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 1 1 1 2 3 3 3 3 2 2 2 3 3 4 5 5 5 4 5 5 6 6 6 6 7 7 7 7 5 3 3 4 4 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 4 7 10 13 15 15 13 11 12 14 13 11 9 7 7 7 7 6 4 3 3 5 5 4 0 -2 3 10 14 13 8 4 3 3 4 4 4 3 2 2 1 2 3 4 7 9 10 11 12 13 15 17 19 21 22 23 21 17 15 14 14 15 16 18 21 23 25 27 28 29 29 28 26 23 21 20 19 19 nan
nan 1 1 2 3 3 3 3 4 4 4 3 2 2 3 6 8 8 7 6 6 5 6 6 6 5 4 4 4 3 3 4 4 5 5 5 5 5 5 4 4 4 4 4 4 3 3 2 2 2 2 1 2 2 3 4 5 8 11 13 15 13 10 8 12 14 13 11 9 8 8 8 7 5 3 2 3 5 6 5 1 1 6 12 14 11 6 4 3 3 3 3 4 4 4 4 3 2 1 1 2 3 3 3 5 6 7 9 11 12 12 12 11 9 8 7 8 8 9 11 12 15 17 20 22 24 25 26 25 24 23 22 21 21 nan
nan 1 2 2 3 4 5 6 7 9 9 7 4 1 1 4 8 9 9 7 6 5 5 5 5 4 4 3 3 3 4 5 5 5 5 5 5 5 5 5 4 4 4 3 3 2 2 1 1 2 2 3 3 4 5 5 6 8 11 14 14 11 8 7 7 9 9 9 8 8 8 8 7 5 3 2 4 5 6 4 2 3 8 12 11 8 5 4 4 4 4 4 5 5 6 6 5 4 3 2 2 2 2 2 2 3 3 4 4 5 5 4 3 3 3 3 3 3 4 4 6 7 9 11 13 15 16 18 19 19 18 18 17 17 nan
nan 2 2 3 4 5 6 8 11 15 18 17 11 5 2 3 7 9 8 7 6 5 6 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 3 3 2 2 2 2 3 3 4 4 5 5 5 6 7 9 12 13 11 9 8 7 5 4 5 7 8 8 7 7 7 5 4 4 4 5 5 3 2 4 9 10 7 4 5 5 5 5 5 5 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 5 7 8 8 9 10 10 10 10 9 9 nan
nan 2 2 3 4 5 7 10 14 19 24 24 19 10 4 4 7 8 7 6 6 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 6 7 9 12 13 10 6 7 7 7 6 7 8 8 7 6 6 6 6 5 4 5 5 4 1 1 6 9 7 4 4 5 6 6 7 7 7 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 3 2 nan
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nan 4 4 5 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 7 8 8 10 12 13 13 12 12 9 6 6 6 6 5 5 6 7 8 8 7 6 5 7 9 10 10 9 8 7 7 7 6 6 5 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 nan
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nan 7 7 6 6 6 6 7 7 7 6 5 6 7 9 9 8 7 7 7 6 6 7 7 7 7 7 6 6 6 7 7 8 8 7 7 6 6 6 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 10 9 9 8 7 7 6 5 3 1 0 1 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
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nan 7 8 8 8 8 7 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 8 8 7 6 6 7 7 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 2 1 4 6 7 7 7 7 7 7 6 6 6 6 5 5 6 6 6 6 6 6 6 6 7 7 7 7 8 8 7 7 7 6 6 6 6 6 6 7 7 7 nan
nan 8 8 8 8 8 7 6 7 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 6 7 7 8 8 9 9 9 8 8 7 7 7 7 7 7 6 6 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 4 3 3 4 5 6 7 8 8 7 7 7 6 6 5 5 5 5 5 5 6 6 6 6 6 7 7 7 8 8 7 7 6 6 6 6 6 6 6 7 7 7 nan
nan 9 8 8 8 7 7 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 8 8 8 7 7 7 6 6 6 6 7 7 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 6 5 5 5 6 7 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 5 4 3 4 6 8 8 8 7 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 6 6 6 5 5 6 6 7 7 7 8 nan
nan 9 8 9 9 8 7 7 8 8 7 7 7 8 8 7 7 7 8 8 9 8 7 7 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 8 8 8 7 6 5 5 5 6 7 7 6 7 7 7 6 7 7 8 8 8 8 8 8 8 7 6 7 7 6 5 5 7 8 8 7 6 4 5 6 6 6 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 6 6 5 5 6 6 7 7 7 8 8 nan
