,
        2.0755374431610107,
        2.0753872394561768,
        2.0755910873413086,
        2.076850652694702,
        2.0780415534973145,
        2.078023672103882,
        2.078455924987793,
        2.079584836959839,
        2.0767123699188232,
        2.075047254562378,
        2.076939105987549,
        2.0777976512908936,
        2.076184034347534,
        2.0796878337860107,
        2.078953981399536,
        2.0792417526245117,
        2.0788204669952393,
        2.0804522037506104,
        2.0821263790130615,
        2.078338861465454,
        2.074291467666626,
        2.0727107524871826,
        2.0778870582580566,
        2.0752322673797607,
        2.075529098510742,
        2.0756137371063232,
        2.0746841430664062,
        2.071720838546753,
        2.067700147628784,
        2.066833972930908,
        2.0643019676208496,
        2.0585532188415527,
        2.059288740158081,
        2.0657222270965576,
        2.0663254261016846,
        2.0644619464874268,
        2.057589530944824,
        2.0536413192749023,
        2.048295259475708,
        2.029792308807373,
        2.0179412364959717,
        1.998104453086853,
        1.987265944480896,
        1.9833801984786987,
        1.9672800302505493,
        1.9480801820755005,
        1.930402398109436,
        1.9068422317504883,
        1.8971500396728516,
        1.887898564338684,
        1.8640786409378052,
        1.8422514200210571,
        1.8365875482559204,
        1.8087009191513062,
        1.7788759469985962,
        1.7635854482650757,
        1.754416584968567,
        1.7372571229934692,
        1.6901297569274902,
        1.6606931686401367,
        1.6386514902114868,
        1.605514407157898,
        1.587382435798645,
        1.5692259073257446,
        1.5707263946533203,
        1.5558356046676636,
        1.5499529838562012,
        1.5567456483840942,
        1.5641452074050903,
        1.5673961639404297,
        1.5711736679077148,
        1.5864723920822144,
        1.6081265211105347,
        1.6264530420303345,
        1.6527360677719116,
        1.6616511344909668,
        1.6818904876708984,
        1.6947599649429321,
        1.7443739175796509,
        1.7509390115737915,
        1.7961540222167969,
        1.8201714754104614,
        1.9088748693466187,
        2.0470073223114014,
        2.094235897064209,
        2.148249626159668,
        2.148994207382202,
        2.1514930725097656,
        2.148340940475464,
        2.144320249557495,
        2.1451733112335205,
        2.1456754207611084,
        2.1484243869781494,
        2.14623761177063,
        2.1479098796844482,
        2.1492440700531006,
        2.1497087478637695,
        2.1494009494781494,
        2.1492295265197754,
        2.149576425552368,
        2.1501388549804688,
        2.1502091884613037,
        2.150118112564087,
        2.150378942489624,
        2.1495256423950195,
        2.1495490074157715,
        2.1495227813720703,
        2.1501007080078125,
        2.149462938308716,
        2.1505963802337646,
        2.151048421859741,
        2.1505701541900635,
        2.1507043838500977,
        2.1518280506134033,
        2.1516218185424805,
        2.1499502658843994,
        2.147601842880249,
        2.1497275829315186,
        2.1488635540008545,
        2.149076223373413,
        2.1470181941986084,
        2.1472561359405518,
        2.14872145652771,
        2.1474313735961914,
        2.1468658447265625,
        2.145320415496826,
        2.1462314128875732,
        2.1451375484466553,
        2.145920515060425,
        2.1422770023345947,
        2.149017810821533,
        2.14635968208313,
        2.154419183731079,
        2.151042938232422,
        2.1480250358581543,
        2.0862245559692383,
        2.053630828857422,
        2.0604960918426514,
        2.077744245529175,
        2.045632839202881,
        2.0360324382781982,
        2.0314347743988037,
        2.0389974117279053,
        2.0420212745666504,
        2.027996301651001,
        1.9611444473266602,
        1.9227889776229858,
        1.9053558111190796,
        1.8230417966842651,
        1.7747688293457031,
        1.770284652709961,
        1.761994481086731,
        1.7564090490341187,
        1.7568074464797974,
        1.7690995931625366,
        1.7631267309188843,
        1.7579330205917358,
        1.757682204246521,
        1.7570875883102417,
        1.7448220252990723,
        1.7421751022338867,
        1.7500401735305786,
        1.7695560455322266,
        1.774743914604187,
        1.7940977811813354,
        1.8368420600891113,
        1.8766423463821411,
        1.9054445028305054,
        1.9193367958068848,
        1.9353914260864258,
        1.9525898694992065,
        1.982237696647644,
        1.9889289140701294,
        2.0025830268859863,
        2.011080265045166,
        2.014435052871704,
        2.02286696434021,
        2.025296211242676,
        2.034104585647583,
        2.0397772789001465,
        2.044360637664795,
        2.0449776649475098,
        2.048816680908203,
        2.0518882274627686,
        2.0520236492156982,
        2.0554893016815186,
        2.0589635372161865,
        2.065110445022583,
        2.067488670349121,
        2.068091869354248,
        2.0703794956207275,
        2.0716850757598877,
        2.073772430419922,
        2.0735485553741455,
        2.0719025135040283,
        2.07466983795166,
        2.0757205486297607,
        2.076525926589966,
        2.0780022144317627,
        2.0792925357818604,
        2.0799713134765625,
        2.08036732673645,
        2.0805399417877197,
        2.0791757106781006,
        2.0778558254241943,
        2.079366683959961,
        2.079040765762329,
        2.078681230545044,
        2.0778796672821045,
        2.079118490219116,
        2.0796337127685547,
        2.080420970916748,
        2.080434560775757,
        2.0812604427337646,
        2.0807204246520996,
        2.0816946029663086,
        2.08150315284729,
        2.0832364559173584,
        2.0817079544067383,
        2.0822017192840576,
        2.082080602645874,
        2.0818309783935547,
        2.0823307037353516,
        2.0825164318084717,
        2.0817935466766357,
        2.0803415775299072,
        2.0813310146331787,
        2.081162691116333,
        2.0820181369781494,
        2.081270933151245,
        2.081629514694214,
        2.081061840057373,
        2.081315279006958,
        2.0809121131896973,
        2.0808093547821045,
        2.081533432006836,
        2.080995798110962,
        2.0797626972198486,
        2.080200433731079,
        2.0797884464263916,
        2.08085298538208,
        2.081036329269409,
        2.0813374519348145,
        2.0824811458587646,
        2.0816338062286377,
        2.0796661376953125,
        2.078617811203003,
        2.078641653060913,
        2.076568841934204,
        2.0784170627593994,
        2.0769522190093994,
        2.0782015323638916,
        2.0769741535186768,
        2.0772085189819336,
        2.0781447887420654,
        2.0774781703948975,
        2.0783846378326416,
        2.0787277221679688,
        2.0796046257019043,
        2.0770986080169678,
        2.0789082050323486,
        2.07922101020813,
        2.07828426361084,
        2.0782546997070312,
        2.0781381130218506,
        2.078336477279663,
        2.0775511264801025,
        2.0783851146698,
        2.0759263038635254,
        2.0762197971343994,
        2.076638698577881,
        2.0765371322631836,
        2.07721209526062,
        2.0762503147125244,
        2.0758464336395264,
        2.075605630874634,
        2.0764334201812744,
        2.076204776763916,
        2.075486183166504,
        2.0759050846099854,
        2.0769736766815186,
        2.075899362564087,
        2.0756995677948,
        2.0766499042510986,
        2.075059652328491,
        2.0768063068389893,
        2.0765249729156494,
        2.077242612838745,
        2.076775312423706,
        2.076808214187622,
        2.077273368835449,
        2.0764355659484863,
        2.0767693519592285,
        2.077284574508667,
        2.076324224472046,
        2.0775890350341797,
        2.075984477996826,
        2.0775511264801025,
        2.078538179397583,
        2.079911470413208,
        2.078291654586792,
        2.0785973072052,
        2.079629898071289,
        2.081132650375366,
        2.080608606338501,
        2.081970453262329,
        2.081817865371704,
        2.084723472595215,
        2.082378625869751,
        2.080954074859619,
        2.080303430557251,
        2.0772101879119873,
        2.073821783065796,
        2.070640802383423,
        2.064737558364868,
        2.0600998401641846,
        2.0631587505340576,
        2.060196876525879,
        2.058598041534424,
        2.053973436355591,
        2.052305221557617,
        2.0447309017181396,
        2.043895959854126,
        2.0421142578125,
        2.0419962406158447,
        2.0297069549560547,
        2.040193557739258,
        2.037468194961548,
        2.0320982933044434,
        2.025068521499634,
        2.0167410373687744,
        2.007235288619995,
        1.9810515642166138,
        1.98410165309906,
        1.9744781255722046,
        1.972995638847351,
        1.964420199394226,
        1.949552059173584,
        1.9386638402938843,
        1.923862338066101,
        1.9074358940124512,
        1.8997548818588257,
        1.8766003847122192,
        1.8637293577194214,
        1.8450545072555542,
        1.8232508897781372,
        1.804051399230957,
        1.7707818746566772,
        1.7534570693969727,
        1.7225313186645508,
        1.7048730850219727,
        1.619185447692871,
        1.51699960231781,
        1.6093517541885376,
        1.599863886833191,
        1.570564866065979,
        1.5317000150680542,
        1.5081642866134644,
        1.4681663513183594,
        1.4548839330673218,
        1.4395251274108887,
        1.4209270477294922,
        1.4174742698669434,
        1.4113540649414062,
        1.4024032354354858,
        1.4244710206985474,
        1.4607653617858887,
        1.4992127418518066,
        1.5481518507003784,
        1.5857080221176147,
        1.634954571723938,
        1.641526699066162,
        1.69369637966156,
        1.8482872247695923,
        1.9319230318069458,
        1.978615164756775,
        2.042559862136841,
        2.0389535427093506,
        2.029090166091919,
        2.0276145935058594,
        2.068537950515747,
        2.107426881790161,
        2.126495122909546,
        2.086714744567871,
        2.0502684116363525,
        1.8341187238693237,
        1.806746006011963,
        2.0197269916534424,
        2.149235725402832,
        2.149585485458374,
        2.148594617843628,
        2.1484577655792236,
        2.1486592292785645,
        2.1483423709869385,
        2.1475932598114014,
        2.148066520690918,
        2.1482455730438232,
        2.148597240447998,
        2.149646043777466,
        2.1496939659118652,
        2.1493847370147705,
        2.1495959758758545,
        2.1493451595306396,
        2.15043568611145,
        2.1503257751464844,
        2.1503946781158447,
        2.150031805038452,
        2.1499359607696533,
        2.150151491165161,
        2.1479365825653076,
        2.1528048515319824,
        2.1318132877349854,
        2.146988868713379,
        2.150886058807373,
        1.9766496419906616,
        1.8787387609481812,
        1.9211879968643188,
        2.0155880451202393,
        2.0359103679656982,
        2.0591695308685303,
        2.0691983699798584,
        2.0644609928131104,
        2.0465800762176514,
        2.0483248233795166,
        2.025789499282837,
        2.002588987350464,
        1.9658464193344116,
        1.9372817277908325,
        1.9042702913284302,
        1.8934606313705444,
        1.8573788404464722,
        1.841856837272644,
        1.82697331905365,
        1.807960867881775,
        1.794655203819275,
        1.7802658081054688,
        1.7750967741012573,
        1.7705827951431274,
        1.771630883216858,
        1.7588199377059937,
        1.7527915239334106,
        1.7485414743423462,
        1.748003363609314,
        1.741711139678955,
        1.74360191822052,
        1.7506259679794312,
        1.753767967224121,
        1.7645249366760254,
        1.7718745470046997,
        1.7662991285324097,
        1.7686060667037964,
        1.7687268257141113,
        1.7694110870361328,
        1.7728828191757202,
        1.785116195678711,
        1.7948402166366577,
        1.8324953317642212,
        1.8476296663284302,
        1.872781753540039,
        1.9302102327346802,
        1.9364763498306274,
        1.9446614980697632,
        1.9767022132873535,
        1.9880107641220093,
        2.002204656600952,
        2.0099241733551025,
        2.019885540008545,
        2.0177149772644043,
        2.0235092639923096,
        2.0300803184509277,
        2.0288994312286377,
        2.0364601612091064,
        2.04130482673645,
        2.047652006149292,
        2.045640707015991,
        2.0468292236328125,
        2.0474002361297607,
        2.0539824962615967,
        2.056746006011963,
        2.0617668628692627,
        2.0635292530059814,
        2.0688517093658447,
        2.0674831867218018,
        2.0695621967315674,
        2.073997735977173,
        2.072169065475464,
        2.0753121376037598,
        2.075204610824585,
        2.0761940479278564,
        2.075622797012329,
        2.0767457485198975,
        2.0766232013702393,
        2.078404426574707,
        2.0750927925109863,
        2.0749943256378174,
        2.0764851570129395,
        2.075314998626709,
        2.076287269592285,
        2.0770177841186523,
        2.0770792961120605,
        2.0785324573516846,
        2.078070878982544,
        2.0780818462371826,
        2.077993631362915,
        2.0795657634735107,
        2.0797290802001953,
        2.079693555831909,
        2.0809946060180664,
        2.0811002254486084,
        2.0824573040008545,
        2.082301378250122,
        2.0823557376861572,
        2.0818440914154053,
        2.0823333263397217,
        2.0831823348999023,
        2.0818932056427,
        2.081226110458374,
        2.082582712173462,
        2.081153631210327,
        2.0824222564697266,
        2.082310438156128,
        2.0837743282318115,
        2.0810184478759766,
        2.0829427242279053,
        2.084221839904785,
        2.083613872528076,
        2.083752393722534,
        2.0854697227478027,
        2.0833370685577393,
        2.082261323928833,
        2.0839896202087402,
        2.084479570388794,
        2.0833189487457275,
        2.08491587638855,
        2.0865015983581543,
        2.0867843627929688,
        2.086057424545288,
        2.0858795642852783,
        2.085662603378296,
        2.085545539855957,
        2.086308479309082,
        2.085634708404541,
        2.08651065826416,
        2.085634469985962,
        2.087745428085327,
        2.085618734359741,
        2.0851240158081055,
        2.0846188068389893,
        2.0862362384796143,
        2.086244821548462,
        2.0847060680389404,
        2.0860698223114014,
        2.0870554447174072,
        2.0870702266693115,
        2.087772846221924,
        2.0896084308624268,
        2.088167428970337,
        2.088552474975586,
        2.0877768993377686,
        2.087728977203369,
        2.0878307819366455,
        2.0890285968780518,
        2.0858004093170166,
        2.0861408710479736,
        2.086489677429199,
        2.0851306915283203,
        2.085336923599243,
        2.084392547607422,
        2.086540937423706,
        2.0848073959350586,
        2.0860347747802734,
        2.085618734359741,
        2.0845577716827393,
        2.085951089859009,
        2.0862369537353516,
        2.0864925384521484,
        2.0870158672332764,
        2.087660074234009,
        2.087877035140991,
        2.085890054702759,
        2.085268259048462,
        2.0842559337615967,
        2.084000825881958,
        2.0780088901519775,
        2.080627679824829,
        2.0832841396331787,
        2.0816667079925537,
        2.080695390701294,
        2.077848196029663,
        2.0700790882110596,
        2.0726497173309326,
        2.067216157913208,
        2.0545830726623535,
        2.050297260284424,
        2.044774293899536,
        2.050281047821045,
        2.0491154193878174,
        2.037355899810791,
        2.0498178005218506,
        2.051342010498047,
        2.0489208698272705,
        2.0487327575683594,
        2.0405995845794678,
        2.039094924926758,
        2.0189061164855957,
        2.0193235874176025,
        2.000598430633545,
        1.9741312265396118,
        1.964065432548523,
        1.9758769273757935,
        1.9675226211547852,
        1.9493780136108398,
        1.9425320625305176,
        1.939596176147461,
        1.9197773933410645,
        1.9005451202392578,
        1.885200023651123,
        1.8731578588485718,
        1.8548016548156738,
        1.8366117477416992,
        1.815356731414795,
        1.7934417724609375,
        1.7638472318649292,
        1.7566901445388794,
        1.733910083770752,
        1.71121346950531,
        1.6408205032348633,
        1.6396270990371704,
        1.6123653650283813,
        1.541899561882019,
        1.5741914510726929,
        1.5690197944641113,
        1.5147838592529297,
        1.4741679430007935,
        1.4696179628372192,
        1.4331918954849243,
        1.3948885202407837,
        1.4098385572433472,
        1.4093303680419922,
        1.4515514373779297,
        1.4539283514022827,
        1.5091851949691772,
        1.5747319459915161,
        1.6202837228775024,
        1.6477952003479004,
        1.6920157670974731,
        1.8104079961776733,
        1.927808165550232,
        1.9576215744018555,
        2.0282552242279053,
        2.0485951900482178,
        2.0565083026885986,
        2.056813955307007,
        2.0450079441070557,
        2.061326026916504,
        2.0826151371002197,
        1.9984664916992188,
        1.9635885953903198,
        2.0773203372955322,
        2.0728015899658203,
        2.1488029956817627,
        2.1504905223846436,
        2.150278091430664,
        2.1486921310424805,
        2.14909029006958,
        2.1484792232513428,
        2.1490702629089355,
        2.1483991146087646,
        2.148174285888672,
        2.1489336490631104,
        2.148538827896118,
        2.148027181625366,
        2.1469762325286865,
        2.148606300354004,
        2.1477646827697754,
        2.1478021144866943,
        2.148522138595581,
        2.148157835006714,
        2.1469287872314453,
        2.147611141204834,
        2.148268938064575,
        2.148435115814209,
        2.148660898208618,
        2.149632215499878,
        2.145888090133667,
        2.1465394496917725,
        2.1452057361602783,
        2.1475536823272705,
        2.148866891860962,
        2.151637554168701,
        2.138761281967163,
        2.127967596054077,
        2.133328676223755,
        2.1207573413848877,
        1.955119252204895,
        1.8863716125488281,
        1.9175468683242798,
        2.007286310195923,
        2.024090528488159,
        2.0365102291107178,
        2.0223772525787354,
        2.015244722366333,
        2.02837872505188,
        1.9872961044311523,
        1.9818342924118042,
        1.964012622833252,
        1.90192711353302,
        1.8674238920211792,
        1.843382716178894,
        1.820061206817627,
        1.7962883710861206,
        1.7767983675003052,
        1.7695473432540894,
        1.7582472562789917,
        1.755520224571228,
        1.747126579284668,
        1.7503677606582642,
        1.7485727071762085,
        1.7510722875595093,
        1.7526086568832397,
        1.7593857049942017,
        1.755233645439148,
        1.7569490671157837,
        1.7615116834640503,
        1.7689858675003052,
        1.770135521888733,
        1.7949323654174805,
        1.8105558156967163,
        1.830283522605896,
        1.9054045677185059,
        1.9180073738098145,
        1.9284292459487915,
        1.9512957334518433,
        1.9700418710708618,
        1.9784609079360962,
        1.994823932647705,
        2.007493257522583,
        2.0069830417633057,
        2.013772964477539,
        2.025604486465454,
        2.0273795127868652,
        2.0384199619293213,
        2.0387566089630127,
        2.036092519760132,
        2.0405285358428955,
        2.041950225830078,
        2.043246269226074,
        2.0474979877471924,
        2.054880380630493,
        2.0569684505462646,
        2.0615081787109375,
        2.0643391609191895,
        2.0635769367218018,
        2.0672571659088135,
        2.0693185329437256,
        2.07092022895813,
        2.0734992027282715,
        2.07438063621521,
        2.0753331184387207,
        2.076357841491699,
        2.0761125087738037,
        2.075770139694214,
        2.076279878616333,
        2.0758888721466064,
        2.0756804943084717,
        2.0720465183258057,
        2.074420690536499,
        2.0725221633911133,
        2.073119640350342,
        2.0749855041503906,
        2.0744731426239014,
        2.0748064517974854,
        2.0753839015960693,
        2.075502395629883,
        2.075758934020996,
        2.0758326053619385,
        2.0758652687072754,
        2.0761938095092773,
        2.0757243633270264,
        2.08095645904541,
        2.0800998210906982,
        2.0723977088928223,
        2.072777509689331,
        2.0727694034576416,
        2.073302984237671,
        2.0772883892059326,
        2.078068733215332,
        2.076430559158325,
        2.0771725177764893,
        2.076627731323242,
        2.0770366191864014,
        2.07710599899292,
        2.0781748294830322,
        2.077449083328247,
        2.077629327774048,
        2.0782690048217773,
        2.0789811611175537,
        2.0793697834014893,
        2.0793187618255615,
        2.079496383666992,
        2.0791237354278564,
        2.0791738033294678,
        2.0793230533599854,
        2.0784356594085693,
        2.078373670578003,
        2.079683542251587,
        2.080322504043579,
        2.0788228511810303,
        2.0789685249328613,
        2.078996181488037,
        2.0769636631011963,
        2.0771324634552,
        2.0767765045166016,
        2.0765092372894287,
        2.0759763717651367,
        2.077007293701172,
        2.075788736343384,
        2.0754761695861816,
        2.0754950046539307,
        2.07561993598938,
        2.0763652324676514,
        2.0787250995635986,
        2.077789545059204,
        2.077826738357544,
        2.076716661453247,
        2.0774240493774414,
        2.077997922897339,
        2.0754599571228027,
        2.075779438018799,
        2.0754153728485107,
        2.076744318008423,
        2.0766637325286865,
        2.075544595718384,
        2.0796492099761963,
        2.0793073177337646,
        2.0810306072235107,
        2.0823028087615967,
        2.0813791751861572,
        2.082906484603882,
        2.0813658237457275,
        2.0809834003448486,
        2.0819265842437744,
        2.0821924209594727,
        2.0809013843536377,
        2.082282304763794,
        2.0779411792755127,
        2.077193021774292,
        2.078296422958374,
        2.0776801109313965,
        2.0805695056915283,
        2.0825283527374268,
        2.0824923515319824,
        2.0823044776916504,
        2.0825164318084717,
        2.0829102993011475,
        2.0817036628723145,
        2.082444429397583,
        2.081989049911499,
        2.081820487976074,
        2.080393075942993,
        2.0808894634246826,
        2.0806987285614014,
        2.082240343093872,
        2.0822062492370605,
        2.0815157890319824,
        2.0805718898773193,
        2.0807459354400635,
        2.081317186355591,
        2.0808162689208984,
        2.0807604789733887,
        2.0813210010528564,
        2.0829339027404785,
        2.0819361209869385,
        2.0813536643981934,
        2.0820119380950928,
        2.0820822715759277,
        2.0822079181671143,
        2.081812858581543,
        2.0818517208099365,
        2.0826103687286377,
        2.082043409347534,
        2.0833914279937744,
        2.084017515182495,
        2.079399824142456,
        2.080510377883911,
        2.082695245742798,
        2.0856592655181885,
        2.076763868331909,
        2.075819730758667,
        2.0731470584869385,
        2.0702526569366455,
        2.0745811462402344,
        2.0783536434173584,
        2.07582688331604,
        2.0720643997192383,
        2.070549488067627,
        2.071091413497925,
        2.06396484375,
        2.0587027072906494,
        2.0551440715789795,
        2.054323673248291,
        2.0597312450408936,
        2.0541257858276367,
        2.0458686351776123,
        2.045713186264038,
        2.0438332557678223,
        2.046738624572754,
        2.044945478439331,
        2.04183292388916,
        2.035169839859009,
        2.025315999984741,
        2.0146567821502686,
        2.0070130825042725,
        1.9940561056137085,
        1.9880119562149048,
        1.980921745300293,
        1.974493145942688,
        1.9671460390090942,
        1.9560664892196655,
        1.9469138383865356,
        1.934342384338379,
        1.9208502769470215,
        1.9040769338607788,
        1.8928399085998535,
        1.8641277551651,
        1.8468793630599976,
        1.8162094354629517,
        1.798274040222168,
        1.777956485748291,
        1.739734172821045,
        1.7043095827102661,
        1.6678310632705688,
        1.6237231492996216,
        1.5944629907608032,
        1.5818595886230469,
        1.572187066078186,
        1.5474034547805786,
        1.5425575971603394,
        1.530049204826355,
        1.5338231325149536,
        1.5329149961471558,
        1.5419315099716187,
        1.5528281927108765,
        1.565980076789856,
        1.5636192560195923,
        1.6113494634628296,
        1.6455134153366089,
        1.66839599609375,
        1.6989210844039917,
        1.7375234365463257,
        1.7494350671768188,
        1.8390222787857056,
        1.9910112619400024,
        2.073162794113159,
        2.1392080783843994,
        2.1508049964904785,
        2.150514841079712,
        2.150010347366333,
        2.1495513916015625,
        2.148683786392212,
        2.1486337184906006,
        2.149498224258423,
        2.1484882831573486,
        2.1502201557159424,
        2.1491200923919678,
        2.149512529373169,
        2.150681734085083,
        2.150588274002075,
        2.149646520614624,
        2.149801254272461,
        2.1501336097717285,
        2.150200605392456,
        2.1494650840759277,
        2.1497976779937744,
        2.1488091945648193,
        2.149550676345825,
        2.1494410037994385,
        2.149458646774292,
        2.148430109024048,
        2.1476686000823975,
        2.1473875045776367,
        2.1470096111297607,
        2.1463961601257324,
        2.1480681896209717,
        2.14819073677063,
        2.1470534801483154,
        2.147385835647583,
        2.1485321521759033,
        2.147265672683716,
        2.146857261657715,
        2.1455979347229004,
        2.1470367908477783,
        2.148124933242798,
        2.1452949047088623,
        2.1466026306152344,
        2.147503614425659,
        2.14811635017395,
        2.148595094680786,
        2.1472089290618896,
        2.148073196411133,
        2.1481587886810303,
        2.1477763652801514,
        2.146672248840332,
        2.1452176570892334,
        2.145345687866211,
        2.145472764968872,
        2.1453545093536377,
        2.1475985050201416,
        2.148615598678589,
        2.149486780166626,
        2.14753794670105,
        2.149409532546997,
        2.1483218669891357,
        2.146777868270874,
        2.1357550621032715,
        2.1159379482269287,
        2.0961554050445557,
        2.0942234992980957,
        2.0773565769195557,
        2.069366216659546,
        2.029572010040283,
        1.9922221899032593,
        2.009141445159912,
        2.004575490951538,
        2.0491244792938232,
        2.0373404026031494,
        1.9715328216552734,
        1.9832347631454468,
        1.967046856880188,
        1.9181365966796875,
        1.8831520080566406,
        1.8549553155899048,
        1.8392812013626099,
        1.8076601028442383,
        1.8199812173843384,
        1.8042794466018677,
        1.7903623580932617,
        1.7833245992660522,
        1.7789669036865234,
        1.76942777633667,
        1.7793036699295044,
        1.783411979675293,
        1.8020271062850952,
        1.8004107475280762,
        1.8170641660690308,
        1.8506813049316406,
        1.862139344215393,
        1.867344856262207,
        1.8922897577285767,
        1.9120783805847168,
        1.934308409690857,
        1.9539484977722168,
        1.963274598121643,
        1.9788694381713867,
        1.9957555532455444,
        2.014335870742798,
        2.0214884281158447,
        2.029796600341797,
        2.0370547771453857,
        2.0468201637268066,
        2.0457592010498047,
        2.0515854358673096,
        2.050713539123535,
        2.0564005374908447,
        2.0571272373199463,
        2.056572437286377,
        2.054002285003662,
        2.062981128692627,
        2.0643997192382812,
        2.066274404525757,
        2.0644302368164062,
        2.068706750869751,
        2.0704915523529053,
        2.072033643722534,
        2.0720040798187256,
        2.0737802982330322,
        2.072735071182251,
        2.0727603435516357,
        2.0734808444976807,
        2.0752689838409424,
        2.0756847858428955,
        2.0752789974212646,
        2.075941562652588,
        2.0761730670928955,
        2.076894521713257,
        2.077177047729492,
        2.0779271125793457,
        2.074807643890381,
        2.0732736587524414,
        2.0739786624908447,
        2.0749471187591553,
        2.074894666671753,
        2.0745208263397217,
        2.0777041912078857,
        2.0773074626922607,
        2.0778443813323975,
        2.0785157680511475,
        2.079633951187134,
        2.0787718296051025,
        2.078428030014038,
        2.076617956161499,
        2.077796220779419,
        2.077455520629883,
        2.0775187015533447,
        2.0752618312835693,
        2.074843645095825,
        2.074134349822998,
        2.076663017272949,
        2.0767714977264404,
        2.075958728790283,
        2.0752460956573486,
        2.076054811477661,
        2.0772016048431396,
        2.0776023864746094,
        2.0781800746917725,
        2.071848154067993,
        2.071179151535034,
        2.0757148265838623,
        2.0751349925994873,
        2.072859525680542,
        2.0760045051574707,
        2.0727062225341797,
        2.0736424922943115,
        2.073610544204712,
        2.0724053382873535,
        2.0726141929626465,
        2.0714707374572754,
        2.0705127716064453,
        2.0713024139404297,
        2.0703177452087402,
        2.0717036724090576,
        2.0678606033325195,
        2.067744016647339,
        2.0678255558013916,
        2.0693047046661377,
        2.0679335594177246,
        2.068431854248047,
        2.069161891937256,
        2.0682756900787354,
        2.0663864612579346,
        2.0685322284698486,
        2.0681092739105225,
        2.068368673324585,
        2.069984197616577,
        2.0694470405578613,
        2.0673253536224365,
        2.0692460536956787,
        2.069301128387451,
        2.066938638687134,
        2.066678047180176,
        2.067883014678955,
        2.071058988571167,
        2.0707976818084717,
        2.0705738067626953,
        2.070396661758423,
        2.0688211917877197,
        2.0703046321868896,
        2.070237874984741,
        2.07035756111145,
        2.071861982345581,
        2.071161985397339,
        2.070223569869995,
        2.068890333175659,
        2.069589376449585,
        2.069829225540161,
        2.0692036151885986,
        2.0685131549835205,
        2.07051944732666,
        2.0674495697021484,
        2.065594434738159,
        2.062936544418335,
        2.065978765487671,
        2.0639665126800537,
        2.0667223930358887,
        2.069401502609253,
        2.063418388366699,
        2.0617897510528564,
        2.0610387325286865,
        2.058818817138672,
        2.0638935565948486,
        2.0623114109039307,
        2.0519821643829346,
        2.052708625793457,
        2.051556348800659,
        2.054847002029419,
        2.0436081886291504,
        2.0418508052825928,
        2.034183979034424,
        2.0294442176818848,
        2.0141124725341797,
        2.003462791442871,
        1.9810781478881836,
        1.9713670015335083,
        1.9236429929733276,
        1.9226692914962769,
        1.8925150632858276,
        1.8654509782791138,
        1.8630551099777222,
        1.848076343536377,
        1.8373361825942993,
        1.8216267824172974,
        1.8084887266159058,
        1.796460747718811,
        1.7910507917404175,
        1.7742748260498047,
        1.7716723680496216,
        1.7564821243286133,
        1.7508481740951538,
        1.733639121055603,
        1.721545696258545,
        1.7068942785263062,
        1.6980892419815063,
        1.6756912469863892,
        1.670655608177185,
        1.650808334350586,
        1.647324562072754,
        1.6330294609069824,
        1.6288801431655884,
        1.6193488836288452,
        1.6236025094985962,
        1.6207751035690308,
        1.627250075340271,
        1.629213809967041,
        1.6361950635910034,
        1.643681526184082,
        1.6553558111190796,
        1.6497106552124023,
        1.6534147262573242,
        1.659608244895935,
        1.7626385688781738,
        1.8916863203048706,
        1.9296518564224243,
        1.993108868598938,
        1.9912375211715698,
        1.7505842447280884,
        1.8722227811813354,
        2.020833730697632,
        2.013326406478882,
        2.0983927249908447,
        2.1304290294647217,
        2.147876501083374,
        2.1479861736297607,
        2.1480283737182617,
        2.1486668586730957,
        2.147890090942383,
        2.147761106491089,
        2.1486165523529053,
        2.148432970046997,
        2.14691424369812,
        2.14786696434021,
        2.148214101791382,
        2.1487104892730713,
        2.1483747959136963,
        2.1493942737579346,
        2.148554801940918,
        2.1481969356536865,
        2.1484498977661133,
        2.1484861373901367,
        2.148778200149536,
        2.146944284439087,
        2.1479318141937256,
        2.147921323776245,
        2.148221492767334,
        2.147477388381958,
        2.1486940383911133,
        2.147895097732544,
        2.1476070880889893,
        2.1471705436706543,
        2.1490118503570557,
        2.14864444732666,
        2.14878249168396,
        2.1485490798950195,
        2.148486614227295,
        2.1486034393310547,
        2.1494197845458984,
        2.1476705074310303,
        2.1488189697265625,
        2.1486403942108154,
        2.147643804550171,
        2.148505449295044,
        2.1474525928497314,
        2.14935302734375,
        2.1493442058563232,
        2.148465871810913,
        2.148557662963867,
        2.147782564163208,
        2.145576238632202,
        2.145907402038574,
        2.1439926624298096,
        2.141845464706421,
        2.1523733139038086,
        2.1533968448638916,
        2.1565945148468018,
        2.1033689975738525,
        2.0580556392669678,
        2.0673367977142334,
        2.0234010219573975,
        2.0629148483276367,
        2.067901849746704,
        2.0635948181152344,
        2.053154945373535,
        2.0478017330169678,
        2.0321156978607178,
        1.9790862798690796,
        1.9388211965560913,
        1.925338864326477,
        1.904654860496521,
        1.834297776222229,
        1.8060094118118286,
        1.7929635047912598,
        1.769887924194336,
        1.7560681104660034,
        1.7420462369918823,
        1.7389990091323853,
        1.7250398397445679,
        1.7288875579833984,
        1.7221368551254272,
        1.7297515869140625,
        1.7301427125930786,
        1.7306925058364868,
        1.734702706336975,
        1.7405771017074585,
        1.7311996221542358,
        1.7364448308944702,
        1.7333940267562866,
        1.7333645820617676,
        1.7375497817993164,
        1.749751091003418,
        1.7518666982650757,
        1.780553936958313,
        1.8079177141189575,
        1.825163722038269,
        1.8931446075439453,
        1.9128189086914062,
        1.9151349067687988,
        1.939399242401123,
        1.959211826324463,
        1.9669002294540405,
        1.9811662435531616,
        1.9940481185913086,
        2.006497621536255,
        1.9988454580307007,
        2.00024151802063,
        2.007431983947754,
        2.0119779109954834,
        2.0182721614837646,
        2.0286266803741455,
        2.0348103046417236,
        2.0402581691741943,
        2.044877290725708,
        2.0499722957611084,
        2.0565073490142822,
        2.059969186782837,
        2.060760259628296,
        2.0639708042144775,
        2.0683364868164062,
        2.0656931400299072,
        2.0700628757476807,
        2.072277784347534,
        2.073725461959839,
        2.0768051147460938,
        2.0733695030212402,
        2.0786924362182617,
        2.0789148807525635,
        2.0762693881988525,
        2.074965715408325,
        2.0788662433624268,
        2.0743210315704346,
        2.0763168334960938,
        2.076528787612915,
        2.077319860458374,
        2.077984094619751,
        2.0767502784729004,
        2.0764694213867188,
        2.077180862426758,
        2.0759756565093994,
        2.0781028270721436,
        2.0765163898468018,
        2.0773494243621826,
        2.0824220180511475,
        2.0808732509613037,
        2.082019090652466,
        2.0831940174102783,
        2.0830564498901367,
        2.0818469524383545,
        2.080430746078491,
        2.0821855068206787,
        2.084080934524536,
        2.0830624103546143,
        2.0825002193450928,
        2.0831458568573,
        2.082892656326294,
        2.0819015502929688,
        2.0833566188812256,
        2.0825934410095215,
        2.082890272140503,
        2.0826103687286377,
        2.083164691925049,
        2.0826961994171143,
        2.081641674041748,
        2.0816450119018555,
        2.0826690196990967,
        2.080505609512329,
        2.0807037353515625,
        2.081648588180542,
        2.0817220211029053,
        2.0806772708892822,
        2.080106019973755,
        2.079293727874756,
        2.078920602798462,
        2.081652879714966,
        2.0802595615386963,
        2.079918146133423,
        2.0812041759490967,
        2.0797669887542725,
        2.081587791442871,
        2.078674554824829,
        2.0776050090789795,
        2.078892469406128,
        2.077685832977295,
        2.080240249633789,
        2.0822625160217285,
        2.079423189163208,
        2.08092999458313,
        2.0802621841430664,
        2.080775260925293,
        2.0792300701141357,
        2.079908609390259,
        2.080052614212036,
        2.0801894664764404,
        2.0806350708007812,
        2.080874443054199,
        2.0807254314422607,
        2.081038236618042,
        2.0815584659576416,
        2.0818686485290527,
        2.080509901046753,
        2.080995798110962,
        2.0811121463775635,
        2.0810441970825195,
        2.079641580581665,
        2.0800085067749023,
        2.080559015274048,
        2.081216335296631,
        2.0799665451049805,
        2.0790212154388428,
        2.08024001121521,
        2.079160451889038,
        2.0809519290924072,
        2.0801000595092773,
        2.079977035522461,
        2.07938814163208,
        2.078568696975708,
        2.0792348384857178,
        2.079511880874634,
        2.080007314682007,
        2.078287124633789,
        2.0778942108154297,
        2.0786421298980713,
        2.0770139694213867,
        2.078059196472168,
        2.080112934112549,
        2.077686071395874,
        2.078091859817505,
        2.077503204345703,
        2.0767009258270264,
        2.078798532485962,
        2.079472303390503,
        2.079252243041992,
        2.0794827938079834,
        2.0781877040863037,
        2.0780296325683594,
        2.0764830112457275,
        2.0774691104888916,
        2.078040361404419,
        2.0779995918273926,
        2.078277349472046,
        2.0778861045837402,
        2.078234910964966,
        2.077131509780884,
        2.077653169631958,
        2.0775864124298096,
        2.0765416622161865,
        2.077361822128296,
        2.0791871547698975,
        2.0774435997009277,
        2.0773651599884033,
        2.0778541564941406,
        2.0780153274536133,
        2.078063726425171,
        2.076371908187866,
        2.07908034324646,
        2.0765445232391357,
        2.075495481491089,
        2.076166868209839,
        2.0730297565460205,
        2.074127674102783,
        2.0731773376464844,
        2.074596643447876,
        2.0735931396484375,
        2.0747177600860596,
        2.075186014175415,
        2.0753636360168457,
        2.0696380138397217,
        2.064350128173828,
        2.0658786296844482,
        2.062645673751831,
        2.059792995452881,
        2.0611956119537354,
        2.061047315597534,
        2.0604500770568848,
        2.060386896133423,
        2.055170774459839,
        2.051865339279175,
        2.054445266723633,
        2.0524566173553467,
        2.05047345161438,
        2.042386770248413,
        2.0522069931030273,
        2.0454986095428467,
        2.0397870540618896,
        2.027292013168335,
        2.0176260471343994,
        1.9982811212539673,
        1.9846235513687134,
        1.9708350896835327,
        1.9706530570983887,
        1.9528136253356934,
        1.943974494934082,
        1.9257335662841797,
        1.9057106971740723,
        1.8989366292953491,
        1.8650990724563599,
        1.837384819984436,
        1.8324517011642456,
        1.8073424100875854,
        1.7746843099594116,
        1.7545315027236938,
        1.714908480644226,
        1.6801444292068481,
        1.6552687883377075,
        1.6264334917068481,
        1.6141430139541626,
        1.5909453630447388,
        1.5926769971847534,
        1.592844009399414,
        1.5941343307495117,
        1.585642695426941,
        1.5973466634750366,
        1.5975399017333984,
        1.6055216789245605,
        1.6320337057113647,
        1.6490325927734375,
        1.6666592359542847,
        1.685713291168213,
        1.699612021446228,
        1.7200130224227905,
        1.7341169118881226,
        1.7691208124160767,
        1.8085209131240845,
        1.9071844816207886,
        2.1096346378326416,
        2.1441543102264404,
        2.1420738697052,
        2.1483004093170166,
        2.149341106414795,
        2.1477460861206055,
        2.1480870246887207,
        2.1481800079345703,
        2.1472625732421875,
        2.1486527919769287,
        2.1498258113861084,
        2.1489741802215576,
        2.1492960453033447,
        2.149837017059326,
        2.1500957012176514,
        2.1495041847229004,
        2.14961314201355,
        2.1495535373687744,
        2.149463176727295,
        2.149289846420288,
        2.148526906967163,
        2.1489956378936768,
        2.1491498947143555,
        2.1495308876037598,
        2.150141477584839,
        2.149599552154541,
        2.149754524230957,
        2.149700403213501,
        2.1501553058624268,
        2.1502060890197754,
        2.150160312652588,
        2.149993896484375,
        2.1502506732940674,
        2.1503379344940186,
        2.1500890254974365,
        2.1499216556549072,
        2.1496121883392334,
        2.149848222732544,
        2.1502463817596436,
        2.1504600048065186,
        2.149827718734741,
        2.1496217250823975,
        2.1506330966949463,
        2.1501922607421875,
        2.149649143218994,
        2.1510915756225586,
        2.1510798931121826,
        2.1504063606262207,
        2.1505792140960693,
        2.150721788406372,
        2.1507668495178223,
        2.1501364707946777,
        2.150585174560547,
        2.151099920272827,
        2.1509201526641846,
        2.149958610534668,
        2.151475191116333,
        2.1507978439331055,
        2.149895429611206,
        2.149190664291382,
        2.148153066635132,
        2.1493430137634277,
        2.1488420963287354,
        2.1485273838043213,
        2.1467885971069336,
        2.1471149921417236,
        2.146566867828369,
        2.1495540142059326,
        2.1520538330078125,
        2.154130220413208,
        2.151202440261841,
        2.1487021446228027,
        2.027783155441284,
        1.9376124143600464,
        1.9255696535110474,
        1.9625831842422485,
        2.0313827991485596,
        2.0192291736602783,
        1.9924923181533813,
        2.0396339893341064,
        2.040797233581543,
        2.016007661819458,
        1.9911164045333862,
        1.9671741724014282,
        1.9583157300949097,
        1.9541791677474976,
        1.8749817609786987,
        1.8346492052078247,
        1.8299856185913086,
        1.8215914964675903,
        1.835351824760437,
        1.8235793113708496,
        1.830945372581482,
        1.8243637084960938,
        1.8180204629898071,
        1.8040337562561035,
        1.8072139024734497,
        1.8085565567016602,
        1.8073320388793945,
        1.7952862977981567,
        1.788954734802246,
        1.7923469543457031,
        1.8107105493545532,
        1.826075553894043,
        1.834327220916748,
        1.864371418952942,
        1.9066640138626099,
        1.938667893409729,
        1.9503787755966187,
        1.96041738986969,
        1.9886780977249146,
        1.9890254735946655,
        2.002434730529785,
        2.0180985927581787,
        2.020437002182007,
        2.014491558074951,
        2.0217444896698,
        2.0232183933258057,
        2.0275275707244873,
        2.04046630859375,
        2.0452775955200195,
        2.04968523979187,
        2.0565648078918457,
        2.0662477016448975,
        2.0663938522338867,
        2.063876152038574,
        2.0666096210479736,
        2.0611412525177,
        2.0637006759643555,
        2.06583571434021,
        2.0664236545562744,
        2.0680596828460693,
        2.069704055786133,
        2.067551612854004,
        2.069169759750366,
        2.0761172771453857,
        2.076833486557007,
        2.0785233974456787,
        2.0792598724365234,
        2.078994035720825,
        2.079941511154175,
        2.079899311065674,
        2.080132246017456,
        2.0808422565460205,
        2.079277276992798,
        2.079383134841919,
        2.0801842212677,
        2.0801918506622314,
        2.080137014389038,
        2.079906463623047,
        2.080784559249878,
        2.082120180130005,
        2.081150770187378,
        2.083760976791382,
        2.082789659500122,
        2.0829854011535645,
        2.0823593139648438,
        2.0840823650360107,
        2.082266092300415,
        2.0833160877227783,
        2.0838663578033447,
        2.083120346069336,
        2.081061601638794,
        2.0828824043273926,
        2.0818521976470947,
        2.0820186138153076,
        2.0828423500061035,
        2.0825717449188232,
        2.082143545150757,
        2.083857297897339,
        2.083669424057007,
        2.0843312740325928,
        2.0848593711853027,
        2.0840108394622803,
        2.0835182666778564,
        2.084620714187622,
        2.0833516120910645,
        2.0849239826202393,
        2.082176923751831,
        2.0826914310455322,
        2.0832793712615967,
        2.083883285522461,
        2.084303617477417,
        2.0841405391693115,
        2.083855390548706,
        2.083122968673706,
        2.0821752548217773,
        2.0829615592956543,
        2.0826122760772705,
        2.0835561752319336,
        2.0853631496429443,
        2.086263418197632,
        2.083538055419922,
        2.0815844535827637,
        2.0831139087677,
        2.082991361618042,
        2.0828263759613037,
        2.0841102600097656,
        2.084210157394409,
        2.0838911533355713,
        2.08339524269104,
        2.082878351211548,
        2.083218574523926,
        2.083216428756714,
        2.0845768451690674,
        2.0859479904174805,
        2.083784580230713,
        2.083923816680908,
        2.084737539291382,
        2.084216594696045,
        2.0849316120147705,
        2.0868239402770996,
        2.0850627422332764,
        2.086235761642456,
        2.0843710899353027,
        2.084576368331909,
        2.084308385848999,
        2.08280873298645,
        2.085031032562256,
        2.0841057300567627,
        2.0832338333129883,
        2.0829341411590576,
        2.0834038257598877,
        2.0839521884918213,
        2.0828449726104736,
        2.083613634109497,
        2.084613084793091,
        2.084233045578003,
        2.0821378231048584,
        2.0826289653778076,
        2.084480047225952,
        2.0851669311523438,
        2.085143804550171,
        2.0854105949401855,
        2.0830538272857666,
        2.0815868377685547,
        2.082566261291504,
        2.0835459232330322,
        2.083421230316162,
        2.0850939750671387,
        2.0848677158355713,
        2.0862820148468018,
        2.085226535797119,
        2.0839507579803467,
        2.085963726043701,
        2.086080551147461,
        2.0869271755218506,
        2.086656332015991,
        2.08508038520813,
        2.0831429958343506,
        2.078463554382324,
        2.0721418857574463,
        2.0712082386016846,
        2.069908618927002,
        2.0635077953338623,
        2.0693724155426025,
        2.0610692501068115,
        2.0588161945343018,
        2.058354616165161,
        2.061298131942749,
        2.0587470531463623,
        2.0562193393707275,
        2.0532748699188232,
        2.050652265548706,
        2.0437564849853516,
        2.057025909423828,
        2.057130813598633,
        2.05320143699646,
        2.0407395362854004,
        2.0284383296966553,
        2.0160443782806396,
        2.0024290084838867,
        1.9958038330078125,
        1.983845829963684,
        1.9569101333618164,
        1.9433951377868652,
        1.9463392496109009,
        1.9235323667526245,
        1.924725890159607,
        1.9119890928268433,
        1.8884916305541992,
        1.8684277534484863,
        1.8419743776321411,
        1.8299330472946167,
        1.8156019449234009,
        1.778084635734558,
        1.7455686330795288,
        1.7286077737808228,
        1.7057560682296753,
        1.6944175958633423,
        1.674303650856018,
        1.6677227020263672,
        1.6556395292282104,
        1.6572693586349487,
        1.652408242225647,
        1.6573023796081543,
        1.6587506532669067,
        1.6657052040100098,
        1.6692155599594116,
        1.682237148284912,
        1.6886440515518188,
        1.6981583833694458,
        1.7047067880630493,
        1.7175761461257935,
        1.7285923957824707,
        1.7449126243591309,
        1.7513004541397095,
        1.7628482580184937,
        1.7850219011306763,
        1.9715571403503418,
        2.058166980743408,
        2.083897352218628,
        2.0900237560272217,
        2.090805768966675,
        2.1079261302948,
        2.1123557090759277,
        2.1130716800689697,
        2.1099908351898193,
        2.133495569229126,
        2.1401853561401367,
        2.1499345302581787,
        2.150675058364868,
        2.149677038192749,
        2.1493866443634033,
        2.1489293575286865,
        2.148777723312378,
        2.147325277328491,
        2.1484272480010986,
        2.1491353511810303,
        2.148791790008545,
        2.149292230606079,
        2.1495373249053955,
        2.1497180461883545,
        2.1502859592437744,
        2.1501519680023193,
        2.1485979557037354,
        2.148362636566162,
        2.147310733795166,
        2.147096872329712,
        2.1488542556762695,
        2.14963436126709,
        2.1489369869232178,
        2.1490797996520996,
        2.149052858352661,
        2.149970531463623,
        2.1500117778778076,
        2.1510045528411865,
        2.1506500244140625,
        2.1512203216552734,
        2.151683807373047,
        2.151355028152466,
        2.149352788925171,
        2.1490375995635986,
        2.1501047611236572,
        2.1492321491241455,
        2.147756814956665,
        2.1458241939544678,
        2.145871877670288,
        2.148059844970703,
        2.149449110031128,
        2.1504311561584473,
        2.148754835128784,
        2.1460483074188232,
        2.145035982131958,
        2.1453304290771484,
        2.1457388401031494,
        2.1462080478668213,
        2.1468849182128906,
        2.145212173461914,
        2.1471612453460693,
        2.14827036857605,
        2.147355794906616,
        2.1470725536346436,
        2.148732900619507,
        2.148320436477661,
        2.1475517749786377,
        2.149061679840088,
        2.1351158618927,
        2.135789632797241,
        2.1259522438049316,
        2.1364150047302246,
        2.1389036178588867,
        2.0644547939300537,
        2.0034706592559814,
        1.996267318725586,
        1.9313443899154663,
        1.9749068021774292,
        1.9523826837539673,
        1.9239429235458374,
        1.8863497972488403,
        1.867376685142517,
        1.8373273611068726,
        1.811226725578308,
        1.7962437868118286,
        1.7824491262435913,
        1.7762627601623535,
        1.764014720916748,
        1.7477387189865112,
        1.757678508758545,
        1.7481240034103394,
        1.7536500692367554,
        1.7543681859970093,
        1.753719687461853,
        1.7512730360031128,
        1.748925805091858,
        1.7468382120132446,
        1.761444091796875,
        1.7889844179153442,
        1.8134359121322632,
        1.7976999282836914,
        1.8684879541397095,
        1.9142221212387085,
        1.9347114562988281,
        1.9648853540420532,
        1.9841651916503906,
        1.9962592124938965,
        1.9885746240615845,
        1.999022126197815,
        2.0019829273223877,
        2.0040652751922607,
        2.004329204559326,
        2.0137999057769775,
        2.0195188522338867,
        2.022538185119629,
        2.0308942794799805,
        2.0286107063293457,
        2.036576509475708,
        2.0447583198547363,
        2.05053448677063,
        2.0554943084716797,
        2.061511754989624,
        2.0669503211975098,
        2.066664457321167,
        2.0706498622894287,
        2.0711288452148438,
        2.0744566917419434,
        2.0771193504333496,
        2.075545310974121,
        2.0788280963897705,
        2.0853054523468018,
        2.084962844848633,
        2.087285041809082,
        2.089315414428711,
        2.0855181217193604,
        2.0851402282714844,
        2.087890863418579,
        2.089669942855835,
        2.0891661643981934,
        2.0891523361206055,
        2.0910089015960693,
        2.0909736156463623,
        2.091409206390381,
        2.093381881713867,
        2.094548463821411,
        2.0915558338165283,
        2.0916292667388916,
        2.092024803161621,
        2.091186046600342,
        2.0928335189819336,
        2.091578722000122,
        2.0912630558013916,
        2.0904266834259033,
        2.0907976627349854,
        2.091763496398926,
        2.0911171436309814,
        2.092210054397583,
        2.091989278793335,
        2.091850519180298,
        2.092686891555786,
        2.092670202255249,
        2.090385675430298,
        2.0928428173065186,
        2.0908453464508057,
        2.0915634632110596,
        2.091775894165039,
        2.0905754566192627,
        2.0910093784332275,
        2.090470552444458,
        2.0898289680480957,
        2.0902318954467773,
        2.089898109436035,
        2.089944839477539,
        2.089247941970825,
        2.0891265869140625,
        2.0898711681365967,
        2.0898571014404297,
        2.089888572692871,
        2.0893430709838867,
        2.089782953262329,
        2.0884246826171875,
        2.0890369415283203,
        2.088852882385254,
        2.08807110786438,
        2.088451862335205,
        2.089202880859375,
        2.0889627933502197,
        2.089297294616699,
        2.090555191040039,
        2.0913026332855225,
        2.0905354022979736,
        2.089409351348877,
        2.0889618396759033,
        2.0892081260681152,
        2.0871286392211914,
        2.0877437591552734,
        2.0859668254852295,
        2.085904359817505,
        2.086294412612915,
        2.0839715003967285,
        2.0828723907470703,
        2.0820071697235107,
        2.084822416305542,
        2.083902359008789,
        2.08451247215271,
        2.084221601486206,
        2.0841972827911377,
        2.085456609725952,
        2.0878264904022217,
        2.0880744457244873,
        2.0878424644470215,
        2.086040496826172,
        2.084700107574463,
        2.084176778793335,
        2.0822479724884033,
        2.0817983150482178,
        2.0816047191619873,
        2.0812501907348633,
        2.081705093383789,
        2.0839884281158447,
        2.0847723484039307,
        2.0850634574890137,
        2.0848562717437744,
        2.0831356048583984,
        2.0856707096099854,
        2.0827553272247314,
        2.085745334625244,
        2.083726644515991,
        2.084580183029175,
        2.0831594467163086,
        2.0851712226867676,
        2.0832011699676514,
        2.0853941440582275,
        2.0837395191192627,
        2.083176374435425,
        2.0828299522399902,
        2.0819108486175537,
        2.082775831222534,
        2.0819997787475586,
        2.081289052963257,
        2.0822179317474365,
        2.083730459213257,
        2.0819509029388428,
        2.082848310470581,
        2.0823352336883545,
        2.0823938846588135,
        2.081979274749756,
        2.0806996822357178,
        2.0818607807159424,
        2.0825986862182617,
        2.081536054611206,
        2.083284616470337,
        2.0829174518585205,
        2.0870957374572754,
        2.0900700092315674,
        2.084214925765991,
        2.082145929336548,
        2.080118417739868,
        2.079862356185913,
        2.0785672664642334,
        2.078589916229248,
        2.0794503688812256,
        2.0835671424865723,
        2.0796396732330322,
        2.079449415206909,
        2.0789551734924316,
        2.0748372077941895,
        2.0671119689941406,
        2.0666069984436035,
        2.0596656799316406,
        2.0610077381134033,
        2.0669472217559814,
        2.062497854232788,
        2.053851366043091,
        2.051107406616211,
        2.047314405441284,
        2.0524747371673584,
        2.0473203659057617,
        2.040505886077881,
        2.0406761169433594,
        2.041069746017456,
        2.0322043895721436,
        2.0321238040924072,
        2.031471014022827,
        2.022709608078003,
        2.012110948562622,
        2.007115602493286,
        1.9960031509399414,
        1.9854979515075684,
        1.9712915420532227,
        1.9591931104660034,
        1.9395337104797363,
        1.9269579648971558,
        1.9217619895935059,
        1.9071249961853027,
        1.8972522020339966,
        1.8865495920181274,
        1.8648895025253296,
        1.8229330778121948,
        1.733801245689392,
        1.7232880592346191,
        1.7250652313232422,
        1.687817931175232,
        1.6100387573242188,
        1.592119812965393,
        1.5930954217910767,
        1.558262825012207,
        1.5356359481811523,
        1.5038102865219116,
        1.505332350730896,
        1.482975959777832,
        1.4770523309707642,
        1.4662669897079468,
        1.465336799621582,
        1.450943946838379,
        1.4507383108139038,
        1.4449162483215332,
        1.4717397689819336,
        1.4971176385879517,
        1.5203886032104492,
        1.5478371381759644,
        1.575833797454834,
        1.6236780881881714,
        1.6794356107711792,
        1.7720879316329956,
        1.911874771118164,
        1.9925618171691895,
        2.014296770095825,
        2.0115809440612793,
        2.028162717819214,
        2.0198566913604736,
        2.0328288078308105,
        2.028276205062866,
        1.9408665895462036,
        1.8839411735534668,
        1.9801267385482788,
        2.056157112121582,
        2.1006686687469482,
        2.150101661682129,
        2.149523973464966,
        2.1498661041259766,
        2.1494123935699463,
        2.150127649307251,
        2.1492273807525635,
        2.150460958480835,
        2.1497247219085693,
        2.149822235107422,
        2.1495044231414795,
        2.149916887283325,
        2.1494193077087402,
        2.1499714851379395,
        2.1494786739349365,
        2.149759531021118,
        2.149818181991577,
        2.1496469974517822,
        2.1488301753997803,
        2.149531602859497,
        2.148545980453491,
        2.1494626998901367,
        2.1496100425720215,
        2.149794340133667,
        2.1497411727905273,
        2.149930715560913,
        2.14925479888916,
        2.1503055095672607,
        2.148534059524536,
        2.1501190662384033,
        2.1487200260162354,
        2.1494600772857666,
        2.1504902839660645,
        2.14924693107605,
        2.148651123046875,
        2.1497910022735596,
        2.1484813690185547,
        2.1488661766052246,
        2.1506173610687256,
        2.151710271835327,
        2.1519224643707275,
        2.1504504680633545,
        2.151205539703369,
        2.1516549587249756,
        2.1527817249298096,
        2.1502692699432373,
        2.147730588912964,
        2.1489574909210205,
        2.1502668857574463,
        2.148447275161743,
        2.148420572280884,
        2.149099349975586,
        2.152252197265625,
        2.156158685684204,
        2.155412435531616,
        2.0603325366973877,
        2.0449044704437256,
        2.072979211807251,
        2.0642611980438232,
        2.075434923171997,
        2.0825400352478027,
        2.0708680152893066,
        2.0530569553375244,
        2.047778844833374,
        2.0216095447540283,
        2.0061371326446533,
        1.9952095746994019,
        1.95778226852417,
        1.9125638008117676,
        1.8918083906173706,
        1.8557487726211548,
        1.8292800188064575,
        1.8104591369628906,
        1.8101778030395508,
        1.8009098768234253,
        1.7866235971450806,
        1.781119704246521,
        1.771102786064148,
        1.7646623849868774,
        1.7640000581741333,
        1.7689698934555054,
        1.7751051187515259,
        1.7852444648742676,
        1.8130998611450195,
        1.843129277229309,
        1.8598476648330688,
        1.8683921098709106,
        1.8944191932678223,
        1.9178935289382935,
        1.939310073852539,
        1.9592262506484985,
        1.9753795862197876,
        1.9904028177261353,
        2.0016160011291504,
        2.0071072578430176,
        2.0110015869140625,
        2.0240871906280518,
        2.0337536334991455,
        2.0367462635040283,
        2.0404834747314453,
        2.0458226203918457,
        2.0510199069976807,
        2.0566909313201904,
        2.06880784034729,
        2.072244882583618,
        2.074159860610962,
        2.076780080795288,
        2.0737478733062744,
        2.0807888507843018,
        2.0788521766662598,
        2.079258680343628,
        2.0783541202545166,
        2.07952880859375,
        2.0798556804656982,
        2.079638719558716,
        2.0744235515594482,
        2.075578212738037,
        2.078758478164673,
        2.0784895420074463,
        2.0791449546813965,
        2.07999587059021,
        2.074420690536499,
        2.075359582901001,
        2.074530839920044,
        2.0796892642974854,
        2.0796079635620117,
        2.0820257663726807,
        2.0800347328186035,
        2.08162784576416,
        2.0815253257751465,
        2.081071138381958,
        2.0805137157440186,
        2.0817878246307373,
        2.082444190979004,
        2.0823872089385986,
        2.0820505619049072,
        2.0814507007598877,
        2.084027051925659,
        2.0830636024475098,
        2.0840253829956055,
        2.08491849899292,
        2.084608316421509,
        2.083120584487915,
        2.083273410797119,
        2.084312915802002,
        2.0844151973724365,
        2.0844714641571045,
        2.0852138996124268,
        2.085639238357544,
        2.0857996940612793,
        2.0844662189483643,
        2.0851027965545654,
        2.0862810611724854,
        2.086153745651245,
        2.0853564739227295,
        2.0859363079071045,
        2.086256504058838,
        2.087181806564331,
        2.0875680446624756,
        2.086107015609741,
        2.085456609725952,
        2.0853893756866455,
        2.085864305496216,
        2.0873522758483887,
        2.086116075515747,
        2.086320400238037,
        2.087287664413452,
        2.085466146469116,
        2.086461305618286,
        2.0861260890960693,
        2.0834715366363525,
        2.0824973583221436,
        2.083545446395874,
        2.08430814743042,
        2.083364248275757,
        2.083115577697754,
        2.0849790573120117,
        2.084630250930786,
        2.08369779586792,
        2.0827527046203613,
        2.0823497772216797,
        2.0853989124298096,
        2.083024740219116,
        2.0852954387664795,
        2.0843217372894287,
        2.084728479385376,
        2.0846750736236572,
        2.0849993228912354,
        2.0833775997161865,
        2.082361936569214,
        2.082319974899292,
        2.08127760887146,
        2.083507537841797,
        2.08215594291687,
        2.0802066326141357,
        2.080580472946167,
        2.0801990032196045,
        2.080247163772583,
        2.0837161540985107,
        2.0804243087768555,
        2.081071615219116,
        2.083430528640747,
        2.0824034214019775,
        2.083836555480957,
        2.086103677749634,
        2.0856521129608154,
        2.0860955715179443,
        2.0861971378326416,
        2.086768865585327,
        2.088557004928589,
        2.085421085357666,
        2.0871331691741943,
        2.0827689170837402,
        2.0834193229675293,
        2.0885021686553955,
        2.0834991931915283,
        2.080714225769043,
        2.0779569149017334,
        2.076687812805176,
        2.075505256652832,
        2.0655572414398193,
        2.065086841583252,
        2.067864179611206,
        2.0642588138580322,
        2.0616908073425293,
        2.0569705963134766,
        2.0553629398345947,
        2.0530192852020264,
        2.056931257247925,
        2.0474274158477783,
        2.0382578372955322,
        2.037118673324585,
        2.026855707168579,
        2.0194249153137207,
        2.0033724308013916,
        1.9907747507095337,
        1.9825018644332886,
        1.9804424047470093,
        1.9631675481796265,
        1.9425002336502075,
        1.9150285720825195,
        1.9133028984069824,
        1.8661738634109497,
        1.8705977201461792,
        1.8621479272842407,
        1.8304325342178345,
        1.8046094179153442,
        1.7728891372680664,
        1.7496600151062012,
        1.7314157485961914,
        1.6922860145568848,
        1.6683006286621094,
        1.6543272733688354,
        1.6318713426589966,
        1.6251662969589233,
        1.6114915609359741,
        1.6133595705032349,
        1.6160920858383179,
        1.6226228475570679,
        1.6423649787902832,
        1.648349404335022,
        1.6452535390853882,
        1.6536221504211426,
        1.660131812095642,
        1.676007628440857,
        1.6865801811218262,
        1.7164541482925415,
        1.7341394424438477,
        1.7609981298446655,
        1.7732585668563843,
        1.986246109008789,
        2.080770492553711,
        2.1396970748901367,
        2.1510086059570312,
        2.1511425971984863,
        2.1502132415771484,
        2.1504809856414795,
        2.1497905254364014,
        2.149890661239624,
        2.1497888565063477,
        2.1492292881011963,
        2.1491010189056396,
        2.14921236038208,
        2.1497981548309326,
        2.150614023208618,
        2.1511237621307373,
        2.1506826877593994,
        2.149768590927124,
        2.150989532470703,
        2.151665687561035,
        2.151245594024658,
        2.1515090465545654,
        2.151503562927246,
        2.152259111404419,
        2.151634931564331,
        2.147643566131592,
        2.1470561027526855,
        2.1474921703338623,
        2.1476800441741943,
        2.14780855178833,
        2.1481001377105713,
        2.1473662853240967,
        2.1501309871673584,
        2.149993419647217,
        2.148391008377075,
        2.148974657058716,
        2.1466567516326904,
        2.1470019817352295,
        2.1474409103393555,
        2.1456196308135986,
        2.1467173099517822,
        2.1471145153045654,
        2.1479220390319824,
        2.1480190753936768,
        2.1469357013702393,
        2.1462690830230713,
        2.1460304260253906,
        2.1476433277130127,
        2.1470773220062256,
        2.1485116481781006,
        2.1475088596343994,
        2.1467087268829346,
        2.147101640701294,
        2.147395610809326,
        2.145413637161255,
        2.1465260982513428,
        2.145961046218872,
        2.145646095275879,
        2.146430492401123,
        2.1464555263519287,
        2.1458630561828613,
        2.1464712619781494,
        2.1462514400482178,
        2.1476361751556396,
        2.1470160484313965,
        2.1465225219726562,
        2.1484153270721436,
        2.1474454402923584,
        2.1469533443450928,
        2.1459603309631348,
        2.146909475326538,
        2.1147778034210205,
        2.1109907627105713,
        2.0742294788360596,
        2.0362932682037354,
        1.992632269859314,
        1.9849791526794434,
        2.000901937484741,
        1.991329550743103,
        1.9735326766967773,
        1.9717148542404175,
        1.932329535484314,
        1.8949127197265625,
        1.8657169342041016,
        1.8725522756576538,
        1.829153060913086,
        1.7839561700820923,
        1.774697184562683,
        1.7507776021957397,
        1.738268494606018,
        1.736643671989441,
        1.740637183189392,
        1.7402024269104004,
        1.7441116571426392,
        1.7495590448379517,
        1.7639049291610718,
        1.7687329053878784,
        1.7781769037246704,
        1.7804179191589355,
        1.7966874837875366,
        1.81153404712677,
        1.8158178329467773,
        1.8211826086044312,
        1.828719139099121,
        1.8465474843978882,
        1.855322003364563,
        1.8658007383346558,
        1.8731493949890137,
        1.8784297704696655,
        1.8883484601974487,
        1.8905314207077026,
        1.8938723802566528,
        1.9065378904342651,
        1.9140315055847168,
        1.9199048280715942,
        1.924656867980957,
        1.9286779165267944,
        1.9334787130355835,
        1.9320297241210938,
        1.9385428428649902,
        1.9437446594238281,
        1.945351243019104,
        1.9465304613113403,
        1.9467319250106812,
        1.9476442337036133,
        1.9533716440200806,
        1.9637421369552612,
        1.9660075902938843,
        1.9681938886642456,
        1.9672354459762573,
        1.9666175842285156,
        1.9734443426132202,
        1.975420355796814,
        1.9759477376937866,
        1.9755038022994995,
        1.9759217500686646,
        1.9771167039871216,
        1.9783440828323364,
        1.9785317182540894,
        1.9782228469848633,
        1.9790202379226685,
        1.9794044494628906,
        1.9807549715042114,
        1.9807705879211426,
        1.9816889762878418,
        1.9818177223205566,
        1.9819726943969727,
        1.9832391738891602,
        1.984681248664856,
        1.9854761362075806,
        1.9849982261657715,
        1.9853038787841797,
        1.9858044385910034,
        1.9860382080078125,
        1.9856733083724976,
        1.9853692054748535,
        1.985114574432373,
        1.9845854043960571,
        1.984380841255188,
        1.984005093574524,
        1.9842313528060913,
        1.9842071533203125,
        1.9836597442626953,
        1.9844123125076294,
        1.9846534729003906,
        1.9838690757751465,
        1.9828853607177734,
        1.983346939086914,
        1.9829190969467163,
        1.9832234382629395,
        1.983296275138855,
        1.9823509454727173,
        1.9820303916931152,
        1.9832884073257446,
        1.9828954935073853,
        1.983054757118225,
        1.982652187347412,
        1.9826812744140625,
        1.9830752611160278,
        1.9838298559188843,
        1.9836393594741821,
        1.9840484857559204,
        1.9836831092834473,
        1.9833474159240723,
        1.9841614961624146,
        1.9844671487808228,
        1.9843549728393555,
        1.984099268913269,
        1.9837923049926758,
        1.9840240478515625,
        1.9846205711364746,
        1.9849581718444824,
        1.9845207929611206,
        1.9852508306503296,
        1.9853254556655884,
        1.985252022743225,
        1.9859579801559448,
        1.9871400594711304,
        1.9866269826889038,
        1.986571192741394,
        1.9868712425231934,
        1.9874777793884277,
        1.9870411157608032,
        1.9865328073501587,
        1.9870868921279907,
        1.98745858669281,
        1.987410545349121,
        1.9879497289657593,
        1.9875755310058594,
        1.9861658811569214,
        1.9865951538085938,
        1.9867302179336548,
        1.9864702224731445,
        1.987905502319336,
        1.9894580841064453,
        1.9892326593399048,
        1.9885820150375366,
        1.9885892868041992,
        1.9892029762268066,
        1.9893971681594849,
        1.9893690347671509,
        1.9888197183609009,
        1.9888232946395874,
        1.9886225461959839,
        1.9890347719192505,
        1.9878219366073608,
        1.9875078201293945,
        1.9877924919128418,
        1.988154411315918,
        1.989153265953064,
        1.9901179075241089,
        1.9896451234817505,
        1.9885045289993286,
        1.9888783693313599,
        1.9889564514160156,
        1.9883770942687988,
        1.9894161224365234,
        1.9895867109298706,
        1.989505410194397,
        1.9895871877670288,
        1.989234447479248,
        1.9891290664672852,
        1.9892250299453735,
        1.989492416381836,
        1.9899497032165527,
        1.989578366279602,
        1.9900718927383423,
        1.989692211151123,
        1.9896063804626465,
        1.9900288581848145,
        1.9889259338378906,
        1.98945152759552,
        1.989935278892517,
        1.9893029928207397,
        1.989061713218689,
        1.9885711669921875,
        1.9893527030944824,
        1.989034652709961,
        1.989425539970398,
        1.9892826080322266,
        1.9896901845932007,
        1.9892363548278809,
        1.9898591041564941,
        1.9896589517593384,
        1.9894219636917114,
        1.9890080690383911,
        1.9897183179855347,
        1.9890989065170288,
        1.9886659383773804,
        1.9889144897460938,
        1.9887341260910034,
        1.9890385866165161,
        1.9886070489883423,
        1.9885762929916382,
        1.988642692565918,
        1.988943099975586,
        1.989006519317627,
        1.9889683723449707,
        1.9890815019607544,
        1.9890021085739136,
        1.989855170249939,
        1.9907441139221191,
        1.9900813102722168,
        1.9897316694259644,
        1.9904426336288452,
        1.9902944564819336,
        1.9901787042617798,
        1.99004065990448,
        1.9901374578475952,
        1.9904271364212036,
        1.9907398223876953,
        1.9900245666503906,
        1.9899426698684692,
        1.9890440702438354,
        1.9895070791244507,
        1.9898332357406616,
        1.9894746541976929,
        1.9893708229064941,
        1.9894700050354004,
        1.9898830652236938,
        1.9888254404067993,
        1.9889087677001953,
        1.9889863729476929,
        1.987586498260498,
        1.9873939752578735,
        1.9871259927749634,
        1.9864197969436646,
        1.9858002662658691,
        1.984411597251892,
        1.982690691947937,
        1.9804569482803345,
        1.9795106649398804,
        1.9784201383590698,
        1.9756728410720825,
        1.971279501914978,
        1.971673846244812,
        1.9700708389282227,
        1.9622721672058105,
        1.960099697113037,
        1.9507484436035156,
        1.9471930265426636,
        1.9496022462844849,
        1.9482733011245728,
        1.9478306770324707,
        1.9461380243301392,
        1.9433237314224243,
        1.9401499032974243,
        1.9385653734207153,
        1.9364265203475952,
        1.9339203834533691,
        1.9355864524841309,
        1.9334521293640137,
        1.9308093786239624,
        1.9292235374450684,
        1.926844596862793,
        1.9235657453536987,
        1.9221123456954956,
        1.9182347059249878,
        1.9171086549758911,
        1.9187884330749512,
        1.9176311492919922,
        1.915371298789978,
        1.913498044013977,
        1.9139795303344727,
        1.913476586341858,
        1.913980484008789,
        1.9134758710861206,
        1.9148494005203247,
        1.9185179471969604,
        1.9184197187423706,
        1.9172191619873047,
        1.915875792503357,
        1.913941502571106,
        1.911397099494934,
        1.9111272096633911,
        1.9101518392562866,
        1.9112792015075684,
        1.9097404479980469,
        1.9091612100601196,
        1.9107780456542969,
        1.9119147062301636,
        1.9101065397262573,
        1.9132943153381348,
        1.914615511894226,
        1.9151043891906738,
        1.915977120399475,
        1.916719913482666,
        1.9158358573913574,
        1.9181079864501953,
        1.9224647283554077,
        1.922075867652893,
        1.9208296537399292,
        1.9194177389144897,
        1.9210338592529297,
        1.9210764169692993,
        1.9205280542373657,
        1.9200444221496582,
        1.9215818643569946,
        1.9212278127670288,
        1.9193224906921387,
        1.919918179512024,
        1.9142061471939087,
        1.9128996133804321,
        1.9138094186782837,
        1.9123958349227905,
        1.910542607307434,
        1.9112941026687622,
        1.909737467765808,
        1.9066578149795532,
        1.9077062606811523,
        1.9042243957519531,
        1.9047881364822388,
        1.9052138328552246,
        1.9062862396240234,
        1.9078377485275269,
        1.907015323638916,
        1.910901427268982,
        1.911684513092041,
        1.9124189615249634,
        1.9126075506210327,
        1.917580246925354,
        1.918331265449524,
        1.923791766166687,
        1.9198087453842163,
        1.9237185716629028,
        1.933728814125061,
        1.934706211090088,
        1.944719910621643,
        1.9434274435043335,
        1.943851351737976,
        1.9495760202407837,
        1.9447284936904907,
        1.9493643045425415,
        1.9526532888412476,
        1.954790472984314,
        1.9527668952941895,
        1.9523773193359375,
        1.9512227773666382,
        1.9562188386917114,
        1.9452204704284668,
        1.9480289220809937,
        1.9436073303222656,
        1.9345403909683228,
        1.9372787475585938,
        1.9317690134048462,
        1.9406923055648804,
        1.9422744512557983,
        1.938792109489441,
        1.9541152715682983,
        1.936635971069336,
        1.931742787361145,
        1.9581350088119507,
        1.9588828086853027,
        1.9571245908737183,
        1.9528274536132812,
        1.989444375038147,
        2.002077102661133,
        1.9930821657180786,
        1.9996271133422852,
        2.0101449489593506,
        2.0319299697875977,
        2.023573875427246,
        2.0394463539123535,
        2.0413646697998047,
        2.0350139141082764,
        2.043942928314209,
        2.020982027053833,
        2.0278897285461426,
        1.9791101217269897,
        2.002744674682617,
        1.947059988975525,
        1.9280905723571777,
        1.9240187406539917,
        1.898017406463623,
        1.8746452331542969,
        1.8586269617080688,
        1.8433746099472046,
        1.8477277755737305,
        1.8245772123336792,
        1.8228330612182617,
        1.804284930229187,
        1.777117133140564,
        1.7737516164779663,
        1.7523573637008667,
        1.7434641122817993,
        1.7400569915771484,
        1.7271543741226196,
        1.7254968881607056,
        1.7101430892944336,
        1.7015401124954224,
        1.6877399682998657,
        1.6929569244384766,
        1.7001996040344238,
        1.6973772048950195,
        1.702290654182434,
        1.709699273109436,
        1.7141685485839844,
        1.7344838380813599,
        1.754205584526062,
        1.7742109298706055,
        1.8243695497512817,
        1.7933439016342163,
        1.7812576293945312,
        1.795729160308838,
        1.8179446458816528,
        1.8484309911727905,
        2.102189302444458,
        2.1254899501800537,
        2.1222105026245117,
        2.1220877170562744,
        2.123217821121216,
        2.1235389709472656,
        2.1237666606903076,
        2.1242501735687256,
        2.123868703842163,
        2.123272657394409,
        2.1224892139434814,
        2.121830701828003,
        2.1221365928649902,
        2.121506690979004,
        2.1207664012908936,
        2.122098922729492,
        2.1220738887786865,
        2.1204416751861572,
        2.1203606128692627,
        2.120467185974121,
        2.1203837394714355,
        2.1205413341522217,
        2.1202995777130127,
        2.1196811199188232,
        2.1201531887054443,
        2.119638681411743,
        2.1186697483062744,
        2.1187744140625,
        2.118058443069458,
        2.1182405948638916,
        2.118753671646118,
        2.1182568073272705,
        2.1184611320495605,
        2.118316888809204,
        2.119701623916626,
        2.119378089904785,
        2.1193759441375732,
        2.118608236312866,
        2.11966872215271,
        2.1206982135772705,
        2.120413064956665,
        2.1207573413848877,
        2.121122360229492,
        2.1208600997924805,
        2.121206045150757,
        2.1206960678100586,
        2.1213910579681396,
        2.1209986209869385,
        2.12087082862854,
        2.121593475341797,
        2.120962142944336,
        2.1213011741638184,
        2.1211318969726562,
        2.120880365371704,
        2.120652437210083,
        2.120934009552002,
        2.120992422103882,
        2.120934009552002,
        2.1209471225738525,
        2.119492530822754,
        2.1214025020599365,
        2.1205315589904785,
        2.1240313053131104,
        2.125748872756958,
        2.1150527000427246,
        2.1144559383392334,
        2.1166775226593018,
        2.101388931274414,
        2.0811760425567627,
        2.0846328735351562,
        2.0478992462158203,
        2.0315544605255127,
        2.0494580268859863,
        2.030275583267212,
        1.9877325296401978,
        2.000251293182373,
        2.058215856552124,
        2.053818464279175,
        2.054532766342163,
        2.0273783206939697,
        2.032658100128174,
        2.041553258895874,
        2.0746867656707764,
        2.0786824226379395,
        2.0616066455841064,
        2.017550230026245,
        2.0267136096954346,
        2.0355255603790283,
        2.0212953090667725,
        2.0185978412628174,
        2.011845350265503,
        2.014035224914551,
        2.015928030014038,
        2.008629560470581,
        2.0130603313446045,
        2.0246217250823975,
        2.0289571285247803,
        2.0258586406707764,
        2.029658555984497,
        2.03085994720459,
        2.028874635696411,
        2.0287792682647705,
        2.030264139175415,
        2.0281505584716797,
        2.0282537937164307,
        2.026350259780884,
        2.0269224643707275,
        2.0278208255767822,
        2.0296263694763184,
        2.031432867050171,
        2.032432794570923,
        2.0337913036346436,
        2.033843755722046,
        2.032792806625366,
        2.03277850151062,
        2.0340828895568848,
        2.035240888595581,
        2.0354197025299072,
        2.0354671478271484,
        2.036024332046509,
        2.0348968505859375,
        2.0360801219940186,
        2.0354185104370117,
        2.0361359119415283,
        2.036625623703003,
        2.0376107692718506,
        2.0372095108032227,
        2.0380666255950928,
        2.0379726886749268,
        2.037513017654419,
        2.038058042526245,
        2.037559747695923,
        2.042062997817993,
        2.04243540763855,
        2.039118766784668,
        2.0386297702789307,
        2.0390729904174805,
        2.0377511978149414,
        2.0382654666900635,
        2.0390701293945312,
        2.0367531776428223,
        2.035413980484009,
        2.034075975418091,
        2.0330471992492676,
        2.029780864715576,
        2.029580593109131,
        2.030961751937866,
        2.0301058292388916,
        2.025655746459961,
        2.014904260635376,
        2.009366273880005,
        2.009634494781494,
        2.005571126937866,
        2.0014841556549072,
        1.9940857887268066,
        1.990090250968933,
        1.986289620399475,
        1.9896451234817505,
        1.9917049407958984,
        1.969891905784607,
        1.9675275087356567,
        1.967353343963623,
        1.9765185117721558,
        1.9624966382980347,
        1.955062747001648,
        1.9571207761764526,
        1.9546785354614258,
        1.9509615898132324,
        1.9481512308120728,
        1.9445056915283203,
        1.9410381317138672,
        1.9378761053085327,
        1.93342125415802,
        1.9329562187194824,
        1.9317795038223267,
        1.9287842512130737,
        1.930280327796936,
        1.9273277521133423,
        1.9263962507247925,
        1.929084300994873,
        1.9280542135238647,
        1.9276694059371948,
        1.9262510538101196,
        1.9241639375686646,
        1.9212684631347656,
        1.9220556020736694,
        1.9224780797958374,
        1.9246991872787476,
        1.9264389276504517,
        1.9260377883911133,
        1.9255542755126953,
        1.9236031770706177,
        1.9209794998168945,
        1.9242695569992065,
        1.925370216369629,
        1.9289954900741577,
        1.9296430349349976,
        1.9302817583084106,
        1.9289602041244507,
        1.9299083948135376,
        1.929557204246521,
        1.9260166883468628,
        1.9257121086120605,
        1.9289116859436035,
        1.9314528703689575,
        1.928369402885437,
        1.9275165796279907,
        1.927770733833313,
        1.9272962808609009,
        1.9272741079330444,
        1.928174376487732,
        1.9280848503112793,
        1.9300400018692017,
        1.9283679723739624,
        1.9331306219100952,
        1.9340225458145142,
        1.9351502656936646,
        1.9354549646377563,
        1.9364233016967773,
        1.936089038848877,
        1.9366344213485718,
        1.9367214441299438,
        1.9361602067947388,
        1.9347056150436401,
        1.9347249269485474,
        1.9349004030227661,
        1.9351963996887207,
        1.9355168342590332,
        1.9366732835769653,
        1.9363775253295898,
        1.9374662637710571,
        1.9362188577651978,
        1.9366265535354614,
        1.9357160329818726,
        1.934992790222168,
        1.934348225593567,
        1.9338418245315552,
        1.9327000379562378,
        1.933007836341858,
        1.932594895362854,
        1.9323776960372925,
        1.9340687990188599,
        1.9330087900161743,
        1.9326725006103516,
        1.9302936792373657,
        1.9317264556884766,
        1.9325920343399048,
        1.9316235780715942,
        1.931584358215332,
        1.9315918684005737,
        1.9313422441482544,
        1.9323630332946777,
        1.9334449768066406,
        1.9337905645370483,
        1.9332844018936157,
        1.9331761598587036,
        1.9322477579116821,
        1.9315881729125977,
        1.930302619934082,
        1.9301477670669556,
        1.93000328540802,
        1.929768443107605,
        1.9297889471054077,
        1.9298752546310425,
        1.9280539751052856,
        1.9282106161117554,
        1.928159236907959,
        1.928114891052246,
        1.9268032312393188,
        1.9274152517318726,
        1.9273213148117065,
        1.9271535873413086,
        1.9274158477783203,
        1.9278115034103394,
        1.9302424192428589,
        1.9279727935791016,
        1.9287306070327759,
        1.9289666414260864,
        1.9270521402359009,
        1.924291968345642,
        1.921347975730896,
        1.916416049003601,
        1.9161781072616577,
        1.9094892740249634,
        1.9084392786026,
        1.9068149328231812,
        1.9013398885726929,
        1.895633339881897,
        1.8933433294296265,
        1.8846549987792969,
        1.8832563161849976,
        1.8805805444717407,
        1.8767696619033813,
        1.8725603818893433,
        1.879724144935608,
        1.8697081804275513,
        1.84900963306427,
        1.845483422279358,
        1.8763298988342285,
        1.8764060735702515,
        1.897229790687561,
        1.8925013542175293,
        1.9031028747558594,
        1.9658559560775757,
        1.9748576879501343,
        1.984384536743164,
        1.9844456911087036,
        1.9975236654281616,
        1.9939054250717163,
        1.9708000421524048,
        1.9544029235839844,
        1.9511226415634155,
        1.986385703086853,
        2.0849783420562744,
        2.093013048171997,
        2.129709005355835,
        2.1101911067962646,
        2.1118850708007812,
        2.1197469234466553,
        2.1327569484710693,
        2.1394834518432617,
        2.128998279571533,
        2.129401445388794,
        2.1292166709899902,
        2.151230573654175,
        2.1513822078704834,
        2.150705575942993,
        2.1497714519500732,
        2.1483561992645264,
        2.1332461833953857,
        2.1408889293670654,
        2.1425232887268066,
        2.1429288387298584,
        2.149768829345703,
        2.149994134902954,
        2.1500649452209473,
        2.14957594871521,
        2.1503734588623047,
        2.150261163711548,
        2.1498022079467773,
        2.1502699851989746,
        2.1490259170532227,
        2.14936900138855,
        2.1491429805755615,
        2.149216413497925,
        2.150022506713867,
        2.1504011154174805,
        2.150520086288452,
        2.149923086166382,
        2.150740623474121,
        2.1501142978668213,
        2.1497297286987305,
        2.149916887283325,
        2.1501901149749756,
        2.1505582332611084,
        2.150294542312622,
        2.1503746509552,
        2.150434970855713,
        2.149500608444214,
        2.150142192840576,
        2.1508853435516357,
        2.1500613689422607,
        2.1513917446136475,
        2.1519672870635986,
        2.1520845890045166,
        2.15203857421875,
        2.1510703563690186,
        2.1511762142181396,
        2.150728940963745,
        2.1501166820526123,
        2.1502883434295654,
        2.1506450176239014,
        2.1486032009124756,
        2.1498239040374756,
        2.1489884853363037,
        2.1489791870117188,
        2.1492815017700195,
        2.149296283721924,
        2.147761106491089,
        2.1473329067230225,
        2.1477832794189453,
        2.1485984325408936,
        2.1476995944976807,
        2.1476705074310303,
        2.1485822200775146,
        2.1495566368103027,
        2.1523468494415283,
        2.1459999084472656,
        2.1449925899505615,
        2.143812894821167,
        2.140324115753174,
        1.9801855087280273,
        1.9158062934875488,
        2.1099631786346436,
        2.0693647861480713,
        2.085386276245117,
        2.0608761310577393,
        2.081671714782715,
        2.0510165691375732,
        2.063396453857422,
        2.0687549114227295,
        2.0359067916870117,
        1.97478187084198,
        1.9260225296020508,
        1.9074815511703491,
        1.796878695487976,
        1.675136923789978,
        1.6168960332870483,
        1.5941041707992554,
        1.571703553199768,
        1.535360336303711,
        1.5136793851852417,
        1.506230354309082,
        1.4910216331481934,
        1.4853233098983765,
        1.4886361360549927,
        1.5092449188232422,
        1.5363880395889282,
        1.5611027479171753,
        1.5879015922546387,
        1.6045783758163452,
        1.606824278831482,
        1.6169523000717163,
        1.6362199783325195,
        1.645158290863037,
        1.6605311632156372,
        1.6717039346694946,
        1.6839914321899414,
        1.6968364715576172,
        1.708849549293518,
        1.7300101518630981,
        1.7469362020492554,
        1.7642053365707397,
        1.7580796480178833,
        1.7568272352218628,
        1.8065632581710815,
        1.8177770376205444,
        1.8135935068130493,
        1.8184915781021118,
        1.8202449083328247,
        1.8314365148544312,
        1.8368748426437378,
        1.838541865348816,
        1.8401354551315308,
        1.8478703498840332,
        1.8506921529769897,
        1.8525300025939941,
        1.8578599691390991,
        1.8577662706375122,
        1.8583064079284668,
        1.8578828573226929,
        1.8594732284545898,
        1.8637372255325317,
        1.865606427192688,
        1.8619529008865356,
        1.8634042739868164,
        1.8657207489013672,
        1.8640871047973633,
        1.8653850555419922,
        1.8652108907699585,
        1.8581891059875488,
        1.8563839197158813,
        1.8603854179382324,
        1.8590644598007202,
        1.8621196746826172,
        1.8617075681686401,
        1.8627287149429321,
        1.862417221069336,
        1.8600951433181763,
        1.860357642173767,
        1.8610854148864746,
