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 10 12 14 15 14 12 11 9 9 8 8 9 9 9 8 7 7 7 7 6 6 6 6 6 7 8 8 8 8 8 9 11 11 11 10 10 9 9 9 9 8 8 8 8 8 8 7 7 8 8 8 8 7 6 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 11 11 11 10 10 9 8 7 8 8 9 9 9 9 8 8 8 7 6 6 6 7 7 8 8 8 6 5 5 5 6 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 9 8 6 5 4 5 6 7 7 7 7 7 8 8 10 11 11 10 9 8 8 9 10 11 11 11 10 10 9 9 9 11 12 12 12 10 6 2 0 2 3 5 6 8 8 7 6 6 6 6 6 5 5 5 7 7 7 7 nan
nan 10 12 14 14 13 11 10 9 8 8 9 9 9 9 8 7 7 7 7 7 7 7 6 6 7 8 8 7 7 8 9 10 11 11 10 9 9 9 9 9 9 8 8 7 8 8 8 8 9 9 9 8 8 8 7 7 8 8 8 8 8 8 7 7 7 7 6 6 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 9 9 9 8 7 7 8 8 8 9 9 9 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 10 11 11 11 9 8 7 5 5 5 6 6 6 7 7 8 8 10 11 11 10 9 8 8 9 10 11 10 10 10 9 9 9 10 12 13 13 10 6 2 -1 0 3 5 6 8 9 8 7 6 6 7 7 5 4 4 6 7 8 7 6 nan
nan 11 12 13 14 13 11 9 8 8 8 9 9 8 8 8 8 7 7 7 7 7 7 6 6 7 8 8 7 7 8 8 9 10 10 10 9 9 9 9 9 8 7 7 7 7 7 7 8 9 9 9 9 9 9 9 8 9 9 10 10 9 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 9 8 9 10 9 9 9 9 9 9 9 8 8 9 10 10 10 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 10 11 11 11 10 8 7 6 6 5 5 6 6 7 7 7 9 11 11 10 9 9 9 9 10 10 10 9 9 9 9 10 12 13 13 12 8 3 -0 -0 2 4 6 8 8 8 7 6 6 7 8 7 5 4 5 6 8 8 7 6 nan
nan 10 11 12 13 13 11 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 7 8 8 7 8 7 7 8 9 10 9 9 9 8 8 6 5 7 8 8 7 7 8 10 10 10 9 9 9 9 9 11 11 12 11 10 8 7 7 7 7 8 9 10 10 10 10 9 9 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 7 8 9 9 9 9 9 8 8 8 7 7 7 8 9 8 7 6 5 5 6 6 7 7 7 7 7 7 8 9 10 11 11 11 10 9 8 7 6 6 6 6 7 7 7 8 10 11 10 10 10 10 10 10 9 9 8 8 8 9 11 12 12 12 9 4 0 -0 1 3 6 8 8 8 8 7 6 6 7 7 6 5 4 5 6 8 8 7 7 nan
nan 9 10 12 13 13 11 8 7 8 8 8 8 7 7 7 8 9 9 9 8 8 8 7 6 6 7 8 8 8 7 7 6 7 9 10 9 9 8 8 7 6 6 8 9 8 7 7 10 12 12 11 9 9 9 10 11 12 12 12 12 11 9 9 8 8 8 9 10 11 11 11 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 8 9 9 9 9 9 9 9 8 7 7 7 8 9 9 8 6 5 4 4 5 6 7 7 7 7 7 7 8 9 10 10 11 11 10 9 8 7 6 6 6 7 7 6 7 8 10 10 11 11 11 10 9 9 8 8 8 9 9 10 11 11 9 5 1 -0 1 3 5 8 9 9 8 7 6 6 6 7 6 6 5 5 6 6 7 8 8 8 nan
nan 9 10 11 12 12 11 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 8 7 6 6 7 8 9 8 7 7 7 8 10 10 9 9 8 8 7 7 8 9 9 7 7 9 13 15 14 11 10 10 11 12 12 12 12 12 11 10 10 10 10 10 10 11 11 11 11 10 9 9 9 9 9 8 8 8 7 7 8 8 8 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 8 8 9 9 8 8 8 8 8 9 9 9 9 7 6 5 4 4 5 6 7 7 7 7 7 8 8 8 9 10 10 11 10 9 8 7 6 6 7 7 6 6 7 8 9 10 11 12 11 10 9 8 8 9 9 9 9 9 8 6 2 0 1 3 6 9 10 10 9 8 6 5 5 6 7 6 7 7 6 5 5 6 8 9 9 nan
nan 9 10 11 12 12 10 9 8 8 8 8 8 8 7 7 8 9 9 9 9 8 7 7 7 7 7 8 8 8 8 8 8 9 10 10 9 8 8 8 8 8 8 7 6 7 8 12 15 15 13 10 9 10 12 11 10 10 11 11 10 9 10 10 11 12 12 11 10 10 9 8 8 8 8 8 7 7 6 5 5 5 6 7 9 10 11 11 10 9 8 8 8 8 9 9 10 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 7 6 5 5 5 6 7 7 7 7 7 8 8 8 9 9 10 11 10 9 7 7 6 7 7 7 7 7 8 9 10 10 11 11 11 10 10 9 9 8 8 8 7 6 4 2 2 3 6 10 12 13 12 10 8 6 5 6 7 7 7 7 7 5 4 5 7 9 9 9 nan
nan 9 10 11 12 12 11 9 8 8 8 8 8 8 8 8 8 8 9 9 8 7 6 6 7 7 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 6 5 6 8 12 15 14 12 10 8 8 9 9 8 6 6 7 8 8 8 9 10 10 10 9 8 6 6 7 7 7 7 7 7 7 6 5 5 4 4 5 6 9 10 11 10 9 7 7 7 8 9 10 10 10 10 9 8 8 8 8 8 8 9 10 10 9 9 8 8 9 9 8 8 7 7 6 5 5 5 6 7 7 6 7 7 8 8 8 9 10 11 10 9 8 7 6 7 7 7 7 7 8 9 9 9 10 11 11 11 10 9 9 8 8 7 7 6 4 4 4 7 10 12 13 13 12 10 8 7 7 8 9 9 8 7 5 4 4 6 8 9 9 8 nan
