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 8 8 8 8 8 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 9 8 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 8 8 8 8 8 8 8 8 9 9 8 8 8 8 7 8 8 8 8 8 9 9 9 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 nan
nan 9 8 8 8 8 8 8 8 7 7 7 6 6 6 6 7 7 7 7 6 6 6 6 6 5 5 4 4 5 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 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 8 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 nan
nan 9 9 9 9 9 9 9 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 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 10 10 11 11 12 12 12 12 11 11 10 9 9 8 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 nan
nan 10 10 10 9 10 10 10 9 9 8 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 10 9 9 9 9 9 10 10 10 11 11 12 13 13 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 9 9 10 10 10 9 8 7 7 7 7 6 6 6 6 6 7 7 6 5 5 5 5 5 6 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 10 10 10 11 11 12 12 13 13 14 14 14 13 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 8 7 8 8 8 8 8 7 7 7 7 8 8 7 7 7 7 7 7 6 6 6 5 5 5 6 7 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 10 10 9 9 9 10 10 11 11 11 12 12 13 14 15 16 16 15 14 13 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 11 nan
nan 6 6 6 7 7 7 6 6 6 7 8 8 8 7 7 7 7 7 7 6 6 5 5 5 6 7 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 9 10 10 11 11 12 12 12 12 12 14 16 17 18 17 16 15 13 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 13 13 12 10 nan
nan 4 4 5 5 6 6 6 6 7 8 8 8 7 7 7 7 7 7 6 6 5 5 5 5 7 8 9 9 9 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 11 11 11 12 11 11 11 10 10 10 11 12 12 13 13 14 14 14 13 14 16 17 17 16 16 16 15 14 13 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 10 8 nan
nan 4 4 4 5 5 6 7 7 8 9 8 8 7 7 6 7 7 7 6 5 4 4 5 6 8 10 10 9 9 9 8 9 9 9 9 9 9 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 11 11 11 12 12 12 12 12 11 11 11 11 11 12 13 13 14 14 14 14 14 15 15 17 18 17 14 11 11 12 13 14 14 14 13 12 12 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 11 10 9 8 nan
nan 5 5 5 6 7 7 8 9 9 9 8 7 7 7 6 7 7 6 5 4 4 4 6 8 9 10 10 9 9 9 9 9 10 10 9 9 9 8 7 7 7 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 11 11 12 12 12 12 12 13 12 12 12 12 12 12 12 13 14 14 14 14 14 14 14 14 14 16 18 16 13 9 7 7 9 11 12 13 14 14 13 12 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 11 11 10 11 12 nan
nan 6 6 7 8 8 9 9 9 9 9 8 7 7 6 6 6 6 5 5 4 5 5 7 8 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 12 12 13 12 12 12 12 13 13 14 15 15 15 15 14 14 14 13 13 13 13 15 16 12 8 6 5 6 7 8 9 11 13 13 13 12 12 11 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 15 nan
nan 7 8 8 9 9 9 9 10 10 9 8 7 7 6 6 6 6 5 6 6 6 7 8 9 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 11 11 12 12 12 12 12 12 12 12 13 13 13 13 13 13 14 15 16 16 16 16 15 14 14 13 13 12 12 12 12 15 14 10 7 5 4 4 4 5 6 8 10 12 13 13 12 11 11 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 11 11 12 12 12 13 14 15 nan
nan 8 9 9 10 10 10 10 10 9 9 8 7 7 6 6 6 6 7 7 8 8 8 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 11 11 12 12 13 13 13 12 12 12 12 13 13 14 14 15 15 15 16 16 17 17 16 16 15 14 13 13 12 11 11 11 11 13 16 14 11 7 5 3 3 3 3 3 4 7 10 12 13 12 11 11 10 10 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 14 nan
nan 9 9 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 8 8 9 9 8 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 13 13 13 13 13 13 13 13 14 15 15 16 16 17 17 17 17 17 16 15 15 14 13 13 12 11 11 10 10 10 11 16 18 16 12 8 4 3 3 2 2 2 3 5 8 11 12 13 13 12 10 10 9 10 10 11 11 11 10 11 11 11 11 11 11 11 11 11 11 12 13 13 13 nan