        1.8628402948379517,
        1.865404486656189,
        1.8621026277542114,
        1.8632278442382812,
        1.8647946119308472,
        1.8641046285629272,
        1.865285873413086,
        1.8656045198440552,
        1.8563733100891113,
        1.863682746887207,
        1.8570971488952637,
        1.8634775876998901,
        1.8633809089660645,
        1.868055820465088,
        1.8676618337631226,
        1.8669471740722656,
        1.8634456396102905,
        1.8652502298355103,
        1.8672610521316528,
        1.8678098917007446,
        1.8671293258666992,
        1.8603359460830688,
        1.8678269386291504,
        1.8677796125411987,
        1.8685493469238281,
        1.8651427030563354,
        1.865665316581726,
        1.8596934080123901,
        1.8661941289901733,
        1.8649276494979858,
        1.8604307174682617,
        1.8646761178970337,
        1.8644838333129883,
        1.8660521507263184,
        1.8667734861373901,
        1.8643794059753418,
        1.865002989768982,
        1.8666077852249146,
        1.865941047668457,
        1.8648635149002075,
        1.8654826879501343,
        1.8639405965805054,
        1.8627341985702515,
        1.8650439977645874,
        1.8646734952926636,
        1.865199089050293,
        1.8643194437026978,
        1.8645328283309937,
        1.8641589879989624,
        1.8654465675354004,
        1.866076946258545,
        1.8605684041976929,
        1.8600711822509766,
        1.8613687753677368,
        1.8592886924743652,
        1.859052300453186,
        1.8536396026611328,
        1.851044774055481,
        1.8484801054000854,
        1.8500007390975952,
        1.8503308296203613,
        1.8509591817855835,
        1.8495815992355347,
        1.8468866348266602,
        1.8441643714904785,
        1.8431371450424194,
        1.838827133178711,
        1.833702564239502,
        1.830594539642334,
        1.8232479095458984,
        1.8233575820922852,
        1.8158289194107056,
        1.8090486526489258,
        1.803633689880371,
        1.7966428995132446,
        1.80003023147583,
        1.797700047492981,
        1.791421890258789,
        1.7812957763671875,
        1.7681198120117188,
        1.7571295499801636,
        1.7515950202941895,
        1.7469110488891602,
        1.7356857061386108,
        1.7236512899398804,
        1.7013853788375854,
        1.67929208278656,
        1.6674553155899048,
        1.6498174667358398,
        1.639386773109436,
        1.6249722242355347,
        1.6123690605163574,
        1.6051483154296875,
        1.5877132415771484,
        1.5749640464782715,
        1.5673977136611938,
        1.5661978721618652,
        1.5558921098709106,
        1.5417823791503906,
        1.533789038658142,
        1.532655119895935,
        1.5285063982009888,
        1.525278925895691,
        1.5162538290023804,
        1.5103617906570435,
        1.5072039365768433,
        1.4995862245559692,
        1.4946613311767578,
        1.4781440496444702,
        1.480040431022644,
        1.4636892080307007,
        1.485727310180664,
        1.449800968170166,
        1.4444249868392944,
        1.4599500894546509,
        1.4599065780639648,
        1.4529045820236206,
        1.4431315660476685,
        1.4084696769714355,
        1.4231680631637573,
        1.4090970754623413,
        1.4087015390396118,
        1.3806185722351074,
        1.3589321374893188,
        1.3515242338180542,
        1.3236476182937622,
        1.3335351943969727,
        1.331614375114441,
        1.3455709218978882,
        1.3504031896591187,
        1.37273108959198,
        1.4143842458724976,
        1.449416995048523,
        1.4906502962112427,
        1.5152839422225952,
        1.5461117029190063,
        1.57180917263031,
        1.6159156560897827,
        1.7455110549926758,
        1.8048473596572876,
        1.852622628211975,
        1.9227980375289917,
        2.0201053619384766,
        2.001941442489624,
        2.015087842941284,
        2.0593461990356445,
        2.026285171508789,
        2.01421856880188,
        1.9615815877914429,
        2.061569929122925,
        2.0816218852996826,
        2.157536029815674,
        2.1572015285491943,
        2.1551730632781982,
        2.1572744846343994,
        2.156874418258667,
        2.158498525619507,
        2.1590349674224854,
        2.1586854457855225,
        2.158284902572632,
        2.156975269317627,
        2.157010793685913,
        2.1569859981536865,
        2.156812906265259,
        2.157910108566284,
        2.1575045585632324,
        2.1565074920654297,
        2.1559650897979736,
        2.1560096740722656,
        2.155726194381714,
        2.1554548740386963,
        2.155696153640747,
        2.1557323932647705,
        2.154689311981201,
        2.1546072959899902,
        2.154212713241577,
        2.153703451156616,
        2.154101610183716,
        2.1554248332977295,
        2.1555161476135254,
        2.153442621231079,
        2.155427932739258,
        2.1552956104278564,
        2.155041217803955,
        2.1552212238311768,
        2.1552164554595947,
        2.1541106700897217,
        2.1555912494659424,
        2.1554548740386963,
        2.1555635929107666,
        2.1546549797058105,
        2.1546878814697266,
        2.1554698944091797,
        2.1550955772399902,
        2.154543876647949,
        2.1548447608947754,
        2.1557817459106445,
        2.1557915210723877,
        2.1549577713012695,
        2.1553850173950195,
        2.1546614170074463,
        2.155714273452759,
        2.1561529636383057,
        2.1554529666900635,
        2.1553478240966797,
        2.1555163860321045,
        2.1552979946136475,
        2.1541693210601807,
        2.1537961959838867,
        2.156013011932373,
        2.155311107635498,
        2.156118631362915,
        2.1557586193084717,
        2.1540863513946533,
        2.1575963497161865,
        2.1222143173217773,
        2.0797550678253174,
        2.0842907428741455,
        2.0817739963531494,
        2.091681718826294,
        2.122199773788452,
        2.138873815536499,
        2.131392478942871,
        2.1024293899536133,
        2.095573902130127,
        2.0765979290008545,
        2.0623762607574463,
        1.7808384895324707,
        1.680898666381836,
        1.6058464050292969,
        1.5487414598464966,
        1.474515438079834,
        1.4288105964660645,
        1.377764344215393,
        1.3417304754257202,
        1.315770149230957,
        1.2802739143371582,
        1.2522417306900024,
        1.2252322435379028,
        1.2050477266311646,
        1.1945053339004517,
        1.1942938566207886,
        1.1946543455123901,
        1.231662392616272,
        1.3122079372406006,
        1.363504409790039,
        1.366615653038025,
        1.4352716207504272,
        1.45662260055542,
        1.4796924591064453,
        1.51203191280365,
        1.5374575853347778,
        1.5485979318618774,
        1.5592565536499023,
        1.5716334581375122,
        1.5721796751022339,
        1.5795177221298218,
        1.5880643129348755,
        1.597446084022522,
        1.6072378158569336,
        1.6179914474487305,
        1.6125116348266602,
        1.6111754179000854,
        1.620745062828064,
        1.6300045251846313,
        1.6313234567642212,
        1.6360191106796265,
        1.6480885744094849,
        1.65009343624115,
        1.6455321311950684,
        1.647466778755188,
        1.6490055322647095,
        1.6489685773849487,
        1.6528719663619995,
        1.6604849100112915,
        1.658083438873291,
        1.6570056676864624,
        1.656707763671875,
        1.6570912599563599,
        1.6593555212020874,
        1.6585456132888794,
        1.6586052179336548,
        1.6548681259155273,
        1.654658317565918,
        1.663695216178894,
        1.6670207977294922,
        1.6637624502182007,
        1.6643924713134766,
        1.6621230840682983,
        1.6606287956237793,
        1.6528023481369019,
        1.6569370031356812,
        1.6639580726623535,
        1.6552414894104004,
        1.6488924026489258,
        1.6498712301254272,
        1.6633437871932983,
        1.6602730751037598,
        1.653112530708313,
        1.6481822729110718,
        1.6489801406860352,
        1.649521827697754,
        1.6499816179275513,
        1.650915503501892,
        1.645199179649353,
        1.642762541770935,
        1.6440788507461548,
        1.635536789894104,
        1.637130856513977,
        1.6403833627700806,
        1.6328039169311523,
        1.6310418844223022,
        1.6258593797683716,
        1.6156582832336426,
        1.6080137491226196,
        1.6225862503051758,
        1.6149049997329712,
        1.5870484113693237,
        1.5830283164978027,
        1.5661005973815918,
        1.5521072149276733,
        1.5380077362060547,
        1.535946249961853,
        1.5400232076644897,
        1.5343087911605835,
        1.525856852531433,
        1.5303621292114258,
        1.5337181091308594,
        1.5440489053726196,
        1.5678983926773071,
        1.5665448904037476,
        1.5904083251953125,
        1.6048755645751953,
        1.6146687269210815,
        1.6300619840621948,
        1.6412086486816406,
        1.6552380323410034,
        1.6633281707763672,
        1.6701983213424683,
        1.673815369606018,
        1.6853857040405273,
        1.6954665184020996,
        1.7061411142349243,
        1.7088757753372192,
        1.71611487865448,
        1.7158106565475464,
        1.7185105085372925,
        1.7175183296203613,
        1.7141118049621582,
        1.7171554565429688,
        1.7180722951889038,
        1.7201613187789917,
        1.7183341979980469,
        1.7197667360305786,
        1.7200568914413452,
        1.7202930450439453,
        1.7192507982254028,
        1.7197977304458618,
        1.7226076126098633,
        1.721450686454773,
        1.7189480066299438,
        1.714375615119934,
        1.7121251821517944,
        1.6970243453979492,
        1.675462245941162,
        1.6635264158248901,
        1.6297837495803833,
        1.5995550155639648,
        1.5312772989273071,
        1.524083137512207,
        1.511651635169983,
        1.4984060525894165,
        1.4838457107543945,
        1.4837225675582886,
        1.4968160390853882,
        1.4980467557907104,
        1.5173171758651733,
        1.5066627264022827,
        1.5185514688491821,
        1.5615073442459106,
        1.5667463541030884,
        1.594180703163147,
        1.6238824129104614,
        1.6514559984207153,
        1.6614779233932495,
        1.6732311248779297,
        1.6980304718017578,
        1.705479621887207,
        1.7709039449691772,
        1.8035272359848022,
        1.8503133058547974,
        1.8914737701416016,
        1.9481319189071655,
        1.972193717956543,
        1.9680174589157104,
        1.9746685028076172,
        2.028090238571167,
        2.139286518096924,
        2.1531357765197754,
        2.15347957611084,
        2.1507012844085693,
        2.1506872177124023,
        2.149958372116089,
        2.1497418880462646,
        2.1496450901031494,
        2.149205446243286,
        2.148846387863159,
        2.150560140609741,
        2.1506900787353516,
        2.1504769325256348,
        2.1495044231414795,
        2.1498472690582275,
        2.1496834754943848,
        2.149914503097534,
        2.149747371673584,
        2.1506435871124268,
        2.150252103805542,
        2.1498706340789795,
        2.1498944759368896,
        2.1502420902252197,
        2.150231122970581,
        2.15059757232666,
        2.149831533432007,
        2.1505606174468994,
        2.1501846313476562,
        2.1499059200286865,
        2.1495320796966553,
        2.1501286029815674,
        2.149738311767578,
        2.1499249935150146,
        2.1498591899871826,
        2.1500558853149414,
        2.149529218673706,
        2.1503632068634033,
        2.149914264678955,
        2.150632619857788,
        2.1499550342559814,
        2.149170160293579,
        2.150728225708008,
        2.1493091583251953,
        2.1499102115631104,
        2.1492245197296143,
        2.149599075317383,
        2.148914337158203,
        2.1496684551239014,
        2.147831678390503,
        2.1494579315185547,
        2.150938034057617,
        2.1466996669769287,
        2.1487224102020264,
        2.150010824203491,
        2.14913272857666,
        2.147876739501953,
        2.1478099822998047,
        2.147512912750244,
        2.152772903442383,
        2.132336378097534,
        2.0622992515563965,
        2.053658962249756,
        2.0154430866241455,
        1.9936634302139282,
        1.937456488609314,
        1.7607011795043945,
        1.67656409740448,
        1.6279658079147339,
        1.635170578956604,
        1.6042346954345703,
        1.5878950357437134,
        1.6047054529190063,
        1.5583456754684448,
        1.6710940599441528,
        1.6859078407287598,
        1.713182806968689,
        1.7626986503601074,
        1.767295241355896,
        1.791582703590393,
        1.8299427032470703,
        1.8352651596069336,
        1.840601921081543,
        1.849713683128357,
        1.8595848083496094,
        1.8685812950134277,
        1.870068073272705,
        1.8710436820983887,
        1.874133586883545,
        1.8744635581970215,
        1.8762136697769165,
        1.876443862915039,
        1.8777923583984375,
        1.8785762786865234,
        1.879618763923645,
        1.8793983459472656,
        1.8800878524780273,
        1.8813114166259766,
        1.8828110694885254,
        1.8809313774108887,
        1.8812766075134277,
        1.8830056190490723,
        1.8831537961959839,
        1.8835735321044922,
        1.8825632333755493,
        1.8814336061477661,
        1.8793405294418335,
        1.8807331323623657,
        1.880099892616272,
        1.878642201423645,
        1.8780113458633423,
        1.878484845161438,
        1.8772621154785156,
        1.8756083250045776,
        1.8743969202041626,
        1.874125361442566,
        1.8736592531204224,
        1.8713369369506836,
        1.8694953918457031,
        1.8708553314208984,
        1.8684306144714355,
        1.8715940713882446,
        1.87617027759552,
        1.880733609199524,
        1.8873262405395508,
        1.8892425298690796,
        1.893621802330017,
        1.9050174951553345,
        1.9148896932601929,
        1.916211485862732,
        1.9247068166732788,
        1.930550456047058,
        1.9398025274276733,
        1.9492340087890625,
        1.9465374946594238,
        1.9454766511917114,
        1.9515208005905151,
        1.9563336372375488,
        1.9701722860336304,
        1.9854694604873657,
        1.9965516328811646,
        1.9993400573730469,
        2.000284433364868,
        1.9981303215026855,
        1.9981164932250977,
        1.9985361099243164,
        2.00422739982605,
        2.0066845417022705,
        2.0091922283172607,
        2.0039050579071045,
        2.0015649795532227,
        1.999268889427185,
        2.0000269412994385,
        2.0049402713775635,
        2.0088088512420654,
        2.0049967765808105,
        2.0032637119293213,
        2.001206159591675,
        2.001206636428833,
        2.0020272731781006,
        2.0032622814178467,
        2.0023488998413086,
        2.004490613937378,
        2.0023391246795654,
        2.001845359802246,
        2.0042672157287598,
        2.0036396980285645,
        2.003878355026245,
        2.0043017864227295,
        2.003385543823242,
        2.0024683475494385,
        2.0030715465545654,
        2.0038630962371826,
        2.0054588317871094,
        2.005859613418579,
        2.006390333175659,
        2.0068023204803467,
        2.0027272701263428,
        2.0015676021575928,
        2.002256393432617,
        1.9988411664962769,
        1.9936696290969849,
        1.980269432067871,
        1.9701889753341675,
        1.9569624662399292,
        1.9389303922653198,
        1.8881778717041016,
        1.8223737478256226,
        1.7845678329467773,
        1.751080870628357,
        1.7422008514404297,
        1.7273584604263306,
        1.7324708700180054,
        1.715854287147522,
        1.7287415266036987,
        1.727080225944519,
        1.735864281654358,
        1.7291536331176758,
        1.775865912437439,
        1.782656192779541,
        1.854929804801941,
        1.9529094696044922,
        2.0218937397003174,
        2.0361592769622803,
        2.097677707672119,
        2.105571985244751,
        2.105227470397949,
        2.1038436889648438,
        2.1054799556732178,
        2.1051411628723145,
        2.1049482822418213,
        2.1051268577575684,
        2.104616403579712,
        2.104768991470337,
        2.1044018268585205,
        2.105100154876709,
        2.1054739952087402,
        2.1052029132843018,
        2.1044864654541016,
        2.104668378829956,
        2.1036436557769775,
        2.105165958404541,
        2.1046340465545654,
        2.10603404045105,
        2.106334686279297,
        2.1066653728485107,
        2.1059377193450928,
        2.1070499420166016,
        2.1043460369110107,
        2.1006569862365723,
        2.1006553173065186,
        2.1020376682281494,
        2.1036288738250732,
        2.1022164821624756,
        2.106903553009033,
        2.106043577194214,
        2.055104970932007,
        1.9468731880187988,
        1.9103440046310425,
        1.9338045120239258,
        2.003084182739258,
        1.9075886011123657,
        1.8870452642440796,
        1.8305400609970093,
        1.8112934827804565,
        1.805145263671875,
        1.7748719453811646,
        1.7712206840515137,
        1.7596005201339722,
        1.7581919431686401,
        1.7600020170211792,
        1.775020718574524,
        1.777361273765564,
        1.7970638275146484,
        1.7952851057052612,
        1.8105899095535278,
        1.8190536499023438,
        1.8217955827713013,
        1.8197050094604492,
        1.82624089717865,
        1.8331423997879028,
        1.8354949951171875,
        1.839978814125061,
        1.845224380493164,
        1.84665048122406,
        1.854495644569397,
        1.8763176202774048,
        1.87093985080719,
        1.874090313911438,
        1.8821998834609985,
        1.917676329612732,
        1.9274102449417114,
        1.9222429990768433,
        1.911734700202942,
        1.9008150100708008,
        1.900354027748108,
        1.9028908014297485,
        1.8966827392578125,
        1.8883075714111328,
        1.876789927482605,
        1.8660407066345215,
        1.8574724197387695,
        1.8441272974014282,
        1.840377688407898,
        1.8324371576309204,
        1.8326200246810913,
        1.828545093536377,
        1.8246879577636719,
        1.8157949447631836,
        1.8100229501724243,
        1.8041878938674927,
        1.7903114557266235,
        1.7756586074829102,
        1.764573574066162,
        1.7513103485107422,
        1.7451506853103638,
        1.7142101526260376,
        1.676608681678772,
        1.5862798690795898,
        1.5542601346969604,
        1.5832685232162476,
        1.5916115045547485,
        1.615247130393982,
        1.629952073097229,
        1.6577324867248535,
        1.6713027954101562,
        1.6892286539077759,
        1.7044224739074707,
        1.7854458093643188,
        1.9033702611923218,
        1.9291592836380005,
        1.9873981475830078,
        1.96826171875,
        1.9666346311569214,
        2.012692451477051,
        2.1450083255767822,
        2.151433229446411,
        2.1518263816833496,
        2.1518900394439697,
        2.152492046356201,
        2.151376724243164,
        2.151120662689209,
        2.151402711868286,
        2.1508419513702393,
        2.14939022064209,
        2.1486055850982666,
        2.148219347000122,
        2.148293972015381,
        2.1483266353607178,
        2.1493332386016846,
        2.148728609085083,
        2.148963212966919,
        2.1499993801116943,
        2.1490986347198486,
        2.1495707035064697,
        2.150590419769287,
        2.15046763420105,
        2.1508302688598633,
        2.150653123855591,
        2.1516737937927246,
        2.1513307094573975,
        2.153118133544922,
        2.1481430530548096,
        2.148836851119995,
        2.14963698387146,
        2.1472272872924805,
        2.14711856842041,
        2.1476662158966064,
        2.1475536823272705,
        2.1489574909210205,
        2.1468355655670166,
        2.1472256183624268,
        2.147109270095825,
        2.1372010707855225,
        2.0599048137664795,
        2.000662088394165,
        1.9893388748168945,
        1.990735650062561,
        2.0064244270324707,
        2.0085690021514893,
        1.8773502111434937,
        1.7279624938964844,
        1.6286840438842773,
        1.6029953956604004,
        1.5841150283813477,
        1.554221510887146,
        1.5483665466308594,
        1.5495954751968384,
        1.5790890455245972,
        1.6271052360534668,
        1.6493030786514282,
        1.661454200744629,
        1.6857048273086548,
        1.698408603668213,
        1.7082430124282837,
        1.7247852087020874,
        1.7446187734603882,
        1.7512224912643433,
        1.7582440376281738,
        1.7663427591323853,
        1.767313838005066,
        1.7674185037612915,
        1.7722247838974,
        1.7745851278305054,
        1.7771638631820679,
        1.7791804075241089,
        1.784056544303894,
        1.787819504737854,
        1.7899898290634155,
        1.792615532875061,
        1.7960087060928345,
        1.7963032722473145,
        1.7959270477294922,
        1.798365592956543,
        1.7981494665145874,
        1.7985382080078125,
        1.7991437911987305,
        1.8010152578353882,
        1.8016009330749512,
        1.8023511171340942,
        1.8033016920089722,
        1.80301034450531,
        1.8029260635375977,
        1.8037155866622925,
        1.804297924041748,
        1.8040775060653687,
        1.8039439916610718,
        1.804568886756897,
        1.8043851852416992,
        1.8040472269058228,
        1.8047641515731812,
        1.8046231269836426,
        1.804573893547058,
        1.804140567779541,
        1.804273009300232,
        1.8048110008239746,
        1.8041824102401733,
        1.8053048849105835,
        1.8052929639816284,
        1.804324746131897,
        1.8045382499694824,
        1.805371642112732,
        1.8048111200332642,
        1.8053027391433716,
        1.8054299354553223,
        1.8060907125473022,
        1.8079336881637573,
        1.8097214698791504,
        1.8104809522628784,
        1.8109722137451172,
        1.810679316520691,
        1.8105565309524536,
        1.8113120794296265,
        1.8117033243179321,
        1.8119430541992188,
        1.8122119903564453,
        1.8117197751998901,
        1.811524748802185,
        1.8123167753219604,
        1.8124423027038574,
        1.8125505447387695,
        1.8120169639587402,
        1.8130817413330078,
        1.8134641647338867,
        1.8131953477859497,
        1.8122066259384155,
        1.8116272687911987,
        1.8123115301132202,
        1.810979962348938,
        1.8107013702392578,
        1.808023452758789,
        1.8076175451278687,
        1.8073021173477173,
        1.8089752197265625,
        1.8090171813964844,
        1.8076683282852173,
        1.805808186531067,
        1.8052269220352173,
        1.8053735494613647,
        1.8085345029830933,
        1.804128646850586,
        1.8081027269363403,
        1.8056541681289673,
        1.8030263185501099,
        1.8020238876342773,
        1.8066654205322266,
        1.807799220085144,
        1.8073530197143555,
        1.8079794645309448,
        1.8096685409545898,
        1.8082159757614136,
        1.8046783208847046,
        1.801558017730713,
        1.805721640586853,
        1.8060466051101685,
        1.8076790571212769,
        1.8114380836486816,
        1.8072603940963745,
        1.8077577352523804,
        1.8102097511291504,
        1.8130587339401245,
        1.806692123413086,
        1.807286262512207,
        1.8113576173782349,
        1.8112883567810059,
        1.8104850053787231,
        1.8122237920761108,
        1.8134697675704956,
        1.813660740852356,
        1.8121953010559082,
        1.8110227584838867,
        1.8106600046157837,
        1.809183120727539,
        1.805061936378479,
        1.801857590675354,
        1.7955330610275269,
        1.7835149765014648,
        1.7681008577346802,
        1.7461227178573608,
        1.7197585105895996,
        1.6976429224014282,
        1.6808719635009766,
        1.6525465250015259,
        1.629786491394043,
        1.6146150827407837,
        1.6015340089797974,
        1.5879735946655273,
        1.5753401517868042,
        1.5545505285263062,
        1.5429034233093262,
        1.5492280721664429,
        1.544209361076355,
        1.5575990676879883,
        1.589165210723877,
        1.6064634323120117,
        1.6205816268920898,
        1.6403778791427612,
        1.690665364265442,
        1.6901041269302368,
        1.7328823804855347,
        1.9326497316360474,
        1.95388925075531,
        1.9718360900878906,
        1.9900461435317993,
        2.022817850112915,
        1.9640237092971802,
        1.9810047149658203,
        2.025282621383667,
        2.1297290325164795,
        2.1398093700408936,
        2.1412925720214844,
        2.141019105911255,
        2.1410000324249268,
        2.1407177448272705,
        2.1408660411834717,
        2.1403305530548096,
        2.1391265392303467,
        2.1399142742156982,
        2.140955686569214,
        2.1402862071990967,
        2.1407973766326904,
        2.14067006111145,
        2.1412556171417236,
        2.1413378715515137,
        2.1413471698760986,
        2.140692710876465,
        2.1411077976226807,
        2.1412551403045654,
        2.140643835067749,
        2.1396191120147705,
        2.1395628452301025,
        2.1402785778045654,
        2.140270948410034,
        2.140664577484131,
        2.140082359313965,
        2.141906976699829,
        2.1408462524414062,
        2.141932487487793,
        2.1419754028320312,
        2.0770351886749268,
        1.8537917137145996,
        1.7785276174545288,
        1.9353699684143066,
        1.9632415771484375,
        1.9426196813583374,
        1.9306086301803589,
        1.806279182434082,
        1.7116847038269043,
        1.5962597131729126,
        1.5818933248519897,
        1.5873980522155762,
        1.6017084121704102,
        1.6016188859939575,
        1.6226310729980469,
        1.6626454591751099,
        1.679534912109375,
        1.690293312072754,
        1.6988815069198608,
        1.7033201456069946,
        1.700506567955017,
        1.7184933423995972,
        1.7213550806045532,
        1.7257790565490723,
        1.7220216989517212,
        1.7291332483291626,
        1.7327288389205933,
        1.7386436462402344,
        1.7442760467529297,
        1.760293960571289,
        1.770790934562683,
        1.7679067850112915,
        1.7748874425888062,
        1.7795019149780273,
        1.80811607837677,
        1.8096452951431274,
        1.8176437616348267,
        1.8245047330856323,
        1.821816086769104,
        1.833386778831482,
        1.8326085805892944,
        1.8368048667907715,
        1.8364830017089844,
        1.8385566473007202,
        1.841131329536438,
        1.8444746732711792,
        1.8472734689712524,
        1.8500555753707886,
        1.8500720262527466,
        1.849945068359375,
        1.8450636863708496,
        1.849029541015625,
        1.8524723052978516,
        1.843427300453186,
        1.8406587839126587,
        1.8416329622268677,
        1.8398939371109009,
        1.838451862335205,
        1.8398633003234863,
        1.8445590734481812,
        1.8473902940750122,
        1.8464065790176392,
        1.8462872505187988,
        1.8441123962402344,
        1.8433208465576172,
        1.843414306640625,
        1.8423618078231812,
        1.844140887260437,
        1.8433313369750977,
        1.8405207395553589,
        1.8401933908462524,
        1.83918035030365,
        1.8376407623291016,
        1.836681842803955,
        1.8380404710769653,
        1.8375840187072754,
        1.8350578546524048,
        1.8343696594238281,
        1.8344422578811646,
        1.8354965448379517,
        1.831614375114441,
        1.8227869272232056,
        1.8155654668807983,
        1.800148606300354,
        1.7790154218673706,
        1.7658339738845825,
        1.7391690015792847,
        1.7232389450073242,
        1.7046595811843872,
        1.6884751319885254,
        1.6714963912963867,
        1.6805663108825684,
        1.7227905988693237,
        1.8440240621566772,
        1.8745216131210327,
        1.9232875108718872,
        1.9959416389465332,
        2.0040371417999268,
        1.993117332458496,
        1.970465064048767,
        1.9486709833145142,
        2.0186946392059326,
        2.0222127437591553,
        2.0669984817504883,
        2.134915590286255,
        2.1491711139678955,
        2.150766611099243,
        2.1511127948760986,
        2.1501331329345703,
        2.1496036052703857,
        2.149705171585083,
        2.1500279903411865,
        2.149836778640747,
        2.150214195251465,
        2.1498875617980957,
        2.150529384613037,
        2.1497771739959717,
        2.1502482891082764,
        2.1494274139404297,
        2.1381211280822754,
        2.138084650039673,
        2.150949478149414,
        2.150557518005371,
        2.150498628616333,
        2.1490790843963623,
        2.1498537063598633,
        2.150042772293091,
        2.150345802307129,
        2.1493070125579834,
        2.1508333683013916,
        2.151660919189453,
        2.1522607803344727,
        2.151404619216919,
        2.1475956439971924,
        2.1488606929779053,
        2.1505722999572754,
        2.1469528675079346,
        2.1471569538116455,
        2.147702693939209,
        2.1484131813049316,
        2.146915912628174,
        2.1494877338409424,
        2.149198293685913,
        2.1492300033569336,
        2.148851156234741,
        2.14846134185791,
        2.148470878601074,
        2.148940324783325,
        2.1494178771972656,
        2.1495561599731445,
        2.1338021755218506,
        2.075761318206787,
        1.9784846305847168,
        1.922714114189148,
        1.9045343399047852,
        1.9144930839538574,
        1.9491758346557617,
        1.9850502014160156,
        2.030200242996216,
        1.8496192693710327,
        1.6855567693710327,
        1.6115021705627441,
        1.567792296409607,
        1.5701184272766113,
        1.552384853363037,
        1.5426855087280273,
        1.5476819276809692,
        1.5586518049240112,
        1.6112018823623657,
        1.6415132284164429,
        1.6653656959533691,
        1.6927868127822876,
        1.70713472366333,
        1.7390004396438599,
        1.7637048959732056,
        1.7835062742233276,
        1.7938705682754517,
        1.8029308319091797,
        1.8100558519363403,
        1.8147296905517578,
        1.8154107332229614,
        1.8172754049301147,
        1.8197351694107056,
        1.8226150274276733,
        1.8234564065933228,
        1.8246164321899414,
        1.8229269981384277,
        1.8226360082626343,
        1.8244071006774902,
        1.8246411085128784,
        1.8247753381729126,
        1.8242878913879395,
        1.8282947540283203,
        1.8296083211898804,
        1.8294576406478882,
        1.8284058570861816,
        1.8276281356811523,
        1.8282523155212402,
        1.8298448324203491,
        1.8300126791000366,
        1.8305450677871704,
        1.8304909467697144,
        1.8297165632247925,
        1.8303977251052856,
        1.83004629611969,
        1.829240322113037,
        1.8275483846664429,
        1.8248592615127563,
        1.8238636255264282,
        1.8211652040481567,
        1.8097929954528809,
        1.7956568002700806,
        1.7808126211166382,
        1.7447351217269897,
        1.7320705652236938,
        1.7028452157974243,
        1.6866706609725952,
        1.6730670928955078,
        1.6659554243087769,
        1.6534146070480347,
        1.6449346542358398,
        1.6382871866226196,
        1.6260309219360352,
        1.6130741834640503,
        1.6159971952438354,
        1.6099772453308105,
        1.6121774911880493,
        1.6114416122436523,
        1.6128392219543457,
        1.6147409677505493,
        1.6159192323684692,
        1.6059352159500122,
        1.616392731666565,
        1.617684006690979,
        1.618841528892517,
        1.6208804845809937,
        1.6113697290420532,
        1.612549901008606,
        1.6137033700942993,
        1.6178592443466187,
        1.61803138256073,
        1.6167134046554565,
        1.6138567924499512,
        1.6112208366394043,
        1.617785096168518,
        1.6177058219909668,
        1.6089690923690796,
        1.6118873357772827,
        1.6099714040756226,
        1.6099166870117188,
        1.6102136373519897,
        1.6033949851989746,
        1.601946234703064,
        1.6009498834609985,
        1.596840500831604,
        1.6018404960632324,
        1.6069244146347046,
        1.605819821357727,
        1.604678750038147,
        1.6029210090637207,
        1.602553367614746,
        1.6007963418960571,
        1.607588768005371,
        1.6023341417312622,
        1.5945669412612915,
        1.6041258573532104,
        1.6110841035842896,
        1.6166653633117676,
        1.62869131565094,
        1.629716396331787,
        1.6305779218673706,
        1.6332345008850098,
        1.6191531419754028,
        1.634799838066101,
        1.6636977195739746,
        1.6370363235473633,
        1.7807410955429077,
        1.8392372131347656,
        1.9122482538223267,
        1.9016199111938477,
        1.9127229452133179,
        1.9626609086990356,
        1.9369758367538452,
        1.9202772378921509,
        2.0190184116363525,
        2.1418521404266357,
        2.142976999282837,
        2.143961191177368,
        2.143437385559082,
        2.1429402828216553,
        2.142784595489502,
        2.1432440280914307,
        2.1433780193328857,
        2.1433236598968506,
        2.1433427333831787,
        2.143233060836792,
        2.1431920528411865,
        2.143423318862915,
        2.1436378955841064,
        2.143340587615967,
        2.1430323123931885,
        2.1450750827789307,
        2.1438472270965576,
        2.145226240158081,
        2.144731283187866,
        2.145533323287964,
        2.1430468559265137,
        2.1440556049346924,
        2.143890619277954,
        2.1411545276641846,
        2.1224420070648193,
        1.9766517877578735,
        1.9831480979919434,
        1.9441224336624146,
        1.9566775560379028,
        1.9401506185531616,
        1.942085862159729,
        1.9353731870651245,
        1.8879871368408203,
        1.7707395553588867,
        1.659177303314209,
        1.584826946258545,
        1.5507416725158691,
        1.5384165048599243,
        1.5135964155197144,
        1.500678539276123,
        1.4968372583389282,
        1.5401219129562378,
        1.5517138242721558,
        1.606867790222168,
        1.6313906908035278,
        1.657978892326355,
        1.6828413009643555,
        1.7038105726242065,
        1.7288446426391602,
        1.7446142435073853,
        1.7795910835266113,
        1.7907401323318481,
        1.8002620935440063,
        1.8046512603759766,
        1.8110336065292358,
        1.8172025680541992,
        1.8274866342544556,
        1.8302626609802246,
        1.8290106058120728,
        1.8294326066970825,
        1.8305641412734985,
        1.831504225730896,
        1.833279013633728,
        1.8336783647537231,
        1.8347431421279907,
        1.8372589349746704,
        1.836246132850647,
        1.8381690979003906,
        1.8382383584976196,
        1.8379020690917969,
        1.8396116495132446,
        1.8378510475158691,
        1.8382214307785034,
        1.8372358083724976,
        1.8371933698654175,
        1.8372716903686523,
        1.8373379707336426,
        1.8380303382873535,
        1.8383245468139648,
        1.8385728597640991,
        1.8381571769714355,
        1.8384429216384888,
        1.8383492231369019,
        1.838201880455017,
        1.8379058837890625,
        1.837979793548584,
        1.8381690979003906,
        1.8388603925704956,
        1.8384138345718384,
        1.8383289575576782,
        1.8374048471450806,
        1.8376914262771606,
        1.8375123739242554,
        1.8365201950073242,
        1.8351835012435913,
        1.8344106674194336,
        1.8335041999816895,
        1.8302546739578247,
        1.8199816942214966,
        1.810020089149475,
        1.785466194152832,
        1.7531427145004272,
        1.7360725402832031,
        1.6946293115615845,
        1.6701139211654663,
        1.6460723876953125,
        1.6460208892822266,
        1.6059774160385132,
        1.6242042779922485,
        1.6443849802017212,
        1.6871614456176758,
        1.7042335271835327,
        1.7163628339767456,
        1.766142725944519,
        1.791434407234192,
        1.9120758771896362,
        1.914406180381775,
        1.8894916772842407,
        1.9474916458129883,
        1.8940092325210571,
        2.0344529151916504,
        2.115117311477661,
        2.1497995853424072,
        2.1516854763031006,
        2.1522130966186523,
        2.1515605449676514,
        2.1501903533935547,
        2.150456428527832,
        2.1498801708221436,
        2.1502859592437744,
        2.14988374710083,
        2.149653673171997,
        2.149240732192993,
        2.149432420730591,
        2.149826765060425,
        2.1499545574188232,
        2.1498959064483643,
        2.1498444080352783,
        2.1504998207092285,
        2.150177478790283,
        2.149991989135742,
        2.150306463241577,
        2.150261640548706,
        2.149488925933838,
        2.150113105773926,
        2.150716781616211,
        2.149962902069092,
        2.1498823165893555,
        2.1485116481781006,
        2.128711462020874,
        1.9504610300064087,
        1.9536691904067993,
        1.9775654077529907,
        1.9376884698867798,
        1.9667549133300781,
        1.8564815521240234,
        1.7330223321914673,
        1.579546332359314,
        1.518117904663086,
        1.4741977453231812,
        1.422827124595642,
        1.4002294540405273,
        1.3904218673706055,
        1.3900913000106812,
        1.444031834602356,
        1.4675239324569702,
        1.5416911840438843,
        1.5897345542907715,
        1.6310571432113647,
        1.674586296081543,
        1.6949933767318726,
        1.7337933778762817,
        1.7623564004898071,
        1.7806352376937866,
        1.7952629327774048,
        1.8062883615493774,
        1.8119468688964844,
        1.8138126134872437,
        1.8158737421035767,
        1.8182882070541382,
        1.8178342580795288,
        1.8222813606262207,
        1.8221012353897095,
        1.8233450651168823,
        1.823156714439392,
        1.8224176168441772,
        1.8230667114257812,
        1.8263648748397827,
        1.8263074159622192,
        1.827182412147522,
        1.8282781839370728,
        1.8288912773132324,
        1.8279919624328613,
        1.8294962644577026,
        1.829201579093933,
        1.8301929235458374,
        1.8299379348754883,
        1.8299897909164429,
        1.8295392990112305,
        1.8294873237609863,
        1.8302758932113647,
        1.8320878744125366,
        1.8298110961914062,
        1.8310670852661133,
        1.8308696746826172,
        1.8260269165039062,
        1.8259438276290894,
        1.8258494138717651,
        1.824830412864685,
        1.8229831457138062,
        1.8238540887832642,
        1.8196779489517212,
        1.8140298128128052,
        1.8022395372390747,
        1.788572907447815,
        1.7668460607528687,
        1.7516652345657349,
        1.7263633012771606,
        1.708264708518982,
        1.6863036155700684,
        1.671127438545227,
        1.6650587320327759,
        1.6582704782485962,
        1.6529375314712524,
        1.6496371030807495,
        1.648121953010559,
        1.645090103149414,
        1.6364755630493164,
        1.6366132497787476,
        1.6360125541687012,
        1.6370782852172852,
        1.6367100477218628,
        1.6380010843276978,
        1.6364988088607788,
        1.6340621709823608,
        1.633182168006897,
        1.6304302215576172,
        1.6344836950302124,
        1.6347516775131226,
        1.6331806182861328,
        1.630971074104309,
        1.629356861114502,
        1.629820704460144,
        1.6239399909973145,
        1.620460033416748,
        1.6167041063308716,
        1.6096700429916382,
        1.6032389402389526,
        1.5962085723876953,
        1.5931771993637085,
        1.589883804321289,
        1.5849112272262573,
        1.582332968711853,
        1.5758987665176392,
        1.5673373937606812,
        1.5524331331253052,
        1.5218435525894165,
        1.5032358169555664,
        1.4974125623703003,
        1.5043225288391113,
        1.5219131708145142,
        1.5457676649093628,
        1.5489320755004883,
        1.5938096046447754,
        1.6212762594223022,
        1.6103214025497437,
        1.6411288976669312,
        1.6703320741653442,
        1.70559561252594,
        1.8615450859069824,
        1.8673667907714844,
        1.8734804391860962,
        1.9337247610092163,
        1.974596619606018,
        2.004749059677124,
        2.079210042953491,
        2.129504919052124,
        2.1450960636138916,
        2.1441810131073,
        2.144465684890747,
        2.1428189277648926,
        2.1420767307281494,
        2.1422135829925537,
        2.1428401470184326,
        2.142880916595459,
        2.142604112625122,
        2.142202138900757,
        2.1420366764068604,
        2.142014503479004,
        2.1435627937316895,
        2.142829418182373,
        2.143038749694824,
        2.1429827213287354,
        2.14288592338562,
        2.143986701965332,
        2.143059253692627,
        2.142836809158325,
        2.141211748123169,
        2.1426961421966553,
        2.1431405544281006,
        2.1423866748809814,
        2.1429054737091064,
        2.142155885696411,
        2.1419880390167236,
        2.1441218852996826,
        2.1063921451568604,
        1.9943894147872925,
        1.9758433103561401,
        1.9425863027572632,
        1.905072569847107,
        1.9023008346557617,
        1.9139422178268433,
        1.9130390882492065,
        1.8089605569839478,
        1.780106544494629,
        1.7121182680130005,
        1.6660646200180054,
        1.6320304870605469,
        1.6343965530395508,
        1.6304770708084106,
        1.6733341217041016,
        1.694041132926941,
        1.7156481742858887,
        1.7286304235458374,
        1.7485413551330566,
        1.7615512609481812,
        1.7783169746398926,
        1.7870354652404785,
        1.7983918190002441,
        1.8098777532577515,
        1.8143095970153809,
        1.819177269935608,
        1.8213129043579102,
        1.8232229948043823,
        1.8262295722961426,
        1.8294177055358887,
        1.831600308418274,
        1.8340562582015991,
        1.8354142904281616,
        1.8350028991699219,
        1.8336763381958008,
        1.8320938348770142,
        1.8327239751815796,
        1.8297699689865112,
        1.8298277854919434,
        1.8241904973983765,
        1.8284783363342285,
        1.8271437883377075,
        1.8290505409240723,
        1.8277544975280762,
        1.8247445821762085,
        1.824019432067871,
        1.8240089416503906,
        1.824271321296692,
        1.8229575157165527,
        1.8228020668029785,
        1.8226593732833862,
        1.8114362955093384,
        1.7902048826217651,
        1.7450052499771118,
        1.7237149477005005,
        1.6745787858963013,
        1.637263298034668,
        1.58722984790802,
        1.5448318719863892,
        1.529433250427246,
        1.5626945495605469,
        1.5827611684799194,
        1.6412397623062134,
        1.6602760553359985,
        1.6581645011901855,
        1.6567827463150024,
        1.6925559043884277,
        1.7226015329360962,
        1.8412190675735474,
        1.905479907989502,
        1.9290353059768677,
        1.9738041162490845,
        1.9843066930770874,
        1.9933629035949707,
        1.9182208776474,
        1.9463926553726196,
        2.0049026012420654,
        2.1489486694335938,
        2.1503734588623047,
        2.149920701980591,
        2.150078535079956,
        2.1508610248565674,
        2.1509511470794678,
        2.1502323150634766,
        2.150561809539795,
        2.1505963802337646,
        2.150233030319214,
        2.150404214859009,
        2.149317979812622,
        2.1503512859344482,
        2.1489853858947754,
        2.148841142654419,
        2.1499204635620117,
        2.149460554122925,
        2.1498262882232666,
        2.150420904159546,
        2.151233434677124,
        2.1502513885498047,
        2.1519968509674072,
        2.1519691944122314,
        2.1518900394439697,
        2.1513149738311768,
        2.1488022804260254,
        2.149106502532959,
        2.1495540142059326,
        2.149641513824463,
        2.1492624282836914,
        2.1492316722869873,
        2.148355722427368,
        2.1478543281555176,
        2.147953748703003,
        2.148730993270874,
        2.148283004760742,
        2.148613452911377,
        2.148548126220703,
        2.1494147777557373,
        2.1495208740234375,
        2.148813009262085,
        2.1490767002105713,
        2.1489503383636475,
        2.148515224456787,
        2.147054433822632,
        2.1483523845672607,
        2.1484286785125732
    ],
    "average_depth_range_per_image": [
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.6947021484375,
        3.6800537109375,
        3.664794921875,
        3.1387939453125,
        3.6531982421875,
        3.634033203125,
        3.5091552734375,
        2.82318115234375,
        2.779052734375,
        3.3853759765625,
        2.732421875,
        3.4613037109375,
        3.0484619140625,
        2.742431640625,
        3.1129150390625,
        2.517578125,
        2.4246826171875,
        2.4476318359375,
        2.1427001953125,
        2.23583984375,
        2.18212890625,
        2.3485107421875,
        2.3677978515625,
        2.484619140625,
        3.032958984375,
        2.8623046875,
        2.79638671875,
        2.7913818359375,
        2.798828125,
        2.7774658203125,
        3.6514892578125,
        3.7528076171875,
        3.7835693359375,
        3.7156982421875,
        3.7615966796875,
        3.710205078125,
        3.716552734375,
        3.7220458984375,
        3.470458984375,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.8172607421875,
        3.6981201171875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.8294677734375,
        2.806640625,
        2.8026123046875,
        2.700927734375,
        2.509033203125,
        2.212646484375,
        3.982421875,
        2.6080322265625,
        3.982421875,
        3.7681884765625,
        3.71142578125,
        3.723388671875,
        3.731689453125,
        3.6798095703125,
        3.6451416015625,
        3.6484375,
        3.6431884765625,
        3.6275634765625,
        3.6654052734375,
        3.6661376953125,
        3.6514892578125,
        3.71533203125,
        3.6375732421875,
        3.6468505859375,
        3.6658935546875,
        3.652099609375,
        3.68701171875,
        3.7418212890625,
        3.789794921875,
        3.683349609375,
        3.982421875,
        3.982421875,
        2.137451171875,
        2.5250244140625,
        2.7110595703125,
        2.774169921875,
        2.7379150390625,
        2.831787109375,
        2.8624267578125,
        2.788818359375,
        2.6639404296875,
        3.1875,
        2.89208984375,
        3.88671875,
        3.64697265625,
        3.574951171875,
        3.623779296875,
        3.536865234375,
        3.5693359375,
        2.125244140625,
        2.3751220703125,
        2.4256591796875,
        2.75048828125,
        2.818359375,
        2.796875,
        3.6114501953125,
        3.593505859375,
        2.4111328125,
        2.453125,
        2.48828125,
        3.982421875,
        2.49609375,
        2.5078125,
        2.5107421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.4638671875,
        3.4921875,
        3.21923828125,
        3.229248046875,
        3.982421875,
        3.505126953125,
        3.509521484375,
        3.51416015625,
        3.982421875,
        3.477783203125,
        3.36376953125,
        3.3662109375,
        2.45751953125,
        2.46435546875,
        2.40966796875,
        2.39306640625,
        2.353515625,
        2.3955078125,
        2.3759765625,
        2.33837890625,
        2.400390625,
        2.3486328125,
        2.48291015625,
        2.21142578125,
        2.22119140625,
        2.193359375,
        2.1201171875,
        2.212890625,
        2.09375,
        2.04296875,
        2.0361328125,
        1.99755859375,
        1.94921875,
        1.9375,
        1.892578125,
        1.86328125,
        1.869140625,
        1.83203125,
        1.7724609375,
        1.7763671875,
        2.4912109375,
        2.41015625,
        3.919921875,
        2.4873046875,
        2.369140625,
        2.2998046875,
        2.4853515625,
        2.3408203125,
        3.978515625,
        2.337890625,
        2.3466796875,
        2.359375,
        2.345703125,
        2.345703125,
        2.33984375,
        2.4560546875,
        2.43359375,
        3.966796875,
        3.978515625,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.97265625,
        3.978515625,
        3.970703125,
        3.978515625,
        3.978515625,
        2.46875,
        2.4384765625,
        2.455078125,
        2.48046875,
        2.4580078125,
        2.462890625,
        2.4521484375,
        2.4482421875,
        2.455078125,
        2.4521484375,
        2.4375,
        2.43359375,
        2.4296875,
        2.435546875,
        2.435546875,
        2.455078125,
        2.439453125,
        2.439453125,
        2.439453125,
        2.4404296875,
        2.443359375,
        2.42578125,
        2.431640625,
        2.4365234375,
        2.427734375,
        2.4296875,
        2.4267578125,
        2.4296875,
        2.43359375,
        2.44140625,
        2.4345703125,
        2.4375,
        2.443359375,
        2.4423828125,
        2.43359375,
        2.435546875,
        2.4384765625,
        2.4521484375,
        2.4521484375,
        2.44921875,
        2.4501953125,
        2.43359375,
        2.4423828125,
        2.453125,
        2.4560546875,
        2.4482421875,
        2.47265625,
        2.494140625,
        3.974609375,
        3.978515625,
        3.974609375,
        3.982421875,
        3.98046875,
        3.982421875,
        3.98046875,
        3.982421875,
        2.4892578125,
        3.978515625,
        3.982421875,
        2.427734375,
        2.365234375,
        2.3837890625,
        2.3603515625,
        2.3935546875,
        2.2041015625,
        2.197265625,
        2.2294921875,
        2.2568359375,
        1.591796875,
        1.6630859375,
        1.587890625,
        1.5810546875,
        1.580078125,
        1.5751953125,
        1.58203125,
        1.5859375,
        1.5859375,
        1.58984375,
        2.466796875,
        2.552734375,
        3.978515625,
        2.5771484375,
        2.5712890625,
        2.587890625,
        2.64453125,
        2.630859375,
        2.6064453125,
        2.6708984375,
        2.689453125,
        3.982421875,
        2.705078125,
        3.982421875,
        2.765625,
        2.8369140625,
        3.96875,
        2.87890625,
        2.7724609375,
        2.76171875,
        2.794921875,
        2.8408203125,
        2.98974609375,
        2.96923828125,
        2.9111328125,
        2.8837890625,
        2.8779296875,
        3.97265625,
        3.9609375,
        3.0908203125,
        3.068359375,
        3.01025390625,
        3.064453125,
        3.150390625,
        3.98046875,
        2.9248046875,
        2.34130859375,
        2.4326171875,
        2.2958984375,
        2.3203125,
        2.3212890625,
        2.3828125,
        2.4189453125,
        2.4697265625,
        2.48095703125,
        2.529296875,
        2.625244140625,
        2.556884765625,
        2.556396484375,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.5068359375,
        3.978515625,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.98046875,
        2.5029296875,
        2.5078125,
        2.5009765625,
        2.5048828125,
        2.4892578125,
        2.5068359375,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.978515625,
        3.982421875,
        2.5107421875,
        2.494140625,
        3.982421875,
        2.5009765625,
        2.5087890625,
        2.498046875,
        2.5009765625,
        2.5078125,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.5078125,
        3.982421875,
        2.51171875,
        3.982421875,
        2.509765625,
        2.505859375,
        3.982421875,
        2.50390625,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.50390625,
        2.501953125,
        3.98046875,
        3.982421875,
        2.5068359375,
        2.51171875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        2.5126953125,
        2.5087890625,
        2.5,
        2.4921875,
        2.501953125,
        2.50390625,
        2.4892578125,
        2.4951171875,
        2.486328125,
        2.5,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        2.41015625,
        3.287109375,
        3.3935546875,
        3.09423828125,
        3.21435546875,
        3.16259765625,
        3.95703125,
        3.3818359375,
        3.98046875,
        3.38720703125,
        3.38623046875,
        3.23583984375,
        3.29443359375,
        3.21826171875,
        3.18017578125,
        3.11083984375,
        3.17138671875,
        3.115234375,
        3.15869140625,
        3.1181640625,
        3.02978515625,
        2.93359375,
        2.94775390625,
        2.72607421875,
        2.771484375,
        2.265625,
        1.9833984375,
        1.9375,
        1.98828125,
        2.3349609375,
        2.47607421875,
        1.916015625,
        1.9423828125,
        1.8955078125,
        1.9345703125,
        1.8525390625,
        1.9580078125,
        1.8857421875,
        2.1923828125,
        2.517578125,
        2.431640625,
        2.6015625,
        2.43359375,
        2.4970703125,
        2.4384765625,
        2.4140625,
        2.3681640625,
        2.3720703125,
        2.408203125,
        2.43359375,
        2.4541015625,
        2.408203125,
        2.4599609375,
        3.978515625,
        2.5009765625,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.939453125,
        3.931640625,
        2.4140625,
        3.9609375,
        2.4912109375,
        2.3408203125,
        2.3154296875,
        2.3330078125,
        2.3271484375,
        2.2294921875,
        2.2666015625,
        2.3447265625,
        2.220703125,
        1.6826171875,
        1.7568359375,
        1.7685546875,
        1.9296875,
        1.9267578125,
        1.9677734375,
        1.9462890625,
        1.9521484375,
        1.9560546875,
        2.11328125,
        2.11279296875,
        2.09228515625,
        1.98681640625,
        1.98291015625,
        1.9228515625,
        2.00341796875,
        1.9541015625,
        2.0244140625,
        2.0751953125,
        2.08349609375,
        2.24951171875,
        2.16650390625,
        2.22900390625,
        2.2939453125,
        2.3017578125,
        2.296875,
        2.59619140625,
        2.681640625,
        2.35888671875,
        3.29052734375,
        3.982421875,
        2.8955078125,
        2.79638671875,
        2.77294921875,
        2.7548828125,
        2.82421875,
        2.79638671875,
        2.4501953125,
        2.4951171875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        2.5087890625,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.4990234375,
        3.982421875,
        3.982421875,
        2.5087890625,
        3.98046875,
        3.982421875,
        3.982421875,
        2.5078125,
        2.50390625,
        2.4951171875,
        2.5009765625,
        3.982421875,
        2.509765625,
        3.982421875,
        2.51171875,
        3.982421875,
        2.4970703125,
        2.4892578125,
        2.49609375,
        2.501953125,
        3.98046875,
        2.4990234375,
        2.5078125,
        2.5087890625,
        2.505859375,
        2.4931640625,
        3.982421875,
        2.5068359375,
        2.4951171875,
        3.982421875,
        2.501953125,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        2.5087890625,
        2.501953125,
        2.4892578125,
        2.509765625,
        2.5107421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.4775390625,
        2.4697265625,
        3.21044921875,
        3.07080078125,
        2.84423828125,
        3.03759765625,
        3.0625,
        3.201171875,
        3.13330078125,
        3.2216796875,
        3.31396484375,
        3.978515625,
        3.25,
        3.1396484375,
        3.087890625,
        3.11572265625,
        3.06396484375,
        2.99072265625,
        3.0068359375,
        3.892578125,
        2.85791015625,
        2.89111328125,
        3.04541015625,
        2.751953125,
        2.736328125,
        1.9580078125,
        1.921875,
        1.875,
        1.904296875,
        2.0576171875,
        1.9384765625,
        2.154296875,
        1.82421875,
        1.8095703125,
        1.8232421875,
        1.8046875,
        1.818359375,
        1.8681640625,
        2.01953125,
        2.0029296875,
        2.19140625,
        2.3798828125,
        2.3583984375,
        2.4052734375,
        2.361328125,
        2.3759765625,
        2.451171875,
        2.3115234375,
        2.2958984375,
        2.3837890625,
        2.3125,
        2.3515625,
        2.3994140625,
        2.435546875,
        2.390625,
        2.44921875,
        2.4970703125,
        2.494140625,
        2.48046875,
        3.978515625,
        2.50390625,
        3.982421875,
        2.4775390625,
        2.4873046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.50390625,
        3.978515625,
        2.482421875,
        3.982421875,
        3.982421875,
        2.4873046875,
        3.95703125,
        2.5078125,
        3.935546875,
        2.4248046875,
        2.4130859375,
        2.4150390625,
        2.466796875,
        2.462890625,
        2.4462890625,
        2.4482421875,
        2.4345703125,
        2.474609375,
        2.4599609375,
        2.4970703125,
        2.5458984375,
        2.517578125,
        2.57421875,
        2.572265625,
        2.6767578125,
        3.98046875,
        3.982421875,
        2.634765625,
        2.6953125,
        2.6787109375,
        2.6982421875,
        2.78369140625,
        3.982421875,
        2.0029296875,
        1.982421875,
        2.08447265625,
        2.0947265625,
        1.9072265625,
        1.8046875,
        1.8564453125,
        1.873046875,
        1.9462890625,
        2.087890625,
        2.04443359375,
        2.07470703125,
        2.1455078125,
        2.1748046875,
        2.22900390625,
        2.28955078125,
        2.2998046875,
        2.30810546875,
        2.37548828125,
        2.39013671875,
        2.4091796875,
        2.474609375,
        2.4560546875,
        2.8232421875,
        3.37451171875,
        3.39453125,
        3.974609375,
        3.192626953125,
        2.953125,
        2.83837890625,
        3.320556640625,
        2.67333984375,
        2.8935546875,
        2.4931640625,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.5087890625,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.5048828125,
        2.5107421875,
        2.509765625,
        2.5068359375,
        2.509765625,
        3.982421875,
        2.509765625,
        3.982421875,
        3.978515625,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        2.4990234375,
        3.982421875,
        3.982421875,
        2.5087890625,
        2.51171875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        2.5009765625,
        3.98046875,
        2.509765625,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.5087890625,
        2.5048828125,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.4775390625,
        2.4794921875,
        3.98046875,
        3.982421875,
        2.4755859375,
        2.494140625,
        2.7294921875,
        2.87646484375,
        3.0517578125,
        3.2919921875,
        3.1552734375,
        3.2783203125,
        3.185546875,
        3.21826171875,
        3.1376953125,
        3.1162109375,
        3.0166015625,
        3.1015625,
        2.8232421875,
        3.078125,
        2.931640625,
        2.35693359375,
        2.013671875,
        2.0390625,
        2.0048828125,
        2.0,
        1.947265625,
        1.9716796875,
        1.9189453125,
        1.96484375,
        1.8515625,
        1.892578125,
        1.810546875,
        1.8515625,
        1.720703125,
        1.7353515625,
        1.767578125,
        1.7548828125,
        1.9267578125,
        2.60546875,
        2.45703125,
        2.3173828125,
        2.357421875,
        2.3017578125,
        2.2861328125,
        2.2626953125,
        2.4013671875,
        2.2822265625,
        2.3427734375,
        2.33984375,
        2.39453125,
        2.4072265625,
        2.4560546875,
        2.4873046875,
        2.4873046875,
        2.5107421875,
        2.4892578125,
        2.501953125,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.978515625,
        3.982421875,
        3.951171875,
        3.982421875,
        2.4970703125,
        2.3955078125,
        2.4140625,
        2.37109375,
        2.3974609375,
        2.353515625,
        2.4443359375,
        2.2431640625,
        2.2900390625,
        2.2900390625,
        2.470703125,
        1.9599609375,
        1.5947265625,
        1.6337890625,
        1.646484375,
        1.681640625,
        1.69140625,
        1.748046875,
        1.779296875,
        1.8095703125,
        1.8720703125,
        1.888671875,
        1.98486328125,
        2.03466796875,
        2.00390625,
        2.05908203125,
        2.1611328125,
        2.1484375,
        2.2392578125,
        2.2138671875,
        2.26025390625,
        2.25732421875,
        2.29931640625,
        2.28857421875,
        2.24755859375,
        2.21728515625,
        2.28173828125,
        2.267578125,
        2.3466796875,
        2.314453125,
        2.3623046875,
        2.3525390625,
        2.39990234375,
        2.3994140625,
        2.4248046875,
        2.4453125,
        3.18408203125,
        3.182861328125,
        3.37548828125,
        3.39697265625,
        2.4755859375,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.51171875,
        2.51171875,
        2.505859375,
        2.5009765625,
        2.505859375,
        3.98046875,
        2.5068359375,
        3.98046875,
        3.982421875,
        2.50390625,
        2.498046875,
        2.5009765625,
        2.494140625,
        2.498046875,
        3.982421875,
        3.978515625,
        2.509765625,
        2.5087890625,
        2.5126953125,
        2.4990234375,
        2.50390625,
        2.5126953125,
        2.5,
        2.4912109375,
        2.50390625,
        2.4951171875,
        2.498046875,
        2.5,
        2.50390625,
        2.505859375,
        2.4990234375,
        2.5048828125,
        2.5029296875,
        2.4970703125,
        2.4931640625,
        2.4931640625,
        2.5078125,
        2.498046875,
        2.501953125,
        2.505859375,
        2.490234375,
        2.5,
        2.486328125,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.4658203125,
        2.435546875,
        2.46484375,
        2.96630859375,
        3.025390625,
        3.14453125,
        3.9765625,
        3.24267578125,
        3.25,
        3.35009765625,
        3.951171875,
        3.228515625,
        3.22998046875,
        3.20849609375,
        3.181640625,
        3.14990234375,
        3.1357421875,
        3.06787109375,
        2.9599609375,
        2.75390625,
        2.767578125,
        2.86181640625,
        2.6240234375,
        2.3134765625,
        2.2001953125,
        2.3056640625,
        2.2431640625,
        2.2626953125,
        2.1875,
        2.099609375,
        2.2255859375,
        1.9462890625,
        1.9814453125,
        1.85546875,
        1.8583984375,
        1.74609375,
        1.9951171875,
        2.1875,
        2.4921875,
        2.453125,
        2.630859375,
        2.4130859375,
        2.4765625,
        2.3837890625,
        2.421875,
        2.4326171875,
        2.4521484375,
        2.47265625,
        2.4736328125,
        2.482421875,
        2.4970703125,
        2.48828125,
        2.4951171875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.98046875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.4970703125,
        2.4951171875,
        2.4423828125,
        2.5087890625,
        3.978515625,
        3.9765625,
        2.361328125,
        2.4208984375,
        2.5361328125,
        2.48046875,
        2.611328125,
        2.568359375,
        2.3515625,
        2.279296875,
        2.408203125,
        2.359375,
        2.376953125,
        2.5078125,
        2.4765625,
        2.126953125,
        2.1513671875,
        2.25048828125,
        2.396484375,
        2.0556640625,
        2.11279296875,
        2.06201171875,
        2.08447265625,
        2.1240234375,
        2.177734375,
        2.1708984375,
        2.28857421875,
        2.3232421875,
        2.341796875,
        2.3349609375,
        2.369140625,
        2.41748046875,
        2.4609375,
        2.46240234375,
        2.492919921875,
        2.51904296875,
        2.4892578125,
        2.4306640625,
        2.60546875,
        2.61083984375,
        3.219970703125,
        3.185546875,
        3.2099609375,
        3.460205078125,
        3.5751953125,
        3.40185546875,
        3.982421875,
        2.509765625,
        2.50390625,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.5068359375,
        2.4970703125,
        2.5087890625,
        2.5029296875,
        2.5,
        2.4990234375,
        2.5,
        2.50390625,
        2.51171875,
        2.5078125,
        3.98046875,
        2.4931640625,
        2.4931640625,
        2.5068359375,
        2.4873046875,
        2.50390625,
        2.5048828125,
        2.5107421875,
        2.5107421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        2.5029296875,
        2.462890625,
        2.4033203125,
        3.2490234375,
        3.3740234375,
        3.361328125,
        3.326171875,
        3.4482421875,
        3.47119140625,
        3.36767578125,
        3.29931640625,
        3.35107421875,
        3.26123046875,
        3.1494140625,
        3.982421875,
        3.0390625,
        3.03271484375,
        2.1962890625,
        2.1650390625,
        2.15576171875,
        2.08447265625,
        2.16845703125,
        2.48779296875,
        2.75146484375,
        2.12353515625,
        2.064453125,
        2.04443359375,
        2.0634765625,
        1.9423828125,
        1.99658203125,
        1.89453125,
        1.90625,
        2.0166015625,
        2.2822265625,
        2.4892578125,
        2.5498046875,
        2.5029296875,
        2.494140625,
        2.5595703125,
        2.65234375,
        2.5361328125,
        2.5732421875,
        2.548828125,
        3.98046875,
        2.5283203125,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.5224609375,
        3.982421875,
        3.974609375,
        3.98046875,
        3.98046875,
        2.4443359375,
        2.4912109375,
        2.6455078125,
        2.5888671875,
        2.6318359375,
        3.962890625,
        2.7236328125,
        2.642578125,
        2.7099609375,
        2.7412109375,
        2.7724609375,
        2.71484375,
        2.87109375,
        2.7841796875,
        2.9462890625,
        2.83056640625,
        3.98046875,
        3.97265625,
        3.982421875,
        3.982421875,
        3.982421875,
        3.0634765625,
        3.98046875,
        2.4462890625,
        2.37841796875,
        2.4033203125,
        2.61962890625,
        2.41650390625,
        2.37548828125,
        2.33251953125,
        2.4462890625,
        2.39794921875,
        2.487060546875,
        2.44384765625,
        2.467041015625,
        2.476318359375,
        2.48828125,
        2.448974609375,
        2.468017578125,
        2.607666015625,
        2.77783203125,
        3.206298828125,
        3.69287109375,
        3.54052734375,
        3.6689453125,
        3.534423828125,
        3.642333984375,
        3.666259765625,
        3.5224609375,
        3.982421875,
        3.51416015625,
        3.982421875,
        3.526611328125,
        2.577392578125,
        2.653076171875,
        3.29931640625,
        2.5439453125,
        2.4951171875,
        2.4814453125,
        2.478515625,
        2.494140625,
        2.4853515625,
        2.5048828125,
        2.5009765625,
        2.4951171875,
        2.4794921875,
        2.484375,
        2.4970703125,
        2.48046875,
        2.4970703125,
        2.4912109375,
        2.486328125,
        2.4951171875,
        2.498046875,
        2.490234375,
        2.4931640625,
        2.49609375,
        2.50390625,
        2.5,
        3.30615234375,
        2.4228515625,
        2.4609375,
        3.02783203125,
        2.61767578125,
        2.78466796875,
        3.982421875,
        3.326171875,
        3.43115234375,
        3.40478515625,
        3.978515625,
        3.943359375,
        3.459228515625,
        3.37255859375,
        3.39111328125,
        3.25537109375,
        3.27294921875,
        3.21044921875,
        3.17822265625,
        3.01025390625,
        3.19970703125,
        3.23291015625,
        3.14111328125,
        2.7421875,
        2.27099609375,
        2.28369140625,
        3.1484375,
        2.35693359375,
        2.6640625,
        2.162109375,
        2.18408203125,
        2.103515625,
        2.1201171875,
        2.095703125,
        2.498046875,
        2.05908203125,
        2.0927734375,
        2.0537109375,
        2.017578125,
        2.0126953125,
        1.9873046875,
        1.884765625,
        1.93359375,
        1.9033203125,
        2.095703125,
        2.3896484375,
        2.630859375,
        2.55078125,
        2.48828125,
        2.546875,
        2.5263671875,
        2.486328125,
        2.578125,
        2.5537109375,
        2.5537109375,
        2.5498046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.4580078125,
        2.48046875,
        2.4951171875,
        3.982421875,
        2.486328125,
        2.4921875,
        2.4267578125,
        2.3818359375,
        2.572265625,
        3.947265625,
        3.9375,
        3.943359375,
        2.5986328125,
        2.611328125,
        2.7568359375,
        2.775390625,
        2.8232421875,
        2.869140625,
        2.8681640625,
        2.9091796875,
        2.947265625,
        3.900390625,
        2.8955078125,
        2.9482421875,
        3.0439453125,
        3.947265625,
        3.0498046875,
        2.958984375,
        3.19384765625,
        3.06201171875,
        2.59033203125,
        2.55419921875,
        2.8203125,
        2.83056640625,
        2.43603515625,
        2.3779296875,
        2.41455078125,
        2.416015625,
        2.38134765625,
        2.400634765625,
        2.3681640625,
        2.4248046875,
        2.48828125,
        2.408447265625,
        2.47216796875,
        2.615234375,
        2.521728515625,
        3.380126953125,
        3.5810546875,
        3.514404296875,
        3.491455078125,
        3.498779296875,
        3.489501953125,
        3.458251953125,
        3.487060546875,
        3.507080078125,
        3.98046875,
        3.411376953125,
        3.011962890625,
        3.982421875,
        3.34375,
        2.5068359375,
        2.49609375,
        2.4794921875,
        2.4921875,
        2.47265625,
        2.490234375,
        2.4912109375,
        2.49609375,
        2.4921875,
        2.48046875,
        2.50390625,
        3.982421875,
        3.982421875,
        2.509765625,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        2.51171875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.17626953125,
        3.162109375,
        2.6552734375,
        2.4404296875,
        2.7216796875,
        2.27197265625,
        2.49365234375,
        3.11181640625,
        3.2509765625,
        3.35205078125,
        3.9375,
        3.30810546875,
        3.2919921875,
        3.23974609375,
        3.27587890625,
        3.91015625,
        3.21337890625,
        3.9765625,
        3.91015625,
        2.1923828125,
        2.14990234375,
        2.162109375,
        2.1025390625,
        2.10986328125,
        2.03369140625,
        2.06201171875,
        1.98291015625,
        1.98681640625,
        2.0009765625,
        2.05517578125,
        1.9794921875,
        1.99755859375,
        1.9443359375,
        1.93603515625,
        1.890625,
        1.8876953125,
        1.8037109375,
        2.083984375,
        1.888671875,
        2.6015625,
        2.552734375,
        2.435546875,
        2.4892578125,
        2.4951171875,
        2.544921875,
        2.525390625,
        2.537109375,
        2.5615234375,
        2.5390625,
        2.5126953125,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.5087890625,
        3.982421875,
        3.974609375,
        3.982421875,
        2.5537109375,
        2.466796875,
        2.4443359375,
        2.4638671875,
        2.458984375,
        2.50390625,
        2.50390625,
        2.521484375,
        2.5537109375,
        2.5390625,
        3.982421875,
        2.6171875,
        2.6005859375,
        2.63671875,
        2.60546875,
        2.7060546875,
        2.615234375,
        2.48828125,
        2.4482421875,
        1.99560546875,
        2.115234375,
        2.16064453125,
        2.177734375,
        2.21923828125,
        2.26318359375,
        2.26953125,
        2.30859375,
        2.24462890625,
        2.3134765625,
        2.28564453125,
        2.41162109375,
        2.40869140625,
        2.52099609375,
        2.48388671875,
        2.592041015625,
        2.63134765625,
        2.52490234375,
        2.496337890625,
        2.531494140625,
        2.985107421875,
        3.552734375,
        3.48828125,
        3.4384765625,
        2.51171875,
        2.5,
        2.490234375,
        2.484375,
        2.4921875,
        2.4990234375,
        2.5,
        2.5,
        2.4931640625,
        2.4990234375,
        2.4931640625,
        2.4794921875,
        2.4814453125,
        2.50390625,
        2.4931640625,
        2.4873046875,
        2.4892578125,
        2.4873046875,
        2.4951171875,
        2.5009765625,
        2.4912109375,
        2.490234375,
        2.501953125,
        2.509765625,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.509765625,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.5126953125,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.978515625,
        3.982421875,
        3.98046875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.9765625,
        2.490234375,
        3.08544921875,
        3.9765625,
        3.09326171875,
        3.21630859375,
        3.28271484375,
        2.95751953125,
        2.8134765625,
        2.763671875,
        2.9140625,
        3.2177734375,
        3.1689453125,
        3.064453125,
        3.1796875,
        3.15673828125,
        3.08740234375,
        3.02880859375,
        3.97265625,
        2.81689453125,
        2.48388671875,
        2.4541015625,
        2.00537109375,
        1.99462890625,
        1.99853515625,
        1.97998046875,
        1.9677734375,
        1.94677734375,
        1.96044921875,
        1.9169921875,
        1.9375,
        1.8876953125,
        2.541015625,
        2.4619140625,
        2.3818359375,
        2.3662109375,
        2.4638671875,
        2.451171875,
        2.4912109375,
        2.4013671875,
        2.4580078125,
        2.46875,
        2.6025390625,
        3.978515625,
        2.5869140625,
        3.982421875,
        2.501953125,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.978515625,
        3.982421875,
        2.4814453125,
        2.404296875,
        2.3681640625,
        2.328125,
        2.482421875,
        2.4580078125,
        2.3408203125,
        1.7587890625,
        1.642578125,
        1.8349609375,
        1.6962890625,
        1.71484375,
        1.7685546875,
        1.759765625,
        1.818359375,
        1.841796875,
        1.884765625,
        1.9150390625,
        1.9501953125,
        1.96875,
        1.986328125,
        1.99169921875,
        2.02001953125,
        2.02685546875,
        2.0791015625,
        2.12109375,
        2.169921875,
        2.17724609375,
        2.23046875,
        2.32373046875,
        2.30126953125,
        2.43994140625,
        2.39013671875,
        2.41748046875,
        2.48193359375,
        2.40283203125,
        2.455078125,
        2.412109375,
        2.457763671875,
        2.46142578125,
        2.528564453125,
        3.01025390625,
        3.46826171875,
        3.484375,
        3.466796875,
        3.409912109375,
        2.562255859375,
        2.44189453125,
        3.472900390625,
        3.541015625,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.51171875,
        3.982421875,
        3.982421875,
        3.978515625,
        3.982421875,
        2.5107421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.5048828125,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.470703125,
        2.4599609375,
        3.3203125,
        3.1552734375,
        3.203125,
        3.3193359375,
        3.431640625,
        3.417724609375,
        3.4921875,
        3.496826171875,
        3.9765625,
        3.45556640625,
        3.389892578125,
        3.404296875,
        3.279296875,
        3.927734375,
        2.96923828125,
        2.71337890625,
        3.18603515625,
        3.0361328125,
        2.77001953125,
        2.48583984375,
        2.16162109375,
        2.19189453125,
        2.15380859375,
        2.15966796875,
        2.3447265625,
        2.85400390625,
        2.12109375,
        2.091796875,
        2.11767578125,
        2.078125,
        2.01318359375,
        2.0283203125,
        1.98388671875,
        1.9873046875,
        1.896484375,
        1.93359375,
        1.9130859375,
        2.3779296875,
        2.22265625,
        3.982421875,
        2.5888671875,
        2.50390625,
        3.982421875,
        2.599609375,
        2.609375,
        2.63671875,
        2.59765625,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.4716796875,
        2.4912109375,
        3.9765625,
        2.5009765625,
        2.474609375,
        2.4853515625,
        2.4365234375,
        2.552734375,
        2.5302734375,
        2.5244140625,
        2.6298828125,
        2.6884765625,
        2.5615234375,
        3.982421875,
        2.4560546875,
        2.3271484375,
        2.4482421875,
        2.83984375,
        2.4794921875,
        2.35888671875,
        2.021484375,
        2.04638671875,
        2.068359375,
        2.1044921875,
        2.12744140625,
        2.21533203125,
        2.18359375,
        2.21923828125,
        2.21044921875,
        2.34228515625,
        2.33154296875,
        2.38818359375,
        2.39453125,
        2.44970703125,
        2.44873046875,
        2.4970703125,
        2.509521484375,
        2.5263671875,
        2.507080078125,
        2.55078125,
        2.537353515625,
        3.001953125,
        3.469482421875,
        3.6181640625,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.5126953125,
        2.5126953125,
        2.51171875,
        2.50390625,
        2.5107421875,
        3.982421875,
        2.5078125,
        2.5078125,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.509765625,
        2.505859375,
        2.501953125,
        2.5068359375,
        2.5078125,
        2.4970703125,
        2.5029296875,
        2.5,
        2.5029296875,
        2.5068359375,
        2.5029296875,
        2.5078125,
        2.5029296875,
        2.5009765625,
        2.4912109375,
        2.5009765625,
        2.505859375,
        2.4931640625,
        2.4931640625,
        2.5087890625,
        2.498046875,
        2.4892578125,
        2.50390625,
        2.5009765625,
        2.505859375,
        2.5,
        2.50390625,
        2.4970703125,
        2.490234375,
        2.5048828125,
        2.505859375,
        2.4990234375,
        2.51171875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.509765625,
        2.490234375,
        2.4619140625,
        3.98046875,
        2.453125,
        3.01611328125,
        2.72119140625,
        2.18408203125,
        2.5185546875,
        3.1396484375,
        3.11328125,
        3.18505859375,
        3.982421875,
        3.978515625,
        3.22216796875,
        3.04052734375,
        2.99072265625,
        3.103515625,
        3.10791015625,
        3.0947265625,
        3.05908203125,
        2.4306640625,
        2.48974609375,
        2.68994140625,
        2.88818359375,
        1.97900390625,
        2.296875,
        1.927734375,
        1.9501953125,
        1.8896484375,
        2.404296875,
        2.609375,
        2.392578125,
        1.845703125,
        1.8671875,
        1.8037109375,
        1.9404296875,
        1.9638671875,
        2.560546875,
        2.4404296875,
        2.4716796875,
        2.5625,
        2.4912109375,
        3.982421875,
        3.982421875,
        3.982421875,
        2.521484375,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.978515625,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.435546875,
        2.498046875,
        3.974609375,
        2.494140625,
        2.443359375,
        2.341796875,
        2.46484375,
        2.4306640625,
        2.4072265625,
        2.404296875,
        3.982421875,
        2.3251953125,
        2.654296875,
        2.5302734375,
        2.2783203125,
        2.46484375,
        2.396484375,
        2.232421875,
        2.3203125,
        1.9541015625,
        1.984375,
        2.01123046875,
        2.08984375,
        2.1025390625,
        2.09130859375,
        2.11572265625,
        2.1494140625,
        2.16552734375,
        2.33447265625,
        2.208984375,
        2.22802734375,
        2.25390625,
        2.27001953125,
        2.3359375,
        2.330078125,
        2.32861328125,
        2.37548828125,
        2.38330078125,
        2.43896484375,
        2.4482421875,
        2.512939453125,
        2.524169921875,
        2.537841796875,
        3.43359375,
        3.539794921875,
        3.540283203125,
        3.564697265625,
        3.586181640625,
        3.60009765625,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.51171875,
        3.982421875,
        2.5107421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.5126953125,
        2.5078125,
        2.5048828125,
        3.982421875,
        2.5029296875,
        2.5009765625,
        2.50390625,
        2.498046875,
        2.50390625,
        3.982421875,
        3.982421875,
        3.982421875,
        2.5029296875,
        2.5068359375,
        2.5087890625,
        3.982421875,
        2.505859375,
        2.5068359375,
        2.5009765625,
        2.494140625,
        2.50390625,
        2.4970703125,
        2.5029296875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.5078125,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.98046875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.0732421875,
        3.0888671875,
        2.46484375,
        2.5,
        2.990234375,
        3.00390625,
        2.73193359375,
        2.1513671875,
        2.9228515625,
        2.962890625,
        3.1796875,
        2.78759765625,
        2.39892578125,
        2.21826171875,
        2.1572265625,
        2.1484375,
        2.123046875,
        2.0576171875,
        2.05126953125,
        2.107421875,
        2.13525390625,
        2.033203125,
        2.1025390625,
        1.978515625,
        1.9765625,
        1.974609375,
        1.98779296875,
        1.9794921875,
        1.884765625,
        1.9453125,
        2.474609375,
        1.80078125,
        3.982421875,
        2.5498046875,
        2.669921875,
        3.982421875,
        3.982421875,
        2.6455078125,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.4560546875,
        2.51953125,
        3.955078125,
        2.5966796875,
        2.626953125,
        2.6044921875,
        2.5107421875,
        2.556640625,
        2.6357421875,
        2.6005859375,
        2.7236328125,
        2.708984375,
        2.8154296875,
        3.982421875,
        3.98046875,
        2.8310546875,
        2.548828125,
        2.4521484375,
        3.9765625,
        2.640625,
        2.119140625,
        2.1962890625,
        2.16259765625,
        2.1982421875,
        2.208984375,
        2.38232421875,
        2.3798828125,
        2.39404296875,
        2.41748046875,
        2.4541015625,
        2.36962890625,
        2.373046875,
        2.37646484375,
        2.42529296875,
        2.43603515625,
        2.47509765625,
        2.449951171875,
        2.498046875,
        2.479736328125,
        2.51416015625,
        3.035888671875,
        3.532470703125,
        3.59423828125,
        3.617431640625,
        3.613037109375,
        3.584716796875,
        3.97265625,
        3.47216796875,
        3.63037109375,
        3.552490234375,
        2.835205078125,
        2.582275390625,
        3.333984375,
        3.453369140625,
        3.46630859375,
        2.5,
        2.5078125,
        2.51171875,
        2.5048828125,
        2.5068359375,
        2.5126953125,
        2.49609375,
        2.5078125,
        2.4951171875,
        2.4970703125,
        2.5078125,
        2.5078125,
        2.5107421875,
        3.982421875,
        2.5078125,
        3.982421875,
        2.5107421875,
        3.982421875,
        2.50390625,
        3.982421875,
        2.51171875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        2.4990234375,
        3.982421875,
        2.5009765625,
        3.98046875,
        3.982421875,
        2.509765625,
        2.509765625,
        3.982421875,
        2.5126953125,
        3.98046875,
        3.982421875,
        2.509765625,
        2.4951171875,
        2.50390625,
        2.4990234375,
        2.5048828125,
        2.4931640625,
        2.5029296875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.51171875,
        3.982421875,
        3.982421875,
        2.501953125,
        3.982421875,
        2.4833984375,
        2.4599609375,
        3.1103515625,
        2.9365234375,
        3.19677734375,
        3.09716796875,
        3.25146484375,
        3.17822265625,
        3.224609375,
        3.18115234375,
        3.30712890625,
        3.2236328125,
        3.18701171875,
        3.1962890625,
        3.080078125,
        3.02392578125,
        3.935546875,
        3.107421875,
        2.8154296875,
        2.361328125,
        2.576171875,
        2.46044921875,
        1.98046875,
        2.63330078125,
        1.962890625,
        1.96533203125,
        2.0263671875,
        1.97998046875,
        1.9599609375,
        1.9853515625,
        2.13671875,
        2.51953125,
        2.443359375,
        2.390625,
        2.40234375,
        2.533203125,
        2.5341796875,
        2.486328125,
        2.5673828125,
        2.5771484375,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.505859375,
        2.5068359375,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.4912109375,
        2.4794921875,
        3.982421875,
        2.4716796875,
        2.4609375,
        2.466796875,
        2.541015625,
        2.515625,
        2.55859375,
        3.9765625,
        2.533203125,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.6435546875,
        2.373046875,
        2.23046875,
        2.130859375,
        2.330078125,
        2.29248046875,
        2.11181640625,
        2.15283203125,
        2.15576171875,
        2.16064453125,
        2.1650390625,
        2.2080078125,
        2.244140625,
        2.2744140625,
        2.28857421875,
        2.32763671875,
        2.35693359375,
        2.4072265625,
        2.392578125,
        2.47998046875,
        2.48291015625,
        2.54150390625,
        2.5107421875,
        2.54345703125,
        2.5576171875,
        2.58056640625,
        3.564697265625,
        3.982421875,
        3.982421875,
        2.509765625,
        2.501953125,
        2.50390625,
        2.4970703125,
        2.5009765625,
        2.4970703125,
        3.98046875,
        2.5078125,
        2.50390625,
        2.5009765625,
        2.486328125,
        2.5087890625,
        2.505859375,
        2.49609375,
        2.501953125,
        2.482421875,
        2.4990234375,
        2.4921875,
        2.486328125,
        2.4970703125,
        2.4921875,
        2.509765625,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.2314453125,
        3.25341796875,
        3.12646484375,
        3.1103515625,
        2.73779296875,
        2.87548828125,
        3.3671875,
        3.22412109375,
        3.23681640625,
        3.283203125,
        3.24609375,
        3.26611328125,
        3.23876953125,
        3.15283203125,
        3.2734375,
        2.7099609375,
        2.2265625,
        2.21435546875,
        2.17041015625,
        2.19677734375,
        2.15673828125,
        2.17333984375,
        2.12353515625,
        2.1640625,
        2.095703125,
        2.107421875,
        2.05908203125,
        2.05517578125,
        1.94921875,
        1.90234375,
        2.267578125,
        2.5283203125,
        2.4609375,
        2.5869140625,
        2.703125,
        2.783203125,
        2.6279296875,
        2.6328125,
        2.685546875,
        2.6435546875,
        2.6171875,
        2.7509765625,
        2.701171875,
        3.974609375,
        2.7099609375,
        2.7412109375,
        3.982421875,
        3.98046875,
        3.98046875,
        3.962890625,
        2.77734375,
        2.69140625,
        2.7109375,
        2.69140625,
        2.6845703125,
        2.6640625,
        2.6689453125,
        2.65234375,
        2.677734375,
        2.673828125,
        2.6748046875,
        2.6572265625,
        2.642578125,
        2.640625,
        2.6689453125,
        2.67578125,
        2.6826171875,
        2.6875,
        3.92578125,
        2.734375,
        2.6884765625,
        2.685546875,
        2.6806640625,
        2.6767578125,
        2.6552734375,
        2.6650390625,
        2.6669921875,
        2.662109375,
        2.66015625,
        2.6591796875,
        2.6494140625,
        2.6865234375,
        2.6904296875,
        2.69140625,
        2.689453125,
        2.681640625,
        2.689453125,
        2.689453125,
        2.6982421875,
        2.6982421875,
        2.6826171875,
        2.6865234375,
        2.6953125,
        2.701171875,
        2.693359375,
        2.7001953125,
        2.7001953125,
        2.6943359375,
        2.7001953125,
        2.6943359375,
        2.7138671875,
        2.69140625,
        2.69140625,
        2.7001953125,
        2.6884765625,
        2.697265625,
        2.6982421875,
        2.6982421875,
        2.7060546875,
        2.6962890625,
        2.70703125,
        2.6962890625,
        2.7099609375,
        2.7001953125,
        2.705078125,
        2.7001953125,
        2.69921875,
        2.7041015625,
        2.6982421875,
        2.70703125,
        2.708984375,
        2.701171875,
        2.720703125,
        2.7080078125,
        2.7109375,
        2.701171875,
        2.69921875,
        2.701171875,
        2.70703125,
        2.7041015625,
        2.7080078125,
        2.697265625,
        2.70703125,
        2.70703125,
        2.712890625,
        2.7177734375,
        2.7119140625,
        2.6982421875,
        2.7060546875,
        2.697265625,
        2.7021484375,
        2.6982421875,
        2.6884765625,
        2.6865234375,
        2.685546875,
        2.671875,
        2.66796875,
        2.6669921875,
        2.669921875,
        2.6640625,
        2.66796875,
        2.681640625,
        2.671875,
        2.6708984375,
        2.6962890625,
        2.6767578125,
        2.697265625,
        2.6748046875,
        2.66796875,
        2.666015625,
        2.67578125,
        2.677734375,
        2.6748046875,
        2.6845703125,
        2.6748046875,
        2.6767578125,
        2.6728515625,
        2.69140625,
        2.6982421875,
        2.6884765625,
        2.6953125,
        2.697265625,
        2.69140625,
        2.69921875,
        2.69140625,
        2.669921875,
        2.7041015625,
        2.6982421875,
        2.6953125,
        2.6904296875,
        2.6923828125,
        2.671875,
        2.6962890625,
        2.6611328125,
        2.6611328125,
        2.6865234375,
        2.66796875,
        2.6796875,
        2.68359375,
        2.662109375,
        2.66796875,
        2.6669921875,
        2.66015625,
        2.6748046875,
        2.662109375,
        2.65625,
        2.6826171875,
        2.6796875,
        2.671875,
        2.681640625,
        2.6865234375,
        2.681640625,
        2.6787109375,
        2.6875,
        2.685546875,
        2.685546875,
        2.685546875,
        2.681640625,
        2.68359375,
        2.6923828125,
        2.6845703125,
        2.6845703125,
        2.68359375,
        2.6875,
        2.681640625,
        2.68359375,
        2.681640625,
        2.6904296875,
        2.6865234375,
