Vorticity
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nan 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 4 3 3 3 2 1 0 -1 -0 0 2 3 4 5 5 6 7 8 9 8 7 6 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 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 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 7 9 15 21 20 12 6 6 8 10 10 10 8 4 0 2 8 10 8 7 5 2 1 5 8 8 7 7 8 8 8 8 8 6 5 6 8 9 7 4 2 4 8 9 6 5 6 8 7 4 1 1 2 3 3 3 1 2 5 7 5 1 -5 -7 -5 2 7 5 -2 -2 3 5 3 -0 -3 -0 3 3 2 3 6 12 21 25 21 14 9 6 6 5 5 5 5 6 6 6 5 5 4 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 7 9 11 10 7 5 5 5 7 8 7 6 4 4 3 3 4 5 5 4 4 3 4 4 4 5 6 4 -1 -5 -6 -3 -1 -1 -1 1 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 4 4 4 4 4 5 6 7 8 8 9 9 9 8 8 8 7 7 6 6 6 5 5 5 5 4 4 4 3 3 4 5 5 6 7 7 8 9 8 7 4 3 2 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 3 4 4 6 12 19 22 21 17 12 9 8 6 5 4 4 4 4 3 1 1 3 5 6 5 6 8 9 6 3 1 0 2 2 -3 -7 -4 2 4 6 6 7 7 8 9 9 9 10 9 9 8 6 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 6 7 7 8 8 9 9 9 10 10 10 10 9 9 9 8 7 6 5 5 6 6 6 7 7 7 7 6 6 6 6 7 7 8 8 8 8 7 7 7 7 6 5 3 3 3 3 4 4 5 6 nan
nan 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 4 4 4 3 3 2 1 -0 -0 -0 1 2 3 4 5 5 6 7 8 8 8 7 6 5 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 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 5 5 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 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 7 10 16 20 16 10 6 6 7 9 10 9 6 2 1 3 6 8 7 7 6 5 3 4 7 8 9 9 9 8 7 7 7 6 5 5 5 5 5 5 5 8 11 11 8 6 6 8 7 3 1 2 5 5 5 4 4 6 9 8 5 1 -5 -8 -3 6 8 3 -2 1 3 3 2 1 -0 2 5 5 4 5 11 20 25 24 17 10 7 6 5 5 5 5 5 6 6 5 5 5 4 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 3 3 4 5 7 8 10 9 7 6 6 6 7 8 7 6 5 4 4 4 5 6 5 4 3 4 4 3 3 4 5 5 2 -3 -7 -5 -3 -2 -4 -2 2 3 4 4 4 4 4 3 3 3 3 3 4 6 6 5 3 3 3 4 4 5 6 7 8 8 8 8 8 8 7 7 7 7 7 6 6 5 5 5 4 4 4 3 4 4 5 6 7 7 8 8 9 8 6 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 6 11 15 18 16 12 8 6 4 3 4 5 7 6 4 2 2 3 5 6 8 9 9 9 7 5 4 3 4 5 3 -1 -2 1 4 5 5 6 7 8 8 8 8 7 7 7 6 6 5 5 4 4 4 5 5 5 5 5 5 6 6 6 6 7 7 8 8 9 9 10 10 11 11 11 10 10 10 10 9 9 7 6 6 6 6 6 7 7 6 6 6 6 6 6 7 7 8 8 7 7 7 6 6 6 5 4 3 2 2 3 3 4 5 6 nan
nan 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 3 4 4 4 4 4 3 2 1 0 -0 0 1 2 3 4 4 5 6 7 7 8 7 7 6 5 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 4 4 4 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 5 5 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 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 7 7 10 16 20 18 14 10 7 6 6 7 7 5 3 2 4 5 4 4 5 6 5 2 3 5 7 8 8 8 7 6 6 5 5 4 4 3 3 4 6 9 12 13 12 11 11 12 11 8 3 3 6 7 7 5 4 5 7 10 9 5 1 -3 -4 -1 4 3 0 1 3 3 1 1 2 3 4 6 6 6 9 18 25 26 20 12 7 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 4 4 4 3 3 3 4 6 9 11 9 7 6 7 7 7 7 6 5 5 5 5 5 5 6 6 4 3 4 5 5 4 4 5 6 5 2 -3 -5 -2 0 -2 -2 1 4 5 5 5 5 4 4 3 3 2 3 4 6 7 6 4 2 2 2 3 4 5 6 7 8 8 8 7 7 7 7 7 7 7 7 6 6 5 5 5 4 4 4 4 4 5 6 7 8 8 8 7 6 5 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 1 1 1 3 6 9 11 9 6 3 2 1 2 4 6 7 4 2 2 3 4 6 7 8 7 6 6 5 5 5 4 5 5 3 2 3 4 5 5 6 6 8 8 8 8 7 7 6 6 6 5 5 4 4 4 4 4 4 5 5 6 6 6 6 7 7 8 8 9 9 9 9 10 10 10 10 10 9 9 10 10 10 9 8 7 7 7 7 7 6 6 6 6 6 6 6 7 7 8 8 8 7 6 6 6 6 5 4 3 2 2 2 3 4 5 5 nan
nan 4 5 5 5 4 4 3 3 3 3 3 2 2 2 2 2 2 3 3 3 4 4 5 4 4 2 1 0 0 1 1 2 3 4 4 5 6 6 7 7 7 6 5 5 4 4 5 5 5 5 5 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 5 5 5 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 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 7 7 9 15 20 22 18 12 8 6 4 4 4 4 4 5 5 4 3 2 3 3 1 1 2 4 6 6 6 6 5 4 3 3 3 5 6 6 4 3 5 8 12 11 9 10 13 15 13 9 6 6 7 7 5 4 3 4 6 9 8 5 2 2 3 2 -0 -3 -1 3 5 4 1 1 2 4 6 6 6 9 16 23 26 22 14 8 6 5 5 5 5 5 4 4 5 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 3 3 4 6 10 13 12 7 6 8 8 6 5 5 4 5 6 6 5 5 6 6 5 4 5 6 6 5 5 5 5 6 5 0 -4 -2 3 4 2 2 4 5 5 5 5 5 5 4 3 3 2 4 6 9 8 6 2 0 0 1 2 4 5 6 7 7 7 7 6 6 6 6 6 7 7 6 6 5 5 5 5 4 4 4 4 5 6 7 8 7 6 5 4 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 2 0 -1 -3 -4 -4 -2 -0 3 5 6 4 3 3 2 3 4 5 6 4 1 1 3 5 7 7 6 4 4 5 7 7 7 5 5 4 4 3 3 4 4 5 5 6 8 8 8 8 7 7 7 6 6 6 6 5 5 5 5 5 5 5 6 6 6 7 7 8 8 9 9 9 8 9 9 9 9 9 9 9 9 9 9 10 10 11 10 9 8 7 7 6 6 6 6 6 6 6 6 7 7 7 8 8 7 7 6 6 6 5 4 3 2 1 2 3 3 4 5 nan
