Vorticity
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nan 4 4 4 5 5 4 4 4 3 3 2 1 0 0 1 1 2 2 2 2 2 2 2 2 3 2 1 0 0 0 1 2 4 5 6 6 7 7 7 7 6 6 6 5 5 5 5 5 4 4 4 4 4 5 5 6 7 7 6 5 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 3 2 2 2 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 9 16 20 17 9 5 4 5 5 5 5 5 5 2 2 6 8 6 6 7 6 5 5 5 4 3 4 6 6 7 8 9 7 5 5 7 6 4 3 4 7 10 9 6 3 4 7 7 4 1 1 2 3 4 4 2 2 4 7 5 1 -5 -8 -4 2 8 5 -3 -2 3 5 3 -0 -4 -4 -1 1 2 1 3 9 17 22 21 15 9 7 6 6 6 6 5 4 4 4 4 3 4 4 3 3 2 2 2 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 8 10 10 8 6 5 5 6 6 6 6 6 6 4 3 3 3 4 4 5 5 5 5 5 5 5 4 0 -4 -5 -2 1 1 1 2 4 4 4 4 4 4 4 4 4 3 3 3 4 5 6 7 7 7 6 6 5 5 5 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 6 11 17 21 21 18 12 9 8 7 6 5 3 2 2 2 1 2 4 5 6 5 6 8 9 6 3 2 1 2 2 -2 -7 -4 1 3 4 5 6 6 7 8 8 9 9 9 9 8 8 8 9 9 10 11 12 12 12 13 13 12 11 10 10 10 9 9 8 8 8 7 7 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 5 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 nan
nan 5 4 4 5 5 5 5 5 4 4 3 2 1 1 1 2 2 2 2 2 2 2 2 2 3 3 2 1 -0 -0 0 1 2 3 5 6 6 7 7 7 6 6 6 6 6 5 5 5 4 4 4 4 4 4 5 5 6 7 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 3 3 2 2 2 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 10 17 20 14 8 5 4 4 5 6 5 5 4 2 3 6 9 9 9 9 7 4 3 5 5 4 4 5 6 7 7 7 6 5 5 5 4 3 3 5 8 10 11 9 5 5 7 6 2 0 2 5 6 5 5 5 6 8 7 5 0 -5 -8 -3 6 9 3 -2 0 3 2 2 1 0 0 2 4 3 3 7 15 23 24 18 11 8 6 5 5 5 5 5 4 4 3 3 3 3 3 3 3 2 2 2 2 2 3 3 2 2 2 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 7 9 9 7 6 5 6 7 6 6 7 6 5 4 3 4 4 5 5 5 5 5 5 5 5 5 4 2 -2 -5 -4 -1 -0 -1 -0 2 4 4 4 4 4 5 4 4 3 3 2 3 4 5 6 7 7 7 6 5 5 5 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 3 4 5 10 15 19 18 13 8 6 5 6 5 4 4 4 3 2 2 3 4 6 7 8 8 8 7 6 6 5 4 5 3 -1 -2 1 3 4 5 5 6 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 11 12 12 12 12 12 12 11 10 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 5 4 4 4 5 5 5 5 4 4 3 3 2 1 2 2 2 2 2 2 2 2 2 2 3 3 2 1 0 -0 -0 0 1 2 3 5 6 7 7 7 7 7 6 6 6 6 5 5 5 5 4 4 4 4 4 5 5 6 7 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 2 2 2 2 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 10 17 20 14 9 7 6 6 5 5 4 4 5 5 5 6 6 7 9 9 7 3 2 5 6 5 4 5 6 5 4 3 3 3 4 3 3 4 6 8 9 10 11 12 11 10 10 7 2 2 6 8 7 5 4 5 7 9 8 5 0 -3 -4 -0 5 3 0 1 3 3 2 3 3 4 4 5 5 5 7 13 22 25 21 14 9 7 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 4 4 4 5 5 6 6 6 5 5 5 5 5 5 5 6 8 9 9 7 6 6 6 7 7 7 7 6 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 2 -3 -5 -1 1 -0 -1 1 4 4 5 5 5 5 5 4 4 3 2 2 3 4 5 6 7 7 7 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 1 2 3 6 10 13 11 7 4 3 4 4 4 4 5 4 3 2 3 4 5 6 7 7 5 5 6 6 5 4 5 5 4 2 2 3 4 4 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 11 12 12 11 11 10 9 8 7 7 6 6 6 6 7 7 7 7 7 7 7 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 5 5 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 2 1 0 -0 -0 0 1 2 3 5 6 7 7 7 7 7 6 6 6 6 5 5 5 5 4 4 4 4 4 5 6 6 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 3 2 2 2 2 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 9 15 18 14 10 9 9 7 5 2 2 4 7 8 6 4 3 4 6 7 5 3 3 5 6 5 3 3 3 2 0 -1 1 3 4 4 4 5 7 8 9 8 8 11 14 15 13 8 5 6 8 8 6 4 3 3 5 8 8 5 2 2 3 3 -0 -3 -1 3 4 3 4 4 4 5 6 6 5 6 11 19 25 23 16 10 7 6 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 4 4 4 4 5 5 6 6 6 6 5 5 5 4 4 4 5 8 11 11 7 6 6 6 6 7 7 6 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 0 -3 -1 3 4 2 2 4 4 5 5 5 5 5 5 4 4 3 2 2 2 4 5 6 7 7 7 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 1 -1 -2 -3 -3 -2 -0 4 7 8 6 4 3 3 4 4 5 5 5 2 1 2 4 7 8 7 5 2 3 6 7 6 5 5 5 5 4 3 3 3 4 4 5 5 6 6 7 7 7 6 6 6 6 6 7 7 7 8 8 8 9 9 10 11 11 11 11 11 11 10 9 9 8 8 8 8 8 9 8 8 8 8 7 7 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 6 nan
