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 5 5 5 4 4 4 4 5 5 5 5 5 6 6 6 7 7 8 8 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 9 8 8 9 9 9 9 8 7 7 8 9 10 11 12 11 8 6 7 7 7 7 7 7 8 7 7 7 7 7 7 6 3 -4 -8 -6 0 4 6 6 5 5 6 8 10 12 13 14 13 12 11 10 9 10 11 13 16 20 23 24 24 21 17 14 11 8 7 6 6 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 nan
nan 5 5 4 4 4 4 4 5 5 5 5 6 6 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 7 8 8 9 9 9 9 9 8 8 8 8 9 9 9 10 11 11 11 10 10 9 9 8 7 6 7 9 11 14 15 14 10 7 6 7 8 8 8 7 7 7 7 7 7 7 5 5 5 2 -5 -9 -5 1 5 6 6 6 7 9 12 16 19 20 20 17 13 9 7 7 8 9 11 15 20 24 27 28 26 22 18 15 12 10 9 8 8 8 8 7 7 7 7 6 7 6 6 6 6 6 6 6 6 6 nan
nan 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 9 8 7 6 5 5 7 10 14 17 19 16 11 8 7 7 8 8 8 7 7 8 8 7 7 7 4 3 4 1 -5 -8 -3 3 6 7 7 9 12 15 18 21 23 24 23 20 15 10 7 6 6 6 8 12 17 22 26 28 28 25 22 19 16 14 14 13 13 13 12 11 9 9 8 8 7 7 7 6 6 6 6 6 5 5 nan
nan 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 5 4 4 5 7 10 14 16 17 15 12 10 9 8 8 8 8 7 7 7 7 7 6 5 4 3 2 -2 -6 -6 0 6 8 8 10 13 16 20 23 24 22 20 20 18 13 9 7 6 5 5 6 8 12 16 20 23 24 23 21 20 19 18 17 18 18 18 18 17 15 13 12 11 10 10 9 8 8 7 7 6 6 5 nan
nan 5 5 6 5 5 5 5 6 6 6 5 5 6 6 6 7 7 8 8 8 8 8 9 9 9 10 9 9 9 9 9 9 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 4 5 5 6 9 12 13 12 10 10 10 9 8 7 7 7 7 7 7 7 7 5 3 2 2 -1 -5 -8 -3 5 9 11 12 14 16 18 21 22 20 15 13 13 12 10 8 8 7 7 6 6 6 7 10 13 16 17 18 18 18 18 18 19 20 21 22 23 22 21 19 18 17 16 15 14 13 12 11 10 9 8 8 nan
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nan 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 9 9 8 8 8 8 8 8 8 8 7 7 6 6 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 9 9 8 8 8 6 2 1 3 5 6 6 6 6 7 8 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 nan
nan 8 8 8 8 8 7 7 8 8 8 8 7 8 8 8 8 8 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 8 8 8 8 8 8 8 7 7 6 6 7 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 7 8 8 9 9 9 9 8 8 8 7 7 7 8 8 8 9 9 9 7 5 4 4 5 6 6 7 8 9 9 8 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 7 7 7 6 6 6 6 6 6 6 7 7 nan
nan 8 9 9 9 8 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 7 7 7 7 7 6 7 7 8 9 9 9 9 8 8 8 7 7 8 8 8 8 8 8 8 7 7 7 6 6 6 6 7 7 7 8 8 9 9 8 8 8 7 7 7 8 8 7 7 8 9 9 9 8 7 6 6 5 6 8 11 12 11 9 7 6 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 7 7 6 6 6 6 6 6 6 7 7 7 nan
nan 9 9 9 9 8 7 6 6 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 8 9 9 8 8 8 7 7 7 7 8 8 7 7 8 8 8 7 7 8 8 7 6 7 9 12 13 12 8 5 4 5 5 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 7 7 6 6 6 5 5 6 6 7 7 7 8 nan
