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 6 7 8 8 8 9 9 9 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 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 6 6 6 6 7 7 6 6 5 3 1 2 6 9 11 10 9 9 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 6 6 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 5 5 5 5 5 5 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 nan
nan 6 6 8 9 8 8 8 8 8 7 7 7 7 7 9 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 8 8 8 7 7 7 7 7 7 8 8 9 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 7 7 7 6 6 4 2 1 4 8 10 10 10 9 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 6 6 6 6 6 6 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 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 nan
nan 6 6 7 8 8 7 6 6 6 7 7 7 7 7 8 10 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 7 7 7 7 7 7 8 8 9 9 8 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 6 5 3 2 3 6 9 10 10 9 9 9 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 6 6 6 6 6 6 5 5 5 5 5 5 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 nan
nan 6 5 6 7 7 5 5 5 6 6 6 7 7 7 7 8 9 10 10 9 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 6 7 7 8 8 7 7 7 7 7 7 8 8 8 9 8 8 8 7 7 7 8 8 8 7 7 7 7 7 6 6 6 7 8 8 7 7 7 7 7 7 7 7 6 6 5 3 2 5 7 9 9 9 9 9 10 9 9 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 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 5 4 5 5 5 5 5 5 5 5 5 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 5 6 nan
nan 5 5 5 6 6 5 4 5 6 6 7 6 6 6 7 7 8 9 10 10 9 8 8 7 7 7 8 7 7 7 7 8 8 7 7 6 6 7 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 7 8 8 8 7 7 7 7 7 7 6 6 6 7 8 8 8 7 7 7 6 6 7 7 7 7 6 4 2 3 4 6 7 8 9 10 10 10 10 9 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 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 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 5 5 5 nan
nan 4 4 4 5 6 5 4 4 6 7 7 6 6 6 6 6 6 7 9 10 9 9 8 7 7 7 8 8 8 8 7 7 8 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 6 6 7 8 9 8 8 7 7 7 6 6 7 6 6 7 6 4 3 3 2 3 4 6 8 9 10 10 10 10 10 9 8 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 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 nan
nan 5 3 3 5 7 6 5 5 5 6 6 6 6 6 7 6 5 6 7 9 9 9 9 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 8 8 8 7 7 8 8 8 8 7 7 7 8 7 7 6 6 6 7 8 8 8 7 7 7 7 6 6 6 6 6 6 5 4 3 2 1 1 3 5 7 8 10 11 12 11 10 9 8 7 7 7 7 7 6 6 6 6 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 5 5 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 nan
nan 7 5 4 5 7 7 7 6 6 5 5 5 5 6 7 7 6 5 6 7 8 9 9 8 7 6 6 8 9 10 9 9 9 8 8 7 7 7 7 7 6 6 7 8 8 8 7 6 6 7 8 8 7 8 8 8 8 8 7 7 8 8 8 7 6 6 6 7 8 9 8 8 7 7 7 6 6 5 6 6 6 5 5 5 4 2 1 1 1 2 4 7 9 12 13 12 10 8 8 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 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 nan
nan 9 7 5 5 6 7 8 8 7 5 4 4 4 5 6 7 7 6 6 6 6 8 10 9 7 6 5 6 8 10 11 11 10 8 7 7 7 8 8 7 6 6 7 8 8 7 7 6 7 8 8 8 8 8 8 8 8 8 7 6 7 8 8 8 7 7 6 6 7 8 9 8 7 7 7 7 6 5 5 6 6 6 6 6 5 4 2 1 -0 -1 -0 2 6 11 13 13 11 9 8 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 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 nan
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nan 9 8 5 3 4 6 7 8 7 6 5 5 5 5 6 8 9 9 8 6 6 7 9 9 9 8 6 5 6 7 9 10 9 8 6 6 7 8 8 8 7 7 7 8 8 7 7 6 7 7 8 8 8 8 8 9 9 8 7 6 6 7 7 8 8 9 8 7 6 6 8 8 8 7 7 7 6 6 6 7 7 6 6 6 6 6 5 5 4 3 3 2 2 5 8 10 11 11 10 8 8 7 7 7 7 7 7 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 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 nan
nan 6 8 6 3 3 5 7 7 6 6 6 5 5 6 7 8 9 9 8 7 6 7 8 8 8 8 7 7 6 6 7 8 8 7 6 6 7 7 7 7 7 7 7 8 8 8 7 7 6 7 8 8 7 7 7 8 8 8 8 7 6 7 7 8 8 9 9 8 7 7 7 8 8 8 7 7 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 3 2 3 4 7 9 10 10 9 8 8 8 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 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 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 6 6 5 nan
