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 14 13 11 10 10 11 12 11 10 10 10 11 12 12 11 11 11 10 10 10 10 9 9 9 9 8 7 7 6 6 6 6 5 3 2 3 5 7 9 10 11 10 9 8 8 8 8 9 8 7 6 6 6 6 6 7 8 9 9 9 9 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 9 10 10 10 9 9 9 10 10 9 9 9 9 8 8 9 12 12 11 9 8 6 5 5 5 5 5 8 9 8 7 7 8 8 7 7 7 7 7 7 8 9 9 10 10 9 9 9 8 6 6 6 7 9 9 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 11 10 8 7 6 7 7 7 7 7 7 8 8 8 8 7 6 6 6 7 7 8 8 nan
nan 19 16 13 10 10 11 12 12 12 11 11 12 12 11 11 11 11 10 10 9 9 9 9 10 10 9 8 7 6 6 5 5 3 1 0 1 3 5 7 9 10 9 9 9 9 9 9 9 9 8 6 6 7 9 10 11 11 10 10 9 9 8 8 8 8 8 8 7 6 6 6 6 6 6 5 5 5 5 5 6 7 8 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 10 11 10 10 9 8 7 6 6 5 6 7 8 7 7 7 7 7 7 7 8 8 7 7 7 8 9 9 10 10 10 9 8 7 6 6 6 7 8 8 8 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 8 7 6 6 6 7 8 7 7 7 7 8 8 8 8 7 6 6 6 7 7 8 8 nan
nan 22 19 14 11 10 11 12 13 12 11 11 12 12 12 12 12 11 11 10 10 9 9 10 10 10 10 10 8 7 6 4 2 -0 -1 -1 -1 0 3 5 7 8 8 9 9 10 9 8 9 9 8 7 7 8 11 13 13 12 12 11 10 9 8 8 8 8 8 8 8 7 6 6 7 7 6 5 4 4 4 4 5 6 7 8 9 8 8 8 7 7 7 7 7 7 8 8 8 7 8 9 10 10 9 9 8 7 7 6 6 6 7 7 7 6 6 7 7 7 8 8 8 7 8 8 9 9 10 10 11 10 9 8 7 7 6 7 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 7 5 4 4 5 7 8 8 7 6 6 7 7 8 7 7 7 7 7 7 7 7 8 8 nan
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nan 21 20 17 14 12 12 12 12 12 12 12 12 13 14 14 14 14 14 13 13 13 12 12 11 11 10 9 7 4 2 -1 -4 -2 2 3 1 0 0 1 1 3 6 7 8 9 9 10 10 11 12 12 12 11 13 15 15 14 13 12 11 10 10 10 8 8 8 9 9 10 10 9 8 8 7 7 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 7 7 7 7 7 8 7 7 6 6 6 6 6 6 5 4 4 6 8 9 9 9 9 8 9 9 9 9 9 10 10 11 11 10 10 9 9 8 8 8 7 6 7 7 7 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 6 4 3 3 4 5 7 7 8 8 7 7 7 7 6 6 6 7 7 8 8 8 9 9 8 nan
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nan 13 14 15 15 14 13 12 12 12 11 11 11 12 14 14 15 16 16 15 15 14 14 13 12 11 9 7 6 6 7 9 10 11 11 8 8 8 6 3 1 0 1 2 5 9 14 17 17 14 12 10 9 9 9 8 8 9 9 10 9 9 9 9 8 7 6 5 4 4 4 5 6 6 6 6 6 6 5 5 5 5 5 6 6 7 8 8 7 7 7 6 6 7 7 8 7 5 5 4 4 4 4 3 4 6 7 8 10 11 11 10 10 9 9 10 9 8 7 7 8 8 8 9 8 8 8 9 10 10 11 11 11 10 9 8 8 8 8 8 8 8 8 7 8 10 11 12 11 10 9 9 9 9 9 8 8 8 8 8 6 5 5 7 9 10 9 7 6 5 5 5 6 7 7 7 6 6 6 7 7 8 9 9 9 9 nan
nan 11 12 14 14 13 12 11 10 10 10 11 12 13 14 14 14 14 14 13 13 12 12 12 11 10 10 8 8 10 11 13 15 15 14 13 13 12 9 4 2 -0 0 4 8 13 16 16 13 10 8 6 5 4 5 5 6 7 7 7 6 6 5 5 5 4 4 4 4 4 5 5 5 6 6 6 7 7 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 7 9 10 11 11 11 11 10 10 9 9 9 9 8 7 7 7 7 8 9 9 8 8 9 9 10 10 10 10 9 9 8 8 7 8 9 9 8 7 6 7 9 11 12 11 10 9 8 8 9 9 8 8 8 8 8 7 6 6 8 10 10 9 7 6 5 5 5 5 6 6 7 7 7 7 7 8 8 8 8 9 9 nan
nan 11 12 12 13 12 11 11 10 10 10 11 12 13 13 12 12 11 11 11 11 10 10 10 10 9 9 8 8 10 13 16 18 20 20 20 20 17 11 6 2 -0 2 6 10 14 15 13 10 7 5 4 3 4 6 6 6 6 5 4 4 3 3 3 3 3 4 4 5 5 5 5 5 5 5 6 6 7 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 9 10 11 11 11 10 10 9 9 8 8 9 9 8 8 7 7 7 8 9 9 9 8 9 9 10 9 8 8 9 10 10 9 8 8 9 9 8 7 6 7 8 10 10 10 10 10 9 9 10 10 10 9 9 9 8 7 7 7 9 10 9 8 7 6 6 6 6 5 6 6 6 6 7 7 8 9 8 8 8 8 8 nan
nan 13 13 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 7 8 10 12 15 19 22 24 25 23 18 13 8 5 5 7 9 11 13 13 11 8 5 4 4 6 7 9 9 8 6 4 3 3 3 3 3 3 3 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 8 8 9 9 9 9 10 9 8 7 8 9 10 10 9 9 8 9 9 8 8 8 7 8 8 9 9 10 10 10 10 10 11 11 11 10 9 8 7 7 7 8 8 8 8 7 7 7 7 6 6 7 7 6 6 7 8 9 9 9 8 8 8 8 nan
nan 16 15 14 13 13 12 11 10 9 9 9 9 9 9 9 10 10 10 10 9 8 7 7 7 7 8 8 8 10 11 13 16 19 21 22 20 17 13 11 12 13 12 11 11 12 11 10 7 4 4 5 7 9 10 10 8 5 3 2 2 4 4 3 3 4 4 5 5 5 6 8 8 8 7 7 6 6 6 6 6 6 5 3 4 5 6 7 7 7 7 6 6 6 6 6 7 7 8 9 10 11 11 11 10 10 9 9 8 8 8 9 8 8 8 8 8 8 8 9 8 8 8 8 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 7 7 7 9 10 10 11 12 12 12 11 9 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 6 7 7 8 9 9 9 8 8 8 8 nan
