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 11 13 14 14 13 11 9 8 6 5 4 4 4 5 5 5 5 5 6 6 7 9 10 11 12 12 12 12 14 16 17 17 15 14 12 10 9 8 8 7 6 5 5 5 6 7 7 7 6 6 5 5 5 5 4 3 4 6 7 7 7 7 8 8 8 8 8 7 6 6 6 8 9 10 11 12 13 13 13 12 11 10 9 9 9 10 10 9 8 7 8 9 10 11 11 11 10 9 7 7 8 8 7 6 5 5 6 6 8 9 10 10 10 10 10 10 10 10 9 8 8 8 8 8 9 9 9 10 10 9 9 9 9 10 10 10 9 9 8 7 7 7 9 11 12 11 10 9 8 8 9 11 13 14 15 15 13 11 10 10 10 11 11 10 11 12 12 12 11 11 10 10 10 10 11 12 12 12 11 11 9 8 7 8 8 nan
nan 13 13 13 14 13 12 11 9 7 6 5 5 5 5 5 5 5 5 5 6 7 9 11 12 12 12 12 12 13 15 17 18 17 16 16 15 14 12 10 9 8 7 6 6 6 8 8 8 8 7 6 6 6 7 6 5 5 5 6 7 7 7 8 8 9 9 8 8 7 7 7 8 8 9 10 12 12 11 11 11 11 10 10 10 10 10 10 8 7 8 9 9 9 9 10 11 12 10 8 8 8 8 8 7 7 7 7 7 8 9 9 9 9 9 10 10 10 10 9 9 8 8 7 7 8 9 10 10 10 10 10 9 9 9 9 9 8 8 7 7 6 7 9 11 11 10 9 8 8 9 10 11 13 14 15 14 12 9 9 9 9 9 9 9 10 11 11 11 10 10 10 10 11 11 12 12 12 12 12 11 9 8 7 8 9 nan
nan 15 14 13 13 13 12 12 10 9 8 6 5 5 5 5 5 5 4 4 5 6 8 10 12 12 12 12 12 12 13 15 17 17 17 18 19 19 17 15 13 10 9 8 8 7 8 8 9 9 8 7 7 8 8 8 8 7 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 10 11 10 9 9 10 11 11 11 11 10 10 9 9 8 9 9 9 9 8 9 10 11 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 8 7 7 7 8 10 11 11 11 11 10 9 9 9 9 8 8 7 6 6 6 8 10 11 11 10 9 8 8 9 10 10 11 11 12 12 11 10 9 8 8 7 6 7 8 10 10 10 9 9 9 10 11 11 11 12 12 12 12 11 10 8 7 8 9 nan
nan 17 16 14 13 12 12 12 11 10 9 7 6 5 5 5 5 5 4 4 4 4 6 8 10 12 12 12 12 12 13 14 14 15 16 18 19 20 20 20 17 13 11 11 11 10 8 8 10 11 11 10 9 10 10 11 12 13 13 12 12 12 11 9 9 9 10 10 10 11 11 11 10 10 9 10 11 10 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 9 9 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 9 9 8 8 7 7 8 9 10 11 12 12 12 11 10 10 9 9 9 8 7 6 5 6 8 10 11 11 10 9 9 9 9 9 9 8 8 9 10 11 11 11 10 8 6 4 5 7 8 9 9 9 8 8 9 10 11 11 11 12 12 11 10 9 9 8 9 9 nan
nan 20 18 17 14 12 11 12 12 11 10 9 7 6 5 5 5 5 4 4 3 3 4 7 9 11 12 11 11 11 12 13 12 12 13 14 15 17 18 20 18 14 13 14 14 12 10 9 11 14 14 14 13 13 13 15 16 17 16 16 16 16 14 11 10 9 10 10 11 11 12 11 10 9 9 11 12 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 8 8 9 10 10 9 9 9 10 9 9 8 8 9 9 9 8 8 7 7 7 6 7 7 7 7 8 8 8 9 10 11 12 12 12 12 11 10 10 10 9 8 7 6 5 6 8 10 12 11 11 10 10 10 9 9 8 7 7 8 9 10 11 12 12 9 5 4 4 5 6 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 10 nan
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nan 18 20 23 25 25 22 19 16 14 13 13 12 10 8 7 6 5 5 5 5 5 6 6 7 9 12 13 12 13 14 15 15 13 11 9 6 5 6 8 9 10 9 9 9 10 12 14 13 12 11 10 9 8 8 8 9 10 10 11 11 10 10 10 9 9 9 8 6 4 4 5 6 6 7 7 8 8 7 7 7 7 7 9 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 9 10 11 11 10 10 8 7 6 6 7 8 8 8 8 7 7 7 7 6 6 7 7 8 8 9 10 11 11 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 6 5 4 3 2 3 5 7 8 8 6 6 7 7 7 6 6 5 5 5 6 6 6 6 7 8 8 8 nan
nan 15 18 21 23 25 25 23 21 19 18 17 17 16 14 12 10 9 8 8 8 8 8 8 8 9 11 13 13 13 14 15 16 15 14 11 9 7 6 6 6 7 7 7 8 10 12 12 10 8 7 5 4 4 4 5 7 8 8 8 7 7 6 6 6 6 5 4 3 3 3 4 5 6 6 7 7 7 7 7 7 7 8 10 10 10 10 10 9 9 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 9 8 7 6 6 7 7 8 9 8 8 9 9 8 7 7 7 7 7 7 8 8 8 9 10 10 10 9 8 8 9 8 8 7 7 7 8 9 9 9 9 9 9 8 7 7 7 7 7 6 4 3 3 5 7 9 10 10 9 8 8 9 9 8 6 6 6 6 6 6 6 6 6 7 8 8 8 nan
nan 13 15 17 19 22 23 23 23 22 21 21 21 22 22 20 18 17 16 15 14 12 11 9 8 9 11 12 13 14 15 15 16 16 15 14 12 10 8 6 5 6 7 7 8 10 10 10 8 6 5 4 4 5 6 6 7 7 7 6 5 4 4 4 4 4 4 4 4 4 4 5 6 6 7 7 7 7 7 8 8 9 10 11 11 10 9 9 9 9 9 8 8 8 9 9 10 10 9 9 9 9 9 9 10 10 9 9 8 8 7 6 6 6 7 8 9 9 9 9 10 9 9 8 8 8 7 7 7 7 7 7 7 9 9 10 9 9 9 9 9 8 7 6 7 8 9 9 9 9 9 8 7 7 7 7 7 6 6 5 4 4 6 9 10 11 11 9 9 10 10 10 9 7 6 7 7 7 7 7 6 7 7 8 8 8 nan