nan 5 5 5 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 3 3 2 2 2 3 3 3 3 2 1 -0 -1 -0 1 1 2 4 5 6 7 7 7 7 7 6 6 6 6 5 5 5 5 5 4 4 4 5 5 6 7 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 3 3 2 2 2 2 3 3 3 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 9 12 14 11 8 9 10 7 3 1 2 6 10 8 5 3 3 4 5 4 2 2 4 6 6 5 4 3 2 1 -1 -1 1 4 7 8 6 5 6 6 7 5 4 7 11 13 11 8 7 9 8 6 4 3 3 3 5 6 6 5 7 9 9 4 -3 -4 1 4 4 4 5 5 5 5 6 6 5 8 15 22 23 18 12 8 7 6 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 4 4 4 5 5 5 6 6 6 6 5 5 4 4 3 3 5 7 12 12 8 6 7 6 6 6 6 5 4 4 4 5 6 6 6 5 5 4 4 5 6 5 5 5 5 5 3 -0 -2 1 4 5 4 4 4 5 5 5 5 5 5 5 4 3 2 1 1 2 3 5 6 7 7 7 6 6 7 7 7 7 6 6 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 0 -1 -2 -4 -6 -7 -8 -8 -5 -1 3 5 5 5 5 4 5 5 5 5 4 2 0 1 6 11 13 12 8 4 4 7 8 7 6 5 5 5 4 4 3 3 3 4 4 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 9 10 10 10 11 11 12 12 11 11 11 11 11 10 10 10 10 10 9 9 8 8 7 7 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 nan
nan 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 2 2 3 3 3 3 2 2 2 3 3 3 3 2 1 0 0 0 1 1 2 4 5 6 7 7 7 7 7 6 6 6 6 6 5 5 5 4 4 4 4 5 6 7 8 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 3 3 2 2 2 2 3 3 3 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 8 10 11 8 5 7 9 8 5 3 6 10 11 8 4 3 4 5 5 3 2 3 6 7 6 6 5 4 3 2 1 1 3 7 10 11 9 6 6 6 3 -0 -1 2 6 8 6 4 5 6 7 6 5 4 4 5 6 5 4 6 10 13 11 3 -2 -0 3 4 4 5 6 6 5 5 5 5 5 10 18 21 19 13 9 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 5 5 5 6 6 6 6 6 5 4 3 3 3 4 6 10 12 10 7 6 6 6 6 5 3 3 4 5 5 5 5 5 5 5 4 4 4 6 6 5 4 5 5 5 3 0 -2 0 3 4 4 4 4 4 4 5 5 5 5 5 4 3 1 1 1 2 3 4 5 6 7 7 6 7 7 8 8 8 7 7 6 6 5 5 5 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 -0 -3 -4 -4 -4 -5 -6 -7 -7 -6 -2 2 3 4 4 5 5 5 5 5 5 5 4 2 2 7 13 16 16 13 9 8 8 7 6 6 6 5 5 5 4 3 3 3 3 3 3 4 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 8 8 9 10 10 10 11 11 12 12 12 12 12 12 11 10 10 10 10 10 9 9 8 7 7 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 nan
nan 5 6 6 5 5 4 4 5 5 4 4 4 4 4 4 3 3 3 3 4 4 3 3 3 2 2 2 3 4 3 2 1 1 0 0 1 2 3 4 5 6 7 7 7 7 7 6 6 6 6 6 5 5 4 4 4 4 5 6 8 8 8 7 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 3 3 2 2 2 3 3 3 3 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 8 9 11 10 6 5 7 9 9 9 11 13 10 5 3 3 4 4 3 3 4 6 8 7 6 6 6 5 4 3 3 4 5 6 7 10 11 8 8 7 1 -6 -7 -2 4 6 4 1 -0 2 5 7 8 6 5 6 6 3 2 4 8 10 7 2 1 3 4 5 4 4 6 7 6 5 5 4 6 13 19 19 14 10 7 6 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 4 4 4 5 5 5 5 5 6 6 6 6 6 5 4 4 4 4 4 5 8 11 10 7 6 5 6 5 5 4 4 5 6 6 5 4 5 6 6 5 5 4 5 5 5 5 5 5 5 6 4 -1 -2 0 3 4 4 4 4 4 4 5 5 5 5 5 4 2 1 1 1 1 2 3 5 6 6 6 6 6 7 8 8 9 9 9 8 7 7 6 6 5 5 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 2 1 -1 -3 -4 -4 -1 0 -1 -2 -1 -0 2 4 4 4 4 4 4 5 5 5 6 8 8 5 3 4 9 13 13 12 10 8 7 6 6 6 6 6 5 5 4 4 3 2 1 1 1 2 3 4 5 5 5 5 5 5 6 6 6 6 6 7 7 7 8 8 9 10 10 10 11 11 11 11 12 12 12 11 10 10 9 9 9 9 8 8 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 5 5 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 3 2 3 3 3 3 3 2 1 0 0 1 2 3 4 5 6 7 7 7 7 7 6 6 6 6 6 5 4 4 4 4 5 6 7 8 8 7 6 5 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 5 5 4 3 3 3 2 2 3 3 3 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 8 10 12 13 11 7 6 7 9 11 12 11 6 2 2 4 5 4 3 4 7 10 10 8 6 6 5 4 3 4 6 5 4 2 2 5 9 7 6 7 1 -7 -8 -2 5 8 6 2 -1 -1 2 7 10 8 4 3 4 3 1 3 5 5 4 3 5 6 8 7 5 4 5 7 7 6 5 4 8 15 18 16 11 8 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 5 5 5 5 5 6 6 6 6 5 5 4 4 4 5 5 5 7 10 12 10 7 6 5 5 6 6 6 6 5 5 4 4 5 6 6 6 5 5 4 4 5 5 6 6 5 6 6 2 -1 -1 2 4 4 3 3 3 4 4 5 5 6 5 5 3 2 2 1 1 1 1 3 4 5 5 5 5 6 6 8 9 10 11 11 10 9 9 8 7 6 5 4 4 4 5 6 7 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 1 1 -1 -1 2 4 4 2 3 5 5 6 5 5 4 3 2 3 4 5 7 11 14 11 4 1 4 7 8 7 7 6 5 6 5 5 6 6 5 5 5 5 5 3 1 -0 -0 -0 0 3 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 8 8 9 10 10 11 11 11 11 12 12 12 11 10 10 9 9 9 8 8 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 nan