nan 9 9 9 8 8 7 6 7 7 7 8 8 8 8 7 7 7 7 7 8 9 9 9 10 10 10 10 10 9 9 8 8 9 9 9 8 8 8 7 7 7 7 7 8 9 10 10 10 10 10 9 9 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 7 7 7 8 9 9 8 8 9 8 7 7 7 8 8 8 7 7 8 8 7 6 6 7 8 8 8 8 10 11 11 9 6 2 2 4 6 6 5 5 6 6 6 6 6 7 7 7 8 8 8 7 7 6 6 5 5 5 6 6 7 7 7 8 8 nan
nan 8 8 8 8 7 7 7 8 8 8 8 8 8 7 8 8 8 7 7 7 9 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 7 7 7 8 8 8 8 9 10 11 11 11 11 11 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 8 7 7 8 8 8 8 8 8 8 8 7 6 6 7 8 8 9 9 9 9 9 7 4 1 2 4 6 6 5 5 5 6 6 6 6 7 7 7 8 8 8 7 6 6 5 5 5 5 6 6 7 7 8 8 8 nan
nan 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 8 8 8 9 10 11 9 7 6 5 6 7 7 8 8 8 8 9 10 11 12 12 12 11 11 11 10 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 9 9 8 8 8 8 8 8 8 9 9 9 7 6 6 7 7 8 8 9 9 9 9 8 7 5 4 5 6 6 6 6 6 6 6 6 6 6 7 7 8 8 7 7 6 6 5 5 5 5 6 6 7 7 8 8 8 8 nan
nan 7 8 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 10 9 8 6 5 5 6 7 7 7 8 8 10 11 12 12 12 11 11 12 12 11 10 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 9 8 8 8 8 8 9 9 9 9 8 7 6 6 7 8 8 8 9 9 9 8 8 8 7 7 7 7 6 6 7 7 7 6 6 6 7 7 7 7 7 7 6 6 5 5 5 5 6 6 7 7 8 8 8 7 7 nan
nan 8 7 7 6 6 7 7 7 8 8 9 9 9 9 9 8 9 9 10 9 8 7 7 7 7 7 7 7 6 7 8 9 9 8 6 5 6 7 7 7 8 9 11 12 13 12 11 10 11 12 13 12 10 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 8 8 8 9 9 9 9 9 7 6 6 7 7 8 8 8 9 9 9 9 8 8 8 8 8 7 7 8 8 8 8 8 7 7 7 8 8 8 7 7 6 5 5 5 5 6 6 7 7 8 8 8 7 7 7 nan
nan 7 7 6 6 6 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 9 9 7 6 6 7 7 8 9 11 12 12 12 11 10 9 10 12 13 13 11 9 8 8 8 8 8 8 7 7 7 8 8 7 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 8 7 6 6 6 7 8 8 8 8 9 10 9 8 8 7 7 8 8 8 8 9 8 8 8 9 10 11 11 10 10 8 7 6 5 5 5 5 5 6 7 7 8 8 7 7 7 6 6 nan
nan 7 7 6 6 7 7 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 8 8 7 7 7 8 8 9 10 12 12 11 10 9 9 8 9 11 13 13 11 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 7 7 7 8 7 7 6 7 8 8 8 8 7 6 6 6 7 8 8 8 8 9 10 10 8 7 7 7 7 7 7 8 8 8 8 8 9 11 13 16 16 15 12 9 6 5 5 5 5 6 6 7 7 7 7 7 7 7 6 6 6 nan
nan 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 7 7 7 7 7 7 8 9 10 10 9 9 8 7 7 8 8 7 7 7 8 8 9 10 12 11 11 9 8 8 8 9 11 12 13 12 10 7 6 7 7 8 8 8 8 9 8 7 7 7 7 7 6 6 6 6 7 7 7 7 6 6 7 8 8 7 7 6 6 6 7 8 8 8 8 8 9 9 8 7 6 7 7 7 7 7 7 7 8 8 9 10 12 15 17 17 15 10 5 3 4 5 6 6 7 7 7 7 7 7 7 6 6 6 6 6 nan
nan 8 8 8 8 7 7 7 8 8 9 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 10 11 11 10 9 9 8 8 8 7 7 7 7 8 8 10 11 11 10 9 8 8 8 9 10 11 12 11 10 8 6 6 7 7 8 8 9 9 9 8 7 7 8 8 7 6 6 6 6 7 7 7 6 6 7 8 8 7 6 6 6 7 8 8 8 8 8 8 8 8 7 6 6 7 7 7 7 7 7 8 8 9 9 9 10 12 13 11 7 0 -3 -1 4 6 6 7 7 7 7 7 7 7 6 6 6 5 5 5 nan
