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 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 4 3 3 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 5 5 5 5 5 5 5 7 9 12 16 17 15 10 9 10 11 11 10 9 8 8 9 8 6 5 5 5 5 3 -1 -1 2 7 9 8 7 6 7 8 7 5 4 5 6 6 6 6 6 5 6 6 6 6 6 5 5 5 5 4 3 3 3 4 5 7 8 9 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 nan
nan 4 4 4 3 3 3 3 3 3 4 4 4 4 5 6 7 7 6 4 3 3 4 4 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 6 7 7 7 8 7 7 6 6 5 5 5 5 5 5 4 5 7 10 14 16 16 13 10 9 8 8 8 8 8 7 6 6 7 6 5 5 5 5 3 -0 -1 3 7 8 8 7 6 5 5 4 4 5 6 7 7 6 5 5 5 6 6 7 7 8 8 7 7 6 6 5 4 4 4 4 4 5 5 5 5 6 7 8 9 10 11 12 13 15 16 18 20 22 24 nan
nan 4 4 4 4 4 3 3 4 4 4 4 4 5 5 6 7 7 6 5 4 4 4 5 5 5 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 6 5 5 5 5 5 5 4 4 5 7 10 13 14 13 11 10 9 8 7 7 8 8 6 4 3 3 5 6 5 6 5 3 1 1 4 7 9 8 7 6 5 4 4 4 5 6 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 4 3 3 3 2 1 1 2 3 3 4 4 5 6 8 9 11 13 15 19 nan
nan 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 5 5 4 4 4 5 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 5 5 5 5 5 5 5 5 5 5 7 11 13 12 10 10 10 10 9 8 9 9 9 6 4 2 2 4 5 6 6 4 2 1 3 6 8 9 9 8 7 6 6 6 5 6 6 6 7 7 8 8 8 8 7 7 6 6 6 7 7 7 7 7 7 6 5 5 4 3 2 1 -0 -1 -0 0 1 1 1 0 1 2 3 4 6 7 10 nan
nan 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 7 11 13 10 8 8 9 10 9 10 10 10 9 7 5 4 4 4 5 6 5 3 1 1 4 7 9 9 9 9 8 8 8 7 7 7 7 7 8 8 9 8 8 8 8 7 7 7 7 7 8 8 8 8 9 8 8 7 6 5 3 3 2 2 2 2 2 1 1 0 -0 -0 -0 -0 0 1 2 nan
nan 3 4 4 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 5 5 6 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 5 5 5 4 5 4 4 4 4 5 5 5 5 5 7 10 12 10 7 7 8 9 9 10 10 9 7 6 6 5 5 5 6 6 5 2 0 2 6 8 9 10 10 10 9 9 9 9 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 8 7 6 5 5 6 6 6 5 5 4 4 3 3 2 1 0 0 0 -0 nan
nan 3 3 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 6 7 7 7 8 8 8 9 9 10 10 10 10 9 9 9 9 9 8 7 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 9 11 11 8 7 8 9 10 10 8 6 5 5 5 5 5 6 6 6 3 0 0 4 7 9 10 10 10 9 9 9 9 9 9 8 8 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 8 7 7 7 7 8 8 8 8 8 7 7 7 6 6 5 5 4 3 3 nan
nan 3 3 4 5 5 5 5 4 4 4 5 5 5 5 5 5 6 6 7 7 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 7 6 5 5 5 5 4 4 4 3 3 3 3 4 4 4 4 4 5 5 5 5 7 11 12 10 8 8 10 12 10 7 5 4 4 5 5 6 6 6 5 1 -2 0 5 8 9 10 10 10 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 8 8 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 nan
nan 2 3 4 5 5 5 5 5 4 4 5 5 5 5 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 5 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 7 10 13 12 9 8 11 13 11 6 4 4 5 6 7 7 6 6 4 0 -3 0 6 9 10 11 11 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 6 6 7 7 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 8 8 8 nan
nan 3 4 5 6 6 6 5 5 5 5 5 5 5 6 6 7 7 7 8 8 8 8 8 7 7 6 6 6 6 6 6 5 5 5 4 4 5 5 5 4 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 6 6 8 11 14 13 10 9 11 11 9 6 4 3 4 5 7 7 7 7 6 2 -1 2 6 9 11 11 11 10 9 8 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 6 6 6 7 7 7 7 8 8 8 8 8 8 8 7 7 nan
nan 4 5 6 7 6 6 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 5 5 4 4 4 5 5 4 4 4 4 5 5 5 4 3 3 3 3 4 5 5 5 5 5 5 5 5 6 6 6 7 8 10 12 14 14 12 11 11 10 7 5 4 4 4 5 6 7 8 7 6 4 3 5 7 10 11 11 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 nan
