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 11 10 10 10 10 11 11 11 11 12 12 12 12 11 11 10 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 6 6 6 6 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 8 7 7 6 6 7 7 8 8 8 9 9 9 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 7 6 6 6 7 6 6 nan
nan 11 11 11 11 10 10 11 11 11 11 12 12 12 12 11 10 9 9 9 9 9 9 9 9 9 10 9 9 9 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 8 8 7 7 7 6 6 6 6 7 7 7 7 7 8 8 8 8 9 9 9 9 9 8 9 9 9 9 10 10 10 10 9 10 10 10 9 9 8 8 7 7 7 7 7 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 9 9 9 8 7 7 7 7 8 8 nan
nan 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 6 5 5 5 6 7 7 7 7 6 6 6 6 6 7 7 8 8 8 8 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 7 7 7 7 7 7 8 8 8 9 9 9 8 8 8 7 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 8 nan
nan 12 12 12 12 12 12 12 12 11 11 10 9 8 7 6 6 6 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 6 6 7 7 7 7 6 6 5 4 4 4 4 6 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 8 7 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 9 8 7 6 6 6 7 nan
nan 11 11 12 12 13 13 12 11 10 8 7 5 3 2 2 2 3 3 4 5 6 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 6 6 7 7 7 6 6 5 5 5 5 4 4 4 5 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 10 11 10 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 8 8 8 7 7 7 8 nan
nan 10 10 10 11 11 11 10 8 7 4 3 1 0 -0 0 1 1 2 4 5 6 7 8 8 8 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 6 5 5 4 5 6 6 6 7 7 6 6 5 5 5 6 6 6 6 5 6 7 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 10 12 11 10 8 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 6 7 8 9 9 10 11 12 nan
nan 10 9 8 8 8 8 7 5 4 2 1 0 1 1 2 2 3 5 6 8 8 9 9 9 9 8 9 9 9 9 8 8 7 7 7 6 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 6 6 5 5 4 4 5 5 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 11 11 12 11 10 8 7 7 8 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 8 7 7 8 9 10 11 12 13 nan
nan 8 7 6 5 5 4 4 4 4 4 4 4 4 5 5 6 7 8 9 10 10 10 10 9 9 9 9 9 9 9 8 7 7 7 7 7 8 8 8 8 8 7 8 8 8 8 8 7 7 6 6 6 5 5 5 5 5 6 6 6 7 7 6 6 7 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 8 8 8 8 8 8 8 8 8 9 9 9 10 9 9 9 11 13 13 11 11 11 10 8 7 7 8 9 10 10 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 nan
nan 6 4 3 2 3 3 4 5 6 6 7 7 7 7 8 9 9 10 11 11 11 10 10 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 6 6 5 5 6 6 7 7 7 8 7 7 7 7 8 8 8 9 8 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 9 9 9 9 9 9 10 9 9 8 8 10 12 11 11 12 13 13 10 8 7 8 9 10 11 12 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 6 4 1 nan
nan 2 1 1 1 2 4 5 7 8 8 8 8 8 8 9 9 10 11 11 11 11 11 10 9 9 9 8 8 7 7 6 7 7 8 8 8 9 9 9 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 7 8 8 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 8 8 8 9 9 9 9 9 9 9 8 7 7 8 9 10 10 11 14 16 16 14 11 8 7 7 9 11 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 4 0 -2 nan
nan -0 0 1 2 4 5 7 8 8 8 8 8 8 8 9 9 10 10 11 11 11 10 9 9 8 8 8 7 7 6 6 7 7 8 8 8 8 8 8 7 8 8 8 8 8 8 7 7 6 6 6 6 7 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 9 9 8 8 6 6 6 8 10 11 11 12 15 17 17 16 13 10 8 6 7 8 10 11 12 12 13 12 12 11 11 10 9 9 9 9 9 9 8 8 8 6 3 1 -0 nan