nan 9 10 11 12 13 12 10 8 7 7 7 8 9 9 8 8 9 9 9 8 7 6 6 6 7 8 8 8 8 9 9 10 10 9 9 9 9 8 7 7 6 5 5 7 11 15 14 11 9 7 6 6 6 6 4 3 3 4 5 6 7 8 8 7 6 5 4 4 5 6 6 6 6 6 7 7 7 6 6 5 6 6 8 9 10 9 8 7 6 7 8 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 9 8 8 7 7 8 8 8 8 8 7 6 6 5 6 7 7 7 7 7 7 7 8 7 7 8 10 10 9 8 6 6 7 7 7 7 7 8 9 9 8 8 9 10 11 10 9 9 9 8 7 7 6 5 5 6 9 11 12 12 11 9 9 9 9 9 10 10 9 8 6 4 4 6 8 8 8 6 6 nan
nan 9 10 11 12 13 13 11 9 7 7 7 8 9 9 9 9 9 9 9 8 7 6 6 7 7 8 8 8 9 9 10 11 10 10 9 9 9 8 7 7 7 7 7 10 13 14 12 9 7 6 5 5 7 7 5 3 3 4 4 5 5 6 5 4 3 3 4 5 5 5 6 6 6 6 7 8 8 7 7 7 8 9 10 9 8 7 6 6 7 8 9 9 9 8 8 8 8 7 7 8 8 8 8 9 8 8 8 7 7 7 6 6 7 8 8 8 8 7 7 6 7 7 8 8 8 7 7 7 7 6 6 7 8 9 9 8 7 7 8 8 7 7 6 8 9 9 7 6 7 8 10 10 9 9 8 8 7 6 6 5 5 8 10 11 10 9 8 8 9 10 10 10 10 9 8 7 5 4 5 7 7 6 4 4 5 nan
nan 10 11 12 12 13 13 12 10 8 7 7 8 8 8 9 9 9 9 9 8 7 7 7 7 8 8 9 9 10 10 11 11 11 10 10 10 9 9 8 8 9 9 10 11 12 12 11 8 5 4 5 6 8 9 8 7 6 5 5 5 5 4 4 3 3 3 4 5 5 5 6 7 8 8 8 8 7 7 7 8 9 9 8 7 6 6 7 8 9 10 10 9 8 8 7 7 6 6 6 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 6 6 7 8 9 9 8 8 8 8 7 7 7 8 9 9 8 6 5 6 8 9 9 8 7 6 6 6 5 5 6 8 10 10 9 8 8 9 10 11 11 10 10 9 7 6 5 5 7 7 6 4 3 4 5 nan
nan 12 12 13 13 13 14 13 11 9 7 7 7 8 8 8 9 9 9 9 8 7 7 8 8 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 10 11 10 10 11 11 10 7 3 2 4 6 7 9 10 9 8 7 5 5 5 5 4 3 3 4 4 4 5 6 8 10 10 9 8 8 7 7 7 8 8 7 5 5 5 7 8 10 11 11 10 9 8 7 6 5 5 5 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 8 8 7 7 6 6 7 8 8 9 9 9 8 7 6 7 7 8 8 9 9 8 7 7 7 8 8 9 9 8 6 4 4 6 8 9 8 7 5 4 4 4 4 6 8 9 9 9 8 8 9 10 11 10 10 10 9 8 6 6 7 8 7 6 5 5 6 6 nan
nan 12 12 13 13 13 14 13 11 9 8 7 7 7 8 8 9 9 9 9 8 8 8 9 9 10 10 9 10 10 11 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 5 2 2 4 5 6 8 10 11 9 7 5 5 7 8 6 4 3 4 4 5 7 10 12 11 9 7 7 7 7 7 8 9 8 6 5 5 6 8 10 12 12 10 9 7 7 6 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 8 8 9 9 9 8 7 6 6 6 7 8 9 9 9 9 8 8 7 7 8 8 9 9 8 8 8 8 8 8 9 8 7 6 5 5 7 8 9 8 7 5 4 3 2 3 4 5 6 7 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 8 7 6 7 8 8 nan
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nan 10 10 11 11 12 12 11 10 9 8 8 8 8 8 8 9 9 10 10 9 8 9 10 10 11 10 9 9 10 10 10 9 9 9 10 9 9 8 8 9 10 12 12 11 9 8 6 5 3 2 4 6 8 11 13 13 10 6 3 4 6 7 5 3 3 5 8 10 11 10 8 6 6 7 9 8 8 10 11 10 8 7 6 6 7 8 9 10 9 7 6 6 6 6 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 8 7 7 6 6 7 8 9 9 8 8 8 9 9 10 9 9 9 9 9 8 7 7 8 8 8 8 8 8 8 8 8 7 7 6 7 8 9 10 10 11 11 10 10 9 8 6 4 3 3 5 5 6 7 7 6 5 5 6 7 8 7 8 8 9 8 8 7 8 9 10 10 nan
nan 10 11 11 11 11 11 11 10 9 8 8 8 8 8 8 9 10 11 11 10 9 9 10 11 11 10 9 9 9 9 9 8 9 9 10 9 8 7 8 9 11 12 13 11 9 7 6 4 3 3 5 7 10 12 15 13 8 4 2 3 4 4 3 3 4 7 9 9 7 6 5 6 7 8 8 8 9 10 10 9 7 7 8 9 10 9 9 9 8 7 7 6 6 6 7 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 8 9 9 9 9 9 9 9 10 9 9 9 9 9 8 7 7 7 8 8 8 8 7 8 8 8 8 7 7 8 8 9 9 10 11 12 12 12 12 11 10 9 8 7 7 6 6 6 6 6 5 5 5 6 6 7 7 7 7 7 7 7 8 9 9 9 nan
nan 11 11 12 11 11 11 11 11 9 8 8 8 8 9 9 9 10 11 11 11 10 10 10 10 10 10 9 9 9 8 8 9 9 10 10 9 8 7 8 9 10 11 11 11 9 7 5 5 5 5 7 9 11 14 15 10 3 1 2 4 5 4 4 5 7 8 8 7 6 6 7 8 8 8 7 7 9 9 8 7 6 8 10 12 11 10 9 7 7 7 7 7 7 7 8 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 9 9 9 9 9 8 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 10 11 11 12 12 12 13 13 11 9 7 6 5 5 5 5 5 5 5 5 6 6 6 6 6 7 8 9 9 9 8 nan
nan 12 12 12 12 12 12 12 11 10 9 9 9 9 9 9 9 10 11 12 11 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 9 8 8 8 9 10 10 10 9 8 7 6 6 7 7 8 10 12 14 12 5 1 2 4 7 6 5 5 7 7 7 7 8 8 9 9 9 9 8 7 7 8 8 7 6 6 7 9 10 10 8 6 5 5 6 7 8 8 9 9 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 9 10 10 9 8 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 10 10 10 11 12 13 13 12 11 8 6 5 4 4 5 5 5 5 5 4 5 5 5 6 7 8 8 8 8 8 nan
