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 8 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 7 8 8 9 10 10 9 9 8 7 7 7 7 7 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 11 13 14 13 11 10 9 9 8 7 7 6 6 6 5 5 4 4 4 4 4 5 6 6 7 7 7 7 7 7 6 6 6 5 5 5 6 7 10 12 13 14 14 13 12 11 8 7 6 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 7 7 7 8 8 8 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 nan
nan 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 10 12 13 15 13 11 9 9 8 7 7 6 6 6 6 5 4 4 3 3 4 4 5 5 6 6 7 7 7 7 7 6 6 6 5 5 5 5 6 8 10 12 14 15 15 14 12 10 8 6 5 5 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 7 7 7 7 7 8 8 8 8 7 7 6 6 7 7 7 7 7 8 7 7 7 7 7 6 6 7 7 6 6 6 7 8 8 8 8 8 8 7 nan
nan 8 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 7 7 8 9 8 8 8 8 8 7 7 7 8 8 9 10 13 16 15 12 10 9 8 8 7 6 6 6 6 5 5 4 4 4 4 4 4 4 5 6 6 7 7 7 7 7 7 6 6 6 6 5 5 6 7 9 11 13 15 16 16 14 12 10 8 6 5 5 4 4 4 4 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 8 9 9 8 8 8 7 7 nan
nan 7 7 7 8 8 8 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 7 7 7 7 7 8 8 8 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 9 12 15 16 14 12 10 9 8 7 7 7 7 6 6 5 5 4 4 4 4 4 4 4 4 5 6 6 7 7 7 7 7 7 6 6 6 6 5 6 7 8 10 13 15 17 17 15 14 12 9 7 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 6 6 6 6 6 6 6 7 8 10 10 9 8 8 7 7 7 nan
nan 6 6 7 8 8 8 7 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 6 6 6 6 7 8 8 8 7 7 8 8 7 8 8 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 13 15 15 14 12 10 8 8 7 7 7 7 7 6 5 5 4 4 4 4 4 3 4 4 5 6 6 7 7 7 7 7 7 7 7 7 6 6 6 7 8 10 12 15 16 17 16 16 14 12 10 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 6 6 6 6 5 5 6 6 7 9 10 11 10 9 8 7 7 7 7 nan
nan 6 6 7 8 8 8 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 8 8 7 7 6 5 6 6 6 6 6 6 7 7 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 8 7 7 6 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 10 12 15 16 15 12 10 8 8 7 8 8 8 7 6 5 5 4 4 4 4 3 3 4 4 5 6 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 9 11 13 15 17 17 17 17 16 14 12 9 8 7 6 6 5 5 5 5 5 5 4 5 5 6 6 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 6 6 6 5 5 5 6 7 8 10 10 10 9 8 7 7 6 6 7 nan
nan 6 6 6 7 8 8 7 7 7 8 8 8 8 8 8 8 7 6 6 7 8 8 8 8 7 7 7 8 8 8 7 7 8 8 7 6 6 6 6 6 6 7 7 8 8 8 7 7 7 7 7 7 6 7 7 7 8 8 8 9 10 9 8 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 9 9 8 9 12 15 16 15 13 11 9 8 8 8 9 9 7 6 5 5 4 4 4 4 4 4 4 4 5 6 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 8 9 12 14 16 18 20 21 20 18 15 12 10 8 7 6 6 6 5 5 4 4 4 5 5 6 7 7 7 7 7 7 7 8 8 8 7 7 6 6 6 6 6 5 5 5 5 6 7 9 9 9 8 7 7 6 6 6 6 7 nan
nan 7 6 6 6 7 8 8 7 7 7 7 7 7 8 9 9 8 6 5 6 7 8 9 9 8 7 6 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 6 6 7 7 8 8 8 8 9 10 9 9 8 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 9 8 8 8 9 11 14 16 16 14 12 10 9 9 9 9 8 7 6 5 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 9 11 14 18 21 23 23 21 17 14 11 9 7 6 6 5 5 4 4 4 5 5 6 6 7 7 7 7 7 7 8 8 7 7 7 6 6 6 6 5 5 5 5 5 6 7 8 9 8 7 7 6 6 5 5 6 7 nan
nan 8 7 7 6 7 8 8 8 8 7 7 7 7 7 8 9 9 8 6 6 7 8 9 9 8 7 6 6 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 8 7 6 6 7 7 8 8 7 7 7 7 7 8 8 9 8 8 8 8 9 11 13 15 15 15 14 13 12 10 9 9 8 7 6 5 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 6 6 7 7 7 7 6 6 6 6 8 11 16 20 23 23 21 18 15 12 9 8 7 6 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 6 7 8 8 8 7 6 6 5 5 6 6 6 nan
nan 9 8 7 7 7 8 8 9 8 7 7 7 7 7 8 9 9 9 8 7 7 8 9 9 9 8 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 8 6 6 6 7 8 8 7 7 7 7 7 8 8 9 8 8 8 8 8 9 10 12 13 15 17 18 16 14 11 10 9 8 7 6 6 5 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 5 5 5 6 7 7 7 7 6 5 5 5 6 9 14 18 21 22 21 19 16 13 11 9 7 6 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 6 6 7 7 7 6 6 6 5 6 6 6 6 nan
nan 8 8 8 7 7 8 8 8 8 8 8 8 7 7 7 8 9 10 9 8 7 8 8 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 10 9 7 7 6 7 7 8 8 7 7 7 7 8 8 9 8 9 9 9 8 8 8 9 10 12 16 19 19 18 15 13 11 10 9 8 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 5 5 6 6 6 7 7 6 5 4 4 5 8 12 15 18 20 20 20 18 15 12 10 8 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 6 6 6 6 7 7 7 6 6 6 6 6 7 7 6 6 nan
