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 nan nan nan nan nan nan nan nan
nan 15 13 12 12 12 11 10 9 9 9 8 8 9 8 7 6 8 11 11 9 9 9 8 7 7 7 7 7 7 7 6 5 6 8 9 11 10 8 6 7 7 7 5 1 -3 -3 -0 3 5 6 6 7 7 8 10 12 13 14 13 10 7 5 2 -0 -1 2 6 8 7 6 8 13 17 15 10 5 4 5 7 9 8 3 0 1 3 5 7 7 7 7 7 7 7 8 7 5 4 4 4 4 3 1 -5 -9 -6 2 8 9 9 8 7 6 6 5 5 4 4 3 3 4 4 3 3 3 2 2 2 2 2 3 3 3 4 5 5 6 7 7 8 8 9 9 8 8 9 9 10 10 11 11 11 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 4 4 5 5 5 5 5 5 6 6 7 7 8 7 7 7 7 6 6 6 6 nan
nan 10 10 10 10 10 10 9 9 8 7 7 7 8 8 7 6 7 8 6 4 5 6 5 3 3 5 5 5 6 6 5 5 6 7 9 10 9 8 7 8 10 12 11 8 3 -0 0 3 4 5 5 5 5 5 5 5 6 6 6 4 3 0 -2 -4 -4 -0 4 6 7 7 10 13 13 11 8 5 5 7 9 10 7 2 -1 0 3 6 7 7 7 7 7 8 8 8 7 6 5 5 5 5 5 2 -4 -10 -8 1 7 8 8 8 8 8 7 7 7 7 6 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 6 7 7 7 6 6 6 7 8 8 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 5 5 5 4 4 4 4 5 5 5 5 5 6 7 7 8 8 8 8 7 7 6 6 6 nan
nan 7 7 8 9 10 10 9 8 7 6 6 7 7 7 7 8 8 7 4 2 2 3 2 1 1 2 2 3 5 5 4 4 5 6 7 8 8 8 8 9 12 13 14 12 8 4 2 2 3 4 5 5 5 4 2 2 1 1 2 2 2 1 0 -1 -2 -1 2 5 7 8 10 10 9 8 5 3 3 6 9 10 6 0 -2 1 4 6 7 8 8 8 7 7 7 7 7 7 7 6 6 6 6 3 -4 -10 -8 0 6 7 7 7 8 7 8 8 9 9 8 8 7 7 6 6 6 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 5 6 7 6 5 5 5 5 6 6 7 7 7 8 8 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 6 6 6 5 5 5 4 4 4 4 5 5 5 5 6 6 7 7 8 8 8 8 8 7 7 6 nan
nan 5 5 7 9 11 11 10 9 8 6 5 5 6 7 7 8 8 6 3 2 2 3 3 2 1 1 2 3 5 5 4 4 5 5 6 6 6 7 9 10 12 13 13 11 8 4 2 1 1 2 3 4 5 5 3 1 0 0 0 1 1 2 3 3 2 1 2 4 6 8 9 7 5 4 2 1 1 4 9 9 5 -1 -2 1 4 6 7 8 8 7 7 7 6 7 7 8 8 6 6 6 6 3 -3 -8 -6 0 5 7 7 7 7 7 7 7 8 9 9 8 8 8 7 7 6 6 6 6 6 6 6 5 5 4 4 3 3 3 3 4 5 5 5 5 5 4 4 5 5 5 5 5 5 6 6 7 7 8 8 9 10 10 11 11 12 12 12 12 12 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 7 7 8 8 8 8 8 8 8 7 nan
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nan 9 9 10 10 9 10 10 11 14 16 15 15 16 16 15 14 13 13 13 12 9 6 4 4 5 4 2 1 3 5 7 7 6 6 5 4 4 4 4 5 5 6 8 10 11 12 12 11 10 8 6 3 1 0 2 5 8 8 7 4 3 4 7 6 2 0 2 4 4 2 2 4 4 3 3 5 6 5 4 4 5 6 7 7 7 8 8 9 9 9 7 6 6 7 7 7 7 6 6 3 -5 -12 -9 -2 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 9 9 10 10 10 11 11 11 10 9 9 8 9 10 11 11 11 11 11 11 11 11 10 9 8 8 7 7 7 7 6 6 6 6 6 6 5 5 5 6 6 7 8 9 9 9 9 9 9 nan
nan 11 12 13 12 10 9 10 12 16 17 15 13 12 11 10 10 10 11 12 12 9 5 3 5 7 6 3 2 3 5 7 8 8 7 6 5 4 3 3 3 4 5 6 8 10 11 11 11 11 10 8 6 3 1 1 2 4 5 6 6 6 8 9 7 3 1 3 5 4 2 2 4 5 4 3 4 4 3 3 5 7 7 7 7 8 8 9 9 9 9 8 7 7 8 8 8 7 7 6 3 -7 -14 -9 -1 3 4 4 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 11 11 12 13 12 12 12 12 12 11 10 9 9 8 8 7 7 7 6 6 6 6 6 6 5 6 6 6 6 7 8 8 8 9 9 9 10 nan
