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 5 5 6 6 6 7 7 7 8 8 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 8 9 10 11 13 14 15 12 10 10 9 6 3 2 4 7 12 14 15 14 14 14 14 15 15 15 17 16 13 8 4 0 -3 -3 -1 1 2 3 3 4 4 3 2 2 2 2 3 6 7 7 5 2 -0 0 4 6 6 7 10 12 12 11 11 12 10 5 3 4 5 5 4 4 5 7 10 10 10 9 9 8 7 6 6 6 5 4 3 3 3 4 4 3 6 10 11 8 4 3 4 5 5 4 3 5 6 5 3 3 3 5 7 8 8 8 7 7 8 8 6 3 1 3 6 10 12 13 13 13 13 13 12 nan
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nan 15 17 17 15 14 14 14 17 21 23 22 18 15 13 10 8 5 2 2 4 8 11 11 11 9 6 3 1 2 6 9 11 10 8 6 4 4 4 4 4 6 9 13 16 17 15 13 11 8 5 4 6 8 9 9 8 6 5 6 6 7 9 10 12 14 16 17 17 16 16 14 10 7 3 2 5 7 7 8 9 10 10 9 8 8 10 14 14 12 10 9 9 10 10 7 5 6 10 13 12 8 3 0 2 5 7 8 8 9 10 13 17 20 21 20 18 17 17 19 20 22 23 20 13 5 1 3 6 8 9 9 9 10 11 13 14 14 9 5 2 2 4 8 10 8 5 2 0 -1 1 5 8 8 8 9 12 14 13 8 3 1 3 5 8 10 10 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 nan
nan 12 14 14 12 11 11 13 15 20 24 22 17 12 10 8 7 5 4 4 6 10 11 11 10 8 6 4 5 5 6 7 10 11 11 9 7 5 4 4 5 6 10 14 17 17 14 11 9 7 7 7 9 9 8 7 7 6 7 7 7 7 8 10 12 15 17 17 16 15 15 15 13 10 7 5 6 7 7 7 9 11 11 9 8 7 10 13 14 13 12 10 10 9 7 5 5 8 13 14 12 7 2 -0 1 5 8 9 7 7 6 9 14 19 22 20 14 10 10 13 18 23 24 19 9 2 3 10 15 15 10 4 -1 -2 1 7 14 18 17 12 7 3 1 2 5 6 4 2 2 2 4 6 9 11 12 11 10 9 7 5 3 3 6 9 10 11 10 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 nan
nan 12 14 14 13 12 11 12 15 20 23 21 14 10 7 6 6 5 5 5 7 10 11 10 8 6 6 7 9 11 10 8 8 9 10 10 9 7 6 5 6 7 10 13 15 14 12 9 7 8 10 11 13 13 10 8 6 5 4 4 5 7 8 10 12 14 16 17 16 15 15 14 12 10 8 7 7 7 6 7 10 13 14 11 9 8 10 12 13 13 13 12 12 11 9 8 9 12 15 14 10 5 0 -2 -0 4 9 10 9 7 6 7 11 17 21 19 11 4 1 4 10 18 23 22 15 8 9 18 23 20 13 5 -3 -6 -4 1 6 11 14 13 9 4 1 -1 1 5 5 6 6 5 4 4 7 11 15 16 12 8 6 5 5 6 8 11 11 11 10 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 nan
nan 14 16 16 15 14 12 12 15 19 20 17 12 8 6 5 4 4 4 6 9 11 10 9 7 5 5 7 10 12 12 10 8 7 8 9 9 9 8 8 7 8 9 11 12 12 10 8 6 7 10 12 14 14 12 9 7 5 3 2 4 7 10 11 12 12 13 15 15 15 14 14 12 8 6 6 6 7 7 9 12 15 16 14 11 9 10 11 12 13 14 14 14 14 12 9 9 12 14 13 10 6 1 -1 -1 3 9 11 11 9 8 7 10 15 20 20 14 7 1 -1 3 10 19 24 21 16 15 18 22 21 17 12 7 4 2 2 3 5 7 8 8 6 3 3 5 8 9 8 7 4 1 -0 5 12 18 19 14 9 5 4 5 7 9 11 12 11 10 10 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 15 16 16 14 12 11 12 15 18 19 15 10 6 4 3 2 2 4 7 10 10 9 7 5 4 4 5 7 9 10 10 9 7 7 8 10 11 12 10 8 8 8 9 10 10 9 7 6 6 8 10 11 11 11 10 7 5 5 6 7 9 11 12 12 11 11 12 14 14 14 13 11 8 5 5 6 8 8 9 14 17 19 17 13 10 9 10 11 13 14 15 16 14 12 8 7 9 12 12 11 7 2 -1 -1 3 8 12 12 11 10 9 10 13 16 18 18 13 6 1 1 5 13 20 21 18 14 11 11 13 17 19 19 17 14 10 7 6 6 8 10 10 9 9 10 11 11 8 5 3 1 2 8 15 18 18 13 7 4 4 5 8 11 13 13 12 11 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 nan
nan 15 14 12 10 8 8 11 15 19 19 15 10 6 3 1 1 2 5 9 11 10 7 5 4 3 3 4 5 7 8 9 9 9 9 10 12 14 14 13 10 9 8 8 8 8 8 8 7 8 8 8 8 9 11 10 7 5 5 7 8 9 10 11 12 12 13 15 16 15 13 12 10 9 7 7 8 8 7 8 13 19 21 20 14 9 8 9 11 13 15 16 16 15 12 10 9 10 12 12 11 8 4 1 1 5 8 10 12 12 12 12 11 10 10 12 15 15 10 5 3 5 9 13 15 14 10 5 0 2 9 17 21 23 22 18 13 11 10 12 15 15 12 11 10 11 10 7 5 4 3 6 12 15 15 12 9 4 3 4 7 10 13 14 13 12 11 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 13 11 9 7 6 7 11 15 19 18 15 11 7 3 1 2 5 8 10 10 8 6 4 2 2 2 3 4 6 8 9 9 9 10 11 13 15 16 15 12 9 7 6 6 6 6 6 7 8 9 10 10 10 10 10 9 7 7 8 8 8 8 9 11 14 16 19 19 18 15 14 13 12 12 12 11 10 9 9 13 19 21 20 14 9 7 9 12 15 17 18 18 17 15 16 15 14 13 12 11 10 8 6 4 4 5 7 10 13 14 15 13 8 5 5 8 10 9 7 6 7 8 8 7 7 5 2 -2 -3 2 9 15 20 22 21 17 15 14 15 16 15 14 12 11 10 9 8 7 6 6 8 10 11 9 7 5 3 3 5 9 13 15 15 13 11 10 10 10 11 11 11 10 9 9 9 9 8 8 9 9 9 9 8 8 8 9 9 9 9 nan