nan 4 4 5 5 5 4 4 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 4 5 4 4 2 1 1 1 1 2 3 3 4 4 5 5 5 6 6 6 6 5 4 4 4 5 5 5 5 5 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 5 5 5 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 3 3 3 3 3 3 3 3 3 3 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 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 7 8 9 12 16 18 15 10 7 5 3 1 2 4 5 5 4 3 3 4 2 1 1 3 4 5 5 5 5 5 4 3 2 1 3 7 9 9 6 3 3 6 8 6 4 5 9 12 10 8 7 8 7 5 4 3 2 3 5 7 6 5 6 9 9 3 -4 -5 0 4 5 4 3 2 4 5 6 6 8 14 21 25 22 16 10 6 5 5 5 5 4 4 3 3 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 4 4 5 5 5 5 5 5 5 5 4 4 4 3 3 4 6 9 13 13 9 7 8 7 6 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 5 5 3 -1 -3 0 5 6 5 5 5 5 5 6 6 5 5 4 3 2 3 6 10 11 9 5 1 -1 -1 0 2 4 5 6 6 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 7 7 7 6 5 4 3 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 3 3 2 1 -0 -1 -3 -5 -7 -8 -9 -7 -5 -1 2 3 3 3 4 5 6 6 6 6 4 2 2 3 7 11 11 10 7 6 8 9 9 7 6 5 4 4 3 3 3 3 4 5 6 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 8 8 9 9 9 9 8 8 8 8 9 8 8 8 8 8 8 9 11 12 11 10 8 7 7 6 6 7 6 6 6 6 6 7 7 7 8 8 8 8 7 6 6 5 4 3 2 1 2 3 3 4 4 nan
nan 4 4 4 5 5 5 5 4 4 4 3 3 2 2 2 2 2 3 3 3 3 3 3 4 4 4 3 2 1 1 1 1 2 3 3 4 4 5 5 5 6 6 6 6 5 4 4 4 5 5 5 5 5 4 4 4 5 5 6 6 6 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 5 5 5 5 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 3 3 3 3 3 3 3 3 3 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 5 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 7 7 8 9 10 12 12 10 6 5 5 2 2 5 7 7 3 1 2 4 4 4 4 5 6 7 6 6 6 6 6 4 3 2 2 4 7 10 11 9 6 5 5 4 1 -2 -0 4 7 5 4 4 5 6 6 5 4 4 5 6 5 4 5 10 13 10 2 -3 -1 2 4 5 5 5 5 6 6 5 5 10 18 22 21 16 11 7 5 4 5 5 5 4 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 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 8 11 13 10 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 3 -1 -4 -1 3 5 5 5 5 5 5 6 6 5 4 3 2 3 6 10 13 12 8 4 1 -1 -1 1 3 5 5 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 6 6 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 3 2 0 -2 -4 -5 -5 -6 -7 -8 -9 -7 -5 -1 2 3 3 4 5 7 7 7 7 6 6 5 4 5 9 14 16 16 13 11 11 9 8 6 6 5 5 4 4 3 3 3 3 4 5 6 6 6 6 6 7 8 8 8 8 8 8 7 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 11 12 12 10 9 8 7 7 7 7 7 6 6 6 6 6 6 7 8 8 9 9 8 7 6 5 4 3 2 2 2 3 3 3 3 nan
nan 5 4 4 4 4 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 2 2 1 1 1 2 2 2 3 4 4 5 5 6 6 7 6 6 5 4 4 4 5 5 5 5 5 4 4 5 5 6 6 6 6 6 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 5 5 5 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 4 4 4 4 4 3 3 3 3 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 5 5 5 5 5 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 7 7 8 9 9 11 12 9 6 5 5 5 6 9 10 6 1 -1 1 4 5 5 7 8 9 9 7 6 6 6 5 4 3 2 2 3 4 5 8 9 8 7 5 0 -5 -6 -3 2 5 3 -0 -1 2 6 9 9 7 6 6 6 3 2 4 9 11 7 2 1 2 4 4 4 4 5 7 7 6 5 6 11 18 19 16 11 7 5 4 4 5 5 4 4 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 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 8 10 13 11 7 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 5 5 5 5 2 -3 -5 -2 3 4 4 4 4 5 5 5 5 4 3 2 2 5 8 11 12 11 8 4 1 -0 1 3 4 5 5 6 6 6 6 6 6 7 8 8 8 8 7 7 7 7 7 6 7 7 7 7 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 1 -0 -3 -5 -6 -5 -3 -1 -2 -3 -1 0 2 4 4 4 4 5 6 7 6 6 7 8 8 6 4 6 11 14 15 13 11 9 7 6 5 5 6 5 5 4 4 3 3 2 1 1 2 3 4 5 6 7 8 8 9 8 8 8 8 7 7 7 6 6 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 10 11 11 10 9 8 7 7 7 7 7 6 6 6 6 6 6 6 7 8 9 9 9 7 6 5 4 4 3 3 3 4 4 3 2 nan