nan 3 5 6 4 4 5 7 7 7 7 6 6 5 5 6 8 9 9 7 6 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 8 8 8 8 7 6 8 9 8 7 7 7 7 7 8 8 7 7 7 7 7 8 9 9 9 8 8 7 8 8 7 7 7 6 6 7 8 7 6 6 6 7 7 7 7 7 7 7 5 3 3 3 4 5 7 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 nan
nan 1 2 4 5 6 7 7 8 8 8 8 7 6 6 7 8 9 8 7 6 7 7 8 8 8 8 8 8 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 9 9 8 7 6 6 7 8 8 8 7 7 7 8 8 8 9 9 9 9 8 7 7 7 7 7 7 7 8 8 8 6 6 6 7 7 8 7 7 8 7 5 5 4 4 3 3 5 6 7 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 nan
nan 2 1 2 4 6 7 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 8 8 8 8 7 8 8 8 8 7 7 7 7 7 7 6 7 7 7 7 7 7 8 8 8 8 8 7 8 8 9 9 8 7 6 7 8 8 8 8 8 7 8 8 8 8 9 9 9 8 7 7 7 7 7 7 8 9 9 8 7 6 6 7 8 8 8 7 7 7 6 6 6 5 4 3 4 5 6 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 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 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 6 5 5 5 nan
nan 4 2 2 4 6 7 7 8 8 8 8 8 9 9 10 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 7 6 6 7 7 7 8 8 7 7 8 8 8 8 7 8 8 9 8 7 7 7 7 8 8 8 8 7 7 8 8 8 9 9 9 8 7 7 7 7 6 7 8 9 9 8 7 6 7 8 8 8 7 7 7 7 7 6 6 6 5 5 4 5 6 7 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 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 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 nan
nan 6 4 2 3 5 6 7 7 8 9 8 8 9 10 10 9 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 7 8 8 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 9 9 7 7 7 7 8 8 8 8 7 7 7 8 8 9 9 9 8 8 8 8 7 7 7 7 8 8 8 7 7 7 8 8 7 7 7 7 7 7 7 6 6 6 6 5 6 6 7 7 7 7 7 7 7 7 7 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 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 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 nan
nan 7 5 3 3 5 6 6 7 8 8 8 8 9 10 9 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 8 6 6 7 8 8 8 7 7 7 8 8 8 8 7 7 7 8 8 8 9 9 8 7 7 7 7 8 8 8 8 7 7 7 7 8 8 9 8 8 8 9 9 8 8 8 8 8 8 8 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 7 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 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 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 nan
nan 8 6 3 3 4 5 6 7 7 7 7 7 8 9 8 6 6 7 8 8 8 8 8 8 8 8 8 8 7 8 8 8 7 6 7 8 8 8 8 7 7 7 8 8 8 7 7 7 7 8 9 9 9 8 6 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 8 7 7 8 7 7 7 7 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 7 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 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 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 nan
nan 8 6 4 3 3 5 6 7 7 7 7 7 8 8 7 6 6 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 7 7 7 8 8 9 10 9 7 6 6 7 7 8 8 8 7 7 7 8 8 8 7 8 8 7 7 8 9 10 10 10 9 8 8 7 6 6 7 8 8 9 8 8 7 7 7 7 7 7 6 6 7 7 6 5 5 5 5 4 3 3 4 5 6 6 7 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 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 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 nan
nan 8 6 4 3 3 4 6 7 7 8 8 8 9 9 8 6 6 7 8 8 8 8 8 8 8 9 8 7 7 7 7 7 7 7 7 7 8 9 9 8 8 7 7 7 7 7 7 8 8 9 10 10 9 8 7 6 6 7 7 8 8 7 7 7 7 8 8 8 8 7 7 7 7 8 9 10 10 10 9 8 7 6 6 6 7 9 9 9 8 8 7 7 7 7 6 6 6 7 7 6 5 5 6 5 3 1 0 1 3 5 7 7 6 6 6 6 6 6 5 5 6 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 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 7 7 6 6 6 6 6 6 5 5 5 5 nan
nan 8 7 5 3 3 4 6 6 8 9 9 9 10 10 8 6 7 8 9 8 8 8 8 8 8 9 9 8 7 7 7 8 8 8 7 7 7 8 9 9 8 8 7 8 8 8 8 8 9 10 10 10 9 8 8 7 7 7 7 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 8 9 9 9 10 10 9 7 6 7 7 8 9 9 8 7 7 7 7 7 6 6 7 8 8 6 6 5 5 4 3 2 1 1 3 5 7 7 6 6 6 5 5 5 5 5 5 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 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 6 6 6 6 6 nan
