Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 9 10 10 12 13 14 14 14 15 14 13 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 16 16 16 16 15 14 13 12 11 10 9 9 9 8 8 8 8 7 6 6 5 6 8 9 8 7 6 6 7 8 9 10 10 10 10 11 11 12 12 12 13 13 13 12 11 12 12 12 12 12 13 13 13 13 13 13 13 11 10 9 8 7 6 7 7 8 9 9 8 7 6 7 7 8 8 9 8 8 8 9 9 9 9 9 9 8 7 6 5 6 6 8 8 8 7 8 8 8 9 7 5 4 4 4 5 5 5 5 6 6 6 6 7 7 6 5 6 5 5 6 6 7 7 7 7 6 6 6 7 7 7 7 6 6 6 6 7 7 8 8 7 7 7 nan
nan 8 7 7 8 9 11 12 13 14 14 15 14 12 11 11 11 11 10 9 9 9 9 9 10 10 10 10 11 12 12 13 13 13 14 15 15 16 17 17 18 18 18 18 18 20 21 20 16 14 13 12 11 10 10 10 10 10 10 10 10 9 8 8 8 9 9 9 8 7 7 8 9 9 9 9 8 9 9 10 11 12 13 13 14 13 12 12 12 13 13 13 14 15 15 15 14 13 14 15 14 13 12 11 9 8 8 7 8 8 8 8 7 6 7 8 8 8 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 11 10 6 4 4 4 5 5 5 6 6 6 6 6 7 7 6 6 5 5 4 4 5 5 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 8 8 8 8 7 nan
nan 7 7 7 7 8 10 11 12 13 13 13 12 11 11 12 12 12 11 10 10 10 10 11 11 12 12 13 14 15 15 15 14 12 13 14 15 16 16 17 18 19 18 16 17 20 23 22 18 15 14 14 14 13 12 12 13 13 14 14 14 13 12 10 9 10 10 11 10 10 9 9 10 10 9 8 8 8 8 9 9 10 12 13 13 13 12 12 12 12 13 13 13 14 14 14 13 12 13 15 15 15 13 12 10 9 7 7 7 7 8 9 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 7 9 10 11 11 8 7 6 6 6 6 6 7 7 7 7 7 8 7 7 7 6 5 4 4 3 4 6 7 8 8 7 7 7 7 7 7 7 6 6 6 6 7 8 8 8 8 7 nan
nan 8 8 8 8 9 11 11 11 11 11 11 11 12 13 13 14 13 13 12 12 12 13 13 13 14 14 15 15 15 15 14 12 9 9 10 11 12 12 12 14 14 13 11 11 14 16 17 15 14 14 15 16 16 16 16 17 18 18 18 17 16 14 12 10 10 11 12 12 12 11 12 11 11 10 9 9 9 9 9 9 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 10 10 11 12 13 13 12 12 11 9 7 7 6 7 8 9 9 8 7 6 5 5 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 10 10 10 9 8 7 7 7 8 9 9 9 8 8 8 8 8 7 6 6 5 5 4 4 6 7 8 8 8 8 7 7 7 7 7 7 6 6 7 7 8 8 8 8 7 nan
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nan 9 10 11 12 12 11 10 9 10 10 11 12 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 10 10 9 9 9 8 6 4 3 2 1 1 1 3 3 2 2 3 4 5 5 5 8 14 19 22 20 18 17 17 17 16 16 16 16 15 14 13 12 12 13 13 12 10 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 10 10 9 9 9 10 10 10 10 11 12 12 11 10 9 8 8 9 12 13 11 10 8 7 6 6 7 9 9 8 7 7 6 6 5 5 4 4 4 5 6 7 7 7 8 8 9 9 10 11 12 12 11 10 9 9 9 9 10 9 9 8 8 8 9 8 7 5 4 4 6 7 8 8 8 8 8 8 8 7 7 7 6 6 6 7 8 8 8 8 8 8 7 nan
nan 9 11 12 12 11 10 9 9 10 11 12 12 13 12 12 11 11 11 11 11 10 10 9 9 9 9 8 7 6 5 5 6 6 4 3 1 1 1 0 0 1 1 1 1 2 3 4 6 7 12 18 22 22 18 15 13 13 13 14 14 15 16 16 15 14 12 11 10 9 9 8 8 8 8 8 7 6 6 6 6 6 6 7 8 9 9 9 9 9 9 8 9 9 10 10 10 9 9 9 10 10 11 11 11 12 11 11 10 9 11 13 15 14 12 11 10 8 8 8 8 8 7 7 7 7 8 8 8 7 6 6 7 8 7 7 8 8 8 8 9 10 11 11 12 12 11 11 10 10 9 9 9 8 8 8 9 9 8 7 5 4 5 6 8 9 9 9 8 8 8 8 8 7 7 6 5 4 5 7 8 8 8 8 8 8 nan
nan 10 11 12 11 10 9 9 9 10 11 12 12 12 12 11 10 10 10 9 9 9 9 8 7 7 6 5 4 4 4 4 3 3 3 2 2 2 2 2 2 1 0 0 1 3 5 6 9 12 17 22 24 23 18 12 9 9 9 10 10 11 12 12 12 11 9 7 5 4 5 7 8 8 7 6 6 6 5 5 4 4 5 6 8 9 9 9 9 8 8 8 8 9 10 11 10 9 9 9 9 10 11 12 12 12 12 12 11 11 11 12 14 14 14 12 10 9 8 7 6 7 7 8 8 9 10 10 11 10 10 10 10 9 8 8 8 8 7 8 9 9 9 10 10 12 12 12 11 10 10 9 8 9 9 9 9 9 8 7 5 6 7 9 10 10 10 9 8 8 8 8 8 8 8 8 6 5 5 6 7 8 8 9 9 8 nan
