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 9 9 10 11 10 9 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 6 5 5 5 5 6 6 7 8 10 11 11 10 9 9 9 9 9 8 8 8 8 9 9 10 10 10 9 8 8 9 9 9 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 14 15 15 16 16 16 16 16 16 15 13 13 11 11 10 9 8 8 8 7 7 8 8 8 9 10 10 10 11 11 11 11 11 11 12 12 nan
nan 9 9 9 10 9 7 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 6 7 9 11 12 12 10 9 9 9 9 8 8 8 8 9 10 10 10 10 9 9 8 9 10 10 10 10 9 9 10 10 10 11 11 11 10 10 10 11 11 11 13 14 16 18 19 19 19 20 20 20 19 19 18 17 15 13 11 10 9 8 8 7 7 7 7 7 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 nan
nan 9 9 9 8 7 6 5 5 6 6 6 6 7 7 6 6 6 6 6 6 7 7 8 8 8 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 7 9 11 11 11 10 9 9 9 8 8 8 9 10 10 10 10 9 9 8 8 9 10 11 11 10 9 9 9 10 10 11 11 10 10 10 10 10 11 12 14 16 19 21 22 22 22 21 20 20 20 20 19 17 15 13 11 9 8 8 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 10 10 11 11 11 11 11 nan
nan 9 9 9 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 8 8 8 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 4 4 4 5 5 5 6 6 7 7 8 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 11 10 9 8 8 9 10 10 10 10 10 10 10 10 10 11 13 15 18 20 22 22 21 20 19 18 17 17 17 16 15 14 12 10 9 8 7 7 7 7 8 8 8 8 8 9 9 10 10 10 10 10 10 9 10 11 11 11 11 10 nan
nan 9 9 9 8 8 8 8 8 8 8 8 7 7 7 6 6 7 7 7 7 8 8 7 7 7 7 6 6 6 6 6 5 5 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 8 9 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 9 8 8 9 9 10 10 10 11 11 11 11 11 11 13 15 19 21 22 20 18 15 14 13 13 13 12 12 11 10 10 9 8 8 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 10 11 11 11 11 10 nan
nan 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 6 6 5 5 5 4 4 4 5 5 6 6 5 5 5 6 6 6 6 5 5 5 6 7 8 9 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 10 10 10 9 8 8 9 9 10 10 10 11 11 11 11 12 11 12 12 14 17 20 21 20 16 12 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 10 11 11 11 10 9 nan
nan 8 8 9 9 8 8 7 7 7 7 6 6 7 7 7 8 8 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 6 7 8 9 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 9 8 8 9 9 10 11 11 11 11 11 12 12 12 12 12 13 15 18 19 19 15 11 8 8 10 11 12 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 11 11 11 11 11 8 5 nan
nan 8 8 8 8 8 7 7 7 7 6 6 7 8 8 8 8 7 7 6 6 6 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 6 7 7 8 8 9 9 9 10 10 10 9 8 8 9 10 10 10 10 9 9 10 10 11 10 10 9 9 9 9 9 10 11 12 12 12 12 11 11 12 12 13 13 14 15 17 17 15 11 9 8 8 10 11 13 13 12 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 11 11 11 10 8 4 1 nan
nan 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 4 4 4 3 3 4 4 6 7 8 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 9 9 10 11 12 12 12 12 11 11 11 12 12 12 12 13 14 16 16 14 12 9 8 7 7 8 9 11 12 12 12 11 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 7 4 3 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 8 9 10 11 12 11 10 9 9 9 9 9 10 10 11 11 11 10 10 10 10 11 11 11 10 10 10 9 9 9 9 10 11 11 12 12 11 11 10 11 11 11 12 12 11 11 13 16 17 16 14 10 8 6 5 4 4 6 8 10 11 11 10 9 9 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 8 8 9 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 5 6 7 8 9 9 10 10 10 11 11 10 10 10 10 10 10 10 11 11 12 11 10 9 10 11 11 11 11 10 10 10 10 9 9 9 9 10 11 11 11 11 11 10 10 10 11 11 11 11 11 12 14 17 19 19 16 10 7 5 3 2 1 2 3 5 8 10 10 9 9 8 8 8 8 8 8 9 10 10 10 10 10 10 10 9 9 8 9 9 9 10 10 10 10 11 12 nan