nan 8 9 9 9 8 7 7 8 7 7 7 8 8 8 8 7 7 8 8 8 7 7 8 8 9 9 9 8 8 8 8 8 9 10 10 8 7 6 6 6 7 7 8 8 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 6 6 5 6 6 6 6 6 7 7 7 6 7 7 8 8 8 8 8 8 7 6 6 6 7 7 7 7 8 8 8 6 4 2 3 5 6 6 6 5 5 5 5 5 5 6 6 6 6 7 7 7 7 6 6 5 5 5 6 7 7 7 8 8 8 nan
nan 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 9 9 8 7 6 6 7 8 8 9 9 9 10 10 10 9 9 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 7 7 6 6 7 8 8 9 9 9 9 9 7 6 6 6 6 7 7 8 8 8 8 7 4 1 2 4 5 6 6 6 5 5 5 5 5 6 6 6 6 6 7 7 7 6 6 6 6 6 6 7 7 8 8 8 7 nan
nan 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 7 7 6 6 6 6 6 7 7 8 9 10 10 10 10 11 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 7 7 8 7 7 7 6 6 7 6 6 6 6 6 6 6 7 7 8 8 9 10 10 10 8 7 6 6 6 6 7 7 8 8 8 8 8 5 3 3 3 4 5 6 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 8 7 7 7 nan
nan 8 8 8 9 7 6 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 8 7 7 6 6 5 5 6 6 6 6 6 5 5 6 6 6 7 7 8 10 10 11 11 11 11 10 10 11 11 11 11 10 10 10 9 8 8 9 9 8 7 7 7 7 8 8 7 7 7 7 7 7 6 6 6 6 6 6 7 8 9 10 10 10 10 8 6 6 6 6 6 7 7 8 8 8 8 8 7 6 5 3 3 4 6 7 8 7 7 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 nan
nan 8 8 8 8 7 6 6 7 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 6 6 5 5 5 5 5 5 6 6 5 5 6 7 7 7 7 8 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 10 9 9 9 9 8 7 7 7 7 8 8 7 7 8 8 7 7 7 7 7 7 6 6 6 7 9 10 10 10 8 7 6 6 6 6 7 7 7 8 8 8 8 7 7 7 6 5 4 5 6 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 6 nan
nan 8 8 7 7 7 6 6 7 8 8 7 8 8 8 7 7 8 9 9 10 9 8 7 6 6 6 6 6 5 5 5 5 6 5 5 6 7 7 8 8 9 11 12 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 7 8 9 9 8 7 6 5 6 6 6 7 7 8 8 9 8 8 7 7 7 6 6 6 6 5 5 7 8 9 10 11 10 9 8 7 7 7 8 7 7 7 7 6 6 6 6 6 6 6 6 6 nan
nan 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 9 9 8 8 8 7 7 6 6 6 5 5 5 5 5 5 5 6 7 8 9 10 12 12 11 9 8 8 8 8 9 9 9 9 9 8 8 9 9 10 9 9 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 6 5 4 5 6 7 8 8 7 6 5 5 6 6 6 7 8 9 9 9 8 7 6 6 6 6 6 6 6 6 5 6 8 11 13 14 13 11 9 7 7 7 8 7 7 7 7 6 6 6 6 6 6 6 6 6 nan
nan 8 7 7 7 7 7 7 7 7 7 6 6 7 8 10 10 10 10 9 9 8 8 8 8 8 7 6 6 6 6 6 6 6 5 5 6 6 8 9 10 11 12 12 10 9 8 7 8 8 9 10 10 9 8 7 7 7 8 8 9 9 9 9 8 7 7 7 8 8 8 8 8 8 7 7 7 7 6 5 4 5 6 7 7 7 6 5 5 6 6 6 7 7 8 9 9 9 7 6 6 6 6 6 6 6 6 6 6 7 8 11 14 14 12 9 5 3 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 nan
nan 8 7 6 7 7 7 7 7 7 7 7 7 8 9 10 11 10 9 9 8 8 7 8 8 7 7 7 6 6 6 6 7 7 7 6 6 7 8 9 10 12 12 12 10 9 8 7 8 9 10 10 10 9 8 7 7 6 7 7 8 9 9 9 8 7 7 8 8 8 8 8 8 8 7 7 7 8 7 6 5 5 6 7 7 7 6 6 6 6 7 7 8 8 8 9 8 7 6 6 6 6 7 7 6 6 7 7 7 7 8 9 10 10 6 0 -3 -0 4 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 nan
nan 7 6 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 8 10 11 12 12 10 9 8 8 8 9 9 10 9 8 8 8 8 8 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 7 6 5 6 7 7 7 7 7 7 8 8 8 9 9 9 9 8 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 5 -1 -7 -6 -0 5 7 8 8 7 7 6 6 6 6 6 6 6 6 6 6 nan
nan 6 6 6 7 7 7 7 8 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 6 6 6 6 6 6 7 8 10 11 11 10 8 8 8 8 8 9 9 8 8 8 9 9 10 9 8 7 7 7 8 8 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 7 6 6 7 7 8 8 8 8 8 9 9 10 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 2 -4 -7 -3 4 7 9 9 8 8 7 7 7 6 6 6 6 6 6 6 6 nan
