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 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 16 23 22 14 9 8 7 6 6 6 7 8 8 8 8 8 7 7 7 5 -0 -6 -5 0 4 5 4 4 4 3 3 4 4 4 5 5 6 7 7 7 7 7 6 5 4 2 2 2 2 3 4 4 5 6 6 6 6 5 5 6 9 13 16 18 18 17 15 14 13 14 14 14 13 10 nan
nan 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 6 6 6 6 6 7 11 17 20 17 11 8 7 7 6 6 7 8 8 8 9 9 8 7 8 8 5 -1 -5 -3 1 4 5 4 4 3 3 3 3 4 4 5 5 6 6 7 8 8 8 7 6 4 3 2 2 2 3 3 4 4 5 6 6 6 6 5 5 6 9 12 16 18 18 17 15 14 14 14 14 13 11 nan
nan 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 7 10 15 18 16 13 12 10 8 7 7 7 8 9 9 9 9 8 7 7 8 7 3 -3 -6 -4 2 5 5 4 3 3 3 3 3 4 4 5 5 6 6 7 7 8 8 8 7 6 4 3 2 2 2 3 3 4 4 5 5 6 6 6 5 5 6 9 12 16 17 18 17 16 15 14 14 13 12 nan
nan 6 6 6 6 5 5 5 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 7 7 7 7 6 8 13 18 18 13 12 14 12 9 7 7 8 9 9 9 9 8 8 7 7 7 5 -0 -6 -8 -2 4 6 5 4 3 3 3 3 3 4 4 5 5 6 6 6 7 8 8 9 8 7 6 4 2 2 2 3 3 3 4 4 5 6 6 6 5 5 5 6 9 13 16 17 18 17 17 16 15 14 13 nan
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nan 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 7 7 8 9 9 8 7 7 7 7 7 7 7 7 7 7 6 5 4 5 7 8 8 7 7 8 8 8 8 8 8 8 9 9 10 10 11 10 9 10 10 9 7 6 7 7 8 9 10 11 12 12 12 10 8 7 6 6 5 5 5 6 6 7 9 11 12 14 14 12 10 9 8 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 nan
nan 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 8 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 7 7 5 4 3 5 7 8 7 7 7 7 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 8 8 9 9 9 11 13 15 16 15 14 12 10 8 7 7 6 5 4 5 5 6 8 9 13 17 17 16 13 11 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 nan
nan 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 8 8 8 7 7 7 7 7 7 7 8 8 7 7 5 4 4 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 8 9 10 10 10 10 12 14 15 15 15 14 12 11 10 9 9 9 8 7 7 8 7 6 7 11 15 17 18 18 19 19 19 17 15 12 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 nan
nan 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 6 6 5 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 5 6 8 8 7 7 7 7 8 8 7 7 8 8 8 8 7 6 6 7 7 7 7 8 9 11 11 11 11 12 13 13 12 11 12 12 11 11 10 10 10 11 11 11 11 12 9 6 6 9 11 14 17 21 26 28 27 23 18 13 11 10 9 9 9 10 10 10 10 10 9 9 9 9 8 8 8 8 8 7 7 8 8 8 9 9 10 10 10 10 nan
nan 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 8 8 7 7 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 8 8 8 8 7 7 7 6 7 9 10 9 9 8 8 8 8 9 8 8 8 8 8 7 7 6 7 7 7 8 8 8 9 10 11 12 13 14 14 13 13 12 12 11 10 11 11 11 12 12 13 13 13 11 9 8 8 9 10 11 14 18 21 24 23 21 17 13 11 10 9 9 9 10 10 10 10 10 9 9 9 9 8 8 8 8 8 7 7 8 8 9 9 10 10 10 11 10 nan