        2.6806640625,
        2.6923828125,
        2.6630859375,
        2.673828125,
        2.6640625,
        2.6923828125,
        2.69921875,
        2.7021484375,
        2.705078125,
        2.6806640625,
        2.6953125,
        2.7001953125,
        2.6748046875,
        2.6953125,
        2.697265625,
        2.7041015625,
        2.6962890625,
        2.6943359375,
        2.669921875,
        2.701171875,
        2.7236328125,
        2.6943359375,
        2.701171875,
        2.7158203125,
        2.685546875,
        2.666015625,
        2.705078125,
        2.681640625,
        2.72265625,
        2.7646484375,
        2.7255859375,
        2.7470703125,
        2.7548828125,
        2.7646484375,
        3.98046875,
        2.759765625,
        3.98046875,
        2.720703125,
        2.794921875,
        3.98046875,
        3.982421875,
        3.974609375,
        2.7548828125,
        2.7919921875,
        3.98046875,
        2.7919921875,
        2.8203125,
        2.767578125,
        2.7919921875,
        2.775390625,
        3.98046875,
        2.80078125,
        2.8447265625,
        3.974609375,
        3.97265625,
        3.978515625,
        3.978515625,
        3.978515625,
        3.98046875,
        3.982421875,
        3.982421875,
        3.974609375,
        3.974609375,
        3.98046875,
        3.9765625,
        3.96875,
        3.98046875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.9765625,
        3.970703125,
        3.982421875,
        3.97265625,
        3.978515625,
        3.982421875,
        3.978515625,
        3.978515625,
        3.96875,
        3.97265625,
        3.97265625,
        3.98046875,
        3.98046875,
        3.98046875,
        3.98046875,
        3.974609375,
        3.98046875,
        3.98046875,
        3.98046875,
        3.974609375,
        3.958984375,
        3.970703125,
        3.962890625,
        2.77734375,
        2.75390625,
        3.98046875,
        3.970703125,
        3.982421875,
        3.982421875,
        3.9765625,
        3.9765625,
        3.96875,
        3.970703125,
        2.794921875,
        3.978515625,
        3.9453125,
        2.8173828125,
        2.8837890625,
        3.98046875,
        2.9287109375,
        3.982421875,
        3.982421875,
        2.8447265625,
        2.97802734375,
        2.84765625,
        2.94580078125,
        2.7216796875,
        2.8876953125,
        2.705078125,
        2.6083984375,
        2.576171875,
        2.5810546875,
        2.6513671875,
        2.4853515625,
        2.47265625,
        2.517578125,
        2.4970703125,
        2.591796875,
        2.5244140625,
        2.396484375,
        2.3876953125,
        2.34765625,
        2.2734375,
        2.0361328125,
        2.2158203125,
        2.5390625,
        2.5859375,
        2.23046875,
        2.529296875,
        2.5234375,
        2.654296875,
        2.5966796875,
        2.57421875,
        2.6884765625,
        3.970703125,
        2.7529296875,
        2.685546875,
        2.7734375,
        2.646484375,
        2.84033203125,
        2.6640625,
        2.6318359375,
        2.7109375,
        2.6162109375,
        2.771484375,
        2.607421875,
        2.62890625,
        2.59912109375,
        2.74609375,
        2.421875,
        2.2490234375,
        2.65771484375,
        2.66015625,
        2.95751953125,
        3.0634765625,
        3.13720703125,
        3.1376953125,
        2.74658203125,
        2.7177734375,
        2.60302734375,
        2.2734375,
        2.32861328125,
        2.3349609375,
        2.38232421875,
        2.37255859375,
        2.41845703125,
        2.427734375,
        2.45068359375,
        2.41650390625,
        2.533447265625,
        2.520751953125,
        2.5751953125,
        2.583251953125,
        2.643310546875,
        2.60986328125,
        2.658935546875,
        2.658935546875,
        2.66748046875,
        2.610595703125,
        2.671875,
        2.682861328125,
        2.7532958984375,
        3.4039306640625,
        3.5557861328125,
        3.5714111328125,
        2.4580078125,
        2.466796875,
        2.498046875,
        2.5078125,
        2.48828125,
        2.490234375,
        2.4931640625,
        2.486328125,
        2.482421875,
        2.484375,
        2.501953125,
        2.5048828125,
        2.5068359375,
        2.5087890625,
        2.51171875,
        3.982421875,
        3.982421875,
        3.98046875,
        2.51171875,
        2.50390625,
        2.5126953125,
        2.505859375,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.5107421875,
        3.98046875,
        2.509765625,
        2.5029296875,
        3.982421875,
        2.509765625,
        2.509765625,
        3.982421875,
        2.505859375,
        2.501953125,
        3.982421875,
        2.51171875,
        2.5078125,
        2.5078125,
        2.509765625,
        2.5087890625,
        3.982421875,
        2.498046875,
        2.4892578125,
        2.46875,
        2.44921875,
        2.4521484375,
        2.458984375,
        2.4638671875,
        2.443359375,
        2.4287109375,
        2.423828125,
        2.873046875,
        2.86328125,
        2.841796875,
        2.86328125,
        2.92041015625,
        2.8720703125,
        2.4228515625,
        2.4921875,
        2.4697265625,
        2.74609375,
        2.8125,
        2.6015625,
        2.501953125,
        2.43359375,
        2.5205078125,
        2.88671875,
        2.8359375,
        2.466796875,
        2.7626953125,
        2.8515625,
        2.8427734375,
        3.978515625,
        2.8525390625,
        3.982421875,
        3.982421875,
        2.7578125,
        2.673828125,
        2.6171875,
        2.623046875,
        2.6142578125,
        2.703125,
        2.7333984375,
        2.7265625,
        2.7529296875,
        2.73828125,
        2.73828125,
        2.74609375,
        2.76171875,
        2.7373046875,
        2.7421875,
        2.7431640625,
        2.68359375,
        2.671875,
        2.669921875,
        2.6591796875,
        2.654296875,
        2.623046875,
        2.6279296875,
        2.6474609375,
        2.6181640625,
        2.66015625,
        2.6455078125,
        2.6318359375,
        2.638671875,
        2.6181640625,
        2.638671875,
        2.640625,
        2.634765625,
        2.626953125,
        2.6298828125,
        2.6279296875,
        2.64453125,
        2.5849609375,
        2.5615234375,
        2.673828125,
        2.673828125,
        2.6865234375,
        2.681640625,
        2.693359375,
        2.6796875,
        2.654296875,
        2.658203125,
        2.66015625,
        2.65234375,
        2.623046875,
        2.623046875,
        2.6220703125,
        2.6611328125,
        2.6357421875,
        2.671875,
        2.703125,
        2.6494140625,
        2.666015625,
        2.6298828125,
        2.638671875,
        2.662109375,
        2.6328125,
        2.62890625,
        2.662109375,
        2.6572265625,
        2.6162109375,
        2.6796875,
        2.6455078125,
        2.6162109375,
        2.654296875,
        2.5927734375,
        2.6787109375,
        2.703125,
        2.72265625,
        3.97265625,
        3.982421875,
        2.6845703125,
        2.783203125,
        3.978515625,
        3.98046875,
        3.98046875,
        3.978515625,
        3.9765625,
        3.962890625,
        3.982421875,
        3.98046875,
        3.982421875,
        3.96875,
        3.9453125,
        2.8291015625,
        2.7822265625,
        2.6728515625,
        2.76171875,
        2.751953125,
        2.73828125,
        2.685546875,
        2.6796875,
        2.7021484375,
        2.7294921875,
        2.794921875,
        2.791015625,
        2.6044921875,
        2.62890625,
        2.734375,
        2.6552734375,
        2.8330078125,
        3.736328125,
        2.69140625,
        2.6123046875,
        2.5556640625,
        2.595703125,
        2.6220703125,
        3.763671875,
        2.8818359375,
        2.7939453125,
        2.6865234375,
        2.6689453125,
        2.6650390625,
        2.6630859375,
        2.6123046875,
        2.6640625,
        2.63671875,
        2.6005859375,
        2.6181640625,
        2.6357421875,
        2.615234375,
        2.69140625,
        2.6669921875,
        2.64453125,
        2.6748046875,
        2.6640625,
        2.6328125,
        2.638671875,
        2.6025390625,
        2.62109375,
        2.537109375,
        2.5576171875,
        2.5224609375,
        2.5712890625,
        2.58203125,
        2.59765625,
        2.6025390625,
        2.642578125,
        2.658203125,
        2.6875,
        2.66015625,
        2.66796875,
        2.6943359375,
        2.6689453125,
        2.634765625,
        2.607421875,
        2.59765625,
        2.6572265625,
        2.66015625,
        2.6435546875,
        2.619140625,
        2.6806640625,
        2.7099609375,
        2.63671875,
        2.6953125,
        3.779296875,
        3.76953125,
        2.8427734375,
        2.8330078125,
        2.7841796875,
        2.6484375,
        2.728515625,
        2.6630859375,
        2.65625,
        2.603515625,
        2.6044921875,
        2.6044921875,
        2.59765625,
        2.634765625,
        2.6435546875,
        2.6220703125,
        2.6298828125,
        2.6142578125,
        2.6318359375,
        2.6435546875,
        2.6494140625,
        2.6376953125,
        2.6572265625,
        2.6357421875,
        2.6357421875,
        2.6767578125,
        2.68359375,
        2.8896484375,
        2.619140625,
        2.826171875,
        2.6806640625,
        2.8232421875,
        2.671875,
        2.5810546875,
        2.833984375,
        3.740234375,
        2.5537109375,
        2.5908203125,
        2.548828125,
        2.6103515625,
        2.5185546875,
        1.98291015625,
        1.9208984375,
        2.19921875,
        2.3486328125,
        2.16650390625,
        1.9462890625,
        1.98779296875,
        2.873046875,
        3.0,
        3.04296875,
        2.87353515625,
        2.74462890625,
        2.46728515625,
        2.33935546875,
        2.66943359375,
        2.5615234375,
        2.8203125,
        2.7177734375,
        2.84521484375,
        2.5712890625,
        2.8681640625,
        2.859375,
        2.7158203125,
        2.5126953125,
        2.51171875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.5,
        2.5029296875,
        2.4775390625,
        2.490234375,
        2.5,
        3.03369140625,
        2.5087890625,
        3.98046875,
        2.5048828125,
        2.5029296875,
        2.50390625,
        2.5009765625,
        2.5068359375,
        2.4951171875,
        2.5029296875,
        2.509765625,
        2.505859375,
        2.4951171875,
        2.5009765625,
        2.48828125,
        2.5029296875,
        2.4931640625,
        2.48046875,
        2.474609375,
        2.4951171875,
        2.4794921875,
        2.4931640625,
        2.4853515625,
        2.498046875,
        2.501953125,
        2.4970703125,
        2.4892578125,
        2.498046875,
        2.5048828125,
        2.5,
        2.5068359375,
        2.494140625,
        2.4931640625,
        2.4892578125,
        2.4951171875,
        2.4755859375,
        2.4814453125,
        2.4892578125,
        2.4853515625,
        2.4765625,
        2.4716796875,
        2.4892578125,
        2.4970703125,
        3.982421875,
        2.51171875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        2.501953125,
        3.38232421875,
        3.2666015625,
        3.21533203125,
        2.90478515625,
        3.455322265625,
        2.25537109375,
        3.2978515625,
        3.35791015625,
        3.43359375,
        3.361328125,
        3.427734375,
        3.43896484375,
        3.33203125,
        3.413818359375,
        3.982421875,
        3.498291015625,
        3.5302734375,
        3.4140625,
        3.3984375,
        3.136962890625,
        2.36328125,
        2.3837890625,
        2.4140625,
        2.41357421875,
        2.3056640625,
        2.39892578125,
        2.39013671875,
        2.34716796875,
        2.34619140625,
        2.322265625,
        2.7265625,
        2.97021484375,
        2.966796875,
        2.92333984375,
        2.87451171875,
        2.7783203125,
        2.89404296875,
        3.10791015625,
        3.1298828125,
        3.056640625,
        3.978515625,
        3.111328125,
        3.05078125,
        3.01708984375,
        2.99951171875,
        2.9443359375,
        3.982421875,
        3.982421875,
        2.9736328125,
        2.9375,
        3.982421875,
        3.982421875,
        3.982421875,
        2.9306640625,
        2.9228515625,
        2.923828125,
        3.98046875,
        2.9130859375,
        2.896484375,
        2.849609375,
        2.8701171875,
        2.88671875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.978515625,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.978515625,
        3.982421875,
        3.98046875,
        3.982421875,
        3.98046875,
        3.98046875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        2.9052734375,
        2.880859375,
        2.8759765625,
        2.904296875,
        2.89453125,
        3.982421875,
        2.955078125,
        2.95361328125,
        3.982421875,
        3.017578125,
        3.978515625,
        3.0654296875,
        3.97265625,
        3.982421875,
        3.982421875,
        3.07568359375,
        3.10498046875,
        3.076171875,
        3.13427734375,
        3.154296875,
        3.1572265625,
        3.1376953125,
        3.14453125,
        3.17578125,
        3.21435546875,
        3.98046875,
        3.3251953125,
        3.31982421875,
        3.98046875,
        3.35107421875,
        3.97265625,
        3.34912109375,
        3.97265625,
        3.3173828125,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.05810546875,
        3.125,
        2.8984375,
        2.9267578125,
        2.47021484375,
        2.44482421875,
        2.4150390625,
        2.4375,
        2.46044921875,
        2.459228515625,
        2.417236328125,
        2.4521484375,
        2.43310546875,
        2.450927734375,
        2.503173828125,
        2.4931640625,
        2.466064453125,
        2.52587890625,
        2.519287109375,
        2.67919921875,
        3.4892578125,
        3.460205078125,
        3.503662109375,
        3.517578125,
        3.515380859375,
        3.476806640625,
        3.4521484375,
        3.419921875,
        3.26025390625,
        2.87451171875,
        3.216796875,
        3.5087890625,
        3.982421875,
        2.7265625,
        2.7314453125,
        2.7431640625,
        2.7275390625,
        2.740234375,
        2.716796875,
        2.720703125,
        2.7177734375,
        2.7275390625,
        2.728515625,
        2.744140625,
        2.7314453125,
        2.7392578125,
        2.72265625,
        2.728515625,
        2.7353515625,
        2.751953125,
        2.7490234375,
        2.7333984375,
        2.740234375,
        2.748046875,
        2.74609375,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        2.7421875,
        3.982421875,
        3.98046875,
        2.7470703125,
        3.98046875,
        2.7490234375,
        2.75,
        3.98046875,
        2.7421875,
        2.7451171875,
        2.736328125,
        2.75,
        2.7529296875,
        2.7490234375,
        2.7431640625,
        2.744140625,
        3.982421875,
        3.98046875,
        2.7529296875,
        2.7490234375,
        2.7451171875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.751953125,
        3.98046875,
        3.982421875,
        2.748046875,
        3.982421875,
        2.74609375,
        3.982421875,
        3.982421875,
        2.7275390625,
        2.650390625,
        3.98046875,
        3.419189453125,
        3.982421875,
        3.56103515625,
        3.982421875,
        3.04345703125,
        3.22900390625,
        3.982421875,
        3.982421875,
        3.32666015625,
        3.333984375,
        3.375,
        2.587890625,
        2.7215576171875,
        2.609130859375,
        2.568359375,
        2.62646484375,
        2.588623046875,
        2.536865234375,
        2.623291015625,
        2.56103515625,
        2.602783203125,
        2.648681640625,
        2.62744140625,
        2.2802734375,
        2.0556640625,
        2.171630859375,
        2.256103515625,
        3.456787109375,
        3.4951171875,
        3.525390625,
        3.982421875,
        3.47998046875,
        3.483642578125,
        3.479248046875,
        3.448974609375,
        3.457763671875,
        3.452880859375,
        3.4443359375,
        3.43798828125,
        3.44091796875,
        3.43603515625,
        3.426025390625,
        3.4326171875,
        3.412353515625,
        3.408203125,
        3.4052734375,
        3.3896484375,
        3.388916015625,
        3.3896484375,
        3.37744140625,
        3.39990234375,
        3.388671875,
        3.37255859375,
        3.39208984375,
        3.3720703125,
        3.37451171875,
        3.3623046875,
        3.36083984375,
        3.3740234375,
        3.36474609375,
        3.37353515625,
        3.39404296875,
        3.36181640625,
        3.3681640625,
        3.3642578125,
        3.37646484375,
        3.38916015625,
        3.38525390625,
        3.38525390625,
        3.3984375,
        3.37890625,
        3.36865234375,
        3.392578125,
        3.3876953125,
        3.37890625,
        3.38427734375,
        3.39208984375,
        3.39892578125,
        3.39208984375,
        3.38623046875,
        3.373046875,
        3.3876953125,
        3.38134765625,
        3.3779296875,
        3.380859375,
        3.3564453125,
        3.3759765625,
        3.37548828125,
        3.376953125,
        3.35009765625,
        3.36962890625,
        3.3564453125,
        3.34912109375,
        3.35400390625,
        3.359375,
        3.33935546875,
        3.361328125,
        3.982421875,
        3.982421875,
        3.2802734375,
        3.9375,
        3.3125,
        3.982421875,
        3.1962890625,
        3.1416015625,
        3.14599609375,
        3.15283203125,
        3.11279296875,
        2.890625,
        2.85546875,
        2.84130859375,
        2.85693359375,
        3.9765625,
        2.86181640625,
        2.94091796875,
        2.9482421875,
        2.89599609375,
        2.98291015625,
        2.99169921875,
        3.08154296875,
        3.14453125,
        3.1767578125,
        3.978515625,
        3.98046875,
        3.978515625,
        3.130859375,
        3.13818359375,
        3.974609375,
        3.12060546875,
        3.095703125,
        3.0869140625,
        3.09033203125,
        3.0791015625,
        3.0625,
        3.06494140625,
        3.04443359375,
        3.0498046875,
        3.04833984375,
        3.04638671875,
        3.07275390625,
        3.0732421875,
        3.03759765625,
        3.0146484375,
        3.0751953125,
        3.982421875,
        3.1005859375,
        3.982421875,
        3.978515625,
        3.0927734375,
        3.13330078125,
        3.904296875,
        2.14990234375,
        2.19287109375,
        2.20947265625,
        2.2236328125,
        2.171875,
        2.2509765625,
        2.46337890625,
        2.6044921875,
        2.36865234375,
        2.32958984375,
        2.3154296875,
        2.4453125,
        2.36181640625,
        2.40185546875,
        2.3779296875,
        2.37451171875,
        2.3505859375,
        2.3935546875,
        3.9453125,
        3.42919921875,
        2.641845703125,
        3.033935546875,
        3.320556640625,
        3.43212890625,
        3.13720703125,
        2.7509765625,
        3.07080078125,
        3.26611328125,
        3.383544921875,
        3.442626953125,
        3.1904296875,
        3.06884765625,
        2.5048828125,
        2.490234375,
        2.5029296875,
        2.4951171875,
        2.5048828125,
        2.5078125,
        3.982421875,
        2.5087890625,
        2.5126953125,
        2.505859375,
        3.982421875,
        2.505859375,
        2.5009765625,
        2.4931640625,
        2.4921875,
        2.5087890625,
        2.4931640625,
        2.5009765625,
        2.4931640625,
        2.4873046875,
        2.494140625,
        2.4814453125,
        2.4853515625,
        2.4912109375,
        2.498046875,
        2.5029296875,
        2.5029296875,
        2.490234375,
        2.5107421875,
        2.5048828125,
        2.501953125,
        2.4970703125,
        2.5107421875,
        2.5068359375,
        2.505859375,
        2.4990234375,
        2.5009765625,
        2.5068359375,
        2.4990234375,
        3.982421875,
        2.5029296875,
        2.5087890625,
        2.5068359375,
        3.982421875,
        3.982421875,
        3.98046875,
        2.51171875,
        2.513671875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        2.4921875,
        2.4453125,
        3.21923828125,
        3.26220703125,
        3.2734375,
        3.9609375,
        3.32275390625,
        2.59423828125,
        2.32373046875,
        2.23193359375,
        2.25634765625,
        2.146484375,
        2.3125,
        2.16015625,
        2.08154296875,
        2.880859375,
        2.8876953125,
        2.75732421875,
        2.9296875,
        3.982421875,
        3.98046875,
        2.921875,
        2.84765625,
        2.8515625,
        2.830078125,
        2.8271484375,
        2.8642578125,
        2.8369140625,
        3.978515625,
        2.828125,
        2.8369140625,
        2.8291015625,
        2.82421875,
        2.818359375,
        2.82421875,
        2.7978515625,
        2.8154296875,
        2.81640625,
        2.7939453125,
        2.80859375,
        2.8125,
        2.802734375,
        2.798828125,
        2.8076171875,
        2.8076171875,
        2.8125,
        2.80859375,
        2.8076171875,
        2.806640625,
        2.810546875,
        2.81640625,
        2.8154296875,
        2.814453125,
        2.8212890625,
        2.7998046875,
        2.8056640625,
        2.8056640625,
        2.82421875,
        2.814453125,
        2.8330078125,
        2.8193359375,
        2.8154296875,
        2.7900390625,
        2.8466796875,
        2.7978515625,
        2.7861328125,
        2.7529296875,
        2.7626953125,
        2.734375,
        2.70703125,
        2.671875,
        2.669921875,
        2.6494140625,
        2.5927734375,
        2.6201171875,
        2.619140625,
        2.5810546875,
        2.6181640625,
        2.5947265625,
        2.6337890625,
        2.6103515625,
        2.52734375,
        2.53515625,
        2.53125,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.5107421875,
        2.5068359375,
        2.5126953125,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.50390625,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.5107421875,
        3.982421875,
        3.982421875,
        2.4892578125,
        3.982421875,
        2.490234375,
        2.4833984375,
        3.98046875,
        2.4052734375,
        2.59765625,
        2.4462890625,
        2.5654296875,
        1.6396484375,
        1.72265625,
        1.783203125,
        1.94580078125,
        1.98486328125,
        1.9658203125,
        1.98291015625,
        2.07763671875,
        2.07958984375,
        2.14794921875,
        2.1591796875,
        2.6630859375,
        2.64208984375,
        3.3076171875,
        3.3408203125,
        3.982421875,
        3.982421875,
        2.5107421875,
        3.982421875,
        3.98046875,
        2.5068359375,
        2.5,
        3.982421875,
        2.509765625,
        2.51171875,
        3.982421875,
        2.5126953125,
        2.5,
        2.5107421875,
        2.5107421875,
        3.982421875,
        3.98046875,
        3.982421875,
        2.5087890625,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        2.509765625,
        2.5078125,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.978515625,
        2.435546875,
        2.4443359375,
        2.8232421875,
        2.7861328125,
        3.13037109375,
        3.982421875,
        3.982421875,
        3.07470703125,
        2.96337890625,
        3.0185546875,
        2.4541015625,
        1.96435546875,
        1.8984375,
        1.88916015625,
        1.8349609375,
        1.7841796875,
        1.755859375,
        1.71875,
        1.6611328125,
        1.6513671875,
        1.8154296875,
        1.67578125,
        1.71875,
        1.6279296875,
        1.845703125,
        1.8974609375,
        1.7001953125,
        1.7734375,
        1.857421875,
        1.88671875,
        1.9619140625,
        2.3701171875,
        2.341796875,
        2.3896484375,
        2.3984375,
        2.412109375,
        2.5732421875,
        2.51171875,
        2.6103515625,
        2.564453125,
        2.49609375,
        2.595703125,
        3.982421875,
        3.966796875,
        2.779296875,
        2.826171875,
        3.97265625,
        3.982421875,
        3.962890625,
        3.982421875,
        2.8740234375,
        2.919921875,
        2.8515625,
        2.8935546875,
        2.91015625,
        3.947265625,
        3.978515625,
        3.98046875,
        2.98291015625,
        2.99609375,
        3.05322265625,
        3.982421875,
        2.93408203125,
        2.2373046875,
        2.37890625,
        2.220703125,
        2.18212890625,
        2.24169921875,
        2.18701171875,
        2.30029296875,
        2.29931640625,
        2.296875,
        2.3583984375,
        2.6865234375,
        3.3544921875,
        3.46923828125,
        3.3896484375,
        3.169921875,
        3.3349609375,
        3.3388671875,
        2.4951171875,
        2.501953125,
        2.4892578125,
        2.4873046875,
        2.462890625,
        2.4619140625,
        2.4765625,
        2.4755859375,
        2.486328125,
        3.982421875,
        2.5107421875,
        3.982421875,
        2.4970703125,
        2.5107421875,
        2.51171875,
        2.4931640625,
        2.4990234375,
        2.5048828125,
        2.4990234375,
        2.4892578125,
        2.501953125,
        2.5068359375,
        2.5087890625,
        2.4833984375,
        2.4775390625,
        2.46875,
        2.49609375,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.45751953125,
        3.462646484375,
        3.521484375,
        3.982421875,
        3.48681640625,
        3.399169921875,
        3.3349609375,
        3.41650390625,
        2.35498046875,
        2.3896484375,
        2.40380859375,
        2.37744140625,
        2.3818359375,
        2.396484375,
        2.400390625,
        3.2919921875,
        3.19482421875,
        3.1845703125,
        3.20458984375,
        3.2685546875,
        3.17333984375,
        3.16455078125,
        3.13427734375,
        3.140625,
        3.1298828125,
        3.15869140625,
        3.16259765625,
        3.1806640625,
        3.1611328125,
        3.1611328125,
        3.15869140625,
        3.1552734375,
        3.13671875,
        3.14892578125,
        3.1533203125,
        3.1552734375,
        3.16357421875,
        3.173828125,
        3.1572265625,
        3.1640625,
        3.16552734375,
        3.1767578125,
        3.17822265625,
        3.1650390625,
        3.16357421875,
        3.15771484375,
        3.1455078125,
        3.15087890625,
        3.1513671875,
        3.15283203125,
        3.15283203125,
        3.15576171875,
        3.1689453125,
        3.1552734375,
        3.16357421875,
        3.15869140625,
        3.15966796875,
        3.16357421875,
        3.15478515625,
        3.15625,
        3.14697265625,
        3.14599609375,
        3.14697265625,
        3.138671875,
        3.15380859375,
        3.15234375,
        3.1455078125,
        3.1494140625,
        3.1455078125,
        3.1533203125,
        3.15380859375,
        3.15185546875,
        3.1357421875,
        3.15478515625,
        3.1396484375,
        3.14208984375,
        3.13720703125,
        3.14990234375,
        3.13525390625,
        3.12890625,
        3.12939453125,
        3.12939453125,
        3.11962890625,
        3.12646484375,
        3.119140625,
        3.11328125,
        3.11865234375,
        3.1181640625,
        3.12158203125,
        3.119140625,
        3.1171875,
        3.11474609375,
        3.11474609375,
        3.126953125,
        3.13720703125,
        3.1474609375,
        3.1328125,
        3.1240234375,
        3.1123046875,
        3.13818359375,
        3.142578125,
        3.1298828125,
        3.1220703125,
        3.12939453125,
        3.11767578125,
        3.10400390625,
        3.10498046875,
        3.10791015625,
        3.1220703125,
        3.12158203125,
        3.13427734375,
        3.06982421875,
        3.0830078125,
        3.095703125,
        3.10302734375,
        3.07177734375,
        3.130859375,
        3.0966796875,
        3.11767578125,
        3.05029296875,
        3.05224609375,
        3.0712890625,
        3.05615234375,
        3.0478515625,
        3.07470703125,
        3.095703125,
        3.0751953125,
        3.08251953125,
        3.087890625,
        3.0419921875,
        3.125,
        3.14599609375,
        3.14501953125,
        3.14697265625,
        3.140625,
        3.12744140625,
        3.11669921875,
        3.123046875,
        3.123046875,
        3.09716796875,
        3.0927734375,
        3.125,
        3.146484375,
        3.119140625,
        3.1787109375,
        3.21923828125,
        3.26416015625,
        3.978515625,
        3.962890625,
        3.0673828125,
        3.10888671875,
        3.1591796875,
        3.095703125,
        3.12353515625,
        2.2685546875,
        2.28564453125,
        2.333984375,
        2.30322265625,
        2.328125,
        2.34423828125,
        2.27392578125,
        2.32177734375,
        2.3447265625,
        2.34228515625,
        2.60546875,
        2.44189453125,
        3.3330078125,
        3.251953125,
        3.487548828125,
        3.505859375,
        3.982421875,
        3.4375,
        3.311767578125,
        3.389404296875,
        3.982421875,
        3.98046875,
        2.654296875,
        2.654296875,
        2.658203125,
        2.658203125,
        2.6484375,
        2.66015625,
        3.982421875,
        2.658203125,
        2.65625,
        2.6396484375,
        2.6552734375,
        2.6357421875,
        2.615234375,
        2.6201171875,
        2.6240234375,
        2.6328125,
        2.623046875,
        2.6298828125,
        2.6240234375,
        2.6494140625,
        2.658203125,
        2.6279296875,
        2.642578125,
        2.646484375,
        2.6494140625,
        2.638671875,
        2.6376953125,
        2.6455078125,
        2.6591796875,
        2.60546875,
        2.48486328125,
        2.5458984375,
        3.175048828125,
        3.45947265625,
        3.4580078125,
        3.982421875,
        3.2822265625,
        2.876953125,
        2.37060546875,
        2.36669921875,
        2.36865234375,
        2.38134765625,
        2.3935546875,
        2.35107421875,
        3.111328125,
        3.0908203125,
        3.15185546875,
        3.07421875,
        3.16845703125,
        3.28369140625,
        3.15771484375,
        3.22802734375,
        3.28564453125,
        3.17724609375,
        3.1337890625,
        3.97265625,
        3.271484375,
        3.2060546875,
        3.2685546875,
        3.20849609375,
        3.23046875,
        3.9765625,
        3.23828125,
        3.15380859375,
        3.22705078125,
        3.15869140625,
        3.18310546875,
        3.1328125,
        3.1279296875,
        3.14013671875,
        3.1416015625,
        3.14013671875,
        3.13427734375,
        3.1435546875,
        3.16162109375,
        3.1396484375,
        3.15283203125,
        3.1357421875,
        3.14794921875,
        3.14453125,
        3.126953125,
        3.1318359375,
        3.12939453125,
        3.13525390625,
        3.1435546875,
        3.14306640625,
        3.14892578125,
        3.1474609375,
        3.12890625,
        3.08984375,
        3.09375,
        3.0859375,
        3.08642578125,
        3.083984375,
        3.1044921875,
        3.09619140625,
        3.09423828125,
        3.11328125,
        3.13330078125,
        3.134765625,
        3.1396484375,
        3.1259765625,
        3.140625,
        3.1494140625,
        3.15185546875,
        3.1474609375,
        3.142578125,
        3.123046875,
        3.1181640625,
        3.142578125,
        3.1474609375,
        3.21533203125,
        3.25146484375,
        3.27197265625,
        3.2333984375,
        3.28271484375,
        3.224609375,
        3.078125,
        3.03759765625,
        2.78125,
        2.3046875,
        2.27734375,
        2.95751953125,
        3.09716796875,
        3.982421875,
        3.92578125,
        3.962890625,
        3.376953125,
        3.44873046875,
        3.30712890625,
        3.181640625,
        2.86865234375,
        3.01611328125,
        3.982421875,
        3.982421875,
        2.5078125,
        2.50390625,
        2.5048828125,
        2.505859375,
        3.98046875,
        2.50390625,
        2.505859375,
        2.5078125,
        2.498046875,
        2.501953125,
        2.4970703125,
        2.509765625,
        2.5048828125,
        2.890625,
        2.875,
        2.4892578125,
        2.478515625,
        2.5068359375,
        2.50390625,
        2.5029296875,
        2.4951171875,
        2.4970703125,
        2.501953125,
        2.4833984375,
        2.4853515625,
        2.4775390625,
        2.50390625,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.38623046875,
        3.39697265625,
        3.593017578125,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.504638671875,
        3.472900390625,
        3.31298828125,
        2.3681640625,
        2.36376953125,
        2.28662109375,
        2.3642578125,
        2.28662109375,
        2.330078125,
        2.3515625,
        3.025390625,
        3.03515625,
        3.21826171875,
        3.1416015625,
        3.962890625,
        3.1123046875,
        3.14453125,
        3.1083984375,
        3.10546875,
        3.12451171875,
        3.10546875,
        3.10791015625,
        3.10009765625,
        3.1025390625,
        3.095703125,
        3.0947265625,
        3.09375,
        3.09228515625,
        3.1015625,
        3.09765625,
        3.09423828125,
        3.091796875,
        3.1240234375,
        3.103515625,
        3.955078125,
        3.91015625,
        3.98046875,
        3.0947265625,
        3.15771484375,
        3.916015625,
        3.91796875,
        3.970703125,
        3.919921875,
        3.12646484375,
        3.14208984375,
        3.9140625,
        3.12255859375,
        3.1005859375,
        3.09765625,
        3.10595703125,
        3.90625,
        3.12109375,
        3.14111328125,
        3.1279296875,
        3.091796875,
        3.1416015625,
        3.1455078125,
        3.166015625,
        3.0361328125,
        3.03564453125,
        3.14794921875,
        3.09228515625,
        2.9189453125,
        3.0654296875,
        2.81494140625,
        2.84716796875,
        2.3037109375,
        2.26025390625,
        2.26513671875,
        2.25830078125,
        2.275390625,
        2.23779296875,
        2.271484375,
        2.2587890625,
        2.24755859375,
        2.23486328125,
        2.23193359375,
        2.24365234375,
        2.23681640625,
        2.22607421875,
        2.23388671875,
        2.24658203125,
        2.22021484375,
        2.21826171875,
        2.240234375,
        2.232421875,
        2.2294921875,
        2.24658203125,
        2.2373046875,
        2.2392578125,
        2.2578125,
        2.24951171875,
        2.24658203125,
        2.26025390625,
        2.27001953125,
        2.263671875,
        2.27294921875,
        2.267578125,
        2.2646484375,
        2.27294921875,
        2.2783203125,
        2.27880859375,
        2.28076171875,
        2.2666015625,
        2.2529296875,
        2.26806640625,
        2.28759765625,
        2.26171875,
        2.2578125,
        2.287109375,
        2.2236328125,
        2.2919921875,
        2.30224609375,
        2.36767578125,
        2.32080078125,
        2.37451171875,
        2.4296875,
        2.55712890625,
        3.206298828125,
        3.127685546875,
        3.21435546875,
        3.4853515625,
        3.455078125,
        3.483642578125,
        3.4365234375,
        3.228515625,
        3.2841796875,
        3.982421875,
        2.6337890625,
        2.62109375,
        2.6181640625,
        2.6181640625,
        2.625,
        2.6142578125,
        3.982421875,
        2.640625,
        2.634765625,
        2.6337890625,
        2.62890625,
        2.62890625,
        2.6181640625,
        2.62109375,
        2.626953125,
        2.60546875,
        2.5947265625,
        2.60546875,
        2.60546875,
        2.611328125,
        3.982421875,
        2.634765625,
        2.640625,
        3.982421875,
        3.982421875,
        3.3310546875,
        3.584716796875,
        3.563720703125,
        3.547119140625,
        3.538330078125,
        3.5068359375,
        3.982421875,
        3.440673828125,
        3.37451171875,
        2.91845703125,
        2.392578125,
        2.4755859375,
        2.44287109375,
        2.43505859375,
        2.4248046875,
        2.39892578125,
        2.39404296875,
        2.3720703125,
        3.19140625,
        3.982421875,
        3.177734375,
        3.11572265625,
        3.087890625,
        3.18408203125,
        3.24755859375,
        3.1826171875,
        3.21142578125,
        3.189453125,
        3.17919921875,
        3.28955078125,
        3.21142578125,
        3.2060546875,
        3.21875,
        3.2451171875,
        3.17578125,
        3.1767578125,
        3.14892578125,
        3.1484375,
        3.1298828125,
        3.12353515625,
        3.11767578125,
        3.1328125,
        3.1787109375,
        3.13037109375,
        3.19384765625,
        3.13671875,
        3.1337890625,
        3.1474609375,
        3.1572265625,
        3.169921875,
        3.16015625,
        3.1611328125,
        3.1435546875,
        3.1494140625,
        3.15576171875,
        3.15576171875,
        3.1494140625,
        3.15234375,
        3.15185546875,
        3.146484375,
        3.1416015625,
        3.14501953125,
        3.1416015625,
        3.1455078125,
        3.1513671875,
        3.16015625,
        3.150390625,
        3.166015625,
        3.16552734375,
        3.16748046875,
        3.15869140625,
        3.17138671875,
        3.17822265625,
        3.14990234375,
        3.12353515625,
        3.1875,
        3.982421875,
        3.2373046875,
        3.203125,
        3.189453125,
        3.03173828125,
        2.93701171875,
        2.33447265625,
        2.27587890625,
        2.27734375,
        2.775390625,
        2.30712890625,
        2.3251953125,
        2.99755859375,
        2.90283203125,
        3.091796875,
        2.89697265625,
        2.50927734375,
        3.2470703125,
        2.45263671875,
        3.01171875,
        3.982421875,
        3.982421875,
        2.494140625,
        2.470703125,
        2.4892578125,
        2.5126953125,
        2.494140625,
        2.5048828125,
        2.505859375,
        2.4990234375,
        2.4990234375,
        2.505859375,
        2.5126953125,
        2.4990234375,
        2.4990234375,
        2.4990234375,
        2.5126953125,
        2.5,
        2.5,
        2.4970703125,
        2.5048828125,
        2.5029296875,
        2.5126953125,
        2.50390625,
        2.48828125,
        2.509765625,
        3.982421875,
        3.982421875,
        3.140625,
        3.060302734375,
        3.174072265625,
        3.98046875,
        3.982421875,
        3.982421875,
        3.9453125,
        3.442626953125,
        2.440185546875,
        2.434326171875,
        2.5302734375,
        2.502685546875,
        2.543701171875,
        2.8134765625,
        2.49169921875,
        2.7080078125,
        3.31689453125,
        3.15185546875,
        3.1279296875,
        3.13671875,
        3.240234375,
        3.228515625,
        3.19580078125,
        3.26953125,
        3.23046875,
        3.244140625,
        3.2314453125,
        3.212890625,
        3.21923828125,
        3.22509765625,
        3.2255859375,
        3.21044921875,
        3.2333984375,
        3.23486328125,
        3.2421875,
        3.2392578125,
        3.24609375,
        3.240234375,
        3.23828125,
        3.2255859375,
        3.22509765625,
        3.2275390625,
        3.228515625,
        3.22314453125,
        3.23193359375,
        3.23388671875,
        3.234375,
        3.2392578125,
        3.2451171875,
        3.2470703125,
        3.251953125,
        3.2939453125,
        3.29833984375,
        3.26904296875,
        3.275390625,
        3.30126953125,
        3.23681640625,
        3.24658203125,
        3.23388671875,
        3.927734375,
        3.9765625,
        3.88671875,
        3.8828125,
        3.24609375,
        3.26171875,
        3.25048828125,
        3.283203125,
        3.2138671875,
        3.2822265625,
        3.24462890625,
        3.32080078125,
        3.98046875,
        3.96484375,
        3.18505859375,
        3.2607421875,
        3.27734375,
        3.3583984375,
        3.2412109375,
        3.19091796875,
        3.18798828125,
        3.17138671875,
        3.203125,
        3.2080078125,
        3.21630859375,
        3.20068359375,
        3.2822265625,
        3.2607421875,
        3.25634765625,
        3.22705078125,
        3.2587890625,
        3.20849609375,
        3.18017578125,
        3.2158203125,
        3.185546875,
        3.14599609375,
        3.736328125,
        3.40576171875,
        3.36328125,
        3.21337890625,
        3.1552734375,
        3.16162109375,
        3.15283203125,
        3.2578125,
        3.2412109375,
        3.296875,
        3.0673828125,
        3.16162109375,
        2.39990234375,
        2.4248046875,
        2.40576171875,
        2.41015625,
        2.42138671875,
        2.369140625,
        2.4072265625,
        2.3857421875,
        2.37060546875,
        2.39013671875,
        2.4326171875,
        2.88818359375,
        2.474609375,
        3.192626953125,
        3.239501953125,
        3.526611328125,
        3.504150390625,
        3.29541015625,
        3.4306640625,
        3.3740234375,
        3.20068359375,
        2.6220703125,
        2.623046875,
        2.6181640625,
        2.638671875,
        2.650390625,
        2.6357421875,
        2.64453125,
        2.642578125,
        2.6494140625,
        2.638671875,
        2.6416015625,
        2.6494140625,
        2.63671875,
        2.63671875,
        2.63671875,
        2.6240234375,
        2.6376953125,
        2.638671875,
        2.6435546875,
        2.6376953125,
        3.982421875,
        3.982421875,
        2.6533203125,
        2.6455078125,
        3.982421875,
        3.982421875,
        3.982421875,
        2.6474609375,
        3.551513671875,
        3.2451171875,
        3.575439453125,
        3.64404296875,
        3.5048828125,
        3.955078125,
        3.424072265625,
        3.98046875,
        3.982421875,
        3.982421875,
        2.8857421875,
        2.38134765625,
        2.40087890625,
        2.4072265625,
        2.44140625,
        2.88134765625,
        3.2294921875,
        3.3583984375,
        3.96875,
        3.3330078125,
        3.26123046875,
        3.25927734375,
        3.2529296875,
        3.2314453125,
        3.24267578125,
        3.2265625,
        3.234375,
        3.2451171875,
        3.2470703125,
        3.2587890625,
        3.22314453125,
        3.2275390625,
        3.22412109375,
        3.224609375,
        3.21630859375,
        3.2119140625,
        3.2236328125,
        3.205078125,
        3.21875,
        3.20556640625,
        3.23046875,
        3.24609375,
        3.25439453125,
        3.22705078125,
        3.2451171875,
        3.22265625,
        3.22998046875,
        3.2236328125,
        3.2294921875,
        3.23095703125,
        3.22607421875,
        3.2255859375,
        3.2314453125,
        3.2294921875,
        3.240234375,
        3.982421875,
        3.263671875,
        3.115234375,
        3.060546875,
        2.3232421875,
        2.3828125,
        2.4296875,
        2.37548828125,
        2.3515625,
        2.38134765625,
        2.384765625,
        2.40673828125,
        2.71923828125,
        2.585205078125,
        2.962890625,
        3.27490234375,
        3.302001953125,
        3.499755859375,
        3.498779296875,
        3.46240234375,
        2.827392578125,
        2.9814453125,
        3.05859375,
        3.98046875,
        2.5009765625,
        3.982421875,
        2.50390625,
        2.51171875,
        2.4990234375,
        2.494140625,
        2.49609375,
        2.5009765625,
        2.505859375,
        2.5126953125,
        2.4892578125,
        2.50390625,
        2.5,
        2.5068359375,
        2.50390625,
        2.5029296875,
        2.490234375,
        2.5009765625,
        2.4990234375,
        3.982421875,
        2.4833984375,
        2.486328125,
        2.482421875,
        2.4921875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.98046875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875,
        3.982421875
    ],
    "relative_depth_range_per_image": [
        0.5731439446235264,
        0.5731439446235264,
        0.5738418017400532,
        0.5736094363751192,
        0.5733768174746696,
        0.5738418017400532,
        0.5733768174746696,
        0.5733768174746696,
        0.5734815273814158,
        0.5733768174746696,
        0.5738418017400532,
        0.5732487688595209,
        0.5734815273814158,
        0.5731439446235264,
        0.5734168703114423,
        0.5731439446235264,
        0.5738418017400532,
        0.5736094363751192,
        0.5733768174746696,
        0.5729108174056042,
        0.5733768174746696,
        0.5731439446235264,
        0.5736094363751192,
        0.5733768174746696,
        0.5736094363751192,
        0.5733768174746696,
        0.5738820644342328,
        0.5736094363751192,
        0.5733768174746696,
        0.5731439446235264,
        0.5736094363751192,
        0.5731439446235264,
        0.5736495942669982,
        0.5731439446235264,
        0.5733768174746696,
        0.5733768174746696,
        0.5733768174746696,
        0.5733768174746696,
        0.5738418017400532,
        0.5738418017400532,
        0.5738418017400532,
        0.5736094363751192,
        0.5741142812280589,
        0.5734168703114423,
        0.5726774354039088,
        0.5738820644342328,
        0.5738418017400532,
        0.5736094363751192,
        0.5740739139837451,
        0.5736495942669982,
        0.5733768174746696,
        0.5734168703114423,
        0.5732487688595209,
        0.5736495942669982,
        0.5738820644342328,
        0.5738418017400532,
        0.5736094363751192,
        0.5732667611830885,
        0.5729108174056042,
        0.5736495942669982,
        0.5733768174746696,
        0.5736495942669982,
        0.5733768174746696,
        0.5733768174746696,
        0.5738418017400532,
        0.5731439446235264,
        0.5731439446235264,
        0.5736495942669982,
        0.5733768174746696,
        0.5731439446235264,
        0.5726774354039088,
        0.5862443776434927,
        0.9118657845229979,
        0.9102812926889182,
        0.9060878784953845,
        0.9371667910589899,
        0.9359669760115179,
        0.9291957737828331,
        0.9312797136314499,
        0.9238507674692906,
        0.9236942352130364,
        0.9129888968148003,
        0.9126646134279457,
        0.9198009483502426,
        0.9054035252693406,
        0.9015267316002836,
        0.9033085430357585,
        0.9078160570523812,
        0.9043204905935682,
        0.9077475309177974,
        0.9122883135252202,
        0.9096396641836185,
        0.9147813003001323,
        0.9169502155442996,
        0.9182141691169716,
        0.9204878817156218,
        0.9252788885076434,
        0.92653086500104,
        0.9313771617427699,
        0.9241767451579204,
        0.9261490619246592,
        0.9145799202762008,
        0.9186801318746679,
        0.9115070883636411,
        0.9231311026935874,
        0.9124058537540166,
        0.9095124909104435,
        0.8136334601636445,
        0.8183613451971702,
        0.5809759858792541,
        0.580680407624386,
        0.5726613066800729,
        0.567522159279383,
        0.5715066889800412,
        0.5740739139837451,
        0.5731439446235264,
        0.5733768174746696,
        0.5734168703114423,
        0.5731838921517461,
        0.5726774354039088,
        0.5724437982005333,
        0.5728710189356104,
        0.5731439446235264,
        0.5726774354039088,
        0.5726774354039088,
        0.5729108174056042,
        0.5729108174056042,
        0.5732267902388889,
        0.5731439446235264,
        0.5730157561581979,
        0.5733768174746696,
        0.5728710189356104,
        0.5733768174746696,
        0.5738418017400532,
        0.5726774354039088,
        0.5731439446235264,
        0.5738418017400532,
        0.5731439446235264,
        0.5729108174056042,
        0.5727171715521094,
        0.5729506593711816,
        0.5726774354039088,
        0.5733768174746696,
        0.5729108174056042,
        0.5726774354039088,
        0.5722099053766567,
        0.5728710189356104,
        0.5731439446235264,
        0.5729108174056042,
        0.5728710189356104,
        0.5726377426594624,
        0.5733768174746696,
        0.5731439446235264,
        0.5728710189356104,
        0.5729108174056042,
        0.5731838921517461,
        0.5727171715521094,
        0.5729108174056042,
        0.5721704248489571,
        0.5725489665500166,
        0.5729108174056042,
        0.5729108174056042,
        0.5724834282759763,
        0.5729108174056042,
        0.5724437982005333,
        0.5726377426594624,
        0.571936382477337,
        0.5729108174056042,
        0.5729108174056042,
        0.5731439446235264,
        0.5734168703114423,
        0.5724437982005333,
        0.5740739139837451,
        0.5637997253145254,
        0.5248987628893617,
        0.948066100708001,
        0.9448296398711393,
        0.9490088424687133,
        0.9480611531921564,
        0.9443260244264958,
        0.9406690394642594,
        0.9460875221391432,
        0.9515972216178168,
        0.9479847074490872,
        0.9470810229648207,
        0.9422154278762717,
        0.938118888102988,
        0.9357254695972725,
        0.9201591460523124,
        0.9300685226810365,
        0.9261606126786165,
        0.9211884838199274,
        0.9132194056876066,
        0.9144169233763071,
        0.9164985218840612,
        0.9368683407816807,
        0.9392649758549646,
        0.928809842546364,
        0.9366759429351961,
        0.9342375573371119,
        0.9299315087408001,
        0.925975696417261,
        0.9248741777145206,
        0.9226836922661701,
        0.9206927270045961,
        0.9198277996987808,
        0.9190931539536925,
        0.9189242088181746,
        0.9196280679058215,
        0.9201386271605683,
        0.9208214643673595,
        0.9237681353514805,
        0.9261802921087169,
        0.9278336408606771,
        0.9186910386261314,
        0.9257655471880786,
        0.9228168225298056,
        0.9164282580715146,
        0.896896336151613,
        0.8975558973699039,
        0.9004367132765266,
        0.9028795767760723,
        0.9061245360642376,
        0.9236838275901864,
        0.9255262528859766,
        0.9228616061197665,
        0.9238659319629733,
        0.9065759323960824,
        0.9088898115579235,
        0.9069852206708937,
        0.918636559841932,
        0.8917722492615175,
        0.895307866443906,
        0.9012249661744588,
        0.9039614057046683,
        0.9086011113131711,
        0.8426697052912157,
        0.8698010913627988,
        0.8860634436898015,
        0.8989587900495675,
        0.9083974265950209,
        0.901195174815802,
        0.9025897708583974,
        0.5598387303582106,
        0.5761103494211816,
        0.5749591013693319,
        0.5735693222520474,
        0.5724042114366359,
        0.5740335906885147,
        0.5740335906885147,
        0.5733368083160055,
        0.5731439446235264,
        0.5731439446235264,
        0.5724042114366359,
        0.5728710189356104,
        0.5736094363751192,
        0.5740739139837451,
        0.5729108174056042,
        0.5733368083160055,
        0.5733368083160055,
        0.573104040682341,
        0.5731439446235264,
        0.5728710189356104,
        0.5729108174056042,
        0.5731439446235264,
        0.5733768174746696,
        0.5734594909426066,
        0.5720594677820309,
        0.5731439446235264,
        0.5729108174056042,
        0.5731439446235264,
        0.5731439446235264,
        0.5731439446235264,
        0.5731439446235264,
        0.5722934428571663,
        0.5729108174056042,
        0.5726774354039088,
        0.5733768174746696,
        0.5728710189356104,
        0.5726377426594624,
        0.5724042114366359,
        0.5726774354039088,
        0.5726774354039088,
        0.5729108174056042,
        0.5726774354039088,
        0.5726774354039088,
        0.5729108174056042,
        0.5730157561581979,
        0.5726774354039088,
        0.5733768174746696,
        0.5729108174056042,
        0.5726774354039088,
        0.5726774354039088,
        0.5727171715521094,
        0.5724437982005333,
        0.5729108174056042,
        0.5724437982005333,
        0.5722099053766567,
        0.5729108174056042,
        0.5724437982005333,
        0.5722099053766567,
        0.5729108174056042,
        0.5743057735195667,
        0.5724437982005333,
        0.5726774354039088,
        0.5731439446235264,
        0.5722099053766567,
        0.5729108174056042,
        0.57369193802165,
        0.5738418017400532,
        0.5736094363751192,
        0.5740739139837451,
        0.5736094363751192,
        0.5738418017400532,
        0.5736495942669982,
        0.5733768174746696,
        0.5736094363751192,
        0.5729108174056042,
        0.5733768174746696,
        0.5731439446235264,
        0.5729108174056042,
        0.5736094363751192,
        0.5733768174746696,
        0.5738418017400532,
        0.5729108174056042,
        0.5736094363751192,
        0.5738418017400532,
        0.5729108174056042,
        0.5731439446235264,
        0.5729108174056042,
        0.5733768174746696,
        0.5729108174056042,
        0.5734815273814158,
        0.5731439446235264,
        0.5731439446235264,
        0.5726774354039088,
        0.5729108174056042,
        0.5731439446235264,
        0.5729108174056042,
        0.5729108174056042,
        0.5736094363751192,
        0.5736094363751192,
        0.5729108174056042,
        0.5731439446235264,
        0.5726774354039088,
        0.5730157561581979,
        0.5736094363751192,
        0.573104040682341,
        0.5734815273814158,
        0.5738418017400532,
        0.5736094363751192,
        0.5737140321395592,
        0.5736094363751192,
        0.5736094363751192,
        0.5737140321395592,
        0.5737140321395592,
        0.5740739139837451,
        0.5736094363751192,
        0.5736094363751192,
        0.5736094363751192,
        0.5736094363751192,
        0.5733768174746696,
        0.5733768174746696,
        0.5736094363751192,
        0.5736094363751192,
        0.57369193802165,
        0.5738418017400532,
        0.5731838921517461,
        0.5741142812280589,
        0.5738418017400532,
        0.5738418017400532,
        0.5736094363751192,
        0.5736094363751192,
        0.5736094363751192,
        0.5736094363751192,
        0.5736094363751192,
        0.5733768174746696,
        0.5738418017400532,
        0.5733768174746696,
        0.5738418017400532,
        0.5736094363751192,
        0.5738418017400532,
        0.5733768174746696,
        0.5736094363751192,
        0.5733768174746696,
        0.5733768174746696,
        0.5729108174056042,
        0.5733368083160055,
        0.5729108174056042,
        0.5729108174056042,
        0.5736094363751192,
        0.5731439446235264,
        0.5729108174056042,
        0.5736094363751192,
        0.5736094363751192,
        0.5720129335130267,
        0.5720129335130267,
        0.5734168703114423,
        0.5738820644342328,
        0.5733768174746696,
        0.5738015829050052,
        0.5738015829050052,
        0.5740739139837451,
        0.5733768174746696,
        0.5733768174746696,
        0.5736094363751192,
        0.5736094363751192,
        0.5738418017400532,
        0.5738418017400532,
        0.5736094363751192,
        0.5740739139837451,
        0.5733768174746696,
        0.5736094363751192,
        0.5731439446235264,
        0.5736094363751192,
        0.5738418017400532,
        0.5736094363751192,
        0.5738418017400532,
        0.5728710189356104,
        0.5739060176754704,
        0.5736094363751192,
        0.5738418017400532,
        0.5738418017400532,
        0.5740739139837451,
        0.5738418017400532,
        0.5731439446235264,
        0.5738418017400532,
        0.5735693222520474,
        0.5738418017400532,
        0.5733368083160055,
        0.5736094363751192,
        0.5738418017400532,
        0.5736094363751192,
        0.5732487688595209,
        0.5731439446235264,
        0.5731439446235264,
        0.5733768174746696,
        0.5731838921517461,
        0.5736094363751192,
        0.5735693222520474,
        0.5731439446235264,
        0.5726774354039088,
        0.5730157561581979,
        0.5738418017400532,
        0.5731439446235264,
        0.5736094363751192,
        0.5735693222520474,
        0.5738418017400532,
        0.5726774354039088,
        0.5731439446235264,
        0.5738418017400532,
        0.5733768174746696,
        0.5743877616504167,
        0.5736094363751192,
        0.5733768174746696,
        0.5733768174746696,
        0.5736094363751192,
        0.5729108174056042,
        0.5733768174746696,
        0.5726774354039088,
        0.5733768174746696,
        0.5731439446235264,
        0.5733768174746696,
        0.5732267902388889,
        0.5733768174746696,
        0.5729108174056042,
        0.573104040682341,
        0.5742653460153117,
        0.5732267902388889,
        0.5736094363751192,
        0.5733768174746696,
        0.5729108174056042,
        0.5726774354039088,
        0.5730157561581979,
        0.5736094363751192,
        0.5733768174746696,
        0.573104040682341,
        0.5733768174746696,
        0.5746592402040703,
        0.5739627216872742,
        0.5731439446235264,
        0.5731439446235264,
        0.5729108174056042,
        0.5728710189356104,
        0.5729108174056042,
        0.5729108174056042,
        0.5733768174746696,
        0.5733768174746696,
        0.5736094363751192,
        0.5735693222520474,
        0.5735693222520474,
        0.5731439446235264,
        0.5727824888608618,
        0.5729108174056042,
        0.5733768174746696,
        0.5729108174056042,
        0.5733368083160055,
        0.5738418017400532,
        0.5729108174056042,
        0.5731439446235264,
        0.5736094363751192,
        0.5731439446235264,
        0.5731439446235264,
        0.5730337010413681,
        0.5733768174746696,
        0.5733768174746696,
        0.5738418017400532,
        0.5736094363751192,
        0.5736094363751192,
        0.5736094363751192,
        0.5729108174056042,
        0.5733768174746696,
        0.5736094363751192,
        0.5731439446235264,
        0.5733368083160055,
        0.5731439446235264,
        0.5733768174746696,
        0.5736094363751192,
        0.5733768174746696,
        0.5733768174746696,
        0.5733768174746696,
        0.5733768174746696,
        0.5736094363751192,
        0.5733768174746696,
        0.5738418017400532,
        0.5731439446235264,
        0.5736094363751192,
        0.5733768174746696,
        0.5733768174746696,
        0.5733768174746696,
        0.5736094363751192,
        0.5729108174056042,
        0.5733768174746696,
        0.5724437982005333,
        0.5736094363751192,
        0.5733768174746696,
        0.5736094363751192,
        0.5736094363751192,
        0.5734594909426066,
        0.5733768174746696,
        0.5733768174746696,
        0.5731439446235264,
        0.5733768174746696,
        0.573104040682341,
        0.5733368083160055,
        0.5731439446235264,
        0.5731439446235264,
        0.5737140321395592,
        0.5733768174746696,
        0.5733768174746696,
        0.5826665075598656,
        0.4967125218166922,
        0.6822399940302264,
        0.5058100329407766,
        0.5506476549283867,
        0.5759527495023499,
        0.7933699413229779,
        0.7512387749811383,
        0.8093869824644695,
        0.7990019450004819,
        0.7886299569645493,
        0.7879307562616915,
        0.7827778874682647,
        0.7723085018258123,
        0.774061998358285,
        0.758644750581431,
        0.7613151415888596,
        0.7485863015715997,
        0.7473382664036959,
        0.7383058979357762,
        0.7409024637214405,
        0.7314553012560432,
        0.7289913352636108,
        0.7098433806397932,
        0.7081557712228689,
        0.6899154228835582,
        0.6803392161713729,
        0.6658482882788754,
        0.6539814412695575,
        0.6257925860424214,
        0.6242080791030707,
        0.6048726626449129,
        0.5877724835049178,
        0.5755444169509898,
        0.5555553555243726,
        0.5418422802930749,
        0.5351862955556768,
        0.526722735807285,
        0.5219359533308444,
        0.5087779069562581,
        0.5131123100665957,
        0.5020659386654541,
        0.4986243085999683,
        0.4867524060362667,
        0.4828882633546948,
        0.48087414876532497,
        0.4799044647744646,
        0.47688630580163927,
        0.4776723649741198,
        0.48160518623287263,
        0.4799329460028974,
        0.47753169383217486,
        0.4779262577269271,
        0.4783042423953457,
        0.47831871587779684,
        0.48074352845903945,
        0.4803985076650924,
        0.4807690675372927,
        0.48314590391890094,
        0.4838388867245976,
        0.4848582960846296,
        0.48417913783802335,
        0.4858736867494562,
        0.48467725598765293,
        0.4865572136935781,
        0.4888959828120554,
        0.4875571384222299,
        0.48316815354317183,
        0.48417913783802335,
        0.5482099996053581,
        0.5368313505237486,
        0.5274756823263591,
        0.5361586991622679,
        0.5263315560037792,
        0.5571588651582688,
        0.5576595333399202,
        0.5566570623181779,
        0.5538766912286968,
        0.5526013247959529,
        0.5559339667017654,
        0.5550056673986163,
        0.5526013247959529,
        0.5458500989696746,
        0.5591547682888781,
        0.5602572216967608,
        0.5633368926180307,
        0.562360017937176,
        0.5640666914751276,
        0.5660009485343951,
        0.56576010562199,
        0.566481833773574,
        0.5649998392889346,
        0.56514474458634,
        0.5621151159468721,
        0.5635804302547796,
        0.5621151159468721,
        0.5628490010174925,
        0.5621151159468721,
        0.5640310196080834,
        0.5623251604748563,
        0.5608864830674077,
        0.5573768878592614,
        0.562080375959087,
        0.5641739459503011,
        0.5619740394107077,
        0.5577247959507099,
        0.5607081016961506,
        0.5599660547845607,
        0.5619393006093487,
        0.5591547682888781,
        0.5591547682888781,
        0.5551448071437514,
        0.5584084165321054,
        0.552118967534415,
        0.537925373989316,
        0.48654839297061864,
        0.48789250667476214,
        0.48789250667476214,
        0.4858736867494562,
        0.48143219728562,
        0.48075630647164636,
        0.47970708874914875,
        0.4786807161328936,
        0.47727256392810646,
        0.4760452350362169,
        0.47647833067412276,
        0.4740214286781569,
        0.47289956495624846,
        0.47072822259166097,
        0.4727147053001848,
        0.4705679391301952,
        0.47258379577594006,
        0.471457880752108,
        0.4716409072931766,
        0.47030370110808356,
        0.468857965359669,
        0.4617273620755552,
        0.46242960901407315,
        0.4624032067811371,
        0.4624032067811371,
        0.46348297942185007,
        0.4630800020415182,
        0.46556553874240625,
        0.46551707364902056,
        0.46680774081528015,
        0.47587395549128303,
        0.5283730955062894,
        0.553646604299541,
        0.583898136183138,
        0.5539303573355618,
        0.5870179702079361,
        0.5893396574573588,
        0.5997228215744683,
        0.6020462896860065,
        0.5872830631855905,
        0.591907339273666,
        0.5916761915377123,
        0.5943560821220963,
        0.6196916459725932,
        0.6352681679861435,
        0.6346799523254009,
        0.6398874563919227,
        0.6475546197032236,
        0.6437605925213207,
        0.640807770437015,
        0.6508166083908381,
        0.6144536856767252,
        0.6161182135180754,
        0.6507350899654619,
        0.6281538369091869,
        0.6256828412912467,
        0.6322534927707231,
        0.6915750986229368,
        0.7125135805915362,
        0.7080955743757502,
        0.7113503653957545,
        0.7063018064051576,
        0.6919467307395044,
        0.6809342778728852,
        0.712106779153658,
        0.6971117905906494,
        0.7056220924480118,
        0.6732102094153694,
        0.7050494560173516,
        0.7246507193084729,
        0.7475626742790724,
        0.7578122244319183,
        0.7766405097812695,
        0.7828619075439599,
        0.8036850379257693,
        0.8066334417810005,
        0.8294570650584796,
        0.8306959034343864,
        0.8230116668670138,
        0.8071275938159832,
        0.8311963213843,
        0.8339797124739912,
        0.6816803153085976,
        0.5556849652998821,
        0.5651925797173465,
        0.5584376933180736,
        0.5745373807599896,
        0.5726774354039088,
        0.5728003861891815,
        0.5729108174056042,
        0.5729108174056042,
        0.5726774354039088,
        0.5721704248489571,
        0.5731439446235264,
        0.5729108174056042,
        0.5726774354039088,
        0.5724437982005333,
        0.5724437982005333,
        0.5728710189356104,
        0.5719757565125411,
        0.5729108174056042,
        0.5724437982005333,
        0.5726774354039088,
        0.5724437982005333,
        0.5726774354039088,
        0.5724437982005333,
        0.5733768174746696,
        0.5722099053766567,
        0.5724437982005333,
        0.5724437982005333,
        0.5724437982005333,
        0.5738418017400532,
        0.5734168703114423,
        0.5740739139837451,
        0.5738418017400532,
        0.5729108174056042,
        0.5726774354039088,
        0.5724437982005333,
        0.5733768174746696,
        0.5741142812280589,
        0.5732487688595209,
        0.5731439446235264,
        0.5729108174056042,
        0.5729108174056042,
        0.5729108174056042,
        0.5737140321395592,
        0.5736094363751192,
        0.5731439446235264,
        0.5733768174746696,
        0.5733768174746696,
        0.5731838921517461,
        0.5733768174746696,
        0.5736094363751192,
        0.5725584870976839,
        0.5723251675597785,
        0.5732569207475253,
        0.5733768174746696,
        0.5726774354039088,
        0.5726774354039088,
        0.5729506593711816,
        0.5733368083160055,
        0.5733768174746696,
        0.5729108174056042,
        0.5729108174056042,
        0.5736094363751192,
        0.5727824888608618,
        0.5731439446235264,
        0.5726774354039088,
        0.5726774354039088,
        0.5729108174056042,
        0.5724437982005333,
        0.5729108174056042,
        0.5724042114366359,
        0.5733768174746696,
        0.5726774354039088,
        0.5731439446235264,
        0.5731439446235264,
        0.5726774354039088,
        0.5736094363751192,
        0.5726774354039088,
        0.5722099053766567,
        0.5724437982005333,
        0.5726774354039088,
        0.5731439446235264,
        0.5726774354039088,
        0.5731439446235264,
        0.5726774354039088,
        0.5731439446235264,
        0.5724437982005333,
        0.5724437982005333,
        0.5731439446235264,
        0.5729108174056042,
        0.5726774354039088,
        0.5729108174056042,
        0.5722099053766567,
        0.5731439446235264,
        0.5724437982005333,
        0.5729108174056042,
        0.5726774354039088,
        0.5729108174056042,
        0.5733768174746696,
        0.5729108174056042,
        0.5726774354039088,
        0.5726774354039088,
        0.5724437982005333,
        0.5724437982005333,
        0.5727171715521094,
        0.5724437982005333,
        0.5724437982005333,
        0.5724437982005333,
        0.5736094363751192,
        0.5731439446235264,
        0.5727824888608618,
        0.5724437982005333,
        0.5724437982005333,
        0.5731439446235264,
        0.5738820644342328,
        0.5733768174746696,
        0.5731439446235264,
        0.5726774354039088,
        0.5729108174056042,
        0.5729108174056042,
        0.5726774354039088,
        0.5726774354039088,
        0.5724437982005333,
        0.5733768174746696,
        0.5731439446235264,
        0.5731439446235264,
        0.5730157561581979,
        0.5724437982005333,
        0.5726774354039088,
        0.5731838921517461,
        0.5725668162087425,
        0.5733768174746696,
        0.5724834282759763,
        0.5726774354039088,
        0.5729108174056042,
        0.5729108174056042,
        0.5727824888608618,
        0.5732487688595209,
        0.5729108174056042,
        0.5729108174056042,
        0.5736094363751192,
        0.5731439446235264,
        0.5731439446235264,
        0.5731439446235264,
        0.5731838921517461,
        0.5734815273814158,
        0.5729108174056042,
        0.5736094363751192,
        0.5724437982005333,
        0.5729108174056042,
        0.5729108174056042,
        0.5731439446235264,
        0.5726774354039088,
        0.5724437982005333,
        0.5736094363751192,
        0.5729108174056042,
        0.5729108174056042,
        0.5729108174056042,
        0.5726774354039088,
        0.5726774354039088,
        0.5727824888608618,
        0.5729108174056042,
        0.5726774354039088,
        0.5729108174056042,
        0.5724437982005333,
        0.5725668162087425,
        0.5726774354039088,
        0.5731439446235264,
        0.5724437982005333,
        0.5731439446235264,
        0.5724437982005333,
        0.5733768174746696,
        0.5723329906813505,
        0.5725489665500166,
        0.5724437982005333,
        0.5729108174056042,
        0.5726774354039088,
        0.5726774354039088,
        0.5731439446235264,
        0.5731439446235264,
        0.5729108174056042,
        0.5731838921517461,
        0.5727171715521094,
        0.5730556456584491,
        0.5734168703114423,
        0.5731439446235264,
        0.5729506593711816,
        0.5733768174746696,
        0.5722099053766567,
        0.5731439446235264,
        0.5736094363751192,
        0.5729506593711816,
        0.5731838921517461,
        0.5728003861891815,
        0.5729108174056042,
        0.5729506593711816,
        0.5726774354039088,
        0.5727171715521094,
        0.5729506593711816,
        0.5734168703114423,
        0.5720989091873883,
        0.5731838921517461,
        0.5729506593711816,
        0.5731439446235264,
        0.5726774354039088,
        0.5731439446235264,
        0.5729108174056042,
        0.5729108174056042,
        0.5731838921517461,
        0.5727171715521094,
        0.5726774354039088,
        0.5729506593711816,
        0.5729506593711816,
        0.5729108174056042,
        0.5734168703114423,
        0.5733768174746696,
        0.5738418017400532,
        0.5731439446235264,
        0.5722099053766567,
        0.5731838921517461,
        0.5726774354039088,
        0.5731439446235264,
        0.5726774354039088,
        0.5722099053766567,
        0.5730337010413681,
        0.5733768174746696,
        0.5729108174056042,
        0.5734168703114423,
        0.5729506593711816,
        0.5733768174746696,
        0.5725489665500166,
        0.5722494291233127,
        0.5729108174056042,
        0.5731439446235264,
        0.5725489665500166,
        0.5736094363751192,
        0.5731439446235264,
        0.5729108174056042,
        0.5726774354039088,
        0.5726377426594624,
        0.5726774354039088,
        0.5723151888072532,
        0.5726774354039088,
        0.573104040682341,
        0.5733768174746696,
        0.5724437982005333,
        0.5726774354039088,
        0.5731439446235264,
        0.5726774354039088,
        0.5729108174056042,
        0.5732487688595209,
        0.5729108174056042,
        0.5726774354039088,
        0.5726774354039088,
        0.5729108174056042,
        0.5731439446235264,
        0.5733368083160055,
        0.5731838921517461,
        0.5731838921517461,
        0.5728222726584465,
        0.5732667611830885,
        0.5733768174746696,
        0.5733768174746696,
        0.5732487688595209,
        0.5724437982005333,
        0.5733768174746696,
        0.5733768174746696,
        0.5729506593711816,
        0.5728222726584465,
        0.5733768174746696,
        0.5733768174746696,
        0.5733768174746696,
        0.5729108174056042,
        0.5733768174746696,
        0.5735216275243119,
        0.5729108174056042,
        0.5733368083160055,
        0.5726774354039088,
        0.5728710189356104,
        0.5726774354039088,
        0.5726774354039088,
        0.5726774354039088,
        0.5726774354039088,
        0.5736094363751192,
        0.5729108174056042,
        0.5738820644342328,
        0.5727427485084012,
        0.5731838921517461,
        0.5730337010413681,
        0.5729108174056042,
        0.5727824888608618,
        0.5731439446235264,
        0.5725668162087425,
        0.5734168703114423,
        0.5734168703114423,
        0.5733768174746696,
        0.5731838921517461,
        0.5729108174056042,
        0.5732487688595209,
        0.5726774354039088,
        0.5733768174746696,
        0.5729108174056042,
        0.5729506593711816,
        0.5734168703114423,
        0.5733768174746696,
        0.5731838921517461,
        0.5729506593711816,
        0.5733768174746696,
        0.5733768174746696,
        0.5724437982005333,
        0.5733768174746696,
        0.5733768174746696,
        0.5729108174056042,
        0.5729506593711816,
        0.5726774354039088,
        0.5726774354039088,
        0.5729108174056042,
        0.5736094363751192,
        0.5736094363751192,
        0.5731838921517461,
        0.5731439446235264,
        0.5736094363751192,
        0.5726774354039088,
        0.5726377426594624,
        0.5727606262952262,
        0.5736094363751192,
        0.5731439446235264,
        0.5733768174746696,
        0.5736042468104525,
        0.5729506593711816,
        0.5733768174746696,
        0.5736495942669982,
        0.5729108174056042,
        0.5738418017400532,
        0.5733768174746696,
        0.5729108174056042,
        0.5733768174746696,
        0.5731439446235264,
        0.5733768174746696,
        0.5726774354039088,
        0.573104040682341,
        0.5726377426594624,
        0.5728710189356104,
        0.5728710189356104,
        0.5733368083160055,
        0.5728710189356104,
        0.5733368083160055,
        0.5733768174746696,
        0.5731439446235264,
        0.5731838921517461,
        0.5734168703114423,
        0.5731439446235264,
        0.5731439446235264,
        0.5733768174746696,
        0.573104040682341,
        0.5738418017400532,
        0.5731439446235264,
        0.5731439446235264,
        0.5735216275243119,
        0.5741142812280589,
        0.5731838921517461,
        0.5733768174746696,
        0.5736094363751192,
        0.5731439446235264,
        0.5724042114366359,
        0.5726774354039088,
        0.5726774354039088,
        0.5729108174056042,
        0.5726774354039088,
        0.5729108174056042,
        0.5724437982005333,
        0.5733768174746696,
        0.5726774354039088,
        0.5738418017400532,
        0.5724437982005333,
        0.5729108174056042,
        0.5733768174746696,
        0.5728710189356104,
        0.5729108174056042,
        0.5729108174056042,
        0.5729108174056042,
        0.5731439446235264,
        0.5729108174056042,
        0.5724437982005333,
        0.5733768174746696,
        0.5731439446235264,
        0.5724437982005333,
        0.5731439446235264,
        0.5731439446235264,
        0.5733768174746696,
        0.5733768174746696,
        0.573104040682341,
        0.5721704248489571,
        0.5724437982005333,
        0.5733768174746696,
        0.5726774354039088,
        0.5729108174056042,
        0.5724042114366359,
        0.5729108174056042,
        0.5729108174056042,
        0.5726774354039088,
        0.5729108174056042,
        0.5731439446235264,
        0.5736094363751192,
        0.5731439446235264,
        0.5738418017400532,
        0.5729108174056042,
        0.5727171715521094,
        0.5726774354039088,
        0.5729108174056042,
        0.5724437982005333,
        0.5727824888608618,
        0.5731439446235264,
        0.5724437982005333,
        0.5731439446235264,
        0.5726774354039088,
        0.5731439446235264,
        0.5733768174746696,
        0.5729108174056042,
        0.5726377426594624,
        0.5729108174056042,
        0.5740739139837451,
        0.5726774354039088,
        0.5729108174056042,
        0.573104040682341,
        0.5722756604415866,
        0.5726774354039088,
        0.5724437982005333,
        0.5736094363751192,
        0.5736094363751192,
        0.5731439446235264,
        0.5729108174056042,
        0.5733768174746696,
        0.5726774354039088,
        0.5724437982005333,
        0.5733768174746696,
        0.5733368083160055,
        0.5738418017400532,
        0.5731439446235264,
        0.5726774354039088,
        0.5729108174056042,
        0.5727824888608618,
        0.5727824888608618,
        0.5726774354039088,
        0.5726774354039088,
        0.5731439446235264,
        0.5726774354039088,
        0.5729108174056042,
        0.5724437982005333,
        0.5729108174056042,
        0.5731439446235264,
        0.5733768174746696,
        0.5731439446235264,
        0.5729108174056042,
        0.5730337010413681,
        0.5733768174746696,
        0.5729108174056042,
        0.5722099053766567,
        0.5731439446235264,
        0.5729108174056042,
        0.5729108174056042,
        0.5733768174746696,
        0.5729108174056042,
        0.5731439446235264,
        0.5724437982005333,
        0.5731439446235264,
        0.5729108174056042,
        0.5729108174056042,
        0.5724437982005333,
        0.5733768174746696,
        0.5724042114366359,
        0.5729108174056042,
        0.5729108174056042,
        0.5733368083160055,
        0.5733768174746696,
        0.5731439446235264,
        0.5731439446235264,
        0.5726774354039088,
        0.5731439446235264,
        0.5738418017400532,
        0.5724437982005333,
        0.5729108174056042,
        0.5724437982005333,
        0.5731439446235264,
        0.5733768174746696,
        0.5731439446235264,
        0.5728710189356104,
        0.5729108174056042,
        0.5729108174056042,
        0.5726774354039088,
        0.5724437982005333,
        0.5724042114366359,
        0.5729108174056042,
        0.5737140321395592,
        0.57201517367373,
        0.5721704248489571,
        0.5726774354039088,
        0.5729108174056042,
        0.5726774354039088,
        0.5717806615059186,
        0.5726774354039088,
        0.5729108174056042,
        0.5736094363751192,
        0.5729108174056042,
        0.5729108174056042,
        0.5726774354039088,
        0.5726774354039088,
        0.5726774354039088,
        0.5732667611830885,
        0.5733768174746696,
        0.5724437982005333,
        0.5731439446235264,
        0.5726774354039088,
        0.5724437982005333,
        0.5719757565125411,
        0.5726774354039088,
        0.5719757565125411,
        0.5726774354039088,
        0.5722099053766567,
        0.5723151888072532,
        0.5731439446235264,
        0.5729108174056042,
        0.5729506593711816,
        0.5736094363751192,
        0.5733368083160055,
        0.5733768174746696,
        0.5738418017400532,
        0.5733768174746696,
        0.5731439446235264,
        0.5724437982005333,
        0.5722099053766567,
        0.5726774354039088,
        0.5733768174746696,
        0.5735216275243119,
        0.5731439446235264,
        0.5726774354039088,
        0.5729108174056042,
        0.573104040682341,
        0.5740739139837451,
        0.574768736116589,
        0.5733768174746696,
        0.5731439446235264,
        0.5733768174746696,
        0.5729108174056042,
        0.5731439446235264,
        0.5737140321395592,
        0.5736094363751192,
        0.5731439446235264,
        0.5726774354039088,
        0.5731439446235264,
        0.5733768174746696,
        0.5724437982005333,
        0.5724437982005333,
        0.5729108174056042,
        0.5733768174746696,
        0.5735693222520474,
        0.5731439446235264,
        0.5745373807599896,
        0.5740739139837451,
        0.5738015829050052,
        0.5733768174746696,
        0.5731439446235264,
        0.5740739139837451,
        0.5738418017400532,
        0.5729108174056042,
        0.5731439446235264,
        0.57369193802165,
        0.5738418017400532,
        0.5740739139837451,
        0.5740739139837451,
        0.5738418017400532,
        0.5740739139837451,
        0.5740739139837451,
        0.5740739139837451,
        0.5738015829050052,
        0.5742653460153117,
        0.5740739139837451,
        0.5740739139837451,
        0.5740335906885147,
        0.5733368083160055,
        0.5735693222520474,
        0.5733768174746696,
        0.5733768174746696,
        0.5738418017400532,
        0.5736094363751192,
        0.5736094363751192,
        0.5733768174746696,
        0.5733768174746696,
        0.5736094363751192,
        0.5736094363751192,
        0.5738418017400532,
        0.5733768174746696,
        0.5731439446235264,
        0.5731439446235264,
        0.5736094363751192,
        0.5731439446235264,
        0.5736094363751192,
        0.5733768174746696,
        0.5729108174056042,
        0.5729108174056042,
        0.5736094363751192,
        0.5731838921517461,
        0.5729108174056042,
        0.5733768174746696,
        0.5729108174056042,
        0.5731439446235264,
        0.5729108174056042,
        0.5733368083160055,
        0.5736094363751192,
        0.5733768174746696,
        0.5724437982005333,
        0.5726774354039088,
        0.5733768174746696,
        0.5740739139837451,
        0.5740335906885147,
        0.5731439446235264,
        0.5731439446235264,
        0.5734815273814158,
        0.5736094363751192,
        0.5733768174746696,
        0.5736094363751192,
        0.5736094363751192,
        0.5740739139837451,
        0.5740739139837451,
        0.5740739139837451,
        0.5733768174746696,
        0.5743057735195667,
        0.5736094363751192,
        0.5738418017400532,
        0.5736094363751192,
        0.5736094363751192,
        0.5737140321395592,
        0.5736094363751192,
        0.5736094363751192,
        0.5732487688595209,
        0.5733768174746696,
        0.5731439446235264,
        0.5731439446235264,
        0.5736495942669982,
        0.5731838921517461,
        0.5731838921517461,
        0.5732667611830885,
        0.5729108174056042,
        0.5731439446235264,
        0.5726774354039088,
        0.5733768174746696,
        0.5734815273814158,
        0.5725271622219087,
        0.5729108174056042,
        0.5736094363751192,
        0.5733768174746696,
        0.5727606262952262,
        0.5731439446235264,
        0.5733768174746696,
        0.5731439446235264,
        0.5731439446235264,
        0.5723151888072532,
        0.5736495942669982,
        0.5738418017400532,
        0.5740739139837451,
        0.5729506593711816,
        0.5726774354039088,
        0.5731439446235264,
        0.5738015829050052,
        0.5729108174056042,
        0.5724437982005333,
        0.5729108174056042,
        0.5733768174746696,
        0.5729108174056042,
        0.5731439446235264,
        0.5731439446235264,
        0.5728710189356104,
        0.5731439446235264,
        0.5731838921517461,
        0.5731439446235264,
        0.5727171715521094,
        0.5734168703114423,
        0.5729108174056042,
        0.5738418017400532,
        0.5736094363751192,
        0.5727824888608618,
        0.5733768174746696,
        0.5729108174056042,
        0.5729108174056042,
        0.5727171715521094,
        0.5731838921517461,
        0.5734168703114423,
        0.5733768174746696,
        0.5729108174056042,
        0.5729759101947298,
        0.5729108174056042,
        0.5729108174056042,
        0.5736094363751192,
        0.5733768174746696,
        0.5734168703114423,
        0.5729108174056042,
        0.5735693222520474,
        0.5738418017400532,
        0.5738418017400532,
        0.5736094363751192,
        0.573104040682341,
        0.5738820644342328,
        0.5740739139837451,
        0.5743057735195667,
        0.5733768174746696,
        0.5736094363751192,
        0.5726774354039088,
        0.5728710189356104,
        0.5733768174746696,
        0.5729108174056042,
        0.5729108174056042,
        0.5731439446235264,
        0.5733368083160055,
        0.5738418017400532,
        0.5731439446235264,
        0.5729108174056042,
        0.5734815273814158,
        0.5726774354039088,
        0.5731439446235264,
        0.5736094363751192,
        0.5733768174746696,
        0.5736094363751192,
        0.5736495942669982,
        0.5729108174056042,
        0.5731439446235264,
        0.5733768174746696,
        0.5731838921517461,
        0.5731838921517461,
        0.5733768174746696,
        0.5731439446235264,
        0.5731439446235264,
        0.5731439446235264,
        0.5726774354039088,
        0.5726774354039088,
        0.5729938354951726,
        0.5733768174746696,
        0.5731439446235264,
        0.5725668162087425,
        0.5736094363751192,
        0.5733768174746696,
        0.5740739139837451,
        0.5736094363751192,
        0.5733768174746696,
        0.5731439446235264,
        0.5736094363751192,
        0.5733768174746696,
        0.5741142812280589,
        0.5733768174746696,
        0.5731439446235264,
        0.5738015829050052,
        0.5738418017400532,
        0.5728710189356104,
        0.5733768174746696,
        0.5736094363751192,
        0.5733768174746696,
        0.5733768174746696,
        0.573104040682341,
        0.5731439446235264,
        0.5729108174056042,
        0.5736094363751192,
        0.5729108174056042,
        0.5733768174746696,
        0.5743057735195667,
        0.5736094363751192,
        0.5736094363751192,
        0.5740739139837451,
        0.5733368083160055,
        0.5733368083160055,
        0.5733768174746696,
        0.5735693222520474,
        0.5733768174746696,
        0.5734815273814158,
        0.5736094363751192,
        0.573104040682341,
        0.5740739139837451,
        0.5740739139837451,
        0.5736094363751192,
        0.5729108174056042,
        0.5736094363751192,
        0.5735693222520474,
        0.573104040682341,
        0.5735693222520474,
        0.5733368083160055,
        0.5733768174746696,
        0.5736094363751192,
        0.5738418017400532,
        0.5733768174746696,
        0.573104040682341,
        0.5731439446235264,
        0.5738418017400532,
        0.5731439446235264,
        0.5736094363751192,
        0.5731439446235264,
        0.5729108174056042,
        0.5731439446235264,
        0.5733768174746696,
        0.573104040682341,
        0.5733768174746696,
        0.5733768174746696,
        0.5738418017400532,
        0.5731439446235264,
        0.5729108174056042,
        0.5729108174056042,
        0.5733768174746696,
        0.5731439446235264,
        0.5731439446235264,
        0.5736094363751192,
        0.5733368083160055,
        0.5726377426594624,
        0.5729108174056042,
        0.5737140321395592,
        0.5729108174056042,
        0.5733368083160055,
        0.5738015829050052,
        0.5726377426594624,
        0.5732267902388889,
        0.5733368083160055,
        0.5736094363751192,
        0.5726377426594624,
        0.5722099053766567,
        0.5733768174746696,
        0.5738418017400532,
        0.5737140321395592,
        0.5731439446235264,
        0.5736094363751192,
        0.5738418017400532,
        0.5733768174746696,
        0.5736495942669982,
        0.5743057735195667,
        0.5734995670312174,
        0.5731439446235264,
        0.5733368083160055,
        0.5729108174056042,
        0.5740335906885147,
        0.573104040682341,
        0.573104040682341,
        0.5733368083160055,
        0.5733768174746696,
        0.5740335906885147,
        0.5729108174056042,
        0.5735693222520474,
        0.5735693222520474,
        0.5726377426594624,
        0.5738015829050052,
        0.5739060176754704,
        0.5740739139837451,
        0.5738418017400532,
        0.5736094363751192,
        0.5733768174746696,
        0.5731439446235264,
        0.5738418017400532,
        0.5731439446235264,
        0.5736094363751192,
        0.5740739139837451,
        0.5733368083160055,
        0.5733368083160055,
        0.5729108174056042,
        0.5736094363751192,
        0.5733368083160055,
        0.5731439446235264,
        0.573104040682341,
        0.5738418017400532,
        0.5736094363751192,
        0.5731439446235264,
        0.5736094363751192,
        0.5733768174746696,
        0.57369193802165,
        0.5733368083160055,
        0.5736094363751192,
        0.5733768174746696,
        0.5733768174746696,
        0.5731439446235264,
        0.5736094363751192,
        0.5736094363751192,
        0.5731439446235264,
        0.5731439446235264,
        0.5733768174746696,
        0.5740739139837451,
        0.5733768174746696,
        0.5731439446235264,
        0.5726774354039088,
        0.5729108174056042,
        0.5733768174746696,
        0.5731439446235264,
        0.5731439446235264,
        0.5731439446235264,
        0.5738418017400532,
        0.5733768174746696,
        0.5733768174746696,
        0.5733768174746696,
        0.5735693222520474,
        0.5728710189356104,
        0.5742653460153117,
        0.5733768174746696,
        0.5729108174056042,
        0.5731439446235264,
        0.5733768174746696,
        0.5733368083160055,
        0.5733368083160055,
        0.5731439446235264,
        0.5736094363751192,
        0.5729108174056042,
        0.5731439446235264,
        0.5729108174056042,
        0.5733768174746696,
        0.5738418017400532,
        0.5733768174746696,
        0.573104040682341,
        0.5728710189356104,
        0.5731439446235264,
        0.5726774354039088,
        0.573441470957489,
        0.5727824888608618,
        0.5729108174056042,
        0.5726774354039088,
        0.5731439446235264,
        0.5733768174746696,
        0.5738418017400532,
        0.5733768174746696,
        0.5728710189356104,
        0.5735693222520474,
        0.5731439446235264,
        0.5738418017400532,
        0.5733768174746696,
        0.5733768174746696,
        0.5731439446235264,
        0.5735693222520474,
        0.5731439446235264,
        0.5736094363751192,
        0.5736094363751192,
        0.5728710189356104,
        0.5733768174746696,
        0.5729759101947298,
        0.5733768174746696,
        0.5726377426594624,
        0.5733768174746696,
        0.5729108174056042,
        0.5731439446235264,
        0.5736094363751192,
        0.5736094363751192,
        0.5731439446235264,
        0.5736094363751192,
        0.5733368083160055,
        0.5731439446235264,
        0.5736094363751192,
        0.5738418017400532,
        0.573104040682341,
        0.5731439446235264,
        0.5736094363751192,
        0.5733768174746696,
        0.5731439446235264,
        0.5733768174746696,
        0.5740739139837451,
        0.5738418017400532,
        0.5733768174746696,
        0.5733768174746696,
        0.5733368083160055,
        0.5733768174746696,
        0.5729108174056042,
        0.5727824888608618,
        0.5731439446235264,
        0.5729108174056042,
        0.5726774354039088,
        0.5731439446235264,
        0.5729108174056042,
        0.5729108174056042,
        0.5731439446235264,
        0.5733768174746696,
        0.5731439446235264,
        0.5731439446235264,
        0.5735693222520474,
        0.5736094363751192,
        0.5729108174056042,
        0.5736094363751192,
        0.5731439446235264,
        0.5738418017400532,
        0.5733768174746696,
        0.5731439446235264,
        0.5729108174056042,
        0.5726377426594624,
        0.5731439446235264,
        0.5731439446235264,
        0.573104040682341,
        0.5731439446235264,
        0.5736094363751192,
        0.5733768174746696,
        0.5731439446235264,
        0.5731439446235264,
        0.5736094363751192,
        0.5731439446235264,
        0.5731439446235264,
        0.5726774354039088,
        0.5724437982005333,
        0.5729108174056042,
        0.573104040682341,
        0.5732267902388889,
        0.5726774354039088,
        0.5731439446235264,
        0.5729108174056042,
        0.5736094363751192,
        0.5731439446235264,
