Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 10 11 11 10 9 8 8 8 9 10 10 10 9 9 8 8 9 10 10 11 11 12 11 10 8 8 8 9 12 13 12 10 8 6 5 6 7 8 8 8 8 9 9 10 9 9 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 10 10 10 11 12 12 12 11 10 10 10 10 9 9 9 9 9 10 10 9 7 6 5 6 7 7 8 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 13 15 15 14 12 10 8 9 11 12 12 11 10 10 9 9 8 8 9 10 11 11 11 11 11 10 8 7 8 9 11 13 16 21 nan
nan 7 8 9 10 11 10 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 11 11 10 9 9 8 8 9 10 10 10 9 8 8 9 10 10 10 11 11 11 11 11 9 8 9 11 11 10 9 7 5 5 6 7 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 10 10 9 8 8 8 8 9 9 9 10 10 11 12 12 12 11 11 11 11 11 11 10 10 10 11 11 11 10 9 8 6 6 6 6 7 8 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 9 9 10 10 10 10 10 10 12 15 15 13 10 8 7 9 11 12 12 11 9 9 8 8 9 9 9 10 10 9 10 10 10 9 8 8 9 9 10 11 14 19 nan
nan 7 9 10 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 9 9 8 8 8 8 9 9 10 10 10 11 10 10 9 9 9 9 9 9 9 8 8 9 9 10 9 10 10 11 12 11 10 8 8 9 10 9 8 7 5 5 5 6 7 8 8 9 10 10 9 8 8 8 8 8 9 9 9 9 10 9 8 8 8 8 8 9 9 9 10 10 10 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 10 10 11 10 10 10 11 13 13 13 10 7 8 9 11 12 12 10 10 9 9 9 9 9 10 9 8 8 9 9 10 9 9 9 9 9 10 11 12 17 nan
nan 9 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 10 10 11 11 10 10 9 9 9 9 8 8 8 8 9 9 9 10 10 11 11 10 10 10 9 9 9 9 9 8 6 5 5 6 7 8 9 10 10 10 10 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 12 11 11 11 11 11 10 9 9 9 10 10 9 8 8 8 8 8 8 8 8 7 7 8 8 7 6 7 8 9 9 8 7 7 7 8 9 9 9 9 10 11 11 10 10 10 11 12 11 10 8 8 10 11 12 12 11 11 10 10 10 10 10 10 9 7 7 8 9 10 9 9 9 10 10 11 11 11 14 nan
nan 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 7 6 7 7 8 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 11 11 10 10 9 8 8 7 7 7 8 9 10 10 10 10 10 11 11 11 10 10 10 10 10 8 7 6 6 7 8 9 10 11 11 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 11 11 11 11 11 10 9 9 9 10 11 10 9 8 8 9 9 9 9 8 7 7 8 8 8 7 6 7 8 9 9 8 7 7 7 8 9 9 10 10 10 11 11 10 10 11 11 11 10 10 9 10 11 12 12 11 11 11 11 11 11 11 10 8 6 7 8 9 10 9 9 10 10 11 11 11 11 13 nan
nan 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 9 9 8 7 7 8 8 9 9 9 9 8 8 8 8 9 10 11 11 11 10 9 8 8 7 7 7 8 9 9 9 9 10 10 11 12 12 11 11 10 10 10 9 8 7 7 8 8 9 10 10 10 10 10 9 9 9 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 12 12 12 11 11 11 11 10 9 8 8 9 10 10 9 8 8 9 10 10 10 9 8 7 8 9 10 9 8 8 8 9 10 10 9 7 7 7 8 9 10 10 10 10 10 10 10 11 11 11 10 9 8 9 9 10 10 11 12 12 12 13 12 11 9 7 7 8 10 10 9 9 9 10 11 11 11 11 12 13 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 8 7 7 7 8 9 9 9 9 9 8 8 8 9 9 9 10 11 11 10 9 9 8 8 8 8 9 9 9 9 9 9 10 11 11 11 11 11 10 10 9 9 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 8 9 9 9 9 9 10 10 10 10 9 9 8 8 9 9 9 9 8 9 9 9 9 9 10 10 10 11 12 12 11 11 11 10 10 9 8 7 7 8 9 10 9 7 7 8 9 10 11 11 9 8 9 10 11 11 10 9 8 8 10 11 10 9 7 7 8 9 9 9 9 10 10 10 9 10 10 11 10 9 7 7 7 8 8 9 11 12 13 12 11 9 8 8 9 10 11 9 9 8 9 10 10 11 11 12 12 14 nan
nan 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 9 9 9 8 8 8 8 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 8 9 10 10 11 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 11 11 11 11 10 10 10 9 9 8 7 7 8 9 10 9 7 6 7 8 9 10 10 9 9 9 9 11 11 10 9 8 8 9 10 10 10 9 8 8 8 8 8 9 10 10 10 10 10 10 10 10 9 7 7 7 7 8 9 10 11 11 10 9 8 8 9 11 11 10 9 9 8 9 9 10 11 11 11 12 14 nan
nan 9 9 9 9 9 9 9 9 10 9 9 10 11 11 11 9 8 8 8 9 9 8 8 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 9 10 10 11 11 9 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 11 10 10 10 10 9 9 8 7 7 8 9 10 9 8 7 6 7 8 8 8 8 7 8 8 9 10 10 10 9 8 8 8 9 10 9 9 8 8 8 8 9 10 11 11 11 11 11 10 9 8 8 8 8 8 9 10 9 9 8 7 7 7 8 9 10 11 11 10 10 9 10 10 10 10 10 10 12 14 nan
