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 9 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 8 8 9 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 6 6 5 5 6 6 6 6 7 7 6 7 8 8 9 10 10 10 10 9 9 9 8 9 9 9 10 11 12 13 14 16 17 17 16 15 13 12 10 9 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 10 10 10 10 10 10 10 9 9 10 10 10 9 nan
nan 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 10 10 10 11 11 11 11 10 10 9 8 8 8 8 8 8 9 9 9 8 8 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 8 9 9 9 9 8 8 9 10 10 10 9 9 8 8 9 9 9 9 10 11 12 14 15 17 17 16 13 11 9 8 7 6 6 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 nan
nan 9 9 9 9 8 8 8 8 7 8 8 8 7 7 7 7 7 7 7 8 8 9 10 10 10 10 10 10 10 9 9 8 8 8 7 7 8 8 8 8 8 8 7 7 7 6 6 6 5 5 6 6 6 7 8 8 9 8 8 9 10 11 12 12 10 10 10 11 11 10 10 9 9 9 9 9 9 9 10 12 13 14 16 16 16 14 11 9 7 7 7 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 nan
nan 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 8 9 9 9 8 8 9 10 11 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 10 11 12 14 15 16 15 14 12 9 7 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 9 10 10 10 9 9 nan
nan 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 7 6 6 6 6 5 6 6 6 7 6 6 6 7 7 8 9 9 10 9 9 8 8 10 11 11 12 12 13 13 12 11 10 10 9 9 9 9 9 9 10 11 12 13 14 15 15 14 12 10 8 6 6 6 7 7 8 8 7 7 7 7 7 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 10 10 11 10 10 9 nan
nan 9 10 10 10 9 9 8 8 8 7 7 7 7 8 8 8 8 9 9 9 10 10 10 10 9 9 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 7 7 8 9 10 11 11 10 9 9 11 11 11 11 12 12 12 12 11 10 10 9 9 9 9 9 9 10 10 11 12 13 14 14 14 13 10 8 6 5 5 6 6 6 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 10 10 10 9 9 10 10 10 10 10 7 nan
nan 10 10 10 9 9 9 8 8 8 7 7 7 7 8 8 8 9 9 9 9 10 10 9 9 9 8 8 7 7 7 7 6 6 6 6 6 6 6 6 7 7 8 8 7 7 6 6 7 8 9 10 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 10 10 11 12 13 14 14 14 13 12 9 7 5 5 5 5 6 6 7 8 9 10 11 11 11 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 8 1 nan
nan 10 10 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 10 10 9 9 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 8 8 8 7 7 7 7 9 10 11 11 11 11 11 11 12 13 13 13 13 12 12 11 11 10 10 9 9 9 9 9 9 9 10 10 11 11 12 13 13 14 14 13 11 8 6 4 4 5 7 8 8 9 9 9 9 10 10 11 11 10 10 9 8 8 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 4 -3 nan
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nan 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 10 11 11 10 9 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 9 10 11 11 10 10 10 11 11 11 10 11 12 13 13 13 12 11 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 12 12 13 14 13 11 8 6 5 5 7 8 9 9 9 8 7 6 4 3 2 3 5 7 9 10 10 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 nan
nan 9 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 10 10 10 11 10 10 9 8 8 8 8 8 9 10 10 11 11 12 12 12 11 11 11 11 11 12 12 12 12 12 12 11 10 10 10 10 12 12 11 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 11 11 11 12 13 13 13 12 11 9 8 7 7 8 8 8 8 8 7 5 4 2 1 1 1 2 5 8 10 10 9 9 9 9 10 10 9 9 10 10 10 10 9 9 9 9 10 9 10 10 10 11 10 10 10 11 13 nan
