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 3 3 4 4 3 3 4 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 9 10 10 11 12 13 14 15 15 15 14 14 14 15 15 13 11 9 7 7 6 7 8 10 10 9 9 9 8 7 7 7 7 6 6 6 6 7 7 7 5 3 -1 -3 -1 3 4 4 3 3 3 3 4 5 7 8 10 11 12 12 10 8 7 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 4 5 5 5 5 4 3 3 3 4 6 8 10 11 nan
nan 3 3 4 4 3 4 4 4 5 5 5 6 6 6 6 7 7 7 7 8 8 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 9 9 10 10 11 11 12 13 13 12 12 12 12 12 13 12 11 9 8 7 7 7 9 11 12 10 7 8 8 8 7 8 8 8 6 6 6 6 7 7 6 5 2 -2 -4 -1 3 5 4 3 3 3 3 4 5 7 10 13 18 21 21 17 12 8 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 5 5 5 5 5 5 4 3 2 2 3 5 9 13 14 nan
nan 3 4 4 4 4 4 4 5 5 6 6 6 6 6 7 7 7 7 8 9 9 9 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 11 11 11 10 10 9 9 10 10 9 9 7 7 6 7 9 12 15 14 10 7 7 8 7 7 8 8 8 6 6 6 7 7 6 5 3 1 -3 -4 -1 4 5 5 4 4 4 4 5 5 6 9 15 23 31 32 26 18 12 10 9 8 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 5 3 2 1 1 5 10 16 18 nan
nan 4 4 4 4 4 4 5 5 6 6 7 7 7 7 7 7 8 8 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 6 6 5 6 7 9 12 15 15 12 10 9 9 9 8 8 8 7 7 6 7 7 7 6 4 2 -1 -5 -4 1 5 6 6 6 5 5 6 6 6 5 6 12 23 34 36 29 21 17 15 16 15 13 10 8 9 9 9 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 4 2 0 0 4 10 17 22 nan
nan 4 4 4 4 4 5 5 6 6 6 7 7 7 7 7 8 9 9 10 11 10 10 9 9 8 8 8 8 9 9 8 8 8 8 8 8 8 8 7 7 7 6 7 7 7 7 7 6 6 6 6 5 5 5 5 5 7 9 10 11 11 11 11 10 10 10 10 9 8 7 7 7 7 7 6 5 3 -0 -4 -6 -3 3 6 7 7 7 7 7 7 8 8 7 5 8 16 24 28 24 20 19 21 23 23 20 15 14 15 15 15 14 12 10 8 8 7 7 7 7 7 7 7 6 7 7 7 6 4 1 1 3 8 15 21 nan
nan 4 4 4 4 4 5 6 6 6 6 7 7 7 7 8 8 10 10 11 10 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 5 5 4 4 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 6 8 9 7 6 7 9 9 10 10 11 10 8 7 7 7 8 7 5 3 -0 -4 -7 -7 -1 4 7 8 8 8 8 8 9 10 11 10 9 8 10 13 15 15 16 18 22 25 26 23 20 20 21 23 24 23 21 17 13 10 8 7 7 7 7 7 7 7 7 7 8 8 6 4 2 3 6 11 15 nan
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nan 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 7 7 7 7 6 7 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 6 3 2 4 6 6 6 6 7 8 9 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 nan
nan 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 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 7 7 6 6 6 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 8 8 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 6 4 5 6 6 7 8 9 10 9 9 8 7 6 6 6 6 7 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 nan
nan 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 8 8 8 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 9 9 8 8 7 6 5 6 8 11 12 11 10 8 6 6 6 6 7 7 7 7 7 6 6 6 7 7 7 7 8 8 8 8 8 7 7 7 6 7 7 7 7 7 8 nan
nan 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 8 8 7 8 8 8 9 9 8 8 8 8 7 7 7 6 6 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 7 7 7 8 8 9 9 8 7 7 7 7 7 7 8 8 8 7 8 8 8 7 7 8 8 7 6 7 9 12 13 11 8 6 4 5 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 6 6 6 6 6 7 7 7 8 8 nan