nan 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 8 7 8 8 9 9 9 9 10 10 10 9 8 8 9 9 9 9 10 10 10 10 10 10 9 8 8 8 8 10 10 10 9 7 6 7 8 8 8 8 7 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 8 8 7 7 7 8 8 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 8 8 7 8 9 10 10 9 8 7 7 7 7 7 6 5 6 7 8 9 9 9 9 8 8 7 8 8 9 9 8 8 8 9 10 10 10 12 12 12 12 11 9 9 9 9 10 10 11 10 8 7 7 6 6 6 7 8 9 10 10 11 11 11 11 11 10 9 9 10 12 13 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 11 10 9 8 8 8 9 9 9 10 11 10 10 10 9 9 9 9 9 8 9 10 10 10 10 10 9 8 8 8 9 10 10 10 9 7 6 5 7 8 9 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 10 10 10 9 8 8 8 8 8 7 6 5 5 5 6 7 8 8 8 8 7 8 8 8 8 8 8 8 9 10 10 9 10 11 11 12 12 11 10 10 10 11 11 13 12 9 7 6 6 7 7 7 7 8 8 8 9 10 10 11 11 10 9 8 9 10 11 12 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 9 8 6 5 5 7 9 9 9 8 7 7 7 8 8 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 9 9 9 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 9 8 8 8 8 8 8 7 6 5 5 6 7 8 8 8 9 9 9 9 8 8 8 8 9 9 9 8 9 10 11 12 12 12 11 11 11 11 13 14 12 8 6 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 10 11 11 10 nan
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nan 9 9 9 9 9 8 8 7 7 8 10 10 11 11 12 12 13 13 12 11 10 10 9 9 8 7 7 7 8 9 9 10 10 10 9 9 9 10 11 12 12 11 10 10 9 8 7 7 7 7 7 6 7 8 9 9 9 9 8 9 9 10 10 9 9 9 9 9 10 10 10 11 11 11 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 8 8 9 9 9 10 10 11 10 10 10 11 11 10 8 7 7 8 10 11 11 11 11 11 11 10 10 10 11 11 10 10 9 10 10 11 11 11 11 11 10 10 9 9 8 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 9 nan
nan 9 9 9 9 8 8 7 7 8 10 11 12 12 12 12 12 12 11 10 10 10 9 9 8 7 7 8 9 10 10 10 10 10 9 9 9 9 11 11 11 11 11 10 10 9 9 8 8 8 7 6 6 6 8 9 9 9 8 9 9 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 11 11 12 12 11 11 11 11 11 11 10 10 10 9 9 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 7 6 5 5 6 6 5 5 5 7 9 10 10 11 11 10 10 10 10 10 10 8 7 7 8 9 10 10 11 11 11 11 10 10 10 11 11 11 10 10 10 10 10 11 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 9 nan
nan 9 9 9 9 8 7 7 8 10 11 12 12 12 11 11 11 10 10 10 10 10 9 8 7 6 8 9 10 10 10 10 10 10 9 9 9 10 10 11 11 11 10 10 10 10 10 9 8 8 7 6 5 6 7 8 9 8 8 9 9 10 10 10 9 9 9 10 10 10 10 10 9 9 10 11 12 12 12 12 12 12 13 13 12 12 11 11 11 11 11 10 10 10 10 9 9 10 10 10 10 10 9 9 9 10 10 9 8 6 5 4 3 1 0 -1 -2 -2 -1 -1 -1 -0 2 5 8 11 12 11 11 11 11 10 10 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 10 9 8 8 8 8 8 8 8 7 7 8 8 nan
nan 9 9 9 8 8 8 8 10 11 12 12 12 11 10 10 10 10 9 10 10 9 8 7 6 7 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 9 9 8 7 6 4 5 7 8 9 9 8 8 9 9 10 10 10 10 10 10 10 9 6 4 3 4 8 11 12 14 14 14 14 14 14 14 13 13 12 12 12 11 11 11 11 11 11 10 10 10 10 11 10 10 9 9 9 9 9 7 4 2 2 2 1 1 1 -0 -2 -3 -4 -4 -5 -5 -4 -2 2 7 10 11 12 12 12 10 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 10 10 11 11 11 11 10 10 9 9 9 9 8 8 8 8 8 9 10 10 9 9 8 8 8 8 8 8 7 6 6 7 nan
nan 9 9 9 8 8 9 10 12 12 13 12 11 10 9 9 9 9 9 9 9 8 7 7 7 8 10 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 8 5 3 4 7 8 9 9 9 9 9 10 10 11 11 11 11 11 9 5 1 -2 -2 2 7 10 13 16 16 16 16 16 15 15 14 14 13 13 13 12 12 12 12 11 11 11 10 10 10 10 10 10 10 9 9 8 7 4 2 2 3 4 5 6 6 6 5 3 1 -1 -3 -5 -6 -7 -6 -2 3 6 9 11 11 9 8 8 7 7 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 10 11 11 12 12 11 10 10 10 10 9 8 7 8 9 10 11 10 10 9 9 9 9 9 8 8 8 7 6 6 6 nan
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nan 9 9 8 9 9 10 11 11 11 10 10 9 8 8 8 8 8 8 8 7 7 8 9 10 10 10 9 9 9 8 8 9 10 10 11 11 10 10 10 10 11 11 11 10 9 9 9 9 8 7 6 4 5 6 7 9 10 9 9 9 9 9 10 10 10 10 7 2 -2 -2 0 4 7 10 12 15 17 17 16 16 15 15 14 14 14 14 14 13 13 12 12 12 11 11 11 10 9 9 8 8 9 9 8 8 8 10 12 15 16 16 16 16 15 15 14 13 11 10 9 8 7 5 1 -2 -5 -7 -8 -7 -6 -4 -1 1 4 5 5 5 5 4 5 6 7 8 8 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 10 8 6 7 10 11 11 10 10 9 9 9 8 8 8 7 7 7 6 6 6 6 7 nan
