[[{"header":{"parameterUnit":"m.s-1","parameterCategory":1,"la1":30.6,"la2":29.2853,"lo1":-89.7004,"lo2":-87.6739,"dy":0.0162,"dx":0.0183,"nx":112,"ny":82,"refTime":"2024-09-08T00:00:00:Z","depth":0,"parameterNumber":2,"parameterNumberName":"U-component_of_WINDS"},"data":[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.3833,2.2526,1.9991,1.7064,1.3894,1.0811,0.7715,0.4411,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.2863,2.2977,2.0446,1.7518,1.4316,1.105,0.8022,0.5219,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.3743,2.3182,2.3248,2.0427,1.7311,1.4209,1.0664,0.7626,0.5319,0.3556,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.6021,2.4409,2.3556,2.0223,1.6891,1.4063,1.0284,0.7335,0.5433,0.3863,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.7158,2.6758,2.4021,2.0073,1.658,1.3898,1.0349,0.7573,0.5859,0.4581,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.5458,2.4657,0.0,1.8863,1.5687,1.3141,1.0316,0.7862,0.6026,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.443,2.4647,2.371,0.0,1.7966,1.4892,1.2595,1.0108,0.7854,0.5947,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.4123,2.5109,2.4635,2.1624,1.7477,1.418,1.2301,0.9707,0.7407,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.2648,2.3655,2.2843,1.8814,1.6071,1.3513,1.1091,0.9377,0.7684,0.5766,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.1907,2.2562,2.1476,1.755,1.5086,1.2881,1.0677,0.9379,0.7897,0.6009,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.1445,2.1563,2.0441,1.7202,1.4518,1.2361,1.0836,0.9614,0.8125,0.6308,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.4792,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.9573,2.0002,1.9221,1.6043,1.4097,1.2464,1.0988,0.9468,0.805,0.6976,0.5443,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.696,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.9414,1.9606,1.8613,1.5769,1.4117,1.2646,1.103,0.9485,0.8208,0.7273,0.5844,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.5456,1.585,1.6882,1.9499,2.1124,2.1869,2.0177,1.9078,1.8085,1.3656,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.5286,2.363,1.9707,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.969,1.9466,1.8318,1.6064,1.4561,1.3007,1.1297,0.9816,0.8567,0.7665,0.6402,0.5787,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6123,0.673,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.3184,1.5108,1.4999,1.562,1.6829,1.8858,2.0079,2.0518,2.4291,2.6118,2.6253,2.5649,0.0,2.0072,1.7504,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.8107,2.8319,2.7618,2.7331,0.0,2.5987,2.2724,2.2647,1.9416,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.9041,1.9041,1.8319,1.6838,1.5409,1.3869,1.2126,1.0493,0.9143,0.8244,0.6721,0.6335,0.7322,0.6678,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6074,0.7493,0.7584,0.7773,0.7868,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.4131,1.4694,1.5507,1.6567,1.6965,1.7796,1.9159,2.3509,2.5248,2.458,2.7161,2.8606,2.9176,2.9049,2.8206,2.6472,2.2739,1.8307,1.3898,0.0,0.0,0.0,0.0,1.8603,2.815,2.888,3.1219,3.3532,3.091,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.979,0.0,0.0,2.8768,2.9342,2.9572,3.0383,3.2841,3.1513,2.8748,0.0,2.2923,2.0699,1.7821,0.0,0.0,0.0,0.0,1.9678,2.0036,1.9932,1.922,1.7864,1.6369,1.4592,1.2832,1.1079,0.9738,0.8631,0.7717,0.7547,0.8474,0.804,0.7826,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7436,0.8788,0.8612,0.9096,0.9485,0.0,0.0,0.0,0.0,0.0,0.0,1.6831,1.7151,1.729,1.7404,1.745,1.7349,1.7356,1.849,2.0495,2.3552,2.8607,3.016,2.8643,2.9778,3.0969,3.1979,3.1543,3.1919,3.2427,2.713,2.2959,1.9838,1.9266,1.7528,1.5424,1.6346,2.3952,3.4054,3.5253,3.5267,3.4082,3.0073,2.9392,2.9309,2.4792,0.0,0.0,0.0,0.0,2.5861,2.6775,2.8228,2.957,2.987,3.1632,3.3555,3.4903,3.4839,3.2978,0.0,2.6,2.4423,2.0419,0.0,0.0,0.0,0.0,2.0909,2.1475,2.1033,2.0158,1.8972,1.7313,1.5482,1.3485,1.1717,1.018,0.9199,0.86,0.8666,0.9571,0.9402,0.9285,0.9105,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9891,1.0674,0.0,0.0,0.0,0.0,1.6362,1.8257,1.9785,2.0773,2.0862,2.0712,2.0189,1.9442,1.8723,1.8347,1.9808,2.408,3.1158,3.4221,3.4507,3.2478,3.302,3.3862,3.5067,3.3355,3.3888,3.5527,2.9573,2.7846,2.905,2.8266,2.9247,3.1431,3.4517,3.7614,4.0154,3.9321,3.7531,3.5192,3.2763,2.8571,2.4111,2.2105,2.251,0.0,0.0,2.7975,2.9892,3.0009,3.0711,3.1192,3.0287,3.3898,3.7373,3.645,3.6225,3.5184,0.0,2.9579,2.7812,2.5793,0.0,2.3801,2.3054,2.2298,2.2128,2.2799,2.1885,2.0815,1.9977,1.8151,1.6303,1.4293,1.225,1.0673,0.9884,0.9191,0.9397,1.0459,1.0518,1.0499,1.0489,0.9262,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.134,1.2915,0.0,1.4946,1.6635,1.8319,1.9976,2.111,2.1989,2.2798,2.2704,2.2259,2.1479,2.1058,2.0831,2.0971,2.2276,2.618,3.2246,3.3157,3.4256,3.5488,3.5198,3.5942,3.7627,3.7934,3.857,3.9196,3.6424,3.5119,3.502,3.533,3.6008,3.715,3.9809,4.1325,4.1972,4.0935,3.9045,3.6366,3.2071,2.9731,2.8317,2.7146,2.6836,2.736,2.9291,3.095,3.2489,3.3775,3.4334,3.4538,3.4111,3.6684,3.8834,3.8024,3.7655,3.6844,3.4915,3.2858,3.0616,2.825,2.697,2.5793,2.4424,2.3832,2.3699,2.3989,2.2966,2.1921,2.1148,1.8964,1.6733,1.4841,1.2901,1.1344,1.033,1.0063,1.0502,1.1569,1.1782,1.1954,1.2014,1.1212,1.009,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.248,1.338,1.5476,1.7317,1.8554,2.054,2.2432,2.4003,2.4559,2.4905,2.5124,2.4688,2.3927,2.2937,2.2616,2.2696,2.2982,2.4465,2.7786,3.2539,3.3203,3.4736,3.7009,3.683,3.7905,3.9655,4.0682,4.1583,4.2204,4.1161,4.0849,4.0797,4.0561,4.1001,4.1924,4.3497,4.3895,4.3258,4.1383,3.9323,3.6702,3.2339,3.0775,3.0599,3.0498,2.9828,2.9508,3.1589,3.3208,3.4601,3.5933,3.6603,3.6904,3.6904,3.8291,3.9594,3.9154,3.8607,3.7863,3.6796,3.4886,3.2695,3.0285,2.8856,2.748,2.5983,2.5138,2.468,2.4696,2.3302,2.2096,2.1409,1.9031,1.6881,1.5299,1.3383,1.1943,1.1167,1.1037,1.1493,1.2735,1.2883,1.318,1.3489,1.3182,1.2705,1.2013,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.2756,1.3571,1.4823,1.608,1.8391,2.0588,2.2318,2.4634,2.6738,2.8413,2.8641,2.8469,2.7894,2.7075,2.582,2.4309,2.4036,2.4011,2.4374,2.6269,2.8914,3.233,3.491,3.623,3.6779,3.8223,3.9583,4.0968,4.1377,4.2591,4.4178,4.3391,4.45,4.6347,4.3932,4.4474,4.6564,4.6509,4.5715,4.4193,4.0869,3.834,3.61,3.3796,3.1637,3.0069,3.1293,3.1031,3.0721,3.2718,3.4716,3.6277,3.6386,3.712,3.7974,3.808,3.8945,3.9722,3.9772,3.9179,3.8267,3.7298,3.5653,3.3853,3.2267,3.0381,2.8887,2.7753,2.6056,0.0,2.4922,2.3001,2.1432,2.0831,1.8572,1.6782,1.5547,1.3495,1.2457,1.2568,1.1971,1.2233,1.3788,1.3769,1.4213,1.5025,1.5291,1.5755,1.6399,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.8242,1.7692,1.6227,1.7127,1.8677,2.0621,2.2821,2.4962,2.6937,2.8881,3.0252,3.0874,3.0092,2.909,2.7964,2.6813,2.5698,2.4638,2.4282,2.452,2.5461,2.7447,2.9904,3.299,3.5387,3.737,3.8897,4.0273,4.1396,4.2301,4.3682,4.4325,4.4398,4.5122,4.6861,4.8816,4.6428,4.6944,4.8706,4.6113,4.4938,4.4301,4.1801,3.9421,3.6867,3.3242,3.1699,3.1279,3.149,3.2029,3.2362,3.2085,3.4065,3.6472,3.7334,3.7761,3.8185,3.905,3.9465,3.9915,4.0636,3.9623,3.8291,3.7441,3.5382,3.3582,3.2771,3.0615,2.8784,2.8445,2.6558,0.0,2.5309,2.3494,2.203,2.1218,1.9098,1.7215,1.5795,1.4261,1.3108,1.2469,1.2634,1.335,1.4669,1.5433,1.652,1.7848,1.815,1.8221,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.226,2.2412,2.2118,2.1472,2.1891,2.4325,2.6572,2.8782,3.0906,3.2503,3.3377,3.3316,3.1817,3.0373,2.9028,2.744,2.617,2.5144,2.4607,2.4823,2.5924,2.791,3.0426,3.3327,3.5889,3.8326,4.0494,4.2015,4.3331,4.4458,4.5978,4.6214,4.5597,4.7172,4.9258,5.1285,0.0,0.0,0.0,0.0,4.5558,4.4408,4.2108,3.9518,3.6903,3.4487,3.3339,3.284,3.1884,3.2342,3.3252,3.2928,3.4504,3.6472,3.712,3.7655,3.8291,3.949,3.9978,4.033,4.0467,3.9176,3.7761,3.7334,3.5482,0.0,3.3069,3.0547,2.8513,2.8214,2.6578,2.5332,2.5218,2.355,2.21,2.1089,1.9293,1.7501,1.6218,1.4982,0.0,0.0,0.0,1.4886,1.6417,1.7769,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.2229,2.1495,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.6654,2.7973,2.9009,2.6358,2.5149,2.7555,2.9821,3.2106,3.4256,3.5523,3.596,3.5481,3.3712,3.1876,3.0166,0.0,0.0,0.0,0.0,2.496,2.5725,2.7992,3.0617,3.3459,3.6489,3.9333,4.1825,4.3823,4.546,4.6887,4.8222,4.8337,4.7731,4.9651,5.1949,5.3754,5.1367,4.9614,4.8538,4.8277,4.6708,4.4408,4.2108,0.0,0.0,3.6168,3.5307,3.4064,3.2281,3.2574,3.3572,3.4274,3.529,3.6214,3.6553,3.7308,3.8364,3.979,4.0794,4.116,3.9994,3.8523,3.7331,3.7261,3.5933,3.4489,3.3243,3.0472,2.8252,2.7606,2.6245,2.5203,2.4837,2.3311,2.1843,2.0844,1.9206,0.0,1.6914,1.5997,1.5732,1.6521,1.6379,1.7142,1.9049,2.0767,2.2515,2.4207,2.5801,2.762,2.9729,3.0844,3.1451,3.1637,2.6348,2.4907,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.8734,3.0067,3.1295,3.2467,3.1695,3.1189,3.1575,3.3356,3.5131,3.6795,3.756,3.7332,3.578,3.4103,3.1952,2.9351,2.7551,2.5855,2.4648,2.3954,2.4206,2.5161,2.757,3.0632,3.4179,0.0,0.0,4.372,4.6011,4.7597,4.838,5.022,5.0996,5.1332,5.3335,5.5149,5.6251,5.3836,5.2044,5.0707,4.8878,4.6708,4.4408,4.2108,3.9102,3.6168,3.4433,3.3147,3.2222,3.2395,3.3304,0.0,3.4425,3.4624,3.5446,3.8067,3.8389,3.8728,4.1688,4.2549,4.2351,4.1136,3.992,3.8736,3.795,3.6443,3.5,3.3835,3.1371,2.9203,2.8462,2.6975,2.5682,2.482,2.3834,2.2448,2.0788,1.9887,1.9024,1.8138,1.8204,1.8324,1.8556,2.0139,2.1747,2.3205,2.4859,2.627,2.7504,2.9105,3.0456,3.1315,3.2701,3.3889,3.4589,3.1506,3.0039,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.4497,2.6328,0.0,3.1092,3.2545,3.3407,3.4067,3.4524,3.434,3.4092,3.4008,3.5717,3.7471,3.8586,3.8787,3.8248,3.6732,3.4469,3.214,2.9701,2.7719,2.6157,2.4468,2.3616,2.3618,2.4353,2.6735,2.9833,3.3566,3.7596,4.1352,4.4654,4.753,4.953,5.0673,5.2263,5.3563,5.4708,5.6522,5.7177,5.6984,5.4817,5.3369,5.2199,4.9272,4.6708,4.4193,4.0844,3.8614,3.6722,3.4193,3.2566,3.1701,3.2041,3.32,3.4624,3.5179,3.6117,3.7449,3.9616,4.1696,4.3574,4.517,4.4903,4.4105,4.3223,4.1923,4.0628,3.957,3.8178,3.6691,3.5373,3.3355,3.1162,2.9282,2.7782,2.6482,2.5304,2.4273,2.3004,2.1534,2.0953,2.0456,1.976,2.0926,2.1737,2.1867,2.3793,2.5235,2.6067,2.7607,2.8886,2.9754,3.1615,3.3052,3.3899,3.5199,3.6553,3.7633,3.6405,3.5192,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.1171,2.2934,2.4864,2.6871,2.8883,3.1064,3.3202,3.4979,3.6011,3.6342,3.6299,3.5861,3.5671,3.5535,3.5512,3.7406,3.8963,3.9969,3.9612,3.8846,3.7236,3.4788,3.2475,3.0098,2.8315,2.6432,2.4685,2.3643,2.321,2.3569,2.594,2.8857,3.255,3.7099,4.141,4.5279,4.8776,5.1268,5.2971,5.439,5.5838,5.7304,5.8411,5.8071,5.659,5.4821,5.3699,5.2513,4.8747,4.5819,4.3051,3.9019,3.7548,3.6838,3.4372,3.2922,3.2175,3.2487,3.359,3.5157,3.6538,3.8551,4.0597,4.1914,4.5178,4.8172,4.8172,4.6901,4.5591,4.5144,4.3878,4.2637,4.1607,4.0241,3.884,3.7269,3.5468,3.3194,3.0118,2.8539,2.7213,2.5803,2.4704,2.3646,2.2432,2.2268,2.2174,2.2359,2.3947,2.5266,2.5736,2.7194,2.8179,2.8571,2.9937,3.1046,3.1842,3.378,3.5325,3.647,3.7632,3.8943,4.0293,4.0504,3.9684,1.6328,1.7705,1.8868,1.933,2.0764,2.27,0.0,2.6308,2.7495,2.883,3.1174,3.3335,3.4318,3.6558,3.8328,3.8362,3.8299,3.794,3.6757,3.6556,3.6485,3.6777,3.8133,3.9529,4.0427,4.0051,3.8947,3.6997,3.5281,3.2835,2.9664,2.8057,2.6343,2.4215,2.3487,2.3152,2.3551,2.5594,2.8501,3.2063,3.7144,4.168,4.589,4.9987,5.2821,5.4375,5.598,5.7328,5.8161,5.7809,5.6789,5.5382,5.3704,5.2149,5.0278,4.5949,4.2486,3.957,3.7298,3.584,3.4803,3.4494,3.4317,3.4406,3.55,3.5985,3.6535,3.8459,4.1278,4.4109,4.5324,4.6933,4.8172,4.8172,4.725,4.6309,4.5885,4.5067,4.4152,4.3348,4.2209,4.0757,3.8859,3.6828,3.4406,3.1337,2.9128,2.7141,2.5343,2.4906,2.4335,2.3119,2.3518,2.458,2.6424,2.7641,2.8725,2.9761,3.0326,3.0941,3.1643,3.2153,3.325,3.4759,3.5725,3.6831,3.8275,3.9453,4.074,4.2018,4.3065,4.2433,2.1551,2.1899,2.1883,2.3095,2.4531,2.6089,2.7494,2.911,3.0847,3.2594,3.5395,3.7633,3.7936,4.0493,4.1979,0.0,3.9573,3.8693,3.6578,3.5435,3.4892,3.4899,3.608,3.772,4.0231,3.9844,3.8804,3.7136,3.5239,3.2839,3.022,2.8318,2.6806,2.5248,2.4185,2.3792,2.39,2.5654,2.8137,3.1235,3.6552,4.1215,4.5653,5.0158,5.3819,5.656,5.7066,5.7578,5.7992,5.7293,5.5969,5.4152,5.2801,5.0605,4.7898,4.4314,4.1498,3.9462,3.8625,3.7361,3.6173,3.6173,3.5887,3.5621,3.6168,3.6796,3.7675,3.9773,4.2806,4.5817,4.7138,4.7611,4.7964,4.8198,4.7704,4.7121,4.6978,4.6127,4.5254,4.4678,4.3259,4.1474,3.9409,3.6816,3.3959,3.1025,2.9149,2.7422,2.5473,2.5277,2.5429,2.6084,2.6761,2.7915,2.9663,3.0677,3.1376,3.2142,3.2728,3.3092,3.344,3.4126,3.4953,3.5911,3.698,3.8286,3.9675,4.099,4.2535,4.4175,4.4937,4.5135,2.4901,2.5297,2.5558,2.6603,2.8531,3.013,3.0275,3.2376,3.4754,3.6362,3.8999,4.1102,4.1324,4.3065,4.3591,4.1135,3.9854,3.8298,3.585,3.423,3.3189,3.3127,3.3874,3.5569,3.8648,3.886,3.8353,3.7249,3.502,3.2754,3.0641,2.8676,2.72,2.6246,2.5263,2.4837,2.5,2.6255,2.8325,3.0907,3.6035,4.083,4.5089,5.0351,5.461,5.7442,5.7249,5.7116,5.6963,5.6072,5.4326,5.2141,5.0896,4.8792,4.5982,4.3433,4.1579,4.032,3.9949,3.882,3.7495,3.8216,3.8067,3.7548,3.7215,3.759,3.8431,4.0571,4.3449,4.6152,4.716,4.7186,4.6927,4.7302,4.7236,4.7026,4.7061,4.6408,4.5849,4.5341,4.3839,4.1852,3.9593,3.6295,3.304,3.0275,2.8493,2.6918,2.5296,2.5657,2.6708,2.8623,2.9715,3.0859,3.2193,3.2895,3.3465,3.3716,3.4358,3.463,3.4752,3.5368,3.619,3.7064,3.8073,3.9368,4.0901,4.2512,4.407,4.569,4.6704,4.7643,2.5156,2.7476,3.0394,2.9763,3.2633,3.5364,3.4114,3.6908,3.987,4.0243,4.1821,4.3356,4.4218,4.3371,4