nan 8 8 8 8 8 7 6 7 7 7 8 8 8 8 7 7 7 7 7 8 9 9 10 10 10 11 10 10 9 8 8 8 9 9 9 8 7 8 8 8 7 7 7 8 9 10 10 10 10 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 6 6 6 7 7 7 8 9 9 8 8 8 8 7 6 7 8 8 8 8 8 8 8 8 6 6 7 8 8 8 8 9 10 11 9 6 3 2 4 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 6 6 5 5 5 6 7 7 8 8 8 nan
nan 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 7 7 7 8 9 10 10 11 11 10 10 10 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 9 10 10 11 11 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 8 7 7 8 8 8 8 8 8 8 8 7 6 6 7 7 8 8 9 9 9 9 8 5 2 2 5 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 7 6 6 5 5 5 6 6 7 7 8 8 8 nan
nan 7 7 6 7 7 7 7 8 8 8 7 8 8 8 8 8 8 7 7 8 9 9 9 9 9 8 8 8 8 10 10 9 7 6 5 5 6 6 7 8 9 9 9 10 10 11 11 10 10 10 11 12 11 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 8 8 8 8 8 9 9 9 9 9 8 7 7 7 7 7 8 8 9 9 8 8 7 6 4 5 6 6 6 6 7 7 7 7 7 7 7 8 8 9 9 8 7 7 6 5 4 5 5 6 7 7 8 8 8 7 nan
nan 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 7 7 6 6 6 6 8 9 9 7 6 5 5 6 6 7 8 8 9 9 10 11 11 10 9 9 11 12 13 13 11 9 8 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 7 8 8 8 8 9 9 9 8 8 9 9 9 9 9 9 7 6 7 7 7 7 8 8 9 9 8 8 8 7 7 8 7 6 6 7 7 8 7 7 7 7 7 8 8 8 8 7 7 6 5 4 4 5 6 7 7 7 8 8 7 7 nan
nan 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 9 9 10 10 8 8 7 7 6 6 6 6 6 7 8 9 9 8 6 5 6 6 7 7 8 9 10 11 11 10 9 9 9 10 12 13 13 12 10 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 9 9 9 10 10 9 8 7 6 7 7 8 8 8 8 9 9 9 8 8 8 9 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 5 4 4 5 6 7 7 8 8 7 7 7 6 nan
nan 7 7 6 6 6 7 7 7 8 8 9 9 9 9 9 9 9 9 10 9 9 9 8 8 7 7 7 7 6 6 7 8 9 8 7 6 6 7 7 8 9 11 11 11 11 10 9 8 9 10 12 14 14 13 11 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 9 9 9 9 9 8 7 6 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 10 9 8 7 6 6 5 4 4 5 6 7 7 8 8 8 7 7 6 6 nan
nan 7 7 6 6 6 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 8 7 7 6 6 7 8 8 7 6 7 7 8 9 10 12 11 11 9 9 8 8 9 10 12 13 14 12 10 9 8 8 8 8 8 8 8 7 7 6 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 9 8 8 7 7 6 7 7 8 8 8 8 9 10 9 8 7 7 7 7 7 8 8 8 8 8 8 9 11 13 15 16 14 12 9 7 6 5 4 4 5 6 7 7 8 8 8 8 7 6 6 5 nan
nan 8 7 6 6 7 7 7 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 8 8 9 11 12 11 10 9 8 7 8 8 10 11 12 12 11 9 7 7 7 8 8 9 9 8 7 7 6 6 7 7 7 7 7 7 7 8 8 7 6 6 7 8 8 8 7 7 6 6 7 8 8 8 8 9 9 9 8 7 6 7 7 7 7 7 7 7 8 8 9 10 12 14 17 17 15 11 6 4 5 5 5 5 6 7 8 8 9 8 8 7 7 6 5 4 nan
nan 8 7 6 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 9 10 11 11 10 9 8 8 8 9 10 10 10 10 9 8 7 7 7 7 8 9 9 9 8 7 7 7 7 7 7 7 6 7 7 8 7 6 6 6 7 8 8 7 7 6 7 7 8 8 8 9 9 9 9 8 7 6 6 7 7 7 7 7 7 8 9 9 9 9 10 12 13 12 8 2 -2 1 4 5 6 7 7 8 8 9 8 8 7 7 6 5 4 4 nan
nan 7 7 7 7 7 7 8 8 9 9 9 8 8 7 7 7 7 8 8 8 7 7 7 8 8 9 10 11 10 10 9 8 8 7 7 7 7 6 7 8 9 10 10 10 9 9 9 9 10 10 9 9 8 8 9 9 9 8 8 8 9 9 9 8 8 7 7 7 7 7 6 6 7 7 7 6 6 6 7 7 8 7 7 7 7 7 8 8 8 9 9 9 9 9 8 6 6 7 7 8 8 7 7 8 8 9 8 8 8 8 9 9 6 1 -5 -5 0 4 6 7 8 8 8 9 8 8 8 7 6 5 5 4 4 nan