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nan 8 10 11 12 14 15 16 17 17 17 17 18 18 19 20 21 20 19 17 14 11 9 9 9 10 10 12 13 14 15 16 16 15 15 15 14 13 11 9 8 8 8 9 10 10 10 10 8 6 5 6 8 9 9 9 7 5 4 3 3 4 5 6 7 7 7 7 7 7 8 10 10 9 8 7 7 7 8 9 10 10 8 7 7 8 9 9 9 8 8 8 8 8 8 9 9 10 9 8 8 8 8 8 8 8 8 8 8 8 7 6 7 7 8 9 9 9 10 10 9 8 7 7 7 7 7 7 7 7 7 7 6 6 6 7 9 10 10 9 8 7 7 7 7 8 9 9 9 10 10 10 10 10 10 9 8 7 6 6 6 6 7 8 9 10 9 9 9 9 9 8 8 8 8 8 7 7 8 8 9 9 9 8 8 8 nan
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nan 6 6 6 6 6 6 7 8 9 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 10 11 12 13 14 15 15 15 15 14 13 12 12 11 11 10 10 11 11 12 12 13 13 13 12 12 12 11 9 6 6 6 6 6 6 7 9 11 11 10 9 7 6 6 6 7 7 8 11 14 15 14 11 8 8 8 9 9 9 9 8 8 8 8 9 9 10 10 9 9 8 9 9 9 9 9 9 9 9 9 8 8 7 7 6 6 8 9 10 10 9 8 8 9 9 9 9 8 8 8 8 8 8 9 9 8 9 10 10 10 10 10 9 8 8 9 8 8 7 6 7 8 9 9 9 10 10 11 11 11 12 11 10 9 8 7 7 7 7 8 7 6 5 4 4 4 5 7 7 7 7 7 7 7 8 8 8 nan
nan 7 7 6 6 5 5 6 6 7 8 9 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 10 10 11 12 13 14 15 14 14 13 12 11 10 9 9 9 10 10 11 12 13 14 15 15 16 14 10 6 5 5 6 6 6 6 8 10 11 10 8 7 6 6 7 8 8 7 8 11 12 12 11 10 9 10 10 10 10 9 8 8 7 7 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 7 6 6 5 6 8 9 10 10 9 9 9 9 10 9 9 9 8 7 7 7 8 9 9 9 9 9 9 10 10 10 10 9 8 8 8 8 7 7 8 8 9 9 9 9 9 10 11 12 12 12 13 13 12 10 9 9 8 8 7 7 6 5 4 4 5 6 7 7 7 8 7 7 8 8 8 nan
nan 6 6 6 6 5 5 5 5 6 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 10 10 11 13 14 14 14 13 12 10 9 9 9 8 8 9 9 10 11 13 15 17 18 16 10 6 5 6 7 7 6 7 9 9 9 8 8 7 7 8 8 8 8 8 9 11 11 11 10 9 8 9 9 8 7 6 6 6 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 6 5 5 6 9 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 9 8 8 9 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 12 14 14 14 13 11 10 9 8 7 7 8 7 6 5 5 5 6 6 6 7 7 8 8 8 8 nan
nan 6 5 5 5 5 4 5 5 6 8 8 8 8 7 7 7 7 8 7 7 7 7 7 8 8 9 9 10 10 10 10 10 9 10 11 12 13 13 12 11 10 9 9 8 8 7 7 7 8 9 10 12 14 16 16 12 9 9 9 10 9 8 9 9 9 8 8 8 8 8 8 8 8 8 8 10 11 12 11 9 7 6 6 5 5 5 4 4 5 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 5 4 5 8 10 11 11 10 9 8 8 8 9 9 9 9 8 8 9 9 9 9 9 9 9 8 8 8 9 10 10 9 9 8 8 8 8 8 8 8 9 9 9 10 11 11 11 11 11 12 13 14 14 14 13 12 11 9 8 8 8 9 8 7 6 5 5 5 5 6 7 8 9 9 8 nan
nan 4 4 4 4 4 4 4 5 6 7 8 8 8 8 7 7 7 8 7 7 7 7 7 8 8 9 9 10 10 10 10 10 9 9 10 10 11 11 10 10 10 10 9 8 8 8 7 8 8 8 8 9 11 13 14 14 14 14 14 14 12 10 10 9 8 8 8 8 8 8 8 8 8 8 9 10 12 12 11 8 5 5 5 5 4 4 4 5 6 6 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 7 6 5 5 6 10 12 12 11 10 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 10 11 11 12 12 12 12 12 12 12 11 11 11 10 9 8 6 5 5 5 5 6 8 9 10 10 9 nan
nan 4 4 3 4 4 4 5 6 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 8 9 9 9 9 10 11 11 10 9 9 9 9 9 9 9 9 9 10 11 13 15 17 19 19 17 14 12 10 8 7 7 7 8 8 8 9 9 8 8 9 10 12 11 9 7 6 6 6 6 6 6 6 6 7 7 7 8 8 9 8 8 8 8 9 9 10 11 12 11 10 9 9 8 8 7 6 5 7 10 12 11 9 8 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 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 11 12 13 13 13 13 12 11 10 10 9 8 8 8 8 10 11 12 11 10 nan
nan 3 4 4 4 5 6 6 7 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 9 8 8 8 8 8 8 9 9 9 8 8 8 8 9 10 11 12 12 11 11 10 10 9 9 9 9 9 9 10 11 12 14 18 20 20 18 15 12 10 8 6 6 7 8 9 9 9 9 8 8 10 11 11 10 8 7 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 10 11 11 11 10 9 9 9 9 8 7 7 9 11 11 9 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 8 8 8 8 7 7 7 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 7 6 6 6 7 8 10 11 12 12 12 13 14 14 14 14 14 13 13 12 13 14 14 13 12 nan
nan 4 5 5 6 6 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 8 9 9 10 9 9 8 8 9 9 10 11 12 12 11 11 10 10 10 10 9 9 9 9 9 10 12 14 17 18 19 18 16 14 11 9 7 7 8 9 10 10 10 10 9 9 10 10 9 7 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 9 9 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 10 11 9 8 7 8 8 8 7 7 7 7 7 7 7 7 7 6 6 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 8 8 7 6 5 6 6 7 8 9 10 10 10 11 12 13 14 15 16 16 15 15 14 15 14 12 11 nan