nan 7 6 7 7 7 8 9 10 10 10 9 8 7 7 7 7 7 6 7 7 6 6 6 7 7 8 8 8 8 7 7 7 7 6 6 5 4 4 5 7 8 10 10 9 8 7 7 7 8 8 8 7 7 8 8 9 9 9 8 6 6 6 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 9 10 9 8 7 7 8 8 8 8 8 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 8 7 7 7 7 8 8 7 5 1 -4 -3 3 9 12 11 10 9 9 8 8 7 7 6 6 6 6 6 6 6 nan
nan 7 8 8 8 8 10 11 11 11 10 8 7 7 7 7 7 7 7 6 6 6 6 6 7 8 8 8 8 7 7 7 7 7 6 6 5 5 4 5 6 7 9 9 9 8 7 7 7 7 8 7 7 8 8 8 8 8 8 7 6 6 6 6 7 7 8 8 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 8 8 8 8 9 9 8 8 7 7 7 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 5 1 -0 4 11 16 15 13 11 10 10 9 8 7 6 6 6 5 6 6 6 6 nan
nan 8 8 8 9 10 11 11 11 10 9 7 6 6 7 8 8 8 7 7 6 6 6 7 7 8 8 8 8 8 7 7 6 6 7 7 6 6 5 5 5 6 7 8 9 9 8 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 7 7 8 8 8 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 6 5 6 11 16 17 15 12 12 11 10 8 8 7 6 5 5 5 5 6 6 6 nan
nan 9 9 10 11 12 12 11 10 9 8 6 6 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 6 6 7 8 8 7 6 5 5 5 6 7 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 9 9 9 8 8 8 8 8 8 9 10 10 9 9 9 8 7 8 8 9 9 8 8 8 7 7 7 8 9 10 10 9 9 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 11 13 12 11 11 11 10 8 6 6 6 5 5 5 5 5 6 6 6 nan
nan 9 10 12 13 12 11 10 9 8 6 5 6 7 8 8 8 8 8 8 8 9 9 9 9 8 8 7 8 8 8 7 7 8 9 9 9 8 7 6 6 6 6 7 8 9 9 9 9 8 8 7 7 7 7 8 9 9 9 9 8 8 9 10 9 9 8 8 8 8 7 7 8 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 7 7 8 8 8 9 9 9 7 5 3 4 5 5 5 5 5 6 6 6 6 nan
nan 10 12 13 13 12 11 9 8 7 5 6 6 7 8 8 9 9 9 8 9 9 9 9 9 8 8 8 7 8 8 8 8 10 11 11 10 9 8 7 7 7 7 8 8 8 9 10 10 9 8 8 8 9 9 10 10 11 11 10 9 8 8 9 9 9 8 8 9 9 8 7 8 9 8 8 8 8 9 9 9 8 8 7 6 6 6 7 7 7 7 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 8 9 9 8 7 7 5 4 3 2 1 -2 -1 2 3 4 5 5 5 6 6 6 6 nan
nan 11 12 12 12 11 10 9 8 7 7 7 7 8 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 11 11 10 9 8 7 7 8 8 8 8 8 8 9 9 8 9 9 10 11 11 12 12 12 12 11 9 8 7 8 8 8 8 8 9 9 9 9 9 9 8 8 7 8 9 9 10 9 9 8 7 7 7 7 6 6 7 8 9 9 9 10 10 11 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 9 7 4 -1 -4 -5 -5 -6 -7 -3 1 3 4 5 5 6 6 6 6 6 nan
nan 11 11 11 11 11 9 8 8 8 8 9 9 9 9 9 10 10 9 8 8 7 6 6 7 8 8 9 9 10 11 11 10 10 10 10 9 8 7 7 7 8 8 8 7 7 7 8 8 8 9 10 11 11 12 12 13 13 12 11 10 8 8 8 8 7 7 8 8 9 9 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 7 7 7 8 9 9 10 10 10 10 9 9 9 10 10 9 9 9 8 8 8 8 9 9 9 9 6 1 -2 -5 -5 -4 -5 -3 1 3 4 5 5 6 6 6 6 6 6 nan
nan 11 11 11 11 10 9 8 8 8 9 10 10 9 9 9 9 9 8 8 8 7 6 6 7 8 8 9 10 11 11 11 10 10 10 10 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 10 11 12 12 13 12 11 10 10 10 9 8 8 7 7 8 8 9 10 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 10 9 9 8 7 7 8 9 9 10 10 10 9 9 10 11 11 10 9 8 8 7 8 8 8 8 8 7 5 3 3 3 4 4 3 4 5 5 5 5 5 6 6 6 6 6 6 nan
nan 10 10 10 10 10 9 9 8 9 9 10 10 9 8 8 8 8 8 9 8 7 6 7 7 8 9 10 11 11 10 10 10 11 11 10 9 9 9 9 9 8 8 7 8 8 9 9 8 8 7 7 7 7 8 9 10 11 11 11 11 10 10 10 10 9 8 8 7 7 7 9 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 10 10 10 9 8 7 7 8 8 9 10 10 9 9 10 10 11 11 10 8 7 7 7 7 8 8 7 6 5 6 8 9 10 9 7 5 5 4 5 5 5 5 6 6 5 5 6 nan