nan 7 7 8 8 7 7 8 8 9 9 9 8 7 6 6 6 6 7 7 8 8 8 7 7 8 9 10 11 11 10 10 9 9 8 8 7 7 6 6 7 8 9 9 10 10 11 11 11 11 10 9 8 8 8 9 10 10 9 8 8 8 7 7 6 7 7 8 8 7 7 6 6 7 7 7 6 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 4 -2 -5 -2 4 7 9 9 9 8 8 8 8 7 7 6 5 5 4 4 4 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 7 7 7 7 7 8 8 9 9 9 9 10 11 10 9 8 8 8 7 7 6 7 7 8 9 10 11 12 12 11 10 9 8 8 8 9 10 10 9 7 5 4 3 3 4 5 7 8 9 8 7 6 6 7 7 7 7 7 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 6 2 -2 -1 4 10 12 12 10 9 8 8 8 7 7 6 5 5 4 4 4 4 nan
nan 8 8 8 8 8 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 11 12 11 9 9 9 9 8 8 7 6 7 8 9 10 10 11 11 11 10 10 9 9 9 9 10 9 8 5 3 1 1 2 4 7 9 10 10 9 8 8 7 8 8 8 8 8 7 6 6 7 8 9 9 9 8 8 8 8 8 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 6 3 2 7 14 18 17 14 12 10 9 8 7 6 6 5 5 5 4 4 4 4 nan
nan 8 8 8 8 9 9 9 9 8 8 8 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 11 11 10 9 9 9 10 10 8 7 7 7 9 9 9 9 9 9 9 10 10 11 11 11 10 9 9 7 5 3 3 4 6 8 10 11 10 10 9 9 10 10 10 9 9 8 7 6 6 6 8 9 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 9 15 20 21 17 14 13 12 10 8 7 6 5 5 4 4 5 5 5 5 nan
nan 8 8 9 9 9 9 9 8 8 7 7 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 8 9 10 10 10 9 8 8 9 10 9 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 10 8 8 6 5 5 6 8 10 11 11 9 8 8 8 9 10 11 11 11 9 8 7 7 7 7 8 8 8 8 8 8 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 12 15 16 15 13 12 12 11 9 7 6 5 5 5 5 5 5 5 5 5 nan
nan 8 9 9 10 10 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 8 9 10 10 9 9 9 10 10 9 9 8 7 6 7 8 9 9 9 8 9 10 10 9 8 7 6 6 6 6 7 9 10 10 9 7 6 6 7 8 9 10 11 10 9 9 8 8 8 8 8 7 6 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 7 5 3 4 5 5 5 5 6 6 5 5 5 nan
nan 8 8 9 9 9 9 8 8 8 7 8 8 8 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 6 5 6 8 9 10 10 9 9 10 10 10 10 9 7 7 7 8 9 8 7 7 8 9 9 8 8 7 7 6 6 6 7 9 9 9 7 6 6 7 8 8 8 10 10 10 9 9 9 9 9 9 8 7 6 6 6 6 7 7 7 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 8 6 5 3 3 2 0 -2 -1 2 4 5 6 6 6 6 5 5 4 nan
nan 7 7 8 8 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 9 10 10 10 9 9 9 9 9 8 7 6 6 8 9 9 9 9 9 8 8 7 6 7 8 9 9 7 7 7 7 7 7 8 10 10 9 9 9 10 10 10 10 9 8 7 7 6 7 7 7 7 7 7 8 8 8 9 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 7 3 -0 -3 -4 -4 -6 -7 -3 2 5 6 6 6 6 5 5 4 4 nan
nan 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 10 9 9 8 7 7 7 7 7 7 7 7 8 9 9 8 7 6 6 8 9 9 8 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 9 9 9 9 9 8 7 6 7 8 8 7 7 7 7 7 7 8 9 9 8 9 10 11 11 11 10 10 9 9 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 8 9 9 8 8 8 8 8 9 9 9 9 9 9 8 6 2 -1 -3 -3 -2 -3 -2 2 5 6 6 6 6 5 5 4 4 4 nan