nan 11 11 11 10 8 8 9 10 11 11 12 12 12 11 10 9 9 9 9 9 9 8 8 7 6 5 4 4 4 4 4 4 3 3 2 2 2 3 4 5 5 3 2 3 4 5 7 10 15 20 24 25 24 19 12 8 6 5 5 6 7 7 7 7 6 5 4 2 3 5 6 7 7 7 6 7 6 6 5 5 5 6 7 8 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 9 10 11 12 12 12 12 12 11 10 10 10 12 14 14 12 9 8 7 6 7 7 8 9 9 9 10 10 10 10 10 11 10 9 8 7 8 7 7 7 8 8 8 8 9 11 12 12 12 11 11 10 9 9 9 9 9 9 8 8 8 9 9 10 10 10 9 8 8 8 8 8 8 9 9 8 8 7 7 7 8 8 9 9 8 8 nan
nan 12 12 11 9 8 8 10 11 11 11 11 11 10 9 9 9 9 9 9 8 8 8 7 7 6 6 5 5 5 5 5 4 3 2 2 1 1 1 3 6 8 8 7 5 4 4 6 10 15 19 22 24 22 18 14 10 7 4 3 4 5 5 4 4 5 4 4 4 5 6 7 8 8 7 7 7 7 6 6 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 8 8 9 12 12 11 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 9 10 11 11 12 12 12 11 10 10 10 10 10 10 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 8 8 8 8 nan
nan 14 13 11 10 9 10 12 12 12 11 10 9 8 8 9 9 9 9 9 8 8 7 7 7 6 6 6 6 6 6 5 3 1 1 0 0 1 1 2 4 7 9 10 8 5 4 6 11 15 18 20 20 18 16 12 9 7 5 5 6 6 7 7 7 6 6 6 7 7 7 9 9 9 8 7 6 6 6 7 8 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 8 9 9 9 8 8 8 7 7 6 7 7 8 9 9 9 9 9 8 8 7 8 8 8 8 7 7 7 6 6 6 7 8 9 9 10 10 11 11 10 9 10 10 11 11 10 10 10 11 10 9 8 8 8 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 nan
nan 15 14 12 11 11 13 14 13 12 11 9 8 8 8 9 9 9 9 9 8 7 7 7 7 7 7 6 6 5 4 3 1 1 0 1 2 2 3 3 3 4 7 9 9 7 6 7 10 14 16 17 16 14 10 7 5 5 6 8 8 9 9 10 10 9 8 8 9 9 10 12 12 11 9 7 6 6 7 8 8 8 6 6 6 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 7 5 5 5 7 8 9 9 9 9 10 10 9 7 7 8 9 9 9 8 8 7 6 6 6 7 7 8 8 9 10 10 9 9 9 10 10 10 10 9 10 10 9 8 8 8 9 9 9 10 10 10 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 nan
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nan 12 11 11 11 10 10 11 11 11 11 11 10 9 8 7 6 6 6 6 7 8 8 8 9 10 12 13 13 12 10 8 6 4 2 2 2 3 5 7 9 12 15 17 19 20 21 22 23 24 26 26 25 24 22 19 18 19 19 19 18 16 16 17 17 17 15 13 12 11 10 11 12 13 14 13 13 10 6 3 2 3 5 8 10 11 13 15 15 11 8 6 4 4 4 5 6 7 7 7 7 7 7 6 7 8 8 9 9 8 7 6 5 7 9 10 10 8 7 6 5 4 5 5 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 9 9 8 8 8 8 8 7 8 8 8 8 8 9 8 8 8 8 7 7 8 8 7 7 6 6 6 6 6 6 7 8 9 nan
nan 10 10 10 9 10 10 10 11 11 11 11 10 10 9 8 7 7 8 9 10 11 12 12 11 12 12 12 12 11 10 8 7 6 6 7 8 10 12 14 15 18 20 22 23 23 22 22 21 21 21 21 21 20 18 16 15 15 15 15 14 13 13 13 12 12 11 11 11 10 9 9 11 14 17 20 21 18 13 9 6 6 8 10 11 12 14 15 14 12 9 7 6 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 8 6 5 4 5 7 9 9 8 6 6 5 5 5 6 7 8 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 9 9 10 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 8 9 10 nan
nan 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 10 12 13 14 15 15 15 14 14 14 13 12 12 11 11 12 14 15 16 16 16 16 17 18 20 21 21 20 19 18 17 16 16 16 16 15 14 14 13 12 12 11 11 10 9 8 8 7 7 7 8 9 8 9 10 13 16 20 23 21 17 13 9 8 9 10 11 12 13 13 12 10 9 8 7 7 6 6 6 6 6 6 7 7 7 7 8 8 7 6 5 4 4 4 6 8 9 8 6 6 6 6 7 7 8 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 7 7 6 5 5 5 6 7 8 9 9 8 7 8 9 10 11 nan