nan 9 9 9 9 10 10 11 10 10 10 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 8 8 9 9 9 10 10 11 10 10 10 10 10 10 11 11 10 10 9 8 8 7 7 6 6 6 6 7 9 9 9 9 9 9 9 9 9 9 8 5 0 -2 -0 3 6 9 10 11 12 14 16 17 18 16 14 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 10 10 9 9 9 8 8 9 12 16 20 22 22 22 21 21 20 18 16 14 12 11 10 10 9 8 7 5 3 -1 -3 -5 -7 -7 -6 -4 -1 2 4 6 4 4 5 6 6 6 6 8 8 9 9 9 10 10 10 11 12 12 12 11 10 10 11 11 10 8 5 6 9 12 13 11 10 9 9 9 8 8 7 7 6 6 6 6 6 6 6 7 nan
nan 9 9 9 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 10 10 10 9 9 9 8 9 9 9 10 10 10 10 10 11 11 10 10 10 10 10 11 11 11 10 10 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 8 9 8 7 3 -1 -1 2 5 8 9 10 10 10 12 15 18 19 17 14 12 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 10 9 9 8 8 8 10 12 15 18 20 20 20 19 18 19 19 19 18 17 15 14 12 11 11 11 11 11 9 6 3 -0 -3 -6 -8 -7 -5 -2 1 3 3 4 5 5 5 4 5 7 8 9 10 10 10 10 11 12 13 13 12 11 10 9 8 7 6 6 8 11 13 12 11 9 9 9 9 9 8 7 7 7 8 8 8 7 6 7 8 nan
nan 8 9 10 10 10 10 10 9 9 8 8 8 9 9 9 10 10 10 10 9 9 9 8 9 9 9 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 11 11 11 11 10 9 8 7 8 9 10 9 9 8 8 8 8 9 9 9 9 9 9 9 6 1 -1 0 3 6 8 9 10 10 10 11 14 17 19 17 14 13 12 12 12 11 11 12 12 12 12 12 11 11 11 10 10 9 9 8 8 8 9 10 12 14 15 15 14 13 11 10 11 14 18 21 22 20 18 16 13 12 12 12 13 12 11 10 8 5 1 -4 -7 -9 -8 -7 -4 -2 1 4 5 5 4 4 5 6 8 9 10 10 10 10 11 11 12 13 12 10 8 7 7 8 9 9 11 12 12 11 9 9 10 11 10 9 9 9 10 10 10 8 7 7 8 9 nan
nan 8 9 9 10 10 10 10 9 9 8 8 9 9 10 10 9 9 9 9 8 8 8 8 9 9 10 10 11 11 10 10 10 10 11 11 10 10 9 9 9 9 10 10 11 11 10 9 9 8 9 10 10 10 9 8 8 8 8 9 9 9 9 9 9 8 4 -0 -1 1 4 7 9 9 9 10 10 10 12 16 18 18 16 14 13 12 12 11 12 12 12 11 11 11 10 10 10 9 9 9 9 8 8 9 10 11 12 13 13 12 11 8 5 3 5 8 13 17 20 21 22 20 17 15 14 13 13 13 13 12 12 11 8 4 -0 -5 -8 -10 -9 -8 -5 -2 2 4 5 5 4 4 6 7 8 10 10 9 9 10 12 14 13 10 8 8 9 11 11 10 11 11 11 10 10 10 11 12 11 10 10 11 11 10 8 7 7 8 8 9 nan
nan 8 8 9 10 10 10 10 9 9 9 9 10 10 9 9 9 8 8 8 7 8 8 9 9 10 10 10 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 10 10 11 11 10 9 8 8 8 8 9 9 9 10 10 8 3 -0 0 2 5 7 8 8 9 10 10 10 11 14 17 19 18 15 13 12 12 12 12 12 12 11 10 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 12 12 10 8 7 6 7 9 10 12 15 18 21 22 22 20 18 17 15 15 14 14 14 14 13 11 8 4 -0 -4 -7 -9 -10 -8 -4 -1 3 5 4 4 4 5 6 8 8 8 8 10 13 14 13 11 10 10 12 12 12 12 11 11 11 11 11 11 10 9 9 9 10 9 8 6 5 5 6 7 9 10 nan
nan 8 8 9 9 10 10 9 9 9 9 9 9 9 9 8 8 8 7 7 8 8 9 9 10 10 10 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 11 11 11 10 8 7 7 8 8 9 9 10 10 8 4 1 1 3 6 7 8 8 8 9 10 10 10 12 15 19 19 16 13 11 12 12 12 12 11 10 9 9 9 10 10 10 10 11 11 11 11 12 12 12 12 12 11 11 12 13 15 16 16 15 12 11 12 13 16 19 23 24 24 23 22 21 21 20 19 20 20 20 17 13 9 5 1 -3 -7 -9 -8 -7 -3 2 4 5 5 4 5 6 7 7 8 11 12 12 11 11 11 12 13 13 12 12 12 12 12 11 10 8 7 7 9 10 10 8 6 5 5 6 7 9 10 11 nan
nan 9 8 9 9 10 10 9 9 9 9 9 9 8 8 8 7 7 7 8 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 10 10 11 11 11 10 9 8 7 7 8 9 9 10 10 8 5 1 -0 2 5 7 7 7 8 9 10 9 10 11 14 18 18 16 13 11 11 12 11 10 10 10 10 10 10 10 11 11 11 12 11 11 11 11 11 11 11 10 10 10 12 15 18 19 18 16 13 12 11 11 12 15 18 22 25 26 26 26 26 26 25 25 26 26 25 22 18 14 11 7 2 -2 -5 -7 -7 -4 0 4 6 6 6 6 7 7 9 10 10 10 10 12 14 14 13 12 12 11 11 11 10 8 6 4 6 9 12 13 11 9 7 6 7 8 10 12 13 12 nan
nan 9 9 8 8 9 10 10 10 10 9 9 8 8 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 11 11 11 10 9 8 8 8 8 9 9 10 10 8 3 -1 -1 2 5 7 7 8 8 9 9 9 9 10 14 19 19 17 15 13 12 12 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 10 11 13 14 14 13 12 11 10 10 10 11 12 13 16 18 21 22 22 23 23 23 22 23 25 27 28 27 24 21 19 16 12 6 1 -4 -4 -1 3 6 7 7 7 7 8 9 9 9 9 11 14 16 15 14 13 12 10 10 9 8 6 4 5 8 12 14 12 10 8 8 8 9 11 13 14 14 13 nan