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nan 5 6 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 7 6 5 5 6 7 8 8 7 7 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 8 8 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 8 9 10 13 16 18 19 18 16 14 12 11 11 10 10 9 8 8 8 8 8 7 7 6 6 6 5 5 4 4 4 4 4 4 4 4 5 5 6 6 7 7 7 6 5 5 6 8 10 14 18 21 21 19 17 14 11 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 5 5 5 6 6 7 8 8 7 7 6 nan
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nan 6 5 5 6 7 6 6 6 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 7 7 6 7 7 7 7 6 6 7 8 8 9 10 11 11 9 8 6 5 5 5 6 7 7 7 7 8 9 10 9 8 8 7 6 5 6 7 7 7 7 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 10 11 11 11 13 15 18 18 17 14 13 12 12 12 12 12 12 12 11 11 10 9 9 9 8 8 7 6 5 5 5 5 5 5 5 4 4 4 4 5 5 6 7 8 8 8 7 6 6 8 12 16 20 22 21 19 16 12 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 8 7 6 6 nan
nan 7 5 5 5 6 6 6 6 6 6 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 9 11 12 13 13 12 10 7 6 5 5 6 6 7 8 8 8 9 10 10 9 8 7 6 4 3 3 4 5 5 5 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 10 10 11 10 9 8 8 9 10 11 11 11 10 12 14 16 16 14 13 12 11 11 12 12 13 13 12 12 11 11 10 10 9 9 8 8 7 7 7 7 7 6 6 6 5 5 5 5 5 5 6 7 8 9 9 8 7 6 8 12 16 20 22 22 20 16 12 9 8 7 7 7 7 6 6 5 5 6 6 6 6 6 6 5 5 6 7 7 8 7 6 6 6 6 6 7 7 8 7 7 6 nan
nan 7 6 5 5 6 7 7 6 6 6 6 7 7 8 8 8 8 8 9 10 10 10 10 9 9 9 9 9 9 8 8 9 9 10 10 12 13 14 13 11 8 7 6 6 7 8 8 9 9 10 10 10 9 9 9 8 6 5 4 3 3 3 2 3 4 5 6 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 10 11 12 11 11 10 9 9 9 10 11 11 10 9 10 11 14 15 14 13 12 11 10 11 11 11 11 12 12 11 11 10 10 10 10 10 9 9 9 9 9 9 9 8 8 7 7 6 6 6 5 5 5 6 8 9 10 9 7 6 8 12 16 20 23 22 19 15 12 9 8 7 7 7 7 6 5 5 5 6 6 6 6 6 5 6 6 7 7 8 7 7 6 6 6 6 7 8 8 8 7 6 nan
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nan 7 6 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 8 9 11 12 12 12 11 10 10 9 9 8 7 7 7 8 8 9 9 9 9 8 8 7 8 8 8 9 9 9 9 9 9 8 8 9 9 9 8 8 8 8 7 7 6 6 7 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 8 9 10 11 12 11 10 9 9 8 8 8 8 8 8 8 9 8 8 7 8 10 12 13 13 13 11 11 10 10 10 9 9 9 9 9 9 10 10 11 12 13 13 14 14 14 13 13 12 11 10 10 10 10 9 8 7 6 5 7 9 10 11 9 7 6 9 13 18 22 23 21 17 14 11 9 9 8 7 7 7 6 6 6 6 6 6 6 5 6 6 7 7 7 7 7 6 6 6 7 7 7 7 7 7 6 nan
nan 7 7 6 5 5 6 7 7 7 7 8 8 8 7 6 6 7 8 9 9 10 10 10 10 9 8 8 8 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 6 6 6 8 9 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 10 11 12 11 9 8 7 7 7 7 7 7 7 7 8 8 7 6 6 7 9 11 12 13 12 11 12 12 13 13 11 10 9 10 10 10 10 11 11 12 13 14 14 15 15 14 14 13 13 12 12 12 12 11 10 9 7 6 6 7 9 11 11 9 7 7 10 15 21 24 23 20 17 13 11 9 8 8 8 7 7 6 7 7 6 6 5 5 5 6 6 7 7 7 7 7 7 6 7 7 7 7 7 6 6 nan
nan 8 8 7 6 6 7 7 7 7 8 9 9 9 7 6 6 6 7 7 7 7 8 8 9 9 8 8 8 7 8 8 8 7 7 7 6 6 7 7 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 8 9 10 11 11 11 10 9 9 9 8 8 8 8 8 9 9 10 10 11 11 11 9 8 7 6 6 6 7 7 8 8 7 8 8 7 6 7 9 10 11 12 12 11 11 12 13 15 16 14 12 11 11 11 11 11 11 11 12 13 13 14 14 15 15 15 14 14 13 13 13 13 13 12 11 9 8 7 7 9 11 11 10 8 7 9 14 20 24 24 23 19 15 13 11 10 9 8 8 7 7 7 7 7 6 6 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 nan
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nan 10 9 8 7 7 7 7 7 7 8 9 9 8 7 7 7 7 7 7 7 8 9 9 8 7 7 7 8 8 7 7 8 8 8 8 7 7 6 6 6 7 8 7 7 7 8 9 10 9 9 8 7 7 7 7 8 8 8 8 9 9 9 9 10 10 9 9 8 9 9 9 9 9 9 9 9 10 11 11 10 9 8 7 7 7 6 7 8 9 9 9 8 7 7 7 7 8 9 11 11 12 12 12 12 11 10 9 10 11 12 12 11 11 11 11 12 12 11 10 10 11 12 13 14 14 14 14 14 13 13 13 13 14 14 13 13 11 10 9 8 8 10 11 12 11 10 12 16 19 23 25 24 22 19 16 13 12 11 10 9 8 8 7 7 7 7 6 6 6 6 6 7 6 6 7 7 7 7 7 7 6 6 6 6 6 nan
nan 10 9 8 8 9 9 10 9 9 9 9 9 8 7 8 8 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 6 7 7 8 8 8 8 9 10 10 9 8 6 6 6 7 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 12 12 11 9 7 7 7 7 7 7 8 10 11 10 9 8 8 7 7 7 8 9 10 10 10 11 11 11 11 10 9 10 10 10 10 9 9 9 10 10 10 10 10 10 11 12 12 13 13 13 13 12 12 12 12 13 13 13 13 13 12 11 9 9 9 10 11 12 11 11 13 16 19 22 24 24 22 20 17 14 13 12 10 9 8 8 8 7 7 6 6 6 6 6 7 7 6 7 7 7 7 7 7 7 6 6 6 6 6 nan
