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 10 11 11 10 10 10 12 14 13 11 9 8 7 6 6 7 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 8 6 6 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 9 8 7 6 6 5 5 6 7 7 7 8 8 8 7 7 8 8 8 7 6 6 7 7 7 7 7 8 8 9 9 9 9 8 8 8 7 7 6 6 6 6 6 7 6 6 4 5 6 7 7 7 7 7 6 7 8 8 8 7 6 6 6 7 8 9 9 9 10 10 9 8 7 7 nan
nan 11 12 12 12 12 11 13 15 14 12 10 8 7 6 4 5 6 8 8 8 8 8 8 8 7 7 7 7 8 8 9 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 9 8 7 7 6 6 5 5 6 7 7 7 8 8 7 7 7 8 8 7 6 6 6 7 7 7 8 9 9 10 10 9 9 8 8 8 7 7 7 6 6 6 7 7 8 8 7 6 6 7 7 8 8 7 7 7 8 8 8 7 6 6 7 8 8 8 8 9 9 10 9 8 8 7 nan
nan 10 11 12 12 12 12 12 14 14 13 12 10 8 7 5 4 6 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 7 7 8 8 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 9 10 9 9 8 7 6 6 6 5 5 5 6 6 7 8 7 7 7 7 7 7 7 6 7 7 7 8 9 10 10 10 10 9 8 8 8 8 8 8 7 7 7 7 7 7 9 10 9 8 7 7 8 8 8 8 8 7 8 8 8 7 6 6 7 8 8 8 8 8 9 10 9 9 8 8 nan
nan 7 7 8 10 11 12 12 13 14 14 14 12 11 9 7 6 7 8 8 7 8 8 8 8 7 7 7 8 8 7 8 8 8 8 8 8 8 7 7 7 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 10 9 8 8 7 6 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 11 11 10 9 9 8 8 8 8 8 8 8 7 7 7 6 7 9 10 10 9 8 7 7 8 9 8 8 8 8 8 8 7 6 6 6 7 7 7 8 8 9 10 10 9 9 9 nan
nan 3 3 4 6 9 11 12 12 13 14 15 14 13 12 9 8 8 9 8 7 7 7 8 7 7 6 7 7 8 9 9 8 8 8 8 8 8 8 7 7 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 10 10 9 8 7 6 6 5 4 5 5 6 7 7 7 7 7 7 7 7 7 7 7 8 8 9 11 11 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 9 10 10 9 8 7 7 8 8 8 7 7 8 8 8 8 7 7 6 6 7 8 8 9 10 10 10 10 9 9 nan
nan 1 1 2 4 6 8 10 11 12 13 15 16 16 14 11 8 9 9 9 8 7 6 7 7 7 6 6 6 7 8 9 9 8 8 8 8 8 8 7 7 9 9 8 7 7 7 7 7 7 7 7 8 7 7 7 7 8 8 9 10 10 9 8 8 7 6 5 4 4 5 6 6 6 6 7 7 8 7 7 7 7 7 8 9 10 11 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 10 11 11 10 9 7 7 7 7 7 7 7 7 8 9 9 8 7 6 6 7 8 9 10 10 10 10 10 10 10 nan
nan 1 1 2 2 4 5 7 9 10 11 13 15 16 15 12 10 9 9 9 8 7 6 6 6 6 6 6 6 6 6 7 7 8 8 8 7 7 7 7 8 9 9 8 8 7 8 8 8 8 8 8 8 8 8 7 7 7 8 9 10 11 10 9 8 8 7 5 5 5 5 5 6 6 6 7 7 8 8 8 7 7 8 9 11 12 11 9 8 9 10 10 10 10 10 9 9 9 9 8 8 8 9 9 10 11 12 11 10 9 8 7 7 7 7 7 7 8 8 9 8 8 7 6 7 9 10 10 10 10 10 11 11 11 nan
nan 2 2 2 2 3 3 4 6 8 9 11 13 15 15 13 11 10 10 9 9 8 7 6 5 5 6 6 6 7 6 6 6 8 9 9 8 7 6 6 8 9 9 8 8 8 8 9 10 10 10 10 10 9 8 7 7 7 8 8 10 10 10 9 9 9 8 6 6 5 5 5 6 6 6 6 7 8 8 8 8 9 10 11 12 11 10 9 9 11 12 12 12 12 13 12 12 11 10 10 10 10 9 9 9 10 11 12 11 11 10 9 7 7 7 7 7 8 8 8 8 8 7 7 7 9 10 10 10 10 10 10 11 10 nan
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nan 4 4 4 4 4 4 4 4 3 4 5 6 7 8 10 12 14 13 12 11 10 9 7 6 7 7 7 6 5 5 6 6 6 7 7 6 6 6 7 8 9 10 11 11 11 10 10 10 11 11 12 13 14 14 14 14 15 15 16 17 17 16 14 14 14 14 14 12 10 8 7 8 9 10 11 12 13 13 12 11 10 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 9 11 13 15 14 12 10 9 8 8 8 10 12 13 13 12 10 8 7 6 6 6 7 7 8 8 9 10 10 11 10 9 9 9 10 10 10 nan