nan 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 10 11 11 11 11 10 9 8 8 7 7 7 7 7 8 9 10 10 10 9 9 9 9 10 10 10 10 10 9 9 8 8 7 8 9 10 10 10 10 9 8 8 8 8 7 6 6 6 7 7 7 6 6 7 7 7 7 6 6 7 7 8 8 8 9 9 9 9 8 7 6 6 7 8 8 8 7 7 8 8 8 8 8 8 8 9 8 5 -1 -7 -7 -0 4 7 7 8 8 7 7 7 6 6 6 5 5 5 5 5 nan
nan 9 9 9 8 7 7 7 8 8 8 8 8 7 6 6 5 5 6 7 7 7 7 7 7 8 9 10 11 11 11 11 10 9 9 7 7 6 6 6 7 8 9 10 10 10 11 11 11 11 10 9 9 8 9 9 9 10 10 9 10 11 11 11 10 9 9 8 8 7 7 6 6 6 7 7 7 7 7 8 8 7 7 7 7 7 7 8 8 8 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 2 -4 -7 -3 4 8 9 8 8 7 7 7 6 6 6 5 5 5 5 5 6 nan
nan 9 9 8 8 8 8 8 8 8 8 8 8 7 6 6 5 6 6 7 7 7 7 7 7 8 8 9 9 10 10 11 12 11 10 8 7 7 7 6 6 7 8 9 10 10 11 12 12 12 10 9 8 8 8 9 10 10 10 9 8 8 8 7 7 8 8 9 8 7 6 6 6 6 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 8 8 7 5 0 -4 -3 5 11 13 12 10 8 7 7 6 6 5 5 5 5 5 5 5 6 nan
nan 9 8 8 8 8 8 8 8 8 9 8 8 8 7 7 7 7 7 6 6 7 7 7 7 7 8 9 9 9 10 11 13 12 10 9 8 8 8 7 7 7 7 9 10 11 11 11 12 11 10 10 9 9 9 9 10 10 9 6 4 3 3 4 5 7 9 9 9 9 8 7 7 7 7 8 8 8 7 7 7 7 8 9 9 8 8 8 8 8 8 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 7 7 4 2 1 7 15 19 18 14 11 10 8 7 6 5 5 4 4 5 5 5 6 6 nan
nan 8 8 8 8 9 9 9 9 8 8 8 9 9 8 9 9 8 7 6 6 7 7 6 6 7 8 9 10 10 10 11 12 12 10 9 9 9 9 8 7 7 7 9 10 11 10 10 10 10 10 10 11 11 11 11 10 9 7 5 3 3 4 5 7 9 10 10 10 9 9 9 9 9 8 8 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 7 7 7 7 7 7 10 16 21 21 17 14 12 11 9 7 5 5 4 4 4 5 5 6 6 6 nan
nan 8 9 9 9 10 9 9 8 8 8 8 9 9 9 9 9 8 7 7 7 8 7 7 7 7 7 8 9 9 9 10 11 11 10 9 9 10 10 9 7 7 7 8 8 9 9 9 9 9 9 10 11 12 12 11 9 8 6 5 5 6 7 9 10 10 9 8 8 9 10 10 11 11 10 9 8 8 7 6 7 8 8 8 8 8 8 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 10 12 15 16 14 12 11 11 9 7 5 4 4 4 4 5 5 6 6 6 6 nan
nan 9 9 9 9 9 9 8 8 8 7 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 7 6 8 9 10 10 9 9 10 10 9 9 8 7 6 6 7 8 8 9 9 9 10 10 10 10 9 7 7 6 5 6 7 9 10 10 9 7 6 7 8 9 9 10 10 10 9 9 9 8 8 8 8 7 6 6 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 9 9 10 10 10 8 8 8 7 6 3 1 2 4 4 5 5 6 6 6 6 6 nan
nan 9 8 8 8 8 8 8 8 8 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 7 6 6 7 9 9 9 10 10 10 10 10 9 8 7 6 6 7 8 8 8 8 8 9 8 8 8 7 7 6 6 7 8 9 10 9 8 6 6 7 8 8 9 10 10 10 9 9 9 9 9 8 8 7 6 6 6 6 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 9 9 8 6 4 2 2 1 -1 -4 -3 1 3 5 5 6 6 5 5 5 6 nan
nan 8 7 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 7 7 6 7 7 9 10 10 11 11 10 10 9 8 8 8 8 8 7 6 7 8 8 8 8 8 8 8 7 7 7 8 9 9 9 8 7 6 7 7 8 9 10 10 10 9 9 10 10 10 9 9 8 7 7 6 6 7 7 7 7 7 8 8 9 9 10 10 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 6 2 -2 -5 -6 -6 -8 -10 -5 0 4 5 6 6 5 5 5 5 5 nan
nan 8 7 7 7 7 8 8 8 8 8 9 9 8 8 8 9 9 9 8 7 6 6 7 7 7 7 8 9 10 9 8 7 6 7 9 10 10 10 9 9 9 9 9 9 10 9 8 7 7 8 8 8 8 8 8 9 9 9 8 7 7 7 8 8 7 7 6 7 7 8 9 10 10 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 7 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 1 -2 -4 -4 -4 -6 -5 -0 3 5 5 5 5 5 5 5 5 5 nan