nan 9 10 10 10 10 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 9 9 9 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 13 14 14 14 14 15 15 15 16 16 16 17 17 17 17 17 16 15 14 13 12 12 11 11 10 10 10 9 9 10 13 17 19 17 13 8 4 4 4 3 3 2 2 3 6 9 12 14 14 12 11 10 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 13 nan
nan 10 10 10 10 9 9 9 9 8 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 9 9 9 8 8 8 7 7 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 12 13 14 14 14 15 15 15 16 16 16 15 15 16 16 16 16 16 16 15 14 13 13 12 11 10 10 9 9 9 9 9 9 9 10 13 17 18 16 12 7 5 5 5 5 5 3 2 2 3 6 11 14 13 11 10 11 12 12 11 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 12 12 nan
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nan 9 8 7 6 6 6 6 8 9 11 13 14 13 12 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 14 16 17 18 19 18 17 15 13 12 11 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 12 12 12 12 13 17 21 22 20 15 8 6 6 5 4 2 -0 -1 0 5 10 14 15 16 14 13 12 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 12 12 11 10 nan
nan 7 6 6 6 6 5 6 8 10 12 13 13 11 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 13 14 15 17 17 18 18 17 16 14 12 11 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 11 11 12 12 12 12 12 12 12 14 18 22 23 21 14 7 6 5 4 4 2 1 1 3 8 13 15 15 14 12 12 12 13 12 12 11 11 11 11 11 11 12 12 13 13 13 13 13 13 12 12 11 10 nan
nan 6 6 5 5 5 6 7 9 11 12 12 11 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 12 12 13 14 15 16 17 17 17 16 15 14 12 11 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 11 11 11 12 12 12 12 12 12 12 12 14 17 20 21 19 12 8 7 6 6 5 3 2 2 5 9 13 13 12 11 12 13 15 15 13 12 12 11 11 11 11 11 12 13 13 13 13 13 13 13 12 12 11 10 nan
nan 6 5 5 5 6 8 10 12 12 11 10 9 8 8 7 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 11 11 12 13 14 14 16 17 17 18 17 16 15 13 12 11 10 9 9 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 10 10 10 10 11 11 11 11 12 12 12 12 12 12 13 12 12 13 14 17 18 17 13 10 8 8 7 6 4 3 3 4 7 9 9 9 11 15 17 17 15 12 12 11 11 11 11 11 12 13 13 13 13 13 13 13 12 11 11 10 10 nan
nan 6 6 6 7 9 11 13 13 12 11 9 8 8 7 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 10 10 10 10 11 11 12 13 14 15 16 17 18 18 18 17 16 14 12 11 10 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 15 16 16 14 12 10 9 8 7 5 4 2 1 3 5 7 11 15 18 18 15 12 10 10 11 11 11 11 11 12 13 13 13 12 12 11 10 9 8 9 9 10 nan
nan 7 7 8 9 11 12 13 12 10 9 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 10 10 10 11 11 12 13 15 16 17 17 18 19 19 18 17 15 13 12 10 9 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 12 13 15 15 15 13 12 11 10 9 7 4 0 -2 1 5 11 16 19 18 14 11 8 8 9 10 11 11 11 12 12 12 11 11 10 10 9 7 6 6 7 9 10 nan
nan 8 9 9 10 11 12 12 11 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 11 12 12 14 15 16 17 17 18 18 18 18 17 16 14 12 11 10 9 8 8 8 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 12 14 15 15 14 13 12 11 10 8 5 -0 -2 1 7 14 20 19 15 11 8 7 8 10 11 12 13 13 13 12 12 12 11 11 10 9 8 8 9 9 10 10 nan
nan 10 10 10 11 12 12 12 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 14 15 16 17 17 17 17 17 16 16 15 14 13 11 10 9 8 8 8 8 7 7 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 11 12 12 13 13 12 11 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 12 15 15 15 14 13 12 10 9 5 1 -0 3 8 15 19 17 13 11 10 10 10 11 12 14 15 15 14 13 14 15 14 13 12 11 12 14 14 15 14 12 nan
