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 6 6 7 7 7 7 6 6 6 6 7 7 7 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 7 7 7 7 7 7 7 7 6 6 7 7 7 7 6 7 7 7 7 7 8 10 12 14 17 18 15 12 10 9 7 5 4 4 6 9 11 12 13 14 16 16 16 16 17 20 22 19 12 5 -3 -7 -7 -4 -1 1 2 3 3 3 2 1 0 -1 -0 3 7 9 8 5 2 0 2 7 9 9 9 11 11 9 8 11 14 13 9 7 7 7 7 6 5 6 9 10 8 7 8 9 9 7 7 7 8 7 6 4 3 3 4 4 4 6 9 11 9 5 3 4 5 6 7 9 10 8 5 3 3 3 5 5 4 4 3 3 4 6 8 7 5 2 1 2 6 9 10 12 13 15 15 14 nan
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nan 17 17 15 13 12 12 12 13 17 21 23 21 17 13 10 8 5 4 4 6 9 11 11 9 8 5 3 2 4 7 9 9 8 7 7 7 7 7 6 5 6 8 10 12 12 10 8 8 7 5 5 7 8 8 7 6 5 5 6 6 6 7 9 11 15 18 19 16 14 14 14 11 7 2 1 4 8 10 10 10 10 9 9 8 8 10 13 14 13 11 11 12 13 12 10 7 8 11 14 12 8 3 0 2 6 8 9 9 9 9 11 15 19 21 20 17 16 16 17 19 21 22 19 13 3 -0 1 5 8 9 10 11 12 14 15 15 13 10 7 6 7 10 13 14 11 6 2 -1 -2 1 6 10 13 14 15 16 17 16 13 10 6 3 2 2 3 4 5 6 6 7 7 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 nan
nan 14 14 12 11 10 10 11 13 17 22 22 17 13 10 8 7 6 6 6 8 10 10 10 9 8 6 5 5 5 6 8 10 11 11 11 10 8 6 5 6 8 11 14 16 16 13 8 6 6 7 9 11 10 8 5 4 5 6 7 7 6 7 9 11 15 18 18 16 13 14 15 14 11 7 4 5 6 7 8 10 11 11 10 8 8 10 13 14 13 12 12 12 11 9 7 7 11 15 16 14 8 3 0 2 7 10 10 9 7 6 8 13 18 20 16 10 8 10 13 18 21 20 15 6 -1 1 10 16 16 11 5 0 0 3 8 13 17 17 14 11 9 7 8 9 9 6 2 -0 -1 1 5 9 12 14 13 10 10 9 9 7 3 1 1 3 4 5 6 6 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 nan
nan 12 13 12 12 11 10 12 15 19 21 19 13 10 8 6 5 6 6 7 9 10 10 10 9 7 6 7 9 11 11 9 9 10 12 13 12 8 5 5 7 9 12 14 15 15 13 9 7 7 10 12 13 13 9 5 3 3 3 4 5 6 8 10 12 13 16 17 15 13 13 15 14 12 9 7 5 4 5 7 11 14 14 11 8 8 10 12 13 13 12 13 13 12 10 10 12 15 16 15 11 6 1 -1 1 6 11 12 11 8 6 7 12 17 18 11 3 -1 -0 3 9 15 19 17 11 6 9 19 24 21 12 3 -4 -5 -2 2 6 10 12 11 8 5 4 4 5 7 6 4 2 1 2 5 10 15 16 13 9 7 7 7 6 4 3 3 4 5 6 6 7 7 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 nan
nan 13 14 13 12 12 12 13 17 19 20 15 11 8 7 5 3 4 6 8 10 10 9 8 7 7 7 8 11 13 14 13 10 10 11 12 11 8 6 7 9 10 11 11 11 11 9 7 5 6 9 12 13 13 9 6 5 3 2 2 4 7 10 11 12 11 12 13 13 13 14 14 13 10 7 6 5 6 7 10 14 16 16 13 9 8 9 11 13 14 15 15 15 14 12 11 13 15 15 12 9 4 1 -1 0 5 11 13 12 10 8 9 14 20 20 12 3 -3 -5 -4 0 7 15 20 18 15 15 20 23 22 15 9 4 3 3 3 3 4 5 5 3 2 2 4 6 8 8 7 4 2 1 4 11 17 18 15 10 8 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 14 14 12 10 10 11 14 18 19 17 13 10 7 5 3 2 3 7 10 11 9 8 6 6 6 6 7 8 10 13 13 12 10 10 10 10 9 9 9 11 11 10 9 7 5 4 3 3 5 7 8 10 10 10 8 6 5 4 6 8 10 12 13 12 10 9 10 12 13 14 14 12 9 7 6 7 8 9 11 15 18 18 16 11 8 8 10 13 16 17 17 17 15 12 10 10 12 13 12 9 5 1 -1 1 5 9 12 13 12 11 12 16 22 21 15 7 1 -2 -4 -3 1 8 17 20 18 15 12 12 14 16 17 17 16 13 10 7 6 5 5 6 6 6 6 8 9 9 7 5 3 2 4 11 16 16 13 10 8 8 9 9 10 9 9 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 nan
nan 14 12 9 7 8 10 14 17 19 16 12 9 6 3 2 3 5 9 12 11 10 8 6 5 4 4 3 4 7 11 12 12 11 10 11 12 13 12 12 13 13 11 8 5 1 1 3 5 7 8 7 7 9 10 10 8 5 6 8 10 11 12 12 11 10 10 10 12 14 14 14 12 10 8 8 9 8 7 9 13 17 20 19 14 9 8 9 12 16 18 19 18 16 13 12 12 12 13 13 11 8 4 2 2 5 8 10 12 14 14 14 16 18 16 12 9 6 3 0 -1 -0 3 9 14 14 10 5 0 2 10 17 21 22 21 18 14 12 11 11 13 13 11 9 8 8 9 8 7 6 4 5 9 11 10 9 7 7 9 10 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 nan
nan 12 8 5 5 6 9 13 16 17 15 11 8 4 2 3 5 9 11 12 11 10 8 7 5 3 2 1 2 6 10 11 11 10 11 12 14 15 15 15 14 14 11 8 5 2 2 3 6 8 10 10 10 10 10 11 10 9 9 10 10 10 9 10 11 12 13 13 14 15 15 15 13 12 10 11 11 10 9 9 11 16 19 19 16 11 8 9 11 14 16 18 18 17 16 17 16 15 14 13 13 12 9 6 4 3 4 6 10 14 15 15 15 12 9 7 7 8 7 5 3 2 2 3 6 7 5 1 -4 -4 1 9 14 19 22 21 18 15 14 13 14 15 15 13 11 10 9 9 8 8 6 5 6 7 6 5 6 7 9 10 11 11 11 10 9 9 8 8 8 8 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 nan