nan 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 8 8 8 9 10 11 12 13 13 14 14 15 15 15 14 14 13 12 11 10 10 10 11 10 10 9 9 9 10 9 9 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 11 11 12 13 14 14 13 11 10 9 8 7 7 8 8 8 7 5 4 3 2 1 -0 0 2 5 8 10 10 9 9 10 10 10 9 9 10 10 10 9 9 9 9 10 10 9 9 10 11 11 11 10 11 11 11 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 9 9 8 8 9 9 10 11 11 12 13 13 13 14 14 13 13 12 11 10 9 8 7 7 7 7 8 8 8 9 9 9 7 6 6 7 8 10 11 11 11 10 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 11 12 13 14 14 13 12 10 9 8 7 7 8 9 8 7 5 4 3 2 1 1 1 2 4 7 10 11 10 10 10 10 10 10 9 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 nan
nan 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 11 11 11 11 11 10 10 9 8 7 7 6 6 5 5 5 5 6 7 8 9 9 9 8 7 7 7 9 11 13 13 12 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 10 10 10 11 12 13 14 14 13 11 10 9 8 8 8 8 9 8 7 5 4 3 2 2 2 2 2 3 6 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 7 6 6 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 9 9 10 10 10 9 9 8 8 7 7 6 6 6 5 5 5 5 5 6 6 7 8 9 9 9 9 8 9 9 11 13 14 13 12 11 9 9 9 9 9 9 10 10 10 10 11 10 10 9 9 9 10 10 11 11 12 12 13 13 12 11 10 9 8 8 8 9 9 8 7 5 4 3 3 3 3 3 3 3 5 8 10 11 11 11 10 10 10 10 11 11 10 10 10 9 9 10 8 6 5 5 6 6 6 6 6 6 7 nan
nan 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 7 7 6 6 6 6 6 5 5 5 5 5 6 6 7 9 10 9 10 10 10 10 11 13 14 14 13 12 10 9 9 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 12 12 13 13 12 11 10 8 7 7 8 9 9 7 5 4 4 3 3 3 4 4 3 4 6 9 10 10 10 10 9 9 10 11 11 10 9 9 9 9 9 7 6 6 7 7 8 8 7 7 8 8 nan
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nan 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 6 6 6 6 6 5 5 4 4 4 5 5 7 8 10 12 12 12 13 14 15 15 15 14 13 11 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 9 9 9 9 10 10 10 10 11 11 12 13 14 14 13 12 11 10 10 11 10 9 8 6 5 4 4 4 5 5 5 6 10 14 14 12 10 8 9 10 11 11 10 10 10 10 9 9 9 9 9 9 9 10 11 12 13 12 11 10 nan
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nan 7 7 7 7 8 9 9 9 9 9 9 8 8 7 7 8 8 9 9 8 8 8 7 7 6 6 6 6 5 4 4 3 3 3 4 6 8 9 10 11 11 11 11 11 12 13 13 13 13 12 11 10 10 10 10 10 9 9 8 8 8 8 9 9 10 10 10 9 9 9 9 9 8 8 8 9 10 10 9 9 9 9 9 9 10 11 13 14 15 16 17 17 16 14 10 8 6 5 5 4 5 5 7 10 14 16 16 14 12 11 11 11 10 10 9 9 8 8 9 9 9 10 9 9 10 10 10 10 8 7 6 7 7 nan
nan 7 7 8 8 9 9 9 9 8 8 8 8 7 7 7 8 9 9 9 8 8 7 6 6 5 4 4 4 4 4 3 4 5 6 8 10 11 11 11 11 10 11 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 9 9 8 8 8 9 10 10 11 10 9 9 9 8 8 8 8 8 10 10 11 10 10 9 9 8 8 9 10 11 14 16 17 17 17 15 13 10 7 6 5 4 4 5 6 8 11 14 14 13 12 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 8 7 6 7 8 nan
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nan 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 5 5 4 4 4 3 3 4 5 6 8 9 10 11 12 12 12 11 11 10 10 11 12 13 14 15 15 13 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 9 10 11 12 14 16 17 17 15 13 10 7 5 5 4 4 4 5 7 9 11 11 11 10 9 8 9 11 12 12 11 10 10 10 9 9 9 9 8 9 10 10 8 6 2 0 1 3 6 8 nan
