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 5 5 6 6 5 4 4 5 4 3 2 2 3 5 7 7 7 6 5 5 6 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 8 8 7 7 6 6 7 7 7 7 7 7 6 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 7 7 6 5 3 1 1 4 9 11 11 11 10 10 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 4 4 6 7 5 4 4 5 5 5 4 3 3 4 6 8 8 7 6 5 6 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 7 6 6 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 6 7 7 7 7 7 7 6 4 1 1 3 7 10 11 11 11 11 10 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 4 4 5 7 6 5 4 5 6 6 6 5 4 4 6 8 8 8 7 6 6 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 7 6 6 6 7 7 7 8 9 9 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 5 3 2 2 6 9 11 11 12 12 11 10 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 4 3 4 6 6 6 5 6 7 7 7 6 6 5 6 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 7 7 6 6 7 8 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 7 8 8 7 7 7 7 7 7 7 7 7 6 5 3 2 4 7 9 11 12 12 12 12 11 10 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 nan
nan 4 4 4 6 6 6 6 7 7 7 7 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 7 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 7 7 7 7 6 6 6 6 5 6 7 8 8 7 7 7 7 6 6 7 7 7 6 6 3 2 2 4 6 8 11 13 13 13 12 11 9 9 8 8 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 nan
nan 5 4 5 7 8 7 7 7 7 7 7 7 7 7 8 8 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 7 7 7 7 7 6 6 6 5 6 7 8 8 7 7 7 7 7 7 7 7 7 7 6 4 3 2 2 3 5 9 12 13 13 12 11 10 9 8 8 8 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 nan
nan 6 4 4 7 8 8 6 6 6 6 7 7 8 8 9 8 7 7 8 9 10 10 9 8 7 7 7 7 8 8 8 9 9 9 9 8 8 8 7 7 7 7 7 8 8 7 7 6 6 7 8 8 7 7 8 8 8 7 7 7 7 7 6 6 6 5 6 7 8 8 7 7 7 7 7 7 7 6 7 7 6 5 4 4 3 2 3 5 8 11 12 11 11 11 10 9 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 nan
nan 8 4 4 5 7 7 6 6 5 5 5 6 7 8 9 9 9 9 9 9 10 11 11 10 8 7 6 7 8 8 9 9 9 9 8 8 8 8 8 7 7 7 7 8 8 7 6 6 6 7 8 8 7 8 8 8 8 7 6 6 7 7 7 6 6 5 5 6 7 8 8 7 7 7 7 7 7 6 7 7 6 6 6 5 4 3 2 3 4 6 7 9 10 11 10 9 9 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 nan
nan 10 7 4 4 6 7 7 7 6 5 4 4 5 6 8 9 9 10 10 9 9 11 13 13 11 8 6 6 6 8 8 9 9 8 7 7 7 8 8 8 6 6 7 8 8 7 6 5 6 7 8 8 8 8 8 7 8 7 6 6 7 7 7 7 6 6 5 5 6 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 4 3 2 2 1 2 5 8 10 10 10 9 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 11 9 7 5 6 8 9 9 7 5 4 4 4 4 6 7 9 10 9 7 7 10 13 15 13 10 7 6 6 7 8 8 8 6 5 5 6 8 8 7 7 6 7 7 7 6 6 5 6 7 7 7 8 8 7 8 8 8 6 6 6 7 7 7 7 7 7 6 6 6 7 8 7 7 7 7 7 7 7 8 8 7 7 7 7 6 5 4 2 1 1 3 5 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 11 11 9 6 7 8 10 10 8 7 6 6 5 4 5 6 8 9 8 6 6 8 11 14 14 12 10 8 7 7 8 8 7 5 4 5 6 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 8 8 8 7 6 6 7 7 7 8 8 8 7 6 6 7 8 7 7 7 7 7 7 8 9 9 7 7 7 7 6 5 5 5 4 4 3 3 5 7 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 9 11 10 7 7 8 10 10 9 8 7 7 6 5 5 6 8 9 8 7 6 7 8 11 13 13 12 10 8 8 9 9 7 5 5 6 6 7 7 7 7 7 7 7 8 7 7 6 6 7 8 7 7 7 7 7 8 8 7 6 6 7 7 7 8 9 9 8 6 6 7 7 7 7 7 7 7 7 8 9 9 7 7 7 7 7 6 6 6 7 6 4 3 3 4 5 7 7 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 nan