nan 11 11 11 12 12 11 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 15 16 17 17 17 16 16 15 14 14 13 12 11 10 9 9 8 8 8 8 7 7 8 8 8 8 8 8 9 9 10 10 10 10 11 11 12 12 12 11 12 12 12 12 11 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 12 14 14 14 15 14 12 10 8 6 3 2 4 9 16 18 15 13 12 12 11 11 11 13 14 15 14 14 14 16 16 15 13 12 13 15 17 18 19 17 14 nan
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nan 11 11 11 10 9 7 7 8 9 10 10 10 9 9 9 9 10 9 9 9 9 9 10 10 12 13 15 16 16 16 16 15 14 13 12 12 11 10 10 9 9 9 8 8 8 8 7 7 7 8 8 8 8 9 9 9 10 10 10 11 11 11 11 11 12 13 13 12 11 10 10 11 13 13 11 10 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 12 10 9 8 7 7 8 9 11 13 12 12 12 12 12 12 12 12 13 14 13 13 13 13 13 12 11 11 12 12 13 15 18 21 22 23 nan
nan 10 10 10 9 8 7 8 10 11 10 10 9 9 9 9 9 9 9 9 9 9 10 11 12 14 15 16 16 15 15 13 12 12 11 10 10 10 9 9 9 8 8 8 8 8 7 8 8 8 8 8 9 9 9 9 10 10 10 10 10 11 11 11 11 13 13 13 12 10 9 9 11 12 13 11 10 8 9 10 11 11 11 11 11 11 11 11 11 11 12 11 11 11 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 10 11 12 12 12 12 13 14 14 14 13 12 12 11 10 10 11 13 14 15 16 18 19 19 19 nan
nan 11 11 10 8 8 9 10 11 11 10 10 9 9 9 9 9 9 9 9 10 10 11 13 14 15 16 15 14 13 12 11 11 10 10 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 11 11 12 12 13 12 11 9 9 9 10 11 11 11 10 9 9 10 11 11 11 11 11 11 11 11 12 12 12 11 11 10 9 8 8 6 6 7 8 8 8 8 8 8 7 7 9 11 13 13 12 12 13 13 14 13 12 12 11 11 10 10 11 13 14 15 15 15 15 14 13 12 nan
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nan 12 11 10 10 11 12 12 11 10 10 10 10 10 10 10 10 10 10 11 12 13 14 15 15 14 13 12 11 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 10 10 9 10 10 10 10 10 9 9 9 10 10 11 12 11 10 10 10 11 11 12 11 11 11 11 11 10 8 8 8 7 6 7 8 9 9 9 8 6 7 10 14 16 16 14 14 15 14 11 9 9 9 10 10 10 10 11 12 11 11 11 11 11 10 10 9 7 nan
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nan 10 11 12 12 12 11 11 10 10 10 10 10 10 10 11 11 12 13 13 13 12 11 11 10 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 10 10 10 10 10 10 10 10 10 11 10 10 10 11 11 11 11 11 11 10 10 9 9 10 11 11 11 10 9 8 9 9 10 9 9 9 9 10 11 12 14 14 12 11 9 8 8 8 10 13 13 12 9 7 8 11 13 13 11 10 10 11 12 12 12 11 10 8 7 5 5 6 12 17 18 16 15 15 16 15 14 14 13 12 11 10 10 11 11 10 6 2 nan
nan 11 12 12 12 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 8 8 10 12 12 12 9 8 8 9 10 10 9 8 8 9 10 11 13 14 13 13 12 11 10 10 10 11 13 14 13 12 11 11 12 13 11 9 8 10 11 12 12 11 10 10 9 8 7 7 11 15 17 17 16 16 16 15 14 14 13 12 11 10 9 8 7 6 3 -0 -2 nan
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nan 9 9 9 8 8 8 8 8 9 9 10 10 11 12 13 13 14 14 14 13 13 12 11 10 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 12 13 15 17 21 23 23 21 17 12 6 2 2 3 5 6 7 7 8 8 8 7 7 7 7 7 6 4 2 1 1 2 5 7 9 11 12 12 12 11 10 9 9 10 11 12 13 13 14 14 15 15 15 15 15 15 14 13 11 10 9 10 13 16 19 22 22 19 16 14 12 11 12 12 12 12 12 11 11 11 nan
nan 8 8 8 8 8 8 8 8 9 9 10 11 11 12 13 14 14 14 14 14 13 13 12 11 10 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 10 10 10 10 10 11 11 11 11 12 13 14 17 21 24 26 27 24 18 12 8 6 6 6 7 7 8 8 8 8 8 8 9 9 9 8 6 4 2 1 2 3 6 9 11 11 11 10 9 8 9 10 11 12 12 13 13 14 14 14 14 14 15 14 14 13 11 9 8 10 13 17 21 23 21 18 15 13 12 12 12 12 12 12 12 12 12 11 nan
nan 8 8 8 8 8 8 8 9 9 10 10 11 12 13 13 14 14 14 14 14 14 14 13 13 12 11 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 14 16 19 23 27 29 26 20 15 12 9 7 7 8 8 8 8 8 8 8 9 9 9 10 9 8 7 6 4 2 3 4 6 5 4 4 4 7 8 10 10 11 11 12 13 13 14 14 14 14 15 15 15 13 11 9 9 11 15 21 25 26 22 18 15 13 12 12 12 12 12 12 12 12 12 12 nan