nan 5 6 7 7 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 3 3 4 4 5 6 6 6 6 6 6 6 6 6 6 7 8 10 12 14 15 14 13 13 12 9 6 5 4 5 5 5 6 7 8 6 4 4 6 8 9 10 10 10 9 8 7 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 nan
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nan -3 -1 2 5 6 5 5 5 5 5 5 5 6 6 6 5 4 4 5 6 6 6 6 5 5 5 4 4 4 4 4 3 3 2 2 2 2 3 4 4 4 4 3 3 4 4 4 5 6 6 7 9 10 11 13 14 13 12 11 9 8 8 7 6 5 5 5 6 6 6 6 6 6 5 4 5 7 8 9 8 8 8 7 7 7 6 5 5 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 4 4 nan
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nan 14 13 11 8 6 5 5 6 6 6 6 6 6 6 5 4 4 4 4 4 5 5 5 6 7 7 8 9 9 9 7 5 4 3 3 3 3 2 1 1 0 0 1 2 4 5 8 10 11 13 14 14 14 13 11 9 8 8 9 9 9 8 7 6 6 6 6 6 7 7 7 6 4 2 4 6 8 9 9 9 8 8 7 7 7 7 7 6 6 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 nan
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nan 7 6 6 6 6 6 6 6 6 6 5 4 4 4 4 5 6 5 5 5 5 6 7 7 7 7 7 7 8 8 8 7 6 5 4 3 3 3 2 1 1 1 2 3 5 8 10 11 12 13 14 13 11 8 7 7 7 8 9 9 9 8 7 6 5 6 6 6 7 7 5 2 -0 2 6 8 8 9 9 9 9 9 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
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nan 8 9 7 5 5 5 5 4 4 4 4 4 4 4 3 4 4 4 5 5 5 6 6 5 5 6 7 8 9 11 12 13 12 10 8 8 8 8 8 7 7 6 4 2 0 1 3 5 6 7 8 9 8 7 7 6 6 7 8 9 9 7 5 5 5 5 6 6 6 6 5 2 1 4 6 7 8 9 9 9 9 9 9 8 7 6 6 6 6 6 6 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 nan
nan 11 10 7 5 5 5 5 4 4 4 4 3 3 2 3 3 4 4 4 5 5 4 4 4 5 7 8 10 11 12 12 12 11 9 7 7 7 7 8 8 8 7 6 3 0 -0 1 4 5 6 7 7 7 6 6 6 7 8 9 10 10 8 6 6 6 5 6 6 7 6 3 1 2 5 7 8 8 9 9 10 10 9 9 8 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 nan
nan 9 7 5 4 4 5 6 5 4 3 2 3 3 3 3 4 4 4 4 3 3 3 3 4 6 8 10 10 10 8 7 6 6 6 6 6 7 7 7 7 7 7 7 5 4 3 4 5 6 6 6 6 6 6 6 7 8 9 9 9 9 8 7 6 6 5 6 7 8 6 3 -0 2 5 7 7 8 9 9 10 10 9 9 8 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 nan
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nan 6 6 5 4 4 4 4 6 7 6 7 7 6 4 3 4 5 6 7 6 4 2 3 4 4 3 1 1 3 6 7 6 5 6 8 9 9 8 9 9 8 7 7 7 7 6 6 8 9 9 8 7 7 7 8 8 7 7 8 8 8 9 9 9 8 6 6 6 5 3 2 2 4 5 6 7 7 8 8 9 9 9 9 8 8 7 7 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 6 6 6 6 6 7 7 8 8 8 8 8 7 6 7 8 8 9 9 8 7 6 6 6 6 6 5 6 7 7 7 6 6 6 7 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 7 8 8 9 9 10 9 8 7 6 6 6 4 2 2 4 5 6 7 7 8 8 8 9 9 9 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 nan
nan 6 7 7 7 7 8 8 9 9 9 9 8 8 9 9 10 9 9 9 9 9 9 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 9 9 9 8 7 7 8 9 9 8 8 8 8 8 8 8 9 9 9 9 7 6 6 6 5 4 2 2 3 5 6 6 7 7 8 8 9 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 nan
nan 6 7 7 7 7 8 8 9 9 8 8 8 8 9 9 9 9 9 8 8 8 9 8 8 7 6 6 6 6 7 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 8 7 7 8 8 8 8 8 9 9 8 8 8 8 9 9 8 7 6 6 6 5 2 -0 1 3 5 5 6 6 7 7 8 8 9 9 9 8 8 8 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 8 8 7 7 8 8 8 7 7 6 6 6 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 8 8 7 7 7 7 7 8 8 9 10 9 8 8 8 8 9 9 8 7 7 6 5 1 -2 -1 2 4 5 5 6 6 7 8 8 9 9 9 8 8 8 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 nan