.2049,4.0707,3.8649,3.6524,3.4305,3.3237,3.2592,3.2318,3.225,3.3162,0.0,3.6687,3.7216,3.6884,3.4964,3.2871,3.0656,2.8891,2.7579,2.6587,2.6108,2.6108,2.66,2.762,2.9194,3.1757,3.6091,4.0273,4.414,5.117,5.4991,5.6399,5.6129,5.5673,5.5041,5.3497,5.1528,4.9149,4.7756,4.6253,4.452,4.3173,4.2208,4.1347,4.015,3.8798,3.7856,4.0223,4.1033,4.0846,3.9569,3.8606,3.8431,4.0571,4.2899,4.4869,4.5423,4.5195,4.4941,4.5364,4.5235,4.5122,4.528,4.565,4.5723,4.4988,4.3807,4.2256,3.9522,3.5672,3.2059,2.927,2.6876,2.5111,2.4804,2.6133,2.7772,2.968,3.1219,3.2543,3.3603,3.4191,3.4581,3.4936,3.4913,3.5285,3.616,3.5686,3.6499,3.8972,3.8979,4.0048,4.2195,4.4152,4.5374,4.6021,4.851,4.9698,3.0383,3.2057,3.3728,3.506,3.6819,3.8196,3.8209,3.9969,4.1473,4.0808,4.176,4.2538,4.193,4.1596,4.0901,3.9044,3.7375,3.5815,3.3821,3.2468,3.1261,3.0049,3.1069,0.0,0.0,0.0,0.0,3.5939,3.4266,3.2534,3.081,2.9334,2.8316,2.7996,2.749,2.7562,2.8208,2.9128,3.0305,3.2258,3.8006,4.2826,4.6927,5.0524,5.3057,5.444,5.4422,5.3992,5.3227,5.1585,4.9899,4.8495,4.7087,4.5929,4.4945,4.4788,4.4362,4.3735,4.2903,4.2379,4.2184,4.3239,4.3405,4.2904,4.1139,4.0326,4.0483,4.1977,4.2961,4.3609,4.4016,4.4086,4.3887,4.3451,4.3313,4.3238,4.2891,4.3373,4.381,4.3264,4.2321,4.0781,3.8437,3.4739,3.101,2.7702,2.5512,2.4568,2.5864,2.7076,2.8739,3.0768,3.2433,3.355,3.4209,3.4599,3.5139,3.5682,3.6044,3.6441,3.692,3.7518,3.8404,3.9451,4.0456,4.2202,4.4471,4.5859,4.7591,4.9643,5.0388,5.1136,3.5052,3.6405,3.7402,3.9433,4.0546,4.1209,4.1298,4.1989,4.2252,4.1073,4.0916,4.0639,3.943,3.8788,3.8065,3.6746,3.5462,3.4043,3.2659,3.1512,3.033,2.9101,2.9968,3.0713,0.0,0.0,0.0,3.4767,3.3339,3.2104,3.0803,2.9599,2.891,2.881,2.8465,2.8855,2.9684,3.0267,3.1781,3.4261,3.9412,4.3844,4.7464,4.9459,5.0994,5.2249,5.2261,5.1852,5.0842,4.9389,4.8336,4.7434,4.6366,4.5786,4.5521,4.5956,4.6078,4.5899,4.5413,4.5942,4.6552,4.5883,4.5966,4.5819,4.3668,4.3124,4.3301,4.2761,4.2975,4.3237,4.2797,4.2427,4.2088,4.1492,4.1276,4.1035,4.0612,4.135,4.1905,4.1505,4.0558,3.9296,3.7328,3.3749,2.9921,2.6858,2.5492,2.5249,2.6801,2.7681,2.9075,3.1009,3.2261,3.3168,3.385,3.4197,3.4751,3.5467,3.6358,3.7147,3.7777,3.8955,4.0105,4.1234,4.2616,4.4422,4.6682,4.8012,4.9459,5.0958,5.1659,5.1944,3.9073,4.045,4.1438,4.2705,4.3759,4.4252,4.3253,4.2778,4.2135,4.0824,3.9143,3.7619,3.6781,3.5138,3.3819,3.3957,3.2692,3.1637,3.1182,3.049,2.9763,0.0,0.0,0.0,0.0,0.0,0.0,3.3378,3.231,3.1347,3.0861,3.004,2.9355,2.8851,2.9342,2.9998,3.0832,3.1526,3.366,3.7462,4.026,4.3137,4.5619,4.7797,4.9043,4.9592,4.9989,4.9359,4.8009,4.7199,4.6463,4.5962,4.5641,4.562,4.6068,4.6536,4.7292,4.8007,4.7728,4.8873,5.0359,4.8315,4.8518,4.9213,4.7104,4.6737,4.6535,4.3168,4.3162,4.3664,4.1594,4.0493,3.9656,3.9543,3.9182,3.8805,3.8626,3.9675,4.0459,3.9898,3.8982,3.7843,3.6497,3.2588,2.8997,2.7142,2.6776,2.699,2.7376,2.8176,2.8904,3.0124,3.0706,3.1354,3.2342,3.2904,3.3665,3.4439,3.6067,3.7577,3.8831,4.0037,4.1897,4.4524,4.5474,4.696,4.8982,5.0476,5.0851,5.0216,5.2182,5.2526,4.2573,4.4376,4.5555,4.5757,4.5532,4.4786,4.265,4.0781,3.872,3.6101,3.3765,3.1928,3.0801,3.085,3.115,3.1471,3.2269,3.2631,3.2296,3.1918,0.0,3.0293,0.0,3.0943,3.0054,3.065,0.0,0.0,3.1175,3.0875,3.1023,3.0524,3.0069,2.9662,3.0339,3.1234,3.1843,3.347,3.5575,3.77,3.9576,4.1472,4.3837,4.5668,4.6548,4.6844,4.8231,4.8238,4.7241,4.6617,4.6457,4.6669,4.5842,4.6023,4.6615,4.7377,4.8071,4.8613,4.949,4.959,4.9605,5.0604,5.0037,4.8738,4.8298,4.7482,4.627,4.5092,4.4294,4.3562,4.1655,4.0918,4.0078,3.7975,3.8221,3.8555,3.7749,3.8886,3.9725,3.8994,3.7651,3.6128,3.4531,3.2825,3.1136,2.9384,2.8806,2.8414,2.7613,2.76,2.7789,2.7921,2.8976,2.9808,2.9824,3.1364,3.3066,3.483,3.6662,3.8574,4.044,4.257,4.4603,4.6518,4.8622,5.0232,5.1626,5.2862,5.3212,5.3045,5.3027,5.2543,4.636,4.7463,4.7643,4.711,4.5432,4.3244,4.0619,3.7607,3.447,3.0996,2.9084,2.7547,2.608,2.7373,2.9124,2.992,3.1749,3.3082,3.2842,3.318,3.285,0.0,3.1979,0.0,3.0876,3.1051,3.1277,3.1396,3.1081,3.0981,3.1296,3.0789,3.0634,3.0667,3.152,3.2447,3.3437,3.5278,3.6975,3.8362,3.9754,4.1378,4.3367,4.4791,4.547,4.5768,4.7004,4.701,4.6467,4.585,4.6141,4.6596,4.6027,4.6499,4.7497,4.8452,4.8875,4.9183,5.0407,5.0492,5.0313,5.1269,5.0896,5.0013,4.9183,4.8327,4.7458,4.6167,4.5132,4.3937,4.2112,4.1158,4.0173,3.8202,3.8266,3.8501,3.7786,3.8475,3.9108,3.8569,3.7575,3.6396,3.5079,3.3968,3.2616,3.1136,3.0336,2.9383,2.8242,2.7964,2.7613,2.739,2.7815,2.8267,2.8203,2.997,3.1997,3.3916,3.672,3.9401,4.1927,4.4677,4.7377,4.9606,5.1705,5.3009,5.3782,5.4276,5.3985,5.2966,5.2652,5.1924,4.9714,4.9524,4.8413,4.7052,4.3901,4.0412,3.7419,3.3721,2.987,2.6089,2.4887,2.4098,2.2609,2.4894,2.7598,2.9081,3.1564,3.332,3.3573,3.4352,3.4469,3.2837,3.2865,3.2764,3.2212,3.1423,3.1123,3.1708,3.1501,3.1307,3.1578,3.1373,3.1525,3.2043,3.2498,3.3661,3.5352,3.661,3.7824,3.9178,4.045,4.1748,4.3466,4.4358,4.4911,4.5375,4.5936,4.6011,4.5698,4.5291,4.5612,4.6413,4.6413,4.7145,4.851,4.922,4.9591,4.9873,5.0902,5.1368,5.1355,5.096,5.1406,5.1689,4.9766,4.947,4.9152,4.7051,4.593,4.496,4.3168,4.1897,4.0748,3.9597,3.9176,3.9031,3.8625,3.865,3.8651,3.8599,3.8194,3.7594,3.6761,3.5324,3.3818,3.2597,3.1257,3.0248,2.935,2.8584,2.8075,2.7525,2.7203,2.7201,2.7575,2.9218,3.1002,3.3019,3.6732,4.0236,4.3339,4.6497,4.9762,5.3081,5.4423,5.5234,5.542,5.5315,5.4066,5.1907,5.1709,5.1014,5.0841,5.0105,4.8311,4.4936,4.1308,3.7457,3.3355,2.9224,2.5507,2.2828,2.1666,2.1076,2.1278,2.4102,2.7343,2.9907,3.271,3.4779,3.5926,3.6081,3.5683,3.5009,3.4152,3.3205,3.2619,3.2197,0.0,0.0,3.1986,3.2141,3.2197,3.2498,3.3146,3.3751,3.4157,3.4678,3.5705,3.6978,3.8203,3.9536,4.0101,4.1048,4.2555,4.2987,4.3472,4.409,4.5238,0.0,4.5648,4.5884,4.6365,4.6864,4.6864,4.7733,4.8947,4.9033,4.9828,5.0689,5.0406,5.1064,5.1885,5.1668,5.144,5.1394,5.1147,5.0315,4.9456,4.8993,4.7906,4.644,4.4751,4.4613,4.4235,4.1855,4.1682,4.1935,4.0952,3.9764,3.9014,3.8986,3.8293,3.7672,3.7166,3.6439,3.5314,3.35,3.2432,3.1556,3.0794,2.9022,2.7537,2.7093,2.7245,2.7673,2.8068,3.0058,3.2225,3.4539,3.821,4.1835,4.54,4.852,5.1673,5.5232,5.628,5.6744,5.6821,5.6467,5.523,5.2922,5.2175,5.0844,5.0878,4.8946,4.6415,4.2977,3.8827,3.4335,2.98,2.6162,2.2892,1.9932,1.9755,2.0108,2.0121,2.3623,2.7322,2.9527,3.2333,3.5168,3.716,3.7065,3.6697,3.6655,3.5568,3.4392,3.3984,3.3337,3.3037,3.3177,3.3457,3.34,3.2888,3.3671,3.4605,3.5508,3.5684,3.628,3.7341,3.8201,3.9167,4.0263,4.0963,4.1792,4.2542,4.3052,4.3578,4.3946,4.4625,4.5183,4.5674,4.5628,4.6036,4.671,4.671,4.7213,4.8067,4.8463,4.9065,4.9631,5.0043,5.0445,5.0861,5.1116,5.1408,5.1746,5.1722,5.0765,4.9967,4.9977,4.8971,4.769,4.6927,4.6591,4.6014,4.4495,4.34,4.2346,4.0796,4.0015,3.936,3.9369,3.8915,3.8236,3.7725,3.7045,3.5962,3.4419,3.3243,3.2281,3.1781,3.0513,2.9483,2.8996,2.92,2.9431,2.9968,3.1759,3.3961,3.6485,3.9943,4.3579,4.7535,5.0297,5.3278,5.6581,5.7286,5.7565,5.741,5.6758,5.5359,5.3478,5.21,5.0912,5.01,4.7334,4.4141,4.0983,3.6517,3.1728,2.7349,2.4147,2.1251,1.835,1.8879,1.9889,1.9855,2.343,2.712,2.9267,3.2134,3.512,3.8022,3.7853,3.7639,3.828,3.6744,3.5541,3.5169,3.4496,0.0,3.4679,3.5147,3.4981,3.4227,3.5076,3.5981,3.6786,3.7047,3.7771,3.8864,3.9544,4.0297,4.1139,4.1922,4.2492,4.3162,4.3383,4.3737,4.4305,4.4404,4.4797,4.5551,4.5394,4.5812,4.6575,4.6476,4.6796,4.7494,4.8079,4.8461,4.8796,4.9847,5.0012,4.9832,5.0613,5.1291,5.1971,5.1815,5.1083,5.0394,5.0678,4.9694,4.8772,4.8873,4.8396,4.751,4.6497,4.4198,4.1956,4.0468,3.9716,3.9519,3.9348,3.9025,3.8683,3.8152,3.7229,3.6158,3.5237,3.4064,3.306,3.2628,3.2499,3.242,3.2126,3.1831,3.1841,3.244,3.3819,3.5943,3.8635,4.1605,4.52,4.9553,5.1775,5.4493,5.7508,5.7666,5.7867,5.81,5.6796,5.547,5.4092,5.2412,5.1348,4.8434,4.5764,4.2631,3.8597,3.4314,3.0249,2.6824,2.3436,2.0618,1.9204,1.9055,1.9616,2.143,2.3699,2.6532,3.0391,3.2773,3.5505,3.9004,3.8894,3.8926,4.0038,3.7614,3.607,3.6085,3.5212,3.501,3.5602,3.6625,3.6901,3.625,3.6553,3.7121,3.7339,3.818,3.8864,3.925,4.0095,4.1179,4.2491,4.2109,4.2868,4.4526,4.3397,4.3628,4.4715,4.4838,4.5053,0.0,4.5891,4.6617,4.7285,4.7072,4.7618,4.88,4.8433,4.8955,4.9553,4.9637,4.9998,5.0315,5.1154,5.1278,5.109,5.1369,5.1059,5.0677,5.0949,5.0406,4.9898,4.9432,4.9499,4.8956,4.6824,4.4243,4.2103,4.1043,3.9937,3.8854,3.8494,3.8323,3.8152,3.7808,3.7258,3.6609,3.5269,3.5002,3.47,3.385,3.4552,3.5211,3.6086,3.4603,3.4094,3.5281,3.6386,3.8271,4.0928,4.3362,4.6668,5.0849,5.2349,5.4892,5.8533,5.7332,5.7447,5.8929,5.7051,5.59,5.5406,5.3645,5.2591,4.7409,4.4958,4.1897,3.8447,3.4825,3.104,2.7349,2.4459,2.2043,2.038,2.0468,2.1213,2.2324,2.4262,2.6615,2.9697,3.1151,3.3465,3.7559,3.7453,3.7732,3.9822,3.8717,3.7898,3.7929,3.7312,3.7027,3.7387,3.856,3.912,3.8829,3.8047,3.824,3.9209,3.8976,3.9506,4.0661,4.1283,4.1804,4.2601,4.3337,4.3776,4.4306,4.4343,4.4632,4.5144,4.5156,4.5687,0.0,4.5981,4.6657,4.791,4.7121,4.7148,4.7778,4.8144,4.8444,4.8654,4.9386,4.9588,4.9588,5.0494,5.0139,4.9732,5.0985,5.0555,4.9597,4.9952,4.9047,4.8035,4.8469,4.797,4.7028,4.5049,4.3024,4.1478,4.0345,3.9286,3.8512,3.8323,3.8323,3.8152,3.7636,3.7291,3.6896,3.6231,3.5864,3.5621,3.582,3.6074,3.6645,3.8022,3.7029,3.6795,3.8062,3.9586,4.1394,4.369,4.5853,4.8862,5.2631,5.3835,5.5781,5.898,5.8422,5.843,5.9331,5.7926,5.6777,5.5967,5.4454,5.3265,4.5949,4.4006,4.1243,3.8564,3.549,3.205,2.8564,2.5807,2.3583,2.1881,2.1952,2.2558,2.3436,2.5027,2.6933,2.9026,3.0505,3.2747,3.692,3.717,3.7875,4.0695,4.0495,4.0013,3.9976,3.9605,3.9441,4.03,4.0834,4.1096,4.1474,4.037,3.9918,4.0748,4.0125,4.0663,4.2242,4.2276,4.2715,4.3368,4.4173,4.4727,4.4855,4.528,4.5755,4.5755,4.607,4.6663,0.0,4.637,4.7113,4.8177,4.7251,4.7211,4.7461,4.8116,4.8089,4.8016,4.9234,4.9406,4.9124,4.9642,4.9072,4.844,4.9502,4.9101,4.8353,4.8016,4.6627,4.5229,4.5878,4.5129,4.4163,4.3054,4.1639,4.0368,3.967,3.8856,3.8152,3.8323,3.8323,3.8152,3.7636,3.7291,3.7119,3.6946,3.6731,3.6688,3.742,3.7612,3.8323,3.9795,3.977,3.9935,4.0597,4.2285,4.4236,4.6215,4.8249,5.0677,5.4079,5.4883,5.6452,5.8748,5.8743,5.8756,5.9071,5.8031,5.7036,5.6106,5.4668,5.3258,4.3703,4.2557,4.0601,3.8586,3.5982,3.3073,3.0349,2.7353,2.4893,2.3996,2.3189,2.3198,2.4844,2.593,2.7162,2.8885,3.1543,3.4369,3.757,3.9062,4.0702,4.3262,4.3105,4.2358,4.2008,4.1719,4.2146,4.3726,4.3238,4.3192,4.437,4.3414,4.2654,4.1714,4.1697,4.2429,4.3767,4.3204,4.3774,4.5111,4.4732,4.5293,4.6597,4.6187,4.637,4.6758,4.773,4.755,0.0,4.763,4.8216,4.85,4.7685,4.7903,4.8914,4.8432,4.8373,4.852,4.9374,4.9463,4.9049,4.8961,4.8308,4.729,4.6308,4.6603,4.6834,4.5244,4.3336,4.1748,4.1539,4.1111,4.0748,4.1083,3.9925,3.888,3.9488,3.8506,3.7808,3.8152,3.8323,3.8152,3.7636,3.7619,3.7464,3.7119,3.7808,3.8357,3.8316,3.9605,4.0767,4.1656,4.293,4.3372,4.248,4.431,4.6414,4.8143,4.9942,5.1977,5.4717,5.554,5.6614,5.7851,5.7769,5.776,5.8174,5.7046,5.6226,5.5637,5.4123,5.2699,4.1297,4.1216,4.0455,3.7722,3.5216,3.2817,3.0269,2.773,2.5747,2.4958,2.4583,2.4771,2.6133,2.6772,2.8231,3.1642,3.3202,3.5331,3.9141,4.0932,4.2243,4.2975,4.3392,4.334,4.2658,4.3206,4.3636,4.3974,4.4515,4.4764,4.5151,4.4851,4.4166,4.2689,4.2654,4.2845,4.3624,4.4193,4.4768,4.5525,4.6434,4.7153,4.7455,4.8083,4.8404,4.8612,4.8934,4.9335,4.9966,4.8862,4.9244,5.0488,4.8896,4.8563,4.8789,4.8768,4.8276,4.7994,4.885,4.8572,4.767,4.8066,4.6972,4.5666,4.4869,4.4507,4.3621,4.0255,3.9002,3.8614,3.8054,3.8168,3.8908,3.9521,3.9274,3.9041,3.888,3.8902,3.8907,3.8372,3.8833,3.909,3.8676,3.8663,3.8648,3.8837,3.8837,3.8955,3.9698,4.0453,4.132,4.2461,4.4112,4.5068,4.4724,4.6363,4.8115,4.9585,5.1277,5.3177,5.5312,5.6456,5.7573,5.8428,5.8706,5.8345,5.7636,5.615,5.426,5.1929,5.1122,5.0507,3.9105,3.9826,3.9471,3.7339,3.5184,3.3132,3.0842,2.8809,2.7188,2.6544,2.6343,2.6617,2.7575,2.8048,2.9229,3.2049,3.3464,3.559,3.9375,4.1805,4.3745,4.5388,4.5467,4.5443,4.4979,4.5265,4.5396,4.541,4.5825,4.6145,4.634,4.6197,4.5591,4.4269,4.406,4.4375,4.4814,4.5388,4.5897,4.6499,4.7524,4.8038,4.8441,4.955,4.9912,4.9986,5.0488,5.1164,0.0,5.055,5.0686,5.1578,5.0332,4.9746,4.9297,4.942,4.8771,4.7879,4.8586,4.8047,4.704,4.6882,4.5433,4.3616,4.2665,4.1834,4.0633,3.7617,3.6368,3.5863,3.5433,3.5978,3.6876,3.7889,3.8268,3.8448,3.8662,3.8957,3.9062,3.9085,3.9511,3.9957,3.9874,3.9698,3.9671,4.0198,4.001,4.0233,4.1431,4.2084,4.3041,4.462,4.5962,4.6945,4.7496,4.8443,4.9578,5.0718,5.2367,5.384,5.5368,5.6303,5.6891,5.718,5.7346,5.6849,5.5421,5.3651,5.155,4.9218,4.8886,4.8707,0.0,3.7797,3.758,3.6899,3.5294,3.3444,3.1811,3.0272,0.0,2.8525,2.831,2.8463,2.9228,2.9663,3.0189,3.1102,3.3144,3.5685,3.9042,4.2097,4.5347,4.9365,4.8866,4.8234,4.8161,4.7705,4.7374,4.7636,4.7239,4.7238,4.7827,4.7479,4.7083,4.6694,4.6286,4.6427,4.7112,4.6743,4.6937,4.7902,4.8113,4.8516,4.9492,5.0453,5.0968,0.0,5.2479,5.282,5.2394,5.2454,5.2304,5.2149,5.1923,5.1158,5.0346,5.025,4.9445,4.8335,4.8315,4.7579,4.6626,4.5704,4.3678,4.144,4.0156,3.9109,3.8008,3.6773,3.5173,3.3936,3.3793,3.4633,3.5592,3.6498,3.711,3.7656,3.8782,3.8804,3.8854,4.0162,4.05,4.0687,4.1005,4.0855,4.0705,4.1042,4.121,4.1844,4.3419,4.415,4.5388,4.7548,4.8128,4.9166,5.0487,5.0458,5.074,5.1653,5.2946,5.4073,5.4971,5.5298,5.5178,5.4632,5.4334,5.352,5.2067,4.995,4.8387,4.7353,4.7109,4.7091,3.1731,0.0,3.4263,3.2213,3.1128,3.0492,0.0,2.9151,2.8428,2.9289,2.8993,2.9287,3.1495,3.0765,3.1322,3.6027,3.6937,3.8423,4.2584,4.5838,4.8493,5.0235,4.9914,4.9043,4.8041,4.828,4.8298,4.8411,4.8726,4.9074,4.9696,4.9603,4.9747,4.9947,4.9928,4