nan 6 8 9 8 7 8 8 8 8 8 8 7 6 6 7 8 8 8 7 7 7 7 7 9 11 13 12 11 10 10 10 10 8 7 7 6 7 7 7 7 7 7 7 7 8 8 8 7 6 7 8 8 7 6 6 6 7 8 8 7 7 7 7 7 8 8 9 9 8 7 7 7 7 7 7 6 6 7 8 10 9 7 7 7 7 7 7 7 7 8 7 5 3 3 3 3 4 6 7 7 7 7 7 7 7 7 7 7 7 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 nan
nan 4 4 6 7 7 7 7 7 7 8 8 7 6 7 8 9 8 6 5 6 7 7 7 8 9 10 11 11 11 11 11 10 10 10 9 8 7 7 7 7 7 7 7 7 8 8 8 7 7 8 9 8 8 7 6 6 7 7 8 8 7 7 7 7 7 8 8 9 9 8 7 6 6 6 6 6 6 7 9 10 9 8 7 7 8 8 8 7 7 7 7 5 5 4 4 3 3 4 5 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 nan
nan 3 2 4 6 7 7 6 6 7 8 8 7 7 8 10 10 7 4 3 5 7 8 8 8 7 7 9 10 10 10 9 10 10 11 10 9 8 8 7 7 6 7 7 7 7 8 8 7 7 7 8 9 8 8 6 6 7 7 8 8 8 7 7 7 7 7 8 9 9 9 7 6 6 6 5 5 6 7 9 10 9 8 8 8 9 9 8 7 6 6 6 6 6 6 5 3 3 3 4 6 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 nan
nan 3 1 2 4 6 5 4 5 7 7 7 7 7 9 10 10 7 4 4 6 7 8 9 9 8 6 7 8 8 8 8 7 8 9 10 9 8 8 8 7 6 7 7 7 7 7 7 7 7 7 7 8 9 8 7 6 7 7 8 8 8 8 7 7 7 7 8 9 9 8 7 6 6 6 6 5 6 7 9 9 9 8 8 9 9 9 8 6 6 6 7 7 6 6 5 5 4 4 4 6 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 nan
nan 4 2 1 3 5 5 5 5 6 7 7 7 8 9 10 9 7 7 6 7 7 8 9 10 10 8 7 8 8 8 8 7 6 7 8 8 8 9 8 7 7 7 8 7 7 6 7 7 7 7 7 8 9 9 7 7 7 7 8 8 8 8 7 7 7 7 8 9 9 8 7 7 7 7 7 6 6 7 8 8 8 8 8 9 9 8 7 6 6 6 7 7 7 6 5 6 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 7 nan
nan 7 3 2 3 5 6 6 7 8 7 7 7 9 10 10 8 8 8 8 8 7 7 8 10 11 10 9 9 9 9 10 8 6 6 7 7 8 9 9 9 8 8 8 8 7 7 6 6 7 7 8 8 9 8 7 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 8 8 8 7 6 6 6 6 7 7 8 8 8 8 7 7 7 7 8 8 7 6 6 6 6 6 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 7 7 7 nan
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nan 9 6 3 3 4 6 8 9 10 11 11 12 12 13 11 8 7 8 10 9 8 7 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 8 8 7 7 7 6 7 7 8 9 10 9 8 7 7 7 7 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 8 9 9 8 7 6 5 5 4 4 6 7 8 8 9 8 8 8 7 7 7 7 6 6 6 6 5 3 3 3 3 2 1 1 2 3 5 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 6 7 7 7 7 7 7 nan
nan 8 6 4 2 3 5 8 9 10 11 11 11 11 11 9 6 6 8 9 9 8 7 7 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 10 11 10 9 8 8 7 7 7 7 8 9 10 10 9 8 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 8 9 8 8 7 7 6 5 4 4 6 7 8 9 9 8 8 7 7 7 7 6 6 6 8 7 5 4 3 3 3 1 -1 -3 -2 -0 2 5 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 6 4 2 2 5 7 9 10 10 9 9 9 10 8 5 6 7 8 8 8 7 7 8 8 8 7 6 6 7 7 8 8 8 8 8 8 8 10 10 10 9 8 8 8 8 7 8 8 9 10 10 9 8 8 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 7 7 7 8 8 8 7 8 8 8 7 5 5 6 7 8 9 9 8 7 7 7 7 7 6 6 7 9 8 6 5 5 4 3 1 0 -1 -1 -0 1 4 6 6 6 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 6 4 2 2 4 6 8 10 10 9 8 9 10 8 5 6 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 7 6 5 6 6 7 8 9 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 8 8 8 7 7 7 8 8 7 6 6 7 8 9 9 8 7 7 7 7 7 6 7 9 9 9 7 6 6 5 4 3 3 3 3 3 2 3 4 5 5 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 7 5 3 2 3 5 7 9 10 10 10 