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nan 7 7 7 7 6 6 6 7 7 8 7 7 7 7 8 8 8 7 7 7 8 8 8 7 7 7 8 8 7 7 7 6 6 6 6 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 7 9 11 11 10 9 8 7 5 1 -2 -1 2 4 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 4 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 8 7 7 7 7 8 8 7 7 7 8 7 7 6 5 6 6 6 6 6 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 8 8 11 11 10 9 8 8 6 3 -1 -1 1 3 4 4 5 5 5 5 6 6 6 6 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 5 5 6 7 7 6 6 6 6 7 7 7 7 7 8 8 7 7 7 7 8 7 7 7 7 8 8 8 7 7 8 9 9 8 9 10 11 11 10 9 9 7 5 2 0 1 2 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 9 9 8 7 7 7 7 7 8 8 7 7 8 8 8 8 7 7 6 6 7 7 7 7 6 6 6 6 7 8 8 8 7 6 6 6 6 6 6 6 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 9 9 8 6 3 1 -0 1 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 7 7 7 nan
nan 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 5 1 -1 -1 1 2 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 4 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 nan
nan 8 8 8 7 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 6 6 6 6 6 6 6 6 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 9 9 9 9 9 9 8 9 8 6 2 -1 -1 0 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 nan
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nan 7 7 6 5 5 7 7 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 7 7 7 7 7 6 6 7 6 6 6 7 7 8 7 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 9 10 9 8 7 7 8 9 9 10 10 9 8 7 7 7 6 3 1 0 1 2 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 3 3 3 3 4 5 5 6 6 6 7 7 7 7 7 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 nan
nan 7 7 7 6 6 7 7 8 8 8 8 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 8 8 8 8 8 7 7 6 6 6 7 8 8 7 7 6 6 6 6 6 6 6 7 7 7 7 7 8 8 9 9 10 9 8 8 8 9 9 9 9 9 9 8 7 7 6 6 4 2 2 2 4 5 6 6 6 6 5 5 4 4 5 5 5 5 4 3 3 3 3 4 4 5 5 6 6 7 7 7 7 7 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 nan
nan 7 7 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 8 9 9 9 8 7 6 5 6 7 8 8 8 7 7 7 6 6 5 6 6 7 7 7 6 6 8 8 8 9 9 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 7 5 3 2 3 5 7 8 8 8 7 7 6 6 6 6 6 5 5 4 3 3 3 4 4 5 5 6 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 nan
nan 7 8 8 7 6 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 7 7 8 8 8 9 8 8 7 8 8 8 8 6 5 5 5 6 8 9 8 7 7 7 7 6 6 6 6 6 7 7 6 6 7 7 8 9 9 9 8 8 8 8 8 8 8 8 9 8 8 7 7 8 8 7 6 3 2 3 5 7 8 9 9 8 7 7 6 6 6 6 5 5 4 3 4 4 4 5 5 6 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 nan
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nan 7 7 7 7 7 7 7 8 8 8 8 8 7 6 6 5 5 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 7 7 7 6 6 7 8 8 7 6 6 6 6 6 6 7 6 7 7 8 7 7 7 7 6 6 7 9 10 10 9 8 8 8 7 7 7 7 6 6 7 8 8 8 8 8 8 8 7 6 5 3 2 3 6 8 8 8 7 7 6 6 5 5 5 5 5 5 6 6 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 nan
nan 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 8 7 6 6 7 7 7 7 7 7 7 8 8 7 7 7 6 6 7 8 9 10 9 9 8 8 7 7 7 6 6 6 6 8 8 8 8 8 8 8 8 8 7 5 2 2 4 6 7 8 7 7 6 6 5 5 5 5 5 5 5 6 6 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 nan
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nan 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 8 8 8 7 7 8 9 9 10 9 8 7 6 6 7 8 8 8 7 7 7 7 8 8 8 9 9 9 8 8 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 7 8 8 8 8 8 7 3 -0 0 4 7 7 7 7 7 7 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 7 7 7 6 6 6 6 6 7 7 nan