nan 7 7 7 8 8 8 8 8 9 9 10 10 9 9 9 9 9 8 7 7 7 7 7 7 7 8 9 10 11 10 9 7 6 7 8 9 9 8 8 8 8 8 8 9 10 10 10 9 10 9 9 8 8 8 8 9 10 9 8 7 6 6 6 7 7 6 7 7 6 7 7 7 7 7 9 11 11 11 11 10 10 10 10 10 10 10 10 9 9 8 8 7 7 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 7 6 5 5 5 6 6 5 6 6 6 6 6 5 5 5 4 4 4 4 nan
nan 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 8 8 8 8 8 9 10 11 10 9 8 7 7 7 8 9 9 8 8 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 7 6 5 6 7 7 7 7 6 5 6 6 7 7 9 11 12 11 10 9 9 9 10 10 10 11 11 11 10 10 9 8 7 7 7 8 8 9 9 9 9 9 8 8 8 8 9 8 8 7 8 8 8 8 8 8 9 11 12 11 9 7 6 6 5 5 5 5 4 4 4 4 4 nan
nan 7 7 7 7 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 8 8 7 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 6 6 6 7 8 7 6 5 4 5 6 7 8 9 10 10 9 8 8 8 8 9 9 10 11 11 11 11 11 10 9 8 8 8 8 9 9 9 8 8 8 8 8 9 9 8 8 7 7 8 9 9 8 9 9 10 10 9 7 5 4 5 5 5 5 5 5 4 4 4 4 5 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
28 23 21 17 15 20 27 39 53 58 57 64 79 94 106 117 130 96 80 91 98 104 103 101 128 188 237 233 221 258 279 250 265 300 303 247 168 115 86 78 92 114 147 180 234 359 487 543 445 285 219 217 218 168 114 97 83 67 52 45 44 39 21 9 13 20 27 28 28 28 28 30 31 33 36 40 43 44 46 55 63 59 49 45 49 70 105 144 185 207 235 258 293 354 386 363 328 278 209 162 131 112 91 78 74 71 60 48 45 46 41 32 29 30 34 37 32 31 47 87 140 173 156 170 164 156 155 160 159 179 246 357 485 631 717
33 27 23 17 16 21 27 40 56 68 75 85 98 105 111 126 101 90 86 88 97 115 135 162 209 254 245 186 140 111 113 126 175 191 166 127 90 67 66 67 75 88 117 131 179 268 348 361 310 259 223 206 209 173 125 96 82 71 61 61 71 62 21 12 16 22 32 37 40 40 39 40 40 39 42 45 48 49 52 54 53 49 48 46 47 67 102 146 210 239 299 403 553 718 824 810 698 553 395 289 217 170 140 124 118 113 99 81 71 66 60 52 46 43 41 41 40 38 38 52 98 161 201 202 208 202 180 163 163 185 225 292 448 682 857
40 35 24 19 20 28 38 50 70 88 102 114 119 117 98 86 87 82 81 94 120 155 186 207 215 192 155 147 128 100 116 124 132 113 82 75 94 115 124 121 115 129 149 161 194 237 259 237 206 215 204 193 179 159 129 104 90 83 71 61 67 56 23 15 21 31 39 42 44 46 49 50 51 51 51 51 48 48 48 47 42 45 56 59 54 63 94 142 206 245 319 473 714 971 1164 1270 1179 956 698 490 348 263 219 196 186 178 158 132 110 102 97 96 92 83 71 62 59 57 50 45 63 101 139 170 188 182 165 161 168 192 223 257 426 686 901
38 30 24 27 28 35 47 60 86 103 101 97 114 128 87 54 54 69 105 150 188 240 279 301 340 347 239 184 149 120 106 98 103 109 118 153 205 229 202 174 165 172 189 211 227 230 219 208 203 200 188 192 187 160 138 119 107 101 80 49 47 33 21 21 29 37 44 47 48 49 53 55 56 59 60 59 56 52 49 42 36 39 54 65 60 65 89 155 212 248 298 388 492 588 766 1000 1169 1212 1005 711 506 413 379 357 331 300 258 222 195 185 179 177 167 148 127 110 98 91 79 68 68 78 96 121 148 159 157 153 138 129 154 217 388 647 900
32 26 26 37 36 41 51 77 101 102 83 73 110 137 87 51 64 117 185 300 436 502 444 359 411 534 334 172 125 122 123 123 163 225 248 255 298 265 217 185 178 193 206 213 220 222 219 226 224 198 180 176 163 134 126 117 107 103 76 37 27 21 26 26 37 45 53 58 59 58 57 57 56 60 59 61 60 59 54 44 35 35 48 60 65 70 94 148 208 249 277 306 309 280 345 496 823 1250 1179 877 692 649 642 636 598 506 443 414 384 371 347 307 264 233 205 181 160 143 123 103 91 90 97 112 132 149 158 148 124 97 104 192 379 640 903