nan 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 7 6 6 5 5 6 6 6 5 5 5 4 4 4 5 5 5 5 5 6 7 8 10 11 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 12 11 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 10 10 11 11 11 10 10 10 10 10 10 11 11 11 12 13 16 19 21 21 16 10 6 4 3 2 1 0 0 2 4 6 8 8 9 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 8 9 9 9 10 10 10 10 10 11 12 nan
nan 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 5 5 6 6 6 6 6 6 5 5 6 6 6 7 7 8 10 12 14 15 15 15 15 14 13 12 12 11 11 11 12 12 12 11 11 11 11 11 11 11 10 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 14 17 20 22 22 16 10 6 4 3 2 1 -0 -0 0 1 3 5 7 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 nan
nan 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 6 6 6 7 8 8 10 11 13 14 16 17 18 17 17 16 15 14 13 13 12 12 12 12 12 11 11 10 11 11 12 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 14 17 20 23 21 15 10 6 4 4 3 2 1 0 0 1 1 3 5 6 8 8 8 9 9 9 10 10 10 9 9 8 9 9 9 10 10 10 11 10 10 10 10 11 11 12 nan
nan 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 8 10 12 14 16 17 17 17 17 17 16 16 15 14 13 13 12 12 12 12 11 11 10 10 10 11 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 10 10 10 10 10 11 11 11 12 13 16 20 22 20 14 9 5 3 4 4 3 3 2 2 2 1 2 3 6 8 9 8 8 9 10 11 10 10 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 11 11 nan
nan 9 8 8 8 8 9 8 8 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 6 6 7 8 10 12 15 17 18 18 18 16 15 14 13 13 13 13 12 12 11 11 10 10 9 10 10 11 11 11 12 12 11 10 9 9 9 8 8 8 8 9 9 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 13 16 19 21 18 12 7 3 3 4 5 4 4 4 4 4 2 2 3 5 8 8 8 8 9 11 11 10 9 9 10 10 10 11 11 11 11 11 11 10 9 9 10 10 10 11 nan
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nan 10 10 9 8 8 7 8 8 8 8 8 7 7 6 6 6 6 5 5 5 5 7 10 13 16 18 19 17 16 14 12 11 10 9 9 9 9 9 10 11 12 13 13 12 11 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 9 9 9 9 10 10 10 10 10 11 11 13 15 18 19 17 13 9 6 5 6 7 6 6 6 6 7 7 8 8 8 8 9 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 11 11 11 11 11 11 nan
nan 9 8 7 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 7 8 10 14 17 19 20 19 17 15 13 12 11 11 10 9 9 9 10 10 11 11 11 12 12 12 11 10 9 9 9 9 10 10 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 11 12 14 18 19 18 15 11 7 6 6 6 6 6 5 5 6 9 11 11 10 10 10 11 11 11 11 11 10 10 10 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 nan
nan 7 7 6 6 5 5 6 6 6 7 7 7 7 7 8 8 9 11 13 15 18 20 22 21 19 16 14 13 12 11 10 10 9 10 10 10 11 11 12 11 11 11 11 10 10 9 9 8 8 8 9 9 10 10 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 12 14 18 19 19 17 13 8 6 6 6 6 5 4 5 7 11 14 14 13 11 10 10 11 11 11 11 10 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 nan
nan 6 6 6 6 6 6 7 7 7 8 9 10 12 13 15 16 18 19 21 23 24 23 22 19 16 14 13 12 11 10 9 9 9 10 11 11 12 12 12 12 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 10 12 15 18 20 20 18 13 8 6 6 6 6 5 4 5 8 12 15 14 12 10 9 10 11 12 12 11 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 nan
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nan 6 6 6 7 8 9 11 12 14 16 16 17 18 19 21 23 22 20 18 17 15 14 11 9 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 9 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 11 12 14 17 19 19 18 14 9 6 4 4 4 4 3 4 5 8 9 9 10 11 13 14 14 12 10 8 8 9 10 10 10 11 12 13 12 11 10 10 9 8 8 9 9 10 11 nan
nan 5 6 7 8 10 11 12 13 14 15 15 14 14 14 15 15 14 11 10 9 10 10 9 8 8 8 9 10 10 11 11 10 10 10 9 8 9 10 10 10 10 11 11 10 10 10 10 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 12 14 16 18 18 16 13 9 5 3 3 3 3 3 3 4 5 7 9 12 14 15 14 11 9 7 7 8 10 11 11 11 12 12 12 11 10 9 9 8 6 6 7 8 10 12 nan