nan 12 12 13 13 13 12 12 12 11 10 10 10 10 9 8 9 10 11 12 11 11 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 9 10 11 12 11 8 3 2 4 7 10 9 8 8 7 7 7 8 8 9 9 9 9 9 8 7 8 8 8 8 7 6 6 6 6 5 4 4 3 4 5 6 7 8 9 10 10 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 10 10 10 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 11 11 11 11 10 9 7 6 5 5 5 6 5 4 3 3 3 5 6 6 7 8 8 7 8 8 nan
nan 13 13 13 13 13 13 13 13 12 11 10 10 10 9 9 9 10 11 11 11 10 11 11 11 10 10 10 10 10 10 9 8 7 8 9 9 9 9 9 9 8 8 7 7 7 7 7 8 10 10 11 11 11 9 7 5 5 7 10 12 12 11 10 9 8 8 8 8 8 8 9 9 8 8 7 8 8 9 8 6 6 6 5 4 4 4 4 5 5 5 6 6 7 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 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 9 10 10 9 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 5 2 1 2 3 5 7 7 7 7 7 7 7 8 nan
nan 12 13 13 13 13 13 14 14 13 12 11 10 10 9 8 9 10 10 10 10 10 11 12 11 10 9 9 10 10 10 9 8 7 8 8 8 8 9 9 9 8 8 7 7 7 7 8 9 10 11 12 11 10 9 7 7 8 9 11 12 12 10 9 8 7 7 7 7 7 8 9 9 8 7 7 8 9 8 7 6 6 6 6 5 5 5 6 7 6 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 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 7 7 7 7 7 8 8 9 10 10 11 9 7 5 4 5 7 8 7 7 7 6 6 7 7 7 nan
nan 9 10 12 13 14 14 14 14 13 12 12 11 9 9 8 8 9 9 9 9 10 12 12 10 9 8 9 10 10 10 9 8 8 8 8 7 7 8 9 9 8 8 7 7 7 8 9 10 11 11 11 10 9 8 7 7 8 9 10 10 10 9 8 7 5 6 7 7 8 9 10 9 8 7 9 10 10 8 7 6 6 6 6 6 6 7 8 7 7 6 6 6 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 6 7 7 7 8 8 9 8 8 8 9 9 9 8 8 8 8 7 7 7 7 6 6 7 7 8 8 9 9 9 9 8 8 9 9 10 11 10 7 6 6 7 7 8 8 8 nan
nan 9 10 12 14 15 15 14 14 13 13 11 10 9 8 8 8 8 8 9 9 11 12 11 10 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 8 7 7 7 8 10 10 11 11 10 10 9 8 7 8 9 9 9 9 10 10 8 7 6 6 7 8 9 10 10 9 8 8 10 11 10 7 6 5 6 6 6 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 6 6 7 7 7 7 8 8 8 8 7 6 6 6 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 8 8 7 7 6 7 7 7 8 9 9 9 9 8 9 10 10 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 7 8 9 10 10 10 8 7 7 8 10 10 9 8 8 nan
nan 11 11 12 14 15 15 14 13 12 11 11 9 8 7 7 7 7 7 8 9 10 11 11 9 8 7 7 8 8 9 9 9 9 10 9 8 8 8 8 8 8 8 8 8 8 9 10 10 11 10 10 9 8 8 8 9 10 10 10 10 10 10 9 7 6 6 6 8 9 9 9 8 8 8 9 9 7 5 4 4 6 7 7 8 8 8 7 7 7 7 7 8 8 7 7 6 7 7 8 7 6 6 6 6 7 6 6 7 7 7 7 8 9 9 8 8 7 7 7 6 6 6 7 8 8 8 8 8 8 8 8 7 6 7 7 8 8 7 7 8 8 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 8 9 11 12 11 9 8 8 nan
nan 12 12 12 14 15 14 13 11 11 10 9 8 7 6 6 6 6 7 8 9 10 10 11 9 8 7 7 7 8 8 9 10 10 10 10 9 8 7 7 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 10 11 10 10 10 10 9 8 7 6 6 5 6 8 9 8 8 7 7 7 6 4 3 3 3 5 6 7 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 6 6 7 7 7 7 7 6 6 6 7 8 8 8 8 8 8 8 8 7 6 6 7 8 8 9 8 8 8 8 7 6 6 7 8 8 8 8 9 9 9 8 8 8 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 7 7 8 9 10 11 10 9 8 8 8 nan
nan 12 12 13 14 13 12 11 10 9 9 8 7 6 6 5 6 6 7 8 8 9 10 10 9 8 7 7 7 7 8 8 9 10 10 9 9 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 10 11 11 11 11 10 10 10 9 7 5 6 6 6 7 7 8 7 7 7 7 6 5 3 2 2 3 4 6 7 8 8 7 7 6 6 7 7 7 7 7 8 8 9 10 9 8 6 5 5 6 7 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 6 6 6 7 8 9 9 9 9 9 8 7 7 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 7 7 8 8 9 9 8 8 8 8 9 nan
nan 11 12 13 14 13 11 10 9 9 8 8 7 6 6 6 6 7 7 8 8 9 9 10 9 8 8 7 7 7 7 7 9 10 10 10 9 9 8 7 7 7 8 9 10 9 9 9 9 8 9 10 11 12 12 12 11 10 10 10 10 6 5 6 8 9 9 8 7 6 5 6 7 6 3 1 2 3 5 7 7 8 8 7 7 6 6 6 7 7 7 7 7 8 9 9 9 8 6 5 5 6 7 6 6 6 7 8 8 7 7 6 6 7 7 7 7 8 8 8 8 8 7 8 8 8 8 8 8 8 7 7 7 8 9 9 9 8 8 8 8 6 6 6 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 nan