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nan 7 7 6 6 5 5 6 6 6 5 5 5 4 4 4 3 3 4 4 5 6 7 8 10 11 12 13 13 12 12 11 10 10 10 10 12 13 14 15 15 14 13 12 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 8 8 9 9 9 10 10 10 10 11 11 10 10 10 10 10 11 10 9 9 9 9 9 9 10 10 11 13 15 17 18 17 16 14 12 10 7 6 5 4 4 5 6 9 12 12 12 10 10 10 11 11 11 9 8 8 8 9 10 10 8 7 7 9 10 10 9 9 10 11 11 11 11 11 nan
nan 6 5 4 4 4 4 5 5 5 4 4 3 3 3 4 4 5 6 6 7 8 9 10 11 12 12 11 11 10 10 9 10 10 12 13 14 15 14 14 13 12 11 11 11 11 11 11 11 11 11 10 10 10 9 9 8 8 8 8 9 9 9 9 10 10 10 10 9 9 10 10 10 9 9 10 10 10 9 9 9 10 10 10 10 11 12 14 16 18 17 17 15 14 13 11 9 7 5 4 4 5 6 9 11 12 12 10 9 10 11 11 9 8 8 8 10 11 11 9 8 8 10 11 11 10 11 13 15 16 15 15 14 12 nan
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nan 3 3 3 4 4 5 5 5 5 5 6 7 7 8 9 9 9 10 11 12 12 12 12 12 11 10 9 9 9 10 12 14 15 15 14 13 12 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 9 8 8 8 8 8 9 9 9 10 10 11 11 10 9 8 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 12 12 13 15 15 15 14 14 15 16 16 15 12 9 7 6 6 6 6 8 9 9 9 9 10 11 11 11 10 10 10 11 12 12 11 11 11 11 10 10 11 12 14 14 15 17 18 18 16 nan
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nan 9 10 10 10 10 11 11 11 11 10 10 10 9 9 9 10 11 12 13 13 13 14 15 16 16 16 14 13 11 11 10 10 10 10 10 9 9 10 10 9 9 9 9 9 8 8 8 9 10 11 11 11 11 10 9 9 9 10 10 10 9 9 9 9 9 10 10 10 11 11 12 13 13 13 12 12 12 12 12 11 10 8 7 7 6 6 6 7 8 8 8 8 8 9 9 9 9 9 8 6 3 2 2 2 3 5 7 9 10 10 11 11 11 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 8 7 4 nan
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nan 9 9 9 9 9 9 10 10 10 11 11 12 12 13 13 13 13 13 13 14 14 14 13 12 11 10 9 9 9 9 10 10 11 11 11 11 12 12 13 13 13 13 12 12 13 14 14 15 13 11 9 7 6 5 5 5 5 4 5 6 7 8 10 11 12 11 9 7 6 4 4 3 4 5 5 6 7 8 9 10 10 10 9 7 5 5 7 9 11 12 11 11 10 10 9 10 11 11 11 12 12 14 15 16 16 16 17 18 18 18 18 17 16 17 18 20 23 26 27 24 18 14 12 11 11 11 11 11 11 10 10 10 11 nan
nan 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 13 13 13 14 15 15 15 14 12 11 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 15 16 15 14 13 11 9 7 6 6 5 5 5 5 5 5 5 6 7 8 7 6 6 5 5 4 4 4 5 6 7 8 9 10 11 11 11 10 7 5 4 5 7 10 12 12 12 10 9 9 10 11 11 12 12 13 14 15 15 15 16 16 17 17 16 16 15 14 15 16 19 22 24 24 21 16 14 12 11 11 11 10 10 10 10 10 10 10 nan
nan 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 12 11 12 13 14 15 14 13 12 11 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 14 15 15 16 16 15 13 11 9 8 7 6 5 5 6 6 6 7 7 8 7 7 6 6 5 5 5 5 5 5 6 7 8 9 10 11 12 12 11 10 9 6 4 4 6 7 7 7 5 5 8 10 11 11 12 12 14 15 15 15 15 15 16 16 16 16 15 13 12 13 15 18 20 22 21 18 15 13 11 10 10 10 10 10 10 10 10 10 10 nan
nan 9 9 9 9 9 9 10 10 11 11 11 12 12 12 11 11 11 10 11 12 12 13 13 12 11 10 10 10 11 11 12 13 12 12 12 12 12 12 13 13 13 13 13 13 13 13 14 15 16 16 16 14 12 10 9 8 6 7 7 8 9 10 11 11 10 10 9 8 7 6 6 6 6 7 7 8 9 9 10 11 12 13 13 14 13 11 7 4 2 2 2 2 3 6 9 11 12 11 12 13 14 14 15 15 15 15 16 16 17 17 14 11 11 11 15 18 20 19 17 14 12 11 10 10 10 10 10 10 10 10 10 10 10 nan