nan 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 3 2 2 2 1 1 1 2 2 2 3 4 4 5 6 7 7 7 7 5 5 4 4 4 5 5 6 5 4 4 5 6 6 7 7 6 6 6 6 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 5 5 5 5 5 5 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 3 3 3 3 3 3 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 5 5 5 5 5 5 5 5 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 7 7 8 9 10 11 13 13 9 6 6 7 9 11 9 4 0 1 3 5 6 6 8 10 11 11 9 7 6 6 5 4 4 4 3 1 1 1 4 8 7 5 3 -2 -7 -7 -2 4 7 4 0 -2 -0 4 9 12 9 5 3 4 4 2 3 6 6 4 3 5 6 6 5 5 4 5 7 8 7 5 7 13 17 16 12 8 6 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 4 4 4 5 7 8 10 12 13 10 6 5 5 6 6 6 5 5 5 5 5 6 6 5 6 5 4 4 4 5 5 5 5 6 6 6 5 1 -3 -3 1 4 4 4 4 4 4 4 4 4 3 2 2 4 6 8 10 10 10 7 4 2 2 3 4 5 5 6 6 6 6 6 7 8 9 9 9 9 9 8 8 8 7 6 6 7 7 6 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 1 1 0 -1 -3 -2 2 4 3 2 3 5 5 5 5 4 5 4 5 5 5 5 7 11 13 10 4 1 4 8 9 8 7 6 5 5 5 5 5 5 5 5 4 5 5 3 -0 -1 -1 -1 -0 3 5 6 7 8 8 8 7 7 7 6 6 6 6 6 7 7 7 7 6 7 7 7 7 8 8 8 8 8 9 9 9 8 8 8 8 8 9 10 10 9 9 8 8 8 7 7 7 6 6 6 6 5 5 6 6 7 9 9 9 8 7 5 5 5 4 4 4 5 4 4 3 nan
nan 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 1 1 2 3 3 3 4 5 6 7 8 8 7 5 5 4 4 4 5 6 6 5 4 4 6 7 7 7 7 6 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 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 4 4 4 4 4 4 4 4 4 4 4 3 3 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 5 5 5 5 5 5 6 5 5 5 4 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 6 7 7 8 8 9 10 11 13 13 11 7 5 7 9 9 7 4 3 4 7 8 8 8 8 11 13 13 11 7 6 6 5 4 5 7 6 4 3 3 6 8 5 3 2 -2 -6 -5 -0 6 8 7 4 1 0 2 7 11 9 4 1 3 5 5 4 4 4 3 4 7 9 9 7 6 5 6 7 8 6 6 10 15 17 15 10 7 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 7 8 10 12 14 14 11 8 7 7 7 7 6 6 6 6 6 6 7 7 6 5 4 3 3 4 4 6 6 6 6 6 5 4 0 -1 1 3 4 4 4 3 3 3 4 4 3 2 2 2 4 5 7 8 9 8 6 3 3 4 5 5 6 6 7 7 6 6 6 7 9 10 10 10 10 10 9 9 8 7 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 1 1 1 3 4 2 2 4 6 5 4 4 5 5 5 4 4 4 4 4 5 6 6 7 12 17 16 9 3 2 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 6 3 2 -1 -2 -0 4 5 6 8 8 8 7 6 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 7 6 6 6 6 5 6 6 7 8 9 10 9 8 7 6 6 5 5 5 5 5 5 4 nan
nan 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 1 1 2 2 3 3 4 5 6 8 8 8 7 5 4 4 4 4 5 6 6 5 5 5 6 7 7 7 7 6 6 6 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 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 3 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 5 5 5 5 5 5 6 6 6 6 5 4 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 6 7 7 8 9 10 11 12 12 11 9 6 4 5 6 6 5 5 6 7 8 10 9 7 8 11 13 12 9 8 7 7 6 5 7 11 11 10 9 9 11 9 5 2 2 0 -2 -2 1 5 7 7 6 3 2 2 6 9 7 4 4 7 8 6 5 5 5 5 6 7 9 10 8 6 5 7 8 7 6 7 12 17 17 13 9 7 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 4 4 4 4 6 8 10 11 13 15 15 13 12 11 11 10 8 8 8 7 7 7 7 7 7 5 4 4 3 3 4 6 6 6 6 6 6 6 4 2 2 3 4 4 4 3 3 3 3 3 3 2 1 1 2 3 5 6 7 7 6 4 4 4 5 6 7 8 8 7 6 5 5 5 6 8 9 9 9 10 10 10 8 6 5 4 4 4 4 3 3 4 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 2 1 1 0 1 3 5 5 5 5 5 5 4 4 4 4 4 4 4 5 6 7 9 10 9 8 10 14 16 13 8 5 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 8 11 12 11 8 5 1 -1 2 4 6 8 9 10 9 8 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 8 8 7 7 6 6 6 6 6 6 7 8 9 10 9 8 7 7 6 6 5 5 5 5 5 nan
nan 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 1 2 2 2 2 2 3 4 6 7 8 7 6 5 4 4 4 5 6 7 6 6 6 7 7 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 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 4 4 4 4 4 4 4 4 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 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 6 6 6 7 7 8 9 10 11 12 12 10 7 4 3 4 5 5 5 5 6 7 8 9 8 6 7 11 10 6 5 6 8 7 6 5 8 13 15 13 12 14 14 9 4 1 1 1 1 0 1 3 5 6 6 4 3 4 7 8 5 3 7 10 9 6 5 6 8 8 7 6 7 8 7 5 5 6 7 5 4 8 14 18 16 12 8 6 5 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 5 4 4 4 5 7 9 9 10 11 13 15 15 15 15 14 13 12 11 10 9 8 8 7 5 4 4 5 5 5 6 7 7 7 7 8 8 7 6 4 3 4 4 4 4 4 4 3 3 3 2 2 1 0 1 2 3 4 4 5 4 4 4 5 6 7 9 9 9 9 7 5 2 0 0 3 6 8 9 9 10 10 8 6 3 2 2 3 3 3 3 4 5 5 4 4 4 5 5 4 4 4 3 3 2 2 1 0 -1 -1 0 2 3 4 4 5 5 5 5 4 4 5 5 6 6 7 8 10 13 15 15 14 10 7 8 9 10 8 6 5 4 4 4 4 4 5 5 5 5 5 5 5 4 5 6 8 10 11 11 9 5 2 2 3 5 8 11 13 13 11 7 6 5 6 6 6 5 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 9 10 10 11 11 11 11 11 10 9 9 8 8 7 7 6 6 6 6 6 7 9 10 10 9 8 7 6 6 6 6 6 5 5 nan