9 8 6 5 6 7 7 7 6 6 7 7 7 7 8 10 10 9 7 7 6 5 4 4 5 6 7 8 9 9 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 7 7 7 7 8 9 9 8 7 7 7 6 6 6 8 9 9 9 8 7 6 5 5 5 5 6 6 5 4 3 3 3 4 5 6 6 6 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 8 6 4 2 3 5 7 9 10 11 10 8 6 5 4 5 7 8 8 7 7 8 7 6 6 8 11 11 10 8 7 5 3 2 3 6 7 7 6 6 7 9 11 11 11 10 10 9 8 8 7 7 7 7 7 8 8 8 8 9 9 10 9 8 7 6 6 7 6 6 6 7 8 8 8 8 7 7 7 7 7 7 7 7 8 9 9 9 8 7 6 5 5 7 9 9 9 8 7 7 6 6 5 6 6 7 7 6 5 4 3 3 4 4 5 6 6 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 8 7 5 3 3 5 7 8 10 10 9 6 5 4 4 4 7 9 9 8 7 8 7 7 7 8 9 9 9 9 8 6 3 2 3 7 9 8 5 4 4 7 10 11 11 11 10 9 8 7 6 6 6 6 7 7 7 7 8 9 10 10 11 10 9 8 7 7 6 5 5 6 7 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 8 7 6 5 6 7 9 9 8 7 7 7 6 6 5 6 7 7 7 7 6 6 5 5 5 5 5 6 6 7 7 7 8 8 9 9 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 7 6 5 3 2 3 5 7 8 8 6 4 4 4 3 3 6 9 10 9 8 9 9 8 8 9 8 7 8 9 8 7 5 4 4 7 9 9 8 5 2 4 8 9 10 11 11 10 8 6 5 5 5 5 6 6 6 7 7 8 9 10 11 11 11 10 10 8 7 5 5 5 6 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 7 7 6 6 6 6 5 6 7 7 7 7 7 7 7 7 7 6 5 6 6 7 7 8 8 8 9 9 9 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 6 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 nan
nan 8 7 6 6 4 2 2 4 5 6 6 5 4 5 5 4 3 5 8 9 9 9 10 11 10 9 9 8 7 8 8 8 8 7 5 4 5 8 10 10 7 4 4 6 8 9 10 10 10 7 5 4 4 4 5 6 6 6 7 7 7 7 8 9 10 11 11 11 10 8 7 6 5 5 6 8 8 8 7 8 7 7 7 7 7 7 7 7 6 6 7 8 8 9 8 8 7 7 6 6 6 6 5 6 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 nan
nan 9 7 7 7 6 3 2 3 4 4 5 6 7 8 8 6 4 5 7 9 9 10 11 12 11 10 9 9 8 8 8 8 8 6 4 3 4 7 9 10 9 7 6 7 8 9 10 10 9 7 5 4 4 4 5 6 7 7 7 7 6 6 6 7 8 9 10 11 11 11 10 8 6 5 6 8 9 8 8 8 8 7 7 8 9 9 8 6 5 5 7 8 9 9 8 7 7 7 7 6 6 5 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 nan
nan 8 8 7 7 6 5 4 4 4 4 5 7 10 11 10 8 6 5 6 8 9 11 12 12 12 11 10 9 9 9 9 9 8 6 4 3 4 6 8 9 9 8 8 8 9 9 10 11 9 6 4 4 4 5 7 7 8 8 7 7 7 7 6 6 7 7 8 10 11 12 12 10 7 6 6 8 9 9 8 8 8 7 6 8 10 10 8 6 5 5 6 8 8 8 8 7 7 7 7 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 nan
nan 7 8 8 8 8 7 6 5 4 3 4 7 10 11 11 10 7 5 5 7 9 10 11 12 12 11 10 10 10 9 9 9 9 7 4 3 4 5 6 7 8 8 8 8 9 9 10 11 9 6 4 3 5 6 8 9 9 8 7 6 6 6 7 6 6 6 7 9 11 12 13 11 9 7 6 7 8 9 9 9 8 7 7 9 10 11 9 7 5 5 6 7 8 7 7 7 8 8 7 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 7 8 9 11 10 9 7 5 4 4 6 7 9 11 11 10 6 5 6 7 8 10 11 11 10 9 9 9 9 9 9 9 7 5 4 4 4 5 6 7 7 8 8 8 9 10 11 10 7 4 4 5 7 8 9 8 7 6 5 5 6 6 6 6 6 7 9 10 12 12 12 11 10 8 7 7 8 8 9 9 8 8 9 10 11 10 8 6 5 6 6 7 7 7 7 7 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 7 7 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 6 7 9 11 12 10 8 6 4 4 4 5 7 9 12 12 8 5 5 5 6 8 9 10 9 8 8 8 8 8 8 8 8 7 6 5 4 4 5 5 6 7 7 7 8 9 11 11 8 6 5 5 6 7 6 5 5 5 5 6 6 6 6 6 6 8 10 12 12 12 11 11 11 10 9 8 7 7 8 8 9 10 10 10 11 11 10 7 6 5 6 6 7 6 7 7 7 7 7 7 7 8 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 6 5 5 4 4 4 4 4 4 4 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 nan