nan 5 6 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 9 9 8 8 8 9 9 10 10 9 9 9 8 9 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 12 14 15 16 17 16 16 14 12 10 9 10 10 10 10 10 9 9 9 9 8 7 5 4 5 6 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 9 9 9 9 9 10 10 9 8 8 9 9 8 8 8 7 8 7 7 7 7 7 6 6 6 7 8 8 7 6 6 6 6 6 7 7 7 8 8 8 9 9 10 10 9 9 9 9 10 10 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 10 10 11 12 13 13 12 11 10 9 8 nan
nan 7 8 9 9 8 8 8 8 8 9 10 10 9 8 8 8 9 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 9 9 9 8 8 9 9 9 9 10 11 12 13 14 14 14 14 14 14 13 12 11 11 10 9 8 8 8 7 6 4 4 4 5 6 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 7 8 8 9 9 9 9 8 8 8 8 9 9 9 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 6 7 7 8 8 7 6 5 5 5 6 6 7 7 7 7 8 8 9 10 10 10 9 9 8 9 9 9 9 10 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 7 7 8 9 9 8 7 6 6 7 nan
nan 9 10 10 10 10 10 9 9 9 9 10 10 9 9 8 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 11 11 11 12 14 15 15 14 12 10 9 9 9 8 7 5 4 3 4 5 6 8 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 7 7 8 9 9 9 8 7 6 7 7 8 9 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 7 8 9 8 7 6 5 4 4 5 6 7 7 6 7 8 8 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 6 6 6 6 nan
nan 11 11 11 11 10 10 10 10 10 10 10 10 10 9 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 7 7 7 7 7 8 8 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 13 14 13 11 9 8 9 9 9 6 4 3 4 6 7 8 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 7 6 7 8 8 8 7 6 6 6 7 8 9 9 9 8 8 8 8 8 7 7 6 6 6 6 6 6 6 7 7 7 6 6 5 5 4 5 6 6 7 7 6 7 8 9 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 8 8 8 8 8 8 8 9 9 8 8 nan
nan 11 11 10 10 9 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 9 9 9 9 9 10 11 11 11 11 11 11 9 8 9 10 10 9 6 4 4 6 8 9 10 10 10 8 7 7 7 8 8 8 8 8 8 8 8 8 9 10 10 8 7 6 7 8 9 9 8 8 7 8 9 10 10 10 9 8 8 8 7 7 7 7 6 6 7 7 6 6 6 6 6 5 5 5 5 5 5 5 6 7 7 7 8 9 10 10 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 10 9 nan
nan 10 10 9 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 6 6 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 8 8 8 8 8 8 10 11 12 10 6 5 6 7 8 9 11 11 10 8 7 8 8 9 9 9 9 9 9 8 8 9 10 11 11 9 7 7 8 9 9 10 10 9 9 9 10 11 11 10 9 8 8 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 6 6 5 6 7 8 8 9 9 10 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 11 11 11 10 9 9 nan
nan 10 9 9 9 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 6 7 7 7 7 7 7 8 8 8 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 6 7 7 7 8 9 11 11 9 6 6 7 8 8 9 11 11 10 8 8 8 9 9 9 9 9 10 9 8 9 10 11 11 10 9 8 8 8 9 9 10 10 10 10 10 10 10 10 9 8 8 7 7 7 6 6 6 6 6 5 5 5 4 4 5 5 5 6 6 6 6 6 6 7 9 9 9 9 10 11 11 12 11 10 9 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 10 11 10 9 9 8 8 nan
nan 11 10 10 10 11 11 11 11 10 10 9 9 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 8 7 6 7 8 9 8 8 9 9 10 8 7 8 8 9 9 10 11 11 9 8 8 8 9 9 9 9 9 10 9 9 10 11 11 10 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 7 7 6 6 6 6 6 6 6 5 5 4 4 3 4 4 5 5 6 6 6 6 6 7 8 8 9 9 9 10 10 11 11 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 9 8 7 7 7 nan
nan 12 12 12 12 13 13 12 12 11 11 10 9 9 9 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 8 7 7 7 8 10 10 9 8 8 8 9 8 9 10 10 10 9 9 10 9 9 8 8 8 8 8 8 9 9 9 10 11 12 12 11 10 9 9 9 9 9 10 10 10 10 10 9 9 8 7 7 7 7 6 6 6 6 6 6 6 6 5 5 4 4 4 5 5 6 6 6 6 6 6 6 7 8 8 9 9 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 7 7 6 7 nan
nan 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 8 8 7 7 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 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 7 7 8 9 10 10 9 8 8 8 9 9 10 11 12 11 10 9 8 8 8 9 9 8 7 7 8 9 9 9 10 12 13 13 11 10 9 9 9 9 9 10 10 10 10 9 8 8 7 7 7 6 6 6 6 6 6 6 5 5 6 5 5 4 5 6 7 7 7 7 7 7 7 6 6 7 7 8 10 11 11 11 11 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 nan