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nan 9 9 9 9 10 10 10 10 9 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 12 12 12 11 11 11 11 10 10 10 9 9 10 10 10 10 10 9 9 9 9 8 8 7 6 5 4 3 3 3 3 2 2 2 3 5 6 5 4 4 4 4 6 7 7 6 4 4 5 7 8 9 10 10 9 8 8 8 8 8 8 8 8 8 7 7 7 6 6 5 5 5 5 6 7 7 8 9 10 10 10 10 10 11 12 13 13 13 12 11 11 10 10 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 4 4 4 4 5 6 7 8 9 9 9 8 7 7 6 7 8 8 9 9 10 9 9 9 9 8 7 5 4 5 6 8 8 8 7 6 6 7 8 9 9 nan
nan 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 10 10 9 9 9 9 10 10 10 9 9 9 9 8 8 7 7 6 5 4 4 5 5 6 6 6 7 8 9 10 9 9 9 9 9 10 11 11 9 8 9 10 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 7 8 7 7 6 5 4 4 5 6 7 8 10 10 11 12 12 12 12 12 13 13 12 11 10 8 8 8 8 7 7 6 6 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 5 5 5 4 5 6 7 8 9 9 9 8 8 8 7 8 8 8 8 8 8 8 8 7 7 7 6 5 4 4 5 7 7 7 7 7 7 7 8 8 9 9 nan
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nan 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 9 9 8 8 8 8 9 10 10 11 12 12 12 12 11 11 10 10 9 9 9 10 10 10 10 9 9 8 8 8 8 9 11 13 13 12 10 8 7 8 10 12 13 14 13 12 11 11 11 10 10 10 9 8 8 8 7 8 8 9 9 9 8 6 6 7 8 10 12 13 14 13 12 12 11 9 8 7 7 6 6 6 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 5 5 6 7 7 7 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 11 11 11 10 10 10 10 9 9 9 9 8 8 9 9 10 11 12 12 13 12 12 12 11 11 11 11 10 10 10 10 10 9 8 8 9 9 10 10 10 11 12 12 11 9 8 8 9 10 11 12 13 12 10 10 10 11 11 11 10 9 8 8 8 8 8 8 9 9 8 7 7 7 9 10 12 12 13 12 11 10 9 8 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 7 7 7 6 6 6 6 6 6 6 5 6 7 8 9 9 9 10 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 8 8 8 8 7 8 8 8 8 8 8 8 9 8 8 8 8 7 7 nan
nan 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 11 11 10 10 10 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 9 10 10 10 11 12 12 12 13 12 12 11 11 11 11 11 11 11 10 10 9 8 8 8 10 11 12 12 12 11 11 11 11 11 11 11 11 11 10 10 9 8 7 7 8 9 10 9 9 8 8 9 8 8 8 9 9 9 8 7 8 10 11 12 12 11 11 10 9 9 8 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 7 6 6 6 6 6 7 7 7 7 8 9 10 11 11 11 11 11 11 10 10 10 10 9 9 10 10 11 11 11 11 10 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 nan
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nan 12 12 12 12 11 11 11 11 10 10 10 10 10 9 9 9 9 8 8 7 6 6 7 8 9 10 11 11 12 13 13 13 14 14 15 16 16 16 15 14 12 10 9 9 9 9 10 11 12 13 13 13 13 12 12 11 11 11 11 10 10 9 9 9 9 9 10 10 11 11 11 10 8 7 8 8 9 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 9 10 12 15 17 16 13 11 10 9 9 9 10 11 12 12 11 11 12 12 12 11 11 10 10 10 11 12 13 15 14 13 11 10 9 8 7 7 8 9 10 12 14 16 15 14 12 10 10 10 9 9 9 9 9 9 8 8 9 9 nan
nan 12 12 12 11 11 11 10 10 10 10 10 9 9 9 9 8 8 7 7 6 6 7 8 10 11 12 13 13 14 14 14 13 13 13 13 15 15 14 13 12 10 9 8 8 9 10 11 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 10 9 9 8 8 8 9 10 10 9 9 9 9 9 10 10 9 9 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 9 8 8 7 8 8 8 8 8 10 13 16 18 16 13 12 11 10 9 10 11 12 12 12 11 10 11 13 13 12 10 10 11 12 13 14 15 16 15 13 11 9 8 7 7 7 9 10 11 12 14 14 14 13 11 10 10 10 9 9 8 8 8 8 8 8 8 9 nan