nan 0 1 3 4 6 7 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 10 9 8 8 8 7 7 6 6 7 7 8 8 8 8 7 7 7 7 7 8 8 8 7 7 6 6 6 6 6 7 8 8 8 8 9 9 8 8 9 9 10 10 10 11 11 11 11 11 11 10 9 8 7 7 7 7 7 7 7 8 8 9 9 10 10 10 9 8 8 7 5 4 6 8 10 11 11 12 13 15 16 16 15 12 8 6 5 6 7 9 10 12 12 13 13 12 12 11 10 9 9 9 9 9 9 8 7 7 6 5 5 nan
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nan 6 6 7 7 8 8 8 7 7 7 7 7 7 7 7 7 9 10 10 10 9 9 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 8 8 8 8 8 8 8 9 9 10 10 11 11 12 12 12 12 12 11 11 10 10 9 8 7 6 6 6 6 7 7 7 7 8 8 8 8 9 9 9 9 8 5 4 4 6 8 10 10 10 10 10 11 12 14 15 13 11 8 5 4 5 6 8 9 10 11 12 13 13 12 11 10 11 11 12 12 11 10 10 10 11 10 9 nan
nan 7 6 7 8 8 8 7 7 7 7 7 7 6 5 6 7 8 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 7 7 7 8 8 9 9 10 10 10 10 11 11 12 12 12 12 11 11 11 10 10 10 10 9 8 8 7 7 7 7 7 7 7 8 8 7 7 7 7 7 8 8 9 8 6 5 5 7 8 9 9 9 9 9 10 11 13 14 14 12 9 6 5 4 5 6 7 8 9 11 12 12 12 11 11 11 12 12 12 11 10 9 10 10 10 10 nan
nan 7 7 7 8 8 8 7 6 6 6 7 7 6 6 6 6 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 6 6 7 7 7 8 9 10 11 11 11 11 11 11 11 12 11 11 10 10 10 10 10 11 10 10 8 8 7 7 7 7 7 7 8 8 8 7 7 7 6 7 7 7 8 7 6 5 6 7 8 9 9 9 9 9 10 11 13 14 14 13 10 7 5 5 5 6 6 7 8 9 11 11 12 11 11 11 11 12 12 11 10 9 10 10 10 10 nan
nan 8 9 9 8 8 6 5 4 4 5 5 6 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 10 10 10 10 10 10 10 10 11 11 10 10 10 10 11 11 11 10 9 8 8 7 7 7 7 7 8 8 8 8 7 7 6 6 6 6 6 6 5 4 3 4 6 8 9 9 9 9 9 10 10 12 13 15 14 11 8 6 5 6 6 7 7 7 8 9 10 11 11 11 11 11 11 12 11 10 9 9 10 10 10 nan
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nan 11 12 11 11 9 8 7 6 7 7 8 10 10 11 11 11 10 8 7 6 6 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 10 11 12 12 12 12 12 12 12 11 11 10 10 10 10 9 9 9 10 10 10 11 11 11 11 10 10 9 8 8 8 8 7 7 7 8 7 7 8 7 7 7 7 7 6 6 6 7 6 4 4 4 6 7 8 9 9 10 10 10 11 11 13 14 13 11 9 6 6 8 9 9 9 9 9 9 9 9 8 8 9 9 11 12 11 10 8 8 9 10 10 nan
nan 12 11 11 10 10 9 9 9 10 10 11 12 12 12 12 12 12 11 10 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 11 12 13 13 13 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 7 7 7 7 6 6 7 7 7 7 7 8 8 8 7 5 4 5 6 8 8 8 9 10 11 11 11 12 13 14 13 11 8 6 6 7 8 9 9 9 9 9 9 9 9 9 9 10 11 12 11 10 8 8 9 10 10 nan
nan 11 10 9 9 9 9 10 10 10 10 11 11 12 12 12 12 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 9 10 10 10 9 10 9 9 10 9 9 9 9 9 9 8 8 7 7 6 6 6 7 8 8 8 8 9 9 9 7 4 3 4 6 8 8 8 9 10 11 11 11 12 13 14 13 11 9 7 6 7 7 8 9 9 9 9 9 10 10 10 10 10 11 12 11 11 9 8 8 9 9 nan
nan 9 8 7 8 9 9 10 10 10 9 9 10 10 11 11 10 10 11 11 12 12 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 12 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 10 10 10 10 11 11 11 10 9 8 8 7 6 6 7 8 9 9 9 9 9 9 9 7 5 5 5 7 8 8 8 8 10 11 11 12 13 14 14 13 11 10 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 11 11 11 10 9 8 8 8 9 nan
nan 8 7 7 8 9 10 10 10 9 8 8 9 9 9 10 10 10 9 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 10 10 10 10 11 12 12 12 12 10 9 8 8 7 7 7 8 9 10 10 9 9 8 8 8 8 8 8 8 9 9 8 8 9 10 10 11 12 13 13 13 12 11 10 10 9 9 9 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 8 7 7 7 8 nan