nan 9 8 5 3 2 3 5 7 8 10 10 10 9 10 8 6 7 9 9 9 9 8 8 8 9 9 9 9 9 8 7 8 9 8 7 6 6 7 8 9 8 7 6 7 8 9 9 9 9 9 10 9 9 9 8 8 8 8 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 7 7 8 8 9 10 8 7 7 7 7 7 7 7 8 8 8 7 6 5 5 4 4 4 4 5 6 7 7 7 6 6 6 5 5 5 5 5 5 5 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 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 6 6 6 6 6 nan
nan 9 8 6 3 2 3 5 7 9 10 11 10 9 9 7 6 7 9 10 10 9 9 9 8 8 8 10 11 11 9 7 7 8 7 7 6 6 6 7 7 7 6 6 7 9 10 10 9 9 9 9 9 8 9 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 9 10 10 9 8 7 6 6 6 7 7 8 8 8 7 6 6 5 4 5 5 6 7 8 7 7 6 6 6 6 5 5 5 5 5 5 5 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 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 6 6 6 nan
nan 9 9 7 5 2 3 5 7 9 11 12 12 10 9 6 5 6 9 11 11 10 9 9 8 7 8 9 12 12 10 8 7 6 5 5 5 6 6 6 5 5 5 6 7 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 7 6 7 7 6 6 6 7 7 8 8 8 7 7 7 8 8 7 8 8 9 10 10 9 8 7 6 5 5 7 8 8 8 8 7 7 6 5 5 5 6 7 8 8 7 6 6 6 6 5 5 5 4 4 4 5 5 6 6 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 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 nan
nan 10 9 8 5 2 2 5 7 10 13 15 14 12 10 8 6 6 8 10 11 9 8 8 7 7 7 9 10 11 10 8 7 5 4 4 5 7 7 6 5 4 4 5 7 9 10 10 10 10 9 8 7 7 7 8 8 8 8 8 7 8 8 9 9 9 8 7 7 7 6 5 5 6 7 8 8 8 7 7 7 7 7 7 7 8 8 9 10 9 9 8 6 5 5 7 8 9 8 7 7 7 6 6 5 6 7 7 7 7 6 6 7 7 7 6 5 5 4 4 4 4 5 6 7 7 8 8 8 8 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 7 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 nan
nan 11 10 9 6 3 1 3 6 9 13 15 15 13 12 10 8 6 8 10 11 10 8 8 8 7 7 9 9 8 8 8 6 5 4 4 5 7 8 8 6 4 3 4 6 8 9 10 10 10 9 8 7 6 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 7 6 5 5 6 7 7 8 8 8 8 8 7 7 7 7 8 8 9 9 9 8 8 7 7 6 7 8 8 8 7 7 6 6 6 6 6 7 7 7 7 6 7 7 8 8 7 6 5 5 4 4 5 5 6 7 8 8 8 8 8 8 7 7 7 7 7 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 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 nan
nan 11 10 9 9 6 2 2 4 7 9 12 13 12 12 11 9 7 8 10 11 10 10 10 9 8 8 9 8 7 7 7 6 5 4 4 4 6 8 9 8 6 4 4 6 7 9 9 10 10 8 7 6 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 7 6 6 5 5 6 8 8 8 7 8 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 7 7 7 7 6 6 5 6 6 7 7 7 7 7 7 7 8 8 8 7 7 6 5 5 5 6 6 7 8 8 8 8 8 8 7 7 7 7 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 8 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 8 8 9 8 5 4 4 4 5 7 9 10 11 11 9 7 7 9 11 11 11 11 10 9 8 9 8 8 8 8 7 6 5 3 3 5 7 8 8 7 6 6 6 7 8 9 9 9 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 7 5 5 6 7 8 8 7 8 8 7 7 8 8 9 8 7 6 6 7 8 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 8 7 7 7 7 7 7 8 9 9 8 8 7 7 7 8 8 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 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 nan
nan 7 7 7 8 8 6 6 5 4 3 4 7 9 11 11 9 7 6 8 10 11 11 11 10 8 8 9 9 8 8 8 7 6 5 3 3 4 6 7 8 8 7 7 7 7 8 8 9 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 10 11 10 8 6 6 6 7 8 8 8 8 8 7 7 8 9 9 8 7 5 6 7 8 9 9 9 9 9 8 8 7 6 5 6 7 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 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 nan
nan 8 7 7 7 8 8 8 7 5 3 4 6 9 11 11 11 9 6 6 8 10 11 11 10 9 8 9 9 9 8 7 7 7 5 4 3 4 5 6 7 8 8 8 8 8 8 8 9 9 7 5 5 6 7 8 8 7 7 6 7 7 8 8 7 6 6 7 8 10 11 11 10 8 7 7 7 8 8 8 8 8 7 7 8 9 10 9 7 5 5 7 8 9 9 9 9 10 9 8 8 7 6 6 8 9 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 9 10 11 10 9 8 8 7 7 7 7 8 8 8 8 8 7 7 7 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 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 7 7 7 8 8 8 7 6 4 3 5 8 10 12 13 11 7 5 6 8 10 10 11 10 9 9 9 9 8 8 8 7 6 4 4 4 5 5 6 7 8 9 9 9 8 8 9 9 7 5 5 6 7 8 8 7 7 6 6 7 8 8 7 6 6 7 9 10 11 12 11 10 9 8 7 7 7 8 8 8 8 8 8 9 9 9 7 6 5 6 8 9 9 9 9 9 9 9 8 8 7 8 9 9 8 8 8 7 7 7 6 6 7 8 8 8 8 8 9 10 11 11 10 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 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 8 8 nan