nan 9 6 5 5 7 10 13 15 15 12 8 5 3 3 5 8 11 12 11 10 10 9 7 5 3 1 1 3 6 8 8 8 8 10 12 14 16 17 16 15 14 12 10 8 5 2 1 3 7 9 11 11 9 9 9 9 10 12 13 13 12 10 10 12 14 15 16 16 17 16 15 14 12 11 11 13 13 12 11 11 12 14 15 15 13 11 11 11 12 13 15 17 17 16 16 16 14 12 12 12 13 12 8 2 -1 -1 1 6 12 15 15 15 11 7 6 7 9 11 10 8 6 4 3 3 3 3 1 -2 -3 -2 0 4 10 15 17 16 13 10 8 7 10 16 18 16 13 10 10 11 10 8 6 6 6 5 5 6 7 9 10 10 10 10 10 9 9 8 8 8 9 10 10 10 9 9 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 nan
nan 7 6 6 7 9 11 13 14 13 10 6 3 3 5 8 11 12 11 10 9 9 10 9 7 5 3 4 6 7 6 6 6 6 8 11 13 15 16 16 16 15 15 14 13 10 5 1 2 5 8 10 9 8 7 7 8 9 11 12 13 13 13 13 14 14 15 16 17 16 16 14 12 11 10 10 12 12 12 10 8 7 8 10 12 14 15 14 13 12 12 12 14 14 12 11 11 10 8 7 8 9 10 7 2 -2 -3 -1 3 9 13 14 14 13 10 9 10 13 14 15 12 10 8 6 5 5 5 5 3 2 -0 -2 -1 3 6 7 6 5 2 -1 -2 1 10 16 17 15 12 11 12 12 10 9 8 9 8 7 7 8 9 10 10 10 10 10 9 9 8 8 9 10 11 11 10 10 9 8 8 9 9 9 9 10 10 10 10 10 10 10 10 9 nan
nan 6 6 7 8 9 11 13 14 13 10 6 4 4 7 10 11 11 10 9 9 9 9 9 9 8 7 7 8 9 8 7 7 7 8 9 11 13 16 17 17 17 17 18 18 16 12 9 8 9 10 11 10 9 9 8 8 8 8 8 8 10 12 14 14 13 13 14 15 15 14 13 11 9 9 9 9 9 9 7 4 2 2 6 11 15 18 19 17 14 12 11 11 10 8 6 6 5 4 2 2 3 5 5 4 1 0 1 3 7 10 10 10 10 10 11 14 16 16 17 15 13 12 11 10 9 10 11 10 8 5 2 1 2 2 1 -1 -2 -3 -4 -5 -4 1 8 13 15 15 13 13 13 12 12 12 12 10 8 6 7 9 10 10 10 10 9 9 9 8 9 10 11 11 11 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 nan
nan 6 5 6 7 8 10 13 14 14 12 8 6 7 9 10 10 9 9 9 8 7 7 6 7 8 8 9 9 9 9 9 10 10 9 8 9 11 14 17 17 17 17 18 18 19 18 17 15 14 13 13 12 12 11 11 10 8 7 5 5 6 9 12 13 12 11 12 13 13 12 11 10 8 7 7 7 7 7 5 2 0 0 5 11 17 22 24 22 17 13 11 10 8 6 4 3 3 3 3 3 5 8 9 8 6 4 4 5 7 8 6 5 4 5 8 12 14 16 17 17 16 15 15 15 15 16 16 15 12 11 9 7 6 5 4 3 1 -1 -2 -2 -2 0 5 11 15 17 17 16 15 15 15 15 14 10 6 5 6 8 10 11 10 9 9 9 9 9 9 10 10 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 nan
nan 5 4 5 6 7 10 13 15 15 12 9 9 9 9 8 8 8 10 10 8 6 4 3 3 4 7 9 9 9 9 10 12 11 10 9 8 10 12 15 16 16 15 15 15 17 19 19 18 16 15 13 13 13 13 12 10 8 7 6 7 8 10 12 11 10 8 9 10 11 10 9 8 7 5 5 5 5 6 6 4 3 3 6 13 20 24 27 25 20 15 13 11 9 7 6 6 7 9 10 11 14 16 16 15 11 8 6 7 8 8 5 3 1 1 3 7 12 16 18 18 17 15 16 17 18 20 20 17 16 15 14 13 11 11 11 10 7 3 2 4 6 8 9 10 13 16 18 18 16 16 16 16 14 10 5 4 6 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 9 nan
nan 3 2 3 5 7 10 13 14 14 12 11 10 9 8 6 7 9 11 11 8 6 4 3 4 6 9 11 12 11 11 11 12 12 11 9 8 9 11 12 13 13 12 12 13 15 17 17 16 14 13 11 12 12 13 11 10 9 8 9 11 12 14 13 11 8 6 6 8 9 9 8 7 7 6 4 4 4 6 7 7 7 7 9 14 20 24 24 23 19 16 14 12 11 9 9 11 14 16 16 16 17 18 17 14 10 6 5 6 9 11 10 8 6 5 6 9 14 18 20 18 15 12 12 12 14 16 18 19 19 18 16 14 12 12 11 10 8 6 7 10 14 15 13 10 9 12 15 15 15 15 17 16 13 8 4 5 7 9 10 9 8 8 9 10 10 10 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 nan
nan 1 -0 2 5 8 11 13 14 14 12 11 10 9 7 6 6 9 11 11 9 7 5 6 8 12 15 16 15 14 13 12 12 13 12 11 10 10 10 10 9 9 8 9 11 12 14 14 13 12 10 9 9 9 10 10 9 9 10 11 13 14 15 15 11 8 5 5 6 7 8 8 7 8 8 7 6 5 5 7 8 9 10 11 15 19 21 20 18 16 14 13 11 10 9 9 11 16 19 20 17 16 15 13 9 6 2 1 3 7 12 15 15 15 16 17 18 19 19 17 14 11 8 7 6 7 8 12 16 18 18 16 13 11 10 8 8 9 11 14 16 18 18 16 11 7 7 9 10 10 12 15 14 10 5 3 5 7 8 9 9 8 9 9 10 9 9 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 nan
