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 nan nan nan nan nan 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 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 7 7 6 6 6 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 4 3 3 3 5 9 14 19 21 19 16 13 11 8 5 4 4 4 1 -2 -2 -1 1 3 4 5 6 6 7 8 9 10 11 12 14 15 13 11 8 7 6 5 4 4 4 5 6 7 8 9 9 8 7 5 5 5 7 8 7 7 9 10 9 7 8 10 13 12 10 8 8 8 7 5 6 9 10 8 6 7 8 9 8 8 9 10 9 8 7 6 5 5 5 5 6 7 9 9 6 4 3 3 4 4 6 9 11 9 5 3 5 8 9 7 4 2 4 6 7 7 5 4 4 6 8 11 13 15 15 14 13 12 11 nan
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nan 10 10 10 8 6 5 6 7 10 11 11 11 12 12 12 11 11 10 9 10 11 12 12 10 9 8 8 9 8 7 6 6 8 9 10 10 8 7 8 10 12 15 16 17 15 12 9 7 7 9 11 12 10 5 2 1 3 6 7 7 6 6 6 6 7 10 10 7 4 4 6 8 8 7 6 7 7 8 8 8 7 7 6 6 6 7 8 9 10 11 12 11 8 7 10 14 16 15 11 8 5 3 4 8 11 12 10 8 6 6 7 11 16 22 24 18 7 2 2 7 12 15 13 11 11 15 22 24 20 12 4 -1 -4 -2 2 7 12 14 12 9 7 5 5 6 6 6 7 8 8 7 7 9 11 13 13 11 9 7 6 4 1 -1 0 3 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 10 10 9 nan
nan 11 10 9 7 4 4 6 9 12 13 12 11 11 12 11 10 9 8 8 8 9 10 10 9 8 8 9 10 10 10 8 7 7 8 9 9 8 7 8 9 11 12 13 13 13 11 9 7 7 8 11 12 11 7 4 3 4 5 5 4 5 6 7 7 6 6 6 5 5 5 6 8 8 8 8 8 8 9 9 9 8 7 6 6 7 8 9 10 11 13 14 15 13 11 11 13 14 12 9 5 3 2 3 7 11 13 12 10 8 7 7 10 15 20 22 18 9 1 -2 -0 5 10 15 16 16 16 18 19 18 15 12 9 6 4 3 4 7 8 8 7 6 5 6 8 9 9 9 8 7 5 5 8 12 16 17 16 13 10 8 6 5 4 3 4 5 6 7 7 7 6 6 6 6 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 nan
nan 11 9 7 4 3 4 6 10 12 13 12 10 10 11 11 10 9 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 8 8 8 9 9 9 9 9 10 10 10 9 9 8 6 5 6 8 10 11 11 9 6 5 5 5 6 6 7 8 9 9 7 4 4 5 6 7 8 8 9 9 10 11 10 10 10 10 9 8 6 6 7 8 9 9 10 13 16 17 15 9 8 10 12 11 8 4 2 1 2 6 10 11 12 10 9 8 9 10 13 16 18 18 13 6 1 -0 2 8 13 14 12 10 7 8 10 14 17 18 16 13 9 8 7 7 8 9 9 9 9 10 11 10 8 6 4 4 6 11 15 17 18 16 14 11 11 10 9 7 6 6 6 7 8 8 7 6 6 6 6 6 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 nan
nan 10 8 5 3 2 4 6 9 12 12 12 10 10 11 11 11 10 10 10 10 9 8 7 6 6 6 5 5 6 7 9 10 10 9 9 10 10 10 10 11 11 11 10 8 6 5 5 6 7 8 9 9 9 9 8 6 5 5 6 8 8 8 9 9 8 7 6 6 7 8 8 9 9 9 10 10 9 7 7 8 8 7 6 6 7 8 8 8 9 12 15 17 15 11 9 12 13 12 10 6 4 2 3 5 8 9 10 10 11 11 12 12 11 10 12 14 14 10 4 2 4 8 11 9 6 3 0 -2 1 7 14 18 20 19 16 13 10 9 10 13 13 11 10 10 11 10 8 6 5 5 7 12 16 16 15 15 13 13 14 14 12 9 7 7 7 8 8 9 8 7 6 6 6 6 7 7 8 8 9 9 10 10 9 9 9 8 8 9 9 nan
nan 9 6 3 2 2 4 7 10 13 14 13 13 12 12 12 11 11 10 11 11 10 9 7 6 6 5 4 4 5 7 8 9 9 10 11 11 11 12 13 13 13 13 11 9 6 4 5 7 9 10 10 8 8 8 8 7 6 6 7 8 7 6 5 7 9 10 10 9 8 8 8 9 9 9 8 8 7 5 5 6 7 8 7 7 8 8 7 7 7 10 13 15 16 15 15 15 15 14 13 11 10 8 6 5 6 7 8 10 13 15 16 15 9 4 5 9 11 10 5 3 4 6 7 5 4 2 0 -3 -3 1 8 13 17 19 18 16 14 12 11 12 13 13 13 12 11 10 9 8 7 6 7 10 12 13 13 14 15 16 17 16 13 10 8 7 7 8 9 9 9 8 6 6 6 6 7 8 8 9 9 10 10 10 10 9 9 9 9 9 9 nan
nan 8 4 3 3 4 5 9 12 15 16 15 15 14 13 12 11 11 10 10 10 10 10 8 7 6 5 4 2 3 5 6 7 8 9 11 12 12 13 14 14 14 14 13 10 8 6 6 8 10 10 9 8 6 5 6 6 7 8 9 9 7 5 4 5 9 11 13 12 11 9 9 9 9 9 8 8 7 6 6 7 9 10 10 9 9 8 7 7 7 8 11 13 14 15 15 15 14 14 14 15 15 13 9 5 3 3 5 9 14 18 19 16 9 2 2 4 7 8 6 3 3 3 4 4 5 5 4 2 0 0 3 7 10 13 14 14 12 10 8 7 10 15 16 14 13 11 10 10 9 8 7 7 8 9 10 12 14 17 18 17 13 11 9 8 8 8 9 9 9 8 8 7 6 6 7 8 8 9 10 10 10 10 10 10 10 9 9 9 9 nan
nan 7 5 4 5 5 6 9 13 16 18 17 14 13 12 11 11 11 11 10 10 10 10 9 8 6 4 3 3 3 4 5 5 7 8 10 11 11 11 13 15 17 17 17 15 12 9 9 10 10 10 9 7 5 4 5 6 7 8 9 9 10 9 7 6 8 11 13 13 12 10 9 9 9 9 9 9 9 7 7 8 11 13 13 11 10 9 8 7 7 8 9 9 8 9 11 12 12 11 11 12 14 13 9 4 1 2 5 9 14 17 16 13 8 3 2 4 5 6 6 4 4 4 5 6 6 7 7 7 7 6 4 3 4 5 6 6 5 3 2 2 7 13 16 15 13 11 10 10 10 9 7 6 6 6 7 9 11 14 17 17 15 13 11 9 8 8 8 9 9 9 9 8 8 7 7 7 8 9 9 10 10 11 11 11 11 10 10 10 10 nan
nan 7 5 4 4 5 6 7 12 16 18 17 13 10 9 9 9 10 11 10 9 9 9 10 9 7 5 5 5 5 6 6 6 6 7 8 9 9 10 12 15 18 20 21 20 17 14 12 11 11 11 9 8 6 5 6 7 7 7 7 8 10 11 10 8 8 9 11 12 11 9 8 8 8 9 10 11 11 8 6 6 9 13 14 13 11 10 8 7 7 8 8 6 4 4 6 9 9 8 6 6 8 9 7 5 3 3 6 8 11 11 8 6 4 4 4 5 5 5 5 6 7 9 10 10 9 8 9 12 14 14 10 5 3 2 2 1 -0 -1 -1 2 5 10 13 13 12 11 11 11 10 9 8 6 5 6 7 8 10 12 15 17 16 14 11 9 7 7 8 9 9 9 9 9 8 7 7 7 7 8 9 9 10 10 11 11 11 11 11 11 10 nan
nan 6 4 3 2 2 4 7 12 17 19 17 12 8 6 6 7 8 10 10 9 9 9 9 9 9 9 8 7 6 7 8 8 7 7 8 9 9 10 11 13 16 19 21 21 20 18 16 14 13 12 11 10 9 9 8 8 7 6 6 6 8 10 11 9 8 9 10 10 9 8 7 7 7 7 9 11 12 11 7 4 4 8 12 12 11 9 8 7 7 8 8 6 4 4 7 9 9 8 5 5 8 10 10 9 7 6 7 8 8 6 2 1 2 4 6 7 7 6 6 7 10 13 15 15 14 13 14 16 19 19 16 11 7 5 5 4 3 1 1 3 6 9 11 12 12 12 13 13 12 10 9 7 5 5 7 10 13 14 15 15 14 12 10 8 7 7 8 8 9 9 9 9 8 7 6 6 7 8 9 9 9 10 10 11 12 12 12 11 11 nan