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nan 11 11 11 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 9 10 10 10 9 9 9 8 8 8 8 8 8 8 6 5 6 8 10 11 11 11 12 12 13 13 12 12 12 12 11 10 9 10 12 13 13 12 11 11 11 12 15 16 17 18 18 18 18 19 19 19 19 18 17 15 13 12 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 7 6 6 7 7 7 7 7 7 6 6 7 9 10 10 9 9 8 8 8 8 8 8 8 8 8 7 5 5 7 10 11 11 11 10 10 11 11 11 12 13 14 14 12 11 11 12 12 12 11 10 10 10 11 12 13 14 14 13 12 12 13 14 16 18 18 18 16 13 12 12 12 12 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 9 10 10 10 10 9 9 9 8 7 7 6 6 6 6 6 7 8 9 10 9 8 7 6 7 8 9 9 9 9 8 8 8 8 8 9 9 9 9 8 7 6 6 9 11 12 11 10 10 10 10 10 10 11 12 13 13 13 12 12 12 11 9 9 9 9 10 10 11 10 10 10 9 8 7 7 7 8 9 9 9 8 7 9 13 15 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 nan
nan 10 10 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 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 6 7 7 7 8 8 9 10 11 11 11 10 9 9 9 9 9 8 8 7 6 6 7 9 10 10 10 10 9 8 8 9 9 9 9 8 8 8 9 8 9 9 9 10 10 10 9 8 8 9 11 12 12 11 10 10 10 9 9 9 10 10 10 11 11 11 11 10 9 8 9 9 10 10 10 11 11 11 11 11 12 11 10 7 5 4 3 1 2 5 9 12 13 12 11 11 11 11 11 12 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 6 6 6 7 7 8 9 10 11 11 11 10 9 9 9 9 10 10 10 9 8 7 7 8 9 10 10 10 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 11 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 11 11 13 14 15 16 17 16 14 12 10 8 8 9 11 13 13 11 11 13 14 14 14 14 14 13 13 13 13 13 14 14 15 14 14 13 13 13 13 13 12 12 nan
nan 11 11 11 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 6 6 7 7 8 9 9 10 10 10 10 9 9 9 10 10 10 10 9 8 8 8 8 8 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 8 9 11 12 13 14 15 16 16 18 19 19 18 18 19 20 22 22 19 18 18 19 19 19 18 17 16 16 15 15 15 17 20 21 20 18 16 15 15 14 14 13 13 13 nan
nan 11 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 9 9 8 8 9 9 9 10 10 10 9 8 8 8 9 9 10 10 10 10 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 9 9 9 9 9 9 9 9 8 8 8 8 8 7 8 8 8 8 9 10 11 12 12 12 12 13 14 16 18 19 20 21 22 23 23 22 22 22 23 23 23 23 22 20 19 18 18 19 21 23 23 22 19 17 15 15 14 14 13 13 13 nan
nan 11 11 11 11 11 11 11 11 10 10 10 10 9 10 10 10 10 10 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 9 9 9 9 8 8 7 7 8 9 9 10 10 9 9 8 8 8 9 10 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 13 14 15 15 15 15 16 16 17 18 19 21 22 23 23 22 23 23 23 22 20 19 18 18 17 17 16 15 15 14 14 13 13 nan
nan 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 10 11 12 12 11 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 8 8 7 8 8 9 9 9 8 8 8 8 8 9 10 11 11 12 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 10 10 10 10 9 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 12 13 14 15 16 18 20 22 24 24 23 19 16 15 16 19 20 20 19 18 16 14 13 13 nan
nan 11 11 11 11 11 10 10 10 10 9 9 9 10 10 9 9 9 9 8 8 8 8 9 10 13 14 15 14 13 11 11 10 9 8 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 9 8 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 7 6 5 5 5 5 5 5 6 8 9 9 9 9 10 10 10 10 10 9 9 9 8 8 9 9 9 10 10 10 11 11 11 11 10 10 10 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 11 11 12 14 16 18 19 20 20 18 17 17 18 19 19 18 16 14 12 11 10 nan