nan 5 5 5 5 5 5 5 4 4 4 4 5 6 6 8 10 13 13 13 12 11 10 8 7 7 8 8 7 7 7 7 7 7 7 7 7 7 6 7 8 8 8 9 10 10 10 10 10 11 10 11 11 11 12 12 12 13 14 16 17 17 17 17 17 17 18 18 18 16 14 13 12 12 12 11 11 11 11 10 9 9 9 8 9 9 10 10 9 9 8 9 9 9 8 7 7 8 11 13 13 13 12 12 11 10 9 9 10 11 13 13 12 10 8 7 7 7 7 8 8 8 8 8 9 10 10 10 9 9 8 9 8 8 nan
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nan 6 4 2 -0 -1 -0 2 4 5 5 5 6 6 6 7 8 8 7 6 7 9 9 10 10 10 8 7 6 5 5 5 6 7 8 8 7 6 4 3 4 5 6 7 7 6 6 6 7 7 7 8 8 8 7 7 9 10 11 11 11 11 10 10 11 11 11 10 10 10 10 11 11 10 10 10 10 9 9 8 7 7 8 8 8 9 10 10 10 10 10 10 9 9 9 9 10 11 11 10 9 8 7 6 5 5 5 5 5 6 7 8 7 7 8 9 9 9 9 9 8 6 4 4 4 4 5 6 7 8 8 8 8 7 nan
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nan 8 8 8 5 4 4 6 8 9 10 9 8 7 7 8 9 10 9 8 8 8 10 10 9 8 8 7 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 6 6 6 7 7 8 8 8 7 8 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 9 9 9 8 8 7 8 8 8 10 11 11 10 10 10 10 10 10 11 11 11 12 11 11 10 10 10 9 9 9 8 7 6 6 5 5 6 6 7 6 5 3 2 3 3 4 4 4 4 4 4 4 5 6 7 9 9 nan
nan 8 8 8 7 6 7 9 12 13 12 11 9 8 8 9 9 9 9 8 8 8 8 9 10 9 9 7 6 6 7 8 8 8 7 7 7 8 9 10 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 8 8 8 9 10 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 8 7 6 5 5 5 6 7 7 5 4 3 2 3 5 6 6 5 5 5 4 4 4 5 6 7 8 nan
nan 7 7 6 5 5 7 10 13 14 14 13 11 10 10 9 9 9 8 8 7 8 8 8 9 10 9 8 7 7 8 9 9 8 8 8 9 10 10 10 9 8 8 8 9 8 8 8 8 8 8 7 7 6 6 7 7 6 7 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 10 9 9 8 8 9 10 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 7 6 6 6 7 8 8 7 5 4 4 5 6 7 7 8 7 7 6 5 5 5 6 5 5 5 nan
nan 7 6 5 4 4 5 8 10 12 12 12 13 12 12 11 10 8 7 6 8 9 9 8 7 9 10 9 9 9 10 10 10 10 11 12 13 12 11 10 9 8 8 9 9 9 9 9 9 8 8 7 7 6 7 7 7 7 7 7 8 9 9 9 9 9 9 8 9 9 9 10 9 9 9 9 10 10 10 10 10 10 9 8 8 8 9 10 11 11 10 9 8 8 8 8 8 8 8 9 9 9 8 8 9 10 9 8 8 7 7 7 8 8 8 8 7 6 7 8 8 8 8 8 8 8 7 7 7 7 7 5 4 4 nan
nan 7 6 5 3 3 4 6 8 8 8 10 13 14 14 13 11 9 6 5 8 11 11 9 8 9 11 11 10 10 11 12 13 13 14 15 15 14 12 11 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 9 9 10 10 9 9 8 9 9 10 10 10 10 10 9 9 8 8 9 10 11 11 10 8 7 7 7 7 7 7 8 8 9 9 9 10 11 12 11 9 8 8 7 7 7 8 8 7 7 7 8 9 8 7 7 7 7 8 8 8 8 8 8 6 5 4 nan
nan 8 7 6 5 4 5 6 7 5 4 6 11 15 15 14 13 10 7 6 8 10 10 9 9 11 12 13 12 12 13 14 15 15 15 15 15 14 13 12 11 10 10 10 9 8 8 7 7 7 7 7 7 6 6 7 7 7 7 8 9 8 9 9 9 9 9 9 8 10 11 11 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 11 10 9 8 7 6 6 7 7 7 8 8 8 9 11 11 11 10 9 8 8 8 8 7 7 7 6 6 7 9 9 9 8 7 7 7 7 8 8 9 9 8 7 6 5 nan