nan 5 1 -0 -1 0 4 8 13 18 18 16 12 7 4 4 5 7 9 10 10 9 8 7 7 9 10 10 7 6 6 7 8 9 9 9 9 10 11 11 12 14 15 15 16 17 19 19 17 15 13 12 12 12 11 10 8 8 7 7 7 8 9 10 10 9 9 9 9 9 8 7 7 7 6 7 8 11 12 9 5 4 6 10 11 10 9 8 8 8 8 8 8 8 8 10 11 11 10 8 8 11 13 13 12 9 8 8 8 8 6 2 2 3 6 8 10 11 10 9 10 13 15 17 17 17 17 18 21 21 21 18 14 11 10 9 9 7 5 5 7 10 12 12 11 11 12 13 13 12 12 11 9 7 5 6 9 11 12 12 12 11 10 8 7 6 6 7 7 8 9 9 9 8 7 6 6 7 8 8 9 9 9 10 11 12 12 12 12 11 nan
nan 2 -2 -3 -2 0 4 9 14 17 18 15 11 7 4 3 4 6 8 10 10 9 7 6 6 7 9 10 9 7 6 7 8 9 10 10 10 10 11 12 12 12 12 11 12 13 16 18 17 15 13 12 12 12 12 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 9 9 8 6 6 8 10 11 9 8 9 10 11 10 9 8 8 8 9 9 10 10 10 11 11 10 10 8 8 9 10 10 8 7 7 7 9 10 10 8 7 8 9 11 13 15 15 14 14 15 16 15 15 14 15 17 19 20 19 17 14 12 11 10 8 7 6 7 11 15 16 15 11 9 9 10 11 11 11 11 10 8 6 6 8 9 9 10 11 11 9 7 6 5 6 6 6 7 8 8 8 7 6 6 6 7 7 8 9 9 9 10 11 12 12 12 12 12 nan
nan 1 -3 -3 -0 3 7 11 15 17 17 14 9 5 3 3 4 6 8 9 8 7 6 5 6 8 10 12 12 11 9 9 9 10 11 11 11 11 11 11 11 11 10 10 10 11 13 14 15 14 13 12 13 13 13 13 13 13 12 11 11 10 9 9 10 10 10 10 11 11 10 9 9 10 9 8 7 7 8 10 12 12 12 12 11 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 8 6 6 5 4 4 5 8 10 13 14 14 13 13 13 15 17 18 17 15 15 14 14 12 10 9 9 11 14 15 15 14 12 11 10 9 7 6 7 10 15 18 19 17 12 8 6 7 8 8 8 9 9 8 7 7 8 10 12 14 14 13 10 7 5 5 5 5 5 6 7 8 8 7 6 6 6 6 7 8 8 9 9 10 10 11 12 12 12 11 nan
nan 0 -1 2 6 9 11 14 16 17 16 13 8 5 3 3 4 6 7 8 7 7 7 8 9 12 15 16 15 14 13 12 12 12 12 12 11 11 11 10 9 9 9 9 10 11 11 11 11 11 11 12 13 13 13 14 15 16 16 14 11 9 9 9 9 9 9 10 11 12 12 10 8 9 9 9 9 8 9 10 12 14 14 12 11 9 9 9 9 9 9 9 9 9 8 8 9 10 11 11 10 8 7 6 5 5 6 8 11 14 16 17 17 16 17 18 19 18 15 12 12 12 11 9 7 6 6 7 9 11 12 12 12 11 10 9 8 9 11 14 16 18 18 16 12 7 5 4 4 4 4 5 5 6 7 8 10 13 15 17 17 15 11 8 6 5 4 5 5 6 7 8 9 8 7 7 6 6 6 7 8 9 9 10 10 11 12 12 12 12 nan
nan 2 4 7 11 13 15 17 18 18 16 13 9 7 5 5 5 6 7 7 7 7 8 10 12 15 16 16 15 14 14 13 13 13 13 12 11 11 10 9 8 8 8 9 10 11 10 9 9 9 10 11 12 12 12 13 15 17 18 16 13 10 9 10 9 8 8 8 10 12 13 12 9 8 8 8 9 9 9 10 11 12 12 11 10 8 7 8 8 8 9 9 9 9 9 10 11 10 8 6 6 6 7 8 7 6 6 7 9 12 14 15 15 15 15 16 16 14 9 6 8 9 9 7 5 5 5 6 7 9 10 11 11 10 10 10 11 12 13 14 15 16 15 13 9 6 4 4 4 3 3 2 2 4 6 8 10 12 14 15 16 15 11 8 7 6 5 5 5 6 7 9 10 10 10 8 7 6 6 6 8 9 9 10 11 11 12 12 12 12 nan
nan 6 7 9 11 12 15 18 21 22 19 16 13 10 9 7 5 6 6 7 7 6 7 9 12 13 14 13 13 13 13 13 12 12 11 10 10 9 9 8 8 9 9 10 11 11 10 9 9 9 9 9 10 10 12 13 15 18 19 19 17 14 12 13 12 10 7 7 8 10 13 13 11 9 8 8 9 9 9 9 9 10 11 10 9 7 6 7 7 8 9 10 10 10 10 11 11 9 3 -1 -0 3 6 7 7 6 6 7 8 10 11 11 10 10 10 11 10 8 4 2 3 6 6 5 4 4 5 7 8 9 9 10 10 9 9 9 10 10 11 11 12 13 13 10 8 6 6 7 8 7 5 2 1 3 5 7 8 8 8 9 10 10 9 8 7 7 6 6 6 7 8 9 11 12 12 10 9 7 6 6 7 8 9 9 10 11 11 12 12 12 nan
nan 10 10 9 9 10 13 17 21 24 22 19 16 14 12 10 7 6 6 7 7 7 7 9 10 11 11 11 12 12 12 11 10 9 8 8 8 8 8 8 9 9 10 12 12 12 11 10 9 8 8 8 8 10 12 14 16 18 19 19 18 16 15 16 15 12 9 7 6 7 10 12 12 11 10 9 9 9 9 9 10 11 12 11 9 7 6 6 8 9 10 11 10 10 10 11 11 8 3 1 3 6 7 7 5 4 5 7 9 10 9 8 7 6 6 7 7 5 3 2 2 4 4 4 3 4 7 9 9 9 9 8 8 8 8 8 7 7 7 7 9 10 10 9 8 7 7 8 10 9 6 3 2 3 4 4 4 2 1 2 4 6 7 8 8 7 7 7 7 7 8 10 11 13 13 12 11 9 8 7 7 7 8 8 9 10 10 10 11 11 nan
nan 10 9 8 8 9 11 14 18 21 21 18 16 15 14 13 12 10 8 7 7 7 8 9 10 10 10 10 10 11 11 10 9 8 8 8 9 9 9 9 9 10 11 13 14 13 12 10 8 8 8 9 10 12 13 14 15 15 16 16 16 15 14 15 15 14 11 8 6 5 7 9 11 12 11 10 9 9 10 10 12 13 14 13 11 9 8 8 9 10 11 11 9 8 9 11 12 10 9 10 12 11 9 7 5 4 5 7 8 9 8 6 5 5 6 7 7 6 6 6 6 5 5 4 3 5 8 10 11 10 9 8 8 9 8 7 6 5 5 5 6 8 8 9 9 8 8 8 9 9 6 3 3 3 3 2 0 -2 -2 -0 3 6 8 9 9 8 8 8 7 8 9 10 11 12 13 13 12 11 10 9 8 8 8 8 8 9 9 10 11 11 nan
nan 7 5 5 7 8 10 12 14 17 16 14 13 13 13 14 15 14 11 8 7 7 8 9 10 9 9 9 9 10 10 9 9 9 9 10 11 11 11 10 10 10 11 13 14 14 12 10 8 8 9 11 14 15 14 13 12 12 12 12 12 12 11 12 12 13 13 11 8 6 5 7 9 11 11 10 10 10 11 12 13 14 14 13 12 10 9 9 10 11 10 8 7 7 9 13 14 14 15 16 16 13 10 8 7 7 8 7 6 6 5 4 4 5 6 8 9 10 12 12 11 9 7 4 4 5 7 9 10 10 9 9 9 9 9 9 8 8 7 7 6 6 6 7 8 9 10 10 9 7 5 4 3 2 1 0 -1 -2 -1 2 4 6 8 9 9 9 8 8 7 8 8 9 9 10 11 11 11 11 11 10 10 10 10 9 9 9 10 10 11 12 nan
nan 6 3 3 6 8 9 10 11 12 12 11 10 11 11 12 13 14 13 11 8 7 8 8 8 7 7 7 9 11 10 9 8 8 9 10 11 12 11 11 10 10 11 12 14 14 12 10 9 9 11 14 16 16 13 11 10 9 10 10 10 9 9 9 10 11 12 12 12 10 8 8 8 9 9 9 9 10 11 12 12 12 12 12 11 10 10 10 10 9 7 5 6 9 13 17 18 16 17 17 16 14 11 10 9 11 11 9 7 4 3 4 4 4 5 7 10 13 15 15 14 11 7 4 4 4 5 6 8 9 10 10 9 9 10 11 11 11 10 8 5 4 4 6 8 10 12 11 9 7 6 6 5 3 1 -1 -2 -2 0 3 4 6 7 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 10 10 10 11 11 11 10 10 11 11 11 12 nan