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nan 8 11 14 14 12 9 6 5 7 9 11 11 10 9 8 8 7 6 5 4 4 4 4 5 5 5 5 5 6 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 4 3 4 7 10 11 9 7 5 4 4 5 5 6 7 7 6 5 4 4 4 5 5 5 5 5 5 4 4 4 6 7 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 4 -3 -11 -12 -6 -0 2 2 2 3 3 4 4 4 5 5 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 5 5 4 3 3 3 3 3 4 4 4 5 5 5 6 6 6 6 7 7 7 7 7 7 7 6 6 7 9 10 12 13 13 12 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 6 6 6 7 8 nan
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nan 7 7 9 10 10 9 7 6 5 5 5 5 6 6 6 5 5 4 4 4 3 3 4 5 6 6 6 6 6 6 6 7 7 8 8 8 8 7 6 6 5 5 4 4 5 6 7 7 8 9 10 11 11 9 8 7 5 4 5 6 6 5 4 4 5 5 4 4 5 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 7 6 6 5 5 6 4 -4 -12 -10 -3 1 2 2 2 2 3 4 4 4 5 5 4 4 4 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 5 4 3 3 3 4 4 4 5 5 5 6 6 6 6 6 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 13 12 10 9 8 7 6 6 6 6 7 7 nan
nan 9 8 7 6 5 5 4 4 3 4 5 6 7 8 6 5 4 4 4 4 3 3 4 5 6 6 6 6 6 6 6 6 6 7 7 8 8 7 6 6 6 7 7 6 5 5 5 6 6 7 9 11 12 11 10 9 7 5 4 4 4 4 3 4 4 4 4 5 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 6 6 6 6 5 6 6 6 6 5 5 6 5 -2 -10 -9 -4 1 2 2 2 3 3 4 4 4 5 5 5 5 4 4 3 2 2 2 3 3 4 4 5 5 4 4 4 4 4 5 5 5 5 6 6 6 7 7 7 6 6 5 4 3 3 3 3 4 4 5 5 5 5 6 6 6 6 6 6 6 7 7 8 8 8 8 8 7 7 6 6 6 6 7 7 7 8 8 9 9 9 9 9 10 10 11 11 11 11 11 11 12 12 12 12 11 10 8 7 6 6 6 6 6 7 7 nan
nan 10 9 8 6 5 4 3 3 2 3 5 6 6 6 4 4 4 4 4 4 4 3 4 4 5 5 5 6 6 6 6 6 6 6 7 7 7 7 6 6 6 7 8 7 7 6 5 5 5 4 5 8 11 12 11 8 6 5 4 4 3 3 3 3 3 3 4 5 6 7 7 7 7 6 6 7 7 7 7 7 8 8 8 8 7 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 4 -1 -6 -7 -4 -0 2 2 3 3 3 4 4 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 5 5 5 5 5 4 5 5 5 5 6 6 6 7 7 7 7 7 6 6 5 4 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 7 6 6 5 5 6 6 7 7 7 8 8 9 9 9 9 10 10 11 12 12 13 12 12 12 11 11 11 10 9 8 7 6 5 5 5 6 7 8 nan
nan 12 11 11 9 6 4 3 2 3 3 4 4 4 3 3 4 4 4 4 4 4 3 3 3 4 4 5 5 6 6 6 7 7 6 6 6 6 5 5 5 4 4 5 6 6 6 6 6 5 4 3 3 5 7 8 6 4 4 5 5 5 4 4 4 4 4 4 5 7 7 7 7 6 5 5 6 6 6 7 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 2 -1 -4 -4 -2 1 2 3 3 4 4 4 5 5 5 5 5 5 5 4 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 8 8 8 7 6 5 4 4 3 3 4 4 4 5 5 5 5 5 4 4 3 3 4 4 5 6 6 7 7 7 7 6 6 5 6 6 6 7 7 7 8 8 9 9 9 9 10 10 11 12 13 13 13 13 12 11 11 10 10 9 8 7 6 5 5 5 5 6 7 nan
nan 11 12 12 10 6 2 2 3 4 5 5 4 3 4 5 4 4 3 3 3 3 3 2 2 3 4 4 5 5 6 7 8 8 7 6 6 5 5 4 3 2 2 2 4 5 5 5 6 7 7 4 0 0 2 4 3 3 3 4 6 6 6 6 6 6 6 6 6 7 7 7 6 5 5 5 5 6 7 7 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 5 3 -2 -5 -2 1 1 2 3 4 4 5 5 5 5 5 5 5 5 5 4 3 3 3 4 4 5 6 6 6 5 5 5 5 5 5 6 6 6 7 7 8 8 8 8 8 7 6 4 4 4 4 4 4 5 5 5 5 5 5 4 3 3 3 3 3 4 5 5 6 6 6 6 6 5 6 6 6 7 7 7 8 8 9 9 9 9 9 9 10 10 12 13 13 14 14 13 12 11 10 9 8 7 6 6 5 5 5 5 6 7 nan
nan 10 9 9 7 4 2 3 4 6 6 7 7 7 6 6 5 3 2 2 2 3 3 2 2 2 2 3 5 6 7 8 9 9 8 7 6 5 4 3 2 1 1 1 2 3 3 3 5 8 10 9 4 1 1 3 3 3 2 3 4 6 8 8 8 7 7 6 6 7 7 6 6 5 5 5 5 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 4 -1 -1 1 0 -1 0 3 4 4 5 5 5 5 5 5 5 5 5 4 4 3 3 3 4 5 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 9 9 8 7 6 5 4 4 4 4 5 5 6 6 6 6 5 4 3 2 2 3 3 4 4 5 5 5 6 6 5 5 5 5 6 7 7 8 8 8 8 9 9 9 9 9 9 10 11 12 13 14 14 14 13 11 10 8 7 7 6 6 6 6 5 5 6 6 nan
