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 15 14 13 12 10 8 7 6 5 4 3 2 1 1 2 3 4 4 3 3 3 2 3 5 8 11 14 15 16 15 14 13 12 11 10 8 7 7 9 9 8 8 7 7 6 6 6 6 8 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 6 6 6 6 6 7 7 8 8 7 8 9 9 9 10 10 9 9 8 8 9 9 8 8 8 8 8 8 8 9 10 10 9 8 8 8 8 7 7 7 9 10 10 10 9 9 9 10 11 12 12 12 11 11 10 9 9 9 9 9 8 7 6 6 6 7 7 7 8 9 9 9 9 10 11 11 10 10 9 9 9 9 8 8 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 10 10 nan
nan 13 13 11 10 8 6 5 4 3 2 2 1 -0 -0 0 1 2 2 2 2 2 2 2 4 7 11 13 15 16 15 14 13 13 13 11 9 7 8 9 9 8 8 7 7 6 5 6 8 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 9 9 8 7 7 7 7 7 7 7 6 6 6 6 7 7 8 9 9 9 8 8 8 9 9 9 9 9 9 9 8 9 10 10 10 9 9 8 8 7 7 7 8 9 10 10 9 9 9 10 10 11 11 11 11 11 10 10 9 10 10 9 9 9 7 6 6 6 7 7 7 8 8 9 10 10 11 12 11 11 10 10 9 9 9 9 9 9 9 7 6 6 7 7 7 7 6 6 6 7 8 8 8 8 8 8 8 7 7 7 7 8 7 7 7 7 7 8 9 9 nan
nan 11 11 10 9 7 6 5 4 3 2 2 1 0 -0 0 1 1 1 1 2 3 2 2 3 5 8 10 12 14 14 14 14 14 14 13 10 8 8 9 9 8 7 7 6 6 6 7 8 9 10 10 10 10 11 10 9 9 10 9 9 9 8 8 8 8 9 10 9 8 8 8 8 8 8 6 5 6 6 6 5 5 6 7 8 8 8 8 8 8 8 8 9 9 10 10 9 9 10 10 10 10 10 9 9 8 7 7 8 9 10 10 10 9 8 9 9 10 10 10 10 10 9 9 9 9 9 10 10 9 7 6 6 7 8 8 8 8 8 9 10 10 11 12 11 11 10 9 8 8 8 8 9 10 11 9 7 7 7 7 7 7 6 5 6 8 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 nan
nan 9 9 9 8 7 6 5 4 3 2 2 2 2 1 1 0 0 -0 -0 1 3 3 3 4 5 7 8 10 11 12 13 14 14 15 14 12 10 9 8 7 7 7 6 6 7 8 8 8 9 9 9 9 10 10 10 10 11 11 10 10 9 9 8 8 8 9 10 10 10 10 9 9 9 8 7 6 6 7 6 5 5 5 6 7 7 7 8 8 8 8 8 9 10 11 10 10 10 10 10 10 11 11 10 10 9 8 8 8 9 10 11 10 9 8 7 7 8 8 8 8 8 9 9 9 9 10 11 11 10 8 7 8 8 8 8 8 8 9 9 9 10 11 11 11 10 9 8 7 7 7 7 8 9 11 11 9 8 7 6 6 6 6 6 7 8 9 10 9 9 8 8 8 7 7 8 8 7 8 8 9 9 8 7 8 9 nan
nan 7 7 7 6 6 5 4 4 3 3 2 2 2 2 1 1 0 0 -0 -0 1 3 5 6 7 7 7 8 9 11 13 14 14 15 15 14 12 10 8 6 6 6 7 7 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 7 7 7 6 6 5 6 6 6 6 7 8 8 8 8 9 10 10 11 11 10 10 9 10 10 11 11 11 10 10 9 9 9 9 9 10 11 10 8 7 7 6 7 7 8 9 9 9 10 10 11 11 12 11 10 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 8 7 7 7 7 7 8 9 10 9 8 7 6 5 4 4 5 6 8 9 9 9 9 9 8 8 8 8 8 7 7 8 9 10 10 8 7 8 9 nan
nan 5 4 4 3 3 2 2 2 2 2 2 2 2 2 1 1 1 1 0 -0 1 4 7 8 8 8 6 5 7 11 14 16 15 15 16 15 13 10 7 5 6 8 8 9 9 9 10 10 11 10 9 9 10 11 12 12 11 11 11 11 11 12 12 12 11 10 10 10 9 8 7 7 7 8 7 7 6 6 6 6 6 7 7 7 7 8 8 9 9 9 9 10 11 11 11 10 10 9 10 10 11 11 11 11 10 10 10 9 9 9 10 11 10 9 8 7 6 6 7 8 8 9 9 10 10 10 11 11 11 11 10 10 9 8 7 7 7 7 8 9 10 10 10 10 10 9 8 8 8 9 8 8 8 8 9 8 8 7 6 5 3 3 4 6 8 9 8 8 9 9 8 8 8 8 9 8 8 9 10 10 10 8 8 9 9 nan
nan 3 3 2 1 -0 -1 -1 -1 -0 0 0 1 1 2 1 1 1 1 1 1 3 7 9 10 9 7 4 4 7 11 16 18 18 17 17 16 13 10 7 5 7 8 9 9 9 10 11 12 11 10 10 10 11 12 12 11 10 10 10 11 11 12 12 11 9 8 7 6 5 5 6 6 7 7 7 6 6 6 6 6 6 7 7 7 8 9 9 10 10 10 10 10 11 12 12 11 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 10 9 8 7 7 7 7 7 8 8 8 8 8 9 10 11 11 12 11 10 9 8 7 7 7 8 9 10 10 11 11 10 9 8 8 8 8 8 8 8 8 8 7 8 8 8 6 5 4 6 7 9 8 8 8 8 8 8 8 9 9 9 9 10 9 9 9 8 8 9 10 10 nan
nan 3 2 1 1 -1 -2 -2 -2 -2 -1 -1 -0 1 3 3 2 2 2 3 3 5 8 11 11 10 7 4 4 7 12 17 20 21 20 19 16 13 9 7 6 7 7 8 9 10 12 13 12 10 9 8 8 9 9 8 7 7 8 9 9 9 8 7 6 4 3 2 1 1 3 5 6 7 7 7 7 7 6 6 6 6 6 6 6 8 9 10 10 10 10 10 10 11 11 12 12 11 11 11 11 11 12 12 12 12 11 11 10 10 10 11 11 12 11 10 9 8 7 6 6 7 7 8 7 7 7 7 9 10 12 12 12 11 10 8 8 7 6 7 9 9 10 10 10 10 10 9 8 8 7 7 7 8 8 7 7 8 9 8 7 6 7 8 9 9 8 8 7 7 7 7 8 10 11 11 10 9 9 8 8 8 9 10 10 10 nan
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nan 6 5 4 4 4 4 4 4 4 4 4 5 7 10 14 17 18 18 17 16 14 12 10 10 10 10 8 7 10 14 20 24 25 24 20 16 14 11 10 9 8 8 9 11 12 13 11 8 6 5 5 5 5 6 5 5 5 5 5 3 2 0 -0 -1 -1 -1 1 2 4 6 7 7 8 8 8 8 8 8 7 7 7 7 6 6 8 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 13 13 12 12 12 12 11 11 11 11 11 10 9 8 7 7 8 9 10 10 10 10 10 11 12 11 10 10 11 11 9 8 7 7 7 7 7 7 8 9 10 10 10 10 10 10 10 11 12 12 11 11 11 11 10 9 9 9 9 9 8 7 6 6 6 6 6 7 9 10 10 9 8 9 10 10 10 10 10 10 9 nan