nan 8 8 8 8 8 8 7 7 8 8 8 8 8 7 7 7 7 7 7 7 6 6 5 5 5 6 7 7 6 6 6 5 6 7 8 9 9 8 8 7 7 7 8 9 10 10 10 10 9 9 9 10 10 9 9 8 8 7 7 6 6 6 7 7 8 8 8 8 9 10 11 13 14 14 14 15 15 13 11 10 12 12 13 13 14 14 15 13 9 8 8 9 10 9 9 10 12 13 13 14 13 13 13 13 12 11 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 10 11 11 10 nan
nan 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 8 8 7 7 6 6 7 9 10 10 9 8 7 8 8 8 8 9 9 9 10 10 10 11 12 11 11 9 8 7 7 6 6 6 5 5 6 7 8 8 8 8 9 10 10 11 12 13 13 13 12 12 11 11 11 12 12 13 14 15 15 12 9 7 8 9 10 9 7 7 9 10 9 8 9 12 16 18 17 15 12 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 nan
nan 8 8 9 9 8 8 8 8 8 7 7 7 7 7 8 7 7 7 7 7 7 6 7 7 8 9 10 9 8 7 7 7 8 9 10 10 8 8 7 8 8 8 8 8 8 8 9 9 10 11 12 11 10 9 8 7 7 7 6 5 5 5 7 8 8 8 8 9 9 10 10 10 10 10 10 9 8 8 9 9 10 11 12 13 14 14 13 10 8 8 10 11 10 8 7 8 9 9 9 8 9 12 17 20 20 19 16 13 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 nan
nan 8 9 9 8 8 8 8 8 8 7 7 8 7 7 7 7 7 7 7 6 6 7 8 9 10 10 10 8 7 6 6 7 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 9 9 10 11 11 10 8 7 7 8 8 8 7 7 8 9 9 9 9 8 8 7 7 6 6 6 7 8 9 11 13 14 14 12 8 6 7 9 11 11 10 8 9 10 10 10 8 8 9 11 13 16 18 20 20 17 14 12 10 9 9 9 10 10 9 9 9 9 10 10 10 9 9 9 8 8 8 9 9 9 8 nan
nan 8 8 8 8 8 8 8 8 7 7 8 8 7 7 8 8 8 7 7 6 7 7 8 9 9 8 7 6 5 6 7 8 9 10 8 8 8 8 8 9 9 9 8 7 7 7 8 8 9 9 8 7 8 9 11 12 13 12 11 10 10 9 8 6 5 6 8 9 9 8 7 7 6 5 5 6 6 6 5 6 9 12 13 14 12 9 6 6 7 9 10 9 9 9 10 11 11 9 8 8 9 9 10 11 14 17 19 20 18 16 14 13 13 13 12 12 11 10 10 10 10 10 10 9 9 8 7 7 7 7 8 8 8 nan
nan 7 8 8 8 7 8 8 8 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 6 6 5 6 7 9 11 11 10 9 8 8 8 9 9 9 8 7 7 7 8 8 9 8 8 7 7 8 9 11 12 12 13 13 12 11 10 7 5 6 7 9 9 8 7 7 5 4 5 6 7 7 5 4 5 8 10 12 12 10 9 8 8 9 9 9 8 8 9 11 11 9 8 7 8 8 8 8 9 10 11 14 17 19 20 20 21 22 21 19 16 12 10 10 10 9 9 9 9 8 7 7 6 7 7 7 8 8 nan
nan 7 7 7 8 8 8 8 8 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 6 6 8 9 11 11 11 10 9 8 9 9 9 10 9 8 7 7 8 8 9 9 9 9 9 9 10 10 11 11 11 12 12 12 12 10 8 8 10 10 10 8 7 6 6 5 5 6 8 8 7 5 5 6 9 11 11 10 9 9 10 11 11 11 9 9 9 9 10 10 9 7 7 7 7 8 8 8 7 8 10 12 16 19 22 24 25 24 22 17 11 10 9 9 9 8 8 8 7 7 6 6 7 7 8 9 9 nan
nan 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 9 10 9 8 8 7 8 8 9 10 10 10 10 11 11 11 11 11 10 10 11 12 13 12 11 11 12 12 11 9 7 5 5 6 6 6 8 10 9 6 6 6 8 11 11 10 9 9 10 11 12 13 12 11 10 9 9 9 9 8 8 8 8 8 7 7 7 7 8 8 9 11 14 17 18 18 15 11 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 10 nan