nan 8 9 9 10 10 10 10 9 8 7 7 7 8 8 8 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 12 12 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 10 9 8 8 8 8 8 9 9 10 10 10 8 8 7 7 7 8 9 10 10 9 8 8 9 10 10 11 12 12 12 11 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 9 7 7 7 7 7 nan
nan 9 10 10 10 10 10 10 9 8 7 6 6 7 7 7 8 8 8 8 8 8 10 11 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 10 10 10 9 9 10 10 10 11 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 10 10 11 11 11 11 11 12 11 10 9 9 8 9 9 9 9 9 10 10 9 8 7 7 6 6 7 9 10 10 9 9 9 10 10 10 11 11 12 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 7 6 6 6 7 nan
nan 10 10 10 10 10 10 9 9 8 7 6 6 6 7 7 7 7 7 7 7 9 11 12 13 13 13 12 12 11 11 11 10 10 10 10 10 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 12 11 11 10 10 10 10 10 10 10 11 11 11 11 10 9 9 10 10 10 9 9 9 9 9 8 8 7 6 6 7 9 10 10 10 10 10 11 11 11 11 12 12 10 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 10 10 10 9 8 6 5 5 7 8 nan
nan 10 11 10 10 9 9 8 8 8 7 7 6 6 7 7 7 7 6 7 8 10 13 14 13 13 12 11 11 10 10 10 10 10 11 11 12 12 11 11 11 10 10 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 10 10 10 11 11 11 11 10 9 10 10 10 10 9 8 9 9 8 8 7 6 6 6 7 8 9 10 10 11 11 11 11 11 12 12 10 8 7 8 9 10 10 10 9 9 8 8 9 10 10 10 10 9 10 11 11 11 10 8 7 6 6 7 9 nan
nan 10 11 10 10 9 8 7 7 8 8 8 7 8 8 8 8 8 8 9 10 12 14 13 12 12 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 12 12 11 10 9 10 11 11 10 9 9 9 9 9 9 8 7 6 5 5 6 7 9 10 11 11 11 11 12 12 11 10 8 7 7 8 9 9 10 10 9 8 8 9 9 10 10 10 11 12 12 12 12 11 10 10 9 8 7 8 nan
nan 11 11 11 10 9 8 7 7 7 8 9 10 10 10 11 11 11 11 11 12 12 12 12 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 11 12 11 11 11 11 11 11 10 11 11 12 12 13 12 11 10 10 10 11 11 10 10 9 9 9 9 9 9 8 7 6 5 5 6 8 9 10 11 11 11 12 12 11 11 9 8 7 7 7 8 9 10 9 9 9 9 9 9 10 11 12 12 12 11 11 12 12 12 12 10 9 9 nan
nan 11 12 12 11 10 9 7 7 7 8 9 10 11 11 12 12 12 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 11 11 11 11 11 11 10 9 10 11 11 12 12 12 11 11 10 10 10 10 9 9 9 10 10 10 10 10 9 8 8 7 6 6 6 7 8 10 10 11 11 12 12 12 11 10 9 7 7 7 7 9 10 10 11 11 9 8 8 10 11 12 11 11 10 11 12 13 14 14 13 12 11 nan
nan 11 11 11 10 10 9 8 7 7 8 9 10 11 11 12 12 11 11 10 10 10 10 10 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 10 9 9 9 9 10 11 11 11 11 11 11 11 10 8 8 8 9 10 11 11 10 9 9 9 8 7 6 6 6 7 8 9 10 11 11 12 12 12 11 11 10 9 8 6 7 8 10 11 12 12 9 8 8 9 10 11 10 10 10 10 11 12 14 15 15 15 14 nan
nan 11 10 10 9 9 9 9 8 8 9 10 11 11 11 11 11 10 10 10 10 10 11 12 13 13 13 13 12 12 12 11 11 10 10 10 9 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 11 11 11 11 10 10 10 9 9 9 10 10 11 12 13 13 11 9 8 8 8 10 12 12 11 10 10 9 9 9 8 7 6 6 6 7 8 9 10 11 12 12 12 12 12 11 10 8 6 6 9 11 12 13 11 9 8 8 9 10 10 9 9 10 10 11 12 13 14 14 14 14 nan
nan 11 10 10 9 9 10 10 10 11 12 12 12 12 11 11 11 11 11 11 12 12 12 13 13 14 14 13 12 12 12 11 11 10 10 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 10 10 10 10 11 11 11 10 10 11 11 10 10 10 11 11 11 10 10 9 10 12 13 13 13 11 9 9 8 9 11 12 12 11 11 10 10 10 9 9 7 6 5 6 7 8 9 10 11 12 13 13 13 12 11 10 8 6 7 9 11 12 12 10 9 9 9 9 10 9 9 9 10 10 11 11 12 12 12 12 12 nan