nan 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 8 7 7 8 8 8 8 9 9 9 9 9 10 11 11 10 10 10 11 11 11 9 8 8 8 9 9 10 9 9 8 7 7 6 6 6 7 8 9 10 10 9 8 9 10 10 9 8 7 6 6 7 8 9 10 10 11 11 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 10 8 8 7 7 7 8 9 9 8 7 8 9 10 9 7 5 3 3 4 4 5 5 5 5 5 5 5 6 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
4 9 15 24 34 40 45 45 45 43 39 36 33 29 27 29 32 27 21 18 20 26 32 38 80 224 492 764 815 475 142 40 28 19 19 19 10 5 8 9 14 18 16 16 16 11 9 4 0 0 0 0 0 0 0 0 0 0 0 1 4 10 15 14 17 35 44 44 38 34 33 37 42 46 49 53 49 46 44 51 77 147 299 583 1010 1386 1296 778 343 294 326 312 264 219 194 204 246 284 338 454 651 508 586 662 606 503 457 457 462 474 475 436 389 370 389 439 487 534 570 574 555 529 512 489 465 475 469 437 389 325 264 223 199 187 222
4 9 18 32 49 61 63 63 63 65 66 57 41 32 29 41 87 90 81 48 30 29 45 61 65 98 225 403 421 175 67 35 38 42 44 34 19 15 17 17 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 10 11 12 27 34 41 41 37 33 30 30 34 37 41 43 40 40 43 55 85 174 384 734 1139 1337 970 403 204 204 226 208 176 161 163 169 167 165 194 262 399 396 416 463 481 457 454 492 527 573 648 679 599 504 494 499 489 483 476 460 460 448 463 476 482 503 547 565 519 458 411 376 352 362 393
4 12 23 51 85 98 103 103 109 119 122 106 71 41 34 42 122 269 355 272 126 41 41 64 63 48 105 169 147 54 46 41 30 30 34 33 38 46 31 18 4 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 5 9 20 30 33 31 29 29 27 24 26 31 34 37 37 37 39 51 77 172 390 706 1022 1079 566 226 155 155 165 168 173 176 160 130 93 81 110 162 222 247 254 266 289 315 345 382 416 448 515 640 578 458 405 384 363 348 353 346 366 411 435 451 477 502 536 579 601 577 540 512 500 506 530
5 13 33 75 108 122 133 159 201 235 236 193 126 68 39 41 179 409 507 359 138 28 26 44 62 81 194 157 79 38 48 46 32 29 37 39 43 58 36 8 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 14 23 21 18 17 20 23 23 25 27 26 27 28 28 29 39 66 146 304 499 652 670 309 186 139 121 123 138 154 152 124 96 66 60 68 89 107 129 152 169 180 200 222 244 262 270 289 306 284 277 270 262 250 252 272 301 340 372 402 424 453 486 513 538 563 562 570 558 551 567 586
7 15 43 86 117 131 167 243 343 423 447 406 316 191 73 65 145 252 286 174 55 17 37 97 165 193 263 189 153 173 167 119 83 85 95 83 51 31 16 6 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 12 14 13 16 18 18 21 25 24 20 17 17 16 17 29 61 132 245 291 295 215 173 147 119 96 91 99 107 96 82 68 62 59 46 47 51 61 81 106 126 139 149 162 168 169 171 162 155 178 195 195 179 191 199 209 246 286 311 331 360 400 431 461 508 506 495 499 497 485 465
6 18 47 90 118 140 213 335 463 557 616 662 649 430 161 128 156 160 111 48 23 40 124 272 336 302 262 275 281 298 242 163 134 138 135 114 65 25 12 7 3 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 10 11 12 12 13 18 15 10 6 4 4 8 21 56 128 172 152 122 90 95 105 97 82 77 76 75 62 53 48 42 36 30 35 44 51 62 82 108 126 142 146 146 145 150 163 173 166 171 168 161 171 175 175 201 231 242 252 272 306 353 381 412 421 421 415 402 386 373
4 20 49 89 117 147 226 337 441 512 556 609 658 524 296 328 205 120 104 119 143 194 302 407 352 279 276 320 290 253 193 147 142 142 131 109 61 22 8 4 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 4 5 6 6 7 4 2 0 0 0 3 18 55 107 97 77 61 54 63 75 77 71 71 70 67 54 46 40 29 22 27 38 49 58 66 74 107 136 140 137 140 144 145 154 173 187 173 173 174 185 194 207 216 208 214 219 224 242 269 294 317 325 314 302 291 272 244