        0.5733768174746696,
        0.5736094363751192,
        0.573104040682341,
        0.5726774354039088,
        0.5726377426594624,
        0.5733368083160055,
        0.5731439446235264,
        0.5733768174746696,
        0.5736094363751192,
        0.5736094363751192,
        0.573104040682341,
        0.5733368083160055,
        0.5726377426594624,
        0.5736094363751192,
        0.573104040682341,
        0.5731439446235264,
        0.5735693222520474,
        0.5731439446235264,
        0.5731439446235264,
        0.5733768174746696,
        0.573104040682341,
        0.5732487688595209,
        0.5729108174056042,
        0.5733768174746696,
        0.5733768174746696,
        0.5736094363751192,
        0.5733768174746696,
        0.5729108174056042,
        0.5733768174746696,
        0.5733768174746696,
        0.5733768174746696,
        0.5733768174746696,
        0.5738015829050052,
        0.5731439446235264,
        0.5733768174746696,
        0.5731439446235264,
        0.5731439446235264,
        0.5728710189356104,
        0.5740739139837451,
        0.5738418017400532,
        0.5733768174746696,
        0.573104040682341,
        0.5736094363751192,
        0.5733768174746696,
        0.5731439446235264,
        0.5731439446235264,
        0.5730157561581979,
        0.5740739139837451,
        0.5733768174746696,
        0.5731439446235264,
        0.5726774354039088,
        0.5731439446235264,
        0.5729108174056042,
        0.5726774354039088,
        0.5729108174056042,
        0.5733768174746696,
        0.5731439446235264,
        0.5729108174056042,
        0.5736094363751192,
        0.5728710189356104,
        0.5733768174746696,
        0.5731439446235264,
        0.5726774354039088,
        0.5727824888608618,
        0.5733768174746696,
        0.5728710189356104,
        0.5736094363751192,
        0.5731439446235264,
        0.5733368083160055,
        0.5729108174056042,
        0.5733768174746696,
        0.5731439446235264,
        0.5738418017400532,
        0.5733768174746696,
        0.5743057735195667,
        0.5731439446235264,
        0.5738015829050052,
        0.5733768174746696,
        0.5733368083160055,
        0.5738418017400532,
        0.5733368083160055,
        0.5736094363751192,
        0.5729108174056042,
        0.5727427485084012,
        0.5735693222520474,
        0.5726377426594624,
        0.5733368083160055,
        0.5731439446235264,
        0.5731439446235264,
        0.5733368083160055,
        0.5731439446235264,
        0.5726774354039088,
        0.5726774354039088,
        0.5733768174746696,
        0.5729108174056042,
        0.5729108174056042,
        0.5736094363751192,
        0.5738418017400532,
        0.5738418017400532,
        0.5736094363751192,
        0.5740739139837451,
        0.5736094363751192,
        0.5733768174746696,
        0.5733768174746696,
        0.573104040682341,
        0.5733368083160055,
        0.5734815273814158,
        0.5730157561581979,
        0.5733768174746696,
        0.5731439446235264,
        0.5736094363751192,
        0.5733768174746696,
        0.5733768174746696,
        0.5731439446235264,
        0.5733768174746696,
        0.5728710189356104,
        0.5728710189356104,
        0.5735693222520474,
        0.5733768174746696,
        0.5736094363751192,
        0.5729759101947298,
        0.5728710189356104,
        0.5733768174746696,
        0.5736094363751192,
        0.5726774354039088,
        0.5733768174746696,
        0.5733768174746696,
        0.5729108174056042,
        0.5724834282759763,
        0.5736094363751192,
        0.5729108174056042,
        0.5731439446235264,
        0.5731439446235264,
        0.5731439446235264,
        0.5740335906885147,
        0.5733768174746696,
        0.5733768174746696,
        0.5731439446235264,
        0.5736094363751192,
        0.5733768174746696,
        0.5729108174056042,
        0.5731439446235264,
        0.5732487688595209,
        0.5729108174056042,
        0.5731439446235264,
        0.5733768174746696,
        0.5731439446235264,
        0.5736094363751192,
        0.5731439446235264,
        0.5733768174746696,
        0.5731439446235264,
        0.5733768174746696,
        0.573104040682341,
        0.5733368083160055,
        0.5738015829050052,
        0.5737140321395592,
        0.5731439446235264,
        0.5729108174056042,
        0.5731439446235264,
        0.5738418017400532,
        0.5736094363751192,
        0.5733768174746696,
        0.5731439446235264,
        0.5729108174056042,
        0.5733768174746696,
        0.5729108174056042,
        0.5731439446235264,
        0.5736094363751192,
        0.5726377426594624,
        0.5728710189356104,
        0.5733768174746696,
        0.5733768174746696,
        0.5738418017400532,
        0.5736094363751192,
        0.5736094363751192,
        0.5731439446235264,
        0.5736495942669982,
        0.5736094363751192,
        0.5731439446235264,
        0.5736094363751192,
        0.5729108174056042,
        0.5732267902388889,
        0.5738015829050052,
        0.5726774354039088,
        0.5729506593711816,
        0.5733768174746696,
        0.5732267902388889,
        0.5733768174746696,
        0.5729108174056042,
        0.5731439446235264,
        0.5731439446235264,
        0.5731439446235264,
        0.5725093320632745,
        0.5730157561581979,
        0.5740739139837451,
        0.5726774354039088,
        0.5734168703114423,
        0.5733368083160055,
        0.5732088175391116,
        0.5731439446235264,
        0.5728710189356104,
        0.573104040682341,
        0.5733768174746696,
        0.5734815273814158,
        0.5736094363751192,
        0.5733768174746696,
        0.5732267902388889,
        0.5728710189356104,
        0.5733768174746696,
        0.5728710189356104,
        0.5729108174056042,
        0.5733768174746696,
        0.5731439446235264,
        0.5733368083160055,
        0.5729108174056042,
        0.5726377426594624,
        0.5726774354039088,
        0.5733768174746696,
        0.5728710189356104,
        0.573104040682341,
        0.573104040682341,
        0.5734815273814158,
        0.5736094363751192,
        0.5726774354039088,
        0.5731439446235264,
        0.5726774354039088,
        0.5731439446235264,
        0.5732487688595209,
        0.5732487688595209,
        0.5733768174746696,
        0.5733768174746696,
        0.5733768174746696,
        0.5731439446235264,
        0.5731439446235264,
        0.5733768174746696,
        0.5731439446235264,
        0.5736094363751192,
        0.5733768174746696,
        0.5738418017400532,
        0.5730157561581979,
        0.5728710189356104,
        0.5731439446235264,
        0.5728710189356104,
        0.5733768174746696,
        0.5736094363751192,
        0.5733768174746696,
        0.5738820644342328,
        0.5729108174056042,
        0.5736495942669982,
        0.5731439446235264,
        0.5731439446235264,
        0.5724437982005333,
        0.5731439446235264,
        0.5729108174056042,
        0.5736495942669982,
        0.5729108174056042,
        0.5733768174746696,
        0.5740739139837451,
        0.5731439446235264,
        0.5731439446235264,
        0.5729108174056042,
        0.5741142812280589,
        0.5738418017400532,
        0.5731838921517461,
        0.5736094363751192,
        0.5736495942669982,
        0.5733768174746696,
        0.5733768174746696,
        0.5738418017400532,
        0.5729108174056042,
        0.5731439446235264,
        0.5733768174746696,
        0.5735693222520474,
        0.573104040682341,
        0.573104040682341,
        0.5731439446235264,
        0.5733768174746696,
        0.5733768174746696,
        0.5729108174056042,
        0.5733768174746696,
        0.5728710189356104,
        0.5728710189356104,
        0.5736094363751192,
        0.5731439446235264,
        0.5733768174746696,
        0.5736094363751192,
        0.5736094363751192,
        0.5733768174746696,
        0.5736094363751192,
        0.5731838921517461,
        0.5733768174746696,
        0.5733368083160055,
        0.5726377426594624,
        0.5726377426594624,
        0.5728710189356104,
        0.5728710189356104,
        0.5728710189356104,
        0.573104040682341,
        0.5731439446235264,
        0.5733768174746696,
        0.5734168703114423,
        0.5733768174746696,
        0.5733768174746696,
        0.5738418017400532,
        0.5738418017400532,
        0.5738418017400532,
        0.5733768174746696,
        0.5736094363751192,
        0.5731439446235264,
        0.5736094363751192,
        0.5736094363751192,
        0.573104040682341,
        0.5740739139837451,
        0.5733768174746696,
        0.5734815273814158,
        0.5736094363751192,
        0.5731439446235264,
        0.5736094363751192,
        0.5738418017400532,
        0.5728710189356104,
        0.5736094363751192,
        0.5731439446235264,
        0.5729108174056042,
        0.5736094363751192,
        0.5736094363751192,
        0.5731439446235264,
        0.5736094363751192,
        0.5731439446235264,
        0.5731439446235264,
        0.5733368083160055,
        0.5731838921517461,
        0.5733768174746696,
        0.5731439446235264,
        0.5731439446235264,
        0.5733768174746696,
        0.5740739139837451,
        0.5733768174746696,
        0.5731439446235264,
        0.5736094363751192,
        0.5729108174056042,
        0.5733768174746696,
        0.5739462835487219,
        0.5729108174056042,
        0.5729108174056042,
        0.5733768174746696,
        0.5729108174056042,
        0.5736094363751192,
        0.5733768174746696,
        0.5731439446235264,
        0.5731439446235264,
        0.5730157561581979,
        0.5728710189356104,
        0.5726774354039088,
        0.5729108174056042,
        0.5731439446235264,
        0.5736094363751192,
        0.5732487688595209,
        0.5733768174746696,
        0.5733768174746696,
        0.5731439446235264,
        0.5731439446235264,
        0.5731439446235264,
        0.5740739139837451,
        0.573104040682341,
        0.573441470957489,
        0.573104040682341,
        0.5729759101947298,
        0.5731439446235264,
        0.5731439446235264,
        0.5726774354039088,
        0.5731439446235264,
        0.5736094363751192,
        0.5731439446235264,
        0.5729108174056042,
        0.5738015829050052,
        0.5731439446235264,
        0.5729108174056042,
        0.5727824888608618,
        0.5733768174746696,
        0.5729108174056042,
        0.5736094363751192,
        0.5733768174746696,
        0.5731439446235264,
        0.5732487688595209,
        0.5733768174746696,
        0.5731439446235264,
        0.5729108174056042,
        0.5731439446235264,
        0.5730641802568919,
        0.5725584870976839,
        0.5733768174746696,
        0.5731439446235264,
        0.5733768174746696,
        0.5738418017400532,
        0.5736094363751192,
        0.5736094363751192,
        0.5729108174056042,
        0.5733768174746696,
        0.5729108174056042,
        0.5731439446235264,
        0.573104040682341,
        0.573104040682341,
        0.5729108174056042,
        0.5736094363751192,
        0.5733768174746696,
        0.5733768174746696,
        0.5726774354039088,
        0.5726377426594624,
        0.5731439446235264,
        0.573104040682341,
        0.5726774354039088,
        0.5729108174056042,
        0.5729108174056042,
        0.5733768174746696,
        0.5736094363751192,
        0.5733768174746696,
        0.5731439446235264,
        0.5729108174056042,
        0.5736094363751192,
        0.5733768174746696,
        0.5731439446235264,
        0.5726774354039088,
        0.5731439446235264,
        0.5733768174746696,
        0.5729108174056042,
        0.573104040682341,
        0.5729108174056042,
        0.5731439446235264,
        0.5731439446235264,
        0.5736094363751192,
        0.5724437982005333,
        0.5729108174056042,
        0.5731439446235264,
        0.5726774354039088,
        0.5731439446235264,
        0.5733768174746696,
        0.5733768174746696,
        0.5731439446235264,
        0.5726774354039088,
        0.5726774354039088,
        0.573104040682341,
        0.5727606262952262,
        0.573104040682341,
        0.5733768174746696,
        0.5733368083160055,
        0.5734594909426066,
        0.5736094363751192,
        0.5732487688595209,
        0.5733768174746696,
        0.5733368083160055,
        0.5731439446235264,
        0.5729108174056042,
        0.5736094363751192,
        0.5733768174746696,
        0.5729108174056042,
        0.5733768174746696,
        0.5731439446235264,
        0.5733768174746696,
        0.5731439446235264,
        0.5729108174056042,
        0.5731439446235264,
        0.5733768174746696,
        0.5733768174746696,
        0.5733768174746696,
        0.5731439446235264,
        0.5733768174746696,
        0.5732487688595209,
        0.5733768174746696,
        0.5736094363751192,
        0.5731439446235264,
        0.5736094363751192,
        0.5735693222520474,
        0.5728710189356104,
        0.5733768174746696,
        0.5729108174056042,
        0.5733768174746696,
        0.5733768174746696,
        0.573104040682341,
        0.5736094363751192,
        0.5731439446235264,
        0.5731439446235264,
        0.5733768174746696,
        0.573104040682341,
        0.573104040682341,
        0.5736094363751192,
        0.5736094363751192,
        0.5735693222520474,
        0.5733768174746696,
        0.5738418017400532,
        0.5731439446235264,
        0.5735641234894204,
        0.5733768174746696,
        0.573104040682341,
        0.5731439446235264,
        0.5729108174056042,
        0.5733768174746696,
        0.5733768174746696,
        0.5735693222520474,
        0.5729108174056042,
        0.5729108174056042,
        0.5736094363751192,
        0.5729108174056042,
        0.573104040682341,
        0.5726774354039088,
        0.5731439446235264,
        0.5731439446235264,
        0.573104040682341,
        0.5729108174056042,
        0.5733768174746696,
        0.5731439446235264,
        0.5728710189356104,
        0.5733768174746696,
        0.5731439446235264,
        0.5730157561581979,
        0.5738418017400532,
        0.5731439446235264,
        0.5731439446235264,
        0.5730157561581979,
        0.5733768174746696,
        0.5729108174056042,
        0.5731439446235264,
        0.5731439446235264,
        0.5728710189356104,
        0.5729108174056042,
        0.5736094363751192,
        0.5729759101947298,
        0.5732487688595209,
        0.5729108174056042,
        0.5729108174056042,
        0.5733768174746696,
        0.5731439446235264,
        0.5731439446235264,
        0.5731439446235264,
        0.5725489665500166,
        0.5726774354039088,
        0.5726774354039088,
        0.5729108174056042,
        0.5737140321395592,
        0.5731439446235264,
        0.5736094363751192,
        0.5733368083160055,
        0.5731439446235264,
        0.5733768174746696,
        0.5729108174056042,
        0.5731439446235264,
        0.573104040682341,
        0.5733768174746696,
        0.5730157561581979,
        0.5733768174746696,
        0.5731439446235264,
        0.5729108174056042,
        0.5731439446235264,
        0.5729108174056042,
        0.5729108174056042,
        0.5731439446235264,
        0.5731439446235264,
        0.5731439446235264,
        0.5731439446235264,
        0.5732487688595209,
        0.5729108174056042,
        0.5726774354039088,
        0.5726774354039088,
        0.5729108174056042,
        0.5731439446235264,
        0.5726774354039088,
        0.5726774354039088,
        0.5726774354039088,
        0.5729108174056042,
        0.5722099053766567,
        0.5726774354039088,
        0.5726774354039088,
        0.5726774354039088,
        0.5737140321395592,
        0.5729108174056042,
        0.5727171715521094,
        0.5724437982005333,
        0.5719757565125411,
        0.5724437982005333,
        0.5724437982005333,
        0.5733768174746696,
        0.5729108174056042,
        0.5729108174056042,
        0.5731439446235264,
        0.5736094363751192,
        0.5731439446235264,
        0.5731439446235264,
        0.5731439446235264,
        0.5729108174056042,
        0.5731439446235264,
        0.5728710189356104,
        0.5726377426594624,
        0.5734815273814158,
        0.5729108174056042,
        0.5724437982005333,
        0.5738418017400532,
        0.573104040682341,
        0.5726774354039088,
        0.5729108174056042,
        0.5724437982005333,
        0.5726774354039088,
        0.5729108174056042,
        0.5726774354039088,
        0.5731439446235264,
        0.5728710189356104,
        0.5726774354039088,
        0.5729108174056042,
        0.5731439446235264,
        0.5729108174056042,
        0.5731439446235264,
        0.5729108174056042,
        0.5728710189356104,
        0.5726377426594624,
        0.5726774354039088,
        0.5726774354039088,
        0.5731439446235264,
        0.5726774354039088,
        0.5731439446235264,
        0.5724437982005333,
        0.5731439446235264,
        0.5729108174056042,
        0.5729108174056042,
        0.5724437982005333,
        0.5726774354039088,
        0.5733768174746696,
        0.5729108174056042,
        0.5731439446235264,
        0.573104040682341,
        0.5726774354039088,
        0.5729108174056042,
        0.5726774354039088,
        0.5726774354039088,
        0.5731439446235264,
        0.5726774354039088,
        0.5726774354039088,
        0.5726774354039088,
        0.5728710189356104,
        0.5730157561581979,
        0.5729108174056042,
        0.5724437982005333,
        0.5729108174056042,
        0.5736094363751192,
        0.5733768174746696,
        0.5724437982005333,
        0.5729108174056042,
        0.5733768174746696,
        0.5733768174746696,
        0.5727824888608618,
        0.5729108174056042,
        0.5727824888608618,
        0.5733768174746696,
        0.5726774354039088,
        0.5729506593711816,
        0.5726774354039088,
        0.5726774354039088,
        0.5736094363751192,
        0.5726774354039088,
        0.5726377426594624,
        0.5730337010413681,
        0.5726377426594624,
        0.5726774354039088,
        0.5731439446235264,
        0.5730157561581979,
        0.5731439446235264,
        0.5729108174056042,
        0.5726774354039088,
        0.5724437982005333,
        0.5722099053766567,
        0.5729108174056042,
        0.5724437982005333,
        0.5724437982005333,
        0.5726774354039088,
        0.5724437982005333,
        0.5726774354039088,
        0.5731439446235264,
        0.5724437982005333,
        0.5726774354039088,
        0.5729108174056042,
        0.5737140321395592,
        0.5731439446235264,
        0.5730157561581979,
        0.5731439446235264,
        0.5731439446235264,
        0.5731439446235264,
        0.5726774354039088,
        0.5726774354039088,
        0.5729108174056042,
        0.5729108174056042,
        0.5731439446235264,
        0.5733768174746696,
        0.5733768174746696,
        0.5729108174056042,
        0.5729108174056042,
        0.5733768174746696,
        0.5724042114366359,
        0.5733768174746696,
        0.5724437982005333,
        0.5724437982005333,
        0.5731838921517461,
        0.5726774354039088,
        0.5728003861891815,
        0.5724437982005333,
        0.5724437982005333,
        0.5729506593711816,
        0.5726774354039088,
        0.5731439446235264,
        0.5731439446235264,
        0.5729108174056042,
        0.5726774354039088,
        0.5727171715521094,
        0.5731439446235264,
        0.5729108174056042,
        0.5729506593711816,
        0.5731838921517461,
        0.5729506593711816,
        0.5729108174056042,
        0.5729108174056042,
        0.5727171715521094,
        0.5729108174056042,
        0.5729108174056042,
        0.5726774354039088,
        0.5726774354039088,
        0.5727824888608618,
        0.5731838921517461,
        0.5731439446235264,
        0.5727171715521094,
        0.5734168703114423,
        0.5729108174056042,
        0.5727171715521094,
        0.5726774354039088,
        0.5729108174056042,
        0.5729108174056042,
        0.5731439446235264,
        0.5729108174056042,
        0.5730157561581979,
        0.5725489665500166,
        0.5726774354039088,
        0.5731439446235264,
        0.5724042114366359,
        0.5727824888608618,
        0.5724042114366359,
        0.5729108174056042,
        0.5731439446235264,
        0.5724437982005333,
        0.5726774354039088,
        0.5731838921517461,
        0.5728222726584465,
        0.5730556456584491,
        0.5734168703114423,
        0.5731838921517461,
        0.5733768174746696,
        0.5726774354039088,
        0.5729108174056042,
        0.5724437982005333,
        0.5729108174056042,
        0.5726774354039088,
        0.571936382477337,
        0.5726774354039088,
        0.5730157561581979,
        0.5729108174056042,
        0.5731838921517461,
        0.5726774354039088,
        0.5724437982005333,
        0.5726774354039088,
        0.5726377426594624,
        0.5727824888608618,
        0.5731439446235264,
        0.5724437982005333,
        0.5724437982005333,
        0.5724437982005333,
        0.5729506593711816,
        0.5722099053766567,
        0.5731439446235264,
        0.5731439446235264,
        0.5726774354039088,
        0.5726774354039088,
        0.5729108174056042,
        0.5726774354039088,
        0.5733768174746696,
        0.5726774354039088,
        0.5724437982005333,
        0.5726774354039088,
        0.5727824888608618,
        0.5724437982005333,
        0.5719757565125411,
        0.5722099053766567,
        0.5726774354039088,
        0.5731439446235264,
        0.5726774354039088,
        0.5722099053766567,
        0.5724437982005333,
        0.5729108174056042,
        0.5729108174056042,
        0.5731439446235264,
        0.5724437982005333,
        0.5729108174056042,
        0.5731439446235264,
        0.5724437982005333,
        0.5729108174056042,
        0.5731439446235264,
        0.5729506593711816,
        0.5729108174056042,
        0.5724437982005333,
        0.5724437982005333,
        0.5729938354951726,
        0.5729108174056042,
        0.5724437982005333,
        0.5724437982005333,
        0.5729108174056042,
        0.5727824888608618,
        0.5724437982005333,
        0.5731439446235264,
        0.5729108174056042,
        0.5729108174056042,
        0.5733368083160055,
        0.5729108174056042,
        0.5729108174056042,
        0.5726774354039088,
        0.5724437982005333,
        0.5728710189356104,
        0.5726774354039088,
        0.5726774354039088,
        0.5726377426594624,
        0.5728710189356104,
        0.5726774354039088,
        0.5729108174056042,
        0.5728710189356104,
        0.5728710189356104,
        0.5731439446235264,
        0.5729108174056042,
        0.5726774354039088,
        0.5727824888608618,
        0.5731439446235264,
        0.5724437982005333,
        0.5729506593711816,
        0.5731439446235264,
        0.5729108174056042,
        0.5722099053766567,
        0.5722099053766567,
        0.5726774354039088,
        0.5720594677820309,
        0.5724437982005333,
        0.5724437982005333,
        0.5727824888608618,
        0.5726774354039088,
        0.5729506593711816,
        0.5729506593711816,
        0.5727171715521094,
        0.5727171715521094,
        0.5731439446235264,
        0.5726774354039088,
        0.5726774354039088,
        0.5731838921517461,
        0.5731838921517461,
        0.5733768174746696,
        0.5724042114366359,
        0.5724042114366359,
        0.5729108174056042,
        0.5726377426594624,
        0.5731439446235264,
        0.5733768174746696,
        0.5732267902388889,
        0.5727824888608618,
        0.5731439446235264,
        0.5729108174056042,
        0.5724042114366359,
        0.5731439446235264,
        0.5724437982005333,
        0.5725271622219087,
        0.5728710189356104,
        0.5722099053766567,
        0.5734168703114423,
        0.5715066889800412,
        0.5719757565125411,
        0.5722099053766567,
        0.5724437982005333,
        0.5721704248489571,
        0.5731439446235264,
        0.5729108174056042,
        0.5729108174056042,
        0.5724437982005333,
        0.5724437982005333,
        0.5726774354039088,
        0.5731439446235264,
        0.5728710189356104,
        0.5738418017400532,
        0.5729108174056042,
        0.5738418017400532,
        0.5736094363751192,
        0.5738418017400532,
        0.573104040682341,
        0.5736094363751192,
        0.5733768174746696,
        0.5736094363751192,
        0.5736094363751192,
        0.5731439446235264,
        0.5729108174056042,
        0.5731439446235264,
        0.5736094363751192,
        0.5734594909426066,
        0.5731439446235264,
        0.5733768174746696,
        0.5731439446235264,
        0.5733368083160055,
        0.5735693222520474,
        0.5733368083160055,
        0.5735693222520474,
        0.5735693222520474,
        0.5745373807599896,
        0.5740335906885147,
        0.5736094363751192,
        0.5735693222520474,
        0.5738418017400532,
        0.5729108174056042,
        0.5726774354039088,
        0.5729108174056042,
        0.5731439446235264,
        0.5731439446235264,
        0.5736738708648979,
        0.5734594909426066,
        0.5733368083160055,
        0.5728710189356104,
        0.5735693222520474,
        0.5742653460153117,
        0.5742653460153117,
        0.57369193802165,
        0.5739060176754704,
        0.5742653460153117,
        0.5745373807599896,
        0.5749998400000444,
        0.5747281009452241,
        0.5749591013693319,
        0.5758394935916464,
        0.5746469629645792,
        0.5749998402604892,
        0.5754203501816498,
        0.5754203501816498,
        0.5761103494211816,
        0.5765691043271746,
        0.5761103494211816,
        0.5761103494211816,
        0.5762985416315729,
        0.5765691043271746,
        0.5772553778742553,
        0.5765691043271746,
        0.5766721873698714,
        0.5756505993855169,
        0.5744968492972339,
        0.5740335906885147,
        0.5733368083160055,
        0.5740335906885147,
        0.5744968492972339,
        0.5738015829050052,
        0.5740335906885147,
        0.5733368083160055,
        0.5735693222520474,
        0.5740335906885147,
        0.5744968492972339,
        0.5738015829050052,
        0.5738015829050052,
        0.5732968427640417,
        0.5740335906885147,
        0.5744968492972339,
        0.5744968492972339,
        0.5740335906885147,
        0.5742653460153117,
        0.5742653460153117,
        0.5747281009452241,
        0.5742653460153117,
        0.5742653460153117,
        0.5735693222520474,
        0.5742653460153117,
        0.5742653460153117,
        0.5738015829050052,
        0.5738015829050052,
        0.5743291233485485,
        0.5738418017400532,
        0.5740335906885147,
        0.5738015829050052,
        0.5735693222520474,
        0.5744968492972339,
        0.5742653460153117,
        0.5740335906885147,
        0.5742653460153117,
        0.5742653460153117,
        0.5740335906885147,
        0.5740335906885147,
        0.5742653460153117,
        0.5742653460153117,
        0.5740335906885147,
        0.5738015829050052,
        0.5740335906885147,
        0.5742653460153117,
        0.5742653460153117,
        0.5751898509787168,
        0.5761103494211816,
        0.5767981096156668,
        0.5767981096156668,
        0.5758805989968202,
        0.576339851063344,
        0.5778974146180721,
        0.5777116590456721,
        0.5779394304719587,
        0.5761103494211816,
        0.5751898509787168,
        0.5735693222520474,
        0.5745373807599896,
        0.5739462835487219,
        0.5733368083160055,
        0.5743057735195667,
        0.5743057735195667,
        0.5740739139837451,
        0.5735693222520474,
        0.5733768174746696,
        0.5729108174056042,
        0.573104040682341,
        0.5729108174056042,
        0.5733768174746696,
        0.5731439446235264,
        0.5730157561581979,
        0.5731439446235264,
        0.5729108174056042,
        0.5729108174056042,
        0.5727824888608618,
        0.5729108174056042,
        0.5729108174056042,
        0.5730157561581979,
        0.5731439446235264,
        0.5729108174056042,
        0.5731439446235264,
        0.5731439446235264,
        0.5731439446235264,
        0.5731439446235264,
        0.5729108174056042,
        0.5731439446235264,
        0.5726774354039088,
        0.5729108174056042,
        0.5731439446235264,
        0.5731439446235264,
        0.5731439446235264,
        0.5731439446235264,
        0.5733768174746696,
        0.5732487688595209,
        0.5733768174746696,
        0.5740739139837451,
        0.5733368083160055,
        0.5853204559172902,
        0.560563218586835,
        0.5472577128378361,
        0.49479489047821473,
        0.5464495385904357,
        0.5653537160610145,
        0.577456804187738,
        0.5938003751882522,
        0.7487642046308222,
        0.7251841342630307,
        0.6499425356411346,
        0.6405999271972906,
        0.659090714928397,
        0.6090096074767302,
        0.6092008285574473,
        0.6143510389595466,
        0.5996686708408215,
        0.7288226770312373,
        0.6738187990717065,
        0.6755889926588793,
        0.6720864877315165,
        0.6537933460408796,
        0.6497582245160725,
        0.6390427689390445,
        0.6381714398159266,
        0.6237691143672387,
        0.6230549370550723,
        0.6107191024766004,
        0.608680090582776,
        0.5941670385006861,
        0.5963980894379789,
        0.5836284203984754,
        0.5805082646749777,
        0.5658080903478239,
        0.5608972313537162,
        0.5564969739219982,
        0.5572623705877557,
        0.5485201095373048,
        0.5481428606264479,
        0.5578595418017629,
        0.5882986383379273,
        0.5728861263453663,
        0.5816843991959229,
        0.5786389870255653,
        0.570538078121532,
        0.5688874696384051,
        0.563744855641795,
        0.5593802143415549,
        0.5627117016336772,
        0.5629275461325833,
        0.5695746595128516,
        0.5660009485343951,
        0.5652776169877001,
        0.5674404143009993,
        0.5683947650203421,
        0.5705267331999521,
        0.5688703629412529,
        0.5679181166349665,
        0.5683947650203421,
        0.5655553946864655,
        0.5665186862208607,
        0.566795848004726,
        0.5692698118643835,
        0.5680308125930442,
        0.5675524415355204,
        0.5673128584685964,
        0.5677917594303371,
        0.5682696014626667,
        0.5687843694930402,
        0.568746388073909,
        0.5680684610674864,
        0.5685459971832224,
        0.5685459971832224,
        0.5682696014626667,
        0.5689843866887384,
        0.5690224785535566,
        0.5689843866887384,
        0.5685459971832224,
        0.5690224785535566,
        0.5687843694930402,
        0.5685459971832224,
        0.5692985690332041,
        0.5685459971832224,
        0.5680684610674864,
        0.56782929638505,
        0.5685459971832224,
        0.5685839097815476,
        0.568307361187296,
        0.5681552594604574,
        0.5673128584685964,
        0.5680684610674864,
        0.5685839097815476,
        0.5680684610674864,
        0.5685081264772592,
        0.5681759988347602,
        0.5690224785535566,
        0.5688223929037782,
        0.5685081264772592,
        0.5692603248006146,
        0.5695362629124908,
        0.5692603248006146,
        0.5694979086690958,
        0.5700576586621579,
        0.5693290184474572,
        0.5696968089891095,
        0.5699337600186756,
        0.5696968089891095,
        0.5701704502326524,
        0.5696968089891095,
        0.5699337600186756,
        0.5699337600186756,
        0.5699722910050616,
        0.5695836319587543,
        0.5699722910050616,
        0.5692221227569074,
        0.5697352305929227,
        0.5697352305929227,
        0.5694979086690958,
        0.5692603248006146,
        0.568307361187296,
        0.5685459971832224,
        0.568746388073909,
        0.5694595967126166,
        0.5706430499344466,
        0.5696968089891095,
        0.5694595967126166,
        0.5697352305929227,
        0.5694979086690958,
        0.5697352305929227,
        0.5692603248006146,
        0.5692221227569074,
        0.5690224785535566,
        0.5692603248006146,
        0.5685081264772592,
        0.5685081264772592,
        0.568307361187296,
        0.5691295418618638,
        0.568746388073909,
        0.5689843866887384,
        0.5692221227569074,
        0.5683939795369167,
        0.568746388073909,
        0.5685081264772592,
        0.5682696014626667,
        0.5680308125930442,
        0.568307361187296,
        0.5682696014626667,
        0.568307361187296,
        0.5680308125930442,
        0.568746388073909,
        0.5691295418618638,
        0.5690224785535566,
        0.5694595967126166,
        0.5699337600186756,
        0.5696968089891095,
        0.5701704502326524,
        0.5699337600186756,
        0.5702768758525617,
        0.5706430499344466,
        0.5702768758525617,
        0.5701704502326524,
        0.5708789602802046,
        0.5708789602802046,
        0.5711536854776446,
        0.5710240499248043,
        0.5711536854776446,
        0.5713500040992304,
        0.5716244277323232,
        0.5716244277323232,
        0.5708789602802046,
        0.5708789602802046,
        0.5711536854776446,
        0.5708789602802046,
        0.5708789602802046,
        0.5704068800614287,
        0.5716244277323232,
        0.5696968089891095,
        0.5692221227569074,
        0.5694979086690958,
        0.5694595967126166,
        0.5692603248006146,
        0.5692603248006146,
        0.5699722910050616,
        0.5694595967126166,
        0.5694979086690958,
        0.5697352305929227,
        0.5697352305929227,
        0.5694595967126166,
        0.5699337600186756,
        0.5694595967126166,
        0.5696968089891095,
        0.5696968089891095,
        0.5699337600186756,
        0.5699337600186756,
        0.5706430499344466,
        0.5706819074867235,
        0.5711990711010293,
        0.5708400371937952,
        0.5712205701694072,
        0.5718200149277151,
        0.5704068800614287,
        0.5706430499344466,
        0.5706430499344466,
        0.5702768758525617,
        0.5699722910050616,
        0.5697352305929227,
        0.5699722910050616,
        0.5706430499344466,
        0.5699337600186756,
        0.5694213269731573,
        0.5694213269731573,
        0.5694595967126166,
        0.5696584296998259,
        0.5696968089891095,
        0.5699337600186756,
        0.5697352305929227,
        0.5699337600186756,
        0.5697352305929227,
        0.5697352305929227,
        0.5699337600186756,
        0.5699337600186756,
        0.5704068800614287,
        0.5701704502326524,
        0.5696968089891095,
        0.5704068800614287,
        0.5706430499344466,
        0.5706819074867235,
        0.5703155649747746,
        0.5699722910050616,
        0.5699337600186756,
        0.5696584296998259,
        0.5704744334370765,
        0.5701704502326524,
        0.56989527144393,
        0.5710755804661376,
        0.5708789602802046,
        0.5703681737061544,
        0.5700932974778624,
        0.5703681737061544,
        0.5708400371937952,
        0.5710365922266949,
        0.5708400371937952,
        0.5706042350827646,
        0.5710755804661376,
        0.5713500040992304,
        0.5720546340317958,
        0.5716908647312928,
        0.5715851384247993,
        0.5717806615059186,
        0.5708400371937952,
        0.5711814906060937,
        0.5708789602802046,
        0.5706430499344466,
        0.5703681737061544,
        0.56989527144393,
        0.5708789602802046,
        0.5707492416809403,
        0.5709460636721371,
        0.571310865325747,
        0.5701318526361339,
        0.5699337600186756,
        0.5706430499344466,
        0.5708789602802046,
        0.5708400371937952,
        0.5706042350827646,
        0.5703295098853247,
        0.5706430499344466,
        0.5708789602802046,
        0.5704068800614287,
        0.5701318526361339,
        0.5703681737061544,
        0.5697650407554834,
        0.5699337600186756,
        0.5696584296998259,
        0.5697823283433082,
        0.5701704502326524,
        0.5701704502326524,
        0.5701704502326524,
        0.5696968089891095,
        0.5682318834614782,
        0.5680308125930442,
        0.5692221227569074,
        0.5679932057421109,
        0.5677917594303371,
        0.5677542639987925,
        0.5685081264772592,
        0.5675524415355204,
        0.5675150577931878,
        0.5675150577931878,
        0.5675150577931878,
        0.5678993660878715,
        0.5678993660878715,
        0.5679932057421109,
        0.5675150577931878,
        0.5677542639987925,
        0.5680308125930442,
        0.5677542639987925,
        0.5677168100215552,
        0.5678243163800871,
        0.568194207114614,
        0.5675150577931878,
        0.566592513820551,
        0.5658331723852309,
        0.5665555795471676,
        0.5657966187185626,
        0.5691839628323103,
        0.5691839628323103,
        0.5672755866859909,
        0.5682696014626667,
        0.5682318834614782,
        0.5692526417927489,
        0.5696200926552077,
        0.5695280555243242,
        0.5710365922266949,
        0.5700932974778624,
        0.5709976467375026,
        0.573104040682341,
        0.5722756604415866,
        0.5691839628323103,
        0.5679932057421109,
        0.5700547846878847,
        0.5681189791081537,
        0.5647580382678623,
        0.5696968089891095,
        0.5746721495182192,
        0.5742871194983524,
        0.5497243146990434,
        0.5483963377382362,
        0.540548433654861,
        0.5408286792912723,
        0.4865860166787119,
        0.4936791398777647,
        0.5003292120101736,
        0.495289196777881,
        0.48322142031801885,
        0.5065833268394572,
        0.49508409165515804,
        0.5178815232769326,
        0.5243096836117611,
        0.5455157345539777,
        0.5474681573110431,
        0.558741058688516,
        0.577083128148221,
        0.5746565722628215,
        0.5767043357438779,
        0.5854698719654028,
        0.5896795004157265,
        0.6095303612521017,
        0.6088191239577585,
        0.6212657766087641,
        0.6277360899780539,
        0.644483750906989,
        0.6464536659685979,
        0.6630505586997858,
        0.6643805250796104,
        0.6824465607002559,
        0.685947231224285,
        0.7020934283379451,
        0.7048829717621503,
        0.7252472621452629,
        0.7231387849388639,
        0.7368602822197166,
        0.7297675062343679,
        0.7392180738007723,
        0.7589461545022461,
        0.754490760945263,
        0.7538980433926792,
        0.7612488987512182,
        0.760652653296111,
        0.7509348768162958,
        0.4973578238789922,
        0.5808782552706659,
        0.5770268673309427,
        0.5740335906885147,
        0.5733768174746696,
        0.5747281009452241,
        0.5747281009452241,
        0.5749591013693319,
        0.5747281009452241,
        0.5744563618904036,
        0.5738015829050052,
        0.5735693222520474,
        0.5744968492972339,
        0.5746875099185198,
        0.574832082200534,
        0.5742653460153117,
        0.5744968492972339,
        0.574768736116589,
        0.5745373807599896,
        0.5749591013693319,
        0.5742653460153117,
        0.5744968492972339,
        0.5746009436539811,
        0.5751898509787168,
        0.5749591013693319,
        0.5744563618904036,
        0.5747281009452241,
        0.5742249624778788,
        0.5746875099185198,
        0.5740335906885147,
        0.5746875099185198,
        0.574918406971648,
        0.5744563618904036,
        0.5742249624778788,
        0.5747281009452241,
        0.5740335906885147,
        0.5744968492972339,
        0.5747281009452241,
        0.5744968492972339,
        0.5744968492972339,
        0.5742249624778788,
        0.5744968492972339,
        0.5749591013693319,
        0.5751490534583205,
        0.5746875099185198,
        0.5749591013693319,
        0.5744563618904036,
        0.5749591013693319,
        0.5740975854997606,
        0.5749591013693319,
        0.5744563618904036,
        0.5744968492972339,
        0.5749591013693319,
        0.5742249624778788,
        0.5746875099185198,
        0.5745604095873666,
        0.5744968492972339,
        0.5742653460153117,
        0.5736337533281696,
        0.5740335906885147,
        0.5742653460153117,
        0.5740335906885147,
        0.5738015829050052,
        0.5740335906885147,
        0.5744968492972339,
        0.5742653460153117,
        0.5747281009452241,
        0.5749591013693319,
        0.5747281009452241,
        0.5751898509787168,
        0.5751898509787168,
        0.5744968492972339,
        0.5747281009452241,
        0.5743877616504167,
        0.5735693222520474,
        0.5738418017400532,
        0.5738015829050052,
        0.574768736116589,
        0.5746875099185198,
        0.5740335906885147,
        0.5797099856084205,
        0.5797527943966537,
        0.5374107629724996,
        0.548639096176481,
        0.48964579111646955,
        0.5073574793557073,
        0.4890071616444592,
        0.5083545885105724,
        0.5474085510758668,
        0.5616397433718184,
        0.5699377936784261,
        0.5855976631380415,
        0.5816380990661315,
        0.5710544668412348,
        0.5567901372216412,
        0.5682980700235561,
        0.6375544069716941,
        0.6350081031893159,
        0.6054800766023576,
        0.6618493403156356,
        0.6470982919606441,
        0.6386034723032321,
        0.6380259995380871,
        0.6161332994017737,
        0.6126218175297276,
        0.595422320523783,
        0.5797457326536237,
        0.5781688056180081,
        0.5791517339041076,
        0.5675239690235098,
        0.5649120777298359,
        0.5502104763288175,
        0.5394920477997683,
        0.5373237499227043,
        0.5323486128252533,
        0.519420716141662,
        0.511743585756074,
        0.5114264114609953,
        0.5006861658535917,
        0.5063928268686895,
        0.4990031524985953,
        0.5657141202024973,
        0.5673514323721841,
        0.5763463103335309,
        0.5741558970847707,
        0.5713090292422156,
        0.5718627458298917,
        0.5643895358524958,
        0.5587901152625556,
        0.556405734195161,
        0.5569081058114664,
        0.5591547682888781,
        0.5623251604748563,
        0.5666849528817399,
        0.5652776169877001,
        0.5641562979688058,
        0.5683947650203421,
        0.5700547846878847,
        0.5700547846878847,
        0.570290888528866,
        0.5669246182160373,
        0.5692145165361921,
        0.568632695071698,
        0.5674404143009993,
        0.568194207114614,
        0.5645878123224054,
        0.5643452429277078,
        0.5643452429277078,
        0.5643452429277078,
        0.5641024031101279,
        0.5648301117456777,
        0.5638592924172015,
        0.5645878123224054,
        0.5650721416479775,
        0.5651083531800352,
        0.5645878123224054,
        0.5655553946864655,
        0.5654226071875428,
        0.5657004697887456,
        0.5658331723852309,
        0.5655918345842027,
        0.5656283150157412,
        0.5658331723852309,
        0.5658331723852309,
        0.5658697666896495,
        0.5660742421821143,
        0.5663150444210306,
        0.5653865946143926,
        0.5653865946143926,
        0.5656283150157412,
        0.5656283150157412,
        0.5663518656456662,
        0.5658331723852309,
        0.5662782640407813,
        0.5665186862208607,
        0.5660375750215103,
        0.5667588420052481,
        0.5667218769869319,
        0.5674777154045407,
        0.5677168100215552,
        0.5677168100215552,
        0.567201166810289,
        0.5674404143009993,
        0.5677168100215552,
        0.5677168100215552,
        0.5673628718927557,
        0.5679556404456972,
        0.5679932057421109,
        0.5675150577931878,
        0.5672383561560386,
        0.5679932057421109,
        0.5677542639987925,
        0.5677542639987925,
        0.5682318834614782,
        0.5677542639987925,
        0.5677542639987925,
        0.5682318834614782,
        0.5684702975942615,
        0.568946336844719,
        0.568946336844719,
        0.5684702975942615,
        0.568946336844719,
        0.568946336844719,
        0.5689083289520042,
        0.5696584296998259,
        0.5694213269731573,
        0.568946336844719,
        0.5687084485768622,
        0.5684702975942615,
        0.568432510464986,
        0.5690152435526986,
        0.5691458449572051,
        0.5687084485768622,
        0.5688155307823372,
        0.568946336844719,
        0.5684702975942615,
        0.5684702975942615,
        0.5687084485768622,
        0.5684702975942615,
        0.568946336844719,
        0.5692698118643835,
        0.5687084485768622,
        0.5684702975942615,
        0.5691458449572051,
        0.5687084485768622,
        0.5684702975942615,
        0.5687084485768622,
        0.5684702975942615,
        0.5684702975942615,
        0.5686705509325305,
        0.568746388073909,
        0.5691839628323103,
        0.5684702975942615,
        0.5694213269731573,
        0.5687084485768622,
        0.5691839628323103,
        0.5689083289520042,
        0.5696584296998259,
        0.568946336844719,
        0.5690533009703651,
        0.568946336844719,
        0.56989527144393,
        0.56989527144393,
        0.5703295098853247,
        0.570671557174867,
        0.5706890213109396,
        0.5700932974778624,
        0.5696584296998259,
        0.5689083289520042,
        0.5689083289520042,
        0.5693830993809763,
        0.5691458449572051,
        0.568194207114614,
        0.5678243163800871,
        0.5669987318364614,
        0.5667588420052481,
        0.5672383561560386,
        0.5698568252108391,
        0.5693830993809763,
        0.568194207114614,
        0.568194207114614,
        0.5669987318364614,
        0.5677542639987925,
        0.5686705509325305,
        0.5698568252108391,
        0.5684702975942615,
        0.5691458449572051,
        0.5691458449572051,
        0.5691458449572051,
        0.5695817977855443,
        0.5687946545930153,
        0.5693830993809763,
        0.5686705509325305,
        0.5691077690621268,
        0.5680308125930442,
        0.566592513820551,
        0.5677168100215552,
        0.5713775151167261,
        0.5679932057421109,
        0.570290888528866,
        0.5679181166349665,
        0.5688703629412529,
        0.568632695071698,
        0.5698568252108391,
        0.5705267331999521,
        0.5724042114366359,
        0.5711034599989186,
        0.571936382477337,
        0.5744968492972339,
        0.5804194205622683,
        0.5794290271041131,
        0.5815391293067631,
        0.5822100818913413,
        0.5833781442581706,
        0.5836479768873372,
        0.5863365786958965,
        0.5827004889681939,
        0.580390930385575,
        0.5819759511554359,
        0.5796941611335096,
        0.5759247405447447,
        0.5762219553747595,
        0.5669289706031311,
        0.5671555923342758,
        0.5648199376425996,
        0.5769442803358491,
        0.5658821825107779,
        0.5203060809609098,
        0.5223629723298786,
        0.5624998243902987,
        0.5932281990377188,
        0.5867266339253154,
        0.5536664776818423,
        0.5369851535684587,
        0.5354607984709724,
        0.5455499093752252,
        0.5531313981679973,
        0.5474476777187556,
        0.554121660422731,
        0.5731705211884456,
        0.5781582469543023,
        0.59041764964421,
        0.6179651396838733,
        0.6178594964974242,
        0.6283974808730256,
        0.6549819677218737,
        0.6585729657502782,
        0.6814628203771562,
        0.7165239552277314,
        0.7107317953840232,
        0.713224635664064,
        0.7379855986935501,
        0.736841838919113,
        0.7614514518230138,
        0.773063101543445,
        0.7747887505683261,
        0.7522836365641448,
        0.7869334189691986,
        0.7953232497081973,
        0.7973104859077232,
        0.805479169585387,
        0.8071275938159832,
        0.8189290277875001,
        0.8407999791452877,
        0.47589514899564994,
        0.5694595967126166,
        0.576649380614125,
        0.5744968492972339,
        0.5745373807599896,
        0.5745373807599896,
        0.5740335906885147,
        0.5744563618904036,
        0.5740335906885147,
        0.5738418017400532,
        0.5740739139837451,
        0.5743057735195667,
        0.575040622935944,
        0.574768736116589,
        0.5742653460153117,
        0.5742653460153117,
        0.5744968492972339,
        0.5751898509787168,
        0.5761516016316423,
        0.5755239932364394,
        0.5749591013693319,
        0.5749591013693319,
        0.5747281009452241,
        0.5749591013693319,
        0.5751898509787168,
        0.5751898509787168,
        0.5749591013693319,
        0.5749591013693319,
        0.5749998400000444,
        0.575230692820144,
        0.574768736116589,
        0.575230692820144,
        0.5751898509787168,
        0.5747281009452241,
        0.5742653460153117,
        0.574768736116589,
        0.5746009436539811,
        0.5751490534583205,
        0.5740335906885147,
        0.5747281009452241,
        0.575230692820144,
        0.5747281009452241,
        0.5747281009452241,
        0.5751898509787168,
        0.5744968492972339,
        0.5749591013693319,
        0.5744968492972339,
        0.5751898509787168,
        0.5742653460153117,
        0.5744968492972339,
        0.5744968492972339,
        0.5754203501816498,
        0.5760691418801296,
        0.5758805989968202,
        0.5764430457447614,
        0.5761103494211816,
        0.5758805989968202,
        0.574768736116589,
        0.5749998400000444,
        0.5738418017400532,
        0.5744968492972339,
        0.5749998400000444,
        0.5736738708648979,
        0.574137911802437,
        0.5743057735195667,
        0.5743057735195667,
        0.5743057735195667,
        0.5738418017400532,
        0.5733768174746696,
        0.5733768174746696,
        0.5724437982005333,
        0.5729108174056042,
        0.5731439446235264,
        0.5726774354039088,
        0.5733768174746696,
        0.5736495942669982,
        0.5719757565125411,
        0.5700547846878847,
        0.5749591013693319,
        0.5781669563226514,
        0.5749591013693319,
        0.5678806342412336,
        0.5596845233341915,
        0.50333966716104,
        0.5353715383032208,
        0.5570853211545126,
        0.5548142203799995,
        0.5429373653902048,
        0.5253281619962358,
        0.5851646705470817,
        0.6919944873824191,
        0.7116786275241677,
        0.6717833484354558,
        0.6738763614857832,
        0.6667423472523064,
        0.6552319227451529,
        0.6464320618241557,
        0.6395102605389836,
        0.6269391248287504,
        0.6256172757120358,
        0.6093086657503266,
        0.6088337019626463,
        0.5943460746959786,
        0.5970357758064099,
        0.583686229627578,
        0.5835093032017172,
        0.5681177732610253,
        0.5606058583296691,
        0.5486255948581363,
        0.5349574336877075,
        0.5212012248374367,
        0.5236602170396443,
        0.5033604141390241,
        0.5062067178083866,
        0.4880299248486173,
        0.4884822153774429,
        0.4882390793155856,
        0.4926860024898715,
        0.48798381185065975,
        0.5532284565136883,
        0.5515641469288278,
        0.5655093563601397,
        0.5573536142163257,
        0.5608864830674077,
        0.5618699397102972,
        0.5647580382678623,
        0.5674031544141354,
        0.5707623191276426,
        0.5721704248489571,
        0.5716628595780174,
        0.5688324387432772,
        0.5700547846878847,
        0.570290888528866,
        0.5662048255418999,
        0.5681565723531098,
        0.5679181166349665,
        0.5672383561560386,
        0.566795848004726,
        0.5672755866859909,
        0.5666637333267721,
        0.5669038819281284,
        0.5673128584685964,
        0.5675524415355204,
        0.5672755866859909,
        0.5670730097885914,
        0.5668328950535539,
        0.5672755866859909,
        0.5673128584685964,
        0.5677542639987925,
        0.5677542639987925,
        0.5680308125930442,
        0.5682318834614782,
        0.5684702975942615,
        0.5682318834614782,
        0.5682696014626667,
        0.5680308125930442,
        0.5680308125930442,
        0.5692221227569074,
        0.568746388073909,
        0.5685081264772592,
        0.5685081264772592,
        0.5687084485768622,
        0.5688155307823372,
        0.5687084485768622,
        0.5685081264772592,
        0.5689843866887384,
        0.5692221227569074,
        0.5687084485768622,
        0.5687084485768622,
        0.5691839628323103,
        0.568946336844719,
        0.568946336844719,
        0.5689843866887384,
        0.5684702975942615,
        0.5684702975942615,
        0.568946336844719,
        0.568946336844719,
        0.5695663745939623,
        0.5694595967126166,
        0.5694213269731573,
        0.568746388073909,
        0.5684702975942615,
        0.5683769703451269,
        0.5680308125930442,
        0.5682696014626667,
        0.5680308125930442,
        0.5673128584685964,
        0.5685081264772592,
        0.5679932057421109,
        0.5673128584685964,
        0.566592513820551,
        0.5670730097885914,
        0.5673128584685964,
        0.5670730097885914,
        0.5673128584685964,
        0.5670730097885914,
        0.5668328950535539,
        0.5670730097885914,
        0.566592513820551,
        0.5663150444210306,
        0.5664399056508147,
        0.5663150444210306,
        0.5665555795471676,
        0.5670358502369223,
        0.5666637333267721,
        0.566795848004726,
        0.5670358502369223,
        0.5663150444210306,
        0.5667588420052481,
        0.5665555795471676,
        0.5663150444210306,
        0.5660375750215103,
        0.5658331723852309,
        0.5658331723852309,
        0.5665555795471676,
        0.5665555795471676,
        0.5658331723852309,
        0.5665186862208607,
        0.5663150444210306,
        0.566795848004726,
        0.5662782640407813,
        0.5665186862208607,
        0.566795848004726,
        0.5663150444210306,
        0.566795848004726,
        0.5665186862208607,
        0.5662782640407813,
        0.5655553946864655,
        0.5661257405122688,
        0.5662782640407813,
        0.5667588420052481,
        0.5657966187185626,
        0.5667588420052481,
        0.5665186862208607,
        0.5666267892638104,
        0.5663150444210306,
        0.5658331723852309,
        0.5660742421821143,
        0.5660742421821143,
        0.5667588420052481,
        0.5660742421821143,
        0.5662782640407813,
        0.5655918345842027,
        0.5660742421821143,
        0.5658331723852309,
        0.5660742421821143,
        0.5658331723852309,
        0.5660375750215103,
        0.5660742421821143,
        0.5665555795471676,
        0.5665555795471676,
        0.5660742421821143,
        0.5658331723852309,
        0.5653502283318593,
        0.5663150444210306,
        0.5657966187185626,
        0.5667588420052481,
        0.5665555795471676,
        0.5660742421821143,
        0.5665555795471676,
        0.566795848004726,
        0.5667588420052481,
        0.5667588420052481,
        0.5666434090236,
        0.5669987318364614,
        0.5670358502369223,
        0.5665555795471676,
        0.5674777154045407,
        0.5665186862208607,
        0.5672755866859909,
        0.5665555795471676,
        0.566795848004726,
        0.566795848004726,
        0.5673128584685964,
        0.5682696014626667,
        0.5684702975942615,
        0.5694213269731573,
        0.568432510464986,
        0.568194207114614,
        0.5679932057421109,
        0.5684702975942615,
        0.5726774354039088,
        0.5711146115262596,
        0.57201517367373,
        0.5703681737061544,
        0.5708789602802046,
        0.5696584296998259,
        0.5681873065194276,
        0.5705267331999521,
        0.5710365922266949,
        0.5707623191276426,
        0.5700547846878847,
        0.5647940549640955,
        0.5655189952550108,
        0.5688324387432772,
        0.5702523095668592,
        0.5702523095668592,
        0.571232716454164,
        0.5693067703602495,
        0.5574093408407339,
        0.5556500371988534,
        0.5535814994649124,
        0.5487803246367443,
        0.5319156947089372,
        0.5519518573470248,
        0.4858106427465884,
        0.47239675620744986,
        0.472944313318701,
        0.48238178507436646,
        0.48662895907528003,
        0.49258456765303765,
        0.500706033643016,
        0.5158784303953731,
        0.5144772151042838,
        0.5395199179716316,
        0.5381650731508981,
        0.5575562955728649,
        0.5656777615628432,
        0.5826269079767112,
        0.5882766234480006,
        0.6159008372146794,
        0.6289750374309405,
        0.6448480379942163,
        0.6523655833254388,
        0.6819785518211883,
        0.6757948084756594,
        0.7049785586518206,
        0.6963274318364088,
        0.7201621689809106,
        0.7118371982610279,
        0.7385237442626009,
        0.7305788318811003,
        0.7508818740638535,
        0.7447143190319018,
        0.7630462689141821,
        0.755637500432417,
        0.7720533554754283,
        0.771156280090257,
        0.782156297039709,
        0.7882739014639961,
        0.766426836132416,
        0.7416691629963009,
        0.5640224992750597,
        0.5695215285900875,
        0.5739933112706336,
        0.5744968492972339,
        0.5744968492972339,
        0.5748909072199648,
        0.5751223220127224,
        0.5740335906885147,
        0.5747281009452241,
        0.5742653460153117,
        0.5738015829050052,
        0.5747281009452241,
        0.5744968492972339,
        0.5744968492972339,
        0.5744968492972339,
        0.5744968492972339,
        0.5744968492972339,
        0.5740335906885147,
        0.5749591013693319,
        0.5749591013693319,
        0.5751898509787168,
        0.5747281009452241,
        0.5744968492972339,
        0.5744968492972339,
        0.5747281009452241,
        0.5747281009452241,
        0.5747281009452241,
        0.5747281009452241,
        0.5747281009452241,
        0.5744968492972339,
        0.5747281009452241,
        0.5751898509787168,
        0.5744968492972339,
        0.5747281009452241,
        0.5749591013693319,
        0.5749591013693319,
        0.5747281009452241,
        0.5744968492972339,
        0.5742653460153117,
        0.5749591013693319,
        0.574369553658129,
        0.5749591013693319,
        0.5754203501816498,
        0.5751898509787168,
        0.5756505993855169,
        0.5756505993855169,
        0.5754203501816498,
        0.5761103494211816,
        0.576339851063344,
        0.576339851063344,
        0.5754203501816498,
        0.576339851063344,
        0.5747281009452241,
        0.5740739139837451,
        0.5733368083160055,
        0.5743057735195667,
        0.5742653460153117,
        0.5733768174746696,
        0.5740739139837451,
        0.5740739139837451,
        0.5729108174056042,
        0.5768396670227762,
        0.5799783698610169,
        0.5797099856084205,
        0.5545348542354503,
        0.5434390184297319,
        0.5308830933834813,
        0.5398570634105792,
        0.5432317959840909,
        0.5747220587457255,
        0.5786422206044056,
        0.5794884398565419,
        0.5738762394243626,
        0.5727219619503993,
        0.5796212156090966,
        0.5822294160587963,
        0.5956194952151808,
        0.6003827640065781,
        0.5819349564034129,
        0.5631227320140606,
        0.6677538860645675,
        0.6620652086043716,
        0.6447375223563757,
        0.6419151084937297,
        0.6207862936498719,
        0.6165490734696298,
        0.6042985839317301,
        0.6067177672221855,
        0.5903992275512232,
        0.5888340579473049,
        0.5725350048324489,
        0.5719296190680947,
        0.5622798818527097,
        0.5617975508143638,
        0.5409892035431292,
        0.5289283779919075,
        0.523894245196966,
        0.5252487418724354,
        0.5183389166854495,
        0.5171113862005272,
        0.5010251151573076,
        0.583286741703169,
        0.5791365265534578,
        0.5684505402553934,
        0.5688200611034431,
        0.5674155671254099,
        0.5673777144877092,
        0.5689653552223237,
        0.5672594272168834,
        0.568432510464986,
        0.5698184212495703,
        0.5695817977855443,
        0.568632695071698,
        0.5681565723531098,
        0.5709976467375026,
        0.5674404143009993,
        0.5692526417927489,
        0.568946336844719,
        0.568946336844719,
        0.5694595967126166,
        0.5694595967126166,
        0.5694213269731573,
        0.5699337600186756,
        0.5691839628323103,
        0.5685081264772592,
        0.5684702975942615,
        0.5683561928185796,
        0.5675150577931878,
        0.5679932057421109,
        0.5684702975942615,
        0.568746388073909,
        0.5689843866887384,
        0.568946336844719,
        0.5689843866887384,
        0.568946336844719,
        0.5685081264772592,
        0.5680308125930442,
        0.5687017079271988,
        0.568746388073909,
        0.5692221227569074,
        0.5687084485768622,
        0.5696968089891095,
        0.5687084485768622,
        0.5694213269731573,
        0.5691839628323103,
        0.5689843866887384,
        0.5691839628323103,
        0.5687084485768622,
        0.568946336844719,
        0.5691839628323103,
        0.568946336844719,
        0.568946336844719,
        0.5691839628323103,
        0.5685566826153302,
        0.5691839628323103,
        0.5691839628323103,
        0.5691839628323103,
        0.568946336844719,
        0.5687084485768622,
        0.5689083289520042,
        0.5692908090733305,
        0.568946336844719,
        0.56989527144393,
        0.5694213269731573,
        0.5694213269731573,
        0.5694897786458378,
        0.5696584296998259,
        0.5694213269731573,
        0.5696584296998259,
        0.5696584296998259,
        0.568946336844719,
        0.568946336844719,
        0.5691839628323103,
        0.5691839628323103,
        0.5691839628323103,
        0.5691839628323103,
        0.5691839628323103,
        0.5694213269731573,
        0.5691839628323103,
        0.5691839628323103,
        0.5687084485768622,
        0.5691839628323103,
        0.568946336844719,
        0.5690533009703651,
        0.5686705509325305,
        0.568777583493273,
        0.568946336844719,
        0.5686705509325305,
        0.568946336844719,
        0.5684702975942615,
        0.5688155307823372,
        0.5691839628323103,
        0.5694213269731573,
        0.5679556404456972,
        0.5687084485768622,
        0.5691839628323103,
        0.5694213269731573,
        0.5694213269731573,
        0.5694595967126166,
        0.569820775896288,
        0.5694213269731573,
        0.568946336844719,
        0.5691839628323103,
        0.568946336844719,
        0.568946336844719,
        0.568946336844719,
        0.5686705509325305,
        0.5691839628323103,
        0.568946336844719,
        0.5694213269731573,
        0.5687084485768622,
        0.5696584296998259,
        0.5691839628323103,
        0.5691839628323103,
        0.5694213269731573,
        0.5692908090733305,
        0.5691839628323103,
        0.5691839628323103,
        0.5694213269731573,
        0.5694213269731573,
        0.5694595967126166,
        0.5694213269731573,
        0.5691458449572051,
        0.5691839628323103,
        0.5696584296998259,
        0.5692221227569074,
        0.5694213269731573,
        0.5694213269731573,
        0.568946336844719,
        0.5691839628323103,
        0.5691458449572051,
        0.5691839628323103,
        0.5688155307823372,
        0.5691458449572051,
        0.5689083289520042,
        0.5689083289520042,
        0.5693830993809763,
        0.568946336844719,
        0.5691839628323103,
        0.5694213269731573,
        0.5687084485768622,
        0.5694213269731573,
        0.5687084485768622,
        0.5696584296998259,
        0.5686705509325305,
        0.5686705509325305,
        0.5691458449572051,
        0.568946336844719,
        0.5687084485768622,
        0.5691839628323103,
        0.5691839628323103,
        0.568946336844719,
        0.568946336844719,
        0.5682318834614782,
        0.568777583493273,
        0.5686705509325305,
        0.5684702975942615,
        0.5688535199685315,
        0.5693079980784481,
        0.5685081264772592,
        0.5691839628323103,
        0.5691839628323103,
        0.5693290184474572,
        0.5691839628323103,
        0.568194207114614,
        0.5692221227569074,
        0.5686705509325305,
        0.5687084485768622,
        0.5687084485768622,
        0.568946336844719,
        0.5684702975942615,
        0.5691839628323103,
        0.5696584296998259,
        0.5687084485768622,
        0.5694213269731573,
        0.5688155307823372,
        0.5691839628323103,
        0.5691839628323103,
        0.5689083289520042,
        0.5690704405052037,
        0.5694595967126166,
        0.568777583493273,
        0.5686705509325305,
        0.568946336844719,
        0.5691458449572051,
        0.5690533009703651,
        0.5686705509325305,
        0.5696584296998259,
        0.5694595967126166,
        0.5694595967126166,
        0.5692221227569074,
        0.568946336844719,
        0.5687084485768622,
        0.5696584296998259,
        0.5687084485768622,
        0.5694213269731573,
        0.5696584296998259,
        0.5691458449572051,
        0.5696584296998259,
        0.5689083289520042,
        0.5691458449572051,
        0.5689083289520042,
        0.5691458449572051,
        0.5694213269731573,
        0.5691839628323103,
        0.5687084485768622,
        0.5691839628323103,
        0.5691839628323103,
        0.5689083289520042,
        0.5684702975942615,
        0.568946336844719,
        0.5694213269731573,
        0.568946336844719,
        0.5687084485768622,
        0.5677168100215552,
        0.5684702975942615,
        0.5687084485768622,
        0.5682318834614782,
        0.5684702975942615,
        0.5687084485768622,
        0.568946336844719,
        0.5682318834614782,
        0.5691839628323103,
        0.5694213269731573,
        0.5691458449572051,
        0.5687084485768622,
        0.5692221227569074,
        0.568946336844719,
        0.568946336844719,
        0.5689843866887384,
        0.5682318834614782,
        0.5691839628323103,
        0.568946336844719,
        0.5687084485768622,
        0.5685081264772592,
        0.5684702975942615,
        0.5687084485768622,
        0.5687084485768622,
        0.5687084485768622,
        0.5687084485768622,
        0.5692908090733305,
        0.5694595967126166,
        0.5691458449572051,
        0.5692698118643835,
        0.5696200926552077,
        0.5689083289520042,
        0.5684702975942615,
        0.5686705509325305,
        0.5694213269731573,
        0.5687084485768622,
        0.568432510464986,
        0.5696584296998259,
        0.5701318526361339,
        0.5694213269731573,
        0.5693830993809763,
        0.5686705509325305,
        0.5672383561560386,
        0.5657966187185626,
        0.5648301117456777,
        0.5655553946864655,
        0.5643811098310322,
        0.5641381545796235,
        0.5677542639987925,
        0.5679932057421109,
        0.5677542639987925,
        0.568746388073909,
        0.5680308125930442,
        0.568946336844719,
        0.5691839628323103,
        0.5682696014626667,
        0.5724042114366359,
        0.5725980932476944,
        0.5710431038477167,
        0.5704880460285905,
        0.5702523095668592,
        0.5716628595780174,
        0.5662782640407813,
        0.568621864341785,
        0.5622580203473084,
        0.5669289706031311,
        0.5805919422899811,
        0.5747478755482014,
        0.5726397438148395,
        0.5616596799709198,
        0.5343846854227389,
        0.541481775023009,
        0.5385115693747236,
        0.542216175715909,
        0.5496996121106061,
        0.5562247089778775,
        0.5722444267546059,
        0.5712307797578429,
        0.5891871200662496,
        0.6018516405020302,
        0.620096133868396,
        0.616666442742398,
        0.6370054193878709,
        0.645744446367974,
        0.6785457252919377,
        0.6715300043961834,
        0.700354355616007,
        0.6990443326888193,
        0.728960132087986,
        0.7327946803434857,
        0.746848471718195,
        0.7455765168187002,
        0.7587247945391062,
        0.7562274824281345,
        0.7770212358928898,
        0.7740828152561671,
        0.7810512350753476,
        0.7773291856592524,
        0.7870953565451317,
        0.7841066093793361,
        0.8428662577021632,
        0.8426053299901909,
        0.8790094490565984,
        0.8743899319249859,
        0.8751723424804977,
        0.7875082741421091,
        0.5534148958853318,
        0.5571753657668455,
        0.5749591013693319,
        0.5758805989968202,
        0.5767981096156668,
        0.5744968492972339,
        0.5748094155046677,
        0.5749134899748657,
        0.5738418017400532,
        0.5742653460153117,
        0.5740739139837451,
        0.5740335906885147,
        0.5747281009452241,
        0.5751898509787168,
        0.575230692820144,
        0.5749591013693319,
        0.5756916469049792,
        0.5754203501816498,
        0.5754203501816498,
        0.5750629697074361,
        0.5756916469049792,
        0.5751898509787168,
        0.5751898509787168,
        0.5751898509787168,
        0.5756505993855169,
        0.5750629697074361,
        0.5758805989968202,
        0.5758805989968202,
        0.5761103494211816,
        0.5754203501816498,
        0.5756505993855169,
        0.5753794497861832,
        0.5751898509787168,
        0.574137911802437,
        0.5747281009452241,
        0.574156072962488,
        0.5738015829050052,
        0.5740739139837451,
        0.5738015829050052,
        0.5744968492972339,
        0.5741782820227713,
        0.5733368083160055,
        0.5736094363751192,
        0.5740739139837451,
        0.5731439446235264,
        0.5736094363751192,
        0.5733768174746696,
        0.5744968492972339,
        0.5747281009452241,
        0.58075474974072,
        0.5778141866028947,
        0.5735292518262652,
        0.5455612702367018,
        0.5424582673761087,
        0.5623925083314457,
        0.571906191295446,
        0.5674284054152322,
        0.636178792202533,
        0.5466784680434615,
        0.5744798796325473,
        0.644811137545337,
        0.6057789385104736,
        0.6763656793084653,
        0.6290104799108518,
        0.6851412730509893,
        0.7029530495110156,
        0.6939529420001361,
        0.6703023622837372,
        0.6715994757865175,
        0.6556767731265811,
        0.6537918997602158,
        0.6409088614368272,
        0.6396488929822924,
        0.6277344238531933,
        0.6248239663081078,
        0.6149261984287221,
        0.6167958251238796,
        0.5891193259634252,
        0.5867617949462501,
        0.583982778880806,
        0.574642646987832,
        0.5694048926803789,
        0.5700742776722882,
        0.5699867891710703,
        0.5994731966470002,
        0.5990886635914603,
        0.5801831059256871,
        0.5831926371025126,
        0.5804310131671206,
        0.5806272442041007,
        0.5785555147627213,
        0.5797258647563601,
        0.5783560021269736,
        0.5764801013389189,
        0.5727271111645835,
        0.5719778610699643,
        0.5698184212495703,
        0.568946336844719,
        0.5683769703451269,
        0.568746388073909,
        0.5692221227569074,
        0.5697352305929227,
        0.5694595967126166,
        0.5700403028651291,
        0.5700017651979944,
        0.5695280555243242,
        0.5694213269731573,
        0.5689083289520042,
        0.5701318526361339,
        0.5698568252108391,
        0.5699337600186756,
        0.56989527144393,
        0.5703681737061544,
        0.5703681737061544,
        0.5708400371937952,
        0.5706042350827646,
        0.5711146115262596,
        0.5710755804661376,
        0.5708400371937952,
        0.5708400371937952,
        0.571310865325747,
        0.5708400371937952,
        0.5710755804661376,
        0.5713500040992304,
        0.5710755804661376,
        0.5710755804661376,
        0.571310865325747,
        0.5717806615059186,
        0.5715851384247993,
        0.571310865325747,
        0.5718200149277151,
        0.5718200149277151,
        0.5708400371937952,
        0.5706042350827646,
        0.5715458921976443,
        0.5710755804661376,
        0.5713500040992304,
        0.5710755804661376,
        0.5716692474261761,
        0.5715851384247993,
        0.5715851384247993,
        0.5710755804661376,
        0.5711146115262596,
        0.5711146115262596,
        0.5715851384247993,
        0.5708400371937952,
        0.5713500040992304,
        0.5715851384247993,
        0.5715851384247993,
        0.5710755804661376,
        0.5715851384247993,
        0.572288996159931,
        0.5717806615059186,
        0.571310865325747,
        0.5710755804661376,
        0.5715458921976443,
        0.5718200149277151,
        0.5720546340317958,
        0.571310865325747,
        0.571310865325747,
        0.5722494291233127,
        0.5715458921976443,
        0.5715458921976443,
        0.5715458921976443,
        0.5715851384247993,
        0.5706430499344466,
        0.5713500040992304,
        0.5704068800614287,
        0.5706042350827646,
        0.5704068800614287,
        0.5701704502326524,
        0.5706430499344466,
        0.5704068800614287,
        0.5703681737061544,
        0.5701318526361339,
        0.5703681737061544,
        0.5694213269731573,
        0.5703681737061544,
        0.5703681737061544,
        0.5701318526361339,
        0.5703681737061544,
        0.5706042350827646,
        0.5708400371937952,
        0.5703681737061544,
        0.5706042350827646,
        0.56989527144393,
        0.5701318526361339,
        0.5702556149775165,
        0.5704068800614287,
        0.5703681737061544,
        0.5703681737061544,
        0.5706430499344466,
        0.5697650407554834,
        0.56989527144393,
        0.5702556149775165,
        0.5704068800614287,
        0.5704068800614287,
        0.5708789602802046,
        0.56989527144393,
        0.5701704502326524,
        0.5704068800614287,
        0.5696968089891095,
        0.5701318526361339,
        0.5704068800614287,
        0.5701318526361339,
        0.5701318526361339,
        0.5705131886481598,
        0.5704068800614287,
        0.5705131886481598,
        0.5699337600186756,
        0.56989527144393,
        0.5696968089891095,
        0.5701704502326524,
        0.5696584296998259,
        0.5695069980244586,
        0.5696584296998259,
        0.5703681737061544,
        0.5694213269731573,
        0.5691839628323103,
        0.5696200926552077,
        0.5693830993809763,
        0.5696584296998259,
        0.5696200926552077,
        0.5689083289520042,
        0.5696200926552077,
        0.5693830993809763,
        0.5703681737061544,
        0.5703681737061544,
        0.56989527144393,
        0.5696584296998259,
        0.56989527144393,
        0.5692221227569074,
        0.5680308125930442,
        0.5675150577931878,
        0.5655918345842027,
        0.5665555795471676,
        0.5658331723852309,
        0.5667588420052481,
        0.5679932057421109,
        0.5691839628323103,
        0.5698568252108391,
        0.5705654628613306,
        0.5720570446131975,
        0.5703252664056611,
        0.571900665116727,
        0.573900937452044,
        0.5749175113294369,
        0.5730490905361736,
        0.5725444792730059,
        0.5627505512158841,
        0.5689092296518289,
        0.5745932169423852,
        0.5831030930155805,
        0.5921556208537148,
        0.5971069823387868,
        0.6030065096106164,
        0.6178928002446411,
        0.6248588951929231,
        0.6336881589415149,
        0.6472562534181401,
        0.6484373147321958,
        0.6654694250163836,
        0.6657269780990909,
        0.6822479970445328,
        0.676400975624012,
        0.702679866123902,
        0.7090600095448931,
        0.712585799974811,
        0.6655074125592523,
        0.6517575517969793,
        0.6831818912846278,
        0.6950451110515723,
        0.701106096383782,
        0.6856413528572983,
        0.6923685576369621,
        0.7005912843955584,
        0.7203220371030794,
        0.7274538128839966,
        0.7353645737717227,
        0.7665396254994006,
        0.7703884188728121,
        0.7874614654585089,
        0.7798165608893893,
        0.7915757988961952,
        0.8017692691973901,
        0.8074496564757419,
        0.8082773468166283,
        0.7932118648928228,
        0.8071268087810977,
        0.8007191295192846,
        0.7800608699788278,
        0.8520122917937083,
        0.6528699020535963,
        0.5762330184802099,
        0.5814854225495918,
        0.6490265115119165,
        0.7405654306315639,
        0.5796458535516167,
        0.5804596074464592,
        0.5746430876963442,
        0.5694676237717516,
        0.5465045735720725,
        0.8206646730988668,
        0.847348712189227,
        0.49638141174520867,
        0.5742653460153117,
        0.574156072962488,
        0.5740739139837451,
        0.5743877616504167,
        0.5740335906885147,
        0.5744968492972339,
        0.5745373807599896,
        0.5744968492972339,
        0.5751898509787168,
        0.5751898509787168,
        0.5761103494211816,
        0.5761103494211816,
        0.5758805989968202,
        0.5758805989968202,
        0.5756505993855169,
        0.5761103494211816,
        0.5758805989968202,
        0.576339851063344,
        0.5757541300734008,
        0.5758805989968202,
        0.5761103494211816,
        0.5754203501816498,
        0.5765691043271746,
        0.579886120940098,
        0.5826665075598656,
        0.5846601383513849,
        0.48267646254731733,
        0.7569829695703348,
        0.6780300639453217,
        0.6766498970954702,
        0.5408593965375236,
        0.59925673735698,
        0.6001583999571348,
        0.5953478061201537,
        0.57453399539164,
        0.5670449310377729,
        0.6709561046937993,
        0.7088839757352566,
        0.6889581155885461,
        0.7000646183961837,
        0.7207638743979378,
        0.6962738812426964,
        0.7493222332974366,
        0.7451424808513722,
        0.7356089588812651,
        0.7314941518680127,
        0.7203921732019672,
        0.7166546457818076,
        0.7044332437228565,
        0.7063991830686486,
        0.6815620345110754,
        0.6816898950526575,
        0.6563601865325686,
        0.6637806785472032,
        0.6386136301483885,
        0.6415192025032991,
        0.6268548968553306,
        0.624470860557771,
        0.6151127719366248,
        0.6139548987763617,
        0.6044566089959722,
        0.6049509695014669,
        0.5912919222321178,
        0.5825103679511224,
        0.5644697070139756,
        0.5629919196479148,
        0.564002624632713,
        0.5597327571446439,
        0.5524859924911407,
        0.5459569595508201,
        0.542895256057392,
        0.5975957035094446,
        0.583764940191336,
        0.5828618221576624,
        0.5819488937110556,
        0.5831038533026016,
        0.5847409812602821,
        0.5822886658682306,
        0.5812498382609146,
        0.5786299746528509,
        0.5749586521807634,
        0.5745612422284232,
        0.5717820171879028,
        0.5704068800614287,
        0.5704068800614287,
        0.5696584296998259,
        0.5701704502326524,
        0.5697352305929227,
        0.5687843694930402,
        0.5687084485768622,
        0.5690224785535566,
        0.5691839628323103,
        0.5696584296998259,
        0.5700017651979944,
        0.5691839628323103,
        0.5701318526361339,
        0.5708400371937952,
        0.5704068800614287,
        0.5701318526361339,
        0.5704068800614287,
        0.5696584296998259,
        0.5696584296998259,
        0.5701318526361339,
        0.5696584296998259,
        0.5696584296998259,
        0.5699337600186756,
        0.5692908090733305,
        0.5696584296998259,
        0.5697823283433082,
        0.56989527144393,
        0.5703681737061544,
        0.56989527144393,
        0.5696200926552077,
        0.5706042350827646,
        0.5712205701694072,
        0.5697823283433082,
        0.5706042350827646,
        0.5703681737061544,
        0.5696584296998259,
        0.5703681737061544,
        0.5710755804661376,
        0.5703681737061544,
        0.5706042350827646,
        0.56989527144393,
        0.5706430499344466,
        0.5713500040992304,
        0.5708400371937952,
        0.5708400371937952,
        0.5708789602802046,
        0.5707103780912879,
        0.5701318526361339,
        0.5713500040992304,
        0.5710755804661376,
        0.571310865325747,
        0.5715851384247993,
        0.5720546340317958,
        0.5720546340317958,
        0.5718200149277151,
        0.5718200149277151,
        0.572288996159931,
        0.5725231017340843,
        0.5719039491425633,
        0.5722494291233127,
        0.5727171715521094,
        0.5722494291233127,
        0.5727171715521094,
        0.5722494291233127,
        0.5729506593711816,
        0.5727171715521094,
        0.5727171715521094,
        0.5729506593711816,
        0.5722099053766567,
        0.5726774354039088,
        0.5729108174056042,
        0.5726774354039088,
        0.5729506593711816,
        0.5729506593711816,
        0.5724834282759763,
        0.5730556456584491,
        0.5729506593711816,
        0.5724834282759763,
        0.5723547604335886,
        0.57260651358067,
        0.5729905449036856,
        0.5727171715521094,
        0.5727171715521094,
        0.5729506593711816,
        0.5731439446235264,
        0.5730556456584491,
        0.5731439446235264,
        0.5729108174056042,
        0.5726774354039088,
        0.5734168703114423,
        0.5736495942669982,
        0.5729506593711816,
        0.5729506593711816,
        0.5731838921517461,
        0.5722099053766567,
        0.5722099053766567,
        0.57201517367373,
        0.5727171715521094,
        0.5724834282759763,
        0.5724382438194197,
        0.5729506593711816,
        0.5723725817981599,
        0.57201517367373,
        0.57201517367373,
        0.571925625352341,
        0.5718200149277151,
        0.5713951246961053,
        0.5715066889800412,
        0.571310865325747,
        0.5710365922266949,
        0.5710755804661376,
        0.5706042350827646,
        0.5696584296998259,
        0.5698568252108391,
        0.5716299766166859,
        0.5708011568330448,
        0.5717413511875291,
        0.5715066889800412,
        0.5703681737061544,
        0.5703681737061544,
        0.5682696014626667,
        0.5673501715724568,
        0.5672755866859909,
        0.5661109500839964,
        0.568194207114614,
        0.5693830993809763,
        0.5697352305929227,
        0.574768736116589,
        0.5727427485084012,
        0.5722494291233127,
        0.5763585352741467,
        0.5764000570327192,
        0.5748353649584941,
        0.5699552442491165,
        0.5816102841216183,
        0.5710686668230792,
        0.5651677351360954,
        0.5656695537362268,
        0.5839333523690435,
        0.5891770835678262,
        0.5914700881971463,
        0.600727304100515,
        0.6152568739571479,
        0.6254867444356076,
        0.6344864258610211,
        0.635854159351636,
        0.6439050058242872,
        0.6629462391582174,
        0.6724804295072093,
        0.6841083331874492,
        0.6900387572065422,
        0.692002067892763,
        0.7075416970606989,
        0.7178986283690396,
        0.7209499890518635,
        0.6748104986214898,
        0.7268319974936507,
        0.7192330101499348,
        0.6794475859837699,
        0.7193590749917503,
        0.7429574913519547,
        0.7241376531045889,
        0.715654659412791,
        0.7481464914373583,
        0.7465381675172755,
        0.7544548895102083,
        0.7479111253713482,
        0.7778686956457646,
        0.7931096339818278,
        0.8065428041226054,
        0.8083081863980689,
        0.8145000428040736,
        0.8138037133625177,
        0.8233072689232364,
        0.8189589379134088,
        0.818212770498324,
        0.8368847797450918,
        0.8253460262730385,
        0.6123371174212766,
        0.5787860265376138,
        0.5812429138447552,
        0.6237470708378302,
        0.576642169993941,
        0.578055391130911,
        0.5551384040237513,
        0.538391056882254,
        0.6561038452800741,
        0.5519706434539252,
        0.5398698898916813,
        0.5733368083160055,
        0.5742653460153117,
        0.5745373807599896,
        0.5743057735195667,
        0.574768736116589,
        0.5743057735195667,
        0.5754612949857855,
        0.574768736116589,
        0.574768736116589,
        0.5749998400000444,
        0.574768736116589,
        0.5749998400000444,
        0.5740335906885147,
        0.5744968492972339,
        0.5745373807599896,
        0.5740739139837451,
        0.5748503835198933,
        0.5747281009452241,
        0.5738015829050052,
        0.574768736116589,
        0.574768736116589,
        0.5749998400000444,
        0.574768736116589,
        0.5751898509787168,
        0.5736094363751192,
        0.5736094363751192,
        0.5736094363751192,
        0.5761516016316423,
        0.576339851063344,
        0.5770268673309427,
        0.5742356473751903,
        0.5771318329758292,
        0.5823938281343853,
        0.5526013247959529,
        0.4751035662150581,
        0.7003854427788592,
        0.4719886262897922,
        0.49934193706376856,
        0.5573768820977965,
        0.5914500525852668,
        0.5686104681940768,
        0.5417015308161667,
        0.5193036291876847,
        0.6088975353548883,
        0.6252328650595234,
        0.643989214185946,
        0.7234435924200816,
        0.7254932801548267,
        0.7000686236672622,
        0.6916196675250562,
        0.6845067954454371,
        0.6842844606387287,
        0.6565368649138693,
        0.6592511740560726,
        0.6416861161526366,
        0.643714456510027,
        0.6214586981679507,
        0.6210301214061946,
        0.611581699767069,
        0.6083567199159768,
        0.5929983708520751,
        0.594259174868393,
        0.5744678765052816,
        0.5775493656478221,
        0.5656671737176353,
        0.564860805980946,
        0.5496426561306857,
        0.5464866715392648,
        0.5392980518451912,
        0.6206992003395428,
        0.6019754164954019,
        0.579538559004292,
        0.5878376683711226,
        0.5777403267320764,
        0.5815816937113788,
        0.5847919587453595,
        0.5836055017396422,
        0.5784419659011044,
        0.5792348106184574,
        0.5757407822287154,
        0.5749813296825018,
        0.5745900031748188,
        0.5730704469556274,
        0.5700932974778624,
        0.5699337600186756,
        0.5697352305929227,
        0.5694979086690958,
        0.5690224785535566,
        0.5694595967126166,
        0.5695452938803358,
        0.5701704502326524,
        0.5708789602802046,
        0.5699337600186756,
        0.5701704502326524,
        0.5694595967126166,
        0.5696968089891095,
        0.5696584296998259,
        0.5699337600186756,
        0.5703681737061544,
        0.5703681737061544,
        0.5703681737061544,
        0.5706430499344466,
        0.5713500040992304,
        0.5711146115262596,
        0.5711146115262596,
        0.5708789602802046,
        0.571310865325747,
        0.5711146115262596,
        0.5704068800614287,
        0.5711990711010293,
        0.5710755804661376,
        0.5713500040992304,
        0.5715851384247993,
        0.5711146115262596,
        0.5713500040992304,
        0.5711146115262596,
        0.5715851384247993,
        0.571310865325747,
        0.5710755804661376,
        0.571310865325747,
        0.5711146115262596,
        0.5715851384247993,
        0.5708400371937952,
        0.5718200149277151,
        0.572288996159931,
        0.5718200149277151,
        0.5716908647312928,
        0.5715851384247993,
        0.5718200149277151,
        0.5713500040992304,
        0.5713500040992304,
        0.5718200149277151,
        0.5716692474261761,
        0.5715458921976443,
        0.5713500040992304,
        0.5718862237772889,
        0.5720546340317958,
        0.5717806615059186,
        0.5720546340317958,
        0.5715851384247993,
        0.5710755804661376,
        0.5715458921976443,
        0.5720546340317958,
        0.571310865325747,
        0.5710755804661376,
        0.5716515702345336,
        0.5715458921976443,
        0.571310865325747,
        0.5710755804661376,
        0.5710755804661376,
        0.56989527144393,
        0.5703681737061544,
        0.5701318526361339,
        0.5703681737061544,
        0.5703681737061544,
        0.5693067703602495,
        0.5691077690621268,
        0.5696584296998259,
        0.5688324387432772,
        0.5688324387432772,
        0.5701318526361339,
        0.5702382292820948,
        0.56989527144393,
        0.5697650407554834,
        0.568946336844719,
        0.5694213269731573,
        0.56989527144393,
        0.5699337600186756,
        0.5701704502326524,
        0.5700403028651291,
        0.5699337600186756,
        0.5694213269731573,
        0.5691839628323103,
        0.568946336844719,
        0.5691839628323103,
        0.5699337600186756,
        0.5701318526361339,
        0.56989527144393,
        0.5701318526361339,
        0.5696584296998259,
        0.5691839628323103,
        0.5696584296998259,
        0.5696200926552077,
        0.56989527144393,
        0.5701318526361339,
        0.5703681737061544,
        0.5697650407554834,
        0.5701318526361339,
        0.5700932974778624,
        0.5694213269731573,
        0.5700932974778624,
        0.5698568252108391,
        0.5698568252108391,
        0.5705654628613306,
        0.5704357208035978,
        0.56989527144393,
        0.5698568252108391,
        0.5698568252108391,
        0.5703295098853247,
        0.56989527144393,
        0.56989527144393,
        0.5696584296998259,
        0.5703681737061544,
        0.5693830993809763,
        0.5693830993809763,
        0.5693830993809763,
        0.5696584296998259,
        0.5691458449572051,
        0.5694213269731573,
        0.5691458449572051,
        0.5691458449572051,
        0.5693830993809763,
        0.5696584296998259,
        0.5693830993809763,
        0.5696200926552077,
        0.5698568252108391,
        0.5696584296998259,
        0.5691458449572051,
        0.5696584296998259,
        0.5696200926552077,
        0.5696584296998259,
        0.5697650407554834,
        0.5703681737061544,
        0.5698568252108391,
        0.5701318526361339,
        0.5696200926552077,
        0.5696200926552077,
        0.5696200926552077,
        0.5696200926552077,
        0.5696584296998259,
        0.5701318526361339,
        0.5696584296998259,
        0.5700932974778624,
        0.5703681737061544,
        0.5694595967126166,
        0.5690224785535566,
        0.5689843866887384,
        0.5677917594303371,
        0.5661476987950963,
        0.5671102105599402,
        0.5660742421821143,
        0.566145918129928,
        0.568746388073909,
        0.568946336844719,
        0.5690152435526986,
        0.5694213269731573,
        0.5708011568330448,
        0.5724437982005333,
        0.5710755804661376,
        0.5723185961584877,
        0.5713104116129236,
        0.5691281002811841,
        0.570633875325615,
        0.5644430248757327,
        0.5663090914501948,
        0.5680789317195406,
        0.5739325707436733,
        0.5777403267320764,
        0.5792133165408887,
        0.5948326994126227,
        0.5974170096139759,
        0.6022198482259262,
        0.6129396629823454,
        0.6206014087696247,
        0.6024861683002315,
        0.604153559003954,
        0.5853983257039901,
        0.5971941845267719,
        0.6041664587814335,
        0.6108087608877732,
        0.6412523292571868,
        0.6231934110729577,
        0.6287820502314319,
        0.6314960421368225,
        0.6455387877205506,
        0.6554401661100184,
        0.6761445006011932,
        0.686810909884507,
        0.7146498790810947,
        0.7212907494287705,
        0.7443619583415626,
        0.748757712303798,
        0.7614119901262917,
        0.764851208200977,
        0.7949395562568629,
        0.7926955498517138,
        0.8221320049742529,
        0.8231725780292621,
        0.8077440832876437,
        0.7962699453270851,
        0.7911000668709617,
        0.7596416054156322,
        0.7749001725959657,
        0.5778823193593418,
        0.5819293337202266,
        0.5754203501816498,
        0.5756505993855169,
        0.5766908575401952,
        0.5775255020566953,
        0.576339851063344,