nan 12 11 11 11 11 11 11 12 13 13 13 13 12 12 11 11 12 12 13 13 14 13 13 13 13 13 12 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 9 9 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 11 11 12 12 12 11 10 10 9 10 11 11 11 11 11 10 10 10 10 10 9 7 6 6 6 7 8 9 10 12 13 13 13 12 10 8 6 6 7 9 11 12 11 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 10 9 nan
nan 13 12 12 12 12 12 12 13 14 14 14 14 13 12 11 11 12 13 14 14 15 14 13 12 12 12 11 10 10 10 10 9 9 8 8 9 10 11 11 11 10 9 9 8 8 8 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 9 9 10 10 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 9 8 7 6 6 7 8 9 11 12 13 13 12 9 7 6 6 8 10 11 12 12 12 11 10 9 10 10 10 10 10 9 9 8 8 8 8 8 9 8 nan
nan 13 13 12 12 12 12 12 12 13 14 14 14 13 11 10 10 10 12 13 14 14 14 13 12 12 12 11 10 10 10 10 9 9 8 8 9 10 11 11 11 11 10 9 8 8 8 8 9 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 10 11 11 10 9 8 7 6 6 6 8 9 11 12 13 12 9 7 5 6 8 10 12 13 13 11 10 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 7 nan
nan 13 13 13 13 12 12 12 12 13 13 13 12 11 10 9 9 9 11 13 14 14 13 13 12 12 12 11 11 11 10 10 10 9 9 8 8 9 10 11 11 11 10 10 9 8 8 9 9 10 10 10 10 9 9 10 10 11 11 11 11 11 11 11 12 12 12 11 11 10 10 10 10 10 11 11 10 10 10 11 11 12 12 12 11 11 10 9 9 9 9 10 10 10 10 10 9 8 7 5 5 6 7 9 11 12 12 9 7 6 6 8 10 12 13 11 10 9 9 9 10 10 10 9 9 8 8 7 7 7 8 8 8 6 nan
nan 14 14 14 13 12 12 12 12 12 12 12 11 10 10 10 10 11 12 13 13 14 14 13 12 12 11 11 11 10 10 10 10 10 9 8 8 8 9 10 11 11 10 10 10 9 9 9 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 12 12 12 11 10 10 10 10 11 11 11 11 11 10 10 11 11 12 13 13 12 12 11 10 9 9 9 9 9 8 9 9 10 9 8 5 4 4 5 7 9 11 11 10 9 7 7 7 9 10 11 9 8 9 9 10 9 9 9 8 8 8 7 7 7 8 9 9 7 3 nan
nan 14 14 13 13 12 11 11 11 11 12 11 10 10 10 11 12 13 13 13 13 13 13 13 12 11 11 10 10 9 9 9 9 9 9 8 7 7 9 9 10 10 10 10 10 10 10 11 10 10 10 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 10 9 9 10 11 11 11 11 10 10 10 10 11 12 12 12 12 12 11 11 10 10 10 10 9 8 8 8 9 10 8 6 3 2 3 6 8 9 10 11 11 10 9 8 8 9 8 8 8 9 10 10 10 9 9 9 9 8 8 7 8 8 9 8 4 -1 nan
nan 13 12 13 13 12 11 10 10 11 11 10 10 9 10 11 13 14 14 13 13 13 13 13 12 11 10 9 9 8 9 9 9 8 8 7 7 7 8 9 9 9 9 10 11 11 11 11 11 10 10 9 9 9 9 10 11 11 11 12 12 11 11 11 11 12 12 11 10 9 9 9 10 11 11 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 11 11 9 8 7 8 8 7 5 3 3 4 6 8 9 10 11 12 12 12 11 11 10 9 9 9 10 10 10 10 9 9 9 9 9 8 7 7 6 5 2 -2 -4 nan
nan 13 12 12 12 12 11 11 11 11 10 9 9 10 11 12 12 12 12 12 12 12 12 12 11 11 10 9 8 8 8 9 8 8 7 7 7 8 9 9 10 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 12 12 11 11 12 12 12 11 9 9 9 10 11 11 10 10 10 9 9 9 9 9 9 10 10 11 12 13 13 13 13 12 10 8 7 6 6 6 4 4 5 6 7 9 10 11 11 12 13 13 13 14 14 13 11 10 9 9 9 9 9 10 10 9 8 7 5 4 2 0 -1 -2 -1 nan
nan 14 13 13 12 11 11 10 11 10 10 9 10 11 12 13 12 12 12 11 11 11 11 11 11 11 10 9 9 8 8 8 8 8 8 8 8 9 10 11 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 12 10 9 8 7 5 4 4 5 7 8 9 10 11 12 12 12 12 13 14 16 16 15 14 12 10 9 9 9 9 9 8 7 6 5 3 2 1 1 2 4 7 nan
nan 14 14 13 12 11 10 10 10 10 9 9 10 11 12 13 12 12 11 11 10 10 10 10 10 11 11 10 9 9 9 8 8 8 8 9 9 10 11 11 12 11 11 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 10 10 9 9 9 9 10 10 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 10 10 9 8 6 5 5 7 9 10 11 12 13 13 12 12 12 13 14 15 15 15 14 13 12 11 11 10 9 7 6 4 4 3 3 3 5 7 9 11 12 nan