nan 9 8 7 6 5 6 7 7 8 8 8 8 9 9 7 5 3 2 2 2 2 2 2 2 2 2 3 4 6 7 9 10 10 10 9 7 6 5 4 3 2 2 2 2 2 1 1 3 6 10 12 10 7 5 5 5 4 3 3 4 6 7 7 7 7 7 7 7 7 7 6 5 5 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 5 2 4 4 -1 -4 -2 2 3 3 4 5 5 5 5 5 5 5 5 4 4 3 3 3 4 5 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 9 8 8 7 6 5 4 4 4 5 5 6 6 7 7 6 5 4 3 2 2 3 3 4 4 4 4 5 5 5 4 4 4 4 5 6 7 8 8 8 8 9 9 9 9 9 9 9 10 11 12 13 14 14 13 12 10 9 7 7 7 7 7 7 6 6 6 7 nan
nan 10 10 9 9 11 12 11 10 10 10 10 9 9 8 7 5 3 2 1 1 1 2 2 3 3 3 3 3 5 7 9 10 11 11 10 8 7 6 5 5 4 3 3 2 2 1 -0 1 3 7 10 12 11 10 8 7 6 6 6 6 6 6 6 6 6 7 7 6 6 7 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 7 6 7 5 -0 -3 -1 1 0 1 3 5 5 5 5 5 5 5 5 4 3 3 3 3 4 5 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 9 9 8 7 6 5 4 5 5 5 6 7 7 8 7 7 6 4 3 2 2 3 3 3 4 4 4 4 5 4 4 3 3 3 4 6 7 8 8 8 8 9 9 9 9 9 9 9 9 10 11 12 12 13 12 12 11 10 8 8 7 8 8 8 7 7 7 7 nan
nan 12 12 12 13 15 15 13 11 10 11 11 11 9 7 5 4 3 2 1 0 0 1 2 3 4 4 3 2 4 6 9 10 11 11 10 8 7 6 6 6 5 5 4 4 3 2 1 0 1 3 6 9 11 12 12 10 9 8 8 7 6 6 7 7 6 7 7 6 6 7 7 7 8 8 7 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 8 8 7 6 3 2 2 -0 -3 -2 2 4 4 4 5 5 5 5 5 4 3 3 3 3 4 5 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 9 9 8 7 6 5 5 5 5 6 7 7 8 8 8 7 6 5 3 2 3 3 4 4 4 4 4 4 4 4 4 3 3 3 4 5 7 8 8 8 8 8 8 9 9 9 9 8 9 10 10 11 11 12 12 12 12 11 10 9 9 9 9 8 7 7 7 7 nan
nan 14 14 14 15 15 14 12 10 10 10 10 9 7 5 4 4 3 2 0 -1 -1 0 2 3 4 5 4 3 4 6 9 10 9 9 9 8 7 6 5 5 5 5 5 5 5 4 2 1 0 1 4 7 11 14 15 14 11 9 8 7 6 7 7 6 6 6 6 6 6 7 8 8 8 8 7 7 7 7 6 6 7 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 6 5 3 -1 -4 -2 3 3 1 2 4 4 4 4 4 4 3 3 3 3 4 5 6 6 6 5 5 6 6 6 6 6 7 7 7 8 8 9 9 9 9 8 6 5 5 5 6 7 7 8 8 9 8 8 6 5 3 3 3 4 4 4 4 4 5 5 5 5 5 4 4 4 4 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 12 12 12 12 11 11 10 10 10 9 8 8 7 7 nan
nan 15 14 14 14 12 11 10 9 8 8 7 5 4 3 4 4 3 2 0 -1 -1 0 2 4 5 6 7 6 5 7 9 10 8 7 7 8 8 7 6 5 5 5 6 6 6 6 4 2 1 2 5 10 14 15 16 14 12 9 7 6 5 5 5 5 5 5 5 6 7 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 7 8 7 7 5 1 -1 1 5 3 -0 1 3 3 3 3 3 3 3 3 3 3 4 5 6 6 5 5 5 6 6 6 6 6 7 7 8 8 9 9 10 10 9 8 6 6 6 6 6 7 8 8 9 9 9 8 6 5 3 3 4 5 5 5 5 5 5 6 7 7 6 5 4 4 5 6 7 8 8 8 8 8 8 8 7 7 7 8 8 9 10 10 11 11 12 12 13 13 13 12 12 11 10 10 10 9 8 7 nan
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nan 12 11 10 9 9 8 7 6 6 5 5 5 5 4 4 4 3 3 3 3 3 3 4 5 5 6 6 6 6 8 10 11 10 8 8 9 11 12 12 10 8 7 6 6 6 6 6 6 6 7 11 15 18 16 12 8 4 3 3 2 0 0 2 4 4 5 5 6 7 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 8 8 9 9 9 9 8 8 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 6 5 4 4 2 1 1 -0 -2 -2 1 2 3 4 5 6 6 5 5 6 6 6 7 7 7 7 7 8 8 9 9 10 10 9 8 7 7 7 7 8 8 9 10 10 9 8 7 6 4 3 4 5 6 6 5 5 6 7 8 8 8 7 5 3 4 6 8 9 9 9 9 9 9 9 8 8 7 7 7 7 8 9 10 10 11 12 13 14 15 16 15 13 11 10 10 10 11 11 11 nan
