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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 7 6 6 7 7 8 8 8 8 8 8 8 8 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 9 9 8 8 8 8 7 7 8 8 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 7 7 9 13 18 22 24 21 13 7 5 4 3 3 3 3 3 4 7 8 9 8 8 7 7 7 7 8 9 9 9 7 6 5 5 7 8 9 8 6 6 6 7 8 10 10 10 8 6 6 7 7 7 7 7 7 7 9 11 10 9 8 8 8 7 7 8 9 8 7 5 4 4 4 6 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 10 12 12 10 10 nan
nan 6 6 5 5 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 8 8 8 9 8 8 8 8 8 9 8 8 8 8 8 7 7 8 9 9 9 9 8 8 8 9 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 7 7 7 10 15 21 24 22 17 11 6 4 3 3 3 2 2 3 4 6 8 8 8 8 8 7 7 8 8 8 8 7 5 4 4 5 7 8 8 8 6 5 5 6 7 8 8 8 7 6 6 7 7 7 8 8 8 6 6 8 9 8 8 7 7 7 7 9 9 8 6 4 4 5 6 8 9 9 9 10 10 11 11 11 11 10 10 10 9 9 8 7 7 9 11 12 11 10 9 nan
nan 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 7 8 8 9 9 9 8 8 8 9 9 9 8 8 8 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 11 17 22 22 19 14 10 7 4 3 4 3 2 2 3 5 6 7 7 8 8 8 8 8 8 8 7 7 5 4 3 4 6 7 8 8 7 6 5 5 6 6 7 7 6 6 6 6 7 8 9 10 10 9 6 3 4 6 7 7 6 6 5 6 8 9 8 6 5 5 8 10 11 10 9 8 8 9 9 10 11 12 11 11 10 10 9 7 6 6 8 10 10 9 8 8 nan
nan 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 8 8 8 9 9 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 7 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 12 16 18 18 15 12 9 7 5 3 2 2 1 2 3 5 7 7 8 9 9 9 9 9 8 7 7 6 5 4 4 5 7 8 8 8 7 6 5 5 5 5 5 6 6 6 7 8 9 11 11 12 11 9 6 3 2 4 6 6 5 4 4 4 6 9 9 8 8 9 11 13 12 10 8 6 6 6 7 8 10 11 11 10 9 8 7 6 5 6 7 8 8 8 7 7 nan
nan 7 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 9 9 9 10 9 9 8 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 6 6 7 8 8 7 8 8 9 9 9 8 8 8 7 7 8 8 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 10 13 14 14 13 11 9 8 6 4 2 -0 -1 -0 2 4 6 7 8 9 9 10 10 10 9 8 7 7 6 6 6 6 7 8 8 8 7 6 5 4 4 3 3 4 5 6 7 9 10 12 14 14 12 11 9 7 5 5 6 6 5 4 2 2 3 5 9 11 11 12 13 14 13 12 10 8 6 6 6 7 9 10 10 10 8 8 7 6 5 6 6 7 8 7 7 6 7 nan
nan 6 6 6 7 7 7 7 6 6 6 7 7 6 6 6 6 6 6 6 5 5 6 6 7 8 9 9 9 10 10 11 10 9 8 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 8 9 9 8 8 8 8 7 7 8 8 9 8 8 8 8 9 9 8 8 8 9 11 11 11 10 9 8 8 8 8 8 8 9 8 8 8 7 7 7 8 9 12 14 14 13 11 9 7 5 4 3 2 1 1 1 3 5 7 7 7 8 10 11 12 11 10 9 8 8 8 9 9 9 9 9 9 9 8 7 5 4 3 1 1 2 3 5 8 10 12 14 15 14 11 9 9 8 8 9 8 7 4 2 1 1 3 5 8 10 13 15 15 13 11 10 10 9 8 7 6 7 9 9 9 9 9 7 6 5 6 7 8 9 9 8 7 7 7 nan
nan 6 6 6 6 7 7 7 7 7 7 8 7 7 6 6 6 6 6 6 5 6 6 6 7 8 9 9 10 10 10 11 11 10 9 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 10 11 11 11 10 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 10 12 14 14 13 11 8 4 2 2 4 4 4 4 5 6 6 6 6 7 8 10 11 12 12 10 9 9 10 11 12 12 13 12 12 12 11 11 10 8 5 3 1 0 1 2 4 7 10 12 14 14 12 9 8 9 10 11 11 9 6 3 2 1 2 3 6 8 10 13 16 15 10 8 7 9 10 9 8 6 6 6 7 8 10 10 8 5 5 6 9 10 11 11 9 7 6 7 nan
nan 6 6 6 6 7 7 7 7 7 8 8 8 8 7 7 7 7 6 6 6 6 6 7 7 7 7 8 9 10 9 9 9 10 9 8 7 7 7 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 8 8 7 7 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 10 10 10 10 9 9 8 8 7 8 8 7 7 7 7 7 8 8 8 9 10 12 14 14 13 12 8 3 0 1 3 5 7 7 7 7 7 7 7 8 9 10 11 11 10 10 10 10 11 11 12 13 13 14 14 13 14 14 13 12 10 6 3 1 1 2 4 7 10 13 14 13 11 9 8 10 11 11 11 9 6 4 3 3 4 5 7 9 10 12 14 13 9 6 5 6 8 9 8 6 4 3 4 7 11 11 7 2 3 5 8 10 12 11 10 8 6 8 nan
nan 7 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 7 7 7 7 8 9 8 8 8 8 9 8 7 7 7 8 8 8 8 7 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 10 10 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 9 9 10 12 13 14 14 12 9 4 0 0 3 5 7 8 9 8 8 8 9 10 10 10 9 9 9 9 10 10 10 10 10 10 11 12 12 12 13 14 14 15 14 11 7 5 3 4 6 9 13 15 15 13 11 9 9 10 11 11 11 10 7 5 5 7 8 9 9 7 6 6 8 11 10 7 4 4 6 9 9 7 6 5 5 8 10 9 4 -0 0 3 6 9 10 11 10 8 7 9 nan