nan 4 6 7 9 10 11 12 12 12 12 12 11 11 11 11 11 11 10 9 9 10 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 13 15 16 16 15 13 8 4 2 1 2 3 4 4 4 4 7 10 13 15 15 12 10 8 7 8 10 11 12 12 12 12 12 11 11 11 10 9 7 7 8 9 11 13 14 nan
nan 4 6 7 9 10 10 11 11 11 10 10 11 11 11 11 10 10 9 8 8 9 9 9 10 10 11 11 10 9 8 8 7 8 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 9 9 10 10 10 10 10 10 10 10 11 11 11 12 14 14 14 14 12 8 4 1 0 1 3 4 6 6 6 7 10 13 14 13 11 10 10 10 11 12 13 14 13 12 11 11 12 13 13 12 10 10 10 12 13 15 16 15 nan
nan 5 6 7 8 9 10 11 11 11 10 10 10 10 9 9 8 8 7 7 7 8 8 8 8 9 10 10 9 8 7 7 7 8 9 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 9 9 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 8 4 2 0 2 4 6 7 7 7 8 10 13 13 12 12 12 12 11 12 13 14 14 13 12 11 12 14 14 13 12 11 11 13 14 15 16 16 14 nan
nan 6 6 7 8 9 10 10 11 10 9 8 8 7 8 8 8 7 7 8 8 8 7 7 7 8 9 9 8 8 7 7 7 8 9 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 8 8 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 9 6 4 2 4 6 8 8 8 8 9 11 12 13 13 13 14 13 12 13 13 13 14 12 11 12 13 14 13 12 11 11 12 13 14 15 17 16 15 nan
nan 6 7 7 9 10 11 11 11 9 8 7 7 8 8 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 11 11 10 9 8 8 9 11 11 10 8 7 8 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 11 11 10 8 6 7 9 9 9 8 8 8 9 11 12 13 14 14 14 13 13 13 13 13 12 12 12 12 12 11 11 10 11 12 13 14 16 17 16 15 nan
nan 7 7 9 11 12 13 13 11 9 8 8 8 9 10 10 10 10 10 8 7 7 6 6 7 8 8 8 8 9 9 9 9 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 10 10 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 11 11 10 9 8 8 9 10 11 10 9 7 8 9 9 10 10 10 10 10 10 11 11 11 11 11 10 11 12 12 13 11 10 11 11 10 8 6 6 6 8 9 12 14 15 14 14 13 13 12 13 13 13 12 11 11 11 10 10 11 12 13 14 15 15 15 14 12 nan
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nan 9 11 14 16 16 14 12 10 9 9 10 12 12 12 11 11 10 10 9 9 10 10 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 9 8 8 8 8 9 11 11 11 10 9 9 10 10 11 11 12 13 13 13 12 12 12 13 13 11 9 6 3 1 1 2 4 8 13 16 17 16 14 14 14 14 12 11 11 11 11 10 10 10 11 11 12 11 11 11 10 10 9 8 6 nan
nan 12 15 17 18 16 14 11 9 9 10 12 13 12 12 11 11 10 10 10 10 10 10 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 10 9 9 10 11 10 10 10 9 8 8 8 8 9 11 11 11 10 10 10 11 11 10 10 11 12 13 13 12 11 11 11 10 8 5 2 -0 -0 1 3 6 11 14 16 15 13 11 11 12 11 10 11 11 11 10 9 10 11 11 11 11 11 11 10 10 9 9 8 6 nan
nan 16 17 17 16 15 13 12 12 12 13 13 12 10 9 9 9 9 8 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 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 9 10 11 11 10 10 10 10 11 11 10 10 9 8 8 8 8 9 10 11 11 11 12 11 11 10 9 8 9 10 12 13 13 11 10 9 8 6 4 0 -1 -0 2 6 9 13 14 14 12 9 8 8 7 8 11 13 13 12 10 10 10 11 11 11 11 11 11 10 9 9 9 8 6 nan
nan 17 16 14 11 10 11 12 14 14 13 12 10 8 7 6 6 6 7 8 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 10 10 9 9 9 9 10 10 10 10 11 10 10 10 10 9 9 8 8 8 8 9 9 10 12 13 13 12 11 9 8 7 8 9 11 13 12 11 10 9 8 7 4 0 -2 0 4 8 11 13 13 12 9 7 5 5 6 10 15 17 16 13 12 12 12 12 12 12 12 11 10 9 9 9 10 8 5 nan
nan 16 13 10 8 8 9 10 11 11 11 9 8 6 5 4 4 5 8 9 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 10 10 9 9 9 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 10 11 11 11 10 9 9 9 8 8 7 7 7 8 9 10 12 13 13 12 10 9 8 8 8 10 12 12 11 10 9 9 8 7 4 0 -1 2 6 10 12 13 12 11 9 7 6 6 8 14 19 19 17 15 15 14 14 13 12 12 11 10 9 9 9 9 8 6 3 nan