nan 11 11 13 13 12 10 9 9 8 8 8 7 7 6 6 7 7 7 8 8 8 9 9 9 9 9 8 8 7 6 7 8 9 10 10 10 9 8 7 7 7 9 10 10 9 9 9 8 8 8 9 11 12 13 12 11 10 10 11 10 8 7 9 10 10 9 8 6 5 5 7 8 6 3 2 4 6 7 8 8 8 8 6 5 5 6 7 8 8 8 7 7 8 9 8 8 6 5 5 7 8 8 7 6 7 8 8 9 9 9 8 7 6 6 6 7 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 8 9 10 9 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 9 9 9 9 nan
nan 11 11 12 13 12 11 9 8 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 10 10 9 9 8 7 7 8 9 10 10 10 9 8 7 7 8 9 9 9 9 8 9 9 8 8 9 10 11 13 12 11 10 10 11 10 9 8 8 8 7 7 6 5 5 7 9 10 8 4 4 6 8 8 8 8 8 7 6 6 6 7 8 8 8 8 8 8 9 9 9 8 7 7 7 9 9 8 8 8 8 8 8 8 9 9 8 7 7 7 7 7 8 9 9 8 8 8 8 9 9 9 8 8 7 7 8 9 10 10 9 8 7 8 8 8 8 8 9 9 9 9 10 10 10 9 9 8 8 9 9 9 9 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 nan
nan 11 11 12 13 13 12 10 9 8 8 8 8 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 8 8 8 8 9 9 10 10 9 8 7 7 8 9 9 8 8 8 9 9 9 8 9 10 11 12 12 10 10 10 10 10 9 7 5 5 5 6 6 6 7 8 10 9 7 5 6 8 9 9 9 10 9 8 8 7 8 9 9 9 8 8 8 9 9 9 9 8 8 8 8 9 8 8 7 8 9 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 8 8 8 9 10 10 9 8 7 8 9 10 10 9 8 7 7 8 9 9 9 9 9 9 9 9 10 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 8 8 8 8 9 9 10 9 9 9 9 9 nan
nan 12 11 12 13 13 12 11 9 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 9 8 7 7 7 8 8 8 8 9 9 9 9 9 9 10 11 12 11 10 10 10 10 10 8 5 3 4 5 8 9 9 9 8 8 6 5 5 7 9 10 11 11 12 11 10 9 9 9 10 9 9 8 8 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 8 8 9 9 10 10 10 8 8 8 9 9 9 8 7 6 7 8 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 nan
nan 12 12 12 13 13 13 11 10 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 9 8 7 7 7 7 8 8 9 9 9 9 9 9 10 10 11 11 12 11 11 11 10 9 7 4 4 5 8 10 11 10 8 7 6 5 6 7 9 11 12 12 12 11 11 10 10 10 11 10 9 9 9 9 9 8 8 8 9 8 8 8 7 7 7 8 9 9 9 8 8 7 7 7 7 7 8 8 8 8 9 9 8 8 8 8 9 10 11 11 10 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 10 10 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 7 7 8 8 9 9 8 8 8 8 8 9 9 9 8 nan
nan 12 12 12 12 13 13 12 10 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 9 9 9 9 8 7 7 8 9 9 9 9 8 9 9 10 10 11 11 12 12 12 11 11 10 8 7 6 7 8 10 11 10 8 7 6 6 7 9 11 12 12 12 11 10 9 9 9 9 10 9 9 9 9 9 9 8 8 9 10 10 9 8 7 7 7 8 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 9 8 8 8 8 8 9 9 10 11 10 8 7 7 7 8 9 8 8 7 8 8 9 10 11 11 11 11 10 9 9 9 9 9 9 10 10 10 10 10 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 8 8 8 7 7 8 9 9 8 8 nan
nan 12 12 12 12 13 13 12 11 11 10 9 9 8 9 9 10 10 9 9 9 10 10 11 10 9 9 9 9 10 10 9 9 9 8 8 9 9 9 8 8 8 9 9 9 8 8 8 9 9 10 11 11 12 13 13 12 11 9 8 7 7 8 9 10 11 10 9 7 7 8 9 11 13 14 14 13 11 9 7 7 7 7 7 7 7 9 10 10 10 9 9 10 11 11 9 8 7 7 8 8 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 7 6 6 8 9 10 9 8 8 8 9 10 11 12 12 11 11 10 9 9 9 9 10 10 11 11 10 10 9 9 10 10 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 8 9 9 8 7 7 nan
nan 13 12 12 12 13 13 13 12 12 11 10 10 9 9 10 10 10 9 9 9 10 11 11 10 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 12 13 13 13 11 9 8 7 7 8 9 10 10 10 9 9 9 10 11 12 14 15 14 13 11 9 8 7 7 7 7 7 7 8 10 10 10 9 9 9 11 11 9 8 7 7 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 10 10 10 8 6 6 7 8 9 9 9 8 8 9 10 10 11 11 11 10 9 8 8 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 nan
nan 13 13 13 13 13 13 13 13 13 12 11 10 10 11 11 11 11 10 9 10 10 11 11 10 10 10 10 11 11 11 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 11 12 12 12 11 10 8 7 7 8 9 10 10 9 8 8 9 11 12 12 13 13 12 11 10 8 7 7 7 7 8 8 8 9 9 10 9 8 8 8 10 10 9 8 8 8 8 9 9 9 8 8 7 7 7 7 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 10 10 9 7 6 6 8 9 9 8 7 8 9 10 10 11 11 10 9 9 8 8 8 9 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 nan