nan 8 7 6 6 7 7 7 7 6 6 6 7 8 10 14 17 19 19 19 18 15 13 11 10 10 10 9 10 13 18 22 24 24 22 19 16 14 12 11 10 10 10 10 10 11 11 9 7 5 4 5 6 8 9 9 8 7 6 4 3 3 3 2 2 1 1 3 5 6 7 8 8 9 9 9 8 8 7 7 7 7 6 6 6 7 8 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 12 12 11 11 11 10 10 8 7 7 7 9 10 11 11 12 13 13 13 11 10 9 9 9 9 8 8 8 8 7 6 6 7 8 9 9 9 10 10 11 11 11 12 12 12 12 11 11 10 9 9 9 9 8 8 7 7 7 7 7 7 7 8 9 9 8 8 9 10 10 11 11 11 10 9 nan
nan 9 8 8 8 8 9 9 8 8 7 7 7 7 8 9 11 13 14 14 13 12 11 10 10 10 10 12 15 18 20 22 22 21 20 17 15 14 12 11 10 10 10 9 9 9 10 9 7 4 5 6 7 9 9 9 8 7 5 5 5 6 6 5 4 3 4 5 7 8 9 9 9 9 9 9 8 7 7 7 7 7 6 6 6 6 8 9 9 10 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 12 11 10 10 10 10 9 8 8 7 8 8 10 11 12 13 13 13 12 10 9 9 9 9 10 9 9 8 6 6 6 6 6 7 7 8 8 9 10 10 10 10 11 11 11 11 10 9 8 8 8 9 9 9 8 8 7 8 9 8 8 8 8 8 8 8 9 10 11 12 12 13 12 10 nan
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nan 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 12 14 16 18 19 19 18 17 16 15 14 13 12 12 11 9 8 7 8 9 9 10 9 9 8 7 7 7 7 7 7 7 6 6 6 8 10 10 10 9 9 9 10 11 13 13 12 10 8 7 7 8 8 8 8 8 9 9 8 7 6 6 6 7 9 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 13 13 12 10 9 8 9 10 10 10 8 7 7 9 10 11 11 12 12 13 13 13 13 13 13 13 11 8 6 6 6 7 7 6 5 5 6 7 7 8 9 9 9 10 11 11 11 11 10 9 9 9 9 9 9 8 7 8 8 8 8 9 9 9 8 8 8 8 9 10 12 13 12 12 nan
nan 7 7 7 7 8 8 8 8 9 9 9 9 9 9 10 11 11 11 11 11 12 12 13 14 16 17 17 17 16 15 15 14 13 12 12 12 12 11 10 9 10 10 11 11 10 9 9 9 9 9 9 8 8 7 7 7 8 9 10 10 10 9 10 10 11 12 12 11 9 7 7 7 7 8 8 9 9 9 9 9 10 9 9 8 7 6 7 9 10 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 11 11 10 10 10 11 12 11 10 8 7 8 10 11 11 10 8 8 8 9 10 11 11 11 12 13 13 12 12 13 13 11 9 8 7 7 8 8 7 6 6 6 7 7 7 7 7 7 8 9 10 11 10 10 10 9 9 10 10 10 8 7 7 7 7 8 9 10 10 8 8 8 7 8 9 10 10 10 10 nan
nan 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 12 13 13 14 14 15 15 16 16 16 16 15 14 14 13 13 12 11 11 12 13 13 13 12 12 11 11 11 11 10 10 10 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 9 6 4 4 5 7 8 8 8 9 9 9 9 9 9 10 11 10 9 8 7 9 10 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 10 9 8 6 6 7 9 11 12 11 11 10 9 9 10 10 10 10 11 12 12 10 10 10 11 11 10 9 8 8 9 8 7 7 6 6 7 8 8 7 7 7 7 8 9 9 9 9 9 9 8 9 9 9 8 7 6 6 6 8 9 10 9 8 8 7 7 7 8 8 8 7 7 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 12 13 14 14 15 15 16 16 16 16 15 15 14 14 13 13 12 12 11 10 12 13 15 15 13 12 11 10 10 11 11 11 12 12 13 14 14 14 13 12 11 10 10 10 10 10 11 11 10 10 8 6 5 4 5 7 7 8 8 7 8 8 7 7 7 8 9 11 11 10 9 8 8 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 8 7 5 4 5 6 8 10 10 11 11 10 10 10 10 10 10 11 11 11 11 9 8 9 9 9 8 8 8 8 7 7 6 6 6 7 8 8 8 7 8 8 8 8 8 8 8 9 9 8 8 8 8 8 6 5 5 6 7 8 8 8 7 6 6 7 8 8 7 6 5 5 nan
nan 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 13 14 15 15 15 15 15 15 15 15 14 14 13 13 12 11 10 10 11 12 13 13 12 12 12 11 12 12 13 13 14 15 16 17 17 17 16 14 12 11 10 10 10 11 11 11 10 9 7 7 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 8 7 6 7 8 9 9 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 6 4 4 4 5 7 7 8 7 7 8 8 8 8 8 8 9 10 10 9 8 7 7 7 7 6 6 6 6 6 6 5 6 7 8 8 8 8 8 9 9 8 8 8 9 9 9 8 8 8 8 8 7 6 5 6 6 7 7 6 6 5 6 7 8 8 7 6 5 5 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 14 14 14 14 14 14 15 15 15 14 13 12 11 10 9 10 10 10 11 11 10 11 12 13 13 14 14 15 15 16 17 17 17 17 17 15 14 13 12 12 12 13 13 12 11 10 9 8 8 9 8 8 8 7 7 7 7 7 7 7 8 7 6 6 7 7 7 7 6 5 6 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 7 7 8 8 8 7 7 6 5 4 4 5 5 4 4 4 5 5 5 5 4 5 6 7 8 8 8 7 6 6 6 6 6 6 6 6 6 6 7 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 6 6 6 6 6 5 5 5 6 7 8 7 7 6 6 6 nan
nan 10 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 12 12 13 13 13 13 14 14 15 15 14 13 12 11 10 9 9 9 9 10 10 10 10 10 11 13 13 14 14 14 14 15 15 15 16 16 17 17 17 17 16 16 15 14 13 13 12 11 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 7 7 6 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 5 5 6 7 7 7 7 6 6 6 5 5 5 4 3 3 4 5 5 5 4 5 5 6 7 8 8 8 7 6 6 6 6 6 7 7 7 8 8 8 9 9 9 9 9 8 8 7 7 9 10 10 9 9 9 9 9 8 8 8 8 8 7 6 6 6 6 6 6 7 8 8 7 7 7 7 7 nan