nan 1 0 4 8 11 13 14 14 13 12 11 9 7 6 6 6 8 9 9 8 7 8 10 13 16 18 18 16 15 13 12 11 11 12 12 11 11 10 9 7 6 5 6 9 10 10 10 10 10 10 9 8 8 7 7 8 9 11 12 13 13 14 14 12 9 6 4 4 6 7 8 8 9 9 9 8 6 5 6 8 11 12 13 15 18 19 17 14 12 11 10 9 8 7 7 8 12 17 20 19 16 14 12 8 4 1 -1 2 7 11 15 18 20 21 22 22 20 13 8 7 6 6 5 4 4 5 8 13 17 18 17 14 12 10 8 10 14 19 21 20 19 19 18 14 8 4 3 4 5 7 11 10 7 4 4 5 6 7 8 9 9 9 9 8 8 8 7 7 7 7 7 8 9 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 3 4 8 12 14 15 14 13 12 11 10 9 7 5 5 6 7 8 7 6 7 9 11 14 16 16 15 14 14 13 11 10 8 9 9 9 8 8 7 6 5 5 5 7 8 8 7 7 8 10 11 10 9 7 7 8 11 13 14 13 11 11 12 13 11 7 5 4 4 7 8 9 9 9 9 8 6 5 6 9 12 13 14 15 16 17 17 14 11 9 7 6 6 7 7 8 8 10 13 14 14 13 12 9 5 1 -0 2 6 10 13 15 16 17 18 18 14 7 1 1 2 4 4 5 4 5 8 11 15 18 17 16 14 12 11 13 17 21 22 20 17 16 16 14 9 5 4 4 5 6 8 7 6 6 5 6 6 7 8 9 9 9 8 7 7 7 6 6 6 6 6 7 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 8 11 13 13 13 12 12 12 12 12 10 8 6 5 5 6 6 5 5 6 8 10 12 13 13 12 13 14 13 11 9 6 5 5 5 5 5 5 6 7 7 7 7 6 6 6 6 6 7 9 10 11 10 11 12 13 14 14 12 9 8 10 12 12 9 6 4 4 5 7 8 8 8 8 7 7 6 8 11 13 14 13 14 15 16 16 15 12 9 7 7 8 10 12 11 8 5 6 8 10 11 11 9 5 2 1 3 6 9 10 11 11 10 11 12 11 6 0 -2 0 2 4 5 6 8 10 12 15 16 16 15 14 12 12 12 14 15 15 14 12 11 11 10 9 9 9 10 10 9 8 8 10 10 9 8 8 8 9 9 9 8 7 7 6 6 6 6 5 5 6 7 8 8 9 9 8 7 7 6 7 7 7 7 7 7 7 7 7 nan
nan 12 12 12 11 11 11 11 13 14 15 14 13 11 8 6 5 5 5 4 4 6 7 8 10 11 10 11 12 13 14 12 10 7 5 5 4 3 3 4 6 8 9 9 8 7 5 5 5 5 5 5 7 11 14 16 16 15 15 13 11 8 8 10 11 11 9 7 5 5 6 7 7 8 8 8 8 8 8 10 13 14 13 12 12 13 14 15 14 12 10 9 10 14 18 19 16 10 6 8 10 12 11 10 8 6 5 5 6 8 9 9 8 8 8 9 11 11 7 2 -1 0 3 5 7 9 11 13 14 15 15 14 13 12 11 10 9 8 8 8 8 9 8 7 7 8 11 12 12 11 9 8 11 14 15 13 11 10 10 10 9 8 7 7 6 6 6 6 5 5 5 5 6 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 7 nan
nan 13 13 11 10 10 10 12 15 17 17 15 14 12 11 10 8 7 6 5 4 5 7 9 9 10 9 9 10 11 11 11 10 9 9 9 8 7 6 6 7 9 11 12 11 8 6 4 5 6 6 6 7 11 16 18 18 17 14 12 10 9 8 10 11 10 9 8 7 6 7 8 8 8 8 8 8 9 10 12 13 13 12 11 10 11 12 13 13 12 10 11 15 21 27 27 20 13 11 15 17 16 14 12 10 9 9 9 10 11 10 8 7 7 8 10 10 9 6 3 2 3 5 7 9 11 14 16 16 15 14 13 12 12 11 10 8 7 6 6 7 8 8 7 7 7 9 10 10 8 7 9 14 17 17 15 12 11 10 9 8 7 6 6 5 5 5 5 5 5 5 5 6 7 7 7 8 8 8 7 7 7 7 7 7 8 8 8 9 9 nan
nan 11 10 10 10 10 11 13 15 17 17 15 14 13 13 13 12 10 8 6 5 6 7 9 10 9 9 8 8 9 9 9 9 10 12 13 13 12 10 9 9 10 11 13 13 11 7 5 5 8 10 12 14 15 17 18 18 16 14 12 9 8 8 8 10 11 11 10 9 7 8 8 9 8 8 8 8 8 9 11 12 12 11 11 11 11 12 12 12 11 10 12 18 25 32 31 21 15 14 15 17 16 15 15 15 15 14 12 12 12 11 9 8 7 8 7 6 4 4 4 6 7 7 8 10 12 14 15 15 14 14 13 13 13 13 12 12 11 11 10 9 9 9 9 9 10 11 11 9 7 8 13 18 20 19 15 11 8 8 7 7 6 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 nan
nan 9 7 8 9 10 11 12 14 15 15 13 12 13 12 12 11 11 11 9 7 7 7 8 8 8 7 8 9 9 9 8 8 9 11 14 15 14 13 11 9 9 10 13 15 13 10 8 7 10 13 16 18 18 17 16 15 15 14 12 9 7 6 6 8 11 13 13 12 9 7 7 7 7 7 8 7 7 7 8 10 11 12 12 12 11 11 11 11 10 9 11 16 23 28 27 18 12 10 10 11 13 14 16 18 19 18 15 12 11 11 10 8 6 5 3 1 1 4 8 11 12 10 9 9 9 9 10 11 12 13 14 15 15 15 14 14 14 13 11 10 10 11 11 12 13 13 12 9 9 14 19 24 25 21 15 10 6 5 5 6 6 5 5 5 4 5 5 5 5 5 5 6 6 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 nan
nan 9 7 6 6 8 9 11 13 13 13 12 11 11 11 10 10 11 11 10 9 8 7 6 6 5 5 7 10 10 9 8 8 8 9 12 14 14 12 10 8 7 8 11 15 16 14 12 10 10 12 15 17 16 15 13 13 13 13 12 9 7 6 6 7 9 12 14 13 11 7 5 5 5 6 7 7 7 7 8 10 12 14 14 13 12 11 11 10 9 8 10 15 18 20 20 16 11 9 7 8 10 12 14 17 19 19 16 12 10 10 11 11 9 6 4 3 5 9 14 17 15 11 7 6 5 5 5 7 9 11 13 15 16 16 15 15 14 13 12 11 11 13 14 14 14 13 10 8 11 18 23 27 27 22 15 9 5 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 8 8 8 8 9 9 9 9 10 10 10 10 11 11 nan