nan 10 9 8 8 9 9 10 10 10 9 8 8 7 7 8 8 8 9 9 10 10 10 10 9 9 10 10 10 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 9 9 8 8 8 8 9 9 10 10 7 2 -1 -0 2 5 7 7 8 8 9 9 9 9 11 17 22 22 21 18 14 13 13 12 12 12 12 12 12 11 11 11 10 10 10 11 11 11 11 11 11 10 9 9 9 10 11 10 10 9 8 7 7 8 9 10 11 11 12 13 14 15 15 16 16 16 16 16 18 22 26 28 28 27 26 26 24 20 14 7 2 2 5 7 8 7 6 7 8 9 10 10 11 13 15 16 15 14 12 11 10 9 9 7 5 5 7 11 13 12 10 8 8 8 9 11 13 14 13 12 11 nan
nan 10 9 8 8 9 10 10 10 9 9 8 8 7 8 8 9 9 9 10 10 10 10 9 9 9 10 10 10 9 9 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 11 10 9 8 8 8 8 8 9 9 10 9 6 1 -1 -0 3 6 7 8 8 8 9 9 9 10 14 20 24 25 23 19 15 14 13 13 13 13 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 10 10 9 10 10 10 10 9 7 5 3 3 4 7 9 10 10 10 11 11 11 11 11 11 12 12 12 14 15 19 21 23 25 25 27 27 25 20 14 10 8 9 10 9 8 7 8 9 10 12 12 13 14 15 15 14 13 12 10 10 9 8 6 5 6 9 11 10 10 9 9 9 9 9 10 11 10 9 8 7 nan
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nan 8 7 7 8 9 10 10 9 9 8 7 7 7 8 8 8 8 9 10 10 9 9 9 9 9 10 10 9 9 9 10 10 11 11 10 10 10 9 9 9 10 11 11 12 12 11 11 11 12 13 13 13 12 10 8 8 8 9 9 9 9 10 10 9 4 -1 -3 -2 2 6 8 8 8 8 9 9 11 16 23 28 28 24 19 15 15 15 15 14 13 12 12 12 12 12 12 12 12 12 12 12 12 13 12 11 11 10 10 10 10 9 9 8 8 7 5 3 1 -0 -1 1 3 6 8 9 9 10 10 10 11 11 12 12 13 14 14 15 17 20 20 20 18 16 14 13 12 12 12 12 10 8 7 8 10 12 14 15 16 16 16 14 12 10 9 8 8 7 6 6 5 6 7 9 10 10 10 9 8 7 6 5 5 5 5 5 6 nan
nan 7 6 7 8 9 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 10 10 11 12 12 12 12 12 12 13 13 13 13 11 10 9 9 10 9 9 8 9 10 11 9 4 1 -2 -1 3 6 7 8 8 8 8 10 13 19 26 27 23 18 14 13 15 16 16 14 12 12 12 12 12 13 12 12 12 13 13 13 13 13 13 12 11 11 11 10 9 9 8 8 8 8 7 6 5 3 0 0 2 5 8 9 10 10 11 11 12 13 14 15 16 16 16 17 19 21 22 22 18 13 11 10 10 11 11 10 9 7 6 8 11 14 17 19 20 19 18 16 14 12 10 9 8 8 7 7 8 9 10 10 9 8 9 8 6 5 5 5 5 6 6 6 6 nan
nan 7 6 7 8 10 10 10 9 9 8 8 8 8 8 7 8 8 9 9 8 8 8 8 9 9 8 8 9 8 8 8 9 10 11 11 11 11 10 10 10 11 11 12 12 12 12 12 12 13 13 13 12 11 10 10 10 10 9 8 8 9 10 10 9 6 2 -1 -0 3 5 7 8 8 8 9 10 14 20 25 22 16 12 12 14 15 16 14 12 11 11 11 12 13 13 13 13 13 14 14 14 14 14 13 12 11 10 10 9 9 8 8 8 8 7 7 7 7 6 4 3 4 6 9 11 12 13 13 14 15 16 18 19 19 19 18 19 22 25 28 28 24 17 13 10 10 10 10 8 6 4 6 10 14 19 22 23 23 21 19 17 17 15 14 12 12 12 12 12 12 11 10 9 8 8 9 8 7 6 5 6 6 6 6 6 6 nan
nan 7 7 7 8 10 11 11 10 9 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 11 11 10 10 10 11 11 11 11 11 12 12 12 12 13 12 11 10 10 10 10 10 9 8 8 8 9 9 9 7 4 0 -0 2 5 7 8 8 8 9 11 14 20 22 19 15 13 14 15 15 13 11 9 9 10 12 13 13 13 13 13 13 14 14 14 14 12 11 10 9 9 9 9 8 9 9 8 7 6 6 6 8 8 8 8 9 11 13 15 16 17 18 19 20 20 21 22 22 22 22 22 25 29 33 35 32 28 23 17 13 11 10 9 5 4 7 13 18 22 24 23 22 20 19 18 17 16 15 14 15 16 15 13 10 8 7 7 8 9 9 9 8 7 6 6 6 7 6 6 6 nan
nan 8 7 7 9 11 11 11 10 9 9 9 9 8 8 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 9 10 11 11 11 10 10 10 10 10 10 10 11 10 11 11 11 12 12 12 12 11 10 10 10 10 10 9 9 8 8 8 9 9 8 5 2 0 1 4 6 8 8 8 9 10 14 20 21 19 18 17 16 15 13 10 8 8 9 11 13 14 14 14 13 12 12 13 13 13 12 10 8 7 6 7 8 8 8 9 9 7 5 4 4 6 7 9 11 14 17 19 20 22 22 23 24 24 24 25 25 25 25 25 24 24 25 28 33 37 38 36 32 25 18 15 13 12 10 9 12 16 20 23 22 21 20 18 17 16 15 15 15 15 16 15 11 6 3 2 3 6 8 9 9 8 7 6 6 7 7 7 7 7 7 nan
nan 7 7 8 9 10 11 11 10 9 9 9 9 8 8 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 10 10 10 10 10 10 10 9 9 9 9 8 8 9 7 4 1 1 3 6 8 8 9 9 10 14 19 22 22 21 19 16 13 11 9 8 9 10 12 14 15 16 15 14 13 13 13 13 13 11 9 8 7 6 6 6 7 8 8 7 5 3 2 4 6 9 11 15 21 25 27 28 29 29 30 30 31 30 29 29 28 28 27 26 25 24 25 29 33 36 37 35 29 23 19 17 15 15 16 18 20 22 22 21 19 17 16 14 12 12 14 15 15 14 10 4 -1 -2 0 4 7 9 10 10 7 6 6 7 8 8 7 7 7 7 nan