nan 8 7 7 7 8 8 8 8 8 9 9 9 8 8 8 9 9 9 8 7 7 7 7 7 7 8 9 10 10 10 8 7 7 7 9 11 10 9 8 8 8 8 9 10 10 10 9 9 9 9 9 8 8 7 8 8 9 9 8 7 6 6 6 7 7 7 7 7 7 7 8 8 8 8 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 6 5 5 6 6 6 4 4 5 5 5 5 5 5 5 5 5 5 5 nan
nan 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 6 7 9 10 10 9 8 8 8 8 9 9 10 9 9 9 9 9 9 8 8 8 8 8 9 9 8 8 6 5 5 6 7 7 7 7 6 6 6 7 7 8 9 11 11 11 10 9 9 9 9 10 10 11 11 11 11 10 9 8 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 9 10 11 12 13 11 9 7 5 5 5 5 5 5 5 5 5 5 6 nan
nan 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 8 9 10 9 9 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 7 6 6 6 7 7 7 6 5 4 5 6 7 8 9 10 9 9 8 7 8 8 9 9 10 11 11 11 11 11 11 10 9 8 8 8 9 9 9 9 8 9 9 9 9 9 8 8 7 7 7 8 9 9 9 10 10 11 11 8 5 4 4 5 5 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
20 18 21 26 28 25 25 27 32 33 34 34 33 32 32 32 32 33 38 37 42 44 42 39 38 38 38 41 44 43 38 31 27 29 30 33 51 69 60 42 37 32 30 29 27 24 21 17 15 13 12 12 15 18 24 91 130 99 54 28 19 19 22 25 20 18 12 13 16 19 23 25 27 27 26 27 25 20 16 13 12 9 8 10 13 18 29 55 112 206 279 336 515 735 769 738 901 1098 996 862 821 903 891 984 1081 1183 1335 1430 1327 1085 859 635 473 401 334 260 213 180 153 132 117 112 96 89 84 78 76 79 81 80 78 86 104 129 135
25 23 22 24 23 19 22 25 31 34 35 36 35 35 35 35 36 37 37 38 42 45 45 41 39 38 37 39 43 43 42 35 31 31 32 34 46 67 71 41 34 30 24 23 22 20 17 14 13 15 15 14 23 46 44 76 71 42 23 22 29 26 19 20 20 19 18 20 23 26 28 29 29 28 28 28 26 23 18 13 9 6 7 11 13 18 34 69 136 251 349 427 664 1063 1342 1242 890 639 380 350 390 471 504 528 628 844 1166 1487 1560 1334 1035 888 629 556 501 449 410 366 310 262 221 195 164 153 143 135 127 121 121 119 114 116 132 165 158
33 29 28 25 21 19 22 26 31 35 36 37 36 36 35 35 35 35 36 37 39 41 40 36 33 34 34 35 37 38 38 34 31 30 31 31 36 48 59 33 31 27 23 22 25 27 28 27 31 49 58 74 96 106 68 27 7 4 6 14 29 37 22 16 17 21 24 27 29 30 30 31 31 30 29 29 28 24 16 10 4 3 8 14 16 23 49 98 187 332 507 688 923 1270 1687 1806 1110 482 327 351 363 335 316 318 394 599 907 1274 1513 1382 1070 963 817 730 693 677 666 626 565 508 440 373 316 275 244 215 195 191 184 176 164 165 169 187 196
41 37 34 28 24 23 24 28 33 38 39 37 35 35 35 36 37 35 33 32 31 30 29 29 29 29 29 30 31 32 32 30 27 26 25 27 28 27 31 26 31 36 41 47 58 76 105 133 142 145 141 150 153 105 48 12 0 0 0 3 11 25 24 23 25 30 30 30 31 31 31 32 32 31 30 31 29 22 13 7 3 3 10 19 25 52 98 178 305 500 777 1063 1259 1350 1464 1624 1030 580 436 360 283 243 275 368 515 682 846 1048 1224 1124 917 841 828 814 830 874 895 867 827 798 736 670 597 508 437 399 373 341 312 294 267 262 255 245 250