nan 9 9 9 9 9 10 10 10 11 11 11 11 12 11 11 11 10 10 10 10 11 11 11 11 10 10 10 11 11 12 12 12 12 12 11 11 11 12 12 13 13 13 12 12 12 12 12 13 15 16 17 16 15 13 12 10 9 9 9 10 12 13 13 14 14 13 13 13 12 11 10 10 10 10 10 10 11 11 11 12 13 14 15 15 15 13 10 7 5 4 4 6 8 10 11 12 11 11 12 13 13 14 14 14 14 15 16 17 18 18 15 11 10 10 15 19 19 18 14 12 10 10 10 9 9 10 10 10 10 10 10 10 10 nan
nan 9 9 9 9 9 10 10 10 11 11 11 12 12 12 11 11 10 9 9 9 9 9 10 10 10 10 10 10 11 12 12 12 12 12 11 11 11 11 11 12 12 12 11 11 10 11 11 12 14 15 16 16 15 14 13 12 11 11 12 13 14 15 15 15 15 15 15 16 16 16 15 15 15 14 14 13 13 13 13 14 15 16 16 15 13 12 11 11 11 11 11 12 12 12 12 11 10 11 12 12 13 14 14 14 14 14 16 18 20 19 15 11 8 9 14 18 18 16 13 11 10 10 10 9 9 9 10 10 10 10 10 10 10 nan
nan 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 11 10 10 9 9 9 8 8 9 9 9 10 10 11 12 12 12 12 12 12 11 11 11 10 11 11 11 11 10 10 10 11 12 13 14 14 15 14 13 12 12 12 12 13 14 14 15 15 15 15 15 15 17 18 18 18 18 18 17 16 15 14 13 14 15 16 16 15 13 11 10 11 11 13 14 14 14 13 12 11 10 10 10 11 12 13 14 14 14 14 15 17 20 21 19 15 11 8 8 12 14 15 14 12 11 10 10 10 10 9 9 9 10 10 10 10 10 10 nan
nan 9 9 9 9 9 10 10 11 11 12 12 12 13 13 12 12 11 11 10 10 9 9 8 8 8 9 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 13 12 12 11 11 11 11 12 13 14 14 14 13 13 13 14 15 16 16 17 16 16 16 16 15 14 12 13 13 15 15 14 11 9 9 10 11 12 13 13 13 12 11 10 9 9 9 10 11 12 13 13 14 14 16 19 21 21 20 16 12 9 8 10 11 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 9 9 9 9 10 10 10 11 12 12 12 13 13 13 13 13 12 12 12 11 10 10 9 9 9 9 9 9 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 13 12 12 11 11 10 11 11 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 13 13 12 11 10 11 12 12 12 10 8 8 8 10 12 12 12 12 11 11 10 9 8 9 9 10 11 12 13 14 15 18 20 22 21 19 15 12 10 9 9 9 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 9 9 9 9 10 10 11 11 12 12 12 13 13 13 13 13 12 12 12 12 11 11 10 10 10 10 10 9 8 8 9 10 11 11 11 11 10 10 10 11 11 11 11 10 10 11 11 12 12 13 13 13 12 12 11 10 10 10 11 11 11 11 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 9 8 8 9 10 10 9 7 7 8 10 11 12 12 12 11 11 10 9 9 8 9 9 10 11 12 14 17 20 21 21 19 16 12 11 10 9 9 9 9 10 10 10 11 10 11 11 10 10 10 10 10 10 10 10 10 nan
nan 9 9 9 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 9 8 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 12 12 11 10 10 10 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 7 8 9 10 9 8 7 8 10 11 12 12 12 12 11 11 10 9 9 9 9 10 11 12 15 18 21 21 20 16 13 11 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 nan
nan 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 9 9 10 10 11 11 12 11 11 11 10 10 10 10 10 10 10 11 11 12 12 13 13 12 12 11 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 9 10 10 10 9 8 9 10 11 12 11 11 12 12 11 10 10 10 10 10 10 11 12 15 19 20 19 17 13 11 10 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 11 nan
nan 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 10 10 10 10 10 10 10 10 11 12 12 11 11 10 10 10 10 10 10 10 11 11 12 13 13 13 13 12 11 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 10 8 8 8 9 10 10 10 10 11 12 12 11 10 10 10 11 12 12 13 15 18 18 16 14 11 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 nan