nan 14 14 14 14 14 14 13 13 12 12 11 11 11 11 12 12 11 11 10 11 11 11 11 10 10 10 11 11 12 11 11 10 10 9 9 8 7 7 7 8 8 9 9 9 9 10 10 10 10 10 11 11 11 10 9 8 7 7 8 9 10 10 10 9 8 8 9 11 11 11 11 10 8 8 8 7 7 7 7 7 8 9 10 10 10 9 8 8 9 10 10 10 9 8 8 8 9 9 9 9 8 8 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 9 9 10 11 10 8 7 6 7 8 9 8 7 7 8 9 10 11 11 10 10 9 9 8 8 9 10 11 10 10 10 11 11 10 10 10 10 10 10 11 10 10 10 10 9 9 8 8 8 7 7 8 8 8 8 8 9 9 10 10 9 8 7 7 7 nan
nan 15 15 15 16 15 15 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 11 11 10 11 11 10 8 7 6 7 7 8 9 9 9 10 10 10 10 10 10 10 9 8 7 7 7 7 8 9 10 10 10 9 9 10 10 11 11 10 9 9 8 8 8 8 8 8 8 8 9 9 10 11 10 10 10 10 10 10 10 9 8 8 8 9 9 9 9 8 8 7 7 7 7 6 6 6 7 7 8 8 7 7 7 7 7 7 7 8 9 10 10 11 10 8 7 8 9 9 9 8 7 8 9 10 11 11 10 9 9 9 8 8 8 9 10 9 9 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 7 7 7 8 8 8 8 9 9 10 10 9 8 8 7 8 nan
nan 15 15 16 16 16 16 14 13 12 12 12 12 12 12 13 13 12 12 12 12 11 11 11 11 11 11 12 13 13 12 12 11 11 11 12 11 9 7 6 7 7 8 9 9 9 10 10 10 10 10 10 9 8 7 6 6 7 7 8 9 9 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 10 10 9 9 8 8 8 9 9 9 8 8 7 7 7 7 7 7 6 6 7 7 7 7 7 7 8 8 8 7 7 8 8 9 10 10 11 10 8 8 9 10 10 9 8 8 8 9 10 10 9 8 8 8 7 7 7 9 9 9 8 7 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 8 8 8 9 9 10 9 9 9 8 8 8 nan
nan 14 14 15 16 16 16 14 13 13 12 12 12 12 12 12 13 13 13 13 12 12 11 11 11 11 11 13 13 13 12 11 10 10 11 12 12 10 9 8 7 8 9 9 10 10 10 10 10 10 10 10 9 8 6 6 6 7 8 9 10 10 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 11 12 12 12 11 10 9 8 8 8 8 8 8 8 9 8 8 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 8 8 9 9 9 10 10 9 8 9 9 10 10 9 8 8 8 9 9 8 8 8 8 8 7 7 8 9 9 8 8 7 8 8 9 9 10 10 10 10 9 9 9 10 10 10 10 11 10 9 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 nan
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nan 14 14 14 14 13 13 13 14 14 14 14 13 12 12 12 11 11 11 11 11 11 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 10 10 8 5 2 2 3 5 7 9 9 10 10 12 14 15 14 13 13 14 13 10 7 6 6 7 9 11 11 11 11 11 10 9 10 10 9 7 4 3 3 4 6 8 10 10 11 9 5 1 -0 2 6 8 11 14 20 24 23 20 16 13 11 11 10 10 10 10 10 10 11 11 12 nan
nan 13 13 13 13 13 13 13 13 14 14 13 13 13 12 12 11 11 11 11 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 8 8 9 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 9 9 10 10 10 10 11 10 10 8 8 8 8 8 8 9 10 9 7 4 2 2 4 7 9 9 9 10 11 14 15 15 16 16 14 11 8 6 5 6 8 10 12 12 11 11 10 10 10 11 11 9 7 5 4 5 6 8 10 10 11 10 7 3 -0 -0 3 7 9 12 15 22 24 22 19 15 12 11 12 12 11 11 10 10 11 11 11 12 nan
nan 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 8 8 8 9 9 10 10 9 8 8 8 8 8 8 8 8 9 9 9 10 9 9 8 8 8 8 8 8 9 9 10 9 9 9 9 10 10 10 11 11 10 9 8 8 9 9 9 9 9 9 8 4 1 1 3 6 8 9 9 9 11 13 15 16 17 16 12 10 8 7 7 8 10 12 13 13 12 11 11 12 13 13 12 11 9 9 9 9 9 10 10 9 8 7 3 -1 -2 1 5 8 10 12 15 20 21 20 17 13 11 12 12 12 12 11 11 11 11 11 11 11 nan
nan 13 12 12 12 11 11 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 10 9 9 9 9 9 9 9 10 9 5 2 1 2 5 8 9 9 9 10 12 15 18 18 15 12 11 10 9 8 9 10 12 13 12 11 11 12 14 15 14 12 11 11 12 12 11 10 9 8 6 4 2 -1 -2 0 4 8 10 11 11 14 18 19 18 16 13 12 12 12 11 10 10 10 10 10 10 11 11 nan
nan 13 13 13 12 12 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 9 10 10 9 9 9 9 9 9 8 8 8 8 9 8 8 7 7 8 8 8 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 10 10 9 9 8 8 9 9 9 9 9 8 9 9 11 12 12 11 10 9 9 9 9 9 10 10 10 6 3 1 1 4 7 8 9 9 9 11 15 18 18 15 12 11 10 9 9 9 10 11 12 12 11 12 13 15 14 12 11 11 12 13 12 11 11 10 8 6 4 2 1 3 6 9 10 10 10 10 12 14 16 16 15 13 12 12 11 10 10 10 10 10 10 10 10 11 nan