nan 13 13 12 12 11 11 11 10 10 10 9 9 9 9 8 8 8 7 7 7 7 8 9 11 13 14 15 15 14 14 13 12 11 10 11 12 12 12 11 10 8 8 8 8 9 11 12 12 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 11 10 9 8 8 8 8 8 7 8 10 14 18 18 16 14 12 11 10 10 10 10 11 12 12 10 10 11 12 12 11 9 9 11 12 13 15 16 17 16 14 12 10 9 8 8 9 10 11 12 13 14 13 13 12 11 10 10 9 9 8 8 7 7 8 8 8 8 9 nan
nan 13 13 13 12 12 11 11 10 10 9 9 9 8 8 8 8 7 7 7 7 8 10 11 13 14 15 15 14 14 12 11 9 8 8 8 9 9 9 9 8 6 6 6 7 9 11 12 13 13 12 11 10 10 10 10 10 10 10 10 9 9 10 10 11 12 12 11 10 9 9 8 8 8 8 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 10 9 9 8 8 9 11 12 12 10 8 7 8 8 7 6 6 9 14 18 18 16 14 13 12 11 10 10 10 11 12 12 11 11 11 10 10 9 9 10 11 12 14 15 16 16 15 14 12 10 9 9 9 10 12 13 14 14 14 13 12 11 10 10 10 10 9 8 8 7 7 8 8 8 9 9 nan
nan 12 12 12 12 11 11 10 10 9 9 8 8 8 8 8 7 7 7 8 9 10 11 13 14 15 15 14 13 12 10 9 8 7 7 7 7 7 7 6 6 5 4 4 5 6 10 12 13 12 12 11 11 10 11 11 11 11 10 9 9 10 10 11 12 12 12 11 10 9 8 8 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 10 9 9 9 9 9 10 10 10 11 11 10 9 8 8 8 9 11 13 13 13 11 8 7 7 6 6 5 5 9 13 17 18 17 15 13 12 11 10 10 10 12 13 12 12 11 10 10 9 9 10 11 12 13 14 15 14 14 12 11 10 9 9 8 9 11 13 15 15 15 14 13 12 11 10 10 11 10 10 8 8 7 7 7 7 8 8 9 nan
nan 11 11 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 10 12 13 14 15 14 13 12 11 10 9 8 7 6 6 5 5 5 5 5 5 4 4 3 3 5 9 11 12 12 12 11 11 11 11 11 11 10 9 8 9 10 11 12 12 12 11 10 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 10 9 7 6 6 8 10 12 13 14 14 12 8 6 5 5 4 3 5 9 13 16 18 18 17 15 13 11 11 11 11 12 12 12 11 10 10 10 9 10 11 12 13 13 13 12 12 11 9 7 6 6 6 7 9 12 14 15 16 15 15 14 12 11 10 10 11 11 10 9 7 6 6 6 6 6 6 8 nan
nan 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 11 13 14 14 13 13 12 11 10 10 9 7 6 6 5 5 5 5 5 5 4 4 4 4 5 7 10 12 12 12 12 12 11 11 11 10 10 9 9 9 10 11 11 11 11 10 10 9 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 12 12 11 9 7 5 3 4 7 9 11 11 12 13 12 8 6 4 3 2 3 6 10 13 17 19 19 18 16 13 12 12 12 12 11 11 10 10 10 10 10 10 10 11 12 12 11 11 10 9 9 7 5 4 4 5 7 10 12 14 15 15 14 14 13 12 11 11 11 11 11 10 8 6 5 5 5 4 4 7 10 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 13 12 12 11 11 10 10 10 9 8 7 6 5 5 5 6 6 5 4 3 4 5 7 9 12 13 13 13 13 12 12 11 10 9 9 9 9 9 10 10 10 11 11 10 10 9 8 8 7 8 8 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 11 10 8 5 2 3 5 8 9 9 10 12 11 7 5 3 2 3 5 8 11 14 17 19 19 18 15 13 12 13 13 11 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 8 7 5 4 4 6 8 10 12 14 14 13 12 12 12 12 12 12 12 12 12 10 7 5 4 4 4 5 8 11 13 nan
nan 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 11 10 9 9 9 9 9 9 8 8 7 6 6 5 5 6 5 4 4 4 5 8 11 13 15 15 14 13 13 12 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 7 8 9 10 9 9 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 11 12 13 13 12 12 11 10 7 4 4 5 7 8 8 8 9 8 6 4 3 2 4 7 9 12 14 16 18 18 17 13 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 8 9 8 7 5 4 5 6 8 10 11 12 12 11 10 10 11 13 14 14 14 13 11 8 6 4 3 3 5 9 13 15 16 nan