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nan 13 13 13 14 14 14 12 11 10 9 9 9 8 8 9 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 10 11 12 11 10 10 9 10 10 12 11 10 9 9 10 11 12 13 12 11 10 9 9 9 10 10 10 10 10 10 12 12 12 12 12 12 12 12 13 13 12 11 10 9 8 8 8 8 9 9 9 9 9 10 11 10 9 8 7 7 7 7 8 8 8 8 9 10 10 10 9 8 8 8 9 10 10 9 9 9 9 8 7 6 6 5 5 4 1 -3 -5 -4 2 8 11 12 13 13 14 14 14 15 15 15 15 15 13 12 11 12 12 12 9 4 -0 -2 -2 1 5 9 13 16 19 20 20 19 18 16 14 13 11 10 9 8 7 7 7 7 7 6 6 7 7 7 7 7 7 6 6 6 6 6 6 nan
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nan 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 8 9 9 9 9 8 8 10 12 13 13 12 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 11 12 13 13 12 12 11 9 8 8 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 6 5 5 6 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 nan
nan 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 12 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 7 8 10 12 13 13 11 11 10 11 11 11 10 10 10 9 9 10 11 11 11 12 13 14 14 14 14 13 12 10 9 8 8 9 9 9 9 9 9 9 8 8 9 9 9 10 10 9 9 8 8 8 8 8 9 9 8 8 8 8 9 9 10 10 10 9 9 8 7 6 6 6 7 7 7 7 7 7 7 8 9 9 9 8 8 8 9 9 9 10 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 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 10 10 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 8 8 7 7 7 8 10 11 12 11 10 10 10 10 11 11 11 10 10 10 10 10 11 12 12 12 13 15 15 15 14 13 11 10 9 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 10 8 7 7 7 7 6 7 7 8 8 7 8 8 8 8 7 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 nan
nan 9 10 10 10 10 10 10 11 11 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 10 10 10 10 10 10 10 10 9 9 8 8 9 9 10 10 10 10 11 11 12 12 11 11 10 10 10 10 9 9 8 8 7 7 7 8 9 10 11 11 10 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 12 13 14 14 13 12 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 8 8 9 9 9 9 10 10 10 10 10 9 9 9 10 11 11 11 9 8 8 7 6 5 5 7 9 9 9 9 9 8 7 7 8 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 8 8 8 nan
nan 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 11 11 10 10 9 8 7 7 7 7 8 9 9 10 10 10 10 9 9 8 8 8 9 9 9 9 10 11 11 12 11 11 10 10 10 11 11 11 11 10 10 10 10 9 9 8 7 7 8 8 8 8 8 8 8 8 9 9 8 8 7 8 8 8 8 8 8 9 10 11 11 11 10 10 9 9 10 11 11 10 9 8 7 7 5 5 5 6 8 10 10 10 10 9 8 7 9 10 11 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 9 9 8 nan
nan 10 10 10 10 9 10 10 10 10 10 11 11 11 11 11 10 11 11 11 11 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 9 9 9 9 9 10 10 11 11 12 12 12 12 11 11 10 9 8 7 6 5 6 7 8 9 10 10 10 10 9 8 8 8 8 8 9 9 9 8 9 10 12 12 12 12 11 10 10 9 8 8 9 9 10 10 10 9 8 8 7 7 8 8 8 8 8 8 7 8 8 8 8 8 8 9 9 10 9 9 9 9 10 11 12 12 12 12 11 10 10 10 10 9 8 7 7 7 6 6 7 7 7 8 9 10 10 10 9 9 10 11 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 9 9 9 nan
nan 10 10 10 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 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 10 10 10 11 11 12 12 12 11 11 11 10 8 7 6 6 7 8 9 9 10 10 10 10 9 8 8 8 8 9 9 9 9 8 9 10 11 12 13 12 12 11 9 8 7 7 8 9 9 10 10 9 8 7 7 8 9 9 9 8 8 8 7 7 7 7 8 9 10 10 11 11 11 11 10 10 9 10 11 12 13 14 13 12 10 10 9 9 8 7 7 7 8 8 8 8 7 7 8 9 10 10 10 10 11 11 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 9 9 nan
nan 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 10 9 8 9 10 11 12 12 11 11 11 11 10 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 12 11 10 9 8 8 8 8 9 10 10 9 9 8 7 8 8 8 8 8 7 7 7 6 6 7 7 9 10 11 12 13 13 12 12 10 9 9 9 10 12 13 12 11 10 10 9 9 9 8 8 8 8 9 9 9 9 8 8 9 9 10 10 11 11 10 10 10 10 10 11 11 11 11 11 10 11 11 11 12 12 11 11 11 11 11 11 10 10 10 9 9 nan
nan 11 11 11 12 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 10 10 11 12 13 12 11 11 11 11 12 13 13 13 13 13 14 14 12 11 10 9 9 9 9 9 9 10 11 11 11 11 11 11 11 12 12 11 10 9 9 8 9 9 9 10 9 9 8 8 8 8 8 8 7 7 7 7 7 7 8 9 11 12 14 14 14 13 12 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 8 8 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 10 9 9 9 10 10 10 10 10 11 11 10 10 10 10 10 10 10 9 9 9 8 nan