nan 11 10 10 10 10 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 7 8 8 9 9 10 10 10 9 9 8 8 8 7 7 7 8 8 9 9 8 8 8 9 10 11 11 12 12 11 10 8 7 7 7 9 9 7 7 8 9 9 8 9 11 13 14 12 11 10 9 9 9 9 9 9 9 9 8 8 8 7 6 6 6 6 6 6 7 7 6 6 5 5 6 6 5 4 5 6 7 8 8 8 8 8 8 7 7 7 7 8 10 11 12 12 11 11 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 9 8 8 7 6 nan
nan 9 8 8 7 8 8 8 9 9 10 10 10 9 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 9 9 10 11 11 10 9 9 8 7 7 7 7 7 8 8 8 8 8 8 10 11 11 12 12 12 11 10 9 8 7 7 8 9 9 10 10 9 8 8 9 12 13 13 12 10 9 9 10 10 10 9 9 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 6 5 6 6 6 4 3 4 6 8 8 8 8 9 9 9 8 7 7 7 8 10 11 11 11 10 10 9 9 9 9 9 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 9 8 9 9 10 9 8 7 7 nan
nan 8 7 7 7 6 6 6 7 7 7 8 8 8 8 8 8 7 7 7 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 7 6 7 7 8 8 9 10 10 11 11 11 10 9 8 8 7 7 7 7 7 8 7 7 8 9 10 11 11 11 11 10 10 10 9 9 8 8 9 10 11 11 11 9 8 8 10 13 13 12 11 10 9 9 10 10 10 10 9 8 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 6 6 6 5 4 3 5 7 8 8 8 8 9 9 9 8 8 7 7 8 9 10 10 10 9 9 9 9 9 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 10 10 11 10 9 9 8 nan
nan 7 7 7 7 6 6 6 5 5 6 6 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 11 10 10 9 9 8 8 7 7 8 8 8 8 8 9 10 11 10 10 9 9 9 9 9 9 9 9 10 11 11 10 10 9 9 10 12 13 12 11 11 10 9 10 10 10 10 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 4 3 4 6 8 9 8 8 8 8 8 8 8 7 7 7 8 10 10 10 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 10 10 9 nan
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nan 5 6 7 7 8 8 8 8 8 7 7 8 8 9 9 10 10 10 9 9 9 8 8 8 7 8 7 7 7 7 7 7 7 7 6 6 6 7 7 7 8 8 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 11 11 10 9 8 8 8 7 7 7 9 10 12 12 11 10 11 12 13 13 13 12 11 10 10 10 9 9 9 9 10 10 9 9 9 9 8 8 8 8 8 7 7 7 6 7 7 8 8 7 6 5 5 4 6 8 9 9 8 8 9 9 8 8 7 6 5 6 7 8 9 8 7 7 7 7 7 6 6 7 8 9 10 11 11 11 11 11 11 10 10 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 nan
nan 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 10 10 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 8 7 7 7 7 9 10 11 12 11 10 11 11 12 12 11 11 11 10 10 9 9 9 8 8 9 9 9 9 9 9 9 8 8 7 7 7 6 6 6 7 7 7 7 7 6 5 5 5 7 8 9 8 8 9 10 9 9 8 7 5 4 5 7 8 8 7 7 7 7 7 6 6 6 7 8 9 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 nan
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nan 10 9 8 8 8 9 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 12 13 13 13 12 10 8 8 8 9 10 10 11 11 10 9 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 9 10 11 11 12 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 10 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 10 9 9 8 8 8 8 8 8 10 13 15 16 16 14 12 11 11 11 11 10 8 5 4 6 8 10 9 9 10 11 12 12 11 9 8 8 8 8 7 8 9 9 10 10 10 9 8 8 7 8 9 9 10 11 11 12 13 14 13 12 11 10 8 5 3 4 5 6 8 8 8 8 8 8 9 9 10 10 11 11 nan
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nan 10 10 10 10 9 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 10 10 11 12 14 14 14 13 12 10 9 8 8 9 9 10 10 10 10 9 8 7 7 7 8 8 8 8 9 10 10 10 9 8 8 7 7 8 9 10 11 11 12 12 11 11 10 10 10 10 10 11 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 11 11 11 11 10 11 11 11 11 11 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 9 10 13 16 17 16 14 12 12 11 11 11 9 5 3 2 4 6 8 10 11 12 12 10 8 7 7 8 9 8 6 5 5 6 7 8 9 10 10 9 7 5 5 6 7 8 9 11 12 13 12 11 11 10 8 5 4 4 5 7 9 9 9 9 9 10 10 10 11 11 11 11 nan
nan 9 9 9 9 8 9 9 10 10 11 11 12 12 13 13 13 12 12 11 10 9 10 11 12 13 14 14 14 12 11 10 9 9 9 10 11 11 10 10 9 8 8 8 8 8 8 9 9 10 10 10 10 9 9 8 8 8 8 8 9 10 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 12 12 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 12 15 17 16 15 13 12 11 12 12 10 6 2 1 2 6 9 10 11 12 11 9 7 6 6 8 10 11 9 8 7 8 8 9 10 11 12 13 11 7 5 4 4 4 6 8 10 10 11 10 10 9 8 5 4 4 5 7 8 9 9 9 9 10 10 10 11 11 11 11 nan