nan 8 7 6 6 6 7 7 7 6 6 6 7 7 8 8 8 8 8 8 7 8 8 9 9 8 7 7 7 8 8 8 7 7 8 8 8 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 9 9 10 9 9 8 8 9 9 9 8 8 7 7 7 8 8 8 9 9 8 9 10 11 12 13 13 13 11 8 4 2 2 4 7 8 9 9 9 10 11 11 11 10 8 7 7 8 9 9 9 9 8 8 8 9 9 9 9 10 11 12 13 14 14 12 9 7 7 9 11 14 15 15 12 10 9 9 9 8 9 9 10 9 8 9 11 12 12 8 3 0 1 4 9 12 11 7 5 6 7 8 7 8 9 10 10 9 6 1 -2 -1 2 4 6 8 9 9 9 8 10 nan
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nan 10 8 6 5 5 5 6 7 7 7 7 7 7 6 7 8 9 9 10 10 9 8 7 7 8 9 10 10 10 10 10 10 10 9 9 8 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 8 8 8 9 10 10 10 10 10 10 11 12 12 12 11 10 9 9 8 8 7 7 7 9 11 14 15 16 17 16 14 11 9 6 5 6 6 7 7 9 12 17 19 18 12 6 2 1 2 3 5 7 8 8 7 6 5 4 5 5 7 8 9 9 9 9 9 10 10 11 12 14 16 16 14 10 7 5 6 9 8 6 4 3 3 3 5 8 11 10 8 7 7 6 4 4 5 6 5 4 5 9 13 12 9 4 -2 -5 -3 3 6 5 4 4 5 7 7 6 4 2 2 4 7 9 11 nan
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nan 7 7 6 6 6 7 8 8 8 8 8 8 8 8 7 8 9 10 11 12 12 11 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 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 7 7 7 8 8 9 9 9 9 9 10 11 13 15 16 17 16 15 14 13 12 11 11 11 10 10 10 11 11 11 10 10 10 11 9 6 6 9 12 11 6 1 -0 1 4 8 12 15 12 7 1 -2 -1 2 4 7 9 10 11 11 11 11 11 9 8 8 8 9 10 10 9 8 8 9 9 10 10 10 10 11 12 14 13 11 10 11 11 10 10 10 9 8 7 7 8 9 9 9 8 8 7 6 6 6 6 6 6 4 2 1 3 10 14 14 12 10 9 8 7 7 7 8 9 9 9 8 7 5 4 6 9 11 12 nan
nan 7 6 7 7 8 8 9 9 8 7 7 8 8 8 8 8 9 10 11 12 12 11 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 9 9 9 9 10 11 14 16 18 19 18 18 16 14 12 11 11 11 12 12 12 12 11 11 10 9 8 9 11 9 6 4 6 8 8 4 2 3 6 10 12 12 10 6 2 -1 -0 2 5 7 8 9 10 9 9 9 11 13 13 11 10 9 9 9 8 8 8 8 9 10 11 11 11 9 8 9 10 11 10 9 10 10 8 7 6 6 4 3 4 6 8 9 9 9 7 7 7 6 5 5 5 6 5 4 2 1 4 9 10 10 10 10 10 10 8 6 5 6 6 7 8 8 5 5 7 10 11 10 nan
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nan 7 6 7 7 8 8 8 8 8 7 7 7 7 7 8 9 10 10 11 11 11 11 11 11 10 9 9 9 10 10 10 10 9 9 9 9 8 8 8 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 9 9 9 10 12 14 16 18 19 19 17 17 16 15 13 11 10 10 11 12 12 13 13 13 12 12 11 10 8 7 6 4 3 4 5 5 0 -2 1 4 6 5 2 0 -0 2 4 5 6 6 6 7 8 10 11 11 11 12 13 15 15 13 11 10 9 8 7 7 8 10 12 13 13 11 7 1 -1 1 5 7 8 11 12 11 9 8 8 7 6 5 4 5 7 9 9 8 8 8 6 5 5 6 9 9 6 4 3 3 2 2 3 4 6 8 9 9 8 6 3 2 1 2 1 1 3 7 10 9 8 nan
nan 7 6 6 6 7 7 7 7 7 7 7 7 7 8 8 9 10 10 11 11 11 12 12 12 11 10 9 10 10 11 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 9 9 10 11 14 18 21 24 24 22 19 16 14 12 11 10 9 9 10 11 12 14 14 13 13 12 11 10 8 6 5 6 9 11 11 7 1 -4 -3 -0 2 3 3 3 3 5 7 8 7 7 8 10 11 11 11 10 10 10 12 14 15 13 11 9 8 8 7 7 9 10 12 12 12 11 7 0 -4 -2 2 6 8 11 14 12 10 9 8 8 6 5 5 5 7 9 9 8 7 7 6 5 6 8 12 13 10 7 5 4 4 3 3 3 3 4 5 7 8 9 7 5 3 1 -0 0 2 6 8 8 7 nan
nan 7 6 6 7 7 7 7 8 8 7 7 7 8 8 9 9 10 10 11 11 12 12 12 12 12 11 10 10 11 11 10 10 9 9 9 9 8 8 8 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 7 8 8 8 7 7 7 7 7 8 9 10 11 14 19 24 28 30 29 25 21 16 12 10 10 10 9 8 8 10 13 14 15 14 14 13 11 10 7 5 4 7 12 17 17 12 4 -3 -5 -2 1 5 6 7 7 8 10 10 10 11 13 13 12 10 9 8 8 9 11 13 14 13 10 9 8 7 7 8 10 11 12 12 12 11 7 0 -5 -3 2 7 9 12 14 13 10 8 7 6 5 5 5 6 7 8 7 6 5 6 6 7 8 11 14 16 13 10 8 7 6 6 5 4 3 3 3 5 8 10 10 8 5 3 2 2 3 4 5 6 5 nan