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nan 11 12 13 14 14 13 12 12 11 11 11 11 11 11 10 10 9 9 9 10 10 11 11 11 11 10 9 9 9 10 11 14 15 15 15 14 13 11 9 9 8 7 7 7 8 8 9 9 9 9 9 10 11 12 13 13 13 14 14 14 14 15 15 14 13 12 11 10 11 12 12 13 14 14 13 12 11 10 10 11 13 13 13 12 11 11 12 13 13 14 16 17 17 17 16 14 12 11 10 10 10 10 11 12 12 12 12 12 12 13 14 15 15 16 16 16 16 16 16 16 16 16 16 16 15 15 14 13 13 13 13 13 14 14 15 15 15 15 16 15 14 13 12 12 12 12 12 12 12 12 12 13 14 15 15 15 15 15 14 14 14 13 12 12 12 12 13 14 14 14 13 11 9 7 7 8 9 10 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 10 9 9 8 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 13 12 12 11 11 11 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 12 12 11 11 10 10 10 10 10 10 9 9 9 10 11 11 12 12 12 12 12 11 11 11 12 11 11 10 10 12 14 16 18 18 16 15 13 10 7 5 5 6 8 11 12 13 13 12 12 12 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 13 13 12 12 11 11 11 11 11 11 11 10 9 8 8 7 7 7 7 8 9 10 11 13 14 15 15 14 13 12 12 11 9 7 4 2 2 2 3 5 6 8 9 10 10 10 10 10 10 10 10 11 12 12 12 12 13 15 19 22 27 31 34 35 33 30 26 20 16 12 11 12 12 13 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 12 12 13 13 11 10 8 7 7 8 8 9 10 10 11 12 13 14 14 15 16 16 17 17 18 19 20 21 22 22 21 20 17 15 13 12 11 10 10 10 10 11 11 11 12 13 13 14 16 17 17 17 16 15 15 14 13 12 12 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 13 13 14 15 15 14 14 13 12 12 13 13 13 13 13 13 13 14 15 16 15 15 14 14 14 14 14 14 13 14 13 13 13 12 12 12 12 12 13 13 14 15 15 16 nan
nan 12 13 14 16 15 15 13 12 11 11 11 11 11 11 10 8 8 8 9 9 10 11 11 12 12 11 10 10 9 10 12 14 15 16 16 15 13 12 10 9 8 8 9 9 9 9 9 10 10 10 10 11 11 11 12 12 12 13 13 13 12 12 11 10 9 9 10 10 12 12 13 13 13 14 14 13 13 13 13 13 13 13 12 11 10 9 9 9 9 10 11 13 14 15 14 13 12 11 10 10 10 11 11 12 12 12 13 13 14 15 16 16 16 16 15 15 15 14 13 13 13 13 14 14 14 14 13 13 12 12 12 12 13 14 15 15 15 15 15 15 14 14 13 14 14 15 15 14 14 13 13 13 14 15 15 15 15 15 14 14 13 12 12 12 12 12 13 13 13 13 12 11 10 9 9 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 9 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 12 12 12 12 12 13 14 16 18 19 19 18 15 13 9 5 1 0 3 6 10 13 14 13 12 12 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 9 10 11 12 13 13 14 15 15 15 14 14 13 11 10 9 6 4 3 3 4 6 7 9 9 10 11 11 11 10 10 10 10 10 11 11 12 12 12 13 14 17 22 26 31 34 35 34 31 27 22 17 13 12 12 12 13 14 14 14 14 14 14 14 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 12 13 14 15 16 17 18 18 18 17 15 13 12 11 11 11 12 12 12 11 12 13 13 14 15 15 15 15 15 15 15 16 16 16 16 15 13 12 11 11 11 10 10 9 9 10 10 11 11 11 12 12 13 14 14 14 14 14 13 13 12 12 12 12 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 13 13 14 15 16 16 16 14 14 13 13 13 13 13 13 13 12 13 13 14 14 14 14 14 13 13 13 13 13 13 13 13 13 12 12 12 11 11 12 12 12 13 13 13 14 nan