nan 9 9 8 8 8 8 9 9 10 11 12 12 12 13 13 12 11 11 10 9 9 9 10 11 11 13 14 14 13 12 11 10 10 11 12 12 12 11 10 9 8 8 8 9 9 9 10 11 11 10 10 10 10 9 9 9 8 8 8 9 10 10 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 11 11 10 9 8 8 9 9 9 9 9 10 10 10 10 10 10 12 15 16 16 15 13 12 12 12 12 11 7 2 -1 0 5 8 10 11 11 11 9 8 6 5 6 9 11 11 10 9 9 9 10 10 12 14 16 16 12 9 6 3 3 4 5 7 8 9 9 9 9 8 6 4 4 5 6 8 9 9 9 10 10 10 10 10 10 11 11 nan
nan 8 8 8 8 8 9 9 10 10 11 11 12 12 12 11 10 9 9 9 8 8 9 9 10 11 13 14 15 14 13 12 11 11 12 13 13 13 12 11 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 12 12 12 12 11 11 11 12 11 11 11 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 11 10 10 10 11 11 10 9 8 8 9 9 9 10 10 10 11 11 11 10 10 11 14 15 16 15 14 13 13 13 13 12 8 2 -2 -1 3 7 9 10 10 11 10 9 7 5 5 7 9 9 9 9 9 9 9 10 12 14 18 20 19 17 12 7 4 4 5 6 7 8 9 9 9 8 6 4 3 4 5 7 8 9 9 9 9 9 10 10 10 11 11 nan
nan 8 8 8 9 10 10 10 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 9 9 10 12 14 15 15 14 13 12 12 12 13 14 14 13 12 10 10 10 11 11 11 12 12 12 11 11 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 11 12 12 11 10 9 9 10 10 10 9 8 8 9 9 9 10 10 11 11 11 11 10 10 10 12 14 16 16 14 13 13 13 14 13 10 4 -1 -2 1 5 8 9 9 10 10 10 9 7 6 6 7 7 8 8 8 9 9 10 12 15 18 21 23 23 18 12 8 7 6 7 7 8 9 9 10 9 7 5 3 2 4 6 8 8 9 9 9 9 9 9 10 10 10 nan
nan 8 7 8 9 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 10 11 12 14 14 14 13 12 12 13 13 14 14 13 12 12 12 12 12 12 12 13 12 12 12 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 12 12 12 11 11 10 10 9 9 10 11 12 11 10 9 9 10 10 10 9 9 8 9 9 9 9 10 10 11 10 10 10 10 10 12 14 16 17 15 14 13 13 14 14 11 6 1 -2 -1 3 6 8 8 9 9 10 10 9 8 7 7 7 7 8 9 9 10 11 12 14 16 19 22 23 21 16 13 10 9 9 9 9 9 10 10 11 10 8 5 2 3 4 7 8 8 8 9 9 8 8 8 8 9 nan
nan 8 8 8 9 10 10 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 10 10 10 11 12 13 13 13 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 11 11 11 11 12 12 12 13 13 13 13 12 12 12 12 11 11 10 10 10 10 11 11 11 11 10 10 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 12 15 17 18 16 15 13 13 14 14 12 9 3 -1 -1 2 5 7 8 7 7 8 10 10 9 9 8 8 8 9 9 10 10 11 12 13 13 15 18 21 21 18 15 13 12 11 11 10 10 10 11 11 11 10 7 4 3 4 6 8 8 8 7 7 7 7 6 6 6 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 11 11 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 11 11 11 11 11 12 12 12 13 13 13 12 12 12 12 12 12 12 11 11 10 11 11 11 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 10 13 16 18 18 16 14 14 14 14 13 11 5 -1 -2 1 5 9 8 7 6 8 9 9 9 9 9 8 8 9 9 9 10 10 11 12 12 13 14 17 18 17 16 15 14 13 12 12 11 11 11 11 12 11 9 5 4 4 6 8 8 7 6 7 7 6 5 4 5 nan
nan 10 10 10 9 9 8 8 8 8 8 9 10 10 10 10 11 11 11 10 10 10 10 11 12 11 11 9 9 9 10 11 11 11 11 12 12 11 11 10 10 11 12 12 13 14 14 14 14 13 12 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 12 12 12 12 12 12 11 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 10 10 10 10 10 10 9 9 8 7 7 9 12 16 18 18 17 15 14 14 14 12 7 0 -2 -1 5 9 9 8 7 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 12 13 15 16 16 16 15 15 14 13 13 12 11 11 11 12 12 10 7 4 4 7 9 9 8 7 7 7 6 4 4 4 nan
nan 12 11 11 10 9 8 7 7 7 8 8 9 10 10 11 11 11 11 10 9 10 11 12 12 12 10 9 8 8 9 10 10 10 11 12 12 11 10 10 10 10 11 12 14 15 16 15 14 13 12 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 12 12 13 13 13 13 12 12 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 8 8 7 7 8 9 10 11 12 12 12 11 11 11 11 11 10 9 9 11 15 18 19 17 15 13 14 13 8 2 -2 -3 1 7 9 10 9 7 6 6 7 7 7 6 7 8 8 9 9 10 10 10 10 11 13 15 15 15 15 15 14 14 14 13 13 12 12 12 12 12 10 8 5 4 6 9 10 9 8 8 7 6 4 3 3 nan