nan 8 8 8 7 7 6 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 6 6 7 8 8 9 9 9 8 7 7 6 7 7 8 8 8 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 8 8 9 9 8 8 8 7 8 8 8 8 8 8 5 1 -1 2 5 6 7 8 8 8 7 7 6 6 6 5 5 5 5 5 6 6 6 6 6 6 7 7 7 8 8 8 8 7 7 6 6 6 6 6 6 7 7 nan
nan 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 6 6 7 7 8 8 9 9 8 8 7 7 7 7 7 8 8 7 7 7 7 7 8 10 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 4 1 1 3 4 6 8 9 8 8 7 7 6 6 5 5 5 5 5 5 6 6 6 6 6 7 7 7 8 8 8 7 7 6 6 6 6 6 6 7 7 7 nan
nan 9 9 8 8 7 7 8 8 8 8 7 8 8 8 7 7 7 8 8 9 9 8 8 7 7 7 7 7 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 6 6 5 6 6 7 7 8 8 7 7 7 7 7 8 8 8 9 8 9 9 9 9 9 8 5 3 2 3 5 8 9 8 7 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 7 7 7 8 8 7 7 7 6 6 6 6 6 7 7 7 8 nan
nan 9 9 9 8 8 7 7 8 8 7 7 7 8 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 6 6 5 5 6 7 7 8 7 8 8 7 7 7 8 8 9 9 9 9 9 9 7 7 8 8 7 5 4 6 8 8 6 4 3 4 5 6 6 5 5 4 5 5 5 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 8 nan
nan 9 9 9 9 8 7 7 8 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 10 10 10 9 8 8 8 8 9 9 9 9 7 7 6 7 7 7 8 8 8 8 9 9 9 9 8 8 9 10 11 10 9 9 9 8 7 7 7 7 8 8 7 7 6 6 5 5 6 6 7 7 7 8 8 7 7 7 8 9 9 9 9 9 9 8 7 7 8 8 8 8 7 8 9 8 6 2 -1 0 4 6 6 6 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 nan
nan 8 8 8 8 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 10 11 11 11 10 9 8 8 8 8 9 9 9 8 7 6 6 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 10 10 9 9 8 7 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 9 9 9 10 10 9 8 7 7 7 7 8 8 9 9 9 8 6 2 -1 -1 2 5 6 6 6 6 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 nan
nan 8 7 7 7 8 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 9 8 7 7 7 8 8 7 7 6 6 6 6 6 7 8 9 10 10 10 9 9 9 9 9 9 10 11 11 11 11 10 9 9 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 9 10 10 10 8 7 7 7 7 7 7 8 9 8 8 8 7 5 2 1 2 3 5 6 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 6 nan
nan 7 7 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 6 6 6 6 7 6 6 5 5 5 6 6 7 7 8 9 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 10 9 9 9 9 8 8 8 8 8 8 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 8 9 10 10 9 7 6 7 7 7 7 7 8 8 8 8 8 8 7 6 5 3 2 3 5 7 8 7 7 6 6 6 6 6 6 7 7 7 8 7 7 7 7 7 7 7 7 7 6 6 6 nan
nan 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 7 8 9 9 9 8 8 7 7 6 6 6 7 7 7 6 6 5 5 5 5 6 7 7 8 9 10 11 11 11 10 10 9 9 10 10 10 11 12 12 12 11 10 9 9 9 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 6 6 7 8 9 9 9 7 6 6 6 7 7 7 7 8 9 9 8 8 7 8 8 7 5 4 4 4 6 7 8 8 8 8 7 7 7 7 7 7 8 8 7 7 7 7 6 6 6 6 6 6 6 6 nan
nan 8 8 7 7 6 6 7 8 8 8 7 7 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 6 5 5 5 6 7 8 8 9 11 12 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 6 6 6 5 6 6 6 6 5 6 7 7 8 8 7 6 6 6 6 6 7 7 7 8 9 9 8 7 7 7 7 7 7 7 6 4 4 6 7 9 10 11 10 9 8 7 7 7 8 8 7 7 7 7 6 6 6 6 6 6 6 6 nan
nan 8 7 7 6 6 6 7 8 8 8 7 8 8 8 8 9 9 9 8 9 9 9 9 9 9 9 9 8 8 8 8 8 7 6 5 5 6 7 8 9 10 11 11 10 9 9 9 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 7 6 6 6 6 5 5 5 5 5 6 7 7 7 6 6 6 6 6 6 7 7 8 8 9 8 7 6 6 6 7 7 7 7 7 5 5 6 8 11 13 14 13 11 8 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 nan