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nan 10 10 10 9 8 9 9 10 10 9 9 9 8 8 7 7 7 9 11 12 13 14 17 20 22 23 20 15 8 3 2 4 8 12 13 12 10 11 13 14 15 13 12 12 11 11 9 7 5 4 4 4 5 5 6 7 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 9 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 9 9 9 9 9 8 8 8 8 8 8 9 8 8 8 8 7 7 7 7 7 7 6 6 8 9 10 11 10 9 8 8 8 8 8 9 9 9 9 9 8 7 7 6 6 6 6 7 8 8 8 7 7 7 8 10 11 12 11 8 6 5 6 7 7 7 7 8 8 9 9 10 9 9 9 10 10 11 10 10 10 10 8 6 5 5 6 6 nan
nan 9 10 9 9 9 10 12 12 12 11 9 8 7 7 8 8 8 9 10 11 13 16 19 19 18 17 16 14 10 6 5 6 8 12 13 10 8 10 12 14 14 13 11 11 11 10 9 7 5 4 4 4 5 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 9 9 9 9 9 8 8 8 9 9 9 9 8 9 9 8 8 9 9 8 8 8 8 9 9 8 8 7 7 8 7 7 7 7 7 7 6 7 9 11 11 10 9 9 8 8 8 8 8 8 9 9 9 9 8 7 6 5 6 6 7 8 8 8 8 8 8 8 9 10 11 11 10 7 6 7 7 7 7 6 7 8 9 9 9 9 9 9 10 11 13 13 13 11 10 9 8 6 6 7 8 8 nan
nan 9 10 10 11 12 14 16 16 15 12 8 5 5 7 8 8 7 6 6 8 11 16 18 15 12 12 12 12 10 8 6 6 9 13 13 10 7 8 9 11 12 11 10 9 9 9 8 7 6 5 5 5 6 6 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 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 9 9 10 9 8 7 7 8 9 9 8 8 8 8 8 8 10 11 12 11 10 9 8 8 8 8 8 8 9 9 9 9 9 8 7 5 5 6 6 7 8 8 8 7 8 8 9 10 11 11 10 8 7 7 7 7 7 6 6 7 8 9 9 9 9 9 10 11 12 14 14 12 10 9 9 9 9 9 10 11 11 nan
nan 11 12 14 15 17 19 20 20 17 13 8 5 6 8 9 7 5 3 3 5 9 13 15 12 9 9 9 10 9 8 5 5 10 15 16 13 9 7 7 8 9 9 8 8 8 8 8 7 7 6 6 6 7 7 8 8 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 9 8 8 8 9 9 9 10 10 9 9 9 11 12 12 12 10 9 8 8 7 7 8 8 9 9 9 9 9 8 8 6 5 4 5 6 7 7 8 7 7 7 9 10 11 11 10 9 8 7 7 7 7 6 6 7 8 9 9 10 9 9 9 10 11 12 12 10 7 7 8 9 10 10 11 13 14 14 nan
nan 13 15 17 19 20 22 23 22 19 15 11 9 10 11 10 8 5 3 1 3 9 14 15 13 10 8 8 8 8 7 5 6 11 16 17 15 12 9 8 7 7 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 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 9 10 10 9 8 8 9 10 10 11 10 9 9 9 10 11 12 11 10 9 8 7 7 7 8 8 9 9 9 9 9 8 8 7 6 5 4 5 5 6 7 8 8 8 8 9 10 11 11 10 8 7 7 6 7 7 7 7 8 9 10 10 10 10 10 10 11 11 11 10 7 6 6 8 10 11 10 12 13 13 12 nan
nan 13 15 17 18 20 21 21 20 18 16 14 13 13 13 12 9 7 5 4 6 12 17 18 15 12 9 7 7 7 7 8 11 13 14 13 12 12 10 9 8 7 7 7 7 7 7 7 6 6 7 7 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 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 9 9 9 9 8 9 9 10 10 11 10 9 8 9 10 11 10 10 9 8 7 7 7 8 8 9 9 9 8 8 8 8 8 8 7 6 5 4 5 6 8 9 9 8 7 8 9 10 10 9 7 6 6 6 7 7 7 8 9 9 10 10 10 9 10 11 12 12 11 10 8 8 9 11 11 11 10 10 11 10 9 nan
nan 11 12 13 14 15 16 17 16 15 14 13 13 13 12 11 8 7 7 8 11 14 16 15 14 11 8 7 6 6 8 11 14 13 10 9 9 10 10 10 9 8 7 7 7 7 7 7 6 6 6 7 8 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 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 9 9 9 9 9 10 10 10 9 9 8 8 8 8 9 10 9 9 8 8 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 6 5 4 4 6 8 8 7 7 6 6 7 8 8 7 5 5 6 7 8 8 8 8 9 9 10 10 9 9 10 11 12 12 11 10 10 10 11 12 12 10 9 9 10 9 8 nan