nan 12 12 12 11 10 9 8 7 6 7 8 9 10 10 10 10 11 11 10 10 10 11 12 12 11 10 8 7 7 8 8 9 10 11 12 12 11 11 10 9 9 10 12 14 17 18 16 14 12 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 11 11 12 12 13 12 12 12 11 11 10 10 10 10 11 11 11 11 10 10 10 10 9 9 8 8 7 7 8 9 10 11 12 13 14 14 13 13 15 16 15 13 10 9 12 16 20 19 17 14 14 14 10 5 -0 -4 -2 3 7 9 9 7 6 7 8 7 6 6 7 7 8 8 9 10 10 10 10 11 13 15 15 14 14 14 14 14 14 13 13 13 12 12 12 12 11 10 8 7 7 8 9 9 9 9 8 7 4 2 2 nan
nan 11 11 11 11 11 9 8 7 7 7 7 8 9 10 10 10 10 10 10 11 11 12 12 11 10 9 8 7 7 7 7 9 10 11 12 12 11 11 10 8 8 10 13 16 19 19 16 14 12 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 12 12 12 12 12 12 11 11 10 10 10 11 12 12 12 12 11 11 11 10 10 9 8 8 7 7 8 9 10 11 13 15 15 15 14 14 16 18 18 14 10 10 13 18 19 18 15 14 14 12 9 4 -0 -1 1 5 7 6 4 5 6 8 8 7 7 8 8 8 8 9 10 11 10 11 13 15 16 16 14 13 13 13 13 13 13 13 13 13 12 11 10 10 11 12 12 11 9 8 8 9 9 9 8 5 3 3 nan
nan 10 10 11 11 10 9 8 7 7 7 7 8 9 10 10 10 10 10 11 12 12 12 11 9 8 7 7 7 7 7 8 9 10 11 12 11 11 10 9 8 9 11 14 17 19 18 16 14 12 11 11 10 10 10 10 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 11 10 10 11 12 13 13 13 12 12 12 12 11 10 10 9 8 8 8 9 9 11 12 14 15 15 14 14 15 18 21 19 14 10 9 12 15 16 15 14 13 13 12 9 4 2 2 3 4 2 1 2 4 6 7 8 8 9 9 9 9 9 9 9 9 9 11 14 15 15 14 13 12 12 12 12 12 13 13 12 12 10 9 6 8 11 13 14 12 9 9 9 9 9 8 6 4 4 nan
nan 10 11 11 11 10 9 8 6 6 6 7 8 9 9 10 10 10 10 11 12 13 12 11 9 8 7 6 6 7 8 8 9 10 11 11 11 10 10 9 10 11 13 14 16 17 17 15 14 13 12 11 11 10 10 10 10 10 11 12 12 11 11 11 10 10 10 10 10 10 10 10 11 11 10 10 11 11 11 11 11 11 12 11 11 11 12 12 11 10 9 10 11 12 13 13 12 12 13 13 12 12 11 11 10 10 9 9 9 10 11 12 13 14 14 13 14 17 22 22 18 14 9 8 10 12 13 13 13 13 13 11 8 5 4 3 2 -1 -2 -1 0 2 5 7 8 9 10 10 10 10 10 9 7 6 7 9 12 13 13 12 12 12 12 12 12 12 13 13 13 11 8 4 4 7 10 13 12 10 10 10 10 10 8 6 5 5 nan
nan 10 10 11 10 9 8 7 6 5 6 7 8 8 9 10 10 10 10 11 12 13 13 12 10 9 7 6 6 7 8 9 10 10 10 10 10 10 10 10 11 12 12 13 15 16 16 15 14 13 12 11 11 10 10 10 10 11 12 13 13 13 12 12 11 11 11 11 11 10 11 11 11 11 10 10 10 11 11 11 11 11 12 11 11 12 12 12 11 10 9 9 10 11 11 11 11 11 11 11 12 12 12 11 11 10 10 9 9 9 10 11 12 13 13 13 13 15 19 21 21 19 14 11 10 10 11 12 13 13 13 12 10 8 6 5 2 -1 -2 -4 -4 -1 2 5 7 9 10 10 10 10 10 9 7 6 6 8 9 11 11 11 11 11 11 12 12 13 14 16 16 15 11 7 6 7 8 10 11 11 11 11 10 10 9 8 7 7 nan
nan 9 10 11 10 10 9 8 6 5 6 6 7 8 9 9 9 9 9 10 10 11 13 13 12 10 9 7 7 8 8 9 10 10 10 10 9 10 10 10 11 12 12 13 14 16 16 16 15 14 13 12 11 11 11 11 11 12 13 14 14 14 13 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 12 12 12 12 12 14 17 20 22 21 18 16 14 13 13 13 14 13 13 11 10 8 6 4 2 -1 -5 -7 -4 -1 4 7 8 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 10 11 12 13 14 17 20 22 22 19 16 13 10 9 9 10 10 10 10 10 10 9 9 9 9 nan
nan 10 11 11 11 11 10 8 7 6 6 6 7 8 8 8 9 9 8 8 9 9 11 12 12 12 11 10 9 9 9 10 9 9 9 9 9 10 10 10 11 11 12 13 14 15 16 15 15 14 13 13 12 12 12 12 12 13 14 14 14 14 13 13 12 12 11 11 10 10 10 11 12 12 12 11 11 11 11 11 11 11 11 12 12 13 13 13 12 12 11 11 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 13 17 22 24 24 23 21 20 19 18 17 16 14 12 11 10 8 6 4 2 -4 -8 -7 -5 -1 4 7 8 8 7 8 8 9 9 10 10 11 11 11 11 10 10 11 12 14 15 16 18 20 23 25 25 23 20 16 12 10 10 9 9 9 9 9 9 10 10 10 nan
nan 11 12 12 11 11 10 9 8 7 6 7 7 7 8 8 8 8 8 8 8 9 9 10 12 12 12 12 11 11 11 10 9 9 9 9 9 10 10 10 11 11 12 13 14 15 15 15 15 14 14 13 13 12 12 13 14 14 14 14 13 13 12 12 12 12 12 12 11 11 11 12 12 13 13 12 12 12 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 11 14 18 22 24 25 25 24 24 24 23 20 17 15 14 12 10 8 7 5 1 -4 -7 -8 -3 3 7 9 10 9 9 9 9 10 11 12 13 13 13 12 12 13 14 15 15 16 15 15 16 18 20 23 23 22 19 16 13 11 10 8 7 8 9 9 10 10 10 nan
nan 11 11 11 11 11 11 10 9 9 8 7 7 7 7 7 7 8 8 9 9 9 9 10 10 11 12 12 12 12 11 10 10 9 9 9 9 10 11 11 11 11 12 13 13 14 14 14 15 14 14 13 13 13 13 13 14 14 14 13 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 13 15 18 20 21 22 23 25 26 25 23 21 21 20 18 15 12 9 8 6 4 2 4 9 12 15 16 15 13 12 12 12 14 17 18 16 14 12 13 13 13 13 12 11 10 9 10 11 15 19 21 22 21 19 17 15 12 10 8 8 9 10 10 10 9 nan