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nan 15 15 16 15 15 14 14 13 12 12 12 13 13 12 11 9 8 8 8 8 9 10 11 12 14 14 13 12 12 11 11 12 12 13 13 13 12 11 10 9 9 10 11 11 11 11 11 11 11 12 12 13 13 13 13 13 12 11 11 12 12 13 14 14 14 14 14 13 11 10 9 8 8 8 9 9 9 10 10 11 12 12 12 11 10 10 9 9 9 9 9 10 11 12 13 14 13 13 13 12 12 13 13 14 14 15 16 16 16 15 15 14 13 12 11 11 11 11 11 12 12 11 11 11 12 13 13 14 14 14 13 13 13 13 13 13 13 14 14 14 14 15 16 17 17 17 17 16 15 14 14 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 12 12 12 11 11 11 10 10 11 11 12 12 12 11 11 11 11 11 11 10 10 11 11 11 11 12 13 13 15 15 15 14 12 11 10 9 9 9 10 10 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 11 11 12 12 12 12 11 11 10 10 9 9 9 10 11 12 12 12 11 11 10 10 10 11 11 11 11 12 15 17 19 20 19 17 15 13 13 12 12 11 11 11 11 12 12 12 12 11 11 11 11 11 12 12 12 12 11 11 12 12 13 13 13 13 13 13 12 12 12 11 11 12 12 12 13 13 13 12 12 11 11 11 10 11 11 11 10 8 4 1 -1 -1 -0 2 4 6 8 10 11 12 12 12 12 12 12 11 11 10 10 10 11 11 11 12 12 13 15 18 23 29 32 35 36 35 31 25 21 16 12 11 12 12 13 13 13 13 13 13 13 13 13 13 12 12 13 13 12 13 13 13 13 12 12 12 12 12 12 12 13 13 14 14 14 14 14 14 14 15 16 16 16 16 15 14 14 14 14 15 15 14 14 14 14 14 14 13 13 13 13 12 12 12 12 12 11 11 11 11 11 12 12 11 11 11 10 10 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 12 12 12 11 11 11 11 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 11 12 12 12 13 13 14 14 14 14 15 15 15 14 13 12 11 12 12 13 13 13 12 11 10 10 11 11 12 12 13 13 13 13 13 13 13 14 14 14 14 14 13 13 12 12 11 11 11 11 11 11 11 nan
nan 15 16 16 16 15 14 14 14 14 14 14 15 14 14 13 11 10 9 9 9 9 10 11 13 15 15 14 13 12 12 11 11 11 12 12 12 11 10 9 9 9 10 11 11 10 10 10 10 11 12 13 13 13 13 12 12 11 10 10 11 12 14 16 16 16 15 14 13 12 11 10 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 10 10 12 13 13 12 12 11 10 10 11 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 15 16 16 16 15 15 14 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 11 12 12 12 12 12 12 12 12 11 11 10 10 11 11 12 12 12 12 13 15 16 14 13 11 10 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 11 10 9 8 8 9 10 11 12 12 11 11 11 11 11 12 13 13 13 12 12 13 14 15 15 15 15 14 15 15 15 14 14 13 12 12 12 12 12 12 12 12 13 13 13 13 13 12 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 13 14 14 13 13 13 13 12 11 11 10 10 9 9 8 8 7 5 3 1 1 2 4 6 9 10 12 12 13 13 13 13 13 12 12 11 11 10 10 10 10 11 11 12 12 13 14 17 22 28 32 35 37 35 32 27 22 17 13 11 12 12 13 13 13 13 13 13 13 12 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 14 14 14 13 13 13 14 14 14 15 15 15 15 14 14 14 14 14 14 14 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 14 14 15 16 16 16 16 15 14 13 13 14 14 15 14 14 13 12 12 12 13 13 13 13 13 13 14 14 14 14 14 15 15 15 14 14 13 13 12 12 12 12 12 12 11 11 nan
nan 15 15 15 14 13 13 13 14 16 16 16 16 15 14 13 12 11 10 10 10 10 11 12 14 15 14 14 13 12 12 11 11 11 11 11 11 10 9 8 8 9 10 10 10 9 9 9 10 11 12 13 13 12 11 11 10 9 9 9 10 12 13 15 16 16 16 16 15 14 13 13 12 11 11 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 12 12 11 11 10 10 11 12 13 13 13 13 12 12 11 12 12 13 14 15 15 15 15 15 14 14 13 12 11 11 11 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 13 13 14 14 14 14 14 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 11 10 10 9 10 10 11 12 13 13 12 12 11 11 11 11 11 11 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 11 10 10 11 11 11 9 6 5 5 9 12 12 13 12 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 11 11 11 11 10 11 11 12 12 12 11 10 10 9 9 11 13 13 13 12 11 10 9 10 11 12 14 15 15 15 15 15 14 14 13 12 11 11 12 12 13 14 14 15 14 13 13 12 12 12 12 13 13 14 14 14 14 14 13 12 11 11 10 10 11 11 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 11 10 8 7 6 5 4 3 3 2 2 2 3 5 8 10 12 13 13 14 14 14 14 13 13 13 12 11 11 10 10 10 10 10 11 11 12 12 13 16 21 26 32 35 37 36 33 29 23 18 14 11 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 13 13 13 13 13 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 14 14 14 14 14 15 15 15 14 14 14 14 14 14 14 14 13 13 13 12 12 11 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 12 12 11 11 11 10 11 11 11 11 11 11 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 14 15 16 17 17 16 15 15 14 15 15 16 16 16 15 15 14 14 13 13 13 13 13 13 14 14 14 14 15 15 15 15 14 14 13 13 13 13 13 13 13 13 12 12 nan