.8737,4.6531,4.7406,4.8155,4.8349,4.9428,5.0164,5.0358,5.1404,5.179,5.1923,5.3447,5.4066,5.3972,5.426,5.4199,5.3862,5.2912,5.2188,5.1119,5.0536,4.9459,4.8189,4.7875,4.6699,4.5091,4.3398,4.2236,4.1577,4.0279,3.914,3.7854,3.6267,3.5554,3.519,3.458,3.5269,3.6707,3.7726,3.851,3.9234,4.0141,4.0589,4.0826,4.086,4.1509,4.1788,4.1617,4.1842,4.19,4.2068,4.2383,4.2735,4.3682,4.5058,4.6414,4.7605,4.9732,5.1318,5.187,5.1419,5.1267,5.2105,5.2935,5.3307,5.3505,5.3964,5.3726,5.2736,5.1373,5.0197,4.9107,4.7993,4.6736,4.5404,4.5524,4.5435,2.8802,3.1585,3.3974,3.2868,3.2197,3.1782,3.1685,3.0355,2.9258,2.96,2.9657,3.0227,3.2146,3.1889,3.2744,3.6901,3.8401,4.0675,4.5879,4.8672,5.0696,5.217,5.1788,5.0927,5.012,5.0252,5.0309,4.9939,5.0104,5.0325,5.0729,5.0729,5.0931,5.1132,5.1132,5.0203,4.833,4.9311,4.9724,4.9541,5.0547,5.1151,5.1719,5.2474,5.3073,5.366,5.5046,5.5619,5.5788,5.6102,5.5805,5.5175,5.4622,5.3345,5.1589,5.1109,4.9881,4.8527,4.7915,4.627,4.4388,4.2356,4.1637,4.1426,4.0666,3.9855,3.886,3.7594,3.7095,3.6829,3.6425,3.7079,3.7922,3.8574,3.9131,3.9617,4.0654,4.1178,4.1413,4.1971,4.2563,4.2991,4.307,4.3225,4.338,4.3565,4.3711,4.4265,4.5122,4.6352,4.7895,4.9353,5.1122,5.238,5.2857,5.2433,5.2345,5.297,5.247,5.2314,5.2337,5.1751,5.0787,4.9518,4.8396,4.7493,4.6744,4.6145,4.5459,4.4565,4.4583,4.4349,2.8167,3.1932,3.5379,3.483,3.4598,3.4333,3.3726,3.2165,3.0728,3.0192,0.0,3.1696,3.299,3.3701,3.4826,3.7237,3.9668,4.3331,4.9146,5.1006,5.2704,5.4394,5.3817,5.3059,5.2647,5.2571,5.2268,5.1771,5.1656,5.1618,5.182,5.182,5.1782,5.1926,5.1984,5.1611,5.1191,5.142,5.1172,5.0858,5.1363,5.209,5.3031,5.3752,5.4519,5.5446,5.665,5.7279,5.7582,5.7712,5.7099,5.621,5.602,5.4527,5.1933,5.1812,5.0595,4.885,4.7601,4.5822,4.3764,4.2154,4.138,4.0953,4.0996,4.0744,4.0413,3.9845,3.9093,3.849,3.8891,3.9108,3.9218,3.9318,3.9458,3.9925,4.102,4.1247,4.1714,4.3048,4.3546,4.3856,4.4291,4.4494,4.4514,4.4802,4.5148,4.5637,4.668,4.7827,4.9403,5.1507,5.2292,5.2746,5.3233,5.3255,5.3167,5.337,5.1813,5.0941,5.0833,4.9155,4.753,4.6321,4.5756,4.5301,4.4855,4.4709,4.4441,4.41,4.3904,4.3624,3.1681,3.5436,3.7001,3.1362,3.2092,3.3709,3.2008,3.1986,3.2338,3.2525,3.2996,3.4355,3.7381,3.7493,3.8351,4.2213,4.497,4.8043,5.2109,5.3672,5.4642,5.5494,5.5375,5.4779,5.3518,5.3443,5.3596,5.407,5.3724,5.3719,5.4746,5.4746,5.4793,5.4822,5.5383,5.516,5.4136,5.3066,5.2258,5.1724,5.2817,5.3461,5.3616,5.4498,5.5262,5.5935,5.7785,5.8512,5.8269,5.9085,5.8554,5.725,5.6688,5.5365,5.3425,5.2107,5.0498,4.8692,4.5687,4.4128,4.3044,4.1569,4.066,4.0154,4.0453,4.0605,4.0664,4.1499,4.1561,4.1152,4.1297,4.0934,4.0681,4.1123,4.0655,4.0717,4.2349,4.248,4.255,4.3876,4.4205,4.4251,4.4401,4.4641,4.4762,4.4563,4.5433,4.6165,4.6389,4.8259,4.9989,5.1114,5.2402,5.3233,5.3742,5.3071,5.2146,5.1015,5.0331,4.9209,4.7129,4.5493,4.4558,4.4479,4.3966,4.3709,4.3902,4.4161,4.4091,4.3467,4.3866,4.3503,3.1237,3.4729,3.6936,3.3991,3.6129,3.858,3.7095,3.5984,3.5289,3.5453,3.5836,3.695,3.975,4.0644,4.2433,4.6987,4.9449,5.1626,5.38,5.4971,5.5941,5.6755,5.6441,5.6055,5.5843,5.557,5.5547,5.573,5.5721,5.5809,5.6614,5.6819,5.6738,5.6741,5.6943,5.6638,5.5603,5.5386,5.4543,5.3086,5.4065,5.4633,5.4955,5.602,5.6757,5.7322,5.8692,5.918,5.9022,5.945,5.9019,5.7846,5.7011,5.5557,5.3483,5.0864,4.8992,4.7091,4.4186,4.2838,4.2105,4.0944,4.0363,4.0257,4.0351,4.0762,4.1334,4.2342,4.2385,4.2187,4.2114,4.155,4.1136,4.123,4.0859,4.0859,4.2069,4.2367,4.2735,4.3546,4.4028,4.4461,4.4442,4.4844,4.5221,4.5016,4.6003,4.6594,4.6594,4.8456,5.0054,5.1004,5.2402,5.3233,5.3137,5.2359,5.0903,4.8751,4.8004,4.6557,4.4335,4.3608,4.3284,4.3023,4.2767,4.2948,4.3554,4.3425,4.3495,4.3529,4.3241,4.2919,3.1835,3.4635,3.7371,3.8245,4.0467,4.2333,4.2015,4.0232,0.0,0.0,0.0,4.0585,4.24,4.4097,4.6698,5.0683,5.2817,5.4277,5.5263,5.6186,5.72,5.7969,5.7419,5.7207,5.7613,5.7409,5.743,5.7713,5.7799,5.7924,5.8521,5.8521,5.8479,5.8376,5.8274,5.7966,5.7209,5.7311,5.6619,5.4744,5.5403,5.591,5.6432,5.7483,5.8357,5.8787,5.9726,6.0055,6.0055,5.9916,5.9369,5.8248,5.7267,5.5433,5.2703,4.9202,4.7069,4.5242,4.2688,4.1621,4.1043,3.9813,3.9698,4.0086,4.0385,4.0949,4.1953,4.2775,4.2851,4.2717,4.2724,4.194,4.1209,4.1203,4.0639,4.0566,4.1194,4.1767,4.2264,4.2779,4.3652,4.4201,4.442,4.4989,4.5565,4.546,4.6257,4.6775,4.6617,4.8404,4.9903,5.0631,5.187,5.2309,5.1633,5.0589,4.892,4.6409,4.5657,4.4381,4.2387,4.2515,4.2431,4.196,4.1952,4.2245,4.3008,4.2834,4.2942,4.3089,4.2543,4.2103,3.6616,3.8357,3.9688,4.2023,4.155,4.0925,4.2698,4.2731,0.0,4.3684,0.0,0.0,0.0,4.884,5.1209,5.2695,5.4487,5.5782,5.6706,5.7685,5.8457,5.8476,5.8544,5.8506,5.8089,5.8485,5.9067,5.9676,5.9886,6.0047,6.0684,6.0663,6.0472,6.0027,6.0042,5.9842,5.9779,5.8931,5.7657,5.6172,5.7332,5.7846,5.7955,5.8997,5.9834,6.0319,6.0823,6.0945,6.1075,6.0955,6.0087,5.8704,5.7768,5.4605,5.0262,4.7528,4.5477,4.35,4.1027,3.9884,3.9314,3.839,3.8614,3.9406,4.0121,4.1111,4.2125,4.2648,4.3129,4.3455,4.3513,4.2742,4.1656,4.1171,4.054,4.005,4.0414,4.0903,4.139,4.2378,4.3141,4.3934,4.4308,4.5044,4.546,4.502,4.6046,4.6617,4.5844,4.7623,4.921,4.978,5.0284,5.0139,4.8817,4.7151,4.5593,4.4159,4.3998,4.3358,4.2324,4.1625,4.1358,4.1519,4.1728,4.1724,4.1337,4.2669,4.2433,4.0949,4.1638,4.1063,3.5615,3.7667,3.9933,4.2628,4.425,0.0,0.0,4.7294,4.8437,4.9706,5.0155,0.0,0.0,5.1951,5.3528,5.4545,5.6057,5.7259,5.7667,5.8383,5.9148,5.9331,5.8921,5.9098,6.0015,5.9502,5.9741,6.0981,6.074,6.1093,6.1922,6.2183,6.2248,6.2074,6.2146,6.205,6.1726,6.0922,6.0517,6.0276,5.9804,5.9204,5.8743,6.0248,6.1028,6.0951,6.1357,6.17,6.1754,6.0748,5.9787,5.8354,5.5351,5.2692,4.9989,4.6389,4.419,4.2602,3.9737,3.8668,3.8304,3.7459,3.8231,3.9504,3.984,4.1251,4.2805,4.2857,4.3173,4.3398,4.2981,4.2072,4.1206,4.0518,3.977,3.9195,3.9304,3.9832,4.0409,4.0792,4.1481,4.2266,4.2616,4.3215,4.3778,4.4313,4.4884,4.5518,4.6266,4.7474,4.8468,4.9274,4.9432,4.9166,4.8045,4.6619,4.5068,4.3539,4.3078,4.2416,4.1455,4.109,4.1101,4.1645,4.1044,4.1152,4.1853,4.1496,4.1184,4.0918,4.0813,4.0328,3.5106,3.7187,3.9868,4.2582,0.0,0.0,5.0615,5.183,5.3014,5.45,5.4083,5.3359,5.3665,0.0,0.0,5.5592,5.7104,5.8053,5.8615,5.916,5.981,6.0456,6.0036,6.0186,6.1334,6.0971,6.0817,6.1973,6.1829,6.1992,6.2857,6.3146,6.3323,6.3323,6.3253,6.3074,6.2923,6.2319,6.228,6.2591,6.1842,6.107,6.0327,6.1711,6.2131,6.1827,6.2041,6.2251,6.2152,6.1046,5.9667,5.7886,5.3727,5.1099,4.9189,4.5229,4.2856,4.0981,3.8158,3.7288,3.7192,3.6311,3.7563,3.938,3.9657,4.1341,4.3085,4.3151,4.3383,4.3565,4.2941,4.1796,4.0723,3.9926,3.8883,3.8114,3.8113,3.8617,3.9135,3.9207,4.0162,4.0912,4.1234,4.1928,4.2753,4.3488,4.4017,4.4888,4.6005,4.7211,4.823,4.9025,4.9027,4.8542,4.7265,4.6037,4.4579,4.302,4.2356,4.1857,4.1238,4.1101,4.1423,4.1949,4.1113,4.1184,4.1986,4.1153,4.0636,4.0643,4.0255,3.9722,3.5991,3.7445,3.9973,4.2178,0.0,0.0,5.5524,5.6142,5.6149,5.7924,5.6671,5.5194,5.5598,5.5065,0.0,5.5532,5.7148,5.8469,5.9101,5.9567,6.0456,6.1561,6.183,6.2026,6.2209,6.2801,6.2968,6.2647,6.2942,6.3323,6.3452,6.3429,6.3429,6.3407,6.2835,6.2835,6.3407,6.2835,6.2591,6.2668,6.3617,6.3944,6.3439,6.3363,6.343,6.3274,6.308,6.2682,6.2092,6.2008,6.0143,5.7206,5.3518,5.052,4.777,4.3906,4.1113,3.8929,3.6,3.5457,3.602,3.4665,3.6112,3.8505,3.9363,4.0996,4.272,4.3741,4.4144,4.4086,4.3771,4.2093,4.0353,3.943,3.8304,3.7241,3.6869,3.7077,3.7421,3.7503,3.9108,4.0475,4.0438,4.1771,4.2815,4.2784,4.389,4.4784,4.4805,4.6809,4.8496,4.9271,4.9022,4.8194,4.63,4.493,4.3608,4.239,4.1826,4.1641,4.1606,4.182,4.1939,4.2166,4.1923,4.1683,4.1709,4.1832,4.1096,3.9609,4.0269,3.9466,3.5402,3.8012,4.2041,4.5248,0.0,0.0,0.0,6.0336,0.0,0.0,6.0179,5.8547,5.7831,5.77,0.0,5.7757,5.9099,6.0476,6.0879,6.1383,6.2169,6.2919,6.2991,6.337,6.3783,6.3134,6.2979,6.3513,6.3055,6.3033,6.3328,6.3817,6.3877,6.339,6.332,6.332,6.356,6.2981,6.2913,6.3332,6.3157,6.2911,6.2406,6.3406,6.3972,6.3778,6.3571,6.3719,6.3854,6.1448,5.9186,5.6823,5.3216,5.048,4.8027,4.3601,4.0582,3.8419,3.5498,3.4845,3.5263,3.4244,3.5824,3.8058,3.8647,4.0277,4.1947,4.2292,4.2392,4.2182,4.1481,4.0489,3.9523,3.9363,3.7827,3.6288,3.5691,3.6079,3.6451,3.6092,3.7464,3.873,3.8969,4.0064,4.1431,4.2471,4.33,4.4554,4.6566,4.8299,4.9541,4.9958,4.908,4.792,4.6507,4.4849,4.3384,4.1764,4.1049,4.0924,4.1418,4.1401,4.1746,4.2457,4.1512,4.1462,4.24,4.1359,4.0619,4.0269,3.9986,3.9316,3.7611,4.0569,4.4819,4.886,5.3506,5.8469,6.3394,0.0,0.0,0.0,6.2506,6.0961,6.0084,5.9861,0.0,6.0014,6.11,6.2029,6.2729,6.3321,6.4171,6.5016,6.541,6.5585,6.5792,6.494,6.4318,6.4367,6.3342,6.2836,6.2735,6.3155,6.2863,6.2257,6.2325,6.2144,6.2025,6.1262,6.1081,6.1433,6.1097,6.0661,6.0202,6.2673,6.372,6.3297,6.3303,6.3346,6.3252,6.0886,5.8718,5.6545,5.3181,5.0367,4.753,4.3081,4.0,3.7607,3.4776,3.4059,3.3936,3.3552,3.4739,3.6598,3.721,3.8467,3.9637,3.9945,3.9785,3.9529,3.9179,3.8236,3.7525,3.8491,3.749,3.5956,3.5326,3.5764,3.6022,3.5664,3.6991,3.819,3.8147,3.9204,4.057,4.2094,4.3294,4.5132,4.7826,4.8997,4.9753,5.0378,4.9334,4.7895,4.6495,4.4538,4.2732,4.1205,4.0355,4.0,4.0498,4.0801,4.1529,4.2685,4.1706,4.1677,4.2735,4.148,4.0643,4.0245,4.0144,3.9578,4.1114,4.4218,4.7901,5.2728,5.5823,0.0,6.5272,6.679,6.677,6.5956,0.0,6.2726,6.2592,6.1677,6.1256,6.2042,6.2841,6.3657,6.4507,6.5505,6.6487,6.7605,6.8282,6.8362,6.8022,6.7464,6.6453,6.4974,6.3711,6.2647,6.1842,6.1447,6.107,6.0056,6.0072,5.9725,5.9352,5.8433,5.794,5.7873,5.7793,5.7539,5.7102,6.1051,6.2665,6.2105,6.2139,6.1685,6.0883,5.9843,5.8243,5.6276,5.3252,4.9986,4.6668,4.239,3.9086,3.6408,3.3839,3.2777,3.2574,3.2414,3.3177,3.4293,3.492,3.5546,3.6246,3.6595,3.6183,3.5725,3.6089,3.493,3.42,3.6385,3.648,3.5834,3.5505,3.5858,3.6062,3.5724,3.7153,3.8447,3.7823,3.9144,4.0571,4.1878,4.4141,4.6496,4.887,4.92,4.9695,5.0572,4.9614,4.8148,4.6224,4.3978,4.206,4.0515,3.9707,3.9151,3.9103,4.0234,4.1396,4.2784,4.211,4.1969,4.2687,4.1885,4.1071,4.0074,4.0379,4.0137,4.0023,4.4441,5.0119,5.5293,6.1706,6.7104,6.8687,6.9263,6.9045,6.7853,6.6781,6.5895,6.5176,6.5116,6.4959,6.4443,6.5213,6.6073,6.6277,6.7278,6.8238,6.8912,6.9463,6.9307,6.8515,6.7642,6.6297,6.4898,6.3054,6.1554,6.0706,5.9193,5.817,5.7619,5.6936,5.6094,5.538,5.4784,5.4472,5.4439,5.4322,5.4078,5.3609,5.7495,5.9571,5.9859,5.9939,5.9638,5.8782,5.7591,5.597,5.4135,5.1119,4.8213,4.5068,4.0767,3.7558,3.4998,3.276,3.1825,3.1596,3.0809,3.1304,3.2088,3.1598,3.1349,3.1243,3.0719,2.9897,2.9122,2.8511,2.8148,2.8325,2.9198,3.2055,3.4548,3.4654,3.5645,3.6386,3.5554,3.7504,3.9075,3.8574,4.0008,4.2038,4.4377,4.6319,4.804,4.9621,5.0259,5.0962,5.1866,5.0702,4.8865,4.6287,4.3846,4.1655,3.9726,3.8723,3.8231,3.8508,3.9693,4.0755,4.1524,4.1045,4.1067,4.1757,4.1229,4.0812,4.0634,4.044,4.0227,4.2642,4.7671,5.3525,6.0347,0.0,6.9899,6.9892,7.0353,7.035,6.8914,6.8421,6.7703,6.6625,6.675,6.6737,6.6052,6.6577,6.7212,6.7598,6.8994,7.0114,7.0546,7.1217,7.1319,7.0315,6.8931,6.7106,6.4766,6.2545,6.0509,5.8515,5.6953,5.5786,5.4947,5.4365,5.3808,5.3082,5.2124,5.1629,5.1397,5.0925,5.043,5.0099,5.3983,5.6238,5.6903,5.6975,5.6445,5.5627,5.4441,5.2928,5.1117,4.8025,4.5035,4.2137,3.7885,3.4931,3.281,3.0655,2.9626,2.9051,2.833,2.8224,2.8196,2.7194,2.644,2.5735,2.4408,2.3322,2.2352,2.1846,2.1747,2.219,2.3509,2.797,3.2113,3.2909,3.4574,3.5884,3.5821,3.7629,3.9072,3.9184,4.1153,4.347,4.5534,4.7078,4.8645,5.018,5.1073,5.1666,5.204,5.1022,4.8964,4.587,4.3842,4.1976,3.9969,3.8741,3.8139,3.8262,3.8993,3.9744,4.0717,4.0203,4.015,4.074,3.9731,3.9302,3.9253,3.932,3.932,4.4723,5.078,5.6936,6.5334,6.8653,0.0,7.0215,7.0576,7.0592,6.9703,6.9432,6.8963,6.7576,6.7562,6.7648,6.7232,6.7624,6.8168,6.8864,7.0589,7.1805,7.1989,7.279,7.2912,7.1793,7.0115,6.7718,6.4447,6.1433,5.8658,5.5947,5.4584,5.3401,5.2262,5.1775,5.1429,5.0888,4.9618,4.8916,4.8875,4.7925,4.7379,4.7237,5.0433,5.2349,5.3399,5.3034,5.2514,5.1492,5.0458,4.8923,4.7087,4.4006,4.1135,3.8363,3.4539,3.1969,2.9993,2.8354,2.691,2.594,2.5524,2.4847,2.3771,2.2544,2.1437,2.0307,1.85,1.7008,1.5898,1.5819,1.5784,1.6398,1.8599,2.3322,2.7992,3.0339,3.2806,3.4789,3.5444,3.738,3.9242,4.004,4.2545,4.4846,4.6266,4.7758,4.9365,5.1084,5.1901,5.2269,5.216,5.1094,4.8917,4.5537,4.406,4.2563,4.0622,3.9259,3.8416,3.8326,3.8208,3.8709,3.9886,3.93,3.917,3.9405,3.8206,3.754,3.7373,3.7856,3.8227,4.0036,4.8893,5.8995,6.6666,6.9248,6.9978,0.0,0.0,6.9648,0.0,6.9631,6.9425,6.9154,6.9031,6.88,6.848,6.929,6.9927,7.007,7.1239,7.2313,7.3204,7.2917,7.2303,7.1298,6.8919,6.5906,6.2274,5.845,5.5336,5.3391,5.0858,4.9185,4.8777,4.8189,4.7515,4.6966,4.6363,4.6095,4.6161,4.5943,4.599,4.6201,4.6045,4.7147,4.8825,4.7648,4.7129,4.687,4.4464,4.3008,4.1905,3.8595,3.623,3.4325,3.1311,2.8913,2.7042,2.6127,2.4939,2.3674,2.2545,2.1739,2.0722,1.865,1.6952,1.5319,1.3689,1.209,1.0809,1.0362,1.0614,1.1343,1.3398,1.6376,2.0545,2.6526,3.0351,3.2879,3.35,3.6794,4.0052,4.19,4.4034,4.6113,4.7923,4.9718,5.1615,5.3533,5.351,5.3397,5.341,5.1363,4.8873,4.5995,4.432,4.2651,4.0846,3.9565,3.8643,3.8204,3.7976,3.7931,3.8045,3.8134,3.8199,3.7965,3.7148,3.6719,3.6652,3.7132,3.7618,4.4862,5.2826,6.0022,6.6921,6.8847,6.9219,7.0244,7.0029,6.9414,6.914,6.9121,6.9149,6.9019,6.92,6.9174,6.888,6.9203,6.9616,6.9845,7.1183,7.2139,7.2588,7.2711,7.2102,7.0469,6.7821,6.4317,6.0088,5.6404,5.2966,5.0288,4.8499,4.7197,4.6619,4.6402,4.6345,4.6615,4.598,4.5706,4.5576,4.5482,4.5007,4.4185,4.3309,4.3894,4.568,4.4359,4.3617,4.2816,4.0672,3.8976,3.7422,3.4165,3.1926,3.0186,2.7555,2.5682,2.4378,2.