nan 11 11 12 12 12 12 11 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 11 11 12 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 12 14 14 13 12 10 10 10 10 11 11 12 12 13 14 15 15 14 12 11 10 9 9 9 10 11 12 12 12 11 11 10 11 11 12 12 12 11 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 10 11 12 13 14 14 13 12 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 10 11 11 11 10 10 10 10 10 10 9 9 10 10 9 9 9 9 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 8 7 7 nan
nan 11 11 12 13 13 13 12 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 12 13 14 13 11 10 10 10 9 9 9 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 9 9 10 10 11 12 13 13 11 10 9 8 8 7 8 8 8 9 9 11 13 14 15 14 13 12 11 10 10 11 12 12 12 12 12 11 11 11 11 12 12 12 12 11 10 9 9 9 9 10 9 9 9 9 9 9 10 10 10 10 9 9 10 11 12 12 12 12 11 11 10 9 9 9 9 10 10 10 9 9 9 10 10 9 7 7 8 9 9 9 9 10 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 9 9 8 8 9 9 9 9 9 10 11 11 10 9 9 8 7 6 6 6 6 6 nan
nan 10 11 12 13 13 14 13 13 12 11 11 10 10 10 9 9 9 9 9 9 9 9 10 11 13 14 14 12 10 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 8 8 7 7 7 7 7 6 6 7 8 9 11 12 13 13 13 13 13 12 12 12 11 11 12 13 13 12 12 12 12 12 12 12 12 12 11 10 10 10 10 9 9 9 10 10 10 10 11 11 11 11 11 11 12 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 10 9 7 6 7 8 9 9 9 10 11 11 11 11 11 10 9 9 8 9 9 10 10 10 10 10 9 9 8 8 9 9 9 9 9 9 8 6 6 5 5 5 4 5 5 5 6 nan
nan 10 10 11 12 13 13 13 13 13 13 12 12 11 11 10 9 9 8 9 9 9 10 11 13 15 15 13 11 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 8 7 6 7 7 7 7 7 7 7 7 6 6 6 6 7 8 9 9 10 11 11 12 13 13 13 12 12 12 12 12 12 13 13 12 12 12 12 13 13 12 12 11 11 11 10 10 10 11 11 11 11 12 12 13 13 12 12 11 10 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 11 12 11 10 8 7 7 8 8 9 9 10 11 11 11 11 11 10 9 8 8 8 9 9 10 10 10 10 9 9 9 8 9 9 9 9 9 7 4 3 3 4 4 4 5 5 6 6 7 nan
nan 10 10 11 11 12 12 12 12 12 12 13 13 12 11 11 10 9 9 9 10 10 11 13 15 16 15 13 11 10 9 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 8 7 6 5 5 6 6 7 7 7 8 8 8 7 7 6 6 6 7 7 7 7 7 8 9 10 11 12 13 13 12 11 11 11 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 13 13 13 13 12 12 12 12 12 11 9 8 8 9 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 12 11 10 9 8 8 8 8 9 10 11 11 11 11 11 11 10 8 8 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 8 4 2 3 4 5 6 6 6 6 7 8 8 nan
nan 10 10 10 10 10 10 10 10 11 12 12 13 13 12 12 11 11 11 11 11 11 12 15 17 16 14 12 11 10 9 9 9 8 7 7 7 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 8 8 8 7 7 6 7 7 8 7 7 7 9 9 9 9 8 7 7 7 6 6 7 6 6 6 7 7 8 9 11 12 12 11 11 11 11 11 11 11 12 12 13 13 13 12 12 13 12 12 13 13 14 14 14 13 12 11 10 10 10 10 9 9 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 9 9 8 8 9 10 11 11 12 12 12 11 9 8 7 7 8 9 10 10 11 10 10 9 9 9 9 9 7 4 2 2 3 5 7 7 7 8 8 8 9 9 nan
nan 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 12 12 12 12 12 13 15 17 17 16 13 11 10 10 10 10 10 9 7 6 6 8 9 9 9 8 7 7 6 6 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 10 10 9 8 7 8 9 9 10 9 9 8 7 7 6 6 6 6 6 6 6 7 7 8 9 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 14 13 13 12 10 9 8 9 9 9 9 9 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 10 9 8 8 8 9 10 11 12 12 12 11 10 9 7 7 7 8 9 11 11 11 10 10 9 9 8 5 2 1 1 3 6 7 8 8 9 9 9 9 9 10 nan
nan 10 10 9 9 9 10 10 10 10 10 10 11 12 12 12 12 12 12 12 12 14 17 19 18 15 12 11 10 10 10 9 9 9 7 6 5 7 8 8 8 7 7 6 7 7 8 9 10 10 9 9 9 9 9 10 10 9 9 8 8 8 8 9 10 12 13 12 9 8 7 7 8 10 10 10 9 8 7 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 9 10 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 12 13 13 12 11 10 10 10 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 11 12 11 10 9 8 8 9 9 11 12 12 12 12 11 9 7 7 7 8 9 10 11 11 11 10 10 9 7 3 1 2 3 6 8 9 9 9 9 9 10 10 10 10 nan