39 34 30 28 25 23 24 28 34 39 40 37 34 33 33 34 33 31 29 28 28 27 27 27 27 27 28 29 29 28 30 35 44 50 44 35 45 50 54 61 72 83 95 106 116 135 180 239 257 202 157 118 58 15 2 1 1 1 0 0 1 7 13 20 26 31 32 32 31 30 29 29 29 29 28 28 25 16 8 3 1 4 16 23 56 94 188 337 550 808 1075 1257 1206 973 889 950 806 580 410 302 251 281 392 564 735 750 739 783 789 732 680 668 680 724 807 896 976 1029 1044 1030 969 916 846 743 643 581 556 512 493 491 455 445 450 428 398
34 30 27 26 26 22 23 25 31 36 36 34 32 30 29 30 32 41 37 34 36 35 36 36 33 31 35 41 45 55 68 75 83 91 89 85 89 93 98 110 112 109 109 109 103 102 118 131 102 83 65 33 8 3 5 6 4 1 0 0 0 1 1 11 22 28 31 32 30 27 25 23 21 19 19 20 16 10 4 2 1 6 15 39 108 203 359 605 878 1042 1076 1012 732 404 339 364 366 316 304 337 401 485 542 557 508 458 487 515 506 522 548 547 531 573 669 776 930 1057 1127 1148 1117 1020 921 833 734 659 663 688 699 706 693 680 682 684 636
28 24 21 26 28 25 24 25 27 30 29 27 27 25 26 30 34 83 91 79 77 73 82 83 71 68 75 80 81 90 105 109 102 98 94 95 89 83 83 80 73 64 57 44 30 26 27 24 11 9 6 1 8 18 16 8 3 0 0 0 0 0 0 4 12 21 29 30 29 26 21 16 10 7 8 13 14 9 3 0 0 5 17 73 190 347 572 828 942 833 649 525 349 198 201 209 238 289 378 482 567 610 587 512 444 397 384 394 424 466 504 526 540 594 653 711 780 865 938 983 999 974 930 886 826 762 765 816 891 919 895 843 812 826 839
22 16 14 25 28 27 28 29 28 28 27 23 26 23 28 34 72 118 137 152 177 191 172 139 126 131 126 111 98 94 94 87 72 59 45 32 24 25 24 19 15 14 12 6 1 0 0 1 0 0 1 12 38 45 23 7 1 0 0 0 0 0 0 1 4 13 24 26 26 22 15 9 4 1 2 7 10 6 1 0 1 6 31 116 257 480 738 854 713 440 257 263 243 225 261 282 318 400 491 542 574 559 557 526 484 439 407 398 425 492 570 673 788 773 675 611 558 567 614 661 718 783 817 846 843 823 861 966 1020 989 951 921 912 919 934
12 8 11 23 28 30 32 34 33 33 33 26 26 38 80 111 133 138 137 142 140 123 117 122 124 115 105 89 73 63 53 38 27 18 10 3 1 0 1 1 0 0 0 0 0 0 0 0 0 0 1 7 12 9 4 4 0 0 0 0 0 0 0 0 3 9 17 20 20 16 10 5 1 0 3 6 4 2 0 0 4 16 60 162 300 510 690 655 446 262 193 252 280 319 354 367 390 432 464 492 544 565 604 628 617 579 547 532 566 647 668 661 625 583 522 478 434 415 427 442 453 510 597 650 677 713 790 871 909 938 981 1003 1006 991 988
4 2 7 19 28 33 37 38 37 36 37 31 35 72 116 124 109 98 96 96 99 92 92 94 89 83 73 58 42 30 21 10 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 2 9 12 14 13 8 4 2 1 0 2 4 2 0 0 1 8 35 98 203 326 434 479 418 307 275 286 309 322 343 360 372 394 412 439 494 538 555 586 612 617 628 633 621 617 613 561 490 418 409 429 439 420 389 369 368 384 400 451 491 519 564 635 716 778 847 923 957 966 971 996