nan 14 12 10 10 9 9 9 9 8 8 7 6 5 5 5 7 9 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 12 11 10 9 8 8 8 7 6 6 6 7 8 10 11 12 12 11 10 9 9 9 9 10 11 12 11 9 8 8 7 6 3 1 1 5 9 12 13 13 12 10 8 7 7 8 12 17 18 17 16 16 15 14 13 12 12 11 10 9 8 7 6 5 3 1 0 nan
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nan 10 10 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 14 14 15 15 14 12 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 15 15 13 10 7 5 4 4 5 7 10 12 13 12 11 9 7 5 4 4 4 4 4 4 5 5 4 4 3 1 0 1 3 6 8 10 12 12 12 11 10 8 6 6 7 7 8 9 10 10 11 12 13 13 14 14 14 14 14 14 13 13 12 13 16 18 21 20 17 14 11 10 10 11 11 11 12 12 13 14 14 nan
nan 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 13 13 13 13 14 15 14 13 12 11 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 15 16 16 15 13 10 7 4 3 3 5 7 8 8 7 6 6 5 5 5 5 5 5 6 6 7 7 7 6 4 2 1 1 2 4 7 9 11 12 11 9 7 5 5 6 7 8 9 10 10 11 12 12 13 13 14 14 15 15 15 14 13 13 14 17 21 23 20 16 13 11 10 11 11 11 11 11 11 12 13 14 nan
nan 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 13 13 14 14 14 13 12 11 12 11 11 12 13 12 12 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 12 14 15 16 17 17 14 11 8 5 4 4 5 6 6 6 6 6 6 5 5 6 6 6 6 7 7 8 8 8 7 6 4 4 3 2 3 4 5 6 5 4 3 3 4 5 6 8 9 9 10 11 11 12 13 14 15 15 15 16 16 15 14 14 15 20 24 25 21 17 13 11 11 11 11 11 11 10 10 11 12 12 nan
nan 10 10 10 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 12 12 12 11 11 12 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 16 18 17 16 14 11 9 7 7 7 8 8 8 7 7 6 6 6 7 7 7 7 7 8 8 8 9 8 8 8 7 4 1 -1 -2 -2 -1 -0 1 4 5 6 6 7 8 9 10 11 12 13 14 14 15 16 17 18 17 16 15 15 18 22 24 23 19 16 13 11 11 11 11 11 11 10 10 10 11 11 nan
nan 10 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 14 16 17 18 18 17 14 12 11 11 11 11 11 10 9 9 8 8 8 7 7 7 7 8 8 9 9 10 10 11 10 8 4 1 -1 -1 0 2 4 5 6 5 6 7 8 9 10 11 12 13 14 15 16 17 20 20 18 16 14 15 19 21 21 19 15 13 11 11 11 10 10 10 10 10 10 10 10 11 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 9 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 15 16 19 19 18 17 16 15 14 13 12 13 14 14 15 14 12 10 9 8 8 8 9 11 12 13 13 13 12 11 9 8 6 6 7 8 8 7 6 5 6 7 8 9 10 11 12 14 14 15 17 19 21 20 17 14 12 14 17 18 17 15 13 11 10 10 10 10 10 10 10 10 10 10 10 11 nan
nan 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 7 7 8 9 10 11 12 12 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 14 16 19 19 20 19 18 16 15 14 16 18 20 21 21 19 17 14 12 11 11 12 15 18 19 18 16 14 12 11 11 11 11 11 11 10 8 6 6 6 7 8 9 10 11 13 14 15 17 19 21 21 19 14 10 9 12 14 15 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 11 nan
nan 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 9 8 7 6 6 6 8 10 11 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 14 16 17 18 18 18 18 18 18 19 21 22 24 26 26 25 23 20 16 14 14 15 19 21 20 17 14 12 10 10 11 12 12 12 10 8 7 6 6 7 8 9 10 11 12 14 16 19 22 23 23 18 13 8 8 9 11 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 nan
nan 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 10 8 8 7 7 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 12 12 13 14 14 15 16 16 17 18 19 19 20 22 24 26 28 28 25 22 18 15 12 13 15 15 14 12 11 10 10 12 13 14 13 11 9 8 7 7 7 8 9 10 12 13 14 18 21 23 24 21 16 12 9 8 8 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 nan
nan 9 9 9 9 9 9 9 10 10 10 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 11 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 14 14 15 15 16 18 20 21 23 24 22 20 17 13 10 9 9 10 10 10 11 12 14 15 15 14 11 10 9 7 7 7 8 9 11 12 13 17 21 23 24 22 17 13 11 9 9 8 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 nan