nan 10 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 11 11 11 13 16 19 20 18 15 12 11 10 9 9 8 8 7 6 5 4 5 6 7 7 7 7 7 8 9 10 11 11 11 11 11 10 10 10 10 10 10 9 8 8 8 8 9 11 12 14 14 12 9 7 6 7 9 10 10 10 9 8 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 12 12 11 11 11 11 11 10 10 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 9 11 12 12 11 9 8 7 8 9 10 12 12 12 12 12 10 9 8 7 8 9 10 10 11 11 11 10 9 7 4 4 6 7 8 8 9 9 9 9 10 10 10 10 11 nan
nan 10 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 10 10 11 13 16 19 19 17 15 12 11 10 9 8 7 7 6 5 4 3 4 5 7 8 8 8 9 10 11 12 12 12 12 12 11 11 11 11 11 11 10 9 8 8 8 8 9 10 12 13 13 12 11 9 8 8 9 10 10 10 10 9 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 8 9 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 9 9 10 10 9 9 9 8 8 9 9 9 9 8 8 9 11 12 11 9 8 7 7 8 10 11 11 12 12 12 11 10 8 7 8 9 9 10 11 11 11 11 10 8 8 8 9 8 7 7 8 8 9 9 10 10 10 11 11 nan
nan 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 10 10 11 12 14 17 17 16 13 11 10 9 8 7 6 6 6 5 5 4 4 6 9 10 11 10 10 11 13 13 13 13 13 12 12 11 11 11 11 10 9 9 9 8 8 8 9 10 10 11 11 11 11 10 10 10 10 10 9 9 9 9 8 8 8 7 7 7 8 8 8 8 9 9 8 8 8 7 7 7 7 7 8 8 9 9 10 10 10 10 11 11 11 11 10 9 9 9 10 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 9 8 7 7 7 8 10 10 9 8 7 7 8 10 10 11 12 13 12 12 11 9 8 8 8 9 11 11 12 11 11 9 9 9 9 7 5 4 5 6 8 9 9 10 10 11 11 11 nan
nan 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 11 12 13 16 16 14 12 10 9 8 8 7 6 6 6 6 6 5 5 7 9 11 11 11 11 12 13 13 13 13 12 12 12 12 12 11 11 10 10 10 9 9 9 8 8 9 9 9 9 9 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 7 8 8 9 9 9 9 9 8 8 7 7 7 7 6 7 7 8 9 9 9 10 10 11 11 11 11 11 11 12 12 12 12 11 10 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 8 8 8 9 10 10 11 12 12 12 12 11 9 8 8 8 10 11 11 11 11 10 9 9 9 8 4 2 2 4 6 8 9 9 10 10 10 10 10 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 10 11 11 13 16 15 13 11 10 9 8 8 8 7 7 7 7 7 6 5 6 8 10 11 11 11 11 12 12 11 11 11 11 12 12 12 12 11 11 11 10 10 10 9 9 9 9 8 8 8 9 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 10 10 10 9 9 8 7 7 7 7 6 6 7 8 8 9 9 10 11 11 11 11 12 13 13 13 12 11 10 9 9 9 9 10 10 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 10 10 11 12 12 11 10 9 8 8 10 10 11 11 10 10 10 10 9 7 5 3 3 5 7 8 9 9 9 9 9 9 9 nan
nan 9 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 13 15 14 13 11 10 9 9 9 8 8 8 8 8 7 6 5 6 8 10 11 11 11 10 10 9 9 9 10 10 11 12 12 12 12 11 11 11 11 11 11 10 10 9 9 8 9 9 9 8 7 5 5 5 6 7 8 8 8 8 8 7 7 7 7 7 8 8 9 10 10 10 10 10 9 9 8 7 7 7 7 7 8 8 9 9 10 10 10 10 10 11 12 12 11 11 11 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 9 9 9 10 10 11 11 12 12 12 11 11 11 10 10 10 9 9 8 8 8 9 11 11 11 10 9 8 9 9 10 10 11 10 10 10 10 9 8 8 7 7 7 8 8 8 9 8 8 8 8 8 nan
nan 9 9 8 8 8 9 9 8 8 8 8 9 10 11 11 12 12 12 12 12 14 14 13 12 11 10 9 9 9 9 9 8 8 8 6 5 4 6 8 10 11 11 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 12 11 11 11 10 9 9 9 9 10 9 7 5 3 3 5 6 7 8 8 7 7 7 6 7 7 8 8 9 10 10 11 11 12 11 10 9 8 7 6 6 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 7 7 8 8 9 9 10 10 10 10 10 9 8 8 8 8 10 12 13 13 14 14 14 14 13 11 10 10 9 9 9 8 8 8 9 10 10 10 10 9 8 9 9 10 10 10 10 10 10 10 9 10 11 11 10 9 8 8 8 8 8 7 7 7 7 nan
nan 10 9 9 9 9 9 9 8 8 8 8 9 10 10 11 11 11 12 12 13 15 15 14 12 10 9 9 9 9 9 8 8 8 6 5 3 4 6 9 10 11 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 10 10 8 6 4 3 3 4 5 7 7 7 7 6 6 7 7 8 9 10 10 11 11 11 12 11 10 8 7 6 5 5 5 5 6 6 6 6 6 7 7 7 7 6 5 5 5 6 6 6 7 7 6 6 6 7 7 8 8 8 7 7 7 6 6 5 6 7 9 11 12 13 14 14 14 14 13 11 10 10 9 9 9 9 8 8 9 10 10 11 11 9 9 9 9 10 10 10 10 10 10 10 10 10 11 12 12 11 9 9 8 8 7 7 7 7 7 nan
nan 10 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 11 11 11 13 15 15 14 11 9 9 9 9 9 9 8 7 6 5 3 3 5 8 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 10 11 11 9 7 5 4 3 3 4 5 6 7 6 6 6 7 8 9 10 11 11 11 12 12 12 11 10 8 7 6 5 4 4 4 4 4 4 4 4 5 6 6 6 5 4 3 3 3 4 4 5 5 5 5 5 5 6 6 6 5 5 5 5 4 4 4 4 6 8 9 11 12 13 14 14 13 13 11 10 9 9 9 9 9 8 8 8 9 10 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 12 14 13 12 10 9 8 7 7 7 7 7 nan