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nan 16 15 14 13 13 11 9 9 8 8 7 7 8 8 9 9 9 9 7 6 5 5 6 7 7 8 9 9 10 11 13 14 13 13 14 14 15 16 15 14 12 11 11 11 10 9 8 5 3 3 4 5 7 8 8 6 4 2 2 4 5 6 6 5 5 6 7 9 11 11 10 9 8 7 7 7 7 8 8 9 8 7 5 4 4 4 4 5 5 5 5 5 5 6 6 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 7 8 8 9 9 10 10 10 10 9 9 8 8 8 8 7 7 7 8 9 9 10 10 8 6 5 5 6 7 8 8 9 10 10 10 10 11 11 11 10 8 8 8 8 7 7 8 7 7 7 8 8 8 8 9 10 10 9 8 7 7 8 8 nan
nan 14 13 12 13 13 11 10 9 8 8 7 7 7 7 8 9 9 8 7 6 6 7 7 8 8 9 9 9 9 9 11 12 12 13 13 14 15 15 14 12 11 10 10 10 8 7 6 4 2 2 4 5 7 8 8 7 6 4 4 5 6 7 6 6 7 8 10 10 10 9 7 7 7 7 7 8 8 9 10 10 9 8 7 6 5 4 3 3 4 5 5 6 6 7 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 7 8 8 8 8 7 7 8 8 8 7 7 8 8 7 7 8 9 9 9 9 9 9 8 8 8 8 8 8 7 7 8 8 9 10 10 8 7 6 6 6 6 6 6 7 7 8 9 11 13 15 15 13 11 9 8 7 7 8 8 7 7 7 8 8 7 7 8 9 9 8 7 7 8 8 9 nan
nan 13 12 12 12 13 12 11 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 8 9 10 10 11 11 12 13 14 14 13 12 11 10 9 9 7 6 6 5 5 5 6 7 8 9 10 9 8 6 6 7 7 7 7 7 9 9 10 9 7 5 5 6 6 7 8 8 9 10 9 9 8 9 10 9 7 5 4 4 5 6 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 8 9 8 8 7 8 8 8 8 8 8 9 9 9 8 7 8 8 8 8 8 9 9 9 9 9 8 7 8 8 8 7 7 7 6 6 7 9 12 15 16 15 13 11 9 8 7 7 7 7 8 8 8 7 7 6 6 6 6 6 7 8 9 9 8 nan
nan 14 12 12 12 13 12 11 10 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 10 11 12 13 13 13 12 11 10 9 8 8 7 7 8 8 9 9 10 11 12 14 13 11 8 6 7 7 7 7 7 8 9 9 8 7 5 6 6 6 7 7 8 9 9 8 7 7 7 9 10 10 9 7 5 5 6 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 8 9 10 10 10 9 8 9 9 8 8 8 8 8 8 8 9 10 10 10 10 9 8 8 9 8 8 9 9 9 9 8 8 8 9 9 8 8 7 8 8 8 7 8 9 12 14 15 14 12 11 10 9 7 6 7 8 8 7 6 6 5 5 5 5 6 7 8 9 9 8 nan
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nan 16 15 14 13 12 12 11 10 10 10 9 9 8 8 7 7 8 8 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 8 8 9 10 11 12 13 14 15 16 17 17 16 14 11 9 9 10 10 10 10 10 9 9 8 8 7 7 7 7 8 8 8 8 8 7 7 7 6 5 4 3 4 5 6 6 6 5 5 5 5 5 6 6 6 7 7 8 8 7 7 7 7 7 8 8 8 9 9 10 10 11 11 11 12 12 12 11 10 10 10 9 9 9 9 9 9 9 8 8 8 9 10 11 11 10 9 9 8 9 9 9 8 8 8 8 8 7 7 7 6 6 7 8 9 8 8 7 7 8 9 9 10 11 11 10 8 7 7 6 6 6 6 6 6 6 7 7 7 7 8 8 7 7 nan
nan 15 14 13 12 12 11 10 10 9 9 9 8 8 7 6 6 7 7 8 9 10 11 11 12 11 11 10 10 10 9 10 9 9 9 8 8 8 7 7 6 6 7 9 10 11 12 13 13 14 15 16 16 16 15 14 13 12 13 13 14 13 13 11 10 9 9 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 5 5 5 5 6 7 7 6 6 5 5 5 5 6 6 7 7 7 7 6 6 7 7 8 9 9 10 10 10 11 11 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 8 8 7 7 8 9 10 11 10 9 8 9 9 9 9 8 8 8 8 8 7 7 7 6 6 6 7 7 7 7 7 6 6 6 6 7 8 9 9 9 8 7 6 5 6 7 7 8 9 8 8 8 7 7 7 7 7 nan
nan 12 12 12 11 10 10 10 9 9 9 9 9 8 7 6 6 6 6 7 8 9 10 11 11 11 10 10 10 9 9 9 8 8 7 7 7 6 6 6 6 7 8 9 10 11 12 12 13 13 13 14 14 14 14 14 15 15 16 16 15 14 12 10 8 8 8 9 8 8 9 9 9 9 9 9 9 8 7 6 6 6 7 7 7 7 7 7 7 7 7 6 6 5 5 5 6 6 7 6 6 6 7 7 8 8 9 10 10 11 12 12 12 11 11 11 11 10 10 9 9 9 9 8 8 8 8 9 8 8 7 7 7 7 8 9 10 10 9 9 9 9 9 8 8 8 8 8 8 7 7 7 6 6 6 6 7 7 7 7 6 5 5 6 6 7 7 7 8 7 6 5 6 7 8 10 10 10 9 9 8 7 7 7 8 8 nan
nan 11 11 10 10 9 9 9 9 9 9 9 9 8 7 6 6 5 6 6 7 8 9 10 10 9 10 10 10 9 9 8 8 8 8 7 7 7 7 7 7 8 9 10 10 11 11 12 12 11 12 12 13 14 15 16 16 15 14 13 12 11 11 10 9 9 9 10 10 11 11 10 10 10 10 11 11 10 8 7 6 7 7 7 7 7 7 7 8 8 8 7 7 6 5 5 5 6 6 6 7 8 10 10 9 10 10 11 12 12 12 12 12 12 11 10 9 8 8 8 9 8 8 8 7 7 8 8 8 7 7 7 6 7 8 9 9 9 8 8 8 7 7 7 7 7 7 7 8 7 8 7 7 7 8 8 8 8 8 7 7 6 6 7 8 8 7 7 7 7 6 5 6 7 9 10 11 10 9 9 8 8 7 8 9 10 nan
nan 10 9 9 8 8 8 8 8 8 8 8 8 8 7 6 5 5 6 6 6 6 7 7 7 8 9 10 10 9 9 9 9 9 8 8 8 7 7 8 8 9 9 10 10 11 11 11 11 11 11 12 13 14 15 16 16 14 12 10 9 9 9 10 11 13 13 12 12 12 12 12 11 11 11 11 11 10 9 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 6 5 5 6 7 8 10 11 12 11 11 11 12 12 12 11 11 11 12 12 11 9 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 7 8 8 8 8 7 7 6 5 5 5 6 7 7 8 8 8 8 8 8 9 9 9 9 10 9 8 8 8 8 9 9 9 8 8 7 7 6 5 5 6 8 9 10 10 9 9 8 8 8 9 10 11 nan