nan 15 15 14 13 13 13 14 15 17 17 17 17 15 14 13 12 11 11 10 10 10 11 12 13 13 13 13 13 12 12 11 11 10 10 10 10 9 8 8 8 9 9 9 9 8 9 9 10 11 11 12 11 10 10 9 9 8 8 9 10 11 13 14 15 15 16 16 16 16 16 15 15 13 12 12 11 11 12 13 14 14 14 14 13 13 14 14 14 14 14 14 14 13 12 11 11 11 11 11 11 12 13 14 15 15 13 12 12 11 11 12 14 15 17 17 17 16 15 14 13 12 11 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 13 14 14 14 14 13 12 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 9 9 10 10 11 11 11 12 12 12 12 12 11 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 10 7 3 -1 -3 -2 3 9 12 15 15 13 13 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 11 11 10 10 10 10 10 10 10 9 10 10 11 12 12 11 10 10 11 13 15 16 15 14 13 12 11 11 12 12 13 14 15 16 16 16 16 15 14 12 10 9 8 8 9 10 11 11 11 12 12 12 12 12 13 13 13 14 14 15 15 14 14 13 12 10 9 7 7 8 9 10 11 12 12 13 13 13 13 12 12 11 10 10 9 8 7 5 4 3 2 2 3 3 4 5 6 8 10 12 13 14 15 15 15 15 15 14 14 13 13 12 11 10 10 9 9 9 10 10 11 11 12 13 15 20 25 31 35 37 37 34 30 25 19 15 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 11 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 15 15 15 15 14 14 14 14 14 14 15 15 15 15 15 14 13 12 11 12 11 11 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 10 10 11 11 11 11 12 12 12 12 12 12 12 13 13 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 13 14 15 15 15 14 14 13 14 14 15 16 16 15 14 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 13 14 14 14 14 13 13 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
8 7 5 8 11 13 11 8 4 4 6 7 5 6 8 10 11 14 16 18 19 20 22 24 23 22 22 23 26 41 76 130 210 310 420 516 581 574 511 434 386 377 419 453 500 551 546 545 542 518 457 368 295 269 283 319 379 460 550 654 748 807 766 589 375 212 105 55 42 58 43 37 41 48 49 41 36 36 37 35 32 28 29 39 34 22 20 39 8 14 2 23 15 17 19 24 29 40 40 48 59 64 70 77 88 98 103 105 105 104 97 89 82 68 59 58 57 61 65 74 82 81 65 22 4 0 2 9 4 0 1 13 44 79 113 144 148 152 194 298 418 468 482 482 531 556 602 598 597 590 731 776 853 950 919 875 872 890 1021 1118 1167 1238 1265 1248 1268 1277 1282 1306 1308 1277 1226 1213 1228 1238 1221 1198 1171 1161 1164 1177 1247 1296 1247 1241 1157 1206 1283 1371 1420 1453 1462 1509 1515 1560 1591 1565 1528 1623 1742 1325 737 618 754 801 697 570 696 1113 1457 1491 1990 2353 2307 1895 1917 2291 2256 2013 1813 1732 1688 1629 1606 1588 1456 1190 762 431 598 596 507 397 368 322 213 227 173 51 73 206 274 208 90 12 0 0 0 0 0 0 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 1 3 21 96 326 752 1162 1413 1627 1634 1399 1374 1404 1413 1429 1458 1466 1187 811 722 738 792 766 718 626 547 515 455 446 430 289 233 170 121 106 181 116 63 58 65 77 61 37 15 25 186 312 377 549 667 736 778 783 759 685 524 282 78 189 213 183 163 200 274 327 433 519 477 405 297 299 355 428 401 318 307 374 386 374 397 536 701 802 837 726 511 386 369 318 229 229 243 217 197 254 420 569 665 825 921 1095 1308 1428 1376 1371 1404 1815 1941 1656 1224 1048 1181 1254 1288 1369 1412 1389 1356 1315 1275 1259 1240 1219 1233 1252 1228 1168 1126 1120 1123 1138 1216 1293 1205 1428 1757 1632 1824 1960 1924 1934 2003 2060 1961 1705 1399 1213 1138 1116 1072 946 799 728 708 691 677 657 609 536 461 408 381 370 344 304 251 206 176 117 44 20 0 0 2 3 6 7 5 1 0 1 20 23 26 16 12 17 7 8 14 15 17 8 47 138 176 230 303 353 504 621 860 1198 1445 1540 1530 1472 1498 1461 1413 1314 1228 1207 1137 1091 1084 1055 1013 965 935 934 956 984 936 888 830 769 703 686 666 617 605 612 604 651 691 746 819 851 895 951 948 952 969 944 895 871 859 837 828 831 843 842 804 812 851 844 805 799 791 777 759 746 737 736 735 740 777 813 820 818 831 822 794 783 774 781 766 734 713 739 827 1051