        0.576339851063344,
        0.5761103494211816,
        0.5758805989968202,
        0.576339851063344,
        0.5756916469049792,
        0.5760252135189836,
        0.576339851063344,
        0.5765691043271746,
        0.5758805989968202,
        0.5763812052507166,
        0.5764844457418086,
        0.576339851063344,
        0.5761103494211816,
        0.5770268673309427,
        0.5756505993855169,
        0.5766105602465582,
        0.5763812052507166,
        0.5764616701957903,
        0.5749591013693319,
        0.5747281009452241,
        0.574768736116589,
        0.5749998400000444,
        0.5740335906885147,
        0.5749591013693319,
        0.5744968492972339,
        0.574137911802437,
        0.5745373807599896,
        0.5747281009452241,
        0.5745373807599896,
        0.5738015829050052,
        0.5743057735195667,
        0.574768736116589,
        0.5747281009452241,
        0.5740739139837451,
        0.5749998400000444,
        0.574768736116589,
        0.5742653460153117,
        0.5741782820227713,
        0.5736094363751192,
        0.5738418017400532,
        0.5736738708648979,
        0.5735693222520474,
        0.5735693222520474,
        0.5736094363751192,
        0.5740739139837451,
        0.5740739139837451,
        0.5738418017400532,
        0.5742653460153117,
        0.5749998400000444,
        0.5756505993855169,
        0.5763812052507166,
        0.5760691418801296,
        0.576339851063344,
        0.5747281009452241,
        0.5751898509787168,
        0.57861790193016,
        0.5713094936123969,
        0.5719422839875764,
        0.5523254169822014,
        0.5547507045003703,
        0.49236877764245907,
        0.48444878428818283,
        0.5121793190796081,
        0.5353409501569966,
        0.5688383619007131,
        0.5675212019539285,
        0.62328209583644,
        0.6978085197120709,
        0.6818999704553308,
        0.6798145206508447,
        0.6740460864362423,
        0.6690768990582835,
        0.6483992122613802,
        0.6402951281075207,
        0.6262304355625998,
        0.624381399517119,
        0.612526317329459,
        0.6124467372187203,
        0.5971729287967918,
        0.6004241107375214,
        0.5782916042097499,
        0.5816759248451182,
        0.5677638797921785,
        0.5604980163879114,
        0.5600275595183133,
        0.5652907378695143,
        0.5517004881152041,
        0.5452089884298231,
        0.5466724436739921,
        0.5895917789053868,
        0.5871078393732788,
        0.5797350047067804,
        0.5487581581077062,
        0.5652672286274749,
        0.5668371500451531,
        0.5792647851982611,
        0.5720619218981685,
        0.5720967017537086,
        0.575368490120881,
        0.5779641061626299,
        0.5766105602465582,
        0.571428411290998,
        0.5679932057421109,
        0.5715066889800412,
        0.5705654628613306,
        0.5700932974778624,
        0.566795848004726,
        0.5681565723531098,
        0.5691458449572051,
        0.5698568252108391,
        0.5703681737061544,
        0.5705654628613306,
        0.5705654628613306,
        0.5705654628613306,
        0.5705654628613306,
        0.5712717694675734,
        0.5708011568330448,
        0.5715458921976443,
        0.5710365922266949,
        0.5715066889800412,
        0.57201517367373,
        0.57201517367373,
        0.5715458921976443,
        0.5712717694675734,
        0.5712717694675734,
        0.5708011568330448,
        0.5712717694675734,
        0.5708011568330448,
        0.5703295098853247,
        0.5708011568330448,
        0.5705654628613306,
        0.5705654628613306,
        0.5708011568330448,
        0.5708011568330448,
        0.5708011568330448,
        0.5703295098853247,
        0.5703295098853247,
        0.5703295098853247,
        0.5703681737061544,
        0.5698568252108391,
        0.5701318526361339,
        0.5700932974778624,
        0.5701318526361339,
        0.5696200926552077,
        0.5701318526361339,
        0.5696584296998259,
        0.5696584296998259,
        0.5696584296998259,
        0.5694213269731573,
        0.5692908090733305,
        0.5694213269731573,
        0.5696584296998259,
        0.5701318526361339,
        0.5701318526361339,
        0.5699805875522217,
        0.56989527144393,
        0.5696584296998259,
        0.56989527144393,
        0.5696584296998259,
        0.5690533009703651,
        0.5703681737061544,
        0.5702090903375252,
        0.5699337600186756,
        0.5699337600186756,
        0.5694595967126166,
        0.5701704502326524,
        0.5699337600186756,
        0.5699337600186756,
        0.5696968089891095,
        0.5696968089891095,
        0.5708789602802046,
        0.5702090903375252,
        0.5706819074867235,
        0.5702090903375252,
        0.5706430499344466,
        0.5701704502326524,
        0.5701704502326524,
        0.5701318526361339,
        0.5701704502326524,
        0.5702090903375252,
        0.5701704502326524,
        0.5696968089891095,
        0.5694595967126166,
        0.5699337600186756,
        0.5696968089891095,
        0.5691085588390826,
        0.5701704502326524,
        0.5696584296998259,
        0.5696968089891095,
        0.5699337600186756,
        0.5701704502326524,
        0.5702090903375252,
        0.5699337600186756,
        0.5699337600186756,
        0.5699337600186756,
        0.5696968089891095,
        0.5699722910050616,
        0.5689843866887384,
        0.5696968089891095,
        0.56989527144393,
        0.5696968089891095,
        0.5694595967126166,
        0.5697352305929227,
        0.5694595967126166,
        0.5694595967126166,
        0.5696968089891095,
        0.5696968089891095,
        0.5708011568330448,
        0.5696200926552077,
        0.5677542639987925,
        0.566592513820551,
        0.5663150444210306,
        0.5663150444210306,
        0.5665186862208607,
        0.5674777154045407,
        0.5672755866859909,
        0.5663150444210306,
        0.5661476987950963,
        0.566629489109218,
        0.5677542639987925,
        0.566795848004726,
        0.5661109500839964,
        0.5692526417927489,
        0.5710755804661376,
        0.5724042114366359,
        0.571310865325747,
        0.5691458449572051,
        0.5655553946864655,
        0.5628841318073362,
        0.5620436340447273,
        0.5635901583803258,
        0.555299375395576,
        0.5661178831711939,
        0.4861109424872611,
        0.5006642815015866,
        0.5026861938379239,
        0.4890996832496218,
        0.5058740435331649,
        0.5169901076983806,
        0.5229413805278922,
        0.534178806554229,
        0.5395478275081301,
        0.5529659017524423,
        0.555790759488087,
        0.570218566018415,
        0.5761634026828898,
        0.5894364071891264,
        0.5979560915056245,
        0.6167134585632645,
        0.6212869037490136,
        0.6343703502138477,
        0.6418725592659008,
        0.6612444564659393,
        0.6708301594193936,
        0.686706381104607,
        0.6908864505743401,
        0.7155169835716427,
        0.713982792684188,
        0.7355655941027399,
        0.7397378777453691,
        0.7547801795697932,
        0.7603053381120589,
        0.7709961603202604,
        0.7741990061281914,
        0.7778179955598764,
        0.7830958000391105,
        0.7959071832708342,
        0.7844702191551156,
        0.7961317192197017,
        0.8021616947791436,
        0.8336209402337815,
        0.8014315694951736,
        0.8069282520693479,
        0.7884385548902778,
        0.8422762623184754,
        0.7045444017392871,
        0.4903588756225104,
        0.5461629018972387,
        0.5746554852762488,
        0.5711928023910309,
        0.5749591013693319,
        0.5733368083160055,
        0.5733768174746696,
        0.574768736116589,
        0.5745373807599896,
        0.5738015829050052,
        0.5740335906885147,
        0.5743057735195667,
        0.5736094363751192,
        0.5739462835487219,
        0.5738418017400532,
        0.5745373807599896,
        0.5745373807599896,
        0.5742653460153117,
        0.5740335906885147,
        0.5735693222520474,
        0.5745373807599896,
        0.5745373807599896,
        0.5749998400000444,
        0.5733768174746696,
        0.5739060176754704,
        0.5738015829050052,
        0.5740335906885147,
        0.5743057735195667,
        0.5749998400000444,
        0.574768736116589,
        0.574768736116589,
        0.5745373807599896,
        0.5742653460153117,
        0.5743057735195667,
        0.574768736116589,
        0.5742653460153117,
        0.5740739139837451,
        0.5740335906885147,
        0.5742653460153117,
        0.5733368083160055,
        0.5740739139837451,
        0.5738015829050052,
        0.5733368083160055,
        0.574768736116589,
        0.5745373807599896,
        0.5747281009452241,
        0.5749998400000444,
        0.574768736116589,
        0.5744968492972339,
        0.5742653460153117,
        0.5731439446235264,
        0.5733368083160055,
        0.5729108174056042,
        0.5726774354039088,
        0.576339851063344,
        0.5777116590456721,
        0.5799354630220187,
        0.5595574098165662,
        0.5302011766546659,
        0.5675521251629801,
        0.5899454880151686,
        0.5734964957515557,
        0.5772649830129676,
        0.5901239599873354,
        0.5672363017521445,
        0.57679355643593,
        0.6613231790711693,
        0.6714283531610686,
        0.6833191923501826,
        0.7312250498107868,
        0.7092142340775931,
        0.7484596966383541,
        0.7395248752536758,
        0.7292104486569769,
        0.7257947903837931,
        0.708008247696511,
        0.7096943442020566,
        0.6819304461468257,
        0.6879856167854164,
        0.6674891807091251,
        0.6680788544799622,
        0.654535629309253,
        0.6522118441485504,
        0.6410434920914895,
        0.6360306060419787,
        0.6296685536361526,
        0.623316570419501,
        0.6104813650379186,
        0.6149504126554222,
        0.60219214404358,
        0.5991499243875628,
        0.5873126865972234,
        0.578909399998843,
        0.5623196772999461,
        0.574152632111931,
        0.5574110748820665,
        0.6425822368120301,
        0.6252108496860129,
        0.6021875024064471,
        0.603794470344437,
        0.5981746093664823,
        0.589909224583458,
        0.5887573129724065,
        0.5867677329582,
        0.5818615101623328,
        0.5780042470021088,
        0.5757322859176726,
        0.5749722743187407,
        0.5751461735827629,
        0.5737388740382108,
        0.5710755804661376,
        0.5717806615059186,
        0.5710365922266949,
        0.5708400371937952,
        0.56989527144393,
        0.5698568252108391,
        0.5705654628613306,
        0.5708400371937952,
        0.5705654628613306,
        0.5715066889800412,
        0.571310865325747,
        0.5722494291233127,
        0.5724834282759763,
        0.5722494291233127,
        0.5715066889800412,
        0.5708400371937952,
        0.5715066889800412,
        0.5714166593186921,
        0.5708400371937952,
        0.571310865325747,
        0.5710365922266949,
        0.5705654628613306,
        0.5710755804661376,
        0.5710365922266949,
        0.5715458921976443,
        0.571310865325747,
        0.5708400371937952,
        0.5710755804661376,
        0.5712717694675734,
        0.571310865325747,
        0.5716299766166859,
        0.5712717694675734,
        0.5710365922266949,
        0.5715066889800412,
        0.5705654628613306,
        0.5710755804661376,
        0.5715458921976443,
        0.5708400371937952,
        0.5708400371937952,
        0.5706042350827646,
        0.5710755804661376,
        0.5712717694675734,
        0.5710365922266949,
        0.5708011568330448,
        0.5708011568330448,
        0.5713951246961053,
        0.5704531362241726,
        0.5715066889800412,
        0.5708011568330448,
        0.5711424539060914,
        0.5710365922266949,
        0.5708011568330448,
        0.5708011568330448,
        0.5708011568330448,
        0.5710365922266949,
        0.5715066889800412,
        0.5710365922266949,
        0.5710365922266949,
        0.5715066889800412,
        0.5710365922266949,
        0.5715066889800412,
        0.5708011568330448,
        0.5710365922266949,
        0.5712717694675734,
        0.5708011568330448,
        0.5703295098853247,
        0.5705654628613306,
        0.5712717694675734,
        0.5711600151212683,
        0.5711424539060914,
        0.5717413511875291,
        0.5712717694675734,
        0.5722494291233127,
        0.5717413511875291,
        0.5715066889800412,
        0.5719757565125411,
        0.571310865325747,
        0.5717413511875291,
        0.57201517367373,
        0.57201517367373,
        0.5710755804661376,
        0.571310865325747,
        0.5715458921976443,
        0.5710365922266949,
        0.5710365922266949,
        0.5710365922266949,
        0.5712717694675734,
        0.5712717694675734,
        0.5712717694675734,
        0.5717806615059186,
        0.571310865325747,
        0.5715458921976443,
        0.571310865325747,
        0.5710365922266949,
        0.5714166593186921,
        0.5717806615059186,
        0.5715458921976443,
        0.5717806615059186,
        0.571310865325747,
        0.5706042350827646,
        0.5711600151212683,
        0.5710755804661376,
        0.571310865325747,
        0.571310865325747,
        0.5710755804661376,
        0.5715851384247993,
        0.571310865325747,
        0.5717806615059186,
        0.5715458921976443,
        0.5712717694675734,
        0.5712717694675734,
        0.5710755804661376,
        0.571310865325747,
        0.5710755804661376,
        0.5710755804661376,
        0.5710365922266949,
        0.571310865325747,
        0.5708011568330448,
        0.5711814906060937,
        0.5708400371937952,
        0.5711814906060937,
        0.5715458921976443,
        0.5710365922266949,
        0.5712717694675734,
        0.5715458921976443,
        0.571310865325747,
        0.5708400371937952,
        0.571310865325747,
        0.571310865325747,
        0.571310865325747,
        0.5712717694675734,
        0.5710365922266949,
        0.5717806615059186,
        0.571310865325747,
        0.5717413511875291,
        0.5715066889800412,
        0.5717806615059186,
        0.5715066889800412,
        0.5715066889800412,
        0.5710755804661376,
        0.5717806615059186,
        0.5710365922266949,
        0.571310865325747,
        0.57201517367373,
        0.5710365922266949,
        0.5719757565125411,
        0.5715066889800412,
        0.5717806615059186,
        0.5722494291233127,
        0.5722494291233127,
        0.5722494291233127,
        0.5719757565125411,
        0.57201517367373,
        0.5712717694675734,
        0.5708400371937952,
        0.5698568252108391,
        0.5691458449572051,
        0.568946336844719,
        0.568946336844719,
        0.5694213269731573,
        0.5691839628323103,
        0.568746388073909,
        0.5692221227569074,
        0.5691839628323103,
        0.5699337600186756,
        0.5694213269731573,
        0.5694595967126166,
        0.5694213269731573,
        0.5694213269731573,
        0.5694213269731573,
        0.56989527144393,
        0.5696968089891095,
        0.5717020839017696,
        0.5691077690621268,
        0.5759388705058782,
        0.575150688712478,
        0.5730831255275454,
        0.57444428104696,
        0.5711536819591885,
        0.5704582387806348,
        0.5819534779469201,
        0.5828982612548205,
        0.5972836442299191,
        0.590831262810019,
        0.5943504342996957,
        0.5980103533169684,
        0.5713353143168202,
        0.5803569463341557,
        0.5826084961233778,
        0.5968496611347007,
        0.603436449488233,
        0.6225388195927525,
        0.6117811829439562,
        0.6287231759530028,
        0.6365558744413495,
        0.6736895574156845,
        0.6786470627002152,
        0.6973495709943601,
        0.7024310361911976,
        0.7149313885726293,
        0.7134926188212933,
        0.7322818037361563,
        0.7279983160148064,
        0.7524819962618566,
        0.7420548164321568,
        0.7461210281988953,
        0.7429525155802058,
        0.760203807723892,
        0.7561487089612515,
        0.7700419168344153,
        0.7702319533013652,
        0.78201942266436,
        0.7689870648935462,
        0.7893643617717173,
        0.7803735650525598,
        0.582384662232549,
        0.5777776174405744,
        0.5760867962193262,
        0.5745779563506186,
        0.5745373807599896,
        0.5733768174746696,
        0.5738418017400532,
        0.5735693222520474,
        0.5731439446235264,
        0.5740739139837451,
        0.5745373807599896,
        0.5740739139837451,
        0.5740739139837451,
        0.5740335906885147,
        0.5745373807599896,
        0.5740335906885147,
        0.5744968492972339,
        0.5747281009452241,
        0.5744968492972339,
        0.5742653460153117,
        0.5740335906885147,
        0.5747281009452241,
        0.5747281009452241,
        0.5749591013693319,
        0.5756505993855169,
        0.5749591013693319,
        0.5754203501816498,
        0.5751898509787168,
        0.5755239932364394,
        0.5755239932364394,
        0.5756505993855169,
        0.5754203501816498,
        0.5754203501816498,
        0.5756505993855169,
        0.5751898509787168,
        0.5751898509787168,
        0.5756916469049792,
        0.5756505993855169,
        0.5758805989968202,
        0.5762549540531915,
        0.5756505993855169,
        0.5756505993855169,
        0.576339851063344,
        0.5759217489848506,
        0.5749591013693319,
        0.5759840175004372,
        0.5761103494211816,
        0.5756505993855169,
        0.576339851063344,
        0.5765691043271746,
        0.5758805989968202,
        0.5756916469049792,
        0.5761103494211816,
        0.576339851063344,
        0.5761103494211816,
        0.5758805989968202,
        0.5765691043271746,
        0.5751898509787168,
        0.5754612949857855,
        0.5749998400000444,
        0.5740335906885147,
        0.5742653460153117,
        0.5745373807599896,
        0.5740335906885147,
        0.5733768174746696,
        0.5733368083160055,
        0.573104040682341,
        0.5739933112706336,
        0.5765691043271746,
        0.5802467541136135,
        0.5793435736288812,
        0.5744968492972339,
        0.4835458377599268,
        0.5020773843049717,
        0.4647885648086301,
        0.4768963833303805,
        0.5444175997948313,
        0.5003287788366219,
        0.5840180488998341,
        0.6672681348915489,
        0.5733293921038228,
        0.6265182081120719,
        0.5852270724356543,
        0.6183860339856816,
        0.6127530762188116,
        0.5262118551101131,
        0.671842768611947,
        0.6670704005955366,
        0.6478454956936109,
        0.6462097838251674,
        0.6311758363521028,
        0.6298108310264902,
        0.614897881357895,
        0.612517360331302,
        0.5990131735766421,
        0.5967511966549345,
        0.5839800289359387,
        0.5815177106556093,
        0.5696200480692934,
        0.5723820849897207,
        0.5548728976702849,
        0.55172393913958,
        0.5456779484278921,
        0.5437716131116078,
        0.5306404793259573,
        0.5205001622681841,
        0.5657892963989475,
        0.5809877671075607,
        0.5771638408269438,
        0.5765562001139796,
        0.5810883466095472,
        0.5827415082667109,
        0.5813761345360017,
        0.580882190952243,
        0.5809341132871993,
        0.5753423043423234,
        0.5742761911363136,
        0.5706042350827646,
        0.5675150577931878,
        0.568194207114614,
        0.5687084485768622,
        0.56989527144393,
        0.5699632699160299,
        0.5714675287013282,
        0.5707623191276426,
        0.5703295098853247,
        0.5705654628613306,
        0.5701318526361339,
        0.5696200926552077,
        0.5696200926552077,
        0.5698568252108391,
        0.5703681737061544,
        0.5710365922266949,
        0.5712717694675734,
        0.5708011568330448,
        0.5710365922266949,
        0.5708011568330448,
        0.5710755804661376,
        0.5708011568330448,
        0.571310865325747,
        0.5717806615059186,
        0.5717806615059186,
        0.5712717694675734,
        0.5715066889800412,
        0.5715458921976443,
        0.5719700551076298,
        0.5712717694675734,
        0.5717413511875291,
        0.5715066889800412,
        0.5712717694675734,
        0.5715458921976443,
        0.5717413511875291,
        0.57201517367373,
        0.5722099053766567,
        0.5719757565125411,
        0.5717413511875291,
        0.5719757565125411,
        0.5726774354039088,
        0.5715066889800412,
        0.5722099053766567,
        0.5724437982005333,
        0.5722494291233127,
        0.5716515702345336,
        0.5715066889800412,
        0.5717413511875291,
        0.5717413511875291,
        0.5722494291233127,
        0.5724437982005333,
        0.5717413511875291,
        0.5729108174056042,
        0.5722099053766567,
        0.5724437982005333,
        0.5726774354039088,
        0.5727171715521094,
        0.5719757565125411,
        0.5729108174056042,
        0.5719757565125411,
        0.5726774354039088,
        0.5719757565125411,
        0.5724437982005333,
        0.5722099053766567,
        0.5724437982005333,
        0.5726774354039088,
        0.5722099053766567,
        0.5726774354039088,
        0.5722099053766567,
        0.5722099053766567,
        0.5722099053766567,
        0.5719757565125411,
        0.5722099053766567,
        0.5719757565125411,
        0.5719757565125411,
        0.5724437982005333,
        0.5724834282759763,
        0.5724437982005333,
        0.5724437982005333,
        0.5715066889800412,
        0.5722099053766567,
        0.5717413511875291,
        0.5724437982005333,
        0.5724437982005333,
        0.5724437982005333,
        0.5726774354039088,
        0.5724437982005333,
        0.5724437982005333,
        0.5726774354039088,
        0.5717413511875291,
        0.5722099053766567,
        0.5722099053766567,
        0.5724437982005333,
        0.5722099053766567,
        0.5724437982005333,
        0.5719757565125411,
        0.5722099053766567,
        0.5725489665500166,
        0.5722099053766567,
        0.5726774354039088,
        0.5726774354039088,
        0.5726774354039088,
        0.5724437982005333,
        0.5726774354039088,
        0.5730337010413681,
        0.5729506593711816,
        0.5731838921517461,
        0.5729506593711816,
        0.5726774354039088,
        0.5726774354039088,
        0.5724834282759763,
        0.5724437982005333,
        0.5727171715521094,
        0.5729108174056042,
        0.5726774354039088,
        0.5724437982005333,
        0.5734168703114423,
        0.5729506593711816,
        0.5727569511752959,
        0.5722494291233127,
        0.5724437982005333,
        0.5724437982005333,
        0.5729108174056042,
        0.5729506593711816,
        0.5731838921517461,
        0.5729108174056042,
        0.5729108174056042,
        0.5733768174746696,
        0.5724437982005333,
        0.5729506593711816,
        0.5731439446235264,
        0.5725489665500166,
        0.5724437982005333,
        0.5715851384247993,
        0.5711146115262596,
        0.5715851384247993,
        0.57201517367373,
        0.5706819074867235,
        0.5700403028651291,
        0.5685459971832224,
        0.5696047359245493,
        0.5691839628323103,
        0.5699805875522217,
        0.5708789602802046,
        0.5710365922266949,
        0.5696200926552077,
        0.5685081264772592,
        0.5671102105599402,
        0.571310865325747,
        0.5717413511875291,
        0.5735693222520474,
        0.5709071347337626,
        0.568621864341785,
        0.5674845005286869,
        0.565339153419155,
        0.571944281758071,
        0.5692956104341675,
        0.5485780326587958,
        0.552212222576603,
        0.5586004163245404,
        0.5429182845038861,
        0.5686908660555876,
        0.5658936609288868,
        0.5416651109871573,
        0.5451503149719322,
        0.5531840899524024,
        0.5572879421481854,
        0.5714767665338045,
        0.5613133816024231,
        0.5855121556309373,
        0.5957444645239959,
        0.6139912540031803,
        0.6170816256613577,
        0.6327399829445756,
        0.6303264753358271,
        0.652373965970609,
        0.6507793528001214,
        0.6762408891947976,
        0.6743977724563318,
        0.6883509480804512,
        0.684275370778099,
        0.6989396764260676,
        0.698591297409335,
        0.7162998826561998,
        0.7161731031144265,
        0.7310782024545814,
        0.7316247498387481,
        0.7438420965185408,
        0.7447291768788906,
        0.751053840801429,
        0.7463880050963764,
        0.7564895794275807,
        0.7519949454990947,
        0.5820934997069577,
        0.580547782333992,
        0.5789472059095562,
        0.5807040359908943,
        0.5747251130443638,
        0.5717437678075005,
        0.5745612422284232,
        0.5683711556386706,
        0.5643452429277078,
        0.5674404143009993,
        0.5739462835487219,
        0.5766105602465582,
        0.576339851063344,
        0.5744968492972339,
        0.5747281009452241,
        0.5745373807599896,
        0.5745373807599896,
        0.574768736116589,
        0.575230692820144,
        0.5745373807599896,
        0.5747281009452241,
        0.5747281009452241,
        0.5751898509787168,
        0.5752936065834471,
        0.5756505993855169,
        0.574768736116589,
        0.575230692820144,
        0.5748094155046677,
        0.5745373807599896,
        0.5747281009452241,
        0.5754203501816498,
        0.5751898509787168,
        0.5754612949857855,
        0.5751898509787168,
        0.576339851063344,
        0.5761516016316423,
        0.5770685259821063,
        0.5768396670227762,
        0.576339851063344,
        0.5765691043271746,
        0.5767981096156668,
        0.5763812052507166,
        0.5747281009452241,
        0.5749591013693319,
        0.5742653460153117,
        0.5740335906885147,
        0.5736738708648979,
        0.5738418017400532,
        0.5744968492972339,
        0.5754203501816498,
        0.5756505993855169,
        0.5744968492972339,
        0.5733768174746696,
        0.5731439446235264,
        0.5729108174056042,
        0.5736094363751192,
        0.5745373807599896,
        0.5739462835487219,
        0.5740739139837451,
        0.5745373807599896,
        0.5747281009452241,
        0.574768736116589,
        0.5746415218164973,
        0.5749591013693319,
        0.5746875099185198,
        0.5749998400000444,
        0.5749591013693319,
        0.5699337600186756,
        0.5746999486115738,
        0.5794592990901831,
        0.5742653460153117,
        0.5711937062151272,
        0.5104693773094409,
        0.4781269686937744,
        0.47469203622276157,
        0.4694520783992527,
        0.5677433461334703,
        0.6642236241955393,
        0.7256811093211789,
        0.7180623307873495,
        0.7001965145496107,
        0.6980631285856889,
        0.6894363711328013,
        0.6880715325175055,
        0.6716546874033803,
        0.6471516657231695,
        0.6477830178290604,
        0.653344834850313,
        0.6332165564986875,
        0.63168991308082,
        0.6217632481855961,
        0.6042400640488248,
        0.6040861753387373,
        0.600268628294217,
        0.5832740619161447,
        0.585219024305417,
        0.5757573680142548,
        0.5593549778789649,
        0.5639251632828723,
        0.5440026412140864,
        0.6349459173676091,
        0.6117172238947624,
        0.6127776034765927,
        0.6030700061557878,
        0.6012450959190638,
        0.5922617406720718,
        0.5880911902649867,
        0.5871682183919178,
        0.5838321726063841,
        0.581515650089415,
        0.5800157066031667,
        0.576289629494901,
        0.5726110416381914,
        0.5713500040992304,
        0.5731838921517461,
        0.5704744334370765,
        0.5703295098853247,
        0.5710365922266949,
        0.5705654628613306,
        0.570671557174867,
        0.5705654628613306,
        0.5724834282759763,
        0.5727171715521094,
        0.5736495942669982,
        0.5738418017400532,
        0.5731439446235264,
        0.5728710189356104,
        0.5725886443898454,
        0.5719757565125411,
        0.5726774354039088,
        0.5726774354039088,
        0.5722099053766567,
        0.5731439446235264,
        0.5721206203697013,
        0.5720811552132464,
        0.5722099053766567,
        0.5725489665500166,
        0.5720811552132464,
        0.5722099053766567,
        0.5719757565125411,
        0.5717806615059186,
        0.5712717694675734,
        0.5714675287013282,
        0.5722099053766567,
        0.5715066889800412,
        0.5717413511875291,
        0.5719757565125411,
        0.57201517367373,
        0.57201517367373,
        0.5717806615059186,
        0.5715066889800412,
        0.5717413511875291,
        0.5717413511875291,
        0.5718075499929044,
        0.5712717694675734,
        0.5717413511875291,
        0.5717413511875291,
        0.5717413511875291,
        0.5723151888072532,
        0.5719757565125411,
        0.5717806615059186,
        0.5719757565125411,
        0.5715066889800412,
        0.5716123187896088,
        0.5722099053766567,
        0.5715066889800412,
        0.5719757565125411,
        0.5717806615059186,
        0.5717806615059186,
        0.57201517367373,
        0.57201517367373,
        0.5715066889800412,
        0.5715458921976443,
        0.5717806615059186,
        0.57201517367373,
        0.5715066889800412,
        0.5719757565125411,
        0.5717806615059186,
        0.5717413511875291,
        0.5717413511875291,
        0.5715066889800412,
        0.5717413511875291,
        0.5715066889800412,
        0.5719757565125411,
        0.5717413511875291,
        0.5719757565125411,
        0.5719757565125411,
        0.5724437982005333,
        0.5726774354039088,
        0.5724437982005333,
        0.5717413511875291,
        0.5717413511875291,
        0.5719757565125411,
        0.5722099053766567,
        0.5724437982005333,
        0.5724437982005333,
        0.5724437982005333,
        0.5720811552132464,
        0.5717806615059186,
        0.5722099053766567,
        0.5722494291233127,
        0.5724834282759763,
        0.5722494291233127,
        0.5724834282759763,
        0.5724834282759763,
        0.5722099053766567,
        0.5719757565125411,
        0.5717413511875291,
        0.5727171715521094,
        0.5724437982005333,
        0.5724437982005333,
        0.5727171715521094,
        0.5724834282759763,
        0.5717413511875291,
        0.57201517367373,
        0.5717413511875291,
        0.5717413511875291,
        0.5717413511875291,
        0.5724834282759763,
        0.5717413511875291,
        0.5719757565125411,
        0.5724437982005333,
        0.5719757565125411,
        0.5722099053766567,
        0.5722494291233127,
        0.5724437982005333,
        0.5722099053766567,
        0.5726774354039088,
        0.5724834282759763,
        0.5726774354039088,
        0.5722494291233127,
        0.5726774354039088,
        0.5729506593711816,
        0.5722494291233127,
        0.5715066889800412,
        0.5722494291233127,
        0.5722099053766567,
        0.5724437982005333,
        0.57201517367373,
        0.5722099053766567,
        0.5724437982005333,
        0.5722494291233127,
        0.5729506593711816,
        0.5726774354039088,
        0.5729506593711816,
        0.5729108174056042,
        0.5724834282759763,
        0.5724437982005333,
        0.5729506593711816,
        0.5727171715521094,
        0.5731838921517461,
        0.5731439446235264,
        0.5736495942669982,
        0.5733768174746696,
        0.5731439446235264,
        0.5729108174056042,
        0.5726774354039088,
        0.5722099053766567,
        0.5712717694675734,
        0.5708011568330448,
        0.5715066889800412,
        0.5715066889800412,
        0.5713951246961053,
        0.5708400371937952,
        0.5710755804661376,
        0.5717806615059186,
        0.5720546340317958,
        0.5715458921976443,
        0.5711146115262596,
        0.5706430499344466,
        0.5710755804661376,
        0.5699337600186756,
        0.5689843866887384,
        0.5680308125930442,
        0.5670730097885914,
        0.5687084485768622,
        0.5687084485768622,
        0.568946336844719,
        0.5708789602802046,
        0.5715851384247993,
        0.572004558223087,
        0.5707597509752244,
        0.5729565039200604,
        0.5757242784194475,
        0.5750823462914404,
        0.5775765922592021,
        0.5774529792414964,
        0.5775812834226299,
        0.5782896745783934,
        0.587562576223068,
        0.5900923263924921,
        0.6011802654276021,
        0.6115491193728737,
        0.618197099480207,
        0.6385673129771546,
        0.6492172803958003,
        0.6622877180671529,
        0.646362903052746,
        0.5938156682827672,
        0.6096125089062209,
        0.6378502492794875,
        0.6508415264438643,
        0.6222137306289524,
        0.6312867431813517,
        0.6484083404995779,
        0.6607943490804297,
        0.6586611517838505,
        0.6787701232523576,
        0.6851187692215794,
        0.7136904002417488,
        0.7220741871565473,
        0.7481143416029088,
        0.7518515667051836,
        0.7718192343406449,
        0.7737129440139504,
        0.7899405292532906,
        0.7891140929694349,
        0.7983627910998891,
        0.8004498050785445,
        0.7959446372591857,
        0.797397465972117,
        0.7907060187052181,
        0.8044799914740103,
        0.8197513078779695,
        0.851732567866364,
        0.8310337764732344,
        0.7974067278203367,
        0.857241327303726,
        0.8584877513396677,
        0.7922669591792222,
        0.8465656959111888,
        0.5554448275408979,
        0.48390393989122105,
        0.7732064726570225,
        0.48161998189963867,
        0.5456955899786898,
        0.5693591690741534,
        0.5756916469049792,
        0.5738418017400532,
        0.5745373807599896,
        0.5740739139837451,
        0.574768736116589,
        0.5740739139837451,
        0.5749998400000444,
        0.5745373807599896,
        0.5749998400000444,
        0.5744100279746738,
        0.574768736116589,
        0.5749998400000444,
        0.574768736116589,
        0.574768736116589,
        0.5745373807599896,
        0.5754612949857855,
        0.5751037548137011,
        0.5744100279746738,
        0.5749998400000444,
        0.574768736116589,
        0.5749998400000444,
        0.5749998400000444,
        0.5745373807599896,
        0.574768736116589,
        0.5754612949857855,
        0.574768736116589,
        0.5754612949857855,
        0.5740739139837451,
        0.5749591013693319,
        0.575230692820144,
        0.5749998400000444,
        0.5751898509787168,
        0.5744968492972339,
        0.5745373807599896,
        0.574768736116589,
        0.574768736116589,
        0.5749998400000444,
        0.5761516016316423,
        0.5767981096156668,
        0.5770268673309427,
        0.576339851063344,
        0.5765691043271746,
        0.576339851063344,
        0.5774836416459911,
        0.575542433707148,
        0.5743057735195667,
        0.575230692820144,
        0.5763812052507166,
        0.574768736116589,
        0.5745373807599896,
        0.575230692820144,
        0.5788905242908193,
        0.5811460645169871,
        0.5809215983752098,
        0.517521736563749,
        0.49175445133358897,
        0.5251841100158081,
        0.5278456118378498,
        0.5470033607134426,
        0.5663665410688026,
        0.5716683691521808,
        0.5758676960558452,
        0.5961414347341936,
        0.6985798900202582,
        0.7260843316155852,
        0.7298385018479906,
        0.7064712588215939,
        0.6819691622300658,
        0.6751180894790657,
        0.6777394883543711,
        0.6579401270004542,
        0.6517166547449704,
        0.6324663922538349,
        0.6292370606148481,
        0.6117019055380314,
        0.617811839888035,
        0.5990096840926745,
        0.6014849307211566,
        0.5864766546077956,
        0.5875442698771058,
        0.5658745214343016,
        0.568360564781239,
        0.576551520555601,
        0.5766889896859712,
        0.5651584811876148,
        0.5537160246604023,
        0.5623001355286458,
        0.5893999407264009,
        0.5925411846086214,
        0.5889757685754933,
        0.5824998343111583,
        0.5931608488431046,
        0.5850654816446791,
        0.5800107608052925,
        0.5781846385836331,
        0.5749861552310281,
        0.5720174310759072,
        0.5722525862674043,
        0.5726025790835504,
        0.5682318834614782,
        0.5696584296998259,
        0.568946336844719,
        0.5703295098853247,
        0.571232716454164,
        0.5709976467375026,
        0.571232716454164,
        0.5700932974778624,
        0.5705267331999521,
        0.5710365922266949,
        0.5708011568330448,
        0.5712717694675734,
        0.57201517367373,
        0.5719757565125411,
        0.5717413511875291,
        0.5717806615059186,
        0.5729506593711816,
        0.5725886443898454,
        0.5729506593711816,
        0.5731439446235264,
        0.5729108174056042,
        0.5729506593711816,
        0.5726774354039088,
        0.5724437982005333,
        0.5729506593711816,
        0.5726774354039088,
        0.5726774354039088,
        0.5727171715521094,
        0.5729108174056042,
        0.5722494291233127,
        0.5727171715521094,
        0.5722099053766567,
        0.5722099053766567,
        0.5724437982005333,
        0.5717413511875291,
        0.5712717694675734,
        0.57201517367373,
        0.57201517367373,
        0.5711600151212683,
        0.5715458921976443,
        0.5715066889800412,
        0.5717413511875291,
        0.5716299766166859,
        0.5712717694675734,
        0.5715066889800412,
        0.5719700551076298,
        0.5715066889800412,
        0.5715458921976443,
        0.5717806615059186,
        0.5710365922266949,
        0.5715066889800412,
        0.5712717694675734,
        0.57201517367373,
        0.5717413511875291,
        0.5717413511875291,
        0.5715066889800412,
        0.5717413511875291,
        0.5724834282759763,
        0.5728222726584465,
        0.5724437982005333,
        0.5726774354039088,
        0.5724437982005333,
        0.5717413511875291,
        0.5724437982005333,
        0.5719757565125411,
        0.5715066889800412,
        0.5724437982005333,
        0.5717806615059186,
        0.5715458921976443,
        0.57201517367373,
        0.57201517367373,
        0.57201517367373,
        0.5719757565125411,
        0.5717413511875291,
        0.5719757565125411,
        0.57201517367373,
        0.5724437982005333,
        0.5719757565125411,
        0.5724834282759763,
        0.5719757565125411,
        0.57201517367373,
        0.5724437982005333,
        0.5719757565125411,
        0.5726774354039088,
        0.5722099053766567,
        0.5719757565125411,
        0.5726774354039088,
        0.5724437982005333,
        0.5722099053766567,
        0.5719757565125411,
        0.5724834282759763,
        0.5722494291233127,
        0.5734168703114423,
        0.5722099053766567,
        0.5717413511875291,
        0.5722494291233127,
        0.5722494291233127,
        0.57201517367373,
        0.5724437982005333,
        0.5715458921976443,
        0.5715458921976443,
        0.5719757565125411,
        0.5722494291233127,
        0.57201517367373,
        0.5729506593711816,
        0.5722494291233127,
        0.5724437982005333,
        0.5724834282759763,
        0.5715458921976443,
        0.5727171715521094,
        0.5712717694675734,
        0.5712717694675734,
        0.5722494291233127,
        0.5717413511875291,
        0.5722099053766567,
        0.5729108174056042,
        0.5710365922266949,
        0.5715066889800412,
        0.5717806615059186,
        0.5717806615059186,
        0.5701318526361339,
        0.5706042350827646,
        0.5700017651979944,
        0.5694213269731573,
        0.5694213269731573,
        0.5691839628323103,
        0.5703681737061544,
        0.5710755804661376,
        0.5722099053766567,
        0.5695817977855443,
        0.5685396611811041,
        0.5706042350827646,
        0.5717820171879028,
        0.5704418275877261,
        0.5691281002811841,
        0.5712296647358996,
        0.5752851449081238,
        0.5917821222025365,
        0.5838814150508308,
        0.5889805501057621,
        0.5954366695250001,
        0.600729344796058,
        0.5991806279809938,
        0.6135180161055896,
        0.5757085729621202,
        0.5784901161075888,
        0.5890686224000441,
        0.5960193399707387,
        0.6136203515124253,
        0.6277852914860241,
        0.6382976405614241,
        0.6531513212369147,
        0.6684856744615033,
        0.6785208821107805,
        0.6869715832891192,
        0.6945227168935469,
        0.6983788882522968,
        0.7171003749786122,
        0.714837998595601,
        0.7267766557989811,
        0.7284056369777485,
        0.7462921030356238,
        0.7477045319034461,
        0.7623236687959729,
        0.7624997250705217,
        0.774999720563481,
        0.7728548553433995,
        0.7844824759640903,
        0.7841066093793361,
        0.7883260171428124,
        0.8014057350206583,
        0.5649715879856197,
        0.5680308125930442,
        0.5756916469049792,
        0.5754612949857855,
        0.574768736116589,
        0.5749998400000444,
        0.5740335906885147,
        0.5744968492972339,
        0.575230692820144,
        0.5743057735195667,
        0.5749998400000444,
        0.5747281009452241,
        0.5751037548137011,
        0.5756916469049792,
        0.5762136559227744,
        0.5756916469049792,
        0.575230692820144,
        0.5766105602465582,
        0.5763812052507166,
        0.5768396670227762,
        0.5770685259821063,
        0.5768396670227762,
        0.5775255020566953,
        0.5763812052507166,
        0.5740739139837451,
        0.5740739139837451,
        0.5741782820227713,
        0.5745373807599896,
        0.5743057735195667,
        0.5745373807599896,
        0.5745373807599896,
        0.5749591013693319,
        0.575772616705217,
        0.574768736116589,
        0.5749998400000444,
        0.5740739139837451,
        0.5740739139837451,
        0.5745373807599896,
        0.5738418017400532,
        0.5740739139837451,
        0.5740739139837451,
        0.574768736116589,
        0.5743057735195667,
        0.5733368083160055,
        0.5738418017400532,
        0.5738418017400532,
        0.5743057735195667,
        0.5740739139837451,
        0.5740335906885147,
        0.5743057735195667,
        0.5740739139837451,
        0.5740739139837451,
        0.5744100279746738,
        0.5738418017400532,
        0.5740739139837451,
        0.5736094363751192,
        0.5740739139837451,
        0.574768736116589,
        0.5739060176754704,
        0.5736094363751192,
        0.5740739139837451,
        0.5740739139837451,
        0.5749998400000444,
        0.5743057735195667,
        0.5745373807599896,
        0.5745373807599896,
        0.574768736116589,
        0.574768736116589,
        0.574768736116589,
        0.5744968492972339,
        0.575368490120881,
        0.5698446276272453,
        0.5204332715406594,
        0.5278119466998042,
        0.4830621630570274,
        0.4830161363422134,
        0.5016478201425947,
        0.4970137661107841,
        0.6266620207108015,
        0.6889212952655458,
        0.7068793449484825,
        0.7404934095179281,
        0.7313556783361984,
        0.7204788334108213,
        0.7235492351827929,
        0.7175119059304407,
        0.7058615761331981,
        0.7016922713212673,
        0.6924838711702597,
        0.696150878227931,
        0.6827328039836189,
        0.6856485535599016,
        0.6679023008714844,
        0.673709587682592,
        0.6549715547634443,
        0.6555670643760838,
        0.6356586853719189,
        0.6334504758263073,
        0.612675835429558,
        0.5982592782638885,
        0.6007695538180464,
        0.596852933154754,
        0.589859928665536,
        0.5905640636192443,
        0.581660693556903,
        0.5824173776114716,
        0.5776331766428273,
        0.5798088015947432,
        0.5759320034730944,
        0.5774693534070982,
        0.5715247688119557,
        0.5667113947734271,
        0.5707576846224449,
        0.5694720831197685,
        0.5639998074880657,
        0.5625830305975288,
        0.5608780524487272,
        0.5573986161990102,
        0.5566223278207736,
        0.5565474305871134,
        0.5550628309291271,
        0.5662377556824881,
        0.5516554420876911,
        0.5480448770053167,
        0.5596625897877782,
        0.610730415129011,
        0.6145596418428123,
        0.6076921304054868,
        0.6066304156461542,
        0.5854141044996546,
        0.6076091362317559,
        0.6062321187587282,
        0.6035265591549498,
        0.6033992583906967,
        0.6034578747333152,
        0.6021626019879043,
        0.603965830464303,
        0.6013088742913241,
        0.6037894179071369,
        0.6013088742913241,
        0.6012512469620942,
        0.6016466166706032,
        0.6038315243936015,
        0.6029992593459984,
        0.6035651901384395,
        0.6065802527732905,
        0.6064604997147326,
        0.606179600919126,
        0.6070026270110112,
        0.6045068678830894,
        0.6047295553932813,
        0.6042839293160249,
        0.6038372973111195,
        0.6031654557259958,
        0.6037307466873135,
        0.6045657781636536,
        0.6037307466873135,
        0.603506612559171,
        0.6039069596826935,
        0.6045786831292901,
        0.6037413213630631,
        0.604308214622559,
        0.6052443923902172,
        0.6046970517233217,
        0.6064767353008041,
        0.6041848028905723,
        0.6038590753826069,
        0.6042019821968115,
        0.6039180526938994,
        0.6040192402521489,
        0.6048113083132054,
        0.6032421451308428,
        0.6052629825157628,
        0.6037519561563379,
        0.6040362084897448,
        0.6042611878512908,
        0.6040362084897448,
        0.6042019821968115,
        0.60427053950822,
        0.6039770970248445,
        0.6038590753826069,
        0.6029577311067359,
        0.6039180526938994,
        0.6033501936880754,
        0.6026582359277355,
        0.6034578747333152,
        0.6020464421558963,
        0.6030662641851634,
        0.6032262723440867,
        0.6041900853084237,
        0.6037413213630631,
        0.6040837723817972,
        0.6042491165011061,
        0.6035753070201151,
        0.6039069596826935,
        0.6041900853084237,
        0.604861328609949,
        0.6051439740906078,
        0.604861328609949,
        0.6046378339510345,
        0.6059750224017973,
        0.6059750224017973,
        0.6060347939707758,
        0.6054673614056933,
        0.6059750224017973,
        0.6039069596826935,
        0.6057527861559918,
        0.6056931735541686,
        0.6051887705264238,
        0.6046837981952005,
        0.6051294758589111,
        0.603506612559171,
        0.6052333652901052,
        0.603214715822936,
        0.6034967236377199,
        0.6039434877639066,
        0.6041078732114625,
        0.6043305346359765,
        0.6037622523155964,
        0.6033218981414348,
        0.603768105101648,
        0.602932708008152,
        0.6029907964270385,
        0.6025421985866635,
        0.6011329700962715,
        0.6021360827976627,
        0.6013588290511209,
        0.6021938373585649,
        0.6022019715824904,
        0.6013456372026534,
        0.6021442955429575,
        0.6020348738033604,
        0.6028746850778812,
        0.6030984175851325,
        0.6027666241578139,
        0.6019772269986778,
        0.6027666241578139,
        0.601244169775444,
        0.6024264625043179,
        0.602932708008152,
        0.6022019715824904,
        0.6020348738033604,
        0.6018097804713758,
        0.603603429591804,
        0.6028746850778812,
        0.603214715822936,
        0.602932708008152,
        0.6022597127926707,
        0.6020348738033604,
        0.6020348738033604,
        0.6027666241578139,
        0.6036617977043153,
        0.6034967236377199,
        0.603214715822936,
        0.6022597127926707,
        0.6030596115248047,
        0.6033218981414348,
        0.603214715822936,
        0.6020925858193417,
        0.6036617977043153,
        0.6024842978701521,
        0.6020348738033604,
        0.6022597127926707,
        0.6037202316207674,
        0.602932708008152,
        0.6024264625043179,
        0.6010757034253906,
        0.6010185015724545,
        0.6018535091983397,
        0.600906855065584,
        0.601244169775444,
        0.6012031099569691,
        0.6008496840594684,
        0.6011329700962715,
        0.6006234084358361,
        0.601244169775444,
        0.6007925777996603,
        0.6011869373613838,
        0.6017643658366146,
        0.6010185015724545,
        0.601482039548953,
        0.6014695828420427,
        0.6019772269986778,
        0.601694741204685,
        0.6018621285815972,
        0.600735536176234,
        0.6018621285815972,
        0.6016811148067748,
        0.6023109873826237,
        0.6014122554106922,
        0.6018218598119818,
        0.602650700193368,
        0.6022019715824904,
        0.6015269751234099,
        0.6033218981414348,
        0.6028746850778812,
        0.6020207692937226,
        0.6017522283227016,
        0.602650700193368,
        0.601694741204685,
        0.6019772269986778,
        0.6030984175851325,
        0.6011869373613838,
        0.601694741204685,
        0.6022712706755696,
        0.6033218981414348,
        0.603768105101648,
        0.6030596115248047,
        0.6038959293084608,
        0.6002276154233832,
        0.600510898658955,
        0.6019687639208983,
        0.6005696253608842,
        0.6001142406988036,
        0.5931692312966872,
        0.6006287549903244,
        0.570157130215638,
        0.5568974665406847,
        0.540423938570539,
        0.5403704323827522,
        0.5371104870771575,
        0.5432341398443039,
        0.5471873156842725,
        0.542932445190613,
        0.5432912900428681,
        0.5438827935718149,
        0.5405583266184419,
        0.5449099940160234,
        0.542942557931698,
        0.5402794429939581,
        0.5389998160213961,
        0.5406664821191741,
        0.538333149582285,
        0.5380251664650532,
        0.5407479780474517,
        0.5424463384140874,
        0.5425031608021296,
        0.5455456936909611,
        0.5459421331171213,
        0.5469481689889587,
        0.5520481647759165,
        0.5527197562172497,
        0.5537632503180213,
        0.5531626627057312,
        0.5501343999536926,
        0.5508073472319234,
        0.553198462466254,
        0.5383578225846533,
        0.535714100885701,
        0.5353533507737942,
        0.5390307698628841,
        0.5353771737782257,
        0.5401211891152738,
        0.5401211891152738,
        0.5384613524344045,
        0.5360753375114141,
        0.5404583434155955,
        0.5401211891152738,
        0.5377865888348626,
        0.5395001510978545,
        0.5408505895236314,
        0.5388249318849662,
        0.5357864454269682,
        0.5303846917238608,
        0.5283398984412766,
        0.5263333764465302,
        0.5253376560994054,
        0.5256408440431092,
        0.5234309932546095,
        0.5202564035305344,
        0.5195811843176459,
        0.518230745891869,
        0.5185558262479196,
        0.5158674786467595,
        0.5165650679639521,
        0.5155508695320857,
        0.5148848013389592,
        0.5163902135373549,
        0.5145268490285495,
        0.5165650679639521,
        0.527063416876543,
        0.5372374576400959,
        0.5423439853115715,
        0.5453927647418052,
        0.544436717264858,
        0.5410724527976267,
        0.5451457711373829,
        0.5454852143323626,
        0.5508817625159685,
        0.55940238532653,
        0.5600812717164894,
        0.5583840557415909,
        0.5565596622660991,
        0.5642418158451328,
        0.5632651099375944,
        0.5645378471172705,
        0.5625422923034306,
        0.5689536064509194,
        0.5673009582201967,
        0.560420714911469,
        0.5590228723068449,
        0.5451151430807644,
        0.5484087469293984,
        0.535686301213992,
        0.5246786554188833,
        0.5236484674945842,
        0.5212836034478344,
        0.5283781955880836,
        0.5277025201461552,
        0.5097905057307637,
        0.5216214411687987,
        0.5062394675541216,
        0.5013530062971994,
        0.48542356031399125,
        0.4861109424872611,
        0.4861203460435902,
        0.4843854392360184,
        0.484364209385129,
        0.4829466253283273,
        0.4818863658743545,
        0.4828882633546948,
        0.4780519583246895,
        0.4724928677462755,
        0.4706906901649453,
        0.4749998311111711,
        0.4746701991456336,
        0.47675208598399166,
        0.4912279004664743,
        0.47786981696449077,
        0.4782456872501437,
        0.4786057660136976,
        0.47972491710023535,
        0.47972491710023535,
        0.47829066513795965,
        0.4946735996851644,
        0.516507768601919,
        0.49735257799833227,
        0.5151262305176247,
        0.49203170523224893,
        0.5393628148114415,
        0.533758957856091,
        0.5330702227354648,
        0.5240739084408388,
        0.5299143642758519,
        0.5361880129503844,
        0.49004628340829653,
        0.5126901887707,
        0.49161619603789913,
        0.5243596074502692,
        0.5229579493792242,
        0.4807160839348244,
        0.5785785642245034,
        0.6171014313489472,
        0.6439339755351642,
        0.6749313641827234,
        0.698044725238732,
        0.6916892242511061,
        0.7113930238618886,
        0.6972506137509867,
        0.7220687105522897,
        0.7182007254260214,
        0.7357892093164384,
        0.734715125668205,
        0.7526368598100758,
        0.7536917117509448,
        0.7688506009463103,
        0.7651770422958948,
        0.7890018243366591,
        0.7847853817216335,
        0.8176860628303346,
        0.8220812792506224,
        0.8396621449317734,
        0.8395362149982147,
        0.8523522216261674,
        0.8552489902475541,
        0.8668360647331003,
        0.8704318723393404,
        0.8577068545323668,
        0.846666362460928,
        0.7959646262920079,
        0.8071125345188384,
        0.9016289687217716,
        0.9026537930419575,
        0.9122699339127255,
        0.9192110935328323,
        0.5740739139837451,
        0.5813267535370263,
        0.5774836416459911,
        0.5772553778742553,
        0.5783942369946932,
        0.5781669563226514,
        0.5783942369946932,
        0.5793009158053393,
        0.5788480643863245,
        0.5786212728841724,
        0.5779814916748388,
        0.5761103494211816,
        0.5775255020566953,
        0.576339851063344,
        0.5756505993855169,
        0.5766105602465582,
        0.5767981096156668,
        0.5761103494211816,
        0.5766908575401952,
        0.5765691043271746,
        0.5765691043271746,
        0.5761103494211816,
        0.5761516016316423,
        0.5758805989968202,
        0.5756505993855169,
        0.57600255018249,
        0.5756916469049792,
        0.5754612949857855,
        0.575230692820144,
        0.575230692820144,
        0.5756916469049792,
        0.575230692820144,
        0.5744968492972339,
        0.5746009436539811,
        0.5758805989968202,
        0.5751898509787168,
        0.5754612949857855,
        0.575230692820144,
        0.5754203501816498,
        0.5761516016316423,
        0.5761103494211816,
        0.5762136559227744,
        0.5763812052507166,
        0.576339851063344,
        0.5758805989968202,
        0.5758805989968202,
        0.5765691043271746,
        0.5758805989968202,
        0.576339851063344,
        0.5765691043271746,
        0.5761103494211816,
        0.5766105602465582,
        0.5767981096156668,
        0.5761103494211816,
        0.5761103494211816,
        0.5768396670227762,
        0.5758805989968202,
        0.5761103494211816,
        0.5765691043271746,
        0.5754203501816498,
        0.5772553778742553,
        0.5773769337563532,
        0.5788480643863245,
        0.5833331742989428,
        0.5793009158053393,
        0.5777536199730813,
        0.575230692820144,
        0.5736738708648979,
        0.5679181166349665,
        0.5652776169877001,
        0.555043063872018,
        0.5377469890194977,
        0.5587237232825825,
        0.5644430248757327,
        0.6620068360327234,
        0.5616994833584775,
        0.56576010562199,
        0.5694828840604577,
        0.555460589080875,
        0.5641679222862145,
        0.5713885708025944,
        0.565863066299389,
        0.5650721416479775,
        0.567201166810289,
        0.5645249781917381,
        0.5668553596430911,
        0.5640658947598302,
        0.5658029752779339,
        0.5728641578411787,
        0.5736194681019701,
        0.5782558434505356,
        0.5792986663322665,
        0.5759335034125118,
        0.5873031933279855,
        0.5881043351253921,
        0.5772220580346146,
        0.579977773332256,
        0.5809390621874034,
        0.5772199142103717,
        0.5774957001225601,
        0.5769441282981833,
        0.5790631975314836,
        0.5788311486430275,
        0.5795265290492114,
        0.5799888416963788,
        0.5790631975314836,
        0.5787034126685883,
        0.579294990859562,
        0.5788311486430275,
        0.5783662824925294,
        0.5785988437713138,
        0.5790196605407124,
        0.5794827850961574,
        0.5797578125214521,
        0.5798456514972612,
        0.5802637179246709,
        0.5799888416963788,
        0.5797139654680866,
        0.5794390892397946,
        0.5804059839912932,
        0.5789761714717667,
        0.5804059839912932,
        0.5808282975738617,
        0.5801315603582003,
        0.5797139654680866,
        0.5789905120992088,
        0.5790338658258292,
        0.5802298482597578,
        0.5801315603582003,
        0.5814143104801935,
        0.5808660650200519,
        0.5813251382045614,
        0.5817437068922191,
        0.5825161774246825,
        0.5817384921541235,
        0.5816126786153886,
        0.5821953587744272,
        0.5807774932321595,
        0.5795950236582865,
        0.5785869133425522,
        0.5791345583149541,
        0.5794954513696978,
        0.5806511833830523,
        0.5791642130115024,
        0.5789327302455677,
        0.5780042470021088,
        0.5769441282981833,
        0.5758625713505534,
        0.5768170179899156,
        0.5812082607657264,
        0.586992606703605,
        0.5846678017020566,
        0.5821607776779301,
        0.5680776368102116,
        0.5600581418368696,
        0.558411047951836,
        0.5454956126319181,
        0.5093410945874696,
        0.5242136676745925,
        0.5053189769126887,
        0.507318523122366,
        0.4954845188522942,
        0.49833870089739873,
        0.5019984963202997,
        0.5130171811316443,
        0.5103607878979122,
        0.5143907206371827,
        0.513078294637098,
        0.5134136399277105,
        0.5154464312232553,
        0.5166334121455088,
        0.5208611933506521,
        0.5252523441554207,
        0.5289950972046596,
        0.5317137164389859,
        0.5325842752140885,
        0.5381754894960469,
        0.5395535657529238,
        0.5375505580339068,
        0.5365356734057748,
        0.538201301177102,
        0.5406226968186725,
        0.5406226968186725,
        0.5430214918516234,
        0.544007935997249,
        0.5457005555865372,
        0.5447455736205195,
        0.5454235394868798,
        0.54576252242006,
        0.5464404882864203,
        0.5484415441720388,
        0.5474574370859608,
        0.5437286248209791,
        0.5461015053532402,
        0.5481354029523211,
        0.5542529914417068,
        0.5563753113359039,
        0.556521548535764,
        0.556559380884603,
        0.557152215734001,
        0.5564460354706946,
        0.5575598895389429,
        0.5581160415795502,
        0.5581548891876315,
        0.5587840440230925,
        0.5594123588657358,
        0.5587056130371755,
        0.5580385018574296,
        0.5570378350878108,
        0.557999809536065,
        0.5569998098773982,
        0.5566664766578426,
        0.5556664769991758,
        0.5556293907513337,
        0.5539638350236619,
        0.5526664780231755,
        0.55229827929599,
        0.5532976127325931,
        0.5529645015870587,
        0.5519305708465697,
        0.551230683812302,
        0.552228687464346,
        0.5512989458593869,
        0.5512647921121347,
        0.5496003452760474,
        0.5479678344040432,
        0.5485693407401846,
        0.548601677174395,
        0.5476030090727425,
        0.5482687878071775,
        0.5473016121129743,
        0.5483009455495775,
        0.5476030090727425,
        0.5486340566951119,
        0.549450179001671,
        0.5483653897511144,
        0.5483331461689528,
        0.548999812608064,
        0.5504159242257302,
        0.5493331458276195,
        0.5509658347138525,
        0.5512989458593869,
        0.5493331458276195,
        0.5499998122667307,
        0.550666478705842,
        0.550666478705842,
        0.5501164012927398,
        0.5512989458593869,
        0.5509998119253975,
        0.5513331451449531,
        0.5526313904415243,
        0.5518009380372011,
        0.5533331444622867,
        0.55229827929599,
        0.55229827929599,
        0.5519998115840643,
        0.5536664776818423,
        0.5523680568295897,
        0.55240301546706,
        0.5527016124194626,
        0.5530351680093355,
        0.5539998109013978,
        0.5539998109013978,
        0.5536664776818423,
        0.5552962796057993,
        0.5549998105600646,
        0.554666477340509,
        0.5543693903688273,
        0.5543693903688273,
        0.5553331437796202,
        0.5554461796212897,
        0.5547029459587002,
        0.5549998105600646,
        0.5553700571384461,
        0.5554665037829642,
        0.5559998102187315,
        0.5559998102187315,
        0.5582167093766099,
        0.5588820451446392,
        0.5609998085120653,
        0.5611220525754903,
        0.5632528190191142,
        0.56229049705778,
        0.568884212857045,
        0.5673398717319769,
        0.5695474060713897,
        0.5681353960099507,
        0.5746773291006161,
        0.5708876171407709,
        0.5762592856833993,
        0.5767102313229865,
        0.5857535961923642,
        0.5848923773632035,
        0.5889831356284764,
        0.5883168976229126,
        0.5887880909056389,
        0.5855029558215951,
        0.5828201495628282,
        0.571828806743974,
        0.5784311651563329,
        0.5740221411317484,
        0.5836259319631222,
        0.5859536687573177,
        0.6178426655556293,
        0.6371767221772818,
        0.6350097120284761,
        0.5751501038898776,
        0.49767733589197344,
        0.49566938455514664,
        0.47501718028535994,
        0.5680107376476434,
        0.5832762466638646,
        0.4837286456480904,
        0.5307597878473996,
        0.5434270667636982,
        0.5677542639987925,
        0.566163992252393,
        0.564876795739978,
        0.5669987318364614,
        0.5705654628613306,
        0.571232716454164,
        0.5596845233341915,
        0.563372256590399,
        0.5653139024787559,
        0.5772553778742553,
        0.5761516016316423,
        0.5749591013693319,
        0.5744968492972339,
        0.5721704248489571,
        0.5707987370529183,
        0.5677168100215552,
        0.5679556404456972,
        0.568194207114614,
        0.5742653460153117,
        0.5749591013693319,
        0.5747281009452241,
        0.574768736116589,
        0.5756916469049792,
        0.5756916469049792,
        0.5749591013693319,
        0.5751898509787168,
        0.574137911802437,
        0.5744968492972339,
        0.575230692820144,
        0.5749591013693319,
        0.5756916469049792,
        0.5756916469049792,
        0.5759217489848506,
        0.5747281009452241,
        0.5763812052507166,
        0.575230692820144,
        0.5749998400000444,
        0.5749998400000444,
        0.5756916469049792,
        0.5756916469049792,
        0.5749591013693319,
        0.5749591013693319,
        0.5757541300734008,
        0.5744968492972339,
        0.5749591013693319,
        0.5761516016316423,
        0.5751898509787168,
        0.5759217489848506,
        0.5761103494211816,
        0.5770268673309427,
        0.5775255020566953,
        0.5766105602465582,
        0.5768396670227762,
        0.5775255020566953,
        0.5768812694297726,
        0.5759217489848506,
        0.5756916469049792,
        0.5743057735195667,
        0.574768736116589,
        0.574768736116589,
        0.5743057735195667,
        0.5745373807599896,
        0.5749998400000444,
        0.5740739139837451,
        0.5733768174746696,
        0.5744100279746738,
        0.574768736116589,
        0.5740739139837451,
        0.5740739139837451,
        0.574768736116589,
        0.574832082200534,
        0.5756505993855169,
        0.5784364980272307,
        0.5754612949857855,
        0.5712717694675734,
        0.5782091175603731,
        0.4722431138604587,
        0.5534080932221056,
        0.554383047490508,
        0.5610728953942223,
        0.5810145676598698,
        0.5719908364120876,
        0.5571922095422234,
        0.5632584645824356,
        0.5891114292388668,
        0.5906383644984617,
        0.7529986992719008,
        0.8124997714286357,
        0.8159489968179434,
        0.8019420773429408,
        0.7839320129352843,
        0.7835737175525318,
        0.7776332357950914,
        0.7661947935281204,
        0.7673504530720656,
        0.7636360674381314,
        0.7406173735761569,
        0.7457086702963887,
        0.7406082800965894,
        0.7294491904389249,
        0.7310716834267601,
        0.7250650700273966,
        0.7349402478086468,
        0.7310440813343564,
        0.7325332568404886,
        0.7311023756418749,
        0.730689397163468,
        0.7238092717072468,
        0.7239812318664035,
        0.7335760623387824,
        0.7382852700893907,
        0.7306545392290927,
        0.7265622806604436,
        0.7210322980433255,
        0.7123186291552822,
        0.7111579863768989,
        0.7084504998723065,
        0.708356191102175,
        0.7103823149094288,
        0.7106967239996096,
        0.707035251341542,
        0.7062598386275883,
        0.7018865987245614,
        0.7002150922981015,
        0.6943989366328137,
        0.6909587102625426,
        0.689720966026717,
        0.6877392708689071,
        0.68732913603904,
        0.6869894655750646,
        0.6844260380185073,
        0.6853961178486361,
        0.6847529296833966,
        0.6841104391190104,
        0.6841818254056908,
        0.6833692579170856,
        0.6834413690898371,
        0.6835133243465826,
        0.6827285600665821,
        0.6835851241924494,
        0.6829727839556403,
        0.6833151458653592,
        0.6831440573907307,
        0.6829727839556403,
        0.6831440573907307,
        0.6827285600665821,
        0.6825566904284802,
        0.6832430541511115,
        0.6827285600665821,
        0.6830717416264296,
        0.6823846344818791,
        0.6829002436986338,
        0.6828275462580153,
        0.6822164241662948,
        0.6823846344818791,
        0.6830039558383991,
        0.6831708063942354,
        0.6833421579928691,
        0.6821387897638108,
        0.6832699784330108,
        0.6827546911223417,
        0.6821387897638108,
        0.6823846344818791,
        0.6827285600665821,
        0.6813723590072724,
        0.6824835415230079,
        0.6818710917884213,
        0.6822123919236742,
        0.682311259173432,
        0.6829002436986338,
        0.6825566904284802,
        0.6821136318470572,
        0.6819412423243405,
        0.6814973690034438,
        0.6817477572962928,
        0.6826296810030321,
        0.6819412423243405,
        0.6815959017496733,
        0.6829727839556403,
        0.6822858345989451,
        0.6826296810030321,
        0.6821136318470572,
        0.6825566904284802,
        0.681966132989321,
        0.6822123919236742,
        0.6825566904284802,
        0.6824835415230079,
        0.6825566904284802,
        0.6825566904284802,
        0.6823846344818791,
        0.6823632649841628,
        0.6827285600665821,
        0.6823632649841628,
        0.6825566904284802,
        0.6822899241874585,
        0.6820399624501027,
        0.6820399624501027,
        0.6824620827328904,
        0.6820399624501027,
        0.6821136318470572,
        0.6823846344818791,
        0.6823846344818791,
        0.6818673457567421,
        0.6823888093612133,
        0.682311259173432,
        0.682311259173432,
        0.6823591183074303,
        0.6821871417001535,
        0.6823591183074303,
        0.6830451675382689,
        0.6826296810030321,
        0.6826296810030321,
        0.6820399624501027,
        0.6830984020875505,
        0.6817190701631317,
        0.6819911049078097,
        0.6822631396524877,
        0.6821893522434922,
        0.6820161584783252,
        0.6832515770392564,
        0.6834510887713895,
        0.6838233387159317,
        0.6852252303990668,
        0.686550785513014,
        0.6856906875621889,
        0.6863709078150494,
        0.6877047256257817,
        0.689306954214315,
        0.6922238420779733,
        0.6942932850662163,
        0.6976742254141679,
        0.6991316560198546,
        0.7047411848989834,
        0.7070541938547403,
        0.7107682013456065,
        0.7135133160438822,
        0.7200678923101074,
        0.7263240385885994,
        0.7377950772960212,
        0.7395500642065435,
        0.744348917046059,
        0.7372973883326283,
        0.7449521136200324,
        0.7523608971062337,
        0.7560629514358538,
        0.7617513206398007,
        0.7682993280578514,
        0.7730334855094693,
        0.7782005648963963,
        0.7778579379580147,
        0.7804522044132665,
        0.7804804222708228,
        0.7846488878712101,
        0.785958919153232,
        0.7871240995830648,
        0.788653495713939,
        0.7948124455654338,
        0.7973666810236172,
        0.7989117268832465,
        0.7998857414244586,
        0.8025195861324869,
        0.8017189624755823,
        0.8026916317422019,
        0.8042166312341278,
        0.8047903545308883,
        0.8055712737205674,
        0.7986152363624911,
        0.8056355997194063,
        0.7923699776776556,
        0.7846761771430986,
        0.7981411281850959,
        0.8026631894893747,
        0.7910281498878303,
        0.7828588070300073,
        0.7543623776680293,
        0.7679840911368546,
        0.7566284943986445,
        0.7511642976738195,
        0.7372634531808644,
        0.735428495804005,
        0.7357434903300272,
        0.7139242963885664,
        0.7344886953830082,
        0.7669974081721367,
        0.7543756283485067,
        0.781084853115716,
        0.7830714492282645,
        0.7942505011916101,
        0.7972423469205282,
        0.8074098214278587,
        0.8058820495502872,
        0.8106363085161413,
        0.8082137047434688,
        0.8156808251283065,
        0.8333893135075432,
        0.8314556652956956,
        0.8460381553592223,
        0.7946575365249534,
        0.7969000495887734,
        0.7747955678556997,
        0.7787876590968146,
        0.609269487670799,
        0.5482152281238593,
        0.4926664985031685,
        0.560338788546807,
        0.5610214945884043,
        0.5771996150934129,
        0.5748242602322954,
        0.5747155959640579,
        0.571194603136041,
        0.5730182989221666,
        0.5737525521901807,
        0.5745082127467845,
        0.5749051950505896,
        0.5749458161143933,
        0.5744046027623612,
        0.5741741775976291,
        0.5739034684144148,
        0.5740072565472859,
        0.5743643623177104,
        0.5745944355717021,
        0.5741741775976291,
        0.5739435027849006,
        0.5732102529915133,
        0.5729786796716853,
        0.573481402590847,
        0.5727863697628347,
        0.5730182989221666,
        0.5730182989221666,
        0.5715839452090473,
        0.5713506031963459,
        0.5718561280400993,
        0.5723611028025655,
        0.5721283108711512,
        0.5727863697628347,
        0.5732897429292354,
        0.5718561280400993,
        0.5720498679230384,
        0.5720498679230384,
        0.5725936415617485,
        0.5723217547423934,
        0.5725936415617485,
        0.5715839452090473,
        0.5722824494518401,
        0.5725147783120226,
        0.5720498679230384,
        0.5718561280400993,
        0.5718561280400993,
        0.5718561280400993,
        0.5720498679230384,
        0.5715839452090473,
        0.5718561280400993,
        0.5720890680578874,
        0.5720498679230384,
        0.5720498679230384,
        0.5722114836929925,
        0.5711557838430963,
        0.5720498679230384,
        0.5727863697628347,
        0.5723217547423934,
        0.5716229342750858,
        0.5718170333132094,
        0.5718170333132094,
        0.5716229342750858,
        0.5713894863480016,
        0.5718170333132094,
        0.5713506031963459,
        0.5720890680578874,
        0.5723217547423934,
        0.5713894863480016,
        0.5755529980123394,
        0.5490250681761267,
        0.5442215338199143,
        0.5380950741043583,
        0.637911908455551,
        0.5981413511848173,
        0.5712711653875417,
        0.570218419698453,
        0.571428411290998,
        0.5806449987478188,
        0.5800651977160233,
        0.6022725642898769,
        0.5638115208896775,
        0.8540206732457449,
        0.8510061569265619,
        0.8544231780531782,
        0.8541467530223318,
        0.8477790586942134,
        0.8488869816007648,
        0.8399889469381512,
        0.83940127629888,
        0.8306651616542714,
        0.830537211230121,
        0.8161377478637859,
        0.7544078328167219,
        0.7389549081653711,
        0.7400675599429266,
        0.7547627328130596,
        0.7692492458503052,
        0.8093209136999935,
        0.8651177327785963,
        0.8665436623623147,
        0.8621339439865976,
        0.8634911580102757,
        0.8633066509775682,
        0.862874418642124,
        0.8615292457852456,
        0.8606288282852711,
        0.8585005760172216,
        0.8566772863090278,
        0.8562124588275751,
        0.8534621390552807,
        0.8534057564339251,
        0.8516091456498185,
        0.8510635920651614,
        0.8488021586354353,
        0.8488054101040337,
        0.8482658561594602,
        0.8461326616449222,
        0.8447710062512226,
        0.8437667762609747,
        0.843732734609722,
        0.8430008542394132,
        0.8425065769136962,
        0.8403267410096504,
        0.8420978576816877,
        0.8412934330009619,
        0.840141377912644,
        0.8407233784274375,
        0.8399562166262478,
        0.8423555868955057,
        0.8410079397296647,
        0.8394511797333236,
        0.83886748530204,
        0.840277543452014,
        0.8401793089380815,
        0.8392271873317084,
        0.8390427245297036,
        0.8391790635610868,
        0.8394992220763864,
        0.8393632047040475,
        0.839363756293804,
        0.839003576717566,
        0.8396352394487254,
        0.8398095489225602,
        0.8396091835166565,
        0.8370982969002024,
        0.8363287428102852,
        0.8361502573015639,
        0.8370569871535818,
        0.8362395486895646,
        0.8372545347823859,
        0.8374657063855904,
        0.8371932268975846,
        0.8360139432720071,
        0.8356517032985967,
        0.8353789265062682,
        0.8356945897135531,
        0.8345277871173955,
        0.8344684320175274,
        0.8345605961292825,
        0.8331516458499495,
        0.8327433716033716,
        0.8320182665977407,
        0.8304782897200194,
        0.8287463627694072,
        0.8281775046124755,
        0.8254894327254682,
        0.824945363236112,
        0.8242248928748531,
        0.8203378298729722,
        0.8180710865195049,
        0.8168744339448126,
        0.8130813266022774,
        0.8094057126426155,
        0.806949579063329,
        0.7963649640876579,
        0.7835049113677898,
        0.776958882727137,
        0.7753972370207293,
        0.7524997431467543,
        0.7344739759698831,
        0.716699342049264,
        0.7126200112054435,
        0.71659377857951,
        0.759818496056151,
        0.7336881653473097,
        0.7598585114493479,
        0.7582496239105436,
        0.7466623893864421,
        0.7535147124783053,
        0.7498532333383028,
        0.7560296096095681,
        0.7521304630165926,
        0.7536555760001941,
        0.7522331741242964,
        0.7539414303427565,
        0.7515241769510096,
        0.7511659805145144,
        0.748817836603316,
        0.7483450727232889,
        0.7462746235692013,
        0.7447482690375269,
        0.7434972990201344,
        0.7428055449272611,
        0.7412691909479902,
        0.7408635773410013,
        0.7417307719039938,
        0.7404799232198009,
        0.7406385577054286,
        0.7407762228648535,
        0.7411989111695035,
        0.7414692462122983,
        0.7420371334854408,
        0.7423201425847981,
        0.7440373050673055,
        0.7456401189276616,
        0.7472838769096442,
        0.7483755369960612,
        0.7585885896419884,
        0.7459517688848097,
        0.736110890708318,
        0.7073692252656686,
        0.6797156970033235,
        0.6175420158668636,
        0.6312662065010574,
        0.6421140998592555,
        0.6594014208431389,
        0.6679386412344492,
        0.6848188808853936,
        0.6942145822827552,
        0.7077865882075958,
        0.7268018618692076,
        0.7296666354846496,
        0.7288295818623972,
        0.7476222510734509,
        0.7465325677192155,
        0.7547616216571792,
        0.7561636061234471,
        0.7699711881417629,
        0.7676256165292693,
        0.7788390666910104,
        0.7811840224483395,
        0.7916663840075393,
        0.7883132235014902,
        0.7982090849290279,
        0.7829611894008593,
        0.7782953405544512,
        0.7266664186311957,
        0.6823792842180766,
        0.48742335176019297,
        0.5351629680466079,
        0.49901687057887434,
        0.5682318834614782,
        0.5792617316309953,
        0.5784788046487874,
        0.5738418017400532,
        0.5743057735195667,
        0.5745373807599896,
        0.5749998400000444,
        0.574768736116589,
        0.5745373807599896,
        0.5743057735195667,
        0.5748503835198933,
        0.5754612949857855,
        0.5749998400000444,
        0.574768736116589,
        0.5752715790548649,
        0.5752715790548649,
        0.5753529089730095,
        0.575230692820144,
        0.5756916469049792,
        0.5756916469049792,
        0.575230692820144,
        0.5751037548137011,
        0.5754612949857855,
        0.575230692820144,
        0.5757327389928543,
        0.5745373807599896,
        0.5749998400000444,
        0.575230692820144,
        0.5749998400000444,
        0.574768736116589,
        0.5749998400000444,
        0.5745373807599896,
        0.5754612949857855,
        0.575230692820144,
        0.5749998400000444,
        0.574768736116589,
        0.5754612949857855,
        0.5745373807599896,
        0.5756916469049792,
        0.5744968492972339,
        0.574768736116589,
        0.5754612949857855,
        0.5745373807599896,
        0.5745373807599896,
        0.5745373807599896,
        0.5761928985841843,
        0.5743057735195667,
        0.574768736116589,
        0.5745373807599896,
        0.5756916469049792,
        0.5756916469049792,
        0.5738820644342328,
        0.5748094155046677,
        0.5749998400000444,
        0.574768736116589,
        0.5740739139837451,
        0.5738418017400532,
        0.57442825579354,
        0.5768396670227762,
        0.568632695071698,
        0.513538877246911,
        0.564322304783865,
        0.5102760043279934,
        0.7210943036502546,
        0.6971021853663619,
        0.7484361478809536,
        0.7537047382520635,
        0.7247127897755032,
        0.7205560918173995,
        0.6863328219548881,
        0.6907420338127181,
        0.6684499319215017,
        0.6546105543744768,
        0.678522568139173,
        0.7019885895474469,
        0.6833023106279833,
        0.6986415632685453,
        0.6903551305911861,
        0.6885426292915315,
        0.6861351794207359,
        0.6813964272367863,
        0.6741880323696904,
        0.669961371213497,
        0.6698471412422375,
        0.6693809214315788,
        0.6692762728566676,
        0.6671179081449788,
        0.6659434159636503,
        0.6644913865037575,
        0.6647663733114098,
        0.6636757260456924,
        0.6639520412902035,
        0.6632263228832822,
        0.6628662652619284,
        0.6623233772477909,
        0.661679470645475,
        0.661053591276785,
        0.6608788180304097,
        0.6609754263309385,
        0.6605204239769755,
        0.6606075213070803,
        0.661062723175643,
        0.6608788180304097,
        0.6603259032136617,
        0.6601411973940766,
        0.6594872749959189,
        0.6603155481319757,
        0.6605877309630276,
        0.6609429707459784,
        0.662222520808096,
        0.6624058513654119,
        0.6629547314324701,
        0.663863081987033,
        0.665403172340864,
        0.666216031836428,
        0.6663059269071744,
        0.6664863020318991,
        0.666215299890507,
        0.6664860090737214,
        0.6667567182569357,
        0.6696187102282449,
        0.6695185332655139,
        0.6656704940519024,
        0.6628970214600037,
        0.6614108291596235,
        0.6521619816719272,
        0.6476780066894495,
        0.6438943896320992,
        0.6357488774994996,
        0.6289272361805281,
        0.6196719577748402,
        0.6171364880835781,
        0.6128063685248716,
        0.6090758273117421,
        0.606499011181052,
        0.6020239014024958,
        0.5986912178135749,
        0.5956520081663977,
        0.5913277491816761,
        0.5906636252456685,
        0.5852732541094173,
        0.5827004889681939,
        0.5759976517710237,
        0.5710742190688705,
        0.5696200926552077,
        0.5700547846878847,
        0.5700547846878847,
        0.5714675287013282,
        0.5724437982005333,
        0.5712717694675734,
        0.5709976467375026,
        0.5705267331999521,
        0.5715066889800412,
        0.571936382477337,
        0.5709976467375026,
        0.570290888528866,
        0.5715066889800412,
        0.5722494291233127,
        0.5717806615059186,
        0.57201517367373,
        0.571310865325747,
        0.5722099053766567,
        0.5722494291233127,
        0.5718862237772889,
        0.5715066889800412,
        0.5722099053766567,
        0.5722099053766567,
        0.5724437982005333,
        0.5717413511875291,
        0.5722099053766567,
        0.5722099053766567,
        0.5719757565125411,
        0.5722099053766567,
        0.5722099053766567,
        0.571232716454164,
        0.5717859448827112,
        0.571232716454164,
        0.5701784110267326,
        0.571936382477337,
        0.5719757565125411,
        0.5700547846878847,
        0.5667218769869319,
        0.568946336844719,
        0.575177531716295,
        0.5870739315403716,
        0.558736548953298,
        0.47000713925116655,
        0.47627854421451843,
        0.501118376903349,
        0.5097230658352956,
        0.5569713004727842,
        0.5727134233663622,
        0.6121073890889512,
        0.616504618633036,
        0.6614347244734088,
        0.6568551890388549,
        0.6985839361587367,
        0.6972711231542661,
        0.7197356063795814,
        0.6939561803896245,
        0.5341670629776702,
        0.5758161069076664,
        0.5635639679087675,
        0.5676793974299162,
        0.5744563618904036,
        0.5744968492972339,
        0.5740335906885147,
        0.5744968492972339,
        0.5744968492972339,
        0.5744968492972339,
        0.5740335906885147,
        0.5739060176754704,
        0.5742653460153117,
        0.5737614078574628,
        0.5744563618904036,
        0.5739933112706336,
        0.5742653460153117,
        0.5744968492972339,
        0.5732968427640417,
        0.5740335906885147,
        0.5735292518262652,
        0.5736337533281696,
        0.5744563618904036,
        0.5751490534583205,
        0.574918406971648,
        0.5751898509787168,
        0.5757315475476681,
        0.5747281009452241,
        0.5736094363751192,
        0.5733768174746696,
        0.5738418017400532,
        0.5738015829050052,
        0.5738015829050052,
        0.575022228873846,
        0.5792157376162955,
        0.5028569793887152,
        0.45107897053781804,
        0.6391768296073647,
        0.6930122019737593,
        0.6766237053790793,
        0.6400137376487195,
        0.6018971832948996,
        0.6578569022694757,
        0.6597119872140018,
        0.6278427575528306,
        0.6266763629967974,
        0.5917908186590305,
        0.601416623471058,
        0.5652660994626835,
        0.5704117662540642,
        0.5444359381992528,
        0.5449436112276187,
        0.5280233994483919,
        0.5130595054578606,
        0.5044050967287742,
        0.5032796955690931,
        0.48904291425129864,
        0.48350421733566035,
        0.47620772780500975,
        0.47558291290200333,
        0.46856707609185455,
        0.47022495224751226,
        0.4673674841971342,
        0.4678698631412491,
        0.4661381565830431,
        0.4800418446908792,
        0.48040570611076167,
        0.48008368567236404,
        0.4832750888941843,
        0.5457053500606508,
        0.5778286640733624,
        0.5772567734054005,
        0.5752210651839614,
        0.5798588978932732,
        0.6000569998689629,
        0.6142614741707609,
        0.6268033735164665,
        0.6353589362962566,
        0.6485011814536212,
        0.65367829172573,
        0.6605003600782458,
        0.6655824711229131,
        0.6758955776012292,
        0.680973018776279,
        0.6865099118006145,
        0.6899943393782931,
        0.694808548774876,
        0.6968782273813513,
        0.7025175918505708,
        0.706764668923344,
        0.7098015619942732,
        0.7112945651885303,
        0.7145602385412955,
        0.7170796875235261,
        0.7297041002104843,
        0.71244178377599,
        0.6833109821796796,
        0.6101309988621235,
        0.6458164695951932,
        0.6646925682290192,
        0.6686520161207503,
        0.6810719557192988,
        0.6924061962494699,
        0.7092121215776327,
        0.7261481471463948,
        0.7255703484365061,
        0.7531799394854212,
        0.7570931573483068,
        0.7275595927456705,
        0.7244183582045186,
        0.7619810694714743,
        0.7295943928844335,
        0.7413395652169693,
        0.5026366134805892,
        0.5729108174056042,
        0.5756916469049792,
        0.5761516016316423,
        0.5775255020566953,
        0.5777536199730813,
        0.5772971375264138,
        0.5779814916748388,
        0.5779814916748388,
        0.5770685259821063,
        0.5749998400000444,
        0.574768736116589,
        0.574768736116589,
        0.574768736116589,
        0.574768736116589,
        0.575230692820144,
        0.5743057735195667,
        0.574768736116589,
        0.5754612949857855,
        0.5745373807599896,
        0.574832082200534,
        0.5754612949857855,
        0.575230692820144,
        0.5761516016316423,
        0.5761516016316423,
        0.5777536199730813,
        0.5770685259821063,
        0.5772971375264138,
        0.5745373807599896,
        0.5749998400000444,
        0.5755022842709562,
        0.5738820644342328,
        0.5745779563506186,
        0.5748910851852986,
        0.574346245062485,
        0.574768736116589,
        0.5745779563506186,
        0.574346245062485,
        0.5738418017400532,
        0.5665186862208607,
        0.5404189959913018,
        0.725390410069508,
        0.6383719029962707,
        0.756369202512431,
        0.7349968976812397,
        0.7555929829294207,
        0.8134500488383479,
        0.7778930018841185,
        0.7548566701042154,
        0.7559759939152753,
        0.7452062082997207,
        0.7434017218844233,
        0.7314949115282052,
        0.7367057775529112,
        0.7363135934360877,
        0.7475607088842627,
        0.7433124961755843,
        0.7498320698095106,
        0.7490116050764546,
        0.7452142696041544,
        0.7375825313627443,
        0.7373102323646413,
        0.7594281739379934,
        0.7610914245891364,
        0.7630594772178804,
        0.766251898066155,
        0.7616258586014786,
        0.7602009257339805,
        0.7597085157220103,
        0.7606531878099817,
        0.7619379830830071,
        0.7608570842871815,
        0.7615101685046568,
        0.7604105856329657,
        0.7606145810722197,
        0.7593060413058697,
        0.7588730205391625,
        0.7574941245265884,
        0.7567871111566736,
        0.7581550122748221,
        0.7575237117949659,
        0.7571828801816143,
        0.7568973043178943,
        0.7577028638969936,
        0.7571586818274872,
        0.7557776849164742,
        0.756330676847886,
        0.7559186093402885,
        0.7566120498675467,
        0.7573072581555277,
        0.7573031529554975,
        0.7563485399263812,
        0.7573829460697813,
        0.7583427049473936,
        0.7589683920449457,
        0.7584220166692461,
        0.7582769987442068,
        0.7585575822775072,
        0.7584125696538218,
        0.7584125696538218,
        0.7577331901240757,
        0.7586088775769867,
        0.7582090515713289,
        0.7586978740441573,
        0.7592331344558675,
        0.7574603672186329,
        0.7577201639793801,
        0.7577245011489075,
        0.7567413553642842,
        0.7568818047620876,
        0.7564677236718366,
        0.7570222541598909,
        0.7569986631672365,
        0.7565861057331356,
        0.7563672911765228,
        0.7554742353718088,
        0.7561519087529209,
        0.7560188202230481,
        0.7558788426595927,
        0.7561587977865036,
        0.755327881812745,
        0.7555988875326817,
        0.7554650298216955,
        0.755742080145689,
        0.7554650298216955,
        0.755190579877903,
        0.756148470012288,
        0.7553219121989809,
        0.7551035388204583,
        0.7546320121439696,
        0.7537855378922067,
        0.7525910756591961,
        0.7519716140791738,
        0.7518307690493782,
        0.7519705039364313,
        0.7515508263993101,
        0.7510526373437251,
        0.751688022023485,
        0.7505628466845847,
        0.750282268844903,
        0.7494357677884302,
        0.7497180936024428,
        0.7491537599736463,
        0.749437670763301,
        0.7490110827719354,
        0.7478775422109215,
        0.747648930229402,
        0.7394824453581512,
        0.7411729046238456,
        0.7463023992566391,
        0.7491499243259143,
        0.7466233076695928,
        0.7449179099954998,
        0.7437780651502436,
        0.7474645731257118,
        0.7412673918147016,
        0.7477411728721172,
        0.7485945006855624,
        0.7487336053170478,
        0.7442283890512752,
        0.7441042217959789,
        0.7460561228277549,
        0.740855160766549,
        0.7419032752647851,
        0.7449350695516288,
        0.7456409551360129,
        0.7449407636820287,
        0.7470503469158553,
        0.7478187983487753,
        0.7458051555636244,
        0.7483191130871787,
        0.7474674267285748,
        0.7484591690694148,
        0.7480988310737364,
        0.7473959109114506,
        0.7466233076695928,
        0.7461840689393763,
        0.7456187779780585,
        0.7476054181555075,
        0.7504192482020945,
        0.7518194933193837,
        0.7530827435098852,
        0.7561283042468376,
        0.7566046164240788,
        0.7615382393689011,
        0.7343548046043039,
        0.7348076978190798,
        0.7346734501299891,
        0.7379822111277551,
        0.7335950952831929,
        0.7363978119588982,
        0.7364674690691574,
        0.7343307211427259,
        0.7314812147304972,
        0.7302103312507701,
        0.7281568481524917,
        0.7326084238438311,
        0.7354208952228233,
        0.7293459961026221,
        0.7285350844083959,
        0.7348372734753184,
        0.7315348482651395,
        0.7410004468018511,
        0.7594640079674485,
        0.76601424065206,
        0.7613472412696541,
        0.8027759334752586,
        0.7808361012105391,
        0.7888265900116123,
        0.8130208922441144,
        0.7614800833086551,
        0.7432385352650857,
        0.5037035300362239,
        0.5511279420216979,
        0.571824574168507,
        0.5804346210964533,
        0.5815716543280829,