nan 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 8 8 8 9 9 9 9 8 8 7 6 5 5 5 4 3 3 3 4 7 10 13 15 15 15 14 13 12 11 10 10 9 9 10 10 9 9 9 9 9 9 10 11 11 10 10 9 7 8 8 9 9 9 8 7 7 8 9 9 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 8 9 9 9 9 10 11 12 13 13 13 12 11 10 9 6 5 6 9 11 10 8 6 5 6 6 4 3 4 7 10 12 14 15 15 15 13 10 9 9 8 9 11 12 12 11 10 10 11 11 11 11 11 11 10 9 8 8 9 8 6 4 4 5 7 9 10 10 10 9 8 8 9 12 15 16 17 16 11 8 5 4 3 4 6 9 12 15 16 16 nan
nan 8 9 9 10 11 11 10 10 10 9 9 9 8 8 9 9 10 10 10 8 7 7 8 9 10 10 10 9 8 7 6 5 5 5 5 4 3 3 3 5 9 12 14 15 15 14 13 13 12 10 10 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 8 7 8 8 9 9 9 8 7 7 8 8 9 9 10 10 10 10 10 9 9 9 8 8 8 7 7 7 7 8 8 9 9 10 10 12 13 14 13 12 10 9 8 6 6 7 10 13 11 8 5 4 6 7 6 3 3 6 10 12 13 13 13 13 10 8 7 7 8 11 15 16 14 12 12 12 12 12 11 11 11 11 9 9 9 10 10 9 5 3 3 5 8 10 10 10 9 7 7 9 11 14 16 18 18 15 9 5 3 2 4 7 10 13 15 18 18 18 nan
nan 9 9 10 10 11 11 11 10 10 9 9 8 8 8 8 9 10 10 9 8 8 8 9 11 11 11 10 9 8 6 6 6 6 7 7 7 6 5 6 7 10 13 14 15 14 13 13 12 11 10 9 9 9 10 10 9 9 9 10 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 9 9 9 9 8 8 8 7 6 7 7 7 8 8 9 9 10 12 13 12 11 10 8 7 7 7 8 11 12 11 9 6 5 7 7 5 2 2 6 10 12 12 12 12 11 10 8 7 8 10 15 18 18 16 14 14 14 13 12 12 11 11 10 9 9 10 10 9 7 3 2 3 6 10 11 11 10 9 9 9 10 13 15 16 15 14 10 6 3 2 3 7 10 12 15 19 21 21 20 nan
nan 10 10 10 10 11 11 11 11 10 9 8 8 8 8 8 9 9 9 8 8 8 9 11 12 13 12 11 10 8 7 7 7 8 9 9 9 9 8 8 9 11 13 15 15 14 13 12 11 11 10 9 9 10 10 10 10 10 10 10 11 10 10 10 10 10 9 9 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 9 9 9 9 9 9 8 8 7 7 6 6 6 7 7 8 8 9 10 11 11 11 10 9 8 8 8 9 11 12 11 10 7 6 6 5 3 2 5 8 11 12 12 12 12 11 9 8 8 9 13 16 17 17 16 15 15 14 13 12 11 11 10 9 8 8 7 7 5 2 1 1 5 9 12 12 12 11 11 11 11 12 14 14 13 10 6 3 2 2 3 6 9 12 14 18 22 23 22 19 nan
nan 11 11 11 11 11 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 10 11 12 13 13 12 11 9 8 8 8 8 9 10 10 10 9 9 10 12 13 14 14 13 11 11 10 10 9 9 9 10 10 10 10 9 9 10 11 10 10 10 10 9 8 8 9 10 10 10 10 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 7 6 6 6 7 7 8 8 8 9 10 10 10 9 9 8 8 9 11 11 11 10 8 6 4 2 2 5 10 12 13 13 13 12 11 9 8 8 9 11 13 14 15 16 17 17 15 13 12 11 10 10 9 8 6 5 4 4 3 3 3 5 9 12 14 14 13 13 13 13 14 16 16 14 12 7 4 2 2 3 6 9 11 14 17 22 24 23 21 17 nan
nan 10 10 10 10 10 10 9 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 10 11 12 12 12 10 9 8 8 8 9 10 10 10 10 9 10 11 12 13 13 13 11 10 9 9 9 9 10 10 10 10 9 8 8 8 9 10 10 9 9 9 9 8 8 9 10 11 11 10 8 7 7 7 8 8 9 8 8 9 9 9 10 10 10 10 10 9 8 8 9 9 9 7 6 6 7 7 8 8 8 8 8 9 9 9 8 8 9 9 10 11 11 10 9 8 6 4 2 2 8 12 14 14 14 13 12 10 9 8 9 10 11 12 12 14 16 18 19 16 14 12 10 9 8 6 5 3 3 3 5 7 9 11 12 13 15 15 16 16 15 16 17 18 19 18 16 13 10 7 5 5 6 8 10 13 17 20 23 22 20 17 14 nan
nan 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 10 11 11 11 11 12 12 13 13 13 12 11 10 9 8 9 9 10 10 10 10 9 8 8 7 7 8 9 9 10 9 9 9 9 9 9 10 11 11 10 9 8 7 6 7 8 8 8 8 8 9 9 10 10 10 10 10 9 8 8 8 9 9 8 7 7 7 8 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 9 9 8 7 6 4 5 10 13 14 15 16 15 12 10 8 9 10 11 11 11 11 12 16 19 19 17 14 11 8 6 5 4 4 4 6 9 12 15 16 16 15 15 16 18 18 18 17 18 19 19 18 17 16 14 11 9 7 6 8 10 13 16 19 21 20 17 14 13 12 nan