nan 14 14 14 14 13 13 12 12 12 12 12 12 12 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 8 9 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 10 10 10 10 9 8 8 8 9 10 9 9 8 8 9 9 10 11 11 11 11 10 10 10 10 10 10 11 10 7 4 1 0 3 7 8 8 9 9 11 14 17 16 14 12 11 10 10 9 9 9 11 12 12 12 13 13 13 12 10 9 10 12 13 13 13 13 12 11 9 7 7 7 9 10 10 10 9 9 9 10 11 13 14 15 15 14 12 11 11 11 11 11 10 10 10 11 12 nan
nan 14 14 14 14 14 13 12 12 12 11 11 11 10 10 10 10 10 10 9 9 9 10 10 10 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 9 9 9 9 8 8 8 9 10 10 10 11 11 11 10 10 11 11 11 11 11 10 8 5 2 1 3 5 7 8 9 9 10 12 14 14 13 12 10 10 9 9 9 10 12 14 14 13 13 12 11 9 8 9 11 12 14 15 15 14 13 11 9 9 9 9 10 10 9 8 8 8 8 9 10 13 16 18 18 16 13 12 12 12 11 10 9 8 8 9 12 nan
nan 13 13 13 13 13 12 11 11 11 11 11 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 9 8 8 8 7 7 7 7 7 8 8 9 9 9 8 8 9 9 9 9 10 10 10 10 9 8 8 8 9 9 9 9 9 8 8 9 10 10 10 11 11 11 11 11 11 11 12 11 11 11 10 8 6 2 1 3 5 7 8 9 9 9 10 12 14 14 13 11 10 9 9 10 12 13 14 13 13 12 11 9 9 9 10 12 13 13 13 13 12 10 8 7 8 8 8 9 8 7 7 7 8 9 11 12 14 17 19 19 17 14 13 12 11 9 7 4 2 2 6 11 nan
nan 12 12 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 9 8 8 8 8 7 7 7 7 8 8 9 10 10 9 9 9 9 9 9 9 10 10 10 9 9 8 8 9 9 10 10 9 9 9 9 9 10 10 11 11 12 11 11 11 11 12 11 11 10 10 9 7 5 2 1 3 5 7 9 9 9 9 9 11 14 16 15 14 11 10 11 12 12 12 12 12 12 11 10 9 9 9 10 11 11 11 11 10 10 8 6 5 5 6 7 6 6 5 6 7 9 11 12 13 14 15 18 19 18 15 13 10 8 5 1 -2 -3 0 9 14 nan
nan 11 11 10 10 10 10 10 10 10 11 11 11 11 12 11 11 11 11 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 9 9 9 9 9 9 10 10 9 9 8 8 9 9 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 12 12 11 10 8 6 5 4 3 2 2 4 6 8 9 9 9 8 8 11 15 17 18 15 12 11 12 12 11 10 11 11 11 10 9 9 9 9 9 10 10 10 10 10 9 7 4 3 3 3 4 4 4 5 6 9 11 12 13 13 13 14 17 20 20 16 11 6 3 0 -2 -2 1 9 18 20 nan
nan 11 11 11 10 10 10 10 10 10 11 11 11 12 12 11 11 11 11 11 10 10 11 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 7 7 7 8 8 8 9 9 9 9 10 10 11 10 10 9 9 9 10 10 10 9 8 8 8 8 9 9 9 10 10 10 10 9 9 9 10 10 10 11 12 13 13 13 13 12 11 9 7 2 1 2 3 3 4 6 8 9 9 8 8 8 8 10 14 16 16 13 10 9 9 8 8 9 10 10 9 8 9 9 9 9 9 10 10 10 10 10 9 7 3 1 1 2 2 3 4 6 9 11 13 13 13 13 12 15 19 22 21 15 6 1 -1 -0 1 4 9 18 23 23 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 10 10 11 10 10 9 9 10 10 10 10 8 8 8 9 9 9 10 10 10 10 10 9 9 9 10 10 11 12 14 14 15 14 12 11 11 10 8 4 3 3 3 5 7 9 9 9 8 7 7 7 8 10 12 13 12 9 6 5 4 4 7 10 11 9 8 8 9 9 9 9 10 10 10 9 9 9 9 6 2 -0 -0 0 1 3 5 8 11 13 13 13 13 13 14 17 21 23 18 9 1 -2 0 4 7 9 13 18 22 23 nan
nan 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 12 12 12 12 11 10 9 9 9 9 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 9 10 10 11 10 10 10 11 11 10 9 8 8 8 9 10 9 10 10 10 10 10 10 10 10 11 12 13 14 14 13 12 10 10 10 10 10 8 7 5 3 5 10 12 11 8 6 6 6 7 7 8 9 8 8 7 5 3 2 6 11 14 13 11 10 11 11 10 10 10 10 11 10 10 11 11 10 6 -0 -2 -2 -1 2 5 8 11 13 13 13 13 12 13 17 21 24 21 11 3 -1 0 5 8 10 11 14 18 22 24 nan
nan 10 10 11 11 11 11 11 12 11 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 10 9 9 9 8 8 8 8 8 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 8 8 8 8 7 8 8 9 9 10 11 10 10 9 8 8 8 8 8 8 8 9 9 10 11 11 11 11 11 10 8 8 8 9 9 9 9 9 10 11 11 11 10 10 11 11 12 12 12 11 10 10 9 9 10 11 11 11 8 6 3 5 11 12 11 6 3 4 6 7 7 7 7 7 7 7 6 4 5 11 16 16 14 12 13 14 13 13 12 11 11 11 10 11 12 11 9 1 -4 -5 -3 1 5 8 11 13 14 14 13 13 13 15 19 22 21 12 3 -0 0 5 8 10 11 12 16 21 25 27 nan