nan 7 7 7 7 8 8 8 8 8 8 7 8 8 9 10 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 9 11 14 19 25 30 33 31 26 21 17 14 11 10 9 10 9 6 6 7 11 14 16 17 16 14 12 9 6 3 3 6 11 15 15 11 4 -2 -4 -2 1 5 8 9 10 12 13 13 13 14 15 13 10 7 6 6 7 9 11 12 13 11 9 8 7 8 9 10 11 11 12 13 13 11 7 0 -4 -1 4 8 10 12 13 13 10 7 6 6 5 6 6 7 7 6 6 5 5 6 8 10 12 15 17 17 15 12 11 10 10 9 8 7 5 3 3 5 7 9 10 9 7 6 5 5 4 4 4 4 4 nan
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nan 8 7 7 8 9 9 10 9 9 9 8 9 10 10 10 10 10 11 11 11 12 12 12 11 11 10 10 10 10 10 9 9 8 9 9 8 8 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 11 12 15 17 19 18 17 15 13 11 9 9 12 14 13 11 8 5 3 2 2 4 6 6 7 9 10 10 9 8 8 9 10 9 6 3 0 -1 -1 0 2 3 5 6 9 12 16 18 14 9 6 5 5 5 6 7 9 12 14 16 14 10 6 4 5 8 11 13 12 10 7 5 3 3 4 5 4 4 5 7 10 12 12 11 9 7 5 5 6 6 7 9 10 10 9 9 11 14 16 16 15 14 13 13 13 13 12 12 10 10 8 7 6 5 5 5 5 5 7 8 8 7 7 6 7 8 10 11 10 8 nan
nan 7 7 7 8 8 9 9 9 9 8 8 9 10 10 10 11 11 11 11 11 12 12 12 11 11 10 10 10 10 10 9 9 8 8 8 8 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 8 8 8 8 8 8 8 8 8 9 9 10 12 13 15 16 16 15 14 12 11 10 10 12 14 14 12 8 3 0 1 2 2 1 3 4 7 10 12 14 15 14 13 12 13 12 9 5 1 -1 -0 2 4 5 5 5 7 9 11 13 11 7 6 6 7 8 8 9 12 15 18 17 14 9 5 3 5 9 13 14 13 10 7 4 1 -1 2 6 8 9 9 9 11 12 11 8 5 4 4 5 7 9 10 11 11 11 11 11 14 16 16 14 12 11 10 11 12 12 11 9 8 7 6 5 4 5 5 6 6 6 7 8 8 7 6 5 6 9 11 12 12 10 nan
nan 7 7 7 7 7 8 8 8 8 8 8 9 10 10 10 11 11 11 11 12 12 12 12 12 11 10 10 10 10 10 10 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 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 12 14 16 15 14 13 13 12 11 11 12 13 12 10 6 2 -2 -1 1 4 4 0 -1 2 5 9 12 14 16 17 16 16 16 16 13 9 5 4 5 7 9 10 9 8 8 8 9 10 9 7 6 7 8 9 10 11 14 18 19 18 14 9 6 4 6 10 14 15 12 10 7 4 1 1 6 13 17 17 16 14 12 11 9 6 3 2 1 3 7 10 12 12 13 13 14 15 16 16 14 12 11 10 9 10 11 11 11 9 8 7 6 4 4 5 7 9 10 9 8 8 9 9 8 7 7 10 13 13 11 10 nan
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nan 9 9 8 8 8 8 7 7 7 8 8 9 10 10 11 11 11 12 12 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 10 11 13 15 17 20 21 18 15 13 12 11 10 9 7 4 3 2 2 4 10 16 17 14 8 2 -1 -1 1 5 9 11 12 12 12 13 13 13 12 12 14 15 16 16 17 19 21 21 17 13 10 7 5 4 3 4 5 7 10 13 16 18 17 14 11 9 8 8 10 11 11 9 7 5 4 6 10 14 18 21 22 18 13 10 8 7 5 3 2 4 5 8 11 14 15 15 14 14 13 12 11 10 10 10 10 10 9 9 9 9 8 8 7 4 1 1 4 8 10 11 10 10 12 12 10 7 5 7 12 16 14 11 8 nan
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nan 8 7 6 6 5 5 5 5 5 5 5 5 6 6 7 7 7 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 12 13 14 18 23 27 27 24 15 7 5 5 7 9 13 16 18 17 15 14 13 12 12 13 13 13 11 8 8 8 11 14 13 11 8 6 5 5 5 6 6 7 8 9 10 9 8 9 11 12 13 13 12 11 10 9 7 5 4 3 4 5 7 8 10 11 12 14 15 16 17 18 17 15 12 9 8 8 9 9 9 9 9 9 8 8 8 9 10 11 11 14 16 13 10 7 6 7 8 7 7 7 9 10 10 9 7 6 7 9 11 11 10 9 10 12 13 14 14 14 14 13 11 11 11 11 10 10 9 8 8 8 8 8 7 6 6 6 6 7 7 8 8 8 8 7 8 10 14 16 16 15 15 15 14 10 5 2 1 2 4 7 9 nan
nan 8 7 6 6 5 5 6 6 5 5 5 5 6 7 7 7 6 6 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 12 13 15 18 22 25 26 22 16 7 4 5 7 10 13 16 18 18 17 15 14 13 12 12 11 9 7 6 6 9 13 15 12 7 4 3 4 5 7 7 7 8 9 10 10 9 8 8 9 10 11 12 12 12 11 10 9 8 7 6 6 6 7 7 7 8 9 10 12 13 14 17 19 19 17 12 9 8 9 9 9 9 9 9 9 8 8 8 9 10 11 13 14 13 10 9 9 10 10 8 6 5 5 6 6 5 5 4 5 7 9 11 10 9 9 10 11 12 12 13 13 12 10 10 10 11 11 10 9 8 8 9 9 9 9 10 11 11 10 10 9 9 9 9 9 10 11 13 15 16 16 15 15 14 11 8 5 3 3 4 6 8 9 nan
nan 8 7 6 5 5 5 6 6 6 6 6 6 6 7 7 7 6 6 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 11 12 12 13 15 18 22 25 26 23 16 8 4 5 7 10 12 15 18 19 18 16 14 13 12 11 9 7 5 4 5 9 14 16 13 7 4 2 4 8 11 13 12 12 13 13 13 11 7 6 6 7 8 9 9 9 10 10 10 10 10 9 9 8 7 7 7 7 7 8 8 8 10 14 17 20 19 15 12 10 9 9 9 9 9 10 10 9 8 8 9 9 11 13 14 15 14 12 11 9 8 8 7 5 4 4 3 4 5 6 6 8 9 11 12 11 10 10 11 11 11 11 10 9 9 9 10 10 11 10 10 10 10 11 10 10 10 11 13 13 13 12 10 9 9 10 12 14 16 17 17 15 12 11 10 9 7 5 5 5 5 6 7 8 9 nan