nan 11 9 7 7 7 9 12 16 17 16 13 10 8 5 4 4 7 8 9 8 7 5 4 3 2 3 4 5 6 7 8 7 8 10 12 14 15 16 15 13 10 7 5 4 4 4 4 5 7 8 9 9 9 9 9 9 9 10 11 11 10 9 10 12 15 18 20 22 21 19 17 16 16 16 15 15 14 13 12 13 16 17 17 14 11 10 11 13 16 18 20 21 19 18 17 16 13 11 10 11 11 11 8 3 -0 -2 1 7 14 17 17 14 8 3 2 3 5 6 6 7 8 9 8 6 4 3 2 0 -1 -1 2 6 11 16 17 16 14 12 10 8 10 14 16 15 12 9 9 9 9 8 8 8 7 6 6 4 3 3 6 11 14 15 14 12 11 10 10 10 11 11 11 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 nan
nan 9 8 8 8 8 10 13 15 16 14 11 8 6 5 5 5 7 8 7 6 6 6 7 7 7 7 7 8 7 7 6 6 7 9 11 13 14 16 16 14 13 10 9 7 5 4 4 5 6 7 8 7 7 7 7 7 8 9 10 11 11 12 12 13 15 17 20 22 22 21 18 17 16 15 16 16 16 14 12 9 9 10 12 13 14 14 14 14 15 16 18 20 19 16 13 11 9 7 6 7 8 10 7 2 -3 -4 -2 5 13 17 16 13 8 3 2 2 3 5 6 6 7 9 10 9 8 7 6 5 4 1 -1 1 4 7 8 7 6 5 2 -0 2 9 15 16 13 11 9 10 10 10 9 8 7 7 6 4 2 3 8 12 13 13 13 11 10 10 10 10 10 11 11 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 nan
nan 8 8 7 7 7 9 12 14 14 12 9 7 5 4 4 5 6 7 6 5 6 7 9 11 11 11 10 10 9 8 7 6 8 9 11 12 13 16 17 17 16 15 14 13 11 10 8 7 7 7 7 7 7 7 6 5 6 6 7 8 10 11 13 14 14 15 18 20 21 21 18 16 15 14 14 14 13 11 7 4 2 3 7 12 16 18 18 15 13 13 14 16 16 13 10 8 6 4 2 2 3 4 5 3 0 -1 0 4 10 13 13 10 6 4 3 3 4 6 6 7 7 9 10 11 12 13 14 13 10 6 2 2 2 3 2 1 -1 -1 -2 -3 -3 2 8 12 13 12 11 10 11 11 11 10 9 8 7 4 2 4 8 11 12 12 11 11 10 10 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 nan
nan 8 6 5 4 6 8 11 13 12 11 9 8 7 6 6 6 7 8 7 6 5 6 7 8 10 12 12 10 10 10 10 10 10 10 10 11 13 16 18 18 17 16 16 16 17 16 14 12 10 8 7 8 8 8 8 7 6 6 6 7 8 10 12 13 12 12 14 17 18 18 17 15 14 12 11 11 10 7 4 1 -1 0 6 13 18 22 22 18 13 11 11 12 13 11 9 8 7 7 6 5 6 7 8 7 5 4 3 5 8 9 7 5 3 2 2 3 5 8 10 12 12 11 12 13 15 18 22 21 17 13 9 6 6 5 5 4 2 1 1 0 -0 1 5 10 13 15 15 14 14 14 13 12 11 10 8 5 3 5 9 11 12 11 10 10 10 9 9 9 9 9 9 9 9 8 8 8 7 8 8 8 8 9 9 9 9 9 9 9 9 nan
nan 6 3 2 3 5 8 11 12 11 10 9 10 10 10 9 9 10 11 11 8 5 3 3 4 6 10 12 11 11 12 13 13 13 11 10 10 12 15 16 17 17 16 15 15 17 18 18 16 14 11 9 9 10 11 11 9 8 8 8 9 10 11 12 12 10 9 10 12 14 14 13 12 11 10 8 7 6 6 5 3 2 3 7 14 20 23 23 20 14 11 11 11 11 11 10 11 12 14 15 15 16 17 16 14 10 7 5 5 6 6 3 2 1 1 1 3 6 10 15 19 18 15 13 13 15 19 23 23 20 16 13 11 9 9 10 9 7 5 5 7 8 9 9 11 13 15 16 16 15 15 14 13 12 11 9 6 5 7 10 13 13 12 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 nan
nan 3 -0 0 2 6 9 11 11 10 9 10 12 12 12 10 10 11 12 12 9 5 2 2 5 8 12 14 14 14 14 14 14 14 13 12 11 12 13 14 15 15 14 14 14 15 16 17 17 15 13 11 11 12 12 12 11 11 11 11 12 13 14 14 12 9 7 6 8 10 11 10 9 9 7 6 5 5 6 7 7 7 7 10 15 19 22 22 20 16 13 11 10 9 9 10 12 16 18 19 20 21 21 18 14 9 5 3 4 7 8 8 6 6 6 6 7 9 13 19 22 21 17 12 11 12 15 18 20 18 16 14 11 10 10 9 8 6 6 9 12 15 16 15 12 11 12 13 13 13 14 14 13 11 9 7 6 7 9 12 13 13 12 10 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 nan
nan 2 -0 1 5 9 11 12 11 10 9 11 12 12 10 9 8 9 11 11 9 6 5 5 8 12 16 18 18 16 15 13 13 14 14 14 13 12 12 12 12 12 12 13 13 13 13 13 12 12 11 11 11 12 12 12 12 12 13 14 15 16 16 16 13 8 5 4 6 9 10 10 9 8 7 6 5 5 6 8 10 10 11 13 15 18 20 20 19 16 13 11 9 8 8 9 11 15 20 22 22 21 19 15 11 6 1 -1 3 10 15 17 17 16 15 15 14 14 16 19 20 18 14 10 7 7 8 11 14 14 14 13 11 10 9 7 5 6 10 14 17 18 19 17 13 9 7 8 8 9 11 12 11 9 7 6 6 7 9 10 11 11 10 10 9 9 10 10 11 11 11 11 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 3 3 6 10 13 14 14 11 9 9 11 12 10 8 7 6 7 8 9 8 8 8 9 11 14 17 18 18 15 14 12 11 11 13 13 13 12 11 10 10 10 10 11 12 12 11 9 8 8 9 10 11 12 11 11 11 13 15 16 17 17 17 17 14 9 4 2 4 7 10 11 10 9 8 7 6 5 5 7 9 12 14 15 16 17 18 18 17 15 13 11 9 7 7 8 10 14 20 24 22 20 18 15 10 5 -1 -3 3 12 17 19 20 20 20 19 18 16 15 15 15 13 11 8 6 4 5 7 9 11 13 13 12 11 10 7 7 10 15 19 20 19 18 18 15 10 5 3 3 5 7 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 10 10 11 10 10 10 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 nan