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nan 9 8 7 6 6 6 7 8 10 12 13 13 13 12 12 11 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 7 6 6 7 9 11 14 16 18 19 18 16 15 13 12 13 15 16 17 17 16 16 16 17 16 15 13 12 11 11 11 11 11 11 11 10 9 8 6 4 3 3 3 4 5 6 7 9 10 10 11 11 11 10 9 8 9 11 12 14 15 15 14 13 11 11 12 13 14 13 12 11 10 11 11 12 11 10 9 9 9 nan
nan 9 8 7 7 6 6 7 8 10 11 12 13 13 12 12 12 11 11 11 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 10 11 11 10 10 10 11 11 10 9 7 6 6 6 7 7 8 9 12 15 16 17 17 16 15 15 15 15 15 15 15 15 15 16 15 14 13 12 12 11 10 10 11 12 12 12 10 8 5 3 3 3 4 5 6 7 8 9 10 11 12 13 13 13 12 12 14 15 16 17 17 17 17 16 15 14 14 14 14 13 12 11 11 11 11 11 11 10 10 10 10 nan
nan 9 8 8 7 7 7 7 8 9 10 11 12 12 12 12 12 12 12 11 11 9 8 7 7 7 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 11 11 11 11 10 9 8 8 7 7 6 5 5 6 8 11 13 14 15 14 14 14 14 13 13 12 12 12 12 12 12 12 11 11 10 9 9 10 11 13 13 13 11 9 7 6 6 6 7 8 8 9 10 11 12 13 14 14 14 14 15 17 18 18 17 17 17 17 16 15 13 11 11 11 11 11 11 10 11 11 11 10 10 10 10 10 nan
nan 9 8 8 8 7 7 8 8 9 9 10 10 11 11 11 11 11 11 11 10 9 8 8 8 8 8 8 6 7 7 8 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 11 9 9 8 8 7 7 6 5 5 6 6 8 10 11 12 12 13 13 13 12 11 11 10 10 10 10 10 10 10 9 9 9 9 10 11 12 13 13 13 13 12 10 9 9 9 9 9 10 11 12 14 14 15 15 15 17 19 19 19 18 17 17 16 14 12 10 9 8 9 9 10 10 11 11 10 10 9 9 9 10 10 nan
nan 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 11 11 11 11 10 9 9 9 10 10 8 6 5 5 7 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 10 9 9 8 8 8 7 7 6 6 5 5 7 8 9 10 11 12 13 12 12 11 11 10 10 9 9 9 9 9 9 9 8 8 8 7 8 9 11 12 12 12 10 9 9 9 9 10 11 12 13 14 15 16 16 17 19 20 20 19 18 16 15 13 11 11 10 9 8 8 9 9 11 12 12 12 10 9 9 9 10 10 nan
nan 9 9 8 8 8 8 8 9 9 10 10 9 9 9 10 10 10 10 10 10 10 10 9 10 11 11 10 8 7 6 7 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 7 7 7 7 6 6 6 6 7 7 8 9 10 11 11 10 10 10 10 10 9 9 9 8 8 8 8 8 8 7 5 4 4 4 5 6 6 7 7 8 9 10 11 12 12 13 15 16 16 17 18 19 20 19 18 16 14 12 10 10 10 10 10 9 9 9 10 12 13 14 13 11 10 10 10 10 10 nan
nan 9 9 8 8 8 8 9 9 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 8 8 9 9 10 11 11 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 11 10 10 9 9 8 8 8 8 7 6 6 6 5 6 7 8 9 8 8 8 9 10 10 10 9 9 9 8 8 7 7 7 7 7 5 3 1 0 0 1 3 5 7 8 9 10 11 12 13 13 15 16 17 18 18 18 17 16 13 12 10 9 8 9 10 11 11 10 10 10 10 12 12 13 13 12 11 11 11 11 10 nan
nan 10 9 8 7 8 8 9 10 10 11 10 10 10 10 10 10 10 9 9 9 9 10 9 9 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 11 12 12 12 13 13 12 12 12 11 11 11 10 9 9 8 8 7 7 7 6 6 7 8 8 8 7 6 7 9 10 10 10 9 9 9 9 9 8 8 8 8 7 6 5 4 2 2 3 5 6 8 9 10 11 12 12 13 13 15 16 17 18 18 16 14 11 9 8 7 7 7 8 9 10 10 10 9 10 10 10 10 11 11 11 11 11 11 11 10 nan
nan 10 10 9 8 8 9 10 11 11 11 10 10 10 10 10 10 10 9 9 10 10 11 10 9 8 8 8 9 9 10 10 11 11 11 10 9 8 8 8 8 9 10 10 11 12 13 13 13 13 13 13 12 12 12 11 11 11 10 9 9 8 8 8 8 8 8 8 8 8 7 7 8 11 11 11 11 10 10 10 10 11 12 12 11 10 9 9 8 7 7 6 7 7 8 9 10 10 11 12 12 13 14 15 16 17 18 16 13 10 8 7 7 7 7 6 7 8 10 9 9 8 9 9 10 10 10 10 11 11 11 11 11 11 nan