nan 10 10 10 11 11 11 11 12 11 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 10 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 10 11 11 11 10 9 9 8 8 8 8 8 8 9 9 10 11 11 11 11 11 10 9 8 8 9 9 9 9 10 11 11 11 11 10 11 11 12 12 11 10 10 10 9 9 10 10 11 12 12 10 8 5 7 10 10 7 3 2 4 6 7 7 7 7 7 8 7 7 6 9 13 15 14 13 13 14 14 13 12 12 11 11 10 9 8 7 4 -1 -7 -8 -6 -1 5 9 11 13 14 14 14 14 13 14 16 18 18 12 2 -1 -1 4 8 10 11 12 14 19 24 27 26 nan
nan 10 10 11 11 11 11 12 12 12 11 10 10 10 10 10 10 11 11 12 12 12 12 12 12 11 11 10 9 9 9 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 10 11 11 10 10 10 10 10 11 11 11 10 10 9 9 9 9 10 11 11 12 11 10 9 9 8 6 4 3 4 6 7 8 8 8 8 8 8 7 7 8 10 11 11 11 13 14 14 13 11 11 10 10 10 8 5 2 -1 -4 -7 -8 -6 -1 4 9 12 13 14 14 14 15 15 16 16 16 14 11 5 1 1 4 7 9 11 12 14 18 24 27 27 23 nan
nan 10 11 11 12 12 12 13 12 12 11 10 10 9 9 9 9 10 11 11 12 12 12 13 13 12 11 11 10 9 9 8 8 8 8 8 8 9 9 9 10 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 10 9 9 9 8 9 9 10 10 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 11 11 10 10 10 9 7 4 3 5 7 8 9 9 9 9 9 9 8 8 8 9 10 9 10 12 16 17 15 13 11 10 9 7 5 3 -1 -3 -5 -4 -3 -1 3 6 10 12 13 14 15 15 16 18 20 20 19 17 14 10 6 5 6 8 9 10 12 15 19 25 28 27 24 18 nan
nan 11 11 12 13 13 14 13 13 11 10 9 9 8 8 8 9 10 10 11 11 12 13 13 13 13 12 12 11 11 10 9 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 9 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 10 7 4 5 9 11 11 11 11 12 11 10 10 9 9 9 10 10 10 10 13 17 18 16 14 11 7 4 1 -1 -2 -3 -2 0 3 6 8 9 11 12 13 15 16 17 19 21 24 26 24 20 17 14 11 8 7 8 9 10 12 15 20 25 28 27 23 17 13 nan
nan 12 13 13 14 14 14 13 12 11 10 9 8 8 8 8 9 9 10 11 11 12 13 13 13 13 13 13 12 11 10 8 7 7 7 7 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 8 8 9 9 8 8 8 8 9 9 9 10 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 8 8 10 13 14 14 14 15 15 13 11 10 10 11 11 11 11 10 11 13 15 15 14 13 8 4 1 0 1 2 4 6 9 11 12 12 12 13 15 17 19 21 22 24 26 27 25 20 16 13 9 6 5 6 8 10 12 15 20 25 27 25 21 15 11 10 nan
nan 13 13 13 13 13 12 12 11 11 10 9 9 8 8 8 9 9 9 10 11 12 12 13 13 14 14 14 13 12 10 9 7 6 7 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 9 9 9 9 9 8 8 8 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 12 13 14 14 14 15 16 15 12 10 12 13 14 14 13 12 11 12 14 15 16 18 16 11 8 7 8 11 12 14 15 17 18 17 15 14 16 19 22 23 23 23 22 21 18 14 10 7 5 2 1 4 8 11 14 17 20 25 26 23 19 14 11 10 10 nan
nan 11 11 11 11 11 11 11 10 10 9 9 9 8 8 8 8 8 8 9 10 11 12 12 13 13 14 14 13 11 10 9 8 7 7 8 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 8 8 7 8 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 9 9 9 10 10 9 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 11 11 12 12 12 11 12 13 14 13 11 13 16 18 18 17 14 14 15 17 20 23 26 27 23 19 17 17 18 20 20 20 20 20 18 14 12 12 15 17 18 16 15 14 12 9 6 5 6 7 7 6 9 12 16 18 20 22 24 25 22 18 14 11 10 10 11 nan
nan 11 11 11 11 11 11 10 9 9 9 9 9 9 8 8 8 8 8 8 10 10 11 11 12 13 13 13 12 11 10 9 8 8 8 9 9 10 10 10 11 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 9 8 8 8 9 9 10 10 9 9 8 8 8 9 10 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 10 10 10 9 9 8 8 8 8 9 9 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 11 12 12 12 13 16 18 19 18 16 15 16 19 23 26 29 30 28 24 21 20 20 20 20 20 18 17 14 10 6 4 7 11 13 12 10 10 9 9 7 8 11 14 16 16 16 18 20 21 21 22 22 22 19 16 13 11 10 10 11 11 nan
nan 12 12 12 11 11 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 11 12 12 12 12 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 8 8 8 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 8 9 9 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 10 10 11 11 12 13 15 15 15 14 14 14 17 19 22 24 24 22 19 16 15 15 16 16 15 14 12 10 8 6 5 6 10 14 17 17 16 16 16 16 17 19 21 23 21 18 17 17 17 18 17 17 16 15 13 11 10 10 10 10 10 9 nan