27 23 30 40 38 45 69 101 110 95 77 81 112 123 90 56 76 189 318 489 630 619 479 368 305 312 243 165 176 197 199 205 259 318 296 252 264 241 210 200 194 187 177 173 183 195 203 205 185 151 133 108 80 66 77 89 90 94 72 19 9 7 21 28 43 55 65 73 75 71 65 61 55 57 59 60 60 57 53 45 38 45 44 54 67 81 109 153 213 264 295 349 432 487 448 485 682 1075 1050 851 809 854 849 909 921 793 748 774 796 779 711 598 465 379 317 263 226 197 174 156 141 134 130 130 138 153 178 176 139 108 109 186 371 651 931
12 18 29 35 40 45 82 108 110 105 107 121 133 141 178 146 175 346 520 658 776 742 506 349 235 176 233 264 321 303 247 231 265 286 247 216 218 234 214 182 151 122 104 101 107 116 129 118 72 61 58 43 34 24 30 56 79 99 100 6 1 1 12 23 37 56 74 85 85 78 68 63 57 55 56 57 59 56 51 47 48 60 55 64 84 113 149 186 240 300 354 485 742 879 707 713 677 671 644 637 726 802 774 1128 1176 1015 991 1091 1207 1232 1147 1018 861 662 491 367 299 252 229 224 221 213 198 180 169 176 201 209 188 150 126 162 293 517 752
9 21 27 34 41 53 87 111 107 102 115 146 197 199 296 357 352 536 773 865 752 546 408 350 245 209 326 368 370 319 269 258 255 229 210 201 204 196 154 114 76 49 37 30 29 42 62 68 24 14 16 12 6 5 17 45 75 77 95 15 1 0 3 10 25 49 71 83 78 72 64 60 55 50 48 51 54 52 46 48 60 69 74 88 122 177 217 244 292 352 419 577 926 1138 1045 962 830 670 576 555 573 631 625 822 820 823 894 1029 1120 1117 1154 1210 1204 1035 771 549 420 357 335 328 321 320 300 264 235 229 249 274 274 227 162 147 204 335 485
16 23 25 31 37 59 102 129 124 117 132 186 243 257 328 507 699 913 1029 970 848 785 647 418 280 249 281 309 296 273 261 245 215 175 164 151 161 113 72 45 25 13 7 4 3 9 21 47 31 19 13 8 7 10 24 46 71 53 42 10 1 0 1 4 14 33 56 68 62 57 55 53 45 37 37 42 44 41 37 43 62 80 104 133 184 251 304 335 376 437 481 580 900 1128 1144 1057 1001 992 930 771 628 596 575 557 570 653 770 836 833 850 1006 1185 1368 1332 1077 798 627 560 550 552 521 507 468 401 342 308 304 323 342 314 238 198 197 244 304
26 24 22 24 32 59 103 133 139 145 157 184 209 240 326 541 782 886 821 711 623 486 352 281 211 195 202 201 205 220 219 186 152 114 96 78 61 42 23 9 1 0 0 0 0 1 4 30 51 53 40 32 34 41 50 62 81 61 28 42 22 0 0 4 16 32 48 56 54 51 48 45 38 32 33 34 34 30 27 36 65 105 155 218 292 365 436 487 511 555 528 559 772 929 901 837 935 1129 1190 1085 1001 948 868 824 866 957 977 855 748 749 915 1146 1259 1361 1195 947 800 767 842 956 952 865 753 632 514 414 358 344 341 343 308 279 261 259 275
38 22 19 22 32 62 98 114 120 132 143 157 190 230 330 568 814 827 640 500 411 311 212 155 128 120 126 136 147 156 148 108 76 57 43 31 22 15 7 2 0 0 0 0 0 0 1 12 30 49 65 70 71 85 71 72 80 58 50 116 78 1 0 4 18 36 51 53 52 47 39 35 34 31 29 25 18 12 11 32 86 157 240 361 517 647 748 754 722 676 581 559 656 705 605 544 722 1001 1173 1294 1343 1325 1304 1275 1175 1085 1041 983 867 733 808 1031 1094 1044 976 906 843 815 1095 1284 1346 1227 1045 895 752 586 450 386 364 367 368 369 360 352 352