nan 10 9 9 8 8 9 9 8 6 4 5 10 14 16 16 14 12 9 8 8 8 9 9 10 12 13 14 14 14 14 14 14 13 13 13 12 12 12 12 12 11 11 10 8 7 7 6 6 6 6 6 6 6 6 6 6 6 7 8 8 8 8 9 9 9 9 8 9 9 10 11 11 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 8 8 7 7 7 7 7 7 8 8 9 10 10 9 8 7 7 7 8 7 7 7 7 6 6 7 8 9 10 9 9 8 8 8 8 8 8 8 8 8 7 7 nan
nan 13 13 13 13 13 14 13 12 9 7 7 12 15 17 17 15 14 12 10 9 8 9 10 11 12 13 13 13 12 11 9 8 7 8 8 9 9 9 9 9 9 8 7 5 4 5 5 5 5 5 6 6 7 7 6 6 6 6 7 7 7 8 9 9 9 8 8 8 9 9 10 11 10 10 9 9 9 10 10 10 11 11 11 10 10 9 9 9 10 10 10 9 9 8 8 7 7 8 8 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 6 6 7 8 8 9 10 10 10 10 10 8 8 7 7 7 8 8 8 nan
nan 12 14 14 14 15 15 15 14 12 11 12 15 17 18 17 16 15 13 11 10 10 11 12 13 12 11 10 9 8 6 4 3 3 4 5 5 4 4 4 4 4 4 3 3 2 3 4 5 5 5 6 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 9 9 9 9 10 10 10 9 9 9 10 10 10 11 11 11 10 10 9 9 9 9 10 10 10 9 9 8 8 8 9 10 10 10 9 8 8 7 7 7 8 8 8 8 8 8 8 7 6 7 7 7 8 9 10 12 12 11 10 8 7 6 6 7 7 8 nan
nan 10 11 12 12 13 14 14 14 15 17 19 21 21 20 18 16 15 14 13 13 13 13 14 13 11 10 8 7 6 5 5 4 4 4 3 2 1 0 1 2 3 3 3 3 3 3 4 5 5 6 6 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 7 7 8 8 8 9 10 11 10 9 8 7 6 6 6 7 7 8 10 11 11 11 11 10 9 7 7 7 8 9 nan
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nan 10 11 11 11 11 12 13 16 18 21 24 26 27 27 26 23 20 18 16 15 16 16 16 14 12 9 9 9 10 10 10 10 9 8 6 6 6 8 9 8 7 7 7 6 7 8 10 10 10 9 8 8 8 8 8 8 9 8 8 6 6 6 6 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 10 11 11 12 11 11 10 10 10 10 10 9 9 8 8 8 9 9 10 10 11 11 11 10 9 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 10 11 12 13 13 14 15 16 nan
nan 11 11 11 11 11 12 13 15 16 18 21 23 25 25 24 22 19 17 16 16 16 16 14 12 10 8 9 11 12 12 12 11 9 8 7 7 8 10 11 10 9 8 8 9 10 11 12 11 10 8 8 8 8 9 9 10 10 10 9 7 6 5 6 7 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 11 11 12 11 10 9 9 9 9 10 10 9 9 9 10 11 11 12 13 13 12 10 9 8 7 7 8 8 8 7 6 6 7 7 7 8 8 9 9 10 11 12 12 12 13 14 nan
nan 11 11 11 11 11 11 12 13 15 17 19 21 22 22 21 19 18 17 17 16 16 14 12 10 9 9 10 12 13 14 13 11 10 7 6 6 7 9 10 10 10 10 11 12 12 12 10 9 8 8 9 9 9 10 10 11 11 11 10 8 7 6 6 7 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 10 11 11 11 9 8 8 8 9 11 11 11 11 11 11 11 12 13 13 12 10 9 9 8 8 8 8 8 8 7 6 6 7 7 7 8 8 9 9 10 10 10 9 9 10 10 nan
nan 10 10 10 10 11 11 11 12 13 15 17 19 20 20 18 17 17 16 16 15 14 13 12 11 11 12 13 13 14 13 12 10 8 5 3 3 5 7 9 10 11 12 13 13 12 9 7 6 7 8 9 9 10 10 10 10 10 10 10 10 9 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 9 8 8 8 10 11 12 12 12 12 11 11 11 11 11 10 9 10 10 10 10 9 9 9 9 8 8 7 8 8 8 8 8 8 9 10 9 8 8 8 8 7 nan