nan 7 7 8 9 11 11 11 10 10 10 9 9 8 8 7 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 9 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 10 11 12 11 10 10 9 10 10 10 10 10 10 10 10 9 8 9 9 8 5 1 1 3 6 7 8 9 9 10 13 19 22 24 23 19 15 12 11 10 9 10 11 13 14 16 17 17 16 15 15 15 14 13 12 12 11 10 8 6 4 4 4 3 2 -0 -1 1 4 8 11 14 20 27 32 34 36 36 36 36 36 35 34 32 30 29 28 27 26 25 24 24 25 27 30 31 31 28 25 23 20 18 18 18 19 20 20 18 16 14 12 10 8 8 11 15 16 14 10 4 -1 -3 -2 2 6 9 10 9 7 5 5 6 7 8 8 7 7 6 7 nan
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nan 7 8 9 10 11 12 12 11 11 12 12 12 12 11 11 12 12 12 12 12 11 12 12 13 13 13 13 12 11 10 9 10 10 10 10 10 10 9 8 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 11 12 14 14 15 17 20 22 22 22 21 20 18 17 15 14 14 14 15 16 16 16 16 16 16 15 14 14 13 13 13 13 13 13 13 12 12 11 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 13 14 14 13 13 12 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 nan
nan 8 9 10 10 11 11 11 10 10 11 11 11 11 11 12 12 13 13 12 10 10 10 11 12 13 13 12 11 11 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 9 9 8 9 10 10 10 9 9 9 10 12 13 15 18 18 19 19 20 19 18 16 15 14 14 15 16 17 17 16 16 15 14 13 12 12 12 12 12 12 13 13 13 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 10 10 10 9 9 8 8 8 9 nan
nan 10 10 10 10 10 9 8 7 8 9 10 10 10 11 12 13 13 12 10 9 8 10 11 13 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 10 10 12 13 14 15 15 15 15 15 14 14 13 13 12 12 12 13 14 14 14 14 12 12 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 12 12 12 12 11 11 11 11 11 11 11 10 11 11 11 11 11 11 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 9 9 nan
nan 14 13 12 11 10 8 6 6 7 8 9 9 10 10 11 11 11 10 9 8 8 10 11 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 11 12 13 13 13 13 13 13 12 10 10 10 11 11 10 9 9 10 11 11 12 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 12 12 12 11 10 10 10 10 11 11 10 10 10 9 8 8 8 9 9 10 10 11 12 12 12 11 11 11 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 nan
nan 17 17 16 14 12 10 8 7 6 6 7 8 9 9 10 10 10 9 8 8 9 10 11 10 10 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 11 13 14 14 14 13 12 11 10 9 8 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 9 8 8 9 9 10 11 11 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 nan
nan 18 19 19 18 16 13 10 8 7 6 7 7 8 9 10 10 10 9 9 9 9 10 10 10 10 10 9 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 9 9 9 9 9 9 10 11 11 12 13 13 13 12 11 10 9 8 8 8 9 9 9 9 10 10 10 10 10 10 9 10 10 10 11 11 11 10 10 10 10 11 11 10 11 11 11 11 11 12 11 11 11 10 10 11 11 11 11 12 11 10 10 10 9 10 10 10 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 10 11 11 10 10 10 10 10 10 10 10 10 11 10 10 11 11 11 10 10 9 9 9 9 nan
nan 15 17 19 19 17 14 11 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 8 8 7 7 8 9 9 10 11 11 11 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 10 9 9 10 10 11 12 12 11 11 11 11 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 10 nan
nan 12 15 17 18 16 13 11 9 9 9 9 9 9 10 10 9 9 10 10 10 9 9 10 10 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 8 6 5 6 7 8 9 9 10 11 11 11 11 10 10 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 10 11 11 11 10 9 9 8 8 9 10 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 nan
nan 11 14 15 15 14 13 12 11 10 9 8 9 9 10 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 12 13 13 13 13 12 9 6 3 1 3 6 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 9 10 10 10 10 9 8 8 8 8 8 8 9 11 11 11 11 10 10 9 9 9 9 10 11 12 12 12 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 10 10 10 11 12 13 13 12 11 11 11 12 12 12 11 11 11 11 12 12 12 12 12 12 nan
nan 10 11 12 13 14 15 15 14 11 9 9 9 9 10 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 13 15 16 16 16 14 10 5 1 -1 1 5 8 10 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 10 11 12 11 11 11 10 10 9 9 10 11 12 12 12 11 11 10 10 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 10 10 10 10 10 10 11 11 11 12 13 12 12 12 11 11 11 11 12 11 11 10 10 10 10 10 10 10 10 11 12 13 12 12 11 11 12 12 13 12 12 11 12 12 12 12 12 12 12 11 nan