nan 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 11 14 16 16 15 13 12 12 12 11 10 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 7 7 6 7 8 9 10 10 9 9 8 8 8 9 9 10 10 10 10 11 10 10 10 9 9 10 10 10 9 8 7 6 5 5 5 5 5 5 5 5 7 9 10 9 9 10 11 11 10 10 10 9 9 9 9 9 9 9 9 9 10 11 12 13 13 11 9 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 10 11 12 13 14 15 17 16 14 11 9 7 7 7 7 7 7 7 6 nan
nan 11 11 11 11 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 11 13 16 16 15 12 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 9 9 9 9 9 8 8 8 9 9 9 10 10 11 10 10 10 10 10 10 10 9 8 6 4 3 3 3 5 6 6 7 8 10 11 11 10 8 8 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 12 13 12 10 9 8 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 11 8 5 1 -0 -0 1 2 3 4 5 5 nan
nan 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 11 12 15 16 15 12 10 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 11 11 10 9 9 9 8 8 8 7 7 6 6 6 7 7 7 8 8 8 8 8 8 8 8 9 9 9 10 11 11 11 11 11 10 9 9 10 9 9 9 9 9 8 9 9 9 10 9 9 10 9 9 9 8 7 6 4 4 4 4 5 6 7 9 10 12 13 13 12 9 8 8 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 9 10 10 10 10 9 8 7 8 8 9 9 10 11 11 10 10 10 10 10 11 11 11 11 10 10 10 9 7 4 2 2 2 2 2 2 3 4 4 5 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 9 8 9 9 9 10 11 11 12 14 16 16 14 11 9 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 7 7 7 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 9 9 10 11 11 12 12 12 12 12 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 5 5 5 7 8 9 9 9 10 11 13 13 13 12 11 10 9 9 9 8 8 8 8 9 9 9 8 7 7 7 8 8 8 8 8 9 9 9 10 10 11 11 10 9 9 8 9 8 9 10 11 12 11 11 11 10 10 10 10 11 10 9 8 8 7 4 2 1 1 3 4 5 5 5 5 5 6 6 nan
nan 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 12 13 15 17 16 13 11 9 8 8 7 6 6 6 6 7 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 6 6 6 6 6 7 8 8 8 8 8 7 7 8 9 9 10 11 12 12 12 13 13 13 12 12 11 10 9 8 7 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 7 8 10 10 10 9 10 11 11 11 10 10 10 10 10 10 9 9 8 7 7 6 7 7 6 5 5 5 6 6 6 7 7 7 8 8 8 8 8 10 10 11 10 10 10 9 9 10 11 12 12 11 11 11 10 10 10 10 10 9 9 8 6 3 0 -1 -1 1 4 5 6 6 7 7 7 8 8 nan
nan 10 9 9 8 8 7 7 8 8 8 9 9 9 9 10 10 11 11 12 12 14 17 17 15 12 9 8 7 7 6 6 6 6 6 6 7 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 7 8 8 9 9 8 8 8 9 9 10 11 12 12 12 12 13 12 12 12 12 11 11 10 8 7 7 6 5 5 5 6 6 6 5 5 5 5 6 6 7 8 8 8 7 6 7 8 9 9 7 7 7 8 8 9 9 10 9 8 7 7 7 7 7 6 6 7 8 8 8 7 7 7 7 7 6 6 5 6 8 10 11 11 11 10 10 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 9 7 4 3 3 4 6 7 8 8 9 9 9 9 10 10 nan
nan 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 12 14 16 18 16 13 10 8 7 7 7 6 6 6 5 5 5 6 7 7 8 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 7 8 8 9 9 9 9 9 10 10 11 12 12 12 12 12 12 12 12 12 12 12 11 10 9 9 8 7 6 6 5 5 5 5 5 5 5 5 5 5 6 6 5 4 4 5 7 8 9 8 6 6 6 7 6 6 7 8 8 9 10 11 11 11 9 9 10 11 12 12 11 9 8 7 6 5 5 4 5 6 8 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 13 13 13 12 11 11 11 11 10 10 10 10 nan