9 37 50 81 115 147 185 237 298 346 372 405 509 531 450 525 364 207 216 346 442 434 389 346 253 299 322 287 213 162 136 121 109 86 58 26 8 3 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 1 3 4 2 2 3 2 1 0 0 0 0 0 3 21 63 71 57 48 45 46 51 56 60 65 68 66 60 49 43 38 29 24 27 33 43 53 64 71 81 94 109 116 130 146 137 136 138 143 151 160 157 163 170 162 157 178 208 203 201 216 228 242 282 304 274 254 237 223 199
31 49 54 76 114 149 161 174 202 217 218 245 327 437 554 560 353 186 190 271 270 168 179 271 336 398 302 176 99 68 55 42 32 21 12 3 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 1 1 1 0 1 0 0 0 0 0 0 0 3 30 64 51 41 41 44 46 47 48 53 65 76 60 52 45 41 35 27 21 20 22 29 39 52 64 75 87 98 105 114 125 118 123 136 140 134 131 127 133 137 125 123 145 181 177 184 212 237 259 300 326 289 264 227 203 165
36 64 83 94 121 152 149 132 144 157 150 176 201 254 429 434 247 112 121 174 200 200 232 277 238 145 51 16 13 13 8 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 30 50 42 38 41 43 44 44 45 50 64 66 48 38 32 29 28 24 21 19 19 20 24 29 39 54 68 76 82 90 95 94 104 117 113 104 100 106 119 125 117 135 119 135 141 156 179 190 203 222 223 218 190 149 128 100
52 77 102 125 137 143 129 107 119 172 235 260 197 249 353 301 162 109 164 205 168 123 85 66 49 22 5 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 1 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 23 36 37 39 43 43 42 42 44 46 51 44 33 26 22 21 22 22 21 20 20 20 20 20 21 28 39 45 52 59 62 61 66 71 69 66 69 77 89 84 80 83 90 94 96 102 107 110 113 108 112 112 98 82 72 60
68 83 121 156 158 137 171 265 285 315 431 423 378 394 354 219 129 145 176 149 96 44 17 9 4 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 3 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 18 32 38 42 45 43 41 44 46 42 37 31 26 21 19 19 20 20 20 20 20 20 19 19 20 21 23 26 30 34 36 37 38 40 43 43 45 45 47 40 38 39 44 47 51 54 57 62 66 67 67 62 62 63 58 52
100 125 163 203 227 256 380 557 564 537 549 475 455 335 234 172 150 146 111 69 33 11 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 1 3 6 9 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 19 31 40 46 47 40 43 48 46 37 29 25 21 18 17 17 17 17 18 18 18 19 19 20 21 21 21 21 22 22 24 24 23 25 25 24 28 26 25 24 23 22 22 24 28 31 32 31 34 38 43 40 38 36 32 36
143 165 214 297 392 494 603 680 675 608 504 391 329 233 186 171 141 97 57 26 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 0 0 0 0 0 0 0 0 0 0 1 3 7 11 13 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 20 28 40 46 43 39 42 45 41 31 24 20 16 14 14 15 15 15 15 15 15 15 16 17 18 18 18 18 18 17 17 17 17 17 17 18 18 19 20 20 20 20 20 20 20 21 21 20 17 16 17 19 19 16 15 16
210 258 341 421 493 570 627 654 635 513 393 289 234 201 181 158 116 61 31 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 1 4 7 9 10 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 15 24 37 42 39 37 40 41 35 26 20 18 14 11 11 12 14 14 12 12 12 12 12 12 11 12 13 12 12 12 11 11 11 10 10 11 12 12 13 14 15 15 16 17 17 16 15 13 11 11 11 12 13 12 12 12