nan 8 8 7 8 8 7 7 7 5 4 3 4 6 8 11 13 13 9 6 5 6 8 9 10 11 11 11 10 9 9 8 8 7 6 6 6 5 5 5 6 7 8 8 9 9 9 9 9 9 7 6 5 6 6 7 7 6 7 7 7 7 8 8 7 6 7 9 11 12 12 12 11 11 11 10 8 7 7 7 7 8 9 9 9 8 8 9 8 7 6 6 7 8 9 9 9 9 9 9 9 8 8 9 9 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 10 11 12 11 8 7 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 8 7 7 7 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 8 8 8 8 8 nan
nan 7 7 7 7 7 7 6 6 5 4 2 3 4 6 9 11 12 10 7 5 5 7 8 10 11 12 12 11 11 10 10 10 9 7 7 7 7 6 6 5 6 7 8 8 8 8 9 9 8 8 7 6 6 6 6 5 5 6 6 7 8 8 8 7 7 8 10 13 14 14 12 12 12 12 11 10 8 7 6 6 6 8 9 9 8 8 8 8 7 6 6 7 8 8 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 10 12 11 9 7 5 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 nan
nan 6 6 6 7 7 7 6 6 5 3 3 3 3 5 7 9 11 10 7 5 5 6 7 9 11 12 13 13 13 13 13 12 11 9 8 8 8 8 7 5 5 6 7 7 8 8 8 8 8 8 8 7 6 6 5 5 5 5 6 7 8 8 7 7 7 8 10 13 14 14 13 12 12 12 12 11 10 9 7 6 6 7 8 10 9 8 7 7 6 6 6 7 8 8 8 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 10 9 7 6 5 6 6 5 4 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 nan
nan 6 6 6 6 6 6 7 7 6 4 4 4 4 5 6 8 10 10 8 6 5 6 7 8 10 11 13 14 13 13 13 14 13 12 10 9 9 9 7 5 4 5 7 8 8 8 8 7 8 9 9 8 7 6 5 4 4 4 6 6 6 6 6 7 7 8 11 13 13 13 12 12 12 12 12 12 11 10 9 7 6 6 8 10 10 9 7 6 5 6 6 7 7 8 8 8 8 9 10 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 6 6 7 7 6 5 5 4 4 5 5 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 nan
nan 7 7 7 6 6 6 7 7 7 6 6 6 6 6 7 8 9 9 8 7 7 7 8 8 9 11 13 13 12 11 11 12 12 11 10 9 10 10 8 5 3 4 7 8 8 7 7 7 7 9 10 10 8 7 5 4 2 2 4 5 5 5 6 6 7 9 11 12 11 10 10 11 11 11 11 11 11 11 11 9 7 7 8 10 11 9 7 6 6 6 6 6 7 8 8 8 7 8 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 8 8 7 6 6 5 4 4 5 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 nan
nan 8 8 8 7 7 6 6 7 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 11 12 12 11 10 10 9 9 8 8 8 9 10 10 7 5 5 7 8 8 7 6 6 7 8 10 10 10 9 8 6 3 1 2 3 4 4 5 6 7 10 11 11 10 8 8 9 10 10 10 10 10 11 11 10 8 7 8 9 10 9 8 7 7 7 6 5 6 7 8 7 7 7 9 10 11 10 9 8 8 8 9 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 8 9 9 8 8 7 6 5 5 5 6 6 6 6 6 6 6 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 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 9 9 nan
nan 8 8 8 8 8 7 7 7 8 8 8 9 9 8 8 8 7 5 5 6 8 8 9 9 9 10 11 11 11 10 10 8 7 6 6 6 7 9 11 9 7 6 7 7 7 6 6 5 6 7 8 9 10 10 10 9 5 2 2 2 2 3 4 5 7 9 11 11 9 7 7 8 8 8 8 9 9 10 11 11 10 9 9 9 9 9 9 9 9 8 6 6 6 6 6 6 6 7 8 9 10 10 9 8 9 9 9 8 8 8 8 7 7 7 8 7 7 7 8 8 8 8 8 9 10 10 10 10 9 6 5 5 5 6 5 5 6 6 6 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 nan
nan 7 7 7 8 8 7 7 7 8 8 8 9 8 8 8 8 7 5 5 6 7 9 9 9 9 9 9 9 9 10 10 8 7 6 6 6 6 8 10 9 7 7 7 6 6 7 6 5 5 6 7 8 9 11 12 11 8 5 3 2 2 1 2 4 6 9 10 10 8 7 7 7 7 7 8 8 9 10 11 11 11 11 11 10 9 8 9 10 10 10 8 7 7 6 6 6 6 6 7 9 9 8 8 9 10 9 9 8 8 9 8 8 8 8 7 7 7 7 8 8 8 8 9 10 10 10 11 10 9 6 6 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 nan
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nan 13 13 13 13 14 14 14 14 14 13 13 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 11 11 11 10 10 10 9 10 10 10 10 10 10 9 8 8 8 8 8 9 10 11 10 10 9 9 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 9 9 9 9 10 9 9 9 9 10 10 9 9 9 8 8 8 9 10 11 11 10 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 12 13 16 18 19 20 20 20 20 20 21 21 20 19 18 17 15 13 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 9 10 10 10 10 nan
nan 13 13 13 13 13 13 14 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 10 10 9 9 8 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 11 10 9 8 8 9 9 9 9 10 10 11 11 12 12 11 11 11 10 10 10 10 11 11 11 12 14 15 16 16 15 13 13 14 16 18 20 20 19 17 14 13 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 nan