        0.5815716543280829,
        0.5817983218414189,
        0.5816158905708589,
        0.5813447409715252,
        0.580390930385575,
        0.5794772473095533,
        0.5802064725036901,
        0.5817983218414189,
        0.5815274660118838,
        0.5817540347276309,
        0.5820247439108452,
        0.5827025414358371,
        0.5827025414358371,
        0.5827025414358371,
        0.5822954530940595,
        0.5827025414358371,
        0.5827025414358371,
        0.5824768533108984,
        0.5810735913721915,
        0.5813447409715252,
        0.5817540347276309,
        0.5817983218414189,
        0.5819803582392081,
        0.5817983218414189,
        0.5833781442581706,
        0.5822509209348098,
        0.5822064369444587,
        0.5840515630202584,
        0.49442971615464304,
        0.7347043768153017,
        0.7797113929590483,
        0.7887252262566563,
        0.7673672194442314,
        0.7966871201479182,
        0.7914789621837859,
        0.7716454758212269,
        0.7501731039607287,
        0.7575212121412173,
        0.7514334159613555,
        0.7542946412320284,
        0.7408599431395764,
        0.7437228258349449,
        0.731573086771495,
        0.7394679705748612,
        0.727288112614237,
        0.7347600163033368,
        0.7288393357230444,
        0.7292090161179167,
        0.7271951175466983,
        0.7282458376193957,
        0.7265781588540275,
        0.7286582838258527,
        0.7241376803526083,
        0.7243932810718599,
        0.7248150630588903,
        0.7248993499675588,
        0.7217954809350559,
        0.7218518523729857,
        0.7198759943389378,
        0.7217819342888776,
        0.709933534115252,
        0.7119454900621502,
        0.7457879807049907,
        0.7204907659898934,
        0.707398871115809,
        0.7253307031472201,
        0.7123113287038942,
        0.737829107807272,
        0.7362225161045187,
        0.7344736192924134,
        0.7335353116290702,
        0.733082489682918,
        0.7311592032733263,
        0.73166837493406,
        0.7318546228631527,
        0.731379691416627,
        0.7305585402960987,
        0.7311237035531203,
        0.7286583199343438,
        0.7302591504941296,
        0.7316195436018343,
        0.7329119039340064,
        0.7363738513921905,
        0.735640220190814,
        0.7364629164349001,
        0.7374853983932543,
        0.7363267835352255,
        0.7372563702890826,
        0.7410211114462351,
        0.7428085841410067,
        0.7414130745475821,
        0.7412526074936032,
        0.7423315920752476,
        0.7428166871424542,
        0.7449492809124401,
        0.743436051528901,
        0.7437886048448528,
        0.7456434054134774,
        0.7460627772867593,
        0.7454902019780251,
        0.7454825625708232,
        0.74505068921609,
        0.7463378128873464,
        0.7453361324973997,
        0.7458921349026781,
        0.7444410597754717,
        0.7455988746470051,
        0.7465964933310241,
        0.7459767919884381,
        0.7449536439352562,
        0.746249058234554,
        0.7201772035547725,
        0.7132841353795211,
        0.7113330905316384,
        0.7195853152221381,
        0.7149895539941185,
        0.7150032113086319,
        0.7052499217139112,
        0.7035968631355439,
        0.6952378344602408,
        0.696014234522255,
        0.7184155295262359,
        0.7202264030787418,
        0.7206631891847908,
        0.7506526500386403,
        0.6756270334999754,
        0.6809903634346476,
        0.6779608501327299,
        0.6725371302044764,
        0.6910306617311014,
        0.5149110002319592,
        0.5181135132578896,
        0.5586905834934657,
        0.5740739139837451,
        0.5749998400000444,
        0.575230692820144,
        0.5749998400000444,
        0.5754612949857855,
        0.5754612949857855,
        0.575230692820144,
        0.5754612949857855,
        0.575230692820144,
        0.574768736116589,
        0.5749998400000444,
        0.575230692820144,
        0.574768736116589,
        0.5754612949857855,
        0.5719383345236533,
        0.5719383345236533,
        0.5761516016316423,
        0.5756916469049792,
        0.5754612949857855,
        0.5746191983659437,
        0.574768736116589,
        0.5749998400000444,
        0.5749998400000444,
        0.574768736116589,
        0.5768396670227762,
        0.5775255020566953,
        0.5776470579387932,
        0.5759217489848506,
        0.5736094363751192,
        0.574768736116589,
        0.5760252135189836,
        0.5743057735195667,
        0.5740739139837451,
        0.5745373807599896,
        0.5749998400000444,
        0.5743057735195667,
        0.5747281009452241,
        0.5744968492972339,
        0.574768736116589,
        0.5744968492972339,
        0.5745373807599896,
        0.5745373807599896,
        0.5747281009452241,
        0.5747281009452241,
        0.5744968492972339,
        0.5652776169877001,
        0.565401874583375,
        0.6899315470206191,
        0.8197742719534263,
        0.8371697798459623,
        0.867888032177991,
        0.8516359201122623,
        0.8335153489557907,
        0.8214860416796697,
        0.8159782059959058,
        0.7807329980335765,
        0.752598080675414,
        0.7486937437826889,
        0.7357193051273856,
        0.7353809204181856,
        0.727509016740062,
        0.7292282096699975,
        0.7200963085517756,
        0.7299072733196842,
        0.7291374316283971,
        0.7346488690012004,
        0.7326113024297987,
        0.7300911398128828,
        0.7332723944642112,
        0.7548458457918625,
        0.7547590221519488,
        0.7509100542121152,
        0.7467639941794232,
        0.7479024703992926,
        0.7459517688848097,
        0.7455404784187709,
        0.7450402447206443,
        0.7439908435308485,
        0.7446984479433005,
        0.745125135652329,
        0.7438579671383142,
        0.7432921293652486,
        0.7428529258179943,
        0.7427209516947776,
        0.7430695233703898,
        0.7431523865321286,
        0.7432076773797812,
        0.7444944982287399,
        0.7452696819265012,
        0.7456942323358627,
        0.7452749407555477,
        0.744855182777612,
        0.7444349576234288,
        0.7447249409776958,
        0.7435966699768959,
        0.7433182736197349,
        0.7424705074484663,
        0.7420299888594215,
        0.7420929083044915,
        0.7427372177198572,
        0.7427331580327686,
        0.743020446439716,
        0.7425684911973822,
        0.7432808619485994,
        0.7445406600196988,
        0.7468370039100414,
        0.746521362340141,
        0.7497177756032143,
        0.7168314409124107,
        0.7163807733770889,
        0.7239200195036213,
        0.7167794122094514,
        0.7197743384395756,
        0.7187926145255016,
        0.7224515358848579,
        0.7209340006102364,
        0.7261243101898638,
        0.7246701103184618,
        0.7257217316843934,
        0.7173677836716795,
        0.7177013793982111,
        0.7179256111347734,
        0.718304581359013,
        0.7194599656509215,
        0.7155292350028654,
        0.7160139739507796,
        0.7149463586814693,
        0.7147069814568769,
        0.7145135799638375,
        0.7132193566678673,
        0.7132193566678673,
        0.7131931969026196,
        0.7123309419236373,
        0.7125086248724833,
        0.7125086248724833,
        0.7125086248724833,
        0.7123309419236373,
        0.712712809013524,
        0.7133970396167133,
        0.7132193566678673,
        0.714187728739078,
        0.7133710062262054,
        0.7133710062262054,
        0.7127846403520399,
        0.7158117047752187,
        0.715787336790366,
        0.7171894670463572,
        0.7171894670463572,
        0.7180810501729687,
        0.7181913025632973,
        0.7181913025632973,
        0.7186066753028485,
        0.718526203229316,
        0.7189060985847587,
        0.7185943197106927,
        0.7183925944164226,
        0.7189283085062186,
        0.7184151550117349,
        0.719372957037782,
        0.7203687943017582,
        0.7248413996349073,
        0.722162858335189,
        0.721296690783908,
        0.7184170561891179,
        0.726088242857116,
        0.720980267381473,
        0.7345875440080125,
        0.7347885639142844,
        0.7600917923746475,
        0.7648302319257918,
        0.783486604432926,
        0.7910393946565184,
        0.7914417754594413,
        0.8129684898500832,
        0.7791687752461246,
        0.7809600000983311,
        0.7829732573661061,
        0.7873434980500806,
        0.7970567339273396,
        0.4956780227479071,
        0.5797610977549202,
        0.5799889929748566,
        0.5804004888115591,
        0.5802166411539728,
        0.5802166411539728,
        0.5796356499370653,
        0.5803190023445065,
        0.5804440426937433,
        0.5806711979947735,
        0.5804440426937433,
        0.5804440426937433,
        0.5794898010315908,
        0.5806711979947735,
        0.5808981074568014,
        0.5806711979947735,
        0.5802166411539728,
        0.5824796235959205,
        0.5816214606539525,
        0.5820289811123376,
        0.5820289811123376,
        0.581577364793295,
        0.579532955091817,
        0.5797610977549202,
        0.5797610977549202,
        0.579075925822351,
        0.5689970267324562,
        0.6093504467614096,
        0.7807127686605384,
        0.8254188308587043,
        0.8180101978995236,
        0.8098774810505184,
        0.8193396528651405,
        0.7990548031595002,
        0.8157840537693511,
        0.7868988470601153,
        0.7645407207814653,
        0.7678308638068396,
        0.7705577132705218,
        0.7711089344440775,
        0.7614135568160963,
        0.7618252845125308,
        0.7505524065712363,
        0.7546996482962979,
        0.7415343085982954,
        0.7546774869058397,
        0.7446585932011028,
        0.7482885810241249,
        0.7385287596985661,
        0.7414138857886131,
        0.7328039846589681,
        0.7329918260952345,
        0.7499185780753416,
        0.761817450731269,
        0.7539838440297506,
        0.756214470518752,
        0.7541074299699693,
        0.7534679646085854,
        0.7537749519391637,
        0.7537728418492481,
        0.7521018020873752,
        0.7515395381924728,
        0.7514019154695565,
        0.7514042782477581,
        0.7516785759040677,
        0.75181745809254,
        0.7518184751365085,
        0.750840591687005,
        0.7505612665427465,
        0.7499224935580007,
        0.7515438603085589,
        0.7505628466845847,
        0.751047633105635,
        0.7514090277782287,
        0.7539390061807703,
        0.7540796926906006,
        0.7552022572195974,
        0.7549210424524332,
        0.7549871206790063,
        0.7553458712790736,
        0.7552051847692433,
        0.7543733711968589,
        0.7542322877161787,
        0.754095827063806,
        0.7537420000475925,
        0.7533972900682828,
        0.753884691902424,
        0.754375840632168,
        0.7545195557547951,
        0.7550702047346789,
        0.7549377051195796,
        0.7544443831116313,
        0.7542490729883709,
        0.7546607986517916,
        0.7558509954852005,
        0.7550181842755886,
        0.75557985410796,
        0.7560697983581385,
        0.7567603450922272,
        0.7603349780494364,
        0.7583284086594324,
        0.759431087371218,
        0.7620066379946262,
        0.7288497203099426,
        0.7332078320625183,
        0.7307299701597398,
        0.7336991244653729,
        0.7257892129094196,
        0.732371527796138,
        0.7181315987667556,
        0.7254899263247332,
        0.7250535741368055,
        0.7377518680357635,
        0.729913648697426,
        0.7368325428250643,
        0.7428964793049221,
        0.7587807241764939,
        0.732920043365665,
        0.730320136836713,
        0.7242403136794409,
        0.7261938064053247,
        0.7318306256483016,
        0.4822265279007496,
        0.5744095035158342,
        0.5759217489848506,
        0.5766105602465582,
        0.5771484889189046,
        0.5763812052507166,
        0.5743057735195667,
        0.574768736116589,
        0.574768736116589,
        0.5754612949857855,
        0.5749998400000444,
        0.574768736116589,
        0.574768736116589,
        0.5749998400000444,
        0.575230692820144,
        0.5749998400000444,
        0.575230692820144,
        0.575230692820144,
        0.575230692820144,
        0.5749998400000444,
        0.5749998400000444,
        0.575230692820144,
        0.5749591013693319,
        0.5745373807599896,
        0.5756916469049792,
        0.5761516016316423,
        0.5745373807599896,
        0.575230692820144,
        0.5749998400000444,
        0.5672755866859909,
        0.652676542646202,
        0.7355982958820585,
        0.8300863081701533,
        0.8324754567024392,
        0.8131865844222356,
        0.8402775387655,
        0.8036083196062043,
        0.7910272967745583,
        0.7796508533478783,
        0.7849104717811004,
        0.7727447877291519,
        0.7504303322822307,
        0.7279672907200964,
        0.7195509446794105,
        0.7591483280926482,
        0.7580760733223572,
        0.760321631011424,
        0.7619614558275698,
        0.7633866192409979,
        0.7631401259296443,
        0.7566575316853154,
        0.7713786936714693,
        0.7838494541991275,
        0.784463049918033,
        0.7835020263777942,
        0.785478943241545,
        0.7852384006425853,
        0.7828761047383516,
        0.7825235060569318,
        0.7836669998678331,
        0.7828945124065003,
        0.7850801985795554,
        0.7851191549244823,
        0.7856150763664528,
        0.7856745562691522,
        0.7856351368811104,
        0.7856548356797811,
        0.7852792462296767,
        0.7839263618630159,
        0.7835278791506544,
        0.7846177236535706,
        0.7838061205850118,
        0.78336102675553,
        0.7846023336762674,
        0.7837421074869163,
        0.7842807126244565,
        0.7844200659849087,
        0.7841794634487247,
        0.7842718860916493,
        0.7839347836627959,
        0.7848996652566025,
        0.785060752798722,
        0.7848187176450231,
        0.7858866381327116,
        0.7865681853598938,
        0.7853942909222849,
        0.7870677798334987,
        0.7870471292656656,
        0.7876595868361821,
        0.7892046360724607,
        0.7899406466173756,
        0.7880130946377888,
        0.786576439436409,
        0.7881069773809198,
        0.7872248149694837,
        0.7891376040621365,
        0.7845939446768333,
        0.752326871548299,
        0.7606239113947924,
        0.7657398579646301,
        0.7652887151694743,
        0.7670720806349525,
        0.7659535694716717,
        0.7700814198218604,
        0.7687967234286245,
        0.7713745588619876,
        0.7698763576581938,
        0.771462640804346,
        0.7700890149137529,
        0.7711337492642751,
        0.7724928602222909,
        0.772664563458615,
        0.7724928602222909,
        0.7717265325608352,
        0.7733674254542118,
        0.7720937112993355,
        0.7718360418293992,
        0.7733674254542118,
        0.772867678329951,
        0.7725237994964337,
        0.7721799206629165,
        0.7731796731675874,
        0.7719626662698111,
        0.7733353493838717,
        0.7731637639946142,
        0.7724928602222909,
        0.7707758278590495,
        0.7718210342457941,
        0.769931000546617,
        0.769931000546617,
        0.7701166476618132,
        0.7701304925624142,
        0.7704887090287748,
        0.7710197141543117,
        0.7710632632704483,
        0.7702981301924756,
        0.7645904687043985,
        0.7718702736859316,
        0.7728882926055317,
        0.777403904875231,
        0.7795886611272895,
        0.774433146947754,
        0.7681621130348989,
        0.7677680219635911,
        0.7686431864024776,
        0.7750708415104759,
        0.7715849999635386,
        0.7907983299383715,
        0.7819372602186818,
        0.810447970360252,
        0.816000242294764,
        0.7861642982640207,
        0.7891757268417304,
        0.7804727716179144,
        0.5743078856524444,
        0.5772649830129676,
        0.581660174818226,
        0.5814392328480047,
        0.5812126163612021,
        0.58139518784514,
        0.579619403931992,
        0.5793908120456249,
        0.5795131611143346,
        0.5788899366748381,
        0.579619403931992,
        0.5798043990988858,
        0.5793476648771715,
        0.5793476648771715,
        0.5791189252262698,
        0.5800323944782496,
        0.5791189252262698,
        0.5798043990988858,
        0.5798477474839507,
        0.579619403931992,
        0.5799070276466665,
        0.5793476648771715,
        0.5793908120456249,
        0.5787035423223237,
        0.5795761560331385,
        0.5802601425741903,
        0.5793908120456249,
        0.5788899366748381,
        0.5784312112435838,
        0.579619403931992,
        0.5800323944782496,
        0.5804155923562454,
        0.5539403852600275,
        0.5408969149477437,
        0.7874682599598557,
        0.8102544645001398,
        0.8286951380658822,
        0.7956413590032001,
        0.8082480647261853,
        0.7956557876029767,
        0.7644228173842954,
        0.7518820089229373,
        0.743089737447239,
        0.7459303737322354,
        0.7528206026486963,
        0.7540547347841859,
        0.7621075100961492,
        0.7587598460343388,
        0.7607164169545844,
        0.760941386205577,
        0.7614311531790918,
        0.7543043799974553,
        0.7878101561180587,
        0.7846826717114791,
        0.7861747602235124,
        0.7819748724554981,
        0.7817810480859921,
        0.7826894028237734,
        0.7815321266919637,
        0.7791033115034256,
        0.7792714851613443,
        0.7772316687576561,
        0.7767504774810955,
        0.7752098616764991,
        0.7751534953166073,
        0.7750277422739351,
        0.7738627758462991,
        0.7735209036379139,
        0.7749157912895379,
        0.7743111880565889,
        0.7754899736409712,
        0.7780880948121272,
        0.7785712052501641,
        0.7802688343623077,
        0.7810951382925374,
        0.7815300447626777,
        0.7819504482294677,
        0.7825349855448379,
        0.7828351742888335,
        0.7840326213224581,
        0.7843272923041228,
        0.7853930325161614,
        0.785593944941648,
        0.7840778272353803,
        0.7865263613392396,
        0.7505713159095335,
        0.7544729050429905,
        0.7545636333086002,
        0.7524002844794611,
        0.7564955145184666,
        0.7476395186699829,
        0.748898396889883,
        0.7549123824489521,
        0.7516325218898031,
        0.7525177084251318,
        0.7605204069996802,
        0.7618960297650801,
        0.7680612351592615,
        0.7705670960777636,
        0.7969537162638323,
        0.7596816120629423,
        0.7181102539751364,
        0.7777228358306483,
        0.8194063815808408,
        0.7279335206557209,
        0.640425332584942,
        0.4727461620922187,
        0.6623885426810856,
        0.48114461525518987,
        0.5737542372237199,
        0.5749998400000444,
        0.5740739139837451,
        0.574768736116589,
        0.5749998400000444,
        0.575230692820144,
        0.5749998400000444,
        0.5749998400000444,
        0.5754612949857855,
        0.5749998400000444,
        0.5756916469049792,
        0.575230692820144,
        0.5756916469049792,
        0.5745373807599896,
        0.5746597963950947,
        0.5749998400000444,
        0.574768736116589,
        0.5744968492972339,
        0.5749591013693319,
        0.5756916469049792,
        0.5749998400000444,
        0.5768396670227762,
        0.5768396670227762,
        0.5772971375264138,
        0.5761516016316423,
        0.5739462835487219,
        0.5743057735195667,
        0.574768736116589,
        0.575230692820144,
        0.575230692820144,
        0.5749998400000444,
        0.5745373807599896,
        0.5740739139837451,
        0.5738418017400532,
        0.5745373807599896,
        0.5738015829050052,
        0.5738015829050052,
        0.5743057735195667,
        0.5747281009452241,
        0.5743057735195667,
        0.5740335906885147,
        0.5745373807599896,
        0.574156072962488,
        0.5740739139837451,
        0.5733768174746696,
        0.5743057735195667,
        0.5743057735195667
    ],
    "depth_cv_per_image": [
        0.29618775844573975,
        0.29582107067108154,
        0.2964511215686798,
        0.29623284935951233,
        0.2964804768562317,
        0.2967076301574707,
        0.2964229881763458,
        0.29621079564094543,
        0.29641979932785034,
        0.29639241099357605,
        0.2965794503688812,
        0.29655542969703674,
        0.29641398787498474,
        0.29629528522491455,
        0.29635652899742126,
        0.296225368976593,
        0.29659590125083923,
        0.29653075337409973,
        0.29634907841682434,
        0.29630810022354126,
        0.2966005504131317,
        0.29639118909835815,
        0.2966499626636505,
        0.29615336656570435,
        0.2965390682220459,
        0.29644834995269775,
        0.2965630292892456,
        0.29666411876678467,
        0.29606491327285767,
        0.29643234610557556,
        0.2963321805000305,
        0.2960692346096039,
        0.2961205542087555,
        0.29617196321487427,
        0.2962556779384613,
        0.29626020789146423,
        0.2960233986377716,
        0.2965506613254547,
        0.29676496982574463,
        0.2965100407600403,
        0.29647502303123474,
        0.2964530885219574,
        0.29666128754615784,
        0.29629606008529663,
        0.2961735129356384,
        0.2965904772281647,
        0.2969859540462494,
        0.29641589522361755,
        0.29694533348083496,
        0.2965766489505768,
        0.29638710618019104,
        0.29650989174842834,
        0.2963564395904541,
        0.29661718010902405,
        0.2969443202018738,
        0.29704129695892334,
        0.2969062328338623,
        0.2962944209575653,
        0.29664739966392517,
        0.29687419533729553,
        0.2965673804283142,
        0.2964358925819397,
        0.29644304513931274,
        0.2964238226413727,
        0.2968824505805969,
        0.2962808907032013,
        0.29643288254737854,
        0.29677915573120117,
        0.2967150807380676,
        0.2965583801269531,
        0.2963782846927643,
        0.3445793688297272,
        0.37077537178993225,
        0.41184893250465393,
        0.3963940739631653,
        0.5199142694473267,
        0.5697355270385742,
        0.6166233420372009,
        0.6342876553535461,
        0.6785376071929932,
        0.6894245743751526,
        0.7819854617118835,
        0.8639984726905823,
        0.9148690700531006,
        0.9445677995681763,
        0.9377197623252869,
        0.9762680530548096,
        1.0156217813491821,
        1.0193202495574951,
        1.0207020044326782,
        1.052504301071167,
        1.0529109239578247,
        1.0659291744232178,
        1.064941644668579,
        1.0521490573883057,
        1.0414597988128662,
        1.014809250831604,
        0.971355140209198,
        0.921615481376648,
        0.8618828654289246,
        0.7899707555770874,
        0.7217628955841064,
        0.6689983606338501,
        0.60565185546875,
        0.5501299500465393,
        0.48805707693099976,
        0.42912930250167847,
        0.36628901958465576,
        0.34797433018684387,
        0.3254973292350769,
        0.3185289800167084,
        0.3072923421859741,
        0.2978861927986145,
        0.2934982478618622,
        0.29486265778541565,
        0.2949759364128113,
        0.29557231068611145,
        0.29490402340888977,
        0.2955574095249176,
        0.2954387068748474,
        0.29516345262527466,
        0.2956549823284149,
        0.296231210231781,
        0.2955390214920044,
        0.29594701528549194,
        0.29617196321487427,
        0.29583993554115295,
        0.296280175447464,
        0.2965545058250427,
        0.29654955863952637,
        0.29657045006752014,
        0.2962929904460907,
        0.2967242896556854,
        0.2971990406513214,
        0.29614630341529846,
        0.2968241274356842,
        0.29730263352394104,
        0.29682427644729614,
        0.2959437668323517,
        0.2958831191062927,
        0.2961578369140625,
        0.2958248555660248,
        0.29673823714256287,
        0.29660969972610474,
        0.29581019282341003,
        0.2956218123435974,
        0.2966577112674713,
        0.29637229442596436,
        0.2963847517967224,
        0.29668372869491577,
        0.29660844802856445,
        0.2972921133041382,
        0.2967219352722168,
        0.2965499460697174,
        0.2966311573982239,
        0.29690858721733093,
        0.29684978723526,
        0.29683035612106323,
        0.29653871059417725,
        0.2965782582759857,
        0.29648253321647644,
        0.29670706391334534,
        0.2966470718383789,
        0.2963011562824249,
        0.29679232835769653,
        0.2966347336769104,
        0.29613882303237915,
        0.29643380641937256,
        0.29667848348617554,
        0.2970412075519562,
        0.2972763776779175,
        0.2966240644454956,
        0.29766854643821716,
        0.299228698015213,
        0.32472288608551025,
        0.43864795565605164,
        0.4479174017906189,
        0.5305083394050598,
        0.5084085464477539,
        0.5304511785507202,
        0.5042868256568909,
        0.5300746560096741,
        0.5284863710403442,
        0.5262196660041809,
        0.5394288897514343,
        0.5901797413825989,
        0.6007257699966431,
        0.6624947190284729,
        0.6949626803398132,
        0.8051040768623352,
        0.8552149534225464,
        0.923208475112915,
        0.9324288368225098,
        0.965225338935852,
        0.9311408400535583,
        0.9384900331497192,
        0.9204217791557312,
        0.8633490800857544,
        0.8319801092147827,
        0.7994682788848877,
        0.774808406829834,
        0.7510867714881897,
        0.7351483702659607,
        0.7225497961044312,
        0.7099270820617676,
        0.7059787511825562,
        0.7038336992263794,
        0.7063540816307068,
        0.7169350385665894,
        0.7254552245140076,
        0.7433041334152222,
        0.7656862139701843,
        0.7903023362159729,
        0.8152911067008972,
        0.8346177935600281,
        0.8777323365211487,
        0.8902174830436707,
        0.9026610851287842,
        0.8949071168899536,
        0.8935025930404663,
        0.9042413234710693,
        0.9027618765830994,
        0.8986135721206665,
        0.8886624574661255,
        0.8522409200668335,
        0.8215685486793518,
        0.7838277816772461,
        0.7354232668876648,
        0.7077510952949524,
        0.6995036005973816,
        0.6588999032974243,
        0.5691604018211365,
        0.5447519421577454,
        0.5662222504615784,
        0.6639999151229858,
        0.7070307731628418,
        0.6029091477394104,
        0.5819863677024841,
        0.5409408807754517,
        0.4771271347999573,
        0.4387570321559906,
        0.3704043924808502,
        0.3554372787475586,
        0.31033962965011597,
        0.29713496565818787,
        0.2970926761627197,
        0.29633277654647827,
        0.29503461718559265,
        0.2961391806602478,
        0.295932412147522,
        0.2953265607357025,
        0.2950652837753296,
        0.295215904712677,
        0.29483214020729065,
        0.29519960284233093,
        0.29607558250427246,
        0.2962650954723358,
        0.29586926102638245,
        0.2964896559715271,
        0.29626986384391785,
        0.2966781258583069,
        0.29706451296806335,
        0.2969041168689728,
        0.2968702018260956,
        0.2967678904533386,
        0.296705961227417,
        0.296502023935318,
        0.2957455515861511,
        0.296404093503952,
        0.29599326848983765,
        0.2960299849510193,
        0.2962464392185211,
        0.2963840365409851,
        0.29627925157546997,
        0.2963893413543701,
        0.29627835750579834,
        0.2955529987812042,
        0.2955804765224457,
        0.2958528399467468,
        0.2957949638366699,
        0.29579803347587585,
        0.29587334394454956,
        0.29589077830314636,
        0.29591506719589233,
        0.29588454961776733,
        0.29591673612594604,
        0.2962704598903656,
        0.2960391640663147,
        0.2959806025028229,
        0.2965965270996094,
        0.2958832383155823,
        0.29610615968704224,
        0.2960919737815857,
        0.29564011096954346,
        0.29577264189720154,
        0.29628828167915344,
        0.2956767976284027,
        0.295372873544693,
        0.2960163354873657,
        0.2956121265888214,
        0.29602593183517456,
        0.2961111068725586,
        0.29705944657325745,
        0.29574674367904663,
        0.29591554403305054,
        0.2957286536693573,
        0.2953749895095825,
        0.2958489656448364,
        0.2961769998073578,
        0.2966364026069641,
        0.296603262424469,
        0.29664677381515503,
        0.2966384291648865,
        0.2963673174381256,
        0.2962362766265869,
        0.2960589528083801,
        0.2962225675582886,
        0.29604002833366394,
        0.29638105630874634,
        0.29597339034080505,
        0.2960004210472107,
        0.2963487505912781,
        0.29647281765937805,
        0.2962394058704376,
        0.2960645258426666,
        0.29644519090652466,
        0.29666978120803833,
        0.29572662711143494,
        0.29586249589920044,
        0.29559874534606934,
        0.2960573434829712,
        0.29550090432167053,
        0.2960377335548401,
        0.29573702812194824,
        0.29593777656555176,
        0.295505553483963,
        0.2959122657775879,
        0.29582324624061584,
        0.29540398716926575,
        0.295914888381958,
        0.2958885431289673,
        0.2958868145942688,
        0.2958981394767761,
        0.29553744196891785,
        0.2954100966453552,
        0.2955063581466675,
        0.2959836721420288,
        0.2956748902797699,
        0.2963883876800537,
        0.2966754138469696,
        0.29631972312927246,
        0.2965462803840637,
        0.2961266040802002,
        0.2958216071128845,
        0.2961922883987427,
        0.2964322865009308,
        0.29675495624542236,
        0.2963443696498871,
        0.29611411690711975,
        0.2961219847202301,
        0.2963028848171234,
        0.2960355281829834,
        0.29603254795074463,
        0.29617512226104736,
        0.29619333148002625,
        0.2957410514354706,
        0.2963928282260895,
        0.29601433873176575,
        0.29638078808784485,
        0.2960888147354126,
        0.2958821952342987,
        0.296021044254303,
        0.29608210921287537,
        0.2963970899581909,
        0.2963574528694153,
        0.29628464579582214,
        0.2961161732673645,
        0.29600760340690613,
        0.29640457034111023,
        0.2965170741081238,
        0.29659411311149597,
        0.2961650490760803,
        0.2965357303619385,
        0.29584962129592896,
        0.2958572804927826,
        0.2959345877170563,
        0.29568958282470703,
        0.2956494092941284,
        0.29583171010017395,
        0.2954902946949005,
        0.29645708203315735,
        0.2958202660083771,
        0.29575061798095703,
        0.29629960656166077,
        0.2960478961467743,
        0.29575130343437195,
        0.2961021363735199,
        0.29616987705230713,
        0.2961665689945221,
        0.2961045801639557,
        0.29616326093673706,
        0.2959615886211395,
        0.29634958505630493,
        0.29602426290512085,
        0.2958717346191406,
        0.29618990421295166,
        0.2960115671157837,
        0.2962040305137634,
        0.2963007986545563,
        0.2962625026702881,
        0.2965933084487915,
        0.2964518368244171,
        0.2960723638534546,
        0.295851469039917,
        0.29599592089653015,
        0.2960134744644165,
        0.2963328957557678,
        0.2960628271102905,
        0.29594552516937256,
        0.29668161273002625,
        0.2963005304336548,
        0.2961784601211548,
        0.2963598966598511,
        0.2966051995754242,
        0.2962910532951355,
        0.2958567142486572,
        0.2961859703063965,
        0.2961040139198303,
        0.2965334951877594,
        0.29606273770332336,
        0.29638853669166565,
        0.29599234461784363,
        0.2958190441131592,
        0.29553624987602234,
        0.2954311668872833,
        0.29586365818977356,
        0.2958943247795105,
        0.2958157956600189,
        0.2957466244697571,
        0.2955763041973114,
        0.2959175705909729,
        0.2954324781894684,
        0.2956247329711914,
        0.296271413564682,
        0.29554837942123413,
        0.295682430267334,
        0.29582586884498596,
        0.29587531089782715,
        0.2957281172275543,
        0.2957260310649872,
        0.2967270314693451,
        0.2963879406452179,
        0.2965707778930664,
        0.2961518466472626,
        0.29587915539741516,
        0.29625585675239563,
        0.29595544934272766,
        0.2955261468887329,
        0.2954750955104828,
        0.2951708436012268,
        0.2954590618610382,
        0.295772910118103,
        0.2954760789871216,
        0.29542654752731323,
        0.2959071397781372,
        0.2953295409679413,
        0.29585689306259155,
        0.2966293394565582,
        0.2953609526157379,
        0.29544898867607117,
        0.295501708984375,
        0.29574111104011536,
        0.29563871026039124,
        0.29568952322006226,
        0.29569679498672485,
        0.29589858651161194,
        0.29563644528388977,
        0.29532766342163086,
        0.2964448928833008,
        0.2959641218185425,
        0.29538920521736145,
        0.29569146037101746,
        0.2959379553794861,
        0.295430064201355,
        0.29594162106513977,
        0.2957153618335724,
        0.29575368762016296,
        0.2952154576778412,
        0.29535922408103943,
        0.29561710357666016,
        0.29578763246536255,
        0.2955377399921417,
        0.2953810691833496,
        0.2953103482723236,
        0.2956026792526245,
        0.2953367531299591,
        0.29549920558929443,
        0.2958867847919464,
        0.2957836985588074,
        0.2964286506175995,
        0.29577505588531494,
        0.2957042157649994,
        0.2955886423587799,
        0.29590150713920593,
        0.2957586646080017,
        0.29574742913246155,
        0.2957068681716919,
        0.2956866919994354,
        0.295850545167923,
        0.2961931526660919,
        0.2955203950405121,
        0.2957488000392914,
        0.29572930932044983,
        0.2955157160758972,
        0.295810729265213,
        0.2960856258869171,
        0.29529497027397156,
        0.2960457503795624,
        0.2953016757965088,
        0.2960130274295807,
        0.2958519756793976,
        0.2960415780544281,
        0.2961684465408325,
        0.2953992784023285,
        0.2958694100379944,
        0.29597634077072144,
        0.2967315912246704,
        0.296552449464798,
        0.29607686400413513,
        0.29574620723724365,
        0.2957853078842163,
        0.29562702775001526,
        0.29532745480537415,
        0.29574060440063477,
        0.2959255278110504,
        0.295606791973114,
        0.29554635286331177,
        0.2953616976737976,
        0.2955700159072876,
        0.29567810893058777,
        0.29594874382019043,
        0.2956637740135193,
        0.29552409052848816,
        0.29563018679618835,
        0.29592177271842957,
        0.2958223819732666,
        0.29598528146743774,
        0.2961612641811371,
        0.29624396562576294,
        0.2956247925758362,
        0.2989327013492584,
        0.28233885765075684,
        0.30846449732780457,
        0.2766512632369995,
        0.30912327766418457,
        0.3282874822616577,
        0.3390330374240875,
        0.3451509177684784,
        0.3606759309768677,
        0.3760974109172821,
        0.3618834912776947,
        0.37693241238594055,
        0.3695138096809387,
        0.3673175573348999,
        0.3720482289791107,
        0.37071841955184937,
        0.3715813457965851,
        0.36824944615364075,
        0.3603910505771637,
        0.3624623417854309,
        0.36077892780303955,
        0.34954044222831726,
        0.3493477702140808,
        0.32816728949546814,
        0.32487404346466064,
        0.316913366317749,
        0.3057461082935333,
        0.2987097501754761,
        0.2939785122871399,
        0.27772942185401917,
        0.2794123888015747,
        0.2681327164173126,
        0.2563898265361786,
        0.251849502325058,
        0.24515259265899658,
        0.23927539587020874,
        0.23930533230304718,
        0.2344549596309662,
        0.2317419797182083,
        0.23017285764217377,
        0.24410714209079742,
        0.24221955239772797,
        0.2445625364780426,
        0.2421368956565857,
        0.2411133348941803,
        0.24174949526786804,
        0.2437901794910431,
        0.24281476438045502,
        0.24804377555847168,
        0.25337323546409607,
        0.25326231122016907,
        0.2517911493778229,
        0.25210487842559814,
        0.2550088167190552,
        0.25601765513420105,
        0.2583326995372772,
        0.2582891881465912,
        0.2592719495296478,
        0.26137351989746094,
        0.2629756033420563,
        0.26431673765182495,
        0.264343798160553,
        0.26566043496131897,
        0.2653561532497406,
        0.26586225628852844,
        0.26612988114356995,
        0.2651059627532959,
        0.26280853152275085,
        0.263240784406662,
        0.27045077085494995,
        0.26947155594825745,
        0.26916900277137756,
        0.2697475850582123,
        0.2688404321670532,
        0.27531710267066956,
        0.27577969431877136,
        0.27571550011634827,
        0.2755754292011261,
        0.27537620067596436,
        0.2761462330818176,
        0.275573194026947,
        0.27528315782546997,
        0.2731359302997589,
        0.27859777212142944,
        0.2788894474506378,
        0.28005966544151306,
        0.27993637323379517,
        0.2805333733558655,
        0.28154394030570984,
        0.2815447449684143,
        0.28174617886543274,
        0.2811988592147827,
        0.28108149766921997,
        0.27979788184165955,
        0.28016549348831177,
        0.2798721194267273,
        0.2800828218460083,
        0.2800840735435486,
        0.2807535231113434,
        0.2801588773727417,
        0.279651015996933,
        0.27820906043052673,
        0.27947503328323364,
        0.2797881066799164,
        0.2793262004852295,
        0.2766771912574768,
        0.2778960168361664,
        0.27700677514076233,
        0.27807122468948364,
        0.27654334902763367,
        0.2757607102394104,
        0.27386316657066345,
        0.2743132710456848,
        0.2714322507381439,
        0.2686871886253357,
        0.26306456327438354,
        0.26498621702194214,
        0.2643553912639618,
        0.2631755471229553,
        0.2626291513442993,
        0.2594754099845886,
        0.25772321224212646,
        0.25428590178489685,
        0.25260743498802185,
        0.2506149113178253,
        0.24962805211544037,
        0.24688851833343506,
        0.24398471415042877,
        0.24128849804401398,
        0.24025273323059082,
        0.23745422065258026,
        0.23615574836730957,
        0.2335057407617569,
        0.23338066041469574,
        0.23098887503147125,
        0.22864718735218048,
        0.21553027629852295,
        0.2177550494670868,
        0.21649916470050812,
        0.21661120653152466,
        0.21873259544372559,
        0.22388286888599396,
        0.224710613489151,
        0.21583229303359985,
        0.2122017741203308,
        0.22701168060302734,
        0.2836771309375763,
        0.2913237512111664,
        0.30314901471138,
        0.2876669466495514,
        0.30648741126060486,
        0.30785271525382996,
        0.31726592779159546,
        0.31854793429374695,
        0.313579261302948,
        0.3139761686325073,
        0.3153816759586334,
        0.31379786133766174,
        0.32323893904685974,
        0.33415281772613525,
        0.32643425464630127,
        0.32841989398002625,
        0.335185706615448,
        0.3267819583415985,
        0.32173848152160645,
        0.3256216049194336,
        0.3004981577396393,
        0.2986801266670227,
        0.3227594196796417,
        0.3070041239261627,
        0.30313900113105774,
        0.3190629780292511,
        0.3583716154098511,
        0.38773250579833984,
        0.37780919671058655,
        0.38222736120224,
        0.383321076631546,
        0.38468480110168457,
        0.3568880558013916,
        0.3846520781517029,
        0.36175286769866943,
        0.37472003698349,
        0.35294508934020996,
        0.37887004017829895,
        0.38390275835990906,
        0.4056437909603119,
        0.4111602306365967,
        0.4342382252216339,
        0.43410953879356384,
        0.44162070751190186,
        0.4251972436904907,
        0.42468345165252686,
        0.3963650166988373,
        0.34820979833602905,
        0.3214988708496094,
        0.3409748375415802,
        0.33235520124435425,
        0.3269478678703308,
        0.31597796082496643,
        0.31111598014831543,
        0.2949970066547394,
        0.2962767779827118,
        0.2953600585460663,
        0.29567593336105347,
        0.29545772075653076,
        0.29542213678359985,
        0.29549798369407654,
        0.2955755591392517,
        0.2957799732685089,
        0.2958429455757141,
        0.29563069343566895,
        0.2957284152507782,
        0.29566270112991333,
        0.29548731446266174,
        0.2952643632888794,
        0.2956651747226715,
        0.2955741584300995,
        0.2957391142845154,
        0.29587388038635254,
        0.29583296179771423,
        0.29561784863471985,
        0.2954197824001312,
        0.2952493131160736,
        0.29522740840911865,
        0.29540660977363586,
        0.29557475447654724,
        0.29575949907302856,
        0.29616397619247437,
        0.2962048649787903,
        0.29598960280418396,
        0.29559382796287537,
        0.2954752743244171,
        0.29536136984825134,
        0.29557669162750244,
        0.2962709069252014,
        0.29580602049827576,
        0.2958934009075165,
        0.29607516527175903,
        0.29554837942123413,
        0.29596224427223206,
        0.29613029956817627,
        0.29637476801872253,
        0.2956124246120453,
        0.29594680666923523,
        0.29508405923843384,
        0.295597106218338,
        0.29604169726371765,
        0.29596763849258423,
        0.2958373427391052,
        0.29511454701423645,
        0.29555994272232056,
        0.2959565222263336,
        0.2952210605144501,
        0.29542240500450134,
        0.29584652185440063,
        0.2959322929382324,
        0.2957881689071655,
        0.29577207565307617,
        0.2953539788722992,
        0.2955561578273773,
        0.29546058177948,
        0.2955171763896942,
        0.2958434224128723,
        0.2954910397529602,
        0.29534637928009033,
        0.29527345299720764,
        0.29539018869400024,
        0.2951442003250122,
        0.2960737347602844,
        0.2955491542816162,
        0.2958078384399414,
        0.2957409620285034,
        0.295348197221756,
        0.2956906259059906,
        0.2953965663909912,
        0.29522550106048584,
        0.29557955265045166,
        0.29563039541244507,
        0.2961631417274475,
        0.2953004240989685,
        0.2951282262802124,
        0.29571864008903503,
        0.29565051198005676,
        0.29522037506103516,
        0.2955463230609894,
        0.29582422971725464,
        0.2956257462501526,
        0.29533255100250244,
        0.29539796710014343,
        0.29517605900764465,
        0.29554739594459534,
        0.2952519953250885,
        0.29549431800842285,
        0.2952404320240021,
        0.2954762578010559,
        0.29550373554229736,
        0.2955321967601776,
        0.29521819949150085,
        0.29553839564323425,
        0.29525962471961975,
        0.2954528033733368,
        0.29555752873420715,
        0.2956928610801697,
        0.29527053236961365,
        0.29571640491485596,
        0.2956697344779968,
        0.2957765758037567,
        0.29574933648109436,
        0.2955259382724762,
        0.2952670156955719,
        0.2956576645374298,
        0.29607969522476196,
        0.2955620586872101,
        0.29565492272377014,
        0.2953137755393982,
        0.2954908609390259,
        0.2957611382007599,
        0.2953459322452545,
        0.2951658368110657,
        0.2956141531467438,
        0.2955165207386017,
        0.2955884635448456,
        0.2956199645996094,
        0.29546505212783813,
        0.2953215539455414,
        0.2955127954483032,
        0.2958034574985504,
        0.29531237483024597,
        0.2955346405506134,
        0.2952768802642822,
        0.295291930437088,
        0.29562562704086304,
        0.2950517535209656,
        0.29538214206695557,
        0.29552000761032104,
        0.2954651117324829,
        0.29561731219291687,
        0.2958982586860657,
        0.2951725125312805,
        0.2956104874610901,
        0.29587459564208984,
        0.2953087389469147,
        0.29589948058128357,
        0.2953716218471527,
        0.29629555344581604,
        0.2956368625164032,
        0.29582926630973816,
        0.29567819833755493,
        0.29547280073165894,
        0.2951907813549042,
        0.2952756881713867,
        0.2956790626049042,
        0.2953565716743469,
        0.2955241799354553,
        0.2953731119632721,
        0.2954486906528473,
        0.2952302396297455,
        0.2954472005367279,
        0.2951543629169464,
        0.29562363028526306,
        0.29578062891960144,
        0.2953226566314697,
        0.295457661151886,
        0.29527997970581055,
        0.295753538608551,
        0.2953703999519348,
        0.2959330677986145,
        0.2953304648399353,
        0.2959211468696594,
        0.29565495252609253,
        0.2952461540699005,
        0.2951374351978302,
        0.29516205191612244,
        0.295237272977829,
        0.2952973544597626,
        0.29561957716941833,
        0.2958987355232239,
        0.2953653037548065,
        0.29589566588401794,
        0.2954004406929016,
        0.29560181498527527,
        0.29570797085762024,
        0.2957479953765869,
        0.2956041097640991,
        0.29596737027168274,
        0.2953042685985565,
        0.2954865097999573,
        0.29635143280029297,
        0.2963148355484009,
        0.2955586910247803,
        0.29547974467277527,
        0.29556766152381897,
        0.29576897621154785,
        0.29530051350593567,
        0.295382022857666,
        0.29572635889053345,
        0.2961578369140625,
        0.29495877027511597,
        0.2961769104003906,
        0.2955467998981476,
        0.2955344319343567,
        0.2954372465610504,
        0.2957235276699066,
        0.2956180274486542,
        0.29545143246650696,
        0.2958359718322754,
        0.2953854501247406,
        0.29558008909225464,
        0.2959038019180298,
        0.29537442326545715,
        0.2953025996685028,
        0.2954012453556061,
        0.2954883575439453,
        0.2958770990371704,
        0.2955796420574188,
        0.2950817346572876,
        0.2956272065639496,
        0.2951783835887909,
        0.29560327529907227,
        0.29532402753829956,
        0.2952365577220917,
        0.2958116829395294,
        0.29564934968948364,
        0.29579198360443115,
        0.2957894802093506,
        0.29554054141044617,
        0.296310156583786,
        0.29557156562805176,
        0.2950004041194916,
        0.2952972948551178,
        0.29530876874923706,
        0.2952817380428314,
        0.2962776720523834,
        0.29536083340644836,
        0.29568132758140564,
        0.29524731636047363,
        0.2952078580856323,
        0.2951924502849579,
        0.29522544145584106,
        0.2953168451786041,
        0.29520395398139954,
        0.2957441508769989,
        0.2956528663635254,
        0.29521414637565613,
        0.2959175109863281,
        0.2954111695289612,
        0.2951597571372986,
        0.29573294520378113,
        0.2953304052352905,
        0.29547154903411865,
        0.2951469123363495,
        0.2956421375274658,
        0.29556435346603394,
        0.2954821288585663,
        0.29546499252319336,
        0.2958761751651764,
        0.29540613293647766,
        0.29559558629989624,
        0.2953350245952606,
        0.29556068778038025,
        0.2953244149684906,
        0.2951511740684509,
        0.2956252992153168,
        0.29570272564888,
        0.29546278715133667,
        0.29545870423316956,
        0.2956446707248688,
        0.29566943645477295,
        0.2954660952091217,
        0.29532137513160706,
        0.29555270075798035,
        0.29578983783721924,
        0.295675128698349,
        0.29555121064186096,
        0.2953138053417206,
        0.2952605187892914,
        0.29506996273994446,
        0.29545313119888306,
        0.29540854692459106,
        0.29524996876716614,
        0.2953338623046875,
        0.29567229747772217,
        0.2960965633392334,
        0.29505985975265503,
        0.29555705189704895,
        0.29531827569007874,
        0.29534995555877686,
        0.2951415181159973,
        0.29552093148231506,
        0.29507896304130554,
        0.2958891987800598,
        0.29560044407844543,
        0.29529622197151184,
        0.2952274978160858,
        0.2954575717449188,
        0.2957681715488434,
        0.29522934556007385,
        0.2954842746257782,
        0.2949052155017853,
        0.29532963037490845,
        0.29560402035713196,
        0.29582303762435913,
        0.29515379667282104,
        0.2958477735519409,
        0.29550701379776,
        0.2951640486717224,
        0.2948923408985138,
        0.29585686326026917,
        0.29568034410476685,
        0.29573938250541687,
        0.2951537072658539,
        0.2952061891555786,
        0.2955974340438843,
        0.2952767312526703,
        0.29574960470199585,
        0.29574647545814514,
        0.2957703471183777,
        0.2953643202781677,
        0.2964251935482025,
        0.29560616612434387,
        0.29509836435317993,
        0.2951512634754181,
        0.2958536744117737,
        0.29535505175590515,
        0.296053022146225,
        0.2958773374557495,
        0.29531845450401306,
        0.2951414883136749,
        0.29557734727859497,
        0.2954707443714142,
        0.29642224311828613,
        0.295232355594635,
        0.295056015253067,
        0.2957729399204254,
        0.2951955199241638,
        0.2952814996242523,
        0.2952701449394226,
        0.29545798897743225,
        0.2953513562679291,
        0.2953190505504608,
        0.295828253030777,
        0.2954053282737732,
        0.29541802406311035,
        0.2953546643257141,
        0.2955074906349182,
        0.29545968770980835,
        0.2960905432701111,
        0.2954968214035034,
        0.2954886257648468,
        0.29535460472106934,
        0.29579973220825195,
        0.29550814628601074,
        0.2962479293346405,
        0.2950463891029358,
        0.2952381670475006,
        0.2955256700515747,
        0.29626795649528503,
        0.29562535881996155,
        0.29562821984291077,
        0.2958734631538391,
        0.2953283190727234,
        0.2948525846004486,
        0.29526540637016296,
        0.29523971676826477,
        0.2956794500350952,
        0.2952910363674164,
        0.29515892267227173,
        0.2951034605503082,
        0.29575425386428833,
        0.2950221002101898,
        0.29597583413124084,
        0.2949815094470978,
        0.29537147283554077,
        0.2956940233707428,
        0.29554176330566406,
        0.2952090799808502,
        0.29512375593185425,
        0.295063853263855,
        0.295624703168869,
        0.2954641282558441,
        0.2953997254371643,
        0.2955509126186371,
        0.2957977056503296,
        0.29529234766960144,
        0.29560407996177673,
        0.2953743636608124,
        0.29529377818107605,
        0.2960559129714966,
        0.2957332134246826,
        0.2951245903968811,
        0.29540857672691345,
        0.2959555983543396,
        0.295459121465683,
        0.29501092433929443,
        0.29514068365097046,
        0.2953179180622101,
        0.29598209261894226,
        0.29541856050491333,
        0.29526475071907043,
        0.2954486608505249,
        0.29597243666648865,
        0.2952892780303955,
        0.29588645696640015,
        0.29538246989250183,
        0.29540643095970154,
        0.2957535982131958,
        0.29530084133148193,
        0.295205295085907,
        0.29497289657592773,
        0.2954680621623993,
        0.29528772830963135,
        0.29551151394844055,
        0.29551082849502563,
        0.2956670820713043,
        0.29551297426223755,
        0.294941246509552,
        0.2950698137283325,
        0.2955579459667206,
        0.2964661717414856,
        0.2950611114501953,
        0.29503023624420166,
        0.2950543463230133,
        0.29496344923973083,
        0.2954554855823517,
        0.29538694024086,
        0.2960471510887146,
        0.2961399257183075,
        0.29570215940475464,
        0.2956005036830902,
        0.29566818475723267,
        0.29547005891799927,
        0.29485467076301575,
        0.29508617520332336,
        0.2961157560348511,
        0.2964908182621002,
        0.295585960149765,
        0.29544639587402344,
        0.2953048646450043,
        0.2952234447002411,
        0.2954889237880707,
        0.29520443081855774,
        0.2953410744667053,
        0.29605403542518616,
        0.29544442892074585,
        0.29541200399398804,
        0.2954064607620239,
        0.2953954339027405,
        0.2955472767353058,
        0.2966572642326355,
        0.295562744140625,
        0.2954622805118561,
        0.2956989109516144,
        0.29554861783981323,
        0.2957049310207367,
        0.2955264747142792,
        0.2958292067050934,
        0.2956196367740631,
        0.2956307828426361,
        0.29608219861984253,
        0.295611172914505,
        0.29547572135925293,
        0.2954045236110687,
        0.2953309416770935,
        0.29500100016593933,
        0.29515424370765686,
        0.2951187491416931,
        0.2955741286277771,
        0.2952110469341278,
        0.29570919275283813,
        0.2951616942882538,
        0.29591864347457886,
        0.29538679122924805,
        0.2954120635986328,
        0.2955811023712158,
        0.29528093338012695,
        0.2952079474925995,
        0.2964080274105072,
        0.2950441837310791,
        0.29581645131111145,
        0.29521870613098145,
        0.2954532206058502,
        0.2957579493522644,
        0.2955706715583801,
        0.29549479484558105,
        0.29538416862487793,
        0.29571714997291565,
        0.2954489290714264,
        0.2951195240020752,
        0.2948741018772125,
        0.29489922523498535,
        0.29601481556892395,
        0.29510191082954407,
        0.29468968510627747,
        0.2951723337173462,
        0.29532772302627563,
        0.2952219545841217,
        0.2951887845993042,
        0.2955779433250427,
        0.2954259216785431,
        0.29557061195373535,
        0.2954978942871094,
        0.29515329003334045,
        0.29487907886505127,
        0.29499533772468567,
        0.295335590839386,
        0.29635968804359436,
        0.29594820737838745,
        0.29487916827201843,
        0.2955642342567444,
        0.2954551577568054,
        0.2949765622615814,
        0.294768750667572,
        0.2953723073005676,
        0.29518741369247437,
        0.2956708073616028,
        0.2962343990802765,
        0.29626238346099854,
        0.29554909467697144,
        0.2960284352302551,
        0.29616403579711914,
        0.2967882752418518,
        0.2964458763599396,
        0.2964334487915039,
        0.2967648506164551,
        0.29601573944091797,
        0.2956336438655853,
        0.2953968942165375,
        0.29522180557250977,
        0.29489707946777344,
        0.2961691915988922,
        0.29626330733299255,
        0.2952893376350403,
        0.2952161729335785,
        0.2952573299407959,
        0.29525482654571533,
        0.295807808637619,
        0.29617008566856384,
        0.2955241799354553,
        0.29539597034454346,
        0.2948695421218872,
        0.2951749265193939,
        0.2954001724720001,
        0.2952653467655182,
        0.2955177426338196,
        0.2952769696712494,
        0.29540881514549255,
        0.29556870460510254,
        0.29530078172683716,
        0.29507356882095337,
        0.2949877083301544,
        0.2952711880207062,
        0.29520243406295776,
        0.2956073582172394,
        0.2958022952079773,
        0.2968883514404297,
        0.2962184250354767,
        0.2960912585258484,
        0.29563939571380615,
        0.2959091067314148,
        0.29594701528549194,
        0.29624849557876587,
        0.295782208442688,
        0.29590219259262085,
        0.29565954208374023,
        0.2960846424102783,
        0.2960023581981659,
        0.2964712381362915,
        0.29642999172210693,
        0.29637524485588074,
        0.296129047870636,
        0.2960096001625061,
        0.2960026264190674,
        0.2959021031856537,
        0.2963739037513733,
        0.2962440252304077,
        0.2963923513889313,
        0.29594504833221436,
        0.29591789841651917,
        0.29603636264801025,
        0.2961306869983673,
        0.29648029804229736,
        0.29635366797447205,
        0.29637113213539124,
        0.29599660634994507,
        0.29595279693603516,
        0.29613354802131653,
        0.2961820363998413,
        0.29636046290397644,
        0.2961665093898773,
        0.2961236834526062,
        0.2958357036113739,
        0.2963757812976837,
        0.29576221108436584,
        0.2963980734348297,
        0.29609203338623047,
        0.2959541082382202,
        0.29604724049568176,
        0.29602861404418945,
        0.29595836997032166,
        0.29584231972694397,
        0.2957824468612671,
        0.2958175241947174,
        0.2955339550971985,
        0.29577916860580444,
        0.2961462438106537,
        0.29575997591018677,
        0.2959822714328766,
        0.29578474164009094,
        0.2960973083972931,
        0.29606345295906067,
        0.2959830164909363,
        0.29588717222213745,
        0.29559215903282166,
        0.2955002784729004,
        0.2954462766647339,
        0.2958422005176544,
        0.29510632157325745,
        0.29558274149894714,
        0.29559141397476196,
        0.29558801651000977,
        0.29566138982772827,
        0.29606136679649353,
        0.29584750533103943,
        0.295927494764328,
        0.29563552141189575,
        0.29566851258277893,
        0.2952171862125397,
        0.2956086993217468,
        0.2948489189147949,
        0.29567381739616394,
        0.29582348465919495,
        0.2950499653816223,
        0.295418381690979,
        0.29568514227867126,
        0.29575204849243164,
        0.2960880696773529,
        0.2959706783294678,
        0.29583194851875305,
        0.2957438826560974,
        0.2952631115913391,
        0.2956920266151428,
        0.29575350880622864,
        0.29594385623931885,
        0.29573458433151245,
        0.29542791843414307,
        0.2949419915676117,
        0.29611504077911377,
        0.29559627175331116,
        0.2948433458805084,
        0.29518988728523254,
        0.29558390378952026,
        0.2953358292579651,
        0.2950068414211273,
        0.29536372423171997,
        0.2955052852630615,
        0.2954307496547699,
        0.295585572719574,
        0.2955300509929657,
        0.29509052634239197,
        0.2950856387615204,
        0.2957580089569092,
        0.29542815685272217,
        0.2949386537075043,
        0.2949104309082031,
        0.29536154866218567,
        0.2953585088253021,
        0.2959270775318146,
        0.2952384948730469,
        0.2948480546474457,
        0.2951008081436157,
        0.29541802406311035,
        0.2954648733139038,
        0.2951933741569519,
        0.295672744512558,
        0.29537588357925415,
        0.29564720392227173,
        0.295438289642334,
        0.29533058404922485,
        0.29563090205192566,
        0.2952815890312195,
        0.2955043613910675,
        0.2955935597419739,
        0.2961089015007019,
        0.29559338092803955,
        0.29574158787727356,
        0.2948579490184784,
        0.2950810194015503,
        0.2955167591571808,
        0.29523390531539917,
        0.2955496907234192,
        0.29569926857948303,
        0.2956356704235077,
        0.29559436440467834,
        0.2954423427581787,
        0.2954216003417969,
        0.2952874004840851,
        0.2953161597251892,
        0.2954207956790924,
        0.29607880115509033,
        0.29611873626708984,
        0.295853853225708,
        0.29558688402175903,
        0.29536527395248413,
        0.29538971185684204,
        0.29503899812698364,
        0.2958484888076782,
        0.2954707145690918,
        0.29522982239723206,
        0.29530322551727295,
        0.2951953709125519,
        0.2955266833305359,
        0.2955370247364044,
        0.29535168409347534,
        0.29555249214172363,
        0.29583996534347534,
        0.2957611382007599,
        0.2954614758491516,
        0.2958035469055176,
        0.29567238688468933,
        0.29607847332954407,
        0.2952823042869568,
        0.2955118417739868,
        0.2955584228038788,
        0.2954987585544586,
        0.2956605553627014,
        0.2954447269439697,
        0.29548871517181396,
        0.2954035997390747,
        0.2956728935241699,
        0.29575419425964355,
        0.29526910185813904,
        0.29497337341308594,
        0.2954288423061371,
        0.2957751452922821,
        0.2953528165817261,
        0.2956857979297638,
        0.29577070474624634,
        0.2961166203022003,
        0.29594576358795166,
        0.29565876722335815,
        0.2957560420036316,
        0.2954263687133789,
        0.2958163321018219,
        0.2956194281578064,
        0.29557913541793823,
        0.29516831040382385,
        0.2955421805381775,
        0.29574429988861084,
        0.29557764530181885,
        0.29517969489097595,
        0.29532989859580994,
        0.29569679498672485,
        0.2962437868118286,
        0.29562249779701233,
        0.29542094469070435,
        0.29531875252723694,
        0.2959540784358978,
        0.295555055141449,
        0.29587599635124207,
        0.29597270488739014,
        0.2956261932849884,
        0.2953677177429199,
        0.2959020435810089,
        0.29569950699806213,
        0.2955336570739746,
        0.2956637144088745,
        0.2954620122909546,
        0.2952110469341278,
        0.2955559492111206,
        0.29547110199928284,
        0.29550662636756897,
        0.2956444025039673,
        0.2959497272968292,
        0.29526272416114807,
        0.2951824367046356,
        0.2956424057483673,
        0.2958010137081146,
        0.29543930292129517,
        0.2956632375717163,
        0.2953270375728607,
        0.29557743668556213,
        0.2957528531551361,
        0.29568496346473694,
        0.29560384154319763,
        0.29506686329841614,
        0.2950974702835083,
        0.29541128873825073,
        0.29495489597320557,
        0.2951965034008026,
        0.29510655999183655,
        0.29514482617378235,
        0.2951389253139496,
        0.2957763373851776,
        0.29508176445961,
        0.29563620686531067,
        0.29535025358200073,
        0.29522740840911865,
        0.29524683952331543,
        0.2951623201370239,
        0.2950809895992279,
        0.29549282789230347,
        0.2953578233718872,
        0.29542601108551025,
        0.2957296073436737,
        0.2953889071941376,
        0.29511144757270813,
        0.2951713502407074,
        0.2954699993133545,
        0.29525628685951233,
        0.29555991291999817,
        0.29554498195648193,
        0.29511886835098267,
        0.29568538069725037,
        0.29566115140914917,
        0.29513534903526306,
        0.2948174476623535,
        0.29496899247169495,
        0.29524558782577515,
        0.2960520088672638,
        0.2955586016178131,
        0.29559049010276794,
        0.2955901622772217,
        0.295723021030426,
        0.29577305912971497,
        0.2959502339363098,
        0.295767217874527,
        0.295708030462265,
        0.29544228315353394,
        0.2952713966369629,
        0.2952919006347656,
        0.2958143651485443,
        0.29523634910583496,
        0.29521697759628296,
        0.29577985405921936,
        0.2953627109527588,
        0.295735627412796,
        0.2955763638019562,
        0.295596182346344,
        0.2954966127872467,
        0.29534703493118286,
        0.2957225739955902,
        0.29574766755104065,
        0.29558995366096497,
        0.2953980267047882,
        0.2956099510192871,
        0.2954306900501251,
        0.29548180103302,
        0.2955283522605896,
        0.2956259548664093,
        0.2955222427845001,
        0.2956807613372803,
        0.29549989104270935,
        0.2954029440879822,
        0.29544270038604736,
        0.29573389887809753,
        0.2952791452407837,
        0.2951916754245758,
        0.29562339186668396,
        0.2954576015472412,
        0.2956138551235199,
        0.29532286524772644,
        0.2958579659461975,
        0.29567572474479675,
        0.29569193720817566,
        0.2955477833747864,
        0.2959045469760895,
        0.2955370545387268,
        0.29590409994125366,
        0.2955579459667206,
        0.29560723900794983,
        0.29540660977363586,
        0.29548200964927673,
        0.29509037733078003,
        0.29545652866363525,
        0.2955935299396515,
        0.29527994990348816,
        0.29559487104415894,
        0.29540205001831055,
        0.2953170835971832,
        0.29550662636756897,
        0.29528844356536865,
        0.2955610752105713,
        0.2951980531215668,
        0.2956702411174774,
        0.2953968048095703,
        0.29574090242385864,
        0.29535895586013794,
        0.29546964168548584,
        0.2950512170791626,
        0.29574793577194214,
        0.2952131927013397,
        0.29557740688323975,
        0.2954079210758209,
        0.2952653467655182,
        0.2953373193740845,
        0.2955171465873718,
        0.2953847646713257,
        0.295942485332489,
        0.29498788714408875,
        0.2950790226459503,
        0.29521870613098145,
        0.29569995403289795,
        0.29547393321990967,
        0.2954466938972473,
        0.2954360842704773,
        0.2955428659915924,
        0.2955573797225952,
        0.29524487257003784,
        0.2951001822948456,
        0.2952115833759308,
        0.2952767312526703,
        0.2950439453125,
        0.2953422963619232,
        0.2951889932155609,
        0.2958333194255829,
        0.29538866877555847,
        0.2952144145965576,
        0.29539111256599426,
        0.29513564705848694,
        0.29628613591194153,
        0.2960379421710968,
        0.295419305562973,
        0.29513952136039734,
        0.2954840064048767,
        0.29508844017982483,
        0.2957627773284912,
        0.2955836057662964,
        0.29522907733917236,
        0.2956799864768982,
        0.29507893323898315,
        0.2953190207481384,
        0.2951830327510834,
        0.2952909469604492,
        0.2948181629180908,
        0.29510578513145447,
        0.29531410336494446,
        0.29515504837036133,
        0.29535427689552307,
        0.29561445116996765,
        0.2954023778438568,
        0.2953837215900421,
        0.29542839527130127,
        0.2957894206047058,
        0.2952321469783783,
        0.2952263653278351,
        0.29530593752861023,
        0.29552778601646423,
        0.2951675057411194,
        0.29520145058631897,
        0.2960350215435028,
        0.29619282484054565,
        0.2954602539539337,
        0.29502299427986145,
        0.29512304067611694,
        0.29502829909324646,
        0.2956349849700928,
        0.29559528827667236,
        0.29548224806785583,
        0.2953578233718872,
        0.29516980051994324,
        0.29524779319763184,
        0.2955097258090973,
        0.29542261362075806,
        0.29489150643348694,
        0.2955821752548218,
        0.29503703117370605,
        0.2954222559928894,
        0.2952394485473633,
        0.2956393361091614,
        0.29520201683044434,
        0.2951008081436157,
        0.2954500615596771,
        0.2958619296550751,
        0.29521697759628296,
        0.29559218883514404,
        0.2950328588485718,
        0.2949736714363098,
        0.29511889815330505,
        0.29524877667427063,
        0.29530832171440125,
        0.29515665769577026,
        0.29528212547302246,
        0.2954120635986328,
        0.29513078927993774,
        0.2952113747596741,
        0.2955824136734009,
        0.29476019740104675,
        0.295267790555954,
        0.29526376724243164,
        0.2951524257659912,
        0.29546135663986206,
        0.29524263739585876,
        0.29506605863571167,
        0.29493433237075806,
        0.295402854681015,
        0.29514774680137634,
        0.29541704058647156,
        0.2954886257648468,
        0.29568323493003845,
        0.29499855637550354,
        0.29516857862472534,
        0.29512161016464233,
        0.295257031917572,
        0.29520606994628906,
        0.2951992154121399,
        0.29514315724372864,
        0.29554659128189087,
        0.2955065071582794,
        0.2954501509666443,
        0.2951570749282837,
        0.2954140901565552,
        0.2955124080181122,
        0.29521897435188293,
        0.2953121066093445,
        0.2953964173793793,
        0.2953580617904663,
        0.29526907205581665,
        0.2953249216079712,
        0.2950425148010254,
        0.2954344153404236,
        0.29526907205581665,
        0.2954069972038269,
        0.29522693157196045,
        0.295377254486084,
        0.2952689826488495,
        0.2952474057674408,
        0.29530733823776245,
        0.29497700929641724,
        0.2953735291957855,
        0.2949700951576233,
        0.29511508345603943,
        0.29528605937957764,
        0.2954506278038025,
        0.2952292859554291,
        0.2953803241252899,
        0.29492706060409546,
        0.2957766056060791,
        0.2952953279018402,
        0.29540127515792847,
        0.29536008834838867,
        0.2950594127178192,
        0.2948472499847412,
        0.2955145239830017,
        0.2952526807785034,
        0.29478925466537476,
        0.29555544257164,
        0.29527372121810913,
        0.295261412858963,
        0.2951914072036743,
        0.29511547088623047,
        0.2950083315372467,
        0.29521727561950684,
        0.29566144943237305,
        0.29541417956352234,
        0.2952724099159241,
        0.295312762260437,
        0.29520779848098755,
        0.2949461042881012,
        0.2950291037559509,
        0.29510021209716797,
        0.29521286487579346,
        0.2952146828174591,
        0.2954488694667816,
        0.29529303312301636,
        0.2957007586956024,
        0.2952810525894165,
        0.2951706647872925,
        0.2950783967971802,
        0.2949909567832947,
        0.295178085565567,
        0.2955867648124695,
        0.29538461565971375,
        0.29580092430114746,
        0.2956642508506775,
        0.29547998309135437,
        0.2953314781188965,
        0.29543131589889526,
        0.2954622209072113,
        0.2950555086135864,
        0.2954327464103699,
        0.29501545429229736,
        0.29537853598594666,
        0.2951301038265228,
        0.29487311840057373,
        0.29522156715393066,
        0.29521119594573975,
        0.29553332924842834,
        0.29525989294052124,
        0.2954469919204712,
        0.2952076494693756,
        0.29531240463256836,
        0.2952973544597626,
        0.2951376140117645,
        0.29527533054351807,
        0.29517796635627747,
        0.29551389813423157,
        0.29513710737228394,
        0.295465350151062,
        0.2953369617462158,
        0.29564327001571655,
        0.29537564516067505,
        0.29529115557670593,
        0.29514962434768677,
        0.29547303915023804,
        0.295175701379776,
        0.2951104938983917,
        0.2947823703289032,
        0.2951338291168213,
        0.2952095568180084,
        0.2953161597251892,
        0.2950766980648041,
        0.295533686876297,
        0.29545632004737854,
        0.29560747742652893,
        0.29543301463127136,
        0.29493898153305054,
        0.29557278752326965,
        0.29512327909469604,
        0.2950088381767273,
        0.2956450879573822,
        0.29532068967819214,
        0.2956230640411377,
        0.2951461672782898,
        0.2954361140727997,
        0.29535841941833496,
        0.29556989669799805,
        0.29542309045791626,
        0.29522570967674255,
        0.2952374219894409,
        0.2955847680568695,
        0.2951681613922119,
        0.2956954836845398,
        0.29627326130867004,
        0.29532310366630554,
        0.29535654187202454,
        0.29528042674064636,
        0.295428067445755,
        0.2953948676586151,
        0.2950134575366974,
        0.29549944400787354,
        0.29563379287719727,
        0.2949996292591095,
        0.295077919960022,
        0.29592061042785645,
        0.29556968808174133,
        0.2956811487674713,
        0.29564493894577026,
        0.2954755127429962,
        0.2956467866897583,
        0.2953467071056366,
        0.29544514417648315,
        0.29542937874794006,
        0.2956897020339966,
        0.2956279218196869,
        0.2955993711948395,
        0.29552772641181946,
        0.2954917848110199,
        0.2955399751663208,
        0.2959553301334381,
        0.29545482993125916,
        0.29537296295166016,
        0.29540058970451355,
        0.29545947909355164,
        0.2951410114765167,
        0.2951074540615082,
        0.295573890209198,
        0.29533010721206665,
        0.2950280010700226,
        0.29562413692474365,
        0.29574406147003174,
        0.2955962121486664,
        0.2956002950668335,
        0.29574161767959595,
        0.29550254344940186,
        0.2956850528717041,
        0.2955145537853241,
        0.29522430896759033,
        0.29563823342323303,
        0.2953731417655945,
        0.29548051953315735,
        0.29559841752052307,
        0.2954595386981964,
        0.2955222725868225,
        0.29572731256484985,
        0.2954008877277374,
        0.29551470279693604,
        0.2951834797859192,
        0.2956342101097107,
        0.295457124710083,
        0.2954702377319336,
        0.29524001479148865,
        0.29558196663856506,
        0.29549890756607056,
        0.29507309198379517,
        0.2952006459236145,
        0.29542970657348633,
        0.2955319583415985,
        0.29548394680023193,
        0.2955787479877472,
        0.29546287655830383,
        0.2953733205795288,
        0.29543396830558777,
        0.29542607069015503,
        0.29585304856300354,
        0.2951681911945343,
        0.2952527701854706,
        0.2954064905643463,
        0.29507580399513245,
        0.29555901885032654,
        0.29538407921791077,
        0.2954961061477661,
        0.295355886220932,
        0.2953806221485138,
        0.29536351561546326,
        0.29509127140045166,
        0.2954532206058502,
        0.2952931225299835,
        0.2955784201622009,
        0.2953067719936371,
        0.2958853244781494,
        0.29524677991867065,
        0.2951607406139374,
        0.29532134532928467,
        0.2953380048274994,
        0.295610249042511,
        0.2956472635269165,
        0.2954370379447937,
        0.29556992650032043,
        0.2955167591571808,
        0.2957003116607666,
        0.29562634229660034,
        0.29554733633995056,
        0.29521235823631287,
        0.29562750458717346,
        0.29515910148620605,
        0.2953139841556549,
        0.2951720952987671,
        0.2952699661254883,
        0.29509153962135315,
        0.2950969934463501,
        0.2954806685447693,
        0.2954854965209961,
        0.2953699231147766,
        0.29559722542762756,
        0.2958798110485077,
        0.29564782977104187,
        0.2957758605480194,
        0.2953154742717743,
        0.2953640818595886,
        0.2952421307563782,
        0.295519083738327,
        0.2957057058811188,
        0.29574719071388245,
        0.2951759099960327,
        0.29524585604667664,
        0.2955891788005829,
        0.2950432002544403,
        0.29544177651405334,
        0.29510560631752014,
        0.29586854577064514,
        0.29578378796577454,
        0.2954721748828888,
        0.29526451230049133,
        0.2957237958908081,
        0.2953989505767822,
        0.29553303122520447,
        0.295602411031723,
        0.2956264615058899,
        0.29502254724502563,
        0.2953929901123047,
        0.295345664024353,
        0.2951800525188446,
        0.29548364877700806,
        0.2954493761062622,
        0.2957003712654114,
        0.2954622209072113,
        0.29602792859077454,
        0.2960217297077179,
        0.2954024076461792,
        0.29539406299591064,
        0.29527372121810913,
        0.2953132092952728,
        0.2953379154205322,
        0.29537808895111084,
        0.2956739664077759,
        0.29560014605522156,
        0.29529058933258057,
        0.2954302132129669,
        0.2954438626766205,
        0.29547908902168274,
        0.2949526011943817,
        0.2951556146144867,
        0.2950349748134613,
        0.29552406072616577,
        0.2955113351345062,
        0.2952212989330292,
        0.29566094279289246,
        0.2960685193538666,
        0.2954554259777069,
        0.29553839564323425,
        0.29537102580070496,
        0.29574593901634216,
        0.29559090733528137,
        0.2955116629600525,
        0.2955390512943268,
        0.295803964138031,
        0.2953588366508484,
        0.29551219940185547,
        0.2958453893661499,
        0.29539886116981506,
        0.2955758273601532,
        0.29524677991867065,
        0.2952077388763428,
        0.2955770194530487,
        0.2952924966812134,
        0.2955588102340698,
        0.2958437204360962,
        0.2952699065208435,
        0.2955116033554077,
        0.29505521059036255,
        0.2948438227176666,
        0.2957947552204132,
        0.2956733703613281,
        0.29545411467552185,
        0.29537904262542725,
        0.295583575963974,
        0.29504692554473877,
        0.2954062819480896,
        0.2952900230884552,
        0.29546740651130676,
        0.29518163204193115,
        0.29541561007499695,
        0.2955387830734253,
        0.2957589328289032,
        0.29541972279548645,
        0.2955824136734009,
        0.29582640528678894,
        0.295735239982605,
        0.29535484313964844,
        0.29567888379096985,
        0.2953420579433441,
        0.29562219977378845,
        0.2951929271221161,
        0.2953741252422333,
        0.29576995968818665,
        0.295574426651001,
        0.29547274112701416,
        0.29599258303642273,
        0.2956191897392273,
        0.29530203342437744,
        0.29532623291015625,
        0.2950775623321533,
        0.2954398989677429,
        0.2953837215900421,
        0.29543665051460266,
        0.295460045337677,
        0.29528534412384033,
        0.29547151923179626,
        0.2956847548484802,
        0.29545652866363525,
        0.29561567306518555,
        0.2957310378551483,
        0.29576846957206726,
        0.2954486012458801,
        0.29578912258148193,
        0.29525041580200195,
        0.29556429386138916,
        0.2956303358078003,
        0.2955089807510376,
        0.2955866754055023,
        0.29524579644203186,
        0.2952619194984436,
        0.2953997552394867,
        0.29542508721351624,
        0.2954435348510742,
        0.2954424023628235,
        0.2953440546989441,
        0.2955036461353302,
        0.2957169711589813,
        0.29546788334846497,
        0.2956294119358063,
        0.2952960133552551,
        0.29563915729522705,
        0.2954676151275635,
        0.29573705792427063,
        0.2958526909351349,
        0.29547974467277527,
        0.2951984405517578,
        0.2954254746437073,
        0.2954550087451935,
        0.29547545313835144,
        0.2954322099685669,
        0.2958793640136719,
        0.2953342795372009,
        0.2952485680580139,
        0.29543519020080566,
        0.2954934239387512,
        0.29532667994499207,
        0.2951549291610718,
        0.29516544938087463,
        0.29524609446525574,
        0.295305460691452,
        0.29556822776794434,
        0.2956055700778961,
        0.2952350676059723,
        0.2953653037548065,
        0.29543402791023254,
        0.29585540294647217,
        0.2955380380153656,
        0.29559022188186646,
        0.2954765856266022,
        0.29526835680007935,
        0.2955901324748993,
        0.2953138053417206,
        0.29520130157470703,
        0.29523321986198425,
        0.29534509778022766,
        0.29560527205467224,
        0.29558563232421875,
        0.29512205719947815,
        0.2953287661075592,
        0.29541462659835815,
        0.29531893134117126,
        0.29570522904396057,
        0.2955828607082367,
        0.2955355644226074,
        0.2955760061740875,
        0.29547303915023804,
        0.29493027925491333,
        0.2951808273792267,
        0.2952183187007904,
        0.29502007365226746,
        0.2951664626598358,
        0.29530036449432373,
        0.29544368386268616,
        0.2955076992511749,
        0.2951728105545044,
        0.2951335310935974,
        0.29529181122779846,
        0.29484128952026367,
        0.29525721073150635,
        0.2952102720737457,
        0.2953067421913147,
        0.2952919900417328,
        0.29568177461624146,
        0.2951629161834717,
        0.29516837000846863,
        0.29521286487579346,
        0.29541337490081787,
        0.29526564478874207,
        0.295539528131485,
        0.2956530749797821,
        0.29490926861763,
        0.29527518153190613,
        0.29527634382247925,
        0.2959305942058563,
        0.2956632971763611,
        0.29521846771240234,
        0.2956060767173767,
        0.29526352882385254,
        0.2954179048538208,
        0.29570379853248596,
        0.2954520881175995,
        0.29537323117256165,
        0.2952253520488739,
        0.29572367668151855,
        0.2956755757331848,
        0.2952028512954712,
        0.29565349221229553,
        0.2958938181400299,
        0.29527395963668823,
        0.295177161693573,
        0.295113205909729,
        0.2949316203594208,
        0.29558706283569336,
        0.2949889600276947,
        0.2953021824359894,
        0.29537513852119446,
        0.2951046824455261,
        0.2953759729862213,
        0.2953697443008423,
        0.29556477069854736,
        0.29576006531715393,
        0.2954077422618866,
        0.2954687476158142,
        0.295335590839386,
        0.2958526015281677,
        0.29518476128578186,
        0.2953653931617737,
        0.2953195869922638,
        0.29537340998649597,
        0.29515016078948975,
        0.2949877381324768,
        0.29523903131484985,
        0.29531851410865784,
        0.2956869900226593,
        0.29531556367874146,
        0.2949291169643402,
        0.29545459151268005,
        0.295073926448822,
        0.2951385974884033,
        0.294876366853714,
        0.2953278422355652,
        0.29523923993110657,
        0.2952556908130646,
        0.2950132489204407,
        0.2953418493270874,
        0.2951370179653168,
        0.2950897812843323,
        0.2952790856361389,
        0.2952010929584503,
        0.29539528489112854,
        0.295685738325119,
        0.2954486608505249,
        0.29523715376853943,
        0.29533472657203674,
        0.2949371635913849,
        0.2949986457824707,
        0.295136421918869,
        0.29502302408218384,
        0.2950514554977417,
        0.29522907733917236,
        0.2952379286289215,
        0.2952592670917511,
        0.29517295956611633,
        0.2951206564903259,
        0.2949426770210266,
        0.2954646050930023,
        0.29500094056129456,
        0.29540500044822693,
        0.29554757475852966,
        0.2948782742023468,
        0.29523763060569763,
        0.2949414551258087,
        0.2952946722507477,
        0.295530766248703,
        0.29543378949165344,
        0.2956216037273407,
        0.2954445481300354,
        0.2952631115913391,
        0.2956366539001465,
        0.2948451638221741,
        0.2954082787036896,
        0.29551029205322266,
        0.29513174295425415,
        0.29539546370506287,
        0.2954331040382385,
        0.29522231221199036,
        0.29523029923439026,
        0.2953673005104065,
        0.29503536224365234,
        0.2954433262348175,
        0.295331209897995,
        0.2952708899974823,
        0.2954825758934021,
        0.2953498363494873,
        0.2950529158115387,
        0.2950170934200287,
        0.29500696063041687,
        0.2952970862388611,
        0.2949908375740051,
        0.295103520154953,
        0.2952064275741577,
        0.2945409417152405,
        0.2947348356246948,
        0.2947341501712799,
        0.2943824827671051,
        0.294321745634079,
        0.2947945296764374,
        0.2951362729072571,
        0.2957814335823059,
        0.295028418302536,
        0.2950338125228882,
        0.29506781697273254,
        0.29482123255729675,
        0.29491564631462097,
        0.29430752992630005,
        0.29491516947746277,
        0.29491207003593445,
        0.29493266344070435,
        0.2954312860965729,
        0.2954961359500885,
        0.2953934967517853,
        0.2950952351093292,
        0.2953375279903412,
        0.29546400904655457,
        0.295241117477417,
        0.29539555311203003,
        0.2952004373073578,
        0.2955741882324219,
        0.29534804821014404,
        0.29526954889297485,
        0.2954382300376892,
        0.2951284348964691,
        0.29501524567604065,
        0.2953234612941742,
        0.2951884865760803,
        0.2950287461280823,
        0.2950585186481476,
        0.2950035631656647,
        0.29510006308555603,
        0.29482215642929077,
        0.29508668184280396,
        0.2950739860534668,
        0.29499268531799316,
        0.2950681149959564,
        0.2952027916908264,
        0.2950907051563263,
        0.29538455605506897,
        0.2951771020889282,
        0.29556435346603394,
        0.2953709661960602,
        0.29597988724708557,
        0.29573768377304077,
        0.2956256866455078,
        0.29528868198394775,
        0.29538220167160034,
        0.2955564260482788,
        0.2953752279281616,
        0.29514336585998535,
        0.2949189245700836,
        0.29547548294067383,
        0.29516664147377014,
        0.2954535484313965,
        0.29542937874794006,
        0.29530683159828186,
        0.2952899634838104,
        0.29543858766555786,
        0.2951747179031372,
        0.2956521213054657,
        0.2955382764339447,
        0.2951638102531433,
        0.29535818099975586,
        0.29548150300979614,
        0.2954176962375641,
        0.29534557461738586,
        0.29559412598609924,
        0.29550573229789734,
        0.2955968379974365,
        0.2957552671432495,
        0.2954769432544708,
        0.2955911159515381,
        0.29563334584236145,
        0.29562678933143616,
        0.29562699794769287,
        0.2955876588821411,
        0.295797735452652,
        0.2953855097293854,
        0.2952750325202942,
        0.2955435812473297,
        0.29514867067337036,
        0.2953343987464905,
        0.2955152690410614,
        0.2954120337963104,
        0.2951555848121643,
        0.295536607503891,
        0.2951016128063202,
        0.2952622175216675,
        0.29527637362480164,
        0.29550179839134216,
        0.29555627703666687,
        0.2955326735973358,
        0.295687735080719,
        0.29515281319618225,
        0.2950132489204407,
        0.29563090205192566,
        0.2954435348510742,
        0.2949458062648773,
        0.29526564478874207,
        0.2952720522880554,
        0.29539617896080017,
        0.29568684101104736,
        0.29528024792671204,
        0.2952007055282593,
        0.29573336243629456,
        0.29572594165802,
        0.2954714298248291,
        0.2956179976463318,
        0.2952382564544678,
        0.29534733295440674,
        0.29571688175201416,
        0.2953699231147766,
        0.29527780413627625,
        0.29552361369132996,
        0.2951638400554657,
        0.29586905241012573,
        0.29531434178352356,
        0.29553326964378357,
        0.2954476475715637,
        0.2955450117588043,
        0.2953898310661316,
        0.295309454202652,
        0.29568979144096375,
        0.2952883541584015,
        0.2952814996242523,
        0.2955106496810913,
        0.2950176000595093,
        0.29523685574531555,
        0.295151025056839,
        0.2952798902988434,
        0.2957093417644501,
        0.29577818512916565,
        0.2957804203033447,
        0.2952970266342163,
        0.29575517773628235,
        0.29521700739860535,
        0.29533901810646057,
        0.2954007387161255,
        0.2957388460636139,
        0.2954486012458801,
        0.2959071397781372,
        0.29530635476112366,
        0.2952713668346405,
        0.2955177426338196,
        0.29555371403694153,
        0.2954784333705902,
        0.29550883173942566,
        0.2957398593425751,
        0.2956666946411133,
        0.2954042851924896,
        0.2955802381038666,
        0.29537448287010193,
        0.29553961753845215,
        0.2955450415611267,
        0.2958230972290039,
        0.2952304184436798,
        0.29512104392051697,
        0.29538434743881226,
        0.29563435912132263,
        0.29524433612823486,
        0.29536670446395874,
        0.29542356729507446,
        0.29543671011924744,
        0.29550617933273315,
        0.29524198174476624,
        0.2949916124343872,
        0.2951900064945221,
        0.2952338755130768,
        0.2955353558063507,
        0.2956404983997345,
        0.29552969336509705,
        0.295448899269104,
        0.2953585684299469,
        0.29558926820755005,
        0.2954906225204468,
        0.29573294520378113,
        0.2958173155784607,
        0.2958477735519409,
        0.29573550820350647,
        0.29526224732398987,
        0.29525241255760193,
        0.2959369719028473,
        0.295495867729187,
        0.29524853825569153,
        0.29558491706848145,
        0.29531624913215637,
        0.2952510118484497,
        0.29536929726600647,
        0.29526007175445557,
        0.29539546370506287,
        0.29529520869255066,
        0.2952598035335541,
        0.2951255142688751,
        0.29558026790618896,
        0.29532209038734436,
        0.29489490389823914,
        0.29536744952201843,
        0.2952759563922882,
        0.29501616954803467,
        0.29548683762550354,
        0.2955104410648346,
        0.29531508684158325,
        0.295457661151886,
        0.2952720820903778,
        0.2953951358795166,
        0.29558897018432617,
        0.294988214969635,
        0.29562151432037354,
        0.2951500713825226,
        0.29558077454566956,
        0.2954448461532593,
        0.2950396239757538,
        0.2950884997844696,
        0.29535308480262756,
        0.2958005964756012,
        0.294951468706131,
        0.2953087389469147,
        0.29533490538597107,
        0.2951076328754425,
        0.2952363193035126,
        0.2954612374305725,
        0.2954344153404236,
        0.2951335906982422,
        0.2953442335128784,
        0.2949068248271942,
        0.2954011559486389,
        0.29558148980140686,
        0.2955014109611511,
        0.29578670859336853,
        0.295380175113678,
        0.2954094707965851,
        0.29489368200302124,
        0.2951854467391968,
        0.2954008877277374,
        0.29532378911972046,
        0.29536423087120056,
        0.29548853635787964,
        0.2948893904685974,
        0.29550859332084656,
        0.29544174671173096,
        0.2954708933830261,
        0.2955284118652344,
        0.2953908443450928,
        0.29514580965042114,
        0.294944167137146,
        0.2951558530330658,
        0.2950275242328644,
        0.29532045125961304,
        0.2954781949520111,
        0.2953270971775055,
        0.29525139927864075,
        0.2955867350101471,
        0.29568541049957275,
        0.2955876290798187,
        0.2962517738342285,
        0.2954348623752594,
        0.2954659163951874,
        0.29512307047843933,
        0.29545852541923523,
        0.2953144609928131,
        0.2955075204372406,
        0.29559850692749023,
        0.2954750657081604,
        0.29532724618911743,
        0.2948589324951172,
        0.2949025630950928,
        0.2955297827720642,
        0.29559385776519775,
        0.2952232360839844,
        0.2958197593688965,
        0.2955920696258545,
        0.2954208552837372,
        0.2953026592731476,
        0.29552146792411804,
        0.2952025532722473,
        0.29543057084083557,
        0.2954672574996948,
        0.29530853033065796,
        0.29536041617393494,
        0.2957787811756134,
        0.2953457236289978,
        0.29525357484817505,
        0.29524946212768555,
        0.29501426219940186,
        0.29533544182777405,
        0.2952902615070343,
        0.29512861371040344,
        0.29576700925827026,
        0.2955082654953003,
        0.29523465037345886,
        0.2956112325191498,