nan 8 7 7 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 10 10 9 9 9 9 9 9 9 8 7 7 8 8 9 9 10 10 11 11 12 12 12 12 12 13 13 14 15 14 12 10 8 7 7 7 9 11 14 14 12 12 11 11 11 11 11 11 10 9 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 7 7 7 6 7 9 10 12 13 13 13 12 11 11 12 11 11 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 7 6 6 6 6 6 7 7 7 7 7 7 7 6 6 5 4 4 5 6 7 8 8 9 9 9 9 9 9 10 10 10 9 9 8 8 9 10 10 10 9 8 8 8 7 7 6 6 7 9 9 9 9 9 8 7 8 9 10 10 nan
nan 7 7 6 6 5 5 5 5 5 6 6 6 6 6 6 6 7 8 8 8 8 7 7 6 7 9 10 10 9 9 9 9 9 9 8 8 7 7 8 8 9 10 10 11 11 12 12 12 12 12 12 11 11 11 12 11 10 9 7 7 6 6 7 10 12 12 11 10 9 8 8 8 9 9 7 6 5 5 6 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 10 12 14 14 14 14 13 12 11 10 10 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 7 7 8 8 9 9 10 10 10 9 9 9 8 8 8 8 8 9 10 10 9 9 8 8 9 9 8 7 7 7 8 9 9 9 8 7 7 7 8 9 9 nan
nan 8 8 7 7 7 6 6 6 7 7 8 8 8 8 8 8 9 9 10 10 9 9 8 7 9 9 10 9 9 9 9 9 9 9 9 8 7 7 7 8 8 10 11 11 11 12 12 12 12 11 11 10 9 9 9 7 7 6 6 6 5 5 7 9 10 10 9 8 6 6 6 7 7 6 5 4 4 4 6 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 12 14 15 14 14 13 11 10 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 5 5 6 6 8 8 8 7 7 8 8 9 8 8 8 8 8 9 10 10 10 10 9 9 8 8 7 7 8 9 9 10 9 9 9 9 9 10 10 8 6 5 6 7 8 9 9 8 7 6 7 7 8 9 nan
nan 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 9 8 8 9 10 10 10 10 9 9 9 9 9 9 8 7 7 7 7 8 10 11 11 11 11 11 10 10 10 10 9 9 9 8 7 6 5 5 6 7 7 8 9 10 9 8 6 5 4 4 5 6 5 5 5 5 6 7 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 10 12 13 13 13 12 11 10 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 8 8 7 7 7 6 6 6 6 6 8 9 10 9 7 7 8 9 10 10 9 8 7 7 8 9 10 9 9 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 10 8 6 5 4 5 7 8 8 8 7 7 7 7 8 9 9 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 9 8 8 9 9 10 10 11 11 10 10 9 9 9 9 8 7 7 7 7 8 9 9 10 10 10 9 9 8 8 9 9 10 9 8 8 7 7 7 8 9 10 10 9 8 7 7 6 5 5 6 6 6 6 6 6 7 7 7 8 7 7 7 7 7 7 7 7 7 8 8 9 9 10 11 12 13 13 11 10 10 9 9 8 8 8 8 8 9 10 10 10 9 8 7 7 6 7 7 8 8 8 7 7 8 8 8 8 7 7 6 6 7 8 9 10 11 10 8 7 8 9 10 10 10 9 7 7 8 9 9 9 8 8 7 7 7 8 8 9 9 9 9 9 9 8 9 9 8 6 5 4 4 6 7 8 8 7 6 6 7 8 9 9 10 nan
nan 10 10 10 10 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 8 9 9 9 8 8 8 8 9 9 9 9 7 6 5 6 6 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 11 12 13 12 10 9 9 9 10 10 10 9 9 9 9 10 10 10 9 8 7 6 6 7 7 8 8 9 8 8 8 8 9 9 8 7 7 7 8 9 10 11 11 10 9 8 9 10 10 10 9 9 8 7 7 8 9 8 8 7 8 8 8 8 9 9 9 9 9 9 8 8 8 7 6 6 5 5 6 7 8 7 6 5 5 5 6 7 8 8 9 nan
nan 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 10 10 11 11 12 12 12 11 10 10 9 8 8 7 7 7 6 7 6 6 7 7 7 7 7 7 7 7 7 8 8 9 8 8 8 8 8 8 7 7 6 5 5 6 8 9 9 8 7 6 6 7 7 7 7 7 7 8 8 7 7 7 7 7 7 8 9 10 11 11 10 11 12 13 11 9 9 9 9 9 9 9 9 8 8 8 8 9 8 8 7 6 6 7 7 8 8 9 10 9 9 8 8 9 9 8 7 7 8 9 10 10 11 11 10 9 9 10 10 10 9 9 9 8 7 6 7 7 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 6 6 7 7 8 8 7 5 4 4 5 5 6 7 7 8 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 10 11 11 11 11 11 11 11 10 9 9 8 8 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 9 9 9 8 8 7 7 7 6 6 6 7 7 8 9 9 8 6 5 5 6 7 7 7 7 8 9 9 8 8 7 7 7 7 8 9 10 11 11 11 11 12 12 12 10 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 10 10 10 9 8 8 9 9 9 8 8 8 8 9 10 10 10 8 8 8 10 10 10 9 9 8 8 7 6 6 6 6 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 8 7 6 5 5 5 5 5 6 7 7 7 nan
nan 9 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 9 9 8 7 7 6 6 5 5 5 5 6 6 6 6 7 7 7 7 7 8 9 9 9 8 7 7 7 7 7 8 8 8 8 8 8 8 7 6 5 5 6 7 7 8 8 8 9 9 8 8 8 8 7 8 9 10 11 11 12 12 12 12 12 10 9 9 8 9 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 9 9 8 7 8 9 9 8 7 7 7 8 9 10 9 8 7 8 9 10 9 9 9 9 9 8 7 6 6 6 7 7 8 8 8 8 9 9 9 9 8 8 8 9 9 9 8 8 7 7 7 7 7 6 6 6 6 6 6 7 8 8 8 nan