nan 8 5 5 5 7 9 9 10 10 9 8 8 9 10 10 11 12 12 11 10 8 7 7 6 5 5 7 10 11 10 9 7 7 7 9 10 11 11 10 10 9 9 10 13 13 12 11 9 9 11 13 15 14 12 10 9 9 9 9 9 8 8 8 9 9 10 12 13 13 12 10 9 8 8 8 8 9 10 10 10 10 10 10 11 10 11 11 10 8 5 5 8 14 19 21 20 18 17 16 15 13 11 10 10 11 12 11 8 6 4 5 6 5 4 6 9 12 14 13 11 8 5 4 4 4 5 7 8 10 12 12 11 9 9 10 11 11 9 5 2 2 5 8 10 11 10 8 6 6 8 9 9 7 4 1 -1 -1 0 2 3 5 6 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 9 9 10 10 11 11 11 11 12 12 11 11 nan
nan 10 8 6 6 7 9 9 10 9 8 7 7 8 9 10 10 10 10 10 11 10 8 6 5 5 6 8 10 11 10 8 7 7 8 9 10 10 9 9 8 7 8 9 12 14 13 11 10 9 9 11 12 11 10 9 9 9 9 9 8 8 9 9 10 10 10 11 12 14 14 13 11 10 9 8 9 9 10 10 10 11 12 12 12 12 12 11 10 8 8 10 14 18 20 20 18 17 16 14 12 10 8 8 9 10 11 11 9 7 6 6 6 6 5 5 7 9 10 9 7 4 2 3 4 6 7 8 10 12 13 14 13 10 9 8 8 8 6 2 1 3 8 12 14 11 7 2 1 4 9 11 13 12 9 5 1 1 1 2 3 4 5 6 6 7 7 7 7 7 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 12 12 12 11 10 nan
nan 10 8 7 7 8 9 10 10 9 7 7 6 7 8 9 9 9 9 10 12 13 11 7 6 7 8 9 10 9 9 8 8 9 9 10 10 9 8 8 7 8 8 10 12 14 13 12 10 8 8 9 9 8 7 7 7 8 8 8 7 8 9 10 10 11 11 10 11 12 13 13 12 11 11 10 10 10 10 11 12 14 15 16 15 14 13 12 10 10 12 16 19 19 17 15 14 14 13 11 9 7 5 6 8 10 10 10 10 9 8 8 8 7 6 6 6 7 7 7 6 5 4 5 6 7 8 8 9 10 11 12 12 11 9 8 7 5 3 1 2 6 10 14 13 7 0 -3 -2 3 8 12 14 15 13 8 5 4 4 4 5 5 6 6 6 6 6 6 7 7 8 8 9 9 10 11 11 12 12 12 12 12 12 12 12 11 11 11 10 9 nan
nan 8 8 8 8 9 10 10 9 8 7 7 7 6 6 7 8 9 9 11 12 14 13 11 9 10 10 10 9 9 9 9 9 9 8 8 7 7 8 8 9 10 11 12 13 13 13 11 10 9 8 8 7 6 6 6 7 7 7 7 7 8 9 9 10 10 11 11 10 10 10 10 11 11 11 11 11 10 10 11 12 14 15 16 16 15 13 12 11 12 14 17 18 15 12 10 10 11 11 9 8 6 5 6 9 11 11 10 10 9 10 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 10 9 8 6 4 2 1 3 6 10 11 8 2 -4 -4 -1 3 7 11 13 13 11 8 6 6 6 6 7 7 7 8 8 7 7 7 8 8 9 10 11 12 13 13 13 14 13 13 13 12 12 12 11 11 10 10 10 9 nan
nan 7 7 9 10 11 10 9 9 9 8 7 6 5 5 5 7 9 10 10 12 14 15 14 12 11 10 10 10 9 9 8 8 7 6 5 5 5 6 8 10 12 13 14 13 13 12 11 10 9 8 7 6 6 6 7 8 9 9 8 8 7 8 8 9 9 10 10 10 9 9 9 9 9 10 10 10 9 9 9 10 11 12 13 14 13 12 11 11 11 12 13 13 10 9 9 11 11 11 10 9 7 6 7 9 11 11 10 9 10 10 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 10 10 9 8 7 5 4 3 2 3 5 7 7 4 -1 -3 -2 0 2 5 7 9 8 7 5 5 6 7 7 8 8 9 9 9 10 10 10 10 11 11 12 13 14 14 14 14 14 13 12 12 12 11 11 11 10 10 10 10 9 nan
nan 6 7 9 10 11 11 11 11 11 9 5 2 2 3 6 8 10 11 10 11 13 14 14 12 10 9 10 10 9 9 8 7 6 5 5 5 5 5 7 9 11 13 14 13 12 10 9 8 7 6 5 5 6 7 8 10 11 12 11 9 8 7 7 8 8 8 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 10 10 10 10 9 9 9 9 8 7 8 9 11 12 13 12 10 8 7 9 10 11 10 9 9 9 10 12 12 13 13 13 13 12 12 11 11 11 11 11 11 10 10 10 10 10 10 11 10 9 7 6 5 4 4 4 4 5 5 4 2 -0 -1 0 1 1 2 3 3 2 1 2 3 4 6 7 8 9 10 10 11 13 13 14 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 nan
nan 7 7 7 9 11 13 14 14 13 10 4 0 1 4 7 11 12 11 10 10 11 12 12 11 9 8 9 9 9 8 7 7 6 6 7 7 7 7 7 8 10 11 12 11 11 10 8 6 5 4 4 5 6 8 9 11 12 13 12 11 9 7 7 7 7 7 7 7 8 8 8 7 7 6 5 5 6 7 8 8 8 7 7 7 8 8 7 7 6 7 8 8 7 7 8 11 12 12 11 8 7 8 10 11 11 10 8 7 8 10 11 12 13 13 14 14 13 12 11 10 10 10 10 9 9 9 10 10 11 11 11 10 9 7 6 5 5 5 6 6 6 6 5 3 2 2 2 3 3 3 2 1 -0 -1 1 2 4 6 8 9 10 11 12 13 15 16 16 15 14 12 11 11 11 10 10 10 10 11 12 12 12 12 12 12 11 11 11 11 11 nan
nan 8 7 6 8 11 13 14 14 12 9 6 4 5 7 10 12 13 12 10 10 10 11 12 10 8 7 7 8 7 6 6 6 6 7 9 10 10 9 9 8 8 8 9 10 10 9 8 5 4 3 3 5 6 8 9 11 12 13 13 12 10 8 7 7 7 7 6 6 7 7 6 6 5 5 3 3 4 6 7 8 8 8 7 6 6 6 5 5 5 6 7 8 7 7 8 10 11 11 9 6 5 6 9 11 11 10 8 7 7 9 10 11 12 13 13 14 14 13 12 11 10 10 9 9 8 9 10 11 11 11 11 10 9 9 8 8 8 8 8 8 8 8 7 6 5 5 6 6 6 6 5 4 3 3 3 4 5 7 9 11 11 12 13 14 15 16 16 14 12 11 9 9 9 9 10 10 11 11 12 13 13 13 12 11 11 11 11 11 11 nan
nan 8 7 7 8 9 11 12 11 10 8 8 8 9 11 12 12 12 12 11 10 10 10 11 11 8 6 5 6 7 6 6 6 7 8 9 10 11 10 9 8 7 6 7 8 9 9 8 6 4 3 4 6 7 9 10 11 12 12 12 12 11 9 8 7 7 7 7 7 6 5 5 4 4 4 3 2 3 5 7 8 9 9 8 8 7 6 5 5 5 6 7 7 7 8 9 11 12 12 9 5 4 6 9 11 11 10 8 7 7 8 9 10 11 12 13 14 14 14 13 12 12 11 9 8 8 8 9 10 11 12 12 12 11 11 11 11 11 11 11 10 10 11 10 9 9 8 9 9 10 10 9 8 7 6 6 6 7 9 11 13 14 14 14 14 14 14 14 12 10 9 8 8 9 10 10 11 12 13 13 13 13 12 11 10 10 10 10 10 10 nan
nan 8 9 9 9 9 9 8 8 8 8 9 11 12 12 12 12 12 12 12 10 9 9 10 10 8 5 5 6 7 7 7 6 7 8 9 10 10 11 11 10 8 5 5 6 7 8 7 6 5 5 6 7 8 10 11 12 12 12 12 12 12 10 8 7 7 6 7 7 6 6 5 4 4 4 3 2 3 4 6 7 8 8 8 9 9 9 7 6 6 6 7 7 8 9 10 12 13 14 12 8 6 8 10 11 12 11 10 7 7 8 9 9 10 10 12 12 13 13 14 14 13 12 11 9 8 8 9 11 12 13 14 13 13 12 12 13 13 14 14 13 13 13 13 12 11 10 10 11 12 12 11 10 9 8 8 9 10 12 14 15 16 15 13 12 11 11 11 10 9 8 7 8 9 11 12 12 13 13 13 13 13 12 10 9 9 9 9 10 10 nan