nan 8 8 8 8 8 8 8 9 9 10 11 12 12 13 14 14 14 14 14 14 13 13 13 12 12 11 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 17 21 25 27 26 23 20 17 13 10 9 9 8 8 8 9 9 9 9 10 10 11 11 11 11 9 5 2 1 0 0 0 2 4 7 9 9 9 10 11 11 12 13 14 14 14 15 15 16 16 16 13 12 11 13 19 24 26 25 21 16 14 12 12 12 12 12 13 13 12 12 12 12 nan
nan 8 8 7 8 8 8 8 9 9 10 11 12 12 13 14 14 14 14 13 13 13 12 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 15 18 21 24 26 27 25 21 17 15 13 12 11 10 10 10 10 10 10 10 11 12 13 13 11 8 6 3 2 3 5 7 8 9 9 8 8 9 10 11 12 13 14 14 15 15 16 17 19 19 16 14 12 15 20 23 23 20 16 13 12 11 11 12 12 12 13 13 12 12 12 11 nan
nan 8 7 7 7 7 8 8 9 10 10 11 12 12 13 13 13 13 13 13 12 12 11 11 10 10 10 9 9 9 10 11 11 11 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 14 15 18 23 27 29 27 24 22 20 18 16 14 13 12 11 10 9 10 11 13 13 13 11 9 8 8 9 11 12 12 12 10 9 7 7 8 9 10 11 13 14 15 16 16 18 20 21 20 17 14 12 14 18 19 18 16 13 11 11 11 11 11 11 12 12 12 12 12 12 11 nan
nan 8 7 7 7 7 8 8 9 10 10 11 12 12 12 13 13 13 12 12 11 11 11 10 10 10 9 9 7 7 7 8 10 11 13 12 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 14 17 21 24 25 25 24 23 22 20 18 16 13 11 9 9 9 11 13 13 12 10 8 8 9 13 14 15 14 12 10 8 7 7 8 9 10 11 13 14 15 16 18 20 22 22 20 16 12 11 13 15 15 14 13 12 11 11 10 11 11 11 11 11 11 11 12 11 11 nan
nan 7 7 7 7 7 8 8 9 10 11 11 12 12 12 12 12 12 11 11 11 10 10 9 9 9 10 9 7 5 4 4 6 9 11 12 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 14 16 17 18 19 19 18 18 17 16 13 9 7 6 8 10 13 13 11 8 7 7 9 13 15 15 14 12 10 8 7 7 8 9 10 12 13 14 16 17 20 23 25 24 20 15 11 10 12 13 13 12 11 11 11 11 11 11 11 11 11 11 10 11 11 11 10 nan
nan 7 7 7 7 7 8 8 9 10 11 11 11 12 12 12 12 11 11 11 10 10 9 9 9 9 10 11 9 7 5 4 4 6 9 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 12 12 12 12 12 12 12 12 12 12 12 13 12 12 13 13 13 11 9 7 5 6 8 11 11 9 6 5 6 10 13 15 15 14 11 9 8 7 7 8 9 11 12 13 14 16 19 22 25 26 24 19 14 11 10 11 11 11 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 nan
nan 7 7 7 7 7 8 8 9 10 10 11 11 11 12 12 11 11 11 10 10 9 9 9 9 9 10 12 12 12 11 9 7 7 8 9 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 12 12 12 12 12 12 12 11 11 11 11 10 10 10 11 11 10 9 8 6 5 6 8 9 7 5 5 7 11 14 16 16 14 11 10 8 7 7 8 9 11 12 13 15 17 21 24 26 24 19 15 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 nan
nan 7 7 7 7 7 8 9 9 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 11 13 13 13 12 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 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 11 11 10 10 9 6 5 7 8 10 9 6 6 9 13 17 18 18 15 12 10 9 8 8 9 10 11 12 14 16 19 23 25 24 20 15 13 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 nan
nan 7 7 7 7 7 8 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 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 10 9 7 6 7 9 11 10 7 7 11 16 20 21 20 16 13 11 9 8 8 9 10 11 13 14 17 21 23 22 20 15 13 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 nan
nan 7 7 7 7 7 8 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 9 8 8 9 9 8 7 8 13 19 23 23 20 17 14 12 10 9 9 10 11 12 14 16 18 21 21 19 16 13 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 nan
nan 7 7 7 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 12 12 12 11 11 11 11 10 10 10 11 11 11 10 10 9 8 7 6 7 9 14 19 21 21 18 16 14 11 10 10 10 10 11 13 15 17 20 20 19 16 13 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 nan
nan 7 7 6 6 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 13 12 11 10 10 10 11 12 11 10 9 9 9 9 9 9 9 10 10 9 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 12 12 12 12 11 11 11 10 10 10 10 10 11 11 10 10 10 9 7 7 8 10 14 17 17 16 15 12 11 10 10 10 9 9 11 14 16 18 18 18 16 14 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 10 10 10 nan