        0.2951606214046478,
        0.2948954403400421,
        0.29526349902153015,
        0.2948976755142212,
        0.294955313205719,
        0.29505065083503723,
        0.29505404829978943,
        0.29557374119758606,
        0.2944962680339813,
        0.29491278529167175,
        0.2950698435306549,
        0.29526713490486145,
        0.29440364241600037,
        0.2951827943325043,
        0.2951183319091797,
        0.29513871669769287,
        0.29497426748275757,
        0.294827401638031,
        0.29488807916641235,
        0.29564833641052246,
        0.29555627703666687,
        0.296170175075531,
        0.29577919840812683,
        0.296139121055603,
        0.2960582673549652,
        0.2962843179702759,
        0.2953222692012787,
        0.296182245016098,
        0.29597198963165283,
        0.29573890566825867,
        0.29511216282844543,
        0.2950915992259979,
        0.29473650455474854,
        0.29483336210250854,
        0.2950621545314789,
        0.29500144720077515,
        0.2948625385761261,
        0.29484114050865173,
        0.29488107562065125,
        0.29508721828460693,
        0.29564422369003296,
        0.2954520583152771,
        0.2953900992870331,
        0.29557082056999207,
        0.2963966429233551,
        0.29595890641212463,
        0.2958967387676239,
        0.2956942021846771,
        0.29571759700775146,
        0.29524850845336914,
        0.29480433464050293,
        0.29505497217178345,
        0.29497674107551575,
        0.2952828109264374,
        0.2955714762210846,
        0.2955087125301361,
        0.29555290937423706,
        0.295737087726593,
        0.2959163784980774,
        0.2963298261165619,
        0.29617926478385925,
        0.29580870270729065,
        0.29598909616470337,
        0.2961530089378357,
        0.2958674132823944,
        0.29651015996932983,
        0.29612013697624207,
        0.29572075605392456,
        0.29659298062324524,
        0.29594990611076355,
        0.29623448848724365,
        0.2965422570705414,
        0.29659199714660645,
        0.29675331711769104,
        0.2971368432044983,
        0.29663991928100586,
        0.29686427116394043,
        0.2971552014350891,
        0.2972014546394348,
        0.2975984513759613,
        0.2970340847969055,
        0.29717883467674255,
        0.29605498909950256,
        0.2956612706184387,
        0.2955153286457062,
        0.2954014539718628,
        0.2955215573310852,
        0.2956068813800812,
        0.29519131779670715,
        0.2951751947402954,
        0.2955775260925293,
        0.29540911316871643,
        0.2953590750694275,
        0.2956971526145935,
        0.2946281433105469,
        0.295128732919693,
        0.29499268531799316,
        0.2953316569328308,
        0.2957119941711426,
        0.2957945168018341,
        0.2955094575881958,
        0.2955082952976227,
        0.2957351505756378,
        0.2961738407611847,
        0.2954106628894806,
        0.29543283581733704,
        0.29501327872276306,
        0.2957698106765747,
        0.29520875215530396,
        0.29494330286979675,
        0.2952623963356018,
        0.29556578397750854,
        0.2954680919647217,
        0.2953474521636963,
        0.295177161693573,
        0.2955504059791565,
        0.29591992497444153,
        0.29554182291030884,
        0.2952217757701874,
        0.2953227162361145,
        0.29532280564308167,
        0.2953660190105438,
        0.2950708568096161,
        0.29533201456069946,
        0.2954387366771698,
        0.29531431198120117,
        0.29519417881965637,
        0.29545503854751587,
        0.29577070474624634,
        0.2957351803779602,
        0.296276718378067,
        0.2969643175601959,
        0.29756537079811096,
        0.2977144718170166,
        0.29664385318756104,
        0.29664912819862366,
        0.29782894253730774,
        0.29747751355171204,
        0.2983866333961487,
        0.2971726953983307,
        0.2965342402458191,
        0.29522863030433655,
        0.2962189018726349,
        0.29599228501319885,
        0.2956402003765106,
        0.2962840795516968,
        0.295975923538208,
        0.29597237706184387,
        0.29552850127220154,
        0.29496142268180847,
        0.2950429320335388,
        0.29525965452194214,
        0.2950408458709717,
        0.29538917541503906,
        0.2951272428035736,
        0.2948644459247589,
        0.2947147488594055,
        0.29515841603279114,
        0.2951606214046478,
        0.2950068414211273,
        0.2952110767364502,
        0.29486900568008423,
        0.295586496591568,
        0.2950897216796875,
        0.29489055275917053,
        0.2952255308628082,
        0.29486560821533203,
        0.2955971956253052,
        0.2949437201023102,
        0.2947080731391907,
        0.29542794823646545,
        0.29496636986732483,
        0.29535403847694397,
        0.29512932896614075,
        0.29518887400627136,
        0.2952527403831482,
        0.2952239513397217,
        0.29510194063186646,
        0.2951608896255493,
        0.295572429895401,
        0.2968674600124359,
        0.2935202419757843,
        0.3027227222919464,
        0.2887052595615387,
        0.2831602692604065,
        0.25408071279525757,
        0.28841158747673035,
        0.3081749379634857,
        0.31255125999450684,
        0.3155585527420044,
        0.3245449960231781,
        0.3157083988189697,
        0.31500479578971863,
        0.31196504831314087,
        0.31011226773262024,
        0.30796340107917786,
        0.31247901916503906,
        0.2949674427509308,
        0.29041197896003723,
        0.3246329426765442,
        0.31327933073043823,
        0.3094157576560974,
        0.31048712134361267,
        0.29860517382621765,
        0.295388787984848,
        0.28419411182403564,
        0.280718058347702,
        0.27113717794418335,
        0.2673257291316986,
        0.26391610503196716,
        0.2641846835613251,
        0.2650221586227417,
        0.2668052315711975,
        0.2622826397418976,
        0.2593599259853363,
        0.25186485052108765,
        0.25169822573661804,
        0.2507966160774231,
        0.24744310975074768,
        0.25009313225746155,
        0.2565186619758606,
        0.2700440287590027,
        0.28724923729896545,
        0.29047733545303345,
        0.29256150126457214,
        0.29605865478515625,
        0.29183822870254517,
        0.2902738153934479,
        0.2893812656402588,
        0.2885260283946991,
        0.2901843190193176,
        0.28993427753448486,
        0.29550790786743164,
        0.2926875352859497,
        0.29336223006248474,
        0.29521891474723816,
        0.2944754958152771,
        0.29615527391433716,
        0.2957889139652252,
        0.2948232889175415,
        0.2950676679611206,
        0.29438063502311707,
        0.2949928045272827,
        0.2971787750720978,
        0.29832035303115845,
        0.2977730929851532,
        0.2976018786430359,
        0.29748785495758057,
        0.2980319857597351,
        0.29800739884376526,
        0.29894763231277466,
        0.2989059388637543,
        0.2987440824508667,
        0.2989240884780884,
        0.2983739972114563,
        0.2984357178211212,
        0.2981966435909271,
        0.2985481917858124,
        0.29858899116516113,
        0.2985103726387024,
        0.2991657257080078,
        0.29896193742752075,
        0.2981261610984802,
        0.29886558651924133,
        0.2987479269504547,
        0.29815179109573364,
        0.2983887791633606,
        0.2989576756954193,
        0.2984321117401123,
        0.29811540246009827,
        0.2970311939716339,
        0.2968573570251465,
        0.29756826162338257,
        0.2977633774280548,
        0.2980881333351135,
        0.2982642948627472,
        0.2982962429523468,
        0.2979360818862915,
        0.2985023856163025,
        0.29762908816337585,
        0.29864591360092163,
        0.29904472827911377,
        0.2989434003829956,
        0.29896295070648193,
        0.29913049936294556,
        0.2991589903831482,
        0.2988337576389313,
        0.2988414168357849,
        0.29861927032470703,
        0.2991827726364136,
        0.2993653416633606,
        0.29944950342178345,
        0.2995114028453827,
        0.29933732748031616,
        0.2987736463546753,
        0.299339234828949,
        0.29898154735565186,
        0.29910045862197876,
        0.2991388440132141,
        0.2995036840438843,
        0.2990887761116028,
        0.29784855246543884,
        0.29740288853645325,
        0.2976911962032318,
        0.29773685336112976,
        0.2986181676387787,
        0.2979819178581238,
        0.29782769083976746,
        0.2980348467826843,
        0.29812970757484436,
        0.29833850264549255,
        0.29750460386276245,
        0.29726287722587585,
        0.29732584953308105,
        0.2978965938091278,
        0.29721489548683167,
        0.2973172664642334,
        0.29708826541900635,
        0.29768627882003784,
        0.2971492409706116,
        0.2969765365123749,
        0.29748839139938354,
        0.296660840511322,
        0.2971142828464508,
        0.2968367636203766,
        0.29678478837013245,
        0.2966221570968628,
        0.2973092496395111,
        0.29650652408599854,
        0.2978146970272064,
        0.29731613397598267,
        0.2977813482284546,
        0.29831427335739136,
        0.2986070513725281,
        0.29877588152885437,
        0.2993694841861725,
        0.2988240122795105,
        0.2994369864463806,
        0.2987094819545746,
        0.2991414964199066,
        0.2985861599445343,
        0.29853174090385437,
        0.2980972230434418,
        0.29859086871147156,
        0.2987232208251953,
        0.29897189140319824,
        0.2990700304508209,
        0.29916372895240784,
        0.2986484467983246,
        0.29987436532974243,
        0.29943352937698364,
        0.2982850670814514,
        0.2987878620624542,
        0.29912644624710083,
        0.29852941632270813,
        0.29831013083457947,
        0.29864490032196045,
        0.2989475429058075,
        0.2981390655040741,
        0.29844027757644653,
        0.2987498939037323,
        0.2985319495201111,
        0.298427939414978,
        0.2984246015548706,
        0.29879501461982727,
        0.2981661558151245,
        0.298294335603714,
        0.2986685037612915,
        0.29838740825653076,
        0.29867029190063477,
        0.29848167300224304,
        0.29844510555267334,
        0.29847702383995056,
        0.2983371913433075,
        0.29870742559432983,
        0.2982099950313568,
        0.2987089455127716,
        0.29874730110168457,
        0.29827871918678284,
        0.2980421483516693,
        0.29773426055908203,
        0.2981935739517212,
        0.2982088029384613,
        0.29886648058891296,
        0.2985353171825409,
        0.2976991534233093,
        0.2979317903518677,
        0.2977135181427002,
        0.2979148030281067,
        0.2983027398586273,
        0.2983401119709015,
        0.2975318431854248,
        0.2977008521556854,
        0.2976212799549103,
        0.2976306676864624,
        0.29722505807876587,
        0.29773303866386414,
        0.2984318137168884,
        0.2984160780906677,
        0.2983398139476776,
        0.29841887950897217,
        0.29758593440055847,
        0.29776373505592346,
        0.2978178858757019,
        0.29744330048561096,
        0.29731276631355286,
        0.29886770248413086,
        0.29832538962364197,
        0.29842880368232727,
        0.2984212338924408,
        0.29822948575019836,
        0.29801860451698303,
        0.29758748412132263,
        0.29832324385643005,
        0.29825037717819214,
        0.29782816767692566,
        0.29853737354278564,
        0.2979205846786499,
        0.2976514995098114,
        0.2972153127193451,
        0.2978876233100891,
        0.2979870140552521,
        0.29819416999816895,
        0.2977778911590576,
        0.2974398732185364,
        0.2977966368198395,
        0.29839658737182617,
        0.2983579635620117,
        0.2982810437679291,
        0.2976142168045044,
        0.298870325088501,
        0.2980786859989166,
        0.29813262820243835,
        0.2977615296840668,
        0.2978145182132721,
        0.2975897490978241,
        0.2978859543800354,
        0.29800862073898315,
        0.29813796281814575,
        0.298136442899704,
        0.2984946072101593,
        0.29752129316329956,
        0.29804494976997375,
        0.2981196939945221,
        0.2981850206851959,
        0.2984844446182251,
        0.2978702187538147,
        0.29764524102211,
        0.2988300025463104,
        0.2987372875213623,
        0.29783895611763,
        0.297853022813797,
        0.29829898476600647,
        0.29737380146980286,
        0.29804369807243347,
        0.29797911643981934,
        0.29716646671295166,
        0.2975490391254425,
        0.29790636897087097,
        0.29759714007377625,
        0.29717913269996643,
        0.2969510853290558,
        0.2966724634170532,
        0.2978340685367584,
        0.29670536518096924,
        0.2968616783618927,
        0.29669272899627686,
        0.2967177629470825,
        0.2971270978450775,
        0.2965421676635742,
        0.29606229066848755,
        0.29549935460090637,
        0.2963889241218567,
        0.29644957184791565,
        0.29616063833236694,
        0.2958780527114868,
        0.2961410582065582,
        0.297048956155777,
        0.2959492802619934,
        0.29597580432891846,
        0.2960885167121887,
        0.29589301347732544,
        0.295719712972641,
        0.29505059123039246,
        0.29363206028938293,
        0.29347869753837585,
        0.29312461614608765,
        0.2945410907268524,
        0.29521897435188293,
        0.2953415811061859,
        0.2967151999473572,
        0.29632872343063354,
        0.2974618673324585,
        0.29650455713272095,
        0.29711055755615234,
        0.2965337336063385,
        0.2965700030326843,
        0.2957652509212494,
        0.2973572313785553,
        0.2961173355579376,
        0.29581889510154724,
        0.2956303358078003,
        0.2972838580608368,
        0.2952478229999542,
        0.2930699586868286,
        0.29502373933792114,
        0.2979747951030731,
        0.2943672835826874,
        0.28113606572151184,
        0.27668893337249756,
        0.2717449367046356,
        0.2694399952888489,
        0.25634798407554626,
        0.25806018710136414,
        0.2641572654247284,
        0.25428521633148193,
        0.23012937605381012,
        0.23870885372161865,
        0.23397405445575714,
        0.24192394316196442,
        0.24542906880378723,
        0.25111740827560425,
        0.2520376741886139,
        0.253898561000824,
        0.26134395599365234,
        0.26530948281288147,
        0.26720476150512695,
        0.27045318484306335,
        0.2717076241970062,
        0.28459909558296204,
        0.28946834802627563,
        0.29444998502731323,
        0.2966077923774719,
        0.3075959086418152,
        0.30666083097457886,
        0.31153959035873413,
        0.31571248173713684,
        0.32323530316352844,
        0.32606813311576843,
        0.3352970778942108,
        0.33611440658569336,
        0.3440763056278229,
        0.34350448846817017,
        0.3459141254425049,
        0.327583909034729,
        0.3318268358707428,
        0.3155245780944824,
        0.2937934696674347,
        0.28230392932891846,
        0.2889159917831421,
        0.2843591868877411,
        0.286571741104126,
        0.2583329677581787,
        0.30039453506469727,
        0.29803696274757385,
        0.29682430624961853,
        0.29617589712142944,
        0.29646798968315125,
        0.29671117663383484,
        0.2966655492782593,
        0.29656195640563965,
        0.29659417271614075,
        0.2961651384830475,
        0.2965599000453949,
        0.29606300592422485,
        0.296286404132843,
        0.2960979640483856,
        0.2959742546081543,
        0.29538846015930176,
        0.2959440052509308,
        0.29569730162620544,
        0.29589393734931946,
        0.29582124948501587,
        0.29590559005737305,
        0.2954387068748474,
        0.29589933156967163,
        0.2960098087787628,
        0.29575154185295105,
        0.29569491744041443,
        0.2954465448856354,
        0.29563742876052856,
        0.29497775435447693,
        0.29566535353660583,
        0.2957936227321625,
        0.2956262230873108,
        0.2954155504703522,
        0.2956559360027313,
        0.2949391305446625,
        0.29536738991737366,
        0.2952483594417572,
        0.2952682375907898,
        0.2952372133731842,
        0.29514798521995544,
        0.29511240124702454,
        0.29557883739471436,
        0.29580312967300415,
        0.29551684856414795,
        0.2957717180252075,
        0.29510658979415894,
        0.2952856123447418,
        0.2952762544155121,
        0.29551056027412415,
        0.2953079342842102,
        0.2954581379890442,
        0.295413613319397,
        0.29519185423851013,
        0.29560351371765137,
        0.2952643930912018,
        0.29510241746902466,
        0.29508838057518005,
        0.294766902923584,
        0.2947942614555359,
        0.2953243553638458,
        0.29548779129981995,
        0.2956502437591553,
        0.29589712619781494,
        0.2960788607597351,
        0.2952468991279602,
        0.2957933247089386,
        0.29591771960258484,
        0.2960108518600464,
        0.2970627248287201,
        0.29647669196128845,
        0.2963351607322693,
        0.29625654220581055,
        0.29632556438446045,
        0.2958398759365082,
        0.2954823970794678,
        0.2957513928413391,
        0.2962093949317932,
        0.2965918779373169,
        0.2951080799102783,
        0.2985580861568451,
        0.2986272871494293,
        0.274112343788147,
        0.2762763202190399,
        0.2566241919994354,
        0.26575759053230286,
        0.2618662714958191,
        0.27872928977012634,
        0.28646254539489746,
        0.2975182831287384,
        0.3057163953781128,
        0.3127908408641815,
        0.3147587180137634,
        0.30463138222694397,
        0.29610899090766907,
        0.29901179671287537,
        0.3096683621406555,
        0.30501824617385864,
        0.2973394989967346,
        0.3111552894115448,
        0.2954176366329193,
        0.2895922064781189,
        0.2885652482509613,
        0.2747029960155487,
        0.27336934208869934,
        0.2577016055583954,
        0.250212699174881,
        0.25087621808052063,
        0.25203433632850647,
        0.25126075744628906,
        0.2504644989967346,
        0.2473783791065216,
        0.24426938593387604,
        0.2437882423400879,
        0.24119944870471954,
        0.23580892384052277,
        0.22960273921489716,
        0.23337994515895844,
        0.2382691204547882,
        0.24476121366024017,
        0.261285662651062,
        0.27959126234054565,
        0.28362858295440674,
        0.28811952471733093,
        0.28865545988082886,
        0.28842803835868835,
        0.2893435060977936,
        0.2861674726009369,
        0.28413254022598267,
        0.2854692339897156,
        0.28424492478370667,
        0.2853054404258728,
        0.2877810001373291,
        0.2900368273258209,
        0.28866562247276306,
        0.2876550853252411,
        0.29181888699531555,
        0.2935270369052887,
        0.29284900426864624,
        0.2928832769393921,
        0.29159051179885864,
        0.2935650944709778,
        0.2922636568546295,
        0.29111552238464355,
        0.29134464263916016,
        0.2906985878944397,
        0.29037705063819885,
        0.29026123881340027,
        0.29069438576698303,
        0.291085422039032,
        0.2920125126838684,
        0.2919405698776245,
        0.29199913144111633,
        0.292233407497406,
        0.29216885566711426,
        0.29175740480422974,
        0.2927665114402771,
        0.29255446791648865,
        0.2931872606277466,
        0.2930290400981903,
        0.29336798191070557,
        0.29400435090065,
        0.29312410950660706,
        0.2934064269065857,
        0.2940090298652649,
        0.2939789295196533,
        0.2945893704891205,
        0.2946755588054657,
        0.29483523964881897,
        0.2948802411556244,
        0.2949123680591583,
        0.29485055804252625,
        0.2934311032295227,
        0.29377639293670654,
        0.29277274012565613,
        0.29261574149131775,
        0.2928256094455719,
        0.2929351031780243,
        0.2933284640312195,
        0.2936893701553345,
        0.29401808977127075,
        0.2938765585422516,
        0.29442816972732544,
        0.29495108127593994,
        0.2945645749568939,
        0.29451873898506165,
        0.29385602474212646,
        0.2944191098213196,
        0.29427987337112427,
        0.2939874827861786,
        0.29482266306877136,
        0.29418301582336426,
        0.29479023814201355,
        0.2944682538509369,
        0.2939717769622803,
        0.29422372579574585,
        0.29450729489326477,
        0.2941226065158844,
        0.29406866431236267,
        0.294526070356369,
        0.29361268877983093,
        0.2939220070838928,
        0.29503750801086426,
        0.29461202025413513,
        0.2954391539096832,
        0.29530757665634155,
        0.29500874876976013,
        0.29500287771224976,
        0.2947355806827545,
        0.2946237325668335,
        0.2945992946624756,
        0.29430362582206726,
        0.294624000787735,
        0.29448872804641724,
        0.2947692573070526,
        0.29432010650634766,
        0.29440465569496155,
        0.294933021068573,
        0.29440000653266907,
        0.29499948024749756,
        0.2949526011943817,
        0.29488563537597656,
        0.2943911552429199,
        0.2947445213794708,
        0.2948049306869507,
        0.2947620451450348,
        0.29510435461997986,
        0.29510506987571716,
        0.29475221037864685,
        0.29476290941238403,
        0.29569748044013977,
        0.2954312860965729,
        0.2952832579612732,
        0.29540741443634033,
        0.2954327166080475,
        0.2956693172454834,
        0.2954740822315216,
        0.2956606447696686,
        0.2954920530319214,
        0.29553741216659546,
        0.2960008382797241,
        0.29673057794570923,
        0.29684650897979736,
        0.29611867666244507,
        0.2969453036785126,
        0.2966836988925934,
        0.29664507508277893,
        0.29638031125068665,
        0.29463082551956177,
        0.294972687959671,
        0.2950223982334137,
        0.29495561122894287,
        0.29432323575019836,
        0.2948761284351349,
        0.29368168115615845,
        0.2933109402656555,
        0.2929569482803345,
        0.2938275635242462,
        0.29261353611946106,
        0.29231804609298706,
        0.2915261387825012,
        0.29115965962409973,
        0.2916415333747864,
        0.2922193706035614,
        0.2945430278778076,
        0.2937009036540985,
        0.29375797510147095,
        0.29460853338241577,
        0.29307717084884644,
        0.29428747296333313,
        0.2984596788883209,
        0.296134889125824,
        0.29420292377471924,
        0.2950049638748169,
        0.29560697078704834,
        0.2953597903251648,
        0.2945469319820404,
        0.2968786954879761,
        0.29637664556503296,
        0.29476723074913025,
        0.2939370572566986,
        0.29482153058052063,
        0.2952364385128021,
        0.29605257511138916,
        0.2958592176437378,
        0.29779869318008423,
        0.2985241413116455,
        0.29985034465789795,
        0.30162617564201355,
        0.30557775497436523,
        0.30669379234313965,
        0.30729416012763977,
        0.30925434827804565,
        0.30872485041618347,
        0.30904096364974976,
        0.310524582862854,
        0.307273268699646,
        0.30721911787986755,
        0.3085249960422516,
        0.306853711605072,
        0.30163586139678955,
        0.3031991124153137,
        0.297143816947937,
        0.30026867985725403,
        0.2979234457015991,
        0.3087752163410187,
        0.3245711922645569,
        0.2645159065723419,
        0.2643933892250061,
        0.28521281480789185,
        0.2952248454093933,
        0.2980252206325531,
        0.30008506774902344,
        0.24531859159469604,
        0.23756831884384155,
        0.244575634598732,
        0.25325819849967957,
        0.2477952390909195,
        0.2513197064399719,
        0.26546716690063477,
        0.2689226567745209,
        0.2770659029483795,
        0.28813591599464417,
        0.2902604341506958,
        0.29566752910614014,
        0.31249022483825684,
        0.3151431679725647,
        0.32826754450798035,
        0.34250548481941223,
        0.3396744132041931,
        0.33861294388771057,
        0.3469241261482239,
        0.3390534818172455,
        0.33914071321487427,
        0.33731862902641296,
        0.343036413192749,
        0.3196263313293457,
        0.3518398404121399,
        0.35526272654533386,
        0.34584325551986694,
        0.31780344247817993,
        0.32247787714004517,
        0.3230443000793457,
        0.3225101828575134,
        0.2500590682029724,
        0.2879047691822052,
        0.29842957854270935,
        0.29670244455337524,
        0.2964729964733124,
        0.2964356243610382,
        0.2962641716003418,
        0.29629042744636536,
        0.29640671610832214,
        0.2967754304409027,
        0.2954787611961365,
        0.2959268093109131,
        0.2965499460697174,
        0.29608798027038574,
        0.2963819205760956,
        0.2959008812904358,
        0.2959998548030853,
        0.2964818775653839,
        0.29669636487960815,
        0.2963709235191345,
        0.29611310362815857,
        0.29627934098243713,
        0.2960090637207031,
        0.2961006164550781,
        0.29655301570892334,
        0.296724796295166,
        0.29580968618392944,
        0.2959113121032715,
        0.29638025164604187,
        0.2964293956756592,
        0.2962430417537689,
        0.29622817039489746,
        0.2961978018283844,
        0.2959442138671875,
        0.29574599862098694,
        0.29572319984436035,
        0.2958381175994873,
        0.2964254915714264,
        0.29528895020484924,
        0.2959357500076294,
        0.2965642809867859,
        0.29629266262054443,
        0.29628631472587585,
        0.2961646616458893,
        0.2958247661590576,
        0.29605260491371155,
        0.2957428991794586,
        0.29652711749076843,
        0.29592660069465637,
        0.2958090603351593,
        0.296296089887619,
        0.29671090841293335,
        0.29703813791275024,
        0.2969593405723572,
        0.2978517711162567,
        0.2974472939968109,
        0.2973584234714508,
        0.29674339294433594,
        0.29726338386535645,
        0.296393483877182,
        0.2965252995491028,
        0.29668697714805603,
        0.2958190441131592,
        0.29618844389915466,
        0.2961566150188446,
        0.2963416576385498,
        0.2961372137069702,
        0.2961394786834717,
        0.2951224446296692,
        0.2951050102710724,
        0.295284241437912,
        0.29528170824050903,
        0.29515340924263,
        0.29512420296669006,
        0.2954707741737366,
        0.29570144414901733,
        0.2919009327888489,
        0.28978613018989563,
        0.2942008376121521,
        0.29861634969711304,
        0.2948729693889618,
        0.29275110363960266,
        0.28285351395606995,
        0.2597922682762146,
        0.27347543835639954,
        0.2920018434524536,
        0.2924388647079468,
        0.29520127177238464,
        0.293504923582077,
        0.3109470009803772,
        0.3154575228691101,
        0.3215128481388092,
        0.3151877522468567,
        0.3149082064628601,
        0.2998441159725189,
        0.29411986470222473,
        0.2875404357910156,
        0.27811622619628906,
        0.27509722113609314,
        0.275603711605072,
        0.2749141454696655,
        0.27274051308631897,
        0.2675657868385315,
        0.26755470037460327,
        0.26211899518966675,
        0.2600293755531311,
        0.2523530125617981,
        0.24923527240753174,
        0.2457398772239685,
        0.2399740219116211,
        0.23750126361846924,
        0.24021103978157043,
        0.23093414306640625,
        0.23387503623962402,
        0.23310498893260956,
        0.2463342547416687,
        0.24695783853530884,
        0.25070300698280334,
        0.2518487274646759,
        0.270189106464386,
        0.2730162739753723,
        0.2812395691871643,
        0.2820087671279907,
        0.284830242395401,
        0.2859013080596924,
        0.28918200731277466,
        0.2922120690345764,
        0.29479143023490906,
        0.2951889634132385,
        0.29514050483703613,
        0.29255327582359314,
        0.29366084933280945,
        0.2934671640396118,
        0.29101303219795227,
        0.29268282651901245,
        0.2929806411266327,
        0.2937655746936798,
        0.29351964592933655,
        0.2950369417667389,
        0.2941787838935852,
        0.29522931575775146,
        0.29617753624916077,
        0.2960585355758667,
        0.2961127460002899,
        0.29543396830558777,
        0.295463889837265,
        0.2951962649822235,
        0.2954302132129669,
        0.2959851622581482,
        0.2954004406929016,
        0.29572951793670654,
        0.2954883277416229,
        0.2959705591201782,
        0.2952527701854706,
        0.2953339219093323,
        0.2951211631298065,
        0.29561689496040344,
        0.296627402305603,
        0.29604509472846985,
        0.2958499491214752,
        0.29591894149780273,
        0.2956365644931793,
        0.29635024070739746,
        0.2960100769996643,
        0.2962047755718231,
        0.296051949262619,
        0.2961415648460388,
        0.29579904675483704,
        0.2959398627281189,
        0.29602500796318054,
        0.2959255874156952,
        0.29611778259277344,
        0.29618704319000244,
        0.2960766553878784,
        0.29570677876472473,
        0.29652759432792664,
        0.2967435419559479,
        0.2972702383995056,
        0.2969132661819458,
        0.2971484959125519,
        0.296918660402298,
        0.2964814305305481,
        0.29659149050712585,
        0.2964763641357422,
        0.29632577300071716,
        0.29582950472831726,
        0.2962357699871063,
        0.2958149313926697,
        0.2961624562740326,
        0.2964962124824524,
        0.2953084111213684,
        0.29518190026283264,
        0.2954314947128296,
        0.29534754157066345,
        0.2959286868572235,
        0.2955160140991211,
        0.29617008566856384,
        0.2952021360397339,
        0.2950223684310913,
        0.29458901286125183,
        0.29443326592445374,
        0.2947685122489929,
        0.2944317162036896,
        0.29422229528427124,
        0.293862521648407,
        0.29308292269706726,
        0.2936467230319977,
        0.2925504446029663,
        0.29211705923080444,
        0.29402413964271545,
        0.29379168152809143,
        0.29346299171447754,
        0.29362449049949646,
        0.29380449652671814,
        0.29388177394866943,
        0.29394111037254333,
        0.29384979605674744,
        0.29294469952583313,
        0.2934543490409851,
        0.29291999340057373,
        0.2923421859741211,
        0.2926812171936035,
        0.2927359640598297,
        0.29303178191185,
        0.2932508885860443,
        0.2923792004585266,
        0.29278090596199036,
        0.2925581932067871,
        0.2924463450908661,
        0.2923828363418579,
        0.2926943600177765,
        0.29227057099342346,
        0.29221171140670776,
        0.29253411293029785,
        0.2923925220966339,
        0.2938011586666107,
        0.2932628095149994,
        0.2926386594772339,
        0.29300522804260254,
        0.2930505871772766,
        0.29300108551979065,
        0.2934730648994446,
        0.29312610626220703,
        0.2936110496520996,
        0.29282596707344055,
        0.2929824888706207,
        0.2927987575531006,
        0.29243800044059753,
        0.2931607961654663,
        0.29351678490638733,
        0.29318392276763916,
        0.2933122515678406,
        0.2936747372150421,
        0.29350176453590393,
        0.29311704635620117,
        0.29248353838920593,
        0.2930021584033966,
        0.29360222816467285,
        0.2931082248687744,
        0.29351285099983215,
        0.2938513457775116,
        0.2936073839664459,
        0.29372167587280273,
        0.29352760314941406,
        0.293902724981308,
        0.2943328022956848,
        0.29391175508499146,
        0.294005811214447,
        0.29351866245269775,
        0.29413196444511414,
        0.2940131425857544,
        0.2945815622806549,
        0.29446834325790405,
        0.2951599657535553,
        0.295879065990448,
        0.2955116927623749,
        0.2971682846546173,
        0.29542315006256104,
        0.2941509485244751,
        0.2951493561267853,
        0.29537850618362427,
        0.2968818247318268,
        0.29822173714637756,
        0.29707789421081543,
        0.2949499189853668,
        0.2960008978843689,
        0.29513275623321533,
        0.2937605381011963,
        0.2938152551651001,
        0.29460790753364563,
        0.29363712668418884,
        0.2932491898536682,
        0.289995402097702,
        0.2902950048446655,
        0.29113447666168213,
        0.2923976182937622,
        0.2926395535469055,
        0.29193970561027527,
        0.29113683104515076,
        0.2857474982738495,
        0.28687015175819397,
        0.28223592042922974,
        0.280143141746521,
        0.26968786120414734,
        0.27529606223106384,
        0.24026840925216675,
        0.22837820649147034,
        0.22815042734146118,
        0.2264215350151062,
        0.22714634239673615,
        0.22575582563877106,
        0.22802941501140594,
        0.23344209790229797,
        0.23838119208812714,
        0.24666951596736908,
        0.25249552726745605,
        0.2557315528392792,
        0.262131929397583,
        0.2658926844596863,
        0.27032849192619324,
        0.28160855174064636,
        0.2867763936519623,
        0.3024834096431732,
        0.30645403265953064,
        0.32180720567703247,
        0.3220416009426117,
        0.3369549810886383,
        0.3342345654964447,
        0.34461554884910583,
        0.34414398670196533,
        0.3531563878059387,
        0.3505842089653015,
        0.35705623030662537,
        0.35537222027778625,
        0.35769376158714294,
        0.35456663370132446,
        0.351618230342865,
        0.34493008255958557,
        0.3457057476043701,
        0.3302138149738312,
        0.3279377520084381,
        0.3034210801124573,
        0.2963566184043884,
        0.29674527049064636,
        0.29200685024261475,
        0.2958802282810211,
        0.2963428795337677,
        0.2980397045612335,
        0.2972026467323303,
        0.29575401544570923,
        0.2962104082107544,
        0.2955206334590912,
        0.295184463262558,
        0.2962227165699005,
        0.2955857515335083,
        0.29600241780281067,
        0.2956807613372803,
        0.2956939935684204,
        0.29533836245536804,
        0.29528987407684326,
        0.2957393527030945,
        0.29578685760498047,
        0.2958934009075165,
        0.29545754194259644,
        0.2950539290904999,
        0.2948917746543884,
        0.29500335454940796,
        0.2953963875770569,
        0.2949788570404053,
        0.29503118991851807,
        0.2953008711338043,
        0.29515939950942993,
        0.29495424032211304,
        0.29575833678245544,
        0.29565301537513733,
        0.2958166003227234,
        0.2958626449108124,
        0.2956397831439972,
        0.2954336702823639,
        0.29467660188674927,
        0.2947590947151184,
        0.29541274905204773,
        0.2948910892009735,
        0.29533904790878296,
        0.29559722542762756,
        0.2953360378742218,
        0.2963046431541443,
        0.29656359553337097,
        0.29663196206092834,
        0.2969878613948822,
        0.2975781261920929,
        0.2974759042263031,
        0.29709455370903015,
        0.2977093458175659,
        0.296257883310318,
        0.2956954538822174,
        0.2947286367416382,
        0.2952573299407959,
        0.2951830327510834,
        0.2950598895549774,
        0.29511961340904236,
        0.295221745967865,
        0.29502496123313904,
        0.2960629463195801,
        0.2987794578075409,
        0.2992841899394989,
        0.27951377630233765,
        0.28681010007858276,
        0.2850237190723419,
        0.2780115306377411,
        0.28789690136909485,
        0.30431386828422546,
        0.3100750744342804,
        0.31477707624435425,
        0.31242790818214417,
        0.3105315566062927,
        0.3147849440574646,
        0.3125307559967041,
        0.31403952836990356,
        0.308015376329422,
        0.2986066937446594,
        0.29236412048339844,
        0.28856539726257324,
        0.29488450288772583,
        0.2909960448741913,
        0.2861652076244354,
        0.27329277992248535,
        0.2743590772151947,
        0.26424044370651245,
        0.2669534981250763,
        0.26200786232948303,
        0.26176178455352783,
        0.25551557540893555,
        0.2564726769924164,
        0.2549559473991394,
        0.2561505138874054,
        0.24638372659683228,
        0.23899659514427185,
        0.23407858610153198,
        0.23253008723258972,
        0.24466077983379364,
        0.2564963102340698,
        0.2521830201148987,
        0.29719385504722595,
        0.2953800559043884,
        0.290425181388855,
        0.2915493845939636,
        0.2913878858089447,
        0.29180625081062317,
        0.29437363147735596,
        0.29314932227134705,
        0.2980118989944458,
        0.2973722219467163,
        0.2965373992919922,
        0.2951374351978302,
        0.29473012685775757,
        0.2964595854282379,
        0.2942124605178833,
        0.2963135242462158,
        0.29736441373825073,
        0.29844921827316284,
        0.298396497964859,
        0.29849475622177124,
        0.2976406514644623,
        0.2987034320831299,
        0.2966068983078003,
        0.2960268259048462,
        0.29501622915267944,
        0.2954864203929901,
        0.2949977219104767,
        0.2942879796028137,
        0.2949471175670624,
        0.2952671945095062,
        0.2953832447528839,
        0.2953907251358032,
        0.29577794671058655,
        0.29576513171195984,
        0.29495853185653687,
        0.2951402962207794,
        0.2952147424221039,
        0.29462432861328125,
        0.2952755093574524,
        0.2949478030204773,
        0.2961496114730835,
        0.29521068930625916,
        0.2954752743244171,
        0.2949199378490448,
        0.295174241065979,
        0.2948249876499176,
        0.29447779059410095,
        0.2944762408733368,
        0.29430651664733887,
        0.2947554290294647,
        0.29364344477653503,
        0.2937224209308624,
        0.2935801148414612,
        0.29385852813720703,
        0.2941717207431793,
        0.2942667007446289,
        0.29431506991386414,
        0.29398664832115173,
        0.2935839295387268,
        0.29461470246315,
        0.29423072934150696,
        0.29479148983955383,
        0.29433003067970276,
        0.29402732849121094,
        0.29378241300582886,
        0.2941012680530548,
        0.2947739064693451,
        0.294617623090744,
        0.29468899965286255,
        0.29428455233573914,
        0.29438796639442444,
        0.29413989186286926,
        0.2941945195198059,
        0.29430025815963745,
        0.2942838668823242,
        0.29396548867225647,
        0.2946051061153412,
        0.29399630427360535,
        0.29417794942855835,
        0.2935708165168762,
        0.29400965571403503,
        0.2942276895046234,
        0.29411324858665466,
        0.2934373915195465,
        0.29371413588523865,
        0.2938443422317505,
        0.29388028383255005,
        0.29378706216812134,
        0.29363009333610535,
        0.2937416732311249,
        0.29427215456962585,
        0.2945256531238556,
        0.2936733067035675,
        0.2943926751613617,
        0.29414448142051697,
        0.29456156492233276,
        0.29423317313194275,
        0.29406049847602844,
        0.29447853565216064,
        0.29450568556785583,
        0.2937772572040558,
        0.29423126578330994,
        0.29378366470336914,
        0.29434674978256226,
        0.29409924149513245,
        0.2934243083000183,
        0.2934444844722748,
        0.293589323759079,
        0.29367169737815857,
        0.2938336431980133,
        0.29413703083992004,
        0.2943020462989807,
        0.29364097118377686,
        0.29350313544273376,
        0.2944453954696655,
        0.2940600514411926,
        0.293802946805954,
        0.29346197843551636,
        0.29403460025787354,
        0.293681263923645,
        0.29365554451942444,
        0.2934873700141907,
        0.2941614091396332,
        0.29439374804496765,
        0.293676495552063,
        0.29360711574554443,
        0.2944049537181854,
        0.2933571934700012,
        0.29382723569869995,
        0.2936927080154419,
        0.2939513325691223,
        0.29431289434432983,
        0.29390856623649597,
        0.2941449284553528,
        0.2939252555370331,
        0.2939409911632538,
        0.29307886958122253,
        0.29410213232040405,
        0.29400232434272766,
        0.2925431430339813,
        0.2934439480304718,
        0.293372243642807,
        0.2937813103199005,
        0.29299160838127136,
        0.29318225383758545,
        0.2936551868915558,
        0.29319095611572266,
        0.29357782006263733,
        0.29344984889030457,
        0.29361921548843384,
        0.29367056488990784,
        0.2935197651386261,
        0.29346829652786255,
        0.2934265732765198,
        0.2939300239086151,
        0.29375138878822327,
        0.2938688397407532,
        0.29382824897766113,
        0.29362329840660095,
        0.2938235104084015,
        0.2937087118625641,
        0.2939145267009735,
        0.2942795157432556,
        0.29322344064712524,
        0.29366880655288696,
        0.2931440472602844,
        0.2939654290676117,
        0.2935245931148529,
        0.29370182752609253,
        0.29381853342056274,
        0.2937406599521637,
        0.29435572028160095,
        0.2938310205936432,
        0.2936243414878845,
        0.2933160066604614,
        0.2933539152145386,
        0.2934560775756836,
        0.2933349609375,
        0.29341232776641846,
        0.2940288782119751,
        0.29359468817710876,
        0.29344043135643005,
        0.29357874393463135,
        0.29410025477409363,
        0.29348382353782654,
        0.29350316524505615,
        0.2939733862876892,
        0.2934390604496002,
        0.2935783565044403,
        0.29397544264793396,
        0.2933201491832733,
        0.29363882541656494,
        0.29424455761909485,
        0.29340118169784546,
        0.29375898838043213,
        0.29375267028808594,
        0.2932713031768799,
        0.2939448356628418,
        0.2935810685157776,
        0.29329991340637207,
        0.29271629452705383,
        0.29286959767341614,
        0.29435721039772034,
        0.2941077947616577,
        0.29340776801109314,
        0.2937788963317871,
        0.29393288493156433,
        0.29357248544692993,
        0.293363094329834,
        0.2936170995235443,
        0.29403775930404663,
        0.29410800337791443,
        0.29417145252227783,
        0.29341650009155273,
        0.29386600852012634,
        0.2937040627002716,
        0.29349926114082336,
        0.2939605116844177,
        0.293740838766098,
        0.2939307987689972,
        0.2931181490421295,
        0.29348814487457275,
        0.29347920417785645,
        0.29361993074417114,
        0.29308003187179565,
        0.293307363986969,
        0.2934817671775818,
        0.2934452295303345,
        0.2937279939651489,
        0.2931169271469116,
        0.2941932678222656,
        0.29389041662216187,
        0.2936374843120575,
        0.29314669966697693,
        0.293710857629776,
        0.2936308979988098,
        0.2939743399620056,
        0.2935697138309479,
        0.29394030570983887,
        0.2937659025192261,
        0.2940388023853302,
        0.29332664608955383,
        0.29409196972846985,
        0.2932998538017273,
        0.29384803771972656,
        0.293429434299469,
        0.2947820723056793,
        0.2952548563480377,
        0.2946169674396515,
        0.294916570186615,
        0.2957284152507782,
        0.29622483253479004,
        0.2967431843280792,
        0.29502490162849426,
        0.29467669129371643,
        0.2951260507106781,
        0.29273003339767456,
        0.29170843958854675,
        0.2914055287837982,
        0.29248782992362976,
        0.2932182848453522,
        0.29580098390579224,
        0.29614388942718506,
        0.29591163992881775,
        0.2982340157032013,
        0.29880383610725403,
        0.2988300919532776,
        0.2994100749492645,
        0.30025628209114075,
        0.3028295338153839,
        0.3022485375404358,
        0.301252543926239,
        0.30349311232566833,
        0.30442169308662415,
        0.3067462742328644,
        0.3017950654029846,
        0.3013807535171509,
        0.2943686544895172,
        0.2962372601032257,
        0.30455681681632996,
        0.29840055108070374,
        0.29570358991622925,
        0.286586731672287,
        0.27344465255737305,
        0.2738579213619232,
        0.28243228793144226,
        0.2780666947364807,
        0.2721424698829651,
        0.2837429940700531,
        0.274545282125473,
        0.26228347420692444,
        0.27336084842681885,
        0.284413605928421,
        0.2978447675704956,
        0.27572569251060486,
        0.292043536901474,
        0.2984711527824402,
        0.3176453411579132,
        0.3233487904071808,
        0.3388005793094635,
        0.3419777750968933,
        0.36202821135520935,
        0.3710225522518158,
        0.37688979506492615,
        0.37570926547050476,
        0.3814699351787567,
        0.38620901107788086,
        0.3921695053577423,
        0.38864997029304504,
        0.3884943425655365,
        0.38501328229904175,
        0.38380610942840576,
        0.38073208928108215,
        0.3897450566291809,
        0.36613887548446655,
        0.3842002749443054,
        0.35505956411361694,
        0.35211339592933655,
        0.3131021559238434,
        0.304916113615036,
        0.2842073142528534,
        0.2950190603733063,
        0.29560816287994385,
        0.297725111246109,
        0.2965560853481293,
        0.2979291081428528,
        0.2977432608604431,
        0.29564282298088074,
        0.2956734597682953,
        0.29534438252449036,
        0.29538825154304504,
        0.2955198585987091,
        0.29610762000083923,
        0.296113520860672,
        0.2959880530834198,
        0.29618385434150696,
        0.29646408557891846,
        0.29646769165992737,
        0.29620203375816345,
        0.29650208353996277,
        0.2959091365337372,
        0.2960790991783142,
        0.2958044707775116,
        0.2961950898170471,
        0.2957024574279785,
        0.2965802252292633,
        0.29692429304122925,
        0.2967158257961273,
        0.29656293988227844,
        0.2968621551990509,
        0.29699066281318665,
        0.29655975103378296,
        0.29585906863212585,
        0.2958718240261078,
        0.2960466146469116,
        0.2958941161632538,
        0.2961099445819855,
        0.2957708537578583,
        0.2957421541213989,
        0.29564446210861206,
        0.29556113481521606,
        0.295893132686615,
        0.2957862317562103,
        0.29534101486206055,
        0.29574310779571533,
        0.2950803339481354,
        0.2955661118030548,
        0.2952022850513458,
        0.2995070815086365,
        0.29569098353385925,
        0.29334545135498047,
        0.2836834788322449,
        0.2793176770210266,
        0.29453179240226746,
        0.30056247115135193,
        0.31212490797042847,
        0.32154858112335205,
        0.3039986789226532,
        0.3112322688102722,
        0.32253238558769226,
        0.3136287033557892,
        0.31175076961517334,
        0.3016810715198517,
        0.2993370294570923,
        0.31712639331817627,
        0.3042488098144531,
        0.3025372624397278,
        0.3049560785293579,
        0.2965305745601654,
        0.29740461707115173,
        0.29586881399154663,
        0.2932954728603363,
        0.28487056493759155,
        0.28591614961624146,
        0.28206902742385864,
        0.2777007222175598,
        0.2669471502304077,
        0.2655773460865021,
        0.26116615533828735,
        0.2518695592880249,
        0.2524469494819641,
        0.26479873061180115,
        0.2864295542240143,
        0.29709044098854065,
        0.30206605792045593,
        0.299319326877594,
        0.3046366274356842,
        0.31078675389289856,
        0.3068258762359619,
        0.3076809346675873,
        0.3080595135688782,
        0.30602574348449707,
        0.3062070906162262,
        0.30434900522232056,
        0.3040558993816376,
        0.3037540018558502,
        0.30428346991539,
        0.30353400111198425,
        0.3014504015445709,
        0.301247239112854,
        0.30038005113601685,
        0.29929298162460327,
        0.2988020181655884,
        0.29780787229537964,
        0.2971334755420685,
        0.2965804934501648,
        0.29630741477012634,
        0.29619723558425903,
        0.29559260606765747,
        0.2961089015007019,
        0.29497185349464417,
        0.295554518699646,
        0.29590532183647156,
        0.29665297269821167,
        0.29632118344306946,
        0.2972159683704376,
        0.29659634828567505,
        0.29671743512153625,
        0.29649171233177185,
        0.2969508767127991,
        0.2960144877433777,
        0.2961580157279968,
        0.2962315082550049,
        0.2959144115447998,
        0.2960250675678253,
        0.2963973879814148,
        0.2968295216560364,
        0.2964150309562683,
        0.29657936096191406,
        0.29669106006622314,
        0.29656097292900085,
        0.29675009846687317,
        0.29665589332580566,
        0.2973635196685791,
        0.2965969145298004,
        0.2969343364238739,
        0.2965412139892578,
        0.29725804924964905,
        0.29697877168655396,
        0.29688000679016113,
        0.2970260679721832,
        0.29650789499282837,
        0.29644641280174255,
        0.2965613305568695,
        0.29691216349601746,
        0.29666635394096375,
        0.29676997661590576,
        0.297011137008667,
        0.2968832552433014,
        0.29715293645858765,
        0.2969978451728821,
        0.29743680357933044,
        0.29721739888191223,
        0.2971104085445404,
        0.2969244420528412,
        0.2972654402256012,
        0.29720646142959595,
        0.2965112626552582,
        0.29722270369529724,
        0.2973124384880066,
        0.2969478964805603,
        0.2963733375072479,
        0.2968072295188904,
        0.2967354655265808,
        0.2958837151527405,
        0.2961662709712982,
        0.2955073118209839,
        0.29602429270744324,
        0.29584190249443054,
        0.2959524989128113,
        0.29554039239883423,
        0.2946818768978119,
        0.29551079869270325,
        0.29556432366371155,
        0.295555055141449,
        0.295111745595932,
        0.29535970091819763,
        0.29536959528923035,
        0.29554957151412964,
        0.2948320508003235,
        0.29562267661094666,
        0.2954457104206085,
        0.29534873366355896,
        0.29553893208503723,
        0.29558852314949036,
        0.295371949672699,
        0.2956102192401886,
        0.2956004738807678,
        0.2954280972480774,
        0.29607149958610535,
        0.29615020751953125,
        0.29511380195617676,
        0.2950223684310913,
        0.2953740954399109,
        0.29523634910583496,
        0.29531562328338623,
        0.2958209812641144,
        0.29520103335380554,
        0.29565632343292236,
        0.2953173816204071,
        0.2952706813812256,
        0.2955850064754486,
        0.29550573229789734,
        0.29511013627052307,
        0.2952868342399597,
        0.29572319984436035,
        0.295681893825531,
        0.2962000072002411,
        0.29574280977249146,
        0.2951004207134247,
        0.29569533467292786,
        0.295722097158432,
        0.2950436472892761,
        0.294943243265152,
        0.2947699725627899,
        0.2946150004863739,
        0.2947503626346588,
        0.2938125431537628,
        0.29380691051483154,
        0.29339462518692017,
        0.2936420142650604,
        0.2941765785217285,
        0.29363882541656494,
        0.2956869304180145,
        0.2952790856361389,
        0.2973135709762573,
        0.29818400740623474,
        0.29852408170700073,
        0.2981727719306946,
        0.29812416434288025,
        0.29945647716522217,
        0.2979569733142853,
        0.2980790138244629,
        0.296686589717865,
        0.2978074550628662,
        0.29775768518447876,
        0.29609084129333496,
        0.29993435740470886,
        0.30067941546440125,
        0.3019252419471741,
        0.3038712739944458,
        0.30782291293144226,
        0.30467644333839417,
        0.30625009536743164,
        0.3076919615268707,
        0.30781814455986023,
        0.30760639905929565,
        0.30720704793930054,
        0.29660847783088684,
        0.30268579721450806,
        0.30883073806762695,
        0.31495657563209534,
        0.31895342469215393,
        0.3174619674682617,
        0.3191812336444855,
        0.32237425446510315,
        0.3219353258609772,
        0.32722291350364685,
        0.33055081963539124,
        0.3330751657485962,
        0.33881875872612,
        0.3393475115299225,
        0.3503880500793457,
        0.340415894985199,
        0.3603643774986267,
        0.35946983098983765,
        0.3677295744419098,
        0.3870231509208679,
        0.3809072971343994,
        0.34508877992630005,
        0.3533318340778351,
        0.3346515893936157,
        0.3252609372138977,
        0.3330024778842926,
        0.35237258672714233,
        0.37084344029426575,
        0.3853198289871216,
        0.39317137002944946,
        0.42050182819366455,
        0.425767719745636,
        0.4388909637928009,
        0.419771283864975,
        0.41865402460098267,
        0.4241407513618469,
        0.4195132851600647,
        0.4088190495967865,
        0.38141342997550964,
        0.38364309072494507,
        0.35996687412261963,
        0.3465368449687958,
        0.37389054894447327,
        0.3220917284488678,
        0.3235911726951599,
        0.3316664397716522,
        0.3391689956188202,
        0.3420308530330658,
        0.32915911078453064,
        0.31886711716651917,
        0.3022555410861969,
        0.309966117143631,
        0.30074402689933777,
        0.29364269971847534,
        0.3282643258571625,
        0.27519282698631287,
        0.2945988178253174,
        0.2956293225288391,
        0.29514482617378235,
        0.2953034043312073,
        0.29523101449012756,
        0.29517126083374023,
        0.2949339747428894,
        0.2952190935611725,
        0.29547369480133057,
        0.2956477403640747,
        0.2965758144855499,
        0.29655060172080994,
        0.296480268239975,
        0.2965809106826782,
        0.2965035140514374,
        0.2970302402973175,
        0.29685914516448975,
        0.29710128903388977,
        0.29674437642097473,
        0.2967642545700073,
        0.296853244304657,
        0.295601487159729,
        0.2978551685810089,
        0.29769325256347656,
        0.2946138381958008,
        0.29804033041000366,
        0.25947824120521545,
        0.28277119994163513,
        0.2653176486492157,
        0.33455586433410645,
        0.3024957776069641,
        0.3352287709712982,
        0.3311871588230133,
        0.32720375061035156,
        0.32293999195098877,
        0.3147721290588379,
        0.31833603978157043,
        0.32368600368499756,
        0.3186095058917999,
        0.3212231397628784,
        0.3233824372291565,
        0.3249087929725647,
        0.3179902732372284,
        0.32114267349243164,
        0.3214679956436157,
        0.31492647528648376,
        0.30990171432495117,
        0.3077589273452759,
        0.30828559398651123,
        0.31037044525146484,
        0.3050084114074707,
        0.30604028701782227,
        0.2985265552997589,
        0.30201929807662964,
        0.29232707619667053,
        0.2910871207714081,
        0.2850601375102997,
        0.28454792499542236,
        0.27893513441085815,
        0.2811697721481323,
        0.2790209949016571,
        0.27673736214637756,
        0.2716720402240753,
        0.2667713761329651,
        0.25739073753356934,
        0.2540897727012634,
        0.24758762121200562,
        0.24574406445026398,
        0.2590678334236145,
        0.2630789279937744,
        0.2685401737689972,
        0.300953209400177,
        0.295900821685791,
        0.3018166720867157,
        0.31024229526519775,
        0.31267768144607544,
        0.31458550691604614,
        0.3118216395378113,
        0.3116118609905243,
        0.31147029995918274,
        0.3100363314151764,
        0.30910298228263855,
        0.3088659942150116,
        0.3075213134288788,
        0.30769774317741394,
        0.30614498257637024,
        0.3043103814125061,
        0.3029986023902893,
        0.3024159371852875,
        0.2996622622013092,
        0.30004364252090454,
        0.2985060513019562,
        0.2982662320137024,
        0.2975699305534363,
        0.296590656042099,
        0.2967887818813324,
        0.2970903217792511,
        0.2964078485965729,
        0.2968762516975403,
        0.2965092062950134,
        0.29636698961257935,
        0.29618531465530396,
        0.2967725396156311,
        0.29598933458328247,
        0.2960769236087799,
        0.2956651449203491,
        0.29489362239837646,
        0.29532796144485474,
        0.295423299074173,
        0.29597368836402893,
        0.29624736309051514,
        0.29545843601226807,
        0.2954540550708771,
        0.29627811908721924,
        0.29680830240249634,
        0.2957559823989868,
        0.29569873213768005,
        0.2959461808204651,
        0.29539233446121216,
        0.295680969953537,
        0.29602551460266113,
        0.29615074396133423,
        0.2962533235549927,
        0.295958548784256,
        0.2960059344768524,
        0.29683440923690796,
        0.2962535321712494,
        0.29705941677093506,
        0.29669031500816345,
        0.2959998548030853,
        0.2958988845348358,
        0.2964286804199219,
        0.29655638337135315,
        0.2965776026248932,
        0.2968273162841797,
        0.2971181869506836,
        0.29753753542900085,
        0.29702991247177124,
        0.2970564663410187,
        0.29781267046928406,
        0.2975512146949768,
        0.2967609167098999,
        0.29697322845458984,
        0.2975885272026062,
        0.2970438301563263,
        0.2974105477333069,
        0.2975599467754364,
        0.2980513274669647,
        0.29763731360435486,
        0.2974608242511749,
        0.29739299416542053,
        0.29717910289764404,
        0.2972487211227417,
        0.2969217598438263,
        0.2968289256095886,
        0.29712554812431335,
        0.2982158958911896,
        0.297853022813797,
        0.2973998785018921,
        0.2975349724292755,
        0.2976295053958893,
        0.2975669503211975,
        0.29749998450279236,
        0.297788143157959,
        0.29752543568611145,
        0.2978428900241852,
        0.2976246774196625,
        0.2979154884815216,
        0.2980516850948334,
        0.2980634272098541,
        0.29769134521484375,
        0.2978021800518036,
        0.29808908700942993,
        0.2982023060321808,
        0.2972005009651184,
        0.2968238592147827,
        0.2974301874637604,
        0.2971770465373993,
        0.2971576154232025,
        0.2969101369380951,
        0.29796144366264343,
        0.29738476872444153,
        0.2971918284893036,
        0.2978006601333618,
        0.2976876199245453,
        0.2969769835472107,
        0.2968718707561493,
        0.29770877957344055,
        0.29764264822006226,
        0.29717183113098145,
        0.297353059053421,
        0.2974066138267517,
        0.29655978083610535,
        0.2973501980304718,
        0.29774439334869385,
        0.29737237095832825,
        0.2976715564727783,
        0.30037301778793335,
        0.3000265955924988,
        0.3001228868961334,
        0.30023568868637085,
        0.30095574259757996,
        0.3003247082233429,
        0.2995304465293884,
        0.29852017760276794,
        0.2985994219779968,
        0.29851222038269043,
        0.29878753423690796,
        0.30151045322418213,
        0.30663442611694336,
        0.3093193471431732,
        0.30552437901496887,
        0.30717983841896057,
        0.3108106851577759,
        0.3113803267478943,
        0.31538963317871094,
        0.3061162531375885,
        0.31266921758651733,
        0.30202269554138184,
        0.29601287841796875,
        0.2966071367263794,
        0.3146004378795624,
        0.3174996078014374,
        0.31175369024276733,
        0.31570354104042053,
        0.32713839411735535,
        0.3288566470146179,
        0.3320201635360718,
        0.3343258500099182,
        0.33785709738731384,
        0.34785589575767517,
        0.35706210136413574,
        0.36000585556030273,
        0.36167243123054504,
        0.36268350481987,
        0.37932369112968445,
        0.3847905397415161,
        0.3845633566379547,
        0.33884546160697937,
        0.36756208539009094,
        0.3605157434940338,
        0.3233133554458618,
        0.3571942150592804,
        0.38419389724731445,
        0.368951678276062,
        0.35895365476608276,
        0.39001917839050293,
        0.39387309551239014,
        0.421204537153244,
        0.41815903782844543,
        0.4262092113494873,
        0.4294705092906952,
        0.43881773948669434,
        0.42825642228126526,
        0.41173556447029114,
        0.39407429099082947,
        0.39060473442077637,
        0.36897099018096924,
        0.3632236123085022,
        0.35221993923187256,
        0.34735190868377686,
        0.33269497752189636,
        0.33103975653648376,
        0.33114099502563477,
        0.33439838886260986,
        0.32890981435775757,
        0.32495036721229553,
        0.30273500084877014,
        0.30197393894195557,
        0.28409796953201294,
        0.294133722782135,
        0.2675624191761017,
        0.29442617297172546,
        0.2954174876213074,
        0.29563722014427185,
        0.29520201683044434,
        0.29568350315093994,
        0.29483434557914734,
        0.29546162486076355,
        0.2951681613922119,
        0.29509612917900085,
        0.29543912410736084,
        0.29514333605766296,
        0.2954031229019165,
        0.29491275548934937,
        0.29518020153045654,
        0.29519692063331604,
        0.2951256334781647,
        0.2954854965209961,
        0.29553255438804626,
        0.29505977034568787,
        0.29538121819496155,
        0.295674204826355,
        0.2954068183898926,
        0.29558393359184265,
        0.29612722992897034,
        0.2961759567260742,
        0.29580262303352356,
        0.296099454164505,
        0.29593130946159363,
        0.2962518036365509,
        0.29719167947769165,
        0.29576030373573303,
        0.2946472465991974,
        0.297682523727417,
        0.2779012620449066,
        0.24539121985435486,
        0.26545292139053345,
        0.24427580833435059,
        0.2713864743709564,
        0.2961809039115906,
        0.3135503828525543,
        0.3062358498573303,
        0.30333465337753296,
        0.29779255390167236,
        0.3043438196182251,
        0.3036169707775116,
        0.3072372376918793,
        0.3132028579711914,
        0.3196573853492737,
        0.30689021944999695,
        0.2925399839878082,
        0.29745373129844666,
        0.3024097681045532,
        0.29757484793663025,
        0.29937586188316345,
        0.2946449816226959,
        0.2955189347267151,
        0.28616631031036377,
        0.28481578826904297,
        0.28417250514030457,
        0.27888062596321106,
        0.27418747544288635,
        0.27143386006355286,
        0.2620637118816376,
        0.2619672119617462,
        0.25354403257369995,
        0.2497822642326355,
        0.2454979419708252,
        0.2489531934261322,
        0.24759027361869812,
        0.30598166584968567,
        0.2991679608821869,
        0.29315876960754395,
        0.3065468966960907,
        0.30636703968048096,
        0.30855435132980347,
        0.3132840394973755,
        0.3134904205799103,
        0.3088485896587372,
        0.30996862053871155,
        0.30820342898368835,
        0.31015583872795105,
        0.31020694971084595,
        0.30723196268081665,
        0.30535075068473816,
        0.30452799797058105,
        0.3036850094795227,
        0.30316922068595886,
        0.302270770072937,
        0.30124402046203613,
        0.29996228218078613,
        0.2998347580432892,
        0.2996439039707184,
        0.2986387312412262,
        0.2980812191963196,
        0.2982863783836365,
        0.2983732223510742,
        0.29838675260543823,
        0.29804712533950806,
        0.29785844683647156,
        0.29761627316474915,
        0.29754704236984253,
        0.29775509238243103,
        0.2980985641479492,
        0.29772111773490906,
        0.29699453711509705,
        0.2956019937992096,
        0.29589489102363586,
        0.2956066131591797,
        0.29557523131370544,
        0.2962299883365631,
        0.2960958182811737,
        0.2964376211166382,
        0.29630884528160095,
        0.29611441493034363,
        0.29609185457229614,
        0.2962515652179718,
        0.29636022448539734,
        0.29631102085113525,
        0.2965427041053772,
        0.2972791790962219,
        0.296748548746109,
        0.2956015467643738,
        0.2955818176269531,
        0.2963191568851471,
        0.29641926288604736,
        0.2965621054172516,
        0.29625922441482544,
        0.2964344322681427,
        0.29657182097435,
        0.2963045835494995,
        0.29649898409843445,
        0.29638829827308655,
        0.2969849705696106,
        0.29696184396743774,
        0.29651057720184326,
        0.2970147728919983,
        0.2971031069755554,
        0.2970569133758545,
        0.29701513051986694,
        0.2969549894332886,
        0.2963419556617737,
        0.2967393696308136,
        0.29693570733070374,
        0.2966585159301758,
        0.29647862911224365,
        0.29684075713157654,
        0.296938419342041,
        0.29689860343933105,
        0.2966965138912201,
        0.2964457869529724,
        0.2959460914134979,
        0.2958715856075287,
        0.2960197627544403,
        0.2958144545555115,
        0.2954939901828766,
        0.295257568359375,
        0.29517415165901184,
        0.29475951194763184,
        0.29469791054725647,
        0.29459118843078613,
        0.2954314947128296,
        0.29613521695137024,
        0.29556286334991455,
        0.29608353972435,
        0.29552504420280457,
        0.2954293489456177,
        0.296379953622818,
        0.29596197605133057,
        0.2962489426136017,
        0.29592862725257874,
        0.29610100388526917,
        0.2958415448665619,
        0.2957485318183899,
        0.295912504196167,
        0.2956472635269165,
        0.2964252829551697,
        0.29596665501594543,
        0.29571545124053955,
        0.2954614758491516,
        0.295684278011322,
        0.2952272891998291,
        0.29578304290771484,
        0.2955198585987091,
        0.29535502195358276,
        0.2955376207828522,
        0.2947385907173157,
        0.29464831948280334,
        0.29417699575424194,
        0.2943499684333801,
        0.2952273190021515,
        0.295425146818161,
        0.29500097036361694,
        0.2949008643627167,
        0.295337975025177,
        0.2952345907688141,
        0.2948983311653137,
        0.2942233979701996,
        0.29454305768013,
        0.2953808009624481,
        0.29484033584594727,
        0.2948082983493805,
        0.29450052976608276,
        0.2948955297470093,
        0.29454028606414795,
        0.29435011744499207,
        0.2943580150604248,
        0.2945268154144287,
        0.29432412981987,
        0.29430314898490906,
        0.29448094964027405,
        0.2944492697715759,
        0.2946346700191498,
        0.2949243485927582,
        0.29430922865867615,
        0.29492804408073425,
        0.295020192861557,
        0.29477837681770325,
        0.2944139838218689,
        0.29500970244407654,
        0.2949608862400055,
        0.2956995368003845,
        0.29565852880477905,
        0.29598480463027954,
        0.295401006937027,
        0.2962237298488617,
        0.296340674161911,
        0.29710879921913147,
        0.2952702045440674,
        0.2953852117061615,
        0.29602497816085815,
        0.29673871397972107,
        0.2973862886428833,
        0.2966362535953522,
        0.29880088567733765,
        0.29919469356536865,
        0.3000921607017517,
        0.2995487153530121,
        0.2984166145324707,
        0.29792919754981995,
        0.29713767766952515,
        0.2954466938972473,
        0.29564592242240906,
        0.2989387512207031,
        0.29925891757011414,
        0.299312025308609,
        0.3008377254009247,
        0.30306294560432434,
        0.30505314469337463,
        0.3031821846961975,
        0.30289003252983093,
        0.30116501450538635,
        0.29877790808677673,
        0.2995939552783966,
        0.2959412634372711,
        0.29725733399391174,
        0.2972925305366516,
        0.3017319440841675,
        0.3041855990886688,
        0.30422624945640564,
        0.30769941210746765,
        0.3082135319709778,
        0.30775272846221924,
        0.31489455699920654,
        0.3108201324939728,
        0.29832327365875244,
        0.2994804382324219,
        0.2962847650051117,
        0.30313462018966675,
        0.3068024218082428,
        0.2971125841140747,
        0.3056892156600952,
        0.2873348295688629,
        0.28354084491729736,
        0.2931498885154724,
        0.3002896308898926,
        0.3093351423740387,
        0.3238893747329712,
        0.3311547636985779,
        0.3478006422519684,
        0.352531760931015,
        0.3671645224094391,
        0.3722047209739685,
        0.3806053698062897,
        0.3830573558807373,
        0.4004005789756775,
        0.38591888546943665,
        0.38924482464790344,
        0.38227149844169617,
        0.3711545169353485,
        0.35948002338409424,
        0.35553666949272156,
        0.3276134431362152,
        0.3304455578327179,
        0.31837743520736694,
        0.3068581521511078,
        0.29598328471183777,
        0.29638850688934326,
        0.2965199947357178,
        0.2967384159564972,
        0.29601696133613586,
        0.29578641057014465,
        0.2961762249469757,
        0.29592835903167725,
        0.2965545356273651,
        0.2961486577987671,
        0.2963658571243286,
        0.29680031538009644,
        0.2970559298992157,
        0.29646995663642883,
        0.29649215936660767,
        0.2966444790363312,
        0.2966773509979248,
        0.2963674068450928,
        0.2967260181903839,
        0.29577088356018066,
        0.2962624430656433,
        0.29633453488349915,
        0.2961922585964203,
        0.2953629195690155,
        0.29510921239852905,
        0.2950666844844818,
        0.2952512800693512,
        0.29533830285072327,
        0.2954936623573303,
        0.29538393020629883,
        0.2955022156238556,
        0.2953885793685913,
        0.2956322729587555,
        0.2951357364654541,
        0.2947710454463959,
        0.2958008944988251,
        0.295411080121994,
        0.2954406440258026,
        0.29514411091804504,
        0.2953965961933136,
        0.2952996790409088,
        0.2956562936306,
        0.29559415578842163,
        0.2954154312610626,
        0.2953946888446808,
        0.29533979296684265,
        0.2952309548854828,
        0.29518890380859375,
        0.2957056164741516,
        0.2959044873714447,
        0.2961428165435791,
        0.2959207594394684,
        0.29605236649513245,
        0.2964387834072113,
        0.2969340682029724,
        0.296552836894989,
        0.29633617401123047,
        0.296771764755249,
        0.293881356716156,
        0.2917637825012207,
        0.30016231536865234,
        0.2920311987400055,
        0.28813764452934265,
        0.2932191491127014,
        0.2934721112251282,
        0.2676185667514801,
        0.2527312934398651,
        0.2658346891403198,
        0.27652913331985474,
        0.2995295822620392,
        0.29682233929634094,
        0.2791907787322998,
        0.31500935554504395,
        0.31409668922424316,
        0.310987651348114,
        0.30577903985977173,
        0.29997316002845764,
        0.2847162187099457,
        0.277987003326416,
        0.27248916029930115,
        0.2743220925331116,
        0.2730546295642853,
        0.2722921669483185,
        0.26831474900245667,
        0.2657940685749054,
        0.26295387744903564,
        0.26092466711997986,
        0.25995564460754395,
        0.2527029514312744,
        0.2565346658229828,
        0.27722862362861633,
        0.2751469910144806,
        0.27204251289367676,
        0.2778054177761078,
        0.28689906001091003,
        0.2902452349662781,
        0.2917559742927551,
        0.2850239872932434,
        0.2909216284751892,
        0.29298028349876404,
        0.30064597725868225,
        0.2996382415294647,
        0.2998042106628418,
        0.30335533618927,
        0.30493974685668945,
        0.30425363779067993,
        0.2990845739841461,
        0.29702872037887573,
        0.2994398772716522,
        0.29896748065948486,
        0.29657819867134094,
        0.29550328850746155,
        0.2963130474090576,
        0.296558678150177,
        0.2964240312576294,
        0.2970599830150604,
        0.2971031367778778,
        0.2984749674797058,
        0.2967132329940796,
        0.296280175447464,
        0.2959732115268707,
        0.2959807515144348,
        0.2966950833797455,
        0.2958667278289795,
        0.29629072546958923,
        0.2960825264453888,
        0.2958741784095764,
        0.2962593734264374,
        0.29609185457229614,
        0.2954419255256653,
        0.29509425163269043,
        0.29504382610321045,
        0.29417845606803894,
        0.29476839303970337,
        0.29480427503585815,
        0.29454708099365234,
        0.29480862617492676,
        0.2951359450817108,
        0.29542478919029236,
        0.29513484239578247,
        0.2948497235774994,
        0.29503440856933594,
        0.2950184643268585,
        0.2946626842021942,
        0.29474708437919617,
        0.2955388128757477,
        0.2947990596294403,
        0.2944237291812897,
        0.294931024312973,
        0.295490562915802,
        0.2953566014766693,
        0.29504522681236267,
        0.2946368455886841,
        0.2948744297027588,
        0.29453787207603455,
        0.2941853404045105,
        0.2949666678905487,
        0.29516714811325073,
        0.2953983247280121,
        0.2953478991985321,
        0.29393258690834045,
        0.2944512665271759,
        0.29529017210006714,
        0.2946951985359192,
        0.2946729063987732,
        0.2952580749988556,
        0.2963261902332306,
        0.29553353786468506,
        0.29625967144966125,
        0.29554983973503113,
        0.2964960038661957,
        0.29629743099212646,
        0.2960677146911621,
        0.29620757699012756,
        0.2964138984680176,
        0.29681137204170227,
        0.2959325611591339,
        0.2955976724624634,
        0.29597780108451843,
        0.2961169481277466,
        0.29643264412879944,
        0.29623955488204956,
        0.29590490460395813,
        0.2961778938770294,
        0.2958710491657257,
        0.2961582541465759,
        0.2959473431110382,
        0.2964543402194977,
        0.29694923758506775,
        0.29671981930732727,
        0.29597336053848267,
        0.29614904522895813,
        0.29629024863243103,
        0.29611504077911377,
        0.2956646680831909,
        0.29614943265914917,
        0.29755085706710815,
        0.2972683608531952,
        0.2973606288433075,
        0.2973083257675171,
        0.29646241664886475,
        0.2968781292438507,
        0.29647573828697205,
        0.297353059053421,
        0.29718154668807983,
        0.29719942808151245,
        0.2970637381076813,
        0.2973816990852356,
        0.29664069414138794,
        0.29709821939468384,
        0.296990305185318,
        0.2970869243144989,
        0.2973616123199463,
        0.29694584012031555,
        0.29668858647346497,
        0.2949930429458618,
        0.2949658930301666,
        0.2939896285533905,
        0.2938445508480072,
        0.29483622312545776,
        0.2960672378540039,
        0.2944774925708771,
        0.29737889766693115,
        0.29811546206474304,
        0.2973608076572418,
        0.29798221588134766,
        0.2978936731815338,
        0.2987198829650879,
        0.3029925227165222,
        0.3032069206237793,
        0.30532944202423096,
        0.301484078168869,
        0.2983923554420471,
        0.2945898473262787,
        0.2943253219127655,
        0.29435572028160095,
        0.28831034898757935,
        0.2921135127544403,
        0.2575930058956146,
        0.26607125997543335,
        0.24324658513069153,
        0.23062868416309357,
        0.2397986501455307,
        0.23757502436637878,
        0.2407684475183487,
        0.2426675409078598,
        0.24416610598564148,
        0.24960996210575104,
        0.2539287209510803,
        0.25781238079071045,
        0.262398362159729,
        0.2691483795642853,
        0.27461230754852295,
        0.28454911708831787,
        0.28796645998954773,
        0.29658937454223633,
        0.3020849823951721,
        0.31848642230033875,
        0.32300782203674316,
        0.33845192193984985,
        0.3432093560695648,
        0.35687491297721863,
        0.3580852150917053,
        0.36734580993652344,
        0.36951836943626404,
        0.37635910511016846,
        0.3780094385147095,
        0.38219019770622253,
        0.38231325149536133,
        0.3834270238876343,
        0.38133400678634644,
        0.38978782296180725,
        0.3830614984035492,
        0.3831961154937744,
        0.3668211102485657,
        0.3768816888332367,
        0.3547914922237396,
        0.34681499004364014,
        0.3311927914619446,
        0.3613879084587097,
        0.2685556709766388,
        0.27459096908569336,
        0.30483272671699524,
        0.30291011929512024,
        0.29299089312553406,
        0.29568979144096375,
        0.29508328437805176,
        0.2960071563720703,
        0.29655760526657104,
        0.295905202627182,
        0.2957625985145569,
        0.2957700490951538,
        0.2956269085407257,
        0.2953319549560547,
        0.29528430104255676,
        0.29528871178627014,
        0.29595881700515747,
        0.29549261927604675,
        0.2954021990299225,
        0.29520896077156067,
        0.294857919216156,
        0.2953793704509735,
        0.29548129439353943,
        0.2957812547683716,
        0.29479122161865234,
        0.2951638996601105,
        0.2952195405960083,
        0.2952442765235901,
        0.29548224806785583,
        0.295756995677948,
        0.2958250641822815,
        0.2962448000907898,
        0.296286404132843,
        0.29547786712646484,
        0.2953917682170868,
        0.2956879138946533,
        0.2959955632686615,
        0.29550784826278687,
        0.29553163051605225,
        0.29572594165802,
        0.29547715187072754,
        0.2954888641834259,
        0.2955177128314972,
        0.29539984464645386,
        0.29617026448249817,
        0.2964097559452057,
        0.2964121401309967,
        0.2963877022266388,
        0.29640594124794006,
        0.29652002453804016,
        0.296037882566452,
        0.2955625057220459,
        0.2955165207386017,
        0.2947671711444855,
        0.2947719991207123,
        0.29794928431510925,
        0.2973647117614746,
        0.29748570919036865,
        0.28750815987586975,
        0.27724286913871765,
        0.302316278219223,
        0.3256729543209076,
        0.29894840717315674,
        0.31946316361427307,
        0.32519522309303284,
        0.3180248737335205,
        0.3249485194683075,
        0.3258555829524994,
        0.31318140029907227,
        0.3080708384513855,
        0.32142066955566406,
        0.31753262877464294,
        0.32328441739082336,
        0.31530022621154785,
        0.31808361411094666,
        0.31721043586730957,
        0.31727513670921326,
        0.3194981813430786,
        0.31330418586730957,
        0.3187097907066345,
        0.3097277879714966,
        0.31102633476257324,
        0.3034984767436981,
        0.30578315258026123,
        0.2964124083518982,
        0.29470959305763245,
        0.29301875829696655,
        0.28653401136398315,
        0.2833786606788635,
        0.28145715594291687,
        0.2733617126941681,
        0.2721341550350189,
        0.2625257968902588,
        0.256310373544693,
        0.2530456781387329,
        0.2645443379878998,
        0.2580832839012146,
        0.3307217061519623,
        0.31244122982025146,
        0.3034726679325104,
        0.31394657492637634,
        0.31851470470428467,
        0.31687626242637634,
        0.3193013370037079,
        0.3176428973674774,
        0.316255658864975,
        0.31426358222961426,
        0.310411661863327,
        0.3093079924583435,
        0.3088664412498474,
        0.30720433592796326,
        0.3074036240577698,
        0.30642709136009216,
        0.303658127784729,
        0.30375081300735474,
        0.3019276261329651,
        0.3000723421573639,
        0.299471914768219,
        0.29863879084587097,
        0.2986678183078766,
        0.2980305850505829,
        0.29817941784858704,
        0.2979811429977417,
        0.29778510332107544,
        0.2968546450138092,
        0.2954629957675934,
        0.29572373628616333,
        0.2959635257720947,
        0.2958468198776245,
        0.2948814034461975,
        0.2937683165073395,
        0.293961763381958,
        0.29262176156044006,
        0.2932480573654175,
        0.29343998432159424,
        0.2940432131290436,
        0.2935585677623749,
        0.293372243642807,
        0.2928302586078644,
        0.29296204447746277,
        0.29235437512397766,
        0.2924827039241791,
        0.29260122776031494,
        0.2926977872848511,
        0.2936170995235443,
        0.2933295667171478,
        0.29359665513038635,
        0.29360586404800415,
        0.2932949364185333,
        0.2932501435279846,
        0.29312843084335327,
        0.29336100816726685,
        0.29367902874946594,
        0.2932780981063843,
        0.2931115925312042,
        0.29281628131866455,
        0.293237566947937,
        0.2927921712398529,
        0.29348990321159363,
        0.29295527935028076,
        0.2931648790836334,
        0.29300057888031006,
        0.2931275963783264,
        0.29263418912887573,
        0.29290369153022766,
        0.2928278148174286,
        0.2930605113506317,
        0.29225459694862366,
        0.29247090220451355,
        0.29298803210258484,
        0.2933886647224426,
        0.2933116853237152,
        0.29224690794944763,
        0.29245293140411377,
        0.29287096858024597,
        0.2935655117034912,
        0.29284507036209106,
        0.2934282422065735,
        0.2936134934425354,
        0.29329049587249756,
        0.292790025472641,
        0.29331469535827637,
        0.2931022346019745,
        0.2932088077068329,
        0.2933361232280731,
        0.2934204339981079,
        0.2944243252277374,
        0.293720006942749,
        0.2937109172344208,
        0.29403600096702576,
        0.29424625635147095,
        0.2934940457344055,
        0.293686181306839,
        0.2934580445289612,
        0.2937450408935547,
        0.29385507106781006,
        0.29429304599761963,
        0.2940252125263214,
        0.29428645968437195,
        0.2942807376384735,
        0.29463833570480347,
        0.2944008409976959,
        0.29475975036621094,
        0.2949090003967285,
        0.29433658719062805,
        0.2942829430103302,
        0.2945912182331085,
        0.2946849465370178,
        0.2949985861778259,
        0.2949393391609192,
        0.2941567301750183,
        0.29438865184783936,
        0.29445481300354004,
        0.29478079080581665,
        0.29459348320961,
        0.2948591113090515,
        0.29486241936683655,
        0.294205904006958,
        0.294111967086792,
        0.29470211267471313,
        0.2945725917816162,
        0.293860524892807,
        0.2942083477973938,
        0.29424765706062317,
        0.29387620091438293,
        0.29433879256248474,
        0.294823557138443,
        0.2941576838493347,
        0.2940365970134735,
        0.2941867709159851,
        0.2937435507774353,
        0.29412272572517395,
        0.2945546507835388,
        0.2945280969142914,
        0.2947763502597809,
        0.2943011224269867,
        0.2943049371242523,
        0.2938809394836426,
        0.2937714755535126,
        0.29403066635131836,
        0.2944423258304596,
        0.29385697841644287,
        0.2940513491630554,
        0.29407575726509094,
        0.2940129041671753,
        0.2941502034664154,
        0.2941571772098541,
        0.294314980506897,
        0.29408663511276245,
        0.294572651386261,
        0.2946251332759857,
        0.29511675238609314,
        0.2947601079940796,
        0.29471686482429504,
        0.295214980840683,
        0.2947363257408142,
        0.29516664147377014,
        0.295277863740921,
        0.295805960893631,
        0.2960262596607208,
        0.2965638041496277,
        0.2959616482257843,
        0.29496103525161743,
        0.29539352655410767,
        0.2944449186325073,
        0.295891135931015,
        0.2949361503124237,
        0.29426029324531555,
        0.29285475611686707,
        0.29352545738220215,
        0.29513779282569885,
        0.29614758491516113,
        0.2959772050380707,
        0.2973477840423584,
        0.29758626222610474,
        0.2988685667514801,
        0.2997429370880127,
        0.30114609003067017,
        0.30341681838035583,
        0.3025001585483551,
        0.30319610238075256,
        0.3056057393550873,
        0.3071894645690918,
        0.30751311779022217,
        0.3064209222793579,
        0.3113572895526886,
        0.3083551526069641,
        0.305907666683197,
        0.30463066697120667,
        0.30134257674217224,
        0.3004741072654724,
        0.3080640137195587,
        0.30615511536598206,
        0.3111611008644104,
        0.3028970956802368,
        0.2978218197822571,
        0.3053777813911438,
        0.2883191406726837,
        0.2776549160480499,
        0.2914893925189972,
        0.2985885441303253,
        0.2881697714328766,
        0.29518836736679077,
        0.27985885739326477,
        0.2865031957626343,
        0.29695552587509155,
        0.3129372298717499,
        0.3159688711166382,
        0.33524301648139954,
        0.34202641248703003,
        0.35130491852760315,
        0.35204294323921204,
        0.3638245463371277,
        0.36379474401474,
        0.37199342250823975,
        0.37507808208465576,
        0.36916011571884155,
        0.3675141930580139,
        0.36896002292633057,
        0.36491891741752625,
        0.3670068681240082,
        0.3617534041404724,
        0.36110031604766846,
        0.34316539764404297,
        0.34756430983543396,
        0.3417936861515045,
        0.3107483386993408,
        0.2962406873703003,
        0.3002491891384125,
        0.29699063301086426,
        0.2963266670703888,
        0.2962886393070221,
        0.2963089644908905,
        0.29615387320518494,
        0.2958870828151703,
        0.29603055119514465,
        0.2964894473552704,
        0.2960681915283203,
        0.29577845335006714,
        0.2958007752895355,
        0.2960740327835083,
        0.29572588205337524,
        0.2960642874240875,
        0.2961607277393341,
        0.2959687411785126,
        0.29585573077201843,
        0.29582664370536804,
        0.29631462693214417,
        0.2966279983520508,
        0.29642221331596375,
        0.29662904143333435,
        0.29620182514190674,
        0.2964176535606384,
        0.29621264338493347,
        0.29646754264831543,
        0.29653963446617126,
        0.296540230512619,
        0.29620832204818726,
        0.29635119438171387,
        0.29639679193496704,
        0.2963767945766449,
        0.2964681088924408,
        0.29621148109436035,
        0.2962978184223175,
        0.29647859930992126,
        0.2967650294303894,
        0.2963343560695648,
        0.29621830582618713,
        0.2968406081199646,
        0.29651886224746704,
        0.2960347831249237,
        0.2967650294303894,
        0.2968326508998871,
        0.2966024577617645,
        0.29689669609069824,
        0.29700198769569397,
        0.2970130145549774,
        0.29651686549186707,
        0.2967715859413147,
        0.29714325070381165,
        0.2971011996269226,
        0.2967185974121094,
        0.297534704208374,
        0.2969423830509186,
        0.2968197464942932,
        0.2964186370372772,
        0.29603540897369385,
        0.2961004674434662,
        0.2959313988685608,
        0.2954264283180237,
        0.2955433428287506,
        0.29559221863746643,
        0.2950848937034607,
        0.2955379784107208,
        0.29723718762397766,
        0.2991856634616852,
        0.2968629002571106,
        0.29410630464553833,
        0.2541796863079071,
        0.24253346025943756,
        0.2316683977842331,
        0.24736103415489197,
        0.29124510288238525,
        0.28017282485961914,
        0.2796642780303955,
        0.32077786326408386,
        0.31133145093917847,
        0.3014192581176758,
        0.2839534878730774,
        0.2932569980621338,
        0.30741411447525024,
        0.27936503291130066,
        0.30143052339553833,
        0.2949110269546509,
        0.28338998556137085,
        0.28631535172462463,
        0.27574434876441956,
        0.27297845482826233,
        0.26531222462654114,
        0.264512300491333,
        0.2606808841228485,
        0.2618919312953949,
        0.2581942677497864,
        0.26116839051246643,
        0.2607804238796234,
        0.25715434551239014,
        0.24951568245887756,
        0.24489183723926544,
        0.2425122857093811,
        0.24845458567142487,
        0.24059990048408508,
        0.2579899728298187,
        0.2821064293384552,
        0.2986743450164795,
        0.3026027977466583,
        0.30539971590042114,
        0.3104105591773987,
        0.30881285667419434,
        0.3080980181694031,
        0.30832526087760925,
        0.30816584825515747,
        0.3057832717895508,
        0.30616578459739685,
        0.30333212018013,
        0.3031828701496124,
        0.30195772647857666,
        0.301818311214447,
        0.30015426874160767,
        0.3004106879234314,
        0.29836905002593994,
        0.2974134385585785,
        0.2967539429664612,
        0.296933114528656,
        0.29481011629104614,
        0.2949073612689972,
        0.29340851306915283,
        0.2936151623725891,
        0.29409581422805786,
        0.2955833375453949,
        0.29451555013656616,
        0.294818639755249,
        0.2951657474040985,
        0.29573580622673035,
        0.29520413279533386,
        0.2947092354297638,
        0.2953245937824249,
        0.29539695382118225,
        0.2954219579696655,
        0.2948859632015228,
        0.29482147097587585,
        0.29423773288726807,
        0.29470396041870117,
        0.29422953724861145,
        0.29442456364631653,
        0.2943539619445801,
        0.2939329445362091,
        0.29391366243362427,
        0.29456329345703125,
        0.29452836513519287,
        0.29533007740974426,
        0.2948997914791107,
        0.29485592246055603,
        0.29494866728782654,
        0.2959292232990265,
        0.2947033941745758,
        0.29517248272895813,
        0.29524192214012146,
        0.2951909005641937,
        0.29470545053482056,
        0.2947217524051666,
        0.29511353373527527,
        0.2951056659221649,
        0.29527491331100464,
        0.29547253251075745,
        0.2944822311401367,
        0.29544976353645325,
        0.29500675201416016,
        0.2955164909362793,
        0.2954539656639099,
        0.2955867648124695,
        0.29485487937927246,
        0.29567763209342957,
        0.29485905170440674,
        0.2950855791568756,
        0.2949899137020111,
        0.29504314064979553,
        0.29500576853752136,
        0.2950831651687622,
        0.29538494348526,
        0.2950473129749298,
        0.29535311460494995,
        0.2946681082248688,
        0.294776052236557,
        0.2950811982154846,
        0.29485324025154114,
        0.29514381289482117,
        0.2955329120159149,
        0.29563239216804504,
        0.29514414072036743,
        0.29493558406829834,
        0.2950438857078552,
        0.2949136197566986,
        0.2946684956550598,
        0.2952355146408081,
        0.2951332926750183,
        0.2953028082847595,
        0.2950308322906494,
        0.2955801784992218,
        0.2955167889595032,
        0.2950144112110138,
