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