nan 5 5 5 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 4 3 3 3 3 3 3 3 2 1 0 0 1 1 1 3 4 5 6 6 7 7 7 6 6 7 6 6 6 5 4 3 3 4 5 6 7 8 8 7 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 5 5 4 4 3 3 3 3 3 3 3 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 8 10 13 14 13 8 5 5 7 9 10 7 4 3 4 6 6 5 4 6 9 12 12 10 7 6 5 4 4 6 9 8 5 3 3 6 7 3 1 4 2 -4 -5 -0 6 9 9 5 2 0 2 6 9 7 3 1 3 4 3 3 3 4 4 4 6 9 11 10 6 4 5 6 7 6 5 6 11 17 17 12 8 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 4 4 4 5 4 4 4 5 5 5 6 6 6 5 4 4 4 5 6 6 6 7 9 12 13 11 8 7 7 7 7 7 6 5 4 5 5 6 6 6 5 5 5 5 4 5 6 7 6 6 6 6 4 1 1 2 3 3 3 3 3 3 4 4 5 5 6 5 5 4 3 2 1 -0 0 2 4 4 4 4 4 5 5 6 7 8 9 10 10 10 10 10 10 8 7 5 4 3 4 6 7 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 1 1 2 5 5 4 3 3 5 5 4 5 6 7 6 5 4 3 2 1 4 6 6 7 13 18 17 10 3 3 4 5 5 5 5 5 5 5 5 6 6 6 5 5 6 7 7 6 4 2 0 -1 1 4 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 8 8 9 10 10 11 11 12 12 12 12 11 11 10 9 9 9 9 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 nan
nan 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 3 2 1 0 0 1 1 2 3 4 5 6 6 6 7 7 7 7 7 6 6 5 5 4 3 3 4 5 6 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 5 5 4 4 3 3 3 3 3 3 4 4 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 8 8 10 13 14 11 6 4 3 3 5 6 5 4 6 7 7 8 7 6 7 11 13 12 11 9 7 5 4 4 8 12 12 9 7 7 9 7 2 -1 1 2 -0 -2 1 6 9 9 6 3 1 2 5 7 6 4 4 6 6 4 3 4 5 4 4 6 10 11 10 7 5 5 5 5 6 6 8 14 17 14 10 7 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 3 4 4 5 4 4 4 4 4 5 5 6 6 6 5 4 3 4 5 6 7 8 8 9 11 12 13 12 11 10 10 9 8 6 6 5 6 6 6 5 4 4 4 5 5 5 5 6 7 6 6 6 5 4 4 3 3 3 3 3 3 2 3 3 4 4 5 6 6 5 5 4 3 1 0 1 2 3 4 4 3 4 4 5 5 6 6 6 6 6 7 8 10 11 11 9 7 5 4 4 5 6 6 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 1 1 1 2 5 7 6 4 4 5 5 5 5 6 7 6 5 4 3 4 6 9 11 10 9 11 16 17 14 9 6 5 5 5 5 5 5 5 5 5 6 6 6 5 5 6 8 10 11 10 8 5 1 -0 2 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 8 8 9 10 10 11 11 12 12 12 11 11 10 10 9 9 9 9 9 8 8 7 7 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 5 5 5 6 6 6 6 6 7 7 7 8 8 8 8 8 nan
nan 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 3 1 1 1 1 1 1 1 3 4 5 6 6 6 6 6 7 7 6 6 6 5 5 4 3 3 3 4 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 4 4 3 3 3 3 3 4 4 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 8 9 10 12 12 9 3 1 1 2 3 5 5 6 7 6 6 8 8 6 7 11 11 8 7 8 7 6 4 5 9 14 14 11 10 11 11 8 3 1 1 2 1 1 2 5 7 7 5 3 2 3 6 6 4 3 7 9 7 4 3 4 5 4 4 6 10 11 8 6 5 5 4 3 3 5 10 15 16 12 9 7 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 5 5 6 6 6 5 4 3 3 4 6 8 9 9 8 9 10 11 13 13 14 14 13 11 9 8 8 8 7 6 4 2 3 4 5 5 5 5 6 7 6 6 6 5 5 6 5 4 3 3 3 3 3 3 3 4 4 5 5 6 6 6 5 4 2 1 1 3 4 4 4 3 4 4 4 5 5 5 4 2 1 0 2 6 10 11 10 9 7 6 5 5 6 6 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 2 1 1 0 0 1 4 5 5 5 4 4 5 6 6 5 5 5 5 5 6 7 10 13 16 16 15 11 10 11 12 12 10 7 6 5 5 5 5 5 5 5 5 5 6 6 5 5 6 7 8 10 10 10 8 4 2 3 4 5 6 6 6 5 4 4 5 5 5 6 6 6 6 7 7 8 8 9 9 10 11 11 12 12 12 11 11 10 10 9 9 9 9 9 8 8 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 nan
nan 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 1 1 1 1 0 0 2 3 4 5 5 6 6 6 6 6 6 6 7 6 6 5 4 3 3 3 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 4 4 3 3 3 3 4 4 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 8 9 11 13 13 9 2 -1 1 3 5 5 5 5 4 2 4 6 7 6 7 9 7 2 2 4 7 7 6 5 8 13 13 10 9 11 13 10 6 4 2 2 2 3 4 5 6 6 4 3 2 4 7 5 0 -1 4 8 6 3 2 4 4 4 5 8 10 10 8 5 4 3 2 1 1 5 11 15 14 11 8 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 5 3 3 4 6 7 9 9 9 8 8 8 10 11 12 13 13 12 11 10 10 10 9 7 5 3 4 4 4 4 5 7 9 9 8 7 7 6 7 7 6 4 3 3 3 3 3 3 3 4 4 5 5 6 6 6 6 5 3 2 2 4 5 4 4 4 4 4 4 5 5 6 5 2 -2 -5 -5 -1 5 9 9 9 8 7 7 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 0 -1 -2 -3 -3 -3 -2 1 5 6 4 4 4 4 5 6 6 5 5 4 4 6 10 14 15 15 15 14 13 11 9 9 9 9 8 6 6 5 5 5 5 5 5 5 5 5 6 6 5 5 5 6 6 7 7 7 7 5 4 4 5 6 7 7 7 5 4 4 4 5 5 5 6 6 6 6 6 7 7 8 9 9 10 11 11 12 12 12 11 11 10 10 9 9 9 9 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 nan