nan 10 10 9 9 9 10 11 11 11 11 11 11 11 11 10 10 10 9 10 10 10 11 10 9 9 8 8 10 12 13 12 11 11 10 10 9 8 8 8 9 10 10 11 12 13 13 14 14 14 13 13 12 11 12 12 12 12 11 11 10 9 9 9 9 8 8 9 9 9 8 9 10 11 12 13 13 12 12 11 11 12 13 14 14 14 13 12 11 10 9 9 8 9 9 10 10 11 11 12 12 13 14 15 16 17 17 15 12 9 6 6 8 9 8 8 9 10 11 9 8 8 9 10 10 10 10 10 11 11 11 11 11 11 nan
nan 9 9 9 10 10 11 11 12 12 11 11 11 11 11 11 10 10 9 9 10 10 10 10 9 9 9 10 13 15 14 13 10 9 10 11 11 10 9 10 10 11 11 12 13 13 14 14 14 14 13 12 11 11 11 11 12 12 12 12 11 10 10 10 9 9 9 9 9 9 9 9 10 11 11 12 13 15 14 13 12 10 10 11 12 13 12 12 11 10 9 9 9 9 10 10 11 11 12 12 12 13 15 16 17 18 17 15 12 8 6 6 9 11 11 11 11 12 11 10 9 9 10 10 11 11 10 10 11 11 11 11 11 11 nan
nan 9 8 9 10 10 11 12 12 12 12 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 12 14 15 14 11 9 10 11 12 12 12 11 11 11 11 11 12 13 13 14 14 14 14 14 12 11 11 11 12 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 11 12 14 14 14 14 11 9 8 7 8 8 8 8 8 8 9 9 10 10 11 11 12 12 13 14 15 15 16 17 18 18 16 13 9 7 8 9 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 8 8 9 9 10 11 12 12 12 12 11 10 10 11 11 10 10 9 9 9 9 10 10 11 11 11 12 12 12 12 11 10 10 11 12 12 12 12 12 11 11 12 12 13 13 14 14 14 14 14 12 11 11 12 13 13 12 12 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 12 13 14 14 12 10 8 7 6 7 7 8 9 9 10 11 11 12 12 13 14 15 15 16 16 16 16 17 17 16 13 10 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 12 11 11 10 10 10 11 11 11 nan
nan 8 8 9 10 11 12 12 12 12 12 11 10 10 10 10 10 10 10 9 9 10 10 10 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 14 14 13 13 12 12 13 13 13 12 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 11 12 14 15 14 14 12 11 10 9 9 10 10 11 11 12 12 13 14 15 16 16 17 17 16 16 15 15 15 14 12 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 12 11 11 10 10 10 11 11 11 nan
nan 8 8 9 11 12 12 13 13 13 12 11 10 10 10 10 10 10 10 9 9 9 10 10 9 9 9 10 10 10 11 11 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 14 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 9 9 10 10 10 11 11 13 14 14 15 14 12 12 11 12 12 12 12 13 13 14 15 16 17 17 17 17 17 16 15 14 13 13 12 11 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 11 11 11 nan
nan 8 9 10 11 12 13 14 14 14 13 12 11 11 10 10 10 10 10 9 9 9 9 9 8 8 9 10 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 12 12 12 11 11 11 10 10 11 11 11 11 12 11 11 10 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 11 11 12 13 14 14 14 14 14 15 16 17 17 17 17 16 15 14 13 12 11 11 11 10 10 10 10 9 9 9 10 10 10 9 10 10 10 10 11 11 11 12 11 11 10 10 10 10 11 nan
nan 8 9 10 12 13 14 14 14 14 13 12 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 11 12 12 12 13 13 12 11 11 11 12 12 12 11 11 11 12 12 12 12 12 12 12 12 13 13 13 12 12 12 11 11 10 10 10 10 11 11 11 12 12 11 11 10 10 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 12 14 15 15 14 14 14 15 16 16 15 15 14 13 12 11 10 9 9 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 nan
nan 8 9 11 12 13 14 15 15 14 13 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 12 13 14 14 14 13 12 11 10 11 11 12 12 12 12 12 12 12 11 11 11 11 11 12 12 13 13 13 13 12 12 11 10 10 10 10 10 11 11 11 12 12 12 11 11 11 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 11 13 13 14 13 13 13 14 14 13 12 11 10 9 9 9 8 8 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 11 11 11 10 10 nan