nan 10 8 6 5 5 7 9 11 12 11 10 9 9 10 9 9 10 10 10 10 10 8 6 4 3 5 7 9 9 9 8 7 8 9 11 13 13 11 9 6 5 6 9 14 17 17 14 11 9 9 10 12 11 10 9 9 9 10 10 9 8 8 8 9 9 11 12 13 11 8 5 4 4 6 7 8 8 8 10 13 15 17 16 14 12 10 10 9 8 9 11 14 15 15 16 17 16 12 9 7 8 10 13 15 17 18 15 12 11 11 13 15 14 11 10 10 12 16 19 20 17 10 6 4 4 4 4 5 7 9 11 13 15 16 16 15 15 15 15 14 14 14 14 12 10 8 6 7 12 18 23 25 24 18 12 8 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 10 10 10 10 10 11 11 nan
nan 9 9 7 5 5 6 7 9 9 9 9 9 8 8 8 8 8 9 11 13 14 11 7 5 5 7 8 8 8 7 8 8 9 9 10 11 11 11 9 7 6 6 8 13 17 17 15 12 9 7 7 8 8 7 7 7 7 8 8 7 7 8 9 10 11 11 11 11 10 8 5 4 4 6 8 10 10 10 12 14 17 18 17 14 11 8 8 8 8 10 13 15 15 14 15 18 18 14 10 7 6 8 11 14 15 16 14 13 12 12 14 16 17 16 16 16 18 20 22 21 17 12 9 8 8 8 8 8 8 9 10 11 12 14 14 15 15 16 16 14 13 12 10 7 5 5 6 8 12 17 19 20 18 14 10 8 8 8 7 7 7 6 6 7 7 7 6 6 6 6 7 7 7 7 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 nan
nan 8 8 8 7 6 5 6 6 7 7 7 7 6 5 5 6 8 10 13 15 15 13 8 6 7 9 9 8 7 7 7 8 9 8 8 8 8 9 10 10 10 10 10 13 15 15 14 11 9 7 7 7 7 6 6 7 8 8 8 7 5 5 7 9 10 11 10 9 7 6 5 4 4 6 8 10 10 10 12 14 15 16 16 14 10 7 6 7 9 12 15 16 15 14 15 17 16 12 8 6 4 5 8 11 13 13 12 12 12 13 14 15 17 17 17 17 19 20 21 20 16 13 12 11 12 12 12 11 11 11 11 10 11 11 12 13 13 13 12 12 11 9 8 5 6 9 11 13 14 15 15 15 13 11 10 10 9 9 8 7 7 8 8 9 9 9 8 8 8 8 8 7 7 8 8 9 10 10 10 10 10 10 10 10 11 11 10 10 10 nan
nan 9 10 11 11 9 7 5 4 4 4 3 3 3 3 3 6 9 12 14 15 15 14 11 9 9 10 10 8 7 7 7 7 7 7 5 4 5 7 9 11 12 13 13 12 13 13 12 10 8 6 6 7 7 7 8 9 10 11 9 7 5 3 4 6 8 9 9 7 6 5 4 4 4 5 6 7 8 9 10 12 13 14 14 12 9 6 6 8 11 14 16 16 14 13 14 15 14 11 8 5 3 3 6 9 10 10 9 8 9 10 12 13 13 14 14 15 17 18 18 17 14 12 11 11 12 13 13 13 14 14 13 12 11 11 12 12 12 12 12 12 11 11 10 10 13 18 18 17 16 14 12 11 11 10 11 12 11 9 8 7 8 8 9 10 11 11 10 10 9 9 8 8 8 8 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 nan
nan 11 12 13 14 11 8 5 4 4 3 1 0 1 2 4 7 10 12 13 14 14 14 12 10 9 9 9 9 8 7 7 6 6 5 5 4 5 6 8 10 13 14 13 11 11 11 10 9 6 4 5 6 8 9 9 11 12 13 11 7 5 3 3 3 5 6 7 6 5 4 5 4 4 3 3 5 7 8 9 10 10 11 11 10 7 5 5 7 11 15 17 17 14 12 12 13 13 11 8 6 3 2 4 7 8 7 6 5 5 7 9 9 10 11 12 13 14 15 15 13 11 10 9 8 9 11 12 13 14 15 15 14 13 12 12 12 12 13 14 15 15 15 15 17 20 22 21 18 15 13 11 10 10 11 13 13 12 10 8 7 8 9 10 10 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 nan
nan 11 12 12 12 10 8 7 7 7 6 4 2 3 5 8 10 12 12 11 10 11 11 11 10 8 7 9 9 9 7 6 6 5 6 7 8 9 9 10 10 11 12 11 10 9 9 8 7 4 2 3 5 8 10 11 12 13 14 11 7 5 4 4 3 3 3 3 3 4 5 5 5 4 3 2 4 6 8 8 8 8 8 8 8 5 3 4 7 10 14 17 17 14 11 10 11 12 11 9 6 4 3 4 7 7 7 5 4 4 4 6 6 7 8 10 12 12 12 12 11 9 8 6 5 5 7 9 12 14 16 16 16 15 14 12 11 11 12 14 16 17 18 20 21 22 22 19 16 14 12 10 9 10 12 14 14 12 10 9 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 nan
nan 11 10 9 9 10 10 9 9 9 9 9 8 8 10 11 13 13 12 10 9 8 8 10 10 8 7 8 10 9 8 6 5 5 6 8 11 13 13 12 10 9 8 8 8 9 9 8 6 3 1 2 5 8 10 12 12 13 13 11 7 5 5 4 4 3 2 0 -0 2 4 4 5 5 4 3 4 6 7 8 7 7 7 6 5 3 2 3 6 9 13 16 17 15 12 10 10 11 11 9 7 4 3 5 7 9 8 7 5 4 3 4 4 5 6 7 9 10 10 10 9 7 6 5 3 3 4 7 10 12 14 16 17 17 16 14 11 10 11 12 14 17 19 21 21 20 18 16 14 12 10 8 8 10 11 12 13 12 10 9 9 8 8 9 8 8 8 8 8 8 8 9 9 9 10 10 10 9 10 10 10 10 10 11 11 11 10 11 11 11 nan
nan 9 8 8 10 12 13 13 12 11 11 12 12 12 12 13 13 13 12 11 8 7 7 9 11 9 7 8 10 10 9 7 5 4 5 8 11 13 13 11 9 5 4 5 7 9 10 8 6 3 2 3 6 9 11 12 13 13 13 10 7 4 4 4 4 4 3 1 -1 -1 1 2 4 5 6 5 5 5 6 6 6 6 6 6 4 2 2 4 7 9 12 14 16 15 13 12 11 11 11 9 7 5 4 5 7 9 9 8 6 4 3 4 4 4 5 5 6 7 8 7 7 5 4 3 2 1 2 4 7 9 12 14 15 16 16 15 13 11 10 11 12 14 15 17 16 16 14 13 11 10 9 8 8 8 9 10 10 11 11 10 10 9 8 8 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 10 10 10 11 10 10 11 11 11 11 nan