nan 9 9 9 9 9 9 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 12 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 14 15 17 19 20 19 15 11 9 8 9 9 10 13 15 17 18 17 14 12 10 9 7 7 7 8 9 10 12 15 19 23 23 22 18 13 11 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 nan
nan 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 13 15 17 17 14 12 9 8 9 10 12 15 18 21 22 20 16 13 10 8 6 6 7 8 9 11 13 16 20 22 21 18 14 12 11 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 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 10 10 10 10 11 11 11 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 11 12 12 12 11 11 11 10 10 10 11 12 14 14 13 10 8 7 8 10 12 16 21 25 25 22 17 12 8 5 5 5 7 8 10 11 13 16 19 19 18 15 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 nan
nan 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 9 10 11 11 12 11 10 8 7 7 9 11 15 20 23 23 20 14 9 4 2 3 5 6 8 10 12 14 16 17 17 15 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 9 10 11 11 11 10 9 8 8 8 8 9 10 10 10 10 10 11 11 10 10 11 11 11 11 11 11 11 11 11 11 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 9 9 10 9 8 9 10 11 14 16 18 17 14 9 4 0 0 2 4 6 8 10 11 13 14 14 14 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 7 7 7 8 9 10 10 9 8 7 6 6 6 7 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 10 11 12 12 13 13 13 11 7 3 1 2 4 5 6 8 9 10 11 12 12 12 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 11 nan
nan 9 8 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 7 6 6 5 6 6 7 8 7 6 5 4 4 4 4 5 6 7 8 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 11 12 12 12 12 12 10 8 6 5 5 6 7 8 8 9 9 10 11 11 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 nan
nan 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 6 6 6 6 6 6 6 5 4 4 5 6 5 5 4 5 6 8 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 10 10 11 11 12 12 12 12 11 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 nan
nan 8 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 8 8 7 7 7 8 8 8 7 7 7 8 11 12 11 10 8 8 9 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 10 10 11 11 11 11 11 11 11 11 12 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 nan
nan 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 11 12 12 11 12 14 16 17 17 15 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 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 10 11 11 11 11 11 11 11 11 nan
nan 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 12 12 11 11 10 10 10 10 10 11 12 13 14 13 13 13 13 14 14 14 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 11 11 10 10 10 10 10 11 11 11 10 10 10 11 11 12 12 12 12 11 11 11 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 11 nan
nan 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 11 11 10 10 10 10 10 11 11 13 13 13 12 10 9 9 9 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 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 10 9 9 9 11 12 12 11 10 10 10 11 11 12 12 12 12 12 12 11 11 11 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 11 nan
nan 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 11 11 10 10 11 11 11 11 12 12 12 12 11 10 10 9 10 10 10 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 12 11 10 9 11 14 15 14 13 11 10 10 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 12 12 12 12 12 11 nan
nan 9 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 11 11 10 10 11 11 11 12 12 12 12 12 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 12 13 13 13 12 11 11 14 17 18 18 15 12 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 12 11 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
CAPE