nan 8 9 9 9 10 11 12 13 13 11 10 10 10 10 9 8 7 8 9 11 10 9 8 8 7 6 6 5 6 9 12 12 9 7 7 7 8 8 10 10 9 8 7 7 7 7 6 6 6 6 7 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 9 9 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 11 11 10 9 8 8 8 8 8 9 9 9 8 8 8 7 7 7 8 9 10 9 9 9 9 9 8 8 8 8 7 5 4 3 5 6 7 7 7 6 6 6 6 8 8 7 6 6 7 8 8 8 8 8 9 10 10 9 8 9 11 12 12 11 10 10 10 11 12 12 10 8 8 10 12 12 11 nan
nan 6 6 5 5 5 6 9 11 12 11 9 8 8 8 8 7 7 7 8 7 5 2 1 2 4 6 6 4 5 9 12 12 10 8 7 6 6 7 9 10 9 8 7 7 6 6 6 6 6 6 6 7 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 9 9 9 10 10 9 9 9 8 8 8 8 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 11 11 10 8 8 8 9 9 9 9 8 7 7 7 7 7 7 7 8 9 10 9 9 9 9 9 9 9 8 7 6 5 4 4 5 6 7 7 7 7 7 7 7 8 9 8 8 8 9 9 9 8 8 9 9 9 10 9 9 11 13 14 14 12 11 11 11 11 11 9 7 6 8 10 13 13 12 nan
nan 6 6 4 3 3 4 7 10 12 12 10 8 7 6 6 5 6 6 6 5 3 1 1 3 6 10 10 6 6 10 13 15 14 12 9 7 6 7 9 10 9 8 7 6 6 5 5 5 5 6 6 7 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 8 8 9 9 9 10 10 9 9 9 8 8 9 9 8 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 9 9 10 10 9 8 8 8 8 9 10 10 9 8 7 6 6 6 7 7 8 9 9 9 9 9 9 9 8 8 8 8 7 5 4 4 5 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 12 14 15 15 13 11 10 9 9 8 6 5 6 8 10 11 11 10 nan
nan 7 6 5 4 4 5 7 10 11 12 11 8 6 5 4 4 4 5 5 6 5 5 5 8 13 17 17 12 10 12 15 16 15 13 11 8 7 8 8 9 9 8 7 6 5 4 4 4 5 5 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 8 8 8 8 7 7 7 8 8 9 9 9 9 9 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 8 8 9 9 9 9 9 8 8 8 8 9 9 8 8 7 6 6 6 7 8 9 9 9 9 9 9 9 9 8 8 8 8 7 5 4 3 5 6 7 7 7 7 8 8 8 9 9 10 10 10 9 9 9 9 9 8 8 8 9 9 10 10 10 12 13 15 14 11 9 7 6 6 6 5 6 7 9 10 10 9 9 nan
nan 8 8 8 9 9 10 10 9 9 10 10 9 7 6 5 4 3 4 5 6 7 7 9 13 18 22 21 16 14 14 14 14 13 11 9 8 8 8 8 7 7 7 6 6 5 4 3 4 4 5 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 10 9 9 8 8 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 9 8 8 8 8 8 8 7 7 7 7 7 8 9 11 11 10 10 10 10 10 9 8 8 8 8 8 6 4 3 4 6 7 7 7 7 8 9 9 9 9 10 10 11 10 9 9 9 9 9 9 9 9 9 10 11 11 11 11 12 13 13 10 7 5 5 6 7 7 8 8 9 10 11 11 12 nan
nan 9 11 14 16 16 14 12 9 8 8 9 9 9 8 8 7 6 5 5 6 6 8 10 13 18 20 19 16 13 11 10 9 8 7 7 8 8 8 7 6 5 5 5 5 4 3 3 3 4 5 6 6 7 7 7 7 7 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 7 8 8 9 9 9 9 9 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 6 7 7 9 9 10 11 11 11 10 11 10 9 8 7 7 8 9 7 5 4 5 6 7 7 7 7 8 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 10 12 13 12 9 5 4 5 7 9 9 8 9 9 10 12 13 14 nan
nan 9 13 18 20 18 15 12 9 7 7 8 10 11 12 13 13 12 9 7 7 8 9 11 12 15 16 15 12 8 5 4 5 5 6 7 8 7 6 5 4 4 4 4 5 4 3 3 3 4 5 6 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 10 10 10 10 10 10 10 10 9 7 7 7 8 9 8 5 4 5 6 7 8 8 7 8 8 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 11 13 14 12 8 6 6 8 9 10 9 8 9 10 11 12 12 12 nan