nan 8 8 8 8 8 9 9 9 9 8 9 9 9 9 10 10 11 12 13 15 16 16 14 10 7 6 6 6 6 6 6 5 5 5 5 5 6 8 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 8 8 9 9 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 11 10 10 9 9 8 7 7 6 6 5 5 6 6 6 6 6 6 6 6 6 6 7 10 12 12 11 9 8 8 8 7 7 7 7 7 9 11 13 14 13 11 10 9 10 11 11 11 11 9 7 5 3 3 4 5 6 8 10 12 12 11 11 10 10 10 10 10 11 11 10 10 10 9 9 10 10 10 10 11 12 14 17 19 19 17 15 13 12 11 11 10 10 10 10 10 nan
nan 9 8 8 8 8 9 9 9 9 8 9 9 9 10 10 11 11 12 13 14 15 14 11 8 5 3 4 5 5 5 5 5 5 5 5 6 7 9 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 8 8 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 11 11 11 10 10 10 10 10 9 8 7 7 7 8 8 8 8 8 8 8 8 9 11 13 13 12 10 9 8 8 9 9 10 9 9 9 11 12 13 12 10 9 8 8 7 7 7 7 7 6 3 2 2 3 5 6 8 10 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 13 15 16 16 14 12 10 10 10 10 10 10 10 10 10 10 nan
nan 8 8 8 8 7 7 8 8 8 9 10 10 11 11 11 11 11 11 12 13 13 13 11 7 4 3 3 3 4 5 5 5 6 6 6 7 8 9 10 11 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 12 12 13 13 13 12 12 11 11 10 10 9 9 9 8 8 8 9 10 10 10 9 7 6 7 7 9 9 10 11 11 11 11 11 10 9 7 7 7 8 8 8 7 6 5 4 3 3 3 4 6 7 9 11 12 13 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 12 13 13 12 9 8 7 7 9 10 10 10 10 10 10 10 10 nan
nan 8 7 7 7 7 7 7 8 9 10 11 11 11 11 11 10 10 10 11 11 12 12 11 8 5 3 2 3 4 5 6 6 7 7 7 6 7 8 9 9 10 10 9 9 9 9 8 8 8 8 7 7 8 8 8 8 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 11 11 12 12 13 14 14 14 14 14 14 13 12 10 9 9 9 8 9 9 9 8 7 5 5 5 6 7 8 9 10 11 11 11 11 11 9 7 7 8 9 10 10 10 10 8 6 5 6 7 8 8 9 10 11 13 14 13 12 11 11 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 9 10 11 11 11 9 8 8 8 10 10 10 11 11 11 11 11 11 11 nan
nan 7 7 7 8 8 8 8 9 10 11 12 12 12 11 11 10 10 10 10 10 11 12 11 8 6 4 3 3 4 5 6 7 8 7 6 5 5 6 7 8 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 7 8 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 10 11 11 12 12 12 12 13 13 14 13 12 11 10 10 9 9 9 9 9 8 8 7 6 6 6 7 8 8 9 10 10 11 12 13 13 13 12 11 12 12 13 13 12 12 11 10 10 12 13 14 14 13 13 13 14 14 13 12 11 10 10 9 8 8 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 11 13 14 14 13 12 12 12 12 12 12 12 11 nan
nan 8 8 9 9 9 10 11 12 12 13 13 13 12 12 11 11 10 10 10 10 10 11 10 8 6 4 3 3 4 5 6 7 7 6 4 3 3 4 6 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 7 8 8 8 8 8 8 8 9 9 10 10 11 10 10 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 6 6 5 6 7 8 8 10 11 12 13 14 16 17 17 16 16 15 14 14 13 13 13 13 14 15 15 16 16 16 15 15 14 13 13 12 11 10 9 8 7 8 8 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 13 15 17 16 14 13 13 13 13 12 12 12 12 nan
nan 10 10 11 11 12 13 14 14 14 14 13 13 13 12 12 11 11 11 11 12 12 11 10 9 8 6 5 4 4 4 5 6 6 5 3 2 2 3 5 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 7 8 8 8 8 9 9 9 10 11 11 11 10 10 9 10 10 10 11 11 11 11 10 9 8 8 8 7 7 7 7 7 7 7 7 7 7 6 5 4 2 1 1 1 1 2 3 5 7 9 12 14 15 15 16 17 17 16 15 14 13 13 13 13 13 13 12 12 13 13 14 14 13 13 12 12 12 11 10 9 8 8 8 8 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 13 14 16 17 16 15 14 13 13 13 12 12 12 nan