3399,2.2432,2.1258,2.005,1.8852,1.7428,1.5476,1.3683,1.202,1.0273,0.8917,0.7967,0.7674,0.7919,0.883,1.0582,1.3158,1.627,2.0612,2.5662,3.0359,3.3676,3.6881,3.9954,4.2305,4.4606,4.6678,4.8541,5.0675,5.2493,5.3768,5.4697,5.4898,5.4002,5.2681,5.0758,4.8252,4.6273,4.4509,4.3112,4.1163,3.9657,3.8799,3.8162,3.7551,3.6726,3.6725,3.656,3.633,3.5135,3.4668,3.4761,3.5422,3.5804,4.6947,5.3441,5.808,6.5202,6.7316,6.822,6.9486,6.937,6.9054,6.8822,6.885,6.8853,6.8796,6.9064,6.9328,6.9072,6.9228,6.9632,6.9857,7.1125,7.2079,7.2222,7.221,7.1542,6.9386,6.6407,6.2782,5.7982,5.4032,5.0698,4.7708,4.6314,4.5501,4.4867,4.5063,4.5411,4.6236,4.5832,4.5658,4.5418,4.4866,4.3752,4.2097,4.0533,4.0475,4.1419,4.0825,4.0105,3.8967,3.6979,3.5159,3.335,3.0495,2.839,2.6634,2.4521,2.3171,2.21,2.1133,2.0184,1.9172,1.7942,1.6549,1.483,1.3325,1.1776,1.0097,0.8655,0.7702,0.6899,0.6879,0.7264,0.8053,0.977,1.1766,1.4299,1.7633,2.284,2.8146,3.2993,3.6178,3.8919,4.1752,4.4597,4.7133,4.9009,5.1572,5.3501,5.4146,5.5509,5.6051,5.4712,5.375,5.2318,4.9978,4.8006,4.6166,4.4642,4.241,4.05,3.9259,3.8065,3.6906,3.5655,3.4994,3.4714,3.4727,3.3353,3.2559,3.2313,3.2987,3.3343,4.0539,4.5938,5.0953,6.0161,6.4507,6.6965,6.8875,6.8469,6.8098,6.8635,6.8671,6.868,6.8701,6.8895,6.9091,6.9383,7.0435,7.1035,7.1035,7.1679,7.212,7.2629,7.1971,7.0424,6.8191,6.4752,6.0547,5.6037,5.1051,4.7445,4.5896,4.4122,4.3469,4.3671,4.3729,4.402,4.4782,4.4939,4.5116,4.5443,4.331,4.1588,4.019,3.7295,3.5554,3.4815,3.6082,3.5941,3.4818,3.2948,3.1303,2.9857,2.77,2.5916,2.448,2.2727,2.136,2.0426,1.9759,1.8699,1.7451,1.6349,1.5069,1.379,1.2673,1.127,0.99,0.9563,0.88,0.8229,0.8392,0.8758,0.9578,1.0962,1.2396,1.5035,2.0555,2.3975,2.6903,3.0061,3.3451,3.6873,4.0034,4.3992,4.7466,4.9553,5.279,5.5225,5.5683,5.6437,5.662,5.5846,5.4234,5.2459,5.0569,4.8787,4.6594,4.4068,4.2597,4.0891,3.8893,3.7079,3.5836,3.4987,3.2926,3.2376,3.3506,3.1829,3.0611,2.9813,2.9852,3.0187,3.583,4.1367,4.7087,5.506,5.9546,6.2787,6.575,6.6755,6.7241,6.7438,6.7528,6.7587,6.7396,6.8056,6.8804,6.8996,6.9407,6.9792,7.02,7.0979,7.1492,7.1273,7.0683,6.9009,6.5874,6.2331,5.8342,5.329,4.9658,4.6511,4.3921,4.3164,4.2425,4.191,4.2587,4.34,4.3976,4.4889,4.4423,4.2798,4.0603,3.8463,3.6172,3.3218,3.107,2.9884,2.9402,3.01,3.1262,2.9578,2.796,2.634,2.4904,2.3662,2.2535,2.1353,2.0397,1.948,1.9124,1.8207,1.704,1.6275,1.5162,1.4066,1.3121,1.201,1.092,1.0379,0.9888,0.9603,0.9938,1.0771,1.1976,1.3988,1.4949,1.6331,1.9506,2.2083,2.4721,2.7635,3.1459,3.5132,3.8236,4.2555,4.649,4.8808,5.1854,5.4107,5.4997,5.5566,5.5641,5.5406,5.4198,5.3105,5.1961,5.0103,4.808,4.6302,4.3885,4.1414,3.8969,3.722,3.5527,3.3903,3.212,3.1135,3.1211,2.987,2.8819,2.8057,2.7714,2.8057,3.0488,3.6259,4.2767,5.0775,5.4611,5.8076,6.4137,6.5335,6.5503,6.7094,6.7313,6.7116,6.6947,6.7592,6.8265,6.8258,6.8664,6.9161,6.9535,7.0299,7.0675,7.0294,6.9496,6.7614,6.3946,6.0804,5.6981,5.161,4.8671,4.5643,4.257,4.2267,4.194,4.132,4.2209,4.2823,4.328,4.3533,4.2503,4.0364,3.757,3.4863,3.2056,2.8926,2.6594,2.4993,2.3426,2.4583,2.7491,2.6261,2.4933,2.3479,2.2591,2.1733,2.0903,2.0123,1.9517,1.8912,1.8328,1.778,1.7089,1.6541,1.5795,1.4933,1.4307,1.347,1.269,1.2048,1.1735,1.1715,1.2186,1.3328,1.4773,1.6484,1.7192,1.791,1.9323,2.0898,2.2892,2.5601,2.9093,3.2718,3.62,4.0852,4.5029,4.7804,5.0892,5.3188,5.4311,5.442,5.4533,5.4793,5.3761,5.3039,5.2686,5.0589,4.8714,4.737,4.4238,4.1419,3.8812,3.686,3.4887,3.2936,3.1172,2.9894,2.9042,2.8217,2.7439,2.6567,2.6163,2.6641,0.0,0.0,0.0,4.6977,4.9665,5.2712,6.4075,6.3949,6.2809,6.7048,6.7609,6.729,6.7618,6.7341,6.7002,6.7128,6.834,6.9472,6.9472,6.9944,7.008,6.9683,6.8659,6.6641,6.308,6.0394,5.643,5.1122,4.7887,4.4834,4.1765,4.1274,4.1341,4.1658,4.2269,4.2436,4.2355,4.0998,3.9475,3.8166,3.4335,3.0937,2.8142,2.4631,2.2049,2.0269,1.8294,1.9771,2.353,2.2935,2.2057,2.1004,2.0729,2.0216,1.9636,1.9013,1.8668,1.8652,1.7657,1.7389,1.7402,1.7186,1.6683,1.6187,1.5946,1.5563,1.5068,1.4718,1.456,1.4508,1.5274,1.6588,1.7835,1.8406,1.8991,1.9645,2.0357,2.0687,2.1578,2.403,2.6606,2.9788,3.4109,3.8922,4.3313,4.6625,5.0031,5.2551,5.3702,5.3129,5.3098,5.4197,5.3074,5.2311,5.2684,5.0382,4.8387,4.6922,4.3621,4.0657,3.848,3.5893,3.3712,3.2103,3.0101,2.8466,2.7241,2.7063,2.6435,2.549,2.5153,2.5779,2.1183,0.0,0.0,0.0,0.0,0.0,0.0,5.5128,5.7304,6.2922,6.3181,6.3098,6.5477,6.5723,6.5484,6.5296,6.6639,6.7961,6.865,6.8949,6.8939,6.8914,6.8055,6.6109,6.2951,6.0288,5.6625,5.123,4.8469,4.5263,4.1561,4.0256,3.9936,4.0715,4.102,4.0917,4.0214,3.877,3.6902,3.4544,3.0927,2.7675,2.4701,2.175,1.9504,1.7784,1.6254,1.5853,1.656,1.7393,1.7541,1.7245,1.7005,1.7,1.7194,1.6846,1.6877,1.7261,1.6653,1.661,1.6596,1.6765,1.6613,1.6536,1.6458,1.6325,1.6163,1.5875,1.5932,1.648,1.7978,1.8835,1.9552,2.0572,2.1172,2.1661,2.2105,2.2166,2.2407,2.3263,2.6002,2.9236,3.2723,3.7565,4.2013,4.5273,4.7965,5.0075,5.1364,5.1208,5.1267,5.1585,5.1552,5.147,5.1642,4.9978,4.8183,4.6317,4.36,4.0653,3.7577,3.5688,3.3875,3.2103,3.0285,2.8932,2.8113,2.6718,2.5546,2.4619,2.3816,2.3778,0.0,0.0,0.0,0.0,0.0,0.0,4.9108,5.2154,5.4699,6.1666,6.2413,6.25,6.4248,6.4434,6.4347,6.4387,6.5563,6.6727,6.738,6.7967,6.8448,6.8071,6.7553,6.5924,6.3031,6.0397,5.6478,5.1222,4.866,4.5335,4.1178,3.9429,3.9018,3.9759,3.9858,3.9445,3.8699,3.6978,3.4948,3.2258,2.9077,2.6056,2.3167,2.0622,1.8372,1.6664,1.4961,1.3716,1.2919,1.3337,1.3778,1.4279,1.3995,1.4195,1.4646,1.4448,1.4837,1.5509,1.547,1.5696,1.6264,1.6817,1.7049,1.72,1.7498,1.757,1.7357,1.7184,1.7609,1.8313,1.9505,2.0417,2.1205,2.2258,2.2791,2.3183,2.3623,2.3552,2.342,2.3548,2.5615,2.8368,3.1352,3.5844,4.0132,4.3346,4.5943,4.8081,4.9539,4.9553,4.9587,4.9922,5.0064,5.0312,5.0471,4.889,4.7309,4.5712,4.2851,3.9978,3.7142,3.5519,3.392,3.2309,3.0626,2.9098,2.7628,2.629,2.5039,2.3852,2.2992,2.2422,2.0702,2.234,0.0,0.0,3.2006,0.0,4.8667,5.1204,5.2864,6.0457,6.2158,6.2459,6.2866,6.269,6.2792,6.3675,6.4557,6.535,6.6106,6.723,6.8066,6.7844,6.7208,6.5918,6.3686,6.0605,5.6705,5.166,4.8313,4.4679,4.0223,3.8631,3.8135,3.8806,3.8525,3.8001,3.7441,3.5563,3.3348,3.0928,2.8305,2.5652,2.2969,2.0672,1.8384,1.6369,1.4463,1.2926,1.1823,1.0799,1.1059,1.2124,1.1663,1.1766,1.2303,1.2209,1.2869,1.3865,1.4052,1.4926,1.5946,1.6977,1.7457,1.7851,1.8589,1.8574,1.8453,1.8365,1.9029,1.9811,2.0217,2.1436,2.2688,2.3351,2.3934,2.4365,2.4714,2.4559,2.4364,2.4474,2.5661,2.7427,3.0134,3.4087,3.7947,4.1038,4.3915,4.6284,4.7927,4.8122,4.8239,4.8869,4.8763,4.8835,4.9388,4.7543,4.5878,4.5035,4.1868,3.9074,3.6909,3.5323,3.3918,3.2364,3.0772,2.8878,2.6505,2.5785,2.4715,2.3381,2.2343,2.15,2.2439,2.3297,2.4592,2.5759,0.0,0.0,3.7357,4.0427,4.4037,5.0798,5.221,5.3225,5.6332,5.7568,5.8255,5.8401,6.0837,6.3857,6.6741,6.7148,6.7592,6.8543,6.7628,6.6451,6.5046,6.1663,5.7752,5.2936,4.5497,4.0418,3.8509,3.7486,3.7128,3.7643,3.7471,3.6789,3.589,3.3879,3.2107,3.0528,2.7653,2.5307,2.3433,2.1513,1.937,1.705,1.5257,1.3843,1.2636,1.1451,1.1033,1.1041,1.0729,1.0841,1.1246,1.1274,1.2011,1.2977,1.3207,1.4213,1.5293,1.571,1.622,1.6829,1.71,1.7386,1.7846,1.8529,1.9076,1.9566,2.0232,2.1538,2.275,2.2567,2.3735,2.4716,2.4277,2.4357,2.4668,2.5157,2.629,2.7734,2.9385,3.3175,3.6661,3.878,4.1355,4.3684,4.5141,4.6397,4.7207,4.7583,4.7971,4.8357,4.8476,4.6314,4.4471,4.3516,4.1255,3.9034,3.6739,3.5627,3.4144,3.2027,2.9966,2.8051,2.6277,2.5214,2.4257,2.337,2.1398,2.0254,2.403,2.4134,2.4813,2.5224,0.0,0.0,0.0,3.7157,4.0536,4.6684,4.7769,4.8562,5.2034,5.2859,5.3876,5.6569,5.8826,6.1186,6.3401,6.5609,6.7318,6.8239,6.7371,6.6342,6.4976,6.1683,5.6624,4.9607,4.2564,3.8209,3.7448,3.6125,3.5917,3.6591,3.6189,3.5534,3.4726,3.3294,3.186,3.039,2.8272,2.6451,2.5077,2.2944,2.0969,1.9317,1.6861,1.5177,1.4081,1.2651,1.1968,1.1594,1.0485,1.0176,1.0363,1.0493,1.1089,1.2084,1.2865,1.39,1.5042,1.5604,1.6068,1.6373,1.6832,1.6972,1.7075,1.751,1.7993,1.8545,1.917,2.0227,2.126,2.1443,2.235,2.3114,2.3041,2.332,2.3731,2.4439,2.5481,2.6834,2.8757,3.1821,3.462,3.6462,3.8937,4.115,4.2721,4.4184,4.5202,4.5513,4.5889,4.6199,4.6416,4.4719,4.312,4.2011,4.0461,3.8474,3.617,3.5194,3.3483,3.0894,2.9523,2.8087,2.6505,2.5518,2.442,2.3324,2.1523,2.0037,0.0,0.0,0.0,0.0,0.0,2.9249,0.0,0.0,0.0,4.3503,4.4413,4.5153,0.0,4.8132,4.9358,5.3219,5.5344,5.6941,5.7612,6.1314,6.4553,6.634,6.6093,6.5318,6.3867,5.9404,5.3222,4.4808,3.9539,3.6619,3.6327,3.4963,3.4602,3.5646,3.5054,3.4277,3.3688,3.2936,3.1817,3.0235,2.9025,2.7858,2.6764,2.4653,2.2984,2.1683,1.8865,1.713,1.6092,1.4611,1.3758,1.3226,1.1133,1.0184,1.0016,1.028,1.0824,1.158,1.2834,1.3908,1.4867,1.5752,1.5828,1.5833,1.6491,1.6405,1.6059,1.5972,1.6444,1.707,1.7407,1.8369,1.9251,1.9768,2.0343,2.0853,2.1222,2.1468,2.192,2.2919,2.3839,2.5213,2.773,3.0149,3.2367,3.3973,3.6368,3.8525,4.0047,4.1725,4.2952,4.3318,4.353,4.3877,4.434,4.3082,4.19,4.0873,3.9606,3.7997,3.5755,3.4279,3.2349,2.9836,2.9212,2.8409,2.7079,2.6329,2.5089,2.3372,2.186,2.0095,0.0,0.0,0.0,0.0,2.9271,0.0,0.0,0.0,3.5248,3.7026,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.9317,5.1356,5.5078,6.109,6.2816,6.2998,6.1902,5.3289,4.5813,4.1194,3.6848,3.4556,3.4557,3.4199,3.4108,3.4335,3.4408,3.3662,3.2204,3.2357,3.1522,2.9816,2.9406,2.8638,2.7565,2.6564,2.5092,2.3215,2.1833,2.0285,1.8897,1.7566,1.6594,1.5654,1.2996,1.1449,1.0966,1.1447,1.1737,1.2058,1.3414,1.44,1.5045,1.5152,1.4781,1.4416,1.4573,1.4626,1.4491,1.4405,1.4795,1.5201,1.5135,1.63,1.7409,1.6929,1.7906,1.8786,1.8452,1.8562,1.9207,2.0642,2.1562,2.2975,2.5758,2.8306,3.0162,3.0922,3.3302,3.5431,3.6634,3.8957,4.0787,4.162,4.211,4.265,4.3288,4.1847,4.0732,4.0379,3.9265,3.7831,3.6005,3.2904,3.0785,2.9676,2.8944,2.8442,2.8217,2.7901,2.6367,2.3699,2.1731,1.9905,0.0,0.0,0.0,0.0,0.0,0.0,2.895,0.0,3.1827,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.1208,0.0,4.1966,4.4776,4.9706,5.7341,5.7253,5.5735,5.3633,4.7423,4.2141,3.9117,3.5102,3.3129,3.3762,3.3392,3.332,3.3594,3.3743,3.3172,3.1809,3.206,3.1522,3.0429,2.99,2.9372,2.8901,2.8052,2.6939,2.5903,2.4202,2.2863,2.1761,2.0057,1.9016,1.8224,1.6436,1.4571,1.2987,1.3233,1.3413,1.3693,1.452,1.5057,1.5373,1.4917,1.432,1.369,1.3222,1.2989,1.2719,1.1968,1.235,1.2853,1.2131,1.3178,1.4357,1.4092,1.4908,1.5793,1.602,1.6464,1.7353,1.9154,2.0165,2.1454,2.3905,2.6462,2.8537,2.9623,3.1414,3.3127,3.4456,3.6146,3.7821,3.9376,3.9797,4.0334,4.1262,4.0336,3.9552,3.9186,3.7472,3.5585,3.3613,3.2025,3.0383,2.8652,2.8424,2.8195,2.7846,2.7705,2.689,2.5325,2.3585,2.1058,2.9924,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.5082,0.0,3.7699,0.0,0.0,0.0,4.8211,4.5275,4.1067,3.7971,3.6496,3.2955,3.1503,3.3124,3.2828,3.2772,3.3276,3.3276,3.2745,3.1875,3.1929,3.1679,3.1125,3.0685,3.0527,3.0409,2.974,2.9086,2.8381,2.711,2.5897,2.4635,2.3063,2.1822,2.0801,1.9956,1.8178,1.6019,1.5281,1.5122,1.5303,1.5625,1.567,1.5431,1.4657,1.3762,1.2759,1.2095,1.1534,1.087,0.9879,1.0046,1.0393,0.9621,1.0252,1.1194,1.1374,1.202,1.2787,1.3502,1.4246,1.5381,1.7385,1.8514,1.986,2.2276,2.474,2.6824,2.8077,2.9589,3.096,3.203,3.36,3.52,3.6832,3.7331,3.8038,3.9296,3.889,3.8405,3.7919,3.5954,3.3928,3.1867,3.122,2.9983,2.7952,2.8102,2.8052,2.7854,2.7797,2.7456,2.6919,2.4909,2.2236,0.0,0.0,0.0,2.9241,0.0,0.0,0.0,0.0,3.2732,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.8477,3.4115,3.1908,3.2936,2.9965,2.9565,3.2641,3.267,3.2839,3.3272,3.3059,3.2673,3.2007,3.2257,3.206,3.1531,3.1903,3.1878,3.1559,3.2228,3.1791,3.0361,3.06,2.9595,2.7758,2.6946,2.5488,2.3457,2.2857,2.1767,2.0374,1.7895,1.6881,1.6677,1.6592,1.5926,1.4982,1.4229,1.279,1.1377,1.1098,1.0132,0.9042,0.8638,0.827,0.798,0.7877,0.8034,0.8338,0.8733,0.9278,0.9954,1.0734,1.1613,1.2829,1.4891,1.6198,1.7853,2.0825,2.3145,2.4829,2.5526,2.7384,2.8746,2.8857,3.1501,3.3502,3.4011,3.5008,3.6242,3.7617,3.7586,3.7281,3.6797,3.5399,3.3779,3.1862,3.0373,2.9098,2.7988,2.791,2.8148,2.8767,2.8695,2.8487,2.806,2.475,2.3129,3.5477,3.6606,3.6944,3.2648,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.9832,2.9748,2.9907,2.9397,3.0068,3.2259,3.2929,3.3189,3.3022,3.3058,3.3008,3.2734,3.2594,3.269,3.2855,3.2838,3.2838,3.2947,3.3221,3.3053,3.2768,3.2332,3.1579,3.0779,2.9257,2.7555,2.5953,2.4856,2.3538,2.2114,1.9407,1.8498,1.8417,1.7042,1.5604,1.4267,1.3622,1.2266,1.0835,1.0028,0.913,0.8033,0.6698,0.6369,0.6192,0.5431,0.5766,0.6386,0.6582,0.7026,0.7705,0.8734,0.9713,1.1173,1.3767,1.5296,1.7221,2.0482,2.1956,2.338,2.5329,2.6513,2.7638,2.8828,2.9844,3.1289,3.3459,3.3975,3.4781,3.6358,3.6292,3.5932,3.5288,3.4445,3.3117,3.1291,2.9958,2.8773,2.7643,2.7313,2.7566,2.8419,2.8311,2.795,2.7376,2.4025,2.1457,3.8987,3.9906,4.0117,3.6425,3.6029,3.5383,3.0917,0.0,3.3745,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.1457,0.0,0.0,0.0,0.0,0.0,2.5153,2.6117,2.835,2.831,2.9569,3.2597,3.3303,3.3614,3.3529,3.3374,3.3497,3.3912,3.3271,3.3535,3.4293,3.4032,3.4088,3.4374,3.4758,3.4824,3.4644,3.4282,3.3658,3.2901,3.1338,2.9474,2.7648,2.6589,2.5271,2.3628,2.0883,1.9492,1.8651,1.7127,1.5431,1.3755,1.2948,1.1554,0.9932,0.8818,0.7819,0.6728,0.5246,0.4631,0.4321,0.3548,0.3752,0.4175,0.4451,0.4854,0.5467,0.6623,0.7859,0.9536,1.207,1.4026,1.6297,1.9491,2.0783,2.2247,2.4718,2.5681,2.6523,2.7696,2.8581,2.9973,3.2228,3.2866,3.3826,3.552,3.5798,3.5556,3.4715,3.4129,3.2904,3.0849,2.9878,2.8716,2.7273,2.6947,2.7243,2.8285,2.7944,2.7601,2.7103,2.3433,1.9838]},{"header":{"parameterUnit":"m.s-1","parameterCategory":1,"la1":30.6,"la2":29.2