nan 8 8 7 7 7 7 8 8 9 9 10 10 9 9 8 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 9 8 8 7 7 6 6 5 5 5 6 6 6 6 6 6 7 7 7 7 8 8 8 8 7 7 7 7 7 8 8 9 9 8 8 8 7 7 6 6 6 6 8 9 9 9 8 8 8 8 9 10 9 8 9 11 12 12 11 11 12 12 11 10 10 9 9 9 9 9 8 7 7 7 7 6 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 8 7 7 7 8 9 8 7 6 6 7 9 9 9 8 8 8 9 10 10 10 10 10 10 9 9 8 8 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 6 6 6 7 6 5 6 7 7 7 8 9 9 8 8 nan
nan 7 7 7 7 7 7 7 7 8 9 9 9 9 9 8 8 9 9 10 10 9 9 10 10 10 11 11 11 11 11 10 10 9 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 7 7 6 6 7 7 7 8 8 9 8 7 7 7 7 7 7 7 8 9 10 10 9 8 7 7 8 10 11 11 10 11 12 13 12 11 10 10 10 9 9 9 9 10 10 9 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 7 6 7 8 9 8 8 7 7 8 9 10 9 9 8 9 9 10 10 10 11 12 11 11 10 9 9 8 6 6 7 8 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 7 6 6 7 7 8 8 9 10 9 8 7 nan
nan 7 7 7 7 6 6 6 6 7 8 9 9 9 8 8 9 9 9 9 10 9 9 9 10 10 11 11 12 12 11 11 10 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 7 7 7 6 6 6 6 6 6 7 8 8 7 7 7 8 8 9 9 9 10 10 10 10 9 8 8 8 9 10 12 12 12 12 13 12 12 10 9 9 8 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 9 9 10 10 9 8 8 8 9 10 9 7 7 7 8 9 8 7 7 8 9 10 10 9 9 9 8 8 9 9 10 12 12 12 11 10 9 9 7 5 5 6 8 9 8 8 8 8 7 7 8 8 8 7 7 8 7 7 7 7 7 8 8 9 9 9 10 10 9 9 8 7 nan
nan 7 7 7 7 7 7 6 6 6 7 8 9 9 8 8 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 5 5 5 6 7 7 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 11 11 11 10 9 8 8 8 9 9 9 8 8 7 7 7 7 7 7 8 8 8 9 9 9 10 10 10 10 9 8 8 8 9 9 8 7 7 8 9 8 8 7 7 8 10 10 10 9 9 9 9 9 9 8 9 11 11 11 10 9 9 7 5 4 4 6 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 10 11 11 11 11 11 10 10 9 9 8 7 nan
nan 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 12 11 11 10 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 7 7 6 6 5 5 5 6 7 8 9 10 10 10 10 10 11 11 11 11 10 9 10 10 11 11 11 11 10 10 11 11 11 11 10 10 10 11 11 10 9 8 8 9 9 9 8 7 7 7 7 7 7 7 7 7 8 9 9 10 11 10 10 9 9 9 9 8 9 9 8 7 6 8 9 10 8 7 7 8 9 9 9 9 8 9 9 10 10 9 8 8 9 9 9 8 8 8 7 5 5 5 6 7 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 10 10 9 8 8 7 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 12 12 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 6 6 6 6 6 7 8 9 11 12 12 12 12 12 12 12 12 11 10 10 9 10 11 11 12 11 11 11 11 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 9 8 7 7 7 7 7 7 7 7 7 8 8 9 10 11 10 10 9 9 9 9 10 10 9 8 7 6 8 10 10 9 8 8 9 9 9 9 8 7 7 8 8 9 8 8 8 8 7 7 7 8 8 7 6 6 6 7 8 8 9 10 10 11 11 11 11 11 11 11 10 10 10 11 12 12 11 11 10 10 10 9 9 9 8 8 8 8 nan
nan 6 6 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 10 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 8 8 8 7 6 6 6 6 6 7 7 7 8 9 10 11 13 13 13 13 13 13 12 12 11 11 10 10 10 11 11 11 12 12 12 11 11 10 10 10 9 9 9 10 10 9 10 10 11 12 11 9 8 8 8 7 7 7 7 7 7 7 8 8 8 9 10 10 10 10 10 9 9 10 10 10 9 7 6 6 8 9 9 9 8 9 10 10 9 8 7 6 6 6 7 7 7 8 8 7 6 6 8 9 9 8 7 7 7 8 9 9 10 11 12 12 12 12 12 12 12 11 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 10 10 10 9 9 8 9 9 9 10 10 10 10 11 11 10 10 10 10 10 9 9 9 9 8 8 7 6 6 6 6 6 7 8 9 10 10 10 10 12 13 13 13 13 12 12 12 12 11 11 10 11 11 12 12 11 11 11 12 11 11 10 9 9 9 8 8 8 9 9 9 9 10 11 11 9 8 7 7 7 7 7 7 6 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 7 5 5 7 8 8 8 9 10 11 10 9 8 7 6 6 6 6 7 7 8 7 5 5 6 8 10 10 10 10 9 9 9 10 11 11 12 12 12 12 11 11 11 10 10 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 9 9 nan
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nan 13 13 12 12 12 11 10 9 9 8 8 8 8 8 9 9 9 9 9 8 7 7 7 8 8 9 10 11 12 14 14 14 13 12 12 12 12 13 13 13 12 11 10 10 11 11 11 11 11 11 11 10 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 11 11 10 10 9 8 8 8 9 9 9 10 10 11 11 11 12 12 12 11 10 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 8 7 7 8 8 9 9 9 10 9 8 8 8 10 13 14 14 13 11 10 7 4 3 5 9 13 15 14 12 11 10 9 9 9 10 11 12 12 12 11 11 12 13 13 12 11 10 10 11 11 12 13 12 11 10 9 8 7 7 7 8 9 10 11 11 12 12 13 14 13 13 12 12 12 12 12 12 12 12 12 13 12 nan