nan 10 10 10 11 11 12 12 12 13 14 15 17 18 17 16 14 14 14 14 14 13 12 12 12 13 14 15 15 14 12 10 7 5 5 4 5 6 7 9 11 12 14 14 13 11 8 7 7 7 8 8 8 9 9 9 8 8 8 9 10 10 10 9 8 8 9 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 11 10 10 9 8 9 10 12 12 13 13 12 12 11 11 11 10 10 10 11 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 8 8 7 nan
nan 10 10 11 11 12 12 13 13 14 14 15 15 15 14 13 12 12 12 12 12 12 11 11 12 13 14 14 14 12 10 6 3 4 6 7 7 8 10 11 12 13 13 12 11 10 10 9 8 8 8 7 7 8 8 8 8 7 7 7 8 9 9 9 7 6 6 7 8 8 8 8 9 9 9 9 9 9 9 9 9 8 9 9 10 10 9 9 10 11 11 11 10 9 9 10 11 12 12 12 12 12 12 11 11 11 10 10 11 12 12 12 11 10 9 9 10 10 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 nan
nan 11 11 12 12 12 13 13 14 14 15 15 14 13 12 11 11 11 11 11 11 10 10 10 11 12 14 14 12 9 7 5 3 4 5 7 8 10 12 13 14 13 12 11 10 10 10 9 8 8 7 6 6 7 8 8 7 7 6 5 6 7 8 8 7 6 4 5 5 6 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 10 11 10 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 9 10 10 10 10 10 9 9 10 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 8 nan
nan 11 11 12 12 12 13 13 14 15 15 14 13 12 11 10 9 10 10 10 10 10 10 11 12 12 13 11 8 6 5 5 5 5 5 7 9 11 12 13 14 13 12 11 10 10 10 9 9 8 6 4 5 7 8 8 7 6 5 6 7 7 8 8 8 7 5 4 4 5 5 6 7 7 8 8 8 8 9 9 9 9 9 8 8 7 7 7 8 9 9 8 8 8 8 8 8 8 9 9 8 9 9 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 9 10 10 10 10 10 10 10 9 9 8 7 7 7 7 nan
nan 11 11 11 11 11 12 13 14 14 15 14 14 12 11 10 10 10 10 10 10 10 11 12 13 13 10 7 5 6 8 10 11 11 9 9 10 11 11 12 12 12 12 11 10 11 11 12 12 10 7 5 7 10 10 8 7 6 5 7 8 8 8 8 8 7 6 6 5 5 5 5 5 6 7 8 8 8 8 9 9 9 9 8 8 8 8 8 9 10 9 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 11 11 12 12 12 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 8 nan
nan 11 11 11 11 11 11 12 13 14 14 14 14 13 12 11 11 11 11 11 11 11 12 13 13 14 12 10 10 12 15 18 20 19 17 14 13 12 11 11 11 12 12 12 12 13 13 13 14 13 11 11 15 15 13 10 8 6 5 6 7 8 8 8 8 8 7 7 7 6 6 5 4 5 6 7 8 7 7 8 9 9 8 8 8 8 9 10 11 11 10 8 8 9 9 9 10 10 10 10 9 9 9 10 10 11 11 11 11 12 13 14 14 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 nan
nan 11 11 10 10 11 11 12 13 13 13 13 13 12 12 11 11 12 12 12 12 12 12 13 14 14 14 15 17 19 21 22 23 23 22 19 16 14 12 12 12 13 13 14 14 14 13 13 14 15 16 19 22 18 14 11 9 7 6 6 7 8 9 8 8 8 8 8 8 8 7 6 5 5 5 6 7 7 7 7 7 7 8 8 8 8 9 11 11 12 11 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 10 11 12 11 11 11 12 11 11 11 12 12 12 10 10 10 10 10 10 10 10 10 11 11 nan
nan 11 11 10 11 11 11 12 12 13 13 13 12 11 11 11 11 11 11 11 11 12 12 13 13 13 14 15 16 18 18 19 19 19 19 17 15 13 12 11 11 11 12 12 12 12 12 13 15 16 19 24 21 14 9 8 8 8 7 7 8 9 9 9 8 8 8 8 8 9 8 7 5 4 4 5 6 7 7 6 6 6 7 8 8 9 9 10 10 11 11 11 11 10 9 9 10 10 10 10 10 10 11 11 10 10 10 8 7 6 7 8 8 8 8 9 9 9 8 9 10 11 11 9 9 9 9 10 10 10 10 10 11 11 nan