853,"lo1":-89.7004,"lo2":-87.6739,"dy":0.0162,"dx":0.0183,"nx":112,"ny":82,"refTime":"2024-09-08T00:00:00:Z","depth":0,"parameterNumber":3,"parameterNumberName":"V-component_of_WINDS"},"data":[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.1343,3.5021,3.8608,4.02,3.8964,3.7089,3.3418,2.746,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.2201,3.9598,3.9911,3.9578,3.9601,3.7304,3.4068,2.9979,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.1509,3.5527,4.1512,4.0971,4.0052,3.9847,3.7497,3.4399,3.0556,2.6126,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.7335,3.8685,4.2279,4.1464,4.0527,4.0271,3.7401,3.4143,3.0814,2.6241,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.7725,4.0235,4.2241,4.0929,4.0275,4.1237,3.6694,3.313,3.161,2.5331,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.6869,3.9268,0.0,4.0683,4.0338,4.0746,3.7838,3.4746,3.1738,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.3625,3.6713,3.9072,0.0,4.0831,4.0639,4.0877,3.8055,3.4708,3.0957,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.4133,3.7578,4.0201,4.1985,4.1425,4.1182,4.1863,3.6869,3.2406,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.4055,3.8602,4.1423,4.1522,4.1865,4.1898,4.1391,3.8322,3.4306,2.9321,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.5229,3.9476,4.2149,4.2368,4.2603,4.2464,4.1661,3.9447,3.5619,2.987,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.7144,4.0341,4.2617,4.4234,4.3706,4.3106,4.2669,4.0435,3.6649,3.1005,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.6548,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.8208,4.1701,4.4205,4.5621,4.5401,4.4944,4.4483,4.2273,3.8703,3.354,2.8668,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.8226,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.025,4.3779,4.6069,4.6789,4.6539,4.5988,4.5076,4.3229,4.0345,3.6151,3.1533,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.3028,5.1442,5.0454,4.9501,4.8872,4.7986,3.8555,3.3549,3.101,1.871,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.4644,3.208,2.1041,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.2711,4.614,4.8032,4.8009,4.7628,4.6902,4.5735,4.4276,4.2106,3.898,3.4966,3.1226,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-0.3377,-0.1898,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.9962,4.3878,4.8679,5.359,5.8689,6.0733,6.0011,5.6757,5.5205,5.4451,5.4125,4.9535,0.0,3.4418,2.6825,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.6137,4.0256,4.1727,4.2288,0.0,3.2235,2.4476,2.9249,2.2043,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.5132,4.8338,4.9991,4.9603,4.9247,4.8769,4.8185,4.6847,4.4939,4.2409,3.9114,3.593,3.3026,2.8927,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-0.4724,-0.2933,-0.0714,0.111,0.2825,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.0477,3.5475,4.349,5.4613,5.8203,6.0564,6.1703,6.1646,6.0954,5.9709,5.858,5.6753,5.4299,5.2677,4.8124,4.1354,3.324,2.4405,1.5503,0.0,0.0,0.0,0.0,1.2726,2.3516,2.3179,2.6782,3.0997,2.8076,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.0854,0.0,0.0,4.0895,4.4754,4.5537,4.5471,4.5619,4.1255,3.598,0.0,2.8434,2.5561,2.1909,0.0,0.0,0.0,0.0,4.2931,4.6916,4.996,5.1407,5.0446,5.0006,4.9658,4.9174,4.7514,4.5812,4.4403,4.1635,3.9282,3.7452,3.4144,3.1101,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-0.4229,-0.2212,0.0602,0.2846,0.5043,0.0,0.0,0.0,0.0,0.0,0.0,2.9299,3.4399,3.9294,4.3902,4.8271,5.3795,6.0529,6.2925,6.4026,6.3841,6.1698,6.0823,6.1078,6.0054,5.7636,5.4289,5.3549,5.1082,4.6962,3.8034,3.0192,2.3331,1.9016,1.4904,1.1465,1.1659,1.9396,3.0128,3.2588,3.3031,3.1782,2.7197,2.8383,3.0885,2.682,0.0,0.0,0.0,0.0,3.1936,3.7711,4.1459,4.4464,4.7341,4.8017,4.77,4.6528,4.6868,4.4163,0.0,3.4503,3.4399,2.5785,0.0,0.0,0.0,0.0,4.6148,4.8805,5.1411,5.2514,5.1083,5.0638,5.0247,4.9889,4.7884,4.6396,4.5724,4.3733,4.2126,4.1047,3.9161,3.6896,3.428,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2306,0.5293,0.0,0.0,0.0,0.0,2.1713,2.7452,3.3091,3.8459,4.4233,4.8794,5.1916,5.4901,5.8933,6.3984,6.3792,6.3978,6.4597,6.3028,6.1934,6.1082,5.8962,5.7487,5.6392,5.3639,5.1443,4.9124,4.0704,3.629,3.4316,3.0311,3.0023,3.1985,3.3479,3.6007,3.8776,3.984,3.8695,3.6284,3.3633,3.0239,2.6544,2.3396,2.4034,0.0,0.0,3.5646,4.0954,4.1304,4.4064,4.6903,4.777,4.9554,5.097,5.0866,4.9631,4.6903,0.0,4.1853,4.202,3.806,0.0,3.865,4.3131,4.5971,4.8555,5.1208,5.2834,5.3181,5.1704,5.1256,5.0931,5.0679,4.8678,4.7167,4.65,4.5686,4.4687,4.3567,4.3392,4.2109,3.949,3.6137,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.5531,0.9001,0.0,1.6239,2.0002,2.42,2.893,3.4618,4.0288,4.5725,5.0994,5.4749,5.6692,5.9467,6.1365,6.2225,6.3346,6.3992,6.4323,6.3021,6.2118,6.1467,6.0054,5.8652,5.7119,5.5454,5.3576,5.1313,4.5997,4.2226,3.9583,3.7557,3.7288,3.8302,4.051,4.1869,4.2711,4.3706,4.2423,3.9686,3.5933,3.331,3.1587,3.0955,3.184,3.3637,3.6496,4.0702,4.4717,4.6487,4.7913,4.8871,4.917,4.8903,4.8821,4.9109,4.8852,4.78,4.5094,4.4203,4.332,4.1491,4.2334,4.3788,4.5455,4.9135,5.2003,5.2944,5.3778,5.3917,5.3007,5.1752,5.112,5.1335,4.9438,4.8175,4.8082,4.7341,4.6885,4.6834,4.6821,4.581,4.3691,4.148,3.7009,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3935,0.8442,1.2421,1.665,2.1344,2.5938,3.0875,3.6437,4.2112,4.7588,5.2674,5.6779,5.9595,6.0943,6.2561,6.2781,6.1469,6.291,6.3525,6.3518,6.2776,6.2343,6.2206,6.0993,5.9498,5.7969,5.6772,5.5434,5.3776,5.0155,4.6785,4.3942,4.2556,4.2458,4.3413,4.5043,4.5853,4.6187,4.6366,4.4643,4.185,3.8031,3.5874,3.5045,3.667,3.7667,3.8805,4.1541,4.4673,4.7624,4.9457,4.9693,4.9421,4.9421,4.8355,4.7396,4.7709,4.8103,4.8245,4.7738,4.6296,4.5001,4.4689,4.6179,4.7597,4.7854,5.0974,5.3229,5.3264,5.3591,5.3677,5.3324,5.1935,5.1195,5.1649,4.9512,4.8351,4.8857,4.7805,4.7416,4.7947,4.7664,4.6732,4.5177,4.2454,3.797,3.1707,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-0.12,0.221,0.6368,1.0948,1.5638,2.0678,2.6247,3.1959,3.7833,4.3961,4.9859,5.4981,5.9143,6.1533,6.3506,6.5018,6.4286,6.3377,6.2275,6.2645,6.2718,6.2438,6.2336,6.2753,6.3383,6.1467,6.0087,5.9056,5.7476,5.6777,5.6546,5.2873,5.0077,4.7993,4.5493,4.6055,4.8218,4.8162,4.881,4.9514,4.7852,4.549,4.2832,4.0277,3.7704,3.6315,3.9695,4.118,4.2284,4.5033,4.7782,4.9931,4.9852,4.9259,4.8604,4.8521,4.788,4.7339,4.7399,4.7739,4.8324,4.9272,4.8403,4.7681,4.8064,4.9094,5.0033,5.0849,5.1695,0.0,5.2251,5.2273,5.2387,5.2545,5.1728,5.1268,5.1656,4.9077,4.7737,4.8596,4.7136,4.6463,4.6922,4.6113,4.5078,4.3948,3.9067,3.4975,3.167,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-0.0119,0.1704,0.1813,0.5689,1.046,1.5539,2.1004,2.6769,3.2823,3.8153,4.3812,4.9892,5.4288,5.8345,6.2078,6.3942,6.5238,6.5896,6.582,6.5148,6.3819,6.3885,6.3766,6.3373,6.3188,6.3127,6.3164,6.2016,6.1084,6.0412,5.9033,5.7766,5.6572,5.4737,5.2734,5.055,4.8078,4.8612,5.0657,4.9667,4.9473,4.9417,4.704,4.4557,4.2225,4.0686,3.9673,3.9856,4.3944,4.4903,4.4953,4.625,4.8201,4.9741,4.9097,4.8769,4.8438,4.7794,4.7452,4.7992,5.0631,4.9591,4.8355,4.9015,4.8699,4.8634,4.9746,4.9959,5.0362,5.1315,5.2405,0.0,5.3062,5.308,5.2858,5.2516,5.2119,5.1825,5.1663,5.0566,4.9788,4.9549,4.8418,4.8549,5.0327,4.9321,4.7978,4.6497,4.1006,3.6746,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.3277,0.6005,0.8435,1.1118,1.5045,2.096,2.6572,3.2533,3.9204,4.4126,4.9483,5.5722,5.8599,6.159,6.5197,6.5839,6.6437,6.725,6.6699,6.5952,6.498,6.4961,6.4513,6.3681,6.3757,6.3785,6.387,6.288,6.2171,6.1756,6.0191,5.8623,5.7068,5.5722,5.4467,5.3107,0.0,0.0,0.0,0.0,5.0598,4.932,4.6766,4.4471,4.2452,4.1836,4.1912,4.2798,4.5961,4.6404,4.619,4.8135,4.9277,4.9741,4.9259,4.8852,4.8355,4.7482,4.8498,5.0026,5.1563,5.0143,4.8769,4.9097,4.9061,0.0,5.0438,5.0093,4.9887,5.0639,5.1605,5.2227,5.2283,5.2585,5.2702,5.2526,5.2297,5.2306,5.2636,5.1823,0.0,0.0,0.0,4.9856,5.0155,4.882,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.0878,2.9721,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.708,1.116,1.7173,1.8542,2.1197,2.7078,3.2544,3.8432,4.5254,4.9801,5.4848,6.084,6.2415,6.4638,6.8153,0.0,0.0,0.0,0.0,6.6318,6.6151,6.5945,6.5286,6.4273,6.4495,6.482,6.5337,6.4062,6.344,6.3076,6.1169,5.9425,5.7902,5.6368,5.5708,5.5664,5.3192,5.2972,5.3907,5.3617,5.1875,4.932,4.6766,0.0,0.0,4.3488,4.4189,4.5204,4.6969,4.6956,4.7066,5.0338,5.0634,5.0074,5.0311,4.9509,4.8446,4.7842,5.0152,5.2211,5.119,5.0204,4.954,4.9447,4.9457,4.9716,5.0464,4.9726,4.9182,4.9547,5.0149,5.055,5.0643,5.1449,5.209,5.2245,5.2412,0.0,5.4056,5.3153,5.311,5.4463,5.3159,5.1232,4.867,4.7196,4.5909,4.4818,4.4688,4.4417,4.4075,4.5301,4.5548,4.4559,3.6432,3.4918,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7767,1.192,1.7347,2.4354,2.9816,3.33,3.4008,3.9576,4.5372,5.0182,5.4906,5.9168,6.2921,6.4818,6.6989,6.9569,6.8621,6.8694,7.0089,6.8594,6.7884,6.8202,6.7391,6.7216,6.781,0.0,0.0,6.7323,6.6635,6.5511,6.4203,6.2573,6.0775,5.8791,5.8204,5.8115,5.825,5.5749,5.5566,5.6316,5.4284,5.1875,4.932,4.6766,4.4785,4.3488,4.4874,4.5832,4.7103,5.0364,5.0798,0.0,5.1038,5.1092,5.1334,5.2879,5.0944,4.8906,5.0125,5.0933,5.1604,5.2181,5.1791,5.1172,5.059,5.039,5.0217,5.0163,4.9719,4.9577,5.0051,5.0204,5.0133,4.9781,5.0822,5.1321,5.0498,5.2492,5.4096,5.4605,5.5612,5.6395,5.6689,5.6478,5.5207,5.2738,5.2411,5.128,4.9112,4.7495,4.6453,4.6209,4.6486,4.7511,4.917,4.5415,4.3912,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6967,0.6625,0.0,0.9729,1.3398,1.8613,2.4751,3.2053,3.8986,4.286,4.1624,4.6547,5.1575,5.5622,5.9161,6.2416,6.5255,6.6214,6.7764,7.0397,6.9479,6.9498,7.1061,7.0073,6.9577,6.9737,6.9194,6.9024,6.9203,6.8528,6.8483,6.9091,6.8196,6.7243,6.6337,6.4539,6.2438,6.0229,5.8531,5.8439,5.9008,5.7514,5.6733,5.6222,5.4244,5.1875,4.9514,4.7822,4.6635,4.5959,4.579,4.6294,4.7221,4.9104,5.0399,5.1092,5.0711,5.1581,5.2745,5.3295,5.2185,5.1244,5.2191,5.2112,5.1869,5.2201,5.2002,5.1536,5.0876,5.0663,5.05,5.0051,5.0156,5.0357,5.021,5.012,5.0068,4.9931,5.1176,5.1972,5.1669,5.3882,5.5823,5.6983,5.8685,5.9722,5.9674,5.8891,5.7691,5.5901,5.5069,5.3479,5.102,5.035,4.9466,4.8413,4.912,5.0311,5.2036,5.0803,4.9796,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0326,0.9853,0.9234,0.9187,0.9454,0.9944,1.1676,1.4668,1.9552,2.5803,3.2541,3.9828,4.7123,5.1463,5.0717,5.392,5.7494,6.0674,6.3087,6.5295,6.7523,6.7544,6.847,7.0907,7.0082,7.0229,7.1689,7.1176,7.0907,7.0953,7.0787,7.0536,7.0204,6.9773,6.9951,7.0733,6.966,6.897,6.8413,6.598,6.3671,6.1451,5.8923,5.8325,5.9115,5.8532,5.7334,5.5823,5.4139,5.2247,5.0406,4.9273,4.8934,4.8885,4.7308,4.7237,4.7702,4.749,4.9102,5.0916,5.0755,5.2576,5.4366,5.3407,5.3367,5.35,5.35,5.3012,5.2446,5.2162,5.2061,5.1723,5.1152,5.1045,5.0847,5.0367,5.0653,5.087,5.0624,5.0187,5.012,5.0641,5.1793,5.2798,5.3495,5.5462,5.7765,6.0201,6.198,6.293,6.2908,6.1438,6.0088,5.8905,5.6902,5.4873,5.2733,5.277,5.2126,5.066,5.1796,5.2869,5.3959,5.4241,5.3876,2.0254,1.8254,1.6401,1.5793,1.5017,1.4531,0.0,1.3841,1.2386,1.1648,1.1655,1.1886,1.2153,1.5143,1.9424,2.5271,3.2566,3.9981,4.7472,5.4453,5.9831,6.2434,6.2532,6.2954,6.4697,6.6987,6.849,6.8854,6.9617,7.0416,7.1175,7.0774,7.093,7.1849,7.1227,7.1255,7.1947,7.1287,7.1438,7.244,7.1735,7.183,7.2381,7.1721,7.0736,6.9597,6.6127,6.3391,6.1557,6.0652,5.9843,5.913,5.8608,5.8172,5.7584,5.476,5.3652,5.3232,5.0636,5.0246,5.0876,5.0661,5.0639,5.0532,4.9769,4.9757,5.0517,5.2934,5.5027,5.6203,5.5228,5.4229,5.35,5.35,5.3172,5.2805,5.3018,5.3,5.2852,5.2352,5.2123,5.1932,5.1568,5.069,5.0532,5.1897,5.0706,5.0248,5.1961,5.2216,5.2786,5.4137,5.6428,5.9709,6.4188,6.5118,6.5672,6.6067,6.5035,6.3791,6.2439,5.9528,5.7302,5.617,5.3974,5.2845,5.2681,5.3075,5.3819,5.5007,5.6123,5.631,2.2414,2.0332,1.8526,1.7963,1.7337,1.6701,1.6357,1.556,1.4631,1.4088,1.448,1.53,1.6495,2.1192,2.6873,0.0,4.1338,4.9082,5.5002,6.0459,6.4263,6.5635,6.6107,6.667,6.7288,6.9011,7.0004,6.9842,7.0294,7.1232,7.2509,7.1889,7.2175,7.385,7.3342,7.3224,7.3558,7.3462,7.33,7.3141,7.2913,7.322,7.3775,7.298,7.1745,7.0158,6.7409,6.5367,6.3844,6.2524,6.1617,6.0939,5.9944,5.9776,5.9679,5.7232,5.6081,5.558,5.4401,5.3856,5.3628,5.3628,5.2216,5.0402,5.001,4.9501,4.977,5.2542,5.4544,5.5581,5.4466,5.4052,5.3739,5.353,5.3448,5.3495,5.3568,5.3532,5.3456,5.3481,5.3183,5.261,5.1592,5.1614,5.3305,5.7739,5.4534,5.2399,5.4626,5.5147,5.6451,5.9281,6.0818,6.2699,6.5468,6.6164,6.6527,6.6637,6.6003,6.4946,6.3224,6.1565,5.9338,5.6369,5.5345,5.3923,5.2175,5.2939,5.3714,5.4552,5.5493,5.6237,2.3527,2.2282,2.1256,2.0321,2.007,1.966,1.8101,1.7487,1.7139,1.6667,1.7568,1.9166,2.1626,2.7568,3.4364,4.0956,4.9657,5.7048,6.1166,6.506,6.73,6.6808,6.7571,6.8327,6.8659,7.0106,7.1007,7.0799,7.1014,7.1873,7.3519,7.2798,7.3237,7.5158,7.4959,7.4772,7.4717,7.4659,7.4274,7.3704,7.3475,7.3659,7.4304,7.3605,7.247,7.1252,6.914,6.7468,6.6109,6.4504,6.3328,6.2415,6.1468,6.1065,6.1021,5.9507,5.8292,5.7317,5.7053,5.622,5.5328,5.4832,5.2879,5.0743,5.0988,4.9883,4.9189,5.1929,5.3179,5.3562,5.3304,5.3334,5.351,5.37,5.3862,5.4097,5.4377,5.4577,5.464,5.4759,5.4622,5.4297,5.3263,5.4064,5.6655,6.2073,5.9073,5.6752,5.8176,5.8657,5.9987,6.2809,6.3725,6.4697,6.6005,6.6705,6.712,6.7256,6.6711,6.5821,6.4339,6.3154,6.083,5.7346,5.6446,5.4686,5.2116,5.2732,5.3224,5.3496,5.4684,5.5783,2.3254,2.3885,2.4723,2.2941,2.3601,2.3853,2.111,2.0353,2.0096,1.9519,2.0737,2.3296,2.7497,3.3885,4.1141,4.9163,5.6763,6.2628,6.555,6.8147,6.9106,6.7377,6.7