nan 7 7 7 7 8 8 8 8 8 8 7 7 8 8 8 8 8 8 9 9 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 9 8 8 8 8 9 9 10 10 11 11 11 10 10 10 9 9 9 10 12 13 13 12 13 13 12 9 6 4 4 5 6 7 8 9 9 7 5 6 8 10 11 11 10 9 10 11 12 13 12 12 12 11 11 10 9 8 8 9 9 9 8 7 7 7 7 8 8 8 9 10 11 11 9 5 -1 -1 3 6 8 8 8 8 8 8 7 7 8 8 9 9 10 11 11 nan
nan 7 7 7 7 8 8 8 9 9 8 7 7 7 7 8 8 8 9 9 9 8 8 8 9 9 9 8 8 7 7 7 7 7 8 8 8 9 10 10 9 9 8 8 9 9 9 10 11 11 10 9 8 8 8 8 8 9 10 12 12 12 12 12 11 9 6 3 3 3 4 5 7 8 8 7 5 6 8 10 11 11 11 11 11 12 12 12 11 11 11 12 12 12 11 9 9 9 10 10 9 8 6 7 7 8 8 7 8 8 9 9 9 6 1 -2 0 5 8 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 nan
nan 8 7 7 7 7 8 8 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 9 9 10 9 8 6 6 6 6 7 7 8 8 8 9 10 10 10 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 8 9 10 10 10 9 9 8 7 5 5 5 4 4 4 5 6 7 7 7 9 10 10 10 11 12 13 13 12 11 10 9 10 10 10 10 9 9 9 9 9 10 9 7 5 5 6 7 8 7 8 8 9 9 8 6 3 1 1 6 11 14 13 11 10 10 10 10 10 10 10 10 11 11 12 11 11 nan
nan 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 10 10 9 6 4 4 4 6 6 7 8 8 8 8 9 9 9 9 9 9 8 8 9 10 10 9 8 8 8 8 8 7 7 7 7 8 8 7 7 7 7 8 8 8 8 7 6 5 5 6 8 9 10 10 9 8 9 11 13 13 13 12 10 9 9 10 10 9 9 8 8 8 8 8 7 6 4 4 5 6 7 8 8 8 8 9 9 8 6 5 6 11 18 22 22 20 16 13 12 11 11 10 10 11 11 11 11 11 11 10 nan
nan 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 9 10 11 10 10 11 10 8 5 3 3 5 7 7 8 8 8 7 7 7 8 9 9 9 8 8 8 9 10 10 9 8 7 7 6 6 5 5 5 6 6 7 7 7 8 9 10 11 11 10 9 9 9 9 9 10 10 9 7 6 7 10 12 13 12 11 10 10 9 9 10 10 10 10 10 9 9 9 8 6 5 5 6 7 7 8 8 8 8 8 8 8 9 9 11 15 22 26 27 25 23 21 18 15 12 11 11 11 10 10 10 10 10 9 8 nan
nan 8 8 8 7 8 8 8 8 8 8 8 8 8 7 7 8 8 9 10 11 11 10 10 10 9 7 5 4 6 8 8 8 8 8 7 7 7 8 9 9 10 10 10 10 10 11 11 10 9 8 6 6 5 5 4 4 4 5 6 6 7 8 9 10 11 11 11 10 10 10 11 12 12 11 9 7 5 6 8 11 12 11 9 8 9 9 8 9 10 11 11 11 11 11 11 10 8 8 7 8 8 9 9 9 9 8 7 7 7 8 9 10 13 17 20 21 20 20 20 22 20 17 13 10 10 10 10 9 9 9 8 7 7 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 10 9 9 9 8 6 5 6 8 10 10 9 8 7 6 6 8 10 10 10 10 11 12 13 13 13 12 11 9 8 7 7 7 6 5 5 5 5 6 6 7 8 9 9 10 9 9 9 10 10 11 11 11 10 8 7 7 9 10 11 9 6 5 7 7 7 8 9 10 11 10 10 11 11 12 11 11 10 10 10 11 11 11 11 9 7 6 7 8 8 8 9 10 12 13 12 11 12 14 16 17 16 12 11 10 9 9 8 8 7 7 6 6 nan
nan 8 8 8 8 8 8 8 9 8 7 7 8 8 8 8 8 8 9 10 10 9 9 9 8 7 5 4 6 9 10 10 9 8 6 5 6 9 11 11 10 10 11 13 13 13 13 13 12 11 10 10 10 9 8 7 7 6 6 6 7 8 8 8 9 8 8 8 8 9 9 10 11 10 9 8 7 8 10 11 9 7 5 6 7 6 6 7 9 9 9 9 10 10 11 12 13 13 12 11 11 12 12 12 11 9 7 7 7 8 9 9 9 9 9 9 8 6 4 4 6 8 9 9 10 9 8 8 7 7 7 7 7 7 nan