nan 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 12 13 14 13 11 9 8 8 8 8 8 7 7 5 4 2 4 8 10 10 9 9 9 10 10 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 9 10 10 10 10 10 9 10 11 12 11 10 8 7 6 4 3 3 4 6 7 7 7 7 7 8 9 10 11 11 12 12 13 13 12 11 10 9 8 7 6 5 5 4 4 4 4 4 4 5 5 5 5 5 4 4 3 4 4 5 6 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 7 8 9 10 11 12 13 13 13 12 11 10 9 8 8 8 9 8 8 8 9 10 11 11 10 10 9 9 9 10 10 10 10 10 10 10 9 10 12 14 15 14 12 10 8 7 7 7 7 7 nan
nan 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 10 11 12 12 10 8 8 8 8 7 7 6 6 4 3 3 6 9 10 9 8 9 9 10 10 9 9 8 8 8 7 7 7 8 8 7 7 7 7 7 8 8 9 9 9 9 9 10 11 12 12 10 9 9 8 6 5 4 4 6 7 8 8 8 8 8 8 9 10 11 13 13 13 13 13 13 12 11 10 9 8 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 4 4 5 6 7 8 8 8 8 8 8 8 8 9 9 9 10 10 11 12 13 13 12 11 10 9 8 8 8 9 9 9 8 9 10 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 11 12 14 15 14 11 9 8 7 7 7 8 nan
nan 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 11 11 10 8 7 7 7 7 6 6 5 3 2 3 5 8 9 9 9 9 9 10 10 10 9 9 9 8 8 7 7 8 8 8 8 7 7 6 6 6 7 8 8 9 9 10 12 13 12 11 10 10 9 8 7 5 5 7 8 8 9 8 8 8 8 9 10 12 13 14 13 12 11 12 13 12 12 11 10 9 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 5 6 7 8 9 10 11 11 10 10 10 9 9 8 9 9 9 10 11 12 11 11 10 10 9 9 9 9 9 9 8 9 10 11 11 10 9 9 9 10 10 10 11 11 11 11 11 11 10 10 11 13 15 16 14 11 10 9 9 8 8 nan
nan 9 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 8 9 10 11 10 9 7 7 7 6 6 5 5 3 2 3 4 6 8 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 10 9 7 6 5 5 6 7 8 9 11 13 13 12 10 10 10 9 9 7 6 7 8 9 9 9 9 8 8 9 10 11 12 14 14 13 12 10 10 11 12 13 13 12 12 11 10 10 10 9 9 8 8 8 8 7 7 7 7 8 8 8 8 7 7 6 6 5 5 5 6 8 9 10 11 11 10 10 9 9 8 8 8 8 9 9 10 10 10 10 10 11 11 11 10 9 9 8 8 9 10 11 11 10 9 9 9 10 11 11 11 12 12 12 12 12 11 10 10 12 15 16 17 17 16 14 13 12 11 nan
nan 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 10 8 7 7 7 6 6 5 3 2 2 3 6 8 9 10 10 10 10 10 10 9 10 10 11 10 9 8 8 9 10 12 12 12 10 8 5 4 4 5 7 9 11 13 13 11 10 9 9 9 8 7 7 7 8 10 10 10 9 8 8 9 10 11 12 13 13 12 11 9 9 9 10 11 12 13 13 14 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 10 9 9 8 7 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 13 12 10 8 7 8 9 10 10 11 10 9 8 8 9 10 11 11 12 13 13 13 13 12 11 11 11 12 15 18 20 20 18 17 17 17 nan
nan 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 12 13 12 10 8 7 7 7 6 6 5 3 3 3 5 8 9 10 10 10 10 10 10 9 9 10 11 11 10 9 8 9 11 13 14 14 13 11 8 5 4 4 6 8 10 11 11 10 9 8 8 8 7 6 6 7 9 10 11 10 9 8 8 9 10 11 12 13 12 11 10 9 8 9 9 10 11 11 12 13 14 14 14 14 14 14 14 14 14 14 14 15 14 14 14 14 13 13 12 11 10 10 10 11 11 11 9 8 8 9 9 9 9 9 9 9 10 9 9 8 9 10 11 11 11 12 13 14 13 11 8 7 7 9 9 10 10 10 9 9 8 9 9 10 11 12 12 13 13 13 12 12 11 10 10 13 15 16 16 16 17 19 20 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
40 29 18 11 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 8 5 1 0 1 0 0 0 0 0 0 0 0 3 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 2 4 5 7 8 10 13 15 15 17 20 22 23 21 17 12 7 5 3 2 1 0 0 0 0 0 3 6 6 6 8 8 4 3 4 10 5 6 10 10 9 8 9 12 13 16 20 25 27 27 26 22 22 25 33 51 81 121 181 463 527 476 392 299 198 122 74 51 35 21 10 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 5 7 8 9 9 8 7 6 3 2 2 2 1 1 2 3 3 3 3 3 3 3 3 3 4 6 9 12 13 12 16 20 24 27
50 41 27 15 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 8 5 1 2 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 1 3 4 5 4 6 12 16 17 18 21 26 29 29 24 18 13 9 7 5 2 0 0 0 0 0 1 1 1 2 5 8 9 4 3 10 8 8 10 11 10 6 3 5 8 11 16 21 26 28 31 30 31 34 38 40 41 46 59 175 270 344 401 402 332 260 181 124 82 50 27 14 7 3 3 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 7 8 8 9 8 8 6 3 3 3 3 2 2 3 3 3 3 3 3 3 2 2 2 3 6 10 15 16 15 20 24 27 29
59 52 37 21 13 10 6 3 1 0 0 0 0 0 0 0 0 0 0 0 1 3 4 2 0 1 1 1 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 1 1 1 1 1 5 9 13 16 18 23 29 31 29 25 21 16 12 9 6 3 1 0 0 0 0 0 0 0 1 6 10 2 0 5 7 7 8 7 7 3 1 1 3 8 13 16 24 27 32 36 40 44 46 45 42 41 41 47 81 146 232 312 346 355 333 268 191 124 73 40 21 10 6 5 4 3 2 1 1 2 1 1 1 0 0 1 0 1 2 3 4 4 5 7 9 9 8 7 5 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 5 10 16 22 19 20 25 29 30 30