        0.2950289845466614,
        0.29541414976119995,
        0.29488444328308105,
        0.2953752279281616,
        0.29521679878234863,
        0.2953755855560303,
        0.2951202094554901,
        0.2958090305328369,
        0.29524925351142883,
        0.2952738404273987,
        0.2954309284687042,
        0.2949978709220886,
        0.2956049144268036,
        0.2952702045440674,
        0.295587956905365,
        0.29539233446121216,
        0.29543718695640564,
        0.29585039615631104,
        0.2957426905632019,
        0.29599496722221375,
        0.29596832394599915,
        0.2955783009529114,
        0.2957555055618286,
        0.29576700925827026,
        0.29581910371780396,
        0.29543858766555786,
        0.2957707643508911,
        0.29583829641342163,
        0.29593974351882935,
        0.2966735363006592,
        0.29613766074180603,
        0.29577815532684326,
        0.29555320739746094,
        0.2955546975135803,
        0.295139342546463,
        0.29573124647140503,
        0.2957197427749634,
        0.29589179158210754,
        0.2958875894546509,
        0.2958749532699585,
        0.29634329676628113,
        0.29574599862098694,
        0.2967108190059662,
        0.2964772880077362,
        0.29639554023742676,
        0.29715991020202637,
        0.2978150248527527,
        0.2973749339580536,
        0.298254132270813,
        0.2986101508140564,
        0.2979920208454132,
        0.298527330160141,
        0.29655149579048157,
        0.2989537715911865,
        0.29893115162849426,
        0.29936736822128296,
        0.3019501268863678,
        0.3025568127632141,
        0.3007148504257202,
        0.30323928594589233,
        0.30257850885391235,
        0.3069986402988434,
        0.3059690296649933,
        0.3070007264614105,
        0.3033028244972229,
        0.3005323112010956,
        0.298954039812088,
        0.2954748570919037,
        0.2993437349796295,
        0.29515135288238525,
        0.27920183539390564,
        0.28007277846336365,
        0.29030072689056396,
        0.2786424458026886,
        0.29385384917259216,
        0.2881999611854553,
        0.2737250328063965,
        0.27254149317741394,
        0.26459720730781555,
        0.2667032778263092,
        0.2741709053516388,
        0.2514457404613495,
        0.2613944113254547,
        0.2664049565792084,
        0.28013876080513,
        0.2857717275619507,
        0.2995131015777588,
        0.30392879247665405,
        0.31493112444877625,
        0.31886985898017883,
        0.32816505432128906,
        0.32779788970947266,
        0.3331431746482849,
        0.332004189491272,
        0.3369429409503937,
        0.33860254287719727,
        0.34190887212753296,
        0.34290146827697754,
        0.3484131097793579,
        0.3429971933364868,
        0.34454938769340515,
        0.34198862314224243,
        0.3438528776168823,
        0.3393096923828125,
        0.3302784264087677,
        0.3233192563056946,
        0.3292233645915985,
        0.32029980421066284,
        0.3170669376850128,
        0.3185544013977051,
        0.30812928080558777,
        0.3036728501319885,
        0.3013398349285126,
        0.29813525080680847,
        0.28734052181243896,
        0.2914277911186218,
        0.2964419424533844,
        0.29703670740127563,
        0.297249436378479,
        0.2960335910320282,
        0.29581984877586365,
        0.29627367854118347,
        0.2960403859615326,
        0.2960749566555023,
        0.29648274183273315,
        0.2961028218269348,
        0.2961118221282959,
        0.2962230145931244,
        0.29646405577659607,
        0.29650068283081055,
        0.2966156601905823,
        0.2962051331996918,
        0.29608288407325745,
        0.2958078384399414,
        0.29608285427093506,
        0.295970618724823,
        0.2965696156024933,
        0.2962493896484375,
        0.2963634729385376,
        0.2958427965641022,
        0.2966029942035675,
        0.29662489891052246,
        0.29735612869262695,
        0.29722702503204346,
        0.29733991622924805,
        0.29775571823120117,
        0.2974381446838379,
        0.29691070318222046,
        0.2964324951171875,
        0.29671618342399597,
        0.29631516337394714,
        0.29594358801841736,
        0.29618459939956665,
        0.29570165276527405,
        0.2960972189903259,
        0.29678893089294434,
        0.29642942547798157,
        0.2961134612560272,
        0.2954498529434204,
        0.295320987701416,
        0.2955203056335449,
        0.29578179121017456,
        0.2963871955871582,
        0.29565009474754333,
        0.29586124420166016,
        0.29588255286216736,
        0.2962496876716614,
        0.29605430364608765,
        0.29638350009918213,
        0.2964937686920166,
        0.29627352952957153,
        0.2963700592517853,
        0.2961605191230774,
        0.29267314076423645,
        0.2950441539287567,
        0.29540589451789856,
        0.2925799787044525,
        0.2896936237812042,
        0.26711392402648926,
        0.24671776592731476,
        0.2351282685995102,
        0.23315419256687164,
        0.2792479991912842,
        0.29083114862442017,
        0.3047481179237366,
        0.2887569069862366,
        0.29037806391716003,
        0.28821173310279846,
        0.2963114082813263,
        0.3021679222583771,
        0.3020116090774536,
        0.2947271466255188,
        0.2975032925605774,
        0.30093029141426086,
        0.2932955324649811,
        0.2908191978931427,
        0.28858140110969543,
        0.27968156337738037,
        0.27880463004112244,
        0.2746061384677887,
        0.2658444941043854,
        0.2664860486984253,
        0.25687509775161743,
        0.25411471724510193,
        0.26612505316734314,
        0.23766033351421356,
        0.3443543016910553,
        0.3102380633354187,
        0.31978848576545715,
        0.32659727334976196,
        0.3306293189525604,
        0.32863232493400574,
        0.3231641948223114,
        0.3210059106349945,
        0.3160743713378906,
        0.3140829801559448,
        0.3127340078353882,
        0.31240710616111755,
        0.31005361676216125,
        0.3090515434741974,
        0.3076639473438263,
        0.30441322922706604,
        0.3026432991027832,
        0.3017730712890625,
        0.2993755340576172,
        0.29980599880218506,
        0.29935964941978455,
        0.29926154017448425,
        0.299622118473053,
        0.2993682622909546,
        0.29780468344688416,
        0.2971276342868805,
        0.29529571533203125,
        0.2956152856349945,
        0.2936784029006958,
        0.295098215341568,
        0.29402655363082886,
        0.29454177618026733,
        0.29495060443878174,
        0.2941928803920746,
        0.293911874294281,
        0.2944738268852234,
        0.29397451877593994,
        0.2938927412033081,
        0.29421865940093994,
        0.2945351004600525,
        0.29466861486434937,
        0.294189989566803,
        0.2940053641796112,
        0.29402077198028564,
        0.2935143709182739,
        0.2937915623188019,
        0.29362842440605164,
        0.2939249575138092,
        0.2934214174747467,
        0.2935425043106079,
        0.29327094554901123,
        0.2934187054634094,
        0.2935583293437958,
        0.2933690845966339,
        0.2930006980895996,
        0.2934868335723877,
        0.29342415928840637,
        0.29310983419418335,
        0.29360273480415344,
        0.29335957765579224,
        0.2936841547489166,
        0.2931043803691864,
        0.293300598859787,
        0.29351529479026794,
        0.29382485151290894,
        0.2933472692966461,
        0.294082909822464,
        0.29364460706710815,
        0.2935307025909424,
        0.29407086968421936,
        0.2938350439071655,
        0.29382506012916565,
        0.2936040163040161,
        0.2936914265155792,
        0.293928861618042,
        0.2938767075538635,
        0.2939441204071045,
        0.2937084138393402,
        0.2937690019607544,
        0.2939554750919342,
        0.29350745677948,
        0.294034868478775,
        0.29389873147010803,
        0.2938970923423767,
        0.29389557242393494,
        0.2943948209285736,
        0.29431673884391785,
        0.2947140336036682,
        0.2953338325023651,
        0.2948451042175293,
        0.29446661472320557,
        0.2945025563240051,
        0.29449015855789185,
        0.2947053015232086,
        0.29476454854011536,
        0.29423803091049194,
        0.29398152232170105,
        0.2938038408756256,
        0.2932353913784027,
        0.29324960708618164,
        0.2933022379875183,
        0.29388943314552307,
        0.29352867603302,
        0.29389652609825134,
        0.29391688108444214,
        0.29364627599716187,
        0.29320472478866577,
        0.2944062352180481,
        0.29434138536453247,
        0.2948846220970154,
        0.29415780305862427,
        0.29410237073898315,
        0.2939785420894623,
        0.2936907112598419,
        0.2937820255756378,
        0.29346635937690735,
        0.29372718930244446,
        0.2932330369949341,
        0.2947274148464203,
        0.29486802220344543,
        0.29486367106437683,
        0.2946416139602661,
        0.29382458329200745,
        0.2929401099681854,
        0.2936507761478424,
        0.292964369058609,
        0.29375120997428894,
        0.29326918721199036,
        0.2938765585422516,
        0.2936468720436096,
        0.29382339119911194,
        0.29327481985092163,
        0.2939172387123108,
        0.2938538193702698,
        0.2932966351509094,
        0.2938136160373688,
        0.29368236660957336,
        0.294101744890213,
        0.29389631748199463,
        0.2939746379852295,
        0.29353877902030945,
        0.2938731014728546,
        0.29425957798957825,
        0.29428231716156006,
        0.29410403966903687,
        0.2946518361568451,
        0.29394495487213135,
        0.29372942447662354,
        0.2936210632324219,
        0.29357728362083435,
        0.29403945803642273,
        0.2941914498806,
        0.29521068930625916,
        0.2943183481693268,
        0.2939591705799103,
        0.2938019335269928,
        0.2942693531513214,
        0.2946111559867859,
        0.29429128766059875,
        0.29404836893081665,
        0.29464104771614075,
        0.2938860058784485,
        0.29525065422058105,
        0.29563790559768677,
        0.296907901763916,
        0.29753637313842773,
        0.2969883680343628,
        0.296379953622818,
        0.29738110303878784,
        0.29788756370544434,
        0.29912757873535156,
        0.29916319251060486,
        0.2985447347164154,
        0.29760169982910156,
        0.29907575249671936,
        0.3017517328262329,
        0.30268439650535583,
        0.3029880225658417,
        0.30632883310317993,
        0.3076806366443634,
        0.3118925988674164,
        0.3078893721103668,
        0.3063567876815796,
        0.30691131949424744,
        0.3065847158432007,
        0.3087136149406433,
        0.30902358889579773,
        0.30937105417251587,
        0.3105921745300293,
        0.3137958347797394,
        0.31360766291618347,
        0.3149709105491638,
        0.318681925535202,
        0.3203667998313904,
        0.33199477195739746,
        0.3407738208770752,
        0.34142497181892395,
        0.3182207942008972,
        0.26720738410949707,
        0.2807231843471527,
        0.32964617013931274,
        0.31428074836730957,
        0.28329920768737793,
        0.2954230308532715,
        0.3046145737171173,
        0.3133794367313385,
        0.31649425625801086,
        0.3412533402442932,
        0.3409550189971924,
        0.35621142387390137,
        0.3653753697872162,
        0.385041743516922,
        0.3921160399913788,
        0.41291743516921997,
        0.41896551847457886,
        0.4294250011444092,
        0.4213125705718994,
        0.4157354533672333,
        0.4166640639305115,
        0.40429094433784485,
        0.3974330723285675,
        0.37797102332115173,
        0.3761618137359619,
        0.40547576546669006,
        0.3904986083507538,
        0.36981135606765747,
        0.35709500312805176,
        0.36350107192993164,
        0.36563020944595337,
        0.35539382696151733,
        0.3616184890270233,
        0.31474632024765015,
        0.2766769528388977,
        0.28311797976493835,
        0.27037373185157776,
        0.29195132851600647,
        0.29350295662879944,
        0.29638010263442993,
        0.29573854804039,
        0.29576021432876587,
        0.2956291139125824,
        0.29614946246147156,
        0.29601702094078064,
        0.29652026295661926,
        0.29591184854507446,
        0.29605966806411743,
        0.2957833409309387,
        0.2962530553340912,
        0.2961394488811493,
        0.29623913764953613,
        0.2963393032550812,
        0.29593926668167114,
        0.2966856062412262,
        0.29631099104881287,
        0.2957172095775604,
        0.29617276787757874,
        0.29591861367225647,
        0.29624974727630615,
        0.29632651805877686,
        0.29603421688079834,
        0.2962578237056732,
        0.29661014676094055,
        0.2962157130241394,
        0.29657649993896484,
        0.29553449153900146,
        0.29621684551239014,
        0.2967948019504547,
        0.2961631119251251,
        0.2966669499874115,
        0.2957727909088135,
        0.2960698902606964,
        0.2960289716720581,
        0.2964079678058624,
        0.2965394854545593,
        0.2971137762069702,
        0.2980511486530304,
        0.2982349097728729,
        0.2972308397293091,
        0.2974100112915039,
        0.29772165417671204,
        0.2985263466835022,
        0.29715314507484436,
        0.29576918482780457,
        0.29646924138069153,
        0.2969018518924713,
        0.29618141055107117,
        0.29586008191108704,
        0.29557982087135315,
        0.2979806363582611,
        0.300071120262146,
        0.2995547950267792,
        0.27221038937568665,
        0.26418620347976685,
        0.2698749005794525,
        0.2745715081691742,
        0.285245805978775,
        0.29046809673309326,
        0.300584614276886,
        0.3090722858905792,
        0.3178178668022156,
        0.3224565386772156,
        0.32567015290260315,
        0.32427728176116943,
        0.3197883069515228,
        0.3202228248119354,
        0.30918624997138977,
        0.308260977268219,
        0.2905169129371643,
        0.28053009510040283,
        0.27613532543182373,
        0.2737525701522827,
        0.2700256109237671,
        0.2731977701187134,
        0.2709178328514099,
        0.27234673500061035,
        0.2637477517127991,
        0.26311609148979187,
        0.2564525604248047,
        0.2558228373527527,
        0.2671199440956116,
        0.28409308195114136,
        0.27801162004470825,
        0.27920296788215637,
        0.28398147225379944,
        0.29703381657600403,
        0.29955101013183594,
        0.30321675539016724,
        0.3047763705253601,
        0.31307244300842285,
        0.31091341376304626,
        0.30819836258888245,
        0.3061649799346924,
        0.3053796589374542,
        0.30191853642463684,
        0.3029194176197052,
        0.3046356737613678,
        0.29910141229629517,
        0.3002930283546448,
        0.2988646924495697,
        0.29828834533691406,
        0.29727861285209656,
        0.2960849702358246,
        0.2953127324581146,
        0.29454272985458374,
        0.2950357496738434,
        0.2954883277416229,
        0.2951020896434784,
        0.2954343855381012,
        0.29663291573524475,
        0.29698801040649414,
        0.2969774901866913,
        0.29658395051956177,
        0.2967996299266815,
        0.29549065232276917,
        0.2964162826538086,
        0.2967955768108368,
        0.29609641432762146,
        0.2959810495376587,
        0.29630088806152344,
        0.2955274283885956,
        0.29613983631134033,
        0.29629743099212646,
        0.2968304753303528,
        0.2956800162792206,
        0.29564541578292847,
        0.2952590584754944,
        0.2959457337856293,
        0.295884907245636,
        0.2946709394454956,
        0.29596784710884094,
        0.2950754761695862,
        0.29479315876960754,
        0.29581692814826965,
        0.29605159163475037,
        0.29509979486465454,
        0.2953920364379883,
        0.2950056195259094,
        0.2945384383201599,
        0.29531073570251465,
        0.2947782576084137,
        0.2953626811504364,
        0.2956193685531616,
        0.29500487446784973,
        0.29493218660354614,
        0.29504987597465515,
        0.2946338653564453,
        0.294832319021225,
        0.2948145866394043,
        0.29529574513435364,
        0.2950507700443268,
        0.2952468991279602,
        0.2950018048286438,
        0.29503563046455383,
        0.2955617308616638,
        0.2953382730484009,
        0.29474732279777527,
        0.2946973145008087,
        0.2953566908836365,
        0.29470914602279663,
        0.29478225111961365,
        0.29493796825408936,
        0.2945360243320465,
        0.29535263776779175,
        0.2942802608013153,
        0.29424646496772766,
        0.29450905323028564,
        0.29412591457366943,
        0.29389849305152893,
        0.2940552234649658,
        0.29384082555770874,
        0.2942972481250763,
        0.2942306697368622,
        0.294096440076828,
        0.29352012276649475,
        0.2942223846912384,
        0.2941467761993408,
        0.2934618592262268,
        0.29334089159965515,
        0.2942299544811249,
        0.2936280071735382,
        0.2942906618118286,
        0.29368966817855835,
        0.29483386874198914,
        0.2948921322822571,
        0.29480603337287903,
        0.29455676674842834,
        0.2952745854854584,
        0.2949814796447754,
        0.29550084471702576,
        0.2946493923664093,
        0.29453593492507935,
        0.2942293584346771,
        0.2950875461101532,
        0.2949196398258209,
        0.29469966888427734,
        0.29456284642219543,
        0.2943653464317322,
        0.2944498360157013,
        0.29550692439079285,
        0.2954360246658325,
        0.2963186204433441,
        0.2961985170841217,
        0.29577240347862244,
        0.29652127623558044,
        0.29688432812690735,
        0.2971838712692261,
        0.29568251967430115,
        0.29646381735801697,
        0.2955760657787323,
        0.2958068549633026,
        0.29712945222854614,
        0.2956380546092987,
        0.29611334204673767,
        0.29618579149246216,
        0.2980577051639557,
        0.2988708019256592,
        0.29761913418769836,
        0.2984009087085724,
        0.2989672124385834,
        0.30025142431259155,
        0.3018127679824829,
        0.3027946650981903,
        0.30310365557670593,
        0.30392536520957947,
        0.3039990961551666,
        0.3024604618549347,
        0.30478009581565857,
        0.306680291891098,
        0.30696192383766174,
        0.30636298656463623,
        0.30257901549339294,
        0.3039453327655792,
        0.307857483625412,
        0.3206084668636322,
        0.3117538094520569,
        0.3122934103012085,
        0.3190867304801941,
        0.3207550346851349,
        0.3269437849521637,
        0.3266196548938751,
        0.29959872364997864,
        0.2843727171421051,
        0.2761976420879364,
        0.2737039029598236,
        0.2839154005050659,
        0.2893604338169098,
        0.28846797347068787,
        0.30272814631462097,
        0.3118934631347656,
        0.3288424611091614,
        0.3350897431373596,
        0.35023367404937744,
        0.3540239632129669,
        0.363723486661911,
        0.362114280462265,
        0.3617165982723236,
        0.36333316564559937,
        0.37203124165534973,
        0.3729618191719055,
        0.3799116909503937,
        0.3778727650642395,
        0.38009580969810486,
        0.36915579438209534,
        0.3662651777267456,
        0.3545364439487457,
        0.3445391058921814,
        0.3322509229183197,
        0.29502245783805847,
        0.29343071579933167,
        0.2967838943004608,
        0.2968919575214386,
        0.29636135697364807,
        0.2962191104888916,
        0.29574117064476013,
        0.29579710960388184,
        0.29647886753082275,
        0.2954639792442322,
        0.29554083943367004,
        0.29571065306663513,
        0.2961274981498718,
        0.2966175079345703,
        0.29706093668937683,
        0.29642748832702637,
        0.296185165643692,
        0.29695847630500793,
        0.29726460576057434,
        0.29732170701026917,
        0.29767554998397827,
        0.29745933413505554,
        0.29814761877059937,
        0.2972653806209564,
        0.296768456697464,
        0.2965982258319855,
        0.2960309088230133,
        0.2958376407623291,
        0.2956879734992981,
        0.29600298404693604,
        0.2961209714412689,
        0.296523779630661,
        0.2969103753566742,
        0.29613760113716125,
        0.29654258489608765,
        0.29615771770477295,
        0.2959100604057312,
        0.2961750626564026,
        0.29588213562965393,
        0.2960668206214905,
        0.29611918330192566,
        0.29633596539497375,
        0.2961711585521698,
        0.29552406072616577,
        0.29612913727760315,
        0.29587480425834656,
        0.2957054376602173,
        0.2958495020866394,
        0.295734167098999,
        0.2959955632686615,
        0.2957192361354828,
        0.295538067817688,
        0.2958976626396179,
        0.2961427569389343,
        0.2960343360900879,
        0.2956778407096863,
        0.2958213984966278,
        0.29603368043899536,
        0.29581332206726074,
        0.295523464679718,
        0.29567986726760864,
        0.2957186698913574,
        0.2961110472679138,
        0.295784592628479,
        0.29584646224975586,
        0.2962498664855957,
        0.29635927081108093,
        0.2959887981414795,
        0.29590487480163574,
        0.29459038376808167,
        0.2940373420715332,
        0.2958697974681854,
        0.2730708718299866,
        0.28546157479286194,
        0.2581612765789032,
        0.25730666518211365,
        0.295000821352005,
        0.2816694378852844,
        0.28899070620536804,
        0.31131404638290405,
        0.31696513295173645,
        0.34558168053627014,
        0.33980706334114075,
        0.3275774121284485,
        0.3331499695777893,
        0.31927043199539185,
        0.31572234630584717,
        0.3147490918636322,
        0.31434011459350586,
        0.31324732303619385,
        0.3077753484249115,
        0.3086983561515808,
        0.30211547017097473,
        0.30222028493881226,
        0.29367998242378235,
        0.29126012325286865,
        0.2790994644165039,
        0.2793008089065552,
        0.2667914927005768,
        0.2629879117012024,
        0.26305580139160156,
        0.26015621423721313,
        0.25679534673690796,
        0.2665368914604187,
        0.26602408289909363,
        0.2721693515777588,
        0.270018994808197,
        0.27150958776474,
        0.2733021080493927,
        0.27401575446128845,
        0.2739562690258026,
        0.2757885754108429,
        0.2768315374851227,
        0.2798527479171753,
        0.27967652678489685,
        0.28052687644958496,
        0.28220030665397644,
        0.28445732593536377,
        0.28550422191619873,
        0.285507470369339,
        0.2856596112251282,
        0.28618323802948,
        0.2831822335720062,
        0.2813490927219391,
        0.2849888205528259,
        0.2932126522064209,
        0.2946316599845886,
        0.29344984889030457,
        0.29375001788139343,
        0.28964078426361084,
        0.2955012917518616,
        0.29564547538757324,
        0.2949877977371216,
        0.2959468364715576,
        0.29636430740356445,
        0.2957863211631775,
        0.2968684136867523,
        0.2963878810405731,
        0.29756686091423035,
        0.2962498366832733,
        0.2963011860847473,
        0.2965430021286011,
        0.2970014810562134,
        0.2966158986091614,
        0.29648905992507935,
        0.29733210802078247,
        0.2974660098552704,
        0.2978673577308655,
        0.2982140779495239,
        0.2974000871181488,
        0.29743823409080505,
        0.29782116413116455,
        0.2975500226020813,
        0.29750144481658936,
        0.29732203483581543,
        0.2977096438407898,
        0.2974630892276764,
        0.2974057197570801,
        0.2975805401802063,
        0.29783156514167786,
        0.29757875204086304,
        0.29778945446014404,
        0.2980177402496338,
        0.29783686995506287,
        0.29815176129341125,
        0.29761016368865967,
        0.29748308658599854,
        0.2975947856903076,
        0.29774609208106995,
        0.2979620695114136,
        0.2976977825164795,
        0.29734256863594055,
        0.29799434542655945,
        0.29732316732406616,
        0.2974834740161896,
        0.2974694073200226,
        0.2974269688129425,
        0.297674298286438,
        0.29788586497306824,
        0.2975035607814789,
        0.2974640727043152,
        0.2976092994213104,
        0.29775312542915344,
        0.29727229475975037,
        0.2974551022052765,
        0.29782989621162415,
        0.29729220271110535,
        0.2975212335586548,
        0.2975232005119324,
        0.2979150712490082,
        0.29799512028694153,
        0.29796797037124634,
        0.2980145812034607,
        0.29769498109817505,
        0.2977841794490814,
        0.29792317748069763,
        0.29785770177841187,
        0.29803934693336487,
        0.29834258556365967,
        0.29810190200805664,
        0.2986893653869629,
        0.29848894476890564,
        0.29840075969696045,
        0.2981642782688141,
        0.2984668016433716,
        0.2978368401527405,
        0.29809144139289856,
        0.2984035313129425,
        0.29817306995391846,
        0.29801297187805176,
        0.29829588532447815,
        0.29778027534484863,
        0.2982400357723236,
        0.2982812225818634,
        0.29812952876091003,
        0.2979504466056824,
        0.2979651689529419,
        0.2982126474380493,
        0.298119455575943,
        0.298078328371048,
        0.2983357012271881,
        0.29817163944244385,
        0.29805731773376465,
        0.2976212501525879,
        0.29716336727142334,
        0.29761847853660583,
        0.2973279356956482,
        0.29780852794647217,
        0.2977611720561981,
        0.29735031723976135,
        0.2976219654083252,
        0.2972870171070099,
        0.29770514369010925,
        0.29789167642593384,
        0.2977367639541626,
        0.2976285219192505,
        0.29727840423583984,
        0.2968956530094147,
        0.29739585518836975,
        0.29751279950141907,
        0.29751428961753845,
        0.29733508825302124,
        0.29709768295288086,
        0.29770180583000183,
        0.2974661886692047,
        0.29767778515815735,
        0.2974955439567566,
        0.29754650592803955,
        0.2973916232585907,
        0.2972137928009033,
        0.29726120829582214,
        0.2979757785797119,
        0.2978096008300781,
        0.29756179451942444,
        0.29749447107315063,
        0.2976706027984619,
        0.2979412078857422,
        0.2976379096508026,
        0.2973271906375885,
        0.2977733016014099,
        0.2973361015319824,
        0.29720285534858704,
        0.29770949482917786,
        0.2981041669845581,
        0.29771319031715393,
        0.2974497079849243,
        0.29701367020606995,
        0.2969897389411926,
        0.29735660552978516,
        0.2969624102115631,
        0.29702112078666687,
        0.2968106269836426,
        0.2966940402984619,
        0.2971493899822235,
        0.2970840632915497,
        0.29707789421081543,
        0.2968448996543884,
        0.2971949577331543,
        0.29742270708084106,
        0.2970227897167206,
        0.2971585988998413,
        0.29732248187065125,
        0.2973623275756836,
        0.2971932590007782,
        0.2972249984741211,
        0.2968263030052185,
        0.29725074768066406,
        0.2972940504550934,
        0.2975955307483673,
        0.29778194427490234,
        0.29768720269203186,
        0.29733890295028687,
        0.2970930337905884,
        0.29712966084480286,
        0.2979673743247986,
        0.29771894216537476,
        0.29761606454849243,
        0.29754412174224854,
        0.2974812686443329,
        0.29746103286743164,
        0.2973325848579407,
        0.29772695899009705,
        0.2973097562789917,
        0.29759371280670166,
        0.29761114716529846,
        0.2977190911769867,
        0.2977820634841919,
        0.297209769487381,
        0.29671749472618103,
        0.2956404685974121,
        0.29533126950263977,
        0.2955664098262787,
        0.29385051131248474,
        0.29256242513656616,
        0.2901652753353119,
        0.29134583473205566,
        0.28676557540893555,
        0.285245418548584,
        0.2813769578933716,
        0.28025373816490173,
        0.27972114086151123,
        0.2810555398464203,
        0.2825911343097687,
        0.28008267283439636,
        0.27908918261528015,
        0.2776700258255005,
        0.2777674198150635,
        0.2770320773124695,
        0.2754773795604706,
        0.27462831139564514,
        0.2739892303943634,
        0.2738678455352783,
        0.2738369107246399,
        0.2732912600040436,
        0.2731722891330719,
        0.2727426588535309,
        0.27229389548301697,
        0.2726196348667145,
        0.27209365367889404,
        0.27198266983032227,
        0.2728522717952728,
        0.27253496646881104,
        0.27227798104286194,
        0.2714933454990387,
        0.2712728977203369,
        0.27151626348495483,
        0.2711030840873718,
        0.2700277864933014,
        0.2690148651599884,
        0.2687843441963196,
        0.26965823769569397,
        0.26904791593551636,
        0.2694258987903595,
        0.2697230875492096,
        0.270540714263916,
        0.2702985405921936,
        0.2709115743637085,
        0.27115675806999207,
        0.2705727517604828,
        0.2704872786998749,
        0.27030330896377563,
        0.2692505717277527,
        0.26794686913490295,
        0.2679603397846222,
        0.2675964832305908,
        0.2667486369609833,
        0.2663002014160156,
        0.2661040127277374,
        0.2650573253631592,
        0.2648831605911255,
        0.2650991976261139,
        0.2654823660850525,
        0.26497262716293335,
        0.2642705738544464,
        0.2651198208332062,
        0.2656480669975281,
        0.264311820268631,
        0.26405584812164307,
        0.26332488656044006,
        0.2634791135787964,
        0.2649928629398346,
        0.2671146094799042,
        0.2664085924625397,
        0.26586368680000305,
        0.2653086185455322,
        0.2642418444156647,
        0.26553067564964294,
        0.26713332533836365,
        0.26693373918533325,
        0.2684151232242584,
        0.26895156502723694,
        0.2693003714084625,
        0.26851654052734375,
        0.26755619049072266,
        0.26730287075042725,
        0.2679878771305084,
        0.26711368560791016,
        0.26885879039764404,
        0.27184879779815674,
        0.2712995707988739,
        0.2732151448726654,
        0.2690754234790802,
        0.27240392565727234,
        0.27323785424232483,
        0.2668777406215668,
        0.2679183781147003,
        0.2637432813644409,
        0.26629382371902466,
        0.26441770792007446,
        0.2613447606563568,
        0.2633149325847626,
        0.2591555714607239,
        0.25802016258239746,
        0.2528434693813324,
        0.25296616554260254,
        0.25216275453567505,
        0.24949879944324493,
        0.24823030829429626,
        0.24533265829086304,
        0.2429524064064026,
        0.24156609177589417,
        0.23902668058872223,
        0.22578631341457367,
        0.2237488031387329,
        0.22916476428508759,
        0.231818288564682,
        0.2337467074394226,
        0.2430267632007599,
        0.23606491088867188,
        0.23635338246822357,
        0.24419672787189484,
        0.242858424782753,
        0.24406853318214417,
        0.2428269386291504,
        0.2596079409122467,
        0.26696377992630005,
        0.2580016851425171,
        0.2666950821876526,
        0.2631743252277374,
        0.2743450403213501,
        0.2696525752544403,
        0.27245181798934937,
        0.27186498045921326,
        0.2712421715259552,
        0.27651864290237427,
        0.2599903345108032,
        0.26674360036849976,
        0.25899016857147217,
        0.27303558588027954,
        0.2500975728034973,
        0.24639563262462616,
        0.25482669472694397,
        0.26073068380355835,
        0.2939092218875885,
        0.3055790066719055,
        0.320469468832016,
        0.3149344027042389,
        0.310930073261261,
        0.31078431010246277,
        0.3151686489582062,
        0.3078901171684265,
        0.3178517520427704,
        0.322949081659317,
        0.332047700881958,
        0.3331107497215271,
        0.3450530469417572,
        0.345160573720932,
        0.35794585943222046,
        0.3617910146713257,
        0.3771321773529053,
        0.3766997158527374,
        0.3779924213886261,
        0.38316404819488525,
        0.3848075568675995,
        0.38192954659461975,
        0.3809104561805725,
        0.370151549577713,
        0.3558182120323181,
        0.3428650498390198,
        0.30399689078330994,
        0.3316669166088104,
        0.3522786796092987,
        0.37166187167167664,
        0.37307026982307434,
        0.36991700530052185,
        0.2907770574092865,
        0.3073146939277649,
        0.3044792711734772,
        0.3043350875377655,
        0.30531588196754456,
        0.3054501712322235,
        0.30544182658195496,
        0.30601760745048523,
        0.30551236867904663,
        0.30494385957717896,
        0.30435672402381897,
        0.3035566210746765,
        0.30405494570732117,
        0.30357739329338074,
        0.30288565158843994,
        0.30442115664482117,
        0.3040199279785156,
        0.3028460144996643,
        0.3028407096862793,
        0.3028316795825958,
        0.30278390645980835,
        0.30291494727134705,
        0.3026663362979889,
        0.3031270503997803,
        0.30288854241371155,
        0.30298271775245667,
        0.30321529507637024,
        0.30309945344924927,
        0.30294564366340637,
        0.302969366312027,
        0.30288296937942505,
        0.3024148643016815,
        0.30250224471092224,
        0.302427738904953,
        0.3028244972229004,
        0.3027745187282562,
        0.30282747745513916,
        0.30273136496543884,
        0.30287301540374756,
        0.30339449644088745,
        0.303335040807724,
        0.30348825454711914,
        0.30336451530456543,
        0.3035193979740143,
        0.30349215865135193,
        0.3031894862651825,
        0.3035739064216614,
        0.30321550369262695,
        0.3034612238407135,
        0.30380022525787354,
        0.3032783269882202,
        0.303488552570343,
        0.30368772149086,
        0.30332252383232117,
        0.3032022714614868,
        0.3034186065196991,
        0.30305248498916626,
        0.3033045530319214,
        0.3034815192222595,
        0.3021916449069977,
        0.3036460876464844,
        0.30340576171875,
        0.3052045404911041,
        0.30749934911727905,
        0.3011148273944855,
        0.29972344636917114,
        0.29983147978782654,
        0.2907611131668091,
        0.2813331186771393,
        0.28243395686149597,
        0.27716729044914246,
        0.27323922514915466,
        0.27394089102745056,
        0.2795608341693878,
        0.2955182194709778,
        0.2896556258201599,
        0.2782716155052185,
        0.2796834707260132,
        0.2750631272792816,
        0.2795724868774414,
        0.28509393334388733,
        0.2807713449001312,
        0.2785269618034363,
        0.28118598461151123,
        0.2762271761894226,
        0.2849218547344208,
        0.2827346920967102,
        0.28062254190444946,
        0.2869521677494049,
        0.2896011173725128,
        0.2927806079387665,
        0.29448890686035156,
        0.2941054403781891,
        0.29870733618736267,
        0.2979647219181061,
        0.29343315958976746,
        0.29264503717422485,
        0.29291489720344543,
        0.2912102937698364,
        0.2905256152153015,
        0.29220813512802124,
        0.29251179099082947,
        0.2930341958999634,
        0.2946445345878601,
        0.2943003475666046,
        0.2948538064956665,
        0.294717401266098,
        0.2948509156703949,
        0.2945466637611389,
        0.2935023009777069,
        0.29372042417526245,
        0.2932135760784149,
        0.2933621406555176,
        0.29380935430526733,
        0.293468713760376,
        0.2933303117752075,
        0.29327747225761414,
        0.2932851016521454,
        0.2935886085033417,
        0.29386237263679504,
        0.293512761592865,
        0.29382264614105225,
        0.2938867509365082,
        0.29373815655708313,
        0.29355230927467346,
        0.2936199903488159,
        0.293440580368042,
        0.29397156834602356,
        0.293902724981308,
        0.29428181052207947,
        0.29382407665252686,
        0.2943604290485382,
        0.29440370202064514,
        0.29454365372657776,
        0.2944924235343933,
        0.29464060068130493,
        0.2949000298976898,
        0.29363399744033813,
        0.29330483078956604,
        0.29291537404060364,
        0.2928699851036072,
        0.2918245494365692,
        0.29237574338912964,
        0.29166218638420105,
        0.29121261835098267,
        0.29092252254486084,
        0.2894851267337799,
        0.2900909185409546,
        0.2906486392021179,
        0.2930799424648285,
        0.29498305916786194,
        0.29330796003341675,
        0.29165536165237427,
        0.2853582799434662,
        0.2810521721839905,
        0.28143569827079773,
        0.27971577644348145,
        0.27193915843963623,
        0.2736743092536926,
        0.26931023597717285,
        0.26915690302848816,
        0.26570799946784973,
        0.2662397027015686,
        0.2645668089389801,
        0.26569128036499023,
        0.2634234130382538,
        0.26515382528305054,
        0.2643432021141052,
        0.26439139246940613,
        0.2643371522426605,
        0.2640339136123657,
        0.26386013627052307,
        0.26559633016586304,
        0.26727816462516785,
        0.2678992450237274,
        0.26626747846603394,
        0.26746347546577454,
        0.2665257751941681,
        0.2648414969444275,
        0.2638481855392456,
        0.2631830871105194,
        0.26300010085105896,
        0.2629115581512451,
        0.26242905855178833,
        0.26169270277023315,
        0.2614952623844147,
        0.2619493007659912,
        0.26242220401763916,
        0.2631497085094452,
        0.26280471682548523,
        0.2635745704174042,
        0.2630288600921631,
        0.26227474212646484,
        0.26265811920166016,
        0.2634863555431366,
        0.26622840762138367,
        0.2670227289199829,
        0.2672072947025299,
        0.2687673568725586,
        0.26891881227493286,
        0.2690045237541199,
        0.26949524879455566,
        0.27058863639831543,
        0.2699573040008545,
        0.270433634519577,
        0.2715263366699219,
        0.27276167273521423,
        0.2726530134677887,
        0.2720450758934021,
        0.2725509703159332,
        0.27252840995788574,
        0.2728888690471649,
        0.27206146717071533,
        0.2728840708732605,
        0.27239561080932617,
        0.27200496196746826,
        0.2725171148777008,
        0.272840291261673,
        0.27320173382759094,
        0.2731584906578064,
        0.2731030583381653,
        0.2741709351539612,
        0.27372536063194275,
        0.2734365463256836,
        0.27383318543434143,
        0.27317896485328674,
        0.2735219895839691,
        0.2737526595592499,
        0.273519903421402,
        0.2737562358379364,
        0.27345743775367737,
        0.2732597589492798,
        0.27264320850372314,
        0.2723618447780609,
        0.27224859595298767,
        0.27190881967544556,
        0.2714846432209015,
        0.27143964171409607,
        0.2714259624481201,
        0.2714787721633911,
        0.27145665884017944,
        0.2718902826309204,
        0.27169713377952576,
        0.27187129855155945,
        0.27195078134536743,
        0.27164125442504883,
        0.2721523940563202,
        0.2722620964050293,
        0.2722516357898712,
        0.27271217107772827,
        0.27290356159210205,
        0.2733079493045807,
        0.27377524971961975,
        0.2738626301288605,
        0.27373620867729187,
        0.2735213339328766,
        0.273092657327652,
        0.2726052403450012,
        0.27221381664276123,
        0.272588849067688,
        0.2723182141780853,
        0.2727426588535309,
        0.27258944511413574,
        0.2727467715740204,
        0.27274805307388306,
        0.273042768239975,
        0.2725779116153717,
        0.273024320602417,
        0.27226772904396057,
        0.27341803908348083,
        0.2735796570777893,
        0.2727969288825989,
        0.27296626567840576,
        0.2726539671421051,
        0.2736399471759796,
        0.27334338426589966,
        0.2746848464012146,
        0.27519848942756653,
        0.27506715059280396,
        0.27435511350631714,
        0.27409371733665466,
        0.27330878376960754,
        0.2727574110031128,
        0.26969489455223083,
        0.26949796080589294,
        0.2674361765384674,
        0.26734480261802673,
        0.26603302359580994,
        0.2602153420448303,
        0.262585312128067,
        0.25956982374191284,
        0.2593463361263275,
        0.25792157649993896,
        0.2574276626110077,
        0.2577791213989258,
        0.25542762875556946,
        0.24994874000549316,
        0.2509547173976898,
        0.24744436144828796,
        0.2503018081188202,
        0.2513692378997803,
        0.2507900595664978,
        0.24765993654727936,
        0.2837670147418976,
        0.2854677736759186,
        0.281507670879364,
        0.2654683291912079,
        0.26249536871910095,
        0.2571270763874054,
        0.24314552545547485,
        0.2530934512615204,
        0.253182977437973,
        0.24429349601268768,
        0.26695722341537476,
        0.26732519268989563,
        0.2856520712375641,
        0.28403276205062866,
        0.28186047077178955,
        0.28047195076942444,
        0.28534018993377686,
        0.28894245624542236,
        0.28410908579826355,
        0.28391432762145996,
        0.2843361496925354,
        0.2969388961791992,
        0.2969142496585846,
        0.2964063286781311,
        0.29610133171081543,
        0.29477399587631226,
        0.29430675506591797,
        0.29136577248573303,
        0.29153239727020264,
        0.29156816005706787,
        0.29602548480033875,
        0.29643917083740234,
        0.2962515354156494,
        0.29612937569618225,
        0.29650557041168213,
        0.29652559757232666,
        0.29624253511428833,
        0.29668885469436646,
        0.29568997025489807,
        0.2961543798446655,
        0.2958875000476837,
        0.2961536645889282,
        0.296593576669693,
        0.29661503434181213,
        0.2968246340751648,
        0.29631927609443665,
        0.29698672890663147,
        0.2961292862892151,
        0.2961878776550293,
        0.2961561381816864,
        0.296286404132843,
        0.2966060936450958,
        0.2962627708911896,
        0.29620131850242615,
        0.29654690623283386,
        0.2957029640674591,
        0.29608702659606934,
        0.2967904806137085,
        0.2960287630558014,
        0.29673534631729126,
        0.2971961498260498,
        0.2978662848472595,
        0.29809483885765076,
        0.2969890832901001,
        0.29746749997138977,
        0.29805001616477966,
        0.29749590158462524,
        0.29720690846443176,
        0.2971400320529938,
        0.29594099521636963,
        0.29604026675224304,
        0.2957756519317627,
        0.29575344920158386,
        0.2963321805000305,
        0.2965272068977356,
        0.2958032190799713,
        0.29531562328338623,
        0.2957863509654999,
        0.2961510121822357,
        0.29563969373703003,
        0.29570910334587097,
        0.2960622310638428,
        0.29598885774612427,
        0.29722869396209717,
        0.29535940289497375,
        0.29336869716644287,
        0.29206085205078125,
        0.2914389371871948,
        0.24773544073104858,
        0.24269218742847443,
        0.2775777280330658,
        0.29753637313842773,
        0.31559738516807556,
        0.31268155574798584,
        0.30210915207862854,
        0.30889278650283813,
        0.325212687253952,
        0.33057576417922974,
        0.3428228795528412,
        0.3624099791049957,
        0.37353745102882385,
        0.3524790108203888,
        0.35118356347084045,
        0.3773961365222931,
        0.37899085879325867,
        0.3760170042514801,
        0.38143283128738403,
        0.3874565064907074,
        0.3703746497631073,
        0.3867207169532776,
        0.3860349655151367,
        0.3778969347476959,
        0.37291181087493896,
        0.36851340532302856,
        0.37741440534591675,
        0.3854697346687317,
        0.3937623202800751,
        0.3940575122833252,
        0.3806471824645996,
        0.37647753953933716,
        0.3815571963787079,
        0.382004976272583,
        0.3843774199485779,
        0.37686285376548767,
        0.3752592206001282,
        0.3692322373390198,
        0.3673425018787384,
        0.3716021478176117,
        0.37165629863739014,
        0.37539345026016235,
        0.384896844625473,
        0.3910345435142517,
        0.383022665977478,
        0.3811754882335663,
        0.3813934922218323,
        0.376746267080307,
        0.3733313977718353,
        0.3703834116458893,
        0.37095752358436584,
        0.3689703941345215,
        0.36866024136543274,
        0.3692816197872162,
        0.36718910932540894,
        0.36856019496917725,
        0.3683190941810608,
        0.3679051697254181,
        0.3685050904750824,
        0.36776334047317505,
        0.3682412803173065,
        0.36847856640815735,
        0.36741718649864197,
        0.36935505270957947,
        0.3679956793785095,
        0.36860254406929016,
        0.36809617280960083,
        0.36814460158348083,
        0.36807096004486084,
        0.3690762519836426,
        0.37036117911338806,
        0.3691442310810089,
        0.36898961663246155,
        0.37063804268836975,
        0.3691202700138092,
        0.37006843090057373,
        0.36964887380599976,
        0.36931493878364563,
        0.3693932294845581,
        0.370553195476532,
        0.37062811851501465,
        0.37085285782814026,
        0.3689042925834656,
        0.3696780502796173,
        0.3713594377040863,
        0.37038281559944153,
        0.37030622363090515,
        0.3709675967693329,
        0.37136900424957275,
        0.37080949544906616,
        0.3720150887966156,
        0.3706030249595642,
        0.3707093894481659,
        0.3705514669418335,
        0.36936935782432556,
        0.3693947196006775,
        0.37119442224502563,
        0.3692407011985779,
        0.36922839283943176,
        0.3695737421512604,
        0.3690856397151947,
        0.3713781237602234,
        0.3705543875694275,
        0.3704356551170349,
        0.3703594505786896,
        0.3706609606742859,
        0.37072235345840454,
        0.3725651204586029,
        0.37010496854782104,
        0.3705528974533081,
        0.3716377913951874,
        0.3706434667110443,
        0.3704063892364502,
        0.3703524172306061,
        0.37049901485443115,
        0.37109825015068054,
        0.3703731894493103,
        0.3695929944515228,
        0.3697676956653595,
        0.3696555495262146,
        0.3688349425792694,
        0.36998701095581055,
        0.369545578956604,
        0.3694043755531311,
        0.36926764249801636,
        0.36961498856544495,
        0.3688890039920807,
        0.36891138553619385,
        0.36888042092323303,
        0.3691824674606323,
        0.36970263719558716,
        0.37062180042266846,
        0.370300829410553,
        0.37087246775627136,
        0.3698960244655609,
        0.370403915643692,
        0.368706077337265,
        0.3689437508583069,
        0.36772552132606506,
        0.36810964345932007,
        0.3676791489124298,
        0.36812177300453186,
        0.36781853437423706,
        0.3695063591003418,
        0.36958324909210205,
        0.3690609931945801,
        0.3706575036048889,
        0.3713778257369995,
        0.3719967007637024,
        0.37177133560180664,
        0.3725655674934387,
        0.3752962350845337,
        0.37891289591789246,
        0.38118162751197815,
        0.3834667503833771,
        0.3883480429649353,
        0.39246243238449097,
        0.3948891758918762,
        0.3987083435058594,
        0.4012346565723419,
        0.40802597999572754,
        0.40985041856765747,
        0.41790860891342163,
        0.4204747974872589,
        0.42469194531440735,
        0.4177645146846771,
        0.41630998253822327,
        0.43019652366638184,
        0.4289361238479614,
        0.43883416056632996,
        0.44170981645584106,
        0.4488045573234558,
        0.45510390400886536,
        0.4560803771018982,
        0.4553232192993164,
        0.45983055233955383,
        0.46081364154815674,
        0.4606340229511261,
        0.46458569169044495,
        0.46832340955734253,
        0.4744738042354584,
        0.4797244668006897,
        0.48013368248939514,
        0.48052874207496643,
        0.4853437840938568,
        0.48272377252578735,
        0.48485589027404785,
        0.4848448634147644,
        0.4886206090450287,
        0.4914427697658539,
        0.4903614819049835,
        0.488577276468277,
        0.49380114674568176,
        0.49028676748275757,
        0.4911998510360718,
        0.48892438411712646,
        0.4926687180995941,
        0.49435749650001526,
        0.43507203459739685,
        0.44777271151542664,
        0.4371034502983093,
        0.43742886185646057,
        0.412137508392334,
        0.4200400412082672,
        0.42877882719039917,
        0.4342379868030548,
        0.4462853670120239,
        0.4561055898666382,
        0.4517456591129303,
        0.4654800295829773,
        0.4645920991897583,
        0.4584653675556183,
        0.45460620522499084,
        0.45000019669532776,
        0.4381121098995209,
        0.4314218759536743,
        0.4163217544555664,
        0.4080341160297394,
        0.39777275919914246,
        0.3872493803501129,
        0.38080576062202454,
        0.3513781428337097,
        0.3527534306049347,
        0.33157557249069214,
        0.34064462780952454,
        0.3209756016731262,
        0.2918151319026947,
        0.2582595944404602,
        0.27897313237190247,
        0.28512585163116455,
        0.3037682771682739,
        0.29538068175315857,
        0.29579517245292664,
        0.29410362243652344,
        0.2954958975315094,
        0.2958109676837921,
        0.2964813709259033,
        0.2966630160808563,
        0.29651060700416565,
        0.2962307035923004,
        0.2955034375190735,
        0.2957453727722168,
        0.2954154908657074,
        0.2956162393093109,
        0.2955248951911926,
        0.29521244764328003,
        0.2951025366783142,
        0.2948233187198639,
        0.294553279876709,
        0.294674813747406,
        0.29428601264953613,
        0.2945716381072998,
        0.2944461405277252,
        0.29370975494384766,
        0.29394784569740295,
        0.29344820976257324,
        0.29382315278053284,
        0.2938437759876251,
        0.29429560899734497,
        0.29490914940834045,
        0.2939024269580841,
        0.294203519821167,
        0.2938387989997864,
        0.2942652702331543,
        0.2940760850906372,
        0.2940654456615448,
        0.29361462593078613,
        0.29432275891304016,
        0.29455456137657166,
        0.2942887246608734,
        0.29369255900382996,
        0.2935619652271271,
        0.2940211296081543,
        0.2940531075000763,
        0.29383817315101624,
        0.29383397102355957,
        0.29382115602493286,
        0.29387152194976807,
        0.29426395893096924,
        0.2942377030849457,
        0.2933821380138397,
        0.29416877031326294,
        0.2947176396846771,
        0.2945179343223572,
        0.29461669921875,
        0.29405200481414795,
        0.2944154739379883,
        0.29421505331993103,
        0.2939918339252472,
        0.2941528558731079,
        0.29374879598617554,
        0.2941729724407196,
        0.29463207721710205,
        0.29379069805145264,
        0.29538455605506897,
        0.2718336880207062,
        0.28706756234169006,
        0.27645066380500793,
        0.3395993113517761,
        0.3203689455986023,
        0.2955636978149414,
        0.29335272312164307,
        0.29320046305656433,
        0.31098970770835876,
        0.3092040419578552,
        0.3225184381008148,
        0.29936593770980835,
        0.37403997778892517,
        0.398906409740448,
        0.43562445044517517,
        0.4629957973957062,
        0.5005540251731873,
        0.515298068523407,
        0.5252450704574585,
        0.5346653461456299,
        0.5325090885162354,
        0.5383871793746948,
        0.536353349685669,
        0.5304969549179077,
        0.5127636790275574,
        0.4973267614841461,
        0.49544116854667664,
        0.5026867985725403,
        0.5165795683860779,
        0.6142443418502808,
        0.634926438331604,
        0.6198807954788208,
        0.6324371099472046,
        0.6415197253227234,
        0.6379545331001282,
        0.6242085099220276,
        0.6166639924049377,
        0.6137139797210693,
        0.609089195728302,
        0.6079068183898926,
        0.6062644124031067,
        0.605229377746582,
        0.6027011275291443,
        0.5987686514854431,
        0.5951002836227417,
        0.5945063829421997,
        0.5970087051391602,
        0.5966982841491699,
        0.5916536450386047,
        0.5891050100326538,
        0.5877125263214111,
        0.5872107148170471,
        0.5796926617622375,
        0.5813344717025757,
        0.5820468068122864,
        0.5803595781326294,
        0.581088662147522,
        0.5837889313697815,
        0.5818883776664734,
        0.578838050365448,
        0.5798966288566589,
        0.5814966559410095,
        0.580947756767273,
        0.5811471343040466,
        0.580184817314148,
        0.5803113579750061,
        0.5801581144332886,
        0.5821003317832947,
        0.5830081701278687,
        0.5784003138542175,
        0.5760831832885742,
        0.5776895880699158,
        0.5782611966133118,
        0.5792251825332642,
        0.5778908729553223,
        0.5808924436569214,
        0.577553927898407,
        0.5719998478889465,
        0.5761010050773621,
        0.578295111656189,
        0.5764515995979309,
        0.5685085654258728,
        0.5693511366844177,
        0.5708184242248535,
        0.5703737139701843,
        0.5669987201690674,
        0.5656104683876038,
        0.563963770866394,
        0.5585594773292542,
        0.5573399662971497,
        0.5550167560577393,
        0.5500797629356384,
        0.5517980456352234,
        0.5465591549873352,
        0.5392585396766663,
        0.5377634763717651,
        0.5319374203681946,
        0.5296304821968079,
        0.5320543646812439,
        0.5250460505485535,
        0.5202655792236328,
        0.5138027667999268,
        0.5080886483192444,
        0.4970795512199402,
        0.4883224368095398,
        0.4592757821083069,
        0.43484264612197876,
        0.4174829125404358,
        0.41081729531288147,
        0.3992266356945038,
        0.38107767701148987,
        0.3744615316390991,
        0.3685002624988556,
        0.3684183359146118,
        0.39193713665008545,
        0.3720541298389435,
        0.3893827199935913,
        0.39187341928482056,
        0.38035905361175537,
        0.3916923701763153,
        0.39123982191085815,
        0.3994387984275818,
        0.39773446321487427,
        0.3980085253715515,
        0.39959272742271423,
        0.40268996357917786,
        0.40195414423942566,
        0.4013586640357971,
        0.39856842160224915,
        0.39840418100357056,
        0.39718174934387207,
        0.3963620364665985,
        0.39543241262435913,
        0.3938992917537689,
        0.3936707079410553,
        0.3931964635848999,
        0.3947945535182953,
        0.3943585455417633,
        0.39494016766548157,
        0.39488333463668823,
        0.395150363445282,
        0.3951166868209839,
        0.3961345851421356,
        0.3965848386287689,
        0.3971700072288513,
        0.4000319838523865,
        0.4033906161785126,
        0.40326470136642456,
        0.4171306788921356,
        0.39107099175453186,
        0.37728235125541687,
        0.3548317849636078,
        0.33740589022636414,
        0.2800244390964508,
        0.29056501388549805,
        0.29497838020324707,
        0.30677324533462524,
        0.31813427805900574,
        0.33217981457710266,
        0.34720200300216675,
        0.3578731119632721,
        0.35956841707229614,
        0.3563944101333618,
        0.355947345495224,
        0.36504775285720825,
        0.36844977736473083,
        0.3689171373844147,
        0.3707931339740753,
        0.37290623784065247,
        0.3672952651977539,
        0.36994752287864685,
        0.3772431015968323,
        0.37813735008239746,
        0.3479228615760803,
        0.3470989167690277,
        0.34418347477912903,
        0.3455989956855774,
        0.29488179087638855,
        0.2745460867881775,
        0.2740705609321594,
        0.27484890818595886,
        0.2807770371437073,
        0.28616857528686523,
        0.2960129678249359,
        0.2984541952610016,
        0.29576554894447327,
        0.29627206921577454,
        0.2961365580558777,
        0.2960768938064575,
        0.2959688603878021,
        0.2958260774612427,
        0.2959597706794739,
        0.29633042216300964,
        0.2965022027492523,
        0.296283483505249,
        0.29643118381500244,
        0.29643338918685913,
        0.296318918466568,
        0.2966066598892212,
        0.2963845729827881,
        0.29680773615837097,
        0.2966253459453583,
        0.2963162660598755,
        0.29634636640548706,
        0.2966402769088745,
        0.29651370644569397,
        0.2965846359729767,
        0.29593661427497864,
        0.29630449414253235,
        0.2963331639766693,
        0.29649803042411804,
        0.2962566912174225,
        0.29637810587882996,
        0.296272873878479,
        0.29665035009384155,
        0.29639288783073425,
        0.29643723368644714,
        0.2960403561592102,
        0.2967602610588074,
        0.296272337436676,
        0.29663869738578796,
        0.29606369137763977,
        0.296283483505249,
        0.29666560888290405,
        0.296239972114563,
        0.2962314486503601,
        0.2960937023162842,
        0.2965918481349945,
        0.29603374004364014,
        0.29643526673316956,
        0.2960244119167328,
        0.2963068187236786,
        0.2967834770679474,
        0.2955173850059509,
        0.2964860200881958,
        0.2966775894165039,
        0.29614168405532837,
        0.29598167538642883,
        0.2953983545303345,
        0.29524827003479004,
        0.2977469563484192,
        0.2870309054851532,
        0.2711523473262787,
        0.300319641828537,
        0.2853374481201172,
        0.3159831166267395,
        0.30892181396484375,
        0.33143773674964905,
        0.35600167512893677,
        0.34835177659988403,
        0.3391789197921753,
        0.330839067697525,
        0.3380931615829468,
        0.31739816069602966,
        0.2938622832298279,
        0.3430913984775543,
        0.34254884719848633,
        0.33108222484588623,
        0.35824596881866455,
        0.36986568570137024,
        0.37077227234840393,
        0.3690994083881378,
        0.36513572931289673,
        0.36005157232284546,
        0.3585628867149353,
        0.35912829637527466,
        0.3599029779434204,
        0.3611578047275543,
        0.3588489890098572,
        0.3579756021499634,
        0.3574371635913849,
        0.35796016454696655,
        0.3577605187892914,
        0.3585420846939087,
        0.357807993888855,
        0.3575519025325775,
        0.3575357496738434,
        0.3570905327796936,
        0.3564838767051697,
        0.3569610118865967,
        0.3567180931568146,
        0.3567374050617218,
        0.357082337141037,
        0.3573434352874756,
        0.3569200038909912,
        0.3559236228466034,
        0.35594630241394043,
        0.35521864891052246,
        0.35594141483306885,
        0.3559127748012543,
        0.3561592400074005,
        0.3572106659412384,
        0.35690703988075256,
        0.3573750853538513,
        0.3573559820652008,
        0.35836002230644226,
        0.35911858081817627,
        0.3593558073043823,
        0.35953569412231445,
        0.3590528964996338,
        0.35948118567466736,
        0.35850632190704346,
        0.35950541496276855,
        0.36035972833633423,
        0.3563818633556366,
        0.3551003336906433,
        0.3536336123943329,
        0.34664034843444824,
        0.3439803421497345,
        0.34100067615509033,
        0.33512455224990845,
        0.3296504318714142,
        0.3251660466194153,
        0.3254200518131256,
        0.3234994113445282,
        0.32201600074768066,
        0.32099443674087524,
        0.3195074200630188,
        0.3189583122730255,
        0.3196895718574524,
        0.3197203576564789,
        0.31954053044319153,
        0.3182050287723541,
        0.3143113851547241,
        0.31009384989738464,
        0.30671343207359314,
        0.3052799105644226,
        0.30424782633781433,
        0.30250176787376404,
        0.3020476996898651,
        0.30075404047966003,
        0.2991533577442169,
        0.29929080605506897,
        0.2989434003829956,
        0.29976949095726013,
        0.29769161343574524,
        0.29793021082878113,
        0.295966237783432,
        0.2978563904762268,
        0.29916492104530334,
        0.29866161942481995,
        0.2984780967235565,
        0.29752016067504883,
        0.2984046936035156,
        0.2987888753414154,
        0.29830846190452576,
        0.2976016402244568,
        0.2980315387248993,
        0.29867449402809143,
        0.29870015382766724,
        0.29825520515441895,
        0.299268513917923,
        0.29921695590019226,
        0.29841598868370056,
        0.29857465624809265,
        0.2985793948173523,
        0.29816240072250366,
        0.29833194613456726,
        0.29796212911605835,
        0.2974645793437958,
        0.2989750802516937,
        0.3013986647129059,
        0.2996763288974762,
        0.298015296459198,
        0.29798367619514465,
        0.29746878147125244,
        0.3012644946575165,
        0.2696645259857178,
        0.22479921579360962,
        0.20273570716381073,
        0.2086855173110962,
        0.2200147807598114,
        0.24045918881893158,
        0.24580880999565125,
        0.26446443796157837,
        0.26648950576782227,
        0.28052690625190735,
        0.28246092796325684,
        0.29394659399986267,
        0.2846474349498749,
        0.2923218607902527,
        0.2812216877937317,
        0.2984205186367035,
        0.3017939627170563,
        0.28895047307014465,
        0.29010209441185,
        0.2946506142616272,
        0.29481810331344604,
        0.29450252652168274,
        0.2947763204574585,
        0.2945108115673065,
        0.2945103943347931,
        0.2944469451904297,
        0.2941208779811859,
        0.29467305541038513,
        0.29427701234817505,
        0.29448333382606506,
        0.29418662190437317,
        0.2942366898059845,
        0.2946772575378418,
        0.2940727174282074,
        0.2940838634967804,
        0.29421091079711914,
        0.2943492829799652,
        0.2951911985874176,
        0.29570865631103516,
        0.29570698738098145,
        0.29514065384864807,
        0.295742928981781,
        0.2953239679336548,
        0.2948068678379059,
        0.29465147852897644,
        0.2947070300579071,
        0.29451802372932434,
        0.2946116626262665,
        0.29576388001441956,
        0.2948801815509796,
        0.2570420801639557,
        0.23431015014648438,
        0.2672242820262909,
        0.2911914587020874,
        0.32037314772605896,
        0.31767889857292175,
        0.2818789482116699,
        0.28646185994148254,
        0.28380557894706726,
        0.2619517743587494,
        0.2546282410621643,
        0.24808014929294586,
        0.25061699748039246,
        0.23753423988819122,
        0.23529258370399475,
        0.22786806523799896,
        0.2273971289396286,
        0.2251901477575302,
        0.21815690398216248,
        0.2143988311290741,
        0.21578294038772583,
        0.21373172104358673,
        0.21102748811244965,
        0.21337631344795227,
        0.21256834268569946,
        0.20790797472000122,
        0.21135781705379486,
        0.21371342241764069,
        0.2156665325164795,
        0.21804161369800568,
        0.23853757977485657,
        0.23020720481872559,
        0.23262986540794373,
        0.23806524276733398,
        0.2693553566932678,
        0.28783801198005676,
        0.28905031085014343,
        0.2903820276260376,
        0.2930002510547638,
        0.30473634600639343,
        0.3178786635398865,
        0.33390697836875916,
        0.34126564860343933,
        0.34987667202949524,
        0.35458633303642273,
        0.35728350281715393,
        0.3612096905708313,
        0.36478325724601746,
        0.36647093296051025,
        0.37010714411735535,
        0.3723062574863434,
        0.375741571187973,
        0.3762166500091553,
        0.3787435293197632,
        0.38252437114715576,
        0.37961748242378235,
        0.37885555624961853,
        0.3798190653324127,
        0.37478435039520264,
        0.3838437497615814,
        0.37466421723365784,
        0.3530527949333191,
        0.28181102871894836,
        0.30233368277549744,
        0.30662801861763,
        0.32012230157852173,
        0.3295345604419708,
        0.33409157395362854,
        0.34160155057907104,
        0.3467457890510559,
        0.33778342604637146,
        0.3465895652770996,
        0.3299964666366577,
        0.33646252751350403,
        0.30989301204681396,
        0.32614004611968994,
        0.30380505323410034,
        0.3087386190891266,
        0.2992349863052368,
        0.2935965061187744,
        0.2973826825618744,
        0.297545850276947,
        0.29821085929870605,
        0.2983199954032898,
        0.2977951765060425,
        0.297809362411499,
        0.29770854115486145,
        0.29758891463279724,
        0.296321302652359,
        0.2961072623729706,
        0.2960236966609955,
        0.29592597484588623,
        0.29603311419487,
        0.2965863049030304,
        0.2956387996673584,
        0.29585814476013184,
        0.2964768409729004,
        0.2960110008716583,
        0.29610952734947205,
        0.29646581411361694,
        0.2965453565120697,
        0.29678624868392944,
        0.29658135771751404,
        0.29751020669937134,
        0.29766845703125,
        0.29833370447158813,
        0.2964809834957123,
        0.29660564661026,
        0.2968074381351471,
        0.2957962155342102,
        0.2962760031223297,
        0.29663118720054626,
        0.2961953580379486,
        0.2964438796043396,
        0.29607266187667847,
        0.2958133816719055,
        0.2953382730484009,
        0.2900426387786865,
        0.29960089921951294,
        0.3255576193332672,
        0.32348278164863586,
        0.33280664682388306,
        0.3277929723262787,
        0.3405962884426117,
        0.37316766381263733,
        0.37754395604133606,
        0.36062005162239075,
        0.37012720108032227,
        0.3701634705066681,
        0.37005582451820374,
        0.3645426630973816,
        0.3663446605205536,
        0.35957595705986023,
        0.4009222984313965,
        0.39713054895401,
        0.40498319268226624,
        0.40523242950439453,
        0.39947250485420227,
        0.39389121532440186,
        0.3945459723472595,
        0.4001055061817169,
        0.39965370297431946,
        0.398933082818985,
        0.40272223949432373,
        0.40020135045051575,
        0.399545282125473,
        0.3988152742385864,
        0.39919185638427734,
        0.3999539017677307,
        0.39937254786491394,
        0.3987500071525574,
        0.39711982011795044,
        0.3968367278575897,
        0.3961200416088104,
        0.3948337733745575,
        0.39465242624282837,
        0.3943771719932556,
        0.3954572379589081,
        0.39533159136772156,
        0.39525431394577026,
        0.39531952142715454,
        0.3955535888671875,
        0.39533567428588867,
        0.39413344860076904,
        0.39398229122161865,
        0.39382603764533997,
        0.39441871643066406,
        0.3943253755569458,
        0.3941217362880707,
        0.3933704197406769,
        0.39394813776016235,
        0.39431366324424744,
        0.3946828246116638,
        0.39407268166542053,
        0.39393988251686096,
        0.3944399654865265,
        0.39435139298439026,
        0.3946774899959564,
        0.3944890797138214,
        0.3946964740753174,
        0.39453521370887756,
        0.3941783607006073,
        0.394784539937973,
        0.3940310776233673,
        0.39440450072288513,
        0.3942180573940277,
        0.39406532049179077,
        0.3940969407558441,
        0.39363306760787964,
        0.3939376175403595,
        0.3936704993247986,
        0.3933280110359192,
        0.39256995916366577,
        0.39240971207618713,
        0.39351126551628113,
        0.3935154676437378,
        0.3930601179599762,
        0.39277276396751404,
        0.3919404149055481,
        0.39276668429374695,
        0.39288997650146484,
        0.3928065598011017,
        0.3925014138221741,
        0.3922593891620636,
        0.39321672916412354,
        0.39294368028640747,
        0.3925497531890869,
        0.39193055033683777,
        0.39187854528427124,
        0.3918572664260864,
        0.39157000184059143,
        0.3917839825153351,
        0.39241352677345276,
        0.392782986164093,
        0.39303281903266907,
        0.3935932517051697,
        0.39267247915267944,
        0.3925779163837433,
        0.3925323486328125,
        0.3930510878562927,
        0.3935646116733551,
        0.39461755752563477,
        0.3938599228858948,
        0.39377859234809875,
        0.3924074172973633,
        0.38663575053215027,
        0.38762590289115906,
        0.3907392621040344,
        0.39261484146118164,
        0.3916666507720947,
        0.39186763763427734,
        0.3910282254219055,
        0.39206889271736145,
        0.3910549283027649,
        0.39197835326194763,
        0.3919195532798767,
        0.3925013542175293,
        0.3911135494709015,
        0.39115390181541443,
        0.39119136333465576,
        0.38775354623794556,
        0.38988763093948364,
        0.3904918134212494,
        0.39100557565689087,
        0.3909638524055481,
        0.39160487055778503,
        0.3918639123439789,
        0.39122772216796875,
        0.3915761113166809,
        0.3914106488227844,
        0.39185571670532227,
        0.39136803150177,
        0.3910875618457794,
        0.3905212879180908,
        0.39006680250167847,
        0.39017629623413086,
        0.3915325701236725,
        0.39336585998535156,
        0.39416295289993286,
        0.3944687247276306,
        0.3961455821990967,
        0.3981260061264038,
        0.3999395966529846,
        0.39545825123786926,
        0.3996592164039612,
        0.4000886082649231,
        0.4020499289035797,
        0.3956218361854553,
        0.3924289643764496,
        0.3855228126049042,
        0.3802063763141632,
        0.3730752766132355,
        0.35200175642967224,
        0.3490596413612366,
        0.3556385040283203,
        0.35290372371673584,
        0.3560638129711151,
        0.3581559658050537,
        0.35971564054489136,
        0.3572407364845276,
        0.35465288162231445,
        0.35313746333122253,
        0.3495701551437378,
        0.32658442854881287,
        0.34851354360580444,
        0.33584165573120117,
        0.355775386095047,
        0.35312551259994507,
        0.34280720353126526,
        0.3192848563194275,
        0.28575068712234497,
        0.2984466254711151,
        0.2955130338668823,
        0.30150356888771057,
        0.3017910122871399,
        0.3014129400253296,
        0.3014114201068878,
        0.3014894127845764,
        0.301497220993042,
        0.30106469988822937,
        0.3001241087913513,
        0.300672322511673,
        0.3014681935310364,
        0.301469624042511,
        0.3015660345554352,
        0.3014354705810547,
        0.30202528834342957,
        0.30179810523986816,
        0.30200180411338806,
        0.30153515934944153,
        0.30210885405540466,
        0.30189254879951477,
        0.3017982244491577,
        0.30113014578819275,
        0.3011912703514099,
        0.3012789189815521,
        0.3014738857746124,
        0.3014090359210968,
        0.30106404423713684,
        0.3022206425666809,
        0.3018384873867035,
        0.30254632234573364,
        0.3029261827468872,
        0.26583245396614075,
        0.27863311767578125,
        0.3336872458457947,
        0.3227848410606384,
        0.3225046694278717,
        0.3478788137435913,
        0.35589033365249634,
        0.3854885995388031,
        0.3466319143772125,
        0.37128373980522156,
        0.3705293536186218,
        0.3662492334842682,
        0.3578450679779053,
        0.35681992769241333,
        0.349863737821579,
        0.3670639395713806,
        0.3645116984844208,
        0.3638654053211212,
        0.36301156878471375,
        0.3684694766998291,
        0.3728958070278168,
        0.3696043789386749,
        0.3682442307472229,
        0.36957961320877075,
        0.37316012382507324,
        0.3737582564353943,
        0.37518078088760376,
        0.37771889567375183,
        0.3787516951560974,
        0.37810608744621277,
        0.376507043838501,
        0.3830036222934723,
        0.37351754307746887,
        0.3736642897129059,
        0.3784855902194977,
        0.37429532408714294,
        0.37015655636787415,
        0.372251957654953,
        0.3688886761665344,
        0.3765268623828888,
        0.3758644163608551,
        0.372945636510849,
        0.3729480803012848,
        0.3733910918235779,
        0.3716522753238678,
        0.3714900612831116,
        0.3702597916126251,
        0.3681696057319641,
        0.3683425486087799,
        0.36840522289276123,
        0.3679794669151306,
        0.3675442337989807,
        0.3671782314777374,
        0.3719865083694458,
        0.3739568889141083,
        0.3735959231853485,
        0.3738361895084381,
        0.37456563115119934,
        0.37362197041511536,
        0.3727002441883087,
        0.37622442841529846,
        0.3762966990470886,
        0.3765232563018799,
        0.3774307072162628,
        0.37817326188087463,
        0.37803390622138977,
        0.3788519501686096,
        0.3767816126346588,
        0.3771072328090668,
        0.37885889410972595,
        0.37885159254074097,
        0.37896960973739624,
        0.37975600361824036,
        0.3794063329696655,
        0.3794187307357788,
        0.37892937660217285,
        0.3798060119152069,
        0.37831175327301025,
        0.37847620248794556,
        0.37781208753585815,
        0.37695780396461487,
        0.37821441888809204,
        0.37997984886169434,
        0.3737969696521759,
        0.371903657913208,
        0.3758220672607422,
        0.3745672106742859,
        0.36440882086753845,
        0.35397064685821533,
        0.3441139757633209,
        0.33185526728630066,
        0.32468730211257935,
        0.3127552568912506,
        0.33208462595939636,
        0.32795003056526184,
        0.317497193813324,
        0.32325026392936707,
        0.3126503825187683,
        0.3149295747280121,
        0.3098548650741577,
        0.2835966944694519,
        0.31395816802978516,
        0.2727726697921753,
        0.2729445993900299,
        0.2863389253616333,
        0.29555922746658325,
        0.2965034246444702,
        0.29659387469291687,
        0.29663369059562683,
        0.2966971695423126,
        0.29694512486457825,
        0.29650598764419556,
        0.29652005434036255,
        0.29666054248809814,
        0.2961898148059845,
        0.2963345944881439,
        0.29643484950065613,
        0.2963498830795288,
        0.2965022623538971,
        0.29523828625679016,
        0.29523152112960815,
        0.2969386577606201,
        0.2966499328613281,
        0.29642656445503235,
        0.29606786370277405,
        0.29643669724464417,
        0.2962295711040497,
        0.2962866723537445,
        0.29610174894332886,
        0.29738086462020874,
        0.29804420471191406,
        0.29818060994148254,
        0.29695671796798706,
        0.2951461374759674,
        0.29589399695396423,
        0.2969469130039215,
        0.29627105593681335,
        0.29590538144111633,
        0.2966354489326477,
        0.29654550552368164,
        0.29572105407714844,
        0.2960350811481476,
        0.2961723208427429,
        0.29631683230400085,
        0.2963254451751709,
        0.29586800932884216,
        0.2961912155151367,
        0.29634585976600647,
        0.296512246131897,
        0.29624390602111816,
        0.2866552472114563,
        0.29633161425590515,
        0.3187621235847473,
        0.35397425293922424,
        0.36367592215538025,
        0.3778584897518158,
        0.3796256482601166,
        0.37180760502815247,
        0.36615827679634094,
        0.38372179865837097,
        0.37975814938545227,
        0.3722630441188812,
        0.37642011046409607,
        0.3658866882324219,
        0.3639925718307495,
        0.35390034317970276,
        0.3504796624183655,
        0.3411528170108795,
        0.371971994638443,
        0.38714829087257385,
        0.39552757143974304,
        0.3966538906097412,
        0.3978143632411957,
        0.39228934049606323,
        0.3975413739681244,
        0.3972807228565216,
        0.3933868706226349,
        0.3923209309577942,
        0.3921566605567932,
        0.39129218459129333,
        0.39077579975128174,
        0.3901982605457306,
        0.38933148980140686,
        0.38959255814552307,
        0.38960379362106323,
        0.3886873126029968,
        0.3879157602787018,
        0.387220174074173,
        0.3868846297264099,
        0.38678687810897827,
        0.3868366479873657,
        0.3868500292301178,
        0.38737669587135315,
        0.3874489665031433,
        0.387625128030777,
        0.38723674416542053,
        0.38705888390541077,
        0.38691145181655884,
        0.3869501054286957,
        0.38622334599494934,
        0.3858991861343384,
        0.3851567506790161,
        0.3846924304962158,
        0.38457629084587097,
        0.38487473130226135,
        0.3848939836025238,
        0.38528263568878174,
        0.38528361916542053,
        0.38565123081207275,
        0.38644587993621826,
        0.387785404920578,
        0.3861287534236908,
        0.3856391906738281,
        0.3797098696231842,
        0.38293638825416565,
        0.38322654366493225,
        0.3737703263759613,
        0.36714527010917664,
        0.3653942048549652,
        0.3628779947757721,
        0.35648447275161743,
        0.35701119899749756,
        0.3548261523246765,
        0.35757407546043396,
        0.34281784296035767,
        0.34187835454940796,
        0.34082144498825073,
        0.3417203426361084,
        0.3422878086566925,
        0.34086865186691284,
        0.3416721820831299,
        0.3403945863246918,
        0.33932116627693176,
        0.33928459882736206,
        0.3381413221359253,
        0.33798083662986755,
        0.3375260829925537,
        0.33752551674842834,
        0.3386501669883728,
        0.336976021528244,
        0.33738571405410767,
        0.33803027868270874,
        0.34020328521728516,
        0.3400232195854187,
        0.3380250632762909,
        0.33849549293518066,
        0.34057095646858215,
        0.3378294110298157,
        0.33872419595718384,
        0.33978113532066345,
        0.3388534188270569,
        0.3425898849964142,
        0.34281089901924133,
        0.3428516387939453,
        0.34244418144226074,
        0.34024396538734436,
        0.3412333130836487,
        0.3416826128959656,
        0.3422938585281372,
        0.3422262370586395,
        0.3429025411605835,
        0.34296032786369324,
        0.3423323929309845,
        0.34293535351753235,
        0.3430054485797882,
        0.3461177349090576,
        0.34500429034233093,
        0.348390132188797,
        0.34516674280166626,
        0.34735265374183655,
        0.34715595841407776,
        0.35559019446372986,
        0.35857659578323364,
        0.36161065101623535,
        0.35614922642707825,
        0.37296611070632935,
        0.35314592719078064,
        0.3262312710285187,
        0.336914986371994,
        0.33721214532852173,
        0.3371613025665283,
        0.335995614528656,
        0.3323335349559784,
        0.3240838050842285,
        0.28074178099632263,
        0.30041030049324036,
        0.3006848096847534,
        0.3009873330593109,
        0.3005540072917938,
        0.30045437812805176,
        0.3000868260860443,
        0.3006557822227478,
        0.3009543716907501,
        0.3009050488471985,
        0.30080556869506836,
        0.3005598485469818,
        0.3002409040927887,
        0.3007887303829193,
        0.30101457238197327,
        0.30099010467529297,
        0.30052995681762695,
        0.30196115374565125,
        0.30143800377845764,
        0.3020833730697632,
        0.3018820285797119,
        0.30200129747390747,
        0.300414502620697,
        0.30034974217414856,
        0.3006175756454468,
        0.3002203702926636,
        0.28749406337738037,
        0.3053063452243805,
        0.33014485239982605,
        0.3498489558696747,
        0.3537631332874298,
        0.35107630491256714,
        0.3644183874130249,
        0.376095712184906,
        0.37446457147598267,
        0.3942255675792694,
        0.3743059039115906,
        0.3850764334201813,
        0.38622429966926575,
        0.3825224041938782,
        0.3771347403526306,
        0.38246774673461914,
        0.3744736909866333,
        0.37121203541755676,
        0.3622451722621918,
        0.38512784242630005,
        0.38559314608573914,
        0.3888413906097412,
        0.3903171420097351,
        0.3914523124694824,
        0.3922378718852997,
        0.38885483145713806,
        0.3880440592765808,
        0.3898637294769287,
        0.3867485523223877,
        0.3898594081401825,
        0.38861823081970215,
        0.38813889026641846,
        0.38711392879486084,
        0.3870629072189331,
        0.3868078887462616,
        0.38658595085144043,
        0.3861130475997925,
        0.38547348976135254,
        0.3849712610244751,
        0.3846307694911957,
        0.38442522287368774,
        0.3827179968357086,
        0.3839912414550781,
        0.3831408619880676,
        0.38316959142684937,
        0.38211268186569214,
        0.38218438625335693,
        0.38286492228507996,
        0.3831528127193451,
        0.3834415078163147,
        0.3835568428039551,
        0.38370782136917114,
        0.3835897445678711,
        0.38352084159851074,
        0.3834659457206726,
        0.3826022148132324,
        0.3830321133136749,
        0.38281652331352234,
        0.38283002376556396,
        0.3827551305294037,
        0.38293761014938354,
        0.383175253868103,
        0.3831798732280731,
        0.383358359336853,
        0.3835928738117218,
        0.383335679769516,
        0.3833359181880951,
        0.3837408423423767,
        0.3841080963611603,
        0.3844156265258789,
        0.38433659076690674,
        0.38499966263771057,
        0.3851417303085327,
        0.38718584179878235,
        0.386074036359787,
        0.3858889043331146,
        0.3874954879283905,
        0.3865750730037689,
        0.3812105059623718,
        0.37915778160095215,
        0.37642669677734375,
        0.3587867021560669,
        0.3509204387664795,
        0.3412652313709259,
        0.3412580192089081,
        0.3413633704185486,
        0.34866195917129517,
        0.33221685886383057,
        0.3365856111049652,
        0.33017033338546753,
        0.3288083076477051,
        0.30716773867607117,
        0.3015172481536865,
        0.28760144114494324,
        0.3075806498527527,
        0.2753440737724304,
        0.25364482402801514,
        0.29803961515426636,
        0.29731735587120056,
        0.29733383655548096,
        0.2979341149330139,
        0.29723432660102844,
        0.2958369255065918,
        0.29646605253219604,
        0.2961429953575134,
        0.2966374456882477,
        0.2962515950202942,
        0.29604923725128174,
        0.29600468277931213,
        0.2963593304157257,
        0.2964008152484894,
        0.2962516248226166,
        0.2963089942932129,
        0.2961258888244629,
        0.29657816886901855,
        0.2962310016155243,
        0.2961968779563904,
        0.296241819858551,
        0.2959764003753662,
        0.29584357142448425,
        0.2964451014995575,
        0.2968943119049072,
        0.29573261737823486,
        0.2963278591632843,
        0.2961820065975189,
        0.2877114713191986,
        0.28644824028015137,
        0.3073730170726776,
        0.3552636504173279,
        0.3695310950279236,
        0.3677331209182739,
        0.39296838641166687,
        0.39960312843322754,
        0.39178940653800964,
        0.3945537507534027,
        0.4063040316104889,
        0.4071804881095886,
        0.40736550092697144,
        0.4026857912540436,
        0.39737313985824585,
        0.4095888137817383,
        0.41656261682510376,
        0.4174211323261261,
        0.4304483234882355,
        0.4295397102832794,
        0.4247981905937195,
        0.41235703229904175,
        0.41586756706237793,
        0.4188457429409027,
        0.41846874356269836,
        0.41506803035736084,
        0.41605693101882935,
        0.41489481925964355,
        0.41156479716300964,
        0.41180798411369324,
        0.41248762607574463,
        0.410905122756958,
        0.4136040210723877,
        0.4134083092212677,
        0.413502961397171,
        0.41376110911369324,
        0.4139035642147064,
        0.4133101999759674,
        0.4112060070037842,
        0.4092152416706085,
        0.4086504280567169,
        0.4085850715637207,
        0.4076092541217804,
        0.40618592500686646,
        0.40685439109802246,
        0.4059430658817291,
        0.4058319330215454,
        0.40588900446891785,
        0.40559273958206177,
        0.4049466550350189,
        0.40473783016204834,
        0.40589916706085205,
        0.40621668100357056,
        0.4052674174308777,
        0.40568652749061584,
        0.4063557982444763,
        0.40461769700050354,
        0.405817449092865,
        0.405913382768631,
        0.40651819109916687,
        0.40805500745773315,
        0.4083557426929474,
        0.407362163066864,
        0.40661588311195374,
        0.40908166766166687,
        0.4079003930091858,
        0.4121968150138855,
        0.4111621379852295,
        0.40519315004348755,
        0.41311877965927124,
        0.4150141179561615,
        0.4135940670967102,
        0.41201695799827576,
        0.40856024622917175,
        0.4093955159187317,
        0.40284883975982666,
        0.4042762815952301,
        0.4026871919631958,
        0.4033842086791992,
        0.40351712703704834,
        0.4036020040512085,
        0.4037931561470032,
        0.40359246730804443,
        0.4022138714790344,
        0.40162405371665955,
        0.4018770456314087,
        0.4005666971206665,
        0.40164774656295776,
        0.4019169509410858,
        0.4020974338054657,
        0.4016079902648926,
        0.4018072783946991,
        0.4019363224506378,
        0.4018426835536957,
        0.4042869806289673,
        0.4057682454586029,
        0.4066697061061859,
        0.40842896699905396,
        0.40933218598365784,
        0.4114423096179962,
        0.41249096393585205,
        0.41265925765037537,
        0.4127187430858612,
        0.41297709941864014,
        0.41396966576576233,
        0.4136095345020294,
        0.4147006571292877,
        0.3945769667625427,
        0.39976969361305237,
        0.40136319398880005,
        0.40144386887550354,
        0.39564642310142517,
        0.390146940946579,
        0.38878583908081055,
        0.3727828860282898,
        0.3718738853931427,
        0.38231220841407776,
        0.3722783029079437,
        0.3782041668891907,
        0.3356657326221466,
        0.3486126661300659,
        0.35913968086242676,
        0.3533090054988861,
        0.34148329496383667,
        0.3209679424762726,
        0.31436818838119507,
        0.30924877524375916,
        0.30482903122901917,
        0.3014451563358307,
        0.3014640212059021,
        0.301277220249176,
        0.2999163866043091,
        0.2999498248100281,
        0.2999747693538666,
        0.2994474768638611,
        0.29964756965637207,
        0.3000115752220154,
        0.29970845580101013,
        0.29946279525756836,
        0.2996797561645508,
        0.3000798523426056,
        0.29960471391677856,
        0.2998126447200775,
        0.2995537519454956,
        0.2997150421142578,
        0.29997020959854126,
        0.29968148469924927,
        0.2996651232242584,
        0.29928651452064514,
        0.3001144528388977,
        0.30014923214912415,
        0.29967403411865234,
        0.299435555934906,
        0.2990131974220276,
        0.2994213402271271,
        0.3001164197921753,
        0.30809536576271057,
        0.2930815815925598,
        0.30492880940437317,
        0.33317044377326965,
        0.34239768981933594,
        0.3625054359436035,
        0.34427759051322937,
        0.37117964029312134,
        0.4011613130569458,
        0.4033892750740051,
        0.36854150891304016,
        0.35500815510749817,
        0.36099717020988464,
        0.3631582260131836,
        0.35993215441703796,
        0.38207656145095825,
        0.3961432874202728,
        0.4004133641719818,
        0.401298463344574,
        0.40149593353271484,
        0.39801540970802307,
        0.4021444320678711,
        0.401080459356308,
        0.40252944827079773,
        0.3997284173965454,
        0.3994184136390686,
        0.39974531531333923,
        0.39921343326568604,
        0.3975162208080292,
        0.39735880494117737,
        0.3955787420272827,
        0.39520302414894104,
        0.3944399654865265,
        0.3943866789340973,
        0.39452672004699707,
        0.39347076416015625,
        0.39363518357276917,
        0.3944109380245209,
        0.3940684199333191,
        0.39434629678726196,
        0.39635059237480164,
        0.3946787714958191,
        0.3951174020767212,
        0.39521071314811707,
        0.3953855633735657,
        0.3961411416530609,
        0.3961261510848999,
        0.39612501859664917,
        0.3967703580856323,
        0.39702993631362915,
        0.39747726917266846,
        0.3978632688522339,
        0.3973149061203003,
        0.40013548731803894,
        0.39178064465522766,
        0.39850857853889465,
        0.39799249172210693,
        0.3939785659313202,
        0.3874358832836151,
        0.36880314350128174,
        0.37059882283210754,
        0.36944109201431274,
        0.3671751916408539,
        0.3587840497493744,
        0.36308035254478455,
        0.3690650463104248,
        0.36867833137512207,
        0.35909897089004517,
        0.3471655547618866,
        0.3120209872722626,
        0.29960015416145325,
        0.3143361210823059,
        0.3548135757446289,
        0.3313668966293335,
        0.31458646059036255,
        0.2562122344970703,
        0.2712046205997467,
        0.24023887515068054,
        0.29723092913627625,
        0.29650527238845825,
        0.2960338294506073,
        0.29609382152557373,
        0.2963258922100067,
        0.29669713973999023,
        0.29635322093963623,
        0.2965780794620514,
        0.2967032492160797,
        0.2964281141757965,
        0.2964828610420227,
        0.2961534261703491,
        0.29654163122177124,
        0.29596778750419617,
        0.2958433926105499,
        0.29622724652290344,
        0.2959248721599579,
        0.2960145175457001,
        0.29659226536750793,
        0.2968288064002991,
        0.2962823212146759,
        0.2978115975856781,
        0.2977157533168793,
        0.29803091287612915,
        0.297285258769989,
        0.29595330357551575,
        0.2959497570991516,
        0.2959361672401428,
        0.29656368494033813,
        0.2972017228603363,
        0.29646968841552734,
        0.2962409555912018,
        0.2960450053215027,
        0.2958816885948181,
        0.29597291350364685,
        0.29567694664001465,
        0.29558223485946655,
        0.2957770526409149,
        0.29601189494132996,
        0.2958276867866516,
        0.295731782913208,
        0.2959216237068176,
        0.29573750495910645,
        0.29583337903022766,
        0.29552212357521057,
        0.2956588566303253,
        0.2959267795085907
    ]
}