nan 12 12 13 13 14 14 14 13 13 13 13 13 13 13 12 11 11 12 13 14 15 15 14 13 11 10 8 6 4 3 4 5 5 4 3 2 3 3 4 5 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 8 9 9 10 10 11 11 11 11 11 10 10 10 10 11 11 11 12 11 11 11 10 10 9 8 7 6 6 5 4 4 3 3 3 2 1 -0 -2 -3 -3 -3 -3 -3 -4 -3 -2 1 4 7 10 11 11 12 13 13 13 13 12 11 11 11 12 11 11 10 10 10 10 11 11 11 12 12 12 12 11 10 10 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 13 15 17 17 16 14 13 13 13 12 12 12 nan
nan 12 13 13 13 13 12 12 11 11 12 12 13 13 13 12 12 12 12 14 16 18 19 19 18 16 14 11 9 6 4 3 3 3 2 2 3 4 4 5 6 6 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6 6 6 7 7 8 9 11 12 12 12 12 11 11 10 10 10 11 11 12 12 12 12 11 12 13 14 14 13 11 9 8 7 5 4 3 2 1 0 -1 -1 -1 -1 -0 1 1 1 -0 -1 -2 -2 -2 -1 -1 0 2 5 8 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 11 11 12 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 14 16 17 16 15 14 13 13 13 12 12 nan
nan 11 11 11 10 10 10 9 10 10 11 12 13 13 12 12 11 11 11 13 14 16 18 20 19 18 16 13 11 8 6 4 4 3 1 2 3 4 6 7 7 7 7 7 6 7 7 8 8 8 8 9 9 9 9 9 8 8 8 7 7 8 8 8 9 9 9 8 7 6 6 6 6 7 8 9 10 13 14 14 13 12 11 11 11 11 11 11 11 12 12 11 11 12 13 15 16 16 15 14 13 11 10 8 7 6 5 4 4 4 4 5 6 7 8 8 8 8 8 7 6 3 1 -1 -1 1 5 9 10 9 9 8 8 9 9 10 10 10 9 9 8 8 8 9 9 9 10 11 12 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 11 12 13 14 15 16 15 14 14 13 13 13 13 nan
nan 9 9 9 9 9 9 9 10 10 11 12 12 11 11 10 10 10 10 11 12 13 14 15 16 16 15 13 12 10 8 7 5 3 2 2 4 5 8 9 9 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 7 8 8 9 9 9 9 9 9 7 6 6 6 7 7 8 9 11 14 15 15 14 12 11 11 11 11 11 11 11 12 11 11 11 11 12 13 14 15 15 15 15 14 12 12 11 11 11 10 10 10 11 11 12 12 13 13 13 14 14 14 13 11 9 8 8 10 11 11 10 10 9 9 9 10 10 10 10 10 9 8 8 8 8 9 9 9 10 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 13 14 16 16 17 17 17 17 16 15 nan
nan 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 12 12 11 10 9 8 5 4 4 5 7 9 9 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 9 8 7 6 6 6 7 8 8 10 13 15 16 15 13 12 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 12 13 14 14 14 14 14 14 15 16 16 16 16 16 16 16 16 17 17 18 19 19 18 18 17 16 17 16 15 13 11 9 8 8 8 9 10 10 11 10 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 11 11 11 10 9 9 9 9 10 10 10 10 10 11 11 12 12 13 12 12 12 11 11 11 12 14 15 18 21 23 23 22 21 20 nan
nan 8 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 11 11 10 9 7 6 6 7 9 10 9 9 8 7 8 8 9 10 10 10 9 9 9 9 10 10 9 9 9 8 9 9 10 10 10 10 10 9 8 6 6 6 7 8 8 8 10 13 15 16 15 13 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 11 12 13 15 16 18 19 19 19 19 19 19 19 20 20 21 22 23 23 22 21 20 19 19 19 19 17 14 11 8 7 7 8 10 11 11 11 10 9 9 9 9 10 10 10 10 11 12 13 13 13 12 11 11 11 11 10 9 9 9 9 10 10 10 10 11 11 12 13 13 13 13 12 12 11 10 11 11 12 14 17 21 23 24 23 24 25 nan