nan 10 10 10 10 11 11 11 11 12 12 12 12 12 11 11 11 11 11 12 12 13 13 13 13 14 14 14 13 12 12 11 11 10 10 10 10 10 10 10 11 11 12 13 13 13 13 13 14 14 14 14 15 16 16 16 17 17 17 16 15 12 11 10 10 10 10 10 10 10 9 8 8 8 9 10 10 10 10 9 9 9 9 8 8 9 8 8 8 7 6 5 5 5 5 5 5 5 6 6 6 7 7 8 8 7 7 7 6 6 6 6 7 7 7 6 6 6 7 7 7 6 5 5 5 6 6 6 6 6 7 8 8 8 9 9 8 7 7 7 8 8 7 8 8 8 8 8 8 8 9 9 10 9 8 7 7 7 8 9 9 9 9 9 9 9 8 8 9 9 9 8 8 8 7 7 7 8 8 8 8 7 7 7 8 8 nan
nan 9 9 9 10 10 10 10 11 11 11 11 11 11 11 10 10 10 11 11 12 13 13 13 13 12 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 14 14 15 15 15 15 15 14 13 11 9 8 8 9 10 11 12 12 12 11 10 10 10 11 12 13 13 11 10 9 8 8 8 9 9 9 9 8 8 7 7 6 5 5 5 5 6 6 6 6 7 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 8 8 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 7 8 8 8 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 11 12 12 13 13 12 12 12 12 13 13 12 12 11 11 10 11 11 11 11 11 11 11 12 12 12 13 13 13 13 12 12 13 13 13 13 14 13 12 11 10 9 8 8 9 10 11 12 12 13 13 13 12 12 12 13 13 14 13 12 10 9 8 8 8 9 9 9 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 6 6 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 7 7 7 7 8 9 10 9 8 8 8 8 8 8 8 8 8 9 10 10 10 9 9 8 8 8 8 8 nan
nan 10 9 8 8 8 9 9 9 10 10 10 10 10 10 10 9 9 10 10 11 11 12 12 12 12 12 12 13 13 12 12 11 10 10 10 10 10 10 11 11 11 11 11 12 13 13 13 12 12 11 11 11 11 11 12 12 11 10 9 9 8 9 9 10 11 11 12 12 12 12 12 12 12 12 12 11 10 10 9 9 8 8 9 9 8 8 8 8 8 8 8 8 7 7 7 6 7 7 8 8 8 8 8 8 7 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 6 7 7 7 8 7 6 5 5 6 6 7 7 7 6 6 7 7 7 7 7 7 8 8 9 9 9 9 8 8 9 9 8 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 10 10 9 8 8 8 7 7 nan
nan 11 10 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 12 12 13 13 12 11 12 12 12 11 11 10 10 10 9 9 9 10 10 10 11 12 12 13 13 13 12 11 11 10 10 10 10 10 10 9 9 9 8 8 7 7 8 9 10 11 10 10 10 10 10 10 10 9 7 6 6 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 7 8 8 7 6 6 6 6 7 6 6 6 6 7 7 7 8 7 7 8 9 9 10 10 9 9 9 9 9 8 8 7 7 8 9 10 10 9 9 10 11 11 10 10 9 8 8 8 10 10 10 9 8 8 8 8 7 7 nan
nan 12 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 12 11 11 11 10 10 9 9 9 9 9 8 8 8 9 9 11 12 13 14 14 13 12 11 10 9 9 9 9 8 8 8 8 8 8 7 7 6 7 8 9 10 9 8 8 8 8 8 8 6 4 3 4 5 6 7 8 8 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 10 9 9 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 6 6 6 7 7 8 8 8 8 7 7 8 8 8 7 7 7 8 8 9 9 8 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 10 10 10 11 11 11 10 9 8 7 8 9 10 10 10 9 8 8 8 8 7 7 nan
nan 12 12 12 12 12 11 11 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 12 11 11 9 9 8 8 8 9 8 8 8 7 8 8 10 12 14 14 14 13 12 10 9 9 8 8 8 7 7 7 8 8 9 9 8 8 8 8 8 8 8 7 6 6 7 7 6 4 3 4 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 10 10 10 9 8 7 8 8 8 8 8 7 7 7 7 7 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 7 7 8 9 10 10 9 9 9 9 10 11 10 10 10 10 10 9 9 9 9 9 10 11 11 11 11 11 11 11 10 9 8 8 7 8 9 10 11 10 9 8 8 8 7 7 7 nan
nan 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 12 12 12 12 12 11 11 10 9 8 8 8 8 8 8 7 7 8 8 10 11 13 14 14 13 12 9 8 7 7 7 7 7 7 8 8 8 9 10 10 10 9 8 7 7 8 7 8 8 8 7 5 4 4 5 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 10 11 10 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 11 10 9 8 8 10 11 11 10 10 10 10 11 11 10 10 10 10 10 10 10 10 9 9 10 11 11 11 11 11 12 11 10 9 9 8 8 8 10 11 11 11 10 9 8 7 7 6 6 nan
nan 13 12 12 11 11 11 11 11 11 11 10 10 10 10 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 8 8 8 8 8 7 7 8 9 10 11 12 13 14 14 12 10 8 7 7 7 7 7 8 8 8 8 8 9 9 9 8 7 6 7 8 9 9 9 8 6 5 5 6 7 8 9 9 8 8 8 8 7 7 8 8 8 8 8 7 8 7 7 7 7 8 10 10 10 9 9 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 11 12 13 14 14 13 13 12 12 11 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 11 12 12 11 11 11 11 10 9 9 10 11 11 11 9 9 8 8 7 7 7 nan