nan 9 10 11 12 14 16 16 14 12 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 13 14 17 18 19 18 16 12 8 3 -1 0 4 7 10 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 10 11 11 12 12 12 12 11 11 10 10 11 12 13 12 11 11 11 11 10 10 9 9 9 9 9 10 11 11 11 10 9 9 9 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 11 12 12 13 13 12 12 12 12 12 12 11 10 10 9 9 10 10 9 10 11 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 nan
nan 10 9 10 11 12 13 13 13 12 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 11 11 11 11 10 10 11 10 10 10 10 10 10 10 11 11 12 13 14 16 19 20 20 18 15 11 5 1 1 4 7 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 11 11 11 11 12 13 12 12 11 11 11 11 11 11 10 9 9 8 9 10 11 11 11 10 9 8 7 6 7 7 8 9 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 11 11 12 12 12 12 12 12 12 12 11 10 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 10 10 10 nan
nan 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 15 18 20 21 21 18 14 8 4 4 5 8 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 12 11 11 11 11 11 11 11 11 10 10 9 9 10 11 11 10 10 8 7 6 6 6 6 7 8 8 9 9 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 11 11 12 12 12 12 12 11 10 9 9 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 10 10 11 nan
nan 11 11 11 11 11 11 11 12 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 13 16 19 21 22 20 16 11 8 7 8 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 11 10 10 11 11 11 11 10 9 8 7 7 6 6 7 7 8 8 9 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 10 9 9 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 11 14 16 18 19 18 15 12 10 9 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 10 10 11 12 13 13 12 12 11 11 11 12 12 12 11 10 9 9 8 7 7 8 8 9 9 9 9 10 11 11 12 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 nan
nan 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 11 11 12 13 13 13 13 12 11 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 12 12 11 11 11 10 10 11 11 12 12 11 11 11 11 11 10 10 10 10 11 13 14 14 13 12 11 11 12 12 13 13 13 12 11 11 10 9 9 9 8 8 8 8 9 9 10 11 12 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 nan
nan 14 13 13 13 12 12 11 12 12 12 12 12 12 12 12 12 11 11 12 12 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 10 12 13 13 13 12 11 11 11 12 12 13 13 13 13 12 12 11 10 10 9 8 8 8 7 7 8 10 11 12 12 13 13 13 13 13 12 12 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 10 10 10 11 11 10 10 10 11 11 11 11 10 10 10 10 10 9 9 nan
nan 14 14 13 13 12 12 11 11 11 12 12 11 11 11 11 12 11 12 12 12 13 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 8 8 9 10 11 12 12 12 11 11 11 11 11 12 12 13 13 13 12 12 11 10 10 9 9 8 8 7 8 8 9 10 11 12 12 13 13 13 12 12 12 11 10 10 10 10 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 nan
nan 14 14 14 13 13 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 10 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 9 9 9 9 9 10 10 11 11 12 13 13 12 12 11 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 10 11 10 10 10 10 nan
nan 15 14 14 13 13 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 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 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 11 11 11 11 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 11 12 13 13 12 11 10 9 9 9 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 nan
nan 15 14 14 14 13 13 12 12 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 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 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 10 11 11 11 11 11 12 12 13 12 12 11 11 10 9 9 10 10 10 10 10 11 12 13 13 12 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 12 12 11 11 11 10 11 11 11 12 12 12 12 nan