nan 8 8 8 8 9 9 9 9 8 7 7 7 8 8 9 8 8 9 9 9 9 9 9 7 6 5 5 7 9 10 9 9 9 8 6 8 10 10 10 9 10 11 11 11 12 13 14 14 13 11 11 11 10 9 8 7 7 6 6 6 7 7 7 8 7 7 7 8 9 9 9 10 10 9 9 9 10 11 10 9 8 8 9 9 8 8 8 8 8 8 9 9 10 11 13 13 13 12 12 12 12 11 11 9 7 7 7 8 9 9 9 8 8 7 6 4 -0 -4 -6 -5 -3 -1 4 7 8 8 8 8 8 8 8 8 8 nan
nan 8 8 9 9 9 9 9 9 8 7 7 7 8 8 9 9 9 9 8 8 8 9 8 7 6 6 7 8 9 8 8 8 9 8 8 10 11 10 10 9 10 9 9 9 10 12 14 14 13 11 9 9 8 6 5 5 5 4 4 4 4 5 6 7 7 7 7 8 9 9 9 10 10 11 11 12 12 11 11 11 10 11 12 12 12 12 11 10 10 9 9 9 10 11 12 11 11 11 11 12 11 11 10 8 7 7 9 10 10 9 8 7 7 6 4 2 -1 -4 -6 -5 -5 -2 3 7 9 9 9 9 9 9 9 9 8 nan
nan 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 7 7 7 6 6 6 6 6 6 7 8 9 9 8 7 8 11 11 11 11 11 10 9 8 8 9 11 12 13 13 12 11 9 7 6 5 5 4 4 3 2 2 3 4 6 6 7 7 8 8 8 9 10 10 11 12 12 13 13 12 11 11 12 13 13 14 13 12 12 12 11 10 9 9 10 10 9 10 10 11 11 12 12 10 9 8 9 10 11 9 7 6 6 6 6 6 6 7 7 8 7 5 7 8 10 10 10 10 10 10 10 10 9 8 nan
nan 8 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 7 5 5 5 5 5 5 5 6 7 10 11 11 9 8 8 10 12 12 11 11 11 10 9 9 9 9 10 11 12 14 14 13 12 11 11 10 9 9 8 6 4 3 3 5 6 6 6 7 7 7 7 8 9 9 9 10 11 12 12 11 10 10 11 12 12 12 12 12 13 13 12 10 8 8 8 8 9 10 10 11 11 12 12 11 10 10 10 10 9 7 6 6 7 7 7 9 11 14 17 18 16 13 11 10 11 11 10 10 10 10 10 10 9 8 nan
nan 8 9 9 9 9 9 9 8 8 9 8 8 8 8 9 10 10 9 6 4 3 3 4 5 6 6 8 11 13 13 10 8 7 9 12 13 13 12 11 10 10 10 9 9 9 9 10 11 12 12 12 13 13 13 13 13 13 12 12 10 9 7 7 6 7 7 7 6 6 7 8 8 8 8 8 9 10 9 8 8 9 10 10 10 10 10 11 12 12 11 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 7 6 7 8 9 9 10 11 13 15 17 17 15 12 10 10 10 10 10 10 10 9 9 9 8 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
10 8 8 8 7 7 6 8 8 10 12 13 16 18 20 21 22 23 24 24 25 24 24 26 29 30 31 31 31 30 31 30 29 29 29 30 30 30 32 34 34 34 33 34 35 35 33 29 26 24 21 18 18 18 16 13 10 8 6 5 4 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 1 5 11 16 24 35 51 66 70 69 70 71 72 82 137 221 293 366 467 586 672 698 775 818 965 1265 1754 2403 2867 2686 2029 1555 1189 1048
7 6 6 6 5 6 6 6 7 9 12 15 19 22 23 24 23 24 24 24 24 24 23 23 24 26 29 29 30 30 31 31 31 30 28 28 29 29 29 30 32 33 33 34 35 37 37 34 29 26 24 22 16 15 15 12 9 6 6 6 5 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 2 5 10 17 26 37 52 58 60 63 69 68 67 89 141 207 270 335 459 591 647 714 766 840 997 1311 1855 2465 2743 2520 2085 1516 1084
5 5 5 5 5 5 6 6 8 11 15 20 24 26 29 29 29 27 26 25 24 23 23 23 22 24 28 28 29 29 30 30 31 30 29 29 29 29 30 29 31 32 32 32 33 36 37 36 34 31 25 23 22 18 15 12 9 7 7 6 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 1 2 6 12 20 27 37 45 48 53 63 67 67 70 88 125 188 267 332 434 540 639 719 769 844 1036 1400 1912 2425 2683 2481 1939 1382