236,6.7618,0.0,7.0476,7.1874,7.2001,7.2085,7.2549,7.3555,7.3343,7.3763,7.508,7.5289,7.5289,7.5117,7.3873,7.3643,7.4362,7.3186,7.303,7.3826,7.3419,7.3307,7.3169,7.12,6.9367,6.7668,6.6656,6.4779,6.2626,6.2519,6.1941,6.1277,6.1088,6.0,5.8505,5.7341,5.6188,5.5081,5.3377,5.2757,5.2754,5.3719,5.1465,4.9189,5.1929,5.1353,5.0271,5.2023,5.2221,5.2388,5.3823,5.4389,5.4737,5.5668,5.6373,5.6716,5.6305,5.6834,5.7367,5.7775,5.8497,5.9977,6.2769,6.3703,6.3748,6.2567,6.232,6.2378,6.2576,6.3655,6.4917,6.6307,6.7104,6.7869,6.8566,6.7787,6.7065,6.6598,6.405,6.1963,6.0299,5.7248,5.4869,5.3285,5.2852,5.2427,5.2017,5.4351,5.5438,2.5836,2.5959,2.6115,2.63,2.6142,2.5521,2.3992,2.3193,2.2753,2.2504,2.4232,2.7231,3.2174,3.9301,4.6844,5.4486,6.1896,6.7005,6.8208,7.0026,6.9804,6.5936,6.6628,0.0,0.0,0.0,0.0,7.2477,7.3067,7.394,7.5308,7.447,7.4738,7.6399,7.6043,7.5726,7.5446,7.5389,7.5008,7.4189,7.4191,7.4551,7.5098,7.4905,7.4383,7.3572,7.222,7.0683,6.9054,6.8146,6.6823,6.5239,6.5109,6.4689,6.4188,6.3964,6.3356,6.246,6.0706,5.9688,5.8868,5.712,5.6059,5.5162,5.3613,5.2317,5.1352,5.1607,5.1199,5.106,5.2456,5.3008,5.3476,5.4382,5.5189,5.5842,5.6404,5.7558,5.8402,5.8468,5.9058,5.9895,6.0919,6.1401,6.2538,6.5262,6.4766,6.4001,6.3615,6.3788,6.4171,6.487,6.5408,6.6203,6.7139,6.7904,6.8593,6.9281,6.8873,6.8176,6.7295,6.5977,6.3601,6.0173,5.8318,5.575,5.2532,5.2523,5.2393,5.2085,5.3799,5.5077,2.9023,2.9218,2.909,2.9715,2.9324,2.8454,2.7205,2.6493,2.6146,2.6041,2.8121,3.1608,3.693,4.4229,5.1915,5.9671,6.5998,7.0187,7.0842,7.1616,7.0596,6.6531,6.6916,6.7394,0.0,0.0,0.0,7.2484,7.3581,7.4723,7.6239,7.5625,7.5807,7.7056,7.6642,7.6162,7.5843,7.5865,7.5328,7.4319,7.4516,7.5181,7.6329,7.5798,7.5247,7.4619,7.3607,7.2027,7.0299,6.9562,6.8394,6.7118,6.7149,6.6931,6.6544,6.6245,6.6113,6.5856,6.3666,6.2657,6.2058,6.0066,5.857,5.709,5.4409,5.3493,5.2997,5.1874,5.1443,5.1528,5.2148,5.31,5.4114,5.5062,5.6293,5.7529,5.8542,5.9884,6.0972,6.1245,6.2157,6.3192,6.4329,6.5179,6.6423,6.8182,6.7286,6.6208,6.5511,6.561,6.5689,6.5749,6.6145,6.6526,6.6795,6.7845,6.8572,6.8864,6.9105,6.8773,6.7803,6.7133,6.5126,6.171,5.9471,5.6603,5.2997,5.2167,5.1666,5.1405,5.2799,5.4262,3.2496,3.3344,3.3555,3.3215,3.3125,3.2595,3.071,3.0232,3.0193,3.007,3.2411,3.617,4.1573,4.8586,5.6285,6.4542,6.9318,7.2329,7.346,7.3158,7.1853,0.0,0.0,0.0,0.0,0.0,0.0,7.2403,7.3867,7.5213,7.6384,7.6752,7.6975,7.7166,7.6939,7.6643,7.6311,7.5181,7.4722,7.4729,7.415,7.5093,7.7445,7.6121,7.5882,7.6365,7.5169,7.3523,7.1512,7.0973,6.9867,6.8463,6.8631,6.8598,6.8298,6.8028,6.8171,6.8243,6.5995,6.5152,6.4457,6.184,6.0183,5.865,5.6137,5.4964,5.4006,5.2601,5.1897,5.1578,5.1364,5.2533,5.4333,5.5953,5.7818,5.9755,6.1815,6.3186,6.4123,6.4474,6.585,6.7229,6.7925,6.9885,7.1323,7.1172,7.1143,7.031,6.8186,6.7605,6.6872,6.5344,6.5849,6.6105,6.5584,6.7092,6.7893,6.7591,6.8552,6.885,6.8286,6.7631,6.6403,6.4481,6.0621,5.7221,5.44,5.2042,5.0629,5.0216,5.1728,5.2986,3.5251,3.6257,3.6726,3.6724,3.638,3.5624,3.423,3.3618,3.3216,3.2935,3.5272,3.8732,4.3381,5.1598,5.9838,6.6352,7.2477,7.641,7.6085,7.6584,0.0,7.1801,0.0,7.2458,7.2113,7.3091,0.0,0.0,7.6678,7.7389,7.8255,7.8492,7.8333,7.7778,7.7516,7.6823,7.5937,7.5619,7.543,7.5615,7.5621,7.6381,7.7482,7.7144,7.6708,7.6069,7.5707,7.4636,7.3094,7.2474,7.188,7.1182,7.0928,7.0531,7.0095,6.9582,6.9294,6.9106,6.7805,6.6712,6.553,6.3617,6.1516,5.9652,5.8851,5.6839,5.4899,5.4458,5.3495,5.2377,5.2367,5.2846,5.4411,5.8198,6.087,6.2915,6.3766,6.5362,6.6772,6.7201,6.9344,7.129,7.199,7.287,7.3353,7.3188,7.2662,7.1221,6.8343,6.7885,6.7089,6.5381,6.6245,6.656,6.5824,6.6878,6.7796,6.8357,6.859,6.8879,6.9343,6.8792,6.707,6.4026,6.14,5.8297,5.4403,5.3093,5.252,5.2355,5.3259,5.4173,3.9247,4.0181,4.0512,4.0414,3.9668,3.8428,3.6734,3.5844,3.5077,3.4274,3.7059,4.0458,4.2979,5.2865,6.2104,6.6809,7.3898,7.8891,7.9287,7.9612,7.8819,0.0,7.6262,0.0,7.642,7.6855,7.7901,7.9703,7.8904,7.8649,7.9449,7.9688,7.9288,7.8353,7.8014,7.7378,7.6444,7.6086,7.6232,7.6943,7.6366,7.7009,7.864,7.7972,7.7579,7.7312,7.6704,7.5599,7.4003,7.3376,7.2777,7.2441,7.2248,7.1945,7.176,7.1496,7.1113,7.0567,6.9698,6.8863,6.7684,6.5034,6.3133,6.1486,6.0197,5.8625,5.7062,5.6254,5.5486,5.4744,5.4144,5.5117,5.7373,6.1434,6.3685,6.5363,6.7127,6.8352,6.9476,7.0667,7.2567,7.4212,7.48,7.4968,7.5012,7.4709,7.4152,7.2726,6.9901,6.9213,6.8343,6.6536,6.674,6.6593,6.5643,6.6144,6.6707,6.7287,6.7982,6.859,6.9094,6.8797,6.7349,6.494,6.2168,5.9132,5.5693,5.4276,5.3516,5.343,5.4285,5.5197,4.379,4.4591,4.4362,4.3877,4.2767,4.1123,3.8749,3.7287,3.6075,3.4779,3.7959,4.1115,4.1641,5.2783,6.3095,6.6881,7.4359,8.0442,8.2577,8.2425,8.1698,8.0767,8.0334,8.0586,8.1775,8.1328,8.161,8.3143,8.1004,7.999,8.0681,8.0677,8.003,7.8813,7.8457,7.788,7.7127,7.6755,7.7122,7.8151,7.6883,7.7697,8.0055,7.8803,7.8579,7.8988,7.7984,7.6576,7.4939,7.4272,7.3708,7.3206,7.3206,7.3295,7.3291,7.3663,7.3177,7.2228,7.1362,7.1027,7.0361,6.6412,6.4626,6.3546,6.1183,6.0012,5.9362,5.8104,5.8001,5.8066,5.7027,5.8737,6.1564,6.4934,6.6507,6.7946,7.077,7.1557,7.231,7.4148,7.5366,7.6234,7.664,7.6624,7.6405,7.5872,7.5462,7.4398,7.2191,7.1195,6.9926,6.8126,6.7329,6.6487,6.5358,6.524,6.5364,6.5508,6.6953,6.7967,6.8357,6.829,6.7557,6.6138,6.2883,6.0014,5.764,5.5557,5.454,5.446,5.5451,5.6408,4.7203,4.7756,4.7476,4.6532,4.5277,4.3471,4.0643,3.8432,3.6598,3.5152,3.7152,3.9848,4.1986,5.1688,6.1414,6.7969,7.5227,8.1439,8.5153,8.5003,8.4577,8.452,8.3479,8.323,8.4425,8.3876,0.0,0.0,8.3873,8.3186,8.3332,8.2502,8.1021,7.9032,7.8091,7.7433,7.7008,7.7964,7.8328,7.8015,7.913,7.9699,7.9614,8.0003,7.9651,7.8729,7.8751,0.0,7.711,7.6743,7.6408,7.6102,7.6102,7.5653,7.5013,7.5144,7.4572,7.3753,7.2999,7.2253,7.1087,6.7641,6.5545,6.4036,6.288,6.1037,5.9465,6.0502,6.1317,6.2191,6.3321,6.3419,6.4063,6.6982,7.0062,7.2269,7.2382,7.3619,7.4945,7.6103,7.6803,7.724,7.7485,7.77,7.7489,7.6587,7.5943,7.5253,7.4343,7.2744,7.0811,6.8341,6.786,6.7222,6.6125,6.5202,6.4988,6.5648,6.585,6.6626,6.7946,6.8023,6.7342,6.5532,6.3334,6.1118,5.884,5.7713,5.7443,5.8263,5.8201,5.849,5.0436,5.113,5.0875,4.9439,4.7522,4.4949,4.0828,3.7712,3.525,3.3503,3.5275,3.7619,3.9068,4.8975,5.8591,6.3683,7.0948,7.8069,8.4452,8.4237,8.4398,8.6881,8.6403,8.6205,8.6828,8.6283,8.6064,8.6429,8.5482,8.4791,8.4572,8.3338,8.2022,8.0697,7.9679,7.9151,7.9175,7.9198,7.9422,7.988,7.9962,8.0281,8.0859,8.0544,8.0261,8.0104,7.9683,7.9053,7.8319,7.7848,7.738,7.6975,7.6975,7.6668,7.6181,7.6439,7.5915,7.4984,7.4192,7.3399,7.2301,6.9713,6.7299,6.5054,6.3872,6.2133,6.0615,6.1716,6.212,6.2716,6.4887,6.623,6.758,6.9843,7.2949,7.5229,7.4748,7.5655,7.6833,7.7267,7.7628,7.7964,7.8213,7.8105,7.8008,7.7762,7.6912,7.6049,7.5328,7.4121,7.2517,7.0437,6.9209,6.8091,6.6916,6.5478,6.4893,6.5483,6.5501,6.6154,6.7572,6.7355,6.6681,6.5665,6.3902,6.2274,6.0762,5.955,5.9365,5.9918,5.9934,5.9874,5.3961,5.4451,5.4026,5.1754,4.9125,4.5736,4.0356,3.6482,3.3518,3.1624,3.3032,3.4975,3.638,4.5493,5.4395,5.9348,6.6251,7.4046,8.2951,8.3543,8.4538,8.8565,8.8707,8.8522,8.8713,8.8138,0.0,8.7478,8.6448,8.5504,8.4714,8.3646,8.275,8.2139,8.1292,8.1001,8.1479,8.063,8.0824,8.2062,8.0962,8.1194,8.2474,8.1164,8.0974,8.1599,8.0521,7.999,7.9698,7.9022,7.8555,7.8286,7.8119,7.7882,7.7503,7.7694,7.7179,7.6227,7.531,7.4496,7.3533,7.1615,6.9001,6.6221,6.485,6.3082,6.1679,6.2304,6.2195,6.2425,6.5152,6.7536,7.0105,7.3338,7.5788,7.7274,7.6918,7.7528,7.798,7.8066,7.8272,7.8441,7.8657,7.8493,7.8434,7.8681,7.7876,7.6949,7.5944,7.5191,7.4118,7.2583,7.0661,6.9068,6.8011,6.6373,6.5515,6.5918,6.594,6.6385,6.7274,6.6869,6.64,6.6155,6.461,6.3428,6.2578,6.1442,6.1068,6.141,6.1367,6.1194,5.7978,5.7534,5.6062,5.2881,4.9695,4.5701,3.9768,3.5407,3.2208,3.0883,3.0792,3.2326,3.6747,4.1256,4.7865,5.8692,6.4669,7.1602,8.2234,8.5344,8.7429,8.9927,8.9698,8.9277,8.9314,8.8822,8.8313,8.8118,8.6809,8.5374,8.3868,8.3566,8.2888,8.1932,8.1414,8.1479,8.229,8.2664,8.3046,8.3392,8.3542,8.3682,8.3742,8.2483,8.2052,8.2355,8.1308,8.1278,0.0,8.1526,8.1563,8.19,8.1121,8.0438,7.9635,7.9036,7.8345,7.7783,7.6801,7.5538,7.4245,7.2381,6.9934,6.7492,6.6344,6.3904,6.175,6.2637,6.2525,6.2731,6.6197,6.7508,6.9916,7.7545,7.8599,7.795,7.8425,7.8381,7.8357,7.849,7.8574,7.8657,7.8823,7.8998,7.8957,7.8752,7.8615,7.7937,7.6476,7.5818,7.5083,7.358,7.1739,7.0293,6.9617,6.8073,6.7301,6.7781,6.7414,6.7272,6.7478,6.761,6.7184,6.6451,6.5375,6.4648,6.431,6.364,6.3461,6.3737,6.3088,6.2954,5.9869,5.9933,5.8737,5.4909,5.0671,4.6018,4.0167,3.5423,3.1775,3.0214,3.0061,3.1302,3.4873,3.8084,4.3431,5.3301,5.6782,6.2282,7.4112,7.7217,8.0459,8.638,8.7991,8.9282,9.1006,9.0078,8.8843,8.7546,8.6608,8.5842,8.5202,8.4955,8.4397,8.3606,8.3111,8.3293,8.43,8.3256,8.3389,8.4519,8.4144,8.4093,8.4212,8.3397,8.3065,8.3144,8.2737,8.2847,0.0,8.2952,8.2888,8.2983,8.2445,8.1663,8.0707,8.0125,7.9441,7.8624,7.7148,7.5995,7.4919,7.3128,7.0946,6.845,6.6146,6.3556,6.1521,6.1686,6.1661,6.26,6.6712,7.0785,7.4897,7.9624,8.0071,7.9255,7.9181,7.8796,7.8525,7.8574,7.8574,7.8657,7.8906,7.9069,7.9125,7.9045,7.8697,7.8164,7.7256,7.6058,7.5133,7.4622,7.3067,7.1827,7.1208,6.9968,6.9233,6.9244,6.8301,6.7874,6.8281,6.7984,6.7668,6.7254,6.6912,6.6334,6.5318,6.4901,6.4458,6.3818,6.3476,6.2642,6.1534,6.1695,6.0573,5.6111,5.1398,4.6416,4.0417,3.5521,3.1726,3.0117,2.9532,3.0347,3.347,3.5742,3.993,4.8547,5.153,5.7006,6.9072,7.2951,7.7228,8.437,8.6843,8.8825,9.0852,9.0545,8.9636,8.7922,8.7072,8.6646,8.6466,8.6082,8.5603,8.4952,8.4599,8.4775,8.5658,8.4332,8.4286,8.5576,8.4855,8.4564,8.4806,8.4269,8.3834,8.3834,8.3974,8.4182,0.0,8.4522,8.4558,8.4721,8.3943,8.3023,8.2205,8.1279,8.0431,7.9518,7.8031,7.681,7.5644,7.3944,7.1735,6.918,6.6291,6.3702,6.1612,6.1182,6.2441,6.4895,6.8661,7.437,7.9672,8.2266,8.1722,8.0526,8.0001,7.9227,7.8657,7.8574,7.8574,7.8657,7.8906,7.9069,7.915,7.9231,7.8771,7.8231,7.7579,7.6269,7.5213,7.4843,7.4015,7.3171,7.2492,7.143,7.0792,7.0826,6.9551,6.9115,6.9531,6.8998,6.8482,6.8181,6.7875,6.7295,6.6183,6.5592,6.4751,6.3696,6.3446,6.2083,6.3292,6.2797,6.1052,5.6143,5.1627,4.6797,4.0275,3.5486,3.2006,3.0575,2.9022,2.9164,3.3271,3.441,3.7385,4.556,5.1223,5.8639,6.9921,7.5844,8.0752,8.5366,8.6931,8.7818,8.8072,8.9978,9.09,9.015,8.865,8.7585,8.7082,8.6602,8.6021,8.5526,8.5491,8.5566,8.5898,8.6183,8.6377,8.6657,8.5929,8.5634,8.5822,8.5067,8.4522,8.4353,8.4794,8.5343,0.0,8.637,8.6983,8.7496,8.6027,8.51,8.4297,8.2634,8.1308,8.0354,7.9787,7.8395,7.6622,7.4678,7.2299,6.9782,6.7379,6.4736,6.2433,6.1424,6.5473,7.0522,7.2678,7.7727,8.3085,8.6133,8.4176,8.1515,8.0961,7.9831,7.8823,7.8657,7.8574,7.8657,7.8906,7.887,7.8987,7.915,7.8823,7.821,7.7272,7.6487,7.5475,7.4003,7.4356,7.4371,7.3578,7.2308,7.1814,7.2737,7.1657,7.1213,7.1309,7.0769,6.9913,6.8944,6.7939,6.733,6.6921,6.5624,6.4681,6.4003,6.3091,6.143,5.7629,5.7783,5.6455,5.0516,4.6733,4.2962,3.7715,3.4091,3.1373,2.9744,2.9039,2.9391,3.1562,3.3209,3.8152,5.0149,5.3917,5.9386,7.0977,7.6982,8.1147,8.3891,8.8966,9.1894,9.0963,9.1093,9.0974,9.016,8.9283,8.8809,8.8613,8.8502,8.7623,8.6091,8.6021,8.6406,8.7021,8.6734,8.6922,8.7454,8.7329,8.7298,8.7401,8.6744,8.6431,8.636,8.6491,8.6758,8.6982,8.7249,8.7483,8.7448,8.6423,8.54,8.4505,8.3206,8.1956,8.067,8.0108,7.8491,7.666,7.5812,7.3731,7.0995,6.9092,6.5675,6.2588,6.3188,6.5883,6.9305,7.2714,7.7824,8.2496,8.4754,8.4223,8.2779,8.1515,8.0204,7.8897,7.7811,7.7887,7.7977,7.7572,7.7972,7.8371,7.8322,7.8322,7.8132,7.7494,7.6484,7.5708,7.5433,7.4888,7.427,7.3703,7.3838,7.3737,7.3512,7.3916,7.3528,7.2083,7.1937,7.1097,6.9632,6.904,6.8012,6.6302,6.6034,6.4665,6.2438,6.0924,5.9398,5.2847,5.3577,5.2379,4.7364,4.3838,4.0372,3.6432,3.3288,3.0866,2.961,2.9001,2.9175,3.0626,3.2552,3.7244,4.774,5.2277,5.8364,6.9594,7.62,8.1413,8.5363,9.0205,9.2659,9.1712,9.1789,9.155,9.0583,8.9936,8.9596,8.9495,8.9218,8.852,8.7353,8.7414,8.7562,8.7952,8.7657,8.77,8.7913,8.7985,8.8017,8.7841,8.7579,8.7328,8.7016,8.7448,8.7733,0.0,8.7998,8.8235,8.8442,8.7177,8.6163,8.5384,8.4319,8.2797,8.1282,8.0861,7.9179,7.714,7.6504,7.414,7.1175,6.9284,6.6304,6.3781,6.5155,6.7684,7.0767,7.4287,7.8946,8.2826,8.314,8.301,8.2453,8.1056,7.9873,7.8777,7.7542,7.7545,7.758,7.7007,7.7494,7.7858,7.7632,7.7685,7.7701,7.7512,7.6314,7.5688,7.6129,7.5372,7.4764,7.4554,7.4596,7.4551,7.449,7.4441,7.4446,7.4147,7.3045,7.1843,7.0611,6.9567,6.8051,6.6342,6.5374,6.3659,6.1324,5.9834,5.8564,0.0,4.9481,4.8317,4.5364,4.1876,3.8472,3.5642,3.2606,0.0,2.9797,2.8809,2.8713,3.08,3.2371,3.5347,4.1273,4.8224,5.6558,6.6947,7.4786,8.2231,8.9517,9.0945,9.1194,9.1056,9.2131,9.2478,9.1507,9.0745,9.0261,8.995,8.9295,8.9018,8.9223,8.9391,8.9186,8.8605,8.8844,8.8742,8.8225,8.8154,8.7978,8.7477,8.7829,8.7396,0.0,8.7773,8.8343,8.8506,8.8606,8.9239,8.9872,8.8149,8.7284,8.6763,8.5734,8.3941,8.2057,8.2023,8.0371,7.7983,7.6441,7.3783,7.0704,6.8513,6.6727,6.5831,6.7376,7.0546,7.4038,7.68,8.0609,8.3343,8.1497,8.0962,8.0753,7.9958,7.9122,7.8357,7.7562,7.7386,7.7333,7.712,7.7244,7.7367,7.7189,7.7099,7.7068,7.7135,7.6087,7.5538,7.6092,7.5911,7.5709,7.5917,7.4808,7.4522,7.5507,7.3886,7.4084,7.6712,7.4053,7.2235,7.1521,6.9233,6.7586,6.6642,6.3933,6.1933,6.0609,5.9758,5.8674,3.5241,0.0,3.8898,3.4695,3.309,3.2132,0.0,2.9406,2.8802,2.8657,2.8121,2.916,3.3922,3.3427,3.6999,5.1214,5.528,6.0604,7.1934,8.1018,8.8392,9.3491,9.437,9.421,9.3277,9.3241,9.3276,9.2997,9.2612,9.2295,9.2007,9.1835,9.1623,9.1515,9.148,9.0704,8.8911,8.9157,8