nan 6 8 11 15 16 15 13 10 7 7 9 11 9 7 6 5 6 6 6 6 7 8 10 11 13 15 15 15 14 13 11 9 8 8 10 10 10 9 8 8 8 9 10 11 11 9 7 6 6 7 9 10 11 10 10 10 12 14 16 16 17 17 18 16 11 5 2 1 4 8 10 10 9 8 7 6 5 5 6 9 13 15 16 17 16 16 16 15 13 12 10 9 7 8 9 11 13 15 17 17 17 17 15 11 6 1 0 5 10 11 11 11 12 13 13 12 11 10 9 10 9 8 7 5 4 5 6 8 11 14 15 14 13 11 9 10 13 17 19 19 16 15 15 14 12 7 5 5 6 7 7 6 7 8 9 9 8 8 7 7 7 7 7 7 8 8 8 9 9 9 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 11 14 16 15 13 11 8 7 7 9 10 9 8 6 4 4 4 4 6 7 8 9 10 11 12 12 13 15 14 11 8 6 5 6 6 6 6 6 7 8 9 9 10 9 8 7 6 5 6 8 9 10 11 11 11 11 12 12 12 13 14 17 18 16 10 4 1 2 5 8 9 9 8 7 6 6 6 8 11 14 16 17 17 16 15 14 13 12 10 9 8 8 11 13 15 14 10 10 12 14 15 14 11 7 4 4 5 5 3 1 0 1 2 3 4 4 4 4 5 6 7 7 6 6 7 9 11 13 16 17 15 13 11 10 10 11 13 14 14 12 10 10 10 11 11 11 11 12 10 8 7 10 13 12 11 10 8 7 6 6 6 6 6 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 nan
nan 14 14 14 14 13 11 9 9 9 9 10 11 9 8 6 4 3 2 3 4 6 8 8 9 9 9 9 11 13 13 12 9 7 6 6 6 5 5 5 6 8 9 10 10 9 8 8 7 6 6 7 9 11 12 13 12 10 9 8 8 8 10 14 17 17 14 9 4 3 4 6 8 8 8 8 8 8 10 11 13 14 15 16 16 16 15 14 12 10 9 8 8 11 16 21 22 19 12 11 14 15 15 13 10 8 7 6 6 5 2 0 -2 -2 -1 1 1 1 0 0 2 5 6 7 7 8 10 12 14 15 16 16 14 12 10 9 8 7 7 8 9 9 9 7 7 9 12 14 14 13 10 8 10 15 16 15 13 11 10 8 6 5 5 5 5 6 6 6 6 6 6 6 7 8 8 9 10 10 9 8 8 8 8 9 9 9 9 9 8 8 nan
nan 16 14 12 12 11 11 11 11 11 11 11 10 9 8 7 6 5 4 3 4 6 8 9 9 8 8 7 8 9 10 11 10 10 10 10 9 8 7 6 7 8 10 11 10 9 8 7 7 7 8 9 11 13 14 14 13 11 9 7 6 6 7 9 12 14 14 12 9 6 5 5 7 8 8 9 9 10 11 13 14 14 13 14 15 16 16 15 13 10 9 9 10 14 21 28 29 26 20 18 17 16 14 13 13 14 13 12 12 12 10 7 5 3 4 4 3 0 -2 -2 -0 3 6 8 9 11 12 14 15 15 15 14 13 12 11 9 8 7 6 7 8 9 9 8 7 8 10 12 12 9 7 8 13 17 18 16 13 11 10 8 6 4 4 4 5 5 5 5 5 5 5 5 6 7 7 8 8 9 9 9 8 8 8 9 9 9 9 9 8 8 nan
nan 14 11 9 9 10 11 12 13 13 12 11 12 12 12 11 10 9 7 5 5 6 7 8 9 9 8 7 7 7 8 8 9 10 12 13 13 12 10 8 8 9 11 12 10 8 7 6 8 10 12 14 15 16 15 14 13 12 11 9 7 6 5 6 8 10 12 12 11 8 6 5 6 8 8 8 8 8 9 11 12 12 12 12 13 15 16 16 14 11 8 8 10 13 19 25 27 26 22 18 15 13 13 15 18 21 21 20 19 19 17 13 11 9 9 8 5 1 -2 -2 -0 3 7 10 11 12 12 13 13 13 13 13 13 14 14 13 12 11 10 9 9 9 9 9 9 10 11 12 10 9 9 12 17 19 18 15 12 10 8 6 4 3 3 4 4 5 5 5 5 4 4 5 5 6 7 7 8 8 8 8 8 8 8 8 8 8 9 8 8 8 nan
nan 11 8 7 8 10 11 13 15 15 15 14 15 16 15 13 11 9 7 6 6 6 7 7 8 9 9 9 9 9 8 7 8 9 11 13 14 13 12 10 9 9 10 12 12 9 6 6 7 11 14 17 18 17 16 14 13 13 12 11 8 6 4 4 6 8 9 11 11 9 6 4 5 6 7 7 6 6 6 8 9 10 11 11 12 13 14 15 14 11 8 6 7 8 11 15 18 18 15 10 8 8 10 14 18 21 21 18 17 17 17 17 16 13 10 8 6 4 3 3 4 6 9 11 11 11 10 10 11 12 13 13 14 15 16 16 16 14 12 10 8 8 9 10 12 13 14 13 11 12 16 19 21 21 19 15 11 8 6 5 4 3 3 3 4 5 5 5 5 5 5 5 5 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 nan
nan 9 8 8 8 9 11 13 15 17 17 16 16 16 14 11 7 6 6 5 6 6 7 6 6 7 8 9 11 11 9 8 7 8 9 12 13 13 11 10 8 8 9 12 13 11 8 6 6 9 13 16 17 17 15 13 13 12 12 10 8 5 4 5 6 7 8 9 9 8 6 4 3 4 6 6 6 6 5 6 8 10 11 12 11 11 12 13 12 10 8 7 7 7 6 8 11 11 9 6 4 4 7 11 14 17 16 14 13 13 15 18 17 12 8 7 8 9 10 11 10 9 10 11 10 8 7 7 8 10 12 14 15 16 17 17 16 13 10 7 6 8 11 13 14 14 13 11 10 13 18 22 23 22 19 14 10 7 6 5 5 4 4 4 5 5 6 5 5 5 5 5 6 6 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 nan
nan 9 9 8 8 8 9 11 13 15 15 15 14 13 11 8 5 4 5 5 7 9 9 7 5 4 7 9 11 12 10 9 8 8 9 11 12 12 11 9 7 6 7 11 14 14 10 6 5 6 9 13 14 14 13 12 12 12 11 9 7 5 5 6 7 8 9 9 9 7 5 4 3 3 4 6 7 8 7 8 10 12 13 13 12 10 10 11 10 8 8 10 12 11 7 7 9 11 9 7 4 3 5 7 10 12 13 12 12 12 13 13 11 8 6 7 10 14 17 16 14 11 9 9 7 6 6 6 6 8 10 13 15 16 16 16 15 12 9 7 8 11 14 15 14 12 10 9 9 11 15 18 20 19 15 11 9 8 8 8 7 6 6 6 7 7 6 6 5 5 5 6 6 6 7 7 7 7 7 7 7 7 8 8 7 7 6 6 5 4 nan