nan 12 12 12 12 12 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 11 12 12 12 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 9 9 10 10 11 11 11 10 10 10 10 9 9 10 10 10 9 8 8 9 9 9 9 9 9 9 9 10 10 9 8 8 9 10 11 11 10 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 11 10 10 9 9 10 11 11 11 12 12 11 11 9 7 6 5 6 8 10 11 11 10 10 11 13 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 11 11 11 10 10 10 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 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 9 9 10 10 9 8 7 7 8 9 9 9 9 9 9 9 10 10 10 9 9 8 9 10 10 10 10 10 9 10 10 10 9 9 9 9 10 10 11 11 10 10 9 9 9 10 10 11 12 12 11 11 11 10 11 10 9 7 4 3 3 2 2 4 6 9 12 13 12 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 nan
nan 12 12 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 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 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 9 9 10 10 10 9 7 7 7 8 8 9 9 10 10 10 10 9 9 9 9 8 8 9 9 9 10 10 10 9 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 12 13 14 15 16 15 12 10 8 7 6 8 11 12 12 11 11 12 13 13 12 12 12 12 11 11 12 12 12 13 13 13 13 12 12 12 12 11 11 11 nan
nan 12 12 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 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 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 10 9 8 8 7 7 7 7 6 7 7 7 8 9 9 9 9 9 9 8 8 8 9 10 10 10 9 8 8 8 8 8 9 9 9 9 10 10 10 9 9 8 8 8 8 9 9 9 10 9 9 9 10 11 12 12 12 12 10 9 9 8 8 8 8 8 9 9 9 9 9 9 10 11 11 12 12 14 15 16 18 19 19 18 17 18 20 21 21 19 17 18 18 18 17 16 15 14 13 13 13 13 15 18 19 18 16 15 14 14 13 12 12 11 11 nan
nan 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 12 13 14 14 15 15 14 13 11 9 9 9 9 8 8 7 7 7 8 9 9 10 10 9 9 8 8 8 8 9 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 9 9 9 9 9 11 12 12 12 12 10 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 11 11 12 13 15 17 19 20 20 22 23 25 24 23 23 23 23 23 23 22 20 18 16 16 16 16 18 21 21 20 17 15 14 13 13 13 12 12 11 nan
nan 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 10 10 10 10 10 10 9 9 9 10 10 11 12 14 16 17 18 19 19 18 17 15 13 13 12 12 11 10 9 8 7 8 9 10 10 10 9 9 8 8 8 8 8 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 10 10 10 10 9 9 8 8 9 10 11 11 11 10 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 12 13 15 16 16 17 17 17 18 19 20 21 22 23 24 23 22 22 22 21 20 18 17 16 16 16 16 15 14 14 13 12 12 12 nan
nan 12 12 12 12 11 11 11 11 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 13 14 16 17 16 15 13 12 11 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 12 15 18 20 21 20 19 18 16 15 14 13 13 14 13 12 11 9 8 8 9 10 10 10 10 9 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 9 9 9 9 8 7 7 7 8 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 9 9 9 9 10 10 10 11 11 11 10 11 12 12 13 14 15 17 18 19 21 23 24 24 22 19 16 15 16 18 19 19 17 16 14 12 11 11 nan
nan 12 12 12 12 11 11 11 11 11 10 10 11 11 11 11 11 11 11 10 11 11 12 12 13 15 17 19 21 20 19 17 15 13 11 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 13 15 18 18 17 15 13 12 10 10 10 10 10 11 11 10 9 8 8 8 10 10 10 10 9 8 7 6 7 7 8 8 8 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 7 8 8 9 9 8 8 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 12 14 16 18 19 19 21 21 19 18 17 18 17 17 15 13 11 9 8 8 nan
nan 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 14 15 17 19 20 20 21 21 20 19 17 14 12 11 11 10 11 11 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 9 9 10 10 10 11 11 10 10 9 8 8 7 7 7 7 8 7 7 7 6 6 6 6 7 8 9 9 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 7 7 7 8 9 9 9 7 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 10 9 9 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 9 10 11 11 12 13 14 16 18 17 15 10 7 5 5 5 5 5 5 5 5 nan