nan 10 10 11 11 11 11 12 12 13 13 13 12 10 10 10 10 10 10 10 10 11 11 12 12 12 12 13 13 13 14 14 14 13 13 12 11 10 9 8 7 8 9 10 10 10 10 12 14 16 18 20 15 8 3 3 5 7 8 8 8 8 9 9 8 8 8 8 8 8 8 7 5 3 3 4 6 7 7 7 6 6 7 8 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 9 9 9 9 9 9 10 10 9 7 6 6 7 7 8 8 8 8 7 7 7 8 9 9 9 9 9 9 9 10 10 10 10 10 11 nan
nan 10 11 11 12 12 12 12 12 12 12 13 12 11 10 10 10 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 7 5 4 5 7 8 9 9 9 10 11 13 15 15 11 6 2 1 4 6 7 8 8 8 8 8 8 8 8 8 8 8 7 7 5 4 3 5 7 9 10 9 8 8 9 10 10 10 9 9 8 9 9 10 10 9 8 8 8 8 8 8 8 8 7 7 8 9 10 10 9 8 8 8 9 9 10 10 9 8 7 7 8 8 8 9 9 9 9 9 9 10 9 9 9 9 nan
nan 10 11 11 12 12 12 12 12 11 11 12 12 12 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 8 8 7 7 7 7 6 6 6 7 8 8 9 9 9 10 11 13 13 10 7 4 3 4 6 7 8 8 8 8 8 8 7 7 7 7 7 7 6 6 5 5 7 10 12 13 12 11 10 10 10 11 11 10 9 8 8 9 9 10 10 10 9 9 10 11 10 9 8 8 8 8 8 9 9 10 10 11 11 10 10 11 11 11 10 9 8 9 9 8 8 8 8 9 9 10 10 10 10 10 9 nan
nan 10 11 11 12 12 13 13 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 10 10 9 9 8 8 8 8 7 7 7 6 6 7 7 7 8 8 7 7 7 8 10 11 10 11 12 13 13 11 9 7 6 6 7 8 8 8 8 8 8 7 7 7 7 7 6 7 7 7 7 8 10 12 14 14 13 12 11 11 11 11 11 10 9 8 8 9 10 11 11 11 10 10 10 11 11 10 10 10 9 9 8 7 8 8 9 10 10 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 nan
nan 10 11 11 11 12 12 13 12 12 12 12 11 11 10 9 9 9 10 11 11 11 11 10 9 9 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 7 11 11 11 11 12 13 13 12 10 9 8 8 8 8 8 9 9 8 7 7 7 7 7 8 8 8 8 8 8 9 11 13 13 13 12 11 11 10 10 10 10 10 9 9 10 11 12 12 12 12 10 9 9 9 9 10 11 11 10 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 10 10 10 9 nan
nan 10 10 11 11 11 12 12 12 12 12 11 11 10 10 9 9 9 9 10 10 10 10 10 9 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 8 11 11 11 9 9 10 11 11 11 12 12 11 10 9 9 9 9 8 8 8 8 8 8 9 10 9 8 8 8 9 11 11 11 11 11 10 10 10 9 9 9 9 10 10 11 12 12 11 11 11 11 10 10 10 11 11 11 10 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 10 10 10 11 11 10 10 9 9 9 9 9 9 nan
nan 10 10 10 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 6 6 7 7 7 7 7 7 9 11 11 10 8 7 7 8 10 11 12 13 13 12 10 10 10 10 9 9 8 8 9 9 9 10 10 9 9 9 10 10 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 10 10 10 11 12 12 12 11 10 9 8 7 7 8 9 9 9 8 8 8 8 8 8 8 7 8 9 9 10 10 11 11 11 11 10 10 9 9 9 8 nan
nan 10 10 10 10 10 11 11 10 10 11 11 11 11 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 7 7 8 9 9 9 9 9 10 11 11 10 9 8 8 8 8 9 10 11 12 11 10 10 10 11 11 10 9 9 9 9 9 9 9 9 10 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 9 8 9 9 9 9 9 9 9 10 10 11 11 11 11 10 8 6 7 8 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 9 10 10 11 11 10 10 10 9 9 8 nan