nan 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 2 1 0 0 1 2 3 4 5 5 5 6 6 6 6 6 7 7 7 6 5 4 3 3 3 3 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 6 6 5 5 4 3 3 3 3 3 4 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 8 8 10 11 14 14 11 5 2 4 7 7 6 5 2 -0 0 3 4 5 6 6 6 4 1 0 2 5 9 8 6 7 10 12 10 8 10 13 12 10 7 4 3 3 4 5 5 6 5 4 3 2 4 6 2 -3 -4 1 4 3 2 2 4 4 4 5 7 9 9 7 6 4 3 2 2 2 4 10 14 13 10 7 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 5 5 6 6 5 4 3 3 4 5 7 7 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 8 7 6 6 6 6 5 6 8 10 12 12 12 11 10 9 8 7 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 4 3 3 4 5 5 4 4 4 4 4 5 6 8 10 8 3 -3 -7 -6 -0 6 7 8 8 8 8 7 6 5 4 3 3 3 3 3 3 3 4 4 3 2 1 -1 -2 -3 -4 -6 -8 -9 -8 -7 -5 -1 4 5 4 4 4 4 5 6 6 7 7 6 6 8 12 15 13 10 7 7 7 7 8 8 8 8 7 6 6 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 6 6 6 5 5 5 4 4 5 6 7 8 8 6 5 4 3 4 5 5 6 6 6 6 6 6 7 7 8 8 9 10 10 11 12 12 12 11 10 10 10 9 9 9 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
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nan 13 15 16 17 16 14 13 11 10 10 10 11 11 11 11 10 10 10 10 10 11 12 13 13 13 12 11 10 10 10 11 13 14 14 14 14 13 11 10 9 8 8 8 8 9 9 9 9 8 8 9 9 11 12 13 14 14 14 13 14 14 14 15 15 15 16 15 15 14 13 12 13 13 14 14 14 13 12 12 11 11 11 10 9 9 8 9 10 11 13 16 18 19 18 17 15 12 11 10 11 11 11 12 13 13 13 13 13 13 14 14 15 15 15 15 14 13 13 13 14 14 15 15 15 14 14 14 14 14 14 14 14 14 14 14 15 15 15 14 14 14 13 13 12 12 12 12 13 14 15 15 16 16 16 16 15 15 14 14 14 14 13 13 13 13 13 13 14 14 13 12 10 8 7 7 7 8 9 9 10 10 11 12 12 12 11 11 10 10 10 10 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 10 10 10 10 11 10 10 11 11 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 10 10 12 13 15 17 17 16 14 13 10 7 5 5 6 8 10 12 12 13 13 13 13 13 12 12 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 11 12 12 12 12 11 10 10 9 9 10 10 11 11 11 12 12 12 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 10 7 3 0 -1 -0 2 4 7 9 10 11 12 12 12 12 12 12 12 12 12 12 13 14 15 17 20 23 26 29 30 31 31 29 26 21 17 13 11 11 11 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 11 11 11 11 12 12 12 11 10 7 6 6 6 7 8 8 9 11 12 13 13 14 14 14 15 15 16 17 19 21 22 23 23 22 19 17 14 12 11 11 11 11 11 11 11 12 11 12 12 12 13 15 16 16 16 15 14 14 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 14 14 15 15 14 14 12 12 11 10 10 11 11 11 11 12 12 13 14 14 14 14 13 13 13 13 13 12 12 12 12 13 13 14 15 15 14 14 14 14 14 14 14 14 14 14 13 13 12 12 11 11 11 12 12 13 14 14 15 nan
nan 14 15 16 17 16 15 14 13 12 12 12 11 11 11 10 9 9 9 9 10 10 12 12 13 13 12 11 10 10 10 11 13 14 14 14 14 13 12 11 10 10 9 9 9 9 9 9 8 8 8 8 8 10 11 12 12 12 11 10 11 12 12 14 14 15 14 14 13 12 10 10 10 11 11 12 13 13 13 14 14 13 11 10 9 8 8 8 9 9 10 12 15 16 17 17 17 16 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 12 13 13 14 14 14 14 14 14 14 14 13 13 13 13 13 14 15 15 16 16 16 16 16 15 15 14 14 14 14 15 15 15 15 15 15 15 15 15 15 14 14 13 13 13 13 13 13 14 13 14 13 13 12 11 10 10 10 10 10 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 10 9 8 7 6 6 7 9 10 10 10 10 10 12 12 13 13 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 15 17 18 19 19 18 15 12 8 4 1 0 3 6 10 13 14 14 13 13 13 13 12 11 11 10 10 10 10 10 10 10 10 11 11 10 10 10 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 13 13 12 10 7 4 2 1 2 4 7 9 11 12 12 12 12 12 12 12 11 11 11 11 11 12 13 15 16 19 23 26 29 30 31 31 29 26 22 18 14 12 11 11 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 13 13 14 15 16 17 17 17 16 15 13 11 10 10 11 11 12 11 11 12 12 13 13 13 13 13 14 14 15 16 17 18 19 18 17 15 13 12 11 10 11 11 11 11 11 11 11 10 10 10 10 11 12 12 13 14 14 14 14 14 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 11 11 11 11 11 11 11 12 12 13 13 14 15 16 15 15 14 14 13 13 13 13 13 12 12 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 13 12 12 11 11 11 11 11 12 13 13 13 nan