nan 7 7 7 7 7 7 8 10 11 11 11 10 9 7 6 4 5 6 8 10 13 12 8 5 5 7 11 12 12 11 9 9 9 9 10 11 11 10 9 8 7 8 11 15 15 13 8 5 4 5 8 10 11 10 11 11 11 11 9 7 6 5 6 8 9 10 9 9 7 5 3 2 3 4 6 8 9 9 10 11 13 15 14 12 9 8 9 8 8 9 12 16 16 11 9 9 10 10 8 6 5 5 7 8 10 10 11 11 10 10 9 9 8 9 12 16 20 22 20 16 12 9 7 6 6 6 6 7 8 10 12 14 16 16 16 15 14 12 11 13 15 15 14 10 6 5 7 9 11 11 13 14 14 12 11 10 10 11 10 9 8 7 7 8 8 8 7 6 6 6 6 6 7 7 7 7 7 6 6 6 7 7 7 7 6 6 6 6 6 nan
nan 7 7 9 9 7 6 5 6 7 7 7 7 5 4 3 4 5 7 9 12 13 13 10 8 8 11 14 14 12 10 8 8 8 8 7 8 9 9 9 9 9 10 12 15 16 14 10 6 3 3 5 7 7 8 9 10 12 12 10 9 7 5 6 7 9 10 9 9 7 5 3 2 3 4 6 7 9 10 10 11 13 14 13 11 8 6 6 7 8 11 14 17 17 14 12 10 8 7 7 6 6 5 6 7 8 8 9 9 10 10 10 11 12 14 17 20 23 23 20 15 11 9 8 7 7 8 8 8 9 10 11 12 14 16 16 15 15 14 14 14 14 14 11 7 4 5 9 12 13 11 11 11 12 12 12 12 13 13 12 11 9 8 8 9 9 9 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 nan
nan 8 10 14 14 9 5 3 2 4 4 3 2 2 1 2 3 5 7 9 12 13 14 13 12 12 14 15 14 11 9 7 7 7 6 5 5 6 7 9 10 11 12 14 15 16 14 11 7 4 3 3 5 6 7 8 10 12 13 12 10 8 6 5 6 7 8 8 7 6 5 4 3 4 4 5 6 7 8 9 10 10 11 12 11 8 6 5 7 9 12 15 16 15 15 14 12 9 6 5 4 3 3 4 5 6 6 6 7 8 10 11 13 14 16 18 20 21 20 17 13 10 9 9 9 9 9 10 10 10 10 11 12 13 15 16 16 15 15 15 15 15 14 12 10 8 11 15 17 16 13 11 11 11 12 13 14 15 14 13 12 10 9 9 10 10 9 8 8 8 8 8 7 7 6 5 5 5 5 5 5 5 6 6 6 7 7 7 7 8 nan
nan 9 12 15 14 9 4 2 2 3 4 2 1 1 1 3 5 7 9 11 12 13 15 16 15 14 14 14 12 10 8 6 6 6 5 4 4 5 7 10 11 12 13 13 13 14 14 12 8 4 2 2 3 5 6 8 10 12 14 14 11 8 6 5 5 6 6 6 5 4 5 5 5 5 5 4 5 6 8 8 8 8 8 9 10 8 6 6 8 10 13 14 13 12 12 14 15 14 11 7 4 1 0 0 2 2 2 3 3 5 7 10 12 14 15 16 17 17 16 13 10 9 8 9 9 9 10 10 10 11 11 12 12 12 13 15 15 16 16 17 18 17 17 16 15 15 19 21 20 17 13 10 10 10 11 13 14 15 15 14 13 11 10 10 10 10 9 9 8 8 8 8 7 6 5 5 5 5 5 5 5 4 5 5 5 6 6 7 8 10 nan
nan 10 11 11 10 8 6 5 5 6 8 7 5 4 5 6 8 9 10 11 13 14 16 17 16 14 12 11 11 9 7 6 5 5 5 6 7 9 11 12 13 12 11 10 10 12 13 12 9 5 2 2 3 4 6 8 10 12 13 13 11 9 7 5 5 4 4 3 2 2 4 5 6 6 6 5 5 7 8 7 6 6 6 6 7 6 5 6 8 10 12 13 12 9 8 11 15 17 16 13 9 5 3 2 1 1 0 1 1 1 3 6 9 12 14 16 16 15 13 11 8 8 8 8 7 7 8 9 10 11 12 12 12 12 12 13 14 15 16 18 19 19 19 19 20 22 24 24 21 16 12 9 9 9 10 11 13 14 15 14 13 11 10 10 10 10 10 9 9 8 7 6 6 5 5 5 5 5 5 5 5 5 5 6 6 7 8 9 10 11 nan
nan 10 9 9 9 10 10 9 9 10 12 12 10 8 8 8 9 9 11 13 14 15 16 16 16 13 10 9 10 9 8 6 5 5 6 8 10 12 14 14 13 11 8 7 8 11 13 12 9 5 2 2 4 5 7 8 10 12 12 12 10 8 7 5 4 4 2 1 1 1 3 4 5 6 6 6 6 6 7 7 5 4 4 3 3 2 2 4 6 9 11 12 11 8 6 8 13 18 20 19 15 10 7 7 5 4 4 4 3 2 1 3 6 9 12 14 15 14 12 9 7 7 7 6 6 5 5 7 9 11 12 13 13 12 12 12 13 14 14 15 16 18 20 22 24 25 25 23 18 14 11 9 8 7 7 8 10 11 13 13 12 11 10 10 10 10 9 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 9 10 11 11 11 nan
nan 7 7 7 9 12 13 14 13 13 13 14 13 11 10 9 9 10 12 15 15 15 14 14 15 13 11 9 10 10 8 7 6 6 7 9 11 13 14 14 12 9 6 5 7 10 13 12 10 6 3 3 5 6 8 9 11 12 12 11 9 7 5 4 4 3 3 2 1 2 2 3 3 5 6 6 5 5 5 5 4 3 3 3 2 1 1 3 5 8 9 10 10 8 7 8 12 18 21 21 17 13 10 10 10 10 10 9 6 3 2 3 4 7 10 12 13 12 10 8 5 4 4 4 4 3 4 5 8 10 11 13 13 13 12 12 12 13 12 12 14 16 20 23 25 24 22 18 14 11 10 8 7 5 5 5 6 8 10 11 11 10 9 9 9 9 8 7 7 6 7 7 8 8 8 9 9 9 9 9 8 9 9 9 9 10 10 10 10 10 nan
nan 4 5 6 8 11 14 15 14 13 13 13 13 13 12 10 10 11 13 16 15 13 11 11 13 13 11 10 10 10 9 8 7 7 7 9 10 11 12 11 10 8 5 5 6 8 10 10 9 6 4 4 6 8 9 10 11 12 11 9 7 5 3 3 3 4 5 5 5 4 3 3 3 4 6 7 5 4 4 4 4 4 4 4 4 4 4 4 5 7 8 9 9 9 9 11 13 18 20 19 16 12 11 12 14 15 15 12 7 3 2 3 5 7 9 10 10 10 9 7 4 2 1 1 1 1 2 4 6 8 10 12 13 12 12 11 11 11 11 11 12 15 19 22 21 19 16 13 11 9 9 7 4 2 2 2 3 6 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 11 nan