nan 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 10 11 12 12 11 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 9 9 10 11 10 10 10 10 10 9 9 8 9 10 12 12 11 10 9 9 9 9 9 9 9 9 9 10 10 9 9 8 9 9 9 8 8 8 8 8 9 9 10 10 9 8 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 8 7 8 8 9 10 10 10 10 10 10 9 8 8 nan
nan 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 7 7 8 8 9 9 9 9 10 10 10 10 10 11 12 13 14 13 12 11 11 11 11 12 12 11 10 8 8 8 7 7 7 7 7 8 9 10 11 11 11 10 9 9 9 9 10 11 11 11 10 10 9 9 9 9 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 8 7 7 8 9 10 9 8 7 8 8 9 9 8 7 7 8 9 9 9 10 9 9 8 7 7 7 8 9 10 10 10 10 10 9 8 8 nan
nan 11 11 11 12 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 11 11 12 13 14 14 13 12 12 12 11 12 11 10 10 9 9 8 8 8 7 7 7 8 9 10 11 11 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 10 10 9 9 8 9 9 9 9 8 8 7 8 9 10 9 8 8 8 8 9 9 9 8 8 9 9 9 10 10 9 9 8 8 7 7 8 9 9 10 10 10 9 8 8 8 nan
nan 10 11 11 12 12 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 9 9 9 9 9 10 10 9 9 10 10 9 9 8 8 8 8 8 8 9 9 10 10 9 8 8 8 nan
nan 9 10 11 11 12 12 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 11 11 11 10 9 9 9 9 10 10 10 10 10 11 11 10 10 9 8 8 8 8 9 9 9 9 9 9 10 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 8 9 10 10 9 10 10 11 11 10 10 10 10 10 9 9 8 8 9 9 9 9 10 10 10 10 9 9 8 nan
nan 9 9 10 11 11 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 8 8 8 8 9 9 8 8 9 9 9 10 9 9 9 10 10 10 11 12 12 13 13 11 11 10 10 11 12 12 12 12 11 11 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 9 7 7 8 9 9 10 10 11 12 12 13 12 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 nan
nan 9 8 9 10 11 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 11 11 11 12 13 14 14 14 13 12 11 11 12 11 11 11 10 10 9 9 8 8 8 8 9 9 9 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 11 12 13 13 13 13 12 10 8 8 8 8 8 9 10 11 12 13 13 12 11 10 10 9 9 9 10 10 10 9 8 9 9 10 10 10 9 8 8 nan
nan 9 9 9 9 10 10 11 11 11 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 12 12 13 14 14 13 12 11 10 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 13 13 13 12 10 9 8 8 8 7 7 9 11 11 12 11 11 11 11 11 10 9 10 11 11 11 9 9 9 9 9 10 10 10 9 8 nan
nan 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 8 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 11 11 11 11 11 10 9 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 12 12 12 11 10 9 9 9 8 7 7 8 10 11 11 10 10 10 10 11 10 10 10 11 11 11 10 9 8 9 9 9 9 9 9 8 nan
nan 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 11 10 10 10 10 9 8 7 8 9 11 11 10 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 9 8 8 nan
nan 10 10 10 10 10 10 10 9 10 10 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 11 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 8 9 9 9 9 9 9 10 11 11 10 9 10 10 10 9 8 8 9 10 11 11 10 9 8 8 8 9 9 9 8 8 9 9 9 9 9 8 8 8 8 8 8 nan