15 8 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 1 3 6 10 13 15 15 14 11 9 6 3 3 4 8 11 19 31 45 55 63 79 97 110 122 111 87 62 45 46 39 35 32 31 33 36 38 38 38 40 46 49 48 47 46 47 47 47 48 48 47 46 45 45 46 48 48 49 49 45 41 42 43 43 42 42 41 41 42 48 55 64 75 81 84 83 79 70 62 56 48 41 35 30 25 22 18 14 12 9 6 4 3 3 3 2 2 5 8 12
9 4 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 2 2 3 6 8 9 9 8 7 4 1 0 0 0 1 2 5 8 11 14 18 23 33 58 88 102 104 91 74 58 48 53 46 40 37 40 50 63 47 41 44 45 48 51 52 53 55 55 53 53 52 49 47 47 47 48 49 49 50 51 48 44 43 45 46 46 44 42 42 42 44 47 53 62 75 78 77 71 62 52 45 38 31 24 19 15 12 9 6 3 2 1 0 0 0 0 0 0 1 3 7 14
6 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 1 1 1 2 2 3 4 6 8 8 9 8 7 5 3 1 0 0 0 1 2 3 5 8 10 11 12 13 20 31 55 82 94 87 75 75 79 75 56 45 41 44 52 64 71 56 47 47 49 52 55 58 59 57 56 55 54 51 49 48 49 51 52 52 50 50 52 51 48 46 44 48 52 55 58 59 59 56 55 57 61 66 67 62 53 43 33 26 20 15 11 7 4 3 2 1 0 0 0 0 0 0 0 0 0 0 3 8 17
4 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 5 6 7 9 10 9 7 4 3 2 1 0 1 1 2 3 5 6 7 8 9 10 10 12 22 36 55 71 75 64 63 69 72 60 48 47 50 58 65 61 57 52 50 51 54 55 60 61 59 57 56 55 54 52 51 49 50 51 51 50 49 49 51 52 52 50 52 58 62 66 72 76 75 68 61 56 53 51 46 39 30 21 15 11 7 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 11 18
2 1 1 1 2 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2 2 3 3 4 5 6 7 8 9 10 10 8 4 3 2 1 1 1 2 4 5 6 5 5 4 3 3 4 9 23 38 48 49 40 39 59 67 61 56 55 60 63 69 77 61 56 55 56 59 64 62 67 66 60 55 53 50 48 47 46 45 45 45 45 44 45 46 51 57 62 65 61 62 62 62 63 63 61 54 46 38 32 27 20 13 7 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 11 19
3 2 2 2 2 1 1 1 1 1 1 1 1 1 2 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 4 6 7 8 9 10 10 8 6 5 3 2 2 2 3 4 5 4 3 2 1 0 2 10 22 32 36 36 38 60 65 64 61 59 69 88 85 73 68 59 58 59 62 66 76 68 62 56 50 45 43 41 40 37 35 33 36 38 40 41 39 42 52 61 62 55 43 38 36 37 38 37 32 25 18 14 11 10 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 13 19
3 3 3 3 3 2 2 2 2 2 3 2 3 4 5 5 5 5 5 5 4 4 3 2 2 2 1 1 1 2 3 4 4 5 6 7 7 7 7 6 4 2 1 1 1 2 2 2 1 1 0 1 6 19 31 38 44 54 79 77 70 65 67 76 87 90 83 71 64 65 66 71 78 81 80 63 50 42 38 36 35 34 33 32 30 30 35 39 41 43 44 51 58 56 40 21 11 6 7 10 12 12 8 5 2 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 14 19
4 5 5 4 3 3 3 3 3 4 5 5 6 7 7 7 6 6 5 5 5 3 2 2 2 2 1 2 2 2 2 2 3 3 3 4 4 4 3 3 2 1 2 2 2 2 1 0 0 1 8 21 38 52 56 61 77 99 102 89 79 78 84 94 97 90 76 64 65 70 76 87 92 83 61 45 36 32 30 30 31 32 33 33 33 36 40 43 44 47 50 54 53 39 14 4 1 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 1 3 8 12 15 20
6 6 6 6 5 5 5 5 6 6 7 7 8 8 8 7 6 5 5 5 4 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 0 0 1 1 2 3 2 1 1 1 1 7 22 43 67 84 83 74 83 98 101 91 89 87 85 87 100 86 74 65 62 68 83 99 98 78 52 39 32 27 26 26 28 30 31 32 33 32 33 37 41 46 50 53 57 46 21 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 1 1 2 5 12 15 19 28
6 6 6 6 6 6 6 7 7 7 7 8 9 8 7 6 6 5 4 4 3 3 2 2 2 2 2 2 2 2 1 1 1 0 0 0 0 0 0 1 1 2 2 1 0 0 3 10 35 62 84 97 101 89 76 86 107 119 111 90 82 82 83 100 88 75 68 71 91 109 106 84 56 37 31 26 23 22 24 27 28 28 27 27 28 31 34 38 42 46 44 42 31 10 0 0 0 0 0 0 0 0 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 6 12 17 24 34
6 6 6 6 6 7 7 8 8 8 8 8 8 7 7 6 6 5 4 4 4 4 3 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 2 7 20 48 80 90 85 75 70 64 66 73 82 94 99 104 118 124 107 96 79 70 78 99 106 94 75 55 40 30 25 20 18 19 23 27 27 24 22 23 26 29 32 35 37 36 32 26 18 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 1 2 4 6 8 8 12 18 26 36