nan 8 7 6 5 5 5 6 7 7 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 10 10 11 12 12 13 14 18 22 26 29 25 17 10 5 5 7 10 13 15 18 20 19 16 14 12 11 10 9 8 6 5 5 8 14 18 16 10 6 4 5 10 14 16 16 15 16 17 16 13 8 7 7 8 9 9 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 7 6 6 9 13 17 18 17 15 12 11 10 9 9 10 10 10 10 9 9 10 11 11 12 14 16 15 13 10 8 8 9 8 6 4 2 3 6 8 9 9 9 10 11 12 12 11 11 11 11 11 10 9 9 10 11 11 11 10 10 10 11 11 11 10 9 9 9 10 12 12 12 10 10 10 12 15 17 18 17 14 10 6 5 4 4 4 3 4 5 7 8 9 9 10 nan
nan 8 8 6 5 5 5 6 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 10 10 10 11 11 12 13 14 17 23 28 30 28 19 11 6 5 7 9 12 15 18 20 18 16 13 11 10 10 10 9 7 5 5 7 13 18 19 16 10 7 7 10 13 13 13 13 13 16 16 14 11 11 12 12 12 11 10 8 7 7 7 8 8 8 8 10 12 14 15 15 14 13 11 8 7 7 9 12 15 16 15 13 12 11 10 10 10 10 10 10 10 10 11 12 12 12 12 12 12 10 9 10 10 10 8 6 3 2 4 8 10 11 10 9 8 8 9 10 11 10 11 11 11 10 8 8 11 12 13 13 13 12 11 11 10 10 9 8 7 7 8 10 11 11 11 10 11 14 16 18 16 13 8 3 2 4 5 5 5 5 6 8 10 11 11 11 10 nan
nan 8 8 7 5 5 6 7 8 8 7 7 7 7 7 6 6 6 6 6 7 7 7 7 6 6 7 7 8 8 8 8 9 9 9 9 10 10 10 11 11 12 13 15 17 22 28 30 28 20 10 5 4 6 8 11 13 16 18 18 15 12 10 9 9 10 9 8 6 5 7 12 17 20 19 16 12 10 10 11 10 8 8 8 10 11 11 11 10 11 13 14 14 12 10 8 6 6 7 7 7 8 11 15 17 18 17 17 15 14 12 10 10 10 11 12 13 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 12 13 12 10 9 7 5 4 6 9 11 10 9 7 6 6 6 7 9 9 10 10 10 9 8 8 10 12 13 13 13 13 13 13 12 11 9 8 7 8 9 11 12 13 12 11 12 14 16 16 15 11 6 3 3 5 6 6 6 7 8 10 13 14 13 11 9 nan
nan 8 7 7 6 6 6 7 8 8 7 7 7 7 7 6 6 6 6 7 7 7 7 7 6 6 6 7 8 8 8 8 9 9 9 9 10 10 10 11 11 12 13 15 17 21 26 30 28 20 9 3 3 5 8 10 12 14 16 18 17 14 11 10 9 9 8 7 6 5 7 10 15 19 19 17 14 11 10 10 9 8 7 7 7 8 8 8 7 8 10 12 14 14 12 10 9 8 8 8 8 10 12 15 16 15 13 11 11 10 10 10 11 11 11 11 11 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 13 15 15 12 10 9 9 9 9 10 12 12 10 9 7 5 4 3 5 8 9 9 8 7 8 8 9 10 11 10 8 7 8 11 13 13 11 10 7 6 7 10 13 15 15 13 12 12 13 14 13 12 10 7 5 5 5 4 5 6 7 8 11 14 14 13 10 8 nan
nan 7 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 9 9 10 10 11 11 12 13 14 17 20 25 29 27 20 10 4 4 6 9 11 13 15 17 18 19 17 15 13 10 8 6 5 4 5 6 8 12 16 17 17 15 12 11 10 9 9 9 9 9 9 9 8 7 6 7 10 11 11 10 10 10 10 10 11 11 12 13 12 11 8 6 5 5 5 6 7 9 11 11 11 10 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 12 14 16 15 11 9 8 10 12 14 15 16 15 12 9 8 6 4 3 5 8 10 8 6 5 7 9 10 10 9 6 3 2 3 7 9 9 9 7 4 2 4 7 11 14 14 13 11 12 11 10 9 8 8 7 6 6 6 5 6 6 7 8 10 11 12 12 10 10 nan
nan 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 6 6 6 7 8 8 8 8 8 8 8 9 9 10 10 11 12 13 14 17 21 25 28 28 21 12 6 5 6 9 12 14 17 18 19 20 20 19 17 13 9 6 5 3 3 4 6 10 14 17 17 15 13 10 8 7 7 8 9 10 11 11 10 9 9 8 8 7 6 7 9 11 12 13 14 14 14 11 8 6 5 3 4 5 5 6 7 9 10 10 9 9 8 8 8 8 9 9 10 10 10 10 10 11 10 11 11 12 12 13 13 14 14 11 9 8 8 9 11 14 18 20 19 16 12 9 8 8 8 8 9 9 6 4 4 7 9 10 10 8 6 3 2 3 5 6 7 7 6 4 2 3 5 8 10 11 11 10 9 8 7 6 6 6 6 7 7 8 10 10 9 7 6 7 8 10 11 12 13 nan
nan 6 5 5 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 8 8 8 8 8 8 8 8 9 9 10 11 12 13 15 16 20 25 28 28 22 13 8 6 6 7 10 12 14 16 18 20 22 22 21 17 13 10 8 6 5 5 5 8 13 16 17 15 11 7 5 4 4 4 6 8 10 11 11 11 11 10 9 7 6 7 9 11 12 13 14 15 13 10 8 7 8 10 10 10 8 8 8 8 9 8 8 8 8 8 9 10 10 11 11 11 11 11 11 11 11 11 11 12 13 13 13 12 11 11 11 10 9 9 8 11 15 19 21 20 16 13 12 12 12 10 8 6 3 2 4 7 10 11 11 11 9 6 5 5 6 7 9 10 10 9 7 5 5 6 8 11 11 9 7 5 5 5 6 8 9 9 10 11 11 11 10 7 5 5 6 7 10 12 13 nan