nan 12 12 12 11 10 9 9 8 8 8 8 8 9 10 10 10 10 9 7 6 5 5 6 7 9 10 12 13 13 13 12 10 8 7 6 6 8 9 10 10 9 7 7 8 10 11 12 12 12 11 10 10 9 9 9 9 10 10 11 11 11 12 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 8 7 7 7 8 8 9 8 9 9 10 9 8 8 9 11 12 13 13 12 10 7 4 3 5 9 12 14 13 12 12 11 11 10 10 11 11 12 12 11 11 12 13 14 13 12 11 12 13 14 14 15 15 14 12 10 8 7 6 6 7 9 11 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 13 12 12 11 10 9 8 8 8 8 9 10 11 11 11 10 8 6 5 3 3 5 6 8 10 12 14 15 14 12 9 7 5 4 4 6 7 8 8 7 6 5 6 7 9 11 12 12 12 11 10 10 9 9 9 9 10 10 11 11 11 12 12 12 11 11 10 9 9 8 8 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 11 10 9 8 8 8 8 9 9 9 8 8 8 9 9 8 8 7 7 8 8 8 8 8 8 8 9 10 9 9 9 10 11 12 12 11 9 6 4 3 5 8 12 14 13 13 13 12 11 10 10 10 11 11 11 11 11 12 13 12 12 11 11 12 13 15 16 17 18 17 15 13 10 9 8 9 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 11 nan
nan 13 12 12 11 10 9 8 8 9 10 11 11 10 9 8 6 5 3 2 3 4 6 7 9 11 13 15 14 12 9 7 5 5 5 6 8 9 9 8 7 5 5 5 7 10 11 12 12 12 11 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 9 9 8 8 9 9 9 9 10 10 10 10 10 11 11 11 12 12 12 11 10 8 7 7 7 8 8 9 9 8 7 7 7 7 8 8 7 7 8 8 8 8 7 7 7 8 9 10 9 9 10 10 11 10 9 7 6 4 3 5 8 11 13 13 13 13 13 11 11 10 10 11 11 11 11 11 11 11 11 11 10 11 12 13 14 16 18 19 19 18 15 13 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 nan
nan 12 11 11 10 9 9 9 9 9 10 10 9 7 5 4 3 2 2 3 4 5 7 8 10 11 13 14 13 11 8 6 6 7 8 8 9 9 8 7 5 5 5 7 9 11 12 13 12 12 11 10 9 9 9 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 12 12 12 11 10 8 8 7 7 7 8 9 9 8 7 6 5 7 8 8 8 7 7 7 7 7 7 6 7 8 9 10 9 9 9 9 9 9 8 7 5 4 4 5 7 9 11 13 13 13 12 11 10 10 10 12 12 12 11 10 10 10 10 10 10 11 12 14 15 16 17 17 16 14 13 12 11 11 10 10 10 10 10 11 12 13 13 13 13 13 13 12 11 11 10 9 9 9 8 8 8 9 nan
nan 10 10 9 8 8 8 8 9 9 8 7 6 4 4 3 3 4 4 5 6 7 8 9 10 11 12 14 14 12 10 8 9 9 9 9 7 6 5 3 3 4 6 8 11 13 14 13 12 11 10 10 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 10 10 11 11 11 11 11 11 10 9 8 8 8 8 8 8 9 8 7 7 6 7 8 9 9 9 8 8 8 8 7 6 7 8 9 10 9 9 9 8 8 7 7 7 6 5 5 5 6 8 11 13 14 14 13 11 11 11 11 12 12 11 11 10 10 10 10 10 11 12 13 13 14 14 13 12 11 10 10 9 9 9 9 9 9 9 11 13 14 15 16 16 15 14 13 13 12 10 9 8 7 7 6 6 7 9 nan
nan 9 8 8 7 7 7 8 8 7 7 6 5 5 5 5 6 6 6 7 7 8 8 9 10 11 13 15 16 15 12 11 10 10 9 8 7 6 4 3 3 5 8 11 14 15 15 14 12 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 10 10 10 10 10 10 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 10 10 10 9 9 7 7 7 8 9 10 10 9 9 8 7 7 7 7 6 5 5 5 5 7 11 15 16 16 14 12 12 12 12 11 10 10 10 10 10 10 10 11 11 12 12 12 11 11 10 9 9 8 7 7 7 8 8 9 9 11 13 15 17 18 19 19 18 16 15 14 12 10 8 6 5 4 4 5 9 12 nan
nan 8 8 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 9 9 10 11 13 15 15 14 12 11 10 9 8 7 8 9 8 7 8 9 12 14 16 16 15 13 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 8 7 7 7 8 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 10 9 8 7 7 8 9 10 10 10 9 8 7 8 8 8 7 5 5 4 4 8 13 16 17 16 14 13 13 12 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 9 8 7 6 6 7 8 9 10 11 12 14 16 17 19 21 22 21 20 18 15 12 8 5 4 3 4 5 9 14 15 nan
nan 8 8 7 7 7 7 6 6 6 7 7 8 8 7 7 7 7 7 8 8 9 9 10 10 11 12 14 13 12 11 10 9 7 7 7 10 12 12 12 12 13 15 16 16 15 13 12 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 10 10 10 10 10 10 11 12 12 11 10 9 8 8 8 9 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 9 9 10 10 11 10 10 10 10 10 10 11 11 10 9 8 8 8 9 11 11 9 8 8 9 9 9 8 6 5 4 4 5 9 13 16 16 13 11 11 11 9 9 9 9 10 9 10 10 10 11 11 11 11 11 11 11 10 10 10 8 6 5 6 7 8 9 11 12 13 14 15 15 17 19 22 22 22 19 14 10 6 4 3 3 6 10 14 17 17 nan
nan 7 7 7 7 7 6 6 6 7 7 8 8 8 7 7 8 8 9 9 9 9 9 10 10 11 12 13 13 12 11 10 8 7 7 8 10 10 11 12 13 15 16 16 15 13 12 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 9 10 11 12 12 11 10 9 7 7 8 8 9 10 10 10 10 10 10 10 9 9 8 8 7 8 8 9 10 10 11 11 10 10 10 10 10 11 11 11 10 10 9 8 8 10 12 11 9 8 9 10 11 10 7 5 4 3 4 7 10 12 13 13 10 8 8 7 7 9 11 11 11 10 10 11 11 11 11 12 12 11 11 10 10 10 9 7 5 5 5 7 8 10 11 12 12 12 12 12 14 18 20 22 21 16 10 6 4 4 5 7 10 13 15 16 16 nan