nan 7 6 6 9 12 14 14 13 12 12 13 14 14 13 13 13 13 12 11 8 7 7 9 11 10 7 8 10 11 10 8 5 4 4 6 8 10 11 10 7 3 1 1 3 6 7 7 5 3 3 5 8 11 12 13 13 13 12 9 6 3 3 4 4 4 4 4 2 1 0 1 3 5 7 7 6 5 4 4 4 5 6 6 4 4 5 6 8 10 11 13 14 14 14 14 14 13 12 10 8 6 5 6 7 9 9 8 6 4 4 5 6 6 6 6 6 7 7 6 5 4 2 1 0 -0 0 3 5 7 9 11 13 14 14 13 12 12 11 11 10 11 11 12 12 12 11 11 10 9 8 8 7 6 6 6 8 9 11 11 10 9 8 7 6 5 5 5 6 7 7 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 nan
nan 7 6 6 7 9 11 12 11 11 11 12 14 14 14 14 14 13 12 10 8 6 6 7 9 9 7 8 9 10 10 8 6 5 4 4 6 8 9 9 8 4 1 -0 1 2 3 4 3 2 3 6 9 12 14 14 14 13 11 7 4 3 3 4 5 6 7 7 6 4 2 2 3 6 8 9 8 6 4 4 4 5 6 6 5 5 7 9 10 10 10 11 11 12 14 15 15 14 12 9 7 6 6 6 8 10 10 8 6 5 4 5 7 7 7 7 8 8 8 8 6 5 2 0 -2 -2 -1 0 3 5 7 9 10 11 11 11 10 10 10 10 10 10 11 11 12 12 12 11 10 8 8 6 4 2 2 4 7 10 11 10 9 8 7 6 5 4 4 4 5 6 7 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 nan
nan 10 10 9 8 8 8 9 8 8 9 11 12 13 15 15 15 14 12 10 8 6 4 4 6 7 8 8 8 9 8 7 7 6 6 6 6 7 8 10 11 10 7 4 2 1 1 1 2 2 4 7 11 14 15 14 13 10 7 5 3 3 4 6 8 9 10 9 8 6 4 4 6 8 10 11 10 9 7 6 7 8 8 6 5 6 9 11 11 10 9 9 10 11 12 14 15 14 11 7 4 4 4 5 7 9 10 8 6 4 4 5 6 7 7 7 8 10 11 11 10 7 4 -0 -4 -5 -4 -2 1 5 7 8 9 9 9 8 8 9 9 10 11 12 13 14 15 16 15 13 9 7 5 3 2 1 3 7 11 13 12 10 8 7 6 5 5 5 4 3 4 4 5 6 7 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 nan
nan 13 14 12 10 9 8 7 7 7 9 11 11 12 14 15 16 15 12 9 7 5 4 3 4 6 8 8 8 7 6 7 8 9 11 10 8 6 7 9 12 15 15 12 9 6 4 3 3 4 6 9 12 14 14 13 10 7 4 3 3 4 5 8 10 11 10 9 8 8 7 8 9 11 12 13 13 12 11 10 10 10 9 7 6 6 9 11 13 12 10 9 9 10 11 13 15 15 13 9 6 4 4 5 6 7 8 7 5 4 4 5 6 6 6 6 8 10 11 12 10 8 4 -1 -4 -5 -5 -3 1 5 8 9 9 8 8 8 8 9 10 12 14 15 16 17 17 17 16 13 9 5 4 3 4 6 11 15 18 17 13 10 8 6 6 5 5 6 5 5 4 3 4 5 6 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 nan
nan 15 15 14 13 10 8 7 6 8 11 13 13 12 12 14 15 14 11 8 6 4 4 4 6 8 10 10 8 7 7 8 11 14 15 13 9 5 4 6 10 15 18 18 15 13 11 9 8 9 10 11 12 12 12 9 6 4 3 3 3 5 6 8 10 11 10 9 10 11 13 14 14 14 14 16 17 16 15 13 11 11 10 8 7 8 10 12 14 13 11 9 10 11 12 13 15 16 16 14 13 11 9 7 6 6 7 7 6 6 5 5 6 7 7 8 9 10 10 9 7 4 2 -1 -3 -4 -3 -1 3 7 10 10 8 8 9 9 10 11 13 14 16 17 18 18 18 17 16 15 12 9 8 9 11 14 18 20 20 17 14 11 9 7 6 6 6 7 7 6 6 6 5 5 6 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 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
13 12 11 12 14 15 15 15 16 19 20 18 15 14 12 13 13 13 11 11 11 12 14 15 15 16 15 14 14 15 15 15 15 15 14 14 13 13 13 13 13 13 13 13 13 13 13 13 14 13 13 14 14 14 13 13 13 13 15 17 16 17 18 17 17 18 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 21 65 109 115 124 286 747 1336 1911 2526 3017 3158 3080 2951 2788 2590 2397 2289 2277 2223 2127 1965 1737 1487 1280 1167 1148
19 19 16 13 12 13 14 13 16 18 18 16 14 13 13 14 14 13 12 11 13 14 14 15 15 14 14 14 14 15 16 15 15 15 15 14 13 13 13 13 13 13 13 13 13 13 13 13 13 14 13 14 14 13 13 13 13 13 13 16 15 17 17 17 18 16 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 47 150 250 259 194 243 620 1189 1646 2142 2668 2981 3093 3092 2989 2788 2566 2370 2299 2228 2117 1927 1672 1416 1237 1170 1189
18 21 21 17 13 12 13 13 16 17 15 14 12 11 11 11 10 10 10 10 11 12 14 15 15 14 14 14 15 15 15 16 15 15 14 14 14 13 14 14 14 14 13 13 13 13 13 13 13 13 14 14 14 13 13 13 13 14 15 17 16 17 17 17 17 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 31 140 284 311 218 228 523 962 1344 1797 2251 2662 2964 3140 3151 2988 2747 2502 2351 2290 2176 1937 1634 1373 1227 1203 1244
17 19 23 21 16 14 14 13 13 13 13 13 11 9 7 7 7 8 10 10 11 12 14 14 14 14 13 14 15 15 15 15 15 14 14 14 14 14 15 15 15 14 13 12 13 12 13 12 13 13 14 13 13 13 13 13 12 13 15 16 16 14 15 16 17 12 5 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 50 143 203 180 229 459 712 1017 1399 1862 2343 2762 3068 3184 3091 2876 2649 2495 2411 2248 1949 1612 1356 1243 1246 1295