nan 4 6 6 7 9 11 12 12 11 11 12 13 14 14 13 13 13 14 15 14 12 10 9 11 12 11 10 11 11 10 9 8 8 8 7 7 8 8 9 9 8 6 6 6 6 7 7 7 6 6 7 9 10 11 11 11 10 9 7 5 4 3 3 4 6 6 7 7 6 5 4 5 7 10 10 8 5 4 4 5 6 6 6 5 6 6 5 5 6 7 9 9 10 10 12 13 16 17 17 14 12 12 13 16 18 17 14 8 2 1 1 3 6 8 9 9 9 9 8 5 2 -1 -2 -2 -2 -1 1 3 6 8 10 11 12 11 10 10 10 11 11 13 15 18 19 18 15 13 11 9 8 7 5 2 -1 -1 0 3 5 7 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 10 10 10 10 10 11 11 11 11 11 11 nan
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nan 14 14 12 8 6 5 5 6 7 8 9 11 13 15 17 18 18 16 13 9 6 5 5 6 7 9 11 13 12 11 9 10 11 11 9 6 4 4 6 9 11 12 11 9 8 7 6 7 9 11 13 14 14 12 9 7 5 4 3 3 4 4 5 6 6 4 4 6 9 12 13 14 15 16 15 13 12 11 11 12 12 12 10 10 10 10 9 6 4 4 6 8 9 10 12 13 14 14 14 14 13 12 11 11 12 13 13 10 5 2 1 3 6 8 9 10 12 14 14 12 7 2 -3 -6 -6 -5 -3 0 3 6 8 9 10 10 10 11 12 14 15 16 17 19 21 21 18 15 10 6 3 1 1 2 4 8 10 11 9 7 6 6 6 6 6 6 7 7 7 6 6 6 5 5 6 6 8 9 10 12 13 14 13 13 12 11 11 11 10 10 10 nan
nan 16 16 15 12 8 6 6 7 10 12 12 12 12 14 16 17 17 14 10 6 4 4 5 7 9 11 13 14 13 11 10 11 14 14 11 7 3 3 4 7 11 12 12 12 11 11 11 11 12 12 13 13 12 9 7 4 3 3 3 3 4 5 6 7 6 5 6 9 13 15 15 15 16 16 16 16 17 17 16 15 15 14 13 13 14 15 14 11 7 5 6 7 8 9 11 13 15 15 16 16 15 14 12 10 10 11 11 9 5 3 3 5 7 10 11 13 14 15 15 13 9 4 -1 -4 -5 -4 -2 2 5 7 8 8 9 10 12 13 14 15 16 16 17 19 21 22 20 14 9 4 3 3 6 8 11 13 13 11 9 8 7 6 6 6 6 6 6 6 5 5 5 5 4 5 5 6 7 8 9 11 13 14 15 14 13 12 11 11 10 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
16 15 14 13 12 10 8 8 9 9 10 11 12 12 12 12 12 12 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 10 10 11 10 10 9 9 10 12 13 12 12 11 9 7 7 10 12 14 12 8 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 42 128 232 285 331 345 300 314 422 523 466 249 143 449 909 1249 1749 2386 2754 2764 2587 2403 2303 2253 2283 2304 2289 2272 2233 2144 2023 1920 1856 1801
15 15 14 14 12 10 9 8 8 9 10 11 12 12 12 12 12 12 12 11 11 10 11 11 10 10 11 10 10 10 11 11 11 11 10 11 11 10 10 10 10 10 10 10 11 11 10 10 11 10 10 10 10 11 12 13 13 12 12 9 6 8 10 13 14 12 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 78 210 312 344 368 344 310 348 467 558 463 241 203 592 1083 1501 1874 2328 2611 2678 2607 2497 2412 2340 2314 2298 2281 2272 2243 2165 2052 1943 1862 1795
17 17 16 14 12 11 9 8 7 8 9 10 11 12 12 12 12 12 12 11 11 11 11 11 10 11 10 10 10 10 10 10 11 10 10 10 11 10 10 10 9 10 10 10 11 11 11 11 10 10 10 10 10 11 12 12 12 12 12 11 8 9 11 13 14 11 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 4 10 93 229 329 360 375 339 267 315 484 590 414 164 241 699 1187 1741 2053 2357 2550 2619 2620 2583 2511 2427 2370 2340 2331 2321 2280 2191 2073 1956 1862 1792
19 18 16 15 13 12 10 9 7 6 9 10 10 11 11 11 12 12 12 11 10 10 11 11 11 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 11 11 10 10 11 11 10 10 10 10 10 12 12 11 12 12 11 9 10 11 14 15 10 4 1 0 0 0 0 0 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 4 25 111 232 315 338 340 312 221 277 493 520 263 84 318 836 1309 1833 2219 2458 2582 2620 2632 2619 2565 2491 2433 2404 2399 2380 2314 2205 2079 1960 1859 1788
18 18 17 17 16 14 13 10 8 7 8 9 10 10 10 11 12 12 12 12 11 10 10 10 10 10 10 9 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 11 11 10 11 11 10 11 12 12 12 13 12 11 9 10 11 14 14 7 2 0 0 0 0 0 0 0 0 0 0 0 3 9 12 1 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 1 26 113 225 295 312 306 281 218 292 489 305 91 90 410 913 1393 1893 2307 2560 2682 2705 2679 2637 2590 2543 2500 2472 2459 2412 2316 2197 2073 1953 1849 1783
18 18 18 18 18 17 16 13 10 10 10 10 10 8 9 10 11 11 12 11 11 10 10 10 10 10 10 9 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 11 11 12 12 13 12 11 11 12 12 13 10 3 1 0 0 0 0 0 0 0 0 0 0 3 22 59 76 15 1 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 10 84 202 282 306 289 245 210 296 335 91 17 149 452 898 1407 1889 2305 2609 2765 2791 2731 2651 2595 2560 2527 2495 2454 2388 2279 2170 2054 1940 1846 1794