nan 9 11 11 11 9 8 7 6 6 8 9 11 12 13 12 12 12 12 12 10 7 7 7 8 7 5 4 6 7 8 7 7 7 8 9 10 11 11 13 13 10 7 4 3 4 5 5 5 5 6 7 8 10 11 12 13 12 12 12 12 12 11 8 6 5 5 5 6 6 6 6 6 5 5 4 4 4 5 5 6 7 6 6 6 8 8 7 6 5 6 7 8 8 9 9 11 13 15 13 10 9 10 11 12 13 13 11 9 8 8 8 9 9 9 10 10 11 12 13 14 14 14 13 11 10 10 11 13 14 15 15 15 14 13 14 14 15 16 16 16 16 15 14 13 11 11 10 11 11 11 9 8 8 9 10 13 15 16 17 17 16 15 13 11 10 9 9 8 8 7 8 8 10 11 12 13 13 14 13 13 12 11 9 8 8 9 9 10 10 nan
nan 11 12 13 12 11 9 7 5 5 6 8 10 11 12 12 13 13 13 12 9 6 5 5 5 5 4 4 5 6 7 6 6 6 7 9 10 11 12 13 14 13 10 7 4 2 3 4 5 6 7 8 9 10 11 12 12 12 11 12 12 11 9 7 4 3 3 3 4 6 6 7 7 7 7 7 7 6 6 7 7 7 6 4 3 4 5 6 6 5 6 7 8 9 9 9 9 11 12 12 10 9 9 10 11 12 12 11 9 8 8 7 8 8 8 8 8 9 11 12 13 14 14 14 14 14 15 16 16 17 17 17 16 15 14 14 15 15 15 16 16 17 16 14 12 11 11 10 10 9 8 7 7 8 9 11 14 17 18 18 17 15 13 12 10 10 9 9 8 8 8 8 8 9 10 11 12 12 13 13 12 11 10 9 8 8 9 9 10 10 nan
nan 12 13 14 14 13 11 8 5 4 5 7 9 10 11 12 13 14 13 11 9 7 5 4 4 4 4 4 5 6 6 5 4 5 7 9 11 12 12 12 12 13 13 11 8 5 4 4 5 6 8 9 10 11 11 12 12 11 11 11 11 9 6 3 1 1 2 3 5 6 7 8 9 10 10 11 11 10 10 10 10 9 8 6 5 5 6 7 7 6 6 7 8 9 9 9 9 9 10 9 9 8 8 8 8 9 9 8 7 7 7 7 7 7 7 8 8 9 10 11 11 11 11 13 15 18 20 21 21 20 19 18 16 15 14 14 14 13 13 13 14 15 14 13 12 12 12 11 9 7 6 7 8 10 11 12 14 16 17 17 14 12 10 9 9 9 10 10 9 8 8 8 8 9 10 10 10 11 11 12 12 11 10 9 8 8 9 9 10 10 nan
nan 13 13 15 16 15 12 9 5 5 7 9 9 10 11 12 13 14 12 11 9 7 6 5 4 4 5 5 6 6 6 5 5 6 8 10 12 12 11 10 10 11 13 13 12 10 7 6 7 8 9 11 11 11 11 11 11 11 11 11 9 5 2 1 0 1 4 6 7 8 10 10 11 12 14 15 15 15 14 14 13 12 11 10 10 10 10 10 9 8 6 6 8 9 10 10 10 11 11 12 12 11 10 8 7 7 7 6 5 5 6 7 8 8 9 10 10 10 10 10 9 9 10 12 15 19 22 24 24 22 20 17 14 13 12 12 11 10 9 9 11 12 13 14 14 14 13 12 8 5 4 6 8 11 13 15 16 17 16 14 12 9 7 6 6 7 8 9 9 8 8 8 9 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
34 33 30 26 20 16 10 3 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 2 3 3 4 4 4 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 2 0 0 56 193 395 574 636 588 556 549 438 321 400 470 402 335 313 283 232 271 515 929 1421 1820 1972 1774 1075 391 178 127 122 144 197 253 275 264 299 144 106 107 96 62 28 11 6 6 7 20 48 88 138 187 235 279 291 247 250 236 198 141 85 51 44 47 58 55 55 56 70 69 58 50 47 63 59 45 33 14 3 0 2 6 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 5 43 94 102 51 0 0 0 0 1 3 9 20 30 38 42 44 56 67 76 96 129 182 268 389 527 661
34 33 31 27 22 16 11 4 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 2 3 3 4 4 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 0 0 69 240 424 504 455 378 377 329 182 275 387 409 373 337 306 257 199 195 357 612 1004 1431 1668 1493 896 327 157 130 128 152 206 268 298 300 317 202 104 87 81 52 24 10 3 0 0 7 30 61 95 134 177 213 221 207 247 293 281 209 111 56 50 63 89 91 73 65 76 75 56 32 25 37 44 34 19 4 0 1 7 13 14 4 0 0 0 0 0 0 0 0 0 0 0 0 0 8 49 138 222 200 89 38 26 32 27 26 33 54 75 82 79 78 84 101 127 168 219 288 379 487 599 704
33 33 31 26 21 16 11 4 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 2 3 4 4 4 5 5 5 4 4 4 5 5 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 1 1 10 82 280 447 466 398 333 280 197 111 253 330 354 354 350 331 290 234 190 245 354 636 1075 1366 1275 859 431 233 160 146 165 211 279 319 306 273 228 92 70 67 39 15 4 1 0 0 1 14 37 60 85 112 131 145 173 240 321 319 223 120 96 95 82 77 78 71 66 59 38 16 4 4 11 16 16 11 1 0 3 10 14 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 3 24 98 227 280 211 155 128 127 105 73 67 89 115 124 117 116 127 155 202 260 326 399 477 560 646 729
33 32 30 25 20 16 10 4 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 2 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 1 12 63 185 362 486 457 362 268 160 105 141 217 278 305 322 333 343 336 292 229 213 214 368 767 1125 1141 860 527 317 218 186 201 246 314 349 308 233 170 99 62 51 20 5 0 0 0 0 1 7 24 43 55 67 77 95 142 216 282 266 164 110 154 153 105 56 29 24 25 15 4 1 0 0 0 2 3 4 0 0 2 7 11 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 4 37 144 237 265 269 260 229 191 123 97 110 133 144 145 149 167 199 259 336 406 468 532 600 669 736
33 32 29 25 19 15 9 3 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 2 2 3 4 4 5 5 5 5 4 4 4 3 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 3 3 3 2 4 65 191 340 451 468 369 243 152 91 94 141 176 217 243 260 288 314 347 341 291 230 180 238 550 911 995 806 548 368 279 244 258 304 360 369 303 214 141 89 57 42 13 2 0 0 0 0 0 2 13 35 45 40 39 60 119 195 228 174 99 99 197 195 130 59 14 0 0 0 0 0 0 0 0 0 0 1 0 0 0 3 8 9 6 1 0 0 0 0 0 0 0 0 0 0 0 0 1 12 33 113 209 276 309 315 281 225 153 119 125 145 158 164 175 199 241 306 379 444 506 565 620 677 731