.9154,8.9049,8.917,8.9117,8.9007,8.8588,8.8363,8.8149,8.8513,8.8228,8.7644,8.8979,8.8879,8.7895,8.806,8.772,8.7217,8.5792,8.4386,8.3047,8.2506,8.0479,7.7709,7.5168,7.3898,7.2745,7.0473,6.8829,6.794,6.8932,7.0923,7.3364,7.632,7.8752,8.0546,8.1367,8.0739,7.9998,8.0072,7.9232,7.8009,7.6444,7.645,7.6565,7.5857,7.6268,7.6771,7.6679,7.6461,7.6309,7.6042,7.5735,7.5371,7.5087,7.5854,7.6442,7.654,7.6232,7.6006,7.5813,7.4901,7.4733,7.5359,7.5655,7.4288,7.0945,6.7866,6.6012,6.5464,6.2829,6.1184,6.0527,5.9061,5.7894,2.8428,3.1447,3.3974,3.1191,3.0024,2.9379,2.8907,2.7815,2.7046,2.7482,2.7535,2.881,3.3143,3.4196,3.8508,5.1023,5.6931,6.5094,7.9464,8.7356,9.2886,9.6086,9.6382,9.5779,9.4261,9.4014,9.3629,9.2941,9.2763,9.2688,9.2467,9.2467,9.2356,9.2245,9.2245,9.1508,8.9947,9.0349,9.0167,8.9375,8.9798,8.995,8.9579,8.864,8.8328,8.843,8.7666,8.7304,8.715,8.8062,8.8019,8.7447,8.7839,8.7479,8.6713,8.5907,8.4682,8.3211,8.2574,8.0547,7.7663,7.4864,7.3969,7.3595,7.1512,7.0444,7.0106,7.0705,7.2024,7.3867,7.6367,7.8176,7.9505,7.9972,7.9788,7.946,7.8935,7.8266,7.7478,7.6108,7.6002,7.5986,7.5357,7.5628,7.5899,7.5838,7.5709,7.5523,7.5469,7.5271,7.518,7.5635,7.615,7.6571,7.6908,7.7008,7.6879,7.6355,7.5988,7.5763,7.5796,7.5298,7.321,6.9422,6.7536,6.5972,6.4634,6.2362,6.0876,6.0226,5.8896,5.7797,2.5924,2.8752,3.1577,3.0012,2.8775,2.8052,2.8174,2.6751,2.567,2.6712,0.0,2.93,3.3135,3.6618,4.1504,4.9415,5.881,7.0709,8.6865,9.2493,9.5572,9.7627,9.759,9.6714,9.4978,9.4841,9.4295,9.2918,9.2713,9.2645,9.2532,9.2532,9.2464,9.2249,9.2351,9.2157,9.1407,9.1816,9.1373,8.9891,9.0323,9.0222,8.9581,8.8146,8.7673,8.7876,8.6405,8.613,8.6585,8.6781,8.7091,8.7389,8.7511,8.6839,8.6005,8.5805,8.4622,8.2932,8.2033,8.0173,7.7748,7.4888,7.3889,7.3502,7.1728,7.1287,7.143,7.1883,7.3137,7.4733,7.6327,7.8012,7.9091,7.8431,7.871,7.8781,7.7554,7.7168,7.6828,7.6088,7.5805,7.558,7.519,7.5161,7.5194,7.4932,7.477,7.4839,7.5068,7.4714,7.4995,7.6362,7.6442,7.6747,7.7455,7.7487,7.7358,7.6933,7.6815,7.66,7.6437,7.3565,7.0799,6.8032,6.7519,6.6222,6.406,6.2104,6.0609,5.9598,5.8527,5.7368,2.8153,3.0265,3.0096,2.4065,2.4073,2.5172,2.3793,2.4213,2.5608,2.7779,3.0368,3.4807,4.3382,4.5889,5.0434,6.1708,7.093,7.9957,8.9353,9.2962,9.5603,9.8085,9.8376,9.7815,9.655,9.6413,9.6194,9.5569,9.4957,9.4466,9.3874,9.3874,9.3485,9.2607,9.3091,9.3178,9.2828,9.1913,9.1432,9.1421,9.0115,8.9416,8.9232,8.764,8.6744,8.6544,8.6074,8.5534,8.518,8.6372,8.6403,8.568,8.6053,8.6075,8.5915,8.5031,8.4042,8.2662,7.9935,7.8394,7.7255,7.4992,7.3352,7.2069,7.0778,7.0331,7.0432,7.0805,7.235,7.424,7.5275,7.6582,7.7733,7.8162,7.8098,7.7802,7.7594,7.7032,7.6368,7.5614,7.5422,7.5123,7.4262,7.4664,7.4865,7.4165,7.414,7.4239,7.4237,7.4668,7.5169,7.5779,7.6604,7.7455,7.8195,7.7945,7.7674,7.7441,7.6768,7.5775,7.4695,7.1755,6.9942,6.9483,6.6742,6.4801,6.3581,6.1343,5.9314,5.7683,5.6146,5.4691,2.6095,2.8123,2.8988,2.5382,2.7349,2.9738,2.8208,2.8114,2.9349,3.3061,3.537,3.9624,4.9088,5.345,6.032,7.483,8.1892,8.7644,9.3655,9.618,9.7876,9.93,9.9254,9.8575,9.7211,9.6737,9.621,9.5562,9.5069,9.4745,9.4221,9.4097,9.3964,9.3506,9.384,9.3797,9.346,9.2635,9.2136,9.1947,9.0875,9.0033,8.9241,8.7511,8.6568,8.6195,8.4604,8.3737,8.3514,8.412,8.3898,8.3384,8.4523,8.4739,8.4357,8.341,8.2348,8.1155,7.8899,7.7682,7.6748,7.3864,7.2444,7.1518,6.9891,6.9199,6.9132,7.0122,7.1598,7.3071,7.4058,7.4957,7.5763,7.6734,7.6844,7.6844,7.7079,7.6827,7.6309,7.5805,7.5118,7.4363,7.3964,7.3538,7.3077,7.2745,7.2911,7.3138,7.3138,7.4261,7.5266,7.5617,7.6604,7.7455,7.8042,7.7625,7.6906,7.5792,7.6082,7.5236,7.2704,7.0814,6.9268,6.8187,6.6171,6.4276,6.2491,6.0044,5.8247,5.7244,5.5345,5.3957,2.555,2.7427,2.9066,2.9082,3.1192,3.3373,3.3271,3.2871,0.0,0.0,0.0,4.5873,5.4515,6.2396,7.1909,8.5615,9.0568,9.4011,9.7677,9.9309,10.008,10.0405,9.9955,9.9085,9.7808,9.6976,9.6054,9.5109,9.4782,9.4523,9.4109,9.4109,9.4042,9.3876,9.417,9.413,9.3815,9.3524,9.2848,9.2017,9.1302,9.035,8.9009,8.726,8.6112,8.5535,8.2964,8.1904,8.1904,8.1715,8.1341,8.1284,8.255,8.2571,8.1935,8.1083,8.0308,7.9559,7.7809,7.6656,7.5592,7.257,7.125,7.0493,6.856,6.7814,6.7796,6.9124,7.027,7.1446,7.2894,7.3753,7.4343,7.5104,7.5633,7.5893,7.6265,7.6131,7.5856,7.5612,7.4478,7.3562,7.3202,7.2348,7.1523,7.1359,7.1915,7.2372,7.2474,7.3828,7.5039,7.5774,7.654,7.7187,7.7641,7.716,7.6055,7.427,7.4872,7.4228,7.1959,7.0063,6.8235,6.6502,6.5535,6.3524,6.0295,5.8687,5.7246,5.6154,5.4453,5.3408,3.0318,3.1339,3.1428,3.3576,3.2027,3.0979,3.473,3.5855,0.0,4.426,0.0,0.0,0.0,7.485,8.6075,9.1271,9.5332,9.8595,10.0227,10.0928,10.125,10.1284,10.0387,9.9323,9.8616,9.7335,9.6388,9.5966,9.4913,9.4255,9.3893,9.386,9.3565,9.2876,9.3795,9.4386,9.4287,9.3852,9.3173,9.2114,9.0427,8.9076,8.7978,8.6243,8.4663,8.3403,8.1823,8.1244,8.1049,8.016,7.9739,7.9697,7.9511,7.9451,7.9276,7.794,7.7981,7.8476,7.5956,7.4619,7.3551,7.1076,6.9305,6.7911,6.6443,6.6112,6.6443,6.7268,6.8027,6.9207,7.2061,7.3291,7.4003,7.4274,7.4665,7.4929,7.4822,7.4556,7.4287,7.3772,7.3238,7.24,7.1253,7.1391,7.1359,7.0667,7.1587,7.2474,7.3011,7.3684,7.4701,7.6289,7.6332,7.6474,7.7371,7.6568,7.5505,7.4224,7.2864,7.2519,7.3308,6.9276,6.651,6.5486,6.4564,6.1569,5.6636,5.7402,5.631,5.3365,5.2581,5.2088,2.7951,2.9828,3.1622,3.3756,3.5356,0.0,0.0,4.2397,4.6166,5.4483,5.8723,0.0,0.0,8.2737,9.0422,9.5434,9.8079,10.0182,10.1927,10.2149,10.1933,10.1737,10.0529,9.9335,9.8418,9.6625,9.5143,9.4352,9.3531,9.274,9.2236,9.2625,9.2722,9.2463,9.3449,9.3747,9.3258,9.3366,9.2744,9.1501,9.0783,8.9447,8.7501,8.6043,8.4385,8.2748,8.0688,7.9687,7.9398,7.7754,7.6869,7.6739,7.6535,7.631,7.6246,7.6073,7.6154,7.6071,7.4343,7.3495,7.2804,6.9714,6.8266,6.7401,6.5654,6.5379,6.5914,6.695,6.7768,6.8781,7.0831,7.1782,7.2462,7.3474,7.4015,7.4498,7.5102,7.4912,7.4425,7.3591,7.2576,7.1396,7.023,6.9495,6.9049,6.8893,6.978,7.0765,7.1585,7.2756,7.3926,7.4799,7.5396,7.5709,7.5779,7.5336,7.4636,7.3547,7.2049,7.0943,7.0377,6.64,6.3899,6.3219,6.085,5.8499,5.6304,5.457,5.3431,5.2846,5.1539,5.0927,2.5977,2.815,3.1009,3.3119,0.0,0.0,4.6584,4.94,5.3712,6.2972,6.7688,7.3106,8.2243,0.0,0.0,9.776,9.991,10.1572,10.2556,10.2468,10.2045,10.1618,10.0413,9.9183,9.8155,9.6168,9.4551,9.3188,9.2533,9.1906,9.1032,9.145,9.1707,9.1707,9.2466,9.2636,9.1982,9.2392,9.19,9.0646,9.0402,8.9274,8.7367,8.5722,8.3965,8.2047,7.9768,7.8261,7.744,7.5723,7.4676,7.4091,7.3611,7.3659,7.3965,7.3806,7.3857,7.3933,7.2527,7.2012,7.1446,6.829,6.7073,6.6522,6.4714,6.4581,6.5404,6.7086,6.8097,6.9046,7.0764,7.131,7.1614,7.2775,7.3514,7.4004,7.4399,7.4183,7.3602,7.2588,7.1348,7.0153,6.8965,6.8086,6.7433,6.7287,6.8433,6.9452,7.0169,7.1667,7.2867,7.3371,7.4072,7.4392,7.4192,7.3674,7.3105,7.2311,7.0842,6.9319,6.7959,6.4827,6.2288,6.0752,5.7905,5.6167,5.5717,5.2911,5.1778,5.2021,5.0835,5.0161,2.5554,2.708,2.9578,3.2364,0.0,0.0,5.3619,5.6387,5.9428,6.8422,7.6586,8.3388,8.7271,9.1643,0.0,9.8153,10.1009,10.2819,10.2367,10.2142,10.1618,10.0952,9.9916,9.8782,9.7649,9.6245,9.4685,9.2878,9.2442,9.1707,9.0618,9.0586,9.0586,9.0554,9.1,9.1,9.0554,9.1,9.0646,8.9499,8.8778,8.8012,8.7317,8.524,8.3038,8.0986,7.8949,7.7062,7.5324,7.4226,7.3285,7.2241,7.07,7.1155,7.2515,7.0951,7.121,7.2072,7.0654,6.9966,6.9194,6.6948,6.5823,6.5043,6.361,6.3735,6.485,6.7356,6.863,6.9871,7.2133,7.2177,7.1688,7.2245,7.2804,7.309,7.2359,7.1989,7.1503,7.0532,6.9476,6.8371,6.7301,6.7173,6.6884,6.5881,6.7585,6.8961,6.8994,7.0387,7.1561,7.2025,7.2337,7.2469,7.2676,7.1555,7.0814,7.0549,6.8927,6.7621,6.6908,6.5016,6.2178,5.8303,5.6398,5.5065,5.4111,5.2826,5.1664,5.0697,5.0174,4.9616,2.3655,2.6003,2.9988,3.3482,0.0,0.0,0.0,6.0865,0.0,0.0,8.2829,8.7209,9.0341,9.3698,0.0,9.9037,10.0832,10.1651,10.132,10.1655,10.1451,10.0204,9.9835,9.8993,9.7749,9.5839,9.4255,9.3282,9.2176,9.0862,8.9607,8.9883,8.9553,8.846,8.9182,8.9182,8.829,8.8704,8.8609,8.7973,8.7328,8.659,8.5895,8.4525,8.2621,8.054,7.8504,7.6614,7.4763,7.1629,6.9913,6.9239,6.8421,6.8532,6.923,6.9438,6.9938,7.0393,7.0427,7.0272,6.9582,6.7208,6.598,6.526,6.4002,6.4145,6.5213,6.7354,6.9177,7.0901,7.2576,7.3044,7.3172,7.3258,7.3053,7.2783,7.2774,7.1971,7.0774,6.9332,6.8289,6.7083,6.5176,6.506,6.5033,6.4779,6.573,6.668,6.7438,6.8659,6.9454,6.9396,6.9446,6.9399,6.9274,6.8405,6.7772,6.782,6.6334,6.5492,6.5643,6.3752,6.1601,5.9249,5.7137,5.5524,5.4515,5.27,5.1294,5.0174,4.96,4.8986,2.5131,2.8144,3.2414,3.7323,4.5497,5.5002,6.5361,0.0,0.0,0.0,8.8035,9.1234,9.3861,9.6265,0.0,9.988,10.1187,10.1719,10.0876,10.1335,10.1215,10.0116,9.9766,9.9089,9.7541,9.6278,9.4908,9.3218,9.2595,9.1426,8.9595,8.9777,8.9362,8.7685,8.7781,8.7526,8.6555,8.6284,8.6029,8.573,8.448,8.3493,8.2861,8.317,8.1926,7.9575,7.6452,7.4169,7.2444,6.9428,6.7846,6.7388,6.7157,6.7449,6.8196,6.8611,6.9282,6.9989,7.0132,6.9832,6.9196,6.7295,6.6028,6.5017,6.4126,6.4338,6.532,6.7141,6.891,7.0583,7.2159,7.306,7.3647,7.3941,7.3183,7.2512,7.243,7.1342,6.994,6.8146,6.7078,6.5816,6.3802,6.3663,6.3682,6.3297,6.4185,6.5058,6.5827,6.6519,6.6932,6.6854,6.6368,6.5922,6.5485,6.4803,6.4561,6.4992,6.3958,6.3396,6.3265,6.2231,6.0993,5.9566,5.7141,5.5559,5.4699,5.2854,5.1325,5.0144,4.9573,4.8875,2.8522,3.1979,3.626,4.2889,5.0263,0.0,7.4102,8.0664,8.4697,8.8326,0.0,9.5219,9.7311,9.9184,10.0452,10.0749,10.2047,10.2368,10.077,10.087,10.0928,10.0229,9.9817,9.9004,9.7146,9.7249,9.6239,9.3224,9.3572,9.2878,9.0402,9.0247,8.9274,8.7791,8.6594,8.5693,8.4763,8.3451,8.2747,8.2651,8.0649,7.9195,7.8595,8.1018,8.0569,7.7728,7.3401,7.0649,6.9119,6.764,6.6706,6.6183,6.6351,6.7245,6.8221,6.8168,6.9084,7.0313,6.9765,6.9105,6.8293,6.72,6.5822,6.4496,6.3981,6.4127,6.4721,6.636,6.7694,6.8995,7.0828,7.2015,7.2926,7.3782,7.3168,7.2267,7.1602,7.0375,6.8907,6.7187,6.6004,6.4623,6.2948,6.2643,6.2474,6.1795,6.2748,6.3703,6.3978,6.4119,6.4182,6.4439,6.3502,6.2465,6.1621,6.109,6.1198,6.2091,6.1731,6.1159,6.0214,6.0499,6.0232,5.9158,5.6649,5.5191,5.4637,5.3131,5.1634,5.038,5.0087,4.9125,2.7765,3.2734,3.9334,4.7434,5.9589,7.1646,7.9365,8.4397,8.7977,8.9636,9.3623,9.7236,9.8938,10.075,10.1964,10.1644,10.1384,10.0779,9.9661,9.9743,9.9752,9.9336,9.9666,9.9441,9.785,9.7506,9.6915,9.5316,9.4815,9.3886,9.2153,9.0716,8.8725,8.6232,8.4809,8.3163,8.0956,8.0086,7.9258,7.8474,7.7221,7.5814,7.4468,7.6995,7.6592,7.392,7.1117,6.8909,6.7324,6.5095,6.4386,6.4515,6.4554,6.5156,6.6192,6.7513,6.846,6.906,6.907,6.9033,6.8536,6.6447,6.5263,6.4358,6.3031,6.2194,6.1985,6.3334,6.4114,6.5027,6.7168,6.8378,6.9235,7.0057,7.116,7.2026,7.1845,6.9958,6.7718,6.617,6.4633,6.3145,6.1432,6.1023,6.0881,6.0801,6.0913,6.1212,6.1551,6.2342,6.2375,6.1267,6.178,6.1157,5.8715,5.8717,5.8669,5.8345,5.8782,5.8871,5.8456,5.9404,5.9298,5.7947,5.5978,5.4746,5.4173,5.3248,5.2236,5.1083,5.0388,4.9455,3.1553,3.7581,4.5112,5.6768,0.0,7.6616,8.1833,8.5725,8.8839,9.1038,9.5043,9.8509,9.9241,10.0848,10.1791,10.0746,10.0587,10.0117,9.8817,9.8993,9.9209,9.8902,9.9383,9.9069,9.7674,9.7988,9.7639,9.6019,9.5852,9.498,9.3191,9.1588,8.9277,8.625,8.4117,8.1682,7.9069,7.7642,7.6185,7.4783,7.3067,7.1027,6.8956,7.1964,7.2306,7.0583,6.881,6.7268,6.5709,6.4308,6.364,6.3406,6.3443,6.4316,6.5509,6.6622,6.7822,6.8787,6.8449,6.8135,6.7617,6.5546,6.4143,6.2959,6.1438,6.0447,5.9901,6.0412,6.0756,6.141,6.2999,6.4066,6.4905,6.5478,6.7945,7.0061,6.9777,6.8224,6.6436,6.4957,6.3564,6.2226,6.0627,5.9878,5.9286,5.8807,5.9185,5.9274,5.8753,5.9273,5.9173,5.7797,5.8179,5.7839,5.5892,5.6115,5.6213,5.6034,5.6369,5.6543,5.6459,5.7001,5.729,5.7083,5.5335,5.426,5.3819,5.2965,5.1919,5.0925,5.0328,4.9433,3.4628,4.261,5.1944,6.6195,7.3621,0.0,8.2942,8.5997,8.8746,9.1664,9.5565,9.849,9.8785,10.0164,10.0766,9.9208,9.932,9.9185,9.7892,9.8054,9.8379,9.8632,9.882,9.8535,9.7467,9.8298,9.8071,9.5998,9.643,9.5722,9.3573,9.1748,8.9315,8.6125,8.3261,8.0339,7.7618,7.5321,7.3208,7.1113,6.8444,6.5813,6.3546,6.6323,6.761,6.7433,6.6375,6.514,6.4158,6.3434,6.2901,6.2487,6.2556,6.3645,6.5127,6.5648,6.7024,6.8571,6.7616,6.7026,6.6276,6.4383,6.2676,6.1126,5.9505,5.85,5.7744,5.7364,5.7417,5.7815,5.8525,5.9424,6.0148,6.0364,6.3218,6.5945,6.619,6.544,6.4408,6.329,6.2211,6.1008,5.9642,5.8559,5.766,5.6627,5.7169,5.7291,5.6239,5.6392,5.6051,5.4488,5.4315,5.4091,5.3317,5.3688,5.399,5.4153,5.4283,5.4358,5.423,5.4313,5.4772,5.5661,5.4591,5.3913,5.3742,5.2586,5.167,5.097,5.0465,4.9594,2.9625,4.3067,5.8228,6.964,7.5571,7.9795,0.0,0.0,8.8348,0.0,9.3673,9.6438,9.74,9.8586,9.9175,9.8256,9.7591,9.7135,9.6887,9.6274,9.64,9.7587,9.8094,9.8159,9.7685,9.8426,9.8171,9.6354,9.585,9.4887,9.2944,8.9891,8.6933,8.406,8.0599,7.7537,7.4797,7.208,6.9642,6.7479,6.3526,6.1308,6.0757,6.0827,6.2001,6.4209,6.2945,6.2259,6.1917,6.0641,6.0295,6.0688,6.1466,6.2437,6.3549,6.4913,6.6101,6.6931,6.6328,6.5825,6.5044,6.2794,6.0967,5.9337,5.7398,5.5884,5.4773,5.4398,5.3975,5.3728,5.3935,5.4603,5.5134,5.4752,5.573,5.7618,6.1006,6.1208,6.0556,6.0125,5.9458,5.8549,5.7144,5.6361,5.5691,5.5129,5.4736,5.4629,5.4954,5.5412,5.4814,5.2486,5.2268,5.1953,5.1308,5.2353,5.267,5.1812,5.2504,5.2702,5.2104,5.227,5.2448,5.2606,5.3216,5.3553,5.372,5.3053,5.2685,5.2589,5.1579,5.0838,3.8656,5.1014,6.2427,7.1764,7.6462,7.9628,8.261,8.4575,8.6488,8.8894,9.0488,9.2181,9.4561,9.5685,9.6089,9.5241,9.4814,9.4511,9.439,9.4463,9.4867,9.5458,9.6491,9.6996,9.6549,9.7763,9.81,9.663,9.5755,9.4577,9.2619,8.9323,8.6029,8.282,7.9567,7.6374,7.3171,7.0466,6.7128,6.3309,6.0908,5.9456,5.8902,5.9066,6.0138,6.1734,6.1055,6.0868,6.1148