nan 6 6 5 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 6 5 5 6 7 8 8 8 8 7 7 8 8 9 10 11 12 13 14 17 20 25 28 28 24 15 8 6 4 5 7 9 11 13 16 19 21 23 22 21 18 15 13 11 9 8 6 8 12 16 16 14 9 5 4 4 4 5 6 7 9 10 10 10 10 10 10 9 9 9 9 9 10 10 12 13 12 11 12 14 17 20 18 14 10 7 6 6 7 8 9 10 10 10 10 10 11 12 12 12 12 12 11 11 10 10 10 11 11 11 10 9 10 13 15 14 10 7 5 7 11 15 17 19 17 14 11 10 10 9 7 5 2 1 4 7 9 12 14 14 11 7 4 4 5 8 10 12 13 12 10 8 8 8 9 12 12 9 6 4 4 5 7 8 10 12 13 12 11 10 8 7 5 5 6 7 8 10 11 nan
nan 7 6 6 6 6 7 7 7 7 7 7 6 6 5 5 6 6 6 7 7 7 7 7 7 6 6 5 5 6 7 7 8 7 7 7 8 8 9 10 11 11 12 14 16 20 25 29 30 25 16 9 5 3 3 4 7 10 12 14 16 18 19 19 19 19 17 15 13 11 9 9 11 15 17 18 16 12 8 8 9 10 11 12 12 11 10 8 8 8 8 9 10 10 9 8 7 6 7 9 11 12 14 16 18 20 21 18 14 9 5 4 4 7 10 10 10 10 9 9 9 9 10 11 12 12 11 11 10 9 9 9 9 9 9 8 7 10 14 16 15 10 5 4 5 7 10 12 13 14 10 5 3 4 8 10 10 7 4 3 5 8 11 15 15 11 6 2 2 3 5 7 9 11 11 11 11 10 10 11 12 12 10 8 6 5 6 7 9 11 13 14 14 12 9 7 6 6 6 7 8 9 11 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
48 56 56 47 37 30 25 25 31 36 44 45 42 36 27 23 27 29 27 25 22 21 20 19 18 17 16 17 20 28 33 29 24 23 24 26 25 25 25 24 24 24 23 21 21 18 17 16 15 16 25 38 46 48 47 41 31 20 11 10 9 9 10 14 17 13 7 8 8 8 8 8 9 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 1 1 1 47 117 214 350 520 687 690 494 283 154 91 48 8 1 27 285 164 56 9 2 12 37 68 96 126 153 166 154 121 96 93 104 121 136 160 244 390 500 548 620 667 692 712 728 729 699 620 555 561 612 653 670 668 623 565 576 633 664 655 633 655 769 952 1052 934 695 472 335 286 287 299 253 201 159 129 108 88 64 34 7 1 0 0 0 0 0 0 3 42 47
55 59 57 40 30 25 23 25 29 30 35 40 45 42 30 24 28 31 24 17 15 15 17 17 16 15 15 18 23 29 33 34 30 33 30 28 27 27 26 25 24 23 22 20 20 19 17 16 15 15 17 24 32 38 38 33 27 19 12 10 9 8 7 8 10 9 8 8 6 6 8 9 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 5 4 4 3 3 3 3 3 3 3 3 3 3 2 1 0 2 63 131 242 397 560 660 620 397 177 75 31 11 0 0 0 0 5 1 0 0 7 32 73 114 138 148 147 137 122 113 113 123 132 145 159 213 338 485 569 635 643 629 651 687 709 698 647 568 505 526 585 614 599 553 513 518 565 597 614 618 629 693 821 912 806 562 388 325 316 310 283 225 172 136 109 89 71 50 23 0 0 0 0 0 0 0 0 2 13 5
59 61 57 42 30 23 22 24 24 22 24 26 28 28 28 25 22 20 16 13 12 13 15 16 16 15 15 19 22 26 28 28 27 28 29 29 29 28 28 26 25 24 22 21 20 19 17 16 15 15 16 19 20 20 20 20 19 14 10 9 8 7 7 7 8 8 8 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 3 3 3 3 3 3 3 3 3 3 2 1 1 3 16 73 148 297 463 613 663 550 310 92 18 3 0 0 0 0 0 0 0 0 1 16 51 100 140 162 163 144 123 109 105 109 121 132 159 185 215 305 451 586 670 683 640 615 625 637 632 598 524 413 399 467 538 556 529 501 501 537 565 588 611 609 600 615 618 534 353 308 321 322 276 210 168 143 116 95 80 66 44 19 0 0 0 0 0 0 0 0 0 0 0
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55 55 55 47 33 24 22 21 22 24 24 24 25 26 27 28 24 19 16 16 17 18 20 21 19 17 19 26 29 32 34 35 35 31 28 30 30 29 26 25 25 25 23 20 19 18 17 16 16 15 15 14 14 13 12 11 11 11 11 9 8 7 7 7 8 7 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 3 3 4 4 4 4 5 5 6 6 6 5 4 4 4 4 4 3 3 3 3 4 4 4 4 3 2 0 1 9 34 85 211 458 640 630 465 246 72 0 0 0 0 0 0 0 0 0 0 0 11 49 92 124 138 137 127 109 91 74 71 89 115 132 147 179 226 267 289 330 419 536 618 647 620 558 513 482 464 485 578 629 603 543 498 471 463 470 476 476 531 565 535 450 351 290 292 314 302 310 284 254 229 197 160 137 127 113 80 32 3 0 0 0 0 0 0 0 0 0 0