nan 6 6 6 6 7 7 7 7 7 7 8 8 7 8 8 9 10 11 10 10 10 9 10 10 11 12 13 14 14 13 11 10 9 9 9 9 8 9 10 12 14 15 14 13 12 11 11 10 10 10 9 9 9 9 8 8 9 9 10 10 10 10 11 11 12 11 11 10 9 10 11 11 12 11 9 8 7 7 8 8 9 9 10 10 10 10 10 10 10 9 8 7 7 7 8 9 10 10 11 10 10 10 10 10 10 11 11 11 11 10 10 9 9 10 11 11 10 8 9 11 11 10 6 3 2 3 6 9 11 12 12 10 8 6 5 5 8 13 15 14 13 12 12 12 12 12 12 12 12 11 10 10 11 10 8 5 3 3 4 6 8 10 11 11 11 10 10 10 13 16 19 21 18 11 5 3 2 5 8 11 12 14 16 16 16 nan
nan 4 4 5 6 7 7 8 8 8 8 8 8 9 9 11 12 12 13 13 12 11 11 10 10 10 11 12 13 13 13 12 11 10 9 8 8 8 9 10 13 14 14 13 13 12 11 11 11 10 10 9 8 8 8 8 8 9 9 10 10 10 10 11 11 11 11 11 10 10 11 11 11 11 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 8 9 10 10 10 10 10 10 9 9 9 10 11 12 12 11 11 10 9 9 10 11 10 9 8 9 10 10 8 4 1 2 4 8 10 12 12 11 10 8 6 6 7 13 17 17 15 14 14 15 14 13 13 12 12 11 10 10 10 9 8 5 2 0 1 3 7 9 10 10 10 10 10 9 10 13 15 16 16 12 6 3 2 4 7 9 11 12 15 17 18 18 nan
nan 4 4 4 5 7 8 8 9 9 10 10 11 11 12 13 14 15 15 15 15 14 13 12 12 12 13 13 13 12 12 10 9 8 7 7 7 8 10 12 14 14 13 13 12 11 11 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 12 11 11 10 9 8 8 8 8 8 8 9 9 9 9 9 8 8 9 10 10 9 8 7 8 9 10 10 10 10 9 9 9 9 8 9 10 11 12 12 11 10 9 9 10 10 10 10 9 9 9 8 5 2 1 3 7 10 12 12 11 11 10 9 8 7 11 16 17 16 15 14 15 15 14 13 12 12 11 10 9 7 6 5 3 -0 -2 -2 1 6 9 10 11 10 10 10 10 11 12 13 12 11 8 4 2 2 4 7 9 10 11 13 16 18 18 16 nan
nan 4 4 5 6 7 8 9 10 11 12 13 13 13 14 14 15 15 15 15 15 15 14 14 15 15 15 15 14 12 10 9 8 7 7 7 8 10 12 14 15 15 14 13 12 11 11 10 10 10 9 9 9 9 10 10 10 10 10 11 10 10 10 10 10 10 11 11 12 12 12 12 11 9 8 8 7 7 8 8 8 9 9 10 9 9 8 9 10 11 11 10 9 8 9 10 10 10 9 9 8 8 8 8 7 8 10 11 11 11 10 9 9 10 10 11 11 10 10 9 8 6 4 3 4 7 10 12 12 12 11 10 9 8 8 9 13 15 15 14 15 15 15 14 12 12 11 11 10 8 5 3 2 1 -1 -1 -0 2 6 10 11 11 11 11 11 12 14 15 16 15 12 9 5 3 3 4 7 9 10 11 13 16 18 18 16 13 nan
nan 5 6 7 8 9 10 11 12 13 13 13 13 13 13 14 14 13 13 13 13 13 14 14 15 16 16 15 13 11 9 7 7 6 7 8 9 10 13 14 15 15 14 12 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 11 9 8 8 8 7 7 8 8 8 8 8 8 8 8 9 10 11 11 11 10 9 9 10 10 10 9 8 8 8 8 7 7 7 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 6 5 6 9 11 12 12 12 12 11 9 8 8 9 11 12 13 13 15 17 18 16 14 12 10 9 7 5 3 1 0 1 2 3 6 8 11 13 13 13 13 13 14 15 16 18 20 19 18 15 11 9 7 7 9 10 11 13 15 18 20 20 18 14 11 nan
nan 8 9 10 11 11 12 13 14 13 12 12 12 12 12 12 12 12 11 11 11 11 12 13 14 14 14 13 12 9 7 6 5 6 7 8 9 11 12 13 14 14 14 12 11 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 11 12 12 12 11 10 9 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 9 8 7 7 10 12 14 14 14 14 13 11 9 8 9 11 12 12 12 13 16 19 19 17 14 10 7 4 2 1 1 2 3 6 10 13 15 16 16 16 15 15 16 17 18 19 20 21 20 19 18 16 14 12 10 9 10 12 14 16 19 21 20 18 15 12 10 nan
nan 11 12 13 13 13 14 14 14 13 12 11 10 10 10 10 10 10 10 9 9 9 10 11 11 11 11 11 9 7 6 5 5 5 7 8 10 11 12 12 13 14 13 12 11 11 10 9 9 9 10 9 9 9 8 8 9 9 9 10 10 9 9 9 9 9 9 10 11 12 12 12 11 10 9 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 10 12 13 14 15 16 15 12 9 8 10 11 13 13 12 12 13 15 18 18 16 13 8 3 2 2 4 6 9 12 16 20 21 21 20 19 19 19 20 20 21 21 21 20 18 16 14 13 12 11 10 9 10 11 14 16 19 20 19 17 14 11 10 10 nan
nan 13 13 14 14 14 13 13 12 12 11 11 10 10 9 8 8 8 8 8 7 8 8 9 9 10 10 9 8 6 5 5 5 6 8 10 12 12 13 13 14 14 14 13 12 11 10 10 10 10 9 9 8 8 7 8 9 9 10 10 10 10 9 9 9 9 9 10 11 11 11 11 10 9 9 8 8 8 8 7 7 7 7 8 8 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 11 11 12 13 14 14 12 10 9 10 14 15 15 14 13 13 14 16 18 19 18 14 8 6 7 9 12 15 18 21 24 25 24 21 20 19 20 21 20 20 19 18 17 15 12 10 9 8 7 7 8 10 12 15 17 18 19 18 16 13 11 10 10 10 nan
nan 12 12 12 12 12 12 12 11 11 11 10 10 9 8 7 7 7 7 7 7 7 7 8 8 9 9 9 8 7 6 7 8 9 11 13 13 14 14 14 15 15 14 13 12 11 10 10 10 10 9 9 8 8 8 8 8 9 10 11 11 11 10 10 10 10 10 11 11 11 11 11 10 9 8 8 8 8 8 7 7 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 12 12 11 11 10 11 14 17 18 17 15 14 15 17 20 22 22 21 17 13 13 14 16 18 20 22 23 23 22 19 17 16 15 15 15 14 13 13 12 10 8 7 7 8 9 9 11 13 15 16 17 18 18 17 15 13 11 10 10 11 11 nan