nan 7 7 6 7 7 8 8 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 12 13 13 13 12 11 9 9 9 10 11 11 10 9 9 9 9 10 10 11 10 9 9 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 11 11 10 10 10 10 10 10 11 10 9 9 9 8 8 9 11 12 12 13 13 12 10 9 8 8 8 8 8 10 12 14 15 15 14 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 nan
nan 7 7 6 6 7 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 8 8 9 10 10 9 7 6 6 6 6 7 8 8 8 9 9 10 11 12 12 11 9 9 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 11 11 10 10 9 9 8 8 10 11 11 11 11 11 11 9 8 8 7 7 7 8 9 10 11 11 11 11 12 12 12 12 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 7 6 6 6 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 6 6 6 6 7 6 5 4 4 4 4 3 3 4 5 6 8 9 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 11 11 11 11 10 9 9 9 9 10 11 11 11 12 12 11 10 9 9 8 8 7 8 8 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 7 7 6 6 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 7 7 7 6 6 7 7 6 6 5 6 8 8 8 7 6 6 7 8 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 11 10 9 9 9 10 11 11 11 11 12 12 11 11 11 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 7 7 7 6 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 12 14 15 14 12 9 8 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 11 10 9 8 9 10 11 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 nan
nan 8 7 7 7 7 7 7 8 8 8 8 9 9 9 9 10 10 11 11 10 10 10 10 9 9 9 10 11 12 12 12 12 12 13 13 12 11 11 10 10 10 10 10 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 12 12 12 12 13 13 13 13 12 11 10 8 8 8 9 11 12 13 13 13 13 12 11 10 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 nan
nan 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 10 11 11 11 11 10 10 10 10 9 9 9 10 11 11 10 9 8 8 8 8 9 10 11 11 11 11 10 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 12 12 12 12 12 12 12 13 13 13 13 13 11 10 8 7 7 9 11 12 13 13 13 13 12 11 11 11 11 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 10 nan
nan 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 10 10 10 11 10 10 10 10 9 9 9 9 9 9 10 10 10 9 8 8 8 9 10 10 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 10 8 8 10 11 11 12 12 13 13 12 12 12 12 12 12 12 12 13 12 11 10 10 10 10 11 11 11 11 11 11 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 nan
nan 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 10 10 10 10 11 11 12 12 11 11 10 10 11 11 11 11 10 10 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 12 12 12 12 12 12 12 12 12 12 14 14 13 11 8 8 10 11 11 11 12 13 13 12 12 12 12 12 12 13 13 13 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 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
0 0 0 0 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 6 7 6 6 4 3 5 7 7 6 5 4 4 4 4 4 5 6 8 9 9 9 11 16 22 24 27 29 30 30 30 30 28 25 21 18 17 17 16 16 14 14 14 15 17 19 23 28 32 34 36 38 40 42 45 49 52 55 58 61 64 64 63 63 62 61 64 68 69 71 74 80 86 92 97 100 103 103 103 103 102 101 99 98 97 96 96 97 97 98 99 99 99 97 95 91 87 83 80 78 73 70 69 70 72
0 0 0 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 5 8 10 11 12 11 7 4 4 5 4 4 3 3 3 3 4 6 6 7 8 7 7 9 14 19 22 25 28 30 31 32 31 29 28 26 24 23 21 20 20 19 18 19 20 22 25 29 32 36 40 42 44 45 46 48 51 55 57 61 65 67 69 68 68 67 65 65 69 71 73 75 79 83 88 93 96 100 104 105 105 104 103 102 101 101 100 100 100 100 100 101 99 98 97 94 91 88 84 81 79 75 71 68 67 68 72