18 18 18 18 18 18 16 14 12 13 12 10 9 8 10 9 10 11 11 10 10 11 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 9 10 10 10 10 11 11 10 11 11 11 11 11 12 12 11 11 12 12 12 13 11 13 14 13 11 5 1 0 0 0 0 0 0 0 0 0 0 0 2 23 83 127 60 6 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 1 41 142 249 297 268 206 185 234 169 39 27 156 435 847 1332 1798 2183 2477 2682 2757 2727 2655 2593 2546 2505 2465 2378 2329 2250 2157 2046 1942 1861 1816
18 19 18 18 18 17 15 14 14 15 12 10 9 9 10 11 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 10 15 14 13 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 5 75 99 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 60 173 248 229 172 147 134 81 20 24 169 457 833 1279 1722 2052 2281 2513 2646 2680 2647 2592 2527 2471 2428 2354 2285 2225 2147 2049 1952 1878 1837
18 18 18 18 18 17 16 15 15 14 12 11 10 11 11 11 9 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 10 9 13 11 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 40 143 114 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 90 196 202 160 118 67 31 15 34 172 453 840 1279 1681 1960 2142 2358 2544 2624 2618 2579 2511 2445 2402 2354 2302 2234 2151 2055 1962 1890 1851
17 18 18 17 18 17 16 16 14 13 13 12 11 12 11 8 7 8 8 9 10 11 10 11 11 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 11 11 12 12 12 12 12 13 13 12 12 12 11 9 10 11 10 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 187 254 128 24 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 2 36 161 190 156 101 45 15 15 36 172 484 893 1283 1604 1858 2068 2278 2479 2576 2571 2542 2488 2435 2401 2372 2327 2257 2160 2055 1967 1904 1866
17 17 17 17 17 18 17 16 15 14 13 13 12 13 11 8 7 8 9 9 9 10 11 10 11 11 11 11 11 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 10 11 11 12 12 12 12 13 13 12 13 12 11 10 12 11 7 3 1 0 0 0 0 0 0 0 0 0 0 0 6 46 122 224 437 350 125 24 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 1 13 112 155 138 85 31 6 9 35 180 567 1033 1357 1595 1784 1966 2198 2400 2532 2526 2498 2464 2432 2403 2370 2323 2256 2161 2054 1971 1920 1879
18 17 17 17 17 17 17 16 15 14 14 14 13 13 12 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 10 10 11 11 11 11 10 10 11 12 12 12 13 13 13 13 14 13 13 13 12 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 21 171 468 662 581 385 108 19 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 4 57 105 103 65 24 4 6 43 208 677 1220 1451 1617 1698 1800 2046 2261 2461 2495 2473 2443 2413 2379 2336 2284 2224 2148 2057 1985 1939 1897
17 17 17 17 17 17 17 16 14 14 13 13 13 12 11 10 10 10 10 11 11 11 12 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 12 12 12 13 14 14 13 14 13 13 14 12 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 5 93 631 839 557 327 99 13 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 3 31 75 78 49 20 5 10 62 249 713 1257 1407 1442 1451 1524 1717 1975 2287 2443 2458 2423 2382 2340 2293 2241 2189 2133 2066 2006 1961 1922
17 17 17 16 16 17 16 15 14 14 14 14 13 11 11 11 12 11 11 11 12 12 12 11 11 11 11 12 12 12 12 11 11 12 11 10 10 10 11 11 10 10 11 10 10 11 11 12 12 13 13 14 15 14 14 14 14 13 12 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 12 132 739 714 436 294 154 39 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 3 21 58 65 44 28 21 29 94 295 706 1085 1255 1269 1246 1191 1235 1518 1976 2327 2434 2412 2356 2304 2258 2212 2167 2121 2069 2016 1976 1937
17 17 17 16 16 17 16 15 14 13 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 12 11 11 10 10 10 10 10 10 10 10 10 11 12 12 12 13 14 15 15 15 15 14 14 14 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 5 53 321 703 597 445 339 214 81 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 20 49 62 55 56 58 72 146 348 680 874 1046 1118 1075 869 751 997 1579 2145 2406 2415 2354 2289 2238 2197 2157 2113 2065 2014 1973 1937