nan 9 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 12 12 12 11 10 9 9 9 9 9 9 9 11 12 12 12 12 11 10 9 9 10 11 11 12 12 12 13 13 13 13 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 10 10 9 8 8 9 9 9 10 10 10 9 8 8 8 10 10 9 8 9 10 11 11 11 10 10 9 11 12 12 13 15 16 16 14 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 nan
nan 10 10 10 11 11 11 11 11 10 9 9 8 8 8 8 9 9 9 9 9 9 10 11 12 12 11 9 9 8 8 7 8 9 10 11 12 12 13 13 12 10 10 9 10 11 12 13 13 12 12 12 13 13 12 12 12 12 11 11 10 10 10 10 10 9 9 9 8 8 9 9 10 11 10 10 8 8 8 8 8 9 10 10 9 9 9 10 11 10 9 8 8 9 10 11 11 10 9 9 10 11 12 13 14 14 13 12 11 11 11 11 10 10 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 nan
nan 10 11 11 11 12 12 12 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 8 7 7 6 6 8 9 10 10 11 12 13 13 12 11 10 10 10 11 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 9 9 8 8 8 8 9 10 10 10 9 8 8 7 8 8 9 10 10 10 10 11 11 10 9 8 8 9 10 11 11 10 9 9 9 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 10 10 10 10 11 10 10 nan
nan 11 11 11 12 12 12 12 12 11 10 10 9 8 8 7 7 7 7 7 6 6 6 6 7 7 7 6 5 5 6 7 9 10 10 9 9 11 12 13 13 11 11 10 10 10 12 13 13 14 14 13 13 12 12 12 12 12 13 13 12 12 11 11 11 11 10 9 8 8 8 8 9 10 10 10 9 8 8 8 8 8 9 9 10 10 11 11 10 9 9 8 9 10 10 11 10 10 10 10 10 10 10 10 10 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 nan
nan 11 11 11 12 12 12 12 12 12 12 11 10 10 9 7 7 6 6 5 5 5 5 5 5 5 5 5 4 5 6 8 11 11 11 10 10 11 12 13 12 11 10 9 10 10 11 12 13 14 15 15 14 13 13 12 12 12 12 12 12 12 12 13 13 13 12 11 10 9 9 8 9 10 11 11 10 10 9 9 8 8 9 9 10 11 11 11 9 9 8 9 9 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 11 11 11 12 12 12 12 12 12 13 13 12 11 10 8 7 6 5 5 5 6 6 7 7 6 6 5 5 7 10 13 15 16 15 14 13 13 13 12 11 10 9 9 10 10 11 12 13 14 15 15 15 14 13 12 12 12 12 12 12 13 14 14 14 14 13 12 11 9 8 8 10 11 12 12 12 11 10 9 9 9 10 10 11 11 10 9 8 7 8 9 10 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 11 11 12 12 12 12 13 13 14 14 14 13 13 11 9 8 8 8 8 9 9 10 10 9 9 7 7 7 10 14 16 18 17 15 14 13 13 12 11 10 10 10 10 10 10 11 11 12 13 14 15 14 13 12 12 12 11 11 11 12 13 14 14 15 15 13 12 11 9 8 9 11 12 13 12 12 11 10 10 10 10 11 11 11 10 8 7 7 8 9 9 10 10 10 10 10 10 10 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 11 11 12 12 12 12 12 13 13 14 14 14 14 14 13 12 11 11 11 12 12 12 12 12 11 9 8 8 9 12 13 15 15 13 12 12 12 12 11 11 10 10 10 10 10 10 10 11 12 13 14 14 13 12 11 11 11 11 11 11 12 13 13 14 14 14 13 12 10 9 9 11 12 13 12 12 11 11 11 10 10 11 11 11 9 8 6 6 8 8 9 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 11 11 11 11 11 11 11 11 12 12 13 13 14 14 14 14 14 13 13 14 14 14 13 13 13 11 10 9 9 10 11 12 13 13 13 13 12 11 11 11 10 10 10 10 10 10 10 10 11 12 13 13 12 11 11 11 11 11 11 11 11 12 12 13 13 13 13 12 10 10 10 11 11 12 12 12 12 12 11 10 9 10 10 11 11 9 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 11 11 11 11 11 10 10 10 10 11 11 12 12 13 13 13 13 13 14 14 14 14 14 14 14 13 12 11 10 11 11 12 14 14 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 