nan 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 9 11 12 13 14 14 15 15 14 14 13 12 11 9 8 9 9 10 11 11 10 10 9 8 8 7 7 8 9 10 10 10 9 9 10 10 10 10 11 11 11 10 9 8 7 7 7 7 8 8 8 9 9 9 10 9 9 9 9 8 8 7 7 7 7 6 6 6 7 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 8 7 9 10 12 13 15 16 14 12 9 9 10 11 11 11 11 11 12 15 17 18 17 14 9 5 5 5 7 8 11 13 17 20 20 18 17 17 18 19 20 19 18 18 18 17 16 14 12 11 10 8 7 6 7 10 13 16 19 19 18 15 13 11 10 10 nan
nan 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 9 8 8 8 8 8 7 7 7 8 8 8 8 9 11 12 13 14 15 16 16 16 15 15 13 12 10 9 9 9 10 11 11 11 10 10 9 9 8 8 8 9 10 10 10 9 9 9 9 10 10 10 10 11 11 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 7 6 6 6 5 4 4 6 8 9 9 9 9 9 10 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 12 14 14 12 10 9 11 13 13 12 11 11 11 13 15 16 17 17 14 9 8 9 11 14 15 17 20 22 22 19 16 16 17 19 19 18 16 15 14 13 12 10 9 8 8 7 6 7 9 12 15 17 18 18 17 14 12 11 10 10 10 nan
nan 7 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 11 11 10 10 11 12 14 15 15 15 15 16 16 17 16 14 12 10 9 9 10 11 11 11 10 10 10 9 9 9 9 10 10 10 10 9 9 8 8 9 9 10 10 10 10 10 10 9 8 8 9 9 9 9 8 9 9 9 10 10 10 10 9 9 9 9 8 7 7 6 5 3 2 4 6 8 9 9 9 9 8 9 9 10 10 10 11 11 10 10 10 10 10 10 11 11 10 11 11 12 12 11 10 11 13 14 14 12 11 11 13 15 17 18 19 18 14 12 12 13 15 17 18 19 20 20 17 14 12 13 14 15 15 13 11 11 10 9 8 8 9 9 9 10 10 12 14 17 18 18 18 16 13 12 11 10 10 10 10 nan
nan 7 7 8 8 9 10 11 11 11 10 9 9 8 8 8 8 8 8 8 8 8 9 9 10 11 13 13 13 12 12 12 13 14 14 13 13 14 16 18 17 16 14 12 10 9 9 10 10 10 10 9 9 9 10 10 10 10 11 11 10 9 9 8 8 8 8 8 9 9 10 10 10 10 9 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 6 4 2 3 5 7 9 10 9 8 8 8 9 9 10 10 10 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 13 13 13 11 11 12 14 16 18 18 17 15 14 14 14 14 15 15 15 16 15 14 11 9 9 10 12 13 13 12 11 11 10 10 10 11 11 12 12 12 14 15 16 17 17 17 15 13 12 11 10 10 11 10 10 nan
nan 7 8 8 9 10 10 11 11 11 10 9 8 8 8 8 8 8 8 9 9 9 10 11 12 13 14 14 14 14 13 13 12 12 11 11 13 15 18 18 16 15 13 12 10 9 8 9 9 10 10 10 9 10 10 10 11 11 11 11 10 9 8 8 8 8 8 8 8 8 9 10 10 9 9 8 9 9 10 10 9 9 10 10 10 10 10 11 11 11 11 10 10 10 10 10 9 8 5 3 3 4 7 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 11 11 10 10 11 13 14 15 14 13 12 12 12 12 12 12 12 12 11 11 10 10 10 11 12 14 15 16 16 16 15 14 14 14 14 14 13 12 12 13 13 14 14 15 14 13 12 11 10 10 11 10 10 10 nan
nan 9 10 10 10 10 10 10 10 9 8 7 7 7 7 7 8 8 9 10 11 11 12 12 13 13 13 13 13 13 13 12 11 11 11 12 14 17 18 17 15 14 12 11 10 9 8 9 9 10 10 10 10 10 10 10 11 11 11 10 10 9 9 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 8 6 4 3 4 6 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 10 10 10 11 11 11 11 12 12 12 11 10 10 9 9 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 10 10 11 12 13 15 15 16 16 16 16 17 16 16 15 14 13 12 11 11 11 11 11 11 12 13 13 13 12 11 11 11 11 10 10 8 nan