18 19 21 21 17 15 14 12 11 11 12 12 10 8 7 7 8 9 11 11 12 13 13 14 13 13 13 14 14 14 15 15 15 15 15 15 14 14 15 16 15 14 13 13 13 13 13 12 12 13 13 13 13 13 13 13 13 14 16 16 15 15 16 16 16 10 4 0 0 0 0 0 0 0 0 0 0 0 1 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 72 123 240 416 539 719 1059 1547 2037 2491 2857 3060 3074 2948 2771 2622 2506 2288 1943 1590 1357 1268 1277 1332
19 19 21 22 19 17 15 11 10 11 12 13 12 9 7 8 9 10 12 12 11 12 13 14 13 14 14 13 13 14 15 15 15 15 15 15 15 15 15 16 15 14 13 12 12 13 13 13 13 13 13 13 13 13 13 13 13 14 16 16 15 16 16 16 14 7 2 0 0 0 0 0 0 0 0 0 0 0 1 4 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14 91 223 344 456 658 977 1403 1813 2190 2527 2792 2938 2937 2825 2693 2558 2286 1907 1570 1372 1299 1308 1366
21 20 21 22 20 18 16 11 10 11 14 16 14 10 9 9 12 12 12 12 13 14 15 15 14 15 14 13 14 14 15 15 16 16 16 16 15 15 15 15 15 14 13 13 13 13 13 13 12 13 14 13 13 13 14 14 14 15 17 16 16 16 16 14 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 7 19 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 40 97 167 300 540 842 1222 1627 1950 2234 2520 2758 2859 2815 2717 2567 2233 1844 1566 1401 1331 1337 1393
24 23 23 22 20 18 16 12 11 15 19 18 15 13 13 17 18 15 13 13 15 16 16 15 14 15 15 15 15 15 15 15 16 17 17 16 16 15 15 15 14 14 14 12 12 12 12 13 13 13 13 13 13 14 14 14 14 15 17 15 16 16 15 12 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 20 63 180 392 675 1037 1462 1805 2112 2387 2612 2722 2701 2618 2496 2167 1837 1585 1428 1360 1364 1418
23 23 24 21 18 17 18 18 20 24 23 17 15 16 18 20 19 16 15 15 17 16 15 15 15 15 15 16 16 16 16 16 16 17 17 16 16 15 15 15 14 13 13 12 12 12 13 13 13 13 14 14 14 14 14 15 15 16 17 15 16 15 14 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 63 200 459 842 1300 1697 2072 2348 2516 2603 2588 2516 2433 2138 1880 1637 1470 1391 1388 1436
23 22 20 18 15 15 19 24 28 27 23 17 18 18 18 17 17 17 17 17 18 17 15 15 15 16 16 16 16 16 16 17 17 17 17 16 15 15 15 14 13 13 13 12 13 13 13 13 13 13 13 14 14 14 15 15 15 15 16 16 16 15 12 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 21 110 337 723 1195 1623 2021 2322 2443 2518 2506 2449 2373 2114 1875 1667 1507 1424 1412 1453
26 24 19 16 16 18 21 25 26 24 23 21 20 18 18 17 17 17 17 17 18 17 16 16 16 17 17 17 17 17 17 17 17 17 17 16 15 15 15 14 14 14 13 12 12 12 12 13 13 13 13 13 14 15 15 15 15 16 16 16 15 13 9 4 1 0 0 0 0 0 0 0 0 0 0 0 4 8 7 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 56 276 693 1178 1605 1984 2285 2386 2459 2447 2392 2311 2106 1860 1670 1534 1462 1451 1478
29 24 18 17 20 22 24 26 24 20 23 24 22 20 21 19 17 17 17 17 17 17 17 18 18 17 17 16 17 17 17 17 17 17 16 16 16 15 15 15 15 14 14 13 12 12 12 13 13 14 14 14 14 15 16 16 15 16 16 17 16 11 7 1 0 0 0 0 0 0 0 0 0 0 0 2 16 35 38 21 15 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 42 278 723 1214 1631 1993 2263 2361 2423 2409 2348 2250 2082 1868 1690 1574 1516 1501 1513
30 24 17 18 21 24 26 27 24 21 22 23 22 21 21 21 19 17 17 17 17 17 18 19 19 18 18 17 17 17 17 17 17 17 17 17 16 16 16 15 15 15 14 14 13 13 14 14 14 14 14 15 16 16 16 16 16 17 17 18 14 9 5 1 0 0 0 0 0 0 0 0 0 0 0 1 14 58 80 67 52 25 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 117 510 1000 1398 1742 2050 2289 2391 2436 2415 2342 2232 2087 1912 1747 1628 1571 1546 1548
28 24 22 24 27 28 28 28 25 23 21 22 22 22 21 20 18 17 15 16 17 18 18 18 19 19 18 18 18 17 17 17 17 17 17 17 17 16 16 16 16 16 15 14 14 14 14 13 14 14 15 15 16 16 16 16 17 17 16 15 9 4 2 0 0 0 0 0 0 0 0 0 0 0 0 3 30 88 129 148 119 46 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 166 648 1216 1650 1942 2162 2349 2456 2482 2443 2356 2243 2115 1972 1822 1692 1621 1587 1579