nan 12 12 12 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 14 16 17 18 18 18 19 19 20 20 20 18 15 12 11 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 10 9 7 4 2 2 2 3 4 5 6 7 7 7 7 7 6 6 5 5 5 5 6 6 6 6 5 5 5 5 6 6 6 6 6 6 7 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 11 12 12 12 11 9 8 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 11 7 2 -1 -2 -2 -0 1 2 3 4 5 nan
nan 12 12 12 12 12 12 12 12 12 12 12 13 13 13 14 14 15 15 14 14 14 13 13 14 16 16 17 17 17 17 18 19 19 18 16 13 11 9 9 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 5 2 0 -1 -0 1 2 4 5 7 8 9 9 9 9 8 7 7 6 6 6 6 5 5 4 3 2 2 2 3 4 5 6 6 7 8 9 9 9 9 9 9 8 8 9 9 8 8 8 7 6 6 6 6 6 7 8 8 9 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 8 5 2 0 -0 1 2 2 3 4 4 5 6 nan
nan 13 13 13 12 12 12 12 12 13 13 13 13 13 13 14 14 15 15 15 14 14 13 13 13 14 15 15 15 15 15 15 16 17 17 16 14 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 6 5 4 3 3 4 5 6 7 8 9 9 10 11 12 12 11 11 10 10 10 9 9 8 7 6 4 2 1 2 3 4 6 6 7 8 8 9 9 9 9 9 8 8 9 9 9 8 8 8 8 7 7 7 7 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 8 8 7 7 8 8 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 9 9 6 3 -0 -1 -0 2 4 5 5 5 6 6 7 7 nan
nan 13 13 12 12 12 12 12 12 12 12 12 13 13 12 13 13 13 14 14 15 14 13 12 12 13 14 14 13 13 13 13 13 15 16 16 15 12 11 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 8 8 8 9 11 12 13 13 13 13 13 14 14 13 12 12 10 9 7 5 5 4 4 5 6 6 7 8 9 9 9 9 8 8 8 8 8 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 7 7 6 6 6 6 6 7 7 7 6 7 7 8 9 9 9 9 9 10 10 10 11 10 11 10 10 10 10 10 10 10 10 10 10 8 6 2 -2 -3 -2 1 4 6 6 7 7 7 8 8 8 nan
nan 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 11 11 12 12 12 12 12 12 12 12 14 16 17 16 14 11 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 11 11 10 8 7 7 8 10 11 11 11 12 13 13 13 14 14 14 13 13 12 11 10 9 8 8 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 8 8 8 9 9 10 10 10 10 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 6 6 6 7 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 5 2 -0 1 3 6 7 8 8 9 9 9 9 9 9 nan
nan 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 10 9 9 10 11 11 11 11 11 11 11 11 13 15 17 18 15 11 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 7 7 7 8 8 8 8 9 9 10 11 11 11 12 12 13 13 12 12 11 11 11 11 10 9 8 7 7 7 7 8 9 9 8 8 8 8 8 7 7 7 7 6 6 7 7 7 7 7 7 7 8 9 9 10 10 10 10 11 11 11 10 10 10 9 9 10 10 9 9 8 7 7 6 6 5 6 7 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 11 11 10 9 9 10 11 11 11 10 9 9 9 9 9 9 9 9 nan
nan 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 7 5 5 7 9 10 10 10 10 10 10 11 12 14 17 19 17 14 10 9 10 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 7 6 5 5 6 7 7 8 7 7 8 8 8 9 10 10 11 11 11 11 12 11 11 11 11 11 11 10 9 9 8 7 6 6 7 8 8 8 8 7 7 7 6 6 5 6 7 7 8 8 8 8 8 8 9 10 10 10 9 9 10 10 10 10 9 9 9 10 10 10 10 10 9 7 7 6 5 5 5 6 6 7 8 8 9 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 11 13 15 17 16 14 11 9 9 9 8 8 8 8 8 9 nan
nan 11 11 10 10 10 9 10 10 9 9 10 10 9 9 9 8 8 8 8 7 5 3 3 5 8 9 9 9 9 9 9 10 10 13 15 18 19 16 13 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 10 10 10 10 10 10 9 8 6 5 5 6 7 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 12 12 11 11 11 10 10 10 9 8 6 6 6 7 8 8 8 7 7 6 6 6 6 7 8 9 9 9 9 9 9 10 10 11 10 9 9 9 9 10 9 8 7 7 8 9 9 9 8 8 7 6 6 6 6 6 6 6 7 8 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 13 15 14 12 9 7 6 7 8 8 8 8 8 9 9 nan
nan 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 7 7 6 5 4 4 5 7 8 8 9 9 8 8 8 9 10 12 15 17 15 13 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 7 7 8 8 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 8 8 8 8 8 8 7 7 6 6 6 7 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 8 7 7 7 7 8 8 8 7 6 6 7 7 7 7 7 7 8 8 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 10 10 10 10 10 10 10 11 11 10 7 5 3 4 6 7 8 8 8 8 9 9 9 nan