nan 10 10 11 10 11 11 11 10 10 10 10 9 9 9 9 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 8 7 7 7 8 8 8 8 9 9 9 10 11 11 11 10 10 9 9 9 9 8 8 8 8 9 9 9 8 8 8 9 10 10 10 9 9 9 9 9 8 9 9 10 10 10 10 10 9 8 8 8 9 8 8 8 8 9 9 9 9 8 8 7 8 8 9 nan
nan 10 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 9 10 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 6 6 7 7 8 9 9 9 9 10 10 11 11 11 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 9 9 8 8 7 8 8 9 nan
nan 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 10 10 10 10 9 9 10 10 9 9 9 9 9 9 9 8 8 8 7 7 7 6 6 5 5 5 6 7 8 9 9 9 9 10 10 10 10 10 9 9 9 8 8 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 9 nan
nan 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 9 9 9 10 10 10 10 10 9 9 9 9 10 10 9 8 8 8 8 8 8 8 8 7 7 6 6 5 5 5 6 7 9 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 7 8 8 8 9 9 9 8 7 7 7 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 10 nan
nan 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 6 6 8 9 11 11 12 11 11 10 10 9 9 8 8 8 8 8 8 8 7 7 7 7 8 7 7 7 7 8 8 9 9 9 8 7 7 8 8 8 9 9 8 8 7 7 7 7 7 8 9 10 10 9 9 9 9 10 9 9 9 8 8 8 8 8 8 9 10 nan
nan 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 6 6 6 6 7 7 7 7 7 7 8 9 8 8 8 8 9 10 11 12 12 12 11 10 9 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 7 7 6 7 7 8 9 9 9 8 8 9 10 10 9 8 8 8 8 8 8 9 9 10 nan
nan 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 7 6 6 6 6 7 7 7 7 7 7 8 8 9 9 9 9 10 10 11 12 11 11 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 6 7 8 8 8 8 8 9 9 10 9 9 8 8 8 8 9 9 10 10 nan
nan 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 6 6 6 7 7 7 7 6 7 7 8 9 9 10 10 10 11 11 10 10 9 9 9 9 9 10 10 9 9 8 8 8 8 7 7 8 8 8 7 7 7 8 8 8 8 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 8 7 7 7 7 7 7 8 8 8 9 10 10 9 9 8 8 8 8 9 9 9 9 nan
nan 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 7 7 6 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 8 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 7 7 7 8 8 8 7 8 8 9 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 8 9 9 9 9 8 8 7 7 7 7 6 6 6 7 7 7 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 8 9 9 10 10 10 9 9 9 9 9 10 11 11 11 10 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 9 9 8 8 8 8 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 8 9 9 9 8 7 7 6 6 6 7 6 6 6 7 7 7 8 8 8 7 7 7 6 6 6 6 6 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 9 10 11 11 10 10 9 8 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 7 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 7 7 8 9 9 9 9 9 8 8 8 8 9 9 9 9 8 9 9 10 10 10 9 9 9 9 9 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 8 7 6 6 6 6 7 7 7 7 7 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 9 10 10 9 9 8 8 7 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 7 7 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 9 8 8 8 9 9 9 9 9 9 9 10 10 9 9 10 10 10 10 nan