nan 12 12 12 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 11 11 12 12 11 11 10 10 9 9 9 9 10 10 11 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 9 9 9 9 9 10 10 11 11 11 11 11 11 12 13 14 15 16 17 16 14 12 10 10 11 11 11 11 10 9 8 9 10 13 15 18 21 22 22 21 20 20 20 21 22 21 19 16 13 13 13 13 13 12 11 10 10 10 10 10 10 10 10 10 8 nan
nan 12 11 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 11 12 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 11 10 10 9 9 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 7 6 7 7 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 7 6 5 5 6 7 9 9 10 10 10 10 11 11 12 12 13 13 13 12 9 7 7 8 9 10 10 11 10 10 11 13 14 15 17 18 19 19 19 17 16 15 16 16 16 14 13 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 nan
nan 10 10 9 9 9 9 10 10 10 9 9 9 9 8 8 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 10 9 8 8 9 9 10 10 10 10 10 11 12 12 11 10 9 8 7 6 5 5 6 7 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 7 4 1 -1 -2 -2 1 4 6 7 8 9 10 10 10 10 10 11 12 12 11 8 3 1 3 6 10 12 13 12 12 11 12 12 12 13 13 13 14 14 13 12 11 11 12 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 11 10 10 11 12 12 nan
nan 8 8 9 9 10 10 11 11 11 10 10 9 9 9 9 9 10 10 10 11 11 11 10 10 9 9 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 8 8 7 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 10 11 11 10 8 7 5 4 2 2 4 6 8 9 9 10 10 10 10 11 11 10 10 10 10 11 11 10 10 10 10 9 8 6 1 -3 -5 -6 -5 -2 1 3 5 6 6 7 7 8 7 6 6 8 10 10 7 2 -4 -4 2 9 16 18 16 13 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 10 10 11 11 11 11 11 11 12 12 nan
nan 9 9 10 11 11 12 12 12 12 11 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 7 8 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 11 12 12 11 10 8 7 6 7 7 7 9 10 9 8 6 5 3 1 1 3 5 6 7 8 8 8 9 9 10 10 10 10 10 10 11 11 10 10 9 8 8 6 4 -0 -5 -6 -5 -2 1 4 6 7 7 7 6 6 6 4 2 0 1 4 7 7 4 -3 -6 -1 7 16 23 22 17 13 11 11 11 10 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 10 10 11 11 11 11 11 11 11 12 12 nan
nan 10 11 11 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 11 10 10 10 10 10 11 10 10 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 10 10 10 10 10 10 9 8 9 10 11 13 12 10 7 5 5 5 5 6 8 9 9 7 5 4 3 3 4 6 7 8 8 7 6 5 5 7 8 9 9 10 10 11 11 10 8 7 5 4 3 1 -2 -4 -6 -3 1 5 8 9 9 9 10 10 9 9 7 5 2 1 3 6 8 7 4 -1 0 8 16 25 27 24 19 14 11 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 nan
nan 11 11 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 9 8 8 9 10 12 12 11 8 6 5 5 6 7 9 9 8 7 4 3 3 5 8 9 10 10 10 8 6 5 4 5 7 8 8 10 11 12 11 8 6 3 1 -0 -1 -2 -3 -2 -0 3 7 9 10 10 10 11 11 11 11 11 10 10 9 9 10 11 11 10 7 7 12 19 25 29 27 22 18 13 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 10 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 11 11 10 8 8 8 8 9 9 9 8 6 5 4 5 7 9 10 11 11 11 10 9 9 8 8 8 8 9 11 12 12 10 7 5 4 4 3 3 3 4 5 7 8 9 10 10 11 11 11 12 12 12 12 13 13 13 14 14 13 13 12 12 14 18 24 28 28 23 18 14 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
0 0 0 0 0 0 0 0 2 4 6 7 8 16 45 74 97 134 178 220 266 315 368 433 519 622 683 680 656 622 581 536 489 441 379 304 222 140 68 17 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 6 8 13 46 89 127 165 199 235 273 308 345 397 486 616 664 650 624 578 511 432 349 270 203 145 89 40 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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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