61 51 37 24 18 15 13 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 4 2 1 1 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 2 6 10 13 17 24 27 28 28 25 21 17 12 8 6 4 0 0 0 0 0 0 0 0 1 7 3 2 3 5 5 5 2 1 0 0 0 1 4 8 10 19 28 34 38 46 54 55 54 51 47 42 37 39 55 94 166 243 331 406 397 333 256 175 106 53 30 17 12 8 6 4 2 2 2 3 3 2 1 1 2 1 2 3 3 4 4 4 6 9 10 9 6 5 5 4 3 3 4 5 6 5 3 3 3 2 4 6 6 6 14 28 37 32 25 25 29 32 32 30
57 42 33 27 22 21 19 15 6 1 0 0 0 0 0 0 0 0 2 5 7 1 0 0 1 6 8 8 6 4 3 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 13 18 23 26 26 25 22 18 14 13 8 3 1 0 0 0 0 0 0 1 5 5 3 3 4 2 1 0 0 0 0 0 0 1 5 7 15 24 29 35 46 59 61 61 56 49 48 46 44 46 55 81 121 217 321 394 419 392 328 238 150 93 54 32 20 12 8 5 4 5 6 5 4 3 2 2 2 3 3 3 4 4 4 5 7 8 7 6 6 6 5 6 7 9 10 10 7 4 3 3 4 8 12 15 20 34 54 55 43 33 30 33 35 32 33
44 34 30 29 29 29 25 15 7 3 1 0 0 0 0 5 19 29 37 40 32 9 2 2 5 8 10 10 9 8 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 9 15 21 24 25 24 22 17 18 13 7 4 1 0 1 2 0 0 1 5 7 8 8 8 2 2 1 0 0 0 0 0 0 2 5 9 15 21 28 40 51 60 64 62 56 52 55 55 53 51 54 67 117 205 318 413 452 434 379 304 227 151 87 47 28 19 13 10 10 10 9 7 5 4 3 2 3 4 4 4 3 4 4 5 6 6 6 6 7 7 9 11 13 14 14 9 5 3 4 8 15 21 24 27 47 52 45 34 29 31 33 34 37 46
22 20 23 31 35 41 38 29 20 13 8 4 2 0 2 13 41 57 60 60 49 24 8 6 6 8 9 9 8 8 8 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 13 18 22 24 26 21 21 18 13 8 3 0 1 6 3 1 1 3 8 14 15 13 6 2 0 0 0 0 0 0 0 1 3 4 7 13 20 31 44 53 59 63 65 66 64 60 61 59 62 67 81 115 186 294 364 394 409 403 372 308 211 128 88 51 31 23 18 13 11 9 8 6 4 3 2 2 3 5 4 4 4 4 5 6 6 7 8 10 12 14 14 14 15 12 7 6 8 14 23 33 36 25 37 32 23 20 23 30 32 36 50 70
7 6 16 33 35 53 57 55 50 40 28 17 10 9 12 19 45 69 81 84 71 42 16 9 7 7 8 7 8 8 9 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 7 11 13 10 7 3 1 0 0 0 0 0 3 3 1 0 0 0 0 0 0 0 0 2 5 8 12 18 23 23 25 25 21 14 7 1 0 5 6 2 0 1 5 12 17 18 12 9 5 0 0 0 0 0 0 0 2 3 4 7 13 24 37 46 50 54 57 59 63 60 64 70 81 88 85 83 100 151 206 263 325 385 435 458 392 318 253 162 86 51 39 27 19 13 10 7 5 4 3 2 3 4 4 5 4 4 5 6 7 9 10 12 15 16 14 12 13 13 12 11 12 17 25 42 43 33 24 19 16 14 21 28 35 53 80 100
4 4 10 22 23 48 61 62 59 55 51 40 15 14 14 26 47 68 85 95 89 62 26 12 9 8 7 7 8 9 9 9 7 3 1 0 0 0 0 0 0 0 0 0 0 0 1 1 3 7 12 16 17 15 12 9 6 3 1 1 1 1 0 3 6 4 1 0 0 0 0 0 0 0 0 1 2 7 12 17 22 26 30 29 22 14 8 4 5 6 3 0 0 1 4 10 16 15 19 18 6 1 0 0 0 0 0 1 2 3 4 9 17 28 36 42 47 48 45 54 57 61 71 86 99 98 85 88 91 110 146 196 263 349 453 509 524 481 366 233 150 90 54 38 27 18 11 7 5 3 2 2 3 4 6 7 4 6 7 8 10 13 16 19 18 16 13 13 13 13 13 14 17 22 37 42 37 28 20 15 12 17 28 53 89 117 122
15 10 10 13 15 32 46 57 61 61 62 58 21 16 14 22 37 52 67 84 86 73 35 17 11 8 7 9 11 14 14 13 9 3 1 0 0 0 1 1 2 2 1 2 3 3 6 6 10 15 19 20 19 18 16 14 10 6 4 3 2 3 3 6 6 3 0 0 0 1 1 0 0 0 0 0 1 3 8 14 20 25 30 33 29 23 16 11 8 5 2 0 0 0 1 5 11 12 19 27 19 12 1 0 0 0 1 3 6 6 7 9 14 20 26 33 42 46 37 38 41 47 56 68 85 97 90 81 73 71 78 95 126 192 296 419 526 566 519 419 316 179 105 72 52 36 22 12 6 5 4 4 4 5 7 10 9 9 9 10 11 14 18 20 20 17 15 14 13 13 13 14 16 20 33 45 42 27 19 16 18 27 44 78 120 136 127
35 20 12 12 13 18 27 47 61 62 60 58 37 25 18 20 26 32 43 63 69 71 52 36 23 13 12 13 16 19 20 18 14 8 4 0 3 4 6 10 12 10 9 10 12 14 18 20 25 28 29 28 28 25 22 18 12 8 4 2 4 6 8 10 10 8 5 3 1 1 1 0 0 0 0 0 0 1 4 10 16 23 29 34 34 30 24 19 14 9 5 2 0 0 0 2 5 8 11 16 23 32 11 5 4 4 5 5 5 6 9 13 16 21 24 26 35 40 37 31 27 29 39 48 63 77 82 77 68 60 55 54 63 93 140 235 350 445 494 493 435 321 215 146 100 64 39 21 13 10 8 6 6 7 8 11 12 13 12 12 15 16 18 21 21 19 17 16 15 14 14 15 15 19 26 34 38 30 24 24 33 53 85 119 139 133 119
51 39 26 13 16 15 18 38 56 55 47 39 29 19 16 16 18 20 25 35 61 85 96 93 77 51 26 23 24 24 25 25 23 20 19 19 21 20 23 26 25 23 21 23 26 28 34 38 41 43 44 44 42 34 28 21 15 9 6 4 7 11 13 14 16 17 16 10 4 1 0 0 0 0 0 0 0 1 5 8 13 21 28 33 35 33 28 24 19 15 11 8 4 2 1 1 4 7 10 15 24 37 28 21 19 18 14 18 11 10 13 17 21 25 29 28 37 45 43 35 24 20 24 28 37 51 61 61 56 54 51 45 41 46 64 108 175 255 333 402 439 417 352 273 190 111 72 48 33 22 15 11 9 8 9 12 15 15 13 12 14 17 17 18 19 20 20 19 17 14 13 13 14 17 23 33 33 31 33 39 55 87 128 157 142 121 105