0 0 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 6 10 12 12 13 14 9 4 2 3 3 2 3 3 3 2 3 5 6 6 6 5 5 7 12 17 19 22 26 29 30 31 32 31 30 30 31 31 31 30 28 27 28 28 30 34 38 42 44 47 50 52 54 55 55 55 56 60 64 66 70 73 74 74 75 73 71 70 71 73 76 79 82 84 85 87 90 94 99 102 103 104 104 103 104 104 105 106 106 106 105 102 99 97 95 92 90 87 85 83 81 78 74 71 70 69 71 74
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 0 1 2 5 9 12 13 14 14 9 4 1 1 1 2 2 2 2 2 2 3 3 4 4 4 3 3 6 11 15 17 22 25 27 28 29 32 33 34 35 38 39 40 40 41 44 47 50 53 56 59 60 62 64 66 67 68 70 70 70 71 75 78 80 81 81 81 79 82 77 72 69 68 68 74 76 78 80 83 88 91 93 95 95 96 98 100 102 104 107 108 109 109 108 102 100 96 92 88 84 83 82 81 81 79 74 71 71 72 74 75 77
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 5 3 2 2 3 6 8 12 13 14 14 12 5 1 0 0 0 1 1 1 1 1 1 2 2 2 2 2 2 2 3 7 13 15 20 23 25 26 28 32 35 38 42 47 52 54 56 58 61 66 69 72 74 75 75 76 79 82 83 85 88 89 88 88 90 90 87 84 82 80 77 79 77 72 65 58 50 54 59 64 71 81 90 91 90 88 87 89 91 94 96 100 103 105 108 109 107 98 94 89 84 78 75 74 74 74 73 71 68 68 71 76 78 79 79
0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 5 6 7 7 5 4 5 7 9 12 14 15 14 11 7 3 1 0 0 0 1 1 1 0 0 0 1 1 1 1 1 1 2 5 9 13 16 21 24 27 29 32 36 41 47 52 57 60 62 65 69 74 78 82 84 86 85 84 86 91 96 99 101 103 104 102 100 100 98 93 87 84 83 79 78 78 74 66 56 50 47 50 57 67 81 85 83 80 78 78 82 86 88 89 92 94 96 96 96 96 91 85 78 72 67 64 65 66 67 66 64 62 66 72 76 80 81 78
0 1 2 2 1 1 1 0 0 0 1 2 3 4 5 6 7 7 9 9 8 7 7 9 12 14 15 15 14 11 7 3 1 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 2 5 9 12 17 24 28 31 34 38 42 48 54 60 63 65 67 71 75 78 82 85 88 91 92 90 91 95 101 106 111 113 116 116 114 111 107 106 104 101 97 93 91 92 92 86 73 63 57 56 57 60 63 72 72 70 68 66 67 72 76 79 79 79 78 78 78 77 77 74 70 65 60 56 56 58 60 61 62 60 61 65 69 74 75 76 73
4 8 8 6 4 3 2 2 3 4 4 5 6 6 7 7 8 9 9 9 9 10 11 14 17 19 17 16 12 7 2 0 0 0 0 0 0 0 0 0 1 0 0 0 1 2 3 5 9 13 17 21 28 33 38 42 46 52 60 65 68 69 70 72 75 79 82 85 88 90 94 97 98 98 100 103 108 113 119 122 125 125 123 119 113 112 112 112 110 107 106 104 104 97 81 71 63 57 53 52 49 50 51 51 51 49 51 56 60 62 63 60 58 57 57 57 58 57 56 54 51 49 50 51 54 56 58 57 58 61 66 70 69 68 67
7 11 13 10 4 3 4 5 6 7 7 9 8 8 8 9 10 10 10 10 10 11 14 17 19 19 17 13 7 2 0 0 0 0 0 0 0 0 0 1 1 1 0 1 5 8 11 15 20 26 32 36 41 45 49 53 58 66 72 74 75 76 78 79 83 86 89 91 94 97 100 102 104 107 109 110 114 119 125 132 131 129 126 122 115 123 127 126 124 122 121 120 116 107 89 75 65 49 31 24 21 22 23 23 23 24 28 33 37 40 42 40 38 37 37 38 39 41 42 43 44 44 45 46 48 51 52 55 58 61 63 64 63 60 56
7 8 7 5 4 5 6 7 8 8 9 10 10 10 10 10 10 10 11 11 12 14 14 13 12 12 11 7 4 1 0 0 1 2 3 3 3 2 2 2 4 7 8 9 12 15 19 25 31 37 42 47 53 57 60 64 70 77 81 82 83 83 83 86 88 91 94 98 101 106 107 108 109 110 112 116 121 128 135 139 136 132 127 123 126 132 134 134 133 130 126 120 113 102 86 72 55 30 5 0 2 3 4 4 4 8 12 15 18 20 22 21 20 19 19 21 24 26 29 32 35 38 40 43 45 48 50 54 58 61 62 60 56 51 45
6 6 5 5 5 7 8 8 9 9 10 11 11 10 10 10 11 12 12 12 13 14 11 6 4 5 7 7 4 2 0 1 3 4 5 6 7 8 8 7 7 11 13 15 19 24 30 34 41 46 50 55 59 62 67 73 78 82 84 85 86 86 86 88 92 95 100 105 111 114 115 114 112 111 115 124 132 137 143 143 139 134 131 130 136 139 138 135 130 127 116 103 91 81 72 58 34 12 1 0 0 0 0 0 0 1 2 3 4 6 7 6 5 5 5 7 12 16 18 22 26 32 35 38 42 45 48 50 54 58 58 56 52 45 37
8 7 6 5 5 6 7 8 9 10 11 11 10 11 12 12 13 14 14 14 13 9 2 0 0 2 6 7 5 3 3 4 6 6 6 7 8 8 8 9 11 13 16 21 26 33 41 45 48 51 54 57 59 64 71 77 80 84 86 88 89 89 89 91 96 102 107 112 117 121 123 123 122 123 127 131 136 140 143 143 140 139 138 138 136 134 131 128 124 120 108 97 87 79 71 42 16 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 5 10 13 17 21 26 31 35 39 42 44 46 48 51 50 48 45 42 37