60 56 53 41 28 24 25 27 28 28 25 24 26 27 27 29 25 21 18 17 16 18 22 24 25 21 24 31 35 35 35 37 38 36 32 30 30 27 26 25 24 24 23 21 20 18 17 17 16 15 15 14 13 12 12 11 11 11 11 10 9 6 6 7 8 7 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 5 4 3 3 3 3 3 3 3 4 4 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 2 0 0 1 32 67 149 318 454 379 214 84 18 0 0 0 0 0 0 0 0 0 0 2 14 58 99 123 132 128 113 94 77 60 56 75 102 127 149 179 215 242 250 253 293 392 528 628 673 557 467 437 474 560 645 636 548 468 443 416 380 357 361 391 494 529 487 413 336 304 321 306 270 309 334 355 359 325 258 202 171 160 141 73 18 1 0 0 0 0 0 0 0 0 0
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57 58 49 35 26 26 28 27 25 24 23 24 25 24 23 21 21 20 19 22 24 22 19 17 18 21 33 39 36 32 33 36 39 39 37 32 28 26 24 23 22 21 20 20 19 17 17 17 15 14 14 14 13 13 12 11 10 10 9 7 5 5 7 9 8 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 3 1 1 1 6 21 57 45 21 13 17 11 1 0 0 0 0 0 0 0 0 0 0 0 2 21 57 94 112 111 111 110 112 103 73 34 40 51 61 81 105 131 162 195 218 215 196 191 238 347 448 438 356 394 470 504 483 418 335 315 336 296 218 173 187 273 387 321 190 193 235 256 234 194 204 303 427 458 447 460 429 347 296 293 347 219 77 12 0 0 0 0 0 0 0 0 0
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57 65 67 64 57 42 32 28 39 52 52 51 46 46 43 32 24 21 23 32 36 37 35 36 37 32 35 43 41 32 25 23 25 23 21 21 22 20 16 14 14 15 15 14 13 14 14 13 12 13 13 13 12 11 12 12 11 10 9 8 8 8 7 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 5 4 3 3 3 3 2 2 2 1 1 1 1 1 2 2 2 3 3 3 2 3 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 5 23 46 33 6 0 0 0 0 0 0 0 6 39 79 102 108 117 120 108 84 64 57 58 56 48 37 30 31 43 69 117 189 262 294 306 251 182 169 208 305 371 422 460 479 477 447 379 269 231 280 372 448 476 498 542 498 356 205 101 52 33 42 104 196 248 268 295 299 250 238 261 296 328 326 275 184 90 18 2 0 0 0 0 0 0
61 63 63 62 57 47 35 30 43 50 53 57 59 54 43 31 25 21 22 28 36 46 49 45 39 30 27 28 32 26 19 17 19 18 18 19 19 15 11 11 12 13 12 12 12 12 13 14 14 13 13 12 11 10 11 11 11 10 9 9 9 8 7 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 1 1 1 2 2 2 2 2 3 3 3 3 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 26 67 95 101 101 105 89 67 56 57 61 59 55 47 40 38 40 49 67 103 164 254 325 264 187 169 214 310 367 388 389 384 395 415 420 413 398 413 422 424 431 451 479 466 354 222 133 87 62 53 83 142 205 211 239 276 260 238 248 279 297 300 285 237 147 49 5 0 0 0 0 0 0
55 55 57 56 49 40 34 34 47 48 52 55 55 52 42 32 30 26 21 24 37 57 62 55 43 34 28 22 24 21 16 15 14 13 14 17 16 12 9 10 11 11 9 9 9 10 11 11 12 13 13 13 11 11 11 11 10 9 9 9 9 8 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 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 8 40 73 86 85 83 66 52 56 62 58 53 54 54 53 48 42 37 33 37 57 104 187 122 80 116 204 285 324 318 289 274 304 371 450 515 520 447 376 344 369 393 361 316 240 143 115 110 96 73 67 93 132 164 190 198 193 199 225 251 252 249 261 251 178 58 5 1 0 0 0 2 7
52 52 52 48 46 41 38 45 57 56 56 49 45 40 35 32 33 28 26 34 49 66 74 70 52 37 31 28 24 19 15 15 14 12 12 13 12 8 8 9 10 10 8 7 8 10 10 10 11 12 13 13 12 11 11 11 10 9 8 8 8 8 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 3 3 3 3 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 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 1 14 40 60 62 53 44 44 55 53 45 41 47 58 69 72 66 63 71 71 56 44 87 29 27 96 190 258 288 289 284 302 348 396 443 481 468 372 290 281 330 332 257 171 120 65 78 112 137 126 90 79 98 120 133 132 127 134 157 181 185 185 206 213 177 94 20 2 0 0 0 6 20