nan 14 14 14 15 14 14 14 14 14 14 14 13 13 13 11 10 9 9 9 9 10 11 12 13 13 12 11 11 10 11 11 12 13 13 14 13 13 13 13 12 11 11 11 11 11 11 10 9 8 8 8 9 11 12 12 12 11 9 8 8 9 10 12 13 14 13 13 11 10 9 8 9 10 11 12 13 14 15 15 15 13 12 10 9 9 9 9 9 9 10 11 12 13 15 16 18 18 18 18 18 17 16 15 15 15 15 15 15 15 15 14 13 13 12 12 11 12 12 12 13 12 12 12 12 13 13 13 13 13 12 12 13 13 14 14 15 16 16 16 16 16 16 16 16 16 16 16 16 16 15 15 14 13 13 14 14 14 13 13 13 13 12 13 13 13 13 13 12 12 12 12 11 11 11 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 11 11 12 11 12 12 11 11 11 11 11 11 10 10 10 10 10 10 9 7 5 4 3 4 5 8 9 10 10 11 12 13 13 13 13 13 13 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 14 14 14 14 13 11 9 5 3 4 7 12 16 19 18 16 14 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 10 11 11 11 11 12 11 11 10 9 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 13 13 13 13 12 10 7 4 1 -0 0 2 5 7 10 11 12 12 12 12 12 12 11 11 11 11 11 11 11 12 14 16 18 22 26 28 30 31 31 29 26 23 19 15 12 11 11 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 13 13 14 15 17 19 20 20 20 20 19 19 18 17 17 17 16 15 14 13 13 13 13 13 13 13 13 13 13 14 15 15 15 15 14 12 11 10 10 11 11 11 11 10 11 11 11 11 10 10 9 9 9 10 11 12 12 13 13 13 14 14 14 13 13 13 13 13 12 12 13 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 11 11 11 11 11 11 11 11 12 12 12 13 14 15 15 15 15 14 14 13 13 13 12 12 11 11 11 12 12 13 13 14 14 13 13 13 13 13 14 14 14 14 14 13 12 12 11 11 11 11 12 12 12 12 nan
nan 14 14 14 14 14 14 14 14 14 14 15 15 15 14 12 11 9 9 8 9 9 10 10 11 12 13 12 11 11 11 12 12 12 13 13 12 13 13 12 12 11 11 11 11 12 11 10 9 9 9 9 11 12 12 12 12 10 9 8 8 8 9 11 12 13 13 13 12 11 10 10 10 11 12 14 14 14 14 14 13 12 11 11 10 10 10 10 10 10 10 11 11 12 13 14 17 18 18 17 17 16 15 15 15 15 15 16 15 15 14 14 13 12 11 11 11 11 11 12 12 11 11 11 11 12 13 13 13 12 12 12 12 13 13 14 14 15 15 15 15 15 16 16 17 17 18 17 16 16 15 14 14 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 13 13 13 12 12 11 11 11 10 10 10 11 11 11 10 10 10 10 10 11 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 9 8 7 7 7 8 8 9 10 11 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 11 11 11 12 12 12 12 11 11 10 10 11 11 11 12 12 12 11 10 10 10 10 10 10 9 9 9 11 14 18 22 23 21 17 15 13 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 13 13 13 12 11 11 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 14 14 14 13 12 10 7 3 1 -2 -2 -0 2 6 8 10 12 12 12 12 12 12 11 11 11 10 10 10 11 11 12 13 15 18 21 25 28 30 31 31 29 26 23 19 15 13 11 11 12 12 13 13 13 13 13 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 14 15 16 17 17 17 18 18 19 19 19 19 18 17 16 15 14 14 13 13 13 13 13 13 13 14 14 15 15 15 15 14 14 13 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 13 13 13 13 13 13 13 12 12 12 13 13 13 12 13 12 12 12 12 12 11 12 12 13 13 13 12 12 11 11 11 11 11 11 11 11 12 12 12 13 13 14 14 13 13 12 12 12 12 12 12 11 11 10 10 10 11 12 13 13 13 13 13 13 13 13 14 14 15 14 14 14 13 12 12 11 11 11 12 12 12 12 nan
nan 14 14 15 15 14 14 14 13 13 14 15 16 16 16 14 12 10 9 8 8 7 8 9 10 12 13 13 13 13 12 12 13 12 12 12 12 11 11 11 10 9 9 10 10 11 10 9 9 9 9 10 11 11 11 11 10 10 9 8 8 9 10 11 13 14 15 15 14 13 12 11 11 11 12 13 13 12 12 11 11 11 11 11 11 12 12 11 11 10 10 10 11 11 12 12 13 13 14 13 13 13 13 13 14 14 15 15 15 14 14 13 13 12 12 11 11 11 11 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 14 14 15 15 16 17 17 17 16 15 14 14 14 14 14 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 13 13 14 13 13 12 12 11 10 10 11 11 11 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 11 11 11 11 11 11 12 11 11 11 12 12 13 14 13 13 12 11 11 11 11 11 12 12 12 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 11 11 12 12 11 11 10 9 9 9 10 11 12 12 12 11 11 10 9 9 9 9 9 10 10 12 15 17 19 20 19 16 15 14 13 12 12 11 11 11 11 12 13 13 14 13 13 12 11 11 10 10 10 11 11 12 13 13 13 13 12 12 12 12 12 12 13 13 13 14 14 14 14 14 13 13 12 12 11 12 12 13 14 13 12 10 7 4 1 0 0 1 3 6 8 10 12 12 13 13 13 12 12 11 11 11 10 10 10 11 11 12 13 15 17 20 24 28 30 31 31 30 27 23 20 16 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 14 14 14 14 14 14 15 15 16 16 16 15 15 14 14 13 13 13 13 13 13 13 14 14 14 15 15 15 16 15 15 14 14 13 12 11 11 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 13 13 13 14 14 13 13 12 11 11 12 12 12 12 11 10 10 10 10 11 12 12 13 13 13 13 14 14 14 15 15 15 15 15 14 13 13 12 12 12 12 12 12 12 12 nan