32 30 26 23 18 14 8 2 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 2 2 2 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 3 3 3 3 1 28 173 334 450 493 446 328 216 123 63 126 161 170 195 215 224 242 249 292 330 316 244 170 196 410 747 896 772 564 416 342 313 327 368 401 360 267 169 97 58 43 35 12 0 0 0 0 0 0 2 11 33 57 31 16 32 98 173 191 136 89 111 238 259 181 82 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 8 5 5 4 2 0 0 0 0 0 0 0 0 0 3 22 38 90 167 238 287 300 265 210 159 135 140 159 176 187 199 227 275 341 405 468 530 583 630 677 724
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28 24 20 17 13 9 4 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 3 3 4 5 5 5 5 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 8 55 214 436 519 523 477 364 226 132 94 87 299 224 205 204 219 231 205 147 131 162 180 162 139 164 277 469 639 628 536 485 466 467 463 429 345 242 147 82 54 36 18 5 0 0 0 0 0 0 4 17 42 71 75 33 21 13 33 69 96 116 148 196 218 169 98 44 12 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 15 32 45 53 56 51 34 13 7 5 1 0 0 0 0 0 1 5 6 7 24 54 104 149 161 143 122 114 124 151 191 212 221 253 322 376 431 490 543 588 629 669 710
24 21 17 13 8 5 2 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2 2 2 1 2 2 2 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 1 35 154 363 562 628 570 461 318 184 96 71 138 345 216 193 194 218 216 166 103 79 93 107 114 113 142 256 432 565 564 507 483 478 471 415 318 224 157 114 79 59 41 20 5 0 0 0 0 1 3 14 38 69 88 77 43 40 30 25 36 62 101 143 169 161 124 89 69 44 21 6 1 0 0 0 0 0 0 0 0 0 1 6 15 41 71 89 95 85 62 34 17 18 9 1 0 0 0 0 0 0 0 0 0 2 7 24 61 104 126 117 100 97 120 169 193 216 264 331 388 448 503 548 586 621 661 703
21 18 14 10 5 1 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 3 3 4 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 1 1 91 285 561 770 748 640 482 289 155 61 46 164 306 188 165 179 206 175 110 55 36 43 54 64 85 126 225 370 470 478 449 439 426 393 304 207 146 119 105 89 75 67 50 25 6 1 1 2 6 16 31 59 93 105 83 56 54 50 38 35 67 115 147 150 134 120 124 135 112 67 24 4 0 0 0 0 0 0 0 0 0 3 15 41 76 103 113 104 76 43 21 17 20 8 0 0 0 0 0 0 0 0 0 0 0 0 2 15 50 94 118 108 80 86 133 173 216 269 326 382 445 497 541 575 610 652 696
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26 25 22 17 14 11 9 8 5 2 2 2 2 1 1 1 2 2 2 1 2 2 2 2 2 3 4 5 5 6 7 7 7 7 8 8 7 7 7 6 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 2 1 0 0 47 205 489 647 729 750 696 537 322 164 125 83 285 149 113 128 133 115 78 27 5 1 0 4 20 42 58 69 106 183 239 288 322 343 340 300 242 199 190 185 172 159 157 169 185 181 147 116 100 93 78 55 39 40 45 72 75 68 60 54 50 51 81 129 149 140 128 132 153 174 173 151 67 23 6 1 5 30 79 124 116 99 91 73 50 34 29 27 17 14 18 18 17 13 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 30 54 92 132 169 203 241 291 353 421 486 536 576 611 640
36 33 31 27 23 21 20 19 17 13 12 14 13 10 7 4 4 4 5 4 3 3 3 3 3 5 5 5 5 6 7 8 8 8 8 8 8 8 7 6 5 5 5 5 5 6 5 5 6 5 5 5 5 5 5 5 5 4 1 0 5 30 175 418 655 745 741 696 610 461 293 173 111 101 268 145 158 147 104 57 22 4 0 0 0 2 13 28 34 29 35 87 165 242 295 336 342 312 274 243 224 208 195 189 190 194 188 166 132 127 145 159 133 85 46 35 44 68 78 70 59 52 47 46 59 91 120 116 101 98 112 131 140 133 62 26 10 5 18 62 130 181 169 133 119 96 60 29 12 5 1 3 6 8 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 15 46 98 153 200 245 302 371 436 488 524 550 576 604
50 49 45 39 39 38 39 41 42 39 37 36 34 30 26 23 20 18 16 11 6 6 5 5 5 6 6 6 5 6 7 8 8 8 8 8 8 8 7 6 6 6 6 5 6 7 6 6 6 6 5 5 5 5 5 5 4 3 1 4 82 247 459 653 752 745 701 666 627 521 369 228 120 126 259 205 208 132 55 15 2 0 0 0 0 0 0 0 0 1 6 30 95 199 272 325 340 327 306 283 261 238 226 228 233 223 187 138 111 132 192 231 199 132 75 55 68 91 94 72 56 48 44 41 48 71 97 98 81 63 58 74 100 110 77 47 23 17 41 92 148 174 151 112 102 77 42 18 5 1 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 24 76 154 226 275 329 394 451 489 508 523 543 563
73 74 70 66 66 67 68 71 73 71 67 63 60 55 48 42 38 35 32 27 23 20 15 11 7 6 5 6 5 5 6 7 7 7 7 7 8 8 7 6 6 6 6 7 7 8 7 7 6 6 6 5 5 5 5 5 4 2 1 64 333 587 720 776 748 682 646 653 664 615 459 273 123 108 200 231 194 71 18 3 0 0 0 0 0 0 0 0 0 0 1 11 55 159 241 289 307 315 315 308 296 279 268 270 268 240 190 148 147 197 267 313 271 169 98 83 104 126 115 77 48 35 28 26 33 53 80 94 73 43 29 53 82 97 92 71 47 40 65 110 145 151 130 105 90 61 30 9 2 0 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 2 8 28 75 171 275 322 363 414 459 483 489 493 504 520