nan 10 15 18 17 14 11 10 8 7 7 9 10 12 13 15 15 14 13 11 11 10 10 11 12 11 11 10 9 6 4 3 3 4 5 7 7 7 6 4 4 4 4 5 4 3 2 2 3 4 5 6 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 9 8 8 7 8 8 9 9 6 4 4 5 7 7 8 8 7 8 8 8 8 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 10 12 14 14 11 8 8 8 9 9 8 7 7 9 10 11 11 11 11 nan
nan 12 15 14 10 8 8 9 8 8 7 8 9 10 11 11 11 11 13 14 14 13 11 10 9 5 4 5 7 9 10 8 6 5 7 9 10 9 6 5 4 5 6 6 4 3 2 2 3 5 6 7 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 8 8 8 8 8 8 9 9 9 8 8 9 10 10 10 10 10 10 9 8 7 7 7 8 8 8 6 5 4 5 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 9 9 11 14 15 13 10 9 10 10 9 8 6 6 7 9 11 12 12 11 11 nan
nan 14 15 11 7 6 8 11 11 9 7 6 6 6 5 5 6 8 12 15 16 13 11 8 5 2 1 3 7 11 15 16 12 10 11 13 15 13 9 7 7 7 7 6 4 2 2 3 4 6 7 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 8 8 8 8 8 8 8 9 9 8 8 8 9 9 9 8 8 9 9 9 9 9 10 9 8 7 6 6 6 6 6 6 6 6 6 7 8 9 9 8 7 7 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 9 9 10 9 9 10 12 14 14 12 10 10 10 10 8 6 5 6 8 10 11 11 10 9 10 nan
nan 17 16 11 7 7 10 15 17 14 10 7 6 4 2 1 3 6 10 14 14 12 10 8 6 3 2 3 6 10 15 18 17 15 16 17 18 17 14 11 10 9 8 5 3 3 3 4 6 7 7 8 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 8 9 9 9 8 9 9 9 8 7 6 6 5 6 7 7 8 8 8 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 12 14 14 12 11 11 11 10 8 5 5 6 7 8 9 8 7 7 8 nan
nan 16 15 11 6 6 10 16 20 19 15 12 10 8 4 3 4 7 10 12 11 10 9 9 7 6 5 4 6 9 13 16 16 16 16 17 18 18 16 14 11 9 7 5 4 4 5 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 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 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 7 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 8 9 9 9 8 7 7 6 6 6 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 10 12 13 13 11 11 11 11 9 7 5 4 5 6 7 7 6 6 7 7 nan
nan 12 11 8 4 3 6 12 16 18 16 14 13 11 8 7 7 10 11 11 10 9 8 8 8 7 6 5 6 9 13 14 13 12 12 13 14 15 15 13 10 8 7 6 6 6 6 7 7 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 10 11 11 10 10 9 9 9 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 7 7 8 9 9 9 9 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 12 13 12 10 9 9 9 8 6 4 4 5 6 7 8 8 9 9 9 nan
nan 6 6 5 4 3 4 6 8 10 11 11 11 10 9 9 10 11 11 10 8 7 7 7 8 8 7 7 9 12 14 14 11 9 8 9 10 11 11 10 9 8 7 7 7 7 7 8 8 8 8 9 9 10 10 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 8 8 8 9 10 11 11 10 9 9 9 9 8 8 8 9 9 9 9 9 8 8 9 10 10 9 9 9 9 8 9 9 9 9 9 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 10 11 12 13 13 11 10 9 8 8 6 4 3 4 6 7 9 9 10 11 11 10 nan
nan 6 5 6 7 7 5 3 2 3 6 9 9 9 8 8 9 10 9 7 6 6 7 7 8 8 8 8 11 14 15 14 11 8 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 10 10 9 9 9 9 9 9 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 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 9 10 10 10 9 9 9 8 8 9 9 8 8 8 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 12 13 13 11 10 9 8 6 4 3 3 5 6 8 9 10 11 12 11 11 nan