nan 14 14 14 14 14 13 12 12 12 14 15 16 16 16 14 12 11 9 8 7 7 8 9 11 14 15 15 15 14 14 13 13 12 12 12 11 10 9 9 8 8 9 10 10 10 10 9 9 9 9 10 10 10 10 9 9 8 8 8 9 10 10 12 14 15 16 16 16 15 14 13 12 11 10 10 10 10 10 9 9 10 11 11 12 13 12 11 10 9 9 10 11 11 12 12 11 10 10 10 10 10 11 12 13 13 14 13 13 13 12 12 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 15 15 15 15 15 14 14 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 13 12 12 11 11 11 10 11 11 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 14 13 12 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 10 10 9 9 9 10 11 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 13 14 15 14 14 14 14 15 15 14 13 13 12 11 12 13 14 15 15 15 14 13 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 14 15 15 15 15 14 14 13 12 11 10 10 10 10 9 9 8 7 5 3 2 1 2 4 6 8 11 12 13 14 14 14 14 14 13 12 11 11 10 10 10 10 11 11 12 13 14 17 20 24 28 30 32 32 30 28 24 20 17 14 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 13 14 14 14 14 14 14 14 15 15 15 16 16 16 16 15 15 15 14 13 12 11 11 11 11 11 12 11 11 11 10 10 10 10 11 11 11 11 12 12 12 12 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 12 12 12 12 12 11 11 12 12 12 12 13 13 14 15 15 15 15 14 13 13 13 13 13 13 13 13 12 11 11 11 12 12 13 13 13 13 13 14 14 14 15 15 15 15 14 14 13 13 13 13 13 13 13 13 13 12 nan
nan 14 13 13 12 11 11 11 12 13 13 14 15 15 14 13 11 10 9 8 8 8 9 11 14 16 17 16 16 15 14 13 13 12 12 12 11 10 9 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 8 8 9 10 11 12 13 14 15 16 16 16 15 14 13 12 11 10 9 9 9 8 8 9 10 11 13 13 12 11 10 8 9 10 12 13 14 14 13 12 11 11 10 11 11 12 12 13 13 13 12 12 12 12 13 14 15 15 16 15 14 14 13 13 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 13 14 14 14 15 14 13 13 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 11 12 11 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 11 11 12 11 10 8 6 5 5 7 10 11 11 12 11 12 12 12 12 13 13 13 14 14 14 13 13 13 12 12 12 12 12 12 11 11 10 10 9 9 9 9 10 10 10 11 11 10 10 10 10 11 12 13 14 13 11 10 9 9 9 10 12 14 15 15 15 15 14 14 14 13 12 11 11 11 12 13 14 14 14 13 12 12 12 13 14 15 15 14 14 14 13 13 12 12 11 11 11 10 10 10 11 11 12 12 12 12 13 14 15 16 16 16 15 14 13 12 10 8 7 6 5 4 3 2 1 1 1 1 3 5 8 10 12 14 15 16 16 16 16 15 14 13 12 11 11 10 10 10 10 10 11 11 13 14 16 19 23 27 31 32 33 31 28 25 21 18 15 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 13 12 12 12 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 15 15 15 15 16 16 16 16 16 16 16 15 15 13 12 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 12 12 12 12 12 11 12 12 12 12 12 13 14 15 16 16 16 16 15 14 14 14 14 15 15 15 14 14 13 13 12 12 12 13 13 13 13 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 12 nan
nan 14 13 12 11 11 11 12 13 14 14 14 14 13 12 11 10 9 8 7 7 8 9 11 13 16 17 17 16 16 14 14 13 12 12 11 11 10 9 8 8 8 9 10 11 11 10 10 9 9 8 8 9 9 9 8 8 8 8 8 9 10 11 12 13 14 14 15 16 16 15 15 14 13 12 12 11 10 8 8 9 10 11 12 13 12 10 9 8 7 9 11 13 14 16 16 15 14 13 12 12 11 12 12 13 14 13 13 13 12 13 13 15 16 17 17 17 16 15 14 13 12 11 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 13 14 15 15 15 15 14 13 12 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 10 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 10 7 3 -1 -4 -3 2 7 10 13 13 12 12 13 12 13 13 13 13 14 14 13 13 13 12 12 12 12 11 11 10 9 8 7 7 8 8 9 9 9 9 9 10 10 10 10 11 12 13 15 15 14 13 11 10 10 10 10 11 12 14 15 15 15 15 15 15 14 12 10 9 8 8 9 10 11 11 11 11 11 12 12 13 14 14 14 14 14 14 13 13 12 12 12 10 8 7 6 6 7 8 9 10 11 12 14 15 16 16 15 14 13 12 11 9 7 5 4 3 2 2 2 2 3 4 5 8 10 12 14 16 17 17 17 17 17 16 15 14 13 12 11 10 10 10 10 10 10 11 11 12 14 16 18 23 27 30 32 33 32 29 25 22 18 15 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 12 13 13 13 13 13 14 14 14 14 14 14 15 15 15 15 16 16 16 17 17 17 18 18 17 15 13 12 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 12 13 14 15 16 15 15 14 13 13 14 14 15 15 15 14 13 12 12 12 12 12 13 13 13 13 13 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