nan 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 11 11 11 11 11 10 9 9 8 8 7 7 7 7 8 9 9 10 11 13 14 13 12 10 9 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 8 9 9 8 6 5 5 6 7 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 12 12 13 13 13 12 12 12 13 13 12 11 11 11 11 11 11 11 12 11 11 10 10 9 9 9 9 10 10 10 10 10 11 11 11 12 12 11 11 11 11 12 12 12 11 11 11 11 11 10 9 9 9 9 8 8 nan
nan 12 12 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 11 11 10 9 9 9 8 8 8 7 7 8 8 9 9 10 11 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 8 8 8 8 8 7 5 3 3 5 7 9 10 10 10 9 9 8 8 7 7 7 7 7 7 7 7 8 8 7 7 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 12 11 10 10 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 10 10 10 11 11 11 11 11 10 10 10 12 14 13 13 12 11 10 11 11 10 10 10 10 9 9 nan
nan 12 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 10 10 11 11 11 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 9 9 8 7 6 5 4 6 7 8 9 9 10 10 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 9 8 8 8 8 8 8 9 9 10 10 9 9 8 9 9 9 9 8 8 9 10 11 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 10 12 13 14 13 12 10 10 11 11 11 11 10 10 10 9 nan
nan 12 11 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 10 9 9 9 9 9 10 10 11 11 10 10 9 9 9 9 10 10 10 9 8 7 6 6 6 7 8 8 8 8 8 9 8 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 7 7 7 8 8 8 9 10 10 9 9 9 9 9 9 9 8 8 8 9 11 12 13 13 13 13 11 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 12 13 14 13 11 9 10 11 12 12 11 11 10 10 10 nan
nan 11 10 10 9 9 9 9 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 11 11 10 10 9 9 9 9 9 10 10 9 7 6 6 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 7 8 8 9 9 8 7 7 8 9 10 9 10 10 10 10 9 10 11 11 10 10 9 9 9 10 11 12 12 13 14 13 12 10 8 8 8 9 9 9 9 9 8 9 9 9 10 10 11 12 12 13 13 11 10 11 11 12 12 11 11 10 10 9 nan
nan 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 9 9 9 9 8 7 7 8 7 7 7 7 7 7 7 7 7 6 7 7 7 8 8 9 10 11 11 11 11 11 11 11 11 11 11 10 11 11 10 9 8 7 7 7 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 8 9 9 9 8 7 7 8 10 11 11 11 11 11 10 10 11 12 12 11 10 10 9 9 9 10 10 11 12 13 13 11 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 11 11 11 11 10 10 10 10 9 9 nan
nan 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 9 8 9 9 10 11 12 12 12 11 10 10 10 10 10 9 9 10 10 10 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 9 8 7 8 9 10 11 11 11 12 11 11 11 11 11 11 11 10 9 8 8 8 9 9 10 11 11 11 10 9 8 8 9 9 9 9 10 9 9 9 9 9 10 10 10 10 11 11 12 12 11 11 10 10 9 10 10 10 10 10 nan
nan 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 10 10 8 7 7 6 6 7 7 8 8 9 9 9 9 9 9 8 8 8 8 7 8 8 8 9 10 11 11 11 11 11 11 11 11 12 12 12 11 10 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 9 8 8 8 8 9 10 10 11 11 11 11 11 10 10 10 10 9 8 8 8 8 8 8 9 10 11 11 11 10 9 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 9 10 10 10 11 10 nan
nan 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 9 8 7 6 5 5 6 8 9 10 10 10 9 8 8 8 8 8 8 8 8 9 10 11 11 12 12 12 12 11 11 11 11 10 11 10 10 9 9 8 8 7 7 7 7 7 8 9 9 8 8 8 8 7 7 8 8 8 9 10 10 11 12 13 13 14 14 14 14 13 13 13 13 12 11 9 9 8 8 7 8 9 10 11 11 11 11 10 10 10 10 9 8 8 8 8 7 7 7 8 9 10 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 9 9 10 11 10 nan
nan 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 9 8 7 6 5 6 7 8 9 9 8 7 7 7 8 8 8 8 8 9 10 11 12 12 13 13 13 12 10 10 9 9 10 10 10 9 9 8 9 8 8 8 7 7 8 9 9 9 8 8 8 8 8 8 9 9 10 11 11 12 13 13 14 14 14 14 14 14 14 14 14 13 13 11 10 9 8 8 7 7 8 9 10 11 10 10 10 10 10 10 9 9 9 9 9 8 7 7 8 9 10 11 12 11 10 9 9 9 9 9 9 9 8 9 9 10 9 9 9 9 9 9 10 10 11 11 11 11 10 9 9 10 10 9 nan
nan 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 6 6 5 5 5 5 5 4 4 4 5 6 6 7 7 8 9 11 11 12 12 11 11 11 11 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 11 10 9 9 8 8 7 7 8 9 10 10 10 9 9 10 10 10 10 10 10 10 10 9 8 7 8 9 10 11 12 11 10 9 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 10 10 11 11 10 9 9 9 9 9 nan
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nan 7 7 7 7 7 7 6 6 6 6 5 5 5 4 4 4 5 5 7 8 9 8 7 7 8 10 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 9 8 8 9 10 11 11 11 11 10 9 8 7 8 8 9 10 11 11 11 10 10 10 9 9 9 9 9 9 8 8 7 7 8 9 9 8 7 7 7 8 9 10 9 7 6 6 7 8 10 10 11 11 12 12 13 14 14 13 13 12 11 11 10 10 10 10 10 10 9 9 10 10 10 10 9 8 7 6 6 5 5 5 7 10 12 13 12 10 7 5 4 3 4 8 12 14 14 13 11 11 12 14 13 13 13 12 11 10 10 10 10 10 9 9 9 8 7 7 7 8 9 9 9 8 5 3 2 3 3 4 5 7 8 9 10 10 10 11 11 12 12 12 nan