nan 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 7 6 5 3 2 3 5 7 8 8 8 8 8 8 8 8 8 9 11 13 12 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 9 8 7 7 6 7 7 8 8 8 7 7 7 8 9 9 10 10 10 10 9 9 9 9 9 8 7 7 8 9 9 8 7 6 6 7 8 8 9 9 9 9 10 11 12 12 12 11 11 11 11 11 10 11 11 10 10 10 9 9 9 9 9 9 9 9 9 10 10 8 6 5 5 7 8 8 8 9 9 9 9 9 10 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 6 3 1 2 4 7 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 12 12 12 11 10 9 8 8 8 8 8 8 9 9 9 8 8 8 9 10 11 11 11 10 10 9 9 9 9 9 8 8 9 10 10 9 8 8 7 8 9 10 11 11 11 12 12 13 14 14 13 13 12 11 11 10 10 9 10 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 9 9 9 9 10 10 10 10 nan
nan 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 10 8 5 5 5 7 8 8 7 7 7 6 6 6 6 6 7 7 8 8 10 10 10 10 10 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 9 9 8 8 8 9 9 9 9 9 9 9 8 7 7 7 8 9 9 10 9 9 9 9 9 10 11 11 12 12 11 11 10 10 11 11 12 12 12 13 14 14 15 15 15 14 14 13 11 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 13 14 14 13 11 10 10 10 10 10 10 10 10 nan
nan 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 10 11 11 12 12 10 8 7 7 7 7 7 7 7 7 6 6 5 5 5 6 6 7 8 10 10 11 11 11 11 11 10 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 10 10 10 9 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 8 8 7 7 7 8 8 9 9 8 7 6 5 4 4 3 3 3 4 5 6 7 8 9 10 10 11 12 13 14 14 13 12 12 12 12 12 12 11 11 12 14 14 15 14 14 14 13 12 11 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 12 13 14 14 13 11 11 10 10 10 10 10 10 nan
nan 9 8 8 8 7 7 7 7 7 7 7 8 8 9 10 10 10 10 10 9 7 6 6 7 8 8 7 7 7 7 7 6 6 6 6 6 6 7 8 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 11 11 11 10 11 11 11 11 10 10 9 9 9 8 7 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 13 12 11 9 8 7 6 6 5 5 5 5 5 5 5 4 3 2 2 2 2 2 1 -0 -0 0 2 4 6 8 9 9 10 12 13 14 14 13 12 11 11 10 10 10 9 10 11 12 12 12 12 12 12 12 11 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 12 14 15 14 13 11 10 10 10 10 10 10 nan
nan 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 6 4 3 4 6 7 7 7 7 7 6 6 6 6 7 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 7 8 8 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 12 13 14 14 12 11 9 8 7 6 5 5 5 4 4 4 3 3 2 3 3 4 4 4 4 3 2 2 1 0 1 1 2 4 6 9 11 11 11 10 10 10 9 9 8 8 8 8 9 9 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 11 14 14 15 14 12 11 11 11 11 11 11 nan
nan 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 7 6 5 4 5 5 5 6 6 6 5 5 5 6 8 10 11 11 10 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 11 12 13 14 14 13 11 10 9 9 8 7 7 7 8 8 7 7 6 6 6 7 7 8 8 8 8 7 7 7 6 4 2 1 0 2 6 8 10 10 9 8 8 9 9 8 8 8 7 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 12 13 15 15 13 13 12 12 12 12 12 nan
nan 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 7 6 5 4 4 4 4 5 5 5 5 6 7 9 11 11 11 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 11 11 12 13 13 13 11 10 10 10 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 10 9 7 6 5 6 8 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 11 12 12 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 11 11 11 13 15 16 16 16 17 17 17 16 15 nan
nan 7 7 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 5 4 4 4 5 5 6 6 7 7 9 11 11 11 10 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 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 10 10 10 10 10 11 11 12 12 12 11 11 10 10 10 11 12 13 13 13 13 14 14 14 14 14 14 14 13 13 14 14 15 15 15 14 13 13 12 12 11 10 8 7 7 8 8 9 10 10 10 9 9 9 9 10 10 9 9 9 8 8 9 10 11 12 14 14 13 12 11 11 10 10 10 9 9 9 9 9 10 9 9 10 10 11 11 11 11 11 11 11 12 14 16 19 22 24 25 23 21 19 nan