8 7 5 4 6 10 12 16 16 10 8 9 9 8 7 7 6 7 10 11 13 17 18 20 21 21 20 20 21 25 32 63 118 189 280 379 485 553 550 488 408 363 373 394 431 479 498 523 535 512 449 347 266 230 246 289 343 420 497 558 609 662 695 639 485 293 162 117 104 92 68 48 38 47 59 57 43 36 34 33 30 28 27 35 37 23 21 25 16 14 10 25 19 22 23 29 35 45 43 55 65 70 76 81 85 90 94 95 96 92 79 67 61 51 38 32 34 37 43 50 51 52 9 0 0 0 0 0 0 0 0 1 4 7 9 49 149 198 176 215 291 343 380 403 432 414 528 639 758 761 789 775 752 822 822 902 945 911 1042 1098 1060 1078 1111 1118 1172 1228 1265 1306 1313 1275 1229 1209 1223 1238 1223 1180 1120 1108 1114 1130 1167 1209 1227 1359 1177 1181 1250 1327 1382 1363 1409 1476 1496 1529 1571 1531 1502 1566 1252 606 294 362 473 491 414 337 390 597 783 861 1271 1755 1852 1385 1226 1549 1634 1458 1261 1266 1305 1256 1176 1097 1041 828 601 301 297 544 549 306 167 159 88 160 207 83 26 98 163 149 70 8 0 0 0 0 0 0 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 6 37 126 271 557 940 1234 1449 1580 1553 1474 1432 1419 1384 1357 1401 1446 1346 1023 817 698 712 716 657 590 521 473 389 384 407 232 182 128 83 61 98 85 57 38 28 36 40 39 29 30 129 261 360 491 611 685 734 757 750 700 589 363 127 193 257 270 266 274 320 395 533 651 612 453 327 299 382 411 347 279 257 267 278 246 204 246 422 626 836 845 563 391 347 267 185 178 181 145 126 173 330 426 559 670 783 988 1338 1503 1470 1448 1491 1757 1906 1667 1276 978 1097 1235 1251 1285 1323 1316 1303 1276 1245 1234 1229 1227 1227 1243 1231 1164 1117 1106 1118 1138 1258 1227 1191 1624 1733 1764 1980 2045 2010 2184 2208 2091 1879 1536 1195 1098 1129 1074 906 731 621 580 582 586 577 560 516 457 402 367 364 348 332 308 262 218 195 154 115 87 34 10 1 0 0 0 0 0 2 2 2 2 3 1 0 0 0 0 0 0 1 1 3 21 78 110 122 127 253 424 681 973 1249 1448 1554 1554 1450 1395 1370 1300 1227 1223 1215 1185 1161 1128 1056 964 868 831 807 821 824 744 766 775 766 761 740 706 679 710 731 820 945 1038 1084 1132 1204 1226 1156 1082 1044 1015 980 991 974 940 901 880 870 858 848 870 891 896 898 880 837 802 788 790 796 777 748 743 784 801 798 802 824 840 825 790 758 734 685 678 705 725 771 949
7 6 6 5 4 4 6 9 14 14 8 11 13 15 11 8 7 7 9 8 9 13 17 18 20 20 21 21 19 20 24 35 60 106 172 247 355 465 524 525 478 408 365 350 357 384 434 491 524 509 470 393 295 227 224 271 315 373 455 511 537 551 576 588 536 410 274 194 150 118 104 99 79 55 66 76 63 46 36 33 31 32 31 39 35 24 20 22 22 18 19 28 25 27 29 34 40 49 50 61 67 70 74 79 80 78 77 74 71 70 63 52 40 26 12 9 16 20 25 26 19 23 0 0 0 0 0 0 0 0 0 0 0 0 0 19 85 154 159 153 189 232 259 293 334 350 390 411 520 571 613 609 596 653 713 810 891 928 1016 1045 1013 1017 1069 1089 1169 1249 1306 1332 1328 1297 1247 1210 1201 1205 1199 1168 1129 1111 1111 1132 1162 1206 1214 1184 1099 1157 1215 1281 1382 1325 1366 1428 1453 1490 1539 1448 1436 1465 1031 371 132 156 187 183 150 116 124 249 429 520 564 763 1081 1017 823 898 902 714 610 590 664 695 673 542 501 456 366 191 147 330 149 34 13 31 16 63 216 104 4 42 160 280 211 53 0 0 0 0 0 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 20 59 194 356 552 827 1053 1228 1450 1575 1536 1516 1529 1501 1457 1410 1380 1370 1278 999 734 597 618 621 577 550 496 419 318 286 307 194 125 92 62 40 32 48 51 40 27 19 17 27 44 60 90 193 354 480 576 635 681 718 719 672 577 390 175 175 256 314 382 403 413 468 582 698 658 463 360 365 416 378 272 215 155 95 129 127 70 51 130 296 632 838 622 455 333 227 167 135 130 117 112 151 224 265 354 503 667 890 1242 1620 1747 1464 1334 1617 1883 1785 1411 1007 1002 1163 1230 1253 1261 1250 1241 1233 1213 1185 1174 1160 1139 1151 1199 1179 1137 1102 1109 1141 1290 1249 1320 1796 1790 1831 1954 2136 2163 2266 2170 1925 1588 1242 1031 998 1008 883 694 573 515 490 484 479 457 426 387 344 334 331 340 293 310 284 257 217 187 169 132 142 154 66 11 0 0 0 0 1 3 3 2 1 0 0 0 0 0 0 0 0 6 7 12 28 45 78 103 146 184 306 511 746 1014 1285 1466 1476 1425 1375 1346 1310 1197 1158 1174 1177 1171 1134 1114 1028 956 894 838 840 800 716 722 797 818 814 804 791 819 867 949 1070 1178 1219 1244 1321 1395 1404 1285 1158 1083 1056 1058 1088 1089 1057 998 940 894 867 868 890 936 966 955 909 860 836 823 833 852 831 771 734 754 767 770 760 785 825 826 773 711 679 666 673 693 745 779 879