106 106 106 106 107 108 107 107 108 106 103 100 95 85 71 62 54 49 45 40 35 30 25 18 10 6 5 6 5 5 6 7 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 6 5 5 5 6 5 2 1 2 108 376 627 691 709 671 606 595 655 711 673 502 268 106 40 126 196 118 21 2 0 0 0 0 0 0 0 0 0 0 0 1 10 48 128 198 239 263 289 309 316 320 323 322 313 286 239 192 171 191 256 355 391 272 156 105 113 142 152 121 67 28 14 10 9 13 28 52 70 53 24 16 32 50 66 75 70 59 55 73 100 120 126 119 108 92 66 37 14 11 7 5 10 18 21 13 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 24 49 99 206 333 379 404 434 459 469 468 464 470 482
140 142 146 151 155 157 155 150 146 147 149 149 141 126 109 96 81 64 52 45 40 33 26 19 10 5 4 4 4 4 5 6 5 5 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 6 6 6 5 1 1 6 138 397 603 600 622 597 543 556 647 721 675 482 224 78 29 130 122 41 5 0 0 0 0 0 0 0 0 0 0 0 0 1 6 42 105 160 192 220 266 314 340 356 375 383 360 307 244 208 222 295 382 412 376 220 131 117 146 173 165 117 56 17 24 54 48 18 9 27 48 46 36 29 20 21 26 34 39 39 42 54 66 81 103 116 111 95 78 53 50 46 26 22 37 53 53 33 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 34 62 93 151 251 375 426 444 455 458 452 441 433 435 450
163 167 179 194 198 202 203 200 199 204 204 195 183 168 145 122 106 78 49 39 34 28 22 17 10 5 4 3 3 4 4 5 5 5 6 7 7 7 7 7 8 8 7 7 8 8 8 9 9 9 8 7 7 7 6 5 5 20 56 253 529 663 642 639 582 522 545 644 700 621 415 182 47 15 77 40 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 43 114 158 161 186 237 301 349 395 438 450 414 346 272 231 233 273 335 350 289 185 131 146 183 198 174 119 57 19 32 79 59 20 8 21 38 49 49 36 19 11 7 7 9 11 17 31 49 68 102 124 117 100 87 64 93 62 31 35 62 89 93 67 25 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14 64 114 154 214 298 404 453 463 460 450 434 418 406 403 410
152 166 189 208 208 219 223 226 229 230 224 214 198 180 153 131 113 87 50 35 26 22 19 15 10 7 4 3 4 4 4 5 4 5 6 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 6 11 43 124 232 455 655 713 705 672 575 495 499 570 610 532 349 160 52 19 18 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 28 119 157 145 168 213 280 359 449 507 505 450 376 309 268 230 210 223 238 216 172 156 182 215 213 179 123 62 20 17 45 48 46 49 58 69 72 63 40 19 7 2 1 0 1 4 16 39 57 69 77 85 85 73 52 60 38 23 31 61 97 115 96 45 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 30 112 184 223 262 323 407 456 466 456 439 417 394 377 371 375
117 138 155 165 177 195 191 193 199 204 203 193 176 157 128 109 98 80 57 42 29 19 15 11 7 5 4 3 4 5 4 5 5 6 6 7 7 8 8 8 8 8 7 7 8 9 9 9 9 9 9 9 8 7 5 25 130 299 440 586 676 671 656 625 546 447 400 461 550 504 345 179 80 52 57 27 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 60 86 104 142 194 268 353 423 465 467 434 396 378 370 281 209 192 200 196 184 187 210 229 215 177 128 77 42 35 54 83 108 108 103 97 84 62 35 16 7 3 1 0 0 1 6 16 27 27 32 41 48 45 34 29 27 22 24 46 81 102 89 44 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 71 193 276 304 316 347 399 435 438 427 410 390 368 347 331 325
78 94 101 109 125 137 133 131 138 146 150 144 132 124 122 111 86 73 58 45 30 16 9 7 5 4 4 4 4 4 4 5 6 7 7 8 8 8 8 8 8 8 7 7 9 9 9 9 9 9 9 8 8 6 13 65 231 381 453 512 557 505 516 555 526 433 375 449 587 538 381 216 123 100 98 67 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 26 54 99 160 231 297 354 417 455 471 492 518 510 400 298 234 234 229 219 220 230 234 215 181 152 131 113 102 109 129 142 109 87 73 57 38 21 12 6 2 0 0 0 0 1 2 4 4 5 6 11 17 22 28 33 25 16 29 54 64 47 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 20 135 263 350 376 368 368 389 412 410 394 379 364 346 326 308 300
43 53 61 67 73 82 86 86 88 91 99 103 100 97 97 95 75 74 61 48 37 27 16 9 6 4 4 4 4 4 4 5 7 8 9 9 9 8 9 9 8 7 7 7 8 9 9 9 9 9 10 9 9 10 36 136 278 332 343 380 427 415 437 538 540 442 382 450 548 491 377 218 156 159 155 102 21 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 24 54 117 197 263 318 424 530 587 603 596 547 456 397 320 304 276 255 252 258 253 231 202 187 181 171 161 162 167 148 95 65 48 39 34 29 23 16 8 4 2 0 0 0 0 0 0 0 0 45 57 45 42 45 30 8 10 20 19 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 63 203 338 423 447 426 393 376 379 374 355 337 322 304 280 258 246
20 24 27 33 41 50 56 59 62 68 73 78 85 88 83 75 73 78 66 53 43 33 22 13 7 5 5 5 4 4 5 7 8 10 10 9 8 8 9 9 8 7 7 7 9 9 9 9 9 10 11 11 9 15 52 155 227 226 241 294 348 373 415 520 524 425 358 382 433 405 335 206 187 215 206 130 38 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 8 20 68 151 244 336 442 563 595 566 520 481 448 410 371 326 278 263 275 284 272 246 226 216 209 190 190 196 186 152 107 77 58 54 57 60 57 49 39 28 21 13 6 1 0 0 0 0 0 11 19 27 38 42 25 2 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 64 212 385 502 545 525 471 419 385 360 327 299 278 256 232 216 215