259 291 350 366 383 465 557 628 573 397 285 221 203 206 181 131 90 44 10 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 2 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 12 22 34 38 36 34 38 39 32 23 18 16 12 10 10 10 10 10 9 9 8 8 9 8 8 8 7 7 7 7 6 6 5 4 4 5 6 6 6 8 9 11 10 11 11 11 10 9 8 8 8 8 9 9 10 10
212 158 136 142 189 305 457 577 502 319 215 180 199 226 190 108 65 27 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 11 20 30 35 36 36 37 36 29 21 17 14 10 9 8 7 6 5 6 6 5 6 6 7 6 5 4 4 3 3 3 3 1 2 2 2 2 2 3 3 4 5 4 5 6 6 5 4 4 5 5 5 4 5 7 7
98 49 24 31 75 180 352 501 447 268 179 153 190 221 180 100 51 15 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 2 4 6 10 17 28 33 34 34 34 33 26 17 15 14 9 7 8 7 5 4 4 4 3 4 4 4 3 3 3 2 1 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 0 0 1 2 3
25 8 2 10 45 125 262 402 386 227 150 129 167 203 165 93 42 12 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 1 2 4 5 8 14 23 29 32 33 33 31 25 17 15 13 9 7 6 5 4 3 4 4 3 3 3 3 2 2 1 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 1 2 3
2 0 1 9 42 113 208 312 300 187 126 113 146 183 152 80 36 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 2 3 4 7 11 18 26 30 32 31 29 24 19 16 13 9 6 5 4 3 3 3 3 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 1 1
0 1 2 8 33 98 177 240 234 171 121 109 133 162 142 74 34 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 0 0 0 0 0 0 0 0 0 2 4 6 9 14 21 28 29 29 27 23 18 15 14 11 8 6 5 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 0 0 0 0 0 0 0
1 3 6 7 21 85 168 227 234 192 139 112 122 144 120 69 35 9 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 1 4 6 8 10 14 21 24 26 25 22 17 15 14 12 8 5 4 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
2 4 7 9 28 100 194 270 292 239 164 120 126 160 113 71 32 9 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 2 5 7 8 10 14 18 22 21 19 16 14 14 12 9 5 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
2 3 4 11 44 130 235 294 287 208 136 118 120 136 105 65 25 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 0 0 0 0 0 0 0 0 0 0 1 3 6 7 8 12 14 17 16 15 14 13 12 10 7 5 3 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
1 2 4 18 65 159 257 286 241 166 120 115 115 105 88 55 15 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 2 4 6 7 10 12 12 12 12 12 11 9 6 5 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
1 1 7 30 90 192 251 243 186 132 111 103 95 99 97 44 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 8 10 11 11 11 9 8 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 7 35 113 202 215 175 121 86 72 66 66 62 42 17 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 6 8 8 8 8 6 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 1 1 0 0
1 2 8 42 135 184 161 109 64 38 25 25 37 14 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 1 2 3 4 5 4 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0
1 3 14 60 131 150 117 73 42 22 9 9 10 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 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 1 0 0 0 0
1 2 12 48 96 112 90 56 30 13 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 18 42 60 57 37 18 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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