nan 15 15 14 14 14 13 13 12 12 12 12 12 11 11 11 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 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 11 11 11 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 12 12 12 13 13 12 12 11 10 9 9 9 9 9 9 10 10 11 12 12 12 12 11 11 11 11 11 11 11 11 10 11 11 11 11 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 11 12 nan
nan 15 15 14 14 14 14 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 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 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 11 11 11 10 10 10 10 11 11 11 11 12 12 12 12 13 13 13 12 11 10 9 8 8 8 8 9 9 9 9 10 11 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 nan
nan 15 15 15 14 14 14 14 13 13 13 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 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 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 12 11 11 11 10 10 9 9 10 10 11 11 11 11 11 11 12 12 12 13 13 13 12 11 10 10 9 8 8 7 7 8 9 10 12 12 12 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 11 11 11 11 10 10 10 10 10 nan
nan 15 15 15 15 14 14 14 13 13 13 13 12 12 12 12 13 13 13 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 12 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 12 12 11 11 12 12 12 12 13 13 14 14 14 12 11 11 10 9 9 8 8 9 10 11 11 11 11 11 11 11 11 12 13 15 16 15 14 12 11 9 7 6 6 6 7 8 9 11 12 11 10 10 10 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 nan
nan 16 15 15 15 15 15 14 14 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 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 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 12 13 13 14 15 14 12 11 10 9 9 8 8 8 9 10 11 11 12 12 11 11 12 12 13 15 17 18 17 15 13 10 7 5 4 4 6 6 7 9 10 11 11 11 10 11 11 12 12 12 12 11 11 12 12 13 12 12 12 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 nan
nan 16 16 15 15 15 15 14 14 14 14 14 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 12 11 11 11 11 11 11 11 10 10 10 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 12 12 13 14 14 13 12 11 11 10 10 9 8 8 9 10 11 12 13 13 12 12 12 14 16 19 20 20 18 15 12 9 6 4 4 5 7 9 9 9 9 9 10 10 11 11 12 12 13 13 13 13 13 12 12 11 11 11 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 10 10 nan
nan 16 16 16 15 15 15 15 14 14 14 14 14 14 14 14 13 13 13 12 13 13 12 12 12 12 11 11 12 11 11 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 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 11 11 12 12 13 13 14 14 13 13 12 12 11 9 8 9 10 11 12 13 13 12 12 12 15 18 20 22 21 18 15 12 9 7 5 5 8 10 11 10 8 6 7 8 10 11 11 11 11 12 14 14 14 13 12 10 9 9 10 11 12 12 12 12 11 11 10 11 11 12 12 12 12 11 12 12 12 12 12 11 11 nan
nan 17 16 16 16 16 16 15 15 15 15 15 15 15 15 14 14 13 13 13 13 13 13 12 12 11 11 11 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 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 13 14 15 15 14 13 13 11 10 9 8 9 10 12 12 11 11 12 15 18 20 21 20 16 14 12 10 8 7 7 9 12 11 9 6 5 6 9 10 11 11 10 11 12 13 14 13 13 11 10 9 9 10 11 12 12 12 11 11 10 11 11 12 12 12 12 11 10 11 11 12 13 13 12 11 nan
nan 17 17 17 17 16 16 16 16 16 16 16 15 15 15 14 14 14 13 13 13 13 13 12 12 12 11 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 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 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 12 12 13 14 14 14 14 14 14 12 10 7 7 9 10 11 11 11 13 16 18 20 19 17 15 14 13 11 9 8 8 9 10 9 6 5 5 8 10 11 11 10 10 11 12 13 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 11 10 10 10 10 11 12 12 12 11 nan
nan 16 17 17 17 17 17 17 17 17 17 16 16 15 15 15 14 14 14 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 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 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 12 12 13 13 13 13 13 14 14 13 11 9 8 9 10 10 11 12 15 17 18 18 17 15 14 13 12 11 9 8 8 9 9 7 6 4 4 6 8 9 10 10 11 11 12 12 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 11 12 12 12 12 11 10 10 10 10 10 11 12 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