nan 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 6 6 7 7 8 9 9 9 8 7 6 6 6 7 7 7 8 8 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 8 9 9 9 9 8 8 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 10 10 9 9 9 10 11 11 11 10 nan
nan 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 6 6 7 7 8 8 9 9 9 8 7 7 7 7 7 7 7 8 8 8 9 9 8 8 7 7 8 8 8 9 9 9 8 8 8 8 8 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 9 10 9 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 9 9 9 9 9 10 10 9 9 8 8 9 9 9 10 10 10 9 8 8 9 10 11 10 10 nan
nan 9 9 9 9 9 9 8 8 8 8 7 7 7 7 6 6 6 7 7 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 8 7 6 7 7 8 8 8 8 7 7 6 6 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 9 9 9 9 9 9 10 10 10 9 9 8 8 8 9 10 10 10 10 9 9 9 9 10 10 9 9 nan
nan 11 11 11 11 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 10 10 9 9 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 8 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 10 9 9 10 10 9 10 nan
nan 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 10 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 11 11 10 10 8 8 7 7 7 8 8 8 8 9 8 8 8 8 8 8 8 7 7 7 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 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 nan
nan 10 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 9 9 9 9 9 9 9 9 9 10 11 11 11 12 12 12 11 11 11 11 12 12 13 13 12 12 12 12 11 11 11 11 11 11 11 11 12 12 13 12 12 11 10 9 9 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 12 12 11 11 10 9 9 9 9 nan
nan 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 13 13 12 12 12 11 11 10 10 10 10 10 10 10 11 11 12 13 13 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 13 13 14 14 14 13 12 11 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 8 9 9 9 9 9 10 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 12 12 11 10 10 9 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
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7 6 5 6 6 6 5 5 4 5 6 9 13 17 22 29 36 42 47 50 51 48 39 32 27 24 20 17 15 13 11 10 9 8 7 7 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 10 17 28 41
3 1 1 1 1 2 2 2 2 4 7 7 6 6 8 12 16 20 25 29 31 33 31 28 26 24 22 19 16 14 12 10 9 7 5 4 4 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 12 21 29
0 0 1 1 1 1 1 1 1 1 1 1 1 2 3 4 7 10 14 16 16 15 15 15 14 12 12 9 8 7 7 7 6 5 4 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 1 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 0 0 0 0 0 0 0 0 1 2 4 8 12 14 20 27