23 20 21 25 29 30 29 28 27 25 22 22 22 21 20 19 17 15 14 15 17 18 19 19 19 19 19 19 18 18 17 17 17 17 17 17 17 17 17 17 17 16 15 15 14 14 14 14 14 14 15 16 17 17 17 17 18 18 16 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 6 39 111 190 229 178 76 15 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 131 619 1262 1802 2132 2311 2435 2521 2531 2474 2381 2275 2158 2029 1893 1764 1674 1626 1605
20 19 23 27 29 30 29 28 27 25 23 23 22 21 19 18 17 16 16 17 17 17 18 18 19 19 19 19 19 18 18 17 17 17 17 17 17 16 17 17 16 16 16 15 15 15 16 15 15 15 15 16 17 17 17 18 19 18 13 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 57 148 170 132 67 18 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 114 572 1248 1872 2273 2456 2529 2570 2569 2501 2411 2310 2198 2078 1955 1831 1730 1667 1632
22 23 26 28 29 29 29 28 28 27 26 25 23 21 17 16 19 19 19 18 17 17 17 18 18 19 19 20 19 19 18 18 17 16 16 16 16 16 17 16 16 16 16 16 15 16 16 16 16 15 16 17 17 17 17 18 19 18 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 10 38 36 30 17 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 105 552 1260 1942 2384 2567 2605 2602 2600 2535 2449 2351 2240 2123 2006 1887 1781 1705 1660
24 25 26 27 28 28 28 28 28 28 26 25 24 23 20 15 18 20 19 18 17 17 17 18 19 19 19 19 19 19 19 19 18 16 15 15 16 16 16 16 16 16 16 16 16 16 17 17 17 17 17 18 19 19 18 18 21 19 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 114 571 1311 2027 2481 2651 2659 2635 2633 2580 2491 2388 2274 2157 2042 1929 1827 1747 1698
24 24 25 27 27 27 28 28 29 28 26 25 24 23 20 17 18 20 18 18 17 17 18 19 19 20 19 19 19 19 19 19 19 17 16 15 15 15 16 17 17 17 16 17 16 16 17 17 18 18 19 20 19 18 18 19 22 19 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 19 146 604 1368 2104 2549 2699 2691 2661 2662 2612 2519 2414 2297 2178 2065 1959 1864 1786 1732
24 25 25 27 26 26 27 28 27 26 25 25 25 23 20 18 19 19 19 19 19 19 19 19 20 19 19 18 18 18 19 19 19 18 17 16 15 15 16 16 17 17 17 17 16 17 18 18 18 18 19 20 19 18 19 21 20 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 30 181 624 1402 2131 2576 2717 2706 2688 2682 2624 2530 2427 2314 2196 2084 1981 1891 1816 1761
24 25 26 27 28 27 27 27 25 24 24 25 25 25 22 20 19 19 19 20 19 19 20 20 20 20 20 19 18 19 18 18 18 18 17 16 15 15 16 17 17 17 17 16 17 18 18 18 18 19 19 20 18 19 21 21 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 49 210 629 1399 2081 2564 2719 2716 2704 2682 2623 2536 2437 2329 2216 2107 2007 1917 1838 1775
24 26 26 27 28 28 27 27 24 22 22 24 24 23 21 19 19 19 20 21 21 20 20 20 19 18 18 18 19 19 19 19 19 18 17 16 16 15 16 17 17 17 16 17 18 19 19 19 19 20 20 20 20 22 23 20 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 54 219 616 1339 2007 2515 2707 2729 2708 2669 2610 2532 2442 2341 2238 2136 2039 1947 1861 1790
24 26 27 27 27 27 27 26 24 20 20 22 23 23 21 19 18 20 21 22 22 21 20 19 18 18 19 18 18 18 18 19 19 18 16 16 16 16 16 17 17 17 17 17 18 19 19 19 20 21 21 22 22 22 22 16 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 46 196 553 1169 1901 2444 2677 2726 2704 2658 2598 2527 2446 2356 2263 2170 2077 1986 1898 1820
25 26 26 27 27 27 27 26 22 19 17 20 22 22 21 18 18 21 22 22 21 20 20 20 19 19 19 19 18 17 18 19 18 17 16 16 16 16 16 16 17 17 17 18 19 19 19 19 21 21 23 23 23 22 22 13 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 34 169 482 1001 1752 2340 2633 2722 2709 2656 2592 2521 2448 2371 2289 2205 2119 2031 1947 1873
26 26 26 26 27 26 27 23 18 15 16 19 21 20 19 18 19 21 22 22 22 22 21 21 20 20 19 18 18 18 18 18 18 17 16 16 16 16 16 16 17 18 18 19 20 20 20 21 21 22 24 24 24 24 22 14 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 30 150 425 902 1594 2194 2534 2675 2688 2641 2577 2513 2448 2386 2315 2242 2164 2086 2010 1941