nan 11 11 11 11 11 10 10 10 10 10 9 9 9 8 8 8 7 7 8 8 8 8 9 10 10 11 11 10 10 10 10 10 12 13 13 14 14 14 15 15 15 14 13 12 11 11 11 10 10 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 11 11 11 11 11 12 12 11 10 9 8 8 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 13 15 16 16 15 14 15 16 19 20 21 21 19 16 16 16 17 17 17 18 19 19 17 14 12 11 11 12 12 12 11 11 10 9 9 9 10 11 12 13 13 15 16 17 17 17 16 15 14 12 11 11 11 11 11 11 nan
nan 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 10 11 12 12 13 12 12 12 12 12 12 12 12 12 12 13 13 14 15 15 15 14 13 12 11 11 11 11 10 10 9 9 9 8 8 8 9 9 9 10 10 9 9 9 10 11 12 12 12 12 13 14 13 11 9 8 8 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 13 14 13 12 12 13 15 16 17 16 15 14 13 14 14 14 14 14 14 14 13 11 11 11 11 13 15 16 16 15 15 15 14 14 14 15 15 14 13 13 14 14 14 14 13 13 12 11 11 11 11 11 11 11 10 nan
nan 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 11 12 13 14 14 13 12 12 11 11 11 11 11 11 11 11 12 13 14 15 16 15 14 12 11 10 10 10 10 10 10 10 9 9 9 9 9 9 10 9 9 9 8 8 8 9 11 12 12 12 12 13 14 14 12 10 9 8 8 8 9 9 10 10 10 9 8 8 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 11 11 11 11 12 12 12 12 11 11 11 12 14 15 16 18 18 18 18 17 17 17 16 16 15 14 13 12 12 12 11 11 11 11 11 11 10 10 10 11 11 11 10 9 nan
nan 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 10 11 12 13 13 13 12 11 11 10 10 10 11 11 12 12 12 12 12 13 14 15 15 15 14 12 10 10 10 11 11 11 11 11 10 10 10 11 11 11 11 10 9 8 8 8 9 10 11 12 13 13 12 12 13 13 13 11 10 9 8 8 8 8 9 9 9 9 8 7 7 6 6 7 8 8 8 9 9 9 9 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 9 10 11 12 12 12 12 11 11 11 11 10 10 10 11 11 10 10 10 11 11 12 12 12 12 11 11 12 13 14 14 15 15 16 16 15 15 15 14 14 13 13 12 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 9 nan
nan 9 10 10 10 10 10 10 10 9 9 8 8 8 8 9 10 11 12 12 12 12 11 10 9 10 10 10 11 12 12 13 12 12 12 12 13 14 15 15 15 14 12 11 10 10 11 12 12 13 13 13 13 13 14 14 13 12 10 9 8 8 9 10 11 13 14 15 14 12 11 11 12 12 12 11 10 10 10 9 9 9 9 9 9 9 8 7 7 7 7 8 9 10 10 9 9 9 9 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 7 6 4 3 3 4 7 9 11 11 11 11 12 11 11 11 10 10 10 11 11 10 8 7 9 11 13 14 14 13 12 12 11 12 12 12 12 12 12 13 13 13 13 13 12 12 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 nan
nan 9 9 10 10 10 10 10 9 8 8 7 8 8 9 10 11 11 11 11 11 10 10 9 9 10 10 11 11 12 12 13 13 13 13 13 13 14 14 14 15 14 12 11 10 10 10 11 12 13 13 14 15 15 16 15 14 12 11 9 9 9 9 9 11 12 14 15 13 11 10 9 10 10 10 10 11 11 12 11 10 9 9 9 9 9 9 9 8 7 8 9 10 10 10 10 10 9 10 10 10 10 9 9 9 8 8 9 9 9 9 9 9 8 8 8 7 7 6 4 2 1 0 1 5 8 10 11 11 10 10 10 10 9 8 7 8 10 10 9 7 4 5 8 13 16 17 15 13 12 12 11 11 11 10 11 11 11 11 12 12 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 8 9 9 10 9 9 8 7 7 7 7 8 9 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 13 13 13 13 13 13 14 15 15 14 13 12 11 10 10 10 11 11 12 12 13 13 14 14 14 13 12 11 11 10 9 8 8 9 10 11 12 11 9 8 8 8 8 8 9 10 12 12 13 12 11 10 9 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 7 7 7 6 5 4 2 -0 -2 -2 0 4 8 11 13 14 13 12 11 10 8 5 4 4 6 8 8 7 3 2 6 11 17 20 18 15 13 12 12 11 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 nan
nan 8 9 9 9 8 8 7 7 7 8 9 11 12 12 12 11 10 10 10 11 11 10 10 10 10 11 11 11 11 12 12 13 13 13 13 13 14 15 15 14 13 12 11 10 10 10 11 11 11 11 11 12 12 13 12 12 12 11 11 10 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 9 11 12 13 12 12 12 12 12 10 9 9 10 10 10 10 10 9 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 10 9 8 6 5 4 3 2 -0 -2 -3 -3 -0 4 8 11 13 14 16 17 16 15 13 10 7 5 5 7 9 8 6 4 7 12 18 22 21 17 15 13 12 12 11 10 9 10 10 10 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 12 11 11 11 10 10 10 10 nan