nan 11 11 11 10 10 10 9 9 8 7 7 7 7 7 7 8 10 11 12 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 12 14 17 17 16 15 13 12 10 9 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 10 10 10 9 9 9 10 10 10 11 11 11 10 10 11 11 11 11 11 11 11 10 9 6 4 4 5 6 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 8 8 9 11 12 12 11 11 10 10 9 9 10 10 11 11 11 11 10 10 10 10 10 11 11 12 11 11 11 12 13 13 14 14 14 14 14 14 13 13 13 13 12 11 11 11 11 11 11 11 11 12 12 13 13 12 11 11 11 11 11 10 8 nan
nan 11 11 11 10 10 9 8 8 7 7 6 7 7 7 8 9 11 12 13 14 13 13 12 11 11 11 11 11 11 11 11 11 10 10 10 12 15 17 16 15 13 11 10 9 10 10 11 12 13 12 11 11 11 11 11 11 10 10 9 8 8 9 10 9 9 8 7 7 7 8 8 9 9 10 10 10 10 10 9 9 9 10 10 11 11 11 11 10 9 9 10 10 11 12 12 11 10 7 5 4 5 7 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 7 6 5 4 5 7 9 11 11 11 11 10 9 9 9 9 10 11 11 11 10 8 7 8 10 11 13 13 13 12 12 12 12 12 12 12 11 11 12 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 12 13 13 13 12 11 11 11 11 10 9 nan
nan 10 11 11 10 9 8 8 7 7 7 7 7 7 8 9 11 12 13 14 13 12 11 11 10 10 11 12 12 13 12 12 12 11 10 10 11 13 15 16 15 13 11 10 10 10 11 12 13 13 13 13 12 12 11 11 10 10 9 9 8 8 9 10 11 10 10 9 8 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 11 12 12 11 10 9 9 10 11 11 12 11 10 8 5 5 6 7 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 6 4 2 2 3 6 8 10 11 11 10 10 9 8 7 6 6 8 10 10 9 7 5 5 9 12 15 15 14 13 12 11 11 11 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 12 13 13 13 12 11 11 11 11 11 10 nan
nan 10 10 10 9 8 8 7 7 7 7 8 8 8 9 10 12 13 13 13 12 11 11 10 11 11 12 12 13 14 14 14 13 12 11 11 11 12 13 14 15 14 12 11 11 11 11 12 12 13 13 13 13 12 10 9 9 9 9 8 8 8 9 10 11 11 11 10 9 10 9 9 8 8 8 9 10 12 12 13 13 13 14 14 13 13 13 13 13 12 12 11 11 11 11 11 10 9 6 4 5 6 8 9 10 10 10 10 9 9 7 7 7 8 8 8 7 6 5 3 1 0 1 5 8 11 12 13 13 12 10 9 6 3 3 4 6 7 7 6 4 3 7 12 17 19 16 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 11 11 11 11 12 13 13 13 12 11 11 11 11 10 10 nan
nan 10 9 9 8 8 8 7 8 8 9 9 9 9 10 11 12 13 13 12 12 11 11 11 12 12 12 13 13 14 14 14 14 14 13 12 12 12 12 13 14 14 13 13 13 12 12 11 11 12 12 12 12 11 9 8 8 8 8 8 7 7 8 10 11 11 11 10 11 11 10 10 9 8 8 9 10 12 12 12 13 15 17 18 18 16 15 14 14 14 13 13 13 13 12 10 8 5 1 1 3 5 7 9 10 11 11 10 10 9 8 6 5 5 4 4 3 1 0 -1 -0 1 4 8 10 12 13 14 15 15 13 11 8 5 4 5 6 7 6 5 4 7 14 20 23 20 15 12 11 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 11 11 12 12 12 12 12 12 11 11 11 10 nan
nan 9 8 8 7 7 7 7 8 9 10 10 9 9 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 14 13 13 13 13 13 13 14 14 14 14 14 14 13 12 11 11 11 11 11 10 9 9 8 8 7 7 7 7 8 9 10 10 11 11 11 11 11 10 10 9 9 8 9 9 10 10 10 12 14 17 18 18 17 16 15 14 14 14 14 13 11 10 7 3 -0 -0 2 4 6 8 9 10 10 10 10 10 9 7 5 3 2 0 -0 -1 -0 1 3 5 8 9 10 11 12 14 15 15 15 13 11 10 9 9 9 9 8 8 10 16 22 26 25 18 14 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 10 nan
nan 7 7 7 6 6 6 7 7 8 9 9 9 9 10 10 11 11 11 11 12 12 12 13 12 12 11 11 11 11 12 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 13 11 11 11 11 11 10 10 9 9 8 8 8 7 7 8 8 9 9 10 10 11 11 11 11 11 11 11 10 10 9 8 8 8 8 8 9 10 12 14 15 16 15 14 13 13 12 12 11 10 8 5 4 4 5 6 8 9 9 10 9 9 10 10 10 9 8 6 4 3 3 3 4 6 7 8 9 10 10 11 12 13 14 14 14 14 13 12 11 10 10 10 11 12 16 20 23 24 21 16 12 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