26 15 18 25 31 47 64 72 89 102 114 129 148 194 328 579 767 706 478 325 258 187 126 92 75 71 78 84 85 85 73 47 30 22 15 9 7 7 6 3 0 0 0 0 0 0 0 3 12 22 39 63 63 61 46 48 46 35 30 87 87 17 1 7 22 39 53 52 45 37 29 27 26 21 15 7 4 2 5 46 127 228 363 595 928 1097 1211 1121 944 784 629 545 572 578 472 558 763 930 1109 1230 1290 1304 1295 1277 1250 1196 1193 1187 1097 959 829 818 858 891 906 961 1047 1089 1277 1310 1255 1156 1041 975 893 748 595 489 448 455 487 517 528 541 555
23 24 31 38 43 47 53 67 90 102 111 134 153 235 441 649 695 554 357 236 166 114 74 50 44 45 44 42 40 38 29 17 11 7 6 8 10 11 9 5 1 0 0 0 0 0 0 0 2 14 31 26 25 20 13 20 21 27 24 42 58 36 24 17 29 38 45 42 34 26 19 16 14 7 2 0 0 3 23 84 183 328 598 1063 1412 1571 1537 1275 970 790 651 548 553 606 702 909 901 877 927 957 1016 1126 1270 1397 1396 1341 1286 1223 1177 1100 1011 974 992 1046 1128 1222 1262 1200 1143 1092 1033 889 800 869 880 827 727 671 645 639 686 759 831 869 864
57 56 54 64 75 82 95 115 165 195 200 297 364 448 591 652 549 383 258 160 95 55 39 33 33 35 33 31 28 24 18 13 9 5 7 10 11 9 6 3 0 0 0 0 0 0 0 0 1 4 3 0 4 14 12 8 10 20 21 22 32 28 9 18 28 33 33 29 24 18 11 6 2 1 0 0 0 9 46 121 231 430 870 1449 1718 1620 1300 991 759 651 599 540 537 559 632 703 654 633 651 686 762 894 1048 1195 1285 1188 1063 1041 1033 1007 1000 1023 1021 1007 1152 1189 1172 1143 1082 1021 961 871 787 807 849 920 862 802 773 772 801 850 894 878 868
34 25 35 62 79 129 226 224 361 353 349 414 506 601 649 578 405 241 159 91 57 42 37 31 29 31 31 29 26 21 15 9 4 4 5 5 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 5 7 16 35 45 8 8 14 16 16 15 15 12 6 2 0 0 0 0 0 12 59 144 250 429 847 1245 1357 1255 949 722 580 479 439 395 374 375 368 341 372 406 432 472 549 682 867 970 1026 999 933 875 851 838 798 747 739 729 717 803 899 934 1001 1088 1048 966 884 787 760 817 806 746 675 645 655 665 668 630 634
4 3 11 26 35 111 287 288 474 410 356 373 458 541 565 484 320 195 99 73 48 38 34 30 28 29 30 28 23 15 8 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 1 3 6 16 42 43 15 3 1 3 6 9 10 8 3 0 0 0 0 0 2 20 72 151 235 348 553 702 768 778 635 493 412 327 277 234 218 221 212 225 249 270 291 333 413 538 707 863 897 837 746 668 643 670 666 654 633 642 647 679 715 750 817 873 854 815 768 684 607 582 557 512 474 456 460 466 480 498 510
0 1 4 6 5 41 161 201 303 286 268 306 417 500 487 381 223 137 78 61 44 39 35 30 27 27 27 24 16 7 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 1 3 10 26 33 21 6 1 0 1 3 5 5 3 1 0 0 0 0 0 6 30 75 125 184 251 288 303 302 328 322 266 220 200 187 167 160 149 140 145 159 178 205 249 316 406 504 561 588 570 521 470 454 497 518 519 522 535 532 549 576 590 589 563 556 561 538 506 461 433 406 366 356 358 359 357 352 357 368