6 6 6 6 7 8 9 9 9 9 8 8 7 6 6 5 5 5 4 4 4 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 10 13 18 33 63 106 110 91 69 54 47 55 64 70 79 103 145 169 162 137 108 77 60 57 65 79 65 53 45 38 31 22 17 13 12 12 14 17 19 19 19 21 22 22 22 25 31 30 28 23 15 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 1 2 3 4 6 9 10 10 13 17 23 29
6 6 6 7 7 9 10 10 9 9 8 8 7 6 5 5 4 4 3 3 2 1 1 1 1 1 1 1 2 1 2 5 6 4 2 2 3 2 3 9 17 24 30 44 62 86 113 124 104 72 53 57 74 71 71 77 94 130 166 178 159 120 79 58 48 44 41 37 37 37 33 26 19 13 11 10 9 7 5 4 6 9 12 13 11 10 14 22 29 31 31 27 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 0 0 1 1 2 4 6 6 6 8 10 11 12 14 16 18 21
6 6 6 7 8 10 10 10 9 8 8 7 6 5 4 3 3 2 2 2 1 0 0 1 1 2 3 6 10 13 18 25 24 18 14 14 16 17 22 30 39 46 51 55 76 91 89 92 77 53 55 99 171 149 110 90 97 106 112 104 88 72 63 48 40 36 35 34 32 26 18 11 6 4 6 9 9 5 1 0 1 2 4 6 8 11 17 25 32 35 35 31 20 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 1 3 5 7 8 8 9 9 10 10 11 12 15 19 22
6 6 7 8 9 10 11 11 9 8 7 7 6 4 3 2 1 2 3 2 1 0 0 1 3 6 12 20 28 33 36 39 40 35 32 33 37 40 44 49 59 72 60 57 64 77 88 90 70 54 66 110 154 154 130 99 75 64 64 59 53 48 43 33 28 25 23 20 14 7 3 3 6 12 15 13 8 1 2 5 8 11 13 14 16 19 23 29 34 38 39 33 15 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 1 2 4 6 8 10 10 9 9 9 9 10 11 13 15 19 23
7 8 8 9 10 11 11 11 11 10 9 9 9 7 4 2 0 2 2 2 1 0 0 2 6 14 24 37 45 52 59 64 62 57 55 55 54 52 53 54 69 94 59 60 61 54 43 48 76 78 70 74 98 115 95 61 38 45 49 46 39 31 25 24 21 18 15 11 4 1 1 3 11 17 18 15 10 7 9 12 15 17 18 18 20 22 26 29 34 38 40 33 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5 6 7 9 8 8 8 8 7 7 7 8 10 13 18 20
8 9 9 10 11 11 11 12 12 11 10 9 8 5 3 1 1 1 1 0 0 0 1 4 10 19 29 41 56 70 79 81 82 77 73 67 57 53 61 57 58 77 61 59 56 50 43 46 67 65 55 51 62 54 44 35 31 40 44 40 33 26 19 17 14 12 9 5 1 0 2 8 13 18 18 17 15 13 16 18 20 21 21 21 23 25 28 30 33 37 37 32 16 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 6 6 5 7 7 6 6 6 4 4 4 5 6 9 15 19
8 9 10 10 10 10 10 11 11 11 10 8 5 2 1 0 0 0 0 0 0 0 1 6 12 19 28 41 58 73 84 88 91 84 75 64 53 50 59 58 55 59 60 63 71 75 65 52 45 45 53 68 84 56 41 37 37 41 40 33 24 18 11 7 4 2 1 1 0 3 7 12 16 19 21 21 20 21 21 23 24 25 25 25 27 28 29 29 30 33 34 32 21 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 4 4 3 2 3 3 3 3 3 2 3 3 5 7 9 14 18
8 8 8 9 8 7 7 8 10 10 8 5 2 1 0 0 0 0 0 0 0 0 1 7 12 18 30 44 57 70 81 88 87 79 68 57 51 52 55 55 54 58 65 73 84 86 67 63 61 64 72 84 79 51 40 45 51 48 41 29 16 8 3 1 0 0 0 0 3 8 13 16 19 21 23 24 25 26 26 27 27 27 27 28 28 28 27 27 26 28 30 30 21 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 3 2 1 1 0 1 1 1 1 1 1 2 4 6 8 10 12 15
6 6 6 6 6 6 6 8 9 8 5 3 1 0 0 0 0 0 0 0 0 0 1 7 14 24 38 53 63 72 78 81 83 77 64 52 48 50 42 35 34 44 62 72 82 84 69 58 56 59 68 80 55 39 33 34 36 42 38 26 13 4 1 0 0 1 3 5 9 13 17 19 22 24 25 26 29 31 31 30 28 28 27 27 27 25 24 22 22 25 30 34 19 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 1 1 1 1 1 2 3 5 8 9 9 10 11
5 5 5 6 5 5 5 7 5 4 3 2 2 0 0 0 0 0 0 0 0 2 7 14 23 33 45 58 68 73 75 76 77 73 57 38 32 37 30 24 24 33 45 54 64 69 57 43 40 45 52 55 38 28 23 23 26 38 30 18 9 2 0 0 1 4 12 17 21 21 20 17 23 26 27 29 30 29 28 27 26 25 24 22 20 20 19 19 21 24 31 39 19 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 1 1 1 2 3 4 5 6 8 8 8 8 8
4 5 5 4 4 3 3 3 3 3 3 3 2 1 0 1 1 1 1 1 4 9 16 25 34 43 51 58 62 68 71 67 54 44 29 16 12 18 25 38 56 75 58 53 54 56 50 31 25 25 26 27 23 20 22 29 40 23 12 6 3 1 6 7 11 18 26 31 32 30 26 21 24 27 30 31 30 28 24 21 19 19 19 17 16 17 19 20 21 23 29 39 26 12 3 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 2 3 4 5 6 6 6 8 7 6 6 5