nan 9 10 11 12 13 14 15 15 14 14 13 12 12 11 10 10 11 11 11 11 11 10 10 11 12 12 14 15 16 15 14 12 10 10 11 11 11 11 11 12 12 12 11 11 10 11 11 12 12 12 13 13 13 13 12 12 11 11 10 10 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 12 12 12 13 13 13 12 11 10 9 8 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 nan
nan 9 10 12 13 14 15 15 15 15 14 13 12 12 11 11 11 11 11 11 10 9 9 9 9 10 11 12 14 14 14 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 12 12 12 13 13 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 9 9 9 9 10 10 10 11 11 12 12 13 13 13 12 11 10 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 nan
nan 10 11 12 14 14 15 15 15 15 14 13 12 12 12 11 11 10 9 9 9 9 9 9 8 8 9 11 12 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 13 13 13 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 13 13 13 12 10 10 10 10 10 11 11 12 12 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 10 10 10 nan
nan 11 12 14 15 15 15 15 15 15 14 13 12 12 12 11 10 9 8 7 8 9 10 10 9 9 10 10 11 11 10 8 7 7 7 7 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 9 9 10 10 11 12 12 12 12 11 11 11 11 11 11 10 10 11 11 11 11 11 11 12 12 12 12 11 10 10 10 11 11 10 10 10 10 nan
nan 12 14 15 16 16 16 15 15 14 14 13 12 12 12 12 11 9 8 8 9 10 10 10 9 9 10 11 12 13 11 9 7 6 6 8 9 10 10 10 10 10 9 10 10 11 11 10 10 10 10 11 11 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 12 12 12 12 11 10 10 10 10 9 9 9 9 9 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 nan
nan 14 16 17 17 16 15 14 14 13 13 12 12 13 13 13 11 9 8 9 9 10 10 10 9 9 10 11 13 14 13 11 9 8 9 10 11 11 11 11 10 10 9 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 11 11 12 12 12 12 11 11 10 10 10 10 11 12 12 13 13 14 14 13 12 10 10 10 9 8 8 8 9 9 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 10 10 10 11 10 10 10 10 10 10 nan
nan 15 17 17 16 15 14 13 12 12 12 12 12 13 13 12 10 8 8 9 10 11 11 10 10 10 10 11 12 13 13 13 12 12 11 11 10 10 10 11 11 10 10 10 10 11 11 11 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 11 12 13 14 14 14 14 13 12 11 10 10 10 9 8 8 8 9 9 10 10 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 10 10 10 10 10 nan
nan 17 17 16 15 14 13 12 11 12 12 12 13 13 13 11 9 9 9 10 11 12 12 11 10 10 10 10 11 11 12 13 13 12 11 9 9 10 10 11 11 11 10 11 11 11 12 11 11 11 11 11 11 12 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 11 13 15 15 14 13 12 11 10 8 8 9 10 9 8 8 8 9 9 10 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 10 10 10 10 10 10 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
4 5 5 5 5 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 4 4 4 4 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 3 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 2 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 6 9 11 12 12 11 8 5 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 4 6 9 13 19 24 25 22 17 14 12 10 7 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
14 16 19 22 25 28 27 23 16 9 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 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
21 21 24 25 24 22 17 12 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0