nan 8 7 7 6 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 9 9 10 9 8 8 8 8 8 8 8 7 6 6 6 7 9 10 11 11 10 9 8 8 8 9 9 10 10 10 9 8 7 6 6 7 7 7 7 7 7 7 7 8 8 9 9 8 8 7 7 6 6 6 6 5 5 5 6 7 7 7 6 6 6 6 6 6 7 7 7 8 8 8 7 6 6 6 6 7 7 7 6 6 6 6 7 8 11 14 14 12 7 3 2 5 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 nan
nan 8 8 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 8 8 7 8 8 8 8 7 7 7 7 8 10 11 11 10 9 8 8 8 9 9 10 10 10 9 9 8 7 6 6 6 6 6 6 6 7 8 8 9 9 9 9 9 8 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 6 6 6 7 7 7 6 6 7 7 7 7 8 9 10 9 5 -2 -5 -2 4 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 nan
nan 9 8 8 8 8 8 9 9 10 9 9 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 10 10 9 8 7 7 8 8 7 7 7 7 8 10 11 11 11 10 9 9 8 8 9 9 10 9 9 9 9 9 8 7 7 6 6 5 6 6 8 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 7 4 -2 -9 -8 -1 4 7 8 8 7 7 7 6 6 6 6 6 6 6 6 6 nan
nan 9 9 8 8 8 8 9 9 10 9 9 8 7 6 6 6 6 7 7 8 8 8 8 8 9 10 11 11 10 9 8 7 7 7 7 6 6 7 7 9 10 11 11 10 9 9 8 8 8 9 9 8 9 9 10 10 10 8 7 6 6 5 5 6 6 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 7 7 7 8 8 8 8 9 9 10 10 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 1 -6 -8 -4 3 7 9 9 8 8 7 7 7 6 6 6 5 5 6 6 6 nan
nan 9 9 8 8 8 8 9 9 10 9 8 8 7 6 6 5 6 6 7 7 7 7 7 8 8 9 10 11 10 10 10 8 7 6 6 6 5 5 6 8 9 10 10 9 8 8 8 8 9 9 9 8 8 9 10 10 10 9 7 6 5 5 5 5 5 5 6 7 8 8 8 8 9 10 10 10 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 7 5 -0 -5 -4 3 9 12 11 10 9 8 8 8 7 6 6 5 5 5 5 6 6 nan
nan 9 9 8 8 8 9 9 9 9 9 8 8 7 7 7 6 6 6 6 6 6 6 6 7 8 9 9 10 10 11 11 10 7 7 6 6 5 5 6 7 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 7 5 4 4 5 6 6 6 6 7 7 8 8 9 10 10 10 10 9 9 9 9 9 9 10 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 8 8 7 6 7 7 7 7 4 1 -1 4 12 16 16 13 11 10 9 9 8 7 6 5 5 5 5 6 6 6 nan
nan 10 10 9 8 8 9 9 9 8 7 7 8 8 8 7 7 6 6 6 6 6 6 6 6 7 8 9 10 11 12 12 10 8 8 8 8 7 6 5 6 7 9 10 10 10 9 8 8 8 8 8 8 9 8 7 7 8 7 7 6 6 6 7 8 8 7 7 7 7 7 8 9 11 11 10 9 8 8 8 9 10 10 10 9 9 9 8 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 7 6 5 5 7 12 17 18 15 13 11 10 9 8 7 6 5 5 5 5 5 6 6 6 nan
nan 11 11 10 9 9 9 9 8 7 6 6 7 8 7 7 7 7 7 7 7 8 8 8 7 6 6 7 9 10 11 11 10 9 9 10 9 9 7 6 6 7 8 10 10 10 10 9 9 8 7 7 7 7 7 7 7 8 7 7 6 7 8 9 9 9 8 7 6 7 6 7 8 10 10 9 8 7 8 9 9 10 10 9 9 9 9 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 7 7 7 9 12 14 13 12 11 11 9 7 5 4 5 4 4 5 5 5 6 6 7 nan
nan 12 12 11 11 10 10 9 8 7 6 7 7 7 7 7 8 9 10 10 10 10 10 8 6 5 5 6 7 7 8 9 10 10 11 11 11 10 8 7 6 6 7 8 8 9 10 11 11 10 8 7 6 6 7 7 8 9 8 7 7 8 9 10 9 9 7 7 7 7 6 6 7 8 8 8 7 7 8 9 9 9 8 7 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 9 8 8 9 8 6 3 1 2 4 4 4 5 5 6 6 7 7 nan
nan 11 12 12 12 11 11 10 9 8 8 8 7 7 7 7 9 11 11 11 10 9 7 5 4 4 5 6 7 6 7 8 9 10 11 11 11 10 9 8 7 7 7 7 7 9 10 11 11 10 9 8 8 8 8 9 10 11 10 9 8 8 9 9 9 9 8 7 8 8 7 7 8 8 8 7 6 7 9 9 9 8 7 8 8 7 7 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 7 6 4 3 2 1 -1 -4 -4 0 2 4 5 5 6 6 6 7 7 nan
nan 11 11 11 11 11 10 10 9 9 9 8 8 7 7 8 9 9 9 8 7 6 5 4 5 5 6 7 8 8 8 8 8 9 10 10 10 10 10 9 9 8 7 7 8 8 9 9 9 8 9 9 10 10 10 11 12 12 11 10 8 8 8 8 9 8 8 8 9 9 8 9 9 9 8 7 6 7 9 9 9 8 9 9 9 8 8 8 8 8 8 8 9 9 10 10 11 11 11 10 9 10 10 9 9 9 9 8 8 8 8 8 8 9 9 7 3 -2 -5 -7 -7 -8 -9 -5 -0 3 4 5 6 6 6 7 7 7 nan
nan 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 8 7 5 5 5 6 6 6 7 7 8 8 9 10 10 9 9 9 9 9 9 9 10 10 9 8 8 8 7 7 8 8 8 9 10 10 11 11 11 11 12 12 12 10 8 7 6 7 8 8 7 7 8 9 9 10 10 10 9 8 8 8 9 8 8 9 9 10 9 9 9 9 9 9 9 9 8 9 10 11 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 8 5 1 -3 -6 -6 -5 -6 -4 -0 3 4 5 5 6 6 6 6 6 6 nan