8 6 5 5 6 7 8 9 10 11 11 11 12 13 13 14 15 17 15 11 5 1 0 0 1 4 7 9 7 5 5 7 7 6 7 8 9 10 11 12 14 16 19 24 31 38 44 49 51 53 56 59 63 70 75 78 81 84 88 91 92 92 93 97 102 108 116 123 129 132 133 134 133 134 136 138 138 139 139 135 132 130 129 126 123 120 117 114 112 108 100 91 83 77 69 36 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 10 14 18 24 31 37 41 41 41 42 43 45 44 42 42 40 38
5 5 5 6 7 8 9 10 10 10 10 11 12 13 14 15 17 16 11 5 1 0 0 0 2 5 8 9 7 6 7 7 6 7 8 10 11 12 13 14 16 19 23 27 34 42 48 53 54 56 59 63 70 74 75 76 78 80 85 89 91 94 98 104 111 119 127 135 139 138 135 132 131 128 127 128 129 130 126 121 116 113 111 109 106 103 101 99 98 96 93 88 82 76 52 24 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 9 12 18 24 30 34 35 35 36 38 39 40 38 40 42 38 31
4 4 5 7 8 9 9 9 9 9 9 10 11 12 13 14 14 10 5 1 0 0 0 2 4 6 7 7 7 7 7 7 7 9 10 11 12 12 13 15 19 23 25 33 40 47 52 55 57 59 62 67 71 73 73 72 72 74 79 85 90 95 100 107 116 125 131 135 135 131 127 126 123 123 122 120 118 117 112 108 105 102 99 93 89 87 86 85 85 86 85 84 81 73 43 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 10 13 17 22 27 29 29 32 35 38 41 41 39 39 40 35 28
4 5 6 8 9 9 9 9 9 9 10 11 12 11 11 9 6 3 1 0 0 0 1 2 5 6 5 7 8 8 7 7 9 11 12 12 12 12 14 18 22 25 31 39 45 50 53 54 58 61 65 67 68 67 67 67 68 73 80 88 96 102 106 110 114 119 122 124 125 125 125 123 122 123 122 119 113 107 102 96 91 86 80 75 72 72 72 72 72 71 70 70 74 60 31 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 10 12 15 18 21 25 28 31 34 37 38 40 39 37 37 37 32 28
4 6 7 8 9 10 10 10 10 11 13 13 14 11 8 4 1 0 0 0 0 0 0 1 4 6 5 6 8 9 9 10 11 12 12 11 11 11 13 17 23 30 37 42 46 49 51 50 54 59 62 63 63 62 63 66 70 77 86 94 100 104 109 108 108 108 110 113 115 115 113 110 109 109 108 104 99 93 88 83 77 70 62 61 60 58 58 58 57 58 57 57 64 54 23 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 11 13 14 16 18 20 24 26 28 29 30 26 32 31 30 30 30 28 26
7 9 9 9 10 10 10 11 12 13 14 15 13 8 4 1 0 0 0 0 0 1 2 3 5 6 6 6 7 9 11 11 12 12 11 10 10 12 15 21 28 36 40 42 44 45 46 46 50 54 57 59 61 64 68 73 79 88 96 102 105 106 105 103 101 100 99 97 96 94 92 91 91 92 90 87 83 78 74 69 65 60 57 54 51 49 47 48 47 48 49 49 55 57 29 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 10 14 16 17 19 21 23 25 24 21 18 14 11 17 21 24 26 25 26 26
11 12 12 12 12 11 11 12 12 12 11 10 7 3 0 0 0 0 0 0 0 1 4 4 5 5 5 6 8 10 12 12 12 11 10 9 11 14 18 24 31 35 37 38 40 41 41 45 49 53 57 61 65 71 76 82 90 99 104 104 103 102 102 100 96 91 84 81 80 79 79 78 76 76 74 71 68 64 60 57 54 51 48 46 43 41 40 41 41 41 42 44 49 58 39 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 11 16 18 18 19 20 23 25 25 23 21 19 12 9 11 15 21 25 23 24 24
9 11 13 14 13 12 11 11 10 7 4 3 2 0 0 0 0 0 0 0 0 2 3 3 3 4 5 8 10 11 12 11 11 9 10 11 14 18 22 27 31 32 34 36 38 39 41 45 49 55 62 67 73 80 88 95 102 101 98 92 87 88 89 86 81 75 69 66 64 63 61 60 59 59 58 57 55 52 49 45 42 41 38 36 34 34 34 35 35 36 37 39 46 45 29 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 15 18 20 21 20 21 23 25 24 22 22 24 20 16 13 14 19 22 20 18 18
9 11 13 13 13 11 9 7 4 2 1 0 0 0 0 0 0 0 0 0 1 2 2 2 3 5 9 11 11 11 11 10 9 10 12 16 19 24 29 31 33 34 34 36 39 41 45 49 56 61 66 72 78 86 96 103 105 97 87 78 72 70 68 62 59 58 54 53 51 49 47 47 45 44 43 42 41 39 36 33 30 29 28 28 29 30 31 32 33 34 35 37 44 32 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 14 17 19 19 19 18 18 18 18 18 18 19 22 20 16 14 15 16 18 17 17 18