27 27 27 27 27 27 27 21 17 16 17 19 20 18 16 17 19 21 21 22 23 23 23 22 21 20 19 17 18 18 18 18 18 17 16 16 16 16 16 16 17 18 19 19 20 20 21 22 22 24 24 24 25 24 20 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 26 129 378 817 1413 2002 2406 2617 2670 2637 2578 2518 2454 2401 2342 2280 2213 2145 2078 2012
28 28 28 27 27 27 26 19 18 19 19 19 19 17 16 16 18 19 21 21 21 22 22 22 21 19 18 18 18 18 18 17 17 17 16 17 17 17 17 18 18 18 19 19 20 20 21 22 24 25 25 25 24 20 18 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 23 113 331 711 1225 1774 2232 2495 2597 2590 2545 2498 2449 2409 2366 2315 2260 2204 2147 2085
29 29 28 26 25 26 24 18 18 19 19 19 18 17 17 16 19 21 21 22 21 21 21 21 21 19 17 17 17 17 17 17 16 16 16 17 17 17 17 18 18 19 19 20 20 21 23 24 24 26 27 28 26 20 19 13 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 21 94 278 600 1035 1521 2017 2356 2529 2568 2542 2498 2453 2413 2379 2343 2299 2254 2206 2152
29 28 26 23 21 23 21 18 17 16 17 18 19 19 19 20 22 23 21 20 19 18 18 18 19 18 17 17 17 16 16 16 16 16 16 16 16 17 17 18 19 19 20 21 22 22 24 24 25 26 28 29 27 21 19 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 19 80 228 490 847 1271 1767 2174 2434 2529 2538 2506 2459 2416 2385 2361 2330 2295 2256 2209
27 26 24 21 19 21 19 17 15 15 16 17 20 23 23 22 23 24 22 21 18 16 17 17 17 17 16 17 16 16 16 16 16 16 16 16 16 16 17 18 19 21 21 21 22 23 23 24 25 24 26 29 28 23 18 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13 63 183 396 677 1025 1479 1935 2252 2416 2478 2483 2457 2420 2390 2369 2349 2322 2298 2265
25 24 20 18 19 20 18 16 16 17 18 19 21 24 24 23 23 24 22 21 17 15 16 16 17 16 16 17 16 16 16 16 16 15 14 15 15 16 17 18 19 21 22 22 23 24 24 24 25 25 28 31 28 22 14 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 44 145 320 529 813 1231 1666 2062 2306 2428 2463 2449 2416 2384 2360 2351 2327 2314 2286
22 20 18 17 19 21 19 18 18 21 22 23 23 24 23 23 24 22 22 21 17 15 15 16 16 16 15 16 15 16 16 15 14 14 14 14 15 16 17 19 20 20 22 23 24 24 24 26 28 30 31 32 29 21 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 28 112 245 394 605 936 1341 1765 2069 2249 2334 2358 2355 2345 2330 2335 2320 2314 2292
17 16 18 18 20 21 22 22 22 24 24 24 23 23 24 25 25 23 22 21 17 15 14 15 16 15 15 15 15 15 15 14 14 13 13 14 15 16 18 19 21 21 21 23 24 25 26 28 29 29 28 28 27 19 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 85 178 271 427 700 1069 1474 1796 2008 2147 2217 2255 2277 2273 2286 2286 2279 2256
16 17 19 20 22 23 23 23 23 24 22 22 22 22 23 24 24 25 23 21 17 15 14 15 16 15 14 14 14 14 13 12 12 12 12 13 14 16 18 19 21 21 22 23 23 24 27 27 25 21 19 20 21 18 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 60 129 180 257 412 678 1040 1416 1713 1926 2041 2110 2156 2174 2199 2215 2219 2197
19 20 21 22 22 22 22 22 23 23 22 21 22 23 24 24 23 24 24 22 17 15 14 15 15 14 13 13 13 12 11 10 10 10 10 12 14 16 18 20 21 22 22 21 21 23 24 22 18 14 12 14 17 16 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 40 93 116 148 238 428 724 1078 1333 1597 1765 1895 1985 2030 2070 2107 2117 2105
22 22 21 21 21 21 21 22 22 22 22 22 23 24 25 24 23 23 22 20 16 14 15 15 15 14 13 12 11 9 9 9 8 8 8 11 14 16 19 20 20 22 20 18 18 18 17 15 12 10 10 12 15 14 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 55 70 73 88 151 307 575 889 1217 1417 1600 1744 1830 1892 1947 1990 2003
22 22 20 21 21 20 20 21 21 22 23 23 24 24 25 24 23 22 21 20 17 15 16 15 14 13 12 11 8 8 8 7 6 6 7 11 14 16 18 20 22 21 18 14 14 13 13 13 12 11 11 13 13 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 28 39 33 24 34 99 243 456 741 986 1208 1393 1538 1657 1753 1816 1852
22 21 19 19 19 19 20 20 20 21 22 23 23 24 24 24 23 22 20 18 16 15 16 15 13 12 10 8 6 7 5 4 4 4 6 10 13 15 17 21 22 19 15 13 13 12 12 13 14 15 15 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 14 9 6 9 39 132 331 562 790 1006 1214 1405 1554 1634 1669
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