11 12 12 12 12 12 12 12 13 12 12 12 11 10 10 10 10 10 11 11 12 12 12 11 9 8 8 9 12 13 12 11 11 10 10 10 10 10 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 12 12 12 12 13 13 14 14 15 14 13 12 12 11 11 12 13 13 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 12 12 13 12 12 12 12 12 12 12 11 11 11 10 10 10 9 10 10 11 12 12 10 8 7 7 9 12 15 15 15 13 12 11 10 11 11 11 11 11 11 12 11 12 11 11 11 12 12 12 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 10 10 10 11 10 10 10 10 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 2 5 9 13 16 17 15 13 11 9 8 7 8 9 10 10 9 9 8 8 11 15 22 32 42 53 66 77 84 97 112 124 130 125 125 133 149 160 152 132 126 121 108 85 59 37 26 21 19 16 15 14 12 12 12 13 10 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 2 2 2 2 3 3 3 3 3 3 3 3 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 7 7 7 6 6 5 4 3 3 3 4 4 3 2 1 0 1 2 4 9 17 26 34 40 44 46 56 70 87 102 102 111 123 138 150 151 143 142 137 123 96 67 46 32 23 16 13 10 8 7 7 8 8 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 3 3 3 3 4 4 4 4 4 3 3 3 3 2 2 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 1 4 15 26 34 36 35 33 35 44 53 59 63 96 122 138 144 145 134 129 121 105 81 57 41 29 18 10 8 6 5 6 7 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
4 3 3 3 4 4 5 5 5 5 4 4 3 3 3 3 2 1 1 1 1 0 0 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 2 1 1 2 2 2 2 1 1 0 0 0 0 0 2 6 22 38 48 51 47 42 45 60 80 97 119 135 145 146 139 132 119 109 95 77 59 49 37 23 12 7 5 3 3 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 3 3 2 2 2 2 3 3 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 5 15 31 43 48 48 45 49 63 86 107 117 128 144 156 156 143 136 122 99 75 57 50 46 34 21 11 6 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 5 4 4 5 5 5 5 5 5 4 5 5 5 5 5 7 8 9 9 8 10 7 4 2 2 2 2 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 5 14 27 37 43 45 44 45 54 70 88 102 112 129 150 175 184 165 148 126 101 80 63 52 43 32 22 13 6 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 3 3 3 4 4 4 4 4 4 5 6 6 8 9 10 12 12 12 11 10 9 6 4 2 1 1 1 1 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 4 10 15 19 24 39 53 62 64 57 46 54 68 85 103 122 150 164 188 203 183 158 137 116 93 69 52 41 30 19 10 3 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 2 2 2 2 2 2 3 3 4 5 6 8 10 11 12 12 12 12 10 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 5 10 21 30 37 45 61 76 84 86 81 71 77 96 115 132 154 209 232 227 207 183 162 138 114 92 71 49 33 22 13 4 0 3 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
1 1 1 1 1 1 1 1 1 1 2 3 4 5 7 8 10 12 13 12 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 24 22 16 12 11 12 21 32 43 54 67 79 84 86 83 75 74 98 119 134 148 173 212 222 213 195 177 158 129 101 78 55 33 17 9 5 1 0 3 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 7 25
1 1 1 1 1 1 1 1 2 2 3 4 4 5 7 10 13 14 16 15 12 7 3 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 4 9 23 24 22 19 18 20 31 41 50 60 74 86 80 76 79 89 106 116 120 127 145 174 201 208 198 177 155 137 107 76 50 26 13 5 2 1 0 1 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 24 55