nan 8 8 9 9 9 8 8 8 8 8 8 8 9 9 8 7 6 5 5 6 7 8 8 8 8 9 10 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 7 7 8 8 8 9 10 10 10 10 10 11 12 12 12 10 8 7 7 7 7 7 6 7 7 8 8 9 10 10 9 9 10 10 9 8 8 8 9 9 9 9 10 10 10 10 10 9 8 8 9 9 9 10 10 10 10 10 11 11 10 10 9 8 8 8 8 8 8 8 6 4 3 3 3 4 3 3 4 5 5 5 5 6 6 6 6 6 6 6 nan
nan 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 7 7 6 7 9 9 9 9 9 9 9 10 11 10 9 9 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 10 9 7 7 7 7 7 7 7 6 6 8 9 9 9 10 11 11 10 8 7 7 8 8 9 9 9 10 11 11 10 9 8 8 8 8 9 9 10 10 10 10 10 11 11 10 9 8 7 7 7 8 8 7 6 6 7 8 10 10 9 6 5 5 5 5 5 6 6 6 6 6 6 7 nan
nan 7 7 7 8 8 8 8 8 8 9 9 7 6 6 7 8 8 8 9 10 10 10 9 9 8 9 9 9 8 8 8 8 9 9 9 9 10 10 10 9 9 8 8 8 8 8 7 8 8 8 8 9 9 9 9 9 9 9 10 10 9 8 7 8 8 8 8 6 5 5 6 6 7 9 10 11 10 9 7 7 7 8 8 8 8 8 9 10 10 9 9 9 9 9 9 9 9 10 9 9 9 9 10 10 10 9 8 8 7 7 8 9 9 8 8 8 9 10 9 6 3 2 3 5 5 5 5 5 6 6 6 6 7 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
4 7 9 11 14 14 13 15 16 17 18 19 22 26 31 34 32 32 31 23 22 21 21 20 19 19 22 25 24 18 13 12 9 5 2 2 2 2 2 2 2 3 5 9 16 21 26 29 32 42 63 77 53 37 27 13 6 4 3 2 3 6 10 11 10 4 8 13 17 19 19 20 20 16 9 4 1 0 1 1 0 0 0 0 10 52 133 230 346 484 602 324 134 136 185 204 230 252 233 186 145 139 141 140 140 151 158 175 216 249 242 226 232 250 275 303 320 286 241 229 252 298 309 349 340 342 421 540 675 810 900 922 942 946 905
5 8 13 13 16 16 13 13 14 17 21 25 28 34 42 50 53 71 49 30 22 17 15 13 11 10 9 10 11 8 4 4 3 2 2 2 2 2 2 2 4 6 8 18 26 31 34 39 48 55 56 41 19 10 7 4 3 2 1 1 1 3 8 7 5 5 10 15 18 15 12 10 9 5 2 1 1 2 1 0 0 0 0 4 27 83 144 186 211 232 306 202 136 151 166 146 144 163 160 126 101 91 92 95 100 102 102 109 127 145 151 153 173 211 249 278 285 268 233 204 232 364 365 394 415 435 469 519 591 666 716 750 803 862 926
8 10 18 15 17 17 16 16 16 17 22 28 34 39 48 64 111 175 124 58 24 12 9 9 6 3 4 7 8 5 2 2 2 2 1 2 3 2 2 4 7 14 19 23 33 56 80 94 87 47 29 12 5 2 2 1 1 1 1 1 0 1 5 5 5 9 14 16 16 14 10 8 6 1 0 0 1 3 1 0 0 0 1 11 39 81 106 110 101 90 116 128 155 206 214 157 140 122 107 88 75 64 57 68 90 101 107 111 117 116 119 123 150 196 250 293 324 341 331 323 359 437 460 462 455 445 450 464 460 463 484 515 573 651 732
14 12 16 15 15 17 18 18 18 17 19 25 34 38 47 62 119 198 166 82 29 10 4 6 6 4 5 7 6 4 3 3 3 3 5 8 7 6 7 8 11 18 24 30 52 98 121 84 45 15 7 3 1 0 0 0 0 0 0 0 0 0 2 4 6 9 14 18 17 14 10 6 2 0 0 0 0 2 1 0 0 0 2 12 33 72 55 46 41 36 43 61 95 142 158 111 88 80 73 66 61 52 43 52 76 90 99 107 123 116 113 122 137 142 155 184 231 280 270 282 331 331 349 355 344 340 349 361 382 406 424 417 441 479 519
18 16 14 13 13 14 15 18 19 19 18 22 30 37 45 52 63 84 80 49 22 10 5 4 7 8 6 7 6 6 6 6 5 3 5 8 9 10 13 15 21 34 48 81 112 116 95 38 11 5 2 1 0 0 0 0 0 0 0 0 0 0 0 1 4 6 10 13 13 9 5 2 0 0 0 0 0 0 0 0 0 0 2 13 38 51 37 26 23 21 21 25 38 59 81 77 63 54 52 51 43 39 39 36 40 54 67 70 84 84 79 71 61 58 60 81 136 195 189 164 151 164 181 198 218 235 242 260 320 351 373 365 364 377 411
17 17 16 15 14 13 13 17 21 21 21 23 28 36 42 41 33 27 21 14 7 3 3 4 5 8 10 11 10 9 10 10 7 6 9 11 15 25 36 42 63 85 86 100 100 62 31 9 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 7 3 1 0 0 0 0 0 0 0 0 0 0 0 1 14 40 47 34 24 22 22 21 20 23 29 47 62 42 33 35 34 30 29 30 25 26 34 44 48 49 48 46 39 27 28 42 71 131 180 184 149 126 131 138 148 162 158 158 167 209 239 258 271 289 321 369