7 8 6 3 3 4 6 8 8 7 6 4 2 1 1 2 3 3 4 8 13 19 26 37 47 52 50 60 56 54 52 43 25 16 10 8 11 22 45 72 93 96 66 55 58 65 61 37 22 13 9 12 15 17 17 17 16 9 5 3 4 10 16 21 26 33 39 43 43 40 34 29 28 28 29 29 26 22 16 12 11 12 13 15 17 18 18 16 15 16 21 26 19 9 1 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 3 4 6 6 6 6 6 6 5 4 4 3
14 14 11 7 8 10 12 13 13 12 10 8 7 7 7 8 9 11 18 25 30 33 38 45 45 40 34 38 38 35 30 21 14 11 13 19 28 45 70 87 90 81 83 92 93 79 51 28 15 11 11 12 11 12 12 11 9 6 4 5 11 22 26 30 36 44 52 52 52 50 43 39 35 31 28 25 19 13 10 9 9 9 11 13 15 15 13 11 10 12 15 16 12 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 2 2 2 2 2 4 5 6 6 6 6 6 5 4 4 4 3
16 19 18 15 16 17 16 13 12 15 16 15 14 13 12 14 19 30 45 47 42 33 29 32 23 12 7 10 15 20 22 21 21 20 27 40 51 54 61 66 68 70 65 54 43 35 26 14 8 5 5 6 7 9 10 11 11 12 17 22 27 31 33 37 43 50 57 57 55 51 45 39 34 28 21 17 13 11 9 8 8 9 10 12 12 11 9 9 10 12 14 14 11 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 2 2 3 4 5 5 6 6 5 5 5 4 3 3 3 3
21 22 21 20 22 21 18 15 17 19 19 17 14 10 7 5 7 10 10 8 5 2 3 8 6 2 0 2 10 21 32 39 36 41 51 59 58 45 45 53 61 62 52 46 41 36 28 16 8 5 5 9 11 11 13 16 20 26 32 35 36 38 40 44 48 52 61 59 55 49 43 32 27 23 20 19 16 12 9 8 8 9 10 11 11 8 9 10 11 12 14 14 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 2 2 2 2 4 4 5 5 6 5 5 4 5 4 4 3 2 2 2
22 21 20 22 23 22 20 18 22 20 16 11 6 3 1 1 1 2 1 0 0 1 1 0 0 1 3 11 30 47 57 57 54 64 80 89 77 62 64 66 63 55 51 46 38 27 18 10 5 4 7 9 12 17 22 27 33 33 33 35 40 44 48 51 54 57 60 58 53 49 45 35 34 35 33 26 18 13 10 9 9 10 11 10 8 8 9 9 10 11 14 16 12 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 2 2 3 3 3 4 4 4 4 5 5 4 4 4 3 3 2 2 2 2
16 16 20 25 26 26 25 24 23 16 9 3 2 1 1 2 5 4 2 1 1 2 2 3 3 7 18 39 61 68 66 61 57 58 64 75 90 88 80 68 57 50 47 41 32 22 13 9 6 5 8 11 21 30 37 42 49 45 45 51 56 57 58 59 60 61 59 55 51 50 49 45 42 39 32 24 16 13 11 9 7 7 7 7 8 8 9 9 10 12 15 17 15 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 2 3 4 4 4 3 3 3 3 3 4 4 3 3 3 2 3 2 1
11 15 22 27 31 31 30 28 25 17 8 2 1 2 1 2 3 3 1 2 3 5 7 8 12 20 37 70 76 70 58 48 45 51 61 71 76 72 65 57 49 43 37 30 22 14 9 8 7 6 8 15 24 33 40 47 51 51 53 58 62 64 64 65 67 65 61 56 53 51 50 46 41 35 28 21 16 11 8 5 5 6 6 7 8 8 8 9 10 12 15 18 18 13 2 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 2 2 1 1 2 3 3 4 4 4 2 2 3 3 3 3 4 2 2 2 3 4 3 2
13 18 23 30 36 37 36 36 32 21 9 1 1 1 1 1 2 2 2 5 7 10 13 14 15 18 26 41 40 36 31 24 23 37 50 56 51 49 48 42 33 26 20 15 12 8 5 5 6 7 8 10 13 24 38 47 48 52 56 60 63 65 66 68 71 70 63 57 53 52 49 44 39 31 22 12 9 7 5 4 5 5 6 7 6 6 7 8 9 10 11 14 16 16 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 3 4 4 3 3 3 2 2 3 3 2 2 2 2 1 3 3 2
14 20 27 39 43 46 49 50 44 26 11 2 2 3 4 4 5 6 7 7 9 12 14 12 9 7 8 10 9 7 5 4 4 14 27 37 41 40 34 24 14 9 7 6 6 6 7 10 12 14 16 18 24 35 45 49 52 55 58 59 58 59 63 69 74 71 63 57 53 50 48 46 40 30 17 11 7 6 6 5 4 4 4 5 5 5 5 6 7 7 8 9 11 12 11 7 3 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 3 4 4 5 4 4 4 4 3 2 2 3 2 2 1 1 1 1 1 1
17 22 31 45 54 62 66 64 51 26 11 5 6 8 10 11 11 11 9 9 10 12 9 4 2 1 1 1 1 0 0 1 3 18 32 39 37 29 20 11 3 3 5 6 7 10 12 16 20 23 26 28 33 40 48 53 56 59 60 59 56 59 64 70 74 72 63 53 47 48 51 48 40 28 14 8 6 6 7 7 6 5 4 4 5 5 5 5 6 6 7 7 6 7 8 6 3 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 3 3 3 4 5 6 6 6 5 3 2 2 2 2 2 2 2 2 2 1 1 0 0
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