nan 10 10 10 10 11 11 11 10 10 9 9 8 7 7 7 7 7 8 8 8 9 9 9 10 11 11 11 11 11 11 11 10 9 9 9 10 10 11 11 11 11 12 13 13 13 14 14 15 15 15 14 13 13 13 13 13 13 13 12 11 11 11 11 12 12 13 13 13 13 12 12 11 10 11 11 11 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 15 16 16 18 21 25 27 26 25 26 27 27 24 21 18 17 17 17 17 16 17 18 20 21 20 18 16 15 14 15 17 18 16 12 9 9 9 9 8 7 6 7 7 8 11 14 18 21 22 23 22 20 17 15 12 11 10 10 10 10 9 9 nan
nan 9 9 9 10 11 11 11 11 11 10 10 9 8 7 7 7 7 8 8 8 8 8 9 9 10 11 11 11 11 11 10 10 9 9 10 10 10 10 10 11 12 12 13 13 12 12 13 14 14 14 14 13 13 13 13 13 13 13 12 12 11 11 12 13 14 14 14 14 13 12 11 10 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 10 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 12 12 13 14 17 20 21 22 22 22 24 27 27 26 24 21 20 19 19 19 19 19 19 20 19 19 18 16 15 15 16 16 14 11 8 8 10 10 10 9 9 10 10 11 12 15 17 18 20 20 20 18 16 15 13 12 11 11 10 10 9 9 nan
nan 9 9 9 10 11 11 11 11 11 11 10 9 8 7 7 7 7 7 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 12 12 13 14 14 14 13 13 13 13 13 13 13 13 12 12 13 13 14 14 14 14 14 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 13 14 14 15 15 15 16 18 19 20 19 18 16 15 14 15 15 15 15 15 15 15 17 17 16 17 18 19 17 14 12 12 15 16 16 16 15 14 14 13 13 13 14 14 15 15 15 15 14 13 13 12 11 11 11 10 10 10 nan
nan 10 9 9 10 10 11 11 11 11 11 10 9 8 7 7 7 7 7 8 8 8 8 8 9 9 9 10 10 9 9 10 10 9 10 9 9 10 10 10 11 12 12 13 13 12 12 12 13 13 13 14 13 13 13 14 14 14 14 14 14 13 13 13 12 12 12 12 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 15 17 17 17 18 19 18 17 15 14 15 16 17 17 16 15 14 13 12 12 12 12 12 13 13 13 12 12 12 12 12 11 11 11 11 12 nan
nan 10 9 9 9 10 10 10 11 11 11 10 9 8 7 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 13 13 12 12 12 13 13 13 13 13 13 13 13 14 14 14 13 13 13 13 12 11 11 11 10 10 11 12 12 12 12 11 10 10 10 9 9 9 9 9 9 10 10 10 10 9 8 8 9 9 9 8 8 8 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 11 10 9 8 7 6 6 6 8 9 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 11 11 12 12 13 14 14 15 15 15 14 14 13 13 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 13 nan
nan 9 9 9 9 9 9 10 10 10 10 9 8 8 7 6 6 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 11 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 10 10 10 11 13 13 13 12 11 10 10 9 9 9 8 8 8 9 10 11 11 10 8 7 6 6 6 5 5 6 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 12 11 10 8 6 3 1 1 2 4 6 7 8 9 10 10 10 10 10 11 12 11 10 7 5 5 7 10 11 12 12 12 12 11 11 11 11 11 11 11 11 10 10 11 11 11 12 12 11 11 11 11 12 12 12 12 11 11 11 11 12 12 12 12 12 12 nan
nan 9 9 9 9 9 9 9 9 9 9 8 8 7 7 6 7 7 8 8 9 9 9 9 10 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 13 12 12 12 12 13 14 14 13 11 10 10 10 10 9 7 6 5 5 7 9 10 11 10 7 5 3 1 0 -0 -0 0 3 5 6 7 8 9 10 11 11 11 11 11 11 11 10 10 10 9 9 10 12 13 14 14 13 12 9 5 2 -1 -2 -2 -0 1 3 6 7 8 7 6 7 9 12 13 11 8 3 1 2 7 10 11 11 11 10 10 10 10 10 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 12 12 12 12 12 11 nan
nan 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 13 13 13 13 12 12 11 11 12 13 13 12 9 6 3 0 0 2 5 7 9 9 7 5 3 1 -1 -3 -5 -5 -3 -1 0 2 4 6 8 10 11 12 12 11 9 8 7 5 5 4 5 6 10 14 16 16 14 12 9 6 3 -1 -3 -3 -3 -1 2 4 5 4 3 3 5 9 14 13 11 6 2 3 6 9 10 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 8 8 8 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 10 9 9 9 10 10 10 11 11 11 12 12 12 11 12 12 13 13 14 14 14 13 13 13 13 12 12 12 12 13 14 14 13 13 13 12 11 11 11 11 12 14 15 16 16 15 13 9 4 -0 -2 -1 0 3 6 7 8 7 6 4 2 -2 -5 -7 -7 -7 -5 -4 -2 1 5 9 11 12 11 8 5 2 -1 -2 -2 -2 1 5 9 13 14 14 12 11 9 7 4 2 -0 -1 -1 1 3 4 3 2 1 2 6 11 13 13 10 7 7 8 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 nan