2 1 2 2 2 1 2 3 4 5 5 6 7 9 12 16 19 23 25 22 14 5 2 0 0 0 0 0 0 0 1 2 2 3 3 5 6 6 2 2 4 7 16 21 19 21 31 45 54 60 64 67 70 81 71 67 78 101 119 118 115 120 135 154 171 176 169 149 127 103 75 47 25 9 3 1 0 0 0 1 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 27 55
2 2 3 3 3 4 5 7 8 10 11 13 14 16 19 22 24 27 27 23 15 5 3 1 0 1 3 6 7 4 1 3 3 3 3 3 3 2 3 7 14 23 36 47 49 58 75 79 76 73 72 73 71 71 64 66 82 105 125 118 109 108 118 127 133 137 134 119 96 66 41 23 12 6 4 2 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 22
3 4 4 5 6 7 9 11 13 14 16 17 19 20 21 22 22 24 23 18 11 1 0 0 0 1 3 6 6 4 2 2 1 1 0 0 2 7 11 18 24 28 30 36 37 48 70 73 67 62 61 64 69 76 77 75 72 74 81 81 79 81 95 107 111 111 103 81 52 30 15 8 5 6 4 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 3
4 5 7 8 10 11 12 13 14 15 16 16 17 17 17 17 17 16 14 10 5 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 1 1 3 6 7 7 12 18 24 32 42 51 55 57 63 75 85 80 63 43 31 28 40 58 75 89 94 91 77 56 31 14 6 4 4 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 1 1 0 0 1 0 0 1 3
5 6 8 10 11 11 12 12 12 13 13 13 13 12 11 10 10 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 19 31 44 55 62 63 64 68 75 69 49 28 14 12 20 47 76 93 88 75 59 41 22 9 4 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 2 3 3 3 2 1 1 1 1 1 2 6
5 6 7 8 8 8 8 8 9 10 10 10 10 9 8 6 5 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 3 12 27 44 61 73 71 68 66 62 51 33 15 4 6 22 45 66 77 73 54 40 27 17 10 7 7 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 3 3 3 4 3 3 3 3 3 6 8
3 3 4 4 4 4 4 5 6 7 8 9 8 7 6 5 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 18 35 51 65 70 63 58 50 35 16 6 4 9 22 44 61 69 64 49 34 23 15 9 6 6 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 5 5 4 5 5 5 5 5 5 5 8 9
1 1 1 1 2 2 2 3 5 6 7 7 7 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 19 31 42 48 49 44 34 21 9 3 7 18 32 47 57 61 58 48 31 16 7 4 3 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 0 1 2 4 5 5 5 5 5 5 4 4 4 5 8 10
0 0 0 1 1 2 3 4 5 6 7 6 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 13 21 29 36 34 24 13 6 5 15 29 43 54 59 57 53 42 27 13 5 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 3 3 3 4 4 5 5 7 8
0 0 1 1 3 4 5 6 7 7 6 5 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 2 7 14 22 26 20 12 9 12 22 39 48 50 48 44 41 33 22 11 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 3 4 4 4 5 5 4
0 1 3 4 6 7 8 9 9 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 7 13 16 16 13 14 21 33 41 45 41 35 30 27 19 12 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 1 0 0 1 2 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 3 2 2 2 3
2 3 5 6 9 11 11 11 8 5 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 1 2 4 8 11 13 14 18 27 35 37 30 25 20 16 13 12 9 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 15 12 1 1 1 1 1 1 3 7 11 17 37 27 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3
3 4 6 8 9 10 10 9 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 2 4 7 10 12 13 20 23 24 21 16 10 8 7 7 6 5 4 3 2 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 8 14 10 4 2 1 1 0 1 4 9 17 27 35 30 18 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4