52 52 47 38 40 45 45 51 56 55 56 51 43 38 33 29 28 27 31 43 54 63 67 64 54 35 31 37 34 23 14 18 14 10 10 11 10 8 9 9 10 9 7 6 8 9 9 10 11 12 14 13 11 11 11 11 10 8 8 8 8 7 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 3 3 3 3 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 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 4 17 34 39 35 34 38 42 38 34 34 42 60 83 104 120 139 164 150 96 46 38 27 23 59 140 221 271 299 336 382 415 427 419 407 387 332 289 316 349 297 194 113 85 55 92 140 193 204 167 125 113 118 118 104 85 74 80 99 119 129 145 144 151 134 61 13 1 0 0 4 22
54 54 45 35 35 41 43 43 46 47 49 49 40 34 30 27 25 26 31 44 47 52 52 50 47 35 24 29 31 23 17 21 17 12 10 11 12 12 12 12 12 9 6 5 7 8 9 10 11 13 14 12 11 11 12 11 9 9 9 9 8 7 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 3 3 2 2 2 1 1 0 0 1 1 1 1 2 2 1 1 1 1 1 1 1 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 1 5 16 25 26 25 26 26 27 26 28 41 67 101 144 192 234 248 193 106 48 39 40 28 33 90 166 223 259 289 316 340 386 402 405 410 410 408 441 448 366 246 165 135 89 166 247 280 278 246 201 170 154 142 121 96 72 61 67 83 98 106 104 123 121 73 21 0 0 0 4 20
48 47 48 42 40 40 39 39 41 43 42 40 37 32 29 29 27 26 32 39 38 41 37 35 36 36 30 28 26 20 18 22 21 14 10 12 14 15 15 14 12 8 6 6 7 9 11 13 13 13 13 12 11 11 11 10 9 8 9 9 8 8 7 6 6 6 6 6 5 4 4 4 4 4 4 4 3 3 3 2 2 1 1 0 0 0 0 0 1 2 2 2 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 14 16 15 14 14 15 18 23 44 79 129 197 276 345 377 324 185 81 42 38 38 40 66 112 153 179 188 191 219 312 388 437 489 536 567 590 592 534 410 264 190 223 299 312 313 303 280 250 223 200 179 160 141 128 119 116 116 116 105 108 109 81 37 8 0 0 3 13 32
45 45 48 41 44 46 45 45 45 41 41 37 30 27 28 31 31 29 31 32 31 32 29 27 26 30 35 33 28 18 14 18 19 15 12 13 15 15 15 13 11 10 8 7 7 9 12 14 14 13 13 12 12 12 12 10 9 8 8 8 8 9 6 6 6 6 6 6 5 4 4 4 4 4 4 4 3 3 3 2 1 1 0 0 0 0 0 1 1 2 1 1 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 1 4 7 9 9 10 12 16 24 46 85 148 241 349 447 512 488 329 171 86 62 62 62 69 92 114 128 138 154 194 281 373 442 522 598 652 678 692 687 606 467 389 382 360 299 287 274 255 238 224 208 191 174 164 168 176 179 172 154 128 117 90 50 16 1 0 0 7 30 51
46 48 47 43 42 45 45 45 43 41 40 41 29 29 29 31 32 32 32 27 25 26 25 24 22 23 28 33 28 19 13 18 17 14 13 13 12 11 13 12 12 14 14 11 13 13 13 14 14 14 13 12 11 11 11 11 9 8 8 9 9 8 6 6 6 6 6 6 5 4 4 4 4 4 4 4 3 3 2 1 1 1 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 0 0 2 3 7 10 13 17 23 38 68 129 237 373 496 564 572 429 234 120 82 83 90 90 96 109 118 131 157 203 271 345 423 523 614 682 724 753 773 733 649 555 446 333 265 242 227 209 196 190 188 184 177 174 188 195 205 205 183 145 104 64 30 8 0 0 1 8 38 59
44 45 48 45 41 42 37 34 34 37 39 40 31 33 30 30 31 30 27 23 21 21 20 20 22 21 22 22 21 19 18 23 19 14 14 14 14 14 14 12 14 14 14 15 14 15 15 14 14 14 13 12 10 11 11 11 9 8 9 9 8 7 6 6 6 6 6 5 5 4 4 4 4 4 4 4 3 3 2 1 0 0 0 0 1 3 6 7 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 2 3 8 12 15 21 40 90 183 310 439 519 521 426 251 118 55 48 72 102 124 142 151 147 157 185 231 290 364 486 601 679 715 715 696 681 592 464 345 263 219 197 180 163 155 159 169 180 186 193 203 200 198 198 182 140 88 48 21 5 0 0 1 10 49 65
41 41 42 34 32 34 34 33 33 35 35 33 29 25 26 28 29 27 24 22 19 21 19 19 25 28 24 19 18 18 21 23 18 15 15 16 17 19 18 14 15 13 13 13 13 14 14 13 14 14 13 12 11 12 11 10 9 8 8 9 8 7 6 6 6 6 6 5 4 4 4 4 4 4 4 3 3 3 2 1 0 0 0 3 15 41 51 37 17 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 2 4 5 8 25 68 136 201 273 311 321 303 222 101 29 10 23 53 91 128 150 145 153 169 195 233 278 370 464 517 526 502 467 454 380 292 219 178 161 150 142 135 138 152 170 184 192 199 198 193 184 182 172 142 97 56 28 7 0 0 1 12 58 75