11 13 14 12 9 6 4 2 1 1 1 2 2 0 0 0 0 0 1 2 2 2 3 4 6 9 14 15 12 10 9 9 10 13 19 25 28 30 32 33 34 34 36 38 41 45 48 51 58 64 68 75 80 88 96 101 95 85 74 64 58 54 51 47 43 41 41 39 37 34 31 29 29 29 29 29 28 28 25 21 19 21 22 23 25 26 28 29 31 33 34 31 34 28 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 13 16 18 19 18 17 15 14 13 12 12 12 13 17 17 14 14 16 15 15 15 15 17
9 10 9 8 4 1 0 0 0 2 4 7 3 1 0 0 0 0 1 2 3 3 4 6 10 14 18 16 12 10 9 10 13 20 26 30 31 32 33 34 35 36 38 42 45 48 50 54 60 66 72 78 82 86 85 79 68 56 48 44 41 40 39 36 33 31 30 29 28 26 22 19 18 19 19 20 19 20 18 16 16 18 19 20 21 22 23 25 29 32 34 38 39 30 14 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 9 13 15 16 15 13 12 11 11 10 9 9 10 12 14 15 14 14 14 14 13 12 11 13
6 4 3 1 0 0 0 0 2 5 7 6 2 1 0 0 0 0 2 3 5 7 9 11 14 17 18 15 12 10 11 14 20 26 30 31 31 31 33 36 37 40 42 43 45 47 51 61 68 71 70 68 68 69 64 54 46 40 34 31 30 29 27 24 22 20 21 23 22 21 18 16 15 15 15 15 15 14 14 13 13 14 16 18 19 19 20 23 27 31 32 37 36 22 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 8 10 11 11 10 10 9 9 9 8 9 10 11 12 13 13 13 13 13 12 10 10 11
3 2 2 0 1 1 2 4 7 10 8 2 0 0 1 1 2 4 6 7 8 9 9 9 10 11 9 8 9 10 13 17 24 28 30 30 30 32 35 37 39 40 41 42 44 47 52 63 68 68 66 61 55 49 43 37 32 28 23 20 20 18 13 9 6 7 10 13 15 14 13 13 13 13 13 12 11 9 8 7 8 11 14 16 18 20 23 26 30 34 35 38 43 33 6 1 0 0 0 0 0 0 0 0 0 0 0 1 2 5 6 7 7 8 8 8 9 9 8 8 7 7 8 8 8 8 9 9 9 9 9 9 8 8 8
1 1 2 2 1 2 3 5 9 4 1 0 0 0 1 3 6 7 6 5 5 6 4 5 6 6 6 7 8 10 13 18 24 27 28 29 30 33 34 35 36 36 36 37 40 46 53 56 55 52 48 43 37 32 28 24 21 18 15 12 10 7 4 1 0 1 4 7 9 9 10 11 11 10 9 8 6 5 5 6 9 13 16 19 22 25 30 34 37 41 44 44 50 46 19 5 1 0 0 0 0 0 0 0 0 0 1 3 5 8 9 8 7 6 6 6 7 8 7 8 7 7 6 7 6 6 6 6 6 6 5 4 4 5 5
4 4 4 4 4 5 6 7 8 4 1 0 0 0 0 1 3 3 2 3 5 5 3 4 4 4 4 5 6 10 14 17 20 24 27 29 31 30 29 29 29 28 28 30 36 44 47 43 38 33 29 25 23 20 17 14 12 8 4 1 0 0 0 0 0 0 1 3 4 6 7 9 9 7 6 5 6 8 11 15 19 21 24 27 30 33 37 42 45 49 51 50 51 50 29 9 2 0 0 0 0 0 0 0 0 1 3 4 5 8 7 6 6 5 6 6 6 7 8 8 8 7 6 5 4 4 4 4 5 4 4 3 3 3 4
8 7 7 8 10 11 11 10 8 5 3 1 0 1 1 2 4 5 6 4 2 0 0 1 2 2 3 4 5 9 14 17 20 21 21 20 20 23 25 27 29 30 32 34 35 34 32 28 25 22 19 17 14 12 9 6 4 2 1 0 1 1 1 1 1 1 1 2 3 4 6 8 9 8 6 7 11 15 20 24 27 29 31 34 36 39 41 44 48 51 53 51 50 49 38 14 3 0 0 0 0 0 0 0 0 1 3 4 5 7 6 6 6 6 6 6 7 8 8 8 8 7 6 5 6 6 5 4 3 3 3 3 3 4 3
13 13 13 16 18 17 13 10 7 7 7 7 5 6 5 5 5 5 4 2 1 1 1 1 2 2 3 4 8 13 16 18 19 20 21 22 25 29 31 32 33 32 31 30 28 25 21 19 17 15 12 10 7 4 2 1 0 0 0 1 2 2 2 2 2 2 2 3 4 5 6 9 11 12 11 13 18 23 27 31 32 34 35 35 37 38 41 44 47 49 50 47 45 44 43 20 6 1 0 0 0 0 0 0 0 1 4 6 6 7 7 7 7 7 7 7 8 9 8 9 8 6 6 6 6 6 5 3 2 2 2 3 3 3 3
21 20 19 20 22 19 14 11 9 8 9 10 12 10 7 4 3 2 2 3 4 3 3 3 3 3 4 6 10 14 16 17 20 21 24 28 33 35 34 31 29 27 25 22 19 16 13 11 10 8 6 4 2 1 0 0 0 0 1 2 2 2 2 2 2 3 3 3 3 5 7 11 15 18 21 23 26 29 31 34 34 33 33 36 37 38 39 41 42 45 45 44 41 39 43 25 10 2 0 0 0 0 0 0 0 1 4 8 8 7 6 6 7 7 7 8 9 9 8 8 8 7 6 6 6 5 5 4 3 2 1 2 2 3 4
24 22 20 20 23 19 15 12 11 11 10 9 5 4 3 2 3 4 5 6 5 4 4 3 4 4 4 7 11 14 16 20 25 28 31 32 32 30 28 25 23 20 17 14 11 8 7 6 5 4 2 1 0 0 0 0 0 0 1 1 1 2 2 2 3 3 3 3 4 6 10 16 22 26 28 29 29 30 32 34 35 34 33 34 36 37 38 39 39 40 40 40 38 35 39 29 14 3 0 0 0 0 0 0 0 0 1 5 5 5 5 5 5 7 8 9 10 10 10 9 8 7 6 6 6 6 5 4 3 3 2 2 2 2 2
28 24 20 19 17 14 11 9 8 7 5 4 4 5 5 6 7 8 8 7 6 5 4 4 4 4 5 7 10 15 22 28 32 33 32 30 27 24 21 19 17 14 11 9 8 7 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 5 6 9 14 21 26 29 31 30 29 30 32 34 35 35 34 34 35 37 38 38 38 37 36 37 36 34 36 30 18 4 1 0 0 0 0 0 0 0 0 3 3 3 4 6 6 8 10 12 13 11 10 10 10 9 7 7 7 6 5 4 4 3 4 3 2 2 2
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