nan 8 7 6 6 6 6 5 5 4 4 4 3 3 3 3 4 5 5 6 6 5 3 2 3 5 8 10 10 10 10 10 9 9 9 9 9 10 10 10 11 10 10 9 8 9 10 11 11 11 10 9 8 7 7 7 8 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 7 5 5 6 8 9 8 7 6 6 7 8 9 9 8 8 8 9 10 11 11 12 12 12 13 13 14 15 15 15 14 14 13 12 12 12 12 11 11 10 10 10 10 10 10 9 8 7 6 6 6 6 6 7 9 11 12 12 9 7 5 3 2 4 7 10 12 12 11 10 11 13 14 14 13 14 14 14 15 15 15 13 12 9 8 6 5 4 3 4 6 7 8 9 9 7 4 3 3 3 5 7 9 10 10 10 10 10 11 11 12 12 12 nan
nan 8 8 7 7 6 5 4 4 3 3 3 3 3 3 4 5 6 6 6 6 5 4 4 5 6 9 10 11 11 10 10 9 9 9 10 10 10 10 11 11 11 10 10 10 11 11 11 10 10 8 8 7 7 7 8 9 9 9 10 10 10 10 9 10 10 10 10 11 10 10 9 8 6 4 4 5 7 8 8 8 7 7 8 9 9 9 10 10 11 11 11 12 12 12 13 13 13 13 14 15 15 16 17 16 15 14 13 13 13 13 12 12 11 10 9 9 9 9 8 7 7 6 6 7 7 7 7 9 11 12 10 8 5 4 4 4 6 7 9 10 10 9 10 12 12 12 13 14 14 15 16 16 16 16 15 13 10 7 5 4 4 5 6 7 8 9 9 8 6 4 4 5 8 10 12 12 11 11 10 10 10 11 12 13 13 nan
nan 9 9 8 7 6 5 4 3 3 4 4 4 5 5 6 7 8 8 9 9 9 9 9 10 10 11 12 12 11 11 10 9 9 10 10 10 11 11 11 11 11 11 11 12 11 11 10 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 10 10 10 11 10 9 9 8 7 5 4 4 6 7 8 8 8 8 9 9 10 10 10 11 12 12 12 12 12 12 13 13 14 13 13 14 15 16 17 16 16 15 15 15 15 14 13 12 11 10 9 8 8 8 8 7 7 7 7 7 7 7 6 8 10 13 12 10 7 5 5 5 6 7 8 10 10 10 10 9 9 10 12 13 13 14 15 15 16 17 18 17 15 11 9 8 8 8 8 8 8 8 8 8 7 6 6 7 10 12 13 13 12 11 10 10 9 10 11 11 11 nan
nan 9 9 8 7 6 5 5 5 5 6 6 6 6 7 9 10 11 12 13 13 13 13 13 13 13 13 13 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 9 8 8 8 8 7 6 5 4 5 7 8 8 8 9 9 9 9 10 10 12 12 12 11 9 9 10 12 13 13 12 12 12 14 15 15 14 14 14 16 16 16 15 13 12 11 10 9 8 8 8 9 8 7 7 7 7 8 7 7 8 11 14 14 11 8 6 6 6 7 8 9 10 10 10 9 9 9 10 10 11 12 12 13 13 14 16 17 17 15 13 11 10 9 8 8 7 7 7 8 9 9 10 10 10 12 13 14 14 13 11 10 9 8 8 8 7 7 nan
nan 9 8 8 7 6 6 6 7 7 8 7 7 8 9 10 12 14 15 15 14 14 14 14 14 13 13 12 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 7 7 7 7 6 6 6 6 7 8 8 9 9 9 9 9 9 10 12 12 11 9 8 8 9 10 11 12 12 12 13 13 13 12 11 11 12 14 15 15 14 13 11 11 10 9 9 9 9 9 9 8 8 7 7 8 9 9 10 13 15 14 11 7 5 5 6 7 9 11 11 10 10 10 9 9 10 10 10 10 10 11 11 11 12 13 13 12 11 10 9 8 7 6 6 6 7 9 11 13 15 15 14 14 15 15 15 13 12 10 8 6 5 5 5 6 nan
nan 8 7 7 6 7 8 8 9 9 9 9 9 10 11 12 14 15 14 14 13 13 13 13 13 13 12 12 11 11 10 10 10 10 10 11 11 11 11 11 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 9 10 11 11 10 8 8 9 10 10 11 12 13 13 12 11 10 9 8 8 9 10 11 12 13 12 11 10 10 10 9 9 9 10 10 9 8 8 8 9 10 11 12 14 14 12 9 7 6 6 7 8 10 10 10 9 10 10 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 7 6 6 6 6 7 9 12 14 16 18 19 19 18 17 17 16 14 11 8 7 6 5 5 7 10 nan
nan 8 7 6 7 8 9 10 10 10 10 10 11 12 13 14 15 15 13 12 12 11 12 13 13 13 12 12 11 11 10 10 10 11 11 11 11 11 11 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 10 11 10 9 9 9 9 10 11 12 13 13 12 10 8 7 6 6 6 7 8 9 11 12 11 10 9 9 10 10 10 10 10 10 9 9 8 9 9 10 11 13 14 12 9 7 6 7 7 8 8 9 9 9 9 9 9 9 10 11 10 10 9 9 9 9 9 9 8 7 6 6 6 5 5 6 7 9 11 13 15 16 18 20 22 22 21 20 18 16 12 9 7 6 7 8 10 13 14 nan
nan 7 7 7 8 9 10 10 10 10 10 11 12 13 14 15 15 14 13 12 11 11 12 13 13 13 13 12 11 11 10 11 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 10 10 10 9 9 9 9 9 8 8 8 8 8 9 9 9 9 10 11 11 10 9 9 9 9 10 11 12 13 12 10 8 5 5 5 5 6 7 9 11 12 12 10 9 8 8 9 10 10 10 10 9 9 9 8 9 9 10 11 13 13 10 7 5 5 7 8 8 7 7 8 8 9 8 8 9 10 10 10 10 9 9 9 9 8 8 7 5 4 4 4 5 6 7 10 12 14 15 16 16 17 20 23 24 24 21 17 14 11 8 7 8 10 13 16 17 17 nan
nan 7 7 7 7 8 8 8 8 9 10 11 12 13 14 13 13 13 12 11 10 11 12 13 14 14 13 12 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 8 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 6 6 7 7 9 11 11 11 11 10 9 9 8 8 8 8 8 9 10 10 9 10 10 10 10 9 9 9 9 9 10 11 13 13 12 10 7 5 4 5 7 9 10 12 14 15 14 11 9 8 7 8 8 9 9 9 8 8 8 8 8 8 9 10 12 12 9 6 3 4 6 7 7 6 7 9 10 9 8 8 8 9 10 10 10 10 9 9 8 8 7 6 4 3 3 3 5 8 10 13 14 15 15 15 15 17 20 24 25 24 18 12 10 8 9 10 12 15 17 18 17 16 nan