nan 9 9 9 9 8 7 7 8 10 11 13 14 14 12 11 10 10 10 10 11 10 10 10 10 10 10 10 10 11 11 12 12 13 13 13 14 14 15 14 14 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 10 10 10 9 9 9 9 8 8 8 8 8 7 7 7 8 9 10 10 10 12 13 15 14 11 10 9 9 10 11 10 9 8 7 7 7 7 6 6 5 5 5 5 6 6 7 8 9 10 10 8 7 5 3 1 -0 -1 -2 -1 1 4 8 10 12 13 13 15 17 18 18 17 15 13 11 11 12 12 11 10 12 17 22 25 24 19 16 13 12 12 11 11 10 10 10 10 10 11 11 11 11 10 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 11 12 11 11 11 10 10 10 11 nan
nan 8 9 8 8 8 8 9 11 13 15 16 15 14 12 10 10 10 10 10 11 10 10 10 10 10 10 10 10 11 11 11 12 12 12 13 13 13 14 13 13 12 12 12 12 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 8 8 7 7 8 7 7 8 10 11 13 13 12 11 10 9 10 10 10 9 8 7 6 6 7 7 7 7 7 7 6 6 5 5 6 8 10 10 10 9 8 6 5 4 4 4 4 6 8 9 10 11 12 13 15 17 18 18 18 16 15 14 13 13 14 14 15 18 23 26 25 21 16 14 12 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 12 12 11 11 11 11 11 11 11 12 12 11 11 11 11 10 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
1414 1413 1344 1223 1088 988 893 855 925 1130 1463 1837 2079 2164 2141 2093 2085 2133 2264 2389 2511 2604 2663 2693 2707 2718 2710 2713 2699 2689 2698 2720 2737 2771 2804 2810 2809 2810 2796 2745 2682 2626 2594 2577 2551 2500 2426 2339 2247 2211 2200 2195 2198 2202 2171 2073 1789 1359 924 559 298 139 43 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1399 1427 1375 1250 1108 999 913 905 1018 1266 1621 1990 2195 2231 2170 2115 2124 2195 2304 2432 2540 2615 2659 2680 2685 2685 2680 2680 2664 2661 2675 2694 2709 2747 2803 2827 2845 2844 2812 2758 2698 2642 2616 2613 2600 2548 2456 2357 2256 2220 2203 2201 2209 2213 2171 1994 1591 1103 690 372 157 53 12 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 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
1136 1233 1274 1221 1112 1004 937 967 1127 1417 1785 2129 2281 2237 2160 2127 2159 2243 2363 2498 2603 2662 2682 2677 2665 2661 2670 2666 2641 2635 2651 2675 2710 2790 2890 2935 2933 2900 2852 2801 2748 2706 2677 2647 2606 2539 2445 2353 2240 2209 2195 2197 2207 2192 2093 1802 1318 840 478 230 78 15 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 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
662 853 1038 1114 1086 1003 976 1064 1282 1604 1966 2255 2325 2257 2187 2168 2212 2306 2432 2567 2662 2709 2702 2677 2664 2666 2682 2673 2637 2632 2700 2830 2967 3063 3107 3071 2997 2938 2904 2873 2838 2804 2754 2681 2610 2525 2415 2312 2212 2199 2213 2220 2180 2053 1808 1420 929 541 274 110 27 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 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
299 544 825 1011 1065 1040 1054 1199 1478 1823 2135 2317 2307 2225 2168 2176 2245 2352 2474 2600 2682 2724 2727 2722 2716 2696 2694 2701 2676 2674 2803 3019 3155 3117 3099 3040 2973 2934 2927 2934 2938 2903 2825 2728 2632 2518 2387 2293 2242 2230 2198 2094 1880 1551 1155 839 491 256 110 33 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
147 393 711 965 1079 1104 1178 1390 1719 2045 2257 2312 2244 2158 2130 2175 2271 2388 2505 2606 2687 2713 2732 2743 2732 2703 2696 2748 2787 2740 2861 3069 3119 3030 3026 2969 2931 2945 2989 3030 3052 3009 2882 2778 2665 2540 2430 2362 2271 2091 1826 1501 1137 756 414 276 149 66 23 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 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 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
118 349 696 1016 1195 1265 1404 1661 1976 2219 2306 2253 2159 2108 2130 2214 2308 2415 2522 2527 2637 2646 2683 2721 2726 2705 2713 2801 2893 2908 2967 3039 3036 3015 3031 2985 2960 2986 3047 3122 3192 3090 2909 2809 2728 2624 2475 2249 1864 1431 1009 667 405 204 64 23 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
158 403 813 1204 1420 1511 1702 1940 2140 2245 2240 2159 2083 2065 2109 2223 2289 2363 2474 2438 2535 2563 2603 2649 2676 2685 2723 2837 2912 2955 2973 2975 2975 3000 3047 3063 3039 3014 2987 2997 3117 3060 2919 2856 2768 2516 2031 1388 922 560 302 148 66 24 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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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