nan 9 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 10 9 8 8 9 9 11 11 10 9 8 8 8 8 9 10 11 10 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 9 8 7 6 7 7 8 8 8 8 10 13 15 16 15 13 12 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 11 12 14 15 17 17 17 17 18 19 19 21 22 23 23 23 23 22 21 20 20 20 19 20 20 19 17 14 11 9 9 10 11 12 11 10 10 9 9 9 10 10 10 11 11 12 12 13 13 13 12 11 12 12 11 10 10 9 9 9 10 10 10 10 11 12 13 13 13 12 12 11 11 10 10 10 10 10 12 14 15 17 18 19 22 24 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
108 73 40 17 7 5 2 2 11 9 5 2 0 0 0 1 2 0 0 2 2 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 0 0 1 3 4 5 6 7 8 8 8 9 9 10 10 9 10 10 11 12 12 13 13 12 11 11 11 11 11 10 9 8 8 8 8 8 7 6 7 7 9 10 10 10 11 11 11 11 11 12 10 9 8 8 8 8 8 6 6 6 6 6 6 6 7 7 8 8 9 9 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7
102 70 46 34 25 14 16 6 8 8 7 4 1 1 2 0 2 2 6 8 5 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 0 0 1 2 3 4 5 6 7 7 8 8 9 9 10 11 11 11 11 11 12 13 13 12 11 11 12 12 11 11 10 10 9 8 7 7 6 6 6 6 7 7 8 9 9 10 10 10 11 11 10 9 8 8 8 8 8 7 6 6 6 7 6 6 7 7 8 8 8 9 8 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7
105 84 72 68 65 47 47 29 19 18 15 9 3 4 8 1 1 3 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 5 5 6 6 6 7 6 6 7 8 9 9 9 10 11 12 12 11 11 11 11 11 11 9 9 9 9 8 7 7 6 5 5 6 6 6 7 7 8 8 9 10 10 9 8 7 7 8 8 8 7 6 6 6 7 7 7 7 7 7 7 8 8 8 7 8 7 7 7 7 7 7 7 7 8 7 7 7 6 5 5 5 6 6 7
132 129 119 106 96 79 69 55 49 43 36 28 17 12 7 3 3 5 8 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 3 3 3 4 4 5 5 5 6 6 7 7 8 9 10 10 11 10 11 10 10 8 7 8 10 10 9 7 6 5 5 5 5 6 6 5 6 6 7 8 8 7 5 5 5 6 6 7 6 5 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 5 6 6 7 7 8 8
148 152 144 123 101 92 82 69 71 69 62 53 38 17 7 6 7 9 10 9 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 2 3 3 4 4 5 5 5 6 6 5 7 8 8 9 8 8 8 7 7 9 9 8 6 7 6 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 6 6 7 7 7 8 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 7 7 8 8 9 8
145 145 137 120 105 99 98 87 89 85 72 59 44 24 12 8 6 8 10 10 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 4 5 5 5 6 6 7 7 7 7 8 8 7 7 7 8 7 6 6 6 6 5 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9
134 133 126 115 110 110 116 111 107 93 72 54 40 29 20 10 4 5 8 10 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 4 4 5 5 5 5 6 6 7 7 6 7 6 7 7 6 6 6 7 6 5 4 3 3 2 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 6 7 7 7 7 7 7 7 7 8 7 7 7 8 7 7 7 7 7 6 8 8 8 9 9 7 7 8 10 11
121 120 111 99 112 122 123 114 104 90 73 55 43 50 42 19 7 5 7 9 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 3 3 4 4 5 5 5 5 6 6 6 6 6 6 6 6 4 4 3 3 3 2 2 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 7 7 7 7 6 6 7 7 7 6 7 8 8 7 7 7 6 6 7 8 9 9 9 7 7 8 11 13 12
116 113 104 95 118 131 127 114 100 89 78 60 44 47 36 19 9 6 7 9 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 4 4 4 4 5 5 5 5 6 5 5 4 3 3 3 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 5 5 5 5 6 6 7 7 6 7 7 7 6 6 7 7 7 7 7 7 6 6 6 7 8 8 9 8 7 8 9 11 11
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