2 4 10 21 28 34 38 39 39 38 37 36 62 95 102 95 85 80 76 70 70 68 63 55 45 42 41 32 19 12 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 2 9 13 11 7 2 0 2 3 1 0 0 0 0 0 3 17 55 124 227 341 411 399 360 326 338 344 326 312 310 311 333 391 426 469 483 486 489 480 455 442 445 451 459 434 401 374 348 324 342 390 413 386 369 347 327 331 343 353 363 382 413 452 511 591 668 729 755 790 863 958
10 19 35 49 47 42 40 38 38 38 37 39 51 63 65 68 64 53 46 39 33 28 21 15 13 13 11 8 5 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 1 1 0 3 9 10 6 3 2 1 2 3 2 0 0 0 0 0 7 26 65 129 228 352 409 381 362 338 328 316 298 286 285 293 305 330 338 351 373 383 388 377 347 323 305 281 258 253 259 269 286 299 307 319 313 290 287 274 269 268 267 263 257 254 262 281 300 330 374 431 465 515 594 663
35 57 92 106 94 70 47 34 34 34 34 33 33 34 40 41 32 20 13 10 7 3 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 0 0 0 0 0 1 3 3 1 5 8 6 3 3 4 4 4 2 0 0 0 0 0 2 11 29 63 127 223 340 362 331 301 277 265 261 253 239 225 217 218 216 218 229 250 267 278 280 270 253 240 233 211 199 210 231 242 230 213 201 190 197 201 207 215 237 250 236 212 194 182 185 189 196 215 236 258 280 310 353
83 96 104 107 102 79 48 30 30 29 28 24 25 24 23 18 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 1 4 7 7 1 3 5 5 3 3 5 6 4 1 0 0 0 0 0 1 6 15 28 57 118 194 274 281 244 211 200 202 200 185 162 146 138 133 135 142 150 161 175 188 192 188 186 178 178 174 166 162 152 136 133 143 136 137 139 140 144 156 177 195 199 192 179 166 163 163 163 166 172 184 201 228 277
62 40 23 33 50 50 37 25 25 21 20 18 19 15 11 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 4 11 16 13 4 4 3 3 4 5 5 5 4 3 1 0 0 0 0 2 6 14 28 57 102 154 197 200 175 156 148 144 140 124 104 96 93 93 98 105 112 119 128 139 146 146 145 143 140 137 135 133 128 122 123 125 120 115 112 111 110 113 126 142 152 162 161 153 148 145 144 145 150 160 179 206 262
34 37 27 18 22 26 27 17 18 13 10 8 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 0 0 1 6 15 20 12 7 3 1 2 4 5 5 4 3 3 2 0 0 0 0 0 3 7 12 24 53 86 109 138 146 135 121 112 103 97 86 69 66 66 68 74 82 91 101 112 122 132 137 137 135 132 130 129 127 128 129 128 123 117 114 112 112 113 115 118 127 130 136 139 138 138 139 139 135 135 143 168 205 222
32 65 46 16 17 17 18 10 7 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 3 10 16 11 4 2 1 2 2 2 2 1 2 1 1 0 0 0 0 0 0 1 5 7 17 42 73 83 99 108 106 101 93 82 73 63 49 48 52 57 62 68 77 87 99 111 122 131 130 126 122 121 120 117 117 118 119 120 120 117 112 109 110 114 118 122 123 121 121 120 120 123 124 116 126 136 157 180 185
16 23 18 10 12 12 11 7 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 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 7 2 0 0 0 1 1 1 0 0 1 0 1 0 0 0 0 0 0 0 1 3 13 35 63 73 77 80 82 81 75 68 61 51 43 42 43 47 51 57 64 74 85 94 102 105 107 107 106 105 102 100 98 102 106 106 103 98 92 88 88 93 97 98 99 99 99 99 99 99 98 100 110 127 148 169 179