22 22 22 21 18 13 8 4 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 1 1 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
20 20 18 15 10 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 1 2 5 9 9 7 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
14 12 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 13 16 18 16 13 9 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
4 3 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 3 8 13 18 20 19 16 13 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 17 18 17 15 12 10 9 9 10 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 18 22 24 23 20 14 11 7 6 8 10 12 11 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 0 0 0 0 0 0 0 0 0 0 0 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 4 11 22 34 41 37 29 21 14 8 4 2 3 6 10 13 11 6 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 1 1 2 4 6 8 12 24 37 44 42 31 21 13 7 3 1 0 1 4 7 9 7 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 0 0 0 0 0 0 0 0 0 0 0 1 3 9 14 17 19 20 21 23 31 37 38 31 19 12 6 3 0 0 0 1 2 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 15 26 33 36 37 36 35 36 37 36 31 21 10 4 1 0 0 0 0 0 1 3 5 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 21 27 31 33 36 37 37 37 36 33 27 18 8 2 0 0 0 0 0 0 0 1 3 5 7 7 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 16 22 24 23 21 22 24 27 29 29 26 23 18 12 4 2 0 0 0 0 0 0 0 0 1 2 4 6 6 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 0 0 0 0 0 0 0 0 0 2 3 3 2 0 1 1 1 1 0 0 0 0 0 0 1 4 9 15 20 21 18 15 12 11 11 14 17 17 16 14 12 10 7 4 2 0 0 0 0 0 0 0 0 0 1 2 3 4 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 1 1 1 1 0 0 0 1 1 2 5 14 21 19 15 12 11 11 10 9 7 4 2 3 7 14 21 24 19 11 5 3 2 3 3 5 7 7 6 5 4 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 4 24 43 46 44 40 36 34 33 30 27 23 18 17 24 26 24 17 8 3 1 0 0 0 0 1 1 1 2 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 26 53 62 61 59 56 54 53 52 50 46 42 39 34 24 14 6 1 0 0 0 0 0 0 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 21 46 65 72 69 68 67 67 68 67 64 60 53 44 28 12 3 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 1 1 0 0 0 0 0 0 2 3 3 2 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 1 1 2 3 6 43 69 78 76 74 74 77 79 79 75 69 59 47 31 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 3 2 1 0 0 0 0 1 2 3 3 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
1 2 2 3 3 2 2 1 1 1 2 2 0 3 7 17 26 28 17 6 14 39 57 81 92 91 84 81 84 87 87 83 73 61 46 30 11 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 2 1 0 0 0 0 0 1 1 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
11 13 14 16 14 13 11 9 8 12 20 21 7 16 27 44 64 81 82 55 71 130 144 131 115 102 95 95 97 96 90 78 61 43 26 11 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
42 41 36 34 34 34 32 30 29 36 51 56 38 50 64 80 98 117 131 139 149 160 153 136 119 107 101 99 96 89 78 60 39 21 8 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 1 1 1 2 4 5 4 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
70 61 49 48 52 54 56 59 63 67 79 88 88 96 105 115 125 137 152 165 171 169 155 133 116 104 97 89 78 64 48 30 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 1 1 1 2 1 1 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
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