16 16 16 15 16 17 17 15 14 14 14 13 13 12 12 12 12 12 12 13 12 12 12 12 12 12 12 12 13 12 12 13 13 12 12 11 10 10 10 10 10 10 10 10 10 12 12 13 13 14 15 15 15 14 15 15 15 14 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 131 448 415 331 329 269 161 67 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 29 54 72 91 99 120 208 402 654 808 980 1096 1014 693 436 589 1201 1934 2369 2434 2374 2300 2241 2196 2155 2111 2062 2007 1961 1921
16 16 16 16 16 16 16 15 15 15 14 13 13 12 12 12 12 12 12 13 13 12 12 12 12 12 13 13 13 13 12 13 13 13 13 12 11 11 10 10 10 10 10 10 11 12 13 13 14 15 15 15 15 16 16 15 15 13 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 13 132 301 196 86 103 94 56 18 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 1 7 22 46 97 141 148 172 267 438 635 803 973 1085 980 625 287 331 884 1697 2305 2466 2406 2330 2263 2209 2160 2111 2060 2008 1963 1923
17 17 17 16 16 16 16 15 15 15 14 14 13 13 13 13 13 13 13 13 13 12 12 12 12 12 13 13 13 12 13 13 13 13 13 13 12 12 11 11 10 11 11 11 12 12 13 13 14 15 15 16 16 16 16 15 16 13 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 19 37 119 147 62 41 17 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 10 48 90 93 146 209 225 253 336 482 663 838 970 1042 923 569 207 157 561 1328 2142 2479 2457 2387 2314 2245 2179 2114 2054 2005 1970 1939
18 18 18 16 16 16 16 16 15 14 13 14 13 13 13 13 13 12 13 13 12 12 12 12 12 13 13 13 13 13 12 13 13 13 13 13 13 12 12 11 11 11 11 12 12 13 13 14 14 14 15 16 16 16 16 16 16 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 13 8 71 93 29 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 14 85 197 259 251 271 287 323 406 542 696 832 935 990 866 511 154 50 238 844 1786 2367 2484 2446 2377 2299 2218 2135 2058 1997 1957 1933
18 19 19 17 16 16 17 16 16 15 15 15 14 14 13 13 13 12 13 13 12 12 12 12 13 13 13 13 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 13 13 13 14 15 15 15 16 16 16 16 16 14 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 19 23 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 4 42 248 493 474 399 353 377 469 601 726 824 906 952 814 450 116 12 47 433 1255 2037 2404 2466 2424 2349 2264 2174 2085 2005 1942 1903
19 19 19 18 17 17 16 16 15 16 16 16 15 15 14 14 13 13 13 12 12 12 13 13 13 13 13 12 13 13 12 12 12 13 13 13 13 13 13 12 12 13 13 13 13 13 14 15 15 15 16 16 16 17 17 16 10 3 0 0 0 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 10 253 612 742 663 519 482 533 621 721 821 903 911 719 359 80 7 2 176 722 1537 2156 2426 2458 2399 2309 2215 2124 2037 1957 1892
20 20 19 19 19 18 17 16 16 16 16 16 16 15 15 15 14 14 14 14 14 14 14 14 13 13 13 13 14 14 13 13 12 13 13 13 13 13 13 13 13 13 13 13 13 14 15 15 15 16 17 17 17 18 18 14 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 1 144 465 770 848 734 637 606 594 660 788 891 857 633 290 71 11 1 44 316 908 1615 2179 2429 2459 2381 2270 2165 2072 1986 1911
20 19 20 19 19 19 18 17 17 17 16 16 16 16 16 16 15 16 15 15 15 15 15 15 13 14 14 14 14 14 13 12 12 13 13 13 13 13 13 13 13 13 13 13 13 14 15 16 16 17 18 19 19 18 16 10 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 32 203 468 661 704 685 640 544 577 713 808 753 543 253 72 16 2 4 89 392 974 1689 2211 2442 2468 2373 2240 2117 2020 1944
20 20 20 19 19 19 18 18 18 17 17 17 17 16 16 16 16 16 16 16 16 16 16 15 14 14 15 14 15 15 14 13 13 13 13 13 13 13 13 13 13 13 14 13 13 14 15 16 16 18 19 19 19 18 16 8 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 0 0 0 0 0 0 0 0 1 41 140 280 422 534 547 457 466 575 625 548 379 168 51 13 2 0 14 110 399 937 1613 2106 2388 2444 2350 2207 2078 1984
20 19 19 18 18 19 18 18 18 17 17 18 17 18 18 17 17 17 17 16 16 16 16 16 15 15 15 14 15 15 15 14 13 13 13 13 13 13 13 13 13 14 14 14 14 15 15 16 17 18 19 19 19 18 15 8 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 0 0 0 0 0 0 0 0 2 19 65 152 278 399 405 367 345 392 376 288 177 69 23 7 1 0 1 13 80 300 779 1398 1944 2278 2369 2301 2175 2056