63 67 63 48 42 29 29 42 48 32 19 16 14 12 12 13 16 20 26 48 90 129 149 154 145 118 78 56 54 56 55 47 43 51 58 34 34 35 36 35 34 33 33 36 39 43 49 53 55 58 59 54 51 41 31 22 16 12 10 8 13 16 17 18 21 23 22 18 9 4 1 0 0 0 0 0 0 0 2 5 11 19 26 32 34 32 29 25 23 21 20 18 14 11 6 3 4 10 18 22 31 42 44 43 47 50 28 33 28 25 25 27 27 29 33 31 34 41 41 32 20 12 12 12 13 19 28 33 33 37 43 40 33 29 32 44 66 100 155 229 302 367 410 401 321 210 142 91 59 40 27 20 15 13 11 12 15 16 13 12 16 25 25 20 19 20 21 20 14 13 12 12 13 16 18 21 21 27 38 52 77 111 158 181 143 111 92
83 91 94 85 68 55 51 53 52 45 33 14 11 12 12 13 14 17 26 62 122 168 178 174 172 166 145 120 107 96 85 74 66 63 57 41 38 39 39 39 39 41 47 53 55 55 57 60 64 68 67 59 55 45 31 20 15 14 13 13 17 18 20 22 25 28 27 24 18 12 7 2 0 0 0 0 0 0 0 2 7 16 23 28 30 29 27 25 24 25 28 27 26 21 15 8 6 14 28 34 41 50 55 61 74 81 63 65 64 54 46 41 37 36 34 29 28 31 34 29 17 7 5 4 3 5 10 15 19 24 28 30 27 21 15 13 17 28 54 94 143 206 294 399 377 312 237 159 97 67 47 35 27 22 18 15 15 14 15 14 19 22 22 22 20 19 20 19 16 14 13 13 14 15 17 19 22 28 40 56 81 116 155 158 131 105 94
89 91 94 88 74 64 60 58 56 55 50 26 15 15 19 19 17 18 32 81 141 184 190 179 178 183 182 172 148 117 78 51 48 48 46 44 42 44 45 46 53 70 89 95 90 79 70 68 70 75 75 66 57 46 32 23 20 18 17 19 21 22 24 27 31 34 32 29 24 18 12 5 0 0 0 0 0 0 0 1 3 10 17 21 24 25 25 24 25 26 31 32 30 27 23 17 13 13 29 43 52 61 66 72 87 93 93 97 97 92 81 62 58 52 45 37 30 25 26 31 23 17 8 2 1 1 5 10 16 20 23 24 23 19 15 11 8 10 16 28 47 77 126 231 290 318 312 256 163 114 80 59 44 36 31 25 20 17 17 17 23 25 22 19 19 21 20 20 18 16 16 14 14 14 15 16 20 27 41 57 78 109 139 141 120 100 93
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109 97 84 69 58 55 60 66 67 68 73 71 77 81 67 40 25 52 80 131 163 177 181 188 202 225 258 239 203 170 152 155 164 164 166 163 146 125 109 113 152 212 242 246 241 221 187 145 104 90 79 69 64 59 52 47 43 39 36 37 38 37 33 27 22 21 22 21 19 16 12 8 3 1 0 1 2 3 3 4 3 3 5 10 15 16 17 21 26 31 32 32 32 31 31 28 28 31 34 36 45 63 72 77 84 95 106 112 114 120 119 119 130 129 124 120 114 88 58 66 61 53 38 22 16 15 11 15 23 30 34 37 33 29 28 21 14 11 13 10 7 6 15 32 67 128 200 266 285 260 197 152 125 92 63 50 41 38 35 30 26 24 21 23 24 27 28 25 27 23 20 17 15 13 13 15 20 29 41 52 59 74 105 136 120 92 73
112 96 75 59 52 53 60 70 81 93 98 99 100 95 77 48 40 95 126 158 174 174 170 183 221 263 288 282 256 227 210 214 241 277 269 260 239 208 183 180 202 214 223 227 208 164 111 72 68 72 72 71 70 67 61 58 54 47 43 42 41 35 24 14 6 6 9 12 12 11 9 6 4 2 0 1 3 4 2 2 3 3 4 9 14 15 19 27 31 33 31 30 31 32 32 32 34 38 40 38 37 42 52 61 69 79 91 100 109 115 121 128 144 160 178 201 210 177 102 85 73 58 40 15 16 25 22 22 27 30 30 34 36 35 31 23 15 11 13 13 12 7 3 3 18 60 119 192 253 291 283 248 209 156 104 76 61 54 47 40 33 27 24 23 27 34 39 32 27 21 17 15 15 14 14 17 19 22 28 39 55 80 112 138 119 89 65
92 83 70 55 50 50 58 82 119 147 151 145 132 123 105 73 86 136 163 173 170 160 159 187 246 314 344 348 329 301 289 318 383 384 332 314 315 306 278 243 220 188 181 150 107 76 59 57 71 78 77 76 73 69 67 65 60 51 45 39 31 19 7 1 0 1 4 6 6 5 3 2 2 2 1 1 3 4 3 4 5 5 6 9 13 16 25 31 33 31 30 29 30 31 29 28 26 28 31 29 25 25 32 43 52 60 67 77 92 90 98 107 119 137 165 197 234 227 169 123 90 67 68 36 28 25 19 16 20 26 23 25 29 30 27 21 15 15 16 14 12 7 2 0 4 22 60 112 181 252 302 319 298 243 183 137 104 81 67 57 46 35 25 22 25 33 47 42 32 22 18 17 16 16 16 17 17 16 18 29 54 82 114 125 112 84 58
83 85 78 65 60 64 87 137 209 252 236 229 206 201 211 194 196 211 207 177 150 147 174 225 265 335 397 423 413 390 377 370 329 351 376 402 413 391 335 269 195 142 110 77 55 50 53 63 81 88 83 77 72 69 69 69 63 55 44 34 24 14 8 4 3 2 2 3 2 1 1 0 3 3 1 1 3 5 6 8 10 10 10 12 16 22 28 29 27 26 26 25 21 18 17 15 12 12 14 15 13 11 16 24 33 40 45 49 67 66 69 74 80 94 117 131 142 159 162 141 106 75 78 57 43 29 20 18 21 25 23 22 24 22 18 16 15 19 20 18 13 6 2 1 0 6 24 66 129 199 268 328 338 311 269 221 171 126 103 86 70 52 36 25 22 34 50 54 42 28 23 22 19 19 19 18 17 17 18 26 51 75 94 104 102 86 61
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