20 21 20 21 19 17 17 19 21 22 22 24 28 32 35 35 25 14 7 5 4 4 5 5 7 10 13 19 18 17 18 18 17 17 21 23 46 81 111 119 126 110 72 38 20 9 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 3 16 43 62 49 34 32 33 31 28 29 39 42 59 59 46 33 25 25 28 33 19 21 25 36 47 46 37 36 37 29 37 50 68 106 152 165 156 148 132 118 125 123 98 89 91 109 131 149 168 192 218 242
28 28 26 27 23 19 18 19 20 20 21 21 22 26 28 27 18 9 5 4 5 7 9 11 14 16 21 28 29 29 32 35 35 33 36 57 160 171 143 124 100 62 29 12 6 5 4 1 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 1 5 17 42 61 63 59 58 57 51 45 37 52 64 67 65 52 34 25 23 24 22 18 19 23 32 46 50 41 39 42 44 47 47 52 69 90 105 123 132 120 115 134 108 74 60 60 63 69 79 91 108 125 130
42 36 30 29 24 18 16 16 17 17 17 15 17 18 19 17 10 5 4 6 8 10 16 22 25 29 35 39 45 67 100 101 56 61 124 191 274 182 89 37 16 10 10 9 8 6 2 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 22 43 55 59 67 74 75 66 61 54 60 62 58 48 35 27 25 22 22 19 19 22 26 29 34 37 31 32 34 30 25 26 32 42 53 67 89 109 119 111 122 98 73 63 55 49 52 59 72 87 108 121
48 45 38 28 21 16 13 12 13 15 13 12 13 13 12 10 6 5 8 12 16 23 33 46 61 69 65 53 56 86 124 127 89 57 83 62 47 37 24 11 7 10 11 9 5 2 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 1 4 12 30 51 58 58 63 68 73 63 58 54 51 48 43 36 29 26 23 20 16 15 19 24 26 26 24 22 20 21 22 21 19 18 20 24 32 46 63 86 101 96 93 83 76 70 62 52 53 62 78 87 114 142
60 46 33 24 22 20 16 13 11 13 11 13 12 10 9 10 10 11 18 27 39 58 85 109 130 116 80 50 42 54 67 68 60 37 25 10 4 8 14 17 18 16 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 16 34 58 67 58 53 54 58 53 46 41 38 36 32 31 27 24 20 18 17 15 18 23 26 26 23 19 18 15 16 18 20 20 19 18 21 27 40 62 70 70 71 71 68 65 67 68 66 67 75 85 107 123
71 47 33 33 37 35 26 18 16 16 14 14 13 11 10 18 24 35 61 100 156 216 196 158 127 81 42 24 19 21 29 36 32 19 10 4 4 12 16 15 12 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 20 42 69 70 55 46 43 44 45 43 39 35 33 31 29 26 22 21 20 21 23 24 26 30 30 25 18 16 14 15 15 17 19 21 21 22 23 29 34 40 44 46 47 44 48 56 61 65 64 66 76 88 95
83 53 45 61 77 78 67 54 47 43 38 37 28 30 40 59 81 100 108 107 111 112 106 93 70 47 31 22 19 17 18 20 16 11 12 15 14 13 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 8 18 36 58 49 37 33 32 34 40 44 41 37 34 31 29 28 24 23 24 25 29 30 31 31 29 23 17 14 14 14 15 17 19 20 22 22 23 24 24 27 29 28 27 26 29 33 37 42 47 50 56 62 68
117 79 80 109 132 129 109 88 81 73 76 72 82 75 64 55 45 35 31 36 43 43 37 37 38 39 40 39 33 25 19 22 15 9 15 16 10 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 7 13 26 31 30 28 26 27 31 38 43 41 39 36 31 29 29 27 27 27 28 30 32 29 27 24 20 17 16 14 13 14 16 18 21 21 22 25 25 23 23 22 21 19 20 20 20 22 25 28 33 37 39 45
175 139 141 151 142 115 82 59 61 68 69 53 46 38 30 25 22 22 27 31 30 30 29 30 32 35 38 37 31 23 21 27 17 11 12 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 10 18 25 25 23 23 25 30 37 42 41 38 35 32 30 30 30 30 29 28 26 25 22 20 19 18 18 17 14 14 14 18 20 19 16 18 23 25 25 25 24 21 17 17 17 16 16 17 19 21 24 25 29