0 3 6 4 1 12 57 93 134 175 244 321 422 478 431 305 168 87 65 51 44 47 36 25 24 25 19 13 6 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 1 3 5 8 7 3 0 0 0 1 4 4 3 1 0 0 0 0 0 0 10 38 67 93 128 160 155 144 140 153 167 167 156 145 144 131 120 111 108 116 128 139 160 195 239 289 344 394 418 413 392 366 350 353 357 360 364 371 380 393 401 395 389 384 396 385 369 354 343 336 335 337 306 282 268 248 229 216 205
0 0 1 1 1 5 19 41 81 153 249 326 400 430 361 241 125 68 53 43 43 37 26 20 19 16 9 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 1 3 5 3 1 0 0 0 0 1 2 1 2 3 2 1 0 0 0 0 0 2 12 33 59 71 85 98 103 106 111 121 132 143 148 133 120 104 91 83 81 89 103 109 122 143 162 184 215 265 313 328 320 298 265 250 250 258 260 257 250 240 233 232 225 212 208 210 212 211 207 202 188 179 172 155 139 135 131 124 125
0 0 1 2 2 4 9 17 74 164 252 316 347 327 250 150 71 44 29 25 29 22 13 10 9 5 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 1 5 9 8 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 2 10 27 52 59 60 68 87 107 121 126 127 129 130 115 92 71 54 47 51 51 57 65 74 79 83 96 120 151 188 218 236 224 199 193 193 194 189 180 169 157 150 144 133 115 100 94 91 88 84 84 72 53 58 64 63 62 60 56 51
0 1 2 2 2 3 4 8 64 140 209 251 255 213 135 63 32 19 12 12 9 5 2 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 1 3 7 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 22 44 55 58 63 82 113 135 132 114 105 93 76 58 45 37 33 31 31 31 32 35 34 35 44 63 85 111 137 154 151 145 141 139 139 138 133 125 118 112 105 95 84 68 54 46 40 34 34 35 35 35 34 32 29 27 25 24
1 1 2 2 2 2 3 16 52 110 164 182 150 90 43 15 11 8 5 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 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 19 35 50 58 65 81 105 112 104 91 77 63 51 41 34 31 29 27 26 25 24 21 19 20 23 31 43 55 72 85 89 87 87 87 85 92 89 86 83 76 72 68 59 51 43 37 32 29 27 27 25 23 21 18 16 14 10 7
1 1 1 2 2 2 4 28 85 141 148 106 52 14 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 13 26 43 56 62 72 84 84 74 67 58 49 40 32 29 27 26 24 23 23 21 19 18 17 18 20 22 30 37 45 50 51 50 51 49 55 51 55 56 53 51 48 43 40 37 33 30 27 24 21 18 15 13 10 7 5 2 1
0 0 1 2 2 2 10 44 75 81 60 29 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 1 2 8 18 33 47 53 58 67 69 67 61 53 43 34 27 25 23 21 19 18 14 13 14 14 14 15 11 13 20 24 27 33 38 37 39 42 45 47 47 48 48 47 45 43 40 36 32 29 26 23 19 15 12 9 5 2 1 0 0
0 0 1 2 1 1 6 25 24 14 7 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 4 12 22 33 40 47 55 58 56 52 46 39 31 26 23 22 20 17 13 10 8 8 9 9 12 13 13 14 14 15 21 28 30 35 40 42 42 44 45 45 45 44 42 39 35 31 27 25 21 16 10 7 3 1 0 0 0 0
0 0 1 2 2 1 1 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 22 28 34 41 44 43 42 39 34 28 24 22 20 16 12 9 6 5 4 6 6 9 11 12 12 11 10 13 20 26 35 41 40 40 41 43 44 43 42 40 38 34 30 25 20 15 12 7 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 16 22 27 31 33 33 33 29 25 23 20 17 14 10 7 4 3 2 3 4 6 10 12 11 10 9 12 16 21 25 31 36 37 38 41 44 43 40 38 35 32 29 23 19 15 13 8 4 1 0 0 0 0 0
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