nan 9 9 9 8 8 8 9 9 9 9 8 8 9 9 8 8 8 8 8 8 8 7 6 6 6 6 6 6 7 7 8 9 10 11 12 11 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 8 8 9 9 9 9 9 9 8 8 8 9 8 8 8 8 9 9 9 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 10 11 12 13 14 14 15 16 17 17 17 17 17 17 18 18 19 20 20 21 21 20 17 16 15 14 14 13 12 10 9 9 8 9 9 10 10 10 10 10 10 11 11 10 10 9 9 9 9 10 12 13 15 16 15 14 13 11 11 10 10 9 9 9 9 9 10 10 10 10 11 11 12 12 12 12 11 11 11 11 12 14 19 23 26 26 25 25 25 nan
nan 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 9 9 8 8 7 6 6 6 6 7 7 7 7 8 9 11 12 13 13 12 10 9 8 8 7 7 8 8 9 9 9 9 10 9 9 9 8 8 7 6 6 6 7 8 9 9 10 10 10 9 9 9 9 8 8 8 8 8 9 9 10 11 12 12 12 12 11 10 10 10 10 10 11 11 11 11 11 10 10 10 11 11 12 12 12 14 15 16 17 17 18 19 20 21 23 24 24 24 23 22 20 19 17 16 15 16 17 17 16 14 13 11 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 10 11 13 15 16 16 15 14 13 11 10 10 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 11 11 11 10 10 10 12 15 17 18 19 21 23 25 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
75 63 56 52 49 48 49 52 71 88 90 86 81 72 61 54 54 48 39 30 20 11 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 1 4 5 7 8 6 7 6 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 8 7 6 6 5 4 5 5 5 6 6 7 7 7 7 8 7 6 6 6 6 5 7 6 5 4 4 3 2 2 2 2 3 4 4 5 6 6 7 7 7 7 7 7 6 7 7 7 7 8 7 7 8 8 8 8 7
74 61 54 49 45 42 45 49 61 79 88 87 83 78 74 68 57 48 39 29 18 7 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 5 5 6 6 7 8 8 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 5 5 6 6 6 7 7 6 7 7 7 6 6 6 6 5 6 6 6 5 5 4 3 2 2 2 2 3 3 4 5 6 6 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 8 7 6
82 63 52 47 41 38 41 44 50 64 77 84 89 97 87 80 64 54 43 29 15 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 1 3 4 5 5 5 5 6 7 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 9 8 8 6 5 5 5 5 6 6 7 7 8 7 7 7 6 7 7 7 7 6 5 5 5 5 4 3 2 2 2 2 2 3 4 5 6 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 8 8 7 6
102 74 57 48 41 37 39 40 44 53 66 73 74 82 77 76 65 54 42 27 14 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 4 5 5 5 7 8 8 9 9 9 9 9 9 8 9 8 9 9 9 8 8 8 7 6 6 6 6 7 7 7 7 6 6 5 5 5 6 6 7 7 7 7 7 7 6 6 7 7 7 7 6 6 6 6 4 3 2 2 2 2 3 4 4 5 6 6 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7
147 110 81 64 52 44 42 41 42 46 54 60 60 63 70 70 63 53 40 25 12 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 1 3 4 4 5 6 8 9 9 9 9 9 9 9 9 9 9 8 9 9 9 8 8 8 7 7 6 5 5 5 5 4 5 6 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 4 3 2 2 2 2 3 4 4 4 5 6 6 7 7 7 6 6 6 5 6 6 6 6 7 7 8 8 7 7 8
201 160 125 100 78 64 57 47 44 45 49 55 63 68 67 63 55 45 35 23 10 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 1 2 3 5 5 6 7 8 8 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 8 7 7 6 6 5 4 4 5 5 5 6 6 5 5 5 6 6 6 7 7 7 7 8 8 7 7 7 7 6 6 5 4 3 2 2 3 3 4 4 4 4 4 5 5 6 6 6 6 6 5 5 5 5 6 6 6 7 7 8 6 7 8
229 193 159 133 108 89 77 60 50 47 47 52 59 62 53 48 44 38 27 15 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 0 0 0 0 0 1 3 4 4 4 5 6 6 7 8 8 9 8 9 9 9 9 8 8 8 8 8 8 8 7 6 7 5 5 4 5 5 4 4 5 5 5 5 5 5 5 6 6 7 7 7 6 6 7 6 6 5 5 5 4 3 2 2 3 3 3 3 3 3 4 4 4 5 5 5 5 5 4 5 4 5 5 5 6 6 7 7 7 7 8
222 189 156 134 123 103 88 72 60 52 48 53 67 67 53 50 45 36 25 11 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 1 1 2 2 2 2 3 4 5 6 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 6 6 6 5 4 4 4 4 4 5 5 5 4 4 4 5 4 5 5 5 5 5 5 5 5 5 4 4 4 3 2 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6
205 170 138 126 118 101 88 78 72 67 62 61 77 81 70 59 50 41 28 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4 5 5 6 7 8 8 8 8 9 9 9 8 8 8 7 7 7 6 4 4 3 3 3 4 4 4 4 3 3 4 3 3 4 4 4 4 4 5 5 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 6
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