CAPE
0 0 1 1 2 2 2 2 3 4 6 8 14 12 10 9 10 17 20 16 10 5 4 4 6 8 10 14 17 18 16 17 19 21 19 16 13 11 11 12 15 15 12 8 5 6 7 6 4 2 2 3 4 5 4 3 2 3 5 8 19 34 47 51 33 16 6 3 2 3 4 5 6 6 7 9 10 11 11 11 12 13 15 16 17 18 17 19 22 26 29 29 32 34 37 34 22 16 10 7 5 4 2 1 1 1 0 1 1 2 4 4 3 2 1 1 1 1 2 3 5 7 8 9 10 10 10 8 6 6 6 6 6 6 6 6 7 11 17 21 22 24 36 64 116 168 193 170 228 287 307 283 226 185 162 153 146 138 130 134 135 137 143 159 196 240 277 303 306 278 221 165 130 115 112 107 93 75 60 47 35 22 17 19 27 32 28
0 1 2 2 1 1 0 0 1 3 5 6 7 4 6 9 11 13 15 10 6 4 5 6 8 10 14 17 18 15 15 17 19 21 21 16 12 11 12 13 14 14 13 9 5 5 7 7 5 3 3 3 3 4 4 3 2 2 4 7 20 39 50 47 30 15 5 3 4 4 6 8 9 8 9 11 12 12 12 14 15 16 17 18 17 19 18 18 18 18 17 19 24 29 43 56 49 37 26 16 10 6 4 3 2 1 1 1 0 1 2 3 3 4 2 1 0 0 1 2 3 5 7 9 10 11 11 10 9 8 8 7 7 7 6 5 6 10 15 20 25 29 46 77 133 211 284 235 244 277 300 289 218 180 155 146 150 156 146 138 131 127 132 155 209 256 293 309 289 243 196 159 134 119 112 93 87 79 67 57 45 37 33 34 37 31 16
1 2 1 1 0 0 0 0 0 0 1 2 1 4 5 5 4 6 9 7 5 5 7 8 8 10 12 14 16 15 15 18 21 22 18 14 11 11 12 12 10 8 9 9 8 7 7 7 6 5 4 4 4 4 4 4 5 8 12 15 20 31 45 45 26 11 5 5 6 6 6 8 9 9 11 12 13 13 13 15 17 22 28 34 36 35 32 28 25 23 22 23 26 31 45 65 71 62 46 33 26 15 9 6 4 2 2 1 1 0 1 1 2 4 3 2 1 0 0 1 2 4 6 8 10 11 11 11 11 10 9 9 9 7 7 6 6 8 13 19 26 33 46 75 137 240 360 360 349 337 327 314 227 166 129 119 134 166 161 145 127 114 118 160 217 268 301 302 255 217 182 156 138 123 128 118 101 85 73 68 56 44 35 32 34 26 12
1 1 0 0 0 0 0 0 0 0 0 1 0 1 2 2 2 2 5 8 9 10 10 10 8 9 10 11 12 12 13 16 18 18 11 10 8 8 8 7 4 4 7 10 11 9 6 6 6 5 4 5 5 4 4 5 7 14 18 18 19 27 40 40 24 12 10 9 9 8 8 8 9 10 11 13 13 14 15 17 20 26 33 41 49 53 51 47 44 42 40 38 38 41 51 65 72 70 59 51 48 34 23 16 10 6 5 3 2 1 1 1 1 3 2 2 1 1 0 1 3 5 6 8 9 10 12 12 11 10 9 9 8 8 7 6 6 7 9 15 23 30 39 57 104 213 354 449 470 434 372 331 240 161 110 92 110 130 142 139 124 109 124 170 219 264 296 291 228 185 159 145 140 137 131 118 107 105 95 88 73 55 37 24 31 24 16
0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 8 10 11 13 14 12 8 7 7 6 4 5 7 11 14 13 10 8 5 4 4 3 3 6 9 10 10 8 6 5 5 5 4 3 3 3 2 2 6 13 17 18 19 25 41 38 26 17 15 14 13 12 10 9 10 11 12 13 15 16 17 20 28 37 47 58 68 72 72 70 68 66 65 61 56 52 51 51 53 59 59 57 56 48 38 30 22 16 12 8 6 6 6 5 3 3 3 3 2 1 1 1 3 5 6 7 9 10 11 12 12 11 10 9 8 8 6 5 4 4 6 10 16 22 27 35 59 147 289 427 503 495 422 355 274 200 145 112 111 119 127 128 120 112 139 178 215 244 264 232 194 166 155 158 163 151 129 112 113 134 118 106 93 78 56 28 27 25 21
0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 6 8 10 12 13 13 10 5 2 2 2 2 3 3 5 8 8 6 5 5 4 3 2 6 10 12 12 11 9 6 4 2 2 1 1 1 1 1 2 5 9 12 14 14 15 30 29 25 21 19 19 17 17 15 13 12 12 14 16 17 18 21 30 40 48 57 68 76 82 85 87 87 87 83 79 70 60 49 42 39 42 47 50 50 47 44 39 32 27 23 20 16 15 16 15 11 8 6 4 3 2 1 1 2 4 5 7 9 10 11 12 11 12 11 10 9 9 7 6 4 3 3 5 10 14 18 21 29 87 198 332 441 481 457 404 339 275 217 164 144 135 132 132 123 126 152 187 213 218 214 183 156 144 153 171 167 147 123 104 97 109 109 102 92 85 72 48 32 23 21
0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 5 6 8 8 8 8 9 5 2 0 0 0 1 1 2 3 5 5 4 4 5 4 2 0 5 10 12 12 10 9 5 2 0 0 0 0 0 0 0 0 0 4 8 12 15 14 21 25 25 24 23 24 23 22 19 16 14 13 15 17 19 21 25 33 43 52 59 68 75 83 90 95 98 96 92 87 79 68 56 50 46 43 42 40 37 38 38 37 35 32 31 29 27 25 26 24 20 15 11 8 5 3 2 1 1 2 4 5 7 9 10 12 12 13 12 11 11 11 10 7 4 2 2 2 6 10 13 16 20 37 103 209 326 413 443 426 386 335 259 189 162 141 128 143 131 126 137 154 163 171 161 142 129 133 143 156 152 137 116 98 91 93 90 80 68 67 60 46 31 19 19
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