4 5 5 5 5 5 6 7 10 13 15 19 22 26 30 31 34 32 30 29 27 25 24 23 23 24 28 29 28 27 28 29 29 30 31 32 32 31 31 30 31 32 32 32 33 34 36 36 35 33 30 26 24 19 16 12 9 7 6 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 0 1 1 1 1 0 0 0 0 0 1 1 3 8 14 20 30 39 42 45 54 64 67 62 61 75 108 173 224 298 414 543 651 715 762 853 1046 1391 1951 2381 2461 2154 1672
3 3 3 4 4 5 6 6 9 12 15 18 20 23 25 28 31 33 33 31 29 28 26 25 25 25 27 27 26 26 27 27 28 29 29 30 30 30 32 32 33 33 34 34 34 34 36 36 35 33 31 28 25 21 18 14 10 8 6 5 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 1 1 1 1 2 2 2 2 1 0 1 1 1 2 2 5 9 14 22 32 39 45 52 60 63 58 56 59 70 102 153 210 297 421 546 640 702 752 817 1038 1500 1960 2232 2208 1965
4 3 2 2 2 2 3 5 7 11 14 18 20 22 23 25 25 28 30 30 28 27 27 27 27 26 26 26 25 26 26 27 28 28 27 28 29 30 31 32 34 35 36 36 36 36 36 36 36 34 31 28 25 22 19 15 11 9 6 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 0 0 1 2 2 2 2 2 3 4 4 3 2 1 1 2 2 2 2 6 10 15 24 32 38 43 54 59 57 56 57 56 62 93 149 223 318 425 562 655 693 719 844 1154 1594 1995 2168 2054
1 0 0 0 1 0 1 3 6 9 13 16 19 21 22 24 25 24 23 24 25 24 24 25 26 27 27 27 26 26 27 27 28 28 28 29 30 30 30 31 33 35 36 37 37 37 37 36 36 34 30 28 26 24 21 17 14 11 8 7 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 1 3 3 3 4 3 4 5 5 5 4 3 2 2 2 2 2 4 7 11 17 25 33 37 48 54 56 58 61 61 62 69 97 158 242 324 485 574 628 649 702 879 1242 1720 2046 2107
0 0 0 0 0 0 1 2 4 8 12 15 17 17 19 18 19 18 17 17 18 18 19 21 23 25 26 27 27 26 27 27 27 28 29 33 32 31 31 30 31 33 34 35 36 36 36 35 35 32 28 24 22 20 19 18 16 12 9 8 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 1 2 3 3 4 5 6 7 8 8 7 6 5 4 3 3 2 2 3 4 7 11 17 25 32 41 49 55 58 62 66 66 63 65 93 161 248 391 489 544 569 594 685 950 1417 1850 2078
0 0 0 0 0 0 0 1 4 7 11 13 14 13 14 14 15 14 14 14 15 16 16 16 18 21 24 26 27 27 26 26 26 27 28 33 34 33 32 31 31 32 31 31 32 32 33 31 30 28 24 21 18 16 17 17 16 15 12 9 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 0 1 2 3 5 6 7 9 10 11 11 8 7 7 5 3 3 3 3 3 4 7 11 17 25 34 43 50 53 57 61 64 63 58 58 91 175 300 405 470 504 532 601 772 1113 1556 1928
0 0 0 0 0 0 0 1 3 6 8 9 11 11 11 11 11 12 12 12 12 13 15 14 14 17 21 23 25 26 25 26 25 25 25 26 27 29 29 29 30 29 29 28 27 27 26 25 24 22 20 18 16 14 13 14 14 16 13 10 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 1 2 3 6 8 9 10 12 14 15 13 11 10 10 6 4 4 3 3 3 5 7 11 17 25 34 42 47 53 58 62 77 66 58 70 125 234 346 407 446 487 537 642 848 1229 1624