154 128 124 109 82 56 38 30 34 40 35 24 18 19 21 24 28 29 31 32 27 24 23 25 28 30 29 22 14 10 12 17 15 11 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 11 14 18 21 22 22 24 29 33 36 38 36 31 29 28 27 27 27 26 24 18 15 16 16 16 16 16 16 15 17 16 16 16 14 12 14 20 23 24 24 22 21 18 16 14 13 13 14 14 15 17 18 21
76 45 29 24 23 20 22 25 29 25 17 15 18 27 39 47 43 33 29 29 27 25 24 22 20 19 18 16 5 3 4 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 9 10 14 19 20 21 23 24 27 30 33 31 27 25 23 22 21 20 18 15 14 14 14 14 14 14 14 13 12 11 11 12 12 11 11 13 19 23 22 22 21 20 19 18 15 12 12 12 12 13 13 13 13
28 14 9 8 7 12 21 29 36 24 17 15 20 40 69 82 61 35 27 28 27 23 18 13 8 5 6 9 4 5 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 2 4 6 8 10 13 18 20 20 21 22 23 25 27 27 24 22 19 18 16 14 12 12 13 13 13 12 12 12 11 9 8 6 7 8 9 10 11 12 18 19 20 20 20 20 19 18 16 11 10 10 10 10 10 10 9
14 9 6 6 5 9 17 29 42 23 18 18 20 36 61 72 52 32 27 30 24 12 4 1 0 0 0 1 1 4 8 16 11 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 3 6 8 10 12 16 20 20 20 20 21 23 24 23 22 21 18 15 12 11 11 11 11 12 11 10 9 8 7 5 5 5 5 6 7 8 9 10 14 15 16 17 17 17 17 16 14 10 8 8 7 6 6 6 6
8 6 3 2 2 5 8 15 29 21 21 23 25 29 32 33 31 27 27 27 16 5 1 0 0 0 0 0 0 1 2 19 21 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 0 0 0 0 0 0 2 4 7 9 11 16 19 19 20 19 19 20 21 21 21 20 17 12 11 10 10 9 9 9 8 7 6 5 4 4 4 5 5 5 5 7 7 8 9 10 12 13 13 13 13 12 10 7 6 6 5 4 4 4 4
2 2 1 1 2 2 3 4 13 19 26 29 27 27 26 27 28 26 27 20 9 2 0 0 0 0 0 0 0 0 0 5 7 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 1 3 6 8 9 11 15 18 19 19 19 19 19 20 21 19 14 10 10 9 9 8 8 6 5 4 3 3 2 2 2 3 4 4 5 5 6 6 6 7 8 9 8 8 8 8 7 4 4 4 3 3 3 3 4
1 1 1 1 1 2 2 2 7 18 28 26 21 23 26 28 26 29 23 12 4 1 0 0 0 0 0 0 0 0 0 0 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 4 7 8 9 12 15 18 19 19 19 19 20 20 17 13 9 8 8 8 6 5 4 3 2 2 1 1 1 1 2 3 3 3 3 3 3 3 4 5 5 5 6 6 7 6 5 3 3 2 2 2 3 3
1 2 2 2 2 2 3 3 5 11 16 16 16 23 30 29 19 11 3 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 0 0 0 0 0 0 0 0 0 0 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 7 9 10 12 15 18 19 19 18 18 17 13 10 8 7 7 5 3 2 2 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 2 3 4 4 6 6 6 4 2 2 2 2 3 3 4
1 1 2 2 2 2 3 3 3 5 8 11 16 24 29 24 14 4 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 9 10 12 15 16 16 16 15 13 10 8 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 5 3 2 2 2 2 2 2 3
2 2 2 2 2 3 3 3 2 3 7 18 31 45 42 23 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 8 9 9 10 10 10 11 10 8 6 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 2 3 3 3 2 2 2 2 2 2 2 2 2
2 2 2 2 2 3 3 3 5 9 17 26 25 20 16 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 0 0 0 0 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 8 8 7 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 1 1 1 1 2 2 2 2 2 2 2 2 2
2 2 2 2 2 2 2 2 2 8 20 24 12 4 10 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 7 7 7 7 6 5 5 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 1 1 1 1 1 2 1 2 2 1
1 1 2 2 2 2 2 2 1 2 6 9 4 0 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 5 5 4 4 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 1 1 1 1 1 1 1 1
2 2 2 1 1 2 2 1 1 0 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1
1 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
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