nan 7 6 6 5 6 6 7 7 8 9 10 12 13 12 12 11 11 10 10 10 11 12 13 14 14 14 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 6 6 7 7 9 11 12 12 11 10 9 8 7 7 7 8 9 10 10 10 10 9 9 9 8 9 9 9 9 10 11 12 14 14 14 12 9 6 6 7 9 11 13 14 16 17 15 13 11 9 8 8 8 8 8 8 8 9 8 8 7 7 7 9 11 11 9 7 4 4 5 5 4 5 9 11 12 11 9 9 10 10 10 10 10 9 9 9 9 8 8 6 4 2 2 4 7 10 13 14 14 14 13 13 14 17 21 24 25 21 13 8 6 7 10 14 16 17 18 18 17 15 nan
nan 7 6 5 4 4 5 6 7 8 10 11 12 12 12 11 10 10 10 10 10 11 12 14 15 15 14 12 11 11 10 9 9 9 10 10 10 10 10 10 11 10 10 10 10 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 8 7 7 7 7 7 7 9 11 11 11 11 10 9 8 8 8 8 8 9 10 10 10 10 9 8 7 7 8 9 10 10 10 11 13 15 16 15 15 12 8 8 9 11 12 14 16 17 17 16 15 13 11 10 10 9 9 9 8 8 8 8 7 6 6 7 8 9 10 9 8 7 6 4 3 3 7 11 13 13 12 11 12 12 12 11 10 9 9 8 8 8 8 6 4 2 2 3 6 10 12 13 14 13 13 13 14 15 18 20 21 20 13 8 6 6 10 14 16 18 19 20 19 18 16 nan
nan 8 7 6 5 5 6 7 8 9 11 12 12 12 11 10 9 9 9 10 10 11 13 14 15 15 14 12 11 10 9 8 9 9 9 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 10 10 11 10 10 9 9 9 8 8 8 9 10 10 10 10 9 8 7 7 8 10 11 11 11 12 13 15 15 15 15 13 11 10 10 11 12 14 15 16 16 16 14 12 11 11 11 10 10 9 8 8 7 6 5 6 6 7 7 8 8 9 9 8 7 5 4 6 10 13 13 13 12 12 12 12 11 10 9 9 8 7 7 5 4 2 0 -0 1 5 9 12 13 13 13 13 14 15 16 17 18 18 16 11 6 5 6 10 14 17 19 21 22 22 20 18 15 nan
nan 9 8 7 7 7 8 9 9 10 11 11 11 11 10 9 9 9 9 10 11 11 13 15 16 15 14 12 10 9 9 8 8 9 10 10 10 11 11 12 12 12 12 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 10 11 11 11 10 8 7 8 8 10 11 11 11 12 13 14 14 13 13 13 12 11 11 11 11 12 13 14 14 13 12 12 12 11 11 10 9 8 7 6 5 5 5 6 6 7 7 8 8 8 8 8 7 7 8 10 12 13 13 12 11 11 10 10 9 9 8 7 6 5 3 2 1 0 0 2 5 9 12 13 14 14 15 15 17 18 18 18 17 15 12 8 6 7 10 14 17 19 20 22 23 22 19 15 12 nan
nan 9 8 8 9 9 10 10 11 11 10 10 10 10 10 9 9 10 10 10 10 11 13 14 16 15 14 12 11 10 9 9 9 9 10 10 11 12 12 13 13 12 12 12 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 11 11 12 11 11 10 10 10 9 9 9 10 10 11 12 12 10 9 8 8 9 10 11 11 12 12 12 12 12 12 12 12 12 12 11 10 10 10 11 11 11 10 10 11 11 11 9 9 9 8 7 6 5 5 6 7 7 8 8 9 10 9 8 7 8 9 10 11 12 12 13 13 12 11 10 9 8 7 5 4 2 1 0 1 2 4 7 9 12 13 14 15 16 17 18 19 20 20 20 18 15 13 10 9 9 11 13 15 17 18 20 21 20 18 15 12 10 nan
nan 9 9 10 10 11 12 13 13 12 11 10 9 9 9 9 10 10 10 10 11 11 12 14 15 15 14 13 11 10 9 9 9 9 9 10 11 12 13 13 13 13 12 11 11 10 9 9 9 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 10 11 11 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 12 11 10 9 8 8 9 10 10 11 11 12 12 12 12 12 12 12 12 12 11 10 10 10 10 10 9 9 10 11 11 10 9 8 8 8 8 7 6 7 9 9 10 10 11 12 11 10 8 8 9 10 12 11 11 11 13 15 14 13 11 8 5 3 1 -0 -1 0 2 5 9 12 15 16 17 17 18 19 20 20 21 22 22 21 18 15 12 10 8 8 9 11 14 15 17 18 19 17 15 13 11 10 10 nan
nan 9 10 11 12 14 14 14 14 13 11 10 9 8 7 8 9 10 10 11 11 11 12 13 14 14 14 13 12 10 9 9 8 8 8 9 11 12 12 12 12 12 11 10 10 9 9 10 10 11 11 11 10 9 9 8 8 8 9 9 9 9 9 9 9 10 10 11 12 13 13 12 12 12 11 11 10 11 11 11 11 10 10 11 10 10 9 9 9 9 10 10 10 10 10 11 12 12 12 12 12 11 11 11 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 8 8 9 10 11 11 12 13 14 14 12 10 9 10 11 13 13 12 11 12 14 14 13 12 10 6 3 1 -0 1 3 6 10 14 18 20 20 20 20 21 22 23 22 22 22 21 19 17 14 11 8 6 5 6 8 11 14 15 17 18 17 14 12 10 10 10 9 nan
nan 9 11 12 13 15 15 15 14 12 11 10 10 9 8 8 8 9 10 10 10 11 11 12 13 13 13 13 12 11 10 9 9 8 8 9 11 12 12 12 11 11 10 10 10 10 11 12 12 12 11 10 9 8 8 8 8 9 9 10 10 10 10 10 10 11 12 12 11 11 11 12 12 12 12 11 11 12 13 12 11 10 10 10 10 10 9 9 9 10 10 9 9 9 9 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 12 13 13 13 11 10 11 13 15 16 15 14 13 14 15 16 16 14 11 7 6 6 7 10 13 16 19 22 23 23 21 21 22 23 23 22 21 20 18 16 14 12 10 8 6 4 4 6 9 12 14 15 16 16 14 12 10 10 10 10 9 nan