6 6 7 6 5 4 2 0 0 4 5 6 8 12 13 13 14 11 7 9 8 10 14 16 17 18 20 21 20 19 21 25 34 56 96 149 233 335 426 479 495 450 393 347 322 332 384 472 524 506 480 436 360 277 243 276 301 320 394 459 485 484 487 496 500 464 360 246 186 150 133 128 118 93 94 97 93 79 70 56 49 47 38 39 33 26 23 28 28 23 29 34 32 33 37 41 47 54 58 65 67 68 71 72 66 61 60 60 58 53 47 38 22 8 1 1 2 5 9 12 10 2 0 0 0 0 0 0 0 0 0 30 68 36 4 1 2 67 125 126 133 157 172 195 219 284 333 311 327 335 362 384 391 457 548 605 662 772 868 924 967 1021 1072 1113 1186 1264 1309 1330 1326 1302 1262 1228 1220 1221 1203 1167 1147 1175 1233 1236 1195 1201 1236 1271 1169 1111 1164 1217 1286 1292 1299 1362 1380 1429 1483 1420 1464 1448 735 219 55 27 29 28 22 16 15 83 158 177 229 416 643 667 543 423 331 240 202 156 165 180 195 121 94 123 122 59 40 23 4 1 0 2 1 11 62 31 0 64 252 405 284 71 0 0 0 0 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 38 92 290 533 705 945 1114 1140 1247 1428 1580 1603 1519 1567 1541 1489 1464 1349 1231 1051 822 600 574 554 530 488 450 397 323 234 189 192 139 86 65 45 28 17 21 31 37 31 19 15 20 39 74 111 184 309 428 529 609 659 694 689 642 540 353 144 160 242 345 463 529 539 553 647 740 719 517 420 417 424 407 273 206 153 65 35 31 20 19 41 110 297 584 703 561 299 199 175 125 121 112 111 133 158 184 282 409 619 789 1161 1770 2236 1822 1251 1246 1595 1738 1517 1138 960 1031 1154 1234 1276 1264 1230 1235 1238 1216 1150 1114 1108 1119 1134 1143 1134 1083 1087 1208 1391 1270 1353 1517 1607 1831 1928 2101 2117 2064 1894 1562 1266 1093 939 871 837 707 565 485 433 398 379 350 301 284 297 307 328 293 268 262 251 243 232 201 160 147 119 137 168 113 32 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 5 21 35 59 89 130 198 233 301 408 545 758 1029 1306 1515 1573 1470 1387 1378 1305 1237 1255 1184 1172 1155 1149 1088 1042 1006 975 942 897 884 913 935 926 920 930 943 1002 1091 1238 1356 1382 1339 1320 1342 1353 1384 1320 1215 1127 1081 1084 1115 1159 1162 1104 1024 965 930 930 955 993 998 949 899 889 884 887 910 931 914 840 750 698 722 737 738 760 797 810 756 683 663 694 712 700 756 798 857
7 8 7 6 5 5 4 1 0 0 1 1 1 3 6 10 16 18 10 8 8 9 11 13 12 15 18 21 23 23 22 22 25 32 53 94 141 210 300 356 409 422 399 350 310 297 339 434 500 515 504 477 421 341 289 277 267 260 314 379 416 430 436 422 427 437 431 332 233 188 169 161 155 135 120 121 122 113 99 85 73 60 44 40 36 34 47 39 35 29 29 41 42 43 46 47 48 55 63 65 64 63 63 61 53 47 44 46 50 43 39 25 8 1 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 5 20 17 0 0 0 46 109 116 111 116 122 150 171 199 253 338 350 296 274 298 331 381 437 496 569 657 738 817 894 971 1033 1070 1134 1200 1263 1292 1314 1303 1275 1240 1240 1245 1229 1213 1240 1283 1287 1238 1187 1179 1167 1151 1129 1092 1109 1143 1170 1160 1202 1263 1274 1356 1372 1384 1435 1441 1125 471 100 12 1 0 0 0 0 13 16 5 7 80 160 144 121 106 90 71 69 51 45 13 9 0 1 8 14 5 0 0 5 5 9 7 1 1 0 0 0 49 174 216 110 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 52 152 344 703 942 1046 1195 1278 1272 1314 1368 1546 1648 1474 1495 1446 1350 1301 1159 987 804 704 551 568 513 471 412 339 260 208 156 127 117 83 57 45 33 26 18 12 14 23 24 21 22 25 36 56 111 201 283 368 480 578 680 731 692 595 527 355 96 200 237 372 498 622 684 706 780 854 864 689 560 534 491 436 329 251 191 105 37 16 17 19 35 70 151 382 642 616 292 133 141 135 131 126 134 122 137 152 205 324 570 718 1100 1811 2499 2308 1500 981 1143 1516 1580 1306 1000 938 1076 1185 1251 1283 1256 1229 1209 1213 1198 1130 1102 1113 1071 1046 1060 1041 1084 1237 1374 1169 1248 1247 1447 1671 1753 1841 1814 1693 1642 1327 970 944 821 732 683 591 492 411 350 306 267 226 184 202 239 243 209 187 180 165 162 172 166 145 123 119 119 134 146 115 47 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 15 30 37 50 78 130 180 211 258 313 390 526 726 1019 1340 1602 1587 1472 1513 1543 1417 1442 1322 1288 1266 1200 1146 1117 1108 1098 1085 1086 1092 1093 1095 1095 1135 1208 1299 1398 1502 1553 1590 1553 1433 1286 1202 1195 1253 1251 1177 1111 1080 1083 1135 1215 1267 1250 1172 1103 1063 1034 1003 999 972 949 941 928 930 954 978 981 961 928 858 779 741 733 742 749 761 791 755 707 723 744 747 731 740 859 891
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