nan 10 10 10 10 10 8 5 4 5 7 9 9 8 8 7 8 8 7 6 7 7 8 8 8 8 7 8 10 12 14 13 12 10 8 6 6 5 6 6 7 8 8 9 9 9 9 8 8 8 9 9 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 8 8 9 9 10 10 9 9 9 9 9 9 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 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 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 11 12 11 9 8 8 6 5 4 4 6 7 8 8 9 9 10 11 11 11 nan
nan 13 13 12 11 10 10 10 10 10 11 11 10 9 8 9 10 10 8 8 8 8 7 7 7 7 7 7 8 9 12 14 14 13 10 6 4 4 4 6 7 9 10 10 10 10 9 9 8 8 9 9 10 11 11 11 11 11 11 10 10 10 10 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 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 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 9 9 9 8 8 8 8 8 8 8 9 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 10 10 10 11 11 10 10 10 10 9 7 7 6 6 5 6 7 9 9 9 8 8 9 9 10 11 12 nan
nan 11 11 10 9 9 10 11 12 13 13 13 12 11 12 14 16 16 13 10 8 6 5 4 5 6 7 7 7 8 10 14 16 15 11 6 4 4 5 6 8 9 11 11 11 11 10 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 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 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 11 11 11 10 10 10 9 8 7 7 7 7 7 8 9 10 9 9 8 8 9 10 11 12 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
1518 1443 1207 817 617 546 280 91 4 0 0 0 0 0 0 7 35 91 135 92 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 1 1 1 1 2 2 3 3 3 93 143 72 22 6 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 2 5 31 126 313 539 724 839 936 1013 1103 1189 1300 1443 1509 1499 1477 1469 1463 1467 1502 1509 1478 1459 1411 1389 1405 1431 1415 1377 1382 1456 1574 1719 1906 2149 2464 2824 3095 3183 3209 3156 3086 3048 3050 3036 3030 3037 3015 2951 2870 2814 2820 2857 2842 2833 2841 2866 2848 2785 2680 2567 2439 2336 2318 2315 2279 2288 2221 1979 1894 1622 1429 1428 1470 1463 1415 1390 1398 1389 1386 1433 1440 1519 1732 1769 1904 2055 2098 2106 2136 2163 2167 2155 2140 2138 2169 2172 2151 2268 2359 2439 2508 2558 2589 2612 2662 2755 2872 2961
1035 492 216 103 16 2 0 0 0 0 0 0 0 0 20 76 139 164 115 34 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 6 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 52 144 297 482 631 767 887 981 1104 1206 1296 1368 1449 1496 1516 1552 1585 1606 1618 1589 1563 1539 1534 1534 1515 1471 1431 1422 1443 1503 1599 1717 1882 2122 2471 2904 3075 3093 3083 3070 3056 3060 3080 3112 3154 3184 3174 3135 3100 3120 3127 3083 3043 3046 3037 2983 2892 2770 2661 2577 2499 2448 2455 2472 2550 2577 2345 2129 1917 1756 1732 1750 1662 1514 1438 1404 1314 1257 1289 1324 1335 1463 1495 1610 1720 1801 1898 2000 2055 2060 2059 2046 2002 2016 2007 1963 2100 2201 2315 2442 2553 2632 2673 2718 2788 2865 2979