0 0 0 0 0 0 0 1 4 5 5 6 7 8 8 8 8 9 9 10 9 11 11 12 15 17 18 20 22 23 23 23 24 23 23 22 21 22 23 24 25 24 24 24 22 20 19 18 17 15 14 13 12 11 10 10 11 12 11 9 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 1 2 4 7 10 11 11 13 15 16 16 15 14 13 10 7 5 4 3 3 3 4 7 12 18 26 35 42 49 56 62 69 68 65 65 92 176 295 366 413 455 499 571 707 996 1391
0 0 0 0 0 0 0 1 3 4 3 4 4 5 6 6 7 7 7 7 7 8 9 11 14 16 17 19 20 21 21 21 21 19 18 16 15 16 17 16 17 17 17 18 15 13 11 12 12 11 10 9 9 9 9 9 8 8 9 8 6 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 1 2 3 5 10 13 14 13 15 16 17 18 17 17 16 14 10 7 6 4 4 3 3 5 8 13 19 27 37 47 57 63 69 72 71 68 74 116 215 319 363 406 469 536 631 821 1150
0 0 0 0 0 0 0 1 2 2 3 3 3 3 4 4 5 5 6 5 6 7 7 9 12 14 16 17 18 18 17 16 15 15 14 14 14 14 14 14 13 13 12 12 10 8 7 7 6 5 5 6 6 7 7 8 7 6 6 5 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 2 4 5 7 12 17 18 17 18 18 19 18 18 18 18 16 14 10 8 6 5 4 3 4 5 9 14 21 31 43 55 64 73 78 80 78 75 86 143 269 279 332 416 489 559 652 839
0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 3 3 3 3 3 4 4 6 9 10 12 13 13 14 14 13 12 12 12 13 13 13 13 12 11 10 10 9 7 6 5 3 2 2 1 1 2 3 4 5 6 5 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 1 2 4 7 9 10 14 18 21 20 21 20 20 19 19 19 19 19 17 13 10 9 7 5 3 3 4 6 10 17 25 38 50 62 75 83 89 90 85 81 104 202 260 303 357 428 512 544 612
0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 3 3 3 3 3 3 3 6 7 8 8 8 8 9 10 10 12 10 10 11 13 12 11 9 8 7 7 5 4 3 1 1 0 0 0 0 0 0 1 1 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 3 6 11 14 15 17 18 21 21 22 22 21 22 21 20 19 19 18 17 14 11 9 8 6 4 2 3 7 13 20 31 43 57 71 86 97 101 95 85 93 146 216 277 318 366 489 522 532
0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 3 3 3 5 6 6 6 5 5 5 7 6 8 8 9 11 11 11 10 8 5 4 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 9 12 16 19 21 19 23 24 23 23 25 27 24 21 19 19 20 20 17 13 10 10 8 5 3 4 6 9 14 23 36 52 70 87 102 107 103 95 92 111 163 239 285 305 420 512 517
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 2 3 5 5 4 4 4 4 5 4 5 6 7 9 9 8 6 4 2 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 1 5 9 13 16 20 23 24 24 25 25 25 26 28 30 26 24 21 20 20 20 19 15 11 10 9 8 6 6 5 6 9 17 30 48 67 86 101 110 114 109 99 95 117 188 249 279 331 464 546
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 3 3 3 3 3 3 3 4 6 7 7 7 5 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 2 7 12 16 21 28 32 31 30 28 28 29 31 30 31 28 26 24 21 20 20 19 17 14 11 9 9 8 7 6 6 8 13 23 41 56 77 94 108 118 120 110 101 105 158 227 266 294 395 512