3 4 4 5 5 5 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 1 0 0 0 0 0 2 5 8 10 11 10 17 17 12 8 6 4 4 4 4 4 2 1 0 0 0 0 0 0 0 0 1 3 4 3 2 2 2 1 0 0 1 2 3 4 6 5 3 2 2 3 5 8 13 22 21 12 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 2 3 5
1 1 1 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 4 7 9 9 10 11 14 12 9 7 6 4 2 2 2 1 0 0 0 0 0 0 0 0 0 0 4 7 8 7 6 5 4 4 3 3 3 4 6 8 9 7 6 7 10 9 8 8 11 14 13 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 2 4 6 11 17 16 14 12 8 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 4 7 9 9 8 8 8 9 8 7 7 7 8 10 12 12 11 12 14 15 15 16 15 16 13 7 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 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 1 0 0 0 0 1 1 1 0 0 0 0 0 1 4 12 23 27 22 14 10 8 6 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 11 9 10 10 10 9 8 10 11 10 9 10 12 13 14 13 13 14 16 18 21 16 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2
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 3 4 5 3 2 2 2 3 4 5 5 4 1 2 5 9 15 29 35 30 17 8 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 8 9 8 7 5 4 7 10 12 11 10 10 10 11 13 15 14 14 16 20 26 19 10 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 1 3
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 4 4 3 3 6 11 16 19 18 12 9 7 7 7 6 5 3 1 3 10 16 19 18 18 14 8 3 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 5 5 5 5 4 4 8 10 10 10 9 5 4 6 12 14 16 16 18 23 29 24 13 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4
0 0 0 0 0 0 0 0 1 1 1 0 0 1 2 3 4 4 5 4 4 4 4 8 13 16 17 15 13 12 12 10 8 6 4 4 5 13 20 21 16 10 6 3 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 6 6 5 4 3 2 3 3 3 4 7 7 7 6 5 6 8 9 8 8 12 15 17 18 20 27 33 29 18 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 1 1 1 1 1 1 2 2 1 0 0 0 0 2 2 2
0 0 0 0 0 0 1 2 4 3 3 2 2 3 4 5 6 6 5 4 4 4 5 8 11 13 15 15 15 14 12 8 5 6 8 11 15 18 16 11 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 8 7 6 5 4 3 2 2 2 3 3 3 3 2 3 5 9 12 15 16 16 17 18 20 24 29 36 39 34 21 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 3 3 3 3 3 2 1 0 0 0 1 1 4
0 0 0 0 0 1 2 4 7 7 7 7 8 7 7 7 8 7 5 4 3 4 6 9 13 15 16 16 15 14 11 9 9 14 19 23 24 21 14 7 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 5 3 2 2 2 2 2 3 5 7 6 5 4 6 10 19 22 22 21 18 20 21 25 31 36 40 39 32 21 8 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 3 3 3 3 3 3 2 1 0 0 1 2 6 12
0 1 1 1 1 1 3 6 11 14 16 18 18 14 8 5 5 6 3 1 2 4 7 12 15 16 14 12 12 13 17 21 22 23 24 23 19 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 1 3 4 4 2 2 1 0 1 2 3 6 12 16 14 11 9 10 17 26 30 30 27 23 24 25 26 27 27 27 24 20 14 10 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 1 1 2 2 2 2 3 3 3 2 1 0 1 2 6 12 21
1 1 1 2 2 4 7 12 17 23 22 19 14 8 4 1 1 2 1 1 3 5 7 11 12 10 9 9 15 22 28 32 30 27 22 15 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 1 1 1 2 3 3 2 0 0 0 0 1 3 8 12 16 18 16 15 15 17 23 33 38 38 32 24 24 22 19 14 11 10 11 11 9 7 6 5 3 1 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 0 0 1 2 5 10 16 22
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