19 19 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 17 17 17 17 17 16 16 16 15 16 16 15 14 14 13 13 14 13 13 13 13 14 14 14 14 15 16 16 17 18 19 19 20 21 22 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 24 76 116 169 268 354 296 254 233 236 191 119 59 26 11 2 0 0 0 1 9 51 206 630 1224 1799 2151 2278 2253 2152
18 19 17 17 17 18 18 18 19 19 19 19 19 19 19 20 19 19 19 19 18 18 18 18 17 16 15 15 16 16 16 14 13 13 13 13 13 13 13 13 13 14 14 14 15 16 17 17 19 20 20 21 21 17 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 49 109 81 77 156 250 231 162 136 110 74 46 30 18 7 1 0 0 0 0 0 0 22 154 546 1158 1696 2049 2206 2207
18 18 17 17 17 18 19 19 19 20 21 21 20 20 20 20 20 20 19 19 19 19 18 18 17 17 16 16 16 16 16 14 13 13 13 13 13 13 13 13 13 14 14 15 15 16 18 19 20 21 22 22 21 15 9 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 0 0 0 0 0 0 0 0 1 12 32 15 7 39 107 150 109 80 60 46 35 24 12 3 0 0 0 0 0 0 0 0 19 161 619 1172 1656 1985 2141
19 18 18 18 18 19 20 20 21 21 21 21 21 21 20 20 21 20 19 20 20 19 19 18 18 17 17 16 16 16 15 14 14 14 13 13 13 13 13 13 13 14 14 15 16 16 18 19 21 22 23 23 20 15 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 4 35 73 68 59 51 38 22 11 3 0 0 0 0 0 0 0 0 0 14 92 373 809 1261 1655 1935
19 19 20 20 20 21 20 21 22 22 22 22 21 21 20 20 21 21 20 20 20 20 19 19 17 16 15 15 15 15 14 13 14 14 12 12 12 12 12 12 13 14 15 16 17 18 19 19 22 23 24 24 20 15 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14 31 38 38 34 23 11 3 0 0 0 0 0 0 0 0 0 1 21 109 333 684 1042 1399 1701
20 20 21 21 21 22 21 21 22 23 23 23 22 22 21 22 22 22 21 21 21 21 20 19 17 16 16 16 15 14 13 13 13 12 11 11 11 11 11 12 13 15 16 16 17 18 19 21 24 25 27 26 21 14 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 20 23 21 12 4 1 0 0 0 0 0 0 0 0 0 1 21 102 301 631 945 1265 1521
21 21 23 22 22 22 23 23 23 23 23 23 23 23 22 23 22 22 22 22 22 21 20 18 17 16 16 15 14 14 14 13 12 11 11 11 11 11 12 13 14 15 16 17 18 19 21 24 26 26 27 26 21 14 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 2 6 10 12 10 4 0 0 0 0 0 0 0 0 0 0 0 1 16 77 231 520 835 1163 1422
21 22 23 22 23 23 24 24 23 23 22 22 23 23 23 23 22 22 21 22 22 21 20 19 17 15 15 15 14 13 13 12 11 10 10 10 10 11 12 13 15 15 16 18 19 21 22 24 24 22 21 21 19 14 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 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 4 3 0 0 0 0 0 0 0 0 0 0 0 0 1 10 48 152 376 672 995 1269
22 23 23 22 24 23 24 23 22 22 22 23 22 22 23 23 23 21 21 21 21 21 19 18 16 15 14 13 13 12 11 11 10 9 9 9 9 10 11 14 15 16 18 20 21 22 25 24 20 16 13 13 13 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 27 96 266 488 746 976
23 23 22 22 24 24 23 22 21 22 23 24 23 24 23 23 22 21 21 21 20 19 18 16 15 14 14 12 12 11 10 9 9 9 8 8 8 9 11 13 16 17 19 21 22 23 23 19 14 9 7 8 10 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 65 177 319 500 670
24 24 22 22 24 23 21 20 21 23 24 24 24 24 23 22 22 21 21 20 19 18 17 15 15 14 13 11 10 9 8 8 8 8 7 6 7 9 11 13 15 17 20 19 19 19 17 13 9 6 5 6 8 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 42 99 167 256 357
25 24 24 24 24 22 20 19 21 22 23 23 23 23 22 23 22 21 21 20 19 17 16 15 14 13 12 10 8 7 7 6 6 6 5 5 7 9 11 13 16 19 22 18 15 14 13 11 8 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 27 53 83 133 184
25 25 25 24 23 22 21 20 19 20 21 22 22 22 22 22 21 21 20 19 18 17 15 14 13 12 10 8 6 6 5 4 4 4 4 5 6 8 11 14 18 21 21 15 13 11 10 9 7 5 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 17 27 41 58 69
25 25 25 24 23 23 22 21 20 20 21 21 21 20 20 21 20 20 19 18 16 16 15 14 13 11 9 6 5 4 2 2 2 2 3 4 5 6 8 12 15 16 15 12 10 8 6 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 10 15 23 32 36
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