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 3 3 3 2 3 3 3 4 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 14 21 27 33 38 40 39 38 36 32 32 32 32 31 30 27 22 19 20 20 18 16 13 9 9 9 9 8 8 9 11 16 29 44 62 81 100 115 122 121 118 115 134 181 225 264 326 403
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 1 1 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 3 10 15 25 31 36 41 43 43 43 41 34 31 31 31 32 33 30 25 22 23 22 21 19 16 13 10 9 10 10 11 10 11 13 21 33 48 65 87 108 118 121 123 123 126 143 170 206 246 275
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 16 25 33 38 43 47 46 45 44 39 31 30 30 30 31 30 27 26 26 25 25 23 22 20 16 11 11 13 12 11 11 12 16 25 39 53 71 94 112 122 123 125 126 128 138 159 173 156
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 18 27 34 40 45 51 53 53 51 45 37 32 30 29 29 29 30 31 28 27 26 26 26 25 22 18 15 14 14 13 12 12 15 24 35 46 59 80 103 119 124 126 126 125 122 124 129 125
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 20 27 34 40 47 54 58 60 58 52 47 39 33 29 29 31 31 29 28 26 25 25 26 27 25 21 18 16 15 14 13 12 16 22 31 41 52 71 91 108 119 124 125 126 117 122 126 122
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 10 15 22 28 34 40 48 55 58 62 62 59 54 47 38 29 31 30 29 28 27 26 24 25 27 28 26 24 21 18 16 14 13 12 14 17 25 36 46 62 80 96 111 121 121 122 121 125 126 122
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 13 19 25 30 35 42 50 55 59 62 63 63 61 55 47 40 42 36 31 30 30 28 26 26 25 25 26 26 25 22 18 14 13 12 11 11 20 31 42 54 70 86 101 114 117 116 116 121 127 129
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 8 9 12 17 23 29 35 37 45 51 56 59 62 64 67 67 64 58 55 52 43 37 34 32 30 28 27 26 29 31 31 29 25 20 16 14 11 11 13 20 28 36 45 59 75 89 101 109 111 109 111 117 127
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 9 11 13 15 18 25 34 39 42 47 51 56 58 60 64 68 70 69 64 61 58 54 50 44 38 33 30 30 29 32 32 31 30 28 24 19 16 13 12 13 17 24 31 37 47 60 76 90 99 105 105 105 109 123
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 10 13 15 17 18 19 23 33 39 43 47 50 54 59 62 64 69 71 71 68 64 61 60 57 51 45 39 34 35 34 33 31 30 30 29 27 25 21 17 14 15 16 19 23 29 38 52 68 81 92 100 102 104 109 121
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 11 15 18 21 24 24 27 32 37 40 42 44 50 58 62 64 69 72 73 72 68 66 64 62 57 53 47 41 39 38 35 32 30 29 29 29 28 26 21 18 18 18 17 17 21 27 42 59 75 89 96 99 102 111 125
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 8 12 16 20 22 25 30 33 35 37 39 40 43 49 56 62 64 68 72 74 74 73 71 68 67 63 59 55 50 45 41 37 32 29 30 30 29 29 29 25 20 19 19 18 17 16 18 27 44 62 78 90 87 95 111 126
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