20 18 15 17 21 30 38 40 41 45 50 55 61 65 67 70 70 68 61 49 37 27 22 17 12 8 7 6 5 5 6 8 9 10 9 9 8 9 9 9 8 7 7 7 9 10 9 9 10 11 12 11 8 17 55 124 156 134 172 240 277 301 354 431 430 347 297 302 341 347 304 230 243 285 263 162 59 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 5 8 31 80 158 261 368 454 524 485 433 417 437 453 419 345 264 263 289 287 258 231 225 218 202 190 200 202 181 143 108 86 71 73 82 94 105 110 105 96 86 64 43 22 7 1 0 0 3 4 4 13 27 29 14 0 0 0 9 20 21 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 41 171 356 513 598 601 548 481 423 375 324 290 260 227 195 178 179
29 27 23 19 19 27 34 33 36 37 39 41 45 50 52 52 52 51 48 42 36 28 24 21 18 16 14 10 6 6 7 8 9 9 9 9 8 9 9 9 8 7 7 7 8 10 9 9 10 10 11 10 8 13 42 79 90 74 135 213 251 288 317 321 289 251 298 346 340 329 307 282 314 345 315 195 82 22 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 11 36 80 138 214 295 365 363 365 419 459 459 402 304 238 255 285 269 233 216 229 239 187 187 197 184 149 109 84 79 85 97 111 126 144 158 168 178 169 137 114 67 26 5 0 0 2 3 2 9 20 19 6 0 0 1 56 117 158 136 69 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 26 133 313 499 632 689 678 624 549 466 387 346 314 270 224 187 161
29 30 25 22 23 30 38 41 46 47 46 46 48 50 50 46 44 43 40 37 33 28 24 22 21 20 19 14 6 6 7 8 9 9 8 9 9 9 9 8 7 7 7 7 8 9 9 9 10 10 10 9 6 9 28 43 47 57 114 182 247 275 249 201 170 206 356 498 423 347 302 304 339 337 324 200 97 41 17 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 18 57 93 132 182 232 277 319 393 431 417 348 263 226 245 268 251 231 234 239 217 162 156 166 148 112 79 65 74 97 120 138 154 168 179 192 206 207 177 159 86 31 6 0 0 0 0 0 5 14 10 1 0 0 4 117 162 172 126 57 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 22 106 268 457 600 694 742 747 709 630 536 475 438 394 345 297 248
22 25 21 21 25 31 38 46 52 55 55 53 51 48 47 45 43 40 37 34 31 28 24 22 21 21 19 12 7 7 7 8 8 8 8 9 9 9 9 8 7 7 7 6 7 8 8 9 10 10 9 8 5 8 23 26 30 53 95 138 192 181 126 78 72 152 318 469 389 289 225 242 274 275 276 187 103 56 29 13 3 0 0 0 0 0 0 0 2 5 5 2 0 0 1 2 4 8 25 78 147 182 201 240 299 339 393 406 403 374 317 263 247 254 233 213 205 188 163 145 134 135 119 99 89 93 101 110 120 139 154 181 207 197 193 202 177 163 72 19 2 0 0 0 0 0 2 6 3 0 0 0 14 122 146 144 98 36 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14 70 197 380 512 613 705 781 818 799 730 649 604 560 509 464 420
14 18 21 26 29 30 35 41 48 53 53 51 48 43 41 40 39 36 33 30 28 25 23 22 21 21 17 11 8 8 8 8 8 7 8 9 9 9 9 8 6 6 6 6 7 8 8 9 9 9 9 7 6 10 23 15 25 56 92 109 92 70 37 14 10 64 180 285 246 168 134 178 224 236 224 176 107 68 42 19 5 0 0 0 0 0 0 0 11 30 41 36 26 40 42 30 21 28 60 133 218 257 281 309 347 387 450 479 465 435 386 331 293 276 236 183 136 118 120 131 143 146 140 144 157 161 144 112 86 90 117 169 212 187 180 188 167 145 59 11 1 0 0 0 0 0 0 1 0 0 0 0 17 84 113 93 50 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 27 95 225 346 456 590 723 824 871 861 813 775 735 680 640 642
8 11 15 21 24 27 30 34 39 44 46 44 41 37 35 33 30 29 27 26 24 21 19 17 15 14 12 9 8 8 8 8 7 7 8 9 9 9 8 8 7 7 7 7 8 8 8 8 9 9 8 6 6 11 18 9 27 56 85 82 50 19 5 1 0 20 65 100 87 62 72 152 227 212 158 125 105 82 55 27 8 0 0 0 0 0 0 0 27 67 110 159 189 185 153 117 100 102 135 215 307 362 372 385 402 429 470 501 496 478 455 416 376 334 261 170 102 91 106 132 152 157 158 169 192 198 170 121 82 70 79 117 157 152 159 162 145 115 48 4 0 0 0 0 0 0 0 0 0 0 0 0 12 47 76 55 18 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 17 61 110 187 326 488 627 715 750 755 760 771 775 792 854
7 7 8 12 17 22 26 28 30 31 33 33 31 28 25 21 19 19 19 20 19 17 15 13 10 9 9 8 8 8 8 8 7 7 8 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 7 6 7 15 22 22 36 48 61 44 19 5 0 0 0 0 0 0 6 12 31 110 183 170 117 78 68 62 50 30 11 3 1 0 0 0 0 0 43 99 170 257 328 323 273 255 251 234 231 274 336 408 452 446 442 475 540 600 603 538 467 420 381 329 252 171 121 101 100 109 119 131 139 143 149 163 173 178 179 168 135 93 80 98 123 126 110 80 34 0 0 0 0 0 0 0 0 0 0 0 0 0 6 22 34 23 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 33 73 160 265 348 394 420 448 493 547 617 686
6 6 6 8 13 19 24 27 28 28 26 24 21 15 8 9 10 11 11 11 12 13 12 10 9 8 8 8 8 9 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 11 23 31 36 43 34 36 16 4 0 0 0 0 0 0 0 0 1 10 53 124 127 94 55 31 27 28 23 12 9 4 1 0 0 1 7 63 128 213 322 412 433 400 396 406 414 436 474 507 454 593 527 464 474 560 661 695 607 442 335 286 256 224 187 153 121 92 74 67 68 73 71 68 91 155 225 261 245 182 99 41 52 83 89 72 47 19 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 17 14 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 17 43 70 89 102 118 142 169 181 147