10 10 9 9 9 9 8 8 9 9 9 7 6 6 5 5 7 9 9 9 11 12 12 12 12 12 12 11 10 12 20 32 57 96 147 201 253 285 308 336 373 423 486 557 640 697 736 759 763 749 724 694 670 669 699 752 821 867 862 778 625 443 294 185 109 69 34 36 38 27 18 14 10 10 11 12 11 9 6 5 4 9 17 8 1 0 1 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 19 21 22 23 24 25 25 25 24 27 23 22 24 16 0 30 70 60 66 14 1 1 15 45 49 60 75 87 101 155 225 212 204 261 372 458 444 451 456 512 569 693 756 850 934 1057 1208 1319 1389 1398 1367 1312 1254 1198 1130 1068 1000 894 775 686 632 612 615 625 638 659 655 614 629 672 715 704 646 646 670 691 705 717 726 745 766 772 700 698 720 752 778 774 771 793 878 1054 1321 1491 1201 815 826 894 769 589 579 828 1174 1813 2340 2367 2382 2369 1998 1863 1870 1774 1459 1714 1978 2091 2043 1777 1537 1280 1015 635 254 49 20 76 30 0 0 2 14 89 238 335 459 491 294 135 70 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 7 1 0 0 0 7 26 36 39 33 21 9 28 197 573 1027 1322 1418 1534 1680 1678 1567 1439 1329 1231 1330 1486 1579 1695 1930 1789 1415 1161 1042 923 804 676 595 514 426 372 362 319 271 234 195 151 116 88 69 64 68 76 96 124 158 205 267 340 426 439 390 491 547 496 311 92 2 1 0 0 0 0 2 40 326 653 617 537 525 464 475 517 470 407 371 407 482 569 609 636 698 799 840 715 535 462 451 415 354 321 287 265 262 267 277 342 489 718 1083 1501 1890 2036 2157 2332 2232 1949 1670 1389 1123 934 874 908 894 883 888 885 876 859 832 804 778 775 823 868 876 895 908 911 914 943 1001 1068 1128 1202 1374 1577 1905 1764 1807 1733 1742 1630 1530 1348 1286 1070 805 588 498 454 409 379 384 394 385 367 356 342 327 321 301 283 268 245 212 179 138 81 29 14 0 0 1 3 1 2 1 0 0 0 3 3 3 5 0 3 2 1 2 1 1 1 17 48 59 74 110 148 237 305 482 689 937 1271 1621 1899 1965 1944 1913 1882 1938 2035 1982 1867 1791 1792 1846 1809 1680 1565 1465 1383 1312 1288 1274 1246 1273 1257 1221 1278 1260 1246 1267 1297 1352 1397 1407 1428 1495 1593 1696 1784 1845 1872 1859 1791 1720 1638 1495 1261 899 896 715 597 591 588 594 613 619 610 611 641 672 685 689 698 714 737 776 810 832 851 868 882 900 904 908 878 849 823 811 821
9 9 9 9 10 10 10 10 10 10 10 10 9 8 6 4 4 4 4 6 8 10 12 12 12 12 12 12 10 8 11 18 29 46 78 125 181 233 273 298 316 347 401 464 540 608 660 691 692 677 647 612 581 560 576 632 720 812 864 847 737 561 396 265 176 139 104 88 71 58 52 48 35 18 14 15 16 15 11 9 8 13 15 9 3 0 4 7 0 0 0 0 0 0 1 2 0 0 0 0 0 1 7 16 19 21 22 23 24 25 24 23 22 18 18 19 21 17 9 3 37 58 49 51 3 0 0 3 8 7 9 21 53 85 108 151 229 252 252 333 423 420 400 405 444 493 605 741 881 971 1074 1161 1209 1231 1211 1208 1213 1187 1149 1080 1010 930 827 718 643 609 610 622 637 649 660 651 626 631 656 705 742 693 656 668 689 704 722 725 738 750 754 685 690 713 744 771 749 748 773 860 1053 1403 1389 851 582 684 718 599 478 494 597 818 1280 1700 1958 2271 2392 1866 1504 1511 1603 974 945 1301 1745 1980 1863 1431 1026 756 459 210 82 137 95 23 1 0 0 1 13 46 100 296 388 204 47 14 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 5 14 14 10 7 5 25 140 407 799 1178 1370 1398 1461 1571 1570 1481 1391 1308 1237 1291 1405 1470 1506 1508 1330 1055 858 896 843 725 597 528 440 365 319 330 283 224 182 132 85 54 35 26 25 32 46 69 98 133 182 247 318 392 380 300 443 562 532 389 172 26 4 2 2 0 0 1 61 346 590 499 395 392 379 416 405 332 276 261 302 362 414 449 459 455 603 874 812 495 386 356 322 285 263 249 235 218 209 222 255 336 488 767 1162 1586 1902 2099 2253 2234 2035 1797 1530 1211 969 860 915 906 880 889 888 871 854 835 797 757 771 834 885 906 939 924 902 893 905 979 1025 1066 1131 1244 1416 1477 1582 1645 1581 1650 1530 1415 1267 1153 916 651 476 400 372 354 337 324 311 298 290 279 274 277 278 268 257 225 208 182 154 122 85 68 51 39 14 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 19 27 33 37 103 186 356 537 763 1065 1426 1701 1795 1816 1807 1750 1735 1719 1713 1752 1822 1908 1886 1812 1738 1680 1590 1515 1481 1438 1413 1416 1433 1433 1409 1400 1357 1303 1279 1264 1255 1245 1251 1289 1354 1447 1550 1647 1729 1790 1828 1792 1726 1654 1552 1300 903 673 623 627 615 599 597 610 616 607 597 612 648 671 682 691 706 735 788 847 889 919 935 955 972 965 937 915 896 871 854 862