8 3 4 7 10 11 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 4 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 28 51 64 64 61 64 67 63 56 50 44 41 39 38 38 39 43 50 58 66 73 76 79 82 84 88 88 85 81 80 80 81 80 77 72 66 61 60 60 63 66 68 69 70 70 70 69 73 79 89 103 121 140 153
1 1 2 5 9 12 9 8 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 4 8 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 23 41 56 60 55 58 61 57 49 44 41 38 36 35 34 34 34 36 40 42 45 48 48 54 60 67 73 70 63 60 61 59 55 52 49 43 39 38 38 39 41 42 42 43 44 45 46 49 49 53 62 74 91 110
1 1 2 4 6 8 7 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 0 0 0 0 0 0 0 0 0 0 0 2 6 8 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 18 33 49 60 57 58 57 52 46 42 38 36 34 32 29 28 28 29 30 30 30 30 30 31 34 43 50 47 41 39 38 34 31 32 32 29 28 28 27 27 28 30 30 30 31 32 32 33 33 34 37 42 51 65
0 2 3 4 4 4 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 0 0 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 1 5 12 24 40 53 52 51 50 47 43 40 37 34 32 27 25 25 25 25 26 26 25 24 24 23 23 26 30 30 28 28 27 25 24 22 22 22 22 22 21 22 21 22 25 24 25 27 28 29 29 29 30 31 36 45
0 0 1 2 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 18 31 43 49 46 45 44 40 37 32 28 24 23 22 21 21 22 23 24 23 24 23 20 18 19 21 22 21 19 19 19 16 16 16 15 15 15 14 14 14 17 20 20 21 22 24 25 26 27 27 27 29 33
0 0 0 1 3 3 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 1 5 11 21 31 37 39 39 38 35 30 25 23 22 21 18 16 16 17 18 20 18 21 21 19 18 17 16 17 17 16 16 16 15 13 13 12 12 13 13 16 14 15 16 16 17 18 20 23 23 23 23 23 24 27
0 0 0 1 1 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 14 21 27 29 30 30 28 25 22 20 18 16 13 11 10 11 13 13 12 12 11 11 12 11 10 12 12 13 12 13 13 12 11 12 12 13 13 14 12 13 13 13 13 15 15 17 18 19 19 20 20 22
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 0 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 12 15 18 19 19 21 22 20 17 14 12 9 7 6 6 7 7 7 6 5 5 5 4 4 5 7 7 7 6 7 8 8 8 8 9 10 11 11 11 10 10 10 10 12 12 13 14 14 14 15 15 17
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 9 10 11 11 12 13 14 12 10 8 6 4 4 3 3 3 3 2 2 2 2 2 2 2 3 2 3 2 3 4 5 5 4 5 5 5 7 8 8 7 7 7 6 7 7 7 9 10 10 11 11 11
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 8 7 7 7 6 4 2 1 2 1 1 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 2 1 2 3 3 3 4 4 4 3 3 3 2 2 2 2 4 5 6 7 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 3 3 3 2 1 1 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 1 2 2 2 2 1 1 1 1 1 2 3 3 3 2 2
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