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35 32 29 23 22 26 26 25 26 25 23 20 18 20 22 24 26 27 26 25 24 24 27 27 24 22 22 23 21 20 20 23 24 21 19 18 18 18 16 14 14 14 13 15 14 14 14 14 14 13 11 11 11 11 11 11 10 9 8 7 7 6 6 6 6 5 4 4 4 4 4 4 4 3 3 3 3 3 2 1 0 5 36 79 52 42 30 9 3 10 25 27 23 16 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 45 63 14 3 1 1 1 1 0 0 0 0 0 0 1 3 4 4 5 7 13 26 44 63 76 81 92 108 117 114 115 145 158 156 158 172 191 208 216 229 230 219 201 186 182 184 182 150 100 55 25 6 0 0 0 0 15 47 79
28 26 28 27 28 27 23 17 18 18 18 17 18 19 20 24 24 26 28 27 27 30 28 24 22 24 24 21 21 21 22 23 23 21 20 18 17 16 15 14 14 14 14 14 13 13 14 14 13 13 12 11 11 11 11 10 9 9 8 7 6 6 6 5 6 4 4 4 4 4 4 4 3 3 3 3 3 2 1 0 0 8 32 63 35 48 28 9 7 11 17 18 14 9 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 16 33 48 48 57 75 94 112 139 186 211 208 199 199 209 221 226 239 250 234 216 206 199 179 144 106 68 36 13 0 0 0 0 0 9 31 53
23 23 25 30 29 27 23 18 16 16 16 16 18 21 23 27 25 22 24 27 28 32 30 25 24 26 28 24 23 24 24 22 21 21 19 18 18 17 16 15 15 14 14 13 13 13 13 13 12 12 11 11 11 11 11 10 9 8 8 7 6 6 6 6 6 4 4 4 4 4 4 3 3 3 2 2 2 1 1 0 0 3 9 15 13 31 17 10 6 1 1 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 23 47 65 58 57 66 81 101 131 171 200 210 217 222 230 237 242 250 278 270 258 248 229 193 159 165 161 105 46 11 1 0 0 0 6 20 33
23 25 26 27 27 25 21 22 22 20 19 20 19 19 22 25 26 28 27 27 25 24 25 23 21 23 23 22 23 24 22 21 20 19 18 18 17 16 15 15 15 14 15 14 14 14 13 13 12 11 11 11 11 11 12 9 8 8 7 6 6 6 6 6 5 4 4 4 4 4 3 3 3 2 2 2 1 0 0 0 0 0 0 0 1 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 36 63 78 77 71 73 84 101 121 143 161 175 197 220 240 252 255 261 291 296 293 281 258 235 231 265 310 259 147 52 7 0 0 0 3 9 13
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21 21 20 19 18 15 12 10 10 10 11 11 13 16 17 18 20 23 23 23 26 28 25 22 21 24 25 22 20 21 21 19 19 18 16 16 15 14 14 15 14 12 12 13 14 14 13 12 11 10 11 11 10 8 8 8 7 7 6 6 6 5 5 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 17 22 20 13 6 4 3 4 8 7 7 20 21 32 70 114 150 180 215 257 282 311 326 297 234 185 133 75 41 35 44 50 44 27 6
17 17 18 17 16 12 10 9 10 10 10 10 12 16 16 16 14 16 24 25 23 22 25 25 23 25 23 21 21 21 21 19 19 18 17 17 15 15 15 14 13 11 11 13 14 14 13 12 11 10 10 10 9 8 8 7 7 6 6 6 6 5 4 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 2 20 43 67 96 137 191 239 285 317 267 160 58 18 20 72 148 204 220 201 153 40
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13 14 13 13 11 10 10 10 8 7 6 5 5 5 5 6 7 10 13 17 18 19 19 19 18 17 16 16 15 13 14 13 12 12 11 10 10 11 10 8 8 8 7 6 6 6 6 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 16 28 35 35 27 18 12 13 25 44 52 53 49 41 30 20 14 7 5 3 1 1 0 3 17 46 81 107 110 103
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13 12 12 10 8 7 8 8 7 6 5 5 4 4 4 5 6 9 12 16 18 18 17 17 17 16 15 14 14 14 12 11 11 10 10 10 10 10 8 8 8 8 7 6 6 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 13 14 11 8 7 9 20 43 93 129 137 128 118 114 114 119 108 74 50 48 50 44 31 17 11 37 94 135 126 90 94
11 10 9 9 8 7 10 9 7 6 5 4 4 5 5 5 5 8 12 15 16 17 16 16 16 15 15 14 14 13 11 10 11 11 11 10 9 8 8 8 8 7 7 6 6 6 5 4 4 3 3 3 3 3 3 3 2 2 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 2 4 12 38 105 152 170 168 156 142 138 149 146 118 88 83 90 86 68 44 26 37 95 123 121 105 91
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9 9 9 9 10 11 8 6 5 4 5 5 5 5 4 4 6 8 11 13 14 15 15 14 14 14 13 13 12 11 11 10 11 11 10 9 8 8 8 8 7 6 6 6 5 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 18 78 149 179 159 172 164 138 128 117 92 53 24 14 19 58 112 129 164 152 132 122
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