8 8 8 9 10 9 10 10 10 10 9 9 9 7 6 3 1 0 1 2 3 5 8 10 11 11 11 10 10 9 8 10 16 22 36 64 108 164 221 268 297 322 347 381 435 500 562 608 624 622 607 597 556 515 511 549 617 706 792 831 793 681 513 358 253 200 161 128 108 92 83 80 72 50 34 28 28 24 17 12 11 18 17 12 4 0 7 6 0 1 1 0 0 1 2 4 0 0 3 6 5 9 15 16 21 23 23 23 23 24 23 16 11 10 8 8 5 4 4 11 21 39 35 35 0 0 0 0 0 0 0 2 12 47 93 120 206 270 256 295 376 396 370 371 408 473 590 711 821 872 919 959 996 1046 1074 1117 1157 1160 1126 1060 976 891 792 695 630 606 615 629 652 654 653 651 639 639 657 694 740 743 701 675 688 703 715 723 730 756 728 679 684 709 739 771 732 737 767 851 1059 1304 1172 630 446 537 543 408 274 285 287 425 813 1075 1265 1498 1742 1629 1228 1226 1311 779 608 717 985 1241 1244 863 504 318 175 99 100 138 101 28 3 0 0 0 0 2 61 229 319 205 53 1 0 0 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 0 0 0 3 27 151 376 679 1048 1354 1440 1393 1419 1481 1468 1422 1360 1301 1258 1279 1328 1366 1322 1171 1006 834 677 719 695 587 501 441 365 301 268 276 231 167 116 71 38 18 9 7 8 19 36 52 71 104 159 236 316 389 402 344 410 539 530 414 221 54 11 11 10 2 2 6 65 248 442 430 357 327 327 335 235 178 170 174 199 235 245 255 296 238 310 698 754 419 319 277 244 226 222 231 220 199 193 204 221 255 341 525 818 1209 1623 1980 2172 2260 2126 1930 1661 1327 1042 880 918 937 892 878 883 874 852 816 763 725 737 774 827 871 909 891 886 906 925 993 1039 1027 1021 1125 1260 1259 1369 1421 1351 1413 1449 1392 1213 973 739 547 408 341 322 307 282 264 254 243 233 225 220 221 220 206 206 184 172 153 124 96 71 55 73 183 98 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 10 26 59 151 287 415 585 849 1189 1506 1676 1736 1758 1727 1699 1697 1666 1737 1843 1820 1786 1826 1819 1769 1710 1658 1652 1608 1564 1537 1513 1477 1425 1368 1315 1252 1206 1173 1160 1160 1159 1208 1266 1338 1400 1449 1531 1644 1732 1752 1655 1585 1529 1352 1061 788 665 653 643 625 618 630 628 616 591 587 615 649 678 681 700 748 802 857 903 944 974 997 1012 1007 984 960 940 920 890 878
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2 2 3 3 4 4 3 4 4 4 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 1 3 5 7 12 23 42 54 70 94 116 143 157 174 204 253 315 365 347 295 280 297 357 428 511 580 621 620 576 551 532 499 473 469 472 482 480 479 479 467 446 425 412 386 350 303 250 187 131 110 92 78 65 57 54 52 49 47 46 45 42 38 35 32 24 16 16 25 25 14 3 0 0 14 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16 39 55 67 80 98 120 136 155 180 182 188 205 232 260 279 322 357 401 455 499 522 518 535 566 601 639 663 667 655 622 580 547 526 529 545 519 469 463 468 474 448 436 430 427 428 435 437 441 465 503 550 598 642 677 684 656 642 677 725 808 1117 1553 1371 615 185 122 93 68 35 49 85 86 35 33 15 14 32 48 31 8 3 11 22 29 24 13 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 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 24 55 39 16 80 168 257 527 1162 1571 1774 1826 1767 1668 1586 1532 1493 1476 1500 1505 1441 1352 1268 1199 1171 1214 1274 1317 1377 1194 1049 843 669 529 379 284 191 127 111 84 73 50 24 11 3 0 2 5 12 19 26 33 41 43 37 31 36 66 121 240 380 892 1334 1634 1743 1475 1117 815 606 405 248 165 125 113 120 130 164 207 245 285 312 292 224 136 68 73 107 155 147 142 128 194 147 114 61 60 88 52 28 29 75 86 86 85 84 86 79 71 71 77 93 113 122 120 143 250 415 492 592 722 764 737 637 518 436 413 431 429 381 347 348 392 469 606 737 813 848 864 858 827 775 717 674 644 638 676 755 864 707 734 656 561 437 359 343 280 248 208 175 136 110 87 75 55 25 13 9 3 0 0 0 10 67 23 0 0 0 0 0 0 0 0 0 0 0 0 2 3 6 12 33 112 301 589 791 618 347 234 201 168 149 138 126 123 115 102 83 71 69 67 66 64 64 76 96 114 127 167 305 427 407 713 1032 1231 1408 1539 1593 1623 1630 1609 1625 1678 1746 1800 1848 1903 1952 2001 2063 2120 2193 2304 2425 2529 2616 2663 2618 2534 2409 2196 1918 1721 1534 1329 1126 1007 980 940 893 874 880 873 848 810 850 837 793 781 766 744 725 696 681 677 664 663 666 666 676 661 661 698 719 755 740 767 777 793 831 869 897 937 993 1039
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