nan 10 11 12 13 14 14 13 12 11 11 11 10 10 9 8 9 9 9 10 10 11 11 11 12 12 12 12 12 11 11 10 9 9 9 9 10 11 11 11 10 10 10 10 10 12 13 14 13 12 10 9 8 7 7 8 9 9 10 10 11 11 11 11 12 13 13 12 10 8 8 8 10 12 12 11 11 13 14 14 12 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 12 14 17 18 18 17 16 16 17 19 21 21 20 16 13 13 14 16 18 20 21 22 23 21 19 17 17 19 19 19 18 17 16 14 12 10 10 9 9 8 7 9 10 11 12 13 14 14 13 12 10 9 9 10 10 10 nan
nan 11 12 12 13 13 12 11 10 10 10 10 11 10 10 9 9 9 9 10 11 11 11 11 11 11 11 12 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 11 13 14 14 13 11 10 8 7 7 7 8 9 10 11 11 12 12 12 13 13 14 14 13 9 7 5 6 8 11 11 11 11 13 13 14 13 12 12 12 11 11 10 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 8 9 9 9 9 9 9 8 9 9 9 10 10 11 12 15 16 17 17 16 17 18 19 20 21 21 19 17 16 16 17 17 18 19 20 19 17 14 11 11 13 15 16 16 15 14 14 13 12 12 12 13 12 11 12 12 12 12 12 13 13 12 11 10 9 8 9 10 10 10 nan
nan 12 12 12 12 12 11 10 10 9 10 10 10 10 10 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 11 12 13 14 13 12 10 9 9 8 8 8 9 9 10 11 12 12 13 14 15 16 15 14 11 8 7 6 6 9 10 11 11 12 12 12 13 13 13 12 12 11 10 9 9 9 8 8 8 8 9 9 10 10 9 9 9 9 8 9 9 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 10 10 11 12 13 13 13 13 14 15 16 16 16 15 14 14 14 14 14 14 15 15 15 14 11 9 7 8 10 13 14 15 15 15 15 15 14 14 14 14 14 13 13 12 12 11 11 11 11 11 11 10 9 8 9 9 10 9 nan
nan 12 12 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 12 12 11 10 9 9 9 9 9 9 9 10 10 11 12 13 13 14 14 16 16 15 12 9 7 7 8 9 11 12 12 13 12 12 11 11 12 11 11 11 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 12 12 13 13 13 12 10 9 8 8 10 11 12 13 14 15 16 15 15 14 14 14 14 13 12 11 11 10 11 10 11 11 11 11 10 10 10 10 10 10 nan
nan 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 12 12 11 9 8 7 7 8 9 9 10 10 11 12 13 14 14 14 14 14 14 13 11 8 7 7 9 11 14 15 15 14 14 13 13 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 7 7 8 9 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 10 11 12 13 13 13 13 12 11 10 10 9 10 10 10 11 12 13 13 13 13 13 12 13 13 13 12 12 11 11 11 10 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 11 11 12 12 12 12 12 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 12 12 13 13 12 10 8 7 7 7 9 10 10 11 12 13 14 15 15 16 16 15 15 14 10 7 5 4 7 11 14 16 16 15 14 13 13 13 13 12 12 11 11 10 11 11 11 10 9 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 6 5 4 3 4 5 6 7 8 9 9 9 9 10 10 11 11 10 9 7 7 8 9 11 13 14 14 13 12 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 nan
nan 10 11 11 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 12 12 13 14 13 12 10 9 9 9 10 11 11 12 12 13 14 15 16 16 16 16 16 16 14 10 7 4 4 8 12 15 16 15 13 11 10 11 12 13 14 14 13 13 13 13 12 11 10 9 9 10 11 12 12 11 11 11 11 9 8 8 8 8 8 8 9 9 10 9 9 9 8 9 9 10 10 10 10 9 9 7 5 4 3 3 3 3 3 3 4 5 5 6 6 6 7 8 9 10 9 7 4 4 7 10 14 15 14 13 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 11 11 12 12 13 13 13 13 13 12 12 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 12 12 13 14 13 12 11 11 11 12 12 13 13 13 13 14 14 14 14 15 15 16 16 16 14 11 9 8 8 12 15 16 15 12 9 7 8 10 12 13 14 14 15 16 17 17 15 13 11 10 11 13 15 16 16 16 16 16 14 12 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 8 7 6 4 4 4 4 6 6 6 5 4 4 3 2 1 0 1 3 5 7 7 6 3 2 4 9 14 17 15 12 10 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 12 12 12 13 13 12 12 11 11 11 11 nan
nan 11 11 12 12 13 13 13 13 13 12 12 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 11 11 12 12 12 12 12 12 13 14 14 14 14 14 14 14 13 12 11 11 12 13 14 14 14 14 13 12 13 15 17 17 16 14 11 8 7 7 9 11 12 12 12 15 18 20 21 19 16 14 13 12 14 17 19 20 20 20 19 17 15 13 12 11 11 11 10 10 10 10 10 11 10 9 8 7 6 6 5 4 3 2 3 4 5 6 7 8 8 9 9 7 6 4 2 1 2 4 7 8 7 4 2 3 9 15 21 20 14 10 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 11 12 12 12 12 12 13 12 12 11 10 10 11 11 nan
nan 11 11 12 12 13 13 13 13 13 12 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 9 9 10 11 11 11 11 11 11 12 13 14 15 14 14 14 14 14 12 11 10 10 10 10 10 11 12 12 13 13 14 15 17 18 18 16 13 10 8 7 8 9 10 9 9 9 10 13 16 20 21 20 18 17 15 14 15 16 17 18 18 17 16 15 14 13 13 12 11 11 10 10 10 10 11 11 9 7 5 3 2 1 1 1 2 3 5 6 7 7 8 8 9 10 10 9 8 7 7 8 10 12 12 10 7 7 11 17 22 23 18 13 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 9 10 10 11 11 11 12 12 12 12 11 10 10 10 10 10 nan