nan 8 8 8 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 9 10 10 10 10 10 9 9 9 9 9 10 10 11 12 12 11 10 9 9 9 9 10 10 10 11 12 13 13 12 12 12 13 14 14 14 13 12 12 11 11 12 11 11 11 11 11 12 12 12 12 11 11 10 10 10 11 12 13 14 15 17 19 20 20 17 11 6 2 -1 -1 1 4 6 8 9 9 8 5 3 0 -2 -4 -5 -5 -5 -4 -2 2 6 10 11 10 8 5 1 -2 -2 -2 0 3 6 9 10 11 11 11 10 8 7 6 4 3 2 3 4 5 4 4 3 3 5 7 9 10 10 10 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 11 11 11 11 10 10 10 10 11 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
151 182 209 206 125 61 33 25 22 21 22 23 22 19 16 15 16 12 8 11 22 36 55 83 131 207 296 357 427 558 696 778 821 850 870 882 891 894 878 825 722 627 720 814 861 869 853 823 809 793 792 806 814 830 884 850 804 762 710 710 778 853 863 789 521 277 139 81 44 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 1 1 2 4 5 2 7 24 39 38 24 8 1 0 0 0 0 1 1 0 0 0 0 0 0 1 1 1 1 2 3 4 4 4 4 5 4 4 3 2 2 0 0 0 0 0 0 2 4 10 12 12 12 12 11 8 6 2 0 0 0 0 0 0 0 0 0 0 1 4 6 10 11 11 10 9 8 6 6 5 4 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 0
29 53 105 187 202 151 97 60 42 34 30 30 30 29 26 23 19 15 10 9 14 27 49 86 143 230 313 359 419 552 705 802 830 830 841 833 828 832 830 798 742 740 798 857 892 894 868 827 854 833 829 839 862 899 938 922 877 798 719 708 771 835 796 609 328 135 50 25 9 0 0 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 6 8 7 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 3 3 4 4 5 5 5 4 2 1 1 1 0 0 0 0 0 0 0 1 4 7 10 11 11 10 6 3 1 0 0 0 0 1 0 0 0 0 0 2 6 8 10 10 9 7 5 3 4 3 4 4 4 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 11 43 115 208 212 164 112 75 54 41 35 34 38 42 39 31 20 13 10 10 19 46 103 192 292 350 373 420 545 708 827 850 811 820 800 778 765 767 780 786 792 831 888 938 951 921 883 894 863 851 851 863 888 921 966 955 890 792 724 711 706 607 389 192 73 22 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 1 2 1 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 4 4 4 4 5 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 8 6 3 1 0 0 1 1 1 0 0 0 0 0 0 2 7 9 10 10 8 6 3 1 1 1 2 3 3 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
11 19 43 92 183 230 208 157 108 74 52 39 35 40 47 49 43 31 19 14 12 19 62 162 288 373 417 432 470 566 696 802 833 794 812 824 809 789 783 793 818 858 912 970 1014 1007 955 939 918 886 858 837 822 822 856 950 995 1005 938 857 790 694 519 309 128 38 8 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 1 1 2 3 4 4 4 4 4 4 4 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 4 2 0 0 0 1 2 1 1 0 0 0 1 1 1 4 7 9 9 8 6 3 1 0 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
25 37 58 95 159 214 215 174 122 84 62 48 41 44 50 53 51 42 30 22 18 24 83 211 361 454 509 532 565 628 701 758 786 780 801 877 886 858 836 836 857 913 964 1015 1044 1020 962 939 921 896 868 833 805 795 814 911 995 1042 1042 1002 906 726 474 262 91 19 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 1 2 3 4 4 4 5 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 4 2 1 0 0 0 1 2 4 5 5 5 5 5 5 4 2 3 6 8 8 7 4 2 0 0 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
54 81 110 143 182 217 212 172 123 87 69 57 49 48 51 54 55 51 42 36 33 40 84 197 354 492 589 639 673 719 741 742 748 765 767 863 895 857 806 802 862 928 962 992 999 986 970 959 927 902 887 877 886 891 850 860 909 904 869 814 697 482 296 138 41 7 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 1 1 2 3 4 4 4 4 3 2 1 1 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 1 0 0 1 1 2 6 7 7 6 7 7 7 5 4 3 4 9 12 11 7 4 2 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
84 132 184 231 263 269 234 180 132 98 77 65 57 52 49 51 56 58 56 57 60 67 91 166 301 474 640 749 791 821 814 782 754 736 705 767 828 825 771 744 819 894 935 944 941 940 941 929 894 851 792 763 763 754 693 598 544 463 380 327 266 143 99 36 10 2 1 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 1 1 2 2 3 3 3 2 2 1 1 1 0 1 3 2 1 0 0 0 0 0 0 0 0 0 1 1 3 4 3 2 1 1 2 2 3 5 5 5 5 5 5 5 6 6 6 6 11 13 10 8 7 5 2 2 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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