,6.0016,6.0017,6.0769,6.1006,6.1988,6.3287,6.4136,6.4782,6.5201,6.4728,6.3788,6.2623,6.0803,5.8892,5.7005,5.5337,5.3875,5.2589,5.1644,5.1222,5.1022,5.0593,5.0713,5.0721,4.9786,4.9977,5.0449,5.0697,5.3802,5.6501,5.6325,5.6253,5.5756,5.4638,5.4352,5.3934,5.2742,5.2936,5.3184,5.3069,5.3517,5.3479,5.2607,5.2223,5.1877,5.1518,5.1845,5.1884,5.1379,5.106,5.0759,5.0337,5.0185,5.0059,5.0088,5.1726,5.2701,5.286,5.2584,5.2378,5.227,5.154,5.1133,4.3588,5.3674,6.1203,7.0535,7.5422,7.8478,8.1357,8.304,8.4518,8.691,8.7336,8.8128,9.0882,9.2488,9.3266,9.2921,9.2707,9.2404,9.2283,9.2692,9.3091,9.3276,9.496,9.5806,9.5502,9.7076,9.7606,9.6498,9.5501,9.3863,9.1646,8.8496,8.5126,8.1782,7.8447,7.5204,7.1882,6.8269,6.4307,6.0272,5.9269,5.8592,5.8208,5.8976,5.9725,6.0548,5.996,6.0022,6.0581,5.9757,5.9987,6.0789,6.0831,6.1583,6.2745,6.3056,6.3232,6.3283,6.2706,6.1663,6.0348,5.8686,5.6778,5.4867,5.3442,5.2044,5.0763,4.9721,4.9324,4.9088,4.8183,4.789,4.7486,4.5965,4.5495,4.501,4.3643,4.7618,5.1569,5.1789,5.2395,5.2596,5.179,5.1757,5.1436,5.0309,5.0901,5.144,5.1159,5.199,5.2498,5.2604,5.2361,5.209,5.198,5.148,5.1049,5.0681,4.9875,4.9131,4.848,4.8285,4.8097,4.7965,4.9745,5.0984,5.1729,5.1605,5.1602,5.1711,5.1284,5.1099,3.5709,4.3976,5.185,6.4234,7.1329,7.6359,8.0286,8.1961,8.2978,8.4757,8.5181,8.5574,8.6756,8.9381,9.1687,9.2494,9.1793,9.133,9.133,9.0925,9.1074,9.1717,9.3372,9.4739,9.516,9.6452,9.6896,9.5608,9.4516,9.2617,8.9592,8.6595,8.3504,8.0432,7.651,7.3261,7.0633,6.4478,6.0693,5.9222,5.8531,5.8573,5.9305,5.9975,6.0661,6.1223,5.9756,5.9522,6.0005,5.9136,5.9184,5.9884,6.0782,6.1055,6.0972,6.1605,6.1597,6.1048,6.0364,5.976,5.8915,5.6551,5.4802,5.3324,5.1792,5.0316,4.9209,4.9196,4.8664,4.7892,4.6991,4.6686,4.6046,4.3966,4.2527,4.2165,4.4334,4.4854,4.5219,4.6291,4.7773,4.8711,4.835,4.8009,4.7882,4.8273,4.8373,4.8644,4.9482,5.104,5.1883,5.1398,5.1917,5.2003,5.146,5.0741,4.9966,4.8943,4.8786,4.809,4.6556,4.6823,4.6702,4.622,4.6805,4.8226,5.0384,5.0446,5.0694,5.1121,5.1189,5.0992,3.1422,3.96,4.7707,5.7768,6.4699,7.0039,7.3991,7.7473,8.0135,8.1446,8.2283,8.3092,8.435,8.6717,8.8463,8.8709,8.8438,8.8135,8.786,8.8437,8.9077,8.9602,9.1701,9.326,9.3643,9.5525,9.6144,9.5156,9.3887,9.1778,8.8575,8.5635,8.2373,7.8408,7.5272,7.117,6.6126,6.3224,6.0864,5.8906,5.9355,5.9512,5.961,6.0237,6.0978,6.1612,6.0282,5.9718,5.9736,5.9324,5.9284,5.9509,6.0124,6.0456,6.0677,6.1144,6.0522,5.951,5.9297,5.7744,5.5735,5.4945,5.3316,5.1593,5.1197,5.0024,4.8753,4.8312,4.7537,4.6679,4.5769,4.5299,4.4308,4.1206,3.8194,3.6043,3.6302,3.7677,3.9181,4.0397,4.2128,4.3579,4.3985,4.4648,4.5091,4.5316,4.5675,4.6417,4.7598,4.873,4.988,5.0548,5.0762,5.0837,5.1062,4.9885,4.9141,4.8793,4.7683,4.681,4.6237,4.5152,4.4664,4.4787,4.5031,4.6377,4.8756,4.9224,4.9666,5.01,4.9487,4.9338,2.5469,3.3225,4.2027,5.235,5.7548,6.2279,7.061,7.3524,7.5353,7.8211,7.9513,8.0698,8.2304,8.3842,8.5056,8.5812,8.5937,8.5789,8.5486,8.6426,8.7277,8.7584,8.9755,9.1376,9.175,9.3629,9.4365,9.3588,9.2509,9.0553,8.7281,8.4774,8.0997,7.5708,7.2742,6.8865,6.3865,6.2172,6.07,5.9282,6.0125,6.0385,6.0289,6.0988,6.153,6.186,6.0632,6.0088,5.9976,5.9331,5.9096,5.9227,5.9237,5.9307,5.9439,5.9708,5.8757,5.7353,5.7255,5.5544,5.3386,5.2863,5.1663,5.0413,5.031,4.9408,4.8201,4.7439,4.6632,4.571,4.4697,4.3594,4.2009,3.8834,3.5249,3.2144,3.0625,3.2027,3.3939,3.5236,3.6904,3.8478,3.9679,4.0852,4.1807,4.2294,4.3083,4.4236,4.5573,4.6891,4.8247,4.9771,4.9914,5.0113,5.0878,4.9281,4.8291,4.8415,4.6821,4.5598,4.5243,4.3928,4.3275,4.3314,4.35,4.4529,4.6477,4.7665,4.8252,4.8425,4.7444,4.7087,0.0,0.0,0.0,4.7596,4.9882,5.3407,6.9926,7.0094,6.8544,7.5451,7.7093,7.8094,8.0227,8.0968,8.2007,8.4014,8.4393,8.4276,8.4276,8.4848,8.5393,8.5668,8.7486,8.8838,8.9256,9.0814,9.1636,9.0819,9.0538,8.8949,8.5631,8.3696,7.9415,7.2519,6.8977,6.6292,6.4295,6.1069,5.9924,6.0489,6.0687,6.1046,6.1397,6.2132,6.2266,6.1923,6.0783,6.0401,6.0508,5.8978,5.8604,5.8906,5.8133,5.7486,5.7026,5.7237,5.6199,5.4556,5.3941,5.3125,5.201,5.0268,4.9861,4.9819,4.9076,4.8255,4.7429,4.668,4.5829,4.4984,4.3738,4.1579,3.9135,3.6916,3.3911,3.0836,2.8278,2.8474,2.9564,3.0896,3.2133,3.3521,3.5321,3.6614,3.7818,3.9297,4.0695,4.2176,4.3487,4.5577,4.7392,4.8799,4.9276,4.9859,5.0655,4.8653,4.7343,4.7541,4.6168,4.476,4.3303,4.3157,4.2763,4.1837,4.22,4.2805,4.3595,4.5715,4.6486,4.5986,4.5145,4.4204,1.4695,0.0,0.0,0.0,0.0,0.0,0.0,5.6344,6.0916,6.8969,7.0788,7.2267,7.6664,7.7635,7.8041,7.8859,8.084,8.2078,8.1452,8.217,8.2891,8.2861,8.5174,8.6938,8.7043,8.938,9.018,8.8734,8.8806,8.7414,8.3816,7.9007,7.4325,6.9815,6.7268,6.485,6.2519,6.1447,6.0812,6.0748,6.1357,6.1437,6.1136,6.1419,6.139,6.1016,5.9621,5.9163,5.9212,5.7791,5.6929,5.6407,5.5622,5.5175,5.4951,5.5099,5.4354,5.3125,5.2418,5.1119,4.9602,4.8347,4.7573,4.7021,4.68,4.6101,4.5329,4.5142,4.4375,4.3214,4.1594,3.9488,3.7162,3.4578,3.1987,2.9407,2.6935,2.6069,2.612,2.7238,2.8626,3.0143,3.1738,3.3528,3.5253,3.6826,3.8153,3.9831,4.1966,4.3736,4.5159,4.6447,4.7238,4.7787,4.7947,4.681,4.5924,4.5715,4.4562,4.3595,4.2849,4.2157,4.1832,4.1837,4.2069,4.2492,4.3084,4.4465,4.4924,4.4414,4.1459,3.8802,0.0,0.0,0.0,0.0,0.0,0.0,4.6196,5.0585,5.5178,6.5553,6.8112,6.9719,7.3908,7.478,7.5009,7.5387,7.7104,7.8473,7.8892,7.9932,8.0497,8.0765,8.2313,8.3624,8.4025,8.546,8.6144,8.5248,8.5569,8.4373,8.0817,7.5742,7.149,6.8519,6.6009,6.3743,6.1631,6.1542,6.1147,6.0668,6.1651,6.1759,6.1149,6.1189,6.1045,6.0602,5.8911,5.8251,5.8273,5.6092,5.5261,5.5215,5.3634,5.2975,5.2811,5.2542,5.1743,5.0729,5.021,4.9033,4.757,4.6838,4.6213,4.5698,4.5585,4.518,4.4634,4.3905,4.2513,4.0891,3.9336,3.7408,3.5291,3.3,3.066,2.8374,2.6352,2.5146,2.468,2.5363,2.6526,2.7755,2.8982,3.0749,3.2498,3.4171,3.5733,3.7565,3.9937,4.158,4.3105,4.4557,4.5276,4.57,4.6046,4.4996,4.4117,4.376,4.2664,4.1762,4.125,4.086,4.0785,4.0984,4.1578,4.2141,4.2747,4.3538,4.3369,4.2158,3.8455,3.5366,1.4361,1.5426,0.0,0.0,2.4893,0.0,4.5582,4.7958,4.9729,6.2333,6.5788,6.7272,7.0126,7.1171,7.1601,7.1656,7.2648,7.419,7.6382,7.7681,7.8301,7.839,7.9039,7.9611,8.0064,8.0425,8.0608,8.0701,8.1207,8.019,7.7267,7.3426,7.0237,6.7896,6.5077,6.2932,6.1399,6.1288,6.1101,6.07,6.1752,6.1929,6.1432,6.1337,6.1082,6.0561,5.8553,5.7711,5.7468,5.4288,5.3757,5.4688,5.2069,5.0964,5.0757,4.9895,4.8881,4.7958,4.7822,4.6983,4.5985,4.5407,4.5182,4.5028,4.4602,4.4566,4.4277,4.249,4.0347,3.8261,3.685,3.5152,3.3322,3.1558,2.9425,2.7418,2.5929,2.4992,2.447,2.4581,2.5327,2.6256,2.6895,2.835,2.9915,3.1347,3.3243,3.5355,3.7445,3.9143,4.1018,4.2857,4.3332,4.3779,4.4274,4.2996,4.204,4.1629,4.0431,3.9589,3.9235,3.9576,3.9713,3.9788,4.0836,4.1628,4.2212,4.2702,4.1749,3.9496,3.6107,3.3266,1.7849,1.7957,1.8447,1.8973,0.0,0.0,2.9715,3.4224,3.9651,4.8841,5.1756,5.4162,5.9362,6.2005,6.302,6.2082,6.5526,6.9384,7.2835,7.4576,7.5069,7.4149,7.5771,7.6444,7.549,7.6831,7.734,7.6663,7.6474,7.5618,7.3975,7.1248,6.8739,6.6534,6.3612,6.1837,6.1234,6.0495,6.0704,6.1905,6.1747,6.1859,6.226,6.204,6.1433,6.0454,5.8996,5.7658,5.6415,5.3874,5.3044,5.3082,5.0474,4.9411,4.92,4.8351,4.7731,4.7194,4.644,4.5774,4.5053,4.3458,4.2812,4.245,4.154,4.1209,4.0799,3.9287,3.7847,3.6225,3.4007,3.2541,3.0885,2.8118,2.6828,2.5819,2.4171,2.3419,2.3205,2.3769,2.4731,2.5414,2.532,2.6626,2.8004,2.8695,3.0601,3.2769,3.511,3.7237,3.9088,4.0282,4.0971,4.1301,4.1402,4.026,3.9518,3.9354,3.8809,3.8358,3.8211,3.888,3.9106,3.8852,3.9586,4.0062,4.0271,4.0945,3.9974,3.74,3.4579,3.1792,2.0343,1.9543,1.9125,1.858,0.0,0.0,0.0,3.0089,3.5237,4.4495,4.613,4.7722,5.3415,5.4737,5.5547,5.7064,6.065,6.3638,6.5083,6.9137,7.1874,7.1595,7.1931,7.1768,7.122,7.1272,7.1506,7.1842,7.19,7.1484,7.0429,6.83,6.6151,6.4347,6.2054,6.0627,6.0148,6.0374,6.0878,6.1625,6.1681,6.2314,6.3257,6.2192,6.1772,6.1736,5.929,5.7645,5.6474,5.3726,5.236,5.1764,4.9328,4.8395,4.8235,4.6847,4.6187,4.5897,4.5237,4.4766,4.4313,4.3164,4.241,4.1832,4.1143,3.9984,3.8577,3.6917,3.5505,3.3979,3.1592,2.9988,2.8342,2.6012,2.4713,2.3727,2.2643,2.2129,2.2033,2.2591,2.3247,2.3846,2.413,2.4749,2.5385,2.5769,2.7138,2.8948,3.1182,3.3598,3.5475,3.6528,3.7493,3.7915,3.7587,3.7192,3.6666,3.604,3.5797,3.5721,3.5699,3.6445,3.7186,3.7812,3.8302,3.8306,3.7854,3.801,3.7425,3.6088,3.3623,3.1002,0.0,0.0,0.0,0.0,0.0,2.1742,0.0,0.0,0.0,4.0924,4.178,4.2476,0.0,4.7713,4.8082,5.1169,5.4864,5.6693,5.5393,6.1048,6.5977,6.7508,6.7257,6.6759,6.6425,6.4828,6.4563,6.6745,6.6791,6.6748,6.6907,6.5069,6.3398,6.2053,6.041,5.937,5.8942,6.0347,6.112,6.131,6.1891,6.2938,6.4216,6.2585,6.2302,6.2973,5.9831,5.7829,5.6584,5.3591,5.1798,5.0685,4.8705,4.7914,4.763,4.5894,4.5086,4.4777,4.4393,4.4109,4.3795,4.3277,4.2333,4.1245,4.0818,3.9121,3.6933,3.5048,3.3528,3.1935,2.9551,2.7753,2.6136,2.4303,2.2892,2.1784,2.1038,2.0731,2.071,2.1186,2.1277,2.1725,2.2859,2.2822,2.2559,2.27,2.3393,2.4661,2.6758,2.9081,3.1064,3.2347,3.3553,3.4126,3.3717,3.3811,3.3479,3.2512,3.2649,3.274,3.2907,3.3833,3.4995,3.6356,3.656,3.6199,3.545,3.494,3.4691,3.4651,3.2562,3.0217,0.0,0.0,0.0,0.0,2.4671,0.0,0.0,0.0,2.8037,3.0251,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.4993,4.8311,5.2956,5.7972,6.1193,6.2179,5.9778,5.7396,5.7595,6.1361,5.9838,6.0156,6.3645,6.2015,6.0904,6.0687,5.8706,5.8011,5.8699,5.9595,6.0878,6.2511,6.2705,6.3574,6.4939,6.413,6.3294,6.2508,6.0809,5.8497,5.5669,5.3272,5.1453,5.003,4.8928,4.815,4.75,4.6341,4.5382,4.461,4.4221,4.3992,4.3693,4.2787,4.0887,3.8816,3.7963,3.6894,3.5643,3.3732,3.2278,3.0657,2.7875,2.6341,2.4862,2.2263,2.1434,2.0773,1.9107,1.8562,1.8629,1.9503,1.9076,1.9108,2.0952,2.085,2.0249,1.951,1.9813,2.0663,2.223,2.4343,2.6487,2.8338,2.9349,3.0142,3.0593,3.0125,2.9866,3.0015,3.0129,3.0499,3.1161,3.2335,3.3303,3.4139,3.3739,3.3449,3.3332,3.2524,3.2128,3.2175,3.0466,2.8693,0.0,0.0,0.0,0.0,0.0,0.0,2.1227,0.0,2.4422,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.7595,0.0,3.7456,4.1391,4.6758,5.2774,5.3156,5.289,5.2705,5.1753,5.2979,5.6916,5.5633,5.6241,5.9979,5.9021,5.8298,5.8186,5.7285,5.7167,5.798,5.9356,6.0878,6.2389,6.2687,6.3712,6.5296,6.4133,6.3464,6.2924,6.0663,5.8042,5.5243,5.2594,5.0524,4.9069,4.8419,4.8034,4.7636,4.6148,4.5282,4.4789,4.4035,4.373,4.3413,4.2124,4.0719,3.9202,3.7337,3.6176,3.4945,3.2224,3.0568,2.8869,2.572,2.427,2.3088,2.0697,1.9874,1.933,1.8267,1.7655,1.7505,1.8177,1.7529,1.7142,1.7932,1.8187,1.8093,1.7362,1.6968,1.7153,1.832,2.0036,2.1836,2.366,2.4989,2.582,2.6034,2.632,2.6303,2.5937,2.6976,2.8053,2.9091,2.9864,3.0383,3.0591,3.0216,2.9842,2.9472,2.9068,2.871,2.8499,2.9255,2.82,3.5979,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.2715,0.0,3.4545,0.0,0.0,0.0,4.5154,4.6476,4.581,4.7311,5.2365,5.0746,5.166,5.6516,5.601,5.5636,5.5655,5.5655,5.6149,5.6917,5.8805,6.0532,6.2088,6.2568,6.3643,6.5212,6.4144,6.3456,6.3004,6.0535,5.7825,5.5009,5.2416,5.0187,4.8416,4.7883,4.7667,4.7529,4.6005,4.5193,4.4761,4.3821,4.3348,4.2978,4.1678,4.054,3.9268,3.7225,3.5764,3.4213,3.1331,2.9385,2.7433,2.4423,2.2758,2.1389,1.9504,1.851,1.7844,1.736,1.6754,1.6422,1.6862,1.6094,1.5377,1.5381,1.5837,1.5879,1.5007,1.4272,1.4109,1.4681,1.6117,1.7646,1.9173,2.0799,2.1851,2.2007,2.2794,2.3076,2.2671,2.4024,2.5335,2.6621,2.7139,2.7354,2.723,2.702,2.662,2.5974,2.5921,2.5828,2.5657,2.7665,2.7583,0.0,0.0,0.0,3.0949,0.0,0.0,0.0,0.0,2.5804,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.199,3.8559,3.9404,4.7037,4.4009,4.5309,5.3528,5.3052,5.281,5.3506,5.3684,5.4376,5.5719,5.7598,5.9666,6.1883,6.2614,6.359,6.4706,6.4288,6.3415,6.2248,6.104,5.8398,5.4774,5.3171,5.0844,4.8361,4.7653,4.7216,4.6856,4.6018,4.515,4.4309,4.3506,4.288,4.2308,4.1619,3.9956,3.8103,3.7168,3.5334,3.3164,3.1412,2.9081,2.6725,2.4794,2.2225,1.9885,1.8728,1.7541,1.6485,1.5989,1.5411,1.5088,1.5487,1.4585,1.3886,1.4113,1.4114,1.3622,1.2175,1.1765,1.1541,1.1367,1.2647,1.4048,1.5231,1.6886,1.8268,1.927,1.967,2.0242,2.1031,2.148,2.2358,2.3793,2.4377,2.4633,2.4545,2.4693,2.4361,2.3504,2.3654,2.3904,2.4285,2.5296,2.6373,4.4204,4.2296,3.9791,3.4555,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.4469,3.7231,4.2911,4.1789,4.3749,5.0636,5.0949,5.1106,5.1586,5.2904,5.4128,5.5295,5.7318,5.9279,6.1146,6.2085,6.2747,6.2954,6.281,6.1838,6.0038,5.8629,5.6679,5.4126,5.1711,4.971,4.8048,4.6995,4.6446,4.6103,4.5444,4.4935,4.4462,4.3541,4.2582,4.173,4.1616,4.012,3.8099,3.6782,3.4678,3.2217,2.9603,2.7314,2.5067,2.2197,2.0615,1.9365,1.7723,1.6453,1.5625,1.5837,1.4885,1.4172,1.4829,1.3894,1.2977,1.2923,1.2359,1.1849,1.1677,1.0914,1.0402,1.0564,1.1084,1.2011,1.3433,1.4334,1.5033,1.5715,1.6158,1.6851,1.8077,1.8995,2.0195,2.1506,2.1966,2.2178,2.2285,2.1823,2.144,2.1222,2.1431,2.1837,2.2367,2.32,2.4253,4.5247,4.317,4.0646,3.6108,3.3014,3.0087,2.6173,0.0,2.9593,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.89,0.0,0.0,0.0,0.0,0.0,3.0243,3.2982,3.9563,3.8433,4.0513,4.7652,4.8683,4.9369,5.018,5.1638,5.3089,5.4535,5.6203,5.8084,6.0306,6.1081,6.1497,6.1695,6.1435,6.0317,5.8522,5.7055,5.5195,5.2909,5.089,4.9053,4.741,4.6758,4.6062,4.539,4.4784,4.43,4.394,4.376,4.2687,4.1408,4.1381,3.9965,3.8061,3.673,3.4556,3.1996,2.9379,2.6949,2.4505,2.1783,2.0003,1.864,1.7368,1.5753,1.4429,1.4367,1.382,1.3494,1.3885,1.3252,1.2449,1.2003,1.1167,1.0611,1.0748,1.0051,0.9588,0.9672,0.9981,1.0614,1.173,1.237,1.2815,1.3192,1.3563,1.4185,1.5185,1.6279,1.7495,1.8812,1.9403,1.9736,1.9815,1.9399,1.9253,1.9258,1.9749,2.0424,2.1271,2.2237,2.3125]}]]