404 105 20 2 0 0 0 0 0 0 0 0 0 16 116 246 225 173 81 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 5 14 54 164 342 481 613 763 890 1104 1278 1372 1414 1447 1458 1474 1528 1591 1653 1700 1690 1655 1653 1667 1644 1604 1565 1544 1520 1493 1495 1542 1621 1729 1884 2140 2573 2835 2810 2833 2859 2879 2892 2936 3021 3104 3160 3196 3214 3246 3322 3330 3272 3226 3204 3151 3061 2981 2886 2783 2683 2593 2574 2577 2583 2662 2784 2743 2564 2367 2238 2111 2050 1895 1633 1480 1437 1340 1277 1261 1314 1284 1305 1337 1367 1407 1515 1668 1794 1864 1904 1946 1992 1982 1896 1893 1936 2038 2115 2198 2381 2534 2597 2672 2778 2842 2920 3009
208 53 8 0 0 0 0 0 0 0 0 0 2 52 273 422 180 76 29 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 22 76 152 290 406 537 695 870 1048 1203 1311 1362 1389 1441 1526 1599 1633 1674 1709 1766 1824 1820 1797 1774 1726 1684 1636 1582 1554 1568 1607 1663 1746 1960 2393 2625 2653 2641 2648 2659 2666 2724 2826 2893 2923 2989 3054 3143 3266 3297 3296 3279 3266 3210 3142 3096 3034 2936 2829 2749 2719 2710 2707 2759 2864 2946 2881 2729 2601 2446 2352 2218 1938 1668 1535 1477 1426 1387 1358 1328 1341 1339 1309 1322 1401 1492 1557 1627 1722 1777 1836 1828 1775 1810 1900 1994 2066 2102 2321 2527 2589 2676 2794 2855 2870 2952
313 101 12 0 0 0 0 0 0 0 0 1 11 79 299 309 66 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 8 35 94 171 234 316 431 554 695 845 959 1014 1022 1013 1022 1064 1134 1203 1270 1381 1532 1704 1798 1840 1869 1881 1843 1752 1678 1660 1660 1693 1778 1951 2347 2504 2523 2525 2504 2479 2470 2506 2569 2604 2628 2710 2786 2902 3043 3153 3170 3162 3186 3176 3143 3110 3066 2999 2917 2841 2797 2802 2803 2794 2868 2891 2893 2766 2628 2524 2481 2407 2171 1865 1717 1686 1601 1500 1494 1501 1479 1428 1371 1344 1348 1367 1409 1475 1541 1598 1650 1669 1668 1762 1878 1935 1983 2065 2267 2454 2545 2672 2810 2838 2836 2930
573 248 54 6 0 0 0 0 0 0 0 1 9 59 201 117 12 26 13 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 0 0 0 0 0 0 0 0 0 0 1 7 27 67 116 173 245 326 424 545 652 728 761 757 725 693 704 733 772 838 911 1060 1238 1382 1523 1659 1777 1808 1768 1744 1736 1761 1857 2032 2215 2261 2265 2265 2259 2244 2225 2224 2258 2305 2357 2461 2526 2642 2774 2904 2928 2939 2997 3037 3024 2986 2954 2920 2871 2831 2815 2841 2846 2769 2820 2781 2738 2690 2625 2560 2520 2440 2223 1971 1909 1907 1705 1602 1695 1679 1602 1513 1432 1377 1335 1303 1313 1352 1403 1459 1536 1638 1631 1741 1878 1925 1968 2067 2203 2341 2492 2692 2838 2849 2917 2979
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1427 889 363 69 1 0 0 0 0 0 30 28 1 43 132 131 37 31 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 22 48 111 189 270 374 476 535 559 574 593 612 617 617 639 663 670 670 678 698 727 761 834 954 1076 1167 1228 1254 1288 1365 1503 1550 1588 1622 1636 1639 1653 1685 1727 1788 1874 1947 2034 2155 2323 2434 2521 2568 2613 2654 2666 2682 2730 2747 2673 2623 2642 2636 2624 2621 2578 2515 2458 2433 2407 2374 2359 2238 2124 2176 2121 1958 2004 2076 2063 1984 1843 1670 1497 1366 1350 1389 1361 1324 1324 1356 1433 1531 1660 1806 1915 1989 2076 2165 2234 2467 2643 2759 2815 2948 3056
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