0 1 3 6 33 145 417 622 724 796 824 852 949 1019 1106 1158 1198 1313 1334 1448 1524 1597 1663 1714 1752 1801 1823 1844 1850 1847 1842 1839 1837 1822 1805 1797 1793 1785 1761 1703 1602 1512 1464 1457 1470 1483 1491 1493 1471 1458 1453 1461 1486 1522 1552 1566 1568 1564 1555 1546 1539 1531 1499 1207 841 559 416 367 326 252 222 135 70 26 10 15 21 28 29 33 49 84 118 120 78 37 10 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 1 1 2 2 1 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 4 67 241 424 573 687 769 830 939 993 1079 1130 1175 1291 1352 1448 1531 1601 1670 1722 1759 1824 1857 1881 1890 1888 1880 1869 1854 1831 1809 1803 1797 1774 1722 1635 1529 1461 1440 1459 1491 1518 1535 1544 1510 1499 1487 1485 1501 1533 1567 1590 1602 1603 1593 1581 1571 1556 1500 1109 669 341 163 90 58 33 52 32 15 5 0 0 0 0 0 1 1 5 9 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 2 2 3 2 2 2 1 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 1 8 55 170 325 485 627 746 849 949 984 1057 1105 1160 1279 1379 1481 1584 1651 1708 1754 1798 1866 1899 1918 1910 1896 1882 1862 1826 1781 1728 1688 1638 1562 1464 1360 1277 1241 1248 1288 1348 1411 1460 1473 1396 1372 1383 1424 1479 1527 1555 1579 1603 1618 1623 1625 1624 1591 1435 967 486 184 49 27 47 25 15 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 1 1 1 1 1 1 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 14 73 187 340 507 665 797 900 958 976 1037 1088 1158 1284 1418 1522 1637 1698 1756 1818 1869 1896 1861 1845 1805 1758 1733 1714 1656 1570 1444 1330 1209 1079 951 843 781 771 794 826 859 878 870 843 794 830 966 1178 1389 1526 1572 1581 1600 1624 1651 1673 1649 1499 1132 653 278 84 16 18 42 22 9 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 1 2 2 1 1 2 1 1 1 1 1 1 2 4 4 3 1 1 1 1 1 1 1 1 1 1 1 2 2 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 15 79 222 406 601 763 866 920 945 955 1020 1095 1182 1305 1453 1555 1695 1760 1801 1798 1760 1712 1586 1511 1464 1409 1373 1341 1261 1133 931 768 626 498 386 299 254 261 285 294 271 210 127 74 124 242 470 782 1092 1330 1480 1517 1524 1533 1552 1512 1326 974 599 282 100 24 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 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 0 1 1 1 1 1 1 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 1 13 69 239 473 700 847 901 920 942 966 1039 1140 1246 1360 1473 1492 1505 1435 1371 1303 1240 1198 1101 1012 981 940 884 811 709 575 400 279 194 130 80 44 27 32 40 41 31 17 8 8 25 64 157 308 505 753 1030 1077 1077 1067 1044 930 679 363 214 87 26 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 1 1 0 1 1 2 2 2 2 3 3 3 2 1 1 1 0 0 0 0 0 1 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 16 71 263 537 756 873 910 928 966 1022 1110 1223 1303 1332 1308 1172 1076 965 873 795 735 694 639 574 535 485 412 324 236 161 93 52 28 15 7 2 0 0 2 1 0 0 0 1 1 5 17 46 111 236 401 375 378 381 361 300 195 77 33 9 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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 3 3 3 3 3 2 1 1 1 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
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