nan 11 11 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 10 9 9 8 8 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 11 12 14 14 14 14 13 13 13 12 10 9 9 9 9 10 10 10 11 11 12 12 13 14 15 16 16 15 13 10 9 8 8 8 9 9 8 7 6 6 8 11 15 17 19 18 16 14 13 13 13 13 13 12 11 11 11 12 12 12 12 11 11 10 10 10 11 11 10 8 7 5 3 3 3 4 5 6 7 7 7 7 8 8 9 10 10 11 11 11 11 13 14 15 15 14 12 13 17 21 23 20 14 11 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 12 12 11 11 10 10 10 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
182 162 154 141 129 109 82 62 47 27 10 4 1 1 1 0 0 0 0 0 1 1 1 0 0 0 0 0 4 249 982 2001 2610 2746 2691 2643 2634 2654 2681 2709 2741 2759 2790 2831 2887 2948 2995 3008 3004 2996 2943 2784 2484 2054 1568 1163 921 811 774 750 716 669 590 483 403 343 295 253 211 169 128 80 50 29 14 7 6 5 4 3 2 2 1 1 1 1 1 1 1 1 2 3 2 4 3 2 2 3 4 3 7 2 1 2 2 2 4 6 8 7 5 2 1 1 1 3 7 10 9 6 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
144 134 123 108 103 82 63 51 39 24 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 132 706 1685 2517 2822 2795 2727 2695 2702 2730 2764 2795 2805 2828 2863 2910 2967 3018 3038 3031 2975 2843 2597 2230 1784 1340 996 812 726 671 615 555 498 424 341 279 237 206 178 144 100 62 36 22 12 5 4 3 3 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 3 2 2 2 1 0 1 6 3 2 2 3 3 2 2 2 1 0 0 1 1 1 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
114 112 104 91 88 73 58 45 33 21 9 4 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 70 496 1361 2327 2835 2878 2820 2778 2767 2777 2805 2846 2846 2850 2888 2933 2976 3007 2993 2864 2643 2376 2067 1723 1368 1046 808 678 606 547 487 423 353 281 222 179 153 136 119 94 57 28 14 9 6 5 4 3 3 2 1 1 2 2 2 2 2 2 3 2 2 2 2 1 1 1 1 1 0 0 0 1 1 1 1 2 2 3 2 0 0 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
93 90 83 74 70 66 57 43 29 16 8 8 4 1 0 0 0 0 2 3 1 0 0 0 1 0 0 0 0 41 344 1083 2122 2816 2940 2910 2873 2860 2860 2866 2881 2876 2879 2925 2974 2992 2934 2709 2290 1861 1515 1257 1050 859 682 556 474 427 385 337 280 218 169 135 103 81 65 51 36 20 10 7 6 6 5 4 2 2 2 1 2 2 2 2 2 3 3 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 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 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0
73 69 62 55 52 51 47 40 29 17 7 6 8 5 2 0 0 0 0 1 0 0 0 0 0 0 0 0 0 22 207 803 1841 2718 2958 2988 2967 2956 2956 2949 2929 2919 2931 2967 2954 2850 2585 2064 1476 1028 754 604 510 428 358 321 275 252 227 196 159 124 102 80 54 33 20 12 7 5 5 6 6 5 4 3 1 1 1 1 2 2 2 2 2 3 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 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 0 0 0 0 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0
51 48 44 39 36 33 32 30 24 14 5 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 91 540 1504 2508 2925 3046 3055 3037 3024 3011 2987 2974 2975 2923 2699 2312 1819 1254 800 530 390 308 247 198 163 156 144 133 119 103 88 76 63 45 25 12 5 3 3 5 6 6 6 4 3 1 0 0 0 1 1 2 2 2 1 1 2 2 2 1 1 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
29 31 32 31 29 25 23 22 17 10 5 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 38 384 1217 2237 2848 3077 3128 3112 3085 3066 3047 3015 2844 2554 2071 1485 953 588 411 302 232 171 126 102 79 76 76 71 62 53 47 43 30 19 9 4 3 4 5 6 6 6 5 3 2 0 0 0 0 0 0 1 1 1 0 0 1 1 1 1 0 0 0 1 0 0 0 1 1 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 0 0 0 0 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 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 0 0 0 0
11 14 17 20 22 21 19 16 12 6 3 2 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 30 319 1032 2011 2770 3096 3190 3180 3147 3116 3049 2833 2307 1761 1216 740 419 282 237 190 139 96 73 66 54 47 47 42 32 23 17 14 7 4 2 2 3 4 5 6 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 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 1 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 0 0 0
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