6 6 6 7 10 16 20 22 24 25 23 20 15 11 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 8 7 7 7 7 7 7 7 7 6 6 7 7 6 6 7 6 6 6 5 5 6 11 20 32 33 37 33 15 9 5 1 0 0 0 0 0 0 0 0 0 3 29 89 108 68 36 18 10 10 10 12 18 12 3 0 3 18 56 114 180 246 358 495 582 580 555 586 692 792 822 793 737 619 537 436 397 428 487 515 467 357 276 267 256 237 205 169 145 104 74 64 65 69 64 53 60 122 212 249 232 187 131 74 52 64 63 47 27 11 1 0 0 0 0 0 0 0 0 0 0 0 0 2 7 13 14 0 0 0 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 17 16 9
6 7 7 7 7 8 11 14 16 17 17 15 11 9 7 7 7 7 7 7 6 6 6 6 7 8 9 8 8 7 7 7 7 6 6 6 6 6 6 5 6 7 6 6 6 6 6 5 3 5 11 17 22 26 24 17 11 3 2 4 2 0 0 0 0 0 0 0 0 0 2 16 53 90 57 23 14 10 7 9 17 30 27 14 9 43 100 165 227 289 337 426 569 704 767 773 800 954 1045 1020 922 788 606 488 383 339 305 270 269 295 312 323 363 343 280 208 162 148 120 99 98 107 116 113 97 81 93 161 202 195 176 158 129 104 91 73 48 27 16 11 8 0 0 0 0 0 0 0 0 0 0 0 1 2 4 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 1
7 7 7 7 6 6 6 5 6 6 8 9 8 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 6 6 6 6 5 6 6 6 6 6 5 5 2 1 6 12 13 9 7 6 3 1 2 4 3 1 0 0 0 0 0 0 0 0 0 1 6 45 85 68 32 22 23 23 24 32 42 41 42 97 173 240 296 348 395 437 499 582 665 729 772 840 994 1074 948 721 546 471 407 313 257 221 168 162 211 286 371 438 394 288 183 137 144 157 170 180 178 180 176 155 118 85 98 126 136 145 153 156 151 135 103 64 43 32 28 20 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 0 0 0 0 0 0 0 3
7 7 7 7 7 7 6 6 6 7 7 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 7 5 5 5 4 4 4 4 4 5 6 6 6 6 6 6 6 5 4 3 2 1 0 5 8 4 0 0 0 0 0 4 4 1 0 0 0 0 0 0 0 0 0 0 0 2 65 110 99 61 37 41 47 46 48 51 56 84 156 214 273 330 380 427 482 561 627 622 585 585 669 826 920 739 581 504 453 378 280 200 162 139 135 155 205 275 320 300 217 133 120 171 234 265 245 193 184 201 204 170 112 76 77 93 109 123 135 140 130 103 68 50 45 37 24 8 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 4
7 7 7 7 8 8 7 7 7 7 6 6 6 6 6 5 5 6 5 5 4 4 5 5 5 5 5 4 3 3 3 3 3 3 3 4 5 5 5 6 6 6 5 4 2 1 1 0 0 2 3 1 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 79 136 137 102 74 69 71 68 69 72 84 118 174 199 262 334 390 436 503 619 763 776 606 455 439 551 679 693 630 557 476 386 291 219 195 182 154 128 119 136 171 173 134 95 125 217 311 342 303 258 192 186 197 190 153 107 91 101 112 113 105 92 78 62 47 36 38 30 25 26 18 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 2 1 2 2 3 7 13 17 18
7 7 7 7 7 7 7 6 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 3 2 2 2 2 2 3 3 3 3 3 3 3 4 5 4 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 0 0 0 0 2 60 118 135 125 113 115 121 116 114 114 126 139 155 188 306 413 465 477 503 590 732 815 696 437 324 373 509 621 638 618 608 499 340 235 219 190 140 93 70 68 86 109 109 115 167 268 362 382 314 210 201 212 225 214 189 161 146 154 160 140 104 68 40 24 21 15 19 17 24 42 49 20 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 6 9 21 40 69 102 119 77
7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 2 1 1 1 1 2 2 2 2 2 1 1 1 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 4 26 69 107 135 166 210 258 283 260 196 188 187 202 272 400 510 542 507 461 468 537 599 551 376 264 258 355 507 612 627 595 481 327 230 199 156 121 103 74 50 62 103 131 158 211 312 400 402 340 280 258 243 224 212 201 190 184 190 190 158 112 72 40 20 12 7 5 9 21 39 43 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 10 28 52 79 109 135 144
7 7 7 6 6 5 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 4 3 2 1 0 0 0 1 1 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 1 7 30 88 152 222 307 394 446 410 268 210 176 180 242 360 488 536 479 396 352 356 364 323 329 202 153 225 343 429 463 481 457 364 288 258 253 265 273 215 157 130 134 151 181 235 323 387 379 328 272 226 198 188 192 192 186 178 170 158 133 101 76 56 40 30 19 11 11 17 21 17 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 36 51 48 51 168
6 7 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 4 3 2 1 0 0 0 0 0 4 11 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 4 25 86 162 227 303 379 409 354 221 161 134 126 145 215 325 417 402 301 218 177 156 172 230 124 65 120 230 329 391 425 425 376 371 421 469 487 474 416 328 248 191 169 186 238 303 330 320 281 236 196 167 163 165 160 151 140 126 110 93 77 68 61 59 55 45 33 19 15 10 3 0 0 0 0 1 3 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 1 7 10 23 83 103 58 32 159
6 6 6 5 5 5 5 5 5 5 6 6 5 5 6 6 5 5 5 5 5 5 3 2 1 1 0 0 0 2 15 46 101 157 119 57 21 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 3 23 75 144 191 242 284 281 225 151 117 99 97 98 116 161 225 262 210 123 95 116 154 167 85 30 46 132 251 366 453 496 500 534 556 581 580 544 474 401 317 237 188 185 219 264 281 278 258 232 209 192 181 171 152 131 114 100 88 75 65 60 62 64 63 55 41 20 11 7 2 0 0 0 0 1 5 5 7 7 4 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 0 0 1 8 18 27 137 172 99 48 155
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